%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM619+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 : n004.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 12:16:01 PM UTC 2026
% Result : Theorem 6.44s 1.86s
% Output : Refutation 7.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 44
% Syntax : Number of formulae : 238 ( 56 unt; 19 def)
% Number of atoms : 765 ( 124 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 886 ( 359 ~; 371 |; 109 &)
% ( 31 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 16 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 15 con; 0-3 aty)
% Number of variables : 193 ( 0 sgn 180 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f9,axiom,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> X0 != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
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(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(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f37,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
fof(f47,axiom,
! [X0] :
( ( aSubsetOf0(X0,szNzAzT0)
& X0 != slcrc0 )
=> ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(f49,axiom,
! [X0,X1] :
( ( aSubsetOf0(X0,szNzAzT0)
& aSubsetOf0(X1,szNzAzT0)
& X0 != slcrc0
& X1 != slcrc0 )
=> ( ( aElementOf0(szmzizndt0(X0),X1)
& aElementOf0(szmzizndt0(X1),X0) )
=> szmzizndt0(X0) = szmzizndt0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMinMin) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
fof(f83,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( sdtlseqdt0(X1,X0)
=> aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3754) ).
fof(f91,axiom,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).
fof(f96,axiom,
( aSet0(xO)
& isCountable0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4908) ).
fof(f100,axiom,
( aSubsetOf0(xQ,xO)
& xQ != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5093) ).
fof(f101,axiom,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5106) ).
fof(f103,axiom,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).
fof(f104,axiom,
( aSet0(xP)
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5164) ).
fof(f106,axiom,
aElementOf0(xp,xO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5182) ).
fof(f107,axiom,
aSubsetOf0(xP,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5195) ).
fof(f111,axiom,
( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5309) ).
fof(f113,axiom,
aElementOf0(xx,xP),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5348) ).
fof(f115,axiom,
( aElementOf0(xm,szNzAzT0)
& xx = sdtlpdtrp0(xe,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5389) ).
fof(f116,axiom,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5401) ).
fof(f117,conjecture,
aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f118,negated_conjecture,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(negated_conjecture,[status(cth)],[f117]) ).
fof(f126,plain,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(flattening,[],[f118]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f128,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f131,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f132,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(flattening,[],[f131]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f143,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(f144,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,[],[f143]) ).
fof(f156,plain,
! [X0] :
( ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f172,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f173,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f172]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(ennf_transformation,[],[f47]) ).
fof(f187,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f186]) ).
fof(f190,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X0),X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSubsetOf0(X1,szNzAzT0)
| slcrc0 = X0
| slcrc0 = X1 ),
inference(ennf_transformation,[],[f49]) ).
fof(f191,plain,
! [X0,X1] :
( szmzizndt0(X0) = szmzizndt0(X1)
| ~ aElementOf0(szmzizndt0(X0),X1)
| ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSubsetOf0(X1,szNzAzT0)
| slcrc0 = X0
| slcrc0 = X1 ),
inference(flattening,[],[f190]) ).
fof(f230,plain,
! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f231,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f232,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f231]) ).
fof(f246,plain,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X0] :
( sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f253,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(f254,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(f255,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f144,f254,f253]) ).
fof(f256,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f128]) ).
fof(f257,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f256]) ).
fof(f258,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f257]) ).
fof(f259,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| aElementOf0(sK4(X0),X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f258]) ).
fof(f260,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,[],[f133]) ).
fof(f261,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,[],[f260]) ).
fof(f262,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,[],[f261]) ).
fof(f263,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))],[f262]) ).
fof(f270,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,[],[f254]) ).
fof(f271,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,[],[f270]) ).
fof(f272,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,[],[f253]) ).
fof(f273,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,[],[f272]) ).
fof(f274,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,[],[f273]) ).
fof(f275,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))],[f274]) ).
fof(f281,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) )
| szmzizndt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(nnf_transformation,[],[f187]) ).
fof(f282,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) )
| szmzizndt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f281]) ).
fof(f283,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) ) )
| szmzizndt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(rectify,[],[f282]) ).
fof(f284,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ( ~ sdtlseqdt0(X1,sK10(X0,X1))
& aElementOf0(sK10(X0,X1),X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) ) )
| szmzizndt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f283]) ).
fof(f319,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f321,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f259]) ).
fof(f325,plain,
! [X0] :
( slcrc0 != X0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f326,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f327,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f346,plain,
! [X2,X0,X1] :
( sP2(X2,X1,X0)
| sdtmndt0(X1,X0) != X2
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f271]) ).
fof(f348,plain,
! [X2,X0,X1,X4] :
( X2 != X4
| ~ aElementOf0(X4,X0)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f275]) ).
fof(f357,plain,
! [X0,X1] :
( sP3(X1,X0)
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f255]) ).
fof(f365,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f368,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f381,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X1),X0)
| sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f394,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f284]) ).
fof(f401,plain,
! [X0,X1] :
( ~ aElementOf0(szmzizndt0(X1),X0)
| ~ aElementOf0(szmzizndt0(X0),X1)
| szmzizndt0(X0) = szmzizndt0(X1)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSubsetOf0(X1,szNzAzT0)
| slcrc0 = X0
| slcrc0 = X1 ),
inference(cnf_transformation,[],[f191]) ).
fof(f483,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f484,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f485,plain,
! [X0,X1] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),sdtlpdtrp0(xN,X1))
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f501,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f513,plain,
aSet0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f519,plain,
slcrc0 != xQ,
inference(cnf_transformation,[],[f100]) ).
fof(f521,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(cnf_transformation,[],[f101]) ).
fof(f523,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[],[f103]) ).
fof(f524,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(cnf_transformation,[],[f104]) ).
fof(f527,plain,
aElementOf0(xp,xO),
inference(cnf_transformation,[],[f106]) ).
fof(f528,plain,
aSubsetOf0(xP,xQ),
inference(cnf_transformation,[],[f107]) ).
fof(f532,plain,
xp = sdtlpdtrp0(xe,xn),
inference(cnf_transformation,[],[f111]) ).
fof(f533,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f111]) ).
fof(f536,plain,
aElementOf0(xx,xP),
inference(cnf_transformation,[],[f113]) ).
fof(f540,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f115]) ).
fof(f541,plain,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f116]) ).
fof(f542,plain,
~ aElementOf0(xx,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnf_transformation,[],[f126]) ).
fof(f543,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f321]) ).
fof(f545,plain,
( ~ aSet0(slcrc0)
| ~ isCountable0(slcrc0) ),
inference(equality_resolution,[],[f325]) ).
fof(f548,plain,
! [X0,X1] :
( sP2(sdtmndt0(X1,X0),X1,X0)
| ~ sP3(X0,X1) ),
inference(equality_resolution,[],[f346]) ).
fof(f549,plain,
! [X0,X1,X4] :
( ~ sP2(X0,X1,X4)
| ~ aElementOf0(X4,X0) ),
inference(equality_resolution,[],[f348]) ).
fof(f551,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f394]) ).
fof(f580,definition,
sF29 = szszuzczcdt0(xn),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f581,plain,
szszuzczcdt0(xn) = sF29,
inference(reorient_equations,[],[f580]) ).
fof(f582,definition,
sF30 = sdtlpdtrp0(xN,sF29),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
fof(f583,plain,
sdtlpdtrp0(xN,sF29) = sF30,
inference(reorient_equations,[],[f582]) ).
fof(f584,plain,
~ aElementOf0(xx,sF30),
inference(definition_folding,[],[f542,f583,f581]) ).
fof(f589,definition,
( spl31_1
<=> aSet0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl31_1])],[avatar_definition]) ).
fof(f598,definition,
( spl31_3
<=> isCountable0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl31_3])],[avatar_definition]) ).
fof(f600,plain,
( ~ isCountable0(slcrc0)
| spl31_3 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f601,plain,
( ~ spl31_3
| ~ spl31_1 ),
inference(avatar_split_clause,[],[f545,f589,f598]) ).
fof(f602,plain,
spl31_1,
inference(avatar_split_clause,[],[f543,f589]) ).
fof(f605,plain,
( aElementOf0(xx,sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,xm) ),
inference(superposition,[],[f551,f541]) ).
fof(f607,definition,
( spl31_4
<=> slcrc0 = sdtlpdtrp0(xN,xm) ),
introduced(definition,[new_symbols(definition,[spl31_4])],[avatar_definition]) ).
fof(f609,plain,
( slcrc0 = sdtlpdtrp0(xN,xm)
| ~ spl31_4 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f611,definition,
( spl31_5
<=> aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl31_5])],[avatar_definition]) ).
fof(f612,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| ~ spl31_5 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f613,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| spl31_5 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f615,definition,
( spl31_6
<=> aElementOf0(xx,sdtlpdtrp0(xN,xm)) ),
introduced(definition,[new_symbols(definition,[spl31_6])],[avatar_definition]) ).
fof(f617,plain,
( aElementOf0(xx,sdtlpdtrp0(xN,xm))
| ~ spl31_6 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f618,plain,
( spl31_4
| ~ spl31_5
| spl31_6 ),
inference(avatar_split_clause,[],[f605,f615,f611,f607]) ).
fof(f619,plain,
( ~ aElementOf0(xm,szNzAzT0)
| spl31_5 ),
inference(resolution,[],[f484,f613]) ).
fof(f620,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(sdtlpdtrp0(xN,X0))
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f484,f327]) ).
fof(f624,definition,
( spl31_7
<=> aElementOf0(sF29,szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl31_7])],[avatar_definition]) ).
fof(f625,plain,
( aElementOf0(sF29,szNzAzT0)
| ~ spl31_7 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f626,plain,
( ~ aElementOf0(sF29,szNzAzT0)
| spl31_7 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f633,plain,
! [X0] :
( aSet0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f620,f365]) ).
fof(f634,plain,
( $false
| spl31_5 ),
inference(forward_subsumption_resolution,[],[f619,f540]) ).
fof(f635,plain,
spl31_5,
inference(avatar_contradiction_clause,[],[f634]) ).
fof(f645,plain,
( aElementOf0(sF29,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[],[f368,f581]) ).
fof(f646,plain,
( ~ aElementOf0(xn,szNzAzT0)
| spl31_7 ),
inference(forward_subsumption_resolution,[],[f645,f626]) ).
fof(f647,plain,
( $false
| spl31_7 ),
inference(forward_subsumption_resolution,[],[f646,f533]) ).
fof(f648,plain,
spl31_7,
inference(avatar_contradiction_clause,[],[f647]) ).
fof(f655,plain,
sdtlpdtrp0(xe,xn) = szmzizndt0(sdtlpdtrp0(xN,xn)),
inference(resolution,[],[f501,f533]) ).
fof(f662,plain,
xp = szmzizndt0(sdtlpdtrp0(xN,xn)),
inference(forward_demodulation,[],[f655,f532]) ).
fof(f676,plain,
( aElementOf0(xp,sdtlpdtrp0(xN,xn))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,xn) ),
inference(superposition,[],[f551,f662]) ).
fof(f678,definition,
( spl31_12
<=> slcrc0 = sdtlpdtrp0(xN,xn) ),
introduced(definition,[new_symbols(definition,[spl31_12])],[avatar_definition]) ).
fof(f680,plain,
( slcrc0 = sdtlpdtrp0(xN,xn)
| ~ spl31_12 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f682,definition,
( spl31_13
<=> aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl31_13])],[avatar_definition]) ).
fof(f684,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0)
| spl31_13 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f686,definition,
( spl31_14
<=> aElementOf0(xp,sdtlpdtrp0(xN,xn)) ),
introduced(definition,[new_symbols(definition,[spl31_14])],[avatar_definition]) ).
fof(f688,plain,
( aElementOf0(xp,sdtlpdtrp0(xN,xn))
| ~ spl31_14 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f689,plain,
( spl31_12
| ~ spl31_13
| spl31_14 ),
inference(avatar_split_clause,[],[f676,f686,f682,f678]) ).
fof(f690,plain,
( ~ aElementOf0(xn,szNzAzT0)
| spl31_13 ),
inference(resolution,[],[f684,f484]) ).
fof(f691,plain,
( $false
| spl31_13 ),
inference(forward_subsumption_resolution,[],[f690,f533]) ).
fof(f692,plain,
spl31_13,
inference(avatar_contradiction_clause,[],[f691]) ).
fof(f712,plain,
( isCountable0(slcrc0)
| ~ aElementOf0(xn,szNzAzT0)
| ~ spl31_12 ),
inference(superposition,[],[f483,f680]) ).
fof(f713,plain,
( ~ aElementOf0(xn,szNzAzT0)
| spl31_3
| ~ spl31_12 ),
inference(forward_subsumption_resolution,[],[f712,f600]) ).
fof(f715,plain,
( $false
| spl31_3
| ~ spl31_12 ),
inference(forward_subsumption_resolution,[],[f713,f533]) ).
fof(f716,plain,
( spl31_3
| ~ spl31_12 ),
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f722,plain,
! [X0] :
( ~ aElementOf0(xx,X0)
| ~ aElementOf0(szmzizndt0(X0),sdtlpdtrp0(xN,xm))
| szmzizndt0(X0) = xx
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| slcrc0 = X0
| slcrc0 = sdtlpdtrp0(xN,xm) ),
inference(superposition,[],[f401,f541]) ).
fof(f727,plain,
( ! [X0] :
( ~ aElementOf0(xx,X0)
| ~ aElementOf0(szmzizndt0(X0),sdtlpdtrp0(xN,xm))
| szmzizndt0(X0) = xx
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0
| slcrc0 = sdtlpdtrp0(xN,xm) )
| ~ spl31_5 ),
inference(forward_subsumption_resolution,[],[f722,f612]) ).
fof(f730,definition,
( spl31_18
<=> ! [X0] :
( ~ aElementOf0(xx,X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| szmzizndt0(X0) = xx
| ~ aElementOf0(szmzizndt0(X0),sdtlpdtrp0(xN,xm)) ) ),
introduced(definition,[new_symbols(definition,[spl31_18])],[avatar_definition]) ).
fof(f731,plain,
( ! [X0] :
( ~ aElementOf0(szmzizndt0(X0),sdtlpdtrp0(xN,xm))
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0)
| szmzizndt0(X0) = xx
| ~ aElementOf0(xx,X0) )
| ~ spl31_18 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f732,plain,
( spl31_4
| spl31_18
| ~ spl31_5 ),
inference(avatar_split_clause,[],[f727,f611,f730,f607]) ).
fof(f738,plain,
( isCountable0(slcrc0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ spl31_4 ),
inference(superposition,[],[f483,f609]) ).
fof(f742,plain,
( ~ aElementOf0(xm,szNzAzT0)
| spl31_3
| ~ spl31_4 ),
inference(forward_subsumption_resolution,[],[f738,f600]) ).
fof(f745,plain,
( $false
| spl31_3
| ~ spl31_4 ),
inference(forward_subsumption_resolution,[],[f742,f540]) ).
fof(f746,plain,
( spl31_3
| ~ spl31_4 ),
inference(avatar_contradiction_clause,[],[f745]) ).
fof(f758,definition,
( spl31_20
<=> xp = xx ),
introduced(definition,[new_symbols(definition,[spl31_20])],[avatar_definition]) ).
fof(f760,plain,
( xp = xx
| ~ spl31_20 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f762,definition,
( spl31_21
<=> aElementOf0(xp,sdtlpdtrp0(xN,xm)) ),
introduced(definition,[new_symbols(definition,[spl31_21])],[avatar_definition]) ).
fof(f764,plain,
( ~ aElementOf0(xp,sdtlpdtrp0(xN,xm))
| spl31_21 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f770,plain,
( ~ aElementOf0(xp,sdtlpdtrp0(xN,xm))
| slcrc0 = xQ
| ~ aSubsetOf0(xQ,szNzAzT0)
| xp = xx
| ~ aElementOf0(xx,xQ)
| ~ spl31_18 ),
inference(superposition,[],[f731,f523]) ).
fof(f774,plain,
( ~ aElementOf0(xp,sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(xQ,szNzAzT0)
| xp = xx
| ~ aElementOf0(xx,xQ)
| ~ spl31_18 ),
inference(forward_subsumption_resolution,[],[f770,f519]) ).
fof(f776,plain,
( ~ aElementOf0(xp,sdtlpdtrp0(xN,xm))
| xp = xx
| ~ aElementOf0(xx,xQ)
| ~ spl31_18 ),
inference(forward_subsumption_resolution,[],[f774,f521]) ).
fof(f778,definition,
( spl31_22
<=> aElementOf0(xx,xQ) ),
introduced(definition,[new_symbols(definition,[spl31_22])],[avatar_definition]) ).
fof(f781,plain,
( ~ spl31_22
| spl31_20
| ~ spl31_21
| ~ spl31_18 ),
inference(avatar_split_clause,[],[f776,f730,f762,f758,f778]) ).
fof(f787,plain,
( aSet0(xQ)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f521,f327]) ).
fof(f790,plain,
aSet0(xQ),
inference(forward_subsumption_resolution,[],[f787,f365]) ).
fof(f805,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xQ)
| ~ aSet0(xQ) ),
inference(resolution,[],[f528,f326]) ).
fof(f806,plain,
! [X0] :
( ~ aElementOf0(X0,xP)
| aElementOf0(X0,xQ) ),
inference(forward_subsumption_resolution,[],[f805,f790]) ).
fof(f808,plain,
aElementOf0(xx,xQ),
inference(resolution,[],[f806,f536]) ).
fof(f809,plain,
spl31_22,
inference(avatar_split_clause,[],[f808,f778]) ).
fof(f844,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
| aElementOf0(X2,sdtlpdtrp0(xN,X0))
| ~ aSet0(sdtlpdtrp0(xN,X0)) ),
inference(resolution,[],[f485,f326]) ).
fof(f853,plain,
! [X2,X0,X1] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,X1)
| aElementOf0(X2,sdtlpdtrp0(xN,X0)) ),
inference(forward_subsumption_resolution,[],[f844,f633]) ).
fof(f856,plain,
( ! [X0] :
( ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xn)
| aElementOf0(xp,sdtlpdtrp0(xN,X0)) )
| ~ spl31_14 ),
inference(resolution,[],[f853,f688]) ).
fof(f857,plain,
( ! [X0] :
( ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ sdtlseqdt0(X0,xm)
| aElementOf0(xx,sdtlpdtrp0(xN,X0)) )
| ~ spl31_6 ),
inference(resolution,[],[f853,f617]) ).
fof(f862,plain,
( ! [X0] :
( aElementOf0(xx,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,xm)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl31_6 ),
inference(forward_subsumption_resolution,[],[f857,f540]) ).
fof(f863,plain,
( ! [X0] :
( aElementOf0(xp,sdtlpdtrp0(xN,X0))
| ~ sdtlseqdt0(X0,xn)
| ~ aElementOf0(X0,szNzAzT0) )
| ~ spl31_14 ),
inference(forward_subsumption_resolution,[],[f856,f533]) ).
fof(f869,plain,
( aElementOf0(xx,sF30)
| ~ sdtlseqdt0(sF29,xm)
| ~ aElementOf0(sF29,szNzAzT0)
| ~ spl31_6 ),
inference(superposition,[],[f862,f583]) ).
fof(f873,plain,
( ~ sdtlseqdt0(sF29,xm)
| ~ aElementOf0(sF29,szNzAzT0)
| ~ spl31_6 ),
inference(forward_subsumption_resolution,[],[f869,f584]) ).
fof(f885,plain,
( ~ sdtlseqdt0(sF29,xm)
| ~ spl31_6
| ~ spl31_7 ),
inference(forward_subsumption_resolution,[],[f873,f625]) ).
fof(f972,plain,
( sP2(xP,xQ,szmzizndt0(xQ))
| ~ sP3(szmzizndt0(xQ),xQ) ),
inference(superposition,[],[f548,f524]) ).
fof(f975,definition,
( spl31_41
<=> sP3(xp,xQ) ),
introduced(definition,[new_symbols(definition,[spl31_41])],[avatar_definition]) ).
fof(f977,plain,
( ~ sP3(xp,xQ)
| spl31_41 ),
inference(avatar_component_clause,[],[f975]) ).
fof(f979,definition,
( spl31_42
<=> sP2(xP,xQ,xp) ),
introduced(definition,[new_symbols(definition,[spl31_42])],[avatar_definition]) ).
fof(f981,plain,
( sP2(xP,xQ,xp)
| ~ spl31_42 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f983,plain,
( sP2(xP,xQ,xp)
| ~ sP3(szmzizndt0(xQ),xQ) ),
inference(forward_demodulation,[],[f972,f523]) ).
fof(f984,plain,
( ~ sP3(xp,xQ)
| sP2(xP,xQ,xp) ),
inference(forward_demodulation,[],[f983,f523]) ).
fof(f985,plain,
( spl31_42
| ~ spl31_41 ),
inference(avatar_split_clause,[],[f984,f975,f979]) ).
fof(f1250,plain,
! [X0] :
( sdtlseqdt0(sF29,X0)
| sdtlseqdt0(X0,xn)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[],[f381,f581]) ).
fof(f1253,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(X0,xn)
| sdtlseqdt0(sF29,X0) ),
inference(forward_subsumption_resolution,[],[f1250,f533]) ).
fof(f1261,plain,
( sdtlseqdt0(xm,xn)
| sdtlseqdt0(sF29,xm) ),
inference(resolution,[],[f1253,f540]) ).
fof(f1266,plain,
( sdtlseqdt0(xm,xn)
| ~ spl31_6
| ~ spl31_7 ),
inference(forward_subsumption_resolution,[],[f1261,f885]) ).
fof(f1347,plain,
( ~ aSet0(xQ)
| ~ aElement0(xp)
| spl31_41 ),
inference(resolution,[],[f357,f977]) ).
fof(f1348,plain,
( ~ aElement0(xp)
| spl31_41 ),
inference(forward_subsumption_resolution,[],[f1347,f790]) ).
fof(f1439,plain,
( aElement0(xp)
| ~ aSet0(xO) ),
inference(resolution,[],[f319,f527]) ).
fof(f1474,plain,
( ~ aSet0(xO)
| spl31_41 ),
inference(forward_subsumption_resolution,[],[f1439,f1348]) ).
fof(f1499,plain,
( $false
| spl31_41 ),
inference(forward_subsumption_resolution,[],[f1474,f513]) ).
fof(f1500,plain,
spl31_41,
inference(avatar_contradiction_clause,[],[f1499]) ).
fof(f1524,plain,
( ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xm,szNzAzT0)
| ~ spl31_14
| spl31_21 ),
inference(resolution,[],[f863,f764]) ).
fof(f1542,plain,
( ~ aElementOf0(xm,szNzAzT0)
| ~ spl31_6
| ~ spl31_7
| ~ spl31_14
| spl31_21 ),
inference(forward_subsumption_resolution,[],[f1524,f1266]) ).
fof(f1545,plain,
( $false
| ~ spl31_6
| ~ spl31_7
| ~ spl31_14
| spl31_21 ),
inference(forward_subsumption_resolution,[],[f1542,f540]) ).
fof(f1546,plain,
( ~ spl31_6
| ~ spl31_7
| ~ spl31_14
| spl31_21 ),
inference(avatar_contradiction_clause,[],[f1545]) ).
fof(f1549,plain,
( aElementOf0(xp,xP)
| ~ spl31_20 ),
inference(superposition,[],[f536,f760]) ).
fof(f1709,plain,
( ~ aElementOf0(xp,xP)
| ~ spl31_42 ),
inference(resolution,[],[f549,f981]) ).
fof(f1710,plain,
( $false
| ~ spl31_20
| ~ spl31_42 ),
inference(forward_subsumption_resolution,[],[f1709,f1549]) ).
fof(f1711,plain,
( ~ spl31_20
| ~ spl31_42 ),
inference(avatar_contradiction_clause,[],[f1710]) ).
cnf(s2,plain,
( ~ spl31_1
| ~ spl31_3 ),
inference(sat_conversion,[],[f601]) ).
cnf(s3,plain,
spl31_1,
inference(sat_conversion,[],[f602]) ).
cnf(s4,plain,
( spl31_4
| ~ spl31_5
| spl31_6 ),
inference(sat_conversion,[],[f618]) ).
cnf(s6,plain,
spl31_5,
inference(sat_conversion,[],[f635]) ).
cnf(s7,plain,
spl31_7,
inference(sat_conversion,[],[f648]) ).
cnf(s9,plain,
( spl31_12
| ~ spl31_13
| spl31_14 ),
inference(sat_conversion,[],[f689]) ).
cnf(s10,plain,
spl31_13,
inference(sat_conversion,[],[f692]) ).
cnf(s12,plain,
( spl31_3
| ~ spl31_12 ),
inference(sat_conversion,[],[f716]) ).
cnf(s13,plain,
( spl31_4
| ~ spl31_5
| spl31_18 ),
inference(sat_conversion,[],[f732]) ).
cnf(s15,plain,
( spl31_3
| ~ spl31_4 ),
inference(sat_conversion,[],[f746]) ).
cnf(s17,plain,
( ~ spl31_18
| spl31_20
| ~ spl31_21
| ~ spl31_22 ),
inference(sat_conversion,[],[f781]) ).
cnf(s18,plain,
spl31_22,
inference(sat_conversion,[],[f809]) ).
cnf(s29,plain,
( ~ spl31_41
| spl31_42 ),
inference(sat_conversion,[],[f985]) ).
cnf(s63,plain,
spl31_41,
inference(sat_conversion,[],[f1500]) ).
cnf(s69,plain,
( ~ spl31_6
| ~ spl31_7
| ~ spl31_14
| spl31_21 ),
inference(sat_conversion,[],[f1546]) ).
cnf(s78,plain,
( ~ spl31_20
| ~ spl31_42 ),
inference(sat_conversion,[],[f1711]) ).
cnf(s84,plain,
spl31_42,
inference(rat,[],[s29,s63]) ).
cnf(s85,plain,
~ spl31_20,
inference(rat,[],[s78,s84]) ).
cnf(s86,plain,
( ~ spl31_18
| ~ spl31_21 ),
inference(rat,[],[s17,s18,s85]) ).
cnf(s89,plain,
( spl31_12
| spl31_14 ),
inference(rat,[],[s9,s10]) ).
cnf(s91,plain,
( spl31_4
| spl31_6 ),
inference(rat,[],[s4,s6]) ).
cnf(s92,plain,
~ spl31_3,
inference(rat,[],[s2,s3]) ).
cnf(s97,plain,
~ spl31_4,
inference(rat,[],[s15,s92]) ).
cnf(s98,plain,
~ spl31_12,
inference(rat,[],[s12,s92]) ).
cnf(s105,plain,
spl31_18,
inference(rat,[],[s13,s6,s97]) ).
cnf(s106,plain,
spl31_6,
inference(rat,[],[s91,s97]) ).
cnf(s107,plain,
spl31_14,
inference(rat,[],[s89,s98]) ).
cnf(s108,plain,
~ spl31_21,
inference(rat,[],[s86,s105]) ).
cnf(s109,plain,
$false,
inference(rat,[],[s69,s108,s7,s107,s106]) ).
fof(f1712,plain,
$false,
inference(avatar_sat_refutation,[],[s109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM619+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % 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 20:46:37 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 6.44/1.86 % (3862294)Detected formulas, will run a generic FOF schedule.
% 6.44/1.86 % (3862303)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2982977420:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.44/1.86 % (3862303)Instruction limit reached!
% 6.44/1.86 % (3862303)------------------------------
% 6.44/1.86 % (3862303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.86 % (3862303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.86 % (3862303)CaDiCaL version: 2.1.3
% 6.44/1.86 % (3862303)Termination reason: Instruction limit
% 6.44/1.86 % (3862303)Termination phase: Saturation
% 6.44/1.86 % (3862303)Time elapsed: 0.041 s
% 6.44/1.86 % (3862303)Peak memory usage: 89 MB
% 6.44/1.86 % (3862303)Instructions burned: 122 (million)
% 6.44/1.86 % (3862304)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2401611719:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.44/1.86 % (3862302)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3678859802:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.44/1.86 % (3862305)dis-21_1_sil=8000:lcm=predicate:random_seed=1846829027: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)
% 6.44/1.86 % (3862299)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=56312693:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.44/1.86 % (3862300)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=1283769903:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.44/1.86 % (3862301)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=715857568:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.44/1.86 % (3862304)Instruction limit reached!
% 6.44/1.86 % (3862304)------------------------------
% 6.44/1.86 % (3862304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.86 % (3862304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.86 % (3862304)CaDiCaL version: 2.1.3
% 6.44/1.86 % (3862304)Termination reason: Instruction limit
% 6.44/1.86 % (3862304)Termination phase: Saturation
% 6.44/1.86 % (3862304)Time elapsed: 0.054 s
% 6.44/1.86 % (3862304)Peak memory usage: 90 MB
% 6.44/1.86 % (3862304)Instructions burned: 142 (million)
% 6.44/1.86 % (3862302)Instruction limit reached!
% 6.44/1.86 % (3862302)------------------------------
% 6.44/1.86 % (3862302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.86 % (3862302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.86 % (3862302)CaDiCaL version: 2.1.3
% 6.44/1.86 % (3862302)Termination reason: Instruction limit
% 6.44/1.86 % (3862302)Termination phase: Saturation
% 6.44/1.86 % (3862302)Time elapsed: 0.068 s
% 6.44/1.86 % (3862302)Peak memory usage: 89 MB
% 6.44/1.86 % (3862302)Instructions burned: 109 (million)
% 6.44/1.86 % (3862305)Instruction limit reached!
% 6.44/1.86 % (3862305)------------------------------
% 6.44/1.86 % (3862305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.86 % (3862305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.86 % (3862305)CaDiCaL version: 2.1.3
% 6.44/1.86 % (3862305)Termination reason: Instruction limit
% 6.44/1.86 % (3862305)Termination phase: Saturation
% 6.44/1.86 % (3862305)Time elapsed: 0.075 s
% 6.44/1.86 % (3862305)Peak memory usage: 91 MB
% 6.44/1.86 % (3862305)Instructions burned: 130 (million)
% 6.44/1.86 % (3862307)lrs+10_1_sil=8000:sp=occurrence:random_seed=3017068480:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.44/1.86 % (3862314)lrs+10_1_sil=32000:urr=on:br=off:random_seed=589643683:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.44/1.86 % (3862314)Refutation not found, incomplete strategy
% 6.44/1.86 % (3862314)------------------------------
% 6.44/1.86 % (3862314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.86 % (3862314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.86 % (3862314)CaDiCaL version: 2.1.3
% 6.44/1.86 % (3862314)Termination reason: Refutation not found, incomplete strategy
% 6.44/1.86 % (3862314)Time elapsed: 0.001 s
% 6.44/1.86 % (3862314)Peak memory usage: 88 MB
% 6.44/1.86 % (3862314)Instructions burned: 2 (million)
% 6.44/1.86 % (3862315)lrs+1011_1_sil=32000:sp=occurrence:random_seed=646765589:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.44/1.86 % (3862316)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=4174643493:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.44/1.86 % (3862314)------------------------------
% 6.44/1.86 % (3862314)------------------------------
% 6.44/1.86 % (3862307)Instruction limit reached!
% 6.44/1.86 % (3862307)------------------------------
% 6.44/1.86 % (3862307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.86 % (3862307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.86 % (3862307)CaDiCaL version: 2.1.3
% 6.44/1.86 % (3862307)Termination reason: Instruction limit
% 6.44/1.86 % (3862307)Termination phase: Saturation
% 6.44/1.86 % (3862307)Time elapsed: 0.187 s
% 6.44/1.86 % (3862307)Peak memory usage: 93 MB
% 6.44/1.86 % (3862307)Instructions burned: 286 (million)
% 6.44/1.86 % (3862316)Instruction limit reached!
% 6.44/1.86 % (3862316)------------------------------
% 6.44/1.86 % (3862316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.86 % (3862316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.86 % (3862316)CaDiCaL version: 2.1.3
% 6.44/1.86 % (3862316)Termination reason: Instruction limit
% 6.44/1.86 % (3862316)Termination phase: Saturation
% 6.44/1.86 % (3862316)Time elapsed: 0.152 s
% 6.44/1.86 % (3862316)Peak memory usage: 92 MB
% 6.44/1.86 % (3862316)Instructions burned: 250 (million)
% 6.44/1.86 % (3862321)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3775815938:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.44/1.86 % (3862315)Instruction limit reached!
% 6.44/1.86 % (3862315)------------------------------
% 6.44/1.86 % (3862315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.86 % (3862315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.86 % (3862315)CaDiCaL version: 2.1.3
% 6.44/1.86 % (3862315)Termination reason: Instruction limit
% 6.44/1.86 % (3862315)Termination phase: Saturation
% 6.44/1.86 % (3862315)Time elapsed: 0.226 s
% 6.44/1.86 % (3862315)Peak memory usage: 92 MB
% 6.44/1.86 % (3862315)Instructions burned: 325 (million)
% 6.44/1.86 % (3862322)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2673463980:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.44/1.86 % (3862321)Instruction limit reached!
% 6.44/1.86 % (3862321)------------------------------
% 6.44/1.86 % (3862321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.86 % (3862321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.86 % (3862321)CaDiCaL version: 2.1.3
% 6.44/1.86 % (3862321)Termination reason: Instruction limit
% 6.44/1.86 % (3862321)Termination phase: Saturation
% 6.44/1.86 % (3862321)Time elapsed: 0.104 s
% 6.44/1.86 % (3862321)Peak memory usage: 90 MB
% 6.44/1.86 % (3862321)Instructions burned: 297 (million)
% 6.44/1.86 % (3862323)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=736815727:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.44/1.86 % (3862325)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2321990877:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.44/1.86 % (3862323)Instruction limit reached!
% 6.44/1.86 % (3862323)------------------------------
% 6.44/1.86 % (3862323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.86 % (3862323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.86 % (3862323)CaDiCaL version: 2.1.3
% 6.44/1.86 % (3862323)Termination reason: Instruction limit
% 6.44/1.86 % (3862323)Termination phase: Saturation
% 6.44/1.86 % (3862323)Time elapsed: 0.074 s
% 6.44/1.86 % (3862323)Peak memory usage: 91 MB
% 6.44/1.86 % (3862323)Instructions burned: 113 (million)
% 6.44/1.86 % (3862325)Instruction limit reached!
% 6.44/1.86 % (3862325)------------------------------
% 6.44/1.86 % (3862325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.86 % (3862325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.86 % (3862325)CaDiCaL version: 2.1.3
% 6.44/1.86 % (3862325)Termination reason: Instruction limit
% 6.44/1.86 % (3862325)Termination phase: Saturation
% 6.44/1.86 % (3862325)Time elapsed: 0.067 s
% 6.44/1.86 % (3862325)Peak memory usage: 89 MB
% 6.44/1.86 % (3862325)Instructions burned: 128 (million)
% 6.44/1.86 % (3862299)First to succeed.
% 6.44/1.86 % (3862299)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3862294"
% 6.44/1.86 % (3862327)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=426523665:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.44/1.86 % (3862327)Instruction limit reached!
% 6.44/1.86 % (3862327)------------------------------
% 6.44/1.86 % (3862327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.86 % (3862327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.86 % (3862327)CaDiCaL version: 2.1.3
% 6.44/1.86 % (3862327)Termination reason: Instruction limit
% 6.44/1.86 % (3862327)Termination phase: Saturation
% 6.44/1.86 % (3862327)Time elapsed: 0.072 s
% 6.44/1.86 % (3862327)Peak memory usage: 89 MB
% 6.44/1.86 % (3862327)Instructions burned: 115 (million)
% 6.44/1.86 % (3862330)lrs+10_1_sil=8000:sp=occurrence:random_seed=3897994150:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.44/1.86 % (3862299)Refutation found. Thanks to Tanya!
% 6.44/1.86 % SZS status Theorem for theBenchmark
% 6.44/1.86 % SZS output start Proof for theBenchmark
% See solution above
% 7.75/2.06 % (3862299)------------------------------
% 7.75/2.06 % (3862299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.75/2.06 % (3862299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/2.06 % (3862299)CaDiCaL version: 2.1.3
% 7.75/2.06 % (3862299)Termination reason: Refutation
% 7.75/2.06 % (3862299)Time elapsed: 0.672 s
% 7.75/2.06 % (3862299)Peak memory usage: 130 MB
% 7.75/2.06 % (3862299)Instructions burned: 1116 (million)
% 7.75/2.06 % (3862299)------------------------------
% 7.75/2.06 % (3862299)------------------------------
% 7.75/2.06 % (3862294)Success in time 1.012 s
% 7.75/2.06 % Vampire exiting
%------------------------------------------------------------------------------