%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM524+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 12:24:40 PM UTC 2026
% Result : Theorem 25.38s 4.12s
% Output : Refutation 25.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 86 ( 29 unt; 1 def)
% Number of atoms : 267 ( 101 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 306 ( 125 ~; 128 |; 34 &)
% ( 7 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 97 ( 0 sgn 90 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
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/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 != sz00
=> ! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2)
| sdtasdt0(X1,X0) = sdtasdt0(X2,X0) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f36,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( aNaturalNumber0(X2)
=> sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDivAsso) ).
fof(f40,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp)
& xn != sz00
& xm != sz00
& xp != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).
fof(f42,axiom,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3014) ).
fof(f44,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xn) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(xn,xn))
& ? [X0] :
( aNaturalNumber0(X0)
& xn = sdtasdt0(xp,X0) )
& doDivides0(xp,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3046) ).
fof(f45,axiom,
( aNaturalNumber0(xq)
& xn = sdtasdt0(xp,xq)
& xq = sdtsldt0(xn,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3059) ).
fof(f46,conjecture,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f47,negated_conjecture,
sdtasdt0(xm,xm) != sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f48,plain,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xn) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(xn,xn))
& ? [X1] :
( aNaturalNumber0(X1)
& xn = sdtasdt0(xp,X1) )
& doDivides0(xp,xn) ),
inference(rectify,[],[f44]) ).
fof(f49,plain,
sdtasdt0(xm,xm) != sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(flattening,[],[f47]) ).
fof(f53,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f54,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f53]) ).
fof(f62,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(f63,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f62]) ).
fof(f70,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f71,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f70]) ).
fof(f99,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f100,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f99]) ).
fof(f101,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(f102,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,[],[f101]) ).
fof(f111,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f36]) ).
fof(f112,plain,
! [X0,X1] :
( ! [X2] :
( sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f111]) ).
fof(f127,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f143,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f71]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f174,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtsldt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f102]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| sdtasdt0(X2,sdtsldt0(X1,X0)) = sdtsldt0(sdtasdt0(X2,X1),X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f191,plain,
sz00 != xp,
inference(cnf_transformation,[],[f40]) ).
fof(f194,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f40]) ).
fof(f195,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f40]) ).
fof(f196,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f40]) ).
fof(f204,plain,
sdtasdt0(xp,sdtasdt0(xm,xm)) = sdtasdt0(xn,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f209,plain,
sdtasdt0(xn,xn) = sdtasdt0(xp,sK7),
inference(cnf_transformation,[],[f48]) ).
fof(f210,plain,
aNaturalNumber0(sK7),
inference(cnf_transformation,[],[f48]) ).
fof(f213,plain,
doDivides0(xp,xn),
inference(cnf_transformation,[],[f48]) ).
fof(f215,plain,
xq = sdtsldt0(xn,xp),
inference(cnf_transformation,[],[f45]) ).
fof(f216,plain,
xn = sdtasdt0(xp,xq),
inference(cnf_transformation,[],[f45]) ).
fof(f217,plain,
aNaturalNumber0(xq),
inference(cnf_transformation,[],[f45]) ).
fof(f218,plain,
sdtasdt0(xm,xm) != sdtasdt0(xp,sdtasdt0(xq,xq)),
inference(cnf_transformation,[],[f49]) ).
fof(f224,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f171]) ).
fof(f225,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(X2)
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2 ),
inference(equality_resolution,[],[f174]) ).
fof(f531,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f224,f127]) ).
fof(f1049,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X1,xq),X0) = sdtasdt0(X1,sdtasdt0(xq,X0)) ),
inference(resolution,[],[f133,f217]) ).
fof(f1498,plain,
! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(xp,X0)
| sz00 = xp
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| sK7 = X0 ),
inference(superposition,[],[f143,f209]) ).
fof(f1507,plain,
! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(sK7)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| sK7 = X0 ),
inference(forward_subsumption_resolution,[],[f1498,f191]) ).
fof(f1539,plain,
! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| sK7 = X0 ),
inference(forward_subsumption_resolution,[],[f1507,f210]) ).
fof(f1568,plain,
! [X0] :
( sdtasdt0(xn,xn) != sdtasdt0(xp,X0)
| ~ aNaturalNumber0(X0)
| sK7 = X0 ),
inference(forward_subsumption_resolution,[],[f1539,f194]) ).
fof(f2294,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| sz00 = xp
| ~ aNaturalNumber0(xn)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp) ),
inference(resolution,[],[f179,f213]) ).
fof(f2320,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = xp
| ~ aNaturalNumber0(xn)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp) ),
inference(forward_subsumption_resolution,[],[f2294,f194]) ).
fof(f2338,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp) ),
inference(forward_subsumption_resolution,[],[f2320,f191]) ).
fof(f2351,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sdtsldt0(xn,xp)) = sdtsldt0(sdtasdt0(X0,xn),xp) ),
inference(forward_subsumption_resolution,[],[f2338,f196]) ).
fof(f2362,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xq) = sdtsldt0(sdtasdt0(X0,xn),xp) ),
inference(forward_demodulation,[],[f2351,f215]) ).
fof(f2374,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(X2)
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2 ),
inference(forward_subsumption_resolution,[],[f225,f127]) ).
fof(f2375,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2 ),
inference(forward_subsumption_resolution,[],[f2374,f531]) ).
fof(f2411,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = xp
| sdtsldt0(sdtasdt0(xp,X0),xp) = X0 ),
inference(resolution,[],[f2375,f194]) ).
fof(f2420,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(xp,X0),xp) = X0 ),
inference(forward_subsumption_resolution,[],[f2411,f191]) ).
fof(f3683,plain,
sK7 = sdtsldt0(sdtasdt0(xp,sK7),xp),
inference(resolution,[],[f2420,f210]) ).
fof(f3684,plain,
sK7 = sdtsldt0(sdtasdt0(xn,xn),xp),
inference(forward_demodulation,[],[f3683,f209]) ).
fof(f4176,plain,
sdtsldt0(sdtasdt0(xn,xn),xp) = sdtasdt0(xn,xq),
inference(resolution,[],[f2362,f196]) ).
fof(f13659,definition,
( spl8_24
<=> aNaturalNumber0(sdtasdt0(xm,xm)) ),
introduced(definition,[new_symbols(definition,[spl8_24])],[avatar_definition]) ).
fof(f13660,plain,
( aNaturalNumber0(sdtasdt0(xm,xm))
| ~ spl8_24 ),
inference(avatar_component_clause,[],[f13659]) ).
fof(f13661,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| spl8_24 ),
inference(avatar_component_clause,[],[f13659]) ).
fof(f13666,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xm)
| spl8_24 ),
inference(resolution,[],[f13661,f127]) ).
fof(f13667,plain,
( ~ aNaturalNumber0(xm)
| spl8_24 ),
inference(duplicate_literal_removal,[],[f13666]) ).
fof(f13668,plain,
( $false
| spl8_24 ),
inference(forward_subsumption_resolution,[],[f13667,f195]) ).
fof(f13669,plain,
spl8_24,
inference(avatar_contradiction_clause,[],[f13668]) ).
fof(f14201,plain,
( sdtasdt0(xn,xn) != sdtasdt0(xn,xn)
| ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sdtasdt0(xm,xm) = sK7 ),
inference(superposition,[],[f1568,f204]) ).
fof(f14209,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,xm))
| sdtasdt0(xm,xm) = sK7 ),
inference(trivial_inequality_removal,[],[f14201]) ).
fof(f14212,plain,
( sdtasdt0(xm,xm) = sK7
| ~ spl8_24 ),
inference(forward_subsumption_resolution,[],[f14209,f13660]) ).
fof(f15306,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(xp,xq),X0) = sdtasdt0(xp,sdtasdt0(xq,X0)) ),
inference(resolution,[],[f1049,f194]) ).
fof(f15345,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xn,X0) = sdtasdt0(xp,sdtasdt0(xq,X0)) ),
inference(forward_demodulation,[],[f15306,f216]) ).
fof(f56556,plain,
sK7 = sdtasdt0(xn,xq),
inference(forward_demodulation,[],[f4176,f3684]) ).
fof(f71350,plain,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sdtasdt0(xn,xq),
inference(resolution,[],[f15345,f217]) ).
fof(f71363,plain,
sdtasdt0(xp,sdtasdt0(xq,xq)) = sK7,
inference(forward_demodulation,[],[f71350,f56556]) ).
fof(f77441,plain,
sdtasdt0(xm,xm) != sK7,
inference(superposition,[],[f218,f71363]) ).
fof(f77597,plain,
( $false
| ~ spl8_24 ),
inference(forward_subsumption_resolution,[],[f77441,f14212]) ).
fof(f77598,plain,
~ spl8_24,
inference(avatar_contradiction_clause,[],[f77597]) ).
cnf(s21,plain,
spl8_24,
inference(sat_conversion,[],[f13669]) ).
cnf(s80,plain,
~ spl8_24,
inference(sat_conversion,[],[f77598]) ).
cnf(s82,plain,
$false,
inference(rat,[],[s21,s80]) ).
fof(f77825,plain,
$false,
inference(avatar_sat_refutation,[],[s82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM524+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 % Computer : n010.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 20:20:47 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.43 Running first-order model finding
% 0.14/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.41/3.04 % (1283815)Will run a generic schedule for satisfiability detection.
% 17.41/3.04 % (1283832)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2195842498:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 17.41/3.04 % (1283828)% WARNING: option uhcvi not known.
% 17.41/3.04 % (1283827)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1808618053_2999 on theBenchmark for (2999ds/0Mi)
% 17.41/3.04 % (1283828)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3632612124:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 17.41/3.04 % (1283833)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2915350880:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 17.41/3.04 % (1283829)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=305864699:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 17.41/3.04 % (1283831)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=508092798:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 17.41/3.04 % (1283830)dis+10_1_sil=32000:sp=arity:random_seed=4051870786:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 17.41/3.04 % Detected minimum model sizes of [3]
% 17.41/3.04 % Detected maximum model sizes of [max]
% 17.41/3.04 % TRYING [3]
% 17.41/3.04 % TRYING [4]
% 17.41/3.04 % (1283832)Instruction limit reached!
% 17.41/3.04 % (1283832)------------------------------
% 17.41/3.04 % (1283832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.41/3.04 % (1283832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.41/3.04 % (1283832)CaDiCaL version: 2.1.3
% 17.41/3.04 % (1283832)Termination reason: Instruction limit
% 17.41/3.04 % (1283832)Termination phase: Saturation
% 17.41/3.04 % (1283832)Time elapsed: 0.038 s
% 17.41/3.04 % (1283832)Peak memory usage: 12 MB
% 17.41/3.04 % (1283832)Instructions burned: 134 (million)
% 17.41/3.04 % (1283853)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2175015801:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 17.41/3.04 % Detected minimum model sizes of [3]
% 17.41/3.04 % Detected maximum model sizes of [max]
% 17.41/3.04 % TRYING [3]
% 17.41/3.04 % TRYING [5]
% 17.41/3.04 % TRYING [4]
% 17.41/3.04 % (1283830)Instruction limit reached!
% 17.41/3.04 % (1283830)------------------------------
% 17.41/3.04 % (1283830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.41/3.04 % (1283830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.41/3.04 % (1283830)CaDiCaL version: 2.1.3
% 17.41/3.04 % (1283830)Termination reason: Instruction limit
% 17.41/3.04 % (1283830)Termination phase: Saturation
% 17.41/3.04 % (1283830)Time elapsed: 0.061 s
% 17.41/3.04 % (1283830)Peak memory usage: 12 MB
% 17.41/3.04 % (1283830)Instructions burned: 104 (million)
% 17.41/3.04 % (1283831)Instruction limit reached!
% 17.41/3.04 % (1283831)------------------------------
% 17.41/3.04 % (1283831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.41/3.04 % (1283831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.41/3.04 % (1283831)CaDiCaL version: 2.1.3
% 17.41/3.04 % (1283831)Termination reason: Instruction limit
% 17.41/3.04 % (1283831)Termination phase: Saturation
% 17.41/3.04 % (1283831)Time elapsed: 0.064 s
% 17.41/3.04 % (1283831)Peak memory usage: 13 MB
% 17.41/3.04 % (1283831)Instructions burned: 116 (million)
% 17.41/3.04 % TRYING [5]
% 17.41/3.04 % (1283863)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=837067718:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 17.41/3.04 % (1283865)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3576035214:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 17.41/3.04 % (1283833)Instruction limit reached!
% 17.41/3.04 % (1283833)------------------------------
% 17.41/3.04 % (1283833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.41/3.04 % (1283833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.41/3.04 % (1283833)CaDiCaL version: 2.1.3
% 17.41/3.04 % (1283833)Termination reason: Instruction limit
% 17.41/3.04 % (1283833)Termination phase: Saturation
% 17.41/3.04 % (1283833)Time elapsed: 0.095 s
% 17.41/3.04 % (1283833)Peak memory usage: 14 MB
% 17.41/3.04 % (1283833)Instructions burned: 160 (million)
% 17.41/3.04 % TRYING [6]
% 17.41/3.04 % (1283875)ott-21_1_sil=16000:fs=off:random_seed=1077297165:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 17.41/3.04 % TRYING [6]
% 17.41/3.04 % (1283863)Instruction limit reached!
% 25.38/4.12 % (1283863)------------------------------
% 25.38/4.12 % (1283863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.38/4.12 % (1283863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.38/4.12 % (1283863)CaDiCaL version: 2.1.3
% 25.38/4.12 % (1283863)Termination reason: Instruction limit
% 25.38/4.12 % (1283863)Termination phase: Saturation
% 25.38/4.12 % (1283863)Time elapsed: 0.066 s
% 25.38/4.12 % (1283863)Peak memory usage: 12 MB
% 25.38/4.12 % (1283863)Instructions burned: 131 (million)
% 25.38/4.12 % (1283890)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2291338309:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 25.38/4.12 % (1283853)Instruction limit reached!
% 25.38/4.12 % (1283853)------------------------------
% 25.38/4.12 % (1283853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.38/4.12 % (1283853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.38/4.12 % (1283853)CaDiCaL version: 2.1.3
% 25.38/4.12 % (1283853)Termination reason: Instruction limit
% 25.38/4.12 % (1283853)Termination phase: Finite model building constraint generation
% 25.38/4.12 % (1283853)Time elapsed: 0.137 s
% 25.38/4.12 % (1283853)Peak memory usage: 34 MB
% 25.38/4.12 % (1283853)Instructions burned: 717 (million)
% 25.38/4.12 % (1283903)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3189038000:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 25.38/4.12 % Detected minimum model sizes of [3]
% 25.38/4.12 % Detected maximum model sizes of [max]
% 25.38/4.12 % TRYING [3]
% 25.38/4.12 % (1283875)Instruction limit reached!
% 25.38/4.12 % (1283875)------------------------------
% 25.38/4.12 % (1283875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.38/4.12 % (1283875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.38/4.12 % (1283875)CaDiCaL version: 2.1.3
% 25.38/4.12 % (1283875)Termination reason: Instruction limit
% 25.38/4.12 % (1283875)Termination phase: Saturation
% 25.38/4.12 % (1283875)Time elapsed: 0.094 s
% 25.38/4.12 % (1283875)Peak memory usage: 13 MB
% 25.38/4.12 % (1283875)Instructions burned: 182 (million)
% 25.38/4.12 % TRYING [4]
% 25.38/4.12 % (1283913)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1134858740:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 25.38/4.12 % TRYING [5]
% 25.38/4.12 % TRYING [7]
% 25.38/4.12 % TRYING [6]
% 25.38/4.12 % (1283903)Instruction limit reached!
% 25.38/4.12 % (1283903)------------------------------
% 25.38/4.12 % (1283903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.38/4.12 % (1283903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.38/4.12 % (1283903)CaDiCaL version: 2.1.3
% 25.38/4.12 % (1283903)Termination reason: Instruction limit
% 25.38/4.12 % (1283903)Termination phase: Finite model building constraint generation
% 25.38/4.12 % (1283903)Time elapsed: 0.201 s
% 25.38/4.12 % (1283903)Peak memory usage: 22 MB
% 25.38/4.12 % (1283903)Instructions burned: 870 (million)
% 25.38/4.12 % (1283947)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=167700676:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 25.38/4.12 % (1283865)Instruction limit reached!
% 25.38/4.12 % (1283865)------------------------------
% 25.38/4.12 % (1283865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.38/4.12 % (1283865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.38/4.12 % (1283865)CaDiCaL version: 2.1.3
% 25.38/4.12 % (1283865)Termination reason: Instruction limit
% 25.38/4.12 % (1283865)Termination phase: Saturation
% 25.38/4.12 % (1283865)Time elapsed: 0.353 s
% 25.38/4.12 % (1283865)Peak memory usage: 17 MB
% 25.38/4.12 % (1283865)Instructions burned: 685 (million)
% 25.38/4.12 % (1283949)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2172667075:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 25.38/4.12 % (1283890)Instruction limit reached!
% 25.38/4.12 % (1283890)------------------------------
% 25.38/4.12 % (1283890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.38/4.12 % (1283890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.38/4.12 % (1283890)CaDiCaL version: 2.1.3
% 25.38/4.12 % (1283890)Termination reason: Instruction limit
% 25.38/4.12 % (1283890)Termination phase: Saturation
% 25.38/4.12 % (1283890)Time elapsed: 0.316 s
% 25.38/4.12 % (1283890)Peak memory usage: 15 MB
% 25.38/4.12 % (1283890)Instructions burned: 477 (million)
% 25.38/4.12 % TRYING [14]
% 25.38/4.12 % (1283951)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=514847232:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 25.38/4.12 % (1283947)Instruction limit reached!
% 25.38/4.12 % (1283947)------------------------------
% 25.38/4.12 % (1283947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.38/4.12 % (1283947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.38/4.12 % (1283947)CaDiCaL version: 2.1.3
% 25.38/4.12 % (1283947)Termination reason: Instruction limit
% 25.38/4.12 % (1283947)Termination phase: Finite model building constraint generation
% 25.38/4.12 % (1283947)Time elapsed: 0.186 s
% 25.38/4.12 % (1283947)Peak memory usage: 80 MB
% 25.38/4.12 % (1283947)Instructions burned: 892 (million)
% 25.38/4.12 % (1283957)fmb+10_1_sil=64000:random_seed=1053754645:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 25.38/4.12 % Detected minimum model sizes of [3]
% 25.38/4.12 % Detected maximum model sizes of [max]
% 25.38/4.12 % TRYING [3]
% 25.38/4.12 % TRYING [4]
% 25.38/4.12 % TRYING [5]
% 25.38/4.12 % TRYING [8]
% 25.38/4.12 % TRYING [6]
% 25.38/4.12 % (1283949)Instruction limit reached!
% 25.38/4.12 % (1283949)------------------------------
% 25.38/4.12 % (1283949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.38/4.12 % (1283949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.38/4.12 % (1283949)CaDiCaL version: 2.1.3
% 25.38/4.12 % (1283949)Termination reason: Instruction limit
% 25.38/4.12 % (1283949)Termination phase: Saturation
% 25.38/4.12 % (1283949)Time elapsed: 0.404 s
% 25.38/4.12 % (1283949)Peak memory usage: 19 MB
% 25.38/4.12 % (1283949)Instructions burned: 694 (million)
% 25.38/4.12 % (1283968)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1911704385:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 25.38/4.12 % Detected minimum model sizes of [3]
% 25.38/4.12 % Detected maximum model sizes of [max]
% 25.38/4.12 % TRYING [20]
% 25.38/4.12 % (1283913)Instruction limit reached!
% 25.38/4.12 % (1283913)------------------------------
% 25.38/4.12 % (1283913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.38/4.12 % (1283913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.38/4.12 % (1283913)CaDiCaL version: 2.1.3
% 25.38/4.12 % (1283913)Termination reason: Instruction limit
% 25.38/4.12 % (1283913)Termination phase: Saturation
% 25.38/4.12 % (1283913)Time elapsed: 0.661 s
% 25.38/4.12 % (1283913)Peak memory usage: 24 MB
% 25.38/4.12 % (1283913)Instructions burned: 1180 (million)
% 25.38/4.12 % (1283970)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3622227180:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 25.38/4.12 % Detected minimum model sizes of [3]
% 25.38/4.12 % Detected maximum model sizes of [max]
% 25.38/4.12 % TRYING [8]
% 25.38/4.12 % (1283951)Instruction limit reached!
% 25.38/4.12 % (1283951)------------------------------
% 25.38/4.12 % (1283951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.38/4.12 % (1283951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.38/4.12 % (1283951)CaDiCaL version: 2.1.3
% 25.38/4.12 % (1283951)Termination reason: Instruction limit
% 25.38/4.12 % (1283951)Termination phase: Saturation
% 25.38/4.12 % (1283951)Time elapsed: 0.490 s
% 25.38/4.12 % (1283951)Peak memory usage: 20 MB
% 25.38/4.12 % (1283951)Instructions burned: 879 (million)
% 25.38/4.12 % (1283972)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4251888592:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 25.38/4.12 % TRYING [7]
% 25.38/4.12 % (1283970)Instruction limit reached!
% 25.38/4.12 % (1283970)------------------------------
% 25.38/4.12 % (1283970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.38/4.12 % (1283970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.38/4.12 % (1283970)CaDiCaL version: 2.1.3
% 25.38/4.12 % (1283970)Termination reason: Instruction limit
% 25.38/4.12 % (1283970)Termination phase: Finite model building constraint generation
% 25.38/4.12 % (1283970)Time elapsed: 0.385 s
% 25.38/4.12 % (1283970)Peak memory usage: 66 MB
% 25.38/4.12 % (1283970)Instructions burned: 920 (million)
% 25.38/4.12 % (1283982)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1181067759:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 25.38/4.12 % TRYING [9]
% 25.38/4.12 % TRYING [8]
% 25.38/4.12 % (1283982)Instruction limit reached!
% 25.38/4.12 % (1283982)------------------------------
% 25.38/4.12 % (1283982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.38/4.12 % (1283982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.38/4.12 % (1283982)CaDiCaL version: 2.1.3
% 25.38/4.12 % (1283982)Termination reason: Instruction limit
% 25.38/4.12 % (1283982)Termination phase: Saturation
% 25.38/4.12 % (1283982)Time elapsed: 1.189 s
% 25.38/4.12 % (1283982)Peak memory usage: 34 MB
% 25.38/4.12 % (1283982)Instructions burned: 1474 (million)
% 25.38/4.12 % (1284009)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1043201497:i=6324_2974 on theBenchmark for (2974ds/6324Mi)
% 25.38/4.12 % Detected minimum model sizes of [3]
% 25.38/4.12 % Detected maximum model sizes of [max]
% 25.38/4.12 % TRYING [77]
% 25.38/4.12 % (1283972) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1283815-1283972"...
% 25.38/4.12 % (1283972)...printing done.
% 25.38/4.12 % (1283972)Refutation found. Thanks to Tanya!
% 25.38/4.12 % SZS status Theorem for theBenchmark
% 25.38/4.12 % SZS output start Proof for theBenchmark
% See solution above
% 25.38/4.12 % (1283972)------------------------------
% 25.38/4.12 % (1283972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.38/4.12 % (1283972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.38/4.12 % (1283972)CaDiCaL version: 2.1.3
% 25.38/4.12 % (1283972)Termination reason: Refutation
% 25.38/4.12 % (1283972)Time elapsed: 2.543 s
% 25.38/4.12 % (1283972)Peak memory usage: 36 MB
% 25.38/4.12 % (1283972)Instructions burned: 3950 (million)
% 25.38/4.12 % (1283815)Success in time 3.676 s
% 25.38/4.12 % Vampire exiting
%------------------------------------------------------------------------------