TSTP Solution File: GRP376-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP376-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 : Fri May 3 02:22:24 EDT 2024
% Result : Unsatisfiable 7.99s 1.65s
% Output : CNFRefutation 7.99s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_62,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c2,sk_c5) = sk_c7
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| multiply(X1,sk_c5) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c5) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c5,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| inverse(X1) != sk_c5
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6
| inverse(sk_c7) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_81,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_82,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_379,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_79]) ).
cnf(c_380,negated_conjecture,
( multiply(X0,sk_c5) != sk_c7
| inverse(X0) != sk_c5
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_79]) ).
cnf(c_381,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_79]) ).
cnf(c_382,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_79]) ).
cnf(c_383,negated_conjecture,
( multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c5,sk_c6) != sk_c7
| inverse(sk_c7) != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79]) ).
cnf(c_384,plain,
multiply(sk_c6,sk_c7) = sP4_iProver_def,
definition ).
cnf(c_385,plain,
multiply(sk_c5,sk_c6) = sP5_iProver_def,
definition ).
cnf(c_386,plain,
inverse(sk_c7) = sP6_iProver_def,
definition ).
cnf(c_387,plain,
multiply(sk_c4,sk_c5) = sP7_iProver_def,
definition ).
cnf(c_388,plain,
inverse(sk_c2) = sP8_iProver_def,
definition ).
cnf(c_389,plain,
inverse(sk_c4) = sP9_iProver_def,
definition ).
cnf(c_390,plain,
multiply(sk_c3,sk_c6) = sP10_iProver_def,
definition ).
cnf(c_391,plain,
inverse(sk_c3) = sP11_iProver_def,
definition ).
cnf(c_392,plain,
multiply(sk_c2,sk_c5) = sP12_iProver_def,
definition ).
cnf(c_393,plain,
inverse(sk_c1) = sP13_iProver_def,
definition ).
cnf(c_394,plain,
multiply(sk_c1,sk_c7) = sP14_iProver_def,
definition ).
cnf(c_395,negated_conjecture,
( sP4_iProver_def != sk_c5
| sP5_iProver_def != sk_c7
| sP6_iProver_def != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_383,c_386,c_385,c_384]) ).
cnf(c_396,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_382]) ).
cnf(c_397,negated_conjecture,
( multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_381]) ).
cnf(c_398,negated_conjecture,
( multiply(X0,sk_c5) != sk_c7
| inverse(X0) != sk_c5
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_380]) ).
cnf(c_399,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_379]) ).
cnf(c_400,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP8_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_78,c_388,c_387]) ).
cnf(c_401,negated_conjecture,
( sP8_iProver_def = sk_c5
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_77,c_389]) ).
cnf(c_402,negated_conjecture,
( sP8_iProver_def = sk_c5
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_76,c_390]) ).
cnf(c_403,negated_conjecture,
( sP8_iProver_def = sk_c5
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_75,c_391]) ).
cnf(c_404,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP8_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_406,negated_conjecture,
( sP9_iProver_def = sk_c6
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_72]) ).
cnf(c_407,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_408,negated_conjecture,
( sP11_iProver_def = sk_c7
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_409,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP12_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_410,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP7_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_68]) ).
cnf(c_411,negated_conjecture,
( sP5_iProver_def = sk_c7
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_414,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP5_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_416,negated_conjecture,
( sP9_iProver_def = sk_c6
| sP13_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_419,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP13_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_421,negated_conjecture,
( sP9_iProver_def = sk_c6
| sP14_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_424,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP14_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_425,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP7_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_426,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_427,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_428,negated_conjecture,
( sP6_iProver_def = sk_c6
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_429,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP6_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_975,plain,
multiply(sP6_iProver_def,sk_c7) = identity,
inference(superposition,[status(thm)],[c_386,c_81]) ).
cnf(c_976,plain,
multiply(sP11_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_391,c_81]) ).
cnf(c_977,plain,
multiply(sP9_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_389,c_81]) ).
cnf(c_978,plain,
multiply(sP13_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_393,c_81]) ).
cnf(c_979,plain,
multiply(sP8_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_388,c_81]) ).
cnf(c_1563,plain,
( sk_c6 = sP6_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_426,c_425]) ).
cnf(c_1640,plain,
( multiply(sP6_iProver_def,sk_c7) = sP4_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_427,c_384]) ).
cnf(c_1645,plain,
( sk_c7 = sP10_iProver_def
| identity = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1640,c_975]) ).
cnf(c_1760,plain,
( multiply(sk_c5,sP6_iProver_def) = sP5_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_428,c_385]) ).
cnf(c_1761,plain,
( multiply(sP6_iProver_def,sk_c7) = sP4_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_428,c_384]) ).
cnf(c_1766,plain,
( sk_c7 = sP11_iProver_def
| identity = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1761,c_975]) ).
cnf(c_2140,plain,
( inverse(sk_c6) != sk_c7
| sk_c6 != sP4_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_384,c_396]) ).
cnf(c_2144,plain,
( inverse(sP6_iProver_def) != sk_c7
| sk_c6 != identity
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_975,c_396]) ).
cnf(c_3130,plain,
multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_384,c_82]) ).
cnf(c_3132,plain,
multiply(sk_c4,multiply(sk_c5,X0)) = multiply(sP7_iProver_def,X0),
inference(superposition,[status(thm)],[c_387,c_82]) ).
cnf(c_3134,plain,
multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_385,c_82]) ).
cnf(c_3137,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_3140,plain,
multiply(sP6_iProver_def,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_975,c_82]) ).
cnf(c_3141,plain,
multiply(sP11_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_976,c_82]) ).
cnf(c_3142,plain,
multiply(sP9_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_977,c_82]) ).
cnf(c_3143,plain,
multiply(sP13_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_978,c_82]) ).
cnf(c_3144,plain,
multiply(sP8_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_979,c_82]) ).
cnf(c_3150,plain,
multiply(sP8_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3144,c_80]) ).
cnf(c_3151,plain,
multiply(sP13_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3143,c_80]) ).
cnf(c_3152,plain,
multiply(sP9_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3142,c_80]) ).
cnf(c_3153,plain,
multiply(sP11_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3141,c_80]) ).
cnf(c_3154,plain,
multiply(sP6_iProver_def,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3140,c_80]) ).
cnf(c_3256,plain,
( multiply(sk_c5,sP6_iProver_def) = sP5_iProver_def
| sP7_iProver_def = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_1563,c_385]) ).
cnf(c_3570,plain,
( identity = sP4_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_1766,c_1645]) ).
cnf(c_3984,plain,
multiply(sP8_iProver_def,sP12_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_392,c_3150]) ).
cnf(c_4074,plain,
multiply(sP9_iProver_def,sP7_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_387,c_3152]) ).
cnf(c_4543,plain,
multiply(sP11_iProver_def,sP10_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_390,c_3153]) ).
cnf(c_4724,plain,
( multiply(sP4_iProver_def,X0) = X0
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_3570,c_80]) ).
cnf(c_9583,plain,
multiply(sk_c4,sP5_iProver_def) = multiply(sP7_iProver_def,sk_c6),
inference(superposition,[status(thm)],[c_385,c_3132]) ).
cnf(c_9724,plain,
multiply(sP9_iProver_def,multiply(sP7_iProver_def,sk_c6)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_9583,c_3152]) ).
cnf(c_9791,plain,
multiply(sk_c5,sP4_iProver_def) = multiply(sP5_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_384,c_3134]) ).
cnf(c_11140,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3137,c_80]) ).
cnf(c_11162,plain,
multiply(inverse(sk_c6),sP4_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_384,c_11140]) ).
cnf(c_11166,plain,
multiply(inverse(sk_c5),sP5_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_385,c_11140]) ).
cnf(c_11169,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_11140]) ).
cnf(c_11315,plain,
multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_3154,c_11140]) ).
cnf(c_11316,plain,
multiply(inverse(sP11_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_3153,c_11140]) ).
cnf(c_11317,plain,
multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_3152,c_11140]) ).
cnf(c_11318,plain,
multiply(inverse(sP13_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_3151,c_11140]) ).
cnf(c_11319,plain,
multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_3150,c_11140]) ).
cnf(c_11358,plain,
multiply(inverse(sk_c5),multiply(sP5_iProver_def,sk_c7)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_9791,c_11140]) ).
cnf(c_11360,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_11140,c_11140]) ).
cnf(c_12699,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_11169,c_11360]) ).
cnf(c_13575,plain,
multiply(sk_c7,sP6_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11315,c_81]) ).
cnf(c_13579,plain,
( inverse(inverse(sP6_iProver_def)) != sk_c5
| multiply(sk_c7,sk_c5) != sk_c7
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_11315,c_398]) ).
cnf(c_13580,plain,
( inverse(inverse(sP6_iProver_def)) != sk_c6
| multiply(sk_c7,sk_c5) != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_11315,c_397]) ).
cnf(c_13582,plain,
multiply(sk_c7,identity) = inverse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_11315,c_12699]) ).
cnf(c_13648,plain,
multiply(sk_c6,identity) = multiply(sP4_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_13575,c_3130]) ).
cnf(c_13697,plain,
inverse(sP6_iProver_def) = sk_c7,
inference(demodulation,[status(thm)],[c_13582,c_12699]) ).
cnf(c_14314,plain,
multiply(sP4_iProver_def,sP6_iProver_def) = sk_c6,
inference(demodulation,[status(thm)],[c_13648,c_12699]) ).
cnf(c_14319,plain,
multiply(inverse(sP4_iProver_def),sk_c6) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_14314,c_11140]) ).
cnf(c_14323,plain,
( sk_c6 = sP6_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_14314,c_4724]) ).
cnf(c_15779,plain,
( multiply(sk_c5,sP6_iProver_def) = sP5_iProver_def
| sP10_iProver_def = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_14323,c_385]) ).
cnf(c_16906,plain,
( inverse(inverse(sP11_iProver_def)) != sk_c7
| multiply(sk_c3,sk_c7) != sk_c6
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_11316,c_396]) ).
cnf(c_16907,plain,
multiply(sk_c3,sP11_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11316,c_81]) ).
cnf(c_16910,plain,
( inverse(inverse(sP11_iProver_def)) != sk_c7
| multiply(sk_c3,sk_c6) != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_11316,c_399]) ).
cnf(c_16914,plain,
multiply(sk_c3,identity) = inverse(sP11_iProver_def),
inference(superposition,[status(thm)],[c_11316,c_12699]) ).
cnf(c_16933,plain,
( inverse(inverse(sP11_iProver_def)) != sk_c7
| sk_c7 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_16910,c_390]) ).
cnf(c_17054,plain,
inverse(sP11_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_16914,c_12699]) ).
cnf(c_19012,plain,
multiply(sk_c4,sP9_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11317,c_81]) ).
cnf(c_19015,plain,
( inverse(inverse(sP9_iProver_def)) != sk_c7
| multiply(sk_c4,sk_c6) != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_11317,c_399]) ).
cnf(c_19017,plain,
( inverse(inverse(sP9_iProver_def)) != sk_c6
| multiply(sk_c4,sk_c5) != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_11317,c_397]) ).
cnf(c_19019,plain,
multiply(sk_c4,identity) = inverse(sP9_iProver_def),
inference(superposition,[status(thm)],[c_11317,c_12699]) ).
cnf(c_19020,plain,
( inverse(inverse(sP9_iProver_def)) != sk_c6
| sk_c6 != sP7_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_19017,c_387]) ).
cnf(c_19523,plain,
inverse(sP9_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_19019,c_12699]) ).
cnf(c_19645,plain,
( inverse(inverse(sP13_iProver_def)) != sk_c7
| multiply(sk_c1,sk_c7) != sk_c6
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_11318,c_396]) ).
cnf(c_19646,plain,
multiply(sk_c1,sP13_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11318,c_81]) ).
cnf(c_19649,plain,
( inverse(inverse(sP13_iProver_def)) != sk_c7
| multiply(sk_c1,sk_c6) != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_11318,c_399]) ).
cnf(c_19653,plain,
multiply(sk_c1,identity) = inverse(sP13_iProver_def),
inference(superposition,[status(thm)],[c_11318,c_12699]) ).
cnf(c_19675,plain,
( inverse(inverse(sP13_iProver_def)) != sk_c7
| sk_c6 != sP14_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_19645,c_394]) ).
cnf(c_20472,plain,
inverse(sP13_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_19653,c_12699]) ).
cnf(c_21435,plain,
multiply(sk_c2,sP8_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11319,c_81]) ).
cnf(c_21439,plain,
( inverse(inverse(sP8_iProver_def)) != sk_c5
| multiply(sk_c2,sk_c5) != sk_c7
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_11319,c_398]) ).
cnf(c_21442,plain,
multiply(sk_c2,identity) = inverse(sP8_iProver_def),
inference(superposition,[status(thm)],[c_11319,c_12699]) ).
cnf(c_21447,plain,
( inverse(inverse(sP8_iProver_def)) != sk_c5
| sk_c7 != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_21439,c_392]) ).
cnf(c_23206,plain,
inverse(sP8_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_21442,c_12699]) ).
cnf(c_24334,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_23206,c_21447,c_21435,c_20472,c_19675,c_19649,c_19646,c_19523,c_19020,c_19015,c_19019,c_19012,c_17054,c_16933,c_16906,c_16907,c_15779,c_14319,c_14314,c_13697,c_13580,c_13579,c_13582,c_11358,c_11166,c_11162,c_9724,c_9583,c_4543,c_4074,c_3984,c_3256,c_2144,c_2140,c_1760,c_975,c_429,c_426,c_424,c_421,c_419,c_416,c_414,c_411,c_410,c_409,c_408,c_407,c_406,c_404,c_403,c_402,c_401,c_400,c_395,c_394,c_393,c_392,c_391,c_390,c_389,c_388,c_387,c_386,c_385,c_384]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP376-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 2 23:44:36 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.99/1.65 % SZS status Started for theBenchmark.p
% 7.99/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 7.99/1.65
% 7.99/1.65 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.99/1.65
% 7.99/1.65 ------ iProver source info
% 7.99/1.65
% 7.99/1.65 git: date: 2024-05-02 19:28:25 +0000
% 7.99/1.65 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.99/1.65 git: non_committed_changes: false
% 7.99/1.65
% 7.99/1.65 ------ Parsing...successful
% 7.99/1.65
% 7.99/1.65
% 7.99/1.65
% 7.99/1.65 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.99/1.65
% 7.99/1.65 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.99/1.65
% 7.99/1.65 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.99/1.65 ------ Proving...
% 7.99/1.65 ------ Problem Properties
% 7.99/1.65
% 7.99/1.65
% 7.99/1.65 clauses 49
% 7.99/1.65 conjectures 35
% 7.99/1.65 EPR 31
% 7.99/1.65 Horn 18
% 7.99/1.65 unary 14
% 7.99/1.65 binary 30
% 7.99/1.65 lits 93
% 7.99/1.65 lits eq 85
% 7.99/1.65 fd_pure 0
% 7.99/1.65 fd_pseudo 0
% 7.99/1.65 fd_cond 0
% 7.99/1.65 fd_pseudo_cond 0
% 7.99/1.65 AC symbols 0
% 7.99/1.65
% 7.99/1.65 ------ Schedule dynamic 5 is on
% 7.99/1.65
% 7.99/1.65 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.99/1.65
% 7.99/1.65
% 7.99/1.65 ------
% 7.99/1.65 Current options:
% 7.99/1.65 ------
% 7.99/1.65
% 7.99/1.65
% 7.99/1.65
% 7.99/1.65
% 7.99/1.65 ------ Proving...
% 7.99/1.65
% 7.99/1.65
% 7.99/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 7.99/1.65
% 7.99/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.99/1.65
% 7.99/1.66
%------------------------------------------------------------------------------