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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : FLD035-1 : 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 : 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 12:22:47 PM UTC 2026

% Result   : Unsatisfiable 215.32s 31.88s
% Output   : CNFRefutation 215.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   89 (  36 unt;  20 nHn;  89 RR)
%            Number of literals    :  208 (   0 equ; 105 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :  107 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(associativity_multiplication,axiom,
    ( ~ defined(X3)
    | ~ defined(X2)
    | ~ defined(X1)
    | equalish(multiply(X1,multiply(X2,X3)),multiply(multiply(X1,X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',associativity_multiplication) ).

cnf(compatibility_of_equality_and_multiplication,axiom,
    ( ~ equalish(X1,X3)
    | ~ defined(X2)
    | equalish(multiply(X1,X2),multiply(X3,X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_multiplication) ).

cnf(existence_of_inverse_multiplication,axiom,
    ( ~ defined(X1)
    | equalish(X1,additive_identity)
    | equalish(multiply(X1,multiplicative_inverse(X1)),multiplicative_identity) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_multiplication) ).

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

cnf(existence_of_identity_multiplication,axiom,
    ( ~ defined(X1)
    | equalish(multiply(multiplicative_identity,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_identity_multiplication) ).

cnf(transitivity_of_equality,axiom,
    ( ~ equalish(X3,X2)
    | ~ equalish(X1,X3)
    | equalish(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).

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

cnf(well_definedness_of_multiplicative_inverse,axiom,
    ( ~ defined(X1)
    | equalish(X1,additive_identity)
    | defined(multiplicative_inverse(X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_inverse) ).

cnf(c_not_equal_to_additive_identity_5,negated_conjecture,
    ~ equalish(c,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_not_equal_to_additive_identity_5) ).

cnf(symmetry_of_equality,axiom,
    ( ~ equalish(X2,X1)
    | equalish(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).

cnf(commutativity_multiplication,axiom,
    ( ~ defined(X2)
    | ~ defined(X1)
    | equalish(multiply(X1,X2),multiply(X2,X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',commutativity_multiplication) ).

cnf(well_definedness_of_multiplication,axiom,
    ( ~ defined(X2)
    | ~ defined(X1)
    | defined(multiply(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplication) ).

cnf(multiply_equals_multiply_4,negated_conjecture,
    equalish(multiply(a,c),multiply(b,c)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply_equals_multiply_4) ).

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

cnf(a_not_equal_to_b_6,negated_conjecture,
    ~ equalish(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_b_6) ).

cnf(c_0_15,plain,
    ( ~ defined(X3)
    | ~ defined(X2)
    | ~ defined(X1)
    | equalish(multiply(X1,multiply(X2,X3)),multiply(multiply(X1,X2),X3)) ),
    inference(fof_simplification,[status(thm)],[associativity_multiplication]) ).

cnf(c_0_16,plain,
    ( ~ equalish(X1,X3)
    | ~ defined(X2)
    | equalish(multiply(X1,X2),multiply(X3,X2)) ),
    inference(fof_simplification,[status(thm)],[compatibility_of_equality_and_multiplication]) ).

cnf(c_0_17,plain,
    ( ~ defined(X1)
    | equalish(X1,additive_identity)
    | equalish(multiply(X1,multiplicative_inverse(X1)),multiplicative_identity) ),
    inference(fof_simplification,[status(thm)],[existence_of_inverse_multiplication]) ).

cnf(c_0_18,plain,
    ( ~ defined(X3)
    | ~ defined(X2)
    | ~ defined(X1)
    | equalish(multiply(X1,multiply(X2,X3)),multiply(multiply(X1,X2),X3)) ),
    c_0_15 ).

cnf(c_0_19,hypothesis,
    defined(c),
    c_is_defined ).

cnf(c_0_20,plain,
    ( ~ defined(X1)
    | equalish(multiply(multiplicative_identity,X1),X1) ),
    inference(fof_simplification,[status(thm)],[existence_of_identity_multiplication]) ).

cnf(c_0_21,plain,
    ( ~ equalish(X3,X2)
    | ~ equalish(X1,X3)
    | equalish(X1,X2) ),
    inference(fof_simplification,[status(thm)],[transitivity_of_equality]) ).

cnf(c_0_22,plain,
    ( ~ equalish(X1,X3)
    | ~ defined(X2)
    | equalish(multiply(X1,X2),multiply(X3,X2)) ),
    c_0_16 ).

cnf(c_0_23,plain,
    ( ~ defined(X1)
    | equalish(X1,additive_identity)
    | equalish(multiply(X1,multiplicative_inverse(X1)),multiplicative_identity) ),
    c_0_17 ).

cnf(c_0_24,hypothesis,
    ( ~ defined(X1)
    | ~ defined(X2)
    | equalish(multiply(c,multiply(X1,X2)),multiply(multiply(c,X1),X2)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_25,hypothesis,
    defined(b),
    b_is_defined ).

cnf(c_0_26,plain,
    ( ~ defined(X1)
    | equalish(X1,additive_identity)
    | defined(multiplicative_inverse(X1)) ),
    inference(fof_simplification,[status(thm)],[well_definedness_of_multiplicative_inverse]) ).

cnf(c_0_27,plain,
    ( ~ defined(X1)
    | equalish(multiply(multiplicative_identity,X1),X1) ),
    c_0_20 ).

cnf(c_0_28,plain,
    ( ~ equalish(X3,X2)
    | ~ equalish(X1,X3)
    | equalish(X1,X2) ),
    c_0_21 ).

cnf(c_0_29,plain,
    ( ~ defined(X1)
    | ~ defined(X2)
    | equalish(X1,additive_identity)
    | equalish(multiply(multiply(X1,multiplicative_inverse(X1)),X2),multiply(multiplicative_identity,X2)) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_30,hypothesis,
    ( ~ defined(X1)
    | equalish(multiply(c,multiply(X1,b)),multiply(multiply(c,X1),b)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_31,plain,
    ( ~ defined(X1)
    | equalish(X1,additive_identity)
    | defined(multiplicative_inverse(X1)) ),
    c_0_26 ).

cnf(c_0_32,negated_conjecture,
    ~ equalish(c,additive_identity),
    inference(fof_simplification,[status(thm)],[c_not_equal_to_additive_identity_5]) ).

cnf(c_0_33,hypothesis,
    equalish(multiply(multiplicative_identity,b),b),
    inference(spm,[status(thm)],[c_0_27,c_0_25]) ).

cnf(c_0_34,plain,
    ( ~ equalish(X1,multiply(multiply(X3,multiplicative_inverse(X3)),X2))
    | ~ defined(X3)
    | ~ defined(X2)
    | equalish(X3,additive_identity)
    | equalish(X1,multiply(multiplicative_identity,X2)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_35,hypothesis,
    ( ~ defined(X1)
    | equalish(X1,additive_identity)
    | equalish(multiply(c,multiply(multiplicative_inverse(X1),b)),multiply(multiply(c,multiplicative_inverse(X1)),b)) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_36,negated_conjecture,
    ~ equalish(c,additive_identity),
    c_0_32 ).

cnf(c_0_37,plain,
    ( ~ equalish(X2,X1)
    | equalish(X1,X2) ),
    inference(fof_simplification,[status(thm)],[symmetry_of_equality]) ).

cnf(c_0_38,hypothesis,
    ( ~ equalish(X1,multiply(multiplicative_identity,b))
    | equalish(X1,b) ),
    inference(spm,[status(thm)],[c_0_28,c_0_33]) ).

cnf(c_0_39,hypothesis,
    equalish(multiply(c,multiply(multiplicative_inverse(c),b)),multiply(multiplicative_identity,b)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_25]),c_0_19])]),c_0_36]) ).

cnf(c_0_40,plain,
    ( ~ defined(X2)
    | ~ defined(X1)
    | ~ defined(X3)
    | equalish(X2,additive_identity)
    | equalish(multiply(X1,multiply(multiplicative_inverse(X2),X3)),multiply(multiply(X1,multiplicative_inverse(X2)),X3)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_31]) ).

cnf(c_0_41,plain,
    ( ~ equalish(X2,X1)
    | equalish(X1,X2) ),
    c_0_37 ).

cnf(c_0_42,hypothesis,
    equalish(multiply(c,multiply(multiplicative_inverse(c),b)),b),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_43,plain,
    ( ~ equalish(X1,multiply(X2,multiply(multiplicative_inverse(X3),X4)))
    | ~ defined(X3)
    | ~ defined(X2)
    | ~ defined(X4)
    | equalish(X3,additive_identity)
    | equalish(X1,multiply(multiply(X2,multiplicative_inverse(X3)),X4)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_40]) ).

cnf(c_0_44,hypothesis,
    equalish(b,multiply(c,multiply(multiplicative_inverse(c),b))),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_45,plain,
    ( ~ defined(X2)
    | ~ defined(X1)
    | equalish(multiply(X1,X2),multiply(X2,X1)) ),
    inference(fof_simplification,[status(thm)],[commutativity_multiplication]) ).

cnf(c_0_46,plain,
    ( ~ defined(X2)
    | ~ defined(X1)
    | defined(multiply(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[well_definedness_of_multiplication]) ).

cnf(c_0_47,hypothesis,
    equalish(b,multiply(multiply(c,multiplicative_inverse(c)),b)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_25]),c_0_19])]),c_0_36]) ).

cnf(c_0_48,plain,
    ( ~ defined(X2)
    | ~ defined(X1)
    | equalish(multiply(X1,X2),multiply(X2,X1)) ),
    c_0_45 ).

cnf(c_0_49,plain,
    ( ~ defined(X2)
    | ~ defined(X1)
    | defined(multiply(X1,X2)) ),
    c_0_46 ).

cnf(c_0_50,hypothesis,
    equalish(multiply(multiply(c,multiplicative_inverse(c)),b),b),
    inference(spm,[status(thm)],[c_0_41,c_0_47]) ).

cnf(c_0_51,plain,
    ( ~ defined(X2)
    | ~ defined(X3)
    | ~ defined(X1)
    | equalish(multiply(X1,multiply(X2,X3)),multiply(multiply(X2,X3),X1)) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_52,hypothesis,
    ( ~ equalish(X1,multiply(multiply(c,multiplicative_inverse(c)),b))
    | equalish(X1,b) ),
    inference(spm,[status(thm)],[c_0_28,c_0_50]) ).

cnf(c_0_53,plain,
    ( ~ defined(X3)
    | ~ defined(X2)
    | ~ defined(X1)
    | equalish(X3,additive_identity)
    | equalish(multiply(X1,multiply(X2,multiplicative_inverse(X3))),multiply(multiply(X2,multiplicative_inverse(X3)),X1)) ),
    inference(spm,[status(thm)],[c_0_51,c_0_31]) ).

cnf(c_0_54,plain,
    ( ~ defined(X3)
    | ~ defined(X1)
    | ~ defined(X2)
    | equalish(X3,additive_identity)
    | equalish(multiply(X1,multiply(X2,multiplicative_inverse(X3))),multiply(multiply(X1,X2),multiplicative_inverse(X3))) ),
    inference(spm,[status(thm)],[c_0_18,c_0_31]) ).

cnf(c_0_55,hypothesis,
    equalish(multiply(b,multiply(c,multiplicative_inverse(c))),b),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_25]),c_0_19])]),c_0_36]) ).

cnf(c_0_56,plain,
    ( ~ equalish(X1,multiply(X2,multiply(X3,multiplicative_inverse(X4))))
    | ~ defined(X4)
    | ~ defined(X2)
    | ~ defined(X3)
    | equalish(X4,additive_identity)
    | equalish(X1,multiply(multiply(X2,X3),multiplicative_inverse(X4))) ),
    inference(spm,[status(thm)],[c_0_28,c_0_54]) ).

cnf(c_0_57,hypothesis,
    equalish(b,multiply(b,multiply(c,multiplicative_inverse(c)))),
    inference(spm,[status(thm)],[c_0_41,c_0_55]) ).

cnf(c_0_58,hypothesis,
    equalish(b,multiply(multiply(b,c),multiplicative_inverse(c))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_19]),c_0_25])]),c_0_36]) ).

cnf(c_0_59,negated_conjecture,
    equalish(multiply(a,c),multiply(b,c)),
    multiply_equals_multiply_4 ).

cnf(c_0_60,hypothesis,
    equalish(multiply(multiply(b,c),multiplicative_inverse(c)),b),
    inference(spm,[status(thm)],[c_0_41,c_0_58]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ defined(X1)
    | equalish(multiply(multiply(a,c),X1),multiply(multiply(b,c),X1)) ),
    inference(spm,[status(thm)],[c_0_22,c_0_59]) ).

cnf(c_0_62,hypothesis,
    ( ~ equalish(X1,multiply(multiply(b,c),multiplicative_inverse(c)))
    | equalish(X1,b) ),
    inference(spm,[status(thm)],[c_0_28,c_0_60]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ defined(X1)
    | equalish(X1,additive_identity)
    | equalish(multiply(multiply(a,c),multiplicative_inverse(X1)),multiply(multiply(b,c),multiplicative_inverse(X1))) ),
    inference(spm,[status(thm)],[c_0_61,c_0_31]) ).

cnf(c_0_64,plain,
    ( ~ defined(X2)
    | ~ defined(X1)
    | equalish(X2,additive_identity)
    | equalish(multiply(X1,multiplicative_inverse(X2)),multiply(multiplicative_inverse(X2),X1)) ),
    inference(spm,[status(thm)],[c_0_48,c_0_31]) ).

cnf(c_0_65,negated_conjecture,
    equalish(multiply(multiply(a,c),multiplicative_inverse(c)),b),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_19])]),c_0_36]) ).

cnf(c_0_66,plain,
    ( ~ equalish(X1,multiply(X3,multiplicative_inverse(X2)))
    | ~ defined(X2)
    | ~ defined(X3)
    | equalish(X2,additive_identity)
    | equalish(X1,multiply(multiplicative_inverse(X2),X3)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_64]) ).

cnf(c_0_67,negated_conjecture,
    equalish(b,multiply(multiply(a,c),multiplicative_inverse(c))),
    inference(spm,[status(thm)],[c_0_41,c_0_65]) ).

cnf(c_0_68,plain,
    ( ~ defined(X1)
    | ~ defined(X2)
    | ~ defined(X3)
    | equalish(X1,additive_identity)
    | equalish(multiply(multiplicative_inverse(X1),multiply(X2,X3)),multiply(multiply(multiplicative_inverse(X1),X2),X3)) ),
    inference(spm,[status(thm)],[c_0_18,c_0_31]) ).

cnf(c_0_69,negated_conjecture,
    ( ~ defined(multiply(a,c))
    | equalish(b,multiply(multiplicative_inverse(c),multiply(a,c))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_19])]),c_0_36]) ).

cnf(c_0_70,hypothesis,
    defined(a),
    a_is_defined ).

cnf(c_0_71,plain,
    ( ~ equalish(X1,multiply(multiplicative_inverse(X2),multiply(X3,X4)))
    | ~ defined(X2)
    | ~ defined(X3)
    | ~ defined(X4)
    | equalish(X2,additive_identity)
    | equalish(X1,multiply(multiply(multiplicative_inverse(X2),X3),X4)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_68]) ).

cnf(c_0_72,negated_conjecture,
    equalish(b,multiply(multiplicative_inverse(c),multiply(a,c))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_49]),c_0_19]),c_0_70])]) ).

cnf(c_0_73,negated_conjecture,
    equalish(b,multiply(multiply(multiplicative_inverse(c),a),c)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_19]),c_0_70])]),c_0_36]) ).

cnf(c_0_74,hypothesis,
    ( ~ defined(X1)
    | equalish(multiply(c,X1),multiply(X1,c)) ),
    inference(spm,[status(thm)],[c_0_48,c_0_19]) ).

cnf(c_0_75,negated_conjecture,
    equalish(multiply(multiply(multiplicative_inverse(c),a),c),b),
    inference(spm,[status(thm)],[c_0_41,c_0_73]) ).

cnf(c_0_76,hypothesis,
    ( ~ defined(X1)
    | ~ defined(X2)
    | equalish(multiply(c,multiply(X1,X2)),multiply(multiply(X1,X2),c)) ),
    inference(spm,[status(thm)],[c_0_74,c_0_49]) ).

cnf(c_0_77,negated_conjecture,
    ( ~ equalish(X1,multiply(multiply(multiplicative_inverse(c),a),c))
    | equalish(X1,b) ),
    inference(spm,[status(thm)],[c_0_28,c_0_75]) ).

cnf(c_0_78,hypothesis,
    ( ~ defined(X1)
    | ~ defined(X2)
    | equalish(X1,additive_identity)
    | equalish(multiply(c,multiply(multiplicative_inverse(X1),X2)),multiply(multiply(multiplicative_inverse(X1),X2),c)) ),
    inference(spm,[status(thm)],[c_0_76,c_0_31]) ).

cnf(c_0_79,hypothesis,
    equalish(multiply(c,multiply(multiplicative_inverse(c),a)),b),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_70]),c_0_19])]),c_0_36]) ).

cnf(c_0_80,hypothesis,
    equalish(b,multiply(c,multiply(multiplicative_inverse(c),a))),
    inference(spm,[status(thm)],[c_0_41,c_0_79]) ).

cnf(c_0_81,hypothesis,
    equalish(multiply(multiplicative_identity,a),a),
    inference(spm,[status(thm)],[c_0_27,c_0_70]) ).

cnf(c_0_82,hypothesis,
    equalish(b,multiply(multiply(c,multiplicative_inverse(c)),a)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_80]),c_0_70]),c_0_19])]),c_0_36]) ).

cnf(c_0_83,hypothesis,
    ( ~ equalish(X1,multiply(multiplicative_identity,a))
    | equalish(X1,a) ),
    inference(spm,[status(thm)],[c_0_28,c_0_81]) ).

cnf(c_0_84,hypothesis,
    equalish(b,multiply(multiplicative_identity,a)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_82]),c_0_70]),c_0_19])]),c_0_36]) ).

cnf(c_0_85,negated_conjecture,
    ~ equalish(a,b),
    inference(fof_simplification,[status(thm)],[a_not_equal_to_b_6]) ).

cnf(c_0_86,hypothesis,
    equalish(b,a),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_87,negated_conjecture,
    ~ equalish(a,b),
    c_0_85 ).

cnf(c_0_88,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_86]),c_0_87]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : FLD035-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.45  % Computer : n020.cluster.edu
% 0.20/0.45  % Model    : x86_64 x86_64
% 0.20/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45  % Memory   : 8046.5625MB
% 0.20/0.45  % OS       : Linux 6.8.0-71-generic
% 0.20/0.45  % CPULimit : 300
% 0.20/0.45  % WCLimit  : 300
% 0.20/0.45  % DateTime : Mon Sep 21 15:40:19 UTC 2026
% 0.20/0.45  % CPUTime  : 
% 0.20/0.45  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.54  Running first-order theorem proving
% 0.27/0.54  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
% 215.32/31.88  % Version: 3.5.1
% 215.32/31.88  % Preprocessing class: FSMSSMSSSSSNFFN.
% 215.32/31.88  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 215.32/31.88  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 215.32/31.88  % Starting new_bool_3 with 300s (1) cores
% 215.32/31.88  % Starting new_bool_1 with 300s (1) cores
% 215.32/31.88  % Starting sh5l with 300s (1) cores
% 215.32/31.88  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3284467 completed with status 0
% 215.32/31.88  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 215.32/31.88  % Preprocessing class: FSMSSMSSSSSNFFN.
% 215.32/31.88  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 215.32/31.88  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 215.32/31.88  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 215.32/31.88  % No SInE strategy applied
% 215.32/31.88  % Search class: FGUNF-FFMM21-SFFFFFNN
% 215.32/31.88  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 215.32/31.88  % Starting SubtermCWHack with 136s (1) cores
% 215.32/31.88  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 215.32/31.88  % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 296s (1) cores
% 215.32/31.88  % Starting new_bool_3 with 269s (1) cores
% 215.32/31.88  % Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 136s (1) cores
% 215.32/31.88  % G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with pid 3284478 completed with status 0
% 215.32/31.88  % Result found by G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN
% 215.32/31.88  % Preprocessing class: FSMSSMSSSSSNFFN.
% 215.32/31.88  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 215.32/31.88  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 215.32/31.88  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 215.32/31.88  % No SInE strategy applied
% 215.32/31.88  % Search class: FGUNF-FFMM21-SFFFFFNN
% 215.32/31.88  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 215.32/31.88  % Starting SubtermCWHack with 136s (1) cores
% 215.32/31.88  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 215.32/31.88  % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 296s (1) cores
% 215.32/31.88  % Starting new_bool_3 with 269s (1) cores
% 215.32/31.88  % Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 136s (1) cores
% 215.32/31.88  % Preprocessing time       : 0.001 s
% 215.32/31.88  % Presaturation interreduction done
% 215.32/31.88  
% 215.32/31.88  % Proof found!
% 215.32/31.88  % SZS status Unsatisfiable
% 215.32/31.88  % SZS output start CNFRefutation
% See solution above
% 215.32/31.88  % Parsed axioms                        : 33
% 215.32/31.88  % Removed by relevancy pruning/SinE    : 0
% 215.32/31.88  % Initial clauses                      : 33
% 215.32/31.88  % Removed in clause preprocessing      : 0
% 215.32/31.88  % Initial clauses in saturation        : 33
% 215.32/31.88  % Processed clauses                    : 104061
% 215.32/31.88  % ...of these trivial                  : 46091
% 215.32/31.88  % ...subsumed                          : 10512
% 215.32/31.88  % ...remaining for further processing  : 47458
% 215.32/31.88  % Other redundant clauses eliminated   : 0
% 215.32/31.88  % Clauses deleted for lack of memory   : 0
% 215.32/31.88  % Backward-subsumed                    : 26
% 215.32/31.88  % Backward-rewritten                   : 299
% 215.32/31.88  % Generated clauses                    : 1295346
% 215.32/31.88  % ...of the previous two non-redundant : 1113821
% 215.32/31.88  % ...aggressively subsumed             : 0
% 215.32/31.88  % Contextual simplify-reflections      : 182
% 215.32/31.88  % Paramodulations                      : 1295336
% 215.32/31.88  % Factorizations                       : 10
% 215.32/31.88  % NegExts                              : 0
% 215.32/31.88  % Equation resolutions                 : 0
% 215.32/31.88  % Disequality decompositions           : 0
% 215.32/31.88  % Total rewrite steps                  : 503887
% 215.32/31.88  % ...of those cached                   : 477461
% 215.32/31.88  % Propositional unsat checks           : 0
% 215.32/31.88  %    Propositional check models        : 0
% 215.32/31.88  %    Propositional check unsatisfiable : 0
% 215.32/31.88  %    Propositional clauses             : 0
% 215.32/31.88  %    Propositional clauses after purity: 0
% 215.32/31.88  %    Propositional unsat core size     : 0
% 215.32/31.88  %    Propositional preprocessing time  : 0.000
% 215.32/31.88  %    Propositional encoding time       : 0.000
% 215.32/31.88  %    Propositional solver time         : 0.000
% 215.32/31.88  %    Success case prop preproc time    : 0.000
% 215.32/31.88  %    Success case prop encoding time   : 0.000
% 215.32/31.88  %    Success case prop solver time     : 0.000
% 215.32/31.88  % Current number of processed clauses  : 47100
% 215.32/31.88  %    Positive orientable unit clauses  : 27977
% 215.32/31.88  %    Positive unorientable unit clauses: 0
% 215.32/31.88  %    Negative unit clauses             : 3
% 215.32/31.88  %    Non-unit-clauses                  : 19120
% 215.32/31.88  % Current number of unprocessed clauses: 1009823
% 215.32/31.88  % ...number of literals in the above   : 2290039
% 215.32/31.88  % Current number of archived formulas  : 0
% 215.32/31.88  % Current number of archived clauses   : 358
% 215.32/31.88  % Clause-clause subsumption calls (NU) : 15553938
% 215.32/31.88  % Rec. Clause-clause subsumption calls : 12647869
% 215.32/31.88  % Non-unit clause-clause subsumptions  : 10720
% 215.32/31.88  % Unit Clause-clause subsumption calls : 3589177
% 215.32/31.88  % Rewrite failures with RHS unbound    : 0
% 215.32/31.88  % BW rewrite match attempts            : 803304
% 215.32/31.88  % BW rewrite match successes           : 277
% 215.32/31.88  % Condensation attempts                : 0
% 215.32/31.88  % Condensation successes               : 0
% 215.32/31.88  % Termbank termtop insertions          : 23868328
% 215.32/31.88  % Search garbage collected termcells   : 73
% 215.32/31.88  
% 215.32/31.88  % -------------------------------------------------
% 215.32/31.88  % User time                : 29.814 s
% 215.32/31.88  % System time              : 0.898 s
% 215.32/31.88  % Total time               : 30.711 s
% 215.32/31.88  % Maximum resident set size: 3660 pages
% 215.32/31.88  
% 215.32/31.88  % -------------------------------------------------
% 215.32/31.88  % User time                : 149.507 s
% 215.32/31.88  % System time              : 5.506 s
% 215.32/31.88  % Total time               : 155.013 s
% 215.32/31.88  % Maximum resident set size: 4864 pages
% 215.32/31.88  % E exiting
%------------------------------------------------------------------------------