TSTP Solution File: GRP276-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP276-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 02:22:00 EDT 2024

% Result   : Unsatisfiable 7.52s 1.50s
% Output   : CNFRefutation 7.52s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

cnf(c_50,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(sk_c3,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

cnf(c_51,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

cnf(c_52,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | inverse(sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

cnf(c_55,negated_conjecture,
    ( multiply(sk_c6,sk_c5) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

cnf(c_56,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

cnf(c_57,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

cnf(c_58,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | inverse(sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

cnf(c_59,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

cnf(c_61,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

cnf(c_62,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | multiply(sk_c3,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

cnf(c_63,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

cnf(c_64,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | inverse(sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

cnf(c_65,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_66,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | inverse(sk_c4) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

cnf(c_67,negated_conjecture,
    ( multiply(sk_c6,sk_c5) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

cnf(c_68,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = sk_c6
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

cnf(c_69,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

cnf(c_70,negated_conjecture,
    ( inverse(sk_c7) = sk_c5
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

cnf(c_72,negated_conjecture,
    ( inverse(sk_c4) = sk_c5
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

cnf(c_73,negated_conjecture,
    ( multiply(sk_c6,sk_c5) = sk_c7
    | multiply(sk_c2,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

cnf(c_74,negated_conjecture,
    ( multiply(sk_c3,sk_c7) = sk_c6
    | multiply(sk_c2,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

cnf(c_75,negated_conjecture,
    ( multiply(sk_c2,sk_c6) = sk_c7
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

cnf(c_76,negated_conjecture,
    ( multiply(sk_c2,sk_c6) = sk_c7
    | inverse(sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

cnf(c_77,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | multiply(sk_c2,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

cnf(c_79,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c6
    | multiply(X1,sk_c6) != sk_c7
    | multiply(X2,sk_c7) != sk_c6
    | multiply(X3,sk_c5) != sk_c6
    | multiply(sk_c7,sk_c5) != sk_c6
    | multiply(sk_c6,sk_c5) != sk_c7
    | inverse(X0) != sk_c7
    | inverse(X1) != sk_c7
    | inverse(X2) != sk_c7
    | inverse(X3) != sk_c5
    | inverse(sk_c7) != sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

cnf(c_80,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_81,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_82,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_379,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c6
    | 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_c6) != sk_c7
    | 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_c5
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_79]) ).

cnf(c_382,negated_conjecture,
    ( multiply(sk_c7,sk_c5) != sk_c6
    | multiply(sk_c6,sk_c5) != sk_c7
    | inverse(sk_c7) != sk_c5
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79]) ).

cnf(c_383,plain,
    multiply(sk_c7,sk_c5) = sP3_iProver_def,
    definition ).

cnf(c_384,plain,
    multiply(sk_c6,sk_c5) = sP4_iProver_def,
    definition ).

cnf(c_385,plain,
    inverse(sk_c7) = sP5_iProver_def,
    definition ).

cnf(c_386,plain,
    multiply(sk_c2,sk_c6) = sP6_iProver_def,
    definition ).

cnf(c_387,plain,
    inverse(sk_c4) = sP7_iProver_def,
    definition ).

cnf(c_388,plain,
    multiply(sk_c4,sk_c5) = sP8_iProver_def,
    definition ).

cnf(c_389,plain,
    inverse(sk_c3) = sP9_iProver_def,
    definition ).

cnf(c_390,plain,
    multiply(sk_c3,sk_c7) = sP10_iProver_def,
    definition ).

cnf(c_391,plain,
    inverse(sk_c2) = sP11_iProver_def,
    definition ).

cnf(c_392,plain,
    inverse(sk_c1) = sP12_iProver_def,
    definition ).

cnf(c_393,plain,
    multiply(sk_c1,sk_c7) = sP13_iProver_def,
    definition ).

cnf(c_394,negated_conjecture,
    ( sP3_iProver_def != sk_c6
    | sP4_iProver_def != sk_c7
    | sP5_iProver_def != sk_c5
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_382,c_385,c_384,c_383]) ).

cnf(c_396,negated_conjecture,
    ( multiply(X0,sk_c5) != sk_c6
    | inverse(X0) != sk_c5
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_381]) ).

cnf(c_397,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | inverse(X0) != sk_c7
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_380]) ).

cnf(c_398,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c6
    | inverse(X0) != sk_c7
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_379]) ).

cnf(c_400,negated_conjecture,
    ( sP6_iProver_def = sk_c7
    | sP8_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_77,c_388]) ).

cnf(c_401,negated_conjecture,
    ( sP5_iProver_def = sk_c5
    | sP6_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_76]) ).

cnf(c_402,negated_conjecture,
    ( sP6_iProver_def = sk_c7
    | sP9_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_75,c_389]) ).

cnf(c_403,negated_conjecture,
    ( sP6_iProver_def = sk_c7
    | sP10_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_74,c_390]) ).

cnf(c_404,negated_conjecture,
    ( sP4_iProver_def = sk_c7
    | sP6_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_73]) ).

cnf(c_405,negated_conjecture,
    ( sP7_iProver_def = sk_c5
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_72,c_391]) ).

cnf(c_407,negated_conjecture,
    ( sP5_iProver_def = sk_c5
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_70]) ).

cnf(c_408,negated_conjecture,
    ( sP9_iProver_def = sk_c7
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_69]) ).

cnf(c_409,negated_conjecture,
    ( sP10_iProver_def = sk_c6
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_68]) ).

cnf(c_410,negated_conjecture,
    ( sP4_iProver_def = sk_c7
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_67]) ).

cnf(c_411,negated_conjecture,
    ( sP3_iProver_def = sk_c6
    | sP7_iProver_def = sk_c5 ),
    inference(demodulation,[status(thm)],[c_66]) ).

cnf(c_412,negated_conjecture,
    ( sP3_iProver_def = sk_c6
    | sP8_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_65]) ).

cnf(c_413,negated_conjecture,
    ( sP3_iProver_def = sk_c6
    | sP5_iProver_def = sk_c5 ),
    inference(demodulation,[status(thm)],[c_64]) ).

cnf(c_414,negated_conjecture,
    ( sP3_iProver_def = sk_c6
    | sP9_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_63]) ).

cnf(c_415,negated_conjecture,
    ( sP3_iProver_def = sk_c6
    | sP10_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_62]) ).

cnf(c_416,negated_conjecture,
    ( sP3_iProver_def = sk_c6
    | sP4_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_61]) ).

cnf(c_418,negated_conjecture,
    ( sP8_iProver_def = sk_c6
    | sP12_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_419,negated_conjecture,
    ( sP5_iProver_def = sk_c5
    | sP12_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_58]) ).

cnf(c_420,negated_conjecture,
    ( sP9_iProver_def = sk_c7
    | sP12_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_57]) ).

cnf(c_421,negated_conjecture,
    ( sP10_iProver_def = sk_c6
    | sP12_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_422,negated_conjecture,
    ( sP4_iProver_def = sk_c7
    | sP12_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_425,negated_conjecture,
    ( sP5_iProver_def = sk_c5
    | sP13_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_426,negated_conjecture,
    ( sP9_iProver_def = sk_c7
    | sP13_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_427,negated_conjecture,
    ( sP10_iProver_def = sk_c6
    | sP13_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_428,negated_conjecture,
    ( sP4_iProver_def = sk_c7
    | sP13_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_429,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_430,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_657,plain,
    ( sk_c7 = sP6_iProver_def
    | sP8_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_400,c_403]) ).

cnf(c_690,plain,
    ( multiply(sk_c7,sP7_iProver_def) = sP3_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_405,c_383]) ).

cnf(c_691,plain,
    ( multiply(sk_c7,sP5_iProver_def) = sP3_iProver_def
    | sk_c7 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_401,c_383]) ).

cnf(c_710,plain,
    ( multiply(sP10_iProver_def,sk_c5) = sP4_iProver_def
    | sk_c7 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_403,c_384]) ).

cnf(c_742,plain,
    ( multiply(sk_c6,sP5_iProver_def) = sP4_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_407,c_384]) ).

cnf(c_743,plain,
    ( multiply(sk_c7,sP5_iProver_def) = sP3_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_407,c_383]) ).

cnf(c_815,plain,
    ( multiply(sk_c7,sP7_iProver_def) = sP3_iProver_def
    | sk_c6 = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_411,c_383]) ).

cnf(c_834,plain,
    ( multiply(sk_c2,sP8_iProver_def) = sP6_iProver_def
    | sk_c6 = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_412,c_386]) ).

cnf(c_847,plain,
    ( sk_c6 != X0
    | sP3_iProver_def != X0
    | sP3_iProver_def = sk_c6 ),
    inference(instantiation,[status(thm)],[c_430]) ).

cnf(c_857,plain,
    ( multiply(sk_c6,sP5_iProver_def) = sP4_iProver_def
    | sk_c6 = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_413,c_384]) ).

cnf(c_858,plain,
    ( multiply(sk_c7,sP5_iProver_def) = sP3_iProver_def
    | sk_c6 = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_413,c_383]) ).

cnf(c_868,plain,
    ( X0 != X1
    | sk_c6 != X1
    | sk_c6 = X0 ),
    inference(instantiation,[status(thm)],[c_430]) ).

cnf(c_913,plain,
    ( X0 != X1
    | sk_c6 != X1
    | X0 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_430]) ).

cnf(c_922,plain,
    ( multiply(sk_c4,sP5_iProver_def) = sP8_iProver_def
    | sk_c7 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_401,c_388]) ).

cnf(c_939,plain,
    ( multiply(sk_c3,sP11_iProver_def) = sP10_iProver_def
    | sk_c7 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_410,c_390]) ).

cnf(c_940,plain,
    ( multiply(sk_c3,sP11_iProver_def) = sP10_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_408,c_390]) ).

cnf(c_942,plain,
    ( multiply(sk_c3,sP9_iProver_def) = sP10_iProver_def
    | sk_c7 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_402,c_390]) ).

cnf(c_951,plain,
    ( sk_c6 != sP10_iProver_def
    | sP3_iProver_def != sP10_iProver_def
    | sP3_iProver_def = sk_c6 ),
    inference(instantiation,[status(thm)],[c_847]) ).

cnf(c_952,plain,
    ( X0 != sP10_iProver_def
    | sk_c6 != sP10_iProver_def
    | sk_c6 = X0 ),
    inference(instantiation,[status(thm)],[c_868]) ).

cnf(c_979,plain,
    multiply(sP9_iProver_def,sk_c3) = identity,
    inference(superposition,[status(thm)],[c_389,c_81]) ).

cnf(c_980,plain,
    multiply(sP5_iProver_def,sk_c7) = identity,
    inference(superposition,[status(thm)],[c_385,c_81]) ).

cnf(c_981,plain,
    multiply(sP7_iProver_def,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_387,c_81]) ).

cnf(c_982,plain,
    multiply(sP12_iProver_def,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_392,c_81]) ).

cnf(c_983,plain,
    multiply(sP11_iProver_def,sk_c2) = identity,
    inference(superposition,[status(thm)],[c_391,c_81]) ).

cnf(c_984,plain,
    ( sP3_iProver_def != X0
    | sP8_iProver_def != X0
    | sP3_iProver_def = sP8_iProver_def ),
    inference(instantiation,[status(thm)],[c_430]) ).

cnf(c_997,plain,
    ( sk_c6 = sP3_iProver_def
    | sP8_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_415,c_412]) ).

cnf(c_998,plain,
    ( multiply(sk_c2,sP10_iProver_def) = sP6_iProver_def
    | sk_c6 = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_415,c_386]) ).

cnf(c_1012,plain,
    ( inverse(X0) != X1
    | sk_c7 != X1
    | inverse(X0) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_430]) ).

cnf(c_1093,plain,
    ( X0 != sP13_iProver_def
    | sk_c6 != sP13_iProver_def
    | X0 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_913]) ).

cnf(c_1126,plain,
    ( inverse(X0) != X1
    | X2 != X1
    | inverse(X0) = X2 ),
    inference(instantiation,[status(thm)],[c_430]) ).

cnf(c_1127,plain,
    ( inverse(X0) != inverse(X1)
    | sk_c7 != inverse(X1)
    | inverse(X0) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_1012]) ).

cnf(c_1177,plain,
    ( multiply(sk_c7,sP5_iProver_def) = sP3_iProver_def
    | sk_c7 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_419,c_383]) ).

cnf(c_1188,plain,
    ( sk_c6 != sP3_iProver_def
    | sP3_iProver_def != sP3_iProver_def
    | sP3_iProver_def = sk_c6 ),
    inference(instantiation,[status(thm)],[c_847]) ).

cnf(c_1202,plain,
    ( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_420,c_393]) ).

cnf(c_1205,plain,
    ( sk_c7 = sP9_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_420,c_408]) ).

cnf(c_1229,plain,
    sP3_iProver_def = sP3_iProver_def,
    inference(instantiation,[status(thm)],[c_429]) ).

cnf(c_1230,plain,
    ( X0 != X1
    | sP3_iProver_def != X1
    | sP3_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_430]) ).

cnf(c_1242,plain,
    ( sk_c7 = sP12_iProver_def
    | sP8_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_421,c_418]) ).

cnf(c_1246,plain,
    ( multiply(sk_c2,sP10_iProver_def) = sP6_iProver_def
    | sk_c7 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_421,c_386]) ).

cnf(c_1282,plain,
    ( sk_c7 = sP4_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_422,c_410]) ).

cnf(c_1286,plain,
    ( sk_c7 = sP4_iProver_def
    | sP6_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_422,c_404]) ).

cnf(c_1428,plain,
    ( sP3_iProver_def != sP10_iProver_def
    | sP8_iProver_def != sP10_iProver_def
    | sP3_iProver_def = sP8_iProver_def ),
    inference(instantiation,[status(thm)],[c_984]) ).

cnf(c_1460,plain,
    ( multiply(sk_c7,sP5_iProver_def) = sP3_iProver_def
    | sk_c6 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_425,c_383]) ).

cnf(c_1499,plain,
    ( inverse(sk_c7) != sP5_iProver_def
    | X0 != sP5_iProver_def
    | inverse(sk_c7) = X0 ),
    inference(instantiation,[status(thm)],[c_1126]) ).

cnf(c_1501,plain,
    ( inverse(sk_c3) != sP9_iProver_def
    | X0 != sP9_iProver_def
    | inverse(sk_c3) = X0 ),
    inference(instantiation,[status(thm)],[c_1126]) ).

cnf(c_1523,plain,
    ( sk_c7 = sP9_iProver_def
    | sP3_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_426,c_414]) ).

cnf(c_1526,plain,
    ( multiply(sk_c2,sP13_iProver_def) = sP6_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_426,c_386]) ).

cnf(c_1625,plain,
    ( sk_c7 = sP4_iProver_def
    | sk_c6 = sP10_iProver_def
    | sP3_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_427,c_416]) ).

cnf(c_1630,plain,
    ( multiply(sk_c2,sP13_iProver_def) = sP6_iProver_def
    | sk_c6 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_427,c_386]) ).

cnf(c_1684,plain,
    ( sk_c6 != sP10_iProver_def
    | sP3_iProver_def != sP10_iProver_def
    | sk_c6 = sP3_iProver_def ),
    inference(instantiation,[status(thm)],[c_952]) ).

cnf(c_1717,plain,
    ( sk_c7 = sP4_iProver_def
    | sP3_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_428,c_416]) ).

cnf(c_1815,plain,
    ( inverse(X0) != X1
    | sk_c7 != X1
    | sk_c7 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_430]) ).

cnf(c_1955,plain,
    ( X0 != sk_c6
    | sP3_iProver_def != sk_c6
    | sP3_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_1230]) ).

cnf(c_1970,plain,
    ( inverse(sk_c4) != sk_c5
    | sk_c6 != sP8_iProver_def
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_388,c_396]) ).

cnf(c_1971,plain,
    ( inverse(sk_c7) != sk_c5
    | sk_c6 != sP3_iProver_def
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_383,c_396]) ).

cnf(c_1987,plain,
    ( sk_c6 != sP3_iProver_def
    | sk_c5 != sP5_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1971,c_385]) ).

cnf(c_1991,plain,
    ( sk_c6 != sP8_iProver_def
    | sk_c5 != sP7_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1970,c_387]) ).

cnf(c_2089,plain,
    ( inverse(sk_c2) != sk_c7
    | sk_c7 != sP6_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_386,c_397]) ).

cnf(c_2102,plain,
    ( multiply(X0,sP10_iProver_def) != sk_c7
    | inverse(X0) != sk_c7
    | ~ sP1_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_409,c_397]) ).

cnf(c_2104,plain,
    ( multiply(X0,sP10_iProver_def) != sk_c7
    | inverse(X0) != sk_c7
    | ~ sP1_iProver_def
    | sk_c7 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_403,c_397]) ).

cnf(c_2109,plain,
    ( sk_c7 != sP6_iProver_def
    | sk_c7 != sP11_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2089,c_391]) ).

cnf(c_2173,plain,
    ( multiply(sk_c7,sP10_iProver_def) != sk_c7
    | inverse(sk_c7) != sk_c7
    | ~ sP1_iProver_def
    | sk_c7 = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_2104]) ).

cnf(c_2175,plain,
    ( multiply(sk_c7,sP10_iProver_def) != sk_c7
    | inverse(sk_c7) != sk_c7
    | ~ sP1_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(instantiation,[status(thm)],[c_2102]) ).

cnf(c_2247,plain,
    ( inverse(sk_c1) != sk_c7
    | sk_c6 != sP13_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_393,c_398]) ).

cnf(c_2248,plain,
    ( inverse(sk_c3) != sk_c7
    | sk_c6 != sP10_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_390,c_398]) ).

cnf(c_2267,plain,
    ( sk_c7 != sP9_iProver_def
    | sk_c6 != sP10_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2248,c_389]) ).

cnf(c_2271,plain,
    ( sk_c7 != sP12_iProver_def
    | sk_c6 != sP13_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2247,c_392]) ).

cnf(c_2371,plain,
    ( sk_c7 != sP4_iProver_def
    | sk_c5 != sP5_iProver_def
    | sP3_iProver_def != sP13_iProver_def
    | sk_c6 = sP10_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_427,c_394]) ).

cnf(c_2378,plain,
    ( sk_c7 != sP4_iProver_def
    | sk_c5 != sP5_iProver_def
    | sk_c7 = sP9_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_414,c_394]) ).

cnf(c_2380,plain,
    ( sk_c7 != sP4_iProver_def
    | sk_c5 != sP5_iProver_def
    | sP3_iProver_def != sP10_iProver_def
    | sk_c7 = sP11_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_409,c_394]) ).

cnf(c_2383,plain,
    ( sk_c7 != sP4_iProver_def
    | sk_c5 != sP5_iProver_def
    | sP3_iProver_def != sP8_iProver_def
    | sk_c7 = sP6_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_400,c_394]) ).

cnf(c_2799,plain,
    ( sk_c7 != sP4_iProver_def
    | sk_c5 != sP5_iProver_def
    | sP8_iProver_def = sP10_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_997,c_394]) ).

cnf(c_2966,plain,
    multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sP13_iProver_def,X0),
    inference(superposition,[status(thm)],[c_393,c_82]) ).

cnf(c_2968,plain,
    multiply(sk_c3,multiply(sk_c7,X0)) = multiply(sP10_iProver_def,X0),
    inference(superposition,[status(thm)],[c_390,c_82]) ).

cnf(c_2973,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_81,c_82]) ).

cnf(c_2975,plain,
    multiply(sP9_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_979,c_82]) ).

cnf(c_2976,plain,
    multiply(sP5_iProver_def,multiply(sk_c7,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_980,c_82]) ).

cnf(c_2977,plain,
    multiply(sP7_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_981,c_82]) ).

cnf(c_2978,plain,
    multiply(sP12_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_982,c_82]) ).

cnf(c_2979,plain,
    multiply(sP11_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_983,c_82]) ).

cnf(c_2984,plain,
    multiply(sP11_iProver_def,multiply(sk_c2,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2979,c_80]) ).

cnf(c_2985,plain,
    multiply(sP12_iProver_def,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2978,c_80]) ).

cnf(c_2986,plain,
    multiply(sP7_iProver_def,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2977,c_80]) ).

cnf(c_2987,plain,
    multiply(sP5_iProver_def,multiply(sk_c7,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2976,c_80]) ).

cnf(c_2988,plain,
    multiply(sP9_iProver_def,multiply(sk_c3,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2975,c_80]) ).

cnf(c_3126,plain,
    ( X0 != X1
    | sP5_iProver_def != X1
    | X0 = sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_430]) ).

cnf(c_3128,plain,
    ( inverse(sk_c7) != sP5_iProver_def
    | inverse(sk_c3) != sP5_iProver_def
    | inverse(sk_c7) = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_1499]) ).

cnf(c_3158,plain,
    ( multiply(sk_c3,sP9_iProver_def) = sP10_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_1205,c_390]) ).

cnf(c_3293,plain,
    ( sP6_iProver_def = sP12_iProver_def
    | sP8_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_1242,c_657]) ).

cnf(c_3368,plain,
    ( inverse(sP4_iProver_def) = sP5_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_1282,c_385]) ).

cnf(c_3461,plain,
    ( inverse(sP4_iProver_def) = sP5_iProver_def
    | sP6_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_1286,c_385]) ).

cnf(c_3518,plain,
    ( inverse(sk_c3) != sP9_iProver_def
    | sk_c7 != sP9_iProver_def
    | sk_c7 = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_1815]) ).

cnf(c_3619,plain,
    ( multiply(sk_c3,sP9_iProver_def) = sP10_iProver_def
    | sP3_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_1523,c_390]) ).

cnf(c_3717,plain,
    ( inverse(sP4_iProver_def) = sP5_iProver_def
    | sP3_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_1717,c_385]) ).

cnf(c_3922,plain,
    multiply(sP11_iProver_def,sP6_iProver_def) = sk_c6,
    inference(superposition,[status(thm)],[c_386,c_2984]) ).

cnf(c_3927,plain,
    multiply(sP12_iProver_def,sP13_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_393,c_2985]) ).

cnf(c_3990,plain,
    multiply(sP7_iProver_def,sP8_iProver_def) = sk_c5,
    inference(superposition,[status(thm)],[c_388,c_2986]) ).

cnf(c_4050,plain,
    ( multiply(sP4_iProver_def,sP7_iProver_def) = sP3_iProver_def
    | sk_c7 = sP11_iProver_def
    | sP6_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_1286,c_690]) ).

cnf(c_4051,plain,
    ( multiply(sP4_iProver_def,sP7_iProver_def) = sP3_iProver_def
    | sk_c7 = sP11_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_1282,c_690]) ).

cnf(c_4366,plain,
    ( multiply(sP10_iProver_def,sP5_iProver_def) = sP4_iProver_def
    | sk_c7 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_401,c_710]) ).

cnf(c_4525,plain,
    multiply(sP5_iProver_def,sP3_iProver_def) = sk_c5,
    inference(superposition,[status(thm)],[c_383,c_2987]) ).

cnf(c_4674,plain,
    multiply(sP9_iProver_def,sP10_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_390,c_2988]) ).

cnf(c_5042,plain,
    ( multiply(sP10_iProver_def,sP5_iProver_def) = sP4_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_409,c_742]) ).

cnf(c_5117,plain,
    ( multiply(sP5_iProver_def,sP3_iProver_def) = sP5_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_743,c_2987]) ).

cnf(c_5118,plain,
    ( sk_c7 = sP11_iProver_def
    | sk_c5 = sP5_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5117,c_4525]) ).

cnf(c_5242,plain,
    ( sP3_iProver_def != sk_c6
    | sP13_iProver_def != sk_c6
    | sP3_iProver_def = sP13_iProver_def ),
    inference(instantiation,[status(thm)],[c_1955]) ).

cnf(c_5506,plain,
    ( sk_c6 != sP13_iProver_def
    | sP13_iProver_def != sP13_iProver_def
    | sP13_iProver_def = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1093]) ).

cnf(c_5507,plain,
    sP13_iProver_def = sP13_iProver_def,
    inference(instantiation,[status(thm)],[c_429]) ).

cnf(c_5675,plain,
    ( multiply(sP5_iProver_def,sP3_iProver_def) = sP7_iProver_def
    | sk_c6 = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_815,c_2987]) ).

cnf(c_5676,plain,
    ( sk_c6 = sP3_iProver_def
    | sk_c5 = sP7_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5675,c_4525]) ).

cnf(c_5730,plain,
    ( multiply(sP11_iProver_def,sP6_iProver_def) = sP8_iProver_def
    | sk_c6 = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_834,c_2984]) ).

cnf(c_5731,plain,
    ( sk_c6 = sP3_iProver_def
    | sk_c6 = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5730,c_3922]) ).

cnf(c_5780,plain,
    ( multiply(sP10_iProver_def,sP5_iProver_def) = sP4_iProver_def
    | sk_c6 = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_415,c_857]) ).

cnf(c_6162,plain,
    ( inverse(X0) != inverse(sk_c3)
    | sk_c7 != inverse(sk_c3)
    | inverse(X0) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_1127]) ).

cnf(c_6163,plain,
    ( inverse(sk_c7) != inverse(sk_c3)
    | sk_c7 != inverse(sk_c3)
    | inverse(sk_c7) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_6162]) ).

cnf(c_6307,plain,
    ( multiply(sP7_iProver_def,sP8_iProver_def) = sP5_iProver_def
    | sk_c7 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_922,c_2986]) ).

cnf(c_6308,plain,
    ( sk_c7 = sP6_iProver_def
    | sk_c5 = sP5_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6307,c_3990]) ).

cnf(c_6566,plain,
    ( multiply(sP9_iProver_def,sP10_iProver_def) = sP11_iProver_def
    | sk_c7 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_939,c_2988]) ).

cnf(c_6567,plain,
    ( sk_c7 = sP4_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6566,c_4674]) ).

cnf(c_6580,plain,
    ( multiply(sP9_iProver_def,sP10_iProver_def) = sP11_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_940,c_2988]) ).

cnf(c_6581,plain,
    ( sk_c7 = sP9_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6580,c_4674]) ).

cnf(c_6674,plain,
    ( multiply(sP11_iProver_def,sP6_iProver_def) = sP10_iProver_def
    | sk_c6 = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_998,c_2984]) ).

cnf(c_6675,plain,
    ( sk_c6 = sP3_iProver_def
    | sk_c6 = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6674,c_3922]) ).

cnf(c_7490,plain,
    ( multiply(sP12_iProver_def,sP13_iProver_def) = sP12_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_1202,c_2985]) ).

cnf(c_7491,plain,
    ( sk_c7 = sP9_iProver_def
    | sk_c7 = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_7490,c_3927]) ).

cnf(c_7557,plain,
    ( multiply(sP11_iProver_def,sP6_iProver_def) = sP10_iProver_def
    | sk_c7 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_1246,c_2984]) ).

cnf(c_7558,plain,
    ( sk_c7 = sP12_iProver_def
    | sk_c6 = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_7557,c_3922]) ).

cnf(c_8241,plain,
    ( multiply(sP11_iProver_def,sP6_iProver_def) = sP13_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_1526,c_2984]) ).

cnf(c_8242,plain,
    ( sk_c7 = sP9_iProver_def
    | sk_c6 = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_8241,c_3922]) ).

cnf(c_8346,plain,
    ( multiply(sP11_iProver_def,sP6_iProver_def) = sP13_iProver_def
    | sk_c6 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_1630,c_2984]) ).

cnf(c_8347,plain,
    ( sk_c6 = sP10_iProver_def
    | sk_c6 = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_8346,c_3922]) ).

cnf(c_10580,plain,
    ( sk_c6 = sP10_iProver_def
    | sP3_iProver_def = sP13_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_1625,c_1188,c_1229,c_5242,c_5506,c_5507,c_6675,c_8347]) ).

cnf(c_10637,plain,
    ( multiply(X0,sP10_iProver_def) != sk_c7
    | inverse(X0) != sk_c7
    | ~ sP1_iProver_def
    | sP3_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_10580,c_397]) ).

cnf(c_10685,plain,
    ( multiply(sk_c7,sP10_iProver_def) != sk_c7
    | inverse(sk_c7) != sk_c7
    | ~ sP1_iProver_def
    | sP3_iProver_def = sP13_iProver_def ),
    inference(instantiation,[status(thm)],[c_10637]) ).

cnf(c_11228,plain,
    ( inverse(sk_c3) != sP9_iProver_def
    | sP5_iProver_def != sP9_iProver_def
    | inverse(sk_c3) = sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_1501]) ).

cnf(c_12257,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_2973,c_80]) ).

cnf(c_12288,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_81,c_12257]) ).

cnf(c_12442,plain,
    multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c3,X0),
    inference(superposition,[status(thm)],[c_2988,c_12257]) ).

cnf(c_12443,plain,
    multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_2987,c_12257]) ).

cnf(c_12483,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_12257,c_12257]) ).

cnf(c_13251,plain,
    ( X0 != sk_c5
    | sP5_iProver_def != sk_c5
    | X0 = sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_3126]) ).

cnf(c_13399,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_12288,c_12483]) ).

cnf(c_13448,plain,
    ( sk_c5 != sP5_iProver_def
    | ~ sP2_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_1987,c_1991,c_1987,c_5676,c_5731]) ).

cnf(c_13470,plain,
    ( ~ sP2_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_407,c_13448]) ).

cnf(c_13472,plain,
    ( ~ sP2_iProver_def
    | sk_c7 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_401,c_13448]) ).

cnf(c_13769,plain,
    ( sk_c6 != sP10_iProver_def
    | ~ sP0_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_2267,c_2271,c_2267,c_7491,c_8242]) ).

cnf(c_13771,plain,
    ~ sP0_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_13769,c_2271,c_7558,c_8347,c_13769]) ).

cnf(c_13773,plain,
    ( sk_c7 != sP4_iProver_def
    | sk_c6 != sP3_iProver_def
    | sk_c5 != sP5_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(backward_subsumption_resolution,[status(thm)],[c_394,c_13771]) ).

cnf(c_14751,plain,
    multiply(sk_c3,sP9_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_12442,c_81]) ).

cnf(c_14757,plain,
    multiply(sk_c3,identity) = inverse(sP9_iProver_def),
    inference(superposition,[status(thm)],[c_12442,c_13399]) ).

cnf(c_14770,plain,
    ( identity = sP10_iProver_def
    | sP3_iProver_def = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_3619,c_14751]) ).

cnf(c_14771,plain,
    ( identity = sP10_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(demodulation,[status(thm)],[c_3158,c_14751]) ).

cnf(c_14772,plain,
    ( sk_c7 = sP6_iProver_def
    | identity = sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_942,c_14751]) ).

cnf(c_15062,plain,
    ( multiply(X0,sP10_iProver_def) = X0
    | sP3_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_14770,c_13399]) ).

cnf(c_15063,plain,
    ( multiply(sP10_iProver_def,X0) = X0
    | sP3_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_14770,c_80]) ).

cnf(c_15071,plain,
    ( multiply(sk_c7,sP10_iProver_def) = sk_c7
    | sP3_iProver_def = sP13_iProver_def ),
    inference(instantiation,[status(thm)],[c_15062]) ).

cnf(c_15077,plain,
    ( multiply(X0,sP10_iProver_def) = X0
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_14771,c_13399]) ).

cnf(c_15086,plain,
    ( multiply(sk_c7,sP10_iProver_def) = sk_c7
    | sP11_iProver_def = sP12_iProver_def ),
    inference(instantiation,[status(thm)],[c_15077]) ).

cnf(c_15162,plain,
    ( sk_c7 = sP9_iProver_def
    | identity = sP10_iProver_def
    | sP6_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_14772,c_420]) ).

cnf(c_15283,plain,
    inverse(sP9_iProver_def) = sk_c3,
    inference(demodulation,[status(thm)],[c_14757,c_13399]) ).

cnf(c_16278,plain,
    ( multiply(sk_c3,sP9_iProver_def) = sP10_iProver_def
    | identity = sP10_iProver_def
    | sP6_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_15162,c_390]) ).

cnf(c_16294,plain,
    ( identity = sP10_iProver_def
    | sP6_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_16278,c_14751]) ).

cnf(c_16310,plain,
    ( multiply(X0,sP10_iProver_def) = X0
    | sP6_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_16294,c_13399]) ).

cnf(c_16311,plain,
    ( multiply(sP10_iProver_def,X0) = X0
    | sP6_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_16294,c_80]) ).

cnf(c_16319,plain,
    ( multiply(sk_c7,sP10_iProver_def) = sk_c7
    | sP6_iProver_def = sP12_iProver_def ),
    inference(instantiation,[status(thm)],[c_16310]) ).

cnf(c_16603,plain,
    multiply(sk_c7,sP5_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_12443,c_81]) ).

cnf(c_16609,plain,
    multiply(sk_c7,identity) = inverse(sP5_iProver_def),
    inference(superposition,[status(thm)],[c_12443,c_13399]) ).

cnf(c_16623,plain,
    ( sk_c6 = sP13_iProver_def
    | identity = sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_1460,c_16603]) ).

cnf(c_16624,plain,
    ( sk_c7 = sP12_iProver_def
    | identity = sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_1177,c_16603]) ).

cnf(c_16625,plain,
    ( sk_c6 = sP3_iProver_def
    | identity = sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_858,c_16603]) ).

cnf(c_16626,plain,
    ( sk_c7 = sP11_iProver_def
    | identity = sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_743,c_16603]) ).

cnf(c_16627,plain,
    ( sk_c7 = sP6_iProver_def
    | identity = sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_691,c_16603]) ).

cnf(c_16685,plain,
    multiply(sk_c3,identity) = multiply(sP10_iProver_def,sP5_iProver_def),
    inference(superposition,[status(thm)],[c_16603,c_2968]) ).

cnf(c_16686,plain,
    multiply(sk_c1,identity) = multiply(sP13_iProver_def,sP5_iProver_def),
    inference(superposition,[status(thm)],[c_16603,c_2966]) ).

cnf(c_16689,plain,
    multiply(sP10_iProver_def,sP5_iProver_def) = sk_c3,
    inference(light_normalisation,[status(thm)],[c_16685,c_14757,c_15283]) ).

cnf(c_16738,plain,
    ( sk_c6 = sP3_iProver_def
    | sk_c3 = sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_5780,c_16689]) ).

cnf(c_16739,plain,
    ( sk_c7 = sP11_iProver_def
    | sk_c3 = sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_5042,c_16689]) ).

cnf(c_16740,plain,
    ( sk_c7 = sP6_iProver_def
    | sk_c3 = sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_4366,c_16689]) ).

cnf(c_17484,plain,
    ( identity = sP3_iProver_def
    | sP3_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_16625,c_16623]) ).

cnf(c_17601,plain,
    ( identity = sP3_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_16626,c_16624]) ).

cnf(c_17843,plain,
    inverse(sP5_iProver_def) = sk_c7,
    inference(demodulation,[status(thm)],[c_16609,c_13399]) ).

cnf(c_18320,plain,
    ( identity = sP3_iProver_def
    | sP6_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_16627,c_16624]) ).

cnf(c_18360,plain,
    ( inverse(sP6_iProver_def) = sP5_iProver_def
    | identity = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_16627,c_385]) ).

cnf(c_18502,plain,
    multiply(sP13_iProver_def,sP5_iProver_def) = sk_c1,
    inference(demodulation,[status(thm)],[c_16686,c_13399]) ).

cnf(c_18539,plain,
    ( sk_c5 != sk_c5
    | sP5_iProver_def != sk_c5
    | sk_c5 = sP5_iProver_def ),
    inference(instantiation,[status(thm)],[c_13251]) ).

cnf(c_18540,plain,
    sk_c5 = sk_c5,
    inference(instantiation,[status(thm)],[c_429]) ).

cnf(c_18857,plain,
    ( inverse(sP4_iProver_def) = sP9_iProver_def
    | sk_c6 = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_16738,c_389]) ).

cnf(c_19533,plain,
    ( inverse(sP4_iProver_def) = sP9_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_16739,c_389]) ).

cnf(c_19686,plain,
    ( inverse(sP4_iProver_def) = sP9_iProver_def
    | sk_c7 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_16740,c_389]) ).

cnf(c_19985,plain,
    ( sk_c7 = sP11_iProver_def
    | sP3_iProver_def = sP13_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_19533,c_3717]) ).

cnf(c_19986,plain,
    ( sk_c7 = sP11_iProver_def
    | sP5_iProver_def = sP9_iProver_def
    | sP6_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_19533,c_3461]) ).

cnf(c_19987,plain,
    ( sk_c7 = sP11_iProver_def
    | sP5_iProver_def = sP9_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_19533,c_3368]) ).

cnf(c_20106,plain,
    ( sk_c7 = sP6_iProver_def
    | sP3_iProver_def = sP13_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_19686,c_3717]) ).

cnf(c_20107,plain,
    ( sk_c7 = sP6_iProver_def
    | sP5_iProver_def = sP9_iProver_def
    | sP6_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_19686,c_3461]) ).

cnf(c_20336,plain,
    ( sP3_iProver_def = sP10_iProver_def
    | sP3_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_17484,c_14770]) ).

cnf(c_20364,plain,
    ( sP3_iProver_def = sP10_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_17601,c_14771]) ).

cnf(c_20368,plain,
    ( multiply(sP3_iProver_def,X0) = X0
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_17601,c_80]) ).

cnf(c_20571,plain,
    sP3_iProver_def = sP13_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_15063,c_385,c_389,c_394,c_425,c_428,c_951,c_1523,c_2109,c_2271,c_3128,c_3518,c_5242,c_6163,c_7558,c_8347,c_10580,c_10685,c_11228,c_13448,c_13769,c_15071,c_18539,c_18540,c_19985,c_20106,c_20336]) ).

cnf(c_20578,plain,
    multiply(sP3_iProver_def,sP5_iProver_def) = sk_c1,
    inference(demodulation,[status(thm)],[c_18502,c_20571]) ).

cnf(c_20644,plain,
    multiply(sP12_iProver_def,sP3_iProver_def) = sk_c7,
    inference(demodulation,[status(thm)],[c_3927,c_20571]) ).

cnf(c_20977,plain,
    ( sP3_iProver_def = sP10_iProver_def
    | sP6_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_18320,c_16294]) ).

cnf(c_22453,plain,
    ( sk_c3 = sP5_iProver_def
    | sP6_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_16311,c_16689]) ).

cnf(c_23592,plain,
    ( inverse(sP5_iProver_def) = sP9_iProver_def
    | sP6_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_22453,c_389]) ).

cnf(c_23593,plain,
    ( sk_c7 = sP9_iProver_def
    | sP6_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_23592,c_17843]) ).

cnf(c_24122,plain,
    ( sk_c7 = sP11_iProver_def
    | sP6_iProver_def = sP12_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_4050,c_385,c_389,c_2175,c_2271,c_2380,c_3128,c_3518,c_5118,c_6163,c_6567,c_6581,c_7558,c_8347,c_11228,c_13470,c_13769,c_16319,c_19986,c_20977]) ).

cnf(c_24198,plain,
    ( sk_c7 = sP6_iProver_def
    | sP6_iProver_def = sP12_iProver_def
    | sP9_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_24122,c_402]) ).

cnf(c_24864,plain,
    ( sP6_iProver_def = sP12_iProver_def
    | sk_c7 = sP6_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_24198,c_385,c_389,c_1286,c_1428,c_2173,c_2271,c_2383,c_3128,c_3293,c_3518,c_6163,c_6308,c_7558,c_8347,c_11228,c_13472,c_13769,c_16319,c_20107,c_20977,c_23593]) ).

cnf(c_24865,plain,
    ( sk_c7 = sP6_iProver_def
    | sP6_iProver_def = sP12_iProver_def ),
    inference(renaming,[status(thm)],[c_24864]) ).

cnf(c_24903,plain,
    ( sP6_iProver_def = sP11_iProver_def
    | sP6_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_24865,c_24122]) ).

cnf(c_25224,plain,
    ( sk_c7 = sP11_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_4051,c_385,c_389,c_2175,c_2271,c_2380,c_3128,c_3518,c_5118,c_6163,c_6567,c_6581,c_7558,c_8347,c_11228,c_13470,c_13769,c_15086,c_19987,c_20364]) ).

cnf(c_26703,plain,
    ( sk_c6 = sP3_iProver_def
    | sP8_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_415,c_412]) ).

cnf(c_27581,plain,
    ( sP1_iProver_def
    | sP3_iProver_def != sk_c6
    | sP4_iProver_def != sk_c7
    | sP5_iProver_def != sk_c5 ),
    inference(global_subsumption_just,[status(thm)],[c_394,c_394,c_13448,c_13771,c_18539,c_18540]) ).

cnf(c_27582,negated_conjecture,
    ( sP3_iProver_def != sk_c6
    | sP4_iProver_def != sk_c7
    | sP5_iProver_def != sk_c5
    | sP1_iProver_def ),
    inference(renaming,[status(thm)],[c_27581]) ).

cnf(c_27974,plain,
    ( sk_c7 != sP4_iProver_def
    | sk_c5 != sP5_iProver_def
    | sP8_iProver_def = sP10_iProver_def
    | sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_26703,c_27582]) ).

cnf(c_30242,plain,
    ( sk_c1 = sP5_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_20368,c_20578]) ).

cnf(c_31302,plain,
    ( inverse(sP5_iProver_def) = sP12_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_30242,c_392]) ).

cnf(c_31303,plain,
    ( sk_c7 = sP12_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_31302,c_17843]) ).

cnf(c_31394,plain,
    sP11_iProver_def = sP12_iProver_def,
    inference(superposition,[status(thm)],[c_31303,c_25224]) ).

cnf(c_31441,plain,
    sP6_iProver_def = sP11_iProver_def,
    inference(demodulation,[status(thm)],[c_24903,c_31394]) ).

cnf(c_31463,plain,
    multiply(sP11_iProver_def,sP3_iProver_def) = sk_c7,
    inference(demodulation,[status(thm)],[c_20644,c_31394]) ).

cnf(c_31526,plain,
    inverse(sk_c1) = sP11_iProver_def,
    inference(demodulation,[status(thm)],[c_392,c_31394]) ).

cnf(c_31556,plain,
    ( sk_c7 != sP6_iProver_def
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_2109,c_31441]) ).

cnf(c_31591,plain,
    multiply(sP6_iProver_def,sP6_iProver_def) = sk_c6,
    inference(demodulation,[status(thm)],[c_3922,c_31441]) ).

cnf(c_31597,plain,
    multiply(sP6_iProver_def,sk_c2) = identity,
    inference(demodulation,[status(thm)],[c_983,c_31441]) ).

cnf(c_31653,plain,
    inverse(sk_c1) = sP6_iProver_def,
    inference(light_normalisation,[status(thm)],[c_31526,c_31441]) ).

cnf(c_31659,plain,
    multiply(sP6_iProver_def,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_31653,c_81]) ).

cnf(c_31673,plain,
    multiply(sP6_iProver_def,sP3_iProver_def) = sk_c7,
    inference(light_normalisation,[status(thm)],[c_31463,c_31441]) ).

cnf(c_31674,plain,
    multiply(inverse(sP6_iProver_def),sk_c7) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_31673,c_12257]) ).

cnf(c_31701,plain,
    multiply(inverse(sP6_iProver_def),identity) = sk_c1,
    inference(superposition,[status(thm)],[c_31659,c_12257]) ).

cnf(c_31779,plain,
    multiply(inverse(sP6_iProver_def),identity) = sk_c2,
    inference(superposition,[status(thm)],[c_31597,c_12257]) ).

cnf(c_31782,plain,
    sk_c1 = sk_c2,
    inference(light_normalisation,[status(thm)],[c_31779,c_31701]) ).

cnf(c_31799,plain,
    multiply(sk_c1,sk_c6) = sP6_iProver_def,
    inference(demodulation,[status(thm)],[c_386,c_31782]) ).

cnf(c_32272,plain,
    ( multiply(sP5_iProver_def,sk_c7) = sP3_iProver_def
    | identity = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_18360,c_31674]) ).

cnf(c_32298,plain,
    identity = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_32272,c_980]) ).

cnf(c_32313,plain,
    multiply(sP6_iProver_def,sk_c1) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_31659,c_32298]) ).

cnf(c_32328,plain,
    multiply(X0,sP3_iProver_def) = X0,
    inference(demodulation,[status(thm)],[c_13399,c_32298]) ).

cnf(c_32337,plain,
    multiply(sP3_iProver_def,X0) = X0,
    inference(demodulation,[status(thm)],[c_80,c_32298]) ).

cnf(c_32354,plain,
    sk_c1 = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_20578,c_32337]) ).

cnf(c_32355,plain,
    multiply(sP5_iProver_def,sk_c6) = sP6_iProver_def,
    inference(demodulation,[status(thm)],[c_31799,c_32354]) ).

cnf(c_32359,plain,
    inverse(sP5_iProver_def) = sP6_iProver_def,
    inference(demodulation,[status(thm)],[c_31653,c_32354]) ).

cnf(c_32371,plain,
    sk_c7 = sP6_iProver_def,
    inference(light_normalisation,[status(thm)],[c_32359,c_17843]) ).

cnf(c_32372,plain,
    ~ sP1_iProver_def,
    inference(backward_subsumption_resolution,[status(thm)],[c_31556,c_32371]) ).

cnf(c_32379,plain,
    inverse(sP5_iProver_def) = sP6_iProver_def,
    inference(demodulation,[status(thm)],[c_17843,c_32371]) ).

cnf(c_32396,plain,
    inverse(sP6_iProver_def) = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_385,c_32371]) ).

cnf(c_32446,plain,
    sk_c5 = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_4525,c_32328]) ).

cnf(c_32447,plain,
    ~ sP2_iProver_def,
    inference(backward_subsumption_resolution,[status(thm)],[c_13448,c_32446]) ).

cnf(c_32460,plain,
    multiply(sk_c6,sP5_iProver_def) = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_384,c_32446]) ).

cnf(c_32627,plain,
    multiply(sP6_iProver_def,sP5_iProver_def) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_32313,c_32354]) ).

cnf(c_32735,plain,
    ( sk_c7 = sP9_iProver_def
    | sk_c7 != sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_2378,c_2271,c_2378,c_7558,c_8347,c_13769,c_32447,c_32372,c_32446]) ).

cnf(c_32736,plain,
    ( sk_c7 != sP4_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(renaming,[status(thm)],[c_32735]) ).

cnf(c_32737,plain,
    ( sP4_iProver_def != sP6_iProver_def
    | sP6_iProver_def = sP9_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_32736,c_32371]) ).

cnf(c_32749,plain,
    ( sP8_iProver_def = sP10_iProver_def
    | sk_c7 != sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_2799,c_27974,c_32372,c_32446]) ).

cnf(c_32750,plain,
    ( sk_c7 != sP4_iProver_def
    | sP8_iProver_def = sP10_iProver_def ),
    inference(renaming,[status(thm)],[c_32749]) ).

cnf(c_32751,plain,
    ( sP4_iProver_def != sP6_iProver_def
    | sP8_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_32750,c_32371]) ).

cnf(c_32800,plain,
    multiply(sP5_iProver_def,multiply(sk_c6,X0)) = multiply(sP6_iProver_def,X0),
    inference(superposition,[status(thm)],[c_32355,c_82]) ).

cnf(c_33025,plain,
    ( sk_c6 != sP3_iProver_def
    | sk_c7 != sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_13773,c_13773,c_32447,c_32372,c_32446]) ).

cnf(c_33026,plain,
    ( sk_c7 != sP4_iProver_def
    | sk_c6 != sP3_iProver_def ),
    inference(renaming,[status(thm)],[c_33025]) ).

cnf(c_33027,plain,
    ( sk_c6 != sP3_iProver_def
    | sP4_iProver_def != sP6_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_33026,c_32371]) ).

cnf(c_33089,plain,
    multiply(sP5_iProver_def,sP4_iProver_def) = multiply(sP6_iProver_def,sP5_iProver_def),
    inference(superposition,[status(thm)],[c_32460,c_32800]) ).

cnf(c_33105,plain,
    multiply(sP5_iProver_def,sP4_iProver_def) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_33089,c_32627]) ).

cnf(c_33155,plain,
    multiply(inverse(sP5_iProver_def),sP3_iProver_def) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_33105,c_12257]) ).

cnf(c_33158,plain,
    multiply(sP6_iProver_def,sP3_iProver_def) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_33155,c_32379]) ).

cnf(c_33161,plain,
    sP4_iProver_def = sP6_iProver_def,
    inference(demodulation,[status(thm)],[c_33158,c_32328]) ).

cnf(c_33163,plain,
    ( sk_c6 != sP3_iProver_def
    | sP4_iProver_def != sP4_iProver_def ),
    inference(demodulation,[status(thm)],[c_33027,c_33161]) ).

cnf(c_33171,plain,
    ( sP4_iProver_def != sP4_iProver_def
    | sP8_iProver_def = sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_32751,c_33161]) ).

cnf(c_33173,plain,
    ( sP4_iProver_def != sP4_iProver_def
    | sP4_iProver_def = sP9_iProver_def ),
    inference(demodulation,[status(thm)],[c_32737,c_33161]) ).

cnf(c_33178,plain,
    inverse(sP4_iProver_def) = sP5_iProver_def,
    inference(demodulation,[status(thm)],[c_32396,c_33161]) ).

cnf(c_33180,plain,
    sk_c7 = sP4_iProver_def,
    inference(demodulation,[status(thm)],[c_32371,c_33161]) ).

cnf(c_33185,plain,
    multiply(sP4_iProver_def,sP4_iProver_def) = sk_c6,
    inference(demodulation,[status(thm)],[c_31591,c_33161]) ).

cnf(c_33191,plain,
    sP4_iProver_def = sP9_iProver_def,
    inference(equality_resolution_simp,[status(thm)],[c_33173]) ).

cnf(c_33193,plain,
    sP8_iProver_def = sP10_iProver_def,
    inference(equality_resolution_simp,[status(thm)],[c_33171]) ).

cnf(c_33198,plain,
    sk_c6 != sP3_iProver_def,
    inference(equality_resolution_simp,[status(thm)],[c_33163]) ).

cnf(c_33201,plain,
    ( sk_c6 = sP3_iProver_def
    | sP5_iProver_def = sP9_iProver_def ),
    inference(demodulation,[status(thm)],[c_18857,c_33178]) ).

cnf(c_33202,plain,
    sP5_iProver_def = sP9_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_33201,c_33198]) ).

cnf(c_33227,plain,
    sk_c6 = sP8_iProver_def,
    inference(backward_subsumption_resolution,[status(thm)],[c_5731,c_33198]) ).

cnf(c_33314,plain,
    sP4_iProver_def = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_33202,c_33191]) ).

cnf(c_33317,plain,
    multiply(sP4_iProver_def,sP4_iProver_def) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_33105,c_33314]) ).

cnf(c_33322,plain,
    sP3_iProver_def = sP8_iProver_def,
    inference(light_normalisation,[status(thm)],[c_33317,c_33185,c_33227]) ).

cnf(c_33323,plain,
    sP3_iProver_def = sP10_iProver_def,
    inference(demodulation,[status(thm)],[c_33193,c_33322]) ).

cnf(c_33324,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_33323,c_33180,c_33026,c_32446,c_32372,c_32447,c_20571,c_13771,c_2371,c_1684]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : GRP276-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.09  % Command  : run_iprover %s %d THM
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 300
% 0.08/0.28  % DateTime : Thu May  2 23:53:39 EDT 2024
% 0.08/0.28  % CPUTime  : 
% 0.12/0.36  Running first-order theorem proving
% 0.12/0.36  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.52/1.50  % SZS status Started for theBenchmark.p
% 7.52/1.50  % SZS status Unsatisfiable for theBenchmark.p
% 7.52/1.50  
% 7.52/1.50  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.52/1.50  
% 7.52/1.50  ------  iProver source info
% 7.52/1.50  
% 7.52/1.50  git: date: 2024-05-02 19:28:25 +0000
% 7.52/1.50  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.52/1.50  git: non_committed_changes: false
% 7.52/1.50  
% 7.52/1.50  ------ Parsing...successful
% 7.52/1.50  
% 7.52/1.50  
% 7.52/1.50  
% 7.52/1.50  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.52/1.50  
% 7.52/1.50  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.52/1.50  
% 7.52/1.50  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 7.52/1.50  ------ Proving...
% 7.52/1.50  ------ Problem Properties 
% 7.52/1.50  
% 7.52/1.50  
% 7.52/1.50  clauses                                 48
% 7.52/1.50  conjectures                             34
% 7.52/1.50  EPR                                     31
% 7.52/1.50  Horn                                    17
% 7.52/1.50  unary                                   14
% 7.52/1.50  binary                                  30
% 7.52/1.50  lits                                    89
% 7.52/1.50  lits eq                                 83
% 7.52/1.50  fd_pure                                 0
% 7.52/1.50  fd_pseudo                               0
% 7.52/1.50  fd_cond                                 0
% 7.52/1.50  fd_pseudo_cond                          0
% 7.52/1.50  AC symbols                              0
% 7.52/1.50  
% 7.52/1.50  ------ Schedule dynamic 5 is on 
% 7.52/1.50  
% 7.52/1.50  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.52/1.50  
% 7.52/1.50  
% 7.52/1.50  ------ 
% 7.52/1.50  Current options:
% 7.52/1.50  ------ 
% 7.52/1.50  
% 7.52/1.50  
% 7.52/1.50  
% 7.52/1.50  
% 7.52/1.50  ------ Proving...
% 7.52/1.50  
% 7.52/1.50  
% 7.52/1.50  % SZS status Unsatisfiable for theBenchmark.p
% 7.52/1.50  
% 7.52/1.50  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.52/1.50  
% 7.52/1.50  
%------------------------------------------------------------------------------