%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM534+1 : 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 : n019.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 12:24:42 PM UTC 2026
% Result : Theorem 0.16s 0.51s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 91 ( 17 unt; 4 def)
% Number of atoms : 329 ( 60 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 408 ( 170 ~; 201 |; 17 &)
% ( 16 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 93 ( 0 sgn 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f15,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElement0(X1) )
=> ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefCons) ).
fof(f16,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElement0(X1) )
=> ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f17,axiom,
aSet0(xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__617) ).
fof(f18,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__617_02) ).
fof(f19,conjecture,
sdtpldt0(sdtmndt0(xS,xx),xx) = xS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f20,negated_conjecture,
sdtpldt0(sdtmndt0(xS,xx),xx) != xS,
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f21,plain,
xS != sdtpldt0(sdtmndt0(xS,xx),xx),
inference(flattening,[],[f20]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f39,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f40,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtpldt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& ( aElementOf0(X3,X0)
| X3 = X1 ) ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f42,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aElement0(X3)
& aElementOf0(X3,X0)
& X3 != X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| sK2(X0,X1,X2) = X1
| aElementOf0(sK2(X0,X1,X2),X0)
| aElementOf0(sK2(X0,X1,X2),X2)
| ~ aSet0(X2)
| sdtpldt0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f40]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| sK2(X0,X1,X2) != X1
| ~ aElement0(sK2(X0,X1,X2))
| ~ aElementOf0(sK2(X0,X1,X2),X2)
| ~ aSet0(X2)
| sdtpldt0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f40]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(sK2(X0,X1,X2),X0)
| ~ aElement0(sK2(X0,X1,X2))
| ~ aElementOf0(sK2(X0,X1,X2),X2)
| ~ aSet0(X2)
| sdtpldt0(X0,X1) = X2 ),
inference(cnf_transformation,[],[f40]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| aElementOf0(X3,X0)
| ~ aElementOf0(X3,X2)
| sdtmndt0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f42]) ).
fof(f68,plain,
! [X2,X3,X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| aElementOf0(X3,X2)
| sdtmndt0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f42]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| aSet0(X2)
| sdtmndt0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f42]) ).
fof(f74,plain,
aSet0(xS),
inference(cnf_transformation,[],[f17]) ).
fof(f75,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f18]) ).
fof(f76,plain,
xS != sdtpldt0(sdtmndt0(xS,xx),xx),
inference(cnf_transformation,[],[f21]) ).
fof(f85,plain,
! [X0,X1] :
( aSet0(sdtmndt0(X0,X1))
| ~ aSet0(X0)
| ~ aElement0(X1) ),
inference(equality_resolution,[],[f73]) ).
fof(f86,plain,
! [X3,X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| X1 = X3
| ~ aElementOf0(X3,X0)
| ~ aElement0(X3)
| aElementOf0(X3,sdtmndt0(X0,X1)) ),
inference(equality_resolution,[],[f68]) ).
fof(f88,plain,
! [X3,X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| aElementOf0(X3,X0)
| ~ aElementOf0(X3,sdtmndt0(X0,X1)) ),
inference(equality_resolution,[],[f66]) ).
fof(f91,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| ~ aSet0(X0)
| aElement0(X1) ),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| aElementOf0(sK2(X0,X1,X2),X0)
| ~ aElement0(sK2(X0,X1,X2))
| aElementOf0(sK2(X0,X1,X2),X2)
| ~ aSet0(X2)
| sdtpldt0(X0,X1) = X2 ),
inference(consistent_polarity_flipping,[],[f58]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| sK2(X0,X1,X2) != X1
| ~ aElement0(sK2(X0,X1,X2))
| aElementOf0(sK2(X0,X1,X2),X2)
| ~ aSet0(X2)
| sdtpldt0(X0,X1) = X2 ),
inference(consistent_polarity_flipping,[],[f57]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| sK2(X0,X1,X2) = X1
| ~ aElementOf0(sK2(X0,X1,X2),X0)
| ~ aElementOf0(sK2(X0,X1,X2),X2)
| ~ aSet0(X2)
| sdtpldt0(X0,X1) = X2 ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f109,plain,
! [X3,X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| X1 = X3
| aElementOf0(X3,X0)
| ~ aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(X0,X1)) ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f111,plain,
! [X3,X0,X1] :
( aElementOf0(X3,sdtmndt0(X0,X1))
| ~ aSet0(X0)
| ~ aElementOf0(X3,X0)
| ~ aElement0(X1) ),
inference(consistent_polarity_flipping,[],[f88]) ).
fof(f113,plain,
~ aElementOf0(xx,xS),
inference(consistent_polarity_flipping,[],[f75]) ).
fof(f117,plain,
( ~ aSet0(xS)
| aElement0(xx) ),
inference(resolution,[],[f91,f113]) ).
fof(f118,plain,
aElement0(xx),
inference(forward_subsumption_resolution,[],[f117,f74]) ).
fof(f168,plain,
! [X3,X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| X1 = X3
| aElementOf0(X3,X0)
| ~ aElementOf0(X3,sdtmndt0(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f109,f91]) ).
fof(f169,plain,
! [X0,X1] :
( ~ aSet0(X0)
| xx = X1
| aElementOf0(X1,X0)
| ~ aElementOf0(X1,sdtmndt0(X0,xx)) ),
inference(resolution,[],[f168,f118]) ).
fof(f195,plain,
! [X2,X0,X1] :
( ~ aElement0(X1)
| ~ aSet0(X0)
| aElementOf0(sK2(X0,X1,X2),X0)
| aElementOf0(sK2(X0,X1,X2),X2)
| ~ aSet0(X2)
| sdtpldt0(X0,X1) = X2 ),
inference(forward_subsumption_resolution,[],[f102,f91]) ).
fof(f199,plain,
! [X0] :
( ~ aElementOf0(X0,sdtmndt0(xS,xx))
| aElementOf0(X0,xS)
| xx = X0 ),
inference(resolution,[],[f169,f74]) ).
fof(f200,plain,
! [X0,X1] :
( ~ aSet0(X1)
| aElementOf0(sK2(X0,xx,X1),X0)
| aElementOf0(sK2(X0,xx,X1),X1)
| ~ aSet0(X0)
| sdtpldt0(X0,xx) = X1 ),
inference(resolution,[],[f195,f118]) ).
fof(f209,definition,
( spl4_1
<=> aSet0(sdtmndt0(xS,xx)) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f210,plain,
( aSet0(sdtmndt0(xS,xx))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f211,plain,
( ~ aSet0(sdtmndt0(xS,xx))
| spl4_1 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f220,plain,
( ~ aSet0(xS)
| ~ aElement0(xx)
| spl4_1 ),
inference(resolution,[],[f211,f85]) ).
fof(f221,plain,
( ~ aElement0(xx)
| spl4_1 ),
inference(forward_subsumption_resolution,[],[f220,f74]) ).
fof(f222,plain,
( $false
| spl4_1 ),
inference(forward_subsumption_resolution,[],[f221,f118]) ).
fof(f223,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f222]) ).
fof(f224,plain,
! [X2,X0,X1] :
( sK2(X0,X1,X2) != X1
| ~ aSet0(X0)
| ~ aElement0(X1)
| aElementOf0(sK2(X0,X1,X2),X2)
| ~ aSet0(X2)
| sdtpldt0(X0,X1) = X2 ),
inference(forward_subsumption_resolution,[],[f103,f91]) ).
fof(f227,plain,
! [X0,X1] :
( ~ aSet0(X1)
| xx = sK2(X0,xx,X1)
| ~ aElementOf0(sK2(X0,xx,X1),X0)
| ~ aElementOf0(sK2(X0,xx,X1),X1)
| ~ aSet0(X0)
| sdtpldt0(X0,xx) = X1 ),
inference(resolution,[],[f104,f118]) ).
fof(f393,plain,
! [X0] :
( ~ aSet0(X0)
| aElementOf0(sK2(X0,xx,xS),xS)
| aElementOf0(sK2(X0,xx,xS),X0)
| xS = sdtpldt0(X0,xx) ),
inference(resolution,[],[f200,f74]) ).
fof(f482,plain,
! [X0] :
( ~ aElementOf0(sK2(X0,xx,xS),xS)
| ~ aElementOf0(sK2(X0,xx,xS),X0)
| xx = sK2(X0,xx,xS)
| ~ aSet0(X0)
| xS = sdtpldt0(X0,xx) ),
inference(resolution,[],[f227,f74]) ).
fof(f758,plain,
( aElementOf0(sK2(sdtmndt0(xS,xx),xx,xS),xS)
| aElementOf0(sK2(sdtmndt0(xS,xx),xx,xS),sdtmndt0(xS,xx))
| xS = sdtpldt0(sdtmndt0(xS,xx),xx)
| ~ spl4_1 ),
inference(resolution,[],[f393,f210]) ).
fof(f766,plain,
( aElementOf0(sK2(sdtmndt0(xS,xx),xx,xS),xS)
| aElementOf0(sK2(sdtmndt0(xS,xx),xx,xS),sdtmndt0(xS,xx))
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f758,f76]) ).
fof(f1121,definition,
( spl4_64
<=> aElementOf0(sK2(sdtmndt0(xS,xx),xx,xS),sdtmndt0(xS,xx)) ),
introduced(definition,[new_symbols(definition,[spl4_64])],[avatar_definition]) ).
fof(f1122,plain,
( ~ aElementOf0(sK2(sdtmndt0(xS,xx),xx,xS),sdtmndt0(xS,xx))
| spl4_64 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1123,plain,
( aElementOf0(sK2(sdtmndt0(xS,xx),xx,xS),sdtmndt0(xS,xx))
| ~ spl4_64 ),
inference(avatar_component_clause,[],[f1121]) ).
fof(f1125,definition,
( spl4_65
<=> aElementOf0(sK2(sdtmndt0(xS,xx),xx,xS),xS) ),
introduced(definition,[new_symbols(definition,[spl4_65])],[avatar_definition]) ).
fof(f1127,plain,
( aElementOf0(sK2(sdtmndt0(xS,xx),xx,xS),xS)
| ~ spl4_65 ),
inference(avatar_component_clause,[],[f1125]) ).
fof(f1128,plain,
( spl4_64
| spl4_65
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f766,f209,f1125,f1121]) ).
fof(f1478,plain,
( aElementOf0(sK2(sdtmndt0(xS,xx),xx,xS),xS)
| xx = sK2(sdtmndt0(xS,xx),xx,xS)
| ~ spl4_64 ),
inference(resolution,[],[f1123,f199]) ).
fof(f1480,definition,
( spl4_111
<=> xx = sK2(sdtmndt0(xS,xx),xx,xS) ),
introduced(definition,[new_symbols(definition,[spl4_111])],[avatar_definition]) ).
fof(f1482,plain,
( xx = sK2(sdtmndt0(xS,xx),xx,xS)
| ~ spl4_111 ),
inference(avatar_component_clause,[],[f1480]) ).
fof(f1483,plain,
( spl4_111
| spl4_65
| ~ spl4_64 ),
inference(avatar_split_clause,[],[f1478,f1121,f1125,f1480]) ).
fof(f1522,plain,
( xx != xx
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElement0(xx)
| aElementOf0(xx,xS)
| ~ aSet0(xS)
| xS = sdtpldt0(sdtmndt0(xS,xx),xx)
| ~ spl4_111 ),
inference(superposition,[],[f224,f1482]) ).
fof(f1523,plain,
( ~ aSet0(sdtmndt0(xS,xx))
| ~ aElement0(xx)
| aElementOf0(xx,xS)
| ~ aSet0(xS)
| xS = sdtpldt0(sdtmndt0(xS,xx),xx)
| ~ spl4_111 ),
inference(trivial_inequality_removal,[],[f1522]) ).
fof(f1524,plain,
( ~ aSet0(sdtmndt0(xS,xx))
| aElementOf0(xx,xS)
| ~ aSet0(xS)
| xS = sdtpldt0(sdtmndt0(xS,xx),xx)
| ~ spl4_111 ),
inference(forward_subsumption_resolution,[],[f1523,f91]) ).
fof(f1525,plain,
( aElementOf0(xx,xS)
| ~ aSet0(xS)
| xS = sdtpldt0(sdtmndt0(xS,xx),xx)
| ~ spl4_1
| ~ spl4_111 ),
inference(forward_subsumption_resolution,[],[f1524,f210]) ).
fof(f1526,plain,
( ~ aSet0(xS)
| xS = sdtpldt0(sdtmndt0(xS,xx),xx)
| ~ spl4_1
| ~ spl4_111 ),
inference(forward_subsumption_resolution,[],[f1525,f113]) ).
fof(f1527,plain,
( xS = sdtpldt0(sdtmndt0(xS,xx),xx)
| ~ spl4_1
| ~ spl4_111 ),
inference(forward_subsumption_resolution,[],[f1526,f74]) ).
fof(f1528,plain,
( $false
| ~ spl4_1
| ~ spl4_111 ),
inference(forward_subsumption_resolution,[],[f1527,f76]) ).
fof(f1529,plain,
( ~ spl4_1
| ~ spl4_111 ),
inference(avatar_contradiction_clause,[],[f1528]) ).
fof(f1556,plain,
( ~ aElementOf0(sK2(sdtmndt0(xS,xx),xx,xS),sdtmndt0(xS,xx))
| xx = sK2(sdtmndt0(xS,xx),xx,xS)
| ~ aSet0(sdtmndt0(xS,xx))
| xS = sdtpldt0(sdtmndt0(xS,xx),xx)
| ~ spl4_65 ),
inference(resolution,[],[f1127,f482]) ).
fof(f1561,plain,
( ~ aElementOf0(sK2(sdtmndt0(xS,xx),xx,xS),sdtmndt0(xS,xx))
| xx = sK2(sdtmndt0(xS,xx),xx,xS)
| xS = sdtpldt0(sdtmndt0(xS,xx),xx)
| ~ spl4_1
| ~ spl4_65 ),
inference(forward_subsumption_resolution,[],[f1556,f210]) ).
fof(f1562,plain,
( ~ aElementOf0(sK2(sdtmndt0(xS,xx),xx,xS),sdtmndt0(xS,xx))
| xx = sK2(sdtmndt0(xS,xx),xx,xS)
| ~ spl4_1
| ~ spl4_65 ),
inference(forward_subsumption_resolution,[],[f1561,f76]) ).
fof(f1563,plain,
( spl4_111
| ~ spl4_64
| ~ spl4_1
| ~ spl4_65 ),
inference(avatar_split_clause,[],[f1562,f1125,f209,f1121,f1480]) ).
fof(f1578,plain,
( ~ aSet0(xS)
| ~ aElementOf0(sK2(sdtmndt0(xS,xx),xx,xS),xS)
| ~ aElement0(xx)
| spl4_64 ),
inference(resolution,[],[f1122,f111]) ).
fof(f1581,plain,
( ~ aElementOf0(sK2(sdtmndt0(xS,xx),xx,xS),xS)
| ~ aElement0(xx)
| spl4_64 ),
inference(forward_subsumption_resolution,[],[f1578,f74]) ).
fof(f1582,plain,
( ~ aElement0(xx)
| spl4_64
| ~ spl4_65 ),
inference(forward_subsumption_resolution,[],[f1581,f1127]) ).
fof(f1583,plain,
( $false
| spl4_64
| ~ spl4_65 ),
inference(forward_subsumption_resolution,[],[f1582,f118]) ).
fof(f1584,plain,
( spl4_64
| ~ spl4_65 ),
inference(avatar_contradiction_clause,[],[f1583]) ).
cnf(s3,plain,
spl4_1,
inference(sat_conversion,[],[f223]) ).
cnf(s63,plain,
( ~ spl4_1
| spl4_64
| spl4_65 ),
inference(sat_conversion,[],[f1128]) ).
cnf(s117,plain,
( ~ spl4_64
| spl4_65
| spl4_111 ),
inference(sat_conversion,[],[f1483]) ).
cnf(s121,plain,
( ~ spl4_1
| ~ spl4_111 ),
inference(sat_conversion,[],[f1529]) ).
cnf(s123,plain,
( ~ spl4_1
| ~ spl4_64
| ~ spl4_65
| spl4_111 ),
inference(sat_conversion,[],[f1563]) ).
cnf(s125,plain,
( spl4_64
| ~ spl4_65 ),
inference(sat_conversion,[],[f1584]) ).
cnf(s129,plain,
~ spl4_111,
inference(rat,[],[s121,s3]) ).
cnf(s132,plain,
spl4_64,
inference(rat,[],[s63,s125,s3]) ).
cnf(s133,plain,
~ spl4_65,
inference(rat,[],[s123,s129,s3,s132]) ).
cnf(s134,plain,
$false,
inference(rat,[],[s117,s129,s133,s132]) ).
fof(f1585,plain,
$false,
inference(avatar_sat_refutation,[],[s134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM534+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 20:22:34 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.16/0.51 % (3380387)Will run a generic schedule for satisfiability detection.
% 0.16/0.51 % (3380398)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1196153241:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.51 % (3380393)% WARNING: option uhcvi not known.
% 0.16/0.51 % (3380392)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1292935551_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.51 % (3380395)dis+10_1_sil=32000:sp=arity:random_seed=2932582224:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.51 % (3380397)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1674568087:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.51 % (3380394)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1257694710:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.51 % (3380396)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=213625587:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.51 % (3380393)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4104496234:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.51 % TRYING [1]
% 0.16/0.51 % TRYING [2]
% 0.16/0.51 % TRYING [3]
% 0.16/0.51 % TRYING [4]
% 0.16/0.51 % TRYING [5]
% 0.16/0.51 % TRYING [6]
% 0.16/0.51 % (3380393) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3380387-3380393"...
% 0.16/0.51 % (3380393)...printing done.
% 0.16/0.51 % (3380393)Refutation found. Thanks to Tanya!
% 0.16/0.51 % SZS status Theorem for theBenchmark
% 0.16/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.51 % (3380393)------------------------------
% 0.16/0.51 % (3380393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.51 % (3380393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.51 % (3380393)CaDiCaL version: 2.1.3
% 0.16/0.51 % (3380393)Termination reason: Refutation
% 0.16/0.51 % (3380393)Time elapsed: 0.051 s
% 0.16/0.51 % (3380393)Peak memory usage: 13 MB
% 0.16/0.51 % (3380393)Instructions burned: 73 (million)
% 0.16/0.51 % (3380387)Success in time 0.088 s
% 0.16/0.51 % Vampire exiting
%------------------------------------------------------------------------------