TSTP Solution File: GRP308-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP308-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 02:22:07 EDT 2024

% Result   : Unsatisfiable 9.92s 2.17s
% Output   : CNFRefutation 9.92s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | multiply(sk_c3,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

cnf(c_50,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

cnf(c_51,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | multiply(sk_c4,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

cnf(c_52,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | inverse(sk_c4) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

cnf(c_53,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | inverse(sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

cnf(c_54,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | multiply(sk_c5,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

cnf(c_55,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | inverse(sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

cnf(c_56,negated_conjecture,
    ( inverse(sk_c8) = sk_c6
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

cnf(c_57,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | inverse(sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

cnf(c_58,negated_conjecture,
    ( inverse(sk_c8) = sk_c6
    | inverse(sk_c4) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

cnf(c_59,negated_conjecture,
    ( inverse(sk_c8) = sk_c6
    | inverse(sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

cnf(c_60,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c6
    | inverse(sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

cnf(c_61,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c8
    | multiply(sk_c3,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

cnf(c_62,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c8
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

cnf(c_63,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c8
    | multiply(sk_c4,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

cnf(c_64,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c8
    | inverse(sk_c4) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

cnf(c_65,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c8
    | inverse(sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_66,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c8
    | multiply(sk_c5,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

cnf(c_67,negated_conjecture,
    ( multiply(sk_c8,sk_c2) = sk_c7
    | multiply(sk_c3,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

cnf(c_68,negated_conjecture,
    ( multiply(sk_c8,sk_c2) = sk_c7
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

cnf(c_69,negated_conjecture,
    ( multiply(sk_c8,sk_c2) = sk_c7
    | multiply(sk_c4,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

cnf(c_70,negated_conjecture,
    ( multiply(sk_c8,sk_c2) = sk_c7
    | inverse(sk_c4) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

cnf(c_71,negated_conjecture,
    ( multiply(sk_c8,sk_c2) = sk_c7
    | inverse(sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

cnf(c_72,negated_conjecture,
    ( multiply(sk_c8,sk_c2) = sk_c7
    | multiply(sk_c5,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

cnf(c_73,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | multiply(sk_c1,sk_c8) = sk_c2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

cnf(c_74,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c2
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

cnf(c_75,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | multiply(sk_c1,sk_c8) = sk_c2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

cnf(c_76,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c2
    | inverse(sk_c4) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

cnf(c_77,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c2
    | inverse(sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

cnf(c_78,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c6
    | multiply(sk_c1,sk_c8) = sk_c2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

cnf(c_79,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

cnf(c_80,negated_conjecture,
    ( inverse(sk_c3) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).

cnf(c_81,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c6
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).

cnf(c_82,negated_conjecture,
    ( inverse(sk_c4) = sk_c7
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).

cnf(c_83,negated_conjecture,
    ( inverse(sk_c5) = sk_c6
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).

cnf(c_84,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c6
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

cnf(c_85,negated_conjecture,
    ( multiply(X0,sk_c8) != X1
    | multiply(X2,sk_c8) != sk_c7
    | multiply(X3,sk_c7) != sk_c6
    | multiply(X4,sk_c8) != sk_c6
    | multiply(sk_c8,X1) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c6,sk_c7) != sk_c8
    | inverse(X0) != sk_c8
    | inverse(X2) != sk_c8
    | inverse(X3) != sk_c7
    | inverse(X4) != sk_c6
    | inverse(sk_c8) != sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).

cnf(c_86,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_87,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_88,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_89,negated_conjecture,
    ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
    | multiply(X1,sk_c8) != sk_c7
    | multiply(X2,sk_c7) != sk_c6
    | multiply(X3,sk_c8) != sk_c6
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c6,sk_c7) != sk_c8
    | inverse(X0) != sk_c8
    | inverse(X1) != sk_c8
    | inverse(X2) != sk_c7
    | inverse(X3) != sk_c6
    | inverse(sk_c8) != sk_c6 ),
    inference(unflattening,[status(thm)],[c_85]) ).

cnf(c_434,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_89]) ).

cnf(c_435,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_89]) ).

cnf(c_436,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c6
    | inverse(X0) != sk_c6
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_89]) ).

cnf(c_437,negated_conjecture,
    ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_89]) ).

cnf(c_438,negated_conjecture,
    ( multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c6,sk_c7) != sk_c8
    | inverse(sk_c8) != sk_c6
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_89]) ).

cnf(c_439,plain,
    multiply(sk_c8,sk_c7) = sP4_iProver_def,
    definition ).

cnf(c_440,plain,
    multiply(sk_c6,sk_c7) = sP5_iProver_def,
    definition ).

cnf(c_441,plain,
    inverse(sk_c8) = sP6_iProver_def,
    definition ).

cnf(c_442,plain,
    multiply(sk_c5,sk_c8) = sP7_iProver_def,
    definition ).

cnf(c_443,plain,
    inverse(sk_c1) = sP8_iProver_def,
    definition ).

cnf(c_444,plain,
    inverse(sk_c5) = sP9_iProver_def,
    definition ).

cnf(c_445,plain,
    inverse(sk_c4) = sP10_iProver_def,
    definition ).

cnf(c_446,plain,
    multiply(sk_c4,sk_c7) = sP11_iProver_def,
    definition ).

cnf(c_447,plain,
    inverse(sk_c3) = sP12_iProver_def,
    definition ).

cnf(c_448,plain,
    multiply(sk_c3,sk_c8) = sP13_iProver_def,
    definition ).

cnf(c_449,plain,
    multiply(sk_c1,sk_c8) = sP14_iProver_def,
    definition ).

cnf(c_450,plain,
    multiply(sk_c8,sk_c2) = sP15_iProver_def,
    definition ).

cnf(c_451,negated_conjecture,
    ( sP4_iProver_def != sk_c6
    | sP5_iProver_def != sk_c8
    | sP6_iProver_def != sk_c6
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_438,c_441,c_440,c_439]) ).

cnf(c_452,negated_conjecture,
    ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_437]) ).

cnf(c_453,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c6
    | inverse(X0) != sk_c6
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_436]) ).

cnf(c_454,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_435]) ).

cnf(c_455,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c6
    | inverse(X0) != sk_c7
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_434]) ).

cnf(c_456,negated_conjecture,
    ( sP7_iProver_def = sk_c6
    | sP8_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_84,c_443,c_442]) ).

cnf(c_457,negated_conjecture,
    ( sP8_iProver_def = sk_c8
    | sP9_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_83,c_444]) ).

cnf(c_458,negated_conjecture,
    ( sP8_iProver_def = sk_c8
    | sP10_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_82,c_445]) ).

cnf(c_459,negated_conjecture,
    ( sP8_iProver_def = sk_c8
    | sP11_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_81,c_446]) ).

cnf(c_460,negated_conjecture,
    ( sP8_iProver_def = sk_c8
    | sP12_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_80,c_447]) ).

cnf(c_461,negated_conjecture,
    ( sP8_iProver_def = sk_c8
    | sP13_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_79,c_448]) ).

cnf(c_462,negated_conjecture,
    ( sP7_iProver_def = sk_c6
    | sP14_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_78,c_449]) ).

cnf(c_463,negated_conjecture,
    ( sP9_iProver_def = sk_c6
    | sP14_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_77]) ).

cnf(c_464,negated_conjecture,
    ( sP10_iProver_def = sk_c7
    | sP14_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_76]) ).

cnf(c_465,negated_conjecture,
    ( sP11_iProver_def = sk_c6
    | sP14_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_75]) ).

cnf(c_466,negated_conjecture,
    ( sP12_iProver_def = sk_c8
    | sP14_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_74]) ).

cnf(c_467,negated_conjecture,
    ( sP13_iProver_def = sk_c7
    | sP14_iProver_def = sk_c2 ),
    inference(demodulation,[status(thm)],[c_73]) ).

cnf(c_468,negated_conjecture,
    ( sP7_iProver_def = sk_c6
    | sP15_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_72,c_450]) ).

cnf(c_469,negated_conjecture,
    ( sP9_iProver_def = sk_c6
    | sP15_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_71]) ).

cnf(c_470,negated_conjecture,
    ( sP10_iProver_def = sk_c7
    | sP15_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_70]) ).

cnf(c_471,negated_conjecture,
    ( sP11_iProver_def = sk_c6
    | sP15_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_69]) ).

cnf(c_472,negated_conjecture,
    ( sP12_iProver_def = sk_c8
    | sP15_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_68]) ).

cnf(c_473,negated_conjecture,
    ( sP13_iProver_def = sk_c7
    | sP15_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_67]) ).

cnf(c_474,negated_conjecture,
    ( sP5_iProver_def = sk_c8
    | sP7_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_66]) ).

cnf(c_475,negated_conjecture,
    ( sP5_iProver_def = sk_c8
    | sP9_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_65]) ).

cnf(c_476,negated_conjecture,
    ( sP5_iProver_def = sk_c8
    | sP10_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_64]) ).

cnf(c_477,negated_conjecture,
    ( sP5_iProver_def = sk_c8
    | sP11_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_63]) ).

cnf(c_478,negated_conjecture,
    ( sP5_iProver_def = sk_c8
    | sP12_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_62]) ).

cnf(c_479,negated_conjecture,
    ( sP5_iProver_def = sk_c8
    | sP13_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_61]) ).

cnf(c_480,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP7_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_60]) ).

cnf(c_481,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP9_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_482,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP10_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_58]) ).

cnf(c_483,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP11_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_57]) ).

cnf(c_484,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP12_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_485,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP13_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_486,negated_conjecture,
    ( sP4_iProver_def = sk_c6
    | sP7_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_487,negated_conjecture,
    ( sP4_iProver_def = sk_c6
    | sP9_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_53]) ).

cnf(c_488,negated_conjecture,
    ( sP4_iProver_def = sk_c6
    | sP10_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_489,negated_conjecture,
    ( sP4_iProver_def = sk_c6
    | sP11_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_490,negated_conjecture,
    ( sP4_iProver_def = sk_c6
    | sP12_iProver_def = sk_c8 ),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_491,negated_conjecture,
    ( sP4_iProver_def = sk_c6
    | sP13_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_492,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_493,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_753,plain,
    ( sk_c8 = sP8_iProver_def
    | sP9_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_459,c_457]) ).

cnf(c_754,plain,
    ( sk_c8 = sP8_iProver_def
    | sP7_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_459,c_456]) ).

cnf(c_767,plain,
    ( sk_c8 = sP8_iProver_def
    | sP10_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_458,c_461]) ).

cnf(c_779,plain,
    ( multiply(sP12_iProver_def,sk_c7) = sP4_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_460,c_439]) ).

cnf(c_849,plain,
    ( sk_c7 = sP15_iProver_def
    | sP7_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_469,c_468]) ).

cnf(c_866,plain,
    ( multiply(sk_c6,sP15_iProver_def) = sP5_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_470,c_440]) ).

cnf(c_888,plain,
    ( sk_c7 = sP15_iProver_def
    | sP9_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_471,c_469]) ).

cnf(c_889,plain,
    ( sk_c7 = sP15_iProver_def
    | sP7_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_471,c_468]) ).

cnf(c_901,plain,
    ( multiply(sk_c4,sP10_iProver_def) = sP11_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_458,c_446]) ).

cnf(c_908,plain,
    ( multiply(sk_c3,sP12_iProver_def) = sP13_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_460,c_448]) ).

cnf(c_935,plain,
    multiply(sP12_iProver_def,sk_c3) = identity,
    inference(superposition,[status(thm)],[c_447,c_87]) ).

cnf(c_936,plain,
    multiply(sP10_iProver_def,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_445,c_87]) ).

cnf(c_937,plain,
    multiply(sP9_iProver_def,sk_c5) = identity,
    inference(superposition,[status(thm)],[c_444,c_87]) ).

cnf(c_938,plain,
    multiply(sP6_iProver_def,sk_c8) = identity,
    inference(superposition,[status(thm)],[c_441,c_87]) ).

cnf(c_939,plain,
    multiply(sP8_iProver_def,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_443,c_87]) ).

cnf(c_950,plain,
    ( multiply(sk_c6,sP15_iProver_def) = sP5_iProver_def
    | sk_c8 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_472,c_440]) ).

cnf(c_977,plain,
    ( multiply(sk_c6,sP15_iProver_def) = sP5_iProver_def
    | sk_c7 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_473,c_440]) ).

cnf(c_1002,plain,
    ( X0 != X1
    | sk_c6 != X1
    | X0 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_493]) ).

cnf(c_1052,plain,
    ( multiply(sk_c4,sP10_iProver_def) = sP11_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_476,c_446]) ).

cnf(c_1084,plain,
    ( sk_c8 = sP5_iProver_def
    | sP9_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_477,c_475]) ).

cnf(c_1085,plain,
    ( sk_c8 = sP5_iProver_def
    | sP7_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_477,c_474]) ).

cnf(c_1107,plain,
    ( multiply(sk_c3,sP12_iProver_def) = sP13_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_478,c_448]) ).

cnf(c_1110,plain,
    ( multiply(sP12_iProver_def,sk_c7) = sP4_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_478,c_439]) ).

cnf(c_1154,plain,
    ( sk_c8 = sP5_iProver_def
    | sP10_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_479,c_476]) ).

cnf(c_1243,plain,
    ( sk_c6 = sP6_iProver_def
    | sP7_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_481,c_480]) ).

cnf(c_1350,plain,
    ( X0 != sP7_iProver_def
    | sk_c6 != sP7_iProver_def
    | X0 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1002]) ).

cnf(c_1368,plain,
    ( sk_c6 = sP6_iProver_def
    | sP9_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_483,c_481]) ).

cnf(c_1369,plain,
    ( sk_c6 = sP6_iProver_def
    | sP7_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_483,c_480]) ).

cnf(c_1387,plain,
    ( X0 != sP9_iProver_def
    | sk_c6 != sP9_iProver_def
    | X0 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1002]) ).

cnf(c_1459,plain,
    ( X0 != sP11_iProver_def
    | sk_c6 != sP11_iProver_def
    | X0 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1002]) ).

cnf(c_1816,plain,
    ( sk_c6 != sP7_iProver_def
    | sP7_iProver_def != sP7_iProver_def
    | sP7_iProver_def = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1350]) ).

cnf(c_1817,plain,
    sP7_iProver_def = sP7_iProver_def,
    inference(instantiation,[status(thm)],[c_492]) ).

cnf(c_2000,plain,
    ( sk_c6 != sP9_iProver_def
    | sP9_iProver_def != sP9_iProver_def
    | sP9_iProver_def = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1387]) ).

cnf(c_2001,plain,
    sP9_iProver_def = sP9_iProver_def,
    inference(instantiation,[status(thm)],[c_492]) ).

cnf(c_2002,plain,
    ( X0 != X1
    | sP9_iProver_def != X1
    | X0 = sP9_iProver_def ),
    inference(instantiation,[status(thm)],[c_493]) ).

cnf(c_2030,plain,
    ( sk_c6 != sP11_iProver_def
    | sP11_iProver_def != sP11_iProver_def
    | sP11_iProver_def = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1459]) ).

cnf(c_2031,plain,
    sP11_iProver_def = sP11_iProver_def,
    inference(instantiation,[status(thm)],[c_492]) ).

cnf(c_2032,plain,
    ( X0 != X1
    | sP11_iProver_def != X1
    | X0 = sP11_iProver_def ),
    inference(instantiation,[status(thm)],[c_493]) ).

cnf(c_2192,plain,
    ( inverse(sk_c1) != sk_c6
    | sk_c6 != sP14_iProver_def
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_449,c_453]) ).

cnf(c_2204,plain,
    ( sk_c6 != sP8_iProver_def
    | sk_c6 != sP14_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2192,c_443]) ).

cnf(c_2242,plain,
    ( inverse(identity) != sk_c8
    | sk_c8 != sk_c7
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_86,c_454]) ).

cnf(c_2305,plain,
    ( inverse(inverse(sk_c7)) != sk_c7
    | sk_c6 != identity
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_87,c_455]) ).

cnf(c_2411,plain,
    ( multiply(sk_c8,identity) != sk_c7
    | inverse(sP6_iProver_def) != sk_c8
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_938,c_452]) ).

cnf(c_2534,plain,
    multiply(sk_c3,multiply(sk_c8,X0)) = multiply(sP13_iProver_def,X0),
    inference(superposition,[status(thm)],[c_448,c_88]) ).

cnf(c_2536,plain,
    multiply(sk_c5,multiply(sk_c8,X0)) = multiply(sP7_iProver_def,X0),
    inference(superposition,[status(thm)],[c_442,c_88]) ).

cnf(c_2539,plain,
    multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sP14_iProver_def,X0),
    inference(superposition,[status(thm)],[c_449,c_88]) ).

cnf(c_2541,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_87,c_88]) ).

cnf(c_2543,plain,
    multiply(sP12_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_935,c_88]) ).

cnf(c_2544,plain,
    multiply(sP10_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_936,c_88]) ).

cnf(c_2545,plain,
    multiply(sP9_iProver_def,multiply(sk_c5,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_937,c_88]) ).

cnf(c_2546,plain,
    multiply(sP6_iProver_def,multiply(sk_c8,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_938,c_88]) ).

cnf(c_2547,plain,
    multiply(sP8_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_939,c_88]) ).

cnf(c_2553,plain,
    multiply(sP8_iProver_def,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2547,c_86]) ).

cnf(c_2554,plain,
    multiply(sP6_iProver_def,multiply(sk_c8,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2546,c_86]) ).

cnf(c_2555,plain,
    multiply(sP9_iProver_def,multiply(sk_c5,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2545,c_86]) ).

cnf(c_2556,plain,
    multiply(sP10_iProver_def,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2544,c_86]) ).

cnf(c_2557,plain,
    multiply(sP12_iProver_def,multiply(sk_c3,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2543,c_86]) ).

cnf(c_2894,plain,
    ( multiply(sk_c6,sP15_iProver_def) = sP5_iProver_def
    | sP7_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_849,c_440]) ).

cnf(c_2924,plain,
    ( multiply(sk_c6,sP15_iProver_def) = sP5_iProver_def
    | sP9_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_888,c_440]) ).

cnf(c_2961,plain,
    ( multiply(sk_c6,sP15_iProver_def) = sP5_iProver_def
    | sP7_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_889,c_440]) ).

cnf(c_3313,plain,
    ( sP5_iProver_def = sP8_iProver_def
    | sP9_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_1084,c_753]) ).

cnf(c_3426,plain,
    ( sP5_iProver_def = sP8_iProver_def
    | sP7_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_1085,c_754]) ).

cnf(c_3519,plain,
    ( sP5_iProver_def = sP8_iProver_def
    | sP10_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_1154,c_767]) ).

cnf(c_4205,plain,
    ( multiply(sP12_iProver_def,sP13_iProver_def) = sP4_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_461,c_779]) ).

cnf(c_4794,plain,
    multiply(sP8_iProver_def,sP14_iProver_def) = sk_c8,
    inference(superposition,[status(thm)],[c_449,c_2553]) ).

cnf(c_4799,plain,
    multiply(sP6_iProver_def,sP4_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_439,c_2554]) ).

cnf(c_4800,plain,
    multiply(sP6_iProver_def,sP15_iProver_def) = sk_c2,
    inference(superposition,[status(thm)],[c_450,c_2554]) ).

cnf(c_5216,plain,
    multiply(sP9_iProver_def,sP7_iProver_def) = sk_c8,
    inference(superposition,[status(thm)],[c_442,c_2555]) ).

cnf(c_5221,plain,
    ( X0 != sk_c6
    | sP9_iProver_def != sk_c6
    | X0 = sP9_iProver_def ),
    inference(instantiation,[status(thm)],[c_2002]) ).

cnf(c_5228,plain,
    multiply(sP10_iProver_def,sP11_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_446,c_2556]) ).

cnf(c_5235,plain,
    ( X0 != sk_c6
    | sP11_iProver_def != sk_c6
    | X0 = sP11_iProver_def ),
    inference(instantiation,[status(thm)],[c_2032]) ).

cnf(c_5240,plain,
    multiply(sP12_iProver_def,sP13_iProver_def) = sk_c8,
    inference(superposition,[status(thm)],[c_448,c_2557]) ).

cnf(c_5414,plain,
    ( multiply(sP6_iProver_def,sP15_iProver_def) = sP5_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_482,c_866]) ).

cnf(c_5427,plain,
    ( sk_c7 = sP10_iProver_def
    | sk_c2 = sP5_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5414,c_4800]) ).

cnf(c_5772,plain,
    ( sk_c7 = sP10_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_5427,c_464]) ).

cnf(c_5828,plain,
    ( multiply(sk_c4,sP10_iProver_def) = sP11_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_5772,c_446]) ).

cnf(c_6003,plain,
    ( multiply(sP10_iProver_def,sP7_iProver_def) = sk_c7
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_3426,c_5228]) ).

cnf(c_6732,plain,
    ( multiply(sP6_iProver_def,sP15_iProver_def) = sP5_iProver_def
    | sk_c8 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_484,c_950]) ).

cnf(c_6747,plain,
    ( sk_c8 = sP12_iProver_def
    | sk_c2 = sP5_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6732,c_4800]) ).

cnf(c_6903,plain,
    ( multiply(sP6_iProver_def,sP15_iProver_def) = sP5_iProver_def
    | sk_c7 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_485,c_977]) ).

cnf(c_6919,plain,
    ( sk_c7 = sP13_iProver_def
    | sk_c2 = sP5_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6903,c_4800]) ).

cnf(c_6989,plain,
    ( sk_c8 = sP12_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_6747,c_466]) ).

cnf(c_7085,plain,
    ( sk_c7 = sP13_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_6919,c_467]) ).

cnf(c_7144,plain,
    ( multiply(sP12_iProver_def,sk_c7) = sP4_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_6989,c_439]) ).

cnf(c_8035,plain,
    ( multiply(sP12_iProver_def,sP13_iProver_def) = sP4_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_479,c_1110]) ).

cnf(c_8044,plain,
    ( sk_c8 = sP4_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_8035,c_5240]) ).

cnf(c_9460,plain,
    ( sk_c8 = sP4_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_4205,c_5240]) ).

cnf(c_9477,plain,
    ( sk_c8 = sP4_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_9460,c_8044]) ).

cnf(c_9728,plain,
    ( sP7_iProver_def != sk_c6
    | sP9_iProver_def != sk_c6
    | sP7_iProver_def = sP9_iProver_def ),
    inference(instantiation,[status(thm)],[c_5221]) ).

cnf(c_9801,plain,
    ( sP7_iProver_def != sk_c6
    | sP11_iProver_def != sk_c6
    | sP7_iProver_def = sP11_iProver_def ),
    inference(instantiation,[status(thm)],[c_5235]) ).

cnf(c_9802,plain,
    ( sP9_iProver_def != sk_c6
    | sP11_iProver_def != sk_c6
    | sP9_iProver_def = sP11_iProver_def ),
    inference(instantiation,[status(thm)],[c_5235]) ).

cnf(c_9861,plain,
    ( multiply(sP6_iProver_def,sP4_iProver_def) = identity
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_9477,c_938]) ).

cnf(c_9881,plain,
    ( sk_c7 = identity
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_9861,c_4799]) ).

cnf(c_10781,plain,
    multiply(sk_c3,sP4_iProver_def) = multiply(sP13_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_439,c_2534]) ).

cnf(c_11056,plain,
    multiply(sk_c5,sP4_iProver_def) = multiply(sP7_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_439,c_2536]) ).

cnf(c_11557,plain,
    multiply(sk_c1,sP4_iProver_def) = multiply(sP14_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_439,c_2539]) ).

cnf(c_12244,plain,
    ( multiply(sP6_iProver_def,sP15_iProver_def) = sP5_iProver_def
    | sP7_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_1243,c_2894]) ).

cnf(c_12267,plain,
    ( sk_c2 = sP5_iProver_def
    | sP7_iProver_def = sP9_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_12244,c_4800]) ).

cnf(c_12311,plain,
    ( sk_c6 = sP11_iProver_def
    | sP5_iProver_def = sP14_iProver_def
    | sP7_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_12267,c_465]) ).

cnf(c_12313,plain,
    ( sk_c6 = sP9_iProver_def
    | sP5_iProver_def = sP14_iProver_def
    | sP7_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_12267,c_463]) ).

cnf(c_12314,plain,
    ( sk_c6 = sP7_iProver_def
    | sP5_iProver_def = sP14_iProver_def
    | sP7_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_12267,c_462]) ).

cnf(c_12632,plain,
    ( multiply(sP6_iProver_def,sP15_iProver_def) = sP5_iProver_def
    | sP9_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_1368,c_2924]) ).

cnf(c_12656,plain,
    ( sk_c2 = sP5_iProver_def
    | sP9_iProver_def = sP11_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_12632,c_4800]) ).

cnf(c_12826,plain,
    ( sk_c6 = sP11_iProver_def
    | sP5_iProver_def = sP14_iProver_def
    | sP9_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_12656,c_465]) ).

cnf(c_12828,plain,
    ( sk_c6 = sP9_iProver_def
    | sP5_iProver_def = sP14_iProver_def
    | sP9_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_12656,c_463]) ).

cnf(c_12868,plain,
    ( multiply(sP6_iProver_def,sP15_iProver_def) = sP5_iProver_def
    | sP7_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_1369,c_2961]) ).

cnf(c_12893,plain,
    ( sk_c2 = sP5_iProver_def
    | sP7_iProver_def = sP11_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_12868,c_4800]) ).

cnf(c_12940,plain,
    ( sk_c6 = sP11_iProver_def
    | sP5_iProver_def = sP14_iProver_def
    | sP7_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_12893,c_465]) ).

cnf(c_12942,plain,
    ( sk_c6 = sP9_iProver_def
    | sP5_iProver_def = sP14_iProver_def
    | sP7_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_12893,c_463]) ).

cnf(c_15775,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_2541,c_86]) ).

cnf(c_15804,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_86,c_15775]) ).

cnf(c_15805,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_87,c_15775]) ).

cnf(c_15886,plain,
    multiply(inverse(sP8_iProver_def),identity) = sk_c1,
    inference(superposition,[status(thm)],[c_939,c_15775]) ).

cnf(c_15934,plain,
    multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c3,X0),
    inference(superposition,[status(thm)],[c_2557,c_15775]) ).

cnf(c_15935,plain,
    multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c4,X0),
    inference(superposition,[status(thm)],[c_2556,c_15775]) ).

cnf(c_15936,plain,
    multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c5,X0),
    inference(superposition,[status(thm)],[c_2555,c_15775]) ).

cnf(c_15968,plain,
    multiply(inverse(sP8_iProver_def),sk_c8) = sP14_iProver_def,
    inference(superposition,[status(thm)],[c_4794,c_15775]) ).

cnf(c_16004,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_15775,c_15775]) ).

cnf(c_16821,plain,
    ( multiply(sk_c8,sk_c8) != sk_c7
    | inverse(inverse(identity)) != sk_c8
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_15804,c_452]) ).

cnf(c_16874,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_15805,c_16004]) ).

cnf(c_16902,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_16874,c_15804]) ).

cnf(c_17113,plain,
    ( multiply(sP12_iProver_def,sP13_iProver_def) = sP4_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_7085,c_7144]) ).

cnf(c_17130,plain,
    ( sk_c8 = sP4_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_17113,c_5240]) ).

cnf(c_17435,plain,
    ( multiply(sP6_iProver_def,sP4_iProver_def) = identity
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_17130,c_938]) ).

cnf(c_17439,plain,
    ( multiply(sk_c5,sP4_iProver_def) = sP7_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_17130,c_442]) ).

cnf(c_17449,plain,
    ( multiply(sP7_iProver_def,sk_c7) = sP7_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_17439,c_11056]) ).

cnf(c_17460,plain,
    ( sk_c7 = identity
    | sP5_iProver_def = sP14_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_17435,c_4799]) ).

cnf(c_17955,plain,
    ( identity = sP10_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_17460,c_5772]) ).

cnf(c_18248,plain,
    ( multiply(sP10_iProver_def,X0) = X0
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_17955,c_86]) ).

cnf(c_18266,plain,
    ( multiply(sk_c3,sk_c8) != sk_c7
    | inverse(inverse(sP12_iProver_def)) != sk_c8
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_15934,c_454]) ).

cnf(c_18268,plain,
    multiply(sk_c3,sP12_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_15934,c_87]) ).

cnf(c_18273,plain,
    multiply(sk_c3,identity) = inverse(sP12_iProver_def),
    inference(superposition,[status(thm)],[c_15934,c_16874]) ).

cnf(c_18291,plain,
    ( inverse(inverse(sP12_iProver_def)) != sk_c8
    | sk_c7 != sP13_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_18266,c_448]) ).

cnf(c_18301,plain,
    ( sk_c8 = sP5_iProver_def
    | identity = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_1107,c_18268]) ).

cnf(c_18302,plain,
    ( sk_c8 = sP8_iProver_def
    | identity = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_908,c_18268]) ).

cnf(c_18646,plain,
    ( identity = sP13_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_18302,c_18301]) ).

cnf(c_18935,plain,
    inverse(sP12_iProver_def) = sk_c3,
    inference(demodulation,[status(thm)],[c_18273,c_16874]) ).

cnf(c_19389,plain,
    multiply(sk_c4,sP10_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_15935,c_87]) ).

cnf(c_19392,plain,
    ( multiply(sk_c4,sk_c7) != sk_c6
    | inverse(inverse(sP10_iProver_def)) != sk_c7
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_15935,c_455]) ).

cnf(c_19394,plain,
    multiply(sk_c4,identity) = inverse(sP10_iProver_def),
    inference(superposition,[status(thm)],[c_15935,c_16874]) ).

cnf(c_19395,plain,
    ( inverse(inverse(sP10_iProver_def)) != sk_c7
    | sk_c6 != sP11_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_19392,c_446]) ).

cnf(c_19408,plain,
    ( identity = sP11_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_5828,c_19389]) ).

cnf(c_19410,plain,
    ( sk_c8 = sP5_iProver_def
    | identity = sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_1052,c_19389]) ).

cnf(c_19411,plain,
    ( sk_c8 = sP8_iProver_def
    | identity = sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_901,c_19389]) ).

cnf(c_19990,plain,
    inverse(sP10_iProver_def) = sk_c4,
    inference(demodulation,[status(thm)],[c_19394,c_16874]) ).

cnf(c_20026,plain,
    ( identity = sP11_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_19411,c_19410]) ).

cnf(c_20883,plain,
    ( sP5_iProver_def = sP8_iProver_def
    | sP11_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_20026,c_18646]) ).

cnf(c_21464,plain,
    ( sP5_iProver_def = sP8_iProver_def
    | sP10_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_20883,c_3519]) ).

cnf(c_22301,plain,
    ( sP5_iProver_def = sP8_iProver_def
    | sP9_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_21464,c_3313]) ).

cnf(c_23365,plain,
    ( multiply(sP9_iProver_def,sP7_iProver_def) = sk_c7
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_22301,c_6003]) ).

cnf(c_23395,plain,
    ( sk_c8 = sk_c7
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_23365,c_5216]) ).

cnf(c_23960,plain,
    ( sk_c8 = identity
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_23395,c_9881]) ).

cnf(c_27004,plain,
    ( sk_c6 != sP9_iProver_def
    | sP7_iProver_def != sP9_iProver_def
    | sP7_iProver_def = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1387]) ).

cnf(c_28248,plain,
    ( sP5_iProver_def = sP14_iProver_def
    | sP7_iProver_def = sP9_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_12311,c_1816,c_1817,c_2000,c_2001,c_9728,c_12313,c_12314]) ).

cnf(c_32810,plain,
    ( sP5_iProver_def = sP14_iProver_def
    | sP9_iProver_def = sP11_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_12826,c_2000,c_2001,c_2030,c_2031,c_9802,c_12826,c_12828]) ).

cnf(c_32844,plain,
    ( sP5_iProver_def = sP14_iProver_def
    | sP7_iProver_def = sP11_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_12940,c_2030,c_2031,c_9801,c_12940,c_12942,c_27004,c_28248]) ).

cnf(c_36592,plain,
    ( sk_c7 = sP11_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_18248,c_5228]) ).

cnf(c_40097,plain,
    ( multiply(sP7_iProver_def,sP11_iProver_def) = sP7_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_36592,c_17449]) ).

cnf(c_43571,plain,
    ( sk_c8 != sk_c7
    | sk_c8 != identity
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2242,c_16902]) ).

cnf(c_45432,plain,
    ( multiply(sk_c5,sk_c8) != sk_c6
    | inverse(inverse(sP9_iProver_def)) != sk_c6
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_15936,c_453]) ).

cnf(c_45438,plain,
    multiply(sk_c5,identity) = inverse(sP9_iProver_def),
    inference(superposition,[status(thm)],[c_15936,c_16874]) ).

cnf(c_45455,plain,
    ( inverse(inverse(sP9_iProver_def)) != sk_c6
    | sk_c6 != sP7_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_45432,c_442]) ).

cnf(c_46018,plain,
    inverse(sP9_iProver_def) = sk_c5,
    inference(demodulation,[status(thm)],[c_45438,c_16874]) ).

cnf(c_46326,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_46018,c_45455,c_43571,c_40097,c_32844,c_32810,c_23960,c_19990,c_19408,c_19395,c_19389,c_18935,c_18291,c_18273,c_18268,c_16902,c_16821,c_15968,c_15886,c_11557,c_11056,c_10781,c_5240,c_5228,c_5216,c_4799,c_4794,c_2411,c_2305,c_2204,c_938,c_935,c_491,c_490,c_489,c_488,c_487,c_486,c_485,c_484,c_479,c_478,c_477,c_476,c_461,c_460,c_459,c_458,c_457,c_456,c_451,c_449,c_448,c_447,c_446,c_445,c_444,c_442,c_441,c_440,c_439]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GRP308-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri May  3 00:02:13 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  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
% 9.92/2.17  % SZS status Started for theBenchmark.p
% 9.92/2.17  % SZS status Unsatisfiable for theBenchmark.p
% 9.92/2.17  
% 9.92/2.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 9.92/2.17  
% 9.92/2.17  ------  iProver source info
% 9.92/2.17  
% 9.92/2.17  git: date: 2024-05-02 19:28:25 +0000
% 9.92/2.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 9.92/2.17  git: non_committed_changes: false
% 9.92/2.17  
% 9.92/2.17  ------ Parsing...successful
% 9.92/2.17  
% 9.92/2.17  
% 9.92/2.17  
% 9.92/2.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 9.92/2.17  
% 9.92/2.17  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 9.92/2.17  
% 9.92/2.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 9.92/2.17  ------ Proving...
% 9.92/2.17  ------ Problem Properties 
% 9.92/2.17  
% 9.92/2.17  
% 9.92/2.17  clauses                                 56
% 9.92/2.17  conjectures                             41
% 9.92/2.17  EPR                                     37
% 9.92/2.17  Horn                                    19
% 9.92/2.17  unary                                   15
% 9.92/2.17  binary                                  36
% 9.92/2.17  lits                                    106
% 9.92/2.17  lits eq                                 98
% 9.92/2.17  fd_pure                                 0
% 9.92/2.17  fd_pseudo                               0
% 9.92/2.17  fd_cond                                 0
% 9.92/2.17  fd_pseudo_cond                          0
% 9.92/2.17  AC symbols                              0
% 9.92/2.17  
% 9.92/2.17  ------ Schedule dynamic 5 is on 
% 9.92/2.17  
% 9.92/2.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.92/2.17  
% 9.92/2.17  
% 9.92/2.17  ------ 
% 9.92/2.17  Current options:
% 9.92/2.17  ------ 
% 9.92/2.17  
% 9.92/2.17  
% 9.92/2.17  
% 9.92/2.17  
% 9.92/2.17  ------ Proving...
% 9.92/2.17  
% 9.92/2.17  
% 9.92/2.17  % SZS status Unsatisfiable for theBenchmark.p
% 9.92/2.17  
% 9.92/2.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.92/2.17  
% 9.92/2.17  
%------------------------------------------------------------------------------