TSTP Solution File: FLD043-5 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : FLD043-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:30:06 EDT 2023
% Result : Unsatisfiable 9.72s 1.75s
% Output : CNFRefutation 9.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 25
% Syntax : Number of clauses : 159 ( 36 unt; 31 nHn; 159 RR)
% Number of literals : 403 ( 0 equ; 223 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 : 265 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_addition_1,axiom,
( sum(X1,X2,X3)
| ~ sum(X1,X4,X5)
| ~ sum(X4,X6,X2)
| ~ sum(X5,X6,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',associativity_addition_1) ).
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X1,X1)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',existence_of_identity_addition) ).
cnf(associativity_multiplication_1,axiom,
( product(X1,X2,X3)
| ~ product(X1,X4,X5)
| ~ product(X4,X6,X2)
| ~ product(X5,X6,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',associativity_multiplication_1) ).
cnf(existence_of_identity_multiplication,axiom,
( product(multiplicative_identity,X1,X1)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',existence_of_identity_multiplication) ).
cnf(existence_of_inverse_multiplication,axiom,
( product(multiplicative_inverse(X1),X1,multiplicative_identity)
| sum(additive_identity,X1,additive_identity)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',existence_of_inverse_multiplication) ).
cnf(well_definedness_of_multiplicative_identity,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',well_definedness_of_multiplicative_identity) ).
cnf(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',well_definedness_of_additive_identity) ).
cnf(well_definedness_of_multiplicative_inverse,axiom,
( defined(multiplicative_inverse(X1))
| sum(additive_identity,X1,additive_identity)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',well_definedness_of_multiplicative_inverse) ).
cnf(commutativity_multiplication,axiom,
( product(X1,X2,X3)
| ~ product(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',commutativity_multiplication) ).
cnf(different_identities,axiom,
~ sum(additive_identity,additive_identity,multiplicative_identity),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',different_identities) ).
cnf(associativity_multiplication_2,axiom,
( product(X1,X2,X3)
| ~ product(X4,X5,X1)
| ~ product(X5,X2,X6)
| ~ product(X4,X6,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',associativity_multiplication_2) ).
cnf(distributivity_1,axiom,
( sum(X1,X2,X3)
| ~ sum(X4,X5,X6)
| ~ product(X6,X7,X3)
| ~ product(X4,X7,X1)
| ~ product(X5,X7,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',distributivity_1) ).
cnf(commutativity_addition,axiom,
( sum(X1,X2,X3)
| ~ sum(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',commutativity_addition) ).
cnf(distributivity_2,axiom,
( product(X1,X2,X3)
| ~ sum(X4,X5,X1)
| ~ product(X4,X2,X6)
| ~ product(X5,X2,X7)
| ~ sum(X6,X7,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',distributivity_2) ).
cnf(totality_of_multiplication,axiom,
( product(X1,X2,multiply(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',totality_of_multiplication) ).
cnf(well_definedness_of_multiplication,axiom,
( defined(multiply(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',well_definedness_of_multiplication) ).
cnf(existence_of_inverse_addition,axiom,
( sum(additive_inverse(X1),X1,additive_identity)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',existence_of_inverse_addition) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',a_is_defined) ).
cnf(well_definedness_of_additive_inverse,axiom,
( defined(additive_inverse(X1))
| ~ defined(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',well_definedness_of_additive_inverse) ).
cnf(totality_of_addition,axiom,
( sum(X1,X2,add(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',totality_of_addition) ).
cnf(associativity_addition_2,axiom,
( sum(X1,X2,X3)
| ~ sum(X4,X5,X1)
| ~ sum(X5,X2,X6)
| ~ sum(X4,X6,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',associativity_addition_2) ).
cnf(compatibility_of_order_relation_and_addition,axiom,
( less_or_equal(X1,X2)
| ~ less_or_equal(X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X4,X5,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',compatibility_of_order_relation_and_addition) ).
cnf(totality_of_order_relation,axiom,
( less_or_equal(X1,X2)
| less_or_equal(X2,X1)
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',totality_of_order_relation) ).
cnf(not_product_2,negated_conjecture,
~ product(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',not_product_2) ).
cnf(antisymmetry_of_order_relation,axiom,
( sum(additive_identity,X1,X2)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p',antisymmetry_of_order_relation) ).
cnf(c_0_25,axiom,
( sum(X1,X2,X3)
| ~ sum(X1,X4,X5)
| ~ sum(X4,X6,X2)
| ~ sum(X5,X6,X3) ),
associativity_addition_1 ).
cnf(c_0_26,axiom,
( sum(additive_identity,X1,X1)
| ~ defined(X1) ),
existence_of_identity_addition ).
cnf(c_0_27,axiom,
( product(X1,X2,X3)
| ~ product(X1,X4,X5)
| ~ product(X4,X6,X2)
| ~ product(X5,X6,X3) ),
associativity_multiplication_1 ).
cnf(c_0_28,axiom,
( product(multiplicative_identity,X1,X1)
| ~ defined(X1) ),
existence_of_identity_multiplication ).
cnf(c_0_29,axiom,
( product(multiplicative_inverse(X1),X1,multiplicative_identity)
| sum(additive_identity,X1,additive_identity)
| ~ defined(X1) ),
existence_of_inverse_multiplication ).
cnf(c_0_30,axiom,
defined(multiplicative_identity),
well_definedness_of_multiplicative_identity ).
cnf(c_0_31,plain,
( sum(X1,X2,X3)
| ~ defined(X3)
| ~ sum(X1,X4,additive_identity)
| ~ sum(X4,X3,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,axiom,
defined(additive_identity),
well_definedness_of_additive_identity ).
cnf(c_0_33,axiom,
( defined(multiplicative_inverse(X1))
| sum(additive_identity,X1,additive_identity)
| ~ defined(X1) ),
well_definedness_of_multiplicative_inverse ).
cnf(c_0_34,plain,
( product(X1,X2,X3)
| ~ product(X1,X4,multiplicative_identity)
| ~ product(X4,X3,X2)
| ~ defined(X3) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,axiom,
( product(X1,X2,X3)
| ~ product(X2,X1,X3) ),
commutativity_multiplication ).
cnf(c_0_36,plain,
( product(multiplicative_inverse(multiplicative_identity),multiplicative_identity,multiplicative_identity)
| sum(additive_identity,multiplicative_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,plain,
( sum(additive_identity,X1,X2)
| ~ defined(X2)
| ~ sum(additive_identity,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_26]),c_0_32])]) ).
cnf(c_0_38,plain,
( defined(multiplicative_inverse(multiplicative_identity))
| sum(additive_identity,multiplicative_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_33,c_0_30]) ).
cnf(c_0_39,axiom,
~ sum(additive_identity,additive_identity,multiplicative_identity),
different_identities ).
cnf(c_0_40,axiom,
( product(X1,X2,X3)
| ~ product(X4,X5,X1)
| ~ product(X5,X2,X6)
| ~ product(X4,X6,X3) ),
associativity_multiplication_2 ).
cnf(c_0_41,plain,
( product(multiplicative_identity,X1,X2)
| ~ product(multiplicative_identity,X2,X1)
| ~ defined(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_28]),c_0_30])]) ).
cnf(c_0_42,plain,
( product(multiplicative_identity,multiplicative_inverse(multiplicative_identity),multiplicative_identity)
| sum(additive_identity,multiplicative_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,plain,
defined(multiplicative_inverse(multiplicative_identity)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_30])]),c_0_39]) ).
cnf(c_0_44,plain,
( product(X1,X2,X3)
| ~ product(X4,multiplicative_identity,X1)
| ~ product(X4,X2,X3)
| ~ defined(X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_28]) ).
cnf(c_0_45,plain,
( product(multiplicative_identity,multiplicative_identity,multiplicative_inverse(multiplicative_identity))
| sum(additive_identity,multiplicative_identity,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_46,plain,
( product(multiplicative_inverse(multiplicative_identity),X1,X2)
| sum(additive_identity,multiplicative_identity,additive_identity)
| ~ product(multiplicative_identity,X1,X2)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_47,plain,
( product(X1,multiplicative_identity,X1)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_28]) ).
cnf(c_0_48,plain,
( product(multiplicative_inverse(multiplicative_identity),X1,X1)
| sum(additive_identity,multiplicative_identity,additive_identity)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_28]) ).
cnf(c_0_49,plain,
( product(X1,multiplicative_identity,X2)
| ~ product(X3,X4,X2)
| ~ product(X3,X4,X1)
| ~ defined(X4) ),
inference(spm,[status(thm)],[c_0_40,c_0_47]) ).
cnf(c_0_50,plain,
( product(multiplicative_inverse(multiplicative_identity),additive_identity,additive_identity)
| sum(additive_identity,multiplicative_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_48,c_0_32]) ).
cnf(c_0_51,axiom,
( sum(X1,X2,X3)
| ~ sum(X4,X5,X6)
| ~ product(X6,X7,X3)
| ~ product(X4,X7,X1)
| ~ product(X5,X7,X2) ),
distributivity_1 ).
cnf(c_0_52,plain,
product(multiplicative_identity,multiplicative_identity,multiplicative_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_47]),c_0_30])]) ).
cnf(c_0_53,plain,
( product(X1,multiplicative_identity,additive_identity)
| sum(additive_identity,multiplicative_identity,additive_identity)
| ~ product(multiplicative_inverse(multiplicative_identity),additive_identity,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_32])]) ).
cnf(c_0_54,plain,
( sum(X1,X2,multiplicative_identity)
| ~ product(X3,multiplicative_identity,X2)
| ~ product(X4,multiplicative_identity,X1)
| ~ sum(X4,X3,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,plain,
( product(additive_identity,multiplicative_identity,additive_identity)
| sum(additive_identity,multiplicative_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_53,c_0_50]) ).
cnf(c_0_56,axiom,
( sum(X1,X2,X3)
| ~ sum(X2,X1,X3) ),
commutativity_addition ).
cnf(c_0_57,plain,
( sum(additive_identity,multiplicative_identity,additive_identity)
| sum(X1,additive_identity,multiplicative_identity)
| ~ product(X2,multiplicative_identity,X1)
| ~ sum(X2,additive_identity,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,plain,
( sum(X1,additive_identity,X1)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_26]) ).
cnf(c_0_59,plain,
( sum(additive_identity,multiplicative_identity,additive_identity)
| sum(X1,additive_identity,multiplicative_identity)
| ~ product(multiplicative_identity,multiplicative_identity,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_30])]) ).
cnf(c_0_60,plain,
( sum(multiplicative_identity,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_59,c_0_47]),c_0_30])]) ).
cnf(c_0_61,axiom,
( product(X1,X2,X3)
| ~ sum(X4,X5,X1)
| ~ product(X4,X2,X6)
| ~ product(X5,X2,X7)
| ~ sum(X6,X7,X3) ),
distributivity_2 ).
cnf(c_0_62,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_37,c_0_60]),c_0_30])]),c_0_39]) ).
cnf(c_0_63,plain,
( product(X1,X2,X3)
| ~ product(X4,X2,X5)
| ~ defined(X2)
| ~ sum(X4,multiplicative_identity,X1)
| ~ sum(X5,X2,X3) ),
inference(spm,[status(thm)],[c_0_61,c_0_28]) ).
cnf(c_0_64,plain,
sum(additive_identity,multiplicative_identity,multiplicative_identity),
inference(spm,[status(thm)],[c_0_56,c_0_62]) ).
cnf(c_0_65,plain,
( product(multiplicative_identity,X1,X2)
| ~ product(additive_identity,X1,X3)
| ~ defined(X1)
| ~ sum(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_66,axiom,
( product(X1,X2,multiply(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
totality_of_multiplication ).
cnf(c_0_67,plain,
( product(multiplicative_identity,X1,X2)
| ~ defined(X1)
| ~ sum(multiply(additive_identity,X1),X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_32])]) ).
cnf(c_0_68,plain,
( product(multiplicative_identity,additive_identity,multiply(additive_identity,additive_identity))
| ~ defined(multiply(additive_identity,additive_identity)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_58]),c_0_32])]) ).
cnf(c_0_69,plain,
( product(X1,X2,X3)
| ~ product(X4,multiply(X5,X2),X3)
| ~ product(X4,X5,X1)
| ~ defined(X2)
| ~ defined(X5) ),
inference(spm,[status(thm)],[c_0_40,c_0_66]) ).
cnf(c_0_70,plain,
( product(multiplicative_identity,multiply(additive_identity,additive_identity),additive_identity)
| ~ defined(multiply(additive_identity,additive_identity)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_68]),c_0_32])]) ).
cnf(c_0_71,plain,
( product(X1,additive_identity,additive_identity)
| ~ product(multiplicative_identity,additive_identity,X1)
| ~ defined(multiply(additive_identity,additive_identity)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_32])]) ).
cnf(c_0_72,axiom,
( defined(multiply(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
well_definedness_of_multiplication ).
cnf(c_0_73,axiom,
( sum(additive_inverse(X1),X1,additive_identity)
| ~ defined(X1) ),
existence_of_inverse_addition ).
cnf(c_0_74,plain,
( product(X1,additive_identity,additive_identity)
| ~ product(multiplicative_identity,additive_identity,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_32])]) ).
cnf(c_0_75,plain,
( sum(X1,additive_inverse(X1),additive_identity)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_73]) ).
cnf(c_0_76,plain,
product(additive_identity,additive_identity,additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_28]),c_0_32])]) ).
cnf(c_0_77,plain,
( sum(X1,X2,additive_identity)
| ~ defined(X3)
| ~ sum(X1,X4,additive_inverse(X3))
| ~ sum(X4,X3,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_73]) ).
cnf(c_0_78,plain,
( sum(additive_identity,additive_identity,additive_inverse(additive_identity))
| ~ defined(additive_inverse(additive_identity)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_75]),c_0_32])]) ).
cnf(c_0_79,hypothesis,
defined(a),
a_is_defined ).
cnf(c_0_80,plain,
( product(X1,multiplicative_identity,additive_identity)
| ~ product(additive_identity,additive_identity,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_76]),c_0_32])]) ).
cnf(c_0_81,plain,
( sum(additive_identity,X1,additive_identity)
| ~ defined(additive_inverse(additive_identity))
| ~ sum(additive_identity,additive_identity,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_32])]) ).
cnf(c_0_82,axiom,
( defined(additive_inverse(X1))
| ~ defined(X1) ),
well_definedness_of_additive_inverse ).
cnf(c_0_83,hypothesis,
( product(multiplicative_inverse(multiplicative_identity),a,a)
| sum(additive_identity,multiplicative_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_48,c_0_79]) ).
cnf(c_0_84,plain,
product(additive_identity,multiplicative_identity,additive_identity),
inference(spm,[status(thm)],[c_0_80,c_0_76]) ).
cnf(c_0_85,plain,
( sum(additive_identity,X1,additive_identity)
| ~ sum(additive_identity,additive_identity,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_32])]) ).
cnf(c_0_86,axiom,
( sum(X1,X2,add(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
totality_of_addition ).
cnf(c_0_87,hypothesis,
( product(X1,multiplicative_identity,a)
| sum(additive_identity,multiplicative_identity,additive_identity)
| ~ product(multiplicative_inverse(multiplicative_identity),a,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_83]),c_0_79])]) ).
cnf(c_0_88,plain,
product(multiplicative_identity,additive_identity,additive_identity),
inference(spm,[status(thm)],[c_0_35,c_0_84]) ).
cnf(c_0_89,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_85,c_0_86]),c_0_32])]) ).
cnf(c_0_90,plain,
( sum(X1,X2,X3)
| ~ product(X4,X3,X2)
| ~ product(X5,X3,X1)
| ~ defined(X3)
| ~ sum(X5,X4,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_51,c_0_28]) ).
cnf(c_0_91,hypothesis,
( product(a,multiplicative_identity,a)
| sum(additive_identity,multiplicative_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_87,c_0_83]) ).
cnf(c_0_92,plain,
( product(X1,multiplicative_identity,additive_identity)
| ~ product(multiplicative_identity,additive_identity,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_88]),c_0_32])]) ).
cnf(c_0_93,plain,
( product(multiplicative_identity,additive_identity,X1)
| ~ sum(additive_identity,additive_identity,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_76]),c_0_32])]) ).
cnf(c_0_94,plain,
( sum(additive_identity,add(additive_identity,X1),X1)
| ~ defined(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_86]),c_0_32])]) ).
cnf(c_0_95,plain,
( sum(X1,X2,add(X3,X4))
| ~ defined(X4)
| ~ defined(X3)
| ~ sum(X5,X4,X2)
| ~ sum(X1,X5,X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_86]) ).
cnf(c_0_96,plain,
sum(add(additive_identity,additive_identity),additive_identity,additive_identity),
inference(spm,[status(thm)],[c_0_56,c_0_89]) ).
cnf(c_0_97,plain,
( sum(X1,X2,add(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_86]) ).
cnf(c_0_98,plain,
( sum(X1,X2,X3)
| ~ product(multiplicative_identity,X3,X2)
| ~ product(additive_identity,X3,X1)
| ~ defined(X3) ),
inference(spm,[status(thm)],[c_0_90,c_0_64]) ).
cnf(c_0_99,hypothesis,
( product(multiplicative_identity,a,a)
| sum(additive_identity,multiplicative_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_35,c_0_91]) ).
cnf(c_0_100,plain,
( sum(X1,additive_identity,multiplicative_identity)
| ~ product(X2,multiplicative_identity,X1)
| ~ sum(X2,additive_identity,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_54,c_0_84]) ).
cnf(c_0_101,plain,
( product(X1,multiplicative_identity,additive_identity)
| ~ sum(additive_identity,additive_identity,X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_102,plain,
( sum(add(additive_identity,X1),additive_identity,X1)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_94]) ).
cnf(c_0_103,plain,
( sum(X1,additive_identity,add(X2,additive_identity))
| ~ defined(X2)
| ~ sum(X1,add(additive_identity,additive_identity),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_32])]) ).
cnf(c_0_104,plain,
( sum(additive_identity,add(X1,additive_identity),X1)
| ~ defined(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_97]),c_0_32])]) ).
cnf(c_0_105,hypothesis,
( sum(additive_identity,multiplicative_identity,additive_identity)
| sum(X1,a,a)
| ~ product(additive_identity,a,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_79])]) ).
cnf(c_0_106,plain,
( ~ sum(X1,additive_identity,multiplicative_identity)
| ~ sum(additive_identity,additive_identity,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_39]) ).
cnf(c_0_107,plain,
( sum(add(additive_identity,additive_identity),X1,X2)
| ~ defined(X2)
| ~ sum(additive_identity,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_102]),c_0_32])]) ).
cnf(c_0_108,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_103,c_0_104]),c_0_32])]) ).
cnf(c_0_109,axiom,
( sum(X1,X2,X3)
| ~ sum(X4,X5,X1)
| ~ sum(X5,X2,X6)
| ~ sum(X4,X6,X3) ),
associativity_addition_2 ).
cnf(c_0_110,hypothesis,
( sum(multiply(additive_identity,a),a,a)
| 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_105,c_0_66]),c_0_79]),c_0_32])]) ).
cnf(c_0_111,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_106,c_0_107]),c_0_108]),c_0_30])]) ).
cnf(c_0_112,plain,
( sum(X1,additive_identity,X2)
| ~ defined(X3)
| ~ sum(X4,X3,X2)
| ~ sum(X4,X3,X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_58]) ).
cnf(c_0_113,hypothesis,
sum(multiply(additive_identity,a),a,a),
inference(sr,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_114,hypothesis,
( sum(X1,additive_identity,a)
| ~ sum(multiply(additive_identity,a),a,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_79])]) ).
cnf(c_0_115,hypothesis,
( product(multiplicative_inverse(a),a,multiplicative_identity)
| sum(additive_identity,a,additive_identity) ),
inference(spm,[status(thm)],[c_0_29,c_0_79]) ).
cnf(c_0_116,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_74,c_0_66]),c_0_32]),c_0_30])]) ).
cnf(c_0_117,plain,
( product(X1,multiplicative_identity,X2)
| ~ product(X3,multiplicative_identity,X4)
| ~ defined(X5)
| ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_47]) ).
cnf(c_0_118,hypothesis,
sum(a,additive_identity,a),
inference(spm,[status(thm)],[c_0_114,c_0_113]) ).
cnf(c_0_119,hypothesis,
( product(a,multiplicative_inverse(a),multiplicative_identity)
| sum(additive_identity,a,additive_identity) ),
inference(spm,[status(thm)],[c_0_35,c_0_115]) ).
cnf(c_0_120,plain,
product(additive_identity,multiply(multiplicative_identity,additive_identity),additive_identity),
inference(spm,[status(thm)],[c_0_35,c_0_116]) ).
cnf(c_0_121,plain,
( product(X1,multiplicative_identity,X2)
| ~ defined(X3)
| ~ defined(X4)
| ~ sum(X4,X3,X2)
| ~ sum(X4,X3,X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_47]) ).
cnf(c_0_122,hypothesis,
sum(additive_identity,a,a),
inference(spm,[status(thm)],[c_0_56,c_0_118]) ).
cnf(c_0_123,hypothesis,
( product(X1,multiplicative_inverse(a),X2)
| sum(additive_identity,a,additive_identity)
| ~ product(X3,multiplicative_identity,X2)
| ~ product(X3,a,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_119]) ).
cnf(c_0_124,plain,
( product(X1,additive_identity,additive_identity)
| ~ product(additive_identity,multiplicative_identity,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_120]),c_0_32]),c_0_30])]) ).
cnf(c_0_125,hypothesis,
( product(X1,multiplicative_identity,a)
| ~ sum(additive_identity,a,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_79]),c_0_32])]) ).
cnf(c_0_126,axiom,
( less_or_equal(X1,X2)
| ~ less_or_equal(X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X4,X5,X2) ),
compatibility_of_order_relation_and_addition ).
cnf(c_0_127,axiom,
( less_or_equal(X1,X2)
| less_or_equal(X2,X1)
| ~ defined(X1)
| ~ defined(X2) ),
totality_of_order_relation ).
cnf(c_0_128,hypothesis,
( product(X1,multiplicative_inverse(a),additive_identity)
| sum(additive_identity,a,additive_identity)
| ~ product(additive_identity,a,X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_84]) ).
cnf(c_0_129,hypothesis,
( product(a,additive_identity,additive_identity)
| ~ sum(additive_identity,a,additive_identity) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_130,negated_conjecture,
~ product(additive_identity,a,additive_identity),
not_product_2 ).
cnf(c_0_131,plain,
( less_or_equal(X1,add(X2,X3))
| ~ less_or_equal(X4,X2)
| ~ defined(X3)
| ~ defined(X2)
| ~ sum(X4,X3,X1) ),
inference(spm,[status(thm)],[c_0_126,c_0_86]) ).
cnf(c_0_132,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_58]),c_0_32])]) ).
cnf(c_0_133,plain,
( less_or_equal(X1,additive_identity)
| less_or_equal(additive_identity,X1)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_127,c_0_32]) ).
cnf(c_0_134,hypothesis,
( product(multiply(additive_identity,a),multiplicative_inverse(a),additive_identity)
| sum(additive_identity,a,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_66]),c_0_79]),c_0_32])]) ).
cnf(c_0_135,hypothesis,
~ sum(additive_identity,a,additive_identity),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_129]),c_0_130]) ).
cnf(c_0_136,plain,
( less_or_equal(X1,additive_identity)
| ~ less_or_equal(X2,add(additive_identity,additive_identity))
| ~ sum(X2,additive_identity,X1) ),
inference(spm,[status(thm)],[c_0_126,c_0_96]) ).
cnf(c_0_137,plain,
( less_or_equal(additive_identity,add(X1,additive_identity))
| ~ less_or_equal(additive_identity,X1)
| ~ defined(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_32])]) ).
cnf(c_0_138,plain,
less_or_equal(additive_identity,additive_identity),
inference(spm,[status(thm)],[c_0_133,c_0_32]) ).
cnf(c_0_139,plain,
( sum(X1,X2,additive_identity)
| ~ defined(X3)
| ~ sum(X4,additive_inverse(X3),X2)
| ~ sum(X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_75]) ).
cnf(c_0_140,hypothesis,
( product(X1,a,X2)
| sum(additive_identity,a,additive_identity)
| ~ product(X3,multiplicative_inverse(a),X1)
| ~ product(X3,multiplicative_identity,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_115]) ).
cnf(c_0_141,hypothesis,
product(multiply(additive_identity,a),multiplicative_inverse(a),additive_identity),
inference(sr,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_142,plain,
( less_or_equal(X1,additive_identity)
| ~ sum(additive_identity,additive_identity,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]),c_0_32])]) ).
cnf(c_0_143,plain,
( sum(X1,additive_identity,additive_identity)
| ~ defined(X2)
| ~ sum(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_139,c_0_75]) ).
cnf(c_0_144,hypothesis,
( product(additive_identity,a,X1)
| ~ product(multiply(additive_identity,a),multiplicative_identity,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_135]) ).
cnf(c_0_145,axiom,
( sum(additive_identity,X1,X2)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X2,X1) ),
antisymmetry_of_order_relation ).
cnf(c_0_146,plain,
( less_or_equal(X1,additive_identity)
| ~ less_or_equal(X2,additive_identity)
| ~ sum(X2,additive_identity,X1) ),
inference(spm,[status(thm)],[c_0_126,c_0_132]) ).
cnf(c_0_147,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_142,c_0_86]),c_0_32])]) ).
cnf(c_0_148,hypothesis,
sum(multiply(additive_identity,a),additive_identity,additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_113]),c_0_79])]) ).
cnf(c_0_149,hypothesis,
~ sum(additive_identity,additive_identity,multiply(additive_identity,a)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_101]),c_0_130]) ).
cnf(c_0_150,plain,
( sum(X1,additive_identity,X2)
| ~ less_or_equal(X2,X1)
| ~ less_or_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_145]) ).
cnf(c_0_151,plain,
( less_or_equal(X1,additive_identity)
| ~ defined(X1)
| ~ sum(additive_identity,X1,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_107]),c_0_147])]) ).
cnf(c_0_152,hypothesis,
sum(additive_identity,multiply(additive_identity,a),additive_identity),
inference(spm,[status(thm)],[c_0_56,c_0_148]) ).
cnf(c_0_153,plain,
( less_or_equal(X1,X2)
| ~ less_or_equal(X3,additive_identity)
| ~ defined(X2)
| ~ sum(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_126,c_0_26]) ).
cnf(c_0_154,hypothesis,
( ~ less_or_equal(multiply(additive_identity,a),additive_identity)
| ~ less_or_equal(additive_identity,multiply(additive_identity,a)) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_155,hypothesis,
( less_or_equal(multiply(additive_identity,a),additive_identity)
| ~ defined(multiply(additive_identity,a)) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_156,hypothesis,
( less_or_equal(additive_identity,multiply(additive_identity,a))
| ~ defined(multiply(additive_identity,a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_152]),c_0_138])]) ).
cnf(c_0_157,hypothesis,
~ defined(multiply(additive_identity,a)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156]) ).
cnf(c_0_158,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_72]),c_0_79]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD043-5 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Oct 2 22:59:59 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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/tmp/tmp.9Lhj5BeUha/E---3.1_9938.p
% 9.72/1.75 # Version: 3.1pre001
% 9.72/1.75 # Preprocessing class: FSMSSMSSSSSNFFN.
% 9.72/1.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.72/1.75 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.72/1.75 # Starting new_bool_3 with 300s (1) cores
% 9.72/1.75 # Starting new_bool_1 with 300s (1) cores
% 9.72/1.75 # Starting sh5l with 300s (1) cores
% 9.72/1.75 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 10025 completed with status 0
% 9.72/1.75 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 9.72/1.75 # Preprocessing class: FSMSSMSSSSSNFFN.
% 9.72/1.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.72/1.75 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.72/1.75 # No SInE strategy applied
% 9.72/1.75 # Search class: FGUNF-FFMS21-SFFFFFNN
% 9.72/1.75 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 9.72/1.75 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 675s (1) cores
% 9.72/1.75 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 9.72/1.75 # Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 9.72/1.75 # Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 9.72/1.75 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 136s (1) cores
% 9.72/1.75 # G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 10034 completed with status 0
% 9.72/1.75 # Result found by G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.72/1.75 # Preprocessing class: FSMSSMSSSSSNFFN.
% 9.72/1.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.72/1.75 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 9.72/1.75 # No SInE strategy applied
% 9.72/1.75 # Search class: FGUNF-FFMS21-SFFFFFNN
% 9.72/1.75 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 9.72/1.75 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 675s (1) cores
% 9.72/1.75 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 9.72/1.75 # Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 9.72/1.75 # Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 9.72/1.75 # Preprocessing time : 0.001 s
% 9.72/1.75 # Presaturation interreduction done
% 9.72/1.75
% 9.72/1.75 # Proof found!
% 9.72/1.75 # SZS status Unsatisfiable
% 9.72/1.75 # SZS output start CNFRefutation
% See solution above
% 9.72/1.75 # Parsed axioms : 28
% 9.72/1.75 # Removed by relevancy pruning/SinE : 0
% 9.72/1.75 # Initial clauses : 28
% 9.72/1.75 # Removed in clause preprocessing : 0
% 9.72/1.75 # Initial clauses in saturation : 28
% 9.72/1.75 # Processed clauses : 12026
% 9.72/1.75 # ...of these trivial : 230
% 9.72/1.75 # ...subsumed : 7675
% 9.72/1.75 # ...remaining for further processing : 4121
% 9.72/1.75 # Other redundant clauses eliminated : 0
% 9.72/1.75 # Clauses deleted for lack of memory : 0
% 9.72/1.75 # Backward-subsumed : 539
% 9.72/1.75 # Backward-rewritten : 729
% 9.72/1.75 # Generated clauses : 84051
% 9.72/1.75 # ...of the previous two non-redundant : 76360
% 9.72/1.75 # ...aggressively subsumed : 0
% 9.72/1.75 # Contextual simplify-reflections : 59
% 9.72/1.75 # Paramodulations : 83957
% 9.72/1.75 # Factorizations : 0
% 9.72/1.75 # NegExts : 0
% 9.72/1.75 # Equation resolutions : 0
% 9.72/1.75 # Total rewrite steps : 39830
% 9.72/1.75 # Propositional unsat checks : 0
% 9.72/1.75 # Propositional check models : 0
% 9.72/1.75 # Propositional check unsatisfiable : 0
% 9.72/1.75 # Propositional clauses : 0
% 9.72/1.75 # Propositional clauses after purity: 0
% 9.72/1.75 # Propositional unsat core size : 0
% 9.72/1.75 # Propositional preprocessing time : 0.000
% 9.72/1.75 # Propositional encoding time : 0.000
% 9.72/1.75 # Propositional solver time : 0.000
% 9.72/1.75 # Success case prop preproc time : 0.000
% 9.72/1.75 # Success case prop encoding time : 0.000
% 9.72/1.75 # Success case prop solver time : 0.000
% 9.72/1.75 # Current number of processed clauses : 2731
% 9.72/1.75 # Positive orientable unit clauses : 349
% 9.72/1.75 # Positive unorientable unit clauses: 0
% 9.72/1.75 # Negative unit clauses : 121
% 9.72/1.75 # Non-unit-clauses : 2261
% 9.72/1.75 # Current number of unprocessed clauses: 61847
% 9.72/1.75 # ...number of literals in the above : 254146
% 9.72/1.75 # Current number of archived formulas : 0
% 9.72/1.75 # Current number of archived clauses : 1390
% 9.72/1.75 # Clause-clause subsumption calls (NU) : 506440
% 9.72/1.75 # Rec. Clause-clause subsumption calls : 302355
% 9.72/1.75 # Non-unit clause-clause subsumptions : 6739
% 9.72/1.75 # Unit Clause-clause subsumption calls : 74090
% 9.72/1.75 # Rewrite failures with RHS unbound : 0
% 9.72/1.75 # BW rewrite match attempts : 729
% 9.72/1.75 # BW rewrite match successes : 70
% 9.72/1.75 # Condensation attempts : 0
% 9.72/1.75 # Condensation successes : 0
% 9.72/1.75 # Termbank termtop insertions : 1406985
% 9.72/1.75
% 9.72/1.75 # -------------------------------------------------
% 9.72/1.75 # User time : 1.133 s
% 9.72/1.75 # System time : 0.053 s
% 9.72/1.75 # Total time : 1.186 s
% 9.72/1.75 # Maximum resident set size: 1656 pages
% 9.72/1.75
% 9.72/1.75 # -------------------------------------------------
% 9.72/1.75 # User time : 5.773 s
% 9.72/1.75 # System time : 0.285 s
% 9.72/1.75 # Total time : 6.058 s
% 9.72/1.75 # Maximum resident set size: 1732 pages
% 9.72/1.75 % E---3.1 exiting
% 9.72/1.75 % E---3.1 exiting
%------------------------------------------------------------------------------