%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC284+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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:05:23 PM UTC 2026
% Result : Theorem 8.76s 1.62s
% Output : Refutation 8.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 37
% Syntax : Number of formulae : 290 ( 29 unt; 14 def)
% Number of atoms : 1171 ( 142 equ)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 1577 ( 696 ~; 758 |; 35 &)
% ( 32 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 15 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 214 ( 0 sgn 195 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(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(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
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(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(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(f31,axiom,
! [X0] :
( ssItem(X0)
=> leq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax31) ).
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(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(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax86) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X0
| ! [X7] :
( ssItem(X7)
=> ( ( ~ memberP(X5,X7)
| leq(X7,X4) )
& ( ~ memberP(X6,X7)
| leq(X4,X7) ) ) ) ) ) )
| ( nil != X2
& nil = X3 )
| ( ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X2
| ~ memberP(X3,X8) )
& neq(X3,nil) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ~ ssList(X6)
| app(app(X5,cons(X4,nil)),X6) != X0
| ! [X7] :
( ssItem(X7)
=> ( ( ~ memberP(X5,X7)
| leq(X7,X4) )
& ( ~ memberP(X6,X7)
| leq(X4,X7) ) ) ) ) ) )
| ( nil != X2
& nil = X3 )
| ( ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X2
| ~ memberP(X3,X8) )
& neq(X3,nil) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(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(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
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(f126,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f126]) ).
fof(f129,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f129]) ).
fof(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(f139,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f31]) ).
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(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(f192,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f193,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f192]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f204]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X0
& ? [X7] :
( ( ( memberP(X5,X7)
& ~ leq(X7,X4) )
| ( memberP(X6,X7)
& ~ leq(X4,X7) ) )
& ssItem(X7) ) )
& ssList(X5) )
& ssItem(X4) )
& ( nil = X2
| nil != X3 )
& ( ? [X8] :
( ssItem(X8)
& cons(X8,nil) = X2
& memberP(X3,X8) )
| ~ neq(X3,nil) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
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(f302,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X1)
| X0 = X1
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f118]) ).
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(f313,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f127]) ).
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(f322,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f330,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X2,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f146]) ).
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(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(f388,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f398,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f411,plain,
( memberP(sK54,sK55)
| memberP(sK53,sK55) ),
inference(cnf_transformation,[],[f221]) ).
fof(f412,plain,
( ~ leq(sK51,sK55)
| ~ leq(sK55,sK51) ),
inference(cnf_transformation,[],[f221]) ).
fof(f414,plain,
ssItem(sK55),
inference(cnf_transformation,[],[f221]) ).
fof(f415,plain,
sK47 = app(app(sK53,cons(sK51,nil)),sK54),
inference(cnf_transformation,[],[f221]) ).
fof(f416,plain,
ssList(sK54),
inference(cnf_transformation,[],[f221]) ).
fof(f417,plain,
ssList(sK53),
inference(cnf_transformation,[],[f221]) ).
fof(f419,plain,
( ~ neq(sK50,nil)
| sK49 = cons(sK52,nil) ),
inference(cnf_transformation,[],[f221]) ).
fof(f420,plain,
( ~ neq(sK50,nil)
| ssItem(sK52) ),
inference(cnf_transformation,[],[f221]) ).
fof(f421,plain,
ssItem(sK51),
inference(cnf_transformation,[],[f221]) ).
fof(f422,plain,
( nil != sK50
| nil = sK49 ),
inference(cnf_transformation,[],[f221]) ).
fof(f423,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f221]) ).
fof(f425,plain,
ssList(sK50),
inference(cnf_transformation,[],[f221]) ).
fof(f426,plain,
ssList(sK49),
inference(cnf_transformation,[],[f221]) ).
fof(f431,plain,
sK49 = app(app(sK53,cons(sK51,nil)),sK54),
inference(definition_unfolding,[],[f415,f423]) ).
fof(f433,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f227]) ).
fof(f435,plain,
! [X2,X1] :
( ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X1,X2),X1) ),
inference(equality_resolution,[],[f236]) ).
fof(f437,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f240]) ).
fof(f465,definition,
( spl56_1
<=> ssItem(sK52) ),
introduced(definition,[new_symbols(definition,[spl56_1])],[avatar_definition]) ).
fof(f467,plain,
( ssItem(sK52)
| ~ spl56_1 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f469,definition,
( spl56_2
<=> neq(sK50,nil) ),
introduced(definition,[new_symbols(definition,[spl56_2])],[avatar_definition]) ).
fof(f470,plain,
( neq(sK50,nil)
| ~ spl56_2 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f471,plain,
( ~ neq(sK50,nil)
| spl56_2 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f472,plain,
( spl56_1
| ~ spl56_2 ),
inference(avatar_split_clause,[],[f420,f469,f465]) ).
fof(f474,definition,
( spl56_3
<=> leq(sK55,sK51) ),
introduced(definition,[new_symbols(definition,[spl56_3])],[avatar_definition]) ).
fof(f475,plain,
( leq(sK55,sK51)
| ~ spl56_3 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f476,plain,
( ~ leq(sK55,sK51)
| spl56_3 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f478,definition,
( spl56_4
<=> memberP(sK54,sK55) ),
introduced(definition,[new_symbols(definition,[spl56_4])],[avatar_definition]) ).
fof(f480,plain,
( memberP(sK54,sK55)
| ~ spl56_4 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f483,definition,
( spl56_5
<=> memberP(sK53,sK55) ),
introduced(definition,[new_symbols(definition,[spl56_5])],[avatar_definition]) ).
fof(f484,plain,
( ~ memberP(sK53,sK55)
| spl56_5 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f485,plain,
( memberP(sK53,sK55)
| ~ spl56_5 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f486,plain,
( spl56_5
| spl56_4 ),
inference(avatar_split_clause,[],[f411,f478,f483]) ).
fof(f493,definition,
( spl56_7
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl56_7])],[avatar_definition]) ).
fof(f494,plain,
( nil != sK49
| spl56_7 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f495,plain,
( nil = sK49
| ~ spl56_7 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f497,definition,
( spl56_8
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl56_8])],[avatar_definition]) ).
fof(f499,plain,
( nil != sK50
| spl56_8 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f500,plain,
( spl56_7
| ~ spl56_8 ),
inference(avatar_split_clause,[],[f422,f497,f493]) ).
fof(f522,plain,
sK49 = app(nil,sK49),
inference(resolution,[],[f319,f426]) ).
fof(f525,plain,
sK54 = app(nil,sK54),
inference(resolution,[],[f319,f416]) ).
fof(f629,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK51,X0) != X0 ),
inference(resolution,[],[f306,f421]) ).
fof(f633,plain,
nil != cons(sK51,nil),
inference(resolution,[],[f629,f305]) ).
fof(f676,plain,
( ~ ssList(nil)
| nil = sK50
| ~ ssList(sK50)
| spl56_2 ),
inference(resolution,[],[f302,f471]) ).
fof(f681,plain,
( nil = sK50
| ~ ssList(sK50)
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f676,f305]) ).
fof(f682,plain,
( ~ ssList(sK50)
| spl56_2
| spl56_8 ),
inference(forward_subsumption_resolution,[],[f681,f499]) ).
fof(f683,plain,
( $false
| spl56_2
| spl56_8 ),
inference(forward_subsumption_resolution,[],[f682,f425]) ).
fof(f684,plain,
( spl56_2
| spl56_8 ),
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f1071,plain,
( nil = sK53
| sK53 = cons(hd(sK53),tl(sK53)) ),
inference(resolution,[],[f388,f417]) ).
fof(f1316,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f435,f317]) ).
fof(f1380,definition,
( spl56_12
<=> nil = sK53 ),
introduced(definition,[new_symbols(definition,[spl56_12])],[avatar_definition]) ).
fof(f1381,plain,
( nil != sK53
| spl56_12 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f1382,plain,
( nil = sK53
| ~ spl56_12 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f1384,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(sK54)
| ~ memberP(sK54,X0)
| ~ ssItem(X0) ),
inference(superposition,[],[f330,f431]) ).
fof(f1395,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ memberP(sK54,X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f1384,f416]) ).
fof(f1399,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(sK54)
| ~ memberP(app(sK53,cons(sK51,nil)),X0)
| ~ ssItem(X0) ),
inference(superposition,[],[f331,f431]) ).
fof(f1410,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ memberP(app(sK53,cons(sK51,nil)),X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f1399,f416]) ).
fof(f1418,definition,
( spl56_14
<=> nil = sK54 ),
introduced(definition,[new_symbols(definition,[spl56_14])],[avatar_definition]) ).
fof(f1419,plain,
( nil != sK54
| spl56_14 ),
inference(avatar_component_clause,[],[f1418]) ).
fof(f1420,plain,
( nil = sK54
| ~ spl56_14 ),
inference(avatar_component_clause,[],[f1418]) ).
fof(f1426,plain,
! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ ssList(sK54)
| ~ frontsegP(app(sK53,cons(sK51,nil)),X0)
| ~ ssList(app(sK53,cons(sK51,nil))) ),
inference(superposition,[],[f340,f431]) ).
fof(f1444,plain,
! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ frontsegP(app(sK53,cons(sK51,nil)),X0)
| ~ ssList(app(sK53,cons(sK51,nil))) ),
inference(forward_subsumption_resolution,[],[f1426,f416]) ).
fof(f1624,plain,
( memberP(nil,sK55)
| ~ spl56_4
| ~ spl56_14 ),
inference(superposition,[],[f480,f1420]) ).
fof(f1645,plain,
( ~ ssItem(sK55)
| ~ spl56_4
| ~ spl56_14 ),
inference(resolution,[],[f1624,f335]) ).
fof(f1646,plain,
( $false
| ~ spl56_4
| ~ spl56_14 ),
inference(forward_subsumption_resolution,[],[f1645,f414]) ).
fof(f1647,plain,
( ~ spl56_4
| ~ spl56_14 ),
inference(avatar_contradiction_clause,[],[f1646]) ).
fof(f1968,plain,
! [X0] :
( ~ ssList(X0)
| nil = sK49
| tl(app(sK49,X0)) = app(tl(sK49),X0) ),
inference(resolution,[],[f398,f426]) ).
fof(f2015,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sK52,X0)) = X0 )
| ~ spl56_1 ),
inference(resolution,[],[f467,f316]) ).
fof(f2418,plain,
( segmentP(sK49,cons(sK51,nil))
| ~ ssList(cons(sK51,nil))
| ~ ssList(sK54)
| ~ ssList(sK53)
| ~ ssList(sK49) ),
inference(superposition,[],[f437,f431]) ).
fof(f2423,plain,
( segmentP(sK49,cons(sK51,nil))
| ~ ssList(cons(sK51,nil))
| ~ ssList(sK53)
| ~ ssList(sK49) ),
inference(forward_subsumption_resolution,[],[f2418,f416]) ).
fof(f2429,plain,
( segmentP(sK49,cons(sK51,nil))
| ~ ssList(cons(sK51,nil))
| ~ ssList(sK49) ),
inference(forward_subsumption_resolution,[],[f2423,f417]) ).
fof(f2435,plain,
( segmentP(sK49,cons(sK51,nil))
| ~ ssList(cons(sK51,nil)) ),
inference(forward_subsumption_resolution,[],[f2429,f426]) ).
fof(f2696,plain,
( nil = tl(cons(sK52,nil))
| ~ spl56_1 ),
inference(resolution,[],[f2015,f305]) ).
fof(f2830,definition,
( spl56_19
<=> ssList(app(sK53,cons(sK51,nil))) ),
introduced(definition,[new_symbols(definition,[spl56_19])],[avatar_definition]) ).
fof(f2831,plain,
( ssList(app(sK53,cons(sK51,nil)))
| ~ spl56_19 ),
inference(avatar_component_clause,[],[f2830]) ).
fof(f2832,plain,
( ~ ssList(app(sK53,cons(sK51,nil)))
| spl56_19 ),
inference(avatar_component_clause,[],[f2830]) ).
fof(f2834,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(sK53)
| spl56_19 ),
inference(resolution,[],[f2832,f317]) ).
fof(f2835,plain,
( ~ ssList(cons(sK51,nil))
| spl56_19 ),
inference(forward_subsumption_resolution,[],[f2834,f417]) ).
fof(f2837,definition,
( spl56_20
<=> ssList(cons(sK51,nil)) ),
introduced(definition,[new_symbols(definition,[spl56_20])],[avatar_definition]) ).
fof(f2838,plain,
( ssList(cons(sK51,nil))
| ~ spl56_20 ),
inference(avatar_component_clause,[],[f2837]) ).
fof(f2839,plain,
( ~ ssList(cons(sK51,nil))
| spl56_20 ),
inference(avatar_component_clause,[],[f2837]) ).
fof(f2841,definition,
( spl56_21
<=> segmentP(sK49,cons(sK51,nil)) ),
introduced(definition,[new_symbols(definition,[spl56_21])],[avatar_definition]) ).
fof(f2843,plain,
( segmentP(sK49,cons(sK51,nil))
| ~ spl56_21 ),
inference(avatar_component_clause,[],[f2841]) ).
fof(f2844,plain,
( ~ spl56_20
| spl56_21 ),
inference(avatar_split_clause,[],[f2435,f2841,f2837]) ).
fof(f2845,plain,
( ~ ssItem(sK51)
| ~ ssList(nil)
| spl56_20 ),
inference(resolution,[],[f2839,f304]) ).
fof(f2846,plain,
( ~ ssList(nil)
| spl56_20 ),
inference(forward_subsumption_resolution,[],[f2845,f421]) ).
fof(f2847,plain,
( $false
| spl56_20 ),
inference(forward_subsumption_resolution,[],[f2846,f305]) ).
fof(f2848,plain,
spl56_20,
inference(avatar_contradiction_clause,[],[f2847]) ).
fof(f2888,plain,
( $false
| spl56_19
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f2835,f2838]) ).
fof(f2889,plain,
( spl56_19
| ~ spl56_20 ),
inference(avatar_contradiction_clause,[],[f2888]) ).
fof(f3346,plain,
( segmentP(nil,cons(sK51,nil))
| ~ spl56_7
| ~ spl56_21 ),
inference(superposition,[],[f2843,f495]) ).
fof(f3406,plain,
( nil = cons(sK51,nil)
| ~ ssList(cons(sK51,nil))
| ~ spl56_7
| ~ spl56_21 ),
inference(resolution,[],[f3346,f360]) ).
fof(f3409,plain,
( ~ ssList(cons(sK51,nil))
| ~ spl56_7
| ~ spl56_21 ),
inference(forward_subsumption_resolution,[],[f3406,f633]) ).
fof(f3411,plain,
( $false
| ~ spl56_7
| ~ spl56_20
| ~ spl56_21 ),
inference(forward_subsumption_resolution,[],[f3409,f2838]) ).
fof(f3412,plain,
( ~ spl56_7
| ~ spl56_20
| ~ spl56_21 ),
inference(avatar_contradiction_clause,[],[f3411]) ).
fof(f3416,plain,
( sK49 = cons(sK52,nil)
| ~ spl56_2 ),
inference(forward_subsumption_resolution,[],[f419,f470]) ).
fof(f3432,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssItem(sK52)
| ~ ssList(nil)
| memberP(nil,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_2 ),
inference(superposition,[],[f332,f3416]) ).
fof(f3435,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| frontsegP(nil,X1)
| ~ ssItem(sK52) )
| ~ spl56_2 ),
inference(superposition,[],[f341,f3416]) ).
fof(f3437,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| sK52 = X0
| ~ ssItem(sK52) )
| ~ spl56_2 ),
inference(superposition,[],[f342,f3416]) ).
fof(f3472,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| sK52 = X0
| ~ ssItem(sK52) )
| ~ spl56_2 ),
inference(forward_subsumption_resolution,[],[f3437,f305]) ).
fof(f3474,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| frontsegP(nil,X1)
| ~ ssItem(sK52) )
| ~ spl56_2 ),
inference(forward_subsumption_resolution,[],[f3435,f305]) ).
fof(f3475,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssList(nil)
| memberP(nil,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_1
| ~ spl56_2 ),
inference(forward_subsumption_resolution,[],[f3432,f467]) ).
fof(f3499,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| sK52 = X0 )
| ~ spl56_1
| ~ spl56_2 ),
inference(forward_subsumption_resolution,[],[f3472,f467]) ).
fof(f3501,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| frontsegP(nil,X1) )
| ~ spl56_1
| ~ spl56_2 ),
inference(forward_subsumption_resolution,[],[f3474,f467]) ).
fof(f3502,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| memberP(nil,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_1
| ~ spl56_2 ),
inference(forward_subsumption_resolution,[],[f3475,f305]) ).
fof(f3509,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_1
| ~ spl56_2 ),
inference(forward_subsumption_resolution,[],[f3502,f335]) ).
fof(f3592,plain,
( nil = tl(sK49)
| ~ spl56_1
| ~ spl56_2 ),
inference(forward_demodulation,[],[f2696,f3416]) ).
fof(f4559,plain,
( ! [X0] :
( memberP(sK49,X0)
| ~ memberP(sK54,X0)
| ~ ssItem(X0) )
| ~ spl56_19 ),
inference(forward_subsumption_resolution,[],[f1395,f2831]) ).
fof(f4761,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sK49,X0)) = app(tl(sK49),X0) )
| spl56_7 ),
inference(forward_subsumption_resolution,[],[f1968,f494]) ).
fof(f4762,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = tl(app(sK49,X0)) )
| ~ spl56_1
| ~ spl56_2
| spl56_7 ),
inference(forward_demodulation,[],[f4761,f3592]) ).
fof(f4804,plain,
( app(nil,sK54) = tl(app(sK49,sK54))
| ~ spl56_1
| ~ spl56_2
| spl56_7 ),
inference(resolution,[],[f4762,f416]) ).
fof(f6463,plain,
( ! [X0] :
( ~ memberP(app(sK53,cons(sK51,nil)),X0)
| memberP(sK49,X0)
| ~ ssItem(X0) )
| ~ spl56_19 ),
inference(forward_subsumption_resolution,[],[f1410,f2831]) ).
fof(f6471,plain,
( memberP(sK49,sK51)
| ~ ssItem(sK51)
| ~ ssItem(sK51)
| ~ ssList(nil)
| ~ ssList(sK53)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl56_19 ),
inference(resolution,[],[f6463,f433]) ).
fof(f6472,plain,
( memberP(sK49,sK51)
| ~ ssItem(sK51)
| ~ ssList(nil)
| ~ ssList(sK53)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl56_19 ),
inference(duplicate_literal_removal,[],[f6471]) ).
fof(f6475,plain,
( memberP(sK49,sK51)
| ~ ssList(nil)
| ~ ssList(sK53)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl56_19 ),
inference(forward_subsumption_resolution,[],[f6472,f421]) ).
fof(f6478,plain,
( memberP(sK49,sK51)
| ~ ssList(sK53)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl56_19 ),
inference(forward_subsumption_resolution,[],[f6475,f305]) ).
fof(f6481,plain,
( memberP(sK49,sK51)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl56_19 ),
inference(forward_subsumption_resolution,[],[f6478,f417]) ).
fof(f6482,plain,
( memberP(sK49,sK51)
| ~ spl56_19 ),
inference(forward_subsumption_resolution,[],[f6481,f2831]) ).
fof(f6483,plain,
( sK51 = sK52
| ~ ssItem(sK51)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_19 ),
inference(resolution,[],[f6482,f3509]) ).
fof(f6486,plain,
( sK51 = sK52
| ~ spl56_1
| ~ spl56_2
| ~ spl56_19 ),
inference(forward_subsumption_resolution,[],[f6483,f421]) ).
fof(f6488,plain,
( ! [X0] :
( ~ frontsegP(app(sK53,cons(sK51,nil)),X0)
| ~ ssList(X0)
| frontsegP(sK49,X0) )
| ~ spl56_19 ),
inference(forward_subsumption_resolution,[],[f1444,f2831]) ).
fof(f6507,plain,
( sK49 = cons(sK51,nil)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_19 ),
inference(superposition,[],[f3416,f6486]) ).
fof(f6527,plain,
( ~ ssList(sK53)
| frontsegP(sK49,sK53)
| ~ ssList(cons(sK51,nil))
| ~ ssList(sK53)
| ~ spl56_19 ),
inference(resolution,[],[f6488,f1316]) ).
fof(f6535,plain,
( ~ ssList(sK53)
| frontsegP(sK49,sK53)
| ~ ssList(cons(sK51,nil))
| ~ spl56_19 ),
inference(duplicate_literal_removal,[],[f6527]) ).
fof(f6539,plain,
( frontsegP(sK49,sK53)
| ~ ssList(cons(sK51,nil))
| ~ spl56_19 ),
inference(forward_subsumption_resolution,[],[f6535,f417]) ).
fof(f6542,plain,
( frontsegP(sK49,sK53)
| ~ spl56_19
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f6539,f2838]) ).
fof(f8483,definition,
( spl56_24
<=> ssList(tl(sK53)) ),
introduced(definition,[new_symbols(definition,[spl56_24])],[avatar_definition]) ).
fof(f8484,plain,
( ssList(tl(sK53))
| ~ spl56_24 ),
inference(avatar_component_clause,[],[f8483]) ).
fof(f8485,plain,
( ~ ssList(tl(sK53))
| spl56_24 ),
inference(avatar_component_clause,[],[f8483]) ).
fof(f8501,plain,
( nil = sK53
| ~ ssList(sK53)
| spl56_24 ),
inference(resolution,[],[f8485,f315]) ).
fof(f8502,plain,
( ~ ssList(sK53)
| spl56_12
| spl56_24 ),
inference(forward_subsumption_resolution,[],[f8501,f1381]) ).
fof(f8503,plain,
( $false
| spl56_12
| spl56_24 ),
inference(forward_subsumption_resolution,[],[f8502,f417]) ).
fof(f8504,plain,
( spl56_12
| spl56_24 ),
inference(avatar_contradiction_clause,[],[f8503]) ).
fof(f8559,plain,
( sK49 = app(app(nil,cons(sK51,nil)),sK54)
| ~ spl56_12 ),
inference(superposition,[],[f431,f1382]) ).
fof(f8560,plain,
( memberP(nil,sK55)
| ~ spl56_5
| ~ spl56_12 ),
inference(superposition,[],[f485,f1382]) ).
fof(f8639,plain,
( sK54 = tl(app(sK49,sK54))
| ~ spl56_1
| ~ spl56_2
| spl56_7 ),
inference(forward_demodulation,[],[f4804,f525]) ).
fof(f8682,plain,
( sK49 = app(app(nil,sK49),sK54)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_12
| ~ spl56_19 ),
inference(forward_demodulation,[],[f8559,f6507]) ).
fof(f8722,plain,
( sK49 = app(sK49,sK54)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_12
| ~ spl56_19 ),
inference(forward_demodulation,[],[f8682,f522]) ).
fof(f8756,plain,
( ~ ssItem(sK55)
| ~ spl56_5
| ~ spl56_12 ),
inference(resolution,[],[f8560,f335]) ).
fof(f8759,plain,
( $false
| ~ spl56_5
| ~ spl56_12 ),
inference(forward_subsumption_resolution,[],[f8756,f414]) ).
fof(f8760,plain,
( ~ spl56_5
| ~ spl56_12 ),
inference(avatar_contradiction_clause,[],[f8759]) ).
fof(f8976,plain,
( sK53 = cons(hd(sK53),tl(sK53))
| spl56_12 ),
inference(forward_subsumption_resolution,[],[f1071,f1381]) ).
fof(f9014,plain,
( ~ frontsegP(sK49,sK53)
| ~ ssItem(hd(sK53))
| ~ ssList(tl(sK53))
| frontsegP(nil,tl(sK53))
| ~ spl56_1
| ~ spl56_2
| spl56_12 ),
inference(superposition,[],[f3501,f8976]) ).
fof(f9039,plain,
( ~ ssItem(hd(sK53))
| ~ ssList(tl(sK53))
| frontsegP(nil,tl(sK53))
| ~ spl56_1
| ~ spl56_2
| spl56_12
| ~ spl56_19
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f9014,f6542]) ).
fof(f9076,plain,
( ~ ssItem(hd(sK53))
| frontsegP(nil,tl(sK53))
| ~ spl56_1
| ~ spl56_2
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24 ),
inference(forward_subsumption_resolution,[],[f9039,f8484]) ).
fof(f11282,definition,
( spl56_26
<=> ssItem(hd(sK53)) ),
introduced(definition,[new_symbols(definition,[spl56_26])],[avatar_definition]) ).
fof(f11283,plain,
( ssItem(hd(sK53))
| ~ spl56_26 ),
inference(avatar_component_clause,[],[f11282]) ).
fof(f11284,plain,
( ~ ssItem(hd(sK53))
| spl56_26 ),
inference(avatar_component_clause,[],[f11282]) ).
fof(f11300,plain,
( nil = sK53
| ~ ssList(sK53)
| spl56_26 ),
inference(resolution,[],[f11284,f313]) ).
fof(f11301,plain,
( ~ ssList(sK53)
| spl56_12
| spl56_26 ),
inference(forward_subsumption_resolution,[],[f11300,f1381]) ).
fof(f11302,plain,
( $false
| spl56_12
| spl56_26 ),
inference(forward_subsumption_resolution,[],[f11301,f417]) ).
fof(f11303,plain,
( spl56_12
| spl56_26 ),
inference(avatar_contradiction_clause,[],[f11302]) ).
fof(f11334,plain,
( frontsegP(nil,tl(sK53))
| ~ spl56_1
| ~ spl56_2
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f9076,f11283]) ).
fof(f11339,plain,
( nil = tl(sK53)
| ~ ssList(tl(sK53))
| ~ spl56_1
| ~ spl56_2
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(resolution,[],[f11334,f346]) ).
fof(f11342,plain,
( nil = tl(sK53)
| ~ spl56_1
| ~ spl56_2
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f11339,f8484]) ).
fof(f11349,plain,
( sK53 = cons(hd(sK53),nil)
| ~ spl56_1
| ~ spl56_2
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(superposition,[],[f8976,f11342]) ).
fof(f11563,plain,
( ~ frontsegP(sK49,sK53)
| ~ ssItem(hd(sK53))
| ~ ssList(nil)
| sK52 = hd(sK53)
| ~ spl56_1
| ~ spl56_2
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(superposition,[],[f3499,f11349]) ).
fof(f11589,plain,
( ~ ssItem(hd(sK53))
| ~ ssList(nil)
| sK52 = hd(sK53)
| ~ spl56_1
| ~ spl56_2
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f11563,f6542]) ).
fof(f11634,plain,
( ~ ssList(nil)
| sK52 = hd(sK53)
| ~ spl56_1
| ~ spl56_2
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f11589,f11283]) ).
fof(f11662,plain,
( sK52 = hd(sK53)
| ~ spl56_1
| ~ spl56_2
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f11634,f305]) ).
fof(f11665,plain,
( sK51 = hd(sK53)
| ~ spl56_1
| ~ spl56_2
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_demodulation,[],[f11662,f6486]) ).
fof(f12054,plain,
( sK53 = cons(sK51,nil)
| ~ spl56_1
| ~ spl56_2
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(superposition,[],[f11349,f11665]) ).
fof(f12060,plain,
( sK49 = sK53
| ~ spl56_1
| ~ spl56_2
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_demodulation,[],[f12054,f6507]) ).
fof(f12068,plain,
( memberP(sK49,sK55)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(superposition,[],[f485,f12060]) ).
fof(f12169,plain,
( sK52 = sK55
| ~ ssItem(sK55)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(resolution,[],[f12068,f3509]) ).
fof(f12172,plain,
( sK52 = sK55
| ~ spl56_1
| ~ spl56_2
| ~ spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f12169,f414]) ).
fof(f12174,plain,
( sK51 = sK55
| ~ spl56_1
| ~ spl56_2
| ~ spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(superposition,[],[f12172,f6486]) ).
fof(f12218,plain,
( ~ leq(sK55,sK55)
| ~ spl56_1
| ~ spl56_2
| spl56_3
| ~ spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(superposition,[],[f476,f12174]) ).
fof(f12309,plain,
( ~ ssItem(sK55)
| ~ spl56_1
| ~ spl56_2
| spl56_3
| ~ spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(resolution,[],[f12218,f322]) ).
fof(f12313,plain,
( $false
| ~ spl56_1
| ~ spl56_2
| spl56_3
| ~ spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f12309,f414]) ).
fof(f12314,plain,
( ~ spl56_1
| ~ spl56_2
| spl56_3
| ~ spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(avatar_contradiction_clause,[],[f12313]) ).
fof(f12315,plain,
( leq(sK55,sK55)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_3
| ~ spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_demodulation,[],[f475,f12174]) ).
fof(f12387,plain,
( ~ leq(sK55,sK55)
| ~ leq(sK55,sK51)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_demodulation,[],[f412,f12174]) ).
fof(f12392,plain,
( ~ leq(sK55,sK51)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_3
| ~ spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f12387,f12315]) ).
fof(f12397,plain,
( ~ leq(sK55,sK55)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_3
| ~ spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_demodulation,[],[f12392,f12174]) ).
fof(f12401,plain,
( $false
| ~ spl56_1
| ~ spl56_2
| ~ spl56_3
| ~ spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f12397,f12315]) ).
fof(f12402,plain,
( ~ spl56_1
| ~ spl56_2
| ~ spl56_3
| ~ spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(avatar_contradiction_clause,[],[f12401]) ).
fof(f12416,plain,
( ~ memberP(sK49,sK55)
| ~ spl56_1
| ~ spl56_2
| spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_demodulation,[],[f484,f12060]) ).
fof(f12420,plain,
( ~ memberP(sK54,sK55)
| ~ ssItem(sK55)
| ~ spl56_1
| ~ spl56_2
| spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(resolution,[],[f12416,f4559]) ).
fof(f12421,plain,
( ~ ssItem(sK55)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_4
| spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f12420,f480]) ).
fof(f12422,plain,
( $false
| ~ spl56_1
| ~ spl56_2
| ~ spl56_4
| spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f12421,f414]) ).
fof(f12423,plain,
( ~ spl56_1
| ~ spl56_2
| ~ spl56_4
| spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(avatar_contradiction_clause,[],[f12422]) ).
fof(f13203,plain,
( sK54 = tl(sK49)
| ~ spl56_1
| ~ spl56_2
| spl56_7
| ~ spl56_12
| ~ spl56_19 ),
inference(superposition,[],[f8639,f8722]) ).
fof(f13231,plain,
( nil = sK54
| ~ spl56_1
| ~ spl56_2
| spl56_7
| ~ spl56_12
| ~ spl56_19 ),
inference(forward_demodulation,[],[f13203,f3592]) ).
fof(f13237,plain,
( $false
| ~ spl56_1
| ~ spl56_2
| spl56_7
| ~ spl56_12
| spl56_14
| ~ spl56_19 ),
inference(forward_subsumption_resolution,[],[f13231,f1419]) ).
fof(f13238,plain,
( ~ spl56_1
| ~ spl56_2
| spl56_7
| ~ spl56_12
| spl56_14
| ~ spl56_19 ),
inference(avatar_contradiction_clause,[],[f13237]) ).
cnf(s1,plain,
( spl56_1
| ~ spl56_2 ),
inference(sat_conversion,[],[f472]) ).
cnf(s3,plain,
( spl56_4
| spl56_5 ),
inference(sat_conversion,[],[f486]) ).
cnf(s5,plain,
( spl56_7
| ~ spl56_8 ),
inference(sat_conversion,[],[f500]) ).
cnf(s7,plain,
( spl56_2
| spl56_8 ),
inference(sat_conversion,[],[f684]) ).
cnf(s13,plain,
( ~ spl56_4
| ~ spl56_14 ),
inference(sat_conversion,[],[f1647]) ).
cnf(s18,plain,
( ~ spl56_20
| spl56_21 ),
inference(sat_conversion,[],[f2844]) ).
cnf(s19,plain,
spl56_20,
inference(sat_conversion,[],[f2848]) ).
cnf(s20,plain,
( spl56_19
| ~ spl56_20 ),
inference(sat_conversion,[],[f2889]) ).
cnf(s24,plain,
( ~ spl56_7
| ~ spl56_20
| ~ spl56_21 ),
inference(sat_conversion,[],[f3412]) ).
cnf(s26,plain,
( spl56_12
| spl56_24 ),
inference(sat_conversion,[],[f8504]) ).
cnf(s28,plain,
( ~ spl56_5
| ~ spl56_12 ),
inference(sat_conversion,[],[f8760]) ).
cnf(s30,plain,
( spl56_12
| spl56_26 ),
inference(sat_conversion,[],[f11303]) ).
cnf(s32,plain,
( ~ spl56_1
| ~ spl56_2
| spl56_3
| ~ spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(sat_conversion,[],[f12314]) ).
cnf(s34,plain,
( ~ spl56_1
| ~ spl56_2
| ~ spl56_3
| ~ spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(sat_conversion,[],[f12402]) ).
cnf(s35,plain,
( ~ spl56_1
| ~ spl56_2
| ~ spl56_4
| spl56_5
| spl56_12
| ~ spl56_19
| ~ spl56_20
| ~ spl56_24
| ~ spl56_26 ),
inference(sat_conversion,[],[f12423]) ).
cnf(s38,plain,
( ~ spl56_1
| ~ spl56_2
| spl56_7
| ~ spl56_12
| spl56_14
| ~ spl56_19 ),
inference(sat_conversion,[],[f13238]) ).
cnf(s39,plain,
spl56_19,
inference(rat,[],[s20,s19]) ).
cnf(s40,plain,
spl56_21,
inference(rat,[],[s18,s19]) ).
cnf(s41,plain,
~ spl56_7,
inference(rat,[],[s24,s19,s40]) ).
cnf(s43,plain,
~ spl56_8,
inference(rat,[],[s5,s41]) ).
cnf(s44,plain,
spl56_2,
inference(rat,[],[s7,s43]) ).
cnf(s45,plain,
spl56_1,
inference(rat,[],[s1,s44]) ).
cnf(s48,plain,
( ~ spl56_5
| spl56_3 ),
inference(rat,[],[s32,s26,s30,s28,s44,s45,s39,s19]) ).
cnf(s49,plain,
spl56_5,
inference(rat,[],[s35,s26,s30,s38,s13,s3,s44,s45,s39,s19,s41]) ).
cnf(s50,plain,
~ spl56_12,
inference(rat,[],[s28,s49]) ).
cnf(s51,plain,
spl56_3,
inference(rat,[],[s48,s49]) ).
cnf(s52,plain,
spl56_26,
inference(rat,[],[s30,s50]) ).
cnf(s53,plain,
spl56_24,
inference(rat,[],[s26,s50]) ).
cnf(s57,plain,
$false,
inference(rat,[],[s34,s52,s49,s19,s39,s50,s45,s44,s53,s51]) ).
fof(f13239,plain,
$false,
inference(avatar_sat_refutation,[],[s57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC284+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20 % Computer : n008.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Mon Sep 28 08:52:39 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24 Running first-order model finding
% 0.10/0.24 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
% 8.76/1.62 % (2108967)Will run a generic schedule for satisfiability detection.
% 8.76/1.62 % (2108976)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2125491123:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.76/1.62 % (2108973)% WARNING: option uhcvi not known.
% 8.76/1.62 % (2108972)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=726734301_2999 on theBenchmark for (2999ds/0Mi)
% 8.76/1.62 % (2108973)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2574737009:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.76/1.62 % (2108974)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3584276518:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.76/1.62 % (2108977)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=180906408:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.76/1.62 % (2108975)dis+10_1_sil=32000:sp=arity:random_seed=4131730733:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.76/1.62 % (2108978)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4138437977:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.76/1.62 % TRYING [1]
% 8.76/1.62 % TRYING [2]
% 8.76/1.62 % TRYING [3]
% 8.76/1.62 % (2108976)Instruction limit reached!
% 8.76/1.62 % (2108976)------------------------------
% 8.76/1.62 % (2108976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.76/1.62 % (2108976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.62 % (2108976)CaDiCaL version: 2.1.3
% 8.76/1.62 % (2108976)Termination reason: Instruction limit
% 8.76/1.62 % (2108976)Termination phase: Saturation
% 8.76/1.62 % (2108976)Time elapsed: 0.037 s
% 8.76/1.62 % (2108976)Peak memory usage: 13 MB
% 8.76/1.62 % (2108976)Instructions burned: 116 (million)
% 8.76/1.62 % TRYING [4]
% 8.76/1.62 % (2108986)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2397852594:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.76/1.62 % TRYING [1]
% 8.76/1.62 % TRYING [2]
% 8.76/1.62 % TRYING [3]
% 8.76/1.62 % TRYING [4]
% 8.76/1.62 % (2108975)Instruction limit reached!
% 8.76/1.62 % (2108975)------------------------------
% 8.76/1.62 % (2108975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.76/1.62 % (2108975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.62 % (2108975)CaDiCaL version: 2.1.3
% 8.76/1.62 % (2108975)Termination reason: Instruction limit
% 8.76/1.62 % (2108975)Termination phase: Saturation
% 8.76/1.62 % (2108975)Time elapsed: 0.064 s
% 8.76/1.62 % (2108975)Peak memory usage: 13 MB
% 8.76/1.62 % (2108975)Instructions burned: 104 (million)
% 8.76/1.62 % (2108977)Instruction limit reached!
% 8.76/1.62 % (2108977)------------------------------
% 8.76/1.62 % (2108977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.76/1.62 % (2108977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.62 % (2108977)CaDiCaL version: 2.1.3
% 8.76/1.62 % (2108977)Termination reason: Instruction limit
% 8.76/1.62 % (2108977)Termination phase: Saturation
% 8.76/1.62 % (2108977)Time elapsed: 0.076 s
% 8.76/1.62 % (2108977)Peak memory usage: 14 MB
% 8.76/1.62 % (2108977)Instructions burned: 132 (million)
% 8.76/1.62 % (2108988)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2876508543:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.76/1.62 % TRYING [5]
% 8.76/1.62 % TRYING [5]
% 8.76/1.62 % (2108989)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=3593559087:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.76/1.62 % (2108978)Instruction limit reached!
% 8.76/1.62 % (2108978)------------------------------
% 8.76/1.62 % (2108978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.76/1.62 % (2108978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.62 % (2108978)CaDiCaL version: 2.1.3
% 8.76/1.62 % (2108978)Termination reason: Instruction limit
% 8.76/1.62 % (2108978)Termination phase: Saturation
% 8.76/1.62 % (2108978)Time elapsed: 0.099 s
% 8.76/1.62 % (2108978)Peak memory usage: 14 MB
% 8.76/1.62 % (2108978)Instructions burned: 160 (million)
% 8.76/1.62 % (2108992)ott-21_1_sil=16000:fs=off:random_seed=1280321084:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.76/1.62 % (2108988)Instruction limit reached!
% 8.76/1.62 % (2108988)------------------------------
% 8.76/1.62 % (2108988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.76/1.62 % (2108988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.62 % (2108988)CaDiCaL version: 2.1.3
% 8.76/1.62 % (2108988)Termination reason: Instruction limit
% 8.76/1.62 % (2108988)Termination phase: Saturation
% 8.76/1.62 % (2108988)Time elapsed: 0.070 s
% 8.76/1.62 % (2108988)Peak memory usage: 13 MB
% 8.76/1.62 % (2108988)Instructions burned: 132 (million)
% 8.76/1.62 % (2108994)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2804658482:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.76/1.62 % TRYING [6]
% 8.76/1.62 % (2108986)Instruction limit reached!
% 8.76/1.62 % (2108986)------------------------------
% 8.76/1.62 % (2108986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.76/1.62 % (2108986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.62 % (2108986)CaDiCaL version: 2.1.3
% 8.76/1.62 % (2108986)Termination reason: Instruction limit
% 8.76/1.62 % (2108986)Termination phase: Finite model building constraint generation
% 8.76/1.62 % (2108986)Time elapsed: 0.159 s
% 8.76/1.62 % (2108986)Peak memory usage: 28 MB
% 8.76/1.62 % (2108986)Instructions burned: 720 (million)
% 8.76/1.62 % (2108992)Instruction limit reached!
% 8.76/1.62 % (2108992)------------------------------
% 8.76/1.62 % (2108992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.76/1.62 % (2108992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.62 % (2108992)CaDiCaL version: 2.1.3
% 8.76/1.62 % (2108992)Termination reason: Instruction limit
% 8.76/1.62 % (2108992)Termination phase: Saturation
% 8.76/1.62 % (2108992)Time elapsed: 0.090 s
% 8.76/1.62 % (2108992)Peak memory usage: 13 MB
% 8.76/1.62 % (2108992)Instructions burned: 182 (million)
% 8.76/1.62 % (2108996)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=186330255:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.76/1.62 % TRYING [6]
% 8.76/1.62 % TRYING [1]
% 8.76/1.62 % TRYING [2]
% 8.76/1.62 % TRYING [3]
% 8.76/1.62 % (2108997)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=938772592:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 8.76/1.62 % TRYING [4]
% 8.76/1.62 % TRYING [5]
% 8.76/1.62 % (2108996)Instruction limit reached!
% 8.76/1.62 % (2108996)------------------------------
% 8.76/1.62 % (2108996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.76/1.62 % (2108996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.62 % (2108996)CaDiCaL version: 2.1.3
% 8.76/1.62 % (2108996)Termination reason: Instruction limit
% 8.76/1.62 % (2108996)Termination phase: Finite model building SAT solving
% 8.76/1.62 % (2108996)Time elapsed: 0.180 s
% 8.76/1.62 % (2108996)Peak memory usage: 22 MB
% 8.76/1.62 % (2108996)Instructions burned: 865 (million)
% 8.76/1.62 % (2109000)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3679979506:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 8.76/1.62 % TRYING [14]
% 8.76/1.62 % (2108989)Instruction limit reached!
% 8.76/1.62 % (2108989)------------------------------
% 8.76/1.62 % (2108989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.76/1.62 % (2108989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.62 % (2108989)CaDiCaL version: 2.1.3
% 8.76/1.62 % (2108989)Termination reason: Instruction limit
% 8.76/1.62 % (2108989)Termination phase: Saturation
% 8.76/1.62 % (2108989)Time elapsed: 0.370 s
% 8.76/1.62 % (2108989)Peak memory usage: 22 MB
% 8.76/1.62 % (2108989)Instructions burned: 685 (million)
% 8.76/1.62 % (2109002)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=4194358195: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)
% 8.76/1.62 % TRYING [7]
% 8.76/1.62 % (2108994)Instruction limit reached!
% 8.76/1.62 % (2108994)------------------------------
% 8.76/1.62 % (2108994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.76/1.62 % (2108994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.62 % (2108994)CaDiCaL version: 2.1.3
% 8.76/1.62 % (2108994)Termination reason: Instruction limit
% 8.76/1.62 % (2108994)Termination phase: Saturation
% 8.76/1.62 % (2108994)Time elapsed: 0.339 s
% 8.76/1.62 % (2108994)Peak memory usage: 15 MB
% 8.76/1.62 % (2108994)Instructions burned: 478 (million)
% 8.76/1.62 % (2109004)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1248601688:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 8.76/1.62 % (2109000)Instruction limit reached!
% 8.76/1.62 % (2109000)------------------------------
% 8.76/1.62 % (2109000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.76/1.62 % (2109000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.62 % (2109000)CaDiCaL version: 2.1.3
% 8.76/1.62 % (2109000)Termination reason: Instruction limit
% 8.76/1.62 % (2109000)Termination phase: Finite model building constraint generation
% 8.76/1.62 % (2109000)Time elapsed: 0.176 s
% 8.76/1.62 % (2109000)Peak memory usage: 70 MB
% 8.76/1.62 % (2109000)Instructions burned: 893 (million)
% 8.76/1.62 % (2109006)fmb+10_1_sil=64000:random_seed=3414827608:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 8.76/1.62 % TRYING [1]
% 8.76/1.62 % TRYING [2]
% 8.76/1.62 % TRYING [3]
% 8.76/1.62 % TRYING [4]
% 8.76/1.62 % TRYING [5]
% 8.76/1.62 % (2109002)Instruction limit reached!
% 8.76/1.62 % (2109002)------------------------------
% 8.76/1.62 % (2109002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.76/1.62 % (2109002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.62 % (2109002)CaDiCaL version: 2.1.3
% 8.76/1.62 % (2109002)Termination reason: Instruction limit
% 8.76/1.62 % (2109002)Termination phase: Saturation
% 8.76/1.62 % (2109002)Time elapsed: 0.375 s
% 8.76/1.62 % (2109002)Peak memory usage: 22 MB
% 8.76/1.62 % (2109002)Instructions burned: 692 (million)
% 8.76/1.62 % TRYING [6]
% 8.76/1.62 % (2108997)Instruction limit reached!
% 8.76/1.62 % (2108997)------------------------------
% 8.76/1.62 % (2108997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.76/1.62 % (2108997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.62 % (2108997)CaDiCaL version: 2.1.3
% 8.76/1.62 % (2108997)Termination reason: Instruction limit
% 8.76/1.62 % (2108997)Termination phase: Saturation
% 8.76/1.62 % (2108997)Time elapsed: 0.641 s
% 8.76/1.62 % (2108997)Peak memory usage: 24 MB
% 8.76/1.62 % (2108997)Instructions burned: 1179 (million)
% 8.76/1.62 % (2109008)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=722686878:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 8.76/1.62 % (2109009)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4258611059:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 8.76/1.62 % TRYING [20]
% 8.76/1.62 % TRYING [8]
% 8.76/1.62 % (2109004)Instruction limit reached!
% 8.76/1.62 % (2109004)------------------------------
% 8.76/1.62 % (2109004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.76/1.62 % (2109004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.62 % (2109004)CaDiCaL version: 2.1.3
% 8.76/1.62 % (2109004)Termination reason: Instruction limit
% 8.76/1.62 % (2109004)Termination phase: Saturation
% 8.76/1.62 % (2109004)Time elapsed: 0.459 s
% 8.76/1.62 % (2109004)Peak memory usage: 20 MB
% 8.76/1.62 % (2109004)Instructions burned: 880 (million)
% 8.76/1.62 % (2109012)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1594138932:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 8.76/1.62 % TRYING [8]
% 8.76/1.62 % (2109009)Instruction limit reached!
% 8.76/1.62 % (2109009)------------------------------
% 8.76/1.62 % (2109009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.76/1.62 % (2109009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.62 % (2109009)CaDiCaL version: 2.1.3
% 8.76/1.62 % (2109009)Termination reason: Instruction limit
% 8.76/1.62 % (2109009)Termination phase: Finite model building constraint generation
% 8.76/1.62 % (2109009)Time elapsed: 0.339 s
% 8.76/1.62 % (2109009)Peak memory usage: 69 MB
% 8.76/1.62 % (2109009)Instructions burned: 920 (million)
% 8.76/1.62 % TRYING [7]
% 8.76/1.62 % (2109014)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2884691711:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 8.76/1.62 % (2109012) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2108967-2109012"...
% 8.76/1.62 % (2109012)...printing done.
% 8.76/1.62 % (2109012)Refutation found. Thanks to Tanya!
% 8.76/1.62 % SZS status Theorem for theBenchmark
% 8.76/1.62 % SZS output start Proof for theBenchmark
% See solution above
% 8.76/1.62 % (2109012)------------------------------
% 8.76/1.62 % (2109012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.76/1.62 % (2109012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/1.62 % (2109012)CaDiCaL version: 2.1.3
% 8.76/1.62 % (2109012)Termination reason: Refutation
% 8.76/1.62 % (2109012)Time elapsed: 0.290 s
% 8.76/1.62 % (2109012)Peak memory usage: 17 MB
% 8.76/1.62 % (2109012)Instructions burned: 543 (million)
% 8.76/1.62 % (2108967)Success in time 1.372 s
% 8.76/1.62 % Vampire exiting
%------------------------------------------------------------------------------