%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM631+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 09:34:37 EDT 2022
% Result : Theorem 0.28s 14.48s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 24
% Syntax : Number of formulae : 81 ( 41 unt; 0 def)
% Number of atoms : 289 ( 78 equ)
% Maximal formula atoms : 52 ( 3 avg)
% Number of connectives : 340 ( 132 ~; 137 |; 52 &)
% ( 5 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 17 con; 0-3 aty)
% Number of variables : 73 ( 5 sgn 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__4660,hypothesis,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__4660) ).
fof(mDefSub,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aSubsetOf0(X2,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefSub) ).
fof(m__3671,hypothesis,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__3671) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__3623) ).
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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefDiff) ).
fof(m__5309,hypothesis,
( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5309) ).
fof(mEOfElem,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mEOfElem) ).
fof(mNATSet,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mNATSet) ).
fof(m__5585,hypothesis,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5585) ).
fof(m__5182,hypothesis,
aElementOf0(xp,xO),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5182) ).
fof(m__4891,hypothesis,
( aSet0(xO)
& xO = sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__4891) ).
fof(mDefSel,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElementOf0(X2,szNzAzT0) )
=> ! [X3] :
( X3 = slbdtsldtrb0(X1,X2)
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aSubsetOf0(X4,X1)
& sbrdtbr0(X4) = X2 ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mDefSel) ).
fof(mConsDiff,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> sdtpldt0(sdtmndt0(X1,X2),X2) = X1 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mConsDiff) ).
fof(m__5164,hypothesis,
( aSet0(xP)
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5164) ).
fof(m__5147,hypothesis,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5147) ).
fof(m__5093,hypothesis,
( aSubsetOf0(xQ,xO)
& xQ != slcrc0 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5093) ).
fof(m__,conjecture,
sdtlpdtrp0(xc,xQ) = sdtlpdtrp0(xd,xn),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__) ).
fof(m__5632,hypothesis,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5632) ).
fof(m__5173,hypothesis,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5173) ).
fof(m__4730,hypothesis,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)) )
=> sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__4730) ).
fof(m__5334,hypothesis,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5334) ).
fof(m__5217,hypothesis,
sbrdtbr0(xP) = xk,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5217) ).
fof(m__5321,hypothesis,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__5321) ).
fof(m__3533,hypothesis,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',m__3533) ).
fof(c_0_24,hypothesis,
! [X2] :
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ( ~ aElementOf0(X2,szNzAzT0)
| sdtlpdtrp0(xe,X2) = szmzizndt0(sdtlpdtrp0(xN,X2)) ) ),
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__4660])])])])]) ).
fof(c_0_25,plain,
! [X4,X5,X6,X5] :
( ( aSet0(X5)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(X6,X5)
| aElementOf0(X6,X4)
| ~ aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( aElementOf0(esk2_2(X4,X5),X5)
| ~ aSet0(X5)
| aSubsetOf0(X5,X4)
| ~ aSet0(X4) )
& ( ~ aElementOf0(esk2_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])])])])])])]) ).
fof(c_0_26,hypothesis,
! [X2] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X2),szNzAzT0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( isCountable0(sdtlpdtrp0(xN,X2))
| ~ aElementOf0(X2,szNzAzT0) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__3671])])]) ).
fof(c_0_27,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])])])])])]) ).
fof(c_0_28,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(esk4_3(X5,X6,X7),X7)
| ~ aElement0(esk4_3(X5,X6,X7))
| ~ aElementOf0(esk4_3(X5,X6,X7),X5)
| esk4_3(X5,X6,X7) = X6
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk4_3(X5,X6,X7))
| aElementOf0(esk4_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk4_3(X5,X6,X7),X5)
| aElementOf0(esk4_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = sdtmndt0(X5,X6)
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( esk4_3(X5,X6,X7) != X6
| aElementOf0(esk4_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_29,hypothesis,
( sdtlpdtrp0(xe,X1) = szmzizndt0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,hypothesis,
aElementOf0(xn,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__5309]) ).
cnf(c_0_31,hypothesis,
sdtlpdtrp0(xe,xn) = xp,
inference(split_conjunct,[status(thm)],[m__5309]) ).
fof(c_0_32,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])])])])]) ).
cnf(c_0_33,plain,
( aSet0(X2)
| ~ aSet0(X1)
| ~ aSubsetOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
aSet0(szNzAzT0),
inference(split_conjunct,[status(thm)],[mNATSet]) ).
cnf(c_0_36,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,X1))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,hypothesis,
( isCountable0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_38,plain,
( aSet0(X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,hypothesis,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
inference(split_conjunct,[status(thm)],[m__5585]) ).
cnf(c_0_40,hypothesis,
szmzizndt0(sdtlpdtrp0(xN,xn)) = xp,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_41,plain,
( aElement0(X1)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_42,hypothesis,
aElementOf0(xp,xO),
inference(split_conjunct,[status(thm)],[m__5182]) ).
cnf(c_0_43,hypothesis,
aSet0(xO),
inference(split_conjunct,[status(thm)],[m__4891]) ).
cnf(c_0_44,hypothesis,
( aSet0(sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
fof(c_0_45,plain,
! [X5,X6,X7,X8,X8,X7] :
( ( aSet0(X7)
| X7 != slbdtsldtrb0(X5,X6)
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( aSubsetOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| X7 != slbdtsldtrb0(X5,X6)
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( sbrdtbr0(X8) = X6
| ~ aElementOf0(X8,X7)
| X7 != slbdtsldtrb0(X5,X6)
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( ~ aSubsetOf0(X8,X5)
| sbrdtbr0(X8) != X6
| aElementOf0(X8,X7)
| X7 != slbdtsldtrb0(X5,X6)
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( ~ aElementOf0(esk11_3(X5,X6,X7),X7)
| ~ aSubsetOf0(esk11_3(X5,X6,X7),X5)
| sbrdtbr0(esk11_3(X5,X6,X7)) != X6
| ~ aSet0(X7)
| X7 = slbdtsldtrb0(X5,X6)
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( aSubsetOf0(esk11_3(X5,X6,X7),X5)
| aElementOf0(esk11_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = slbdtsldtrb0(X5,X6)
| ~ aSet0(X5)
| ~ aElementOf0(X6,szNzAzT0) )
& ( sbrdtbr0(esk11_3(X5,X6,X7)) = X6
| aElementOf0(esk11_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| X7 = slbdtsldtrb0(X5,X6)
| ~ aSet0(X5)
| ~ aElementOf0(X6,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)],[mDefSel])])])])])])]) ).
cnf(c_0_46,hypothesis,
( aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_36,c_0_34]),c_0_37]) ).
cnf(c_0_47,plain,
( aSet0(sdtmndt0(X1,X2))
| ~ aElement0(X2)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[c_0_38]) ).
cnf(c_0_48,hypothesis,
sdtmndt0(sdtlpdtrp0(xN,xn),xp) = xD,
inference(rw,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_49,hypothesis,
aElement0(xp),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_50,hypothesis,
aSet0(sdtlpdtrp0(xN,xn)),
inference(spm,[status(thm)],[c_0_44,c_0_30]) ).
fof(c_0_51,plain,
! [X3,X4] :
( ~ aSet0(X3)
| ~ aElementOf0(X4,X3)
| sdtpldt0(sdtmndt0(X3,X4),X4) = X3 ),
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)],[mConsDiff])])])])]) ).
cnf(c_0_52,hypothesis,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(split_conjunct,[status(thm)],[m__5164]) ).
cnf(c_0_53,hypothesis,
xp = szmzizndt0(xQ),
inference(split_conjunct,[status(thm)],[m__5147]) ).
cnf(c_0_54,hypothesis,
aSubsetOf0(xQ,xO),
inference(split_conjunct,[status(thm)],[m__5093]) ).
fof(c_0_55,negated_conjecture,
sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn),
inference(assume_negation,[status(cth)],[m__]) ).
cnf(c_0_56,plain,
( aElementOf0(X4,X3)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X2)
| X3 != slbdtsldtrb0(X2,X1)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_57,hypothesis,
( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X1)))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ),
inference(spm,[status(thm)],[c_0_33,c_0_46]) ).
cnf(c_0_58,hypothesis,
aSet0(xD),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_59,hypothesis,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(split_conjunct,[status(thm)],[m__5632]) ).
cnf(c_0_60,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aElementOf0(X2,X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_61,hypothesis,
sdtmndt0(xQ,xp) = xP,
inference(rw,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_62,hypothesis,
aElementOf0(xp,xQ),
inference(split_conjunct,[status(thm)],[m__5173]) ).
cnf(c_0_63,hypothesis,
aSet0(xQ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_54]),c_0_43])]) ).
fof(c_0_64,negated_conjecture,
sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn),
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_65,hypothesis,
! [X3,X4] :
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ( ~ aElementOf0(X3,szNzAzT0)
| ~ aSet0(X4)
| ~ aElementOf0(X4,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),xk))
| sdtlpdtrp0(xd,X3) = sdtlpdtrp0(sdtlpdtrp0(xC,X3),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)],[m__4730])])])])]) ).
cnf(c_0_66,plain,
( aElementOf0(X1,slbdtsldtrb0(X2,X3))
| sbrdtbr0(X1) != X3
| ~ aSubsetOf0(X1,X2)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[c_0_56]) ).
cnf(c_0_67,hypothesis,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(split_conjunct,[status(thm)],[m__5334]) ).
cnf(c_0_68,hypothesis,
sbrdtbr0(xP) = xk,
inference(split_conjunct,[status(thm)],[m__5217]) ).
cnf(c_0_69,hypothesis,
aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_40]),c_0_30]),c_0_48]),c_0_58])]) ).
cnf(c_0_70,hypothesis,
sdtlpdtrp0(xc,sdtpldt0(xP,xp)) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(rw,[status(thm)],[c_0_59,c_0_40]) ).
cnf(c_0_71,hypothesis,
sdtpldt0(xP,xp) = xQ,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]),c_0_63])]) ).
cnf(c_0_72,negated_conjecture,
sdtlpdtrp0(xc,xQ) != sdtlpdtrp0(xd,xn),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_73,hypothesis,
sdtlpdtrp0(xd,xn) = szDzizrdt0(xd),
inference(split_conjunct,[status(thm)],[m__5321]) ).
cnf(c_0_74,hypothesis,
( sdtlpdtrp0(xd,X1) = sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk))
| ~ aSet0(X2)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_75,hypothesis,
( aElementOf0(xP,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),X1))
| xk != X1
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]),c_0_69])]) ).
cnf(c_0_76,hypothesis,
sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP) = sdtlpdtrp0(xc,xQ),
inference(rw,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,hypothesis,
aSet0(xP),
inference(split_conjunct,[status(thm)],[m__5164]) ).
cnf(c_0_78,hypothesis,
aElementOf0(xk,szNzAzT0),
inference(split_conjunct,[status(thm)],[m__3533]) ).
cnf(c_0_79,negated_conjecture,
sdtlpdtrp0(xc,xQ) != szDzizrdt0(xd),
inference(rw,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_80,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_73]),c_0_30]),c_0_77]),c_0_78])]),c_0_79]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM631+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 23:52:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.28/14.48 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.28/14.48 # Preprocessing time : 0.026 s
% 0.28/14.48
% 0.28/14.48 # Proof found!
% 0.28/14.48 # SZS status Theorem
% 0.28/14.48 # SZS output start CNFRefutation
% See solution above
% 0.28/14.48 # Proof object total steps : 81
% 0.28/14.48 # Proof object clause steps : 46
% 0.28/14.48 # Proof object formula steps : 35
% 0.28/14.48 # Proof object conjectures : 5
% 0.28/14.48 # Proof object clause conjectures : 2
% 0.28/14.48 # Proof object formula conjectures : 3
% 0.28/14.48 # Proof object initial clauses used : 27
% 0.28/14.48 # Proof object initial formulas used : 24
% 0.28/14.48 # Proof object generating inferences : 13
% 0.28/14.48 # Proof object simplifying inferences : 35
% 0.28/14.48 # Training examples: 0 positive, 0 negative
% 0.28/14.48 # Parsed axioms : 117
% 0.28/14.48 # Removed by relevancy pruning/SinE : 0
% 0.28/14.48 # Initial clauses : 223
% 0.28/14.48 # Removed in clause preprocessing : 7
% 0.28/14.48 # Initial clauses in saturation : 216
% 0.28/14.48 # Processed clauses : 23186
% 0.28/14.48 # ...of these trivial : 229
% 0.28/14.48 # ...subsumed : 10779
% 0.28/14.48 # ...remaining for further processing : 12178
% 0.28/14.48 # Other redundant clauses eliminated : 76
% 0.28/14.48 # Clauses deleted for lack of memory : 317274
% 0.28/14.48 # Backward-subsumed : 624
% 0.28/14.48 # Backward-rewritten : 255
% 0.28/14.48 # Generated clauses : 495125
% 0.28/14.48 # ...of the previous two non-trivial : 465540
% 0.28/14.48 # Contextual simplify-reflections : 9381
% 0.28/14.48 # Paramodulations : 494521
% 0.28/14.48 # Factorizations : 0
% 0.28/14.48 # Equation resolutions : 591
% 0.28/14.48 # Current number of processed clauses : 11289
% 0.28/14.48 # Positive orientable unit clauses : 606
% 0.28/14.48 # Positive unorientable unit clauses: 0
% 0.28/14.48 # Negative unit clauses : 428
% 0.28/14.48 # Non-unit-clauses : 10255
% 0.28/14.48 # Current number of unprocessed clauses: 113286
% 0.28/14.48 # ...number of literals in the above : 677064
% 0.28/14.48 # Current number of archived formulas : 0
% 0.28/14.48 # Current number of archived clauses : 882
% 0.28/14.48 # Clause-clause subsumption calls (NU) : 13476458
% 0.28/14.48 # Rec. Clause-clause subsumption calls : 1881572
% 0.28/14.48 # Non-unit clause-clause subsumptions : 16362
% 0.28/14.48 # Unit Clause-clause subsumption calls : 353642
% 0.28/14.48 # Rewrite failures with RHS unbound : 0
% 0.28/14.48 # BW rewrite match attempts : 2463
% 0.28/14.48 # BW rewrite match successes : 79
% 0.28/14.48 # Condensation attempts : 0
% 0.28/14.48 # Condensation successes : 0
% 0.28/14.48 # Termbank termtop insertions : 13297200
% 0.28/14.48
% 0.28/14.48 # -------------------------------------------------
% 0.28/14.48 # User time : 13.524 s
% 0.28/14.48 # System time : 0.135 s
% 0.28/14.48 # Total time : 13.659 s
% 0.28/14.48 # Maximum resident set size: 143204 pages
% 0.31/23.41 eprover: CPU time limit exceeded, terminating
% 0.31/23.42 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.31/23.42
% 0.31/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.42 eprover: No such file or directory
% 0.31/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.42 eprover: No such file or directory
% 0.31/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.43 eprover: No such file or directory
% 0.31/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.43 eprover: No such file or directory
% 0.31/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.43 eprover: No such file or directory
% 0.31/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.43 eprover: No such file or directory
% 0.31/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.43 eprover: No such file or directory
% 0.31/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.44 eprover: No such file or directory
% 0.31/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.44 eprover: No such file or directory
% 0.31/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.44 eprover: No such file or directory
% 0.31/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.44 eprover: No such file or directory
% 0.31/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.44 eprover: No such file or directory
% 0.31/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.44 eprover: No such file or directory
% 0.31/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.45 eprover: No such file or directory
% 0.31/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.45 eprover: No such file or directory
% 0.31/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.45 eprover: No such file or directory
% 0.31/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.45 eprover: No such file or directory
% 0.31/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.45 eprover: No such file or directory
% 0.31/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.46 eprover: No such file or directory
% 0.31/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.46 eprover: No such file or directory
% 0.31/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.46 eprover: No such file or directory
% 0.31/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.46 eprover: No such file or directory
% 0.31/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.46 eprover: No such file or directory
% 0.31/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.46 eprover: No such file or directory
% 0.31/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.46 eprover: No such file or directory
% 0.31/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.47 eprover: No such file or directory
% 0.31/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.47 eprover: No such file or directory
% 0.31/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.47 eprover: No such file or directory
% 0.31/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.47 eprover: No such file or directory
% 0.31/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.48 eprover: No such file or directory
% 0.31/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.48 eprover: No such file or directory
% 0.31/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.48 eprover: No such file or directory
% 0.31/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.31/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------