TSTP Solution File: GRP215-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP215-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 02:21:45 EDT 2024

% Result   : Unsatisfiable 7.95s 1.63s
% Output   : CNFRefutation 7.95s
% 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_c3) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

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

cnf(c_51,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(sk_c7,sk_c5) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

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

cnf(c_54,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | inverse(sk_c3) = sk_c7 ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

cnf(c_56,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

cnf(c_58,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | inverse(sk_c4) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

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

cnf(c_60,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_12) ).

cnf(c_61,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_13) ).

cnf(c_62,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_14) ).

cnf(c_63,negated_conjecture,
    ( multiply(sk_c2,sk_c6) = sk_c7
    | inverse(sk_c4) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

cnf(c_64,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

cnf(c_65,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_66,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

cnf(c_67,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c5
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

cnf(c_68,negated_conjecture,
    ( inverse(sk_c4) = sk_c7
    | inverse(sk_c2) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

cnf(c_69,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 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

cnf(c_70,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_71,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_72,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_73,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 ),
    inference(unflattening,[status(thm)],[c_69]) ).

cnf(c_278,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_73]) ).

cnf(c_279,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_73]) ).

cnf(c_280,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_73]) ).

cnf(c_281,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_73]) ).

cnf(c_282,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_73]) ).

cnf(c_283,plain,
    inverse(sk_c4) = sP4_iProver_def,
    definition ).

cnf(c_284,plain,
    inverse(sk_c2) = sP5_iProver_def,
    definition ).

cnf(c_285,plain,
    multiply(sk_c4,sk_c7) = sP6_iProver_def,
    definition ).

cnf(c_286,plain,
    multiply(sk_c7,sk_c5) = sP7_iProver_def,
    definition ).

cnf(c_287,plain,
    multiply(sk_c3,sk_c6) = sP8_iProver_def,
    definition ).

cnf(c_288,plain,
    inverse(sk_c3) = sP9_iProver_def,
    definition ).

cnf(c_289,plain,
    multiply(sk_c2,sk_c6) = sP10_iProver_def,
    definition ).

cnf(c_290,plain,
    inverse(sk_c1) = sP11_iProver_def,
    definition ).

cnf(c_291,plain,
    multiply(sk_c1,sk_c7) = sP12_iProver_def,
    definition ).

cnf(c_292,negated_conjecture,
    ( sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_282]) ).

cnf(c_293,negated_conjecture,
    ( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6
    | inverse(X0) != sk_c7
    | ~ sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_281]) ).

cnf(c_294,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | inverse(X0) != sk_c7
    | ~ sP2_iProver_def ),
    inference(demodulation,[status(thm)],[c_280]) ).

cnf(c_295,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c6
    | inverse(X0) != sk_c7
    | ~ sP1_iProver_def ),
    inference(demodulation,[status(thm)],[c_279]) ).

cnf(c_296,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | inverse(X0) != sk_c6
    | ~ sP0_iProver_def ),
    inference(demodulation,[status(thm)],[c_278]) ).

cnf(c_297,negated_conjecture,
    ( sP4_iProver_def = sk_c7
    | sP5_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_68,c_284,c_283]) ).

cnf(c_298,negated_conjecture,
    ( sP5_iProver_def = sk_c6
    | sP6_iProver_def = sk_c5 ),
    inference(demodulation,[status(thm)],[c_67,c_285]) ).

cnf(c_299,negated_conjecture,
    ( sP5_iProver_def = sk_c6
    | sP7_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_66,c_286]) ).

cnf(c_300,negated_conjecture,
    ( sP5_iProver_def = sk_c6
    | sP8_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_65,c_287]) ).

cnf(c_301,negated_conjecture,
    ( sP5_iProver_def = sk_c6
    | sP9_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_64,c_288]) ).

cnf(c_302,negated_conjecture,
    ( sP4_iProver_def = sk_c7
    | sP10_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_63,c_289]) ).

cnf(c_303,negated_conjecture,
    ( sP6_iProver_def = sk_c5
    | sP10_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_62]) ).

cnf(c_304,negated_conjecture,
    ( sP7_iProver_def = sk_c6
    | sP10_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_61]) ).

cnf(c_305,negated_conjecture,
    ( sP8_iProver_def = sk_c7
    | sP10_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_60]) ).

cnf(c_306,negated_conjecture,
    ( sP9_iProver_def = sk_c7
    | sP10_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_59]) ).

cnf(c_307,negated_conjecture,
    ( sP4_iProver_def = sk_c7
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_58,c_290]) ).

cnf(c_309,negated_conjecture,
    ( sP7_iProver_def = sk_c6
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_56]) ).

cnf(c_310,negated_conjecture,
    ( sP8_iProver_def = sk_c7
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_55]) ).

cnf(c_311,negated_conjecture,
    ( sP9_iProver_def = sk_c7
    | sP11_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_54]) ).

cnf(c_312,negated_conjecture,
    ( sP4_iProver_def = sk_c7
    | sP12_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_53,c_291]) ).

cnf(c_314,negated_conjecture,
    ( sP7_iProver_def = sk_c6
    | sP12_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_315,negated_conjecture,
    ( sP8_iProver_def = sk_c7
    | sP12_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_50]) ).

cnf(c_316,negated_conjecture,
    ( sP9_iProver_def = sk_c7
    | sP12_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_49]) ).

cnf(c_317,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_318,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_323,plain,
    sk_c7 = sk_c7,
    inference(instantiation,[status(thm)],[c_317]) ).

cnf(c_533,plain,
    ( multiply(sk_c7,sP6_iProver_def) = sP7_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_303,c_286]) ).

cnf(c_553,plain,
    ( multiply(sk_c2,sP5_iProver_def) = sP10_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_301,c_289]) ).

cnf(c_554,plain,
    ( multiply(sk_c2,sP5_iProver_def) = sP10_iProver_def
    | sk_c7 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_300,c_289]) ).

cnf(c_555,plain,
    ( multiply(sk_c2,sP7_iProver_def) = sP10_iProver_def
    | sk_c6 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_299,c_289]) ).

cnf(c_556,plain,
    ( multiply(sk_c2,sP5_iProver_def) = sP10_iProver_def
    | sk_c7 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_297,c_289]) ).

cnf(c_572,plain,
    ( multiply(sk_c2,sP7_iProver_def) = sP10_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_304,c_289]) ).

cnf(c_573,plain,
    ( multiply(sk_c3,sP7_iProver_def) = sP8_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_304,c_287]) ).

cnf(c_595,plain,
    ( multiply(sk_c4,sP10_iProver_def) = sP6_iProver_def
    | sk_c7 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_305,c_285]) ).

cnf(c_605,plain,
    ( multiply(sk_c4,sP10_iProver_def) = sP6_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_306,c_285]) ).

cnf(c_620,plain,
    ( multiply(sk_c4,sP11_iProver_def) = sP6_iProver_def
    | sk_c7 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_307,c_285]) ).

cnf(c_648,plain,
    ( multiply(sk_c2,sP7_iProver_def) = sP10_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_309,c_289]) ).

cnf(c_666,plain,
    ( inverse(X0) != X1
    | sk_c6 != X1
    | inverse(X0) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_318]) ).

cnf(c_678,plain,
    ( multiply(sk_c4,sP11_iProver_def) = sP6_iProver_def
    | sk_c7 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_310,c_285]) ).

cnf(c_693,plain,
    ( inverse(X0) != X1
    | X2 != X1
    | inverse(X0) = X2 ),
    inference(instantiation,[status(thm)],[c_318]) ).

cnf(c_709,plain,
    ( multiply(sk_c4,sP11_iProver_def) = sP6_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_311,c_285]) ).

cnf(c_717,plain,
    ( multiply(sk_c1,sP11_iProver_def) = sP12_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_311,c_291]) ).

cnf(c_718,plain,
    ( multiply(sk_c1,sP11_iProver_def) = sP12_iProver_def
    | sk_c7 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_310,c_291]) ).

cnf(c_719,plain,
    ( multiply(sk_c1,sP11_iProver_def) = sP12_iProver_def
    | sk_c7 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_307,c_291]) ).

cnf(c_722,plain,
    ( multiply(sk_c1,sP10_iProver_def) = sP12_iProver_def
    | sk_c7 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_302,c_291]) ).

cnf(c_737,plain,
    multiply(sP9_iProver_def,sk_c3) = identity,
    inference(superposition,[status(thm)],[c_288,c_71]) ).

cnf(c_738,plain,
    multiply(sP4_iProver_def,sk_c4) = identity,
    inference(superposition,[status(thm)],[c_283,c_71]) ).

cnf(c_739,plain,
    multiply(sP11_iProver_def,sk_c1) = identity,
    inference(superposition,[status(thm)],[c_290,c_71]) ).

cnf(c_740,plain,
    multiply(sP5_iProver_def,sk_c2) = identity,
    inference(superposition,[status(thm)],[c_284,c_71]) ).

cnf(c_743,plain,
    ( multiply(sk_c3,sk_c6) != sk_c7
    | inverse(sk_c3) != sk_c6
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_296]) ).

cnf(c_757,plain,
    ( multiply(sk_c2,sP12_iProver_def) = sP10_iProver_def
    | sk_c7 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_312,c_289]) ).

cnf(c_762,plain,
    ( sk_c7 = sP4_iProver_def
    | sP5_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_312,c_297]) ).

cnf(c_799,plain,
    ( inverse(sk_c3) != sP9_iProver_def
    | X0 != sP9_iProver_def
    | inverse(sk_c3) = X0 ),
    inference(instantiation,[status(thm)],[c_693]) ).

cnf(c_800,plain,
    ( inverse(sk_c3) != sP9_iProver_def
    | sk_c7 != sP9_iProver_def
    | inverse(sk_c3) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_799]) ).

cnf(c_823,plain,
    ( multiply(sk_c2,sP12_iProver_def) = sP10_iProver_def
    | sk_c6 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_314,c_289]) ).

cnf(c_858,plain,
    sk_c6 = sk_c6,
    inference(instantiation,[status(thm)],[c_317]) ).

cnf(c_859,plain,
    ( X0 != X1
    | sk_c6 != X1
    | sk_c6 = X0 ),
    inference(instantiation,[status(thm)],[c_318]) ).

cnf(c_872,plain,
    ( multiply(sk_c2,sP12_iProver_def) = sP10_iProver_def
    | sk_c7 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_315,c_289]) ).

cnf(c_875,plain,
    ( sk_c7 = sP8_iProver_def
    | sP5_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_315,c_300]) ).

cnf(c_920,plain,
    ( multiply(sk_c2,sP12_iProver_def) = sP10_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_316,c_289]) ).

cnf(c_922,plain,
    ( sk_c7 = sP9_iProver_def
    | sP5_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_316,c_301]) ).

cnf(c_943,plain,
    ( inverse(sk_c3) != X0
    | sk_c6 != X0
    | inverse(sk_c3) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_666]) ).

cnf(c_944,plain,
    ( inverse(sk_c3) != sk_c7
    | sk_c6 != sk_c7
    | inverse(sk_c3) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_943]) ).

cnf(c_964,plain,
    ( inverse(sk_c3) != sk_c7
    | sk_c7 != sP8_iProver_def
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_287,c_294]) ).

cnf(c_965,plain,
    ( inverse(sk_c2) != sk_c7
    | sk_c7 != sP10_iProver_def
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_289,c_294]) ).

cnf(c_981,plain,
    ( sk_c7 != sP5_iProver_def
    | sk_c7 != sP10_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_965,c_284]) ).

cnf(c_985,plain,
    ( sk_c7 != sP8_iProver_def
    | sk_c7 != sP9_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_964,c_288]) ).

cnf(c_1071,plain,
    ( inverse(sk_c1) != sk_c7
    | sk_c6 != sP12_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_291,c_295]) ).

cnf(c_1072,plain,
    ( inverse(sk_c4) != sk_c7
    | sk_c6 != sP6_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_285,c_295]) ).

cnf(c_1084,plain,
    ( sk_c7 != sP4_iProver_def
    | sk_c6 != sP6_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1072,c_283]) ).

cnf(c_1088,plain,
    ( sk_c7 != sP11_iProver_def
    | sk_c6 != sP12_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1071,c_290]) ).

cnf(c_1142,plain,
    ( inverse(sk_c2) != sk_c6
    | sk_c7 != sP10_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_289,c_296]) ).

cnf(c_1144,plain,
    ( inverse(inverse(sk_c6)) != sk_c6
    | sk_c7 != identity
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_71,c_296]) ).

cnf(c_1158,plain,
    ( sk_c7 != sP10_iProver_def
    | sk_c6 != sP5_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1142,c_284]) ).

cnf(c_1308,plain,
    ( multiply(sk_c7,sP6_iProver_def) != sk_c6
    | inverse(sk_c4) != sk_c7
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_285,c_293]) ).

cnf(c_1309,plain,
    ( multiply(sk_c7,sk_c7) != sk_c6
    | inverse(identity) != sk_c7
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_70,c_293]) ).

cnf(c_1310,plain,
    ( multiply(sk_c7,identity) != sk_c6
    | inverse(inverse(sk_c7)) != sk_c7
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_71,c_293]) ).

cnf(c_1320,plain,
    ( multiply(sk_c7,sP6_iProver_def) != sk_c6
    | sk_c7 != sP4_iProver_def
    | ~ sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1308,c_283]) ).

cnf(c_1493,plain,
    ( X0 != sk_c6
    | sk_c6 != sk_c6
    | sk_c6 = X0 ),
    inference(instantiation,[status(thm)],[c_859]) ).

cnf(c_1494,plain,
    ( sk_c7 != sk_c6
    | sk_c6 != sk_c6
    | sk_c6 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_1493]) ).

cnf(c_1653,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_71,c_72]) ).

cnf(c_1655,plain,
    multiply(sP9_iProver_def,multiply(sk_c3,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_737,c_72]) ).

cnf(c_1656,plain,
    multiply(sP4_iProver_def,multiply(sk_c4,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_738,c_72]) ).

cnf(c_1657,plain,
    multiply(sP11_iProver_def,multiply(sk_c1,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_739,c_72]) ).

cnf(c_1658,plain,
    multiply(sP5_iProver_def,multiply(sk_c2,X0)) = multiply(identity,X0),
    inference(superposition,[status(thm)],[c_740,c_72]) ).

cnf(c_1664,plain,
    multiply(sP5_iProver_def,multiply(sk_c2,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1658,c_70]) ).

cnf(c_1665,plain,
    multiply(sP11_iProver_def,multiply(sk_c1,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1657,c_70]) ).

cnf(c_1666,plain,
    multiply(sP4_iProver_def,multiply(sk_c4,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1656,c_70]) ).

cnf(c_1667,plain,
    multiply(sP9_iProver_def,multiply(sk_c3,X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1655,c_70]) ).

cnf(c_1935,plain,
    ( sP4_iProver_def = sP8_iProver_def
    | sP5_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_875,c_762]) ).

cnf(c_1991,plain,
    ( sP5_iProver_def = sP12_iProver_def
    | sP8_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_922,c_875]) ).

cnf(c_1992,plain,
    ( sP4_iProver_def = sP9_iProver_def
    | sP5_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_922,c_762]) ).

cnf(c_2071,plain,
    multiply(sP5_iProver_def,sP10_iProver_def) = sk_c6,
    inference(superposition,[status(thm)],[c_289,c_1664]) ).

cnf(c_2415,plain,
    multiply(sP11_iProver_def,sP12_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_291,c_1665]) ).

cnf(c_2426,plain,
    multiply(sP4_iProver_def,sP6_iProver_def) = sk_c7,
    inference(superposition,[status(thm)],[c_285,c_1666]) ).

cnf(c_2434,plain,
    multiply(sP9_iProver_def,sP8_iProver_def) = sk_c6,
    inference(superposition,[status(thm)],[c_287,c_1667]) ).

cnf(c_2547,plain,
    ( multiply(sP5_iProver_def,sP10_iProver_def) = sP7_iProver_def
    | sk_c6 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_555,c_1664]) ).

cnf(c_2548,plain,
    ( sk_c6 = sP5_iProver_def
    | sk_c6 = sP7_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2547,c_2071]) ).

cnf(c_2589,plain,
    ( multiply(sP5_iProver_def,sP10_iProver_def) = sP7_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_572,c_1664]) ).

cnf(c_2590,plain,
    ( sk_c7 = sP10_iProver_def
    | sk_c6 = sP7_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2589,c_2071]) ).

cnf(c_2629,plain,
    ( multiply(sP4_iProver_def,sP6_iProver_def) = sP10_iProver_def
    | sk_c7 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_595,c_1666]) ).

cnf(c_2630,plain,
    ( sk_c7 = sP8_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2629,c_2426]) ).

cnf(c_2707,plain,
    ( multiply(sP4_iProver_def,sP6_iProver_def) = sP10_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_605,c_1666]) ).

cnf(c_2708,plain,
    ( sk_c7 = sP9_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2707,c_2426]) ).

cnf(c_2760,plain,
    ( multiply(sP4_iProver_def,sP6_iProver_def) = sP11_iProver_def
    | sk_c7 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_620,c_1666]) ).

cnf(c_2761,plain,
    ( sk_c7 = sP4_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2760,c_2426]) ).

cnf(c_2898,plain,
    ( multiply(sP5_iProver_def,sP10_iProver_def) = sP7_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_648,c_1664]) ).

cnf(c_2899,plain,
    ( sk_c7 = sP11_iProver_def
    | sk_c6 = sP7_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2898,c_2071]) ).

cnf(c_2941,plain,
    ( multiply(sP4_iProver_def,sP6_iProver_def) = sP11_iProver_def
    | sk_c7 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_678,c_1666]) ).

cnf(c_2942,plain,
    ( sk_c7 = sP8_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2941,c_2426]) ).

cnf(c_2974,plain,
    ( multiply(sP4_iProver_def,sP6_iProver_def) = sP11_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_709,c_1666]) ).

cnf(c_2975,plain,
    ( sk_c7 = sP9_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2974,c_2426]) ).

cnf(c_3149,plain,
    ( multiply(sP11_iProver_def,sP12_iProver_def) = sP10_iProver_def
    | sk_c7 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_722,c_1665]) ).

cnf(c_3150,plain,
    ( sk_c7 = sP4_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3149,c_2415]) ).

cnf(c_3164,plain,
    ( multiply(sP5_iProver_def,sP10_iProver_def) = sP12_iProver_def
    | sk_c7 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_757,c_1664]) ).

cnf(c_3165,plain,
    ( sk_c7 = sP4_iProver_def
    | sk_c6 = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3164,c_2071]) ).

cnf(c_3246,plain,
    ( multiply(sP5_iProver_def,sP10_iProver_def) = sP12_iProver_def
    | sk_c6 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_823,c_1664]) ).

cnf(c_3247,plain,
    ( sk_c6 = sP7_iProver_def
    | sk_c6 = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3246,c_2071]) ).

cnf(c_3272,plain,
    ( X0 != X1
    | sk_c6 != X1
    | X0 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_318]) ).

cnf(c_3273,plain,
    ( sk_c7 != sk_c7
    | sk_c6 != sk_c7
    | sk_c7 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_3272]) ).

cnf(c_3369,plain,
    ( multiply(sP5_iProver_def,sP10_iProver_def) = sP12_iProver_def
    | sk_c7 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_872,c_1664]) ).

cnf(c_3370,plain,
    ( sk_c7 = sP8_iProver_def
    | sk_c6 = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3369,c_2071]) ).

cnf(c_3397,plain,
    ( multiply(sP5_iProver_def,sP10_iProver_def) = sP12_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_920,c_1664]) ).

cnf(c_3398,plain,
    ( sk_c7 = sP9_iProver_def
    | sk_c6 = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3397,c_2071]) ).

cnf(c_4493,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_1653,c_70]) ).

cnf(c_4500,plain,
    multiply(inverse(sk_c7),sP7_iProver_def) = sk_c5,
    inference(superposition,[status(thm)],[c_286,c_4493]) ).

cnf(c_4503,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_70,c_4493]) ).

cnf(c_4504,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_71,c_4493]) ).

cnf(c_4515,plain,
    ( multiply(inverse(sk_c7),sP7_iProver_def) = sP6_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_533,c_4493]) ).

cnf(c_4570,plain,
    multiply(inverse(sP9_iProver_def),X0) = multiply(sk_c3,X0),
    inference(superposition,[status(thm)],[c_1667,c_4493]) ).

cnf(c_4571,plain,
    multiply(inverse(sP4_iProver_def),X0) = multiply(sk_c4,X0),
    inference(superposition,[status(thm)],[c_1666,c_4493]) ).

cnf(c_4572,plain,
    multiply(inverse(sP11_iProver_def),X0) = multiply(sk_c1,X0),
    inference(superposition,[status(thm)],[c_1665,c_4493]) ).

cnf(c_4573,plain,
    multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c2,X0),
    inference(superposition,[status(thm)],[c_1664,c_4493]) ).

cnf(c_4592,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_4493,c_4493]) ).

cnf(c_4725,plain,
    ( X0 != sP7_iProver_def
    | sk_c6 != sP7_iProver_def
    | sk_c6 = X0 ),
    inference(instantiation,[status(thm)],[c_859]) ).

cnf(c_4728,plain,
    ( sk_c7 != sP7_iProver_def
    | sk_c6 != sP7_iProver_def
    | sk_c6 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_4725]) ).

cnf(c_4822,plain,
    ( multiply(sk_c2,sk_c6) != sk_c7
    | inverse(sk_c2) != sk_c6
    | ~ sP0_iProver_def ),
    inference(instantiation,[status(thm)],[c_296]) ).

cnf(c_4855,plain,
    ( inverse(inverse(identity)) != sk_c6
    | sk_c7 != sk_c6
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_4503,c_296]) ).

cnf(c_4915,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_4504,c_4592]) ).

cnf(c_4936,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_4915,c_4503]) ).

cnf(c_5565,plain,
    ( sk_c7 != sP5_iProver_def
    | ~ sP2_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_981,c_985,c_981,c_2630,c_2708]) ).

cnf(c_5586,plain,
    ( sP5_iProver_def != sP10_iProver_def
    | ~ sP2_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_306,c_5565]) ).

cnf(c_5587,plain,
    ( sP5_iProver_def != sP10_iProver_def
    | ~ sP2_iProver_def
    | sk_c7 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_305,c_5565]) ).

cnf(c_5725,plain,
    ( ~ sP2_iProver_def
    | sP5_iProver_def != sP10_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_5586,c_985,c_5587,c_5586]) ).

cnf(c_5726,plain,
    ( sP5_iProver_def != sP10_iProver_def
    | ~ sP2_iProver_def ),
    inference(renaming,[status(thm)],[c_5725]) ).

cnf(c_5799,plain,
    ( sk_c6 != sP6_iProver_def
    | ~ sP1_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_1084,c_1088,c_1084,c_2761,c_3165]) ).

cnf(c_5815,plain,
    ( sP6_iProver_def != sP12_iProver_def
    | ~ sP1_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_316,c_5799]) ).

cnf(c_5816,plain,
    ( sP6_iProver_def != sP12_iProver_def
    | ~ sP1_iProver_def
    | sk_c7 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_315,c_5799]) ).

cnf(c_5817,plain,
    ( sP6_iProver_def != sP12_iProver_def
    | ~ sP1_iProver_def
    | sk_c6 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_314,c_5799]) ).

cnf(c_5818,plain,
    ( sP6_iProver_def != sP12_iProver_def
    | ~ sP1_iProver_def
    | sk_c7 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_312,c_5799]) ).

cnf(c_5864,plain,
    ( ~ sP1_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_5815,c_1088,c_2975,c_3398]) ).

cnf(c_5887,plain,
    ( ~ sP1_iProver_def
    | sk_c7 = sP8_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_5816,c_1088,c_2942,c_3370]) ).

cnf(c_5900,plain,
    ( multiply(sk_c7,multiply(sk_c3,sk_c7)) != sk_c6
    | inverse(inverse(sP9_iProver_def)) != sk_c7
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_4570,c_293]) ).

cnf(c_5902,plain,
    multiply(sk_c3,sP9_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_4570,c_71]) ).

cnf(c_5906,plain,
    ( multiply(sk_c3,sk_c6) != sk_c7
    | inverse(inverse(sP9_iProver_def)) != sk_c7
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_4570,c_294]) ).

cnf(c_5908,plain,
    multiply(sk_c3,identity) = inverse(sP9_iProver_def),
    inference(superposition,[status(thm)],[c_4570,c_4915]) ).

cnf(c_5909,plain,
    ( inverse(inverse(sP9_iProver_def)) != sk_c7
    | sk_c7 != sP8_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5906,c_287]) ).

cnf(c_5946,plain,
    ( ~ sP1_iProver_def
    | sk_c6 = sP7_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_5817,c_1088,c_2899,c_3247]) ).

cnf(c_5952,plain,
    ( ~ sP1_iProver_def
    | sk_c7 = sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_5818,c_1088,c_2761,c_3165]) ).

cnf(c_6057,plain,
    ( sk_c7 != sP10_iProver_def
    | ~ sP0_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_301,c_1158]) ).

cnf(c_6058,plain,
    ( sk_c7 != sP10_iProver_def
    | ~ sP0_iProver_def
    | sk_c7 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_300,c_1158]) ).

cnf(c_6060,plain,
    ( sk_c7 != sP10_iProver_def
    | ~ sP0_iProver_def
    | sk_c7 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_297,c_1158]) ).

cnf(c_6109,plain,
    ( ~ sP0_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_6057,c_2708,c_6057]) ).

cnf(c_6115,plain,
    inverse(sP9_iProver_def) = sk_c3,
    inference(demodulation,[status(thm)],[c_5908,c_4915]) ).

cnf(c_6138,plain,
    multiply(sk_c4,sP4_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_4571,c_71]) ).

cnf(c_6144,plain,
    multiply(sk_c4,identity) = inverse(sP4_iProver_def),
    inference(superposition,[status(thm)],[c_4571,c_4915]) ).

cnf(c_6244,plain,
    ( ~ sP0_iProver_def
    | sk_c7 = sP8_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_6058,c_2630,c_6058]) ).

cnf(c_6250,plain,
    ( ~ sP0_iProver_def
    | sk_c7 = sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_6060,c_3150,c_6060]) ).

cnf(c_6467,plain,
    inverse(sP4_iProver_def) = sk_c4,
    inference(demodulation,[status(thm)],[c_6144,c_4915]) ).

cnf(c_6515,plain,
    multiply(sk_c1,sP11_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_4572,c_71]) ).

cnf(c_6542,plain,
    ( sk_c7 = sP4_iProver_def
    | identity = sP12_iProver_def ),
    inference(demodulation,[status(thm)],[c_719,c_6515]) ).

cnf(c_6543,plain,
    ( sk_c7 = sP8_iProver_def
    | identity = sP12_iProver_def ),
    inference(demodulation,[status(thm)],[c_718,c_6515]) ).

cnf(c_6544,plain,
    ( sk_c7 = sP9_iProver_def
    | identity = sP12_iProver_def ),
    inference(demodulation,[status(thm)],[c_717,c_6515]) ).

cnf(c_6893,plain,
    ( identity = sP12_iProver_def
    | sP4_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_6543,c_6542]) ).

cnf(c_7000,plain,
    ( identity = sP12_iProver_def
    | sP8_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_6544,c_6543]) ).

cnf(c_7001,plain,
    ( identity = sP12_iProver_def
    | sP4_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_6544,c_6542]) ).

cnf(c_7359,plain,
    ( sk_c7 != sk_c6
    | ~ sP0_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_4855,c_65,c_60,c_288,c_743,c_800,c_858,c_944,c_1494,c_4822,c_6109]) ).

cnf(c_7377,plain,
    ( sk_c7 != sP12_iProver_def
    | ~ sP0_iProver_def
    | sk_c6 = sP7_iProver_def ),
    inference(superposition,[status(thm)],[c_314,c_7359]) ).

cnf(c_7379,plain,
    ( sk_c7 != sP7_iProver_def
    | ~ sP0_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_309,c_7359]) ).

cnf(c_7397,plain,
    ( ~ sP0_iProver_def
    | sk_c6 = sP7_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_7377,c_1158,c_2548,c_2590]) ).

cnf(c_7439,plain,
    ( ~ sP0_iProver_def
    | sk_c7 != sP7_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_7379,c_323,c_3273,c_4728,c_7359,c_7397]) ).

cnf(c_7440,plain,
    ( sk_c7 != sP7_iProver_def
    | ~ sP0_iProver_def ),
    inference(renaming,[status(thm)],[c_7439]) ).

cnf(c_7677,plain,
    multiply(sk_c2,sP5_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_4573,c_71]) ).

cnf(c_7680,plain,
    ( multiply(sk_c2,sk_c6) != sk_c7
    | inverse(inverse(sP5_iProver_def)) != sk_c6
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_4573,c_296]) ).

cnf(c_7683,plain,
    multiply(sk_c2,identity) = inverse(sP5_iProver_def),
    inference(superposition,[status(thm)],[c_4573,c_4915]) ).

cnf(c_7688,plain,
    ( inverse(inverse(sP5_iProver_def)) != sk_c6
    | sk_c7 != sP10_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_7680,c_289]) ).

cnf(c_7698,plain,
    ( sk_c7 = sP4_iProver_def
    | identity = sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_556,c_7677]) ).

cnf(c_7699,plain,
    ( sk_c7 = sP8_iProver_def
    | identity = sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_554,c_7677]) ).

cnf(c_7700,plain,
    ( sk_c7 = sP9_iProver_def
    | identity = sP10_iProver_def ),
    inference(demodulation,[status(thm)],[c_553,c_7677]) ).

cnf(c_7737,plain,
    inverse(sP5_iProver_def) = sk_c2,
    inference(demodulation,[status(thm)],[c_7683,c_4915]) ).

cnf(c_7745,plain,
    ( multiply(sk_c7,sk_c7) != sk_c6
    | sk_c7 != identity
    | ~ sP3_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1309,c_4936]) ).

cnf(c_7788,plain,
    ( multiply(sP11_iProver_def,sP11_iProver_def) != sk_c6
    | sk_c7 != identity
    | ~ sP3_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_311,c_7745]) ).

cnf(c_8032,plain,
    ( inverse(inverse(sk_c7)) != sk_c7
    | sk_c7 != sk_c6
    | ~ sP3_iProver_def ),
    inference(demodulation,[status(thm)],[c_1310,c_4915]) ).

cnf(c_8445,plain,
    ( identity = sP10_iProver_def
    | sP4_iProver_def = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_7699,c_7698]) ).

cnf(c_8585,plain,
    ( identity = sP10_iProver_def
    | sP8_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_7700,c_7699]) ).

cnf(c_8586,plain,
    ( identity = sP10_iProver_def
    | sP4_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_7700,c_7698]) ).

cnf(c_8857,plain,
    ( sP4_iProver_def = sP8_iProver_def
    | sP10_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_8445,c_6893]) ).

cnf(c_8921,plain,
    ( sP8_iProver_def = sP9_iProver_def
    | sP10_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_8585,c_7000]) ).

cnf(c_8952,plain,
    ( sP4_iProver_def = sP9_iProver_def
    | sP10_iProver_def = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_8586,c_7001]) ).

cnf(c_9970,plain,
    ( sP4_iProver_def = sP8_iProver_def
    | sP5_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_8857,c_1935]) ).

cnf(c_10108,plain,
    ( sP5_iProver_def = sP10_iProver_def
    | sP8_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_8921,c_1991]) ).

cnf(c_10159,plain,
    ( sP4_iProver_def = sP9_iProver_def
    | sP5_iProver_def = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_8952,c_1992]) ).

cnf(c_11012,plain,
    ( ~ sP2_iProver_def
    | sP8_iProver_def = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_10108,c_5726]) ).

cnf(c_12096,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_11012,c_10159,c_9970,c_8032,c_7788,c_7737,c_7688,c_7677,c_7440,c_6515,c_6467,c_6250,c_6244,c_6138,c_6115,c_6109,c_5952,c_5946,c_5909,c_5900,c_5908,c_5902,c_5887,c_5864,c_5799,c_5726,c_4515,c_4500,c_3150,c_2590,c_2434,c_2426,c_2415,c_1320,c_1144,c_1084,c_985,c_573,c_533,c_316,c_311,c_306,c_301,c_300,c_299,c_298,c_297,c_291,c_289,c_288,c_287,c_286,c_285,c_284,c_283,c_292]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GRP215-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.33  % Computer : n024.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Thu May  2 23:42:50 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  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
% 7.95/1.63  % SZS status Started for theBenchmark.p
% 7.95/1.63  % SZS status Unsatisfiable for theBenchmark.p
% 7.95/1.63  
% 7.95/1.63  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.95/1.63  
% 7.95/1.63  ------  iProver source info
% 7.95/1.63  
% 7.95/1.63  git: date: 2024-05-02 19:28:25 +0000
% 7.95/1.63  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.95/1.63  git: non_committed_changes: false
% 7.95/1.63  
% 7.95/1.63  ------ Parsing...successful
% 7.95/1.63  
% 7.95/1.63  
% 7.95/1.63  
% 7.95/1.63  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 7.95/1.63  
% 7.95/1.63  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.95/1.63  
% 7.95/1.63  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 7.95/1.63  ------ Proving...
% 7.95/1.63  ------ Problem Properties 
% 7.95/1.63  
% 7.95/1.63  
% 7.95/1.63  clauses                                 37
% 7.95/1.63  conjectures                             25
% 7.95/1.63  EPR                                     21
% 7.95/1.63  Horn                                    16
% 7.95/1.63  unary                                   12
% 7.95/1.63  binary                                  20
% 7.95/1.63  lits                                    68
% 7.95/1.63  lits eq                                 60
% 7.95/1.63  fd_pure                                 0
% 7.95/1.63  fd_pseudo                               0
% 7.95/1.63  fd_cond                                 0
% 7.95/1.63  fd_pseudo_cond                          0
% 7.95/1.63  AC symbols                              0
% 7.95/1.63  
% 7.95/1.63  ------ Schedule dynamic 5 is on 
% 7.95/1.63  
% 7.95/1.63  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.95/1.63  
% 7.95/1.63  
% 7.95/1.63  ------ 
% 7.95/1.63  Current options:
% 7.95/1.63  ------ 
% 7.95/1.63  
% 7.95/1.63  
% 7.95/1.63  
% 7.95/1.63  
% 7.95/1.63  ------ Proving...
% 7.95/1.63  
% 7.95/1.63  
% 7.95/1.63  % SZS status Unsatisfiable for theBenchmark.p
% 7.95/1.63  
% 7.95/1.63  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.95/1.63  
% 7.95/1.64  
%------------------------------------------------------------------------------