%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU203+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 12:47:43 PM UTC 2026
% Result : Theorem 2.58s 1.23s
% Output : Refutation 2.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 71 ( 7 unt; 4 def)
% Number of atoms : 290 ( 25 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 369 ( 150 ~; 151 |; 49 &)
% ( 14 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-3 aty)
% Number of variables : 157 ( 0 sgn 123 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f6,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).
fof(f26,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_image(X2,X1))
<=> ? [X3] :
( in(X3,relation_dom(X2))
& in(ordered_pair(X3,X0),X2)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t143_relat_1) ).
fof(f27,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_image(X2,X1))
<=> ? [X3] :
( in(X3,relation_dom(X2))
& in(ordered_pair(X3,X0),X2)
& in(X3,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f35,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f40,plain,
? [X0,X1,X2] :
( ( in(X0,relation_image(X2,X1))
<~> ? [X3] :
( in(X3,relation_dom(X2))
& in(ordered_pair(X3,X0),X2)
& in(X3,X1) ) )
& relation(X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f47,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X1) ) )
& ( ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) )
| ~ in(X3,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f35]) ).
fof(f48,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(ordered_pair(X5,X3),X0)
& in(X5,X1) )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1) ) )
& ( ? [X8] :
( in(ordered_pair(X8,X6),X0)
& in(X8,X1) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(rectify,[],[f47]) ).
fof(f49,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ( ( ! [X4] :
( ~ in(ordered_pair(X4,sK0(X0,X1,X2)),X0)
| ~ in(X4,X1) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( ( in(ordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),X0)
& in(sK1(X0,X1,X2),X1) )
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1) ) )
& ( ( in(ordered_pair(sK2(X0,X1,X6),X6),X0)
& in(sK2(X0,X1,X6),X1) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X3,sK0(X0,X1,X2)),skolemize(X5,sK1(X0,X1,X2)),skolemize(X8,sK2(X0,X1,X6))],[f48]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f36]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f50]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK3(X0,X1),X3),X0)
| ~ in(sK3(X0,X1),X1) )
& ( in(ordered_pair(sK3(X0,X1),sK4(X0,X1)),X0)
| in(sK3(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK5(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X2,sK3(X0,X1)),skolemize(X4,sK4(X0,X1)),skolemize(X7,sK5(X0,X5))],[f51]) ).
fof(f58,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X2))
| ~ in(ordered_pair(X3,X0),X2)
| ~ in(X3,X1) )
| ~ in(X0,relation_image(X2,X1)) )
& ( ? [X3] :
( in(X3,relation_dom(X2))
& in(ordered_pair(X3,X0),X2)
& in(X3,X1) )
| in(X0,relation_image(X2,X1)) )
& relation(X2) ),
inference(nnf_transformation,[],[f40]) ).
fof(f59,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X2))
| ~ in(ordered_pair(X3,X0),X2)
| ~ in(X3,X1) )
| ~ in(X0,relation_image(X2,X1)) )
& ( ? [X3] :
( in(X3,relation_dom(X2))
& in(ordered_pair(X3,X0),X2)
& in(X3,X1) )
| in(X0,relation_image(X2,X1)) )
& relation(X2) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X2))
| ~ in(ordered_pair(X3,X0),X2)
| ~ in(X3,X1) )
| ~ in(X0,relation_image(X2,X1)) )
& ( ? [X4] :
( in(X4,relation_dom(X2))
& in(ordered_pair(X4,X0),X2)
& in(X4,X1) )
| in(X0,relation_image(X2,X1)) )
& relation(X2) ),
inference(rectify,[],[f59]) ).
fof(f61,plain,
( ( ! [X3] :
( ~ in(X3,relation_dom(sK13))
| ~ in(ordered_pair(X3,sK11),sK13)
| ~ in(X3,sK12) )
| ~ in(sK11,relation_image(sK13,sK12)) )
& ( ( in(sK14,relation_dom(sK13))
& in(ordered_pair(sK14,sK11),sK13)
& in(sK14,sK12) )
| in(sK11,relation_image(sK13,sK12)) )
& relation(sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13),skolemize(X4,sK14)],[f60]) ).
fof(f65,plain,
! [X2,X0,X1,X6] :
( in(sK2(X0,X1,X6),X1)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f66,plain,
! [X2,X0,X1,X6] :
( in(ordered_pair(sK2(X0,X1,X6),X6),X0)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f67,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f72,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f75,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f92,plain,
relation(sK13),
inference(cnf_transformation,[],[f61]) ).
fof(f93,plain,
( in(sK14,sK12)
| in(sK11,relation_image(sK13,sK12)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f94,plain,
( in(ordered_pair(sK14,sK11),sK13)
| in(sK11,relation_image(sK13,sK12)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f96,plain,
! [X3] :
( ~ in(X3,relation_dom(sK13))
| ~ in(ordered_pair(X3,sK11),sK13)
| ~ in(X3,sK12)
| ~ in(sK11,relation_image(sK13,sK12)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f104,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(unordered_pair(unordered_pair(X7,X6),singleton(X7)),X0)
| ~ in(X7,X1)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(definition_unfolding,[],[f67,f75]) ).
fof(f105,plain,
! [X2,X0,X1,X6] :
( in(unordered_pair(unordered_pair(sK2(X0,X1,X6),X6),singleton(sK2(X0,X1,X6))),X0)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(definition_unfolding,[],[f66,f75]) ).
fof(f108,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f72,f75]) ).
fof(f111,plain,
! [X3] :
( ~ in(X3,relation_dom(sK13))
| ~ in(unordered_pair(unordered_pair(X3,sK11),singleton(X3)),sK13)
| ~ in(X3,sK12)
| ~ in(sK11,relation_image(sK13,sK12)) ),
inference(definition_unfolding,[],[f96,f75]) ).
fof(f112,plain,
( in(unordered_pair(unordered_pair(sK14,sK11),singleton(sK14)),sK13)
| in(sK11,relation_image(sK13,sK12)) ),
inference(definition_unfolding,[],[f94,f75]) ).
fof(f113,plain,
! [X0,X1,X6,X7] :
( ~ relation(X0)
| ~ in(unordered_pair(unordered_pair(X7,X6),singleton(X7)),X0)
| ~ in(X7,X1)
| in(X6,relation_image(X0,X1)) ),
inference(equality_resolution,[],[f104]) ).
fof(f114,plain,
! [X0,X1,X6] :
( ~ relation(X0)
| ~ in(X6,relation_image(X0,X1))
| in(unordered_pair(unordered_pair(sK2(X0,X1,X6),X6),singleton(sK2(X0,X1,X6))),X0) ),
inference(equality_resolution,[],[f105]) ).
fof(f115,plain,
! [X0,X1,X6] :
( ~ relation(X0)
| ~ in(X6,relation_image(X0,X1))
| in(sK2(X0,X1,X6),X1) ),
inference(equality_resolution,[],[f65]) ).
fof(f116,plain,
! [X0,X6,X5] :
( ~ relation(X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| in(X5,relation_dom(X0)) ),
inference(equality_resolution,[],[f108]) ).
fof(f130,definition,
( spl16_1
<=> in(sK11,relation_image(sK13,sK12)) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f133,definition,
( spl16_2
<=> in(sK14,sK12) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f134,plain,
( in(sK14,sK12)
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f135,plain,
( spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f93,f133,f130]) ).
fof(f137,definition,
( spl16_3
<=> in(unordered_pair(unordered_pair(sK14,sK11),singleton(sK14)),sK13) ),
introduced(definition,[new_symbols(definition,[spl16_3])],[avatar_definition]) ).
fof(f138,plain,
( in(unordered_pair(unordered_pair(sK14,sK11),singleton(sK14)),sK13)
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f139,plain,
( spl16_1
| spl16_3 ),
inference(avatar_split_clause,[],[f112,f137,f130]) ).
fof(f144,plain,
( ~ in(sK11,relation_image(sK13,sK12))
| spl16_1 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f146,definition,
( spl16_5
<=> ! [X3] :
( ~ in(X3,relation_dom(sK13))
| ~ in(X3,sK12)
| ~ in(unordered_pair(unordered_pair(X3,sK11),singleton(X3)),sK13) ) ),
introduced(definition,[new_symbols(definition,[spl16_5])],[avatar_definition]) ).
fof(f147,plain,
( ! [X3] :
( ~ in(unordered_pair(unordered_pair(X3,sK11),singleton(X3)),sK13)
| ~ in(X3,sK12)
| ~ in(X3,relation_dom(sK13)) )
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f148,plain,
( ~ spl16_1
| spl16_5 ),
inference(avatar_split_clause,[],[f111,f146,f130]) ).
fof(f195,plain,
! [X0,X1] :
( in(sK2(sK13,X1,X0),X1)
| ~ in(X0,relation_image(sK13,X1)) ),
inference(resolution,[],[f115,f92]) ).
fof(f210,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sK13)
| in(X0,relation_dom(sK13)) ),
inference(resolution,[],[f116,f92]) ).
fof(f224,plain,
! [X2,X0,X1] :
( in(X1,relation_image(sK13,X2))
| ~ in(X0,X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sK13) ),
inference(resolution,[],[f113,f92]) ).
fof(f232,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(sK2(sK13,X1,X0),X0),singleton(sK2(sK13,X1,X0))),sK13)
| ~ in(X0,relation_image(sK13,X1)) ),
inference(resolution,[],[f114,f92]) ).
fof(f258,plain,
( ! [X0] :
( ~ in(unordered_pair(unordered_pair(X0,sK11),singleton(X0)),sK13)
| ~ in(X0,sK12) )
| spl16_1 ),
inference(resolution,[],[f224,f144]) ).
fof(f259,plain,
( ~ in(sK14,sK12)
| spl16_1
| ~ spl16_3 ),
inference(resolution,[],[f258,f138]) ).
fof(f260,plain,
( $false
| spl16_1
| ~ spl16_2
| ~ spl16_3 ),
inference(resolution,[],[f259,f134]) ).
fof(f261,plain,
( spl16_1
| ~ spl16_2
| ~ spl16_3 ),
inference(avatar_contradiction_clause,[],[f260]) ).
fof(f269,plain,
! [X0,X1] :
( in(sK2(sK13,X1,X0),relation_dom(sK13))
| ~ in(X0,relation_image(sK13,X1)) ),
inference(resolution,[],[f232,f210]) ).
fof(f270,plain,
( ! [X0] :
( ~ in(sK2(sK13,X0,sK11),relation_dom(sK13))
| ~ in(sK2(sK13,X0,sK11),sK12)
| ~ in(sK11,relation_image(sK13,X0)) )
| ~ spl16_5 ),
inference(resolution,[],[f232,f147]) ).
fof(f474,plain,
( ! [X0] :
( ~ in(sK11,relation_image(sK13,X0))
| ~ in(sK2(sK13,X0,sK11),sK12)
| ~ in(sK11,relation_image(sK13,X0)) )
| ~ spl16_5 ),
inference(resolution,[],[f269,f270]) ).
fof(f477,plain,
( ! [X0] :
( ~ in(sK2(sK13,X0,sK11),sK12)
| ~ in(sK11,relation_image(sK13,X0)) )
| ~ spl16_5 ),
inference(duplicate_literal_removal,[],[f474]) ).
fof(f482,plain,
( ~ in(sK11,relation_image(sK13,sK12))
| ~ in(sK11,relation_image(sK13,sK12))
| ~ spl16_5 ),
inference(resolution,[],[f477,f195]) ).
fof(f483,plain,
( ~ in(sK11,relation_image(sK13,sK12))
| ~ spl16_5 ),
inference(duplicate_literal_removal,[],[f482]) ).
fof(f484,plain,
( ~ spl16_1
| ~ spl16_5 ),
inference(avatar_split_clause,[],[f483,f146,f130]) ).
cnf(s1,plain,
( spl16_1
| spl16_2 ),
inference(sat_conversion,[],[f135]) ).
cnf(s2,plain,
( spl16_1
| spl16_3 ),
inference(sat_conversion,[],[f139]) ).
cnf(s4,plain,
( ~ spl16_1
| spl16_5 ),
inference(sat_conversion,[],[f148]) ).
cnf(s7,plain,
( spl16_1
| ~ spl16_2
| ~ spl16_3 ),
inference(sat_conversion,[],[f261]) ).
cnf(s12,plain,
( ~ spl16_1
| ~ spl16_5 ),
inference(sat_conversion,[],[f484]) ).
cnf(s13,plain,
spl16_1,
inference(rat,[],[s7,s1,s2]) ).
cnf(s14,plain,
~ spl16_5,
inference(rat,[],[s12,s13]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s4,s14,s13]) ).
fof(f485,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU203+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n007.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 03:59:25 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.58/1.23 % (2013249)Detected formulas, will run a generic FOF schedule.
% 2.58/1.23 % (2013361)dis-21_1_sil=8000:lcm=predicate:random_seed=2085547246: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)
% 2.58/1.23 % (2013361)First to succeed.
% 2.58/1.23 % (2013361)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2013249"
% 2.58/1.23 % (2013357)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=3312274707:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.58/1.23 % (2013360)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4204982281:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.58/1.23 % (2013359)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3277252853:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.58/1.23 % (2013356)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=2963840522:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.58/1.23 % (2013358)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3031429336:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.58/1.23 % (2013355)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=416287311:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.58/1.23 % (2013358)Refutation not found, incomplete strategy
% 2.58/1.23 % (2013358)------------------------------
% 2.58/1.23 % (2013358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.23 % (2013358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.23 % (2013358)CaDiCaL version: 2.1.3
% 2.58/1.23 % (2013358)Termination reason: Refutation not found, incomplete strategy
% 2.58/1.23 % (2013358)Time elapsed: 0.003 s
% 2.58/1.23 % (2013358)Peak memory usage: 88 MB
% 2.58/1.23 % (2013358)Instructions burned: 2 (million)
% 2.58/1.23 % (2013359)Also succeeded, but the first one will report.
% 2.58/1.23 % (2013360)Also succeeded, but the first one will report.
% 2.58/1.23 % (2013361)Refutation found. Thanks to Tanya!
% 2.58/1.23 % SZS status Theorem for theBenchmark
% 2.58/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 2.97/1.43 % (2013361)------------------------------
% 2.97/1.43 % (2013361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.97/1.43 % (2013361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.97/1.43 % (2013361)CaDiCaL version: 2.1.3
% 2.97/1.43 % (2013361)Termination reason: Refutation
% 2.97/1.43 % (2013361)Time elapsed: 0.005 s
% 2.97/1.43 % (2013361)Peak memory usage: 89 MB
% 2.97/1.43 % (2013361)Instructions burned: 12 (million)
% 2.97/1.43 % (2013361)------------------------------
% 2.97/1.43 % (2013361)------------------------------
% 2.97/1.43 % (2013249)Success in time 0.334 s
% 2.97/1.43 % Vampire exiting
%------------------------------------------------------------------------------