%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : FLD048-4 : 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 : n015.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 28.80s 4.89s
% Output : CNFRefutation 28.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 27
% Syntax : Number of clauses : 132 ( 67 unt; 6 nHn; 132 RR)
% Number of literals : 247 ( 0 equ; 118 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 169 ( 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(c_is_defined,hypothesis,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_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(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(product_14,negated_conjecture,
product(c,multiplicative_inverse(d),t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_14) ).
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(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(product_13,negated_conjecture,
product(a,multiplicative_inverse(b),s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_13) ).
cnf(not_sum_11,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_11) ).
cnf(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
cnf(not_sum_10,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_10) ).
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(d_is_defined,hypothesis,
defined(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_is_defined) ).
cnf(product_15,negated_conjecture,
product(a,c,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_15) ).
cnf(t_is_defined,hypothesis,
defined(t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_is_defined) ).
cnf(product_12,negated_conjecture,
product(s,t,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_12) ).
cnf(product_16,negated_conjecture,
product(b,d,l),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_16) ).
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(l_is_defined,hypothesis,
defined(l),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l_is_defined) ).
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(not_product_17,negated_conjecture,
~ product(k,multiplicative_inverse(l),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_17) ).
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(s_is_defined,hypothesis,
defined(s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_is_defined) ).
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_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
cnf(c_0_27,plain,
( ~ defined(X1)
| product(multiplicative_identity,X1,X1) ),
inference(fof_simplification,[status(thm)],[existence_of_identity_multiplication]) ).
cnf(c_0_28,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_29,plain,
( ~ defined(X1)
| product(multiplicative_identity,X1,X1) ),
c_0_27 ).
cnf(c_0_30,hypothesis,
defined(c),
c_is_defined ).
cnf(c_0_31,plain,
( ~ product(X2,X1,X3)
| product(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[commutativity_multiplication]) ).
cnf(c_0_32,hypothesis,
defined(a),
a_is_defined ).
cnf(c_0_33,plain,
( ~ product(X5,X6,X3)
| ~ product(X4,X6,X2)
| ~ product(X1,X4,X5)
| product(X1,X2,X3) ),
c_0_28 ).
cnf(c_0_34,hypothesis,
product(multiplicative_identity,c,c),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,plain,
( ~ product(X2,X1,X3)
| product(X1,X2,X3) ),
c_0_31 ).
cnf(c_0_36,negated_conjecture,
product(c,multiplicative_inverse(d),t),
product_14 ).
cnf(c_0_37,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_38,plain,
( ~ defined(X2)
| ~ defined(X1)
| product(X1,X2,multiply(X1,X2)) ),
inference(fof_simplification,[status(thm)],[totality_of_multiplication]) ).
cnf(c_0_39,hypothesis,
product(multiplicative_identity,a,a),
inference(spm,[status(thm)],[c_0_29,c_0_32]) ).
cnf(c_0_40,negated_conjecture,
product(a,multiplicative_inverse(b),s),
product_13 ).
cnf(c_0_41,hypothesis,
( ~ product(X1,X3,multiplicative_identity)
| ~ product(X3,c,X2)
| product(X1,X2,c) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_42,negated_conjecture,
product(multiplicative_inverse(d),c,t),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,plain,
( ~ defined(X1)
| sum(additive_identity,X1,additive_identity)
| product(multiplicative_inverse(X1),X1,multiplicative_identity) ),
c_0_37 ).
cnf(c_0_44,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
inference(fof_simplification,[status(thm)],[not_sum_11]) ).
cnf(c_0_45,plain,
( ~ defined(X2)
| ~ defined(X1)
| product(X1,X2,multiply(X1,X2)) ),
c_0_38 ).
cnf(c_0_46,hypothesis,
defined(b),
b_is_defined ).
cnf(c_0_47,hypothesis,
( ~ product(X1,X3,multiplicative_identity)
| ~ product(X3,a,X2)
| product(X1,X2,a) ),
inference(spm,[status(thm)],[c_0_33,c_0_39]) ).
cnf(c_0_48,negated_conjecture,
product(multiplicative_inverse(b),a,s),
inference(spm,[status(thm)],[c_0_35,c_0_40]) ).
cnf(c_0_49,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
inference(fof_simplification,[status(thm)],[not_sum_10]) ).
cnf(c_0_50,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_51,negated_conjecture,
( ~ product(X1,multiplicative_inverse(d),multiplicative_identity)
| product(X1,t,c) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_52,plain,
( ~ defined(X1)
| sum(additive_identity,X1,additive_identity)
| product(X1,multiplicative_inverse(X1),multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_35,c_0_43]) ).
cnf(c_0_53,hypothesis,
defined(d),
d_is_defined ).
cnf(c_0_54,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
c_0_44 ).
cnf(c_0_55,negated_conjecture,
product(a,c,k),
product_15 ).
cnf(c_0_56,hypothesis,
( ~ defined(X1)
| product(b,X1,multiply(b,X1)) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_57,negated_conjecture,
( ~ product(X1,multiplicative_inverse(b),multiplicative_identity)
| product(X1,s,a) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_58,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
c_0_49 ).
cnf(c_0_59,plain,
( ~ product(X4,X6,X3)
| ~ product(X5,X2,X6)
| ~ product(X4,X5,X1)
| product(X1,X2,X3) ),
c_0_50 ).
cnf(c_0_60,negated_conjecture,
product(d,t,c),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]),c_0_54]) ).
cnf(c_0_61,negated_conjecture,
( ~ product(X1,X3,a)
| ~ product(X3,c,X2)
| product(X1,X2,k) ),
inference(spm,[status(thm)],[c_0_33,c_0_55]) ).
cnf(c_0_62,hypothesis,
product(b,c,multiply(b,c)),
inference(spm,[status(thm)],[c_0_56,c_0_30]) ).
cnf(c_0_63,negated_conjecture,
product(b,s,a),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_52]),c_0_46])]),c_0_58]) ).
cnf(c_0_64,hypothesis,
defined(t),
t_is_defined ).
cnf(c_0_65,negated_conjecture,
( ~ product(X3,d,X1)
| ~ product(X3,c,X2)
| product(X1,t,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_66,negated_conjecture,
product(s,t,u),
product_12 ).
cnf(c_0_67,negated_conjecture,
( ~ product(X1,b,a)
| product(X1,multiply(b,c),k) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_68,negated_conjecture,
product(s,b,a),
inference(spm,[status(thm)],[c_0_35,c_0_63]) ).
cnf(c_0_69,hypothesis,
product(multiplicative_identity,t,t),
inference(spm,[status(thm)],[c_0_29,c_0_64]) ).
cnf(c_0_70,hypothesis,
( ~ product(b,d,X1)
| product(X1,t,multiply(b,c)) ),
inference(spm,[status(thm)],[c_0_65,c_0_62]) ).
cnf(c_0_71,negated_conjecture,
product(b,d,l),
product_16 ).
cnf(c_0_72,negated_conjecture,
product(t,s,u),
inference(spm,[status(thm)],[c_0_35,c_0_66]) ).
cnf(c_0_73,negated_conjecture,
product(s,multiply(b,c),k),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,hypothesis,
( ~ product(X1,X3,multiplicative_identity)
| ~ product(X3,t,X2)
| product(X1,X2,t) ),
inference(spm,[status(thm)],[c_0_33,c_0_69]) ).
cnf(c_0_75,negated_conjecture,
product(l,t,multiply(b,c)),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_76,hypothesis,
product(multiplicative_identity,d,d),
inference(spm,[status(thm)],[c_0_29,c_0_53]) ).
cnf(c_0_77,plain,
( ~ defined(X1)
| sum(additive_identity,X1,X1) ),
inference(fof_simplification,[status(thm)],[existence_of_identity_addition]) ).
cnf(c_0_78,negated_conjecture,
( ~ product(X1,X3,t)
| ~ product(X3,s,X2)
| product(X1,X2,u) ),
inference(spm,[status(thm)],[c_0_33,c_0_72]) ).
cnf(c_0_79,negated_conjecture,
product(multiply(b,c),s,k),
inference(spm,[status(thm)],[c_0_35,c_0_73]) ).
cnf(c_0_80,hypothesis,
( ~ product(X1,l,multiplicative_identity)
| product(X1,multiply(b,c),t) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_81,hypothesis,
defined(l),
l_is_defined ).
cnf(c_0_82,hypothesis,
( ~ product(X1,X3,multiplicative_identity)
| ~ product(X3,d,X2)
| product(X1,X2,d) ),
inference(spm,[status(thm)],[c_0_33,c_0_76]) ).
cnf(c_0_83,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_84,plain,
( ~ defined(X1)
| sum(additive_identity,X1,X1) ),
c_0_77 ).
cnf(c_0_85,negated_conjecture,
( ~ product(X1,multiply(b,c),t)
| product(X1,k,u) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_86,hypothesis,
( sum(additive_identity,l,additive_identity)
| product(multiplicative_inverse(l),multiply(b,c),t) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_43]),c_0_81])]) ).
cnf(c_0_87,negated_conjecture,
~ product(k,multiplicative_inverse(l),u),
inference(fof_simplification,[status(thm)],[not_product_17]) ).
cnf(c_0_88,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_89,negated_conjecture,
( ~ product(X1,b,multiplicative_identity)
| product(X1,l,d) ),
inference(spm,[status(thm)],[c_0_82,c_0_71]) ).
cnf(c_0_90,plain,
( ~ sum(X5,X6,X3)
| ~ sum(X4,X6,X2)
| ~ sum(X1,X4,X5)
| sum(X1,X2,X3) ),
c_0_83 ).
cnf(c_0_91,hypothesis,
sum(additive_identity,a,a),
inference(spm,[status(thm)],[c_0_84,c_0_32]) ).
cnf(c_0_92,plain,
( ~ sum(X2,X1,X3)
| sum(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[commutativity_addition]) ).
cnf(c_0_93,negated_conjecture,
( sum(additive_identity,l,additive_identity)
| product(multiplicative_inverse(l),k,u) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_94,negated_conjecture,
~ product(k,multiplicative_inverse(l),u),
c_0_87 ).
cnf(c_0_95,plain,
( ~ product(X5,X7,X2)
| ~ product(X4,X7,X1)
| ~ product(X6,X7,X3)
| ~ sum(X4,X5,X6)
| sum(X1,X2,X3) ),
c_0_88 ).
cnf(c_0_96,negated_conjecture,
product(multiplicative_inverse(b),l,d),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_43]),c_0_46])]),c_0_58]) ).
cnf(c_0_97,hypothesis,
( ~ sum(X1,X3,additive_identity)
| ~ sum(X3,a,X2)
| sum(X1,X2,a) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_98,plain,
( ~ sum(X2,X1,X3)
| sum(X1,X2,X3) ),
c_0_92 ).
cnf(c_0_99,negated_conjecture,
sum(additive_identity,l,additive_identity),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_93]),c_0_94]) ).
cnf(c_0_100,negated_conjecture,
( ~ sum(X4,X3,a)
| ~ product(X4,multiplicative_inverse(b),X1)
| ~ product(X3,multiplicative_inverse(b),X2)
| sum(X1,X2,s) ),
inference(spm,[status(thm)],[c_0_95,c_0_40]) ).
cnf(c_0_101,negated_conjecture,
product(l,multiplicative_inverse(b),d),
inference(spm,[status(thm)],[c_0_35,c_0_96]) ).
cnf(c_0_102,hypothesis,
( ~ sum(X1,additive_identity,additive_identity)
| sum(X1,a,a) ),
inference(spm,[status(thm)],[c_0_97,c_0_91]) ).
cnf(c_0_103,negated_conjecture,
sum(l,additive_identity,additive_identity),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_104,hypothesis,
defined(s),
s_is_defined ).
cnf(c_0_105,negated_conjecture,
( ~ sum(X2,l,a)
| ~ product(X2,multiplicative_inverse(b),X1)
| sum(X1,d,s) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_106,hypothesis,
sum(l,a,a),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_107,plain,
( ~ defined(X1)
| sum(additive_inverse(X1),X1,additive_identity) ),
inference(fof_simplification,[status(thm)],[existence_of_inverse_addition]) ).
cnf(c_0_108,hypothesis,
sum(additive_identity,s,s),
inference(spm,[status(thm)],[c_0_84,c_0_104]) ).
cnf(c_0_109,hypothesis,
sum(additive_identity,d,d),
inference(spm,[status(thm)],[c_0_84,c_0_53]) ).
cnf(c_0_110,negated_conjecture,
( ~ sum(a,l,a)
| sum(s,d,s) ),
inference(spm,[status(thm)],[c_0_105,c_0_40]) ).
cnf(c_0_111,hypothesis,
sum(a,l,a),
inference(spm,[status(thm)],[c_0_98,c_0_106]) ).
cnf(c_0_112,plain,
( ~ defined(X1)
| sum(additive_inverse(X1),X1,additive_identity) ),
c_0_107 ).
cnf(c_0_113,hypothesis,
( ~ sum(X1,X3,additive_identity)
| ~ sum(X3,s,X2)
| sum(X1,X2,s) ),
inference(spm,[status(thm)],[c_0_90,c_0_108]) ).
cnf(c_0_114,hypothesis,
( ~ sum(X1,X3,additive_identity)
| ~ sum(X3,d,X2)
| sum(X1,X2,d) ),
inference(spm,[status(thm)],[c_0_90,c_0_109]) ).
cnf(c_0_115,negated_conjecture,
sum(s,d,s),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_111])]) ).
cnf(c_0_116,plain,
( ~ defined(X1)
| sum(X1,additive_inverse(X1),additive_identity) ),
inference(spm,[status(thm)],[c_0_98,c_0_112]) ).
cnf(c_0_117,hypothesis,
( ~ sum(X1,additive_identity,additive_identity)
| sum(X1,s,s) ),
inference(spm,[status(thm)],[c_0_113,c_0_108]) ).
cnf(c_0_118,hypothesis,
( ~ sum(X1,s,additive_identity)
| sum(X1,s,d) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_119,axiom,
defined(additive_identity),
well_definedness_of_additive_identity ).
cnf(c_0_120,plain,
( ~ sum(X1,X4,X3)
| ~ sum(X4,additive_inverse(X3),X2)
| ~ defined(X3)
| sum(X1,X2,additive_identity) ),
inference(spm,[status(thm)],[c_0_90,c_0_116]) ).
cnf(c_0_121,hypothesis,
sum(l,s,s),
inference(spm,[status(thm)],[c_0_117,c_0_103]) ).
cnf(c_0_122,hypothesis,
sum(additive_inverse(s),s,d),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_112]),c_0_104])]) ).
cnf(c_0_123,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(spm,[status(thm)],[c_0_84,c_0_119]) ).
cnf(c_0_124,hypothesis,
( ~ sum(s,additive_inverse(s),X1)
| sum(l,X1,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_104])]) ).
cnf(c_0_125,hypothesis,
sum(s,additive_inverse(s),d),
inference(spm,[status(thm)],[c_0_98,c_0_122]) ).
cnf(c_0_126,plain,
( ~ sum(X1,X3,additive_identity)
| ~ sum(X3,additive_identity,X2)
| sum(X1,X2,additive_identity) ),
inference(spm,[status(thm)],[c_0_90,c_0_123]) ).
cnf(c_0_127,hypothesis,
sum(l,d,additive_identity),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_128,negated_conjecture,
( ~ sum(X1,l,additive_identity)
| sum(X1,additive_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_126,c_0_103]) ).
cnf(c_0_129,hypothesis,
sum(d,l,additive_identity),
inference(spm,[status(thm)],[c_0_98,c_0_127]) ).
cnf(c_0_130,negated_conjecture,
sum(d,additive_identity,additive_identity),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_131,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_130]),c_0_54]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : FLD048-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n015.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Mon Sep 21 15:44:23 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.48 Running first-order theorem proving
% 0.18/0.48 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
% 28.80/4.89 % Version: 3.5.1
% 28.80/4.89 % Preprocessing class: FSMSSMSMSSSNFFN.
% 28.80/4.89 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 28.80/4.89 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 28.80/4.89 % Starting new_bool_3 with 300s (1) cores
% 28.80/4.89 % Starting new_bool_1 with 300s (1) cores
% 28.80/4.89 % Starting sh5l with 300s (1) cores
% 28.80/4.89 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1816961 completed with status 0
% 28.80/4.89 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 28.80/4.89 % Preprocessing class: FSMSSMSMSSSNFFN.
% 28.80/4.89 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 28.80/4.89 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 28.80/4.89 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 28.80/4.89 % No SInE strategy applied
% 28.80/4.89 % Search class: FGUNF-FFMM21-SFFFFFNN
% 28.80/4.89 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 28.80/4.89 % Starting SubtermCWHack with 136s (1) cores
% 28.80/4.89 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 28.80/4.89 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 296s (1) cores
% 28.80/4.89 % Starting new_bool_3 with 269s (1) cores
% 28.80/4.89 % Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 136s (1) cores
% 28.80/4.89 % G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with pid 1816969 completed with status 0
% 28.80/4.89 % Result found by G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN
% 28.80/4.89 % Preprocessing class: FSMSSMSMSSSNFFN.
% 28.80/4.89 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 28.80/4.89 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 28.80/4.89 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 28.80/4.89 % No SInE strategy applied
% 28.80/4.89 % Search class: FGUNF-FFMM21-SFFFFFNN
% 28.80/4.89 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 28.80/4.89 % Starting SubtermCWHack with 136s (1) cores
% 28.80/4.89 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 28.80/4.89 % Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 296s (1) cores
% 28.80/4.89 % Starting new_bool_3 with 269s (1) cores
% 28.80/4.89 % Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 136s (1) cores
% 28.80/4.89 % Preprocessing time : 0.002 s
% 28.80/4.89 % Presaturation interreduction done
% 28.80/4.89
% 28.80/4.89 % Proof found!
% 28.80/4.89 % SZS status Unsatisfiable
% 28.80/4.89 % SZS output start CNFRefutation
% See solution above
% 28.80/4.89 % Parsed axioms : 43
% 28.80/4.89 % Removed by relevancy pruning/SinE : 0
% 28.80/4.89 % Initial clauses : 43
% 28.80/4.89 % Removed in clause preprocessing : 0
% 28.80/4.89 % Initial clauses in saturation : 43
% 28.80/4.89 % Processed clauses : 7931
% 28.80/4.89 % ...of these trivial : 515
% 28.80/4.89 % ...subsumed : 219
% 28.80/4.89 % ...remaining for further processing : 7197
% 28.80/4.89 % Other redundant clauses eliminated : 0
% 28.80/4.89 % Clauses deleted for lack of memory : 0
% 28.80/4.89 % Backward-subsumed : 5
% 28.80/4.89 % Backward-rewritten : 13
% 28.80/4.89 % Generated clauses : 92609
% 28.80/4.89 % ...of the previous two non-redundant : 87308
% 28.80/4.89 % ...aggressively subsumed : 0
% 28.80/4.89 % Contextual simplify-reflections : 0
% 28.80/4.89 % Paramodulations : 92603
% 28.80/4.89 % Factorizations : 6
% 28.80/4.89 % NegExts : 0
% 28.80/4.89 % Equation resolutions : 0
% 28.80/4.89 % Disequality decompositions : 0
% 28.80/4.89 % Total rewrite steps : 23810
% 28.80/4.89 % ...of those cached : 21877
% 28.80/4.89 % Propositional unsat checks : 0
% 28.80/4.89 % Propositional check models : 0
% 28.80/4.89 % Propositional check unsatisfiable : 0
% 28.80/4.89 % Propositional clauses : 0
% 28.80/4.89 % Propositional clauses after purity: 0
% 28.80/4.89 % Propositional unsat core size : 0
% 28.80/4.89 % Propositional preprocessing time : 0.000
% 28.80/4.89 % Propositional encoding time : 0.000
% 28.80/4.89 % Propositional solver time : 0.000
% 28.80/4.89 % Success case prop preproc time : 0.000
% 28.80/4.89 % Success case prop encoding time : 0.000
% 28.80/4.89 % Success case prop solver time : 0.000
% 28.80/4.89 % Current number of processed clauses : 7136
% 28.80/4.89 % Positive orientable unit clauses : 2521
% 28.80/4.89 % Positive unorientable unit clauses: 0
% 28.80/4.89 % Negative unit clauses : 4
% 28.80/4.89 % Non-unit-clauses : 4611
% 28.80/4.89 % Current number of unprocessed clauses: 79461
% 28.80/4.89 % ...number of literals in the above : 243270
% 28.80/4.89 % Current number of archived formulas : 0
% 28.80/4.89 % Current number of archived clauses : 61
% 28.80/4.89 % Clause-clause subsumption calls (NU) : 1269329
% 28.80/4.89 % Rec. Clause-clause subsumption calls : 1046491
% 28.80/4.89 % Non-unit clause-clause subsumptions : 221
% 28.80/4.89 % Unit Clause-clause subsumption calls : 343839
% 28.80/4.89 % Rewrite failures with RHS unbound : 0
% 28.80/4.89 % BW rewrite match attempts : 2157
% 28.80/4.89 % BW rewrite match successes : 9
% 28.80/4.89 % Condensation attempts : 0
% 28.80/4.89 % Condensation successes : 0
% 28.80/4.89 % Termbank termtop insertions : 1485267
% 28.80/4.89 % Search garbage collected termcells : 120
% 28.80/4.89
% 28.80/4.89 % -------------------------------------------------
% 28.80/4.89 % User time : 3.694 s
% 28.80/4.89 % System time : 0.124 s
% 28.80/4.89 % Total time : 3.818 s
% 28.80/4.89 % Maximum resident set size: 3412 pages
% 28.80/4.89
% 28.80/4.89 % -------------------------------------------------
% 28.80/4.89 % User time : 19.810 s
% 28.80/4.89 % System time : 0.685 s
% 28.80/4.89 % Total time : 20.496 s
% 28.80/4.89 % Maximum resident set size: 4608 pages
% 28.80/4.89 % E exiting
%------------------------------------------------------------------------------