%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC120+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 : n006.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 01:04:45 PM UTC 2026
% Result : Theorem 7.71s 1.63s
% Output : Refutation 7.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 18
% Syntax : Number of formulae : 135 ( 21 unt; 8 def)
% Number of atoms : 436 ( 86 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 523 ( 222 ~; 230 |; 36 &)
% ( 12 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 9 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 85 ( 0 sgn 69 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(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(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).
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) ) )
| ( neq(X0,nil)
& segmentP(X1,X0) ) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( ( ~ neq(X1,nil)
| ? [X4] :
( ssList(X4)
& X3 != X4
& ? [X5] :
( ssList(X5)
& tl(X3) = X5
& app(X2,X5) = X4
& neq(nil,X3) ) )
| ( neq(X0,nil)
& segmentP(X1,X0) ) )
& ( ~ neq(X1,nil)
| neq(X3,nil) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(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(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) ) )
& ( ~ neq(X0,nil)
| ~ segmentP(X1,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) ) )
& ( ~ neq(X0,nil)
| ~ segmentP(X1,X0) ) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f241,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f303,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X1)
| X0 = X1
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f304,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(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] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f316,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f318,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f320,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f389,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
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(f413,plain,
( ~ neq(sK50,nil)
| ~ segmentP(sK48,sK47)
| ~ neq(sK47,nil) ),
inference(cnf_transformation,[],[f222]) ).
fof(f415,plain,
neq(sK48,nil),
inference(cnf_transformation,[],[f222]) ).
fof(f417,plain,
ssList(sK50),
inference(cnf_transformation,[],[f222]) ).
fof(f418,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f419,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f222]) ).
fof(f420,plain,
ssList(sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f426,plain,
neq(sK50,nil),
inference(definition_unfolding,[],[f415,f419]) ).
fof(f428,plain,
( ~ neq(sK50,nil)
| ~ segmentP(sK50,sK49)
| ~ neq(sK49,nil) ),
inference(definition_unfolding,[],[f413,f419,f418,f418]) ).
fof(f435,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(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(f463,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f444]) ).
fof(f466,plain,
( ~ segmentP(sK50,sK49)
| ~ neq(sK49,nil) ),
inference(forward_subsumption_resolution,[],[f428,f426]) ).
fof(f468,definition,
( spl51_1
<=> neq(sK49,nil) ),
introduced(definition,[new_symbols(definition,[spl51_1])],[avatar_definition]) ).
fof(f470,plain,
( ~ neq(sK49,nil)
| spl51_1 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f472,definition,
( spl51_2
<=> segmentP(sK50,sK49) ),
introduced(definition,[new_symbols(definition,[spl51_2])],[avatar_definition]) ).
fof(f474,plain,
( ~ segmentP(sK50,sK49)
| spl51_2 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f475,plain,
( ~ spl51_1
| ~ spl51_2 ),
inference(avatar_split_clause,[],[f466,f472,f468]) ).
fof(f476,plain,
( ~ neq(nil,sK50)
| ~ ssList(tl(sK50))
| sK50 = app(sK49,tl(sK50))
| ~ ssList(app(sK49,tl(sK50))) ),
inference(forward_subsumption_resolution,[],[f456,f426]) ).
fof(f478,definition,
( spl51_3
<=> ssList(app(sK49,tl(sK50))) ),
introduced(definition,[new_symbols(definition,[spl51_3])],[avatar_definition]) ).
fof(f479,plain,
( ssList(app(sK49,tl(sK50)))
| ~ spl51_3 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f480,plain,
( ~ ssList(app(sK49,tl(sK50)))
| spl51_3 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f482,definition,
( spl51_4
<=> sK50 = app(sK49,tl(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_4])],[avatar_definition]) ).
fof(f484,plain,
( sK50 = app(sK49,tl(sK50))
| ~ spl51_4 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f486,definition,
( spl51_5
<=> ssList(tl(sK50)) ),
introduced(definition,[new_symbols(definition,[spl51_5])],[avatar_definition]) ).
fof(f487,plain,
( ssList(tl(sK50))
| ~ spl51_5 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f488,plain,
( ~ ssList(tl(sK50))
| spl51_5 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f490,definition,
( spl51_6
<=> neq(nil,sK50) ),
introduced(definition,[new_symbols(definition,[spl51_6])],[avatar_definition]) ).
fof(f492,plain,
( ~ neq(nil,sK50)
| spl51_6 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f493,plain,
( ~ spl51_3
| spl51_4
| ~ spl51_5
| ~ spl51_6 ),
inference(avatar_split_clause,[],[f476,f490,f486,f482,f478]) ).
fof(f515,plain,
sK49 = app(nil,sK49),
inference(resolution,[],[f320,f420]) ).
fof(f546,plain,
( ~ ssList(tl(sK50))
| ~ ssList(sK49)
| spl51_3 ),
inference(resolution,[],[f318,f480]) ).
fof(f555,plain,
( ~ ssList(tl(sK50))
| spl51_3 ),
inference(forward_subsumption_resolution,[],[f546,f420]) ).
fof(f556,plain,
( ~ spl51_5
| spl51_3 ),
inference(avatar_split_clause,[],[f555,f478,f486]) ).
fof(f557,plain,
( nil = sK50
| ~ ssList(sK50)
| spl51_5 ),
inference(resolution,[],[f488,f316]) ).
fof(f558,plain,
( nil = sK50
| spl51_5 ),
inference(forward_subsumption_resolution,[],[f557,f417]) ).
fof(f560,plain,
( neq(nil,nil)
| spl51_5 ),
inference(superposition,[],[f426,f558]) ).
fof(f570,plain,
( ~ ssList(nil)
| spl51_5 ),
inference(resolution,[],[f560,f463]) ).
fof(f571,plain,
( $false
| spl51_5 ),
inference(forward_subsumption_resolution,[],[f570,f306]) ).
fof(f572,plain,
spl51_5,
inference(avatar_contradiction_clause,[],[f571]) ).
fof(f574,plain,
( tl(sK50) = app(nil,tl(sK50))
| ~ spl51_5 ),
inference(resolution,[],[f487,f320]) ).
fof(f593,plain,
( ! [X0] :
( app(sK49,tl(sK50)) != cons(X0,app(sK49,tl(sK50)))
| ~ ssItem(X0) )
| ~ spl51_3 ),
inference(resolution,[],[f307,f479]) ).
fof(f649,definition,
( spl51_8
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl51_8])],[avatar_definition]) ).
fof(f651,plain,
( nil = sK49
| ~ spl51_8 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f657,plain,
( ~ ssList(nil)
| nil = sK49
| ~ ssList(sK49)
| spl51_1 ),
inference(resolution,[],[f303,f470]) ).
fof(f660,plain,
( ~ ssList(sK50)
| nil = sK50
| ~ ssList(nil)
| spl51_6 ),
inference(resolution,[],[f303,f492]) ).
fof(f663,plain,
( nil = sK50
| ~ ssList(nil)
| spl51_6 ),
inference(forward_subsumption_resolution,[],[f660,f417]) ).
fof(f664,plain,
( nil = sK49
| ~ ssList(sK49)
| spl51_1 ),
inference(forward_subsumption_resolution,[],[f657,f306]) ).
fof(f665,plain,
( nil = sK50
| spl51_6 ),
inference(forward_subsumption_resolution,[],[f663,f306]) ).
fof(f666,plain,
( nil = sK49
| spl51_1 ),
inference(forward_subsumption_resolution,[],[f664,f420]) ).
fof(f668,plain,
( neq(nil,nil)
| spl51_6 ),
inference(superposition,[],[f426,f665]) ).
fof(f729,plain,
( spl51_8
| spl51_1 ),
inference(avatar_split_clause,[],[f666,f468,f649]) ).
fof(f781,plain,
( ~ ssList(nil)
| spl51_6 ),
inference(resolution,[],[f668,f463]) ).
fof(f782,plain,
( $false
| spl51_6 ),
inference(forward_subsumption_resolution,[],[f781,f306]) ).
fof(f783,plain,
spl51_6,
inference(avatar_contradiction_clause,[],[f782]) ).
fof(f784,plain,
( ! [X0] :
( sK50 != cons(X0,sK50)
| ~ ssItem(X0) )
| ~ spl51_3
| ~ spl51_4 ),
inference(superposition,[],[f593,f484]) ).
fof(f915,plain,
( sK50 = app(nil,tl(sK50))
| ~ spl51_4
| ~ spl51_8 ),
inference(superposition,[],[f484,f651]) ).
fof(f939,plain,
( ~ neq(nil,nil)
| spl51_1
| ~ spl51_8 ),
inference(forward_demodulation,[],[f470,f651]) ).
fof(f948,plain,
( sK50 = tl(sK50)
| ~ spl51_4
| ~ spl51_5
| ~ spl51_8 ),
inference(superposition,[],[f915,f574]) ).
fof(f1024,definition,
( spl51_12
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl51_12])],[avatar_definition]) ).
fof(f1025,plain,
( nil != sK50
| spl51_12 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1026,plain,
( nil = sK50
| ~ spl51_12 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1105,plain,
( nil = sK50
| sK50 = cons(hd(sK50),tl(sK50)) ),
inference(resolution,[],[f389,f417]) ).
fof(f1106,plain,
( sK50 = cons(hd(sK50),sK50)
| nil = sK50
| ~ spl51_4
| ~ spl51_5
| ~ spl51_8 ),
inference(forward_demodulation,[],[f1105,f948]) ).
fof(f1236,plain,
( sK50 = cons(hd(sK50),sK50)
| ~ spl51_4
| ~ spl51_5
| ~ spl51_8
| spl51_12 ),
inference(forward_subsumption_resolution,[],[f1106,f1025]) ).
fof(f1254,plain,
( sK50 != sK50
| ~ ssItem(hd(sK50))
| ~ spl51_3
| ~ spl51_4
| ~ spl51_5
| ~ spl51_8
| spl51_12 ),
inference(superposition,[],[f784,f1236]) ).
fof(f1260,plain,
( ~ ssItem(hd(sK50))
| ~ spl51_3
| ~ spl51_4
| ~ spl51_5
| ~ spl51_8
| spl51_12 ),
inference(trivial_inequality_removal,[],[f1254]) ).
fof(f1262,plain,
( nil = sK50
| ~ ssList(sK50)
| ~ spl51_3
| ~ spl51_4
| ~ spl51_5
| ~ spl51_8
| spl51_12 ),
inference(resolution,[],[f1260,f314]) ).
fof(f1263,plain,
( ~ ssList(sK50)
| ~ spl51_3
| ~ spl51_4
| ~ spl51_5
| ~ spl51_8
| spl51_12 ),
inference(forward_subsumption_resolution,[],[f1262,f1025]) ).
fof(f1264,plain,
( $false
| ~ spl51_3
| ~ spl51_4
| ~ spl51_5
| ~ spl51_8
| spl51_12 ),
inference(forward_subsumption_resolution,[],[f1263,f417]) ).
fof(f1265,plain,
( ~ spl51_3
| ~ spl51_4
| ~ spl51_5
| ~ spl51_8
| spl51_12 ),
inference(avatar_contradiction_clause,[],[f1264]) ).
fof(f2417,plain,
! [X0] :
( segmentP(app(sK49,X0),sK49)
| ~ ssList(sK49)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(app(sK49,X0)) ),
inference(superposition,[],[f435,f515]) ).
fof(f2434,plain,
! [X0] :
( segmentP(app(sK49,X0),sK49)
| ~ ssList(sK49)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f2417,f318]) ).
fof(f2441,plain,
! [X0] :
( segmentP(app(sK49,X0),sK49)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f2434,f420]) ).
fof(f2446,plain,
! [X0] :
( segmentP(app(sK49,X0),sK49)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f2441,f306]) ).
fof(f2474,plain,
( segmentP(sK50,sK49)
| ~ ssList(tl(sK50))
| ~ spl51_4 ),
inference(superposition,[],[f2446,f484]) ).
fof(f2477,plain,
( ~ ssList(tl(sK50))
| spl51_2
| ~ spl51_4 ),
inference(forward_subsumption_resolution,[],[f2474,f474]) ).
fof(f2482,plain,
( $false
| spl51_2
| ~ spl51_4
| ~ spl51_5 ),
inference(forward_subsumption_resolution,[],[f2477,f487]) ).
fof(f2483,plain,
( spl51_2
| ~ spl51_4
| ~ spl51_5 ),
inference(avatar_contradiction_clause,[],[f2482]) ).
fof(f2539,plain,
( neq(nil,nil)
| ~ spl51_12 ),
inference(superposition,[],[f426,f1026]) ).
fof(f2584,plain,
( $false
| spl51_1
| ~ spl51_8
| ~ spl51_12 ),
inference(forward_subsumption_resolution,[],[f2539,f939]) ).
fof(f2585,plain,
( spl51_1
| ~ spl51_8
| ~ spl51_12 ),
inference(avatar_contradiction_clause,[],[f2584]) ).
cnf(s1,plain,
( ~ spl51_1
| ~ spl51_2 ),
inference(sat_conversion,[],[f475]) ).
cnf(s2,plain,
( ~ spl51_3
| spl51_4
| ~ spl51_5
| ~ spl51_6 ),
inference(sat_conversion,[],[f493]) ).
cnf(s3,plain,
( spl51_3
| ~ spl51_5 ),
inference(sat_conversion,[],[f556]) ).
cnf(s4,plain,
spl51_5,
inference(sat_conversion,[],[f572]) ).
cnf(s6,plain,
( spl51_1
| spl51_8 ),
inference(sat_conversion,[],[f729]) ).
cnf(s7,plain,
spl51_6,
inference(sat_conversion,[],[f783]) ).
cnf(s14,plain,
( ~ spl51_3
| ~ spl51_4
| ~ spl51_5
| ~ spl51_8
| spl51_12 ),
inference(sat_conversion,[],[f1265]) ).
cnf(s19,plain,
( spl51_2
| ~ spl51_4
| ~ spl51_5 ),
inference(sat_conversion,[],[f2483]) ).
cnf(s22,plain,
( spl51_1
| ~ spl51_8
| ~ spl51_12 ),
inference(sat_conversion,[],[f2585]) ).
cnf(s23,plain,
spl51_3,
inference(rat,[],[s3,s4]) ).
cnf(s24,plain,
spl51_4,
inference(rat,[],[s2,s7,s4,s23]) ).
cnf(s25,plain,
spl51_2,
inference(rat,[],[s19,s4,s24]) ).
cnf(s26,plain,
~ spl51_1,
inference(rat,[],[s1,s25]) ).
cnf(s27,plain,
spl51_8,
inference(rat,[],[s6,s26]) ).
cnf(s28,plain,
~ spl51_12,
inference(rat,[],[s22,s26,s27]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s14,s24,s23,s4,s28,s27]) ).
fof(f2587,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC120+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 28 07:59:25 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 Running first-order model finding
% 0.12/0.38 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
% 7.71/1.63 % (3812010)Will run a generic schedule for satisfiability detection.
% 7.71/1.63 % (3812015)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4060769414_2999 on theBenchmark for (2999ds/0Mi)
% 7.71/1.63 % (3812016)% WARNING: option uhcvi not known.
% 7.71/1.63 % (3812016)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2009495362:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.71/1.63 % (3812017)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1980699020:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.71/1.63 % TRYING [1]
% 7.71/1.63 % (3812018)dis+10_1_sil=32000:sp=arity:random_seed=3783803714:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.71/1.63 % (3812019)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=128470332:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.71/1.63 % (3812020)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3278608524:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.71/1.63 % (3812021)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3478910108:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.71/1.63 % TRYING [2]
% 7.71/1.63 % TRYING [3]
% 7.71/1.63 % TRYING [4]
% 7.71/1.63 % TRYING [5]
% 7.71/1.63 % (3812018)Instruction limit reached!
% 7.71/1.63 % (3812018)------------------------------
% 7.71/1.63 % (3812018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.63 % (3812018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.63 % (3812018)CaDiCaL version: 2.1.3
% 7.71/1.63 % (3812018)Termination reason: Instruction limit
% 7.71/1.63 % (3812018)Termination phase: Saturation
% 7.71/1.63 % (3812018)Time elapsed: 0.062 s
% 7.71/1.63 % (3812018)Peak memory usage: 13 MB
% 7.71/1.63 % (3812018)Instructions burned: 103 (million)
% 7.71/1.63 % (3812019)Instruction limit reached!
% 7.71/1.63 % (3812019)------------------------------
% 7.71/1.63 % (3812019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.63 % (3812019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.63 % (3812019)CaDiCaL version: 2.1.3
% 7.71/1.63 % (3812019)Termination reason: Instruction limit
% 7.71/1.63 % (3812019)Termination phase: Saturation
% 7.71/1.63 % (3812019)Time elapsed: 0.072 s
% 7.71/1.63 % (3812019)Peak memory usage: 13 MB
% 7.71/1.63 % (3812019)Instructions burned: 117 (million)
% 7.71/1.63 % (3812020)Instruction limit reached!
% 7.71/1.63 % (3812020)------------------------------
% 7.71/1.63 % (3812020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.63 % (3812020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.63 % (3812020)CaDiCaL version: 2.1.3
% 7.71/1.63 % (3812020)Termination reason: Instruction limit
% 7.71/1.63 % (3812020)Termination phase: Saturation
% 7.71/1.63 % (3812020)Time elapsed: 0.076 s
% 7.71/1.63 % (3812020)Peak memory usage: 14 MB
% 7.71/1.63 % (3812020)Instructions burned: 132 (million)
% 7.71/1.63 % (3812029)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1595131708:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.71/1.63 % (3812030)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=513293782:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.71/1.63 % TRYING [1]
% 7.71/1.63 % (3812031)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=667701261:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.71/1.63 % TRYING [2]
% 7.71/1.63 % TRYING [3]
% 7.71/1.63 % TRYING [6]
% 7.71/1.63 % (3812021)Instruction limit reached!
% 7.71/1.63 % (3812021)------------------------------
% 7.71/1.63 % (3812021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.63 % (3812021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.63 % (3812021)CaDiCaL version: 2.1.3
% 7.71/1.63 % (3812021)Termination reason: Instruction limit
% 7.71/1.63 % (3812021)Termination phase: Saturation
% 7.71/1.63 % (3812021)Time elapsed: 0.109 s
% 7.71/1.63 % (3812021)Peak memory usage: 14 MB
% 7.71/1.63 % (3812021)Instructions burned: 160 (million)
% 7.71/1.63 % TRYING [4]
% 7.71/1.63 % (3812035)ott-21_1_sil=16000:fs=off:random_seed=160794382:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.71/1.63 % (3812030)Instruction limit reached!
% 7.71/1.63 % (3812030)------------------------------
% 7.71/1.63 % (3812030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.63 % (3812030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.63 % (3812030)CaDiCaL version: 2.1.3
% 7.71/1.63 % (3812030)Termination reason: Instruction limit
% 7.71/1.63 % (3812030)Termination phase: Saturation
% 7.71/1.63 % (3812030)Time elapsed: 0.075 s
% 7.71/1.63 % (3812030)Peak memory usage: 13 MB
% 7.71/1.63 % (3812030)Instructions burned: 133 (million)
% 7.71/1.63 % TRYING [5]
% 7.71/1.63 % (3812037)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=415479781:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.71/1.63 % (3812035)Instruction limit reached!
% 7.71/1.63 % (3812035)------------------------------
% 7.71/1.63 % (3812035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.63 % (3812035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.63 % (3812035)CaDiCaL version: 2.1.3
% 7.71/1.63 % (3812035)Termination reason: Instruction limit
% 7.71/1.63 % (3812035)Termination phase: Saturation
% 7.71/1.63 % (3812035)Time elapsed: 0.092 s
% 7.71/1.63 % (3812035)Peak memory usage: 14 MB
% 7.71/1.63 % (3812035)Instructions burned: 181 (million)
% 7.71/1.63 % TRYING [7]
% 7.71/1.63 % (3812039)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1858939494:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.71/1.63 % TRYING [1]
% 7.71/1.63 % TRYING [2]
% 7.71/1.63 % TRYING [3]
% 7.71/1.63 % TRYING [4]
% 7.71/1.63 % TRYING [6]
% 7.71/1.63 % (3812029)Instruction limit reached!
% 7.71/1.63 % (3812029)------------------------------
% 7.71/1.63 % (3812029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.63 % (3812029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.63 % (3812029)CaDiCaL version: 2.1.3
% 7.71/1.63 % (3812029)Termination reason: Instruction limit
% 7.71/1.63 % (3812029)Termination phase: Finite model building constraint generation
% 7.71/1.63 % (3812029)Time elapsed: 0.296 s
% 7.71/1.63 % (3812029)Peak memory usage: 28 MB
% 7.71/1.63 % (3812029)Instructions burned: 714 (million)
% 7.71/1.63 % (3812041)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2587614452:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 7.71/1.63 % TRYING [5]
% 7.71/1.63 % (3812031)Instruction limit reached!
% 7.71/1.63 % (3812031)------------------------------
% 7.71/1.63 % (3812031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.63 % (3812031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.63 % (3812031)CaDiCaL version: 2.1.3
% 7.71/1.63 % (3812031)Termination reason: Instruction limit
% 7.71/1.63 % (3812031)Termination phase: Saturation
% 7.71/1.63 % (3812031)Time elapsed: 0.371 s
% 7.71/1.63 % (3812031)Peak memory usage: 22 MB
% 7.71/1.63 % (3812031)Instructions burned: 684 (million)
% 7.71/1.63 % (3812043)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2440928766:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 7.71/1.63 % (3812037)Instruction limit reached!
% 7.71/1.63 % (3812037)------------------------------
% 7.71/1.63 % (3812037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.63 % (3812037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.63 % (3812037)CaDiCaL version: 2.1.3
% 7.71/1.63 % (3812037)Termination reason: Instruction limit
% 7.71/1.63 % (3812037)Termination phase: Saturation
% 7.71/1.63 % (3812037)Time elapsed: 0.310 s
% 7.71/1.63 % (3812037)Peak memory usage: 14 MB
% 7.71/1.63 % (3812037)Instructions burned: 478 (million)
% 7.71/1.63 % (3812045)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=1296354160:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 7.71/1.63 % TRYING [8]
% 7.71/1.63 % TRYING [14]
% 7.71/1.63 % (3812039)Instruction limit reached!
% 7.71/1.63 % (3812039)------------------------------
% 7.71/1.63 % (3812039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.63 % (3812039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.63 % (3812039)CaDiCaL version: 2.1.3
% 7.71/1.63 % (3812039)Termination reason: Instruction limit
% 7.71/1.63 % (3812039)Termination phase: Finite model building SAT solving
% 7.71/1.63 % (3812039)Time elapsed: 0.353 s
% 7.71/1.63 % (3812039)Peak memory usage: 23 MB
% 7.71/1.63 % (3812039)Instructions burned: 866 (million)
% 7.71/1.63 % (3812047)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=650110923:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 7.71/1.63 % (3812043)Instruction limit reached!
% 7.71/1.63 % (3812043)------------------------------
% 7.71/1.63 % (3812043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.63 % (3812043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.63 % (3812043)CaDiCaL version: 2.1.3
% 7.71/1.63 % (3812043)Termination reason: Instruction limit
% 7.71/1.63 % (3812043)Termination phase: Finite model building constraint generation
% 7.71/1.63 % (3812043)Time elapsed: 0.320 s
% 7.71/1.63 % (3812043)Peak memory usage: 70 MB
% 7.71/1.63 % (3812043)Instructions burned: 889 (million)
% 7.71/1.63 % (3812049)fmb+10_1_sil=64000:random_seed=1344768462:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 7.71/1.63 % TRYING [1]
% 7.71/1.63 % TRYING [2]
% 7.71/1.63 % TRYING [3]
% 7.71/1.63 % (3812045)Instruction limit reached!
% 7.71/1.63 % (3812045)------------------------------
% 7.71/1.63 % (3812045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.63 % (3812045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.63 % (3812045)CaDiCaL version: 2.1.3
% 7.71/1.63 % (3812045)Termination reason: Instruction limit
% 7.71/1.63 % (3812045)Termination phase: Saturation
% 7.71/1.63 % (3812045)Time elapsed: 0.381 s
% 7.71/1.63 % (3812045)Peak memory usage: 21 MB
% 7.71/1.63 % (3812045)Instructions burned: 693 (million)
% 7.71/1.63 % TRYING [4]
% 7.71/1.63 % (3812051)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=915714968:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 7.71/1.63 % TRYING [20]
% 7.71/1.63 % TRYING [5]
% 7.71/1.63 % (3812041)Instruction limit reached!
% 7.71/1.63 % (3812041)------------------------------
% 7.71/1.63 % (3812041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.63 % (3812041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.63 % (3812041)CaDiCaL version: 2.1.3
% 7.71/1.63 % (3812041)Termination reason: Instruction limit
% 7.71/1.63 % (3812041)Termination phase: Saturation
% 7.71/1.63 % (3812041)Time elapsed: 0.643 s
% 7.71/1.63 % (3812041)Peak memory usage: 29 MB
% 7.71/1.63 % (3812041)Instructions burned: 1179 (million)
% 7.71/1.63 % (3812053)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2950851839:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 7.71/1.63 % TRYING [8]
% 7.71/1.63 % (3812047)Instruction limit reached!
% 7.71/1.63 % (3812047)------------------------------
% 7.71/1.63 % (3812047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.63 % (3812047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.63 % (3812047)CaDiCaL version: 2.1.3
% 7.71/1.63 % (3812047)Termination reason: Instruction limit
% 7.71/1.63 % (3812047)Termination phase: Saturation
% 7.71/1.63 % (3812047)Time elapsed: 0.483 s
% 7.71/1.63 % (3812047)Peak memory usage: 21 MB
% 7.71/1.63 % (3812047)Instructions burned: 880 (million)
% 7.71/1.63 % TRYING [9]
% 7.71/1.63 % (3812055)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4025027998:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 7.71/1.63 % (3812055) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3812010-3812055"...
% 7.71/1.63 % (3812055)...printing done.
% 7.71/1.63 % (3812055)Refutation found. Thanks to Tanya!
% 7.71/1.63 % SZS status Theorem for theBenchmark
% 7.71/1.63 % SZS output start Proof for theBenchmark
% See solution above
% 7.71/1.63 % (3812055)------------------------------
% 7.71/1.63 % (3812055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.71/1.63 % (3812055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.71/1.63 % (3812055)CaDiCaL version: 2.1.3
% 7.71/1.63 % (3812055)Termination reason: Refutation
% 7.71/1.63 % (3812055)Time elapsed: 0.053 s
% 7.71/1.63 % (3812055)Peak memory usage: 13 MB
% 7.71/1.63 % (3812055)Instructions burned: 96 (million)
% 7.71/1.63 % (3812010)Success in time 1.232 s
% 7.71/1.63 % Vampire exiting
%------------------------------------------------------------------------------