%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : FLD043-5 : 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 : n006.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 12:23:17 PM UTC 2026
% Result : Unsatisfiable 20.10s 3.81s
% Output : CNFRefutation 20.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 25
% Syntax : Number of clauses : 181 ( 38 unt; 34 nHn; 181 RR)
% Number of literals : 469 ( 0 equ; 266 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 330 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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(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(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(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_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(commutativity_multiplication,axiom,
( ~ product(X2,X1,X3)
| product(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_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(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_identity) ).
cnf(different_identities,axiom,
~ sum(additive_identity,additive_identity,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',different_identities) ).
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(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(commutativity_addition,axiom,
( ~ sum(X2,X1,X3)
| sum(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_addition) ).
cnf(distributivity_2,axiom,
( ~ sum(X6,X7,X3)
| ~ product(X5,X2,X7)
| ~ product(X4,X2,X6)
| ~ sum(X4,X5,X1)
| product(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',distributivity_2) ).
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_multiplication,axiom,
( ~ defined(X2)
| ~ defined(X1)
| defined(multiply(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_multiplication) ).
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(well_definedness_of_additive_inverse,axiom,
( ~ defined(X1)
| defined(additive_inverse(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',well_definedness_of_additive_inverse) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
cnf(totality_of_addition,axiom,
( ~ defined(X2)
| ~ defined(X1)
| sum(X1,X2,add(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',totality_of_addition) ).
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(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(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(not_product_2,negated_conjecture,
~ product(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_2) ).
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(c_0_25,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_26,plain,
( ~ defined(X1)
| sum(additive_identity,X1,X1) ),
inference(fof_simplification,[status(thm)],[existence_of_identity_addition]) ).
cnf(c_0_27,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_28,plain,
( ~ defined(X1)
| product(multiplicative_identity,X1,X1) ),
inference(fof_simplification,[status(thm)],[existence_of_identity_multiplication]) ).
cnf(c_0_29,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_30,plain,
( ~ sum(X5,X6,X3)
| ~ sum(X4,X6,X2)
| ~ sum(X1,X4,X5)
| sum(X1,X2,X3) ),
c_0_25 ).
cnf(c_0_31,plain,
( ~ defined(X1)
| sum(additive_identity,X1,X1) ),
c_0_26 ).
cnf(c_0_32,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_33,plain,
( ~ product(X5,X6,X3)
| ~ product(X4,X6,X2)
| ~ product(X1,X4,X5)
| product(X1,X2,X3) ),
c_0_27 ).
cnf(c_0_34,plain,
( ~ defined(X1)
| product(multiplicative_identity,X1,X1) ),
c_0_28 ).
cnf(c_0_35,plain,
( ~ product(X2,X1,X3)
| product(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[commutativity_multiplication]) ).
cnf(c_0_36,plain,
( ~ defined(X1)
| sum(additive_identity,X1,additive_identity)
| product(multiplicative_inverse(X1),X1,multiplicative_identity) ),
c_0_29 ).
cnf(c_0_37,axiom,
defined(multiplicative_identity),
well_definedness_of_multiplicative_identity ).
cnf(c_0_38,plain,
( ~ sum(X4,X3,X2)
| ~ sum(X1,X4,additive_identity)
| ~ defined(X3)
| sum(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_39,axiom,
defined(additive_identity),
well_definedness_of_additive_identity ).
cnf(c_0_40,plain,
( ~ defined(X1)
| sum(additive_identity,X1,additive_identity)
| defined(multiplicative_inverse(X1)) ),
c_0_32 ).
cnf(c_0_41,plain,
~ sum(additive_identity,additive_identity,multiplicative_identity),
inference(fof_simplification,[status(thm)],[different_identities]) ).
cnf(c_0_42,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_43,plain,
( ~ defined(X3)
| ~ product(X4,X3,X2)
| ~ product(X1,X4,multiplicative_identity)
| product(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_44,plain,
( ~ product(X2,X1,X3)
| product(X1,X2,X3) ),
c_0_35 ).
cnf(c_0_45,plain,
( sum(additive_identity,multiplicative_identity,additive_identity)
| product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_46,plain,
( ~ sum(additive_identity,X2,X1)
| ~ defined(X2)
| sum(additive_identity,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_31]),c_0_39])]) ).
cnf(c_0_47,plain,
( sum(additive_identity,multiplicative_identity,additive_identity)
| defined(multiplicative_inverse(multiplicative_identity)) ),
inference(spm,[status(thm)],[c_0_40,c_0_37]) ).
cnf(c_0_48,plain,
~ sum(additive_identity,additive_identity,multiplicative_identity),
c_0_41 ).
cnf(c_0_49,plain,
( ~ product(X4,X6,X3)
| ~ product(X5,X2,X6)
| ~ product(X4,X5,X1)
| product(X1,X2,X3) ),
c_0_42 ).
cnf(c_0_50,plain,
( ~ defined(X2)
| ~ product(multiplicative_identity,X2,X1)
| product(multiplicative_identity,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_34]),c_0_37])]) ).
cnf(c_0_51,plain,
( sum(additive_identity,multiplicative_identity,additive_identity)
| product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_52,plain,
defined(multiplicative_inverse(multiplicative_identity)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_37])]),c_0_48]) ).
cnf(c_0_53,plain,
( ~ defined(X2)
| ~ product(X4,X2,X3)
| ~ product(X4,multiplicative_identity,X1)
| product(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_49,c_0_34]) ).
cnf(c_0_54,plain,
( sum(additive_identity,multiplicative_identity,additive_identity)
| product(multiplicative_identity,multiplicative_identity,multiplicative_inverse(multiplicative_identity)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).
cnf(c_0_55,plain,
( ~ defined(X1)
| ~ product(multiplicative_identity,X1,X2)
| sum(additive_identity,multiplicative_identity,additive_identity)
| product(multiplicative_inverse(multiplicative_identity),X1,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_56,plain,
( ~ defined(X1)
| product(X1,multiplicative_identity,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_34]) ).
cnf(c_0_57,plain,
( ~ defined(X1)
| sum(additive_identity,multiplicative_identity,additive_identity)
| product(multiplicative_inverse(multiplicative_identity),X1,X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_34]) ).
cnf(c_0_58,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_59,plain,
( ~ defined(X4)
| ~ product(X3,X4,X1)
| ~ product(X3,X4,X2)
| product(X1,multiplicative_identity,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_56]) ).
cnf(c_0_60,plain,
( sum(additive_identity,multiplicative_identity,additive_identity)
| product(multiplicative_inverse(multiplicative_identity),additive_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_57,c_0_39]) ).
cnf(c_0_61,plain,
( ~ product(X5,X7,X2)
| ~ product(X4,X7,X1)
| ~ product(X6,X7,X3)
| ~ sum(X4,X5,X6)
| sum(X1,X2,X3) ),
c_0_58 ).
cnf(c_0_62,plain,
product(multiplicative_identity,multiplicative_identity,multiplicative_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_56]),c_0_37])]) ).
cnf(c_0_63,plain,
( ~ product(multiplicative_inverse(multiplicative_identity),additive_identity,X1)
| sum(additive_identity,multiplicative_identity,additive_identity)
| product(X1,multiplicative_identity,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_39])]) ).
cnf(c_0_64,plain,
( ~ sum(X2,X1,X3)
| sum(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[commutativity_addition]) ).
cnf(c_0_65,plain,
( ~ sum(X4,X3,multiplicative_identity)
| ~ product(X4,multiplicative_identity,X1)
| ~ product(X3,multiplicative_identity,X2)
| sum(X1,X2,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_66,plain,
( sum(additive_identity,multiplicative_identity,additive_identity)
| product(additive_identity,multiplicative_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_63,c_0_60]) ).
cnf(c_0_67,plain,
( ~ sum(X2,X1,X3)
| sum(X1,X2,X3) ),
c_0_64 ).
cnf(c_0_68,plain,
( ~ sum(X2,additive_identity,multiplicative_identity)
| ~ product(X2,multiplicative_identity,X1)
| sum(X1,additive_identity,multiplicative_identity)
| sum(additive_identity,multiplicative_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,plain,
( ~ defined(X1)
| sum(X1,additive_identity,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_31]) ).
cnf(c_0_70,plain,
( ~ product(multiplicative_identity,multiplicative_identity,X1)
| sum(X1,additive_identity,multiplicative_identity)
| sum(additive_identity,multiplicative_identity,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_37])]) ).
cnf(c_0_71,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_72,plain,
( sum(additive_identity,multiplicative_identity,additive_identity)
| sum(multiplicative_identity,additive_identity,multiplicative_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_56]),c_0_37])]) ).
cnf(c_0_73,plain,
( ~ sum(X6,X7,X3)
| ~ product(X5,X2,X7)
| ~ product(X4,X2,X6)
| ~ sum(X4,X5,X1)
| product(X1,X2,X3) ),
c_0_71 ).
cnf(c_0_74,plain,
sum(multiplicative_identity,additive_identity,multiplicative_identity),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_72]),c_0_37])]),c_0_48]) ).
cnf(c_0_75,plain,
( ~ sum(X5,X2,X3)
| ~ sum(X4,multiplicative_identity,X1)
| ~ defined(X2)
| ~ product(X4,X2,X5)
| product(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_73,c_0_34]) ).
cnf(c_0_76,plain,
sum(additive_identity,multiplicative_identity,multiplicative_identity),
inference(spm,[status(thm)],[c_0_67,c_0_74]) ).
cnf(c_0_77,plain,
( ~ defined(X2)
| ~ defined(X1)
| product(X1,X2,multiply(X1,X2)) ),
inference(fof_simplification,[status(thm)],[totality_of_multiplication]) ).
cnf(c_0_78,plain,
( ~ sum(X3,X1,X2)
| ~ defined(X1)
| ~ product(additive_identity,X1,X3)
| product(multiplicative_identity,X1,X2) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_79,plain,
( ~ defined(X2)
| ~ defined(X1)
| product(X1,X2,multiply(X1,X2)) ),
c_0_77 ).
cnf(c_0_80,plain,
( ~ sum(multiply(additive_identity,X1),X1,X2)
| ~ defined(X1)
| product(multiplicative_identity,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_39])]) ).
cnf(c_0_81,plain,
( ~ defined(multiply(additive_identity,additive_identity))
| product(multiplicative_identity,additive_identity,multiply(additive_identity,additive_identity)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_69]),c_0_39])]) ).
cnf(c_0_82,plain,
( ~ defined(X5)
| ~ defined(X2)
| ~ product(X4,X5,X1)
| ~ product(X4,multiply(X5,X2),X3)
| product(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_49,c_0_79]) ).
cnf(c_0_83,plain,
( ~ defined(multiply(additive_identity,additive_identity))
| product(multiplicative_identity,multiply(additive_identity,additive_identity),additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_81]),c_0_39])]) ).
cnf(c_0_84,plain,
( ~ defined(X2)
| ~ defined(X1)
| defined(multiply(X1,X2)) ),
inference(fof_simplification,[status(thm)],[well_definedness_of_multiplication]) ).
cnf(c_0_85,plain,
( ~ defined(X1)
| sum(additive_inverse(X1),X1,additive_identity) ),
inference(fof_simplification,[status(thm)],[existence_of_inverse_addition]) ).
cnf(c_0_86,plain,
( ~ defined(multiply(additive_identity,additive_identity))
| ~ product(multiplicative_identity,additive_identity,X1)
| product(X1,additive_identity,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_39])]) ).
cnf(c_0_87,plain,
( ~ defined(X2)
| ~ defined(X1)
| defined(multiply(X1,X2)) ),
c_0_84 ).
cnf(c_0_88,plain,
( ~ defined(X1)
| sum(additive_inverse(X1),X1,additive_identity) ),
c_0_85 ).
cnf(c_0_89,plain,
( ~ product(multiplicative_identity,additive_identity,X1)
| product(X1,additive_identity,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_39])]) ).
cnf(c_0_90,plain,
( ~ defined(X1)
| sum(X1,additive_inverse(X1),additive_identity) ),
inference(spm,[status(thm)],[c_0_67,c_0_88]) ).
cnf(c_0_91,plain,
product(additive_identity,additive_identity,additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_34]),c_0_39])]) ).
cnf(c_0_92,plain,
( ~ sum(X4,X3,X2)
| ~ sum(X1,X4,additive_inverse(X3))
| ~ defined(X3)
| sum(X1,X2,additive_identity) ),
inference(spm,[status(thm)],[c_0_30,c_0_88]) ).
cnf(c_0_93,plain,
( ~ defined(additive_inverse(additive_identity))
| sum(additive_identity,additive_identity,additive_inverse(additive_identity)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_90]),c_0_39])]) ).
cnf(c_0_94,plain,
( ~ defined(X1)
| defined(additive_inverse(X1)) ),
inference(fof_simplification,[status(thm)],[well_definedness_of_additive_inverse]) ).
cnf(c_0_95,hypothesis,
defined(a),
a_is_defined ).
cnf(c_0_96,plain,
( ~ product(additive_identity,additive_identity,X1)
| product(X1,multiplicative_identity,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_91]),c_0_39])]) ).
cnf(c_0_97,plain,
( ~ sum(additive_identity,additive_identity,X1)
| ~ defined(additive_inverse(additive_identity))
| sum(additive_identity,X1,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_39])]) ).
cnf(c_0_98,plain,
( ~ defined(X1)
| defined(additive_inverse(X1)) ),
c_0_94 ).
cnf(c_0_99,plain,
( ~ defined(X2)
| ~ defined(X1)
| sum(X1,X2,add(X1,X2)) ),
inference(fof_simplification,[status(thm)],[totality_of_addition]) ).
cnf(c_0_100,hypothesis,
( sum(additive_identity,multiplicative_identity,additive_identity)
| product(multiplicative_inverse(multiplicative_identity),a,a) ),
inference(spm,[status(thm)],[c_0_57,c_0_95]) ).
cnf(c_0_101,plain,
product(additive_identity,multiplicative_identity,additive_identity),
inference(spm,[status(thm)],[c_0_96,c_0_91]) ).
cnf(c_0_102,plain,
( ~ sum(additive_identity,additive_identity,X1)
| sum(additive_identity,X1,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_39])]) ).
cnf(c_0_103,plain,
( ~ defined(X2)
| ~ defined(X1)
| sum(X1,X2,add(X1,X2)) ),
c_0_99 ).
cnf(c_0_104,hypothesis,
( ~ product(multiplicative_inverse(multiplicative_identity),a,X1)
| sum(additive_identity,multiplicative_identity,additive_identity)
| product(X1,multiplicative_identity,a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_100]),c_0_95])]) ).
cnf(c_0_105,plain,
product(multiplicative_identity,additive_identity,additive_identity),
inference(spm,[status(thm)],[c_0_44,c_0_101]) ).
cnf(c_0_106,plain,
sum(additive_identity,add(additive_identity,additive_identity),additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_39])]) ).
cnf(c_0_107,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_61,c_0_34]) ).
cnf(c_0_108,hypothesis,
( sum(additive_identity,multiplicative_identity,additive_identity)
| product(a,multiplicative_identity,a) ),
inference(spm,[status(thm)],[c_0_104,c_0_100]) ).
cnf(c_0_109,plain,
( ~ product(multiplicative_identity,additive_identity,X1)
| product(X1,multiplicative_identity,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_105]),c_0_39])]) ).
cnf(c_0_110,plain,
( ~ sum(additive_identity,additive_identity,X1)
| product(multiplicative_identity,additive_identity,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_91]),c_0_39])]) ).
cnf(c_0_111,plain,
( ~ defined(X1)
| sum(additive_identity,add(additive_identity,X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_103]),c_0_39])]) ).
cnf(c_0_112,plain,
( ~ sum(X1,X5,X3)
| ~ sum(X5,X4,X2)
| ~ defined(X3)
| ~ defined(X4)
| sum(X1,X2,add(X3,X4)) ),
inference(spm,[status(thm)],[c_0_30,c_0_103]) ).
cnf(c_0_113,plain,
sum(add(additive_identity,additive_identity),additive_identity,additive_identity),
inference(spm,[status(thm)],[c_0_67,c_0_106]) ).
cnf(c_0_114,plain,
( ~ defined(X2)
| ~ defined(X1)
| sum(X1,X2,add(X2,X1)) ),
inference(spm,[status(thm)],[c_0_67,c_0_103]) ).
cnf(c_0_115,plain,
( ~ defined(X3)
| ~ product(additive_identity,X3,X1)
| ~ product(multiplicative_identity,X3,X2)
| sum(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_107,c_0_76]) ).
cnf(c_0_116,hypothesis,
( sum(additive_identity,multiplicative_identity,additive_identity)
| product(multiplicative_identity,a,a) ),
inference(spm,[status(thm)],[c_0_44,c_0_108]) ).
cnf(c_0_117,plain,
( ~ sum(X2,additive_identity,multiplicative_identity)
| ~ product(X2,multiplicative_identity,X1)
| sum(X1,additive_identity,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_65,c_0_101]) ).
cnf(c_0_118,plain,
( ~ sum(additive_identity,additive_identity,X1)
| product(X1,multiplicative_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_119,plain,
( ~ defined(X1)
| sum(add(additive_identity,X1),additive_identity,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_111]) ).
cnf(c_0_120,plain,
( ~ sum(X1,add(additive_identity,additive_identity),X2)
| ~ defined(X2)
| sum(X1,additive_identity,add(X2,additive_identity)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_39])]) ).
cnf(c_0_121,plain,
( ~ defined(X1)
| sum(additive_identity,add(X1,additive_identity),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_114]),c_0_39])]) ).
cnf(c_0_122,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_123,hypothesis,
( ~ product(additive_identity,a,X1)
| sum(X1,a,a)
| sum(additive_identity,multiplicative_identity,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_95])]) ).
cnf(c_0_124,plain,
( ~ sum(additive_identity,additive_identity,X1)
| ~ sum(X1,additive_identity,multiplicative_identity) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_48]) ).
cnf(c_0_125,plain,
( ~ sum(additive_identity,X2,X1)
| ~ defined(X2)
| sum(add(additive_identity,additive_identity),X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_119]),c_0_39])]) ).
cnf(c_0_126,plain,
sum(additive_identity,additive_identity,add(additive_identity,additive_identity)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_39])]) ).
cnf(c_0_127,plain,
( ~ sum(X4,X6,X3)
| ~ sum(X5,X2,X6)
| ~ sum(X4,X5,X1)
| sum(X1,X2,X3) ),
c_0_122 ).
cnf(c_0_128,hypothesis,
( sum(additive_identity,multiplicative_identity,additive_identity)
| sum(multiply(additive_identity,a),a,a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_79]),c_0_95]),c_0_39])]) ).
cnf(c_0_129,plain,
~ sum(additive_identity,multiplicative_identity,additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]),c_0_37])]) ).
cnf(c_0_130,plain,
( ~ sum(X4,X3,X1)
| ~ sum(X4,X3,X2)
| ~ defined(X3)
| sum(X1,additive_identity,X2) ),
inference(spm,[status(thm)],[c_0_127,c_0_69]) ).
cnf(c_0_131,hypothesis,
sum(multiply(additive_identity,a),a,a),
inference(sr,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_132,hypothesis,
( ~ sum(multiply(additive_identity,a),a,X1)
| sum(X1,additive_identity,a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_95])]) ).
cnf(c_0_133,hypothesis,
( sum(additive_identity,a,additive_identity)
| product(multiplicative_inverse(a),a,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_36,c_0_95]) ).
cnf(c_0_134,plain,
product(multiply(multiplicative_identity,additive_identity),additive_identity,additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_79]),c_0_39]),c_0_37])]) ).
cnf(c_0_135,plain,
( ~ sum(X3,X5,X1)
| ~ sum(X4,X5,X2)
| ~ defined(X5)
| ~ product(X3,multiplicative_identity,X4)
| product(X1,multiplicative_identity,X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_56]) ).
cnf(c_0_136,hypothesis,
sum(a,additive_identity,a),
inference(spm,[status(thm)],[c_0_132,c_0_131]) ).
cnf(c_0_137,hypothesis,
( sum(additive_identity,a,additive_identity)
| product(a,multiplicative_inverse(a),multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_44,c_0_133]) ).
cnf(c_0_138,plain,
product(additive_identity,multiply(multiplicative_identity,additive_identity),additive_identity),
inference(spm,[status(thm)],[c_0_44,c_0_134]) ).
cnf(c_0_139,plain,
( ~ sum(X4,X3,X1)
| ~ sum(X4,X3,X2)
| ~ defined(X4)
| ~ defined(X3)
| product(X1,multiplicative_identity,X2) ),
inference(spm,[status(thm)],[c_0_135,c_0_56]) ).
cnf(c_0_140,hypothesis,
sum(additive_identity,a,a),
inference(spm,[status(thm)],[c_0_67,c_0_136]) ).
cnf(c_0_141,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_142,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_143,hypothesis,
( ~ product(X3,a,X1)
| ~ product(X3,multiplicative_identity,X2)
| sum(additive_identity,a,additive_identity)
| product(X1,multiplicative_inverse(a),X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_137]) ).
cnf(c_0_144,plain,
( ~ product(additive_identity,multiplicative_identity,X1)
| product(X1,additive_identity,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_138]),c_0_39]),c_0_37])]) ).
cnf(c_0_145,hypothesis,
( ~ sum(additive_identity,a,X1)
| product(X1,multiplicative_identity,a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_95]),c_0_39])]) ).
cnf(c_0_146,negated_conjecture,
~ product(additive_identity,a,additive_identity),
inference(fof_simplification,[status(thm)],[not_product_2]) ).
cnf(c_0_147,plain,
( ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ less_or_equal(X3,X4)
| less_or_equal(X1,X2) ),
c_0_141 ).
cnf(c_0_148,plain,
( ~ defined(X2)
| ~ defined(X1)
| less_or_equal(X2,X1)
| less_or_equal(X1,X2) ),
c_0_142 ).
cnf(c_0_149,hypothesis,
( ~ product(additive_identity,a,X1)
| sum(additive_identity,a,additive_identity)
| product(X1,multiplicative_inverse(a),additive_identity) ),
inference(spm,[status(thm)],[c_0_143,c_0_101]) ).
cnf(c_0_150,hypothesis,
( ~ sum(additive_identity,a,additive_identity)
| product(a,additive_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_151,negated_conjecture,
~ product(additive_identity,a,additive_identity),
c_0_146 ).
cnf(c_0_152,plain,
( ~ sum(X4,X3,X1)
| ~ defined(X2)
| ~ defined(X3)
| ~ less_or_equal(X4,X2)
| less_or_equal(X1,add(X2,X3)) ),
inference(spm,[status(thm)],[c_0_147,c_0_103]) ).
cnf(c_0_153,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_69]),c_0_39])]) ).
cnf(c_0_154,plain,
( ~ defined(X1)
| less_or_equal(additive_identity,X1)
| less_or_equal(X1,additive_identity) ),
inference(spm,[status(thm)],[c_0_148,c_0_39]) ).
cnf(c_0_155,hypothesis,
( sum(additive_identity,a,additive_identity)
| product(multiply(additive_identity,a),multiplicative_inverse(a),additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_79]),c_0_95]),c_0_39])]) ).
cnf(c_0_156,hypothesis,
~ sum(additive_identity,a,additive_identity),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_150]),c_0_151]) ).
cnf(c_0_157,plain,
( ~ sum(X2,additive_identity,X1)
| ~ less_or_equal(X2,add(additive_identity,additive_identity))
| less_or_equal(X1,additive_identity) ),
inference(spm,[status(thm)],[c_0_147,c_0_113]) ).
cnf(c_0_158,plain,
( ~ defined(X1)
| ~ less_or_equal(additive_identity,X1)
| less_or_equal(additive_identity,add(X1,additive_identity)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_39])]) ).
cnf(c_0_159,plain,
less_or_equal(additive_identity,additive_identity),
inference(spm,[status(thm)],[c_0_154,c_0_39]) ).
cnf(c_0_160,plain,
( ~ sum(X1,X4,X3)
| ~ sum(X4,additive_inverse(X3),X2)
| ~ defined(X3)
| sum(X1,X2,additive_identity) ),
inference(spm,[status(thm)],[c_0_30,c_0_90]) ).
cnf(c_0_161,hypothesis,
( ~ product(X3,multiplicative_identity,X2)
| ~ product(X3,multiplicative_inverse(a),X1)
| sum(additive_identity,a,additive_identity)
| product(X1,a,X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_133]) ).
cnf(c_0_162,hypothesis,
product(multiply(additive_identity,a),multiplicative_inverse(a),additive_identity),
inference(sr,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_163,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_164,plain,
( ~ sum(additive_identity,additive_identity,X1)
| less_or_equal(X1,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159]),c_0_39])]) ).
cnf(c_0_165,plain,
( ~ sum(X1,X2,X2)
| ~ defined(X2)
| sum(X1,additive_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_160,c_0_90]) ).
cnf(c_0_166,hypothesis,
( ~ product(multiply(additive_identity,a),multiplicative_identity,X1)
| product(additive_identity,a,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_156]) ).
cnf(c_0_167,plain,
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X1,X2)
| sum(additive_identity,X1,X2) ),
c_0_163 ).
cnf(c_0_168,plain,
( ~ sum(X2,additive_identity,X1)
| ~ less_or_equal(X2,additive_identity)
| less_or_equal(X1,additive_identity) ),
inference(spm,[status(thm)],[c_0_147,c_0_153]) ).
cnf(c_0_169,plain,
less_or_equal(add(additive_identity,additive_identity),additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_103]),c_0_39])]) ).
cnf(c_0_170,hypothesis,
sum(multiply(additive_identity,a),additive_identity,additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_131]),c_0_95])]) ).
cnf(c_0_171,hypothesis,
~ sum(additive_identity,additive_identity,multiply(additive_identity,a)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_118]),c_0_151]) ).
cnf(c_0_172,plain,
( ~ less_or_equal(X1,X2)
| ~ less_or_equal(X2,X1)
| sum(X1,additive_identity,X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_167]) ).
cnf(c_0_173,plain,
( ~ sum(additive_identity,X1,additive_identity)
| ~ defined(X1)
| less_or_equal(X1,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_125]),c_0_169])]) ).
cnf(c_0_174,hypothesis,
sum(additive_identity,multiply(additive_identity,a),additive_identity),
inference(spm,[status(thm)],[c_0_67,c_0_170]) ).
cnf(c_0_175,plain,
( ~ sum(X3,X2,X1)
| ~ defined(X2)
| ~ less_or_equal(X3,additive_identity)
| less_or_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_147,c_0_31]) ).
cnf(c_0_176,hypothesis,
( ~ less_or_equal(additive_identity,multiply(additive_identity,a))
| ~ less_or_equal(multiply(additive_identity,a),additive_identity) ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_177,hypothesis,
( ~ defined(multiply(additive_identity,a))
| less_or_equal(multiply(additive_identity,a),additive_identity) ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_178,hypothesis,
( ~ defined(multiply(additive_identity,a))
| less_or_equal(additive_identity,multiply(additive_identity,a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_174]),c_0_159])]) ).
cnf(c_0_179,hypothesis,
~ defined(multiply(additive_identity,a)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]) ).
cnf(c_0_180,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_87]),c_0_95]),c_0_39])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD043-5 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n006.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 15:40:12 UTC 2026
% 0.16/0.38 % CPUTime :
% 0.16/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 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
% 20.10/3.81 % Version: 3.5.1
% 20.10/3.81 % Preprocessing class: FSMSSMSSSSSNFFN.
% 20.10/3.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.10/3.81 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 20.10/3.81 % Starting new_bool_3 with 300s (1) cores
% 20.10/3.81 % Starting new_bool_1 with 300s (1) cores
% 20.10/3.81 % Starting sh5l with 300s (1) cores
% 20.10/3.81 % new_bool_3 with pid 3181306 completed with status 9
% 20.10/3.81 % new_bool_1 with pid 3181307 completed with status 9
% 20.10/3.81 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3181305 completed with status 0
% 20.10/3.81 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 20.10/3.81 % Preprocessing class: FSMSSMSSSSSNFFN.
% 20.10/3.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.10/3.81 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 20.10/3.81 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 20.10/3.81 % No SInE strategy applied
% 20.10/3.81 % Search class: FGUNF-FFMS21-SFFFFFNN
% 20.10/3.81 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 20.10/3.81 % Starting SubtermCWHack with 136s (1) cores
% 20.10/3.81 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 20.10/3.81 % Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 20.10/3.81 % Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 20.10/3.81 % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 20.10/3.81 % G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 3181316 completed with status 0
% 20.10/3.81 % Result found by G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 20.10/3.81 % Preprocessing class: FSMSSMSSSSSNFFN.
% 20.10/3.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.10/3.81 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 20.10/3.81 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 20.10/3.81 % No SInE strategy applied
% 20.10/3.81 % Search class: FGUNF-FFMS21-SFFFFFNN
% 20.10/3.81 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 20.10/3.81 % Starting SubtermCWHack with 136s (1) cores
% 20.10/3.81 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 20.10/3.81 % Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 20.10/3.81 % Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 20.10/3.81 % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 20.10/3.81 % Preprocessing time : 0.002 s
% 20.10/3.81 % Presaturation interreduction done
% 20.10/3.81
% 20.10/3.81 % Proof found!
% 20.10/3.81 % SZS status Unsatisfiable
% 20.10/3.81 % SZS output start CNFRefutation
% See solution above
% 20.10/3.81 % Parsed axioms : 28
% 20.10/3.81 % Removed by relevancy pruning/SinE : 0
% 20.10/3.81 % Initial clauses : 28
% 20.10/3.81 % Removed in clause preprocessing : 0
% 20.10/3.81 % Initial clauses in saturation : 28
% 20.10/3.81 % Processed clauses : 12026
% 20.10/3.81 % ...of these trivial : 230
% 20.10/3.81 % ...subsumed : 7675
% 20.10/3.81 % ...remaining for further processing : 4121
% 20.10/3.81 % Other redundant clauses eliminated : 0
% 20.10/3.81 % Clauses deleted for lack of memory : 0
% 20.10/3.81 % Backward-subsumed : 539
% 20.10/3.81 % Backward-rewritten : 729
% 20.10/3.81 % Generated clauses : 84051
% 20.10/3.81 % ...of the previous two non-redundant : 76360
% 20.10/3.81 % ...aggressively subsumed : 0
% 20.10/3.81 % Contextual simplify-reflections : 59
% 20.10/3.81 % Paramodulations : 83957
% 20.10/3.81 % Factorizations : 0
% 20.10/3.81 % NegExts : 0
% 20.10/3.81 % Equation resolutions : 0
% 20.10/3.81 % Disequality decompositions : 0
% 20.10/3.81 % Total rewrite steps : 39830
% 20.10/3.81 % ...of those cached : 39517
% 20.10/3.81 % Propositional unsat checks : 0
% 20.10/3.81 % Propositional check models : 0
% 20.10/3.81 % Propositional check unsatisfiable : 0
% 20.10/3.81 % Propositional clauses : 0
% 20.10/3.81 % Propositional clauses after purity: 0
% 20.10/3.81 % Propositional unsat core size : 0
% 20.10/3.81 % Propositional preprocessing time : 0.000
% 20.10/3.81 % Propositional encoding time : 0.000
% 20.10/3.81 % Propositional solver time : 0.000
% 20.10/3.81 % Success case prop preproc time : 0.000
% 20.10/3.81 % Success case prop encoding time : 0.000
% 20.10/3.81 % Success case prop solver time : 0.000
% 20.10/3.81 % Current number of processed clauses : 2731
% 20.10/3.81 % Positive orientable unit clauses : 349
% 20.10/3.81 % Positive unorientable unit clauses: 0
% 20.10/3.81 % Negative unit clauses : 121
% 20.10/3.81 % Non-unit-clauses : 2261
% 20.10/3.81 % Current number of unprocessed clauses: 61847
% 20.10/3.81 % ...number of literals in the above : 254146
% 20.10/3.81 % Current number of archived formulas : 0
% 20.10/3.81 % Current number of archived clauses : 1390
% 20.10/3.81 % Clause-clause subsumption calls (NU) : 506440
% 20.10/3.81 % Rec. Clause-clause subsumption calls : 302355
% 20.10/3.81 % Non-unit clause-clause subsumptions : 6739
% 20.10/3.81 % Unit Clause-clause subsumption calls : 74090
% 20.10/3.81 % Rewrite failures with RHS unbound : 0
% 20.10/3.81 % BW rewrite match attempts : 729
% 20.10/3.81 % BW rewrite match successes : 70
% 20.10/3.81 % Condensation attempts : 0
% 20.10/3.81 % Condensation successes : 0
% 20.10/3.81 % Termbank termtop insertions : 1407361
% 20.10/3.81 % Search garbage collected termcells : 116
% 20.10/3.81
% 20.10/3.81 % -------------------------------------------------
% 20.10/3.81 % User time : 3.187 s
% 20.10/3.81 % System time : 0.098 s
% 20.10/3.81 % Total time : 3.284 s
% 20.10/3.81 % Maximum resident set size: 3660 pages
% 20.10/3.81
% 20.10/3.81 % -------------------------------------------------
% 20.10/3.81 % User time : 16.028 s
% 20.10/3.81 % System time : 0.545 s
% 20.10/3.81 % Total time : 16.573 s
% 20.10/3.81 % Maximum resident set size: 4864 pages
% 20.10/3.81 % E exiting
%------------------------------------------------------------------------------