TSTP Solution File: GRP335-1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP335-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 02:22:13 EDT 2024
% Result : Unsatisfiable 7.99s 1.66s
% Output : CNFRefutation 7.99s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c3,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| multiply(X3,sk_c8) != X4
| multiply(sk_c8,X4) != sk_c7
| multiply(sk_c7,sk_c8) != sk_c6
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| inverse(X1) != sk_c7
| inverse(X2) != sk_c8
| inverse(X3) != sk_c8 ),
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_83,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| multiply(X1,sk_c7) != sk_c6
| multiply(X2,sk_c7) != sk_c8
| multiply(X3,sk_c8) != sk_c7
| multiply(sk_c7,sk_c8) != sk_c6
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(X0) != sk_c8
| inverse(X1) != sk_c7
| inverse(X2) != sk_c7
| inverse(X3) != sk_c8 ),
inference(unflattening,[status(thm)],[c_79]) ).
cnf(c_376,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c7
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_83]) ).
cnf(c_377,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_83]) ).
cnf(c_378,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_83]) ).
cnf(c_379,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_83]) ).
cnf(c_380,negated_conjecture,
( multiply(sk_c7,sk_c8) != sk_c6
| multiply(sk_c8,sk_c7) != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).
cnf(c_381,plain,
multiply(sk_c7,sk_c8) = sP4_iProver_def,
definition ).
cnf(c_382,plain,
multiply(sk_c8,sk_c7) = sP5_iProver_def,
definition ).
cnf(c_383,plain,
inverse(sk_c4) = sP6_iProver_def,
definition ).
cnf(c_384,plain,
inverse(sk_c2) = sP7_iProver_def,
definition ).
cnf(c_385,plain,
multiply(sk_c4,sk_c8) = sP8_iProver_def,
definition ).
cnf(c_386,plain,
multiply(sk_c8,sk_c5) = sP9_iProver_def,
definition ).
cnf(c_387,plain,
inverse(sk_c3) = sP10_iProver_def,
definition ).
cnf(c_388,plain,
multiply(sk_c3,sk_c8) = sP11_iProver_def,
definition ).
cnf(c_389,plain,
multiply(sk_c2,sk_c7) = sP12_iProver_def,
definition ).
cnf(c_390,plain,
inverse(sk_c1) = sP13_iProver_def,
definition ).
cnf(c_391,plain,
multiply(sk_c1,sk_c7) = sP14_iProver_def,
definition ).
cnf(c_392,negated_conjecture,
( sP4_iProver_def != sk_c6
| sP5_iProver_def != sk_c6
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_380,c_382,c_381]) ).
cnf(c_393,negated_conjecture,
( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
| inverse(X0) != sk_c8
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_379]) ).
cnf(c_394,negated_conjecture,
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_378]) ).
cnf(c_395,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_377]) ).
cnf(c_396,negated_conjecture,
( multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c7
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_376]) ).
cnf(c_397,negated_conjecture,
( sP6_iProver_def = sk_c8
| sP7_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_78,c_384,c_383]) ).
cnf(c_398,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP8_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_77,c_385]) ).
cnf(c_399,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP9_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_76,c_386]) ).
cnf(c_400,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_75,c_387]) ).
cnf(c_401,negated_conjecture,
( sP7_iProver_def = sk_c7
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_74,c_388]) ).
cnf(c_402,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP7_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_403,negated_conjecture,
( sP6_iProver_def = sk_c8
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_72,c_389]) ).
cnf(c_404,negated_conjecture,
( sP8_iProver_def = sk_c5
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_405,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_406,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_407,negated_conjecture,
( sP11_iProver_def = sk_c7
| sP12_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_68]) ).
cnf(c_412,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP13_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_413,negated_conjecture,
( sP11_iProver_def = sk_c7
| sP13_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_416,negated_conjecture,
( sP8_iProver_def = sk_c5
| sP14_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_418,negated_conjecture,
( sP10_iProver_def = sk_c8
| sP14_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_419,negated_conjecture,
( sP11_iProver_def = sk_c7
| sP14_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_421,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP6_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_422,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP8_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_423,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP9_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_424,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP10_iProver_def = sk_c8 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_425,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_426,negated_conjecture,
( sP4_iProver_def = sk_c6
| sP5_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_427,plain,
X0 = X0,
theory(equality) ).
cnf(c_428,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_690,plain,
( multiply(sk_c7,sP12_iProver_def) = sP4_iProver_def
| sk_c8 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_403,c_381]) ).
cnf(c_704,plain,
( multiply(sP10_iProver_def,sk_c7) = sP5_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_400,c_382]) ).
cnf(c_719,plain,
( multiply(sk_c4,sP10_iProver_def) = sP8_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_400,c_385]) ).
cnf(c_730,plain,
( multiply(sk_c8,sP8_iProver_def) = sP9_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_404,c_386]) ).
cnf(c_751,plain,
( multiply(sk_c7,sP12_iProver_def) = sP4_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_405,c_381]) ).
cnf(c_774,plain,
( multiply(sP12_iProver_def,sk_c5) = sP9_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_406,c_386]) ).
cnf(c_775,plain,
( multiply(sk_c4,sP12_iProver_def) = sP8_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_406,c_385]) ).
cnf(c_777,plain,
( multiply(sk_c7,sP12_iProver_def) = sP4_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_406,c_381]) ).
cnf(c_803,plain,
( multiply(sk_c7,sP12_iProver_def) = sP4_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_407,c_381]) ).
cnf(c_865,plain,
( sk_c6 != X0
| sP4_iProver_def != X0
| sP4_iProver_def = sk_c6 ),
inference(instantiation,[status(thm)],[c_428]) ).
cnf(c_868,plain,
( X0 != X1
| sk_c6 != X1
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_428]) ).
cnf(c_869,plain,
( X0 != sk_c6
| sk_c6 != sk_c6
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_868]) ).
cnf(c_870,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_427]) ).
cnf(c_878,plain,
( X0 != X1
| sk_c6 != X1
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_428]) ).
cnf(c_880,plain,
( sk_c6 != sk_c6
| sP5_iProver_def != sk_c6
| sk_c6 = sP5_iProver_def ),
inference(instantiation,[status(thm)],[c_869]) ).
cnf(c_924,plain,
( multiply(sk_c4,sP10_iProver_def) = sP8_iProver_def
| sk_c7 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_412,c_385]) ).
cnf(c_951,plain,
( sk_c6 != sP5_iProver_def
| sP4_iProver_def != sP5_iProver_def
| sP4_iProver_def = sk_c6 ),
inference(instantiation,[status(thm)],[c_865]) ).
cnf(c_963,plain,
( X0 != sP5_iProver_def
| sk_c6 != sP5_iProver_def
| X0 = sk_c6 ),
inference(instantiation,[status(thm)],[c_878]) ).
cnf(c_989,plain,
( sk_c6 != sk_c6
| sP4_iProver_def != sk_c6
| sk_c6 = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_869]) ).
cnf(c_1037,plain,
multiply(sP10_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_387,c_81]) ).
cnf(c_1038,plain,
multiply(sP6_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_383,c_81]) ).
cnf(c_1039,plain,
multiply(sP13_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_390,c_81]) ).
cnf(c_1040,plain,
multiply(sP7_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_384,c_81]) ).
cnf(c_1041,plain,
( sk_c6 != sP4_iProver_def
| sP4_iProver_def != sP4_iProver_def
| sP4_iProver_def = sk_c6 ),
inference(instantiation,[status(thm)],[c_865]) ).
cnf(c_1043,plain,
( X0 != sP4_iProver_def
| sk_c6 != sP4_iProver_def
| sk_c6 = X0 ),
inference(instantiation,[status(thm)],[c_868]) ).
cnf(c_1052,plain,
( multiply(sk_c1,sP13_iProver_def) = sP14_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_413,c_391]) ).
cnf(c_1317,plain,
( sk_c6 != sP5_iProver_def
| sP5_iProver_def != sP5_iProver_def
| sP5_iProver_def = sk_c6 ),
inference(instantiation,[status(thm)],[c_963]) ).
cnf(c_1318,plain,
sP5_iProver_def = sP5_iProver_def,
inference(instantiation,[status(thm)],[c_427]) ).
cnf(c_1336,plain,
( sk_c8 = sP10_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_424,c_418]) ).
cnf(c_1385,plain,
( sk_c7 = sP11_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_425,c_419]) ).
cnf(c_1420,plain,
( sk_c8 = sP10_iProver_def
| sk_c6 = sP4_iProver_def
| sP4_iProver_def = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_426,c_424]) ).
cnf(c_1560,plain,
sP14_iProver_def = sP14_iProver_def,
inference(instantiation,[status(thm)],[c_427]) ).
cnf(c_1714,plain,
( sk_c6 != sP5_iProver_def
| sk_c8 = sP10_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_424,c_392]) ).
cnf(c_1853,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != identity
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_81,c_394]) ).
cnf(c_1982,plain,
( inverse(sk_c1) != sk_c7
| sk_c6 != sP14_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_391,c_395]) ).
cnf(c_1984,plain,
( inverse(identity) != sk_c7
| sk_c7 != sk_c6
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_80,c_395]) ).
cnf(c_1985,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c6 != identity
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_81,c_395]) ).
cnf(c_2000,plain,
( sk_c7 != sP13_iProver_def
| sk_c6 != sP14_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1982,c_390]) ).
cnf(c_2062,plain,
( inverse(sk_c2) != sk_c7
| sk_c8 != sP12_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_389,c_396]) ).
cnf(c_2063,plain,
( inverse(identity) != sk_c7
| sk_c7 != sk_c8
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_80,c_396]) ).
cnf(c_2064,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c8 != identity
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_81,c_396]) ).
cnf(c_2075,plain,
( sk_c7 != sP7_iProver_def
| sk_c8 != sP12_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2062,c_384]) ).
cnf(c_2182,plain,
( multiply(sk_c8,sP11_iProver_def) != sk_c7
| inverse(sk_c3) != sk_c8
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_388,c_393]) ).
cnf(c_2185,plain,
( multiply(sk_c8,identity) != sk_c7
| inverse(inverse(sk_c8)) != sk_c8
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_81,c_393]) ).
cnf(c_2202,plain,
( multiply(sk_c8,sP11_iProver_def) != sk_c7
| sk_c8 != sP10_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2182,c_387]) ).
cnf(c_2353,plain,
sP4_iProver_def = sP4_iProver_def,
inference(instantiation,[status(thm)],[c_427]) ).
cnf(c_2390,plain,
( X0 != X1
| sP14_iProver_def != X1
| sP14_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_428]) ).
cnf(c_2413,plain,
( multiply(sP10_iProver_def,sk_c7) = sP5_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_1336,c_382]) ).
cnf(c_2468,plain,
( multiply(sk_c8,sP11_iProver_def) = sP5_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_1385,c_382]) ).
cnf(c_2469,plain,
( multiply(sP11_iProver_def,sk_c8) = sP4_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_1385,c_381]) ).
cnf(c_2530,plain,
multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_381,c_82]) ).
cnf(c_2531,plain,
multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_382,c_82]) ).
cnf(c_2532,plain,
multiply(sk_c3,multiply(sk_c8,X0)) = multiply(sP11_iProver_def,X0),
inference(superposition,[status(thm)],[c_388,c_82]) ).
cnf(c_2536,plain,
multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sP12_iProver_def,X0),
inference(superposition,[status(thm)],[c_389,c_82]) ).
cnf(c_2538,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_2540,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1037,c_82]) ).
cnf(c_2541,plain,
multiply(sP6_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1038,c_82]) ).
cnf(c_2542,plain,
multiply(sP13_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1039,c_82]) ).
cnf(c_2543,plain,
multiply(sP7_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1040,c_82]) ).
cnf(c_2549,plain,
multiply(sP7_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2543,c_80]) ).
cnf(c_2550,plain,
multiply(sP13_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2542,c_80]) ).
cnf(c_2551,plain,
multiply(sP6_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2541,c_80]) ).
cnf(c_2552,plain,
multiply(sP10_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2540,c_80]) ).
cnf(c_2667,plain,
multiply(sP7_iProver_def,sP12_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_389,c_2549]) ).
cnf(c_3114,plain,
( multiply(sP10_iProver_def,sP11_iProver_def) = sP5_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_401,c_704]) ).
cnf(c_3225,plain,
multiply(sP6_iProver_def,sP8_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_385,c_2551]) ).
cnf(c_3234,plain,
multiply(sP10_iProver_def,sP11_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_388,c_2552]) ).
cnf(c_3360,plain,
( multiply(sP6_iProver_def,sP8_iProver_def) = sP10_iProver_def
| sk_c7 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_719,c_2551]) ).
cnf(c_3361,plain,
( sk_c7 = sP7_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3360,c_3225]) ).
cnf(c_4245,plain,
( multiply(sP12_iProver_def,sP8_iProver_def) = sP9_iProver_def
| sk_c8 = sP10_iProver_def
| sk_c6 = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_416,c_774]) ).
cnf(c_4267,plain,
( multiply(sP6_iProver_def,sP8_iProver_def) = sP12_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_775,c_2551]) ).
cnf(c_4268,plain,
( sk_c8 = sP10_iProver_def
| sk_c8 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4267,c_3225]) ).
cnf(c_4849,plain,
( X0 != sP14_iProver_def
| sP14_iProver_def != sP14_iProver_def
| sP14_iProver_def = X0 ),
inference(instantiation,[status(thm)],[c_2390]) ).
cnf(c_5404,plain,
( multiply(sP6_iProver_def,sP8_iProver_def) = sP10_iProver_def
| sk_c7 = sP13_iProver_def ),
inference(superposition,[status(thm)],[c_924,c_2551]) ).
cnf(c_5405,plain,
( sk_c7 = sP13_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5404,c_3225]) ).
cnf(c_6638,plain,
( sk_c7 = sP7_iProver_def
| sk_c8 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_3114,c_3234]) ).
cnf(c_6705,plain,
( sk_c7 = sP7_iProver_def
| sP5_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_6638,c_400]) ).
cnf(c_6880,plain,
( multiply(sP7_iProver_def,sk_c8) = sP4_iProver_def
| sP5_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_6705,c_381]) ).
cnf(c_8044,plain,
( multiply(sP10_iProver_def,sP11_iProver_def) = sP5_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_1385,c_2413]) ).
cnf(c_8056,plain,
( sk_c8 = sP5_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8044,c_3234]) ).
cnf(c_8266,plain,
( sP4_iProver_def = sP14_iProver_def
| sP5_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_8056,c_1336]) ).
cnf(c_8476,plain,
( multiply(sk_c8,sP4_iProver_def) != sk_c7
| inverse(sP11_iProver_def) != sk_c8
| ~ sP3_iProver_def
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_2469,c_393]) ).
cnf(c_8536,plain,
multiply(sk_c7,sP5_iProver_def) = multiply(sP4_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_382,c_2530]) ).
cnf(c_8537,plain,
multiply(sk_c7,sP9_iProver_def) = multiply(sP4_iProver_def,sk_c5),
inference(superposition,[status(thm)],[c_386,c_2530]) ).
cnf(c_8937,plain,
multiply(sk_c8,sP4_iProver_def) = multiply(sP5_iProver_def,sk_c8),
inference(superposition,[status(thm)],[c_381,c_2531]) ).
cnf(c_9241,plain,
multiply(sk_c3,sP5_iProver_def) = multiply(sP11_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_382,c_2532]) ).
cnf(c_9243,plain,
( multiply(sk_c3,sP5_iProver_def) = multiply(sP11_iProver_def,sP11_iProver_def)
| sP4_iProver_def = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_2468,c_2532]) ).
cnf(c_10060,plain,
multiply(sk_c2,sP4_iProver_def) = multiply(sP12_iProver_def,sk_c8),
inference(superposition,[status(thm)],[c_381,c_2536]) ).
cnf(c_10072,plain,
multiply(sk_c2,multiply(sP4_iProver_def,sk_c7)) = multiply(sP12_iProver_def,sP5_iProver_def),
inference(superposition,[status(thm)],[c_8536,c_2536]) ).
cnf(c_10206,plain,
( sk_c6 = sP4_iProver_def
| sk_c8 = sP10_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1420,c_426,c_870,c_880,c_951,c_989,c_1420]) ).
cnf(c_10207,plain,
( sk_c8 = sP10_iProver_def
| sk_c6 = sP4_iProver_def ),
inference(renaming,[status(thm)],[c_10206]) ).
cnf(c_11561,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2538,c_80]) ).
cnf(c_11566,plain,
multiply(inverse(sk_c7),sP4_iProver_def) = sk_c8,
inference(superposition,[status(thm)],[c_381,c_11561]) ).
cnf(c_11567,plain,
multiply(inverse(sk_c8),sP5_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_382,c_11561]) ).
cnf(c_11573,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_11561]) ).
cnf(c_11574,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_11561]) ).
cnf(c_11676,plain,
multiply(inverse(sk_c7),multiply(sP4_iProver_def,sk_c7)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_8536,c_11561]) ).
cnf(c_11686,plain,
multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2552,c_11561]) ).
cnf(c_11687,plain,
multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2551,c_11561]) ).
cnf(c_11688,plain,
multiply(inverse(sP13_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2550,c_11561]) ).
cnf(c_11689,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2549,c_11561]) ).
cnf(c_11734,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_11561,c_11561]) ).
cnf(c_12548,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_11574,c_11734]) ).
cnf(c_12575,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_12548,c_11573]) ).
cnf(c_15470,plain,
multiply(sk_c3,sP10_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11686,c_81]) ).
cnf(c_15474,plain,
( multiply(sk_c3,sk_c8) != sk_c7
| inverse(inverse(sP10_iProver_def)) != sk_c8
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_11686,c_394]) ).
cnf(c_15476,plain,
multiply(sk_c3,identity) = inverse(sP10_iProver_def),
inference(superposition,[status(thm)],[c_11686,c_12548]) ).
cnf(c_15477,plain,
( inverse(inverse(sP10_iProver_def)) != sk_c8
| sk_c7 != sP11_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_15474,c_388]) ).
cnf(c_15522,plain,
inverse(sP10_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_15476,c_12548]) ).
cnf(c_16341,plain,
multiply(sk_c4,sP6_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11687,c_81]) ).
cnf(c_17215,plain,
( sk_c8 = sP10_iProver_def
| sk_c6 != sP5_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1714,c_392,c_1041,c_1317,c_1318,c_2075,c_2353,c_3361,c_4268,c_10207]) ).
cnf(c_17216,plain,
( sk_c6 != sP5_iProver_def
| sk_c8 = sP10_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(renaming,[status(thm)],[c_17215]) ).
cnf(c_17243,plain,
( sP5_iProver_def != sP14_iProver_def
| sk_c8 = sP10_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_418,c_17216]) ).
cnf(c_18218,plain,
( sP4_iProver_def != sP5_iProver_def
| sk_c8 = sP10_iProver_def
| sP5_iProver_def = sP10_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_8266,c_17243]) ).
cnf(c_18752,plain,
multiply(sk_c1,sP13_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11688,c_81]) ).
cnf(c_18789,plain,
( sk_c7 = sP11_iProver_def
| identity = sP14_iProver_def ),
inference(demodulation,[status(thm)],[c_1052,c_18752]) ).
cnf(c_19531,plain,
( sk_c7 != sk_c6
| sk_c7 != identity
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1984,c_12575]) ).
cnf(c_19865,plain,
( multiply(sk_c8,sP11_iProver_def) = sP5_iProver_def
| identity = sP14_iProver_def ),
inference(superposition,[status(thm)],[c_18789,c_382]) ).
cnf(c_20920,plain,
multiply(sk_c2,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_11689,c_81]) ).
cnf(c_20926,plain,
multiply(sk_c2,identity) = inverse(sP7_iProver_def),
inference(superposition,[status(thm)],[c_11689,c_12548]) ).
cnf(c_21578,plain,
( sk_c7 != sk_c8
| sk_c7 != identity
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2063,c_12575]) ).
cnf(c_22959,plain,
inverse(sP7_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_20926,c_12548]) ).
cnf(c_24024,plain,
( multiply(sk_c8,sP4_iProver_def) != sk_c7
| inverse(sP7_iProver_def) != sk_c8
| ~ sP3_iProver_def
| sP5_iProver_def = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_6880,c_393]) ).
cnf(c_24041,plain,
( multiply(sP5_iProver_def,sk_c8) != sk_c7
| sk_c8 != sk_c2
| ~ sP3_iProver_def
| sP5_iProver_def = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_24024,c_8937,c_22959]) ).
cnf(c_27667,plain,
( sP4_iProver_def != sP14_iProver_def
| sP14_iProver_def != sP14_iProver_def
| sP14_iProver_def = sP4_iProver_def ),
inference(instantiation,[status(thm)],[c_4849]) ).
cnf(c_27943,plain,
( sk_c6 != sP4_iProver_def
| sP14_iProver_def != sP4_iProver_def
| sk_c6 = sP14_iProver_def ),
inference(instantiation,[status(thm)],[c_1043]) ).
cnf(c_29661,plain,
( sk_c8 = sP10_iProver_def
| sk_c6 = sP14_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_4245,c_1336,c_1560,c_10207,c_27667,c_27943]) ).
cnf(c_33205,plain,
( inverse(inverse(sk_c8)) != sk_c8
| sk_c7 != sk_c8
| ~ sP3_iProver_def ),
inference(demodulation,[status(thm)],[c_2185,c_12548]) ).
cnf(c_35411,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_33205,c_29661,c_24041,c_22959,c_21578,c_20926,c_20920,c_19865,c_19531,c_18752,c_18218,c_16341,c_15522,c_15477,c_15476,c_15470,c_12575,c_11676,c_11567,c_11566,c_10072,c_10060,c_9243,c_9241,c_8937,c_8537,c_8536,c_8476,c_5405,c_3234,c_3225,c_2667,c_2202,c_2064,c_2000,c_1985,c_1853,c_1037,c_803,c_777,c_751,c_730,c_690,c_426,c_425,c_424,c_423,c_422,c_421,c_402,c_401,c_400,c_399,c_398,c_397,c_392,c_391,c_389,c_388,c_387,c_386,c_385,c_384,c_382,c_381]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP335-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 00:27:50 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 7.99/1.66 % SZS status Started for theBenchmark.p
% 7.99/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 7.99/1.66
% 7.99/1.66 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.99/1.66
% 7.99/1.66 ------ iProver source info
% 7.99/1.66
% 7.99/1.66 git: date: 2024-05-02 19:28:25 +0000
% 7.99/1.66 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.99/1.66 git: non_committed_changes: false
% 7.99/1.66
% 7.99/1.66 ------ Parsing...successful
% 7.99/1.66
% 7.99/1.66
% 7.99/1.66
% 7.99/1.66 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 7.99/1.66
% 7.99/1.66 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.99/1.66
% 7.99/1.66 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 7.99/1.66 ------ Proving...
% 7.99/1.66 ------ Problem Properties
% 7.99/1.66
% 7.99/1.66
% 7.99/1.66 clauses 49
% 7.99/1.66 conjectures 35
% 7.99/1.66 EPR 31
% 7.99/1.66 Horn 18
% 7.99/1.66 unary 14
% 7.99/1.66 binary 30
% 7.99/1.66 lits 92
% 7.99/1.66 lits eq 84
% 7.99/1.66 fd_pure 0
% 7.99/1.66 fd_pseudo 0
% 7.99/1.66 fd_cond 0
% 7.99/1.66 fd_pseudo_cond 0
% 7.99/1.66 AC symbols 0
% 7.99/1.66
% 7.99/1.66 ------ Schedule dynamic 5 is on
% 7.99/1.66
% 7.99/1.66 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.99/1.66
% 7.99/1.66
% 7.99/1.66 ------
% 7.99/1.66 Current options:
% 7.99/1.66 ------
% 7.99/1.66
% 7.99/1.66
% 7.99/1.66
% 7.99/1.66
% 7.99/1.66 ------ Proving...
% 7.99/1.66
% 7.99/1.66
% 7.99/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 7.99/1.66
% 7.99/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.99/1.66
% 7.99/1.67
%------------------------------------------------------------------------------