%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC395+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 01:05:51 PM UTC 2026
% Result : Theorem 27.92s 7.83s
% Output : Refutation 27.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 24
% Syntax : Number of formulae : 185 ( 30 unt; 12 def)
% Number of atoms : 660 ( 103 equ)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 709 ( 234 ~; 396 |; 34 &)
% ( 18 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 13 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn 121 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax36) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ! [X4] :
( ~ ssItem(X4)
| ~ memberP(X0,X4)
| memberP(X1,X4) )
| ( nil != X2
& nil = X3 )
| ( ? [X5] :
( ssList(X5)
& X2 != X5
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& tl(X3) = X6
& app(X6,X7) = X5
& ? [X8] :
( ssItem(X8)
& cons(X8,nil) = X7
& hd(X3) = X8
& neq(nil,X3) )
& neq(nil,X3) ) ) )
& neq(X3,nil) ) ) ) ) ),
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
| ! [X4] :
( ~ ssItem(X4)
| ~ memberP(X0,X4)
| memberP(X1,X4) )
| ( nil != X2
& nil = X3 )
| ( ? [X5] :
( ssList(X5)
& X2 != X5
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ssList(X7)
& tl(X3) = X6
& app(X6,X7) = X5
& ? [X8] :
( ssItem(X8)
& cons(X8,nil) = X7
& hd(X3) = X8
& neq(nil,X3) )
& neq(nil,X3) ) ) )
& neq(X3,nil) ) ) ) ) ),
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(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(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(f132,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f148,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f192,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f193,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f192]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ? [X4] :
( ssItem(X4)
& memberP(X0,X4)
& ~ memberP(X1,X4) )
& ( nil = X2
| nil != X3 )
& ( ! [X5] :
( ~ ssList(X5)
| X2 = X5
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ ssList(X7)
| tl(X3) != X6
| app(X6,X7) != X5
| ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X7
| hd(X3) != X8
| ~ neq(nil,X3) )
| ~ neq(nil,X3) ) ) )
| ~ neq(X3,nil) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f302,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f304,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f305,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f313,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f315,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
inference(cnf_transformation,[],[f130]) ).
fof(f317,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f329,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f330,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X2,X0)
| memberP(app(X1,X2),X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f332,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f334,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1
| memberP(cons(X1,X2),X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f335,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f388,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f391,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f410,plain,
! [X8,X6,X7,X5] :
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| hd(sK50) != X8
| cons(X8,nil) != X7
| ~ ssItem(X8)
| app(X6,X7) != X5
| tl(sK50) != X6
| ~ ssList(X7)
| ~ ssList(X6)
| sK49 = X5
| ~ ssList(X5) ),
inference(cnf_transformation,[],[f221]) ).
fof(f411,plain,
~ memberP(sK48,sK51),
inference(cnf_transformation,[],[f221]) ).
fof(f412,plain,
memberP(sK47,sK51),
inference(cnf_transformation,[],[f221]) ).
fof(f413,plain,
ssItem(sK51),
inference(cnf_transformation,[],[f221]) ).
fof(f414,plain,
( nil != sK50
| nil = sK49 ),
inference(cnf_transformation,[],[f221]) ).
fof(f415,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f221]) ).
fof(f416,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f221]) ).
fof(f419,plain,
ssList(sK48),
inference(cnf_transformation,[],[f221]) ).
fof(f422,plain,
ssList(sK50),
inference(definition_unfolding,[],[f419,f416]) ).
fof(f423,plain,
memberP(sK49,sK51),
inference(definition_unfolding,[],[f412,f415]) ).
fof(f424,plain,
~ memberP(sK50,sK51),
inference(definition_unfolding,[],[f411,f416]) ).
fof(f440,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f334]) ).
fof(f450,plain,
! [X6,X7,X5] :
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| cons(hd(sK50),nil) != X7
| ~ ssItem(hd(sK50))
| app(X6,X7) != X5
| tl(sK50) != X6
| ~ ssList(X7)
| ~ ssList(X6)
| sK49 = X5
| ~ ssList(X5) ),
inference(equality_resolution,[],[f410]) ).
fof(f451,plain,
! [X6,X5] :
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| ~ ssItem(hd(sK50))
| app(X6,cons(hd(sK50),nil)) != X5
| tl(sK50) != X6
| ~ ssList(cons(hd(sK50),nil))
| ~ ssList(X6)
| sK49 = X5
| ~ ssList(X5) ),
inference(equality_resolution,[],[f450]) ).
fof(f452,plain,
! [X6] :
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| ~ ssItem(hd(sK50))
| tl(sK50) != X6
| ~ ssList(cons(hd(sK50),nil))
| ~ ssList(X6)
| sK49 = app(X6,cons(hd(sK50),nil))
| ~ ssList(app(X6,cons(hd(sK50),nil))) ),
inference(equality_resolution,[],[f451]) ).
fof(f453,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,[],[f452]) ).
fof(f534,plain,
! [X0,X1] :
( ~ neq(X0,X1)
| ssList(X1)
| X0 = X1
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f302]) ).
fof(f535,plain,
! [X0,X1] :
( ~ ssList(cons(X1,X0))
| ssItem(X1)
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f304]) ).
fof(f536,plain,
~ ssList(nil),
inference(consistent_polarity_flipping,[],[f305]) ).
fof(f544,plain,
! [X0] :
( ~ ssItem(hd(X0))
| nil = X0
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f313]) ).
fof(f546,plain,
! [X0] :
( ~ ssList(tl(X0))
| nil = X0
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f315]) ).
fof(f548,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ssList(X1)
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f317]) ).
fof(f561,plain,
! [X2,X0,X1] :
( ~ memberP(X2,X0)
| ssList(X1)
| ssList(X2)
| ssItem(X0)
| memberP(app(X1,X2),X0) ),
inference(consistent_polarity_flipping,[],[f330]) ).
fof(f562,plain,
! [X2,X0,X1] :
( ~ memberP(app(X1,X2),X0)
| ssList(X1)
| ssList(X2)
| memberP(X2,X0)
| memberP(X1,X0)
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f329]) ).
fof(f563,plain,
! [X2,X1] :
( ssItem(X1)
| ssItem(X1)
| ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(consistent_polarity_flipping,[],[f440]) ).
fof(f565,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| ssItem(X1)
| ssList(X2)
| memberP(X2,X0)
| X0 = X1
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f332]) ).
fof(f566,plain,
! [X0] :
( ~ memberP(nil,X0)
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f335]) ).
fof(f613,plain,
! [X0] :
( ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(consistent_polarity_flipping,[],[f388]) ).
fof(f616,plain,
! [X0,X1] :
( ssList(X0)
| ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(consistent_polarity_flipping,[],[f391]) ).
fof(f636,plain,
~ ssList(sK50),
inference(consistent_polarity_flipping,[],[f422]) ).
fof(f639,plain,
~ ssItem(sK51),
inference(consistent_polarity_flipping,[],[f413]) ).
fof(f640,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(consistent_polarity_flipping,[],[f453]) ).
fof(f644,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ssList(X2)
| ssItem(X1) ),
inference(duplicate_literal_removal,[],[f563]) ).
fof(f649,definition,
( spl52_1
<=> ssList(app(tl(sK50),cons(hd(sK50),nil))) ),
introduced(definition,[new_symbols(definition,[spl52_1])],[avatar_definition]) ).
fof(f651,plain,
( ssList(app(tl(sK50),cons(hd(sK50),nil)))
| ~ spl52_1 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f653,definition,
( spl52_2
<=> sK49 = app(tl(sK50),cons(hd(sK50),nil)) ),
introduced(definition,[new_symbols(definition,[spl52_2])],[avatar_definition]) ).
fof(f655,plain,
( sK49 = app(tl(sK50),cons(hd(sK50),nil))
| ~ spl52_2 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f657,definition,
( spl52_3
<=> ssList(tl(sK50)) ),
introduced(definition,[new_symbols(definition,[spl52_3])],[avatar_definition]) ).
fof(f658,plain,
( ~ ssList(tl(sK50))
| spl52_3 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f659,plain,
( ssList(tl(sK50))
| ~ spl52_3 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f661,definition,
( spl52_4
<=> ssList(cons(hd(sK50),nil)) ),
introduced(definition,[new_symbols(definition,[spl52_4])],[avatar_definition]) ).
fof(f662,plain,
( ~ ssList(cons(hd(sK50),nil))
| spl52_4 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f663,plain,
( ssList(cons(hd(sK50),nil))
| ~ spl52_4 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f665,definition,
( spl52_5
<=> ssItem(hd(sK50)) ),
introduced(definition,[new_symbols(definition,[spl52_5])],[avatar_definition]) ).
fof(f666,plain,
( ~ ssItem(hd(sK50))
| spl52_5 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f667,plain,
( ssItem(hd(sK50))
| ~ spl52_5 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f669,definition,
( spl52_6
<=> neq(nil,sK50) ),
introduced(definition,[new_symbols(definition,[spl52_6])],[avatar_definition]) ).
fof(f671,plain,
( neq(nil,sK50)
| ~ spl52_6 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f673,definition,
( spl52_7
<=> neq(sK50,nil) ),
introduced(definition,[new_symbols(definition,[spl52_7])],[avatar_definition]) ).
fof(f675,plain,
( neq(sK50,nil)
| ~ spl52_7 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f676,plain,
( spl52_1
| spl52_2
| spl52_3
| spl52_4
| spl52_5
| spl52_6
| spl52_7 ),
inference(avatar_split_clause,[],[f640,f673,f669,f665,f661,f657,f653,f649]) ).
fof(f678,definition,
( spl52_8
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl52_8])],[avatar_definition]) ).
fof(f680,plain,
( nil = sK49
| ~ spl52_8 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f682,definition,
( spl52_9
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl52_9])],[avatar_definition]) ).
fof(f684,plain,
( nil != sK50
| spl52_9 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f685,plain,
( spl52_8
| ~ spl52_9 ),
inference(avatar_split_clause,[],[f414,f682,f678]) ).
fof(f691,definition,
( spl52_11
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl52_11])],[avatar_definition]) ).
fof(f692,plain,
( ~ ssList(nil)
| spl52_11 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f720,plain,
~ spl52_11,
inference(avatar_split_clause,[],[f536,f691]) ).
fof(f977,plain,
( memberP(nil,sK51)
| ~ spl52_8 ),
inference(superposition,[],[f423,f680]) ).
fof(f1009,plain,
( ssItem(sK51)
| ~ spl52_8 ),
inference(resolution,[],[f977,f566]) ).
fof(f1010,plain,
( $false
| ~ spl52_8 ),
inference(forward_subsumption_resolution,[],[f1009,f639]) ).
fof(f1011,plain,
~ spl52_8,
inference(avatar_contradiction_clause,[],[f1010]) ).
fof(f1182,plain,
( nil = sK50
| sK50 = cons(hd(sK50),tl(sK50)) ),
inference(resolution,[],[f613,f636]) ).
fof(f1183,plain,
( sK50 = cons(hd(sK50),tl(sK50))
| spl52_9 ),
inference(forward_subsumption_resolution,[],[f1182,f684]) ).
fof(f1241,plain,
( nil = sK50
| ssList(sK50)
| ~ spl52_3 ),
inference(resolution,[],[f659,f546]) ).
fof(f1242,plain,
( ssList(sK50)
| ~ spl52_3
| spl52_9 ),
inference(forward_subsumption_resolution,[],[f1241,f684]) ).
fof(f1243,plain,
( $false
| ~ spl52_3
| spl52_9 ),
inference(forward_subsumption_resolution,[],[f1242,f636]) ).
fof(f1244,plain,
( ~ spl52_3
| spl52_9 ),
inference(avatar_contradiction_clause,[],[f1243]) ).
fof(f1278,plain,
( ssItem(hd(sK50))
| ssList(nil)
| ~ spl52_4 ),
inference(resolution,[],[f663,f535]) ).
fof(f1279,plain,
( ssItem(hd(sK50))
| ~ spl52_4
| spl52_11 ),
inference(forward_subsumption_resolution,[],[f1278,f692]) ).
fof(f1280,plain,
( spl52_5
| ~ spl52_4
| spl52_11 ),
inference(avatar_split_clause,[],[f1279,f691,f661,f665]) ).
fof(f1281,plain,
( ssList(sK50)
| nil = sK50
| ssList(nil)
| ~ spl52_6 ),
inference(resolution,[],[f671,f534]) ).
fof(f1284,plain,
( nil = sK50
| ssList(nil)
| ~ spl52_6 ),
inference(forward_subsumption_resolution,[],[f1281,f636]) ).
fof(f1294,plain,
( ssList(nil)
| ~ spl52_6
| spl52_9 ),
inference(forward_subsumption_resolution,[],[f1284,f684]) ).
fof(f1295,plain,
( $false
| ~ spl52_6
| spl52_9
| spl52_11 ),
inference(forward_subsumption_resolution,[],[f1294,f692]) ).
fof(f1296,plain,
( ~ spl52_6
| spl52_9
| spl52_11 ),
inference(avatar_contradiction_clause,[],[f1295]) ).
fof(f1297,plain,
( ssList(nil)
| nil = sK50
| ssList(sK50)
| ~ spl52_7 ),
inference(resolution,[],[f675,f534]) ).
fof(f1300,plain,
( nil = sK50
| ssList(sK50)
| ~ spl52_7
| spl52_11 ),
inference(forward_subsumption_resolution,[],[f1297,f692]) ).
fof(f1302,plain,
( ssList(sK50)
| ~ spl52_7
| spl52_9
| spl52_11 ),
inference(forward_subsumption_resolution,[],[f1300,f684]) ).
fof(f1303,plain,
( $false
| ~ spl52_7
| spl52_9
| spl52_11 ),
inference(forward_subsumption_resolution,[],[f1302,f636]) ).
fof(f1304,plain,
( ~ spl52_7
| spl52_9
| spl52_11 ),
inference(avatar_contradiction_clause,[],[f1303]) ).
fof(f1371,plain,
( ssList(cons(hd(sK50),nil))
| ssList(tl(sK50))
| ~ spl52_1 ),
inference(resolution,[],[f651,f548]) ).
fof(f1376,plain,
( ssList(cons(hd(sK50),nil))
| ~ spl52_1
| spl52_3 ),
inference(forward_subsumption_resolution,[],[f1371,f658]) ).
fof(f1377,plain,
( spl52_4
| ~ spl52_1
| spl52_3 ),
inference(avatar_split_clause,[],[f1376,f657,f649,f661]) ).
fof(f1378,plain,
( nil = sK50
| ssList(sK50)
| ~ spl52_5 ),
inference(resolution,[],[f667,f544]) ).
fof(f1379,plain,
( ssList(sK50)
| ~ spl52_5
| spl52_9 ),
inference(forward_subsumption_resolution,[],[f1378,f684]) ).
fof(f1380,plain,
( $false
| ~ spl52_5
| spl52_9 ),
inference(forward_subsumption_resolution,[],[f1379,f636]) ).
fof(f1381,plain,
( ~ spl52_5
| spl52_9 ),
inference(avatar_contradiction_clause,[],[f1380]) ).
fof(f1544,plain,
( ! [X0] :
( ssItem(X0)
| cons(X0,tl(sK50)) = app(cons(X0,nil),tl(sK50)) )
| spl52_3 ),
inference(resolution,[],[f616,f658]) ).
fof(f2421,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ssList(tl(sK50))
| ssList(cons(hd(sK50),nil))
| memberP(cons(hd(sK50),nil),X0)
| memberP(tl(sK50),X0)
| ssItem(X0) )
| ~ spl52_2 ),
inference(superposition,[],[f562,f655]) ).
fof(f2425,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ssList(cons(hd(sK50),nil))
| memberP(cons(hd(sK50),nil),X0)
| memberP(tl(sK50),X0)
| ssItem(X0) )
| ~ spl52_2
| spl52_3 ),
inference(forward_subsumption_resolution,[],[f2421,f658]) ).
fof(f2426,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| memberP(cons(hd(sK50),nil),X0)
| memberP(tl(sK50),X0)
| ssItem(X0) )
| ~ spl52_2
| spl52_3
| spl52_4 ),
inference(forward_subsumption_resolution,[],[f2425,f662]) ).
fof(f3523,plain,
( memberP(sK50,hd(sK50))
| ssList(tl(sK50))
| ssItem(hd(sK50))
| spl52_9 ),
inference(superposition,[],[f644,f1183]) ).
fof(f3528,plain,
( memberP(sK50,hd(sK50))
| ssItem(hd(sK50))
| spl52_3
| spl52_9 ),
inference(forward_subsumption_resolution,[],[f3523,f658]) ).
fof(f3557,plain,
( memberP(sK50,hd(sK50))
| spl52_3
| spl52_5
| spl52_9 ),
inference(forward_subsumption_resolution,[],[f3528,f666]) ).
fof(f5392,plain,
( cons(hd(sK50),tl(sK50)) = app(cons(hd(sK50),nil),tl(sK50))
| spl52_3
| spl52_5 ),
inference(resolution,[],[f1544,f666]) ).
fof(f5416,plain,
( sK50 = app(cons(hd(sK50),nil),tl(sK50))
| spl52_3
| spl52_5
| spl52_9 ),
inference(forward_demodulation,[],[f5392,f1183]) ).
fof(f7369,plain,
( memberP(cons(hd(sK50),nil),sK51)
| memberP(tl(sK50),sK51)
| ssItem(sK51)
| ~ spl52_2
| spl52_3
| spl52_4 ),
inference(resolution,[],[f2426,f423]) ).
fof(f7376,plain,
( memberP(cons(hd(sK50),nil),sK51)
| memberP(tl(sK50),sK51)
| ~ spl52_2
| spl52_3
| spl52_4 ),
inference(forward_subsumption_resolution,[],[f7369,f639]) ).
fof(f7405,definition,
( spl52_330
<=> memberP(tl(sK50),sK51) ),
introduced(definition,[new_symbols(definition,[spl52_330])],[avatar_definition]) ).
fof(f7407,plain,
( memberP(tl(sK50),sK51)
| ~ spl52_330 ),
inference(avatar_component_clause,[],[f7405]) ).
fof(f7409,definition,
( spl52_331
<=> memberP(cons(hd(sK50),nil),sK51) ),
introduced(definition,[new_symbols(definition,[spl52_331])],[avatar_definition]) ).
fof(f7411,plain,
( memberP(cons(hd(sK50),nil),sK51)
| ~ spl52_331 ),
inference(avatar_component_clause,[],[f7409]) ).
fof(f7412,plain,
( spl52_330
| spl52_331
| ~ spl52_2
| spl52_3
| spl52_4 ),
inference(avatar_split_clause,[],[f7376,f661,f657,f653,f7409,f7405]) ).
fof(f7530,plain,
( ! [X0] :
( ssList(X0)
| ssList(tl(sK50))
| ssItem(sK51)
| memberP(app(X0,tl(sK50)),sK51) )
| ~ spl52_330 ),
inference(resolution,[],[f7407,f561]) ).
fof(f7537,plain,
( ! [X0] :
( ssList(X0)
| ssItem(sK51)
| memberP(app(X0,tl(sK50)),sK51) )
| spl52_3
| ~ spl52_330 ),
inference(forward_subsumption_resolution,[],[f7530,f658]) ).
fof(f7543,plain,
( ! [X0] :
( memberP(app(X0,tl(sK50)),sK51)
| ssList(X0) )
| spl52_3
| ~ spl52_330 ),
inference(forward_subsumption_resolution,[],[f7537,f639]) ).
fof(f18829,plain,
( ssItem(hd(sK50))
| ssList(nil)
| memberP(nil,sK51)
| sK51 = hd(sK50)
| ssItem(sK51)
| ~ spl52_331 ),
inference(resolution,[],[f7411,f565]) ).
fof(f18842,plain,
( ssList(nil)
| memberP(nil,sK51)
| sK51 = hd(sK50)
| ssItem(sK51)
| spl52_5
| ~ spl52_331 ),
inference(forward_subsumption_resolution,[],[f18829,f666]) ).
fof(f18849,plain,
( memberP(nil,sK51)
| sK51 = hd(sK50)
| ssItem(sK51)
| spl52_5
| spl52_11
| ~ spl52_331 ),
inference(forward_subsumption_resolution,[],[f18842,f692]) ).
fof(f18850,plain,
( sK51 = hd(sK50)
| ssItem(sK51)
| spl52_5
| spl52_11
| ~ spl52_331 ),
inference(forward_subsumption_resolution,[],[f18849,f566]) ).
fof(f18851,plain,
( sK51 = hd(sK50)
| spl52_5
| spl52_11
| ~ spl52_331 ),
inference(forward_subsumption_resolution,[],[f18850,f639]) ).
fof(f19099,plain,
( memberP(sK50,sK51)
| spl52_3
| spl52_5
| spl52_9
| spl52_11
| ~ spl52_331 ),
inference(superposition,[],[f3557,f18851]) ).
fof(f19114,plain,
( $false
| spl52_3
| spl52_5
| spl52_9
| spl52_11
| ~ spl52_331 ),
inference(forward_subsumption_resolution,[],[f19099,f424]) ).
fof(f19115,plain,
( spl52_3
| spl52_5
| spl52_9
| spl52_11
| ~ spl52_331 ),
inference(avatar_contradiction_clause,[],[f19114]) ).
fof(f449439,plain,
( memberP(sK50,sK51)
| ssList(cons(hd(sK50),nil))
| spl52_3
| spl52_5
| spl52_9
| ~ spl52_330 ),
inference(superposition,[],[f7543,f5416]) ).
fof(f449449,plain,
( ssList(cons(hd(sK50),nil))
| spl52_3
| spl52_5
| spl52_9
| ~ spl52_330 ),
inference(forward_subsumption_resolution,[],[f449439,f424]) ).
fof(f449456,plain,
( $false
| spl52_3
| spl52_4
| spl52_5
| spl52_9
| ~ spl52_330 ),
inference(forward_subsumption_resolution,[],[f449449,f662]) ).
fof(f449457,plain,
( spl52_3
| spl52_4
| spl52_5
| spl52_9
| ~ spl52_330 ),
inference(avatar_contradiction_clause,[],[f449456]) ).
cnf(s1,plain,
( spl52_1
| spl52_2
| spl52_3
| spl52_4
| spl52_5
| spl52_6
| spl52_7 ),
inference(sat_conversion,[],[f676]) ).
cnf(s2,plain,
( spl52_8
| ~ spl52_9 ),
inference(sat_conversion,[],[f685]) ).
cnf(s11,plain,
~ spl52_11,
inference(sat_conversion,[],[f720]) ).
cnf(s13,plain,
~ spl52_8,
inference(sat_conversion,[],[f1011]) ).
cnf(s25,plain,
( ~ spl52_3
| spl52_9 ),
inference(sat_conversion,[],[f1244]) ).
cnf(s30,plain,
( ~ spl52_4
| spl52_5
| spl52_11 ),
inference(sat_conversion,[],[f1280]) ).
cnf(s32,plain,
( ~ spl52_6
| spl52_9
| spl52_11 ),
inference(sat_conversion,[],[f1296]) ).
cnf(s34,plain,
( ~ spl52_7
| spl52_9
| spl52_11 ),
inference(sat_conversion,[],[f1304]) ).
cnf(s46,plain,
( ~ spl52_1
| spl52_3
| spl52_4 ),
inference(sat_conversion,[],[f1377]) ).
cnf(s47,plain,
( ~ spl52_5
| spl52_9 ),
inference(sat_conversion,[],[f1381]) ).
cnf(s672,plain,
( ~ spl52_2
| spl52_3
| spl52_4
| spl52_330
| spl52_331 ),
inference(sat_conversion,[],[f7412]) ).
cnf(s1132,plain,
( spl52_3
| spl52_5
| spl52_9
| spl52_11
| ~ spl52_331 ),
inference(sat_conversion,[],[f19115]) ).
cnf(s43415,plain,
( spl52_3
| spl52_4
| spl52_5
| spl52_9
| ~ spl52_330 ),
inference(sat_conversion,[],[f449457]) ).
cnf(s46381,plain,
~ spl52_9,
inference(rat,[],[s2,s13]) ).
cnf(s46468,plain,
~ spl52_5,
inference(rat,[],[s47,s46381]) ).
cnf(s46469,plain,
~ spl52_7,
inference(rat,[],[s34,s11,s46381]) ).
cnf(s46470,plain,
~ spl52_6,
inference(rat,[],[s32,s11,s46381]) ).
cnf(s46471,plain,
~ spl52_3,
inference(rat,[],[s25,s46381]) ).
cnf(s47361,plain,
~ spl52_4,
inference(rat,[],[s30,s11,s46468]) ).
cnf(s47458,plain,
~ spl52_331,
inference(rat,[],[s1132,s46468,s11,s46381,s46471]) ).
cnf(s47473,plain,
~ spl52_1,
inference(rat,[],[s46,s47361,s46471]) ).
cnf(s47578,plain,
~ spl52_330,
inference(rat,[],[s43415,s46471,s46381,s46468,s47361]) ).
cnf(s48279,plain,
~ spl52_2,
inference(rat,[],[s672,s47458,s46471,s47361,s47578]) ).
cnf(s48655,plain,
$false,
inference(rat,[],[s1,s46469,s46470,s46468,s47361,s46471,s48279,s47473]) ).
fof(f449458,plain,
$false,
inference(avatar_sat_refutation,[],[s48655]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC395+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n026.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 09:29:57 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.63/2.38 % (3721120)Will run a generic schedule for satisfiability detection.
% 14.63/2.38 % (3721126)% WARNING: option uhcvi not known.
% 14.63/2.38 % (3721126)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2453428385:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.63/2.38 % (3721125)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2347265764_2999 on theBenchmark for (2999ds/0Mi)
% 14.63/2.38 % (3721127)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1092989941:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.63/2.38 % (3721128)dis+10_1_sil=32000:sp=arity:random_seed=1094504035:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.63/2.38 % (3721129)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3054562660:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.63/2.38 % (3721130)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1636724115:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.63/2.38 % (3721131)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3419110752:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.63/2.38 % TRYING [1]
% 14.63/2.38 % TRYING [2]
% 14.63/2.38 % TRYING [3]
% 14.63/2.38 % TRYING [4]
% 14.63/2.38 % (3721128)Instruction limit reached!
% 14.63/2.38 % (3721128)------------------------------
% 14.63/2.38 % (3721128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.63/2.38 % (3721128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.63/2.38 % (3721128)CaDiCaL version: 2.1.3
% 14.63/2.38 % (3721128)Termination reason: Instruction limit
% 14.63/2.38 % (3721128)Termination phase: Saturation
% 14.63/2.38 % (3721128)Time elapsed: 0.060 s
% 14.63/2.38 % (3721128)Peak memory usage: 13 MB
% 14.63/2.38 % (3721128)Instructions burned: 103 (million)
% 14.63/2.38 % (3721129)Instruction limit reached!
% 14.63/2.38 % (3721129)------------------------------
% 14.63/2.38 % (3721129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.63/2.38 % (3721129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.63/2.38 % (3721129)CaDiCaL version: 2.1.3
% 14.63/2.38 % (3721129)Termination reason: Instruction limit
% 14.63/2.38 % (3721129)Termination phase: Saturation
% 14.63/2.38 % (3721129)Time elapsed: 0.069 s
% 14.63/2.38 % (3721129)Peak memory usage: 13 MB
% 14.63/2.38 % (3721129)Instructions burned: 116 (million)
% 14.63/2.38 % (3721130)Instruction limit reached!
% 14.63/2.38 % (3721130)------------------------------
% 14.63/2.38 % (3721130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.63/2.38 % (3721130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.63/2.38 % (3721130)CaDiCaL version: 2.1.3
% 14.63/2.38 % (3721130)Termination reason: Instruction limit
% 14.63/2.38 % (3721130)Termination phase: Saturation
% 14.63/2.38 % (3721130)Time elapsed: 0.074 s
% 14.63/2.38 % (3721130)Peak memory usage: 14 MB
% 14.63/2.38 % (3721130)Instructions burned: 132 (million)
% 14.63/2.38 % (3721139)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=218398955:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 14.63/2.38 % (3721140)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2027962390:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.63/2.38 % TRYING [5]
% 14.63/2.38 % (3721141)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=330960960:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.63/2.38 % TRYING [1]
% 14.63/2.38 % TRYING [2]
% 14.63/2.38 % (3721131)Instruction limit reached!
% 14.63/2.38 % (3721131)------------------------------
% 14.63/2.38 % (3721131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.63/2.38 % (3721131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.63/2.38 % (3721131)CaDiCaL version: 2.1.3
% 14.63/2.38 % (3721131)Termination reason: Instruction limit
% 14.63/2.38 % (3721131)Termination phase: Saturation
% 14.63/2.38 % (3721131)Time elapsed: 0.098 s
% 14.63/2.38 % (3721131)Peak memory usage: 15 MB
% 14.63/2.38 % (3721131)Instructions burned: 160 (million)
% 14.63/2.38 % TRYING [3]
% 14.63/2.38 % TRYING [4]
% 14.63/2.38 % (3721145)ott-21_1_sil=16000:fs=off:random_seed=2719529609:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.63/2.38 % (3721140)Instruction limit reached!
% 14.63/2.38 % (3721140)------------------------------
% 14.63/2.38 % (3721140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.26/6.93 % (3721140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.26/6.93 % (3721140)CaDiCaL version: 2.1.3
% 47.26/6.93 % (3721140)Termination reason: Instruction limit
% 47.26/6.93 % (3721140)Termination phase: Saturation
% 47.26/6.93 % (3721140)Time elapsed: 0.072 s
% 47.26/6.93 % (3721140)Peak memory usage: 14 MB
% 47.26/6.93 % (3721140)Instructions burned: 132 (million)
% 47.26/6.93 % TRYING [5]
% 47.26/6.93 % (3721147)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3460187341:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 47.26/6.93 % (3721145)Instruction limit reached!
% 47.26/6.93 % (3721145)------------------------------
% 47.26/6.93 % (3721145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.26/6.93 % (3721145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.26/6.93 % (3721145)CaDiCaL version: 2.1.3
% 47.26/6.93 % (3721145)Termination reason: Instruction limit
% 47.26/6.93 % (3721145)Termination phase: Saturation
% 47.26/6.93 % (3721145)Time elapsed: 0.092 s
% 47.26/6.93 % (3721145)Peak memory usage: 13 MB
% 47.26/6.93 % (3721145)Instructions burned: 181 (million)
% 47.26/6.93 % TRYING [6]
% 47.26/6.93 % (3721149)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1756608812:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 47.26/6.93 % TRYING [1]
% 47.26/6.93 % TRYING [2]
% 47.26/6.93 % TRYING [3]
% 47.26/6.93 % TRYING [4]
% 47.26/6.93 % TRYING [6]
% 47.26/6.93 % (3721139)Instruction limit reached!
% 47.26/6.93 % (3721139)------------------------------
% 47.26/6.93 % (3721139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.26/6.93 % (3721139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.26/6.93 % (3721139)CaDiCaL version: 2.1.3
% 47.26/6.93 % (3721139)Termination reason: Instruction limit
% 47.26/6.93 % (3721139)Termination phase: Finite model building constraint generation
% 47.26/6.93 % (3721139)Time elapsed: 0.289 s
% 47.26/6.93 % (3721139)Peak memory usage: 27 MB
% 47.26/6.93 % (3721139)Instructions burned: 716 (million)
% 47.26/6.93 % (3721151)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3462627819:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 47.26/6.93 % TRYING [5]
% 47.26/6.93 % (3721141)Instruction limit reached!
% 47.26/6.93 % (3721141)------------------------------
% 47.26/6.93 % (3721141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.26/6.93 % (3721141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.26/6.93 % (3721141)CaDiCaL version: 2.1.3
% 47.26/6.93 % (3721141)Termination reason: Instruction limit
% 47.26/6.93 % (3721141)Termination phase: Saturation
% 47.26/6.93 % (3721141)Time elapsed: 0.381 s
% 47.26/6.93 % (3721141)Peak memory usage: 22 MB
% 47.26/6.93 % (3721141)Instructions burned: 686 (million)
% 47.26/6.93 % TRYING [7]
% 47.26/6.93 % (3721153)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3804205113:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 47.26/6.93 % (3721147)Instruction limit reached!
% 47.26/6.93 % (3721147)------------------------------
% 47.26/6.93 % (3721147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.26/6.93 % (3721147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.26/6.93 % (3721147)CaDiCaL version: 2.1.3
% 47.26/6.93 % (3721147)Termination reason: Instruction limit
% 47.26/6.93 % (3721147)Termination phase: Saturation
% 47.26/6.93 % (3721147)Time elapsed: 0.327 s
% 47.26/6.93 % (3721147)Peak memory usage: 14 MB
% 47.26/6.93 % (3721147)Instructions burned: 478 (million)
% 47.26/6.93 % (3721155)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=1737260137: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)
% 47.26/6.93 % (3721149)Instruction limit reached!
% 47.26/6.93 % (3721149)------------------------------
% 47.26/6.93 % (3721149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.26/6.93 % (3721149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.26/6.93 % (3721149)CaDiCaL version: 2.1.3
% 47.26/6.93 % (3721149)Termination reason: Instruction limit
% 47.26/6.93 % (3721149)Termination phase: Finite model building SAT solving
% 47.26/6.93 % (3721149)Time elapsed: 0.345 s
% 47.26/6.93 % (3721149)Peak memory usage: 24 MB
% 47.26/6.93 % (3721149)Instructions burned: 866 (million)
% 47.26/6.93 % (3721157)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1518811464:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 47.26/6.93 % TRYING [14]
% 27.92/7.83 % (3721153)Instruction limit reached!
% 27.92/7.83 % (3721153)------------------------------
% 27.92/7.83 % (3721153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.92/7.83 % (3721153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.92/7.83 % (3721153)CaDiCaL version: 2.1.3
% 27.92/7.83 % (3721153)Termination reason: Instruction limit
% 27.92/7.83 % (3721153)Termination phase: Finite model building constraint generation
% 27.92/7.83 % (3721153)Time elapsed: 0.319 s
% 27.92/7.83 % (3721153)Peak memory usage: 70 MB
% 27.92/7.83 % (3721153)Instructions burned: 889 (million)
% 27.92/7.83 % (3721159)fmb+10_1_sil=64000:random_seed=3212241421:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 27.92/7.83 % TRYING [1]
% 27.92/7.83 % TRYING [2]
% 27.92/7.83 % TRYING [3]
% 27.92/7.83 % (3721155)Instruction limit reached!
% 27.92/7.83 % (3721155)------------------------------
% 27.92/7.83 % (3721155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.92/7.83 % (3721155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.92/7.83 % (3721155)CaDiCaL version: 2.1.3
% 27.92/7.83 % (3721155)Termination reason: Instruction limit
% 27.92/7.83 % (3721155)Termination phase: Saturation
% 27.92/7.83 % (3721155)Time elapsed: 0.368 s
% 27.92/7.83 % (3721155)Peak memory usage: 26 MB
% 27.92/7.83 % (3721155)Instructions burned: 692 (million)
% 27.92/7.83 % TRYING [4]
% 27.92/7.83 % (3721161)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2814977600:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 27.92/7.83 % TRYING [20]
% 27.92/7.83 % TRYING [5]
% 27.92/7.83 % (3721151)Instruction limit reached!
% 27.92/7.83 % (3721151)------------------------------
% 27.92/7.83 % (3721151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.92/7.83 % (3721151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.92/7.83 % (3721151)CaDiCaL version: 2.1.3
% 27.92/7.83 % (3721151)Termination reason: Instruction limit
% 27.92/7.83 % (3721151)Termination phase: Saturation
% 27.92/7.83 % (3721151)Time elapsed: 0.656 s
% 27.92/7.83 % (3721151)Peak memory usage: 26 MB
% 27.92/7.83 % (3721151)Instructions burned: 1180 (million)
% 27.92/7.83 % (3721157)Instruction limit reached!
% 27.92/7.83 % (3721157)------------------------------
% 27.92/7.83 % (3721157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.92/7.83 % (3721157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.92/7.83 % (3721157)CaDiCaL version: 2.1.3
% 27.92/7.83 % (3721157)Termination reason: Instruction limit
% 27.92/7.83 % (3721157)Termination phase: Saturation
% 27.92/7.83 % (3721157)Time elapsed: 0.455 s
% 27.92/7.83 % (3721157)Peak memory usage: 21 MB
% 27.92/7.83 % (3721157)Instructions burned: 880 (million)
% 27.92/7.83 % (3721163)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4047568018:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 27.92/7.83 % (3721164)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=947979489:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 27.92/7.83 % TRYING [8]
% 27.92/7.83 % TRYING [8]
% 27.92/7.83 % TRYING [6]
% 27.92/7.83 % (3721163)Instruction limit reached!
% 27.92/7.83 % (3721163)------------------------------
% 27.92/7.83 % (3721163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.92/7.83 % (3721163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.92/7.83 % (3721163)CaDiCaL version: 2.1.3
% 27.92/7.83 % (3721163)Termination reason: Instruction limit
% 27.92/7.83 % (3721163)Termination phase: Finite model building constraint generation
% 27.92/7.83 % (3721163)Time elapsed: 0.338 s
% 27.92/7.83 % (3721163)Peak memory usage: 70 MB
% 27.92/7.83 % (3721163)Instructions burned: 923 (million)
% 27.92/7.83 % (3721167)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2169007089:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 27.92/7.83 % TRYING [7]
% 27.92/7.83 % (3721167)Instruction limit reached!
% 27.92/7.83 % (3721167)------------------------------
% 27.92/7.83 % (3721167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.92/7.83 % (3721167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.92/7.83 % (3721167)CaDiCaL version: 2.1.3
% 27.92/7.83 % (3721167)Termination reason: Instruction limit
% 27.92/7.83 % (3721167)Termination phase: Saturation
% 27.92/7.83 % (3721167)Time elapsed: 0.655 s
% 27.92/7.83 % (3721167)Peak memory usage: 16 MB
% 27.92/7.83 % (3721167)Instructions burned: 1473 (million)
% 27.92/7.83 % (3721169)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=329005190:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 27.92/7.83 % TRYING [77]
% 27.92/7.83 % TRYING [9]
% 27.92/7.83 % TRYING [8]
% 27.92/7.83 % (3721164)Instruction limit reached!
% 27.92/7.83 % (3721164)------------------------------
% 27.92/7.83 % (3721164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.92/7.83 % (3721164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.92/7.83 % (3721164)CaDiCaL version: 2.1.3
% 27.92/7.83 % (3721164)Termination reason: Instruction limit
% 27.92/7.83 % (3721164)Termination phase: Saturation
% 27.92/7.83 % (3721164)Time elapsed: 2.867 s
% 27.92/7.83 % (3721164)Peak memory usage: 53 MB
% 27.92/7.83 % (3721164)Instructions burned: 5133 (million)
% 27.92/7.83 % (3721171)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3708794660:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 27.92/7.83 % TRYING [16]
% 27.92/7.83 % (3721161)Instruction limit reached!
% 27.92/7.83 % (3721161)------------------------------
% 27.92/7.83 % (3721161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.92/7.83 % (3721161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.92/7.83 % (3721161)CaDiCaL version: 2.1.3
% 27.92/7.83 % (3721161)Termination reason: Instruction limit
% 27.92/7.83 % (3721161)Termination phase: Finite model building constraint generation
% 27.92/7.83 % (3721161)Time elapsed: 3.336 s
% 27.92/7.83 % (3721161)Peak memory usage: 558 MB
% 27.92/7.83 % (3721161)Instructions burned: 9518 (million)
% 27.92/7.83 % (3721173)ott-2_1_sil=16000:newcnf=on:random_seed=523117837:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2956 on theBenchmark for (2956ds/869Mi)
% 27.92/7.83 % (3721169)Instruction limit reached!
% 27.92/7.83 % (3721169)------------------------------
% 27.92/7.83 % (3721169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.92/7.83 % (3721169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.92/7.83 % (3721169)CaDiCaL version: 2.1.3
% 27.92/7.83 % (3721169)Termination reason: Instruction limit
% 27.92/7.83 % (3721169)Termination phase: Finite model building constraint generation
% 27.92/7.83 % (3721169)Time elapsed: 2.349 s
% 27.92/7.83 % (3721169)Peak memory usage: 517 MB
% 27.92/7.83 % (3721169)Instructions burned: 6326 (million)
% 27.92/7.83 % (3721175)ott+10_1_sil=32000:tgt=ground:random_seed=1520399410:i=5114:av=off_2954 on theBenchmark for (2954ds/5114Mi)
% 27.92/7.83 % (3721171)Instruction limit reached!
% 27.92/7.83 % (3721171)------------------------------
% 27.92/7.83 % (3721171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.92/7.83 % (3721171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.92/7.83 % (3721171)CaDiCaL version: 2.1.3
% 27.92/7.83 % (3721171)Termination reason: Instruction limit
% 27.92/7.83 % (3721171)Termination phase: Finite model building constraint generation
% 27.92/7.83 % (3721171)Time elapsed: 0.748 s
% 27.92/7.83 % (3721171)Peak memory usage: 138 MB
% 27.92/7.83 % (3721171)Instructions burned: 2174 (million)
% 27.92/7.83 % (3721177)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3980710581:i=54282_2952 on theBenchmark for (2952ds/54282Mi)
% 27.92/7.83 % TRYING [1]
% 27.92/7.83 % TRYING [2]
% 27.92/7.83 % TRYING [3]
% 27.92/7.83 % TRYING [4]
% 27.92/7.83 % (3721173)Instruction limit reached!
% 27.92/7.83 % (3721173)------------------------------
% 27.92/7.83 % (3721173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.92/7.83 % (3721173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.92/7.83 % (3721173)CaDiCaL version: 2.1.3
% 27.92/7.83 % (3721173)Termination reason: Instruction limit
% 27.92/7.83 % (3721173)Termination phase: Saturation
% 27.92/7.83 % (3721173)Time elapsed: 0.468 s
% 27.92/7.83 % (3721173)Peak memory usage: 23 MB
% 27.92/7.83 % (3721173)Instructions burned: 870 (million)
% 27.92/7.83 % (3721179)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=633487305:i=3512:aac=none_2951 on theBenchmark for (2951ds/3512Mi)
% 27.92/7.83 % TRYING [5]
% 27.92/7.83 % TRYING [6]
% 27.92/7.83 % TRYING [10]
% 27.92/7.83 % TRYING [7]
% 27.92/7.83 % TRYING [8]
% 27.92/7.83 % TRYING [9]
% 27.92/7.83 % (3721179)Instruction limit reached!
% 27.92/7.83 % (3721179)------------------------------
% 27.92/7.83 % (3721179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.92/7.83 % (3721179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.92/7.83 % (3721179)CaDiCaL version: 2.1.3
% 27.92/7.83 % (3721179)Termination reason: Instruction limit
% 27.92/7.83 % (3721179)Termination phase: Saturation
% 27.92/7.83 % (3721179)Time elapsed: 1.822 s
% 27.92/7.83 % (3721179)Peak memory usage: 42 MB
% 27.92/7.83 % (3721179)Instructions burned: 3513 (million)
% 27.92/7.83 % (3721181)dis+21_1_sil=32000:sas=cadical:random_seed=2104722389:i=3773:amm=off_2932 on theBenchmark for (2932ds/3773Mi)
% 27.92/7.83 % TRYING [9]
% 27.92/7.83 % (3721175)Instruction limit reached!
% 27.92/7.83 % (3721175)------------------------------
% 27.92/7.83 % (3721175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.92/7.83 % (3721175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.92/7.83 % (3721175)CaDiCaL version: 2.1.3
% 27.92/7.83 % (3721175)Termination reason: Instruction limit
% 27.92/7.83 % (3721175)Termination phase: Saturation
% 27.92/7.83 % (3721175)Time elapsed: 2.815 s
% 27.92/7.83 % (3721175)Peak memory usage: 65 MB
% 27.92/7.83 % (3721175)Instructions burned: 5115 (million)
% 27.92/7.83 % (3721183)ott+11_1_sil=16000:gs=on:random_seed=3499347012:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2925 on theBenchmark for (2925ds/2251Mi)
% 27.92/7.83 % (3721126) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3721120-3721126"...
% 27.92/7.83 % (3721126)...printing done.
% 27.92/7.83 % (3721126)Refutation found. Thanks to Tanya!
% 27.92/7.83 % SZS status Theorem for theBenchmark
% 27.92/7.83 % SZS output start Proof for theBenchmark
% See solution above
% 27.92/7.84 % (3721126)------------------------------
% 27.92/7.84 % (3721126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.92/7.84 % (3721126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.92/7.84 % (3721126)CaDiCaL version: 2.1.3
% 27.92/7.84 % (3721126)Termination reason: Refutation
% 27.92/7.84 % (3721126)Time elapsed: 7.501 s
% 27.92/7.84 % (3721126)Peak memory usage: 229 MB
% 27.92/7.84 % (3721126)Instructions burned: 26243 (million)
% 27.92/7.84 % (3721120)Success in time 7.607 s
% 27.92/7.84 % Vampire exiting
%------------------------------------------------------------------------------