TSTP Solution File: GRP219-1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP219-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 06:58:45 EDT 2024

% Result   : Unsatisfiable 9.90s 2.22s
% Output   : CNFRefutation 9.90s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( inverse(sk_c1) = sk_c9
    | inverse(sk_c6) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

cnf(c_50,negated_conjecture,
    ( multiply(sk_c6,sk_c8) = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

cnf(c_51,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c9
    | inverse(sk_c1) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

cnf(c_52,negated_conjecture,
    ( inverse(sk_c1) = sk_c9
    | inverse(sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

cnf(c_53,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c9
    | inverse(sk_c6) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

cnf(c_54,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c9
    | multiply(sk_c6,sk_c8) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

cnf(c_55,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c9
    | multiply(sk_c7,sk_c8) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

cnf(c_56,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c9
    | inverse(sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

cnf(c_57,negated_conjecture,
    ( multiply(sk_c2,sk_c3) = sk_c8
    | inverse(sk_c6) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

cnf(c_58,negated_conjecture,
    ( multiply(sk_c6,sk_c8) = sk_c9
    | multiply(sk_c2,sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

cnf(c_59,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c9
    | multiply(sk_c2,sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

cnf(c_60,negated_conjecture,
    ( multiply(sk_c2,sk_c3) = sk_c8
    | inverse(sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

cnf(c_61,negated_conjecture,
    ( inverse(sk_c6) = sk_c9
    | inverse(sk_c2) = sk_c3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

cnf(c_62,negated_conjecture,
    ( multiply(sk_c6,sk_c8) = sk_c9
    | inverse(sk_c2) = sk_c3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

cnf(c_63,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c9
    | inverse(sk_c2) = sk_c3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

cnf(c_64,negated_conjecture,
    ( inverse(sk_c7) = sk_c8
    | inverse(sk_c2) = sk_c3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

cnf(c_65,negated_conjecture,
    ( multiply(sk_c3,sk_c9) = sk_c8
    | inverse(sk_c6) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_66,negated_conjecture,
    ( multiply(sk_c6,sk_c8) = sk_c9
    | multiply(sk_c3,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

cnf(c_67,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c9
    | multiply(sk_c3,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

cnf(c_68,negated_conjecture,
    ( multiply(sk_c3,sk_c9) = sk_c8
    | inverse(sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

cnf(c_69,negated_conjecture,
    ( multiply(sk_c9,sk_c5) = sk_c8
    | inverse(sk_c6) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

cnf(c_70,negated_conjecture,
    ( multiply(sk_c9,sk_c5) = sk_c8
    | multiply(sk_c6,sk_c8) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

cnf(c_71,negated_conjecture,
    ( multiply(sk_c9,sk_c5) = sk_c8
    | multiply(sk_c7,sk_c8) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

cnf(c_72,negated_conjecture,
    ( multiply(sk_c9,sk_c5) = sk_c8
    | inverse(sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

cnf(c_74,negated_conjecture,
    ( multiply(sk_c6,sk_c8) = sk_c9
    | multiply(sk_c4,sk_c9) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

cnf(c_75,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c9
    | multiply(sk_c4,sk_c9) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

cnf(c_76,negated_conjecture,
    ( multiply(sk_c4,sk_c9) = sk_c5
    | inverse(sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

cnf(c_78,negated_conjecture,
    ( multiply(sk_c6,sk_c8) = sk_c9
    | inverse(sk_c4) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

cnf(c_79,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c9
    | inverse(sk_c4) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

cnf(c_80,negated_conjecture,
    ( inverse(sk_c7) = sk_c8
    | inverse(sk_c4) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).

cnf(c_81,negated_conjecture,
    ( multiply(X0,X1) != sk_c8
    | multiply(X1,sk_c9) != sk_c8
    | multiply(X2,sk_c8) != sk_c9
    | multiply(X3,sk_c9) != X4
    | multiply(X5,sk_c8) != sk_c9
    | multiply(X6,sk_c8) != sk_c9
    | multiply(sk_c9,X4) != sk_c8
    | inverse(X0) != X1
    | inverse(X2) != sk_c9
    | inverse(X3) != sk_c9
    | inverse(X5) != sk_c9
    | inverse(X6) != sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).

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

cnf(c_83,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_84,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_85,negated_conjecture,
    ( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
    | multiply(X1,inverse(X1)) != sk_c8
    | multiply(inverse(X1),sk_c9) != sk_c8
    | multiply(X2,sk_c8) != sk_c9
    | multiply(X3,sk_c8) != sk_c9
    | multiply(X4,sk_c8) != sk_c9
    | inverse(X0) != sk_c9
    | inverse(X2) != sk_c9
    | inverse(X3) != sk_c9
    | inverse(X4) != sk_c8 ),
    inference(unflattening,[status(thm)],[c_81]) ).

cnf(c_394,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c9
    | inverse(X0) != sk_c9
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_85]) ).

cnf(c_395,negated_conjecture,
    ( multiply(X0,inverse(X0)) != sk_c8
    | multiply(inverse(X0),sk_c9) != sk_c8
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_85]) ).

cnf(c_396,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c9
    | inverse(X0) != sk_c8
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_85]) ).

cnf(c_397,negated_conjecture,
    ( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
    | inverse(X0) != sk_c9
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_85]) ).

cnf(c_398,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_85]) ).

cnf(c_399,plain,
    inverse(sk_c7) = sP4_iProver_def,
    definition ).

cnf(c_400,plain,
    inverse(sk_c4) = sP5_iProver_def,
    definition ).

cnf(c_401,plain,
    multiply(sk_c7,sk_c8) = sP6_iProver_def,
    definition ).

cnf(c_402,plain,
    multiply(sk_c6,sk_c8) = sP7_iProver_def,
    definition ).

cnf(c_403,plain,
    inverse(sk_c6) = sP8_iProver_def,
    definition ).

cnf(c_404,plain,
    multiply(sk_c4,sk_c9) = sP9_iProver_def,
    definition ).

cnf(c_405,plain,
    multiply(sk_c9,sk_c5) = sP10_iProver_def,
    definition ).

cnf(c_406,plain,
    multiply(sk_c3,sk_c9) = sP11_iProver_def,
    definition ).

cnf(c_407,plain,
    inverse(sk_c2) = sP12_iProver_def,
    definition ).

cnf(c_408,plain,
    multiply(sk_c2,sk_c3) = sP13_iProver_def,
    definition ).

cnf(c_409,plain,
    multiply(sk_c1,sk_c8) = sP14_iProver_def,
    definition ).

cnf(c_410,plain,
    inverse(sk_c1) = sP15_iProver_def,
    definition ).

cnf(c_411,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_398]) ).

cnf(c_412,negated_conjecture,
    ( multiply(sk_c9,multiply(X0,sk_c9)) != sk_c8
    | inverse(X0) != sk_c9
    | ~ sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_397]) ).

cnf(c_413,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c9
    | inverse(X0) != sk_c8
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_396]) ).

cnf(c_414,negated_conjecture,
    ( multiply(X0,inverse(X0)) != sk_c8
    | multiply(inverse(X0),sk_c9) != sk_c8
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_395]) ).

cnf(c_416,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c9
    | inverse(X0) != sk_c9
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_394]) ).

cnf(c_417,negated_conjecture,
    ( sP4_iProver_def = sk_c8
    | sP5_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_80,c_400,c_399]) ).

cnf(c_418,negated_conjecture,
    ( sP5_iProver_def = sk_c9
    | sP6_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_79,c_401]) ).

cnf(c_419,negated_conjecture,
    ( sP5_iProver_def = sk_c9
    | sP7_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_78,c_402]) ).

cnf(c_421,negated_conjecture,
    ( sP4_iProver_def = sk_c8
    | sP9_iProver_def = sk_c5 ),
    inference(demodulation,[status(thm)],[c_76,c_404]) ).

cnf(c_422,negated_conjecture,
    ( sP6_iProver_def = sk_c9
    | sP9_iProver_def = sk_c5 ),
    inference(demodulation,[status(thm)],[c_75]) ).

cnf(c_423,negated_conjecture,
    ( sP7_iProver_def = sk_c9
    | sP9_iProver_def = sk_c5 ),
    inference(demodulation,[status(thm)],[c_74]) ).

cnf(c_425,negated_conjecture,
    ( sP4_iProver_def = sk_c8
    | sP10_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_72,c_405]) ).

cnf(c_426,negated_conjecture,
    ( sP6_iProver_def = sk_c9
    | sP10_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_71]) ).

cnf(c_427,negated_conjecture,
    ( sP7_iProver_def = sk_c9
    | sP10_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_70]) ).

cnf(c_428,negated_conjecture,
    ( sP8_iProver_def = sk_c9
    | sP10_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_69]) ).

cnf(c_429,negated_conjecture,
    ( sP4_iProver_def = sk_c8
    | sP11_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_68,c_406]) ).

cnf(c_430,negated_conjecture,
    ( sP6_iProver_def = sk_c9
    | sP11_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_67]) ).

cnf(c_431,negated_conjecture,
    ( sP7_iProver_def = sk_c9
    | sP11_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_66]) ).

cnf(c_432,negated_conjecture,
    ( sP8_iProver_def = sk_c9
    | sP11_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_65]) ).

cnf(c_433,negated_conjecture,
    ( sP4_iProver_def = sk_c8
    | sP12_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_64,c_407]) ).

cnf(c_434,negated_conjecture,
    ( sP6_iProver_def = sk_c9
    | sP12_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_63]) ).

cnf(c_435,negated_conjecture,
    ( sP7_iProver_def = sk_c9
    | sP12_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_62]) ).

cnf(c_436,negated_conjecture,
    ( sP8_iProver_def = sk_c9
    | sP12_iProver_def = sk_c3 ),
    inference(demodulation,[status(thm)],[c_61]) ).

cnf(c_437,negated_conjecture,
    ( sP4_iProver_def = sk_c8
    | sP13_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_60,c_408]) ).

cnf(c_438,negated_conjecture,
    ( sP6_iProver_def = sk_c9
    | sP13_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_439,negated_conjecture,
    ( sP7_iProver_def = sk_c9
    | sP13_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_58]) ).

cnf(c_440,negated_conjecture,
    ( sP8_iProver_def = sk_c9
    | sP13_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_57]) ).

cnf(c_441,negated_conjecture,
    ( sP4_iProver_def = sk_c8
    | sP14_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_56,c_409]) ).

cnf(c_442,negated_conjecture,
    ( sP6_iProver_def = sk_c9
    | sP14_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_443,negated_conjecture,
    ( sP7_iProver_def = sk_c9
    | sP14_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_444,negated_conjecture,
    ( sP8_iProver_def = sk_c9
    | sP14_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_53]) ).

cnf(c_445,negated_conjecture,
    ( sP4_iProver_def = sk_c8
    | sP15_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_52,c_410]) ).

cnf(c_446,negated_conjecture,
    ( sP6_iProver_def = sk_c9
    | sP15_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_447,negated_conjecture,
    ( sP7_iProver_def = sk_c9
    | sP15_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_448,negated_conjecture,
    ( sP8_iProver_def = sk_c9
    | sP15_iProver_def = sk_c9 ),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_449,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_450,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_684,plain,
    ( sk_c9 = sP5_iProver_def
    | sP6_iProver_def = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_418,c_419]) ).

cnf(c_712,plain,
    ( multiply(sk_c7,sP4_iProver_def) = sP6_iProver_def
    | sk_c9 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_417,c_401]) ).

cnf(c_715,plain,
    ( multiply(sk_c6,sP4_iProver_def) = sP7_iProver_def
    | sk_c9 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_417,c_402]) ).

cnf(c_720,plain,
    ( multiply(sk_c4,sP6_iProver_def) = sP9_iProver_def
    | sk_c9 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_418,c_404]) ).

cnf(c_827,plain,
    ( sk_c9 = sP6_iProver_def
    | sP10_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_430,c_426]) ).

cnf(c_857,plain,
    ( sk_c9 = sP7_iProver_def
    | sP10_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_431,c_427]) ).

cnf(c_879,plain,
    ( multiply(sk_c9,sP9_iProver_def) = sP10_iProver_def
    | sk_c9 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_423,c_405]) ).

cnf(c_880,plain,
    ( multiply(sk_c9,sP9_iProver_def) = sP10_iProver_def
    | sk_c9 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_422,c_405]) ).

cnf(c_881,plain,
    ( multiply(sk_c9,sP9_iProver_def) = sP10_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_421,c_405]) ).

cnf(c_897,plain,
    ( multiply(sk_c3,sP7_iProver_def) = sP11_iProver_def
    | sk_c9 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_419,c_406]) ).

cnf(c_905,plain,
    ( multiply(sk_c1,sP11_iProver_def) = sP14_iProver_def
    | sk_c9 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_431,c_409]) ).

cnf(c_906,plain,
    ( multiply(sk_c1,sP11_iProver_def) = sP14_iProver_def
    | sk_c9 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_430,c_409]) ).

cnf(c_907,plain,
    ( multiply(sk_c1,sP11_iProver_def) = sP14_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_429,c_409]) ).

cnf(c_941,plain,
    multiply(sP15_iProver_def,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_410,c_83]) ).

cnf(c_942,plain,
    multiply(sP8_iProver_def,sk_c6) = identity,
    inference(superposition,[status(thm)],[c_403,c_83]) ).

cnf(c_943,plain,
    multiply(sP4_iProver_def,sk_c7) = identity,
    inference(superposition,[status(thm)],[c_399,c_83]) ).

cnf(c_944,plain,
    multiply(sP12_iProver_def,sk_c2) = identity,
    inference(superposition,[status(thm)],[c_407,c_83]) ).

cnf(c_945,plain,
    multiply(sP5_iProver_def,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_400,c_83]) ).

cnf(c_955,plain,
    ( multiply(sk_c1,sP11_iProver_def) = sP14_iProver_def
    | sk_c9 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_432,c_409]) ).

cnf(c_982,plain,
    ( multiply(sk_c2,sP12_iProver_def) = sP13_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_433,c_408]) ).

cnf(c_996,plain,
    ( multiply(sk_c2,sP12_iProver_def) = sP13_iProver_def
    | sk_c9 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_434,c_408]) ).

cnf(c_997,plain,
    ( multiply(sP12_iProver_def,sk_c9) = sP11_iProver_def
    | sk_c9 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_434,c_406]) ).

cnf(c_1008,plain,
    ( multiply(sk_c2,sP12_iProver_def) = sP13_iProver_def
    | sk_c9 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_435,c_408]) ).

cnf(c_1009,plain,
    ( multiply(sP12_iProver_def,sk_c9) = sP11_iProver_def
    | sk_c9 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_435,c_406]) ).

cnf(c_1021,plain,
    ( multiply(sk_c2,sP12_iProver_def) = sP13_iProver_def
    | sk_c9 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_436,c_408]) ).

cnf(c_1057,plain,
    ( sk_c8 = sP4_iProver_def
    | sP11_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_437,c_429]) ).

cnf(c_1061,plain,
    ( sk_c8 = sP4_iProver_def
    | sP10_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_437,c_425]) ).

cnf(c_1094,plain,
    ( sk_c9 = sP6_iProver_def
    | sP11_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_438,c_430]) ).

cnf(c_1098,plain,
    ( sk_c9 = sP6_iProver_def
    | sP10_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_438,c_426]) ).

cnf(c_1150,plain,
    ( sk_c9 = sP7_iProver_def
    | sP11_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_439,c_431]) ).

cnf(c_1154,plain,
    ( sk_c9 = sP7_iProver_def
    | sP10_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_439,c_427]) ).

cnf(c_1180,plain,
    ( X0 != X1
    | sP15_iProver_def != X1
    | sP15_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_450]) ).

cnf(c_1209,plain,
    ( sk_c9 = sP8_iProver_def
    | sP11_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_440,c_432]) ).

cnf(c_1255,plain,
    ( multiply(sk_c1,sP4_iProver_def) = sP14_iProver_def
    | sk_c9 = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_441,c_409]) ).

cnf(c_1264,plain,
    ( multiply(sk_c7,sP4_iProver_def) = sP6_iProver_def
    | sk_c9 = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_441,c_401]) ).

cnf(c_1337,plain,
    ( multiply(sk_c4,sP14_iProver_def) = sP9_iProver_def
    | sk_c9 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_442,c_404]) ).

cnf(c_1372,plain,
    ( multiply(sk_c4,sP14_iProver_def) = sP9_iProver_def
    | sk_c9 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_443,c_404]) ).

cnf(c_1400,plain,
    ( multiply(sk_c4,sP14_iProver_def) = sP9_iProver_def
    | sk_c9 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_444,c_404]) ).

cnf(c_1458,plain,
    ( multiply(sk_c1,sP4_iProver_def) = sP14_iProver_def
    | sk_c9 = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_445,c_409]) ).

cnf(c_1466,plain,
    ( multiply(sk_c6,sP4_iProver_def) = sP7_iProver_def
    | sk_c9 = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_445,c_402]) ).

cnf(c_1467,plain,
    ( multiply(sk_c7,sP4_iProver_def) = sP6_iProver_def
    | sk_c9 = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_445,c_401]) ).

cnf(c_1522,plain,
    ( sk_c9 = sP6_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_446,c_442]) ).

cnf(c_1525,plain,
    ( multiply(sk_c4,sP15_iProver_def) = sP9_iProver_def
    | sk_c9 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_446,c_404]) ).

cnf(c_1595,plain,
    ( sk_c9 = sP7_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_447,c_443]) ).

cnf(c_1599,plain,
    ( multiply(sk_c4,sP15_iProver_def) = sP9_iProver_def
    | sk_c9 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_447,c_404]) ).

cnf(c_1658,plain,
    ( multiply(sk_c4,sP15_iProver_def) = sP9_iProver_def
    | sk_c9 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_448,c_404]) ).

cnf(c_1712,plain,
    ( inverse(sk_c7) != sk_c8
    | sk_c9 != sP6_iProver_def
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_401,c_413]) ).

cnf(c_1713,plain,
    ( inverse(sk_c1) != sk_c8
    | sk_c9 != sP14_iProver_def
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_409,c_413]) ).

cnf(c_1714,plain,
    ( inverse(identity) != sk_c8
    | sk_c9 != sk_c8
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_82,c_413]) ).

cnf(c_1734,plain,
    ( sk_c9 != sP14_iProver_def
    | sk_c8 != sP15_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1713,c_410]) ).

cnf(c_1738,plain,
    ( sk_c9 != sP6_iProver_def
    | sk_c8 != sP4_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1712,c_399]) ).

cnf(c_1925,plain,
    ( inverse(sk_c6) != sk_c9
    | sk_c9 != sP7_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_402,c_416]) ).

cnf(c_1927,plain,
    ( inverse(sk_c1) != sk_c9
    | sk_c9 != sP14_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_409,c_416]) ).

cnf(c_1948,plain,
    ( sk_c9 != sP14_iProver_def
    | sk_c9 != sP15_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1927,c_410]) ).

cnf(c_1956,plain,
    ( sk_c9 != sP7_iProver_def
    | sk_c9 != sP8_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1925,c_403]) ).

cnf(c_2126,plain,
    ( multiply(sk_c9,sP11_iProver_def) != sk_c8
    | inverse(sk_c3) != sk_c9
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_406,c_412]) ).

cnf(c_2128,plain,
    ( multiply(sk_c9,sk_c9) != sk_c8
    | inverse(identity) != sk_c9
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_82,c_412]) ).

cnf(c_2129,plain,
    ( inverse(inverse(sk_c9)) != sk_c9
    | multiply(sk_c9,identity) != sk_c8
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_83,c_412]) ).

cnf(c_2217,plain,
    ( X0 != sP15_iProver_def
    | sP15_iProver_def != sP15_iProver_def
    | sP15_iProver_def = X0 ),
    inference(instantiation,[status(thm)],[c_1180]) ).

cnf(c_2218,plain,
    sP15_iProver_def = sP15_iProver_def,
    inference(instantiation,[status(thm)],[c_449]) ).

cnf(c_2219,plain,
    ( sk_c9 != sP15_iProver_def
    | sP15_iProver_def != sP15_iProver_def
    | sP15_iProver_def = sk_c9 ),
    inference(instantiation,[status(thm)],[c_2217]) ).

cnf(c_2253,plain,
    ( multiply(sk_c9,inverse(sk_c9)) != sk_c8
    | sk_c8 != identity
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_83,c_414]) ).

cnf(c_2255,plain,
    ( multiply(sk_c6,inverse(sk_c6)) != sk_c8
    | multiply(sP8_iProver_def,sk_c9) != sk_c8
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_403,c_414]) ).

cnf(c_2400,plain,
    ( multiply(sk_c4,sP5_iProver_def) = sP9_iProver_def
    | sP6_iProver_def = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_684,c_404]) ).

cnf(c_2585,plain,
    sk_c8 = sk_c8,
    inference(instantiation,[status(thm)],[c_449]) ).

cnf(c_2706,plain,
    multiply(sk_c6,multiply(sk_c8,X0)) = multiply(sP7_iProver_def,X0),
    inference(superposition,[status(thm)],[c_402,c_84]) ).

cnf(c_2707,plain,
    multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sP6_iProver_def,X0),
    inference(superposition,[status(thm)],[c_401,c_84]) ).

cnf(c_2708,plain,
    multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sP14_iProver_def,X0),
    inference(superposition,[status(thm)],[c_409,c_84]) ).

cnf(c_2709,plain,
    multiply(sk_c2,multiply(sk_c3,X0)) = multiply(sP13_iProver_def,X0),
    inference(superposition,[status(thm)],[c_408,c_84]) ).

cnf(c_2710,plain,
    multiply(sk_c3,multiply(sk_c9,X0)) = multiply(sP11_iProver_def,X0),
    inference(superposition,[status(thm)],[c_406,c_84]) ).

cnf(c_2712,plain,
    multiply(sk_c4,multiply(sk_c9,X0)) = multiply(sP9_iProver_def,X0),
    inference(superposition,[status(thm)],[c_404,c_84]) ).

cnf(c_2714,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_83,c_84]) ).

cnf(c_2717,plain,
    multiply(sP15_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_941,c_84]) ).

cnf(c_2718,plain,
    multiply(sP8_iProver_def,multiply(sk_c6,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_942,c_84]) ).

cnf(c_2719,plain,
    multiply(sP4_iProver_def,multiply(sk_c7,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_943,c_84]) ).

cnf(c_2720,plain,
    multiply(sP12_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_944,c_84]) ).

cnf(c_2721,plain,
    multiply(sP5_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_945,c_84]) ).

cnf(c_2726,plain,
    multiply(sP5_iProver_def,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2721,c_82]) ).

cnf(c_2727,plain,
    multiply(sP12_iProver_def,multiply(sk_c2,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2720,c_82]) ).

cnf(c_2728,plain,
    multiply(sP4_iProver_def,multiply(sk_c7,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2719,c_82]) ).

cnf(c_2729,plain,
    multiply(sP8_iProver_def,multiply(sk_c6,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2718,c_82]) ).

cnf(c_2730,plain,
    multiply(sP15_iProver_def,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2717,c_82]) ).

cnf(c_2763,plain,
    ( X0 != X1
    | sk_c8 != X1
    | sk_c8 = X0 ),
    inference(instantiation,[status(thm)],[c_450]) ).

cnf(c_2913,plain,
    ( X0 != X1
    | sP15_iProver_def != X1
    | X0 = sP15_iProver_def ),
    inference(instantiation,[status(thm)],[c_450]) ).

cnf(c_3053,plain,
    ( multiply(sk_c3,sP7_iProver_def) = sP11_iProver_def
    | sP10_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_857,c_406]) ).

cnf(c_3264,plain,
    ( multiply(sk_c7,sP4_iProver_def) = sP6_iProver_def
    | sP11_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_1057,c_401]) ).

cnf(c_3387,plain,
    ( multiply(sk_c6,sP4_iProver_def) = sP7_iProver_def
    | sP10_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_1061,c_402]) ).

cnf(c_3521,plain,
    ( multiply(sk_c3,sP6_iProver_def) = sP11_iProver_def
    | sP11_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_1094,c_406]) ).

cnf(c_3799,plain,
    ( multiply(sk_c3,sP7_iProver_def) = sP11_iProver_def
    | sP11_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_1150,c_406]) ).

cnf(c_3910,plain,
    ( sP6_iProver_def = sP7_iProver_def
    | sP10_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_1154,c_1098]) ).

cnf(c_4048,plain,
    ( multiply(sk_c3,sP8_iProver_def) = sP11_iProver_def
    | sP11_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_1209,c_406]) ).

cnf(c_4489,plain,
    ( multiply(sk_c3,sP7_iProver_def) = sP11_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_1595,c_406]) ).

cnf(c_4710,plain,
    ( multiply(sk_c6,multiply(sP4_iProver_def,X0)) = multiply(sP7_iProver_def,X0)
    | sk_c9 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_715,c_84]) ).

cnf(c_4714,plain,
    multiply(sP5_iProver_def,sP9_iProver_def) = sk_c9,
    inference(superposition,[status(thm)],[c_404,c_2726]) ).

cnf(c_4717,plain,
    multiply(sP5_iProver_def,multiply(sP9_iProver_def,X0)) = multiply(sk_c9,X0),
    inference(superposition,[status(thm)],[c_4714,c_84]) ).

cnf(c_4719,plain,
    multiply(sP12_iProver_def,sP13_iProver_def) = sk_c3,
    inference(superposition,[status(thm)],[c_408,c_2727]) ).

cnf(c_4722,plain,
    multiply(sP12_iProver_def,multiply(sP13_iProver_def,X0)) = multiply(sk_c3,X0),
    inference(superposition,[status(thm)],[c_4719,c_84]) ).

cnf(c_4724,plain,
    multiply(sP4_iProver_def,sP6_iProver_def) = sk_c8,
    inference(superposition,[status(thm)],[c_401,c_2728]) ).

cnf(c_4730,plain,
    multiply(sP4_iProver_def,multiply(sP6_iProver_def,X0)) = multiply(sk_c8,X0),
    inference(superposition,[status(thm)],[c_4724,c_84]) ).

cnf(c_4732,plain,
    multiply(sP8_iProver_def,sP7_iProver_def) = sk_c8,
    inference(superposition,[status(thm)],[c_402,c_2729]) ).

cnf(c_4738,plain,
    multiply(sP8_iProver_def,multiply(sP7_iProver_def,X0)) = multiply(sk_c8,X0),
    inference(superposition,[status(thm)],[c_4732,c_84]) ).

cnf(c_4769,plain,
    ( multiply(sP5_iProver_def,sP9_iProver_def) = sP6_iProver_def
    | sk_c9 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_720,c_2726]) ).

cnf(c_4770,plain,
    ( sk_c9 = sP5_iProver_def
    | sk_c9 = sP6_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_4769,c_4714]) ).

cnf(c_4867,plain,
    multiply(sP15_iProver_def,sP14_iProver_def) = sk_c8,
    inference(superposition,[status(thm)],[c_409,c_2730]) ).

cnf(c_4870,plain,
    multiply(sP15_iProver_def,multiply(sP14_iProver_def,X0)) = multiply(sk_c8,X0),
    inference(superposition,[status(thm)],[c_4867,c_84]) ).

cnf(c_5198,plain,
    ( multiply(sP15_iProver_def,sP9_iProver_def) = sP10_iProver_def
    | sk_c9 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_447,c_879]) ).

cnf(c_5363,plain,
    ( multiply(sP15_iProver_def,sP9_iProver_def) = sP10_iProver_def
    | sk_c9 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_446,c_880]) ).

cnf(c_5606,plain,
    ( multiply(sP15_iProver_def,sP14_iProver_def) = sP11_iProver_def
    | sk_c9 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_905,c_2730]) ).

cnf(c_5619,plain,
    ( multiply(sP15_iProver_def,sP14_iProver_def) = sP11_iProver_def
    | sk_c9 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_906,c_2730]) ).

cnf(c_5632,plain,
    ( multiply(sP15_iProver_def,sP14_iProver_def) = sP11_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_907,c_2730]) ).

cnf(c_5783,plain,
    ( multiply(sP15_iProver_def,sP14_iProver_def) = sP11_iProver_def
    | sk_c9 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_955,c_2730]) ).

cnf(c_6861,plain,
    ( multiply(sP15_iProver_def,sP14_iProver_def) = sP4_iProver_def
    | sk_c9 = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_1255,c_2730]) ).

cnf(c_6862,plain,
    ( sk_c9 = sP14_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6861,c_4867]) ).

cnf(c_6917,plain,
    ( multiply(sP5_iProver_def,sP9_iProver_def) = sP14_iProver_def
    | sk_c9 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_1337,c_2726]) ).

cnf(c_6918,plain,
    ( sk_c9 = sP6_iProver_def
    | sk_c9 = sP14_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6917,c_4714]) ).

cnf(c_6983,plain,
    ( multiply(sP5_iProver_def,sP9_iProver_def) = sP14_iProver_def
    | sk_c9 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_1372,c_2726]) ).

cnf(c_6984,plain,
    ( sk_c9 = sP7_iProver_def
    | sk_c9 = sP14_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6983,c_4714]) ).

cnf(c_7019,plain,
    ( multiply(sP5_iProver_def,sP9_iProver_def) = sP14_iProver_def
    | sk_c9 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_1400,c_2726]) ).

cnf(c_7020,plain,
    ( sk_c9 = sP8_iProver_def
    | sk_c9 = sP14_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_7019,c_4714]) ).

cnf(c_7184,plain,
    ( multiply(sP15_iProver_def,sP14_iProver_def) = sP4_iProver_def
    | sk_c9 = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_1458,c_2730]) ).

cnf(c_7185,plain,
    ( sk_c9 = sP15_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_7184,c_4867]) ).

cnf(c_7250,plain,
    ( multiply(sP5_iProver_def,sP9_iProver_def) = sP15_iProver_def
    | sk_c9 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_1525,c_2726]) ).

cnf(c_7251,plain,
    ( sk_c9 = sP6_iProver_def
    | sk_c9 = sP15_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_7250,c_4714]) ).

cnf(c_7298,plain,
    ( multiply(sP5_iProver_def,sP9_iProver_def) = sP15_iProver_def
    | sk_c9 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_1599,c_2726]) ).

cnf(c_7299,plain,
    ( sk_c9 = sP7_iProver_def
    | sk_c9 = sP15_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_7298,c_4714]) ).

cnf(c_7382,plain,
    ( multiply(sP5_iProver_def,sP9_iProver_def) = sP15_iProver_def
    | sk_c9 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_1658,c_2726]) ).

cnf(c_7383,plain,
    ( sk_c9 = sP8_iProver_def
    | sk_c9 = sP15_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_7382,c_4714]) ).

cnf(c_8664,plain,
    multiply(sk_c2,sP11_iProver_def) = multiply(sP13_iProver_def,sk_c9),
    inference(superposition,[status(thm)],[c_406,c_2709]) ).

cnf(c_8828,plain,
    multiply(sk_c3,sP10_iProver_def) = multiply(sP11_iProver_def,sk_c5),
    inference(superposition,[status(thm)],[c_405,c_2710]) ).

cnf(c_9091,plain,
    multiply(sk_c4,sP10_iProver_def) = multiply(sP9_iProver_def,sk_c5),
    inference(superposition,[status(thm)],[c_405,c_2712]) ).

cnf(c_12226,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_2714,c_82]) ).

cnf(c_12236,plain,
    multiply(inverse(sk_c3),sP11_iProver_def) = sk_c9,
    inference(superposition,[status(thm)],[c_406,c_12226]) ).

cnf(c_12237,plain,
    multiply(inverse(sk_c9),sP10_iProver_def) = sk_c5,
    inference(superposition,[status(thm)],[c_405,c_12226]) ).

cnf(c_12239,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_82,c_12226]) ).

cnf(c_12240,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_83,c_12226]) ).

cnf(c_12301,plain,
    ( multiply(inverse(sk_c9),sP10_iProver_def) = sP9_iProver_def
    | sk_c9 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_879,c_12226]) ).

cnf(c_12305,plain,
    ( multiply(inverse(sk_c3),sP11_iProver_def) = sP8_iProver_def
    | sP11_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_4048,c_12226]) ).

cnf(c_12308,plain,
    ( multiply(inverse(sk_c3),sP11_iProver_def) = sP7_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_4489,c_12226]) ).

cnf(c_12310,plain,
    ( multiply(inverse(sk_c3),sP11_iProver_def) = sP7_iProver_def
    | sP11_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_3799,c_12226]) ).

cnf(c_12311,plain,
    ( multiply(inverse(sk_c3),sP11_iProver_def) = sP7_iProver_def
    | sP10_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_3053,c_12226]) ).

cnf(c_12312,plain,
    ( multiply(inverse(sk_c3),sP11_iProver_def) = sP7_iProver_def
    | sk_c9 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_897,c_12226]) ).

cnf(c_12315,plain,
    ( multiply(inverse(sk_c3),sP11_iProver_def) = sP6_iProver_def
    | sP11_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_3521,c_12226]) ).

cnf(c_12392,plain,
    multiply(inverse(sP15_iProver_def),X0) = multiply(sk_c1,X0),
    inference(superposition,[status(thm)],[c_2730,c_12226]) ).

cnf(c_12393,plain,
    multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c6,X0),
    inference(superposition,[status(thm)],[c_2729,c_12226]) ).

cnf(c_12394,plain,
    multiply(inverse(sP4_iProver_def),X0) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_2728,c_12226]) ).

cnf(c_12395,plain,
    multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c2,X0),
    inference(superposition,[status(thm)],[c_2727,c_12226]) ).

cnf(c_12396,plain,
    multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c4,X0),
    inference(superposition,[status(thm)],[c_2726,c_12226]) ).

cnf(c_12417,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_12226,c_12226]) ).

cnf(c_12823,plain,
    ( X0 != sk_c8
    | sk_c8 != sk_c8
    | sk_c8 = X0 ),
    inference(instantiation,[status(thm)],[c_2763]) ).

cnf(c_12824,plain,
    ( sk_c9 != sk_c8
    | sk_c8 != sk_c8
    | sk_c8 = sk_c9 ),
    inference(instantiation,[status(thm)],[c_12823]) ).

cnf(c_13260,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_12240,c_12417]) ).

cnf(c_13268,plain,
    multiply(sk_c1,sk_c8) = multiply(sP14_iProver_def,identity),
    inference(superposition,[status(thm)],[c_13260,c_2708]) ).

cnf(c_13269,plain,
    multiply(sk_c7,sk_c8) = multiply(sP6_iProver_def,identity),
    inference(superposition,[status(thm)],[c_13260,c_2707]) ).

cnf(c_13270,plain,
    multiply(sk_c6,sk_c8) = multiply(sP7_iProver_def,identity),
    inference(superposition,[status(thm)],[c_13260,c_2706]) ).

cnf(c_13272,plain,
    multiply(sk_c4,sk_c9) = multiply(sP9_iProver_def,identity),
    inference(superposition,[status(thm)],[c_13260,c_2712]) ).

cnf(c_13280,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_13260,c_12239]) ).

cnf(c_13283,plain,
    multiply(sP9_iProver_def,identity) = sP9_iProver_def,
    inference(light_normalisation,[status(thm)],[c_13272,c_404]) ).

cnf(c_13285,plain,
    multiply(sP7_iProver_def,identity) = sP7_iProver_def,
    inference(light_normalisation,[status(thm)],[c_13270,c_402]) ).

cnf(c_13286,plain,
    multiply(sP6_iProver_def,identity) = sP6_iProver_def,
    inference(light_normalisation,[status(thm)],[c_13269,c_401]) ).

cnf(c_13287,plain,
    multiply(sP14_iProver_def,identity) = sP14_iProver_def,
    inference(light_normalisation,[status(thm)],[c_13268,c_409]) ).

cnf(c_13293,plain,
    multiply(identity,identity) = identity,
    inference(superposition,[status(thm)],[c_13280,c_83]) ).

cnf(c_13353,plain,
    multiply(sk_c9,identity) = multiply(sP5_iProver_def,sP9_iProver_def),
    inference(superposition,[status(thm)],[c_13260,c_4717]) ).

cnf(c_13356,plain,
    multiply(sk_c9,identity) = sk_c9,
    inference(light_normalisation,[status(thm)],[c_13353,c_4714]) ).

cnf(c_13359,plain,
    multiply(sk_c3,identity) = multiply(sP12_iProver_def,sP13_iProver_def),
    inference(superposition,[status(thm)],[c_13260,c_4722]) ).

cnf(c_13368,plain,
    multiply(sk_c3,identity) = sk_c3,
    inference(light_normalisation,[status(thm)],[c_13359,c_4719]) ).

cnf(c_13471,plain,
    multiply(sk_c8,identity) = multiply(sP4_iProver_def,sP6_iProver_def),
    inference(superposition,[status(thm)],[c_13260,c_4730]) ).

cnf(c_13475,plain,
    multiply(sk_c8,identity) = sk_c8,
    inference(light_normalisation,[status(thm)],[c_13471,c_4724]) ).

cnf(c_13513,plain,
    multiply(sk_c8,identity) = multiply(sP8_iProver_def,sP7_iProver_def),
    inference(superposition,[status(thm)],[c_13260,c_4738]) ).

cnf(c_13540,plain,
    multiply(sk_c8,identity) = multiply(sP15_iProver_def,sP14_iProver_def),
    inference(superposition,[status(thm)],[c_13260,c_4870]) ).

cnf(c_13678,plain,
    ( sk_c8 != X0
    | sP15_iProver_def != X0
    | sk_c8 = sP15_iProver_def ),
    inference(instantiation,[status(thm)],[c_2913]) ).

cnf(c_13687,plain,
    ( sk_c8 != sk_c9
    | sP15_iProver_def != sk_c9
    | sk_c8 = sP15_iProver_def ),
    inference(instantiation,[status(thm)],[c_13678]) ).

cnf(c_13727,plain,
    ( sk_c8 != sP15_iProver_def
    | ~ sP2_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_1734,c_1738,c_1734,c_6862,c_6918]) ).

cnf(c_13751,plain,
    ( sP4_iProver_def != sP15_iProver_def
    | ~ sP2_iProver_def
    | sk_c9 = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_445,c_13727]) ).

cnf(c_13820,plain,
    ( ~ sP2_iProver_def
    | sk_c9 = sP15_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_13751,c_1738,c_7185,c_7251]) ).

cnf(c_14053,plain,
    multiply(sk_c1,multiply(sP15_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_12392,c_12226]) ).

cnf(c_14054,plain,
    multiply(sk_c1,identity) = inverse(sP15_iProver_def),
    inference(superposition,[status(thm)],[c_12392,c_13260]) ).

cnf(c_14116,plain,
    inverse(sP15_iProver_def) = sk_c1,
    inference(demodulation,[status(thm)],[c_14054,c_13260]) ).

cnf(c_14139,plain,
    multiply(sk_c1,identity) = sk_c1,
    inference(superposition,[status(thm)],[c_941,c_14053]) ).

cnf(c_14145,plain,
    ( multiply(sk_c1,sP10_iProver_def) = sP9_iProver_def
    | sk_c9 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_5363,c_14053]) ).

cnf(c_14146,plain,
    ( multiply(sk_c1,sP10_iProver_def) = sP9_iProver_def
    | sk_c9 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_5198,c_14053]) ).

cnf(c_14346,plain,
    ( sk_c9 != sP6_iProver_def
    | ~ sP2_iProver_def
    | sP11_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_1057,c_1738]) ).

cnf(c_14358,plain,
    ( sk_c9 != sP6_iProver_def
    | sP4_iProver_def != sP10_iProver_def
    | ~ sP2_iProver_def
    | sk_c9 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_428,c_1738]) ).

cnf(c_14361,plain,
    ( sk_c9 != sP6_iProver_def
    | sP4_iProver_def != sP10_iProver_def
    | ~ sP2_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_425,c_1738]) ).

cnf(c_14634,plain,
    ( sk_c9 != sP15_iProver_def
    | ~ sP0_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_1948,c_1956,c_1948,c_6984,c_7020]) ).

cnf(c_14636,plain,
    ~ sP0_iProver_def,
    inference(global_subsumption_just,[status(thm)],[c_14634,c_1956,c_7299,c_7383,c_14634]) ).

cnf(c_14638,plain,
    ( sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(backward_subsumption_resolution,[status(thm)],[c_411,c_14636]) ).

cnf(c_14654,plain,
    multiply(sk_c6,sP8_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_12393,c_83]) ).

cnf(c_14657,plain,
    multiply(sk_c6,multiply(sP8_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_12393,c_12226]) ).

cnf(c_14658,plain,
    multiply(sk_c6,identity) = inverse(sP8_iProver_def),
    inference(superposition,[status(thm)],[c_12393,c_13260]) ).

cnf(c_14674,plain,
    multiply(sP8_iProver_def,identity) = sP8_iProver_def,
    inference(superposition,[status(thm)],[c_14654,c_2729]) ).

cnf(c_14677,plain,
    inverse(sP8_iProver_def) = sk_c6,
    inference(demodulation,[status(thm)],[c_14658,c_13260]) ).

cnf(c_14687,plain,
    multiply(sk_c6,identity) = sk_c6,
    inference(superposition,[status(thm)],[c_942,c_14657]) ).

cnf(c_14737,plain,
    multiply(sk_c7,sP4_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_12394,c_83]) ).

cnf(c_14740,plain,
    multiply(sk_c7,multiply(sP4_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_12394,c_12226]) ).

cnf(c_14753,plain,
    ( identity = sP6_iProver_def
    | sP11_iProver_def = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_3264,c_14737]) ).

cnf(c_14755,plain,
    ( sk_c9 = sP15_iProver_def
    | identity = sP6_iProver_def ),
    inference(demodulation,[status(thm)],[c_1467,c_14737]) ).

cnf(c_14756,plain,
    ( sk_c9 = sP14_iProver_def
    | identity = sP6_iProver_def ),
    inference(demodulation,[status(thm)],[c_1264,c_14737]) ).

cnf(c_14757,plain,
    ( sk_c9 = sP5_iProver_def
    | identity = sP6_iProver_def ),
    inference(demodulation,[status(thm)],[c_712,c_14737]) ).

cnf(c_14855,plain,
    multiply(sk_c7,identity) = sk_c7,
    inference(superposition,[status(thm)],[c_943,c_14740]) ).

cnf(c_14984,plain,
    ( multiply(inverse(sP15_iProver_def),sP10_iProver_def) = sk_c5
    | identity = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_14755,c_12237]) ).

cnf(c_15034,plain,
    ( multiply(sk_c1,sP10_iProver_def) = sk_c5
    | identity = sP6_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_14984,c_14116]) ).

cnf(c_15345,plain,
    ( identity = sP6_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_14756,c_14755]) ).

cnf(c_15545,plain,
    ( multiply(sP5_iProver_def,sP9_iProver_def) = sP10_iProver_def
    | sk_c8 = sP4_iProver_def
    | identity = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_14757,c_881]) ).

cnf(c_15570,plain,
    ( multiply(sP5_iProver_def,sk_c5) = sP10_iProver_def
    | identity = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_14757,c_405]) ).

cnf(c_15635,plain,
    ( sk_c9 = sP10_iProver_def
    | sk_c8 = sP4_iProver_def
    | identity = sP6_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_15545,c_4714]) ).

cnf(c_16508,plain,
    multiply(sk_c2,sP12_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_12395,c_83]) ).

cnf(c_16511,plain,
    multiply(sk_c2,multiply(sP12_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_12395,c_12226]) ).

cnf(c_16512,plain,
    multiply(sk_c2,identity) = inverse(sP12_iProver_def),
    inference(superposition,[status(thm)],[c_12395,c_13260]) ).

cnf(c_16522,plain,
    ( sk_c9 = sP8_iProver_def
    | identity = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_1021,c_16508]) ).

cnf(c_16523,plain,
    ( sk_c9 = sP7_iProver_def
    | identity = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_1008,c_16508]) ).

cnf(c_16524,plain,
    ( sk_c9 = sP6_iProver_def
    | identity = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_996,c_16508]) ).

cnf(c_16525,plain,
    ( sk_c8 = sP4_iProver_def
    | identity = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_982,c_16508]) ).

cnf(c_16539,plain,
    multiply(sP12_iProver_def,identity) = sP12_iProver_def,
    inference(superposition,[status(thm)],[c_16508,c_2727]) ).

cnf(c_16542,plain,
    inverse(sP12_iProver_def) = sk_c2,
    inference(demodulation,[status(thm)],[c_16512,c_13260]) ).

cnf(c_16547,plain,
    multiply(sk_c2,identity) = sk_c2,
    inference(superposition,[status(thm)],[c_944,c_16511]) ).

cnf(c_16549,plain,
    ( multiply(sk_c2,sP11_iProver_def) = sk_c9
    | sk_c9 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_1009,c_16511]) ).

cnf(c_16550,plain,
    ( multiply(sk_c2,sP11_iProver_def) = sk_c9
    | sk_c9 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_997,c_16511]) ).

cnf(c_16585,plain,
    ( multiply(sP13_iProver_def,sk_c9) = sk_c9
    | sk_c9 = sP6_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_16550,c_8664]) ).

cnf(c_16588,plain,
    ( multiply(sP13_iProver_def,sk_c9) = sk_c9
    | sk_c9 = sP7_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_16549,c_8664]) ).

cnf(c_16750,plain,
    ( multiply(sk_c4,sP8_iProver_def) = sP9_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_16522,c_404]) ).

cnf(c_17113,plain,
    ( multiply(sk_c3,sP7_iProver_def) = sP11_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_16523,c_406]) ).

cnf(c_17315,plain,
    ( identity = sP13_iProver_def
    | sP6_iProver_def = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_16524,c_16523]) ).

cnf(c_17362,plain,
    ( multiply(sk_c4,sP6_iProver_def) = sP9_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_16524,c_404]) ).

cnf(c_17501,plain,
    ( sk_c9 != sP6_iProver_def
    | ~ sP2_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_16525,c_1738]) ).

cnf(c_17533,plain,
    ( multiply(sk_c7,sP4_iProver_def) = sP6_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_16525,c_401]) ).

cnf(c_17534,plain,
    ( identity = sP6_iProver_def
    | identity = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_17533,c_14737]) ).

cnf(c_17910,plain,
    ( identity = sP6_iProver_def
    | sP6_iProver_def = sP13_iProver_def
    | sP14_iProver_def = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_17534,c_15345]) ).

cnf(c_18086,plain,
    multiply(sk_c4,sP5_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_12396,c_83]) ).

cnf(c_18089,plain,
    multiply(sk_c4,multiply(sP5_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_12396,c_12226]) ).

cnf(c_18090,plain,
    multiply(sk_c4,identity) = inverse(sP5_iProver_def),
    inference(superposition,[status(thm)],[c_12396,c_13260]) ).

cnf(c_18105,plain,
    ( identity = sP9_iProver_def
    | sP6_iProver_def = sP7_iProver_def ),
    inference(demodulation,[status(thm)],[c_2400,c_18086]) ).

cnf(c_18122,plain,
    inverse(sP5_iProver_def) = sk_c4,
    inference(demodulation,[status(thm)],[c_18090,c_13260]) ).

cnf(c_18127,plain,
    multiply(sk_c4,identity) = sk_c4,
    inference(superposition,[status(thm)],[c_945,c_18089]) ).

cnf(c_18128,plain,
    ( multiply(sk_c4,sP10_iProver_def) = sk_c5
    | identity = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_15570,c_18089]) ).

cnf(c_18147,plain,
    ( multiply(sP9_iProver_def,sk_c5) = sk_c5
    | identity = sP6_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_18128,c_9091]) ).

cnf(c_18465,plain,
    ( sP6_iProver_def = sP7_iProver_def
    | sP9_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_18105,c_17315]) ).

cnf(c_19010,plain,
    ( sP6_iProver_def = sP7_iProver_def
    | sP9_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_18465,c_3910]) ).

cnf(c_19314,plain,
    ( multiply(sk_c6,sP4_iProver_def) = multiply(sP7_iProver_def,identity)
    | sk_c9 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_13260,c_4710]) ).

cnf(c_20600,plain,
    ( multiply(sP5_iProver_def,sP9_iProver_def) = sP8_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_16750,c_2726]) ).

cnf(c_20618,plain,
    ( multiply(inverse(sk_c3),sP11_iProver_def) = sP7_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_17113,c_12226]) ).

cnf(c_21069,plain,
    ( multiply(sP5_iProver_def,sP9_iProver_def) = sP6_iProver_def
    | identity = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_17362,c_2726]) ).

cnf(c_21734,plain,
    ( sk_c9 != sk_c8
    | ~ sP2_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_1714,c_2219,c_2218,c_2585,c_12824,c_13687,c_13727,c_13820]) ).

cnf(c_21762,plain,
    ( sk_c9 != sP13_iProver_def
    | ~ sP2_iProver_def
    | sk_c9 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_440,c_21734]) ).

cnf(c_21764,plain,
    ( sk_c9 != sP13_iProver_def
    | ~ sP2_iProver_def
    | sk_c9 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_438,c_21734]) ).

cnf(c_21765,plain,
    ( sk_c9 != sP13_iProver_def
    | ~ sP2_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_437,c_21734]) ).

cnf(c_21770,plain,
    ( sk_c9 != sP10_iProver_def
    | ~ sP2_iProver_def
    | sk_c9 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_428,c_21734]) ).

cnf(c_21772,plain,
    ( sk_c9 != sP10_iProver_def
    | ~ sP2_iProver_def
    | sk_c9 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_426,c_21734]) ).

cnf(c_21773,plain,
    ( sk_c9 != sP10_iProver_def
    | ~ sP2_iProver_def
    | sk_c8 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_425,c_21734]) ).

cnf(c_21934,plain,
    ( ~ sP2_iProver_def
    | sk_c9 != sP13_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_21762,c_1738,c_21765,c_21764]) ).

cnf(c_21935,plain,
    ( sk_c9 != sP13_iProver_def
    | ~ sP2_iProver_def ),
    inference(renaming,[status(thm)],[c_21934]) ).

cnf(c_22587,plain,
    ( ~ sP2_iProver_def
    | sk_c9 != sP10_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_21770,c_1738,c_21773,c_21772]) ).

cnf(c_22588,plain,
    ( sk_c9 != sP10_iProver_def
    | ~ sP2_iProver_def ),
    inference(renaming,[status(thm)],[c_22587]) ).

cnf(c_22628,plain,
    ( sP10_iProver_def != sP14_iProver_def
    | ~ sP2_iProver_def
    | sk_c9 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_442,c_22588]) ).

cnf(c_24669,plain,
    ( multiply(sP14_iProver_def,sP11_iProver_def) != sk_c8
    | inverse(sk_c3) != sk_c9
    | ~ sP3_iProver_def
    | sk_c9 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_443,c_2126]) ).

cnf(c_24670,plain,
    ( multiply(sP14_iProver_def,sP11_iProver_def) != sk_c8
    | inverse(sk_c3) != sk_c9
    | ~ sP3_iProver_def
    | sk_c9 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_442,c_2126]) ).

cnf(c_25481,plain,
    ( multiply(sk_c9,sk_c9) != sk_c8
    | sk_c9 != identity
    | ~ sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2128,c_13280]) ).

cnf(c_26721,plain,
    ( inverse(inverse(sk_c9)) != sk_c9
    | sk_c9 != sk_c8
    | ~ sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_2129,c_13260]) ).

cnf(c_28062,plain,
    ( ~ sP2_iProver_def
    | sP4_iProver_def != sP10_iProver_def
    | sk_c9 != sP6_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_14358,c_1738,c_14361]) ).

cnf(c_28063,plain,
    ( sk_c9 != sP6_iProver_def
    | sP4_iProver_def != sP10_iProver_def
    | ~ sP2_iProver_def ),
    inference(renaming,[status(thm)],[c_28062]) ).

cnf(c_28070,plain,
    ( sk_c9 != sP6_iProver_def
    | sP4_iProver_def != sP9_iProver_def
    | ~ sP2_iProver_def
    | sP6_iProver_def = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_19010,c_28063]) ).

cnf(c_28540,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_28070,c_26721,c_25481,c_24670,c_24669,c_22628,c_22588,c_21935,c_21069,c_20618,c_20600,c_19314,c_18147,c_18127,c_18122,c_18086,c_17910,c_17534,c_17501,c_16588,c_16585,c_16547,c_16542,c_16539,c_16524,c_15635,c_15545,c_15034,c_14855,c_14753,c_14737,c_14687,c_14677,c_14674,c_14654,c_14638,c_14346,c_14146,c_14145,c_14139,c_13540,c_13513,c_13475,c_13368,c_13359,c_13356,c_13353,c_13293,c_13287,c_13286,c_13285,c_13283,c_13272,c_13270,c_13269,c_13268,c_13280,c_12315,c_12312,c_12311,c_12310,c_12308,c_12305,c_12301,c_12237,c_12236,c_9091,c_8828,c_8664,c_5783,c_5632,c_5619,c_5606,c_4770,c_3387,c_2255,c_2253,c_1738,c_1522,c_1466,c_1094,c_945,c_942,c_827,c_407,c_403,c_399]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.17/0.17  % Problem  : GRP219-1 : TPTP v8.2.0. Released v2.5.0.
% 0.17/0.17  % Command  : run_iprover %s %d THM
% 0.17/0.38  % Computer : n019.cluster.edu
% 0.17/0.38  % Model    : x86_64 x86_64
% 0.17/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38  % Memory   : 8042.1875MB
% 0.17/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38  % CPULimit : 300
% 0.17/0.38  % WCLimit  : 300
% 0.17/0.38  % DateTime : Thu Jun 20 12:49:24 EDT 2024
% 0.17/0.38  % CPUTime  : 
% 0.36/0.52  Running first-order theorem proving
% 0.36/0.52  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
% 9.90/2.22  % SZS status Started for theBenchmark.p
% 9.90/2.22  % SZS status Unsatisfiable for theBenchmark.p
% 9.90/2.22  
% 9.90/2.22  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 9.90/2.22  
% 9.90/2.22  ------  iProver source info
% 9.90/2.22  
% 9.90/2.22  git: date: 2024-06-12 09:56:46 +0000
% 9.90/2.22  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 9.90/2.22  git: non_committed_changes: false
% 9.90/2.22  
% 9.90/2.22  ------ Parsing...successful
% 9.90/2.22  
% 9.90/2.22  
% 9.90/2.22  
% 9.90/2.22  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 9.90/2.22  
% 9.90/2.22  ------ Preprocessing... gs_s  sp: 5 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 9.90/2.22  
% 9.90/2.22  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 9.90/2.22  ------ Proving...
% 9.90/2.22  ------ Problem Properties 
% 9.90/2.22  
% 9.90/2.22  
% 9.90/2.22  clauses                                 52
% 9.90/2.22  conjectures                             37
% 9.90/2.22  EPR                                     33
% 9.90/2.22  Horn                                    19
% 9.90/2.22  unary                                   15
% 9.90/2.22  binary                                  32
% 9.90/2.22  lits                                    95
% 9.90/2.22  lits eq                                 87
% 9.90/2.22  fd_pure                                 0
% 9.90/2.22  fd_pseudo                               0
% 9.90/2.22  fd_cond                                 0
% 9.90/2.22  fd_pseudo_cond                          0
% 9.90/2.22  AC symbols                              0
% 9.90/2.22  
% 9.90/2.22  ------ Schedule dynamic 5 is on 
% 9.90/2.22  
% 9.90/2.22  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.90/2.22  
% 9.90/2.22  
% 9.90/2.22  ------ 
% 9.90/2.22  Current options:
% 9.90/2.22  ------ 
% 9.90/2.22  
% 9.90/2.22  
% 9.90/2.22  
% 9.90/2.22  
% 9.90/2.22  ------ Proving...
% 9.90/2.22  
% 9.90/2.22  
% 9.90/2.22  % SZS status Unsatisfiable for theBenchmark.p
% 9.90/2.22  
% 9.90/2.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.90/2.23  
% 9.90/2.23  
%------------------------------------------------------------------------------