%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM558+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:15:44 PM UTC 2026
% Result : Theorem 2.66s 1.29s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 25
% Syntax : Number of formulae : 142 ( 30 unt; 11 def)
% Number of atoms : 625 ( 97 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 777 ( 294 ~; 302 |; 141 &)
% ( 33 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 8 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-3 aty)
% Number of variables : 200 ( 0 sgn 188 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
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/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(f61,axiom,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202) ).
fof(f62,axiom,
( aSet0(xS)
& aSet0(xT)
& xk != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).
fof(f63,axiom,
( aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& slbdtsldtrb0(xS,xk) != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2227) ).
fof(f64,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2256) ).
fof(f66,axiom,
( aSet0(xQ)
& isFinite0(xQ)
& sbrdtbr0(xQ) = xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2291) ).
fof(f67,axiom,
( aElement0(xy)
& aElementOf0(xy,xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2304) ).
fof(f70,axiom,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2357) ).
fof(f71,axiom,
aElementOf0(xP,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2378) ).
fof(f72,conjecture,
aElementOf0(xx,xT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f73,negated_conjecture,
~ aElementOf0(xx,xT),
inference(negated_conjecture,[status(cth)],[f72]) ).
fof(f74,plain,
~ aElementOf0(xx,xT),
inference(flattening,[],[f73]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f99,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(f100,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,[],[f99]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f117,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(f118,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,[],[f117]) ).
fof(f125,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(f126,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,[],[f125]) ).
fof(f127,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(f128,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(f129,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f118,f128,f127]) ).
fof(f130,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(f131,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(f132,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f126,f131,f130]) ).
fof(f139,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,[],[f92]) ).
fof(f140,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,[],[f139]) ).
fof(f141,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,[],[f140]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK6(X0,X1),X0)
& aElementOf0(sK6(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f141]) ).
fof(f143,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,[],[f100]) ).
fof(f144,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,[],[f143]) ).
fof(f145,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,[],[f144]) ).
fof(f146,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aSubsetOf0(sK7(X0,X1,X2),X0)
| sbrdtbr0(sK7(X0,X1,X2)) != X1
| ~ aElementOf0(sK7(X0,X1,X2),X2) )
& ( ( aSubsetOf0(sK7(X0,X1,X2),X0)
& sbrdtbr0(sK7(X0,X1,X2)) = X1 )
| aElementOf0(sK7(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,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f145]) ).
fof(f149,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,[],[f128]) ).
fof(f150,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,[],[f149]) ).
fof(f151,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,[],[f127]) ).
fof(f152,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,[],[f151]) ).
fof(f153,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,[],[f152]) ).
fof(f154,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ( ( ~ aElement0(sK9(X0,X1,X2))
| ( ~ aElementOf0(sK9(X0,X1,X2),X1)
& sK9(X0,X1,X2) != X2 )
| ~ aElementOf0(sK9(X0,X1,X2),X0) )
& ( ( aElement0(sK9(X0,X1,X2))
& ( aElementOf0(sK9(X0,X1,X2),X1)
| sK9(X0,X1,X2) = X2 ) )
| aElementOf0(sK9(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,[sK9]),skolemize(X3,sK9(X0,X1,X2))],[f153]) ).
fof(f155,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,[],[f131]) ).
fof(f156,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,[],[f155]) ).
fof(f157,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,[],[f130]) ).
fof(f158,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,[],[f157]) ).
fof(f159,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,[],[f158]) ).
fof(f160,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ~ aSet0(X0)
| ( ( ~ aElement0(sK10(X0,X1,X2))
| ~ aElementOf0(sK10(X0,X1,X2),X1)
| sK10(X0,X1,X2) = X2
| ~ aElementOf0(sK10(X0,X1,X2),X0) )
& ( ( aElement0(sK10(X0,X1,X2))
& aElementOf0(sK10(X0,X1,X2),X1)
& sK10(X0,X1,X2) != X2 )
| aElementOf0(sK10(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,[sK10]),skolemize(X3,sK10(X0,X1,X2))],[f159]) ).
fof(f161,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f61]) ).
fof(f163,plain,
aSet0(xT),
inference(cnf_transformation,[],[f62]) ).
fof(f164,plain,
aSet0(xS),
inference(cnf_transformation,[],[f62]) ).
fof(f166,plain,
aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
inference(cnf_transformation,[],[f63]) ).
fof(f167,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f64]) ).
fof(f171,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f173,plain,
aElement0(xy),
inference(cnf_transformation,[],[f67]) ).
fof(f176,plain,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
inference(cnf_transformation,[],[f70]) ).
fof(f177,plain,
aElementOf0(xP,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f71]) ).
fof(f178,plain,
~ aElementOf0(xx,xT),
inference(cnf_transformation,[],[f74]) ).
fof(f196,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f204,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f206,plain,
! [X2,X0,X1] :
( aSet0(X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f216,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f222,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| sdtpldt0(X1,X0) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f226,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X0)
| ~ aElement0(X4)
| X2 != X4
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f154]) ).
fof(f233,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f237,plain,
! [X2,X0,X1] :
( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f238,plain,
! [X2,X0,X1] :
( sdtmndt0(X1,X0) = X2
| ~ sP2(X2,X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f243,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| aSet0(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f248,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f265,plain,
! [X0,X1] :
( aSet0(slbdtsldtrb0(X0,X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f206]) ).
fof(f268,plain,
! [X0,X1,X4] :
( ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| aSubsetOf0(X4,X0)
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f204]) ).
fof(f270,plain,
! [X0,X1] :
( sP0(sdtpldt0(X1,X0),X1,X0)
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f222]) ).
fof(f271,plain,
! [X0,X1,X4] :
( ~ sP0(X0,X1,X4)
| ~ aElement0(X4)
| aElementOf0(X4,X0) ),
inference(equality_resolution,[],[f226]) ).
fof(f272,plain,
! [X0,X1] :
( sP2(sdtmndt0(X1,X0),X1,X0)
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f237]) ).
fof(f308,plain,
( aElement0(xx)
| ~ aSet0(xS) ),
inference(resolution,[],[f167,f216]) ).
fof(f317,definition,
( spl23_6
<=> aElement0(xx) ),
introduced(definition,[new_symbols(definition,[spl23_6])],[avatar_definition]) ).
fof(f319,plain,
( aElement0(xx)
| ~ spl23_6 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f326,plain,
aElement0(xx),
inference(forward_subsumption_resolution,[],[f308,f164]) ).
fof(f327,plain,
spl23_6,
inference(avatar_split_clause,[],[f326,f317]) ).
fof(f413,plain,
! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
| aElementOf0(X0,slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk)) ),
inference(resolution,[],[f166,f196]) ).
fof(f423,definition,
( spl23_18
<=> aSet0(slbdtsldtrb0(xT,xk)) ),
introduced(definition,[new_symbols(definition,[spl23_18])],[avatar_definition]) ).
fof(f425,plain,
( ~ aSet0(slbdtsldtrb0(xT,xk))
| spl23_18 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f433,definition,
( spl23_20
<=> ! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
| aElementOf0(X0,slbdtsldtrb0(xT,xk)) ) ),
introduced(definition,[new_symbols(definition,[spl23_20])],[avatar_definition]) ).
fof(f434,plain,
( ! [X0] :
( ~ aElementOf0(X0,slbdtsldtrb0(xS,xk))
| aElementOf0(X0,slbdtsldtrb0(xT,xk)) )
| ~ spl23_20 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f435,plain,
( ~ spl23_18
| spl23_20 ),
inference(avatar_split_clause,[],[f413,f433,f423]) ).
fof(f439,plain,
( sP0(xP,sdtmndt0(xQ,xy),xx)
| ~ sP1(xx,sdtmndt0(xQ,xy)) ),
inference(superposition,[],[f270,f176]) ).
fof(f450,definition,
( spl23_21
<=> sP1(xx,sdtmndt0(xQ,xy)) ),
introduced(definition,[new_symbols(definition,[spl23_21])],[avatar_definition]) ).
fof(f452,plain,
( ~ sP1(xx,sdtmndt0(xQ,xy))
| spl23_21 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f458,definition,
( spl23_23
<=> sP0(xP,sdtmndt0(xQ,xy),xx) ),
introduced(definition,[new_symbols(definition,[spl23_23])],[avatar_definition]) ).
fof(f460,plain,
( sP0(xP,sdtmndt0(xQ,xy),xx)
| ~ spl23_23 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f461,plain,
( ~ spl23_21
| spl23_23 ),
inference(avatar_split_clause,[],[f439,f458,f450]) ).
fof(f464,definition,
( spl23_24
<=> sP3(xy,xQ) ),
introduced(definition,[new_symbols(definition,[spl23_24])],[avatar_definition]) ).
fof(f465,plain,
( sP3(xy,xQ)
| ~ spl23_24 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f466,plain,
( ~ sP3(xy,xQ)
| spl23_24 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f477,definition,
( spl23_27
<=> aSet0(sdtmndt0(xQ,xy)) ),
introduced(definition,[new_symbols(definition,[spl23_27])],[avatar_definition]) ).
fof(f478,plain,
( aSet0(sdtmndt0(xQ,xy))
| ~ spl23_27 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f479,plain,
( ~ aSet0(sdtmndt0(xQ,xy))
| spl23_27 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f563,plain,
( ~ aSet0(xQ)
| ~ aElement0(xy)
| spl23_24 ),
inference(resolution,[],[f466,f248]) ).
fof(f564,plain,
( ~ aElement0(xy)
| spl23_24 ),
inference(forward_subsumption_resolution,[],[f563,f171]) ).
fof(f565,plain,
( $false
| spl23_24 ),
inference(forward_subsumption_resolution,[],[f564,f173]) ).
fof(f566,plain,
spl23_24,
inference(avatar_contradiction_clause,[],[f565]) ).
fof(f616,plain,
( ~ aSet0(xT)
| ~ aElementOf0(xk,szNzAzT0)
| spl23_18 ),
inference(resolution,[],[f425,f265]) ).
fof(f617,plain,
( ~ aElementOf0(xk,szNzAzT0)
| spl23_18 ),
inference(forward_subsumption_resolution,[],[f616,f163]) ).
fof(f618,plain,
( $false
| spl23_18 ),
inference(forward_subsumption_resolution,[],[f617,f161]) ).
fof(f619,plain,
spl23_18,
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f637,plain,
( ! [X0] :
( ~ aSet0(X0)
| ~ sP2(X0,xQ,xy)
| ~ sP3(xy,xQ) )
| spl23_27 ),
inference(superposition,[],[f479,f238]) ).
fof(f638,plain,
( ! [X0] :
( ~ sP2(X0,xQ,xy)
| ~ sP3(xy,xQ) )
| spl23_27 ),
inference(forward_subsumption_resolution,[],[f637,f243]) ).
fof(f639,plain,
( ! [X0] : ~ sP2(X0,xQ,xy)
| ~ spl23_24
| spl23_27 ),
inference(forward_subsumption_resolution,[],[f638,f465]) ).
fof(f640,plain,
( ~ sP3(xy,xQ)
| ~ spl23_24
| spl23_27 ),
inference(resolution,[],[f639,f272]) ).
fof(f641,plain,
( $false
| ~ spl23_24
| spl23_27 ),
inference(forward_subsumption_resolution,[],[f640,f465]) ).
fof(f642,plain,
( ~ spl23_24
| spl23_27 ),
inference(avatar_contradiction_clause,[],[f641]) ).
fof(f649,plain,
( ~ aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| spl23_21 ),
inference(resolution,[],[f452,f233]) ).
fof(f652,plain,
( ~ aElement0(xx)
| spl23_21
| ~ spl23_27 ),
inference(forward_subsumption_resolution,[],[f649,f478]) ).
fof(f653,plain,
( $false
| ~ spl23_6
| spl23_21
| ~ spl23_27 ),
inference(forward_subsumption_resolution,[],[f652,f319]) ).
fof(f654,plain,
( ~ spl23_6
| spl23_21
| ~ spl23_27 ),
inference(avatar_contradiction_clause,[],[f653]) ).
fof(f664,plain,
( ~ aElement0(xx)
| aElementOf0(xx,xP)
| ~ spl23_23 ),
inference(resolution,[],[f460,f271]) ).
fof(f670,plain,
( aElementOf0(xx,xP)
| ~ spl23_6
| ~ spl23_23 ),
inference(forward_subsumption_resolution,[],[f664,f319]) ).
fof(f738,plain,
( aElementOf0(xP,slbdtsldtrb0(xT,xk))
| ~ spl23_20 ),
inference(resolution,[],[f434,f177]) ).
fof(f801,plain,
( aSubsetOf0(xP,xT)
| ~ aSet0(xT)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl23_20 ),
inference(resolution,[],[f738,f268]) ).
fof(f806,plain,
( aSubsetOf0(xP,xT)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl23_20 ),
inference(forward_subsumption_resolution,[],[f801,f163]) ).
fof(f807,plain,
( aSubsetOf0(xP,xT)
| ~ spl23_20 ),
inference(forward_subsumption_resolution,[],[f806,f161]) ).
fof(f877,plain,
( ! [X0] :
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xT)
| ~ aSet0(xT) )
| ~ spl23_20 ),
inference(resolution,[],[f807,f196]) ).
fof(f884,plain,
( ! [X0] :
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xT) )
| ~ spl23_20 ),
inference(forward_subsumption_resolution,[],[f877,f163]) ).
fof(f1173,plain,
( aElementOf0(xx,xT)
| ~ spl23_6
| ~ spl23_20
| ~ spl23_23 ),
inference(resolution,[],[f884,f670]) ).
fof(f1184,plain,
( $false
| ~ spl23_6
| ~ spl23_20
| ~ spl23_23 ),
inference(forward_subsumption_resolution,[],[f1173,f178]) ).
fof(f1185,plain,
( ~ spl23_6
| ~ spl23_20
| ~ spl23_23 ),
inference(avatar_contradiction_clause,[],[f1184]) ).
cnf(s6,plain,
spl23_6,
inference(sat_conversion,[],[f327]) ).
cnf(s18,plain,
( ~ spl23_18
| spl23_20 ),
inference(sat_conversion,[],[f435]) ).
cnf(s21,plain,
( ~ spl23_21
| spl23_23 ),
inference(sat_conversion,[],[f461]) ).
cnf(s33,plain,
spl23_24,
inference(sat_conversion,[],[f566]) ).
cnf(s41,plain,
spl23_18,
inference(sat_conversion,[],[f619]) ).
cnf(s43,plain,
( ~ spl23_24
| spl23_27 ),
inference(sat_conversion,[],[f642]) ).
cnf(s44,plain,
( ~ spl23_6
| spl23_21
| ~ spl23_27 ),
inference(sat_conversion,[],[f654]) ).
cnf(s79,plain,
( ~ spl23_6
| ~ spl23_20
| ~ spl23_23 ),
inference(sat_conversion,[],[f1185]) ).
cnf(s84,plain,
spl23_27,
inference(rat,[],[s43,s33]) ).
cnf(s97,plain,
spl23_20,
inference(rat,[],[s18,s41]) ).
cnf(s110,plain,
~ spl23_23,
inference(rat,[],[s79,s97,s6]) ).
cnf(s111,plain,
spl23_21,
inference(rat,[],[s44,s84,s6]) ).
cnf(s112,plain,
$false,
inference(rat,[],[s21,s110,s111]) ).
fof(f1187,plain,
$false,
inference(avatar_sat_refutation,[],[s112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM558+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 20:29:15 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.66/1.29 % (2374209)Detected formulas, will run a generic FOF schedule.
% 2.66/1.29 % (2374219)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1199761897:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.66/1.29 % (2374216)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=3511894597:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.66/1.29 % (2374215)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=997034348:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.66/1.29 % (2374217)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2157023965:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.66/1.29 % (2374214)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=2330258667:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.66/1.29 % (2374218)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=741863624:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.66/1.29 % (2374220)dis-21_1_sil=8000:lcm=predicate:random_seed=3148984970: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)
% 2.66/1.29 % (2374219)Instruction limit reached!
% 2.66/1.29 % (2374219)------------------------------
% 2.66/1.29 % (2374219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.29 % (2374219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.29 % (2374219)CaDiCaL version: 2.1.3
% 2.66/1.29 % (2374219)Termination reason: Instruction limit
% 2.66/1.29 % (2374219)Termination phase: Saturation
% 2.66/1.29 % (2374219)Time elapsed: 0.054 s
% 2.66/1.29 % (2374219)Peak memory usage: 90 MB
% 2.66/1.29 % (2374219)Instructions burned: 141 (million)
% 2.66/1.29 % (2374217)First to succeed.
% 2.66/1.29 % (2374217)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2374209"
% 2.66/1.29 % (2374220)Instruction limit reached!
% 2.66/1.29 % (2374220)------------------------------
% 2.66/1.29 % (2374220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.29 % (2374220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.29 % (2374220)CaDiCaL version: 2.1.3
% 2.66/1.29 % (2374220)Termination reason: Instruction limit
% 2.66/1.29 % (2374220)Termination phase: Saturation
% 2.66/1.29 % (2374220)Time elapsed: 0.060 s
% 2.66/1.29 % (2374220)Peak memory usage: 88 MB
% 2.66/1.29 % (2374220)Instructions burned: 130 (million)
% 2.66/1.29 % (2374218)Instruction limit reached!
% 2.66/1.29 % (2374218)------------------------------
% 2.66/1.29 % (2374218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.29 % (2374218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.29 % (2374218)CaDiCaL version: 2.1.3
% 2.66/1.29 % (2374218)Termination reason: Instruction limit
% 2.66/1.29 % (2374218)Termination phase: Saturation
% 2.66/1.29 % (2374218)Time elapsed: 0.069 s
% 2.66/1.29 % (2374218)Peak memory usage: 88 MB
% 2.66/1.29 % (2374218)Instructions burned: 119 (million)
% 2.66/1.29 % (2374228)lrs+10_1_sil=8000:sp=occurrence:random_seed=2595558076:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.66/1.29 % (2374229)lrs+10_1_sil=32000:urr=on:br=off:random_seed=708884993:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.66/1.29 % (2374229)Refutation not found, incomplete strategy
% 2.66/1.29 % (2374229)------------------------------
% 2.66/1.29 % (2374229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.29 % (2374229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.29 % (2374229)CaDiCaL version: 2.1.3
% 2.66/1.29 % (2374229)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.29 % (2374229)Time elapsed: 0.002 s
% 2.66/1.29 % (2374229)Peak memory usage: 88 MB
% 2.66/1.29 % (2374229)Instructions burned: 1 (million)
% 2.66/1.29 % (2374228)Instruction limit reached!
% 2.66/1.29 % (2374228)------------------------------
% 2.66/1.29 % (2374228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.29 % (2374228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.29 % (2374228)CaDiCaL version: 2.1.3
% 2.66/1.29 % (2374228)Termination reason: Instruction limit
% 2.66/1.29 % (2374228)Termination phase: Saturation
% 2.66/1.29 % (2374228)Time elapsed: 0.098 s
% 2.66/1.29 % (2374228)Peak memory usage: 92 MB
% 2.66/1.29 % (2374228)Instructions burned: 286 (million)
% 2.66/1.29 % (2374230)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1519338405:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.66/1.29 % (2374217)Refutation found. Thanks to Tanya!
% 2.66/1.29 % SZS status Theorem for theBenchmark
% 2.66/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.38 % (2374217)------------------------------
% 3.56/1.38 % (2374217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.38 % (2374217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.38 % (2374217)CaDiCaL version: 2.1.3
% 3.56/1.38 % (2374217)Termination reason: Refutation
% 3.56/1.38 % (2374217)Time elapsed: 0.023 s
% 3.56/1.38 % (2374217)Peak memory usage: 90 MB
% 3.56/1.38 % (2374217)Instructions burned: 31 (million)
% 3.56/1.38 % (2374217)------------------------------
% 3.56/1.38 % (2374217)------------------------------
% 3.56/1.38 % (2374209)Success in time 0.44 s
% 3.56/1.38 % Vampire exiting
%------------------------------------------------------------------------------