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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : FLD047-4 : 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 : n019.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 12:22:50 PM UTC 2026

% Result   : Unsatisfiable 38.77s 6.29s
% Output   : CNFRefutation 38.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   34
% Syntax   : Number of clauses     :  183 (  69 unt;  15 nHn; 183 RR)
%            Number of literals    :  430 (   0 equ; 241 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :  318 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
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(product_9,negated_conjecture,
    product(a,multiplicative_inverse(b),u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_9) ).

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

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

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

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

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

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

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

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(totality_of_order_relation,axiom,
    ( ~ defined(X2)
    | ~ defined(X1)
    | less_or_equal(X2,X1)
    | less_or_equal(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_order_relation) ).

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

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

cnf(product_11,negated_conjecture,
    product(b,c,t),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_11) ).

cnf(not_sum_8,negated_conjecture,
    ~ sum(additive_identity,c,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_8) ).

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(antisymmetry_of_order_relation,axiom,
    ( ~ less_or_equal(X2,X1)
    | ~ less_or_equal(X1,X2)
    | sum(additive_identity,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',antisymmetry_of_order_relation) ).

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

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

cnf(well_definedness_of_multiplication,axiom,
    ( ~ defined(X2)
    | ~ defined(X1)
    | defined(multiply(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplication) ).

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

cnf(t_is_defined,hypothesis,
    defined(t),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_is_defined) ).

cnf(not_product_12,negated_conjecture,
    ~ product(s,multiplicative_inverse(t),u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_12) ).

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

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

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

cnf(well_definedness_of_addition,axiom,
    ( ~ defined(X2)
    | ~ defined(X1)
    | defined(add(X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_addition) ).

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(c_0_34,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_35,plain,
    ( ~ product(X5,X6,X3)
    | ~ product(X4,X6,X2)
    | ~ product(X1,X4,X5)
    | product(X1,X2,X3) ),
    c_0_34 ).

cnf(c_0_36,negated_conjecture,
    product(a,multiplicative_inverse(b),u),
    product_9 ).

cnf(c_0_37,plain,
    ( ~ defined(X1)
    | product(multiplicative_identity,X1,X1) ),
    inference(fof_simplification,[status(thm)],[existence_of_identity_multiplication]) ).

cnf(c_0_38,negated_conjecture,
    ~ sum(additive_identity,b,additive_identity),
    inference(fof_simplification,[status(thm)],[not_sum_7]) ).

cnf(c_0_39,plain,
    ( ~ defined(X1)
    | sum(additive_identity,X1,additive_identity)
    | defined(multiplicative_inverse(X1)) ),
    inference(fof_simplification,[status(thm)],[well_definedness_of_multiplicative_inverse]) ).

cnf(c_0_40,plain,
    ( ~ product(X2,X1,X3)
    | product(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[commutativity_multiplication]) ).

cnf(c_0_41,negated_conjecture,
    ( ~ product(X1,X3,a)
    | ~ product(X3,multiplicative_inverse(b),X2)
    | product(X1,X2,u) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_42,plain,
    ( ~ defined(X1)
    | product(multiplicative_identity,X1,X1) ),
    c_0_37 ).

cnf(c_0_43,hypothesis,
    defined(a),
    a_is_defined ).

cnf(c_0_44,plain,
    ( ~ defined(X2)
    | ~ defined(X1)
    | product(X1,X2,multiply(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[totality_of_multiplication]) ).

cnf(c_0_45,negated_conjecture,
    ~ sum(additive_identity,b,additive_identity),
    c_0_38 ).

cnf(c_0_46,plain,
    ( ~ defined(X1)
    | sum(additive_identity,X1,additive_identity)
    | defined(multiplicative_inverse(X1)) ),
    c_0_39 ).

cnf(c_0_47,hypothesis,
    defined(b),
    b_is_defined ).

cnf(c_0_48,plain,
    ( ~ sum(X4,X5,X2)
    | ~ sum(X3,X5,X1)
    | ~ less_or_equal(X3,X4)
    | less_or_equal(X1,X2) ),
    inference(fof_simplification,[status(thm)],[compatibility_of_order_relation_and_addition]) ).

cnf(c_0_49,plain,
    ( ~ defined(X1)
    | sum(additive_identity,X1,X1) ),
    inference(fof_simplification,[status(thm)],[existence_of_identity_addition]) ).

cnf(c_0_50,plain,
    ( ~ defined(X2)
    | ~ defined(X1)
    | less_or_equal(X2,X1)
    | less_or_equal(X1,X2) ),
    inference(fof_simplification,[status(thm)],[totality_of_order_relation]) ).

cnf(c_0_51,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_52,plain,
    ( ~ product(X2,X1,X3)
    | product(X1,X2,X3) ),
    c_0_40 ).

cnf(c_0_53,negated_conjecture,
    ( ~ product(a,multiplicative_inverse(b),X1)
    | product(multiplicative_identity,X1,u) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).

cnf(c_0_54,plain,
    ( ~ defined(X2)
    | ~ defined(X1)
    | product(X1,X2,multiply(X1,X2)) ),
    c_0_44 ).

cnf(c_0_55,negated_conjecture,
    defined(multiplicative_inverse(b)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).

cnf(c_0_56,plain,
    ( ~ sum(X4,X5,X2)
    | ~ sum(X3,X5,X1)
    | ~ less_or_equal(X3,X4)
    | less_or_equal(X1,X2) ),
    c_0_48 ).

cnf(c_0_57,plain,
    ( ~ defined(X1)
    | sum(additive_identity,X1,X1) ),
    c_0_49 ).

cnf(c_0_58,plain,
    ( ~ defined(X2)
    | ~ defined(X1)
    | less_or_equal(X2,X1)
    | less_or_equal(X1,X2) ),
    c_0_50 ).

cnf(c_0_59,plain,
    ( ~ sum(X2,X1,X3)
    | sum(X1,X2,X3) ),
    inference(fof_simplification,[status(thm)],[commutativity_addition]) ).

cnf(c_0_60,plain,
    ( ~ product(X5,X7,X2)
    | ~ product(X4,X7,X1)
    | ~ product(X6,X7,X3)
    | ~ sum(X4,X5,X6)
    | sum(X1,X2,X3) ),
    c_0_51 ).

cnf(c_0_61,plain,
    ( ~ defined(X1)
    | product(X1,multiplicative_identity,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_42]) ).

cnf(c_0_62,negated_conjecture,
    product(multiplicative_identity,multiply(a,multiplicative_inverse(b)),u),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_43])]) ).

cnf(c_0_63,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_64,plain,
    ( ~ sum(X3,X2,X1)
    | ~ defined(X2)
    | ~ less_or_equal(X3,additive_identity)
    | less_or_equal(X1,X2) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_65,plain,
    ( ~ defined(X1)
    | less_or_equal(X1,X1) ),
    inference(ef,[status(thm)],[c_0_58]) ).

cnf(c_0_66,axiom,
    defined(additive_identity),
    well_definedness_of_additive_identity ).

cnf(c_0_67,plain,
    ( ~ sum(X2,X1,X3)
    | sum(X1,X2,X3) ),
    c_0_59 ).

cnf(c_0_68,plain,
    ( ~ sum(X5,X4,X3)
    | ~ defined(X3)
    | ~ product(X5,multiplicative_identity,X1)
    | ~ product(X4,multiplicative_identity,X2)
    | sum(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_69,negated_conjecture,
    product(multiply(a,multiplicative_inverse(b)),multiplicative_identity,u),
    inference(spm,[status(thm)],[c_0_52,c_0_62]) ).

cnf(c_0_70,plain,
    ( ~ defined(X3)
    | ~ product(X4,X3,X2)
    | ~ product(X1,X4,multiplicative_identity)
    | product(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_42]) ).

cnf(c_0_71,plain,
    ( ~ defined(X1)
    | sum(additive_identity,X1,additive_identity)
    | product(multiplicative_inverse(X1),X1,multiplicative_identity) ),
    c_0_63 ).

cnf(c_0_72,negated_conjecture,
    product(b,c,t),
    product_11 ).

cnf(c_0_73,negated_conjecture,
    ~ sum(additive_identity,c,additive_identity),
    inference(fof_simplification,[status(thm)],[not_sum_8]) ).

cnf(c_0_74,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_75,plain,
    ( ~ less_or_equal(X2,X1)
    | ~ less_or_equal(X1,X2)
    | sum(additive_identity,X1,X2) ),
    inference(fof_simplification,[status(thm)],[antisymmetry_of_order_relation]) ).

cnf(c_0_76,plain,
    ( ~ sum(additive_identity,X2,X1)
    | ~ defined(X2)
    | less_or_equal(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]) ).

cnf(c_0_77,plain,
    ( ~ defined(X1)
    | sum(X1,additive_identity,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_57]) ).

cnf(c_0_78,negated_conjecture,
    ( ~ sum(X3,multiply(a,multiplicative_inverse(b)),X2)
    | ~ defined(X2)
    | ~ product(X3,multiplicative_identity,X1)
    | sum(X1,u,X2) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_79,negated_conjecture,
    product(a,c,s),
    product_10 ).

cnf(c_0_80,plain,
    ( ~ defined(X1)
    | ~ defined(X3)
    | ~ product(X1,X3,X2)
    | sum(additive_identity,X1,additive_identity)
    | product(multiplicative_inverse(X1),X2,X3) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_81,negated_conjecture,
    product(c,b,t),
    inference(spm,[status(thm)],[c_0_52,c_0_72]) ).

cnf(c_0_82,hypothesis,
    defined(c),
    c_is_defined ).

cnf(c_0_83,negated_conjecture,
    ~ sum(additive_identity,c,additive_identity),
    c_0_73 ).

cnf(c_0_84,plain,
    ( ~ sum(X5,X6,X3)
    | ~ sum(X4,X6,X2)
    | ~ sum(X1,X4,X5)
    | sum(X1,X2,X3) ),
    c_0_74 ).

cnf(c_0_85,plain,
    ( ~ less_or_equal(X2,X1)
    | ~ less_or_equal(X1,X2)
    | sum(additive_identity,X1,X2) ),
    c_0_75 ).

cnf(c_0_86,plain,
    less_or_equal(additive_identity,additive_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_66])]) ).

cnf(c_0_87,negated_conjecture,
    ( ~ sum(X1,multiply(a,multiplicative_inverse(b)),X2)
    | ~ defined(X1)
    | ~ defined(X2)
    | sum(X1,u,X2) ),
    inference(spm,[status(thm)],[c_0_78,c_0_61]) ).

cnf(c_0_88,plain,
    ( ~ defined(X2)
    | ~ defined(X1)
    | defined(multiply(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[well_definedness_of_multiplication]) ).

cnf(c_0_89,negated_conjecture,
    product(c,a,s),
    inference(spm,[status(thm)],[c_0_52,c_0_79]) ).

cnf(c_0_90,plain,
    ( ~ defined(X1)
    | sum(additive_identity,X1,additive_identity)
    | product(X1,multiplicative_inverse(X1),multiplicative_identity) ),
    inference(spm,[status(thm)],[c_0_52,c_0_71]) ).

cnf(c_0_91,negated_conjecture,
    product(multiplicative_inverse(c),t,b),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_47]),c_0_82])]),c_0_83]) ).

cnf(c_0_92,plain,
    ( ~ sum(X4,X3,X2)
    | ~ sum(X1,X4,additive_identity)
    | ~ defined(X3)
    | sum(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_84,c_0_57]) ).

cnf(c_0_93,plain,
    sum(additive_identity,additive_identity,additive_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_86])]) ).

cnf(c_0_94,negated_conjecture,
    ( ~ defined(multiply(a,multiplicative_inverse(b)))
    | sum(additive_identity,u,multiply(a,multiplicative_inverse(b))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_57]),c_0_66])]) ).

cnf(c_0_95,plain,
    ( ~ defined(X2)
    | ~ defined(X1)
    | defined(multiply(X1,X2)) ),
    c_0_88 ).

cnf(c_0_96,negated_conjecture,
    ( ~ product(X1,X3,c)
    | ~ product(X3,a,X2)
    | product(X1,X2,s) ),
    inference(spm,[status(thm)],[c_0_35,c_0_89]) ).

cnf(c_0_97,negated_conjecture,
    product(multiplicative_inverse(b),a,u),
    inference(spm,[status(thm)],[c_0_52,c_0_36]) ).

cnf(c_0_98,negated_conjecture,
    product(multiplicative_inverse(b),t,c),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_72]),c_0_82]),c_0_47])]),c_0_45]) ).

cnf(c_0_99,plain,
    ( ~ defined(X3)
    | ~ product(X1,X4,X3)
    | ~ product(X4,multiplicative_inverse(X3),X2)
    | sum(additive_identity,X3,additive_identity)
    | product(X1,X2,multiplicative_identity) ),
    inference(spm,[status(thm)],[c_0_35,c_0_90]) ).

cnf(c_0_100,negated_conjecture,
    product(t,multiplicative_inverse(c),b),
    inference(spm,[status(thm)],[c_0_52,c_0_91]) ).

cnf(c_0_101,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_102,plain,
    ( ~ sum(additive_identity,X2,X1)
    | ~ defined(X2)
    | sum(additive_identity,X1,X2) ),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_103,negated_conjecture,
    sum(additive_identity,u,multiply(a,multiplicative_inverse(b))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_55]),c_0_43])]) ).

cnf(c_0_104,hypothesis,
    defined(u),
    u_is_defined ).

cnf(c_0_105,negated_conjecture,
    ( ~ product(X1,multiplicative_inverse(b),c)
    | product(X1,u,s) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_106,negated_conjecture,
    product(t,multiplicative_inverse(b),c),
    inference(spm,[status(thm)],[c_0_52,c_0_98]) ).

cnf(c_0_107,plain,
    ( ~ defined(X3)
    | ~ product(X4,X3,X2)
    | ~ product(X1,X4,multiplicative_inverse(X3))
    | sum(additive_identity,X3,additive_identity)
    | product(X1,X2,multiplicative_identity) ),
    inference(spm,[status(thm)],[c_0_35,c_0_71]) ).

cnf(c_0_108,negated_conjecture,
    ( ~ product(X1,t,c)
    | product(X1,b,multiplicative_identity) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_82])]),c_0_83]) ).

cnf(c_0_109,plain,
    ( ~ sum(X4,X6,X3)
    | ~ sum(X5,X2,X6)
    | ~ sum(X4,X5,X1)
    | sum(X1,X2,X3) ),
    c_0_101 ).

cnf(c_0_110,negated_conjecture,
    sum(additive_identity,multiply(a,multiplicative_inverse(b)),u),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104])]) ).

cnf(c_0_111,negated_conjecture,
    product(t,u,s),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_112,hypothesis,
    defined(t),
    t_is_defined ).

cnf(c_0_113,negated_conjecture,
    ~ product(s,multiplicative_inverse(t),u),
    inference(fof_simplification,[status(thm)],[not_product_12]) ).

cnf(c_0_114,plain,
    ( ~ sum(X5,X4,multiplicative_identity)
    | ~ defined(X3)
    | ~ product(X5,X3,X1)
    | ~ product(X4,X3,X2)
    | sum(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_60,c_0_42]) ).

cnf(c_0_115,axiom,
    defined(multiplicative_identity),
    well_definedness_of_multiplicative_identity ).

cnf(c_0_116,plain,
    ( ~ defined(X2)
    | ~ product(multiplicative_inverse(X2),X2,X1)
    | sum(additive_identity,X2,additive_identity)
    | product(multiplicative_identity,X1,multiplicative_identity) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_42]),c_0_46]) ).

cnf(c_0_117,negated_conjecture,
    product(multiplicative_inverse(b),b,multiplicative_identity),
    inference(spm,[status(thm)],[c_0_108,c_0_98]) ).

cnf(c_0_118,plain,
    ( ~ sum(X4,X3,X1)
    | ~ sum(X4,X3,X2)
    | ~ defined(X3)
    | sum(X1,additive_identity,X2) ),
    inference(spm,[status(thm)],[c_0_109,c_0_77]) ).

cnf(c_0_119,negated_conjecture,
    sum(additive_identity,u,u),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_110]),c_0_104]),c_0_66])]) ).

cnf(c_0_120,plain,
    ( ~ defined(X2)
    | ~ defined(X1)
    | sum(X1,X2,add(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[totality_of_addition]) ).

cnf(c_0_121,negated_conjecture,
    ( sum(additive_identity,t,additive_identity)
    | product(multiplicative_inverse(t),s,u) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_111]),c_0_104]),c_0_112])]) ).

cnf(c_0_122,negated_conjecture,
    ~ product(s,multiplicative_inverse(t),u),
    c_0_113 ).

cnf(c_0_123,plain,
    ( ~ defined(X3)
    | ~ product(additive_identity,X3,X1)
    | ~ product(multiplicative_identity,X3,X2)
    | sum(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_57]),c_0_115])]) ).

cnf(c_0_124,negated_conjecture,
    product(multiplicative_identity,multiplicative_identity,multiplicative_identity),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_47])]),c_0_45]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ sum(additive_identity,u,X1)
    | sum(X1,additive_identity,u) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_104])]) ).

cnf(c_0_126,plain,
    ( ~ defined(X2)
    | ~ defined(X1)
    | sum(X1,X2,add(X1,X2)) ),
    c_0_120 ).

cnf(c_0_127,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_128,plain,
    ( ~ defined(X1)
    | sum(additive_inverse(X1),X1,additive_identity) ),
    inference(fof_simplification,[status(thm)],[existence_of_inverse_addition]) ).

cnf(c_0_129,negated_conjecture,
    sum(additive_identity,t,additive_identity),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_121]),c_0_122]) ).

cnf(c_0_130,negated_conjecture,
    ( ~ product(additive_identity,multiplicative_identity,X1)
    | sum(X1,multiplicative_identity,multiplicative_identity) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_115])]) ).

cnf(c_0_131,negated_conjecture,
    sum(add(additive_identity,u),additive_identity,u),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_104]),c_0_66])]) ).

cnf(c_0_132,plain,
    ( ~ sum(X6,X7,X3)
    | ~ product(X5,X2,X7)
    | ~ product(X4,X2,X6)
    | ~ sum(X4,X5,X1)
    | product(X1,X2,X3) ),
    c_0_127 ).

cnf(c_0_133,plain,
    ( ~ defined(X1)
    | sum(additive_inverse(X1),X1,additive_identity) ),
    c_0_128 ).

cnf(c_0_134,plain,
    ( ~ defined(X1)
    | defined(additive_inverse(X1)) ),
    inference(fof_simplification,[status(thm)],[well_definedness_of_additive_inverse]) ).

cnf(c_0_135,plain,
    ( ~ sum(X1,X4,X3)
    | ~ sum(X4,additive_identity,X2)
    | ~ defined(X3)
    | sum(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_84,c_0_77]) ).

cnf(c_0_136,negated_conjecture,
    sum(additive_identity,additive_identity,t),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_129]),c_0_112])]) ).

cnf(c_0_137,negated_conjecture,
    sum(additive_identity,multiplicative_identity,multiplicative_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_61]),c_0_66])]) ).

cnf(c_0_138,negated_conjecture,
    sum(additive_identity,add(additive_identity,u),u),
    inference(spm,[status(thm)],[c_0_67,c_0_131]) ).

cnf(c_0_139,plain,
    ( ~ defined(X2)
    | ~ defined(X1)
    | defined(add(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[well_definedness_of_addition]) ).

cnf(c_0_140,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_141,plain,
    ( ~ sum(X3,X5,X1)
    | ~ defined(X4)
    | ~ product(X5,X2,X4)
    | ~ product(X3,X2,additive_inverse(X4))
    | product(X1,X2,additive_identity) ),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_142,plain,
    ( ~ defined(X1)
    | defined(additive_inverse(X1)) ),
    c_0_134 ).

cnf(c_0_143,negated_conjecture,
    ( ~ sum(X1,additive_identity,X2)
    | ~ defined(X2)
    | sum(X1,t,X2) ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_144,negated_conjecture,
    sum(multiplicative_identity,additive_identity,multiplicative_identity),
    inference(spm,[status(thm)],[c_0_67,c_0_137]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ defined(add(additive_identity,u))
    | sum(additive_identity,u,add(additive_identity,u)) ),
    inference(spm,[status(thm)],[c_0_102,c_0_138]) ).

cnf(c_0_146,plain,
    ( ~ defined(X2)
    | ~ defined(X1)
    | defined(add(X1,X2)) ),
    c_0_139 ).

cnf(c_0_147,plain,
    ( ~ product(X4,X6,X3)
    | ~ product(X5,X2,X6)
    | ~ product(X4,X5,X1)
    | product(X1,X2,X3) ),
    c_0_140 ).

cnf(c_0_148,plain,
    ( ~ sum(additive_inverse(X3),X2,X1)
    | ~ defined(X3)
    | ~ product(X2,multiplicative_identity,X3)
    | product(X1,multiplicative_identity,additive_identity) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_61]),c_0_142]) ).

cnf(c_0_149,plain,
    ( ~ sum(X1,X3,X2)
    | ~ defined(X1)
    | ~ defined(X3)
    | sum(additive_inverse(X1),X2,X3) ),
    inference(spm,[status(thm)],[c_0_92,c_0_133]) ).

cnf(c_0_150,negated_conjecture,
    sum(multiplicative_identity,t,multiplicative_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_115])]) ).

cnf(c_0_151,negated_conjecture,
    sum(additive_identity,u,add(additive_identity,u)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_104]),c_0_66])]) ).

cnf(c_0_152,negated_conjecture,
    ( ~ product(X3,c,X1)
    | ~ product(X3,t,X2)
    | product(X1,b,X2) ),
    inference(spm,[status(thm)],[c_0_147,c_0_81]) ).

cnf(c_0_153,negated_conjecture,
    ( ~ sum(additive_inverse(multiplicative_identity),multiplicative_identity,X1)
    | product(X1,multiplicative_identity,additive_identity) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_124]),c_0_115])]) ).

cnf(c_0_154,negated_conjecture,
    sum(additive_inverse(multiplicative_identity),multiplicative_identity,t),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_112]),c_0_115])]) ).

cnf(c_0_155,plain,
    ( ~ sum(X1,X3,additive_identity)
    | ~ sum(X3,additive_identity,X2)
    | sum(X1,X2,additive_identity) ),
    inference(spm,[status(thm)],[c_0_84,c_0_93]) ).

cnf(c_0_156,negated_conjecture,
    sum(u,additive_identity,add(additive_identity,u)),
    inference(spm,[status(thm)],[c_0_67,c_0_151]) ).

cnf(c_0_157,negated_conjecture,
    ( ~ product(multiplicative_inverse(b),c,X1)
    | product(X1,b,c) ),
    inference(spm,[status(thm)],[c_0_152,c_0_98]) ).

cnf(c_0_158,negated_conjecture,
    product(t,multiplicative_identity,additive_identity),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_159,negated_conjecture,
    ( ~ sum(X1,u,additive_identity)
    | sum(X1,add(additive_identity,u),additive_identity) ),
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

cnf(c_0_160,plain,
    ( ~ defined(X2)
    | ~ defined(X1)
    | product(X1,X2,multiply(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_52,c_0_54]) ).

cnf(c_0_161,negated_conjecture,
    product(multiply(multiplicative_inverse(b),c),b,c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_54]),c_0_82]),c_0_55])]) ).

cnf(c_0_162,negated_conjecture,
    ( ~ product(X3,b,X1)
    | ~ product(X3,t,X2)
    | product(X1,c,X2) ),
    inference(spm,[status(thm)],[c_0_147,c_0_72]) ).

cnf(c_0_163,negated_conjecture,
    product(multiplicative_identity,t,additive_identity),
    inference(spm,[status(thm)],[c_0_52,c_0_158]) ).

cnf(c_0_164,negated_conjecture,
    ( ~ sum(X1,add(additive_identity,u),additive_identity)
    | sum(X1,u,additive_identity) ),
    inference(spm,[status(thm)],[c_0_155,c_0_131]) ).

cnf(c_0_165,negated_conjecture,
    sum(additive_inverse(u),add(additive_identity,u),additive_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_133]),c_0_104])]) ).

cnf(c_0_166,negated_conjecture,
    ( ~ sum(X4,X3,a)
    | ~ product(X4,multiplicative_inverse(b),X1)
    | ~ product(X3,multiplicative_inverse(b),X2)
    | sum(X1,X2,u) ),
    inference(spm,[status(thm)],[c_0_60,c_0_36]) ).

cnf(c_0_167,plain,
    ( ~ defined(X2)
    | ~ defined(X5)
    | ~ product(X4,X5,X1)
    | ~ product(X4,multiply(X2,X5),X3)
    | product(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_147,c_0_160]) ).

cnf(c_0_168,negated_conjecture,
    product(b,multiply(multiplicative_inverse(b),c),c),
    inference(spm,[status(thm)],[c_0_52,c_0_161]) ).

cnf(c_0_169,negated_conjecture,
    ( ~ product(multiplicative_identity,b,X1)
    | product(X1,c,additive_identity) ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_170,plain,
    ( ~ defined(X1)
    | sum(X1,additive_inverse(X1),additive_identity) ),
    inference(spm,[status(thm)],[c_0_67,c_0_133]) ).

cnf(c_0_171,negated_conjecture,
    sum(additive_inverse(u),u,additive_identity),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_172,negated_conjecture,
    ( ~ product(additive_identity,multiplicative_inverse(b),X1)
    | ~ product(a,multiplicative_inverse(b),X2)
    | sum(X1,X2,u) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_57]),c_0_43])]) ).

cnf(c_0_173,negated_conjecture,
    ( ~ product(b,c,X1)
    | product(X1,multiplicative_inverse(b),c) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_82]),c_0_55])]) ).

cnf(c_0_174,negated_conjecture,
    product(b,c,additive_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_42]),c_0_47])]) ).

cnf(c_0_175,plain,
    ( ~ sum(X1,X4,X3)
    | ~ sum(X4,additive_inverse(X3),X2)
    | ~ defined(X3)
    | sum(X1,X2,additive_identity) ),
    inference(spm,[status(thm)],[c_0_84,c_0_170]) ).

cnf(c_0_176,negated_conjecture,
    sum(u,additive_inverse(u),additive_identity),
    inference(spm,[status(thm)],[c_0_67,c_0_171]) ).

cnf(c_0_177,negated_conjecture,
    ( ~ product(additive_identity,multiplicative_inverse(b),X1)
    | sum(X1,u,u) ),
    inference(spm,[status(thm)],[c_0_172,c_0_36]) ).

cnf(c_0_178,negated_conjecture,
    product(additive_identity,multiplicative_inverse(b),c),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_179,negated_conjecture,
    ( ~ sum(X1,u,u)
    | sum(X1,additive_identity,additive_identity) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_104])]) ).

cnf(c_0_180,negated_conjecture,
    sum(c,u,u),
    inference(spm,[status(thm)],[c_0_177,c_0_178]) ).

cnf(c_0_181,negated_conjecture,
    sum(c,additive_identity,additive_identity),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_182,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_181]),c_0_83]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : FLD047-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.46  % Computer : n019.cluster.edu
% 0.20/0.46  % Model    : x86_64 x86_64
% 0.20/0.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46  % Memory   : 8046.5625MB
% 0.20/0.46  % OS       : Linux 6.8.0-71-generic
% 0.20/0.46  % CPULimit : 300
% 0.20/0.47  % WCLimit  : 300
% 0.20/0.47  % DateTime : Mon Sep 21 15:40:50 UTC 2026
% 0.20/0.47  % CPUTime  : 
% 0.20/0.47  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.53  Running first-order theorem proving
% 0.24/0.53  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
% 38.77/6.29  % Version: 3.5.1
% 38.77/6.29  % Preprocessing class: FSMSSMSMSSSNFFN.
% 38.77/6.29  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 38.77/6.29  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 38.77/6.29  % Starting new_bool_3 with 300s (1) cores
% 38.77/6.29  % Starting new_bool_1 with 300s (1) cores
% 38.77/6.29  % Starting sh5l with 300s (1) cores
% 38.77/6.29  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2929537 completed with status 0
% 38.77/6.29  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 38.77/6.29  % Preprocessing class: FSMSSMSMSSSNFFN.
% 38.77/6.29  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 38.77/6.29  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 38.77/6.29  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 38.77/6.29  % No SInE strategy applied
% 38.77/6.29  % Search class: FGUNF-FFMM21-SFFFFFNN
% 38.77/6.29  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 38.77/6.29  % Starting SubtermCWHack with 136s (1) cores
% 38.77/6.29  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 38.77/6.29  % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 296s (1) cores
% 38.77/6.29  % Starting new_bool_3 with 269s (1) cores
% 38.77/6.29  % Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 136s (1) cores
% 38.77/6.29  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2929542 completed with status 0
% 38.77/6.29  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 38.77/6.29  % Preprocessing class: FSMSSMSMSSSNFFN.
% 38.77/6.29  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 38.77/6.29  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 38.77/6.29  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 38.77/6.29  % No SInE strategy applied
% 38.77/6.29  % Search class: FGUNF-FFMM21-SFFFFFNN
% 38.77/6.29  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 38.77/6.29  % Starting SubtermCWHack with 136s (1) cores
% 38.77/6.29  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 38.77/6.29  % Preprocessing time       : 0.002 s
% 38.77/6.29  % Presaturation interreduction done
% 38.77/6.29  
% 38.77/6.29  % Proof found!
% 38.77/6.29  % SZS status Unsatisfiable
% 38.77/6.29  % SZS output start CNFRefutation
% See solution above
% 38.77/6.29  % Parsed axioms                        : 38
% 38.77/6.29  % Removed by relevancy pruning/SinE    : 0
% 38.77/6.29  % Initial clauses                      : 38
% 38.77/6.29  % Removed in clause preprocessing      : 0
% 38.77/6.29  % Initial clauses in saturation        : 38
% 38.77/6.29  % Processed clauses                    : 12748
% 38.77/6.29  % ...of these trivial                  : 1244
% 38.77/6.29  % ...subsumed                          : 4897
% 38.77/6.29  % ...remaining for further processing  : 6607
% 38.77/6.29  % Other redundant clauses eliminated   : 0
% 38.77/6.29  % Clauses deleted for lack of memory   : 0
% 38.77/6.29  % Backward-subsumed                    : 80
% 38.77/6.29  % Backward-rewritten                   : 226
% 38.77/6.29  % Generated clauses                    : 140333
% 38.77/6.29  % ...of the previous two non-redundant : 113611
% 38.77/6.29  % ...aggressively subsumed             : 0
% 38.77/6.29  % Contextual simplify-reflections      : 34
% 38.77/6.29  % Paramodulations                      : 140321
% 38.77/6.29  % Factorizations                       : 12
% 38.77/6.29  % NegExts                              : 0
% 38.77/6.29  % Equation resolutions                 : 0
% 38.77/6.29  % Disequality decompositions           : 0
% 38.77/6.29  % Total rewrite steps                  : 88023
% 38.77/6.29  % ...of those cached                   : 86753
% 38.77/6.29  % Propositional unsat checks           : 0
% 38.77/6.29  %    Propositional check models        : 0
% 38.77/6.29  %    Propositional check unsatisfiable : 0
% 38.77/6.29  %    Propositional clauses             : 0
% 38.77/6.29  %    Propositional clauses after purity: 0
% 38.77/6.29  %    Propositional unsat core size     : 0
% 38.77/6.29  %    Propositional preprocessing time  : 0.000
% 38.77/6.29  %    Propositional encoding time       : 0.000
% 38.77/6.29  %    Propositional solver time         : 0.000
% 38.77/6.29  %    Success case prop preproc time    : 0.000
% 38.77/6.29  %    Success case prop encoding time   : 0.000
% 38.77/6.29  %    Success case prop solver time     : 0.000
% 38.77/6.29  % Current number of processed clauses  : 6263
% 38.77/6.29  %    Positive orientable unit clauses  : 1455
% 38.77/6.29  %    Positive unorientable unit clauses: 0
% 38.77/6.29  %    Negative unit clauses             : 4
% 38.77/6.29  %    Non-unit-clauses                  : 4804
% 38.77/6.29  % Current number of unprocessed clauses: 100923
% 38.77/6.29  % ...number of literals in the above   : 292076
% 38.77/6.29  % Current number of archived formulas  : 0
% 38.77/6.29  % Current number of archived clauses   : 344
% 38.77/6.29  % Clause-clause subsumption calls (NU) : 2226237
% 38.77/6.29  % Rec. Clause-clause subsumption calls : 1487469
% 38.77/6.29  % Non-unit clause-clause subsumptions  : 5006
% 38.77/6.29  % Unit Clause-clause subsumption calls : 430803
% 38.77/6.29  % Rewrite failures with RHS unbound    : 0
% 38.77/6.29  % BW rewrite match attempts            : 2709
% 38.77/6.29  % BW rewrite match successes           : 111
% 38.77/6.29  % Condensation attempts                : 0
% 38.77/6.29  % Condensation successes               : 0
% 38.77/6.29  % Termbank termtop insertions          : 2267248
% 38.77/6.29  % Search garbage collected termcells   : 120
% 38.77/6.29  
% 38.77/6.29  % -------------------------------------------------
% 38.77/6.29  % User time                : 4.848 s
% 38.77/6.29  % System time              : 0.158 s
% 38.77/6.29  % Total time               : 5.006 s
% 38.77/6.29  % Maximum resident set size: 3664 pages
% 38.77/6.29  
% 38.77/6.29  % -------------------------------------------------
% 38.77/6.29  % User time                : 26.729 s
% 38.77/6.29  % System time              : 0.842 s
% 38.77/6.29  % Total time               : 27.572 s
% 38.77/6.29  % Maximum resident set size: 4608 pages
% 38.77/6.29  % E exiting
%------------------------------------------------------------------------------