TSTP Solution File: GRP295-1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GRP295-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.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 02:22:04 EDT 2024
% Result : Unsatisfiable 8.23s 1.65s
% Output : CNFRefutation 8.23s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
cnf(c_50,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
cnf(c_51,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
cnf(c_53,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c5
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
cnf(c_55,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
cnf(c_56,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
cnf(c_57,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
cnf(c_58,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
cnf(c_59,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
cnf(c_60,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
cnf(c_61,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
cnf(c_64,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
cnf(c_65,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
cnf(c_66,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
cnf(c_67,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
cnf(c_68,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c4,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
cnf(c_69,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c2,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
cnf(c_70,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c5
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
cnf(c_71,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
cnf(c_72,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c5
| inverse(sk_c4) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
cnf(c_73,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
cnf(c_74,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
cnf(c_75,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = 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_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
cnf(c_77,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
cnf(c_78,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
cnf(c_79,negated_conjecture,
( multiply(X0,sk_c7) != sk_c6
| multiply(X1,sk_c7) != sk_c5
| multiply(X2,sk_c6) != sk_c7
| multiply(X3,sk_c5) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5
| multiply(sk_c7,sk_c5) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c7
| inverse(X1) != sk_c7
| inverse(X2) != sk_c7
| inverse(X3) != sk_c6 ),
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_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_c7) != sk_c5
| inverse(X0) != sk_c7
| ~ 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_c7,sk_c6) != sk_c5
| multiply(sk_c7,sk_c5) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5
| 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_c7,sk_c6) = sP4_iProver_def,
definition ).
cnf(c_385,plain,
multiply(sk_c7,sk_c5) = sP5_iProver_def,
definition ).
cnf(c_386,plain,
multiply(sk_c6,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_c7) = 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_c6
| sP6_iProver_def != sk_c5
| 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_c7) != sk_c5
| inverse(X0) != sk_c7
| ~ 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_c7 ),
inference(demodulation,[status(thm)],[c_78,c_388,c_387]) ).
cnf(c_401,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_77,c_389]) ).
cnf(c_402,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_76,c_390]) ).
cnf(c_403,negated_conjecture,
( sP8_iProver_def = sk_c7
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_75,c_391]) ).
cnf(c_404,negated_conjecture,
( sP6_iProver_def = sk_c5
| sP8_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_74]) ).
cnf(c_405,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP12_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_73,c_392]) ).
cnf(c_406,negated_conjecture,
( sP9_iProver_def = sk_c6
| sP12_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_72]) ).
cnf(c_407,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP12_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_71]) ).
cnf(c_408,negated_conjecture,
( sP11_iProver_def = sk_c7
| sP12_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_70]) ).
cnf(c_409,negated_conjecture,
( sP6_iProver_def = sk_c5
| sP12_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_69]) ).
cnf(c_410,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP7_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_68]) ).
cnf(c_411,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP9_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_67]) ).
cnf(c_412,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_66]) ).
cnf(c_413,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP11_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_65]) ).
cnf(c_414,negated_conjecture,
( sP5_iProver_def = sk_c6
| sP6_iProver_def = sk_c5 ),
inference(demodulation,[status(thm)],[c_64]) ).
cnf(c_417,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP13_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_61]) ).
cnf(c_418,negated_conjecture,
( sP11_iProver_def = sk_c7
| sP13_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_60]) ).
cnf(c_419,negated_conjecture,
( sP6_iProver_def = sk_c5
| sP13_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_59]) ).
cnf(c_420,negated_conjecture,
( sP7_iProver_def = sk_c6
| sP14_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_58,c_394]) ).
cnf(c_421,negated_conjecture,
( sP9_iProver_def = sk_c6
| sP14_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_57]) ).
cnf(c_422,negated_conjecture,
( sP10_iProver_def = sk_c7
| sP14_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_56]) ).
cnf(c_423,negated_conjecture,
( sP11_iProver_def = sk_c7
| sP14_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_55]) ).
cnf(c_424,negated_conjecture,
( sP6_iProver_def = sk_c5
| sP14_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_54]) ).
cnf(c_425,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP7_iProver_def = sk_c6 ),
inference(demodulation,[status(thm)],[c_53]) ).
cnf(c_427,negated_conjecture,
( sP4_iProver_def = sk_c5
| sP10_iProver_def = sk_c7 ),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_428,negated_conjecture,
( sP4_iProver_def = sk_c5
| 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_c5 ),
inference(demodulation,[status(thm)],[c_49]) ).
cnf(c_712,plain,
( multiply(sk_c7,sP12_iProver_def) = sP5_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_407,c_385]) ).
cnf(c_713,plain,
( multiply(sk_c7,sP12_iProver_def) = sP5_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_406,c_385]) ).
cnf(c_740,plain,
( multiply(sk_c4,sP12_iProver_def) = sP7_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_407,c_387]) ).
cnf(c_741,plain,
( multiply(sk_c4,sP12_iProver_def) = sP7_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_406,c_387]) ).
cnf(c_742,plain,
( multiply(sk_c4,sP12_iProver_def) = sP7_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_405,c_387]) ).
cnf(c_743,plain,
( multiply(sk_c4,sP6_iProver_def) = sP7_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_404,c_387]) ).
cnf(c_772,plain,
( multiply(sk_c4,sP12_iProver_def) = sP7_iProver_def
| sk_c5 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_409,c_387]) ).
cnf(c_788,plain,
( multiply(sk_c7,sP7_iProver_def) = sP4_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_410,c_384]) ).
cnf(c_804,plain,
( multiply(sP9_iProver_def,sk_c7) = sP6_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_411,c_386]) ).
cnf(c_892,plain,
( multiply(sk_c4,sP6_iProver_def) = sP7_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_414,c_387]) ).
cnf(c_893,plain,
( multiply(sk_c7,sP6_iProver_def) = sP5_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_414,c_385]) ).
cnf(c_960,plain,
( multiply(sk_c3,sP5_iProver_def) = sP10_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_413,c_390]) ).
cnf(c_961,plain,
( multiply(sk_c3,sP5_iProver_def) = sP10_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_412,c_390]) ).
cnf(c_964,plain,
( multiply(sk_c3,sP9_iProver_def) = sP10_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_401,c_390]) ).
cnf(c_965,plain,
( multiply(sk_c3,sP7_iProver_def) = sP10_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_400,c_390]) ).
cnf(c_992,plain,
( multiply(sk_c2,sP10_iProver_def) = sP12_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_402,c_392]) ).
cnf(c_1008,plain,
multiply(sP11_iProver_def,sk_c3) = identity,
inference(superposition,[status(thm)],[c_391,c_81]) ).
cnf(c_1009,plain,
multiply(sP9_iProver_def,sk_c4) = identity,
inference(superposition,[status(thm)],[c_389,c_81]) ).
cnf(c_1010,plain,
multiply(sP13_iProver_def,sk_c1) = identity,
inference(superposition,[status(thm)],[c_393,c_81]) ).
cnf(c_1011,plain,
multiply(sP8_iProver_def,sk_c2) = identity,
inference(superposition,[status(thm)],[c_388,c_81]) ).
cnf(c_1077,plain,
( multiply(sk_c1,sP13_iProver_def) = sP14_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_417,c_394]) ).
cnf(c_1080,plain,
( multiply(sP13_iProver_def,sk_c5) = sP5_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_417,c_385]) ).
cnf(c_1081,plain,
( multiply(sP13_iProver_def,sk_c6) = sP4_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_417,c_384]) ).
cnf(c_1352,plain,
( multiply(sk_c3,sP14_iProver_def) = sP10_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_422,c_390]) ).
cnf(c_1358,plain,
( multiply(sP14_iProver_def,sk_c7) = sP6_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_422,c_386]) ).
cnf(c_1359,plain,
( multiply(sk_c7,sP14_iProver_def) = sP4_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_422,c_384]) ).
cnf(c_1563,plain,
( sk_c6 = sP7_iProver_def
| sP4_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_425,c_405]) ).
cnf(c_1732,plain,
( multiply(sk_c4,sP4_iProver_def) = sP7_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_427,c_387]) ).
cnf(c_2179,plain,
( inverse(sk_c1) != sk_c7
| sk_c6 != sP14_iProver_def
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_394,c_396]) ).
cnf(c_2182,plain,
( inverse(inverse(sk_c7)) != sk_c7
| sk_c6 != identity
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_81,c_396]) ).
cnf(c_2197,plain,
( sk_c7 != sP13_iProver_def
| sk_c6 != sP14_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2179,c_393]) ).
cnf(c_2287,plain,
( inverse(sk_c4) != sk_c6
| sk_c6 != sP7_iProver_def
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_387,c_397]) ).
cnf(c_2311,plain,
( sk_c6 != sP7_iProver_def
| sk_c6 != sP9_iProver_def
| ~ sP2_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2287,c_389]) ).
cnf(c_2445,plain,
( inverse(sk_c6) != sk_c7
| sk_c5 != sP6_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_386,c_398]) ).
cnf(c_2446,plain,
( inverse(sk_c1) != sk_c7
| sk_c5 != sP14_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_394,c_398]) ).
cnf(c_2447,plain,
( inverse(sk_c2) != sk_c7
| sk_c5 != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_392,c_398]) ).
cnf(c_2448,plain,
( inverse(identity) != sk_c7
| sk_c7 != sk_c5
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_80,c_398]) ).
cnf(c_2460,plain,
( sk_c7 != sP8_iProver_def
| sk_c5 != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2447,c_388]) ).
cnf(c_2464,plain,
( sk_c7 != sP13_iProver_def
| sk_c5 != sP14_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2446,c_393]) ).
cnf(c_2569,plain,
( inverse(sk_c3) != sk_c7
| sk_c7 != sP10_iProver_def
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_390,c_399]) ).
cnf(c_2588,plain,
( sk_c7 != sP10_iProver_def
| sk_c7 != sP11_iProver_def
| ~ sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2569,c_391]) ).
cnf(c_2772,plain,
( sk_c6 != sP5_iProver_def
| sk_c5 != sP6_iProver_def
| sP4_iProver_def != sP6_iProver_def
| sk_c7 = sP8_iProver_def
| sP0_iProver_def
| sP1_iProver_def
| sP2_iProver_def
| sP3_iProver_def ),
inference(superposition,[status(thm)],[c_404,c_395]) ).
cnf(c_3192,plain,
multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_384,c_82]) ).
cnf(c_3193,plain,
multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sP6_iProver_def,X0),
inference(superposition,[status(thm)],[c_386,c_82]) ).
cnf(c_3194,plain,
multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sP10_iProver_def,X0),
inference(superposition,[status(thm)],[c_390,c_82]) ).
cnf(c_3196,plain,
multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sP14_iProver_def,X0),
inference(superposition,[status(thm)],[c_394,c_82]) ).
cnf(c_3198,plain,
multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sP12_iProver_def,X0),
inference(superposition,[status(thm)],[c_392,c_82]) ).
cnf(c_3200,plain,
multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_81,c_82]) ).
cnf(c_3202,plain,
multiply(sP11_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1008,c_82]) ).
cnf(c_3203,plain,
multiply(sP9_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1009,c_82]) ).
cnf(c_3204,plain,
multiply(sP13_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1010,c_82]) ).
cnf(c_3205,plain,
multiply(sP8_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1011,c_82]) ).
cnf(c_3211,plain,
multiply(sP8_iProver_def,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3205,c_80]) ).
cnf(c_3212,plain,
multiply(sP13_iProver_def,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3204,c_80]) ).
cnf(c_3213,plain,
multiply(sP9_iProver_def,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3203,c_80]) ).
cnf(c_3214,plain,
multiply(sP11_iProver_def,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3202,c_80]) ).
cnf(c_3599,plain,
multiply(sP8_iProver_def,sP12_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_392,c_3211]) ).
cnf(c_3967,plain,
( multiply(sP13_iProver_def,sP12_iProver_def) = sP5_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_417,c_712]) ).
cnf(c_4086,plain,
multiply(sP13_iProver_def,sP14_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_394,c_3212]) ).
cnf(c_4131,plain,
multiply(sP9_iProver_def,sP7_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_387,c_3213]) ).
cnf(c_4136,plain,
multiply(sP11_iProver_def,sP10_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_390,c_3214]) ).
cnf(c_4514,plain,
( multiply(sP9_iProver_def,sP7_iProver_def) = sP12_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_740,c_3213]) ).
cnf(c_4515,plain,
( sk_c7 = sP10_iProver_def
| sk_c5 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4514,c_4131]) ).
cnf(c_4557,plain,
( multiply(sP9_iProver_def,sP7_iProver_def) = sP12_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_741,c_3213]) ).
cnf(c_4558,plain,
( sk_c6 = sP9_iProver_def
| sk_c5 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4557,c_4131]) ).
cnf(c_4630,plain,
( multiply(sP9_iProver_def,sP7_iProver_def) = sP12_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_742,c_3213]) ).
cnf(c_4631,plain,
( sk_c6 = sP7_iProver_def
| sk_c5 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4630,c_4131]) ).
cnf(c_4642,plain,
( multiply(sP9_iProver_def,sP7_iProver_def) = sP6_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_743,c_3213]) ).
cnf(c_4643,plain,
( sk_c7 = sP8_iProver_def
| sk_c5 = sP6_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4642,c_4131]) ).
cnf(c_4827,plain,
( multiply(sP9_iProver_def,sP7_iProver_def) = sP12_iProver_def
| sk_c5 = sP6_iProver_def ),
inference(superposition,[status(thm)],[c_772,c_3213]) ).
cnf(c_4828,plain,
( sk_c5 = sP6_iProver_def
| sk_c5 = sP12_iProver_def ),
inference(light_normalisation,[status(thm)],[c_4827,c_4131]) ).
cnf(c_5818,plain,
( multiply(sP11_iProver_def,sP10_iProver_def) = sP5_iProver_def
| sk_c7 = sP11_iProver_def ),
inference(superposition,[status(thm)],[c_960,c_3214]) ).
cnf(c_5819,plain,
( sk_c7 = sP11_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5818,c_4136]) ).
cnf(c_5830,plain,
( multiply(sP11_iProver_def,sP10_iProver_def) = sP5_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_961,c_3214]) ).
cnf(c_5831,plain,
( sk_c7 = sP10_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5830,c_4136]) ).
cnf(c_5866,plain,
( multiply(sP11_iProver_def,sP10_iProver_def) = sP9_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_964,c_3214]) ).
cnf(c_5867,plain,
( sk_c7 = sP8_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5866,c_4136]) ).
cnf(c_5878,plain,
( multiply(sP11_iProver_def,sP10_iProver_def) = sP7_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_965,c_3214]) ).
cnf(c_5879,plain,
( sk_c7 = sP8_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5878,c_4136]) ).
cnf(c_5902,plain,
( multiply(sP8_iProver_def,sP12_iProver_def) = sP10_iProver_def
| sk_c7 = sP8_iProver_def ),
inference(superposition,[status(thm)],[c_992,c_3211]) ).
cnf(c_5903,plain,
( sk_c7 = sP8_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_5902,c_3599]) ).
cnf(c_6187,plain,
( multiply(sP13_iProver_def,sP14_iProver_def) = sP13_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1077,c_3212]) ).
cnf(c_6188,plain,
( sk_c7 = sP10_iProver_def
| sk_c7 = sP13_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6187,c_4086]) ).
cnf(c_6303,plain,
( multiply(sP13_iProver_def,sP14_iProver_def) = sP4_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_422,c_1081]) ).
cnf(c_6316,plain,
( sk_c7 = sP4_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_6303,c_4086]) ).
cnf(c_7555,plain,
( multiply(sP11_iProver_def,sP10_iProver_def) = sP14_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1352,c_3214]) ).
cnf(c_7556,plain,
( sk_c7 = sP10_iProver_def
| sk_c6 = sP14_iProver_def ),
inference(light_normalisation,[status(thm)],[c_7555,c_4136]) ).
cnf(c_8277,plain,
( multiply(sP9_iProver_def,sP7_iProver_def) = sP4_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1732,c_3213]) ).
cnf(c_8278,plain,
( sk_c7 = sP10_iProver_def
| sk_c5 = sP4_iProver_def ),
inference(light_normalisation,[status(thm)],[c_8277,c_4131]) ).
cnf(c_10955,plain,
multiply(sk_c7,sP6_iProver_def) = multiply(sP4_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_386,c_3192]) ).
cnf(c_11026,plain,
( multiply(sP4_iProver_def,sk_c7) = sP5_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(demodulation,[status(thm)],[c_893,c_10955]) ).
cnf(c_11206,plain,
multiply(sk_c6,sP4_iProver_def) = multiply(sP6_iProver_def,sk_c6),
inference(superposition,[status(thm)],[c_384,c_3193]) ).
cnf(c_11207,plain,
multiply(sk_c6,sP5_iProver_def) = multiply(sP6_iProver_def,sk_c5),
inference(superposition,[status(thm)],[c_385,c_3193]) ).
cnf(c_11510,plain,
( multiply(sP6_iProver_def,sk_c5) = multiply(sP14_iProver_def,sP5_iProver_def)
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_422,c_11207]) ).
cnf(c_11516,plain,
( multiply(sP5_iProver_def,sP5_iProver_def) = multiply(sP6_iProver_def,sk_c5)
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_412,c_11207]) ).
cnf(c_11583,plain,
multiply(sk_c3,sP6_iProver_def) = multiply(sP10_iProver_def,sk_c7),
inference(superposition,[status(thm)],[c_386,c_3194]) ).
cnf(c_11594,plain,
multiply(sk_c3,multiply(sP6_iProver_def,sk_c6)) = multiply(sP10_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_11206,c_3194]) ).
cnf(c_11705,plain,
multiply(sP11_iProver_def,multiply(sP10_iProver_def,sk_c7)) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_11583,c_3214]) ).
cnf(c_11742,plain,
multiply(sk_c1,sP4_iProver_def) = multiply(sP14_iProver_def,sk_c6),
inference(superposition,[status(thm)],[c_384,c_3196]) ).
cnf(c_11743,plain,
multiply(sk_c1,sP5_iProver_def) = multiply(sP14_iProver_def,sk_c5),
inference(superposition,[status(thm)],[c_385,c_3196]) ).
cnf(c_12031,plain,
multiply(sk_c2,sP4_iProver_def) = multiply(sP12_iProver_def,sk_c6),
inference(superposition,[status(thm)],[c_384,c_3198]) ).
cnf(c_12032,plain,
multiply(sk_c2,sP5_iProver_def) = multiply(sP12_iProver_def,sk_c5),
inference(superposition,[status(thm)],[c_385,c_3198]) ).
cnf(c_12044,plain,
( multiply(sk_c2,sP5_iProver_def) = multiply(sP12_iProver_def,sP12_iProver_def)
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_712,c_3198]) ).
cnf(c_12045,plain,
multiply(sk_c2,multiply(sP4_iProver_def,sk_c7)) = multiply(sP12_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_10955,c_3198]) ).
cnf(c_12332,plain,
multiply(sP8_iProver_def,multiply(sP12_iProver_def,sk_c6)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_12031,c_3211]) ).
cnf(c_12335,plain,
multiply(sP8_iProver_def,multiply(sP12_iProver_def,sk_c5)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_12032,c_3211]) ).
cnf(c_15469,plain,
multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3200,c_80]) ).
cnf(c_15474,plain,
multiply(inverse(sk_c7),sP4_iProver_def) = sk_c6,
inference(superposition,[status(thm)],[c_384,c_15469]) ).
cnf(c_15475,plain,
multiply(inverse(sk_c6),sP6_iProver_def) = sk_c7,
inference(superposition,[status(thm)],[c_386,c_15469]) ).
cnf(c_15479,plain,
multiply(inverse(sk_c7),sP5_iProver_def) = sk_c5,
inference(superposition,[status(thm)],[c_385,c_15469]) ).
cnf(c_15481,plain,
multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_80,c_15469]) ).
cnf(c_15482,plain,
multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_81,c_15469]) ).
cnf(c_15498,plain,
( multiply(inverse(sk_c7),sP4_iProver_def) = sP7_iProver_def
| sk_c6 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_788,c_15469]) ).
cnf(c_15513,plain,
multiply(inverse(sk_c7),multiply(sP4_iProver_def,sk_c7)) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_10955,c_15469]) ).
cnf(c_15602,plain,
( multiply(inverse(sk_c7),sP4_iProver_def) = sP14_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1359,c_15469]) ).
cnf(c_15631,plain,
multiply(inverse(sP11_iProver_def),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_3214,c_15469]) ).
cnf(c_15632,plain,
multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_3213,c_15469]) ).
cnf(c_15633,plain,
multiply(inverse(sP13_iProver_def),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_3212,c_15469]) ).
cnf(c_15634,plain,
multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_3211,c_15469]) ).
cnf(c_15680,plain,
multiply(inverse(sk_c6),multiply(sP6_iProver_def,sk_c6)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_11206,c_15469]) ).
cnf(c_15694,plain,
multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_15469,c_15469]) ).
cnf(c_17368,plain,
multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_15482,c_15694]) ).
cnf(c_17394,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_17368,c_15481]) ).
cnf(c_17720,plain,
( sk_c6 != sP14_iProver_def
| ~ sP3_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_417,c_2197]) ).
cnf(c_17782,plain,
( ~ sP3_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_17720,c_7556,c_17720]) ).
cnf(c_17807,plain,
( sk_c6 != sP9_iProver_def
| ~ sP2_iProver_def
| sP4_iProver_def = sP12_iProver_def ),
inference(superposition,[status(thm)],[c_1563,c_2311]) ).
cnf(c_18146,plain,
( sk_c5 != sP14_iProver_def
| ~ sP1_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_417,c_2464]) ).
cnf(c_18256,plain,
( ~ sP1_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_18146,c_2460,c_4515,c_5903]) ).
cnf(c_18808,plain,
( multiply(sk_c3,sk_c7) != sk_c5
| inverse(inverse(sP11_iProver_def)) != sk_c7
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_15631,c_398]) ).
cnf(c_18810,plain,
multiply(sk_c3,sP11_iProver_def) = identity,
inference(superposition,[status(thm)],[c_15631,c_81]) ).
cnf(c_18816,plain,
multiply(sk_c3,identity) = inverse(sP11_iProver_def),
inference(superposition,[status(thm)],[c_15631,c_17368]) ).
cnf(c_18886,plain,
inverse(sP11_iProver_def) = sk_c3,
inference(demodulation,[status(thm)],[c_18816,c_17368]) ).
cnf(c_19032,plain,
( multiply(sP5_iProver_def,sP5_iProver_def) = multiply(sP6_iProver_def,sP4_iProver_def)
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_427,c_11516]) ).
cnf(c_19040,plain,
( multiply(sP5_iProver_def,sP5_iProver_def) = multiply(sP6_iProver_def,sP12_iProver_def)
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_407,c_11516]) ).
cnf(c_19046,plain,
( multiply(sP5_iProver_def,sP5_iProver_def) != sk_c6
| inverse(sP6_iProver_def) != sk_c6
| ~ sP2_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_11516,c_397]) ).
cnf(c_19190,plain,
multiply(sk_c4,multiply(sP9_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_15632,c_15469]) ).
cnf(c_19191,plain,
multiply(sk_c4,identity) = inverse(sP9_iProver_def),
inference(superposition,[status(thm)],[c_15632,c_17368]) ).
cnf(c_19213,plain,
inverse(sP9_iProver_def) = sk_c4,
inference(demodulation,[status(thm)],[c_19191,c_17368]) ).
cnf(c_19219,plain,
( multiply(sk_c4,sP6_iProver_def) = sk_c7
| sk_c6 = sP5_iProver_def ),
inference(superposition,[status(thm)],[c_804,c_19190]) ).
cnf(c_19388,plain,
( multiply(sk_c1,sk_c7) != sk_c6
| inverse(inverse(sP13_iProver_def)) != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_15633,c_396]) ).
cnf(c_19389,plain,
multiply(sk_c1,sP13_iProver_def) = identity,
inference(superposition,[status(thm)],[c_15633,c_81]) ).
cnf(c_19392,plain,
( multiply(sk_c1,sk_c6) != sk_c7
| inverse(inverse(sP13_iProver_def)) != sk_c7
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_15633,c_399]) ).
cnf(c_19394,plain,
multiply(sk_c1,multiply(sP13_iProver_def,X0)) = X0,
inference(superposition,[status(thm)],[c_15633,c_15469]) ).
cnf(c_19395,plain,
multiply(sk_c1,identity) = inverse(sP13_iProver_def),
inference(superposition,[status(thm)],[c_15633,c_17368]) ).
cnf(c_19410,plain,
( inverse(inverse(sP13_iProver_def)) != sk_c7
| sk_c6 != sP14_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_19388,c_394]) ).
cnf(c_19420,plain,
( sk_c7 = sP10_iProver_def
| identity = sP14_iProver_def ),
inference(demodulation,[status(thm)],[c_1077,c_19389]) ).
cnf(c_19484,plain,
inverse(sP13_iProver_def) = sk_c1,
inference(demodulation,[status(thm)],[c_19395,c_17368]) ).
cnf(c_19512,plain,
( multiply(sk_c1,sP5_iProver_def) = sk_c5
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1080,c_19394]) ).
cnf(c_19515,plain,
( multiply(sk_c1,sP4_iProver_def) = sk_c6
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_1081,c_19394]) ).
cnf(c_19517,plain,
( multiply(sk_c1,sP5_iProver_def) = sP12_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_3967,c_19394]) ).
cnf(c_19551,plain,
( multiply(sP14_iProver_def,sk_c5) = sP12_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_19517,c_11743]) ).
cnf(c_19557,plain,
( multiply(sP14_iProver_def,sk_c6) = sk_c6
| sk_c7 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_19515,c_11742]) ).
cnf(c_19566,plain,
( multiply(sP14_iProver_def,sk_c5) = sk_c5
| sk_c7 = sP10_iProver_def ),
inference(light_normalisation,[status(thm)],[c_19512,c_11743]) ).
cnf(c_19630,plain,
( multiply(inverse(sP6_iProver_def),multiply(sP5_iProver_def,sP5_iProver_def)) = sP4_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_19032,c_15469]) ).
cnf(c_19643,plain,
( multiply(inverse(sP6_iProver_def),multiply(sP5_iProver_def,sP5_iProver_def)) = sP12_iProver_def
| sk_c7 = sP10_iProver_def ),
inference(superposition,[status(thm)],[c_19040,c_15469]) ).
cnf(c_20033,plain,
( inverse(sk_c6) != sk_c7
| ~ sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_2445,c_2460,c_2445,c_4643,c_4828]) ).
cnf(c_20056,plain,
( inverse(sP14_iProver_def) != sk_c7
| ~ sP1_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(superposition,[status(thm)],[c_421,c_20033]) ).
cnf(c_20057,plain,
( inverse(sP14_iProver_def) != sk_c7
| ~ sP1_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(superposition,[status(thm)],[c_420,c_20033]) ).
cnf(c_20152,plain,
( ~ sP1_iProver_def
| sk_c6 = sP9_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_20056,c_2460,c_4558,c_5867]) ).
cnf(c_21847,plain,
( multiply(sk_c2,sk_c7) != sk_c5
| inverse(inverse(sP8_iProver_def)) != sk_c7
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_15634,c_398]) ).
cnf(c_21848,plain,
( multiply(sk_c2,sk_c7) != sk_c6
| inverse(inverse(sP8_iProver_def)) != sk_c7
| ~ sP3_iProver_def ),
inference(superposition,[status(thm)],[c_15634,c_396]) ).
cnf(c_21849,plain,
multiply(sk_c2,sP8_iProver_def) = identity,
inference(superposition,[status(thm)],[c_15634,c_81]) ).
cnf(c_21853,plain,
( multiply(sk_c2,sk_c5) != sk_c6
| inverse(inverse(sP8_iProver_def)) != sk_c6
| ~ sP2_iProver_def ),
inference(superposition,[status(thm)],[c_15634,c_397]) ).
cnf(c_21855,plain,
multiply(sk_c2,identity) = inverse(sP8_iProver_def),
inference(superposition,[status(thm)],[c_15634,c_17368]) ).
cnf(c_21862,plain,
( inverse(inverse(sP8_iProver_def)) != sk_c7
| sk_c6 != sP12_iProver_def
| ~ sP3_iProver_def ),
inference(light_normalisation,[status(thm)],[c_21848,c_392]) ).
cnf(c_21866,plain,
( inverse(inverse(sP8_iProver_def)) != sk_c7
| sk_c5 != sP12_iProver_def
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_21847,c_392]) ).
cnf(c_21935,plain,
inverse(sP8_iProver_def) = sk_c2,
inference(demodulation,[status(thm)],[c_21855,c_17368]) ).
cnf(c_21973,plain,
( ~ sP1_iProver_def
| sk_c6 = sP7_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_20057,c_2460,c_4631,c_5879]) ).
cnf(c_21999,plain,
( sk_c7 != sk_c5
| sk_c7 != identity
| ~ sP1_iProver_def ),
inference(light_normalisation,[status(thm)],[c_2448,c_17394]) ).
cnf(c_29098,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_21999,c_21973,c_21935,c_21866,c_21862,c_21853,c_21849,c_20152,c_19643,c_19630,c_19566,c_19557,c_19551,c_19484,c_19420,c_19410,c_19392,c_19389,c_19219,c_19213,c_19046,c_18886,c_18808,c_18810,c_18256,c_17807,c_17782,c_17394,c_15680,c_15602,c_15513,c_15498,c_15479,c_15475,c_15474,c_12335,c_12332,c_12045,c_12044,c_12032,c_12031,c_11743,c_11705,c_11594,c_11510,c_11207,c_11206,c_11026,c_10955,c_8278,c_6316,c_6188,c_5831,c_5819,c_4136,c_4131,c_4086,c_3599,c_2772,c_2588,c_2311,c_2182,c_1358,c_892,c_713,c_429,c_428,c_424,c_423,c_419,c_418,c_409,c_408,c_404,c_403,c_402,c_401,c_400,c_395,c_394,c_393,c_392,c_391,c_390,c_388,c_387,c_385,c_384]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP295-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 23:42:59 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
% 8.23/1.65 % SZS status Started for theBenchmark.p
% 8.23/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 8.23/1.65
% 8.23/1.65 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 8.23/1.65
% 8.23/1.65 ------ iProver source info
% 8.23/1.65
% 8.23/1.65 git: date: 2024-05-02 19:28:25 +0000
% 8.23/1.65 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 8.23/1.65 git: non_committed_changes: false
% 8.23/1.65
% 8.23/1.65 ------ Parsing...successful
% 8.23/1.65
% 8.23/1.65
% 8.23/1.65
% 8.23/1.65 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 8.23/1.65
% 8.23/1.65 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 8.23/1.65
% 8.23/1.65 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.23/1.65 ------ Proving...
% 8.23/1.65 ------ Problem Properties
% 8.23/1.65
% 8.23/1.65
% 8.23/1.65 clauses 49
% 8.23/1.65 conjectures 35
% 8.23/1.65 EPR 31
% 8.23/1.65 Horn 18
% 8.23/1.65 unary 14
% 8.23/1.65 binary 30
% 8.23/1.65 lits 93
% 8.23/1.65 lits eq 85
% 8.23/1.65 fd_pure 0
% 8.23/1.65 fd_pseudo 0
% 8.23/1.65 fd_cond 0
% 8.23/1.65 fd_pseudo_cond 0
% 8.23/1.65 AC symbols 0
% 8.23/1.65
% 8.23/1.65 ------ Schedule dynamic 5 is on
% 8.23/1.65
% 8.23/1.65 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.23/1.65
% 8.23/1.65
% 8.23/1.65 ------
% 8.23/1.65 Current options:
% 8.23/1.65 ------
% 8.23/1.65
% 8.23/1.65
% 8.23/1.65
% 8.23/1.65
% 8.23/1.65 ------ Proving...
% 8.23/1.65
% 8.23/1.65
% 8.23/1.65 % SZS status Unsatisfiable for theBenchmark.p
% 8.23/1.65
% 8.23/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.23/1.65
% 8.23/1.66
%------------------------------------------------------------------------------