%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM556+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 : n003.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 9.79s 2.27s
% Output : Refutation 10.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 39
% Syntax : Number of formulae : 235 ( 47 unt; 22 def)
% Number of atoms : 972 ( 135 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 1257 ( 520 ~; 544 |; 137 &)
% ( 42 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 23 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-3 aty)
% Number of variables : 191 ( 0 sgn 179 !; 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(f18,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aSet0(X1) )
=> ( ~ aElementOf0(X0,X1)
=> sdtmndt0(sdtpldt0(X1,X0),X0) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDiffCons) ).
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(f70,axiom,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2357) ).
fof(f71,axiom,
( ~ aElementOf0(xx,sdtmndt0(xQ,xy))
& szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = xk ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2411) ).
fof(f72,conjecture,
( aSubsetOf0(xP,xS)
& sbrdtbr0(xP) = xk ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f73,negated_conjecture,
~ ( aSubsetOf0(xP,xS)
& sbrdtbr0(xP) = xk ),
inference(negated_conjecture,[status(cth)],[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(f100,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ aSet0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f101,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ aSet0(X1) ),
inference(flattening,[],[f100]) ).
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,plain,
( ~ aSubsetOf0(xP,xS)
| xk != sbrdtbr0(xP) ),
inference(ennf_transformation,[],[f73]) ).
fof(f167,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(f168,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,[],[f167]) ).
fof(f169,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,[],[f168]) ).
fof(f170,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK1(X0,X1),X0)
& aElementOf0(sK1(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f169]) ).
fof(f171,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtpldt0(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) ) ) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(nnf_transformation,[],[f96]) ).
fof(f172,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtpldt0(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) ) ) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f171]) ).
fof(f173,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtpldt0(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)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ( ~ aElementOf0(X4,X0)
& X1 != X4 ) )
& ( ( aElement0(X4)
& ( aElementOf0(X4,X0)
| X1 = X4 ) )
| ~ aElementOf0(X4,X2) ) ) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(rectify,[],[f172]) ).
fof(f174,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtpldt0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aElement0(sK2(X0,X1,X2))
| ( ~ aElementOf0(sK2(X0,X1,X2),X0)
& sK2(X0,X1,X2) != X1 )
| ~ aElementOf0(sK2(X0,X1,X2),X2) )
& ( ( aElement0(sK2(X0,X1,X2))
& ( aElementOf0(sK2(X0,X1,X2),X0)
| sK2(X0,X1,X2) = X1 ) )
| aElementOf0(sK2(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ( ~ aElementOf0(X4,X0)
& X1 != X4 ) )
& ( ( aElement0(X4)
& ( aElementOf0(X4,X0)
| X1 = X4 ) )
| ~ aElementOf0(X4,X2) ) ) )
| sdtpldt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f173]) ).
fof(f175,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(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) ) ) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(nnf_transformation,[],[f98]) ).
fof(f176,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(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) ) ) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f175]) ).
fof(f177,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(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)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X0)
| X1 = X4 )
& ( ( aElement0(X4)
& aElementOf0(X4,X0)
& X1 != X4 )
| ~ aElementOf0(X4,X2) ) ) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(rectify,[],[f176]) ).
fof(f178,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aElement0(sK3(X0,X1,X2))
| ~ aElementOf0(sK3(X0,X1,X2),X0)
| sK3(X0,X1,X2) = X1
| ~ aElementOf0(sK3(X0,X1,X2),X2) )
& ( ( aElement0(sK3(X0,X1,X2))
& aElementOf0(sK3(X0,X1,X2),X0)
& sK3(X0,X1,X2) != X1 )
| aElementOf0(sK3(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X0)
| X1 = X4 )
& ( ( aElement0(X4)
& aElementOf0(X4,X0)
& X1 != X4 )
| ~ aElementOf0(X4,X2) ) ) )
| sdtmndt0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f177]) ).
fof(f200,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(f201,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,[],[f200]) ).
fof(f202,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,[],[f201]) ).
fof(f203,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aSubsetOf0(sK10(X0,X1,X2),X0)
| sbrdtbr0(sK10(X0,X1,X2)) != X1
| ~ aElementOf0(sK10(X0,X1,X2),X2) )
& ( ( aSubsetOf0(sK10(X0,X1,X2),X0)
& sbrdtbr0(sK10(X0,X1,X2)) = X1 )
| aElementOf0(sK10(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,[sK10]),skolemize(X3,sK10(X0,X1,X2))],[f202]) ).
fof(f204,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f211,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f213,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| aElementOf0(sK1(X0,X1),X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f214,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ~ aElementOf0(sK1(X0,X1),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f223,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtpldt0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f229,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| sdtmndt0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f231,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X0)
| X1 = X4
| sdtmndt0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f232,plain,
! [X2,X0,X1] :
( aSet0(X2)
| sdtmndt0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f238,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f242,plain,
! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f266,plain,
! [X0,X1] :
( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
| aElementOf0(X1,X0)
| ~ aElement0(X1)
| ~ aSet0(X0)
| ~ isFinite0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f298,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f307,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f61]) ).
fof(f310,plain,
aSet0(xS),
inference(cnf_transformation,[],[f62]) ).
fof(f313,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f64]) ).
fof(f314,plain,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f65]) ).
fof(f316,plain,
isFinite0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f317,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f319,plain,
aElement0(xy),
inference(cnf_transformation,[],[f67]) ).
fof(f322,plain,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
inference(cnf_transformation,[],[f70]) ).
fof(f323,plain,
xk = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))),
inference(cnf_transformation,[],[f71]) ).
fof(f324,plain,
~ aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(cnf_transformation,[],[f71]) ).
fof(f325,plain,
( ~ aSubsetOf0(xP,xS)
| xk != sbrdtbr0(xP) ),
inference(cnf_transformation,[],[f162]) ).
fof(f329,plain,
! [X0,X1] :
( aSet0(sdtpldt0(X0,X1))
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(equality_resolution,[],[f223]) ).
fof(f335,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(equality_resolution,[],[f232]) ).
fof(f336,plain,
! [X0,X1,X4] :
( aElementOf0(X4,sdtmndt0(X0,X1))
| ~ aElement0(X4)
| ~ aElementOf0(X4,X0)
| X1 = X4
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(equality_resolution,[],[f231]) ).
fof(f338,plain,
! [X0,X1,X4] :
( aElementOf0(X4,X0)
| ~ aElementOf0(X4,sdtmndt0(X0,X1))
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(equality_resolution,[],[f229]) ).
fof(f354,plain,
! [X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f298]) ).
fof(f359,definition,
( spl11_1
<=> xP = sdtpldt0(sdtmndt0(xQ,xy),xx) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f361,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f362,plain,
spl11_1,
inference(avatar_split_clause,[],[f322,f359]) ).
fof(f375,plain,
( sdtmndt0(xQ,xy) = sdtmndt0(xP,xx)
| aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ spl11_1 ),
inference(superposition,[],[f238,f361]) ).
fof(f378,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(xP)
| aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ spl11_1 ),
inference(superposition,[],[f266,f361]) ).
fof(f379,plain,
( aSet0(xP)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| ~ spl11_1 ),
inference(superposition,[],[f329,f361]) ).
fof(f385,plain,
( szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(xP)
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ spl11_1 ),
inference(forward_subsumption_resolution,[],[f378,f324]) ).
fof(f386,plain,
( sdtmndt0(xQ,xy) = sdtmndt0(xP,xx)
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ spl11_1 ),
inference(forward_subsumption_resolution,[],[f375,f324]) ).
fof(f397,plain,
( xk = sbrdtbr0(xP)
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ spl11_1 ),
inference(forward_demodulation,[],[f385,f323]) ).
fof(f445,definition,
( spl11_3
<=> xk = sbrdtbr0(xP) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
fof(f447,plain,
( xk != sbrdtbr0(xP)
| spl11_3 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f449,definition,
( spl11_4
<=> aSubsetOf0(xP,xS) ),
introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).
fof(f451,plain,
( ~ aSubsetOf0(xP,xS)
| spl11_4 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f452,plain,
( ~ spl11_3
| ~ spl11_4 ),
inference(avatar_split_clause,[],[f325,f449,f445]) ).
fof(f453,plain,
( ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ spl11_1
| spl11_3 ),
inference(backward_subsumption_resolution,[],[f397,f447]) ).
fof(f482,definition,
( spl11_6
<=> aSet0(sdtmndt0(xQ,xy)) ),
introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).
fof(f483,plain,
( aSet0(sdtmndt0(xQ,xy))
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f484,plain,
( ~ aSet0(sdtmndt0(xQ,xy))
| spl11_6 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f486,definition,
( spl11_7
<=> aElement0(xx) ),
introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).
fof(f487,plain,
( aElement0(xx)
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f488,plain,
( ~ aElement0(xx)
| spl11_7 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f490,definition,
( spl11_8
<=> sdtmndt0(xQ,xy) = sdtmndt0(xP,xx) ),
introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition]) ).
fof(f492,plain,
( sdtmndt0(xQ,xy) = sdtmndt0(xP,xx)
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f493,plain,
( ~ spl11_6
| ~ spl11_7
| spl11_8
| ~ spl11_1 ),
inference(avatar_split_clause,[],[f386,f359,f490,f486,f482]) ).
fof(f494,plain,
( ~ aSet0(xQ)
| ~ aElement0(xy)
| spl11_6 ),
inference(resolution,[],[f484,f335]) ).
fof(f508,plain,
( ~ aElement0(xy)
| spl11_6 ),
inference(forward_subsumption_resolution,[],[f494,f317]) ).
fof(f513,plain,
( $false
| spl11_6 ),
inference(forward_subsumption_resolution,[],[f508,f319]) ).
fof(f514,plain,
spl11_6,
inference(avatar_contradiction_clause,[],[f513]) ).
fof(f520,plain,
( aSet0(xP)
| ~ aElement0(xx)
| ~ spl11_1
| ~ spl11_6 ),
inference(backward_subsumption_resolution,[],[f379,f483]) ).
fof(f528,plain,
( ~ aElement0(xx)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ spl11_1
| spl11_3
| ~ spl11_6 ),
inference(backward_subsumption_resolution,[],[f453,f483]) ).
fof(f623,definition,
( spl11_10
<=> aElementOf0(xx,xS) ),
introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).
fof(f625,plain,
( aElementOf0(xx,xS)
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f626,plain,
spl11_10,
inference(avatar_split_clause,[],[f313,f623]) ).
fof(f627,plain,
( aElement0(xx)
| ~ aSet0(xS)
| ~ spl11_10 ),
inference(resolution,[],[f625,f204]) ).
fof(f641,plain,
( ~ aSet0(xS)
| spl11_7
| ~ spl11_10 ),
inference(forward_subsumption_resolution,[],[f627,f488]) ).
fof(f642,plain,
( $false
| spl11_7
| ~ spl11_10 ),
inference(forward_subsumption_resolution,[],[f641,f310]) ).
fof(f643,plain,
( spl11_7
| ~ spl11_10 ),
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f647,plain,
( aSet0(xP)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_7 ),
inference(forward_subsumption_resolution,[],[f520,f487]) ).
fof(f655,plain,
( ~ isFinite0(sdtmndt0(xQ,xy))
| ~ spl11_1
| spl11_3
| ~ spl11_6
| ~ spl11_7 ),
inference(forward_subsumption_resolution,[],[f528,f487]) ).
fof(f664,definition,
( spl11_11
<=> isFinite0(sdtmndt0(xQ,xy)) ),
introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition]) ).
fof(f666,plain,
( ~ isFinite0(sdtmndt0(xQ,xy))
| spl11_11 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f667,plain,
( ~ spl11_11
| ~ spl11_1
| spl11_3
| ~ spl11_6
| ~ spl11_7 ),
inference(avatar_split_clause,[],[f655,f486,f482,f445,f359,f664]) ).
fof(f716,plain,
( ~ aSet0(xQ)
| ~ isFinite0(xQ)
| ~ aElement0(xy)
| spl11_11 ),
inference(resolution,[],[f666,f242]) ).
fof(f728,plain,
( ~ isFinite0(xQ)
| ~ aElement0(xy)
| spl11_11 ),
inference(forward_subsumption_resolution,[],[f716,f317]) ).
fof(f733,plain,
( ~ aElement0(xy)
| spl11_11 ),
inference(forward_subsumption_resolution,[],[f728,f316]) ).
fof(f736,plain,
( $false
| spl11_11 ),
inference(forward_subsumption_resolution,[],[f733,f319]) ).
fof(f737,plain,
spl11_11,
inference(avatar_contradiction_clause,[],[f736]) ).
fof(f787,plain,
( ~ aSet0(xP)
| aElementOf0(sK1(xS,xP),xP)
| ~ aSet0(xS)
| spl11_4 ),
inference(resolution,[],[f451,f213]) ).
fof(f788,plain,
( ~ aSet0(xP)
| ~ aElementOf0(sK1(xS,xP),xS)
| ~ aSet0(xS)
| spl11_4 ),
inference(resolution,[],[f451,f214]) ).
fof(f789,plain,
( ~ aElementOf0(sK1(xS,xP),xS)
| ~ aSet0(xS)
| ~ spl11_1
| spl11_4
| ~ spl11_6
| ~ spl11_7 ),
inference(forward_subsumption_resolution,[],[f788,f647]) ).
fof(f790,plain,
( aElementOf0(sK1(xS,xP),xP)
| ~ aSet0(xS)
| ~ spl11_1
| spl11_4
| ~ spl11_6
| ~ spl11_7 ),
inference(forward_subsumption_resolution,[],[f787,f647]) ).
fof(f793,plain,
( ~ aElementOf0(sK1(xS,xP),xS)
| ~ spl11_1
| spl11_4
| ~ spl11_6
| ~ spl11_7 ),
inference(forward_subsumption_resolution,[],[f789,f310]) ).
fof(f794,plain,
( aElementOf0(sK1(xS,xP),xP)
| ~ spl11_1
| spl11_4
| ~ spl11_6
| ~ spl11_7 ),
inference(forward_subsumption_resolution,[],[f790,f310]) ).
fof(f797,definition,
( spl11_12
<=> aElementOf0(sK1(xS,xP),xS) ),
introduced(definition,[new_symbols(definition,[spl11_12])],[avatar_definition]) ).
fof(f799,plain,
( ~ aElementOf0(sK1(xS,xP),xS)
| spl11_12 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f800,plain,
( ~ spl11_12
| ~ spl11_1
| spl11_4
| ~ spl11_6
| ~ spl11_7 ),
inference(avatar_split_clause,[],[f793,f486,f482,f449,f359,f797]) ).
fof(f805,plain,
( ! [X0] :
( ~ aElementOf0(sK1(xS,xP),X0)
| ~ aSubsetOf0(X0,xS)
| ~ aSet0(xS) )
| spl11_12 ),
inference(resolution,[],[f799,f211]) ).
fof(f806,plain,
( ! [X0] :
( ~ aElementOf0(sK1(xS,xP),X0)
| ~ aSubsetOf0(X0,xS) )
| spl11_12 ),
inference(forward_subsumption_resolution,[],[f805,f310]) ).
fof(f812,definition,
( spl11_13
<=> aElementOf0(sK1(xS,xP),xP) ),
introduced(definition,[new_symbols(definition,[spl11_13])],[avatar_definition]) ).
fof(f814,plain,
( aElementOf0(sK1(xS,xP),xP)
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f815,plain,
( spl11_13
| ~ spl11_1
| spl11_4
| ~ spl11_6
| ~ spl11_7 ),
inference(avatar_split_clause,[],[f794,f486,f482,f449,f359,f812]) ).
fof(f816,plain,
( aElement0(sK1(xS,xP))
| ~ aSet0(xP)
| ~ spl11_13 ),
inference(resolution,[],[f814,f204]) ).
fof(f825,plain,
( ! [X0] :
( aElementOf0(sK1(xS,xP),sdtmndt0(xP,X0))
| ~ aElement0(sK1(xS,xP))
| sK1(xS,xP) = X0
| ~ aSet0(xP)
| ~ aElement0(X0) )
| ~ spl11_13 ),
inference(resolution,[],[f814,f336]) ).
fof(f829,plain,
( ! [X0] :
( aElementOf0(sK1(xS,xP),sdtmndt0(xP,X0))
| ~ aElement0(sK1(xS,xP))
| sK1(xS,xP) = X0
| ~ aElement0(X0) )
| ~ spl11_1
| ~ spl11_6
| ~ spl11_7
| ~ spl11_13 ),
inference(forward_subsumption_resolution,[],[f825,f647]) ).
fof(f835,plain,
( aElement0(sK1(xS,xP))
| ~ spl11_1
| ~ spl11_6
| ~ spl11_7
| ~ spl11_13 ),
inference(forward_subsumption_resolution,[],[f816,f647]) ).
fof(f838,plain,
( ! [X0] :
( aElementOf0(sK1(xS,xP),sdtmndt0(xP,X0))
| sK1(xS,xP) = X0
| ~ aElement0(X0) )
| ~ spl11_1
| ~ spl11_6
| ~ spl11_7
| ~ spl11_13 ),
inference(backward_subsumption_resolution,[],[f829,f835]) ).
fof(f843,definition,
( spl11_14
<=> aSet0(xP) ),
introduced(definition,[new_symbols(definition,[spl11_14])],[avatar_definition]) ).
fof(f845,plain,
( aSet0(xP)
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f846,plain,
( spl11_14
| ~ spl11_1
| ~ spl11_6
| ~ spl11_7 ),
inference(avatar_split_clause,[],[f647,f486,f482,f359,f843]) ).
fof(f852,definition,
( spl11_16
<=> ! [X0] :
( ~ aElementOf0(sK1(xS,xP),X0)
| ~ aSubsetOf0(X0,xS) ) ),
introduced(definition,[new_symbols(definition,[spl11_16])],[avatar_definition]) ).
fof(f853,plain,
( ! [X0] :
( ~ aElementOf0(sK1(xS,xP),X0)
| ~ aSubsetOf0(X0,xS) )
| ~ spl11_16 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f854,plain,
( spl11_16
| spl11_12 ),
inference(avatar_split_clause,[],[f806,f797,f852]) ).
fof(f928,definition,
( spl11_20
<=> aSet0(xS) ),
introduced(definition,[new_symbols(definition,[spl11_20])],[avatar_definition]) ).
fof(f930,plain,
( aSet0(xS)
| ~ spl11_20 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f931,plain,
spl11_20,
inference(avatar_split_clause,[],[f310,f928]) ).
fof(f1336,definition,
( spl11_26
<=> aSet0(xQ) ),
introduced(definition,[new_symbols(definition,[spl11_26])],[avatar_definition]) ).
fof(f1338,plain,
( aSet0(xQ)
| ~ spl11_26 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f1339,plain,
spl11_26,
inference(avatar_split_clause,[],[f317,f1336]) ).
fof(f1499,definition,
( spl11_32
<=> aElementOf0(xk,szNzAzT0) ),
introduced(definition,[new_symbols(definition,[spl11_32])],[avatar_definition]) ).
fof(f1501,plain,
( aElementOf0(xk,szNzAzT0)
| ~ spl11_32 ),
inference(avatar_component_clause,[],[f1499]) ).
fof(f1502,plain,
spl11_32,
inference(avatar_split_clause,[],[f307,f1499]) ).
fof(f1828,definition,
( spl11_40
<=> aElement0(xy) ),
introduced(definition,[new_symbols(definition,[spl11_40])],[avatar_definition]) ).
fof(f1830,plain,
( aElement0(xy)
| ~ spl11_40 ),
inference(avatar_component_clause,[],[f1828]) ).
fof(f1831,plain,
spl11_40,
inference(avatar_split_clause,[],[f319,f1828]) ).
fof(f2671,definition,
( spl11_62
<=> xx = sK1(xS,xP) ),
introduced(definition,[new_symbols(definition,[spl11_62])],[avatar_definition]) ).
fof(f2673,plain,
( xx = sK1(xS,xP)
| ~ spl11_62 ),
inference(avatar_component_clause,[],[f2671]) ).
fof(f2784,definition,
( spl11_66
<=> aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
introduced(definition,[new_symbols(definition,[spl11_66])],[avatar_definition]) ).
fof(f2786,plain,
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
| ~ spl11_66 ),
inference(avatar_component_clause,[],[f2784]) ).
fof(f2787,plain,
spl11_66,
inference(avatar_split_clause,[],[f314,f2784]) ).
fof(f2789,plain,
( aSubsetOf0(xQ,xS)
| ~ aSet0(xS)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl11_66 ),
inference(resolution,[],[f2786,f354]) ).
fof(f2814,plain,
( aSubsetOf0(xQ,xS)
| ~ aElementOf0(xk,szNzAzT0)
| ~ spl11_20
| ~ spl11_66 ),
inference(forward_subsumption_resolution,[],[f2789,f930]) ).
fof(f2818,plain,
( aSubsetOf0(xQ,xS)
| ~ spl11_20
| ~ spl11_32
| ~ spl11_66 ),
inference(forward_subsumption_resolution,[],[f2814,f1501]) ).
fof(f2820,definition,
( spl11_67
<=> aSubsetOf0(xQ,xS) ),
introduced(definition,[new_symbols(definition,[spl11_67])],[avatar_definition]) ).
fof(f2822,plain,
( aSubsetOf0(xQ,xS)
| ~ spl11_67 ),
inference(avatar_component_clause,[],[f2820]) ).
fof(f2823,plain,
( spl11_67
| ~ spl11_20
| ~ spl11_32
| ~ spl11_66 ),
inference(avatar_split_clause,[],[f2818,f2784,f1499,f928,f2820]) ).
fof(f3001,definition,
( spl11_73
<=> ! [X0] :
( aElementOf0(sK1(xS,xP),sdtmndt0(xP,X0))
| sK1(xS,xP) = X0
| ~ aElement0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl11_73])],[avatar_definition]) ).
fof(f3002,plain,
( ! [X0] :
( aElementOf0(sK1(xS,xP),sdtmndt0(xP,X0))
| sK1(xS,xP) = X0
| ~ aElement0(X0) )
| ~ spl11_73 ),
inference(avatar_component_clause,[],[f3001]) ).
fof(f3003,plain,
( spl11_73
| ~ spl11_1
| ~ spl11_6
| ~ spl11_7
| ~ spl11_13 ),
inference(avatar_split_clause,[],[f838,f812,f486,f482,f359,f3001]) ).
fof(f3024,plain,
( aElementOf0(sK1(xS,xP),sdtmndt0(xQ,xy))
| xx = sK1(xS,xP)
| ~ aElement0(xx)
| ~ spl11_8
| ~ spl11_73 ),
inference(superposition,[],[f3002,f492]) ).
fof(f3032,plain,
( aElementOf0(sK1(xS,xP),sdtmndt0(xQ,xy))
| xx = sK1(xS,xP)
| ~ spl11_7
| ~ spl11_8
| ~ spl11_73 ),
inference(forward_subsumption_resolution,[],[f3024,f487]) ).
fof(f3050,definition,
( spl11_74
<=> aElementOf0(sK1(xS,xP),sdtmndt0(xQ,xy)) ),
introduced(definition,[new_symbols(definition,[spl11_74])],[avatar_definition]) ).
fof(f3052,plain,
( aElementOf0(sK1(xS,xP),sdtmndt0(xQ,xy))
| ~ spl11_74 ),
inference(avatar_component_clause,[],[f3050]) ).
fof(f3053,plain,
( spl11_62
| spl11_74
| ~ spl11_7
| ~ spl11_8
| ~ spl11_73 ),
inference(avatar_split_clause,[],[f3032,f3001,f490,f486,f3050,f2671]) ).
fof(f3067,plain,
( ~ aElementOf0(xx,xS)
| aSubsetOf0(xP,xS)
| ~ aSet0(xP)
| ~ aSet0(xS)
| ~ spl11_62 ),
inference(superposition,[],[f214,f2673]) ).
fof(f3068,plain,
( aSubsetOf0(xP,xS)
| ~ aSet0(xP)
| ~ aSet0(xS)
| ~ spl11_10
| ~ spl11_62 ),
inference(forward_subsumption_resolution,[],[f3067,f625]) ).
fof(f3076,plain,
( ~ aSet0(xP)
| ~ aSet0(xS)
| spl11_4
| ~ spl11_10
| ~ spl11_62 ),
inference(forward_subsumption_resolution,[],[f3068,f451]) ).
fof(f3082,plain,
( ~ aSet0(xS)
| spl11_4
| ~ spl11_10
| ~ spl11_14
| ~ spl11_62 ),
inference(forward_subsumption_resolution,[],[f3076,f845]) ).
fof(f3085,plain,
( $false
| spl11_4
| ~ spl11_10
| ~ spl11_14
| ~ spl11_20
| ~ spl11_62 ),
inference(forward_subsumption_resolution,[],[f3082,f930]) ).
fof(f3086,plain,
( spl11_4
| ~ spl11_10
| ~ spl11_14
| ~ spl11_20
| ~ spl11_62 ),
inference(avatar_contradiction_clause,[],[f3085]) ).
fof(f3089,plain,
( aElementOf0(sK1(xS,xP),xQ)
| ~ aSet0(xQ)
| ~ aElement0(xy)
| ~ spl11_74 ),
inference(resolution,[],[f3052,f338]) ).
fof(f3118,plain,
( aElementOf0(sK1(xS,xP),xQ)
| ~ aElement0(xy)
| ~ spl11_26
| ~ spl11_74 ),
inference(forward_subsumption_resolution,[],[f3089,f1338]) ).
fof(f3126,plain,
( aElementOf0(sK1(xS,xP),xQ)
| ~ spl11_26
| ~ spl11_40
| ~ spl11_74 ),
inference(forward_subsumption_resolution,[],[f3118,f1830]) ).
fof(f3131,definition,
( spl11_75
<=> aElementOf0(sK1(xS,xP),xQ) ),
introduced(definition,[new_symbols(definition,[spl11_75])],[avatar_definition]) ).
fof(f3133,plain,
( aElementOf0(sK1(xS,xP),xQ)
| ~ spl11_75 ),
inference(avatar_component_clause,[],[f3131]) ).
fof(f3134,plain,
( spl11_75
| ~ spl11_26
| ~ spl11_40
| ~ spl11_74 ),
inference(avatar_split_clause,[],[f3126,f3050,f1828,f1336,f3131]) ).
fof(f3135,plain,
( ~ aSubsetOf0(xQ,xS)
| ~ spl11_16
| ~ spl11_75 ),
inference(resolution,[],[f3133,f853]) ).
fof(f3155,plain,
( $false
| ~ spl11_16
| ~ spl11_67
| ~ spl11_75 ),
inference(forward_subsumption_resolution,[],[f3135,f2822]) ).
fof(f3156,plain,
( ~ spl11_16
| ~ spl11_67
| ~ spl11_75 ),
inference(avatar_contradiction_clause,[],[f3155]) ).
cnf(s1,plain,
spl11_1,
inference(sat_conversion,[],[f362]) ).
cnf(s3,plain,
( ~ spl11_3
| ~ spl11_4 ),
inference(sat_conversion,[],[f452]) ).
cnf(s5,plain,
( ~ spl11_1
| ~ spl11_6
| ~ spl11_7
| spl11_8 ),
inference(sat_conversion,[],[f493]) ).
cnf(s6,plain,
spl11_6,
inference(sat_conversion,[],[f514]) ).
cnf(s8,plain,
spl11_10,
inference(sat_conversion,[],[f626]) ).
cnf(s9,plain,
( spl11_7
| ~ spl11_10 ),
inference(sat_conversion,[],[f643]) ).
cnf(s10,plain,
( ~ spl11_1
| spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11 ),
inference(sat_conversion,[],[f667]) ).
cnf(s11,plain,
spl11_11,
inference(sat_conversion,[],[f737]) ).
cnf(s12,plain,
( ~ spl11_1
| spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_12 ),
inference(sat_conversion,[],[f800]) ).
cnf(s13,plain,
( ~ spl11_1
| spl11_4
| ~ spl11_6
| ~ spl11_7
| spl11_13 ),
inference(sat_conversion,[],[f815]) ).
cnf(s14,plain,
( ~ spl11_1
| ~ spl11_6
| ~ spl11_7
| spl11_14 ),
inference(sat_conversion,[],[f846]) ).
cnf(s16,plain,
( spl11_12
| spl11_16 ),
inference(sat_conversion,[],[f854]) ).
cnf(s20,plain,
spl11_20,
inference(sat_conversion,[],[f931]) ).
cnf(s26,plain,
spl11_26,
inference(sat_conversion,[],[f1339]) ).
cnf(s31,plain,
spl11_32,
inference(sat_conversion,[],[f1502]) ).
cnf(s39,plain,
spl11_40,
inference(sat_conversion,[],[f1831]) ).
cnf(s63,plain,
spl11_66,
inference(sat_conversion,[],[f2787]) ).
cnf(s64,plain,
( ~ spl11_20
| ~ spl11_32
| ~ spl11_66
| spl11_67 ),
inference(sat_conversion,[],[f2823]) ).
cnf(s70,plain,
( ~ spl11_1
| ~ spl11_6
| ~ spl11_7
| ~ spl11_13
| spl11_73 ),
inference(sat_conversion,[],[f3003]) ).
cnf(s71,plain,
( ~ spl11_7
| ~ spl11_8
| spl11_62
| ~ spl11_73
| spl11_74 ),
inference(sat_conversion,[],[f3053]) ).
cnf(s76,plain,
( spl11_4
| ~ spl11_10
| ~ spl11_14
| ~ spl11_20
| ~ spl11_62 ),
inference(sat_conversion,[],[f3086]) ).
cnf(s77,plain,
( ~ spl11_26
| ~ spl11_40
| ~ spl11_74
| spl11_75 ),
inference(sat_conversion,[],[f3134]) ).
cnf(s78,plain,
( ~ spl11_16
| ~ spl11_67
| ~ spl11_75 ),
inference(sat_conversion,[],[f3156]) ).
cnf(s81,plain,
spl11_67,
inference(rat,[],[s64,s31,s63,s20]) ).
cnf(s84,plain,
( ~ spl11_1
| spl11_3
| ~ spl11_6
| ~ spl11_7 ),
inference(rat,[],[s10,s11]) ).
cnf(s86,plain,
spl11_7,
inference(rat,[],[s9,s8]) ).
cnf(s91,plain,
( ~ spl11_1
| spl11_8 ),
inference(rat,[],[s5,s86,s6]) ).
cnf(s103,plain,
spl11_14,
inference(rat,[],[s14,s6,s86,s1]) ).
cnf(s104,plain,
spl11_3,
inference(rat,[],[s84,s86,s6,s1]) ).
cnf(s105,plain,
spl11_8,
inference(rat,[],[s91,s1]) ).
cnf(s113,plain,
~ spl11_4,
inference(rat,[],[s3,s104]) ).
cnf(s115,plain,
~ spl11_62,
inference(rat,[],[s76,s103,s20,s8,s113]) ).
cnf(s118,plain,
spl11_13,
inference(rat,[],[s13,s1,s86,s6,s113]) ).
cnf(s119,plain,
~ spl11_12,
inference(rat,[],[s12,s1,s86,s6,s113]) ).
cnf(s121,plain,
spl11_73,
inference(rat,[],[s70,s1,s6,s86,s118]) ).
cnf(s125,plain,
spl11_16,
inference(rat,[],[s16,s119]) ).
cnf(s129,plain,
spl11_74,
inference(rat,[],[s71,s115,s105,s86,s121]) ).
cnf(s130,plain,
~ spl11_75,
inference(rat,[],[s78,s81,s125]) ).
cnf(s133,plain,
$false,
inference(rat,[],[s77,s26,s39,s130,s129]) ).
fof(f3161,plain,
$false,
inference(avatar_sat_refutation,[],[s133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM556+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 : n003.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 20:30:41 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
% 9.79/2.27 % (897171)Detected formulas, will run a generic FOF schedule.
% 9.79/2.27 % (897180)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=319684059:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.79/2.27 % (897180)Instruction limit reached!
% 9.79/2.27 % (897180)------------------------------
% 9.79/2.27 % (897180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.27 % (897180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.27 % (897180)CaDiCaL version: 2.1.3
% 9.79/2.27 % (897180)Termination reason: Instruction limit
% 9.79/2.27 % (897180)Termination phase: Saturation
% 9.79/2.27 % (897180)Time elapsed: 0.033 s
% 9.79/2.27 % (897180)Peak memory usage: 88 MB
% 9.79/2.27 % (897180)Instructions burned: 125 (million)
% 9.79/2.27 % (897182)dis-21_1_sil=8000:lcm=predicate:random_seed=3166142046: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)
% 9.79/2.27 % (897178)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=1970821179:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.79/2.27 % (897176)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=2796566543:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.79/2.27 % (897181)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1772658210:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.79/2.27 % (897179)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1818446516:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.79/2.27 % (897177)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=3630997152:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.79/2.27 % (897182)Instruction limit reached!
% 9.79/2.27 % (897182)------------------------------
% 9.79/2.27 % (897182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.27 % (897182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.27 % (897182)CaDiCaL version: 2.1.3
% 9.79/2.27 % (897182)Termination reason: Instruction limit
% 9.79/2.27 % (897182)Termination phase: Saturation
% 9.79/2.27 % (897182)Time elapsed: 0.059 s
% 9.79/2.27 % (897182)Peak memory usage: 88 MB
% 9.79/2.27 % (897182)Instructions burned: 129 (million)
% 9.79/2.27 % (897179)Instruction limit reached!
% 9.79/2.27 % (897179)------------------------------
% 9.79/2.27 % (897179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.27 % (897179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.27 % (897179)CaDiCaL version: 2.1.3
% 9.79/2.27 % (897179)Termination reason: Instruction limit
% 9.79/2.27 % (897179)Termination phase: Saturation
% 9.79/2.27 % (897179)Time elapsed: 0.074 s
% 9.79/2.27 % (897179)Peak memory usage: 89 MB
% 9.79/2.27 % (897179)Instructions burned: 109 (million)
% 9.79/2.27 % (897181)Instruction limit reached!
% 9.79/2.27 % (897181)------------------------------
% 9.79/2.27 % (897181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.27 % (897181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.27 % (897181)CaDiCaL version: 2.1.3
% 9.79/2.27 % (897181)Termination reason: Instruction limit
% 9.79/2.27 % (897181)Termination phase: Saturation
% 9.79/2.27 % (897181)Time elapsed: 0.101 s
% 9.79/2.27 % (897181)Peak memory usage: 90 MB
% 9.79/2.27 % (897181)Instructions burned: 140 (million)
% 9.79/2.27 % (897184)lrs+10_1_sil=8000:sp=occurrence:random_seed=3494722953:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.79/2.27 % (897184)Instruction limit reached!
% 9.79/2.27 % (897184)------------------------------
% 9.79/2.27 % (897184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.27 % (897184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.27 % (897184)CaDiCaL version: 2.1.3
% 9.79/2.27 % (897184)Termination reason: Instruction limit
% 9.79/2.27 % (897184)Termination phase: Saturation
% 9.79/2.27 % (897184)Time elapsed: 0.100 s
% 9.79/2.27 % (897184)Peak memory usage: 92 MB
% 9.79/2.27 % (897184)Instructions burned: 287 (million)
% 9.79/2.27 % (897191)lrs+10_1_sil=32000:urr=on:br=off:random_seed=698910635:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.79/2.27 % (897192)lrs+1011_1_sil=32000:sp=occurrence:random_seed=754222591:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.79/2.27 % (897194)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=822839511:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 9.79/2.27 % (897191)Instruction limit reached!
% 9.79/2.27 % (897191)------------------------------
% 9.79/2.27 % (897191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.27 % (897191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.27 % (897191)CaDiCaL version: 2.1.3
% 9.79/2.27 % (897191)Termination reason: Instruction limit
% 9.79/2.27 % (897191)Termination phase: Saturation
% 9.79/2.27 % (897191)Time elapsed: 0.082 s
% 9.79/2.27 % (897191)Peak memory usage: 89 MB
% 9.79/2.27 % (897191)Instructions burned: 158 (million)
% 9.79/2.27 % (897195)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=137695674:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 9.79/2.27 % (897194)Instruction limit reached!
% 9.79/2.27 % (897194)------------------------------
% 9.79/2.27 % (897194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.27 % (897194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.27 % (897194)CaDiCaL version: 2.1.3
% 9.79/2.27 % (897194)Termination reason: Instruction limit
% 9.79/2.27 % (897194)Termination phase: Saturation
% 9.79/2.27 % (897194)Time elapsed: 0.142 s
% 9.79/2.27 % (897194)Peak memory usage: 92 MB
% 9.79/2.27 % (897194)Instructions burned: 249 (million)
% 9.79/2.27 % (897195)Instruction limit reached!
% 9.79/2.27 % (897195)------------------------------
% 9.79/2.27 % (897195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.27 % (897195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.27 % (897195)CaDiCaL version: 2.1.3
% 9.79/2.27 % (897195)Termination reason: Instruction limit
% 9.79/2.27 % (897195)Termination phase: Saturation
% 9.79/2.27 % (897195)Time elapsed: 0.101 s
% 9.79/2.27 % (897195)Peak memory usage: 90 MB
% 9.79/2.27 % (897195)Instructions burned: 296 (million)
% 9.79/2.27 % (897192)Instruction limit reached!
% 9.79/2.27 % (897192)------------------------------
% 9.79/2.27 % (897192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.27 % (897192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.27 % (897192)CaDiCaL version: 2.1.3
% 9.79/2.27 % (897192)Termination reason: Instruction limit
% 9.79/2.27 % (897192)Termination phase: Saturation
% 9.79/2.27 % (897192)Time elapsed: 0.220 s
% 9.79/2.27 % (897192)Peak memory usage: 91 MB
% 9.79/2.27 % (897192)Instructions burned: 326 (million)
% 9.79/2.27 % (897199)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3025937888:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 9.79/2.27 % (897201)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3026544577:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.79/2.27 % (897202)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=446089986:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 9.79/2.27 % (897203)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1563549430:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 9.79/2.27 % (897202)Instruction limit reached!
% 9.79/2.27 % (897202)------------------------------
% 9.79/2.27 % (897202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.27 % (897202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.27 % (897202)CaDiCaL version: 2.1.3
% 9.79/2.27 % (897202)Termination reason: Instruction limit
% 9.79/2.27 % (897202)Termination phase: Saturation
% 9.79/2.27 % (897202)Time elapsed: 0.037 s
% 9.79/2.27 % (897202)Peak memory usage: 89 MB
% 9.79/2.27 % (897202)Instructions burned: 129 (million)
% 9.79/2.27 % (897201)Instruction limit reached!
% 9.79/2.27 % (897201)------------------------------
% 9.79/2.27 % (897201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.27 % (897201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.27 % (897201)CaDiCaL version: 2.1.3
% 9.79/2.27 % (897201)Termination reason: Instruction limit
% 9.79/2.27 % (897201)Termination phase: Saturation
% 9.79/2.27 % (897201)Time elapsed: 0.076 s
% 9.79/2.27 % (897201)Peak memory usage: 90 MB
% 9.79/2.27 % (897201)Instructions burned: 113 (million)
% 9.79/2.27 % (897203)Instruction limit reached!
% 9.79/2.27 % (897203)------------------------------
% 9.79/2.27 % (897203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.27 % (897203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.27 % (897203)CaDiCaL version: 2.1.3
% 9.79/2.27 % (897203)Termination reason: Instruction limit
% 9.79/2.27 % (897203)Termination phase: Saturation
% 9.79/2.27 % (897203)Time elapsed: 0.079 s
% 9.79/2.27 % (897203)Peak memory usage: 89 MB
% 9.79/2.27 % (897203)Instructions burned: 115 (million)
% 9.79/2.27 % (897208)lrs+10_1_sil=8000:sp=occurrence:random_seed=959332557:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 9.79/2.27 % (897209)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3823224368:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 9.79/2.27 % (897210)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=711981798:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 9.79/2.27 % (897178)First to succeed.
% 9.79/2.27 % (897209)Instruction limit reached!
% 9.79/2.27 % (897209)------------------------------
% 9.79/2.27 % (897209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.27 % (897209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.27 % (897209)CaDiCaL version: 2.1.3
% 9.79/2.27 % (897209)Termination reason: Instruction limit
% 9.79/2.27 % (897209)Termination phase: Saturation
% 9.79/2.27 % (897209)Time elapsed: 0.192 s
% 9.79/2.27 % (897209)Peak memory usage: 90 MB
% 9.79/2.27 % (897209)Instructions burned: 437 (million)
% 9.79/2.27 % (897178)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-897171"
% 9.79/2.27 % (897176)Also succeeded, but the first one will report.
% 9.79/2.27 % (897208)Instruction limit reached!
% 9.79/2.27 % (897208)------------------------------
% 9.79/2.27 % (897208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.27 % (897208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.27 % (897208)CaDiCaL version: 2.1.3
% 9.79/2.27 % (897208)Termination reason: Instruction limit
% 9.79/2.27 % (897208)Termination phase: Saturation
% 9.79/2.27 % (897208)Time elapsed: 0.292 s
% 9.79/2.27 % (897208)Peak memory usage: 97 MB
% 9.79/2.27 % (897208)Instructions burned: 910 (million)
% 9.79/2.27 % (897214)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2927106214:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 9.79/2.27 % (897215)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2333779245:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 9.79/2.27 % (897214)Instruction limit reached!
% 9.79/2.27 % (897214)------------------------------
% 9.79/2.27 % (897214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.79/2.27 % (897214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.79/2.27 % (897214)CaDiCaL version: 2.1.3
% 9.79/2.27 % (897214)Termination reason: Instruction limit
% 9.79/2.27 % (897214)Termination phase: Saturation
% 9.79/2.27 % (897214)Time elapsed: 0.079 s
% 9.79/2.27 % (897214)Peak memory usage: 91 MB
% 9.79/2.27 % (897214)Instructions burned: 135 (million)
% 9.79/2.27 % (897178)Refutation found. Thanks to Tanya!
% 9.79/2.27 % SZS status Theorem for theBenchmark
% 9.79/2.27 % SZS output start Proof for theBenchmark
% See solution above
% 10.50/2.46 % (897178)------------------------------
% 10.50/2.46 % (897178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.50/2.46 % (897178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/2.46 % (897178)CaDiCaL version: 2.1.3
% 10.50/2.46 % (897178)Termination reason: Refutation
% 10.50/2.46 % (897178)Time elapsed: 0.966 s
% 10.50/2.46 % (897178)Peak memory usage: 134 MB
% 10.50/2.46 % (897178)Instructions burned: 1476 (million)
% 10.50/2.46 % (897178)------------------------------
% 10.50/2.46 % (897178)------------------------------
% 10.50/2.46 % (897171)Success in time 1.418 s
% 10.50/2.46 % Vampire exiting
%------------------------------------------------------------------------------