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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : GRP357-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 12:39:23 PM UTC 2026

% Result   : Unsatisfiable 2.29s 0.70s
% Output   : CNFRefutation 2.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   93 (  25 unt;  61 nHn;  74 RR)
%            Number of literals    :  195 ( 194 equ;  46 neg)
%            Maximal clause size   :   11 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   45 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(associativity,axiom,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).

cnf(left_inverse,axiom,
    multiply(inverse(X1),X1) = identity,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).

cnf(left_identity,axiom,
    multiply(identity,X1) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).

cnf(prove_this_24,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c1) = sk_c2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

cnf(prove_this_23,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c5
    | inverse(sk_c1) = sk_c2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

cnf(prove_this_18,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

cnf(prove_this_22,negated_conjecture,
    ( multiply(sk_c8,sk_c5) = sk_c7
    | inverse(sk_c1) = sk_c2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

cnf(prove_this_17,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c5
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

cnf(prove_this_21,negated_conjecture,
    ( inverse(sk_c3) = sk_c8
    | inverse(sk_c1) = sk_c2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

cnf(prove_this_16,negated_conjecture,
    ( multiply(sk_c8,sk_c5) = sk_c7
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

cnf(prove_this_15,negated_conjecture,
    ( inverse(sk_c3) = sk_c8
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

cnf(prove_this_20,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | inverse(sk_c1) = sk_c2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

cnf(prove_this_14,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

cnf(prove_this_9,negated_conjecture,
    ( inverse(sk_c3) = sk_c8
    | inverse(sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

cnf(prove_this_8,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | inverse(sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

cnf(prove_this_7,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | inverse(sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

cnf(prove_this_3,negated_conjecture,
    ( inverse(sk_c3) = sk_c8
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

cnf(prove_this_31,negated_conjecture,
    ( inverse(X5) != sk_c8
    | multiply(X5,sk_c8) != X4
    | multiply(sk_c8,X4) != sk_c7
    | inverse(X3) != sk_c8
    | multiply(X3,sk_c8) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(X2,sk_c7) != sk_c8
    | inverse(X1) != X2
    | multiply(X1,X2) != sk_c8
    | inverse(sk_c8) != sk_c6
    | multiply(sk_c7,sk_c6) != sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

cnf(prove_this_2,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

cnf(c_0_19,axiom,
    multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
    associativity ).

cnf(c_0_20,axiom,
    multiply(inverse(X1),X1) = identity,
    left_inverse ).

cnf(c_0_21,axiom,
    multiply(identity,X1) = X1,
    left_identity ).

cnf(c_0_22,plain,
    multiply(inverse(X1),multiply(X1,X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).

cnf(c_0_23,plain,
    multiply(inverse(inverse(X1)),identity) = X1,
    inference(spm,[status(thm)],[c_0_22,c_0_20]) ).

cnf(c_0_24,plain,
    multiply(inverse(inverse(inverse(X1))),X1) = identity,
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_25,plain,
    inverse(inverse(X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_24]),c_0_23]) ).

cnf(c_0_26,plain,
    multiply(X1,inverse(X1)) = identity,
    inference(spm,[status(thm)],[c_0_20,c_0_25]) ).

cnf(c_0_27,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | inverse(sk_c1) = sk_c2 ),
    prove_this_24 ).

cnf(c_0_28,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c5
    | inverse(sk_c1) = sk_c2 ),
    prove_this_23 ).

cnf(c_0_29,negated_conjecture,
    ( inverse(sk_c1) = sk_c2
    | multiply(sk_c4,sk_c8) = identity ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_30,negated_conjecture,
    ( multiply(sk_c2,sk_c1) = identity
    | multiply(sk_c4,sk_c8) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_20,c_0_28]) ).

cnf(c_0_31,negated_conjecture,
    ( multiply(sk_c2,sk_c1) = identity
    | multiply(sk_c4,sk_c8) = identity ),
    inference(spm,[status(thm)],[c_0_20,c_0_29]) ).

cnf(c_0_32,negated_conjecture,
    ( inverse(sk_c4) = sk_c8
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    prove_this_18 ).

cnf(c_0_33,negated_conjecture,
    ( identity = sk_c5
    | multiply(sk_c2,sk_c1) = identity ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_34,plain,
    multiply(X1,identity) = X1,
    inference(rw,[status(thm)],[c_0_23,c_0_25]) ).

cnf(c_0_35,negated_conjecture,
    ( multiply(sk_c8,sk_c5) = sk_c7
    | inverse(sk_c1) = sk_c2 ),
    prove_this_22 ).

cnf(c_0_36,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = sk_c5
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    prove_this_17 ).

cnf(c_0_37,negated_conjecture,
    ( multiply(sk_c4,sk_c8) = identity
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_26,c_0_32]) ).

cnf(c_0_38,negated_conjecture,
    ( identity = sk_c5
    | inverse(sk_c2) = sk_c1 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_33]),c_0_34]) ).

cnf(c_0_39,negated_conjecture,
    ( inverse(sk_c3) = sk_c8
    | inverse(sk_c1) = sk_c2 ),
    prove_this_21 ).

cnf(c_0_40,negated_conjecture,
    ( multiply(sk_c8,sk_c5) = sk_c7
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    prove_this_16 ).

cnf(c_0_41,negated_conjecture,
    ( multiply(sk_c1,sk_c2) = identity
    | multiply(sk_c8,sk_c5) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_26,c_0_35]) ).

cnf(c_0_42,negated_conjecture,
    ( identity = sk_c5
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_43,negated_conjecture,
    ( identity = sk_c5
    | multiply(sk_c1,sk_c2) = identity ),
    inference(spm,[status(thm)],[c_0_20,c_0_38]) ).

cnf(c_0_44,negated_conjecture,
    ( inverse(sk_c3) = sk_c8
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    prove_this_15 ).

cnf(c_0_45,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | inverse(sk_c1) = sk_c2 ),
    prove_this_20 ).

cnf(c_0_46,negated_conjecture,
    ( inverse(sk_c1) = sk_c2
    | multiply(sk_c3,sk_c8) = identity ),
    inference(spm,[status(thm)],[c_0_26,c_0_39]) ).

cnf(c_0_47,plain,
    multiply(X1,multiply(X2,inverse(multiply(X1,X2)))) = identity,
    inference(spm,[status(thm)],[c_0_19,c_0_26]) ).

cnf(c_0_48,negated_conjecture,
    ( identity = sk_c8
    | multiply(sk_c8,sk_c5) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_49,negated_conjecture,
    ( identity = sk_c8
    | identity = sk_c5 ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_50,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    prove_this_14 ).

cnf(c_0_51,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = identity
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_26,c_0_44]) ).

cnf(c_0_52,negated_conjecture,
    ( multiply(sk_c1,sk_c2) = identity
    | multiply(sk_c3,sk_c8) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_26,c_0_45]) ).

cnf(c_0_53,negated_conjecture,
    ( multiply(sk_c1,sk_c2) = identity
    | multiply(sk_c3,sk_c8) = identity ),
    inference(spm,[status(thm)],[c_0_26,c_0_46]) ).

cnf(c_0_54,plain,
    multiply(X1,inverse(multiply(X2,X1))) = inverse(X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_47]),c_0_34]) ).

cnf(c_0_55,negated_conjecture,
    ( identity = sk_c8
    | multiply(inverse(sk_c8),sk_c7) = sk_c5 ),
    inference(spm,[status(thm)],[c_0_22,c_0_48]) ).

cnf(c_0_56,negated_conjecture,
    ( identity = sk_c8
    | multiply(sk_c5,X1) = X1 ),
    inference(spm,[status(thm)],[c_0_21,c_0_49]) ).

cnf(c_0_57,negated_conjecture,
    ( identity = sk_c7
    | multiply(sk_c1,sk_c2) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_58,negated_conjecture,
    ( identity = sk_c7
    | multiply(sk_c1,sk_c2) = identity ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_59,negated_conjecture,
    ( identity = sk_c8
    | multiply(sk_c7,inverse(sk_c5)) = sk_c8 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_25]) ).

cnf(c_0_60,negated_conjecture,
    ( identity = sk_c8
    | inverse(sk_c5) = identity ),
    inference(spm,[status(thm)],[c_0_26,c_0_56]) ).

cnf(c_0_61,plain,
    multiply(inverse(identity),X1) = X1,
    inference(spm,[status(thm)],[c_0_22,c_0_21]) ).

cnf(c_0_62,negated_conjecture,
    ( identity = sk_c8
    | identity = sk_c7 ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_63,negated_conjecture,
    ( sk_c7 = sk_c8
    | identity = sk_c8 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_34]) ).

cnf(c_0_64,negated_conjecture,
    ( inverse(sk_c3) = sk_c8
    | inverse(sk_c8) = sk_c6 ),
    prove_this_9 ).

cnf(c_0_65,plain,
    multiply(inverse(inverse(identity)),X1) = X1,
    inference(spm,[status(thm)],[c_0_22,c_0_61]) ).

cnf(c_0_66,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | inverse(sk_c8) = sk_c6 ),
    prove_this_8 ).

cnf(c_0_67,negated_conjecture,
    identity = sk_c8,
    inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_62]),c_0_63]) ).

cnf(c_0_68,negated_conjecture,
    ( inverse(sk_c8) = sk_c3
    | inverse(sk_c8) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_25,c_0_64]) ).

cnf(c_0_69,plain,
    inverse(identity) = identity,
    inference(spm,[status(thm)],[c_0_20,c_0_65]) ).

cnf(c_0_70,negated_conjecture,
    ( inverse(sk_c6) = sk_c8
    | multiply(sk_c3,sk_c8) = sk_c7 ),
    inference(spm,[status(thm)],[c_0_25,c_0_66]) ).

cnf(c_0_71,plain,
    multiply(X1,sk_c8) = X1,
    inference(rw,[status(thm)],[c_0_34,c_0_67]) ).

cnf(c_0_72,negated_conjecture,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | inverse(sk_c8) = sk_c6 ),
    prove_this_7 ).

cnf(c_0_73,negated_conjecture,
    ( sk_c3 != sk_c6
    | inverse(sk_c8) = sk_c6 ),
    inference(ef,[status(thm)],[c_0_68]) ).

cnf(c_0_74,plain,
    inverse(sk_c8) = sk_c8,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_67]),c_0_67]) ).

cnf(c_0_75,negated_conjecture,
    ( sk_c3 = sk_c7
    | inverse(sk_c6) = sk_c8 ),
    inference(rw,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_76,negated_conjecture,
    ( inverse(sk_c3) = sk_c8
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    prove_this_3 ).

cnf(c_0_77,negated_conjecture,
    ( inverse(sk_c6) = sk_c8
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    inference(spm,[status(thm)],[c_0_25,c_0_72]) ).

cnf(c_0_78,plain,
    multiply(sk_c8,X1) = X1,
    inference(rw,[status(thm)],[c_0_21,c_0_67]) ).

cnf(c_0_79,negated_conjecture,
    ( sk_c3 != sk_c6
    | sk_c6 = sk_c8 ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_80,negated_conjecture,
    ( sk_c6 = sk_c8
    | sk_c3 = sk_c7 ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_75]),c_0_74]) ).

cnf(c_0_81,negated_conjecture,
    ( inverse(X5) != sk_c8
    | multiply(X5,sk_c8) != X4
    | multiply(sk_c8,X4) != sk_c7
    | inverse(X3) != sk_c8
    | multiply(X3,sk_c8) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(X2,sk_c7) != sk_c8
    | inverse(X1) != X2
    | multiply(X1,X2) != sk_c8
    | inverse(sk_c8) != sk_c6
    | multiply(sk_c7,sk_c6) != sk_c8 ),
    inference(fof_simplification,[status(thm)],[prove_this_31]) ).

cnf(c_0_82,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = sk_c7
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    prove_this_2 ).

cnf(c_0_83,negated_conjecture,
    ( multiply(sk_c3,sk_c8) = identity
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_26,c_0_76]) ).

cnf(c_0_84,negated_conjecture,
    ( sk_c6 = sk_c7
    | inverse(sk_c6) = sk_c8 ),
    inference(rw,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_85,negated_conjecture,
    ( sk_c6 != sk_c7
    | sk_c6 = sk_c8 ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_86,negated_conjecture,
    ( inverse(X5) != sk_c8
    | multiply(X5,sk_c8) != X4
    | multiply(sk_c8,X4) != sk_c7
    | inverse(X3) != sk_c8
    | multiply(X3,sk_c8) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(X2,sk_c7) != sk_c8
    | inverse(X1) != X2
    | multiply(X1,X2) != sk_c8
    | inverse(sk_c8) != sk_c6
    | multiply(sk_c7,sk_c6) != sk_c8 ),
    c_0_81 ).

cnf(c_0_87,negated_conjecture,
    ( identity = sk_c7
    | multiply(sk_c7,sk_c6) = sk_c8 ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_88,negated_conjecture,
    sk_c6 = sk_c8,
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_84]),c_0_74]),c_0_85]) ).

cnf(c_0_89,negated_conjecture,
    ( identity != sk_c8
    | inverse(X3) != sk_c8
    | inverse(X1) != sk_c8
    | inverse(sk_c8) != sk_c6
    | multiply(X3,sk_c8) != sk_c7
    | multiply(sk_c8,sk_c7) != sk_c6
    | multiply(sk_c7,sk_c6) != sk_c8
    | multiply(inverse(X2),sk_c7) != sk_c8
    | multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7 ),
    inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_86])]),c_0_26]) ).

cnf(c_0_90,negated_conjecture,
    sk_c7 = sk_c8,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_67]),c_0_88]),c_0_71])]) ).

cnf(c_0_91,negated_conjecture,
    inverse(X1) != sk_c8,
    inference(cn,[status(thm)],[inference(rw,[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(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)],[c_0_89,c_0_67])]),c_0_71]),c_0_78]),c_0_90]),c_0_90]),c_0_71]),c_0_90]),c_0_88]),c_0_71]),c_0_78]),c_0_90]),c_0_88]),c_0_71]),c_0_90]),c_0_74]),c_0_88])])])]),c_0_74])]) ).

cnf(c_0_92,plain,
    $false,
    inference(sr,[status(thm)],[c_0_74,c_0_91]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GRP357-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n020.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 20 20:11:17 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 2.29/0.70  % Version: 3.5.1
% 2.29/0.70  % Preprocessing class: FSMSSMSMSSSNFFN.
% 2.29/0.70  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.29/0.70  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 2.29/0.70  % Starting new_bool_3 with 300s (1) cores
% 2.29/0.70  % Starting new_bool_1 with 300s (1) cores
% 2.29/0.70  % Starting sh5l with 300s (1) cores
% 2.29/0.70  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1121941 completed with status 0
% 2.29/0.70  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 2.29/0.70  % Preprocessing class: FSMSSMSMSSSNFFN.
% 2.29/0.70  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.29/0.70  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 2.29/0.70  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.29/0.70  % No SInE strategy applied
% 2.29/0.70  % Search class: FGHPS-FFMM21-SFFFFFNN
% 2.29/0.70  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.29/0.70  % Starting SubtermCWHack with 136s (1) cores
% 2.29/0.70  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 2.29/0.70  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2.29/0.70  % Starting new_bool_3 with 136s (1) cores
% 2.29/0.70  % Starting new_bool_1 with 136s (1) cores
% 2.29/0.70  % SubtermCWHack with pid 1121945 completed with status 0
% 2.29/0.70  % Result found by SubtermCWHack
% 2.29/0.70  % Preprocessing class: FSMSSMSMSSSNFFN.
% 2.29/0.70  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.29/0.70  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 2.29/0.70  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.29/0.70  % No SInE strategy applied
% 2.29/0.70  % Search class: FGHPS-FFMM21-SFFFFFNN
% 2.29/0.70  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.29/0.70  % Starting SubtermCWHack with 136s (1) cores
% 2.29/0.70  % Preprocessing time       : 0.001 s
% 2.29/0.70  
% 2.29/0.70  % Proof found!
% 2.29/0.70  % SZS status Unsatisfiable
% 2.29/0.70  % SZS output start CNFRefutation
% See solution above
% 2.29/0.70  % Parsed axioms                        : 34
% 2.29/0.70  % Removed by relevancy pruning/SinE    : 0
% 2.29/0.70  % Initial clauses                      : 34
% 2.29/0.70  % Removed in clause preprocessing      : 0
% 2.29/0.70  % Initial clauses in saturation        : 34
% 2.29/0.70  % Processed clauses                    : 7019
% 2.29/0.70  % ...of these trivial                  : 167
% 2.29/0.70  % ...subsumed                          : 5823
% 2.29/0.70  % ...remaining for further processing  : 1029
% 2.29/0.70  % Other redundant clauses eliminated   : 4
% 2.29/0.70  % Clauses deleted for lack of memory   : 0
% 2.29/0.70  % Backward-subsumed                    : 40
% 2.29/0.70  % Backward-rewritten                   : 705
% 2.29/0.70  % Generated clauses                    : 31817
% 2.29/0.70  % ...of the previous two non-redundant : 30458
% 2.29/0.70  % ...aggressively subsumed             : 0
% 2.29/0.70  % Contextual simplify-reflections      : 6
% 2.29/0.70  % Paramodulations                      : 31771
% 2.29/0.70  % Factorizations                       : 9
% 2.29/0.70  % NegExts                              : 0
% 2.29/0.70  % Equation resolutions                 : 4
% 2.29/0.70  % Disequality decompositions           : 0
% 2.29/0.70  % Total rewrite steps                  : 15715
% 2.29/0.70  % ...of those cached                   : 14647
% 2.29/0.70  % Propositional unsat checks           : 0
% 2.29/0.70  %    Propositional check models        : 0
% 2.29/0.70  %    Propositional check unsatisfiable : 0
% 2.29/0.70  %    Propositional clauses             : 0
% 2.29/0.70  %    Propositional clauses after purity: 0
% 2.29/0.70  %    Propositional unsat core size     : 0
% 2.29/0.70  %    Propositional preprocessing time  : 0.000
% 2.29/0.70  %    Propositional encoding time       : 0.000
% 2.29/0.70  %    Propositional solver time         : 0.000
% 2.29/0.70  %    Success case prop preproc time    : 0.000
% 2.29/0.70  %    Success case prop encoding time   : 0.000
% 2.29/0.70  %    Success case prop solver time     : 0.000
% 2.29/0.70  % Current number of processed clauses  : 247
% 2.29/0.70  %    Positive orientable unit clauses  : 20
% 2.29/0.70  %    Positive unorientable unit clauses: 0
% 2.29/0.70  %    Negative unit clauses             : 1
% 2.29/0.70  %    Non-unit-clauses                  : 226
% 2.29/0.70  % Current number of unprocessed clauses: 6566
% 2.29/0.70  % ...number of literals in the above   : 15964
% 2.29/0.70  % Current number of archived formulas  : 0
% 2.29/0.70  % Current number of archived clauses   : 780
% 2.29/0.70  % Clause-clause subsumption calls (NU) : 51722
% 2.29/0.70  % Rec. Clause-clause subsumption calls : 48591
% 2.29/0.70  % Non-unit clause-clause subsumptions  : 5847
% 2.29/0.70  % Unit Clause-clause subsumption calls : 778
% 2.29/0.70  % Rewrite failures with RHS unbound    : 0
% 2.29/0.70  % BW rewrite match attempts            : 100
% 2.29/0.70  % BW rewrite match successes           : 50
% 2.29/0.70  % Condensation attempts                : 0
% 2.29/0.70  % Condensation successes               : 0
% 2.29/0.70  % Termbank termtop insertions          : 241092
% 2.29/0.70  % Search garbage collected termcells   : 29
% 2.29/0.70  
% 2.29/0.70  % -------------------------------------------------
% 2.29/0.70  % User time                : 0.251 s
% 2.29/0.70  % System time              : 0.018 s
% 2.29/0.70  % Total time               : 0.269 s
% 2.29/0.70  % Maximum resident set size: 3392 pages
% 2.29/0.70  
% 2.29/0.70  % -------------------------------------------------
% 2.29/0.70  % User time                : 1.286 s
% 2.29/0.70  % System time              : 0.062 s
% 2.29/0.70  % Total time               : 1.348 s
% 2.29/0.70  % Maximum resident set size: 4608 pages
% 2.29/0.70  % E exiting
%------------------------------------------------------------------------------