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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP308-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 06:59:29 EDT 2024

% Result   : Unsatisfiable 10.32s 2.22s
% Output   : CNFRefutation 10.32s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

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

cnf(c_54,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | multiply(sk_c5,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

cnf(c_56,negated_conjecture,
    ( inverse(sk_c8) = sk_c6
    | inverse(sk_c3) = sk_c8 ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

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

cnf(c_59,negated_conjecture,
    ( inverse(sk_c8) = sk_c6
    | inverse(sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

cnf(c_72,negated_conjecture,
    ( multiply(sk_c8,sk_c2) = sk_c7
    | multiply(sk_c5,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

cnf(c_78,negated_conjecture,
    ( multiply(sk_c5,sk_c8) = sk_c6
    | multiply(sk_c1,sk_c8) = sk_c2 ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

cnf(c_80,negated_conjecture,
    ( inverse(sk_c3) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

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

cnf(c_83,negated_conjecture,
    ( inverse(sk_c5) = sk_c6
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_37) ).

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

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

cnf(c_88,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/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_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_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_488,negated_conjecture,
    ( sP4_iProver_def = sk_c6
    | sP10_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_52]) ).

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

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

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

cnf(c_498,plain,
    sk_c8 = sk_c8,
    inference(instantiation,[status(thm)],[c_492]) ).

cnf(c_499,plain,
    ( multiply(sk_c8,sk_c7) != sk_c6
    | inverse(sk_c8) != sk_c7
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_455]) ).

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_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_890,plain,
    ( multiply(sP11_iProver_def,sk_c7) = sP5_iProver_def
    | sk_c7 = sP15_iProver_def ),
    inference(superposition,[status(thm)],[c_471,c_440]) ).

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_949,plain,
    ( multiply(sk_c4,sP15_iProver_def) = sP11_iProver_def
    | sk_c8 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_472,c_446]) ).

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_966,plain,
    ( sk_c6 != X0
    | sP4_iProver_def != X0
    | sP4_iProver_def = sk_c6 ),
    inference(instantiation,[status(thm)],[c_493]) ).

cnf(c_969,plain,
    ( X0 != X1
    | sk_c6 != X1
    | sk_c6 = X0 ),
    inference(instantiation,[status(thm)],[c_493]) ).

cnf(c_976,plain,
    ( multiply(sk_c4,sP15_iProver_def) = sP11_iProver_def
    | sk_c7 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_473,c_446]) ).

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_993,plain,
    ( X0 != sk_c6
    | sk_c6 != sk_c6
    | sk_c6 = X0 ),
    inference(instantiation,[status(thm)],[c_969]) ).

cnf(c_994,plain,
    sk_c6 = sk_c6,
    inference(instantiation,[status(thm)],[c_492]) ).

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

cnf(c_1035,plain,
    ( multiply(sP9_iProver_def,sk_c7) = sP5_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_475,c_440]) ).

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_1073,plain,
    ( sk_c6 != sk_c6
    | sP6_iProver_def != sk_c6
    | sk_c6 = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_993]) ).

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_1097,plain,
    ( sk_c6 != sk_c6
    | sP4_iProver_def != sk_c6
    | sk_c6 = sP4_iProver_def ),
    inference(instantiation,[status(thm)],[c_993]) ).

cnf(c_1098,plain,
    ( inverse(X0) != X1
    | sk_c7 != X1
    | inverse(X0) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_493]) ).

cnf(c_1099,plain,
    ( inverse(sk_c8) != sk_c8
    | sk_c7 != sk_c8
    | inverse(sk_c8) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_1098]) ).

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_1140,plain,
    ( sk_c6 != sP6_iProver_def
    | sP4_iProver_def != sP6_iProver_def
    | sP4_iProver_def = sk_c6 ),
    inference(instantiation,[status(thm)],[c_966]) ).

cnf(c_1141,plain,
    ( X0 != sP6_iProver_def
    | sk_c6 != sP6_iProver_def
    | X0 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1002]) ).

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_1180,plain,
    ( X0 != sP4_iProver_def
    | sk_c6 != sP4_iProver_def
    | X0 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1002]) ).

cnf(c_1183,plain,
    ( sk_c8 != sP4_iProver_def
    | sk_c6 != sP4_iProver_def
    | sk_c8 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1180]) ).

cnf(c_1225,plain,
    ( inverse(X0) != X1
    | X2 != X1
    | inverse(X0) = X2 ),
    inference(instantiation,[status(thm)],[c_493]) ).

cnf(c_1279,plain,
    ( sk_c7 = sP10_iProver_def
    | sk_c6 = sP6_iProver_def
    | sP6_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_482,c_481]) ).

cnf(c_1407,plain,
    ( sk_c8 = sP12_iProver_def
    | sk_c6 = sP6_iProver_def
    | sP6_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_484,c_483]) ).

cnf(c_1561,plain,
    ( inverse(sk_c8) != sP6_iProver_def
    | X0 != sP6_iProver_def
    | inverse(sk_c8) = X0 ),
    inference(instantiation,[status(thm)],[c_1225]) ).

cnf(c_1562,plain,
    ( inverse(sk_c8) != sP6_iProver_def
    | sk_c8 != sP6_iProver_def
    | inverse(sk_c8) = sk_c8 ),
    inference(instantiation,[status(thm)],[c_1561]) ).

cnf(c_1588,plain,
    ( sk_c8 = sP12_iProver_def
    | sk_c6 = sP4_iProver_def
    | sP6_iProver_def = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_486,c_484]) ).

cnf(c_1590,plain,
    ( sk_c7 = sP10_iProver_def
    | sk_c6 = sP4_iProver_def
    | sP6_iProver_def = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_486,c_482]) ).

cnf(c_1807,plain,
    sk_c7 = sk_c7,
    inference(instantiation,[status(thm)],[c_492]) ).

cnf(c_1808,plain,
    ( X0 != X1
    | sk_c7 != X1
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_493]) ).

cnf(c_1925,plain,
    ( sk_c8 = sP12_iProver_def
    | sP4_iProver_def = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_490,c_484]) ).

cnf(c_2181,plain,
    ( X0 != X1
    | sP6_iProver_def != X1
    | X0 = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_493]) ).

cnf(c_2190,plain,
    ( inverse(sk_c3) != sk_c6
    | sk_c6 != sP13_iProver_def
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_448,c_453]) ).

cnf(c_2212,plain,
    ( sk_c6 != sP12_iProver_def
    | sk_c6 != sP13_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2190,c_447]) ).

cnf(c_2239,plain,
    ( inverse(sk_c3) != sk_c8
    | sk_c7 != sP13_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_448,c_454]) ).

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_2261,plain,
    ( sk_c8 != sP12_iProver_def
    | sk_c7 != sP13_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2239,c_447]) ).

cnf(c_2292,plain,
    ( X0 != X1
    | sP10_iProver_def != X1
    | X0 = sP10_iProver_def ),
    inference(instantiation,[status(thm)],[c_493]) ).

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_2408,plain,
    ( multiply(sk_c8,sP14_iProver_def) != sk_c7
    | inverse(sk_c1) != sk_c8
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_449,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_2535,plain,
    multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sP11_iProver_def,X0),
    inference(superposition,[status(thm)],[c_446,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_2537,plain,
    multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sP5_iProver_def,X0),
    inference(superposition,[status(thm)],[c_440,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_3068,plain,
    ( inverse(sk_c8) != sP6_iProver_def
    | sk_c6 != sP6_iProver_def
    | inverse(sk_c8) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1561]) ).

cnf(c_3082,plain,
    ( sk_c6 != sP6_iProver_def
    | sP6_iProver_def != sP6_iProver_def
    | sP6_iProver_def = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1141]) ).

cnf(c_3083,plain,
    sP6_iProver_def = sP6_iProver_def,
    inference(instantiation,[status(thm)],[c_492]) ).

cnf(c_3105,plain,
    ( X0 != X1
    | sP4_iProver_def != X1
    | X0 = sP4_iProver_def ),
    inference(instantiation,[status(thm)],[c_493]) ).

cnf(c_3107,plain,
    ( multiply(sk_c8,sk_c7) != sP4_iProver_def
    | sk_c6 != sP4_iProver_def
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1180]) ).

cnf(c_3145,plain,
    ( sk_c8 != sP5_iProver_def
    | sk_c6 != sP6_iProver_def
    | sP4_iProver_def != sP7_iProver_def
    | sk_c8 = sP8_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_456,c_451]) ).

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_4797,plain,
    multiply(sP8_iProver_def,multiply(sP14_iProver_def,X0)) = multiply(sk_c8,X0),
    inference(superposition,[status(thm)],[c_4794,c_88]) ).

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_5212,plain,
    multiply(sP6_iProver_def,multiply(sP4_iProver_def,X0)) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_4799,c_88]) ).

cnf(c_5214,plain,
    multiply(sP6_iProver_def,multiply(sP15_iProver_def,X0)) = multiply(sk_c2,X0),
    inference(superposition,[status(thm)],[c_4800,c_88]) ).

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

cnf(c_5226,plain,
    multiply(sP9_iProver_def,multiply(sP7_iProver_def,X0)) = multiply(sk_c8,X0),
    inference(superposition,[status(thm)],[c_5216,c_88]) ).

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

cnf(c_5231,plain,
    multiply(sP10_iProver_def,multiply(sP11_iProver_def,X0)) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_5228,c_88]) ).

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

cnf(c_5243,plain,
    multiply(sP12_iProver_def,multiply(sP13_iProver_def,X0)) = multiply(sk_c8,X0),
    inference(superposition,[status(thm)],[c_5240,c_88]) ).

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_5897,plain,
    ( X0 != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = X0 ),
    inference(instantiation,[status(thm)],[c_1808]) ).

cnf(c_5898,plain,
    ( sk_c8 != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = sk_c8 ),
    inference(instantiation,[status(thm)],[c_5897]) ).

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_6305,plain,
    ( X0 != sk_c7
    | sP10_iProver_def != sk_c7
    | X0 = sP10_iProver_def ),
    inference(instantiation,[status(thm)],[c_2292]) ).

cnf(c_6708,plain,
    ( multiply(sP10_iProver_def,sP11_iProver_def) = sP15_iProver_def
    | sk_c8 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_949,c_2556]) ).

cnf(c_6709,plain,
    ( sk_c8 = sP12_iProver_def
    | sk_c7 = sP15_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6708,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_6879,plain,
    ( multiply(sP10_iProver_def,sP11_iProver_def) = sP15_iProver_def
    | sk_c7 = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_976,c_2556]) ).

cnf(c_6880,plain,
    ( sk_c7 = sP13_iProver_def
    | sk_c7 = sP15_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6879,c_5228]) ).

cnf(c_6902,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_6918,plain,
    ( sk_c7 = sP13_iProver_def
    | sk_c2 = sP5_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6902,c_4800]) ).

cnf(c_6986,plain,
    ( sk_c8 = sP12_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_6747,c_466]) ).

cnf(c_7068,plain,
    ( X0 != sk_c6
    | sP4_iProver_def != sk_c6
    | X0 = sP4_iProver_def ),
    inference(instantiation,[status(thm)],[c_3105]) ).

cnf(c_7082,plain,
    ( sk_c7 = sP13_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_6918,c_467]) ).

cnf(c_7141,plain,
    ( multiply(sP12_iProver_def,sk_c7) = sP4_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_6986,c_439]) ).

cnf(c_7744,plain,
    ( multiply(sP9_iProver_def,sP10_iProver_def) = sP5_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_476,c_1035]) ).

cnf(c_8032,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_8041,plain,
    ( sk_c8 = sP4_iProver_def
    | sk_c8 = sP5_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_8032,c_5240]) ).

cnf(c_8253,plain,
    ( X0 != X1
    | sP12_iProver_def != X1
    | X0 = sP12_iProver_def ),
    inference(instantiation,[status(thm)],[c_493]) ).

cnf(c_8254,plain,
    ( sk_c8 != sk_c8
    | sP12_iProver_def != sk_c8
    | sk_c8 = sP12_iProver_def ),
    inference(instantiation,[status(thm)],[c_8253]) ).

cnf(c_9413,plain,
    ( sk_c8 = sP4_iProver_def
    | sk_c8 = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_4205,c_5240]) ).

cnf(c_9432,plain,
    ( sk_c8 = sP4_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_9413,c_8041]) ).

cnf(c_9816,plain,
    ( multiply(sP6_iProver_def,sP4_iProver_def) = identity
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_9432,c_938]) ).

cnf(c_9819,plain,
    ( multiply(sk_c3,sP4_iProver_def) = sP13_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_9432,c_448]) ).

cnf(c_9836,plain,
    ( sk_c7 = identity
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_9816,c_4799]) ).

cnf(c_9923,plain,
    ( sk_c7 != sk_c7
    | sP10_iProver_def != sk_c7
    | sk_c7 = sP10_iProver_def ),
    inference(instantiation,[status(thm)],[c_6305]) ).

cnf(c_10166,plain,
    ( sk_c8 = sP12_iProver_def
    | identity = sP15_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_9836,c_472]) ).

cnf(c_10167,plain,
    ( multiply(sk_c4,identity) = sP11_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_9836,c_446]) ).

cnf(c_10168,plain,
    ( sk_c7 = sP10_iProver_def
    | identity = sP15_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_9836,c_470]) ).

cnf(c_10169,plain,
    ( multiply(sk_c6,identity) = sP5_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_9836,c_440]) ).

cnf(c_10692,plain,
    multiply(sk_c3,sP4_iProver_def) = multiply(sP13_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_439,c_2534]) ).

cnf(c_11010,plain,
    multiply(sk_c5,sP4_iProver_def) = multiply(sP7_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_439,c_2536]) ).

cnf(c_11232,plain,
    multiply(sP9_iProver_def,multiply(sP7_iProver_def,sk_c7)) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_11010,c_2555]) ).

cnf(c_11510,plain,
    multiply(sk_c1,sP4_iProver_def) = multiply(sP14_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_439,c_2539]) ).

cnf(c_11785,plain,
    ( sk_c6 = sP6_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_1279,c_482,c_994,c_1073,c_1807,c_9923]) ).

cnf(c_11786,plain,
    ( sk_c7 = sP10_iProver_def
    | sk_c6 = sP6_iProver_def ),
    inference(renaming,[status(thm)],[c_11785]) ).

cnf(c_11988,plain,
    ( sk_c6 = sP6_iProver_def
    | sk_c8 = sP12_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_1407,c_498,c_484,c_994,c_1073,c_8254]) ).

cnf(c_11989,plain,
    ( sk_c8 = sP12_iProver_def
    | sk_c6 = sP6_iProver_def ),
    inference(renaming,[status(thm)],[c_11988]) ).

cnf(c_13114,plain,
    ( sk_c6 = sP4_iProver_def
    | sk_c8 = sP12_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_1588,c_498,c_490,c_994,c_1097,c_8254]) ).

cnf(c_13115,plain,
    ( sk_c8 = sP12_iProver_def
    | sk_c6 = sP4_iProver_def ),
    inference(renaming,[status(thm)],[c_13114]) ).

cnf(c_13185,plain,
    ( sk_c6 = sP4_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_1590,c_488,c_994,c_1097,c_1807,c_9923]) ).

cnf(c_13186,plain,
    ( sk_c7 = sP10_iProver_def
    | sk_c6 = sP4_iProver_def ),
    inference(renaming,[status(thm)],[c_13185]) ).

cnf(c_15630,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_2541,c_86]) ).

cnf(c_15656,plain,
    multiply(inverse(sk_c6),sP5_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_440,c_15630]) ).

cnf(c_15659,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_86,c_15630]) ).

cnf(c_15660,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_87,c_15630]) ).

cnf(c_15740,plain,
    multiply(inverse(sP6_iProver_def),identity) = sk_c8,
    inference(superposition,[status(thm)],[c_938,c_15630]) ).

cnf(c_15789,plain,
    multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c3,X0),
    inference(superposition,[status(thm)],[c_2557,c_15630]) ).

cnf(c_15790,plain,
    multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c4,X0),
    inference(superposition,[status(thm)],[c_2556,c_15630]) ).

cnf(c_15791,plain,
    multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c5,X0),
    inference(superposition,[status(thm)],[c_2555,c_15630]) ).

cnf(c_15792,plain,
    multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c8,X0),
    inference(superposition,[status(thm)],[c_2554,c_15630]) ).

cnf(c_15823,plain,
    multiply(inverse(sP8_iProver_def),sk_c8) = sP14_iProver_def,
    inference(superposition,[status(thm)],[c_4794,c_15630]) ).

cnf(c_15825,plain,
    multiply(inverse(sP6_iProver_def),sk_c7) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_4799,c_15630]) ).

cnf(c_15826,plain,
    multiply(inverse(sP6_iProver_def),sk_c2) = sP15_iProver_def,
    inference(superposition,[status(thm)],[c_4800,c_15630]) ).

cnf(c_15859,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_15630,c_15630]) ).

cnf(c_16701,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_15660,c_15859]) ).

cnf(c_16708,plain,
    multiply(sk_c5,sk_c8) = multiply(sP7_iProver_def,identity),
    inference(superposition,[status(thm)],[c_16701,c_2536]) ).

cnf(c_16709,plain,
    multiply(sk_c3,sk_c8) = multiply(sP13_iProver_def,identity),
    inference(superposition,[status(thm)],[c_16701,c_2534]) ).

cnf(c_16715,plain,
    multiply(sk_c7,identity) = multiply(sP6_iProver_def,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_16701,c_5212]) ).

cnf(c_16716,plain,
    multiply(sk_c6,sk_c7) = multiply(sP5_iProver_def,identity),
    inference(superposition,[status(thm)],[c_16701,c_2537]) ).

cnf(c_16717,plain,
    multiply(sk_c4,sk_c7) = multiply(sP11_iProver_def,identity),
    inference(superposition,[status(thm)],[c_16701,c_2535]) ).

cnf(c_16719,plain,
    multiply(sk_c8,identity) = multiply(sP12_iProver_def,sP13_iProver_def),
    inference(superposition,[status(thm)],[c_16701,c_5243]) ).

cnf(c_16720,plain,
    multiply(sk_c7,identity) = multiply(sP10_iProver_def,sP11_iProver_def),
    inference(superposition,[status(thm)],[c_16701,c_5231]) ).

cnf(c_16721,plain,
    multiply(sk_c8,identity) = multiply(sP9_iProver_def,sP7_iProver_def),
    inference(superposition,[status(thm)],[c_16701,c_5226]) ).

cnf(c_16722,plain,
    multiply(sk_c2,identity) = multiply(sP6_iProver_def,sP15_iProver_def),
    inference(superposition,[status(thm)],[c_16701,c_5214]) ).

cnf(c_16724,plain,
    multiply(sk_c8,identity) = multiply(sP8_iProver_def,sP14_iProver_def),
    inference(superposition,[status(thm)],[c_16701,c_4797]) ).

cnf(c_16729,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_16701,c_15659]) ).

cnf(c_16730,plain,
    multiply(sk_c8,identity) = sk_c8,
    inference(light_normalisation,[status(thm)],[c_16724,c_4794]) ).

cnf(c_16732,plain,
    multiply(sk_c2,identity) = sk_c2,
    inference(light_normalisation,[status(thm)],[c_16722,c_4800]) ).

cnf(c_16734,plain,
    multiply(sk_c7,identity) = sk_c7,
    inference(light_normalisation,[status(thm)],[c_16720,c_5228]) ).

cnf(c_16737,plain,
    multiply(sP11_iProver_def,identity) = sP11_iProver_def,
    inference(light_normalisation,[status(thm)],[c_16717,c_446]) ).

cnf(c_16738,plain,
    multiply(sP5_iProver_def,identity) = sP5_iProver_def,
    inference(light_normalisation,[status(thm)],[c_16716,c_440]) ).

cnf(c_16740,plain,
    multiply(sP13_iProver_def,identity) = sP13_iProver_def,
    inference(light_normalisation,[status(thm)],[c_16709,c_448]) ).

cnf(c_16741,plain,
    multiply(sP7_iProver_def,identity) = sP7_iProver_def,
    inference(light_normalisation,[status(thm)],[c_16708,c_442]) ).

cnf(c_16828,plain,
    multiply(identity,identity) = identity,
    inference(superposition,[status(thm)],[c_16729,c_87]) ).

cnf(c_16965,plain,
    ( multiply(sP12_iProver_def,sP13_iProver_def) = sP4_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_7082,c_7141]) ).

cnf(c_16982,plain,
    ( sk_c8 = sP4_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_16965,c_5240]) ).

cnf(c_17283,plain,
    ( multiply(sk_c1,sP4_iProver_def) = sP14_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_16982,c_449]) ).

cnf(c_17301,plain,
    ( multiply(sP14_iProver_def,sk_c7) = sP14_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_17283,c_11510]) ).

cnf(c_18097,plain,
    ( multiply(sk_c8,multiply(sk_c3,sk_c8)) != sk_c7
    | inverse(inverse(sP12_iProver_def)) != sk_c8
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_15789,c_452]) ).

cnf(c_18100,plain,
    multiply(sk_c3,sP12_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_15789,c_87]) ).

cnf(c_18105,plain,
    multiply(sk_c3,identity) = inverse(sP12_iProver_def),
    inference(superposition,[status(thm)],[c_15789,c_16701]) ).

cnf(c_18133,plain,
    ( sk_c8 = sP5_iProver_def
    | identity = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_1107,c_18100]) ).

cnf(c_18134,plain,
    ( sk_c8 = sP8_iProver_def
    | identity = sP13_iProver_def ),
    inference(demodulation,[status(thm)],[c_908,c_18100]) ).

cnf(c_18156,plain,
    ( sP4_iProver_def != sk_c6
    | sP6_iProver_def != sk_c6
    | sP6_iProver_def = sP4_iProver_def ),
    inference(instantiation,[status(thm)],[c_7068]) ).

cnf(c_18468,plain,
    ( identity = sP13_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_18134,c_18133]) ).

cnf(c_18767,plain,
    inverse(sP12_iProver_def) = sk_c3,
    inference(demodulation,[status(thm)],[c_18105,c_16701]) ).

cnf(c_18946,plain,
    ( multiply(sP13_iProver_def,X0) = X0
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_18468,c_86]) ).

cnf(c_19221,plain,
    multiply(sk_c4,sP10_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_15790,c_87]) ).

cnf(c_19224,plain,
    ( multiply(sk_c4,sk_c7) != sk_c6
    | inverse(inverse(sP10_iProver_def)) != sk_c7
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_15790,c_455]) ).

cnf(c_19226,plain,
    multiply(sk_c4,identity) = inverse(sP10_iProver_def),
    inference(superposition,[status(thm)],[c_15790,c_16701]) ).

cnf(c_19240,plain,
    ( identity = sP11_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(demodulation,[status(thm)],[c_5828,c_19221]) ).

cnf(c_19242,plain,
    ( sk_c8 = sP5_iProver_def
    | identity = sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_1052,c_19221]) ).

cnf(c_19243,plain,
    ( sk_c8 = sP8_iProver_def
    | identity = sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_901,c_19221]) ).

cnf(c_19294,plain,
    ( multiply(sP11_iProver_def,X0) = X0
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_19240,c_86]) ).

cnf(c_19822,plain,
    inverse(sP10_iProver_def) = sk_c4,
    inference(demodulation,[status(thm)],[c_19226,c_16701]) ).

cnf(c_19858,plain,
    ( identity = sP11_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_19243,c_19242]) ).

cnf(c_20057,plain,
    ( X0 != sP4_iProver_def
    | sP6_iProver_def != sP4_iProver_def
    | X0 = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_2181]) ).

cnf(c_20058,plain,
    ( sk_c8 != sP4_iProver_def
    | sP6_iProver_def != sP4_iProver_def
    | sk_c8 = sP6_iProver_def ),
    inference(instantiation,[status(thm)],[c_20057]) ).

cnf(c_20715,plain,
    ( sP5_iProver_def = sP8_iProver_def
    | sP11_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_19858,c_18468]) ).

cnf(c_21298,plain,
    ( sP5_iProver_def = sP8_iProver_def
    | sP10_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_20715,c_3519]) ).

cnf(c_21708,plain,
    ( multiply(sP13_iProver_def,sk_c7) = sP13_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_9819,c_10692]) ).

cnf(c_22138,plain,
    ( sP5_iProver_def = sP8_iProver_def
    | sP7_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_21298,c_3426]) ).

cnf(c_22139,plain,
    ( sP5_iProver_def = sP8_iProver_def
    | sP9_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_21298,c_3313]) ).

cnf(c_22569,plain,
    ( multiply(sP9_iProver_def,sP7_iProver_def) = sP5_iProver_def
    | sk_c8 = sP5_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_22138,c_7744]) ).

cnf(c_22626,plain,
    ( sk_c8 = sP5_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_22569,c_5216]) ).

cnf(c_22730,plain,
    ( sk_c4 = sP11_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_10167,c_16701]) ).

cnf(c_22753,plain,
    ( inverse(sP11_iProver_def) = sP10_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_22730,c_445]) ).

cnf(c_22798,plain,
    ( inverse(sP10_iProver_def) = sP10_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_21298,c_22753]) ).

cnf(c_22810,plain,
    ( sk_c4 = sP10_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_22798,c_19822]) ).

cnf(c_22819,plain,
    ( sk_c6 = sP5_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(demodulation,[status(thm)],[c_10169,c_16701]) ).

cnf(c_23101,plain,
    ( multiply(sP9_iProver_def,sP7_iProver_def) = sk_c7
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_22139,c_6003]) ).

cnf(c_23131,plain,
    ( sk_c8 = sk_c7
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_23101,c_5216]) ).

cnf(c_23312,plain,
    ( sP4_iProver_def = sP5_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_22626,c_9432]) ).

cnf(c_23718,plain,
    ( sk_c8 = identity
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_23131,c_9836]) ).

cnf(c_25036,plain,
    ( identity = sP4_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_23718,c_9432]) ).

cnf(c_25065,plain,
    ( multiply(identity,multiply(X0,identity)) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP3_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_23718,c_452]) ).

cnf(c_25066,plain,
    ( multiply(X0,identity) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP1_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_23718,c_454]) ).

cnf(c_25067,plain,
    ( multiply(X0,identity) != sk_c6
    | inverse(X0) != sk_c6
    | ~ sP2_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_23718,c_453]) ).

cnf(c_25074,plain,
    ( inverse(identity) = sP6_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_23718,c_441]) ).

cnf(c_25081,plain,
    ( identity = sP6_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_25074,c_16729]) ).

cnf(c_25187,plain,
    ( inverse(X0) != sk_c6
    | X0 != sk_c6
    | ~ sP2_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_25067,c_16701]) ).

cnf(c_25192,plain,
    ( inverse(X0) != sk_c8
    | X0 != sk_c7
    | ~ sP1_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_25066,c_16701]) ).

cnf(c_25197,plain,
    ( inverse(X0) != sk_c8
    | X0 != sk_c7
    | ~ sP3_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_25065,c_86,c_16701]) ).

cnf(c_25208,plain,
    ( inverse(sk_c8) != sk_c8
    | sk_c8 != sk_c7
    | ~ sP3_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(instantiation,[status(thm)],[c_25197]) ).

cnf(c_25209,plain,
    ( inverse(sk_c8) != sk_c8
    | sk_c8 != sk_c7
    | ~ sP1_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(instantiation,[status(thm)],[c_25192]) ).

cnf(c_25210,plain,
    ( inverse(sk_c8) != sk_c6
    | sk_c8 != sk_c6
    | ~ sP2_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(instantiation,[status(thm)],[c_25187]) ).

cnf(c_25468,plain,
    ( sP4_iProver_def = sP11_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_25036,c_19858]) ).

cnf(c_26061,plain,
    ( sP4_iProver_def = sP6_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_25081,c_25036]) ).

cnf(c_26063,plain,
    ( sP5_iProver_def = sP8_iProver_def
    | sP6_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_25081,c_19858]) ).

cnf(c_26349,plain,
    ( sP4_iProver_def = sP7_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_25468,c_3426]) ).

cnf(c_27401,plain,
    ( sP5_iProver_def = sP8_iProver_def
    | sP6_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_26063,c_3313]) ).

cnf(c_27763,plain,
    ( sk_c8 = sP12_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_10166,c_498,c_499,c_439,c_441,c_451,c_478,c_1099,c_1140,c_1183,c_1562,c_1807,c_1925,c_3068,c_3082,c_3083,c_3107,c_5898,c_8254,c_9432,c_11989,c_13115,c_18156,c_20058,c_23131,c_25208,c_25209,c_25210]) ).

cnf(c_28006,plain,
    ( sk_c7 = sP10_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_10168,c_499,c_439,c_441,c_451,c_476,c_482,c_488,c_1099,c_1183,c_1562,c_1807,c_3068,c_3107,c_5898,c_9432,c_9923,c_11786,c_13186,c_18156,c_20058,c_23131,c_25208,c_25209,c_25210]) ).

cnf(c_28038,plain,
    ( sk_c8 = sP10_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_28006,c_23131]) ).

cnf(c_33610,plain,
    ( multiply(inverse(sP14_iProver_def),sP14_iProver_def) = sk_c7
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_17301,c_15630]) ).

cnf(c_35082,plain,
    ( sP5_iProver_def = sP8_iProver_def
    | sP10_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_28038,c_27763]) ).

cnf(c_38308,plain,
    ( inverse(sP10_iProver_def) = sk_c3
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_35082,c_18767]) ).

cnf(c_38336,plain,
    ( sk_c3 = sk_c4
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_38308,c_19822]) ).

cnf(c_39686,plain,
    ( sk_c7 = sP13_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_18946,c_21708]) ).

cnf(c_42083,plain,
    ( sk_c7 = sP5_iProver_def
    | sk_c7 = sP15_iProver_def
    | sP5_iProver_def = sP14_iProver_def ),
    inference(superposition,[status(thm)],[c_19294,c_890]) ).

cnf(c_42382,plain,
    ( sk_c3 = sP10_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_38336,c_22810]) ).

cnf(c_42383,plain,
    ( sk_c3 = sP11_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_38336,c_22730]) ).

cnf(c_42400,plain,
    ( inverse(sk_c3) = sP10_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_38336,c_445]) ).

cnf(c_42564,plain,
    ( sk_c8 = sP13_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_39686,c_23131]) ).

cnf(c_42633,plain,
    ( multiply(sk_c8,sP13_iProver_def) = sP4_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_39686,c_439]) ).

cnf(c_43277,plain,
    ( sk_c8 != sk_c7
    | sk_c8 != identity
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2242,c_16729]) ).

cnf(c_44487,plain,
    ( inverse(sP10_iProver_def) = sP12_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_42382,c_447]) ).

cnf(c_44488,plain,
    ( sk_c4 = sP12_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_44487,c_19822]) ).

cnf(c_44589,plain,
    ( inverse(sP11_iProver_def) = sP12_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_42383,c_447]) ).

cnf(c_44719,plain,
    ( inverse(sP13_iProver_def) = sP6_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_42564,c_441]) ).

cnf(c_44854,plain,
    ( inverse(sP9_iProver_def) = sP12_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_3313,c_44589]) ).

cnf(c_44876,plain,
    ( inverse(sP11_iProver_def) = sP6_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_20715,c_44719]) ).

cnf(c_44999,plain,
    ( inverse(sP12_iProver_def) = sP10_iProver_def
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_44488,c_445]) ).

cnf(c_45023,plain,
    multiply(sk_c5,sP9_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_15791,c_87]) ).

cnf(c_45026,plain,
    ( multiply(sk_c5,sk_c7) != sk_c6
    | inverse(inverse(sP9_iProver_def)) != sk_c7
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_15791,c_455]) ).

cnf(c_45028,plain,
    multiply(sk_c5,identity) = inverse(sP9_iProver_def),
    inference(superposition,[status(thm)],[c_15791,c_16701]) ).

cnf(c_45160,plain,
    multiply(sP9_iProver_def,identity) = sP9_iProver_def,
    inference(superposition,[status(thm)],[c_45023,c_2555]) ).

cnf(c_45626,plain,
    inverse(sP9_iProver_def) = sk_c5,
    inference(demodulation,[status(thm)],[c_45028,c_16701]) ).

cnf(c_45629,plain,
    ( inverse(sP6_iProver_def) = sk_c5
    | sP5_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_27401,c_45626]) ).

cnf(c_45791,plain,
    ( multiply(sk_c8,sk_c8) != sk_c6
    | inverse(inverse(sP6_iProver_def)) != sk_c6
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_15792,c_453]) ).

cnf(c_45797,plain,
    multiply(sk_c8,identity) = inverse(sP6_iProver_def),
    inference(superposition,[status(thm)],[c_15792,c_16701]) ).

cnf(c_45860,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_45791,c_45797,c_45629,c_45626,c_45160,c_45026,c_44999,c_44876,c_44854,c_44589,c_43277,c_42633,c_42564,c_42400,c_42383,c_42083,c_39686,c_33610,c_28006,c_27763,c_26349,c_26061,c_23312,c_22819,c_22626,c_19822,c_19224,c_19221,c_18767,c_18097,c_18100,c_16741,c_16740,c_16738,c_16737,c_16734,c_16732,c_16730,c_16724,c_16722,c_16721,c_16719,c_16717,c_16716,c_16715,c_16709,c_16708,c_16729,c_15826,c_15825,c_15823,c_15740,c_15656,c_11232,c_11010,c_10692,c_6880,c_6709,c_3145,c_2408,c_2305,c_2261,c_2212,c_16828,c_938,c_486,c_480,c_468,c_467,c_466,c_465,c_464,c_462,c_461,c_460,c_459,c_458,c_457,c_456,c_451,c_447,c_445,c_444,c_443,c_441]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.16  % Problem  : GRP308-1 : TPTP v8.2.0. Released v2.5.0.
% 0.08/0.16  % Command  : run_iprover %s %d THM
% 0.14/0.38  % Computer : n027.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8042.1875MB
% 0.14/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38  % CPULimit : 300
% 0.14/0.38  % WCLimit  : 300
% 0.14/0.38  % DateTime : Thu Jun 20 12:19:09 EDT 2024
% 0.14/0.38  % CPUTime  : 
% 0.24/0.54  Running first-order theorem proving
% 0.24/0.54  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 10.32/2.22  % SZS status Started for theBenchmark.p
% 10.32/2.22  % SZS status Unsatisfiable for theBenchmark.p
% 10.32/2.22  
% 10.32/2.22  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.32/2.22  
% 10.32/2.22  ------  iProver source info
% 10.32/2.22  
% 10.32/2.22  git: date: 2024-06-12 09:56:46 +0000
% 10.32/2.22  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 10.32/2.22  git: non_committed_changes: false
% 10.32/2.22  
% 10.32/2.22  ------ Parsing...successful
% 10.32/2.22  
% 10.32/2.22  
% 10.32/2.22  
% 10.32/2.22  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 10.32/2.22  
% 10.32/2.22  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 10.32/2.22  
% 10.32/2.22  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 10.32/2.22  ------ Proving...
% 10.32/2.22  ------ Problem Properties 
% 10.32/2.22  
% 10.32/2.22  
% 10.32/2.22  clauses                                 56
% 10.32/2.22  conjectures                             41
% 10.32/2.22  EPR                                     37
% 10.32/2.22  Horn                                    19
% 10.32/2.22  unary                                   15
% 10.32/2.22  binary                                  36
% 10.32/2.22  lits                                    106
% 10.32/2.22  lits eq                                 98
% 10.32/2.22  fd_pure                                 0
% 10.32/2.22  fd_pseudo                               0
% 10.32/2.22  fd_cond                                 0
% 10.32/2.22  fd_pseudo_cond                          0
% 10.32/2.22  AC symbols                              0
% 10.32/2.22  
% 10.32/2.22  ------ Schedule dynamic 5 is on 
% 10.32/2.22  
% 10.32/2.22  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.32/2.22  
% 10.32/2.22  
% 10.32/2.22  ------ 
% 10.32/2.22  Current options:
% 10.32/2.22  ------ 
% 10.32/2.22  
% 10.32/2.22  
% 10.32/2.22  
% 10.32/2.22  
% 10.32/2.22  ------ Proving...
% 10.32/2.22  
% 10.32/2.22  
% 10.32/2.22  % SZS status Unsatisfiable for theBenchmark.p
% 10.32/2.22  
% 10.32/2.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.32/2.22  
% 10.32/2.23  
%------------------------------------------------------------------------------