%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : FLD040-5 : 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 : 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 12:22:48 PM UTC 2026
% Result : Unsatisfiable 2.07s 0.72s
% Output : CNFRefutation 2.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 21
% Syntax : Number of clauses : 97 ( 27 unt; 10 nHn; 97 RR)
% Number of literals : 244 ( 0 equ; 143 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 200 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(commutativity_addition,axiom,
( ~ sum(X2,X1,X3)
| sum(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
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/sandbox/benchmark/Axioms/FLD002-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(sum_3,negated_conjecture,
sum(additive_identity,multiplicative_inverse(a),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_3) ).
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_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_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_sum_2,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_2) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
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(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(commutativity_multiplication,axiom,
( ~ product(X2,X1,X3)
| product(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
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(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(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
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(well_definedness_of_multiplicative_identity,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplicative_identity) ).
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(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(associativity_addition_2,axiom,
( ~ sum(X4,X6,X3)
| ~ sum(X5,X2,X6)
| ~ sum(X4,X5,X1)
| sum(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_addition_2) ).
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(different_identities,axiom,
~ sum(additive_identity,additive_identity,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',different_identities) ).
cnf(c_0_21,plain,
( ~ sum(X2,X1,X3)
| sum(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[commutativity_addition]) ).
cnf(c_0_22,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_23,plain,
( ~ sum(X2,X1,X3)
| sum(X1,X2,X3) ),
c_0_21 ).
cnf(c_0_24,negated_conjecture,
sum(additive_identity,multiplicative_inverse(a),additive_identity),
sum_3 ).
cnf(c_0_25,plain,
( ~ defined(X1)
| sum(additive_identity,X1,X1) ),
inference(fof_simplification,[status(thm)],[existence_of_identity_addition]) ).
cnf(c_0_26,plain,
( ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ less_or_equal(X3,X4)
| less_or_equal(X1,X2) ),
c_0_22 ).
cnf(c_0_27,negated_conjecture,
sum(multiplicative_inverse(a),additive_identity,additive_identity),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,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_29,plain,
( ~ defined(X1)
| sum(additive_identity,X1,X1) ),
c_0_25 ).
cnf(c_0_30,negated_conjecture,
( ~ sum(X2,additive_identity,X1)
| ~ less_or_equal(X2,multiplicative_inverse(a))
| less_or_equal(X1,additive_identity) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,plain,
( ~ defined(X2)
| ~ defined(X1)
| less_or_equal(X2,X1)
| less_or_equal(X1,X2) ),
c_0_28 ).
cnf(c_0_32,plain,
( ~ defined(X1)
| sum(X1,additive_identity,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( ~ less_or_equal(multiplicative_inverse(a),multiplicative_inverse(a))
| less_or_equal(additive_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_30,c_0_27]) ).
cnf(c_0_34,plain,
( ~ defined(X1)
| less_or_equal(X1,X1) ),
inference(ef,[status(thm)],[c_0_31]) ).
cnf(c_0_35,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_36,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
inference(fof_simplification,[status(thm)],[not_sum_2]) ).
cnf(c_0_37,negated_conjecture,
( ~ defined(X1)
| ~ less_or_equal(X1,multiplicative_inverse(a))
| less_or_equal(X1,additive_identity) ),
inference(spm,[status(thm)],[c_0_30,c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( ~ defined(multiplicative_inverse(a))
| less_or_equal(additive_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
( ~ defined(X1)
| sum(additive_identity,X1,additive_identity)
| defined(multiplicative_inverse(X1)) ),
c_0_35 ).
cnf(c_0_40,hypothesis,
defined(a),
a_is_defined ).
cnf(c_0_41,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
c_0_36 ).
cnf(c_0_42,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_43,negated_conjecture,
( ~ defined(multiplicative_inverse(a))
| less_or_equal(multiplicative_inverse(a),additive_identity) ),
inference(spm,[status(thm)],[c_0_37,c_0_34]) ).
cnf(c_0_44,plain,
( ~ sum(X3,X2,X1)
| ~ defined(X2)
| ~ less_or_equal(X3,additive_identity)
| less_or_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_29]) ).
cnf(c_0_45,negated_conjecture,
less_or_equal(additive_identity,additive_identity),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]),c_0_41]) ).
cnf(c_0_46,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_47,plain,
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X1,X2)
| sum(additive_identity,X1,X2) ),
c_0_42 ).
cnf(c_0_48,negated_conjecture,
less_or_equal(multiplicative_inverse(a),additive_identity),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_39]),c_0_40])]),c_0_41]) ).
cnf(c_0_49,negated_conjecture,
( ~ defined(multiplicative_inverse(a))
| less_or_equal(additive_identity,multiplicative_inverse(a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_24]),c_0_45])]) ).
cnf(c_0_50,plain,
( ~ sum(X6,X7,X3)
| ~ product(X5,X2,X7)
| ~ product(X4,X2,X6)
| ~ sum(X4,X5,X1)
| product(X1,X2,X3) ),
c_0_46 ).
cnf(c_0_51,negated_conjecture,
sum(additive_identity,additive_identity,additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_45]),c_0_45])]) ).
cnf(c_0_52,negated_conjecture,
( ~ less_or_equal(additive_identity,multiplicative_inverse(a))
| sum(additive_identity,additive_identity,multiplicative_inverse(a)) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,negated_conjecture,
less_or_equal(additive_identity,multiplicative_inverse(a)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_39]),c_0_40])]),c_0_41]) ).
cnf(c_0_54,plain,
( ~ product(X2,X1,X3)
| product(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[commutativity_multiplication]) ).
cnf(c_0_55,plain,
( ~ defined(X1)
| product(multiplicative_identity,X1,X1) ),
inference(fof_simplification,[status(thm)],[existence_of_identity_multiplication]) ).
cnf(c_0_56,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_57,negated_conjecture,
( ~ sum(X4,X3,X1)
| ~ product(X4,X2,additive_identity)
| ~ product(X3,X2,additive_identity)
| product(X1,X2,additive_identity) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,negated_conjecture,
sum(additive_identity,additive_identity,multiplicative_inverse(a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]) ).
cnf(c_0_59,plain,
( ~ product(X2,X1,X3)
| product(X1,X2,X3) ),
c_0_54 ).
cnf(c_0_60,plain,
( ~ defined(X1)
| product(multiplicative_identity,X1,X1) ),
c_0_55 ).
cnf(c_0_61,plain,
( ~ product(X5,X6,X3)
| ~ product(X4,X6,X2)
| ~ product(X1,X4,X5)
| product(X1,X2,X3) ),
c_0_56 ).
cnf(c_0_62,negated_conjecture,
( ~ product(additive_identity,X1,additive_identity)
| product(multiplicative_inverse(a),X1,additive_identity) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_63,plain,
( ~ defined(X1)
| product(X1,multiplicative_identity,X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,axiom,
defined(additive_identity),
well_definedness_of_additive_identity ).
cnf(c_0_65,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_66,plain,
( ~ defined(X3)
| ~ product(X4,X3,X2)
| ~ product(X1,X4,multiplicative_identity)
| product(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_61,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
product(multiplicative_inverse(a),multiplicative_identity,additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]) ).
cnf(c_0_68,axiom,
defined(multiplicative_identity),
well_definedness_of_multiplicative_identity ).
cnf(c_0_69,plain,
( ~ defined(X1)
| sum(additive_identity,X1,additive_identity)
| product(multiplicative_inverse(X1),X1,multiplicative_identity) ),
c_0_65 ).
cnf(c_0_70,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_71,negated_conjecture,
( ~ product(X1,multiplicative_inverse(a),multiplicative_identity)
| product(X1,additive_identity,multiplicative_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).
cnf(c_0_72,plain,
( ~ defined(X1)
| sum(additive_identity,X1,additive_identity)
| product(X1,multiplicative_inverse(X1),multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_59,c_0_69]) ).
cnf(c_0_73,plain,
( ~ product(X5,X7,X2)
| ~ product(X4,X7,X1)
| ~ product(X6,X7,X3)
| ~ sum(X4,X5,X6)
| sum(X1,X2,X3) ),
c_0_70 ).
cnf(c_0_74,negated_conjecture,
product(a,additive_identity,multiplicative_identity),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_40])]),c_0_41]) ).
cnf(c_0_75,plain,
( ~ defined(X5)
| ~ product(X5,X4,X2)
| ~ product(X5,X4,X3)
| ~ product(additive_identity,X4,X1)
| sum(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_73,c_0_29]) ).
cnf(c_0_76,negated_conjecture,
product(additive_identity,a,multiplicative_identity),
inference(spm,[status(thm)],[c_0_59,c_0_74]) ).
cnf(c_0_77,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_78,negated_conjecture,
( ~ product(additive_identity,a,X2)
| ~ product(additive_identity,a,X1)
| sum(X1,X2,multiplicative_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_64])]) ).
cnf(c_0_79,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_80,plain,
( ~ sum(X5,X6,X3)
| ~ sum(X4,X6,X2)
| ~ sum(X1,X4,X5)
| sum(X1,X2,X3) ),
c_0_77 ).
cnf(c_0_81,negated_conjecture,
( ~ product(additive_identity,a,X1)
| sum(multiplicative_identity,X1,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_78,c_0_76]) ).
cnf(c_0_82,plain,
( ~ sum(X4,X6,X3)
| ~ sum(X5,X2,X6)
| ~ sum(X4,X5,X1)
| sum(X1,X2,X3) ),
c_0_79 ).
cnf(c_0_83,plain,
( ~ defined(X1)
| sum(additive_inverse(X1),X1,additive_identity) ),
inference(fof_simplification,[status(thm)],[existence_of_inverse_addition]) ).
cnf(c_0_84,plain,
( ~ sum(X4,X3,X2)
| ~ sum(X1,X4,additive_identity)
| ~ defined(X3)
| sum(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_80,c_0_29]) ).
cnf(c_0_85,negated_conjecture,
sum(multiplicative_identity,multiplicative_identity,multiplicative_identity),
inference(spm,[status(thm)],[c_0_81,c_0_76]) ).
cnf(c_0_86,plain,
( ~ sum(X4,X3,X1)
| ~ sum(X4,X3,X2)
| ~ defined(X3)
| sum(X1,additive_identity,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_32]) ).
cnf(c_0_87,plain,
( ~ defined(X1)
| sum(additive_inverse(X1),X1,additive_identity) ),
c_0_83 ).
cnf(c_0_88,negated_conjecture,
( ~ sum(X1,multiplicative_identity,additive_identity)
| sum(X1,multiplicative_identity,multiplicative_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_68])]) ).
cnf(c_0_89,negated_conjecture,
( ~ sum(X3,additive_identity,X1)
| ~ sum(X3,additive_identity,X2)
| sum(X1,additive_identity,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_51]) ).
cnf(c_0_90,plain,
( ~ sum(additive_inverse(X2),X2,X1)
| ~ defined(X2)
| sum(X1,additive_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_91,negated_conjecture,
sum(additive_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_87]),c_0_68])]) ).
cnf(c_0_92,plain,
~ sum(additive_identity,additive_identity,multiplicative_identity),
inference(fof_simplification,[status(thm)],[different_identities]) ).
cnf(c_0_93,negated_conjecture,
( ~ sum(X2,additive_identity,X1)
| ~ defined(X2)
| sum(X1,additive_identity,X2) ),
inference(spm,[status(thm)],[c_0_89,c_0_32]) ).
cnf(c_0_94,negated_conjecture,
sum(multiplicative_identity,additive_identity,additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_68])]) ).
cnf(c_0_95,plain,
~ sum(additive_identity,additive_identity,multiplicative_identity),
c_0_92 ).
cnf(c_0_96,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_68])]),c_0_95]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD040-5 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 15:42:52 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 2.07/0.72 % Version: 3.5.1
% 2.07/0.72 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.07/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.07/0.72 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.07/0.72 % Starting new_bool_3 with 300s (1) cores
% 2.07/0.72 % Starting new_bool_1 with 300s (1) cores
% 2.07/0.72 % Starting sh5l with 300s (1) cores
% 2.07/0.72 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1814883 completed with status 0
% 2.07/0.72 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.07/0.72 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.07/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.07/0.72 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.07/0.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.07/0.72 % No SInE strategy applied
% 2.07/0.72 % Search class: FGUNF-FFMS21-SFFFFFNN
% 2.07/0.72 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 2.07/0.72 % Starting SubtermCWHack with 136s (1) cores
% 2.07/0.72 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.07/0.72 % Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 2.07/0.72 % Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2.07/0.72 % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2.07/0.72 % G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with pid 1814890 completed with status 0
% 2.07/0.72 % Result found by G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c
% 2.07/0.72 % Preprocessing class: FSMSSMSSSSSNFFN.
% 2.07/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.07/0.72 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.07/0.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.07/0.72 % No SInE strategy applied
% 2.07/0.72 % Search class: FGUNF-FFMS21-SFFFFFNN
% 2.07/0.72 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 2.07/0.72 % Starting SubtermCWHack with 136s (1) cores
% 2.07/0.72 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.07/0.72 % Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 2.07/0.72 % Preprocessing time : 0.001 s
% 2.07/0.72 % Presaturation interreduction done
% 2.07/0.72
% 2.07/0.72 % Proof found!
% 2.07/0.72 % SZS status Unsatisfiable
% 2.07/0.72 % SZS output start CNFRefutation
% See solution above
% 2.07/0.72 % Parsed axioms : 29
% 2.07/0.72 % Removed by relevancy pruning/SinE : 0
% 2.07/0.72 % Initial clauses : 29
% 2.07/0.72 % Removed in clause preprocessing : 0
% 2.07/0.72 % Initial clauses in saturation : 29
% 2.07/0.72 % Processed clauses : 2477
% 2.07/0.72 % ...of these trivial : 330
% 2.07/0.72 % ...subsumed : 737
% 2.07/0.72 % ...remaining for further processing : 1410
% 2.07/0.72 % Other redundant clauses eliminated : 0
% 2.07/0.72 % Clauses deleted for lack of memory : 0
% 2.07/0.72 % Backward-subsumed : 11
% 2.07/0.72 % Backward-rewritten : 62
% 2.07/0.72 % Generated clauses : 25041
% 2.07/0.72 % ...of the previous two non-redundant : 18049
% 2.07/0.72 % ...aggressively subsumed : 0
% 2.07/0.72 % Contextual simplify-reflections : 7
% 2.07/0.72 % Paramodulations : 25031
% 2.07/0.72 % Factorizations : 10
% 2.07/0.72 % NegExts : 0
% 2.07/0.72 % Equation resolutions : 0
% 2.07/0.72 % Disequality decompositions : 0
% 2.07/0.72 % Total rewrite steps : 13660
% 2.07/0.72 % ...of those cached : 13319
% 2.07/0.72 % Propositional unsat checks : 0
% 2.07/0.72 % Propositional check models : 0
% 2.07/0.72 % Propositional check unsatisfiable : 0
% 2.07/0.72 % Propositional clauses : 0
% 2.07/0.72 % Propositional clauses after purity: 0
% 2.07/0.72 % Propositional unsat core size : 0
% 2.07/0.72 % Propositional preprocessing time : 0.000
% 2.07/0.72 % Propositional encoding time : 0.000
% 2.07/0.72 % Propositional solver time : 0.000
% 2.07/0.72 % Success case prop preproc time : 0.000
% 2.07/0.72 % Success case prop encoding time : 0.000
% 2.07/0.72 % Success case prop solver time : 0.000
% 2.07/0.72 % Current number of processed clauses : 1308
% 2.07/0.72 % Positive orientable unit clauses : 372
% 2.07/0.72 % Positive unorientable unit clauses: 0
% 2.07/0.72 % Negative unit clauses : 2
% 2.07/0.72 % Non-unit-clauses : 934
% 2.07/0.72 % Current number of unprocessed clauses: 15570
% 2.07/0.72 % ...number of literals in the above : 47213
% 2.07/0.72 % Current number of archived formulas : 0
% 2.07/0.72 % Current number of archived clauses : 102
% 2.07/0.72 % Clause-clause subsumption calls (NU) : 48811
% 2.07/0.72 % Rec. Clause-clause subsumption calls : 36359
% 2.07/0.72 % Non-unit clause-clause subsumptions : 755
% 2.07/0.72 % Unit Clause-clause subsumption calls : 758
% 2.07/0.72 % Rewrite failures with RHS unbound : 0
% 2.07/0.72 % BW rewrite match attempts : 514
% 2.07/0.72 % BW rewrite match successes : 55
% 2.07/0.72 % Condensation attempts : 0
% 2.07/0.72 % Condensation successes : 0
% 2.07/0.72 % Termbank termtop insertions : 387836
% 2.07/0.72 % Search garbage collected termcells : 116
% 2.07/0.72
% 2.07/0.72 % -------------------------------------------------
% 2.07/0.72 % User time : 0.259 s
% 2.07/0.72 % System time : 0.021 s
% 2.07/0.72 % Total time : 0.280 s
% 2.07/0.72 % Maximum resident set size: 3660 pages
% 2.07/0.72
% 2.07/0.72 % -------------------------------------------------
% 2.07/0.72 % User time : 1.219 s
% 2.07/0.72 % System time : 0.082 s
% 2.07/0.72 % Total time : 1.301 s
% 2.07/0.72 % Maximum resident set size: 4864 pages
% 2.07/0.72 % E exiting
%------------------------------------------------------------------------------