TSTP Solution File: GRP315-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP315-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 06:59:36 EDT 2024

% Result   : Unsatisfiable 4.25s 1.19s
% Output   : CNFRefutation 4.25s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

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

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

cnf(c_52,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

cnf(c_53,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

cnf(c_54,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

cnf(c_55,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

cnf(c_56,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

cnf(c_57,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

cnf(c_58,negated_conjecture,
    ( multiply(sk_c2,sk_c6) = sk_c5
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

cnf(c_59,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | multiply(sk_c2,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

cnf(c_60,negated_conjecture,
    ( multiply(sk_c2,sk_c6) = sk_c5
    | inverse(sk_c4) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

cnf(c_61,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | multiply(sk_c2,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

cnf(c_62,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

cnf(c_63,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

cnf(c_64,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

cnf(c_65,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_66,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c6
    | multiply(X1,sk_c6) != sk_c5
    | multiply(X2,sk_c6) != sk_c7
    | multiply(X3,sk_c5) != sk_c6
    | multiply(sk_c6,sk_c7) != sk_c5
    | inverse(X0) != sk_c7
    | inverse(X1) != sk_c6
    | inverse(X2) != sk_c7
    | inverse(X3) != sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

cnf(c_67,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_68,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_69,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_74,plain,
    ( multiply(X3,sk_c5) != sk_c6
    | multiply(X2,sk_c6) != sk_c7
    | multiply(X1,sk_c6) != sk_c5
    | multiply(X0,sk_c7) != sk_c6
    | inverse(X0) != sk_c7
    | inverse(X1) != sk_c6
    | inverse(X2) != sk_c7
    | inverse(X3) != sk_c6 ),
    inference(global_subsumption_just,[status(thm)],[c_66,c_49,c_66]) ).

cnf(c_75,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c6
    | multiply(X1,sk_c6) != sk_c5
    | multiply(X2,sk_c6) != sk_c7
    | multiply(X3,sk_c5) != sk_c6
    | inverse(X0) != sk_c7
    | inverse(X1) != sk_c6
    | inverse(X2) != sk_c7
    | inverse(X3) != sk_c6 ),
    inference(renaming,[status(thm)],[c_74]) ).

cnf(c_247,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | inverse(X0) != sk_c7
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_75]) ).

cnf(c_248,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c5
    | inverse(X0) != sk_c6
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_75]) ).

cnf(c_249,negated_conjecture,
    ( multiply(X0,sk_c5) != sk_c6
    | inverse(X0) != sk_c6
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_75]) ).

cnf(c_250,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c6
    | inverse(X0) != sk_c7
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_75]) ).

cnf(c_251,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_75]) ).

cnf(c_252,plain,
    multiply(sk_c4,sk_c5) = sP4_iProver_def,
    definition ).

cnf(c_253,plain,
    inverse(sk_c2) = sP5_iProver_def,
    definition ).

cnf(c_254,plain,
    inverse(sk_c4) = sP6_iProver_def,
    definition ).

cnf(c_255,plain,
    multiply(sk_c3,sk_c6) = sP7_iProver_def,
    definition ).

cnf(c_256,plain,
    inverse(sk_c3) = sP8_iProver_def,
    definition ).

cnf(c_257,plain,
    multiply(sk_c2,sk_c6) = sP9_iProver_def,
    definition ).

cnf(c_258,plain,
    inverse(sk_c1) = sP10_iProver_def,
    definition ).

cnf(c_259,plain,
    multiply(sk_c1,sk_c7) = sP11_iProver_def,
    definition ).

cnf(c_260,plain,
    multiply(sk_c6,sk_c7) = sP12_iProver_def,
    definition ).

cnf(c_261,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_251]) ).

cnf(c_262,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c6
    | inverse(X0) != sk_c7
    | ~ sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_250]) ).

cnf(c_263,negated_conjecture,
    ( multiply(X0,sk_c5) != sk_c6
    | inverse(X0) != sk_c6
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_249]) ).

cnf(c_264,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c5
    | inverse(X0) != sk_c6
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_248]) ).

cnf(c_265,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | inverse(X0) != sk_c7
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_247]) ).

cnf(c_266,negated_conjecture,
    ( sP4_iProver_def = sk_c6
    | sP5_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_65,c_253,c_252]) ).

cnf(c_267,negated_conjecture,
    ( sP5_iProver_def = sk_c6
    | sP6_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_64,c_254]) ).

cnf(c_268,negated_conjecture,
    ( sP5_iProver_def = sk_c6
    | sP7_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_63,c_255]) ).

cnf(c_269,negated_conjecture,
    ( sP5_iProver_def = sk_c6
    | sP8_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_62,c_256]) ).

cnf(c_270,negated_conjecture,
    ( sP4_iProver_def = sk_c6
    | sP9_iProver_def = sk_c5 ),
    inference(demodulation,[status(thm)],[c_61,c_257]) ).

cnf(c_271,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP9_iProver_def = sk_c5 ),
    inference(demodulation,[status(thm)],[c_60]) ).

cnf(c_272,negated_conjecture,
    ( sP7_iProver_def = sk_c7
    | sP9_iProver_def = sk_c5 ),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_273,negated_conjecture,
    ( sP8_iProver_def = sk_c7
    | sP9_iProver_def = sk_c5 ),
    inference(demodulation,[status(thm)],[c_58]) ).

cnf(c_274,negated_conjecture,
    ( sP4_iProver_def = sk_c6
    | sP10_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_57,c_258]) ).

cnf(c_275,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP10_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_276,negated_conjecture,
    ( sP7_iProver_def = sk_c7
    | sP10_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_277,negated_conjecture,
    ( sP8_iProver_def = sk_c7
    | sP10_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_278,negated_conjecture,
    ( sP4_iProver_def = sk_c6
    | sP11_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_53,c_259]) ).

cnf(c_279,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP11_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_280,negated_conjecture,
    ( sP7_iProver_def = sk_c7
    | sP11_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_281,negated_conjecture,
    ( sP8_iProver_def = sk_c7
    | sP11_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_282,negated_conjecture,
    sP12_iProver_def = sk_c5,
    inference(demodulation,[status(thm)],[c_49,c_260]) ).

cnf(c_284,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_463,plain,
    ( sk_c6 = sP4_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_270,c_282]) ).

cnf(c_480,plain,
    ( sk_c6 = sP6_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_271,c_282]) ).

cnf(c_489,plain,
    ( sP4_iProver_def = sP6_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_480,c_463]) ).

cnf(c_496,plain,
    multiply(sk_c4,sP12_iProver_def) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_252,c_282]) ).

cnf(c_498,plain,
    ( multiply(sk_c3,sP4_iProver_def) = sP7_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_463,c_255]) ).

cnf(c_509,plain,
    ( multiply(sk_c2,sP6_iProver_def) = sP9_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_480,c_257]) ).

cnf(c_510,plain,
    ( multiply(sk_c2,sP4_iProver_def) = sP9_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_463,c_257]) ).

cnf(c_527,plain,
    ( sk_c7 = sP7_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_272,c_282]) ).

cnf(c_539,plain,
    ( sk_c7 = sP8_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_273,c_282]) ).

cnf(c_565,plain,
    ( multiply(sk_c1,sP10_iProver_def) = sP11_iProver_def
    | sk_c6 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_274,c_259]) ).

cnf(c_592,plain,
    ( multiply(sk_c1,sP10_iProver_def) = sP11_iProver_def
    | sk_c6 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_275,c_259]) ).

cnf(c_619,plain,
    ( multiply(sk_c1,sP10_iProver_def) = sP11_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_276,c_259]) ).

cnf(c_656,plain,
    ( sk_c7 = sP8_iProver_def
    | sP8_iProver_def = sP10_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_277,c_539]) ).

cnf(c_658,plain,
    ( multiply(sk_c1,sP10_iProver_def) = sP11_iProver_def
    | sk_c7 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_277,c_259]) ).

cnf(c_688,plain,
    ( sk_c6 = sP4_iProver_def
    | sP5_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_278,c_266]) ).

cnf(c_712,plain,
    ( multiply(sk_c2,sP11_iProver_def) = sP9_iProver_def
    | sk_c6 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_279,c_257]) ).

cnf(c_743,plain,
    ( multiply(sP11_iProver_def,sk_c7) = sP12_iProver_def
    | sk_c6 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_278,c_260]) ).

cnf(c_744,plain,
    ( multiply(sP6_iProver_def,sk_c7) = sP12_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_480,c_260]) ).

cnf(c_745,plain,
    ( multiply(sP4_iProver_def,sk_c7) = sP12_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_463,c_260]) ).

cnf(c_808,plain,
    ( sk_c7 != X0
    | sP8_iProver_def != X0
    | sk_c7 = sP8_iProver_def ),
    inference(instantiation,[status(thm)],[c_284]) ).

cnf(c_810,plain,
    multiply(sP8_iProver_def,sk_c3) = identity,
    inference(superposition,[status(thm)],[c_256,c_68]) ).

cnf(c_811,plain,
    multiply(sP6_iProver_def,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_254,c_68]) ).

cnf(c_812,plain,
    multiply(sP10_iProver_def,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_258,c_68]) ).

cnf(c_813,plain,
    multiply(sP5_iProver_def,sk_c2) = identity,
    inference(superposition,[status(thm)],[c_253,c_68]) ).

cnf(c_835,plain,
    ( multiply(sk_c1,sP7_iProver_def) = sP11_iProver_def
    | sk_c6 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_280,c_259]) ).

cnf(c_888,plain,
    ( multiply(sk_c1,sP8_iProver_def) = sP11_iProver_def
    | sk_c6 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_281,c_259]) ).

cnf(c_916,plain,
    multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sP7_iProver_def,X0),
    inference(superposition,[status(thm)],[c_255,c_69]) ).

cnf(c_917,plain,
    multiply(sk_c2,multiply(sk_c6,X0)) = multiply(sP9_iProver_def,X0),
    inference(superposition,[status(thm)],[c_257,c_69]) ).

cnf(c_919,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_68,c_69]) ).

cnf(c_921,plain,
    multiply(sk_c4,multiply(sP12_iProver_def,X0)) = multiply(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_496,c_69]) ).

cnf(c_946,plain,
    multiply(sP8_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_810,c_69]) ).

cnf(c_947,plain,
    multiply(sP8_iProver_def,multiply(sk_c3,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_946,c_67]) ).

cnf(c_949,plain,
    multiply(sP6_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_811,c_69]) ).

cnf(c_950,plain,
    multiply(sP6_iProver_def,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_949,c_67]) ).

cnf(c_952,plain,
    multiply(sP10_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_812,c_69]) ).

cnf(c_953,plain,
    multiply(sP10_iProver_def,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_952,c_67]) ).

cnf(c_955,plain,
    multiply(sP5_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_813,c_69]) ).

cnf(c_956,plain,
    multiply(sP5_iProver_def,multiply(sk_c2,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_955,c_67]) ).

cnf(c_965,plain,
    ( inverse(sk_c1) != sk_c7
    | sk_c6 != sP11_iProver_def
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_259,c_262]) ).

cnf(c_967,plain,
    ( inverse(inverse(sk_c7)) != sk_c7
    | sk_c6 != identity
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_68,c_262]) ).

cnf(c_982,plain,
    ( sk_c6 != sP11_iProver_def
    | sk_c7 != sP10_iProver_def
    | ~ sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_965,c_258]) ).

cnf(c_1077,plain,
    ( multiply(X0,sP12_iProver_def) != sk_c6
    | inverse(X0) != sk_c6
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_263,c_282]) ).

cnf(c_1090,plain,
    ( inverse(sk_c4) != sk_c6
    | sk_c6 != sP4_iProver_def
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_496,c_1077]) ).

cnf(c_1091,plain,
    ( sk_c6 != sP4_iProver_def
    | sk_c6 != sP6_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1090,c_254]) ).

cnf(c_1147,plain,
    ( multiply(X0,sk_c6) != sP12_iProver_def
    | inverse(X0) != sk_c6
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_264,c_282]) ).

cnf(c_1158,plain,
    ( inverse(sk_c2) != sk_c6
    | sP9_iProver_def != sP12_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_257,c_1147]) ).

cnf(c_1171,plain,
    ( sk_c6 != sP5_iProver_def
    | sP9_iProver_def != sP12_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1158,c_253]) ).

cnf(c_1287,plain,
    ( inverse(sk_c3) != sk_c7
    | sk_c7 != sP7_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_255,c_265]) ).

cnf(c_1289,plain,
    ( inverse(identity) != sk_c7
    | sk_c6 != sk_c7
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_67,c_265]) ).

cnf(c_1305,plain,
    ( sk_c7 != sP7_iProver_def
    | sk_c7 != sP8_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1287,c_256]) ).

cnf(c_1474,plain,
    ( multiply(sP4_iProver_def,sk_c7) = sP12_iProver_def
    | sP5_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_688,c_260]) ).

cnf(c_1692,plain,
    multiply(sP8_iProver_def,sP7_iProver_def) = sk_c6,
    inference(superposition,[status(thm)],[c_255,c_947]) ).

cnf(c_1741,plain,
    multiply(sP8_iProver_def,multiply(sP7_iProver_def,X0)) = multiply(sk_c6,X0),
    inference(superposition,[status(thm)],[c_1692,c_69]) ).

cnf(c_1743,plain,
    multiply(sP6_iProver_def,sP4_iProver_def) = sP12_iProver_def,
    inference(superposition,[status(thm)],[c_496,c_950]) ).

cnf(c_1746,plain,
    multiply(sP6_iProver_def,multiply(sP4_iProver_def,X0)) = multiply(sP12_iProver_def,X0),
    inference(superposition,[status(thm)],[c_1743,c_69]) ).

cnf(c_1754,plain,
    multiply(sP10_iProver_def,sP11_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_259,c_953]) ).

cnf(c_1778,plain,
    multiply(sP10_iProver_def,multiply(sP11_iProver_def,X0)) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_1754,c_69]) ).

cnf(c_1836,plain,
    ( multiply(sk_c1,multiply(sP10_iProver_def,X0)) = multiply(sP11_iProver_def,X0)
    | sk_c6 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_565,c_69]) ).

cnf(c_1897,plain,
    multiply(sP5_iProver_def,sP9_iProver_def) = sk_c6,
    inference(superposition,[status(thm)],[c_257,c_956]) ).

cnf(c_1906,plain,
    multiply(sP5_iProver_def,multiply(sP9_iProver_def,X0)) = multiply(sk_c6,X0),
    inference(superposition,[status(thm)],[c_1897,c_69]) ).

cnf(c_2016,plain,
    ( multiply(sP10_iProver_def,sP11_iProver_def) = sP10_iProver_def
    | sk_c7 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_658,c_953]) ).

cnf(c_2017,plain,
    ( sk_c7 = sP8_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2016,c_1754]) ).

cnf(c_2053,plain,
    ( multiply(sP5_iProver_def,sP9_iProver_def) = sP11_iProver_def
    | sk_c6 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_712,c_956]) ).

cnf(c_2054,plain,
    ( sk_c6 = sP6_iProver_def
    | sk_c6 = sP11_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2053,c_1897]) ).

cnf(c_2169,plain,
    ( multiply(sP11_iProver_def,sP10_iProver_def) = sP12_iProver_def
    | sk_c6 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_274,c_743]) ).

cnf(c_2690,plain,
    ( multiply(sP6_iProver_def,sP8_iProver_def) = sP12_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_539,c_744]) ).

cnf(c_2691,plain,
    ( multiply(sP6_iProver_def,sP7_iProver_def) = sP12_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_527,c_744]) ).

cnf(c_2902,plain,
    ( multiply(sP10_iProver_def,sP11_iProver_def) = sP7_iProver_def
    | sk_c6 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_835,c_953]) ).

cnf(c_2903,plain,
    ( sk_c6 = sP11_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2902,c_1754]) ).

cnf(c_2974,plain,
    ( multiply(sP10_iProver_def,sP11_iProver_def) = sP8_iProver_def
    | sk_c6 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_888,c_953]) ).

cnf(c_2975,plain,
    ( sk_c6 = sP11_iProver_def
    | sk_c7 = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2974,c_1754]) ).

cnf(c_3324,plain,
    multiply(sk_c2,sP12_iProver_def) = multiply(sP9_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_260,c_917]) ).

cnf(c_3384,plain,
    multiply(sP5_iProver_def,multiply(sP9_iProver_def,sk_c7)) = sP12_iProver_def,
    inference(superposition,[status(thm)],[c_3324,c_956]) ).

cnf(c_3699,plain,
    ( multiply(sP6_iProver_def,sP12_iProver_def) = multiply(sP12_iProver_def,sk_c7)
    | sP5_iProver_def = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_1474,c_1746]) ).

cnf(c_4163,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_919,c_67]) ).

cnf(c_4168,plain,
    multiply(inverse(sk_c6),sP12_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_260,c_4163]) ).

cnf(c_4171,plain,
    multiply(inverse(sk_c2),sP9_iProver_def) = sk_c6,
    inference(superposition,[status(thm)],[c_257,c_4163]) ).

cnf(c_4172,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_67,c_4163]) ).

cnf(c_4173,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_68,c_4163]) ).

cnf(c_4182,plain,
    ( multiply(inverse(sk_c2),sP9_iProver_def) = sP6_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_509,c_4163]) ).

cnf(c_4185,plain,
    ( multiply(inverse(sk_c2),sP9_iProver_def) = sP4_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_510,c_4163]) ).

cnf(c_4233,plain,
    multiply(inverse(sP8_iProver_def),X0) = multiply(sk_c3,X0),
    inference(superposition,[status(thm)],[c_947,c_4163]) ).

cnf(c_4234,plain,
    multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c4,X0),
    inference(superposition,[status(thm)],[c_950,c_4163]) ).

cnf(c_4235,plain,
    multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c1,X0),
    inference(superposition,[status(thm)],[c_953,c_4163]) ).

cnf(c_4236,plain,
    multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c2,X0),
    inference(superposition,[status(thm)],[c_956,c_4163]) ).

cnf(c_4258,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_4163,c_4163]) ).

cnf(c_4659,plain,
    ( sk_c7 != sP10_iProver_def
    | sP8_iProver_def != sP10_iProver_def
    | sk_c7 = sP8_iProver_def ),
    inference(instantiation,[status(thm)],[c_808]) ).

cnf(c_4670,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_4173,c_4258]) ).

cnf(c_4678,plain,
    multiply(sk_c4,sP12_iProver_def) = multiply(sP4_iProver_def,identity),
    inference(superposition,[status(thm)],[c_4670,c_921]) ).

cnf(c_4681,plain,
    multiply(sk_c7,identity) = multiply(sP10_iProver_def,sP11_iProver_def),
    inference(superposition,[status(thm)],[c_4670,c_1778]) ).

cnf(c_4682,plain,
    multiply(sk_c6,identity) = multiply(sP8_iProver_def,sP7_iProver_def),
    inference(superposition,[status(thm)],[c_4670,c_1741]) ).

cnf(c_4683,plain,
    multiply(sk_c2,sk_c6) = multiply(sP9_iProver_def,identity),
    inference(superposition,[status(thm)],[c_4670,c_917]) ).

cnf(c_4684,plain,
    multiply(sk_c3,sk_c6) = multiply(sP7_iProver_def,identity),
    inference(superposition,[status(thm)],[c_4670,c_916]) ).

cnf(c_4685,plain,
    multiply(sk_c6,identity) = multiply(sP5_iProver_def,sP9_iProver_def),
    inference(superposition,[status(thm)],[c_4670,c_1906]) ).

cnf(c_4686,plain,
    multiply(sP6_iProver_def,sP4_iProver_def) = multiply(sP12_iProver_def,identity),
    inference(superposition,[status(thm)],[c_4670,c_1746]) ).

cnf(c_4691,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_4670,c_4172]) ).

cnf(c_4692,plain,
    multiply(sP12_iProver_def,identity) = sP12_iProver_def,
    inference(light_normalisation,[status(thm)],[c_4686,c_1743]) ).

cnf(c_4693,plain,
    multiply(sk_c6,identity) = sk_c6,
    inference(light_normalisation,[status(thm)],[c_4685,c_1897]) ).

cnf(c_4694,plain,
    multiply(sP7_iProver_def,identity) = sP7_iProver_def,
    inference(light_normalisation,[status(thm)],[c_4684,c_255]) ).

cnf(c_4695,plain,
    multiply(sP9_iProver_def,identity) = sP9_iProver_def,
    inference(light_normalisation,[status(thm)],[c_4683,c_257]) ).

cnf(c_4697,plain,
    multiply(sk_c7,identity) = sk_c7,
    inference(light_normalisation,[status(thm)],[c_4681,c_1754]) ).

cnf(c_4700,plain,
    multiply(sP4_iProver_def,identity) = sP4_iProver_def,
    inference(light_normalisation,[status(thm)],[c_4678,c_496]) ).

cnf(c_4874,plain,
    ( sk_c6 != sk_c7
    | sk_c7 != identity
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1289,c_4691]) ).

cnf(c_4969,plain,
    ( sk_c6 != sP11_iProver_def
    | ~ sP3_iProver_def
    | sk_c7 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_277,c_982]) ).

cnf(c_4970,plain,
    ( sk_c6 != sP11_iProver_def
    | ~ sP3_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_276,c_982]) ).

cnf(c_4971,plain,
    ( sk_c6 != sP11_iProver_def
    | ~ sP3_iProver_def
    | sk_c6 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_275,c_982]) ).

cnf(c_5056,plain,
    ( ~ sP3_iProver_def
    | sk_c7 = sP8_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_4969,c_2975,c_4969]) ).

cnf(c_5075,plain,
    ( ~ sP3_iProver_def
    | sk_c7 = sP7_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_4970,c_2903,c_4970]) ).

cnf(c_5081,plain,
    ( sk_c7 = sP7_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_261,c_5075]) ).

cnf(c_5094,plain,
    ( ~ sP3_iProver_def
    | sk_c6 = sP6_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_4971,c_2054,c_4971]) ).

cnf(c_5100,plain,
    ( sk_c6 = sP6_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_261,c_5094]) ).

cnf(c_5275,plain,
    ( sk_c6 != sP6_iProver_def
    | ~ sP2_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_463,c_1091]) ).

cnf(c_5277,plain,
    ( sk_c6 != sP6_iProver_def
    | sP4_iProver_def != sP5_iProver_def
    | ~ sP2_iProver_def
    | sk_c6 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_266,c_1091]) ).

cnf(c_5340,plain,
    ( ~ sP2_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5275,c_480]) ).

cnf(c_5730,plain,
    ( sk_c7 != sP8_iProver_def
    | ~ sP0_iProver_def
    | sk_c6 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_280,c_1305]) ).

cnf(c_5736,plain,
    ( sk_c7 != sP8_iProver_def
    | ~ sP0_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_527,c_1305]) ).

cnf(c_5798,plain,
    ( ~ sP0_iProver_def
    | sk_c6 = sP11_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_5730,c_2975,c_5730]) ).

cnf(c_5862,plain,
    ( multiply(sk_c3,sk_c7) != sk_c6
    | inverse(inverse(sP8_iProver_def)) != sk_c7
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_4233,c_262]) ).

cnf(c_5863,plain,
    multiply(sk_c3,sP8_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_4233,c_68]) ).

cnf(c_5870,plain,
    multiply(sk_c3,identity) = inverse(sP8_iProver_def),
    inference(superposition,[status(thm)],[c_4233,c_4670]) ).

cnf(c_5945,plain,
    inverse(sP8_iProver_def) = sk_c3,
    inference(demodulation,[status(thm)],[c_5870,c_4670]) ).

cnf(c_6081,plain,
    ( ~ sP0_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_5736,c_656,c_2017,c_4659,c_5736]) ).

cnf(c_6099,plain,
    ( multiply(sk_c4,sk_c7) != sk_c6
    | inverse(inverse(sP6_iProver_def)) != sk_c7
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_4234,c_262]) ).

cnf(c_6100,plain,
    multiply(sk_c4,sP6_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_4234,c_68]) ).

cnf(c_6103,plain,
    ( multiply(sk_c4,sk_c6) != sk_c7
    | inverse(inverse(sP6_iProver_def)) != sk_c7
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_4234,c_265]) ).

cnf(c_6104,plain,
    ( multiply(sk_c4,sk_c6) != sP12_iProver_def
    | inverse(inverse(sP6_iProver_def)) != sk_c6
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_4234,c_1147]) ).

cnf(c_6105,plain,
    multiply(sk_c4,multiply(sP6_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_4234,c_4163]) ).

cnf(c_6107,plain,
    multiply(sk_c4,identity) = inverse(sP6_iProver_def),
    inference(superposition,[status(thm)],[c_4234,c_4670]) ).

cnf(c_6126,plain,
    multiply(sP6_iProver_def,identity) = sP6_iProver_def,
    inference(superposition,[status(thm)],[c_6100,c_950]) ).

cnf(c_6129,plain,
    inverse(sP6_iProver_def) = sk_c4,
    inference(demodulation,[status(thm)],[c_6107,c_4670]) ).

cnf(c_6437,plain,
    ( multiply(sk_c4,sP12_iProver_def) = sk_c7
    | sP9_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_744,c_6105]) ).

cnf(c_6439,plain,
    multiply(sk_c4,identity) = sk_c4,
    inference(superposition,[status(thm)],[c_811,c_6105]) ).

cnf(c_6442,plain,
    ( multiply(sk_c4,sP12_iProver_def) = sP7_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_2691,c_6105]) ).

cnf(c_6444,plain,
    ( multiply(sk_c4,sP12_iProver_def) = sP8_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_2690,c_6105]) ).

cnf(c_6453,plain,
    ( sP4_iProver_def = sP8_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6444,c_496]) ).

cnf(c_6459,plain,
    ( sP4_iProver_def = sP7_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6442,c_496]) ).

cnf(c_6465,plain,
    ( sk_c7 = sP4_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6437,c_496]) ).

cnf(c_8000,plain,
    ( multiply(sP4_iProver_def,sP4_iProver_def) = sP12_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_6465,c_745]) ).

cnf(c_8022,plain,
    ( multiply(sk_c1,sP4_iProver_def) = sP11_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_6465,c_259]) ).

cnf(c_8132,plain,
    multiply(sk_c1,sP10_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_4235,c_68]) ).

cnf(c_8137,plain,
    multiply(sk_c1,multiply(sP10_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_4235,c_4163]) ).

cnf(c_8138,plain,
    ( multiply(sk_c1,sP12_iProver_def) != sk_c6
    | inverse(inverse(sP10_iProver_def)) != sk_c6
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_4235,c_1077]) ).

cnf(c_8139,plain,
    multiply(sk_c1,identity) = inverse(sP10_iProver_def),
    inference(superposition,[status(thm)],[c_4235,c_4670]) ).

cnf(c_8154,plain,
    ( sk_c7 = sP7_iProver_def
    | identity = sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_619,c_8132]) ).

cnf(c_8155,plain,
    ( sk_c6 = sP6_iProver_def
    | identity = sP11_iProver_def ),
    inference(demodulation,[status(thm)],[c_592,c_8132]) ).

cnf(c_8497,plain,
    ( sk_c7 != sP8_iProver_def
    | ~ sP0_iProver_def
    | identity = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_8154,c_1305]) ).

cnf(c_8900,plain,
    inverse(sP10_iProver_def) = sk_c1,
    inference(demodulation,[status(thm)],[c_8139,c_4670]) ).

cnf(c_9542,plain,
    ( ~ sP2_iProver_def
    | sP4_iProver_def != sP5_iProver_def
    | sk_c6 != sP6_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_5277,c_1091,c_5277]) ).

cnf(c_9543,plain,
    ( sk_c6 != sP6_iProver_def
    | sP4_iProver_def != sP5_iProver_def
    | ~ sP2_iProver_def ),
    inference(renaming,[status(thm)],[c_9542]) ).

cnf(c_10455,plain,
    ( multiply(sP10_iProver_def,sP11_iProver_def) = sP4_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_8022,c_953]) ).

cnf(c_10462,plain,
    multiply(sk_c2,sP5_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_4236,c_68]) ).

cnf(c_10467,plain,
    multiply(sk_c2,multiply(sP5_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_4236,c_4163]) ).

cnf(c_10469,plain,
    multiply(sk_c2,identity) = inverse(sP5_iProver_def),
    inference(superposition,[status(thm)],[c_4236,c_4670]) ).

cnf(c_10524,plain,
    inverse(sP5_iProver_def) = sk_c2,
    inference(demodulation,[status(thm)],[c_10469,c_4670]) ).

cnf(c_10532,plain,
    multiply(sk_c2,identity) = sk_c2,
    inference(superposition,[status(thm)],[c_813,c_10467]) ).

cnf(c_12337,plain,
    ( multiply(sk_c3,sk_c7) != sk_c6
    | sk_c7 != sP8_iProver_def
    | ~ sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5862,c_256,c_5945]) ).

cnf(c_12341,plain,
    ( multiply(sk_c3,sk_c7) != sk_c6
    | ~ sP3_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12337,c_5056]) ).

cnf(c_12936,plain,
    ( multiply(sk_c4,sk_c7) != sk_c6
    | sk_c7 != sP6_iProver_def
    | ~ sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_6099,c_254,c_6129]) ).

cnf(c_12966,plain,
    ( multiply(sk_c4,sP7_iProver_def) != sk_c6
    | sk_c7 != sP6_iProver_def
    | ~ sP3_iProver_def
    | sP9_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_527,c_12936]) ).

cnf(c_13065,plain,
    ( multiply(sP11_iProver_def,X0) = X0
    | sk_c6 = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1836,c_8137]) ).

cnf(c_13089,plain,
    ( sk_c6 = sP4_iProver_def
    | sk_c7 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_13065,c_743]) ).

cnf(c_13093,plain,
    ( sk_c6 = sP4_iProver_def
    | sP10_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_13065,c_2169]) ).

cnf(c_13484,plain,
    ( sk_c6 != sP12_iProver_def
    | sk_c7 != identity
    | ~ sP0_iProver_def
    | sk_c6 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_13089,c_4874]) ).

cnf(c_13508,plain,
    ( multiply(sk_c6,sP12_iProver_def) = sP12_iProver_def
    | sk_c6 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_13089,c_260]) ).

cnf(c_13515,plain,
    ( multiply(sk_c1,sP12_iProver_def) = sP11_iProver_def
    | sk_c6 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_13089,c_259]) ).

cnf(c_14321,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_13515,c_13508,c_13484,c_13093,c_13089,c_12966,c_12341,c_10532,c_10524,c_10462,c_10455,c_9543,c_8900,c_8497,c_8155,c_8138,c_8132,c_8000,c_6459,c_6453,c_6439,c_6129,c_6126,c_6104,c_6103,c_6100,c_6081,c_5945,c_5863,c_5798,c_5340,c_5100,c_5081,c_4700,c_4697,c_4695,c_4694,c_4693,c_4692,c_4686,c_4685,c_4684,c_4683,c_4682,c_4681,c_4678,c_4691,c_4185,c_4182,c_4171,c_4168,c_3699,c_3384,c_3324,c_2054,c_1305,c_1171,c_1091,c_967,c_658,c_498,c_489,c_480,c_269,c_268,c_267,c_266,c_258,c_256,c_254,c_253,c_261]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem  : GRP315-1 : TPTP v8.2.0. Released v2.5.0.
% 0.09/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Jun 20 08:13:54 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.22/0.50  Running first-order theorem proving
% 0.22/0.50  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
% 4.25/1.19  % SZS status Started for theBenchmark.p
% 4.25/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 4.25/1.19  
% 4.25/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.25/1.19  
% 4.25/1.19  ------  iProver source info
% 4.25/1.19  
% 4.25/1.19  git: date: 2024-06-12 09:56:46 +0000
% 4.25/1.19  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 4.25/1.19  git: non_committed_changes: false
% 4.25/1.19  
% 4.25/1.19  ------ Parsing...successful
% 4.25/1.19  
% 4.25/1.19  
% 4.25/1.19  
% 4.25/1.19  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 4.25/1.19  
% 4.25/1.19  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.25/1.19  
% 4.25/1.19  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 4.25/1.19  ------ Proving...
% 4.25/1.19  ------ Problem Properties 
% 4.25/1.19  
% 4.25/1.19  
% 4.25/1.19  clauses                                 34
% 4.25/1.19  conjectures                             22
% 4.25/1.19  EPR                                     18
% 4.25/1.19  Horn                                    17
% 4.25/1.19  unary                                   13
% 4.25/1.19  binary                                  16
% 4.25/1.19  lits                                    61
% 4.25/1.19  lits eq                                 53
% 4.25/1.19  fd_pure                                 0
% 4.25/1.19  fd_pseudo                               0
% 4.25/1.19  fd_cond                                 0
% 4.25/1.19  fd_pseudo_cond                          0
% 4.25/1.19  AC symbols                              0
% 4.25/1.19  
% 4.25/1.19  ------ Schedule dynamic 5 is on 
% 4.25/1.19  
% 4.25/1.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.25/1.19  
% 4.25/1.19  
% 4.25/1.19  ------ 
% 4.25/1.19  Current options:
% 4.25/1.19  ------ 
% 4.25/1.19  
% 4.25/1.19  
% 4.25/1.19  
% 4.25/1.19  
% 4.25/1.19  ------ Proving...
% 4.25/1.19  
% 4.25/1.19  
% 4.25/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 4.25/1.19  
% 4.25/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.25/1.19  
% 4.25/1.20  
%------------------------------------------------------------------------------