%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM504+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 : n016.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 12:15:29 PM UTC 2026
% Result : ContradictoryAxioms 2.22s 1.15s
% Output : Refutation 2.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of formulae : 97 ( 24 unt; 7 def)
% Number of atoms : 336 ( 102 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 410 ( 171 ~; 170 |; 50 &)
% ( 11 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 63 ( 0 sgn 60 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).
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(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& doDivides0(X1,X0) )
=> ( X1 = sz10
| X1 = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f41,axiom,
( isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f51,axiom,
( sdtasdt0(xn,xm) != sdtasdt0(xp,xm)
& sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& sdtasdt0(xp,xm) != sdtasdt0(xp,xk)
& sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2414) ).
fof(f85,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f86,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f88,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f87]) ).
fof(f97,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f98,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f97]) ).
fof(f103,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f104,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f103]) ).
fof(f108,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(f109,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,[],[f108]) ).
fof(f129,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f98]) ).
fof(f130,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ? [X1] :
( sz10 != X1
& X0 != X1
& aNaturalNumber0(X1)
& doDivides0(X1,X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X2] :
( sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f130]) ).
fof(f132,plain,
! [X0] :
( ( ( isPrime0(X0)
| sz00 = X0
| sz10 = X0
| ( sz10 != sK3(X0)
& sK3(X0) != X0
& aNaturalNumber0(sK3(X0))
& doDivides0(sK3(X0),X0) ) )
& ( ( X0 != sz00
& X0 != sz10
& ! [X2] :
( sz10 = X2
| X0 = X2
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X2,X0) ) )
| ~ isPrime0(X0) ) )
| ~ aNaturalNumber0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f131]) ).
fof(f133,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,[],[f109]) ).
fof(f134,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,[],[f133]) ).
fof(f135,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f136,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f137,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f139,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f140,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f147,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f158,plain,
sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)),
inference(cnf_transformation,[],[f51]) ).
fof(f159,plain,
sdtasdt0(xp,xm) != sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f51]) ).
fof(f160,plain,
sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
inference(cnf_transformation,[],[f51]) ).
fof(f184,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f185,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f196,plain,
! [X0] :
( sz00 != X0
| ~ isPrime0(X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f204,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f207,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f241,definition,
~ sP11(sdtasdt0(xp,xm)),
introduced(definition,[new_symbols(definition,[sP11])],[inequality_splitting_name_introduction]) ).
fof(f242,plain,
sP11(sdtasdt0(xp,xk)),
inference(inequality_splitting,[],[f159,f241]) ).
fof(f249,definition,
~ sP15(sz00),
introduced(definition,[new_symbols(definition,[sP15])],[inequality_splitting_name_introduction]) ).
fof(f250,plain,
! [X0] :
( ~ isPrime0(X0)
| sP15(X0)
| ~ aNaturalNumber0(X0) ),
inference(inequality_splitting,[],[f196,f249]) ).
fof(f264,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f207]) ).
fof(f267,plain,
( sP15(xp)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f140,f250]) ).
fof(f268,plain,
sP15(xp),
inference(forward_subsumption_resolution,[],[f267,f135]) ).
fof(f369,definition,
( spl20_10
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl20_10])],[avatar_definition]) ).
fof(f370,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl20_10 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f371,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl20_10 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f399,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xn))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl20_10 ),
inference(superposition,[],[f371,f184]) ).
fof(f402,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl20_10 ),
inference(forward_subsumption_resolution,[],[f399,f185]) ).
fof(f405,plain,
( ~ aNaturalNumber0(xn)
| spl20_10 ),
inference(forward_subsumption_resolution,[],[f402,f136]) ).
fof(f410,plain,
( $false
| spl20_10 ),
inference(forward_subsumption_resolution,[],[f405,f137]) ).
fof(f411,plain,
spl20_10,
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f434,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| sz00 = xp
| ~ doDivides0(xp,sdtasdt0(xn,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[],[f264,f147]) ).
fof(f437,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| sz00 = xp
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f434,f139]) ).
fof(f443,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| sz00 = xp
| ~ aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(forward_subsumption_resolution,[],[f437,f135]) ).
fof(f449,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| sz00 = xp
| ~ spl20_10 ),
inference(forward_subsumption_resolution,[],[f443,f370]) ).
fof(f459,definition,
( spl20_18
<=> sz00 = xp ),
introduced(definition,[new_symbols(definition,[spl20_18])],[avatar_definition]) ).
fof(f461,plain,
( sz00 = xp
| ~ spl20_18 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f476,definition,
( spl20_21
<=> sdtasdt0(xn,xm) = sdtasdt0(xp,xk) ),
introduced(definition,[new_symbols(definition,[spl20_21])],[avatar_definition]) ).
fof(f478,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| ~ spl20_21 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f479,plain,
( spl20_18
| spl20_21
| ~ spl20_10 ),
inference(avatar_split_clause,[],[f449,f369,f476,f459]) ).
fof(f518,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm))
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(resolution,[],[f158,f204]) ).
fof(f675,plain,
( sP15(sz00)
| ~ spl20_18 ),
inference(superposition,[],[f268,f461]) ).
fof(f680,plain,
( $false
| ~ spl20_18 ),
inference(forward_subsumption_resolution,[],[f675,f249]) ).
fof(f681,plain,
~ spl20_18,
inference(avatar_contradiction_clause,[],[f680]) ).
fof(f686,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl20_21 ),
inference(forward_demodulation,[],[f518,f478]) ).
fof(f688,definition,
( spl20_37
<=> aNaturalNumber0(sdtasdt0(xp,xm)) ),
introduced(definition,[new_symbols(definition,[spl20_37])],[avatar_definition]) ).
fof(f690,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| spl20_37 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f696,definition,
( spl20_39
<=> sdtasdt0(xn,xm) = sdtasdt0(xp,xm) ),
introduced(definition,[new_symbols(definition,[spl20_39])],[avatar_definition]) ).
fof(f698,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xm)
| ~ spl20_39 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f713,plain,
( sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl20_21 ),
inference(forward_subsumption_resolution,[],[f686,f160]) ).
fof(f717,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl20_21 ),
inference(forward_demodulation,[],[f713,f478]) ).
fof(f723,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sdtasdt0(xn,xm) = sdtasdt0(xp,xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl20_21 ),
inference(forward_demodulation,[],[f717,f478]) ).
fof(f729,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl20_10
| ~ spl20_21 ),
inference(forward_subsumption_resolution,[],[f723,f370]) ).
fof(f730,plain,
( ~ spl20_37
| spl20_39
| ~ spl20_10
| ~ spl20_21 ),
inference(avatar_split_clause,[],[f729,f476,f369,f696,f688]) ).
fof(f777,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| spl20_37 ),
inference(resolution,[],[f690,f185]) ).
fof(f778,plain,
( ~ aNaturalNumber0(xm)
| spl20_37 ),
inference(forward_subsumption_resolution,[],[f777,f135]) ).
fof(f779,plain,
( $false
| spl20_37 ),
inference(forward_subsumption_resolution,[],[f778,f136]) ).
fof(f780,plain,
spl20_37,
inference(avatar_contradiction_clause,[],[f779]) ).
fof(f1445,plain,
( sP11(sdtasdt0(xn,xm))
| ~ spl20_21 ),
inference(superposition,[],[f242,f478]) ).
fof(f1473,plain,
( sP11(sdtasdt0(xp,xm))
| ~ spl20_21
| ~ spl20_39 ),
inference(forward_demodulation,[],[f1445,f698]) ).
fof(f1485,plain,
( $false
| ~ spl20_21
| ~ spl20_39 ),
inference(forward_subsumption_resolution,[],[f1473,f241]) ).
fof(f1486,plain,
( ~ spl20_21
| ~ spl20_39 ),
inference(avatar_contradiction_clause,[],[f1485]) ).
cnf(s12,plain,
spl20_10,
inference(sat_conversion,[],[f411]) ).
cnf(s17,plain,
( ~ spl20_10
| spl20_18
| spl20_21 ),
inference(sat_conversion,[],[f479]) ).
cnf(s29,plain,
~ spl20_18,
inference(sat_conversion,[],[f681]) ).
cnf(s36,plain,
( ~ spl20_10
| ~ spl20_21
| ~ spl20_37
| spl20_39 ),
inference(sat_conversion,[],[f730]) ).
cnf(s43,plain,
spl20_37,
inference(sat_conversion,[],[f780]) ).
cnf(s92,plain,
( ~ spl20_21
| ~ spl20_39 ),
inference(sat_conversion,[],[f1486]) ).
cnf(s95,plain,
( ~ spl20_10
| ~ spl20_21
| spl20_39 ),
inference(rat,[],[s36,s43]) ).
cnf(s101,plain,
( ~ spl20_10
| spl20_21 ),
inference(rat,[],[s17,s29]) ).
cnf(s107,plain,
spl20_21,
inference(rat,[],[s101,s12]) ).
cnf(s109,plain,
~ spl20_39,
inference(rat,[],[s92,s107]) ).
cnf(s110,plain,
$false,
inference(rat,[],[s95,s12,s109,s107]) ).
fof(f1512,plain,
$false,
inference(avatar_sat_refutation,[],[s110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM504+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n016.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 20:18:48 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 2.22/1.15 % (2963405)Detected formulas, will run a generic FOF schedule.
% 2.22/1.15 % (2963413)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3756175286:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.22/1.15 % (2963413)First to succeed.
% 2.22/1.15 % (2963413)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2963405"
% 2.22/1.15 % (2963414)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1284614974:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.22/1.15 % (2963411)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=1446026603:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.22/1.15 % (2963410)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=3109368463:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.22/1.15 % (2963416)dis-21_1_sil=8000:lcm=predicate:random_seed=2881789683: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)
% 2.22/1.15 % (2963412)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=1327218734:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.22/1.15 % (2963415)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1376972211:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.22/1.15 % (2963415)Also succeeded, but the first one will report.
% 2.22/1.15 % (2963414)Instruction limit reached!
% 2.22/1.15 % (2963414)------------------------------
% 2.22/1.15 % (2963414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.22/1.15 % (2963414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/1.15 % (2963414)CaDiCaL version: 2.1.3
% 2.22/1.15 % (2963414)Termination reason: Instruction limit
% 2.22/1.15 % (2963414)Termination phase: Saturation
% 2.22/1.15 % (2963414)Time elapsed: 0.072 s
% 2.22/1.15 % (2963414)Peak memory usage: 89 MB
% 2.22/1.15 % (2963414)Instructions burned: 120 (million)
% 2.22/1.15 % (2963416)Instruction limit reached!
% 2.22/1.15 % (2963416)------------------------------
% 2.22/1.15 % (2963416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.22/1.15 % (2963416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/1.15 % (2963416)CaDiCaL version: 2.1.3
% 2.22/1.15 % (2963416)Termination reason: Instruction limit
% 2.22/1.15 % (2963416)Termination phase: Saturation
% 2.22/1.15 % (2963416)Time elapsed: 0.080 s
% 2.22/1.15 % (2963416)Peak memory usage: 90 MB
% 2.22/1.15 % (2963416)Instructions burned: 130 (million)
% 2.22/1.15 % (2963413)Refutation found. Thanks to Tanya!
% 2.22/1.15 % SZS status ContradictoryAxioms for theBenchmark
% 2.22/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.57/1.34 % (2963413)------------------------------
% 2.57/1.34 % (2963413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.57/1.34 % (2963413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.57/1.34 % (2963413)CaDiCaL version: 2.1.3
% 2.57/1.34 % (2963413)Termination reason: Refutation
% 2.57/1.34 % (2963413)Time elapsed: 0.016 s
% 2.57/1.34 % (2963413)Peak memory usage: 90 MB
% 2.57/1.34 % (2963413)Instructions burned: 44 (million)
% 2.57/1.34 % (2963413)------------------------------
% 2.57/1.34 % (2963413)------------------------------
% 2.57/1.34 % (2963405)Success in time 0.278 s
% 2.57/1.34 % Vampire exiting
%------------------------------------------------------------------------------