TSTP Solution File: NUM574+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM574+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 09:33:57 EDT 2022
% Result : Theorem 0.24s 1.41s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of formulae : 72 ( 21 unt; 0 def)
% Number of atoms : 239 ( 59 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 274 ( 107 ~; 111 |; 34 &)
% ( 5 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 61 ( 3 sgn 36 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( sdtlseqdt0(xj,xi)
=> aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(mDefSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( X2 = slbdtrb0(X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElementOf0(X3,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefSeg) ).
fof(mSegLess,axiom,
! [X1,X2] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X2,szNzAzT0) )
=> ( sdtlseqdt0(X1,X2)
<=> aSubsetOf0(slbdtrb0(X1),slbdtrb0(X2)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSegLess) ).
fof(mCardEmpty,axiom,
! [X1] :
( aSet0(X1)
=> ( sbrdtbr0(X1) = sz00
<=> X1 = slcrc0 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mCardEmpty) ).
fof(mCardSeg,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sbrdtbr0(slbdtrb0(X1)) = X1 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mCardSeg) ).
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(m__3786,hypothesis,
( aElementOf0(xj,szNzAzT0)
& aElementOf0(xi,szNzAzT0) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__3786) ).
fof(mSubASymm,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aSet0(X2) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X2,X1) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSubASymm) ).
fof(m__3786_02,hypothesis,
( ( sdtlseqdt0(xj,xi)
& ? [X1] :
( aElementOf0(X1,szNzAzT0)
& szszuzczcdt0(X1) = xi ) )
=> ( sdtlseqdt0(xj,xi)
=> aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__3786_02) ).
fof(mZeroLess,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlseqdt0(sz00,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mZeroLess) ).
fof(mSegZero,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSegZero) ).
fof(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mZeroNum) ).
fof(mNatExtra,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( X1 = sz00
| ? [X2] :
( aElementOf0(X2,szNzAzT0)
& X1 = szszuzczcdt0(X2) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mNatExtra) ).
fof(m__3623,hypothesis,
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) )
=> ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X1))) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__3623) ).
fof(mSubRefl,axiom,
! [X1] :
( aSet0(X1)
=> aSubsetOf0(X1,X1) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mSubRefl) ).
fof(m__3435,hypothesis,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__3435) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mNATSet) ).
fof(c_0_17,negated_conjecture,
~ ( sdtlseqdt0(xj,xi)
=> aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c_0_18,plain,
! [X4,X5,X6,X6,X5] :
( ( aSet0(X5)
| X5 != slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( aElementOf0(X6,szNzAzT0)
| ~ aElementOf0(X6,X5)
| X5 != slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(X6),X4)
| ~ aElementOf0(X6,X5)
| X5 != slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(X6,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X6),X4)
| aElementOf0(X6,X5)
| X5 != slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aElementOf0(esk17_2(X4,X5),X5)
| ~ aElementOf0(esk17_2(X4,X5),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(esk17_2(X4,X5)),X4)
| ~ aSet0(X5)
| X5 = slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( aElementOf0(esk17_2(X4,X5),szNzAzT0)
| aElementOf0(esk17_2(X4,X5),X5)
| ~ aSet0(X5)
| X5 = slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) )
& ( sdtlseqdt0(szszuzczcdt0(esk17_2(X4,X5)),X4)
| aElementOf0(esk17_2(X4,X5),X5)
| ~ aSet0(X5)
| X5 = slbdtrb0(X4)
| ~ aElementOf0(X4,szNzAzT0) ) ),
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)],[mDefSeg])])])])])])]) ).
fof(c_0_19,plain,
! [X3,X4] :
( ( ~ sdtlseqdt0(X3,X4)
| aSubsetOf0(slbdtrb0(X3),slbdtrb0(X4))
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0) )
& ( ~ aSubsetOf0(slbdtrb0(X3),slbdtrb0(X4))
| sdtlseqdt0(X3,X4)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X4,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSegLess])])]) ).
fof(c_0_20,negated_conjecture,
( sdtlseqdt0(xj,xi)
& ~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
inference(fof_nnf,[status(thm)],[c_0_17]) ).
fof(c_0_21,plain,
! [X2] :
( ( sbrdtbr0(X2) != sz00
| X2 = slcrc0
| ~ aSet0(X2) )
& ( X2 != slcrc0
| sbrdtbr0(X2) = sz00
| ~ aSet0(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardEmpty])])]) ).
fof(c_0_22,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| sbrdtbr0(slbdtrb0(X2)) = X2 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mCardSeg])]) ).
cnf(c_0_23,plain,
( aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0)
| X2 != slbdtrb0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_24,plain,
! [X4,X5,X6,X5] :
( ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk3_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk3_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_25,plain,
( aSubsetOf0(slbdtrb0(X2),slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ sdtlseqdt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
sdtlseqdt0(xj,xi),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,hypothesis,
aElementOf0(xj,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3786]) ).
cnf(c_0_28,hypothesis,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3786]) ).
fof(c_0_29,plain,
! [X3,X4] :
( ~ aSet0(X3)
| ~ aSet0(X4)
| ~ aSubsetOf0(X3,X4)
| ~ aSubsetOf0(X4,X3)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubASymm])]) ).
cnf(c_0_30,plain,
( X1 = slcrc0
| ~ aSet0(X1)
| sbrdtbr0(X1) != sz00 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,plain,
( sbrdtbr0(slbdtrb0(X1)) = X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,plain,
( aSet0(slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(er,[status(thm)],[c_0_23]) ).
cnf(c_0_33,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_34,negated_conjecture,
aSubsetOf0(slbdtrb0(xj),slbdtrb0(xi)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28])]) ).
fof(c_0_35,hypothesis,
! [X2] :
( ~ sdtlseqdt0(xj,xi)
| ~ aElementOf0(X2,szNzAzT0)
| szszuzczcdt0(X2) != xi
| ~ sdtlseqdt0(xj,xi)
| aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)) ),
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)],[m__3786_02])])])])]) ).
cnf(c_0_36,plain,
( X1 = X2
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
( slbdtrb0(X1) = slcrc0
| X1 != sz00
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( aSet0(slbdtrb0(xj))
| ~ aSet0(slbdtrb0(xi)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_39,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| sdtlseqdt0(sz00,X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mZeroLess])]) ).
cnf(c_0_40,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
| ~ sdtlseqdt0(xj,xi)
| szszuzczcdt0(X1) != xi
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(xj,xi) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,plain,
( X1 = X2
| ~ aSubsetOf0(X2,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[c_0_36,c_0_33]) ).
cnf(c_0_42,negated_conjecture,
( aSubsetOf0(slbdtrb0(xj),slcrc0)
| sz00 != xi ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_37]),c_0_28])]) ).
cnf(c_0_43,negated_conjecture,
aSet0(slbdtrb0(xj)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_32]),c_0_28])]) ).
cnf(c_0_44,plain,
( sdtlseqdt0(sz00,X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_45,plain,
slbdtrb0(sz00) = slcrc0,
inference(split_conjunct,[status(thm)],[mSegZero]) ).
cnf(c_0_46,plain,
aElementOf0(sz00,szNzAzT0),
inference(split_conjunct,[status(thm)],[mZeroNum]) ).
cnf(c_0_47,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj))
| szszuzczcdt0(X1) != xi
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(xj,xi) ),
inference(cn,[status(thm)],[c_0_40]) ).
cnf(c_0_48,negated_conjecture,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),sdtlpdtrp0(xN,xj)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_49,plain,
! [X3] :
( ( aElementOf0(esk11_1(X3),szNzAzT0)
| X3 = sz00
| ~ aElementOf0(X3,szNzAzT0) )
& ( X3 = szszuzczcdt0(esk11_1(X3))
| X3 = sz00
| ~ aElementOf0(X3,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mNatExtra])])])])])]) ).
cnf(c_0_50,negated_conjecture,
( slbdtrb0(xj) = slcrc0
| sz00 != xi
| ~ aSubsetOf0(slcrc0,slbdtrb0(xj)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_51,plain,
( aSubsetOf0(slcrc0,slbdtrb0(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_44]),c_0_45]),c_0_46])]) ).
cnf(c_0_52,hypothesis,
( szszuzczcdt0(X1) != xi
| ~ aElementOf0(X1,szNzAzT0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_26])]),c_0_48]) ).
cnf(c_0_53,plain,
( X1 = sz00
| X1 = szszuzczcdt0(esk11_1(X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_54,plain,
( X1 = sz00
| aElementOf0(esk11_1(X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_55,negated_conjecture,
( slbdtrb0(xj) = slcrc0
| sz00 != xi ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_27])]) ).
cnf(c_0_56,plain,
sbrdtbr0(slcrc0) = sz00,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_45]),c_0_46])]) ).
cnf(c_0_57,hypothesis,
( X1 = sz00
| X1 != xi
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
cnf(c_0_58,negated_conjecture,
( sz00 = xj
| sz00 != xi ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_55]),c_0_56]),c_0_27])]) ).
cnf(c_0_59,hypothesis,
sz00 = xi,
inference(spm,[status(thm)],[c_0_57,c_0_28]) ).
fof(c_0_60,hypothesis,
! [X2] :
( aFunction0(xN)
& szDzozmdt0(xN) = szNzAzT0
& sdtlpdtrp0(xN,sz00) = xS
& ( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X2)),sdtmndt0(sdtlpdtrp0(xN,X2),szmzizndt0(sdtlpdtrp0(xN,X2))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X2)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ) ),
inference(distribute,[status(thm)],[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)],[m__3623])])])])])]) ).
cnf(c_0_61,negated_conjecture,
xi = xj,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59]),c_0_59])]) ).
cnf(c_0_62,hypothesis,
sdtlpdtrp0(xN,sz00) = xS,
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_63,negated_conjecture,
~ aSubsetOf0(sdtlpdtrp0(xN,xj),sdtlpdtrp0(xN,xj)),
inference(rw,[status(thm)],[c_0_48,c_0_61]) ).
cnf(c_0_64,hypothesis,
sdtlpdtrp0(xN,xj) = xS,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_59]),c_0_61]) ).
fof(c_0_65,plain,
! [X2] :
( ~ aSet0(X2)
| aSubsetOf0(X2,X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mSubRefl])]) ).
cnf(c_0_66,hypothesis,
aSubsetOf0(xS,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3435]) ).
cnf(c_0_67,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_68,negated_conjecture,
~ aSubsetOf0(xS,xS),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64]),c_0_64]) ).
cnf(c_0_69,plain,
( aSubsetOf0(X1,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_70,hypothesis,
aSet0(xS),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_66]),c_0_67])]) ).
cnf(c_0_71,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM574+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n014.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 : Thu Jul 7 07:27:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.24/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.41 # Preprocessing time : 0.024 s
% 0.24/1.41
% 0.24/1.41 # Proof found!
% 0.24/1.41 # SZS status Theorem
% 0.24/1.41 # SZS output start CNFRefutation
% See solution above
% 0.24/1.41 # Proof object total steps : 72
% 0.24/1.41 # Proof object clause steps : 42
% 0.24/1.41 # Proof object formula steps : 30
% 0.24/1.41 # Proof object conjectures : 16
% 0.24/1.41 # Proof object clause conjectures : 13
% 0.24/1.41 # Proof object formula conjectures : 3
% 0.24/1.41 # Proof object initial clauses used : 20
% 0.24/1.41 # Proof object initial formulas used : 17
% 0.24/1.41 # Proof object generating inferences : 15
% 0.24/1.41 # Proof object simplifying inferences : 38
% 0.24/1.41 # Training examples: 0 positive, 0 negative
% 0.24/1.41 # Parsed axioms : 86
% 0.24/1.41 # Removed by relevancy pruning/SinE : 5
% 0.24/1.41 # Initial clauses : 154
% 0.24/1.41 # Removed in clause preprocessing : 7
% 0.24/1.41 # Initial clauses in saturation : 147
% 0.24/1.41 # Processed clauses : 363
% 0.24/1.41 # ...of these trivial : 11
% 0.24/1.41 # ...subsumed : 59
% 0.24/1.41 # ...remaining for further processing : 293
% 0.24/1.41 # Other redundant clauses eliminated : 11
% 0.24/1.41 # Clauses deleted for lack of memory : 0
% 0.24/1.41 # Backward-subsumed : 4
% 0.24/1.41 # Backward-rewritten : 70
% 0.24/1.41 # Generated clauses : 829
% 0.24/1.41 # ...of the previous two non-trivial : 764
% 0.24/1.41 # Contextual simplify-reflections : 41
% 0.24/1.41 # Paramodulations : 796
% 0.24/1.41 # Factorizations : 0
% 0.24/1.41 # Equation resolutions : 33
% 0.24/1.41 # Current number of processed clauses : 216
% 0.24/1.41 # Positive orientable unit clauses : 42
% 0.24/1.41 # Positive unorientable unit clauses: 0
% 0.24/1.41 # Negative unit clauses : 17
% 0.24/1.41 # Non-unit-clauses : 157
% 0.24/1.41 # Current number of unprocessed clauses: 419
% 0.24/1.41 # ...number of literals in the above : 2225
% 0.24/1.41 # Current number of archived formulas : 0
% 0.24/1.41 # Current number of archived clauses : 74
% 0.24/1.41 # Clause-clause subsumption calls (NU) : 6819
% 0.24/1.41 # Rec. Clause-clause subsumption calls : 2222
% 0.24/1.41 # Non-unit clause-clause subsumptions : 65
% 0.24/1.41 # Unit Clause-clause subsumption calls : 2351
% 0.24/1.41 # Rewrite failures with RHS unbound : 0
% 0.24/1.41 # BW rewrite match attempts : 11
% 0.24/1.41 # BW rewrite match successes : 11
% 0.24/1.41 # Condensation attempts : 0
% 0.24/1.41 # Condensation successes : 0
% 0.24/1.41 # Termbank termtop insertions : 23830
% 0.24/1.41
% 0.24/1.41 # -------------------------------------------------
% 0.24/1.41 # User time : 0.057 s
% 0.24/1.41 # System time : 0.004 s
% 0.24/1.41 # Total time : 0.061 s
% 0.24/1.41 # Maximum resident set size: 4464 pages
% 0.24/23.40 eprover: CPU time limit exceeded, terminating
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.42 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.42 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45 eprover: No such file or directory
%------------------------------------------------------------------------------