TSTP Solution File: SET159+4 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET159+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 19:18:42 EDT 2023
% Result : Theorem 6.01s 1.21s
% Output : CNFRefutation 6.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 74 ( 14 unt; 0 def)
% Number of atoms : 161 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 183 ( 96 ~; 74 |; 8 &)
% ( 4 <=>; 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 2 sgn; 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thI09,conjecture,
! [X1,X2,X6] : equal_set(union(union(X1,X2),X6),union(X1,union(X2,X6))),
file('/export/starexec/sandbox2/tmp/tmp.Wd6d20I0A5/E---3.1_4695.p',thI09) ).
fof(equal_set,axiom,
! [X1,X2] :
( equal_set(X1,X2)
<=> ( subset(X1,X2)
& subset(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Wd6d20I0A5/E---3.1_4695.p',equal_set) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Wd6d20I0A5/E---3.1_4695.p',subset) ).
fof(union,axiom,
! [X3,X1,X2] :
( member(X3,union(X1,X2))
<=> ( member(X3,X1)
| member(X3,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Wd6d20I0A5/E---3.1_4695.p',union) ).
fof(power_set,axiom,
! [X3,X1] :
( member(X3,power_set(X1))
<=> subset(X3,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.Wd6d20I0A5/E---3.1_4695.p',power_set) ).
fof(c_0_5,negated_conjecture,
~ ! [X1,X2,X6] : equal_set(union(union(X1,X2),X6),union(X1,union(X2,X6))),
inference(assume_negation,[status(cth)],[thI09]) ).
fof(c_0_6,negated_conjecture,
~ equal_set(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_7,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_8,negated_conjecture,
~ equal_set(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( equal_set(X1,X2)
| ~ subset(X1,X2)
| ~ subset(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,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_11,negated_conjecture,
( ~ subset(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0))
| ~ subset(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,union(esk5_0,esk6_0)))
| ~ subset(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_14,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_15,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,union(esk5_0,esk6_0)))
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(union(esk4_0,esk5_0),esk6_0)) ),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_16,plain,
( member(X1,union(X3,X2))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,plain,
( member(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,negated_conjecture,
( ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(union(esk4_0,esk5_0),esk6_0))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
( member(X1,union(X2,X3))
| ~ member(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_20,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_21,negated_conjecture,
( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,union(esk5_0,esk6_0)))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,union(esk5_0,esk6_0))) ),
inference(spm,[status(thm)],[c_0_13,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk5_0,esk6_0))
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_24,plain,
( member(X1,X2)
| member(X1,X3)
| ~ member(X1,union(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_25,negated_conjecture,
( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,union(esk5_0,esk6_0)))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_21,c_0_16]) ).
cnf(c_0_26,negated_conjecture,
( ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,esk5_0))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_16]) ).
cnf(c_0_27,negated_conjecture,
( ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(union(esk4_0,esk5_0),esk6_0))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_19]) ).
cnf(c_0_28,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,union(esk5_0,esk6_0)))
| ~ member(union(esk4_0,union(esk5_0,esk6_0)),power_set(union(union(esk4_0,esk5_0),esk6_0))) ),
inference(spm,[status(thm)],[c_0_13,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(union(esk4_0,esk5_0),esk6_0))
| ~ subset(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)) ),
inference(spm,[status(thm)],[c_0_11,c_0_17]) ).
cnf(c_0_30,negated_conjecture,
( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk5_0,esk6_0))
| member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk4_0)
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk5_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0)
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk4_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_19]) ).
cnf(c_0_32,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk5_0,esk6_0))
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk6_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_33,negated_conjecture,
( ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,esk5_0))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk5_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_19]) ).
cnf(c_0_34,negated_conjecture,
( ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,esk5_0))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_19]) ).
cnf(c_0_35,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk5_0,esk6_0))
| ~ member(union(esk4_0,union(esk5_0,esk6_0)),power_set(union(union(esk4_0,esk5_0),esk6_0))) ),
inference(spm,[status(thm)],[c_0_28,c_0_16]) ).
cnf(c_0_36,negated_conjecture,
( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(union(esk4_0,esk5_0),esk6_0))
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(union(esk4_0,esk5_0),esk6_0)) ),
inference(spm,[status(thm)],[c_0_29,c_0_12]) ).
cnf(c_0_37,negated_conjecture,
( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk5_0,esk6_0))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_16]),c_0_31]) ).
cnf(c_0_38,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0)
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk5_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_16]) ).
cnf(c_0_39,negated_conjecture,
( ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk6_0)
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_16]) ).
cnf(c_0_40,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk5_0)
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk4_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_19]) ).
cnf(c_0_41,negated_conjecture,
( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,union(esk5_0,esk6_0)))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_19]) ).
cnf(c_0_42,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0)
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk4_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_19]) ).
cnf(c_0_43,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_44,plain,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_45,negated_conjecture,
( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(union(esk4_0,esk5_0),esk6_0))
| ~ member(union(esk4_0,union(esk5_0,esk6_0)),power_set(union(union(esk4_0,esk5_0),esk6_0))) ),
inference(spm,[status(thm)],[c_0_29,c_0_23]) ).
cnf(c_0_46,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0)
| ~ member(union(esk4_0,union(esk5_0,esk6_0)),power_set(union(union(esk4_0,esk5_0),esk6_0))) ),
inference(spm,[status(thm)],[c_0_35,c_0_16]) ).
cnf(c_0_47,negated_conjecture,
( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,esk5_0))
| member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0)
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(union(esk4_0,esk5_0),esk6_0)) ),
inference(spm,[status(thm)],[c_0_24,c_0_36]) ).
cnf(c_0_48,negated_conjecture,
~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk6_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_37]),c_0_38]),c_0_39]) ).
cnf(c_0_49,negated_conjecture,
( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk5_0,esk6_0))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_19]),c_0_40]) ).
cnf(c_0_50,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk5_0)
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk5_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_16]) ).
cnf(c_0_51,negated_conjecture,
( ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk6_0)
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk5_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_19]) ).
cnf(c_0_52,negated_conjecture,
( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk5_0,esk6_0))
| ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_41]),c_0_42]) ).
cnf(c_0_53,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0)
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk5_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_16]) ).
cnf(c_0_54,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0)
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk6_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_16]) ).
cnf(c_0_55,plain,
( member(esk1_2(X1,X2),X1)
| member(X3,X2)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_17]) ).
cnf(c_0_56,plain,
( member(esk1_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(spm,[status(thm)],[c_0_44,c_0_17]) ).
cnf(c_0_57,negated_conjecture,
( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,esk5_0))
| ~ member(union(esk4_0,union(esk5_0,esk6_0)),power_set(union(union(esk4_0,esk5_0),esk6_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_45]),c_0_46]) ).
cnf(c_0_58,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0)
| ~ member(union(esk4_0,union(esk5_0,esk6_0)),power_set(union(union(esk4_0,esk5_0),esk6_0))) ),
inference(spm,[status(thm)],[c_0_28,c_0_19]) ).
cnf(c_0_59,negated_conjecture,
( ~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk5_0)
| ~ member(union(esk4_0,union(esk5_0,esk6_0)),power_set(union(union(esk4_0,esk5_0),esk6_0))) ),
inference(spm,[status(thm)],[c_0_35,c_0_19]) ).
cnf(c_0_60,negated_conjecture,
( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,esk5_0))
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,esk5_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_19]),c_0_48]) ).
cnf(c_0_61,negated_conjecture,
~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk5_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_49]),c_0_50]),c_0_51]) ).
cnf(c_0_62,negated_conjecture,
~ member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),esk4_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_52]),c_0_53]),c_0_54]) ).
cnf(c_0_63,plain,
( member(esk1_2(X1,X2),X3)
| member(esk1_2(X1,X3),X1)
| member(X1,power_set(X2)) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_64,negated_conjecture,
~ member(union(esk4_0,union(esk5_0,esk6_0)),power_set(union(union(esk4_0,esk5_0),esk6_0))),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_57]),c_0_58]),c_0_59]) ).
cnf(c_0_65,negated_conjecture,
~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,esk5_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_60]),c_0_61]),c_0_62]) ).
cnf(c_0_66,negated_conjecture,
( member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk4_0,union(esk5_0,esk6_0)))
| member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,esk5_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_63]),c_0_48]),c_0_64]) ).
cnf(c_0_67,negated_conjecture,
~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk4_0),
inference(spm,[status(thm)],[c_0_65,c_0_19]) ).
cnf(c_0_68,negated_conjecture,
( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,esk5_0))
| member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk5_0,esk6_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_66]),c_0_67]) ).
cnf(c_0_69,negated_conjecture,
( member(esk1_2(union(union(esk4_0,esk5_0),esk6_0),union(esk4_0,union(esk5_0,esk6_0))),union(esk4_0,esk5_0))
| ~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk6_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_16]),c_0_48]) ).
cnf(c_0_70,negated_conjecture,
member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),union(esk5_0,esk6_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_68]),c_0_61]),c_0_62]) ).
cnf(c_0_71,negated_conjecture,
~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk6_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_69]),c_0_61]),c_0_62]) ).
cnf(c_0_72,negated_conjecture,
~ member(esk1_2(union(esk4_0,union(esk5_0,esk6_0)),union(union(esk4_0,esk5_0),esk6_0)),esk5_0),
inference(spm,[status(thm)],[c_0_65,c_0_16]) ).
cnf(c_0_73,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_70]),c_0_71]),c_0_72]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SET159+4 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n017.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 17:14:11 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.Wd6d20I0A5/E---3.1_4695.p
% 6.01/1.21 # Version: 3.1pre001
% 6.01/1.21 # Preprocessing class: FSMSSMSSSSSNFFN.
% 6.01/1.21 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.01/1.21 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.01/1.21 # Starting new_bool_3 with 300s (1) cores
% 6.01/1.21 # Starting new_bool_1 with 300s (1) cores
% 6.01/1.21 # Starting sh5l with 300s (1) cores
% 6.01/1.21 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4774 completed with status 0
% 6.01/1.21 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 6.01/1.21 # Preprocessing class: FSMSSMSSSSSNFFN.
% 6.01/1.21 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.01/1.21 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.01/1.21 # No SInE strategy applied
% 6.01/1.21 # Search class: FGHSF-FFMF21-SFFFFFNN
% 6.01/1.21 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 6.01/1.21 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 811s (1) cores
% 6.01/1.21 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 6.01/1.21 # Starting new_bool_3 with 136s (1) cores
% 6.01/1.21 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S033N with 136s (1) cores
% 6.01/1.21 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S05BI with 136s (1) cores
% 6.01/1.21 # 208_C09_12_F1_SE_CS_SP_PS_S070I with pid 4781 completed with status 0
% 6.01/1.21 # Result found by 208_C09_12_F1_SE_CS_SP_PS_S070I
% 6.01/1.21 # Preprocessing class: FSMSSMSSSSSNFFN.
% 6.01/1.21 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.01/1.21 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 6.01/1.21 # No SInE strategy applied
% 6.01/1.21 # Search class: FGHSF-FFMF21-SFFFFFNN
% 6.01/1.21 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 6.01/1.21 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 811s (1) cores
% 6.01/1.21 # Preprocessing time : 0.001 s
% 6.01/1.21 # Presaturation interreduction done
% 6.01/1.21
% 6.01/1.21 # Proof found!
% 6.01/1.21 # SZS status Theorem
% 6.01/1.21 # SZS output start CNFRefutation
% See solution above
% 6.01/1.21 # Parsed axioms : 12
% 6.01/1.21 # Removed by relevancy pruning/SinE : 0
% 6.01/1.21 # Initial clauses : 30
% 6.01/1.21 # Removed in clause preprocessing : 0
% 6.01/1.21 # Initial clauses in saturation : 30
% 6.01/1.21 # Processed clauses : 2237
% 6.01/1.21 # ...of these trivial : 724
% 6.01/1.21 # ...subsumed : 546
% 6.01/1.21 # ...remaining for further processing : 967
% 6.01/1.21 # Other redundant clauses eliminated : 3
% 6.01/1.21 # Clauses deleted for lack of memory : 0
% 6.01/1.21 # Backward-subsumed : 46
% 6.01/1.21 # Backward-rewritten : 56
% 6.01/1.21 # Generated clauses : 58643
% 6.01/1.21 # ...of the previous two non-redundant : 56895
% 6.01/1.21 # ...aggressively subsumed : 0
% 6.01/1.21 # Contextual simplify-reflections : 15
% 6.01/1.21 # Paramodulations : 58632
% 6.01/1.21 # Factorizations : 8
% 6.01/1.21 # NegExts : 0
% 6.01/1.21 # Equation resolutions : 3
% 6.01/1.21 # Total rewrite steps : 2598
% 6.01/1.21 # Propositional unsat checks : 0
% 6.01/1.21 # Propositional check models : 0
% 6.01/1.21 # Propositional check unsatisfiable : 0
% 6.01/1.21 # Propositional clauses : 0
% 6.01/1.21 # Propositional clauses after purity: 0
% 6.01/1.21 # Propositional unsat core size : 0
% 6.01/1.21 # Propositional preprocessing time : 0.000
% 6.01/1.21 # Propositional encoding time : 0.000
% 6.01/1.21 # Propositional solver time : 0.000
% 6.01/1.21 # Success case prop preproc time : 0.000
% 6.01/1.21 # Success case prop encoding time : 0.000
% 6.01/1.21 # Success case prop solver time : 0.000
% 6.01/1.21 # Current number of processed clauses : 832
% 6.01/1.21 # Positive orientable unit clauses : 152
% 6.01/1.21 # Positive unorientable unit clauses: 0
% 6.01/1.21 # Negative unit clauses : 11
% 6.01/1.21 # Non-unit-clauses : 669
% 6.01/1.21 # Current number of unprocessed clauses: 53672
% 6.01/1.21 # ...number of literals in the above : 100568
% 6.01/1.21 # Current number of archived formulas : 0
% 6.01/1.21 # Current number of archived clauses : 132
% 6.01/1.21 # Clause-clause subsumption calls (NU) : 251461
% 6.01/1.21 # Rec. Clause-clause subsumption calls : 201309
% 6.01/1.21 # Non-unit clause-clause subsumptions : 525
% 6.01/1.21 # Unit Clause-clause subsumption calls : 7419
% 6.01/1.21 # Rewrite failures with RHS unbound : 0
% 6.01/1.21 # BW rewrite match attempts : 1054
% 6.01/1.21 # BW rewrite match successes : 54
% 6.01/1.21 # Condensation attempts : 0
% 6.01/1.21 # Condensation successes : 0
% 6.01/1.21 # Termbank termtop insertions : 808901
% 6.01/1.21
% 6.01/1.21 # -------------------------------------------------
% 6.01/1.21 # User time : 0.702 s
% 6.01/1.21 # System time : 0.048 s
% 6.01/1.21 # Total time : 0.750 s
% 6.01/1.21 # Maximum resident set size: 1764 pages
% 6.01/1.21
% 6.01/1.21 # -------------------------------------------------
% 6.01/1.21 # User time : 3.612 s
% 6.01/1.21 # System time : 0.158 s
% 6.01/1.21 # Total time : 3.770 s
% 6.01/1.21 # Maximum resident set size: 1684 pages
% 6.01/1.21 % E---3.1 exiting
% 6.01/1.21 % E---3.1 exiting
%------------------------------------------------------------------------------