%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM556+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : 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 12:15:43 PM UTC 2026
% Result : Theorem 2.53s 1.28s
% Output : Refutation 3.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 13
% Syntax : Number of formulae : 95 ( 24 unt; 0 def)
% Number of atoms : 312 ( 62 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 355 ( 138 ~; 128 |; 71 &)
% ( 5 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 60 ( 59 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f18,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aSet0(X1) )
=> ( ~ aElementOf0(X0,X1)
=> sdtmndt0(sdtpldt0(X1,X0),X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDiffCons) ).
fof(f21,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> isFinite0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFConsSet) ).
fof(f22,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( aSet0(X1)
& isFinite0(X1) )
=> isFinite0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFDiffSet) ).
fof(f44,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( isFinite0(X0)
& aElementOf0(X1,X0) )
=> szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardDiff) ).
fof(f62,axiom,
( aSet0(xS)
& aSet0(xT)
& xk != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).
fof(f64,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2256) ).
fof(f65,axiom,
( aSet0(xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
& aSubsetOf0(xQ,xS)
& sbrdtbr0(xQ) = xk
& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2270) ).
fof(f66,axiom,
( aSet0(xQ)
& isFinite0(xQ)
& sbrdtbr0(xQ) = xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2291) ).
fof(f67,axiom,
( aElement0(xy)
& aElementOf0(xy,xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2304) ).
fof(f70,axiom,
( aSet0(sdtmndt0(xQ,xy))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(xQ,xy))
<=> ( aElement0(X0)
& aElementOf0(X0,xQ)
& X0 != xy ) )
& aSet0(xP)
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( aElement0(X0)
& ( aElementOf0(X0,sdtmndt0(xQ,xy))
| X0 = xx ) ) )
& xP = sdtpldt0(sdtmndt0(xQ,xy),xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2357) ).
fof(f71,axiom,
( ~ aElementOf0(xx,sdtmndt0(xQ,xy))
& aSet0(sdtmndt0(xQ,xy))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(xQ,xy))
<=> ( aElement0(X0)
& aElementOf0(X0,xQ)
& X0 != xy ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2411) ).
fof(f72,conjecture,
( ( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xP,xS) )
& sbrdtbr0(xP) = xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f73,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) )
| aSubsetOf0(xP,xS) )
& sbrdtbr0(xP) = xk ),
inference(negated_conjecture,[status(cth)],[f72]) ).
fof(f75,plain,
( aSet0(sdtmndt0(xQ,xy))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(xQ,xy))
<=> ( aElement0(X0)
& aElementOf0(X0,xQ)
& X0 != xy ) )
& aSet0(xP)
& ! [X1] :
( aElementOf0(X1,xP)
<=> ( aElement0(X1)
& ( aElementOf0(X1,sdtmndt0(xQ,xy))
| xx = X1 ) ) )
& xP = sdtpldt0(sdtmndt0(xQ,xy),xx) ),
inference(rectify,[],[f70]) ).
fof(f83,plain,
( aSet0(xQ)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) )
& aSubsetOf0(xQ,xS)
& sbrdtbr0(xQ) = xk
& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
inference(ennf_transformation,[],[f65]) ).
fof(f84,plain,
( ( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,xP) )
& ~ aSubsetOf0(xP,xS) )
| xk != sbrdtbr0(xP) ),
inference(ennf_transformation,[],[f73]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ aSet0(X1)
| ~ isFinite0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ aSet0(X1)
| ~ isFinite0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f117]) ).
fof(f121,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ aSet0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f122,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ aSet0(X1) ),
inference(flattening,[],[f121]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0)
| ~ isFinite0(X0)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) = sbrdtbr0(X0)
| ~ isFinite0(X0)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ isFinite0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ isFinite0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f128]) ).
fof(f159,plain,
( aSet0(sdtmndt0(xQ,xy))
& ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xQ,xy))
| ~ aElement0(X0)
| ~ aElementOf0(X0,xQ)
| xy = X0 )
& ( ( aElement0(X0)
& aElementOf0(X0,xQ)
& X0 != xy )
| ~ aElementOf0(X0,sdtmndt0(xQ,xy)) ) )
& aSet0(xP)
& ! [X1] :
( ( aElementOf0(X1,xP)
| ~ aElement0(X1)
| ( ~ aElementOf0(X1,sdtmndt0(xQ,xy))
& xx != X1 ) )
& ( ( aElement0(X1)
& ( aElementOf0(X1,sdtmndt0(xQ,xy))
| xx = X1 ) )
| ~ aElementOf0(X1,xP) ) )
& xP = sdtpldt0(sdtmndt0(xQ,xy),xx) ),
inference(nnf_transformation,[],[f75]) ).
fof(f160,plain,
( aSet0(sdtmndt0(xQ,xy))
& ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xQ,xy))
| ~ aElement0(X0)
| ~ aElementOf0(X0,xQ)
| xy = X0 )
& ( ( aElement0(X0)
& aElementOf0(X0,xQ)
& X0 != xy )
| ~ aElementOf0(X0,sdtmndt0(xQ,xy)) ) )
& aSet0(xP)
& ! [X1] :
( ( aElementOf0(X1,xP)
| ~ aElement0(X1)
| ( ~ aElementOf0(X1,sdtmndt0(xQ,xy))
& xx != X1 ) )
& ( ( aElement0(X1)
& ( aElementOf0(X1,sdtmndt0(xQ,xy))
| xx = X1 ) )
| ~ aElementOf0(X1,xP) ) )
& xP = sdtpldt0(sdtmndt0(xQ,xy),xx) ),
inference(flattening,[],[f159]) ).
fof(f161,plain,
( ~ aElementOf0(xx,sdtmndt0(xQ,xy))
& aSet0(sdtmndt0(xQ,xy))
& ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xQ,xy))
| ~ aElement0(X0)
| ~ aElementOf0(X0,xQ)
| xy = X0 )
& ( ( aElement0(X0)
& aElementOf0(X0,xQ)
& X0 != xy )
| ~ aElementOf0(X0,sdtmndt0(xQ,xy)) ) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f162,plain,
( ~ aElementOf0(xx,sdtmndt0(xQ,xy))
& aSet0(sdtmndt0(xQ,xy))
& ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xQ,xy))
| ~ aElement0(X0)
| ~ aElementOf0(X0,xQ)
| xy = X0 )
& ( ( aElement0(X0)
& aElementOf0(X0,xQ)
& X0 != xy )
| ~ aElementOf0(X0,sdtmndt0(xQ,xy)) ) ) ),
inference(flattening,[],[f161]) ).
fof(f163,plain,
( ( ~ aElementOf0(sK8,xS)
& aElementOf0(sK8,xP)
& ~ aSubsetOf0(xP,xS) )
| xk != sbrdtbr0(xP) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X0,sK8)],[f84]) ).
fof(f196,plain,
aSet0(xS),
inference(cnf_transformation,[],[f62]) ).
fof(f224,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f64]) ).
fof(f226,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f83]) ).
fof(f228,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f83]) ).
fof(f229,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f83]) ).
fof(f231,plain,
isFinite0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f233,plain,
aElementOf0(xy,xQ),
inference(cnf_transformation,[],[f67]) ).
fof(f234,plain,
aElement0(xy),
inference(cnf_transformation,[],[f67]) ).
fof(f237,plain,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
inference(cnf_transformation,[],[f160]) ).
fof(f238,plain,
! [X1] :
( aElementOf0(X1,sdtmndt0(xQ,xy))
| xx = X1
| ~ aElementOf0(X1,xP) ),
inference(cnf_transformation,[],[f160]) ).
fof(f239,plain,
! [X1] :
( ~ aElementOf0(X1,xP)
| aElement0(X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f240,plain,
! [X1] :
( aElementOf0(X1,xP)
| ~ aElement0(X1)
| xx != X1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f242,plain,
aSet0(xP),
inference(cnf_transformation,[],[f160]) ).
fof(f244,plain,
! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xQ,xy))
| aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f160]) ).
fof(f247,plain,
aSet0(sdtmndt0(xQ,xy)),
inference(cnf_transformation,[],[f160]) ).
fof(f253,plain,
~ aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(cnf_transformation,[],[f162]) ).
fof(f255,plain,
( xk != sbrdtbr0(xP)
| aElementOf0(sK8,xP) ),
inference(cnf_transformation,[],[f163]) ).
fof(f256,plain,
( xk != sbrdtbr0(xP)
| ~ aElementOf0(sK8,xS) ),
inference(cnf_transformation,[],[f163]) ).
fof(f294,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f296,plain,
! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f298,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aElement0(X0)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f312,plain,
! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ isFinite0(X0)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f313,plain,
! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f341,plain,
( aElementOf0(xx,xP)
| ~ aElement0(xx) ),
inference(equality_resolution,[],[f240]) ).
fof(f375,plain,
( aElement0(xx)
| ~ aSet0(xS) ),
inference(resolution,[],[f294,f224]) ).
fof(f382,plain,
aElement0(xx),
inference(forward_subsumption_resolution,[],[f375,f196]) ).
fof(f478,plain,
( isFinite0(xP)
| ~ aSet0(sdtmndt0(xQ,xy))
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aElement0(xx) ),
inference(superposition,[],[f296,f237]) ).
fof(f479,plain,
( isFinite0(xP)
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aElement0(xx) ),
inference(forward_subsumption_resolution,[],[f478,f247]) ).
fof(f480,plain,
( ~ isFinite0(sdtmndt0(xQ,xy))
| isFinite0(xP) ),
inference(forward_subsumption_resolution,[],[f479,f382]) ).
fof(f485,plain,
( ~ aSet0(xQ)
| ~ isFinite0(xQ)
| ~ aElement0(xy)
| isFinite0(xP) ),
inference(resolution,[],[f313,f480]) ).
fof(f486,plain,
( ~ isFinite0(xQ)
| ~ aElement0(xy)
| isFinite0(xP) ),
inference(forward_subsumption_resolution,[],[f485,f229]) ).
fof(f487,plain,
( ~ aElement0(xy)
| isFinite0(xP) ),
inference(forward_subsumption_resolution,[],[f486,f231]) ).
fof(f488,plain,
isFinite0(xP),
inference(forward_subsumption_resolution,[],[f487,f234]) ).
fof(f513,plain,
! [X0] :
( aElementOf0(X0,xQ)
| ~ aElementOf0(X0,xP)
| xx = X0 ),
inference(resolution,[],[f238,f244]) ).
fof(f839,plain,
( sdtmndt0(xQ,xy) = sdtmndt0(xP,xx)
| aElementOf0(xx,sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(superposition,[],[f298,f237]) ).
fof(f851,plain,
( sdtmndt0(xQ,xy) = sdtmndt0(xP,xx)
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(forward_subsumption_resolution,[],[f839,f253]) ).
fof(f852,plain,
( sdtmndt0(xQ,xy) = sdtmndt0(xP,xx)
| ~ aSet0(sdtmndt0(xQ,xy)) ),
inference(forward_subsumption_resolution,[],[f851,f382]) ).
fof(f853,plain,
sdtmndt0(xQ,xy) = sdtmndt0(xP,xx),
inference(forward_subsumption_resolution,[],[f852,f247]) ).
fof(f1060,plain,
( sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xP,xx)))
| ~ isFinite0(xQ)
| ~ aElementOf0(xy,xQ)
| ~ aSet0(xQ) ),
inference(superposition,[],[f312,f853]) ).
fof(f1074,plain,
( sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xP,xx)))
| ~ aElementOf0(xy,xQ)
| ~ aSet0(xQ) ),
inference(forward_subsumption_resolution,[],[f1060,f231]) ).
fof(f1076,plain,
( sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xP,xx)))
| ~ aSet0(xQ) ),
inference(forward_subsumption_resolution,[],[f1074,f233]) ).
fof(f1077,plain,
sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xP,xx))),
inference(forward_subsumption_resolution,[],[f1076,f229]) ).
fof(f1078,plain,
xk = szszuzczcdt0(sbrdtbr0(sdtmndt0(xP,xx))),
inference(forward_demodulation,[],[f1077,f226]) ).
fof(f1081,plain,
( xk = sbrdtbr0(xP)
| ~ isFinite0(xP)
| ~ aElementOf0(xx,xP)
| ~ aSet0(xP) ),
inference(superposition,[],[f312,f1078]) ).
fof(f1095,plain,
( xk = sbrdtbr0(xP)
| ~ aElementOf0(xx,xP)
| ~ aSet0(xP) ),
inference(forward_subsumption_resolution,[],[f1081,f488]) ).
fof(f1097,plain,
( xk = sbrdtbr0(xP)
| ~ aElementOf0(xx,xP) ),
inference(forward_subsumption_resolution,[],[f1095,f242]) ).
fof(f1099,plain,
( xk != xk
| ~ aElementOf0(sK8,xS)
| ~ aElementOf0(xx,xP) ),
inference(superposition,[],[f256,f1097]) ).
fof(f1100,plain,
( xk != xk
| aElementOf0(sK8,xP)
| ~ aElementOf0(xx,xP) ),
inference(superposition,[],[f255,f1097]) ).
fof(f1129,plain,
( aElementOf0(sK8,xP)
| ~ aElementOf0(xx,xP) ),
inference(trivial_inequality_removal,[],[f1100]) ).
fof(f1130,plain,
( ~ aElementOf0(sK8,xS)
| ~ aElementOf0(xx,xP) ),
inference(trivial_inequality_removal,[],[f1099]) ).
fof(f1205,plain,
( ~ aElementOf0(xx,xP)
| aElement0(sK8) ),
inference(resolution,[],[f1129,f239]) ).
fof(f1208,plain,
( aElement0(sK8)
| ~ aElement0(xx) ),
inference(resolution,[],[f1205,f341]) ).
fof(f1211,plain,
aElement0(sK8),
inference(forward_subsumption_resolution,[],[f1208,f382]) ).
fof(f1269,plain,
( ~ aElementOf0(sK8,xQ)
| ~ aElementOf0(xx,xP) ),
inference(resolution,[],[f1130,f228]) ).
fof(f1341,plain,
( ~ aElementOf0(xx,xP)
| ~ aElementOf0(sK8,xP)
| xx = sK8 ),
inference(resolution,[],[f1269,f513]) ).
fof(f1344,plain,
( ~ aElementOf0(xx,xP)
| xx = sK8 ),
inference(forward_subsumption_resolution,[],[f1341,f1129]) ).
fof(f1345,plain,
( xx = sK8
| ~ aElement0(xx) ),
inference(resolution,[],[f1344,f341]) ).
fof(f1348,plain,
xx = sK8,
inference(forward_subsumption_resolution,[],[f1345,f382]) ).
fof(f1350,plain,
aElementOf0(sK8,xS),
inference(superposition,[],[f224,f1348]) ).
fof(f1354,plain,
( aElementOf0(sK8,xP)
| ~ aElement0(sK8) ),
inference(superposition,[],[f341,f1348]) ).
fof(f1372,plain,
aElementOf0(sK8,xP),
inference(forward_subsumption_resolution,[],[f1354,f1211]) ).
fof(f1377,plain,
~ aElementOf0(xx,xP),
inference(resolution,[],[f1350,f1130]) ).
fof(f1379,plain,
~ aElementOf0(sK8,xP),
inference(forward_demodulation,[],[f1377,f1348]) ).
fof(f1386,plain,
$false,
inference(forward_subsumption_resolution,[],[f1379,f1372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM556+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.38 % Computer : n004.cluster.edu
% 0.04/0.38 % Model : x86_64 x86_64
% 0.04/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.38 % Memory : 8046.5625MB
% 0.04/0.38 % OS : Linux 6.8.0-71-generic
% 0.04/0.38 % CPULimit : 300
% 0.04/0.38 % WCLimit : 300
% 0.04/0.38 % DateTime : Sun Sep 27 20:28:37 UTC 2026
% 0.04/0.38 % CPUTime :
% 0.04/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.42 Running first-order theorem proving
% 0.04/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.53/1.28 % (3855942)Detected formulas, will run a generic FOF schedule.
% 2.53/1.28 % (3855953)dis-21_1_sil=8000:lcm=predicate:random_seed=2098170627:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.53/1.28 % (3855948)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=2196892465:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.53/1.28 % (3855951)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=438086430:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.53/1.28 % (3855947)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=628825881:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.53/1.28 % (3855949)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=747777713:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.53/1.28 % (3855953)Instruction limit reached!
% 2.53/1.28 % (3855953)------------------------------
% 2.53/1.28 % (3855953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/1.28 % (3855953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/1.28 % (3855953)CaDiCaL version: 2.1.3
% 2.53/1.28 % (3855953)Termination reason: Instruction limit
% 2.53/1.28 % (3855953)Termination phase: Saturation
% 2.53/1.28 % (3855953)Time elapsed: 0.037 s
% 2.53/1.28 % (3855953)Peak memory usage: 88 MB
% 2.53/1.28 % (3855953)Instructions burned: 149 (million)
% 2.53/1.28 % (3855950)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2334114509:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.53/1.28 % (3855952)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2465273436:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.53/1.28 % (3855951)First to succeed.
% 2.53/1.28 % (3855951)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3855942"
% 2.53/1.28 % (3855950)Also succeeded, but the first one will report.
% 2.53/1.28 % (3855959)lrs+10_1_sil=8000:sp=occurrence:random_seed=3272794347:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.53/1.28 % (3855952)Instruction limit reached!
% 2.53/1.28 % (3855952)------------------------------
% 2.53/1.28 % (3855952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/1.28 % (3855952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/1.28 % (3855952)CaDiCaL version: 2.1.3
% 2.53/1.28 % (3855952)Termination reason: Instruction limit
% 2.53/1.28 % (3855952)Termination phase: Saturation
% 2.53/1.28 % (3855952)Time elapsed: 0.100 s
% 2.53/1.28 % (3855952)Peak memory usage: 90 MB
% 2.53/1.28 % (3855952)Instructions burned: 140 (million)
% 2.53/1.28 % (3855959)Also succeeded, but the first one will report.
% 2.53/1.28 % (3855963)lrs+10_1_sil=32000:urr=on:br=off:random_seed=519093862:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.53/1.28 % (3855951)Refutation found. Thanks to Tanya!
% 2.53/1.28 % SZS status Theorem for theBenchmark
% 2.53/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.45/1.38 % (3855951)------------------------------
% 3.45/1.38 % (3855951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.38 % (3855951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.38 % (3855951)CaDiCaL version: 2.1.3
% 3.45/1.38 % (3855951)Termination reason: Refutation
% 3.45/1.38 % (3855951)Time elapsed: 0.027 s
% 3.45/1.38 % (3855951)Peak memory usage: 88 MB
% 3.45/1.38 % (3855951)Instructions burned: 40 (million)
% 3.45/1.38 % (3855951)------------------------------
% 3.45/1.38 % (3855951)------------------------------
% 3.45/1.38 % (3855942)Success in time 0.423 s
% 3.45/1.38 % Vampire exiting
%------------------------------------------------------------------------------