%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : FLD038-1 : 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 12:22:47 PM UTC 2026
% Result : Unsatisfiable 41.56s 6.52s
% Output : CNFRefutation 41.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 25
% Syntax : Number of clauses : 185 ( 63 unt; 12 nHn; 185 RR)
% Number of literals : 410 ( 0 equ; 223 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 233 ( 0 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/sandbox2/benchmark/Axioms/FLD001-0.ax',totality_of_order_relation) ).
cnf(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
cnf(transitivity_of_equality,axiom,
( ~ equalish(X3,X2)
| ~ equalish(X1,X3)
| equalish(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
cnf(existence_of_identity_addition,axiom,
( ~ defined(X1)
| equalish(add(additive_identity,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_identity_addition) ).
cnf(compatibility_of_equality_and_order_relation,axiom,
( ~ equalish(X3,X1)
| ~ less_or_equal(X3,X2)
| less_or_equal(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_order_relation) ).
cnf(commutativity_addition,axiom,
( ~ defined(X2)
| ~ defined(X1)
| equalish(add(X1,X2),add(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',commutativity_addition) ).
cnf(symmetry_of_equality,axiom,
( ~ equalish(X2,X1)
| equalish(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',symmetry_of_equality) ).
cnf(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_identity) ).
cnf(compatibility_of_order_relation_and_addition,axiom,
( ~ less_or_equal(X1,X3)
| ~ defined(X2)
| less_or_equal(add(X1,X2),add(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_order_relation_and_addition) ).
cnf(antisymmetry_of_order_relation,axiom,
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X1,X2)
| equalish(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',antisymmetry_of_order_relation) ).
cnf(existence_of_identity_multiplication,axiom,
( ~ defined(X1)
| equalish(multiply(multiplicative_identity,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_identity_multiplication) ).
cnf(commutativity_multiplication,axiom,
( ~ defined(X2)
| ~ defined(X1)
| equalish(multiply(X1,X2),multiply(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',commutativity_multiplication) ).
cnf(well_definedness_of_multiplicative_identity,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_identity) ).
cnf(well_definedness_of_addition,axiom,
( ~ defined(X2)
| ~ defined(X1)
| defined(add(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_addition) ).
cnf(compatibility_of_equality_and_multiplication,axiom,
( ~ equalish(X1,X3)
| ~ defined(X2)
| equalish(multiply(X1,X2),multiply(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_multiplication) ).
cnf(compatibility_of_equality_and_addition,axiom,
( ~ equalish(X1,X3)
| ~ defined(X2)
| equalish(add(X1,X2),add(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',compatibility_of_equality_and_addition) ).
cnf(existence_of_inverse_multiplication,axiom,
( ~ defined(X1)
| equalish(X1,additive_identity)
| equalish(multiply(X1,multiplicative_inverse(X1)),multiplicative_identity) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_multiplication) ).
cnf(a_not_equal_to_additive_identity_3,negated_conjecture,
~ equalish(a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_additive_identity_3) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
cnf(associativity_multiplication,axiom,
( ~ defined(X3)
| ~ defined(X2)
| ~ defined(X1)
| equalish(multiply(X1,multiply(X2,X3)),multiply(multiply(X1,X2),X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',associativity_multiplication) ).
cnf(well_definedness_of_multiplication,axiom,
( ~ defined(X2)
| ~ defined(X1)
| defined(multiply(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplication) ).
cnf(well_definedness_of_multiplicative_inverse,axiom,
( ~ defined(X1)
| equalish(X1,additive_identity)
| defined(multiplicative_inverse(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_multiplicative_inverse) ).
cnf(multiplicative_identity_equals_multiply_4,negated_conjecture,
equalish(multiplicative_identity,multiply(b,multiplicative_inverse(a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_identity_equals_multiply_4) ).
cnf(transitivity_of_order_relation,axiom,
( ~ less_or_equal(X3,X2)
| ~ less_or_equal(X1,X3)
| less_or_equal(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_order_relation) ).
cnf(a_not_equal_to_b_5,negated_conjecture,
~ equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_equal_to_b_5) ).
cnf(c_0_25,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_26,plain,
( ~ defined(X2)
| ~ defined(X1)
| less_or_equal(X2,X1)
| less_or_equal(X1,X2) ),
c_0_25 ).
cnf(c_0_27,hypothesis,
defined(b),
b_is_defined ).
cnf(c_0_28,plain,
( ~ equalish(X3,X2)
| ~ equalish(X1,X3)
| equalish(X1,X2) ),
inference(fof_simplification,[status(thm)],[transitivity_of_equality]) ).
cnf(c_0_29,plain,
( ~ defined(X1)
| equalish(add(additive_identity,X1),X1) ),
inference(fof_simplification,[status(thm)],[existence_of_identity_addition]) ).
cnf(c_0_30,plain,
( ~ equalish(X3,X1)
| ~ less_or_equal(X3,X2)
| less_or_equal(X1,X2) ),
inference(fof_simplification,[status(thm)],[compatibility_of_equality_and_order_relation]) ).
cnf(c_0_31,hypothesis,
( ~ defined(X1)
| less_or_equal(b,X1)
| less_or_equal(X1,b) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
( ~ equalish(X3,X2)
| ~ equalish(X1,X3)
| equalish(X1,X2) ),
c_0_28 ).
cnf(c_0_33,plain,
( ~ defined(X1)
| equalish(add(additive_identity,X1),X1) ),
c_0_29 ).
cnf(c_0_34,plain,
( ~ defined(X2)
| ~ defined(X1)
| equalish(add(X1,X2),add(X2,X1)) ),
inference(fof_simplification,[status(thm)],[commutativity_addition]) ).
cnf(c_0_35,plain,
( ~ equalish(X3,X1)
| ~ less_or_equal(X3,X2)
| less_or_equal(X1,X2) ),
c_0_30 ).
cnf(c_0_36,hypothesis,
less_or_equal(b,b),
inference(spm,[status(thm)],[c_0_31,c_0_27]) ).
cnf(c_0_37,plain,
( ~ equalish(X2,X1)
| equalish(X1,X2) ),
inference(fof_simplification,[status(thm)],[symmetry_of_equality]) ).
cnf(c_0_38,plain,
( ~ equalish(X1,add(additive_identity,X2))
| ~ defined(X2)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,plain,
( ~ defined(X2)
| ~ defined(X1)
| equalish(add(X1,X2),add(X2,X1)) ),
c_0_34 ).
cnf(c_0_40,axiom,
defined(additive_identity),
well_definedness_of_additive_identity ).
cnf(c_0_41,hypothesis,
( ~ equalish(b,X1)
| less_or_equal(X1,b) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,plain,
( ~ equalish(X2,X1)
| equalish(X1,X2) ),
c_0_37 ).
cnf(c_0_43,plain,
( ~ defined(X1)
| equalish(add(X1,additive_identity),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).
cnf(c_0_44,hypothesis,
( ~ equalish(X2,X1)
| ~ equalish(b,X2)
| less_or_equal(X1,b) ),
inference(spm,[status(thm)],[c_0_35,c_0_41]) ).
cnf(c_0_45,plain,
( ~ defined(X1)
| equalish(X1,add(X1,additive_identity)) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,plain,
( ~ less_or_equal(X1,X3)
| ~ defined(X2)
| less_or_equal(add(X1,X2),add(X3,X2)) ),
inference(fof_simplification,[status(thm)],[compatibility_of_order_relation_and_addition]) ).
cnf(c_0_47,plain,
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X1,X2)
| equalish(X1,X2) ),
inference(fof_simplification,[status(thm)],[antisymmetry_of_order_relation]) ).
cnf(c_0_48,hypothesis,
( ~ equalish(add(b,additive_identity),X1)
| less_or_equal(X1,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_27])]) ).
cnf(c_0_49,plain,
( ~ less_or_equal(X1,X3)
| ~ defined(X2)
| less_or_equal(add(X1,X2),add(X3,X2)) ),
c_0_46 ).
cnf(c_0_50,plain,
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X1,X2)
| equalish(X1,X2) ),
c_0_47 ).
cnf(c_0_51,hypothesis,
less_or_equal(add(additive_identity,b),b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_39]),c_0_40]),c_0_27])]) ).
cnf(c_0_52,plain,
( ~ equalish(add(X4,X3),X1)
| ~ defined(X3)
| ~ less_or_equal(X4,X2)
| less_or_equal(X1,add(X2,X3)) ),
inference(spm,[status(thm)],[c_0_35,c_0_49]) ).
cnf(c_0_53,plain,
( ~ defined(X1)
| less_or_equal(additive_identity,X1)
| less_or_equal(X1,additive_identity) ),
inference(spm,[status(thm)],[c_0_26,c_0_40]) ).
cnf(c_0_54,plain,
( ~ defined(X1)
| equalish(multiply(multiplicative_identity,X1),X1) ),
inference(fof_simplification,[status(thm)],[existence_of_identity_multiplication]) ).
cnf(c_0_55,hypothesis,
( ~ less_or_equal(b,add(additive_identity,b))
| equalish(b,add(additive_identity,b)) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,plain,
( ~ defined(X1)
| ~ less_or_equal(additive_identity,X2)
| less_or_equal(X1,add(X2,X1)) ),
inference(spm,[status(thm)],[c_0_52,c_0_33]) ).
cnf(c_0_57,plain,
less_or_equal(additive_identity,additive_identity),
inference(spm,[status(thm)],[c_0_53,c_0_40]) ).
cnf(c_0_58,plain,
( ~ defined(X1)
| equalish(multiply(multiplicative_identity,X1),X1) ),
c_0_54 ).
cnf(c_0_59,plain,
( ~ defined(X2)
| ~ defined(X1)
| equalish(multiply(X1,X2),multiply(X2,X1)) ),
inference(fof_simplification,[status(thm)],[commutativity_multiplication]) ).
cnf(c_0_60,hypothesis,
equalish(b,add(additive_identity,b)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_27])]) ).
cnf(c_0_61,plain,
( ~ equalish(X1,multiply(multiplicative_identity,X2))
| ~ defined(X2)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_58]) ).
cnf(c_0_62,plain,
( ~ defined(X2)
| ~ defined(X1)
| equalish(multiply(X1,X2),multiply(X2,X1)) ),
c_0_59 ).
cnf(c_0_63,axiom,
defined(multiplicative_identity),
well_definedness_of_multiplicative_identity ).
cnf(c_0_64,plain,
( ~ defined(X2)
| ~ defined(X1)
| defined(add(X1,X2)) ),
inference(fof_simplification,[status(thm)],[well_definedness_of_addition]) ).
cnf(c_0_65,hypothesis,
equalish(add(additive_identity,b),b),
inference(spm,[status(thm)],[c_0_42,c_0_60]) ).
cnf(c_0_66,plain,
( ~ equalish(X1,add(X3,X2))
| ~ defined(X3)
| ~ defined(X2)
| equalish(X1,add(X2,X3)) ),
inference(spm,[status(thm)],[c_0_32,c_0_39]) ).
cnf(c_0_67,plain,
( ~ defined(X1)
| equalish(multiply(X1,multiplicative_identity),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]) ).
cnf(c_0_68,plain,
( ~ defined(X2)
| ~ defined(X1)
| defined(add(X1,X2)) ),
c_0_64 ).
cnf(c_0_69,plain,
( ~ equalish(X1,X3)
| ~ defined(X2)
| equalish(multiply(X1,X2),multiply(X3,X2)) ),
inference(fof_simplification,[status(thm)],[compatibility_of_equality_and_multiplication]) ).
cnf(c_0_70,hypothesis,
( ~ equalish(X1,add(additive_identity,b))
| equalish(X1,b) ),
inference(spm,[status(thm)],[c_0_32,c_0_65]) ).
cnf(c_0_71,plain,
( ~ defined(X1)
| ~ defined(X2)
| equalish(multiply(add(X1,X2),multiplicative_identity),add(X2,X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).
cnf(c_0_72,plain,
( ~ equalish(X1,X3)
| ~ defined(X2)
| equalish(add(X1,X2),add(X3,X2)) ),
inference(fof_simplification,[status(thm)],[compatibility_of_equality_and_addition]) ).
cnf(c_0_73,plain,
( ~ defined(X1)
| equalish(X1,additive_identity)
| equalish(multiply(X1,multiplicative_inverse(X1)),multiplicative_identity) ),
inference(fof_simplification,[status(thm)],[existence_of_inverse_multiplication]) ).
cnf(c_0_74,negated_conjecture,
~ equalish(a,additive_identity),
inference(fof_simplification,[status(thm)],[a_not_equal_to_additive_identity_3]) ).
cnf(c_0_75,plain,
( ~ equalish(X1,X3)
| ~ defined(X2)
| equalish(multiply(X1,X2),multiply(X3,X2)) ),
c_0_69 ).
cnf(c_0_76,hypothesis,
equalish(multiply(add(b,additive_identity),multiplicative_identity),b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_40]),c_0_27])]) ).
cnf(c_0_77,plain,
( ~ equalish(X1,X3)
| ~ defined(X2)
| equalish(add(X1,X2),add(X3,X2)) ),
c_0_72 ).
cnf(c_0_78,plain,
( ~ defined(X1)
| equalish(X1,additive_identity)
| equalish(multiply(X1,multiplicative_inverse(X1)),multiplicative_identity) ),
c_0_73 ).
cnf(c_0_79,hypothesis,
defined(a),
a_is_defined ).
cnf(c_0_80,negated_conjecture,
~ equalish(a,additive_identity),
c_0_74 ).
cnf(c_0_81,plain,
( ~ equalish(X4,X2)
| ~ equalish(X1,multiply(X4,X3))
| ~ defined(X3)
| equalish(X1,multiply(X2,X3)) ),
inference(spm,[status(thm)],[c_0_32,c_0_75]) ).
cnf(c_0_82,hypothesis,
equalish(b,multiply(add(b,additive_identity),multiplicative_identity)),
inference(spm,[status(thm)],[c_0_42,c_0_76]) ).
cnf(c_0_83,plain,
( ~ equalish(X1,X3)
| ~ defined(X3)
| ~ defined(X2)
| equalish(add(X1,X2),add(X2,X3)) ),
inference(spm,[status(thm)],[c_0_66,c_0_77]) ).
cnf(c_0_84,hypothesis,
equalish(multiply(a,multiplicative_inverse(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(X3)
| ~ defined(X2)
| ~ defined(X1)
| equalish(multiply(X1,multiply(X2,X3)),multiply(multiply(X1,X2),X3)) ),
inference(fof_simplification,[status(thm)],[associativity_multiplication]) ).
cnf(c_0_86,hypothesis,
( ~ equalish(add(b,additive_identity),X1)
| equalish(b,multiply(X1,multiplicative_identity)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_63])]) ).
cnf(c_0_87,hypothesis,
( ~ equalish(X1,b)
| equalish(add(X1,additive_identity),b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_83]),c_0_40]),c_0_27])]) ).
cnf(c_0_88,hypothesis,
equalish(b,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_36]),c_0_36])]) ).
cnf(c_0_89,hypothesis,
equalish(multiplicative_identity,multiply(a,multiplicative_inverse(a))),
inference(spm,[status(thm)],[c_0_42,c_0_84]) ).
cnf(c_0_90,hypothesis,
( ~ defined(X1)
| less_or_equal(a,X1)
| less_or_equal(X1,a) ),
inference(spm,[status(thm)],[c_0_26,c_0_79]) ).
cnf(c_0_91,plain,
( ~ defined(X3)
| ~ defined(X2)
| ~ defined(X1)
| equalish(multiply(X1,multiply(X2,X3)),multiply(multiply(X1,X2),X3)) ),
c_0_85 ).
cnf(c_0_92,hypothesis,
equalish(b,multiply(b,multiplicative_identity)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]) ).
cnf(c_0_93,hypothesis,
equalish(b,add(b,additive_identity)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_60]),c_0_27]),c_0_40])]) ).
cnf(c_0_94,hypothesis,
( ~ equalish(X1,multiplicative_identity)
| equalish(X1,multiply(a,multiplicative_inverse(a))) ),
inference(spm,[status(thm)],[c_0_32,c_0_89]) ).
cnf(c_0_95,hypothesis,
less_or_equal(a,a),
inference(spm,[status(thm)],[c_0_90,c_0_79]) ).
cnf(c_0_96,plain,
( ~ defined(X2)
| ~ defined(X1)
| defined(multiply(X1,X2)) ),
inference(fof_simplification,[status(thm)],[well_definedness_of_multiplication]) ).
cnf(c_0_97,plain,
( ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3)
| equalish(multiply(multiply(X1,X2),X3),multiply(X1,multiply(X2,X3))) ),
inference(spm,[status(thm)],[c_0_42,c_0_91]) ).
cnf(c_0_98,hypothesis,
( ~ equalish(X1,b)
| equalish(X1,multiply(b,multiplicative_identity)) ),
inference(spm,[status(thm)],[c_0_32,c_0_92]) ).
cnf(c_0_99,hypothesis,
equalish(add(b,additive_identity),b),
inference(spm,[status(thm)],[c_0_42,c_0_93]) ).
cnf(c_0_100,plain,
( ~ defined(X1)
| equalish(X1,additive_identity)
| defined(multiplicative_inverse(X1)) ),
inference(fof_simplification,[status(thm)],[well_definedness_of_multiplicative_inverse]) ).
cnf(c_0_101,hypothesis,
( ~ equalish(X1,multiplicative_identity)
| equalish(multiply(a,multiplicative_inverse(a)),X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_94]) ).
cnf(c_0_102,hypothesis,
( ~ equalish(a,X1)
| less_or_equal(X1,a) ),
inference(spm,[status(thm)],[c_0_35,c_0_95]) ).
cnf(c_0_103,plain,
( ~ equalish(X1,multiply(X3,X2))
| ~ defined(X3)
| ~ defined(X2)
| equalish(X1,multiply(X2,X3)) ),
inference(spm,[status(thm)],[c_0_32,c_0_62]) ).
cnf(c_0_104,plain,
( ~ equalish(X1,multiply(X2,multiply(X3,X4)))
| ~ defined(X2)
| ~ defined(X3)
| ~ defined(X4)
| equalish(X1,multiply(multiply(X2,X3),X4)) ),
inference(spm,[status(thm)],[c_0_32,c_0_91]) ).
cnf(c_0_105,plain,
( ~ defined(X2)
| ~ defined(X1)
| defined(multiply(X1,X2)) ),
c_0_96 ).
cnf(c_0_106,plain,
( ~ equalish(X1,multiply(multiply(X2,X3),X4))
| ~ defined(X2)
| ~ defined(X3)
| ~ defined(X4)
| equalish(X1,multiply(X2,multiply(X3,X4))) ),
inference(spm,[status(thm)],[c_0_32,c_0_97]) ).
cnf(c_0_107,hypothesis,
equalish(b,multiply(multiply(b,multiplicative_identity),multiplicative_identity)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_98]),c_0_99])]) ).
cnf(c_0_108,plain,
( ~ defined(X1)
| equalish(X1,additive_identity)
| defined(multiplicative_inverse(X1)) ),
c_0_100 ).
cnf(c_0_109,hypothesis,
( ~ equalish(X2,multiplicative_identity)
| ~ equalish(X1,multiply(a,multiplicative_inverse(a)))
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_101]) ).
cnf(c_0_110,hypothesis,
( ~ equalish(X2,X1)
| ~ equalish(a,X2)
| less_or_equal(X1,a) ),
inference(spm,[status(thm)],[c_0_35,c_0_102]) ).
cnf(c_0_111,plain,
( ~ equalish(X1,multiply(X3,multiply(X4,X2)))
| ~ defined(X3)
| ~ defined(X4)
| ~ defined(X2)
| equalish(X1,multiply(X2,multiply(X3,X4))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).
cnf(c_0_112,hypothesis,
equalish(b,multiply(b,multiply(multiplicative_identity,multiplicative_identity))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_63]),c_0_27])]) ).
cnf(c_0_113,hypothesis,
( ~ equalish(X1,multiply(a,multiplicative_inverse(a)))
| equalish(X1,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_32,c_0_84]) ).
cnf(c_0_114,hypothesis,
defined(multiplicative_inverse(a)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_79]),c_0_80]) ).
cnf(c_0_115,negated_conjecture,
equalish(multiplicative_identity,multiply(b,multiplicative_inverse(a))),
multiplicative_identity_equals_multiply_4 ).
cnf(c_0_116,hypothesis,
( ~ equalish(X1,multiplicative_identity)
| ~ equalish(X2,multiplicative_identity)
| equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_109,c_0_94]) ).
cnf(c_0_117,hypothesis,
( ~ equalish(add(a,additive_identity),X1)
| less_or_equal(X1,a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_45]),c_0_79])]) ).
cnf(c_0_118,hypothesis,
equalish(b,multiply(multiplicative_identity,multiply(b,multiplicative_identity))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_63]),c_0_27])]) ).
cnf(c_0_119,hypothesis,
equalish(multiply(multiplicative_inverse(a),a),multiplicative_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_62]),c_0_79]),c_0_114])]) ).
cnf(c_0_120,negated_conjecture,
equalish(multiply(b,multiplicative_inverse(a)),multiplicative_identity),
inference(spm,[status(thm)],[c_0_42,c_0_115]) ).
cnf(c_0_121,hypothesis,
( ~ equalish(X1,multiplicative_identity)
| equalish(X1,multiply(multiplicative_identity,multiplicative_identity)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_58]),c_0_63])]) ).
cnf(c_0_122,plain,
( ~ defined(X1)
| equalish(X1,add(additive_identity,X1)) ),
inference(spm,[status(thm)],[c_0_42,c_0_33]) ).
cnf(c_0_123,hypothesis,
less_or_equal(add(additive_identity,a),a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_39]),c_0_40]),c_0_79])]) ).
cnf(c_0_124,plain,
( ~ equalish(multiply(X5,X4),X2)
| ~ equalish(X1,multiply(X5,multiply(X4,X3)))
| ~ defined(X5)
| ~ defined(X4)
| ~ defined(X3)
| equalish(X1,multiply(X2,X3)) ),
inference(spm,[status(thm)],[c_0_81,c_0_104]) ).
cnf(c_0_125,hypothesis,
equalish(b,multiply(multiplicative_identity,multiply(multiplicative_identity,b))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_118]),c_0_63]),c_0_27])]) ).
cnf(c_0_126,hypothesis,
equalish(multiplicative_identity,multiply(multiplicative_inverse(a),a)),
inference(spm,[status(thm)],[c_0_42,c_0_119]) ).
cnf(c_0_127,negated_conjecture,
( ~ equalish(X1,multiply(b,multiplicative_inverse(a)))
| equalish(X1,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_32,c_0_120]) ).
cnf(c_0_128,hypothesis,
( ~ equalish(X1,multiplicative_identity)
| equalish(multiply(multiplicative_identity,multiplicative_identity),X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_121]) ).
cnf(c_0_129,plain,
( ~ less_or_equal(X3,X2)
| ~ less_or_equal(X1,X3)
| less_or_equal(X1,X2) ),
inference(fof_simplification,[status(thm)],[transitivity_of_order_relation]) ).
cnf(c_0_130,hypothesis,
( ~ equalish(add(additive_identity,a),X1)
| less_or_equal(X1,a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_122]),c_0_79])]) ).
cnf(c_0_131,plain,
( ~ defined(X1)
| ~ defined(X2)
| equalish(add(add(X1,X2),additive_identity),add(X2,X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_43]),c_0_68]) ).
cnf(c_0_132,hypothesis,
( ~ less_or_equal(a,add(additive_identity,a))
| equalish(a,add(additive_identity,a)) ),
inference(spm,[status(thm)],[c_0_50,c_0_123]) ).
cnf(c_0_133,hypothesis,
( ~ equalish(multiply(multiplicative_identity,multiplicative_identity),X1)
| equalish(b,multiply(X1,b)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_27]),c_0_63])]) ).
cnf(c_0_134,hypothesis,
( ~ equalish(X1,multiplicative_identity)
| equalish(X1,multiply(multiplicative_inverse(a),a)) ),
inference(spm,[status(thm)],[c_0_32,c_0_126]) ).
cnf(c_0_135,negated_conjecture,
equalish(multiply(multiplicative_identity,multiplicative_identity),multiplicative_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_120])]) ).
cnf(c_0_136,plain,
( ~ less_or_equal(X3,X2)
| ~ less_or_equal(X1,X3)
| less_or_equal(X1,X2) ),
c_0_129 ).
cnf(c_0_137,hypothesis,
less_or_equal(add(a,additive_identity),a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_39]),c_0_79]),c_0_40])]) ).
cnf(c_0_138,hypothesis,
equalish(add(add(b,additive_identity),additive_identity),b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_131]),c_0_40]),c_0_27])]) ).
cnf(c_0_139,hypothesis,
equalish(a,add(additive_identity,a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_56]),c_0_57]),c_0_79])]) ).
cnf(c_0_140,plain,
( ~ defined(X1)
| equalish(X1,multiply(multiplicative_identity,X1)) ),
inference(spm,[status(thm)],[c_0_42,c_0_58]) ).
cnf(c_0_141,hypothesis,
equalish(b,multiply(multiply(multiplicative_inverse(a),a),b)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135])]) ).
cnf(c_0_142,hypothesis,
equalish(b,multiply(multiply(a,multiplicative_inverse(a)),b)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_94]),c_0_135])]) ).
cnf(c_0_143,hypothesis,
( ~ less_or_equal(X1,add(a,additive_identity))
| less_or_equal(X1,a) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_144,hypothesis,
( ~ less_or_equal(add(b,additive_identity),X1)
| less_or_equal(b,add(X1,additive_identity)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_138]),c_0_40])]) ).
cnf(c_0_145,plain,
( ~ equalish(X4,X2)
| ~ equalish(X1,add(X4,X3))
| ~ defined(X3)
| equalish(X1,add(X2,X3)) ),
inference(spm,[status(thm)],[c_0_32,c_0_77]) ).
cnf(c_0_146,hypothesis,
equalish(a,add(a,additive_identity)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_139]),c_0_79]),c_0_40])]) ).
cnf(c_0_147,negated_conjecture,
~ equalish(a,b),
inference(fof_simplification,[status(thm)],[a_not_equal_to_b_5]) ).
cnf(c_0_148,hypothesis,
( ~ equalish(multiply(multiplicative_identity,a),X1)
| less_or_equal(X1,a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_140]),c_0_79])]) ).
cnf(c_0_149,hypothesis,
equalish(b,multiply(multiplicative_inverse(a),multiply(a,b))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_141]),c_0_27]),c_0_79]),c_0_114])]) ).
cnf(c_0_150,plain,
( ~ equalish(X3,X1)
| ~ defined(X2)
| equalish(add(X1,X2),add(X3,X2)) ),
inference(spm,[status(thm)],[c_0_42,c_0_77]) ).
cnf(c_0_151,hypothesis,
equalish(add(additive_identity,a),a),
inference(spm,[status(thm)],[c_0_42,c_0_139]) ).
cnf(c_0_152,hypothesis,
equalish(b,multiply(a,multiply(multiplicative_inverse(a),b))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_142]),c_0_27]),c_0_114]),c_0_79])]) ).
cnf(c_0_153,hypothesis,
( ~ less_or_equal(X1,a)
| less_or_equal(add(X1,additive_identity),a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_49]),c_0_40])]) ).
cnf(c_0_154,hypothesis,
less_or_equal(b,add(b,additive_identity)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_41]),c_0_93])]) ).
cnf(c_0_155,hypothesis,
( ~ equalish(X1,add(add(b,additive_identity),additive_identity))
| equalish(X1,b) ),
inference(spm,[status(thm)],[c_0_32,c_0_138]) ).
cnf(c_0_156,hypothesis,
( ~ equalish(a,X1)
| equalish(a,add(X1,additive_identity)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_40])]) ).
cnf(c_0_157,negated_conjecture,
~ equalish(a,b),
c_0_147 ).
cnf(c_0_158,hypothesis,
( ~ equalish(multiplicative_identity,X1)
| less_or_equal(multiply(X1,a),a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_75]),c_0_79])]) ).
cnf(c_0_159,plain,
( ~ equalish(X4,multiply(X1,multiply(X2,X3)))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3)
| equalish(multiply(multiply(X1,X2),X3),X4) ),
inference(spm,[status(thm)],[c_0_42,c_0_104]) ).
cnf(c_0_160,hypothesis,
equalish(b,multiply(b,multiply(multiplicative_inverse(a),a))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_149]),c_0_27]),c_0_79]),c_0_114])]) ).
cnf(c_0_161,hypothesis,
( ~ equalish(X1,b)
| less_or_equal(add(X1,additive_identity),b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_150]),c_0_40])]) ).
cnf(c_0_162,hypothesis,
( ~ equalish(X1,add(additive_identity,a))
| equalish(X1,a) ),
inference(spm,[status(thm)],[c_0_32,c_0_151]) ).
cnf(c_0_163,plain,
( ~ equalish(X3,X1)
| ~ defined(X3)
| ~ defined(X2)
| equalish(add(X1,X2),add(X2,X3)) ),
inference(spm,[status(thm)],[c_0_66,c_0_150]) ).
cnf(c_0_164,hypothesis,
equalish(b,multiply(b,multiply(a,multiplicative_inverse(a)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_152]),c_0_27]),c_0_114]),c_0_79])]) ).
cnf(c_0_165,hypothesis,
( ~ less_or_equal(X1,a)
| ~ less_or_equal(a,add(X1,additive_identity))
| equalish(a,add(X1,additive_identity)) ),
inference(spm,[status(thm)],[c_0_50,c_0_153]) ).
cnf(c_0_166,hypothesis,
( ~ less_or_equal(X1,b)
| less_or_equal(X1,add(b,additive_identity)) ),
inference(spm,[status(thm)],[c_0_136,c_0_154]) ).
cnf(c_0_167,hypothesis,
~ equalish(a,add(b,additive_identity)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]) ).
cnf(c_0_168,hypothesis,
( ~ equalish(multiplicative_identity,X2)
| ~ equalish(multiply(X2,a),X1)
| less_or_equal(X1,a) ),
inference(spm,[status(thm)],[c_0_35,c_0_158]) ).
cnf(c_0_169,hypothesis,
equalish(multiply(multiply(b,multiplicative_inverse(a)),a),b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_79]),c_0_114]),c_0_27])]) ).
cnf(c_0_170,hypothesis,
( ~ equalish(X2,b)
| ~ equalish(add(X2,additive_identity),X1)
| less_or_equal(X1,b) ),
inference(spm,[status(thm)],[c_0_35,c_0_161]) ).
cnf(c_0_171,hypothesis,
( ~ equalish(a,X1)
| equalish(add(X1,additive_identity),a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_40]),c_0_79])]) ).
cnf(c_0_172,hypothesis,
equalish(b,multiply(multiplicative_inverse(a),multiply(b,a))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_164]),c_0_114]),c_0_79]),c_0_27])]) ).
cnf(c_0_173,hypothesis,
( ~ less_or_equal(a,b)
| ~ less_or_equal(b,a) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167]) ).
cnf(c_0_174,hypothesis,
less_or_equal(b,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_115])]) ).
cnf(c_0_175,hypothesis,
( ~ equalish(a,X1)
| ~ equalish(X1,b)
| less_or_equal(a,b) ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_176,hypothesis,
equalish(multiply(multiply(multiplicative_inverse(a),b),a),b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_172]),c_0_79]),c_0_27]),c_0_114])]) ).
cnf(c_0_177,hypothesis,
~ less_or_equal(a,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_174])]) ).
cnf(c_0_178,plain,
( ~ equalish(X1,X2)
| ~ defined(X2)
| equalish(X1,multiply(multiplicative_identity,X2)) ),
inference(spm,[status(thm)],[c_0_32,c_0_140]) ).
cnf(c_0_179,negated_conjecture,
equalish(multiply(multiplicative_inverse(a),b),multiplicative_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_62]),c_0_27]),c_0_114])]) ).
cnf(c_0_180,hypothesis,
~ equalish(a,multiply(multiply(multiplicative_inverse(a),b),a)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177]) ).
cnf(c_0_181,plain,
( ~ equalish(X1,X3)
| ~ equalish(multiplicative_identity,X2)
| ~ defined(X3)
| equalish(X1,multiply(X2,X3)) ),
inference(spm,[status(thm)],[c_0_81,c_0_178]) ).
cnf(c_0_182,negated_conjecture,
equalish(multiplicative_identity,multiply(multiplicative_inverse(a),b)),
inference(spm,[status(thm)],[c_0_42,c_0_179]) ).
cnf(c_0_183,hypothesis,
equalish(a,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_95]),c_0_95])]) ).
cnf(c_0_184,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_79]),c_0_182]),c_0_183])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD038-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n015.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 15:42:36 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 41.56/6.52 % Version: 3.5.1
% 41.56/6.52 % Preprocessing class: FSMSSMSSSSSNFFN.
% 41.56/6.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 41.56/6.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 41.56/6.52 % Starting new_bool_3 with 300s (1) cores
% 41.56/6.52 % Starting new_bool_1 with 300s (1) cores
% 41.56/6.52 % Starting sh5l with 300s (1) cores
% 41.56/6.52 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1814115 completed with status 0
% 41.56/6.52 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 41.56/6.52 % Preprocessing class: FSMSSMSSSSSNFFN.
% 41.56/6.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 41.56/6.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 41.56/6.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 41.56/6.52 % No SInE strategy applied
% 41.56/6.52 % Search class: FGUNF-FFMS21-SFFFFFNN
% 41.56/6.52 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 41.56/6.52 % Starting SubtermCWHack with 136s (1) cores
% 41.56/6.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 41.56/6.52 % Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 41.56/6.52 % Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 41.56/6.52 % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 41.56/6.52 % U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 1814125 completed with status 0
% 41.56/6.52 % Result found by U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 41.56/6.52 % Preprocessing class: FSMSSMSSSSSNFFN.
% 41.56/6.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 41.56/6.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 41.56/6.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 41.56/6.52 % No SInE strategy applied
% 41.56/6.52 % Search class: FGUNF-FFMS21-SFFFFFNN
% 41.56/6.52 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 41.56/6.52 % Starting SubtermCWHack with 136s (1) cores
% 41.56/6.52 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 41.56/6.52 % Starting G-E--_208_C18_SOS_F1_SE_CS_SP_PS_S4c with 136s (1) cores
% 41.56/6.52 % Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 41.56/6.52 % Preprocessing time : 0.001 s
% 41.56/6.52 % Presaturation interreduction done
% 41.56/6.52
% 41.56/6.52 % Proof found!
% 41.56/6.52 % SZS status Unsatisfiable
% 41.56/6.52 % SZS output start CNFRefutation
% See solution above
% 41.56/6.52 % Parsed axioms : 32
% 41.56/6.52 % Removed by relevancy pruning/SinE : 0
% 41.56/6.52 % Initial clauses : 32
% 41.56/6.52 % Removed in clause preprocessing : 0
% 41.56/6.52 % Initial clauses in saturation : 32
% 41.56/6.52 % Processed clauses : 25460
% 41.56/6.52 % ...of these trivial : 1335
% 41.56/6.52 % ...subsumed : 16638
% 41.56/6.52 % ...remaining for further processing : 7487
% 41.56/6.52 % Other redundant clauses eliminated : 0
% 41.56/6.52 % Clauses deleted for lack of memory : 0
% 41.56/6.52 % Backward-subsumed : 1210
% 41.56/6.52 % Backward-rewritten : 37
% 41.56/6.52 % Generated clauses : 286122
% 41.56/6.52 % ...of the previous two non-redundant : 252119
% 41.56/6.52 % ...aggressively subsumed : 0
% 41.56/6.52 % Contextual simplify-reflections : 63
% 41.56/6.52 % Paramodulations : 286087
% 41.56/6.52 % Factorizations : 0
% 41.56/6.52 % NegExts : 0
% 41.56/6.52 % Equation resolutions : 0
% 41.56/6.52 % Disequality decompositions : 0
% 41.56/6.52 % Total rewrite steps : 96353
% 41.56/6.52 % ...of those cached : 94634
% 41.56/6.52 % Propositional unsat checks : 0
% 41.56/6.52 % Propositional check models : 0
% 41.56/6.52 % Propositional check unsatisfiable : 0
% 41.56/6.52 % Propositional clauses : 0
% 41.56/6.52 % Propositional clauses after purity: 0
% 41.56/6.52 % Propositional unsat core size : 0
% 41.56/6.52 % Propositional preprocessing time : 0.000
% 41.56/6.52 % Propositional encoding time : 0.000
% 41.56/6.52 % Propositional solver time : 0.000
% 41.56/6.52 % Success case prop preproc time : 0.000
% 41.56/6.52 % Success case prop encoding time : 0.000
% 41.56/6.52 % Success case prop solver time : 0.000
% 41.56/6.52 % Current number of processed clauses : 6173
% 41.56/6.52 % Positive orientable unit clauses : 1916
% 41.56/6.52 % Positive unorientable unit clauses: 0
% 41.56/6.52 % Negative unit clauses : 602
% 41.56/6.52 % Non-unit-clauses : 3655
% 41.56/6.52 % Current number of unprocessed clauses: 225922
% 41.56/6.52 % ...number of literals in the above : 831890
% 41.56/6.52 % Current number of archived formulas : 0
% 41.56/6.52 % Current number of archived clauses : 1314
% 41.56/6.52 % Clause-clause subsumption calls (NU) : 1491620
% 41.56/6.52 % Rec. Clause-clause subsumption calls : 1012538
% 41.56/6.52 % Non-unit clause-clause subsumptions : 10607
% 41.56/6.52 % Unit Clause-clause subsumption calls : 516868
% 41.56/6.52 % Rewrite failures with RHS unbound : 0
% 41.56/6.52 % BW rewrite match attempts : 16886
% 41.56/6.52 % BW rewrite match successes : 176
% 41.56/6.52 % Condensation attempts : 0
% 41.56/6.52 % Condensation successes : 0
% 41.56/6.52 % Termbank termtop insertions : 5803481
% 41.56/6.52 % Search garbage collected termcells : 73
% 41.56/6.52
% 41.56/6.52 % -------------------------------------------------
% 41.56/6.52 % User time : 5.597 s
% 41.56/6.52 % System time : 0.193 s
% 41.56/6.52 % Total time : 5.790 s
% 41.56/6.52 % Maximum resident set size: 3608 pages
% 41.56/6.52
% 41.56/6.52 % -------------------------------------------------
% 41.56/6.52 % User time : 28.384 s
% 41.56/6.52 % System time : 1.093 s
% 41.56/6.52 % Total time : 29.477 s
% 41.56/6.52 % Maximum resident set size: 4864 pages
% 41.56/6.52 % E exiting
%------------------------------------------------------------------------------