%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC340+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 : n012.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 01:03:32 PM UTC 2026
% Result : Theorem 2.77s 0.81s
% Output : Refutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 109 ( 17 unt; 8 def)
% Number of atoms : 475 ( 40 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 586 ( 220 ~; 252 |; 74 &)
% ( 16 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 9 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-2 aty)
% Number of variables : 136 ( 0 sgn 108 !; 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(f12,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderedP(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
=> lt(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f93,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
<=> ( X0 != X1
& leq(X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax93) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ segmentP(X3,X2)
| ~ strictorderedP(X2)
| ( segmentP(X1,X0)
& totalorderedP(X0) ) ) ) ) ) ),
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)
| ~ strictorderedP(X2)
| ( segmentP(X1,X0)
& totalorderedP(X0) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& segmentP(X3,X2)
& strictorderedP(X2)
& ( ~ segmentP(X1,X0)
| ~ totalorderedP(X0) )
& 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)
& strictorderedP(X2)
& ( ~ segmentP(X1,X0)
| ~ totalorderedP(X0) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f112,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(f113,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,[],[f112]) ).
fof(f116,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(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,[],[f12]) ).
fof(f117,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(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,[],[f116]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( ( lt(X0,X1)
<=> ( X0 != X1
& leq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f169,plain,
( sK1 = sK3
& sK0 = sK2
& segmentP(sK3,sK2)
& strictorderedP(sK2)
& ( ~ segmentP(sK1,sK0)
| ~ totalorderedP(sK0) )
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f99]) ).
fof(f176,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,[],[f113]) ).
fof(f177,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,[],[f176]) ).
fof(f178,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ( ~ leq(sK6(X0),sK7(X0))
& app(app(sK8(X0),cons(sK6(X0),sK9(X0))),cons(sK7(X0),sK10(X0))) = X0
& ssList(sK10(X0))
& ssList(sK9(X0))
& ssList(sK8(X0))
& ssItem(sK7(X0))
& ssItem(sK6(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,[sK6,sK7,sK8,sK9,sK10]),skolemize(X1,sK6(X0)),skolemize(X2,sK7(X0)),skolemize(X3,sK8(X0)),skolemize(X4,sK9(X0)),skolemize(X5,sK10(X0))],[f177]) ).
fof(f181,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(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] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f117]) ).
fof(f182,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(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] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f181]) ).
fof(f183,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ( ~ lt(sK11(X0),sK12(X0))
& app(app(sK13(X0),cons(sK11(X0),sK14(X0))),cons(sK12(X0),sK15(X0))) = X0
& ssList(sK15(X0))
& ssList(sK14(X0))
& ssList(sK13(X0))
& ssItem(sK12(X0))
& ssItem(sK11(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15]),skolemize(X1,sK11(X0)),skolemize(X2,sK12(X0)),skolemize(X3,sK13(X0)),skolemize(X4,sK14(X0)),skolemize(X5,sK15(X0))],[f182]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1) )
& ( ( X0 != X1
& leq(X0,X1) )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f152]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1) )
& ( ( X0 != X1
& leq(X0,X1) )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f189]) ).
fof(f192,plain,
ssList(sK0),
inference(cnf_transformation,[],[f169]) ).
fof(f196,plain,
( ~ segmentP(sK1,sK0)
| ~ totalorderedP(sK0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f197,plain,
strictorderedP(sK2),
inference(cnf_transformation,[],[f169]) ).
fof(f198,plain,
segmentP(sK3,sK2),
inference(cnf_transformation,[],[f169]) ).
fof(f199,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f169]) ).
fof(f200,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f169]) ).
fof(f220,plain,
! [X0] :
( ssItem(sK6(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f221,plain,
! [X0] :
( ssItem(sK7(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f222,plain,
! [X0] :
( ssList(sK8(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f223,plain,
! [X0] :
( ssList(sK9(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f224,plain,
! [X0] :
( ssList(sK10(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f225,plain,
! [X0] :
( ~ ssList(X0)
| app(app(sK8(X0),cons(sK6(X0),sK9(X0))),cons(sK7(X0),sK10(X0))) = X0
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f226,plain,
! [X0] :
( ~ leq(sK6(X0),sK7(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f234,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ strictorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f275,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f288,plain,
( ~ segmentP(sK3,sK2)
| ~ totalorderedP(sK2) ),
inference(definition_unfolding,[],[f196,f200,f199,f199]) ).
fof(f290,plain,
ssList(sK2),
inference(definition_unfolding,[],[f192,f199]) ).
fof(f298,plain,
! [X10,X8,X6,X9,X7] :
( ~ strictorderedP(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| lt(X6,X7)
| ~ ssList(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f234]) ).
fof(f305,definition,
( spl22_1
<=> totalorderedP(sK2) ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f307,plain,
( ~ totalorderedP(sK2)
| spl22_1 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f309,definition,
( spl22_2
<=> segmentP(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f312,plain,
( ~ spl22_1
| ~ spl22_2 ),
inference(avatar_split_clause,[],[f288,f309,f305]) ).
fof(f313,plain,
spl22_2,
inference(avatar_split_clause,[],[f198,f309]) ).
fof(f1138,plain,
( sK2 = app(app(sK8(sK2),cons(sK6(sK2),sK9(sK2))),cons(sK7(sK2),sK10(sK2)))
| totalorderedP(sK2) ),
inference(resolution,[],[f225,f290]) ).
fof(f1154,plain,
( sK2 = app(app(sK8(sK2),cons(sK6(sK2),sK9(sK2))),cons(sK7(sK2),sK10(sK2)))
| spl22_1 ),
inference(forward_subsumption_resolution,[],[f1138,f307]) ).
fof(f1987,plain,
( ~ strictorderedP(sK2)
| ~ ssList(sK10(sK2))
| ~ ssList(sK9(sK2))
| ~ ssList(sK8(sK2))
| ~ ssItem(sK7(sK2))
| ~ ssItem(sK6(sK2))
| lt(sK6(sK2),sK7(sK2))
| ~ ssList(sK2)
| spl22_1 ),
inference(superposition,[],[f298,f1154]) ).
fof(f2007,definition,
( spl22_99
<=> ssList(sK8(sK2)) ),
introduced(definition,[new_symbols(definition,[spl22_99])],[avatar_definition]) ).
fof(f2009,plain,
( ~ ssList(sK8(sK2))
| spl22_99 ),
inference(avatar_component_clause,[],[f2007]) ).
fof(f2042,definition,
( spl22_107
<=> ssItem(sK7(sK2)) ),
introduced(definition,[new_symbols(definition,[spl22_107])],[avatar_definition]) ).
fof(f2043,plain,
( ssItem(sK7(sK2))
| ~ spl22_107 ),
inference(avatar_component_clause,[],[f2042]) ).
fof(f2044,plain,
( ~ ssItem(sK7(sK2))
| spl22_107 ),
inference(avatar_component_clause,[],[f2042]) ).
fof(f2046,definition,
( spl22_108
<=> ssList(sK10(sK2)) ),
introduced(definition,[new_symbols(definition,[spl22_108])],[avatar_definition]) ).
fof(f2048,plain,
( ~ ssList(sK10(sK2))
| spl22_108 ),
inference(avatar_component_clause,[],[f2046]) ).
fof(f2057,plain,
( ~ ssList(sK10(sK2))
| ~ ssList(sK9(sK2))
| ~ ssList(sK8(sK2))
| ~ ssItem(sK7(sK2))
| ~ ssItem(sK6(sK2))
| lt(sK6(sK2),sK7(sK2))
| ~ ssList(sK2)
| spl22_1 ),
inference(forward_subsumption_resolution,[],[f1987,f197]) ).
fof(f2063,plain,
( ~ ssList(sK10(sK2))
| ~ ssList(sK9(sK2))
| ~ ssList(sK8(sK2))
| ~ ssItem(sK7(sK2))
| ~ ssItem(sK6(sK2))
| lt(sK6(sK2),sK7(sK2))
| spl22_1 ),
inference(forward_subsumption_resolution,[],[f2057,f290]) ).
fof(f2065,definition,
( spl22_112
<=> lt(sK6(sK2),sK7(sK2)) ),
introduced(definition,[new_symbols(definition,[spl22_112])],[avatar_definition]) ).
fof(f2067,plain,
( lt(sK6(sK2),sK7(sK2))
| ~ spl22_112 ),
inference(avatar_component_clause,[],[f2065]) ).
fof(f2069,definition,
( spl22_113
<=> ssItem(sK6(sK2)) ),
introduced(definition,[new_symbols(definition,[spl22_113])],[avatar_definition]) ).
fof(f2070,plain,
( ssItem(sK6(sK2))
| ~ spl22_113 ),
inference(avatar_component_clause,[],[f2069]) ).
fof(f2071,plain,
( ~ ssItem(sK6(sK2))
| spl22_113 ),
inference(avatar_component_clause,[],[f2069]) ).
fof(f2073,definition,
( spl22_114
<=> ssList(sK9(sK2)) ),
introduced(definition,[new_symbols(definition,[spl22_114])],[avatar_definition]) ).
fof(f2075,plain,
( ~ ssList(sK9(sK2))
| spl22_114 ),
inference(avatar_component_clause,[],[f2073]) ).
fof(f2076,plain,
( spl22_112
| ~ spl22_113
| ~ spl22_107
| ~ spl22_99
| ~ spl22_114
| ~ spl22_108
| spl22_1 ),
inference(avatar_split_clause,[],[f2063,f305,f2046,f2073,f2007,f2042,f2069,f2065]) ).
fof(f2077,plain,
( totalorderedP(sK2)
| ~ ssList(sK2)
| spl22_99 ),
inference(resolution,[],[f2009,f222]) ).
fof(f2078,plain,
( ~ ssList(sK2)
| spl22_1
| spl22_99 ),
inference(forward_subsumption_resolution,[],[f2077,f307]) ).
fof(f2079,plain,
( $false
| spl22_1
| spl22_99 ),
inference(forward_subsumption_resolution,[],[f2078,f290]) ).
fof(f2080,plain,
( spl22_1
| spl22_99 ),
inference(avatar_contradiction_clause,[],[f2079]) ).
fof(f2198,plain,
( totalorderedP(sK2)
| ~ ssList(sK2)
| spl22_114 ),
inference(resolution,[],[f2075,f223]) ).
fof(f2199,plain,
( ~ ssList(sK2)
| spl22_1
| spl22_114 ),
inference(forward_subsumption_resolution,[],[f2198,f307]) ).
fof(f2200,plain,
( $false
| spl22_1
| spl22_114 ),
inference(forward_subsumption_resolution,[],[f2199,f290]) ).
fof(f2201,plain,
( spl22_1
| spl22_114 ),
inference(avatar_contradiction_clause,[],[f2200]) ).
fof(f2233,plain,
( totalorderedP(sK2)
| ~ ssList(sK2)
| spl22_107 ),
inference(resolution,[],[f2044,f221]) ).
fof(f2234,plain,
( ~ ssList(sK2)
| spl22_1
| spl22_107 ),
inference(forward_subsumption_resolution,[],[f2233,f307]) ).
fof(f2235,plain,
( $false
| spl22_1
| spl22_107 ),
inference(forward_subsumption_resolution,[],[f2234,f290]) ).
fof(f2236,plain,
( spl22_1
| spl22_107 ),
inference(avatar_contradiction_clause,[],[f2235]) ).
fof(f2309,plain,
( totalorderedP(sK2)
| ~ ssList(sK2)
| spl22_108 ),
inference(resolution,[],[f2048,f224]) ).
fof(f2310,plain,
( ~ ssList(sK2)
| spl22_1
| spl22_108 ),
inference(forward_subsumption_resolution,[],[f2309,f307]) ).
fof(f2311,plain,
( $false
| spl22_1
| spl22_108 ),
inference(forward_subsumption_resolution,[],[f2310,f290]) ).
fof(f2312,plain,
( spl22_1
| spl22_108 ),
inference(avatar_contradiction_clause,[],[f2311]) ).
fof(f2488,plain,
( totalorderedP(sK2)
| ~ ssList(sK2)
| spl22_113 ),
inference(resolution,[],[f2071,f220]) ).
fof(f2489,plain,
( ~ ssList(sK2)
| spl22_1
| spl22_113 ),
inference(forward_subsumption_resolution,[],[f2488,f307]) ).
fof(f2490,plain,
( $false
| spl22_1
| spl22_113 ),
inference(forward_subsumption_resolution,[],[f2489,f290]) ).
fof(f2491,plain,
( spl22_1
| spl22_113 ),
inference(avatar_contradiction_clause,[],[f2490]) ).
fof(f3058,plain,
( leq(sK6(sK2),sK7(sK2))
| ~ ssItem(sK7(sK2))
| ~ ssItem(sK6(sK2))
| ~ spl22_112 ),
inference(resolution,[],[f2067,f275]) ).
fof(f3059,plain,
( leq(sK6(sK2),sK7(sK2))
| ~ ssItem(sK6(sK2))
| ~ spl22_107
| ~ spl22_112 ),
inference(forward_subsumption_resolution,[],[f3058,f2043]) ).
fof(f3063,plain,
( leq(sK6(sK2),sK7(sK2))
| ~ spl22_107
| ~ spl22_112
| ~ spl22_113 ),
inference(forward_subsumption_resolution,[],[f3059,f2070]) ).
fof(f3341,plain,
( totalorderedP(sK2)
| ~ ssList(sK2)
| ~ spl22_107
| ~ spl22_112
| ~ spl22_113 ),
inference(resolution,[],[f3063,f226]) ).
fof(f3347,plain,
( ~ ssList(sK2)
| spl22_1
| ~ spl22_107
| ~ spl22_112
| ~ spl22_113 ),
inference(forward_subsumption_resolution,[],[f3341,f307]) ).
fof(f3350,plain,
( $false
| spl22_1
| ~ spl22_107
| ~ spl22_112
| ~ spl22_113 ),
inference(forward_subsumption_resolution,[],[f3347,f290]) ).
fof(f3351,plain,
( spl22_1
| ~ spl22_107
| ~ spl22_112
| ~ spl22_113 ),
inference(avatar_contradiction_clause,[],[f3350]) ).
cnf(s1,plain,
( ~ spl22_1
| ~ spl22_2 ),
inference(sat_conversion,[],[f312]) ).
cnf(s2,plain,
spl22_2,
inference(sat_conversion,[],[f313]) ).
cnf(s106,plain,
( spl22_1
| ~ spl22_99
| ~ spl22_107
| ~ spl22_108
| spl22_112
| ~ spl22_113
| ~ spl22_114 ),
inference(sat_conversion,[],[f2076]) ).
cnf(s107,plain,
( spl22_1
| spl22_99 ),
inference(sat_conversion,[],[f2080]) ).
cnf(s118,plain,
( spl22_1
| spl22_114 ),
inference(sat_conversion,[],[f2201]) ).
cnf(s119,plain,
( spl22_1
| spl22_107 ),
inference(sat_conversion,[],[f2236]) ).
cnf(s120,plain,
( spl22_1
| spl22_108 ),
inference(sat_conversion,[],[f2312]) ).
cnf(s135,plain,
( spl22_1
| spl22_113 ),
inference(sat_conversion,[],[f2491]) ).
cnf(s174,plain,
( spl22_1
| ~ spl22_107
| ~ spl22_112
| ~ spl22_113 ),
inference(sat_conversion,[],[f3351]) ).
cnf(s199,plain,
~ spl22_1,
inference(rat,[],[s1,s2]) ).
cnf(s200,plain,
spl22_113,
inference(rat,[],[s135,s199]) ).
cnf(s201,plain,
spl22_108,
inference(rat,[],[s120,s199]) ).
cnf(s202,plain,
spl22_107,
inference(rat,[],[s119,s199]) ).
cnf(s203,plain,
spl22_114,
inference(rat,[],[s118,s199]) ).
cnf(s204,plain,
spl22_99,
inference(rat,[],[s107,s199]) ).
cnf(s206,plain,
~ spl22_112,
inference(rat,[],[s174,s200,s199,s202]) ).
cnf(s207,plain,
$false,
inference(rat,[],[s106,s203,s200,s199,s201,s202,s206,s204]) ).
fof(f3361,plain,
$false,
inference(avatar_sat_refutation,[],[s207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC340+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 09:10:34 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.13 Running first-order theorem proving
% 0.09/0.13 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.77/0.81 % (3252284)Detected formulas, will run a generic FOF schedule.
% 2.77/0.81 % (3252290)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=3690526121:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.77/0.81 % (3252291)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=3854530915:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.77/0.81 % (3252293)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1836879961:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.77/0.81 % (3252289)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=3972558228:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.77/0.81 % (3252292)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=740805427:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.77/0.81 % (3252295)dis-21_1_sil=8000:lcm=predicate:random_seed=2011036665:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.77/0.81 % (3252294)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=639808403:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.77/0.81 % (3252293)Instruction limit reached!
% 2.77/0.81 % (3252293)------------------------------
% 2.77/0.81 % (3252293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/0.81 % (3252293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.81 % (3252293)CaDiCaL version: 2.1.3
% 2.77/0.81 % (3252293)Termination reason: Instruction limit
% 2.77/0.81 % (3252293)Termination phase: Saturation
% 2.77/0.81 % (3252293)Time elapsed: 0.028 s
% 2.77/0.81 % (3252293)Peak memory usage: 87 MB
% 2.77/0.81 % (3252293)Instructions burned: 124 (million)
% 2.77/0.81 % (3252292)Instruction limit reached!
% 2.77/0.81 % (3252292)------------------------------
% 2.77/0.81 % (3252292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/0.81 % (3252292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.81 % (3252292)CaDiCaL version: 2.1.3
% 2.77/0.81 % (3252292)Termination reason: Instruction limit
% 2.77/0.81 % (3252292)Termination phase: Saturation
% 2.77/0.81 % (3252292)Time elapsed: 0.036 s
% 2.77/0.81 % (3252292)Peak memory usage: 89 MB
% 2.77/0.81 % (3252292)Instructions burned: 112 (million)
% 2.77/0.81 % (3252295)Instruction limit reached!
% 2.77/0.81 % (3252295)------------------------------
% 2.77/0.81 % (3252295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/0.81 % (3252295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.81 % (3252295)CaDiCaL version: 2.1.3
% 2.77/0.81 % (3252295)Termination reason: Instruction limit
% 2.77/0.81 % (3252295)Termination phase: Saturation
% 2.77/0.81 % (3252295)Time elapsed: 0.038 s
% 2.77/0.81 % (3252295)Peak memory usage: 90 MB
% 2.77/0.81 % (3252295)Instructions burned: 130 (million)
% 2.77/0.81 % (3252294)Instruction limit reached!
% 2.77/0.81 % (3252294)------------------------------
% 2.77/0.81 % (3252294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/0.81 % (3252294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.81 % (3252294)CaDiCaL version: 2.1.3
% 2.77/0.81 % (3252294)Termination reason: Instruction limit
% 2.77/0.81 % (3252294)Termination phase: Saturation
% 2.77/0.81 % (3252294)Time elapsed: 0.044 s
% 2.77/0.81 % (3252294)Peak memory usage: 90 MB
% 2.77/0.81 % (3252294)Instructions burned: 139 (million)
% 2.77/0.81 % (3252303)lrs+10_1_sil=8000:sp=occurrence:random_seed=203412565:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.77/0.81 % (3252304)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1797610210:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 2.77/0.81 % (3252306)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=969541686:s2a=on:i=248:s2at=1.23:gtg=position_2998 on theBenchmark for (2998ds/248Mi)
% 2.77/0.81 % (3252305)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4237950161:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 2.77/0.81 % (3252303)First to succeed.
% 2.77/0.81 % (3252303)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3252284"
% 2.77/0.81 % (3252304)Instruction limit reached!
% 2.77/0.81 % (3252304)------------------------------
% 2.77/0.81 % (3252304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/0.81 % (3252304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.81 % (3252304)CaDiCaL version: 2.1.3
% 2.77/0.81 % (3252304)Termination reason: Instruction limit
% 2.77/0.81 % (3252304)Termination phase: Saturation
% 2.77/0.81 % (3252304)Time elapsed: 0.042 s
% 2.77/0.81 % (3252304)Peak memory usage: 91 MB
% 2.77/0.81 % (3252304)Instructions burned: 160 (million)
% 2.77/0.81 % (3252306)Instruction limit reached!
% 2.77/0.81 % (3252306)------------------------------
% 2.77/0.81 % (3252306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/0.81 % (3252306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.81 % (3252306)CaDiCaL version: 2.1.3
% 2.77/0.81 % (3252306)Termination reason: Instruction limit
% 2.77/0.81 % (3252306)Termination phase: Saturation
% 2.77/0.81 % (3252306)Time elapsed: 0.064 s
% 2.77/0.81 % (3252306)Peak memory usage: 92 MB
% 2.77/0.81 % (3252306)Instructions burned: 248 (million)
% 2.77/0.81 % (3252305)Instruction limit reached!
% 2.77/0.81 % (3252305)------------------------------
% 2.77/0.81 % (3252305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/0.81 % (3252305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.81 % (3252305)CaDiCaL version: 2.1.3
% 2.77/0.81 % (3252305)Termination reason: Instruction limit
% 2.77/0.81 % (3252305)Termination phase: Saturation
% 2.77/0.81 % (3252305)Time elapsed: 0.067 s
% 2.77/0.81 % (3252305)Peak memory usage: 88 MB
% 2.77/0.81 % (3252305)Instructions burned: 326 (million)
% 2.77/0.81 % (3252311)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2309574291:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 2.77/0.81 % (3252303)Refutation found. Thanks to Tanya!
% 2.77/0.81 % SZS status Theorem for theBenchmark
% 2.77/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 3.63/0.91 % (3252303)------------------------------
% 3.63/0.91 % (3252303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.63/0.91 % (3252303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.63/0.91 % (3252303)CaDiCaL version: 2.1.3
% 3.63/0.91 % (3252303)Termination reason: Refutation
% 3.63/0.91 % (3252303)Time elapsed: 0.039 s
% 3.63/0.91 % (3252303)Peak memory usage: 91 MB
% 3.63/0.91 % (3252303)Instructions burned: 120 (million)
% 3.63/0.91 % (3252303)------------------------------
% 3.63/0.91 % (3252303)------------------------------
% 3.63/0.91 % (3252284)Success in time 0.481 s
% 3.63/0.91 % Vampire exiting
%------------------------------------------------------------------------------