TSTP Solution File: GRP216-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP216-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:21:46 EDT 2024

% Result   : Unsatisfiable 7.66s 1.64s
% Output   : CNFRefutation 7.66s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

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

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

cnf(c_57,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

cnf(c_61,negated_conjecture,
    ( multiply(sk_c2,sk_c6) = sk_c7
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

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

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

cnf(c_64,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | multiply(sk_c2,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

cnf(c_65,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c5
    | multiply(sk_c2,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_66,negated_conjecture,
    ( multiply(sk_c2,sk_c6) = sk_c7
    | inverse(sk_c4) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

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

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

cnf(c_69,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

cnf(c_70,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

cnf(c_71,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c5
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

cnf(c_72,negated_conjecture,
    ( inverse(sk_c4) = sk_c7
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

cnf(c_73,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c6
    | multiply(X1,sk_c6) != sk_c7
    | multiply(X2,sk_c6) != sk_c7
    | multiply(X3,sk_c7) != X4
    | multiply(sk_c7,X4) != sk_c6
    | inverse(X0) != sk_c7
    | inverse(X1) != sk_c6
    | inverse(X2) != sk_c7
    | inverse(X3) != sk_c7
    | inverse(sk_c7) != sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

cnf(c_74,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_75,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_76,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_77,negated_conjecture,
    ( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
    | multiply(X1,sk_c7) != sk_c6
    | multiply(X2,sk_c6) != sk_c7
    | multiply(X3,sk_c6) != sk_c7
    | inverse(X0) != sk_c7
    | inverse(X1) != sk_c7
    | inverse(X2) != sk_c6
    | inverse(X3) != sk_c7
    | inverse(sk_c7) != sk_c6 ),
    inference(unflattening,[status(thm)],[c_73]) ).

cnf(c_318,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | inverse(X0) != sk_c6
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_77]) ).

cnf(c_319,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c6
    | inverse(X0) != sk_c7
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_77]) ).

cnf(c_320,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | inverse(X0) != sk_c7
    | ~ sP2_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_def])],[c_77]) ).

cnf(c_321,negated_conjecture,
    ( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
    | inverse(X0) != sk_c7
    | ~ sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_def])],[c_77]) ).

cnf(c_322,negated_conjecture,
    ( inverse(sk_c7) != sk_c6
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_77]) ).

cnf(c_323,plain,
    inverse(sk_c7) = sP4_iProver_def,
    definition ).

cnf(c_324,plain,
    inverse(sk_c4) = sP5_iProver_def,
    definition ).

cnf(c_325,plain,
    inverse(sk_c2) = sP6_iProver_def,
    definition ).

cnf(c_326,plain,
    multiply(sk_c4,sk_c7) = sP7_iProver_def,
    definition ).

cnf(c_327,plain,
    multiply(sk_c7,sk_c5) = sP8_iProver_def,
    definition ).

cnf(c_328,plain,
    multiply(sk_c3,sk_c6) = sP9_iProver_def,
    definition ).

cnf(c_329,plain,
    inverse(sk_c3) = sP10_iProver_def,
    definition ).

cnf(c_330,plain,
    multiply(sk_c2,sk_c6) = sP11_iProver_def,
    definition ).

cnf(c_331,plain,
    inverse(sk_c1) = sP12_iProver_def,
    definition ).

cnf(c_332,plain,
    multiply(sk_c1,sk_c7) = sP13_iProver_def,
    definition ).

cnf(c_333,negated_conjecture,
    ( sP4_iProver_def != sk_c6
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_322,c_323]) ).

cnf(c_334,negated_conjecture,
    ( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
    | inverse(X0) != sk_c7
    | ~ sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_321]) ).

cnf(c_335,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | inverse(X0) != sk_c7
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_320]) ).

cnf(c_336,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c6
    | inverse(X0) != sk_c7
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_319]) ).

cnf(c_337,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | inverse(X0) != sk_c6
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_318]) ).

cnf(c_338,negated_conjecture,
    ( sP5_iProver_def = sk_c7
    | sP6_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_72,c_325,c_324]) ).

cnf(c_339,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP7_iProver_def = sk_c5 ),
    inference(demodulation,[status(thm)],[c_71,c_326]) ).

cnf(c_340,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP8_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_70,c_327]) ).

cnf(c_341,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP9_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_69,c_328]) ).

cnf(c_342,negated_conjecture,
    ( sP6_iProver_def = sk_c6
    | sP10_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_68,c_329]) ).

cnf(c_343,negated_conjecture,
    ( sP4_iProver_def = sk_c6
    | sP6_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_67]) ).

cnf(c_344,negated_conjecture,
    ( sP5_iProver_def = sk_c7
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_66,c_330]) ).

cnf(c_345,negated_conjecture,
    ( sP7_iProver_def = sk_c5
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_65]) ).

cnf(c_346,negated_conjecture,
    ( sP8_iProver_def = sk_c6
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_64]) ).

cnf(c_347,negated_conjecture,
    ( sP9_iProver_def = sk_c7
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_63]) ).

cnf(c_348,negated_conjecture,
    ( sP10_iProver_def = sk_c7
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_62]) ).

cnf(c_349,negated_conjecture,
    ( sP4_iProver_def = sk_c6
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_61]) ).

cnf(c_353,negated_conjecture,
    ( sP9_iProver_def = sk_c7
    | sP12_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_57]) ).

cnf(c_354,negated_conjecture,
    ( sP10_iProver_def = sk_c7
    | sP12_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_355,negated_conjecture,
    ( sP4_iProver_def = sk_c6
    | sP12_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_361,negated_conjecture,
    ( sP4_iProver_def = sk_c6
    | sP13_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_362,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_363,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_659,plain,
    ( multiply(sk_c4,sP11_iProver_def) = sP7_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_347,c_326]) ).

cnf(c_690,plain,
    ( sk_c7 = sP11_iProver_def
    | sP4_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_349,c_346]) ).

cnf(c_691,plain,
    ( multiply(sk_c3,sP4_iProver_def) = sP9_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_349,c_328]) ).

cnf(c_743,plain,
    ( multiply(X0,sk_c6) != X1
    | sk_c7 != X1
    | multiply(X0,sk_c6) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_363]) ).

cnf(c_800,plain,
    ( multiply(sk_c3,sk_c6) != sP9_iProver_def
    | sk_c7 != sP9_iProver_def
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_743]) ).

cnf(c_810,plain,
    ( sk_c7 = sP9_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_353,c_347]) ).

cnf(c_853,plain,
    ( multiply(sk_c1,sP11_iProver_def) = sP13_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_347,c_332]) ).

cnf(c_854,plain,
    ( multiply(sk_c1,sP11_iProver_def) = sP13_iProver_def
    | sk_c7 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_344,c_332]) ).

cnf(c_871,plain,
    ( multiply(sk_c3,sk_c6) != sk_c7
    | inverse(sk_c3) != sk_c6
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_337]) ).

cnf(c_873,plain,
    multiply(sP4_iProver_def,sk_c7) = identity,
    inference(superposition,[status(thm)],[c_323,c_75]) ).

cnf(c_874,plain,
    multiply(sP10_iProver_def,sk_c3) = identity,
    inference(superposition,[status(thm)],[c_329,c_75]) ).

cnf(c_875,plain,
    multiply(sP5_iProver_def,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_324,c_75]) ).

cnf(c_876,plain,
    multiply(sP12_iProver_def,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_331,c_75]) ).

cnf(c_877,plain,
    multiply(sP6_iProver_def,sk_c2) = identity,
    inference(superposition,[status(thm)],[c_325,c_75]) ).

cnf(c_880,plain,
    ( multiply(sk_c2,sk_c6) != sk_c7
    | inverse(sk_c2) != sk_c6
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_337]) ).

cnf(c_911,plain,
    ( sk_c7 = sP10_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_354,c_348]) ).

cnf(c_968,plain,
    ( sk_c7 != X0
    | sk_c6 != X0
    | sk_c7 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_363]) ).

cnf(c_993,plain,
    sk_c6 = sk_c6,
    inference(instantiation,[status(thm)],[c_362]) ).

cnf(c_994,plain,
    ( X0 != X1
    | sk_c6 != X1
    | sk_c6 = X0 ),
    inference(instantiation,[status(thm)],[c_363]) ).

cnf(c_1054,plain,
    ( inverse(sk_c3) != X0
    | sk_c6 != X0
    | inverse(sk_c3) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_363]) ).

cnf(c_1055,plain,
    ( inverse(sk_c3) != sk_c7
    | sk_c6 != sk_c7
    | inverse(sk_c3) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1054]) ).

cnf(c_1483,plain,
    ( X0 != sk_c6
    | sk_c6 != sk_c6
    | sk_c6 = X0 ),
    inference(instantiation,[status(thm)],[c_994]) ).

cnf(c_1484,plain,
    ( sk_c7 != sk_c6
    | sk_c6 != sk_c6
    | sk_c6 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_1483]) ).

cnf(c_1494,plain,
    ( inverse(sk_c3) != sk_c7
    | sk_c7 != sP9_iProver_def
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_328,c_335]) ).

cnf(c_1496,plain,
    ( inverse(identity) != sk_c7
    | sk_c7 != sk_c6
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_74,c_335]) ).

cnf(c_1519,plain,
    ( sk_c7 != sP9_iProver_def
    | sk_c7 != sP10_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1494,c_329]) ).

cnf(c_1729,plain,
    multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sP13_iProver_def,X0),
    inference(superposition,[status(thm)],[c_332,c_76]) ).

cnf(c_1735,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_75,c_76]) ).

cnf(c_1737,plain,
    multiply(sP4_iProver_def,multiply(sk_c7,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_873,c_76]) ).

cnf(c_1738,plain,
    multiply(sP10_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_874,c_76]) ).

cnf(c_1739,plain,
    multiply(sP5_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_875,c_76]) ).

cnf(c_1740,plain,
    multiply(sP12_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_876,c_76]) ).

cnf(c_1743,plain,
    multiply(sP12_iProver_def,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1740,c_74]) ).

cnf(c_1744,plain,
    multiply(sP5_iProver_def,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1739,c_74]) ).

cnf(c_1745,plain,
    multiply(sP10_iProver_def,multiply(sk_c3,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1738,c_74]) ).

cnf(c_1746,plain,
    multiply(sP4_iProver_def,multiply(sk_c7,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1737,c_74]) ).

cnf(c_1826,plain,
    multiply(sP6_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_877,c_76]) ).

cnf(c_1827,plain,
    multiply(sP6_iProver_def,multiply(sk_c2,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1826,c_74]) ).

cnf(c_1838,plain,
    ( multiply(sk_c1,sP11_iProver_def) = sP13_iProver_def
    | sP4_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_690,c_332]) ).

cnf(c_2149,plain,
    ( sP9_iProver_def = sP10_iProver_def
    | sP11_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_911,c_810]) ).

cnf(c_2476,plain,
    ( inverse(identity) != sk_c7
    | sk_c7 != sk_c6
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_74,c_336]) ).

cnf(c_2608,plain,
    ( inverse(sk_c2) != sk_c6
    | sk_c7 != sP11_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_330,c_337]) ).

cnf(c_2609,plain,
    ( inverse(identity) != sk_c6
    | sk_c7 != sk_c6
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_74,c_337]) ).

cnf(c_2610,plain,
    ( inverse(inverse(sk_c6)) != sk_c6
    | sk_c7 != identity
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_75,c_337]) ).

cnf(c_2630,plain,
    ( sk_c7 != sP11_iProver_def
    | sk_c6 != sP6_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2608,c_325]) ).

cnf(c_3405,plain,
    multiply(sP12_iProver_def,sP13_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_332,c_1743]) ).

cnf(c_3415,plain,
    multiply(sP5_iProver_def,sP7_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_326,c_1744]) ).

cnf(c_3428,plain,
    multiply(sP10_iProver_def,sP9_iProver_def) = sk_c6,
    inference(superposition,[status(thm)],[c_328,c_1745]) ).

cnf(c_3448,plain,
    multiply(sP4_iProver_def,sP8_iProver_def) = sk_c5,
    inference(superposition,[status(thm)],[c_327,c_1746]) ).

cnf(c_3800,plain,
    ( sk_c7 != sP4_iProver_def
    | sk_c6 != sP4_iProver_def
    | sk_c7 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_968]) ).

cnf(c_4185,plain,
    ( multiply(sP5_iProver_def,sP7_iProver_def) = sP11_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_659,c_1744]) ).

cnf(c_4186,plain,
    ( sk_c7 = sP9_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_4185,c_3415]) ).

cnf(c_4227,plain,
    ( multiply(sP10_iProver_def,sP9_iProver_def) = sP4_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_691,c_1745]) ).

cnf(c_4228,plain,
    ( sk_c7 = sP11_iProver_def
    | sk_c6 = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_4227,c_3428]) ).

cnf(c_6746,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_1735,c_74]) ).

cnf(c_6771,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_74,c_6746]) ).

cnf(c_6772,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_75,c_6746]) ).

cnf(c_6825,plain,
    multiply(inverse(sP12_iProver_def),identity) = sk_c1,
    inference(superposition,[status(thm)],[c_876,c_6746]) ).

cnf(c_6851,plain,
    multiply(inverse(sP4_iProver_def),X0) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_1746,c_6746]) ).

cnf(c_6852,plain,
    multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c3,X0),
    inference(superposition,[status(thm)],[c_1745,c_6746]) ).

cnf(c_6853,plain,
    multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c4,X0),
    inference(superposition,[status(thm)],[c_1744,c_6746]) ).

cnf(c_6854,plain,
    multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c1,X0),
    inference(superposition,[status(thm)],[c_1743,c_6746]) ).

cnf(c_6855,plain,
    multiply(inverse(sP6_iProver_def),X0) = multiply(sk_c2,X0),
    inference(superposition,[status(thm)],[c_1827,c_6746]) ).

cnf(c_6893,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_6746,c_6746]) ).

cnf(c_7366,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_6772,c_6893]) ).

cnf(c_7389,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_7366,c_6771]) ).

cnf(c_7897,plain,
    multiply(sk_c7,sP4_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_6851,c_75]) ).

cnf(c_7902,plain,
    multiply(sk_c7,multiply(sP4_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_6851,c_6746]) ).

cnf(c_7903,plain,
    multiply(sk_c7,identity) = inverse(sP4_iProver_def),
    inference(superposition,[status(thm)],[c_6851,c_7366]) ).

cnf(c_7978,plain,
    ( multiply(sP12_iProver_def,sP4_iProver_def) = identity
    | sk_c7 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_354,c_7897]) ).

cnf(c_7979,plain,
    ( multiply(sP12_iProver_def,sP4_iProver_def) = identity
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_353,c_7897]) ).

cnf(c_7987,plain,
    multiply(sk_c1,identity) = multiply(sP13_iProver_def,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_7897,c_1729]) ).

cnf(c_8083,plain,
    inverse(sP4_iProver_def) = sk_c7,
    inference(demodulation,[status(thm)],[c_7903,c_7366]) ).

cnf(c_8127,plain,
    ( inverse(sP4_iProver_def) != sk_c7
    | sk_c7 != sk_c6
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_7902,c_334]) ).

cnf(c_8173,plain,
    ( sk_c7 != sk_c6
    | ~ sP3_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8127,c_8083]) ).

cnf(c_8328,plain,
    ( multiply(inverse(sP12_iProver_def),identity) = sP4_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_7978,c_6746]) ).

cnf(c_8330,plain,
    ( sk_c1 = sP4_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_8328,c_6825]) ).

cnf(c_8352,plain,
    ( multiply(inverse(sP12_iProver_def),identity) = sP4_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_7979,c_6746]) ).

cnf(c_8354,plain,
    ( sk_c1 = sP4_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_8352,c_6825]) ).

cnf(c_8604,plain,
    ( sk_c7 != sP11_iProver_def
    | ~ sP0_iProver_def
    | sk_c6 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_343,c_2630]) ).

cnf(c_8606,plain,
    ( sk_c7 != sP11_iProver_def
    | ~ sP0_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_341,c_2630]) ).

cnf(c_8657,plain,
    ( ~ sP0_iProver_def
    | sk_c6 = sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_8604,c_4228,c_8604]) ).

cnf(c_8893,plain,
    multiply(sP13_iProver_def,sP4_iProver_def) = sk_c1,
    inference(demodulation,[status(thm)],[c_7987,c_7366]) ).

cnf(c_8897,plain,
    multiply(inverse(sP13_iProver_def),sk_c1) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_8893,c_6746]) ).

cnf(c_8934,plain,
    ( ~ sP0_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_8606,c_4186,c_8606]) ).

cnf(c_9735,plain,
    ( multiply(sP4_iProver_def,sk_c7) = sP13_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_8330,c_332]) ).

cnf(c_9738,plain,
    ( sk_c7 = sP10_iProver_def
    | identity = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_9735,c_873]) ).

cnf(c_9842,plain,
    ( multiply(sP4_iProver_def,sk_c7) = sP13_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_8354,c_332]) ).

cnf(c_9845,plain,
    ( sk_c7 = sP9_iProver_def
    | identity = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_9842,c_873]) ).

cnf(c_10592,plain,
    ( identity = sP13_iProver_def
    | sP9_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_9845,c_9738]) ).

cnf(c_11098,plain,
    ( multiply(sP13_iProver_def,X0) = X0
    | sP9_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_10592,c_74]) ).

cnf(c_11309,plain,
    ( multiply(sk_c7,multiply(sk_c3,sk_c7)) != sk_c6
    | inverse(inverse(sP10_iProver_def)) != sk_c7
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_6852,c_334]) ).

cnf(c_11310,plain,
    ( multiply(sk_c3,sk_c7) != sk_c6
    | inverse(inverse(sP10_iProver_def)) != sk_c7
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_6852,c_336]) ).

cnf(c_11311,plain,
    multiply(sk_c3,sP10_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_6852,c_75]) ).

cnf(c_11317,plain,
    multiply(sk_c3,identity) = inverse(sP10_iProver_def),
    inference(superposition,[status(thm)],[c_6852,c_7366]) ).

cnf(c_11382,plain,
    inverse(sP10_iProver_def) = sk_c3,
    inference(demodulation,[status(thm)],[c_11317,c_7366]) ).

cnf(c_12452,plain,
    ( sk_c1 = sP4_iProver_def
    | sP9_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_11098,c_8893]) ).

cnf(c_12565,plain,
    ( inverse(sP4_iProver_def) = sP12_iProver_def
    | sP9_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_12452,c_331]) ).

cnf(c_12566,plain,
    ( sk_c7 = sP12_iProver_def
    | sP9_iProver_def = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_12565,c_8083]) ).

cnf(c_12700,plain,
    ( multiply(sk_c1,sP12_iProver_def) = sP13_iProver_def
    | sP9_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_12566,c_332]) ).

cnf(c_12922,plain,
    multiply(sk_c4,sP5_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_6853,c_75]) ).

cnf(c_14572,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != identity
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1496,c_7389]) ).

cnf(c_14658,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != identity
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2476,c_7389]) ).

cnf(c_14918,plain,
    ( multiply(sk_c1,sP11_iProver_def) = sP13_iProver_def
    | sP9_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_2149,c_12700]) ).

cnf(c_15703,plain,
    multiply(sk_c1,sP12_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_6854,c_75]) ).

cnf(c_15709,plain,
    multiply(sk_c1,identity) = inverse(sP12_iProver_def),
    inference(superposition,[status(thm)],[c_6854,c_7366]) ).

cnf(c_15831,plain,
    ( sk_c7 != sk_c6
    | ~ sP0_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_2609,c_68,c_62,c_328,c_800,c_871,c_880,c_993,c_1055,c_1484,c_8934]) ).

cnf(c_15858,plain,
    ( sk_c7 != sP4_iProver_def
    | ~ sP0_iProver_def
    | sk_c7 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_355,c_15831]) ).

cnf(c_15987,plain,
    ( ~ sP0_iProver_def
    | sk_c7 != sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_15858,c_3800,c_8657,c_15831]) ).

cnf(c_15988,plain,
    ( sk_c7 != sP4_iProver_def
    | ~ sP0_iProver_def ),
    inference(renaming,[status(thm)],[c_15987]) ).

cnf(c_16405,plain,
    inverse(sP12_iProver_def) = sk_c1,
    inference(demodulation,[status(thm)],[c_15709,c_7366]) ).

cnf(c_17300,plain,
    multiply(sk_c2,sP6_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_6855,c_75]) ).

cnf(c_17306,plain,
    multiply(sk_c2,identity) = inverse(sP6_iProver_def),
    inference(superposition,[status(thm)],[c_6855,c_7366]) ).

cnf(c_17399,plain,
    inverse(sP6_iProver_def) = sk_c2,
    inference(demodulation,[status(thm)],[c_17306,c_7366]) ).

cnf(c_19950,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_17399,c_17300,c_16405,c_15988,c_15709,c_15703,c_14918,c_14658,c_14572,c_12922,c_11382,c_11310,c_11309,c_11311,c_8897,c_8173,c_8083,c_7903,c_7389,c_3448,c_3415,c_3405,c_2610,c_1838,c_1519,c_876,c_854,c_853,c_361,c_355,c_349,c_345,c_343,c_342,c_341,c_340,c_339,c_338,c_333,c_332,c_331,c_330,c_329,c_328,c_327,c_326,c_325,c_323]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GRP216-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n020.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 23:42:16 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  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
% 7.66/1.64  % SZS status Started for theBenchmark.p
% 7.66/1.64  % SZS status Unsatisfiable for theBenchmark.p
% 7.66/1.64  
% 7.66/1.64  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.66/1.64  
% 7.66/1.64  ------  iProver source info
% 7.66/1.64  
% 7.66/1.64  git: date: 2024-05-02 19:28:25 +0000
% 7.66/1.64  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.66/1.64  git: non_committed_changes: false
% 7.66/1.64  
% 7.66/1.64  ------ Parsing...successful
% 7.66/1.64  
% 7.66/1.64  
% 7.66/1.64  
% 7.66/1.64  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.66/1.64  
% 7.66/1.64  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.66/1.64  
% 7.66/1.64  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 7.66/1.64  ------ Proving...
% 7.66/1.64  ------ Problem Properties 
% 7.66/1.64  
% 7.66/1.64  
% 7.66/1.64  clauses                                 42
% 7.66/1.64  conjectures                             29
% 7.66/1.64  EPR                                     25
% 7.66/1.64  Horn                                    17
% 7.66/1.64  unary                                   13
% 7.66/1.64  binary                                  24
% 7.66/1.64  lits                                    78
% 7.66/1.64  lits eq                                 70
% 7.66/1.64  fd_pure                                 0
% 7.66/1.64  fd_pseudo                               0
% 7.66/1.64  fd_cond                                 0
% 7.66/1.64  fd_pseudo_cond                          0
% 7.66/1.64  AC symbols                              0
% 7.66/1.64  
% 7.66/1.64  ------ Schedule dynamic 5 is on 
% 7.66/1.64  
% 7.66/1.64  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.66/1.64  
% 7.66/1.64  
% 7.66/1.64  ------ 
% 7.66/1.64  Current options:
% 7.66/1.64  ------ 
% 7.66/1.64  
% 7.66/1.64  
% 7.66/1.64  
% 7.66/1.64  
% 7.66/1.64  ------ Proving...
% 7.66/1.64  
% 7.66/1.64  
% 7.66/1.64  % SZS status Unsatisfiable for theBenchmark.p
% 7.66/1.64  
% 7.66/1.64  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.66/1.64  
% 7.66/1.64  
%------------------------------------------------------------------------------