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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : FLD054-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 12:22:52 PM UTC 2026

% Result   : Unsatisfiable 25.16s 9.13s
% Output   : CNFRefutation 25.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   23
% Syntax   : Number of clauses     :  109 (  51 unt;   4 nHn; 109 RR)
%            Number of literals    :  227 (   0 equ; 123 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-1 aty)
%            Number of variables   :  189 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(existence_of_identity_multiplication,axiom,
    ( ~ defined(X1)
    | product(multiplicative_identity,X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).

cnf(associativity_multiplication_1,axiom,
    ( ~ product(X5,X6,X3)
    | ~ product(X4,X6,X2)
    | ~ product(X1,X4,X5)
    | product(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).

cnf(b_is_defined,hypothesis,
    defined(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).

cnf(a_is_defined,hypothesis,
    defined(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).

cnf(commutativity_multiplication,axiom,
    ( ~ product(X2,X1,X3)
    | product(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).

cnf(distributivity_2,axiom,
    ( ~ sum(X6,X7,X3)
    | ~ product(X5,X2,X7)
    | ~ product(X4,X2,X6)
    | ~ sum(X4,X5,X1)
    | product(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',distributivity_2) ).

cnf(commutativity_addition,axiom,
    ( ~ sum(X2,X1,X3)
    | sum(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).

cnf(product_10,negated_conjecture,
    product(a,b,l),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_10) ).

cnf(sum_9,negated_conjecture,
    sum(a,b,k),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_9) ).

cnf(sum_8,negated_conjecture,
    sum(multiplicative_inverse(a),multiplicative_inverse(b),u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_8) ).

cnf(existence_of_inverse_multiplication,axiom,
    ( ~ defined(X1)
    | sum(additive_identity,X1,additive_identity)
    | product(multiplicative_inverse(X1),X1,multiplicative_identity) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).

cnf(not_sum_6,negated_conjecture,
    ~ sum(additive_identity,a,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_6) ).

cnf(not_sum_7,negated_conjecture,
    ~ sum(additive_identity,b,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_7) ).

cnf(existence_of_identity_addition,axiom,
    ( ~ defined(X1)
    | sum(additive_identity,X1,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).

cnf(u_is_defined,hypothesis,
    defined(u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).

cnf(l_is_defined,hypothesis,
    defined(l),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l_is_defined) ).

cnf(associativity_addition_2,axiom,
    ( ~ sum(X4,X6,X3)
    | ~ sum(X5,X2,X6)
    | ~ sum(X4,X5,X1)
    | sum(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_2) ).

cnf(not_product_11,negated_conjecture,
    ~ product(k,multiplicative_inverse(l),u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_11) ).

cnf(well_definedness_of_additive_identity,axiom,
    defined(additive_identity),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).

cnf(distributivity_1,axiom,
    ( ~ product(X5,X7,X2)
    | ~ product(X4,X7,X1)
    | ~ product(X6,X7,X3)
    | ~ sum(X4,X5,X6)
    | sum(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',distributivity_1) ).

cnf(associativity_multiplication_2,axiom,
    ( ~ product(X4,X6,X3)
    | ~ product(X5,X2,X6)
    | ~ product(X4,X5,X1)
    | product(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).

cnf(associativity_addition_1,axiom,
    ( ~ sum(X5,X6,X3)
    | ~ sum(X4,X6,X2)
    | ~ sum(X1,X4,X5)
    | sum(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).

cnf(existence_of_inverse_addition,axiom,
    ( ~ defined(X1)
    | sum(additive_inverse(X1),X1,additive_identity) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).

cnf(c_0_23,plain,
    ( ~ defined(X1)
    | product(multiplicative_identity,X1,X1) ),
    inference(fof_simplification,[status(thm)],[existence_of_identity_multiplication]) ).

cnf(c_0_24,plain,
    ( ~ product(X5,X6,X3)
    | ~ product(X4,X6,X2)
    | ~ product(X1,X4,X5)
    | product(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[associativity_multiplication_1]) ).

cnf(c_0_25,plain,
    ( ~ defined(X1)
    | product(multiplicative_identity,X1,X1) ),
    c_0_23 ).

cnf(c_0_26,hypothesis,
    defined(b),
    b_is_defined ).

cnf(c_0_27,hypothesis,
    defined(a),
    a_is_defined ).

cnf(c_0_28,plain,
    ( ~ product(X2,X1,X3)
    | product(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[commutativity_multiplication]) ).

cnf(c_0_29,plain,
    ( ~ sum(X6,X7,X3)
    | ~ product(X5,X2,X7)
    | ~ product(X4,X2,X6)
    | ~ sum(X4,X5,X1)
    | product(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[distributivity_2]) ).

cnf(c_0_30,plain,
    ( ~ sum(X2,X1,X3)
    | sum(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[commutativity_addition]) ).

cnf(c_0_31,plain,
    ( ~ product(X5,X6,X3)
    | ~ product(X4,X6,X2)
    | ~ product(X1,X4,X5)
    | product(X1,X2,X3) ),
    c_0_24 ).

cnf(c_0_32,hypothesis,
    product(multiplicative_identity,b,b),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_33,hypothesis,
    product(multiplicative_identity,a,a),
    inference(spm,[status(thm)],[c_0_25,c_0_27]) ).

cnf(c_0_34,plain,
    ( ~ product(X2,X1,X3)
    | product(X1,X2,X3) ),
    c_0_28 ).

cnf(c_0_35,negated_conjecture,
    product(a,b,l),
    product_10 ).

cnf(c_0_36,plain,
    ( ~ sum(X6,X7,X3)
    | ~ product(X5,X2,X7)
    | ~ product(X4,X2,X6)
    | ~ sum(X4,X5,X1)
    | product(X1,X2,X3) ),
    c_0_29 ).

cnf(c_0_37,negated_conjecture,
    sum(a,b,k),
    sum_9 ).

cnf(c_0_38,plain,
    ( ~ sum(X2,X1,X3)
    | sum(X1,X2,X3) ),
    c_0_30 ).

cnf(c_0_39,negated_conjecture,
    sum(multiplicative_inverse(a),multiplicative_inverse(b),u),
    sum_8 ).

cnf(c_0_40,hypothesis,
    ( ~ product(X1,X3,multiplicative_identity)
    | ~ product(X3,b,X2)
    | product(X1,X2,b) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_41,plain,
    ( ~ defined(X1)
    | sum(additive_identity,X1,additive_identity)
    | product(multiplicative_inverse(X1),X1,multiplicative_identity) ),
    inference(fof_simplification,[status(thm)],[existence_of_inverse_multiplication]) ).

cnf(c_0_42,negated_conjecture,
    ~ sum(additive_identity,a,additive_identity),
    inference(fof_simplification,[status(thm)],[not_sum_6]) ).

cnf(c_0_43,hypothesis,
    ( ~ product(X1,X3,multiplicative_identity)
    | ~ product(X3,a,X2)
    | product(X1,X2,a) ),
    inference(spm,[status(thm)],[c_0_31,c_0_33]) ).

cnf(c_0_44,negated_conjecture,
    product(b,a,l),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_45,negated_conjecture,
    ~ sum(additive_identity,b,additive_identity),
    inference(fof_simplification,[status(thm)],[not_sum_7]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ sum(X4,X3,X1)
    | ~ product(X4,X2,a)
    | ~ product(X3,X2,b)
    | product(X1,X2,k) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_47,negated_conjecture,
    sum(multiplicative_inverse(b),multiplicative_inverse(a),u),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_48,negated_conjecture,
    ( ~ product(X1,a,multiplicative_identity)
    | product(X1,l,b) ),
    inference(spm,[status(thm)],[c_0_40,c_0_35]) ).

cnf(c_0_49,plain,
    ( ~ defined(X1)
    | sum(additive_identity,X1,additive_identity)
    | product(multiplicative_inverse(X1),X1,multiplicative_identity) ),
    c_0_41 ).

cnf(c_0_50,negated_conjecture,
    ~ sum(additive_identity,a,additive_identity),
    c_0_42 ).

cnf(c_0_51,negated_conjecture,
    ( ~ product(X1,b,multiplicative_identity)
    | product(X1,l,a) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_52,negated_conjecture,
    ~ sum(additive_identity,b,additive_identity),
    c_0_45 ).

cnf(c_0_53,plain,
    ( ~ defined(X1)
    | sum(additive_identity,X1,X1) ),
    inference(fof_simplification,[status(thm)],[existence_of_identity_addition]) ).

cnf(c_0_54,hypothesis,
    defined(u),
    u_is_defined ).

cnf(c_0_55,negated_conjecture,
    ( ~ product(multiplicative_inverse(b),X1,a)
    | ~ product(multiplicative_inverse(a),X1,b)
    | product(u,X1,k) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_56,negated_conjecture,
    product(multiplicative_inverse(a),l,b),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_27])]),c_0_50]) ).

cnf(c_0_57,negated_conjecture,
    product(multiplicative_inverse(b),l,a),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_49]),c_0_26])]),c_0_52]) ).

cnf(c_0_58,plain,
    ( ~ defined(X1)
    | sum(additive_identity,X1,X1) ),
    c_0_53 ).

cnf(c_0_59,hypothesis,
    defined(l),
    l_is_defined ).

cnf(c_0_60,hypothesis,
    product(multiplicative_identity,u,u),
    inference(spm,[status(thm)],[c_0_25,c_0_54]) ).

cnf(c_0_61,negated_conjecture,
    product(u,l,k),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).

cnf(c_0_62,plain,
    ( ~ sum(X4,X6,X3)
    | ~ sum(X5,X2,X6)
    | ~ sum(X4,X5,X1)
    | sum(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[associativity_addition_2]) ).

cnf(c_0_63,hypothesis,
    sum(additive_identity,l,l),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_64,hypothesis,
    ( ~ product(X1,X3,multiplicative_identity)
    | ~ product(X3,u,X2)
    | product(X1,X2,u) ),
    inference(spm,[status(thm)],[c_0_31,c_0_60]) ).

cnf(c_0_65,negated_conjecture,
    product(l,u,k),
    inference(spm,[status(thm)],[c_0_34,c_0_61]) ).

cnf(c_0_66,plain,
    ( ~ sum(X4,X6,X3)
    | ~ sum(X5,X2,X6)
    | ~ sum(X4,X5,X1)
    | sum(X1,X2,X3) ),
    c_0_62 ).

cnf(c_0_67,hypothesis,
    sum(l,additive_identity,l),
    inference(spm,[status(thm)],[c_0_38,c_0_63]) ).

cnf(c_0_68,hypothesis,
    ( ~ product(X1,l,multiplicative_identity)
    | product(X1,k,u) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_69,negated_conjecture,
    ~ product(k,multiplicative_inverse(l),u),
    inference(fof_simplification,[status(thm)],[not_product_11]) ).

cnf(c_0_70,axiom,
    defined(additive_identity),
    well_definedness_of_additive_identity ).

cnf(c_0_71,hypothesis,
    ( ~ sum(X3,l,X1)
    | ~ sum(X3,l,X2)
    | sum(X1,additive_identity,X2) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_72,hypothesis,
    ( sum(additive_identity,l,additive_identity)
    | product(multiplicative_inverse(l),k,u) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_49]),c_0_59])]) ).

cnf(c_0_73,negated_conjecture,
    ~ product(k,multiplicative_inverse(l),u),
    c_0_69 ).

cnf(c_0_74,plain,
    sum(additive_identity,additive_identity,additive_identity),
    inference(spm,[status(thm)],[c_0_58,c_0_70]) ).

cnf(c_0_75,hypothesis,
    ( ~ sum(additive_identity,l,X1)
    | sum(X1,additive_identity,l) ),
    inference(spm,[status(thm)],[c_0_71,c_0_63]) ).

cnf(c_0_76,hypothesis,
    sum(additive_identity,l,additive_identity),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_72]),c_0_73]) ).

cnf(c_0_77,plain,
    ( ~ product(X5,X7,X2)
    | ~ product(X4,X7,X1)
    | ~ product(X6,X7,X3)
    | ~ sum(X4,X5,X6)
    | sum(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[distributivity_1]) ).

cnf(c_0_78,plain,
    ( ~ product(X4,X6,X3)
    | ~ product(X5,X2,X6)
    | ~ product(X4,X5,X1)
    | product(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[associativity_multiplication_2]) ).

cnf(c_0_79,plain,
    ( ~ sum(X4,X3,X1)
    | ~ product(X4,X2,additive_identity)
    | ~ product(X3,X2,additive_identity)
    | product(X1,X2,additive_identity) ),
    inference(spm,[status(thm)],[c_0_36,c_0_74]) ).

cnf(c_0_80,hypothesis,
    sum(additive_identity,additive_identity,l),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_81,plain,
    product(multiplicative_identity,additive_identity,additive_identity),
    inference(spm,[status(thm)],[c_0_25,c_0_70]) ).

cnf(c_0_82,plain,
    ( ~ product(X5,X7,X2)
    | ~ product(X4,X7,X1)
    | ~ product(X6,X7,X3)
    | ~ sum(X4,X5,X6)
    | sum(X1,X2,X3) ),
    c_0_77 ).

cnf(c_0_83,plain,
    ( ~ product(X4,X6,X3)
    | ~ product(X5,X2,X6)
    | ~ product(X4,X5,X1)
    | product(X1,X2,X3) ),
    c_0_78 ).

cnf(c_0_84,negated_conjecture,
    product(l,multiplicative_inverse(a),b),
    inference(spm,[status(thm)],[c_0_34,c_0_56]) ).

cnf(c_0_85,hypothesis,
    ( ~ product(additive_identity,X1,additive_identity)
    | product(l,X1,additive_identity) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_86,plain,
    product(additive_identity,multiplicative_identity,additive_identity),
    inference(spm,[status(thm)],[c_0_34,c_0_81]) ).

cnf(c_0_87,hypothesis,
    ( ~ product(additive_identity,X4,X1)
    | ~ product(l,X4,X2)
    | ~ product(l,X4,X3)
    | sum(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_82,c_0_63]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ product(X3,l,X1)
    | ~ product(X3,b,X2)
    | product(X1,multiplicative_inverse(a),X2) ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_89,hypothesis,
    product(l,multiplicative_identity,additive_identity),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_90,plain,
    ( ~ sum(X5,X6,X3)
    | ~ sum(X4,X6,X2)
    | ~ sum(X1,X4,X5)
    | sum(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[associativity_addition_1]) ).

cnf(c_0_91,hypothesis,
    ( ~ product(additive_identity,multiplicative_inverse(a),X1)
    | ~ product(l,multiplicative_inverse(a),X2)
    | sum(X1,X2,b) ),
    inference(spm,[status(thm)],[c_0_87,c_0_84]) ).

cnf(c_0_92,hypothesis,
    ( ~ product(multiplicative_identity,l,X1)
    | product(X1,multiplicative_inverse(a),b) ),
    inference(spm,[status(thm)],[c_0_88,c_0_32]) ).

cnf(c_0_93,hypothesis,
    product(multiplicative_identity,l,additive_identity),
    inference(spm,[status(thm)],[c_0_34,c_0_89]) ).

cnf(c_0_94,hypothesis,
    sum(additive_identity,b,b),
    inference(spm,[status(thm)],[c_0_58,c_0_26]) ).

cnf(c_0_95,plain,
    ( ~ sum(X5,X6,X3)
    | ~ sum(X4,X6,X2)
    | ~ sum(X1,X4,X5)
    | sum(X1,X2,X3) ),
    c_0_90 ).

cnf(c_0_96,negated_conjecture,
    ( ~ product(additive_identity,multiplicative_inverse(a),X1)
    | sum(X1,b,b) ),
    inference(spm,[status(thm)],[c_0_91,c_0_84]) ).

cnf(c_0_97,hypothesis,
    product(additive_identity,multiplicative_inverse(a),b),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_98,hypothesis,
    sum(b,additive_identity,b),
    inference(spm,[status(thm)],[c_0_38,c_0_94]) ).

cnf(c_0_99,plain,
    ( ~ defined(X1)
    | sum(additive_inverse(X1),X1,additive_identity) ),
    inference(fof_simplification,[status(thm)],[existence_of_inverse_addition]) ).

cnf(c_0_100,hypothesis,
    ( ~ sum(X1,X3,additive_identity)
    | ~ sum(X3,b,X2)
    | sum(X1,X2,b) ),
    inference(spm,[status(thm)],[c_0_95,c_0_94]) ).

cnf(c_0_101,negated_conjecture,
    sum(b,b,b),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_102,hypothesis,
    ( ~ sum(X3,b,X1)
    | ~ sum(X3,b,X2)
    | sum(X1,additive_identity,X2) ),
    inference(spm,[status(thm)],[c_0_66,c_0_98]) ).

cnf(c_0_103,plain,
    ( ~ defined(X1)
    | sum(additive_inverse(X1),X1,additive_identity) ),
    c_0_99 ).

cnf(c_0_104,hypothesis,
    ( ~ sum(X1,b,additive_identity)
    | sum(X1,b,b) ),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_105,hypothesis,
    ( ~ sum(additive_inverse(b),b,X1)
    | sum(X1,additive_identity,additive_identity) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_26])]) ).

cnf(c_0_106,hypothesis,
    sum(additive_inverse(b),b,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_103]),c_0_26])]) ).

cnf(c_0_107,hypothesis,
    sum(b,additive_identity,additive_identity),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_108,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_107]),c_0_52]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : FLD054-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.40  % Computer : n003.cluster.edu
% 0.11/5.40  % Model    : x86_64 x86_64
% 0.11/5.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.40  % Memory   : 8046.5625MB
% 0.11/5.40  % OS       : Linux 6.8.0-71-generic
% 0.11/5.40  % CPULimit : 300
% 0.11/5.40  % WCLimit  : 300
% 0.11/5.40  % DateTime : Mon Sep 21 15:44:22 UTC 2026
% 0.17/5.40  % CPUTime  : 
% 0.17/5.40  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/5.45  Running first-order theorem proving
% 0.17/5.46  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
% 25.16/9.13  % Version: 3.5.1
% 25.16/9.13  % Preprocessing class: FSMSSMSSSSSNFFN.
% 25.16/9.13  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 25.16/9.13  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 25.16/9.13  % Starting new_bool_3 with 300s (1) cores
% 25.16/9.13  % Starting new_bool_1 with 300s (1) cores
% 25.16/9.13  % Starting sh5l with 300s (1) cores
% 25.16/9.13  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 471423 completed with status 0
% 25.16/9.13  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 25.16/9.13  % Preprocessing class: FSMSSMSSSSSNFFN.
% 25.16/9.13  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 25.16/9.13  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 25.16/9.13  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 25.16/9.13  % No SInE strategy applied
% 25.16/9.13  % Search class: FGUNF-FFMM21-SFFFFFNN
% 25.16/9.13  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 25.16/9.13  % Starting SubtermCWHack with 136s (1) cores
% 25.16/9.13  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 25.16/9.13  % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 296s (1) cores
% 25.16/9.13  % Starting new_bool_3 with 269s (1) cores
% 25.16/9.13  % Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 136s (1) cores
% 25.16/9.13  % G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with pid 471434 completed with status 0
% 25.16/9.13  % Result found by G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN
% 25.16/9.13  % Preprocessing class: FSMSSMSSSSSNFFN.
% 25.16/9.13  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 25.16/9.13  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 25.16/9.13  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 25.16/9.13  % No SInE strategy applied
% 25.16/9.13  % Search class: FGUNF-FFMM21-SFFFFFNN
% 25.16/9.13  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 25.16/9.13  % Starting SubtermCWHack with 136s (1) cores
% 25.16/9.13  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 25.16/9.13  % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 296s (1) cores
% 25.16/9.13  % Starting new_bool_3 with 269s (1) cores
% 25.16/9.13  % Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 136s (1) cores
% 25.16/9.13  % Preprocessing time       : 0.002 s
% 25.16/9.13  % Presaturation interreduction done
% 25.16/9.13  
% 25.16/9.13  % Proof found!
% 25.16/9.13  % SZS status Unsatisfiable
% 25.16/9.13  % SZS output start CNFRefutation
% See solution above
% 25.16/9.13  % Parsed axioms                        : 37
% 25.16/9.13  % Removed by relevancy pruning/SinE    : 0
% 25.16/9.13  % Initial clauses                      : 37
% 25.16/9.13  % Removed in clause preprocessing      : 0
% 25.16/9.13  % Initial clauses in saturation        : 37
% 25.16/9.13  % Processed clauses                    : 5088
% 25.16/9.13  % ...of these trivial                  : 241
% 25.16/9.13  % ...subsumed                          : 281
% 25.16/9.13  % ...remaining for further processing  : 4566
% 25.16/9.13  % Other redundant clauses eliminated   : 0
% 25.16/9.13  % Clauses deleted for lack of memory   : 0
% 25.16/9.13  % Backward-subsumed                    : 5
% 25.16/9.13  % Backward-rewritten                   : 37
% 25.16/9.13  % Generated clauses                    : 136159
% 25.16/9.13  % ...of the previous two non-redundant : 128665
% 25.16/9.13  % ...aggressively subsumed             : 0
% 25.16/9.13  % Contextual simplify-reflections      : 0
% 25.16/9.13  % Paramodulations                      : 136157
% 25.16/9.13  % Factorizations                       : 2
% 25.16/9.13  % NegExts                              : 0
% 25.16/9.13  % Equation resolutions                 : 0
% 25.16/9.13  % Disequality decompositions           : 0
% 25.16/9.13  % Total rewrite steps                  : 13701
% 25.16/9.13  % ...of those cached                   : 12372
% 25.16/9.13  % Propositional unsat checks           : 0
% 25.16/9.13  %    Propositional check models        : 0
% 25.16/9.13  %    Propositional check unsatisfiable : 0
% 25.16/9.13  %    Propositional clauses             : 0
% 25.16/9.13  %    Propositional clauses after purity: 0
% 25.16/9.13  %    Propositional unsat core size     : 0
% 25.16/9.13  %    Propositional preprocessing time  : 0.000
% 25.16/9.13  %    Propositional encoding time       : 0.000
% 25.16/9.13  %    Propositional solver time         : 0.000
% 25.16/9.13  %    Success case prop preproc time    : 0.000
% 25.16/9.13  %    Success case prop encoding time   : 0.000
% 25.16/9.13  %    Success case prop solver time     : 0.000
% 25.16/9.13  % Current number of processed clauses  : 4487
% 25.16/9.13  %    Positive orientable unit clauses  : 1932
% 25.16/9.13  %    Positive unorientable unit clauses: 0
% 25.16/9.13  %    Negative unit clauses             : 4
% 25.16/9.13  %    Non-unit-clauses                  : 2551
% 25.16/9.13  % Current number of unprocessed clauses: 123650
% 25.16/9.13  % ...number of literals in the above   : 397308
% 25.16/9.13  % Current number of archived formulas  : 0
% 25.16/9.13  % Current number of archived clauses   : 79
% 25.16/9.13  % Clause-clause subsumption calls (NU) : 369259
% 25.16/9.13  % Rec. Clause-clause subsumption calls : 283760
% 25.16/9.13  % Non-unit clause-clause subsumptions  : 283
% 25.16/9.13  % Unit Clause-clause subsumption calls : 120274
% 25.16/9.13  % Rewrite failures with RHS unbound    : 0
% 25.16/9.13  % BW rewrite match attempts            : 1544
% 25.16/9.13  % BW rewrite match successes           : 11
% 25.16/9.13  % Condensation attempts                : 0
% 25.16/9.13  % Condensation successes               : 0
% 25.16/9.13  % Termbank termtop insertions          : 2417243
% 25.16/9.13  % Search garbage collected termcells   : 120
% 25.16/9.13  
% 25.16/9.13  % -------------------------------------------------
% 25.16/9.13  % User time                : 3.426 s
% 25.16/9.13  % System time              : 0.137 s
% 25.16/9.13  % Total time               : 3.563 s
% 25.16/9.13  % Maximum resident set size: 3664 pages
% 25.16/9.13  
% 25.16/9.13  % -------------------------------------------------
% 25.16/9.13  % User time                : 17.350 s
% 25.16/9.13  % System time              : 0.608 s
% 25.16/9.13  % Total time               : 17.958 s
% 25.16/9.13  % Maximum resident set size: 4864 pages
% 25.16/9.13  % E exiting
%------------------------------------------------------------------------------