%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n007.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 12:24:34 PM UTC 2026
% Result : ContradictoryAxioms 0.15s 0.53s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 107 ( 33 unt; 6 def)
% Number of atoms : 270 ( 48 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 264 ( 101 ~; 122 |; 21 &)
% ( 12 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn 65 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
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(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(f42,axiom,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1870) ).
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(f55,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f56,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f58,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f57]) ).
fof(f63,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f80,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f81,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f80]) ).
fof(f85,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f86,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f85]) ).
fof(f105,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(f106,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,[],[f105]) ).
fof(f125,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f128,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f129,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f132,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f63]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f156,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f86]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f106]) ).
fof(f192,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f193,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f194,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f196,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f198,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f204,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f215,plain,
sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)),
inference(cnf_transformation,[],[f51]) ).
fof(f217,plain,
sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
inference(cnf_transformation,[],[f51]) ).
fof(f218,plain,
sdtasdt0(xn,xm) != sdtasdt0(xp,xm),
inference(cnf_transformation,[],[f51]) ).
fof(f219,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f151]) ).
fof(f227,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f174]) ).
fof(f230,plain,
~ aNaturalNumber0(sz00),
inference(consistent_polarity_flipping,[],[f125]) ).
fof(f232,plain,
! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| aNaturalNumber0(X0)
| aNaturalNumber0(X1) ),
inference(consistent_polarity_flipping,[],[f128]) ).
fof(f233,plain,
! [X0,X1] :
( ~ aNaturalNumber0(sdtasdt0(X0,X1))
| aNaturalNumber0(X0)
| aNaturalNumber0(X1) ),
inference(consistent_polarity_flipping,[],[f129]) ).
fof(f237,plain,
! [X0] :
( aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(consistent_polarity_flipping,[],[f132]) ).
fof(f253,plain,
! [X2,X0] :
( aNaturalNumber0(sdtpldt0(X0,X2))
| aNaturalNumber0(X0)
| aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(consistent_polarity_flipping,[],[f219]) ).
fof(f260,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| aNaturalNumber0(X1)
| aNaturalNumber0(X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f156]) ).
fof(f280,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| aNaturalNumber0(X0)
| aNaturalNumber0(X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1 ),
inference(consistent_polarity_flipping,[],[f227]) ).
fof(f296,plain,
~ aNaturalNumber0(xn),
inference(consistent_polarity_flipping,[],[f194]) ).
fof(f297,plain,
~ aNaturalNumber0(xm),
inference(consistent_polarity_flipping,[],[f193]) ).
fof(f298,plain,
~ aNaturalNumber0(xp),
inference(consistent_polarity_flipping,[],[f192]) ).
fof(f301,plain,
sdtlseqdt0(xp,xn),
inference(consistent_polarity_flipping,[],[f198]) ).
fof(f309,plain,
~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
inference(consistent_polarity_flipping,[],[f217]) ).
fof(f310,plain,
~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)),
inference(consistent_polarity_flipping,[],[f215]) ).
fof(f326,definition,
( spl4_4
<=> aNaturalNumber0(sz00) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f327,plain,
( ~ aNaturalNumber0(sz00)
| spl4_4 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f331,plain,
~ spl4_4,
inference(avatar_split_clause,[],[f230,f326]) ).
fof(f340,plain,
xn = sdtpldt0(sz00,xn),
inference(resolution,[],[f237,f296]) ).
fof(f453,definition,
( spl4_5
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f455,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f522,definition,
( spl4_10
<=> sz00 = xp ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f524,plain,
( sz00 = xp
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f566,plain,
! [X2,X0] :
( ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| aNaturalNumber0(X2)
| aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f253,f232]) ).
fof(f571,plain,
( ~ sdtlseqdt0(sz00,xn)
| aNaturalNumber0(xn)
| aNaturalNumber0(sz00) ),
inference(superposition,[],[f566,f340]) ).
fof(f578,plain,
( ~ sdtlseqdt0(sz00,xn)
| aNaturalNumber0(sz00) ),
inference(forward_subsumption_resolution,[],[f571,f296]) ).
fof(f582,plain,
( ~ sdtlseqdt0(sz00,xn)
| spl4_4 ),
inference(forward_subsumption_resolution,[],[f578,f327]) ).
fof(f585,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| aNaturalNumber0(sdtasdt0(xn,xm))
| aNaturalNumber0(sdtasdt0(xp,xm))
| sdtasdt0(xn,xm) = sdtasdt0(xp,xm) ),
inference(resolution,[],[f260,f309]) ).
fof(f605,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| aNaturalNumber0(sdtasdt0(xn,xm))
| aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(forward_subsumption_resolution,[],[f585,f218]) ).
fof(f617,definition,
( spl4_20
<=> aNaturalNumber0(sdtasdt0(xp,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_20])],[avatar_definition]) ).
fof(f619,plain,
( aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f621,definition,
( spl4_21
<=> sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_21])],[avatar_definition]) ).
fof(f623,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f626,plain,
( spl4_20
| spl4_5
| spl4_21 ),
inference(avatar_split_clause,[],[f605,f621,f453,f617]) ).
fof(f1160,plain,
( aNaturalNumber0(xp)
| aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp
| sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)) ),
inference(resolution,[],[f280,f196]) ).
fof(f1168,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp
| sdtasdt0(xn,xm) = sdtasdt0(xp,sdtsldt0(sdtasdt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[],[f1160,f298]) ).
fof(f1179,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp ),
inference(forward_demodulation,[],[f1168,f204]) ).
fof(f1185,definition,
( spl4_40
<=> sdtasdt0(xn,xm) = sdtasdt0(xp,xk) ),
introduced(definition,[new_symbols(definition,[spl4_40])],[avatar_definition]) ).
fof(f1187,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
| ~ spl4_40 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f1188,plain,
( spl4_10
| spl4_5
| spl4_40 ),
inference(avatar_split_clause,[],[f1179,f1185,f453,f522]) ).
fof(f1519,plain,
( sdtlseqdt0(sz00,xn)
| ~ spl4_10 ),
inference(superposition,[],[f301,f524]) ).
fof(f1537,plain,
( $false
| spl4_4
| ~ spl4_10 ),
inference(forward_subsumption_resolution,[],[f1519,f582]) ).
fof(f1538,plain,
( spl4_4
| ~ spl4_10 ),
inference(avatar_contradiction_clause,[],[f1537]) ).
fof(f2306,plain,
( aNaturalNumber0(xn)
| aNaturalNumber0(xm)
| ~ spl4_5 ),
inference(resolution,[],[f455,f233]) ).
fof(f2307,plain,
( aNaturalNumber0(xm)
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f2306,f296]) ).
fof(f2308,plain,
( $false
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f2307,f297]) ).
fof(f2309,plain,
~ spl4_5,
inference(avatar_contradiction_clause,[],[f2308]) ).
fof(f2344,plain,
( aNaturalNumber0(xp)
| aNaturalNumber0(xm)
| ~ spl4_20 ),
inference(resolution,[],[f619,f233]) ).
fof(f2345,plain,
( aNaturalNumber0(xm)
| ~ spl4_20 ),
inference(forward_subsumption_resolution,[],[f2344,f298]) ).
fof(f2346,plain,
( $false
| ~ spl4_20 ),
inference(forward_subsumption_resolution,[],[f2345,f297]) ).
fof(f2347,plain,
~ spl4_20,
inference(avatar_contradiction_clause,[],[f2346]) ).
fof(f3689,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ spl4_21
| ~ spl4_40 ),
inference(superposition,[],[f623,f1187]) ).
fof(f3715,plain,
( $false
| ~ spl4_21
| ~ spl4_40 ),
inference(forward_subsumption_resolution,[],[f3689,f310]) ).
fof(f3716,plain,
( ~ spl4_21
| ~ spl4_40 ),
inference(avatar_contradiction_clause,[],[f3715]) ).
cnf(s4,plain,
~ spl4_4,
inference(sat_conversion,[],[f331]) ).
cnf(s15,plain,
( spl4_5
| spl4_20
| spl4_21 ),
inference(sat_conversion,[],[f626]) ).
cnf(s31,plain,
( spl4_5
| spl4_10
| spl4_40 ),
inference(sat_conversion,[],[f1188]) ).
cnf(s53,plain,
( spl4_4
| ~ spl4_10 ),
inference(sat_conversion,[],[f1538]) ).
cnf(s102,plain,
~ spl4_5,
inference(sat_conversion,[],[f2309]) ).
cnf(s104,plain,
~ spl4_20,
inference(sat_conversion,[],[f2347]) ).
cnf(s176,plain,
( ~ spl4_21
| ~ spl4_40 ),
inference(sat_conversion,[],[f3716]) ).
cnf(s184,plain,
( spl4_10
| spl4_40 ),
inference(rat,[],[s31,s102]) ).
cnf(s198,plain,
spl4_21,
inference(rat,[],[s15,s104,s102]) ).
cnf(s199,plain,
~ spl4_40,
inference(rat,[],[s176,s198]) ).
cnf(s200,plain,
spl4_10,
inference(rat,[],[s184,s199]) ).
cnf(s202,plain,
spl4_4,
inference(rat,[],[s53,s200]) ).
cnf(s205,plain,
$false,
inference(rat,[],[s4,s202]) ).
fof(f3740,plain,
$false,
inference(avatar_sat_refutation,[],[s205]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM504+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n007.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 20:11:56 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.53 % (1752109)Will run a generic schedule for satisfiability detection.
% 0.15/0.53 % (1752116)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=442182827:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.53 % (1752115)% WARNING: option uhcvi not known.
% 0.15/0.53 % (1752114)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=818232718_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.53 % (1752115)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1738967809:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.53 % (1752118)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=865757624:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.53 % (1752117)dis+10_1_sil=32000:sp=arity:random_seed=337986738:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.53 % (1752119)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=48205673:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.53 % (1752120)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3269539517:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.53 % Detected minimum model sizes of [3]
% 0.15/0.53 % Detected maximum model sizes of [max]
% 0.15/0.53 % TRYING [3]
% 0.15/0.53 % TRYING [4]
% 0.15/0.53 % TRYING [5]
% 0.15/0.53 % (1752117)Instruction limit reached!
% 0.15/0.53 % (1752117)------------------------------
% 0.15/0.53 % (1752117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.53 % (1752117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.53 % (1752117)CaDiCaL version: 2.1.3
% 0.15/0.53 % (1752117)Termination reason: Instruction limit
% 0.15/0.53 % (1752117)Termination phase: Saturation
% 0.15/0.53 % (1752117)Time elapsed: 0.060 s
% 0.15/0.53 % (1752117)Peak memory usage: 12 MB
% 0.15/0.53 % (1752117)Instructions burned: 104 (million)
% 0.15/0.53 % (1752118)Instruction limit reached!
% 0.15/0.53 % (1752118)------------------------------
% 0.15/0.53 % (1752118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.53 % (1752118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.53 % (1752118)CaDiCaL version: 2.1.3
% 0.15/0.53 % (1752118)Termination reason: Instruction limit
% 0.15/0.53 % (1752118)Termination phase: Saturation
% 0.15/0.53 % (1752118)Time elapsed: 0.065 s
% 0.15/0.53 % (1752118)Peak memory usage: 13 MB
% 0.15/0.53 % (1752118)Instructions burned: 117 (million)
% 0.15/0.53 % (1752115) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1752109-1752115"...
% 0.15/0.53 % (1752115)...printing done.
% 0.15/0.53 % (1752115)Refutation found. Thanks to Tanya!
% 0.15/0.53 % SZS status ContradictoryAxioms for theBenchmark
% 0.15/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.53 % (1752115)------------------------------
% 0.15/0.53 % (1752115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.53 % (1752115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.53 % (1752115)CaDiCaL version: 2.1.3
% 0.15/0.53 % (1752115)Termination reason: Refutation
% 0.15/0.53 % (1752115)Time elapsed: 0.069 s
% 0.15/0.53 % (1752115)Peak memory usage: 14 MB
% 0.15/0.53 % (1752115)Instructions burned: 118 (million)
% 0.15/0.53 % (1752109)Success in time 0.111 s
% 0.15/0.53 % Vampire exiting
%------------------------------------------------------------------------------