TSTP Solution File: GRP212-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP212-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 06:58:43 EDT 2024

% Result   : Unsatisfiable 7.97s 1.67s
% Output   : CNFRefutation 7.97s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( multiply(sk_c1,sk_c2) = sk_c8
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

cnf(c_50,negated_conjecture,
    ( multiply(sk_c1,sk_c2) = sk_c8
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

cnf(c_51,negated_conjecture,
    ( multiply(sk_c1,sk_c2) = sk_c8
    | multiply(sk_c4,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

cnf(c_52,negated_conjecture,
    ( multiply(sk_c1,sk_c2) = sk_c8
    | multiply(sk_c8,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

cnf(c_53,negated_conjecture,
    ( multiply(sk_c1,sk_c2) = sk_c8
    | multiply(sk_c5,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

cnf(c_54,negated_conjecture,
    ( multiply(sk_c1,sk_c2) = sk_c8
    | inverse(sk_c5) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

cnf(c_55,negated_conjecture,
    ( inverse(sk_c1) = sk_c2
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

cnf(c_56,negated_conjecture,
    ( inverse(sk_c1) = sk_c2
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

cnf(c_57,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | inverse(sk_c1) = sk_c2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

cnf(c_58,negated_conjecture,
    ( multiply(sk_c8,sk_c6) = sk_c7
    | inverse(sk_c1) = sk_c2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

cnf(c_59,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c6
    | inverse(sk_c1) = sk_c2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

cnf(c_60,negated_conjecture,
    ( inverse(sk_c1) = sk_c2
    | inverse(sk_c5) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

cnf(c_65,negated_conjecture,
    ( multiply(sk_c2,sk_c7) = sk_c8
    | multiply(sk_c5,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_67,negated_conjecture,
    ( inverse(sk_c8) = sk_c7
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

cnf(c_68,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

cnf(c_69,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

cnf(c_70,negated_conjecture,
    ( multiply(sk_c8,sk_c6) = sk_c7
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

cnf(c_73,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = sk_c8
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

cnf(c_74,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = sk_c8
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

cnf(c_75,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | multiply(sk_c3,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

cnf(c_76,negated_conjecture,
    ( multiply(sk_c8,sk_c6) = sk_c7
    | multiply(sk_c3,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

cnf(c_77,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c6
    | multiply(sk_c3,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

cnf(c_78,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = sk_c8
    | inverse(sk_c5) = sk_c8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

cnf(c_79,negated_conjecture,
    ( multiply(X0,X1) != sk_c8
    | multiply(X1,sk_c7) != sk_c8
    | multiply(X2,sk_c7) != sk_c8
    | multiply(X3,sk_c7) != sk_c8
    | multiply(X4,sk_c8) != X5
    | multiply(sk_c8,X5) != sk_c7
    | inverse(X0) != X1
    | inverse(X2) != sk_c8
    | inverse(X3) != sk_c8
    | inverse(X4) != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    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_c8,multiply(X0,sk_c8)) != sk_c7
    | multiply(X1,inverse(X1)) != sk_c8
    | multiply(inverse(X1),sk_c7) != sk_c8
    | multiply(X2,sk_c7) != sk_c8
    | multiply(X3,sk_c7) != sk_c8
    | inverse(X0) != sk_c8
    | inverse(X2) != sk_c8
    | inverse(X3) != sk_c8
    | inverse(sk_c8) != sk_c7 ),
    inference(unflattening,[status(thm)],[c_79]) ).

cnf(c_372,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c8
    | inverse(X0) != sk_c8
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_83]) ).

cnf(c_373,negated_conjecture,
    ( multiply(X0,inverse(X0)) != sk_c8
    | multiply(inverse(X0),sk_c7) != sk_c8
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_83]) ).

cnf(c_374,negated_conjecture,
    ( multiply(sk_c8,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_375,negated_conjecture,
    ( inverse(sk_c8) != sk_c7
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_83]) ).

cnf(c_376,plain,
    inverse(sk_c8) = sP3_iProver_def,
    definition ).

cnf(c_377,plain,
    multiply(sk_c3,sk_c7) = sP4_iProver_def,
    definition ).

cnf(c_378,plain,
    inverse(sk_c5) = sP5_iProver_def,
    definition ).

cnf(c_379,plain,
    multiply(sk_c5,sk_c8) = sP6_iProver_def,
    definition ).

cnf(c_380,plain,
    multiply(sk_c8,sk_c6) = sP7_iProver_def,
    definition ).

cnf(c_381,plain,
    multiply(sk_c4,sk_c7) = sP8_iProver_def,
    definition ).

cnf(c_382,plain,
    inverse(sk_c4) = sP9_iProver_def,
    definition ).

cnf(c_383,plain,
    inverse(sk_c3) = sP10_iProver_def,
    definition ).

cnf(c_384,plain,
    multiply(sk_c2,sk_c7) = sP11_iProver_def,
    definition ).

cnf(c_385,plain,
    inverse(sk_c1) = sP12_iProver_def,
    definition ).

cnf(c_386,plain,
    multiply(sk_c1,sk_c2) = sP13_iProver_def,
    definition ).

cnf(c_387,negated_conjecture,
    ( sP3_iProver_def != sk_c7
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_375,c_376]) ).

cnf(c_388,negated_conjecture,
    ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_374]) ).

cnf(c_390,negated_conjecture,
    ( multiply(X0,inverse(X0)) != sk_c8
    | multiply(inverse(X0),sk_c7) != sk_c8
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_373]) ).

cnf(c_391,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c8
    | inverse(X0) != sk_c8
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_372]) ).

cnf(c_392,negated_conjecture,
    ( sP4_iProver_def = sk_c8
    | sP5_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_78,c_378,c_377]) ).

cnf(c_393,negated_conjecture,
    ( sP4_iProver_def = sk_c8
    | sP6_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_77,c_379]) ).

cnf(c_394,negated_conjecture,
    ( sP4_iProver_def = sk_c8
    | sP7_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_76,c_380]) ).

cnf(c_395,negated_conjecture,
    ( sP4_iProver_def = sk_c8
    | sP8_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_75,c_381]) ).

cnf(c_396,negated_conjecture,
    ( sP4_iProver_def = sk_c8
    | sP9_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_74,c_382]) ).

cnf(c_397,negated_conjecture,
    ( sP3_iProver_def = sk_c7
    | sP4_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_73]) ).

cnf(c_400,negated_conjecture,
    ( sP7_iProver_def = sk_c7
    | sP10_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_70]) ).

cnf(c_401,negated_conjecture,
    ( sP8_iProver_def = sk_c8
    | sP10_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_69]) ).

cnf(c_402,negated_conjecture,
    ( sP9_iProver_def = sk_c8
    | sP10_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_68]) ).

cnf(c_403,negated_conjecture,
    ( sP3_iProver_def = sk_c7
    | sP10_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_67]) ).

cnf(c_405,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP11_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_65]) ).

cnf(c_410,negated_conjecture,
    ( sP5_iProver_def = sk_c8
    | sP12_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_60,c_385]) ).

cnf(c_411,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP12_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_412,negated_conjecture,
    ( sP7_iProver_def = sk_c7
    | sP12_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_58]) ).

cnf(c_413,negated_conjecture,
    ( sP8_iProver_def = sk_c8
    | sP12_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_57]) ).

cnf(c_414,negated_conjecture,
    ( sP9_iProver_def = sk_c8
    | sP12_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_415,negated_conjecture,
    ( sP3_iProver_def = sk_c7
    | sP12_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_416,negated_conjecture,
    ( sP5_iProver_def = sk_c8
    | sP13_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_54,c_386]) ).

cnf(c_417,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP13_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_53]) ).

cnf(c_418,negated_conjecture,
    ( sP7_iProver_def = sk_c7
    | sP13_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_419,negated_conjecture,
    ( sP8_iProver_def = sk_c8
    | sP13_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_420,negated_conjecture,
    ( sP9_iProver_def = sk_c8
    | sP13_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_421,negated_conjecture,
    ( sP3_iProver_def = sk_c7
    | sP13_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_717,plain,
    ( multiply(sk_c5,sP9_iProver_def) = sP6_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_396,c_379]) ).

cnf(c_718,plain,
    ( multiply(sk_c5,sP8_iProver_def) = sP6_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_395,c_379]) ).

cnf(c_731,plain,
    ( multiply(sP5_iProver_def,sk_c6) = sP7_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_392,c_380]) ).

cnf(c_757,plain,
    ( sP3_iProver_def != sP7_iProver_def
    | sk_c8 = sP10_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_400,c_387]) ).

cnf(c_776,plain,
    ( multiply(sk_c5,sP10_iProver_def) = sP6_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_401,c_379]) ).

cnf(c_804,plain,
    ( multiply(sk_c5,sP10_iProver_def) = sP6_iProver_def
    | sk_c8 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_402,c_379]) ).

cnf(c_830,plain,
    ( sk_c8 = sP10_iProver_def
    | sP3_iProver_def = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_403,c_400]) ).

cnf(c_831,plain,
    ( multiply(sk_c3,sP3_iProver_def) = sP4_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_403,c_377]) ).

cnf(c_900,plain,
    ( multiply(sk_c8,sP6_iProver_def) = sP7_iProver_def
    | sk_c8 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_405,c_380]) ).

cnf(c_983,plain,
    multiply(sP3_iProver_def,sk_c8) = identity,
    inference(superposition,[status(thm)],[c_376,c_81]) ).

cnf(c_984,plain,
    multiply(sP9_iProver_def,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_382,c_81]) ).

cnf(c_985,plain,
    multiply(sP5_iProver_def,sk_c5) = identity,
    inference(superposition,[status(thm)],[c_378,c_81]) ).

cnf(c_986,plain,
    multiply(sP12_iProver_def,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_385,c_81]) ).

cnf(c_987,plain,
    multiply(sP10_iProver_def,sk_c3) = identity,
    inference(superposition,[status(thm)],[c_383,c_81]) ).

cnf(c_1146,plain,
    ( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_410,c_386]) ).

cnf(c_1156,plain,
    ( multiply(sk_c8,sP6_iProver_def) = sP7_iProver_def
    | sk_c2 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_411,c_380]) ).

cnf(c_1163,plain,
    ( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_412,c_386]) ).

cnf(c_1173,plain,
    ( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_413,c_386]) ).

cnf(c_1183,plain,
    ( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
    | sk_c8 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_414,c_386]) ).

cnf(c_1222,plain,
    ( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
    | sk_c7 = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_415,c_386]) ).

cnf(c_1248,plain,
    ( multiply(sk_c5,sP13_iProver_def) = sP6_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_416,c_379]) ).

cnf(c_1291,plain,
    ( multiply(sk_c8,sP6_iProver_def) = sP7_iProver_def
    | sk_c8 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_417,c_380]) ).

cnf(c_1302,plain,
    ( multiply(sk_c2,sP7_iProver_def) = sP11_iProver_def
    | sk_c8 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_418,c_384]) ).

cnf(c_1307,plain,
    ( sP3_iProver_def != sP7_iProver_def
    | sk_c8 = sP13_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_418,c_387]) ).

cnf(c_1363,plain,
    ( multiply(sk_c5,sP13_iProver_def) = sP6_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_419,c_379]) ).

cnf(c_1416,plain,
    ( multiply(sk_c5,sP13_iProver_def) = sP6_iProver_def
    | sk_c8 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_420,c_379]) ).

cnf(c_1528,plain,
    ( sk_c8 = sP13_iProver_def
    | sP3_iProver_def = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_421,c_418]) ).

cnf(c_1529,plain,
    ( multiply(sk_c2,sP3_iProver_def) = sP11_iProver_def
    | sk_c8 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_421,c_384]) ).

cnf(c_1530,plain,
    ( multiply(sk_c4,sP3_iProver_def) = sP8_iProver_def
    | sk_c8 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_421,c_381]) ).

cnf(c_1565,plain,
    ( inverse(sk_c4) != sk_c8
    | sk_c8 != sP8_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_381,c_391]) ).

cnf(c_1567,plain,
    ( inverse(sk_c3) != sk_c8
    | sk_c8 != sP4_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_377,c_391]) ).

cnf(c_1581,plain,
    ( sk_c8 != sP4_iProver_def
    | sk_c8 != sP10_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1567,c_383]) ).

cnf(c_1588,plain,
    ( sk_c8 != sP8_iProver_def
    | sk_c8 != sP9_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1565,c_382]) ).

cnf(c_1708,plain,
    ( multiply(sk_c8,sP6_iProver_def) != sk_c7
    | inverse(sk_c5) != sk_c8
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_379,c_388]) ).

cnf(c_1730,plain,
    ( multiply(sk_c8,sP6_iProver_def) != sk_c7
    | sk_c8 != sP5_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1708,c_378]) ).

cnf(c_2484,plain,
    multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sP13_iProver_def,X0),
    inference(superposition,[status(thm)],[c_386,c_82]) ).

cnf(c_2485,plain,
    multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sP8_iProver_def,X0),
    inference(superposition,[status(thm)],[c_381,c_82]) ).

cnf(c_2486,plain,
    multiply(sk_c8,multiply(sk_c6,X0)) = multiply(sP7_iProver_def,X0),
    inference(superposition,[status(thm)],[c_380,c_82]) ).

cnf(c_2487,plain,
    multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sP6_iProver_def,X0),
    inference(superposition,[status(thm)],[c_379,c_82]) ).

cnf(c_2491,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_81,c_82]) ).

cnf(c_2493,plain,
    multiply(sP3_iProver_def,multiply(sk_c8,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_983,c_82]) ).

cnf(c_2494,plain,
    multiply(sP9_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_984,c_82]) ).

cnf(c_2495,plain,
    multiply(sP5_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_985,c_82]) ).

cnf(c_2496,plain,
    multiply(sP12_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_986,c_82]) ).

cnf(c_2497,plain,
    multiply(sP10_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_987,c_82]) ).

cnf(c_2501,plain,
    multiply(sP10_iProver_def,multiply(sk_c3,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2497,c_80]) ).

cnf(c_2502,plain,
    multiply(sP12_iProver_def,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2496,c_80]) ).

cnf(c_2503,plain,
    multiply(sP5_iProver_def,multiply(sk_c5,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2495,c_80]) ).

cnf(c_2504,plain,
    multiply(sP9_iProver_def,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2494,c_80]) ).

cnf(c_2505,plain,
    multiply(sP3_iProver_def,multiply(sk_c8,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2493,c_80]) ).

cnf(c_2813,plain,
    ( sk_c8 = sP10_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_403,c_387]) ).

cnf(c_4447,plain,
    multiply(sP10_iProver_def,sP4_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_377,c_2501]) ).

cnf(c_4450,plain,
    multiply(sP10_iProver_def,multiply(sP4_iProver_def,X0)) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_4447,c_82]) ).

cnf(c_4452,plain,
    multiply(sP12_iProver_def,sP13_iProver_def) = sk_c2,
    inference(superposition,[status(thm)],[c_386,c_2502]) ).

cnf(c_4494,plain,
    multiply(sP12_iProver_def,multiply(sP13_iProver_def,X0)) = multiply(sk_c2,X0),
    inference(superposition,[status(thm)],[c_4452,c_82]) ).

cnf(c_4496,plain,
    multiply(sP5_iProver_def,sP6_iProver_def) = sk_c8,
    inference(superposition,[status(thm)],[c_379,c_2503]) ).

cnf(c_4499,plain,
    multiply(sP5_iProver_def,multiply(sP6_iProver_def,X0)) = multiply(sk_c8,X0),
    inference(superposition,[status(thm)],[c_4496,c_82]) ).

cnf(c_4501,plain,
    multiply(sP9_iProver_def,sP8_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_381,c_2504]) ).

cnf(c_4504,plain,
    multiply(sP9_iProver_def,multiply(sP8_iProver_def,X0)) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_4501,c_82]) ).

cnf(c_4673,plain,
    multiply(sP3_iProver_def,sP7_iProver_def) = sk_c6,
    inference(superposition,[status(thm)],[c_380,c_2505]) ).

cnf(c_5122,plain,
    ( multiply(sP5_iProver_def,sP6_iProver_def) = sP9_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_717,c_2503]) ).

cnf(c_5123,plain,
    ( sk_c8 = sP4_iProver_def
    | sk_c8 = sP9_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5122,c_4496]) ).

cnf(c_5134,plain,
    ( multiply(sP5_iProver_def,sP6_iProver_def) = sP8_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_718,c_2503]) ).

cnf(c_5135,plain,
    ( sk_c8 = sP4_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5134,c_4496]) ).

cnf(c_5308,plain,
    ( multiply(sP5_iProver_def,sP6_iProver_def) = sP7_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_393,c_731]) ).

cnf(c_5310,plain,
    ( sk_c8 = sP4_iProver_def
    | sk_c8 = sP7_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5308,c_4496]) ).

cnf(c_5614,plain,
    ( multiply(sP5_iProver_def,sP6_iProver_def) = sP10_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_776,c_2503]) ).

cnf(c_5615,plain,
    ( sk_c8 = sP8_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5614,c_4496]) ).

cnf(c_5777,plain,
    ( sk_c8 = sP4_iProver_def
    | sP7_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_5310,c_395]) ).

cnf(c_6610,plain,
    ( multiply(sP5_iProver_def,sP6_iProver_def) = sP10_iProver_def
    | sk_c8 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_804,c_2503]) ).

cnf(c_6611,plain,
    ( sk_c8 = sP9_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6610,c_4496]) ).

cnf(c_6625,plain,
    ( multiply(sP10_iProver_def,sP4_iProver_def) = sP3_iProver_def
    | sk_c8 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_831,c_2501]) ).

cnf(c_6626,plain,
    ( sk_c8 = sP10_iProver_def
    | sk_c7 = sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6625,c_4447]) ).

cnf(c_6681,plain,
    ( multiply(sP4_iProver_def,sP6_iProver_def) = sP7_iProver_def
    | sk_c8 = sP11_iProver_def
    | sP7_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_5777,c_900]) ).

cnf(c_7545,plain,
    ( sk_c8 = sP10_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_2813,c_757,c_830,c_1588,c_5615,c_6611]) ).

cnf(c_8642,plain,
    ( multiply(sP4_iProver_def,sP6_iProver_def) = sP7_iProver_def
    | sk_c2 = sP12_iProver_def
    | sP7_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_5777,c_1156]) ).

cnf(c_9637,plain,
    ( multiply(sP5_iProver_def,sP6_iProver_def) = sP13_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_1248,c_2503]) ).

cnf(c_9638,plain,
    ( sk_c8 = sP5_iProver_def
    | sk_c8 = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_9637,c_4496]) ).

cnf(c_9937,plain,
    ( multiply(sP5_iProver_def,sP6_iProver_def) = sP13_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_1363,c_2503]) ).

cnf(c_9938,plain,
    ( sk_c8 = sP8_iProver_def
    | sk_c8 = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_9937,c_4496]) ).

cnf(c_10145,plain,
    ( multiply(sP5_iProver_def,sP6_iProver_def) = sP13_iProver_def
    | sk_c8 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_1416,c_2503]) ).

cnf(c_10146,plain,
    ( sk_c8 = sP9_iProver_def
    | sk_c8 = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_10145,c_4496]) ).

cnf(c_10171,plain,
    ( multiply(sP9_iProver_def,sP8_iProver_def) = sP3_iProver_def
    | sk_c8 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_1530,c_2504]) ).

cnf(c_10172,plain,
    ( sk_c8 = sP13_iProver_def
    | sk_c7 = sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_10171,c_4501]) ).

cnf(c_10246,plain,
    ( sk_c8 = sP10_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_757,c_7545]) ).

cnf(c_10774,plain,
    multiply(sk_c1,sP11_iProver_def) = multiply(sP13_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_384,c_2484]) ).

cnf(c_10869,plain,
    multiply(sP12_iProver_def,multiply(sP13_iProver_def,sk_c7)) = sP11_iProver_def,
    inference(superposition,[status(thm)],[c_10774,c_2502]) ).

cnf(c_11213,plain,
    ( sk_c8 = sP13_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_1307,c_1307,c_1528,c_1588,c_9938,c_10146]) ).

cnf(c_11225,plain,
    multiply(sk_c5,sP7_iProver_def) = multiply(sP6_iProver_def,sk_c6),
    inference(superposition,[status(thm)],[c_380,c_2487]) ).

cnf(c_15551,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_2491,c_80]) ).

cnf(c_15592,plain,
    multiply(inverse(sk_c8),sP7_iProver_def) = sk_c6,
    inference(superposition,[status(thm)],[c_380,c_15551]) ).

cnf(c_15594,plain,
    multiply(inverse(sk_c2),sP11_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_384,c_15551]) ).

cnf(c_15596,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_80,c_15551]) ).

cnf(c_15597,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_81,c_15551]) ).

cnf(c_15637,plain,
    ( multiply(inverse(sk_c8),sP7_iProver_def) = sP6_iProver_def
    | sk_c8 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_1291,c_15551]) ).

cnf(c_15638,plain,
    ( multiply(inverse(sk_c8),sP7_iProver_def) = sP6_iProver_def
    | sk_c2 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_1156,c_15551]) ).

cnf(c_15639,plain,
    ( multiply(inverse(sk_c8),sP7_iProver_def) = sP6_iProver_def
    | sk_c8 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_900,c_15551]) ).

cnf(c_15658,plain,
    ( multiply(inverse(sk_c2),sP11_iProver_def) = sP7_iProver_def
    | sk_c8 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_1302,c_15551]) ).

cnf(c_15662,plain,
    ( multiply(inverse(sk_c2),sP11_iProver_def) = sP3_iProver_def
    | sk_c8 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_1529,c_15551]) ).

cnf(c_15729,plain,
    multiply(inverse(sP3_iProver_def),X0) = multiply(sk_c8,X0),
    inference(superposition,[status(thm)],[c_2505,c_15551]) ).

cnf(c_15730,plain,
    multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c4,X0),
    inference(superposition,[status(thm)],[c_2504,c_15551]) ).

cnf(c_15731,plain,
    multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c5,X0),
    inference(superposition,[status(thm)],[c_2503,c_15551]) ).

cnf(c_15732,plain,
    multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c1,X0),
    inference(superposition,[status(thm)],[c_2502,c_15551]) ).

cnf(c_15733,plain,
    multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c3,X0),
    inference(superposition,[status(thm)],[c_2501,c_15551]) ).

cnf(c_15743,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_15551,c_15551]) ).

cnf(c_16303,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_15597,c_15743]) ).

cnf(c_16314,plain,
    multiply(sk_c4,sk_c7) = multiply(sP8_iProver_def,identity),
    inference(superposition,[status(thm)],[c_16303,c_2485]) ).

cnf(c_16315,plain,
    multiply(sk_c8,sk_c6) = multiply(sP7_iProver_def,identity),
    inference(superposition,[status(thm)],[c_16303,c_2486]) ).

cnf(c_16316,plain,
    multiply(sk_c5,sk_c8) = multiply(sP6_iProver_def,identity),
    inference(superposition,[status(thm)],[c_16303,c_2487]) ).

cnf(c_16322,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_16303,c_15596]) ).

cnf(c_16323,plain,
    multiply(sP6_iProver_def,identity) = sP6_iProver_def,
    inference(light_normalisation,[status(thm)],[c_16316,c_379]) ).

cnf(c_16324,plain,
    multiply(sP7_iProver_def,identity) = sP7_iProver_def,
    inference(light_normalisation,[status(thm)],[c_16315,c_380]) ).

cnf(c_16325,plain,
    multiply(sP8_iProver_def,identity) = sP8_iProver_def,
    inference(light_normalisation,[status(thm)],[c_16314,c_381]) ).

cnf(c_16444,plain,
    multiply(sk_c7,identity) = multiply(sP10_iProver_def,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_16303,c_4450]) ).

cnf(c_16447,plain,
    multiply(sk_c7,identity) = sk_c7,
    inference(light_normalisation,[status(thm)],[c_16444,c_4447]) ).

cnf(c_16559,plain,
    multiply(sk_c2,identity) = multiply(sP12_iProver_def,sP13_iProver_def),
    inference(superposition,[status(thm)],[c_16303,c_4494]) ).

cnf(c_16574,plain,
    multiply(sk_c2,identity) = sk_c2,
    inference(light_normalisation,[status(thm)],[c_16559,c_4452]) ).

cnf(c_16637,plain,
    multiply(sk_c8,identity) = multiply(sP5_iProver_def,sP6_iProver_def),
    inference(superposition,[status(thm)],[c_16303,c_4499]) ).

cnf(c_16666,plain,
    multiply(sk_c7,identity) = multiply(sP9_iProver_def,sP8_iProver_def),
    inference(superposition,[status(thm)],[c_16303,c_4504]) ).

cnf(c_16883,plain,
    multiply(sk_c8,sP3_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_15729,c_81]) ).

cnf(c_16887,plain,
    multiply(sk_c8,multiply(sP3_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_15729,c_15551]) ).

cnf(c_16888,plain,
    multiply(sk_c8,identity) = inverse(sP3_iProver_def),
    inference(superposition,[status(thm)],[c_15729,c_16303]) ).

cnf(c_17177,plain,
    multiply(sk_c5,identity) = multiply(sP6_iProver_def,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_16883,c_2487]) ).

cnf(c_17346,plain,
    inverse(sP3_iProver_def) = sk_c8,
    inference(demodulation,[status(thm)],[c_16888,c_16303]) ).

cnf(c_17837,plain,
    ( inverse(sP3_iProver_def) != sk_c8
    | sk_c8 != sk_c7
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_16887,c_388]) ).

cnf(c_17946,plain,
    ( sk_c8 != sk_c7
    | ~ sP2_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_17837,c_17346]) ).

cnf(c_18306,plain,
    multiply(sP6_iProver_def,sP3_iProver_def) = sk_c5,
    inference(demodulation,[status(thm)],[c_17177,c_16303]) ).

cnf(c_18307,plain,
    multiply(inverse(sP6_iProver_def),sk_c5) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_18306,c_15551]) ).

cnf(c_18312,plain,
    multiply(inverse(sP6_iProver_def),multiply(sk_c5,X0)) = multiply(sP3_iProver_def,X0),
    inference(superposition,[status(thm)],[c_18307,c_82]) ).

cnf(c_19094,plain,
    multiply(sk_c4,sP9_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_15730,c_81]) ).

cnf(c_19095,plain,
    ( multiply(sP9_iProver_def,inverse(sP9_iProver_def)) != sk_c8
    | multiply(sk_c4,sk_c7) != sk_c8
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_15730,c_390]) ).

cnf(c_19096,plain,
    ( multiply(sk_c8,multiply(sk_c4,sk_c8)) != sk_c7
    | inverse(inverse(sP9_iProver_def)) != sk_c8
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_15730,c_388]) ).

cnf(c_19098,plain,
    multiply(sk_c4,multiply(sP9_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_15730,c_15551]) ).

cnf(c_19099,plain,
    multiply(sk_c4,identity) = inverse(sP9_iProver_def),
    inference(superposition,[status(thm)],[c_15730,c_16303]) ).

cnf(c_19112,plain,
    ( multiply(sP9_iProver_def,inverse(sP9_iProver_def)) != sk_c8
    | sk_c8 != sP8_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_19095,c_381]) ).

cnf(c_19131,plain,
    inverse(sP9_iProver_def) = sk_c4,
    inference(demodulation,[status(thm)],[c_19099,c_16303]) ).

cnf(c_19740,plain,
    multiply(inverse(sP6_iProver_def),sP6_iProver_def) = multiply(sP3_iProver_def,sk_c8),
    inference(superposition,[status(thm)],[c_379,c_18312]) ).

cnf(c_19774,plain,
    multiply(inverse(sP6_iProver_def),multiply(sP6_iProver_def,sk_c6)) = multiply(sP3_iProver_def,sP7_iProver_def),
    inference(superposition,[status(thm)],[c_11225,c_18312]) ).

cnf(c_19775,plain,
    multiply(inverse(sP6_iProver_def),sk_c5) = multiply(sP3_iProver_def,identity),
    inference(superposition,[status(thm)],[c_16303,c_18312]) ).

cnf(c_19779,plain,
    multiply(inverse(sP6_iProver_def),sP6_iProver_def) = identity,
    inference(light_normalisation,[status(thm)],[c_19740,c_983]) ).

cnf(c_19780,plain,
    multiply(inverse(sP6_iProver_def),multiply(sP6_iProver_def,sk_c6)) = sk_c6,
    inference(light_normalisation,[status(thm)],[c_19774,c_4673]) ).

cnf(c_19918,plain,
    ( sk_c8 != sP10_iProver_def
    | ~ sP0_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_1581,c_1588,c_1581,c_5123,c_5135]) ).

cnf(c_19920,plain,
    ~ sP0_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_19918,c_1588,c_5615,c_6611,c_19918]) ).

cnf(c_19922,plain,
    ( sk_c7 != sP3_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(backward_subsumption_resolution,[status(thm)],[c_387,c_19920]) ).

cnf(c_21314,plain,
    multiply(sk_c5,sP5_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_15731,c_81]) ).

cnf(c_21318,plain,
    multiply(sk_c5,identity) = inverse(sP5_iProver_def),
    inference(superposition,[status(thm)],[c_15731,c_16303]) ).

cnf(c_21479,plain,
    inverse(sP5_iProver_def) = sk_c5,
    inference(demodulation,[status(thm)],[c_21318,c_16303]) ).

cnf(c_22132,plain,
    multiply(sk_c1,sP12_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_15732,c_81]) ).

cnf(c_22143,plain,
    ( sk_c7 = sP3_iProver_def
    | identity = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_1222,c_22132]) ).

cnf(c_22144,plain,
    ( sk_c8 = sP9_iProver_def
    | identity = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_1183,c_22132]) ).

cnf(c_22145,plain,
    ( sk_c8 = sP8_iProver_def
    | identity = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_1173,c_22132]) ).

cnf(c_22146,plain,
    ( sk_c7 = sP7_iProver_def
    | identity = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_1163,c_22132]) ).

cnf(c_22147,plain,
    ( sk_c8 = sP5_iProver_def
    | identity = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_1146,c_22132]) ).

cnf(c_22235,plain,
    multiply(sP12_iProver_def,identity) = sP12_iProver_def,
    inference(superposition,[status(thm)],[c_22132,c_2502]) ).

cnf(c_22305,plain,
    ( identity = sP13_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_22143,c_19922]) ).

cnf(c_22321,plain,
    ( multiply(sk_c2,sP3_iProver_def) = sP11_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_22143,c_384]) ).

cnf(c_22585,plain,
    ( multiply(sP9_iProver_def,sk_c6) = sP7_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_22144,c_380]) ).

cnf(c_22856,plain,
    ( identity = sP13_iProver_def
    | sP8_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_22145,c_22144]) ).

cnf(c_22916,plain,
    ( multiply(sk_c5,sP8_iProver_def) = sP6_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_22145,c_379]) ).

cnf(c_23223,plain,
    ( identity = sP13_iProver_def
    | sP3_iProver_def = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_22146,c_22143]) ).

cnf(c_23246,plain,
    ( multiply(sk_c4,sP7_iProver_def) = sP8_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_22146,c_381]) ).

cnf(c_23459,plain,
    ( identity = sP13_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_22147,c_22145]) ).

cnf(c_23520,plain,
    ( multiply(sk_c5,sP5_iProver_def) = sP6_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_22147,c_379]) ).

cnf(c_23521,plain,
    ( inverse(sP5_iProver_def) = sP3_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_22147,c_376]) ).

cnf(c_23529,plain,
    ( sk_c5 = sP3_iProver_def
    | identity = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_23521,c_21479]) ).

cnf(c_23532,plain,
    ( identity = sP6_iProver_def
    | identity = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_23520,c_21314]) ).

cnf(c_23974,plain,
    ( inverse(sP13_iProver_def) = sP13_iProver_def
    | sP8_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_22856,c_16322]) ).

cnf(c_24013,plain,
    ( inverse(sP13_iProver_def) = sP13_iProver_def
    | identity = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_23532,c_16322]) ).

cnf(c_24206,plain,
    ( inverse(sP13_iProver_def) = sP13_iProver_def
    | sP3_iProver_def = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_23223,c_16322]) ).

cnf(c_24343,plain,
    ( inverse(sP13_iProver_def) = sP13_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_23459,c_16322]) ).

cnf(c_25123,plain,
    ( multiply(sk_c1,sP11_iProver_def) = multiply(sP13_iProver_def,sP3_iProver_def)
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_22321,c_2484]) ).

cnf(c_25125,plain,
    ( multiply(sP13_iProver_def,sk_c7) = multiply(sP13_iProver_def,sP3_iProver_def)
    | identity = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_25123,c_10774]) ).

cnf(c_25169,plain,
    multiply(sk_c3,sP10_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_15733,c_81]) ).

cnf(c_25170,plain,
    ( multiply(sP10_iProver_def,inverse(sP10_iProver_def)) != sk_c8
    | multiply(sk_c3,sk_c7) != sk_c8
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_15733,c_390]) ).

cnf(c_25173,plain,
    multiply(sk_c3,identity) = inverse(sP10_iProver_def),
    inference(superposition,[status(thm)],[c_15733,c_16303]) ).

cnf(c_25190,plain,
    ( multiply(sP10_iProver_def,inverse(sP10_iProver_def)) != sk_c8
    | sk_c8 != sP4_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_25170,c_377]) ).

cnf(c_25267,plain,
    multiply(sP10_iProver_def,identity) = sP10_iProver_def,
    inference(superposition,[status(thm)],[c_25169,c_2501]) ).

cnf(c_25278,plain,
    inverse(sP10_iProver_def) = sk_c3,
    inference(demodulation,[status(thm)],[c_25173,c_16303]) ).

cnf(c_26847,plain,
    ( multiply(sk_c4,sP7_iProver_def) = sk_c6
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_22585,c_19098]) ).

cnf(c_26898,plain,
    ( multiply(sP3_iProver_def,sP8_iProver_def) = sP6_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_23529,c_22916]) ).

cnf(c_26905,plain,
    ( multiply(inverse(sP6_iProver_def),sP6_iProver_def) = multiply(sP3_iProver_def,sP8_iProver_def)
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_22916,c_18312]) ).

cnf(c_30017,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_26905,c_26898,c_26847,c_25278,c_25267,c_25190,c_25125,c_24343,c_24206,c_24013,c_23974,c_23246,c_22321,c_22305,c_22235,c_22145,c_22143,c_21314,c_19922,c_19780,c_19779,c_19775,c_19774,c_19740,c_19131,c_19112,c_19096,c_19094,c_18307,c_17946,c_17346,c_16888,c_16883,c_16666,c_16637,c_16574,c_16559,c_16447,c_16444,c_16325,c_16324,c_16323,c_16316,c_16315,c_16314,c_15662,c_15658,c_15639,c_15638,c_15637,c_15594,c_15592,c_11213,c_10869,c_10172,c_10146,c_9938,c_9638,c_8642,c_10246,c_6681,c_6626,c_1730,c_1530,c_1291,c_987,c_984,c_397,c_396,c_395,c_394,c_393,c_392,c_382,c_376]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP212-1 : TPTP v8.2.0. Released v2.5.0.
% 0.07/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu Jun 20 10:27:54 EDT 2024
% 0.12/0.34  % 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
% 7.97/1.67  % SZS status Started for theBenchmark.p
% 7.97/1.67  % SZS status Unsatisfiable for theBenchmark.p
% 7.97/1.67  
% 7.97/1.67  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.97/1.67  
% 7.97/1.67  ------  iProver source info
% 7.97/1.67  
% 7.97/1.67  git: date: 2024-06-12 09:56:46 +0000
% 7.97/1.67  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 7.97/1.67  git: non_committed_changes: false
% 7.97/1.67  
% 7.97/1.67  ------ Parsing...successful
% 7.97/1.67  
% 7.97/1.67  
% 7.97/1.67  
% 7.97/1.67  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.97/1.67  
% 7.97/1.67  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.97/1.67  
% 7.97/1.67  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 7.97/1.67  ------ Proving...
% 7.97/1.67  ------ Problem Properties 
% 7.97/1.67  
% 7.97/1.67  
% 7.97/1.67  clauses                                 48
% 7.97/1.67  conjectures                             34
% 7.97/1.67  EPR                                     31
% 7.97/1.67  Horn                                    17
% 7.97/1.67  unary                                   14
% 7.97/1.67  binary                                  30
% 7.97/1.67  lits                                    87
% 7.97/1.67  lits eq                                 81
% 7.97/1.67  fd_pure                                 0
% 7.97/1.67  fd_pseudo                               0
% 7.97/1.67  fd_cond                                 0
% 7.97/1.67  fd_pseudo_cond                          0
% 7.97/1.67  AC symbols                              0
% 7.97/1.67  
% 7.97/1.67  ------ Schedule dynamic 5 is on 
% 7.97/1.67  
% 7.97/1.67  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.97/1.67  
% 7.97/1.67  
% 7.97/1.67  ------ 
% 7.97/1.67  Current options:
% 7.97/1.67  ------ 
% 7.97/1.67  
% 7.97/1.67  
% 7.97/1.67  
% 7.97/1.67  
% 7.97/1.67  ------ Proving...
% 7.97/1.67  
% 7.97/1.67  
% 7.97/1.67  % SZS status Unsatisfiable for theBenchmark.p
% 7.97/1.67  
% 7.97/1.67  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.97/1.67  
% 7.97/1.67  
%------------------------------------------------------------------------------