%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC053+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 01:04:27 PM UTC 2026
% Result : Theorem 6.43s 2.81s
% Output : Refutation 6.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 26
% Syntax : Number of formulae : 209 ( 25 unt; 15 def)
% Number of atoms : 711 ( 98 equ)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 741 ( 239 ~; 408 |; 41 &)
% ( 23 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 16 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 138 ( 0 sgn 124 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).
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(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(f40,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( frontsegP(X0,X1)
& frontsegP(X1,X2) )
=> frontsegP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax40) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax46) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax55) ).
fof(f56,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( segmentP(X0,X1)
=> segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax56) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ! [X4] :
( ssList(X4)
=> ( ~ neq(X4,nil)
| ~ frontsegP(X3,X4)
| ~ frontsegP(X2,X4) ) )
& ( nil != X3
| nil != X2 ) )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ? [X5] :
( ssList(X5)
& neq(X5,nil)
& segmentP(X1,X5)
& segmentP(X0,X5) ) ) ) ) ) ) ) ),
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] :
( ssList(X4)
=> ( ~ neq(X4,nil)
| ~ frontsegP(X3,X4)
| ~ frontsegP(X2,X4) ) )
& ( nil != X3
| nil != X2 ) )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ? [X5] :
( ssList(X5)
& neq(X5,nil)
& segmentP(X1,X5)
& segmentP(X0,X5) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
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(f149,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(X0,X2)
| ~ frontsegP(X0,X1)
| ~ frontsegP(X1,X2)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(X0,X2)
| ~ frontsegP(X0,X1)
| ~ frontsegP(X1,X2)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f149]) ).
fof(f158,plain,
! [X0] :
( ( frontsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f172,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f173]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ? [X4] :
( neq(X4,nil)
& frontsegP(X3,X4)
& frontsegP(X2,X4)
& ssList(X4) )
| ( nil = X3
& nil = X2 ) )
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ! [X5] :
( ~ ssList(X5)
| ~ neq(X5,nil)
| ~ segmentP(X1,X5)
| ~ segmentP(X0,X5) ) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( ? [X4] :
( neq(X4,nil)
& frontsegP(X3,X4)
& frontsegP(X2,X4)
& ssList(X4) )
| ( nil = X3
& nil = X2 ) )
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ! [X5] :
( ~ ssList(X5)
| ~ neq(X5,nil)
| ~ segmentP(X1,X5)
| ~ segmentP(X0,X5) ) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f235,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,sK5(X0,X1)) = X0
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f236,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(sK5(X0,X1))
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X2) != X0
| ~ ssList(X2)
| frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
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(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(f338,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
inference(cnf_transformation,[],[f150]) ).
fof(f347,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ~ frontsegP(nil,X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f357,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f358,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X2,X0),X3),X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f396,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != X0
| nil != X1
| nil = app(X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f411,plain,
! [X5] :
( ~ segmentP(sK47,X5)
| ~ segmentP(sK48,X5)
| ~ neq(X5,nil)
| ~ ssList(X5)
| nil = sK48 ),
inference(cnf_transformation,[],[f222]) ).
fof(f413,plain,
( nil = sK50
| ssList(sK51) ),
inference(cnf_transformation,[],[f222]) ).
fof(f414,plain,
( nil = sK50
| frontsegP(sK49,sK51) ),
inference(cnf_transformation,[],[f222]) ).
fof(f415,plain,
( nil = sK50
| frontsegP(sK50,sK51) ),
inference(cnf_transformation,[],[f222]) ).
fof(f416,plain,
( nil = sK50
| neq(sK51,nil) ),
inference(cnf_transformation,[],[f222]) ).
fof(f417,plain,
( nil = sK49
| ssList(sK51) ),
inference(cnf_transformation,[],[f222]) ).
fof(f419,plain,
( nil = sK49
| frontsegP(sK50,sK51) ),
inference(cnf_transformation,[],[f222]) ).
fof(f420,plain,
( nil = sK49
| neq(sK51,nil) ),
inference(cnf_transformation,[],[f222]) ).
fof(f421,plain,
( neq(sK48,nil)
| nil != sK47 ),
inference(cnf_transformation,[],[f222]) ).
fof(f424,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f425,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f222]) ).
fof(f427,plain,
ssList(sK48),
inference(cnf_transformation,[],[f222]) ).
fof(f428,plain,
ssList(sK47),
inference(cnf_transformation,[],[f222]) ).
fof(f429,plain,
ssList(sK49),
inference(definition_unfolding,[],[f428,f424]) ).
fof(f430,plain,
ssList(sK50),
inference(definition_unfolding,[],[f427,f425]) ).
fof(f432,plain,
( neq(sK50,nil)
| nil != sK49 ),
inference(definition_unfolding,[],[f421,f425,f424]) ).
fof(f434,plain,
! [X5] :
( ~ segmentP(sK49,X5)
| ~ segmentP(sK50,X5)
| ~ neq(X5,nil)
| ~ ssList(X5)
| nil = sK50 ),
inference(definition_unfolding,[],[f411,f424,f425,f425]) ).
fof(f438,plain,
! [X2,X1] :
( ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X1,X2),X1) ),
inference(equality_resolution,[],[f237]) ).
fof(f449,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f304]) ).
fof(f457,plain,
! [X1] :
( ~ ssList(nil)
| ~ ssList(X1)
| nil != X1
| nil = app(nil,X1) ),
inference(equality_resolution,[],[f396]) ).
fof(f458,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil = app(nil,nil) ),
inference(equality_resolution,[],[f457]) ).
fof(f471,plain,
! [X2,X1] :
( ssList(app(X1,X2))
| ssList(X1)
| ssList(X2)
| ~ frontsegP(app(X1,X2),X1) ),
inference(consistent_polarity_flipping,[],[f438]) ).
fof(f472,plain,
! [X0,X1] :
( ~ ssList(sK5(X0,X1))
| ssList(X1)
| ssList(X0)
| frontsegP(X0,X1) ),
inference(consistent_polarity_flipping,[],[f236]) ).
fof(f473,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ssList(X1)
| app(X1,sK5(X0,X1)) = X0
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f235]) ).
fof(f539,plain,
! [X1] :
( ssList(X1)
| ssList(X1)
| ~ neq(X1,X1) ),
inference(consistent_polarity_flipping,[],[f449]) ).
fof(f542,plain,
~ ssList(nil),
inference(consistent_polarity_flipping,[],[f306]) ).
fof(f554,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ssList(X1)
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f318]) ).
fof(f556,plain,
! [X0] :
( ssList(X0)
| app(nil,X0) = X0 ),
inference(consistent_polarity_flipping,[],[f320]) ).
fof(f573,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X2)
| ssList(X1)
| ssList(X2)
| frontsegP(X1,X2)
| frontsegP(X0,X1)
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f338]) ).
fof(f581,plain,
! [X0] :
( frontsegP(nil,X0)
| nil = X0
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f347]) ).
fof(f592,plain,
! [X0] :
( segmentP(X0,X0)
| ssList(X0) ),
inference(consistent_polarity_flipping,[],[f357]) ).
fof(f593,plain,
! [X2,X3,X0,X1] :
( ~ segmentP(X0,X1)
| ssList(X1)
| ssList(X2)
| ssList(X3)
| ssList(X0)
| segmentP(app(app(X2,X0),X3),X1) ),
inference(consistent_polarity_flipping,[],[f358]) ).
fof(f624,plain,
( ssList(nil)
| ssList(nil)
| nil = app(nil,nil) ),
inference(consistent_polarity_flipping,[],[f458]) ).
fof(f641,plain,
~ ssList(sK49),
inference(consistent_polarity_flipping,[],[f429]) ).
fof(f642,plain,
~ ssList(sK50),
inference(consistent_polarity_flipping,[],[f430]) ).
fof(f645,plain,
( nil = sK49
| ~ frontsegP(sK50,sK51) ),
inference(consistent_polarity_flipping,[],[f419]) ).
fof(f647,plain,
( nil = sK49
| ~ ssList(sK51) ),
inference(consistent_polarity_flipping,[],[f417]) ).
fof(f648,plain,
( nil = sK50
| ~ frontsegP(sK50,sK51) ),
inference(consistent_polarity_flipping,[],[f415]) ).
fof(f649,plain,
( nil = sK50
| ~ frontsegP(sK49,sK51) ),
inference(consistent_polarity_flipping,[],[f414]) ).
fof(f650,plain,
( nil = sK50
| ~ ssList(sK51) ),
inference(consistent_polarity_flipping,[],[f413]) ).
fof(f652,plain,
! [X5] :
( ~ segmentP(sK49,X5)
| ~ segmentP(sK50,X5)
| ~ neq(X5,nil)
| ssList(X5)
| nil = sK50 ),
inference(consistent_polarity_flipping,[],[f434]) ).
fof(f654,plain,
( ssList(nil)
| nil = app(nil,nil) ),
inference(duplicate_literal_removal,[],[f624]) ).
fof(f657,plain,
! [X1] :
( ~ neq(X1,X1)
| ssList(X1) ),
inference(duplicate_literal_removal,[],[f539]) ).
fof(f661,definition,
( spl52_1
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl52_1])],[avatar_definition]) ).
fof(f663,plain,
( nil = sK50
| ~ spl52_1 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f665,definition,
( spl52_2
<=> ! [X5] :
( ~ segmentP(sK49,X5)
| ssList(X5)
| ~ neq(X5,nil)
| ~ segmentP(sK50,X5) ) ),
introduced(definition,[new_symbols(definition,[spl52_2])],[avatar_definition]) ).
fof(f666,plain,
( ! [X5] :
( ~ segmentP(sK50,X5)
| ssList(X5)
| ~ neq(X5,nil)
| ~ segmentP(sK49,X5) )
| ~ spl52_2 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f667,plain,
( spl52_1
| spl52_2 ),
inference(avatar_split_clause,[],[f652,f665,f661]) ).
fof(f669,definition,
( spl52_3
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl52_3])],[avatar_definition]) ).
fof(f674,definition,
( spl52_4
<=> ssList(sK51) ),
introduced(definition,[new_symbols(definition,[spl52_4])],[avatar_definition]) ).
fof(f676,plain,
( ~ ssList(sK51)
| spl52_4 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f677,plain,
( ~ spl52_4
| spl52_1 ),
inference(avatar_split_clause,[],[f650,f661,f674]) ).
fof(f679,definition,
( spl52_5
<=> frontsegP(sK49,sK51) ),
introduced(definition,[new_symbols(definition,[spl52_5])],[avatar_definition]) ).
fof(f681,plain,
( ~ frontsegP(sK49,sK51)
| spl52_5 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f682,plain,
( ~ spl52_5
| spl52_1 ),
inference(avatar_split_clause,[],[f649,f661,f679]) ).
fof(f684,definition,
( spl52_6
<=> frontsegP(sK50,sK51) ),
introduced(definition,[new_symbols(definition,[spl52_6])],[avatar_definition]) ).
fof(f686,plain,
( ~ frontsegP(sK50,sK51)
| spl52_6 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f687,plain,
( ~ spl52_6
| spl52_1 ),
inference(avatar_split_clause,[],[f648,f661,f684]) ).
fof(f689,definition,
( spl52_7
<=> neq(sK51,nil) ),
introduced(definition,[new_symbols(definition,[spl52_7])],[avatar_definition]) ).
fof(f691,plain,
( neq(sK51,nil)
| ~ spl52_7 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f692,plain,
( spl52_7
| spl52_1 ),
inference(avatar_split_clause,[],[f416,f661,f689]) ).
fof(f693,plain,
( ~ spl52_4
| spl52_3 ),
inference(avatar_split_clause,[],[f647,f669,f674]) ).
fof(f695,plain,
( ~ spl52_6
| spl52_3 ),
inference(avatar_split_clause,[],[f645,f669,f684]) ).
fof(f696,plain,
( spl52_7
| spl52_3 ),
inference(avatar_split_clause,[],[f420,f669,f689]) ).
fof(f698,definition,
( spl52_8
<=> neq(sK50,nil) ),
introduced(definition,[new_symbols(definition,[spl52_8])],[avatar_definition]) ).
fof(f700,plain,
( neq(sK50,nil)
| ~ spl52_8 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f701,plain,
( ~ spl52_3
| spl52_8 ),
inference(avatar_split_clause,[],[f432,f698,f669]) ).
fof(f704,definition,
( spl52_9
<=> nil = app(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl52_9])],[avatar_definition]) ).
fof(f706,plain,
( nil = app(nil,nil)
| ~ spl52_9 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f708,definition,
( spl52_10
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl52_10])],[avatar_definition]) ).
fof(f709,plain,
( ~ ssList(nil)
| spl52_10 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f711,plain,
( spl52_9
| spl52_10 ),
inference(avatar_split_clause,[],[f654,f708,f704]) ).
fof(f737,plain,
~ spl52_10,
inference(avatar_split_clause,[],[f542,f708]) ).
fof(f750,definition,
( spl52_17
<=> neq(nil,nil) ),
introduced(definition,[new_symbols(definition,[spl52_17])],[avatar_definition]) ).
fof(f751,plain,
( neq(nil,nil)
| ~ spl52_17 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f780,plain,
( sK51 = app(nil,sK51)
| spl52_4 ),
inference(resolution,[],[f556,f676]) ).
fof(f1012,definition,
( spl52_19
<=> nil = sK51 ),
introduced(definition,[new_symbols(definition,[spl52_19])],[avatar_definition]) ).
fof(f1013,plain,
( nil != sK51
| spl52_19 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f1014,plain,
( nil = sK51
| ~ spl52_19 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f1077,plain,
( neq(nil,nil)
| ~ spl52_1
| ~ spl52_8 ),
inference(superposition,[],[f700,f663]) ).
fof(f1091,plain,
( neq(nil,nil)
| ~ spl52_7
| ~ spl52_19 ),
inference(superposition,[],[f691,f1014]) ).
fof(f1269,plain,
! [X2,X1] :
( ~ frontsegP(app(X1,X2),X1)
| ssList(X2)
| ssList(X1) ),
inference(forward_subsumption_resolution,[],[f471,f554]) ).
fof(f1438,plain,
( ssList(sK51)
| sK49 = app(sK51,sK5(sK49,sK51))
| ssList(sK49)
| spl52_5 ),
inference(resolution,[],[f473,f681]) ).
fof(f1439,plain,
( ssList(sK51)
| sK50 = app(sK51,sK5(sK50,sK51))
| ssList(sK50)
| spl52_6 ),
inference(resolution,[],[f473,f686]) ).
fof(f1451,plain,
( sK50 = app(sK51,sK5(sK50,sK51))
| ssList(sK50)
| spl52_4
| spl52_6 ),
inference(forward_subsumption_resolution,[],[f1439,f676]) ).
fof(f1452,plain,
( sK49 = app(sK51,sK5(sK49,sK51))
| ssList(sK49)
| spl52_4
| spl52_5 ),
inference(forward_subsumption_resolution,[],[f1438,f676]) ).
fof(f1453,plain,
( sK50 = app(sK51,sK5(sK50,sK51))
| spl52_4
| spl52_6 ),
inference(forward_subsumption_resolution,[],[f1451,f642]) ).
fof(f1454,plain,
( sK49 = app(sK51,sK5(sK49,sK51))
| spl52_4
| spl52_5 ),
inference(forward_subsumption_resolution,[],[f1452,f641]) ).
fof(f1613,plain,
! [X0,X1] :
( ssList(X0)
| ssList(X1)
| frontsegP(X0,X1)
| frontsegP(nil,X0)
| ssList(nil)
| nil = X1
| ssList(X1) ),
inference(resolution,[],[f573,f581]) ).
fof(f1620,plain,
! [X0,X1] :
( ssList(X0)
| ssList(X1)
| frontsegP(X0,X1)
| frontsegP(nil,X0)
| ssList(nil)
| nil = X1 ),
inference(duplicate_literal_removal,[],[f1613]) ).
fof(f1621,plain,
( ! [X0,X1] :
( frontsegP(X0,X1)
| frontsegP(nil,X0)
| ssList(X0)
| ssList(X1)
| nil = X1 )
| spl52_10 ),
inference(forward_subsumption_resolution,[],[f1620,f709]) ).
fof(f2216,plain,
! [X2,X0,X1] :
( ssList(X0)
| ssList(X1)
| ssList(X2)
| ssList(X0)
| segmentP(app(app(X1,X0),X2),X0)
| ssList(X0) ),
inference(resolution,[],[f593,f592]) ).
fof(f2220,plain,
! [X2,X0,X1] :
( segmentP(app(app(X1,X0),X2),X0)
| ssList(X1)
| ssList(X2)
| ssList(X0) ),
inference(duplicate_literal_removal,[],[f2216]) ).
fof(f3439,definition,
( spl52_238
<=> ssList(sK5(sK50,sK51)) ),
introduced(definition,[new_symbols(definition,[spl52_238])],[avatar_definition]) ).
fof(f3440,plain,
( ~ ssList(sK5(sK50,sK51))
| spl52_238 ),
inference(avatar_component_clause,[],[f3439]) ).
fof(f3441,plain,
( ssList(sK5(sK50,sK51))
| ~ spl52_238 ),
inference(avatar_component_clause,[],[f3439]) ).
fof(f3504,definition,
( spl52_246
<=> ssList(sK5(sK49,sK51)) ),
introduced(definition,[new_symbols(definition,[spl52_246])],[avatar_definition]) ).
fof(f3505,plain,
( ~ ssList(sK5(sK49,sK51))
| spl52_246 ),
inference(avatar_component_clause,[],[f3504]) ).
fof(f3506,plain,
( ssList(sK5(sK49,sK51))
| ~ spl52_246 ),
inference(avatar_component_clause,[],[f3504]) ).
fof(f6548,plain,
( ssList(sK51)
| ssList(sK50)
| frontsegP(sK50,sK51)
| ~ spl52_238 ),
inference(resolution,[],[f3441,f472]) ).
fof(f6549,plain,
( ssList(sK50)
| frontsegP(sK50,sK51)
| spl52_4
| ~ spl52_238 ),
inference(forward_subsumption_resolution,[],[f6548,f676]) ).
fof(f6550,plain,
( frontsegP(sK50,sK51)
| spl52_4
| ~ spl52_238 ),
inference(forward_subsumption_resolution,[],[f6549,f642]) ).
fof(f6551,plain,
( $false
| spl52_4
| spl52_6
| ~ spl52_238 ),
inference(forward_subsumption_resolution,[],[f6550,f686]) ).
fof(f6552,plain,
( spl52_4
| spl52_6
| ~ spl52_238 ),
inference(avatar_contradiction_clause,[],[f6551]) ).
fof(f6686,plain,
( ssList(sK51)
| ssList(sK49)
| frontsegP(sK49,sK51)
| ~ spl52_246 ),
inference(resolution,[],[f3506,f472]) ).
fof(f6687,plain,
( ssList(sK49)
| frontsegP(sK49,sK51)
| spl52_4
| ~ spl52_246 ),
inference(forward_subsumption_resolution,[],[f6686,f676]) ).
fof(f6688,plain,
( frontsegP(sK49,sK51)
| spl52_4
| ~ spl52_246 ),
inference(forward_subsumption_resolution,[],[f6687,f641]) ).
fof(f6689,plain,
( $false
| spl52_4
| spl52_5
| ~ spl52_246 ),
inference(forward_subsumption_resolution,[],[f6688,f681]) ).
fof(f6690,plain,
( spl52_4
| spl52_5
| ~ spl52_246 ),
inference(avatar_contradiction_clause,[],[f6689]) ).
fof(f9733,plain,
( frontsegP(nil,sK50)
| ssList(sK50)
| ssList(sK51)
| nil = sK51
| spl52_6
| spl52_10 ),
inference(resolution,[],[f1621,f686]) ).
fof(f9749,plain,
( frontsegP(nil,sK50)
| ssList(sK51)
| nil = sK51
| spl52_6
| spl52_10 ),
inference(forward_subsumption_resolution,[],[f9733,f642]) ).
fof(f9754,plain,
( frontsegP(nil,sK50)
| nil = sK51
| spl52_4
| spl52_6
| spl52_10 ),
inference(forward_subsumption_resolution,[],[f9749,f676]) ).
fof(f9757,plain,
( frontsegP(nil,sK50)
| spl52_4
| spl52_6
| spl52_10
| spl52_19 ),
inference(forward_subsumption_resolution,[],[f9754,f1013]) ).
fof(f9981,plain,
( ! [X0] :
( segmentP(app(sK51,X0),sK51)
| ssList(nil)
| ssList(X0)
| ssList(sK51) )
| spl52_4 ),
inference(superposition,[],[f2220,f780]) ).
fof(f10003,plain,
( ! [X0] :
( segmentP(app(sK51,X0),sK51)
| ssList(X0)
| ssList(sK51) )
| spl52_4
| spl52_10 ),
inference(forward_subsumption_resolution,[],[f9981,f709]) ).
fof(f10015,plain,
( ! [X0] :
( segmentP(app(sK51,X0),sK51)
| ssList(X0) )
| spl52_4
| spl52_10 ),
inference(forward_subsumption_resolution,[],[f10003,f676]) ).
fof(f26943,definition,
( spl52_1134
<=> nil = app(sK50,sK50) ),
introduced(definition,[new_symbols(definition,[spl52_1134])],[avatar_definition]) ).
fof(f26944,plain,
( nil != app(sK50,sK50)
| spl52_1134 ),
inference(avatar_component_clause,[],[f26943]) ).
fof(f26945,plain,
( nil = app(sK50,sK50)
| ~ spl52_1134 ),
inference(avatar_component_clause,[],[f26943]) ).
fof(f27121,plain,
( ~ frontsegP(nil,sK50)
| ssList(sK50)
| ssList(sK50)
| ~ spl52_1134 ),
inference(superposition,[],[f1269,f26945]) ).
fof(f27138,plain,
( ~ frontsegP(nil,sK50)
| ssList(sK50)
| ~ spl52_1134 ),
inference(duplicate_literal_removal,[],[f27121]) ).
fof(f27159,plain,
( ssList(sK50)
| spl52_4
| spl52_6
| spl52_10
| spl52_19
| ~ spl52_1134 ),
inference(forward_subsumption_resolution,[],[f27138,f9757]) ).
fof(f27173,plain,
( $false
| spl52_4
| spl52_6
| spl52_10
| spl52_19
| ~ spl52_1134 ),
inference(forward_subsumption_resolution,[],[f27159,f642]) ).
fof(f27174,plain,
( spl52_4
| spl52_6
| spl52_10
| spl52_19
| ~ spl52_1134 ),
inference(avatar_contradiction_clause,[],[f27173]) ).
fof(f73084,plain,
( segmentP(sK50,sK51)
| ssList(sK5(sK50,sK51))
| spl52_4
| spl52_6
| spl52_10 ),
inference(superposition,[],[f10015,f1453]) ).
fof(f73085,plain,
( segmentP(sK49,sK51)
| ssList(sK5(sK49,sK51))
| spl52_4
| spl52_5
| spl52_10 ),
inference(superposition,[],[f10015,f1454]) ).
fof(f73088,plain,
( segmentP(sK49,sK51)
| spl52_4
| spl52_5
| spl52_10
| spl52_246 ),
inference(forward_subsumption_resolution,[],[f73085,f3505]) ).
fof(f73089,plain,
( segmentP(sK50,sK51)
| spl52_4
| spl52_6
| spl52_10
| spl52_238 ),
inference(forward_subsumption_resolution,[],[f73084,f3440]) ).
fof(f73429,plain,
( ssList(sK51)
| ~ neq(sK51,nil)
| ~ segmentP(sK49,sK51)
| ~ spl52_2
| spl52_4
| spl52_6
| spl52_10
| spl52_238 ),
inference(resolution,[],[f73089,f666]) ).
fof(f73442,plain,
( ~ neq(sK51,nil)
| ~ segmentP(sK49,sK51)
| ~ spl52_2
| spl52_4
| spl52_6
| spl52_10
| spl52_238 ),
inference(forward_subsumption_resolution,[],[f73429,f676]) ).
fof(f73449,plain,
( ~ segmentP(sK49,sK51)
| ~ spl52_2
| spl52_4
| spl52_6
| ~ spl52_7
| spl52_10
| spl52_238 ),
inference(forward_subsumption_resolution,[],[f73442,f691]) ).
fof(f73451,plain,
( $false
| ~ spl52_2
| spl52_4
| spl52_5
| spl52_6
| ~ spl52_7
| spl52_10
| spl52_238
| spl52_246 ),
inference(forward_subsumption_resolution,[],[f73449,f73088]) ).
fof(f73452,plain,
( ~ spl52_2
| spl52_4
| spl52_5
| spl52_6
| ~ spl52_7
| spl52_10
| spl52_238
| spl52_246 ),
inference(avatar_contradiction_clause,[],[f73451]) ).
fof(f73455,plain,
( spl52_17
| ~ spl52_1
| ~ spl52_8 ),
inference(avatar_split_clause,[],[f1077,f698,f661,f750]) ).
fof(f73765,plain,
( spl52_17
| ~ spl52_7
| ~ spl52_19 ),
inference(avatar_split_clause,[],[f1091,f1012,f689,f750]) ).
fof(f76286,plain,
( nil != app(nil,nil)
| ~ spl52_1
| spl52_1134 ),
inference(superposition,[],[f26944,f663]) ).
fof(f76302,plain,
( $false
| ~ spl52_1
| ~ spl52_9
| spl52_1134 ),
inference(forward_subsumption_resolution,[],[f76286,f706]) ).
fof(f76303,plain,
( ~ spl52_1
| ~ spl52_9
| spl52_1134 ),
inference(avatar_contradiction_clause,[],[f76302]) ).
fof(f77350,plain,
( ssList(nil)
| ~ spl52_17 ),
inference(resolution,[],[f751,f657]) ).
fof(f77351,plain,
( $false
| spl52_10
| ~ spl52_17 ),
inference(forward_subsumption_resolution,[],[f77350,f709]) ).
fof(f77352,plain,
( spl52_10
| ~ spl52_17 ),
inference(avatar_contradiction_clause,[],[f77351]) ).
cnf(s1,plain,
( spl52_1
| spl52_2 ),
inference(sat_conversion,[],[f667]) ).
cnf(s3,plain,
( spl52_1
| ~ spl52_4 ),
inference(sat_conversion,[],[f677]) ).
cnf(s4,plain,
( spl52_1
| ~ spl52_5 ),
inference(sat_conversion,[],[f682]) ).
cnf(s5,plain,
( spl52_1
| ~ spl52_6 ),
inference(sat_conversion,[],[f687]) ).
cnf(s6,plain,
( spl52_1
| spl52_7 ),
inference(sat_conversion,[],[f692]) ).
cnf(s7,plain,
( spl52_3
| ~ spl52_4 ),
inference(sat_conversion,[],[f693]) ).
cnf(s9,plain,
( spl52_3
| ~ spl52_6 ),
inference(sat_conversion,[],[f695]) ).
cnf(s10,plain,
( spl52_3
| spl52_7 ),
inference(sat_conversion,[],[f696]) ).
cnf(s11,plain,
( ~ spl52_3
| spl52_8 ),
inference(sat_conversion,[],[f701]) ).
cnf(s13,plain,
( spl52_9
| spl52_10 ),
inference(sat_conversion,[],[f711]) ).
cnf(s21,plain,
~ spl52_10,
inference(sat_conversion,[],[f737]) ).
cnf(s382,plain,
( spl52_4
| spl52_6
| ~ spl52_238 ),
inference(sat_conversion,[],[f6552]) ).
cnf(s395,plain,
( spl52_4
| spl52_5
| ~ spl52_246 ),
inference(sat_conversion,[],[f6690]) ).
cnf(s1587,plain,
( spl52_4
| spl52_6
| spl52_10
| spl52_19
| ~ spl52_1134 ),
inference(sat_conversion,[],[f27174]) ).
cnf(s4374,plain,
( ~ spl52_2
| spl52_4
| spl52_5
| spl52_6
| ~ spl52_7
| spl52_10
| spl52_238
| spl52_246 ),
inference(sat_conversion,[],[f73452]) ).
cnf(s4376,plain,
( ~ spl52_1
| ~ spl52_8
| spl52_17 ),
inference(sat_conversion,[],[f73455]) ).
cnf(s4460,plain,
( ~ spl52_7
| spl52_17
| ~ spl52_19 ),
inference(sat_conversion,[],[f73765]) ).
cnf(s5326,plain,
( ~ spl52_1
| ~ spl52_9
| spl52_1134 ),
inference(sat_conversion,[],[f76303]) ).
cnf(s5483,plain,
( spl52_10
| ~ spl52_17 ),
inference(sat_conversion,[],[f77352]) ).
cnf(s5664,plain,
~ spl52_17,
inference(rat,[],[s5483,s21]) ).
cnf(s5715,plain,
spl52_9,
inference(rat,[],[s13,s21]) ).
cnf(s5716,plain,
spl52_1,
inference(rat,[],[s4374,s382,s395,s1,s3,s4,s5,s6,s21]) ).
cnf(s5717,plain,
spl52_1134,
inference(rat,[],[s5326,s5715,s5716]) ).
cnf(s5720,plain,
~ spl52_8,
inference(rat,[],[s4376,s5664,s5716]) ).
cnf(s5733,plain,
~ spl52_3,
inference(rat,[],[s11,s5720]) ).
cnf(s5742,plain,
spl52_7,
inference(rat,[],[s10,s5733]) ).
cnf(s5743,plain,
~ spl52_6,
inference(rat,[],[s9,s5733]) ).
cnf(s5745,plain,
~ spl52_4,
inference(rat,[],[s7,s5733]) ).
cnf(s5866,plain,
~ spl52_19,
inference(rat,[],[s4460,s5664,s5742]) ).
cnf(s5868,plain,
$false,
inference(rat,[],[s1587,s5717,s5866,s21,s5743,s5745]) ).
fof(f77353,plain,
$false,
inference(avatar_sat_refutation,[],[s5868]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC053+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n017.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 07:33:21 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 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
% 8.03/1.93 % (3377560)Will run a generic schedule for satisfiability detection.
% 8.03/1.93 % (3377568)dis+10_1_sil=32000:sp=arity:random_seed=1559469586:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.03/1.93 % (3377566)% WARNING: option uhcvi not known.
% 8.03/1.93 % (3377565)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1259876049_2999 on theBenchmark for (2999ds/0Mi)
% 8.03/1.93 % (3377566)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2695716895:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.03/1.93 % (3377567)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3591027077:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.03/1.93 % (3377570)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2082021600:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.03/1.93 % (3377569)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=110573900:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.03/1.93 % (3377571)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2936272656:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.03/1.93 % TRYING [1]
% 8.03/1.93 % TRYING [2]
% 8.03/1.93 % TRYING [3]
% 8.03/1.93 % (3377568)Instruction limit reached!
% 8.03/1.93 % (3377568)------------------------------
% 8.03/1.93 % (3377568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.93 % (3377568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.93 % (3377568)CaDiCaL version: 2.1.3
% 8.03/1.93 % (3377568)Termination reason: Instruction limit
% 8.03/1.93 % (3377568)Termination phase: Saturation
% 8.03/1.93 % (3377568)Time elapsed: 0.034 s
% 8.03/1.93 % (3377568)Peak memory usage: 13 MB
% 8.03/1.93 % (3377568)Instructions burned: 105 (million)
% 8.03/1.93 % TRYING [4]
% 8.03/1.93 % (3377579)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=333745244:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.03/1.93 % TRYING [1]
% 8.03/1.93 % TRYING [2]
% 8.03/1.93 % TRYING [3]
% 8.03/1.93 % (3377569)Instruction limit reached!
% 8.03/1.93 % (3377569)------------------------------
% 8.03/1.93 % (3377569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.93 % (3377569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.93 % (3377569)CaDiCaL version: 2.1.3
% 8.03/1.93 % (3377569)Termination reason: Instruction limit
% 8.03/1.93 % (3377569)Termination phase: Saturation
% 8.03/1.93 % (3377569)Time elapsed: 0.069 s
% 8.03/1.93 % (3377569)Peak memory usage: 13 MB
% 8.03/1.93 % (3377569)Instructions burned: 116 (million)
% 8.03/1.93 % TRYING [4]
% 8.03/1.93 % (3377570)Instruction limit reached!
% 8.03/1.93 % (3377570)------------------------------
% 8.03/1.93 % (3377570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.93 % (3377570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.93 % (3377570)CaDiCaL version: 2.1.3
% 8.03/1.93 % (3377570)Termination reason: Instruction limit
% 8.03/1.93 % (3377570)Termination phase: Saturation
% 8.03/1.93 % (3377570)Time elapsed: 0.077 s
% 8.03/1.93 % (3377570)Peak memory usage: 15 MB
% 8.03/1.93 % (3377570)Instructions burned: 131 (million)
% 8.03/1.93 % (3377581)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=471758215:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.03/1.93 % TRYING [5]
% 8.03/1.93 % (3377582)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=3291721466:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.03/1.93 % TRYING [5]
% 8.03/1.93 % (3377571)Instruction limit reached!
% 8.03/1.93 % (3377571)------------------------------
% 8.03/1.93 % (3377571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/1.93 % (3377571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/1.93 % (3377571)CaDiCaL version: 2.1.3
% 8.03/1.93 % (3377571)Termination reason: Instruction limit
% 8.03/1.93 % (3377571)Termination phase: Saturation
% 8.03/1.93 % (3377571)Time elapsed: 0.102 s
% 8.03/1.93 % (3377571)Peak memory usage: 15 MB
% 8.03/1.93 % (3377571)Instructions burned: 159 (million)
% 8.03/1.93 % (3377585)ott-21_1_sil=16000:fs=off:random_seed=1108497968:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.03/1.93 % (3377581)Instruction limit reached!
% 8.03/1.93 % (3377581)------------------------------
% 8.03/1.93 % (3377581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/2.80 % (3377581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.80 % (3377581)CaDiCaL version: 2.1.3
% 6.43/2.80 % (3377581)Termination reason: Instruction limit
% 6.43/2.80 % (3377581)Termination phase: Saturation
% 6.43/2.80 % (3377581)Time elapsed: 0.071 s
% 6.43/2.80 % (3377581)Peak memory usage: 13 MB
% 6.43/2.80 % (3377581)Instructions burned: 132 (million)
% 6.43/2.80 % (3377587)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2984332762:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 6.43/2.80 % TRYING [6]
% 6.43/2.80 % (3377579)Instruction limit reached!
% 6.43/2.80 % (3377579)------------------------------
% 6.43/2.80 % (3377579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/2.80 % (3377579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.80 % (3377579)CaDiCaL version: 2.1.3
% 6.43/2.80 % (3377579)Termination reason: Instruction limit
% 6.43/2.80 % (3377579)Termination phase: Finite model building constraint generation
% 6.43/2.80 % (3377579)Time elapsed: 0.165 s
% 6.43/2.80 % (3377579)Peak memory usage: 28 MB
% 6.43/2.80 % (3377579)Instructions burned: 714 (million)
% 6.43/2.80 % (3377585)Instruction limit reached!
% 6.43/2.80 % (3377585)------------------------------
% 6.43/2.80 % (3377585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/2.80 % (3377585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.80 % (3377585)CaDiCaL version: 2.1.3
% 6.43/2.80 % (3377585)Termination reason: Instruction limit
% 6.43/2.80 % (3377585)Termination phase: Saturation
% 6.43/2.80 % (3377585)Time elapsed: 0.090 s
% 6.43/2.80 % (3377585)Peak memory usage: 13 MB
% 6.43/2.80 % (3377585)Instructions burned: 180 (million)
% 6.43/2.80 % TRYING [6]
% 6.43/2.80 % (3377590)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2651299777:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 6.43/2.80 % (3377589)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2020412769:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.43/2.80 % TRYING [1]
% 6.43/2.80 % TRYING [2]
% 6.43/2.80 % TRYING [3]
% 6.43/2.80 % TRYING [4]
% 6.43/2.80 % TRYING [5]
% 6.43/2.80 % (3377582)Instruction limit reached!
% 6.43/2.80 % (3377582)------------------------------
% 6.43/2.80 % (3377582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/2.81 % (3377582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.81 % (3377582)CaDiCaL version: 2.1.3
% 6.43/2.81 % (3377582)Termination reason: Instruction limit
% 6.43/2.81 % (3377582)Termination phase: Saturation
% 6.43/2.81 % (3377582)Time elapsed: 0.364 s
% 6.43/2.81 % (3377582)Peak memory usage: 22 MB
% 6.43/2.81 % (3377582)Instructions burned: 684 (million)
% 6.43/2.81 % TRYING [7]
% 6.43/2.81 % (3377593)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3569805502:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 6.43/2.81 % (3377587)Instruction limit reached!
% 6.43/2.81 % (3377587)------------------------------
% 6.43/2.81 % (3377587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/2.81 % (3377587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.81 % (3377587)CaDiCaL version: 2.1.3
% 6.43/2.81 % (3377587)Termination reason: Instruction limit
% 6.43/2.81 % (3377587)Termination phase: Saturation
% 6.43/2.81 % (3377587)Time elapsed: 0.338 s
% 6.43/2.81 % (3377587)Peak memory usage: 15 MB
% 6.43/2.81 % (3377587)Instructions burned: 477 (million)
% 6.43/2.81 % (3377595)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=2113398454: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)
% 6.43/2.81 % (3377590)Instruction limit reached!
% 6.43/2.81 % (3377590)------------------------------
% 6.43/2.81 % (3377590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/2.81 % (3377590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.81 % (3377590)CaDiCaL version: 2.1.3
% 6.43/2.81 % (3377590)Termination reason: Instruction limit
% 6.43/2.81 % (3377590)Termination phase: Saturation
% 6.43/2.81 % (3377590)Time elapsed: 0.352 s
% 6.43/2.81 % (3377590)Peak memory usage: 30 MB
% 6.43/2.81 % (3377590)Instructions burned: 1180 (million)
% 6.43/2.81 % (3377589)Instruction limit reached!
% 6.43/2.81 % (3377589)------------------------------
% 6.43/2.81 % (3377589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/2.81 % (3377589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.81 % (3377589)CaDiCaL version: 2.1.3
% 6.43/2.81 % (3377589)Termination reason: Instruction limit
% 6.43/2.81 % (3377589)Termination phase: Finite model building SAT solving
% 6.43/2.81 % (3377589)Time elapsed: 0.350 s
% 6.43/2.81 % (3377589)Peak memory usage: 23 MB
% 6.43/2.81 % (3377589)Instructions burned: 866 (million)
% 6.43/2.81 % TRYING [14]
% 6.43/2.81 % (3377597)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3682336664:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 6.43/2.81 % (3377598)fmb+10_1_sil=64000:random_seed=3592028901:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 6.43/2.81 % TRYING [1]
% 6.43/2.81 % TRYING [2]
% 6.43/2.81 % TRYING [3]
% 6.43/2.81 % TRYING [4]
% 6.43/2.81 % TRYING [5]
% 6.43/2.81 % (3377593)Instruction limit reached!
% 6.43/2.81 % (3377593)------------------------------
% 6.43/2.81 % (3377593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/2.81 % (3377593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.81 % (3377593)CaDiCaL version: 2.1.3
% 6.43/2.81 % (3377593)Termination reason: Instruction limit
% 6.43/2.81 % (3377593)Termination phase: Finite model building constraint generation
% 6.43/2.81 % (3377593)Time elapsed: 0.321 s
% 6.43/2.81 % (3377593)Peak memory usage: 70 MB
% 6.43/2.81 % (3377593)Instructions burned: 892 (million)
% 6.43/2.81 % (3377601)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2971609820:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 6.43/2.81 % TRYING [20]
% 6.43/2.81 % (3377597)Instruction limit reached!
% 6.43/2.81 % (3377597)------------------------------
% 6.43/2.81 % (3377597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/2.81 % (3377597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.81 % (3377597)CaDiCaL version: 2.1.3
% 6.43/2.81 % (3377597)Termination reason: Instruction limit
% 6.43/2.81 % (3377597)Termination phase: Saturation
% 6.43/2.81 % (3377597)Time elapsed: 0.255 s
% 6.43/2.81 % (3377597)Peak memory usage: 20 MB
% 6.43/2.81 % (3377597)Instructions burned: 879 (million)
% 6.43/2.81 % (3377603)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=561265034:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 6.43/2.81 % TRYING [8]
% 6.43/2.81 % (3377595)Instruction limit reached!
% 6.43/2.81 % (3377595)------------------------------
% 6.43/2.81 % (3377595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/2.81 % (3377595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.81 % (3377595)CaDiCaL version: 2.1.3
% 6.43/2.81 % (3377595)Termination reason: Instruction limit
% 6.43/2.81 % (3377595)Termination phase: Saturation
% 6.43/2.81 % (3377595)Time elapsed: 0.386 s
% 6.43/2.81 % (3377595)Peak memory usage: 21 MB
% 6.43/2.81 % (3377595)Instructions burned: 694 (million)
% 6.43/2.81 % (3377605)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2787023952:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 6.43/2.81 % (3377603)Instruction limit reached!
% 6.43/2.81 % (3377603)------------------------------
% 6.43/2.81 % (3377603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/2.81 % (3377603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.81 % (3377603)CaDiCaL version: 2.1.3
% 6.43/2.81 % (3377603)Termination reason: Instruction limit
% 6.43/2.81 % (3377603)Termination phase: Finite model building constraint generation
% 6.43/2.81 % (3377603)Time elapsed: 0.190 s
% 6.43/2.81 % (3377603)Peak memory usage: 75 MB
% 6.43/2.81 % (3377603)Instructions burned: 922 (million)
% 6.43/2.81 % (3377607)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1160007403:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 6.43/2.81 % TRYING [6]
% 6.43/2.81 % TRYING [8]
% 6.43/2.81 % (3377607)Instruction limit reached!
% 6.43/2.81 % (3377607)------------------------------
% 6.43/2.81 % (3377607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/2.81 % (3377607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.81 % (3377607)CaDiCaL version: 2.1.3
% 6.43/2.81 % (3377607)Termination reason: Instruction limit
% 6.43/2.81 % (3377607)Termination phase: Saturation
% 6.43/2.81 % (3377607)Time elapsed: 0.384 s
% 6.43/2.81 % (3377607)Peak memory usage: 25 MB
% 6.43/2.81 % (3377607)Instructions burned: 1475 (million)
% 6.43/2.81 % (3377609)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2138902149:i=6324_2985 on theBenchmark for (2985ds/6324Mi)
% 6.43/2.81 % TRYING [77]
% 6.43/2.81 % TRYING [7]
% 6.43/2.81 % (3377566) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3377560-3377566"...
% 6.43/2.81 % (3377566)...printing done.
% 6.43/2.81 % (3377566)Refutation found. Thanks to Tanya!
% 6.43/2.81 % SZS status Theorem for theBenchmark
% 6.43/2.81 % SZS output start Proof for theBenchmark
% See solution above
% 6.43/2.81 % (3377566)------------------------------
% 6.43/2.81 % (3377566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.43/2.81 % (3377566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.43/2.81 % (3377566)CaDiCaL version: 2.1.3
% 6.43/2.81 % (3377566)Termination reason: Refutation
% 6.43/2.81 % (3377566)Time elapsed: 2.282 s
% 6.43/2.81 % (3377566)Peak memory usage: 49 MB
% 6.43/2.81 % (3377566)Instructions burned: 4329 (million)
% 6.43/2.81 % (3377560)Success in time 2.369 s
% 6.43/2.81 % Vampire exiting
%------------------------------------------------------------------------------