TSTP Solution File: SET099+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SET099+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n014.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 : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 00:49:09 EDT 2022
% Result : Theorem 0.22s 2.42s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 10
% Syntax : Number of formulae : 96 ( 27 unt; 0 def)
% Number of atoms : 239 ( 66 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 240 ( 97 ~; 109 |; 23 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 155 ( 23 sgn 55 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(corollary_2_to_number_of_elements_in_class,conjecture,
! [X1] :
( ! [X3,X4] :
( ( member(X3,X1)
& member(X4,intersection(complement(singleton(X3)),X1)) )
=> X3 = X4 )
=> ( X1 = null_class
| ? [X2] : singleton(X2) = X1 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',corollary_2_to_number_of_elements_in_class) ).
fof(singleton_set_defn,axiom,
! [X1] : singleton(X1) = unordered_pair(X1,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).
fof(intersection,axiom,
! [X1,X2,X5] :
( member(X5,intersection(X1,X2))
<=> ( member(X5,X1)
& member(X5,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',intersection) ).
fof(regularity,axiom,
! [X1] :
( X1 != null_class
=> ? [X3] :
( member(X3,universal_class)
& member(X3,X1)
& disjoint(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',regularity) ).
fof(complement,axiom,
! [X1,X5] :
( member(X5,complement(X1))
<=> ( member(X5,universal_class)
& ~ member(X5,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',complement) ).
fof(subclass_defn,axiom,
! [X1,X2] :
( subclass(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',subclass_defn) ).
fof(null_class_defn,axiom,
! [X1] : ~ member(X1,null_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',null_class_defn) ).
fof(unordered_pair_defn,axiom,
! [X3,X1,X2] :
( member(X3,unordered_pair(X1,X2))
<=> ( member(X3,universal_class)
& ( X3 = X1
| X3 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',unordered_pair_defn) ).
fof(class_elements_are_sets,axiom,
! [X1] : subclass(X1,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',class_elements_are_sets) ).
fof(extensionality,axiom,
! [X1,X2] :
( X1 = X2
<=> ( subclass(X1,X2)
& subclass(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',extensionality) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ! [X3,X4] :
( ( member(X3,X1)
& member(X4,intersection(complement(singleton(X3)),X1)) )
=> X3 = X4 )
=> ( X1 = null_class
| ? [X2] : singleton(X2) = X1 ) ),
inference(assume_negation,[status(cth)],[corollary_2_to_number_of_elements_in_class]) ).
fof(c_0_11,negated_conjecture,
! [X6,X7,X8] :
( ( ~ member(X6,esk8_0)
| ~ member(X7,intersection(complement(singleton(X6)),esk8_0))
| X6 = X7 )
& esk8_0 != null_class
& singleton(X8) != esk8_0 ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])])]) ).
fof(c_0_12,plain,
! [X2] : singleton(X2) = unordered_pair(X2,X2),
inference(variable_rename,[status(thm)],[singleton_set_defn]) ).
fof(c_0_13,plain,
! [X6,X7,X8,X6,X7,X8] :
( ( member(X8,X6)
| ~ member(X8,intersection(X6,X7)) )
& ( member(X8,X7)
| ~ member(X8,intersection(X6,X7)) )
& ( ~ member(X8,X6)
| ~ member(X8,X7)
| member(X8,intersection(X6,X7)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[intersection])])])])]) ).
fof(c_0_14,plain,
! [X4] :
( ( member(esk6_1(X4),universal_class)
| X4 = null_class )
& ( member(esk6_1(X4),X4)
| X4 = null_class )
& ( disjoint(esk6_1(X4),X4)
| X4 = null_class ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[regularity])])])])])]) ).
cnf(c_0_15,negated_conjecture,
( X1 = X2
| ~ member(X2,intersection(complement(singleton(X1)),esk8_0))
| ~ member(X1,esk8_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
singleton(X1) = unordered_pair(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( X1 = null_class
| member(esk6_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( X1 = X2
| ~ member(X1,esk8_0)
| ~ member(X2,intersection(complement(unordered_pair(X1,X1)),esk8_0)) ),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
( intersection(X1,X2) = null_class
| member(esk6_1(intersection(X1,X2)),X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( esk6_1(intersection(complement(unordered_pair(X1,X1)),esk8_0)) = X1
| intersection(complement(unordered_pair(X1,X1)),esk8_0) = null_class
| ~ member(X1,esk8_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
fof(c_0_22,plain,
! [X6,X7,X6,X7] :
( ( member(X7,universal_class)
| ~ member(X7,complement(X6)) )
& ( ~ member(X7,X6)
| ~ member(X7,complement(X6)) )
& ( ~ member(X7,universal_class)
| member(X7,X6)
| member(X7,complement(X6)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[complement])])])])])]) ).
cnf(c_0_23,negated_conjecture,
( intersection(complement(unordered_pair(X1,X1)),esk8_0) = null_class
| member(X1,complement(unordered_pair(X1,X1)))
| ~ member(X1,esk8_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
esk8_0 != null_class,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_25,plain,
! [X4,X5,X6,X4,X5] :
( ( ~ subclass(X4,X5)
| ~ member(X6,X4)
| member(X6,X5) )
& ( member(esk1_2(X4,X5),X4)
| subclass(X4,X5) )
& ( ~ member(esk1_2(X4,X5),X5)
| subclass(X4,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[subclass_defn])])])])])])]) ).
cnf(c_0_26,plain,
( ~ member(X1,complement(X2))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( intersection(complement(unordered_pair(esk6_1(esk8_0),esk6_1(esk8_0))),esk8_0) = null_class
| member(esk6_1(esk8_0),complement(unordered_pair(esk6_1(esk8_0),esk6_1(esk8_0)))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_18]),c_0_24]) ).
fof(c_0_28,plain,
! [X2] : ~ member(X2,null_class),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[null_class_defn])]) ).
fof(c_0_29,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( member(X4,universal_class)
| ~ member(X4,unordered_pair(X5,X6)) )
& ( X4 = X5
| X4 = X6
| ~ member(X4,unordered_pair(X5,X6)) )
& ( X4 != X5
| ~ member(X4,universal_class)
| member(X4,unordered_pair(X5,X6)) )
& ( X4 != X6
| ~ member(X4,universal_class)
| member(X4,unordered_pair(X5,X6)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unordered_pair_defn])])])])]) ).
cnf(c_0_30,plain,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_31,plain,
( subclass(X1,X2)
| member(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X3)
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_33,negated_conjecture,
( intersection(complement(unordered_pair(esk6_1(esk8_0),esk6_1(esk8_0))),esk8_0) = null_class
| ~ member(esk6_1(esk8_0),unordered_pair(esk6_1(esk8_0),esk6_1(esk8_0))) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,plain,
~ member(X1,null_class),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,plain,
( member(X1,unordered_pair(X2,X3))
| ~ member(X1,universal_class)
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_36,plain,
! [X2] : subclass(X2,universal_class),
inference(variable_rename,[status(thm)],[class_elements_are_sets]) ).
fof(c_0_37,plain,
! [X3,X4,X3,X4] :
( ( subclass(X3,X4)
| X3 != X4 )
& ( subclass(X4,X3)
| X3 != X4 )
& ( ~ subclass(X3,X4)
| ~ subclass(X4,X3)
| X3 = X4 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[extensionality])])])])]) ).
cnf(c_0_38,plain,
( subclass(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_39,plain,
( member(esk1_2(intersection(X1,X2),X3),X2)
| subclass(intersection(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_40,negated_conjecture,
( ~ member(esk6_1(esk8_0),unordered_pair(esk6_1(esk8_0),esk6_1(esk8_0)))
| ~ member(X1,complement(unordered_pair(esk6_1(esk8_0),esk6_1(esk8_0))))
| ~ member(X1,esk8_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_41,plain,
( member(X1,unordered_pair(X2,X1))
| ~ member(X1,universal_class) ),
inference(er,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
( member(X1,X2)
| ~ member(X1,X3)
| ~ subclass(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_43,plain,
subclass(X1,universal_class),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
( X1 = X2
| ~ subclass(X2,X1)
| ~ subclass(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,plain,
subclass(intersection(X1,X2),X2),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_46,negated_conjecture,
( ~ member(X1,complement(unordered_pair(esk6_1(esk8_0),esk6_1(esk8_0))))
| ~ member(esk6_1(esk8_0),universal_class)
| ~ member(X1,esk8_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,plain,
( member(X1,universal_class)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,plain,
( intersection(X1,X2) = X2
| ~ subclass(X2,intersection(X1,X2)) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,negated_conjecture,
( intersection(complement(unordered_pair(esk6_1(esk8_0),esk6_1(esk8_0))),esk8_0) = null_class
| ~ member(esk6_1(esk8_0),esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_27]),c_0_47]) ).
cnf(c_0_50,plain,
( X1 = X3
| X1 = X2
| ~ member(X1,unordered_pair(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_51,plain,
( subclass(X1,intersection(X2,X3))
| ~ member(esk1_2(X1,intersection(X2,X3)),X3)
| ~ member(esk1_2(X1,intersection(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_32]) ).
cnf(c_0_52,negated_conjecture,
( ~ member(esk6_1(esk8_0),esk8_0)
| ~ subclass(esk8_0,null_class) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_24]) ).
cnf(c_0_53,plain,
( esk6_1(unordered_pair(X1,X2)) = X2
| esk6_1(unordered_pair(X1,X2)) = X1
| unordered_pair(X1,X2) = null_class ),
inference(spm,[status(thm)],[c_0_50,c_0_18]) ).
cnf(c_0_54,plain,
( subclass(X1,intersection(X2,X1))
| ~ member(esk1_2(X1,intersection(X2,X1)),X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_31]) ).
cnf(c_0_55,negated_conjecture,
~ subclass(esk8_0,null_class),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_18]),c_0_24]) ).
cnf(c_0_56,plain,
( X1 = null_class
| member(esk6_1(X1),universal_class) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_57,plain,
( esk6_1(unordered_pair(X1,X1)) = X1
| unordered_pair(X1,X1) = null_class ),
inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_53])]) ).
cnf(c_0_58,negated_conjecture,
( ~ member(esk1_2(esk8_0,null_class),complement(unordered_pair(esk6_1(esk8_0),esk6_1(esk8_0))))
| ~ member(esk6_1(esk8_0),esk8_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_49]),c_0_55]) ).
cnf(c_0_59,plain,
( member(X1,complement(X2))
| member(X1,X2)
| ~ member(X1,universal_class) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_60,negated_conjecture,
( intersection(complement(unordered_pair(esk6_1(esk8_0),esk6_1(esk8_0))),esk8_0) = null_class
| member(esk6_1(esk8_0),universal_class) ),
inference(spm,[status(thm)],[c_0_47,c_0_27]) ).
cnf(c_0_61,plain,
( unordered_pair(X1,X1) = null_class
| member(X1,universal_class) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,negated_conjecture,
( X1 = X2
| ~ member(X2,complement(unordered_pair(X1,X1)))
| ~ member(X1,esk8_0)
| ~ member(X2,esk8_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_32]) ).
cnf(c_0_63,negated_conjecture,
( member(esk1_2(esk8_0,null_class),unordered_pair(esk6_1(esk8_0),esk6_1(esk8_0)))
| ~ member(esk1_2(esk8_0,null_class),universal_class)
| ~ member(esk6_1(esk8_0),esk8_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,negated_conjecture,
( intersection(complement(null_class),esk8_0) = null_class
| member(esk6_1(esk8_0),universal_class) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_65,negated_conjecture,
( X1 = X2
| member(X2,unordered_pair(X1,X1))
| ~ member(X1,esk8_0)
| ~ member(X2,esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_59]),c_0_47]) ).
cnf(c_0_66,negated_conjecture,
( esk1_2(esk8_0,null_class) = esk6_1(esk8_0)
| ~ member(esk1_2(esk8_0,null_class),universal_class)
| ~ member(esk6_1(esk8_0),esk8_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_63]) ).
cnf(c_0_67,plain,
( member(esk1_2(X1,X2),universal_class)
| subclass(X1,X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_31]) ).
cnf(c_0_68,negated_conjecture,
( member(esk6_1(esk8_0),universal_class)
| ~ member(X1,complement(null_class))
| ~ member(X1,esk8_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_64]),c_0_34]) ).
cnf(c_0_69,negated_conjecture,
( X1 = X2
| ~ member(X2,esk8_0)
| ~ member(X1,esk8_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_65]) ).
cnf(c_0_70,negated_conjecture,
( esk1_2(esk8_0,null_class) = esk6_1(esk8_0)
| ~ member(esk6_1(esk8_0),esk8_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_55]) ).
cnf(c_0_71,negated_conjecture,
( member(esk6_1(esk8_0),universal_class)
| ~ member(X1,esk8_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_59]),c_0_34]),c_0_47]) ).
cnf(c_0_72,plain,
( member(esk1_2(intersection(X1,X2),X3),X1)
| subclass(intersection(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_31]) ).
cnf(c_0_73,negated_conjecture,
( X1 = esk6_1(esk8_0)
| ~ member(X1,esk8_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_18]),c_0_24]) ).
cnf(c_0_74,negated_conjecture,
esk1_2(esk8_0,null_class) = esk6_1(esk8_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_18]),c_0_24]) ).
cnf(c_0_75,negated_conjecture,
member(esk6_1(esk8_0),universal_class),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_18]),c_0_24]) ).
cnf(c_0_76,plain,
( subclass(intersection(X1,X2),intersection(X3,X1))
| ~ member(esk1_2(intersection(X1,X2),intersection(X3,X1)),X3) ),
inference(spm,[status(thm)],[c_0_51,c_0_72]) ).
cnf(c_0_77,negated_conjecture,
( esk1_2(esk8_0,X1) = esk6_1(esk8_0)
| subclass(esk8_0,X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_31]) ).
cnf(c_0_78,negated_conjecture,
( member(esk6_1(esk8_0),unordered_pair(esk6_1(esk8_0),esk6_1(esk8_0)))
| ~ member(esk6_1(esk8_0),esk8_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_74]),c_0_74]),c_0_75])]) ).
cnf(c_0_79,negated_conjecture,
member(esk6_1(esk8_0),esk8_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_74]),c_0_55]) ).
cnf(c_0_80,plain,
subclass(intersection(X1,X2),intersection(X2,X1)),
inference(spm,[status(thm)],[c_0_76,c_0_39]) ).
cnf(c_0_81,negated_conjecture,
( subclass(esk8_0,intersection(X1,esk8_0))
| ~ member(esk6_1(esk8_0),X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_77]) ).
cnf(c_0_82,negated_conjecture,
member(esk6_1(esk8_0),unordered_pair(esk6_1(esk8_0),esk6_1(esk8_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79])]) ).
cnf(c_0_83,plain,
intersection(X1,X2) = intersection(X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_80]),c_0_80])]) ).
cnf(c_0_84,negated_conjecture,
( subclass(esk8_0,X1)
| ~ member(esk6_1(esk8_0),X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_77]) ).
cnf(c_0_85,negated_conjecture,
singleton(X1) != esk8_0,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_86,negated_conjecture,
subclass(esk8_0,intersection(esk8_0,unordered_pair(esk6_1(esk8_0),esk6_1(esk8_0)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]) ).
cnf(c_0_87,plain,
subclass(intersection(X1,X2),X1),
inference(spm,[status(thm)],[c_0_38,c_0_72]) ).
cnf(c_0_88,negated_conjecture,
subclass(esk8_0,unordered_pair(esk6_1(esk8_0),esk6_1(esk8_0))),
inference(spm,[status(thm)],[c_0_84,c_0_82]) ).
cnf(c_0_89,negated_conjecture,
unordered_pair(X1,X1) != esk8_0,
inference(rw,[status(thm)],[c_0_85,c_0_16]) ).
cnf(c_0_90,negated_conjecture,
intersection(esk8_0,unordered_pair(esk6_1(esk8_0),esk6_1(esk8_0))) = esk8_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_86]),c_0_87])]) ).
cnf(c_0_91,negated_conjecture,
~ subclass(unordered_pair(esk6_1(esk8_0),esk6_1(esk8_0)),esk8_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_88]),c_0_89]) ).
cnf(c_0_92,plain,
( esk1_2(unordered_pair(X1,X2),X3) = X2
| esk1_2(unordered_pair(X1,X2),X3) = X1
| subclass(unordered_pair(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_31]) ).
cnf(c_0_93,negated_conjecture,
~ member(esk1_2(unordered_pair(esk6_1(esk8_0),esk6_1(esk8_0)),esk8_0),esk8_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_90]),c_0_91]) ).
cnf(c_0_94,plain,
( esk1_2(unordered_pair(X1,X2),X3) = X2
| subclass(unordered_pair(X1,X2),X3)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_38,c_0_92]) ).
cnf(c_0_95,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_79])]),c_0_91]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET099+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.04/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 16:20:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.22/2.42 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.22/2.42 # Preprocessing time : 0.019 s
% 0.22/2.42
% 0.22/2.42 # Proof found!
% 0.22/2.42 # SZS status Theorem
% 0.22/2.42 # SZS output start CNFRefutation
% See solution above
% 0.22/2.42 # Proof object total steps : 96
% 0.22/2.42 # Proof object clause steps : 75
% 0.22/2.42 # Proof object formula steps : 21
% 0.22/2.42 # Proof object conjectures : 43
% 0.22/2.42 # Proof object clause conjectures : 40
% 0.22/2.42 # Proof object formula conjectures : 3
% 0.22/2.42 # Proof object initial clauses used : 19
% 0.22/2.42 # Proof object initial formulas used : 10
% 0.22/2.42 # Proof object generating inferences : 51
% 0.22/2.42 # Proof object simplifying inferences : 35
% 0.22/2.42 # Training examples: 0 positive, 0 negative
% 0.22/2.42 # Parsed axioms : 44
% 0.22/2.42 # Removed by relevancy pruning/SinE : 0
% 0.22/2.42 # Initial clauses : 92
% 0.22/2.42 # Removed in clause preprocessing : 8
% 0.22/2.42 # Initial clauses in saturation : 84
% 0.22/2.42 # Processed clauses : 6047
% 0.22/2.42 # ...of these trivial : 23
% 0.22/2.42 # ...subsumed : 4018
% 0.22/2.42 # ...remaining for further processing : 2006
% 0.22/2.42 # Other redundant clauses eliminated : 47
% 0.22/2.42 # Clauses deleted for lack of memory : 0
% 0.22/2.42 # Backward-subsumed : 105
% 0.22/2.42 # Backward-rewritten : 263
% 0.22/2.42 # Generated clauses : 103514
% 0.22/2.42 # ...of the previous two non-trivial : 95382
% 0.22/2.42 # Contextual simplify-reflections : 1541
% 0.22/2.42 # Paramodulations : 103299
% 0.22/2.42 # Factorizations : 165
% 0.22/2.42 # Equation resolutions : 49
% 0.22/2.42 # Current number of processed clauses : 1633
% 0.22/2.42 # Positive orientable unit clauses : 83
% 0.22/2.42 # Positive unorientable unit clauses: 1
% 0.22/2.42 # Negative unit clauses : 66
% 0.22/2.42 # Non-unit-clauses : 1483
% 0.22/2.42 # Current number of unprocessed clauses: 78572
% 0.22/2.42 # ...number of literals in the above : 329284
% 0.22/2.42 # Current number of archived formulas : 0
% 0.22/2.42 # Current number of archived clauses : 377
% 0.22/2.42 # Clause-clause subsumption calls (NU) : 637241
% 0.22/2.42 # Rec. Clause-clause subsumption calls : 398312
% 0.22/2.42 # Non-unit clause-clause subsumptions : 3591
% 0.22/2.42 # Unit Clause-clause subsumption calls : 27481
% 0.22/2.42 # Rewrite failures with RHS unbound : 0
% 0.22/2.42 # BW rewrite match attempts : 645
% 0.22/2.42 # BW rewrite match successes : 366
% 0.22/2.42 # Condensation attempts : 0
% 0.22/2.42 # Condensation successes : 0
% 0.22/2.42 # Termbank termtop insertions : 3473564
% 0.22/2.42
% 0.22/2.42 # -------------------------------------------------
% 0.22/2.42 # User time : 1.798 s
% 0.22/2.42 # System time : 0.046 s
% 0.22/2.42 # Total time : 1.844 s
% 0.22/2.42 # Maximum resident set size: 90492 pages
% 0.22/23.41 eprover: CPU time limit exceeded, terminating
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: CPU time limit exceeded, terminating
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: CPU time limit exceeded, terminating
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.48 eprover: No such file or directory
% 0.22/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.49 eprover: No such file or directory
% 0.22/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.49 eprover: No such file or directory
% 0.22/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.49 eprover: No such file or directory
% 0.22/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.50 eprover: No such file or directory
% 0.22/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.50 eprover: No such file or directory
% 0.22/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.51 eprover: No such file or directory
% 0.22/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.51 eprover: No such file or directory
% 0.22/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.52 eprover: No such file or directory
% 0.22/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.52 eprover: No such file or directory
% 0.22/23.53 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.53 eprover: No such file or directory
%------------------------------------------------------------------------------