%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC314+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 : n016.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 01:05:30 PM UTC 2026
% Result : Theorem 7.00s 1.35s
% Output : Refutation 7.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 25
% Syntax : Number of formulae : 182 ( 12 unt; 12 def)
% Number of atoms : 609 ( 159 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 725 ( 298 ~; 340 |; 40 &)
% ( 16 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 13 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 109 ( 0 sgn 95 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
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(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
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(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
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(f85,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> hd(app(X0,X1)) = hd(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax85) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ( nil != X2
& nil = X3 )
| ( ? [X4] :
( ssList(X4)
& X2 != X4
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& tl(X3) = X5
& app(X5,X6) = X4
& ? [X7] :
( ssItem(X7)
& cons(X7,nil) = X6
& hd(X3) = X7
& neq(nil,X3) )
& neq(nil,X3) ) ) )
& neq(X3,nil) )
| ( ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ~ ssList(X9)
| app(cons(X8,nil),X9) != X1
| app(X9,cons(X8,nil)) = X0 ) )
& ( nil != X1
| nil = 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
| ( nil != X2
& nil = X3 )
| ( ? [X4] :
( ssList(X4)
& X2 != X4
& ? [X5] :
( ssList(X5)
& ? [X6] :
( ssList(X6)
& tl(X3) = X5
& app(X5,X6) = X4
& ? [X7] :
( ssItem(X7)
& cons(X7,nil) = X6
& hd(X3) = X7
& neq(nil,X3) )
& neq(nil,X3) ) ) )
& neq(X3,nil) )
| ( ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ~ ssList(X9)
| app(cons(X8,nil),X9) != X1
| app(X9,cons(X8,nil)) = X0 ) )
& ( nil != X1
| nil = X0 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f126,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( hd(app(X0,X1)) = hd(X0)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f203,plain,
! [X0] :
( ! [X1] :
( hd(app(X0,X1)) = hd(X0)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f202]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ( nil = X2
| nil != X3 )
& ( ! [X4] :
( ~ ssList(X4)
| X2 = X4
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| tl(X3) != X5
| app(X5,X6) != X4
| ! [X7] :
( ~ ssItem(X7)
| cons(X7,nil) != X6
| hd(X3) != X7
| ~ neq(nil,X3) )
| ~ neq(nil,X3) ) ) )
| ~ neq(X3,nil) )
& ( ? [X8] :
( ? [X9] :
( ssList(X9)
& app(cons(X8,nil),X9) = X1
& app(X9,cons(X8,nil)) != X0 )
& ssItem(X8) )
| ( nil = X1
& nil != X0 ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f302,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X1)
| X0 = X1
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f304,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
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(f313,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f314,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f128]) ).
fof(f315,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f316,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f317,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f391,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f393,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f397,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| hd(X0) = hd(app(X0,X1)) ),
inference(cnf_transformation,[],[f203]) ).
fof(f410,plain,
! [X6,X7,X4,X5] :
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| hd(sK50) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7)
| app(X5,X6) != X4
| tl(sK50) != X5
| ~ ssList(X6)
| ~ ssList(X5)
| sK49 = X4
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f221]) ).
fof(f412,plain,
( nil != sK47
| sK48 = app(cons(sK51,nil),sK52) ),
inference(cnf_transformation,[],[f221]) ).
fof(f413,plain,
( nil != sK47
| ssList(sK52) ),
inference(cnf_transformation,[],[f221]) ).
fof(f414,plain,
( nil = sK48
| sK47 != app(sK52,cons(sK51,nil)) ),
inference(cnf_transformation,[],[f221]) ).
fof(f415,plain,
( nil = sK48
| sK48 = app(cons(sK51,nil),sK52) ),
inference(cnf_transformation,[],[f221]) ).
fof(f416,plain,
( nil = sK48
| ssList(sK52) ),
inference(cnf_transformation,[],[f221]) ).
fof(f417,plain,
( nil = sK48
| ssItem(sK51) ),
inference(cnf_transformation,[],[f221]) ).
fof(f418,plain,
( nil != sK47
| ssItem(sK51) ),
inference(cnf_transformation,[],[f221]) ).
fof(f419,plain,
( nil != sK50
| nil = sK49 ),
inference(cnf_transformation,[],[f221]) ).
fof(f420,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f221]) ).
fof(f421,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f221]) ).
fof(f422,plain,
ssList(sK50),
inference(cnf_transformation,[],[f221]) ).
fof(f428,plain,
( nil != sK49
| ssItem(sK51) ),
inference(definition_unfolding,[],[f418,f420]) ).
fof(f429,plain,
( nil = sK50
| ssItem(sK51) ),
inference(definition_unfolding,[],[f417,f421]) ).
fof(f430,plain,
( nil = sK50
| ssList(sK52) ),
inference(definition_unfolding,[],[f416,f421]) ).
fof(f431,plain,
( nil = sK50
| sK50 = app(cons(sK51,nil),sK52) ),
inference(definition_unfolding,[],[f415,f421,f421]) ).
fof(f432,plain,
( nil = sK50
| sK49 != app(sK52,cons(sK51,nil)) ),
inference(definition_unfolding,[],[f414,f421,f420]) ).
fof(f433,plain,
( nil != sK49
| ssList(sK52) ),
inference(definition_unfolding,[],[f413,f420]) ).
fof(f434,plain,
( nil != sK49
| sK50 = app(cons(sK51,nil),sK52) ),
inference(definition_unfolding,[],[f412,f420,f421]) ).
fof(f461,plain,
! [X6,X4,X5] :
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| cons(hd(sK50),nil) != X6
| ~ ssItem(hd(sK50))
| app(X5,X6) != X4
| tl(sK50) != X5
| ~ ssList(X6)
| ~ ssList(X5)
| sK49 = X4
| ~ ssList(X4) ),
inference(equality_resolution,[],[f410]) ).
fof(f462,plain,
! [X4,X5] :
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| ~ ssItem(hd(sK50))
| app(X5,cons(hd(sK50),nil)) != X4
| tl(sK50) != X5
| ~ ssList(cons(hd(sK50),nil))
| ~ ssList(X5)
| sK49 = X4
| ~ ssList(X4) ),
inference(equality_resolution,[],[f461]) ).
fof(f463,plain,
! [X5] :
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| ~ ssItem(hd(sK50))
| tl(sK50) != X5
| ~ ssList(cons(hd(sK50),nil))
| ~ ssList(X5)
| sK49 = app(X5,cons(hd(sK50),nil))
| ~ ssList(app(X5,cons(hd(sK50),nil))) ),
inference(equality_resolution,[],[f462]) ).
fof(f464,plain,
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| ~ ssItem(hd(sK50))
| ~ ssList(cons(hd(sK50),nil))
| ~ ssList(tl(sK50))
| sK49 = app(tl(sK50),cons(hd(sK50),nil))
| ~ ssList(app(tl(sK50),cons(hd(sK50),nil))) ),
inference(equality_resolution,[],[f463]) ).
fof(f473,definition,
( spl53_1
<=> ssItem(sK51) ),
introduced(definition,[new_symbols(definition,[spl53_1])],[avatar_definition]) ).
fof(f475,plain,
( ssItem(sK51)
| ~ spl53_1 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f477,definition,
( spl53_2
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl53_2])],[avatar_definition]) ).
fof(f478,plain,
( nil = sK49
| ~ spl53_2 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f479,plain,
( nil != sK49
| spl53_2 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f480,plain,
( spl53_1
| ~ spl53_2 ),
inference(avatar_split_clause,[],[f428,f477,f473]) ).
fof(f482,definition,
( spl53_3
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl53_3])],[avatar_definition]) ).
fof(f483,plain,
( nil != sK50
| spl53_3 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f484,plain,
( nil = sK50
| ~ spl53_3 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f485,plain,
( spl53_1
| spl53_3 ),
inference(avatar_split_clause,[],[f429,f482,f473]) ).
fof(f487,definition,
( spl53_4
<=> ssList(sK52) ),
introduced(definition,[new_symbols(definition,[spl53_4])],[avatar_definition]) ).
fof(f488,plain,
( ~ ssList(sK52)
| spl53_4 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f489,plain,
( ssList(sK52)
| ~ spl53_4 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f490,plain,
( spl53_4
| spl53_3 ),
inference(avatar_split_clause,[],[f430,f482,f487]) ).
fof(f492,plain,
( nil = sK49
| ~ spl53_3 ),
inference(forward_subsumption_resolution,[],[f419,f484]) ).
fof(f493,plain,
( $false
| spl53_2
| ~ spl53_3 ),
inference(forward_subsumption_resolution,[],[f492,f479]) ).
fof(f494,plain,
( spl53_2
| ~ spl53_3 ),
inference(avatar_contradiction_clause,[],[f493]) ).
fof(f499,definition,
( spl53_5
<=> ssList(app(tl(sK50),cons(hd(sK50),nil))) ),
introduced(definition,[new_symbols(definition,[spl53_5])],[avatar_definition]) ).
fof(f501,plain,
( ~ ssList(app(tl(sK50),cons(hd(sK50),nil)))
| spl53_5 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f503,definition,
( spl53_6
<=> sK49 = app(tl(sK50),cons(hd(sK50),nil)) ),
introduced(definition,[new_symbols(definition,[spl53_6])],[avatar_definition]) ).
fof(f505,plain,
( sK49 = app(tl(sK50),cons(hd(sK50),nil))
| ~ spl53_6 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f507,definition,
( spl53_7
<=> ssList(tl(sK50)) ),
introduced(definition,[new_symbols(definition,[spl53_7])],[avatar_definition]) ).
fof(f509,plain,
( ~ ssList(tl(sK50))
| spl53_7 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f511,definition,
( spl53_8
<=> ssList(cons(hd(sK50),nil)) ),
introduced(definition,[new_symbols(definition,[spl53_8])],[avatar_definition]) ).
fof(f513,plain,
( ~ ssList(cons(hd(sK50),nil))
| spl53_8 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f515,definition,
( spl53_9
<=> ssItem(hd(sK50)) ),
introduced(definition,[new_symbols(definition,[spl53_9])],[avatar_definition]) ).
fof(f517,plain,
( ~ ssItem(hd(sK50))
| spl53_9 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f519,definition,
( spl53_10
<=> neq(nil,sK50) ),
introduced(definition,[new_symbols(definition,[spl53_10])],[avatar_definition]) ).
fof(f521,plain,
( ~ neq(nil,sK50)
| spl53_10 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f523,definition,
( spl53_11
<=> neq(sK50,nil) ),
introduced(definition,[new_symbols(definition,[spl53_11])],[avatar_definition]) ).
fof(f525,plain,
( ~ neq(sK50,nil)
| spl53_11 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f526,plain,
( ~ spl53_5
| spl53_6
| ~ spl53_7
| ~ spl53_8
| ~ spl53_9
| ~ spl53_10
| ~ spl53_11 ),
inference(avatar_split_clause,[],[f464,f523,f519,f515,f511,f507,f503,f499]) ).
fof(f581,plain,
( ~ ssList(cons(hd(sK50),nil))
| ~ ssList(tl(sK50))
| spl53_5 ),
inference(resolution,[],[f317,f501]) ).
fof(f593,plain,
( ~ spl53_7
| ~ spl53_8
| spl53_5 ),
inference(avatar_split_clause,[],[f581,f499,f511,f507]) ).
fof(f594,plain,
( nil = sK50
| ~ ssList(sK50)
| spl53_7 ),
inference(resolution,[],[f509,f315]) ).
fof(f595,plain,
( ~ ssList(sK50)
| spl53_3
| spl53_7 ),
inference(forward_subsumption_resolution,[],[f594,f483]) ).
fof(f596,plain,
( $false
| spl53_3
| spl53_7 ),
inference(forward_subsumption_resolution,[],[f595,f422]) ).
fof(f597,plain,
( spl53_3
| spl53_7 ),
inference(avatar_contradiction_clause,[],[f596]) ).
fof(f600,plain,
( ~ ssItem(hd(sK50))
| ~ ssList(nil)
| spl53_8 ),
inference(resolution,[],[f513,f304]) ).
fof(f601,plain,
( ~ ssItem(hd(sK50))
| spl53_8 ),
inference(forward_subsumption_resolution,[],[f600,f305]) ).
fof(f602,plain,
( ~ spl53_9
| spl53_8 ),
inference(avatar_split_clause,[],[f601,f511,f515]) ).
fof(f603,plain,
( nil = sK50
| ~ ssList(sK50)
| spl53_9 ),
inference(resolution,[],[f517,f313]) ).
fof(f604,plain,
( ~ ssList(sK50)
| spl53_3
| spl53_9 ),
inference(forward_subsumption_resolution,[],[f603,f483]) ).
fof(f605,plain,
( $false
| spl53_3
| spl53_9 ),
inference(forward_subsumption_resolution,[],[f604,f422]) ).
fof(f606,plain,
( spl53_3
| spl53_9 ),
inference(avatar_contradiction_clause,[],[f605]) ).
fof(f621,plain,
( sK50 = app(cons(sK51,nil),sK52)
| ~ spl53_2 ),
inference(forward_subsumption_resolution,[],[f434,f478]) ).
fof(f622,plain,
( nil = app(cons(sK51,nil),sK52)
| ~ spl53_2
| ~ spl53_3 ),
inference(forward_demodulation,[],[f621,f484]) ).
fof(f693,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sK51,X0) != X0 )
| ~ spl53_1 ),
inference(resolution,[],[f306,f475]) ).
fof(f697,plain,
( nil != cons(sK51,nil)
| ~ spl53_1 ),
inference(resolution,[],[f693,f305]) ).
fof(f784,plain,
( ! [X0] :
( ~ ssList(X0)
| sK51 = hd(cons(sK51,X0)) )
| ~ spl53_1 ),
inference(resolution,[],[f314,f475]) ).
fof(f833,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sK51,X0)) = X0 )
| ~ spl53_1 ),
inference(resolution,[],[f316,f475]) ).
fof(f837,plain,
( sK51 = hd(cons(sK51,nil))
| ~ spl53_1 ),
inference(resolution,[],[f784,f305]) ).
fof(f1149,plain,
( nil != nil
| ~ ssList(sK52)
| nil = cons(sK51,nil)
| ~ ssList(cons(sK51,nil))
| ~ spl53_2
| ~ spl53_3 ),
inference(superposition,[],[f393,f622]) ).
fof(f1154,plain,
( ~ ssList(sK52)
| nil = cons(sK51,nil)
| ~ ssList(cons(sK51,nil))
| ~ spl53_2
| ~ spl53_3 ),
inference(trivial_inequality_removal,[],[f1149]) ).
fof(f1155,plain,
( nil = cons(sK51,nil)
| ~ ssList(cons(sK51,nil))
| ~ spl53_2
| ~ spl53_3
| ~ spl53_4 ),
inference(forward_subsumption_resolution,[],[f1154,f489]) ).
fof(f1156,plain,
( ~ ssList(cons(sK51,nil))
| ~ spl53_1
| ~ spl53_2
| ~ spl53_3
| ~ spl53_4 ),
inference(forward_subsumption_resolution,[],[f1155,f697]) ).
fof(f1157,plain,
( ~ ssItem(sK51)
| ~ ssList(nil)
| ~ spl53_1
| ~ spl53_2
| ~ spl53_3
| ~ spl53_4 ),
inference(resolution,[],[f1156,f304]) ).
fof(f1158,plain,
( ~ ssList(nil)
| ~ spl53_1
| ~ spl53_2
| ~ spl53_3
| ~ spl53_4 ),
inference(forward_subsumption_resolution,[],[f1157,f475]) ).
fof(f1159,plain,
( $false
| ~ spl53_1
| ~ spl53_2
| ~ spl53_3
| ~ spl53_4 ),
inference(forward_subsumption_resolution,[],[f1158,f305]) ).
fof(f1160,plain,
( ~ spl53_1
| ~ spl53_2
| ~ spl53_3
| ~ spl53_4 ),
inference(avatar_contradiction_clause,[],[f1159]) ).
fof(f1161,plain,
( ssList(sK52)
| ~ spl53_2 ),
inference(forward_subsumption_resolution,[],[f433,f478]) ).
fof(f1163,plain,
( $false
| ~ spl53_2
| spl53_4 ),
inference(forward_subsumption_resolution,[],[f1161,f488]) ).
fof(f1164,plain,
( ~ spl53_2
| spl53_4 ),
inference(avatar_contradiction_clause,[],[f1163]) ).
fof(f1174,plain,
( sK52 = tl(cons(sK51,sK52))
| ~ spl53_1
| ~ spl53_4 ),
inference(resolution,[],[f489,f833]) ).
fof(f1178,plain,
( ~ ssList(sK50)
| nil = sK50
| ~ ssList(nil)
| spl53_10 ),
inference(resolution,[],[f521,f302]) ).
fof(f1181,plain,
( nil = sK50
| ~ ssList(nil)
| spl53_10 ),
inference(forward_subsumption_resolution,[],[f1178,f422]) ).
fof(f1182,plain,
( ~ ssList(nil)
| spl53_3
| spl53_10 ),
inference(forward_subsumption_resolution,[],[f1181,f483]) ).
fof(f1183,plain,
( $false
| spl53_3
| spl53_10 ),
inference(forward_subsumption_resolution,[],[f1182,f305]) ).
fof(f1184,plain,
( spl53_3
| spl53_10 ),
inference(avatar_contradiction_clause,[],[f1183]) ).
fof(f1185,plain,
( ~ ssList(nil)
| nil = sK50
| ~ ssList(sK50)
| spl53_11 ),
inference(resolution,[],[f525,f302]) ).
fof(f1188,plain,
( nil = sK50
| ~ ssList(sK50)
| spl53_11 ),
inference(forward_subsumption_resolution,[],[f1185,f305]) ).
fof(f1189,plain,
( ~ ssList(sK50)
| spl53_3
| spl53_11 ),
inference(forward_subsumption_resolution,[],[f1188,f483]) ).
fof(f1190,plain,
( $false
| spl53_3
| spl53_11 ),
inference(forward_subsumption_resolution,[],[f1189,f422]) ).
fof(f1191,plain,
( spl53_3
| spl53_11 ),
inference(avatar_contradiction_clause,[],[f1190]) ).
fof(f1269,plain,
( sK49 != app(sK52,cons(sK51,nil))
| spl53_3 ),
inference(forward_subsumption_resolution,[],[f432,f483]) ).
fof(f1270,plain,
( sK50 = app(cons(sK51,nil),sK52)
| spl53_3 ),
inference(forward_subsumption_resolution,[],[f431,f483]) ).
fof(f1377,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sK51,X0) = app(cons(sK51,nil),X0) )
| ~ spl53_1 ),
inference(resolution,[],[f391,f475]) ).
fof(f1476,definition,
( spl53_15
<=> ssList(cons(sK51,nil)) ),
introduced(definition,[new_symbols(definition,[spl53_15])],[avatar_definition]) ).
fof(f1477,plain,
( ssList(cons(sK51,nil))
| ~ spl53_15 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f1478,plain,
( ~ ssList(cons(sK51,nil))
| spl53_15 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f1499,plain,
( ~ ssItem(sK51)
| ~ ssList(nil)
| spl53_15 ),
inference(resolution,[],[f1478,f304]) ).
fof(f1500,plain,
( ~ ssList(nil)
| ~ spl53_1
| spl53_15 ),
inference(forward_subsumption_resolution,[],[f1499,f475]) ).
fof(f1501,plain,
( $false
| ~ spl53_1
| spl53_15 ),
inference(forward_subsumption_resolution,[],[f1500,f305]) ).
fof(f1502,plain,
( ~ spl53_1
| spl53_15 ),
inference(avatar_contradiction_clause,[],[f1501]) ).
fof(f1647,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| hd(X0) = hd(app(X0,sK52)) )
| ~ spl53_4 ),
inference(resolution,[],[f397,f489]) ).
fof(f3400,plain,
( app(cons(sK51,nil),sK52) = cons(sK51,sK52)
| ~ spl53_1
| ~ spl53_4 ),
inference(resolution,[],[f1377,f489]) ).
fof(f4349,plain,
( sK50 = cons(sK51,sK52)
| ~ spl53_1
| spl53_3
| ~ spl53_4 ),
inference(forward_demodulation,[],[f3400,f1270]) ).
fof(f4352,plain,
( sK52 = tl(sK50)
| ~ spl53_1
| spl53_3
| ~ spl53_4 ),
inference(superposition,[],[f1174,f4349]) ).
fof(f4520,plain,
( nil = cons(sK51,nil)
| hd(cons(sK51,nil)) = hd(app(cons(sK51,nil),sK52))
| ~ spl53_4
| ~ spl53_15 ),
inference(resolution,[],[f1647,f1477]) ).
fof(f4560,plain,
( hd(cons(sK51,nil)) = hd(app(cons(sK51,nil),sK52))
| ~ spl53_1
| ~ spl53_4
| ~ spl53_15 ),
inference(forward_subsumption_resolution,[],[f4520,f697]) ).
fof(f4564,plain,
( hd(sK50) = hd(cons(sK51,nil))
| ~ spl53_1
| spl53_3
| ~ spl53_4
| ~ spl53_15 ),
inference(forward_demodulation,[],[f4560,f1270]) ).
fof(f4566,plain,
( sK51 = hd(sK50)
| ~ spl53_1
| spl53_3
| ~ spl53_4
| ~ spl53_15 ),
inference(forward_demodulation,[],[f4564,f837]) ).
fof(f4636,plain,
( sK49 = app(sK52,cons(hd(sK50),nil))
| ~ spl53_1
| spl53_3
| ~ spl53_4
| ~ spl53_6 ),
inference(superposition,[],[f505,f4352]) ).
fof(f4663,plain,
( sK49 = app(sK52,cons(sK51,nil))
| ~ spl53_1
| spl53_3
| ~ spl53_4
| ~ spl53_6
| ~ spl53_15 ),
inference(forward_demodulation,[],[f4636,f4566]) ).
fof(f4667,plain,
( $false
| ~ spl53_1
| spl53_3
| ~ spl53_4
| ~ spl53_6
| ~ spl53_15 ),
inference(forward_subsumption_resolution,[],[f4663,f1269]) ).
fof(f4668,plain,
( ~ spl53_1
| spl53_3
| ~ spl53_4
| ~ spl53_6
| ~ spl53_15 ),
inference(avatar_contradiction_clause,[],[f4667]) ).
cnf(s1,plain,
( spl53_1
| ~ spl53_2 ),
inference(sat_conversion,[],[f480]) ).
cnf(s2,plain,
( spl53_1
| spl53_3 ),
inference(sat_conversion,[],[f485]) ).
cnf(s3,plain,
( spl53_3
| spl53_4 ),
inference(sat_conversion,[],[f490]) ).
cnf(s4,plain,
( spl53_2
| ~ spl53_3 ),
inference(sat_conversion,[],[f494]) ).
cnf(s5,plain,
( ~ spl53_5
| spl53_6
| ~ spl53_7
| ~ spl53_8
| ~ spl53_9
| ~ spl53_10
| ~ spl53_11 ),
inference(sat_conversion,[],[f526]) ).
cnf(s6,plain,
( spl53_5
| ~ spl53_7
| ~ spl53_8 ),
inference(sat_conversion,[],[f593]) ).
cnf(s7,plain,
( spl53_3
| spl53_7 ),
inference(sat_conversion,[],[f597]) ).
cnf(s8,plain,
( spl53_8
| ~ spl53_9 ),
inference(sat_conversion,[],[f602]) ).
cnf(s9,plain,
( spl53_3
| spl53_9 ),
inference(sat_conversion,[],[f606]) ).
cnf(s12,plain,
( ~ spl53_1
| ~ spl53_2
| ~ spl53_3
| ~ spl53_4 ),
inference(sat_conversion,[],[f1160]) ).
cnf(s13,plain,
( ~ spl53_2
| spl53_4 ),
inference(sat_conversion,[],[f1164]) ).
cnf(s14,plain,
( spl53_3
| spl53_10 ),
inference(sat_conversion,[],[f1184]) ).
cnf(s15,plain,
( spl53_3
| spl53_11 ),
inference(sat_conversion,[],[f1191]) ).
cnf(s20,plain,
( ~ spl53_1
| spl53_15 ),
inference(sat_conversion,[],[f1502]) ).
cnf(s27,plain,
( ~ spl53_1
| spl53_3
| ~ spl53_4
| ~ spl53_6
| ~ spl53_15 ),
inference(sat_conversion,[],[f4668]) ).
cnf(s28,plain,
spl53_1,
inference(rat,[],[s4,s1,s2]) ).
cnf(s29,plain,
spl53_15,
inference(rat,[],[s20,s28]) ).
cnf(s30,plain,
spl53_3,
inference(rat,[],[s5,s27,s6,s8,s3,s7,s9,s14,s15,s28,s29]) ).
cnf(s31,plain,
spl53_2,
inference(rat,[],[s4,s30]) ).
cnf(s32,plain,
spl53_4,
inference(rat,[],[s13,s31]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s12,s30,s28,s32,s31]) ).
fof(f4671,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC314+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n016.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 09:06:03 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 7.00/1.35 % (3493879)Will run a generic schedule for satisfiability detection.
% 7.00/1.35 % (3493888)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=301366762:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.00/1.35 % (3493885)% WARNING: option uhcvi not known.
% 7.00/1.35 % (3493885)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3134915144:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.00/1.35 % (3493884)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4064271514_2999 on theBenchmark for (2999ds/0Mi)
% 7.00/1.35 % (3493886)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4151795932:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.00/1.35 % (3493887)dis+10_1_sil=32000:sp=arity:random_seed=89039119:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.00/1.35 % (3493889)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=115944744:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.00/1.35 % (3493890)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2224333434:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.00/1.35 % TRYING [1]
% 7.00/1.35 % TRYING [2]
% 7.00/1.35 % TRYING [3]
% 7.00/1.35 % (3493888)Instruction limit reached!
% 7.00/1.35 % (3493888)------------------------------
% 7.00/1.35 % (3493888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.35 % (3493888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.35 % (3493888)CaDiCaL version: 2.1.3
% 7.00/1.35 % (3493888)Termination reason: Instruction limit
% 7.00/1.35 % (3493888)Termination phase: Saturation
% 7.00/1.35 % (3493888)Time elapsed: 0.040 s
% 7.00/1.35 % (3493888)Peak memory usage: 13 MB
% 7.00/1.35 % (3493888)Instructions burned: 119 (million)
% 7.00/1.35 % TRYING [4]
% 7.00/1.35 % (3493898)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1531183434:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.00/1.35 % TRYING [1]
% 7.00/1.35 % TRYING [2]
% 7.00/1.35 % TRYING [3]
% 7.00/1.35 % (3493887)Instruction limit reached!
% 7.00/1.35 % (3493887)------------------------------
% 7.00/1.35 % (3493887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.35 % (3493887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.35 % (3493887)CaDiCaL version: 2.1.3
% 7.00/1.35 % (3493887)Termination reason: Instruction limit
% 7.00/1.35 % (3493887)Termination phase: Saturation
% 7.00/1.35 % (3493887)Time elapsed: 0.061 s
% 7.00/1.35 % (3493887)Peak memory usage: 13 MB
% 7.00/1.35 % (3493887)Instructions burned: 104 (million)
% 7.00/1.35 % TRYING [4]
% 7.00/1.35 % (3493889)Instruction limit reached!
% 7.00/1.35 % (3493889)------------------------------
% 7.00/1.35 % (3493889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.35 % (3493889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.35 % (3493889)CaDiCaL version: 2.1.3
% 7.00/1.35 % (3493889)Termination reason: Instruction limit
% 7.00/1.35 % (3493889)Termination phase: Saturation
% 7.00/1.35 % (3493889)Time elapsed: 0.075 s
% 7.00/1.35 % (3493889)Peak memory usage: 14 MB
% 7.00/1.35 % (3493889)Instructions burned: 131 (million)
% 7.00/1.35 % (3493900)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=606714414:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.00/1.35 % TRYING [5]
% 7.00/1.35 % TRYING [5]
% 7.00/1.35 % (3493890)Instruction limit reached!
% 7.00/1.35 % (3493890)------------------------------
% 7.00/1.35 % (3493890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.35 % (3493890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.35 % (3493890)CaDiCaL version: 2.1.3
% 7.00/1.35 % (3493890)Termination reason: Instruction limit
% 7.00/1.35 % (3493890)Termination phase: Saturation
% 7.00/1.35 % (3493890)Time elapsed: 0.094 s
% 7.00/1.35 % (3493890)Peak memory usage: 15 MB
% 7.00/1.35 % (3493890)Instructions burned: 160 (million)
% 7.00/1.35 % (3493901)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3188168067:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.00/1.35 % (3493903)ott-21_1_sil=16000:fs=off:random_seed=2213091474:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.00/1.35 % (3493900)Instruction limit reached!
% 7.00/1.35 % (3493900)------------------------------
% 7.00/1.35 % (3493900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.35 % (3493900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.35 % (3493900)CaDiCaL version: 2.1.3
% 7.00/1.35 % (3493900)Termination reason: Instruction limit
% 7.00/1.35 % (3493900)Termination phase: Saturation
% 7.00/1.35 % (3493900)Time elapsed: 0.077 s
% 7.00/1.35 % (3493900)Peak memory usage: 14 MB
% 7.00/1.35 % (3493900)Instructions burned: 136 (million)
% 7.00/1.35 % (3493906)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2594371108:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.00/1.35 % TRYING [6]
% 7.00/1.35 % (3493898)Instruction limit reached!
% 7.00/1.35 % (3493898)------------------------------
% 7.00/1.35 % (3493898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.35 % (3493898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.35 % (3493898)CaDiCaL version: 2.1.3
% 7.00/1.35 % (3493898)Termination reason: Instruction limit
% 7.00/1.35 % (3493898)Termination phase: Finite model building constraint generation
% 7.00/1.35 % (3493898)Time elapsed: 0.161 s
% 7.00/1.35 % (3493898)Peak memory usage: 29 MB
% 7.00/1.35 % (3493898)Instructions burned: 715 (million)
% 7.00/1.35 % (3493903)Instruction limit reached!
% 7.00/1.35 % (3493903)------------------------------
% 7.00/1.35 % (3493903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.35 % (3493903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.35 % (3493903)CaDiCaL version: 2.1.3
% 7.00/1.35 % (3493903)Termination reason: Instruction limit
% 7.00/1.35 % (3493903)Termination phase: Saturation
% 7.00/1.35 % (3493903)Time elapsed: 0.090 s
% 7.00/1.35 % (3493903)Peak memory usage: 13 MB
% 7.00/1.35 % (3493903)Instructions burned: 181 (million)
% 7.00/1.35 % TRYING [6]
% 7.00/1.35 % (3493909)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2811999816:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 7.00/1.35 % (3493908)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2861715433:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.00/1.35 % TRYING [1]
% 7.00/1.35 % TRYING [2]
% 7.00/1.35 % TRYING [3]
% 7.00/1.35 % TRYING [4]
% 7.00/1.35 % TRYING [5]
% 7.00/1.35 % (3493901)Instruction limit reached!
% 7.00/1.35 % (3493901)------------------------------
% 7.00/1.35 % (3493901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.35 % (3493901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.35 % (3493901)CaDiCaL version: 2.1.3
% 7.00/1.35 % (3493901)Termination reason: Instruction limit
% 7.00/1.35 % (3493901)Termination phase: Saturation
% 7.00/1.35 % (3493901)Time elapsed: 0.337 s
% 7.00/1.35 % (3493901)Peak memory usage: 24 MB
% 7.00/1.35 % (3493901)Instructions burned: 686 (million)
% 7.00/1.35 % (3493912)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=578775383:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 7.00/1.35 % TRYING [7]
% 7.00/1.35 % (3493906)Instruction limit reached!
% 7.00/1.35 % (3493906)------------------------------
% 7.00/1.35 % (3493906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.35 % (3493906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.35 % (3493906)CaDiCaL version: 2.1.3
% 7.00/1.35 % (3493906)Termination reason: Instruction limit
% 7.00/1.35 % (3493906)Termination phase: Saturation
% 7.00/1.35 % (3493906)Time elapsed: 0.327 s
% 7.00/1.35 % (3493906)Peak memory usage: 15 MB
% 7.00/1.35 % (3493906)Instructions burned: 477 (million)
% 7.00/1.35 % (3493914)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2812922476:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 7.00/1.35 % TRYING [14]
% 7.00/1.35 % (3493909)Instruction limit reached!
% 7.00/1.35 % (3493909)------------------------------
% 7.00/1.35 % (3493909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.35 % (3493909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.35 % (3493909)CaDiCaL version: 2.1.3
% 7.00/1.35 % (3493909)Termination reason: Instruction limit
% 7.00/1.35 % (3493909)Termination phase: Saturation
% 7.00/1.35 % (3493909)Time elapsed: 0.343 s
% 7.00/1.35 % (3493909)Peak memory usage: 26 MB
% 7.00/1.35 % (3493909)Instructions burned: 1182 (million)
% 7.00/1.35 % (3493916)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1993272656:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.00/1.35 % (3493908)Instruction limit reached!
% 7.00/1.35 % (3493908)------------------------------
% 7.00/1.35 % (3493908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.35 % (3493908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.35 % (3493908)CaDiCaL version: 2.1.3
% 7.00/1.35 % (3493908)Termination reason: Instruction limit
% 7.00/1.35 % (3493908)Termination phase: Finite model building SAT solving
% 7.00/1.35 % (3493908)Time elapsed: 0.349 s
% 7.00/1.35 % (3493908)Peak memory usage: 22 MB
% 7.00/1.35 % (3493908)Instructions burned: 866 (million)
% 7.00/1.35 % (3493918)fmb+10_1_sil=64000:random_seed=3308836036:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 7.00/1.35 % TRYING [1]
% 7.00/1.35 % TRYING [2]
% 7.00/1.35 % TRYING [3]
% 7.00/1.35 % TRYING [4]
% 7.00/1.35 % (3493912)Instruction limit reached!
% 7.00/1.35 % (3493912)------------------------------
% 7.00/1.35 % (3493912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.35 % (3493912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.35 % (3493912)CaDiCaL version: 2.1.3
% 7.00/1.35 % (3493912)Termination reason: Instruction limit
% 7.00/1.35 % (3493912)Termination phase: Finite model building constraint generation
% 7.00/1.35 % (3493912)Time elapsed: 0.322 s
% 7.00/1.35 % (3493912)Peak memory usage: 70 MB
% 7.00/1.35 % (3493912)Instructions burned: 890 (million)
% 7.00/1.35 % (3493920)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2312997215:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 7.00/1.35 % TRYING [5]
% 7.00/1.35 % TRYING [20]
% 7.00/1.35 % (3493916)Instruction limit reached!
% 7.00/1.35 % (3493916)------------------------------
% 7.00/1.35 % (3493916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.35 % (3493916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.35 % (3493916)CaDiCaL version: 2.1.3
% 7.00/1.35 % (3493916)Termination reason: Instruction limit
% 7.00/1.35 % (3493916)Termination phase: Saturation
% 7.00/1.35 % (3493916)Time elapsed: 0.249 s
% 7.00/1.35 % (3493916)Peak memory usage: 20 MB
% 7.00/1.35 % (3493916)Instructions burned: 881 (million)
% 7.00/1.35 % (3493922)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3973947538:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 7.00/1.35 % TRYING [8]
% 7.00/1.35 % (3493914)Instruction limit reached!
% 7.00/1.35 % (3493914)------------------------------
% 7.00/1.35 % (3493914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.35 % (3493914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.35 % (3493914)CaDiCaL version: 2.1.3
% 7.00/1.35 % (3493914)Termination reason: Instruction limit
% 7.00/1.35 % (3493914)Termination phase: Saturation
% 7.00/1.35 % (3493914)Time elapsed: 0.391 s
% 7.00/1.35 % (3493914)Peak memory usage: 22 MB
% 7.00/1.35 % (3493914)Instructions burned: 692 (million)
% 7.00/1.35 % (3493924)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=925267232:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 7.00/1.35 % (3493922)Instruction limit reached!
% 7.00/1.35 % (3493922)------------------------------
% 7.00/1.35 % (3493922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.35 % (3493922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.35 % (3493922)CaDiCaL version: 2.1.3
% 7.00/1.35 % (3493922)Termination reason: Instruction limit
% 7.00/1.35 % (3493922)Termination phase: Finite model building constraint generation
% 7.00/1.35 % (3493922)Time elapsed: 0.186 s
% 7.00/1.35 % (3493922)Peak memory usage: 70 MB
% 7.00/1.35 % (3493922)Instructions burned: 922 (million)
% 7.00/1.35 % (3493926)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=571359855:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 7.00/1.35 % (3493924) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3493879-3493924"...
% 7.00/1.35 % (3493924)...printing done.
% 7.00/1.35 % (3493924)Refutation found. Thanks to Tanya!
% 7.00/1.35 % SZS status Theorem for theBenchmark
% 7.00/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 7.00/1.35 % (3493924)------------------------------
% 7.00/1.35 % (3493924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.35 % (3493924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.35 % (3493924)CaDiCaL version: 2.1.3
% 7.00/1.35 % (3493924)Termination reason: Refutation
% 7.00/1.35 % (3493924)Time elapsed: 0.109 s
% 7.00/1.35 % (3493924)Peak memory usage: 14 MB
% 7.00/1.35 % (3493924)Instructions burned: 195 (million)
% 7.00/1.35 % (3493879)Success in time 1.104 s
% 7.00/1.35 % Vampire exiting
%------------------------------------------------------------------------------