%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC171+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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:04:57 PM UTC 2026
% Result : Theorem 13.45s 3.91s
% Output : Refutation 13.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 37
% Syntax : Number of formulae : 315 ( 33 unt; 15 def)
% Number of atoms : 1218 ( 151 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 1580 ( 677 ~; 773 |; 43 &)
% ( 33 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 16 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 232 ( 0 sgn 205 !; 27 ?)
% 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)
| ? [X9] :
( ssItem(X9)
& X8 != X9
& memberP(X3,X9)
& leq(X8,X9) ) )
& ( 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)
| ? [X9] :
( ssItem(X9)
& X8 != X9
& memberP(X3,X9)
& leq(X8,X9) ) )
& ( 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)
& ! [X9] :
( ~ ssItem(X9)
| X8 = X9
| ~ memberP(X3,X9)
| ~ leq(X8,X9) ) )
| ( 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(f415,plain,
~ neq(sK51,sK53),
inference(cnf_transformation,[],[f221]) ).
fof(f416,plain,
ssItem(sK53),
inference(cnf_transformation,[],[f221]) ).
fof(f418,plain,
( nil = sK50
| sK49 = cons(sK52,nil) ),
inference(cnf_transformation,[],[f221]) ).
fof(f420,plain,
( nil = sK49
| memberP(sK50,sK52) ),
inference(cnf_transformation,[],[f221]) ).
fof(f422,plain,
( nil = sK49
| ssItem(sK52) ),
inference(cnf_transformation,[],[f221]) ).
fof(f423,plain,
ssItem(sK51),
inference(cnf_transformation,[],[f221]) ).
fof(f424,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f221]) ).
fof(f427,plain,
ssList(sK49),
inference(cnf_transformation,[],[f221]) ).
fof(f432,plain,
sK49 = app(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)),sK55),
inference(definition_unfolding,[],[f411,f424]) ).
fof(f434,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(f436,plain,
! [X2,X1] :
( ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X1,X2),X1) ),
inference(equality_resolution,[],[f236]) ).
fof(f438,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(f466,definition,
( spl56_1
<=> ssItem(sK52) ),
introduced(definition,[new_symbols(definition,[spl56_1])],[avatar_definition]) ).
fof(f468,plain,
( ssItem(sK52)
| ~ spl56_1 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f470,definition,
( spl56_2
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl56_2])],[avatar_definition]) ).
fof(f471,plain,
( nil != sK50
| spl56_2 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f472,plain,
( nil = sK50
| ~ spl56_2 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f476,definition,
( spl56_3
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl56_3])],[avatar_definition]) ).
fof(f478,plain,
( nil = sK49
| ~ spl56_3 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f479,plain,
( spl56_1
| spl56_3 ),
inference(avatar_split_clause,[],[f422,f476,f466]) ).
fof(f480,plain,
( memberP(nil,sK52)
| nil = sK49
| ~ spl56_2 ),
inference(forward_demodulation,[],[f420,f472]) ).
fof(f482,definition,
( spl56_4
<=> memberP(nil,sK52) ),
introduced(definition,[new_symbols(definition,[spl56_4])],[avatar_definition]) ).
fof(f484,plain,
( memberP(nil,sK52)
| ~ spl56_4 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f485,plain,
( spl56_3
| spl56_4
| ~ spl56_2 ),
inference(avatar_split_clause,[],[f480,f470,f482,f476]) ).
fof(f486,plain,
( ssList(nil)
| ~ spl56_3 ),
inference(superposition,[],[f427,f478]) ).
fof(f487,plain,
( nil = app(app(app(sK54,cons(sK51,nil)),cons(sK53,nil)),sK55)
| ~ spl56_3 ),
inference(forward_demodulation,[],[f432,f478]) ).
fof(f509,plain,
sK49 = app(nil,sK49),
inference(resolution,[],[f319,f427]) ).
fof(f616,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK51,X0) != X0 ),
inference(resolution,[],[f306,f423]) ).
fof(f617,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sK52,X0) != X0 )
| ~ spl56_1 ),
inference(resolution,[],[f306,f468]) ).
fof(f645,plain,
sK49 != cons(sK51,sK49),
inference(resolution,[],[f616,f427]) ).
fof(f650,plain,
( nil != cons(sK51,nil)
| ~ spl56_3 ),
inference(forward_demodulation,[],[f645,f478]) ).
fof(f651,plain,
( ~ ssItem(sK53)
| sK51 = sK53
| ~ ssItem(sK51) ),
inference(resolution,[],[f222,f415]) ).
fof(f656,plain,
( sK51 = sK53
| ~ ssItem(sK51) ),
inference(forward_subsumption_resolution,[],[f651,f416]) ).
fof(f657,plain,
sK51 = sK53,
inference(forward_subsumption_resolution,[],[f656,f423]) ).
fof(f762,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| tl(cons(sK44(X0),X1)) = X1
| nil = X0 ),
inference(resolution,[],[f316,f310]) ).
fof(f798,plain,
( sK49 != cons(sK52,sK49)
| ~ spl56_1 ),
inference(resolution,[],[f617,f427]) ).
fof(f1047,plain,
( sK54 = cons(sK44(sK54),sK43(sK54))
| nil = sK54 ),
inference(resolution,[],[f309,f412]) ).
fof(f1226,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK51,X0) = app(cons(sK51,nil),X0) ),
inference(resolution,[],[f391,f423]) ).
fof(f1293,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f436,f317]) ).
fof(f1296,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(app(X1,X0))
| ~ ssList(X1)
| app(X1,X0) = X1 ),
inference(resolution,[],[f1293,f338]) ).
fof(f1304,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(app(X1,X0))
| app(X1,X0) = X1 ),
inference(duplicate_literal_removal,[],[f1296]) ).
fof(f1307,plain,
! [X0,X1] :
( ~ frontsegP(X1,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,X0) = X1 ),
inference(forward_subsumption_resolution,[],[f1304,f317]) ).
fof(f1340,definition,
( spl56_6
<=> nil = sK54 ),
introduced(definition,[new_symbols(definition,[spl56_6])],[avatar_definition]) ).
fof(f1341,plain,
( nil != sK54
| spl56_6 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1342,plain,
( nil = sK54
| ~ spl56_6 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f2444,plain,
( segmentP(nil,cons(sK53,nil))
| ~ ssList(cons(sK53,nil))
| ~ ssList(sK55)
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(nil)
| ~ spl56_3 ),
inference(superposition,[],[f438,f487]) ).
fof(f2449,plain,
( segmentP(nil,cons(sK53,nil))
| ~ ssList(cons(sK53,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ ssList(nil)
| ~ spl56_3 ),
inference(forward_subsumption_resolution,[],[f2444,f410]) ).
fof(f2453,plain,
( segmentP(nil,cons(sK53,nil))
| ~ ssList(cons(sK53,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_3 ),
inference(forward_subsumption_resolution,[],[f2449,f486]) ).
fof(f2457,plain,
( segmentP(nil,cons(sK51,nil))
| ~ ssList(cons(sK53,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_3 ),
inference(forward_demodulation,[],[f2453,f657]) ).
fof(f2460,plain,
( ~ ssList(cons(sK51,nil))
| segmentP(nil,cons(sK51,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_3 ),
inference(forward_demodulation,[],[f2457,f657]) ).
fof(f2612,plain,
cons(sK51,sK49) = app(cons(sK51,nil),sK49),
inference(resolution,[],[f1226,f427]) ).
fof(f3374,definition,
( spl56_15
<=> segmentP(nil,cons(sK51,nil)) ),
introduced(definition,[new_symbols(definition,[spl56_15])],[avatar_definition]) ).
fof(f3375,plain,
( ~ segmentP(nil,cons(sK51,nil))
| spl56_15 ),
inference(avatar_component_clause,[],[f3374]) ).
fof(f3376,plain,
( segmentP(nil,cons(sK51,nil))
| ~ spl56_15 ),
inference(avatar_component_clause,[],[f3374]) ).
fof(f3378,definition,
( spl56_16
<=> ssList(cons(sK51,nil)) ),
introduced(definition,[new_symbols(definition,[spl56_16])],[avatar_definition]) ).
fof(f3379,plain,
( ssList(cons(sK51,nil))
| ~ spl56_16 ),
inference(avatar_component_clause,[],[f3378]) ).
fof(f3380,plain,
( ~ ssList(cons(sK51,nil))
| spl56_16 ),
inference(avatar_component_clause,[],[f3378]) ).
fof(f3386,plain,
( ~ ssItem(sK51)
| ~ ssList(nil)
| spl56_16 ),
inference(resolution,[],[f3380,f304]) ).
fof(f3387,plain,
( ~ ssList(nil)
| spl56_16 ),
inference(forward_subsumption_resolution,[],[f3386,f423]) ).
fof(f3461,plain,
( nil = cons(sK51,nil)
| ~ ssList(cons(sK51,nil))
| ~ spl56_15 ),
inference(resolution,[],[f3376,f360]) ).
fof(f3464,plain,
( ~ ssList(cons(sK51,nil))
| ~ spl56_3
| ~ spl56_15 ),
inference(forward_subsumption_resolution,[],[f3461,f650]) ).
fof(f3466,plain,
( $false
| ~ spl56_3
| ~ spl56_15
| ~ spl56_16 ),
inference(forward_subsumption_resolution,[],[f3464,f3379]) ).
fof(f3467,plain,
( ~ spl56_3
| ~ spl56_15
| ~ spl56_16 ),
inference(avatar_contradiction_clause,[],[f3466]) ).
fof(f3485,plain,
( segmentP(nil,cons(sK51,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_3
| ~ spl56_16 ),
inference(forward_subsumption_resolution,[],[f2460,f3379]) ).
fof(f3617,plain,
( ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_3
| spl56_15
| ~ spl56_16 ),
inference(forward_subsumption_resolution,[],[f3485,f3375]) ).
fof(f3618,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(sK54)
| ~ spl56_3
| spl56_15
| ~ spl56_16 ),
inference(resolution,[],[f3617,f317]) ).
fof(f3619,plain,
( ~ ssList(sK54)
| ~ spl56_3
| spl56_15
| ~ spl56_16 ),
inference(forward_subsumption_resolution,[],[f3618,f3379]) ).
fof(f3620,plain,
( $false
| ~ spl56_3
| spl56_15
| ~ spl56_16 ),
inference(forward_subsumption_resolution,[],[f3619,f412]) ).
fof(f3621,plain,
( ~ spl56_3
| spl56_15
| ~ spl56_16 ),
inference(avatar_contradiction_clause,[],[f3620]) ).
fof(f3672,plain,
( ~ ssItem(sK52)
| ~ spl56_4 ),
inference(resolution,[],[f484,f335]) ).
fof(f3675,plain,
( $false
| ~ spl56_1
| ~ spl56_4 ),
inference(forward_subsumption_resolution,[],[f3672,f468]) ).
fof(f3676,plain,
( ~ spl56_1
| ~ spl56_4 ),
inference(avatar_contradiction_clause,[],[f3675]) ).
fof(f3773,plain,
( sK49 = cons(sK52,nil)
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f418,f471]) ).
fof(f3788,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssItem(sK52)
| ~ ssList(nil)
| memberP(nil,X0)
| sK52 = X0
| ~ ssItem(X0) )
| spl56_2 ),
inference(superposition,[],[f332,f3773]) ).
fof(f3791,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| frontsegP(nil,X1)
| ~ ssItem(sK52) )
| spl56_2 ),
inference(superposition,[],[f341,f3773]) ).
fof(f3793,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| sK52 = X0
| ~ ssItem(sK52) )
| spl56_2 ),
inference(superposition,[],[f342,f3773]) ).
fof(f3831,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssList(nil)
| memberP(nil,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f3788,f468]) ).
fof(f4208,definition,
( spl56_18
<=> ssList(app(sK54,cons(sK51,nil))) ),
introduced(definition,[new_symbols(definition,[spl56_18])],[avatar_definition]) ).
fof(f4209,plain,
( ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_18 ),
inference(avatar_component_clause,[],[f4208]) ).
fof(f4210,plain,
( ~ ssList(app(sK54,cons(sK51,nil)))
| spl56_18 ),
inference(avatar_component_clause,[],[f4208]) ).
fof(f4216,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(sK54)
| spl56_18 ),
inference(resolution,[],[f4210,f317]) ).
fof(f4217,plain,
( ~ ssList(sK54)
| ~ spl56_16
| spl56_18 ),
inference(forward_subsumption_resolution,[],[f4216,f3379]) ).
fof(f4218,plain,
( $false
| ~ spl56_16
| spl56_18 ),
inference(forward_subsumption_resolution,[],[f4217,f412]) ).
fof(f4219,plain,
( ~ spl56_16
| spl56_18 ),
inference(avatar_contradiction_clause,[],[f4218]) ).
fof(f4757,definition,
( spl56_20
<=> ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil))) ),
introduced(definition,[new_symbols(definition,[spl56_20])],[avatar_definition]) ).
fof(f4758,plain,
( ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl56_20 ),
inference(avatar_component_clause,[],[f4757]) ).
fof(f4759,plain,
( ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| spl56_20 ),
inference(avatar_component_clause,[],[f4757]) ).
fof(f4766,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(app(sK54,cons(sK51,nil)))
| spl56_20 ),
inference(resolution,[],[f4759,f317]) ).
fof(f4767,plain,
( ~ ssList(app(sK54,cons(sK51,nil)))
| ~ spl56_16
| spl56_20 ),
inference(forward_subsumption_resolution,[],[f4766,f3379]) ).
fof(f4768,plain,
( $false
| ~ spl56_16
| ~ spl56_18
| spl56_20 ),
inference(forward_subsumption_resolution,[],[f4767,f4209]) ).
fof(f4769,plain,
( ~ spl56_16
| ~ spl56_18
| spl56_20 ),
inference(avatar_contradiction_clause,[],[f4768]) ).
fof(f12397,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(sK44(sK54),X0)) = X0
| nil = sK54 ),
inference(resolution,[],[f762,f412]) ).
fof(f13591,plain,
sK49 = app(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)),sK55),
inference(forward_demodulation,[],[f432,f657]) ).
fof(f13601,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| sK52 = X0 )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f3793,f468]) ).
fof(f13602,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,[],[f3791,f468]) ).
fof(f13605,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssList(nil)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f3831,f335]) ).
fof(f13656,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,f13591]) ).
fof(f13657,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,f13591]) ).
fof(f13668,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,[],[f1293,f13591]) ).
fof(f13678,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,[],[f13668,f410]) ).
fof(f13687,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,[],[f13657,f410]) ).
fof(f13688,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,[],[f13656,f4758]) ).
fof(f13695,plain,
( frontsegP(sK49,app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f13678,f4758]) ).
fof(f13704,plain,
( ! [X0] :
( ~ frontsegP(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)),X0)
| ~ ssList(X0)
| frontsegP(sK49,X0) )
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f13687,f4758]) ).
fof(f13705,plain,
( ! [X0] :
( ~ memberP(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)),X0)
| memberP(sK49,X0)
| ~ ssItem(X0) )
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f13688,f410]) ).
fof(f14370,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f13605,f305]) ).
fof(f14895,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| sK52 = X0 )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f13601,f305]) ).
fof(f14912,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| frontsegP(nil,X1) )
| ~ spl56_1
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f13602,f305]) ).
fof(f15274,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,[],[f13704,f1293]) ).
fof(f15275,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,[],[f13704,f340]) ).
fof(f15281,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,[],[f15275]) ).
fof(f15282,plain,
( ~ ssList(app(sK54,cons(sK51,nil)))
| frontsegP(sK49,app(sK54,cons(sK51,nil)))
| ~ ssList(cons(sK51,nil))
| ~ spl56_20 ),
inference(duplicate_literal_removal,[],[f15274]) ).
fof(f15285,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,[],[f15281,f3379]) ).
fof(f15286,plain,
( frontsegP(sK49,app(sK54,cons(sK51,nil)))
| ~ ssList(cons(sK51,nil))
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f15282,f4209]) ).
fof(f15288,plain,
( ! [X0] :
( ~ ssList(X0)
| frontsegP(sK49,X0)
| ~ frontsegP(app(sK54,cons(sK51,nil)),X0) )
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f15285,f4209]) ).
fof(f15297,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,[],[f13705,f434]) ).
fof(f15298,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,[],[f15297]) ).
fof(f15301,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,[],[f15298,f423]) ).
fof(f15304,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,[],[f15301,f305]) ).
fof(f15307,plain,
( memberP(sK49,sK51)
| ~ ssList(app(app(sK54,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f15304,f4209]) ).
fof(f15308,plain,
( memberP(sK49,sK51)
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f15307,f4758]) ).
fof(f15309,plain,
( sK51 = sK52
| ~ ssItem(sK51)
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(resolution,[],[f15308,f14370]) ).
fof(f15312,plain,
( sK51 = sK52
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f15309,f423]) ).
fof(f29065,plain,
( cons(sK52,sK49) = app(cons(sK52,nil),sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f2612,f15312]) ).
fof(f29066,plain,
( cons(sK52,sK49) = app(sK49,sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f29065,f3773]) ).
fof(f29223,plain,
( ~ frontsegP(sK49,cons(sK52,sK49))
| ~ ssList(sK49)
| ~ ssList(sK49)
| sK49 = cons(sK52,sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(superposition,[],[f1307,f29066]) ).
fof(f29232,plain,
( ~ frontsegP(sK49,cons(sK52,sK49))
| ~ ssList(sK49)
| sK49 = cons(sK52,sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(duplicate_literal_removal,[],[f29223]) ).
fof(f29253,plain,
( ~ frontsegP(sK49,cons(sK52,sK49))
| sK49 = cons(sK52,sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f29232,f427]) ).
fof(f29279,plain,
( ~ frontsegP(sK49,cons(sK52,sK49))
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f29253,f798]) ).
fof(f63185,definition,
( spl56_51
<=> ssItem(sK44(sK54)) ),
introduced(definition,[new_symbols(definition,[spl56_51])],[avatar_definition]) ).
fof(f63186,plain,
( ssItem(sK44(sK54))
| ~ spl56_51 ),
inference(avatar_component_clause,[],[f63185]) ).
fof(f63187,plain,
( ~ ssItem(sK44(sK54))
| spl56_51 ),
inference(avatar_component_clause,[],[f63185]) ).
fof(f63189,definition,
( spl56_52
<=> ssList(sK43(sK54)) ),
introduced(definition,[new_symbols(definition,[spl56_52])],[avatar_definition]) ).
fof(f63190,plain,
( ssList(sK43(sK54))
| ~ spl56_52 ),
inference(avatar_component_clause,[],[f63189]) ).
fof(f63191,plain,
( ~ ssList(sK43(sK54))
| spl56_52 ),
inference(avatar_component_clause,[],[f63189]) ).
fof(f63197,plain,
( ~ ssList(sK54)
| nil = sK54
| spl56_51 ),
inference(resolution,[],[f63187,f310]) ).
fof(f63198,plain,
( nil = sK54
| spl56_51 ),
inference(forward_subsumption_resolution,[],[f63197,f412]) ).
fof(f63199,plain,
( $false
| spl56_6
| spl56_51 ),
inference(forward_subsumption_resolution,[],[f63198,f1341]) ).
fof(f63200,plain,
( spl56_6
| spl56_51 ),
inference(avatar_contradiction_clause,[],[f63199]) ).
fof(f63463,plain,
( frontsegP(sK49,app(app(nil,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl56_6
| ~ spl56_20 ),
inference(superposition,[],[f13695,f1342]) ).
fof(f63554,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,[],[f63463,f15312]) ).
fof(f63568,plain,
( frontsegP(sK49,app(app(nil,sK49),sK49))
| ~ spl56_1
| spl56_2
| ~ spl56_6
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f63554,f3773]) ).
fof(f63576,plain,
( frontsegP(sK49,app(sK49,sK49))
| ~ spl56_1
| spl56_2
| ~ spl56_6
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f63568,f509]) ).
fof(f63582,plain,
( frontsegP(sK49,cons(sK52,sK49))
| ~ spl56_1
| spl56_2
| ~ spl56_6
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f63576,f29066]) ).
fof(f63585,plain,
( $false
| ~ spl56_1
| spl56_2
| ~ spl56_6
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f63582,f29279]) ).
fof(f63586,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_6
| ~ spl56_18
| ~ spl56_20 ),
inference(avatar_contradiction_clause,[],[f63585]) ).
fof(f63587,plain,
( sK54 = cons(sK44(sK54),sK43(sK54))
| spl56_6 ),
inference(forward_subsumption_resolution,[],[f1047,f1341]) ).
fof(f63708,plain,
( ~ frontsegP(sK49,sK54)
| ~ ssItem(sK44(sK54))
| ~ ssList(sK43(sK54))
| sK52 = sK44(sK54)
| ~ spl56_1
| spl56_2
| spl56_6 ),
inference(superposition,[],[f14895,f63587]) ).
fof(f63709,plain,
( ~ frontsegP(sK49,sK54)
| ~ ssItem(sK44(sK54))
| ~ ssList(sK43(sK54))
| frontsegP(nil,sK43(sK54))
| ~ spl56_1
| spl56_2
| spl56_6 ),
inference(superposition,[],[f14912,f63587]) ).
fof(f63730,plain,
( ~ frontsegP(sK49,sK54)
| ~ ssList(sK43(sK54))
| frontsegP(nil,sK43(sK54))
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51 ),
inference(forward_subsumption_resolution,[],[f63709,f63186]) ).
fof(f63731,plain,
( ~ frontsegP(sK49,sK54)
| ~ ssList(sK43(sK54))
| sK52 = sK44(sK54)
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51 ),
inference(forward_subsumption_resolution,[],[f63708,f63186]) ).
fof(f63790,plain,
( ~ ssList(sK54)
| nil = sK54
| spl56_52 ),
inference(resolution,[],[f63191,f311]) ).
fof(f63791,plain,
( nil = sK54
| spl56_52 ),
inference(forward_subsumption_resolution,[],[f63790,f412]) ).
fof(f63792,plain,
( $false
| spl56_6
| spl56_52 ),
inference(forward_subsumption_resolution,[],[f63791,f1341]) ).
fof(f63793,plain,
( spl56_6
| spl56_52 ),
inference(avatar_contradiction_clause,[],[f63792]) ).
fof(f67914,plain,
( ~ frontsegP(sK49,sK54)
| frontsegP(nil,sK43(sK54))
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52 ),
inference(forward_subsumption_resolution,[],[f63730,f63190]) ).
fof(f67916,definition,
( spl56_68
<=> frontsegP(nil,sK43(sK54)) ),
introduced(definition,[new_symbols(definition,[spl56_68])],[avatar_definition]) ).
fof(f67918,plain,
( frontsegP(nil,sK43(sK54))
| ~ spl56_68 ),
inference(avatar_component_clause,[],[f67916]) ).
fof(f67920,definition,
( spl56_69
<=> frontsegP(sK49,sK54) ),
introduced(definition,[new_symbols(definition,[spl56_69])],[avatar_definition]) ).
fof(f67921,plain,
( frontsegP(sK49,sK54)
| ~ spl56_69 ),
inference(avatar_component_clause,[],[f67920]) ).
fof(f67922,plain,
( ~ frontsegP(sK49,sK54)
| spl56_69 ),
inference(avatar_component_clause,[],[f67920]) ).
fof(f67923,plain,
( spl56_68
| ~ spl56_69
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52 ),
inference(avatar_split_clause,[],[f67914,f63189,f63185,f1340,f470,f466,f67920,f67916]) ).
fof(f67937,definition,
( spl56_71
<=> sK49 = sK54 ),
introduced(definition,[new_symbols(definition,[spl56_71])],[avatar_definition]) ).
fof(f67938,plain,
( sK49 = sK54
| ~ spl56_71 ),
inference(avatar_component_clause,[],[f67937]) ).
fof(f67939,plain,
( sK49 != sK54
| spl56_71 ),
inference(avatar_component_clause,[],[f67937]) ).
fof(f67946,definition,
( spl56_73
<=> ssList(tl(sK54)) ),
introduced(definition,[new_symbols(definition,[spl56_73])],[avatar_definition]) ).
fof(f67947,plain,
( ssList(tl(sK54))
| ~ spl56_73 ),
inference(avatar_component_clause,[],[f67946]) ).
fof(f67948,plain,
( ~ ssList(tl(sK54))
| spl56_73 ),
inference(avatar_component_clause,[],[f67946]) ).
fof(f68026,plain,
( nil = sK54
| ~ ssList(sK54)
| spl56_73 ),
inference(resolution,[],[f67948,f315]) ).
fof(f68027,plain,
( ~ ssList(sK54)
| spl56_6
| spl56_73 ),
inference(forward_subsumption_resolution,[],[f68026,f1341]) ).
fof(f68028,plain,
( $false
| spl56_6
| spl56_73 ),
inference(forward_subsumption_resolution,[],[f68027,f412]) ).
fof(f68029,plain,
( spl56_6
| spl56_73 ),
inference(avatar_contradiction_clause,[],[f68028]) ).
fof(f86746,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sK44(sK54),X0)) = X0 )
| spl56_6 ),
inference(forward_subsumption_resolution,[],[f12397,f1341]) ).
fof(f86812,plain,
( sK43(sK54) = tl(cons(sK44(sK54),sK43(sK54)))
| spl56_6
| ~ spl56_52 ),
inference(resolution,[],[f86746,f63190]) ).
fof(f86820,plain,
( tl(sK54) = sK43(sK54)
| spl56_6
| ~ spl56_52 ),
inference(forward_demodulation,[],[f86812,f63587]) ).
fof(f86842,plain,
( sK54 = cons(sK44(sK54),tl(sK54))
| spl56_6
| ~ spl56_52 ),
inference(superposition,[],[f63587,f86820]) ).
fof(f87940,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,[],[f15288,f15312]) ).
fof(f87941,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,[],[f87940,f3773]) ).
fof(f87942,plain,
( ~ ssList(sK54)
| frontsegP(sK49,sK54)
| ~ ssList(sK49)
| ~ ssList(sK54)
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20 ),
inference(resolution,[],[f87941,f1293]) ).
fof(f87952,plain,
( ~ ssList(sK54)
| frontsegP(sK49,sK54)
| ~ ssList(sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20 ),
inference(duplicate_literal_removal,[],[f87942]) ).
fof(f87956,plain,
( frontsegP(sK49,sK54)
| ~ ssList(sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f87952,f412]) ).
fof(f87958,plain,
( ~ ssList(sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20
| spl56_69 ),
inference(forward_subsumption_resolution,[],[f87956,f67922]) ).
fof(f87959,plain,
( $false
| ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20
| spl56_69 ),
inference(forward_subsumption_resolution,[],[f87958,f427]) ).
fof(f87960,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20
| spl56_69 ),
inference(avatar_contradiction_clause,[],[f87959]) ).
fof(f87961,plain,
( frontsegP(nil,tl(sK54))
| spl56_6
| ~ spl56_52
| ~ spl56_68 ),
inference(forward_demodulation,[],[f67918,f86820]) ).
fof(f87962,plain,
( ~ frontsegP(sK49,sK54)
| sK52 = sK44(sK54)
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52 ),
inference(forward_subsumption_resolution,[],[f63731,f63190]) ).
fof(f88037,plain,
( nil = tl(sK54)
| ~ ssList(tl(sK54))
| spl56_6
| ~ spl56_52
| ~ spl56_68 ),
inference(resolution,[],[f87961,f346]) ).
fof(f88086,plain,
( nil = tl(sK54)
| spl56_6
| ~ spl56_52
| ~ spl56_68
| ~ spl56_73 ),
inference(forward_subsumption_resolution,[],[f88037,f67947]) ).
fof(f88112,plain,
( sK52 = sK44(sK54)
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52
| ~ spl56_69 ),
inference(forward_subsumption_resolution,[],[f87962,f67921]) ).
fof(f88292,plain,
( sK54 = cons(sK44(sK54),nil)
| spl56_6
| ~ spl56_52
| ~ spl56_68
| ~ spl56_73 ),
inference(superposition,[],[f86842,f88086]) ).
fof(f88301,plain,
( sK54 = cons(sK52,nil)
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52
| ~ spl56_68
| ~ spl56_69
| ~ spl56_73 ),
inference(forward_demodulation,[],[f88292,f88112]) ).
fof(f88310,plain,
( sK49 = sK54
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52
| ~ spl56_68
| ~ spl56_69
| ~ spl56_73 ),
inference(forward_demodulation,[],[f88301,f3773]) ).
fof(f88311,plain,
( $false
| ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52
| ~ spl56_68
| ~ spl56_69
| spl56_71
| ~ spl56_73 ),
inference(forward_subsumption_resolution,[],[f88310,f67939]) ).
fof(f88312,plain,
( ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52
| ~ spl56_68
| ~ spl56_69
| spl56_71
| ~ spl56_73 ),
inference(avatar_contradiction_clause,[],[f88311]) ).
fof(f88700,plain,
( $false
| spl56_16 ),
inference(forward_subsumption_resolution,[],[f3387,f305]) ).
fof(f88701,plain,
spl56_16,
inference(avatar_contradiction_clause,[],[f88700]) ).
fof(f88710,plain,
( frontsegP(sK49,app(sK54,cons(sK52,nil)))
| ~ ssList(cons(sK51,nil))
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f15286,f15312]) ).
fof(f88803,plain,
( frontsegP(sK49,app(sK54,sK49))
| ~ ssList(cons(sK51,nil))
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20 ),
inference(forward_demodulation,[],[f88710,f3773]) ).
fof(f88880,plain,
( frontsegP(sK49,app(sK49,sK49))
| ~ ssList(cons(sK51,nil))
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_71 ),
inference(forward_demodulation,[],[f88803,f67938]) ).
fof(f88943,plain,
( frontsegP(sK49,cons(sK52,sK49))
| ~ ssList(cons(sK51,nil))
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_71 ),
inference(forward_demodulation,[],[f88880,f29066]) ).
fof(f88998,plain,
( ~ ssList(cons(sK51,nil))
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_71 ),
inference(forward_subsumption_resolution,[],[f88943,f29279]) ).
fof(f89050,plain,
( ~ ssList(cons(sK52,nil))
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_71 ),
inference(forward_demodulation,[],[f88998,f15312]) ).
fof(f89089,plain,
( ~ ssList(sK49)
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_71 ),
inference(forward_demodulation,[],[f89050,f3773]) ).
fof(f89112,plain,
( $false
| ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_71 ),
inference(forward_subsumption_resolution,[],[f89089,f427]) ).
fof(f89113,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_71 ),
inference(avatar_contradiction_clause,[],[f89112]) ).
cnf(s2,plain,
( spl56_1
| spl56_3 ),
inference(sat_conversion,[],[f479]) ).
cnf(s3,plain,
( ~ spl56_2
| spl56_3
| spl56_4 ),
inference(sat_conversion,[],[f485]) ).
cnf(s20,plain,
( ~ spl56_3
| ~ spl56_15
| ~ spl56_16 ),
inference(sat_conversion,[],[f3467]) ).
cnf(s21,plain,
( ~ spl56_3
| spl56_15
| ~ spl56_16 ),
inference(sat_conversion,[],[f3621]) ).
cnf(s22,plain,
( ~ spl56_1
| ~ spl56_4 ),
inference(sat_conversion,[],[f3676]) ).
cnf(s24,plain,
( ~ spl56_16
| spl56_18 ),
inference(sat_conversion,[],[f4219]) ).
cnf(s26,plain,
( ~ spl56_16
| ~ spl56_18
| spl56_20 ),
inference(sat_conversion,[],[f4769]) ).
cnf(s68,plain,
( spl56_6
| spl56_51 ),
inference(sat_conversion,[],[f63200]) ).
cnf(s70,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_6
| ~ spl56_18
| ~ spl56_20 ),
inference(sat_conversion,[],[f63586]) ).
cnf(s71,plain,
( spl56_6
| spl56_52 ),
inference(sat_conversion,[],[f63793]) ).
cnf(s84,plain,
( ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52
| spl56_68
| ~ spl56_69 ),
inference(sat_conversion,[],[f67923]) ).
cnf(s88,plain,
( spl56_6
| spl56_73 ),
inference(sat_conversion,[],[f68029]) ).
cnf(s115,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_16
| ~ spl56_18
| ~ spl56_20
| spl56_69 ),
inference(sat_conversion,[],[f87960]) ).
cnf(s116,plain,
( ~ spl56_1
| spl56_2
| spl56_6
| ~ spl56_51
| ~ spl56_52
| ~ spl56_68
| ~ spl56_69
| spl56_71
| ~ spl56_73 ),
inference(sat_conversion,[],[f88312]) ).
cnf(s119,plain,
spl56_16,
inference(sat_conversion,[],[f88701]) ).
cnf(s121,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| ~ spl56_71 ),
inference(sat_conversion,[],[f89113]) ).
cnf(s123,plain,
( ~ spl56_1
| spl56_2
| ~ spl56_18
| ~ spl56_20
| spl56_69 ),
inference(rat,[],[s115,s119]) ).
cnf(s139,plain,
( ~ spl56_18
| spl56_20 ),
inference(rat,[],[s26,s119]) ).
cnf(s140,plain,
spl56_18,
inference(rat,[],[s24,s119]) ).
cnf(s141,plain,
spl56_20,
inference(rat,[],[s139,s140]) ).
cnf(s143,plain,
( ~ spl56_3
| spl56_15 ),
inference(rat,[],[s21,s119]) ).
cnf(s144,plain,
( ~ spl56_3
| ~ spl56_15 ),
inference(rat,[],[s20,s119]) ).
cnf(s149,plain,
~ spl56_3,
inference(rat,[],[s144,s143]) ).
cnf(s153,plain,
spl56_1,
inference(rat,[],[s2,s149]) ).
cnf(s155,plain,
~ spl56_4,
inference(rat,[],[s22,s153]) ).
cnf(s156,plain,
~ spl56_2,
inference(rat,[],[s3,s149,s155]) ).
cnf(s157,plain,
~ spl56_71,
inference(rat,[],[s121,s153,s141,s140,s156]) ).
cnf(s158,plain,
spl56_69,
inference(rat,[],[s123,s153,s141,s140,s156]) ).
cnf(s164,plain,
~ spl56_6,
inference(rat,[],[s70,s141,s140,s153,s156]) ).
cnf(s174,plain,
spl56_73,
inference(rat,[],[s88,s164]) ).
cnf(s176,plain,
spl56_52,
inference(rat,[],[s71,s164]) ).
cnf(s177,plain,
spl56_51,
inference(rat,[],[s68,s164]) ).
cnf(s184,plain,
~ spl56_68,
inference(rat,[],[s116,s174,s157,s158,s164,s176,s156,s153,s177]) ).
cnf(s185,plain,
$false,
inference(rat,[],[s84,s158,s164,s176,s156,s153,s184,s177]) ).
fof(f89132,plain,
$false,
inference(avatar_sat_refutation,[],[s185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC171+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 08:11:21 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 14.02/2.41 % (3391875)Will run a generic schedule for satisfiability detection.
% 14.02/2.41 % (3391884)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=457704439:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.02/2.41 % (3391881)% WARNING: option uhcvi not known.
% 14.02/2.41 % (3391882)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1788378864:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.02/2.41 % (3391880)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2966413192_2999 on theBenchmark for (2999ds/0Mi)
% 14.02/2.41 % (3391881)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1849731029:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.02/2.41 % (3391883)dis+10_1_sil=32000:sp=arity:random_seed=1600426737:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.02/2.41 % (3391886)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2468385401:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.02/2.41 % (3391885)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1767535166:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.02/2.41 % TRYING [1]
% 14.02/2.41 % TRYING [2]
% 14.02/2.41 % TRYING [3]
% 14.02/2.41 % (3391884)Instruction limit reached!
% 14.02/2.41 % (3391884)------------------------------
% 14.02/2.41 % (3391884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.02/2.41 % (3391884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.41 % (3391884)CaDiCaL version: 2.1.3
% 14.02/2.41 % (3391884)Termination reason: Instruction limit
% 14.02/2.41 % (3391884)Termination phase: Saturation
% 14.02/2.41 % (3391884)Time elapsed: 0.040 s
% 14.02/2.41 % (3391884)Peak memory usage: 13 MB
% 14.02/2.41 % (3391884)Instructions burned: 117 (million)
% 14.02/2.41 % TRYING [4]
% 14.02/2.41 % (3391894)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3526734036:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.02/2.41 % TRYING [1]
% 14.02/2.41 % TRYING [2]
% 14.02/2.41 % TRYING [3]
% 14.02/2.41 % (3391883)Instruction limit reached!
% 14.02/2.41 % (3391883)------------------------------
% 14.02/2.41 % (3391883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.02/2.41 % (3391883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.41 % (3391883)CaDiCaL version: 2.1.3
% 14.02/2.41 % (3391883)Termination reason: Instruction limit
% 14.02/2.41 % (3391883)Termination phase: Saturation
% 14.02/2.41 % (3391883)Time elapsed: 0.061 s
% 14.02/2.41 % (3391883)Peak memory usage: 13 MB
% 14.02/2.41 % (3391883)Instructions burned: 104 (million)
% 14.02/2.41 % TRYING [4]
% 14.02/2.41 % (3391885)Instruction limit reached!
% 14.02/2.41 % (3391885)------------------------------
% 14.02/2.41 % (3391885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.02/2.41 % (3391885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.41 % (3391885)CaDiCaL version: 2.1.3
% 14.02/2.41 % (3391885)Termination reason: Instruction limit
% 14.02/2.41 % (3391885)Termination phase: Saturation
% 14.02/2.41 % (3391885)Time elapsed: 0.079 s
% 14.02/2.41 % (3391885)Peak memory usage: 13 MB
% 14.02/2.41 % (3391885)Instructions burned: 132 (million)
% 14.02/2.41 % (3391896)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3061595284:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 14.02/2.41 % TRYING [5]
% 14.02/2.41 % TRYING [5]
% 14.02/2.41 % (3391897)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=337563023:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.02/2.41 % (3391886)Instruction limit reached!
% 14.02/2.41 % (3391886)------------------------------
% 14.02/2.41 % (3391886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.02/2.41 % (3391886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.02/2.41 % (3391886)CaDiCaL version: 2.1.3
% 14.02/2.41 % (3391886)Termination reason: Instruction limit
% 14.02/2.41 % (3391886)Termination phase: Saturation
% 14.02/2.41 % (3391886)Time elapsed: 0.105 s
% 14.02/2.41 % (3391886)Peak memory usage: 15 MB
% 14.02/2.41 % (3391886)Instructions burned: 159 (million)
% 14.02/2.41 % (3391900)ott-21_1_sil=16000:fs=off:random_seed=2411248896:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.02/2.41 % (3391896)Instruction limit reached!
% 14.02/2.41 % (3391896)------------------------------
% 14.02/2.41 % (3391896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.45/3.91 % (3391896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/3.91 % (3391896)CaDiCaL version: 2.1.3
% 13.45/3.91 % (3391896)Termination reason: Instruction limit
% 13.45/3.91 % (3391896)Termination phase: Saturation
% 13.45/3.91 % (3391896)Time elapsed: 0.076 s
% 13.45/3.91 % (3391896)Peak memory usage: 13 MB
% 13.45/3.91 % (3391896)Instructions burned: 133 (million)
% 13.45/3.91 % (3391902)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3497860528:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 13.45/3.91 % TRYING [6]
% 13.45/3.91 % (3391894)Instruction limit reached!
% 13.45/3.91 % (3391894)------------------------------
% 13.45/3.91 % (3391894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.45/3.91 % (3391894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/3.91 % (3391894)CaDiCaL version: 2.1.3
% 13.45/3.91 % (3391894)Termination reason: Instruction limit
% 13.45/3.91 % (3391894)Termination phase: Finite model building constraint generation
% 13.45/3.91 % (3391894)Time elapsed: 0.159 s
% 13.45/3.91 % (3391894)Peak memory usage: 28 MB
% 13.45/3.91 % (3391894)Instructions burned: 719 (million)
% 13.45/3.91 % (3391900)Instruction limit reached!
% 13.45/3.91 % (3391900)------------------------------
% 13.45/3.91 % (3391900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.45/3.91 % (3391900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/3.91 % (3391900)CaDiCaL version: 2.1.3
% 13.45/3.91 % (3391900)Termination reason: Instruction limit
% 13.45/3.91 % (3391900)Termination phase: Saturation
% 13.45/3.91 % (3391900)Time elapsed: 0.089 s
% 13.45/3.91 % (3391900)Peak memory usage: 14 MB
% 13.45/3.91 % (3391900)Instructions burned: 182 (million)
% 13.45/3.91 % (3391904)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2036644638:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 13.45/3.91 % TRYING [6]
% 13.45/3.91 % TRYING [1]
% 13.45/3.91 % TRYING [2]
% 13.45/3.91 % TRYING [3]
% 13.45/3.91 % (3391905)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3324628329:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 13.45/3.91 % TRYING [4]
% 13.45/3.91 % TRYING [5]
% 13.45/3.91 % (3391904)Instruction limit reached!
% 13.45/3.91 % (3391904)------------------------------
% 13.45/3.91 % (3391904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.45/3.91 % (3391904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/3.91 % (3391904)CaDiCaL version: 2.1.3
% 13.45/3.91 % (3391904)Termination reason: Instruction limit
% 13.45/3.91 % (3391904)Termination phase: Finite model building SAT solving
% 13.45/3.91 % (3391904)Time elapsed: 0.182 s
% 13.45/3.91 % (3391904)Peak memory usage: 22 MB
% 13.45/3.91 % (3391904)Instructions burned: 866 (million)
% 13.45/3.91 % (3391908)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4027316362:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 13.45/3.91 % TRYING [14]
% 13.45/3.91 % (3391897)Instruction limit reached!
% 13.45/3.91 % (3391897)------------------------------
% 13.45/3.91 % (3391897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.45/3.91 % (3391897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/3.91 % (3391897)CaDiCaL version: 2.1.3
% 13.45/3.91 % (3391897)Termination reason: Instruction limit
% 13.45/3.91 % (3391897)Termination phase: Saturation
% 13.45/3.91 % (3391897)Time elapsed: 0.373 s
% 13.45/3.91 % (3391897)Peak memory usage: 22 MB
% 13.45/3.91 % (3391897)Instructions burned: 684 (million)
% 13.45/3.91 % (3391910)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=877171699: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)
% 13.45/3.91 % (3391902)Instruction limit reached!
% 13.45/3.91 % (3391902)------------------------------
% 13.45/3.91 % (3391902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.45/3.91 % (3391902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/3.91 % (3391902)CaDiCaL version: 2.1.3
% 13.45/3.91 % (3391902)Termination reason: Instruction limit
% 13.45/3.91 % (3391902)Termination phase: Saturation
% 13.45/3.91 % (3391902)Time elapsed: 0.326 s
% 13.45/3.91 % (3391902)Peak memory usage: 14 MB
% 13.45/3.91 % (3391902)Instructions burned: 478 (million)
% 13.45/3.91 % TRYING [7]
% 13.45/3.91 % (3391912)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=908197281:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 13.45/3.91 % (3391908)Instruction limit reached!
% 13.45/3.91 % (3391908)------------------------------
% 13.45/3.91 % (3391908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.45/3.91 % (3391908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/3.91 % (3391908)CaDiCaL version: 2.1.3
% 13.45/3.91 % (3391908)Termination reason: Instruction limit
% 13.45/3.91 % (3391908)Termination phase: Finite model building constraint generation
% 13.45/3.91 % (3391908)Time elapsed: 0.176 s
% 13.45/3.91 % (3391908)Peak memory usage: 70 MB
% 13.45/3.91 % (3391908)Instructions burned: 889 (million)
% 13.45/3.91 % (3391914)fmb+10_1_sil=64000:random_seed=2628355691:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 13.45/3.91 % TRYING [1]
% 13.45/3.91 % TRYING [2]
% 13.45/3.91 % TRYING [3]
% 13.45/3.91 % TRYING [4]
% 13.45/3.91 % TRYING [5]
% 13.45/3.91 % (3391910)Instruction limit reached!
% 13.45/3.91 % (3391910)------------------------------
% 13.45/3.91 % (3391910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.45/3.91 % (3391910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/3.91 % (3391910)CaDiCaL version: 2.1.3
% 13.45/3.91 % (3391910)Termination reason: Instruction limit
% 13.45/3.91 % (3391910)Termination phase: Saturation
% 13.45/3.91 % (3391910)Time elapsed: 0.361 s
% 13.45/3.91 % (3391910)Peak memory usage: 23 MB
% 13.45/3.91 % (3391910)Instructions burned: 693 (million)
% 13.45/3.91 % TRYING [6]
% 13.45/3.91 % (3391916)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2501260400:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 13.45/3.91 % (3391905)Instruction limit reached!
% 13.45/3.91 % (3391905)------------------------------
% 13.45/3.91 % (3391905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.45/3.91 % (3391905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/3.91 % (3391905)CaDiCaL version: 2.1.3
% 13.45/3.91 % (3391905)Termination reason: Instruction limit
% 13.45/3.91 % (3391905)Termination phase: Saturation
% 13.45/3.91 % (3391905)Time elapsed: 0.652 s
% 13.45/3.91 % (3391905)Peak memory usage: 27 MB
% 13.45/3.91 % (3391905)Instructions burned: 1180 (million)
% 13.45/3.91 % TRYING [20]
% 13.45/3.91 % (3391918)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=251615207:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 13.45/3.91 % TRYING [8]
% 13.45/3.91 % (3391912)Instruction limit reached!
% 13.45/3.91 % (3391912)------------------------------
% 13.45/3.91 % (3391912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.45/3.91 % (3391912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/3.91 % (3391912)CaDiCaL version: 2.1.3
% 13.45/3.91 % (3391912)Termination reason: Instruction limit
% 13.45/3.91 % (3391912)Termination phase: Saturation
% 13.45/3.91 % (3391912)Time elapsed: 0.466 s
% 13.45/3.91 % (3391912)Peak memory usage: 19 MB
% 13.45/3.91 % (3391912)Instructions burned: 880 (million)
% 13.45/3.91 % (3391920)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2773035829:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 13.45/3.91 % TRYING [8]
% 13.45/3.91 % (3391918)Instruction limit reached!
% 13.45/3.91 % (3391918)------------------------------
% 13.45/3.91 % (3391918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.45/3.91 % (3391918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/3.91 % (3391918)CaDiCaL version: 2.1.3
% 13.45/3.91 % (3391918)Termination reason: Instruction limit
% 13.45/3.91 % (3391918)Termination phase: Finite model building constraint generation
% 13.45/3.91 % (3391918)Time elapsed: 0.339 s
% 13.45/3.91 % (3391918)Peak memory usage: 69 MB
% 13.45/3.91 % (3391918)Instructions burned: 921 (million)
% 13.45/3.91 % TRYING [7]
% 13.45/3.91 % (3391922)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1264309153:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 13.45/3.91 % (3391922)Instruction limit reached!
% 13.45/3.91 % (3391922)------------------------------
% 13.45/3.91 % (3391922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.45/3.91 % (3391922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/3.91 % (3391922)CaDiCaL version: 2.1.3
% 13.45/3.91 % (3391922)Termination reason: Instruction limit
% 13.45/3.91 % (3391922)Termination phase: Saturation
% 13.45/3.91 % (3391922)Time elapsed: 0.655 s
% 13.45/3.91 % (3391922)Peak memory usage: 23 MB
% 13.45/3.91 % (3391922)Instructions burned: 1473 (million)
% 13.45/3.91 % (3391924)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1391459548:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 13.45/3.91 % TRYING [77]
% 13.45/3.91 % TRYING [8]
% 13.45/3.91 % TRYING [9]
% 13.45/3.91 % (3391920) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3391875-3391920"...
% 13.45/3.91 % (3391920)...printing done.
% 13.45/3.91 % (3391920)Refutation found. Thanks to Tanya!
% 13.45/3.91 % SZS status Theorem for theBenchmark
% 13.45/3.91 % SZS output start Proof for theBenchmark
% See solution above
% 13.45/3.91 % (3391920)------------------------------
% 13.45/3.91 % (3391920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.45/3.91 % (3391920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/3.91 % (3391920)CaDiCaL version: 2.1.3
% 13.45/3.91 % (3391920)Termination reason: Refutation
% 13.45/3.91 % (3391920)Time elapsed: 2.364 s
% 13.45/3.91 % (3391920)Peak memory usage: 48 MB
% 13.45/3.91 % (3391920)Instructions burned: 4373 (million)
% 13.45/3.91 % (3391875)Success in time 3.486 s
% 13.45/3.91 % Vampire exiting
%------------------------------------------------------------------------------