TSTP Solution File: GRP257-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP257-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 06:59:00 EDT 2024
% Result : Unsatisfiable 7.80s 1.67s
% Output : CNFRefutation 7.80s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c9
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c4) = sk_c10 ),
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_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c9
| inverse(sk_c1) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c2,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c8
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_73,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_80,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
cnf(c_81,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c9
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
cnf(c_82,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
cnf(c_83,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
cnf(c_84,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
cnf(c_85,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
cnf(c_86,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
cnf(c_87,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
cnf(c_88,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
cnf(c_89,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
cnf(c_90,negated_conjecture,
( multiply(sk_c3,sk_c9) = sk_c8
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
cnf(c_91,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| multiply(X1,sk_c9) != sk_c8
| multiply(X2,sk_c9) != sk_c8
| multiply(X3,sk_c10) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| multiply(X5,sk_c8) != X6
| multiply(sk_c8,X6) != sk_c9
| inverse(X0) != sk_c10
| inverse(X1) != sk_c9
| inverse(X2) != sk_c8
| inverse(X3) != sk_c10
| inverse(X4) != sk_c8
| inverse(X5) != 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_c8,multiply(X0,sk_c8)) != sk_c9
| multiply(X1,sk_c10) != sk_c9
| multiply(X2,sk_c9) != sk_c8
| multiply(X3,sk_c9) != sk_c8
| multiply(X4,sk_c10) != sk_c9
| multiply(X5,sk_c8) != sk_c9
| inverse(X0) != sk_c8
| inverse(X1) != sk_c10
| inverse(X2) != sk_c9
| inverse(X3) != sk_c8
| inverse(X4) != sk_c10
| inverse(X5) != sk_c8 ),
inference(unflattening,[status(thm)],[c_91]) ).
cnf(c_492,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c8
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_95]) ).
cnf(c_493,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_95]) ).
cnf(c_494,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_95]) ).
cnf(c_495,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c8
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_95]) ).
cnf(c_496,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c9
| inverse(X0) != sk_c8
| ~ sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_def])],[c_95]) ).
cnf(c_497,negated_conjecture,
( sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_95]) ).
cnf(c_498,plain,
multiply(sk_c3,sk_c9) = sP5_iProver_def,
definition ).
cnf(c_499,plain,
inverse(sk_c6) = sP6_iProver_def,
definition ).
cnf(c_500,plain,
multiply(sk_c6,sk_c8) = sP7_iProver_def,
definition ).
cnf(c_501,plain,
multiply(sk_c8,sk_c7) = sP8_iProver_def,
definition ).
cnf(c_502,plain,
inverse(sk_c5) = sP9_iProver_def,
definition ).
cnf(c_503,plain,
multiply(sk_c5,sk_c8) = sP10_iProver_def,
definition ).
cnf(c_504,plain,
inverse(sk_c4) = sP11_iProver_def,
definition ).
cnf(c_505,plain,
multiply(sk_c4,sk_c10) = sP12_iProver_def,
definition ).
cnf(c_506,plain,
inverse(sk_c3) = sP13_iProver_def,
definition ).
cnf(c_507,plain,
inverse(sk_c2) = sP14_iProver_def,
definition ).
cnf(c_508,plain,
multiply(sk_c2,sk_c9) = sP15_iProver_def,
definition ).
cnf(c_509,plain,
inverse(sk_c1) = sP16_iProver_def,
definition ).
cnf(c_510,plain,
multiply(sk_c1,sk_c10) = sP17_iProver_def,
definition ).
cnf(c_511,negated_conjecture,
( sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_497]) ).
cnf(c_512,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c9
| inverse(X0) != sk_c8
| ~ sP4_iProver_def ),
inference(demodulation,[status(thm)],[c_496]) ).
cnf(c_513,negated_conjecture,
( multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c8
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_495]) ).
cnf(c_515,negated_conjecture,
( multiply(X0,sk_c10) != sk_c9
| inverse(X0) != sk_c10
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_494]) ).
cnf(c_516,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_493]) ).
cnf(c_517,negated_conjecture,
( multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c8
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_492]) ).
cnf(c_518,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP6_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_90,c_499,c_498]) ).
cnf(c_519,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP7_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_89,c_500]) ).
cnf(c_520,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP8_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_88,c_501]) ).
cnf(c_521,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP9_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_87,c_502]) ).
cnf(c_522,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP10_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_86,c_503]) ).
cnf(c_523,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP11_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_85,c_504]) ).
cnf(c_524,negated_conjecture,
( sP5_iProver_def = sk_c8
| sP12_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_84,c_505]) ).
cnf(c_525,negated_conjecture,
( sP6_iProver_def = sk_c8
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_83,c_506]) ).
cnf(c_526,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_82]) ).
cnf(c_527,negated_conjecture,
( sP8_iProver_def = sk_c9
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_81]) ).
cnf(c_528,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP13_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_80]) ).
cnf(c_532,negated_conjecture,
( sP6_iProver_def = sk_c8
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_76,c_507]) ).
cnf(c_533,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_75]) ).
cnf(c_534,negated_conjecture,
( sP8_iProver_def = sk_c9
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_535,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP14_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_539,negated_conjecture,
( sP6_iProver_def = sk_c8
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_69,c_508]) ).
cnf(c_540,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_68]) ).
cnf(c_541,negated_conjecture,
( sP8_iProver_def = sk_c9
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_542,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP15_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_546,negated_conjecture,
( sP6_iProver_def = sk_c8
| sP16_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_62,c_509]) ).
cnf(c_548,negated_conjecture,
( sP8_iProver_def = sk_c9
| sP16_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_549,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP16_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_550,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP16_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_58]) ).
cnf(c_551,negated_conjecture,
( sP11_iProver_def = sk_c10
| sP16_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_552,negated_conjecture,
( sP12_iProver_def = sk_c9
| sP16_iProver_def = sk_c10 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_554,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP17_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_556,negated_conjecture,
( sP9_iProver_def = sk_c8
| sP17_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_557,negated_conjecture,
( sP10_iProver_def = sk_c9
| sP17_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_558,negated_conjecture,
( sP11_iProver_def = sk_c10
| sP17_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_559,negated_conjecture,
( sP12_iProver_def = sk_c9
| sP17_iProver_def = sk_c9 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_921,plain,
( multiply(sk_c3,sP8_iProver_def) = sP5_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_527,c_498]) ).
cnf(c_1003,plain,
( multiply(sk_c3,sP14_iProver_def) = sP5_iProver_def
| sk_c8 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_532,c_498]) ).
cnf(c_1030,plain,
( multiply(sP6_iProver_def,sk_c7) = sP8_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_518,c_501]) ).
cnf(c_1031,plain,
( multiply(sk_c8,sP7_iProver_def) = sP8_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_526,c_501]) ).
cnf(c_1045,plain,
( multiply(sk_c5,sP13_iProver_def) = sP10_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_528,c_503]) ).
cnf(c_1046,plain,
( multiply(sk_c5,sP13_iProver_def) = sP10_iProver_def
| sk_c8 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_525,c_503]) ).
cnf(c_1090,plain,
multiply(sP11_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_504,c_93]) ).
cnf(c_1091,plain,
multiply(sP9_iProver_def,sk_c5) = identity,
inference(superposition,[status(thm)],[c_502,c_93]) ).
cnf(c_1092,plain,
multiply(sP6_iProver_def,sk_c6) = identity,
inference(superposition,[status(thm)],[c_499,c_93]) ).
cnf(c_1093,plain,
multiply(sP16_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_509,c_93]) ).
cnf(c_1094,plain,
multiply(sP14_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_507,c_93]) ).
cnf(c_1095,plain,
multiply(sP13_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_506,c_93]) ).
cnf(c_1113,plain,
( multiply(sk_c8,sP7_iProver_def) = sP8_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_533,c_501]) ).
cnf(c_1126,plain,
( multiply(sk_c2,sP14_iProver_def) = sP15_iProver_def
| sk_c9 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_534,c_508]) ).
cnf(c_1166,plain,
( multiply(sk_c2,sP14_iProver_def) = sP15_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_535,c_508]) ).
cnf(c_1323,plain,
( multiply(sk_c5,sP15_iProver_def) = sP10_iProver_def
| sk_c8 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_539,c_503]) ).
cnf(c_1357,plain,
( multiply(sk_c8,sP7_iProver_def) = sP8_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_540,c_501]) ).
cnf(c_1380,plain,
( multiply(sk_c2,sP8_iProver_def) = sP15_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_541,c_508]) ).
cnf(c_1607,plain,
( multiply(sk_c1,sP16_iProver_def) = sP17_iProver_def
| sk_c8 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_546,c_510]) ).
cnf(c_1655,plain,
( multiply(sk_c1,sP16_iProver_def) = sP17_iProver_def
| sk_c9 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_548,c_510]) ).
cnf(c_1685,plain,
( multiply(sk_c1,sP16_iProver_def) = sP17_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_549,c_510]) ).
cnf(c_1726,plain,
( multiply(sk_c1,sP16_iProver_def) = sP17_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_550,c_510]) ).
cnf(c_1756,plain,
( multiply(sk_c1,sP16_iProver_def) = sP17_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_551,c_510]) ).
cnf(c_1786,plain,
( multiply(sk_c1,sP16_iProver_def) = sP17_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_552,c_510]) ).
cnf(c_1897,plain,
( multiply(sk_c8,sP7_iProver_def) = sP8_iProver_def
| sk_c9 = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_554,c_501]) ).
cnf(c_2067,plain,
( sk_c8 = sP9_iProver_def
| sP14_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_556,c_535]) ).
cnf(c_2069,plain,
( multiply(sk_c2,sP17_iProver_def) = sP15_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_556,c_508]) ).
cnf(c_2074,plain,
( multiply(sk_c3,sP17_iProver_def) = sP5_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_556,c_498]) ).
cnf(c_2164,plain,
( multiply(sk_c2,sP17_iProver_def) = sP15_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_557,c_508]) ).
cnf(c_2304,plain,
( multiply(sk_c1,sP11_iProver_def) = sP17_iProver_def
| sk_c9 = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_558,c_510]) ).
cnf(c_2372,plain,
( multiply(sk_c2,sP17_iProver_def) = sP15_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_559,c_508]) ).
cnf(c_2781,plain,
( inverse(sk_c5) != sk_c8
| sk_c9 != sP10_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_503,c_513]) ).
cnf(c_2784,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c9 != identity
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_93,c_513]) ).
cnf(c_2802,plain,
( sk_c9 != sP10_iProver_def
| sk_c8 != sP9_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2781,c_502]) ).
cnf(c_2913,plain,
( inverse(sk_c1) != sk_c10
| sk_c9 != sP17_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_510,c_515]) ).
cnf(c_2914,plain,
( inverse(sk_c4) != sk_c10
| sk_c9 != sP12_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_505,c_515]) ).
cnf(c_2931,plain,
( sk_c10 != sP11_iProver_def
| sk_c9 != sP12_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2914,c_504]) ).
cnf(c_2935,plain,
( sk_c10 != sP16_iProver_def
| sk_c9 != sP17_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2913,c_509]) ).
cnf(c_3017,plain,
( inverse(sk_c2) != sk_c9
| sk_c8 != sP15_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_508,c_516]) ).
cnf(c_3019,plain,
( inverse(identity) != sk_c9
| sk_c9 != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_92,c_516]) ).
cnf(c_3047,plain,
( sk_c9 != sP14_iProver_def
| sk_c8 != sP15_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3017,c_507]) ).
cnf(c_3202,plain,
( inverse(sk_c3) != sk_c8
| sk_c8 != sP5_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_498,c_517]) ).
cnf(c_3203,plain,
( inverse(identity) != sk_c8
| sk_c9 != sk_c8
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_92,c_517]) ).
cnf(c_3227,plain,
( sk_c8 != sP5_iProver_def
| sk_c8 != sP13_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3202,c_506]) ).
cnf(c_3428,plain,
( multiply(sk_c8,sP10_iProver_def) != sk_c9
| inverse(sk_c5) != sk_c8
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_503,c_512]) ).
cnf(c_3429,plain,
( multiply(sk_c8,sP7_iProver_def) != sk_c9
| inverse(sk_c6) != sk_c8
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_500,c_512]) ).
cnf(c_3431,plain,
( multiply(sk_c8,identity) != sk_c9
| inverse(inverse(sk_c8)) != sk_c8
| ~ sP4_iProver_def ),
inference(superposition,[status(thm)],[c_93,c_512]) ).
cnf(c_3445,plain,
( multiply(sk_c8,sP7_iProver_def) != sk_c9
| sk_c8 != sP6_iProver_def
| ~ sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3429,c_499]) ).
cnf(c_3449,plain,
( multiply(sk_c8,sP10_iProver_def) != sk_c9
| sk_c8 != sP9_iProver_def
| ~ sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3428,c_502]) ).
cnf(c_3737,plain,
multiply(sk_c4,multiply(sk_c10,X0)) = multiply(sP12_iProver_def,X0),
inference(superposition,[status(thm)],[c_505,c_94]) ).
cnf(c_3738,plain,
multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sP10_iProver_def,X0),
inference(superposition,[status(thm)],[c_503,c_94]) ).
cnf(c_3739,plain,
multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sP8_iProver_def,X0),
inference(superposition,[status(thm)],[c_501,c_94]) ).
cnf(c_3740,plain,
multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sP7_iProver_def,X0),
inference(superposition,[status(thm)],[c_500,c_94]) ).
cnf(c_3741,plain,
multiply(sk_c2,multiply(sk_c9,X0)) = multiply(sP15_iProver_def,X0),
inference(superposition,[status(thm)],[c_508,c_94]) ).
cnf(c_3744,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_93,c_94]) ).
cnf(c_3747,plain,
multiply(sP11_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1090,c_94]) ).
cnf(c_3748,plain,
multiply(sP9_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1091,c_94]) ).
cnf(c_3749,plain,
multiply(sP6_iProver_def,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1092,c_94]) ).
cnf(c_3750,plain,
multiply(sP16_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1093,c_94]) ).
cnf(c_3751,plain,
multiply(sP14_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1094,c_94]) ).
cnf(c_3752,plain,
multiply(sP13_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1095,c_94]) ).
cnf(c_3759,plain,
multiply(sP13_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3752,c_92]) ).
cnf(c_3760,plain,
multiply(sP14_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3751,c_92]) ).
cnf(c_3761,plain,
multiply(sP16_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3750,c_92]) ).
cnf(c_3762,plain,
multiply(sP6_iProver_def,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3749,c_92]) ).
cnf(c_3763,plain,
multiply(sP9_iProver_def,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3748,c_92]) ).
cnf(c_3764,plain,
multiply(sP11_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3747,c_92]) ).
cnf(c_4665,plain,
( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
| sP14_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_2067,c_503]) ).
cnf(c_5197,plain,
multiply(sP13_iProver_def,sP5_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_498,c_3759]) ).
cnf(c_5211,plain,
multiply(sP14_iProver_def,sP15_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_508,c_3760]) ).
cnf(c_5332,plain,
multiply(sP16_iProver_def,sP17_iProver_def) = sk_c10,
inference(superposition,[status(thm)],[c_510,c_3761]) ).
cnf(c_5340,plain,
( multiply(sP13_iProver_def,sP5_iProver_def) = sP8_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_921,c_3759]) ).
cnf(c_5341,plain,
( sk_c9 = sP8_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5340,c_5197]) ).
cnf(c_5396,plain,
( multiply(sP13_iProver_def,sP5_iProver_def) = sP14_iProver_def
| sk_c8 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_1003,c_3759]) ).
cnf(c_5397,plain,
( sk_c9 = sP14_iProver_def
| sk_c8 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5396,c_5197]) ).
cnf(c_5675,plain,
multiply(sP6_iProver_def,sP7_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_500,c_3762]) ).
cnf(c_5725,plain,
multiply(sP6_iProver_def,multiply(sP7_iProver_def,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_5675,c_94]) ).
cnf(c_5727,plain,
multiply(sP9_iProver_def,sP10_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_503,c_3763]) ).
cnf(c_5747,plain,
multiply(sP9_iProver_def,multiply(sP10_iProver_def,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_5727,c_94]) ).
cnf(c_5806,plain,
( multiply(sP6_iProver_def,sP7_iProver_def) = sP8_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_519,c_1030]) ).
cnf(c_5808,plain,
( sk_c8 = sP5_iProver_def
| sk_c8 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5806,c_5675]) ).
cnf(c_5951,plain,
( multiply(sP9_iProver_def,sP10_iProver_def) = sP13_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1045,c_3763]) ).
cnf(c_5952,plain,
( sk_c8 = sP9_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5951,c_5727]) ).
cnf(c_5975,plain,
( multiply(sP9_iProver_def,sP10_iProver_def) = sP13_iProver_def
| sk_c8 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_1046,c_3763]) ).
cnf(c_5976,plain,
( sk_c8 = sP6_iProver_def
| sk_c8 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5975,c_5727]) ).
cnf(c_6079,plain,
( sk_c8 = sP5_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_5808,c_518]) ).
cnf(c_6650,plain,
( multiply(sP5_iProver_def,sP7_iProver_def) = sP8_iProver_def
| sk_c9 = sP14_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_6079,c_1113]) ).
cnf(c_6771,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP14_iProver_def
| sk_c9 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_1126,c_3760]) ).
cnf(c_6772,plain,
( sk_c9 = sP8_iProver_def
| sk_c9 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6771,c_5211]) ).
cnf(c_7002,plain,
( multiply(sP9_iProver_def,sP10_iProver_def) = sP15_iProver_def
| sk_c8 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_1323,c_3763]) ).
cnf(c_7003,plain,
( sk_c8 = sP6_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7002,c_5727]) ).
cnf(c_7057,plain,
( multiply(sP5_iProver_def,sP7_iProver_def) = sP8_iProver_def
| sk_c8 = sP15_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_6079,c_1357]) ).
cnf(c_7264,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP8_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(superposition,[status(thm)],[c_1380,c_3760]) ).
cnf(c_7265,plain,
( sk_c9 = sP8_iProver_def
| sk_c8 = sP15_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7264,c_5211]) ).
cnf(c_7830,plain,
( multiply(sP16_iProver_def,sP17_iProver_def) = sP16_iProver_def
| sk_c10 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1756,c_3761]) ).
cnf(c_7831,plain,
( sk_c10 = sP11_iProver_def
| sk_c10 = sP16_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7830,c_5332]) ).
cnf(c_7882,plain,
( multiply(sP16_iProver_def,sP17_iProver_def) = sP16_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1786,c_3761]) ).
cnf(c_7883,plain,
( sk_c10 = sP16_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7882,c_5332]) ).
cnf(c_8152,plain,
( multiply(sP5_iProver_def,sP7_iProver_def) = sP8_iProver_def
| sk_c9 = sP17_iProver_def
| sP6_iProver_def = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_6079,c_1897]) ).
cnf(c_8271,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP17_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_2069,c_3760]) ).
cnf(c_8272,plain,
( sk_c9 = sP17_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8271,c_5211]) ).
cnf(c_8301,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP17_iProver_def
| sk_c9 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_2164,c_3760]) ).
cnf(c_8302,plain,
( sk_c9 = sP10_iProver_def
| sk_c9 = sP17_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8301,c_5211]) ).
cnf(c_8334,plain,
( multiply(sP16_iProver_def,sP17_iProver_def) = sP11_iProver_def
| sk_c9 = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_2304,c_3761]) ).
cnf(c_8335,plain,
( sk_c10 = sP11_iProver_def
| sk_c9 = sP17_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8334,c_5332]) ).
cnf(c_8390,plain,
( multiply(sP14_iProver_def,sP15_iProver_def) = sP17_iProver_def
| sk_c9 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_2372,c_3760]) ).
cnf(c_8391,plain,
( sk_c9 = sP12_iProver_def
| sk_c9 = sP17_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8390,c_5211]) ).
cnf(c_9996,plain,
multiply(sk_c5,sP8_iProver_def) = multiply(sP10_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_501,c_3738]) ).
cnf(c_11474,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3744,c_92]) ).
cnf(c_11483,plain,
multiply(inverse(sk_c5),sP10_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_503,c_11474]) ).
cnf(c_11484,plain,
multiply(inverse(sk_c8),sP8_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_501,c_11474]) ).
cnf(c_11487,plain,
multiply(inverse(sk_c3),sP5_iProver_def) = sk_c9,
inference(superposition,[status(thm)],[c_498,c_11474]) ).
cnf(c_11488,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_92,c_11474]) ).
cnf(c_11489,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_93,c_11474]) ).
cnf(c_11541,plain,
( multiply(inverse(sk_c5),sP10_iProver_def) = sP9_iProver_def
| sP14_iProver_def = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_4665,c_11474]) ).
cnf(c_11579,plain,
multiply(inverse(sP13_iProver_def),identity) = sk_c3,
inference(superposition,[status(thm)],[c_1095,c_11474]) ).
cnf(c_11614,plain,
( multiply(inverse(sk_c3),sP5_iProver_def) = sP17_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_2074,c_11474]) ).
cnf(c_11643,plain,
multiply(inverse(sP11_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_3764,c_11474]) ).
cnf(c_11644,plain,
multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_3763,c_11474]) ).
cnf(c_11645,plain,
multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_3762,c_11474]) ).
cnf(c_11646,plain,
multiply(inverse(sP16_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_3761,c_11474]) ).
cnf(c_11647,plain,
multiply(inverse(sP14_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_3760,c_11474]) ).
cnf(c_11649,plain,
multiply(inverse(sP13_iProver_def),sk_c9) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_5197,c_11474]) ).
cnf(c_11678,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_11474,c_11474]) ).
cnf(c_12343,plain,
( inverse(inverse(identity)) != sk_c9
| sk_c9 != sk_c8
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_11488,c_516]) ).
cnf(c_12442,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_11489,c_11678]) ).
cnf(c_12451,plain,
multiply(sk_c4,sk_c10) = multiply(sP12_iProver_def,identity),
inference(superposition,[status(thm)],[c_12442,c_3737]) ).
cnf(c_12454,plain,
multiply(sk_c8,identity) = multiply(sP9_iProver_def,sP10_iProver_def),
inference(superposition,[status(thm)],[c_12442,c_5747]) ).
cnf(c_12455,plain,
multiply(sk_c6,sk_c8) = multiply(sP7_iProver_def,identity),
inference(superposition,[status(thm)],[c_12442,c_3740]) ).
cnf(c_12456,plain,
multiply(sk_c5,sk_c8) = multiply(sP10_iProver_def,identity),
inference(superposition,[status(thm)],[c_12442,c_3738]) ).
cnf(c_12457,plain,
multiply(sk_c8,sk_c7) = multiply(sP8_iProver_def,identity),
inference(superposition,[status(thm)],[c_12442,c_3739]) ).
cnf(c_12458,plain,
multiply(sk_c8,identity) = multiply(sP6_iProver_def,sP7_iProver_def),
inference(superposition,[status(thm)],[c_12442,c_5725]) ).
cnf(c_12461,plain,
multiply(sk_c2,sk_c9) = multiply(sP15_iProver_def,identity),
inference(superposition,[status(thm)],[c_12442,c_3741]) ).
cnf(c_12469,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_12442,c_11488]) ).
cnf(c_12471,plain,
multiply(sP15_iProver_def,identity) = sP15_iProver_def,
inference(light_normalisation,[status(thm)],[c_12461,c_508]) ).
cnf(c_12474,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_12458,c_5675]) ).
cnf(c_12475,plain,
multiply(sP8_iProver_def,identity) = sP8_iProver_def,
inference(light_normalisation,[status(thm)],[c_12457,c_501]) ).
cnf(c_12476,plain,
multiply(sP10_iProver_def,identity) = sP10_iProver_def,
inference(light_normalisation,[status(thm)],[c_12456,c_503]) ).
cnf(c_12477,plain,
multiply(sP7_iProver_def,identity) = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_12455,c_500]) ).
cnf(c_12481,plain,
multiply(sP12_iProver_def,identity) = sP12_iProver_def,
inference(light_normalisation,[status(thm)],[c_12451,c_505]) ).
cnf(c_13469,plain,
( sk_c9 != sP12_iProver_def
| ~ sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2931,c_2935,c_2931,c_7831,c_8335]) ).
cnf(c_13471,plain,
~ sP2_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_13469,c_2935,c_7883,c_8391,c_13469]) ).
cnf(c_13473,plain,
( sP0_iProver_def
| sP1_iProver_def
| sP3_iProver_def
| sP4_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_511,c_13471]) ).
cnf(c_13709,plain,
( sk_c8 != sP15_iProver_def
| ~ sP1_iProver_def
| sk_c9 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_534,c_3047]) ).
cnf(c_13710,plain,
( sk_c8 != sP15_iProver_def
| ~ sP1_iProver_def
| sk_c8 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_532,c_3047]) ).
cnf(c_13948,plain,
multiply(sk_c4,sP11_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11643,c_93]) ).
cnf(c_14019,plain,
( ~ sP1_iProver_def
| sk_c9 = sP8_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_13709,c_7265,c_13709]) ).
cnf(c_14025,plain,
( ~ sP1_iProver_def
| sk_c8 = sP6_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_13710,c_7003,c_13710]) ).
cnf(c_15393,plain,
multiply(sk_c5,sP9_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11644,c_93]) ).
cnf(c_15397,plain,
( multiply(sk_c5,sk_c8) != sk_c9
| inverse(inverse(sP9_iProver_def)) != sk_c8
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_11644,c_513]) ).
cnf(c_15398,plain,
( multiply(sk_c5,sk_c9) != sk_c8
| inverse(inverse(sP9_iProver_def)) != sk_c8
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_11644,c_517]) ).
cnf(c_15400,plain,
multiply(sk_c5,multiply(sP9_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_11644,c_11474]) ).
cnf(c_15401,plain,
multiply(sk_c5,identity) = inverse(sP9_iProver_def),
inference(superposition,[status(thm)],[c_11644,c_12442]) ).
cnf(c_15408,plain,
( inverse(inverse(sP9_iProver_def)) != sk_c8
| sk_c9 != sP10_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_15397,c_503]) ).
cnf(c_15934,plain,
inverse(sP9_iProver_def) = sk_c5,
inference(demodulation,[status(thm)],[c_15401,c_12442]) ).
cnf(c_15941,plain,
multiply(sk_c5,identity) = sk_c5,
inference(superposition,[status(thm)],[c_1091,c_15400]) ).
cnf(c_16008,plain,
multiply(sk_c6,sP6_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11645,c_93]) ).
cnf(c_16015,plain,
multiply(sk_c6,multiply(sP6_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_11645,c_11474]) ).
cnf(c_16016,plain,
multiply(sk_c6,identity) = inverse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_11645,c_12442]) ).
cnf(c_16493,plain,
inverse(sP6_iProver_def) = sk_c6,
inference(demodulation,[status(thm)],[c_16016,c_12442]) ).
cnf(c_16500,plain,
multiply(sk_c6,identity) = sk_c6,
inference(superposition,[status(thm)],[c_1092,c_16015]) ).
cnf(c_16883,plain,
multiply(sk_c1,sP16_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11646,c_93]) ).
cnf(c_16906,plain,
( sk_c9 = sP10_iProver_def
| identity = sP17_iProver_def ),
inference(demodulation,[status(thm)],[c_1726,c_16883]) ).
cnf(c_16907,plain,
( sk_c8 = sP9_iProver_def
| identity = sP17_iProver_def ),
inference(demodulation,[status(thm)],[c_1685,c_16883]) ).
cnf(c_16908,plain,
( sk_c9 = sP8_iProver_def
| identity = sP17_iProver_def ),
inference(demodulation,[status(thm)],[c_1655,c_16883]) ).
cnf(c_16909,plain,
( sk_c8 = sP6_iProver_def
| identity = sP17_iProver_def ),
inference(demodulation,[status(thm)],[c_1607,c_16883]) ).
cnf(c_17765,plain,
( multiply(sk_c5,sP9_iProver_def) = sP10_iProver_def
| identity = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_16907,c_503]) ).
cnf(c_17775,plain,
( identity = sP10_iProver_def
| identity = sP17_iProver_def ),
inference(light_normalisation,[status(thm)],[c_17765,c_15393]) ).
cnf(c_17993,plain,
( identity = sP17_iProver_def
| sP8_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_16908,c_16906]) ).
cnf(c_18151,plain,
( identity = sP17_iProver_def
| sP6_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_16909,c_16907]) ).
cnf(c_18159,plain,
( sk_c9 != sP10_iProver_def
| sP6_iProver_def != sP9_iProver_def
| ~ sP3_iProver_def
| identity = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_16909,c_2802]) ).
cnf(c_18167,plain,
( multiply(sP6_iProver_def,sP7_iProver_def) = sP8_iProver_def
| sk_c9 = sP17_iProver_def
| identity = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_16909,c_1897]) ).
cnf(c_18199,plain,
( multiply(sk_c6,sP6_iProver_def) = sP7_iProver_def
| identity = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_16909,c_500]) ).
cnf(c_18203,plain,
( identity = sP7_iProver_def
| identity = sP17_iProver_def ),
inference(light_normalisation,[status(thm)],[c_18199,c_16008]) ).
cnf(c_18272,plain,
( sk_c9 = sP17_iProver_def
| sk_c8 = sP8_iProver_def
| identity = sP17_iProver_def ),
inference(light_normalisation,[status(thm)],[c_18167,c_5675]) ).
cnf(c_21613,plain,
multiply(sk_c2,sP14_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11647,c_93]) ).
cnf(c_21620,plain,
multiply(sk_c2,multiply(sP14_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_11647,c_11474]) ).
cnf(c_21621,plain,
multiply(sk_c2,identity) = inverse(sP14_iProver_def),
inference(superposition,[status(thm)],[c_11647,c_12442]) ).
cnf(c_21639,plain,
( sk_c8 = sP9_iProver_def
| identity = sP15_iProver_def ),
inference(demodulation,[status(thm)],[c_1166,c_21613]) ).
cnf(c_21708,plain,
inverse(sP14_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_21621,c_12442]) ).
cnf(c_21712,plain,
multiply(sk_c2,identity) = sk_c2,
inference(superposition,[status(thm)],[c_1094,c_21620]) ).
cnf(c_26935,plain,
( sk_c9 != sk_c8
| sk_c9 != identity
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3019,c_12469]) ).
cnf(c_26948,plain,
( sk_c9 != identity
| sk_c8 != sP8_iProver_def
| ~ sP1_iProver_def
| identity = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_16908,c_26935]) ).
cnf(c_27131,plain,
( sk_c9 != sk_c8
| sk_c8 != identity
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3203,c_12469]) ).
cnf(c_27144,plain,
( sk_c8 != identity
| sk_c8 != sP8_iProver_def
| ~ sP0_iProver_def
| identity = sP17_iProver_def ),
inference(superposition,[status(thm)],[c_16908,c_27131]) ).
cnf(c_27531,plain,
( inverse(inverse(sP15_iProver_def)) != sP15_iProver_def
| sk_c9 != identity
| ~ sP3_iProver_def
| sk_c8 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_542,c_2784]) ).
cnf(c_29101,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_27531,c_27144,c_27131,c_26948,c_26935,c_21712,c_21708,c_21639,c_18272,c_18203,c_18159,c_18151,c_17993,c_17775,c_16909,c_16908,c_16907,c_16906,c_16500,c_16493,c_16008,c_15941,c_15934,c_15408,c_15398,c_15393,c_14025,c_14019,c_13948,c_13473,c_12481,c_12477,c_12476,c_12475,c_12474,c_12471,c_12461,c_12458,c_12457,c_12456,c_12455,c_12454,c_12451,c_12469,c_12343,c_11649,c_11614,c_11579,c_11541,c_11487,c_11484,c_11483,c_9996,c_8302,c_8272,c_8152,c_7265,c_7057,c_7003,c_6772,c_6650,c_5976,c_5952,c_5397,c_5341,c_3449,c_3445,c_3431,c_3227,c_2784,c_1897,c_1357,c_1113,c_1031,c_556,c_542,c_524,c_523,c_522,c_521,c_520,c_519,c_518,c_507,c_506,c_502,c_499]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP257-1 : TPTP v8.2.0. Released v2.5.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 20 09:43:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 7.80/1.67 % SZS status Started for theBenchmark.p
% 7.80/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 7.80/1.67
% 7.80/1.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.80/1.67
% 7.80/1.67 ------ iProver source info
% 7.80/1.67
% 7.80/1.67 git: date: 2024-06-12 09:56:46 +0000
% 7.80/1.67 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.80/1.67 git: non_committed_changes: false
% 7.80/1.67
% 7.80/1.67 ------ Parsing...successful
% 7.80/1.67
% 7.80/1.67
% 7.80/1.67
% 7.80/1.67 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.80/1.67
% 7.80/1.67 ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.80/1.67
% 7.80/1.67 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.80/1.67 ------ Proving...
% 7.80/1.67 ------ Problem Properties
% 7.80/1.67
% 7.80/1.67
% 7.80/1.67 clauses 64
% 7.80/1.67 conjectures 48
% 7.80/1.67 EPR 43
% 7.80/1.67 Horn 21
% 7.80/1.67 unary 16
% 7.80/1.67 binary 42
% 7.80/1.67 lits 120
% 7.80/1.67 lits eq 110
% 7.80/1.67 fd_pure 0
% 7.80/1.67 fd_pseudo 0
% 7.80/1.67 fd_cond 0
% 7.80/1.67 fd_pseudo_cond 0
% 7.80/1.67 AC symbols 0
% 7.80/1.67
% 7.80/1.67 ------ Schedule dynamic 5 is on
% 7.80/1.67
% 7.80/1.67 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.80/1.67
% 7.80/1.67
% 7.80/1.67 ------
% 7.80/1.67 Current options:
% 7.80/1.67 ------
% 7.80/1.67
% 7.80/1.67
% 7.80/1.67
% 7.80/1.67
% 7.80/1.67 ------ Proving...
% 7.80/1.67
% 7.80/1.67
% 7.80/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 7.80/1.67
% 7.80/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.80/1.67
% 7.80/1.67
%------------------------------------------------------------------------------