%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC109+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 01:04:42 PM UTC 2026
% Result : Theorem 0.56s 0.53s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 20
% Syntax : Number of formulae : 144 ( 20 unt; 13 def)
% Number of atoms : 470 ( 88 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 504 ( 178 ~; 251 |; 36 &)
% ( 19 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 14 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 86 ( 0 sgn 71 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ( ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ~ ssList(X6)
| cons(X4,nil) != X2
| app(app(X5,X2),X6) != X3
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& lt(X4,X7) )
| ? [X8] :
( ssItem(X8)
& memberP(X6,X8)
& lt(X8,X4) ) ) ) )
& ( nil != X3
| nil != X2 ) )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ( neq(X0,nil)
& segmentP(X1,X0) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ( ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ~ ssList(X6)
| cons(X4,nil) != X2
| app(app(X5,X2),X6) != X3
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& lt(X4,X7) )
| ? [X8] :
( ssItem(X8)
& memberP(X6,X8)
& lt(X8,X4) ) ) ) )
& ( nil != X3
| nil != X2 ) )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ( neq(X0,nil)
& segmentP(X1,X0) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ssList(X6)
& cons(X4,nil) = X2
& app(app(X5,X2),X6) = X3
& ! [X7] :
( ~ ssItem(X7)
| ~ memberP(X5,X7)
| ~ lt(X4,X7) )
& ! [X8] :
( ~ ssItem(X8)
| ~ memberP(X6,X8)
| ~ lt(X8,X4) ) )
& ssList(X5) )
& ssItem(X4) )
| ( nil = X3
& nil = X2 ) )
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ( ~ neq(X0,nil)
| ~ segmentP(X1,X0) ) ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f240,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f302,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f303,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f305,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f306,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) != X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f317,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f393,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X0
| nil != app(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f394,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| nil != app(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f415,plain,
( nil = sK50
| sK49 = cons(sK51,nil) ),
inference(cnf_transformation,[],[f221]) ).
fof(f417,plain,
( nil = sK49
| sK50 = app(app(sK52,sK49),sK53) ),
inference(cnf_transformation,[],[f221]) ).
fof(f419,plain,
( nil = sK49
| ssList(sK53) ),
inference(cnf_transformation,[],[f221]) ).
fof(f420,plain,
( nil = sK49
| ssList(sK52) ),
inference(cnf_transformation,[],[f221]) ).
fof(f422,plain,
( nil = sK50
| ssItem(sK51) ),
inference(cnf_transformation,[],[f221]) ).
fof(f424,plain,
( ~ segmentP(sK48,sK47)
| ~ neq(sK47,nil)
| nil = sK48 ),
inference(cnf_transformation,[],[f221]) ).
fof(f426,plain,
( neq(sK48,nil)
| nil != sK47 ),
inference(cnf_transformation,[],[f221]) ).
fof(f428,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f221]) ).
fof(f429,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f221]) ).
fof(f432,plain,
ssList(sK48),
inference(cnf_transformation,[],[f221]) ).
fof(f433,plain,
ssList(sK47),
inference(cnf_transformation,[],[f221]) ).
fof(f434,plain,
ssList(sK49),
inference(definition_unfolding,[],[f433,f428]) ).
fof(f435,plain,
ssList(sK50),
inference(definition_unfolding,[],[f432,f429]) ).
fof(f437,plain,
( neq(sK50,nil)
| nil != sK49 ),
inference(definition_unfolding,[],[f426,f429,f428]) ).
fof(f439,plain,
( ~ segmentP(sK50,sK49)
| ~ neq(sK49,nil)
| nil = sK50 ),
inference(definition_unfolding,[],[f424,f429,f428,f428,f429]) ).
fof(f445,plain,
! [X2,X3,X1] :
( ~ ssList(app(app(X2,X1),X3))
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(app(app(X2,X1),X3),X1) ),
inference(equality_resolution,[],[f240]) ).
fof(f454,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f303]) ).
fof(f481,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ssList(X1)
| ssList(X3)
| ssList(X2)
| ssList(app(app(X2,X1),X3)) ),
inference(consistent_polarity_flipping,[],[f445]) ).
fof(f540,plain,
! [X1] :
( ssList(X1)
| ssList(X1)
| ~ neq(X1,X1) ),
inference(consistent_polarity_flipping,[],[f454]) ).
fof(f541,plain,
! [X0,X1] :
( neq(X0,X1)
| ssList(X1)
| X0 = X1
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f302]) ).
fof(f543,plain,
~ ssList(nil),
inference(consistent_polarity_flipping,[],[f305]) ).
fof(f544,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f306]) ).
fof(f555,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ssList(X1)
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f317]) ).
fof(f620,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ssList(X1)
| nil = X1
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f394]) ).
fof(f621,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ssList(X1)
| nil = X0
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f393]) ).
fof(f629,plain,
~ ssList(sK49),
inference(consistent_polarity_flipping,[],[f434]) ).
fof(f630,plain,
~ ssList(sK50),
inference(consistent_polarity_flipping,[],[f435]) ).
fof(f634,plain,
( nil = sK49
| ~ ssList(sK52) ),
inference(consistent_polarity_flipping,[],[f420]) ).
fof(f635,plain,
( nil = sK49
| ~ ssList(sK53) ),
inference(consistent_polarity_flipping,[],[f419]) ).
fof(f645,plain,
! [X1] :
( ~ neq(X1,X1)
| ssList(X1) ),
inference(duplicate_literal_removal,[],[f540]) ).
fof(f652,definition,
( spl54_2
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl54_2])],[avatar_definition]) ).
fof(f653,plain,
( nil != sK49
| spl54_2 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f654,plain,
( nil = sK49
| ~ spl54_2 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f657,definition,
( spl54_3
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl54_3])],[avatar_definition]) ).
fof(f659,plain,
( nil = sK50
| ~ spl54_3 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f667,definition,
( spl54_5
<=> sK50 = app(app(sK52,sK49),sK53) ),
introduced(definition,[new_symbols(definition,[spl54_5])],[avatar_definition]) ).
fof(f669,plain,
( sK50 = app(app(sK52,sK49),sK53)
| ~ spl54_5 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f672,definition,
( spl54_6
<=> sK49 = cons(sK51,nil) ),
introduced(definition,[new_symbols(definition,[spl54_6])],[avatar_definition]) ).
fof(f674,plain,
( sK49 = cons(sK51,nil)
| ~ spl54_6 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f675,plain,
( spl54_6
| spl54_3 ),
inference(avatar_split_clause,[],[f415,f657,f672]) ).
fof(f677,definition,
( spl54_7
<=> ssList(sK53) ),
introduced(definition,[new_symbols(definition,[spl54_7])],[avatar_definition]) ).
fof(f679,plain,
( ~ ssList(sK53)
| spl54_7 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f681,plain,
( spl54_5
| spl54_2 ),
inference(avatar_split_clause,[],[f417,f652,f667]) ).
fof(f683,plain,
( ~ spl54_7
| spl54_2 ),
inference(avatar_split_clause,[],[f635,f652,f677]) ).
fof(f685,definition,
( spl54_8
<=> ssList(sK52) ),
introduced(definition,[new_symbols(definition,[spl54_8])],[avatar_definition]) ).
fof(f687,plain,
( ~ ssList(sK52)
| spl54_8 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f688,plain,
( ~ spl54_8
| spl54_2 ),
inference(avatar_split_clause,[],[f634,f652,f685]) ).
fof(f691,definition,
( spl54_9
<=> ssItem(sK51) ),
introduced(definition,[new_symbols(definition,[spl54_9])],[avatar_definition]) ).
fof(f693,plain,
( ssItem(sK51)
| ~ spl54_9 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f694,plain,
( spl54_9
| spl54_3 ),
inference(avatar_split_clause,[],[f422,f657,f691]) ).
fof(f697,definition,
( spl54_10
<=> neq(sK49,nil) ),
introduced(definition,[new_symbols(definition,[spl54_10])],[avatar_definition]) ).
fof(f699,plain,
( ~ neq(sK49,nil)
| spl54_10 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f701,definition,
( spl54_11
<=> segmentP(sK50,sK49) ),
introduced(definition,[new_symbols(definition,[spl54_11])],[avatar_definition]) ).
fof(f703,plain,
( ~ segmentP(sK50,sK49)
| spl54_11 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f704,plain,
( spl54_3
| ~ spl54_10
| ~ spl54_11 ),
inference(avatar_split_clause,[],[f439,f701,f697,f657]) ).
fof(f707,definition,
( spl54_12
<=> neq(sK50,nil) ),
introduced(definition,[new_symbols(definition,[spl54_12])],[avatar_definition]) ).
fof(f709,plain,
( neq(sK50,nil)
| ~ spl54_12 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f710,plain,
( ~ spl54_2
| spl54_12 ),
inference(avatar_split_clause,[],[f437,f707,f652]) ).
fof(f717,definition,
( spl54_14
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl54_14])],[avatar_definition]) ).
fof(f718,plain,
( ~ ssList(nil)
| spl54_14 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f746,plain,
~ spl54_14,
inference(avatar_split_clause,[],[f543,f717]) ).
fof(f752,plain,
( neq(nil,nil)
| ~ spl54_3
| ~ spl54_12 ),
inference(forward_demodulation,[],[f709,f659]) ).
fof(f760,plain,
( nil = cons(sK51,nil)
| ~ spl54_2
| ~ spl54_6 ),
inference(forward_demodulation,[],[f674,f654]) ).
fof(f862,plain,
( nil != nil
| ~ ssItem(sK51)
| ssList(nil)
| ~ spl54_2
| ~ spl54_6 ),
inference(superposition,[],[f544,f760]) ).
fof(f863,plain,
( ~ ssItem(sK51)
| ssList(nil)
| ~ spl54_2
| ~ spl54_6 ),
inference(trivial_inequality_removal,[],[f862]) ).
fof(f864,plain,
( ssList(nil)
| ~ spl54_2
| ~ spl54_6
| ~ spl54_9 ),
inference(forward_subsumption_resolution,[],[f863,f693]) ).
fof(f865,plain,
( $false
| ~ spl54_2
| ~ spl54_6
| ~ spl54_9
| spl54_14 ),
inference(forward_subsumption_resolution,[],[f864,f718]) ).
fof(f866,plain,
( ~ spl54_2
| ~ spl54_6
| ~ spl54_9
| spl54_14 ),
inference(avatar_contradiction_clause,[],[f865]) ).
fof(f916,plain,
( ssList(nil)
| nil = sK49
| ssList(sK49)
| spl54_10 ),
inference(resolution,[],[f541,f699]) ).
fof(f919,plain,
( nil = sK49
| ssList(sK49)
| spl54_10
| spl54_14 ),
inference(forward_subsumption_resolution,[],[f916,f718]) ).
fof(f920,plain,
( ssList(sK49)
| spl54_2
| spl54_10
| spl54_14 ),
inference(forward_subsumption_resolution,[],[f919,f653]) ).
fof(f921,plain,
( $false
| spl54_2
| spl54_10
| spl54_14 ),
inference(forward_subsumption_resolution,[],[f920,f629]) ).
fof(f922,plain,
( spl54_2
| spl54_10
| spl54_14 ),
inference(avatar_contradiction_clause,[],[f921]) ).
fof(f929,plain,
( ssList(nil)
| ~ spl54_3
| ~ spl54_12 ),
inference(resolution,[],[f752,f645]) ).
fof(f930,plain,
( $false
| ~ spl54_3
| ~ spl54_12
| spl54_14 ),
inference(forward_subsumption_resolution,[],[f929,f718]) ).
fof(f931,plain,
( ~ spl54_3
| ~ spl54_12
| spl54_14 ),
inference(avatar_contradiction_clause,[],[f930]) ).
fof(f1208,plain,
( nil != sK50
| ssList(sK53)
| nil = app(sK52,sK49)
| ssList(app(sK52,sK49))
| ~ spl54_5 ),
inference(superposition,[],[f621,f669]) ).
fof(f1233,definition,
( spl54_30
<=> ssList(app(sK52,sK49)) ),
introduced(definition,[new_symbols(definition,[spl54_30])],[avatar_definition]) ).
fof(f1235,plain,
( ssList(app(sK52,sK49))
| ~ spl54_30 ),
inference(avatar_component_clause,[],[f1233]) ).
fof(f1237,definition,
( spl54_31
<=> nil = app(sK52,sK49) ),
introduced(definition,[new_symbols(definition,[spl54_31])],[avatar_definition]) ).
fof(f1239,plain,
( nil = app(sK52,sK49)
| ~ spl54_31 ),
inference(avatar_component_clause,[],[f1237]) ).
fof(f1331,plain,
( nil != nil
| ssList(sK49)
| nil = sK49
| ssList(sK52)
| ~ spl54_31 ),
inference(superposition,[],[f620,f1239]) ).
fof(f1333,plain,
( ssList(sK49)
| nil = sK49
| ssList(sK52)
| ~ spl54_31 ),
inference(trivial_inequality_removal,[],[f1331]) ).
fof(f1335,plain,
( nil = sK49
| ssList(sK52)
| ~ spl54_31 ),
inference(forward_subsumption_resolution,[],[f1333,f629]) ).
fof(f1340,plain,
( ssList(sK52)
| spl54_2
| ~ spl54_31 ),
inference(forward_subsumption_resolution,[],[f1335,f653]) ).
fof(f1345,plain,
( $false
| spl54_2
| spl54_8
| ~ spl54_31 ),
inference(forward_subsumption_resolution,[],[f1340,f687]) ).
fof(f1346,plain,
( spl54_2
| spl54_8
| ~ spl54_31 ),
inference(avatar_contradiction_clause,[],[f1345]) ).
fof(f1349,plain,
( ssList(sK49)
| ssList(sK52)
| ~ spl54_30 ),
inference(resolution,[],[f1235,f555]) ).
fof(f1350,plain,
( ssList(sK52)
| ~ spl54_30 ),
inference(forward_subsumption_resolution,[],[f1349,f629]) ).
fof(f1351,plain,
( $false
| spl54_8
| ~ spl54_30 ),
inference(forward_subsumption_resolution,[],[f1350,f687]) ).
fof(f1352,plain,
( spl54_8
| ~ spl54_30 ),
inference(avatar_contradiction_clause,[],[f1351]) ).
fof(f1373,plain,
( nil != sK50
| nil = app(sK52,sK49)
| ssList(app(sK52,sK49))
| ~ spl54_5
| spl54_7 ),
inference(forward_subsumption_resolution,[],[f1208,f679]) ).
fof(f1384,plain,
( spl54_30
| spl54_31
| ~ spl54_3
| ~ spl54_5
| spl54_7 ),
inference(avatar_split_clause,[],[f1373,f677,f667,f657,f1237,f1233]) ).
fof(f2486,plain,
( segmentP(sK50,sK49)
| ssList(sK49)
| ssList(sK53)
| ssList(sK52)
| ssList(sK50)
| ~ spl54_5 ),
inference(superposition,[],[f481,f669]) ).
fof(f2494,plain,
( ssList(sK49)
| ssList(sK53)
| ssList(sK52)
| ssList(sK50)
| ~ spl54_5
| spl54_11 ),
inference(forward_subsumption_resolution,[],[f2486,f703]) ).
fof(f2500,plain,
( ssList(sK53)
| ssList(sK52)
| ssList(sK50)
| ~ spl54_5
| spl54_11 ),
inference(forward_subsumption_resolution,[],[f2494,f629]) ).
fof(f2506,plain,
( ssList(sK52)
| ssList(sK50)
| ~ spl54_5
| spl54_7
| spl54_11 ),
inference(forward_subsumption_resolution,[],[f2500,f679]) ).
fof(f2507,plain,
( ssList(sK50)
| ~ spl54_5
| spl54_7
| spl54_8
| spl54_11 ),
inference(forward_subsumption_resolution,[],[f2506,f687]) ).
fof(f2508,plain,
( $false
| ~ spl54_5
| spl54_7
| spl54_8
| spl54_11 ),
inference(forward_subsumption_resolution,[],[f2507,f630]) ).
fof(f2509,plain,
( ~ spl54_5
| spl54_7
| spl54_8
| spl54_11 ),
inference(avatar_contradiction_clause,[],[f2508]) ).
cnf(s6,plain,
( spl54_3
| spl54_6 ),
inference(sat_conversion,[],[f675]) ).
cnf(s8,plain,
( spl54_2
| spl54_5 ),
inference(sat_conversion,[],[f681]) ).
cnf(s10,plain,
( spl54_2
| ~ spl54_7 ),
inference(sat_conversion,[],[f683]) ).
cnf(s11,plain,
( spl54_2
| ~ spl54_8 ),
inference(sat_conversion,[],[f688]) ).
cnf(s13,plain,
( spl54_3
| spl54_9 ),
inference(sat_conversion,[],[f694]) ).
cnf(s15,plain,
( spl54_3
| ~ spl54_10
| ~ spl54_11 ),
inference(sat_conversion,[],[f704]) ).
cnf(s17,plain,
( ~ spl54_2
| spl54_12 ),
inference(sat_conversion,[],[f710]) ).
cnf(s27,plain,
~ spl54_14,
inference(sat_conversion,[],[f746]) ).
cnf(s33,plain,
( ~ spl54_2
| ~ spl54_6
| ~ spl54_9
| spl54_14 ),
inference(sat_conversion,[],[f866]) ).
cnf(s35,plain,
( spl54_2
| spl54_10
| spl54_14 ),
inference(sat_conversion,[],[f922]) ).
cnf(s36,plain,
( ~ spl54_3
| ~ spl54_12
| spl54_14 ),
inference(sat_conversion,[],[f931]) ).
cnf(s48,plain,
( spl54_2
| spl54_8
| ~ spl54_31 ),
inference(sat_conversion,[],[f1346]) ).
cnf(s50,plain,
( spl54_8
| ~ spl54_30 ),
inference(sat_conversion,[],[f1352]) ).
cnf(s57,plain,
( ~ spl54_3
| ~ spl54_5
| spl54_7
| spl54_30
| spl54_31 ),
inference(sat_conversion,[],[f1384]) ).
cnf(s119,plain,
( ~ spl54_5
| spl54_7
| spl54_8
| spl54_11 ),
inference(sat_conversion,[],[f2509]) ).
cnf(s129,plain,
spl54_2,
inference(rat,[],[s15,s57,s119,s48,s50,s8,s10,s11,s35,s27]) ).
cnf(s131,plain,
spl54_12,
inference(rat,[],[s17,s129]) ).
cnf(s133,plain,
~ spl54_3,
inference(rat,[],[s36,s27,s131]) ).
cnf(s138,plain,
spl54_9,
inference(rat,[],[s13,s133]) ).
cnf(s141,plain,
spl54_6,
inference(rat,[],[s6,s133]) ).
cnf(s144,plain,
$false,
inference(rat,[],[s33,s27,s129,s138,s141]) ).
fof(f2510,plain,
$false,
inference(avatar_sat_refutation,[],[s144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC109+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 07:55:58 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.53 % (1416616)Will run a generic schedule for satisfiability detection.
% 0.56/0.53 % (1416623)% WARNING: option uhcvi not known.
% 0.56/0.53 % (1416625)dis+10_1_sil=32000:sp=arity:random_seed=3662156771:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.56/0.53 % (1416623)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2877810296:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.56/0.53 % (1416622)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3681413413_2999 on theBenchmark for (2999ds/0Mi)
% 0.56/0.53 % (1416626)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2496877247:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.56/0.53 % (1416627)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2220726352:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.56/0.53 % (1416628)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3055226255:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.56/0.53 % (1416624)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2834192638:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.56/0.53 % TRYING [1]
% 0.56/0.53 % TRYING [2]
% 0.56/0.53 % TRYING [3]
% 0.56/0.53 % (1416625)Instruction limit reached!
% 0.56/0.53 % (1416625)------------------------------
% 0.56/0.53 % (1416625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.53 % (1416625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.53 % (1416625)CaDiCaL version: 2.1.3
% 0.56/0.53 % (1416625)Termination reason: Instruction limit
% 0.56/0.53 % (1416625)Termination phase: Saturation
% 0.56/0.53 % (1416625)Time elapsed: 0.054 s
% 0.56/0.53 % (1416625)Peak memory usage: 13 MB
% 0.56/0.53 % (1416625)Instructions burned: 103 (million)
% 0.56/0.53 % (1416638)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=588931948:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.56/0.53 % (1416623) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1416616-1416623"...
% 0.56/0.53 % TRYING [1]
% 0.56/0.53 % (1416623)...printing done.
% 0.56/0.53 % TRYING [4]
% 0.56/0.53 % TRYING [2]
% 0.56/0.53 % (1416623)Refutation found. Thanks to Tanya!
% 0.56/0.53 % SZS status Theorem for theBenchmark
% 0.56/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.56/0.54 % (1416623)------------------------------
% 0.56/0.54 % (1416623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.54 % (1416623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.54 % (1416623)CaDiCaL version: 2.1.3
% 0.56/0.54 % (1416623)Termination reason: Refutation
% 0.56/0.54 % (1416623)Time elapsed: 0.080 s
% 0.56/0.54 % (1416623)Peak memory usage: 13 MB
% 0.56/0.54 % (1416623)Instructions burned: 77 (million)
% 0.56/0.54 % (1416616)Success in time 0.111 s
% 0.56/0.54 % Vampire exiting
%------------------------------------------------------------------------------