%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : FLD009-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:23:06 PM UTC 2026
% Result : Unsatisfiable 2.01s 0.81s
% Output : CNFRefutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 21
% Syntax : Number of clauses : 101 ( 30 unt; 11 nHn; 101 RR)
% Number of literals : 250 ( 0 equ; 144 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 205 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(totality_of_order_relation,axiom,
( ~ defined(X2)
| ~ defined(X1)
| less_or_equal(X2,X1)
| less_or_equal(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_order_relation) ).
cnf(well_definedness_of_multiplicative_identity,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).
cnf(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
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/sandbox/benchmark/Axioms/FLD002-0.ax',distributivity_1) ).
cnf(existence_of_identity_multiplication,axiom,
( ~ defined(X1)
| product(multiplicative_identity,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
cnf(antisymmetry_of_order_relation,axiom,
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X1,X2)
| sum(additive_identity,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',antisymmetry_of_order_relation) ).
cnf(commutativity_addition,axiom,
( ~ sum(X2,X1,X3)
| sum(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
cnf(existence_of_inverse_addition,axiom,
( ~ defined(X1)
| sum(additive_inverse(X1),X1,additive_identity) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_addition) ).
cnf(commutativity_multiplication,axiom,
( ~ product(X2,X1,X3)
| product(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
cnf(associativity_addition_1,axiom,
( ~ sum(X5,X6,X3)
| ~ sum(X4,X6,X2)
| ~ sum(X1,X4,X5)
| sum(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_1) ).
cnf(existence_of_identity_addition,axiom,
( ~ defined(X1)
| sum(additive_identity,X1,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_identity_addition) ).
cnf(totality_of_multiplication,axiom,
( ~ defined(X2)
| ~ defined(X1)
| product(X1,X2,multiply(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_multiplication) ).
cnf(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
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/sandbox/benchmark/Axioms/FLD002-0.ax',distributivity_2) ).
cnf(associativity_multiplication_2,axiom,
( ~ product(X4,X6,X3)
| ~ product(X5,X2,X6)
| ~ product(X4,X5,X1)
| product(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).
cnf(existence_of_inverse_multiplication,axiom,
( ~ defined(X1)
| sum(additive_identity,X1,additive_identity)
| product(multiplicative_inverse(X1),X1,multiplicative_identity) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
cnf(not_sum_3,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_3) ).
cnf(associativity_multiplication_1,axiom,
( ~ product(X5,X6,X3)
| ~ product(X4,X6,X2)
| ~ product(X1,X4,X5)
| product(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(well_definedness_of_multiplicative_inverse,axiom,
( ~ defined(X1)
| sum(additive_identity,X1,additive_identity)
| defined(multiplicative_inverse(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_inverse) ).
cnf(not_product_4,negated_conjecture,
~ product(a,X1,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_4) ).
cnf(c_0_21,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_22,plain,
( ~ defined(X2)
| ~ defined(X1)
| less_or_equal(X2,X1)
| less_or_equal(X1,X2) ),
c_0_21 ).
cnf(c_0_23,axiom,
defined(multiplicative_identity),
well_definedness_of_multiplicative_identity ).
cnf(c_0_24,hypothesis,
defined(b),
b_is_defined ).
cnf(c_0_25,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_26,plain,
( ~ defined(X1)
| product(multiplicative_identity,X1,X1) ),
inference(fof_simplification,[status(thm)],[existence_of_identity_multiplication]) ).
cnf(c_0_27,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_28,plain,
( ~ defined(X1)
| less_or_equal(multiplicative_identity,X1)
| less_or_equal(X1,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,hypothesis,
( ~ defined(X1)
| less_or_equal(b,X1)
| less_or_equal(X1,b) ),
inference(spm,[status(thm)],[c_0_22,c_0_24]) ).
cnf(c_0_30,plain,
( ~ sum(X2,X1,X3)
| sum(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[commutativity_addition]) ).
cnf(c_0_31,plain,
( ~ defined(X1)
| sum(additive_inverse(X1),X1,additive_identity) ),
inference(fof_simplification,[status(thm)],[existence_of_inverse_addition]) ).
cnf(c_0_32,plain,
( ~ product(X5,X7,X2)
| ~ product(X4,X7,X1)
| ~ product(X6,X7,X3)
| ~ sum(X4,X5,X6)
| sum(X1,X2,X3) ),
c_0_25 ).
cnf(c_0_33,plain,
( ~ defined(X1)
| product(multiplicative_identity,X1,X1) ),
c_0_26 ).
cnf(c_0_34,plain,
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X1,X2)
| sum(additive_identity,X1,X2) ),
c_0_27 ).
cnf(c_0_35,plain,
less_or_equal(multiplicative_identity,multiplicative_identity),
inference(spm,[status(thm)],[c_0_28,c_0_23]) ).
cnf(c_0_36,plain,
( ~ product(X2,X1,X3)
| product(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[commutativity_multiplication]) ).
cnf(c_0_37,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_38,hypothesis,
less_or_equal(b,b),
inference(spm,[status(thm)],[c_0_29,c_0_24]) ).
cnf(c_0_39,plain,
( ~ sum(X2,X1,X3)
| sum(X1,X2,X3) ),
c_0_30 ).
cnf(c_0_40,plain,
( ~ defined(X1)
| sum(additive_inverse(X1),X1,additive_identity) ),
c_0_31 ).
cnf(c_0_41,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_32,c_0_33]) ).
cnf(c_0_42,plain,
sum(additive_identity,multiplicative_identity,multiplicative_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_35])]) ).
cnf(c_0_43,plain,
( ~ product(X2,X1,X3)
| product(X1,X2,X3) ),
c_0_36 ).
cnf(c_0_44,plain,
( ~ sum(X5,X6,X3)
| ~ sum(X4,X6,X2)
| ~ sum(X1,X4,X5)
| sum(X1,X2,X3) ),
c_0_37 ).
cnf(c_0_45,hypothesis,
sum(additive_identity,b,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_38]),c_0_38])]) ).
cnf(c_0_46,plain,
( ~ defined(X1)
| sum(additive_identity,X1,X1) ),
inference(fof_simplification,[status(thm)],[existence_of_identity_addition]) ).
cnf(c_0_47,plain,
( ~ defined(X1)
| sum(X1,additive_inverse(X1),additive_identity) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_48,plain,
( ~ defined(X3)
| ~ product(additive_identity,X3,X1)
| ~ product(multiplicative_identity,X3,X2)
| sum(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,plain,
( ~ defined(X1)
| product(X1,multiplicative_identity,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_33]) ).
cnf(c_0_50,plain,
( ~ defined(X2)
| ~ defined(X1)
| product(X1,X2,multiply(X1,X2)) ),
inference(fof_simplification,[status(thm)],[totality_of_multiplication]) ).
cnf(c_0_51,hypothesis,
( ~ sum(X1,X3,additive_identity)
| ~ sum(X3,b,X2)
| sum(X1,X2,b) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_52,plain,
( ~ defined(X1)
| sum(additive_identity,X1,X1) ),
c_0_46 ).
cnf(c_0_53,plain,
( ~ sum(X1,X4,X3)
| ~ sum(X4,additive_inverse(X3),X2)
| ~ defined(X3)
| sum(X1,X2,additive_identity) ),
inference(spm,[status(thm)],[c_0_44,c_0_47]) ).
cnf(c_0_54,plain,
( ~ 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_48,c_0_49]),c_0_23])]) ).
cnf(c_0_55,plain,
( ~ defined(X2)
| ~ defined(X1)
| product(X1,X2,multiply(X1,X2)) ),
c_0_50 ).
cnf(c_0_56,axiom,
defined(additive_identity),
well_definedness_of_additive_identity ).
cnf(c_0_57,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_58,hypothesis,
( ~ sum(X1,additive_identity,additive_identity)
| sum(X1,b,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_24])]) ).
cnf(c_0_59,plain,
( ~ sum(X1,X2,X2)
| ~ defined(X2)
| sum(X1,additive_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_53,c_0_47]) ).
cnf(c_0_60,plain,
sum(multiply(additive_identity,multiplicative_identity),multiplicative_identity,multiplicative_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_23]),c_0_56])]) ).
cnf(c_0_61,plain,
( ~ sum(X6,X7,X3)
| ~ product(X5,X2,X7)
| ~ product(X4,X2,X6)
| ~ sum(X4,X5,X1)
| product(X1,X2,X3) ),
c_0_57 ).
cnf(c_0_62,hypothesis,
( ~ sum(X1,additive_identity,additive_identity)
| sum(b,X1,b) ),
inference(spm,[status(thm)],[c_0_39,c_0_58]) ).
cnf(c_0_63,plain,
sum(multiply(additive_identity,multiplicative_identity),additive_identity,additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_23])]) ).
cnf(c_0_64,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_65,plain,
( ~ sum(X4,X6,X1)
| ~ sum(X5,multiply(X6,X2),X3)
| ~ defined(X6)
| ~ defined(X2)
| ~ product(X4,X2,X5)
| product(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_61,c_0_55]) ).
cnf(c_0_66,hypothesis,
sum(b,multiply(additive_identity,multiplicative_identity),b),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_67,plain,
( ~ product(X4,X6,X3)
| ~ product(X5,X2,X6)
| ~ product(X4,X5,X1)
| product(X1,X2,X3) ),
c_0_64 ).
cnf(c_0_68,hypothesis,
( ~ sum(X2,additive_identity,X1)
| ~ product(X2,multiplicative_identity,b)
| product(X1,multiplicative_identity,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_23]),c_0_56])]) ).
cnf(c_0_69,plain,
( ~ defined(X4)
| ~ product(X3,X4,X1)
| ~ product(X3,X4,X2)
| product(X1,multiplicative_identity,X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_49]) ).
cnf(c_0_70,hypothesis,
( ~ sum(b,additive_identity,X1)
| product(X1,multiplicative_identity,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_49]),c_0_24])]) ).
cnf(c_0_71,hypothesis,
( ~ sum(b,additive_identity,X2)
| ~ product(X2,multiplicative_identity,X1)
| product(X1,multiplicative_identity,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_23])]) ).
cnf(c_0_72,plain,
( ~ defined(X1)
| sum(X1,additive_identity,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_52]) ).
cnf(c_0_73,hypothesis,
( ~ product(b,multiplicative_identity,X1)
| product(X1,multiplicative_identity,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_24])]) ).
cnf(c_0_74,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_75,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
inference(fof_simplification,[status(thm)],[not_sum_3]) ).
cnf(c_0_76,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_77,hypothesis,
product(b,multiplicative_identity,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_49]),c_0_24])]) ).
cnf(c_0_78,plain,
( ~ defined(X1)
| sum(additive_identity,X1,additive_identity)
| product(multiplicative_inverse(X1),X1,multiplicative_identity) ),
c_0_74 ).
cnf(c_0_79,hypothesis,
defined(a),
a_is_defined ).
cnf(c_0_80,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
c_0_75 ).
cnf(c_0_81,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_82,plain,
( ~ product(X5,X6,X3)
| ~ product(X4,X6,X2)
| ~ product(X1,X4,X5)
| product(X1,X2,X3) ),
c_0_76 ).
cnf(c_0_83,hypothesis,
product(multiplicative_identity,b,b),
inference(spm,[status(thm)],[c_0_43,c_0_77]) ).
cnf(c_0_84,hypothesis,
product(multiplicative_inverse(a),a,multiplicative_identity),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).
cnf(c_0_85,plain,
( ~ defined(X1)
| sum(additive_identity,X1,additive_identity)
| defined(multiplicative_inverse(X1)) ),
c_0_81 ).
cnf(c_0_86,hypothesis,
( ~ product(X1,X3,multiplicative_identity)
| ~ product(X3,b,X2)
| product(X1,X2,b) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_87,hypothesis,
product(a,multiplicative_inverse(a),multiplicative_identity),
inference(spm,[status(thm)],[c_0_43,c_0_84]) ).
cnf(c_0_88,hypothesis,
defined(multiplicative_inverse(a)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_79]),c_0_80]) ).
cnf(c_0_89,hypothesis,
( ~ product(X1,multiplicative_identity,multiplicative_identity)
| product(X1,b,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_33]),c_0_24])]) ).
cnf(c_0_90,hypothesis,
( ~ product(a,multiplicative_inverse(a),X1)
| product(X1,multiplicative_identity,multiplicative_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_87]),c_0_88])]) ).
cnf(c_0_91,plain,
( ~ defined(X2)
| ~ defined(X1)
| product(X1,X2,multiply(X2,X1)) ),
inference(spm,[status(thm)],[c_0_43,c_0_55]) ).
cnf(c_0_92,hypothesis,
( ~ product(X1,multiplicative_identity,multiplicative_identity)
| product(b,X1,b) ),
inference(spm,[status(thm)],[c_0_43,c_0_89]) ).
cnf(c_0_93,hypothesis,
product(multiply(a,multiplicative_inverse(a)),multiplicative_identity,multiplicative_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_55]),c_0_88]),c_0_79])]) ).
cnf(c_0_94,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_67,c_0_91]) ).
cnf(c_0_95,hypothesis,
product(b,multiply(a,multiplicative_inverse(a)),b),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_96,hypothesis,
( ~ product(b,multiplicative_inverse(a),X1)
| product(X1,a,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_88]),c_0_79])]) ).
cnf(c_0_97,negated_conjecture,
~ product(a,X1,b),
inference(fof_simplification,[status(thm)],[not_product_4]) ).
cnf(c_0_98,hypothesis,
product(multiply(b,multiplicative_inverse(a)),a,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_55]),c_0_88]),c_0_24])]) ).
cnf(c_0_99,negated_conjecture,
~ product(a,X1,b),
c_0_97 ).
cnf(c_0_100,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_98]),c_0_99]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD009-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n016.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 21 15:41:38 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 2.01/0.81 % Version: 3.5.1
% 2.01/0.81 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.01/0.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.01/0.81 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.01/0.81 % Starting new_bool_3 with 300s (1) cores
% 2.01/0.81 % Starting new_bool_1 with 300s (1) cores
% 2.01/0.81 % Starting sh5l with 300s (1) cores
% 2.01/0.81 % new_bool_3 with pid 2771787 completed with status 9
% 2.01/0.81 % new_bool_1 with pid 2771788 completed with status 9
% 2.01/0.81 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2771786 completed with status 0
% 2.01/0.81 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.01/0.81 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.01/0.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.01/0.81 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.01/0.81 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.01/0.81 % No SInE strategy applied
% 2.01/0.81 % Search class: FGUNF-FFMS21-SFFFFFNN
% 2.01/0.81 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 2.01/0.81 % Starting SubtermCWHack with 136s (1) cores
% 2.01/0.81 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.01/0.81 % Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 2.01/0.81 % Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2.01/0.81 % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2.01/0.81 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2771793 completed with status 0
% 2.01/0.81 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.01/0.81 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.01/0.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.01/0.81 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.01/0.81 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.01/0.81 % No SInE strategy applied
% 2.01/0.81 % Search class: FGUNF-FFMS21-SFFFFFNN
% 2.01/0.81 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 2.01/0.81 % Starting SubtermCWHack with 136s (1) cores
% 2.01/0.81 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.01/0.81 % Preprocessing time : 0.001 s
% 2.01/0.81 % Presaturation interreduction done
% 2.01/0.81
% 2.01/0.81 % Proof found!
% 2.01/0.81 % SZS status Unsatisfiable
% 2.01/0.81 % SZS output start CNFRefutation
% See solution above
% 2.01/0.81 % Parsed axioms : 30
% 2.01/0.81 % Removed by relevancy pruning/SinE : 0
% 2.01/0.81 % Initial clauses : 30
% 2.01/0.81 % Removed in clause preprocessing : 0
% 2.01/0.81 % Initial clauses in saturation : 30
% 2.01/0.81 % Processed clauses : 5045
% 2.01/0.81 % ...of these trivial : 63
% 2.01/0.81 % ...subsumed : 2551
% 2.01/0.81 % ...remaining for further processing : 2431
% 2.01/0.81 % Other redundant clauses eliminated : 0
% 2.01/0.81 % Clauses deleted for lack of memory : 0
% 2.01/0.81 % Backward-subsumed : 407
% 2.01/0.81 % Backward-rewritten : 8
% 2.01/0.81 % Generated clauses : 24373
% 2.01/0.81 % ...of the previous two non-redundant : 21334
% 2.01/0.81 % ...aggressively subsumed : 0
% 2.01/0.81 % Contextual simplify-reflections : 31
% 2.01/0.81 % Paramodulations : 24361
% 2.01/0.81 % Factorizations : 0
% 2.01/0.81 % NegExts : 0
% 2.01/0.81 % Equation resolutions : 0
% 2.01/0.81 % Disequality decompositions : 0
% 2.01/0.81 % Total rewrite steps : 9453
% 2.01/0.81 % ...of those cached : 9280
% 2.01/0.81 % Propositional unsat checks : 0
% 2.01/0.81 % Propositional check models : 0
% 2.01/0.81 % Propositional check unsatisfiable : 0
% 2.01/0.81 % Propositional clauses : 0
% 2.01/0.81 % Propositional clauses after purity: 0
% 2.01/0.81 % Propositional unsat core size : 0
% 2.01/0.81 % Propositional preprocessing time : 0.000
% 2.01/0.81 % Propositional encoding time : 0.000
% 2.01/0.81 % Propositional solver time : 0.000
% 2.01/0.81 % Success case prop preproc time : 0.000
% 2.01/0.81 % Success case prop encoding time : 0.000
% 2.01/0.81 % Success case prop solver time : 0.000
% 2.01/0.81 % Current number of processed clauses : 1974
% 2.01/0.81 % Positive orientable unit clauses : 219
% 2.01/0.81 % Positive unorientable unit clauses: 0
% 2.01/0.81 % Negative unit clauses : 31
% 2.01/0.81 % Non-unit-clauses : 1724
% 2.01/0.81 % Current number of unprocessed clauses: 16121
% 2.01/0.81 % ...number of literals in the above : 61529
% 2.01/0.81 % Current number of archived formulas : 0
% 2.01/0.81 % Current number of archived clauses : 457
% 2.01/0.81 % Clause-clause subsumption calls (NU) : 347951
% 2.01/0.81 % Rec. Clause-clause subsumption calls : 259135
% 2.01/0.81 % Non-unit clause-clause subsumptions : 2557
% 2.01/0.81 % Unit Clause-clause subsumption calls : 24830
% 2.01/0.81 % Rewrite failures with RHS unbound : 0
% 2.01/0.81 % BW rewrite match attempts : 100
% 2.01/0.81 % BW rewrite match successes : 5
% 2.01/0.81 % Condensation attempts : 0
% 2.01/0.81 % Condensation successes : 0
% 2.01/0.81 % Termbank termtop insertions : 354886
% 2.01/0.81 % Search garbage collected termcells : 118
% 2.01/0.81
% 2.01/0.81 % -------------------------------------------------
% 2.01/0.81 % User time : 0.344 s
% 2.01/0.81 % System time : 0.011 s
% 2.01/0.81 % Total time : 0.354 s
% 2.01/0.81 % Maximum resident set size: 3660 pages
% 2.01/0.81
% 2.01/0.81 % -------------------------------------------------
% 2.01/0.81 % User time : 1.762 s
% 2.01/0.81 % System time : 0.112 s
% 2.01/0.81 % Total time : 1.874 s
% 2.01/0.81 % Maximum resident set size: 4864 pages
% 2.01/0.81 % E exiting
%------------------------------------------------------------------------------