%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM554+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:15:43 PM UTC 2026
% Result : Theorem 8.85s 3.04s
% Output : Refutation 14.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 33
% Syntax : Number of formulae : 234 ( 43 unt; 16 def)
% Number of atoms : 987 ( 143 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 1263 ( 510 ~; 560 |; 142 &)
% ( 37 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 12 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-3 aty)
% Number of variables : 267 ( 0 sgn 255 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f15,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElement0(X1) )
=> ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefCons) ).
fof(f16,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElement0(X1) )
=> ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f17,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> sdtpldt0(sdtmndt0(X0,X1),X1) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mConsDiff) ).
fof(f22,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> isFinite0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFDiffSet) ).
fof(f43,axiom,
! [X0] :
( ( aSet0(X0)
& isFinite0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ( ~ aElementOf0(X1,X0)
=> sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardCons) ).
fof(f57,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElementOf0(X1,szNzAzT0) )
=> ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(f61,axiom,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202) ).
fof(f62,axiom,
( aSet0(xS)
& aSet0(xT)
& xk != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2202_02) ).
fof(f64,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2256) ).
fof(f65,axiom,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2270) ).
fof(f66,axiom,
( aSet0(xQ)
& isFinite0(xQ)
& sbrdtbr0(xQ) = xk ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2291) ).
fof(f67,axiom,
( aElement0(xy)
& aElementOf0(xy,xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2304) ).
fof(f69,axiom,
~ aElementOf0(xx,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2338) ).
fof(f70,axiom,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2357) ).
fof(f71,conjecture,
aElementOf0(xP,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f72,negated_conjecture,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(negated_conjecture,[status(cth)],[f71]) ).
fof(f79,plain,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(flattening,[],[f72]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f95,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f96,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f98,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ isFinite0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ isFinite0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f108]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1) )
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(flattening,[],[f131]) ).
fof(f154,plain,
! [X0,X1] :
( ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f155,plain,
! [X0,X1] :
( ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f154]) ).
fof(f162,definition,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f163,definition,
! [X1,X0] :
( ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> sP0(X2,X0,X1) )
| ~ sP1(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f164,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f96,f163,f162]) ).
fof(f165,definition,
! [X2,X0,X1] :
( sP2(X2,X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f166,definition,
! [X1,X0] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> sP2(X2,X0,X1) )
| ~ sP3(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f167,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f98,f166,f165]) ).
fof(f172,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f87]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f172]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f173]) ).
fof(f175,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f174]) ).
fof(f176,plain,
! [X1,X0] :
( ! [X2] :
( ( X2 = sdtpldt0(X0,X1)
| ~ sP0(X2,X0,X1) )
& ( sP0(X2,X0,X1)
| sdtpldt0(X0,X1) != X2 ) )
| ~ sP1(X1,X0) ),
inference(nnf_transformation,[],[f163]) ).
fof(f177,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X1,X0) = X2
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| sdtpldt0(X1,X0) != X2 ) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f176]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,X0)
& X1 != X3 )
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| ( ~ aElementOf0(X3,X0)
& X1 != X3 ) )
& ( ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f162]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,X0)
& X1 != X3 )
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| ( ~ aElementOf0(X3,X0)
& X1 != X3 ) )
& ( ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP0(X2,X0,X1) ) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ? [X3] :
( ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,X1)
& X2 != X3 )
| ~ aElementOf0(X3,X0) )
& ( ( aElement0(X3)
& ( aElementOf0(X3,X1)
| X2 = X3 ) )
| aElementOf0(X3,X0) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( aElementOf0(X4,X0)
| ~ aElement0(X4)
| ( ~ aElementOf0(X4,X1)
& X2 != X4 ) )
& ( ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X2 = X4 ) )
| ~ aElementOf0(X4,X0) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f179]) ).
fof(f181,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ( ( ~ aElement0(sK6(X0,X1,X2))
| ( ~ aElementOf0(sK6(X0,X1,X2),X1)
& sK6(X0,X1,X2) != X2 )
| ~ aElementOf0(sK6(X0,X1,X2),X0) )
& ( ( aElement0(sK6(X0,X1,X2))
& ( aElementOf0(sK6(X0,X1,X2),X1)
| sK6(X0,X1,X2) = X2 ) )
| aElementOf0(sK6(X0,X1,X2),X0) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( aElementOf0(X4,X0)
| ~ aElement0(X4)
| ( ~ aElementOf0(X4,X1)
& X2 != X4 ) )
& ( ( aElement0(X4)
& ( aElementOf0(X4,X1)
| X2 = X4 ) )
| ~ aElementOf0(X4,X0) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X3,sK6(X0,X1,X2))],[f180]) ).
fof(f182,plain,
! [X1,X0] :
( ! [X2] :
( ( X2 = sdtmndt0(X0,X1)
| ~ sP2(X2,X0,X1) )
& ( sP2(X2,X0,X1)
| sdtmndt0(X0,X1) != X2 ) )
| ~ sP3(X1,X0) ),
inference(nnf_transformation,[],[f166]) ).
fof(f183,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X1,X0) = X2
| ~ sP2(X2,X1,X0) )
& ( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2 ) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f182]) ).
fof(f184,plain,
! [X2,X0,X1] :
( ( sP2(X2,X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3 )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP2(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f165]) ).
fof(f185,plain,
! [X2,X0,X1] :
( ( sP2(X2,X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3
| ~ aElementOf0(X3,X2) )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X3,X0)
| X1 = X3 )
& ( ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP2(X2,X0,X1) ) ),
inference(flattening,[],[f184]) ).
fof(f186,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ~ aSet0(X0)
| ? [X3] :
( ( ~ aElement0(X3)
| ~ aElementOf0(X3,X1)
| X2 = X3
| ~ aElementOf0(X3,X0) )
& ( ( aElement0(X3)
& aElementOf0(X3,X1)
& X2 != X3 )
| aElementOf0(X3,X0) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( aElementOf0(X4,X0)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| X2 = X4 )
& ( ( aElement0(X4)
& aElementOf0(X4,X1)
& X2 != X4 )
| ~ aElementOf0(X4,X0) ) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f185]) ).
fof(f187,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ~ aSet0(X0)
| ( ( ~ aElement0(sK7(X0,X1,X2))
| ~ aElementOf0(sK7(X0,X1,X2),X1)
| sK7(X0,X1,X2) = X2
| ~ aElementOf0(sK7(X0,X1,X2),X0) )
& ( ( aElement0(sK7(X0,X1,X2))
& aElementOf0(sK7(X0,X1,X2),X1)
& sK7(X0,X1,X2) != X2 )
| aElementOf0(sK7(X0,X1,X2),X0) ) ) )
& ( ( aSet0(X0)
& ! [X4] :
( ( aElementOf0(X4,X0)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| X2 = X4 )
& ( ( aElement0(X4)
& aElementOf0(X4,X1)
& X2 != X4 )
| ~ aElementOf0(X4,X0) ) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f186]) ).
fof(f209,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1 )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| ~ aElementOf0(X3,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(nnf_transformation,[],[f155]) ).
fof(f210,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1 )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| ~ aElementOf0(X3,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f209]) ).
fof(f211,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| sbrdtbr0(X4) != X1 )
& ( ( aSubsetOf0(X4,X0)
& sbrdtbr0(X4) = X1 )
| ~ aElementOf0(X4,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rectify,[],[f210]) ).
fof(f212,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aSubsetOf0(sK14(X0,X1,X2),X0)
| sbrdtbr0(sK14(X0,X1,X2)) != X1
| ~ aElementOf0(sK14(X0,X1,X2),X2) )
& ( ( aSubsetOf0(sK14(X0,X1,X2),X0)
& sbrdtbr0(sK14(X0,X1,X2)) = X1 )
| aElementOf0(sK14(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| sbrdtbr0(X4) != X1 )
& ( ( aSubsetOf0(X4,X0)
& sbrdtbr0(X4) = X1 )
| ~ aElementOf0(X4,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X3,sK14(X0,X1,X2))],[f211]) ).
fof(f213,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f220,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f222,plain,
! [X0,X1] :
( aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f223,plain,
! [X0,X1] :
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f228,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| sdtpldt0(X1,X0) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
fof(f230,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| X2 = X4
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f181]) ).
fof(f233,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| aElementOf0(X4,X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f239,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f240,plain,
! [X2,X0,X1] :
( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f183]) ).
fof(f242,plain,
! [X2,X0,X1,X4] :
( X2 != X4
| ~ aElementOf0(X4,X0)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f243,plain,
! [X2,X0,X1,X4] :
( ~ sP2(X0,X1,X2)
| ~ aElementOf0(X4,X0)
| aElementOf0(X4,X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f246,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f251,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f167]) ).
fof(f252,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| sdtpldt0(sdtmndt0(X0,X1),X1) = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f257,plain,
! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f281,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| ~ aElement0(X1)
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f313,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f314,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| sbrdtbr0(X4) != X1
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f322,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f61]) ).
fof(f325,plain,
aSet0(xS),
inference(cnf_transformation,[],[f62]) ).
fof(f328,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f64]) ).
fof(f329,plain,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f65]) ).
fof(f330,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f331,plain,
isFinite0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f332,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f333,plain,
aElementOf0(xy,xQ),
inference(cnf_transformation,[],[f67]) ).
fof(f334,plain,
aElement0(xy),
inference(cnf_transformation,[],[f67]) ).
fof(f336,plain,
~ aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f69]) ).
fof(f337,plain,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
inference(cnf_transformation,[],[f70]) ).
fof(f338,plain,
~ aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f79]) ).
fof(f342,plain,
! [X0,X1] :
( sP0(sdtpldt0(X1,X0),X1,X0)
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f228]) ).
fof(f344,plain,
! [X0,X1] :
( sP2(sdtmndt0(X1,X0),X1,X0)
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f240]) ).
fof(f345,plain,
! [X0,X1,X4] :
( ~ sP2(X0,X1,X4)
| ~ aElementOf0(X4,X0) ),
inference(equality_resolution,[],[f242]) ).
fof(f357,plain,
! [X2,X0,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| slbdtsldtrb0(X0,sbrdtbr0(X4)) != X2
| ~ aSet0(X0)
| ~ aElementOf0(sbrdtbr0(X4),szNzAzT0) ),
inference(equality_resolution,[],[f314]) ).
fof(f358,plain,
! [X0,X4] :
( aElementOf0(X4,slbdtsldtrb0(X0,sbrdtbr0(X4)))
| ~ aSubsetOf0(X4,X0)
| ~ aSet0(X0)
| ~ aElementOf0(sbrdtbr0(X4),szNzAzT0) ),
inference(equality_resolution,[],[f357]) ).
fof(f359,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| aSubsetOf0(X4,X0)
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f313]) ).
fof(f361,definition,
sF15 = slbdtsldtrb0(xS,xk),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f362,plain,
slbdtsldtrb0(xS,xk) = sF15,
inference(reorient_equations,[],[f361]) ).
fof(f363,plain,
~ aElementOf0(xP,sF15),
inference(definition_folding,[],[f338,f362]) ).
fof(f400,plain,
( sP0(xP,sdtmndt0(xQ,xy),xx)
| ~ sP1(xx,sdtmndt0(xQ,xy)) ),
inference(superposition,[],[f342,f337]) ).
fof(f402,definition,
( spl16_7
<=> sP1(xx,sdtmndt0(xQ,xy)) ),
introduced(definition,[new_symbols(definition,[spl16_7])],[avatar_definition]) ).
fof(f403,plain,
( sP1(xx,sdtmndt0(xQ,xy))
| ~ spl16_7 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f404,plain,
( ~ sP1(xx,sdtmndt0(xQ,xy))
| spl16_7 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f406,definition,
( spl16_8
<=> sP0(xP,sdtmndt0(xQ,xy),xx) ),
introduced(definition,[new_symbols(definition,[spl16_8])],[avatar_definition]) ).
fof(f408,plain,
( sP0(xP,sdtmndt0(xQ,xy),xx)
| ~ spl16_8 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f409,plain,
( ~ spl16_7
| spl16_8 ),
inference(avatar_split_clause,[],[f400,f406,f402]) ).
fof(f411,plain,
( aSubsetOf0(xQ,xS)
| ~ aSet0(xS)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(resolution,[],[f359,f329]) ).
fof(f414,plain,
( aSubsetOf0(xQ,xS)
| ~ aElementOf0(xk,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f411,f325]) ).
fof(f416,plain,
aSubsetOf0(xQ,xS),
inference(forward_subsumption_resolution,[],[f414,f322]) ).
fof(f438,definition,
( spl16_12
<=> aElement0(xx) ),
introduced(definition,[new_symbols(definition,[spl16_12])],[avatar_definition]) ).
fof(f439,plain,
( aElement0(xx)
| ~ spl16_12 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f440,plain,
( ~ aElement0(xx)
| spl16_12 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f470,plain,
( xQ = sdtpldt0(sdtmndt0(xQ,xy),xy)
| ~ aSet0(xQ) ),
inference(resolution,[],[f252,f333]) ).
fof(f472,plain,
xQ = sdtpldt0(sdtmndt0(xQ,xy),xy),
inference(forward_subsumption_resolution,[],[f470,f332]) ).
fof(f478,plain,
( ~ aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| spl16_7 ),
inference(resolution,[],[f404,f239]) ).
fof(f479,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ sP3(X1,X0) ),
inference(resolution,[],[f246,f344]) ).
fof(f501,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xS)
| ~ aSet0(xS) ),
inference(resolution,[],[f416,f220]) ).
fof(f502,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[],[f501,f325]) ).
fof(f512,plain,
( aElement0(xx)
| ~ aSet0(xS) ),
inference(resolution,[],[f213,f328]) ).
fof(f529,plain,
( ~ aSet0(xS)
| spl16_12 ),
inference(forward_subsumption_resolution,[],[f512,f440]) ).
fof(f535,plain,
( $false
| spl16_12 ),
inference(forward_subsumption_resolution,[],[f529,f325]) ).
fof(f536,plain,
spl16_12,
inference(avatar_contradiction_clause,[],[f535]) ).
fof(f538,plain,
( ~ aSet0(sdtmndt0(xQ,xy))
| spl16_7
| ~ spl16_12 ),
inference(forward_subsumption_resolution,[],[f478,f439]) ).
fof(f540,definition,
( spl16_18
<=> isFinite0(sdtmndt0(xQ,xy)) ),
introduced(definition,[new_symbols(definition,[spl16_18])],[avatar_definition]) ).
fof(f541,plain,
( isFinite0(sdtmndt0(xQ,xy))
| ~ spl16_18 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f542,plain,
( ~ isFinite0(sdtmndt0(xQ,xy))
| spl16_18 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f544,definition,
( spl16_19
<=> aSet0(sdtmndt0(xQ,xy)) ),
introduced(definition,[new_symbols(definition,[spl16_19])],[avatar_definition]) ).
fof(f545,plain,
( aSet0(sdtmndt0(xQ,xy))
| ~ spl16_19 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f546,plain,
( ~ aSet0(sdtmndt0(xQ,xy))
| spl16_19 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f552,plain,
( ~ spl16_19
| spl16_7
| ~ spl16_12 ),
inference(avatar_split_clause,[],[f538,f438,f402,f544]) ).
fof(f553,plain,
( ~ sP3(xy,xQ)
| spl16_19 ),
inference(resolution,[],[f546,f479]) ).
fof(f564,plain,
( ~ aSet0(xQ)
| ~ aElement0(xy)
| spl16_19 ),
inference(resolution,[],[f553,f251]) ).
fof(f565,plain,
( ~ aElement0(xy)
| spl16_19 ),
inference(forward_subsumption_resolution,[],[f564,f332]) ).
fof(f566,plain,
( $false
| spl16_19 ),
inference(forward_subsumption_resolution,[],[f565,f334]) ).
fof(f567,plain,
spl16_19,
inference(avatar_contradiction_clause,[],[f566]) ).
fof(f614,plain,
( ~ aSet0(xQ)
| ~ isFinite0(xQ)
| ~ aElement0(xy)
| spl16_18 ),
inference(resolution,[],[f257,f542]) ).
fof(f615,plain,
( ~ isFinite0(xQ)
| ~ aElement0(xy)
| spl16_18 ),
inference(forward_subsumption_resolution,[],[f614,f332]) ).
fof(f616,plain,
( ~ aElement0(xy)
| spl16_18 ),
inference(forward_subsumption_resolution,[],[f615,f331]) ).
fof(f617,plain,
( $false
| spl16_18 ),
inference(forward_subsumption_resolution,[],[f616,f334]) ).
fof(f618,plain,
spl16_18,
inference(avatar_contradiction_clause,[],[f617]) ).
fof(f697,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X0,sdtmndt0(X1,X2))
| aElementOf0(X0,X1)
| ~ sP3(X2,X1) ),
inference(resolution,[],[f243,f344]) ).
fof(f726,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ sP1(X1,X0) ),
inference(resolution,[],[f234,f342]) ).
fof(f727,plain,
( aSet0(xP)
| ~ spl16_8 ),
inference(resolution,[],[f234,f408]) ).
fof(f764,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X1,sdtpldt0(X2,X0))
| X0 = X1
| aElementOf0(X1,X2)
| ~ sP1(X0,X2) ),
inference(resolution,[],[f230,f342]) ).
fof(f765,plain,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(xQ,xy))
| ~ aElementOf0(X0,xP)
| xx = X0 )
| ~ spl16_8 ),
inference(resolution,[],[f230,f408]) ).
fof(f768,plain,
! [X2,X0,X1] :
( sK5(X1,sdtpldt0(X2,X0)) = X0
| aElementOf0(sK5(X1,sdtpldt0(X2,X0)),X2)
| ~ sP1(X0,X2)
| ~ aSet0(sdtpldt0(X2,X0))
| aSubsetOf0(sdtpldt0(X2,X0),X1)
| ~ aSet0(X1) ),
inference(resolution,[],[f764,f222]) ).
fof(f774,plain,
! [X2,X0,X1] :
( aElementOf0(sK5(X1,sdtpldt0(X2,X0)),X2)
| sK5(X1,sdtpldt0(X2,X0)) = X0
| ~ sP1(X0,X2)
| aSubsetOf0(sdtpldt0(X2,X0),X1)
| ~ aSet0(X1) ),
inference(forward_subsumption_resolution,[],[f768,f726]) ).
fof(f783,definition,
( spl16_42
<=> sP3(xy,xQ) ),
introduced(definition,[new_symbols(definition,[spl16_42])],[avatar_definition]) ).
fof(f784,plain,
( sP3(xy,xQ)
| ~ spl16_42 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f785,plain,
( ~ sP3(xy,xQ)
| spl16_42 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f806,plain,
! [X0] :
( aElementOf0(sK5(X0,xP),sdtmndt0(xQ,xy))
| xx = sK5(X0,xP)
| ~ sP1(xx,sdtmndt0(xQ,xy))
| aSubsetOf0(xP,X0)
| ~ aSet0(X0) ),
inference(superposition,[],[f774,f337]) ).
fof(f811,plain,
( ! [X0] :
( aElementOf0(sK5(X0,xP),sdtmndt0(xQ,xy))
| xx = sK5(X0,xP)
| aSubsetOf0(xP,X0)
| ~ aSet0(X0) )
| ~ spl16_7 ),
inference(forward_subsumption_resolution,[],[f806,f403]) ).
fof(f812,plain,
( ! [X0] :
( xx = sK5(X0,xP)
| aSubsetOf0(xP,X0)
| ~ aSet0(X0)
| aElementOf0(sK5(X0,xP),xQ)
| ~ sP3(xy,xQ) )
| ~ spl16_7 ),
inference(resolution,[],[f811,f697]) ).
fof(f897,plain,
! [X0,X1] :
( ~ aElementOf0(X0,sdtmndt0(X1,X0))
| ~ sP3(X0,X1) ),
inference(resolution,[],[f345,f344]) ).
fof(f898,plain,
( ~ sP3(xy,xQ)
| ~ aElementOf0(xy,xP)
| xx = xy
| ~ spl16_8 ),
inference(resolution,[],[f897,f765]) ).
fof(f914,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xQ,xy))
| ~ aElement0(X0)
| aElementOf0(X0,xP) )
| ~ spl16_8 ),
inference(resolution,[],[f233,f408]) ).
fof(f917,plain,
( ! [X0] :
( ~ aElement0(X0)
| aElementOf0(X0,xP)
| sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),X0)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ aElement0(X0)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ isFinite0(sdtmndt0(xQ,xy)) )
| ~ spl16_8 ),
inference(resolution,[],[f914,f281]) ).
fof(f923,plain,
( ! [X0] :
( ~ aElement0(X0)
| aElementOf0(X0,xP)
| sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),X0)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ isFinite0(sdtmndt0(xQ,xy)) )
| ~ spl16_8 ),
inference(duplicate_literal_removal,[],[f917]) ).
fof(f927,plain,
( ! [X0] :
( ~ aElement0(X0)
| aElementOf0(X0,xP)
| sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),X0)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ isFinite0(sdtmndt0(xQ,xy)) )
| ~ spl16_8
| ~ spl16_19 ),
inference(forward_subsumption_resolution,[],[f923,f545]) ).
fof(f929,plain,
( ! [X0] :
( aElementOf0(X0,xP)
| ~ aElement0(X0)
| sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),X0)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) )
| ~ spl16_8
| ~ spl16_18
| ~ spl16_19 ),
inference(forward_subsumption_resolution,[],[f927,f541]) ).
fof(f1049,plain,
( ~ aSet0(xQ)
| ~ aElement0(xy)
| spl16_42 ),
inference(resolution,[],[f785,f251]) ).
fof(f1050,plain,
( ~ aElement0(xy)
| spl16_42 ),
inference(forward_subsumption_resolution,[],[f1049,f332]) ).
fof(f1051,plain,
( $false
| spl16_42 ),
inference(forward_subsumption_resolution,[],[f1050,f334]) ).
fof(f1052,plain,
spl16_42,
inference(avatar_contradiction_clause,[],[f1051]) ).
fof(f1053,plain,
( ! [X0] :
( aElementOf0(sK5(X0,xP),xQ)
| aSubsetOf0(xP,X0)
| ~ aSet0(X0)
| xx = sK5(X0,xP) )
| ~ spl16_7
| ~ spl16_42 ),
inference(forward_subsumption_resolution,[],[f812,f784]) ).
fof(f1054,plain,
( ~ aElementOf0(xy,xP)
| xx = xy
| ~ spl16_8
| ~ spl16_42 ),
inference(forward_subsumption_resolution,[],[f898,f784]) ).
fof(f1056,definition,
( spl16_56
<=> xx = xy ),
introduced(definition,[new_symbols(definition,[spl16_56])],[avatar_definition]) ).
fof(f1058,plain,
( xx = xy
| ~ spl16_56 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f1060,definition,
( spl16_57
<=> aElementOf0(xy,xP) ),
introduced(definition,[new_symbols(definition,[spl16_57])],[avatar_definition]) ).
fof(f1062,plain,
( ~ aElementOf0(xy,xP)
| spl16_57 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f1063,plain,
( spl16_56
| ~ spl16_57
| ~ spl16_8
| ~ spl16_42 ),
inference(avatar_split_clause,[],[f1054,f783,f406,f1060,f1056]) ).
fof(f1076,plain,
( ! [X0] :
( aElementOf0(sK5(X0,xP),xS)
| ~ aSet0(X0)
| xx = sK5(X0,xP)
| aSubsetOf0(xP,X0) )
| ~ spl16_7
| ~ spl16_42 ),
inference(resolution,[],[f1053,f502]) ).
fof(f1158,plain,
( aElementOf0(xx,xQ)
| ~ spl16_56 ),
inference(superposition,[],[f333,f1058]) ).
fof(f1175,plain,
( $false
| ~ spl16_56 ),
inference(forward_subsumption_resolution,[],[f1158,f336]) ).
fof(f1176,plain,
~ spl16_56,
inference(avatar_contradiction_clause,[],[f1175]) ).
fof(f1193,plain,
( ~ aElement0(xy)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xy))
| ~ spl16_8
| ~ spl16_18
| ~ spl16_19
| spl16_57 ),
inference(resolution,[],[f1062,f929]) ).
fof(f1198,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xy))
| ~ spl16_8
| ~ spl16_18
| ~ spl16_19
| spl16_57 ),
inference(forward_subsumption_resolution,[],[f1193,f334]) ).
fof(f1201,plain,
( sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ spl16_8
| ~ spl16_18
| ~ spl16_19
| spl16_57 ),
inference(forward_demodulation,[],[f1198,f472]) ).
fof(f1203,plain,
( xk = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
| ~ spl16_8
| ~ spl16_18
| ~ spl16_19
| spl16_57 ),
inference(forward_demodulation,[],[f1201,f330]) ).
fof(f1578,plain,
( ~ aSet0(xP)
| aSubsetOf0(xP,xS)
| ~ aSet0(xS)
| ~ aSet0(xS)
| xx = sK5(xS,xP)
| aSubsetOf0(xP,xS)
| ~ spl16_7
| ~ spl16_42 ),
inference(resolution,[],[f223,f1076]) ).
fof(f1598,plain,
( ~ aSet0(xP)
| aSubsetOf0(xP,xS)
| ~ aSet0(xS)
| xx = sK5(xS,xP)
| ~ spl16_7
| ~ spl16_42 ),
inference(duplicate_literal_removal,[],[f1578]) ).
fof(f1615,plain,
( aSubsetOf0(xP,xS)
| ~ aSet0(xS)
| xx = sK5(xS,xP)
| ~ spl16_7
| ~ spl16_8
| ~ spl16_42 ),
inference(forward_subsumption_resolution,[],[f1598,f727]) ).
fof(f1626,plain,
( aSubsetOf0(xP,xS)
| xx = sK5(xS,xP)
| ~ spl16_7
| ~ spl16_8
| ~ spl16_42 ),
inference(forward_subsumption_resolution,[],[f1615,f325]) ).
fof(f1648,definition,
( spl16_110
<=> xx = sK5(xS,xP) ),
introduced(definition,[new_symbols(definition,[spl16_110])],[avatar_definition]) ).
fof(f1650,plain,
( xx = sK5(xS,xP)
| ~ spl16_110 ),
inference(avatar_component_clause,[],[f1648]) ).
fof(f1652,definition,
( spl16_111
<=> aSubsetOf0(xP,xS) ),
introduced(definition,[new_symbols(definition,[spl16_111])],[avatar_definition]) ).
fof(f1654,plain,
( aSubsetOf0(xP,xS)
| ~ spl16_111 ),
inference(avatar_component_clause,[],[f1652]) ).
fof(f1655,plain,
( spl16_110
| spl16_111
| ~ spl16_7
| ~ spl16_8
| ~ spl16_42 ),
inference(avatar_split_clause,[],[f1626,f783,f406,f402,f1652,f1648]) ).
fof(f1670,definition,
( spl16_114
<=> aElementOf0(xx,sdtmndt0(xQ,xy)) ),
introduced(definition,[new_symbols(definition,[spl16_114])],[avatar_definition]) ).
fof(f1671,plain,
( aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ spl16_114 ),
inference(avatar_component_clause,[],[f1670]) ).
fof(f1672,plain,
( ~ aElementOf0(xx,sdtmndt0(xQ,xy))
| spl16_114 ),
inference(avatar_component_clause,[],[f1670]) ).
fof(f1676,plain,
( ~ aElementOf0(xx,xS)
| ~ aSet0(xP)
| aSubsetOf0(xP,xS)
| ~ aSet0(xS)
| ~ spl16_110 ),
inference(superposition,[],[f223,f1650]) ).
fof(f1678,plain,
( ~ aSet0(xP)
| aSubsetOf0(xP,xS)
| ~ aSet0(xS)
| ~ spl16_110 ),
inference(forward_subsumption_resolution,[],[f1676,f328]) ).
fof(f1679,plain,
( aSubsetOf0(xP,xS)
| ~ aSet0(xS)
| ~ spl16_8
| ~ spl16_110 ),
inference(forward_subsumption_resolution,[],[f1678,f727]) ).
fof(f1680,plain,
( aSubsetOf0(xP,xS)
| ~ spl16_8
| ~ spl16_110 ),
inference(forward_subsumption_resolution,[],[f1679,f325]) ).
fof(f1681,plain,
( spl16_111
| ~ spl16_8
| ~ spl16_110 ),
inference(avatar_split_clause,[],[f1680,f1648,f406,f1652]) ).
fof(f1764,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xx))
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ isFinite0(sdtmndt0(xQ,xy))
| spl16_114 ),
inference(resolution,[],[f1672,f281]) ).
fof(f1767,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xx))
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ spl16_12
| spl16_114 ),
inference(forward_subsumption_resolution,[],[f1764,f439]) ).
fof(f1769,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xx))
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ spl16_12
| ~ spl16_19
| spl16_114 ),
inference(forward_subsumption_resolution,[],[f1767,f545]) ).
fof(f1771,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xx))
| ~ spl16_12
| ~ spl16_18
| ~ spl16_19
| spl16_114 ),
inference(forward_subsumption_resolution,[],[f1769,f541]) ).
fof(f1772,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(xP)
| ~ spl16_12
| ~ spl16_18
| ~ spl16_19
| spl16_114 ),
inference(forward_demodulation,[],[f1771,f337]) ).
fof(f1773,plain,
( xk = sbrdtbr0(xP)
| ~ spl16_8
| ~ spl16_12
| ~ spl16_18
| ~ spl16_19
| spl16_57
| spl16_114 ),
inference(forward_demodulation,[],[f1772,f1203]) ).
fof(f1777,plain,
( ! [X0] :
( aElementOf0(xP,slbdtsldtrb0(X0,xk))
| ~ aSubsetOf0(xP,X0)
| ~ aSet0(X0)
| ~ aElementOf0(xk,szNzAzT0) )
| ~ spl16_8
| ~ spl16_12
| ~ spl16_18
| ~ spl16_19
| spl16_57
| spl16_114 ),
inference(superposition,[],[f358,f1773]) ).
fof(f1778,plain,
( ! [X0] :
( aElementOf0(xP,slbdtsldtrb0(X0,xk))
| ~ aSubsetOf0(xP,X0)
| ~ aSet0(X0) )
| ~ spl16_8
| ~ spl16_12
| ~ spl16_18
| ~ spl16_19
| spl16_57
| spl16_114 ),
inference(forward_subsumption_resolution,[],[f1777,f322]) ).
fof(f1784,plain,
( aElementOf0(xP,sF15)
| ~ aSubsetOf0(xP,xS)
| ~ aSet0(xS)
| ~ spl16_8
| ~ spl16_12
| ~ spl16_18
| ~ spl16_19
| spl16_57
| spl16_114 ),
inference(superposition,[],[f1778,f362]) ).
fof(f1787,plain,
( ~ aSubsetOf0(xP,xS)
| ~ aSet0(xS)
| ~ spl16_8
| ~ spl16_12
| ~ spl16_18
| ~ spl16_19
| spl16_57
| spl16_114 ),
inference(forward_subsumption_resolution,[],[f1784,f363]) ).
fof(f1789,plain,
( ~ aSet0(xS)
| ~ spl16_8
| ~ spl16_12
| ~ spl16_18
| ~ spl16_19
| spl16_57
| ~ spl16_111
| spl16_114 ),
inference(forward_subsumption_resolution,[],[f1787,f1654]) ).
fof(f1790,plain,
( $false
| ~ spl16_8
| ~ spl16_12
| ~ spl16_18
| ~ spl16_19
| spl16_57
| ~ spl16_111
| spl16_114 ),
inference(forward_subsumption_resolution,[],[f1789,f325]) ).
fof(f1791,plain,
( ~ spl16_8
| ~ spl16_12
| ~ spl16_18
| ~ spl16_19
| spl16_57
| ~ spl16_111
| spl16_114 ),
inference(avatar_contradiction_clause,[],[f1790]) ).
fof(f1872,plain,
( aElementOf0(xx,xQ)
| ~ sP3(xy,xQ)
| ~ spl16_114 ),
inference(resolution,[],[f1671,f697]) ).
fof(f1877,plain,
( ~ sP3(xy,xQ)
| ~ spl16_114 ),
inference(forward_subsumption_resolution,[],[f1872,f336]) ).
fof(f1880,plain,
( $false
| ~ spl16_42
| ~ spl16_114 ),
inference(forward_subsumption_resolution,[],[f1877,f784]) ).
fof(f1881,plain,
( ~ spl16_42
| ~ spl16_114 ),
inference(avatar_contradiction_clause,[],[f1880]) ).
cnf(s6,plain,
( ~ spl16_7
| spl16_8 ),
inference(sat_conversion,[],[f409]) ).
cnf(s15,plain,
spl16_12,
inference(sat_conversion,[],[f536]) ).
cnf(s18,plain,
( spl16_7
| ~ spl16_12
| ~ spl16_19 ),
inference(sat_conversion,[],[f552]) ).
cnf(s19,plain,
spl16_19,
inference(sat_conversion,[],[f567]) ).
cnf(s22,plain,
spl16_18,
inference(sat_conversion,[],[f618]) ).
cnf(s48,plain,
spl16_42,
inference(sat_conversion,[],[f1052]) ).
cnf(s49,plain,
( ~ spl16_8
| ~ spl16_42
| spl16_56
| ~ spl16_57 ),
inference(sat_conversion,[],[f1063]) ).
cnf(s56,plain,
~ spl16_56,
inference(sat_conversion,[],[f1176]) ).
cnf(s80,plain,
( ~ spl16_7
| ~ spl16_8
| ~ spl16_42
| spl16_110
| spl16_111 ),
inference(sat_conversion,[],[f1655]) ).
cnf(s83,plain,
( ~ spl16_8
| ~ spl16_110
| spl16_111 ),
inference(sat_conversion,[],[f1681]) ).
cnf(s89,plain,
( ~ spl16_8
| ~ spl16_12
| ~ spl16_18
| ~ spl16_19
| spl16_57
| ~ spl16_111
| spl16_114 ),
inference(sat_conversion,[],[f1791]) ).
cnf(s90,plain,
( ~ spl16_42
| ~ spl16_114 ),
inference(sat_conversion,[],[f1881]) ).
cnf(s92,plain,
( ~ spl16_8
| ~ spl16_42
| ~ spl16_57 ),
inference(rat,[],[s49,s56]) ).
cnf(s93,plain,
~ spl16_114,
inference(rat,[],[s90,s48]) ).
cnf(s96,plain,
( spl16_7
| ~ spl16_12 ),
inference(rat,[],[s18,s19]) ).
cnf(s101,plain,
spl16_7,
inference(rat,[],[s96,s15]) ).
cnf(s111,plain,
spl16_8,
inference(rat,[],[s6,s101]) ).
cnf(s114,plain,
~ spl16_57,
inference(rat,[],[s92,s48,s111]) ).
cnf(s116,plain,
~ spl16_111,
inference(rat,[],[s89,s93,s111,s15,s19,s22,s114]) ).
cnf(s118,plain,
~ spl16_110,
inference(rat,[],[s83,s111,s116]) ).
cnf(s119,plain,
$false,
inference(rat,[],[s80,s111,s101,s48,s116,s118]) ).
fof(f1884,plain,
$false,
inference(avatar_sat_refutation,[],[s119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM554+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n014.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sun Sep 27 20:27:46 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.49 Running first-order theorem proving
% 0.23/0.49 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.85/3.04 % (1138201)Detected formulas, will run a generic FOF schedule.
% 8.85/3.04 % (1138210)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=742139675:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.85/3.04 % (1138212)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2765813849:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.85/3.04 % (1138210)Instruction limit reached!
% 8.85/3.04 % (1138210)------------------------------
% 8.85/3.04 % (1138210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/3.04 % (1138210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/3.04 % (1138210)CaDiCaL version: 2.1.3
% 8.85/3.04 % (1138210)Termination reason: Instruction limit
% 8.85/3.04 % (1138210)Termination phase: Saturation
% 8.85/3.04 % (1138210)Time elapsed: 0.060 s
% 8.85/3.04 % (1138210)Peak memory usage: 90 MB
% 8.85/3.04 % (1138210)Instructions burned: 109 (million)
% 8.85/3.04 % (1138209)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2060181722:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.85/3.04 % (1138208)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1647162740:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.85/3.04 % (1138207)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1619089681:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.85/3.04 % (1138211)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2566284160:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.85/3.04 % (1138213)dis-21_1_sil=8000:lcm=predicate:random_seed=839688663:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 8.85/3.04 % (1138212)Instruction limit reached!
% 8.85/3.04 % (1138212)------------------------------
% 8.85/3.04 % (1138212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/3.04 % (1138212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/3.04 % (1138212)CaDiCaL version: 2.1.3
% 8.85/3.04 % (1138212)Termination reason: Instruction limit
% 8.85/3.04 % (1138212)Termination phase: Saturation
% 8.85/3.04 % (1138212)Time elapsed: 0.156 s
% 8.85/3.04 % (1138212)Peak memory usage: 90 MB
% 8.85/3.04 % (1138212)Instructions burned: 139 (million)
% 8.85/3.04 % (1138211)Instruction limit reached!
% 8.85/3.04 % (1138211)------------------------------
% 8.85/3.04 % (1138211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/3.04 % (1138211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/3.04 % (1138211)CaDiCaL version: 2.1.3
% 8.85/3.04 % (1138211)Termination reason: Instruction limit
% 8.85/3.04 % (1138211)Termination phase: Saturation
% 8.85/3.04 % (1138211)Time elapsed: 0.113 s
% 8.85/3.04 % (1138211)Peak memory usage: 88 MB
% 8.85/3.04 % (1138211)Instructions burned: 119 (million)
% 8.85/3.04 % (1138213)Instruction limit reached!
% 8.85/3.04 % (1138213)------------------------------
% 8.85/3.04 % (1138213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/3.04 % (1138213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/3.04 % (1138213)CaDiCaL version: 2.1.3
% 8.85/3.04 % (1138213)Termination reason: Instruction limit
% 8.85/3.04 % (1138213)Termination phase: Saturation
% 8.85/3.04 % (1138213)Time elapsed: 0.095 s
% 8.85/3.04 % (1138213)Peak memory usage: 88 MB
% 8.85/3.04 % (1138213)Instructions burned: 129 (million)
% 8.85/3.04 % (1138216)lrs+10_1_sil=8000:sp=occurrence:random_seed=1855950737:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.85/3.04 % (1138222)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1596624806:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 8.85/3.04 % (1138223)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1684531085:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 8.85/3.04 % (1138222)Instruction limit reached!
% 8.85/3.04 % (1138222)------------------------------
% 8.85/3.04 % (1138222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/3.04 % (1138222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/3.04 % (1138222)CaDiCaL version: 2.1.3
% 8.85/3.04 % (1138222)Termination reason: Instruction limit
% 8.85/3.04 % (1138222)Termination phase: Saturation
% 8.85/3.04 % (1138222)Time elapsed: 0.068 s
% 8.85/3.04 % (1138222)Peak memory usage: 89 MB
% 8.85/3.04 % (1138222)Instructions burned: 159 (million)
% 8.85/3.04 % (1138224)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3229828273:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 8.85/3.04 % (1138216)Instruction limit reached!
% 8.85/3.04 % (1138216)------------------------------
% 8.85/3.04 % (1138216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/3.04 % (1138216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/3.04 % (1138216)CaDiCaL version: 2.1.3
% 8.85/3.04 % (1138216)Termination reason: Instruction limit
% 8.85/3.04 % (1138216)Termination phase: Saturation
% 8.85/3.04 % (1138216)Time elapsed: 0.302 s
% 8.85/3.04 % (1138216)Peak memory usage: 92 MB
% 8.85/3.04 % (1138216)Instructions burned: 285 (million)
% 8.85/3.04 % (1138223)Instruction limit reached!
% 8.85/3.04 % (1138223)------------------------------
% 8.85/3.04 % (1138223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/3.04 % (1138223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/3.04 % (1138223)CaDiCaL version: 2.1.3
% 8.85/3.04 % (1138223)Termination reason: Instruction limit
% 8.85/3.04 % (1138223)Termination phase: Saturation
% 8.85/3.04 % (1138223)Time elapsed: 0.298 s
% 8.85/3.04 % (1138223)Peak memory usage: 91 MB
% 8.85/3.04 % (1138223)Instructions burned: 325 (million)
% 8.85/3.04 % (1138224)Instruction limit reached!
% 8.85/3.04 % (1138224)------------------------------
% 8.85/3.04 % (1138224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/3.04 % (1138224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/3.04 % (1138224)CaDiCaL version: 2.1.3
% 8.85/3.04 % (1138224)Termination reason: Instruction limit
% 8.85/3.04 % (1138224)Termination phase: Saturation
% 8.85/3.04 % (1138224)Time elapsed: 0.236 s
% 8.85/3.04 % (1138224)Peak memory usage: 92 MB
% 8.85/3.04 % (1138224)Instructions burned: 248 (million)
% 8.85/3.04 % (1138230)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3175336265:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 8.85/3.04 % (1138228)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=903035246:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 8.85/3.04 % (1138231)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4273678933:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 8.85/3.04 % (1138234)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=778797769:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 8.85/3.04 % (1138228)Instruction limit reached!
% 8.85/3.04 % (1138228)------------------------------
% 8.85/3.04 % (1138228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/3.04 % (1138228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/3.04 % (1138228)CaDiCaL version: 2.1.3
% 8.85/3.04 % (1138228)Termination reason: Instruction limit
% 8.85/3.04 % (1138228)Termination phase: Saturation
% 8.85/3.04 % (1138228)Time elapsed: 0.300 s
% 8.85/3.04 % (1138228)Peak memory usage: 89 MB
% 8.85/3.04 % (1138228)Instructions burned: 294 (million)
% 8.85/3.04 % (1138231)Instruction limit reached!
% 8.85/3.04 % (1138231)------------------------------
% 8.85/3.04 % (1138231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/3.04 % (1138231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/3.04 % (1138231)CaDiCaL version: 2.1.3
% 8.85/3.04 % (1138231)Termination reason: Instruction limit
% 8.85/3.04 % (1138231)Termination phase: Saturation
% 8.85/3.04 % (1138231)Time elapsed: 0.122 s
% 8.85/3.04 % (1138231)Peak memory usage: 90 MB
% 8.85/3.04 % (1138231)Instructions burned: 113 (million)
% 8.85/3.04 % (1138234)Instruction limit reached!
% 8.85/3.04 % (1138234)------------------------------
% 8.85/3.04 % (1138234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/3.04 % (1138234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/3.04 % (1138234)CaDiCaL version: 2.1.3
% 8.85/3.04 % (1138234)Termination reason: Instruction limit
% 8.85/3.04 % (1138234)Termination phase: Saturation
% 8.85/3.04 % (1138234)Time elapsed: 0.115 s
% 8.85/3.04 % (1138234)Peak memory usage: 89 MB
% 8.85/3.04 % (1138234)Instructions burned: 127 (million)
% 8.85/3.04 % (1138237)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3803262801:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 8.85/3.04 % (1138237)Instruction limit reached!
% 8.85/3.04 % (1138237)------------------------------
% 8.85/3.04 % (1138237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.85/3.04 % (1138237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.85/3.04 % (1138237)CaDiCaL version: 2.1.3
% 8.85/3.04 % (1138237)Termination reason: Instruction limit
% 8.85/3.04 % (1138237)Termination phase: Saturation
% 8.85/3.04 % (1138237)Time elapsed: 0.117 s
% 8.85/3.04 % (1138237)Peak memory usage: 89 MB
% 8.85/3.04 % (1138237)Instructions burned: 114 (million)
% 8.85/3.04 % (1138207)First to succeed.
% 8.85/3.04 % (1138238)lrs+10_1_sil=8000:sp=occurrence:random_seed=2014116036:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 8.85/3.04 % (1138207)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1138201"
% 8.85/3.04 % (1138230)Also succeeded, but the first one will report.
% 8.85/3.04 % (1138239)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2081667819:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 8.85/3.04 % (1138241)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4221761032:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 8.85/3.04 % (1138207)Refutation found. Thanks to Tanya!
% 8.85/3.04 % SZS status Theorem for theBenchmark
% 8.85/3.04 % SZS output start Proof for theBenchmark
% See solution above
% 14.84/3.33 % (1138207)------------------------------
% 14.84/3.33 % (1138207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.84/3.33 % (1138207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/3.33 % (1138207)CaDiCaL version: 2.1.3
% 14.84/3.33 % (1138207)Termination reason: Refutation
% 14.84/3.33 % (1138207)Time elapsed: 1.299 s
% 14.84/3.33 % (1138207)Peak memory usage: 132 MB
% 14.84/3.33 % (1138207)Instructions burned: 1194 (million)
% 14.84/3.33 % (1138207)------------------------------
% 14.84/3.33 % (1138207)------------------------------
% 14.84/3.33 % (1138201)Success in time 1.99 s
% 14.84/3.33 % Vampire exiting
%------------------------------------------------------------------------------