%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC087+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 : n010.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 01:04:36 PM UTC 2026
% Result : Theorem 7.46s 2.71s
% Output : Refutation 7.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 28
% Syntax : Number of formulae : 192 ( 30 unt; 14 def)
% Number of atoms : 699 ( 110 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 914 ( 407 ~; 408 |; 52 &)
% ( 20 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 15 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn 110 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax4) ).
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(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(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax39) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ( ~ neq(X1,nil)
| ? [X4] :
( ssList(X4)
& neq(X4,nil)
& segmentP(X1,X4)
& segmentP(X0,X4) )
| ? [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(X1,nil)
| neq(X3,nil) ) ) ) ) ) ) ),
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
| ( ( ~ neq(X1,nil)
| ? [X4] :
( ssList(X4)
& neq(X4,nil)
& segmentP(X1,X4)
& segmentP(X0,X4) )
| ? [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(X1,nil)
| neq(X3,nil) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f100,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
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(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(f134,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
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(f201,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ( neq(X1,nil)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(X1,X4)
| ~ segmentP(X0,X4) )
& ! [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(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ( neq(X1,nil)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(X1,X4)
| ~ segmentP(X0,X4) )
& ! [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(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f234,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(X1,nil) != X0
| ~ ssItem(X1)
| singletonP(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f241,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(f303,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X1)
| X0 = X1
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f304,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f305,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f306,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f314,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f316,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f318,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f320,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f337,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f389,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f392,plain,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f397,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f412,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,[],[f222]) ).
fof(f413,plain,
! [X4] :
( ~ neq(sK50,nil)
| ~ segmentP(sK47,X4)
| ~ segmentP(sK48,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f222]) ).
fof(f415,plain,
neq(sK48,nil),
inference(cnf_transformation,[],[f222]) ).
fof(f417,plain,
ssList(sK50),
inference(cnf_transformation,[],[f222]) ).
fof(f418,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f419,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f222]) ).
fof(f420,plain,
ssList(sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f426,plain,
neq(sK50,nil),
inference(definition_unfolding,[],[f415,f419]) ).
fof(f428,plain,
! [X4] :
( ~ neq(sK50,nil)
| ~ segmentP(sK49,X4)
| ~ segmentP(sK50,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f413,f418,f419]) ).
fof(f432,plain,
! [X1] :
( ~ ssList(cons(X1,nil))
| ~ ssItem(X1)
| singletonP(cons(X1,nil)) ),
inference(equality_resolution,[],[f234]) ).
fof(f435,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,[],[f241]) ).
fof(f444,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f304]) ).
fof(f455,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,[],[f412]) ).
fof(f456,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,[],[f455]) ).
fof(f457,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,[],[f456]) ).
fof(f458,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,[],[f457]) ).
fof(f463,plain,
! [X1] :
( ~ singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(consistent_polarity_flipping,[],[f432]) ).
fof(f472,plain,
! [X2,X3,X1] :
( ~ ssList(app(app(X2,X1),X3))
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(app(app(X2,X1),X3),X1) ),
inference(consistent_polarity_flipping,[],[f435]) ).
fof(f489,plain,
singletonP(nil),
inference(consistent_polarity_flipping,[],[f337]) ).
fof(f516,plain,
! [X4] :
( ~ neq(sK50,nil)
| segmentP(sK49,X4)
| segmentP(sK50,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) ),
inference(consistent_polarity_flipping,[],[f428]) ).
fof(f521,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f444]) ).
fof(f525,definition,
( spl51_1
<=> ssList(app(tl(sK50),cons(hd(sK50),nil))) ),
introduced(definition,[new_symbols(definition,[spl51_1])],[avatar_definition]) ).
fof(f527,plain,
( ~ ssList(app(tl(sK50),cons(hd(sK50),nil)))
| spl51_1 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f529,definition,
( spl51_2
<=> sK49 = app(tl(sK50),cons(hd(sK50),nil)) ),
introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).
fof(f531,plain,
( sK49 = app(tl(sK50),cons(hd(sK50),nil))
| ~ spl51_2 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f533,definition,
( spl51_3
<=> ssList(tl(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_3])],[avatar_definition]) ).
fof(f534,plain,
( ssList(tl(sK50))
| ~ spl51_3 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f535,plain,
( ~ ssList(tl(sK50))
| spl51_3 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f537,definition,
( spl51_4
<=> ssList(cons(hd(sK50),nil)) ),
introduced(definition,[new_symbols(definition,[spl51_4])],[avatar_definition]) ).
fof(f538,plain,
( ssList(cons(hd(sK50),nil))
| ~ spl51_4 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f539,plain,
( ~ ssList(cons(hd(sK50),nil))
| spl51_4 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f541,definition,
( spl51_5
<=> ssItem(hd(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_5])],[avatar_definition]) ).
fof(f542,plain,
( ssItem(hd(sK50))
| ~ spl51_5 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f543,plain,
( ~ ssItem(hd(sK50))
| spl51_5 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f545,definition,
( spl51_6
<=> neq(nil,sK50) ),
introduced(definition,[new_symbols(definition,[spl51_6])],[avatar_definition]) ).
fof(f547,plain,
( ~ neq(nil,sK50)
| spl51_6 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f549,definition,
( spl51_7
<=> neq(sK50,nil) ),
introduced(definition,[new_symbols(definition,[spl51_7])],[avatar_definition]) ).
fof(f551,plain,
( neq(sK50,nil)
| ~ spl51_7 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f553,plain,
( ~ spl51_1
| spl51_2
| ~ spl51_3
| ~ spl51_4
| ~ spl51_5
| ~ spl51_6
| ~ spl51_7 ),
inference(avatar_split_clause,[],[f458,f549,f545,f541,f537,f533,f529,f525]) ).
fof(f555,definition,
( spl51_8
<=> ! [X4] :
( segmentP(sK49,X4)
| ~ ssList(X4)
| ~ neq(X4,nil)
| segmentP(sK50,X4) ) ),
introduced(definition,[new_symbols(definition,[spl51_8])],[avatar_definition]) ).
fof(f556,plain,
( ! [X4] :
( ~ neq(X4,nil)
| ~ ssList(X4)
| segmentP(sK49,X4)
| segmentP(sK50,X4) )
| ~ spl51_8 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f557,plain,
( spl51_8
| ~ spl51_7 ),
inference(avatar_split_clause,[],[f516,f549,f555]) ).
fof(f559,plain,
spl51_7,
inference(avatar_split_clause,[],[f426,f549]) ).
fof(f565,definition,
( spl51_10
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl51_10])],[avatar_definition]) ).
fof(f566,plain,
( ssList(nil)
| ~ spl51_10 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f594,plain,
spl51_10,
inference(avatar_split_clause,[],[f306,f565]) ).
fof(f641,plain,
sK49 = app(sK49,nil),
inference(resolution,[],[f397,f420]) ).
fof(f649,plain,
( ~ ssList(cons(hd(sK50),nil))
| ~ ssList(tl(sK50))
| spl51_1 ),
inference(resolution,[],[f318,f527]) ).
fof(f658,plain,
( ~ spl51_3
| ~ spl51_4
| spl51_1 ),
inference(avatar_split_clause,[],[f649,f525,f537,f533]) ).
fof(f659,plain,
( nil = sK50
| ~ ssList(sK50)
| spl51_3 ),
inference(resolution,[],[f535,f316]) ).
fof(f660,plain,
( nil = sK50
| spl51_3 ),
inference(forward_subsumption_resolution,[],[f659,f417]) ).
fof(f669,plain,
( neq(nil,nil)
| spl51_3
| ~ spl51_7 ),
inference(superposition,[],[f551,f660]) ).
fof(f689,plain,
( ~ ssList(nil)
| spl51_3
| ~ spl51_7 ),
inference(resolution,[],[f669,f521]) ).
fof(f690,plain,
( $false
| spl51_3
| ~ spl51_7
| ~ spl51_10 ),
inference(forward_subsumption_resolution,[],[f689,f566]) ).
fof(f691,plain,
( spl51_3
| ~ spl51_7
| ~ spl51_10 ),
inference(avatar_contradiction_clause,[],[f690]) ).
fof(f697,plain,
( ~ ssItem(hd(sK50))
| ~ ssList(nil)
| spl51_4 ),
inference(resolution,[],[f539,f305]) ).
fof(f698,plain,
( ~ ssItem(hd(sK50))
| spl51_4
| ~ spl51_10 ),
inference(forward_subsumption_resolution,[],[f697,f566]) ).
fof(f699,plain,
( ~ spl51_5
| spl51_4
| ~ spl51_10 ),
inference(avatar_split_clause,[],[f698,f565,f537,f541]) ).
fof(f700,plain,
( nil = sK50
| ~ ssList(sK50)
| spl51_5 ),
inference(resolution,[],[f543,f314]) ).
fof(f701,plain,
( nil = sK50
| spl51_5 ),
inference(forward_subsumption_resolution,[],[f700,f417]) ).
fof(f707,plain,
( neq(nil,nil)
| spl51_5
| ~ spl51_7 ),
inference(superposition,[],[f551,f701]) ).
fof(f717,plain,
( ~ ssList(nil)
| spl51_5
| ~ spl51_7 ),
inference(resolution,[],[f707,f521]) ).
fof(f718,plain,
( $false
| spl51_5
| ~ spl51_7
| ~ spl51_10 ),
inference(forward_subsumption_resolution,[],[f717,f566]) ).
fof(f719,plain,
( spl51_5
| ~ spl51_7
| ~ spl51_10 ),
inference(avatar_contradiction_clause,[],[f718]) ).
fof(f724,plain,
( cons(hd(sK50),nil) = app(nil,cons(hd(sK50),nil))
| ~ spl51_4 ),
inference(resolution,[],[f538,f320]) ).
fof(f739,definition,
( spl51_19
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl51_19])],[avatar_definition]) ).
fof(f740,plain,
( nil != sK50
| spl51_19 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f741,plain,
( nil = sK50
| ~ spl51_19 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f751,plain,
( ! [X0] :
( ~ ssList(nil)
| nil = X0
| ~ ssList(X0)
| ~ ssList(X0)
| segmentP(sK49,X0)
| segmentP(sK50,X0) )
| ~ spl51_8 ),
inference(resolution,[],[f303,f556]) ).
fof(f754,plain,
( ~ ssList(sK50)
| nil = sK50
| ~ ssList(nil)
| spl51_6 ),
inference(resolution,[],[f303,f547]) ).
fof(f757,plain,
( ! [X0] :
( ~ ssList(nil)
| nil = X0
| ~ ssList(X0)
| segmentP(sK49,X0)
| segmentP(sK50,X0) )
| ~ spl51_8 ),
inference(duplicate_literal_removal,[],[f751]) ).
fof(f758,plain,
( nil = sK50
| ~ ssList(nil)
| spl51_6 ),
inference(forward_subsumption_resolution,[],[f754,f417]) ).
fof(f759,plain,
( ! [X0] :
( segmentP(sK49,X0)
| ~ ssList(X0)
| nil = X0
| segmentP(sK50,X0) )
| ~ spl51_8
| ~ spl51_10 ),
inference(forward_subsumption_resolution,[],[f757,f566]) ).
fof(f760,plain,
( nil = sK50
| spl51_6
| ~ spl51_10 ),
inference(forward_subsumption_resolution,[],[f758,f566]) ).
fof(f761,plain,
( spl51_19
| spl51_6
| ~ spl51_10 ),
inference(avatar_split_clause,[],[f760,f565,f545,f739]) ).
fof(f872,definition,
( spl51_30
<=> nil = cons(hd(sK50),nil) ),
introduced(definition,[new_symbols(definition,[spl51_30])],[avatar_definition]) ).
fof(f873,plain,
( nil != cons(hd(sK50),nil)
| spl51_30 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f874,plain,
( nil = cons(hd(sK50),nil)
| ~ spl51_30 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f960,plain,
( neq(nil,nil)
| ~ spl51_7
| ~ spl51_19 ),
inference(superposition,[],[f551,f741]) ).
fof(f1065,plain,
( nil = sK50
| sK50 = cons(hd(sK50),tl(sK50)) ),
inference(resolution,[],[f389,f417]) ).
fof(f1066,plain,
( sK50 = cons(hd(sK50),tl(sK50))
| spl51_19 ),
inference(forward_subsumption_resolution,[],[f1065,f740]) ).
fof(f1113,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(hd(sK50),X0) = app(cons(hd(sK50),nil),X0) )
| ~ spl51_5 ),
inference(resolution,[],[f392,f542]) ).
fof(f1271,plain,
( ~ singletonP(nil)
| ~ ssItem(hd(sK50))
| ~ ssList(nil)
| ~ spl51_30 ),
inference(superposition,[],[f463,f874]) ).
fof(f1284,plain,
( ~ ssItem(hd(sK50))
| ~ ssList(nil)
| ~ spl51_30 ),
inference(forward_subsumption_resolution,[],[f1271,f489]) ).
fof(f1291,plain,
( ~ ssList(nil)
| ~ spl51_5
| ~ spl51_30 ),
inference(forward_subsumption_resolution,[],[f1284,f542]) ).
fof(f1294,plain,
( $false
| ~ spl51_5
| ~ spl51_10
| ~ spl51_30 ),
inference(forward_subsumption_resolution,[],[f1291,f566]) ).
fof(f1295,plain,
( ~ spl51_5
| ~ spl51_10
| ~ spl51_30 ),
inference(avatar_contradiction_clause,[],[f1294]) ).
fof(f1448,definition,
( spl51_54
<=> sK50 = cons(hd(sK50),tl(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_54])],[avatar_definition]) ).
fof(f1450,plain,
( sK50 = cons(hd(sK50),tl(sK50))
| ~ spl51_54 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1532,plain,
( spl51_54
| spl51_19 ),
inference(avatar_split_clause,[],[f1066,f739,f1448]) ).
fof(f1809,plain,
( ~ ssList(nil)
| ~ spl51_7
| ~ spl51_19 ),
inference(resolution,[],[f960,f521]) ).
fof(f1810,plain,
( $false
| ~ spl51_7
| ~ spl51_10
| ~ spl51_19 ),
inference(forward_subsumption_resolution,[],[f1809,f566]) ).
fof(f1811,plain,
( ~ spl51_7
| ~ spl51_10
| ~ spl51_19 ),
inference(avatar_contradiction_clause,[],[f1810]) ).
fof(f2009,plain,
( ! [X0] :
( ~ ssList(app(sK49,X0))
| ~ ssList(cons(hd(sK50),nil))
| ~ ssList(X0)
| ~ ssList(tl(sK50))
| ~ segmentP(app(sK49,X0),cons(hd(sK50),nil)) )
| ~ spl51_2 ),
inference(superposition,[],[f472,f531]) ).
fof(f2014,plain,
( ! [X0] :
( ~ ssList(app(sK49,X0))
| ~ ssList(X0)
| ~ ssList(tl(sK50))
| ~ segmentP(app(sK49,X0),cons(hd(sK50),nil)) )
| ~ spl51_2
| ~ spl51_4 ),
inference(forward_subsumption_resolution,[],[f2009,f538]) ).
fof(f2018,plain,
( ! [X0] :
( ~ segmentP(app(sK49,X0),cons(hd(sK50),nil))
| ~ ssList(X0)
| ~ ssList(app(sK49,X0)) )
| ~ spl51_2
| ~ spl51_3
| ~ spl51_4 ),
inference(forward_subsumption_resolution,[],[f2014,f534]) ).
fof(f3640,plain,
( ! [X0] :
( ~ ssList(app(cons(hd(sK50),nil),X0))
| ~ ssList(cons(hd(sK50),nil))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(app(cons(hd(sK50),nil),X0),cons(hd(sK50),nil)) )
| ~ spl51_4 ),
inference(superposition,[],[f472,f724]) ).
fof(f3653,plain,
( ! [X0] :
( ~ ssList(cons(hd(sK50),nil))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(app(cons(hd(sK50),nil),X0),cons(hd(sK50),nil)) )
| ~ spl51_4 ),
inference(forward_subsumption_resolution,[],[f3640,f318]) ).
fof(f3665,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(app(cons(hd(sK50),nil),X0),cons(hd(sK50),nil)) )
| ~ spl51_4 ),
inference(forward_subsumption_resolution,[],[f3653,f538]) ).
fof(f3675,plain,
( ! [X0] :
( ~ segmentP(app(cons(hd(sK50),nil),X0),cons(hd(sK50),nil))
| ~ ssList(X0) )
| ~ spl51_4
| ~ spl51_10 ),
inference(forward_subsumption_resolution,[],[f3665,f566]) ).
fof(f4140,definition,
( spl51_293
<=> segmentP(sK49,cons(hd(sK50),nil)) ),
introduced(definition,[new_symbols(definition,[spl51_293])],[avatar_definition]) ).
fof(f4141,plain,
( ~ segmentP(sK49,cons(hd(sK50),nil))
| spl51_293 ),
inference(avatar_component_clause,[],[f4140]) ).
fof(f4272,definition,
( spl51_311
<=> segmentP(sK50,cons(hd(sK50),nil)) ),
introduced(definition,[new_symbols(definition,[spl51_311])],[avatar_definition]) ).
fof(f4274,plain,
( segmentP(sK50,cons(hd(sK50),nil))
| ~ spl51_311 ),
inference(avatar_component_clause,[],[f4272]) ).
fof(f4433,plain,
( cons(hd(sK50),tl(sK50)) = app(cons(hd(sK50),nil),tl(sK50))
| ~ spl51_3
| ~ spl51_5 ),
inference(resolution,[],[f1113,f534]) ).
fof(f4464,plain,
( sK50 = app(cons(hd(sK50),nil),tl(sK50))
| ~ spl51_3
| ~ spl51_5
| ~ spl51_54 ),
inference(forward_demodulation,[],[f4433,f1450]) ).
fof(f4995,plain,
( ~ segmentP(sK49,cons(hd(sK50),nil))
| ~ ssList(nil)
| ~ ssList(sK49)
| ~ spl51_2
| ~ spl51_3
| ~ spl51_4 ),
inference(superposition,[],[f2018,f641]) ).
fof(f4997,plain,
( ~ segmentP(sK49,cons(hd(sK50),nil))
| ~ ssList(sK49)
| ~ spl51_2
| ~ spl51_3
| ~ spl51_4
| ~ spl51_10 ),
inference(forward_subsumption_resolution,[],[f4995,f566]) ).
fof(f4999,plain,
( ~ segmentP(sK49,cons(hd(sK50),nil))
| ~ spl51_2
| ~ spl51_3
| ~ spl51_4
| ~ spl51_10 ),
inference(forward_subsumption_resolution,[],[f4997,f420]) ).
fof(f5000,plain,
( ~ spl51_293
| ~ spl51_2
| ~ spl51_3
| ~ spl51_4
| ~ spl51_10 ),
inference(avatar_split_clause,[],[f4999,f565,f537,f533,f529,f4140]) ).
fof(f43354,plain,
( ~ ssList(cons(hd(sK50),nil))
| nil = cons(hd(sK50),nil)
| segmentP(sK50,cons(hd(sK50),nil))
| ~ spl51_8
| ~ spl51_10
| spl51_293 ),
inference(resolution,[],[f4141,f759]) ).
fof(f43381,plain,
( nil = cons(hd(sK50),nil)
| segmentP(sK50,cons(hd(sK50),nil))
| ~ spl51_4
| ~ spl51_8
| ~ spl51_10
| spl51_293 ),
inference(forward_subsumption_resolution,[],[f43354,f538]) ).
fof(f43395,plain,
( segmentP(sK50,cons(hd(sK50),nil))
| ~ spl51_4
| ~ spl51_8
| ~ spl51_10
| spl51_30
| spl51_293 ),
inference(forward_subsumption_resolution,[],[f43381,f873]) ).
fof(f43444,plain,
( spl51_311
| ~ spl51_4
| ~ spl51_8
| ~ spl51_10
| spl51_30
| spl51_293 ),
inference(avatar_split_clause,[],[f43395,f4140,f872,f565,f555,f537,f4272]) ).
fof(f97452,plain,
( ~ segmentP(sK50,cons(hd(sK50),nil))
| ~ ssList(tl(sK50))
| ~ spl51_3
| ~ spl51_4
| ~ spl51_5
| ~ spl51_10
| ~ spl51_54 ),
inference(superposition,[],[f3675,f4464]) ).
fof(f97457,plain,
( ~ ssList(tl(sK50))
| ~ spl51_3
| ~ spl51_4
| ~ spl51_5
| ~ spl51_10
| ~ spl51_54
| ~ spl51_311 ),
inference(forward_subsumption_resolution,[],[f97452,f4274]) ).
fof(f97472,plain,
( $false
| ~ spl51_3
| ~ spl51_4
| ~ spl51_5
| ~ spl51_10
| ~ spl51_54
| ~ spl51_311 ),
inference(forward_subsumption_resolution,[],[f97457,f534]) ).
fof(f97473,plain,
( ~ spl51_3
| ~ spl51_4
| ~ spl51_5
| ~ spl51_10
| ~ spl51_54
| ~ spl51_311 ),
inference(avatar_contradiction_clause,[],[f97472]) ).
cnf(s2,plain,
( ~ spl51_1
| spl51_2
| ~ spl51_3
| ~ spl51_4
| ~ spl51_5
| ~ spl51_6
| ~ spl51_7 ),
inference(sat_conversion,[],[f553]) ).
cnf(s3,plain,
( ~ spl51_7
| spl51_8 ),
inference(sat_conversion,[],[f557]) ).
cnf(s5,plain,
spl51_7,
inference(sat_conversion,[],[f559]) ).
cnf(s14,plain,
spl51_10,
inference(sat_conversion,[],[f594]) ).
cnf(s17,plain,
( spl51_1
| ~ spl51_3
| ~ spl51_4 ),
inference(sat_conversion,[],[f658]) ).
cnf(s18,plain,
( spl51_3
| ~ spl51_7
| ~ spl51_10 ),
inference(sat_conversion,[],[f691]) ).
cnf(s19,plain,
( spl51_4
| ~ spl51_5
| ~ spl51_10 ),
inference(sat_conversion,[],[f699]) ).
cnf(s20,plain,
( spl51_5
| ~ spl51_7
| ~ spl51_10 ),
inference(sat_conversion,[],[f719]) ).
cnf(s23,plain,
( spl51_6
| ~ spl51_10
| spl51_19 ),
inference(sat_conversion,[],[f761]) ).
cnf(s49,plain,
( ~ spl51_5
| ~ spl51_10
| ~ spl51_30 ),
inference(sat_conversion,[],[f1295]) ).
cnf(s68,plain,
( spl51_19
| spl51_54 ),
inference(sat_conversion,[],[f1532]) ).
cnf(s86,plain,
( ~ spl51_7
| ~ spl51_10
| ~ spl51_19 ),
inference(sat_conversion,[],[f1811]) ).
cnf(s372,plain,
( ~ spl51_2
| ~ spl51_3
| ~ spl51_4
| ~ spl51_10
| ~ spl51_293 ),
inference(sat_conversion,[],[f5000]) ).
cnf(s4478,plain,
( ~ spl51_4
| ~ spl51_8
| ~ spl51_10
| spl51_30
| spl51_293
| spl51_311 ),
inference(sat_conversion,[],[f43444]) ).
cnf(s13828,plain,
( ~ spl51_3
| ~ spl51_4
| ~ spl51_5
| ~ spl51_10
| ~ spl51_54
| ~ spl51_311 ),
inference(sat_conversion,[],[f97473]) ).
cnf(s14031,plain,
~ spl51_19,
inference(rat,[],[s86,s14,s5]) ).
cnf(s14032,plain,
spl51_5,
inference(rat,[],[s20,s14,s5]) ).
cnf(s14033,plain,
spl51_3,
inference(rat,[],[s18,s14,s5]) ).
cnf(s14041,plain,
spl51_54,
inference(rat,[],[s68,s14031]) ).
cnf(s14046,plain,
spl51_6,
inference(rat,[],[s23,s14,s14031]) ).
cnf(s14050,plain,
~ spl51_30,
inference(rat,[],[s49,s14,s14032]) ).
cnf(s14051,plain,
spl51_4,
inference(rat,[],[s19,s14,s14032]) ).
cnf(s14063,plain,
spl51_1,
inference(rat,[],[s17,s14051,s14033]) ).
cnf(s14187,plain,
~ spl51_311,
inference(rat,[],[s13828,s14033,s14041,s14,s14032,s14051]) ).
cnf(s14307,plain,
spl51_8,
inference(rat,[],[s3,s5]) ).
cnf(s14308,plain,
spl51_293,
inference(rat,[],[s4478,s14187,s14051,s14050,s14,s14307]) ).
cnf(s14310,plain,
~ spl51_2,
inference(rat,[],[s372,s14033,s14,s14051,s14308]) ).
cnf(s14312,plain,
$false,
inference(rat,[],[s2,s5,s14046,s14032,s14051,s14033,s14310,s14063]) ).
fof(f97487,plain,
$false,
inference(avatar_sat_refutation,[],[s14312]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC087+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 07:49:03 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 Running first-order model finding
% 0.10/0.39 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
% 14.84/2.59 % (1751299)Will run a generic schedule for satisfiability detection.
% 14.84/2.59 % (1751306)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2293632496:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.84/2.59 % (1751305)% WARNING: option uhcvi not known.
% 14.84/2.59 % (1751304)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2737486626_2999 on theBenchmark for (2999ds/0Mi)
% 14.84/2.59 % (1751307)dis+10_1_sil=32000:sp=arity:random_seed=1364365709:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.84/2.59 % (1751308)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3415550500:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.84/2.59 % (1751309)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=506794428:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.84/2.59 % (1751310)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2923698883:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.84/2.59 % (1751305)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2115950456:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.84/2.59 % TRYING [1]
% 14.84/2.59 % TRYING [2]
% 14.84/2.59 % TRYING [3]
% 14.84/2.59 % TRYING [4]
% 14.84/2.59 % (1751307)Instruction limit reached!
% 14.84/2.59 % (1751307)------------------------------
% 14.84/2.59 % (1751307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.84/2.59 % (1751307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/2.59 % (1751307)CaDiCaL version: 2.1.3
% 14.84/2.59 % (1751307)Termination reason: Instruction limit
% 14.84/2.59 % (1751307)Termination phase: Saturation
% 14.84/2.59 % (1751307)Time elapsed: 0.061 s
% 14.84/2.59 % (1751307)Peak memory usage: 13 MB
% 14.84/2.59 % (1751307)Instructions burned: 103 (million)
% 14.84/2.59 % (1751308)Instruction limit reached!
% 14.84/2.59 % (1751308)------------------------------
% 14.84/2.59 % (1751308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.84/2.59 % (1751308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/2.59 % (1751308)CaDiCaL version: 2.1.3
% 14.84/2.59 % (1751308)Termination reason: Instruction limit
% 14.84/2.59 % (1751308)Termination phase: Saturation
% 14.84/2.59 % (1751308)Time elapsed: 0.071 s
% 14.84/2.59 % (1751308)Peak memory usage: 13 MB
% 14.84/2.59 % (1751308)Instructions burned: 117 (million)
% 14.84/2.59 % (1751309)Instruction limit reached!
% 14.84/2.59 % (1751309)------------------------------
% 14.84/2.59 % (1751309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.84/2.59 % (1751309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/2.59 % (1751309)CaDiCaL version: 2.1.3
% 14.84/2.59 % (1751309)Termination reason: Instruction limit
% 14.84/2.59 % (1751309)Termination phase: Saturation
% 14.84/2.59 % (1751309)Time elapsed: 0.079 s
% 14.84/2.59 % (1751309)Peak memory usage: 14 MB
% 14.84/2.59 % (1751309)Instructions burned: 132 (million)
% 14.84/2.59 % (1751318)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1518225587:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.84/2.59 % TRYING [5]
% 14.84/2.59 % (1751319)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2358520615:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.84/2.59 % TRYING [1]
% 14.84/2.59 % TRYING [2]
% 14.84/2.59 % (1751310)Instruction limit reached!
% 14.84/2.59 % (1751310)------------------------------
% 14.84/2.59 % (1751310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.84/2.59 % (1751310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/2.59 % (1751310)CaDiCaL version: 2.1.3
% 14.84/2.59 % (1751310)Termination reason: Instruction limit
% 14.84/2.59 % (1751310)Termination phase: Saturation
% 14.84/2.59 % (1751310)Time elapsed: 0.098 s
% 14.84/2.59 % (1751310)Peak memory usage: 14 MB
% 14.84/2.59 % (1751310)Instructions burned: 159 (million)
% 14.84/2.59 % (1751320)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=1218090740:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.84/2.59 % TRYING [3]
% 14.84/2.59 % (1751324)ott-21_1_sil=16000:fs=off:random_seed=908744260:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.84/2.59 % TRYING [4]
% 14.84/2.59 % (1751319)Instruction limit reached!
% 14.84/2.59 % (1751319)------------------------------
% 14.84/2.59 % (1751319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/2.71 % (1751319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/2.71 % (1751319)CaDiCaL version: 2.1.3
% 7.46/2.71 % (1751319)Termination reason: Instruction limit
% 7.46/2.71 % (1751319)Termination phase: Saturation
% 7.46/2.71 % (1751319)Time elapsed: 0.070 s
% 7.46/2.71 % (1751319)Peak memory usage: 13 MB
% 7.46/2.71 % (1751319)Instructions burned: 131 (million)
% 7.46/2.71 % TRYING [5]
% 7.46/2.71 % (1751326)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1681704751:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.46/2.71 % TRYING [6]
% 7.46/2.71 % (1751324)Instruction limit reached!
% 7.46/2.71 % (1751324)------------------------------
% 7.46/2.71 % (1751324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/2.71 % (1751324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/2.71 % (1751324)CaDiCaL version: 2.1.3
% 7.46/2.71 % (1751324)Termination reason: Instruction limit
% 7.46/2.71 % (1751324)Termination phase: Saturation
% 7.46/2.71 % (1751324)Time elapsed: 0.092 s
% 7.46/2.71 % (1751324)Peak memory usage: 14 MB
% 7.46/2.71 % (1751324)Instructions burned: 181 (million)
% 7.46/2.71 % (1751328)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2832793993:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.46/2.71 % TRYING [1]
% 7.46/2.71 % TRYING [2]
% 7.46/2.71 % TRYING [3]
% 7.46/2.71 % TRYING [4]
% 7.46/2.71 % TRYING [6]
% 7.46/2.71 % (1751318)Instruction limit reached!
% 7.46/2.71 % (1751318)------------------------------
% 7.46/2.71 % (1751318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/2.71 % (1751318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/2.71 % (1751318)CaDiCaL version: 2.1.3
% 7.46/2.71 % (1751318)Termination reason: Instruction limit
% 7.46/2.71 % (1751318)Termination phase: Finite model building constraint generation
% 7.46/2.71 % (1751318)Time elapsed: 0.298 s
% 7.46/2.71 % (1751318)Peak memory usage: 28 MB
% 7.46/2.71 % (1751318)Instructions burned: 714 (million)
% 7.46/2.71 % TRYING [5]
% 7.46/2.71 % (1751330)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=572448512:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 7.46/2.71 % (1751320)Instruction limit reached!
% 7.46/2.71 % (1751320)------------------------------
% 7.46/2.71 % (1751320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/2.71 % (1751320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/2.71 % (1751320)CaDiCaL version: 2.1.3
% 7.46/2.71 % (1751320)Termination reason: Instruction limit
% 7.46/2.71 % (1751320)Termination phase: Saturation
% 7.46/2.71 % (1751320)Time elapsed: 0.349 s
% 7.46/2.71 % (1751320)Peak memory usage: 31 MB
% 7.46/2.71 % (1751320)Instructions burned: 684 (million)
% 7.46/2.71 % (1751332)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=827652794:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 7.46/2.71 % TRYING [7]
% 7.46/2.71 % (1751326)Instruction limit reached!
% 7.46/2.71 % (1751326)------------------------------
% 7.46/2.71 % (1751326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/2.71 % (1751326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/2.71 % (1751326)CaDiCaL version: 2.1.3
% 7.46/2.71 % (1751326)Termination reason: Instruction limit
% 7.46/2.71 % (1751326)Termination phase: Saturation
% 7.46/2.71 % (1751326)Time elapsed: 0.334 s
% 7.46/2.71 % (1751326)Peak memory usage: 15 MB
% 7.46/2.71 % (1751326)Instructions burned: 478 (million)
% 7.46/2.71 % (1751334)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=328113728: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)
% 7.46/2.71 % (1751328)Instruction limit reached!
% 7.46/2.71 % (1751328)------------------------------
% 7.46/2.71 % (1751328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/2.71 % (1751328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/2.71 % (1751328)CaDiCaL version: 2.1.3
% 7.46/2.71 % (1751328)Termination reason: Instruction limit
% 7.46/2.71 % (1751328)Termination phase: Finite model building SAT solving
% 7.46/2.71 % (1751328)Time elapsed: 0.341 s
% 7.46/2.71 % (1751328)Peak memory usage: 22 MB
% 7.46/2.71 % (1751328)Instructions burned: 865 (million)
% 7.46/2.71 % TRYING [14]
% 7.46/2.71 % (1751336)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3943776859:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 7.46/2.71 % (1751332)Instruction limit reached!
% 7.46/2.71 % (1751332)------------------------------
% 7.46/2.71 % (1751332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/2.71 % (1751332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/2.71 % (1751332)CaDiCaL version: 2.1.3
% 7.46/2.71 % (1751332)Termination reason: Instruction limit
% 7.46/2.71 % (1751332)Termination phase: Finite model building constraint generation
% 7.46/2.71 % (1751332)Time elapsed: 0.320 s
% 7.46/2.71 % (1751332)Peak memory usage: 70 MB
% 7.46/2.71 % (1751332)Instructions burned: 892 (million)
% 7.46/2.71 % (1751338)fmb+10_1_sil=64000:random_seed=4263695955:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 7.46/2.71 % TRYING [1]
% 7.46/2.71 % TRYING [2]
% 7.46/2.71 % TRYING [3]
% 7.46/2.71 % (1751334)Instruction limit reached!
% 7.46/2.71 % (1751334)------------------------------
% 7.46/2.71 % (1751334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/2.71 % (1751334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/2.71 % (1751334)CaDiCaL version: 2.1.3
% 7.46/2.71 % (1751334)Termination reason: Instruction limit
% 7.46/2.71 % (1751334)Termination phase: Saturation
% 7.46/2.71 % (1751334)Time elapsed: 0.347 s
% 7.46/2.71 % (1751334)Peak memory usage: 23 MB
% 7.46/2.71 % (1751334)Instructions burned: 693 (million)
% 7.46/2.71 % TRYING [4]
% 7.46/2.71 % (1751340)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=796323485:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 7.46/2.71 % TRYING [20]
% 7.46/2.71 % TRYING [8]
% 7.46/2.71 % TRYING [5]
% 7.46/2.71 % (1751330)Instruction limit reached!
% 7.46/2.71 % (1751330)------------------------------
% 7.46/2.71 % (1751330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/2.71 % (1751330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/2.71 % (1751330)CaDiCaL version: 2.1.3
% 7.46/2.71 % (1751330)Termination reason: Instruction limit
% 7.46/2.71 % (1751330)Termination phase: Saturation
% 7.46/2.71 % (1751330)Time elapsed: 0.642 s
% 7.46/2.71 % (1751330)Peak memory usage: 27 MB
% 7.46/2.71 % (1751330)Instructions burned: 1181 (million)
% 7.46/2.71 % (1751336)Instruction limit reached!
% 7.46/2.71 % (1751336)------------------------------
% 7.46/2.71 % (1751336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/2.71 % (1751336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/2.71 % (1751336)CaDiCaL version: 2.1.3
% 7.46/2.71 % (1751336)Termination reason: Instruction limit
% 7.46/2.71 % (1751336)Termination phase: Saturation
% 7.46/2.71 % (1751336)Time elapsed: 0.459 s
% 7.46/2.71 % (1751336)Peak memory usage: 21 MB
% 7.46/2.71 % (1751336)Instructions burned: 880 (million)
% 7.46/2.71 % (1751342)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=313917584:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 7.46/2.71 % (1751343)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1931447517:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 7.46/2.71 % TRYING [8]
% 7.46/2.71 % TRYING [6]
% 7.46/2.71 % (1751342)Instruction limit reached!
% 7.46/2.71 % (1751342)------------------------------
% 7.46/2.71 % (1751342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/2.71 % (1751342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/2.71 % (1751342)CaDiCaL version: 2.1.3
% 7.46/2.71 % (1751342)Termination reason: Instruction limit
% 7.46/2.71 % (1751342)Termination phase: Finite model building constraint generation
% 7.46/2.71 % (1751342)Time elapsed: 0.338 s
% 7.46/2.71 % (1751342)Peak memory usage: 69 MB
% 7.46/2.71 % (1751342)Instructions burned: 921 (million)
% 7.46/2.71 % (1751346)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=250507700:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 7.46/2.71 % TRYING [9]
% 7.46/2.71 % TRYING [7]
% 7.46/2.71 % (1751346)Instruction limit reached!
% 7.46/2.71 % (1751346)------------------------------
% 7.46/2.71 % (1751346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/2.71 % (1751346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/2.71 % (1751346)CaDiCaL version: 2.1.3
% 7.46/2.71 % (1751346)Termination reason: Instruction limit
% 7.46/2.71 % (1751346)Termination phase: Saturation
% 7.46/2.71 % (1751346)Time elapsed: 0.702 s
% 7.46/2.71 % (1751346)Peak memory usage: 19 MB
% 7.46/2.71 % (1751346)Instructions burned: 1474 (million)
% 7.46/2.71 % (1751348)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2273540755:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 7.46/2.71 % TRYING [77]
% 7.46/2.71 % (1751305) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1751299-1751305"...
% 7.46/2.71 % (1751305)...printing done.
% 7.46/2.71 % (1751305)Refutation found. Thanks to Tanya!
% 7.46/2.71 % SZS status Theorem for theBenchmark
% 7.46/2.71 % SZS output start Proof for theBenchmark
% See solution above
% 7.46/2.72 % (1751305)------------------------------
% 7.46/2.72 % (1751305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.46/2.72 % (1751305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.46/2.72 % (1751305)CaDiCaL version: 2.1.3
% 7.46/2.72 % (1751305)Termination reason: Refutation
% 7.46/2.72 % (1751305)Time elapsed: 2.235 s
% 7.46/2.72 % (1751305)Peak memory usage: 64 MB
% 7.46/2.72 % (1751305)Instructions burned: 4492 (million)
% 7.46/2.72 % (1751299)Success in time 2.311 s
% 7.46/2.72 % Vampire exiting
%------------------------------------------------------------------------------