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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : GRP291-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:39:12 PM UTC 2026

% Result   : Unsatisfiable 0.73s 0.64s
% Output   : CNFRefutation 0.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   50
%            Number of leaves      :   25
% Syntax   : Number of clauses     :  166 (  20 unt; 140 nHn; 151 RR)
%            Number of literals    :  399 ( 398 equ;  65 neg)
%            Maximal clause size   :   10 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   42 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(associativity,axiom,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(left_inverse,axiom,
    multiply(inverse(X1),X1) = identity,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(left_identity,axiom,
    multiply(identity,X1) = X1,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(prove_this_6,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

cnf(prove_this_10,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

cnf(prove_this_11,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

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

cnf(prove_this_15,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

cnf(prove_this_14,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

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

cnf(prove_this_4,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

cnf(prove_this_1,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

cnf(prove_this_26,negated_conjecture,
    ( multiply(X4,sk_c5) != sk_c6
    | inverse(X4) != sk_c6
    | multiply(X3,sk_c6) != sk_c7
    | inverse(X3) != sk_c7
    | multiply(sk_c6,sk_c7) != sk_c5
    | inverse(X2) != sk_c5
    | multiply(X2,sk_c5) != sk_c7
    | inverse(X1) != sk_c7
    | multiply(X1,sk_c7) != sk_c6
    | multiply(sk_c7,sk_c6) != sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

cnf(prove_this_22,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | inverse(sk_c2) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

cnf(prove_this_24,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c2) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

cnf(prove_this_25,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | inverse(sk_c2) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

cnf(prove_this_21,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | inverse(sk_c2) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

cnf(prove_this_23,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | inverse(sk_c2) = sk_c5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

cnf(prove_this_12,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

cnf(prove_this_13,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

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

cnf(prove_this_20,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | multiply(sk_c2,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

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

cnf(prove_this_8,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

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

cnf(c_0_25,axiom,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    associativity ).

cnf(c_0_26,axiom,
    multiply(inverse(X1),X1) = identity,
    left_inverse ).

cnf(c_0_27,axiom,
    multiply(identity,X1) = X1,
    left_identity ).

cnf(c_0_28,plain,
    multiply(inverse(X1),multiply(X1,X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).

cnf(c_0_29,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    prove_this_6 ).

cnf(c_0_30,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    prove_this_10 ).

cnf(c_0_31,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(inverse(sk_c1),sk_c6) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | inverse(sk_c1) = sk_c7 ),
    prove_this_11 ).

cnf(c_0_33,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(inverse(sk_c4),sk_c6) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_28,c_0_30]) ).

cnf(c_0_34,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c7
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_35,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(inverse(inverse(sk_c4)),sk_c5) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_28,c_0_33]) ).

cnf(c_0_36,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    prove_this_9 ).

cnf(c_0_37,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c7
    | multiply(inverse(sk_c6),sk_c5) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_28,c_0_34]) ).

cnf(c_0_38,negated_conjecture,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | multiply(inverse(sk_c6),sk_c5) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    ( sk_c6 = sk_c7
    | multiply(sk_c7,sk_c6) = sk_c7
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_40,negated_conjecture,
    ( sk_c6 = sk_c7
    | multiply(sk_c7,sk_c6) = sk_c7
    | multiply(inverse(sk_c1),sk_c6) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_28,c_0_39]) ).

cnf(c_0_41,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    prove_this_15 ).

cnf(c_0_42,negated_conjecture,
    ( sk_c6 = sk_c7
    | multiply(sk_c7,sk_c6) = sk_c7
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_43,negated_conjecture,
    ( multiply(sk_c6,sk_c6) = sk_c5
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_33,c_0_36]) ).

cnf(c_0_44,negated_conjecture,
    ( sk_c6 = sk_c7
    | multiply(sk_c7,sk_c6) = sk_c7
    | multiply(inverse(sk_c4),sk_c6) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_28,c_0_42]) ).

cnf(c_0_45,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c1) = sk_c7 ),
    prove_this_14 ).

cnf(c_0_46,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    prove_this_5 ).

cnf(c_0_47,negated_conjecture,
    ( multiply(sk_c6,sk_c6) = sk_c5
    | multiply(inverse(sk_c1),sk_c6) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_28,c_0_43]) ).

cnf(c_0_48,negated_conjecture,
    ( sk_c6 = sk_c7
    | inverse(sk_c1) = sk_c7
    | multiply(sk_c6,sk_c6) = sk_c5
    | multiply(sk_c7,sk_c6) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_49,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | multiply(inverse(sk_c4),sk_c6) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_28,c_0_46]) ).

cnf(c_0_50,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    prove_this_4 ).

cnf(c_0_51,negated_conjecture,
    ( sk_c6 = sk_c7
    | multiply(sk_c7,sk_c6) = sk_c7
    | multiply(sk_c6,sk_c6) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_52,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    prove_this_1 ).

cnf(c_0_53,negated_conjecture,
    ( multiply(sk_c6,sk_c6) = sk_c5
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_54,negated_conjecture,
    ( sk_c6 = sk_c7
    | multiply(sk_c7,sk_c6) = sk_c7
    | multiply(inverse(sk_c6),sk_c5) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_28,c_0_51]) ).

cnf(c_0_55,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | multiply(inverse(sk_c6),sk_c5) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_28,c_0_52]) ).

cnf(c_0_56,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | multiply(inverse(sk_c6),sk_c5) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_28,c_0_53]) ).

cnf(c_0_57,plain,
    multiply(inverse(inverse(X1)),X2) = multiply(X1,X2),
    inference(spm,[status(thm)],[c_0_28,c_0_28]) ).

cnf(c_0_58,negated_conjecture,
    ( sk_c6 = sk_c7
    | multiply(sk_c7,sk_c6) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_37,c_0_54]) ).

cnf(c_0_59,negated_conjecture,
    ( sk_c6 = sk_c7
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_60,plain,
    multiply(X1,identity) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_26]),c_0_57]) ).

cnf(c_0_61,negated_conjecture,
    ( identity = sk_c6
    | sk_c6 = sk_c7 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_58]),c_0_26]) ).

cnf(c_0_62,negated_conjecture,
    ( sk_c5 = sk_c7
    | sk_c6 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_59,c_0_58]) ).

cnf(c_0_63,negated_conjecture,
    ( sk_c6 = sk_c7
    | multiply(X1,sk_c6) = X1 ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_64,negated_conjecture,
    ( sk_c6 = sk_c7
    | multiply(sk_c1,sk_c7) = sk_c6
    | multiply(inverse(sk_c6),sk_c7) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_38,c_0_62]) ).

cnf(c_0_65,negated_conjecture,
    ( sk_c6 = sk_c7
    | inverse(sk_c6) = identity ),
    inference(spm,[status(thm)],[c_0_26,c_0_63]) ).

cnf(c_0_66,negated_conjecture,
    ( sk_c6 = sk_c7
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_27])]) ).

cnf(c_0_67,negated_conjecture,
    ( sk_c6 = sk_c7
    | multiply(inverse(sk_c1),sk_c6) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_28,c_0_66]) ).

cnf(c_0_68,plain,
    inverse(inverse(X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_60]),c_0_60]) ).

cnf(c_0_69,negated_conjecture,
    ( sk_c6 = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_63,c_0_67]) ).

cnf(c_0_70,negated_conjecture,
    ( multiply(X4,sk_c5) != sk_c6
    | inverse(X4) != sk_c6
    | multiply(X3,sk_c6) != sk_c7
    | inverse(X3) != sk_c7
    | multiply(sk_c6,sk_c7) != sk_c5
    | inverse(X2) != sk_c5
    | multiply(X2,sk_c5) != sk_c7
    | inverse(X1) != sk_c7
    | multiply(X1,sk_c7) != sk_c6
    | multiply(sk_c7,sk_c6) != sk_c5 ),
    inference(fof_simplification,[status(thm)],[prove_this_26]) ).

cnf(c_0_71,negated_conjecture,
    ( sk_c6 = sk_c7
    | multiply(inverse(sk_c7),sk_c5) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_28,c_0_59]) ).

cnf(c_0_72,negated_conjecture,
    ( sk_c6 = sk_c7
    | inverse(sk_c7) = sk_c1 ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_73,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | inverse(sk_c2) = sk_c5 ),
    prove_this_22 ).

cnf(c_0_74,negated_conjecture,
    ( multiply(X4,sk_c5) != sk_c6
    | inverse(X4) != sk_c6
    | multiply(X3,sk_c6) != sk_c7
    | inverse(X3) != sk_c7
    | multiply(sk_c6,sk_c7) != sk_c5
    | inverse(X2) != sk_c5
    | multiply(X2,sk_c5) != sk_c7
    | inverse(X1) != sk_c7
    | multiply(X1,sk_c7) != sk_c6
    | multiply(sk_c7,sk_c6) != sk_c5 ),
    c_0_70 ).

cnf(c_0_75,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | inverse(sk_c2) = sk_c5 ),
    prove_this_24 ).

cnf(c_0_76,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | inverse(sk_c2) = sk_c5 ),
    prove_this_25 ).

cnf(c_0_77,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | inverse(sk_c2) = sk_c5 ),
    prove_this_21 ).

cnf(c_0_78,negated_conjecture,
    ( sk_c6 = sk_c7
    | multiply(sk_c1,sk_c5) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_79,negated_conjecture,
    ( inverse(sk_c5) = sk_c2
    | inverse(sk_c3) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_68,c_0_73]) ).

cnf(c_0_80,negated_conjecture,
    ( inverse(X3) != sk_c7
    | inverse(X2) != sk_c5
    | inverse(X1) != sk_c7
    | multiply(X3,sk_c7) != sk_c6
    | multiply(X2,sk_c5) != sk_c7
    | multiply(X1,sk_c6) != sk_c7
    | multiply(sk_c7,sk_c6) != sk_c5
    | inverse(sk_c2) = sk_c5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_77]) ).

cnf(c_0_81,negated_conjecture,
    ( sk_c6 = sk_c7
    | multiply(inverse(sk_c1),sk_c6) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_28,c_0_78]) ).

cnf(c_0_82,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | inverse(sk_c2) = sk_c5 ),
    prove_this_23 ).

cnf(c_0_83,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    prove_this_12 ).

cnf(c_0_84,negated_conjecture,
    ( inverse(sk_c7) = sk_c3
    | inverse(sk_c5) = sk_c2 ),
    inference(spm,[status(thm)],[c_0_68,c_0_79]) ).

cnf(c_0_85,negated_conjecture,
    ( inverse(X2) != sk_c7
    | inverse(X1) != sk_c5
    | multiply(X2,sk_c7) != sk_c6
    | multiply(X1,sk_c5) != sk_c7
    | multiply(sk_c7,sk_c6) != sk_c5
    | multiply(inverse(sk_c7),sk_c6) != sk_c7
    | inverse(sk_c2) = sk_c5 ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_68])]) ).

cnf(c_0_86,negated_conjecture,
    ( sk_c6 = sk_c7
    | inverse(sk_c1) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_63,c_0_81]) ).

cnf(c_0_87,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | inverse(sk_c1) = sk_c7 ),
    prove_this_13 ).

cnf(c_0_88,negated_conjecture,
    ( inverse(sk_c5) = sk_c2
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_68,c_0_82]) ).

cnf(c_0_89,negated_conjecture,
    ( inverse(sk_c7) = sk_c1
    | inverse(sk_c3) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_68,c_0_83]) ).

cnf(c_0_90,negated_conjecture,
    ( sk_c6 = sk_c7
    | inverse(sk_c7) = sk_c2
    | inverse(sk_c7) = sk_c3 ),
    inference(spm,[status(thm)],[c_0_84,c_0_62]) ).

cnf(c_0_91,negated_conjecture,
    ( inverse(X1) != sk_c7
    | multiply(X1,sk_c7) != sk_c6
    | multiply(sk_c1,sk_c5) != sk_c7
    | multiply(inverse(sk_c7),sk_c6) != sk_c7
    | sk_c6 = sk_c7
    | inverse(sk_c2) = sk_c5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_59]) ).

cnf(c_0_92,plain,
    multiply(inverse(identity),X1) = X1,
    inference(spm,[status(thm)],[c_0_28,c_0_27]) ).

cnf(c_0_93,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c2,sk_c5) = sk_c7 ),
    prove_this_16 ).

cnf(c_0_94,negated_conjecture,
    ( inverse(sk_c7) = sk_c1
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_68,c_0_87]) ).

cnf(c_0_95,negated_conjecture,
    ( sk_c6 = sk_c7
    | inverse(sk_c7) = sk_c2
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_88,c_0_62]) ).

cnf(c_0_96,negated_conjecture,
    ( inverse(sk_c7) = sk_c3
    | inverse(sk_c7) = sk_c1 ),
    inference(spm,[status(thm)],[c_0_68,c_0_89]) ).

cnf(c_0_97,negated_conjecture,
    ( sk_c2 != sk_c3
    | sk_c6 = sk_c7
    | inverse(sk_c7) = sk_c3 ),
    inference(ef,[status(thm)],[c_0_90]) ).

cnf(c_0_98,negated_conjecture,
    ( multiply(sk_c1,sk_c5) != sk_c7
    | multiply(inverse(sk_c7),sk_c6) != sk_c7
    | sk_c6 = sk_c7
    | inverse(sk_c2) = sk_c5 ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_68])]),c_0_26]),c_0_61]) ).

cnf(c_0_99,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c1,multiply(sk_c7,X1)) = multiply(sk_c6,X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_29]) ).

cnf(c_0_100,plain,
    inverse(identity) = identity,
    inference(spm,[status(thm)],[c_0_92,c_0_60]) ).

cnf(c_0_101,negated_conjecture,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | multiply(inverse(sk_c2),sk_c7) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_28,c_0_93]) ).

cnf(c_0_102,negated_conjecture,
    ( sk_c2 = sk_c1
    | sk_c6 = sk_c7
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_103,negated_conjecture,
    ( sk_c2 = sk_c1
    | sk_c6 = sk_c7
    | inverse(sk_c7) = sk_c3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_90]),c_0_97]) ).

cnf(c_0_104,negated_conjecture,
    ( multiply(sk_c1,sk_c7) != sk_c7
    | multiply(inverse(sk_c7),sk_c6) != sk_c7
    | sk_c6 = sk_c7
    | inverse(sk_c2) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_98,c_0_62]) ).

cnf(c_0_105,negated_conjecture,
    ( sk_c6 = sk_c7
    | multiply(sk_c6,sk_c7) = sk_c5
    | multiply(sk_c1,sk_c7) = multiply(sk_c6,sk_c6) ),
    inference(spm,[status(thm)],[c_0_99,c_0_58]) ).

cnf(c_0_106,negated_conjecture,
    ( sk_c6 = sk_c7
    | inverse(sk_c6) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_100,c_0_61]) ).

cnf(c_0_107,negated_conjecture,
    ( multiply(sk_c5,sk_c7) = sk_c5
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_101,c_0_77]) ).

cnf(c_0_108,negated_conjecture,
    ( sk_c6 = sk_c7
    | sk_c2 = sk_c1
    | multiply(inverse(sk_c3),sk_c7) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_28,c_0_102]) ).

cnf(c_0_109,negated_conjecture,
    ( sk_c6 = sk_c7
    | sk_c2 = sk_c1
    | inverse(sk_c3) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_68,c_0_103]) ).

cnf(c_0_110,negated_conjecture,
    ( multiply(sk_c6,sk_c6) != sk_c7
    | multiply(inverse(sk_c7),sk_c6) != sk_c7
    | sk_c6 = sk_c7
    | inverse(sk_c2) = sk_c7
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_111,negated_conjecture,
    ( sk_c6 = sk_c7
    | multiply(sk_c6,sk_c6) = identity ),
    inference(spm,[status(thm)],[c_0_26,c_0_106]) ).

cnf(c_0_112,negated_conjecture,
    ( identity = sk_c7
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_107]),c_0_26]) ).

cnf(c_0_113,negated_conjecture,
    ( sk_c2 = sk_c1
    | sk_c6 = sk_c7
    | multiply(sk_c7,sk_c7) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_114,negated_conjecture,
    ( multiply(inverse(sk_c7),sk_c6) != sk_c7
    | sk_c6 = sk_c7
    | inverse(sk_c2) = sk_c7
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]) ).

cnf(c_0_115,negated_conjecture,
    ( sk_c6 = sk_c7
    | sk_c2 = sk_c1
    | multiply(inverse(sk_c7),sk_c6) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_28,c_0_113]) ).

cnf(c_0_116,negated_conjecture,
    ( sk_c6 = sk_c7
    | sk_c2 = sk_c1
    | inverse(sk_c2) = sk_c7
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_117,negated_conjecture,
    ( inverse(sk_c7) = sk_c1
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_68,c_0_32]) ).

cnf(c_0_118,negated_conjecture,
    ( sk_c2 = sk_c1
    | sk_c6 = sk_c7
    | inverse(sk_c7) = sk_c2
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_68,c_0_116]) ).

cnf(c_0_119,negated_conjecture,
    ( inverse(sk_c6) = sk_c4
    | inverse(sk_c2) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_68,c_0_75]) ).

cnf(c_0_120,negated_conjecture,
    ( multiply(sk_c4,sk_c5) = sk_c6
    | multiply(sk_c2,sk_c5) = sk_c7 ),
    prove_this_20 ).

cnf(c_0_121,negated_conjecture,
    ( sk_c2 = sk_c1
    | sk_c6 = sk_c7
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_122,negated_conjecture,
    ( inverse(sk_c5) = sk_c2
    | inverse(sk_c6) = sk_c4 ),
    inference(spm,[status(thm)],[c_0_68,c_0_119]) ).

cnf(c_0_123,negated_conjecture,
    ( sk_c6 = sk_c7
    | inverse(sk_c5) = sk_c1 ),
    inference(spm,[status(thm)],[c_0_68,c_0_86]) ).

cnf(c_0_124,negated_conjecture,
    ( multiply(sk_c2,sk_c5) = sk_c7
    | multiply(inverse(sk_c4),sk_c6) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_28,c_0_120]) ).

cnf(c_0_125,negated_conjecture,
    ( sk_c6 = sk_c7
    | sk_c2 = sk_c1
    | multiply(inverse(sk_c6),sk_c5) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_28,c_0_121]) ).

cnf(c_0_126,negated_conjecture,
    ( sk_c2 = sk_c1
    | sk_c6 = sk_c7
    | inverse(sk_c6) = sk_c4 ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_127,negated_conjecture,
    ( multiply(sk_c2,sk_c5) = sk_c7
    | multiply(inverse(inverse(sk_c4)),sk_c5) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_28,c_0_124]) ).

cnf(c_0_128,negated_conjecture,
    ( inverse(sk_c4) = sk_c6
    | multiply(sk_c2,sk_c5) = sk_c7 ),
    prove_this_19 ).

cnf(c_0_129,negated_conjecture,
    ( multiply(sk_c5,sk_c2) = identity
    | multiply(sk_c4,sk_c5) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_26,c_0_76]) ).

cnf(c_0_130,negated_conjecture,
    ( sk_c2 = sk_c1
    | sk_c6 = sk_c7
    | multiply(sk_c4,sk_c5) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_131,negated_conjecture,
    ( multiply(sk_c2,sk_c5) = sk_c7
    | multiply(inverse(sk_c6),sk_c5) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_132,negated_conjecture,
    ( sk_c6 = sk_c7
    | sk_c2 = sk_c1
    | multiply(sk_c5,sk_c2) = identity ),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_133,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    prove_this_8 ).

cnf(c_0_134,negated_conjecture,
    ( sk_c6 = sk_c7
    | multiply(sk_c2,sk_c7) = sk_c7
    | multiply(inverse(sk_c6),sk_c7) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_131,c_0_62]) ).

cnf(c_0_135,negated_conjecture,
    ( sk_c2 = sk_c1
    | sk_c6 = sk_c7
    | inverse(sk_c5) = sk_c2 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_132]),c_0_60]) ).

cnf(c_0_136,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | multiply(inverse(sk_c1),sk_c6) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_28,c_0_133]) ).

cnf(c_0_137,negated_conjecture,
    ( sk_c6 = sk_c7
    | multiply(sk_c2,sk_c7) = sk_c7 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_65]),c_0_27])]) ).

cnf(c_0_138,negated_conjecture,
    ( sk_c2 = sk_c1
    | sk_c6 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_123,c_0_135]) ).

cnf(c_0_139,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c7
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_136,c_0_87]) ).

cnf(c_0_140,negated_conjecture,
    ( sk_c6 = sk_c7
    | multiply(sk_c1,sk_c7) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_141,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | multiply(sk_c7,sk_c1) = identity ),
    inference(spm,[status(thm)],[c_0_26,c_0_83]) ).

cnf(c_0_142,negated_conjecture,
    ( multiply(sk_c7,sk_c6) = sk_c7
    | multiply(inverse(sk_c3),sk_c7) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_28,c_0_139]) ).

cnf(c_0_143,negated_conjecture,
    ( inverse(sk_c3) = sk_c7
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    prove_this_7 ).

cnf(c_0_144,negated_conjecture,
    sk_c6 = sk_c7,
    inference(spm,[status(thm)],[c_0_66,c_0_140]) ).

cnf(c_0_145,negated_conjecture,
    ( multiply(sk_c7,sk_c3) = identity
    | multiply(sk_c7,sk_c1) = identity ),
    inference(spm,[status(thm)],[c_0_26,c_0_141]) ).

cnf(c_0_146,negated_conjecture,
    ( multiply(sk_c7,sk_c7) = sk_c6
    | multiply(sk_c7,sk_c6) = sk_c7
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_147,negated_conjecture,
    multiply(sk_c7,sk_c7) = sk_c5,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_144]),c_0_144]),c_0_144])]) ).

cnf(c_0_148,negated_conjecture,
    ( multiply(sk_c7,sk_c3) = identity
    | multiply(sk_c7,multiply(sk_c1,X1)) = X1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_145]),c_0_27]) ).

cnf(c_0_149,negated_conjecture,
    ( sk_c5 = sk_c7
    | multiply(sk_c1,sk_c7) = sk_c7 ),
    inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_144]),c_0_144]),c_0_144])]),c_0_147]) ).

cnf(c_0_150,negated_conjecture,
    ( multiply(sk_c3,sk_c6) = sk_c7
    | multiply(inverse(inverse(sk_c1)),sk_c7) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_28,c_0_136]) ).

cnf(c_0_151,negated_conjecture,
    ( sk_c5 = sk_c7
    | multiply(sk_c7,sk_c3) = identity ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_147])]) ).

cnf(c_0_152,negated_conjecture,
    ( identity = sk_c6
    | multiply(sk_c3,sk_c6) = sk_c7 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_87]),c_0_26]) ).

cnf(c_0_153,negated_conjecture,
    ( sk_c5 = sk_c7
    | inverse(sk_c7) = sk_c3 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_151]),c_0_60]) ).

cnf(c_0_154,negated_conjecture,
    ( identity = sk_c7
    | multiply(sk_c3,sk_c7) = sk_c7 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_144]),c_0_144]) ).

cnf(c_0_155,negated_conjecture,
    ( sk_c5 = sk_c7
    | multiply(sk_c3,sk_c7) = identity ),
    inference(spm,[status(thm)],[c_0_26,c_0_153]) ).

cnf(c_0_156,negated_conjecture,
    ( identity = sk_c7
    | sk_c5 = sk_c7 ),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_157,negated_conjecture,
    ( sk_c5 = sk_c7
    | inverse(sk_c7) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_100,c_0_156]) ).

cnf(c_0_158,negated_conjecture,
    ( identity = sk_c5
    | sk_c5 = sk_c7 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_157]),c_0_147]) ).

cnf(c_0_159,negated_conjecture,
    multiply(inverse(sk_c7),sk_c5) = sk_c7,
    inference(spm,[status(thm)],[c_0_28,c_0_147]) ).

cnf(c_0_160,negated_conjecture,
    sk_c5 = sk_c7,
    inference(spm,[status(thm)],[c_0_156,c_0_158]) ).

cnf(c_0_161,negated_conjecture,
    identity = sk_c7,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_160]),c_0_26]) ).

cnf(c_0_162,negated_conjecture,
    ( identity != sk_c6
    | sk_c5 != sk_c6
    | inverse(X3) != sk_c7
    | inverse(X2) != sk_c5
    | inverse(X1) != sk_c7
    | multiply(X3,sk_c7) != sk_c6
    | multiply(X2,sk_c5) != sk_c7
    | multiply(X1,sk_c6) != sk_c7
    | multiply(sk_c6,sk_c7) != sk_c5
    | multiply(sk_c7,sk_c6) != sk_c5 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_100]),c_0_27]) ).

cnf(c_0_163,plain,
    multiply(X1,sk_c7) = X1,
    inference(rw,[status(thm)],[c_0_60,c_0_161]) ).

cnf(c_0_164,plain,
    inverse(sk_c7) = sk_c7,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_161]),c_0_161]) ).

cnf(c_0_165,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_144]),c_0_144]),c_0_144]),c_0_144]),c_0_144]),c_0_144])]),c_0_163]),c_0_160]),c_0_163]),c_0_160]),c_0_163]),c_0_163]),c_0_160]),c_0_160]),c_0_161])])])])]),c_0_164])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP291-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n002.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 20 20:11:16 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.64  % Version: 3.5.1
% 0.73/0.64  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.73/0.64  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.73/0.64  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.73/0.64  % Starting new_bool_3 with 300s (1) cores
% 0.73/0.64  % Starting new_bool_1 with 300s (1) cores
% 0.73/0.64  % Starting sh5l with 300s (1) cores
% 0.73/0.64  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1600183 completed with status 0
% 0.73/0.64  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.73/0.64  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.73/0.64  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.73/0.64  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.73/0.64  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.73/0.64  % No SInE strategy applied
% 0.73/0.64  % Search class: FGHPS-FFMM21-SFFFFFNN
% 0.73/0.64  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.73/0.64  % Starting SubtermCWHack with 136s (1) cores
% 0.73/0.64  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.73/0.64  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.73/0.64  % Starting new_bool_3 with 136s (1) cores
% 0.73/0.64  % Starting new_bool_1 with 136s (1) cores
% 0.73/0.64  % new_bool_3 with pid 1600192 completed with status 0
% 0.73/0.64  % Result found by new_bool_3
% 0.73/0.64  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.73/0.64  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.73/0.64  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.73/0.64  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.73/0.64  % No SInE strategy applied
% 0.73/0.64  % Search class: FGHPS-FFMM21-SFFFFFNN
% 0.73/0.64  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.73/0.64  % Starting SubtermCWHack with 136s (1) cores
% 0.73/0.64  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.73/0.64  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.73/0.64  % Starting new_bool_3 with 136s (1) cores
% 0.73/0.64  % Preprocessing time       : 0.001 s
% 0.73/0.64  % Presaturation interreduction done
% 0.73/0.64  
% 0.73/0.64  % Proof found!
% 0.73/0.64  % SZS status Unsatisfiable
% 0.73/0.64  % SZS output start CNFRefutation
% See solution above
% 0.73/0.64  % Parsed axioms                        : 29
% 0.73/0.64  % Removed by relevancy pruning/SinE    : 0
% 0.73/0.64  % Initial clauses                      : 29
% 0.73/0.64  % Removed in clause preprocessing      : 0
% 0.73/0.64  % Initial clauses in saturation        : 29
% 0.73/0.64  % Processed clauses                    : 2947
% 0.73/0.64  % ...of these trivial                  : 518
% 0.73/0.64  % ...subsumed                          : 1377
% 0.73/0.64  % ...remaining for further processing  : 1052
% 0.73/0.64  % Other redundant clauses eliminated   : 53
% 0.73/0.64  % Clauses deleted for lack of memory   : 0
% 0.73/0.64  % Backward-subsumed                    : 219
% 0.73/0.64  % Backward-rewritten                   : 777
% 0.73/0.64  % Generated clauses                    : 16630
% 0.73/0.64  % ...of the previous two non-redundant : 15011
% 0.73/0.64  % ...aggressively subsumed             : 0
% 0.73/0.64  % Contextual simplify-reflections      : 114
% 0.73/0.64  % Paramodulations                      : 16570
% 0.73/0.64  % Factorizations                       : 9
% 0.73/0.64  % NegExts                              : 0
% 0.73/0.64  % Equation resolutions                 : 53
% 0.73/0.64  % Disequality decompositions           : 0
% 0.73/0.64  % Total rewrite steps                  : 6671
% 0.73/0.64  % ...of those cached                   : 6207
% 0.73/0.64  % Propositional unsat checks           : 0
% 0.73/0.64  %    Propositional check models        : 0
% 0.73/0.64  %    Propositional check unsatisfiable : 0
% 0.73/0.64  %    Propositional clauses             : 0
% 0.73/0.64  %    Propositional clauses after purity: 0
% 0.73/0.64  %    Propositional unsat core size     : 0
% 0.73/0.64  %    Propositional preprocessing time  : 0.000
% 0.73/0.64  %    Propositional encoding time       : 0.000
% 0.73/0.64  %    Propositional solver time         : 0.000
% 0.73/0.64  %    Success case prop preproc time    : 0.000
% 0.73/0.64  %    Success case prop encoding time   : 0.000
% 0.73/0.64  %    Success case prop solver time     : 0.000
% 0.73/0.64  % Current number of processed clauses  : 26
% 0.73/0.64  %    Positive orientable unit clauses  : 26
% 0.73/0.64  %    Positive unorientable unit clauses: 0
% 0.73/0.64  %    Negative unit clauses             : 0
% 0.73/0.64  %    Non-unit-clauses                  : 0
% 0.73/0.64  % Current number of unprocessed clauses: 3974
% 0.73/0.64  % ...number of literals in the above   : 25751
% 0.73/0.64  % Current number of archived formulas  : 0
% 0.73/0.64  % Current number of archived clauses   : 1025
% 0.73/0.64  % Clause-clause subsumption calls (NU) : 20462
% 0.73/0.64  % Rec. Clause-clause subsumption calls : 4889
% 0.73/0.64  % Non-unit clause-clause subsumptions  : 1702
% 0.73/0.64  % Unit Clause-clause subsumption calls : 177
% 0.73/0.64  % Rewrite failures with RHS unbound    : 0
% 0.73/0.64  % BW rewrite match attempts            : 36
% 0.73/0.64  % BW rewrite match successes           : 29
% 0.73/0.64  % Condensation attempts                : 0
% 0.73/0.64  % Condensation successes               : 0
% 0.73/0.64  % Termbank termtop insertions          : 272037
% 0.73/0.64  % Search garbage collected termcells   : 27
% 0.73/0.64  
% 0.73/0.64  % -------------------------------------------------
% 0.73/0.64  % User time                : 0.188 s
% 0.73/0.64  % System time              : 0.010 s
% 0.73/0.64  % Total time               : 0.197 s
% 0.73/0.64  % Maximum resident set size: 3644 pages
% 0.73/0.64  
% 0.73/0.64  % -------------------------------------------------
% 0.73/0.64  % User time                : 0.904 s
% 0.73/0.64  % System time              : 0.045 s
% 0.73/0.64  % Total time               : 0.949 s
% 0.73/0.64  % Maximum resident set size: 4608 pages
% 0.73/0.64  % E exiting
%------------------------------------------------------------------------------