TSTP Solution File: GRP255-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GRP255-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 : Thu Aug 31 00:58:56 EDT 2023

% Result   : Unsatisfiable 9.64s 2.02s
% Output   : CNFRefutation 9.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   48
%            Number of leaves      :   37
% Syntax   : Number of clauses     :  434 (  71 unt; 211 nHn; 373 RR)
%            Number of literals    : 1013 ( 867 equ; 350 neg)
%            Maximal clause size   :   11 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   6 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :  170 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

cnf(c_50,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

cnf(c_51,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | multiply(sk_c4,sk_c7) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

cnf(c_52,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | inverse(sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

cnf(c_53,negated_conjecture,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | multiply(sk_c5,sk_c6) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

cnf(c_54,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

cnf(c_55,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

cnf(c_56,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

cnf(c_57,negated_conjecture,
    ( inverse(sk_c1) = sk_c8
    | inverse(sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

cnf(c_58,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

cnf(c_59,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | multiply(sk_c2,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

cnf(c_60,negated_conjecture,
    ( multiply(sk_c2,sk_c7) = sk_c6
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

cnf(c_61,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | multiply(sk_c2,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

cnf(c_62,negated_conjecture,
    ( multiply(sk_c2,sk_c7) = sk_c6
    | inverse(sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

cnf(c_63,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | multiply(sk_c2,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

cnf(c_64,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

cnf(c_65,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

cnf(c_66,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

cnf(c_67,negated_conjecture,
    ( inverse(sk_c5) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

cnf(c_68,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

cnf(c_69,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | inverse(sk_c3) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

cnf(c_70,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c3) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

cnf(c_71,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | inverse(sk_c3) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

cnf(c_72,negated_conjecture,
    ( inverse(sk_c5) = sk_c7
    | inverse(sk_c3) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

cnf(c_73,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | inverse(sk_c3) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

cnf(c_74,negated_conjecture,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | multiply(sk_c3,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

cnf(c_75,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c6
    | inverse(sk_c4) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

cnf(c_76,negated_conjecture,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | multiply(sk_c3,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

cnf(c_77,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c6
    | inverse(sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

cnf(c_78,negated_conjecture,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | multiply(sk_c3,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

cnf(c_79,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c7
    | multiply(X1,sk_c7) != sk_c6
    | multiply(X2,sk_c8) != sk_c6
    | multiply(X3,sk_c7) != sk_c8
    | multiply(X4,sk_c6) != sk_c7
    | multiply(sk_c7,sk_c8) != sk_c6
    | inverse(X0) != sk_c8
    | inverse(X1) != sk_c7
    | inverse(X2) != sk_c6
    | inverse(X3) != sk_c8
    | inverse(X4) != sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

cnf(c_80,plain,
    multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(c_81,plain,
    multiply(inverse(X0),X0) = identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(c_82,plain,
    multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(c_379,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c6
    | inverse(X0) != sk_c6
    | ~ sP0_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_split])],[c_79]) ).

cnf(c_380,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c8
    | inverse(X0) != sk_c8
    | ~ sP1_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_split])],[c_79]) ).

cnf(c_381,negated_conjecture,
    ( multiply(X0,sk_c7) != sk_c6
    | inverse(X0) != sk_c7
    | ~ sP2_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP2_iProver_split])],[c_79]) ).

cnf(c_382,negated_conjecture,
    ( multiply(X0,sk_c6) != sk_c7
    | inverse(X0) != sk_c7
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_79]) ).

cnf(c_383,negated_conjecture,
    ( multiply(X0,sk_c8) != sk_c7
    | inverse(X0) != sk_c8
    | ~ sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP4_iProver_split])],[c_79]) ).

cnf(c_384,negated_conjecture,
    ( multiply(sk_c7,sk_c8) != sk_c6
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_79]) ).

cnf(c_385,plain,
    X0 = X0,
    theory(equality) ).

cnf(c_386,plain,
    ( X0 != X1
    | X2 != X1
    | X2 = X0 ),
    theory(equality) ).

cnf(c_387,plain,
    ( X0 != X1
    | X2 != X3
    | multiply(X0,X2) = multiply(X1,X3) ),
    theory(equality) ).

cnf(c_391,plain,
    sk_c7 = sk_c7,
    inference(instantiation,[status(thm)],[c_385]) ).

cnf(c_751,plain,
    ( inverse(sk_c3) = sk_c6
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(superposition,[status(thm)],[c_69,c_384]) ).

cnf(c_752,plain,
    ( inverse(sk_c2) = sk_c7
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(superposition,[status(thm)],[c_64,c_384]) ).

cnf(c_789,plain,
    ( inverse(sk_c3) != sk_c6
    | ~ sP0_iProver_split
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_77,c_379]) ).

cnf(c_790,plain,
    ( inverse(sk_c3) != sk_c6
    | ~ sP0_iProver_split
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_75,c_379]) ).

cnf(c_849,plain,
    ( inverse(sk_c4) != sk_c8
    | ~ sP1_iProver_split
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_71,c_380]) ).

cnf(c_850,plain,
    ( inverse(sk_c4) != sk_c8
    | ~ sP1_iProver_split
    | inverse(sk_c2) = sk_c7 ),
    inference(superposition,[status(thm)],[c_66,c_380]) ).

cnf(c_855,plain,
    ( inverse(sk_c2) != sk_c8
    | sk_c8 != sk_c6
    | ~ sP1_iProver_split
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_62,c_380]) ).

cnf(c_900,plain,
    ( inverse(sk_c4) != sk_c7
    | sk_c8 != sk_c6
    | ~ sP2_iProver_split
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_71,c_381]) ).

cnf(c_901,plain,
    ( inverse(sk_c4) != sk_c7
    | sk_c8 != sk_c6
    | ~ sP2_iProver_split
    | inverse(sk_c2) = sk_c7 ),
    inference(superposition,[status(thm)],[c_66,c_381]) ).

cnf(c_906,plain,
    ( inverse(sk_c2) != sk_c7
    | ~ sP2_iProver_split
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_62,c_381]) ).

cnf(c_907,plain,
    ( inverse(sk_c2) != sk_c7
    | ~ sP2_iProver_split
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_60,c_381]) ).

cnf(c_909,plain,
    ( inverse(inverse(sk_c7)) != sk_c7
    | sk_c6 != identity
    | ~ sP2_iProver_split ),
    inference(superposition,[status(thm)],[c_81,c_381]) ).

cnf(c_951,plain,
    ( inverse(X0) != X1
    | X2 != X1
    | inverse(X0) = X2 ),
    inference(instantiation,[status(thm)],[c_386]) ).

cnf(c_959,plain,
    ( inverse(sk_c5) != sk_c7
    | ~ sP3_iProver_split
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_73,c_382]) ).

cnf(c_960,plain,
    ( inverse(sk_c5) != sk_c7
    | ~ sP3_iProver_split
    | inverse(sk_c2) = sk_c7 ),
    inference(superposition,[status(thm)],[c_68,c_382]) ).

cnf(c_962,plain,
    ( inverse(identity) != sk_c7
    | sk_c7 != sk_c6
    | ~ sP3_iProver_split ),
    inference(superposition,[status(thm)],[c_80,c_382]) ).

cnf(c_991,plain,
    ( multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_52,c_82]) ).

cnf(c_992,plain,
    ( multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_50,c_82]) ).

cnf(c_996,plain,
    ( multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_71,c_82]) ).

cnf(c_997,plain,
    ( multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
    | inverse(sk_c2) = sk_c7 ),
    inference(superposition,[status(thm)],[c_66,c_82]) ).

cnf(c_999,plain,
    ( multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_73,c_82]) ).

cnf(c_1000,plain,
    ( multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
    | inverse(sk_c2) = sk_c7 ),
    inference(superposition,[status(thm)],[c_68,c_82]) ).

cnf(c_1001,plain,
    ( multiply(sk_c5,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
    | inverse(sk_c1) = sk_c8 ),
    inference(superposition,[status(thm)],[c_58,c_82]) ).

cnf(c_1005,plain,
    ( multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_62,c_82]) ).

cnf(c_1006,plain,
    ( multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_60,c_82]) ).

cnf(c_1013,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_81,c_82]) ).

cnf(c_1024,plain,
    ( multiply(X0,multiply(X1,sk_c7)) != sk_c8
    | inverse(multiply(X0,X1)) != sk_c8
    | ~ sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_82,c_380]) ).

cnf(c_1140,plain,
    ( inverse(X0) != X1
    | sk_c6 != X1
    | sk_c6 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

cnf(c_1145,plain,
    ( inverse(sk_c5) != sk_c7
    | X0 != sk_c7
    | inverse(sk_c5) = X0 ),
    inference(instantiation,[status(thm)],[c_951]) ).

cnf(c_1152,plain,
    ( sk_c8 != X0
    | sk_c6 != X0
    | sk_c6 = sk_c8 ),
    inference(instantiation,[status(thm)],[c_386]) ).

cnf(c_1154,plain,
    ( sk_c7 != X0
    | sk_c6 != X0
    | sk_c6 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_386]) ).

cnf(c_1156,plain,
    ( X0 != X1
    | sk_c8 != X1
    | sk_c8 = X0 ),
    inference(instantiation,[status(thm)],[c_386]) ).

cnf(c_1157,plain,
    ( sk_c7 != sk_c6
    | sk_c6 != sk_c6
    | sk_c6 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_1154]) ).

cnf(c_1158,plain,
    sk_c6 = sk_c6,
    inference(instantiation,[status(thm)],[c_385]) ).

cnf(c_1165,plain,
    multiply(identity,sk_c8) = sk_c8,
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_1167,plain,
    ( X0 != X1
    | sk_c8 != X1
    | X0 = sk_c8 ),
    inference(instantiation,[status(thm)],[c_386]) ).

cnf(c_1168,plain,
    ( sk_c8 != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = sk_c8 ),
    inference(instantiation,[status(thm)],[c_1167]) ).

cnf(c_1170,plain,
    ( inverse(sk_c5) != X0
    | X1 != X0
    | inverse(sk_c5) = X1 ),
    inference(instantiation,[status(thm)],[c_951]) ).

cnf(c_1179,plain,
    multiply(identity,inverse(X0)) = inverse(X0),
    inference(instantiation,[status(thm)],[c_80]) ).

cnf(c_1183,plain,
    ( inverse(X0) != X1
    | X2 != X1
    | X2 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_386]) ).

cnf(c_1194,plain,
    ( sP2_iProver_split
    | inverse(sk_c3) = sk_c6
    | sP0_iProver_split
    | sP4_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_751,c_72,c_70,c_751,c_849,c_959]) ).

cnf(c_1195,plain,
    ( inverse(sk_c3) = sk_c6
    | sP0_iProver_split
    | sP2_iProver_split
    | sP4_iProver_split ),
    inference(renaming,[status(thm)],[c_1194]) ).

cnf(c_1204,plain,
    ( sP2_iProver_split
    | inverse(sk_c2) = sk_c7
    | sP0_iProver_split
    | sP4_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_752,c_67,c_65,c_64,c_384,c_850,c_960]) ).

cnf(c_1205,plain,
    ( inverse(sk_c2) = sk_c7
    | sP0_iProver_split
    | sP2_iProver_split
    | sP4_iProver_split ),
    inference(renaming,[status(thm)],[c_1204]) ).

cnf(c_1227,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_1013,c_80]) ).

cnf(c_1237,plain,
    ( multiply(inverse(sk_c1),sk_c7) = sk_c8
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_52,c_1227]) ).

cnf(c_1239,plain,
    ( multiply(inverse(sk_c7),sk_c6) = sk_c8
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_69,c_1227]) ).

cnf(c_1240,plain,
    ( multiply(inverse(sk_c7),sk_c6) = sk_c8
    | inverse(sk_c2) = sk_c7 ),
    inference(superposition,[status(thm)],[c_64,c_1227]) ).

cnf(c_1241,plain,
    ( multiply(inverse(sk_c7),sk_c6) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    inference(superposition,[status(thm)],[c_54,c_1227]) ).

cnf(c_1242,plain,
    ( multiply(inverse(sk_c4),sk_c8) = sk_c7
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_71,c_1227]) ).

cnf(c_1243,plain,
    ( multiply(inverse(sk_c4),sk_c8) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    inference(superposition,[status(thm)],[c_66,c_1227]) ).

cnf(c_1244,plain,
    ( multiply(inverse(sk_c4),sk_c8) = sk_c7
    | inverse(sk_c1) = sk_c8 ),
    inference(superposition,[status(thm)],[c_56,c_1227]) ).

cnf(c_1251,plain,
    ( multiply(inverse(sk_c2),sk_c6) = sk_c7
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_62,c_1227]) ).

cnf(c_1252,plain,
    ( multiply(inverse(sk_c2),sk_c6) = sk_c7
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_60,c_1227]) ).

cnf(c_1256,plain,
    ( multiply(inverse(sk_c3),sk_c6) = sk_c8
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_77,c_1227]) ).

cnf(c_1257,plain,
    ( multiply(inverse(sk_c3),sk_c6) = sk_c8
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_75,c_1227]) ).

cnf(c_1258,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_80,c_1227]) ).

cnf(c_1259,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_81,c_1227]) ).

cnf(c_1260,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
    inference(superposition,[status(thm)],[c_82,c_1227]) ).

cnf(c_1267,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_1227,c_1227]) ).

cnf(c_1354,plain,
    ( sk_c7 != X0
    | sk_c6 != X0
    | sk_c7 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_386]) ).

cnf(c_1358,plain,
    ( inverse(X0) != sk_c6
    | sk_c6 != sk_c6
    | sk_c6 = inverse(X0) ),
    inference(instantiation,[status(thm)],[c_1140]) ).

cnf(c_1360,plain,
    ( X0 != sk_c8
    | sk_c8 != sk_c8
    | sk_c8 = X0 ),
    inference(instantiation,[status(thm)],[c_1156]) ).

cnf(c_1361,plain,
    sk_c8 = sk_c8,
    inference(instantiation,[status(thm)],[c_385]) ).

cnf(c_1375,plain,
    ( inverse(sk_c5) != sk_c7
    | X0 != sk_c7
    | X0 = inverse(sk_c5) ),
    inference(instantiation,[status(thm)],[c_1183]) ).

cnf(c_1376,plain,
    ( inverse(sk_c5) != sk_c7
    | sk_c7 != sk_c7
    | sk_c7 = inverse(sk_c5) ),
    inference(instantiation,[status(thm)],[c_1375]) ).

cnf(c_1381,plain,
    ( inverse(sk_c5) != X0
    | X1 != X0
    | X1 = inverse(sk_c5) ),
    inference(instantiation,[status(thm)],[c_1183]) ).

cnf(c_1407,plain,
    ( inverse(sk_c5) != X0
    | sk_c8 != X0
    | inverse(sk_c5) = sk_c8 ),
    inference(instantiation,[status(thm)],[c_1170]) ).

cnf(c_1502,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_1259,c_1267]) ).

cnf(c_1510,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_1502,c_1258]) ).

cnf(c_1541,plain,
    ( inverse(sk_c1) != sk_c8
    | ~ sP4_iProver_split
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_52,c_383]) ).

cnf(c_1542,plain,
    ( inverse(sk_c1) != sk_c8
    | ~ sP4_iProver_split
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_50,c_383]) ).

cnf(c_1551,plain,
    ( inverse(identity) != sk_c8
    | sk_c8 != sk_c7
    | ~ sP4_iProver_split ),
    inference(superposition,[status(thm)],[c_80,c_383]) ).

cnf(c_1552,plain,
    ( inverse(inverse(sk_c8)) != sk_c8
    | sk_c7 != identity
    | ~ sP4_iProver_split ),
    inference(superposition,[status(thm)],[c_81,c_383]) ).

cnf(c_1554,plain,
    ( sk_c8 != sk_c7
    | sk_c8 != identity
    | ~ sP4_iProver_split ),
    inference(light_normalisation,[status(thm)],[c_1551,c_1510]) ).

cnf(c_1623,plain,
    ( multiply(sk_c4,sk_c7) != X0
    | inverse(sk_c5) != X0
    | inverse(sk_c5) = multiply(sk_c4,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1170]) ).

cnf(c_1778,plain,
    ( inverse(sk_c5) != X0
    | sk_c8 != X0
    | sk_c8 = inverse(sk_c5) ),
    inference(instantiation,[status(thm)],[c_1381]) ).

cnf(c_1779,plain,
    ( X0 != inverse(sk_c5)
    | sk_c8 != inverse(sk_c5)
    | sk_c8 = X0 ),
    inference(instantiation,[status(thm)],[c_1156]) ).

cnf(c_1782,plain,
    ( sk_c8 != inverse(sk_c5)
    | sk_c7 != inverse(sk_c5)
    | sk_c8 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_1779]) ).

cnf(c_1787,plain,
    ( multiply(sk_c8,sk_c7) = sk_c8
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_57,c_1237]) ).

cnf(c_1885,plain,
    ( multiply(inverse(sk_c8),sk_c8) = sk_c7
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_1787,c_1227]) ).

cnf(c_1928,plain,
    ( multiply(identity,sk_c8) != X0
    | X1 != X0
    | X1 = multiply(identity,sk_c8) ),
    inference(instantiation,[status(thm)],[c_386]) ).

cnf(c_2054,plain,
    ( multiply(identity,inverse(X0)) != X1
    | X2 != X1
    | X2 = multiply(identity,inverse(X0)) ),
    inference(instantiation,[status(thm)],[c_386]) ).

cnf(c_2057,plain,
    ( X0 != identity
    | X1 != inverse(X2)
    | multiply(X0,X1) = multiply(identity,inverse(X2)) ),
    inference(instantiation,[status(thm)],[c_387]) ).

cnf(c_2118,plain,
    multiply(X0,inverse(X0)) = identity,
    inference(superposition,[status(thm)],[c_1267,c_81]) ).

cnf(c_2124,plain,
    multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(superposition,[status(thm)],[c_1267,c_1227]) ).

cnf(c_2125,plain,
    multiply(X0,identity) = inverse(inverse(X0)),
    inference(superposition,[status(thm)],[c_1267,c_1502]) ).

cnf(c_2126,plain,
    inverse(inverse(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_2125,c_1502]) ).

cnf(c_2156,plain,
    inverse(inverse(sk_c7)) = sk_c7,
    inference(instantiation,[status(thm)],[c_2126]) ).

cnf(c_2185,plain,
    ( multiply(sk_c4,sk_c7) != sk_c8
    | sk_c8 != sk_c8
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1360]) ).

cnf(c_2193,plain,
    ( multiply(identity,sk_c8) != sk_c8
    | sk_c8 != sk_c8
    | sk_c8 = multiply(identity,sk_c8) ),
    inference(instantiation,[status(thm)],[c_1360]) ).

cnf(c_2200,plain,
    ( X0 != X1
    | sk_c6 != X1
    | X0 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_386]) ).

cnf(c_2225,plain,
    ( inverse(sk_c6) = sk_c3
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_72,c_2126]) ).

cnf(c_2260,plain,
    ( multiply(sk_c1,sk_c8) = identity
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_57,c_2118]) ).

cnf(c_2261,plain,
    ( multiply(sk_c1,sk_c8) = identity
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_55,c_2118]) ).

cnf(c_2262,plain,
    ( multiply(sk_c2,sk_c7) = identity
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_67,c_2118]) ).

cnf(c_2263,plain,
    ( multiply(sk_c2,sk_c7) = identity
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_65,c_2118]) ).

cnf(c_2271,plain,
    multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) = identity,
    inference(superposition,[status(thm)],[c_2118,c_82]) ).

cnf(c_2465,plain,
    ( inverse(sk_c7) = sk_c5
    | inverse(sk_c6) = sk_c3 ),
    inference(superposition,[status(thm)],[c_2225,c_2126]) ).

cnf(c_2528,plain,
    ( multiply(sk_c4,sk_c7) != X0
    | sk_c7 != X0
    | multiply(sk_c4,sk_c7) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_386]) ).

cnf(c_2541,plain,
    ( inverse(sk_c5) = sk_c7
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_2260,c_52]) ).

cnf(c_2546,plain,
    ( multiply(sk_c1,multiply(sk_c8,X0)) = multiply(identity,X0)
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_2260,c_82]) ).

cnf(c_2551,plain,
    ( multiply(sk_c1,multiply(sk_c8,X0)) = X0
    | inverse(sk_c5) = sk_c7 ),
    inference(light_normalisation,[status(thm)],[c_2546,c_80]) ).

cnf(c_2571,plain,
    ( multiply(identity,sk_c8) != X0
    | sk_c7 != X0
    | multiply(identity,sk_c8) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_386]) ).

cnf(c_2580,plain,
    ( inverse(sk_c5) != multiply(sk_c4,sk_c7)
    | sk_c8 != multiply(sk_c4,sk_c7)
    | inverse(sk_c5) = sk_c8 ),
    inference(instantiation,[status(thm)],[c_1407]) ).

cnf(c_2724,plain,
    ( inverse(sk_c4) = sk_c8
    | sk_c7 = identity ),
    inference(superposition,[status(thm)],[c_2261,c_50]) ).

cnf(c_2728,plain,
    ( multiply(sk_c1,multiply(sk_c8,X0)) = multiply(identity,X0)
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_2261,c_82]) ).

cnf(c_2733,plain,
    ( multiply(sk_c1,multiply(sk_c8,X0)) = X0
    | inverse(sk_c4) = sk_c8 ),
    inference(light_normalisation,[status(thm)],[c_2728,c_80]) ).

cnf(c_2801,plain,
    ( X0 != multiply(identity,sk_c8)
    | sk_c8 != multiply(identity,sk_c8)
    | sk_c8 = X0 ),
    inference(instantiation,[status(thm)],[c_1156]) ).

cnf(c_2802,plain,
    ( X0 != multiply(identity,sk_c8)
    | sk_c8 != multiply(identity,sk_c8)
    | X0 = sk_c8 ),
    inference(instantiation,[status(thm)],[c_1167]) ).

cnf(c_2804,plain,
    ( sk_c8 != multiply(identity,sk_c8)
    | sk_c7 != multiply(identity,sk_c8)
    | sk_c8 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_2801]) ).

cnf(c_2847,plain,
    ( multiply(sk_c2,multiply(sk_c7,X0)) = X0
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_67,c_2124]) ).

cnf(c_2848,plain,
    ( multiply(sk_c2,multiply(sk_c7,X0)) = X0
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_65,c_2124]) ).

cnf(c_2907,plain,
    ( multiply(sk_c4,sk_c7) != X0
    | X1 != X0
    | multiply(sk_c4,sk_c7) = X1 ),
    inference(instantiation,[status(thm)],[c_386]) ).

cnf(c_2908,plain,
    ( multiply(sk_c4,sk_c7) != multiply(X0,X1)
    | inverse(sk_c5) != multiply(X0,X1)
    | inverse(sk_c5) = multiply(sk_c4,sk_c7) ),
    inference(instantiation,[status(thm)],[c_1623]) ).

cnf(c_2980,plain,
    ( inverse(sk_c5) != sk_c8
    | sk_c8 != sk_c8
    | sk_c8 = inverse(sk_c5) ),
    inference(instantiation,[status(thm)],[c_1778]) ).

cnf(c_3034,plain,
    ( multiply(identity,sk_c8) != X0
    | X1 != X0
    | multiply(identity,sk_c8) = X1 ),
    inference(instantiation,[status(thm)],[c_386]) ).

cnf(c_3057,plain,
    ( inverse(sk_c5) = sk_c7
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_2262,c_62]) ).

cnf(c_3110,plain,
    ( inverse(sk_c4) = sk_c8
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_2263,c_60]) ).

cnf(c_3200,plain,
    multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[status(thm)],[c_81,c_82]) ).

cnf(c_3571,plain,
    ( multiply(sk_c1,multiply(sk_c8,inverse(sk_c7))) = identity
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_52,c_2271]) ).

cnf(c_3572,plain,
    ( multiply(sk_c1,multiply(sk_c8,inverse(sk_c7))) = identity
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_50,c_2271]) ).

cnf(c_3587,plain,
    ( multiply(sk_c2,multiply(sk_c7,inverse(sk_c6))) = identity
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_62,c_2271]) ).

cnf(c_3820,plain,
    ( multiply(identity,inverse(X0)) != inverse(X0)
    | X1 != inverse(X0)
    | X1 = multiply(identity,inverse(X0)) ),
    inference(instantiation,[status(thm)],[c_2054]) ).

cnf(c_3841,plain,
    ( X0 != identity
    | X1 != inverse(sk_c5)
    | multiply(X0,X1) = multiply(identity,inverse(sk_c5)) ),
    inference(instantiation,[status(thm)],[c_2057]) ).

cnf(c_4267,plain,
    ( multiply(sk_c7,sk_c6) = sk_c7
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_67,c_1251]) ).

cnf(c_4271,plain,
    ( inverse(inverse(sk_c2)) != sk_c7
    | ~ sP3_iProver_split
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_1251,c_382]) ).

cnf(c_4290,plain,
    multiply(identity,inverse(sk_c5)) = inverse(sk_c5),
    inference(instantiation,[status(thm)],[c_1179]) ).

cnf(c_4313,plain,
    ( inverse(sk_c7) != sk_c7
    | ~ sP3_iProver_split
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_4267,c_382]) ).

cnf(c_4328,plain,
    identity = identity,
    inference(instantiation,[status(thm)],[c_385]) ).

cnf(c_4329,plain,
    ( X0 != X1
    | identity != X1
    | X0 = identity ),
    inference(instantiation,[status(thm)],[c_386]) ).

cnf(c_4332,plain,
    ( inverse(sk_c5) != sk_c7
    | identity != sk_c7
    | inverse(sk_c5) = identity ),
    inference(instantiation,[status(thm)],[c_1145]) ).

cnf(c_4339,plain,
    ( multiply(sk_c7,sk_c6) = sk_c7
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_65,c_1252]) ).

cnf(c_4342,plain,
    ( inverse(inverse(sk_c2)) != sk_c7
    | ~ sP3_iProver_split
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_1252,c_382]) ).

cnf(c_4360,plain,
    ( inverse(sk_c7) != sk_c7
    | ~ sP3_iProver_split
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_4339,c_382]) ).

cnf(c_4383,plain,
    ( multiply(sk_c6,sk_c6) = sk_c8
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_72,c_1256]) ).

cnf(c_4403,plain,
    multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(demodulation,[status(thm)],[c_3200,c_80]) ).

cnf(c_4434,plain,
    multiply(inverse(identity),X0) = X0,
    inference(superposition,[status(thm)],[c_80,c_4403]) ).

cnf(c_4435,plain,
    multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[status(thm)],[c_81,c_4403]) ).

cnf(c_4443,plain,
    multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
    inference(superposition,[status(thm)],[c_4403,c_4403]) ).

cnf(c_4862,plain,
    ( multiply(sk_c6,sk_c6) = sk_c8
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_70,c_1257]) ).

cnf(c_4914,plain,
    ( multiply(sk_c4,sk_c7) != sk_c8
    | sk_c7 != sk_c8
    | multiply(sk_c4,sk_c7) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_2528]) ).

cnf(c_4944,plain,
    ( ~ sP0_iProver_split
    | inverse(sk_c5) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_789,c_72,c_789]) ).

cnf(c_4950,plain,
    ( ~ sP0_iProver_split
    | inverse(sk_c4) = sk_c8 ),
    inference(global_subsumption_just,[status(thm)],[c_790,c_70,c_790]) ).

cnf(c_5288,plain,
    ( ~ sP2_iProver_split
    | inverse(sk_c5) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_906,c_909,c_2156,c_3057]) ).

cnf(c_5304,plain,
    ( ~ sP2_iProver_split
    | inverse(sk_c4) = sk_c8 ),
    inference(global_subsumption_just,[status(thm)],[c_907,c_909,c_2156,c_3110]) ).

cnf(c_5537,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != identity
    | ~ sP3_iProver_split ),
    inference(light_normalisation,[status(thm)],[c_962,c_1510]) ).

cnf(c_5976,plain,
    multiply(X0,identity) = X0,
    inference(demodulation,[status(thm)],[c_4435,c_4443]) ).

cnf(c_5984,plain,
    inverse(identity) = identity,
    inference(superposition,[status(thm)],[c_5976,c_4434]) ).

cnf(c_6378,plain,
    ( ~ sP4_iProver_split
    | inverse(sk_c5) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_1541,c_57,c_1541]) ).

cnf(c_6387,plain,
    ( ~ sP4_iProver_split
    | inverse(sk_c4) = sk_c8 ),
    inference(global_subsumption_just,[status(thm)],[c_1542,c_55,c_1542]) ).

cnf(c_6549,plain,
    ( multiply(sk_c4,sk_c7) != sk_c8
    | X0 != sk_c8
    | multiply(sk_c4,sk_c7) = X0 ),
    inference(instantiation,[status(thm)],[c_2907]) ).

cnf(c_6564,plain,
    ( multiply(X0,X1) != sk_c7
    | inverse(sk_c5) != sk_c7
    | inverse(sk_c5) = multiply(X0,X1) ),
    inference(instantiation,[status(thm)],[c_1145]) ).

cnf(c_6655,plain,
    ( multiply(identity,sk_c8) != sk_c8
    | X0 != sk_c8
    | multiply(identity,sk_c8) = X0 ),
    inference(instantiation,[status(thm)],[c_3034]) ).

cnf(c_6974,plain,
    multiply(inverse(multiply(X0,X1)),multiply(X0,identity)) = inverse(X1),
    inference(superposition,[status(thm)],[c_2118,c_1260]) ).

cnf(c_7006,plain,
    multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
    inference(light_normalisation,[status(thm)],[c_6974,c_1502]) ).

cnf(c_7795,plain,
    ( X0 != X1
    | identity != X1
    | identity = X0 ),
    inference(instantiation,[status(thm)],[c_386]) ).

cnf(c_7878,plain,
    ( multiply(identity,inverse(sk_c5)) != inverse(sk_c5)
    | X0 != inverse(sk_c5)
    | X0 = multiply(identity,inverse(sk_c5)) ),
    inference(instantiation,[status(thm)],[c_3820]) ).

cnf(c_7879,plain,
    ( multiply(identity,inverse(sk_c5)) != inverse(sk_c5)
    | sk_c7 != inverse(sk_c5)
    | sk_c7 = multiply(identity,inverse(sk_c5)) ),
    inference(instantiation,[status(thm)],[c_7878]) ).

cnf(c_8497,plain,
    ( sk_c7 != inverse(sk_c5)
    | sk_c4 != identity
    | multiply(sk_c4,sk_c7) = multiply(identity,inverse(sk_c5)) ),
    inference(instantiation,[status(thm)],[c_3841]) ).

cnf(c_8500,plain,
    ( multiply(sk_c4,sk_c7) != multiply(identity,inverse(sk_c5))
    | sk_c7 != multiply(identity,inverse(sk_c5))
    | multiply(sk_c4,sk_c7) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_2528]) ).

cnf(c_8549,plain,
    ( multiply(inverse(sk_c6),sk_c7) = inverse(sk_c8)
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_69,c_7006]) ).

cnf(c_8550,plain,
    ( multiply(inverse(sk_c6),sk_c7) = inverse(sk_c8)
    | inverse(sk_c2) = sk_c7 ),
    inference(superposition,[status(thm)],[c_64,c_7006]) ).

cnf(c_8551,plain,
    ( multiply(inverse(sk_c6),sk_c7) = inverse(sk_c8)
    | inverse(sk_c1) = sk_c8 ),
    inference(superposition,[status(thm)],[c_54,c_7006]) ).

cnf(c_8561,plain,
    ( multiply(inverse(sk_c6),sk_c2) = inverse(sk_c7)
    | multiply(sk_c5,sk_c6) = sk_c7 ),
    inference(superposition,[status(thm)],[c_63,c_7006]) ).

cnf(c_8595,plain,
    multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
    inference(superposition,[status(thm)],[c_1227,c_7006]) ).

cnf(c_9048,plain,
    ( multiply(sk_c5,sk_c6) != sk_c7
    | inverse(sk_c5) != sk_c7
    | inverse(sk_c5) = multiply(sk_c5,sk_c6) ),
    inference(instantiation,[status(thm)],[c_6564]) ).

cnf(c_9516,plain,
    ( multiply(sk_c6,inverse(sk_c8)) = sk_c7
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_8549,c_2124]) ).

cnf(c_9554,plain,
    ( multiply(sk_c6,inverse(sk_c8)) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    inference(superposition,[status(thm)],[c_8550,c_2124]) ).

cnf(c_9726,plain,
    ( multiply(sk_c7,X0) = X0
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_2551,c_991]) ).

cnf(c_9782,plain,
    ( multiply(sk_c7,X0) = X0
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_2733,c_992]) ).

cnf(c_9980,plain,
    ( multiply(sk_c6,inverse(sk_c8)) = sk_c7
    | inverse(sk_c1) = sk_c8 ),
    inference(superposition,[status(thm)],[c_8551,c_2124]) ).

cnf(c_10755,plain,
    ( sk_c6 != identity
    | ~ sP2_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_909,c_909,c_2156]) ).

cnf(c_10837,plain,
    ( sk_c8 != sk_c8
    | sk_c7 != identity
    | ~ sP4_iProver_split ),
    inference(demodulation,[status(thm)],[c_1552,c_2126]) ).

cnf(c_10838,plain,
    ( sk_c7 != identity
    | ~ sP4_iProver_split ),
    inference(equality_resolution_simp,[status(thm)],[c_10837]) ).

cnf(c_11086,plain,
    ( inverse(sk_c2) != sk_c7
    | X0 != sk_c7
    | inverse(sk_c2) = X0 ),
    inference(instantiation,[status(thm)],[c_951]) ).

cnf(c_11280,plain,
    ( inverse(sk_c3) != sk_c6
    | sk_c6 != sk_c6
    | sk_c6 = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_1358]) ).

cnf(c_11283,plain,
    ( inverse(sk_c3) != sk_c6
    | X0 != sk_c6
    | X0 = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_1183]) ).

cnf(c_11287,plain,
    ( inverse(sk_c3) != sk_c6
    | sk_c7 != sk_c6
    | sk_c7 = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_11283]) ).

cnf(c_11552,plain,
    ( inverse(sk_c7) = identity
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_3571,c_2551]) ).

cnf(c_11595,plain,
    ( inverse(sk_c7) = identity
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_3572,c_2733]) ).

cnf(c_11648,plain,
    ( sk_c7 != identity
    | sk_c6 != identity
    | sk_c7 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_1354]) ).

cnf(c_11655,plain,
    ( inverse(X0) != identity
    | X1 != identity
    | inverse(X0) = X1 ),
    inference(instantiation,[status(thm)],[c_951]) ).

cnf(c_11659,plain,
    ( inverse(sk_c7) != identity
    | sk_c7 != identity
    | inverse(sk_c7) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_11655]) ).

cnf(c_11664,plain,
    ( sk_c8 != X0
    | identity != X0
    | sk_c8 = identity ),
    inference(instantiation,[status(thm)],[c_4329]) ).

cnf(c_11667,plain,
    ( inverse(sk_c5) != identity
    | sk_c8 != identity
    | inverse(sk_c5) = sk_c8 ),
    inference(instantiation,[status(thm)],[c_1407]) ).

cnf(c_11669,plain,
    ( sk_c8 != sk_c7
    | identity != sk_c7
    | sk_c8 = identity ),
    inference(instantiation,[status(thm)],[c_11664]) ).

cnf(c_11675,plain,
    ( multiply(sk_c4,sk_c7) != identity
    | sk_c7 != identity
    | multiply(sk_c4,sk_c7) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_2528]) ).

cnf(c_13514,plain,
    ( inverse(sk_c6) = identity
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_3587,c_2847]) ).

cnf(c_13737,plain,
    ( ~ sP3_iProver_split
    | inverse(sk_c5) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_4271,c_2541,c_4313,c_11552,c_11659]) ).

cnf(c_13743,plain,
    ( ~ sP3_iProver_split
    | inverse(sk_c4) = sk_c8 ),
    inference(global_subsumption_just,[status(thm)],[c_4342,c_2724,c_4360,c_11595,c_11659]) ).

cnf(c_14342,plain,
    ( inverse(sk_c7) = sk_c5
    | inverse(sk_c6) = identity ),
    inference(superposition,[status(thm)],[c_13514,c_2126]) ).

cnf(c_14452,plain,
    ( inverse(sk_c7) = sk_c5
    | sk_c3 = identity ),
    inference(superposition,[status(thm)],[c_14342,c_2465]) ).

cnf(c_14504,plain,
    ( multiply(sk_c5,sk_c7) = identity
    | sk_c3 = identity ),
    inference(superposition,[status(thm)],[c_14452,c_81]) ).

cnf(c_14628,plain,
    ( multiply(inverse(sk_c6),multiply(sk_c2,X0)) = multiply(inverse(sk_c7),X0)
    | multiply(sk_c5,sk_c6) = sk_c7 ),
    inference(superposition,[status(thm)],[c_8561,c_82]) ).

cnf(c_14996,plain,
    ( multiply(sk_c6,X0) = X0
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_1005,c_2847]) ).

cnf(c_15080,plain,
    ( X0 != identity
    | identity != identity
    | identity = X0 ),
    inference(instantiation,[status(thm)],[c_7795]) ).

cnf(c_15081,plain,
    ( sk_c7 != identity
    | identity != identity
    | identity = sk_c7 ),
    inference(instantiation,[status(thm)],[c_15080]) ).

cnf(c_15136,plain,
    ( multiply(sk_c6,X0) = X0
    | inverse(sk_c4) = sk_c8 ),
    inference(superposition,[status(thm)],[c_1006,c_2848]) ).

cnf(c_15384,plain,
    ( inverse(sk_c5) != sk_c8
    | sk_c8 != identity
    | ~ sP1_iProver_split
    | sk_c3 = identity ),
    inference(superposition,[status(thm)],[c_14504,c_380]) ).

cnf(c_17034,plain,
    ( multiply(sk_c3,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
    | inverse(sk_c5) = sk_c7 ),
    inference(superposition,[status(thm)],[c_77,c_82]) ).

cnf(c_17261,plain,
    ( inverse(identity) != sk_c8
    | sk_c8 != sk_c7
    | ~ sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_80,c_380]) ).

cnf(c_17265,plain,
    ( sk_c8 != sk_c7
    | sk_c8 != identity
    | ~ sP1_iProver_split ),
    inference(light_normalisation,[status(thm)],[c_17261,c_5984]) ).

cnf(c_21563,plain,
    ( multiply(sk_c4,sk_c7) != multiply(sk_c5,sk_c6)
    | inverse(sk_c5) != multiply(sk_c5,sk_c6)
    | inverse(sk_c5) = multiply(sk_c4,sk_c7) ),
    inference(instantiation,[status(thm)],[c_2908]) ).

cnf(c_21566,plain,
    ( multiply(sk_c4,sk_c7) != sk_c8
    | inverse(sk_c4) != sk_c8
    | ~ sP1_iProver_split ),
    inference(instantiation,[status(thm)],[c_380]) ).

cnf(c_22443,plain,
    ( sk_c8 != sk_c6
    | inverse(sk_c5) = sk_c7
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(superposition,[status(thm)],[c_9726,c_384]) ).

cnf(c_22452,plain,
    ( inverse(sk_c5) = sk_c7
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_9726,c_4267]) ).

cnf(c_22613,plain,
    ( multiply(identity,sk_c8) != sk_c7
    | inverse(sk_c2) != sk_c7
    | inverse(sk_c2) = multiply(identity,sk_c8) ),
    inference(instantiation,[status(thm)],[c_11086]) ).

cnf(c_22617,plain,
    ( inverse(sk_c2) != multiply(identity,sk_c8)
    | sk_c8 != multiply(identity,sk_c8)
    | inverse(sk_c2) = sk_c8 ),
    inference(instantiation,[status(thm)],[c_2802]) ).

cnf(c_22868,plain,
    ( sP1_iProver_split
    | sk_c8 != sk_c6
    | inverse(sk_c5) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_22443,c_4944,c_5288,c_6378,c_13737,c_22443]) ).

cnf(c_22869,plain,
    ( sk_c8 != sk_c6
    | inverse(sk_c5) = sk_c7
    | sP1_iProver_split ),
    inference(renaming,[status(thm)],[c_22868]) ).

cnf(c_24775,plain,
    ( inverse(sk_c3) != sk_c6
    | sk_c8 != sk_c6
    | sk_c8 = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_11283]) ).

cnf(c_24779,plain,
    ( sk_c8 != inverse(sk_c3)
    | sk_c6 != inverse(sk_c3)
    | sk_c6 = sk_c8 ),
    inference(instantiation,[status(thm)],[c_1152]) ).

cnf(c_24789,plain,
    ( multiply(identity,sk_c8) != sk_c6
    | inverse(sk_c3) != sk_c6
    | multiply(identity,sk_c8) = inverse(sk_c3) ),
    inference(instantiation,[status(thm)],[c_11283]) ).

cnf(c_24792,plain,
    ( multiply(identity,sk_c8) != inverse(sk_c3)
    | sk_c7 != inverse(sk_c3)
    | multiply(identity,sk_c8) = sk_c7 ),
    inference(instantiation,[status(thm)],[c_2571]) ).

cnf(c_24852,plain,
    ( sk_c8 != sk_c6
    | inverse(sk_c4) = sk_c8
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(superposition,[status(thm)],[c_9782,c_384]) ).

cnf(c_24860,plain,
    ( inverse(sk_c4) = sk_c8
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_9782,c_4339]) ).

cnf(c_28394,plain,
    ( inverse(sk_c5) = sk_c7
    | sk_c8 = sk_c6 ),
    inference(superposition,[status(thm)],[c_14996,c_4383]) ).

cnf(c_28463,plain,
    ( inverse(sk_c5) = sk_c7
    | sP1_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_22869,c_28394]) ).

cnf(c_29506,plain,
    ( multiply(identity,sk_c8) != sk_c8
    | sk_c6 != sk_c8
    | multiply(identity,sk_c8) = sk_c6 ),
    inference(instantiation,[status(thm)],[c_6655]) ).

cnf(c_29517,plain,
    inverse(sk_c5) = sk_c7,
    inference(global_subsumption_just,[status(thm)],[c_17034,c_72,c_67,c_855,c_1158,c_1165,c_1361,c_2193,c_11280,c_11287,c_22452,c_22613,c_22617,c_24775,c_24779,c_24789,c_24792,c_28394,c_28463,c_29506]) ).

cnf(c_31101,plain,
    ( X0 != sk_c6
    | sk_c8 != sk_c6
    | sk_c8 = X0 ),
    inference(instantiation,[status(thm)],[c_1156]) ).

cnf(c_31104,plain,
    ( sk_c8 != sk_c6
    | sk_c7 != sk_c6
    | sk_c8 = sk_c7 ),
    inference(instantiation,[status(thm)],[c_31101]) ).

cnf(c_31400,plain,
    ( multiply(identity,sk_c8) != sk_c6
    | X0 != sk_c6
    | X0 = multiply(identity,sk_c8) ),
    inference(instantiation,[status(thm)],[c_1928]) ).

cnf(c_31403,plain,
    ( multiply(identity,sk_c8) != sk_c6
    | sk_c7 != sk_c6
    | sk_c7 = multiply(identity,sk_c8) ),
    inference(instantiation,[status(thm)],[c_31400]) ).

cnf(c_32267,plain,
    inverse(sk_c5) = sk_c7,
    inference(global_subsumption_just,[status(thm)],[c_1885,c_29517]) ).

cnf(c_32354,plain,
    multiply(sk_c5,multiply(sk_c7,X0)) = X0,
    inference(superposition,[status(thm)],[c_32267,c_2124]) ).

cnf(c_32355,plain,
    multiply(sk_c5,sk_c7) = identity,
    inference(superposition,[status(thm)],[c_32267,c_2118]) ).

cnf(c_32356,plain,
    inverse(sk_c7) = sk_c5,
    inference(superposition,[status(thm)],[c_32267,c_2126]) ).

cnf(c_32358,plain,
    multiply(sk_c7,sk_c5) = identity,
    inference(superposition,[status(thm)],[c_32267,c_81]) ).

cnf(c_32400,plain,
    ( multiply(sk_c5,sk_c6) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    inference(demodulation,[status(thm)],[c_1241,c_32356]) ).

cnf(c_32401,plain,
    ( multiply(sk_c5,sk_c6) = sk_c8
    | inverse(sk_c2) = sk_c7 ),
    inference(demodulation,[status(thm)],[c_1240,c_32356]) ).

cnf(c_32402,plain,
    ( multiply(sk_c5,sk_c6) = sk_c8
    | inverse(sk_c3) = sk_c6 ),
    inference(demodulation,[status(thm)],[c_1239,c_32356]) ).

cnf(c_33982,plain,
    ( ~ sP1_iProver_split
    | sk_c8 != identity
    | inverse(sk_c5) != sk_c8 ),
    inference(global_subsumption_just,[status(thm)],[c_15384,c_72,c_67,c_391,c_855,c_1158,c_1165,c_1361,c_1376,c_1782,c_2193,c_2980,c_11280,c_11287,c_17265,c_22452,c_22613,c_22617,c_24775,c_24779,c_24789,c_24792,c_28394,c_28463,c_29506]) ).

cnf(c_33983,plain,
    ( inverse(sk_c5) != sk_c8
    | sk_c8 != identity
    | ~ sP1_iProver_split ),
    inference(renaming,[status(thm)],[c_33982]) ).

cnf(c_34184,plain,
    ( inverse(sk_c4) = sk_c8
    | sk_c8 = sk_c6 ),
    inference(superposition,[status(thm)],[c_15136,c_4862]) ).

cnf(c_34206,plain,
    inverse(sk_c4) = sk_c8,
    inference(global_subsumption_just,[status(thm)],[c_34184,c_2724,c_4328,c_4950,c_5304,c_6387,c_11669,c_13743,c_15081,c_17265,c_24860,c_24852,c_31104,c_34184]) ).

cnf(c_34249,plain,
    ( multiply(sk_c8,sk_c8) = sk_c7
    | inverse(sk_c1) = sk_c8 ),
    inference(demodulation,[status(thm)],[c_1244,c_34206]) ).

cnf(c_34255,plain,
    ( multiply(sk_c8,sk_c8) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    inference(demodulation,[status(thm)],[c_1243,c_34206]) ).

cnf(c_34256,plain,
    ( multiply(sk_c8,sk_c8) = sk_c7
    | inverse(sk_c3) = sk_c6 ),
    inference(demodulation,[status(thm)],[c_1242,c_34206]) ).

cnf(c_34282,plain,
    multiply(sk_c4,sk_c8) = identity,
    inference(superposition,[status(thm)],[c_34206,c_2118]) ).

cnf(c_34283,plain,
    inverse(sk_c8) = sk_c4,
    inference(superposition,[status(thm)],[c_34206,c_2126]) ).

cnf(c_34284,plain,
    multiply(sk_c8,multiply(sk_c4,X0)) = X0,
    inference(superposition,[status(thm)],[c_34206,c_1227]) ).

cnf(c_34355,plain,
    ( sk_c8 != sk_c7
    | sk_c8 != sk_c6
    | ~ sP2_iProver_split
    | inverse(sk_c3) = sk_c6 ),
    inference(light_normalisation,[status(thm)],[c_900,c_34206]) ).

cnf(c_34364,plain,
    ( sk_c8 != sk_c7
    | sk_c8 != sk_c6
    | ~ sP2_iProver_split
    | inverse(sk_c2) = sk_c7 ),
    inference(light_normalisation,[status(thm)],[c_901,c_34206]) ).

cnf(c_35356,plain,
    ( inverse(sk_c1) = sk_c8
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_32400,c_58]) ).

cnf(c_35389,plain,
    ( inverse(sk_c8) = sk_c1
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_35356,c_2126]) ).

cnf(c_35392,plain,
    ( sk_c1 = sk_c4
    | sk_c8 = sk_c7 ),
    inference(light_normalisation,[status(thm)],[c_35389,c_34283]) ).

cnf(c_35529,plain,
    ( multiply(sk_c4,sk_c8) = sk_c7
    | multiply(sk_c5,sk_c6) = sk_c7
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_35392,c_53]) ).

cnf(c_35530,plain,
    ( multiply(sk_c4,sk_c8) = sk_c7
    | multiply(sk_c4,sk_c7) = sk_c8
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_35392,c_51]) ).

cnf(c_35531,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | multiply(sk_c4,sk_c8) = sk_c7
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_35392,c_49]) ).

cnf(c_35532,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | sk_c8 = sk_c7
    | sk_c7 = identity ),
    inference(light_normalisation,[status(thm)],[c_35531,c_34282]) ).

cnf(c_35536,plain,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | sk_c8 = sk_c7
    | sk_c7 = identity ),
    inference(light_normalisation,[status(thm)],[c_35530,c_34282]) ).

cnf(c_35540,plain,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | sk_c8 = sk_c7
    | sk_c7 = identity ),
    inference(light_normalisation,[status(thm)],[c_35529,c_34282]) ).

cnf(c_35606,plain,
    ( inverse(sk_c2) = sk_c7
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_32401,c_68]) ).

cnf(c_35627,plain,
    ( sk_c8 != sk_c6
    | ~ sP2_iProver_split
    | inverse(sk_c2) = sk_c7 ),
    inference(backward_subsumption_resolution,[status(thm)],[c_34364,c_35606]) ).

cnf(c_36108,plain,
    ( inverse(sk_c3) = sk_c6
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_32402,c_73]) ).

cnf(c_36127,plain,
    ( sk_c8 != sk_c6
    | ~ sP2_iProver_split
    | inverse(sk_c3) = sk_c6 ),
    inference(backward_subsumption_resolution,[status(thm)],[c_34355,c_36108]) ).

cnf(c_36199,plain,
    ( multiply(inverse(X0),inverse(X1)) != sk_c8
    | multiply(X1,multiply(X0,sk_c7)) != sk_c8
    | ~ sP1_iProver_split ),
    inference(demodulation,[status(thm)],[c_1024,c_8595]) ).

cnf(c_36206,plain,
    ( multiply(X0,multiply(inverse(X0),sk_c7)) != sk_c8
    | sk_c8 != identity
    | ~ sP1_iProver_split ),
    inference(superposition,[status(thm)],[c_81,c_36199]) ).

cnf(c_37411,plain,
    ( multiply(inverse(sk_c8),inverse(sk_c8)) = inverse(sk_c7)
    | inverse(sk_c1) = sk_c8 ),
    inference(superposition,[status(thm)],[c_34249,c_8595]) ).

cnf(c_37416,plain,
    ( multiply(sk_c4,sk_c4) = sk_c5
    | inverse(sk_c1) = sk_c8 ),
    inference(light_normalisation,[status(thm)],[c_37411,c_32356,c_34283]) ).

cnf(c_37457,plain,
    ( multiply(inverse(sk_c8),inverse(sk_c8)) = inverse(sk_c7)
    | inverse(sk_c2) = sk_c7 ),
    inference(superposition,[status(thm)],[c_34255,c_8595]) ).

cnf(c_37462,plain,
    ( multiply(sk_c4,sk_c4) = sk_c5
    | inverse(sk_c2) = sk_c7 ),
    inference(light_normalisation,[status(thm)],[c_37457,c_32356,c_34283]) ).

cnf(c_37503,plain,
    ( multiply(inverse(sk_c8),inverse(sk_c8)) = inverse(sk_c7)
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_34256,c_8595]) ).

cnf(c_37508,plain,
    ( multiply(sk_c4,sk_c4) = sk_c5
    | inverse(sk_c3) = sk_c6 ),
    inference(light_normalisation,[status(thm)],[c_37503,c_32356,c_34283]) ).

cnf(c_38254,plain,
    ( multiply(sk_c8,sk_c5) = sk_c4
    | inverse(sk_c1) = sk_c8 ),
    inference(superposition,[status(thm)],[c_37416,c_34284]) ).

cnf(c_38272,plain,
    ( multiply(sk_c8,sk_c5) = sk_c4
    | inverse(sk_c2) = sk_c7 ),
    inference(superposition,[status(thm)],[c_37462,c_34284]) ).

cnf(c_38290,plain,
    ( multiply(sk_c8,sk_c5) = sk_c4
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_37508,c_34284]) ).

cnf(c_38420,plain,
    ( multiply(inverse(sk_c5),inverse(sk_c8)) = inverse(sk_c4)
    | inverse(sk_c1) = sk_c8 ),
    inference(superposition,[status(thm)],[c_38254,c_8595]) ).

cnf(c_38423,plain,
    ( multiply(sk_c7,sk_c4) = sk_c8
    | inverse(sk_c1) = sk_c8 ),
    inference(light_normalisation,[status(thm)],[c_38420,c_32267,c_34206,c_34283]) ).

cnf(c_38456,plain,
    ( multiply(inverse(sk_c5),inverse(sk_c8)) = inverse(sk_c4)
    | inverse(sk_c2) = sk_c7 ),
    inference(superposition,[status(thm)],[c_38272,c_8595]) ).

cnf(c_38459,plain,
    ( multiply(sk_c7,sk_c4) = sk_c8
    | inverse(sk_c2) = sk_c7 ),
    inference(light_normalisation,[status(thm)],[c_38456,c_32267,c_34206,c_34283]) ).

cnf(c_38555,plain,
    ( multiply(inverse(sk_c5),inverse(sk_c8)) = inverse(sk_c4)
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_38290,c_8595]) ).

cnf(c_38558,plain,
    ( multiply(sk_c7,sk_c4) = sk_c8
    | inverse(sk_c3) = sk_c6 ),
    inference(light_normalisation,[status(thm)],[c_38555,c_32267,c_34206,c_34283]) ).

cnf(c_38669,plain,
    ( multiply(sk_c6,sk_c4) = sk_c7
    | inverse(sk_c3) = sk_c6 ),
    inference(light_normalisation,[status(thm)],[c_9516,c_34283]) ).

cnf(c_38686,plain,
    ( multiply(sk_c7,sk_c4) = multiply(sk_c5,sk_c7)
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_38669,c_999]) ).

cnf(c_38688,plain,
    ( multiply(sk_c7,sk_c4) = identity
    | inverse(sk_c3) = sk_c6 ),
    inference(light_normalisation,[status(thm)],[c_38686,c_32355]) ).

cnf(c_38703,plain,
    ( multiply(sk_c6,sk_c4) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    inference(light_normalisation,[status(thm)],[c_9554,c_34283]) ).

cnf(c_38719,plain,
    ( multiply(sk_c7,sk_c4) = multiply(sk_c5,sk_c7)
    | inverse(sk_c2) = sk_c7 ),
    inference(superposition,[status(thm)],[c_38703,c_1000]) ).

cnf(c_38722,plain,
    ( multiply(sk_c7,sk_c4) = identity
    | inverse(sk_c2) = sk_c7 ),
    inference(light_normalisation,[status(thm)],[c_38719,c_32355]) ).

cnf(c_38770,plain,
    ( multiply(sk_c6,sk_c4) = sk_c7
    | inverse(sk_c1) = sk_c8 ),
    inference(light_normalisation,[status(thm)],[c_9980,c_34283]) ).

cnf(c_38785,plain,
    ( multiply(sk_c7,sk_c4) = multiply(sk_c5,sk_c7)
    | inverse(sk_c1) = sk_c8 ),
    inference(superposition,[status(thm)],[c_38770,c_1001]) ).

cnf(c_38789,plain,
    ( multiply(sk_c7,sk_c4) = identity
    | inverse(sk_c1) = sk_c8 ),
    inference(light_normalisation,[status(thm)],[c_38785,c_32355]) ).

cnf(c_39487,plain,
    ( multiply(sk_c7,multiply(sk_c4,X0)) = multiply(identity,X0)
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_38688,c_82]) ).

cnf(c_39501,plain,
    ( inverse(sk_c3) = sk_c6
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_38688,c_38558]) ).

cnf(c_39516,plain,
    ( multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | inverse(sk_c3) = sk_c6 ),
    inference(light_normalisation,[status(thm)],[c_39487,c_80]) ).

cnf(c_39719,plain,
    ( multiply(sk_c7,sk_c8) = sk_c7
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_71,c_39516]) ).

cnf(c_39755,plain,
    ( multiply(sk_c8,multiply(sk_c4,X0)) = multiply(sk_c4,X0)
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_39516,c_996]) ).

cnf(c_39775,plain,
    ( multiply(sk_c4,X0) = X0
    | inverse(sk_c3) = sk_c6 ),
    inference(light_normalisation,[status(thm)],[c_39755,c_34284]) ).

cnf(c_39947,plain,
    ( inverse(sk_c3) = sk_c6
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_39719,c_69]) ).

cnf(c_39967,plain,
    ( multiply(inverse(sk_c8),inverse(sk_c7)) = inverse(sk_c7)
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_39719,c_8595]) ).

cnf(c_39982,plain,
    ( multiply(sk_c4,sk_c5) = sk_c5
    | inverse(sk_c3) = sk_c6 ),
    inference(light_normalisation,[status(thm)],[c_39967,c_32356,c_34283]) ).

cnf(c_43205,plain,
    ( multiply(sk_c7,multiply(sk_c4,X0)) = multiply(identity,X0)
    | inverse(sk_c2) = sk_c7 ),
    inference(superposition,[status(thm)],[c_38722,c_82]) ).

cnf(c_43220,plain,
    ( inverse(sk_c2) = sk_c7
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_38722,c_38459]) ).

cnf(c_43234,plain,
    ( multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | inverse(sk_c2) = sk_c7 ),
    inference(light_normalisation,[status(thm)],[c_43205,c_80]) ).

cnf(c_43325,plain,
    ( multiply(sk_c7,sk_c8) = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    inference(superposition,[status(thm)],[c_66,c_43234]) ).

cnf(c_43359,plain,
    ( multiply(sk_c8,multiply(sk_c4,X0)) = multiply(sk_c4,X0)
    | inverse(sk_c2) = sk_c7 ),
    inference(superposition,[status(thm)],[c_43234,c_997]) ).

cnf(c_43383,plain,
    ( multiply(sk_c4,X0) = X0
    | inverse(sk_c2) = sk_c7 ),
    inference(light_normalisation,[status(thm)],[c_43359,c_34284]) ).

cnf(c_43436,plain,
    ( inverse(sk_c2) = sk_c7
    | sk_c7 = sk_c6 ),
    inference(superposition,[status(thm)],[c_43325,c_64]) ).

cnf(c_43455,plain,
    ( multiply(inverse(sk_c8),inverse(sk_c7)) = inverse(sk_c7)
    | inverse(sk_c2) = sk_c7 ),
    inference(superposition,[status(thm)],[c_43325,c_8595]) ).

cnf(c_43470,plain,
    ( multiply(sk_c4,sk_c5) = sk_c5
    | inverse(sk_c2) = sk_c7 ),
    inference(light_normalisation,[status(thm)],[c_43455,c_32356,c_34283]) ).

cnf(c_43710,plain,
    ( sk_c8 != X0
    | sk_c6 != X0
    | sk_c8 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_2200]) ).

cnf(c_43711,plain,
    ( sk_c8 != sk_c7
    | sk_c6 != sk_c7
    | sk_c8 = sk_c6 ),
    inference(instantiation,[status(thm)],[c_43710]) ).

cnf(c_47037,plain,
    ( ~ sP2_iProver_split
    | inverse(sk_c2) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_35627,c_1157,c_1158,c_35606,c_35627,c_43436,c_43711]) ).

cnf(c_47043,plain,
    ( inverse(sk_c2) = sk_c7
    | sP0_iProver_split
    | sP4_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1205,c_47037]) ).

cnf(c_47047,plain,
    ( sP0_iProver_split
    | inverse(sk_c2) = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_47043,c_1554,c_35606,c_43220,c_47043]) ).

cnf(c_47048,plain,
    ( inverse(sk_c2) = sk_c7
    | sP0_iProver_split ),
    inference(renaming,[status(thm)],[c_47047]) ).

cnf(c_47072,plain,
    ( multiply(sk_c7,multiply(sk_c4,X0)) = multiply(identity,X0)
    | inverse(sk_c1) = sk_c8 ),
    inference(superposition,[status(thm)],[c_38789,c_82]) ).

cnf(c_47088,plain,
    ( inverse(sk_c1) = sk_c8
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_38789,c_38423]) ).

cnf(c_47101,plain,
    ( multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | inverse(sk_c1) = sk_c8 ),
    inference(light_normalisation,[status(thm)],[c_47072,c_80]) ).

cnf(c_47135,plain,
    ( inverse(sk_c8) = sk_c1
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_47088,c_2126]) ).

cnf(c_47143,plain,
    ( sk_c1 = sk_c4
    | sk_c8 = identity ),
    inference(light_normalisation,[status(thm)],[c_47135,c_34283]) ).

cnf(c_47667,plain,
    ( ~ sP2_iProver_split
    | inverse(sk_c3) = sk_c6 ),
    inference(global_subsumption_just,[status(thm)],[c_36127,c_1157,c_1158,c_36108,c_36127,c_39947,c_43711]) ).

cnf(c_47673,plain,
    ( inverse(sk_c3) = sk_c6
    | sP0_iProver_split
    | sP4_iProver_split ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1195,c_47667]) ).

cnf(c_47677,plain,
    ( sP0_iProver_split
    | inverse(sk_c3) = sk_c6 ),
    inference(global_subsumption_just,[status(thm)],[c_47673,c_72,c_67,c_751,c_849,c_855,c_959,c_1158,c_1165,c_1361,c_1554,c_2193,c_2724,c_4328,c_4950,c_5304,c_6387,c_11280,c_11287,c_11669,c_13743,c_15081,c_17265,c_22452,c_22613,c_22617,c_24775,c_24779,c_24789,c_24792,c_24860,c_24852,c_28394,c_28463,c_29506,c_31104,c_34184,c_36108,c_39501,c_47667]) ).

cnf(c_47678,plain,
    ( inverse(sk_c3) = sk_c6
    | sP0_iProver_split ),
    inference(renaming,[status(thm)],[c_47677]) ).

cnf(c_48032,plain,
    ( multiply(sk_c4,sk_c7) != sk_c8
    | multiply(sk_c5,sk_c6) != sk_c8
    | multiply(sk_c4,sk_c7) = multiply(sk_c5,sk_c6) ),
    inference(instantiation,[status(thm)],[c_6549]) ).

cnf(c_48056,plain,
    ( multiply(sk_c7,sk_c5) = sk_c4
    | inverse(sk_c1) = sk_c8 ),
    inference(superposition,[status(thm)],[c_37416,c_47101]) ).

cnf(c_48084,plain,
    ( inverse(sk_c1) = sk_c8
    | sk_c4 = identity ),
    inference(light_normalisation,[status(thm)],[c_48056,c_32358]) ).

cnf(c_48434,plain,
    ( multiply(sk_c4,sk_c8) = sk_c7
    | multiply(sk_c4,sk_c7) = sk_c8
    | sk_c8 = identity ),
    inference(superposition,[status(thm)],[c_47143,c_51]) ).

cnf(c_48442,plain,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | sk_c8 = identity
    | sk_c7 = identity ),
    inference(light_normalisation,[status(thm)],[c_48434,c_34282]) ).

cnf(c_48742,plain,
    ( inverse(sk_c8) = sk_c1
    | sk_c4 = identity ),
    inference(superposition,[status(thm)],[c_48084,c_2126]) ).

cnf(c_48750,plain,
    ( sk_c1 = sk_c4
    | sk_c4 = identity ),
    inference(light_normalisation,[status(thm)],[c_48742,c_34283]) ).

cnf(c_49002,plain,
    ( multiply(sk_c4,sk_c8) = sk_c7
    | multiply(sk_c4,sk_c7) = sk_c8
    | sk_c4 = identity ),
    inference(superposition,[status(thm)],[c_48750,c_51]) ).

cnf(c_49010,plain,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | sk_c7 = identity
    | sk_c4 = identity ),
    inference(light_normalisation,[status(thm)],[c_49002,c_34282]) ).

cnf(c_53815,plain,
    ( inverse(sk_c4) != sk_c6
    | sk_c8 != sk_c6
    | ~ sP0_iProver_split
    | inverse(sk_c3) = sk_c6 ),
    inference(superposition,[status(thm)],[c_39775,c_379]) ).

cnf(c_53879,plain,
    ( sk_c8 != sk_c6
    | ~ sP0_iProver_split
    | inverse(sk_c3) = sk_c6 ),
    inference(light_normalisation,[status(thm)],[c_53815,c_34206]) ).

cnf(c_53891,plain,
    inverse(sk_c3) = sk_c6,
    inference(global_subsumption_just,[status(thm)],[c_39982,c_1157,c_1158,c_36108,c_39947,c_43711,c_47678,c_53879]) ).

cnf(c_53959,plain,
    multiply(sk_c3,sk_c6) = identity,
    inference(superposition,[status(thm)],[c_53891,c_2118]) ).

cnf(c_53960,plain,
    inverse(sk_c6) = sk_c3,
    inference(superposition,[status(thm)],[c_53891,c_2126]) ).

cnf(c_54482,plain,
    ( sk_c8 != identity
    | ~ sP1_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_36206,c_72,c_67,c_855,c_1158,c_1165,c_1361,c_2193,c_2724,c_4328,c_4332,c_4950,c_5304,c_6387,c_11280,c_11287,c_11669,c_11667,c_13743,c_15081,c_17265,c_21566,c_22452,c_22613,c_22617,c_24775,c_24779,c_24789,c_24792,c_24860,c_24852,c_28394,c_28463,c_29506,c_31104,c_33983,c_34184,c_35536]) ).

cnf(c_56690,plain,
    ( inverse(sk_c4) != sk_c6
    | sk_c8 != sk_c6
    | ~ sP0_iProver_split
    | inverse(sk_c2) = sk_c7 ),
    inference(superposition,[status(thm)],[c_43383,c_379]) ).

cnf(c_56744,plain,
    ( sk_c8 != sk_c6
    | ~ sP0_iProver_split
    | inverse(sk_c2) = sk_c7 ),
    inference(light_normalisation,[status(thm)],[c_56690,c_34206]) ).

cnf(c_56845,plain,
    inverse(sk_c2) = sk_c7,
    inference(global_subsumption_just,[status(thm)],[c_43470,c_1157,c_1158,c_35606,c_43436,c_43711,c_47048,c_56744]) ).

cnf(c_56923,plain,
    multiply(sk_c2,sk_c7) = identity,
    inference(superposition,[status(thm)],[c_56845,c_2118]) ).

cnf(c_56924,plain,
    inverse(sk_c7) = sk_c2,
    inference(superposition,[status(thm)],[c_56845,c_2126]) ).

cnf(c_56932,plain,
    sk_c5 = sk_c2,
    inference(light_normalisation,[status(thm)],[c_56924,c_32356]) ).

cnf(c_56972,plain,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | sk_c6 = identity ),
    inference(demodulation,[status(thm)],[c_63,c_56923]) ).

cnf(c_56973,plain,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | sk_c6 = identity ),
    inference(demodulation,[status(thm)],[c_61,c_56923]) ).

cnf(c_56974,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | sk_c6 = identity ),
    inference(demodulation,[status(thm)],[c_59,c_56923]) ).

cnf(c_57040,plain,
    ( inverse(sk_c5) != sk_c7
    | ~ sP3_iProver_split
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_56972,c_382]) ).

cnf(c_57050,plain,
    ( ~ sP3_iProver_split
    | sk_c6 = identity ),
    inference(forward_subsumption_resolution,[status(thm)],[c_57040,c_32267]) ).

cnf(c_57112,plain,
    ( multiply(sk_c5,sk_c6) = sk_c8
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_56974,c_32354]) ).

cnf(c_57485,plain,
    ( sk_c8 = sk_c7
    | sk_c6 = identity ),
    inference(superposition,[status(thm)],[c_57112,c_56972]) ).

cnf(c_57520,plain,
    ( inverse(identity) = sk_c3
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_57485,c_53960]) ).

cnf(c_57542,plain,
    ( sk_c8 = sk_c7
    | sk_c3 = identity ),
    inference(light_normalisation,[status(thm)],[c_57520,c_1510]) ).

cnf(c_57648,plain,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | multiply(identity,sk_c8) = sk_c6
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_57542,c_78]) ).

cnf(c_57649,plain,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | multiply(identity,sk_c8) = sk_c6
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_57542,c_76]) ).

cnf(c_57650,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | multiply(identity,sk_c8) = sk_c6
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_57542,c_74]) ).

cnf(c_57715,plain,
    ( multiply(sk_c5,sk_c6) = sk_c7
    | sk_c8 = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_57648,c_1165,c_1361,c_2193,c_2804,c_11648,c_31403,c_35540,c_56972,c_57648]) ).

cnf(c_57755,plain,
    ( multiply(sk_c4,sk_c7) = sk_c8
    | sk_c8 = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_57649,c_1165,c_1361,c_2193,c_2804,c_11648,c_31403,c_35536,c_56973,c_57649]) ).

cnf(c_57785,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | sk_c8 = sk_c7 ),
    inference(global_subsumption_just,[status(thm)],[c_57650,c_1165,c_1361,c_2193,c_2804,c_11648,c_31403,c_35532,c_56974,c_57650]) ).

cnf(c_57793,plain,
    ( sk_c8 = sk_c7
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(superposition,[status(thm)],[c_57785,c_384]) ).

cnf(c_57806,plain,
    ( multiply(sk_c5,sk_c6) = sk_c8
    | sk_c8 = sk_c7 ),
    inference(superposition,[status(thm)],[c_57785,c_32354]) ).

cnf(c_57835,plain,
    sk_c8 = sk_c7,
    inference(global_subsumption_just,[status(thm)],[c_57793,c_391,c_1361,c_1376,c_1782,c_2185,c_2580,c_2980,c_9048,c_21563,c_29517,c_48032,c_57715,c_57755,c_57806]) ).

cnf(c_57856,plain,
    ( sk_c7 != identity
    | ~ sP1_iProver_split ),
    inference(demodulation,[status(thm)],[c_54482,c_57835]) ).

cnf(c_57917,plain,
    multiply(sk_c4,sk_c7) = identity,
    inference(demodulation,[status(thm)],[c_34282,c_57835]) ).

cnf(c_57918,plain,
    inverse(sk_c7) = sk_c4,
    inference(demodulation,[status(thm)],[c_34283,c_57835]) ).

cnf(c_57952,plain,
    ( multiply(X0,sk_c7) != sk_c6
    | inverse(X0) != sk_c6
    | ~ sP0_iProver_split ),
    inference(demodulation,[status(thm)],[c_379,c_57835]) ).

cnf(c_57953,plain,
    ( multiply(sk_c7,sk_c7) != sk_c6
    | sP0_iProver_split
    | sP1_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(demodulation,[status(thm)],[c_384,c_57835]) ).

cnf(c_57955,plain,
    ( multiply(sk_c4,sk_c7) = sk_c7
    | multiply(sk_c3,sk_c7) = sk_c6 ),
    inference(demodulation,[status(thm)],[c_76,c_57835]) ).

cnf(c_57963,plain,
    sk_c4 = sk_c5,
    inference(light_normalisation,[status(thm)],[c_57918,c_32356]) ).

cnf(c_58192,plain,
    sk_c4 = sk_c2,
    inference(demodulation,[status(thm)],[c_56932,c_57963]) ).

cnf(c_58201,plain,
    inverse(sk_c7) = sk_c4,
    inference(demodulation,[status(thm)],[c_32356,c_57963]) ).

cnf(c_58302,plain,
    ( sP0_iProver_split
    | multiply(sk_c7,sk_c7) != sk_c6
    | sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(global_subsumption_just,[status(thm)],[c_57953,c_17265,c_21566,c_34206,c_48442,c_57835,c_57856,c_57953]) ).

cnf(c_58303,plain,
    ( multiply(sk_c7,sk_c7) != sk_c6
    | sP0_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(renaming,[status(thm)],[c_58302]) ).

cnf(c_58397,plain,
    multiply(sk_c4,sk_c7) = sk_c7,
    inference(global_subsumption_just,[status(thm)],[c_57955,c_72,c_67,c_391,c_855,c_1158,c_1165,c_1168,c_1361,c_1376,c_1782,c_2185,c_2193,c_2580,c_2980,c_4290,c_4914,c_7879,c_8497,c_8500,c_9048,c_11280,c_11287,c_11675,c_21563,c_22452,c_22613,c_22617,c_24775,c_24779,c_24789,c_24792,c_28394,c_28463,c_29506,c_48032,c_49010,c_57715,c_57755,c_57806,c_57917]) ).

cnf(c_58399,plain,
    sk_c7 = identity,
    inference(light_normalisation,[status(thm)],[c_58397,c_57917]) ).

cnf(c_58403,plain,
    ( multiply(identity,identity) != sk_c6
    | sP0_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split
    | sP4_iProver_split ),
    inference(demodulation,[status(thm)],[c_58303,c_58399]) ).

cnf(c_58410,plain,
    ( identity != identity
    | ~ sP4_iProver_split ),
    inference(demodulation,[status(thm)],[c_10838,c_58399]) ).

cnf(c_58411,plain,
    ( sk_c6 != identity
    | identity != identity
    | ~ sP3_iProver_split ),
    inference(demodulation,[status(thm)],[c_5537,c_58399]) ).

cnf(c_58413,plain,
    ( multiply(X0,sk_c6) != identity
    | inverse(X0) != identity
    | ~ sP3_iProver_split ),
    inference(demodulation,[status(thm)],[c_382,c_58399]) ).

cnf(c_58415,plain,
    ~ sP4_iProver_split,
    inference(equality_resolution_simp,[status(thm)],[c_58410]) ).

cnf(c_58418,plain,
    ( multiply(identity,identity) != sk_c6
    | sP0_iProver_split
    | sP2_iProver_split
    | sP3_iProver_split ),
    inference(forward_subsumption_resolution,[status(thm)],[c_58403,c_58415]) ).

cnf(c_58424,plain,
    ( sk_c6 != identity
    | ~ sP3_iProver_split ),
    inference(equality_resolution_simp,[status(thm)],[c_58411]) ).

cnf(c_58485,plain,
    ( inverse(X0) != sk_c6
    | X0 != sk_c6
    | ~ sP0_iProver_split ),
    inference(light_normalisation,[status(thm)],[c_57952,c_1502,c_58399]) ).

cnf(c_58493,plain,
    ( sk_c6 != identity
    | ~ sP0_iProver_split ),
    inference(superposition,[status(thm)],[c_1510,c_58485]) ).

cnf(c_58506,plain,
    ~ sP3_iProver_split,
    inference(global_subsumption_just,[status(thm)],[c_58413,c_57050,c_58424]) ).

cnf(c_58552,plain,
    sk_c4 = identity,
    inference(light_normalisation,[status(thm)],[c_58201,c_1510,c_58399]) ).

cnf(c_58555,plain,
    sk_c2 = identity,
    inference(demodulation,[status(thm)],[c_58192,c_58552]) ).

cnf(c_58556,plain,
    sk_c5 = identity,
    inference(demodulation,[status(thm)],[c_57963,c_58552]) ).

cnf(c_58589,plain,
    ( multiply(sk_c3,X0) = X0
    | multiply(identity,sk_c6) = identity ),
    inference(light_normalisation,[status(thm)],[c_14628,c_80,c_53960,c_58201,c_58399,c_58552,c_58555,c_58556]) ).

cnf(c_58590,plain,
    ( multiply(sk_c3,X0) = X0
    | sk_c6 = identity ),
    inference(demodulation,[status(thm)],[c_58589,c_80]) ).

cnf(c_58607,plain,
    sk_c6 = identity,
    inference(superposition,[status(thm)],[c_58590,c_53959]) ).

cnf(c_58610,plain,
    ~ sP2_iProver_split,
    inference(backward_subsumption_resolution,[status(thm)],[c_10755,c_58607]) ).

cnf(c_58815,plain,
    multiply(identity,identity) != sk_c6,
    inference(global_subsumption_just,[status(thm)],[c_58418,c_58418,c_58493,c_58506,c_58610,c_58607]) ).

cnf(c_58817,plain,
    multiply(identity,identity) != identity,
    inference(light_normalisation,[status(thm)],[c_58815,c_58607]) ).

cnf(c_58818,plain,
    identity != identity,
    inference(demodulation,[status(thm)],[c_58817,c_80]) ).

cnf(c_58819,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_58818]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : GRP255-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.10  % Command  : run_iprover %s %d THM
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 300
% 0.10/0.29  % DateTime : Mon Aug 28 21:06:16 EDT 2023
% 0.10/0.29  % CPUTime  : 
% 0.14/0.38  Running first-order theorem proving
% 0.14/0.38  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 9.64/2.02  % SZS status Started for theBenchmark.p
% 9.64/2.02  % SZS status Unsatisfiable for theBenchmark.p
% 9.64/2.02  
% 9.64/2.02  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.64/2.02  
% 9.64/2.02  ------  iProver source info
% 9.64/2.02  
% 9.64/2.02  git: date: 2023-05-31 18:12:56 +0000
% 9.64/2.02  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.64/2.02  git: non_committed_changes: false
% 9.64/2.02  git: last_make_outside_of_git: false
% 9.64/2.02  
% 9.64/2.02  ------ Parsing...successful
% 9.64/2.02  
% 9.64/2.02  
% 9.64/2.02  
% 9.64/2.02  ------ Preprocessing... sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 9.64/2.02  
% 9.64/2.02  ------ Preprocessing... gs_s  sp: 5 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 9.64/2.02  
% 9.64/2.02  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 9.64/2.02  ------ Proving...
% 9.64/2.02  ------ Problem Properties 
% 9.64/2.02  
% 9.64/2.02  
% 9.64/2.02  clauses                                 39
% 9.64/2.02  conjectures                             36
% 9.64/2.02  EPR                                     0
% 9.64/2.02  Horn                                    8
% 9.64/2.02  unary                                   3
% 9.64/2.02  binary                                  30
% 9.64/2.02  lits                                    84
% 9.64/2.02  lits eq                                 74
% 9.64/2.02  fd_pure                                 0
% 9.64/2.02  fd_pseudo                               0
% 9.64/2.02  fd_cond                                 0
% 9.64/2.02  fd_pseudo_cond                          0
% 9.64/2.02  AC symbols                              0
% 9.64/2.02  
% 9.64/2.02  ------ Schedule dynamic 5 is on 
% 9.64/2.02  
% 9.64/2.02  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.64/2.02  
% 9.64/2.02  
% 9.64/2.02  ------ 
% 9.64/2.02  Current options:
% 9.64/2.02  ------ 
% 9.64/2.02  
% 9.64/2.02  
% 9.64/2.02  
% 9.64/2.02  
% 9.64/2.02  ------ Proving...
% 9.64/2.02  
% 9.64/2.02  
% 9.64/2.02  % SZS status Unsatisfiable for theBenchmark.p
% 9.64/2.02  
% 9.64/2.02  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.64/2.02  
% 9.64/2.02  
%------------------------------------------------------------------------------