TSTP Solution File: GRP239-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP239-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 : Mon Jun 24 06:58:51 EDT 2024
% Result : Unsatisfiable 31.22s 5.23s
% Output : CNFRefutation 31.22s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( inverse(sk_c9) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( inverse(sk_c9) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c8
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c8
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( inverse(sk_c4) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
cnf(c_87,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
cnf(c_90,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_91,negated_conjecture,
( multiply(X0,X1) != sk_c8
| multiply(X1,sk_c9) != sk_c8
| multiply(X2,sk_c8) != sk_c9
| multiply(X3,sk_c9) != X4
| multiply(X5,sk_c8) != sk_c9
| multiply(X6,sk_c8) != sk_c9
| multiply(sk_c9,X4) != sk_c8
| inverse(X0) != X1
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9
| inverse(X5) != sk_c9
| inverse(X6) != sk_c8
| inverse(sk_c9) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
cnf(c_92,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_93,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_94,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_95,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| multiply(X1,inverse(X1)) != sk_c8
| multiply(inverse(X1),sk_c9) != sk_c8
| multiply(X2,sk_c8) != sk_c9
| multiply(X3,sk_c8) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| inverse(X0) != sk_c9
| inverse(X2) != sk_c9
| inverse(X3) != sk_c9
| inverse(X4) != sk_c8
| inverse(sk_c9) != sk_c8 ),
inference(unflattening,[status(thm)],[c_91]) ).
cnf(c_96,plain,
multiply(identity,sk_c9) = sk_c9,
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_97,plain,
multiply(inverse(sk_c9),sk_c9) = identity,
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_488,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c9
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_95]) ).
cnf(c_489,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c9) != sk_c8
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_95]) ).
cnf(c_490,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c8
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_95]) ).
cnf(c_491,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| inverse(X0) != sk_c9
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_95]) ).
cnf(c_492,negated_conjecture,
( inverse(sk_c9) != sk_c8
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_95]) ).
cnf(c_493,plain,
inverse(sk_c9) = sP4_iProver_def,
definition ).
cnf(c_494,plain,
multiply(sk_c7,sk_c9) = sP5_iProver_def,
definition ).
cnf(c_495,plain,
inverse(sk_c2) = sP6_iProver_def,
definition ).
cnf(c_498,plain,
inverse(sk_c5) = sP9_iProver_def,
definition ).
cnf(c_499,plain,
multiply(sk_c5,sk_c8) = sP10_iProver_def,
definition ).
cnf(c_500,plain,
multiply(sk_c4,sk_c8) = sP11_iProver_def,
definition ).
cnf(c_501,plain,
inverse(sk_c4) = sP12_iProver_def,
definition ).
cnf(c_502,plain,
multiply(sk_c2,sk_c9) = sP13_iProver_def,
definition ).
cnf(c_503,plain,
multiply(sk_c9,sk_c3) = sP14_iProver_def,
definition ).
cnf(c_504,plain,
multiply(sk_c1,sk_c8) = sP15_iProver_def,
definition ).
cnf(c_505,plain,
inverse(sk_c1) = sP16_iProver_def,
definition ).
cnf(c_506,negated_conjecture,
( sP4_iProver_def != sk_c8
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_492,c_493]) ).
cnf(c_507,negated_conjecture,
( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
| inverse(X0) != sk_c9
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_491]) ).
cnf(c_508,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c8
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_490]) ).
cnf(c_509,negated_conjecture,
( multiply(X0,inverse(X0)) != sk_c8
| multiply(inverse(X0),sk_c9) != sk_c8
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_489]) ).
cnf(c_511,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c9
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_488]) ).
cnf(c_512,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP6_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_90,c_495,c_494]) ).
cnf(c_515,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP9_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_87,c_498]) ).
cnf(c_516,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP10_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_86,c_499]) ).
cnf(c_517,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP11_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_85,c_500]) ).
cnf(c_518,negated_conjecture,
( sP6_iProver_def = sk_c9
| sP12_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_84,c_501]) ).
cnf(c_519,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP13_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_83,c_502]) ).
cnf(c_522,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP13_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_80]) ).
cnf(c_523,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP13_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_79]) ).
cnf(c_524,negated_conjecture,
( sP11_iProver_def = sk_c9
| sP13_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_78]) ).
cnf(c_525,negated_conjecture,
( sP12_iProver_def = sk_c9
| sP13_iProver_def = sk_c3 ),
inference(demodulation,[status(thm)],[c_77]) ).
cnf(c_526,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_76,c_503]) ).
cnf(c_529,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_530,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_72]) ).
cnf(c_531,negated_conjecture,
( sP11_iProver_def = sk_c9
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_532,negated_conjecture,
( sP12_iProver_def = sk_c9
| sP14_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_533,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP15_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_69,c_504]) ).
cnf(c_536,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP15_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_537,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP15_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_538,negated_conjecture,
( sP11_iProver_def = sk_c9
| sP15_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_539,negated_conjecture,
( sP12_iProver_def = sk_c9
| sP15_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_540,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_62,c_505]) ).
cnf(c_543,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_544,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_545,negated_conjecture,
( sP11_iProver_def = sk_c9
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_546,negated_conjecture,
( sP12_iProver_def = sk_c9
| sP16_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_547,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP5_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_550,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP9_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_551,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP10_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_552,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP11_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_553,negated_conjecture,
( sP4_iProver_def = sk_c8
| sP12_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_554,plain,
X0 = X0,
theory(equality) ).
cnf(c_555,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_557,plain,
( X0 != X1
| X2 != X3
| multiply(X0,X2) = multiply(X1,X3) ),
theory(equality) ).
cnf(c_560,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_554]) ).
cnf(c_851,plain,
( sk_c9 = sP6_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_516,c_517]) ).
cnf(c_861,plain,
( sk_c9 = sP6_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_518,c_517]) ).
cnf(c_862,plain,
( sk_c9 = sP6_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_518,c_516]) ).
cnf(c_949,plain,
( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
| sk_c9 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_515,c_499]) ).
cnf(c_984,plain,
( multiply(sk_c9,sP13_iProver_def) = sP14_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_525,c_503]) ).
cnf(c_987,plain,
( multiply(sk_c9,sP13_iProver_def) = sP14_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_522,c_503]) ).
cnf(c_990,plain,
( multiply(sk_c9,sP13_iProver_def) = sP14_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_519,c_503]) ).
cnf(c_1011,plain,
( multiply(sk_c1,sP14_iProver_def) = sP15_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_526,c_504]) ).
cnf(c_1023,plain,
multiply(sP4_iProver_def,sk_c9) = identity,
inference(superposition,[status(thm)],[c_493,c_93]) ).
cnf(c_1024,plain,
multiply(sP12_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_501,c_93]) ).
cnf(c_1025,plain,
multiply(sP9_iProver_def,sk_c5) = identity,
inference(superposition,[status(thm)],[c_498,c_93]) ).
cnf(c_1027,plain,
multiply(sP16_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_505,c_93]) ).
cnf(c_1028,plain,
multiply(sP6_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_495,c_93]) ).
cnf(c_1066,plain,
( sk_c8 != X0
| sP4_iProver_def != X0
| sP4_iProver_def = sk_c8 ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_1069,plain,
( X0 != X1
| sk_c8 != X1
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_1070,plain,
( X0 != sk_c8
| sk_c8 != sk_c8
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_1069]) ).
cnf(c_1071,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_554]) ).
cnf(c_1072,plain,
( sk_c9 != sk_c8
| sk_c8 != sk_c8
| sk_c8 = sk_c9 ),
inference(instantiation,[status(thm)],[c_1070]) ).
cnf(c_1081,plain,
( multiply(sk_c1,sP14_iProver_def) = sP15_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_529,c_504]) ).
cnf(c_1104,plain,
( multiply(identity,sk_c8) != sk_c8
| sk_c8 != sk_c8
| sk_c8 = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_1070]) ).
cnf(c_1105,plain,
multiply(identity,sk_c8) = sk_c8,
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_1107,plain,
( X0 != X1
| sk_c8 != X1
| X0 = sk_c8 ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_1109,plain,
( sk_c8 != sk_c8
| sP5_iProver_def != sk_c8
| sk_c8 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_1070]) ).
cnf(c_1111,plain,
( sk_c8 != sk_c8
| sP9_iProver_def != sk_c8
| sk_c8 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_1070]) ).
cnf(c_1120,plain,
( multiply(sk_c1,sP14_iProver_def) = sP15_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_530,c_504]) ).
cnf(c_1151,plain,
( multiply(sk_c1,sP14_iProver_def) = sP15_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_531,c_504]) ).
cnf(c_1185,plain,
( multiply(sk_c1,sP14_iProver_def) = sP15_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_532,c_504]) ).
cnf(c_1219,plain,
( X0 != multiply(identity,sk_c8)
| sk_c8 != multiply(identity,sk_c8)
| X0 = sk_c8 ),
inference(instantiation,[status(thm)],[c_1107]) ).
cnf(c_1220,plain,
( sk_c9 != multiply(identity,sk_c8)
| sk_c8 != multiply(identity,sk_c8)
| sk_c9 = sk_c8 ),
inference(instantiation,[status(thm)],[c_1219]) ).
cnf(c_1238,plain,
( multiply(sk_c1,sP5_iProver_def) = sP15_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_533,c_504]) ).
cnf(c_1239,plain,
( multiply(sk_c4,sP5_iProver_def) = sP11_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_533,c_500]) ).
cnf(c_1361,plain,
multiply(identity,sP9_iProver_def) = sP9_iProver_def,
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_1363,plain,
( X0 != X1
| sP9_iProver_def != X1
| X0 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_1382,plain,
( sk_c9 = sP15_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_536,c_533]) ).
cnf(c_1388,plain,
( multiply(sk_c1,sP9_iProver_def) = sP15_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_536,c_504]) ).
cnf(c_1390,plain,
( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_536,c_499]) ).
cnf(c_1432,plain,
sP9_iProver_def = sP9_iProver_def,
inference(instantiation,[status(thm)],[c_554]) ).
cnf(c_1445,plain,
( multiply(sk_c2,sP15_iProver_def) = sP13_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_537,c_502]) ).
cnf(c_1480,plain,
( multiply(identity,sk_c8) != X0
| X1 != X0
| X1 = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_1496,plain,
( multiply(sk_c2,sP15_iProver_def) = sP13_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_538,c_502]) ).
cnf(c_1542,plain,
( multiply(sk_c2,sP15_iProver_def) = sP13_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_539,c_502]) ).
cnf(c_1595,plain,
( multiply(sk_c1,sP5_iProver_def) = sP15_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_540,c_504]) ).
cnf(c_1751,plain,
sP4_iProver_def = sP4_iProver_def,
inference(instantiation,[status(thm)],[c_554]) ).
cnf(c_1752,plain,
( X0 != X1
| sP4_iProver_def != X1
| sP4_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_1771,plain,
( sk_c9 = sP16_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_543,c_540]) ).
cnf(c_1779,plain,
( multiply(sk_c1,sP9_iProver_def) = sP15_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_543,c_504]) ).
cnf(c_1781,plain,
( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_543,c_499]) ).
cnf(c_1842,plain,
( sk_c9 = sP10_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_544,c_537]) ).
cnf(c_1847,plain,
( inverse(sP16_iProver_def) = sP4_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_544,c_493]) ).
cnf(c_1882,plain,
( X0 != X1
| sP9_iProver_def != X1
| sP9_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_1893,plain,
( multiply(identity,sk_c8) != multiply(X0,X1)
| X2 != multiply(X0,X1)
| X2 = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_1480]) ).
cnf(c_1895,plain,
( multiply(identity,sk_c8) != multiply(sk_c9,sk_c9)
| sk_c9 != multiply(sk_c9,sk_c9)
| sk_c9 = multiply(identity,sk_c8) ),
inference(instantiation,[status(thm)],[c_1893]) ).
cnf(c_1912,plain,
( sk_c9 = sP11_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_545,c_538]) ).
cnf(c_1916,plain,
( multiply(sk_c2,sP16_iProver_def) = sP13_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_545,c_502]) ).
cnf(c_1918,plain,
( inverse(sP16_iProver_def) = sP4_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_545,c_493]) ).
cnf(c_1964,plain,
multiply(identity,identity) = identity,
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_1969,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_554]) ).
cnf(c_1995,plain,
( sk_c9 = sP12_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_546,c_539]) ).
cnf(c_2000,plain,
( multiply(sk_c2,sP16_iProver_def) = sP13_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_546,c_502]) ).
cnf(c_2002,plain,
( inverse(sP16_iProver_def) = sP4_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_546,c_493]) ).
cnf(c_2335,plain,
( multiply(sk_c1,sP9_iProver_def) = sP15_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_550,c_504]) ).
cnf(c_2458,plain,
( sk_c9 = sP10_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_551,c_530]) ).
cnf(c_2459,plain,
( sk_c9 = sP10_iProver_def
| sk_c8 = sP9_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_551,c_529]) ).
cnf(c_2461,plain,
( multiply(sk_c1,sP4_iProver_def) = sP15_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_551,c_504]) ).
cnf(c_2572,plain,
( multiply(identity,sP9_iProver_def) != X0
| X1 != X0
| X1 = multiply(identity,sP9_iProver_def) ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_2611,plain,
( sk_c9 = sP11_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_552,c_531]) ).
cnf(c_2615,plain,
( multiply(sk_c1,sP4_iProver_def) = sP15_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_552,c_504]) ).
cnf(c_2749,plain,
( sk_c9 = sP12_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_553,c_532]) ).
cnf(c_2868,plain,
( X0 != sP4_iProver_def
| sP4_iProver_def != sP4_iProver_def
| sP4_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1752]) ).
cnf(c_2869,plain,
( sk_c9 != sP4_iProver_def
| sP4_iProver_def != sP4_iProver_def
| sP4_iProver_def = sk_c9 ),
inference(instantiation,[status(thm)],[c_2868]) ).
cnf(c_2910,plain,
multiply(sk_c7,multiply(sk_c9,X0)) = multiply(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_494,c_94]) ).
cnf(c_2911,plain,
multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sP15_iProver_def,X0),
inference(superposition,[status(thm)],[c_504,c_94]) ).
cnf(c_2913,plain,
multiply(sk_c2,multiply(sk_c9,X0)) = multiply(sP13_iProver_def,X0),
inference(superposition,[status(thm)],[c_502,c_94]) ).
cnf(c_2915,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_93,c_94]) ).
cnf(c_2917,plain,
multiply(sP4_iProver_def,multiply(sk_c9,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1023,c_94]) ).
cnf(c_2918,plain,
multiply(sP12_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1024,c_94]) ).
cnf(c_2919,plain,
multiply(sP9_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1025,c_94]) ).
cnf(c_2921,plain,
multiply(sP16_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1027,c_94]) ).
cnf(c_2922,plain,
multiply(sP6_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1028,c_94]) ).
cnf(c_2924,plain,
multiply(sP6_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2922,c_92]) ).
cnf(c_2925,plain,
multiply(sP16_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2921,c_92]) ).
cnf(c_2927,plain,
multiply(sP9_iProver_def,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2919,c_92]) ).
cnf(c_2928,plain,
multiply(sP12_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2918,c_92]) ).
cnf(c_2929,plain,
multiply(sP4_iProver_def,multiply(sk_c9,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2917,c_92]) ).
cnf(c_2957,plain,
( X0 != sP9_iProver_def
| sP9_iProver_def != sP9_iProver_def
| sP9_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1882]) ).
cnf(c_3219,plain,
( sk_c9 = sP11_iProver_def
| sP6_iProver_def = sP16_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_851,c_545]) ).
cnf(c_3220,plain,
( sk_c9 = sP10_iProver_def
| sP6_iProver_def = sP16_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_851,c_544]) ).
cnf(c_3222,plain,
( sk_c9 = sP11_iProver_def
| sP6_iProver_def = sP15_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_851,c_538]) ).
cnf(c_3223,plain,
( sk_c9 = sP10_iProver_def
| sP6_iProver_def = sP15_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_851,c_537]) ).
cnf(c_3226,plain,
( multiply(sk_c2,sP6_iProver_def) = sP13_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_851,c_502]) ).
cnf(c_3228,plain,
( inverse(sP6_iProver_def) = sP4_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_851,c_493]) ).
cnf(c_3287,plain,
( sk_c9 = sP10_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_551,c_506]) ).
cnf(c_3288,plain,
( sP4_iProver_def != sP9_iProver_def
| sk_c8 = sP4_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_550,c_506]) ).
cnf(c_3290,plain,
( sP4_iProver_def != sP5_iProver_def
| sk_c8 = sP4_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_547,c_506]) ).
cnf(c_3300,plain,
( sP4_iProver_def != sP14_iProver_def
| sk_c8 = sP9_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_529,c_506]) ).
cnf(c_3302,plain,
( sP4_iProver_def != sP14_iProver_def
| sk_c8 = sP5_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_526,c_506]) ).
cnf(c_3457,plain,
( inverse(sk_c5) != sk_c8
| sk_c9 != sP10_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_499,c_508]) ).
cnf(c_3458,plain,
( inverse(sk_c1) != sk_c8
| sk_c9 != sP15_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_504,c_508]) ).
cnf(c_3459,plain,
( inverse(identity) != sk_c8
| sk_c9 != sk_c8
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_92,c_508]) ).
cnf(c_3486,plain,
( sk_c9 != sP15_iProver_def
| sk_c8 != sP16_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3458,c_505]) ).
cnf(c_3490,plain,
( sk_c9 != sP10_iProver_def
| sk_c8 != sP9_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3457,c_498]) ).
cnf(c_3618,plain,
( X0 != sk_c8
| sP4_iProver_def != sk_c8
| sP4_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1752]) ).
cnf(c_3649,plain,
( sk_c8 != sP14_iProver_def
| sP4_iProver_def != sP14_iProver_def
| sP4_iProver_def = sk_c8 ),
inference(instantiation,[status(thm)],[c_1066]) ).
cnf(c_3652,plain,
( X0 != sP14_iProver_def
| sk_c8 != sP14_iProver_def
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_1069]) ).
cnf(c_3653,plain,
( sk_c9 != sP14_iProver_def
| sk_c8 != sP14_iProver_def
| sk_c8 = sk_c9 ),
inference(instantiation,[status(thm)],[c_3652]) ).
cnf(c_3656,plain,
( sk_c8 != sP4_iProver_def
| sP4_iProver_def != sP4_iProver_def
| sP4_iProver_def = sk_c8 ),
inference(instantiation,[status(thm)],[c_1066]) ).
cnf(c_3658,plain,
( X0 != sP4_iProver_def
| sk_c8 != sP4_iProver_def
| X0 = sk_c8 ),
inference(instantiation,[status(thm)],[c_1107]) ).
cnf(c_3659,plain,
( X0 != sP4_iProver_def
| sk_c8 != sP4_iProver_def
| sk_c8 = X0 ),
inference(instantiation,[status(thm)],[c_1069]) ).
cnf(c_3660,plain,
( sk_c9 != sP4_iProver_def
| sk_c8 != sP4_iProver_def
| sk_c8 = sk_c9 ),
inference(instantiation,[status(thm)],[c_3659]) ).
cnf(c_3661,plain,
( sk_c9 != sP4_iProver_def
| sk_c8 != sP4_iProver_def
| sk_c9 = sk_c8 ),
inference(instantiation,[status(thm)],[c_3658]) ).
cnf(c_3709,plain,
( inverse(sk_c4) != sk_c9
| sk_c9 != sP11_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_500,c_511]) ).
cnf(c_3711,plain,
( inverse(sk_c1) != sk_c9
| sk_c9 != sP15_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_504,c_511]) ).
cnf(c_3739,plain,
( sk_c9 != sP15_iProver_def
| sk_c9 != sP16_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3711,c_505]) ).
cnf(c_3747,plain,
( sk_c9 != sP11_iProver_def
| sk_c9 != sP12_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3709,c_501]) ).
cnf(c_3877,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_3975,plain,
( multiply(sk_c9,sk_c9) != sk_c8
| inverse(identity) != sk_c9
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_92,c_507]) ).
cnf(c_4132,plain,
( sP4_iProver_def != sk_c8
| sP14_iProver_def != sk_c8
| sP4_iProver_def = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_3618]) ).
cnf(c_4143,plain,
( multiply(sk_c9,inverse(sk_c9)) != sk_c8
| multiply(sP4_iProver_def,sk_c9) != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_493,c_509]) ).
cnf(c_4312,plain,
( sk_c9 = sP12_iProver_def
| sP6_iProver_def = sP16_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_861,c_546]) ).
cnf(c_4313,plain,
( sk_c9 = sP11_iProver_def
| sP6_iProver_def = sP16_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_861,c_545]) ).
cnf(c_4315,plain,
( sk_c9 = sP12_iProver_def
| sP6_iProver_def = sP15_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_861,c_539]) ).
cnf(c_4316,plain,
( sk_c9 = sP11_iProver_def
| sP6_iProver_def = sP15_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_861,c_538]) ).
cnf(c_4320,plain,
( multiply(sk_c2,sP6_iProver_def) = sP13_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_861,c_502]) ).
cnf(c_4322,plain,
( inverse(sP6_iProver_def) = sP4_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_861,c_493]) ).
cnf(c_4430,plain,
sP14_iProver_def = sP14_iProver_def,
inference(instantiation,[status(thm)],[c_554]) ).
cnf(c_4431,plain,
( X0 != X1
| sP14_iProver_def != X1
| X0 = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_4478,plain,
( sk_c9 = sP12_iProver_def
| sP6_iProver_def = sP16_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_862,c_546]) ).
cnf(c_4480,plain,
( sk_c9 = sP10_iProver_def
| sP6_iProver_def = sP16_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_862,c_544]) ).
cnf(c_4486,plain,
( multiply(sk_c2,sP6_iProver_def) = sP13_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_862,c_502]) ).
cnf(c_4488,plain,
( inverse(sP6_iProver_def) = sP4_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_862,c_493]) ).
cnf(c_5134,plain,
( sP5_iProver_def = sP9_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1771,c_1382]) ).
cnf(c_5449,plain,
( sP10_iProver_def = sP11_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1912,c_1842]) ).
cnf(c_5696,plain,
( sP11_iProver_def = sP12_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1995,c_1912]) ).
cnf(c_5697,plain,
( sP10_iProver_def = sP12_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1995,c_1842]) ).
cnf(c_6537,plain,
( sP4_iProver_def = sP14_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_2611,c_2458]) ).
cnf(c_6859,plain,
( multiply(identity,sP9_iProver_def) != sP9_iProver_def
| sP9_iProver_def != sP9_iProver_def
| sP9_iProver_def = multiply(identity,sP9_iProver_def) ),
inference(instantiation,[status(thm)],[c_2957]) ).
cnf(c_6921,plain,
multiply(sP6_iProver_def,sP13_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_502,c_2924]) ).
cnf(c_6924,plain,
multiply(sP6_iProver_def,multiply(sP13_iProver_def,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_6921,c_94]) ).
cnf(c_6947,plain,
multiply(sP16_iProver_def,sP15_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_504,c_2925]) ).
cnf(c_6950,plain,
multiply(sP16_iProver_def,multiply(sP15_iProver_def,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_6947,c_94]) ).
cnf(c_6969,plain,
multiply(sP9_iProver_def,sP10_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_499,c_2927]) ).
cnf(c_6972,plain,
multiply(sP9_iProver_def,multiply(sP10_iProver_def,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_6969,c_94]) ).
cnf(c_7151,plain,
multiply(sP12_iProver_def,sP11_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_500,c_2928]) ).
cnf(c_7183,plain,
multiply(sP4_iProver_def,sP14_iProver_def) = sk_c3,
inference(superposition,[status(thm)],[c_503,c_2929]) ).
cnf(c_7509,plain,
( X0 != X1
| sP4_iProver_def != X1
| X0 = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_8639,plain,
( multiply(sP6_iProver_def,sP13_iProver_def) = sP14_iProver_def
| sk_c9 = sP12_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_861,c_984]) ).
cnf(c_8647,plain,
( multiply(sP15_iProver_def,sP13_iProver_def) = sP14_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_539,c_984]) ).
cnf(c_8692,plain,
( sk_c9 = sP12_iProver_def
| sk_c9 = sP14_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8639,c_6921]) ).
cnf(c_8919,plain,
( X0 != identity
| identity != identity
| identity = X0 ),
inference(instantiation,[status(thm)],[c_3877]) ).
cnf(c_8920,plain,
( sk_c9 != identity
| identity != identity
| identity = sk_c9 ),
inference(instantiation,[status(thm)],[c_8919]) ).
cnf(c_9399,plain,
( sP5_iProver_def != sP9_iProver_def
| sP9_iProver_def != sP9_iProver_def
| sP9_iProver_def = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_2957]) ).
cnf(c_10492,plain,
( multiply(sP16_iProver_def,sP15_iProver_def) = sP14_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1151,c_2925]) ).
cnf(c_10493,plain,
( sk_c9 = sP11_iProver_def
| sk_c8 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10492,c_6947]) ).
cnf(c_10540,plain,
( multiply(sP16_iProver_def,sP15_iProver_def) = sP14_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1185,c_2925]) ).
cnf(c_10541,plain,
( sk_c9 = sP12_iProver_def
| sk_c8 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10540,c_6947]) ).
cnf(c_10578,plain,
( multiply(sP16_iProver_def,sP15_iProver_def) = sP5_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1238,c_2925]) ).
cnf(c_10579,plain,
( sk_c9 = sP15_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10578,c_6947]) ).
cnf(c_10652,plain,
( X0 != sP5_iProver_def
| sP9_iProver_def != sP5_iProver_def
| sP9_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_1882]) ).
cnf(c_10920,plain,
( multiply(sP16_iProver_def,sP15_iProver_def) = sP9_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1388,c_2925]) ).
cnf(c_10921,plain,
( sk_c9 = sP15_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_10920,c_6947]) ).
cnf(c_11014,plain,
( multiply(sP6_iProver_def,sP13_iProver_def) = sP15_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1445,c_2924]) ).
cnf(c_11015,plain,
( sk_c9 = sP10_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_11014,c_6921]) ).
cnf(c_11263,plain,
( multiply(sP6_iProver_def,sP13_iProver_def) = sP15_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1496,c_2924]) ).
cnf(c_11264,plain,
( sk_c9 = sP11_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_11263,c_6921]) ).
cnf(c_11398,plain,
( multiply(sP6_iProver_def,sP13_iProver_def) = sP15_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1542,c_2924]) ).
cnf(c_11399,plain,
( sk_c9 = sP12_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_11398,c_6921]) ).
cnf(c_11452,plain,
( multiply(sP16_iProver_def,sP15_iProver_def) = sP5_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1595,c_2925]) ).
cnf(c_11453,plain,
( sk_c9 = sP16_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_11452,c_6947]) ).
cnf(c_11850,plain,
( multiply(sP16_iProver_def,sP15_iProver_def) = sP9_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_1779,c_2925]) ).
cnf(c_11851,plain,
( sk_c9 = sP16_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_11850,c_6947]) ).
cnf(c_12253,plain,
( multiply(sP6_iProver_def,sP13_iProver_def) = sP16_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1916,c_2924]) ).
cnf(c_12254,plain,
( sk_c9 = sP11_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12253,c_6921]) ).
cnf(c_12348,plain,
( multiply(sP6_iProver_def,sP13_iProver_def) = sP16_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_2000,c_2924]) ).
cnf(c_12349,plain,
( sk_c9 = sP12_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12348,c_6921]) ).
cnf(c_12827,plain,
( multiply(sP16_iProver_def,sP15_iProver_def) = sP9_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_2335,c_2925]) ).
cnf(c_12828,plain,
( sk_c8 = sP4_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12827,c_6947]) ).
cnf(c_12859,plain,
( multiply(sP16_iProver_def,sP15_iProver_def) = sP4_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_2461,c_2925]) ).
cnf(c_12860,plain,
( sk_c9 = sP10_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12859,c_6947]) ).
cnf(c_12891,plain,
( multiply(sP16_iProver_def,sP15_iProver_def) = sP4_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_2615,c_2925]) ).
cnf(c_12892,plain,
( sk_c9 = sP11_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_12891,c_6947]) ).
cnf(c_13787,plain,
multiply(sk_c7,sP14_iProver_def) = multiply(sP5_iProver_def,sk_c3),
inference(superposition,[status(thm)],[c_503,c_2910]) ).
cnf(c_16113,plain,
( multiply(sk_c8,sP13_iProver_def) = multiply(sP16_iProver_def,sP14_iProver_def)
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_8647,c_6950]) ).
cnf(c_16247,plain,
( sk_c8 = sP9_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2459,c_529,c_550,c_1071,c_1111,c_4132]) ).
cnf(c_16332,plain,
( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_16247,c_499]) ).
cnf(c_17317,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2915,c_92]) ).
cnf(c_17351,plain,
multiply(inverse(sk_c4),sP11_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_500,c_17317]) ).
cnf(c_17358,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_92,c_17317]) ).
cnf(c_17359,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_93,c_17317]) ).
cnf(c_17360,plain,
multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_94,c_17317]) ).
cnf(c_17420,plain,
( multiply(inverse(sk_c4),sP11_iProver_def) = sP5_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1239,c_17317]) ).
cnf(c_17557,plain,
multiply(inverse(sP4_iProver_def),X0) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_2929,c_17317]) ).
cnf(c_17558,plain,
multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2928,c_17317]) ).
cnf(c_17559,plain,
multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2927,c_17317]) ).
cnf(c_17561,plain,
multiply(inverse(sP16_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2925,c_17317]) ).
cnf(c_17562,plain,
multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2924,c_17317]) ).
cnf(c_17620,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_17317,c_17317]) ).
cnf(c_18227,plain,
( multiply(identity,inverse(identity)) != sk_c8
| sk_c9 != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_17358,c_509]) ).
cnf(c_18228,plain,
( inverse(inverse(identity)) != sk_c9
| multiply(sk_c9,sk_c9) != sk_c8
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_17358,c_507]) ).
cnf(c_18249,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_17359,c_17620]) ).
cnf(c_18258,plain,
multiply(sk_c1,sk_c8) = multiply(sP15_iProver_def,identity),
inference(superposition,[status(thm)],[c_18249,c_2911]) ).
cnf(c_18264,plain,
multiply(sk_c2,sk_c9) = multiply(sP13_iProver_def,identity),
inference(superposition,[status(thm)],[c_18249,c_2913]) ).
cnf(c_18267,plain,
multiply(sk_c8,identity) = multiply(sP16_iProver_def,sP15_iProver_def),
inference(superposition,[status(thm)],[c_18249,c_6950]) ).
cnf(c_18270,plain,
multiply(sk_c9,identity) = multiply(sP6_iProver_def,sP13_iProver_def),
inference(superposition,[status(thm)],[c_18249,c_6924]) ).
cnf(c_18276,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_18249,c_17358]) ).
cnf(c_18282,plain,
multiply(sP13_iProver_def,identity) = sP13_iProver_def,
inference(light_normalisation,[status(thm)],[c_18264,c_502]) ).
cnf(c_18288,plain,
multiply(sP15_iProver_def,identity) = sP15_iProver_def,
inference(light_normalisation,[status(thm)],[c_18258,c_504]) ).
cnf(c_18294,plain,
( multiply(identity,inverse(identity)) != sk_c8
| multiply(identity,sk_c9) != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_18276,c_509]) ).
cnf(c_18295,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_18276,c_93]) ).
cnf(c_18297,plain,
( multiply(identity,sk_c9) != sk_c8
| multiply(identity,identity) != sk_c8
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_18294,c_18276]) ).
cnf(c_18788,plain,
( sP6_iProver_def = sP16_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_3220,c_3219]) ).
cnf(c_19366,plain,
( sP6_iProver_def = sP15_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_3223,c_3222]) ).
cnf(c_19873,plain,
( sP6_iProver_def = sP16_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_4313,c_4312]) ).
cnf(c_20140,plain,
( X0 != multiply(identity,sP9_iProver_def)
| sP9_iProver_def != multiply(identity,sP9_iProver_def)
| X0 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_1363]) ).
cnf(c_20141,plain,
( sk_c9 != multiply(identity,sP9_iProver_def)
| sP9_iProver_def != multiply(identity,sP9_iProver_def)
| sk_c9 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_20140]) ).
cnf(c_20192,plain,
( sP6_iProver_def = sP15_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_4316,c_4315]) ).
cnf(c_20258,plain,
( sk_c8 != sP16_iProver_def
| ~ sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3486,c_3490,c_3486,c_10921,c_11015]) ).
cnf(c_20291,plain,
( sP4_iProver_def != sP16_iProver_def
| ~ sP2_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_553,c_20258]) ).
cnf(c_20294,plain,
( sP9_iProver_def != sP16_iProver_def
| ~ sP2_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_550,c_20258]) ).
cnf(c_20300,plain,
( sP9_iProver_def != sP16_iProver_def
| ~ sP2_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_536,c_20258]) ).
cnf(c_20303,plain,
( sP14_iProver_def != sP16_iProver_def
| ~ sP2_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_532,c_20258]) ).
cnf(c_20305,plain,
( sP14_iProver_def != sP16_iProver_def
| ~ sP2_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_530,c_20258]) ).
cnf(c_20306,plain,
( sP14_iProver_def != sP16_iProver_def
| ~ sP2_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_529,c_20258]) ).
cnf(c_21110,plain,
( inverse(inverse(sP4_iProver_def)) != sk_c8
| multiply(sk_c9,sk_c8) != sk_c9
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_17557,c_508]) ).
cnf(c_21113,plain,
multiply(sk_c9,sP4_iProver_def) = identity,
inference(superposition,[status(thm)],[c_17557,c_93]) ).
cnf(c_21116,plain,
multiply(sk_c9,multiply(sP4_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_17557,c_17317]) ).
cnf(c_21117,plain,
multiply(sk_c9,identity) = inverse(sP4_iProver_def),
inference(superposition,[status(thm)],[c_17557,c_18249]) ).
cnf(c_21133,plain,
( ~ sP2_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_20294,c_3490,c_12828,c_12860]) ).
cnf(c_21153,plain,
( ~ sP2_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_20300,c_3490,c_10921,c_11015]) ).
cnf(c_21201,plain,
multiply(sk_c2,identity) = multiply(sP13_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_21113,c_2913]) ).
cnf(c_21202,plain,
multiply(sk_c7,identity) = multiply(sP5_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_21113,c_2910]) ).
cnf(c_21512,plain,
inverse(sP4_iProver_def) = sk_c9,
inference(demodulation,[status(thm)],[c_21117,c_18249]) ).
cnf(c_21586,plain,
( inverse(sP4_iProver_def) != sk_c9
| sk_c9 != sk_c8
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_21116,c_507]) ).
cnf(c_21692,plain,
( sk_c9 != sk_c8
| ~ sP3_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_21586,c_21512]) ).
cnf(c_21811,plain,
( sk_c9 != sP9_iProver_def
| ~ sP3_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_16247,c_21692]) ).
cnf(c_21836,plain,
( sk_c9 != sP4_iProver_def
| ~ sP3_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_553,c_21692]) ).
cnf(c_21839,plain,
( sk_c9 != sP9_iProver_def
| ~ sP3_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(superposition,[status(thm)],[c_550,c_21692]) ).
cnf(c_21842,plain,
( sk_c9 != sP9_iProver_def
| ~ sP3_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_543,c_21692]) ).
cnf(c_21845,plain,
( sk_c9 != sP9_iProver_def
| ~ sP3_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_536,c_21692]) ).
cnf(c_21849,plain,
( sk_c9 != sP14_iProver_def
| ~ sP3_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_531,c_21692]) ).
cnf(c_22076,plain,
multiply(sP13_iProver_def,sP4_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_21201,c_18249]) ).
cnf(c_22077,plain,
multiply(inverse(sP13_iProver_def),sk_c2) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_22076,c_17317]) ).
cnf(c_22167,plain,
( ~ sP2_iProver_def
| sP14_iProver_def != sP16_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_20303,c_3490,c_20306,c_20305]) ).
cnf(c_22168,plain,
( sP14_iProver_def != sP16_iProver_def
| ~ sP2_iProver_def ),
inference(renaming,[status(thm)],[c_22167]) ).
cnf(c_22220,plain,
multiply(inverse(sP13_iProver_def),multiply(sk_c2,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_22077,c_94]) ).
cnf(c_22222,plain,
multiply(sP5_iProver_def,sP4_iProver_def) = sk_c7,
inference(demodulation,[status(thm)],[c_21202,c_18249]) ).
cnf(c_22223,plain,
multiply(inverse(sP5_iProver_def),sk_c7) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_22222,c_17317]) ).
cnf(c_22236,plain,
multiply(inverse(sP5_iProver_def),multiply(sk_c7,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_22223,c_94]) ).
cnf(c_22291,plain,
( sP4_iProver_def != sP16_iProver_def
| ~ sP3_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_546,c_21836]) ).
cnf(c_23640,plain,
( inverse(X0) != X1
| X2 != X1
| X2 = inverse(X0) ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_23888,plain,
( inverse(inverse(sP12_iProver_def)) != sk_c8
| multiply(sk_c4,sk_c8) != sk_c9
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_17558,c_508]) ).
cnf(c_23893,plain,
( multiply(sk_c9,multiply(sk_c4,sk_c9)) != sk_c8
| inverse(inverse(sP12_iProver_def)) != sk_c9
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_17558,c_507]) ).
cnf(c_23895,plain,
multiply(sk_c4,identity) = inverse(sP12_iProver_def),
inference(superposition,[status(thm)],[c_17558,c_18249]) ).
cnf(c_23902,plain,
( inverse(inverse(sP12_iProver_def)) != sk_c8
| sk_c9 != sP11_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_23888,c_500]) ).
cnf(c_23973,plain,
inverse(sP12_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_23895,c_18249]) ).
cnf(c_25215,plain,
( X0 != sP14_iProver_def
| sP4_iProver_def != sP14_iProver_def
| X0 = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_7509]) ).
cnf(c_26136,plain,
( sP6_iProver_def = sP16_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_4480,c_4478]) ).
cnf(c_26644,plain,
( sP6_iProver_def = sP15_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_26136,c_5697]) ).
cnf(c_26910,plain,
multiply(sk_c5,sP9_iProver_def) = identity,
inference(superposition,[status(thm)],[c_17559,c_93]) ).
cnf(c_26913,plain,
multiply(sk_c5,multiply(sP9_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_17559,c_17317]) ).
cnf(c_26914,plain,
multiply(sk_c5,identity) = inverse(sP9_iProver_def),
inference(superposition,[status(thm)],[c_17559,c_18249]) ).
cnf(c_26929,plain,
( identity = sP10_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(demodulation,[status(thm)],[c_16332,c_26910]) ).
cnf(c_26931,plain,
( sk_c9 = sP16_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_1781,c_26910]) ).
cnf(c_26932,plain,
( sk_c9 = sP15_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_1390,c_26910]) ).
cnf(c_26933,plain,
( sk_c9 = sP6_iProver_def
| identity = sP10_iProver_def ),
inference(demodulation,[status(thm)],[c_949,c_26910]) ).
cnf(c_27078,plain,
( inverse(sP10_iProver_def) = sP10_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_26929,c_18276]) ).
cnf(c_27553,plain,
( identity = sP10_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_26932,c_26931]) ).
cnf(c_27722,plain,
inverse(sP9_iProver_def) = sk_c5,
inference(demodulation,[status(thm)],[c_26914,c_18249]) ).
cnf(c_27771,plain,
( identity = sP10_iProver_def
| sP6_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_26933,c_26932]) ).
cnf(c_28272,plain,
( inverse(sP10_iProver_def) = sP10_iProver_def
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_27553,c_18276]) ).
cnf(c_28287,plain,
( inverse(sP10_iProver_def) = sP10_iProver_def
| sP6_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_27771,c_18276]) ).
cnf(c_31793,plain,
multiply(sk_c1,sP16_iProver_def) = identity,
inference(superposition,[status(thm)],[c_17561,c_93]) ).
cnf(c_31796,plain,
multiply(sk_c1,multiply(sP16_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_17561,c_17317]) ).
cnf(c_31797,plain,
multiply(sk_c1,identity) = inverse(sP16_iProver_def),
inference(superposition,[status(thm)],[c_17561,c_18249]) ).
cnf(c_32250,plain,
inverse(sP16_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_31797,c_18249]) ).
cnf(c_32257,plain,
( sk_c9 = sP12_iProver_def
| sk_c1 = sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_2002,c_32250]) ).
cnf(c_32258,plain,
( sk_c9 = sP11_iProver_def
| sk_c1 = sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_1918,c_32250]) ).
cnf(c_32259,plain,
( sk_c9 = sP10_iProver_def
| sk_c1 = sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_1847,c_32250]) ).
cnf(c_32278,plain,
( inverse(sP6_iProver_def) = sk_c1
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_26136,c_32250]) ).
cnf(c_32279,plain,
( inverse(sP6_iProver_def) = sk_c1
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_19873,c_32250]) ).
cnf(c_32280,plain,
( inverse(sP6_iProver_def) = sk_c1
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_18788,c_32250]) ).
cnf(c_32281,plain,
( inverse(sP15_iProver_def) = sk_c1
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_5697,c_32250]) ).
cnf(c_32285,plain,
( inverse(sP15_iProver_def) = sk_c1
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_5134,c_32250]) ).
cnf(c_32333,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm)],[c_1027,c_31796]) ).
cnf(c_33625,plain,
( multiply(sP4_iProver_def,sP14_iProver_def) = sP15_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_32257,c_1185]) ).
cnf(c_33641,plain,
( sk_c9 = sP12_iProver_def
| sk_c3 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_33625,c_7183]) ).
cnf(c_33701,plain,
( multiply(sP4_iProver_def,sP14_iProver_def) = sP15_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_32258,c_1151]) ).
cnf(c_33716,plain,
( sk_c9 = sP11_iProver_def
| sk_c3 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_33701,c_7183]) ).
cnf(c_33772,plain,
( multiply(sP4_iProver_def,sP14_iProver_def) = sP15_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_32259,c_1120]) ).
cnf(c_33781,plain,
( multiply(sP4_iProver_def,sk_c8) = sP15_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_32259,c_504]) ).
cnf(c_33786,plain,
( sk_c9 = sP10_iProver_def
| sk_c3 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_33772,c_7183]) ).
cnf(c_33867,plain,
( multiply(sk_c9,sP15_iProver_def) = sP14_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_33641,c_503]) ).
cnf(c_33868,plain,
( sk_c9 = sP12_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_33641,c_525]) ).
cnf(c_34086,plain,
( inverse(sP12_iProver_def) = sP4_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_33868,c_493]) ).
cnf(c_34089,plain,
( sk_c4 = sP4_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_34086,c_23973]) ).
cnf(c_34659,plain,
( inverse(sk_c1) != sP5_iProver_def
| sP9_iProver_def != sP5_iProver_def
| sP9_iProver_def = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_10652]) ).
cnf(c_34889,plain,
( sk_c9 = sP11_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_33716,c_524]) ).
cnf(c_35043,plain,
( sk_c9 = sP10_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_33786,c_523]) ).
cnf(c_37145,plain,
( sk_c9 = sP12_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_553,c_506]) ).
cnf(c_37146,plain,
( sk_c9 = sP11_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_552,c_506]) ).
cnf(c_37429,plain,
( inverse(sk_c1) != sk_c9
| sk_c9 != sP15_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_504,c_511]) ).
cnf(c_37459,plain,
( sk_c9 != sP15_iProver_def
| sk_c9 != sP16_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_37429,c_505]) ).
cnf(c_38029,plain,
( sk_c9 = sP12_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_37145,c_506,c_2749,c_3649,c_3739,c_10541,c_11399,c_12349]) ).
cnf(c_38059,plain,
( sk_c9 = sP11_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_37146,c_506,c_2611,c_3649,c_3739,c_10493,c_11264,c_12254]) ).
cnf(c_38906,plain,
( sP11_iProver_def = sP12_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_34889,c_33868]) ).
cnf(c_39423,plain,
( sP10_iProver_def = sP11_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_35043,c_34889]) ).
cnf(c_39424,plain,
( sP10_iProver_def = sP12_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_35043,c_33868]) ).
cnf(c_39952,plain,
( sP6_iProver_def = sP13_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_38906,c_20192]) ).
cnf(c_40209,plain,
( sP4_iProver_def != sP14_iProver_def
| sP14_iProver_def != sP14_iProver_def
| sP14_iProver_def = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_25215]) ).
cnf(c_40515,plain,
( sP6_iProver_def = sP13_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_39423,c_19366]) ).
cnf(c_40915,plain,
( sP6_iProver_def = sP13_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_39424,c_26644]) ).
cnf(c_43529,plain,
multiply(sk_c2,sP6_iProver_def) = identity,
inference(superposition,[status(thm)],[c_17562,c_93]) ).
cnf(c_43533,plain,
multiply(sk_c2,identity) = inverse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_17562,c_18249]) ).
cnf(c_43566,plain,
( identity = sP13_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_4486,c_43529]) ).
cnf(c_43567,plain,
( identity = sP13_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_4320,c_43529]) ).
cnf(c_43568,plain,
( identity = sP13_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_3226,c_43529]) ).
cnf(c_43707,plain,
( X0 != X1
| sP16_iProver_def != X1
| sP16_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_44318,plain,
multiply(inverse(sP13_iProver_def),identity) = multiply(sP4_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_43529,c_22220]) ).
cnf(c_44434,plain,
( inverse(sP13_iProver_def) = sP13_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_43566,c_18276]) ).
cnf(c_44436,plain,
( multiply(sP13_iProver_def,X0) = X0
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_43566,c_92]) ).
cnf(c_44467,plain,
inverse(sP6_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_43533,c_18249]) ).
cnf(c_44471,plain,
( sk_c2 = sP4_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_4488,c_44467]) ).
cnf(c_44472,plain,
( sk_c2 = sP4_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(demodulation,[status(thm)],[c_4322,c_44467]) ).
cnf(c_44473,plain,
( sk_c2 = sP4_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(demodulation,[status(thm)],[c_3228,c_44467]) ).
cnf(c_44739,plain,
( inverse(sP13_iProver_def) = sP13_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_43567,c_18276]) ).
cnf(c_45167,plain,
( inverse(sP13_iProver_def) = sP13_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_43568,c_18276]) ).
cnf(c_45169,plain,
( multiply(sP13_iProver_def,X0) = X0
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_43568,c_92]) ).
cnf(c_45889,plain,
( inverse(sk_c1) != sP16_iProver_def
| X0 != sP16_iProver_def
| X0 = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_23640]) ).
cnf(c_47275,plain,
( multiply(sP10_iProver_def,sP10_iProver_def) = identity
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_27078,c_93]) ).
cnf(c_47443,plain,
( multiply(sP10_iProver_def,sP10_iProver_def) = identity
| sP15_iProver_def = sP16_iProver_def ),
inference(superposition,[status(thm)],[c_28272,c_93]) ).
cnf(c_48663,plain,
( inverse(sP4_iProver_def) != sk_c8
| sk_c9 != sP15_iProver_def
| ~ sP2_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_33781,c_508]) ).
cnf(c_48678,plain,
( sk_c9 != sk_c8
| sk_c9 != sP15_iProver_def
| ~ sP2_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_48663,c_21512]) ).
cnf(c_48889,plain,
( multiply(sP10_iProver_def,sP10_iProver_def) = identity
| sP6_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_28287,c_93]) ).
cnf(c_50496,plain,
( sk_c1 = sk_c2
| sP10_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_32278,c_44467]) ).
cnf(c_50517,plain,
( sk_c1 = sP4_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_50496,c_44471]) ).
cnf(c_53200,plain,
( sk_c1 = sk_c2
| sP11_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_32279,c_44467]) ).
cnf(c_53766,plain,
( sk_c1 = sk_c2
| sP10_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_32280,c_44467]) ).
cnf(c_53787,plain,
( sk_c1 = sP4_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_53766,c_44473]) ).
cnf(c_54449,plain,
( X0 != sP4_iProver_def
| sP14_iProver_def != sP4_iProver_def
| X0 = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_4431]) ).
cnf(c_54450,plain,
( sk_c9 != sP4_iProver_def
| sP14_iProver_def != sP4_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_54449]) ).
cnf(c_54740,plain,
( inverse(sP13_iProver_def) = sk_c1
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_39424,c_32281]) ).
cnf(c_55415,plain,
( multiply(sP15_iProver_def,inverse(sP15_iProver_def)) != sk_c8
| multiply(sk_c1,sk_c9) != sk_c8
| ~ sP1_iProver_def
| sP5_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_32285,c_509]) ).
cnf(c_55757,plain,
( sk_c8 != X0
| sP16_iProver_def != X0
| sP16_iProver_def = sk_c8 ),
inference(instantiation,[status(thm)],[c_43707]) ).
cnf(c_55771,plain,
( sk_c8 != sk_c8
| sP16_iProver_def != sk_c8
| sk_c8 = sP16_iProver_def ),
inference(instantiation,[status(thm)],[c_1070]) ).
cnf(c_55772,plain,
( sk_c8 != sk_c9
| sP16_iProver_def != sk_c9
| sP16_iProver_def = sk_c8 ),
inference(instantiation,[status(thm)],[c_55757]) ).
cnf(c_56140,plain,
multiply(sP4_iProver_def,sP6_iProver_def) = inverse(sP13_iProver_def),
inference(demodulation,[status(thm)],[c_44318,c_18249]) ).
cnf(c_56167,plain,
multiply(sk_c9,inverse(sP13_iProver_def)) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_56140,c_21116]) ).
cnf(c_56412,plain,
multiply(sP13_iProver_def,inverse(sP13_iProver_def)) = multiply(sk_c2,sP6_iProver_def),
inference(superposition,[status(thm)],[c_56167,c_2913]) ).
cnf(c_56416,plain,
multiply(sP13_iProver_def,inverse(sP13_iProver_def)) = identity,
inference(light_normalisation,[status(thm)],[c_56412,c_43529]) ).
cnf(c_57738,plain,
( inverse(sP6_iProver_def) = sP6_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_40915,c_44434]) ).
cnf(c_57752,plain,
( sk_c2 = sP6_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_57738,c_44467]) ).
cnf(c_57848,plain,
( sk_c1 = sP6_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_57752,c_50496]) ).
cnf(c_58403,plain,
( inverse(sP6_iProver_def) = sP16_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_57848,c_505]) ).
cnf(c_58404,plain,
( sk_c2 = sP16_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_58403,c_44467]) ).
cnf(c_59810,plain,
( sP4_iProver_def != sP9_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3288,c_506,c_1751,c_3288,c_3656,c_3747,c_38029,c_38059]) ).
cnf(c_59830,plain,
( sP4_iProver_def != sP5_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3290,c_506,c_1751,c_3290,c_3656,c_3747,c_38029,c_38059]) ).
cnf(c_60611,plain,
( sP4_iProver_def = sP16_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_58404,c_44471]) ).
cnf(c_61159,plain,
( inverse(sP4_iProver_def) = sk_c1
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_60611,c_32250]) ).
cnf(c_61213,plain,
( sP4_iProver_def = sP15_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_60611,c_5697]) ).
cnf(c_61227,plain,
( sk_c9 = sk_c1
| sP10_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_61159,c_21512]) ).
cnf(c_61655,plain,
( sP4_iProver_def = sP13_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_61213,c_39424]) ).
cnf(c_61820,plain,
( sk_c8 = sP9_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3300,c_506,c_550,c_1071,c_1111,c_3739,c_10921,c_11851]) ).
cnf(c_61840,plain,
( sk_c8 = sP5_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3302,c_506,c_547,c_1071,c_1109,c_3739,c_10579,c_11453]) ).
cnf(c_62311,plain,
( sk_c9 = sP4_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_61227,c_50517]) ).
cnf(c_62531,plain,
( multiply(sk_c9,inverse(sP4_iProver_def)) = sP6_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_61655,c_56167]) ).
cnf(c_62571,plain,
( multiply(sk_c9,sk_c9) = sP6_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_62531,c_21512]) ).
cnf(c_63177,plain,
( inverse(sP6_iProver_def) = sP6_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_39952,c_44739]) ).
cnf(c_63189,plain,
( sk_c2 = sP6_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_63177,c_44467]) ).
cnf(c_63229,plain,
( sk_c9 != sk_c8
| ~ sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_3459,c_543,c_1072,c_1071,c_1111,c_3490,c_20258,c_21153,c_48678,c_55772,c_55771]) ).
cnf(c_63268,plain,
( sk_c9 != sP4_iProver_def
| ~ sP2_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_553,c_63229]) ).
cnf(c_63355,plain,
( ~ sP2_iProver_def
| sk_c9 != sP4_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_63268,c_3661,c_21133,c_63229]) ).
cnf(c_63356,plain,
( sk_c9 != sP4_iProver_def
| ~ sP2_iProver_def ),
inference(renaming,[status(thm)],[c_63355]) ).
cnf(c_63361,plain,
( ~ sP2_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_62311,c_63356]) ).
cnf(c_64117,plain,
( sk_c1 = sP6_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_63189,c_53200]) ).
cnf(c_64336,plain,
( inverse(sP6_iProver_def) = sP16_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_64117,c_505]) ).
cnf(c_64337,plain,
( sk_c2 = sP16_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_64336,c_44467]) ).
cnf(c_65596,plain,
( sP4_iProver_def = sP16_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_64337,c_44472]) ).
cnf(c_66608,plain,
( inverse(sP4_iProver_def) = sk_c1
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_65596,c_32250]) ).
cnf(c_66621,plain,
( ~ sP3_iProver_def
| sk_c9 = sP12_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_65596,c_22291]) ).
cnf(c_66629,plain,
( ~ sP2_iProver_def
| sk_c9 = sP12_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_65596,c_20291]) ).
cnf(c_66663,plain,
( sP4_iProver_def = sP15_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_65596,c_5696]) ).
cnf(c_66676,plain,
( sk_c9 = sk_c1
| sP11_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_66608,c_21512]) ).
cnf(c_68661,plain,
( multiply(sk_c9,sP4_iProver_def) = sP14_iProver_def
| sk_c9 = sP12_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_66663,c_33867]) ).
cnf(c_68811,plain,
( sk_c9 = sP12_iProver_def
| identity = sP14_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_68661,c_21113]) ).
cnf(c_69055,plain,
( multiply(sk_c9,sk_c8) = sP15_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_66676,c_504]) ).
cnf(c_69972,plain,
( sk_c8 != X0
| identity != X0
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_1069]) ).
cnf(c_69978,plain,
( sk_c8 != sk_c9
| identity != sk_c9
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_69972]) ).
cnf(c_70479,plain,
( inverse(sP6_iProver_def) = sP6_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_40515,c_45167]) ).
cnf(c_70492,plain,
( sk_c2 = sP6_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_70479,c_44467]) ).
cnf(c_70552,plain,
( sk_c1 = sP6_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_70492,c_53766]) ).
cnf(c_70772,plain,
( inverse(sP6_iProver_def) = sP16_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_70552,c_505]) ).
cnf(c_70773,plain,
( sk_c2 = sP16_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_70772,c_44467]) ).
cnf(c_71791,plain,
( sP4_iProver_def = sP16_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_70773,c_44473]) ).
cnf(c_72281,plain,
( inverse(sP4_iProver_def) = sk_c1
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_71791,c_32250]) ).
cnf(c_72295,plain,
( sP4_iProver_def != sP14_iProver_def
| ~ sP2_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_71791,c_22168]) ).
cnf(c_72337,plain,
( sP4_iProver_def = sP15_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_71791,c_5449]) ).
cnf(c_72349,plain,
( sk_c9 = sk_c1
| sP10_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_72281,c_21512]) ).
cnf(c_73026,plain,
( sP4_iProver_def = sP13_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_72337,c_39423]) ).
cnf(c_74075,plain,
( sk_c9 = sP4_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_72349,c_53787]) ).
cnf(c_74378,plain,
( multiply(sP4_iProver_def,X0) = X0
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_73026,c_45169]) ).
cnf(c_74491,plain,
( multiply(sP4_iProver_def,sk_c9) = sk_c9
| sP10_iProver_def = sP11_iProver_def ),
inference(instantiation,[status(thm)],[c_74378]) ).
cnf(c_75747,plain,
( multiply(sP15_iProver_def,sk_c8) = sP15_iProver_def
| sk_c9 = sP12_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_539,c_69055]) ).
cnf(c_77468,plain,
multiply(inverse(sP5_iProver_def),sP5_iProver_def) = multiply(sP4_iProver_def,sk_c9),
inference(superposition,[status(thm)],[c_494,c_22236]) ).
cnf(c_77501,plain,
multiply(inverse(sP5_iProver_def),multiply(sP5_iProver_def,sk_c3)) = multiply(sP4_iProver_def,sP14_iProver_def),
inference(superposition,[status(thm)],[c_13787,c_22236]) ).
cnf(c_77518,plain,
multiply(inverse(sP5_iProver_def),sP5_iProver_def) = identity,
inference(light_normalisation,[status(thm)],[c_77468,c_1023]) ).
cnf(c_77519,plain,
multiply(inverse(sP5_iProver_def),multiply(sP5_iProver_def,sk_c3)) = sk_c3,
inference(light_normalisation,[status(thm)],[c_77501,c_7183]) ).
cnf(c_78160,plain,
( X0 != sP14_iProver_def
| identity != sP14_iProver_def
| identity = X0 ),
inference(instantiation,[status(thm)],[c_3877]) ).
cnf(c_78163,plain,
( sk_c9 != sP14_iProver_def
| identity != sP14_iProver_def
| identity = sk_c9 ),
inference(instantiation,[status(thm)],[c_78160]) ).
cnf(c_78293,plain,
( multiply(identity,sP9_iProver_def) != sP4_iProver_def
| X0 != sP4_iProver_def
| X0 = multiply(identity,sP9_iProver_def) ),
inference(instantiation,[status(thm)],[c_2572]) ).
cnf(c_78294,plain,
( multiply(identity,sP9_iProver_def) != sP4_iProver_def
| sk_c9 != sP4_iProver_def
| sk_c9 = multiply(identity,sP9_iProver_def) ),
inference(instantiation,[status(thm)],[c_78293]) ).
cnf(c_78330,plain,
( multiply(sk_c1,sP13_iProver_def) = identity
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_54740,c_93]) ).
cnf(c_78337,plain,
( sk_c1 = sP13_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_54740,c_44434]) ).
cnf(c_78405,plain,
( sk_c9 != sP16_iProver_def
| ~ sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_37459,c_3747,c_3739,c_11264,c_11399]) ).
cnf(c_78407,plain,
~ sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_78405,c_3747,c_12254,c_12349,c_78405]) ).
cnf(c_78409,plain,
( sk_c8 != sP4_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_506,c_78407]) ).
cnf(c_78575,plain,
( sk_c9 = sP13_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_78337,c_61227]) ).
cnf(c_78630,plain,
( multiply(sP13_iProver_def,sk_c8) = sP15_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_78337,c_504]) ).
cnf(c_79030,plain,
( multiply(sP13_iProver_def,sP4_iProver_def) = identity
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_78575,c_21113]) ).
cnf(c_79086,plain,
( inverse(sP13_iProver_def) = sP4_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_78575,c_493]) ).
cnf(c_79100,plain,
( sk_c2 = identity
| sP10_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_79030,c_22076]) ).
cnf(c_79812,plain,
( multiply(sP13_iProver_def,inverse(sP13_iProver_def)) != sk_c8
| multiply(sP4_iProver_def,sk_c9) != sk_c8
| ~ sP1_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_79086,c_509]) ).
cnf(c_79850,plain,
( sk_c8 != identity
| ~ sP1_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_79812,c_1023,c_56416]) ).
cnf(c_79986,plain,
( multiply(sP6_iProver_def,sP13_iProver_def) = identity
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_57848,c_78330]) ).
cnf(c_80009,plain,
( sk_c9 = identity
| sP10_iProver_def = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_79986,c_6921]) ).
cnf(c_80136,plain,
( sk_c8 = sP15_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_78630,c_44436]) ).
cnf(c_80338,plain,
( identity = sP16_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_79100,c_58404]) ).
cnf(c_80355,plain,
( identity = sP4_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_79100,c_44471]) ).
cnf(c_81556,plain,
( sk_c9 != sP15_iProver_def
| ~ sP3_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_80136,c_21692]) ).
cnf(c_81594,plain,
( sk_c8 = sP4_iProver_def
| sP9_iProver_def = sP15_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_80136,c_550]) ).
cnf(c_81596,plain,
( sk_c8 = sP4_iProver_def
| sP5_iProver_def = sP15_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_80136,c_547]) ).
cnf(c_81597,plain,
( sk_c9 = sP16_iProver_def
| sP9_iProver_def = sP15_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_80136,c_543]) ).
cnf(c_81600,plain,
( sk_c9 = sP15_iProver_def
| sP9_iProver_def = sP15_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_80136,c_536]) ).
cnf(c_81602,plain,
( sk_c9 = sP15_iProver_def
| sP5_iProver_def = sP15_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_80136,c_533]) ).
cnf(c_82125,plain,
( sP9_iProver_def = sP15_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_81594,c_1969,c_3660,c_8920,c_62311,c_63361,c_69978,c_78409,c_79850,c_80009,c_81556,c_81600,c_81594]) ).
cnf(c_82156,plain,
( sP4_iProver_def = sP9_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_82125,c_61213]) ).
cnf(c_82528,plain,
( inverse(sk_c1) != sP16_iProver_def
| identity != sP16_iProver_def
| identity = inverse(sk_c1) ),
inference(instantiation,[status(thm)],[c_45889]) ).
cnf(c_84231,plain,
( multiply(inverse(X0),sk_c9) != X1
| X2 != X1
| multiply(inverse(X0),sk_c9) = X2 ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_84233,plain,
( inverse(X0) != X1
| sk_c9 != X2
| multiply(inverse(X0),sk_c9) = multiply(X1,X2) ),
inference(instantiation,[status(thm)],[c_557]) ).
cnf(c_84236,plain,
( sk_c8 != X0
| identity != X0
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_84239,plain,
( multiply(inverse(X0),sk_c9) != X1
| sk_c8 != X1
| sk_c8 = multiply(inverse(X0),sk_c9) ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_84243,plain,
( multiply(inverse(sk_c9),sk_c9) != identity
| X0 != identity
| multiply(inverse(sk_c9),sk_c9) = X0 ),
inference(instantiation,[status(thm)],[c_84231]) ).
cnf(c_84254,plain,
( inverse(X0) != X1
| X2 != X1
| inverse(X0) = X2 ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_84256,plain,
( inverse(sk_c9) != sP4_iProver_def
| sk_c9 != X0
| multiply(inverse(sk_c9),sk_c9) = multiply(sP4_iProver_def,X0) ),
inference(instantiation,[status(thm)],[c_84233]) ).
cnf(c_84257,plain,
( inverse(sk_c9) != sP4_iProver_def
| sk_c9 != sk_c9
| multiply(inverse(sk_c9),sk_c9) = multiply(sP4_iProver_def,sk_c9) ),
inference(instantiation,[status(thm)],[c_84256]) ).
cnf(c_84268,plain,
( multiply(X0,X1) != X2
| sk_c8 != X2
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_84306,plain,
( multiply(inverse(X0),sk_c9) != X1
| X2 != X1
| X2 = multiply(inverse(X0),sk_c9) ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_84325,plain,
( inverse(sk_c1) != sP16_iProver_def
| X0 != sP16_iProver_def
| inverse(sk_c1) = X0 ),
inference(instantiation,[status(thm)],[c_84254]) ).
cnf(c_84343,plain,
( multiply(sP4_iProver_def,X0) != X1
| X2 != X1
| X2 = multiply(sP4_iProver_def,X0) ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_84344,plain,
( multiply(sP4_iProver_def,sk_c9) != sk_c9
| sk_c9 != sk_c9
| sk_c9 = multiply(sP4_iProver_def,sk_c9) ),
inference(instantiation,[status(thm)],[c_84343]) ).
cnf(c_84470,plain,
( X0 != X1
| sP4_iProver_def != X1
| X0 = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_84520,plain,
( X0 != X1
| sP9_iProver_def != X1
| X0 = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_84568,plain,
( inverse(sk_c1) != X0
| X1 != X0
| inverse(sk_c1) = X1 ),
inference(instantiation,[status(thm)],[c_84254]) ).
cnf(c_84621,plain,
( X0 != X1
| identity != X1
| identity = X0 ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_84627,plain,
( multiply(inverse(sk_c9),sk_c9) != identity
| X0 != identity
| X0 = multiply(inverse(sk_c9),sk_c9) ),
inference(instantiation,[status(thm)],[c_84306]) ).
cnf(c_84636,plain,
( multiply(inverse(sk_c9),sk_c9) != multiply(sP4_iProver_def,X0)
| X1 != multiply(sP4_iProver_def,X0)
| X1 = multiply(inverse(sk_c9),sk_c9) ),
inference(instantiation,[status(thm)],[c_84306]) ).
cnf(c_84637,plain,
( multiply(inverse(sk_c9),sk_c9) != multiply(sP4_iProver_def,sk_c9)
| sk_c9 != multiply(sP4_iProver_def,sk_c9)
| sk_c9 = multiply(inverse(sk_c9),sk_c9) ),
inference(instantiation,[status(thm)],[c_84636]) ).
cnf(c_84709,plain,
( multiply(inverse(sk_c9),sk_c9) != identity
| identity != identity
| identity = multiply(inverse(sk_c9),sk_c9) ),
inference(instantiation,[status(thm)],[c_84627]) ).
cnf(c_86626,plain,
( inverse(sk_c1) != sP16_iProver_def
| sP6_iProver_def != sP16_iProver_def
| inverse(sk_c1) = sP6_iProver_def ),
inference(instantiation,[status(thm)],[c_84325]) ).
cnf(c_86776,plain,
( multiply(X0,X1) != X2
| X3 != X2
| X3 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_87097,plain,
( X0 != multiply(inverse(sk_c9),sk_c9)
| identity != multiply(inverse(sk_c9),sk_c9)
| identity = X0 ),
inference(instantiation,[status(thm)],[c_84621]) ).
cnf(c_87100,plain,
( sk_c9 != multiply(inverse(sk_c9),sk_c9)
| identity != multiply(inverse(sk_c9),sk_c9)
| identity = sk_c9 ),
inference(instantiation,[status(thm)],[c_87097]) ).
cnf(c_87455,plain,
( inverse(sk_c1) != X0
| sP5_iProver_def != X0
| inverse(sk_c1) = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_84568]) ).
cnf(c_89935,plain,
( sk_c8 != multiply(inverse(sk_c9),sk_c9)
| identity != multiply(inverse(sk_c9),sk_c9)
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_84236]) ).
cnf(c_89945,plain,
( multiply(inverse(X0),sk_c9) != multiply(X1,X2)
| sk_c8 != multiply(X1,X2)
| sk_c8 = multiply(inverse(X0),sk_c9) ),
inference(instantiation,[status(thm)],[c_84239]) ).
cnf(c_90118,plain,
( multiply(X0,X1) != X2
| X3 != X2
| multiply(X0,X1) = X3 ),
inference(instantiation,[status(thm)],[c_555]) ).
cnf(c_90119,plain,
( multiply(X0,X1) != multiply(X2,X3)
| sk_c8 != multiply(X2,X3)
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_84268]) ).
cnf(c_90126,plain,
( multiply(sk_c1,sk_c8) != sP15_iProver_def
| sk_c8 != sP15_iProver_def
| sk_c8 = multiply(sk_c1,sk_c8) ),
inference(instantiation,[status(thm)],[c_84268]) ).
cnf(c_91081,plain,
( identity != X0
| sP4_iProver_def != X0
| identity = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_84470]) ).
cnf(c_91083,plain,
( sk_c8 != sP4_iProver_def
| identity != sP4_iProver_def
| sk_c8 = identity ),
inference(instantiation,[status(thm)],[c_84236]) ).
cnf(c_91087,plain,
( identity != sk_c9
| sP4_iProver_def != sk_c9
| identity = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_91081]) ).
cnf(c_91382,plain,
( identity != X0
| sP9_iProver_def != X0
| identity = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_84520]) ).
cnf(c_93100,plain,
( multiply(identity,X0) != X0
| X1 != X0
| multiply(identity,X0) = X1 ),
inference(instantiation,[status(thm)],[c_90118]) ).
cnf(c_93108,plain,
( multiply(X0,X1) != multiply(X2,X3)
| X4 != multiply(X2,X3)
| multiply(X0,X1) = X4 ),
inference(instantiation,[status(thm)],[c_90118]) ).
cnf(c_93122,plain,
( multiply(sk_c1,sk_c8) != sP15_iProver_def
| X0 != sP15_iProver_def
| multiply(sk_c1,sk_c8) = X0 ),
inference(instantiation,[status(thm)],[c_90118]) ).
cnf(c_93125,plain,
( multiply(X0,X1) != sP9_iProver_def
| X2 != sP9_iProver_def
| multiply(X0,X1) = X2 ),
inference(instantiation,[status(thm)],[c_90118]) ).
cnf(c_95027,plain,
( sP5_iProver_def = sP15_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_81596,c_506,c_1751,c_3288,c_3656,c_3747,c_38029,c_38059,c_63361,c_79850,c_80355,c_81556,c_81602,c_81596,c_82156,c_91083]) ).
cnf(c_95049,plain,
( sP5_iProver_def = sP9_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_95027,c_82125]) ).
cnf(c_95097,plain,
( sP5_iProver_def = sP6_iProver_def
| sP10_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_95027,c_26644]) ).
cnf(c_100122,plain,
( inverse(sk_c1) != sP6_iProver_def
| sP5_iProver_def != sP6_iProver_def
| inverse(sk_c1) = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_87455]) ).
cnf(c_100146,plain,
( multiply(X0,X1) != sP6_iProver_def
| X2 != sP6_iProver_def
| X2 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_86776]) ).
cnf(c_100157,plain,
( multiply(sk_c9,sk_c9) != sP6_iProver_def
| sk_c9 != sP6_iProver_def
| sk_c9 = multiply(sk_c9,sk_c9) ),
inference(instantiation,[status(thm)],[c_100146]) ).
cnf(c_102856,plain,
( multiply(identity,sP9_iProver_def) != sP9_iProver_def
| X0 != sP9_iProver_def
| multiply(identity,sP9_iProver_def) = X0 ),
inference(instantiation,[status(thm)],[c_93125]) ).
cnf(c_103109,plain,
( multiply(inverse(X0),sk_c9) != multiply(sk_c1,sk_c8)
| sk_c8 != multiply(sk_c1,sk_c8)
| sk_c8 = multiply(inverse(X0),sk_c9) ),
inference(instantiation,[status(thm)],[c_89945]) ).
cnf(c_103112,plain,
( multiply(inverse(sk_c9),sk_c9) != multiply(sk_c1,sk_c8)
| sk_c8 != multiply(sk_c1,sk_c8)
| sk_c8 = multiply(inverse(sk_c9),sk_c9) ),
inference(instantiation,[status(thm)],[c_103109]) ).
cnf(c_103115,plain,
( multiply(X0,X1) != multiply(sk_c1,sk_c8)
| sk_c8 != multiply(sk_c1,sk_c8)
| sk_c8 = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_90119]) ).
cnf(c_103720,plain,
( multiply(identity,X0) != X0
| sk_c8 != X0
| multiply(identity,X0) = sk_c8 ),
inference(instantiation,[status(thm)],[c_93100]) ).
cnf(c_103723,plain,
( multiply(identity,sk_c9) != sk_c9
| sk_c8 != sk_c9
| multiply(identity,sk_c9) = sk_c8 ),
inference(instantiation,[status(thm)],[c_103720]) ).
cnf(c_105267,plain,
( multiply(inverse(sk_c9),sk_c9) != identity
| multiply(sk_c1,sk_c8) != identity
| multiply(inverse(sk_c9),sk_c9) = multiply(sk_c1,sk_c8) ),
inference(instantiation,[status(thm)],[c_84243]) ).
cnf(c_105363,plain,
( multiply(sk_c1,sk_c8) != sP15_iProver_def
| sP9_iProver_def != sP15_iProver_def
| multiply(sk_c1,sk_c8) = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_93122]) ).
cnf(c_105364,plain,
( multiply(sk_c1,sk_c8) != sP9_iProver_def
| X0 != sP9_iProver_def
| multiply(sk_c1,sk_c8) = X0 ),
inference(instantiation,[status(thm)],[c_93125]) ).
cnf(c_105367,plain,
( multiply(sk_c1,sk_c8) != sP9_iProver_def
| sk_c9 != sP9_iProver_def
| multiply(sk_c1,sk_c8) = sk_c9 ),
inference(instantiation,[status(thm)],[c_105364]) ).
cnf(c_106095,plain,
( multiply(X0,X1) != sk_c8
| multiply(identity,sk_c8) != sk_c8
| multiply(identity,sk_c8) = multiply(X0,X1) ),
inference(instantiation,[status(thm)],[c_93100]) ).
cnf(c_106096,plain,
( multiply(sk_c9,sk_c9) != sk_c8
| multiply(identity,sk_c8) != sk_c8
| multiply(identity,sk_c8) = multiply(sk_c9,sk_c9) ),
inference(instantiation,[status(thm)],[c_106095]) ).
cnf(c_106355,plain,
( multiply(X0,X1) != multiply(identity,X2)
| sk_c8 != multiply(identity,X2)
| multiply(X0,X1) = sk_c8 ),
inference(instantiation,[status(thm)],[c_93108]) ).
cnf(c_106356,plain,
( multiply(sk_c9,sk_c9) != multiply(identity,sk_c9)
| sk_c8 != multiply(identity,sk_c9)
| multiply(sk_c9,sk_c9) = sk_c8 ),
inference(instantiation,[status(thm)],[c_106355]) ).
cnf(c_107611,plain,
( X0 != identity
| X1 != X2
| multiply(X0,X1) = multiply(identity,X2) ),
inference(instantiation,[status(thm)],[c_557]) ).
cnf(c_107612,plain,
( sk_c9 != sk_c9
| sk_c9 != identity
| multiply(sk_c9,sk_c9) = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_107611]) ).
cnf(c_109120,plain,
( identity != inverse(sk_c1)
| sP9_iProver_def != inverse(sk_c1)
| identity = sP9_iProver_def ),
inference(instantiation,[status(thm)],[c_91382]) ).
cnf(c_109359,plain,
( multiply(identity,X0) != multiply(sk_c1,sk_c8)
| sk_c8 != multiply(sk_c1,sk_c8)
| sk_c8 = multiply(identity,X0) ),
inference(instantiation,[status(thm)],[c_103115]) ).
cnf(c_109360,plain,
( multiply(identity,X0) != X0
| multiply(sk_c1,sk_c8) != X0
| multiply(identity,X0) = multiply(sk_c1,sk_c8) ),
inference(instantiation,[status(thm)],[c_93100]) ).
cnf(c_109361,plain,
( multiply(identity,sk_c9) != multiply(sk_c1,sk_c8)
| sk_c8 != multiply(sk_c1,sk_c8)
| sk_c8 = multiply(identity,sk_c9) ),
inference(instantiation,[status(thm)],[c_109359]) ).
cnf(c_109362,plain,
( multiply(sk_c1,sk_c8) != sk_c9
| multiply(identity,sk_c9) != sk_c9
| multiply(identity,sk_c9) = multiply(sk_c1,sk_c8) ),
inference(instantiation,[status(thm)],[c_109360]) ).
cnf(c_109788,plain,
( multiply(identity,sP9_iProver_def) != sP9_iProver_def
| sP4_iProver_def != sP9_iProver_def
| multiply(identity,sP9_iProver_def) = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_102856]) ).
cnf(c_110400,plain,
( multiply(sk_c1,sk_c8) != sP9_iProver_def
| identity != sP9_iProver_def
| multiply(sk_c1,sk_c8) = identity ),
inference(instantiation,[status(thm)],[c_105364]) ).
cnf(c_110452,plain,
( multiply(identity,identity) != identity
| sk_c8 != identity
| multiply(identity,identity) = sk_c8 ),
inference(instantiation,[status(thm)],[c_103720]) ).
cnf(c_115098,plain,
sP10_iProver_def = sP12_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_81597,c_96,c_97,c_560,c_504,c_505,c_862,c_1071,c_1104,c_1105,c_1220,c_1361,c_1432,c_1895,c_1969,c_6859,c_9399,c_20141,c_21692,c_26136,c_34659,c_59810,c_62311,c_62571,c_63361,c_78294,c_79850,c_80009,c_80136,c_80338,c_82125,c_82156,c_82528,c_84709,c_86626,c_89935,c_90126,c_95097,c_95049,c_100122,c_100157,c_103112,c_105267,c_105363,c_105367,c_106096,c_106356,c_107612,c_109120,c_109361,c_109362,c_109788,c_110400]) ).
cnf(c_115255,plain,
multiply(sP10_iProver_def,sP11_iProver_def) = sk_c8,
inference(demodulation,[status(thm)],[c_7151,c_115098]) ).
cnf(c_115256,plain,
multiply(sP10_iProver_def,multiply(sk_c4,X0)) = X0,
inference(demodulation,[status(thm)],[c_2928,c_115098]) ).
cnf(c_115267,plain,
multiply(sP10_iProver_def,sk_c4) = identity,
inference(demodulation,[status(thm)],[c_1024,c_115098]) ).
cnf(c_115269,plain,
inverse(sk_c4) = sP10_iProver_def,
inference(demodulation,[status(thm)],[c_501,c_115098]) ).
cnf(c_115459,plain,
multiply(sk_c8,multiply(sk_c4,X0)) = multiply(sP9_iProver_def,X0),
inference(superposition,[status(thm)],[c_115256,c_6972]) ).
cnf(c_115527,plain,
( sk_c9 = sP12_iProver_def
| sP11_iProver_def = sP12_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_75747,c_96,c_1964,c_3653,c_8692,c_10541,c_18297,c_38029,c_66629,c_66621,c_68811,c_69978,c_78163,c_103723,c_110452]) ).
cnf(c_115529,plain,
( sk_c9 = sP10_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_115527,c_115098]) ).
cnf(c_115652,plain,
( sk_c9 = sP11_iProver_def
| sP10_iProver_def = sP11_iProver_def
| sP10_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_115529,c_538]) ).
cnf(c_115816,plain,
( sP10_iProver_def = sP11_iProver_def
| sk_c9 = sP11_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_115652,c_96,c_97,c_560,c_493,c_1751,c_1964,c_1969,c_2869,c_3653,c_4430,c_6537,c_10493,c_12892,c_18297,c_21849,c_38059,c_40209,c_54450,c_72295,c_74075,c_74491,c_84257,c_84344,c_84637,c_84709,c_87100,c_91087,c_91083,c_103723,c_110452]) ).
cnf(c_115817,plain,
( sk_c9 = sP11_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(renaming,[status(thm)],[c_115816]) ).
cnf(c_115854,plain,
sP10_iProver_def = sP11_iProver_def,
inference(superposition,[status(thm)],[c_115817,c_115529]) ).
cnf(c_115948,plain,
multiply(sP10_iProver_def,sP10_iProver_def) = sk_c8,
inference(demodulation,[status(thm)],[c_115255,c_115854]) ).
cnf(c_116059,plain,
multiply(sk_c4,sk_c8) = sP10_iProver_def,
inference(demodulation,[status(thm)],[c_500,c_115854]) ).
cnf(c_116156,plain,
multiply(sP10_iProver_def,multiply(sP10_iProver_def,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_115948,c_94]) ).
cnf(c_116225,plain,
( inverse(sk_c4) != sk_c9
| sk_c9 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_116059,c_511]) ).
cnf(c_116235,plain,
( sk_c9 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_116225,c_115269]) ).
cnf(c_116247,plain,
~ sP0_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_116235,c_3747,c_12254,c_12349,c_78405]) ).
cnf(c_116249,plain,
( sk_c9 = sP10_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_3287,c_116247]) ).
cnf(c_116484,plain,
multiply(sk_c8,identity) = multiply(sP10_iProver_def,sP10_iProver_def),
inference(superposition,[status(thm)],[c_18249,c_116156]) ).
cnf(c_116489,plain,
multiply(sk_c8,multiply(sk_c4,X0)) = multiply(sP10_iProver_def,X0),
inference(superposition,[status(thm)],[c_115256,c_116156]) ).
cnf(c_116505,plain,
multiply(sP9_iProver_def,X0) = multiply(sP10_iProver_def,X0),
inference(light_normalisation,[status(thm)],[c_116489,c_115459]) ).
cnf(c_116551,plain,
multiply(sP9_iProver_def,sk_c4) = identity,
inference(demodulation,[status(thm)],[c_115267,c_116505]) ).
cnf(c_116733,plain,
multiply(sk_c5,identity) = sk_c4,
inference(superposition,[status(thm)],[c_116551,c_26913]) ).
cnf(c_116742,plain,
sk_c4 = sk_c5,
inference(demodulation,[status(thm)],[c_116733,c_18249]) ).
cnf(c_116747,plain,
inverse(sP9_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_27722,c_116742]) ).
cnf(c_116748,plain,
multiply(sk_c4,sP9_iProver_def) = identity,
inference(demodulation,[status(thm)],[c_26910,c_116742]) ).
cnf(c_116770,plain,
inverse(sk_c4) = sP9_iProver_def,
inference(demodulation,[status(thm)],[c_498,c_116742]) ).
cnf(c_116771,plain,
sP9_iProver_def = sP10_iProver_def,
inference(demodulation,[status(thm)],[c_115269,c_116770]) ).
cnf(c_116774,plain,
( sk_c9 = sP9_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_116249,c_116771]) ).
cnf(c_116775,plain,
multiply(sk_c4,sk_c8) = sP9_iProver_def,
inference(demodulation,[status(thm)],[c_116059,c_116771]) ).
cnf(c_116776,plain,
sP9_iProver_def = sP11_iProver_def,
inference(demodulation,[status(thm)],[c_115854,c_116771]) ).
cnf(c_116779,plain,
sP9_iProver_def = sP12_iProver_def,
inference(demodulation,[status(thm)],[c_115098,c_116771]) ).
cnf(c_116802,plain,
( sk_c9 = sP9_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(demodulation,[status(thm)],[c_35043,c_116771]) ).
cnf(c_116872,plain,
( sk_c9 = sP9_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_551,c_116771]) ).
cnf(c_116873,plain,
( sk_c9 = sP9_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(demodulation,[status(thm)],[c_544,c_116771]) ).
cnf(c_116874,plain,
( sk_c9 = sP9_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(demodulation,[status(thm)],[c_537,c_116771]) ).
cnf(c_117071,plain,
( ~ sP3_iProver_def
| sk_c8 = sP4_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_21839,c_116872]) ).
cnf(c_117207,plain,
( ~ sP3_iProver_def
| sk_c9 = sP16_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_21842,c_116873]) ).
cnf(c_117307,plain,
( ~ sP3_iProver_def
| sk_c9 = sP15_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_21845,c_116874]) ).
cnf(c_117804,plain,
( multiply(sk_c9,sk_c9) != sk_c8
| sk_c9 != identity
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3975,c_18276]) ).
cnf(c_117997,plain,
( multiply(identity,identity) != sk_c8
| sk_c9 != sk_c8
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_18227,c_18276]) ).
cnf(c_117998,plain,
( sk_c9 != sk_c8
| sk_c8 != identity
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_117997,c_92]) ).
cnf(c_118191,plain,
( multiply(sP4_iProver_def,sk_c8) = sP9_iProver_def
| sP13_iProver_def = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_34089,c_116775]) ).
cnf(c_118232,plain,
( multiply(sk_c4,sP14_iProver_def) = sP9_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_529,c_116775]) ).
cnf(c_118240,plain,
multiply(sk_c4,multiply(sk_c8,X0)) = multiply(sP9_iProver_def,X0),
inference(superposition,[status(thm)],[c_116775,c_94]) ).
cnf(c_118617,plain,
multiply(sk_c4,sk_c8) = multiply(sP9_iProver_def,identity),
inference(superposition,[status(thm)],[c_18249,c_118240]) ).
cnf(c_119186,plain,
multiply(inverse(multiply(X0,sk_c1)),multiply(X0,sP15_iProver_def)) = sk_c8,
inference(superposition,[status(thm)],[c_504,c_17360]) ).
cnf(c_119187,plain,
multiply(inverse(multiply(X0,sk_c9)),multiply(X0,sP14_iProver_def)) = sk_c3,
inference(superposition,[status(thm)],[c_503,c_17360]) ).
cnf(c_119211,plain,
( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,sP14_iProver_def)) = sP13_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_990,c_17360]) ).
cnf(c_119214,plain,
( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,sP14_iProver_def)) = sP13_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_987,c_17360]) ).
cnf(c_119216,plain,
( multiply(inverse(multiply(X0,sk_c1)),multiply(X0,sP15_iProver_def)) = sP14_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1081,c_17360]) ).
cnf(c_123992,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_119216,c_119214,c_119211,c_119187,c_119186,c_118617,c_118232,c_118191,c_117998,c_117997,c_117804,c_117307,c_117207,c_117071,c_116872,c_116802,c_116779,c_116776,c_116775,c_116774,c_116770,c_116748,c_116747,c_116484,c_115948,c_77519,c_77518,c_77501,c_77468,c_63229,c_61840,c_61820,c_59830,c_56416,c_56412,c_55415,c_48889,c_47443,c_47275,c_32333,c_32250,c_31793,c_23973,c_23902,c_23893,c_21811,c_21692,c_21512,c_21110,c_21117,c_21113,c_18288,c_18282,c_18270,c_18267,c_18264,c_18258,c_18276,c_18228,c_17420,c_17351,c_16113,c_12828,c_11851,c_10921,c_4143,c_18295,c_1011,c_987,c_522,c_518,c_515,c_512,c_505,c_493]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP239-1 : TPTP v8.2.0. Released v2.5.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Jun 20 13:14:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 31.22/5.23 % SZS status Started for theBenchmark.p
% 31.22/5.23 % SZS status Unsatisfiable for theBenchmark.p
% 31.22/5.23
% 31.22/5.23 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 31.22/5.23
% 31.22/5.23 ------ iProver source info
% 31.22/5.23
% 31.22/5.23 git: date: 2024-06-12 09:56:46 +0000
% 31.22/5.23 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 31.22/5.23 git: non_committed_changes: false
% 31.22/5.23
% 31.22/5.23 ------ Parsing...successful
% 31.22/5.23
% 31.22/5.23
% 31.22/5.23
% 31.22/5.23 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 31.22/5.23
% 31.22/5.23 ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e
% 31.22/5.23
% 31.22/5.23 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 31.22/5.23 ------ Proving...
% 31.22/5.23 ------ Problem Properties
% 31.22/5.23
% 31.22/5.23
% 31.22/5.23 clauses 63
% 31.22/5.23 conjectures 47
% 31.22/5.23 EPR 43
% 31.22/5.23 Horn 20
% 31.22/5.23 unary 16
% 31.22/5.23 binary 42
% 31.22/5.23 lits 117
% 31.22/5.23 lits eq 109
% 31.22/5.23 fd_pure 0
% 31.22/5.23 fd_pseudo 0
% 31.22/5.23 fd_cond 0
% 31.22/5.23 fd_pseudo_cond 0
% 31.22/5.23 AC symbols 0
% 31.22/5.23
% 31.22/5.23 ------ Schedule dynamic 5 is on
% 31.22/5.23
% 31.22/5.23 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 31.22/5.23
% 31.22/5.23
% 31.22/5.23 ------
% 31.22/5.23 Current options:
% 31.22/5.23 ------
% 31.22/5.23
% 31.22/5.23
% 31.22/5.23
% 31.22/5.23
% 31.22/5.23 ------ Proving...
% 31.22/5.23
% 31.22/5.23
% 31.22/5.23 % SZS status Unsatisfiable for theBenchmark.p
% 31.22/5.23
% 31.22/5.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 31.22/5.23
% 31.22/5.23
%------------------------------------------------------------------------------