%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC192+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 : n011.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 01:05:02 PM UTC 2026
% Result : Theorem 10.39s 3.86s
% Output : Refutation 10.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 19
% Syntax : Number of formulae : 159 ( 23 unt; 8 def)
% Number of atoms : 584 ( 71 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 750 ( 325 ~; 331 |; 40 &)
% ( 18 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 9 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 120 ( 0 sgn 94 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).
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(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax36) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| X4 = X5 ) ) ) ) )
| ( ! [X8] :
( ssItem(X8)
=> ( cons(X8,nil) != X2
| ~ memberP(X3,X8) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
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
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| X4 = X5 ) ) ) ) )
| ( ! [X8] :
( ssItem(X8)
=> ( cons(X8,nil) != X2
| ~ memberP(X3,X8) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
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(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f148,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f176,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& X4 != X5
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( ? [X8] :
( cons(X8,nil) = X2
& memberP(X3,X8)
& ssItem(X8) )
| ( nil = X3
& nil = X2 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& X4 != X5
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( ? [X8] :
( cons(X8,nil) = X2
& memberP(X3,X8)
& ssItem(X8) )
| ( nil = X3
& nil = X2 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f228,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| memberP(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
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(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(f307,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) != X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f318,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f332,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X1,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f333,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(X2,X0)
| X0 = X1
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f336,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f361,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f411,plain,
ssList(sK55),
inference(cnf_transformation,[],[f222]) ).
fof(f412,plain,
sK51 != sK53,
inference(cnf_transformation,[],[f222]) ).
fof(f413,plain,
sK47 = app(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)),sK55),
inference(cnf_transformation,[],[f222]) ).
fof(f414,plain,
ssList(sK54),
inference(cnf_transformation,[],[f222]) ).
fof(f415,plain,
ssItem(sK53),
inference(cnf_transformation,[],[f222]) ).
fof(f418,plain,
( nil = sK50
| sK49 = cons(sK52,nil) ),
inference(cnf_transformation,[],[f222]) ).
fof(f419,plain,
( nil = sK49
| ssItem(sK52) ),
inference(cnf_transformation,[],[f222]) ).
fof(f420,plain,
( nil = sK49
| memberP(sK50,sK52) ),
inference(cnf_transformation,[],[f222]) ).
fof(f422,plain,
ssItem(sK51),
inference(cnf_transformation,[],[f222]) ).
fof(f424,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f426,plain,
ssList(sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f431,plain,
sK49 = app(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)),sK55),
inference(definition_unfolding,[],[f413,f424]) ).
fof(f433,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f228]) ).
fof(f437,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f241]) ).
fof(f465,definition,
( spl56_1
<=> ssItem(sK52) ),
introduced(definition,[new_symbols(definition,[spl56_1])],[avatar_definition]) ).
fof(f467,plain,
( ssItem(sK52)
| ~ spl56_1 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f469,definition,
( spl56_2
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl56_2])],[avatar_definition]) ).
fof(f470,plain,
( nil != sK50
| spl56_2 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f471,plain,
( nil = sK50
| ~ spl56_2 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f475,definition,
( spl56_3
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl56_3])],[avatar_definition]) ).
fof(f477,plain,
( nil = sK49
| ~ spl56_3 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f478,plain,
( spl56_1
| spl56_3 ),
inference(avatar_split_clause,[],[f419,f475,f465]) ).
fof(f479,plain,
( memberP(nil,sK52)
| nil = sK49
| ~ spl56_2 ),
inference(forward_demodulation,[],[f420,f471]) ).
fof(f481,definition,
( spl56_4
<=> memberP(nil,sK52) ),
introduced(definition,[new_symbols(definition,[spl56_4])],[avatar_definition]) ).
fof(f483,plain,
( memberP(nil,sK52)
| ~ spl56_4 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f484,plain,
( spl56_3
| spl56_4
| ~ spl56_2 ),
inference(avatar_split_clause,[],[f479,f469,f481,f475]) ).
fof(f485,plain,
( ssList(nil)
| ~ spl56_3 ),
inference(superposition,[],[f426,f477]) ).
fof(f486,plain,
( nil = app(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)),sK55)
| ~ spl56_3 ),
inference(forward_demodulation,[],[f431,f477]) ).
fof(f617,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK53,X0) != X0 ),
inference(resolution,[],[f307,f415]) ).
fof(f851,plain,
sK49 != cons(sK53,sK49),
inference(resolution,[],[f617,f426]) ).
fof(f856,plain,
( nil != cons(sK53,nil)
| ~ spl56_3 ),
inference(forward_demodulation,[],[f851,f477]) ).
fof(f2336,plain,
( segmentP(nil,cons(sK53,nil))
| ~ ssList(cons(sK53,nil))
| ~ ssList(sK55)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(nil)
| ~ spl56_3 ),
inference(superposition,[],[f437,f486]) ).
fof(f2341,plain,
( segmentP(nil,cons(sK53,nil))
| ~ ssList(cons(sK53,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(nil)
| ~ spl56_3 ),
inference(forward_subsumption_resolution,[],[f2336,f411]) ).
fof(f3458,definition,
( spl56_13
<=> ssList(cons(sK53,nil)) ),
introduced(definition,[new_symbols(definition,[spl56_13])],[avatar_definition]) ).
fof(f3459,plain,
( ssList(cons(sK53,nil))
| ~ spl56_13 ),
inference(avatar_component_clause,[],[f3458]) ).
fof(f3460,plain,
( ~ ssList(cons(sK53,nil))
| spl56_13 ),
inference(avatar_component_clause,[],[f3458]) ).
fof(f3462,definition,
( spl56_14
<=> segmentP(nil,cons(sK53,nil)) ),
introduced(definition,[new_symbols(definition,[spl56_14])],[avatar_definition]) ).
fof(f3463,plain,
( ~ segmentP(nil,cons(sK53,nil))
| spl56_14 ),
inference(avatar_component_clause,[],[f3462]) ).
fof(f3464,plain,
( segmentP(nil,cons(sK53,nil))
| ~ spl56_14 ),
inference(avatar_component_clause,[],[f3462]) ).
fof(f3470,plain,
( ~ ssItem(sK53)
| ~ ssList(nil)
| spl56_13 ),
inference(resolution,[],[f3460,f305]) ).
fof(f3471,plain,
( ~ ssList(nil)
| spl56_13 ),
inference(forward_subsumption_resolution,[],[f3470,f415]) ).
fof(f3543,plain,
( nil = cons(sK53,nil)
| ~ ssList(cons(sK53,nil))
| ~ spl56_14 ),
inference(resolution,[],[f3464,f361]) ).
fof(f3546,plain,
( ~ ssList(cons(sK53,nil))
| ~ spl56_3
| ~ spl56_14 ),
inference(forward_subsumption_resolution,[],[f3543,f856]) ).
fof(f3548,plain,
( $false
| ~ spl56_3
| ~ spl56_13
| ~ spl56_14 ),
inference(forward_subsumption_resolution,[],[f3546,f3459]) ).
fof(f3549,plain,
( ~ spl56_3
| ~ spl56_13
| ~ spl56_14 ),
inference(avatar_contradiction_clause,[],[f3548]) ).
fof(f3561,plain,
( segmentP(nil,cons(sK53,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(nil)
| ~ spl56_3
| ~ spl56_13 ),
inference(forward_subsumption_resolution,[],[f2341,f3459]) ).
fof(f3578,plain,
( segmentP(nil,cons(sK53,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_3
| ~ spl56_13 ),
inference(forward_subsumption_resolution,[],[f3561,f485]) ).
fof(f3701,plain,
( ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_3
| ~ spl56_13
| spl56_14 ),
inference(forward_subsumption_resolution,[],[f3578,f3463]) ).
fof(f3702,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(sK54)
| ~ spl56_3
| ~ spl56_13
| spl56_14 ),
inference(resolution,[],[f3701,f318]) ).
fof(f3703,plain,
( ~ ssList(cons(sK51,nil))
| ~ spl56_3
| ~ spl56_13
| spl56_14 ),
inference(forward_subsumption_resolution,[],[f3702,f414]) ).
fof(f3747,plain,
( ~ ssItem(sK51)
| ~ ssList(nil)
| ~ spl56_3
| ~ spl56_13
| spl56_14 ),
inference(resolution,[],[f3703,f305]) ).
fof(f3748,plain,
( ~ ssList(nil)
| ~ spl56_3
| ~ spl56_13
| spl56_14 ),
inference(forward_subsumption_resolution,[],[f3747,f422]) ).
fof(f3749,plain,
( $false
| ~ spl56_3
| ~ spl56_13
| spl56_14 ),
inference(forward_subsumption_resolution,[],[f3748,f485]) ).
fof(f3750,plain,
( ~ spl56_3
| ~ spl56_13
| spl56_14 ),
inference(avatar_contradiction_clause,[],[f3749]) ).
fof(f3792,plain,
( ~ ssItem(sK52)
| ~ spl56_4 ),
inference(resolution,[],[f483,f336]) ).
fof(f3795,plain,
( $false
| ~ spl56_1
| ~ spl56_4 ),
inference(forward_subsumption_resolution,[],[f3792,f467]) ).
fof(f3796,plain,
( ~ spl56_1
| ~ spl56_4 ),
inference(avatar_contradiction_clause,[],[f3795]) ).
fof(f3898,plain,
( sK49 = cons(sK52,nil)
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f418,f470]) ).
fof(f3913,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssItem(sK52)
| ~ ssList(nil)
| memberP(nil,X0)
| sK52 = X0
| ~ ssItem(X0) )
| spl56_2 ),
inference(superposition,[],[f333,f3898]) ).
fof(f3956,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssList(nil)
| memberP(nil,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f3913,f467]) ).
fof(f4332,definition,
( spl56_16
<=> ssList(app(sK54,cons(sK51,nil))) ),
introduced(definition,[new_symbols(definition,[spl56_16])],[avatar_definition]) ).
fof(f4333,plain,
( ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_16 ),
inference(avatar_component_clause,[],[f4332]) ).
fof(f4334,plain,
( ~ ssList(app(sK54,cons(sK51,nil)))
| spl56_16 ),
inference(avatar_component_clause,[],[f4332]) ).
fof(f4340,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(sK54)
| spl56_16 ),
inference(resolution,[],[f4334,f318]) ).
fof(f4341,plain,
( ~ ssList(cons(sK51,nil))
| spl56_16 ),
inference(forward_subsumption_resolution,[],[f4340,f414]) ).
fof(f4342,plain,
( ~ ssItem(sK51)
| ~ ssList(nil)
| spl56_16 ),
inference(resolution,[],[f4341,f305]) ).
fof(f4343,plain,
( ~ ssList(nil)
| spl56_16 ),
inference(forward_subsumption_resolution,[],[f4342,f422]) ).
fof(f4366,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssList(nil)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f3956,f336]) ).
fof(f4375,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)))
| ~ ssList(sK55)
| ~ memberP(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)),X0)
| ~ ssItem(X0) ),
inference(superposition,[],[f332,f431]) ).
fof(f4400,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)))
| ~ memberP(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)),X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f4375,f411]) ).
fof(f4403,plain,
( $false
| spl56_16 ),
inference(forward_subsumption_resolution,[],[f306,f4343]) ).
fof(f4404,plain,
spl56_16,
inference(avatar_contradiction_clause,[],[f4403]) ).
fof(f5050,definition,
( spl56_18
<=> ssList(app(app(sK54,cons(sK51,nil)),cons(sK53,nil))) ),
introduced(definition,[new_symbols(definition,[spl56_18])],[avatar_definition]) ).
fof(f5051,plain,
( ssList(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)))
| ~ spl56_18 ),
inference(avatar_component_clause,[],[f5050]) ).
fof(f5052,plain,
( ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)))
| spl56_18 ),
inference(avatar_component_clause,[],[f5050]) ).
fof(f5059,plain,
( ~ ssList(cons(sK53,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| spl56_18 ),
inference(resolution,[],[f5052,f318]) ).
fof(f5060,plain,
( ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_13
| spl56_18 ),
inference(forward_subsumption_resolution,[],[f5059,f3459]) ).
fof(f5061,plain,
( $false
| ~ spl56_13
| ~ spl56_16
| spl56_18 ),
inference(forward_subsumption_resolution,[],[f5060,f4333]) ).
fof(f5062,plain,
( ~ spl56_13
| ~ spl56_16
| spl56_18 ),
inference(avatar_contradiction_clause,[],[f5061]) ).
fof(f7076,plain,
( ! [X0] :
( ~ memberP(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)),X0)
| memberP(sK49,X0)
| ~ ssItem(X0) )
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f4400,f5051]) ).
fof(f7080,plain,
( ! [X0] :
( memberP(sK49,X0)
| ~ ssItem(X0)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(cons(sK53,nil))
| ~ memberP(app(sK54,cons(sK51,nil)),X0)
| ~ ssItem(X0) )
| ~ spl56_18 ),
inference(resolution,[],[f7076,f332]) ).
fof(f7082,plain,
( memberP(sK49,sK53)
| ~ ssItem(sK53)
| ~ ssItem(sK53)
| ~ ssList(nil)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)))
| ~ spl56_18 ),
inference(resolution,[],[f7076,f433]) ).
fof(f7083,plain,
( memberP(sK49,sK53)
| ~ ssItem(sK53)
| ~ ssList(nil)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)))
| ~ spl56_18 ),
inference(duplicate_literal_removal,[],[f7082]) ).
fof(f7085,plain,
( ! [X0] :
( memberP(sK49,X0)
| ~ ssItem(X0)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(cons(sK53,nil))
| ~ memberP(app(sK54,cons(sK51,nil)),X0) )
| ~ spl56_18 ),
inference(duplicate_literal_removal,[],[f7080]) ).
fof(f7086,plain,
( memberP(sK49,sK53)
| ~ ssList(nil)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)))
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f7083,f415]) ).
fof(f7088,plain,
( ! [X0] :
( memberP(sK49,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK53,nil))
| ~ memberP(app(sK54,cons(sK51,nil)),X0) )
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f7085,f4333]) ).
fof(f7091,plain,
( ! [X0] :
( ~ memberP(app(sK54,cons(sK51,nil)),X0)
| ~ ssItem(X0)
| memberP(sK49,X0) )
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f7088,f3459]) ).
fof(f7779,plain,
( memberP(sK49,sK53)
| ~ ssList(nil)
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)))
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f7086,f4333]) ).
fof(f7785,plain,
( memberP(sK49,sK53)
| ~ ssList(nil)
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f7779,f5051]) ).
fof(f8034,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f4366,f306]) ).
fof(f8343,plain,
( memberP(sK49,sK53)
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f7785,f306]) ).
fof(f8345,plain,
( sK52 = sK53
| ~ ssItem(sK53)
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18 ),
inference(resolution,[],[f8343,f8034]) ).
fof(f8348,plain,
( sK52 = sK53
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f8345,f415]) ).
fof(f8365,plain,
( sK51 != sK52
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18 ),
inference(superposition,[],[f412,f8348]) ).
fof(f84825,plain,
( ~ ssItem(sK51)
| memberP(sK49,sK51)
| ~ ssItem(sK51)
| ~ ssList(nil)
| ~ ssList(sK54)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(resolution,[],[f7091,f433]) ).
fof(f84826,plain,
( ~ ssItem(sK51)
| memberP(sK49,sK51)
| ~ ssList(nil)
| ~ ssList(sK54)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(duplicate_literal_removal,[],[f84825]) ).
fof(f84829,plain,
( memberP(sK49,sK51)
| ~ ssList(nil)
| ~ ssList(sK54)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f84826,f422]) ).
fof(f84832,plain,
( memberP(sK49,sK51)
| ~ ssList(sK54)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f84829,f306]) ).
fof(f84835,plain,
( memberP(sK49,sK51)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f84832,f414]) ).
fof(f84836,plain,
( memberP(sK49,sK51)
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f84835,f4333]) ).
fof(f84837,plain,
( sK51 = sK52
| ~ ssItem(sK51)
| ~ spl56_1
| spl56_2
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(resolution,[],[f84836,f8034]) ).
fof(f84918,plain,
( ~ ssItem(sK51)
| ~ spl56_1
| spl56_2
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f84837,f8365]) ).
fof(f84959,plain,
( $false
| ~ spl56_1
| spl56_2
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(forward_subsumption_resolution,[],[f84918,f422]) ).
fof(f84960,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(avatar_contradiction_clause,[],[f84959]) ).
fof(f84962,plain,
( $false
| spl56_13 ),
inference(forward_subsumption_resolution,[],[f3471,f306]) ).
fof(f84963,plain,
spl56_13,
inference(avatar_contradiction_clause,[],[f84962]) ).
cnf(s2,plain,
( spl56_1
| spl56_3 ),
inference(sat_conversion,[],[f478]) ).
cnf(s3,plain,
( ~ spl56_2
| spl56_3
| spl56_4 ),
inference(sat_conversion,[],[f484]) ).
cnf(s18,plain,
( ~ spl56_3
| ~ spl56_13
| ~ spl56_14 ),
inference(sat_conversion,[],[f3549]) ).
cnf(s19,plain,
( ~ spl56_3
| ~ spl56_13
| spl56_14 ),
inference(sat_conversion,[],[f3750]) ).
cnf(s20,plain,
( ~ spl56_1
| ~ spl56_4 ),
inference(sat_conversion,[],[f3796]) ).
cnf(s23,plain,
spl56_16,
inference(sat_conversion,[],[f4404]) ).
cnf(s26,plain,
( ~ spl56_13
| ~ spl56_16
| spl56_18 ),
inference(sat_conversion,[],[f5062]) ).
cnf(s98,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_13
| ~ spl56_16
| ~ spl56_18 ),
inference(sat_conversion,[],[f84960]) ).
cnf(s99,plain,
spl56_13,
inference(sat_conversion,[],[f84963]) ).
cnf(s101,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18 ),
inference(rat,[],[s98,s99]) ).
cnf(s118,plain,
( ~ spl56_16
| spl56_18 ),
inference(rat,[],[s26,s99]) ).
cnf(s120,plain,
spl56_18,
inference(rat,[],[s118,s23]) ).
cnf(s127,plain,
( ~ spl56_3
| spl56_14 ),
inference(rat,[],[s19,s99]) ).
cnf(s128,plain,
( ~ spl56_3
| ~ spl56_14 ),
inference(rat,[],[s18,s99]) ).
cnf(s131,plain,
~ spl56_3,
inference(rat,[],[s128,s127]) ).
cnf(s135,plain,
spl56_1,
inference(rat,[],[s2,s131]) ).
cnf(s137,plain,
spl56_2,
inference(rat,[],[s101,s120,s23,s135]) ).
cnf(s138,plain,
~ spl56_4,
inference(rat,[],[s20,s135]) ).
cnf(s140,plain,
$false,
inference(rat,[],[s3,s131,s137,s138]) ).
fof(f85314,plain,
$false,
inference(avatar_sat_refutation,[],[s140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC192+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n011.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 08:22:16 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 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
% 13.94/2.41 % (3246749)Will run a generic schedule for satisfiability detection.
% 13.94/2.41 % (3246758)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1182252562:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.94/2.41 % (3246755)% WARNING: option uhcvi not known.
% 13.94/2.41 % (3246755)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3095603584:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.94/2.41 % (3246754)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1006379842_2999 on theBenchmark for (2999ds/0Mi)
% 13.94/2.41 % (3246756)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1334230151:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.94/2.41 % (3246757)dis+10_1_sil=32000:sp=arity:random_seed=676492436:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.94/2.41 % (3246759)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3362781090:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.94/2.41 % (3246760)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2088062699:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.94/2.41 % TRYING [1]
% 13.94/2.41 % TRYING [2]
% 13.94/2.41 % TRYING [3]
% 13.94/2.41 % (3246758)Instruction limit reached!
% 13.94/2.41 % (3246758)------------------------------
% 13.94/2.41 % (3246758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.94/2.41 % (3246758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.41 % (3246758)CaDiCaL version: 2.1.3
% 13.94/2.41 % (3246758)Termination reason: Instruction limit
% 13.94/2.41 % (3246758)Termination phase: Saturation
% 13.94/2.41 % (3246758)Time elapsed: 0.038 s
% 13.94/2.41 % (3246758)Peak memory usage: 13 MB
% 13.94/2.41 % (3246758)Instructions burned: 116 (million)
% 13.94/2.41 % TRYING [4]
% 13.94/2.41 % (3246768)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1172381782:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.94/2.41 % TRYING [1]
% 13.94/2.41 % TRYING [2]
% 13.94/2.41 % TRYING [3]
% 13.94/2.41 % (3246757)Instruction limit reached!
% 13.94/2.41 % (3246757)------------------------------
% 13.94/2.41 % (3246757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.94/2.41 % (3246757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.41 % (3246757)CaDiCaL version: 2.1.3
% 13.94/2.41 % (3246757)Termination reason: Instruction limit
% 13.94/2.41 % (3246757)Termination phase: Saturation
% 13.94/2.41 % (3246757)Time elapsed: 0.062 s
% 13.94/2.41 % (3246757)Peak memory usage: 13 MB
% 13.94/2.41 % (3246757)Instructions burned: 106 (million)
% 13.94/2.41 % TRYING [4]
% 13.94/2.41 % (3246759)Instruction limit reached!
% 13.94/2.41 % (3246759)------------------------------
% 13.94/2.41 % (3246759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.94/2.41 % (3246759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.41 % (3246759)CaDiCaL version: 2.1.3
% 13.94/2.41 % (3246759)Termination reason: Instruction limit
% 13.94/2.41 % (3246759)Termination phase: Saturation
% 13.94/2.41 % (3246759)Time elapsed: 0.077 s
% 13.94/2.41 % (3246759)Peak memory usage: 13 MB
% 13.94/2.41 % (3246759)Instructions burned: 132 (million)
% 13.94/2.41 % (3246770)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2609002194:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 13.94/2.41 % TRYING [5]
% 13.94/2.41 % TRYING [5]
% 13.94/2.41 % (3246771)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=4047653698:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.94/2.41 % (3246760)Instruction limit reached!
% 13.94/2.41 % (3246760)------------------------------
% 13.94/2.41 % (3246760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.94/2.41 % (3246760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.94/2.41 % (3246760)CaDiCaL version: 2.1.3
% 13.94/2.41 % (3246760)Termination reason: Instruction limit
% 13.94/2.41 % (3246760)Termination phase: Saturation
% 13.94/2.41 % (3246760)Time elapsed: 0.106 s
% 13.94/2.41 % (3246760)Peak memory usage: 15 MB
% 13.94/2.41 % (3246760)Instructions burned: 159 (million)
% 13.94/2.41 % (3246774)ott-21_1_sil=16000:fs=off:random_seed=3851632114:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.94/2.41 % (3246770)Instruction limit reached!
% 13.94/2.41 % (3246770)------------------------------
% 13.94/2.41 % (3246770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/3.85 % (3246770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/3.85 % (3246770)CaDiCaL version: 2.1.3
% 10.39/3.85 % (3246770)Termination reason: Instruction limit
% 10.39/3.85 % (3246770)Termination phase: Saturation
% 10.39/3.85 % (3246770)Time elapsed: 0.071 s
% 10.39/3.85 % (3246770)Peak memory usage: 13 MB
% 10.39/3.85 % (3246770)Instructions burned: 131 (million)
% 10.39/3.85 % (3246776)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2561511356:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 10.39/3.85 % TRYING [6]
% 10.39/3.85 % (3246768)Instruction limit reached!
% 10.39/3.85 % (3246768)------------------------------
% 10.39/3.85 % (3246768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/3.85 % (3246768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/3.85 % (3246768)CaDiCaL version: 2.1.3
% 10.39/3.85 % (3246768)Termination reason: Instruction limit
% 10.39/3.85 % (3246768)Termination phase: Finite model building constraint generation
% 10.39/3.85 % (3246768)Time elapsed: 0.159 s
% 10.39/3.85 % (3246768)Peak memory usage: 28 MB
% 10.39/3.85 % (3246768)Instructions burned: 720 (million)
% 10.39/3.85 % (3246774)Instruction limit reached!
% 10.39/3.85 % (3246774)------------------------------
% 10.39/3.85 % (3246774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/3.85 % (3246774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/3.85 % (3246774)CaDiCaL version: 2.1.3
% 10.39/3.85 % (3246774)Termination reason: Instruction limit
% 10.39/3.85 % (3246774)Termination phase: Saturation
% 10.39/3.85 % (3246774)Time elapsed: 0.085 s
% 10.39/3.85 % (3246774)Peak memory usage: 13 MB
% 10.39/3.85 % (3246774)Instructions burned: 180 (million)
% 10.39/3.85 % (3246778)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3902286084:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 10.39/3.85 % TRYING [6]
% 10.39/3.85 % TRYING [1]
% 10.39/3.85 % TRYING [2]
% 10.39/3.85 % TRYING [3]
% 10.39/3.85 % (3246780)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1730189874:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 10.39/3.85 % TRYING [4]
% 10.39/3.85 % TRYING [5]
% 10.39/3.85 % (3246778)Instruction limit reached!
% 10.39/3.85 % (3246778)------------------------------
% 10.39/3.85 % (3246778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/3.86 % (3246778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/3.86 % (3246778)CaDiCaL version: 2.1.3
% 10.39/3.86 % (3246778)Termination reason: Instruction limit
% 10.39/3.86 % (3246778)Termination phase: Finite model building SAT solving
% 10.39/3.86 % (3246778)Time elapsed: 0.182 s
% 10.39/3.86 % (3246778)Peak memory usage: 22 MB
% 10.39/3.86 % (3246778)Instructions burned: 866 (million)
% 10.39/3.86 % (3246782)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=596974738:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 10.39/3.86 % (3246771)Instruction limit reached!
% 10.39/3.86 % (3246771)------------------------------
% 10.39/3.86 % (3246771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/3.86 % (3246771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/3.86 % (3246771)CaDiCaL version: 2.1.3
% 10.39/3.86 % (3246771)Termination reason: Instruction limit
% 10.39/3.86 % (3246771)Termination phase: Saturation
% 10.39/3.86 % (3246771)Time elapsed: 0.363 s
% 10.39/3.86 % (3246771)Peak memory usage: 22 MB
% 10.39/3.86 % (3246771)Instructions burned: 684 (million)
% 10.39/3.86 % TRYING [14]
% 10.39/3.86 % (3246784)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=3785101287:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 10.39/3.86 % (3246776)Instruction limit reached!
% 10.39/3.86 % (3246776)------------------------------
% 10.39/3.86 % (3246776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/3.86 % (3246776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/3.86 % (3246776)CaDiCaL version: 2.1.3
% 10.39/3.86 % (3246776)Termination reason: Instruction limit
% 10.39/3.86 % (3246776)Termination phase: Saturation
% 10.39/3.86 % (3246776)Time elapsed: 0.308 s
% 10.39/3.86 % (3246776)Peak memory usage: 14 MB
% 10.39/3.86 % (3246776)Instructions burned: 477 (million)
% 10.39/3.86 % (3246786)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2952991025:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 10.39/3.86 % TRYING [7]
% 10.39/3.86 % (3246782)Instruction limit reached!
% 10.39/3.86 % (3246782)------------------------------
% 10.39/3.86 % (3246782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/3.86 % (3246782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/3.86 % (3246782)CaDiCaL version: 2.1.3
% 10.39/3.86 % (3246782)Termination reason: Instruction limit
% 10.39/3.86 % (3246782)Termination phase: Finite model building constraint generation
% 10.39/3.86 % (3246782)Time elapsed: 0.177 s
% 10.39/3.86 % (3246782)Peak memory usage: 70 MB
% 10.39/3.86 % (3246782)Instructions burned: 890 (million)
% 10.39/3.86 % (3246788)fmb+10_1_sil=64000:random_seed=2672175569:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 10.39/3.86 % TRYING [1]
% 10.39/3.86 % TRYING [2]
% 10.39/3.86 % TRYING [3]
% 10.39/3.86 % TRYING [4]
% 10.39/3.86 % TRYING [5]
% 10.39/3.86 % (3246784)Instruction limit reached!
% 10.39/3.86 % (3246784)------------------------------
% 10.39/3.86 % (3246784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/3.86 % (3246784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/3.86 % (3246784)CaDiCaL version: 2.1.3
% 10.39/3.86 % (3246784)Termination reason: Instruction limit
% 10.39/3.86 % (3246784)Termination phase: Saturation
% 10.39/3.86 % (3246784)Time elapsed: 0.349 s
% 10.39/3.86 % (3246784)Peak memory usage: 21 MB
% 10.39/3.86 % (3246784)Instructions burned: 694 (million)
% 10.39/3.86 % (3246790)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3657079906:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 10.39/3.86 % TRYING [6]
% 10.39/3.86 % TRYING [20]
% 10.39/3.86 % (3246780)Instruction limit reached!
% 10.39/3.86 % (3246780)------------------------------
% 10.39/3.86 % (3246780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/3.86 % (3246780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/3.86 % (3246780)CaDiCaL version: 2.1.3
% 10.39/3.86 % (3246780)Termination reason: Instruction limit
% 10.39/3.86 % (3246780)Termination phase: Saturation
% 10.39/3.86 % (3246780)Time elapsed: 0.639 s
% 10.39/3.86 % (3246780)Peak memory usage: 25 MB
% 10.39/3.86 % (3246780)Instructions burned: 1179 (million)
% 10.39/3.86 % (3246792)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4013422840:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 10.39/3.86 % TRYING [8]
% 10.39/3.86 % (3246786)Instruction limit reached!
% 10.39/3.86 % (3246786)------------------------------
% 10.39/3.86 % (3246786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/3.86 % (3246786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/3.86 % (3246786)CaDiCaL version: 2.1.3
% 10.39/3.86 % (3246786)Termination reason: Instruction limit
% 10.39/3.86 % (3246786)Termination phase: Saturation
% 10.39/3.86 % (3246786)Time elapsed: 0.470 s
% 10.39/3.86 % (3246786)Peak memory usage: 20 MB
% 10.39/3.86 % (3246786)Instructions burned: 879 (million)
% 10.39/3.86 % (3246794)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=592796343:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 10.39/3.86 % (3246792)Instruction limit reached!
% 10.39/3.86 % (3246792)------------------------------
% 10.39/3.86 % (3246792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/3.86 % (3246792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/3.86 % (3246792)CaDiCaL version: 2.1.3
% 10.39/3.86 % (3246792)Termination reason: Instruction limit
% 10.39/3.86 % (3246792)Termination phase: Finite model building constraint generation
% 10.39/3.86 % (3246792)Time elapsed: 0.337 s
% 10.39/3.86 % (3246792)Peak memory usage: 69 MB
% 10.39/3.86 % (3246792)Instructions burned: 920 (million)
% 10.39/3.86 % TRYING [7]
% 10.39/3.86 % (3246796)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1263122003:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 10.39/3.86 % TRYING [8]
% 10.39/3.86 % (3246796)Instruction limit reached!
% 10.39/3.86 % (3246796)------------------------------
% 10.39/3.86 % (3246796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/3.86 % (3246796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/3.86 % (3246796)CaDiCaL version: 2.1.3
% 10.39/3.86 % (3246796)Termination reason: Instruction limit
% 10.39/3.86 % (3246796)Termination phase: Saturation
% 10.39/3.86 % (3246796)Time elapsed: 0.654 s
% 10.39/3.86 % (3246796)Peak memory usage: 23 MB
% 10.39/3.86 % (3246796)Instructions burned: 1474 (million)
% 10.39/3.86 % (3246798)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2834691001:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 10.39/3.86 % TRYING [77]
% 10.39/3.86 % TRYING [8]
% 10.39/3.86 % TRYING [9]
% 10.39/3.86 % (3246794) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3246749-3246794"...
% 10.39/3.86 % (3246794)...printing done.
% 10.39/3.86 % (3246794)Refutation found. Thanks to Tanya!
% 10.39/3.86 % SZS status Theorem for theBenchmark
% 10.39/3.86 % SZS output start Proof for theBenchmark
% See solution above
% 10.39/3.86 % (3246794)------------------------------
% 10.39/3.86 % (3246794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.39/3.86 % (3246794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/3.86 % (3246794)CaDiCaL version: 2.1.3
% 10.39/3.86 % (3246794)Termination reason: Refutation
% 10.39/3.86 % (3246794)Time elapsed: 2.311 s
% 10.39/3.86 % (3246794)Peak memory usage: 47 MB
% 10.39/3.86 % (3246794)Instructions burned: 4290 (million)
% 10.39/3.86 % (3246749)Success in time 3.421 s
% 10.39/3.86 % Vampire exiting
%------------------------------------------------------------------------------