TSTP Solution File: FLD051-4 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : FLD051-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 17:30:09 EDT 2023
% Result : Unsatisfiable 25.32s 3.75s
% Output : CNFRefutation 25.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 38
% Syntax : Number of clauses : 200 ( 85 unt; 15 nHn; 200 RR)
% Number of literals : 428 ( 0 equ; 221 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-2 aty)
% Number of variables : 284 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(commutativity_multiplication,axiom,
( product(X1,X2,X3)
| ~ product(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',commutativity_multiplication) ).
cnf(product_15,negated_conjecture,
product(c,multiplicative_inverse(d),t),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',product_15) ).
cnf(associativity_multiplication_2,axiom,
( product(X1,X2,X3)
| ~ product(X4,X5,X1)
| ~ product(X5,X2,X6)
| ~ product(X4,X6,X3) ),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',associativity_multiplication_2) ).
cnf(associativity_multiplication_1,axiom,
( product(X1,X2,X3)
| ~ product(X1,X4,X5)
| ~ product(X4,X6,X2)
| ~ product(X5,X6,X3) ),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',associativity_multiplication_1) ).
cnf(existence_of_identity_multiplication,axiom,
( product(multiplicative_identity,X1,X1)
| ~ defined(X1) ),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',existence_of_identity_multiplication) ).
cnf(totality_of_multiplication,axiom,
( product(X1,X2,multiply(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',totality_of_multiplication) ).
cnf(t_is_defined,hypothesis,
defined(t),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',t_is_defined) ).
cnf(existence_of_inverse_multiplication,axiom,
( product(multiplicative_inverse(X1),X1,multiplicative_identity)
| sum(additive_identity,X1,additive_identity)
| ~ defined(X1) ),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',existence_of_inverse_multiplication) ).
cnf(well_definedness_of_multiplicative_identity,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',well_definedness_of_multiplicative_identity) ).
cnf(d_is_defined,hypothesis,
defined(d),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',d_is_defined) ).
cnf(not_sum_12,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',not_sum_12) ).
cnf(c_is_defined,hypothesis,
defined(c),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',c_is_defined) ).
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/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',compatibility_of_order_relation_and_addition) ).
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X1,X1)
| ~ defined(X1) ),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',existence_of_identity_addition) ).
cnf(totality_of_order_relation,axiom,
( less_or_equal(X1,X2)
| less_or_equal(X2,X1)
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',totality_of_order_relation) ).
cnf(product_14,negated_conjecture,
product(a,multiplicative_inverse(b),s),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',product_14) ).
cnf(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',well_definedness_of_additive_identity) ).
cnf(commutativity_addition,axiom,
( sum(X1,X2,X3)
| ~ sum(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',commutativity_addition) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',a_is_defined) ).
cnf(not_sum_11,negated_conjecture,
~ sum(additive_identity,c,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',not_sum_11) ).
cnf(associativity_addition_1,axiom,
( sum(X1,X2,X3)
| ~ sum(X1,X4,X5)
| ~ sum(X4,X6,X2)
| ~ sum(X5,X6,X3) ),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',associativity_addition_1) ).
cnf(antisymmetry_of_order_relation,axiom,
( sum(additive_identity,X1,X2)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',antisymmetry_of_order_relation) ).
cnf(product_13,negated_conjecture,
product(s,multiplicative_inverse(t),u),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',product_13) ).
cnf(well_definedness_of_multiplicative_inverse,axiom,
( defined(multiplicative_inverse(X1))
| sum(additive_identity,X1,additive_identity)
| ~ defined(X1) ),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',well_definedness_of_multiplicative_inverse) ).
cnf(product_17,negated_conjecture,
product(b,c,l),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',product_17) ).
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/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',distributivity_1) ).
cnf(product_16,negated_conjecture,
product(a,d,k),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',product_16) ).
cnf(associativity_addition_2,axiom,
( sum(X1,X2,X3)
| ~ sum(X4,X5,X1)
| ~ sum(X5,X2,X6)
| ~ sum(X4,X6,X3) ),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',associativity_addition_2) ).
cnf(totality_of_addition,axiom,
( sum(X1,X2,add(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',totality_of_addition) ).
cnf(b_is_defined,hypothesis,
defined(b),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',b_is_defined) ).
cnf(existence_of_inverse_addition,axiom,
( sum(additive_inverse(X1),X1,additive_identity)
| ~ defined(X1) ),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',existence_of_inverse_addition) ).
cnf(not_sum_10,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',not_sum_10) ).
cnf(l_is_defined,hypothesis,
defined(l),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',l_is_defined) ).
cnf(k_is_defined,hypothesis,
defined(k),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',k_is_defined) ).
cnf(s_is_defined,hypothesis,
defined(s),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',s_is_defined) ).
cnf(not_product_18,negated_conjecture,
~ product(k,multiplicative_inverse(l),u),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',not_product_18) ).
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/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',distributivity_2) ).
cnf(well_definedness_of_additive_inverse,axiom,
( defined(additive_inverse(X1))
| ~ defined(X1) ),
file('/export/starexec/sandbox/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p',well_definedness_of_additive_inverse) ).
cnf(c_0_38,axiom,
( product(X1,X2,X3)
| ~ product(X2,X1,X3) ),
commutativity_multiplication ).
cnf(c_0_39,negated_conjecture,
product(c,multiplicative_inverse(d),t),
product_15 ).
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,negated_conjecture,
product(multiplicative_inverse(d),c,t),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,axiom,
( product(X1,X2,X3)
| ~ product(X1,X4,X5)
| ~ product(X4,X6,X2)
| ~ product(X5,X6,X3) ),
associativity_multiplication_1 ).
cnf(c_0_43,axiom,
( product(multiplicative_identity,X1,X1)
| ~ defined(X1) ),
existence_of_identity_multiplication ).
cnf(c_0_44,negated_conjecture,
( product(X1,c,X2)
| ~ product(X3,multiplicative_inverse(d),X1)
| ~ product(X3,t,X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,axiom,
( product(X1,X2,multiply(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
totality_of_multiplication ).
cnf(c_0_46,hypothesis,
defined(t),
t_is_defined ).
cnf(c_0_47,axiom,
( product(multiplicative_inverse(X1),X1,multiplicative_identity)
| sum(additive_identity,X1,additive_identity)
| ~ defined(X1) ),
existence_of_inverse_multiplication ).
cnf(c_0_48,plain,
( product(X1,X2,X3)
| ~ product(X1,X4,multiplicative_identity)
| ~ product(X4,X3,X2)
| ~ defined(X3) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_49,axiom,
defined(multiplicative_identity),
well_definedness_of_multiplicative_identity ).
cnf(c_0_50,negated_conjecture,
( product(X1,c,multiply(X2,t))
| ~ product(X2,multiplicative_inverse(d),X1)
| ~ defined(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_51,plain,
( product(X1,multiplicative_inverse(X1),multiplicative_identity)
| sum(additive_identity,X1,additive_identity)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_47]) ).
cnf(c_0_52,hypothesis,
defined(d),
d_is_defined ).
cnf(c_0_53,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
not_sum_12 ).
cnf(c_0_54,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_48,c_0_43]),c_0_49])]) ).
cnf(c_0_55,negated_conjecture,
product(multiplicative_identity,c,multiply(d,t)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]),c_0_53]) ).
cnf(c_0_56,hypothesis,
defined(c),
c_is_defined ).
cnf(c_0_57,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_45]) ).
cnf(c_0_58,negated_conjecture,
product(multiplicative_identity,multiply(d,t),c),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).
cnf(c_0_59,plain,
( product(X1,multiplicative_identity,X1)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_43]) ).
cnf(c_0_60,negated_conjecture,
( product(X1,t,c)
| ~ product(multiplicative_identity,d,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_46]),c_0_52])]) ).
cnf(c_0_61,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_59]) ).
cnf(c_0_62,negated_conjecture,
product(d,t,c),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_43]),c_0_52])]) ).
cnf(c_0_63,negated_conjecture,
( product(X1,multiplicative_identity,c)
| ~ product(d,t,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_46])]) ).
cnf(c_0_64,negated_conjecture,
product(c,multiplicative_identity,c),
inference(spm,[status(thm)],[c_0_63,c_0_62]) ).
cnf(c_0_65,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_66,axiom,
( sum(additive_identity,X1,X1)
| ~ defined(X1) ),
existence_of_identity_addition ).
cnf(c_0_67,axiom,
( less_or_equal(X1,X2)
| less_or_equal(X2,X1)
| ~ defined(X1)
| ~ defined(X2) ),
totality_of_order_relation ).
cnf(c_0_68,negated_conjecture,
product(a,multiplicative_inverse(b),s),
product_14 ).
cnf(c_0_69,negated_conjecture,
product(multiplicative_identity,c,c),
inference(spm,[status(thm)],[c_0_38,c_0_64]) ).
cnf(c_0_70,plain,
( less_or_equal(X1,X2)
| ~ less_or_equal(X3,additive_identity)
| ~ defined(X2)
| ~ sum(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_71,plain,
( less_or_equal(X1,X1)
| ~ defined(X1) ),
inference(ef,[status(thm)],[c_0_67]) ).
cnf(c_0_72,axiom,
defined(additive_identity),
well_definedness_of_additive_identity ).
cnf(c_0_73,axiom,
( sum(X1,X2,X3)
| ~ sum(X2,X1,X3) ),
commutativity_addition ).
cnf(c_0_74,negated_conjecture,
( product(X1,X2,s)
| ~ product(X3,multiplicative_inverse(b),X2)
| ~ product(X1,X3,a) ),
inference(spm,[status(thm)],[c_0_42,c_0_68]) ).
cnf(c_0_75,hypothesis,
defined(a),
a_is_defined ).
cnf(c_0_76,negated_conjecture,
( product(X1,c,X2)
| ~ product(X3,c,X2)
| ~ product(X3,multiplicative_identity,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_69]) ).
cnf(c_0_77,negated_conjecture,
~ sum(additive_identity,c,additive_identity),
not_sum_11 ).
cnf(c_0_78,plain,
( less_or_equal(X1,X2)
| ~ defined(X2)
| ~ sum(additive_identity,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72])]) ).
cnf(c_0_79,plain,
( sum(X1,additive_identity,X1)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_66]) ).
cnf(c_0_80,negated_conjecture,
( product(multiplicative_identity,X1,s)
| ~ product(a,multiplicative_inverse(b),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_43]),c_0_75])]) ).
cnf(c_0_81,negated_conjecture,
( product(X1,c,multiplicative_identity)
| ~ product(multiplicative_inverse(c),multiplicative_identity,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_47]),c_0_56])]),c_0_77]) ).
cnf(c_0_82,axiom,
( sum(X1,X2,X3)
| ~ sum(X1,X4,X5)
| ~ sum(X4,X6,X2)
| ~ sum(X5,X6,X3) ),
associativity_addition_1 ).
cnf(c_0_83,axiom,
( sum(additive_identity,X1,X2)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X2,X1) ),
antisymmetry_of_order_relation ).
cnf(c_0_84,plain,
less_or_equal(additive_identity,additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_72])]) ).
cnf(c_0_85,negated_conjecture,
product(multiplicative_identity,s,s),
inference(spm,[status(thm)],[c_0_80,c_0_68]) ).
cnf(c_0_86,negated_conjecture,
product(s,multiplicative_inverse(t),u),
product_13 ).
cnf(c_0_87,negated_conjecture,
( product(multiplicative_inverse(c),c,multiplicative_identity)
| ~ defined(multiplicative_inverse(c)) ),
inference(spm,[status(thm)],[c_0_81,c_0_59]) ).
cnf(c_0_88,axiom,
( defined(multiplicative_inverse(X1))
| sum(additive_identity,X1,additive_identity)
| ~ defined(X1) ),
well_definedness_of_multiplicative_inverse ).
cnf(c_0_89,plain,
( sum(X1,X2,X3)
| ~ defined(X3)
| ~ sum(X1,X4,additive_identity)
| ~ sum(X4,X3,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_66]) ).
cnf(c_0_90,plain,
sum(additive_identity,additive_identity,additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_84])]) ).
cnf(c_0_91,negated_conjecture,
( product(X1,X2,s)
| ~ product(X3,s,X2)
| ~ product(X1,X3,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_42,c_0_85]) ).
cnf(c_0_92,negated_conjecture,
product(multiplicative_inverse(t),s,u),
inference(spm,[status(thm)],[c_0_38,c_0_86]) ).
cnf(c_0_93,negated_conjecture,
product(multiplicative_inverse(c),c,multiplicative_identity),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_56])]),c_0_77]) ).
cnf(c_0_94,negated_conjecture,
product(b,c,l),
product_17 ).
cnf(c_0_95,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_96,negated_conjecture,
product(a,d,k),
product_16 ).
cnf(c_0_97,axiom,
( sum(X1,X2,X3)
| ~ sum(X4,X5,X1)
| ~ sum(X5,X2,X6)
| ~ sum(X4,X6,X3) ),
associativity_addition_2 ).
cnf(c_0_98,axiom,
( sum(X1,X2,add(X1,X2))
| ~ defined(X1)
| ~ defined(X2) ),
totality_of_addition ).
cnf(c_0_99,plain,
( sum(additive_identity,X1,X2)
| ~ defined(X2)
| ~ sum(additive_identity,X2,X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_100,negated_conjecture,
( product(X1,u,s)
| ~ product(X1,multiplicative_inverse(t),multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_101,negated_conjecture,
( product(multiplicative_inverse(c),X1,X2)
| ~ product(c,X2,X1)
| ~ defined(X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_93]) ).
cnf(c_0_102,negated_conjecture,
product(c,b,l),
inference(spm,[status(thm)],[c_0_38,c_0_94]) ).
cnf(c_0_103,hypothesis,
defined(b),
b_is_defined ).
cnf(c_0_104,axiom,
( sum(additive_inverse(X1),X1,additive_identity)
| ~ defined(X1) ),
existence_of_inverse_addition ).
cnf(c_0_105,negated_conjecture,
( sum(X1,X2,k)
| ~ product(X3,d,X2)
| ~ product(X4,d,X1)
| ~ sum(X4,X3,a) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_106,plain,
( sum(X1,X2,X3)
| ~ defined(X2)
| ~ defined(X4)
| ~ sum(X5,add(X4,X2),X3)
| ~ sum(X5,X4,X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_107,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_99,c_0_98]),c_0_72])]) ).
cnf(c_0_108,negated_conjecture,
( product(t,u,s)
| sum(additive_identity,t,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_51]),c_0_46])]) ).
cnf(c_0_109,negated_conjecture,
product(multiplicative_inverse(c),l,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103])]) ).
cnf(c_0_110,negated_conjecture,
( product(X1,X2,c)
| ~ product(X3,c,X2)
| ~ product(X1,X3,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_42,c_0_69]) ).
cnf(c_0_111,plain,
( sum(X1,additive_inverse(X1),additive_identity)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_104]) ).
cnf(c_0_112,negated_conjecture,
( sum(X1,k,k)
| ~ product(X2,d,X1)
| ~ sum(X2,a,a) ),
inference(spm,[status(thm)],[c_0_105,c_0_96]) ).
cnf(c_0_113,negated_conjecture,
product(t,d,c),
inference(spm,[status(thm)],[c_0_38,c_0_62]) ).
cnf(c_0_114,plain,
( sum(X1,X2,X2)
| ~ defined(X2)
| ~ sum(additive_identity,additive_identity,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_72])]) ).
cnf(c_0_115,negated_conjecture,
( product(t,u,s)
| sum(additive_identity,additive_identity,t) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_108]),c_0_46])]) ).
cnf(c_0_116,plain,
( product(X1,X2,multiplicative_identity)
| sum(additive_identity,X3,additive_identity)
| ~ product(X4,multiplicative_inverse(X3),X2)
| ~ product(X1,X4,X3)
| ~ defined(X3) ),
inference(spm,[status(thm)],[c_0_42,c_0_51]) ).
cnf(c_0_117,negated_conjecture,
product(l,multiplicative_inverse(c),b),
inference(spm,[status(thm)],[c_0_38,c_0_109]) ).
cnf(c_0_118,negated_conjecture,
( product(X1,l,c)
| ~ product(X1,b,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_110,c_0_94]) ).
cnf(c_0_119,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
not_sum_10 ).
cnf(c_0_120,plain,
( sum(X1,X2,additive_identity)
| ~ defined(X3)
| ~ sum(X4,additive_inverse(X3),X2)
| ~ sum(X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_82,c_0_111]) ).
cnf(c_0_121,negated_conjecture,
( sum(c,k,k)
| ~ sum(t,a,a) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_122,negated_conjecture,
( product(t,u,s)
| sum(t,X1,X1)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_123,negated_conjecture,
( product(X1,b,multiplicative_identity)
| ~ product(X1,l,c) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_56])]),c_0_77]) ).
cnf(c_0_124,negated_conjecture,
product(multiplicative_inverse(b),l,c),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_47]),c_0_103])]),c_0_119]) ).
cnf(c_0_125,negated_conjecture,
( product(X1,b,X2)
| ~ product(X3,l,X2)
| ~ product(X3,c,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_102]) ).
cnf(c_0_126,hypothesis,
defined(l),
l_is_defined ).
cnf(c_0_127,plain,
( sum(X1,additive_identity,additive_identity)
| ~ defined(X2)
| ~ sum(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_120,c_0_111]) ).
cnf(c_0_128,negated_conjecture,
( product(t,u,s)
| sum(c,k,k) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_75])]) ).
cnf(c_0_129,hypothesis,
defined(k),
k_is_defined ).
cnf(c_0_130,negated_conjecture,
product(multiplicative_inverse(b),b,multiplicative_identity),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_131,negated_conjecture,
( product(X1,b,l)
| ~ product(multiplicative_identity,c,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_43]),c_0_126])]) ).
cnf(c_0_132,negated_conjecture,
( product(t,u,s)
| sum(c,additive_identity,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_129])]) ).
cnf(c_0_133,negated_conjecture,
product(b,multiplicative_inverse(b),multiplicative_identity),
inference(spm,[status(thm)],[c_0_38,c_0_130]) ).
cnf(c_0_134,plain,
( product(X1,X2,multiply(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_45]) ).
cnf(c_0_135,negated_conjecture,
product(multiply(d,t),b,l),
inference(spm,[status(thm)],[c_0_131,c_0_55]) ).
cnf(c_0_136,negated_conjecture,
product(t,u,s),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_132]),c_0_77]) ).
cnf(c_0_137,negated_conjecture,
( product(b,X1,X2)
| ~ product(multiplicative_inverse(b),X2,X1)
| ~ defined(X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_133]) ).
cnf(c_0_138,negated_conjecture,
product(multiplicative_inverse(b),a,s),
inference(spm,[status(thm)],[c_0_38,c_0_68]) ).
cnf(c_0_139,negated_conjecture,
( sum(X1,X2,t)
| ~ product(X3,multiplicative_inverse(d),X2)
| ~ product(X4,multiplicative_inverse(d),X1)
| ~ sum(X4,X3,c) ),
inference(spm,[status(thm)],[c_0_95,c_0_39]) ).
cnf(c_0_140,plain,
( product(X1,X2,X3)
| ~ product(X4,multiply(X2,X5),X3)
| ~ product(X4,X5,X1)
| ~ defined(X5)
| ~ defined(X2) ),
inference(spm,[status(thm)],[c_0_40,c_0_134]) ).
cnf(c_0_141,negated_conjecture,
product(b,multiply(d,t),l),
inference(spm,[status(thm)],[c_0_38,c_0_135]) ).
cnf(c_0_142,negated_conjecture,
( product(X1,u,X2)
| ~ product(X3,s,X2)
| ~ product(X3,t,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_136]) ).
cnf(c_0_143,negated_conjecture,
product(b,s,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_75])]) ).
cnf(c_0_144,negated_conjecture,
( sum(X1,X2,t)
| ~ product(c,multiplicative_inverse(d),X2)
| ~ product(additive_identity,multiplicative_inverse(d),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_66]),c_0_56])]) ).
cnf(c_0_145,negated_conjecture,
( product(X1,d,l)
| ~ product(b,t,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_46]),c_0_52])]) ).
cnf(c_0_146,negated_conjecture,
( product(X1,u,a)
| ~ product(b,t,X1) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_147,negated_conjecture,
( sum(X1,t,t)
| ~ product(additive_identity,multiplicative_inverse(d),X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_39]) ).
cnf(c_0_148,negated_conjecture,
( product(X1,X2,u)
| ~ product(X3,multiplicative_inverse(t),X2)
| ~ product(X1,X3,s) ),
inference(spm,[status(thm)],[c_0_42,c_0_86]) ).
cnf(c_0_149,hypothesis,
defined(s),
s_is_defined ).
cnf(c_0_150,negated_conjecture,
( product(X1,X2,k)
| ~ product(X3,d,X2)
| ~ product(X1,X3,a) ),
inference(spm,[status(thm)],[c_0_42,c_0_96]) ).
cnf(c_0_151,negated_conjecture,
product(multiply(b,t),d,l),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_45]),c_0_46]),c_0_103])]) ).
cnf(c_0_152,negated_conjecture,
product(multiply(b,t),u,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_45]),c_0_46]),c_0_103])]) ).
cnf(c_0_153,negated_conjecture,
( sum(multiply(additive_identity,multiplicative_inverse(d)),t,t)
| ~ defined(multiplicative_inverse(d)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_45]),c_0_72])]) ).
cnf(c_0_154,negated_conjecture,
( product(multiplicative_identity,X1,u)
| ~ product(s,multiplicative_inverse(t),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_43]),c_0_149])]) ).
cnf(c_0_155,negated_conjecture,
( product(X1,l,k)
| ~ product(X1,multiply(b,t),a) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_156,negated_conjecture,
product(u,multiply(b,t),a),
inference(spm,[status(thm)],[c_0_38,c_0_152]) ).
cnf(c_0_157,plain,
( sum(X1,additive_identity,X2)
| ~ defined(X3)
| ~ sum(X4,X3,X2)
| ~ sum(X4,X3,X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_79]) ).
cnf(c_0_158,negated_conjecture,
sum(multiply(additive_identity,multiplicative_inverse(d)),t,t),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_88]),c_0_52])]),c_0_53]) ).
cnf(c_0_159,negated_conjecture,
product(multiplicative_identity,u,u),
inference(spm,[status(thm)],[c_0_154,c_0_86]) ).
cnf(c_0_160,negated_conjecture,
product(u,l,k),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_161,negated_conjecture,
( sum(X1,additive_identity,t)
| ~ sum(multiply(additive_identity,multiplicative_inverse(d)),t,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_46])]) ).
cnf(c_0_162,negated_conjecture,
( product(X1,X2,u)
| ~ product(X3,u,X2)
| ~ product(X1,X3,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_42,c_0_159]) ).
cnf(c_0_163,negated_conjecture,
product(l,u,k),
inference(spm,[status(thm)],[c_0_38,c_0_160]) ).
cnf(c_0_164,negated_conjecture,
sum(t,additive_identity,t),
inference(spm,[status(thm)],[c_0_161,c_0_158]) ).
cnf(c_0_165,negated_conjecture,
( product(X1,k,u)
| ~ product(X1,l,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_166,negated_conjecture,
sum(additive_identity,t,t),
inference(spm,[status(thm)],[c_0_73,c_0_164]) ).
cnf(c_0_167,negated_conjecture,
( product(multiplicative_inverse(l),k,u)
| sum(additive_identity,l,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_47]),c_0_126])]) ).
cnf(c_0_168,negated_conjecture,
~ product(k,multiplicative_inverse(l),u),
not_product_18 ).
cnf(c_0_169,negated_conjecture,
( product(X1,X2,t)
| ~ product(X3,multiplicative_inverse(d),X2)
| ~ product(X1,X3,c) ),
inference(spm,[status(thm)],[c_0_42,c_0_39]) ).
cnf(c_0_170,negated_conjecture,
( sum(X1,X2,t)
| ~ sum(X3,t,X2)
| ~ sum(X1,X3,additive_identity) ),
inference(spm,[status(thm)],[c_0_82,c_0_166]) ).
cnf(c_0_171,negated_conjecture,
sum(additive_identity,l,additive_identity),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_167]),c_0_168]) ).
cnf(c_0_172,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_173,negated_conjecture,
( product(multiplicative_identity,X1,t)
| ~ product(c,multiplicative_inverse(d),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_43]),c_0_56])]) ).
cnf(c_0_174,negated_conjecture,
( sum(X1,t,t)
| ~ sum(X1,additive_identity,additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_66]),c_0_46])]) ).
cnf(c_0_175,negated_conjecture,
sum(l,additive_identity,additive_identity),
inference(spm,[status(thm)],[c_0_73,c_0_171]) ).
cnf(c_0_176,plain,
( product(X1,X2,additive_identity)
| ~ product(X3,X2,additive_inverse(X4))
| ~ product(X5,X2,X4)
| ~ defined(X4)
| ~ sum(X3,X5,X1) ),
inference(spm,[status(thm)],[c_0_172,c_0_104]) ).
cnf(c_0_177,axiom,
( defined(additive_inverse(X1))
| ~ defined(X1) ),
well_definedness_of_additive_inverse ).
cnf(c_0_178,negated_conjecture,
product(multiplicative_identity,t,t),
inference(spm,[status(thm)],[c_0_173,c_0_39]) ).
cnf(c_0_179,negated_conjecture,
sum(l,t,t),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_180,plain,
( product(X1,multiplicative_identity,additive_identity)
| ~ product(X2,multiplicative_identity,X3)
| ~ defined(X3)
| ~ sum(additive_inverse(X3),X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_59]),c_0_177]) ).
cnf(c_0_181,negated_conjecture,
product(t,multiplicative_identity,t),
inference(spm,[status(thm)],[c_0_38,c_0_178]) ).
cnf(c_0_182,plain,
( sum(additive_inverse(X1),X2,X3)
| ~ defined(X3)
| ~ defined(X1)
| ~ sum(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_89,c_0_104]) ).
cnf(c_0_183,negated_conjecture,
sum(t,l,t),
inference(spm,[status(thm)],[c_0_73,c_0_179]) ).
cnf(c_0_184,negated_conjecture,
( product(X1,multiplicative_identity,additive_identity)
| ~ sum(additive_inverse(t),t,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_46])]) ).
cnf(c_0_185,negated_conjecture,
sum(additive_inverse(t),t,l),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_126]),c_0_46])]) ).
cnf(c_0_186,negated_conjecture,
product(l,multiplicative_identity,additive_identity),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_187,negated_conjecture,
( product(X1,c,X2)
| ~ product(X3,l,X2)
| ~ product(X3,b,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_94]) ).
cnf(c_0_188,negated_conjecture,
product(multiplicative_identity,l,additive_identity),
inference(spm,[status(thm)],[c_0_38,c_0_186]) ).
cnf(c_0_189,negated_conjecture,
( product(X1,c,additive_identity)
| ~ product(multiplicative_identity,b,X1) ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_190,negated_conjecture,
( sum(X1,X2,s)
| ~ product(X3,multiplicative_inverse(b),X2)
| ~ product(X4,multiplicative_inverse(b),X1)
| ~ sum(X4,X3,a) ),
inference(spm,[status(thm)],[c_0_95,c_0_68]) ).
cnf(c_0_191,plain,
( product(multiplicative_inverse(X1),X2,X3)
| sum(additive_identity,X1,additive_identity)
| ~ product(X1,X3,X2)
| ~ defined(X3)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_47]) ).
cnf(c_0_192,negated_conjecture,
product(b,c,additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_43]),c_0_103])]) ).
cnf(c_0_193,negated_conjecture,
( sum(X1,X2,s)
| ~ product(a,multiplicative_inverse(b),X2)
| ~ product(additive_identity,multiplicative_inverse(b),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_66]),c_0_75])]) ).
cnf(c_0_194,negated_conjecture,
product(multiplicative_inverse(b),additive_identity,c),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_56]),c_0_103])]),c_0_119]) ).
cnf(c_0_195,negated_conjecture,
( sum(X1,s,s)
| ~ product(additive_identity,multiplicative_inverse(b),X1) ),
inference(spm,[status(thm)],[c_0_193,c_0_68]) ).
cnf(c_0_196,negated_conjecture,
product(additive_identity,multiplicative_inverse(b),c),
inference(spm,[status(thm)],[c_0_38,c_0_194]) ).
cnf(c_0_197,negated_conjecture,
sum(c,s,s),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_198,negated_conjecture,
sum(c,additive_identity,additive_identity),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_197]),c_0_149])]) ).
cnf(c_0_199,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_198]),c_0_77]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD051-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 2400
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Oct 2 23:37:01 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 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/tmp/tmp.I4Mu5Aui01/E---3.1_5237.p
% 25.32/3.75 # Version: 3.1pre001
% 25.32/3.75 # Preprocessing class: FSMSSMSMSSSNFFN.
% 25.32/3.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 25.32/3.75 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 25.32/3.75 # Starting new_bool_3 with 300s (1) cores
% 25.32/3.75 # Starting new_bool_1 with 300s (1) cores
% 25.32/3.75 # Starting sh5l with 300s (1) cores
% 25.32/3.75 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 5447 completed with status 0
% 25.32/3.75 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 25.32/3.75 # Preprocessing class: FSMSSMSMSSSNFFN.
% 25.32/3.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 25.32/3.75 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 25.32/3.75 # No SInE strategy applied
% 25.32/3.75 # Search class: FGUNF-FFMM21-SFFFFFNN
% 25.32/3.75 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 25.32/3.75 # Starting G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with 589s (1) cores
% 25.32/3.75 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 25.32/3.75 # Starting new_bool_3 with 269s (1) cores
% 25.32/3.75 # Starting G-E--_107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S08BN with 136s (1) cores
% 25.32/3.75 # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S5PRR_S04AN with 136s (1) cores
% 25.32/3.75 # G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with pid 5452 completed with status 0
% 25.32/3.75 # Result found by G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S
% 25.32/3.75 # Preprocessing class: FSMSSMSMSSSNFFN.
% 25.32/3.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 25.32/3.75 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 25.32/3.75 # No SInE strategy applied
% 25.32/3.75 # Search class: FGUNF-FFMM21-SFFFFFNN
% 25.32/3.75 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 25.32/3.75 # Starting G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with 589s (1) cores
% 25.32/3.75 # Preprocessing time : 0.002 s
% 25.32/3.75
% 25.32/3.75 # Proof found!
% 25.32/3.75 # SZS status Unsatisfiable
% 25.32/3.75 # SZS output start CNFRefutation
% See solution above
% 25.32/3.75 # Parsed axioms : 44
% 25.32/3.75 # Removed by relevancy pruning/SinE : 0
% 25.32/3.75 # Initial clauses : 44
% 25.32/3.75 # Removed in clause preprocessing : 0
% 25.32/3.75 # Initial clauses in saturation : 44
% 25.32/3.75 # Processed clauses : 12029
% 25.32/3.75 # ...of these trivial : 2268
% 25.32/3.75 # ...subsumed : 1825
% 25.32/3.75 # ...remaining for further processing : 7936
% 25.32/3.75 # Other redundant clauses eliminated : 0
% 25.32/3.75 # Clauses deleted for lack of memory : 0
% 25.32/3.75 # Backward-subsumed : 26
% 25.32/3.75 # Backward-rewritten : 224
% 25.32/3.75 # Generated clauses : 160972
% 25.32/3.75 # ...of the previous two non-redundant : 134825
% 25.32/3.75 # ...aggressively subsumed : 0
% 25.32/3.75 # Contextual simplify-reflections : 63
% 25.32/3.75 # Paramodulations : 160962
% 25.32/3.75 # Factorizations : 10
% 25.32/3.75 # NegExts : 0
% 25.32/3.75 # Equation resolutions : 0
% 25.32/3.75 # Total rewrite steps : 124037
% 25.32/3.75 # Propositional unsat checks : 0
% 25.32/3.75 # Propositional check models : 0
% 25.32/3.75 # Propositional check unsatisfiable : 0
% 25.32/3.75 # Propositional clauses : 0
% 25.32/3.75 # Propositional clauses after purity: 0
% 25.32/3.75 # Propositional unsat core size : 0
% 25.32/3.75 # Propositional preprocessing time : 0.000
% 25.32/3.75 # Propositional encoding time : 0.000
% 25.32/3.75 # Propositional solver time : 0.000
% 25.32/3.75 # Success case prop preproc time : 0.000
% 25.32/3.75 # Success case prop encoding time : 0.000
% 25.32/3.75 # Success case prop solver time : 0.000
% 25.32/3.75 # Current number of processed clauses : 7686
% 25.32/3.75 # Positive orientable unit clauses : 2517
% 25.32/3.75 # Positive unorientable unit clauses: 0
% 25.32/3.75 # Negative unit clauses : 5
% 25.32/3.75 # Non-unit-clauses : 5164
% 25.32/3.75 # Current number of unprocessed clauses: 122706
% 25.32/3.75 # ...number of literals in the above : 298428
% 25.32/3.75 # Current number of archived formulas : 0
% 25.32/3.75 # Current number of archived clauses : 250
% 25.32/3.75 # Clause-clause subsumption calls (NU) : 2916785
% 25.32/3.75 # Rec. Clause-clause subsumption calls : 2114876
% 25.32/3.75 # Non-unit clause-clause subsumptions : 1911
% 25.32/3.75 # Unit Clause-clause subsumption calls : 1426599
% 25.32/3.75 # Rewrite failures with RHS unbound : 0
% 25.32/3.75 # BW rewrite match attempts : 4364
% 25.32/3.75 # BW rewrite match successes : 81
% 25.32/3.75 # Condensation attempts : 0
% 25.32/3.75 # Condensation successes : 0
% 25.32/3.75 # Termbank termtop insertions : 2494268
% 25.32/3.75
% 25.32/3.75 # -------------------------------------------------
% 25.32/3.75 # User time : 2.751 s
% 25.32/3.75 # System time : 0.078 s
% 25.32/3.75 # Total time : 2.829 s
% 25.32/3.75 # Maximum resident set size: 1676 pages
% 25.32/3.75
% 25.32/3.75 # -------------------------------------------------
% 25.32/3.75 # User time : 15.234 s
% 25.32/3.75 # System time : 0.364 s
% 25.32/3.75 # Total time : 15.598 s
% 25.32/3.75 # Maximum resident set size: 1732 pages
% 25.32/3.75 % E---3.1 exiting
% 25.32/3.75 % E---3.1 exiting
%------------------------------------------------------------------------------