%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC165+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:04:55 PM UTC 2026
% Result : Theorem 24.60s 4.01s
% Output : Refutation 24.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 38
% Syntax : Number of formulae : 323 ( 31 unt; 14 def)
% Number of atoms : 1312 ( 163 equ)
% Maximal formula atoms : 25 ( 4 avg)
% Number of connectives : 1698 ( 709 ~; 815 |; 69 &)
% ( 32 <=>; 73 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 15 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-2 aty)
% Number of variables : 298 ( 0 sgn 256 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax1) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax20) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax36) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(f41,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( frontsegP(X0,X1)
& frontsegP(X1,X0) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax41) ).
fof(f43,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X0,X1)
=> frontsegP(app(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax43) ).
fof(f44,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( X0 = X1
& frontsegP(X2,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax44) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax46) ).
fof(f53,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X0,X1)
& segmentP(X1,X2) )
=> segmentP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax53) ).
fof(f54,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( segmentP(X0,X1)
& segmentP(X1,X0) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax54) ).
fof(f56,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( segmentP(X0,X1)
=> segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax56) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax57) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| neq(X4,X5) ) ) ) ) )
| ( ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( ssList(X10)
=> ( cons(X8,nil) != X2
| app(app(X9,X2),X10) != X3
| ? [X11] :
( ssItem(X11)
& memberP(X9,X11)
& lt(X8,X11) )
| ? [X12] :
( ssItem(X12)
& memberP(X10,X12)
& lt(X12,X8) ) ) ) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| neq(X4,X5) ) ) ) ) )
| ( ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ! [X10] :
( ssList(X10)
=> ( cons(X8,nil) != X2
| app(app(X9,X2),X10) != X3
| ? [X11] :
( ssItem(X11)
& memberP(X9,X11)
& lt(X8,X11) )
| ? [X12] :
( ssItem(X12)
& memberP(X10,X12)
& lt(X12,X8) ) ) ) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f123,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f124,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| ~ ssList(X0) ),
inference(flattening,[],[f123]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f134,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f148,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X0,X1)
| ~ frontsegP(X1,X0)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X0,X1)
| ~ frontsegP(X1,X0)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f151]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( X0 = X1
& frontsegP(X2,X3) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f158,plain,
! [X0] :
( ( frontsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f168]) ).
fof(f170,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X0,X1)
| ~ segmentP(X1,X0)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f171,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X0,X1)
| ~ segmentP(X1,X0)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f170]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f173]) ).
fof(f175,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f176,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& ~ neq(X4,X5)
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( ? [X8] :
( ? [X9] :
( ? [X10] :
( cons(X8,nil) = X2
& app(app(X9,X2),X10) = X3
& ! [X11] :
( ~ ssItem(X11)
| ~ memberP(X9,X11)
| ~ lt(X8,X11) )
& ! [X12] :
( ~ ssItem(X12)
| ~ memberP(X10,X12)
| ~ lt(X12,X8) )
& ssList(X10) )
& ssList(X9) )
& ssItem(X8) )
| ( nil = X3
& nil = X2 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& ~ neq(X4,X5)
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( ? [X8] :
( ? [X9] :
( ? [X10] :
( cons(X8,nil) = X2
& app(app(X9,X2),X10) = X3
& ! [X11] :
( ~ ssItem(X11)
| ~ memberP(X9,X11)
| ~ lt(X8,X11) )
& ! [X12] :
( ~ ssItem(X12)
| ~ memberP(X10,X12)
| ~ lt(X12,X8) )
& ssList(X10) )
& ssList(X9) )
& ssItem(X8) )
| ( nil = X3
& nil = X2 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f223,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssItem(X1)
| X0 = X1
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f228,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(f237,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X2) != X0
| ~ ssList(X2)
| frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f241,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f305,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f306,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f307,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) != X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f310,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK44(X0),sK43(X0)) = X0
| nil = X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f311,plain,
! [X0] :
( ssItem(sK44(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f312,plain,
! [X0] :
( ssList(sK43(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f124]) ).
fof(f318,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f320,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f332,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X1,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f333,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(f336,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f339,plain,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f152]) ).
fof(f341,plain,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f342,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(f343,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(f347,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f355,plain,
! [X2,X0,X1] :
( segmentP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f356,plain,
! [X0,X1] :
( ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f171]) ).
fof(f358,plain,
! [X2,X3,X0,X1] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f174]) ).
fof(f359,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f361,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f392,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f415,plain,
ssList(sK57),
inference(cnf_transformation,[],[f222]) ).
fof(f416,plain,
~ neq(sK51,sK53),
inference(cnf_transformation,[],[f222]) ).
fof(f417,plain,
sK47 = app(app(app(sK55,cons(sK51,nil)),cons(sK53,nil)),sK57),
inference(cnf_transformation,[],[f222]) ).
fof(f420,plain,
( nil = sK50
| sK49 = cons(sK52,nil) ),
inference(cnf_transformation,[],[f222]) ).
fof(f421,plain,
( nil = sK49
| ssList(sK56) ),
inference(cnf_transformation,[],[f222]) ).
fof(f422,plain,
( nil = sK49
| sK50 = app(app(sK54,sK49),sK56) ),
inference(cnf_transformation,[],[f222]) ).
fof(f424,plain,
ssList(sK55),
inference(cnf_transformation,[],[f222]) ).
fof(f425,plain,
( nil = sK49
| ssList(sK54) ),
inference(cnf_transformation,[],[f222]) ).
fof(f427,plain,
ssItem(sK53),
inference(cnf_transformation,[],[f222]) ).
fof(f428,plain,
( nil = sK50
| ssItem(sK52) ),
inference(cnf_transformation,[],[f222]) ).
fof(f430,plain,
ssItem(sK51),
inference(cnf_transformation,[],[f222]) ).
fof(f432,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f434,plain,
ssList(sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f439,plain,
sK49 = app(app(app(sK55,cons(sK51,nil)),cons(sK53,nil)),sK57),
inference(definition_unfolding,[],[f417,f432]) ).
fof(f441,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,[],[f228]) ).
fof(f443,plain,
! [X2,X1] :
( ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X1,X2),X1) ),
inference(equality_resolution,[],[f237]) ).
fof(f445,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f241]) ).
fof(f473,definition,
( spl58_1
<=> ssList(sK56) ),
introduced(definition,[new_symbols(definition,[spl58_1])],[avatar_definition]) ).
fof(f475,plain,
( ssList(sK56)
| ~ spl58_1 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f477,definition,
( spl58_2
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl58_2])],[avatar_definition]) ).
fof(f478,plain,
( nil != sK50
| spl58_2 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f479,plain,
( nil = sK50
| ~ spl58_2 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f483,definition,
( spl58_3
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl58_3])],[avatar_definition]) ).
fof(f484,plain,
( nil != sK49
| spl58_3 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f485,plain,
( nil = sK49
| ~ spl58_3 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f486,plain,
( spl58_1
| spl58_3 ),
inference(avatar_split_clause,[],[f421,f483,f473]) ).
fof(f488,definition,
( spl58_4
<=> ssList(sK54) ),
introduced(definition,[new_symbols(definition,[spl58_4])],[avatar_definition]) ).
fof(f490,plain,
( ssList(sK54)
| ~ spl58_4 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f491,plain,
( spl58_4
| spl58_3 ),
inference(avatar_split_clause,[],[f425,f483,f488]) ).
fof(f626,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK51,X0) != X0 ),
inference(resolution,[],[f307,f430]) ).
fof(f661,plain,
( ~ ssItem(sK53)
| sK51 = sK53
| ~ ssItem(sK51) ),
inference(resolution,[],[f223,f416]) ).
fof(f666,plain,
( sK51 = sK53
| ~ ssItem(sK51) ),
inference(forward_subsumption_resolution,[],[f661,f427]) ).
fof(f667,plain,
sK51 = sK53,
inference(forward_subsumption_resolution,[],[f666,f430]) ).
fof(f1034,plain,
( sK55 = cons(sK44(sK55),sK43(sK55))
| nil = sK55 ),
inference(resolution,[],[f310,f424]) ).
fof(f1089,definition,
( spl58_6
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl58_6])],[avatar_definition]) ).
fof(f1090,plain,
( nil != sK55
| spl58_6 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f1091,plain,
( nil = sK55
| ~ spl58_6 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f1260,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f443,f318]) ).
fof(f1262,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(app(X1,X0))
| ~ ssList(X1)
| app(X1,X0) = X1 ),
inference(resolution,[],[f1260,f339]) ).
fof(f1270,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(app(X1,X0))
| app(X1,X0) = X1 ),
inference(duplicate_literal_removal,[],[f1262]) ).
fof(f1273,plain,
! [X0,X1] :
( ~ frontsegP(X1,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,X0) = X1 ),
inference(forward_subsumption_resolution,[],[f1270,f318]) ).
fof(f1672,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| ~ segmentP(nil,X0)
| ~ ssList(nil)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f355,f361]) ).
fof(f1677,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| ~ segmentP(nil,X0)
| ~ ssList(nil)
| nil = X1 ),
inference(duplicate_literal_removal,[],[f1672]) ).
fof(f2193,plain,
( ssItem(sK52)
| spl58_2 ),
inference(forward_subsumption_resolution,[],[f428,f478]) ).
fof(f2195,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sK52,X0) = app(cons(sK52,nil),X0) )
| spl58_2 ),
inference(resolution,[],[f2193,f392]) ).
fof(f2198,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sK52,X0) != X0 )
| spl58_2 ),
inference(resolution,[],[f2193,f307]) ).
fof(f2203,plain,
( sK49 = cons(sK52,nil)
| spl58_2 ),
inference(forward_subsumption_resolution,[],[f420,f478]) ).
fof(f2231,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssItem(sK52)
| ~ ssList(nil)
| memberP(nil,X0)
| sK52 = X0
| ~ ssItem(X0) )
| spl58_2 ),
inference(superposition,[],[f333,f2203]) ).
fof(f2239,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssList(nil)
| memberP(nil,X0)
| sK52 = X0
| ~ ssItem(X0) )
| spl58_2 ),
inference(forward_subsumption_resolution,[],[f2231,f2193]) ).
fof(f2289,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssList(nil)
| sK52 = X0
| ~ ssItem(X0) )
| spl58_2 ),
inference(forward_subsumption_resolution,[],[f2239,f336]) ).
fof(f2321,plain,
sK49 = app(app(app(sK55,cons(sK51,nil)),cons(sK51,nil)),sK57),
inference(forward_demodulation,[],[f439,f667]) ).
fof(f2325,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(app(sK55,cons(sK51,nil)),cons(sK51,nil)))
| ~ ssList(sK57)
| ~ memberP(app(app(sK55,cons(sK51,nil)),cons(sK51,nil)),X0)
| ~ ssItem(X0) ),
inference(superposition,[],[f332,f2321]) ).
fof(f2326,plain,
! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ ssList(sK57)
| ~ frontsegP(app(app(sK55,cons(sK51,nil)),cons(sK51,nil)),X0)
| ~ ssList(app(app(sK55,cons(sK51,nil)),cons(sK51,nil))) ),
inference(superposition,[],[f341,f2321]) ).
fof(f2334,plain,
( frontsegP(sK49,app(app(sK55,cons(sK51,nil)),cons(sK51,nil)))
| ~ ssList(sK57)
| ~ ssList(app(app(sK55,cons(sK51,nil)),cons(sK51,nil))) ),
inference(superposition,[],[f1260,f2321]) ).
fof(f2337,plain,
( frontsegP(sK49,app(app(sK55,cons(sK51,nil)),cons(sK51,nil)))
| ~ ssList(app(app(sK55,cons(sK51,nil)),cons(sK51,nil))) ),
inference(forward_subsumption_resolution,[],[f2334,f415]) ).
fof(f2343,plain,
! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ frontsegP(app(app(sK55,cons(sK51,nil)),cons(sK51,nil)),X0)
| ~ ssList(app(app(sK55,cons(sK51,nil)),cons(sK51,nil))) ),
inference(forward_subsumption_resolution,[],[f2326,f415]) ).
fof(f2344,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(app(sK55,cons(sK51,nil)),cons(sK51,nil)))
| ~ memberP(app(app(sK55,cons(sK51,nil)),cons(sK51,nil)),X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f2325,f415]) ).
fof(f2359,plain,
nil != cons(sK51,nil),
inference(resolution,[],[f306,f626]) ).
fof(f2646,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| frontsegP(nil,X1)
| ~ ssItem(sK52) )
| spl58_2 ),
inference(superposition,[],[f342,f2203]) ).
fof(f2650,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| frontsegP(nil,X1)
| ~ ssItem(sK52) )
| spl58_2 ),
inference(forward_subsumption_resolution,[],[f2646,f306]) ).
fof(f2652,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| frontsegP(nil,X1) )
| spl58_2 ),
inference(forward_subsumption_resolution,[],[f2650,f2193]) ).
fof(f2658,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| sK52 = X0
| ~ ssItem(sK52) )
| spl58_2 ),
inference(superposition,[],[f343,f2203]) ).
fof(f2663,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| sK52 = X0
| ~ ssItem(sK52) )
| spl58_2 ),
inference(forward_subsumption_resolution,[],[f2658,f306]) ).
fof(f2666,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| sK52 = X0 )
| spl58_2 ),
inference(forward_subsumption_resolution,[],[f2663,f2193]) ).
fof(f2706,plain,
! [X0] :
( segmentP(sK49,X0)
| ~ ssList(X0)
| ~ ssList(app(sK55,cons(sK51,nil)))
| ~ ssList(sK57)
| ~ segmentP(cons(sK51,nil),X0)
| ~ ssList(cons(sK51,nil)) ),
inference(superposition,[],[f358,f2321]) ).
fof(f2710,plain,
! [X0] :
( segmentP(sK49,X0)
| ~ ssList(X0)
| ~ ssList(app(sK55,cons(sK51,nil)))
| ~ segmentP(cons(sK51,nil),X0)
| ~ ssList(cons(sK51,nil)) ),
inference(forward_subsumption_resolution,[],[f2706,f415]) ).
fof(f2795,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X2,X0),X1))
| ~ segmentP(X0,app(app(X2,X0),X1))
| ~ ssList(app(app(X2,X0),X1))
| ~ ssList(X0)
| app(app(X2,X0),X1) = X0 ),
inference(resolution,[],[f445,f356]) ).
fof(f2810,plain,
( segmentP(sK49,cons(sK51,nil))
| ~ ssList(cons(sK51,nil))
| ~ ssList(sK57)
| ~ ssList(app(sK55,cons(sK51,nil)))
| ~ ssList(sK49) ),
inference(superposition,[],[f445,f2321]) ).
fof(f2811,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,app(app(X2,X0),X1))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X2,X0),X1))
| ~ ssList(X0)
| app(app(X2,X0),X1) = X0 ),
inference(duplicate_literal_removal,[],[f2795]) ).
fof(f2814,plain,
( segmentP(sK49,cons(sK51,nil))
| ~ ssList(cons(sK51,nil))
| ~ ssList(app(sK55,cons(sK51,nil)))
| ~ ssList(sK49) ),
inference(forward_subsumption_resolution,[],[f2810,f415]) ).
fof(f2824,plain,
( segmentP(sK49,cons(sK51,nil))
| ~ ssList(cons(sK51,nil))
| ~ ssList(app(sK55,cons(sK51,nil))) ),
inference(forward_subsumption_resolution,[],[f2814,f434]) ).
fof(f2999,plain,
( sK49 != cons(sK52,sK49)
| spl58_2 ),
inference(resolution,[],[f2198,f434]) ).
fof(f3726,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| sK52 = X0
| ~ ssItem(X0) )
| spl58_2 ),
inference(forward_subsumption_resolution,[],[f2289,f306]) ).
fof(f3790,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sK49,X0) = cons(sK52,X0) )
| spl58_2 ),
inference(forward_demodulation,[],[f2195,f2203]) ).
fof(f3830,plain,
( cons(sK52,sK49) = app(sK49,sK49)
| spl58_2 ),
inference(resolution,[],[f3790,f434]) ).
fof(f4966,definition,
( spl58_33
<=> ssList(app(app(sK55,cons(sK51,nil)),cons(sK51,nil))) ),
introduced(definition,[new_symbols(definition,[spl58_33])],[avatar_definition]) ).
fof(f4967,plain,
( ssList(app(app(sK55,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl58_33 ),
inference(avatar_component_clause,[],[f4966]) ).
fof(f4968,plain,
( ~ ssList(app(app(sK55,cons(sK51,nil)),cons(sK51,nil)))
| spl58_33 ),
inference(avatar_component_clause,[],[f4966]) ).
fof(f4974,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(app(sK55,cons(sK51,nil)))
| spl58_33 ),
inference(resolution,[],[f4968,f318]) ).
fof(f8102,definition,
( spl58_38
<=> ssList(app(sK55,cons(sK51,nil))) ),
introduced(definition,[new_symbols(definition,[spl58_38])],[avatar_definition]) ).
fof(f8103,plain,
( ssList(app(sK55,cons(sK51,nil)))
| ~ spl58_38 ),
inference(avatar_component_clause,[],[f8102]) ).
fof(f8104,plain,
( ~ ssList(app(sK55,cons(sK51,nil)))
| spl58_38 ),
inference(avatar_component_clause,[],[f8102]) ).
fof(f8106,definition,
( spl58_39
<=> ssList(cons(sK51,nil)) ),
introduced(definition,[new_symbols(definition,[spl58_39])],[avatar_definition]) ).
fof(f8107,plain,
( ssList(cons(sK51,nil))
| ~ spl58_39 ),
inference(avatar_component_clause,[],[f8106]) ).
fof(f8108,plain,
( ~ ssList(cons(sK51,nil))
| spl58_39 ),
inference(avatar_component_clause,[],[f8106]) ).
fof(f8110,definition,
( spl58_40
<=> segmentP(sK49,cons(sK51,nil)) ),
introduced(definition,[new_symbols(definition,[spl58_40])],[avatar_definition]) ).
fof(f8112,plain,
( segmentP(sK49,cons(sK51,nil))
| ~ spl58_40 ),
inference(avatar_component_clause,[],[f8110]) ).
fof(f8113,plain,
( ~ spl58_38
| ~ spl58_39
| spl58_40 ),
inference(avatar_split_clause,[],[f2824,f8110,f8106,f8102]) ).
fof(f8114,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(sK55)
| spl58_38 ),
inference(resolution,[],[f8104,f318]) ).
fof(f8115,plain,
( ~ ssList(cons(sK51,nil))
| spl58_38 ),
inference(forward_subsumption_resolution,[],[f8114,f424]) ).
fof(f8233,plain,
( ~ spl58_39
| spl58_38 ),
inference(avatar_split_clause,[],[f8115,f8102,f8106]) ).
fof(f8234,plain,
( ~ ssItem(sK51)
| ~ ssList(nil)
| spl58_39 ),
inference(resolution,[],[f8108,f305]) ).
fof(f8235,plain,
( ~ ssList(nil)
| spl58_39 ),
inference(forward_subsumption_resolution,[],[f8234,f430]) ).
fof(f8236,plain,
( $false
| spl58_39 ),
inference(forward_subsumption_resolution,[],[f8235,f306]) ).
fof(f8237,plain,
spl58_39,
inference(avatar_contradiction_clause,[],[f8236]) ).
fof(f8244,plain,
( cons(sK51,nil) = app(nil,cons(sK51,nil))
| ~ spl58_39 ),
inference(resolution,[],[f8107,f320]) ).
fof(f8780,plain,
( ! [X0] :
( segmentP(sK49,X0)
| ~ ssList(X0)
| ~ segmentP(cons(sK51,nil),X0)
| ~ ssList(cons(sK51,nil)) )
| ~ spl58_38 ),
inference(forward_subsumption_resolution,[],[f2710,f8103]) ).
fof(f8781,plain,
( ! [X0] :
( ~ segmentP(cons(sK51,nil),X0)
| ~ ssList(X0)
| segmentP(sK49,X0) )
| ~ spl58_38
| ~ spl58_39 ),
inference(forward_subsumption_resolution,[],[f8780,f8107]) ).
fof(f8784,plain,
( ~ ssList(nil)
| segmentP(sK49,nil)
| ~ ssList(cons(sK51,nil))
| ~ spl58_38
| ~ spl58_39 ),
inference(resolution,[],[f8781,f359]) ).
fof(f8789,plain,
( segmentP(sK49,nil)
| ~ ssList(cons(sK51,nil))
| ~ spl58_38
| ~ spl58_39 ),
inference(forward_subsumption_resolution,[],[f8784,f306]) ).
fof(f8790,plain,
( segmentP(sK49,nil)
| ~ spl58_38
| ~ spl58_39 ),
inference(forward_subsumption_resolution,[],[f8789,f8107]) ).
fof(f11163,definition,
( spl58_43
<=> sK49 = sK55 ),
introduced(definition,[new_symbols(definition,[spl58_43])],[avatar_definition]) ).
fof(f11165,plain,
( sK49 = sK55
| ~ spl58_43 ),
inference(avatar_component_clause,[],[f11163]) ).
fof(f11167,definition,
( spl58_44
<=> frontsegP(sK49,sK55) ),
introduced(definition,[new_symbols(definition,[spl58_44])],[avatar_definition]) ).
fof(f11168,plain,
( frontsegP(sK49,sK55)
| ~ spl58_44 ),
inference(avatar_component_clause,[],[f11167]) ).
fof(f16491,plain,
( ~ frontsegP(sK49,cons(sK52,sK49))
| ~ ssList(sK49)
| ~ ssList(sK49)
| sK49 = cons(sK52,sK49)
| spl58_2 ),
inference(superposition,[],[f1273,f3830]) ).
fof(f16498,plain,
( ~ frontsegP(sK49,cons(sK52,sK49))
| ~ ssList(sK49)
| sK49 = cons(sK52,sK49)
| spl58_2 ),
inference(duplicate_literal_removal,[],[f16491]) ).
fof(f16506,plain,
( ~ frontsegP(sK49,cons(sK52,sK49))
| sK49 = cons(sK52,sK49)
| spl58_2 ),
inference(forward_subsumption_resolution,[],[f16498,f434]) ).
fof(f16534,plain,
( ~ frontsegP(sK49,cons(sK52,sK49))
| spl58_2 ),
inference(forward_subsumption_resolution,[],[f16506,f2999]) ).
fof(f19580,plain,
! [X0,X1] :
( ~ segmentP(nil,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X1 ),
inference(forward_subsumption_resolution,[],[f1677,f306]) ).
fof(f19594,plain,
( ~ segmentP(nil,sK49)
| ~ ssList(cons(sK51,nil))
| ~ ssList(sK49)
| nil = cons(sK51,nil)
| ~ spl58_40 ),
inference(resolution,[],[f19580,f8112]) ).
fof(f19615,plain,
( ~ segmentP(nil,sK49)
| ~ ssList(sK49)
| nil = cons(sK51,nil)
| ~ spl58_39
| ~ spl58_40 ),
inference(forward_subsumption_resolution,[],[f19594,f8107]) ).
fof(f19620,plain,
( ~ segmentP(nil,sK49)
| nil = cons(sK51,nil)
| ~ spl58_39
| ~ spl58_40 ),
inference(forward_subsumption_resolution,[],[f19615,f434]) ).
fof(f19624,plain,
( ~ segmentP(nil,sK49)
| ~ spl58_39
| ~ spl58_40 ),
inference(forward_subsumption_resolution,[],[f19620,f2359]) ).
fof(f62092,definition,
( spl58_85
<=> sK51 = sK52 ),
introduced(definition,[new_symbols(definition,[spl58_85])],[avatar_definition]) ).
fof(f62093,plain,
( sK51 != sK52
| spl58_85 ),
inference(avatar_component_clause,[],[f62092]) ).
fof(f62094,plain,
( sK51 = sK52
| ~ spl58_85 ),
inference(avatar_component_clause,[],[f62092]) ).
fof(f68406,plain,
( segmentP(nil,nil)
| ~ spl58_3
| ~ spl58_38
| ~ spl58_39 ),
inference(superposition,[],[f8790,f485]) ).
fof(f68442,plain,
( ~ segmentP(nil,nil)
| ~ spl58_3
| ~ spl58_39
| ~ spl58_40 ),
inference(superposition,[],[f19624,f485]) ).
fof(f70293,definition,
( spl58_98
<=> ssItem(sK44(sK55)) ),
introduced(definition,[new_symbols(definition,[spl58_98])],[avatar_definition]) ).
fof(f70294,plain,
( ssItem(sK44(sK55))
| ~ spl58_98 ),
inference(avatar_component_clause,[],[f70293]) ).
fof(f70295,plain,
( ~ ssItem(sK44(sK55))
| spl58_98 ),
inference(avatar_component_clause,[],[f70293]) ).
fof(f70297,definition,
( spl58_99
<=> ssList(sK43(sK55)) ),
introduced(definition,[new_symbols(definition,[spl58_99])],[avatar_definition]) ).
fof(f70298,plain,
( ssList(sK43(sK55))
| ~ spl58_99 ),
inference(avatar_component_clause,[],[f70297]) ).
fof(f70299,plain,
( ~ ssList(sK43(sK55))
| spl58_99 ),
inference(avatar_component_clause,[],[f70297]) ).
fof(f70305,plain,
( ~ ssList(sK55)
| nil = sK55
| spl58_98 ),
inference(resolution,[],[f70295,f311]) ).
fof(f70306,plain,
( nil = sK55
| spl58_98 ),
inference(forward_subsumption_resolution,[],[f70305,f424]) ).
fof(f70307,plain,
( $false
| spl58_6
| spl58_98 ),
inference(forward_subsumption_resolution,[],[f70306,f1090]) ).
fof(f70308,plain,
( spl58_6
| spl58_98 ),
inference(avatar_contradiction_clause,[],[f70307]) ).
fof(f71080,plain,
( ssList(app(app(nil,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl58_6
| ~ spl58_33 ),
inference(forward_demodulation,[],[f4967,f1091]) ).
fof(f71083,plain,
( frontsegP(sK49,app(app(nil,cons(sK51,nil)),cons(sK51,nil)))
| ~ ssList(app(app(sK55,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl58_6 ),
inference(forward_demodulation,[],[f2337,f1091]) ).
fof(f71101,plain,
( ssList(app(cons(sK51,nil),cons(sK51,nil)))
| ~ spl58_6
| ~ spl58_33
| ~ spl58_39 ),
inference(forward_demodulation,[],[f71080,f8244]) ).
fof(f71104,plain,
( frontsegP(sK49,app(cons(sK51,nil),cons(sK51,nil)))
| ~ ssList(app(app(sK55,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl58_6
| ~ spl58_39 ),
inference(forward_demodulation,[],[f71083,f8244]) ).
fof(f71122,plain,
( ~ ssList(app(app(nil,cons(sK51,nil)),cons(sK51,nil)))
| frontsegP(sK49,app(cons(sK51,nil),cons(sK51,nil)))
| ~ spl58_6
| ~ spl58_39 ),
inference(forward_demodulation,[],[f71104,f1091]) ).
fof(f71138,plain,
( ~ ssList(app(cons(sK51,nil),cons(sK51,nil)))
| frontsegP(sK49,app(cons(sK51,nil),cons(sK51,nil)))
| ~ spl58_6
| ~ spl58_39 ),
inference(forward_demodulation,[],[f71122,f8244]) ).
fof(f72256,plain,
( frontsegP(sK49,app(cons(sK51,nil),cons(sK51,nil)))
| ~ spl58_6
| ~ spl58_33
| ~ spl58_39 ),
inference(forward_subsumption_resolution,[],[f71138,f71101]) ).
fof(f73341,plain,
( ssList(app(sK55,cons(sK52,nil)))
| ~ spl58_38
| ~ spl58_85 ),
inference(superposition,[],[f8103,f62094]) ).
fof(f73428,plain,
( frontsegP(sK49,app(cons(sK52,nil),cons(sK52,nil)))
| ~ spl58_6
| ~ spl58_33
| ~ spl58_39
| ~ spl58_85 ),
inference(superposition,[],[f72256,f62094]) ).
fof(f73438,plain,
( frontsegP(sK49,app(sK49,sK49))
| spl58_2
| ~ spl58_6
| ~ spl58_33
| ~ spl58_39
| ~ spl58_85 ),
inference(forward_demodulation,[],[f73428,f2203]) ).
fof(f73480,plain,
( ssList(app(sK55,sK49))
| spl58_2
| ~ spl58_38
| ~ spl58_85 ),
inference(forward_demodulation,[],[f73341,f2203]) ).
fof(f73495,plain,
( frontsegP(sK49,cons(sK52,sK49))
| spl58_2
| ~ spl58_6
| ~ spl58_33
| ~ spl58_39
| ~ spl58_85 ),
inference(forward_demodulation,[],[f73438,f3830]) ).
fof(f73517,plain,
( $false
| spl58_2
| ~ spl58_6
| ~ spl58_33
| ~ spl58_39
| ~ spl58_85 ),
inference(forward_subsumption_resolution,[],[f73495,f16534]) ).
fof(f73518,plain,
( spl58_2
| ~ spl58_6
| ~ spl58_33
| ~ spl58_39
| ~ spl58_85 ),
inference(avatar_contradiction_clause,[],[f73517]) ).
fof(f73525,plain,
( ssList(app(app(sK55,cons(sK52,nil)),cons(sK52,nil)))
| ~ spl58_33
| ~ spl58_85 ),
inference(forward_demodulation,[],[f4967,f62094]) ).
fof(f73531,plain,
( ! [X0] :
( ~ frontsegP(app(app(sK55,cons(sK52,nil)),cons(sK52,nil)),X0)
| frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ ssList(app(app(sK55,cons(sK51,nil)),cons(sK51,nil))) )
| ~ spl58_85 ),
inference(forward_demodulation,[],[f2343,f62094]) ).
fof(f73551,plain,
( ssList(app(app(sK55,sK49),sK49))
| spl58_2
| ~ spl58_33
| ~ spl58_85 ),
inference(forward_demodulation,[],[f73525,f2203]) ).
fof(f73557,plain,
( ! [X0] :
( ~ frontsegP(app(app(sK55,sK49),sK49),X0)
| frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ ssList(app(app(sK55,cons(sK51,nil)),cons(sK51,nil))) )
| spl58_2
| ~ spl58_85 ),
inference(forward_demodulation,[],[f73531,f2203]) ).
fof(f73575,plain,
( ! [X0] :
( ~ ssList(app(app(sK55,cons(sK52,nil)),cons(sK52,nil)))
| ~ frontsegP(app(app(sK55,sK49),sK49),X0)
| frontsegP(sK49,X0)
| ~ ssList(X0) )
| spl58_2
| ~ spl58_85 ),
inference(forward_demodulation,[],[f73557,f62094]) ).
fof(f73585,plain,
( ! [X0] :
( ~ ssList(app(app(sK55,sK49),sK49))
| ~ frontsegP(app(app(sK55,sK49),sK49),X0)
| frontsegP(sK49,X0)
| ~ ssList(X0) )
| spl58_2
| ~ spl58_85 ),
inference(forward_demodulation,[],[f73575,f2203]) ).
fof(f74095,plain,
( ~ ssList(sK55)
| nil = sK55
| spl58_99 ),
inference(resolution,[],[f70299,f312]) ).
fof(f74096,plain,
( nil = sK55
| spl58_99 ),
inference(forward_subsumption_resolution,[],[f74095,f424]) ).
fof(f74097,plain,
( $false
| spl58_6
| spl58_99 ),
inference(forward_subsumption_resolution,[],[f74096,f1090]) ).
fof(f74098,plain,
( spl58_6
| spl58_99 ),
inference(avatar_contradiction_clause,[],[f74097]) ).
fof(f74099,plain,
( sK55 = cons(sK44(sK55),sK43(sK55))
| spl58_6 ),
inference(forward_subsumption_resolution,[],[f1034,f1090]) ).
fof(f74499,plain,
( ~ frontsegP(sK49,sK55)
| ~ ssItem(sK44(sK55))
| ~ ssList(sK43(sK55))
| frontsegP(nil,sK43(sK55))
| spl58_2
| spl58_6 ),
inference(superposition,[],[f2652,f74099]) ).
fof(f74501,plain,
( ~ frontsegP(sK49,sK55)
| ~ ssItem(sK44(sK55))
| ~ ssList(sK43(sK55))
| sK52 = sK44(sK55)
| spl58_2
| spl58_6 ),
inference(superposition,[],[f2666,f74099]) ).
fof(f74558,plain,
( ~ frontsegP(sK49,sK55)
| ~ ssList(sK43(sK55))
| sK52 = sK44(sK55)
| spl58_2
| spl58_6
| ~ spl58_98 ),
inference(forward_subsumption_resolution,[],[f74501,f70294]) ).
fof(f74560,plain,
( ~ frontsegP(sK49,sK55)
| ~ ssList(sK43(sK55))
| frontsegP(nil,sK43(sK55))
| spl58_2
| spl58_6
| ~ spl58_98 ),
inference(forward_subsumption_resolution,[],[f74499,f70294]) ).
fof(f74628,plain,
( ~ frontsegP(sK49,sK55)
| sK52 = sK44(sK55)
| spl58_2
| spl58_6
| ~ spl58_98
| ~ spl58_99 ),
inference(forward_subsumption_resolution,[],[f74558,f70298]) ).
fof(f74630,plain,
( ~ frontsegP(sK49,sK55)
| frontsegP(nil,sK43(sK55))
| spl58_2
| spl58_6
| ~ spl58_98
| ~ spl58_99 ),
inference(forward_subsumption_resolution,[],[f74560,f70298]) ).
fof(f76654,plain,
( ! [X0] :
( ~ frontsegP(app(app(sK55,sK49),sK49),X0)
| frontsegP(sK49,X0)
| ~ ssList(X0) )
| spl58_2
| ~ spl58_33
| ~ spl58_85 ),
inference(forward_subsumption_resolution,[],[f73585,f73551]) ).
fof(f76655,plain,
( frontsegP(sK49,app(sK55,sK49))
| ~ ssList(app(sK55,sK49))
| ~ ssList(sK49)
| ~ ssList(app(sK55,sK49))
| spl58_2
| ~ spl58_33
| ~ spl58_85 ),
inference(resolution,[],[f76654,f1260]) ).
fof(f76656,plain,
( ! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(sK49)
| ~ frontsegP(app(sK55,sK49),X0)
| ~ ssList(app(sK55,sK49)) )
| spl58_2
| ~ spl58_33
| ~ spl58_85 ),
inference(resolution,[],[f76654,f341]) ).
fof(f76664,plain,
( ! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ ssList(sK49)
| ~ frontsegP(app(sK55,sK49),X0)
| ~ ssList(app(sK55,sK49)) )
| spl58_2
| ~ spl58_33
| ~ spl58_85 ),
inference(duplicate_literal_removal,[],[f76656]) ).
fof(f76665,plain,
( frontsegP(sK49,app(sK55,sK49))
| ~ ssList(app(sK55,sK49))
| ~ ssList(sK49)
| spl58_2
| ~ spl58_33
| ~ spl58_85 ),
inference(duplicate_literal_removal,[],[f76655]) ).
fof(f76668,plain,
( ! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ frontsegP(app(sK55,sK49),X0)
| ~ ssList(app(sK55,sK49)) )
| spl58_2
| ~ spl58_33
| ~ spl58_85 ),
inference(forward_subsumption_resolution,[],[f76664,f434]) ).
fof(f76669,plain,
( frontsegP(sK49,app(sK55,sK49))
| ~ ssList(sK49)
| spl58_2
| ~ spl58_33
| ~ spl58_38
| ~ spl58_85 ),
inference(forward_subsumption_resolution,[],[f76665,f73480]) ).
fof(f76670,plain,
( ! [X0] :
( ~ frontsegP(app(sK55,sK49),X0)
| ~ ssList(X0)
| frontsegP(sK49,X0) )
| spl58_2
| ~ spl58_33
| ~ spl58_38
| ~ spl58_85 ),
inference(forward_subsumption_resolution,[],[f76668,f73480]) ).
fof(f76671,plain,
( frontsegP(sK49,app(sK55,sK49))
| spl58_2
| ~ spl58_33
| ~ spl58_38
| ~ spl58_85 ),
inference(forward_subsumption_resolution,[],[f76669,f434]) ).
fof(f77764,plain,
( sK52 = sK44(sK55)
| spl58_2
| spl58_6
| ~ spl58_44
| ~ spl58_98
| ~ spl58_99 ),
inference(forward_subsumption_resolution,[],[f74628,f11168]) ).
fof(f77889,plain,
( frontsegP(nil,sK43(sK55))
| spl58_2
| spl58_6
| ~ spl58_44
| ~ spl58_98
| ~ spl58_99 ),
inference(forward_subsumption_resolution,[],[f74630,f11168]) ).
fof(f77890,plain,
( nil = sK43(sK55)
| ~ ssList(sK43(sK55))
| spl58_2
| spl58_6
| ~ spl58_44
| ~ spl58_98
| ~ spl58_99 ),
inference(resolution,[],[f77889,f347]) ).
fof(f77937,plain,
( nil = sK43(sK55)
| spl58_2
| spl58_6
| ~ spl58_44
| ~ spl58_98
| ~ spl58_99 ),
inference(forward_subsumption_resolution,[],[f77890,f70298]) ).
fof(f77965,plain,
( sK55 = cons(sK44(sK55),nil)
| spl58_2
| spl58_6
| ~ spl58_44
| ~ spl58_98
| ~ spl58_99 ),
inference(superposition,[],[f74099,f77937]) ).
fof(f77970,plain,
( sK55 = cons(sK52,nil)
| spl58_2
| spl58_6
| ~ spl58_44
| ~ spl58_98
| ~ spl58_99 ),
inference(forward_demodulation,[],[f77965,f77764]) ).
fof(f77972,plain,
( sK49 = sK55
| spl58_2
| spl58_6
| ~ spl58_44
| ~ spl58_98
| ~ spl58_99 ),
inference(forward_demodulation,[],[f77970,f2203]) ).
fof(f77973,plain,
( spl58_43
| spl58_2
| spl58_6
| ~ spl58_44
| ~ spl58_98
| ~ spl58_99 ),
inference(avatar_split_clause,[],[f77972,f70297,f70293,f11167,f1089,f477,f11163]) ).
fof(f87498,plain,
( ~ ssList(sK55)
| frontsegP(sK49,sK55)
| ~ ssList(sK49)
| ~ ssList(sK55)
| spl58_2
| ~ spl58_33
| ~ spl58_38
| ~ spl58_85 ),
inference(resolution,[],[f76670,f1260]) ).
fof(f87508,plain,
( ~ ssList(sK55)
| frontsegP(sK49,sK55)
| ~ ssList(sK49)
| spl58_2
| ~ spl58_33
| ~ spl58_38
| ~ spl58_85 ),
inference(duplicate_literal_removal,[],[f87498]) ).
fof(f87512,plain,
( frontsegP(sK49,sK55)
| ~ ssList(sK49)
| spl58_2
| ~ spl58_33
| ~ spl58_38
| ~ spl58_85 ),
inference(forward_subsumption_resolution,[],[f87508,f424]) ).
fof(f87519,plain,
( frontsegP(sK49,sK55)
| spl58_2
| ~ spl58_33
| ~ spl58_38
| ~ spl58_85 ),
inference(forward_subsumption_resolution,[],[f87512,f434]) ).
fof(f87648,plain,
( spl58_44
| spl58_2
| ~ spl58_33
| ~ spl58_38
| ~ spl58_85 ),
inference(avatar_split_clause,[],[f87519,f62092,f8102,f4966,f477,f11167]) ).
fof(f87858,plain,
( frontsegP(sK49,app(sK49,sK49))
| spl58_2
| ~ spl58_33
| ~ spl58_38
| ~ spl58_43
| ~ spl58_85 ),
inference(superposition,[],[f76671,f11165]) ).
fof(f87909,plain,
( frontsegP(sK49,cons(sK52,sK49))
| spl58_2
| ~ spl58_33
| ~ spl58_38
| ~ spl58_43
| ~ spl58_85 ),
inference(forward_demodulation,[],[f87858,f3830]) ).
fof(f87971,plain,
( $false
| spl58_2
| ~ spl58_33
| ~ spl58_38
| ~ spl58_43
| ~ spl58_85 ),
inference(forward_subsumption_resolution,[],[f87909,f16534]) ).
fof(f87972,plain,
( spl58_2
| ~ spl58_33
| ~ spl58_38
| ~ spl58_43
| ~ spl58_85 ),
inference(avatar_contradiction_clause,[],[f87971]) ).
fof(f88005,plain,
( ~ ssList(app(sK55,cons(sK51,nil)))
| spl58_33
| ~ spl58_39 ),
inference(forward_subsumption_resolution,[],[f4974,f8107]) ).
fof(f88030,plain,
( $false
| spl58_33
| ~ spl58_38
| ~ spl58_39 ),
inference(forward_subsumption_resolution,[],[f88005,f8103]) ).
fof(f88031,plain,
( spl58_33
| ~ spl58_38
| ~ spl58_39 ),
inference(avatar_contradiction_clause,[],[f88030]) ).
fof(f89185,plain,
( ! [X0] :
( ~ memberP(app(app(sK55,cons(sK51,nil)),cons(sK51,nil)),X0)
| memberP(sK49,X0)
| ~ ssItem(X0) )
| ~ spl58_33 ),
inference(forward_subsumption_resolution,[],[f2344,f4967]) ).
fof(f89195,plain,
( memberP(sK49,sK51)
| ~ ssItem(sK51)
| ~ ssItem(sK51)
| ~ ssList(nil)
| ~ ssList(app(sK55,cons(sK51,nil)))
| ~ ssList(app(app(sK55,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl58_33 ),
inference(resolution,[],[f89185,f441]) ).
fof(f89196,plain,
( memberP(sK49,sK51)
| ~ ssItem(sK51)
| ~ ssList(nil)
| ~ ssList(app(sK55,cons(sK51,nil)))
| ~ ssList(app(app(sK55,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl58_33 ),
inference(duplicate_literal_removal,[],[f89195]) ).
fof(f89199,plain,
( memberP(sK49,sK51)
| ~ ssList(nil)
| ~ ssList(app(sK55,cons(sK51,nil)))
| ~ ssList(app(app(sK55,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl58_33 ),
inference(forward_subsumption_resolution,[],[f89196,f430]) ).
fof(f89202,plain,
( memberP(sK49,sK51)
| ~ ssList(app(sK55,cons(sK51,nil)))
| ~ ssList(app(app(sK55,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl58_33 ),
inference(forward_subsumption_resolution,[],[f89199,f306]) ).
fof(f89205,plain,
( memberP(sK49,sK51)
| ~ ssList(app(app(sK55,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl58_33
| ~ spl58_38 ),
inference(forward_subsumption_resolution,[],[f89202,f8103]) ).
fof(f89206,plain,
( memberP(sK49,sK51)
| ~ spl58_33
| ~ spl58_38 ),
inference(forward_subsumption_resolution,[],[f89205,f4967]) ).
fof(f89207,plain,
( sK51 = sK52
| ~ ssItem(sK51)
| spl58_2
| ~ spl58_33
| ~ spl58_38 ),
inference(resolution,[],[f89206,f3726]) ).
fof(f89288,plain,
( ~ ssItem(sK51)
| spl58_2
| ~ spl58_33
| ~ spl58_38
| spl58_85 ),
inference(forward_subsumption_resolution,[],[f89207,f62093]) ).
fof(f89329,plain,
( $false
| spl58_2
| ~ spl58_33
| ~ spl58_38
| spl58_85 ),
inference(forward_subsumption_resolution,[],[f89288,f430]) ).
fof(f89330,plain,
( spl58_2
| ~ spl58_33
| ~ spl58_38
| spl58_85 ),
inference(avatar_contradiction_clause,[],[f89329]) ).
fof(f89967,plain,
( nil = app(app(sK54,sK49),sK56)
| nil = sK49
| ~ spl58_2 ),
inference(forward_demodulation,[],[f422,f479]) ).
fof(f91265,plain,
( $false
| ~ spl58_3
| ~ spl58_38
| ~ spl58_39
| ~ spl58_40 ),
inference(forward_subsumption_resolution,[],[f68442,f68406]) ).
fof(f91266,plain,
( ~ spl58_3
| ~ spl58_38
| ~ spl58_39
| ~ spl58_40 ),
inference(avatar_contradiction_clause,[],[f91265]) ).
fof(f91889,plain,
( nil = app(app(sK54,sK49),sK56)
| ~ spl58_2
| spl58_3 ),
inference(forward_subsumption_resolution,[],[f89967,f484]) ).
fof(f92099,plain,
( ~ segmentP(sK49,nil)
| ~ ssList(sK56)
| ~ ssList(sK54)
| ~ ssList(nil)
| ~ ssList(sK49)
| nil = sK49
| ~ spl58_2
| spl58_3 ),
inference(superposition,[],[f2811,f91889]) ).
fof(f92106,plain,
( ~ ssList(sK56)
| ~ ssList(sK54)
| ~ ssList(nil)
| ~ ssList(sK49)
| nil = sK49
| ~ spl58_2
| spl58_3 ),
inference(forward_subsumption_resolution,[],[f92099,f359]) ).
fof(f92134,plain,
( ~ ssList(sK54)
| ~ ssList(nil)
| ~ ssList(sK49)
| nil = sK49
| ~ spl58_1
| ~ spl58_2
| spl58_3 ),
inference(forward_subsumption_resolution,[],[f92106,f475]) ).
fof(f92162,plain,
( ~ ssList(nil)
| ~ ssList(sK49)
| nil = sK49
| ~ spl58_1
| ~ spl58_2
| spl58_3
| ~ spl58_4 ),
inference(forward_subsumption_resolution,[],[f92134,f490]) ).
fof(f92173,plain,
( ~ ssList(sK49)
| nil = sK49
| ~ spl58_1
| ~ spl58_2
| spl58_3
| ~ spl58_4 ),
inference(forward_subsumption_resolution,[],[f92162,f306]) ).
fof(f92179,plain,
( nil = sK49
| ~ spl58_1
| ~ spl58_2
| spl58_3
| ~ spl58_4 ),
inference(forward_subsumption_resolution,[],[f92173,f434]) ).
fof(f92181,plain,
( $false
| ~ spl58_1
| ~ spl58_2
| spl58_3
| ~ spl58_4 ),
inference(forward_subsumption_resolution,[],[f92179,f484]) ).
fof(f92182,plain,
( ~ spl58_1
| ~ spl58_2
| spl58_3
| ~ spl58_4 ),
inference(avatar_contradiction_clause,[],[f92181]) ).
cnf(s2,plain,
( spl58_1
| spl58_3 ),
inference(sat_conversion,[],[f486]) ).
cnf(s3,plain,
( spl58_3
| spl58_4 ),
inference(sat_conversion,[],[f491]) ).
cnf(s38,plain,
( ~ spl58_38
| ~ spl58_39
| spl58_40 ),
inference(sat_conversion,[],[f8113]) ).
cnf(s39,plain,
( spl58_38
| ~ spl58_39 ),
inference(sat_conversion,[],[f8233]) ).
cnf(s40,plain,
spl58_39,
inference(sat_conversion,[],[f8237]) ).
cnf(s114,plain,
( spl58_6
| spl58_98 ),
inference(sat_conversion,[],[f70308]) ).
cnf(s121,plain,
( spl58_2
| ~ spl58_6
| ~ spl58_33
| ~ spl58_39
| ~ spl58_85 ),
inference(sat_conversion,[],[f73518]) ).
cnf(s122,plain,
( spl58_6
| spl58_99 ),
inference(sat_conversion,[],[f74098]) ).
cnf(s124,plain,
( spl58_2
| spl58_6
| spl58_43
| ~ spl58_44
| ~ spl58_98
| ~ spl58_99 ),
inference(sat_conversion,[],[f77973]) ).
cnf(s155,plain,
( spl58_2
| ~ spl58_33
| ~ spl58_38
| spl58_44
| ~ spl58_85 ),
inference(sat_conversion,[],[f87648]) ).
cnf(s161,plain,
( spl58_2
| ~ spl58_33
| ~ spl58_38
| ~ spl58_43
| ~ spl58_85 ),
inference(sat_conversion,[],[f87972]) ).
cnf(s162,plain,
( spl58_33
| ~ spl58_38
| ~ spl58_39 ),
inference(sat_conversion,[],[f88031]) ).
cnf(s163,plain,
( spl58_2
| ~ spl58_33
| ~ spl58_38
| spl58_85 ),
inference(sat_conversion,[],[f89330]) ).
cnf(s177,plain,
( ~ spl58_3
| ~ spl58_38
| ~ spl58_39
| ~ spl58_40 ),
inference(sat_conversion,[],[f91266]) ).
cnf(s183,plain,
( ~ spl58_1
| ~ spl58_2
| spl58_3
| ~ spl58_4 ),
inference(sat_conversion,[],[f92182]) ).
cnf(s192,plain,
spl58_38,
inference(rat,[],[s39,s40]) ).
cnf(s193,plain,
spl58_33,
inference(rat,[],[s162,s40,s192]) ).
cnf(s194,plain,
spl58_40,
inference(rat,[],[s38,s40,s192]) ).
cnf(s195,plain,
~ spl58_3,
inference(rat,[],[s177,s192,s40,s194]) ).
cnf(s201,plain,
spl58_4,
inference(rat,[],[s3,s195]) ).
cnf(s207,plain,
spl58_1,
inference(rat,[],[s2,s195]) ).
cnf(s208,plain,
~ spl58_2,
inference(rat,[],[s183,s201,s195,s207]) ).
cnf(s213,plain,
spl58_85,
inference(rat,[],[s163,s193,s192,s208]) ).
cnf(s214,plain,
~ spl58_43,
inference(rat,[],[s161,s213,s193,s192,s208]) ).
cnf(s215,plain,
spl58_44,
inference(rat,[],[s155,s213,s193,s192,s208]) ).
cnf(s217,plain,
~ spl58_6,
inference(rat,[],[s121,s213,s40,s193,s208]) ).
cnf(s226,plain,
spl58_99,
inference(rat,[],[s122,s217]) ).
cnf(s227,plain,
spl58_98,
inference(rat,[],[s114,s217]) ).
cnf(s234,plain,
$false,
inference(rat,[],[s124,s217,s208,s215,s214,s226,s227]) ).
fof(f92183,plain,
$false,
inference(avatar_sat_refutation,[],[s234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC165+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 08:15:15 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.75/1.87 % (2880683)Will run a generic schedule for satisfiability detection.
% 7.75/1.87 % (2880693)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3743401724:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.75/1.87 % (2880689)% WARNING: option uhcvi not known.
% 7.75/1.87 % (2880688)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3644954127_2999 on theBenchmark for (2999ds/0Mi)
% 7.75/1.87 % (2880689)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4220409441:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.75/1.87 % (2880690)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2517937909:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.75/1.87 % (2880691)dis+10_1_sil=32000:sp=arity:random_seed=844563472:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.75/1.87 % (2880692)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3617539307:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.75/1.87 % (2880694)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3863688937:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.75/1.87 % TRYING [1]
% 7.75/1.87 % TRYING [2]
% 7.75/1.87 % TRYING [3]
% 7.75/1.87 % (2880693)Instruction limit reached!
% 7.75/1.87 % (2880693)------------------------------
% 7.75/1.87 % (2880693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.75/1.87 % (2880693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.87 % (2880693)CaDiCaL version: 2.1.3
% 7.75/1.87 % (2880693)Termination reason: Instruction limit
% 7.75/1.87 % (2880693)Termination phase: Saturation
% 7.75/1.87 % (2880693)Time elapsed: 0.044 s
% 7.75/1.87 % (2880693)Peak memory usage: 14 MB
% 7.75/1.87 % (2880693)Instructions burned: 133 (million)
% 7.75/1.87 % TRYING [4]
% 7.75/1.87 % (2880702)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4087414000:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.75/1.87 % TRYING [1]
% 7.75/1.87 % TRYING [2]
% 7.75/1.87 % TRYING [3]
% 7.75/1.87 % (2880691)Instruction limit reached!
% 7.75/1.87 % (2880691)------------------------------
% 7.75/1.87 % (2880691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.75/1.87 % (2880691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.87 % (2880691)CaDiCaL version: 2.1.3
% 7.75/1.87 % (2880691)Termination reason: Instruction limit
% 7.75/1.87 % (2880691)Termination phase: Saturation
% 7.75/1.87 % (2880691)Time elapsed: 0.062 s
% 7.75/1.87 % (2880691)Peak memory usage: 13 MB
% 7.75/1.87 % (2880691)Instructions burned: 104 (million)
% 7.75/1.87 % (2880692)Instruction limit reached!
% 7.75/1.87 % (2880692)------------------------------
% 7.75/1.87 % (2880692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.75/1.87 % TRYING [4]
% 7.75/1.87 % (2880692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.87 % (2880692)CaDiCaL version: 2.1.3
% 7.75/1.87 % (2880692)Termination reason: Instruction limit
% 7.75/1.87 % (2880692)Termination phase: Saturation
% 7.75/1.87 % (2880692)Time elapsed: 0.070 s
% 7.75/1.87 % (2880692)Peak memory usage: 13 MB
% 7.75/1.87 % (2880692)Instructions burned: 117 (million)
% 7.75/1.87 % (2880704)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3129382982:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.75/1.87 % (2880705)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=667761490:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.75/1.87 % TRYING [5]
% 7.75/1.87 % TRYING [5]
% 7.75/1.87 % (2880694)Instruction limit reached!
% 7.75/1.87 % (2880694)------------------------------
% 7.75/1.87 % (2880694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.75/1.87 % (2880694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.87 % (2880694)CaDiCaL version: 2.1.3
% 7.75/1.87 % (2880694)Termination reason: Instruction limit
% 7.75/1.87 % (2880694)Termination phase: Saturation
% 7.75/1.87 % (2880694)Time elapsed: 0.104 s
% 7.75/1.87 % (2880694)Peak memory usage: 15 MB
% 7.75/1.87 % (2880694)Instructions burned: 160 (million)
% 7.75/1.87 % (2880708)ott-21_1_sil=16000:fs=off:random_seed=1247206544:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.75/1.87 % (2880704)Instruction limit reached!
% 7.75/1.87 % (2880704)------------------------------
% 7.75/1.87 % (2880704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.60/4.00 % (2880704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/4.00 % (2880704)CaDiCaL version: 2.1.3
% 24.60/4.00 % (2880704)Termination reason: Instruction limit
% 24.60/4.00 % (2880704)Termination phase: Saturation
% 24.60/4.00 % (2880704)Time elapsed: 0.071 s
% 24.60/4.00 % (2880704)Peak memory usage: 13 MB
% 24.60/4.00 % (2880704)Instructions burned: 132 (million)
% 24.60/4.00 % (2880710)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1626390549:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 24.60/4.00 % (2880708)Instruction limit reached!
% 24.60/4.00 % (2880708)------------------------------
% 24.60/4.00 % (2880708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.60/4.00 % (2880708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/4.00 % (2880708)CaDiCaL version: 2.1.3
% 24.60/4.00 % (2880708)Termination reason: Instruction limit
% 24.60/4.00 % (2880708)Termination phase: Saturation
% 24.60/4.00 % (2880708)Time elapsed: 0.089 s
% 24.60/4.00 % (2880708)Peak memory usage: 14 MB
% 24.60/4.00 % (2880708)Instructions burned: 181 (million)
% 24.60/4.00 % (2880702)Instruction limit reached!
% 24.60/4.00 % (2880702)------------------------------
% 24.60/4.00 % (2880702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.60/4.00 % (2880702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/4.00 % (2880702)CaDiCaL version: 2.1.3
% 24.60/4.00 % (2880702)Termination reason: Instruction limit
% 24.60/4.00 % (2880702)Termination phase: Finite model building SAT solving
% 24.60/4.00 % (2880702)Time elapsed: 0.167 s
% 24.60/4.00 % (2880702)Peak memory usage: 33 MB
% 24.60/4.00 % (2880702)Instructions burned: 715 (million)
% 24.60/4.00 % (2880713)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=704959992:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 24.60/4.00 % TRYING [6]
% 24.60/4.00 % (2880712)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1616744469:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 24.60/4.00 % TRYING [1]
% 24.60/4.00 % TRYING [2]
% 24.60/4.00 % TRYING [3]
% 24.60/4.00 % TRYING [4]
% 24.60/4.00 % TRYING [5]
% 24.60/4.00 % (2880705)Instruction limit reached!
% 24.60/4.00 % (2880705)------------------------------
% 24.60/4.00 % (2880705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.60/4.00 % (2880705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/4.00 % (2880705)CaDiCaL version: 2.1.3
% 24.60/4.00 % (2880705)Termination reason: Instruction limit
% 24.60/4.00 % (2880705)Termination phase: Saturation
% 24.60/4.00 % (2880705)Time elapsed: 0.365 s
% 24.60/4.00 % (2880705)Peak memory usage: 21 MB
% 24.60/4.00 % (2880705)Instructions burned: 685 (million)
% 24.60/4.00 % (2880716)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3638678617:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 24.60/4.00 % (2880710)Instruction limit reached!
% 24.60/4.00 % (2880710)------------------------------
% 24.60/4.00 % (2880710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.60/4.00 % (2880710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/4.00 % (2880710)CaDiCaL version: 2.1.3
% 24.60/4.00 % (2880710)Termination reason: Instruction limit
% 24.60/4.00 % (2880710)Termination phase: Saturation
% 24.60/4.00 % (2880710)Time elapsed: 0.341 s
% 24.60/4.00 % (2880710)Peak memory usage: 15 MB
% 24.60/4.00 % (2880710)Instructions burned: 477 (million)
% 24.60/4.00 % TRYING [7]
% 24.60/4.00 % (2880718)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=847365053: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)
% 24.60/4.00 % (2880713)Instruction limit reached!
% 24.60/4.00 % (2880713)------------------------------
% 24.60/4.00 % (2880713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.60/4.00 % (2880713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/4.00 % (2880713)CaDiCaL version: 2.1.3
% 24.60/4.00 % (2880713)Termination reason: Instruction limit
% 24.60/4.00 % (2880713)Termination phase: Saturation
% 24.60/4.00 % (2880713)Time elapsed: 0.341 s
% 24.60/4.00 % (2880713)Peak memory usage: 25 MB
% 24.60/4.00 % (2880713)Instructions burned: 1181 (million)
% 24.60/4.00 % (2880712)Instruction limit reached!
% 24.60/4.00 % (2880712)------------------------------
% 24.60/4.00 % (2880712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.60/4.00 % (2880712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/4.00 % (2880712)CaDiCaL version: 2.1.3
% 24.60/4.00 % (2880712)Termination reason: Instruction limit
% 24.60/4.00 % (2880712)Termination phase: Finite model building SAT solving
% 24.60/4.00 % (2880712)Time elapsed: 0.345 s
% 24.60/4.00 % (2880712)Peak memory usage: 23 MB
% 24.60/4.00 % (2880712)Instructions burned: 866 (million)
% 24.60/4.00 % (2880720)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2761010693:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 24.60/4.00 % TRYING [14]
% 24.60/4.00 % (2880722)fmb+10_1_sil=64000:random_seed=1135489637:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 24.60/4.00 % TRYING [1]
% 24.60/4.00 % TRYING [2]
% 24.60/4.00 % TRYING [3]
% 24.60/4.00 % TRYING [4]
% 24.60/4.00 % (2880716)Instruction limit reached!
% 24.60/4.00 % (2880716)------------------------------
% 24.60/4.00 % (2880716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.60/4.00 % (2880716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/4.00 % (2880716)CaDiCaL version: 2.1.3
% 24.60/4.00 % (2880716)Termination reason: Instruction limit
% 24.60/4.00 % (2880716)Termination phase: Finite model building constraint generation
% 24.60/4.00 % (2880716)Time elapsed: 0.331 s
% 24.60/4.00 % (2880716)Peak memory usage: 75 MB
% 24.60/4.00 % (2880716)Instructions burned: 892 (million)
% 24.60/4.00 % (2880720)Instruction limit reached!
% 24.60/4.00 % (2880720)------------------------------
% 24.60/4.00 % (2880720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.60/4.00 % (2880720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/4.00 % (2880720)CaDiCaL version: 2.1.3
% 24.60/4.00 % (2880720)Termination reason: Instruction limit
% 24.60/4.00 % (2880720)Termination phase: Saturation
% 24.60/4.00 % (2880720)Time elapsed: 0.252 s
% 24.60/4.00 % (2880720)Peak memory usage: 20 MB
% 24.60/4.00 % (2880720)Instructions burned: 879 (million)
% 24.60/4.00 % (2880724)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4038558698:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 24.60/4.00 % TRYING [5]
% 24.60/4.00 % (2880726)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2877646395:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 24.60/4.00 % TRYING [20]
% 24.60/4.00 % TRYING [8]
% 24.60/4.00 % (2880718)Instruction limit reached!
% 24.60/4.00 % (2880718)------------------------------
% 24.60/4.00 % (2880718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.60/4.00 % (2880718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/4.00 % (2880718)CaDiCaL version: 2.1.3
% 24.60/4.00 % (2880718)Termination reason: Instruction limit
% 24.60/4.00 % (2880718)Termination phase: Saturation
% 24.60/4.00 % (2880718)Time elapsed: 0.363 s
% 24.60/4.00 % (2880718)Peak memory usage: 21 MB
% 24.60/4.00 % (2880718)Instructions burned: 692 (million)
% 24.60/4.00 % (2880728)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2026640251:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 24.60/4.00 % (2880726)Instruction limit reached!
% 24.60/4.00 % (2880726)------------------------------
% 24.60/4.00 % (2880726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.60/4.00 % (2880726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/4.00 % (2880726)CaDiCaL version: 2.1.3
% 24.60/4.00 % (2880726)Termination reason: Instruction limit
% 24.60/4.00 % (2880726)Termination phase: Finite model building constraint generation
% 24.60/4.00 % (2880726)Time elapsed: 0.187 s
% 24.60/4.00 % (2880726)Peak memory usage: 71 MB
% 24.60/4.00 % (2880726)Instructions burned: 923 (million)
% 24.60/4.00 % (2880730)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1757572013:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 24.60/4.00 % TRYING [8]
% 24.60/4.00 % TRYING [6]
% 24.60/4.00 % (2880730)Instruction limit reached!
% 24.60/4.00 % (2880730)------------------------------
% 24.60/4.00 % (2880730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.60/4.00 % (2880730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/4.00 % (2880730)CaDiCaL version: 2.1.3
% 24.60/4.00 % (2880730)Termination reason: Instruction limit
% 24.60/4.00 % (2880730)Termination phase: Saturation
% 24.60/4.00 % (2880730)Time elapsed: 0.347 s
% 24.60/4.00 % (2880730)Peak memory usage: 22 MB
% 24.60/4.00 % (2880730)Instructions burned: 1475 (million)
% 24.60/4.00 % (2880732)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=95032059:i=6324_2985 on theBenchmark for (2985ds/6324Mi)
% 24.60/4.01 % TRYING [77]
% 24.60/4.01 % TRYING [7]
% 24.60/4.01 % TRYING [9]
% 24.60/4.01 % (2880732)Instruction limit reached!
% 24.60/4.01 % (2880732)------------------------------
% 24.60/4.01 % (2880732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.60/4.01 % (2880732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/4.01 % (2880732)CaDiCaL version: 2.1.3
% 24.60/4.01 % (2880732)Termination reason: Instruction limit
% 24.60/4.01 % (2880732)Termination phase: Finite model building constraint generation
% 24.60/4.01 % (2880732)Time elapsed: 1.221 s
% 24.60/4.01 % (2880732)Peak memory usage: 411 MB
% 24.60/4.01 % (2880732)Instructions burned: 6328 (million)
% 24.60/4.01 % (2880734)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2496659105:fmbsr=2.30978:i=2174_2973 on theBenchmark for (2973ds/2174Mi)
% 24.60/4.01 % TRYING [16]
% 24.60/4.01 % (2880734)Instruction limit reached!
% 24.60/4.01 % (2880734)------------------------------
% 24.60/4.01 % (2880734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.60/4.01 % (2880734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/4.01 % (2880734)CaDiCaL version: 2.1.3
% 24.60/4.01 % (2880734)Termination reason: Instruction limit
% 24.60/4.01 % (2880734)Termination phase: Finite model building constraint generation
% 24.60/4.01 % (2880734)Time elapsed: 0.411 s
% 24.60/4.01 % (2880734)Peak memory usage: 138 MB
% 24.60/4.01 % (2880734)Instructions burned: 2178 (million)
% 24.60/4.01 % (2880736)ott-2_1_sil=16000:newcnf=on:random_seed=2060859268:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2968 on theBenchmark for (2968ds/869Mi)
% 24.60/4.01 % (2880736)Instruction limit reached!
% 24.60/4.01 % (2880736)------------------------------
% 24.60/4.01 % (2880736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.60/4.01 % (2880736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/4.01 % (2880736)CaDiCaL version: 2.1.3
% 24.60/4.01 % (2880736)Termination reason: Instruction limit
% 24.60/4.01 % (2880736)Termination phase: Saturation
% 24.60/4.01 % (2880736)Time elapsed: 0.260 s
% 24.60/4.01 % (2880736)Peak memory usage: 23 MB
% 24.60/4.01 % (2880736)Instructions burned: 872 (million)
% 24.60/4.01 % (2880738)ott+10_1_sil=32000:tgt=ground:random_seed=2474301629:i=5114:av=off_2965 on theBenchmark for (2965ds/5114Mi)
% 24.60/4.01 % (2880728) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2880683-2880728"...
% 24.60/4.01 % (2880728)...printing done.
% 24.60/4.01 % (2880728)Refutation found. Thanks to Tanya!
% 24.60/4.01 % SZS status Theorem for theBenchmark
% 24.60/4.01 % SZS output start Proof for theBenchmark
% See solution above
% 24.60/4.01 % (2880728)------------------------------
% 24.60/4.01 % (2880728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.60/4.01 % (2880728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.60/4.01 % (2880728)CaDiCaL version: 2.1.3
% 24.60/4.01 % (2880728)Termination reason: Refutation
% 24.60/4.01 % (2880728)Time elapsed: 2.543 s
% 24.60/4.01 % (2880728)Peak memory usage: 48 MB
% 24.60/4.01 % (2880728)Instructions burned: 4719 (million)
% 24.60/4.01 % (2880683)Success in time 3.582 s
% 24.60/4.01 % Vampire exiting
%------------------------------------------------------------------------------