TSTP Solution File: SET171+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET171+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 00:10:08 EDT 2022
% Result : Theorem 20.93s 4.10s
% Output : CNFRefutation 20.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 6
% Syntax : Number of formulae : 93 ( 17 unt; 0 def)
% Number of atoms : 217 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 230 ( 106 ~; 107 |; 11 &)
% ( 5 <=>; 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 : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 97 ( 14 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thI11,conjecture,
! [X1,X2,X6] : equal_set(union(X1,intersection(X2,X6)),intersection(union(X1,X2),union(X1,X6))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI11) ).
fof(equal_set,axiom,
! [X1,X2] :
( equal_set(X1,X2)
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(power_set,axiom,
! [X3,X1] :
( member(X3,power_set(X1))
<=> subset(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',power_set) ).
fof(intersection,axiom,
! [X3,X1,X2] :
( member(X3,intersection(X1,X2))
<=> ( member(X3,X1)
& member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',intersection) ).
fof(union,axiom,
! [X3,X1,X2] :
( member(X3,union(X1,X2))
<=> ( member(X3,X1)
| member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',union) ).
fof(c_0_6,negated_conjecture,
~ ! [X1,X2,X6] : equal_set(union(X1,intersection(X2,X6)),intersection(union(X1,X2),union(X1,X6))),
inference(assume_negation,[status(cth)],[thI11]) ).
fof(c_0_7,negated_conjecture,
~ equal_set(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_8,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_9,negated_conjecture,
~ equal_set(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( equal_set(X1,X2)
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_11,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_12,negated_conjecture,
( ~ subset(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0)))
| ~ subset(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_14,plain,
! [X15,X16] :
( ( ~ member(X15,power_set(X16))
| subset(X15,X16) )
& ( ~ subset(X15,X16)
| member(X15,power_set(X16)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[power_set])]) ).
cnf(c_0_15,negated_conjecture,
( ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0)))
| ~ subset(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_16,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_17,plain,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_18,plain,
! [X20,X21,X22] :
( ( ~ member(X20,union(X21,X22))
| member(X20,X21)
| member(X20,X22) )
& ( ~ member(X20,X21)
| member(X20,union(X21,X22)) )
& ( ~ member(X20,X22)
| member(X20,union(X21,X22)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[union])])]) ).
cnf(c_0_19,plain,
( member(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,negated_conjecture,
( ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)))
| ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0))) ),
inference(spm,[status(thm)],[c_0_15,c_0_13]) ).
cnf(c_0_21,plain,
( member(X1,intersection(X2,X3))
| ~ member(X1,X2)
| ~ member(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( member(X1,power_set(X2))
| ~ member(esk1_2(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_13]) ).
cnf(c_0_23,plain,
( member(X1,union(X3,X2))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
( member(esk1_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(spm,[status(thm)],[c_0_17,c_0_19]) ).
cnf(c_0_26,negated_conjecture,
( ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0)))
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk6_0))
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_29,plain,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_30,plain,
( member(X1,power_set(union(X2,X3)))
| ~ member(esk1_2(X1,union(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_31,plain,
( member(esk1_2(intersection(X1,X2),X3),X1)
| member(intersection(X1,X2),power_set(X3)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,negated_conjecture,
( member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0)))
| ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0))) ),
inference(spm,[status(thm)],[c_0_15,c_0_19]) ).
cnf(c_0_33,negated_conjecture,
( ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk6_0))
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk5_0))
| ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk4_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,negated_conjecture,
( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)))
| ~ subset(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))) ),
inference(spm,[status(thm)],[c_0_12,c_0_19]) ).
cnf(c_0_35,plain,
( member(X1,X2)
| ~ member(X3,power_set(X2))
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,plain,
member(intersection(X1,X2),power_set(union(X3,X1))),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_38,negated_conjecture,
( member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0)))
| ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk4_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_27]) ).
cnf(c_0_39,negated_conjecture,
( ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk4_0)
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_27]),c_0_27]) ).
cnf(c_0_40,plain,
( member(X1,X2)
| ~ member(X1,intersection(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_41,negated_conjecture,
( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)))
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))) ),
inference(spm,[status(thm)],[c_0_34,c_0_13]) ).
cnf(c_0_42,plain,
( member(X1,union(X2,X3))
| ~ member(X1,intersection(X3,X4)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,negated_conjecture,
( member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),intersection(esk5_0,esk6_0))
| ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_44,negated_conjecture,
( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,esk6_0))
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,negated_conjecture,
( ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk5_0))
| ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk4_0)
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk6_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_23]) ).
cnf(c_0_46,negated_conjecture,
( member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(X1,esk5_0))
| ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk4_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,negated_conjecture,
( member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk6_0)
| ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk4_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_43]) ).
cnf(c_0_48,negated_conjecture,
( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,esk5_0))
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))) ),
inference(spm,[status(thm)],[c_0_24,c_0_41]) ).
cnf(c_0_49,negated_conjecture,
( ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk6_0))
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk5_0))
| ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_26,c_0_23]) ).
cnf(c_0_50,negated_conjecture,
( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,esk6_0))
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk6_0))
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_44,c_0_21]) ).
cnf(c_0_51,negated_conjecture,
~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk4_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_52,negated_conjecture,
( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,esk5_0))
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk6_0))
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_48,c_0_21]) ).
cnf(c_0_53,negated_conjecture,
( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)))
| member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0))) ),
inference(spm,[status(thm)],[c_0_34,c_0_19]) ).
cnf(c_0_54,negated_conjecture,
( ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0))
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_27]),c_0_27]) ).
cnf(c_0_55,negated_conjecture,
( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk6_0)
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk6_0))
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk5_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_50]),c_0_51]) ).
cnf(c_0_56,negated_conjecture,
( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk5_0)
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk6_0))
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk5_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_52]),c_0_51]) ).
cnf(c_0_57,negated_conjecture,
( member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0)))
| member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_40,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
( ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk4_0)
| ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk6_0)
| ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk5_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_21]) ).
cnf(c_0_59,negated_conjecture,
( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk6_0)
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_27]),c_0_27]) ).
cnf(c_0_60,negated_conjecture,
( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk5_0)
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_27]),c_0_27]) ).
cnf(c_0_61,negated_conjecture,
( member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0)))
| member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_24,c_0_53]) ).
cnf(c_0_62,negated_conjecture,
( member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,intersection(esk5_0,esk6_0)))
| ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_32,c_0_23]) ).
cnf(c_0_63,negated_conjecture,
( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,esk6_0))
| member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),intersection(esk5_0,esk6_0))
| member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk4_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_57]) ).
cnf(c_0_64,negated_conjecture,
~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk4_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
cnf(c_0_65,negated_conjecture,
( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,esk5_0))
| member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),intersection(esk5_0,esk6_0))
| member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk4_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_61]) ).
cnf(c_0_66,negated_conjecture,
( member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),intersection(esk5_0,esk6_0))
| ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_62]),c_0_54]) ).
cnf(c_0_67,negated_conjecture,
( member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),intersection(esk5_0,esk6_0))
| member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,esk6_0)) ),
inference(sr,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_68,negated_conjecture,
( member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),intersection(esk5_0,esk6_0))
| member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),union(esk4_0,esk5_0)) ),
inference(sr,[status(thm)],[c_0_65,c_0_64]) ).
cnf(c_0_69,negated_conjecture,
( member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),intersection(esk5_0,esk6_0))
| ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk6_0)
| ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk5_0) ),
inference(spm,[status(thm)],[c_0_66,c_0_21]) ).
cnf(c_0_70,negated_conjecture,
( member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),intersection(esk5_0,esk6_0))
| member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk6_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_67]),c_0_51]) ).
cnf(c_0_71,negated_conjecture,
( member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),intersection(esk5_0,esk6_0))
| member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk5_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_68]),c_0_51]) ).
cnf(c_0_72,negated_conjecture,
( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk5_0)
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk5_0))
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk6_0) ),
inference(spm,[status(thm)],[c_0_56,c_0_23]) ).
cnf(c_0_73,negated_conjecture,
( member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk5_0)
| ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk6_0)
| ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk5_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_69]) ).
cnf(c_0_74,negated_conjecture,
( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk6_0)
| member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk5_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_70]) ).
cnf(c_0_75,negated_conjecture,
( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk5_0)
| member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk5_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_71]) ).
cnf(c_0_76,negated_conjecture,
( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk5_0)
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk6_0)
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk5_0) ),
inference(spm,[status(thm)],[c_0_72,c_0_23]) ).
cnf(c_0_77,negated_conjecture,
member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk5_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_78,negated_conjecture,
( member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk5_0)
| member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk6_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_71]) ).
cnf(c_0_79,negated_conjecture,
( ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk5_0))
| ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0))
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk6_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_23]) ).
cnf(c_0_80,negated_conjecture,
member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk5_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_77])]),c_0_78]) ).
cnf(c_0_81,plain,
( member(esk1_2(intersection(X1,X2),X3),X2)
| member(intersection(X1,X2),power_set(X3)) ),
inference(spm,[status(thm)],[c_0_40,c_0_25]) ).
cnf(c_0_82,negated_conjecture,
( ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0))
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk6_0)
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk5_0) ),
inference(spm,[status(thm)],[c_0_79,c_0_23]) ).
cnf(c_0_83,negated_conjecture,
member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),intersection(esk5_0,esk6_0)),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_80])]),c_0_70]) ).
cnf(c_0_84,plain,
member(intersection(X1,X2),power_set(union(X3,X2))),
inference(spm,[status(thm)],[c_0_30,c_0_81]) ).
cnf(c_0_85,negated_conjecture,
( ~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0))
| ~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_77])]) ).
cnf(c_0_86,negated_conjecture,
member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),esk6_0),
inference(spm,[status(thm)],[c_0_40,c_0_83]) ).
cnf(c_0_87,plain,
( member(X1,union(X2,X3))
| ~ member(X1,intersection(X4,X3)) ),
inference(spm,[status(thm)],[c_0_35,c_0_84]) ).
cnf(c_0_88,negated_conjecture,
~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),intersection(esk5_0,esk6_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_86])]) ).
cnf(c_0_89,negated_conjecture,
member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(X1,esk6_0)),
inference(spm,[status(thm)],[c_0_87,c_0_83]) ).
cnf(c_0_90,negated_conjecture,
~ member(esk1_2(intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0)),union(esk4_0,intersection(esk5_0,esk6_0))),esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_21]),c_0_80])]) ).
cnf(c_0_91,negated_conjecture,
~ member(esk1_2(union(esk4_0,intersection(esk5_0,esk6_0)),intersection(union(esk4_0,esk5_0),union(esk4_0,esk6_0))),union(esk4_0,esk5_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_89])]),c_0_90]) ).
cnf(c_0_92,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_23]),c_0_77])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET171+4 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.35 % Computer : n027.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 : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 06:36:34 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.47 # ENIGMATIC: Selected SinE mode:
% 0.21/0.48 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.21/0.48 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.21/0.48 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 20.93/4.10 # ENIGMATIC: Solved by autoschedule:
% 20.93/4.10 # No SInE strategy applied
% 20.93/4.10 # Trying AutoSched0 for 150 seconds
% 20.93/4.10 # AutoSched0-Mode selected heuristic G_E___208_C09_12_F1_SE_CS_SP_PS_S070I
% 20.93/4.10 # and selection function SelectVGNonCR.
% 20.93/4.10 #
% 20.93/4.10 # Preprocessing time : 0.026 s
% 20.93/4.10 # Presaturation interreduction done
% 20.93/4.10
% 20.93/4.10 # Proof found!
% 20.93/4.10 # SZS status Theorem
% 20.93/4.10 # SZS output start CNFRefutation
% See solution above
% 20.93/4.10 # Training examples: 0 positive, 0 negative
% 20.93/4.10
% 20.93/4.10 # -------------------------------------------------
% 20.93/4.10 # User time : 1.494 s
% 20.93/4.10 # System time : 0.097 s
% 20.93/4.10 # Total time : 1.591 s
% 20.93/4.10 # Maximum resident set size: 7116 pages
% 20.93/4.10
%------------------------------------------------------------------------------