%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC253+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 : n017.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 01:05:16 PM UTC 2026
% Result : Theorem 9.55s 1.95s
% Output : Refutation 9.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 29
% Syntax : Number of formulae : 211 ( 33 unt; 16 def)
% Number of atoms : 672 ( 152 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 720 ( 259 ~; 377 |; 32 &)
% ( 20 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 17 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 129 ( 0 sgn 115 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax4) ).
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(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax18) ).
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(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
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(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X2 = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax79) ).
fof(f85,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> hd(app(X0,X1)) = hd(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax85) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax86) ).
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)
& X3 != X4
& ? [X5] :
( ssList(X5)
& tl(X3) = X5
& app(X2,X5) = X4
& neq(nil,X3) ) )
| singletonP(X0) )
& ( ~ neq(X1,nil)
| 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
| ( ( ~ neq(X1,nil)
| ? [X4] :
( ssList(X4)
& X3 != X4
& ? [X5] :
( ssList(X5)
& tl(X3) = X5
& app(X2,X5) = X4
& neq(nil,X3) ) )
| singletonP(X0) )
& ( ~ 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(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(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(f194,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X0
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X0
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f194]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( hd(app(X0,X1)) = hd(X0)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f203,plain,
! [X0] :
( ! [X1] :
( hd(app(X0,X1)) = hd(X0)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f202]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f204]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ( neq(X1,nil)
& ! [X4] :
( ~ ssList(X4)
| X3 = X4
| ! [X5] :
( ~ ssList(X5)
| tl(X3) != X5
| app(X2,X5) != X4
| ~ neq(nil,X3) ) )
& ~ singletonP(X0) )
| ( 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)
| X3 = X4
| ! [X5] :
( ~ ssList(X5)
| tl(X3) != X5
| app(X2,X5) != X4
| ~ neq(nil,X3) ) )
& ~ singletonP(X0) )
| ( 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(f303,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f304,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f306,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f307,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) != X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f314,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f316,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
inference(cnf_transformation,[],[f130]) ).
fof(f318,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f320,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f389,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f390,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X2,X1) != app(X0,X1)
| X0 = X2 ),
inference(cnf_transformation,[],[f195]) ).
fof(f398,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X0
| hd(X0) = hd(app(X0,X1)) ),
inference(cnf_transformation,[],[f203]) ).
fof(f399,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f412,plain,
! [X4,X5] :
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| app(sK49,X5) != X4
| tl(sK50) != X5
| ~ ssList(X5)
| sK50 = X4
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f222]) ).
fof(f414,plain,
neq(sK48,nil),
inference(cnf_transformation,[],[f222]) ).
fof(f415,plain,
( ~ neq(sK50,nil)
| ~ singletonP(sK47) ),
inference(cnf_transformation,[],[f222]) ).
fof(f418,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f419,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f222]) ).
fof(f421,plain,
ssList(sK48),
inference(cnf_transformation,[],[f222]) ).
fof(f422,plain,
ssList(sK47),
inference(cnf_transformation,[],[f222]) ).
fof(f423,plain,
ssList(sK49),
inference(definition_unfolding,[],[f422,f418]) ).
fof(f424,plain,
ssList(sK50),
inference(definition_unfolding,[],[f421,f419]) ).
fof(f426,plain,
( ~ neq(sK50,nil)
| ~ singletonP(sK49) ),
inference(definition_unfolding,[],[f415,f418]) ).
fof(f427,plain,
neq(sK50,nil),
inference(definition_unfolding,[],[f414,f419]) ).
fof(f432,plain,
! [X1] :
( ~ ssList(cons(X1,nil))
| ~ ssItem(X1)
| singletonP(cons(X1,nil)) ),
inference(equality_resolution,[],[f234]) ).
fof(f444,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f304]) ).
fof(f455,plain,
! [X5] :
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| tl(sK50) != X5
| ~ ssList(X5)
| sK50 = app(sK49,X5)
| ~ ssList(app(sK49,X5)) ),
inference(equality_resolution,[],[f412]) ).
fof(f456,plain,
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| ~ ssList(tl(sK50))
| sK50 = app(sK49,tl(sK50))
| ~ ssList(app(sK49,tl(sK50))) ),
inference(equality_resolution,[],[f455]) ).
fof(f467,plain,
! [X1] :
( singletonP(cons(X1,nil))
| ssItem(X1)
| ssList(cons(X1,nil)) ),
inference(consistent_polarity_flipping,[],[f432]) ).
fof(f538,plain,
! [X1] :
( ssList(X1)
| ssList(X1)
| ~ neq(X1,X1) ),
inference(consistent_polarity_flipping,[],[f444]) ).
fof(f539,plain,
! [X0,X1] :
( neq(X0,X1)
| ssList(X1)
| X0 = X1
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f303]) ).
fof(f541,plain,
~ ssList(nil),
inference(consistent_polarity_flipping,[],[f306]) ).
fof(f542,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ssItem(X1)
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f307]) ).
fof(f549,plain,
! [X0] :
( ~ ssItem(hd(X0))
| nil = X0
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f314]) ).
fof(f551,plain,
! [X0] :
( ~ ssList(tl(X0))
| nil = X0
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f316]) ).
fof(f553,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ssList(X1)
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f318]) ).
fof(f555,plain,
! [X0] :
( ssList(X0)
| app(nil,X0) = X0 ),
inference(consistent_polarity_flipping,[],[f320]) ).
fof(f618,plain,
! [X0] :
( ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(consistent_polarity_flipping,[],[f389]) ).
fof(f619,plain,
! [X2,X0,X1] :
( app(X2,X1) != app(X0,X1)
| ssList(X1)
| ssList(X2)
| ssList(X0)
| X0 = X2 ),
inference(consistent_polarity_flipping,[],[f390]) ).
fof(f627,plain,
! [X0,X1] :
( ssList(X0)
| ssList(X1)
| nil = X0
| hd(X0) = hd(app(X0,X1)) ),
inference(consistent_polarity_flipping,[],[f398]) ).
fof(f628,plain,
! [X0,X1] :
( ssList(X0)
| ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1) ),
inference(consistent_polarity_flipping,[],[f399]) ).
fof(f640,plain,
~ ssList(sK49),
inference(consistent_polarity_flipping,[],[f423]) ).
fof(f641,plain,
~ ssList(sK50),
inference(consistent_polarity_flipping,[],[f424]) ).
fof(f644,plain,
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| ssList(tl(sK50))
| sK50 = app(sK49,tl(sK50))
| ssList(app(sK49,tl(sK50))) ),
inference(consistent_polarity_flipping,[],[f456]) ).
fof(f650,plain,
! [X1] :
( ~ neq(X1,X1)
| ssList(X1) ),
inference(duplicate_literal_removal,[],[f538]) ).
fof(f654,definition,
( spl51_1
<=> ssList(app(sK49,tl(sK50))) ),
introduced(definition,[new_symbols(definition,[spl51_1])],[avatar_definition]) ).
fof(f656,plain,
( ssList(app(sK49,tl(sK50)))
| ~ spl51_1 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f658,definition,
( spl51_2
<=> sK50 = app(sK49,tl(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).
fof(f660,plain,
( sK50 = app(sK49,tl(sK50))
| ~ spl51_2 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f662,definition,
( spl51_3
<=> ssList(tl(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_3])],[avatar_definition]) ).
fof(f663,plain,
( ~ ssList(tl(sK50))
| spl51_3 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f664,plain,
( ssList(tl(sK50))
| ~ spl51_3 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f666,definition,
( spl51_4
<=> neq(nil,sK50) ),
introduced(definition,[new_symbols(definition,[spl51_4])],[avatar_definition]) ).
fof(f668,plain,
( ~ neq(nil,sK50)
| spl51_4 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f670,definition,
( spl51_5
<=> neq(sK50,nil) ),
introduced(definition,[new_symbols(definition,[spl51_5])],[avatar_definition]) ).
fof(f672,plain,
( neq(sK50,nil)
| ~ spl51_5 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f674,plain,
( spl51_1
| spl51_2
| spl51_3
| ~ spl51_4
| ~ spl51_5 ),
inference(avatar_split_clause,[],[f644,f670,f666,f662,f658,f654]) ).
fof(f676,definition,
( spl51_6
<=> singletonP(sK49) ),
introduced(definition,[new_symbols(definition,[spl51_6])],[avatar_definition]) ).
fof(f678,plain,
( ~ singletonP(sK49)
| spl51_6 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f680,plain,
spl51_5,
inference(avatar_split_clause,[],[f427,f670]) ).
fof(f681,plain,
( ~ spl51_6
| ~ spl51_5 ),
inference(avatar_split_clause,[],[f426,f670,f676]) ).
fof(f687,definition,
( spl51_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl51_8])],[avatar_definition]) ).
fof(f688,plain,
( ~ ssList(nil)
| spl51_8 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f716,plain,
~ spl51_8,
inference(avatar_split_clause,[],[f541,f687]) ).
fof(f804,definition,
( spl51_15
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl51_15])],[avatar_definition]) ).
fof(f805,plain,
( nil != sK50
| spl51_15 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f806,plain,
( nil = sK50
| ~ spl51_15 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f812,plain,
( nil = sK50
| ssList(sK50)
| ~ spl51_3 ),
inference(resolution,[],[f664,f551]) ).
fof(f813,plain,
( nil = sK50
| ~ spl51_3 ),
inference(forward_subsumption_resolution,[],[f812,f641]) ).
fof(f814,plain,
( spl51_15
| ~ spl51_3 ),
inference(avatar_split_clause,[],[f813,f662,f804]) ).
fof(f824,plain,
( neq(nil,nil)
| ~ spl51_5
| ~ spl51_15 ),
inference(superposition,[],[f672,f806]) ).
fof(f955,definition,
( spl51_18
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl51_18])],[avatar_definition]) ).
fof(f956,plain,
( nil != sK49
| spl51_18 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f957,plain,
( nil = sK49
| ~ spl51_18 ),
inference(avatar_component_clause,[],[f955]) ).
fof(f1019,plain,
( sK50 = app(nil,tl(sK50))
| ~ spl51_2
| ~ spl51_18 ),
inference(forward_demodulation,[],[f660,f957]) ).
fof(f1036,plain,
( tl(sK50) = app(nil,tl(sK50))
| spl51_3 ),
inference(resolution,[],[f663,f555]) ).
fof(f1053,plain,
( ssList(sK50)
| nil = sK50
| ssList(nil)
| spl51_4 ),
inference(resolution,[],[f668,f539]) ).
fof(f1056,plain,
( nil = sK50
| ssList(nil)
| spl51_4 ),
inference(forward_subsumption_resolution,[],[f1053,f641]) ).
fof(f1057,plain,
( nil = sK50
| spl51_4
| spl51_8 ),
inference(forward_subsumption_resolution,[],[f1056,f688]) ).
fof(f1058,plain,
( spl51_15
| spl51_4
| spl51_8 ),
inference(avatar_split_clause,[],[f1057,f687,f666,f804]) ).
fof(f1120,plain,
( ssList(nil)
| ~ spl51_5
| ~ spl51_15 ),
inference(resolution,[],[f824,f650]) ).
fof(f1121,plain,
( $false
| ~ spl51_5
| spl51_8
| ~ spl51_15 ),
inference(forward_subsumption_resolution,[],[f1120,f688]) ).
fof(f1122,plain,
( ~ spl51_5
| spl51_8
| ~ spl51_15 ),
inference(avatar_contradiction_clause,[],[f1121]) ).
fof(f1126,plain,
( sK50 = tl(sK50)
| ~ spl51_2
| spl51_3
| ~ spl51_18 ),
inference(forward_demodulation,[],[f1036,f1019]) ).
fof(f1176,plain,
( nil = sK49
| sK49 = cons(hd(sK49),tl(sK49)) ),
inference(resolution,[],[f618,f640]) ).
fof(f1177,plain,
( nil = sK50
| sK50 = cons(hd(sK50),tl(sK50)) ),
inference(resolution,[],[f618,f641]) ).
fof(f1178,plain,
( sK50 = cons(hd(sK50),tl(sK50))
| spl51_15 ),
inference(forward_subsumption_resolution,[],[f1177,f805]) ).
fof(f1203,definition,
( spl51_29
<=> sK49 = cons(hd(sK49),tl(sK49)) ),
introduced(definition,[new_symbols(definition,[spl51_29])],[avatar_definition]) ).
fof(f1205,plain,
( sK49 = cons(hd(sK49),tl(sK49))
| ~ spl51_29 ),
inference(avatar_component_clause,[],[f1203]) ).
fof(f1206,plain,
( spl51_29
| spl51_18 ),
inference(avatar_split_clause,[],[f1176,f955,f1203]) ).
fof(f1496,plain,
! [X0] :
( ssList(X0)
| nil = sK49
| hd(sK49) = hd(app(sK49,X0)) ),
inference(resolution,[],[f627,f640]) ).
fof(f1534,plain,
( ! [X0] :
( ssList(X0)
| hd(sK49) = hd(app(sK49,X0)) )
| spl51_18 ),
inference(forward_subsumption_resolution,[],[f1496,f956]) ).
fof(f1599,plain,
( ssList(tl(sK50))
| ssList(sK49)
| ~ spl51_1 ),
inference(resolution,[],[f656,f553]) ).
fof(f1600,plain,
( ssList(sK49)
| ~ spl51_1
| spl51_3 ),
inference(forward_subsumption_resolution,[],[f1599,f663]) ).
fof(f1601,plain,
( $false
| ~ spl51_1
| spl51_3 ),
inference(forward_subsumption_resolution,[],[f1600,f640]) ).
fof(f1602,plain,
( ~ spl51_1
| spl51_3 ),
inference(avatar_contradiction_clause,[],[f1601]) ).
fof(f1738,definition,
( spl51_51
<=> sK50 = tl(sK50) ),
introduced(definition,[new_symbols(definition,[spl51_51])],[avatar_definition]) ).
fof(f1888,plain,
! [X0] :
( ssList(X0)
| nil = sK49
| tl(app(sK49,X0)) = app(tl(sK49),X0) ),
inference(resolution,[],[f628,f640]) ).
fof(f1926,plain,
( ! [X0] :
( ssList(X0)
| tl(app(sK49,X0)) = app(tl(sK49),X0) )
| spl51_18 ),
inference(forward_subsumption_resolution,[],[f1888,f956]) ).
fof(f2365,plain,
( ! [X0] :
( tl(sK50) != app(X0,tl(sK50))
| ssList(tl(sK50))
| ssList(X0)
| ssList(nil)
| nil = X0 )
| spl51_3 ),
inference(superposition,[],[f619,f1036]) ).
fof(f2373,plain,
( ! [X0] :
( tl(sK50) != app(X0,tl(sK50))
| ssList(X0)
| ssList(nil)
| nil = X0 )
| spl51_3 ),
inference(forward_subsumption_resolution,[],[f2365,f663]) ).
fof(f2379,plain,
( ! [X0] :
( tl(sK50) != app(X0,tl(sK50))
| ssList(X0)
| nil = X0 )
| spl51_3
| spl51_8 ),
inference(forward_subsumption_resolution,[],[f2373,f688]) ).
fof(f2665,plain,
( sK50 != tl(sK50)
| ssItem(hd(sK50))
| ssList(tl(sK50))
| spl51_15 ),
inference(superposition,[],[f542,f1178]) ).
fof(f2700,plain,
( sK50 != tl(sK50)
| ssItem(hd(sK50))
| spl51_3
| spl51_15 ),
inference(forward_subsumption_resolution,[],[f2665,f663]) ).
fof(f2714,definition,
( spl51_97
<=> ssItem(hd(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_97])],[avatar_definition]) ).
fof(f2715,plain,
( ~ ssItem(hd(sK50))
| spl51_97 ),
inference(avatar_component_clause,[],[f2714]) ).
fof(f2716,plain,
( ssItem(hd(sK50))
| ~ spl51_97 ),
inference(avatar_component_clause,[],[f2714]) ).
fof(f2769,plain,
( spl51_97
| ~ spl51_51
| spl51_3
| spl51_15 ),
inference(avatar_split_clause,[],[f2700,f804,f662,f1738,f2714]) ).
fof(f3001,plain,
( spl51_51
| ~ spl51_2
| spl51_3
| ~ spl51_18 ),
inference(avatar_split_clause,[],[f1126,f955,f662,f658,f1738]) ).
fof(f3003,definition,
( spl51_157
<=> ! [X0] :
( ssList(X0)
| hd(sK49) = hd(app(sK49,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl51_157])],[avatar_definition]) ).
fof(f3004,plain,
( ! [X0] :
( ssList(X0)
| hd(sK49) = hd(app(sK49,X0)) )
| ~ spl51_157 ),
inference(avatar_component_clause,[],[f3003]) ).
fof(f3007,definition,
( spl51_158
<=> ! [X0] :
( ssList(X0)
| tl(app(sK49,X0)) = app(tl(sK49),X0) ) ),
introduced(definition,[new_symbols(definition,[spl51_158])],[avatar_definition]) ).
fof(f3008,plain,
( ! [X0] :
( ssList(X0)
| tl(app(sK49,X0)) = app(tl(sK49),X0) )
| ~ spl51_158 ),
inference(avatar_component_clause,[],[f3007]) ).
fof(f3069,plain,
( nil = sK50
| ssList(sK50)
| ~ spl51_97 ),
inference(resolution,[],[f2716,f549]) ).
fof(f3070,plain,
( ssList(sK50)
| spl51_15
| ~ spl51_97 ),
inference(forward_subsumption_resolution,[],[f3069,f805]) ).
fof(f3071,plain,
( $false
| spl51_15
| ~ spl51_97 ),
inference(forward_subsumption_resolution,[],[f3070,f641]) ).
fof(f3072,plain,
( spl51_15
| ~ spl51_97 ),
inference(avatar_contradiction_clause,[],[f3071]) ).
fof(f3073,plain,
( spl51_157
| spl51_18 ),
inference(avatar_split_clause,[],[f1534,f955,f3003]) ).
fof(f3074,plain,
( spl51_158
| spl51_18 ),
inference(avatar_split_clause,[],[f1926,f955,f3007]) ).
fof(f3209,definition,
( spl51_159
<=> ssList(tl(sK49)) ),
introduced(definition,[new_symbols(definition,[spl51_159])],[avatar_definition]) ).
fof(f3210,plain,
( ~ ssList(tl(sK49))
| spl51_159 ),
inference(avatar_component_clause,[],[f3209]) ).
fof(f3211,plain,
( ssList(tl(sK49))
| ~ spl51_159 ),
inference(avatar_component_clause,[],[f3209]) ).
fof(f3238,definition,
( spl51_166
<=> nil = tl(sK49) ),
introduced(definition,[new_symbols(definition,[spl51_166])],[avatar_definition]) ).
fof(f3239,plain,
( nil != tl(sK49)
| spl51_166 ),
inference(avatar_component_clause,[],[f3238]) ).
fof(f3240,plain,
( nil = tl(sK49)
| ~ spl51_166 ),
inference(avatar_component_clause,[],[f3238]) ).
fof(f3465,plain,
( hd(sK49) = hd(app(sK49,tl(sK50)))
| spl51_3
| ~ spl51_157 ),
inference(resolution,[],[f3004,f663]) ).
fof(f3499,plain,
( hd(sK49) = hd(sK50)
| ~ spl51_2
| spl51_3
| ~ spl51_157 ),
inference(forward_demodulation,[],[f3465,f660]) ).
fof(f3529,plain,
( nil = sK49
| ssList(sK49)
| ~ spl51_159 ),
inference(resolution,[],[f3211,f551]) ).
fof(f3530,plain,
( ssList(sK49)
| spl51_18
| ~ spl51_159 ),
inference(forward_subsumption_resolution,[],[f3529,f956]) ).
fof(f3531,plain,
( $false
| spl51_18
| ~ spl51_159 ),
inference(forward_subsumption_resolution,[],[f3530,f640]) ).
fof(f3532,plain,
( spl51_18
| ~ spl51_159 ),
inference(avatar_contradiction_clause,[],[f3531]) ).
fof(f4103,plain,
( tl(app(sK49,tl(sK50))) = app(tl(sK49),tl(sK50))
| spl51_3
| ~ spl51_158 ),
inference(resolution,[],[f3008,f663]) ).
fof(f4139,plain,
( tl(sK50) = app(tl(sK49),tl(sK50))
| ~ spl51_2
| spl51_3
| ~ spl51_158 ),
inference(forward_demodulation,[],[f4103,f660]) ).
fof(f6483,plain,
( sK49 = cons(hd(sK50),tl(sK49))
| ~ spl51_2
| spl51_3
| ~ spl51_29
| ~ spl51_157 ),
inference(superposition,[],[f1205,f3499]) ).
fof(f6487,plain,
( sK49 = cons(hd(sK50),nil)
| ~ spl51_2
| spl51_3
| ~ spl51_29
| ~ spl51_157
| ~ spl51_166 ),
inference(forward_demodulation,[],[f6483,f3240]) ).
fof(f28840,plain,
( singletonP(sK49)
| ssItem(hd(sK50))
| ssList(sK49)
| ~ spl51_2
| spl51_3
| ~ spl51_29
| ~ spl51_157
| ~ spl51_166 ),
inference(superposition,[],[f467,f6487]) ).
fof(f28917,plain,
( ssItem(hd(sK50))
| ssList(sK49)
| ~ spl51_2
| spl51_3
| spl51_6
| ~ spl51_29
| ~ spl51_157
| ~ spl51_166 ),
inference(forward_subsumption_resolution,[],[f28840,f678]) ).
fof(f28948,plain,
( ssList(sK49)
| ~ spl51_2
| spl51_3
| spl51_6
| ~ spl51_29
| spl51_97
| ~ spl51_157
| ~ spl51_166 ),
inference(forward_subsumption_resolution,[],[f28917,f2715]) ).
fof(f28951,plain,
( $false
| ~ spl51_2
| spl51_3
| spl51_6
| ~ spl51_29
| spl51_97
| ~ spl51_157
| ~ spl51_166 ),
inference(forward_subsumption_resolution,[],[f28948,f640]) ).
fof(f28952,plain,
( ~ spl51_2
| spl51_3
| spl51_6
| ~ spl51_29
| spl51_97
| ~ spl51_157
| ~ spl51_166 ),
inference(avatar_contradiction_clause,[],[f28951]) ).
fof(f119377,plain,
( tl(sK50) != tl(sK50)
| ssList(tl(sK49))
| nil = tl(sK49)
| ~ spl51_2
| spl51_3
| spl51_8
| ~ spl51_158 ),
inference(superposition,[],[f2379,f4139]) ).
fof(f119382,plain,
( ssList(tl(sK49))
| nil = tl(sK49)
| ~ spl51_2
| spl51_3
| spl51_8
| ~ spl51_158 ),
inference(trivial_inequality_removal,[],[f119377]) ).
fof(f119388,plain,
( nil = tl(sK49)
| ~ spl51_2
| spl51_3
| spl51_8
| ~ spl51_158
| spl51_159 ),
inference(forward_subsumption_resolution,[],[f119382,f3210]) ).
fof(f119391,plain,
( $false
| ~ spl51_2
| spl51_3
| spl51_8
| ~ spl51_158
| spl51_159
| spl51_166 ),
inference(forward_subsumption_resolution,[],[f119388,f3239]) ).
fof(f119392,plain,
( ~ spl51_2
| spl51_3
| spl51_8
| ~ spl51_158
| spl51_159
| spl51_166 ),
inference(avatar_contradiction_clause,[],[f119391]) ).
cnf(s2,plain,
( spl51_1
| spl51_2
| spl51_3
| ~ spl51_4
| ~ spl51_5 ),
inference(sat_conversion,[],[f674]) ).
cnf(s4,plain,
spl51_5,
inference(sat_conversion,[],[f680]) ).
cnf(s5,plain,
( ~ spl51_5
| ~ spl51_6 ),
inference(sat_conversion,[],[f681]) ).
cnf(s14,plain,
~ spl51_8,
inference(sat_conversion,[],[f716]) ).
cnf(s16,plain,
( ~ spl51_3
| spl51_15 ),
inference(sat_conversion,[],[f814]) ).
cnf(s29,plain,
( spl51_4
| spl51_8
| spl51_15 ),
inference(sat_conversion,[],[f1058]) ).
cnf(s30,plain,
( ~ spl51_5
| spl51_8
| ~ spl51_15 ),
inference(sat_conversion,[],[f1122]) ).
cnf(s41,plain,
( spl51_18
| spl51_29 ),
inference(sat_conversion,[],[f1206]) ).
cnf(s54,plain,
( ~ spl51_1
| spl51_3 ),
inference(sat_conversion,[],[f1602]) ).
cnf(s122,plain,
( spl51_3
| spl51_15
| ~ spl51_51
| spl51_97 ),
inference(sat_conversion,[],[f2769]) ).
cnf(s167,plain,
( ~ spl51_2
| spl51_3
| ~ spl51_18
| spl51_51 ),
inference(sat_conversion,[],[f3001]) ).
cnf(s173,plain,
( spl51_15
| ~ spl51_97 ),
inference(sat_conversion,[],[f3072]) ).
cnf(s174,plain,
( spl51_18
| spl51_157 ),
inference(sat_conversion,[],[f3073]) ).
cnf(s175,plain,
( spl51_18
| spl51_158 ),
inference(sat_conversion,[],[f3074]) ).
cnf(s278,plain,
( spl51_18
| ~ spl51_159 ),
inference(sat_conversion,[],[f3532]) ).
cnf(s1636,plain,
( ~ spl51_2
| spl51_3
| spl51_6
| ~ spl51_29
| spl51_97
| ~ spl51_157
| ~ spl51_166 ),
inference(sat_conversion,[],[f28952]) ).
cnf(s8902,plain,
( ~ spl51_2
| spl51_3
| spl51_8
| ~ spl51_158
| spl51_159
| spl51_166 ),
inference(sat_conversion,[],[f119392]) ).
cnf(s9554,plain,
~ spl51_15,
inference(rat,[],[s30,s14,s4]) ).
cnf(s9555,plain,
~ spl51_6,
inference(rat,[],[s5,s4]) ).
cnf(s9563,plain,
~ spl51_97,
inference(rat,[],[s173,s9554]) ).
cnf(s9569,plain,
~ spl51_3,
inference(rat,[],[s16,s9554]) ).
cnf(s9571,plain,
spl51_4,
inference(rat,[],[s29,s14,s9554]) ).
cnf(s9868,plain,
~ spl51_51,
inference(rat,[],[s122,s9563,s9554,s9569]) ).
cnf(s9881,plain,
~ spl51_1,
inference(rat,[],[s54,s9569]) ).
cnf(s10201,plain,
spl51_2,
inference(rat,[],[s2,s4,s9571,s9569,s9881]) ).
cnf(s10244,plain,
~ spl51_18,
inference(rat,[],[s167,s9868,s9569,s10201]) ).
cnf(s10363,plain,
~ spl51_159,
inference(rat,[],[s278,s10244]) ).
cnf(s10366,plain,
spl51_158,
inference(rat,[],[s175,s10244]) ).
cnf(s10367,plain,
spl51_157,
inference(rat,[],[s174,s10244]) ).
cnf(s10368,plain,
spl51_29,
inference(rat,[],[s41,s10244]) ).
cnf(s10517,plain,
spl51_166,
inference(rat,[],[s8902,s10363,s10201,s9569,s14,s10366]) ).
cnf(s10518,plain,
$false,
inference(rat,[],[s1636,s10517,s10201,s9563,s9569,s9555,s10367,s10368]) ).
fof(f119397,plain,
$false,
inference(avatar_sat_refutation,[],[s10518]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC253+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n017.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 08:37:50 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 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
% 9.55/1.95 % (3401917)Will run a generic schedule for satisfiability detection.
% 9.55/1.95 % (3401923)% WARNING: option uhcvi not known.
% 9.55/1.95 % (3401923)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3501616037:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 9.55/1.95 % (3401922)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=653865660_2999 on theBenchmark for (2999ds/0Mi)
% 9.55/1.95 % (3401924)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2919135472:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 9.55/1.95 % (3401925)dis+10_1_sil=32000:sp=arity:random_seed=1686607744:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 9.55/1.95 % (3401926)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3739878389:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 9.55/1.95 % (3401928)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1034044764:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 9.55/1.95 % (3401927)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4081724979:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 9.55/1.95 % TRYING [1]
% 9.55/1.95 % TRYING [2]
% 9.55/1.95 % TRYING [3]
% 9.55/1.95 % TRYING [4]
% 9.55/1.95 % (3401925)Instruction limit reached!
% 9.55/1.95 % (3401925)------------------------------
% 9.55/1.95 % (3401925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.95 % (3401925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.95 % (3401925)CaDiCaL version: 2.1.3
% 9.55/1.95 % (3401925)Termination reason: Instruction limit
% 9.55/1.95 % (3401925)Termination phase: Saturation
% 9.55/1.95 % (3401925)Time elapsed: 0.062 s
% 9.55/1.95 % (3401925)Peak memory usage: 13 MB
% 9.55/1.95 % (3401925)Instructions burned: 103 (million)
% 9.55/1.95 % (3401926)Instruction limit reached!
% 9.55/1.95 % (3401926)------------------------------
% 9.55/1.95 % (3401926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.95 % (3401926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.95 % (3401926)CaDiCaL version: 2.1.3
% 9.55/1.95 % (3401926)Termination reason: Instruction limit
% 9.55/1.95 % (3401926)Termination phase: Saturation
% 9.55/1.95 % (3401926)Time elapsed: 0.073 s
% 9.55/1.95 % (3401926)Peak memory usage: 13 MB
% 9.55/1.95 % (3401926)Instructions burned: 122 (million)
% 9.55/1.95 % (3401927)Instruction limit reached!
% 9.55/1.95 % (3401927)------------------------------
% 9.55/1.95 % (3401927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.95 % (3401927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.95 % (3401927)CaDiCaL version: 2.1.3
% 9.55/1.95 % (3401927)Termination reason: Instruction limit
% 9.55/1.95 % (3401927)Termination phase: Saturation
% 9.55/1.95 % (3401927)Time elapsed: 0.077 s
% 9.55/1.95 % (3401927)Peak memory usage: 14 MB
% 9.55/1.95 % (3401927)Instructions burned: 131 (million)
% 9.55/1.95 % (3401936)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3487914883:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 9.55/1.95 % TRYING [5]
% 9.55/1.95 % (3401937)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=332042688:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 9.55/1.95 % TRYING [1]
% 9.55/1.95 % TRYING [2]
% 9.55/1.95 % (3401928)Instruction limit reached!
% 9.55/1.95 % (3401928)------------------------------
% 9.55/1.95 % (3401928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.95 % (3401928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.95 % (3401928)CaDiCaL version: 2.1.3
% 9.55/1.95 % (3401928)Termination reason: Instruction limit
% 9.55/1.95 % (3401928)Termination phase: Saturation
% 9.55/1.95 % (3401928)Time elapsed: 0.098 s
% 9.55/1.95 % (3401928)Peak memory usage: 15 MB
% 9.55/1.95 % (3401928)Instructions burned: 160 (million)
% 9.55/1.95 % (3401938)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=1017102866:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 9.55/1.95 % TRYING [3]
% 9.55/1.95 % (3401941)ott-21_1_sil=16000:fs=off:random_seed=3965604247:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 9.55/1.95 % TRYING [4]
% 9.55/1.95 % (3401937)Instruction limit reached!
% 9.55/1.95 % (3401937)------------------------------
% 9.55/1.95 % (3401937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.95 % (3401937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.95 % (3401937)CaDiCaL version: 2.1.3
% 9.55/1.95 % (3401937)Termination reason: Instruction limit
% 9.55/1.95 % (3401937)Termination phase: Saturation
% 9.55/1.95 % (3401937)Time elapsed: 0.072 s
% 9.55/1.95 % (3401937)Peak memory usage: 13 MB
% 9.55/1.95 % (3401937)Instructions burned: 132 (million)
% 9.55/1.95 % TRYING [5]
% 9.55/1.95 % (3401944)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3873774498:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 9.55/1.95 % TRYING [6]
% 9.55/1.95 % (3401941)Instruction limit reached!
% 9.55/1.95 % (3401941)------------------------------
% 9.55/1.95 % (3401941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.95 % (3401941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.95 % (3401941)CaDiCaL version: 2.1.3
% 9.55/1.95 % (3401941)Termination reason: Instruction limit
% 9.55/1.95 % (3401941)Termination phase: Saturation
% 9.55/1.95 % (3401941)Time elapsed: 0.092 s
% 9.55/1.95 % (3401941)Peak memory usage: 13 MB
% 9.55/1.95 % (3401941)Instructions burned: 180 (million)
% 9.55/1.95 % (3401946)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3946184683:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 9.55/1.95 % TRYING [1]
% 9.55/1.95 % TRYING [2]
% 9.55/1.95 % TRYING [3]
% 9.55/1.95 % TRYING [4]
% 9.55/1.95 % TRYING [6]
% 9.55/1.95 % (3401936)Instruction limit reached!
% 9.55/1.95 % (3401936)------------------------------
% 9.55/1.95 % (3401936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.95 % (3401936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.95 % (3401936)CaDiCaL version: 2.1.3
% 9.55/1.95 % (3401936)Termination reason: Instruction limit
% 9.55/1.95 % (3401936)Termination phase: Finite model building constraint generation
% 9.55/1.95 % (3401936)Time elapsed: 0.298 s
% 9.55/1.95 % (3401936)Peak memory usage: 28 MB
% 9.55/1.95 % (3401936)Instructions burned: 716 (million)
% 9.55/1.95 % TRYING [5]
% 9.55/1.95 % (3401948)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1852333148:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 9.55/1.95 % (3401938)Instruction limit reached!
% 9.55/1.95 % (3401938)------------------------------
% 9.55/1.95 % (3401938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.95 % (3401938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.95 % (3401938)CaDiCaL version: 2.1.3
% 9.55/1.95 % (3401938)Termination reason: Instruction limit
% 9.55/1.95 % (3401938)Termination phase: Saturation
% 9.55/1.95 % (3401938)Time elapsed: 0.365 s
% 9.55/1.95 % (3401938)Peak memory usage: 21 MB
% 9.55/1.95 % (3401938)Instructions burned: 685 (million)
% 9.55/1.95 % TRYING [7]
% 9.55/1.95 % (3401950)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=975572641:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 9.55/1.95 % (3401944)Instruction limit reached!
% 9.55/1.95 % (3401944)------------------------------
% 9.55/1.95 % (3401944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.95 % (3401944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.95 % (3401944)CaDiCaL version: 2.1.3
% 9.55/1.95 % (3401944)Termination reason: Instruction limit
% 9.55/1.95 % (3401944)Termination phase: Saturation
% 9.55/1.95 % (3401944)Time elapsed: 0.338 s
% 9.55/1.95 % (3401944)Peak memory usage: 15 MB
% 9.55/1.95 % (3401944)Instructions burned: 478 (million)
% 9.55/1.95 % (3401952)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=318403569: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)
% 9.55/1.95 % (3401946)Instruction limit reached!
% 9.55/1.95 % (3401946)------------------------------
% 9.55/1.95 % (3401946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.95 % (3401946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.95 % (3401946)CaDiCaL version: 2.1.3
% 9.55/1.95 % (3401946)Termination reason: Instruction limit
% 9.55/1.95 % (3401946)Termination phase: Finite model building SAT solving
% 9.55/1.95 % (3401946)Time elapsed: 0.343 s
% 9.55/1.95 % (3401946)Peak memory usage: 23 MB
% 9.55/1.95 % (3401946)Instructions burned: 865 (million)
% 9.55/1.95 % TRYING [14]
% 9.55/1.95 % (3401954)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1531100317:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 9.55/1.95 % (3401950)Instruction limit reached!
% 9.55/1.95 % (3401950)------------------------------
% 9.55/1.95 % (3401950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.95 % (3401950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.95 % (3401950)CaDiCaL version: 2.1.3
% 9.55/1.95 % (3401950)Termination reason: Instruction limit
% 9.55/1.95 % (3401950)Termination phase: Finite model building constraint generation
% 9.55/1.95 % (3401950)Time elapsed: 0.319 s
% 9.55/1.95 % (3401950)Peak memory usage: 70 MB
% 9.55/1.95 % (3401950)Instructions burned: 890 (million)
% 9.55/1.95 % (3401956)fmb+10_1_sil=64000:random_seed=1396738711:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 9.55/1.95 % TRYING [1]
% 9.55/1.95 % TRYING [2]
% 9.55/1.95 % TRYING [3]
% 9.55/1.95 % TRYING [4]
% 9.55/1.95 % (3401952)Instruction limit reached!
% 9.55/1.95 % (3401952)------------------------------
% 9.55/1.95 % (3401952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.95 % (3401952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.95 % (3401952)CaDiCaL version: 2.1.3
% 9.55/1.95 % (3401952)Termination reason: Instruction limit
% 9.55/1.95 % (3401952)Termination phase: Saturation
% 9.55/1.95 % (3401952)Time elapsed: 0.365 s
% 9.55/1.95 % (3401952)Peak memory usage: 21 MB
% 9.55/1.95 % (3401952)Instructions burned: 692 (million)
% 9.55/1.95 % (3401958)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2478120014:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 9.55/1.95 % TRYING [20]
% 9.55/1.95 % TRYING [5]
% 9.55/1.95 % TRYING [8]
% 9.55/1.95 % (3401948)Instruction limit reached!
% 9.55/1.95 % (3401948)------------------------------
% 9.55/1.95 % (3401948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.95 % (3401948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.95 % (3401948)CaDiCaL version: 2.1.3
% 9.55/1.95 % (3401948)Termination reason: Instruction limit
% 9.55/1.95 % (3401948)Termination phase: Saturation
% 9.55/1.95 % (3401948)Time elapsed: 0.656 s
% 9.55/1.95 % (3401948)Peak memory usage: 29 MB
% 9.55/1.95 % (3401948)Instructions burned: 1180 (million)
% 9.55/1.95 % (3401954)Instruction limit reached!
% 9.55/1.95 % (3401954)------------------------------
% 9.55/1.95 % (3401954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.95 % (3401954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.95 % (3401954)CaDiCaL version: 2.1.3
% 9.55/1.95 % (3401954)Termination reason: Instruction limit
% 9.55/1.95 % (3401954)Termination phase: Saturation
% 9.55/1.95 % (3401954)Time elapsed: 0.471 s
% 9.55/1.95 % (3401954)Peak memory usage: 21 MB
% 9.55/1.95 % (3401954)Instructions burned: 881 (million)
% 9.55/1.95 % (3401960)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3844156097:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 9.55/1.95 % (3401961)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=868766618:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 9.55/1.95 % TRYING [8]
% 9.55/1.95 % TRYING [6]
% 9.55/1.95 % (3401960)Instruction limit reached!
% 9.55/1.95 % (3401960)------------------------------
% 9.55/1.95 % (3401960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.95 % (3401960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.95 % (3401960)CaDiCaL version: 2.1.3
% 9.55/1.95 % (3401960)Termination reason: Instruction limit
% 9.55/1.95 % (3401960)Termination phase: Finite model building constraint generation
% 9.55/1.95 % (3401960)Time elapsed: 0.339 s
% 9.55/1.95 % (3401960)Peak memory usage: 70 MB
% 9.55/1.95 % (3401960)Instructions burned: 922 (million)
% 9.55/1.95 % (3401964)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=71207437:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 9.55/1.95 % (3401923) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3401917-3401923"...
% 9.55/1.95 % (3401923)...printing done.
% 9.55/1.95 % (3401923)Refutation found. Thanks to Tanya!
% 9.55/1.95 % SZS status Theorem for theBenchmark
% 9.55/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 9.55/1.95 % (3401923)------------------------------
% 9.55/1.95 % (3401923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.55/1.95 % (3401923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.55/1.95 % (3401923)CaDiCaL version: 2.1.3
% 9.55/1.95 % (3401923)Termination reason: Refutation
% 9.55/1.95 % (3401923)Time elapsed: 1.669 s
% 9.55/1.95 % (3401923)Peak memory usage: 73 MB
% 9.55/1.95 % (3401923)Instructions burned: 6061 (million)
% 9.55/1.95 % (3401917)Success in time 1.723 s
% 9.55/1.95 % Vampire exiting
%------------------------------------------------------------------------------