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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : FLD041-1 : TPTP v9.2.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 04:18:21 PM UTC 2026

% Result   : Unsatisfiable 46.03s 26.72s
% Output   : CNFRefutation 46.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   97 (  38 unt;   4 nHn;  97 RR)
%            Number of literals    :  197 (   0 equ; 104 neg)
%            Maximal clause size   :    5 (   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;   4 con; 0-2 aty)
%            Number of variables   :  101 (   0 sgn)

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

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

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

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

cnf(b_not_equal_to_additive_identity_4,negated_conjecture,
    ~ equalish(b,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_not_equal_to_additive_identity_4) ).

cnf(existence_of_identity_addition,axiom,
    ( equalish(add(additive_identity,X1),X1)
    | ~ defined(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',existence_of_identity_addition) ).

cnf(well_definedness_of_additive_identity,axiom,
    defined(additive_identity),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_identity) ).

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

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

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

cnf(multiply_equals_additive_identity_5,negated_conjecture,
    equalish(multiply(a,b),additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_equals_additive_identity_5) ).

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

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

cnf(commutativity_addition,axiom,
    ( equalish(add(X1,X2),add(X2,X1))
    | ~ defined(X1)
    | ~ defined(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/FLD001-0.ax',commutativity_addition) ).

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

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

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

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

cnf(a_not_equal_to_additive_identity_3,negated_conjecture,
    ~ equalish(a,additive_identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_3) ).

cnf(c_0_19,axiom,
    ( equalish(multiply(multiplicative_identity,X1),X1)
    | ~ defined(X1) ),
    existence_of_identity_multiplication ).

cnf(c_0_20,hypothesis,
    defined(a),
    a_is_defined ).

cnf(c_0_21,axiom,
    ( equalish(multiply(X1,multiplicative_inverse(X1)),multiplicative_identity)
    | equalish(X1,additive_identity)
    | ~ defined(X1) ),
    existence_of_inverse_multiplication ).

cnf(c_0_22,hypothesis,
    defined(b),
    b_is_defined ).

cnf(c_0_23,negated_conjecture,
    ~ equalish(b,additive_identity),
    b_not_equal_to_additive_identity_4 ).

cnf(c_0_24,axiom,
    ( equalish(add(additive_identity,X1),X1)
    | ~ defined(X1) ),
    existence_of_identity_addition ).

cnf(c_0_25,axiom,
    defined(additive_identity),
    well_definedness_of_additive_identity ).

cnf(c_0_26,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X1,X3)
    | ~ equalish(X3,X2) ),
    transitivity_of_equality ).

cnf(c_0_27,hypothesis,
    equalish(multiply(multiplicative_identity,a),a),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_28,axiom,
    ( equalish(multiply(X1,X2),multiply(X3,X2))
    | ~ defined(X2)
    | ~ equalish(X1,X3) ),
    compatibility_of_equality_and_multiplication ).

cnf(c_0_29,hypothesis,
    equalish(multiply(b,multiplicative_inverse(b)),multiplicative_identity),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

cnf(c_0_30,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X2,X1) ),
    symmetry_of_equality ).

cnf(c_0_31,negated_conjecture,
    equalish(multiply(a,b),additive_identity),
    multiply_equals_additive_identity_5 ).

cnf(c_0_32,hypothesis,
    equalish(add(additive_identity,a),a),
    inference(spm,[status(thm)],[c_0_24,c_0_20]) ).

cnf(c_0_33,plain,
    equalish(multiply(multiplicative_identity,additive_identity),additive_identity),
    inference(spm,[status(thm)],[c_0_19,c_0_25]) ).

cnf(c_0_34,hypothesis,
    ( equalish(X1,a)
    | ~ equalish(X1,multiply(multiplicative_identity,a)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_35,hypothesis,
    ( equalish(multiply(multiply(b,multiplicative_inverse(b)),X1),multiply(multiplicative_identity,X1))
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_36,axiom,
    ( equalish(multiply(X1,X2),multiply(X2,X1))
    | ~ defined(X1)
    | ~ defined(X2) ),
    commutativity_multiplication ).

cnf(c_0_37,negated_conjecture,
    equalish(additive_identity,multiply(a,b)),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_38,negated_conjecture,
    ( equalish(X1,additive_identity)
    | ~ equalish(X1,multiply(a,b)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_31]) ).

cnf(c_0_39,hypothesis,
    ( equalish(multiply(add(additive_identity,a),X1),multiply(a,X1))
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_32]) ).

cnf(c_0_40,axiom,
    ( equalish(add(multiply(X1,X2),multiply(X3,X2)),multiply(add(X1,X3),X2))
    | ~ defined(X1)
    | ~ defined(X3)
    | ~ defined(X2) ),
    distributivity ).

cnf(c_0_41,axiom,
    ( equalish(add(X1,X2),add(X2,X1))
    | ~ defined(X1)
    | ~ defined(X2) ),
    commutativity_addition ).

cnf(c_0_42,axiom,
    ( defined(multiply(X1,X2))
    | ~ defined(X1)
    | ~ defined(X2) ),
    well_definedness_of_multiplication ).

cnf(c_0_43,plain,
    ( equalish(X1,additive_identity)
    | ~ equalish(X1,multiply(multiplicative_identity,additive_identity)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_33]) ).

cnf(c_0_44,hypothesis,
    equalish(multiply(multiply(b,multiplicative_inverse(b)),a),a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_20])]) ).

cnf(c_0_45,axiom,
    ( defined(multiplicative_inverse(X1))
    | equalish(X1,additive_identity)
    | ~ defined(X1) ),
    well_definedness_of_multiplicative_inverse ).

cnf(c_0_46,hypothesis,
    ( equalish(multiply(X1,b),multiply(b,X1))
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_22]) ).

cnf(c_0_47,negated_conjecture,
    ( equalish(X1,multiply(a,b))
    | ~ equalish(X1,additive_identity) ),
    inference(spm,[status(thm)],[c_0_26,c_0_37]) ).

cnf(c_0_48,negated_conjecture,
    equalish(multiply(add(additive_identity,a),b),additive_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_22])]) ).

cnf(c_0_49,plain,
    ( equalish(X1,multiply(add(X2,X3),X4))
    | ~ defined(X3)
    | ~ defined(X4)
    | ~ defined(X2)
    | ~ equalish(X1,add(multiply(X2,X4),multiply(X3,X4))) ),
    inference(spm,[status(thm)],[c_0_26,c_0_40]) ).

cnf(c_0_50,plain,
    ( equalish(add(X1,multiply(X2,X3)),add(multiply(X2,X3),X1))
    | ~ defined(X1)
    | ~ defined(X3)
    | ~ defined(X2) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_51,hypothesis,
    equalish(multiply(multiply(b,multiplicative_inverse(b)),additive_identity),additive_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_35]),c_0_25])]) ).

cnf(c_0_52,hypothesis,
    ( equalish(X1,a)
    | ~ equalish(X1,multiply(multiply(b,multiplicative_inverse(b)),a)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_44]) ).

cnf(c_0_53,plain,
    ( equalish(multiply(X1,multiply(X2,X3)),multiply(multiply(X2,X3),X1))
    | ~ defined(X1)
    | ~ defined(X3)
    | ~ defined(X2) ),
    inference(spm,[status(thm)],[c_0_36,c_0_42]) ).

cnf(c_0_54,hypothesis,
    defined(multiplicative_inverse(b)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_22]),c_0_23]) ).

cnf(c_0_55,hypothesis,
    equalish(multiply(a,b),multiply(b,a)),
    inference(spm,[status(thm)],[c_0_46,c_0_20]) ).

cnf(c_0_56,negated_conjecture,
    ( equalish(multiply(a,b),X1)
    | ~ equalish(X1,additive_identity) ),
    inference(spm,[status(thm)],[c_0_30,c_0_47]) ).

cnf(c_0_57,axiom,
    ( equalish(add(X1,X2),add(X3,X2))
    | ~ defined(X2)
    | ~ equalish(X1,X3) ),
    compatibility_of_equality_and_addition ).

cnf(c_0_58,negated_conjecture,
    ( equalish(X1,additive_identity)
    | ~ equalish(X1,multiply(add(additive_identity,a),b)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_48]) ).

cnf(c_0_59,plain,
    ( equalish(add(multiply(X1,X2),multiply(X3,X2)),multiply(add(X3,X1),X2))
    | ~ defined(X1)
    | ~ defined(X2)
    | ~ defined(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_42]) ).

cnf(c_0_60,hypothesis,
    ( equalish(X1,additive_identity)
    | ~ equalish(X1,multiply(multiply(b,multiplicative_inverse(b)),additive_identity)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_51]) ).

cnf(c_0_61,hypothesis,
    equalish(multiply(a,multiply(b,multiplicative_inverse(b))),a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_20]),c_0_54]),c_0_22])]) ).

cnf(c_0_62,axiom,
    ( equalish(multiply(X1,multiply(X2,X3)),multiply(multiply(X1,X2),X3))
    | ~ defined(X1)
    | ~ defined(X2)
    | ~ defined(X3) ),
    associativity_multiplication ).

cnf(c_0_63,hypothesis,
    equalish(multiply(b,a),multiply(a,b)),
    inference(spm,[status(thm)],[c_0_30,c_0_55]) ).

cnf(c_0_64,hypothesis,
    equalish(a,multiply(multiplicative_identity,a)),
    inference(spm,[status(thm)],[c_0_30,c_0_27]) ).

cnf(c_0_65,negated_conjecture,
    ( equalish(multiply(a,b),a)
    | ~ equalish(multiply(multiplicative_identity,a),additive_identity) ),
    inference(spm,[status(thm)],[c_0_34,c_0_56]) ).

cnf(c_0_66,negated_conjecture,
    ( equalish(add(multiply(a,b),X1),add(additive_identity,X1))
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_31]) ).

cnf(c_0_67,negated_conjecture,
    equalish(add(multiply(a,b),multiply(additive_identity,b)),additive_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_20]),c_0_22]),c_0_25])]) ).

cnf(c_0_68,hypothesis,
    equalish(multiply(additive_identity,multiply(b,multiplicative_inverse(b))),additive_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_53]),c_0_25]),c_0_54]),c_0_22])]) ).

cnf(c_0_69,hypothesis,
    ( equalish(X1,a)
    | ~ equalish(X1,multiply(a,multiply(b,multiplicative_inverse(b)))) ),
    inference(spm,[status(thm)],[c_0_26,c_0_61]) ).

cnf(c_0_70,plain,
    ( equalish(multiply(multiply(X1,X2),X3),multiply(X1,multiply(X2,X3)))
    | ~ defined(X3)
    | ~ defined(X2)
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_62]) ).

cnf(c_0_71,negated_conjecture,
    equalish(multiply(b,a),additive_identity),
    inference(spm,[status(thm)],[c_0_38,c_0_63]) ).

cnf(c_0_72,hypothesis,
    ( equalish(X1,multiply(multiplicative_identity,a))
    | ~ equalish(X1,a) ),
    inference(spm,[status(thm)],[c_0_26,c_0_64]) ).

cnf(c_0_73,negated_conjecture,
    ( equalish(a,multiply(a,b))
    | ~ equalish(multiply(multiplicative_identity,a),additive_identity) ),
    inference(spm,[status(thm)],[c_0_30,c_0_65]) ).

cnf(c_0_74,negated_conjecture,
    ~ equalish(a,additive_identity),
    a_not_equal_to_additive_identity_3 ).

cnf(c_0_75,negated_conjecture,
    ( equalish(X1,add(additive_identity,X2))
    | ~ defined(X2)
    | ~ equalish(X1,add(multiply(a,b),X2)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_66]) ).

cnf(c_0_76,negated_conjecture,
    equalish(additive_identity,add(multiply(a,b),multiply(additive_identity,b))),
    inference(spm,[status(thm)],[c_0_30,c_0_67]) ).

cnf(c_0_77,hypothesis,
    ( equalish(X1,additive_identity)
    | ~ equalish(X1,multiply(additive_identity,multiply(b,multiplicative_inverse(b)))) ),
    inference(spm,[status(thm)],[c_0_26,c_0_68]) ).

cnf(c_0_78,hypothesis,
    equalish(multiply(multiply(a,b),multiplicative_inverse(b)),a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_54]),c_0_22]),c_0_20])]) ).

cnf(c_0_79,negated_conjecture,
    ( equalish(X1,X2)
    | ~ equalish(X1,multiply(a,b))
    | ~ equalish(X2,additive_identity) ),
    inference(spm,[status(thm)],[c_0_26,c_0_56]) ).

cnf(c_0_80,negated_conjecture,
    ( equalish(X1,additive_identity)
    | ~ equalish(X1,multiply(b,a)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_71]) ).

cnf(c_0_81,hypothesis,
    ( equalish(multiply(multiplicative_identity,a),X1)
    | ~ equalish(X1,a) ),
    inference(spm,[status(thm)],[c_0_30,c_0_72]) ).

cnf(c_0_82,negated_conjecture,
    ~ equalish(multiply(multiplicative_identity,a),additive_identity),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_73]),c_0_74]) ).

cnf(c_0_83,plain,
    ( equalish(add(additive_identity,multiply(X1,X2)),multiply(X1,X2))
    | ~ defined(X2)
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_42]) ).

cnf(c_0_84,negated_conjecture,
    ( equalish(additive_identity,add(additive_identity,multiply(additive_identity,b)))
    | ~ defined(multiply(additive_identity,b)) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_85,hypothesis,
    equalish(multiply(multiply(additive_identity,b),multiplicative_inverse(b)),additive_identity),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_70]),c_0_54]),c_0_22]),c_0_25])]) ).

cnf(c_0_86,hypothesis,
    ( equalish(X1,a)
    | ~ equalish(X1,multiply(multiply(a,b),multiplicative_inverse(b))) ),
    inference(spm,[status(thm)],[c_0_26,c_0_78]) ).

cnf(c_0_87,negated_conjecture,
    ( equalish(multiply(b,a),X1)
    | ~ equalish(X1,additive_identity) ),
    inference(spm,[status(thm)],[c_0_79,c_0_63]) ).

cnf(c_0_88,hypothesis,
    ~ equalish(multiply(b,a),a),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).

cnf(c_0_89,plain,
    ( equalish(X1,multiply(X2,X3))
    | ~ defined(X3)
    | ~ defined(X2)
    | ~ equalish(X1,add(additive_identity,multiply(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_26,c_0_83]) ).

cnf(c_0_90,negated_conjecture,
    equalish(additive_identity,add(additive_identity,multiply(additive_identity,b))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_42]),c_0_22]),c_0_25])]) ).

cnf(c_0_91,hypothesis,
    ( equalish(X1,additive_identity)
    | ~ equalish(X1,multiply(multiply(additive_identity,b),multiplicative_inverse(b))) ),
    inference(spm,[status(thm)],[c_0_26,c_0_85]) ).

cnf(c_0_92,negated_conjecture,
    ( equalish(multiply(multiply(a,b),X1),multiply(X2,X1))
    | ~ defined(X1)
    | ~ equalish(X2,additive_identity) ),
    inference(spm,[status(thm)],[c_0_28,c_0_56]) ).

cnf(c_0_93,negated_conjecture,
    ~ equalish(multiply(multiply(a,b),multiplicative_inverse(b)),additive_identity),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).

cnf(c_0_94,negated_conjecture,
    equalish(additive_identity,multiply(additive_identity,b)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_22]),c_0_25])]) ).

cnf(c_0_95,negated_conjecture,
    ~ equalish(multiply(additive_identity,b),additive_identity),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_54])]),c_0_93]) ).

cnf(c_0_96,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_94]),c_0_95]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : FLD041-1 : TPTP v9.2.1. Bugfixed v2.1.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33  % Computer : n026.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Mon May  4 17:28:53 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.35  % start to proof: theBenchmark
% 46.03/26.72  % Version  : CSE_E---1.7
% 46.03/26.72  % Problem  : theBenchmark.p
% 46.03/26.72  % SZS status Unsatisfiable for theBenchmark.p
% 46.03/26.72  % SZS output start CNFRefutation
% See solution above
% 46.14/26.89  % Total time : 20.404s
%------------------------------------------------------------------------------