%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC302+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 01:03:22 PM UTC 2026
% Result : Theorem 6.71s 1.82s
% Output : Refutation 8.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 27
% Syntax : Number of formulae : 195 ( 39 unt; 16 def)
% Number of atoms : 654 ( 81 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 799 ( 340 ~; 332 |; 63 &)
% ( 19 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 24 ( 22 usr; 17 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-2 aty)
% Number of variables : 154 ( 0 sgn 126 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> leq(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f33,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
=> ~ lt(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).
fof(f80,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X1,X2) = app(X1,X0)
=> X2 = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).
fof(f90,axiom,
! [X0] :
( ssItem(X0)
=> ~ lt(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).
fof(f92,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( leq(X0,X1)
=> ( X0 = X1
| lt(X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax92) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ segmentP(X3,X2)
| ~ totalorderedP(X2)
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ( app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != X0
| ~ lt(X5,X4) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ segmentP(X3,X2)
| ~ totalorderedP(X2)
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ! [X8] :
( ssList(X8)
=> ( app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) != X0
| ~ lt(X5,X4) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& segmentP(X3,X2)
& totalorderedP(X2)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X0
& lt(X5,X4)
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& segmentP(X3,X2)
& totalorderedP(X2)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( app(app(app(app(X6,cons(X4,nil)),X7),cons(X5,nil)),X8) = X0
& lt(X5,X4)
& ssList(X8) )
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X0
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X0
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f111]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| lt(X0,X1)
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f92]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| lt(X0,X1)
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f129]) ).
fof(f133,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f136]) ).
fof(f140,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f141,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f140]) ).
fof(f142,plain,
( sK1 = sK3
& sK0 = sK2
& segmentP(sK3,sK2)
& totalorderedP(sK2)
& sK0 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK8)
& lt(sK5,sK4)
& ssList(sK8)
& ssList(sK7)
& ssList(sK6)
& ssItem(sK5)
& ssItem(sK4)
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8)],[f99]) ).
fof(f155,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f141]) ).
fof(f156,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f155]) ).
fof(f157,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ( ~ leq(sK15(X0),sK16(X0))
& app(app(sK17(X0),cons(sK15(X0),sK18(X0))),cons(sK16(X0),sK19(X0))) = X0
& ssList(sK19(X0))
& ssList(sK18(X0))
& ssList(sK17(X0))
& ssItem(sK16(X0))
& ssItem(sK15(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16,sK17,sK18,sK19]),skolemize(X1,sK15(X0)),skolemize(X2,sK16(X0)),skolemize(X3,sK17(X0)),skolemize(X4,sK18(X0)),skolemize(X5,sK19(X0))],[f156]) ).
fof(f158,plain,
ssList(sK0),
inference(cnf_transformation,[],[f142]) ).
fof(f162,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f142]) ).
fof(f163,plain,
ssItem(sK5),
inference(cnf_transformation,[],[f142]) ).
fof(f164,plain,
ssList(sK6),
inference(cnf_transformation,[],[f142]) ).
fof(f165,plain,
ssList(sK7),
inference(cnf_transformation,[],[f142]) ).
fof(f166,plain,
ssList(sK8),
inference(cnf_transformation,[],[f142]) ).
fof(f167,plain,
lt(sK5,sK4),
inference(cnf_transformation,[],[f142]) ).
fof(f168,plain,
sK0 = app(app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,nil)),sK8),
inference(cnf_transformation,[],[f142]) ).
fof(f169,plain,
totalorderedP(sK2),
inference(cnf_transformation,[],[f142]) ).
fof(f171,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f142]) ).
fof(f183,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f188,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f189,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f190,plain,
! [X2,X0,X1] :
( app(X1,X2) != app(X1,X0)
| X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f194,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f195,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f210,plain,
! [X0,X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f212,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f214,plain,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f222,plain,
! [X10,X0,X8,X6,X9,X7] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f237,plain,
! [X10,X8,X6,X9,X7] :
( ~ totalorderedP(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| leq(X6,X7)
| ~ ssList(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f222]) ).
fof(f240,plain,
( ~ lt(sK4,sK5)
| ~ ssItem(sK5)
| ~ ssItem(sK4) ),
inference(resolution,[],[f167,f214]) ).
fof(f241,plain,
( ~ lt(sK4,sK5)
| ~ ssItem(sK4) ),
inference(forward_subsumption_resolution,[],[f240,f163]) ).
fof(f242,plain,
~ lt(sK4,sK5),
inference(forward_subsumption_resolution,[],[f241,f162]) ).
fof(f254,plain,
totalorderedP(sK0),
inference(superposition,[],[f169,f171]) ).
fof(f259,plain,
( sK0 = app(app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,nil)),sK8)
| ~ ssList(sK7)
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK6) ),
inference(superposition,[],[f168,f188]) ).
fof(f261,plain,
( sK0 = app(app(app(sK6,cons(sK4,nil)),sK7),app(cons(sK5,nil),sK8))
| ~ ssList(sK8)
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7)) ),
inference(superposition,[],[f168,f188]) ).
fof(f287,plain,
( sK0 = app(app(app(sK6,cons(sK4,nil)),sK7),app(cons(sK5,nil),sK8))
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7)) ),
inference(forward_subsumption_resolution,[],[f261,f166]) ).
fof(f289,plain,
( sK0 = app(app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,nil)),sK8)
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK6) ),
inference(forward_subsumption_resolution,[],[f259,f165]) ).
fof(f291,definition,
( spl20_3
<=> ssList(app(app(sK6,cons(sK4,nil)),sK7)) ),
introduced(definition,[new_symbols(definition,[spl20_3])],[avatar_definition]) ).
fof(f292,plain,
( ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| spl20_3 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f294,definition,
( spl20_4
<=> ssList(cons(sK5,nil)) ),
introduced(definition,[new_symbols(definition,[spl20_4])],[avatar_definition]) ).
fof(f295,plain,
( ~ ssList(cons(sK5,nil))
| spl20_4 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f297,definition,
( spl20_5
<=> sK0 = app(app(app(sK6,cons(sK4,nil)),sK7),app(cons(sK5,nil),sK8)) ),
introduced(definition,[new_symbols(definition,[spl20_5])],[avatar_definition]) ).
fof(f298,plain,
( sK0 = app(app(app(sK6,cons(sK4,nil)),sK7),app(cons(sK5,nil),sK8))
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f341,plain,
( ~ spl20_3
| ~ spl20_4
| spl20_5 ),
inference(avatar_split_clause,[],[f287,f297,f294,f291]) ).
fof(f349,plain,
( sK0 = app(app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,nil)),sK8)
| ~ ssList(cons(sK4,nil)) ),
inference(forward_subsumption_resolution,[],[f289,f164]) ).
fof(f355,definition,
( spl20_19
<=> ssList(cons(sK4,nil)) ),
introduced(definition,[new_symbols(definition,[spl20_19])],[avatar_definition]) ).
fof(f356,plain,
( ~ ssList(cons(sK4,nil))
| spl20_19 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f358,definition,
( spl20_20
<=> sK0 = app(app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,nil)),sK8) ),
introduced(definition,[new_symbols(definition,[spl20_20])],[avatar_definition]) ).
fof(f359,plain,
( sK0 = app(app(app(sK6,app(cons(sK4,nil),sK7)),cons(sK5,nil)),sK8)
| ~ spl20_20 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f360,plain,
( ~ spl20_19
| spl20_20 ),
inference(avatar_split_clause,[],[f349,f358,f355]) ).
fof(f363,plain,
( sK4 = sK5
| ~ leq(sK4,sK5)
| ~ ssItem(sK5)
| ~ ssItem(sK4) ),
inference(resolution,[],[f242,f210]) ).
fof(f366,plain,
( sK4 = sK5
| ~ leq(sK4,sK5)
| ~ ssItem(sK4) ),
inference(forward_subsumption_resolution,[],[f363,f163]) ).
fof(f370,plain,
( sK4 = sK5
| ~ leq(sK4,sK5) ),
inference(forward_subsumption_resolution,[],[f366,f162]) ).
fof(f374,definition,
( spl20_21
<=> leq(sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl20_21])],[avatar_definition]) ).
fof(f375,plain,
( ~ leq(sK4,sK5)
| spl20_21 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f377,definition,
( spl20_22
<=> sK4 = sK5 ),
introduced(definition,[new_symbols(definition,[spl20_22])],[avatar_definition]) ).
fof(f378,plain,
( sK4 = sK5
| ~ spl20_22 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f380,plain,
( ~ spl20_21
| spl20_22 ),
inference(avatar_split_clause,[],[f370,f377,f374]) ).
fof(f396,plain,
( ~ ssItem(sK5)
| ~ ssList(nil)
| spl20_4 ),
inference(resolution,[],[f295,f183]) ).
fof(f397,plain,
( ~ ssList(nil)
| spl20_4 ),
inference(forward_subsumption_resolution,[],[f396,f163]) ).
fof(f398,plain,
( $false
| spl20_4 ),
inference(forward_subsumption_resolution,[],[f397,f195]) ).
fof(f399,plain,
spl20_4,
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f403,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| spl20_19 ),
inference(resolution,[],[f356,f183]) ).
fof(f404,plain,
( ~ ssList(nil)
| spl20_19 ),
inference(forward_subsumption_resolution,[],[f403,f162]) ).
fof(f405,plain,
( $false
| spl20_19 ),
inference(forward_subsumption_resolution,[],[f404,f195]) ).
fof(f406,plain,
spl20_19,
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f411,plain,
( ~ ssList(app(sK6,app(cons(sK4,nil),sK7)))
| ~ ssList(sK7)
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| spl20_3 ),
inference(superposition,[],[f292,f188]) ).
fof(f412,plain,
( ~ ssList(app(sK6,app(cons(sK4,nil),sK7)))
| ~ ssList(cons(sK4,nil))
| ~ ssList(sK6)
| spl20_3 ),
inference(forward_subsumption_resolution,[],[f411,f165]) ).
fof(f414,plain,
( ~ ssList(app(sK6,app(cons(sK4,nil),sK7)))
| ~ ssList(cons(sK4,nil))
| spl20_3 ),
inference(forward_subsumption_resolution,[],[f412,f164]) ).
fof(f417,definition,
( spl20_25
<=> ssList(app(sK6,app(cons(sK4,nil),sK7))) ),
introduced(definition,[new_symbols(definition,[spl20_25])],[avatar_definition]) ).
fof(f418,plain,
( ~ ssList(app(sK6,app(cons(sK4,nil),sK7)))
| spl20_25 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f419,plain,
( ~ spl20_19
| ~ spl20_25
| spl20_3 ),
inference(avatar_split_clause,[],[f414,f291,f417,f355]) ).
fof(f485,plain,
( sK0 = app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,sK8))
| ~ ssItem(sK5)
| ~ ssList(sK8)
| ~ spl20_5 ),
inference(superposition,[],[f298,f189]) ).
fof(f491,plain,
( ! [X0] :
( sK0 != app(app(app(sK6,cons(sK4,nil)),sK7),X0)
| app(cons(sK5,nil),sK8) = X0
| ~ ssList(app(cons(sK5,nil),sK8))
| ~ ssList(app(app(sK6,cons(sK4,nil)),sK7))
| ~ ssList(X0) )
| ~ spl20_5 ),
inference(superposition,[],[f190,f298]) ).
fof(f505,definition,
( spl20_34
<=> ssList(app(cons(sK5,nil),sK8)) ),
introduced(definition,[new_symbols(definition,[spl20_34])],[avatar_definition]) ).
fof(f506,plain,
( ~ ssList(app(cons(sK5,nil),sK8))
| spl20_34 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f521,definition,
( spl20_38
<=> ! [X0] :
( sK0 != app(app(app(sK6,cons(sK4,nil)),sK7),X0)
| ~ ssList(X0)
| app(cons(sK5,nil),sK8) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl20_38])],[avatar_definition]) ).
fof(f522,plain,
( ! [X0] :
( sK0 != app(app(app(sK6,cons(sK4,nil)),sK7),X0)
| ~ ssList(X0)
| app(cons(sK5,nil),sK8) = X0 )
| ~ spl20_38 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f524,plain,
( ~ spl20_3
| ~ spl20_34
| spl20_38
| ~ spl20_5 ),
inference(avatar_split_clause,[],[f491,f297,f521,f505,f291]) ).
fof(f531,plain,
( sK0 = app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,sK8))
| ~ ssList(sK8)
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f485,f163]) ).
fof(f544,plain,
( sK0 = app(app(app(sK6,cons(sK4,nil)),sK7),cons(sK5,sK8))
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f531,f166]) ).
fof(f713,definition,
( spl20_58
<=> ssList(app(cons(sK4,nil),sK7)) ),
introduced(definition,[new_symbols(definition,[spl20_58])],[avatar_definition]) ).
fof(f714,plain,
( ~ ssList(app(cons(sK4,nil),sK7))
| spl20_58 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f808,plain,
( sK0 = app(app(app(sK6,cons(sK4,sK7)),cons(sK5,nil)),sK8)
| ~ ssItem(sK4)
| ~ ssList(sK7)
| ~ spl20_20 ),
inference(superposition,[],[f359,f189]) ).
fof(f834,plain,
( sK0 = app(app(app(sK6,cons(sK4,sK7)),cons(sK5,nil)),sK8)
| ~ ssList(sK7)
| ~ spl20_20 ),
inference(forward_subsumption_resolution,[],[f808,f162]) ).
fof(f856,plain,
( sK0 = app(app(app(sK6,cons(sK4,sK7)),cons(sK5,nil)),sK8)
| ~ spl20_20 ),
inference(forward_subsumption_resolution,[],[f834,f165]) ).
fof(f905,plain,
( ~ ssList(cons(sK4,sK7))
| ~ ssItem(sK4)
| ~ ssList(sK7)
| spl20_58 ),
inference(superposition,[],[f714,f189]) ).
fof(f908,plain,
( ~ ssItem(sK4)
| ~ ssList(sK7)
| spl20_58 ),
inference(forward_subsumption_resolution,[],[f905,f183]) ).
fof(f911,plain,
( ~ ssList(sK7)
| spl20_58 ),
inference(forward_subsumption_resolution,[],[f908,f162]) ).
fof(f914,plain,
( $false
| spl20_58 ),
inference(forward_subsumption_resolution,[],[f911,f165]) ).
fof(f915,plain,
spl20_58,
inference(avatar_contradiction_clause,[],[f914]) ).
fof(f1176,plain,
( ~ ssList(app(cons(sK4,nil),sK7))
| ~ ssList(sK6)
| spl20_25 ),
inference(resolution,[],[f418,f194]) ).
fof(f1181,plain,
( ~ ssList(app(cons(sK4,nil),sK7))
| spl20_25 ),
inference(forward_subsumption_resolution,[],[f1176,f164]) ).
fof(f1184,plain,
( ~ spl20_58
| spl20_25 ),
inference(avatar_split_clause,[],[f1181,f417,f713]) ).
fof(f1334,definition,
( spl20_118
<=> ssList(cons(sK5,sK8)) ),
introduced(definition,[new_symbols(definition,[spl20_118])],[avatar_definition]) ).
fof(f1335,plain,
( ~ ssList(cons(sK5,sK8))
| spl20_118 ),
inference(avatar_component_clause,[],[f1334]) ).
fof(f1376,plain,
( ~ ssItem(sK5)
| ~ ssList(sK8)
| spl20_118 ),
inference(resolution,[],[f1335,f183]) ).
fof(f1377,plain,
( ~ ssList(sK8)
| spl20_118 ),
inference(forward_subsumption_resolution,[],[f1376,f163]) ).
fof(f1378,plain,
( $false
| spl20_118 ),
inference(forward_subsumption_resolution,[],[f1377,f166]) ).
fof(f1379,plain,
spl20_118,
inference(avatar_contradiction_clause,[],[f1378]) ).
fof(f1381,plain,
( sK0 = app(app(sK6,cons(sK4,sK7)),app(cons(sK5,nil),sK8))
| ~ ssList(sK8)
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(sK6,cons(sK4,sK7)))
| ~ spl20_20 ),
inference(superposition,[],[f856,f188]) ).
fof(f1410,plain,
( sK0 = app(app(sK6,cons(sK4,sK7)),app(cons(sK5,nil),sK8))
| ~ ssList(cons(sK5,nil))
| ~ ssList(app(sK6,cons(sK4,sK7)))
| ~ spl20_20 ),
inference(forward_subsumption_resolution,[],[f1381,f166]) ).
fof(f1413,definition,
( spl20_129
<=> ssList(app(sK6,cons(sK4,sK7))) ),
introduced(definition,[new_symbols(definition,[spl20_129])],[avatar_definition]) ).
fof(f1414,plain,
( ~ ssList(app(sK6,cons(sK4,sK7)))
| spl20_129 ),
inference(avatar_component_clause,[],[f1413]) ).
fof(f1416,definition,
( spl20_130
<=> sK0 = app(app(sK6,cons(sK4,sK7)),app(cons(sK5,nil),sK8)) ),
introduced(definition,[new_symbols(definition,[spl20_130])],[avatar_definition]) ).
fof(f1417,plain,
( sK0 = app(app(sK6,cons(sK4,sK7)),app(cons(sK5,nil),sK8))
| ~ spl20_130 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f1433,plain,
( ~ spl20_129
| ~ spl20_4
| spl20_130
| ~ spl20_20 ),
inference(avatar_split_clause,[],[f1410,f358,f1416,f294,f1413]) ).
fof(f1435,definition,
( spl20_134
<=> ssList(cons(sK4,sK7)) ),
introduced(definition,[new_symbols(definition,[spl20_134])],[avatar_definition]) ).
fof(f1436,plain,
( ~ ssList(cons(sK4,sK7))
| spl20_134 ),
inference(avatar_component_clause,[],[f1435]) ).
fof(f1441,plain,
( ~ ssItem(sK4)
| ~ ssList(sK7)
| spl20_134 ),
inference(resolution,[],[f1436,f183]) ).
fof(f1442,plain,
( ~ ssList(sK7)
| spl20_134 ),
inference(forward_subsumption_resolution,[],[f1441,f162]) ).
fof(f1443,plain,
( $false
| spl20_134 ),
inference(forward_subsumption_resolution,[],[f1442,f165]) ).
fof(f1444,plain,
spl20_134,
inference(avatar_contradiction_clause,[],[f1443]) ).
fof(f1458,plain,
( ~ ssList(cons(sK4,sK7))
| ~ ssList(sK6)
| spl20_129 ),
inference(resolution,[],[f1414,f194]) ).
fof(f1459,plain,
( ~ ssList(cons(sK4,sK7))
| spl20_129 ),
inference(forward_subsumption_resolution,[],[f1458,f164]) ).
fof(f1460,plain,
( ~ spl20_134
| spl20_129 ),
inference(avatar_split_clause,[],[f1459,f1413,f1435]) ).
fof(f1502,plain,
( ~ ssList(cons(sK5,sK8))
| ~ ssItem(sK5)
| ~ ssList(sK8)
| spl20_34 ),
inference(superposition,[],[f506,f189]) ).
fof(f1505,plain,
( ~ ssItem(sK5)
| ~ ssList(sK8)
| spl20_34 ),
inference(forward_subsumption_resolution,[],[f1502,f183]) ).
fof(f1508,plain,
( ~ ssList(sK8)
| spl20_34 ),
inference(forward_subsumption_resolution,[],[f1505,f163]) ).
fof(f1511,plain,
( $false
| spl20_34 ),
inference(forward_subsumption_resolution,[],[f1508,f166]) ).
fof(f1512,plain,
spl20_34,
inference(avatar_contradiction_clause,[],[f1511]) ).
fof(f2252,plain,
( sK0 != sK0
| ~ ssList(cons(sK5,sK8))
| app(cons(sK5,nil),sK8) = cons(sK5,sK8)
| ~ spl20_5
| ~ spl20_38 ),
inference(superposition,[],[f522,f544]) ).
fof(f2256,plain,
( ~ ssList(cons(sK5,sK8))
| app(cons(sK5,nil),sK8) = cons(sK5,sK8)
| ~ spl20_5
| ~ spl20_38 ),
inference(trivial_inequality_removal,[],[f2252]) ).
fof(f2264,definition,
( spl20_223
<=> app(cons(sK5,nil),sK8) = cons(sK5,sK8) ),
introduced(definition,[new_symbols(definition,[spl20_223])],[avatar_definition]) ).
fof(f2265,plain,
( app(cons(sK5,nil),sK8) = cons(sK5,sK8)
| ~ spl20_223 ),
inference(avatar_component_clause,[],[f2264]) ).
fof(f2266,plain,
( spl20_223
| ~ spl20_118
| ~ spl20_5
| ~ spl20_38 ),
inference(avatar_split_clause,[],[f2256,f521,f297,f1334,f2264]) ).
fof(f4490,plain,
( sK0 = app(app(sK6,cons(sK4,sK7)),cons(sK5,sK8))
| ~ spl20_130
| ~ spl20_223 ),
inference(forward_demodulation,[],[f1417,f2265]) ).
fof(f4552,plain,
( lt(sK4,sK4)
| ~ spl20_22 ),
inference(superposition,[],[f167,f378]) ).
fof(f4660,plain,
( ~ ssItem(sK4)
| ~ spl20_22 ),
inference(resolution,[],[f4552,f212]) ).
fof(f4666,plain,
( $false
| ~ spl20_22 ),
inference(forward_subsumption_resolution,[],[f4660,f162]) ).
fof(f4667,plain,
~ spl20_22,
inference(avatar_contradiction_clause,[],[f4666]) ).
fof(f5496,plain,
( ~ totalorderedP(sK0)
| ~ ssList(sK8)
| ~ ssList(sK7)
| ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| leq(sK4,sK5)
| ~ ssList(sK0)
| ~ spl20_130
| ~ spl20_223 ),
inference(superposition,[],[f237,f4490]) ).
fof(f5520,plain,
( ~ ssList(sK8)
| ~ ssList(sK7)
| ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| leq(sK4,sK5)
| ~ ssList(sK0)
| ~ spl20_130
| ~ spl20_223 ),
inference(forward_subsumption_resolution,[],[f5496,f254]) ).
fof(f5540,plain,
( ~ ssList(sK7)
| ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| leq(sK4,sK5)
| ~ ssList(sK0)
| ~ spl20_130
| ~ spl20_223 ),
inference(forward_subsumption_resolution,[],[f5520,f166]) ).
fof(f5551,plain,
( ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssItem(sK4)
| leq(sK4,sK5)
| ~ ssList(sK0)
| ~ spl20_130
| ~ spl20_223 ),
inference(forward_subsumption_resolution,[],[f5540,f165]) ).
fof(f5553,plain,
( ~ ssItem(sK5)
| ~ ssItem(sK4)
| leq(sK4,sK5)
| ~ ssList(sK0)
| ~ spl20_130
| ~ spl20_223 ),
inference(forward_subsumption_resolution,[],[f5551,f164]) ).
fof(f5554,plain,
( ~ ssItem(sK4)
| leq(sK4,sK5)
| ~ ssList(sK0)
| ~ spl20_130
| ~ spl20_223 ),
inference(forward_subsumption_resolution,[],[f5553,f163]) ).
fof(f5555,plain,
( leq(sK4,sK5)
| ~ ssList(sK0)
| ~ spl20_130
| ~ spl20_223 ),
inference(forward_subsumption_resolution,[],[f5554,f162]) ).
fof(f5556,plain,
( ~ ssList(sK0)
| spl20_21
| ~ spl20_130
| ~ spl20_223 ),
inference(forward_subsumption_resolution,[],[f5555,f375]) ).
fof(f5557,plain,
( $false
| spl20_21
| ~ spl20_130
| ~ spl20_223 ),
inference(forward_subsumption_resolution,[],[f5556,f158]) ).
fof(f5558,plain,
( spl20_21
| ~ spl20_130
| ~ spl20_223 ),
inference(avatar_contradiction_clause,[],[f5557]) ).
cnf(s13,plain,
( ~ spl20_3
| ~ spl20_4
| spl20_5 ),
inference(sat_conversion,[],[f341]) ).
cnf(s16,plain,
( ~ spl20_19
| spl20_20 ),
inference(sat_conversion,[],[f360]) ).
cnf(s18,plain,
( ~ spl20_21
| spl20_22 ),
inference(sat_conversion,[],[f380]) ).
cnf(s21,plain,
spl20_4,
inference(sat_conversion,[],[f399]) ).
cnf(s22,plain,
spl20_19,
inference(sat_conversion,[],[f406]) ).
cnf(s25,plain,
( spl20_3
| ~ spl20_19
| ~ spl20_25 ),
inference(sat_conversion,[],[f419]) ).
cnf(s38,plain,
( ~ spl20_3
| ~ spl20_5
| ~ spl20_34
| spl20_38 ),
inference(sat_conversion,[],[f524]) ).
cnf(s90,plain,
spl20_58,
inference(sat_conversion,[],[f915]) ).
cnf(s131,plain,
( spl20_25
| ~ spl20_58 ),
inference(sat_conversion,[],[f1184]) ).
cnf(s158,plain,
spl20_118,
inference(sat_conversion,[],[f1379]) ).
cnf(s166,plain,
( ~ spl20_4
| ~ spl20_20
| ~ spl20_129
| spl20_130 ),
inference(sat_conversion,[],[f1433]) ).
cnf(s168,plain,
spl20_134,
inference(sat_conversion,[],[f1444]) ).
cnf(s171,plain,
( spl20_129
| ~ spl20_134 ),
inference(sat_conversion,[],[f1460]) ).
cnf(s177,plain,
spl20_34,
inference(sat_conversion,[],[f1512]) ).
cnf(s288,plain,
( ~ spl20_5
| ~ spl20_38
| ~ spl20_118
| spl20_223 ),
inference(sat_conversion,[],[f2266]) ).
cnf(s616,plain,
~ spl20_22,
inference(sat_conversion,[],[f4667]) ).
cnf(s776,plain,
( spl20_21
| ~ spl20_130
| ~ spl20_223 ),
inference(sat_conversion,[],[f5558]) ).
cnf(s809,plain,
spl20_129,
inference(rat,[],[s171,s168]) ).
cnf(s811,plain,
( ~ spl20_4
| ~ spl20_20
| spl20_130 ),
inference(rat,[],[s166,s809]) ).
cnf(s824,plain,
spl20_25,
inference(rat,[],[s131,s90]) ).
cnf(s843,plain,
( ~ spl20_3
| ~ spl20_5
| spl20_38 ),
inference(rat,[],[s38,s177]) ).
cnf(s849,plain,
( spl20_3
| ~ spl20_19 ),
inference(rat,[],[s25,s824]) ).
cnf(s855,plain,
spl20_3,
inference(rat,[],[s849,s22]) ).
cnf(s878,plain,
~ spl20_21,
inference(rat,[],[s18,s616]) ).
cnf(s879,plain,
spl20_20,
inference(rat,[],[s16,s22]) ).
cnf(s882,plain,
spl20_130,
inference(rat,[],[s811,s21,s879]) ).
cnf(s891,plain,
~ spl20_223,
inference(rat,[],[s776,s878,s882]) ).
cnf(s963,plain,
spl20_5,
inference(rat,[],[s13,s21,s855]) ).
cnf(s964,plain,
~ spl20_38,
inference(rat,[],[s288,s891,s158,s963]) ).
cnf(s980,plain,
$false,
inference(rat,[],[s843,s855,s964,s963]) ).
fof(f5559,plain,
$false,
inference(avatar_sat_refutation,[],[s980]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC302+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n011.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 08:59:15 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 6.71/1.82 % (3258246)Detected formulas, will run a generic FOF schedule.
% 6.71/1.82 % (3258255)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4030352957:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.71/1.82 % (3258256)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3148949259:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.71/1.82 % (3258257)dis-21_1_sil=8000:lcm=predicate:random_seed=257074446: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)
% 6.71/1.82 % (3258251)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=4218022745:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.71/1.82 % (3258252)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=2245759742:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.71/1.82 % (3258253)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=865039019:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.71/1.82 % (3258254)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=355525576:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.71/1.82 % (3258255)Instruction limit reached!
% 6.71/1.82 % (3258255)------------------------------
% 6.71/1.82 % (3258255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.82 % (3258255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.82 % (3258255)CaDiCaL version: 2.1.3
% 6.71/1.82 % (3258255)Termination reason: Instruction limit
% 6.71/1.82 % (3258255)Termination phase: Saturation
% 6.71/1.82 % (3258255)Time elapsed: 0.039 s
% 6.71/1.82 % (3258255)Peak memory usage: 88 MB
% 6.71/1.82 % (3258255)Instructions burned: 122 (million)
% 6.71/1.82 % (3258257)Instruction limit reached!
% 6.71/1.82 % (3258257)------------------------------
% 6.71/1.82 % (3258257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.82 % (3258257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.82 % (3258257)CaDiCaL version: 2.1.3
% 6.71/1.82 % (3258257)Termination reason: Instruction limit
% 6.71/1.82 % (3258257)Termination phase: Saturation
% 6.71/1.82 % (3258257)Time elapsed: 0.069 s
% 6.71/1.82 % (3258257)Peak memory usage: 91 MB
% 6.71/1.82 % (3258257)Instructions burned: 130 (million)
% 6.71/1.82 % (3258254)Instruction limit reached!
% 6.71/1.82 % (3258254)------------------------------
% 6.71/1.82 % (3258254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.82 % (3258254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.82 % (3258254)CaDiCaL version: 2.1.3
% 6.71/1.82 % (3258254)Termination reason: Instruction limit
% 6.71/1.82 % (3258254)Termination phase: Saturation
% 6.71/1.82 % (3258254)Time elapsed: 0.070 s
% 6.71/1.82 % (3258254)Peak memory usage: 89 MB
% 6.71/1.82 % (3258254)Instructions burned: 110 (million)
% 6.71/1.82 % (3258256)Instruction limit reached!
% 6.71/1.82 % (3258256)------------------------------
% 6.71/1.82 % (3258256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.82 % (3258256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.82 % (3258256)CaDiCaL version: 2.1.3
% 6.71/1.82 % (3258256)Termination reason: Instruction limit
% 6.71/1.82 % (3258256)Termination phase: Saturation
% 6.71/1.82 % (3258256)Time elapsed: 0.088 s
% 6.71/1.82 % (3258256)Peak memory usage: 90 MB
% 6.71/1.82 % (3258256)Instructions burned: 141 (million)
% 6.71/1.82 % (3258265)lrs+10_1_sil=8000:sp=occurrence:random_seed=1141581932:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.71/1.82 % (3258268)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=132521702:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.71/1.82 % (3258267)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1889789849:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.71/1.82 % (3258266)lrs+10_1_sil=32000:urr=on:br=off:random_seed=14809291:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.71/1.82 % (3258268)Instruction limit reached!
% 6.71/1.82 % (3258268)------------------------------
% 6.71/1.82 % (3258268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.82 % (3258268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.82 % (3258268)CaDiCaL version: 2.1.3
% 6.71/1.82 % (3258268)Termination reason: Instruction limit
% 6.71/1.82 % (3258268)Termination phase: Saturation
% 6.71/1.82 % (3258268)Time elapsed: 0.061 s
% 6.71/1.82 % (3258268)Peak memory usage: 94 MB
% 6.71/1.82 % (3258268)Instructions burned: 249 (million)
% 6.71/1.82 % (3258266)Instruction limit reached!
% 6.71/1.82 % (3258266)------------------------------
% 6.71/1.82 % (3258266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.82 % (3258266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.82 % (3258266)CaDiCaL version: 2.1.3
% 6.71/1.82 % (3258266)Termination reason: Instruction limit
% 6.71/1.82 % (3258266)Termination phase: Saturation
% 6.71/1.82 % (3258266)Time elapsed: 0.084 s
% 6.71/1.82 % (3258266)Peak memory usage: 96 MB
% 6.71/1.82 % (3258266)Instructions burned: 158 (million)
% 6.71/1.82 % (3258265)Instruction limit reached!
% 6.71/1.82 % (3258265)------------------------------
% 6.71/1.82 % (3258265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.82 % (3258265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.82 % (3258265)CaDiCaL version: 2.1.3
% 6.71/1.82 % (3258265)Termination reason: Instruction limit
% 6.71/1.82 % (3258265)Termination phase: Saturation
% 6.71/1.82 % (3258265)Time elapsed: 0.165 s
% 6.71/1.82 % (3258265)Peak memory usage: 93 MB
% 6.71/1.82 % (3258265)Instructions burned: 286 (million)
% 6.71/1.82 % (3258273)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1743020804:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.71/1.82 % (3258267)Instruction limit reached!
% 6.71/1.82 % (3258267)------------------------------
% 6.71/1.82 % (3258267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.82 % (3258267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.82 % (3258267)CaDiCaL version: 2.1.3
% 6.71/1.82 % (3258267)Termination reason: Instruction limit
% 6.71/1.82 % (3258267)Termination phase: Saturation
% 6.71/1.82 % (3258267)Time elapsed: 0.205 s
% 6.71/1.82 % (3258267)Peak memory usage: 92 MB
% 6.71/1.82 % (3258267)Instructions burned: 327 (million)
% 6.71/1.82 % (3258274)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1272415180:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.71/1.82 % (3258273)Instruction limit reached!
% 6.71/1.82 % (3258273)------------------------------
% 6.71/1.82 % (3258273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.82 % (3258273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.82 % (3258273)CaDiCaL version: 2.1.3
% 6.71/1.82 % (3258273)Termination reason: Instruction limit
% 6.71/1.82 % (3258273)Termination phase: Saturation
% 6.71/1.82 % (3258273)Time elapsed: 0.093 s
% 6.71/1.82 % (3258273)Peak memory usage: 90 MB
% 6.71/1.82 % (3258273)Instructions burned: 294 (million)
% 6.71/1.82 % (3258275)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3424310718:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.71/1.82 % (3258275)Instruction limit reached!
% 6.71/1.82 % (3258275)------------------------------
% 6.71/1.82 % (3258275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.82 % (3258275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.82 % (3258275)CaDiCaL version: 2.1.3
% 6.71/1.82 % (3258275)Termination reason: Instruction limit
% 6.71/1.82 % (3258275)Termination phase: Saturation
% 6.71/1.82 % (3258275)Time elapsed: 0.074 s
% 6.71/1.82 % (3258275)Peak memory usage: 91 MB
% 6.71/1.82 % (3258275)Instructions burned: 114 (million)
% 6.71/1.82 % (3258277)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=485202205:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.71/1.82 % (3258280)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3429012254:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.71/1.82 % (3258280)Instruction limit reached!
% 6.71/1.82 % (3258280)------------------------------
% 6.71/1.82 % (3258280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.82 % (3258280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.82 % (3258280)CaDiCaL version: 2.1.3
% 6.71/1.82 % (3258280)Termination reason: Instruction limit
% 6.71/1.82 % (3258280)Termination phase: Saturation
% 6.71/1.82 % (3258280)Time elapsed: 0.036 s
% 6.71/1.82 % (3258280)Peak memory usage: 89 MB
% 6.71/1.82 % (3258280)Instructions burned: 114 (million)
% 6.71/1.82 % (3258277)Instruction limit reached!
% 6.71/1.82 % (3258277)------------------------------
% 6.71/1.82 % (3258277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.82 % (3258277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.82 % (3258277)CaDiCaL version: 2.1.3
% 6.71/1.82 % (3258277)Termination reason: Instruction limit
% 6.71/1.82 % (3258277)Termination phase: Saturation
% 6.71/1.82 % (3258277)Time elapsed: 0.064 s
% 6.71/1.82 % (3258277)Peak memory usage: 90 MB
% 6.71/1.82 % (3258277)Instructions burned: 128 (million)
% 6.71/1.82 % (3258281)lrs+10_1_sil=8000:sp=occurrence:random_seed=501383094:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.71/1.82 % (3258284)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3663783326:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.71/1.82 % (3258285)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2170839722:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.71/1.82 % (3258284)First to succeed.
% 6.71/1.82 % (3258284)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3258246"
% 6.71/1.82 % (3258253)Also succeeded, but the first one will report.
% 6.71/1.82 % (3258284)Refutation found. Thanks to Tanya!
% 6.71/1.82 % SZS status Theorem for theBenchmark
% 6.71/1.82 % SZS output start Proof for theBenchmark
% See solution above
% 8.76/2.02 % (3258284)------------------------------
% 8.76/2.02 % (3258284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.02 % (3258284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.02 % (3258284)CaDiCaL version: 2.1.3
% 8.76/2.02 % (3258284)Termination reason: Refutation
% 8.76/2.02 % (3258284)Time elapsed: 0.061 s
% 8.76/2.02 % (3258284)Peak memory usage: 92 MB
% 8.76/2.02 % (3258284)Instructions burned: 183 (million)
% 8.76/2.02 % (3258284)------------------------------
% 8.76/2.02 % (3258284)------------------------------
% 8.76/2.02 % (3258246)Success in time 1.162 s
% 8.76/2.02 % Vampire exiting
%------------------------------------------------------------------------------