TSTP Solution File: GRP361-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP361-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n002.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 02:22:20 EDT 2024
% Result : Unsatisfiable 8.94s 2.18s
% Output : CNFRefutation 8.94s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_50,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_52,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
cnf(c_54,negated_conjecture,
( multiply(sk_c6,sk_c5) = sk_c7
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c7
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c7) = sk_c5
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c7,sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_62,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c7,sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
cnf(c_63,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c7,sk_c2) = sk_c6
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c2
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c2
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
cnf(c_76,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( inverse(sk_c4) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(X0,sk_c7) != X1
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c5) != sk_c7
| multiply(sk_c7,X1) != sk_c6
| multiply(sk_c6,sk_c5) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c5,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| inverse(X2) != sk_c7
| inverse(X3) != sk_c5
| inverse(sk_c7) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
cnf(c_80,plain,
multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(c_81,plain,
multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c_82,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(c_83,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| multiply(X2,sk_c5) != sk_c7
| multiply(sk_c6,sk_c5) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c5,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| inverse(X1) != sk_c7
| inverse(X2) != sk_c5
| inverse(sk_c7) != sk_c5 ),
inference(unflattening,[status(thm)],[c_79]) ).
cnf(c_376,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_83]) ).
cnf(c_377,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_83]) ).
cnf(c_378,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| inverse(X0) != sk_c7
| ~ sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_83]) ).
cnf(c_379,negated_conjecture,
( multiply(sk_c6,sk_c5) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c5,sk_c7) != sk_c6
| inverse(sk_c7) != sk_c5
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).
cnf(c_380,plain,
multiply(sk_c6,sk_c5) = sP3_iProver_def,
definition ).
cnf(c_381,plain,
multiply(sk_c6,sk_c7) = sP4_iProver_def,
definition ).
cnf(c_382,plain,
multiply(sk_c5,sk_c7) = sP5_iProver_def,
definition ).
cnf(c_383,plain,
inverse(sk_c7) = sP6_iProver_def,
definition ).
cnf(c_384,plain,
inverse(sk_c4) = sP7_iProver_def,
definition ).
cnf(c_385,plain,
inverse(sk_c1) = sP8_iProver_def,
definition ).
cnf(c_386,plain,
multiply(sk_c4,sk_c5) = sP9_iProver_def,
definition ).
cnf(c_387,plain,
multiply(sk_c3,sk_c6) = sP10_iProver_def,
definition ).
cnf(c_388,plain,
inverse(sk_c3) = sP11_iProver_def,
definition ).
cnf(c_389,plain,
multiply(sk_c1,sk_c7) = sP12_iProver_def,
definition ).
cnf(c_390,plain,
multiply(sk_c7,sk_c2) = sP13_iProver_def,
definition ).
cnf(c_391,negated_conjecture,
( sP3_iProver_def != sk_c7
| sP4_iProver_def != sk_c5
| sP5_iProver_def != sk_c6
| sP6_iProver_def != sk_c5
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_379,c_383,c_382,c_381,c_380]) ).
cnf(c_392,negated_conjecture,
( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
| inverse(X0) != sk_c7
| ~ sP2_iProver_def ),
inference(demodulation,[status(thm)],[c_378]) ).
cnf(c_393,negated_conjecture,
( multiply(X0,sk_c5) != sk_c7
| inverse(X0) != sk_c5
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_377]) ).
cnf(c_394,negated_conjecture,
( multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_376]) ).
cnf(c_395,negated_conjecture,
( sP7_iProver_def = sk_c5
| sP8_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_78,c_385,c_384]) ).
cnf(c_396,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP9_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_77,c_386]) ).
cnf(c_397,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_76,c_387]) ).
cnf(c_398,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_75,c_388]) ).
cnf(c_399,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP8_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_400,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP8_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_73]) ).
cnf(c_401,negated_conjecture,
( sP7_iProver_def = sk_c5
| sP12_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_72,c_389]) ).
cnf(c_402,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP12_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_403,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP12_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_404,negated_conjecture,
( sP11_iProver_def = sk_c7
| sP12_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_405,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP12_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_68]) ).
cnf(c_406,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP12_iProver_def = sk_c2 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_407,negated_conjecture,
( sP7_iProver_def = sk_c5
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_66,c_390]) ).
cnf(c_408,negated_conjecture,
( sP9_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_409,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_410,negated_conjecture,
( sP11_iProver_def = sk_c7
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_63]) ).
cnf(c_411,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_62]) ).
cnf(c_412,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP13_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_413,negated_conjecture,
( sP6_iProver_def = sk_c5
| sP7_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_414,negated_conjecture,
( sP6_iProver_def = sk_c5
| sP9_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_418,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP6_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_419,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP7_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_420,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP9_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_421,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_52]) ).
cnf(c_422,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_423,negated_conjecture,
( sP3_iProver_def = sk_c7
| sP5_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_50]) ).
cnf(c_679,plain,
( multiply(sP5_iProver_def,sk_c5) = sP3_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_399,c_380]) ).
cnf(c_681,plain,
( multiply(sk_c6,sP7_iProver_def) = sP3_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_395,c_380]) ).
cnf(c_697,plain,
( multiply(sP5_iProver_def,sk_c7) = sP4_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_399,c_381]) ).
cnf(c_710,plain,
( multiply(sP7_iProver_def,sk_c7) = sP5_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_395,c_382]) ).
cnf(c_711,plain,
( multiply(sk_c5,sP11_iProver_def) = sP5_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_398,c_382]) ).
cnf(c_713,plain,
( multiply(sk_c5,sP9_iProver_def) = sP5_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_396,c_382]) ).
cnf(c_724,plain,
( multiply(sk_c4,sP4_iProver_def) = sP9_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_400,c_386]) ).
cnf(c_725,plain,
( multiply(sk_c4,sP7_iProver_def) = sP9_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_395,c_386]) ).
cnf(c_751,plain,
( multiply(sP13_iProver_def,sk_c7) = sP4_iProver_def
| sk_c5 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_407,c_381]) ).
cnf(c_766,plain,
( multiply(sP13_iProver_def,sk_c7) = sP4_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_408,c_381]) ).
cnf(c_810,plain,
( multiply(sk_c3,sP5_iProver_def) = sP10_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_399,c_387]) ).
cnf(c_821,plain,
( multiply(sk_c1,sP11_iProver_def) = sP12_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_398,c_389]) ).
cnf(c_823,plain,
( multiply(sk_c1,sP9_iProver_def) = sP12_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_396,c_389]) ).
cnf(c_864,plain,
multiply(sP11_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_388,c_81]) ).
cnf(c_865,plain,
multiply(sP7_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_384,c_81]) ).
cnf(c_866,plain,
multiply(sP6_iProver_def,sk_c7) = identity,
inference(superposition,[status(thm)],[c_383,c_81]) ).
cnf(c_867,plain,
multiply(sP8_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_385,c_81]) ).
cnf(c_902,plain,
( multiply(sP6_iProver_def,sP11_iProver_def) = identity
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_398,c_866]) ).
cnf(c_903,plain,
( multiply(sP6_iProver_def,sP10_iProver_def) = identity
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_397,c_866]) ).
cnf(c_904,plain,
( multiply(sP6_iProver_def,sP9_iProver_def) = identity
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_396,c_866]) ).
cnf(c_939,plain,
( multiply(sP7_iProver_def,sk_c7) = sP5_iProver_def
| sk_c5 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_413,c_382]) ).
cnf(c_962,plain,
( multiply(sP6_iProver_def,sk_c7) = sP5_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_414,c_382]) ).
cnf(c_968,plain,
( sk_c7 = sP9_iProver_def
| identity = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_962,c_866]) ).
cnf(c_1184,plain,
( multiply(sP7_iProver_def,sk_c7) = sP5_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_419,c_382]) ).
cnf(c_1217,plain,
( multiply(sP6_iProver_def,sP9_iProver_def) = identity
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_420,c_866]) ).
cnf(c_1247,plain,
( multiply(sP6_iProver_def,sP10_iProver_def) = identity
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_421,c_866]) ).
cnf(c_1248,plain,
( multiply(sP10_iProver_def,sk_c2) = sP13_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_421,c_390]) ).
cnf(c_1251,plain,
( multiply(sk_c6,sP10_iProver_def) = sP4_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_421,c_381]) ).
cnf(c_1301,plain,
( multiply(sP6_iProver_def,sP11_iProver_def) = identity
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_422,c_866]) ).
cnf(c_1352,plain,
( multiply(sk_c3,sP5_iProver_def) = sP10_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_423,c_387]) ).
cnf(c_1794,plain,
( inverse(sk_c4) != sk_c5
| sk_c7 != sP9_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_386,c_393]) ).
cnf(c_1796,plain,
( inverse(inverse(sk_c5)) != sk_c5
| sk_c7 != identity
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_81,c_393]) ).
cnf(c_1809,plain,
( sk_c5 != sP7_iProver_def
| sk_c7 != sP9_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1794,c_384]) ).
cnf(c_1909,plain,
( inverse(sk_c3) != sk_c7
| sk_c7 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_387,c_394]) ).
cnf(c_1910,plain,
( inverse(identity) != sk_c7
| sk_c6 != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_80,c_394]) ).
cnf(c_1924,plain,
( sk_c7 != sP10_iProver_def
| sk_c7 != sP11_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1909,c_388]) ).
cnf(c_2016,plain,
( multiply(sk_c7,sP12_iProver_def) != sk_c6
| inverse(sk_c1) != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_389,c_392]) ).
cnf(c_2036,plain,
( multiply(sk_c7,sP12_iProver_def) != sk_c6
| sk_c7 != sP8_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2016,c_385]) ).
cnf(c_2159,plain,
( sk_c6 != sP5_iProver_def
| sk_c5 != sP4_iProver_def
| sk_c5 != sP6_iProver_def
| sP3_iProver_def != sP9_iProver_def
| sk_c7 = sP8_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def ),
inference(superposition,[status(thm)],[c_396,c_391]) ).
cnf(c_2765,plain,
( multiply(sP5_iProver_def,sP7_iProver_def) = sP3_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_395,c_679]) ).
cnf(c_2865,plain,
multiply(sk_c6,multiply(sk_c5,X0)) = multiply(sP3_iProver_def,X0),
inference(superposition,[status(thm)],[c_380,c_82]) ).
cnf(c_2866,plain,
multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_381,c_82]) ).
cnf(c_2867,plain,
multiply(sk_c5,multiply(sk_c7,X0)) = multiply(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_382,c_82]) ).
cnf(c_2868,plain,
multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sP10_iProver_def,X0),
inference(superposition,[status(thm)],[c_387,c_82]) ).
cnf(c_2869,plain,
multiply(sk_c4,multiply(sk_c5,X0)) = multiply(sP9_iProver_def,X0),
inference(superposition,[status(thm)],[c_386,c_82]) ).
cnf(c_2873,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_2875,plain,
( multiply(sP5_iProver_def,multiply(sk_c5,X0)) = multiply(sP3_iProver_def,X0)
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_679,c_82]) ).
cnf(c_2876,plain,
multiply(sP11_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_864,c_82]) ).
cnf(c_2877,plain,
multiply(sP7_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_865,c_82]) ).
cnf(c_2878,plain,
multiply(sP6_iProver_def,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_866,c_82]) ).
cnf(c_2879,plain,
multiply(sP8_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_867,c_82]) ).
cnf(c_2884,plain,
multiply(sP8_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2879,c_80]) ).
cnf(c_2885,plain,
multiply(sP6_iProver_def,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2878,c_80]) ).
cnf(c_2886,plain,
multiply(sP7_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2877,c_80]) ).
cnf(c_2887,plain,
multiply(sP11_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2876,c_80]) ).
cnf(c_3658,plain,
( multiply(sP5_iProver_def,multiply(sk_c7,X0)) = multiply(sP4_iProver_def,X0)
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_697,c_82]) ).
cnf(c_3691,plain,
multiply(sP8_iProver_def,sP12_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_389,c_2884]) ).
cnf(c_3888,plain,
multiply(sP7_iProver_def,sP9_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_386,c_2886]) ).
cnf(c_3891,plain,
multiply(sP7_iProver_def,multiply(sP9_iProver_def,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_3888,c_82]) ).
cnf(c_3903,plain,
multiply(sP11_iProver_def,sP10_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_387,c_2887]) ).
cnf(c_4176,plain,
( multiply(sP7_iProver_def,sP9_iProver_def) = sP5_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_396,c_710]) ).
cnf(c_4179,plain,
( sk_c5 = sP5_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4176,c_3888]) ).
cnf(c_4404,plain,
( multiply(sP7_iProver_def,sP9_iProver_def) = sP4_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_724,c_2886]) ).
cnf(c_4405,plain,
( sk_c5 = sP4_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4404,c_3888]) ).
cnf(c_4414,plain,
multiply(sP11_iProver_def,multiply(sP10_iProver_def,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_3903,c_82]) ).
cnf(c_4436,plain,
( multiply(sP5_iProver_def,sP9_iProver_def) = sP5_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_4179,c_713]) ).
cnf(c_4440,plain,
( multiply(sP5_iProver_def,sP5_iProver_def) = sP3_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_4179,c_679]) ).
cnf(c_4449,plain,
( multiply(sk_c4,sP5_iProver_def) = sP9_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_4179,c_386]) ).
cnf(c_4451,plain,
( multiply(sk_c6,sP5_iProver_def) = sP3_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_4179,c_380]) ).
cnf(c_5789,plain,
( multiply(sP11_iProver_def,sP10_iProver_def) = sP5_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_810,c_2887]) ).
cnf(c_5790,plain,
( sk_c6 = sP5_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5789,c_3903]) ).
cnf(c_5803,plain,
( multiply(sP8_iProver_def,sP12_iProver_def) = sP11_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_821,c_2884]) ).
cnf(c_5804,plain,
( sk_c7 = sP8_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5803,c_3691]) ).
cnf(c_6047,plain,
( multiply(sP8_iProver_def,sP12_iProver_def) = sP9_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_823,c_2884]) ).
cnf(c_6048,plain,
( sk_c7 = sP8_iProver_def
| sk_c7 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6047,c_3691]) ).
cnf(c_7560,plain,
( multiply(sP7_iProver_def,sP9_iProver_def) = sP5_iProver_def
| sk_c5 = sP6_iProver_def
| identity = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_968,c_939]) ).
cnf(c_7614,plain,
( sk_c5 = sP5_iProver_def
| sk_c5 = sP6_iProver_def
| identity = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7560,c_3888]) ).
cnf(c_8165,plain,
( multiply(sP7_iProver_def,sP9_iProver_def) = sP5_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_420,c_1184]) ).
cnf(c_8171,plain,
( sk_c5 = sP5_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8165,c_3888]) ).
cnf(c_8388,plain,
( multiply(sk_c4,sP5_iProver_def) = sP9_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_8171,c_386]) ).
cnf(c_8390,plain,
( multiply(sk_c6,sP5_iProver_def) = sP3_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_8171,c_380]) ).
cnf(c_9407,plain,
( multiply(sP11_iProver_def,sP10_iProver_def) = sP5_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_1352,c_2887]) ).
cnf(c_9408,plain,
( sk_c6 = sP5_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_9407,c_3903]) ).
cnf(c_11633,plain,
multiply(sk_c6,sP5_iProver_def) = multiply(sP3_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_382,c_2865]) ).
cnf(c_11731,plain,
( multiply(sP3_iProver_def,sk_c7) = multiply(sP5_iProver_def,sP5_iProver_def)
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_423,c_11633]) ).
cnf(c_11739,plain,
( multiply(sP3_iProver_def,sk_c7) = multiply(sP5_iProver_def,sP5_iProver_def)
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_399,c_11633]) ).
cnf(c_12057,plain,
multiply(sk_c5,sP13_iProver_def) = multiply(sP5_iProver_def,sk_c2),
inference(superposition,[status(thm)],[c_390,c_2867]) ).
cnf(c_12234,plain,
( multiply(sP5_iProver_def,sk_c2) = multiply(sP7_iProver_def,sP13_iProver_def)
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_419,c_12057]) ).
cnf(c_12299,plain,
multiply(sk_c3,sP4_iProver_def) = multiply(sP10_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_381,c_2868]) ).
cnf(c_12307,plain,
( multiply(sk_c3,sP4_iProver_def) = multiply(sP10_iProver_def,sP10_iProver_def)
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_1251,c_2868]) ).
cnf(c_12325,plain,
multiply(sk_c3,multiply(sP3_iProver_def,sk_c7)) = multiply(sP10_iProver_def,sP5_iProver_def),
inference(superposition,[status(thm)],[c_11633,c_2868]) ).
cnf(c_12510,plain,
multiply(sP11_iProver_def,multiply(sP10_iProver_def,sk_c7)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_12299,c_2887]) ).
cnf(c_12530,plain,
multiply(sk_c4,sP5_iProver_def) = multiply(sP9_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_382,c_2869]) ).
cnf(c_12546,plain,
multiply(sk_c4,multiply(sP5_iProver_def,sk_c2)) = multiply(sP9_iProver_def,sP13_iProver_def),
inference(superposition,[status(thm)],[c_12057,c_2869]) ).
cnf(c_12702,plain,
multiply(sP7_iProver_def,multiply(sP9_iProver_def,sk_c7)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_12530,c_2886]) ).
cnf(c_13579,plain,
( multiply(sk_c6,sk_c2) = multiply(sP11_iProver_def,sP13_iProver_def)
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_1248,c_4414]) ).
cnf(c_13613,plain,
( multiply(sP9_iProver_def,sk_c7) = sP9_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4449,c_12530]) ).
cnf(c_13643,plain,
( multiply(sP9_iProver_def,sP10_iProver_def) = sP9_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_397,c_13613]) ).
cnf(c_13644,plain,
( multiply(sP9_iProver_def,sP9_iProver_def) = sP9_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_396,c_13613]) ).
cnf(c_13865,plain,
( multiply(sk_c5,sP10_iProver_def) = multiply(sP7_iProver_def,sP9_iProver_def)
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_13643,c_3891]) ).
cnf(c_13870,plain,
( multiply(sk_c5,sP10_iProver_def) = sk_c5
| sk_c7 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_13865,c_3888]) ).
cnf(c_14020,plain,
( multiply(sP3_iProver_def,sk_c7) = sP3_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4451,c_11633]) ).
cnf(c_14049,plain,
( multiply(sP3_iProver_def,sP11_iProver_def) = sP3_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_398,c_14020]) ).
cnf(c_15388,plain,
( multiply(sP9_iProver_def,sk_c7) = sP9_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8388,c_12530]) ).
cnf(c_15415,plain,
( multiply(sP9_iProver_def,sP10_iProver_def) = sP9_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_421,c_15388]) ).
cnf(c_15526,plain,
( multiply(sP3_iProver_def,sk_c7) = sP3_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8390,c_11633]) ).
cnf(c_15638,plain,
( multiply(sk_c5,sP10_iProver_def) = multiply(sP7_iProver_def,sP9_iProver_def)
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_15415,c_3891]) ).
cnf(c_15645,plain,
( multiply(sk_c5,sP10_iProver_def) = sk_c5
| sk_c7 = sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_15638,c_3888]) ).
cnf(c_16896,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2873,c_80]) ).
cnf(c_16922,plain,
multiply(inverse(sk_c6),sP3_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_380,c_16896]) ).
cnf(c_16923,plain,
multiply(inverse(sk_c6),sP4_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_381,c_16896]) ).
cnf(c_16924,plain,
multiply(inverse(sk_c5),sP5_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_382,c_16896]) ).
cnf(c_16929,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_16896]) ).
cnf(c_16930,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_16896]) ).
cnf(c_16940,plain,
( multiply(inverse(sk_c6),sP3_iProver_def) = sP7_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_681,c_16896]) ).
cnf(c_17023,plain,
multiply(inverse(sP6_iProver_def),identity) = sk_c7,
inference(superposition,[status(thm)],[c_866,c_16896]) ).
cnf(c_17024,plain,
multiply(inverse(sP8_iProver_def),identity) = sk_c1,
inference(superposition,[status(thm)],[c_867,c_16896]) ).
cnf(c_17113,plain,
( multiply(inverse(sP5_iProver_def),sP3_iProver_def) = sP7_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_2765,c_16896]) ).
cnf(c_17122,plain,
multiply(inverse(sP11_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2887,c_16896]) ).
cnf(c_17123,plain,
multiply(inverse(sP7_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2886,c_16896]) ).
cnf(c_17124,plain,
multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2885,c_16896]) ).
cnf(c_17141,plain,
( multiply(inverse(sP5_iProver_def),sP5_iProver_def) = sP9_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_4436,c_16896]) ).
cnf(c_17144,plain,
multiply(inverse(sP8_iProver_def),sk_c7) = sP12_iProver_def,
inference(superposition,[status(thm)],[c_3691,c_16896]) ).
cnf(c_17182,plain,
( multiply(inverse(sP5_iProver_def),sP3_iProver_def) = sP5_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_4440,c_16896]) ).
cnf(c_17184,plain,
multiply(inverse(sk_c6),multiply(sP3_iProver_def,sk_c7)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_11633,c_16896]) ).
cnf(c_17208,plain,
( multiply(inverse(sP9_iProver_def),sP9_iProver_def) = sP9_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_13644,c_16896]) ).
cnf(c_17210,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_16896,c_16896]) ).
cnf(c_18489,plain,
( inverse(inverse(identity)) != sk_c7
| sk_c6 != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_16929,c_394]) ).
cnf(c_18650,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm)],[c_17023,c_17124]) ).
cnf(c_18673,plain,
( multiply(sP10_iProver_def,identity) = sP10_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_421,c_18650]) ).
cnf(c_18676,plain,
( multiply(sP10_iProver_def,identity) = sP10_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_397,c_18650]) ).
cnf(c_18683,plain,
multiply(sk_c5,sk_c7) = multiply(sP5_iProver_def,identity),
inference(superposition,[status(thm)],[c_18650,c_2867]) ).
cnf(c_18690,plain,
multiply(sP5_iProver_def,identity) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_18683,c_382]) ).
cnf(c_18833,plain,
( multiply(sk_c6,identity) = multiply(sP11_iProver_def,sP10_iProver_def)
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_18673,c_4414]) ).
cnf(c_18834,plain,
( multiply(sk_c6,identity) = sk_c6
| sk_c7 = sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_18833,c_3903]) ).
cnf(c_18883,plain,
( multiply(sk_c6,identity) = multiply(sP11_iProver_def,sP10_iProver_def)
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_18676,c_4414]) ).
cnf(c_18884,plain,
( multiply(sk_c6,identity) = sk_c6
| sk_c7 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_18883,c_3903]) ).
cnf(c_19230,plain,
( multiply(sP3_iProver_def,sP11_iProver_def) = multiply(sP5_iProver_def,sP5_iProver_def)
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_711,c_2875]) ).
cnf(c_19311,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_16930,c_17210]) ).
cnf(c_19369,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_19311,c_16929]) ).
cnf(c_20029,plain,
( multiply(inverse(sP5_iProver_def),multiply(sP3_iProver_def,sk_c7)) = sP5_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_11739,c_16896]) ).
cnf(c_20351,plain,
( sk_c7 != sP9_iProver_def
| ~ sP1_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_395,c_1809]) ).
cnf(c_20414,plain,
( ~ sP1_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_20351,c_6048,c_20351]) ).
cnf(c_20731,plain,
( sk_c7 != sP11_iProver_def
| ~ sP0_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_397,c_1924]) ).
cnf(c_21160,plain,
( ~ sP0_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_20731,c_5804,c_20731]) ).
cnf(c_21237,plain,
( multiply(sk_c7,multiply(sk_c3,sk_c7)) != sk_c6
| inverse(inverse(sP11_iProver_def)) != sk_c7
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_17122,c_392]) ).
cnf(c_21238,plain,
multiply(sk_c3,sP11_iProver_def) = identity,
inference(superposition,[status(thm)],[c_17122,c_81]) ).
cnf(c_21241,plain,
( multiply(sk_c3,sk_c6) != sk_c7
| inverse(inverse(sP11_iProver_def)) != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_17122,c_394]) ).
cnf(c_21244,plain,
multiply(sk_c3,identity) = inverse(sP11_iProver_def),
inference(superposition,[status(thm)],[c_17122,c_19311]) ).
cnf(c_21254,plain,
( inverse(inverse(sP11_iProver_def)) != sk_c7
| sk_c7 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_21241,c_387]) ).
cnf(c_21422,plain,
inverse(sP11_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_21244,c_19311]) ).
cnf(c_21919,plain,
( sk_c6 != sk_c7
| sk_c7 != identity
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_1910,c_19369]) ).
cnf(c_23178,plain,
multiply(sk_c4,sP7_iProver_def) = identity,
inference(superposition,[status(thm)],[c_17123,c_81]) ).
cnf(c_23183,plain,
multiply(sk_c4,multiply(sP7_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_17123,c_16896]) ).
cnf(c_23197,plain,
( sk_c7 = sP8_iProver_def
| identity = sP9_iProver_def ),
inference(demodulation,[status(thm)],[c_725,c_23178]) ).
cnf(c_24167,plain,
( multiply(sk_c4,sP5_iProver_def) = sk_c7
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_710,c_23183]) ).
cnf(c_24177,plain,
( multiply(sk_c4,multiply(sP5_iProver_def,sk_c2)) = sP13_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_12234,c_23183]) ).
cnf(c_24194,plain,
( multiply(sP9_iProver_def,sk_c7) = sk_c7
| sk_c7 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_24167,c_12530]) ).
cnf(c_24203,plain,
( multiply(sP9_iProver_def,sP13_iProver_def) = sP13_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_24177,c_12546]) ).
cnf(c_24648,plain,
multiply(sk_c7,sP6_iProver_def) = identity,
inference(superposition,[status(thm)],[c_17124,c_81]) ).
cnf(c_24653,plain,
multiply(sk_c7,multiply(sP6_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_17124,c_16896]) ).
cnf(c_24654,plain,
multiply(sk_c7,identity) = inverse(sP6_iProver_def),
inference(superposition,[status(thm)],[c_17124,c_19311]) ).
cnf(c_24943,plain,
( multiply(sP9_iProver_def,sP6_iProver_def) = identity
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_396,c_24648]) ).
cnf(c_24945,plain,
multiply(sk_c5,identity) = multiply(sP5_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_24648,c_2867]) ).
cnf(c_24946,plain,
multiply(sk_c6,identity) = multiply(sP4_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_24648,c_2866]) ).
cnf(c_25073,plain,
inverse(sP6_iProver_def) = sk_c7,
inference(demodulation,[status(thm)],[c_24654,c_19311]) ).
cnf(c_25104,plain,
( multiply(sP10_iProver_def,multiply(sP6_iProver_def,X0)) = X0
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_421,c_24653]) ).
cnf(c_25105,plain,
( multiply(sP9_iProver_def,multiply(sP6_iProver_def,X0)) = X0
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_420,c_24653]) ).
cnf(c_25107,plain,
( multiply(sP10_iProver_def,multiply(sP6_iProver_def,X0)) = X0
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_397,c_24653]) ).
cnf(c_25108,plain,
( multiply(sP9_iProver_def,multiply(sP6_iProver_def,X0)) = X0
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_396,c_24653]) ).
cnf(c_25295,plain,
( multiply(inverse(sP9_iProver_def),identity) = sP6_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_24943,c_16896]) ).
cnf(c_25312,plain,
( multiply(sP10_iProver_def,identity) = sP11_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_1301,c_25104]) ).
cnf(c_25318,plain,
( multiply(sP10_iProver_def,identity) = sP9_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_1217,c_25104]) ).
cnf(c_25368,plain,
( multiply(sP9_iProver_def,identity) = sk_c7
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_866,c_25105]) ).
cnf(c_25370,plain,
( multiply(sP9_iProver_def,identity) = sP11_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_1301,c_25105]) ).
cnf(c_25373,plain,
( multiply(sP9_iProver_def,identity) = sP10_iProver_def
| sk_c7 = sP3_iProver_def ),
inference(superposition,[status(thm)],[c_1247,c_25105]) ).
cnf(c_25525,plain,
( multiply(sP10_iProver_def,identity) = sP11_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_902,c_25107]) ).
cnf(c_25531,plain,
( multiply(sP10_iProver_def,identity) = sP9_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_904,c_25107]) ).
cnf(c_25580,plain,
( multiply(sP9_iProver_def,identity) = sk_c7
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_866,c_25108]) ).
cnf(c_25583,plain,
( multiply(sP9_iProver_def,identity) = sP11_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_902,c_25108]) ).
cnf(c_25586,plain,
( multiply(sP9_iProver_def,identity) = sP10_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_903,c_25108]) ).
cnf(c_25650,plain,
( multiply(sP4_iProver_def,sP6_iProver_def) = multiply(sP5_iProver_def,identity)
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_24648,c_3658]) ).
cnf(c_25699,plain,
( multiply(sP4_iProver_def,sP6_iProver_def) = sP5_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(light_normalisation,[status(thm)],[c_25650,c_18690]) ).
cnf(c_25927,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_25699,c_25586,c_25583,c_25580,c_25531,c_25525,c_25373,c_25370,c_25368,c_25318,c_25312,c_25295,c_25073,c_24946,c_24945,c_24654,c_24648,c_24203,c_24194,c_23197,c_23178,c_21919,c_21422,c_21254,c_21237,c_21244,c_21238,c_21160,c_20414,c_20029,c_19369,c_19230,c_18884,c_18834,c_18690,c_18489,c_17208,c_17184,c_17182,c_17144,c_17141,c_17113,c_17024,c_16940,c_16924,c_16923,c_16922,c_15645,c_15526,c_14049,c_14020,c_13870,c_13579,c_12702,c_12510,c_12325,c_12307,c_12299,c_11731,c_11633,c_9408,c_7614,c_5804,c_5790,c_4405,c_3903,c_3888,c_3691,c_2159,c_2036,c_1809,c_1796,c_866,c_766,c_751,c_418,c_412,c_411,c_410,c_409,c_406,c_405,c_404,c_403,c_402,c_401,c_391,c_390,c_388,c_387,c_386,c_385,c_383,c_382,c_381,c_380]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP361-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n002.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 00:00:42 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 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
% 8.94/2.18 % SZS status Started for theBenchmark.p
% 8.94/2.18 % SZS status Unsatisfiable for theBenchmark.p
% 8.94/2.18
% 8.94/2.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.94/2.18
% 8.94/2.18 ------ iProver source info
% 8.94/2.18
% 8.94/2.18 git: date: 2024-05-02 19:28:25 +0000
% 8.94/2.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.94/2.18 git: non_committed_changes: false
% 8.94/2.18
% 8.94/2.18 ------ Parsing...successful
% 8.94/2.18
% 8.94/2.18
% 8.94/2.18
% 8.94/2.18 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.94/2.18
% 8.94/2.18 ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.94/2.18
% 8.94/2.18 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.94/2.18 ------ Proving...
% 8.94/2.18 ------ Problem Properties
% 8.94/2.18
% 8.94/2.18
% 8.94/2.18 clauses 48
% 8.94/2.18 conjectures 34
% 8.94/2.18 EPR 31
% 8.94/2.18 Horn 17
% 8.94/2.18 unary 14
% 8.94/2.18 binary 30
% 8.94/2.18 lits 90
% 8.94/2.18 lits eq 84
% 8.94/2.18 fd_pure 0
% 8.94/2.18 fd_pseudo 0
% 8.94/2.18 fd_cond 0
% 8.94/2.18 fd_pseudo_cond 0
% 8.94/2.18 AC symbols 0
% 8.94/2.18
% 8.94/2.18 ------ Schedule dynamic 5 is on
% 8.94/2.18
% 8.94/2.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.94/2.18
% 8.94/2.18
% 8.94/2.18 ------
% 8.94/2.18 Current options:
% 8.94/2.18 ------
% 8.94/2.18
% 8.94/2.18
% 8.94/2.18
% 8.94/2.18
% 8.94/2.18 ------ Proving...
% 8.94/2.18
% 8.94/2.18
% 8.94/2.18 % SZS status Unsatisfiable for theBenchmark.p
% 8.94/2.18
% 8.94/2.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.94/2.18
% 8.94/2.18
%------------------------------------------------------------------------------