TSTP Solution File: NUM535+1 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM535+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% 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 : Mon Jul 18 09:33:30 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 70 ( 8 unt; 0 def)
% Number of atoms : 390 ( 70 equ)
% Maximal formula atoms : 54 ( 5 avg)
% Number of connectives : 566 ( 246 ~; 280 |; 29 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 151 ( 5 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mEOfElem) ).
fof(mDefCons,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtpldt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X4 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefCons) ).
fof(m__617_02,hypothesis,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__617_02) ).
fof(m__617,hypothesis,
aSet0(xS),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__617) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefSub) ).
fof(mDefDiff,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( X3 = sdtmndt0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& X4 != X2 ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefDiff) ).
fof(m__,conjecture,
( aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
& aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(c_0_7,plain,
! [X3,X4] :
( ~ aSet0(X3)
| ~ aElementOf0(X4,X3)
| aElement0(X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mEOfElem])])])])]) ).
fof(c_0_8,plain,
! [X5,X6,X7,X8,X8,X7] :
( ( aSet0(X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| X8 = X6
| ~ aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(X8,X5)
| ~ aElement0(X8)
| aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( X8 != X6
| ~ aElement0(X8)
| aElementOf0(X8,X7)
| X7 != sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk2_3(X5,X6,X7),X5)
| ~ aElement0(esk2_3(X5,X6,X7))
| ~ aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( esk2_3(X5,X6,X7) != X6
| ~ aElement0(esk2_3(X5,X6,X7))
| ~ aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk2_3(X5,X6,X7))
| aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk2_3(X5,X6,X7),X5)
| esk2_3(X5,X6,X7) = X6
| aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtpldt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
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)],[mDefCons])])])])])])]) ).
cnf(c_0_9,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,hypothesis,
aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[m__617_02]) ).
cnf(c_0_11,hypothesis,
aSet0(xS),
inference(split_conjunct,[status(thm)],[m__617]) ).
cnf(c_0_12,plain,
( X3 = sdtpldt0(X2,X1)
| aElementOf0(esk2_3(X2,X1,X3),X3)
| esk2_3(X2,X1,X3) = X1
| aElementOf0(esk2_3(X2,X1,X3),X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,hypothesis,
aElement0(xx),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]) ).
cnf(c_0_14,hypothesis,
( esk2_3(X1,xx,X2) = xx
| X2 = sdtpldt0(X1,xx)
| aElementOf0(esk2_3(X1,xx,X2),X2)
| aElementOf0(esk2_3(X1,xx,X2),X1)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,plain,
( aElementOf0(X4,X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,plain,
( X3 = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(esk2_3(X2,X1,X3),X3)
| ~ aElement0(esk2_3(X2,X1,X3))
| ~ aElementOf0(esk2_3(X2,X1,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,hypothesis,
( esk2_3(X1,xx,xS) = xx
| sdtpldt0(X1,xx) = xS
| aElementOf0(esk2_3(X1,xx,xS),xS)
| aElementOf0(esk2_3(X1,xx,xS),X1)
| ~ aSet0(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
fof(c_0_18,plain,
! [X4,X5,X6,X5] :
( ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk1_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk1_2(X4,X5),X4)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) ) ),
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)],[mDefSub])])])])])])]) ).
cnf(c_0_19,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X4)
| ~ aElementOf0(X1,X3)
| ~ aElement0(X4)
| ~ aSet0(X3) ),
inference(csr,[status(thm)],[c_0_15,c_0_9]) ).
cnf(c_0_20,plain,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,plain,
( X3 = sdtpldt0(X2,X1)
| ~ aElement0(X1)
| ~ aSet0(X2)
| ~ aSet0(X3)
| ~ aElementOf0(esk2_3(X2,X1,X3),X3)
| ~ aElement0(esk2_3(X2,X1,X3))
| esk2_3(X2,X1,X3) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_22,plain,
( X1 = sdtpldt0(X2,X3)
| ~ aElementOf0(esk2_3(X2,X3,X1),X1)
| ~ aElementOf0(esk2_3(X2,X3,X1),X2)
| ~ aElement0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[c_0_16,c_0_9]) ).
cnf(c_0_23,hypothesis,
( esk2_3(xS,xx,xS) = xx
| sdtpldt0(xS,xx) = xS
| aElementOf0(esk2_3(xS,xx,xS),xS) ),
inference(spm,[status(thm)],[c_0_17,c_0_11]) ).
cnf(c_0_24,plain,
( aSubsetOf0(X2,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| ~ aElementOf0(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
( aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
( aSet0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
( X1 = sdtpldt0(X2,X3)
| esk2_3(X2,X3,X1) != X3
| ~ aElementOf0(esk2_3(X2,X3,X1),X1)
| ~ aElement0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[c_0_21,c_0_9]) ).
cnf(c_0_28,hypothesis,
( esk2_3(xS,xx,xS) = xx
| sdtpldt0(xS,xx) = xS ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_13]),c_0_11])]),c_0_23]) ).
cnf(c_0_29,plain,
( X4 = X1
| aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_30,plain,
( aSubsetOf0(X1,sdtpldt0(X2,X3))
| ~ aElementOf0(esk1_2(sdtpldt0(X2,X3),X1),X2)
| ~ aElement0(X3)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_31,hypothesis,
sdtpldt0(xS,xx) = xS,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_10]),c_0_13]),c_0_11])]) ).
cnf(c_0_32,plain,
( X1 = X2
| aElementOf0(X2,X3)
| ~ aElementOf0(X2,sdtpldt0(X3,X1))
| ~ aElement0(X1)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_29]) ).
cnf(c_0_33,plain,
( aSubsetOf0(X2,X1)
| aElementOf0(esk1_2(X1,X2),X2)
| ~ aSet0(X1)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_34,plain,
( aElement0(X4)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_35,hypothesis,
( aSubsetOf0(X1,xS)
| ~ aElementOf0(esk1_2(xS,X1),xS)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_13]),c_0_11])]) ).
cnf(c_0_36,plain,
( esk1_2(X1,sdtpldt0(X2,X3)) = X3
| aSubsetOf0(sdtpldt0(X2,X3),X1)
| aElementOf0(esk1_2(X1,sdtpldt0(X2,X3)),X2)
| ~ aElement0(X3)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_26]) ).
cnf(c_0_37,plain,
( aElement0(X1)
| ~ aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_34]) ).
fof(c_0_38,plain,
! [X5,X6,X7,X8,X8,X7] :
( ( aSet0(X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( X8 != X6
| ~ aElementOf0(X8,X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| X8 = X6
| aElementOf0(X8,X7)
| X7 != sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk3_3(X5,X6,X7),X7)
| ~ aElement0(esk3_3(X5,X6,X7))
| ~ aElementOf0(esk3_3(X5,X6,X7),X5)
| esk3_3(X5,X6,X7) = X6
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk3_3(X5,X6,X7))
| aElementOf0(esk3_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk3_3(X5,X6,X7),X5)
| aElementOf0(esk3_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( esk3_3(X5,X6,X7) != X6
| aElementOf0(esk3_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
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)],[mDefDiff])])])])])])]) ).
cnf(c_0_39,hypothesis,
( esk1_2(xS,sdtpldt0(xS,X1)) = X1
| aSubsetOf0(sdtpldt0(xS,X1),xS)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(xS,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_11])]) ).
cnf(c_0_40,hypothesis,
( aElement0(X1)
| ~ aElementOf0(X1,xS) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_31]),c_0_13]),c_0_11])]) ).
cnf(c_0_41,plain,
( aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_42,plain,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_43,plain,
( aElementOf0(X4,X3)
| X4 = X1
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X2)
| ~ aElement0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,plain,
( aElementOf0(X3,X1)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1)
| ~ aElementOf0(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_45,hypothesis,
( aSubsetOf0(sdtpldt0(xS,X1),xS)
| ~ aElementOf0(X1,xS)
| ~ aSet0(sdtpldt0(xS,X1)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_39]),c_0_11])]),c_0_40]) ).
cnf(c_0_46,plain,
( aElementOf0(X1,X2)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aElement0(X3)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_47,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_42]) ).
cnf(c_0_48,plain,
( X1 = X2
| aElementOf0(X2,X3)
| X3 != sdtmndt0(X4,X1)
| ~ aElementOf0(X2,X4)
| ~ aElement0(X1)
| ~ aSet0(X4) ),
inference(csr,[status(thm)],[c_0_43,c_0_9]) ).
cnf(c_0_49,hypothesis,
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtpldt0(xS,X2))
| ~ aElementOf0(X2,xS)
| ~ aSet0(sdtpldt0(xS,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_11])]) ).
fof(c_0_50,negated_conjecture,
~ ( aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
& aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_51,plain,
( esk1_2(X1,sdtpldt0(sdtmndt0(X2,X3),X4)) = X4
| aSubsetOf0(sdtpldt0(sdtmndt0(X2,X3),X4),X1)
| aElementOf0(esk1_2(X1,sdtpldt0(sdtmndt0(X2,X3),X4)),X2)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_36]),c_0_47]) ).
cnf(c_0_52,plain,
( X1 = X2
| aElementOf0(X2,sdtmndt0(X3,X1))
| ~ aElementOf0(X2,X3)
| ~ aElement0(X1)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_48]) ).
cnf(c_0_53,hypothesis,
( aSubsetOf0(sdtpldt0(xS,X1),X2)
| aElementOf0(esk1_2(X2,sdtpldt0(xS,X1)),xS)
| ~ aElementOf0(X1,xS)
| ~ aSet0(sdtpldt0(xS,X1))
| ~ aSet0(X2) ),
inference(spm,[status(thm)],[c_0_49,c_0_33]) ).
fof(c_0_54,negated_conjecture,
( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
inference(fof_nnf,[status(thm)],[c_0_50]) ).
cnf(c_0_55,hypothesis,
( esk1_2(xS,sdtpldt0(sdtmndt0(xS,X1),X2)) = X2
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,X1),X2),xS)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,X1),X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_51]),c_0_11])]) ).
cnf(c_0_56,plain,
( esk1_2(sdtpldt0(sdtmndt0(X1,X2),X3),X4) = X2
| aSubsetOf0(X4,sdtpldt0(sdtmndt0(X1,X2),X3))
| ~ aElementOf0(esk1_2(sdtpldt0(sdtmndt0(X1,X2),X3),X4),X1)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aSet0(X4)
| ~ aSet0(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_52]),c_0_47]) ).
cnf(c_0_57,hypothesis,
( aSubsetOf0(xS,X1)
| aElementOf0(esk1_2(X1,xS),xS)
| ~ aSet0(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_31]),c_0_10]),c_0_11])]) ).
cnf(c_0_58,negated_conjecture,
( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,hypothesis,
( aSubsetOf0(sdtpldt0(sdtmndt0(xS,X1),X2),xS)
| ~ aElementOf0(X2,xS)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,X1),X2)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_55]),c_0_11])]),c_0_40]) ).
cnf(c_0_60,hypothesis,
( esk1_2(sdtpldt0(sdtmndt0(xS,X1),X2),xS) = X1
| aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,X1),X2))
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,X1),X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_11])]) ).
cnf(c_0_61,plain,
( aElementOf0(X4,X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElement0(X4)
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_62,negated_conjecture,
( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_10]),c_0_13])]) ).
cnf(c_0_63,hypothesis,
( aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,X1),X2))
| ~ aElementOf0(X1,sdtpldt0(sdtmndt0(xS,X1),X2))
| ~ aElement0(X2)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,X1),X2)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_60]),c_0_11])]),c_0_9]) ).
cnf(c_0_64,plain,
( aElementOf0(X1,X2)
| X2 != sdtpldt0(X3,X1)
| ~ aElement0(X1)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[c_0_61]) ).
cnf(c_0_65,negated_conjecture,
( ~ aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_13])]) ).
cnf(c_0_66,plain,
( aElementOf0(X1,sdtpldt0(X2,X1))
| ~ aElement0(X1)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_64]) ).
cnf(c_0_67,negated_conjecture,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(xS,xx)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_13])]) ).
cnf(c_0_68,negated_conjecture,
~ aSet0(sdtmndt0(xS,xx)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_26]),c_0_13])]) ).
cnf(c_0_69,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_47]),c_0_13]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM535+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jul 7 10:37:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.016 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 70
% 0.23/1.41 # Proof object clause steps : 57
% 0.23/1.41 # Proof object formula steps : 13
% 0.23/1.41 # Proof object conjectures : 9
% 0.23/1.41 # Proof object clause conjectures : 6
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 18
% 0.23/1.41 # Proof object initial formulas used : 7
% 0.23/1.41 # Proof object generating inferences : 34
% 0.23/1.41 # Proof object simplifying inferences : 57
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 19
% 0.23/1.41 # Removed by relevancy pruning/SinE : 7
% 0.23/1.41 # Initial clauses : 31
% 0.23/1.41 # Removed in clause preprocessing : 2
% 0.23/1.41 # Initial clauses in saturation : 29
% 0.23/1.41 # Processed clauses : 1004
% 0.23/1.41 # ...of these trivial : 27
% 0.23/1.41 # ...subsumed : 535
% 0.23/1.41 # ...remaining for further processing : 442
% 0.23/1.41 # Other redundant clauses eliminated : 7
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 62
% 0.23/1.41 # Backward-rewritten : 7
% 0.23/1.41 # Generated clauses : 4645
% 0.23/1.41 # ...of the previous two non-trivial : 4130
% 0.23/1.41 # Contextual simplify-reflections : 1030
% 0.23/1.41 # Paramodulations : 4615
% 0.23/1.41 # Factorizations : 3
% 0.23/1.41 # Equation resolutions : 21
% 0.23/1.41 # Current number of processed clauses : 365
% 0.23/1.41 # Positive orientable unit clauses : 6
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 4
% 0.23/1.41 # Non-unit-clauses : 355
% 0.23/1.41 # Current number of unprocessed clauses: 2664
% 0.23/1.41 # ...number of literals in the above : 22306
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 75
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 61946
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 8944
% 0.23/1.41 # Non-unit clause-clause subsumptions : 1588
% 0.23/1.41 # Unit Clause-clause subsumption calls : 249
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 3
% 0.23/1.41 # BW rewrite match successes : 2
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 137273
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.193 s
% 0.23/1.41 # System time : 0.006 s
% 0.23/1.41 # Total time : 0.199 s
% 0.23/1.41 # Maximum resident set size: 7012 pages
% 0.25/23.43 eprover: CPU time limit exceeded, terminating
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------