%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC297+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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:05:26 PM UTC 2026
% Result : Theorem 6.32s 1.61s
% Output : Refutation 6.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 38
% Syntax : Number of formulae : 316 ( 32 unt; 14 def)
% Number of atoms : 1299 ( 167 equ)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 1755 ( 772 ~; 832 |; 53 &)
% ( 32 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 15 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 239 ( 0 sgn 211 !; 28 ?)
% 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(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
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(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(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax46) ).
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
| ! [X7] :
( ssItem(X7)
=> ( ( ~ memberP(X5,X7)
| lt(X7,X4) )
& ( ~ memberP(X6,X7)
| lt(X4,X7) ) ) ) ) ) ) )
| ( nil != X2
& nil = X3 )
| ( ! [X8] :
( ssItem(X8)
=> ( cons(X8,nil) != X2
| ~ memberP(X3,X8) ) )
& neq(X3,nil) ) ) ) ) ) ),
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
| ! [X7] :
( ssItem(X7)
=> ( ( ~ memberP(X5,X7)
| lt(X7,X4) )
& ( ~ memberP(X6,X7)
| lt(X4,X7) ) ) ) ) ) ) )
| ( nil != X2
& nil = X3 )
| ( ! [X8] :
( ssItem(X8)
=> ( cons(X8,nil) != X2
| ~ memberP(X3,X8) ) )
& neq(X3,nil) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f126,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f126]) ).
fof(f129,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f134,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f148,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X0,X1)
| ~ frontsegP(X1,X0)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X0,X1)
| ~ frontsegP(X1,X0)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f151]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( X0 = X1
& frontsegP(X2,X3) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f158,plain,
! [X0] :
( ( frontsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f176,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(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] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ? [X7] :
( ( ( memberP(X5,X7)
& ~ lt(X7,X4) )
| ( memberP(X6,X7)
& ~ lt(X4,X7) ) )
& ssItem(X7) )
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& ( nil = X2
| nil != X3 )
& ( ? [X8] :
( cons(X8,nil) = X2
& memberP(X3,X8)
& ssItem(X8) )
| ~ neq(X3,nil) )
& 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] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ? [X7] :
( ( ( memberP(X5,X7)
& ~ lt(X7,X4) )
| ( memberP(X6,X7)
& ~ lt(X4,X7) ) )
& ssItem(X7) )
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& ( nil = X2
| nil != X3 )
& ( ? [X8] :
( cons(X8,nil) = X2
& memberP(X3,X8)
& ssItem(X8) )
| ~ neq(X3,nil) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
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(f303,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X1)
| X0 = X1
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f118]) ).
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(f314,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f316,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f317,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
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(f331,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ memberP(X2,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f146]) ).
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(f361,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f389,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f392,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f399,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f412,plain,
( memberP(sK54,sK55)
| memberP(sK53,sK55) ),
inference(cnf_transformation,[],[f222]) ).
fof(f415,plain,
ssItem(sK55),
inference(cnf_transformation,[],[f222]) ).
fof(f416,plain,
ssList(sK54),
inference(cnf_transformation,[],[f222]) ).
fof(f417,plain,
sK47 = app(app(sK53,cons(sK51,nil)),sK54),
inference(cnf_transformation,[],[f222]) ).
fof(f418,plain,
ssList(sK53),
inference(cnf_transformation,[],[f222]) ).
fof(f419,plain,
( ~ neq(sK50,nil)
| ssItem(sK52) ),
inference(cnf_transformation,[],[f222]) ).
fof(f421,plain,
( ~ neq(sK50,nil)
| sK49 = cons(sK52,nil) ),
inference(cnf_transformation,[],[f222]) ).
fof(f422,plain,
ssItem(sK51),
inference(cnf_transformation,[],[f222]) ).
fof(f423,plain,
( nil != sK50
| nil = sK49 ),
inference(cnf_transformation,[],[f222]) ).
fof(f424,plain,
ssList(sK50),
inference(cnf_transformation,[],[f222]) ).
fof(f425,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f427,plain,
ssList(sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f432,plain,
sK49 = app(app(sK53,cons(sK51,nil)),sK54),
inference(definition_unfolding,[],[f417,f425]) ).
fof(f434,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f228]) ).
fof(f436,plain,
! [X2,X1] :
( ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X1,X2),X1) ),
inference(equality_resolution,[],[f237]) ).
fof(f438,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f241]) ).
fof(f466,definition,
( spl56_1
<=> ssItem(sK52) ),
introduced(definition,[new_symbols(definition,[spl56_1])],[avatar_definition]) ).
fof(f468,plain,
( ssItem(sK52)
| ~ spl56_1 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f470,definition,
( spl56_2
<=> neq(sK50,nil) ),
introduced(definition,[new_symbols(definition,[spl56_2])],[avatar_definition]) ).
fof(f471,plain,
( neq(sK50,nil)
| ~ spl56_2 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f472,plain,
( ~ neq(sK50,nil)
| spl56_2 ),
inference(avatar_component_clause,[],[f470]) ).
fof(f473,plain,
( spl56_1
| ~ spl56_2 ),
inference(avatar_split_clause,[],[f419,f470,f466]) ).
fof(f479,definition,
( spl56_4
<=> memberP(sK54,sK55) ),
introduced(definition,[new_symbols(definition,[spl56_4])],[avatar_definition]) ).
fof(f481,plain,
( memberP(sK54,sK55)
| ~ spl56_4 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f484,definition,
( spl56_5
<=> memberP(sK53,sK55) ),
introduced(definition,[new_symbols(definition,[spl56_5])],[avatar_definition]) ).
fof(f485,plain,
( ~ memberP(sK53,sK55)
| spl56_5 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f486,plain,
( memberP(sK53,sK55)
| ~ spl56_5 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f487,plain,
( spl56_5
| spl56_4 ),
inference(avatar_split_clause,[],[f412,f479,f484]) ).
fof(f494,definition,
( spl56_7
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl56_7])],[avatar_definition]) ).
fof(f495,plain,
( nil != sK49
| spl56_7 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f496,plain,
( nil = sK49
| ~ spl56_7 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f498,definition,
( spl56_8
<=> nil = sK50 ),
introduced(definition,[new_symbols(definition,[spl56_8])],[avatar_definition]) ).
fof(f500,plain,
( nil != sK50
| spl56_8 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f501,plain,
( spl56_7
| ~ spl56_8 ),
inference(avatar_split_clause,[],[f423,f498,f494]) ).
fof(f523,plain,
sK49 = app(nil,sK49),
inference(resolution,[],[f320,f427]) ).
fof(f526,plain,
sK54 = app(nil,sK54),
inference(resolution,[],[f320,f416]) ).
fof(f630,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK51,X0) != X0 ),
inference(resolution,[],[f307,f422]) ).
fof(f631,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK55,X0) != X0 ),
inference(resolution,[],[f307,f415]) ).
fof(f634,plain,
nil != cons(sK51,nil),
inference(resolution,[],[f630,f306]) ).
fof(f677,plain,
( ~ ssList(nil)
| nil = sK50
| ~ ssList(sK50)
| spl56_2 ),
inference(resolution,[],[f303,f472]) ).
fof(f682,plain,
( nil = sK50
| ~ ssList(sK50)
| spl56_2 ),
inference(forward_subsumption_resolution,[],[f677,f306]) ).
fof(f683,plain,
( ~ ssList(sK50)
| spl56_2
| spl56_8 ),
inference(forward_subsumption_resolution,[],[f682,f500]) ).
fof(f684,plain,
( $false
| spl56_2
| spl56_8 ),
inference(forward_subsumption_resolution,[],[f683,f424]) ).
fof(f685,plain,
( spl56_2
| spl56_8 ),
inference(avatar_contradiction_clause,[],[f684]) ).
fof(f861,plain,
sK49 != cons(sK55,sK49),
inference(resolution,[],[f631,f427]) ).
fof(f1081,plain,
( nil = sK53
| sK53 = cons(hd(sK53),tl(sK53)) ),
inference(resolution,[],[f389,f418]) ).
fof(f1297,definition,
( spl56_11
<=> sK51 = sK55 ),
introduced(definition,[new_symbols(definition,[spl56_11])],[avatar_definition]) ).
fof(f1299,plain,
( sK51 = sK55
| ~ spl56_11 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f1306,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f436,f318]) ).
fof(f1314,plain,
( frontsegP(sK49,app(sK53,cons(sK51,nil)))
| ~ ssList(sK54)
| ~ ssList(app(sK53,cons(sK51,nil))) ),
inference(superposition,[],[f1306,f432]) ).
fof(f1327,plain,
( frontsegP(sK49,app(sK53,cons(sK51,nil)))
| ~ ssList(app(sK53,cons(sK51,nil))) ),
inference(forward_subsumption_resolution,[],[f1314,f416]) ).
fof(f1408,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(sK54)
| ~ memberP(sK54,X0)
| ~ ssItem(X0) ),
inference(superposition,[],[f331,f432]) ).
fof(f1419,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ memberP(sK54,X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f1408,f416]) ).
fof(f1423,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(sK54)
| ~ memberP(app(sK53,cons(sK51,nil)),X0)
| ~ ssItem(X0) ),
inference(superposition,[],[f332,f432]) ).
fof(f1434,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ memberP(app(sK53,cons(sK51,nil)),X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f1423,f416]) ).
fof(f1440,plain,
! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ ssList(sK54)
| ~ frontsegP(app(sK53,cons(sK51,nil)),X0)
| ~ ssList(app(sK53,cons(sK51,nil))) ),
inference(superposition,[],[f341,f432]) ).
fof(f1458,plain,
! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ frontsegP(app(sK53,cons(sK51,nil)),X0)
| ~ ssList(app(sK53,cons(sK51,nil))) ),
inference(forward_subsumption_resolution,[],[f1440,f416]) ).
fof(f1474,definition,
( spl56_15
<=> nil = sK53 ),
introduced(definition,[new_symbols(definition,[spl56_15])],[avatar_definition]) ).
fof(f1475,plain,
( nil != sK53
| spl56_15 ),
inference(avatar_component_clause,[],[f1474]) ).
fof(f1476,plain,
( nil = sK53
| ~ spl56_15 ),
inference(avatar_component_clause,[],[f1474]) ).
fof(f1592,definition,
( spl56_17
<=> nil = sK54 ),
introduced(definition,[new_symbols(definition,[spl56_17])],[avatar_definition]) ).
fof(f1593,plain,
( nil != sK54
| spl56_17 ),
inference(avatar_component_clause,[],[f1592]) ).
fof(f1594,plain,
( nil = sK54
| ~ spl56_17 ),
inference(avatar_component_clause,[],[f1592]) ).
fof(f1688,plain,
( memberP(nil,sK55)
| ~ spl56_4
| ~ spl56_17 ),
inference(superposition,[],[f481,f1594]) ).
fof(f1702,plain,
( ~ ssItem(sK55)
| ~ spl56_4
| ~ spl56_17 ),
inference(resolution,[],[f1688,f336]) ).
fof(f1703,plain,
( $false
| ~ spl56_4
| ~ spl56_17 ),
inference(forward_subsumption_resolution,[],[f1702,f415]) ).
fof(f1704,plain,
( ~ spl56_4
| ~ spl56_17 ),
inference(avatar_contradiction_clause,[],[f1703]) ).
fof(f1706,plain,
( memberP(nil,sK55)
| ~ spl56_5
| ~ spl56_15 ),
inference(forward_demodulation,[],[f486,f1476]) ).
fof(f2015,plain,
! [X0] :
( ~ ssList(X0)
| nil = sK49
| tl(app(sK49,X0)) = app(tl(sK49),X0) ),
inference(resolution,[],[f399,f427]) ).
fof(f2361,definition,
( spl56_20
<=> ssList(app(sK53,cons(sK51,nil))) ),
introduced(definition,[new_symbols(definition,[spl56_20])],[avatar_definition]) ).
fof(f2362,plain,
( ssList(app(sK53,cons(sK51,nil)))
| ~ spl56_20 ),
inference(avatar_component_clause,[],[f2361]) ).
fof(f2363,plain,
( ~ ssList(app(sK53,cons(sK51,nil)))
| spl56_20 ),
inference(avatar_component_clause,[],[f2361]) ).
fof(f2371,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(sK53)
| spl56_20 ),
inference(resolution,[],[f2363,f318]) ).
fof(f2372,plain,
( ~ ssList(cons(sK51,nil))
| spl56_20 ),
inference(forward_subsumption_resolution,[],[f2371,f418]) ).
fof(f2380,plain,
( ~ ssItem(sK51)
| ~ ssList(nil)
| spl56_20 ),
inference(resolution,[],[f2372,f305]) ).
fof(f2381,plain,
( ~ ssList(nil)
| spl56_20 ),
inference(forward_subsumption_resolution,[],[f2380,f422]) ).
fof(f2382,plain,
( $false
| spl56_20 ),
inference(forward_subsumption_resolution,[],[f2381,f306]) ).
fof(f2383,plain,
spl56_20,
inference(avatar_contradiction_clause,[],[f2382]) ).
fof(f2491,plain,
( segmentP(sK49,cons(sK51,nil))
| ~ ssList(cons(sK51,nil))
| ~ ssList(sK54)
| ~ ssList(sK53)
| ~ ssList(sK49) ),
inference(superposition,[],[f438,f432]) ).
fof(f2496,plain,
( segmentP(sK49,cons(sK51,nil))
| ~ ssList(cons(sK51,nil))
| ~ ssList(sK53)
| ~ ssList(sK49) ),
inference(forward_subsumption_resolution,[],[f2491,f416]) ).
fof(f2502,plain,
( segmentP(sK49,cons(sK51,nil))
| ~ ssList(cons(sK51,nil))
| ~ ssList(sK49) ),
inference(forward_subsumption_resolution,[],[f2496,f418]) ).
fof(f2508,plain,
( segmentP(sK49,cons(sK51,nil))
| ~ ssList(cons(sK51,nil)) ),
inference(forward_subsumption_resolution,[],[f2502,f427]) ).
fof(f2512,plain,
( segmentP(nil,cons(sK51,nil))
| ~ ssList(cons(sK51,nil))
| ~ spl56_7 ),
inference(forward_demodulation,[],[f2508,f496]) ).
fof(f2640,definition,
( spl56_22
<=> ssList(cons(sK51,nil)) ),
introduced(definition,[new_symbols(definition,[spl56_22])],[avatar_definition]) ).
fof(f2641,plain,
( ssList(cons(sK51,nil))
| ~ spl56_22 ),
inference(avatar_component_clause,[],[f2640]) ).
fof(f2642,plain,
( ~ ssList(cons(sK51,nil))
| spl56_22 ),
inference(avatar_component_clause,[],[f2640]) ).
fof(f2644,definition,
( spl56_23
<=> segmentP(nil,cons(sK51,nil)) ),
introduced(definition,[new_symbols(definition,[spl56_23])],[avatar_definition]) ).
fof(f2646,plain,
( segmentP(nil,cons(sK51,nil))
| ~ spl56_23 ),
inference(avatar_component_clause,[],[f2644]) ).
fof(f2647,plain,
( ~ spl56_22
| spl56_23
| ~ spl56_7 ),
inference(avatar_split_clause,[],[f2512,f494,f2644,f2640]) ).
fof(f2650,plain,
( ~ ssItem(sK51)
| ~ ssList(nil)
| spl56_22 ),
inference(resolution,[],[f2642,f305]) ).
fof(f2651,plain,
( ~ ssList(nil)
| spl56_22 ),
inference(forward_subsumption_resolution,[],[f2650,f422]) ).
fof(f2652,plain,
( $false
| spl56_22 ),
inference(forward_subsumption_resolution,[],[f2651,f306]) ).
fof(f2653,plain,
spl56_22,
inference(avatar_contradiction_clause,[],[f2652]) ).
fof(f2694,plain,
( nil = cons(sK51,nil)
| ~ ssList(cons(sK51,nil))
| ~ spl56_23 ),
inference(resolution,[],[f2646,f361]) ).
fof(f2697,plain,
( ~ ssList(cons(sK51,nil))
| ~ spl56_23 ),
inference(forward_subsumption_resolution,[],[f2694,f634]) ).
fof(f2699,plain,
( $false
| ~ spl56_22
| ~ spl56_23 ),
inference(forward_subsumption_resolution,[],[f2697,f2641]) ).
fof(f2700,plain,
( ~ spl56_22
| ~ spl56_23 ),
inference(avatar_contradiction_clause,[],[f2699]) ).
fof(f2702,plain,
( frontsegP(sK49,app(sK53,cons(sK51,nil)))
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f1327,f2362]) ).
fof(f2704,plain,
( ! [X0] :
( memberP(sK49,X0)
| ~ memberP(sK54,X0)
| ~ ssItem(X0) )
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f1419,f2362]) ).
fof(f2705,plain,
( ! [X0] :
( ~ memberP(app(sK53,cons(sK51,nil)),X0)
| memberP(sK49,X0)
| ~ ssItem(X0) )
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f1434,f2362]) ).
fof(f2706,plain,
( ! [X0] :
( ~ frontsegP(app(sK53,cons(sK51,nil)),X0)
| ~ ssList(X0)
| frontsegP(sK49,X0) )
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f1458,f2362]) ).
fof(f2729,plain,
( ! [X0] :
( ~ ssList(X0)
| cons(sK52,X0) = app(cons(sK52,nil),X0) )
| ~ spl56_1 ),
inference(resolution,[],[f468,f392]) ).
fof(f2730,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sK52,X0)) = X0 )
| ~ spl56_1 ),
inference(resolution,[],[f468,f317]) ).
fof(f2737,plain,
( sK49 = cons(sK52,nil)
| ~ spl56_2 ),
inference(forward_subsumption_resolution,[],[f421,f471]) ).
fof(f2757,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssItem(sK52)
| ~ ssList(nil)
| memberP(nil,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_2 ),
inference(superposition,[],[f333,f2737]) ).
fof(f2760,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| frontsegP(nil,X1)
| ~ ssItem(sK52) )
| ~ spl56_2 ),
inference(superposition,[],[f342,f2737]) ).
fof(f2762,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| sK52 = X0
| ~ ssItem(sK52) )
| ~ spl56_2 ),
inference(superposition,[],[f343,f2737]) ).
fof(f2789,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| sK52 = X0
| ~ ssItem(sK52) )
| ~ spl56_2 ),
inference(forward_subsumption_resolution,[],[f2762,f306]) ).
fof(f2791,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| frontsegP(nil,X1)
| ~ ssItem(sK52) )
| ~ spl56_2 ),
inference(forward_subsumption_resolution,[],[f2760,f306]) ).
fof(f2792,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssList(nil)
| memberP(nil,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_1
| ~ spl56_2 ),
inference(forward_subsumption_resolution,[],[f2757,f468]) ).
fof(f2818,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| sK52 = X0 )
| ~ spl56_1
| ~ spl56_2 ),
inference(forward_subsumption_resolution,[],[f2789,f468]) ).
fof(f2820,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| frontsegP(nil,X1) )
| ~ spl56_1
| ~ spl56_2 ),
inference(forward_subsumption_resolution,[],[f2791,f468]) ).
fof(f2821,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| memberP(nil,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_1
| ~ spl56_2 ),
inference(forward_subsumption_resolution,[],[f2792,f306]) ).
fof(f2828,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| sK52 = X0
| ~ ssItem(X0) )
| ~ spl56_1
| ~ spl56_2 ),
inference(forward_subsumption_resolution,[],[f2821,f336]) ).
fof(f2930,plain,
( nil = tl(cons(sK52,nil))
| ~ spl56_1 ),
inference(resolution,[],[f2730,f306]) ).
fof(f2965,plain,
( nil = tl(sK49)
| ~ spl56_1
| ~ spl56_2 ),
inference(forward_demodulation,[],[f2930,f2737]) ).
fof(f3463,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sK49,X0) = cons(sK52,X0) )
| ~ spl56_1
| ~ spl56_2 ),
inference(forward_demodulation,[],[f2729,f2737]) ).
fof(f3501,plain,
( cons(sK52,sK49) = app(sK49,sK49)
| ~ spl56_1
| ~ spl56_2 ),
inference(resolution,[],[f3463,f427]) ).
fof(f3503,plain,
( cons(sK52,sK53) = app(sK49,sK53)
| ~ spl56_1
| ~ spl56_2 ),
inference(resolution,[],[f3463,f418]) ).
fof(f3968,plain,
( memberP(sK49,sK51)
| ~ ssItem(sK51)
| ~ ssItem(sK51)
| ~ ssList(nil)
| ~ ssList(sK53)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl56_20 ),
inference(resolution,[],[f2705,f434]) ).
fof(f3969,plain,
( memberP(sK49,sK51)
| ~ ssItem(sK51)
| ~ ssList(nil)
| ~ ssList(sK53)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl56_20 ),
inference(duplicate_literal_removal,[],[f3968]) ).
fof(f3972,plain,
( memberP(sK49,sK51)
| ~ ssList(nil)
| ~ ssList(sK53)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f3969,f422]) ).
fof(f3975,plain,
( memberP(sK49,sK51)
| ~ ssList(sK53)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f3972,f306]) ).
fof(f3978,plain,
( memberP(sK49,sK51)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f3975,f418]) ).
fof(f3979,plain,
( memberP(sK49,sK51)
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f3978,f2362]) ).
fof(f3980,plain,
( sK51 = sK52
| ~ ssItem(sK51)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_20 ),
inference(resolution,[],[f3979,f2828]) ).
fof(f3983,plain,
( sK51 = sK52
| ~ spl56_1
| ~ spl56_2
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f3980,f422]) ).
fof(f3985,plain,
( ~ ssList(sK53)
| frontsegP(sK49,sK53)
| ~ ssList(cons(sK51,nil))
| ~ ssList(sK53)
| ~ spl56_20 ),
inference(resolution,[],[f2706,f1306]) ).
fof(f3993,plain,
( ~ ssList(sK53)
| frontsegP(sK49,sK53)
| ~ ssList(cons(sK51,nil))
| ~ spl56_20 ),
inference(duplicate_literal_removal,[],[f3985]) ).
fof(f3997,plain,
( frontsegP(sK49,sK53)
| ~ ssList(cons(sK51,nil))
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f3993,f418]) ).
fof(f4000,plain,
( frontsegP(sK49,sK53)
| ~ spl56_20
| ~ spl56_22 ),
inference(forward_subsumption_resolution,[],[f3997,f2641]) ).
fof(f4031,plain,
( sK49 = cons(sK51,nil)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_20 ),
inference(superposition,[],[f2737,f3983]) ).
fof(f4049,plain,
( ! [X0,X1] :
( ~ frontsegP(sK49,cons(X0,X1))
| sK51 = X0
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl56_1
| ~ spl56_2
| ~ spl56_20 ),
inference(forward_demodulation,[],[f2818,f3983]) ).
fof(f4139,plain,
( frontsegP(sK49,app(sK53,sK49))
| ~ spl56_1
| ~ spl56_2
| ~ spl56_20 ),
inference(superposition,[],[f2702,f4031]) ).
fof(f4578,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(app(sK49,X0)) = app(tl(sK49),X0) )
| spl56_7 ),
inference(forward_subsumption_resolution,[],[f2015,f495]) ).
fof(f4579,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = tl(app(sK49,X0)) )
| ~ spl56_1
| ~ spl56_2
| spl56_7 ),
inference(forward_demodulation,[],[f4578,f2965]) ).
fof(f4623,plain,
( app(nil,sK54) = tl(app(sK49,sK54))
| ~ spl56_1
| ~ spl56_2
| spl56_7 ),
inference(resolution,[],[f4579,f416]) ).
fof(f4927,plain,
( cons(sK51,sK53) = app(sK49,sK53)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_20 ),
inference(forward_demodulation,[],[f3503,f3983]) ).
fof(f5402,definition,
( spl56_24
<=> ssList(tl(sK53)) ),
introduced(definition,[new_symbols(definition,[spl56_24])],[avatar_definition]) ).
fof(f5403,plain,
( ssList(tl(sK53))
| ~ spl56_24 ),
inference(avatar_component_clause,[],[f5402]) ).
fof(f5404,plain,
( ~ ssList(tl(sK53))
| spl56_24 ),
inference(avatar_component_clause,[],[f5402]) ).
fof(f5411,plain,
( nil = sK53
| ~ ssList(sK53)
| spl56_24 ),
inference(resolution,[],[f5404,f316]) ).
fof(f5412,plain,
( ~ ssList(sK53)
| spl56_15
| spl56_24 ),
inference(forward_subsumption_resolution,[],[f5411,f1475]) ).
fof(f5413,plain,
( $false
| spl56_15
| spl56_24 ),
inference(forward_subsumption_resolution,[],[f5412,f418]) ).
fof(f5414,plain,
( spl56_15
| spl56_24 ),
inference(avatar_contradiction_clause,[],[f5413]) ).
fof(f5430,plain,
( sK54 = tl(app(sK49,sK54))
| ~ spl56_1
| ~ spl56_2
| spl56_7 ),
inference(forward_demodulation,[],[f4623,f526]) ).
fof(f5432,plain,
( ~ ssItem(sK55)
| ~ spl56_5
| ~ spl56_15 ),
inference(resolution,[],[f1706,f336]) ).
fof(f5435,plain,
( $false
| ~ spl56_5
| ~ spl56_15 ),
inference(forward_subsumption_resolution,[],[f5432,f415]) ).
fof(f5436,plain,
( ~ spl56_5
| ~ spl56_15 ),
inference(avatar_contradiction_clause,[],[f5435]) ).
fof(f5614,plain,
( sK53 = cons(hd(sK53),tl(sK53))
| spl56_15 ),
inference(forward_subsumption_resolution,[],[f1081,f1475]) ).
fof(f5652,plain,
( ~ frontsegP(sK49,sK53)
| sK51 = hd(sK53)
| ~ ssItem(hd(sK53))
| ~ ssList(tl(sK53))
| ~ spl56_1
| ~ spl56_2
| spl56_15
| ~ spl56_20 ),
inference(superposition,[],[f4049,f5614]) ).
fof(f5657,plain,
( sK51 = hd(sK53)
| ~ ssItem(hd(sK53))
| ~ ssList(tl(sK53))
| ~ spl56_1
| ~ spl56_2
| spl56_15
| ~ spl56_20
| ~ spl56_22 ),
inference(forward_subsumption_resolution,[],[f5652,f4000]) ).
fof(f5693,plain,
( sK51 = hd(sK53)
| ~ ssItem(hd(sK53))
| ~ spl56_1
| ~ spl56_2
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24 ),
inference(forward_subsumption_resolution,[],[f5657,f5403]) ).
fof(f6372,plain,
( ssList(cons(sK51,sK53))
| ~ ssList(sK53)
| ~ ssList(sK49)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_20 ),
inference(superposition,[],[f318,f4927]) ).
fof(f6386,plain,
( frontsegP(cons(sK51,sK53),sK49)
| ~ ssList(sK53)
| ~ ssList(sK49)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_20 ),
inference(superposition,[],[f1306,f4927]) ).
fof(f6389,plain,
( frontsegP(cons(sK51,sK53),sK49)
| ~ ssList(sK49)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f6386,f418]) ).
fof(f6403,plain,
( ssList(cons(sK51,sK53))
| ~ ssList(sK49)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f6372,f418]) ).
fof(f6408,plain,
( frontsegP(cons(sK51,sK53),sK49)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f6389,f427]) ).
fof(f6422,plain,
( ssList(cons(sK51,sK53))
| ~ spl56_1
| ~ spl56_2
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f6403,f427]) ).
fof(f7592,definition,
( spl56_26
<=> ssItem(hd(sK53)) ),
introduced(definition,[new_symbols(definition,[spl56_26])],[avatar_definition]) ).
fof(f7593,plain,
( ssItem(hd(sK53))
| ~ spl56_26 ),
inference(avatar_component_clause,[],[f7592]) ).
fof(f7594,plain,
( ~ ssItem(hd(sK53))
| spl56_26 ),
inference(avatar_component_clause,[],[f7592]) ).
fof(f7626,plain,
( nil = sK53
| ~ ssList(sK53)
| spl56_26 ),
inference(resolution,[],[f7594,f314]) ).
fof(f7627,plain,
( ~ ssList(sK53)
| spl56_15
| spl56_26 ),
inference(forward_subsumption_resolution,[],[f7626,f1475]) ).
fof(f7628,plain,
( $false
| spl56_15
| spl56_26 ),
inference(forward_subsumption_resolution,[],[f7627,f418]) ).
fof(f7629,plain,
( spl56_15
| spl56_26 ),
inference(avatar_contradiction_clause,[],[f7628]) ).
fof(f7690,plain,
( sK51 = hd(sK53)
| ~ spl56_1
| ~ spl56_2
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f5693,f7593]) ).
fof(f7695,plain,
( sK53 = cons(sK51,tl(sK53))
| ~ spl56_1
| ~ spl56_2
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(superposition,[],[f5614,f7690]) ).
fof(f7744,plain,
( ~ frontsegP(sK49,sK53)
| ~ ssItem(sK51)
| ~ ssList(tl(sK53))
| frontsegP(nil,tl(sK53))
| ~ spl56_1
| ~ spl56_2
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(superposition,[],[f2820,f7695]) ).
fof(f7753,plain,
( ~ ssItem(sK51)
| ~ ssList(tl(sK53))
| frontsegP(nil,tl(sK53))
| ~ spl56_1
| ~ spl56_2
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f7744,f4000]) ).
fof(f7791,plain,
( ~ ssList(tl(sK53))
| frontsegP(nil,tl(sK53))
| ~ spl56_1
| ~ spl56_2
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f7753,f422]) ).
fof(f7826,plain,
( frontsegP(nil,tl(sK53))
| ~ spl56_1
| ~ spl56_2
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f7791,f5403]) ).
fof(f7829,plain,
( nil = tl(sK53)
| ~ ssList(tl(sK53))
| ~ spl56_1
| ~ spl56_2
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(resolution,[],[f7826,f347]) ).
fof(f7832,plain,
( nil = tl(sK53)
| ~ spl56_1
| ~ spl56_2
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f7829,f5403]) ).
fof(f7875,plain,
( sK53 = cons(sK51,nil)
| ~ spl56_1
| ~ spl56_2
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(superposition,[],[f7695,f7832]) ).
fof(f7884,plain,
( sK49 = sK53
| ~ spl56_1
| ~ spl56_2
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_demodulation,[],[f7875,f4031]) ).
fof(f7972,plain,
( memberP(sK49,sK55)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_5
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(superposition,[],[f486,f7884]) ).
fof(f7998,plain,
( frontsegP(sK49,app(sK49,sK49))
| ~ spl56_1
| ~ spl56_2
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(superposition,[],[f4139,f7884]) ).
fof(f8028,plain,
( frontsegP(sK49,cons(sK52,sK49))
| ~ spl56_1
| ~ spl56_2
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_demodulation,[],[f7998,f3501]) ).
fof(f8038,plain,
( frontsegP(sK49,cons(sK51,sK49))
| ~ spl56_1
| ~ spl56_2
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_demodulation,[],[f8028,f3983]) ).
fof(f8147,plain,
( sK52 = sK55
| ~ ssItem(sK55)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_5
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(resolution,[],[f7972,f2828]) ).
fof(f8150,plain,
( sK52 = sK55
| ~ spl56_1
| ~ spl56_2
| ~ spl56_5
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f8147,f415]) ).
fof(f8200,plain,
( sK51 = sK55
| ~ spl56_1
| ~ spl56_2
| ~ spl56_5
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(superposition,[],[f8150,f3983]) ).
fof(f8227,plain,
( spl56_11
| ~ spl56_1
| ~ spl56_2
| ~ spl56_5
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(avatar_split_clause,[],[f8200,f7592,f5402,f2640,f2361,f1474,f484,f470,f466,f1297]) ).
fof(f8282,plain,
( frontsegP(cons(sK55,sK53),sK49)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_11
| ~ spl56_20 ),
inference(superposition,[],[f6408,f1299]) ).
fof(f8283,plain,
( ssList(cons(sK55,sK53))
| ~ spl56_1
| ~ spl56_2
| ~ spl56_11
| ~ spl56_20 ),
inference(superposition,[],[f6422,f1299]) ).
fof(f8300,plain,
( ssList(cons(sK55,sK49))
| ~ spl56_1
| ~ spl56_2
| ~ spl56_11
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_demodulation,[],[f8283,f7884]) ).
fof(f8301,plain,
( frontsegP(cons(sK55,sK49),sK49)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_11
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_demodulation,[],[f8282,f7884]) ).
fof(f9813,plain,
( ~ frontsegP(sK49,cons(sK55,sK49))
| ~ ssList(cons(sK55,sK49))
| ~ ssList(sK49)
| sK49 = cons(sK55,sK49)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_11
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(resolution,[],[f8301,f339]) ).
fof(f9814,plain,
( ~ frontsegP(sK49,cons(sK55,sK49))
| ~ ssList(sK49)
| sK49 = cons(sK55,sK49)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_11
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f9813,f8300]) ).
fof(f9817,plain,
( ~ frontsegP(sK49,cons(sK55,sK49))
| sK49 = cons(sK55,sK49)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_11
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f9814,f427]) ).
fof(f9820,plain,
( ~ frontsegP(sK49,cons(sK55,sK49))
| ~ spl56_1
| ~ spl56_2
| ~ spl56_11
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f9817,f861]) ).
fof(f10329,plain,
( frontsegP(sK49,cons(sK55,sK49))
| ~ spl56_1
| ~ spl56_2
| ~ spl56_11
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_demodulation,[],[f8038,f1299]) ).
fof(f10330,plain,
( $false
| ~ spl56_1
| ~ spl56_2
| ~ spl56_11
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f10329,f9820]) ).
fof(f10331,plain,
( ~ spl56_1
| ~ spl56_2
| ~ spl56_11
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(avatar_contradiction_clause,[],[f10330]) ).
fof(f10332,plain,
( ~ memberP(sK49,sK55)
| ~ spl56_1
| ~ spl56_2
| spl56_5
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_demodulation,[],[f485,f7884]) ).
fof(f10336,plain,
( ~ memberP(sK54,sK55)
| ~ ssItem(sK55)
| ~ spl56_1
| ~ spl56_2
| spl56_5
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(resolution,[],[f10332,f2704]) ).
fof(f10337,plain,
( ~ ssItem(sK55)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_4
| spl56_5
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f10336,f481]) ).
fof(f10338,plain,
( $false
| ~ spl56_1
| ~ spl56_2
| ~ spl56_4
| spl56_5
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(forward_subsumption_resolution,[],[f10337,f415]) ).
fof(f10339,plain,
( ~ spl56_1
| ~ spl56_2
| ~ spl56_4
| spl56_5
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(avatar_contradiction_clause,[],[f10338]) ).
fof(f10350,plain,
( sK49 = app(app(nil,cons(sK51,nil)),sK54)
| ~ spl56_15 ),
inference(superposition,[],[f432,f1476]) ).
fof(f10406,plain,
( sK49 = app(app(nil,sK49),sK54)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_15
| ~ spl56_20 ),
inference(forward_demodulation,[],[f10350,f4031]) ).
fof(f10411,plain,
( sK49 = app(sK49,sK54)
| ~ spl56_1
| ~ spl56_2
| ~ spl56_15
| ~ spl56_20 ),
inference(forward_demodulation,[],[f10406,f523]) ).
fof(f11182,plain,
( sK54 = tl(sK49)
| ~ spl56_1
| ~ spl56_2
| spl56_7
| ~ spl56_15
| ~ spl56_20 ),
inference(superposition,[],[f5430,f10411]) ).
fof(f11210,plain,
( nil = sK54
| ~ spl56_1
| ~ spl56_2
| spl56_7
| ~ spl56_15
| ~ spl56_20 ),
inference(forward_demodulation,[],[f11182,f2965]) ).
fof(f11216,plain,
( $false
| ~ spl56_1
| ~ spl56_2
| spl56_7
| ~ spl56_15
| spl56_17
| ~ spl56_20 ),
inference(forward_subsumption_resolution,[],[f11210,f1593]) ).
fof(f11217,plain,
( ~ spl56_1
| ~ spl56_2
| spl56_7
| ~ spl56_15
| spl56_17
| ~ spl56_20 ),
inference(avatar_contradiction_clause,[],[f11216]) ).
cnf(s1,plain,
( spl56_1
| ~ spl56_2 ),
inference(sat_conversion,[],[f473]) ).
cnf(s3,plain,
( spl56_4
| spl56_5 ),
inference(sat_conversion,[],[f487]) ).
cnf(s5,plain,
( spl56_7
| ~ spl56_8 ),
inference(sat_conversion,[],[f501]) ).
cnf(s7,plain,
( spl56_2
| spl56_8 ),
inference(sat_conversion,[],[f685]) ).
cnf(s15,plain,
( ~ spl56_4
| ~ spl56_17 ),
inference(sat_conversion,[],[f1704]) ).
cnf(s18,plain,
spl56_20,
inference(sat_conversion,[],[f2383]) ).
cnf(s20,plain,
( ~ spl56_7
| ~ spl56_22
| spl56_23 ),
inference(sat_conversion,[],[f2647]) ).
cnf(s21,plain,
spl56_22,
inference(sat_conversion,[],[f2653]) ).
cnf(s22,plain,
( ~ spl56_22
| ~ spl56_23 ),
inference(sat_conversion,[],[f2700]) ).
cnf(s24,plain,
( spl56_15
| spl56_24 ),
inference(sat_conversion,[],[f5414]) ).
cnf(s25,plain,
( ~ spl56_5
| ~ spl56_15 ),
inference(sat_conversion,[],[f5436]) ).
cnf(s27,plain,
( spl56_15
| spl56_26 ),
inference(sat_conversion,[],[f7629]) ).
cnf(s29,plain,
( ~ spl56_1
| ~ spl56_2
| ~ spl56_5
| spl56_11
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(sat_conversion,[],[f8227]) ).
cnf(s32,plain,
( ~ spl56_1
| ~ spl56_2
| ~ spl56_11
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(sat_conversion,[],[f10331]) ).
cnf(s33,plain,
( ~ spl56_1
| ~ spl56_2
| ~ spl56_4
| spl56_5
| spl56_15
| ~ spl56_20
| ~ spl56_22
| ~ spl56_24
| ~ spl56_26 ),
inference(sat_conversion,[],[f10339]) ).
cnf(s36,plain,
( ~ spl56_1
| ~ spl56_2
| spl56_7
| ~ spl56_15
| spl56_17
| ~ spl56_20 ),
inference(sat_conversion,[],[f11217]) ).
cnf(s37,plain,
~ spl56_23,
inference(rat,[],[s22,s21]) ).
cnf(s38,plain,
~ spl56_7,
inference(rat,[],[s20,s37,s21]) ).
cnf(s39,plain,
~ spl56_8,
inference(rat,[],[s5,s38]) ).
cnf(s40,plain,
spl56_2,
inference(rat,[],[s7,s39]) ).
cnf(s41,plain,
spl56_1,
inference(rat,[],[s1,s40]) ).
cnf(s42,plain,
~ spl56_5,
inference(rat,[],[s29,s32,s24,s27,s25,s40,s41,s18,s21]) ).
cnf(s44,plain,
spl56_4,
inference(rat,[],[s3,s42]) ).
cnf(s45,plain,
~ spl56_17,
inference(rat,[],[s15,s44]) ).
cnf(s48,plain,
~ spl56_15,
inference(rat,[],[s36,s18,s41,s40,s38,s45]) ).
cnf(s49,plain,
spl56_26,
inference(rat,[],[s27,s48]) ).
cnf(s50,plain,
spl56_24,
inference(rat,[],[s24,s48]) ).
cnf(s54,plain,
$false,
inference(rat,[],[s33,s49,s44,s21,s18,s42,s41,s40,s50,s48]) ).
fof(f11218,plain,
$false,
inference(avatar_sat_refutation,[],[s54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC297+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.18 % Computer : n017.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Mon Sep 28 08:52:23 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.21 Running first-order model finding
% 0.11/0.21 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
% 6.32/1.61 % (3409797)Will run a generic schedule for satisfiability detection.
% 6.32/1.61 % (3409802)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1681756835_2999 on theBenchmark for (2999ds/0Mi)
% 6.32/1.61 % (3409804)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2767050892:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.32/1.61 % (3409805)dis+10_1_sil=32000:sp=arity:random_seed=2639578998:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.32/1.61 % (3409806)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1692665839:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.32/1.61 % TRYING [1]
% 6.32/1.61 % (3409807)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3757769709:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.32/1.61 % (3409808)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4246309674:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.32/1.61 % TRYING [2]
% 6.32/1.61 % (3409803)% WARNING: option uhcvi not known.
% 6.32/1.61 % TRYING [3]
% 6.32/1.61 % (3409803)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=211042860:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.32/1.61 % TRYING [4]
% 6.32/1.61 % TRYING [5]
% 6.32/1.61 % (3409805)Instruction limit reached!
% 6.32/1.61 % (3409805)------------------------------
% 6.32/1.61 % (3409805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.61 % (3409805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.61 % (3409805)CaDiCaL version: 2.1.3
% 6.32/1.61 % (3409805)Termination reason: Instruction limit
% 6.32/1.61 % (3409805)Termination phase: Saturation
% 6.32/1.61 % (3409805)Time elapsed: 0.060 s
% 6.32/1.61 % (3409805)Peak memory usage: 13 MB
% 6.32/1.61 % (3409805)Instructions burned: 103 (million)
% 6.32/1.61 % (3409806)Instruction limit reached!
% 6.32/1.61 % (3409806)------------------------------
% 6.32/1.61 % (3409806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.61 % (3409806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.61 % (3409806)CaDiCaL version: 2.1.3
% 6.32/1.61 % (3409806)Termination reason: Instruction limit
% 6.32/1.61 % (3409806)Termination phase: Saturation
% 6.32/1.61 % (3409806)Time elapsed: 0.070 s
% 6.32/1.61 % (3409806)Peak memory usage: 13 MB
% 6.32/1.61 % (3409806)Instructions burned: 117 (million)
% 6.32/1.61 % (3409807)Instruction limit reached!
% 6.32/1.61 % (3409807)------------------------------
% 6.32/1.61 % (3409807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.61 % (3409807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.61 % (3409807)CaDiCaL version: 2.1.3
% 6.32/1.61 % (3409807)Termination reason: Instruction limit
% 6.32/1.61 % (3409807)Termination phase: Saturation
% 6.32/1.61 % (3409807)Time elapsed: 0.076 s
% 6.32/1.61 % (3409807)Peak memory usage: 14 MB
% 6.32/1.61 % (3409807)Instructions burned: 131 (million)
% 6.32/1.61 % (3409816)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2468084532:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.32/1.61 % (3409817)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2367458097:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.32/1.61 % TRYING [1]
% 6.32/1.61 % (3409808)Instruction limit reached!
% 6.32/1.61 % (3409808)------------------------------
% 6.32/1.61 % (3409808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.61 % (3409808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.61 % (3409808)CaDiCaL version: 2.1.3
% 6.32/1.61 % (3409808)Termination reason: Instruction limit
% 6.32/1.61 % (3409808)Termination phase: Saturation
% 6.32/1.61 % (3409808)Time elapsed: 0.095 s
% 6.32/1.61 % (3409808)Peak memory usage: 14 MB
% 6.32/1.61 % (3409808)Instructions burned: 159 (million)
% 6.32/1.61 % TRYING [2]
% 6.32/1.61 % (3409818)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=3432140630:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.32/1.61 % TRYING [3]
% 6.32/1.61 % TRYING [6]
% 6.32/1.61 % (3409822)ott-21_1_sil=16000:fs=off:random_seed=4172295035:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.32/1.61 % TRYING [4]
% 6.32/1.61 % (3409817)Instruction limit reached!
% 6.32/1.61 % (3409817)------------------------------
% 6.32/1.61 % (3409817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.61 % (3409817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.61 % (3409817)CaDiCaL version: 2.1.3
% 6.32/1.61 % (3409817)Termination reason: Instruction limit
% 6.32/1.61 % (3409817)Termination phase: Saturation
% 6.32/1.61 % (3409817)Time elapsed: 0.075 s
% 6.32/1.61 % (3409817)Peak memory usage: 13 MB
% 6.32/1.61 % (3409817)Instructions burned: 132 (million)
% 6.32/1.61 % TRYING [5]
% 6.32/1.61 % (3409824)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=668174559:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.32/1.61 % (3409822)Instruction limit reached!
% 6.32/1.61 % (3409822)------------------------------
% 6.32/1.61 % (3409822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.61 % (3409822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.61 % (3409822)CaDiCaL version: 2.1.3
% 6.32/1.61 % (3409822)Termination reason: Instruction limit
% 6.32/1.61 % (3409822)Termination phase: Saturation
% 6.32/1.61 % (3409822)Time elapsed: 0.089 s
% 6.32/1.61 % (3409822)Peak memory usage: 13 MB
% 6.32/1.61 % (3409822)Instructions burned: 181 (million)
% 6.32/1.61 % (3409826)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3785674371:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.32/1.61 % TRYING [1]
% 6.32/1.61 % TRYING [2]
% 6.32/1.61 % TRYING [3]
% 6.32/1.61 % TRYING [7]
% 6.32/1.61 % TRYING [4]
% 6.32/1.61 % TRYING [6]
% 6.32/1.61 % (3409816)Instruction limit reached!
% 6.32/1.61 % (3409816)------------------------------
% 6.32/1.61 % (3409816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.61 % (3409816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.61 % (3409816)CaDiCaL version: 2.1.3
% 6.32/1.61 % (3409816)Termination reason: Instruction limit
% 6.32/1.61 % (3409816)Termination phase: Finite model building constraint generation
% 6.32/1.61 % (3409816)Time elapsed: 0.298 s
% 6.32/1.61 % (3409816)Peak memory usage: 28 MB
% 6.32/1.61 % (3409816)Instructions burned: 714 (million)
% 6.32/1.61 % TRYING [5]
% 6.32/1.61 % (3409828)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1647646548:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 6.32/1.61 % (3409818)Instruction limit reached!
% 6.32/1.61 % (3409818)------------------------------
% 6.32/1.61 % (3409818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.61 % (3409818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.61 % (3409818)CaDiCaL version: 2.1.3
% 6.32/1.61 % (3409818)Termination reason: Instruction limit
% 6.32/1.61 % (3409818)Termination phase: Saturation
% 6.32/1.61 % (3409818)Time elapsed: 0.379 s
% 6.32/1.61 % (3409818)Peak memory usage: 22 MB
% 6.32/1.61 % (3409818)Instructions burned: 685 (million)
% 6.32/1.61 % (3409830)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2344406997:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 6.32/1.61 % (3409824)Instruction limit reached!
% 6.32/1.61 % (3409824)------------------------------
% 6.32/1.61 % (3409824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.61 % (3409824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.61 % (3409824)CaDiCaL version: 2.1.3
% 6.32/1.61 % (3409824)Termination reason: Instruction limit
% 6.32/1.61 % (3409824)Termination phase: Saturation
% 6.32/1.61 % (3409824)Time elapsed: 0.334 s
% 6.32/1.61 % (3409824)Peak memory usage: 15 MB
% 6.32/1.61 % (3409824)Instructions burned: 478 (million)
% 6.32/1.61 % (3409832)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=1796898787: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)
% 6.32/1.61 % (3409826)Instruction limit reached!
% 6.32/1.61 % (3409826)------------------------------
% 6.32/1.61 % (3409826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.61 % (3409826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.61 % (3409826)CaDiCaL version: 2.1.3
% 6.32/1.61 % (3409826)Termination reason: Instruction limit
% 6.32/1.61 % (3409826)Termination phase: Finite model building SAT solving
% 6.32/1.61 % (3409826)Time elapsed: 0.351 s
% 6.32/1.61 % (3409826)Peak memory usage: 23 MB
% 6.32/1.61 % (3409826)Instructions burned: 866 (million)
% 6.32/1.61 % (3409834)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=801131565:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 6.32/1.61 % TRYING [14]
% 6.32/1.61 % TRYING [8]
% 6.32/1.61 % (3409830)Instruction limit reached!
% 6.32/1.61 % (3409830)------------------------------
% 6.32/1.61 % (3409830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.61 % (3409830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.61 % (3409830)CaDiCaL version: 2.1.3
% 6.32/1.61 % (3409830)Termination reason: Instruction limit
% 6.32/1.61 % (3409830)Termination phase: Finite model building constraint generation
% 6.32/1.61 % (3409830)Time elapsed: 0.323 s
% 6.32/1.61 % (3409830)Peak memory usage: 70 MB
% 6.32/1.61 % (3409830)Instructions burned: 890 (million)
% 6.32/1.61 % (3409836)fmb+10_1_sil=64000:random_seed=1349190107:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 6.32/1.61 % TRYING [1]
% 6.32/1.61 % TRYING [2]
% 6.32/1.61 % TRYING [3]
% 6.32/1.61 % (3409832)Instruction limit reached!
% 6.32/1.61 % (3409832)------------------------------
% 6.32/1.61 % (3409832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.61 % (3409832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.61 % (3409832)CaDiCaL version: 2.1.3
% 6.32/1.61 % (3409832)Termination reason: Instruction limit
% 6.32/1.61 % (3409832)Termination phase: Saturation
% 6.32/1.61 % (3409832)Time elapsed: 0.370 s
% 6.32/1.61 % (3409832)Peak memory usage: 21 MB
% 6.32/1.61 % (3409832)Instructions burned: 692 (million)
% 6.32/1.61 % TRYING [4]
% 6.32/1.61 % (3409838)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=18277559:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 6.32/1.61 % TRYING [20]
% 6.32/1.61 % TRYING [5]
% 6.32/1.61 % (3409828)Instruction limit reached!
% 6.32/1.61 % (3409828)------------------------------
% 6.32/1.61 % (3409828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.61 % (3409828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.61 % (3409828)CaDiCaL version: 2.1.3
% 6.32/1.61 % (3409828)Termination reason: Instruction limit
% 6.32/1.61 % (3409828)Termination phase: Saturation
% 6.32/1.61 % (3409828)Time elapsed: 0.644 s
% 6.32/1.61 % (3409828)Peak memory usage: 26 MB
% 6.32/1.61 % (3409828)Instructions burned: 1179 (million)
% 6.32/1.61 % (3409834)Instruction limit reached!
% 6.32/1.61 % (3409834)------------------------------
% 6.32/1.61 % (3409834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.61 % (3409834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.61 % (3409834)CaDiCaL version: 2.1.3
% 6.32/1.61 % (3409834)Termination reason: Instruction limit
% 6.32/1.61 % (3409834)Termination phase: Saturation
% 6.32/1.61 % (3409834)Time elapsed: 0.466 s
% 6.32/1.61 % (3409834)Peak memory usage: 20 MB
% 6.32/1.61 % (3409834)Instructions burned: 880 (million)
% 6.32/1.61 % (3409840)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2918980926:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 6.32/1.61 % TRYING [8]
% 6.32/1.61 % (3409841)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1565305374:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 6.32/1.61 % (3409841) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3409797-3409841"...
% 6.32/1.61 % (3409841)...printing done.
% 6.32/1.61 % (3409841)Refutation found. Thanks to Tanya!
% 6.32/1.61 % SZS status Theorem for theBenchmark
% 6.32/1.61 % SZS output start Proof for theBenchmark
% See solution above
% 6.32/1.62 % (3409841)------------------------------
% 6.32/1.62 % (3409841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.62 % (3409841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.62 % (3409841)CaDiCaL version: 2.1.3
% 6.32/1.62 % (3409841)Termination reason: Refutation
% 6.32/1.62 % (3409841)Time elapsed: 0.243 s
% 6.32/1.62 % (3409841)Peak memory usage: 17 MB
% 6.32/1.62 % (3409841)Instructions burned: 453 (million)
% 6.32/1.62 % (3409797)Success in time 1.389 s
% 6.32/1.62 % Vampire exiting
%------------------------------------------------------------------------------