%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS162+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 11:41:48 AM UTC 2026
% Result : Theorem 3.13s 1.60s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 23
% Syntax : Number of formulae : 178 ( 16 unt; 15 def)
% Number of atoms : 913 ( 276 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 1170 ( 435 ~; 574 |; 134 &)
% ( 17 <=>; 7 =>; 0 <=; 3 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 15 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 198 ( 0 sgn 130 !; 68 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f14,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f15,axiom,
! [X0,X1] :
( rp(X0,X1)
=> cA(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f16,axiom,
! [X0,X1] :
( rq(X0,X1)
=> cB(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f17,axiom,
! [X0] :
~ ( cB(X0)
& cA(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f18,axiom,
! [X0,X1] :
( rq(X0,X1)
=> rr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f19,axiom,
! [X0,X1] :
( rp(X0,X1)
=> rr(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f20,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ( ? [X1,X2] :
( rp(X0,X1)
& rp(X0,X2)
& X1 != X2 )
& ? [X1,X2,X3] :
( rq(X0,X1)
& rq(X0,X2)
& rq(X0,X3)
& X1 != X2
& X1 != X3
& X2 != X3 ) )
=> ? [X1,X2,X3,X4,X5] :
( rr(X0,X1)
& rr(X0,X2)
& rr(X0,X3)
& rr(X0,X4)
& rr(X0,X5)
& X1 != X2
& X1 != X3
& X1 != X4
& X1 != X5
& X2 != X3
& X2 != X4
& X2 != X5
& X3 != X4
& X3 != X5
& X4 != X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f21,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ( ? [X1,X2] :
( rp(X0,X1)
& rp(X0,X2)
& X1 != X2 )
& ? [X1,X2,X3] :
( rq(X0,X1)
& rq(X0,X2)
& rq(X0,X3)
& X1 != X2
& X1 != X3
& X2 != X3 ) )
=> ? [X1,X2,X3,X4,X5] :
( rr(X0,X1)
& rr(X0,X2)
& rr(X0,X3)
& rr(X0,X4)
& rr(X0,X5)
& X1 != X2
& X1 != X3
& X1 != X4
& X1 != X5
& X2 != X3
& X2 != X4
& X2 != X5
& X3 != X4
& X3 != X5
& X4 != X5 ) ) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f22,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2] :
( ( ? [X3,X4] :
( rp(X2,X3)
& rp(X2,X4)
& X3 != X4 )
& ? [X5,X6,X7] :
( rq(X2,X5)
& rq(X2,X6)
& rq(X2,X7)
& X5 != X6
& X5 != X7
& X6 != X7 ) )
=> ? [X8,X9,X10,X11,X12] :
( rr(X2,X8)
& rr(X2,X9)
& rr(X2,X10)
& rr(X2,X11)
& rr(X2,X12)
& X8 != X9
& X8 != X10
& X8 != X11
& X8 != X12
& X9 != X10
& X9 != X11
& X9 != X12
& X10 != X11
& X10 != X12
& X11 != X12 ) ) ),
inference(rectify,[],[f21]) ).
fof(f23,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2] :
( ! [X8,X9,X10,X11,X12] :
( ~ rr(X2,X8)
| ~ rr(X2,X9)
| ~ rr(X2,X10)
| ~ rr(X2,X11)
| ~ rr(X2,X12)
| X8 = X9
| X8 = X10
| X8 = X11
| X8 = X12
| X9 = X10
| X9 = X11
| X9 = X12
| X10 = X11
| X10 = X12
| X11 = X12 )
& ? [X3,X4] :
( rp(X2,X3)
& rp(X2,X4)
& X3 != X4 )
& ? [X5,X6,X7] :
( rq(X2,X5)
& rq(X2,X6)
& rq(X2,X7)
& X5 != X6
& X5 != X7
& X6 != X7 ) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f24,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2] :
( ! [X8,X9,X10,X11,X12] :
( ~ rr(X2,X8)
| ~ rr(X2,X9)
| ~ rr(X2,X10)
| ~ rr(X2,X11)
| ~ rr(X2,X12)
| X8 = X9
| X8 = X10
| X8 = X11
| X8 = X12
| X9 = X10
| X9 = X11
| X9 = X12
| X10 = X11
| X10 = X12
| X11 = X12 )
& ? [X3,X4] :
( rp(X2,X3)
& rp(X2,X4)
& X3 != X4 )
& ? [X5,X6,X7] :
( rq(X2,X5)
& rq(X2,X6)
& rq(X2,X7)
& X5 != X6
& X5 != X7
& X6 != X7 ) ) ),
inference(flattening,[],[f23]) ).
fof(f29,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rp(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f30,plain,
! [X0,X1] :
( cA(X1)
| ~ rp(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f35,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rq(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f36,plain,
! [X0,X1] :
( cB(X1)
| ~ rq(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f49,plain,
! [X0] :
( ~ cB(X0)
| ~ cA(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f54,definition,
! [X2] :
( ? [X5,X6,X7] :
( rq(X2,X5)
& rq(X2,X6)
& rq(X2,X7)
& X5 != X6
& X5 != X7
& X6 != X7 )
| ~ sP0(X2) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ? [X2] :
( ! [X8,X9,X10,X11,X12] :
( ~ rr(X2,X8)
| ~ rr(X2,X9)
| ~ rr(X2,X10)
| ~ rr(X2,X11)
| ~ rr(X2,X12)
| X8 = X9
| X8 = X10
| X8 = X11
| X8 = X12
| X9 = X10
| X9 = X11
| X9 = X12
| X10 = X11
| X10 = X12
| X11 = X12 )
& ? [X3,X4] :
( rp(X2,X3)
& rp(X2,X4)
& X3 != X4 )
& sP0(X2) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f56,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| sP1 ),
inference(definition_folding,[],[f24,f55,f54]) ).
fof(f57,plain,
( ? [X2] :
( ! [X8,X9,X10,X11,X12] :
( ~ rr(X2,X8)
| ~ rr(X2,X9)
| ~ rr(X2,X10)
| ~ rr(X2,X11)
| ~ rr(X2,X12)
| X8 = X9
| X8 = X10
| X8 = X11
| X8 = X12
| X9 = X10
| X9 = X11
| X9 = X12
| X10 = X11
| X10 = X12
| X11 = X12 )
& ? [X3,X4] :
( rp(X2,X3)
& rp(X2,X4)
& X3 != X4 )
& sP0(X2) )
| ~ sP1 ),
inference(nnf_transformation,[],[f55]) ).
fof(f58,plain,
( ? [X0] :
( ! [X1,X2,X3,X4,X5] :
( ~ rr(X0,X1)
| ~ rr(X0,X2)
| ~ rr(X0,X3)
| ~ rr(X0,X4)
| ~ rr(X0,X5)
| X1 = X2
| X1 = X3
| X1 = X4
| X1 = X5
| X2 = X3
| X2 = X4
| X2 = X5
| X3 = X4
| X3 = X5
| X4 = X5 )
& ? [X6,X7] :
( rp(X0,X6)
& rp(X0,X7)
& X6 != X7 )
& sP0(X0) )
| ~ sP1 ),
inference(rectify,[],[f57]) ).
fof(f59,plain,
( ( ! [X1,X2,X3,X4,X5] :
( ~ rr(sK2,X1)
| ~ rr(sK2,X2)
| ~ rr(sK2,X3)
| ~ rr(sK2,X4)
| ~ rr(sK2,X5)
| X1 = X2
| X1 = X3
| X1 = X4
| X1 = X5
| X2 = X3
| X2 = X4
| X2 = X5
| X3 = X4
| X3 = X5
| X4 = X5 )
& rp(sK2,sK3)
& rp(sK2,sK4)
& sK3 != sK4
& sP0(sK2) )
| ~ sP1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X6,sK3),skolemize(X7,sK4)],[f58]) ).
fof(f60,plain,
! [X2] :
( ? [X5,X6,X7] :
( rq(X2,X5)
& rq(X2,X6)
& rq(X2,X7)
& X5 != X6
& X5 != X7
& X6 != X7 )
| ~ sP0(X2) ),
inference(nnf_transformation,[],[f54]) ).
fof(f61,plain,
! [X0] :
( ? [X1,X2,X3] :
( rq(X0,X1)
& rq(X0,X2)
& rq(X0,X3)
& X1 != X2
& X1 != X3
& X2 != X3 )
| ~ sP0(X0) ),
inference(rectify,[],[f60]) ).
fof(f62,plain,
! [X0] :
( ( rq(X0,sK5(X0))
& rq(X0,sK6(X0))
& rq(X0,sK7(X0))
& sK5(X0) != sK6(X0)
& sK5(X0) != sK7(X0)
& sK6(X0) != sK7(X0) )
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X1,sK5(X0)),skolemize(X2,sK6(X0)),skolemize(X3,sK7(X0))],[f61]) ).
fof(f63,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| sP1 ),
inference(nnf_transformation,[],[f56]) ).
fof(f64,plain,
( ~ cowlThing(sK8)
| cowlNothing(sK8)
| ( ( xsd_integer(sK9)
| ~ xsd_string(sK9) )
& ( ~ xsd_integer(sK9)
| xsd_string(sK9) ) )
| sP1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X0,sK8),skolemize(X1,sK9)],[f63]) ).
fof(f65,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f66,plain,
( sP0(sK2)
| ~ sP1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f67,plain,
( sK3 != sK4
| ~ sP1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f68,plain,
( rp(sK2,sK4)
| ~ sP1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f69,plain,
( rp(sK2,sK3)
| ~ sP1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f70,plain,
! [X2,X3,X1,X4,X5] :
( ~ rr(sK2,X1)
| ~ rr(sK2,X2)
| ~ rr(sK2,X3)
| ~ rr(sK2,X4)
| ~ rr(sK2,X5)
| X1 = X2
| X1 = X3
| X1 = X4
| X1 = X5
| X2 = X3
| X2 = X4
| X2 = X5
| X3 = X4
| X3 = X5
| X4 = X5
| ~ sP1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f71,plain,
! [X0] :
( sK6(X0) != sK7(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f72,plain,
! [X0] :
( sK5(X0) != sK7(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f73,plain,
! [X0] :
( sK5(X0) != sK6(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f74,plain,
! [X0] :
( rq(X0,sK7(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f75,plain,
! [X0] :
( rq(X0,sK6(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f76,plain,
! [X0] :
( rq(X0,sK5(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f77,plain,
( ~ cowlThing(sK8)
| cowlNothing(sK8)
| ~ xsd_integer(sK9)
| xsd_string(sK9)
| sP1 ),
inference(cnf_transformation,[],[f64]) ).
fof(f78,plain,
( ~ cowlThing(sK8)
| cowlNothing(sK8)
| xsd_integer(sK9)
| ~ xsd_string(sK9)
| sP1 ),
inference(cnf_transformation,[],[f64]) ).
fof(f79,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f13]) ).
fof(f80,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f13]) ).
fof(f83,plain,
! [X0,X1] :
( ~ rp(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f84,plain,
! [X0,X1] :
( ~ rp(X0,X1)
| cA(X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f87,plain,
! [X0,X1] :
( ~ rq(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f88,plain,
! [X0,X1] :
( ~ rq(X0,X1)
| cB(X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f93,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f94,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f97,plain,
! [X0] :
( ~ cB(X0)
| ~ cA(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f112,plain,
( ~ cowlThing(sK8)
| cowlNothing(sK8)
| ~ xsd_integer(sK9)
| sP1 ),
inference(forward_subsumption_resolution,[],[f77,f93]) ).
fof(f113,plain,
( ~ cowlThing(sK8)
| cowlNothing(sK8)
| xsd_integer(sK9)
| sP1 ),
inference(forward_subsumption_resolution,[],[f78,f94]) ).
fof(f115,definition,
( spl10_1
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f119,definition,
( spl10_2
<=> sP0(sK2) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f121,plain,
( sP0(sK2)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,plain,
( ~ spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f66,f119,f115]) ).
fof(f124,definition,
( spl10_3
<=> sK3 = sK4 ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f126,plain,
( sK3 != sK4
| spl10_3 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( ~ spl10_1
| ~ spl10_3 ),
inference(avatar_split_clause,[],[f67,f124,f115]) ).
fof(f129,definition,
( spl10_4
<=> rp(sK2,sK4) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f131,plain,
( rp(sK2,sK4)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f132,plain,
( ~ spl10_1
| spl10_4 ),
inference(avatar_split_clause,[],[f68,f129,f115]) ).
fof(f134,definition,
( spl10_5
<=> rp(sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).
fof(f136,plain,
( rp(sK2,sK3)
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f137,plain,
( ~ spl10_1
| spl10_5 ),
inference(avatar_split_clause,[],[f69,f134,f115]) ).
fof(f139,definition,
( spl10_6
<=> ! [X2,X3,X4,X5,X1] :
( ~ rr(sK2,X1)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rr(sK2,X5)
| ~ rr(sK2,X4)
| ~ rr(sK2,X3)
| ~ rr(sK2,X2) ) ),
introduced(definition,[new_symbols(definition,[spl10_6])],[avatar_definition]) ).
fof(f140,plain,
( ! [X2,X3,X1,X4,X5] :
( ~ rr(sK2,X5)
| X4 = X5
| X3 = X5
| X3 = X4
| X2 = X5
| X2 = X4
| X2 = X3
| X1 = X5
| X1 = X4
| X1 = X3
| X1 = X2
| ~ rr(sK2,X1)
| ~ rr(sK2,X4)
| ~ rr(sK2,X3)
| ~ rr(sK2,X2) )
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f141,plain,
( ~ spl10_1
| spl10_6 ),
inference(avatar_split_clause,[],[f70,f139,f115]) ).
fof(f142,plain,
( cowlNothing(sK8)
| ~ xsd_integer(sK9)
| sP1 ),
inference(forward_subsumption_resolution,[],[f112,f80]) ).
fof(f143,plain,
( cowlNothing(sK8)
| xsd_integer(sK9)
| sP1 ),
inference(forward_subsumption_resolution,[],[f113,f80]) ).
fof(f144,plain,
( ~ xsd_integer(sK9)
| sP1 ),
inference(forward_subsumption_resolution,[],[f142,f79]) ).
fof(f145,plain,
( xsd_integer(sK9)
| sP1 ),
inference(forward_subsumption_resolution,[],[f143,f79]) ).
fof(f147,definition,
( spl10_7
<=> xsd_integer(sK9) ),
introduced(definition,[new_symbols(definition,[spl10_7])],[avatar_definition]) ).
fof(f150,plain,
( spl10_1
| ~ spl10_7 ),
inference(avatar_split_clause,[],[f144,f147,f115]) ).
fof(f151,plain,
( spl10_1
| spl10_7 ),
inference(avatar_split_clause,[],[f145,f147,f115]) ).
fof(f153,plain,
( cA(sK4)
| ~ spl10_4 ),
inference(resolution,[],[f84,f131]) ).
fof(f154,plain,
( cA(sK3)
| ~ spl10_5 ),
inference(resolution,[],[f84,f136]) ).
fof(f155,plain,
! [X0] :
( cB(sK7(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f74,f88]) ).
fof(f156,plain,
! [X0] :
( cB(sK6(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f75,f88]) ).
fof(f157,plain,
! [X0] :
( ~ cA(sK7(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f155,f97]) ).
fof(f158,plain,
! [X0] :
( cB(sK5(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f76,f88]) ).
fof(f159,plain,
! [X0] :
( ~ cA(sK6(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f156,f97]) ).
fof(f160,plain,
( rr(sK2,sK4)
| ~ spl10_4 ),
inference(resolution,[],[f83,f131]) ).
fof(f161,plain,
( rr(sK2,sK3)
| ~ spl10_5 ),
inference(resolution,[],[f83,f136]) ).
fof(f162,plain,
! [X0] :
( rr(X0,sK7(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f87,f74]) ).
fof(f163,plain,
! [X0] :
( rr(X0,sK6(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f87,f75]) ).
fof(f164,plain,
! [X0] :
( rr(X0,sK5(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f87,f76]) ).
fof(f165,plain,
! [X0] :
( ~ cA(sK5(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f158,f97]) ).
fof(f166,plain,
( ! [X2,X3,X0,X1] :
( ~ rr(sK2,X3)
| sK4 = X1
| X0 = X1
| sK4 = X2
| X0 = X2
| X1 = X2
| sK4 = X3
| X0 = X3
| X1 = X3
| X2 = X3
| sK4 = X0
| ~ rr(sK2,X0)
| ~ rr(sK2,X1)
| ~ rr(sK2,X2) )
| ~ spl10_4
| ~ spl10_6 ),
inference(resolution,[],[f140,f160]) ).
fof(f175,plain,
( ! [X2,X0,X1] :
( sK4 = X0
| X0 = X1
| sK4 = X2
| X1 = X2
| X0 = X2
| sK3 = sK4
| sK3 = X1
| sK3 = X0
| sK3 = X2
| sK4 = X1
| ~ rr(sK2,X1)
| ~ rr(sK2,X0)
| ~ rr(sK2,X2) )
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6 ),
inference(resolution,[],[f166,f161]) ).
fof(f183,plain,
( ! [X2,X0,X1] :
( ~ rr(sK2,X2)
| X0 = X1
| sK4 = X2
| X1 = X2
| X0 = X2
| sK3 = X1
| sK3 = X0
| sK3 = X2
| sK4 = X1
| ~ rr(sK2,X1)
| ~ rr(sK2,X0)
| sK4 = X0 )
| spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6 ),
inference(forward_subsumption_resolution,[],[f175,f126]) ).
fof(f185,definition,
( spl10_8
<=> sK4 = sK5(sK2) ),
introduced(definition,[new_symbols(definition,[spl10_8])],[avatar_definition]) ).
fof(f186,plain,
( sK4 != sK5(sK2)
| spl10_8 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f187,plain,
( sK4 = sK5(sK2)
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f193,definition,
( spl10_10
<=> sK4 = sK6(sK2) ),
introduced(definition,[new_symbols(definition,[spl10_10])],[avatar_definition]) ).
fof(f194,plain,
( sK4 != sK6(sK2)
| spl10_10 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f195,plain,
( sK4 = sK6(sK2)
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f201,definition,
( spl10_12
<=> sK4 = sK7(sK2) ),
introduced(definition,[new_symbols(definition,[spl10_12])],[avatar_definition]) ).
fof(f202,plain,
( sK4 != sK7(sK2)
| spl10_12 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f203,plain,
( sK4 = sK7(sK2)
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f233,plain,
( ~ cA(sK4)
| ~ sP0(sK2)
| ~ spl10_8 ),
inference(superposition,[],[f165,f187]) ).
fof(f238,plain,
( ~ sP0(sK2)
| ~ spl10_4
| ~ spl10_8 ),
inference(forward_subsumption_resolution,[],[f233,f153]) ).
fof(f239,plain,
( $false
| ~ spl10_2
| ~ spl10_4
| ~ spl10_8 ),
inference(forward_subsumption_resolution,[],[f238,f121]) ).
fof(f240,plain,
( ~ spl10_2
| ~ spl10_4
| ~ spl10_8 ),
inference(avatar_contradiction_clause,[],[f239]) ).
fof(f242,definition,
( spl10_14
<=> sK3 = sK5(sK2) ),
introduced(definition,[new_symbols(definition,[spl10_14])],[avatar_definition]) ).
fof(f243,plain,
( sK3 != sK5(sK2)
| spl10_14 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f244,plain,
( sK3 = sK5(sK2)
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f304,plain,
( ~ cA(sK4)
| ~ sP0(sK2)
| ~ spl10_10 ),
inference(superposition,[],[f159,f195]) ).
fof(f310,plain,
( ~ sP0(sK2)
| ~ spl10_4
| ~ spl10_10 ),
inference(forward_subsumption_resolution,[],[f304,f153]) ).
fof(f311,plain,
( $false
| ~ spl10_2
| ~ spl10_4
| ~ spl10_10 ),
inference(forward_subsumption_resolution,[],[f310,f121]) ).
fof(f312,plain,
( ~ spl10_2
| ~ spl10_4
| ~ spl10_10 ),
inference(avatar_contradiction_clause,[],[f311]) ).
fof(f314,definition,
( spl10_16
<=> sK3 = sK6(sK2) ),
introduced(definition,[new_symbols(definition,[spl10_16])],[avatar_definition]) ).
fof(f315,plain,
( sK3 != sK6(sK2)
| spl10_16 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f316,plain,
( sK3 = sK6(sK2)
| ~ spl10_16 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f351,plain,
( ~ cA(sK4)
| ~ sP0(sK2)
| ~ spl10_12 ),
inference(superposition,[],[f157,f203]) ).
fof(f358,plain,
( ~ sP0(sK2)
| ~ spl10_4
| ~ spl10_12 ),
inference(forward_subsumption_resolution,[],[f351,f153]) ).
fof(f359,plain,
( $false
| ~ spl10_2
| ~ spl10_4
| ~ spl10_12 ),
inference(forward_subsumption_resolution,[],[f358,f121]) ).
fof(f360,plain,
( ~ spl10_2
| ~ spl10_4
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f359]) ).
fof(f362,definition,
( spl10_18
<=> sK3 = sK7(sK2) ),
introduced(definition,[new_symbols(definition,[spl10_18])],[avatar_definition]) ).
fof(f363,plain,
( sK3 != sK7(sK2)
| spl10_18 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f364,plain,
( sK3 = sK7(sK2)
| ~ spl10_18 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f385,plain,
( ~ cA(sK3)
| ~ sP0(sK2)
| ~ spl10_18 ),
inference(superposition,[],[f157,f364]) ).
fof(f392,plain,
( ~ sP0(sK2)
| ~ spl10_5
| ~ spl10_18 ),
inference(forward_subsumption_resolution,[],[f385,f154]) ).
fof(f393,plain,
( $false
| ~ spl10_2
| ~ spl10_5
| ~ spl10_18 ),
inference(forward_subsumption_resolution,[],[f392,f121]) ).
fof(f394,plain,
( ~ spl10_2
| ~ spl10_5
| ~ spl10_18 ),
inference(avatar_contradiction_clause,[],[f393]) ).
fof(f399,plain,
( ! [X0,X1] :
( X0 = X1
| sK4 = sK5(sK2)
| sK5(sK2) = X1
| sK5(sK2) = X0
| sK3 = X1
| sK3 = X0
| sK3 = sK5(sK2)
| sK4 = X1
| ~ rr(sK2,X1)
| ~ rr(sK2,X0)
| sK4 = X0
| ~ sP0(sK2) )
| spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6 ),
inference(resolution,[],[f183,f164]) ).
fof(f402,plain,
( ! [X0,X1] :
( X0 = X1
| sK5(sK2) = X1
| sK5(sK2) = X0
| sK3 = X1
| sK3 = X0
| sK3 = sK5(sK2)
| sK4 = X1
| ~ rr(sK2,X1)
| ~ rr(sK2,X0)
| sK4 = X0
| ~ sP0(sK2) )
| spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| spl10_8 ),
inference(forward_subsumption_resolution,[],[f399,f186]) ).
fof(f405,plain,
( ! [X0,X1] :
( X0 = X1
| sK5(sK2) = X1
| sK5(sK2) = X0
| sK3 = X1
| sK3 = X0
| sK4 = X1
| ~ rr(sK2,X1)
| ~ rr(sK2,X0)
| sK4 = X0
| ~ sP0(sK2) )
| spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| spl10_8
| spl10_14 ),
inference(forward_subsumption_resolution,[],[f402,f243]) ).
fof(f408,plain,
( ! [X0,X1] :
( ~ rr(sK2,X1)
| sK5(sK2) = X1
| sK5(sK2) = X0
| sK3 = X1
| sK3 = X0
| sK4 = X1
| X0 = X1
| ~ rr(sK2,X0)
| sK4 = X0 )
| ~ spl10_2
| spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| spl10_8
| spl10_14 ),
inference(forward_subsumption_resolution,[],[f405,f121]) ).
fof(f414,plain,
( ! [X0] :
( sK6(sK2) = sK5(sK2)
| sK5(sK2) = X0
| sK3 = sK6(sK2)
| sK3 = X0
| sK4 = sK6(sK2)
| sK6(sK2) = X0
| ~ rr(sK2,X0)
| sK4 = X0
| ~ sP0(sK2) )
| ~ spl10_2
| spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| spl10_8
| spl10_14 ),
inference(resolution,[],[f408,f163]) ).
fof(f419,plain,
( ! [X0] :
( sK5(sK2) = X0
| sK3 = sK6(sK2)
| sK3 = X0
| sK4 = sK6(sK2)
| sK6(sK2) = X0
| ~ rr(sK2,X0)
| sK4 = X0
| ~ sP0(sK2) )
| ~ spl10_2
| spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| spl10_8
| spl10_14 ),
inference(forward_subsumption_resolution,[],[f414,f73]) ).
fof(f421,plain,
( ! [X0] :
( sK5(sK2) = X0
| sK3 = X0
| sK4 = sK6(sK2)
| sK6(sK2) = X0
| ~ rr(sK2,X0)
| sK4 = X0
| ~ sP0(sK2) )
| ~ spl10_2
| spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| spl10_8
| spl10_14
| spl10_16 ),
inference(forward_subsumption_resolution,[],[f419,f315]) ).
fof(f423,plain,
( ! [X0] :
( sK5(sK2) = X0
| sK3 = X0
| sK6(sK2) = X0
| ~ rr(sK2,X0)
| sK4 = X0
| ~ sP0(sK2) )
| ~ spl10_2
| spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| spl10_8
| spl10_10
| spl10_14
| spl10_16 ),
inference(forward_subsumption_resolution,[],[f421,f194]) ).
fof(f425,plain,
( ! [X0] :
( ~ rr(sK2,X0)
| sK3 = X0
| sK6(sK2) = X0
| sK5(sK2) = X0
| sK4 = X0 )
| ~ spl10_2
| spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| spl10_8
| spl10_10
| spl10_14
| spl10_16 ),
inference(forward_subsumption_resolution,[],[f423,f121]) ).
fof(f442,plain,
( sK3 = sK7(sK2)
| sK7(sK2) = sK6(sK2)
| sK7(sK2) = sK5(sK2)
| sK4 = sK7(sK2)
| ~ sP0(sK2)
| ~ spl10_2
| spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| spl10_8
| spl10_10
| spl10_14
| spl10_16 ),
inference(resolution,[],[f425,f162]) ).
fof(f445,plain,
( sK7(sK2) = sK6(sK2)
| sK7(sK2) = sK5(sK2)
| sK4 = sK7(sK2)
| ~ sP0(sK2)
| ~ spl10_2
| spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| spl10_8
| spl10_10
| spl10_14
| spl10_16
| spl10_18 ),
inference(forward_subsumption_resolution,[],[f442,f363]) ).
fof(f446,plain,
( sK7(sK2) = sK5(sK2)
| sK4 = sK7(sK2)
| ~ sP0(sK2)
| ~ spl10_2
| spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| spl10_8
| spl10_10
| spl10_14
| spl10_16
| spl10_18 ),
inference(forward_subsumption_resolution,[],[f445,f71]) ).
fof(f447,plain,
( sK4 = sK7(sK2)
| ~ sP0(sK2)
| ~ spl10_2
| spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| spl10_8
| spl10_10
| spl10_14
| spl10_16
| spl10_18 ),
inference(forward_subsumption_resolution,[],[f446,f72]) ).
fof(f448,plain,
( ~ sP0(sK2)
| ~ spl10_2
| spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| spl10_8
| spl10_10
| spl10_12
| spl10_14
| spl10_16
| spl10_18 ),
inference(forward_subsumption_resolution,[],[f447,f202]) ).
fof(f449,plain,
( $false
| ~ spl10_2
| spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| spl10_8
| spl10_10
| spl10_12
| spl10_14
| spl10_16
| spl10_18 ),
inference(forward_subsumption_resolution,[],[f448,f121]) ).
fof(f450,plain,
( ~ spl10_2
| spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| spl10_8
| spl10_10
| spl10_12
| spl10_14
| spl10_16
| spl10_18 ),
inference(avatar_contradiction_clause,[],[f449]) ).
fof(f453,plain,
( ~ cA(sK3)
| ~ sP0(sK2)
| ~ spl10_14 ),
inference(superposition,[],[f165,f244]) ).
fof(f458,plain,
( ~ sP0(sK2)
| ~ spl10_5
| ~ spl10_14 ),
inference(forward_subsumption_resolution,[],[f453,f154]) ).
fof(f459,plain,
( $false
| ~ spl10_2
| ~ spl10_5
| ~ spl10_14 ),
inference(forward_subsumption_resolution,[],[f458,f121]) ).
fof(f460,plain,
( ~ spl10_2
| ~ spl10_5
| ~ spl10_14 ),
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f470,plain,
( ~ cA(sK3)
| ~ sP0(sK2)
| ~ spl10_16 ),
inference(superposition,[],[f159,f316]) ).
fof(f476,plain,
( ~ sP0(sK2)
| ~ spl10_5
| ~ spl10_16 ),
inference(forward_subsumption_resolution,[],[f470,f154]) ).
fof(f477,plain,
( $false
| ~ spl10_2
| ~ spl10_5
| ~ spl10_16 ),
inference(forward_subsumption_resolution,[],[f476,f121]) ).
fof(f478,plain,
( ~ spl10_2
| ~ spl10_5
| ~ spl10_16 ),
inference(avatar_contradiction_clause,[],[f477]) ).
cnf(s1,plain,
( ~ spl10_1
| spl10_2 ),
inference(sat_conversion,[],[f122]) ).
cnf(s2,plain,
( ~ spl10_1
| ~ spl10_3 ),
inference(sat_conversion,[],[f127]) ).
cnf(s3,plain,
( ~ spl10_1
| spl10_4 ),
inference(sat_conversion,[],[f132]) ).
cnf(s4,plain,
( ~ spl10_1
| spl10_5 ),
inference(sat_conversion,[],[f137]) ).
cnf(s5,plain,
( ~ spl10_1
| spl10_6 ),
inference(sat_conversion,[],[f141]) ).
cnf(s6,plain,
( spl10_1
| ~ spl10_7 ),
inference(sat_conversion,[],[f150]) ).
cnf(s7,plain,
( spl10_1
| spl10_7 ),
inference(sat_conversion,[],[f151]) ).
cnf(s11,plain,
( ~ spl10_2
| ~ spl10_4
| ~ spl10_8 ),
inference(sat_conversion,[],[f240]) ).
cnf(s13,plain,
( ~ spl10_2
| ~ spl10_4
| ~ spl10_10 ),
inference(sat_conversion,[],[f312]) ).
cnf(s17,plain,
( ~ spl10_2
| ~ spl10_4
| ~ spl10_12 ),
inference(sat_conversion,[],[f360]) ).
cnf(s22,plain,
( ~ spl10_2
| ~ spl10_5
| ~ spl10_18 ),
inference(sat_conversion,[],[f394]) ).
cnf(s23,plain,
( ~ spl10_2
| spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| spl10_8
| spl10_10
| spl10_12
| spl10_14
| spl10_16
| spl10_18 ),
inference(sat_conversion,[],[f450]) ).
cnf(s24,plain,
( ~ spl10_2
| ~ spl10_5
| ~ spl10_14 ),
inference(sat_conversion,[],[f460]) ).
cnf(s25,plain,
( ~ spl10_2
| ~ spl10_5
| ~ spl10_16 ),
inference(sat_conversion,[],[f478]) ).
cnf(s26,plain,
spl10_1,
inference(rat,[],[s6,s7]) ).
cnf(s27,plain,
spl10_6,
inference(rat,[],[s5,s26]) ).
cnf(s28,plain,
spl10_5,
inference(rat,[],[s4,s26]) ).
cnf(s29,plain,
spl10_4,
inference(rat,[],[s3,s26]) ).
cnf(s30,plain,
~ spl10_3,
inference(rat,[],[s2,s26]) ).
cnf(s31,plain,
spl10_2,
inference(rat,[],[s1,s26]) ).
cnf(s32,plain,
~ spl10_16,
inference(rat,[],[s25,s28,s31]) ).
cnf(s33,plain,
~ spl10_14,
inference(rat,[],[s24,s28,s31]) ).
cnf(s34,plain,
~ spl10_18,
inference(rat,[],[s22,s28,s31]) ).
cnf(s35,plain,
~ spl10_12,
inference(rat,[],[s17,s29,s31]) ).
cnf(s36,plain,
~ spl10_10,
inference(rat,[],[s13,s29,s31]) ).
cnf(s37,plain,
~ spl10_8,
inference(rat,[],[s11,s29,s31]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s23,s34,s32,s33,s35,s36,s30,s27,s28,s29,s37,s31]) ).
fof(f479,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS162+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n005.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 13:32:32 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.13/1.60 % (3990544)Detected formulas, will run a generic FOF schedule.
% 3.13/1.60 % (3990555)dis-21_1_sil=8000:lcm=predicate:random_seed=604751031: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)
% 3.13/1.60 % (3990555)Refutation not found, incomplete strategy
% 3.13/1.60 % (3990555)------------------------------
% 3.13/1.60 % (3990555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.13/1.60 % (3990555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/1.60 % (3990555)CaDiCaL version: 2.1.3
% 3.13/1.60 % (3990555)Termination reason: Refutation not found, incomplete strategy
% 3.13/1.60 % (3990555)Time elapsed: 0.004 s
% 3.13/1.60 % (3990555)Peak memory usage: 88 MB
% 3.13/1.60 % (3990555)Instructions burned: 11 (million)
% 3.13/1.60 % (3990549)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=3340732949:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.13/1.60 % (3990550)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=2146823643:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.13/1.60 % (3990554)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3960381232:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.13/1.60 % (3990553)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2007121168:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.13/1.60 % (3990552)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2141550797:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.13/1.60 % (3990551)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=2413827323:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.13/1.60 % (3990552)Refutation not found, incomplete strategy
% 3.13/1.60 % (3990552)------------------------------
% 3.13/1.60 % (3990552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.13/1.60 % (3990552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/1.60 % (3990552)CaDiCaL version: 2.1.3
% 3.13/1.60 % (3990552)Termination reason: Refutation not found, incomplete strategy
% 3.13/1.60 % (3990552)Time elapsed: 0.002 s
% 3.13/1.60 % (3990552)Peak memory usage: 88 MB
% 3.13/1.60 % (3990552)Instructions burned: 1 (million)
% 3.13/1.60 % (3990553)Instruction limit reached!
% 3.13/1.60 % (3990553)------------------------------
% 3.13/1.60 % (3990553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.13/1.60 % (3990553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/1.60 % (3990553)CaDiCaL version: 2.1.3
% 3.13/1.60 % (3990553)Termination reason: Instruction limit
% 3.13/1.60 % (3990553)Termination phase: Saturation
% 3.13/1.60 % (3990553)Time elapsed: 0.047 s
% 3.13/1.60 % (3990553)Peak memory usage: 87 MB
% 3.13/1.60 % (3990553)Instructions burned: 121 (million)
% 3.13/1.60 % (3990554)Instruction limit reached!
% 3.13/1.60 % (3990554)------------------------------
% 3.13/1.60 % (3990554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.13/1.60 % (3990554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/1.60 % (3990554)CaDiCaL version: 2.1.3
% 3.13/1.60 % (3990554)Termination reason: Instruction limit
% 3.13/1.60 % (3990554)Termination phase: Saturation
% 3.13/1.60 % (3990554)Time elapsed: 0.054 s
% 3.13/1.60 % (3990554)Peak memory usage: 88 MB
% 3.13/1.60 % (3990554)Instructions burned: 141 (million)
% 3.13/1.60 % (3990555)------------------------------
% 3.13/1.60 % (3990555)------------------------------
% 3.13/1.60 % (3990563)lrs+10_1_sil=8000:sp=occurrence:random_seed=2564084468:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.13/1.60 % (3990564)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3544340747:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.13/1.60 % (3990564)Refutation not found, incomplete strategy
% 3.13/1.60 % (3990564)------------------------------
% 3.13/1.60 % (3990564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.13/1.60 % (3990564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/1.60 % (3990564)CaDiCaL version: 2.1.3
% 3.13/1.60 % (3990564)Termination reason: Refutation not found, incomplete strategy
% 3.13/1.60 % (3990564)Time elapsed: 0.019 s
% 3.13/1.60 % (3990564)Peak memory usage: 88 MB
% 3.13/1.60 % (3990564)Instructions burned: 41 (million)
% 3.13/1.60 % (3990565)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2257447358:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.13/1.60 % (3990552)------------------------------
% 3.13/1.60 % (3990552)------------------------------
% 3.13/1.60 % (3990563)First to succeed.
% 3.13/1.60 % (3990563)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3990544"
% 3.13/1.60 % (3990565)Refutation not found, incomplete strategy
% 3.13/1.60 % (3990565)------------------------------
% 3.13/1.60 % (3990565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.13/1.60 % (3990565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/1.60 % (3990565)CaDiCaL version: 2.1.3
% 3.13/1.60 % (3990565)Termination reason: Refutation not found, incomplete strategy
% 3.13/1.60 % (3990565)Time elapsed: 0.058 s
% 3.13/1.60 % (3990565)Peak memory usage: 89 MB
% 3.13/1.60 % (3990565)Instructions burned: 290 (million)
% 3.13/1.60 % (3990569)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=2699364405:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.13/1.60 % (3990565)------------------------------
% 3.13/1.60 % (3990565)------------------------------
% 3.13/1.60 % (3990564)------------------------------
% 3.13/1.60 % (3990564)------------------------------
% 3.13/1.60 % (3990563)Refutation found. Thanks to Tanya!
% 3.13/1.60 % SZS status Theorem for theBenchmark
% 3.13/1.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.80 % (3990563)------------------------------
% 0.18/1.80 % (3990563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.80 % (3990563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.80 % (3990563)CaDiCaL version: 2.1.3
% 0.18/1.80 % (3990563)Termination reason: Refutation
% 0.18/1.80 % (3990563)Time elapsed: 0.065 s
% 0.18/1.80 % (3990563)Peak memory usage: 89 MB
% 0.18/1.80 % (3990563)Instructions burned: 159 (million)
% 0.18/1.80 % (3990563)------------------------------
% 0.18/1.80 % (3990563)------------------------------
% 0.18/1.80 % (3990544)Success in time 0.716 s
% 0.18/1.80 % Vampire exiting
%------------------------------------------------------------------------------