%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET993+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:42:29 PM UTC 2026
% Result : Theorem 5.73s 2.14s
% Output : Refutation 9.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 13
% Syntax : Number of formulae : 117 ( 20 unt; 4 def)
% Number of atoms : 422 ( 175 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 510 ( 205 ~; 237 |; 49 &)
% ( 12 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 226 ( 0 sgn 209 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( empty(X0)
=> function(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(f4,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f5,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f11,axiom,
( empty(empty_set)
& relation(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_relat_1) ).
fof(f14,axiom,
! [X0] :
( empty(X0)
=> ( empty(relation_dom(X0))
& relation(relation_dom(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_relat_1) ).
fof(f25,axiom,
! [X0,X1] :
? [X2] :
( relation(X2)
& function(X2)
& relation_dom(X2) = X0
& ! [X3] :
( in(X3,X0)
=> apply(X2,X3) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_funct_1__e2_13__funct_1) ).
fof(f26,conjecture,
! [X0] :
( X0 != empty_set
=> ! [X1] :
? [X2] :
( relation(X2)
& function(X2)
& relation_dom(X2) = X0
& relation_rng(X2) = singleton(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_funct_1) ).
fof(f27,negated_conjecture,
~ ! [X0] :
( X0 != empty_set
=> ! [X1] :
? [X2] :
( relation(X2)
& function(X2)
& relation_dom(X2) = X0
& relation_rng(X2) = singleton(X1) ) ),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f33,axiom,
! [X0] :
( empty(X0)
=> X0 = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f34,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& empty(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f38,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f40]) ).
fof(f46,plain,
! [X0] :
( ( empty(relation_dom(X0))
& relation(relation_dom(X0)) )
| ~ empty(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f49,plain,
! [X0,X1] :
? [X2] :
( relation(X2)
& function(X2)
& relation_dom(X2) = X0
& ! [X3] :
( apply(X2,X3) = X1
| ~ in(X3,X0) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f50,plain,
? [X0] :
( ? [X1] :
! [X2] :
( ~ relation(X2)
| ~ function(X2)
| relation_dom(X2) != X0
| relation_rng(X2) != singleton(X1) )
& X0 != empty_set ),
inference(ennf_transformation,[],[f27]) ).
fof(f57,plain,
! [X0] :
( X0 = empty_set
| ~ empty(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f58,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f60,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X2 = X0
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f61,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f60]) ).
fof(f62,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ( ( sK0(X0,X1) != X0
| ~ in(sK0(X0,X1),X1) )
& ( sK0(X0,X1) = X0
| in(sK0(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f61]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 ) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f41]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,relation_dom(X0))
& apply(X0,X4) = X2 )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 ) )
& ( ? [X7] :
( in(X7,relation_dom(X0))
& apply(X0,X7) = X5 )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f63]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != sK1(X0,X1) )
| ~ in(sK1(X0,X1),X1) )
& ( ( in(sK2(X0,X1),relation_dom(X0))
& sK1(X0,X1) = apply(X0,sK2(X0,X1)) )
| in(sK1(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 ) )
& ( ( in(sK3(X0,X5),relation_dom(X0))
& apply(X0,sK3(X0,X5)) = X5 )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X2,sK1(X0,X1)),skolemize(X4,sK2(X0,X1)),skolemize(X7,sK3(X0,X5))],[f64]) ).
fof(f75,plain,
! [X0,X1] :
( relation(sK13(X0,X1))
& function(sK13(X0,X1))
& relation_dom(sK13(X0,X1)) = X0
& ! [X3] :
( apply(sK13(X0,X1),X3) = X1
| ~ in(X3,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X2,sK13(X0,X1))],[f49]) ).
fof(f76,plain,
( ! [X2] :
( ~ relation(X2)
| ~ function(X2)
| relation_dom(X2) != sK14
| relation_rng(X2) != singleton(sK15) )
& empty_set != sK14 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X0,sK14),skolemize(X1,sK15)],[f50]) ).
fof(f79,plain,
! [X0] :
( function(X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f81,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f62]) ).
fof(f82,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f62]) ).
fof(f86,plain,
! [X0,X1,X5] :
( in(sK3(X0,X5),relation_dom(X0))
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f88,plain,
! [X0,X1] :
( ~ relation(X0)
| sK1(X0,X1) = apply(X0,sK2(X0,X1))
| in(sK1(X0,X1),X1)
| relation_rng(X0) = X1
| ~ function(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f89,plain,
! [X0,X1] :
( ~ relation(X0)
| in(sK2(X0,X1),relation_dom(X0))
| in(sK1(X0,X1),X1)
| relation_rng(X0) = X1
| ~ function(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f90,plain,
! [X3,X0,X1] :
( apply(X0,X3) != sK1(X0,X1)
| ~ in(X3,relation_dom(X0))
| relation_rng(X0) = X1
| ~ in(sK1(X0,X1),X1)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f98,plain,
relation(empty_set),
inference(cnf_transformation,[],[f11]) ).
fof(f99,plain,
empty(empty_set),
inference(cnf_transformation,[],[f11]) ).
fof(f103,plain,
! [X0] :
( ~ empty(X0)
| empty(relation_dom(X0)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f121,plain,
! [X3,X0,X1] :
( ~ in(X3,X0)
| apply(sK13(X0,X1),X3) = X1 ),
inference(cnf_transformation,[],[f75]) ).
fof(f122,plain,
! [X0,X1] : relation_dom(sK13(X0,X1)) = X0,
inference(cnf_transformation,[],[f75]) ).
fof(f123,plain,
! [X0,X1] : function(sK13(X0,X1)),
inference(cnf_transformation,[],[f75]) ).
fof(f124,plain,
! [X0,X1] : relation(sK13(X0,X1)),
inference(cnf_transformation,[],[f75]) ).
fof(f125,plain,
empty_set != sK14,
inference(cnf_transformation,[],[f76]) ).
fof(f126,plain,
! [X2] :
( relation_dom(X2) != sK14
| ~ function(X2)
| ~ relation(X2)
| relation_rng(X2) != singleton(sK15) ),
inference(cnf_transformation,[],[f76]) ).
fof(f133,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f134,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f136,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f82]) ).
fof(f137,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f136]) ).
fof(f138,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f81]) ).
fof(f141,plain,
! [X0,X5] :
( in(sK3(X0,X5),relation_dom(X0))
| ~ in(X5,relation_rng(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f86]) ).
fof(f146,definition,
( spl16_1
<=> function(empty_set) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f147,plain,
( ~ function(empty_set)
| spl16_1 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f153,plain,
! [X2,X0,X1] :
( sK1(sK13(X0,X1),X2) = apply(sK13(X0,X1),sK2(sK13(X0,X1),X2))
| in(sK1(sK13(X0,X1),X2),X2)
| relation_rng(sK13(X0,X1)) = X2
| ~ function(sK13(X0,X1)) ),
inference(resolution,[],[f124,f88]) ).
fof(f156,plain,
! [X2,X0,X1] :
( in(sK1(sK13(X0,X1),X2),X2)
| sK1(sK13(X0,X1),X2) = apply(sK13(X0,X1),sK2(sK13(X0,X1),X2))
| relation_rng(sK13(X0,X1)) = X2 ),
inference(forward_subsumption_resolution,[],[f153,f123]) ).
fof(f158,plain,
! [X2,X0,X1] :
( in(sK2(sK13(X0,X1),X2),relation_dom(sK13(X0,X1)))
| in(sK1(sK13(X0,X1),X2),X2)
| relation_rng(sK13(X0,X1)) = X2
| ~ function(sK13(X0,X1)) ),
inference(resolution,[],[f89,f124]) ).
fof(f159,plain,
! [X2,X0,X1] :
( in(sK2(sK13(X0,X1),X2),relation_dom(sK13(X0,X1)))
| in(sK1(sK13(X0,X1),X2),X2)
| relation_rng(sK13(X0,X1)) = X2 ),
inference(forward_subsumption_resolution,[],[f158,f123]) ).
fof(f160,plain,
! [X2,X0,X1] :
( in(sK2(sK13(X0,X1),X2),X0)
| in(sK1(sK13(X0,X1),X2),X2)
| relation_rng(sK13(X0,X1)) = X2 ),
inference(forward_demodulation,[],[f159,f122]) ).
fof(f162,plain,
! [X2,X0,X1] :
( in(sK2(sK13(X0,X1),singleton(X2)),X0)
| relation_rng(sK13(X0,X1)) = singleton(X2)
| sK1(sK13(X0,X1),singleton(X2)) = X2 ),
inference(resolution,[],[f160,f138]) ).
fof(f177,plain,
! [X0] : ~ in(X0,empty_set),
inference(resolution,[],[f99,f134]) ).
fof(f180,plain,
! [X0,X1] :
( in(sK2(sK13(X0,X1),empty_set),X0)
| empty_set = relation_rng(sK13(X0,X1)) ),
inference(resolution,[],[f177,f160]) ).
fof(f191,plain,
! [X2,X3,X0,X1] :
( apply(sK13(X0,X3),sK2(sK13(X0,X1),singleton(X2))) = X3
| sK1(sK13(X0,X1),singleton(X2)) = X2
| relation_rng(sK13(X0,X1)) = singleton(X2) ),
inference(resolution,[],[f162,f121]) ).
fof(f239,plain,
( ~ empty(empty_set)
| spl16_1 ),
inference(resolution,[],[f147,f79]) ).
fof(f241,plain,
( $false
| spl16_1 ),
inference(forward_subsumption_resolution,[],[f239,f99]) ).
fof(f242,plain,
spl16_1,
inference(avatar_contradiction_clause,[],[f241]) ).
fof(f375,plain,
! [X0,X1] :
( sK14 != X0
| ~ function(sK13(X0,X1))
| ~ relation(sK13(X0,X1))
| singleton(sK15) != relation_rng(sK13(X0,X1)) ),
inference(superposition,[],[f126,f122]) ).
fof(f376,plain,
! [X0,X1] :
( sK14 != X0
| ~ relation(sK13(X0,X1))
| singleton(sK15) != relation_rng(sK13(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f375,f123]) ).
fof(f379,plain,
! [X0,X1] :
( singleton(sK15) != relation_rng(sK13(X0,X1))
| sK14 != X0 ),
inference(forward_subsumption_resolution,[],[f376,f124]) ).
fof(f582,plain,
! [X2,X0,X1] :
( sK1(sK13(X0,X1),singleton(X2)) = apply(sK13(X0,X1),sK2(sK13(X0,X1),singleton(X2)))
| relation_rng(sK13(X0,X1)) = singleton(X2)
| sK1(sK13(X0,X1),singleton(X2)) = X2 ),
inference(resolution,[],[f156,f138]) ).
fof(f606,plain,
empty(relation_dom(empty_set)),
inference(resolution,[],[f103,f99]) ).
fof(f612,plain,
empty_set = relation_dom(empty_set),
inference(resolution,[],[f606,f133]) ).
fof(f627,plain,
! [X0] :
( in(sK3(empty_set,X0),empty_set)
| ~ in(X0,relation_rng(empty_set))
| ~ relation(empty_set)
| ~ function(empty_set) ),
inference(superposition,[],[f141,f612]) ).
fof(f629,plain,
! [X0] :
( in(sK3(empty_set,X0),empty_set)
| ~ in(X0,relation_rng(empty_set))
| ~ function(empty_set) ),
inference(forward_subsumption_resolution,[],[f627,f98]) ).
fof(f632,plain,
! [X0] :
( ~ in(X0,relation_rng(empty_set))
| ~ function(empty_set) ),
inference(forward_subsumption_resolution,[],[f629,f177]) ).
fof(f634,definition,
( spl16_29
<=> ! [X0] : ~ in(X0,relation_rng(empty_set)) ),
introduced(definition,[new_symbols(definition,[spl16_29])],[avatar_definition]) ).
fof(f635,plain,
( ! [X0] : ~ in(X0,relation_rng(empty_set))
| ~ spl16_29 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f636,plain,
( ~ spl16_1
| spl16_29 ),
inference(avatar_split_clause,[],[f632,f634,f146]) ).
fof(f648,plain,
( ! [X0,X1] :
( in(sK1(sK13(relation_rng(empty_set),X0),X1),X1)
| relation_rng(sK13(relation_rng(empty_set),X0)) = X1 )
| ~ spl16_29 ),
inference(resolution,[],[f635,f160]) ).
fof(f650,plain,
( ! [X0] : empty_set = relation_rng(sK13(relation_rng(empty_set),X0))
| ~ spl16_29 ),
inference(resolution,[],[f635,f180]) ).
fof(f653,plain,
( ! [X0,X1] :
( in(sK1(sK13(relation_rng(empty_set),X0),X1),X1)
| empty_set = X1 )
| ~ spl16_29 ),
inference(forward_demodulation,[],[f648,f650]) ).
fof(f1887,plain,
! [X2,X0,X1] :
( sK1(sK13(X0,X1),singleton(X2)) = X1
| sK1(sK13(X0,X1),singleton(X2)) = X2
| relation_rng(sK13(X0,X1)) = singleton(X2)
| relation_rng(sK13(X0,X1)) = singleton(X2)
| sK1(sK13(X0,X1),singleton(X2)) = X2 ),
inference(superposition,[],[f191,f582]) ).
fof(f1892,plain,
! [X2,X0,X1] :
( sK1(sK13(X0,X1),singleton(X2)) = X1
| sK1(sK13(X0,X1),singleton(X2)) = X2
| relation_rng(sK13(X0,X1)) = singleton(X2) ),
inference(duplicate_literal_removal,[],[f1887]) ).
fof(f1922,plain,
! [X2,X3,X0,X1] :
( apply(sK13(X1,X0),X2) != X0
| ~ in(X2,relation_dom(sK13(X1,X0)))
| singleton(X3) = relation_rng(sK13(X1,X0))
| ~ in(X0,singleton(X3))
| ~ relation(sK13(X1,X0))
| ~ function(sK13(X1,X0))
| sK1(sK13(X1,X0),singleton(X3)) = X3
| singleton(X3) = relation_rng(sK13(X1,X0)) ),
inference(superposition,[],[f90,f1892]) ).
fof(f1948,plain,
! [X2,X3,X0,X1] :
( apply(sK13(X1,X0),X2) != X0
| ~ in(X2,relation_dom(sK13(X1,X0)))
| singleton(X3) = relation_rng(sK13(X1,X0))
| ~ in(X0,singleton(X3))
| ~ relation(sK13(X1,X0))
| ~ function(sK13(X1,X0))
| sK1(sK13(X1,X0),singleton(X3)) = X3 ),
inference(duplicate_literal_removal,[],[f1922]) ).
fof(f1969,plain,
! [X2,X3,X0,X1] :
( apply(sK13(X1,X0),X2) != X0
| ~ in(X2,relation_dom(sK13(X1,X0)))
| singleton(X3) = relation_rng(sK13(X1,X0))
| ~ in(X0,singleton(X3))
| ~ function(sK13(X1,X0))
| sK1(sK13(X1,X0),singleton(X3)) = X3 ),
inference(forward_subsumption_resolution,[],[f1948,f124]) ).
fof(f1973,plain,
! [X2,X3,X0,X1] :
( apply(sK13(X1,X0),X2) != X0
| ~ in(X2,relation_dom(sK13(X1,X0)))
| singleton(X3) = relation_rng(sK13(X1,X0))
| ~ in(X0,singleton(X3))
| sK1(sK13(X1,X0),singleton(X3)) = X3 ),
inference(forward_subsumption_resolution,[],[f1969,f123]) ).
fof(f1975,plain,
! [X2,X3,X0,X1] :
( ~ in(X2,X1)
| apply(sK13(X1,X0),X2) != X0
| singleton(X3) = relation_rng(sK13(X1,X0))
| ~ in(X0,singleton(X3))
| sK1(sK13(X1,X0),singleton(X3)) = X3 ),
inference(forward_demodulation,[],[f1973,f122]) ).
fof(f1977,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,singleton(X3))
| singleton(X3) = relation_rng(sK13(X1,X0))
| ~ in(X2,X1)
| sK1(sK13(X1,X0),singleton(X3)) = X3 ),
inference(forward_subsumption_resolution,[],[f1975,f121]) ).
fof(f1978,plain,
! [X2,X0,X1] :
( ~ in(X2,X1)
| singleton(X0) = relation_rng(sK13(X1,X0))
| sK1(sK13(X1,X0),singleton(X0)) = X0 ),
inference(resolution,[],[f1977,f137]) ).
fof(f2034,plain,
( ! [X0,X1] :
( sK1(sK13(X1,X0),singleton(X0)) = X0
| singleton(X0) = relation_rng(sK13(X1,X0))
| empty_set = X1 )
| ~ spl16_29 ),
inference(resolution,[],[f1978,f653]) ).
fof(f2139,definition,
( spl16_40
<=> ! [X0] : singleton(X0) != singleton(sK15) ),
introduced(definition,[new_symbols(definition,[spl16_40])],[avatar_definition]) ).
fof(f2140,plain,
( ! [X0] : singleton(X0) != singleton(sK15)
| ~ spl16_40 ),
inference(avatar_component_clause,[],[f2139]) ).
fof(f2228,plain,
( ! [X2,X0,X1] :
( apply(sK13(X1,X0),X2) != X0
| ~ in(X2,relation_dom(sK13(X1,X0)))
| singleton(X0) = relation_rng(sK13(X1,X0))
| ~ in(X0,singleton(X0))
| ~ relation(sK13(X1,X0))
| ~ function(sK13(X1,X0))
| singleton(X0) = relation_rng(sK13(X1,X0))
| empty_set = X1 )
| ~ spl16_29 ),
inference(superposition,[],[f90,f2034]) ).
fof(f2229,plain,
( ! [X2,X0,X1] :
( apply(sK13(X1,X0),X2) != X0
| ~ in(X2,relation_dom(sK13(X1,X0)))
| singleton(X0) = relation_rng(sK13(X1,X0))
| ~ in(X0,singleton(X0))
| ~ relation(sK13(X1,X0))
| ~ function(sK13(X1,X0))
| empty_set = X1 )
| ~ spl16_29 ),
inference(duplicate_literal_removal,[],[f2228]) ).
fof(f2245,plain,
( ! [X2,X0,X1] :
( apply(sK13(X1,X0),X2) != X0
| ~ in(X2,relation_dom(sK13(X1,X0)))
| singleton(X0) = relation_rng(sK13(X1,X0))
| ~ relation(sK13(X1,X0))
| ~ function(sK13(X1,X0))
| empty_set = X1 )
| ~ spl16_29 ),
inference(forward_subsumption_resolution,[],[f2229,f137]) ).
fof(f2250,plain,
( ! [X2,X0,X1] :
( apply(sK13(X1,X0),X2) != X0
| ~ in(X2,relation_dom(sK13(X1,X0)))
| singleton(X0) = relation_rng(sK13(X1,X0))
| ~ function(sK13(X1,X0))
| empty_set = X1 )
| ~ spl16_29 ),
inference(forward_subsumption_resolution,[],[f2245,f124]) ).
fof(f2254,plain,
( ! [X2,X0,X1] :
( apply(sK13(X1,X0),X2) != X0
| ~ in(X2,relation_dom(sK13(X1,X0)))
| singleton(X0) = relation_rng(sK13(X1,X0))
| empty_set = X1 )
| ~ spl16_29 ),
inference(forward_subsumption_resolution,[],[f2250,f123]) ).
fof(f2255,plain,
( ! [X2,X0,X1] :
( ~ in(X2,X1)
| apply(sK13(X1,X0),X2) != X0
| singleton(X0) = relation_rng(sK13(X1,X0))
| empty_set = X1 )
| ~ spl16_29 ),
inference(forward_demodulation,[],[f2254,f122]) ).
fof(f2256,plain,
( ! [X2,X0,X1] :
( ~ in(X2,X1)
| singleton(X0) = relation_rng(sK13(X1,X0))
| empty_set = X1 )
| ~ spl16_29 ),
inference(forward_subsumption_resolution,[],[f2255,f121]) ).
fof(f2283,plain,
( $false
| ~ spl16_40 ),
inference(unit_resulting_resolution,[],[f138,f137,f2140]) ).
fof(f2288,plain,
~ spl16_40,
inference(avatar_contradiction_clause,[],[f2283]) ).
fof(f2312,plain,
( ! [X0,X1] :
( singleton(X0) = relation_rng(sK13(X1,X0))
| empty_set = X1
| empty_set = X1 )
| ~ spl16_29 ),
inference(resolution,[],[f2256,f653]) ).
fof(f2328,plain,
( ! [X0,X1] :
( singleton(X0) = relation_rng(sK13(X1,X0))
| empty_set = X1 )
| ~ spl16_29 ),
inference(duplicate_literal_removal,[],[f2312]) ).
fof(f2340,plain,
( ! [X0,X1] :
( singleton(X0) != singleton(sK15)
| sK14 != X1
| empty_set = X1 )
| ~ spl16_29 ),
inference(superposition,[],[f379,f2328]) ).
fof(f2350,definition,
( spl16_42
<=> ! [X1] :
( sK14 != X1
| empty_set = X1 ) ),
introduced(definition,[new_symbols(definition,[spl16_42])],[avatar_definition]) ).
fof(f2351,plain,
( ! [X1] :
( sK14 != X1
| empty_set = X1 )
| ~ spl16_42 ),
inference(avatar_component_clause,[],[f2350]) ).
fof(f2352,plain,
( spl16_42
| spl16_40
| ~ spl16_29 ),
inference(avatar_split_clause,[],[f2340,f634,f2139,f2350]) ).
fof(f2355,plain,
( empty_set = sK14
| ~ spl16_42 ),
inference(equality_resolution,[],[f2351]) ).
fof(f2356,plain,
( $false
| ~ spl16_42 ),
inference(forward_subsumption_resolution,[],[f2355,f125]) ).
fof(f2357,plain,
~ spl16_42,
inference(avatar_contradiction_clause,[],[f2356]) ).
cnf(s6,plain,
spl16_1,
inference(sat_conversion,[],[f242]) ).
cnf(s28,plain,
( ~ spl16_1
| spl16_29 ),
inference(sat_conversion,[],[f636]) ).
cnf(s53,plain,
~ spl16_40,
inference(sat_conversion,[],[f2288]) ).
cnf(s54,plain,
( ~ spl16_29
| spl16_40
| spl16_42 ),
inference(sat_conversion,[],[f2352]) ).
cnf(s55,plain,
~ spl16_42,
inference(sat_conversion,[],[f2357]) ).
cnf(s56,plain,
( ~ spl16_29
| spl16_40 ),
inference(rat,[],[s54,s55]) ).
cnf(s57,plain,
~ spl16_29,
inference(rat,[],[s56,s53]) ).
cnf(s59,plain,
~ spl16_1,
inference(rat,[],[s28,s57]) ).
cnf(s63,plain,
$false,
inference(rat,[],[s6,s59]) ).
fof(f2358,plain,
$false,
inference(avatar_sat_refutation,[],[s63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET993+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n020.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 : Mon Sep 28 03:22:05 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 5.73/2.14 % (3993832)Detected formulas, will run a generic FOF schedule.
% 5.73/2.14 % (3993841)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2319615858:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.73/2.14 % (3993841)Refutation not found, incomplete strategy
% 5.73/2.14 % (3993841)------------------------------
% 5.73/2.14 % (3993841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/2.14 % (3993841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/2.14 % (3993841)CaDiCaL version: 2.1.3
% 5.73/2.14 % (3993841)Termination reason: Refutation not found, incomplete strategy
% 5.73/2.14 % (3993841)Time elapsed: 0.001 s
% 5.73/2.14 % (3993841)Peak memory usage: 88 MB
% 5.73/2.14 % (3993841)Instructions burned: 2 (million)
% 5.73/2.14 % (3993837)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=2158456130:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.73/2.14 % (3993840)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4130803921:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.73/2.14 % (3993838)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=314081185:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.73/2.14 % (3993839)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=3625958337:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.73/2.14 % (3993840)Refutation not found, incomplete strategy
% 5.73/2.14 % (3993840)------------------------------
% 5.73/2.14 % (3993840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/2.14 % (3993840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/2.14 % (3993840)CaDiCaL version: 2.1.3
% 5.73/2.14 % (3993840)Termination reason: Refutation not found, incomplete strategy
% 5.73/2.14 % (3993840)Time elapsed: 0.002 s
% 5.73/2.14 % (3993840)Peak memory usage: 88 MB
% 5.73/2.14 % (3993840)Instructions burned: 1 (million)
% 5.73/2.14 % (3993843)dis-21_1_sil=8000:lcm=predicate:random_seed=225414204: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)
% 5.73/2.14 % (3993842)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2032607098:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.73/2.14 % (3993843)Instruction limit reached!
% 5.73/2.14 % (3993843)------------------------------
% 5.73/2.14 % (3993843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/2.14 % (3993843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/2.14 % (3993843)CaDiCaL version: 2.1.3
% 5.73/2.14 % (3993843)Termination reason: Instruction limit
% 5.73/2.14 % (3993843)Termination phase: Saturation
% 5.73/2.14 % (3993843)Time elapsed: 0.083 s
% 5.73/2.14 % (3993843)Peak memory usage: 90 MB
% 5.73/2.14 % (3993843)Instructions burned: 130 (million)
% 5.73/2.14 % (3993841)------------------------------
% 5.73/2.14 % (3993841)------------------------------
% 5.73/2.14 % (3993842)Instruction limit reached!
% 5.73/2.14 % (3993842)------------------------------
% 5.73/2.14 % (3993842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/2.14 % (3993842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/2.14 % (3993842)CaDiCaL version: 2.1.3
% 5.73/2.14 % (3993842)Termination reason: Instruction limit
% 5.73/2.14 % (3993842)Termination phase: Saturation
% 5.73/2.14 % (3993842)Time elapsed: 0.088 s
% 5.73/2.14 % (3993842)Peak memory usage: 89 MB
% 5.73/2.14 % (3993842)Instructions burned: 140 (million)
% 5.73/2.14 % (3993852)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1658880665:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.73/2.14 % (3993851)lrs+10_1_sil=8000:sp=occurrence:random_seed=828931649:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.73/2.14 % (3993853)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2062690983:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.73/2.14 % (3993840)------------------------------
% 5.73/2.14 % (3993840)------------------------------
% 5.73/2.14 % (3993852)Instruction limit reached!
% 5.73/2.14 % (3993852)------------------------------
% 5.73/2.14 % (3993852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/2.14 % (3993852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/2.14 % (3993852)CaDiCaL version: 2.1.3
% 5.73/2.14 % (3993852)Termination reason: Instruction limit
% 5.73/2.14 % (3993852)Termination phase: Saturation
% 5.73/2.14 % (3993852)Time elapsed: 0.050 s
% 5.73/2.14 % (3993852)Peak memory usage: 89 MB
% 5.73/2.14 % (3993852)Instructions burned: 159 (million)
% 5.73/2.14 % (3993858)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2838134771:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.73/2.14 % (3993858)Refutation not found, incomplete strategy
% 5.73/2.14 % (3993858)------------------------------
% 5.73/2.14 % (3993858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/2.14 % (3993858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/2.14 % (3993858)CaDiCaL version: 2.1.3
% 5.73/2.14 % (3993858)Termination reason: Refutation not found, incomplete strategy
% 5.73/2.14 % (3993858)Time elapsed: 0.001 s
% 5.73/2.14 % (3993858)Peak memory usage: 88 MB
% 5.73/2.14 % (3993858)Instructions burned: 2 (million)
% 5.73/2.14 % (3993851)Instruction limit reached!
% 5.73/2.14 % (3993851)------------------------------
% 5.73/2.14 % (3993851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/2.14 % (3993851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/2.14 % (3993851)CaDiCaL version: 2.1.3
% 5.73/2.14 % (3993851)Termination reason: Instruction limit
% 5.73/2.14 % (3993851)Termination phase: Saturation
% 5.73/2.14 % (3993851)Time elapsed: 0.156 s
% 5.73/2.14 % (3993851)Peak memory usage: 91 MB
% 5.73/2.14 % (3993851)Instructions burned: 285 (million)
% 5.73/2.14 % (3993857)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3717205616:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.73/2.14 % (3993853)Instruction limit reached!
% 5.73/2.14 % (3993853)------------------------------
% 5.73/2.14 % (3993853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/2.14 % (3993853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/2.14 % (3993853)CaDiCaL version: 2.1.3
% 5.73/2.14 % (3993853)Termination reason: Instruction limit
% 5.73/2.14 % (3993853)Termination phase: Saturation
% 5.73/2.14 % (3993853)Time elapsed: 0.191 s
% 5.73/2.14 % (3993853)Peak memory usage: 91 MB
% 5.73/2.14 % (3993853)Instructions burned: 327 (million)
% 5.73/2.14 % (3993860)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3333719497:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.73/2.14 % (3993858)------------------------------
% 5.73/2.14 % (3993858)------------------------------
% 5.73/2.14 % (3993857)Instruction limit reached!
% 5.73/2.14 % (3993857)------------------------------
% 5.73/2.14 % (3993857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/2.14 % (3993857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/2.14 % (3993857)CaDiCaL version: 2.1.3
% 5.73/2.14 % (3993857)Termination reason: Instruction limit
% 5.73/2.14 % (3993857)Termination phase: Saturation
% 5.73/2.14 % (3993857)Time elapsed: 0.150 s
% 5.73/2.14 % (3993857)Peak memory usage: 90 MB
% 5.73/2.14 % (3993857)Instructions burned: 249 (million)
% 5.73/2.14 % (3993862)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2304266902:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.73/2.14 % (3993864)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=45552514:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.73/2.14 % (3993864)Refutation not found, incomplete strategy
% 5.73/2.14 % (3993864)------------------------------
% 5.73/2.14 % (3993864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/2.14 % (3993864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/2.14 % (3993864)CaDiCaL version: 2.1.3
% 5.73/2.14 % (3993864)Termination reason: Refutation not found, incomplete strategy
% 5.73/2.14 % (3993864)Time elapsed: 0.002 s
% 5.73/2.14 % (3993864)Peak memory usage: 88 MB
% 5.73/2.14 % (3993864)Instructions burned: 1 (million)
% 5.73/2.14 % (3993862)Instruction limit reached!
% 5.73/2.14 % (3993862)------------------------------
% 5.73/2.14 % (3993862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/2.14 % (3993862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/2.14 % (3993862)CaDiCaL version: 2.1.3
% 5.73/2.14 % (3993862)Termination reason: Instruction limit
% 5.73/2.14 % (3993862)Termination phase: Saturation
% 5.73/2.14 % (3993862)Time elapsed: 0.078 s
% 5.73/2.14 % (3993862)Peak memory usage: 89 MB
% 5.73/2.14 % (3993862)Instructions burned: 113 (million)
% 5.73/2.14 % (3993865)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2309520952:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 5.73/2.14 % (3993865)Refutation not found, incomplete strategy
% 5.73/2.14 % (3993865)------------------------------
% 5.73/2.14 % (3993865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/2.14 % (3993865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/2.14 % (3993865)CaDiCaL version: 2.1.3
% 5.73/2.14 % (3993865)Termination reason: Refutation not found, incomplete strategy
% 5.73/2.14 % (3993865)Time elapsed: 0.002 s
% 5.73/2.14 % (3993865)Peak memory usage: 88 MB
% 5.73/2.14 % (3993865)Instructions burned: 1 (million)
% 5.73/2.14 % (3993868)lrs+10_1_sil=8000:sp=occurrence:random_seed=1978696570:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 5.73/2.14 % (3993838)First to succeed.
% 5.73/2.14 % (3993864)------------------------------
% 5.73/2.14 % (3993864)------------------------------
% 5.73/2.14 % (3993838)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3993832"
% 5.73/2.14 % (3993837)Also succeeded, but the first one will report.
% 5.73/2.14 % (3993865)------------------------------
% 5.73/2.14 % (3993865)------------------------------
% 5.73/2.14 % (3993871)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2199492595:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 5.73/2.14 % (3993871)Refutation not found, incomplete strategy
% 5.73/2.14 % (3993871)------------------------------
% 5.73/2.14 % (3993871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/2.14 % (3993871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/2.14 % (3993871)CaDiCaL version: 2.1.3
% 5.73/2.14 % (3993871)Termination reason: Refutation not found, incomplete strategy
% 5.73/2.14 % (3993871)Time elapsed: 0.002 s
% 5.73/2.14 % (3993871)Peak memory usage: 88 MB
% 5.73/2.14 % (3993871)Instructions burned: 2 (million)
% 5.73/2.14 % (3993839)Also succeeded, but the first one will report.
% 5.73/2.14 % (3993872)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2492627330:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 5.73/2.14 % (3993838)Refutation found. Thanks to Tanya!
% 5.73/2.14 % SZS status Theorem for theBenchmark
% 5.73/2.14 % SZS output start Proof for theBenchmark
% See solution above
% 9.70/2.34 % (3993838)------------------------------
% 9.70/2.34 % (3993838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.70/2.34 % (3993838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.70/2.34 % (3993838)CaDiCaL version: 2.1.3
% 9.70/2.34 % (3993838)Termination reason: Refutation
% 9.70/2.34 % (3993838)Time elapsed: 0.870 s
% 9.70/2.34 % (3993838)Peak memory usage: 132 MB
% 9.70/2.34 % (3993838)Instructions burned: 1310 (million)
% 9.70/2.34 % (3993838)------------------------------
% 9.70/2.34 % (3993838)------------------------------
% 9.70/2.34 % (3993832)Success in time 1.291 s
% 9.70/2.34 % Vampire exiting
%------------------------------------------------------------------------------