%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM480+2 : 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 : n013.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 12:15:22 PM UTC 2026
% Result : Theorem 2.53s 1.29s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 12
% Syntax : Number of formulae : 85 ( 25 unt; 4 def)
% Number of atoms : 264 ( 67 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 319 ( 140 ~; 127 |; 37 &)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 66 ( 0 sgn 60 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f36,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1524) ).
fof(f37,axiom,
( xl != sz00
& ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xl,X0) )
& doDivides0(xl,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1524_04) ).
fof(f38,axiom,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1553) ).
fof(f40,conjecture,
( ( aNaturalNumber0(sdtsldt0(xm,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl)) )
=> ( sdtasdt0(xn,xm) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
| sdtasdt0(xn,sdtsldt0(xm,xl)) = sdtsldt0(sdtasdt0(xn,xm),xl) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f41,negated_conjecture,
~ ( ( aNaturalNumber0(sdtsldt0(xm,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl)) )
=> ( sdtasdt0(xn,xm) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
| sdtasdt0(xn,sdtsldt0(xm,xl)) = sdtsldt0(sdtasdt0(xn,xm),xl) ) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f44,plain,
( sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
& sdtsldt0(sdtasdt0(xn,xm),xl) != sdtasdt0(xn,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl)) ),
inference(ennf_transformation,[],[f41]) ).
fof(f45,plain,
( sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
& sdtsldt0(sdtasdt0(xn,xm),xl) != sdtasdt0(xn,sdtsldt0(xm,xl))
& aNaturalNumber0(sdtsldt0(xm,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl)) ),
inference(flattening,[],[f44]) ).
fof(f51,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f52,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f54,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f53]) ).
fof(f63,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f64,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f66,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
( xl != sz00
& aNaturalNumber0(sK0)
& xm = sdtasdt0(xl,sK0)
& doDivides0(xl,xm) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f37]) ).
fof(f68,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f64]) ).
fof(f69,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X3) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK1(X0,X1))
& sdtasdt0(X0,sK1(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f69]) ).
fof(f71,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f66]) ).
fof(f72,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f36]) ).
fof(f74,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f36]) ).
fof(f76,plain,
xm = sdtasdt0(xl,sK0),
inference(cnf_transformation,[],[f67]) ).
fof(f77,plain,
aNaturalNumber0(sK0),
inference(cnf_transformation,[],[f67]) ).
fof(f78,plain,
sz00 != xl,
inference(cnf_transformation,[],[f67]) ).
fof(f79,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f38]) ).
fof(f86,plain,
aNaturalNumber0(sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f45]) ).
fof(f88,plain,
sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(cnf_transformation,[],[f45]) ).
fof(f95,plain,
! [X2,X0,X1] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f52]) ).
fof(f96,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f103,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f106,plain,
! [X2,X0,X1] :
( sdtsldt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f107,definition,
~ sP2(sz00),
introduced(definition,[new_symbols(definition,[sP2])],[inequality_splitting_name_introduction]) ).
fof(f108,plain,
sP2(xl),
inference(inequality_splitting,[],[f78,f107]) ).
fof(f109,definition,
~ sP3(sdtasdt0(xn,xm)),
introduced(definition,[new_symbols(definition,[sP3])],[inequality_splitting_name_introduction]) ).
fof(f110,plain,
sP3(sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))),
inference(inequality_splitting,[],[f88,f109]) ).
fof(f115,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f103]) ).
fof(f116,plain,
! [X2,X0] :
( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f106]) ).
fof(f119,plain,
aNaturalNumber0(sdtasdt0(xl,sK0)),
inference(forward_demodulation,[],[f73,f76]) ).
fof(f121,plain,
( ~ sP3(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f109,f96]) ).
fof(f122,plain,
( ~ sP3(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f121,f79]) ).
fof(f124,plain,
( ~ sP3(sdtasdt0(sdtasdt0(xl,sK0),xn))
| ~ aNaturalNumber0(xm) ),
inference(forward_demodulation,[],[f122,f76]) ).
fof(f126,plain,
( ~ aNaturalNumber0(sdtasdt0(xl,sK0))
| ~ sP3(sdtasdt0(sdtasdt0(xl,sK0),xn)) ),
inference(forward_demodulation,[],[f124,f76]) ).
fof(f128,plain,
~ sP3(sdtasdt0(sdtasdt0(xl,sK0),xn)),
inference(forward_subsumption_resolution,[],[f126,f119]) ).
fof(f150,plain,
( ~ sP3(sdtasdt0(xl,sdtasdt0(sK0,xn)))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f128,f95]) ).
fof(f151,plain,
( ~ sP3(sdtasdt0(xl,sdtasdt0(sK0,xn)))
| ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f150,f74]) ).
fof(f154,plain,
( ~ sP3(sdtasdt0(xl,sdtasdt0(sK0,xn)))
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f151,f77]) ).
fof(f157,plain,
~ sP3(sdtasdt0(xl,sdtasdt0(sK0,xn))),
inference(forward_subsumption_resolution,[],[f154,f79]) ).
fof(f193,definition,
( spl6_1
<=> sz00 = xl ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f194,plain,
( sz00 != xl
| spl6_1 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f195,plain,
( sz00 = xl
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f221,plain,
( sP3(sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),xn)))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(superposition,[],[f110,f96]) ).
fof(f222,plain,
( sP3(sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),xn)))
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(forward_subsumption_resolution,[],[f221,f79]) ).
fof(f224,plain,
sP3(sdtasdt0(xl,sdtasdt0(sdtsldt0(xm,xl),xn))),
inference(forward_subsumption_resolution,[],[f222,f86]) ).
fof(f226,plain,
sP3(sdtasdt0(xl,sdtasdt0(sdtsldt0(sdtasdt0(xl,sK0),xl),xn))),
inference(forward_demodulation,[],[f224,f76]) ).
fof(f263,definition,
( spl6_6
<=> doDivides0(xl,sdtasdt0(xl,sK0)) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f264,plain,
( doDivides0(xl,sdtasdt0(xl,sK0))
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f265,plain,
( ~ doDivides0(xl,sdtasdt0(xl,sK0))
| spl6_6 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f281,plain,
( ~ aNaturalNumber0(sK0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,sK0))
| spl6_6 ),
inference(resolution,[],[f265,f115]) ).
fof(f286,plain,
( ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,sK0))
| spl6_6 ),
inference(forward_subsumption_resolution,[],[f281,f77]) ).
fof(f289,plain,
( ~ aNaturalNumber0(sdtasdt0(xl,sK0))
| spl6_6 ),
inference(forward_subsumption_resolution,[],[f286,f74]) ).
fof(f290,plain,
( $false
| spl6_6 ),
inference(forward_subsumption_resolution,[],[f289,f119]) ).
fof(f291,plain,
spl6_6,
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f392,plain,
( sP2(sz00)
| ~ spl6_1 ),
inference(superposition,[],[f108,f195]) ).
fof(f406,plain,
( $false
| ~ spl6_1 ),
inference(forward_subsumption_resolution,[],[f392,f107]) ).
fof(f407,plain,
~ spl6_1,
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f604,plain,
( sP3(sdtasdt0(xl,sdtasdt0(sK0,xn)))
| ~ aNaturalNumber0(sK0)
| sz00 = xl
| ~ doDivides0(xl,sdtasdt0(xl,sK0))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,sK0)) ),
inference(superposition,[],[f226,f116]) ).
fof(f605,plain,
( ~ aNaturalNumber0(sK0)
| sz00 = xl
| ~ doDivides0(xl,sdtasdt0(xl,sK0))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,sK0)) ),
inference(forward_subsumption_resolution,[],[f604,f157]) ).
fof(f608,plain,
( sz00 = xl
| ~ doDivides0(xl,sdtasdt0(xl,sK0))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,sK0)) ),
inference(forward_subsumption_resolution,[],[f605,f77]) ).
fof(f611,plain,
( ~ doDivides0(xl,sdtasdt0(xl,sK0))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,sK0))
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f608,f194]) ).
fof(f612,plain,
( ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,sK0))
| spl6_1
| ~ spl6_6 ),
inference(forward_subsumption_resolution,[],[f611,f264]) ).
fof(f613,plain,
( ~ aNaturalNumber0(sdtasdt0(xl,sK0))
| spl6_1
| ~ spl6_6 ),
inference(forward_subsumption_resolution,[],[f612,f74]) ).
fof(f614,plain,
( $false
| spl6_1
| ~ spl6_6 ),
inference(forward_subsumption_resolution,[],[f613,f119]) ).
fof(f615,plain,
( spl6_1
| ~ spl6_6 ),
inference(avatar_contradiction_clause,[],[f614]) ).
cnf(s9,plain,
spl6_6,
inference(sat_conversion,[],[f291]) ).
cnf(s15,plain,
~ spl6_1,
inference(sat_conversion,[],[f407]) ).
cnf(s19,plain,
( spl6_1
| ~ spl6_6 ),
inference(sat_conversion,[],[f615]) ).
cnf(s21,plain,
~ spl6_6,
inference(rat,[],[s19,s15]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s9,s21]) ).
fof(f616,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM480+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n013.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 20:05:37 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 2.53/1.29 % (519053)Detected formulas, will run a generic FOF schedule.
% 2.53/1.29 % (519059)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=453263326:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.53/1.29 % (519058)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=218775884:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.53/1.29 % (519064)dis-21_1_sil=8000:lcm=predicate:random_seed=1902658572: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)
% 2.53/1.29 % (519062)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=62511098:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.53/1.29 % (519061)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1868102028:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.53/1.29 % (519060)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=1611416808:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.53/1.29 % (519063)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3340597549:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.53/1.29 % (519061)First to succeed.
% 2.53/1.29 % (519062)Also succeeded, but the first one will report.
% 2.53/1.29 % (519061)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-519053"
% 2.53/1.29 % (519064)Instruction limit reached!
% 2.53/1.29 % (519064)------------------------------
% 2.53/1.29 % (519064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/1.29 % (519064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/1.29 % (519064)CaDiCaL version: 2.1.3
% 2.53/1.29 % (519064)Termination reason: Instruction limit
% 2.53/1.29 % (519064)Termination phase: Saturation
% 2.53/1.29 % (519064)Time elapsed: 0.080 s
% 2.53/1.29 % (519064)Peak memory usage: 90 MB
% 2.53/1.29 % (519064)Instructions burned: 130 (million)
% 2.53/1.29 % (519063)Instruction limit reached!
% 2.53/1.29 % (519063)------------------------------
% 2.53/1.29 % (519063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/1.29 % (519063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/1.29 % (519063)CaDiCaL version: 2.1.3
% 2.53/1.29 % (519063)Termination reason: Instruction limit
% 2.53/1.29 % (519063)Termination phase: Saturation
% 2.53/1.29 % (519063)Time elapsed: 0.090 s
% 2.53/1.29 % (519063)Peak memory usage: 90 MB
% 2.53/1.29 % (519063)Instructions burned: 140 (million)
% 2.53/1.29 % (519072)lrs+10_1_sil=8000:sp=occurrence:random_seed=3156449869:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.53/1.29 % (519073)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2525202920:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.53/1.29 % (519061)Refutation found. Thanks to Tanya!
% 2.53/1.29 % SZS status Theorem for theBenchmark
% 2.53/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.52/1.49 % (519061)------------------------------
% 3.52/1.49 % (519061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.49 % (519061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.49 % (519061)CaDiCaL version: 2.1.3
% 3.52/1.49 % (519061)Termination reason: Refutation
% 3.52/1.49 % (519061)Time elapsed: 0.011 s
% 3.52/1.49 % (519061)Peak memory usage: 89 MB
% 3.52/1.49 % (519061)Instructions burned: 16 (million)
% 3.52/1.49 % (519061)------------------------------
% 3.52/1.49 % (519061)------------------------------
% 3.52/1.49 % (519053)Success in time 0.417 s
% 3.52/1.49 % Vampire exiting
%------------------------------------------------------------------------------