TSTP Solution File: NUM623+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM623+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 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 : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 20:21:23 EDT 2023
% Result : Theorem 10.05s 1.84s
% Output : Refutation 10.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 25
% Syntax : Number of formulae : 96 ( 35 unt; 0 def)
% Number of atoms : 299 ( 50 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 329 ( 126 ~; 113 |; 62 &)
% ( 14 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-2 aty)
% Number of variables : 130 (; 117 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f116624,plain,
$false,
inference(unit_resulting_resolution,[],[f1329,f108738,f108734,f107657,f12841,f712]) ).
fof(f712,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f241]) ).
fof(f241,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.mto6u3O3Kz/Vampire---4.8_2191',mLessASymm) ).
fof(f12841,plain,
aElementOf0(szszuzczcdt0(xp),szNzAzT0),
inference(unit_resulting_resolution,[],[f12747,f602]) ).
fof(f602,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.mto6u3O3Kz/Vampire---4.8_2191',mSuccNum) ).
fof(f12747,plain,
aElementOf0(xp,szNzAzT0),
inference(unit_resulting_resolution,[],[f455,f7440,f590]) ).
fof(f590,plain,
! [X3,X0,X1] :
( ~ sP11(X0,X1)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) ),
inference(cnf_transformation,[],[f359]) ).
fof(f359,plain,
! [X0,X1] :
( ( sP11(X0,X1)
| ( ~ aElementOf0(sK51(X0,X1),X0)
& aElementOf0(sK51(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ sP11(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f357,f358]) ).
fof(f358,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK51(X0,X1),X0)
& aElementOf0(sK51(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f357,plain,
! [X0,X1] :
( ( sP11(X0,X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ sP11(X0,X1) ) ),
inference(rectify,[],[f356]) ).
fof(f356,plain,
! [X0,X1] :
( ( sP11(X0,X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ sP11(X0,X1) ) ),
inference(flattening,[],[f355]) ).
fof(f355,plain,
! [X0,X1] :
( ( sP11(X0,X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ sP11(X0,X1) ) ),
inference(nnf_transformation,[],[f271]) ).
fof(f271,plain,
! [X0,X1] :
( sP11(X0,X1)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f7440,plain,
sP11(szNzAzT0,xQ),
inference(unit_resulting_resolution,[],[f729,f453,f587]) ).
fof(f587,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| sP11(X0,X1)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f354]) ).
fof(f354,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ sP11(X0,X1) )
& ( sP11(X0,X1)
| ~ aSubsetOf0(X1,X0) ) )
| ~ sP12(X0) ),
inference(nnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> sP11(X0,X1) )
| ~ sP12(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f453,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(cnf_transformation,[],[f101]) ).
fof(f101,axiom,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmp.mto6u3O3Kz/Vampire---4.8_2191',m__5106) ).
fof(f729,plain,
sP12(szNzAzT0),
inference(unit_resulting_resolution,[],[f540,f593]) ).
fof(f593,plain,
! [X0] :
( ~ aSet0(X0)
| sP12(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0] :
( sP12(X0)
| ~ aSet0(X0) ),
inference(definition_folding,[],[f181,f272,f271]) ).
fof(f181,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.mto6u3O3Kz/Vampire---4.8_2191',mDefSub) ).
fof(f540,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmp.mto6u3O3Kz/Vampire---4.8_2191',mNATSet) ).
fof(f455,plain,
aElementOf0(xp,xQ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,axiom,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox2/tmp/tmp.mto6u3O3Kz/Vampire---4.8_2191',m__5173) ).
fof(f107657,plain,
szszuzczcdt0(xx) != szszuzczcdt0(xp),
inference(unit_resulting_resolution,[],[f12747,f448,f503,f711]) ).
fof(f711,plain,
! [X0,X1] :
( ~ aElementOf0(X1,szNzAzT0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f239]) ).
fof(f239,plain,
! [X0,X1] :
( X0 = X1
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.mto6u3O3Kz/Vampire---4.8_2191',mSuccEquSucc) ).
fof(f503,plain,
aElementOf0(xx,szNzAzT0),
inference(cnf_transformation,[],[f114]) ).
fof(f114,axiom,
( aElementOf0(xx,xO)
& aElementOf0(xx,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmp.mto6u3O3Kz/Vampire---4.8_2191',m__5365) ).
fof(f448,plain,
xp != xx,
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
xp != xx,
inference(flattening,[],[f121]) ).
fof(f121,negated_conjecture,
xp != xx,
inference(negated_conjecture,[],[f120]) ).
fof(f120,conjecture,
xp = xx,
file('/export/starexec/sandbox2/tmp/tmp.mto6u3O3Kz/Vampire---4.8_2191',m__) ).
fof(f108734,plain,
sdtlseqdt0(szszuzczcdt0(xx),szszuzczcdt0(xp)),
inference(unit_resulting_resolution,[],[f503,f23912,f12747,f713]) ).
fof(f713,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f442]) ).
fof(f442,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
& ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f243]) ).
fof(f243,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.mto6u3O3Kz/Vampire---4.8_2191',mSuccLess) ).
fof(f23912,plain,
sdtlseqdt0(xx,xp),
inference(unit_resulting_resolution,[],[f509,f23675,f639]) ).
fof(f639,plain,
! [X3,X0,X1] :
( ~ sP19(X0,X1)
| ~ aElementOf0(X3,X1)
| sdtlseqdt0(X0,X3) ),
inference(cnf_transformation,[],[f386]) ).
fof(f386,plain,
! [X0,X1] :
( ( sP19(X0,X1)
| ( ~ sdtlseqdt0(X0,sK56(X0,X1))
& aElementOf0(sK56(X0,X1),X1) )
| ~ aElementOf0(X0,X1) )
& ( ( ! [X3] :
( sdtlseqdt0(X0,X3)
| ~ aElementOf0(X3,X1) )
& aElementOf0(X0,X1) )
| ~ sP19(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56])],[f384,f385]) ).
fof(f385,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X0,X2)
& aElementOf0(X2,X1) )
=> ( ~ sdtlseqdt0(X0,sK56(X0,X1))
& aElementOf0(sK56(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f384,plain,
! [X0,X1] :
( ( sP19(X0,X1)
| ? [X2] :
( ~ sdtlseqdt0(X0,X2)
& aElementOf0(X2,X1) )
| ~ aElementOf0(X0,X1) )
& ( ( ! [X3] :
( sdtlseqdt0(X0,X3)
| ~ aElementOf0(X3,X1) )
& aElementOf0(X0,X1) )
| ~ sP19(X0,X1) ) ),
inference(rectify,[],[f383]) ).
fof(f383,plain,
! [X1,X0] :
( ( sP19(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| ~ sP19(X1,X0) ) ),
inference(flattening,[],[f382]) ).
fof(f382,plain,
! [X1,X0] :
( ( sP19(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| ~ sP19(X1,X0) ) ),
inference(nnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X1,X0] :
( sP19(X1,X0)
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f23675,plain,
sP19(xx,sdtlpdtrp0(xN,xm)),
inference(unit_resulting_resolution,[],[f9464,f464,f636]) ).
fof(f636,plain,
! [X0,X1] :
( ~ sP20(X0)
| szmzizndt0(X0) != X1
| sP19(X1,X0) ),
inference(cnf_transformation,[],[f381]) ).
fof(f381,plain,
! [X0] :
( ! [X1] :
( ( szmzizndt0(X0) = X1
| ~ sP19(X1,X0) )
& ( sP19(X1,X0)
| szmzizndt0(X0) != X1 ) )
| ~ sP20(X0) ),
inference(nnf_transformation,[],[f283]) ).
fof(f283,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> sP19(X1,X0) )
| ~ sP20(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f464,plain,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f116]) ).
fof(f116,axiom,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox2/tmp/tmp.mto6u3O3Kz/Vampire---4.8_2191',m__5401) ).
fof(f9464,plain,
sP20(sdtlpdtrp0(xN,xm)),
inference(unit_resulting_resolution,[],[f963,f6550,f642]) ).
fof(f642,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0
| sP20(X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0] :
( sP20(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(definition_folding,[],[f215,f283,f282]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ( slcrc0 != X0
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzizndt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.mto6u3O3Kz/Vampire---4.8_2191',mDefMin) ).
fof(f6550,plain,
aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
inference(unit_resulting_resolution,[],[f501,f519]) ).
fof(f519,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( isCountable0(sdtlpdtrp0(xN,X0))
& aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.mto6u3O3Kz/Vampire---4.8_2191',m__3671) ).
fof(f501,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f115]) ).
fof(f115,axiom,
( xx = sdtlpdtrp0(xe,xm)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmp.mto6u3O3Kz/Vampire---4.8_2191',m__5389) ).
fof(f963,plain,
slcrc0 != sdtlpdtrp0(xN,xm),
inference(unit_resulting_resolution,[],[f509,f644]) ).
fof(f644,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f391]) ).
fof(f391,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK57(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK57])],[f389,f390]) ).
fof(f390,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK57(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f389,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f388]) ).
fof(f388,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f387]) ).
fof(f387,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.mto6u3O3Kz/Vampire---4.8_2191',mDefEmp) ).
fof(f509,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f119]) ).
fof(f119,axiom,
( aElementOf0(xx,xQ)
& aElementOf0(xp,sdtlpdtrp0(xN,xm)) ),
file('/export/starexec/sandbox2/tmp/tmp.mto6u3O3Kz/Vampire---4.8_2191',m__5481) ).
fof(f108738,plain,
sdtlseqdt0(szszuzczcdt0(xp),szszuzczcdt0(xx)),
inference(unit_resulting_resolution,[],[f12747,f23911,f503,f713]) ).
fof(f23911,plain,
sdtlseqdt0(xp,xx),
inference(unit_resulting_resolution,[],[f510,f23674,f639]) ).
fof(f23674,plain,
sP19(xp,xQ),
inference(unit_resulting_resolution,[],[f9466,f459,f636]) ).
fof(f459,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,axiom,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox2/tmp/tmp.mto6u3O3Kz/Vampire---4.8_2191',m__5147) ).
fof(f9466,plain,
sP20(xQ),
inference(unit_resulting_resolution,[],[f500,f453,f642]) ).
fof(f500,plain,
slcrc0 != xQ,
inference(cnf_transformation,[],[f100]) ).
fof(f100,axiom,
( slcrc0 != xQ
& aSubsetOf0(xQ,xO) ),
file('/export/starexec/sandbox2/tmp/tmp.mto6u3O3Kz/Vampire---4.8_2191',m__5093) ).
fof(f510,plain,
aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f119]) ).
fof(f1329,plain,
aElementOf0(szszuzczcdt0(xx),szNzAzT0),
inference(unit_resulting_resolution,[],[f503,f602]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM623+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 30 14:45:29 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.42 % (2297)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (2298)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.43 % (2299)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.43 % (2300)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.43 % (2301)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43 % (2302)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.22/0.43 % (2303)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.22/0.43 % (2304)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.22/0.45 TRYING [1]
% 0.22/0.45 TRYING [1]
% 0.22/0.45 TRYING [2]
% 0.22/0.45 TRYING [2]
% 0.22/0.47 TRYING [3]
% 0.22/0.48 TRYING [3]
% 0.22/0.55 TRYING [4]
% 0.22/0.58 TRYING [4]
% 0.22/0.68 TRYING [5]
% 0.22/0.71 TRYING [1]
% 0.22/0.71 TRYING [2]
% 0.22/0.72 TRYING [3]
% 2.60/0.78 TRYING [5]
% 2.60/0.78 TRYING [4]
% 3.69/0.95 TRYING [5]
% 3.95/0.99 TRYING [6]
% 5.34/1.22 TRYING [6]
% 5.92/1.34 TRYING [6]
% 8.14/1.58 TRYING [7]
% 10.05/1.84 % (2304)First to succeed.
% 10.05/1.84 % (2304)Refutation found. Thanks to Tanya!
% 10.05/1.84 % SZS status Theorem for Vampire---4
% 10.05/1.84 % SZS output start Proof for Vampire---4
% See solution above
% 10.05/1.84 % (2304)------------------------------
% 10.05/1.84 % (2304)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 10.05/1.84 % (2304)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 10.05/1.84 % (2304)Termination reason: Refutation
% 10.05/1.84
% 10.05/1.84 % (2304)Memory used [KB]: 61790
% 10.05/1.84 % (2304)Time elapsed: 1.407 s
% 10.05/1.84 % (2304)------------------------------
% 10.05/1.84 % (2304)------------------------------
% 10.05/1.84 % (2297)Success in time 1.464 s
% 10.05/1.85 % Vampire---4.8 exiting
%------------------------------------------------------------------------------