%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC183+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 01:05:00 PM UTC 2026
% Result : Theorem 18.94s 3.40s
% Output : Refutation 18.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 42
% Syntax : Number of formulae : 341 ( 29 unt; 18 def)
% Number of atoms : 1235 ( 179 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 1534 ( 640 ~; 761 |; 44 &)
% ( 32 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 19 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 247 ( 0 sgn 221 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax20) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax44) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax45) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox/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
| ( ~ memberP(X5,X4)
& ~ memberP(X6,X4) ) ) ) )
| ( ! [X7] :
( ~ ssItem(X7)
| cons(X7,nil) != X2
| ~ memberP(X3,X7)
| ? [X8] :
( ssItem(X8)
& X7 != X8
& memberP(X3,X8)
& leq(X7,X8) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/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
| ( ~ memberP(X5,X4)
& ~ memberP(X6,X4) ) ) ) )
| ( ! [X7] :
( ~ ssItem(X7)
| cons(X7,nil) != X2
| ~ memberP(X3,X7)
| ? [X8] :
( ssItem(X8)
& X7 != X8
& memberP(X3,X8)
& leq(X7,X8) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(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(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(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(f157,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f45]) ).
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(f198,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
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
& ( memberP(X5,X4)
| memberP(X6,X4) ) )
& ssList(X5) )
& ssItem(X4) )
& ( ? [X7] :
( ssItem(X7)
& cons(X7,nil) = X2
& memberP(X3,X7)
& ! [X8] :
( ~ ssItem(X8)
| X7 = X8
| ~ memberP(X3,X8)
| ~ leq(X7,X8) ) )
| ( nil = X3
& nil = X2 ) ) )
& 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(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(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(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(f334,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1
| memberP(cons(X1,X2),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(f343,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X2,X3)
| X0 != X1
| frontsegP(cons(X0,X2),cons(X1,X3)) ),
inference(cnf_transformation,[],[f156]) ).
fof(f344,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f157]) ).
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(f391,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f398,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f410,plain,
( memberP(sK54,sK51)
| memberP(sK53,sK51) ),
inference(cnf_transformation,[],[f221]) ).
fof(f411,plain,
sK47 = app(app(sK53,cons(sK51,nil)),sK54),
inference(cnf_transformation,[],[f221]) ).
fof(f412,plain,
ssList(sK54),
inference(cnf_transformation,[],[f221]) ).
fof(f415,plain,
ssList(sK53),
inference(cnf_transformation,[],[f221]) ).
fof(f417,plain,
( nil = sK50
| sK49 = cons(sK52,nil) ),
inference(cnf_transformation,[],[f221]) ).
fof(f419,plain,
( nil = sK49
| memberP(sK50,sK52) ),
inference(cnf_transformation,[],[f221]) ).
fof(f421,plain,
( nil = sK49
| ssItem(sK52) ),
inference(cnf_transformation,[],[f221]) ).
fof(f422,plain,
ssItem(sK51),
inference(cnf_transformation,[],[f221]) ).
fof(f423,plain,
sK47 = sK49,
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,[],[f411,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(f447,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f334]) ).
fof(f448,plain,
! [X2,X3,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X2,X3)
| frontsegP(cons(X1,X2),cons(X1,X3)) ),
inference(equality_resolution,[],[f343]) ).
fof(f459,plain,
! [X2,X3,X1] :
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X2,X3)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f448]) ).
fof(f460,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f447]) ).
fof(f465,definition,
( spl55_1
<=> ssItem(sK52) ),
introduced(definition,[new_symbols(definition,[spl55_1])],[avatar_definition]) ).
fof(f467,plain,
( ssItem(sK52)
| ~ spl55_1 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f469,definition,
( spl55_2
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl55_2])],[avatar_definition]) ).
fof(f470,plain,
( nil != sK50
| spl55_2 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f471,plain,
( nil = sK50
| ~ spl55_2 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f475,definition,
( spl55_3
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl55_3])],[avatar_definition]) ).
fof(f476,plain,
( nil != sK49
| spl55_3 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f477,plain,
( nil = sK49
| ~ spl55_3 ),
inference(avatar_component_clause,[],[f475]) ).
fof(f478,plain,
( spl55_1
| spl55_3 ),
inference(avatar_split_clause,[],[f421,f475,f465]) ).
fof(f480,definition,
( spl55_4
<=> memberP(sK53,sK51) ),
introduced(definition,[new_symbols(definition,[spl55_4])],[avatar_definition]) ).
fof(f481,plain,
( ~ memberP(sK53,sK51)
| spl55_4 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f482,plain,
( memberP(sK53,sK51)
| ~ spl55_4 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f484,definition,
( spl55_5
<=> memberP(sK54,sK51) ),
introduced(definition,[new_symbols(definition,[spl55_5])],[avatar_definition]) ).
fof(f486,plain,
( memberP(sK54,sK51)
| ~ spl55_5 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f487,plain,
( spl55_4
| spl55_5 ),
inference(avatar_split_clause,[],[f410,f484,f480]) ).
fof(f488,plain,
( memberP(nil,sK52)
| nil = sK49
| ~ spl55_2 ),
inference(forward_demodulation,[],[f419,f471]) ).
fof(f490,definition,
( spl55_6
<=> memberP(nil,sK52) ),
introduced(definition,[new_symbols(definition,[spl55_6])],[avatar_definition]) ).
fof(f492,plain,
( memberP(nil,sK52)
| ~ spl55_6 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f493,plain,
( spl55_3
| spl55_6
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f488,f469,f490,f475]) ).
fof(f526,plain,
sK49 = app(nil,sK49),
inference(resolution,[],[f319,f426]) ).
fof(f529,plain,
sK54 = app(nil,sK54),
inference(resolution,[],[f319,f412]) ).
fof(f633,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK51,X0) != X0 ),
inference(resolution,[],[f306,f422]) ).
fof(f634,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sK52,X0) != X0 )
| ~ spl55_1 ),
inference(resolution,[],[f306,f467]) ).
fof(f765,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| tl(cons(sK44(X0),X1)) = X1
| nil = X0 ),
inference(resolution,[],[f316,f310]) ).
fof(f768,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sK52,X0)) = X0 )
| ~ spl55_1 ),
inference(resolution,[],[f316,f467]) ).
fof(f795,plain,
( sK49 != cons(sK52,sK49)
| ~ spl55_1 ),
inference(resolution,[],[f634,f426]) ).
fof(f1049,plain,
( sK53 = cons(sK44(sK53),sK43(sK53))
| nil = sK53 ),
inference(resolution,[],[f309,f415]) ).
fof(f1086,plain,
( nil = sK53
| sK53 = cons(hd(sK53),tl(sK53)) ),
inference(resolution,[],[f388,f415]) ).
fof(f1264,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sK52,X0) = app(cons(sK52,nil),X0) )
| ~ spl55_1 ),
inference(resolution,[],[f391,f467]) ).
fof(f1294,definition,
( spl55_9
<=> nil = sK53 ),
introduced(definition,[new_symbols(definition,[spl55_9])],[avatar_definition]) ).
fof(f1295,plain,
( nil != sK53
| spl55_9 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f1296,plain,
( nil = sK53
| ~ spl55_9 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f1298,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f435,f317]) ).
fof(f1301,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(app(X1,X0))
| ~ ssList(X1)
| app(X1,X0) = X1 ),
inference(resolution,[],[f1298,f338]) ).
fof(f1302,plain,
( frontsegP(sK49,app(sK53,cons(sK51,nil)))
| ~ ssList(sK54)
| ~ ssList(app(sK53,cons(sK51,nil))) ),
inference(superposition,[],[f1298,f431]) ).
fof(f1309,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(app(X1,X0))
| app(X1,X0) = X1 ),
inference(duplicate_literal_removal,[],[f1301]) ).
fof(f1311,plain,
( frontsegP(sK49,app(sK53,cons(sK51,nil)))
| ~ ssList(app(sK53,cons(sK51,nil))) ),
inference(forward_subsumption_resolution,[],[f1302,f412]) ).
fof(f1312,plain,
! [X0,X1] :
( ~ frontsegP(X1,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,X0) = X1 ),
inference(forward_subsumption_resolution,[],[f1309,f317]) ).
fof(f1320,definition,
( spl55_11
<=> nil = sK54 ),
introduced(definition,[new_symbols(definition,[spl55_11])],[avatar_definition]) ).
fof(f1321,plain,
( nil != sK54
| spl55_11 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f1322,plain,
( nil = sK54
| ~ spl55_11 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f1356,plain,
( memberP(nil,sK51)
| ~ spl55_4
| ~ spl55_9 ),
inference(superposition,[],[f482,f1296]) ).
fof(f1375,plain,
( ~ ssItem(sK51)
| ~ spl55_4
| ~ spl55_9 ),
inference(resolution,[],[f1356,f335]) ).
fof(f1376,plain,
( $false
| ~ spl55_4
| ~ spl55_9 ),
inference(forward_subsumption_resolution,[],[f1375,f422]) ).
fof(f1377,plain,
( ~ spl55_4
| ~ spl55_9 ),
inference(avatar_contradiction_clause,[],[f1376]) ).
fof(f1390,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(f1397,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ memberP(app(sK53,cons(sK51,nil)),X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f1390,f412]) ).
fof(f1409,plain,
( memberP(nil,sK51)
| ~ spl55_5
| ~ spl55_11 ),
inference(superposition,[],[f486,f1322]) ).
fof(f1428,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(f1440,plain,
! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ frontsegP(app(sK53,cons(sK51,nil)),X0)
| ~ ssList(app(sK53,cons(sK51,nil))) ),
inference(forward_subsumption_resolution,[],[f1428,f412]) ).
fof(f1448,plain,
( ~ ssItem(sK51)
| ~ spl55_5
| ~ spl55_11 ),
inference(resolution,[],[f1409,f335]) ).
fof(f1449,plain,
( $false
| ~ spl55_5
| ~ spl55_11 ),
inference(forward_subsumption_resolution,[],[f1448,f422]) ).
fof(f1450,plain,
( ~ spl55_5
| ~ spl55_11 ),
inference(avatar_contradiction_clause,[],[f1449]) ).
fof(f1723,plain,
nil != cons(sK51,nil),
inference(resolution,[],[f305,f633]) ).
fof(f1728,plain,
( nil = tl(cons(sK52,nil))
| ~ spl55_1 ),
inference(resolution,[],[f305,f768]) ).
fof(f1920,plain,
! [X0] :
( ~ ssList(X0)
| nil = sK49
| tl(app(sK49,X0)) = app(tl(sK49),X0) ),
inference(resolution,[],[f398,f426]) ).
fof(f2326,plain,
( segmentP(sK49,cons(sK51,nil))
| ~ ssList(cons(sK51,nil))
| ~ ssList(sK54)
| ~ ssList(sK53)
| ~ ssList(sK49) ),
inference(superposition,[],[f437,f431]) ).
fof(f2330,plain,
( segmentP(sK49,cons(sK51,nil))
| ~ ssList(cons(sK51,nil))
| ~ ssList(sK53)
| ~ ssList(sK49) ),
inference(forward_subsumption_resolution,[],[f2326,f412]) ).
fof(f2336,plain,
( segmentP(sK49,cons(sK51,nil))
| ~ ssList(cons(sK51,nil))
| ~ ssList(sK49) ),
inference(forward_subsumption_resolution,[],[f2330,f415]) ).
fof(f2341,plain,
( segmentP(sK49,cons(sK51,nil))
| ~ ssList(cons(sK51,nil)) ),
inference(forward_subsumption_resolution,[],[f2336,f426]) ).
fof(f2483,plain,
( ~ ssItem(sK52)
| ~ spl55_6 ),
inference(resolution,[],[f492,f335]) ).
fof(f2486,plain,
( $false
| ~ spl55_1
| ~ spl55_6 ),
inference(forward_subsumption_resolution,[],[f2483,f467]) ).
fof(f2487,plain,
( ~ spl55_1
| ~ spl55_6 ),
inference(avatar_contradiction_clause,[],[f2486]) ).
fof(f2608,plain,
( segmentP(nil,cons(sK51,nil))
| ~ ssList(cons(sK51,nil))
| ~ spl55_3 ),
inference(forward_demodulation,[],[f2341,f477]) ).
fof(f2610,definition,
( spl55_16
<=> ssList(app(sK53,cons(sK51,nil))) ),
introduced(definition,[new_symbols(definition,[spl55_16])],[avatar_definition]) ).
fof(f2611,plain,
( ssList(app(sK53,cons(sK51,nil)))
| ~ spl55_16 ),
inference(avatar_component_clause,[],[f2610]) ).
fof(f2612,plain,
( ~ ssList(app(sK53,cons(sK51,nil)))
| spl55_16 ),
inference(avatar_component_clause,[],[f2610]) ).
fof(f2618,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(sK53)
| spl55_16 ),
inference(resolution,[],[f2612,f317]) ).
fof(f2619,plain,
( ~ ssList(cons(sK51,nil))
| spl55_16 ),
inference(forward_subsumption_resolution,[],[f2618,f415]) ).
fof(f2621,definition,
( spl55_18
<=> ssList(cons(sK51,nil)) ),
introduced(definition,[new_symbols(definition,[spl55_18])],[avatar_definition]) ).
fof(f2622,plain,
( ssList(cons(sK51,nil))
| ~ spl55_18 ),
inference(avatar_component_clause,[],[f2621]) ).
fof(f2623,plain,
( ~ ssList(cons(sK51,nil))
| spl55_18 ),
inference(avatar_component_clause,[],[f2621]) ).
fof(f2625,definition,
( spl55_19
<=> segmentP(nil,cons(sK51,nil)) ),
introduced(definition,[new_symbols(definition,[spl55_19])],[avatar_definition]) ).
fof(f2627,plain,
( segmentP(nil,cons(sK51,nil))
| ~ spl55_19 ),
inference(avatar_component_clause,[],[f2625]) ).
fof(f2628,plain,
( ~ spl55_18
| spl55_19
| ~ spl55_3 ),
inference(avatar_split_clause,[],[f2608,f475,f2625,f2621]) ).
fof(f2629,plain,
( ~ ssItem(sK51)
| ~ ssList(nil)
| spl55_18 ),
inference(resolution,[],[f2623,f304]) ).
fof(f2630,plain,
( ~ ssList(nil)
| spl55_18 ),
inference(forward_subsumption_resolution,[],[f2629,f422]) ).
fof(f2631,plain,
( $false
| spl55_18 ),
inference(forward_subsumption_resolution,[],[f2630,f305]) ).
fof(f2632,plain,
spl55_18,
inference(avatar_contradiction_clause,[],[f2631]) ).
fof(f2670,plain,
( $false
| spl55_16
| ~ spl55_18 ),
inference(forward_subsumption_resolution,[],[f2619,f2622]) ).
fof(f2671,plain,
( spl55_16
| ~ spl55_18 ),
inference(avatar_contradiction_clause,[],[f2670]) ).
fof(f2676,plain,
( nil = cons(sK51,nil)
| ~ ssList(cons(sK51,nil))
| ~ spl55_19 ),
inference(resolution,[],[f2627,f360]) ).
fof(f2679,plain,
( ~ ssList(cons(sK51,nil))
| ~ spl55_19 ),
inference(forward_subsumption_resolution,[],[f2676,f1723]) ).
fof(f2681,plain,
( $false
| ~ spl55_18
| ~ spl55_19 ),
inference(forward_subsumption_resolution,[],[f2679,f2622]) ).
fof(f2682,plain,
( ~ spl55_18
| ~ spl55_19 ),
inference(avatar_contradiction_clause,[],[f2681]) ).
fof(f2688,plain,
( sK49 = cons(sK52,nil)
| spl55_2 ),
inference(forward_subsumption_resolution,[],[f417,f470]) ).
fof(f2689,plain,
( nil = tl(sK49)
| ~ spl55_1
| spl55_2 ),
inference(superposition,[],[f1728,f2688]) ).
fof(f2706,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssItem(sK52)
| ~ ssList(nil)
| memberP(nil,X0)
| sK52 = X0
| ~ ssItem(X0) )
| spl55_2 ),
inference(superposition,[],[f332,f2688]) ).
fof(f2724,plain,
( ! [X0] :
( frontsegP(cons(sK52,X0),sK49)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ frontsegP(X0,nil)
| ~ ssItem(sK52) )
| spl55_2 ),
inference(superposition,[],[f459,f2688]) ).
fof(f2733,plain,
( ! [X0] :
( frontsegP(cons(sK52,X0),sK49)
| ~ ssList(X0)
| ~ frontsegP(X0,nil)
| ~ ssItem(sK52) )
| spl55_2 ),
inference(forward_subsumption_resolution,[],[f2724,f305]) ).
fof(f2749,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssList(nil)
| memberP(nil,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl55_1
| spl55_2 ),
inference(forward_subsumption_resolution,[],[f2706,f467]) ).
fof(f2759,plain,
( ! [X0] :
( frontsegP(cons(sK52,X0),sK49)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) )
| ~ spl55_1
| spl55_2 ),
inference(forward_subsumption_resolution,[],[f2733,f467]) ).
fof(f2775,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| memberP(nil,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl55_1
| spl55_2 ),
inference(forward_subsumption_resolution,[],[f2749,f305]) ).
fof(f2781,plain,
( ! [X0] :
( frontsegP(cons(sK52,X0),sK49)
| ~ ssList(X0) )
| ~ spl55_1
| spl55_2 ),
inference(forward_subsumption_resolution,[],[f2759,f344]) ).
fof(f2782,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl55_1
| spl55_2 ),
inference(forward_subsumption_resolution,[],[f2775,f335]) ).
fof(f2974,plain,
( sK53 = cons(sK44(sK53),sK43(sK53))
| spl55_9 ),
inference(forward_subsumption_resolution,[],[f1049,f1295]) ).
fof(f3008,plain,
( memberP(sK53,sK44(sK53))
| ~ ssList(sK43(sK53))
| ~ ssItem(sK44(sK53))
| spl55_9 ),
inference(superposition,[],[f460,f2974]) ).
fof(f3051,plain,
( sK53 = cons(hd(sK53),tl(sK53))
| spl55_9 ),
inference(forward_subsumption_resolution,[],[f1086,f1295]) ).
fof(f3084,plain,
( memberP(sK53,hd(sK53))
| ~ ssList(tl(sK53))
| ~ ssItem(hd(sK53))
| spl55_9 ),
inference(superposition,[],[f460,f3051]) ).
fof(f3156,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sK52,X0) = app(sK49,X0) )
| ~ spl55_1
| spl55_2 ),
inference(forward_demodulation,[],[f1264,f2688]) ).
fof(f3217,plain,
( cons(sK52,sK49) = app(sK49,sK49)
| ~ spl55_1
| spl55_2 ),
inference(resolution,[],[f3156,f426]) ).
fof(f3974,plain,
( frontsegP(sK49,app(sK53,cons(sK51,nil)))
| ~ spl55_16 ),
inference(forward_subsumption_resolution,[],[f1311,f2611]) ).
fof(f4195,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sK49,X0)) = app(tl(sK49),X0) )
| spl55_3 ),
inference(forward_subsumption_resolution,[],[f1920,f476]) ).
fof(f4196,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = tl(app(sK49,X0)) )
| ~ spl55_1
| spl55_2
| spl55_3 ),
inference(forward_demodulation,[],[f4195,f2689]) ).
fof(f4237,plain,
( app(nil,sK54) = tl(app(sK49,sK54))
| ~ spl55_1
| spl55_2
| spl55_3 ),
inference(resolution,[],[f4196,f412]) ).
fof(f5719,plain,
( ! [X0] :
( ~ memberP(app(sK53,cons(sK51,nil)),X0)
| memberP(sK49,X0)
| ~ ssItem(X0) )
| ~ spl55_16 ),
inference(forward_subsumption_resolution,[],[f1397,f2611]) ).
fof(f5721,plain,
( ! [X0] :
( memberP(sK49,X0)
| ~ ssItem(X0)
| ~ ssList(sK53)
| ~ ssList(cons(sK51,nil))
| ~ memberP(sK53,X0)
| ~ ssItem(X0) )
| ~ spl55_16 ),
inference(resolution,[],[f5719,f331]) ).
fof(f5723,plain,
( memberP(sK49,sK51)
| ~ ssItem(sK51)
| ~ ssItem(sK51)
| ~ ssList(nil)
| ~ ssList(sK53)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl55_16 ),
inference(resolution,[],[f5719,f433]) ).
fof(f5724,plain,
( memberP(sK49,sK51)
| ~ ssItem(sK51)
| ~ ssList(nil)
| ~ ssList(sK53)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl55_16 ),
inference(duplicate_literal_removal,[],[f5723]) ).
fof(f5726,plain,
( ! [X0] :
( memberP(sK49,X0)
| ~ ssItem(X0)
| ~ ssList(sK53)
| ~ ssList(cons(sK51,nil))
| ~ memberP(sK53,X0) )
| ~ spl55_16 ),
inference(duplicate_literal_removal,[],[f5721]) ).
fof(f5727,plain,
( memberP(sK49,sK51)
| ~ ssList(nil)
| ~ ssList(sK53)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl55_16 ),
inference(forward_subsumption_resolution,[],[f5724,f422]) ).
fof(f5729,plain,
( ! [X0] :
( memberP(sK49,X0)
| ~ ssItem(X0)
| ~ ssList(cons(sK51,nil))
| ~ memberP(sK53,X0) )
| ~ spl55_16 ),
inference(forward_subsumption_resolution,[],[f5726,f415]) ).
fof(f5730,plain,
( memberP(sK49,sK51)
| ~ ssList(sK53)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl55_16 ),
inference(forward_subsumption_resolution,[],[f5727,f305]) ).
fof(f5732,plain,
( ! [X0] :
( memberP(sK49,X0)
| ~ ssItem(X0)
| ~ memberP(sK53,X0) )
| ~ spl55_16
| ~ spl55_18 ),
inference(forward_subsumption_resolution,[],[f5729,f2622]) ).
fof(f5733,plain,
( memberP(sK49,sK51)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl55_16 ),
inference(forward_subsumption_resolution,[],[f5730,f415]) ).
fof(f5734,plain,
( memberP(sK49,sK51)
| ~ spl55_16 ),
inference(forward_subsumption_resolution,[],[f5733,f2611]) ).
fof(f5735,plain,
( sK51 = sK52
| ~ ssItem(sK51)
| ~ spl55_1
| spl55_2
| ~ spl55_16 ),
inference(resolution,[],[f5734,f2782]) ).
fof(f5738,plain,
( sK51 = sK52
| ~ spl55_1
| spl55_2
| ~ spl55_16 ),
inference(forward_subsumption_resolution,[],[f5735,f422]) ).
fof(f5740,plain,
( ! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ frontsegP(app(sK53,cons(sK51,nil)),X0) )
| ~ spl55_16 ),
inference(forward_subsumption_resolution,[],[f1440,f2611]) ).
fof(f5815,plain,
( ! [X0] :
( ~ frontsegP(app(sK53,cons(sK52,nil)),X0)
| frontsegP(sK49,X0)
| ~ ssList(X0) )
| ~ spl55_1
| spl55_2
| ~ spl55_16 ),
inference(forward_demodulation,[],[f5740,f5738]) ).
fof(f5816,plain,
( ! [X0] :
( ~ frontsegP(app(sK53,sK49),X0)
| frontsegP(sK49,X0)
| ~ ssList(X0) )
| ~ spl55_1
| spl55_2
| ~ spl55_16 ),
inference(forward_demodulation,[],[f5815,f2688]) ).
fof(f5820,plain,
( frontsegP(sK49,sK53)
| ~ ssList(sK53)
| ~ ssList(sK49)
| ~ ssList(sK53)
| ~ spl55_1
| spl55_2
| ~ spl55_16 ),
inference(resolution,[],[f5816,f1298]) ).
fof(f5828,plain,
( frontsegP(sK49,sK53)
| ~ ssList(sK53)
| ~ ssList(sK49)
| ~ spl55_1
| spl55_2
| ~ spl55_16 ),
inference(duplicate_literal_removal,[],[f5820]) ).
fof(f5831,plain,
( frontsegP(sK49,sK53)
| ~ ssList(sK49)
| ~ spl55_1
| spl55_2
| ~ spl55_16 ),
inference(forward_subsumption_resolution,[],[f5828,f415]) ).
fof(f5833,plain,
( frontsegP(sK49,sK53)
| ~ spl55_1
| spl55_2
| ~ spl55_16 ),
inference(forward_subsumption_resolution,[],[f5831,f426]) ).
fof(f6127,definition,
( spl55_20
<=> ssList(tl(sK53)) ),
introduced(definition,[new_symbols(definition,[spl55_20])],[avatar_definition]) ).
fof(f6128,plain,
( ssList(tl(sK53))
| ~ spl55_20 ),
inference(avatar_component_clause,[],[f6127]) ).
fof(f6129,plain,
( ~ ssList(tl(sK53))
| spl55_20 ),
inference(avatar_component_clause,[],[f6127]) ).
fof(f6131,definition,
( spl55_21
<=> frontsegP(sK53,sK49) ),
introduced(definition,[new_symbols(definition,[spl55_21])],[avatar_definition]) ).
fof(f6132,plain,
( ~ frontsegP(sK53,sK49)
| spl55_21 ),
inference(avatar_component_clause,[],[f6131]) ).
fof(f6133,plain,
( frontsegP(sK53,sK49)
| ~ spl55_21 ),
inference(avatar_component_clause,[],[f6131]) ).
fof(f6141,plain,
( nil = sK53
| ~ ssList(sK53)
| spl55_20 ),
inference(resolution,[],[f6129,f315]) ).
fof(f6142,plain,
( ~ ssList(sK53)
| spl55_9
| spl55_20 ),
inference(forward_subsumption_resolution,[],[f6141,f1295]) ).
fof(f6143,plain,
( $false
| spl55_9
| spl55_20 ),
inference(forward_subsumption_resolution,[],[f6142,f415]) ).
fof(f6144,plain,
( spl55_9
| spl55_20 ),
inference(avatar_contradiction_clause,[],[f6143]) ).
fof(f6283,plain,
( ~ frontsegP(sK49,sK53)
| ~ ssList(sK53)
| ~ ssList(sK49)
| sK49 = sK53
| ~ spl55_21 ),
inference(resolution,[],[f6133,f338]) ).
fof(f6284,plain,
( ~ ssList(sK53)
| ~ ssList(sK49)
| sK49 = sK53
| ~ spl55_1
| spl55_2
| ~ spl55_16
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f6283,f5833]) ).
fof(f6287,plain,
( ~ ssList(sK49)
| sK49 = sK53
| ~ spl55_1
| spl55_2
| ~ spl55_16
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f6284,f415]) ).
fof(f6290,plain,
( sK49 = sK53
| ~ spl55_1
| spl55_2
| ~ spl55_16
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f6287,f426]) ).
fof(f6345,plain,
( frontsegP(sK49,app(sK49,cons(sK51,nil)))
| ~ spl55_1
| spl55_2
| ~ spl55_16
| ~ spl55_21 ),
inference(superposition,[],[f3974,f6290]) ).
fof(f6363,plain,
( frontsegP(sK49,app(sK49,cons(sK52,nil)))
| ~ spl55_1
| spl55_2
| ~ spl55_16
| ~ spl55_21 ),
inference(forward_demodulation,[],[f6345,f5738]) ).
fof(f6375,plain,
( frontsegP(sK49,app(sK49,sK49))
| ~ spl55_1
| spl55_2
| ~ spl55_16
| ~ spl55_21 ),
inference(forward_demodulation,[],[f6363,f2688]) ).
fof(f6382,plain,
( frontsegP(sK49,cons(sK52,sK49))
| ~ spl55_1
| spl55_2
| ~ spl55_16
| ~ spl55_21 ),
inference(forward_demodulation,[],[f6375,f3217]) ).
fof(f6601,plain,
( sK54 = tl(app(sK49,sK54))
| ~ spl55_1
| spl55_2
| spl55_3 ),
inference(forward_demodulation,[],[f4237,f529]) ).
fof(f11785,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ memberP(sK53,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl55_1
| spl55_2
| ~ spl55_16
| ~ spl55_18 ),
inference(resolution,[],[f5732,f2782]) ).
fof(f11788,plain,
( ! [X0] :
( ~ memberP(sK53,X0)
| ~ ssItem(X0)
| sK52 = X0 )
| ~ spl55_1
| spl55_2
| ~ spl55_16
| ~ spl55_18 ),
inference(duplicate_literal_removal,[],[f11785]) ).
fof(f13709,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(sK44(sK53),X0)) = X0
| nil = sK53 ),
inference(resolution,[],[f765,f415]) ).
fof(f13713,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sK44(sK53),X0)) = X0 )
| spl55_9 ),
inference(forward_subsumption_resolution,[],[f13709,f1295]) ).
fof(f13964,plain,
( ~ frontsegP(sK49,cons(sK52,sK49))
| ~ ssList(sK49)
| ~ ssList(sK49)
| sK49 = cons(sK52,sK49)
| ~ spl55_1
| spl55_2 ),
inference(superposition,[],[f1312,f3217]) ).
fof(f13969,plain,
( ~ frontsegP(sK49,cons(sK52,sK49))
| ~ ssList(sK49)
| sK49 = cons(sK52,sK49)
| ~ spl55_1
| spl55_2 ),
inference(duplicate_literal_removal,[],[f13964]) ).
fof(f13975,plain,
( ~ frontsegP(sK49,cons(sK52,sK49))
| sK49 = cons(sK52,sK49)
| ~ spl55_1
| spl55_2 ),
inference(forward_subsumption_resolution,[],[f13969,f426]) ).
fof(f13995,plain,
( ~ frontsegP(sK49,cons(sK52,sK49))
| ~ spl55_1
| spl55_2 ),
inference(forward_subsumption_resolution,[],[f13975,f795]) ).
fof(f61861,definition,
( spl55_75
<=> ssItem(sK44(sK53)) ),
introduced(definition,[new_symbols(definition,[spl55_75])],[avatar_definition]) ).
fof(f61862,plain,
( ssItem(sK44(sK53))
| ~ spl55_75 ),
inference(avatar_component_clause,[],[f61861]) ).
fof(f61863,plain,
( ~ ssItem(sK44(sK53))
| spl55_75 ),
inference(avatar_component_clause,[],[f61861]) ).
fof(f61865,definition,
( spl55_76
<=> ssList(sK43(sK53)) ),
introduced(definition,[new_symbols(definition,[spl55_76])],[avatar_definition]) ).
fof(f61866,plain,
( ssList(sK43(sK53))
| ~ spl55_76 ),
inference(avatar_component_clause,[],[f61865]) ).
fof(f61867,plain,
( ~ ssList(sK43(sK53))
| spl55_76 ),
inference(avatar_component_clause,[],[f61865]) ).
fof(f61869,definition,
( spl55_77
<=> memberP(sK53,sK44(sK53)) ),
introduced(definition,[new_symbols(definition,[spl55_77])],[avatar_definition]) ).
fof(f61871,plain,
( memberP(sK53,sK44(sK53))
| ~ spl55_77 ),
inference(avatar_component_clause,[],[f61869]) ).
fof(f61872,plain,
( ~ spl55_75
| ~ spl55_76
| spl55_77
| spl55_9 ),
inference(avatar_split_clause,[],[f3008,f1294,f61869,f61865,f61861]) ).
fof(f61873,plain,
( ~ ssList(sK53)
| nil = sK53
| spl55_75 ),
inference(resolution,[],[f61863,f310]) ).
fof(f61874,plain,
( nil = sK53
| spl55_75 ),
inference(forward_subsumption_resolution,[],[f61873,f415]) ).
fof(f61875,plain,
( $false
| spl55_9
| spl55_75 ),
inference(forward_subsumption_resolution,[],[f61874,f1295]) ).
fof(f61876,plain,
( spl55_9
| spl55_75 ),
inference(avatar_contradiction_clause,[],[f61875]) ).
fof(f61938,plain,
( ~ ssList(sK53)
| nil = sK53
| spl55_76 ),
inference(resolution,[],[f61867,f311]) ).
fof(f61939,plain,
( nil = sK53
| spl55_76 ),
inference(forward_subsumption_resolution,[],[f61938,f415]) ).
fof(f61940,plain,
( $false
| spl55_9
| spl55_76 ),
inference(forward_subsumption_resolution,[],[f61939,f1295]) ).
fof(f61941,plain,
( spl55_9
| spl55_76 ),
inference(avatar_contradiction_clause,[],[f61940]) ).
fof(f62271,plain,
( sK43(sK53) = tl(cons(sK44(sK53),sK43(sK53)))
| spl55_9
| ~ spl55_76 ),
inference(resolution,[],[f61866,f13713]) ).
fof(f62274,plain,
( tl(sK53) = sK43(sK53)
| spl55_9
| ~ spl55_76 ),
inference(forward_demodulation,[],[f62271,f2974]) ).
fof(f62289,plain,
( ~ ssItem(sK44(sK53))
| sK52 = sK44(sK53)
| ~ spl55_1
| spl55_2
| ~ spl55_16
| ~ spl55_18
| ~ spl55_77 ),
inference(resolution,[],[f61871,f11788]) ).
fof(f62370,plain,
( sK52 = sK44(sK53)
| ~ spl55_1
| spl55_2
| ~ spl55_16
| ~ spl55_18
| ~ spl55_75
| ~ spl55_77 ),
inference(forward_subsumption_resolution,[],[f62289,f61862]) ).
fof(f62961,plain,
( memberP(sK53,hd(sK53))
| ~ ssItem(hd(sK53))
| spl55_9
| ~ spl55_20 ),
inference(forward_subsumption_resolution,[],[f3084,f6128]) ).
fof(f62978,definition,
( spl55_81
<=> ssItem(hd(sK53)) ),
introduced(definition,[new_symbols(definition,[spl55_81])],[avatar_definition]) ).
fof(f62979,plain,
( ssItem(hd(sK53))
| ~ spl55_81 ),
inference(avatar_component_clause,[],[f62978]) ).
fof(f62980,plain,
( ~ ssItem(hd(sK53))
| spl55_81 ),
inference(avatar_component_clause,[],[f62978]) ).
fof(f62982,definition,
( spl55_82
<=> memberP(sK53,hd(sK53)) ),
introduced(definition,[new_symbols(definition,[spl55_82])],[avatar_definition]) ).
fof(f62984,plain,
( memberP(sK53,hd(sK53))
| ~ spl55_82 ),
inference(avatar_component_clause,[],[f62982]) ).
fof(f62985,plain,
( ~ spl55_81
| spl55_82
| spl55_9
| ~ spl55_20 ),
inference(avatar_split_clause,[],[f62961,f6127,f1294,f62982,f62978]) ).
fof(f62986,plain,
( nil = sK53
| ~ ssList(sK53)
| spl55_81 ),
inference(resolution,[],[f62980,f313]) ).
fof(f62987,plain,
( ~ ssList(sK53)
| spl55_9
| spl55_81 ),
inference(forward_subsumption_resolution,[],[f62986,f1295]) ).
fof(f62988,plain,
( $false
| spl55_9
| spl55_81 ),
inference(forward_subsumption_resolution,[],[f62987,f415]) ).
fof(f62989,plain,
( spl55_9
| spl55_81 ),
inference(avatar_contradiction_clause,[],[f62988]) ).
fof(f63051,plain,
( ~ ssItem(hd(sK53))
| sK52 = hd(sK53)
| ~ spl55_1
| spl55_2
| ~ spl55_16
| ~ spl55_18
| ~ spl55_82 ),
inference(resolution,[],[f62984,f11788]) ).
fof(f63132,plain,
( sK52 = hd(sK53)
| ~ spl55_1
| spl55_2
| ~ spl55_16
| ~ spl55_18
| ~ spl55_81
| ~ spl55_82 ),
inference(forward_subsumption_resolution,[],[f63051,f62979]) ).
fof(f63213,plain,
( memberP(sK53,sK52)
| ~ spl55_1
| spl55_2
| ~ spl55_16
| ~ spl55_18
| ~ spl55_81
| ~ spl55_82 ),
inference(superposition,[],[f62984,f63132]) ).
fof(f63232,plain,
( sK53 = cons(sK44(sK53),tl(sK53))
| spl55_9
| ~ spl55_76 ),
inference(superposition,[],[f2974,f62274]) ).
fof(f63235,plain,
( sK53 = cons(sK52,tl(sK53))
| ~ spl55_1
| spl55_2
| spl55_9
| ~ spl55_16
| ~ spl55_18
| ~ spl55_75
| ~ spl55_76
| ~ spl55_77 ),
inference(forward_demodulation,[],[f63232,f62370]) ).
fof(f63319,plain,
( frontsegP(sK53,sK49)
| ~ ssList(tl(sK53))
| ~ spl55_1
| spl55_2
| spl55_9
| ~ spl55_16
| ~ spl55_18
| ~ spl55_75
| ~ spl55_76
| ~ spl55_77 ),
inference(superposition,[],[f2781,f63235]) ).
fof(f63452,plain,
( ~ ssList(tl(sK53))
| ~ spl55_1
| spl55_2
| spl55_9
| ~ spl55_16
| ~ spl55_18
| spl55_21
| ~ spl55_75
| ~ spl55_76
| ~ spl55_77 ),
inference(forward_subsumption_resolution,[],[f63319,f6132]) ).
fof(f63513,plain,
( $false
| ~ spl55_1
| spl55_2
| spl55_9
| ~ spl55_16
| ~ spl55_18
| ~ spl55_20
| spl55_21
| ~ spl55_75
| ~ spl55_76
| ~ spl55_77 ),
inference(forward_subsumption_resolution,[],[f63452,f6128]) ).
fof(f63514,plain,
( ~ spl55_1
| spl55_2
| spl55_9
| ~ spl55_16
| ~ spl55_18
| ~ spl55_20
| spl55_21
| ~ spl55_75
| ~ spl55_76
| ~ spl55_77 ),
inference(avatar_contradiction_clause,[],[f63513]) ).
fof(f63519,plain,
( $false
| ~ spl55_1
| spl55_2
| ~ spl55_16
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f6382,f13995]) ).
fof(f63520,plain,
( ~ spl55_1
| spl55_2
| ~ spl55_16
| ~ spl55_21 ),
inference(avatar_contradiction_clause,[],[f63519]) ).
fof(f63522,plain,
( ~ memberP(sK53,sK52)
| ~ spl55_1
| spl55_2
| spl55_4
| ~ spl55_16 ),
inference(forward_demodulation,[],[f481,f5738]) ).
fof(f64104,plain,
( sK49 = app(app(nil,cons(sK51,nil)),sK54)
| ~ spl55_9 ),
inference(superposition,[],[f431,f1296]) ).
fof(f64287,plain,
( sK49 = app(app(nil,cons(sK52,nil)),sK54)
| ~ spl55_1
| spl55_2
| ~ spl55_9
| ~ spl55_16 ),
inference(forward_demodulation,[],[f64104,f5738]) ).
fof(f64296,plain,
( sK49 = app(app(nil,sK49),sK54)
| ~ spl55_1
| spl55_2
| ~ spl55_9
| ~ spl55_16 ),
inference(forward_demodulation,[],[f64287,f2688]) ).
fof(f64302,plain,
( sK49 = app(sK49,sK54)
| ~ spl55_1
| spl55_2
| ~ spl55_9
| ~ spl55_16 ),
inference(forward_demodulation,[],[f64296,f526]) ).
fof(f64832,plain,
( $false
| ~ spl55_1
| spl55_2
| spl55_4
| ~ spl55_16
| ~ spl55_18
| ~ spl55_81
| ~ spl55_82 ),
inference(forward_subsumption_resolution,[],[f63213,f63522]) ).
fof(f64833,plain,
( ~ spl55_1
| spl55_2
| spl55_4
| ~ spl55_16
| ~ spl55_18
| ~ spl55_81
| ~ spl55_82 ),
inference(avatar_contradiction_clause,[],[f64832]) ).
fof(f65634,plain,
( sK54 = tl(sK49)
| ~ spl55_1
| spl55_2
| spl55_3
| ~ spl55_9
| ~ spl55_16 ),
inference(superposition,[],[f6601,f64302]) ).
fof(f65677,plain,
( nil = sK54
| ~ spl55_1
| spl55_2
| spl55_3
| ~ spl55_9
| ~ spl55_16 ),
inference(forward_demodulation,[],[f65634,f2689]) ).
fof(f65693,plain,
( $false
| ~ spl55_1
| spl55_2
| spl55_3
| ~ spl55_9
| spl55_11
| ~ spl55_16 ),
inference(forward_subsumption_resolution,[],[f65677,f1321]) ).
fof(f65694,plain,
( ~ spl55_1
| spl55_2
| spl55_3
| ~ spl55_9
| spl55_11
| ~ spl55_16 ),
inference(avatar_contradiction_clause,[],[f65693]) ).
cnf(s2,plain,
( spl55_1
| spl55_3 ),
inference(sat_conversion,[],[f478]) ).
cnf(s3,plain,
( spl55_4
| spl55_5 ),
inference(sat_conversion,[],[f487]) ).
cnf(s4,plain,
( ~ spl55_2
| spl55_3
| spl55_6 ),
inference(sat_conversion,[],[f493]) ).
cnf(s10,plain,
( ~ spl55_4
| ~ spl55_9 ),
inference(sat_conversion,[],[f1377]) ).
cnf(s13,plain,
( ~ spl55_5
| ~ spl55_11 ),
inference(sat_conversion,[],[f1450]) ).
cnf(s17,plain,
( ~ spl55_1
| ~ spl55_6 ),
inference(sat_conversion,[],[f2487]) ).
cnf(s19,plain,
( ~ spl55_3
| ~ spl55_18
| spl55_19 ),
inference(sat_conversion,[],[f2628]) ).
cnf(s20,plain,
spl55_18,
inference(sat_conversion,[],[f2632]) ).
cnf(s21,plain,
( spl55_16
| ~ spl55_18 ),
inference(sat_conversion,[],[f2671]) ).
cnf(s22,plain,
( ~ spl55_18
| ~ spl55_19 ),
inference(sat_conversion,[],[f2682]) ).
cnf(s24,plain,
( spl55_9
| spl55_20 ),
inference(sat_conversion,[],[f6144]) ).
cnf(s83,plain,
( spl55_9
| ~ spl55_75
| ~ spl55_76
| spl55_77 ),
inference(sat_conversion,[],[f61872]) ).
cnf(s84,plain,
( spl55_9
| spl55_75 ),
inference(sat_conversion,[],[f61876]) ).
cnf(s85,plain,
( spl55_9
| spl55_76 ),
inference(sat_conversion,[],[f61941]) ).
cnf(s89,plain,
( spl55_9
| ~ spl55_20
| ~ spl55_81
| spl55_82 ),
inference(sat_conversion,[],[f62985]) ).
cnf(s90,plain,
( spl55_9
| spl55_81 ),
inference(sat_conversion,[],[f62989]) ).
cnf(s91,plain,
( ~ spl55_1
| spl55_2
| spl55_9
| ~ spl55_16
| ~ spl55_18
| ~ spl55_20
| spl55_21
| ~ spl55_75
| ~ spl55_76
| ~ spl55_77 ),
inference(sat_conversion,[],[f63514]) ).
cnf(s93,plain,
( ~ spl55_1
| spl55_2
| ~ spl55_16
| ~ spl55_21 ),
inference(sat_conversion,[],[f63520]) ).
cnf(s94,plain,
( ~ spl55_1
| spl55_2
| spl55_4
| ~ spl55_16
| ~ spl55_18
| ~ spl55_81
| ~ spl55_82 ),
inference(sat_conversion,[],[f64833]) ).
cnf(s98,plain,
( ~ spl55_1
| spl55_2
| spl55_3
| ~ spl55_9
| spl55_11
| ~ spl55_16 ),
inference(sat_conversion,[],[f65694]) ).
cnf(s115,plain,
~ spl55_19,
inference(rat,[],[s22,s20]) ).
cnf(s116,plain,
spl55_16,
inference(rat,[],[s21,s20]) ).
cnf(s119,plain,
~ spl55_3,
inference(rat,[],[s19,s115,s20]) ).
cnf(s124,plain,
( ~ spl55_2
| spl55_6 ),
inference(rat,[],[s4,s119]) ).
cnf(s125,plain,
spl55_1,
inference(rat,[],[s2,s119]) ).
cnf(s126,plain,
~ spl55_6,
inference(rat,[],[s17,s125]) ).
cnf(s127,plain,
~ spl55_2,
inference(rat,[],[s124,s126]) ).
cnf(s128,plain,
~ spl55_21,
inference(rat,[],[s93,s125,s116,s127]) ).
cnf(s137,plain,
spl55_4,
inference(rat,[],[s89,s94,s24,s90,s98,s13,s3,s125,s116,s20,s127,s119]) ).
cnf(s138,plain,
~ spl55_9,
inference(rat,[],[s10,s137]) ).
cnf(s140,plain,
spl55_76,
inference(rat,[],[s85,s138]) ).
cnf(s141,plain,
spl55_75,
inference(rat,[],[s84,s138]) ).
cnf(s142,plain,
spl55_20,
inference(rat,[],[s24,s138]) ).
cnf(s145,plain,
spl55_77,
inference(rat,[],[s83,s138,s140,s141]) ).
cnf(s147,plain,
$false,
inference(rat,[],[s91,s138,s140,s141,s128,s127,s20,s116,s125,s145,s142]) ).
fof(f65695,plain,
$false,
inference(avatar_sat_refutation,[],[s147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC183+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 08:21:00 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.44/3.34 % (204169)Will run a generic schedule for satisfiability detection.
% 20.44/3.34 % (204174)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2024404481_2999 on theBenchmark for (2999ds/0Mi)
% 20.44/3.34 % (204175)% WARNING: option uhcvi not known.
% 20.44/3.34 % (204178)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=136126644:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 20.44/3.34 % (204175)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=611778509:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 20.44/3.34 % (204176)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2112500397:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 20.44/3.34 % (204177)dis+10_1_sil=32000:sp=arity:random_seed=292008423:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 20.44/3.34 % (204180)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1759513916:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 20.44/3.34 % (204179)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1359181282:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 20.44/3.34 % TRYING [1]
% 20.44/3.34 % TRYING [2]
% 20.44/3.34 % TRYING [3]
% 20.44/3.34 % TRYING [4]
% 20.44/3.34 % TRYING [5]
% 20.44/3.34 % (204177)Instruction limit reached!
% 20.44/3.34 % (204177)------------------------------
% 20.44/3.34 % (204177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.34 % (204177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.34 % (204177)CaDiCaL version: 2.1.3
% 20.44/3.34 % (204177)Termination reason: Instruction limit
% 20.44/3.34 % (204177)Termination phase: Saturation
% 20.44/3.34 % (204177)Time elapsed: 0.061 s
% 20.44/3.34 % (204177)Peak memory usage: 13 MB
% 20.44/3.34 % (204177)Instructions burned: 103 (million)
% 20.44/3.34 % (204178)Instruction limit reached!
% 20.44/3.34 % (204178)------------------------------
% 20.44/3.34 % (204178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.34 % (204178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.34 % (204178)CaDiCaL version: 2.1.3
% 20.44/3.34 % (204178)Termination reason: Instruction limit
% 20.44/3.34 % (204178)Termination phase: Saturation
% 20.44/3.34 % (204178)Time elapsed: 0.070 s
% 20.44/3.34 % (204178)Peak memory usage: 13 MB
% 20.44/3.34 % (204178)Instructions burned: 116 (million)
% 20.44/3.34 % (204179)Instruction limit reached!
% 20.44/3.34 % (204179)------------------------------
% 20.44/3.34 % (204179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.34 % (204179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.34 % (204179)CaDiCaL version: 2.1.3
% 20.44/3.34 % (204179)Termination reason: Instruction limit
% 20.44/3.34 % (204179)Termination phase: Saturation
% 20.44/3.34 % (204179)Time elapsed: 0.078 s
% 20.44/3.34 % (204179)Peak memory usage: 14 MB
% 20.44/3.34 % (204179)Instructions burned: 132 (million)
% 20.44/3.34 % (204188)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=863857873:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 20.44/3.34 % (204189)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3781892031:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 20.44/3.34 % TRYING [1]
% 20.44/3.34 % TRYING [2]
% 20.44/3.34 % (204190)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=3066174119:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 20.44/3.34 % TRYING [3]
% 20.44/3.34 % (204180)Instruction limit reached!
% 20.44/3.34 % (204180)------------------------------
% 20.44/3.34 % (204180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.34 % (204180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.44/3.34 % (204180)CaDiCaL version: 2.1.3
% 20.44/3.34 % (204180)Termination reason: Instruction limit
% 20.44/3.34 % (204180)Termination phase: Saturation
% 20.44/3.34 % (204180)Time elapsed: 0.104 s
% 20.44/3.34 % (204180)Peak memory usage: 15 MB
% 20.44/3.34 % (204180)Instructions burned: 160 (million)
% 20.44/3.34 % TRYING [6]
% 20.44/3.34 % TRYING [4]
% 20.44/3.34 % (204194)ott-21_1_sil=16000:fs=off:random_seed=1612735281:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 20.44/3.34 % (204189)Instruction limit reached!
% 20.44/3.34 % (204189)------------------------------
% 20.44/3.34 % (204189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.44/3.34 % (204189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.40 % (204189)CaDiCaL version: 2.1.3
% 18.94/3.40 % (204189)Termination reason: Instruction limit
% 18.94/3.40 % (204189)Termination phase: Saturation
% 18.94/3.40 % (204189)Time elapsed: 0.072 s
% 18.94/3.40 % (204189)Peak memory usage: 13 MB
% 18.94/3.40 % (204189)Instructions burned: 131 (million)
% 18.94/3.40 % TRYING [5]
% 18.94/3.40 % (204196)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3204131225:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 18.94/3.40 % (204194)Instruction limit reached!
% 18.94/3.40 % (204194)------------------------------
% 18.94/3.40 % (204194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.94/3.40 % (204194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.40 % (204194)CaDiCaL version: 2.1.3
% 18.94/3.40 % (204194)Termination reason: Instruction limit
% 18.94/3.40 % (204194)Termination phase: Saturation
% 18.94/3.40 % (204194)Time elapsed: 0.089 s
% 18.94/3.40 % (204194)Peak memory usage: 14 MB
% 18.94/3.40 % (204194)Instructions burned: 181 (million)
% 18.94/3.40 % (204198)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=86903005:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 18.94/3.40 % TRYING [1]
% 18.94/3.40 % TRYING [2]
% 18.94/3.40 % TRYING [3]
% 18.94/3.40 % TRYING [7]
% 18.94/3.40 % TRYING [4]
% 18.94/3.40 % TRYING [6]
% 18.94/3.40 % (204188)Instruction limit reached!
% 18.94/3.40 % (204188)------------------------------
% 18.94/3.40 % (204188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.94/3.40 % (204188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.40 % (204188)CaDiCaL version: 2.1.3
% 18.94/3.40 % (204188)Termination reason: Instruction limit
% 18.94/3.40 % (204188)Termination phase: Finite model building constraint generation
% 18.94/3.40 % (204188)Time elapsed: 0.289 s
% 18.94/3.40 % (204188)Peak memory usage: 28 MB
% 18.94/3.40 % (204188)Instructions burned: 714 (million)
% 18.94/3.40 % (204200)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2945918503:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 18.94/3.40 % TRYING [5]
% 18.94/3.40 % (204190)Instruction limit reached!
% 18.94/3.40 % (204190)------------------------------
% 18.94/3.40 % (204190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.94/3.40 % (204190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.40 % (204190)CaDiCaL version: 2.1.3
% 18.94/3.40 % (204190)Termination reason: Instruction limit
% 18.94/3.40 % (204190)Termination phase: Saturation
% 18.94/3.40 % (204190)Time elapsed: 0.366 s
% 18.94/3.40 % (204190)Peak memory usage: 23 MB
% 18.94/3.40 % (204190)Instructions burned: 686 (million)
% 18.94/3.40 % (204202)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2041008503:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 18.94/3.40 % (204196)Instruction limit reached!
% 18.94/3.40 % (204196)------------------------------
% 18.94/3.40 % (204196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.94/3.40 % (204196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.40 % (204196)CaDiCaL version: 2.1.3
% 18.94/3.40 % (204196)Termination reason: Instruction limit
% 18.94/3.40 % (204196)Termination phase: Saturation
% 18.94/3.40 % (204196)Time elapsed: 0.326 s
% 18.94/3.40 % (204196)Peak memory usage: 15 MB
% 18.94/3.40 % (204196)Instructions burned: 477 (million)
% 18.94/3.40 % (204204)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=3284746437: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)
% 18.94/3.40 % (204198)Instruction limit reached!
% 18.94/3.40 % (204198)------------------------------
% 18.94/3.40 % (204198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.94/3.40 % (204198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.40 % (204198)CaDiCaL version: 2.1.3
% 18.94/3.40 % (204198)Termination reason: Instruction limit
% 18.94/3.40 % (204198)Termination phase: Finite model building SAT solving
% 18.94/3.40 % (204198)Time elapsed: 0.343 s
% 18.94/3.40 % (204198)Peak memory usage: 22 MB
% 18.94/3.40 % (204198)Instructions burned: 866 (million)
% 18.94/3.40 % TRYING [14]
% 18.94/3.40 % (204206)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2755736823:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 18.94/3.40 % TRYING [8]
% 18.94/3.40 % (204202)Instruction limit reached!
% 18.94/3.40 % (204202)------------------------------
% 18.94/3.40 % (204202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.94/3.40 % (204202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.40 % (204202)CaDiCaL version: 2.1.3
% 18.94/3.40 % (204202)Termination reason: Instruction limit
% 18.94/3.40 % (204202)Termination phase: Finite model building constraint generation
% 18.94/3.40 % (204202)Time elapsed: 0.324 s
% 18.94/3.40 % (204202)Peak memory usage: 70 MB
% 18.94/3.40 % (204202)Instructions burned: 889 (million)
% 18.94/3.40 % (204208)fmb+10_1_sil=64000:random_seed=1477754385:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 18.94/3.40 % TRYING [1]
% 18.94/3.40 % TRYING [2]
% 18.94/3.40 % TRYING [3]
% 18.94/3.40 % (204204)Instruction limit reached!
% 18.94/3.40 % (204204)------------------------------
% 18.94/3.40 % (204204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.94/3.40 % (204204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.40 % (204204)CaDiCaL version: 2.1.3
% 18.94/3.40 % (204204)Termination reason: Instruction limit
% 18.94/3.40 % (204204)Termination phase: Saturation
% 18.94/3.40 % (204204)Time elapsed: 0.365 s
% 18.94/3.40 % (204204)Peak memory usage: 20 MB
% 18.94/3.40 % (204204)Instructions burned: 694 (million)
% 18.94/3.40 % TRYING [4]
% 18.94/3.40 % (204210)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3399776140:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 18.94/3.40 % TRYING [20]
% 18.94/3.40 % TRYING [5]
% 18.94/3.40 % (204200)Instruction limit reached!
% 18.94/3.40 % (204200)------------------------------
% 18.94/3.40 % (204200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.94/3.40 % (204200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.40 % (204200)CaDiCaL version: 2.1.3
% 18.94/3.40 % (204200)Termination reason: Instruction limit
% 18.94/3.40 % (204200)Termination phase: Saturation
% 18.94/3.40 % (204200)Time elapsed: 0.647 s
% 18.94/3.40 % (204200)Peak memory usage: 25 MB
% 18.94/3.40 % (204200)Instructions burned: 1179 (million)
% 18.94/3.40 % (204212)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1648443186:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 18.94/3.40 % (204206)Instruction limit reached!
% 18.94/3.40 % (204206)------------------------------
% 18.94/3.40 % (204206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.94/3.40 % (204206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.40 % (204206)CaDiCaL version: 2.1.3
% 18.94/3.40 % (204206)Termination reason: Instruction limit
% 18.94/3.40 % (204206)Termination phase: Saturation
% 18.94/3.40 % (204206)Time elapsed: 0.470 s
% 18.94/3.40 % (204206)Peak memory usage: 21 MB
% 18.94/3.40 % (204206)Instructions burned: 880 (million)
% 18.94/3.40 % TRYING [8]
% 18.94/3.40 % (204214)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3842203714:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 18.94/3.40 % TRYING [6]
% 18.94/3.40 % (204212)Instruction limit reached!
% 18.94/3.40 % (204212)------------------------------
% 18.94/3.40 % (204212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.94/3.40 % (204212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.40 % (204212)CaDiCaL version: 2.1.3
% 18.94/3.40 % (204212)Termination reason: Instruction limit
% 18.94/3.40 % (204212)Termination phase: Finite model building constraint generation
% 18.94/3.40 % (204212)Time elapsed: 0.338 s
% 18.94/3.40 % (204212)Peak memory usage: 69 MB
% 18.94/3.40 % (204212)Instructions burned: 921 (million)
% 18.94/3.40 % (204216)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2429779790:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 18.94/3.40 % TRYING [9]
% 18.94/3.40 % TRYING [7]
% 18.94/3.40 % (204216)Instruction limit reached!
% 18.94/3.40 % (204216)------------------------------
% 18.94/3.40 % (204216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.94/3.40 % (204216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.40 % (204216)CaDiCaL version: 2.1.3
% 18.94/3.40 % (204216)Termination reason: Instruction limit
% 18.94/3.40 % (204216)Termination phase: Saturation
% 18.94/3.40 % (204216)Time elapsed: 0.647 s
% 18.94/3.40 % (204216)Peak memory usage: 16 MB
% 18.94/3.40 % (204216)Instructions burned: 1473 (million)
% 18.94/3.40 % (204218)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2582681082:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 18.94/3.40 % TRYING [77]
% 18.94/3.40 % (204214) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-204169-204214"...
% 18.94/3.40 % (204214)...printing done.
% 18.94/3.40 % (204214)Refutation found. Thanks to Tanya!
% 18.94/3.40 % SZS status Theorem for theBenchmark
% 18.94/3.40 % SZS output start Proof for theBenchmark
% See solution above
% 18.94/3.41 % (204214)------------------------------
% 18.94/3.41 % (204214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.94/3.41 % (204214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.94/3.41 % (204214)CaDiCaL version: 2.1.3
% 18.94/3.41 % (204214)Termination reason: Refutation
% 18.94/3.41 % (204214)Time elapsed: 1.803 s
% 18.94/3.41 % (204214)Peak memory usage: 39 MB
% 18.94/3.41 % (204214)Instructions burned: 3398 (million)
% 18.94/3.41 % (204169)Success in time 2.988 s
% 18.94/3.41 % Vampire exiting
%------------------------------------------------------------------------------