%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC177+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 : n009.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 01:04:58 PM UTC 2026
% Result : Theorem 7.57s 3.94s
% Output : Refutation 7.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 37
% Syntax : Number of formulae : 315 ( 33 unt; 15 def)
% Number of atoms : 1206 ( 148 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 1563 ( 672 ~; 768 |; 36 &)
% ( 33 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 16 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 229 ( 0 sgn 204 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax1) ).
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(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).
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(f20,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax20) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).
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(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(f41,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( frontsegP(X0,X1)
& frontsegP(X1,X0) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax41) ).
fof(f43,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X0,X1)
=> frontsegP(app(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax43) ).
fof(f44,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( X0 = X1
& frontsegP(X2,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax44) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax46) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(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 ) )
| neq(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 ) )
| neq(X4,X5) ) )
| ( ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X2
| ~ memberP(X3,X8) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f1]) ).
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(f101,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
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(f123,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f124,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| ~ ssList(X0) ),
inference(flattening,[],[f123]) ).
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(f131,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
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(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(f151,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X0,X1)
| ~ frontsegP(X1,X0)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X0,X1)
| ~ frontsegP(X1,X0)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f151]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( X0 = X1
& frontsegP(X2,X3) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f158,plain,
! [X0] :
( ( frontsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f176,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ssItem(X5)
& ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& ssList(X7) )
& ssList(X6) )
& ~ neq(X4,X5) )
& ssItem(X4) )
& ( ? [X8] :
( ssItem(X8)
& cons(X8,nil) = X2
& memberP(X3,X8) )
| ( nil = X3
& nil = X2 ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssItem(X1)
| X0 = X1
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f227,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(f236,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X2) != X0
| ~ ssList(X2)
| frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f240,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(f304,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f305,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f306,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) != X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f309,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK44(X0),sK43(X0)) = X0
| nil = X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f310,plain,
! [X0] :
( ssItem(sK44(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f311,plain,
! [X0] :
( ssList(sK43(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f315,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f316,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f317,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f319,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f331,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X1,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f332,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(f335,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f338,plain,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f152]) ).
fof(f340,plain,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f341,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X2),cons(X1,X3))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| frontsegP(X2,X3)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f342,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X2),cons(X1,X3))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| X0 = X1
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f346,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f360,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f391,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f410,plain,
ssList(sK55),
inference(cnf_transformation,[],[f221]) ).
fof(f411,plain,
sK47 = app(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)),sK55),
inference(cnf_transformation,[],[f221]) ).
fof(f412,plain,
ssList(sK54),
inference(cnf_transformation,[],[f221]) ).
fof(f413,plain,
~ neq(sK51,sK53),
inference(cnf_transformation,[],[f221]) ).
fof(f414,plain,
ssItem(sK53),
inference(cnf_transformation,[],[f221]) ).
fof(f416,plain,
( nil = sK50
| sK49 = cons(sK52,nil) ),
inference(cnf_transformation,[],[f221]) ).
fof(f418,plain,
( nil = sK49
| memberP(sK50,sK52) ),
inference(cnf_transformation,[],[f221]) ).
fof(f420,plain,
( nil = sK49
| ssItem(sK52) ),
inference(cnf_transformation,[],[f221]) ).
fof(f421,plain,
ssItem(sK51),
inference(cnf_transformation,[],[f221]) ).
fof(f422,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f221]) ).
fof(f425,plain,
ssList(sK49),
inference(cnf_transformation,[],[f221]) ).
fof(f430,plain,
sK49 = app(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)),sK55),
inference(definition_unfolding,[],[f411,f422]) ).
fof(f432,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,[],[f227]) ).
fof(f434,plain,
! [X2,X1] :
( ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X1,X2),X1) ),
inference(equality_resolution,[],[f236]) ).
fof(f436,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,[],[f240]) ).
fof(f464,definition,
( spl56_1
<=> ssItem(sK52) ),
introduced(definition,[new_symbols(definition,[spl56_1])],[avatar_definition]) ).
fof(f466,plain,
( ssItem(sK52)
| ~ spl56_1 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f468,definition,
( spl56_2
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl56_2])],[avatar_definition]) ).
fof(f469,plain,
( nil != sK50
| spl56_2 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f470,plain,
( nil = sK50
| ~ spl56_2 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f474,definition,
( spl56_3
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl56_3])],[avatar_definition]) ).
fof(f476,plain,
( nil = sK49
| ~ spl56_3 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f477,plain,
( spl56_1
| spl56_3 ),
inference(avatar_split_clause,[],[f420,f474,f464]) ).
fof(f478,plain,
( memberP(nil,sK52)
| nil = sK49
| ~ spl56_2 ),
inference(forward_demodulation,[],[f418,f470]) ).
fof(f480,definition,
( spl56_4
<=> memberP(nil,sK52) ),
introduced(definition,[new_symbols(definition,[spl56_4])],[avatar_definition]) ).
fof(f482,plain,
( memberP(nil,sK52)
| ~ spl56_4 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f483,plain,
( spl56_3
| spl56_4
| ~ spl56_2 ),
inference(avatar_split_clause,[],[f478,f468,f480,f474]) ).
fof(f484,plain,
( ssList(nil)
| ~ spl56_3 ),
inference(superposition,[],[f425,f476]) ).
fof(f485,plain,
( nil = app(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)),sK55)
| ~ spl56_3 ),
inference(forward_demodulation,[],[f430,f476]) ).
fof(f507,plain,
sK49 = app(nil,sK49),
inference(resolution,[],[f319,f425]) ).
fof(f614,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK51,X0) != X0 ),
inference(resolution,[],[f306,f421]) ).
fof(f615,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sK52,X0) != X0 )
| ~ spl56_1 ),
inference(resolution,[],[f306,f466]) ).
fof(f643,plain,
sK49 != cons(sK51,sK49),
inference(resolution,[],[f614,f425]) ).
fof(f648,plain,
( nil != cons(sK51,nil)
| ~ spl56_3 ),
inference(forward_demodulation,[],[f643,f476]) ).
fof(f649,plain,
( ~ ssItem(sK53)
| sK51 = sK53
| ~ ssItem(sK51) ),
inference(resolution,[],[f222,f413]) ).
fof(f654,plain,
( sK51 = sK53
| ~ ssItem(sK51) ),
inference(forward_subsumption_resolution,[],[f649,f414]) ).
fof(f655,plain,
sK51 = sK53,
inference(forward_subsumption_resolution,[],[f654,f421]) ).
fof(f760,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| tl(cons(sK44(X0),X1)) = X1
| nil = X0 ),
inference(resolution,[],[f316,f310]) ).
fof(f796,plain,
( sK49 != cons(sK52,sK49)
| ~ spl56_1 ),
inference(resolution,[],[f615,f425]) ).
fof(f1045,plain,
( sK54 = cons(sK44(sK54),sK43(sK54))
| nil = sK54 ),
inference(resolution,[],[f309,f412]) ).
fof(f1224,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK51,X0) = app(cons(sK51,nil),X0) ),
inference(resolution,[],[f391,f421]) ).
fof(f1291,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f434,f317]) ).
fof(f1294,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(app(X1,X0))
| ~ ssList(X1)
| app(X1,X0) = X1 ),
inference(resolution,[],[f1291,f338]) ).
fof(f1302,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(app(X1,X0))
| app(X1,X0) = X1 ),
inference(duplicate_literal_removal,[],[f1294]) ).
fof(f1305,plain,
! [X0,X1] :
( ~ frontsegP(X1,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,X0) = X1 ),
inference(forward_subsumption_resolution,[],[f1302,f317]) ).
fof(f1338,definition,
( spl56_6
<=> nil = sK54 ),
introduced(definition,[new_symbols(definition,[spl56_6])],[avatar_definition]) ).
fof(f1339,plain,
( nil != sK54
| spl56_6 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f1340,plain,
( nil = sK54
| ~ spl56_6 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f2442,plain,
( segmentP(nil,cons(sK53,nil))
| ~ ssList(cons(sK53,nil))
| ~ ssList(sK55)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(nil)
| ~ spl56_3 ),
inference(superposition,[],[f436,f485]) ).
fof(f2447,plain,
( segmentP(nil,cons(sK53,nil))
| ~ ssList(cons(sK53,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(nil)
| ~ spl56_3 ),
inference(forward_subsumption_resolution,[],[f2442,f410]) ).
fof(f2451,plain,
( segmentP(nil,cons(sK53,nil))
| ~ ssList(cons(sK53,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_3 ),
inference(forward_subsumption_resolution,[],[f2447,f484]) ).
fof(f2455,plain,
( segmentP(nil,cons(sK51,nil))
| ~ ssList(cons(sK53,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_3 ),
inference(forward_demodulation,[],[f2451,f655]) ).
fof(f2458,plain,
( ~ ssList(cons(sK51,nil))
| segmentP(nil,cons(sK51,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_3 ),
inference(forward_demodulation,[],[f2455,f655]) ).
fof(f2610,plain,
cons(sK51,sK49) = app(cons(sK51,nil),sK49),
inference(resolution,[],[f1224,f425]) ).
fof(f3367,definition,
( spl56_15
<=> segmentP(nil,cons(sK51,nil)) ),
introduced(definition,[new_symbols(definition,[spl56_15])],[avatar_definition]) ).
fof(f3368,plain,
( ~ segmentP(nil,cons(sK51,nil))
| spl56_15 ),
inference(avatar_component_clause,[],[f3367]) ).
fof(f3369,plain,
( segmentP(nil,cons(sK51,nil))
| ~ spl56_15 ),
inference(avatar_component_clause,[],[f3367]) ).
fof(f3371,definition,
( spl56_16
<=> ssList(cons(sK51,nil)) ),
introduced(definition,[new_symbols(definition,[spl56_16])],[avatar_definition]) ).
fof(f3372,plain,
( ssList(cons(sK51,nil))
| ~ spl56_16 ),
inference(avatar_component_clause,[],[f3371]) ).
fof(f3373,plain,
( ~ ssList(cons(sK51,nil))
| spl56_16 ),
inference(avatar_component_clause,[],[f3371]) ).
fof(f3379,plain,
( ~ ssItem(sK51)
| ~ ssList(nil)
| spl56_16 ),
inference(resolution,[],[f3373,f304]) ).
fof(f3380,plain,
( ~ ssList(nil)
| spl56_16 ),
inference(forward_subsumption_resolution,[],[f3379,f421]) ).
fof(f3449,plain,
( nil = cons(sK51,nil)
| ~ ssList(cons(sK51,nil))
| ~ spl56_15 ),
inference(resolution,[],[f3369,f360]) ).
fof(f3452,plain,
( ~ ssList(cons(sK51,nil))
| ~ spl56_3
| ~ spl56_15 ),
inference(forward_subsumption_resolution,[],[f3449,f648]) ).
fof(f3454,plain,
( $false
| ~ spl56_3
| ~ spl56_15
| ~ spl56_16 ),
inference(forward_subsumption_resolution,[],[f3452,f3372]) ).
fof(f3455,plain,
( ~ spl56_3
| ~ spl56_15
| ~ spl56_16 ),
inference(avatar_contradiction_clause,[],[f3454]) ).
fof(f3473,plain,
( segmentP(nil,cons(sK51,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_3
| ~ spl56_16 ),
inference(forward_subsumption_resolution,[],[f2458,f3372]) ).
fof(f3614,plain,
( ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_3
| spl56_15
| ~ spl56_16 ),
inference(forward_subsumption_resolution,[],[f3473,f3368]) ).
fof(f3615,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(sK54)
| ~ spl56_3
| spl56_15
| ~ spl56_16 ),
inference(resolution,[],[f3614,f317]) ).
fof(f3616,plain,
( ~ ssList(sK54)
| ~ spl56_3
| spl56_15
| ~ spl56_16 ),
inference(forward_subsumption_resolution,[],[f3615,f3372]) ).
fof(f3617,plain,
( $false
| ~ spl56_3
| spl56_15
| ~ spl56_16 ),
inference(forward_subsumption_resolution,[],[f3616,f412]) ).
fof(f3618,plain,
( ~ spl56_3
| spl56_15
| ~ spl56_16 ),
inference(avatar_contradiction_clause,[],[f3617]) ).
fof(f3668,plain,
( ~ ssItem(sK52)
| ~ spl56_4 ),
inference(resolution,[],[f482,f335]) ).
fof(f3671,plain,
( $false
| ~ spl56_1
| ~ spl56_4 ),
inference(forward_subsumption_resolution,[],[f3668,f466]) ).
fof(f3672,plain,
( ~ spl56_1
| ~ spl56_4 ),
inference(avatar_contradiction_clause,[],[f3671]) ).
fof(f3768,plain,
( sK49 = cons(sK52,nil)
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f416,f469]) ).
fof(f3783,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssItem(sK52)
| ~ ssList(nil)
| memberP(nil,X0)
| sK52 = X0
| ~ ssItem(X0) )
| spl56_2 ),
inference(superposition,[],[f332,f3768]) ).
fof(f3786,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| frontsegP(nil,X1)
| ~ ssItem(sK52) )
| spl56_2 ),
inference(superposition,[],[f341,f3768]) ).
fof(f3788,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| sK52 = X0
| ~ ssItem(sK52) )
| spl56_2 ),
inference(superposition,[],[f342,f3768]) ).
fof(f3826,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssList(nil)
| memberP(nil,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f3783,f466]) ).
fof(f4202,definition,
( spl56_18
<=> ssList(app(sK54,cons(sK51,nil))) ),
introduced(definition,[new_symbols(definition,[spl56_18])],[avatar_definition]) ).
fof(f4203,plain,
( ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_18 ),
inference(avatar_component_clause,[],[f4202]) ).
fof(f4204,plain,
( ~ ssList(app(sK54,cons(sK51,nil)))
| spl56_18 ),
inference(avatar_component_clause,[],[f4202]) ).
fof(f4210,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(sK54)
| spl56_18 ),
inference(resolution,[],[f4204,f317]) ).
fof(f4211,plain,
( ~ ssList(sK54)
| ~ spl56_16
| spl56_18 ),
inference(forward_subsumption_resolution,[],[f4210,f3372]) ).
fof(f4212,plain,
( $false
| ~ spl56_16
| spl56_18 ),
inference(forward_subsumption_resolution,[],[f4211,f412]) ).
fof(f4213,plain,
( ~ spl56_16
| spl56_18 ),
inference(avatar_contradiction_clause,[],[f4212]) ).
fof(f4751,definition,
( spl56_20
<=> ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil))) ),
introduced(definition,[new_symbols(definition,[spl56_20])],[avatar_definition]) ).
fof(f4752,plain,
( ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl56_20 ),
inference(avatar_component_clause,[],[f4751]) ).
fof(f4753,plain,
( ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| spl56_20 ),
inference(avatar_component_clause,[],[f4751]) ).
fof(f4760,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| spl56_20 ),
inference(resolution,[],[f4753,f317]) ).
fof(f4761,plain,
( ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_16
| spl56_20 ),
inference(forward_subsumption_resolution,[],[f4760,f3372]) ).
fof(f4762,plain,
( $false
| ~ spl56_16
| ~ spl56_18
| spl56_20 ),
inference(forward_subsumption_resolution,[],[f4761,f4203]) ).
fof(f4763,plain,
( ~ spl56_16
| ~ spl56_18
| spl56_20 ),
inference(avatar_contradiction_clause,[],[f4762]) ).
fof(f12325,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(sK44(sK54),X0)) = X0
| nil = sK54 ),
inference(resolution,[],[f760,f412]) ).
fof(f13693,plain,
sK49 = app(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)),sK55),
inference(forward_demodulation,[],[f430,f655]) ).
fof(f13703,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| sK52 = X0 )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f3788,f466]) ).
fof(f13704,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| frontsegP(nil,X1) )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f3786,f466]) ).
fof(f13707,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssList(nil)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f3826,f335]) ).
fof(f13758,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ ssList(sK55)
| ~ memberP(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)),X0)
| ~ ssItem(X0) ),
inference(superposition,[],[f331,f13693]) ).
fof(f13759,plain,
! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ ssList(sK55)
| ~ frontsegP(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)),X0)
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil))) ),
inference(superposition,[],[f340,f13693]) ).
fof(f13770,plain,
( frontsegP(sK49,app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ ssList(sK55)
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil))) ),
inference(superposition,[],[f1291,f13693]) ).
fof(f13780,plain,
( frontsegP(sK49,app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil))) ),
inference(forward_subsumption_resolution,[],[f13770,f410]) ).
fof(f13789,plain,
! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ frontsegP(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)),X0)
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil))) ),
inference(forward_subsumption_resolution,[],[f13759,f410]) ).
fof(f13790,plain,
( ! [X0] :
( memberP(sK49,X0)
| ~ ssList(sK55)
| ~ memberP(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)),X0)
| ~ ssItem(X0) )
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f13758,f4752]) ).
fof(f13797,plain,
( frontsegP(sK49,app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f13780,f4752]) ).
fof(f13806,plain,
( ! [X0] :
( ~ frontsegP(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)),X0)
| ~ ssList(X0)
| frontsegP(sK49,X0) )
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f13789,f4752]) ).
fof(f13807,plain,
( ! [X0] :
( ~ memberP(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)),X0)
| memberP(sK49,X0)
| ~ ssItem(X0) )
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f13790,f410]) ).
fof(f14472,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f13707,f305]) ).
fof(f14999,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| sK52 = X0 )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f13703,f305]) ).
fof(f15016,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| frontsegP(nil,X1) )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f13704,f305]) ).
fof(f15378,plain,
( ~ ssList(app(sK54,cons(sK51,nil)))
| frontsegP(sK49,app(sK54,cons(sK51,nil)))
| ~ ssList(cons(sK51,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_20 ),
inference(resolution,[],[f13806,f1291]) ).
fof(f15379,plain,
( ! [X0] :
( ~ ssList(X0)
| frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ ssList(cons(sK51,nil))
| ~ frontsegP(app(sK54,cons(sK51,nil)),X0)
| ~ ssList(app(sK54,cons(sK51,nil))) )
| ~ spl56_20 ),
inference(resolution,[],[f13806,f340]) ).
fof(f15385,plain,
( ! [X0] :
( ~ ssList(X0)
| frontsegP(sK49,X0)
| ~ ssList(cons(sK51,nil))
| ~ frontsegP(app(sK54,cons(sK51,nil)),X0)
| ~ ssList(app(sK54,cons(sK51,nil))) )
| ~ spl56_20 ),
inference(duplicate_literal_removal,[],[f15379]) ).
fof(f15386,plain,
( ~ ssList(app(sK54,cons(sK51,nil)))
| frontsegP(sK49,app(sK54,cons(sK51,nil)))
| ~ ssList(cons(sK51,nil))
| ~ spl56_20 ),
inference(duplicate_literal_removal,[],[f15378]) ).
fof(f15389,plain,
( ! [X0] :
( ~ ssList(X0)
| frontsegP(sK49,X0)
| ~ frontsegP(app(sK54,cons(sK51,nil)),X0)
| ~ ssList(app(sK54,cons(sK51,nil))) )
| ~ spl56_16
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f15385,f3372]) ).
fof(f15390,plain,
( frontsegP(sK49,app(sK54,cons(sK51,nil)))
| ~ ssList(cons(sK51,nil))
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f15386,f4203]) ).
fof(f15392,plain,
( ! [X0] :
( ~ ssList(X0)
| frontsegP(sK49,X0)
| ~ frontsegP(app(sK54,cons(sK51,nil)),X0) )
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f15389,f4203]) ).
fof(f15401,plain,
( memberP(sK49,sK51)
| ~ ssItem(sK51)
| ~ ssItem(sK51)
| ~ ssList(nil)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl56_20 ),
inference(resolution,[],[f13807,f432]) ).
fof(f15402,plain,
( memberP(sK49,sK51)
| ~ ssItem(sK51)
| ~ ssList(nil)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl56_20 ),
inference(duplicate_literal_removal,[],[f15401]) ).
fof(f15405,plain,
( memberP(sK49,sK51)
| ~ ssList(nil)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f15402,f421]) ).
fof(f15408,plain,
( memberP(sK49,sK51)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f15405,f305]) ).
fof(f15411,plain,
( memberP(sK49,sK51)
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f15408,f4203]) ).
fof(f15412,plain,
( memberP(sK49,sK51)
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f15411,f4752]) ).
fof(f15413,plain,
( sK51 = sK52
| ~ ssItem(sK51)
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(resolution,[],[f15412,f14472]) ).
fof(f15416,plain,
( sK51 = sK52
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f15413,f421]) ).
fof(f29383,plain,
( cons(sK52,sK49) = app(cons(sK52,nil),sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f2610,f15416]) ).
fof(f29384,plain,
( cons(sK52,sK49) = app(sK49,sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f29383,f3768]) ).
fof(f29596,plain,
( ~ frontsegP(sK49,cons(sK52,sK49))
| ~ ssList(sK49)
| ~ ssList(sK49)
| sK49 = cons(sK52,sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(superposition,[],[f1305,f29384]) ).
fof(f29605,plain,
( ~ frontsegP(sK49,cons(sK52,sK49))
| ~ ssList(sK49)
| sK49 = cons(sK52,sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(duplicate_literal_removal,[],[f29596]) ).
fof(f29626,plain,
( ~ frontsegP(sK49,cons(sK52,sK49))
| sK49 = cons(sK52,sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f29605,f425]) ).
fof(f29652,plain,
( ~ frontsegP(sK49,cons(sK52,sK49))
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f29626,f796]) ).
fof(f63165,definition,
( spl56_51
<=> ssItem(sK44(sK54)) ),
introduced(definition,[new_symbols(definition,[spl56_51])],[avatar_definition]) ).
fof(f63166,plain,
( ssItem(sK44(sK54))
| ~ spl56_51 ),
inference(avatar_component_clause,[],[f63165]) ).
fof(f63167,plain,
( ~ ssItem(sK44(sK54))
| spl56_51 ),
inference(avatar_component_clause,[],[f63165]) ).
fof(f63169,definition,
( spl56_52
<=> ssList(sK43(sK54)) ),
introduced(definition,[new_symbols(definition,[spl56_52])],[avatar_definition]) ).
fof(f63170,plain,
( ssList(sK43(sK54))
| ~ spl56_52 ),
inference(avatar_component_clause,[],[f63169]) ).
fof(f63171,plain,
( ~ ssList(sK43(sK54))
| spl56_52 ),
inference(avatar_component_clause,[],[f63169]) ).
fof(f63177,plain,
( ~ ssList(sK54)
| nil = sK54
| spl56_51 ),
inference(resolution,[],[f63167,f310]) ).
fof(f63178,plain,
( nil = sK54
| spl56_51 ),
inference(forward_subsumption_resolution,[],[f63177,f412]) ).
fof(f63179,plain,
( $false
| spl56_6
| spl56_51 ),
inference(forward_subsumption_resolution,[],[f63178,f1339]) ).
fof(f63180,plain,
( spl56_6
| spl56_51 ),
inference(avatar_contradiction_clause,[],[f63179]) ).
fof(f63439,plain,
( frontsegP(sK49,app(app(nil,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl56_6
| ~ spl56_20 ),
inference(superposition,[],[f13797,f1340]) ).
fof(f63530,plain,
( frontsegP(sK49,app(app(nil,cons(sK52,nil)),cons(sK52,nil)))
| ~ spl56_1
| spl56_2
| ~ spl56_6
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f63439,f15416]) ).
fof(f63544,plain,
( frontsegP(sK49,app(app(nil,sK49),sK49))
| ~ spl56_1
| spl56_2
| ~ spl56_6
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f63530,f3768]) ).
fof(f63552,plain,
( frontsegP(sK49,app(sK49,sK49))
| ~ spl56_1
| spl56_2
| ~ spl56_6
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f63544,f507]) ).
fof(f63558,plain,
( frontsegP(sK49,cons(sK52,sK49))
| ~ spl56_1
| spl56_2
| ~ spl56_6
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f63552,f29384]) ).
fof(f63561,plain,
( $false
| ~ spl56_1
| spl56_2
| ~ spl56_6
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f63558,f29652]) ).
fof(f63562,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_6
| ~ spl56_18
| ~ spl56_20 ),
inference(avatar_contradiction_clause,[],[f63561]) ).
fof(f63563,plain,
( sK54 = cons(sK44(sK54),sK43(sK54))
| spl56_6 ),
inference(forward_subsumption_resolution,[],[f1045,f1339]) ).
fof(f63684,plain,
( ~ frontsegP(sK49,sK54)
| ~ ssItem(sK44(sK54))
| ~ ssList(sK43(sK54))
| sK52 = sK44(sK54)
| ~ spl56_1
| spl56_2
| spl56_6 ),
inference(superposition,[],[f14999,f63563]) ).
fof(f63685,plain,
( ~ frontsegP(sK49,sK54)
| ~ ssItem(sK44(sK54))
| ~ ssList(sK43(sK54))
| frontsegP(nil,sK43(sK54))
| ~ spl56_1
| spl56_2
| spl56_6 ),
inference(superposition,[],[f15016,f63563]) ).
fof(f63706,plain,
( ~ frontsegP(sK49,sK54)
| ~ ssList(sK43(sK54))
| frontsegP(nil,sK43(sK54))
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51 ),
inference(forward_subsumption_resolution,[],[f63685,f63166]) ).
fof(f63707,plain,
( ~ frontsegP(sK49,sK54)
| ~ ssList(sK43(sK54))
| sK52 = sK44(sK54)
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51 ),
inference(forward_subsumption_resolution,[],[f63684,f63166]) ).
fof(f63766,plain,
( ~ ssList(sK54)
| nil = sK54
| spl56_52 ),
inference(resolution,[],[f63171,f311]) ).
fof(f63767,plain,
( nil = sK54
| spl56_52 ),
inference(forward_subsumption_resolution,[],[f63766,f412]) ).
fof(f63768,plain,
( $false
| spl56_6
| spl56_52 ),
inference(forward_subsumption_resolution,[],[f63767,f1339]) ).
fof(f63769,plain,
( spl56_6
| spl56_52 ),
inference(avatar_contradiction_clause,[],[f63768]) ).
fof(f67875,plain,
( ~ frontsegP(sK49,sK54)
| frontsegP(nil,sK43(sK54))
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52 ),
inference(forward_subsumption_resolution,[],[f63706,f63170]) ).
fof(f67877,definition,
( spl56_66
<=> frontsegP(nil,sK43(sK54)) ),
introduced(definition,[new_symbols(definition,[spl56_66])],[avatar_definition]) ).
fof(f67879,plain,
( frontsegP(nil,sK43(sK54))
| ~ spl56_66 ),
inference(avatar_component_clause,[],[f67877]) ).
fof(f67881,definition,
( spl56_67
<=> frontsegP(sK49,sK54) ),
introduced(definition,[new_symbols(definition,[spl56_67])],[avatar_definition]) ).
fof(f67882,plain,
( frontsegP(sK49,sK54)
| ~ spl56_67 ),
inference(avatar_component_clause,[],[f67881]) ).
fof(f67883,plain,
( ~ frontsegP(sK49,sK54)
| spl56_67 ),
inference(avatar_component_clause,[],[f67881]) ).
fof(f67884,plain,
( spl56_66
| ~ spl56_67
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52 ),
inference(avatar_split_clause,[],[f67875,f63169,f63165,f1338,f468,f464,f67881,f67877]) ).
fof(f67902,definition,
( spl56_69
<=> sK49 = sK54 ),
introduced(definition,[new_symbols(definition,[spl56_69])],[avatar_definition]) ).
fof(f67903,plain,
( sK49 = sK54
| ~ spl56_69 ),
inference(avatar_component_clause,[],[f67902]) ).
fof(f67904,plain,
( sK49 != sK54
| spl56_69 ),
inference(avatar_component_clause,[],[f67902]) ).
fof(f67911,definition,
( spl56_71
<=> ssList(tl(sK54)) ),
introduced(definition,[new_symbols(definition,[spl56_71])],[avatar_definition]) ).
fof(f67912,plain,
( ssList(tl(sK54))
| ~ spl56_71 ),
inference(avatar_component_clause,[],[f67911]) ).
fof(f67913,plain,
( ~ ssList(tl(sK54))
| spl56_71 ),
inference(avatar_component_clause,[],[f67911]) ).
fof(f67991,plain,
( nil = sK54
| ~ ssList(sK54)
| spl56_71 ),
inference(resolution,[],[f67913,f315]) ).
fof(f67992,plain,
( ~ ssList(sK54)
| spl56_6
| spl56_71 ),
inference(forward_subsumption_resolution,[],[f67991,f1339]) ).
fof(f67993,plain,
( $false
| spl56_6
| spl56_71 ),
inference(forward_subsumption_resolution,[],[f67992,f412]) ).
fof(f67994,plain,
( spl56_6
| spl56_71 ),
inference(avatar_contradiction_clause,[],[f67993]) ).
fof(f84339,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sK44(sK54),X0)) = X0 )
| spl56_6 ),
inference(forward_subsumption_resolution,[],[f12325,f1339]) ).
fof(f84405,plain,
( sK43(sK54) = tl(cons(sK44(sK54),sK43(sK54)))
| spl56_6
| ~ spl56_52 ),
inference(resolution,[],[f84339,f63170]) ).
fof(f84413,plain,
( tl(sK54) = sK43(sK54)
| spl56_6
| ~ spl56_52 ),
inference(forward_demodulation,[],[f84405,f63563]) ).
fof(f84435,plain,
( sK54 = cons(sK44(sK54),tl(sK54))
| spl56_6
| ~ spl56_52 ),
inference(superposition,[],[f63563,f84413]) ).
fof(f85543,plain,
( ! [X0] :
( ~ frontsegP(app(sK54,cons(sK52,nil)),X0)
| ~ ssList(X0)
| frontsegP(sK49,X0) )
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f15392,f15416]) ).
fof(f85544,plain,
( ! [X0] :
( ~ frontsegP(app(sK54,sK49),X0)
| ~ ssList(X0)
| frontsegP(sK49,X0) )
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f85543,f3768]) ).
fof(f85545,plain,
( ~ ssList(sK54)
| frontsegP(sK49,sK54)
| ~ ssList(sK49)
| ~ ssList(sK54)
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20 ),
inference(resolution,[],[f85544,f1291]) ).
fof(f85555,plain,
( ~ ssList(sK54)
| frontsegP(sK49,sK54)
| ~ ssList(sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20 ),
inference(duplicate_literal_removal,[],[f85545]) ).
fof(f85559,plain,
( frontsegP(sK49,sK54)
| ~ ssList(sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f85555,f412]) ).
fof(f85561,plain,
( ~ ssList(sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20
| spl56_67 ),
inference(forward_subsumption_resolution,[],[f85559,f67883]) ).
fof(f85562,plain,
( $false
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20
| spl56_67 ),
inference(forward_subsumption_resolution,[],[f85561,f425]) ).
fof(f85563,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20
| spl56_67 ),
inference(avatar_contradiction_clause,[],[f85562]) ).
fof(f85564,plain,
( frontsegP(nil,tl(sK54))
| spl56_6
| ~ spl56_52
| ~ spl56_66 ),
inference(forward_demodulation,[],[f67879,f84413]) ).
fof(f85565,plain,
( ~ frontsegP(sK49,sK54)
| sK52 = sK44(sK54)
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52 ),
inference(forward_subsumption_resolution,[],[f63707,f63170]) ).
fof(f85640,plain,
( nil = tl(sK54)
| ~ ssList(tl(sK54))
| spl56_6
| ~ spl56_52
| ~ spl56_66 ),
inference(resolution,[],[f85564,f346]) ).
fof(f85689,plain,
( nil = tl(sK54)
| spl56_6
| ~ spl56_52
| ~ spl56_66
| ~ spl56_71 ),
inference(forward_subsumption_resolution,[],[f85640,f67912]) ).
fof(f85715,plain,
( sK52 = sK44(sK54)
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52
| ~ spl56_67 ),
inference(forward_subsumption_resolution,[],[f85565,f67882]) ).
fof(f85895,plain,
( sK54 = cons(sK44(sK54),nil)
| spl56_6
| ~ spl56_52
| ~ spl56_66
| ~ spl56_71 ),
inference(superposition,[],[f84435,f85689]) ).
fof(f85904,plain,
( sK54 = cons(sK52,nil)
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52
| ~ spl56_66
| ~ spl56_67
| ~ spl56_71 ),
inference(forward_demodulation,[],[f85895,f85715]) ).
fof(f85913,plain,
( sK49 = sK54
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52
| ~ spl56_66
| ~ spl56_67
| ~ spl56_71 ),
inference(forward_demodulation,[],[f85904,f3768]) ).
fof(f85914,plain,
( $false
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52
| ~ spl56_66
| ~ spl56_67
| spl56_69
| ~ spl56_71 ),
inference(forward_subsumption_resolution,[],[f85913,f67904]) ).
fof(f85915,plain,
( ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52
| ~ spl56_66
| ~ spl56_67
| spl56_69
| ~ spl56_71 ),
inference(avatar_contradiction_clause,[],[f85914]) ).
fof(f86299,plain,
( $false
| spl56_16 ),
inference(forward_subsumption_resolution,[],[f3380,f305]) ).
fof(f86300,plain,
spl56_16,
inference(avatar_contradiction_clause,[],[f86299]) ).
fof(f86309,plain,
( frontsegP(sK49,app(sK54,cons(sK52,nil)))
| ~ ssList(cons(sK51,nil))
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f15390,f15416]) ).
fof(f86402,plain,
( frontsegP(sK49,app(sK54,sK49))
| ~ ssList(cons(sK51,nil))
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f86309,f3768]) ).
fof(f86479,plain,
( frontsegP(sK49,app(sK49,sK49))
| ~ ssList(cons(sK51,nil))
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_69 ),
inference(forward_demodulation,[],[f86402,f67903]) ).
fof(f86542,plain,
( frontsegP(sK49,cons(sK52,sK49))
| ~ ssList(cons(sK51,nil))
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_69 ),
inference(forward_demodulation,[],[f86479,f29384]) ).
fof(f86597,plain,
( ~ ssList(cons(sK51,nil))
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_69 ),
inference(forward_subsumption_resolution,[],[f86542,f29652]) ).
fof(f86649,plain,
( ~ ssList(cons(sK52,nil))
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_69 ),
inference(forward_demodulation,[],[f86597,f15416]) ).
fof(f86688,plain,
( ~ ssList(sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_69 ),
inference(forward_demodulation,[],[f86649,f3768]) ).
fof(f86711,plain,
( $false
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_69 ),
inference(forward_subsumption_resolution,[],[f86688,f425]) ).
fof(f86712,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_69 ),
inference(avatar_contradiction_clause,[],[f86711]) ).
cnf(s2,plain,
( spl56_1
| spl56_3 ),
inference(sat_conversion,[],[f477]) ).
cnf(s3,plain,
( ~ spl56_2
| spl56_3
| spl56_4 ),
inference(sat_conversion,[],[f483]) ).
cnf(s20,plain,
( ~ spl56_3
| ~ spl56_15
| ~ spl56_16 ),
inference(sat_conversion,[],[f3455]) ).
cnf(s21,plain,
( ~ spl56_3
| spl56_15
| ~ spl56_16 ),
inference(sat_conversion,[],[f3618]) ).
cnf(s22,plain,
( ~ spl56_1
| ~ spl56_4 ),
inference(sat_conversion,[],[f3672]) ).
cnf(s24,plain,
( ~ spl56_16
| spl56_18 ),
inference(sat_conversion,[],[f4213]) ).
cnf(s26,plain,
( ~ spl56_16
| ~ spl56_18
| spl56_20 ),
inference(sat_conversion,[],[f4763]) ).
cnf(s68,plain,
( spl56_6
| spl56_51 ),
inference(sat_conversion,[],[f63180]) ).
cnf(s70,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_6
| ~ spl56_18
| ~ spl56_20 ),
inference(sat_conversion,[],[f63562]) ).
cnf(s71,plain,
( spl56_6
| spl56_52 ),
inference(sat_conversion,[],[f63769]) ).
cnf(s83,plain,
( ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52
| spl56_66
| ~ spl56_67 ),
inference(sat_conversion,[],[f67884]) ).
cnf(s87,plain,
( spl56_6
| spl56_71 ),
inference(sat_conversion,[],[f67994]) ).
cnf(s110,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20
| spl56_67 ),
inference(sat_conversion,[],[f85563]) ).
cnf(s111,plain,
( ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52
| ~ spl56_66
| ~ spl56_67
| spl56_69
| ~ spl56_71 ),
inference(sat_conversion,[],[f85915]) ).
cnf(s114,plain,
spl56_16,
inference(sat_conversion,[],[f86300]) ).
cnf(s116,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_69 ),
inference(sat_conversion,[],[f86712]) ).
cnf(s118,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| spl56_67 ),
inference(rat,[],[s110,s114]) ).
cnf(s134,plain,
( ~ spl56_18
| spl56_20 ),
inference(rat,[],[s26,s114]) ).
cnf(s135,plain,
spl56_18,
inference(rat,[],[s24,s114]) ).
cnf(s136,plain,
spl56_20,
inference(rat,[],[s134,s135]) ).
cnf(s138,plain,
( ~ spl56_3
| spl56_15 ),
inference(rat,[],[s21,s114]) ).
cnf(s139,plain,
( ~ spl56_3
| ~ spl56_15 ),
inference(rat,[],[s20,s114]) ).
cnf(s144,plain,
~ spl56_3,
inference(rat,[],[s139,s138]) ).
cnf(s148,plain,
spl56_1,
inference(rat,[],[s2,s144]) ).
cnf(s150,plain,
~ spl56_4,
inference(rat,[],[s22,s148]) ).
cnf(s151,plain,
~ spl56_2,
inference(rat,[],[s3,s144,s150]) ).
cnf(s152,plain,
~ spl56_69,
inference(rat,[],[s116,s148,s136,s135,s151]) ).
cnf(s153,plain,
spl56_67,
inference(rat,[],[s118,s148,s136,s135,s151]) ).
cnf(s159,plain,
~ spl56_6,
inference(rat,[],[s70,s136,s135,s148,s151]) ).
cnf(s167,plain,
spl56_71,
inference(rat,[],[s87,s159]) ).
cnf(s169,plain,
spl56_52,
inference(rat,[],[s71,s159]) ).
cnf(s170,plain,
spl56_51,
inference(rat,[],[s68,s159]) ).
cnf(s176,plain,
~ spl56_66,
inference(rat,[],[s111,s167,s152,s153,s159,s169,s151,s148,s170]) ).
cnf(s177,plain,
$false,
inference(rat,[],[s83,s153,s159,s169,s151,s148,s176,s170]) ).
fof(f86731,plain,
$false,
inference(avatar_sat_refutation,[],[s177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC177+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n009.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 08:16:45 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.64/2.57 % (2882094)Will run a generic schedule for satisfiability detection.
% 14.64/2.57 % (2882099)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2291750436_2999 on theBenchmark for (2999ds/0Mi)
% 14.64/2.57 % (2882100)% WARNING: option uhcvi not known.
% 14.64/2.57 % (2882101)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3285016722:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.64/2.57 % (2882100)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2782013400:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.64/2.57 % (2882103)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1769094169:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.64/2.57 % (2882102)dis+10_1_sil=32000:sp=arity:random_seed=612046910:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.64/2.57 % TRYING [1]
% 14.64/2.57 % (2882105)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2452237768:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.64/2.57 % TRYING [2]
% 14.64/2.57 % (2882104)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1763674770:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.64/2.57 % TRYING [3]
% 14.64/2.57 % TRYING [4]
% 14.64/2.57 % TRYING [5]
% 14.64/2.57 % (2882102)Instruction limit reached!
% 14.64/2.57 % (2882102)------------------------------
% 14.64/2.57 % (2882102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/2.57 % (2882102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.57 % (2882102)CaDiCaL version: 2.1.3
% 14.64/2.57 % (2882102)Termination reason: Instruction limit
% 14.64/2.57 % (2882102)Termination phase: Saturation
% 14.64/2.57 % (2882102)Time elapsed: 0.061 s
% 14.64/2.57 % (2882102)Peak memory usage: 13 MB
% 14.64/2.57 % (2882102)Instructions burned: 104 (million)
% 14.64/2.57 % (2882103)Instruction limit reached!
% 14.64/2.57 % (2882103)------------------------------
% 14.64/2.57 % (2882103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/2.57 % (2882103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.57 % (2882103)CaDiCaL version: 2.1.3
% 14.64/2.57 % (2882103)Termination reason: Instruction limit
% 14.64/2.57 % (2882103)Termination phase: Saturation
% 14.64/2.57 % (2882103)Time elapsed: 0.068 s
% 14.64/2.57 % (2882103)Peak memory usage: 13 MB
% 14.64/2.57 % (2882103)Instructions burned: 116 (million)
% 14.64/2.57 % (2882104)Instruction limit reached!
% 14.64/2.57 % (2882104)------------------------------
% 14.64/2.57 % (2882104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/2.57 % (2882104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.57 % (2882104)CaDiCaL version: 2.1.3
% 14.64/2.57 % (2882104)Termination reason: Instruction limit
% 14.64/2.57 % (2882104)Termination phase: Saturation
% 14.64/2.57 % (2882104)Time elapsed: 0.077 s
% 14.64/2.57 % (2882104)Peak memory usage: 13 MB
% 14.64/2.57 % (2882104)Instructions burned: 132 (million)
% 14.64/2.57 % (2882113)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2951304308:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.64/2.57 % (2882105)Instruction limit reached!
% 14.64/2.57 % (2882105)------------------------------
% 14.64/2.57 % (2882105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.64/2.57 % (2882105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.64/2.57 % (2882105)CaDiCaL version: 2.1.3
% 14.64/2.57 % (2882105)Termination reason: Instruction limit
% 14.64/2.57 % (2882105)Termination phase: Saturation
% 14.64/2.57 % (2882105)Time elapsed: 0.087 s
% 14.64/2.57 % (2882105)Peak memory usage: 14 MB
% 14.64/2.57 % (2882105)Instructions burned: 159 (million)
% 14.64/2.57 % (2882114)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3328335376:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.64/2.57 % TRYING [1]
% 14.64/2.57 % TRYING [2]
% 14.64/2.57 % (2882115)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=3772614404:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.64/2.57 % TRYING [3]
% 14.64/2.57 % (2882117)ott-21_1_sil=16000:fs=off:random_seed=1732670486:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.64/2.57 % TRYING [6]
% 14.64/2.57 % TRYING [4]
% 14.64/2.57 % (2882114)Instruction limit reached!
% 14.64/2.57 % (2882114)------------------------------
% 14.64/2.57 % (2882114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.57/3.94 % (2882114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/3.94 % (2882114)CaDiCaL version: 2.1.3
% 7.57/3.94 % (2882114)Termination reason: Instruction limit
% 7.57/3.94 % (2882114)Termination phase: Saturation
% 7.57/3.94 % (2882114)Time elapsed: 0.074 s
% 7.57/3.94 % (2882114)Peak memory usage: 13 MB
% 7.57/3.94 % (2882114)Instructions burned: 133 (million)
% 7.57/3.94 % TRYING [5]
% 7.57/3.94 % (2882121)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3179771827:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.57/3.94 % (2882117)Instruction limit reached!
% 7.57/3.94 % (2882117)------------------------------
% 7.57/3.94 % (2882117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.57/3.94 % (2882117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/3.94 % (2882117)CaDiCaL version: 2.1.3
% 7.57/3.94 % (2882117)Termination reason: Instruction limit
% 7.57/3.94 % (2882117)Termination phase: Saturation
% 7.57/3.94 % (2882117)Time elapsed: 0.086 s
% 7.57/3.94 % (2882117)Peak memory usage: 13 MB
% 7.57/3.94 % (2882117)Instructions burned: 182 (million)
% 7.57/3.94 % (2882123)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2563146175:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.57/3.94 % TRYING [1]
% 7.57/3.94 % TRYING [2]
% 7.57/3.94 % TRYING [3]
% 7.57/3.94 % TRYING [7]
% 7.57/3.94 % TRYING [4]
% 7.57/3.94 % TRYING [6]
% 7.57/3.94 % (2882113)Instruction limit reached!
% 7.57/3.94 % (2882113)------------------------------
% 7.57/3.94 % (2882113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.57/3.94 % (2882113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/3.94 % (2882113)CaDiCaL version: 2.1.3
% 7.57/3.94 % (2882113)Termination reason: Instruction limit
% 7.57/3.94 % (2882113)Termination phase: Finite model building constraint generation
% 7.57/3.94 % (2882113)Time elapsed: 0.290 s
% 7.57/3.94 % (2882113)Peak memory usage: 28 MB
% 7.57/3.94 % (2882113)Instructions burned: 714 (million)
% 7.57/3.94 % TRYING [5]
% 7.57/3.94 % (2882125)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3663834437:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 7.57/3.94 % (2882115)Instruction limit reached!
% 7.57/3.94 % (2882115)------------------------------
% 7.57/3.94 % (2882115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.57/3.94 % (2882115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/3.94 % (2882115)CaDiCaL version: 2.1.3
% 7.57/3.94 % (2882115)Termination reason: Instruction limit
% 7.57/3.94 % (2882115)Termination phase: Saturation
% 7.57/3.94 % (2882115)Time elapsed: 0.369 s
% 7.57/3.94 % (2882115)Peak memory usage: 22 MB
% 7.57/3.94 % (2882115)Instructions burned: 684 (million)
% 7.57/3.94 % (2882127)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4093241721:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 7.57/3.94 % (2882121)Instruction limit reached!
% 7.57/3.94 % (2882121)------------------------------
% 7.57/3.94 % (2882121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.57/3.94 % (2882121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/3.94 % (2882121)CaDiCaL version: 2.1.3
% 7.57/3.94 % (2882121)Termination reason: Instruction limit
% 7.57/3.94 % (2882121)Termination phase: Saturation
% 7.57/3.94 % (2882121)Time elapsed: 0.337 s
% 7.57/3.94 % (2882121)Peak memory usage: 15 MB
% 7.57/3.94 % (2882121)Instructions burned: 477 (million)
% 7.57/3.94 % (2882129)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=4103310080: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)
% 7.57/3.94 % (2882123)Instruction limit reached!
% 7.57/3.94 % (2882123)------------------------------
% 7.57/3.94 % (2882123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.57/3.94 % (2882123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/3.94 % (2882123)CaDiCaL version: 2.1.3
% 7.57/3.94 % (2882123)Termination reason: Instruction limit
% 7.57/3.94 % (2882123)Termination phase: Finite model building SAT solving
% 7.57/3.94 % (2882123)Time elapsed: 0.352 s
% 7.57/3.94 % (2882123)Peak memory usage: 22 MB
% 7.57/3.94 % (2882123)Instructions burned: 868 (million)
% 7.57/3.94 % (2882131)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1894237643:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 7.57/3.94 % TRYING [14]
% 7.57/3.94 % TRYING [8]
% 7.57/3.94 % (2882127)Instruction limit reached!
% 7.57/3.94 % (2882127)------------------------------
% 7.57/3.94 % (2882127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.57/3.94 % (2882127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/3.94 % (2882127)CaDiCaL version: 2.1.3
% 7.57/3.94 % (2882127)Termination reason: Instruction limit
% 7.57/3.94 % (2882127)Termination phase: Finite model building constraint generation
% 7.57/3.94 % (2882127)Time elapsed: 0.320 s
% 7.57/3.94 % (2882127)Peak memory usage: 70 MB
% 7.57/3.94 % (2882127)Instructions burned: 892 (million)
% 7.57/3.94 % (2882133)fmb+10_1_sil=64000:random_seed=2108326724:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 7.57/3.94 % TRYING [1]
% 7.57/3.94 % TRYING [2]
% 7.57/3.94 % TRYING [3]
% 7.57/3.94 % (2882129)Instruction limit reached!
% 7.57/3.94 % (2882129)------------------------------
% 7.57/3.94 % (2882129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.57/3.94 % (2882129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/3.94 % (2882129)CaDiCaL version: 2.1.3
% 7.57/3.94 % (2882129)Termination reason: Instruction limit
% 7.57/3.94 % (2882129)Termination phase: Saturation
% 7.57/3.94 % (2882129)Time elapsed: 0.350 s
% 7.57/3.94 % (2882129)Peak memory usage: 23 MB
% 7.57/3.94 % (2882129)Instructions burned: 694 (million)
% 7.57/3.94 % TRYING [4]
% 7.57/3.94 % (2882135)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1133242211:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 7.57/3.94 % TRYING [20]
% 7.57/3.94 % TRYING [5]
% 7.57/3.94 % (2882125)Instruction limit reached!
% 7.57/3.94 % (2882125)------------------------------
% 7.57/3.94 % (2882125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.57/3.94 % (2882125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/3.94 % (2882125)CaDiCaL version: 2.1.3
% 7.57/3.94 % (2882125)Termination reason: Instruction limit
% 7.57/3.94 % (2882125)Termination phase: Saturation
% 7.57/3.94 % (2882125)Time elapsed: 0.649 s
% 7.57/3.94 % (2882125)Peak memory usage: 27 MB
% 7.57/3.94 % (2882125)Instructions burned: 1179 (million)
% 7.57/3.94 % (2882131)Instruction limit reached!
% 7.57/3.94 % (2882131)------------------------------
% 7.57/3.94 % (2882131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.57/3.94 % (2882131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/3.94 % (2882131)CaDiCaL version: 2.1.3
% 7.57/3.94 % (2882131)Termination reason: Instruction limit
% 7.57/3.94 % (2882131)Termination phase: Saturation
% 7.57/3.94 % (2882131)Time elapsed: 0.475 s
% 7.57/3.94 % (2882131)Peak memory usage: 21 MB
% 7.57/3.94 % (2882131)Instructions burned: 879 (million)
% 7.57/3.94 % (2882137)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2759984963:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 7.57/3.94 % TRYING [8]
% 7.57/3.94 % (2882139)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1508856909:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 7.57/3.94 % TRYING [6]
% 7.57/3.94 % TRYING [9]
% 7.57/3.94 % (2882137)Instruction limit reached!
% 7.57/3.94 % (2882137)------------------------------
% 7.57/3.94 % (2882137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.57/3.94 % (2882137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/3.94 % (2882137)CaDiCaL version: 2.1.3
% 7.57/3.94 % (2882137)Termination reason: Instruction limit
% 7.57/3.94 % (2882137)Termination phase: Finite model building constraint generation
% 7.57/3.94 % (2882137)Time elapsed: 0.338 s
% 7.57/3.94 % (2882137)Peak memory usage: 69 MB
% 7.57/3.94 % (2882137)Instructions burned: 920 (million)
% 7.57/3.94 % (2882141)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=938416414:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 7.57/3.94 % TRYING [7]
% 7.57/3.94 % (2882141)Instruction limit reached!
% 7.57/3.94 % (2882141)------------------------------
% 7.57/3.94 % (2882141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.57/3.94 % (2882141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/3.94 % (2882141)CaDiCaL version: 2.1.3
% 7.57/3.94 % (2882141)Termination reason: Instruction limit
% 7.57/3.94 % (2882141)Termination phase: Saturation
% 7.57/3.94 % (2882141)Time elapsed: 0.652 s
% 7.57/3.94 % (2882141)Peak memory usage: 23 MB
% 7.57/3.94 % (2882141)Instructions burned: 1472 (million)
% 7.57/3.94 % (2882143)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4125492645:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 7.57/3.94 % TRYING [77]
% 7.57/3.94 % TRYING [10]
% 7.57/3.94 % (2882139) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2882094-2882139"...
% 7.57/3.94 % (2882139)...printing done.
% 7.57/3.94 % (2882139)Refutation found. Thanks to Tanya!
% 7.57/3.94 % SZS status Theorem for theBenchmark
% 7.57/3.94 % SZS output start Proof for theBenchmark
% See solution above
% 7.57/3.95 % (2882139)------------------------------
% 7.57/3.95 % (2882139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.57/3.95 % (2882139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/3.95 % (2882139)CaDiCaL version: 2.1.3
% 7.57/3.95 % (2882139)Termination reason: Refutation
% 7.57/3.95 % (2882139)Time elapsed: 2.306 s
% 7.57/3.95 % (2882139)Peak memory usage: 48 MB
% 7.57/3.95 % (2882139)Instructions burned: 4270 (million)
% 7.57/3.95 % (2882094)Success in time 3.508 s
% 7.57/3.95 % Vampire exiting
%------------------------------------------------------------------------------