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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GRP216-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 06:58:44 EDT 2024

% Result   : Unsatisfiable 4.14s 1.17s
% Output   : CNFRefutation 4.14s
% 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_50,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | inverse(sk_c3) = 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_c3,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

cnf(c_52,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_4) ).

cnf(c_54,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | inverse(sk_c4) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

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_58,negated_conjecture,
    ( multiply(sk_c7,sk_c5) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

cnf(c_60,negated_conjecture,
    ( inverse(sk_c1) = sk_c7
    | inverse(sk_c4) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

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_350,negated_conjecture,
    ( sP5_iProver_def = sk_c7
    | sP12_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_60,c_331]) ).

cnf(c_352,negated_conjecture,
    ( sP8_iProver_def = sk_c6
    | sP12_iProver_def = sk_c7 ),
    inference(demodulation,[status(thm)],[c_58]) ).

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_356,negated_conjecture,
    ( sP5_iProver_def = sk_c7
    | sP13_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_54,c_332]) ).

cnf(c_358,negated_conjecture,
    ( sP8_iProver_def = sk_c6
    | sP13_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_52]) ).

cnf(c_359,negated_conjecture,
    ( sP9_iProver_def = sk_c7
    | sP13_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_51]) ).

cnf(c_360,negated_conjecture,
    ( sP10_iProver_def = sk_c7
    | sP13_iProver_def = sk_c6 ),
    inference(demodulation,[status(thm)],[c_50]) ).

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

cnf(c_600,plain,
    ( multiply(sk_c4,sP11_iProver_def) = sP7_iProver_def
    | sk_c7 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_344,c_326]) ).

cnf(c_604,plain,
    ( multiply(sk_c7,sP7_iProver_def) = sP8_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_345,c_327]) ).

cnf(c_615,plain,
    ( multiply(sk_c3,sP8_iProver_def) = sP9_iProver_def
    | sk_c6 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_340,c_328]) ).

cnf(c_635,plain,
    ( multiply(sk_c3,sP8_iProver_def) = sP9_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_346,c_328]) ).

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_672,plain,
    ( multiply(sk_c4,sP11_iProver_def) = sP7_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_348,c_326]) ).

cnf(c_726,plain,
    ( multiply(sk_c4,sP12_iProver_def) = sP7_iProver_def
    | sk_c7 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_350,c_326]) ).

cnf(c_761,plain,
    ( multiply(sk_c3,sP8_iProver_def) = sP9_iProver_def
    | sk_c7 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_352,c_328]) ).

cnf(c_827,plain,
    ( multiply(sk_c2,sP4_iProver_def) = sP11_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_349,c_330]) ).

cnf(c_828,plain,
    ( multiply(sk_c2,sP8_iProver_def) = sP11_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_346,c_330]) ).

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_938,plain,
    ( multiply(sk_c2,sP4_iProver_def) = sP11_iProver_def
    | sk_c7 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_355,c_330]) ).

cnf(c_1012,plain,
    ( multiply(sk_c2,sP13_iProver_def) = sP11_iProver_def
    | sk_c7 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_356,c_330]) ).

cnf(c_1016,plain,
    ( multiply(sk_c3,sP13_iProver_def) = sP9_iProver_def
    | sk_c7 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_356,c_328]) ).

cnf(c_1086,plain,
    ( multiply(sk_c2,sP13_iProver_def) = sP11_iProver_def
    | sk_c6 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_358,c_330]) ).

cnf(c_1168,plain,
    ( sk_c7 = sP9_iProver_def
    | sP6_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_359,c_341]) ).

cnf(c_1231,plain,
    ( sk_c7 = sP10_iProver_def
    | sP6_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_360,c_342]) ).

cnf(c_1288,plain,
    ( multiply(sk_c2,sP13_iProver_def) = sP11_iProver_def
    | sk_c6 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_361,c_330]) ).

cnf(c_1292,plain,
    ( multiply(sk_c3,sP13_iProver_def) = sP9_iProver_def
    | sk_c6 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_361,c_328]) ).

cnf(c_1293,plain,
    ( sk_c6 = sP4_iProver_def
    | sP6_iProver_def = sP13_iProver_def ),
    inference(superposition,[status(thm)],[c_361,c_343]) ).

cnf(c_1368,plain,
    ( sP4_iProver_def != sP13_iProver_def
    | sk_c7 = sP5_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_356,c_333]) ).

cnf(c_1369,plain,
    ( sk_c7 = sP12_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_355,c_333]) ).

cnf(c_1371,plain,
    ( sk_c7 = sP11_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_349,c_333]) ).

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_1495,plain,
    ( inverse(sk_c2) != sk_c7
    | sk_c7 != sP11_iProver_def
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_330,c_335]) ).

cnf(c_1515,plain,
    ( sk_c7 != sP6_iProver_def
    | sk_c7 != sP11_iProver_def
    | ~ sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_1495,c_325]) ).

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_1730,plain,
    multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sP9_iProver_def,X0),
    inference(superposition,[status(thm)],[c_328,c_76]) ).

cnf(c_1731,plain,
    multiply(sk_c7,multiply(sk_c5,X0)) = multiply(sP8_iProver_def,X0),
    inference(superposition,[status(thm)],[c_327,c_76]) ).

cnf(c_1732,plain,
    multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sP7_iProver_def,X0),
    inference(superposition,[status(thm)],[c_326,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_2474,plain,
    ( inverse(sk_c1) != sk_c7
    | sk_c6 != sP13_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_332,c_336]) ).

cnf(c_2475,plain,
    ( inverse(sk_c4) != sk_c7
    | sk_c6 != sP7_iProver_def
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_326,c_336]) ).

cnf(c_2479,plain,
    ( inverse(sP4_iProver_def) != sk_c7
    | sk_c6 != identity
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_873,c_336]) ).

cnf(c_2498,plain,
    ( sk_c7 != sP5_iProver_def
    | sk_c6 != sP7_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2475,c_324]) ).

cnf(c_2502,plain,
    ( sk_c7 != sP12_iProver_def
    | sk_c6 != sP13_iProver_def
    | ~ sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2474,c_331]) ).

cnf(c_2607,plain,
    ( inverse(sk_c3) != sk_c6
    | sk_c7 != sP9_iProver_def
    | ~ sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_328,c_337]) ).

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_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_2634,plain,
    ( sk_c7 != sP9_iProver_def
    | sk_c6 != sP10_iProver_def
    | ~ sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_2607,c_329]) ).

cnf(c_3191,plain,
    ( sP6_iProver_def = sP13_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP2_iProver_def
    | sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_1293,c_333]) ).

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_3418,plain,
    multiply(sP5_iProver_def,multiply(sP7_iProver_def,X0)) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_3415,c_76]) ).

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_3457,plain,
    ( multiply(sP4_iProver_def,multiply(sP12_iProver_def,X0)) = X0
    | sk_c7 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_354,c_1746]) ).

cnf(c_3458,plain,
    ( multiply(sP4_iProver_def,multiply(sP12_iProver_def,X0)) = X0
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_353,c_1746]) ).

cnf(c_3459,plain,
    ( multiply(sP4_iProver_def,multiply(sP12_iProver_def,X0)) = X0
    | sk_c7 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_350,c_1746]) ).

cnf(c_3543,plain,
    ( sP1_iProver_def
    | sP0_iProver_def
    | sP6_iProver_def = sP13_iProver_def
    | sP3_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_3191,c_1168,c_1231,c_1519,c_3191]) ).

cnf(c_3544,plain,
    ( sP6_iProver_def = sP13_iProver_def
    | sP0_iProver_def
    | sP1_iProver_def
    | sP3_iProver_def ),
    inference(renaming,[status(thm)],[c_3543]) ).

cnf(c_3588,plain,
    ( multiply(sP5_iProver_def,sP7_iProver_def) = sP11_iProver_def
    | sk_c7 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_600,c_1744]) ).

cnf(c_3589,plain,
    ( sk_c7 = sP5_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3588,c_3415]) ).

cnf(c_3655,plain,
    multiply(sP6_iProver_def,sP11_iProver_def) = sk_c6,
    inference(superposition,[status(thm)],[c_330,c_1827]) ).

cnf(c_3658,plain,
    multiply(sP6_iProver_def,multiply(sP11_iProver_def,X0)) = multiply(sk_c6,X0),
    inference(superposition,[status(thm)],[c_3655,c_76]) ).

cnf(c_4052,plain,
    ( multiply(sP10_iProver_def,sP9_iProver_def) = sP8_iProver_def
    | sk_c6 = sP6_iProver_def ),
    inference(superposition,[status(thm)],[c_615,c_1745]) ).

cnf(c_4053,plain,
    ( sk_c6 = sP6_iProver_def
    | sk_c6 = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_4052,c_3428]) ).

cnf(c_4155,plain,
    ( multiply(sP10_iProver_def,sP9_iProver_def) = sP8_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_635,c_1745]) ).

cnf(c_4156,plain,
    ( sk_c7 = sP11_iProver_def
    | sk_c6 = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_4155,c_3428]) ).

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_4215,plain,
    ( multiply(sP5_iProver_def,sP7_iProver_def) = sP11_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_672,c_1744]) ).

cnf(c_4216,plain,
    ( sk_c7 = sP10_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_4215,c_3415]) ).

cnf(c_4265,plain,
    ( multiply(sP5_iProver_def,sP7_iProver_def) = sP12_iProver_def
    | sk_c7 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_726,c_1744]) ).

cnf(c_4266,plain,
    ( sk_c7 = sP5_iProver_def
    | sk_c7 = sP12_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_4265,c_3415]) ).

cnf(c_4352,plain,
    ( multiply(sP10_iProver_def,sP9_iProver_def) = sP8_iProver_def
    | sk_c7 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_761,c_1745]) ).

cnf(c_4353,plain,
    ( sk_c7 = sP12_iProver_def
    | sk_c6 = sP8_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_4352,c_3428]) ).

cnf(c_4844,plain,
    ( multiply(sP6_iProver_def,sP11_iProver_def) = sP4_iProver_def
    | sk_c7 = sP12_iProver_def ),
    inference(superposition,[status(thm)],[c_938,c_1827]) ).

cnf(c_4845,plain,
    ( sk_c7 = sP12_iProver_def
    | sk_c6 = sP4_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_4844,c_3655]) ).

cnf(c_5073,plain,
    ( multiply(sP6_iProver_def,sP11_iProver_def) = sP13_iProver_def
    | sk_c7 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_1012,c_1827]) ).

cnf(c_5074,plain,
    ( sk_c7 = sP5_iProver_def
    | sk_c6 = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5073,c_3655]) ).

cnf(c_5169,plain,
    ( multiply(sP6_iProver_def,sP11_iProver_def) = sP13_iProver_def
    | sk_c6 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_1086,c_1827]) ).

cnf(c_5170,plain,
    ( sk_c6 = sP8_iProver_def
    | sk_c6 = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5169,c_3655]) ).

cnf(c_5350,plain,
    ( multiply(sP6_iProver_def,sP11_iProver_def) = sP13_iProver_def
    | sk_c6 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_1288,c_1827]) ).

cnf(c_5351,plain,
    ( sk_c6 = sP4_iProver_def
    | sk_c6 = sP13_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5350,c_3655]) ).

cnf(c_5522,plain,
    multiply(sk_c1,sP8_iProver_def) = multiply(sP13_iProver_def,sk_c5),
    inference(superposition,[status(thm)],[c_327,c_1729]) ).

cnf(c_6730,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_1735,c_74]) ).

cnf(c_6751,plain,
    multiply(inverse(sk_c3),sP9_iProver_def) = sk_c6,
    inference(superposition,[status(thm)],[c_328,c_6730]) ).

cnf(c_6752,plain,
    multiply(inverse(sk_c7),sP8_iProver_def) = sk_c5,
    inference(superposition,[status(thm)],[c_327,c_6730]) ).

cnf(c_6754,plain,
    multiply(inverse(sk_c2),sP11_iProver_def) = sk_c6,
    inference(superposition,[status(thm)],[c_330,c_6730]) ).

cnf(c_6755,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_74,c_6730]) ).

cnf(c_6756,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_75,c_6730]) ).

cnf(c_6769,plain,
    ( multiply(inverse(sk_c7),sP8_iProver_def) = sP7_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_604,c_6730]) ).

cnf(c_6789,plain,
    ( multiply(inverse(sk_c2),sP11_iProver_def) = sP8_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_828,c_6730]) ).

cnf(c_6793,plain,
    ( multiply(inverse(sk_c2),sP11_iProver_def) = sP4_iProver_def
    | sk_c7 = sP11_iProver_def ),
    inference(superposition,[status(thm)],[c_827,c_6730]) ).

cnf(c_6824,plain,
    ( multiply(inverse(sk_c3),sP9_iProver_def) = sP13_iProver_def
    | sk_c6 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_1292,c_6730]) ).

cnf(c_6828,plain,
    ( multiply(inverse(sk_c3),sP9_iProver_def) = sP13_iProver_def
    | sk_c7 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_1016,c_6730]) ).

cnf(c_6835,plain,
    multiply(inverse(sP4_iProver_def),X0) = multiply(sk_c7,X0),
    inference(superposition,[status(thm)],[c_1746,c_6730]) ).

cnf(c_6836,plain,
    multiply(inverse(sP10_iProver_def),X0) = multiply(sk_c3,X0),
    inference(superposition,[status(thm)],[c_1745,c_6730]) ).

cnf(c_6837,plain,
    multiply(inverse(sP5_iProver_def),X0) = multiply(sk_c4,X0),
    inference(superposition,[status(thm)],[c_1744,c_6730]) ).

cnf(c_6838,plain,
    multiply(inverse(sP12_iProver_def),X0) = multiply(sk_c1,X0),
    inference(superposition,[status(thm)],[c_1743,c_6730]) ).

cnf(c_6872,plain,
    multiply(inverse(sP6_iProver_def),sk_c6) = sP11_iProver_def,
    inference(superposition,[status(thm)],[c_3655,c_6730]) ).

cnf(c_6877,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_6730,c_6730]) ).

cnf(c_7302,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_6756,c_6877]) ).

cnf(c_7311,plain,
    multiply(sk_c4,sk_c7) = multiply(sP7_iProver_def,identity),
    inference(superposition,[status(thm)],[c_7302,c_1732]) ).

cnf(c_7312,plain,
    multiply(sk_c1,sk_c7) = multiply(sP13_iProver_def,identity),
    inference(superposition,[status(thm)],[c_7302,c_1729]) ).

cnf(c_7316,plain,
    multiply(sk_c3,sk_c6) = multiply(sP9_iProver_def,identity),
    inference(superposition,[status(thm)],[c_7302,c_1730]) ).

cnf(c_7318,plain,
    multiply(sk_c7,sk_c5) = multiply(sP8_iProver_def,identity),
    inference(superposition,[status(thm)],[c_7302,c_1731]) ).

cnf(c_7319,plain,
    multiply(sk_c7,identity) = multiply(sP5_iProver_def,sP7_iProver_def),
    inference(superposition,[status(thm)],[c_7302,c_3418]) ).

cnf(c_7320,plain,
    multiply(sk_c6,identity) = multiply(sP6_iProver_def,sP11_iProver_def),
    inference(superposition,[status(thm)],[c_7302,c_3658]) ).

cnf(c_7325,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_7302,c_6755]) ).

cnf(c_7326,plain,
    multiply(sk_c6,identity) = sk_c6,
    inference(light_normalisation,[status(thm)],[c_7320,c_3655]) ).

cnf(c_7328,plain,
    multiply(sP8_iProver_def,identity) = sP8_iProver_def,
    inference(light_normalisation,[status(thm)],[c_7318,c_327]) ).

cnf(c_7330,plain,
    multiply(sP9_iProver_def,identity) = sP9_iProver_def,
    inference(light_normalisation,[status(thm)],[c_7316,c_328]) ).

cnf(c_7333,plain,
    multiply(sP13_iProver_def,identity) = sP13_iProver_def,
    inference(light_normalisation,[status(thm)],[c_7312,c_332]) ).

cnf(c_7334,plain,
    multiply(sP7_iProver_def,identity) = sP7_iProver_def,
    inference(light_normalisation,[status(thm)],[c_7311,c_326]) ).

cnf(c_7388,plain,
    multiply(identity,identity) = identity,
    inference(superposition,[status(thm)],[c_7325,c_75]) ).

cnf(c_7408,plain,
    ( sk_c7 != sP6_iProver_def
    | ~ sP2_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_1515,c_1519,c_1515,c_4186,c_4216]) ).

cnf(c_7431,plain,
    ( sP6_iProver_def != sP11_iProver_def
    | ~ sP2_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_348,c_7408]) ).

cnf(c_7432,plain,
    ( sP6_iProver_def != sP11_iProver_def
    | ~ sP2_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_347,c_7408]) ).

cnf(c_7495,plain,
    ( ~ sP2_iProver_def
    | sP6_iProver_def != sP11_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_7431,c_1519,c_7432,c_7431]) ).

cnf(c_7496,plain,
    ( sP6_iProver_def != sP11_iProver_def
    | ~ sP2_iProver_def ),
    inference(renaming,[status(thm)],[c_7495]) ).

cnf(c_7622,plain,
    ( sk_c6 != sP7_iProver_def
    | ~ sP1_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_2498,c_2502,c_2498,c_4266,c_5074]) ).

cnf(c_7643,plain,
    ( sP7_iProver_def != sP13_iProver_def
    | ~ sP1_iProver_def
    | sk_c6 = sP4_iProver_def ),
    inference(superposition,[status(thm)],[c_361,c_7622]) ).

cnf(c_7646,plain,
    ( sP7_iProver_def != sP13_iProver_def
    | ~ sP1_iProver_def
    | sk_c6 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_358,c_7622]) ).

cnf(c_7647,plain,
    ( sP7_iProver_def != sP13_iProver_def
    | ~ sP1_iProver_def
    | sk_c7 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_356,c_7622]) ).

cnf(c_7807,plain,
    ( ~ sP1_iProver_def
    | sk_c6 = sP4_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_7643,c_2502,c_4845,c_5351]) ).

cnf(c_7826,plain,
    ( ~ sP1_iProver_def
    | sk_c6 = sP8_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_7646,c_2502,c_4353,c_5170]) ).

cnf(c_7832,plain,
    ( ~ sP1_iProver_def
    | sk_c7 = sP5_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_7647,c_2502,c_4266,c_5074]) ).

cnf(c_7879,plain,
    ( multiply(sk_c7,multiply(sk_c7,sk_c7)) != sk_c6
    | inverse(inverse(sP4_iProver_def)) != sk_c7
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_6835,c_334]) ).

cnf(c_7881,plain,
    multiply(sk_c7,sP4_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_6835,c_75]) ).

cnf(c_7886,plain,
    multiply(sk_c7,multiply(sP4_iProver_def,X0)) = X0,
    inference(superposition,[status(thm)],[c_6835,c_6730]) ).

cnf(c_7887,plain,
    multiply(sk_c7,identity) = inverse(sP4_iProver_def),
    inference(superposition,[status(thm)],[c_6835,c_7302]) ).

cnf(c_7967,plain,
    ( multiply(sP11_iProver_def,sP4_iProver_def) = identity
    | sk_c7 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_344,c_7881]) ).

cnf(c_7971,plain,
    multiply(sk_c1,identity) = multiply(sP13_iProver_def,sP4_iProver_def),
    inference(superposition,[status(thm)],[c_7881,c_1729]) ).

cnf(c_8067,plain,
    inverse(sP4_iProver_def) = sk_c7,
    inference(demodulation,[status(thm)],[c_7887,c_7302]) ).

cnf(c_8111,plain,
    ( inverse(sP4_iProver_def) != sk_c7
    | sk_c7 != sk_c6
    | ~ sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_7886,c_334]) ).

cnf(c_8171,plain,
    ( sk_c7 != sk_c6
    | ~ sP3_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8111,c_8067]) ).

cnf(c_8500,plain,
    ( multiply(sk_c6,sP4_iProver_def) = multiply(sP6_iProver_def,identity)
    | sk_c7 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_7967,c_3658]) ).

cnf(c_8600,plain,
    ( sk_c7 != sP11_iProver_def
    | ~ sP0_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_342,c_2630]) ).

cnf(c_8601,plain,
    ( sk_c7 != sP11_iProver_def
    | ~ sP0_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_341,c_2630]) ).

cnf(c_8603,plain,
    ( sk_c7 != sP11_iProver_def
    | ~ sP0_iProver_def
    | sk_c7 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_338,c_2630]) ).

cnf(c_8796,plain,
    ( ~ sP0_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_8600,c_4216,c_8600]) ).

cnf(c_8915,plain,
    multiply(sP13_iProver_def,sP4_iProver_def) = sk_c1,
    inference(demodulation,[status(thm)],[c_7971,c_7302]) ).

cnf(c_8919,plain,
    multiply(inverse(sP13_iProver_def),sk_c1) = sP4_iProver_def,
    inference(superposition,[status(thm)],[c_8915,c_6730]) ).

cnf(c_8942,plain,
    ( ~ sP0_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_8601,c_4186,c_8601]) ).

cnf(c_8948,plain,
    ( ~ sP0_iProver_def
    | sk_c7 = sP5_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_8603,c_3589,c_8603]) ).

cnf(c_9752,plain,
    multiply(inverse(sP13_iProver_def),multiply(sk_c1,X0)) = multiply(sP4_iProver_def,X0),
    inference(superposition,[status(thm)],[c_8919,c_76]) ).

cnf(c_9765,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_6836,c_334]) ).

cnf(c_9766,plain,
    ( multiply(sk_c3,sk_c7) != sk_c6
    | inverse(inverse(sP10_iProver_def)) != sk_c7
    | ~ sP1_iProver_def ),
    inference(superposition,[status(thm)],[c_6836,c_336]) ).

cnf(c_9767,plain,
    multiply(sk_c3,sP10_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_6836,c_75]) ).

cnf(c_9771,plain,
    ( multiply(sk_c3,sk_c6) != sk_c7
    | inverse(inverse(sP10_iProver_def)) != sk_c7
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_6836,c_335]) ).

cnf(c_9773,plain,
    multiply(sk_c3,identity) = inverse(sP10_iProver_def),
    inference(superposition,[status(thm)],[c_6836,c_7302]) ).

cnf(c_10348,plain,
    inverse(sP10_iProver_def) = sk_c3,
    inference(demodulation,[status(thm)],[c_9773,c_7302]) ).

cnf(c_10729,plain,
    multiply(inverse(sP13_iProver_def),sP13_iProver_def) = multiply(sP4_iProver_def,sk_c7),
    inference(superposition,[status(thm)],[c_332,c_9752]) ).

cnf(c_10745,plain,
    multiply(inverse(sP13_iProver_def),multiply(sP13_iProver_def,sk_c5)) = multiply(sP4_iProver_def,sP8_iProver_def),
    inference(superposition,[status(thm)],[c_5522,c_9752]) ).

cnf(c_10746,plain,
    multiply(inverse(sP13_iProver_def),sk_c1) = multiply(sP4_iProver_def,identity),
    inference(superposition,[status(thm)],[c_7302,c_9752]) ).

cnf(c_10750,plain,
    multiply(inverse(sP13_iProver_def),sP13_iProver_def) = identity,
    inference(light_normalisation,[status(thm)],[c_10729,c_873]) ).

cnf(c_10751,plain,
    multiply(inverse(sP13_iProver_def),multiply(sP13_iProver_def,sk_c5)) = sk_c5,
    inference(light_normalisation,[status(thm)],[c_10745,c_3448]) ).

cnf(c_10803,plain,
    ( sk_c6 != sP10_iProver_def
    | ~ sP0_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_2634,c_2634,c_8942]) ).

cnf(c_10828,plain,
    ( sP10_iProver_def != sP13_iProver_def
    | ~ sP0_iProver_def
    | sk_c6 = sP8_iProver_def ),
    inference(superposition,[status(thm)],[c_358,c_10803]) ).

cnf(c_10881,plain,
    multiply(sk_c4,sP5_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_6837,c_75]) ).

cnf(c_11020,plain,
    ( ~ sP0_iProver_def
    | sk_c6 = sP8_iProver_def ),
    inference(global_subsumption_just,[status(thm)],[c_10828,c_2630,c_4053,c_4156]) ).

cnf(c_11563,plain,
    multiply(sk_c1,sP12_iProver_def) = identity,
    inference(superposition,[status(thm)],[c_6838,c_75]) ).

cnf(c_11567,plain,
    ( multiply(sk_c1,sk_c6) != sk_c7
    | inverse(inverse(sP12_iProver_def)) != sk_c7
    | ~ sP2_iProver_def ),
    inference(superposition,[status(thm)],[c_6838,c_335]) ).

cnf(c_11569,plain,
    multiply(sk_c1,identity) = inverse(sP12_iProver_def),
    inference(superposition,[status(thm)],[c_6838,c_7302]) ).

cnf(c_11715,plain,
    ( multiply(sP4_iProver_def,sk_c7) = sP13_iProver_def
    | sk_c7 = sP10_iProver_def ),
    inference(superposition,[status(thm)],[c_3405,c_3457]) ).

cnf(c_11752,plain,
    ( multiply(sP4_iProver_def,sk_c7) = sP13_iProver_def
    | sk_c7 = sP9_iProver_def ),
    inference(superposition,[status(thm)],[c_3405,c_3458]) ).

cnf(c_11787,plain,
    ( multiply(sP4_iProver_def,identity) = sk_c1
    | sk_c7 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_876,c_3459]) ).

cnf(c_11789,plain,
    ( multiply(sP4_iProver_def,sk_c7) = sP13_iProver_def
    | sk_c7 = sP5_iProver_def ),
    inference(superposition,[status(thm)],[c_3405,c_3459]) ).

cnf(c_11924,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_11789,c_11787,c_11752,c_11715,c_11567,c_11569,c_11563,c_11020,c_10881,c_10803,c_10751,c_10750,c_10746,c_10745,c_10729,c_10348,c_9771,c_9766,c_9765,c_9767,c_8948,c_8919,c_8915,c_8796,c_8500,c_8171,c_8067,c_7971,c_7879,c_7887,c_7881,c_7832,c_7826,c_7807,c_7496,c_7334,c_7333,c_7330,c_7328,c_7326,c_7320,c_7319,c_7318,c_7316,c_7312,c_7311,c_7325,c_6872,c_6828,c_6824,c_6793,c_6789,c_6769,c_6754,c_6752,c_6751,c_4845,c_4266,c_4216,c_4186,c_3589,c_3544,c_2630,c_2610,c_2479,c_1519,c_1371,c_1369,c_1368,c_7388,c_604,c_343,c_342,c_341,c_340,c_339,c_338,c_333,c_331,c_329,c_323]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GRP216-1 : TPTP v8.2.0. Released v2.5.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Jun 20 08:00:54 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  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
% 4.14/1.17  % SZS status Started for theBenchmark.p
% 4.14/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 4.14/1.17  
% 4.14/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.14/1.17  
% 4.14/1.17  ------  iProver source info
% 4.14/1.17  
% 4.14/1.17  git: date: 2024-06-12 09:56:46 +0000
% 4.14/1.17  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 4.14/1.17  git: non_committed_changes: false
% 4.14/1.17  
% 4.14/1.17  ------ Parsing...successful
% 4.14/1.17  
% 4.14/1.17  
% 4.14/1.17  
% 4.14/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 4.14/1.17  
% 4.14/1.17  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.14/1.17  
% 4.14/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 4.14/1.17  ------ Proving...
% 4.14/1.17  ------ Problem Properties 
% 4.14/1.17  
% 4.14/1.17  
% 4.14/1.17  clauses                                 42
% 4.14/1.17  conjectures                             29
% 4.14/1.17  EPR                                     25
% 4.14/1.17  Horn                                    17
% 4.14/1.17  unary                                   13
% 4.14/1.17  binary                                  24
% 4.14/1.17  lits                                    78
% 4.14/1.17  lits eq                                 70
% 4.14/1.17  fd_pure                                 0
% 4.14/1.17  fd_pseudo                               0
% 4.14/1.17  fd_cond                                 0
% 4.14/1.17  fd_pseudo_cond                          0
% 4.14/1.17  AC symbols                              0
% 4.14/1.17  
% 4.14/1.17  ------ Schedule dynamic 5 is on 
% 4.14/1.17  
% 4.14/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.14/1.17  
% 4.14/1.17  
% 4.14/1.17  ------ 
% 4.14/1.17  Current options:
% 4.14/1.17  ------ 
% 4.14/1.17  
% 4.14/1.17  
% 4.14/1.17  
% 4.14/1.17  
% 4.14/1.17  ------ Proving...
% 4.14/1.17  
% 4.14/1.17  
% 4.14/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 4.14/1.17  
% 4.14/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.14/1.17  
% 4.14/1.17  
%------------------------------------------------------------------------------