TSTP Solution File: SET143+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET143+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n005.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 00:09:53 EDT 2022
% Result : Theorem 7.83s 2.39s
% Output : CNFRefutation 7.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of formulae : 60 ( 13 unt; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 126 ( 55 ~; 59 |; 8 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 2 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thI08,conjecture,
! [X1,X2,X6] : equal_set(intersection(intersection(X1,X2),X6),intersection(X1,intersection(X2,X6))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI08) ).
fof(equal_set,axiom,
! [X1,X2] :
( equal_set(X1,X2)
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',equal_set) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
fof(intersection,axiom,
! [X3,X1,X2] :
( member(X3,intersection(X1,X2))
<=> ( member(X3,X1)
& member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',intersection) ).
fof(c_0_4,negated_conjecture,
~ ! [X1,X2,X6] : equal_set(intersection(intersection(X1,X2),X6),intersection(X1,intersection(X2,X6))),
inference(assume_negation,[status(cth)],[thI08]) ).
fof(c_0_5,negated_conjecture,
~ equal_set(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_6,plain,
! [X13,X14] :
( ( subset(X13,X14)
| ~ equal_set(X13,X14) )
& ( subset(X14,X13)
| ~ equal_set(X13,X14) )
& ( ~ subset(X13,X14)
| ~ subset(X14,X13)
| equal_set(X13,X14) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_set])])]) ).
cnf(c_0_7,negated_conjecture,
~ equal_set(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
( equal_set(X1,X2)
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X7,X8,X9,X10,X11] :
( ( ~ subset(X7,X8)
| ~ member(X9,X7)
| member(X9,X8) )
& ( member(esk1_2(X10,X11),X10)
| subset(X10,X11) )
& ( ~ member(esk1_2(X10,X11),X11)
| subset(X10,X11) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[subset])])])])])]) ).
cnf(c_0_10,negated_conjecture,
( ~ subset(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0))
| ~ subset(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
( member(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_12,plain,
! [X17,X18,X19] :
( ( member(X17,X18)
| ~ member(X17,intersection(X18,X19)) )
& ( member(X17,X19)
| ~ member(X17,intersection(X18,X19)) )
& ( ~ member(X17,X18)
| ~ member(X17,X19)
| member(X17,intersection(X18,X19)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[intersection])])]) ).
cnf(c_0_13,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(intersection(esk4_0,esk5_0),esk6_0))
| ~ subset(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,intersection(esk5_0,esk6_0)))
| member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(intersection(esk4_0,esk5_0),esk6_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_11]) ).
cnf(c_0_16,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,intersection(esk5_0,esk6_0)))
| member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(intersection(esk4_0,esk5_0),esk6_0))
| ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,esk5_0))
| member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,esk5_0))
| ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_22,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X2)
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_23,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk5_0,esk6_0))
| member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk4_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,esk5_0))
| ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,esk5_0))
| ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk6_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk4_0)
| member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk6_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,esk5_0))
| member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk4_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_18]) ).
cnf(c_0_27,negated_conjecture,
( ~ member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,intersection(esk5_0,esk6_0)))
| ~ subset(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)) ),
inference(spm,[status(thm)],[c_0_10,c_0_16]) ).
cnf(c_0_28,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk4_0)
| ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,esk5_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_24]),c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk4_0)
| member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk4_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk4_0)
| member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk5_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_23]) ).
cnf(c_0_31,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk5_0,esk6_0))
| member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk5_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_32,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,intersection(esk5_0,esk6_0)))
| ~ member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,intersection(esk5_0,esk6_0))) ),
inference(spm,[status(thm)],[c_0_27,c_0_11]) ).
cnf(c_0_33,negated_conjecture,
member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk4_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_22]),c_0_29]),c_0_30]) ).
cnf(c_0_34,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk5_0)
| member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk6_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( ~ member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk4_0,intersection(esk5_0,esk6_0)))
| ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)) ),
inference(spm,[status(thm)],[c_0_27,c_0_16]) ).
cnf(c_0_36,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,intersection(esk5_0,esk6_0)))
| ~ member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_22]),c_0_33])]) ).
cnf(c_0_37,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk5_0)
| ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,esk5_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_24]),c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk4_0)
| member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk5_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_26]) ).
cnf(c_0_39,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk5_0)
| member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk5_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_31]) ).
cnf(c_0_40,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,intersection(esk5_0,esk6_0)))
| member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk6_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_15]) ).
cnf(c_0_41,negated_conjecture,
( ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0))
| ~ member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0))
| ~ member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk4_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_22]) ).
cnf(c_0_42,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk5_0,esk6_0))
| ~ member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_17,c_0_36]) ).
cnf(c_0_43,negated_conjecture,
member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk5_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_22]),c_0_38]),c_0_39]) ).
cnf(c_0_44,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk5_0,esk6_0))
| member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk6_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_40]) ).
cnf(c_0_45,negated_conjecture,
( ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0))
| ~ member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_33])]) ).
cnf(c_0_46,negated_conjecture,
member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk5_0,esk6_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_22]),c_0_43])]),c_0_44]) ).
cnf(c_0_47,negated_conjecture,
( ~ member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0))
| ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,esk5_0))
| ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk6_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_22]) ).
cnf(c_0_48,negated_conjecture,
member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk6_0),
inference(spm,[status(thm)],[c_0_17,c_0_46]) ).
cnf(c_0_49,negated_conjecture,
( ~ member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0))
| ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]) ).
cnf(c_0_50,negated_conjecture,
( member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk4_0)
| ~ member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_36]) ).
cnf(c_0_51,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk6_0)
| member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk4_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_40]) ).
cnf(c_0_52,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk6_0)
| ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)) ),
inference(spm,[status(thm)],[c_0_17,c_0_19]) ).
cnf(c_0_53,negated_conjecture,
( ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,esk5_0))
| ~ member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_22]),c_0_43])]) ).
cnf(c_0_54,negated_conjecture,
member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk5_0),
inference(spm,[status(thm)],[c_0_14,c_0_46]) ).
cnf(c_0_55,negated_conjecture,
member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk4_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_22]),c_0_43])]),c_0_51]) ).
cnf(c_0_56,negated_conjecture,
( member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk6_0)
| ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,esk5_0))
| ~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),esk6_0) ),
inference(spm,[status(thm)],[c_0_52,c_0_22]) ).
cnf(c_0_57,negated_conjecture,
~ member(esk1_2(intersection(intersection(esk4_0,esk5_0),esk6_0),intersection(esk4_0,intersection(esk5_0,esk6_0))),esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_22]),c_0_54]),c_0_55])]) ).
cnf(c_0_58,negated_conjecture,
~ member(esk1_2(intersection(esk4_0,intersection(esk5_0,esk6_0)),intersection(intersection(esk4_0,esk5_0),esk6_0)),intersection(esk4_0,esk5_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_48])]),c_0_57]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_22]),c_0_54]),c_0_55])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET143+4 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 9 21:49:08 EDT 2022
% 0.19/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.83/2.39 # ENIGMATIC: Solved by autoschedule:
% 7.83/2.39 # No SInE strategy applied
% 7.83/2.39 # Trying AutoSched0 for 150 seconds
% 7.83/2.39 # AutoSched0-Mode selected heuristic G_E___208_C09_12_F1_SE_CS_SP_PS_S070I
% 7.83/2.39 # and selection function SelectVGNonCR.
% 7.83/2.39 #
% 7.83/2.39 # Preprocessing time : 0.026 s
% 7.83/2.39 # Presaturation interreduction done
% 7.83/2.39
% 7.83/2.39 # Proof found!
% 7.83/2.39 # SZS status Theorem
% 7.83/2.39 # SZS output start CNFRefutation
% See solution above
% 7.83/2.39 # Training examples: 0 positive, 0 negative
% 7.83/2.39
% 7.83/2.39 # -------------------------------------------------
% 7.83/2.39 # User time : 0.104 s
% 7.83/2.39 # System time : 0.007 s
% 7.83/2.39 # Total time : 0.111 s
% 7.83/2.39 # Maximum resident set size: 7124 pages
% 7.83/2.39
%------------------------------------------------------------------------------