%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC174+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 : n011.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 01:04:58 PM UTC 2026
% Result : Theorem 18.04s 3.26s
% Output : Refutation 18.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 40
% Syntax : Number of formulae : 335 ( 34 unt; 13 def)
% Number of atoms : 1308 ( 203 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1764 ( 791 ~; 828 |; 48 &)
% ( 31 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 14 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 289 ( 0 sgn 253 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax4) ).
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(f6,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( rearsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X2,X1) = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax6) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax20) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax21) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).
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(f44,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( X0 = X1
& frontsegP(X2,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax44) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax45) ).
fof(f48,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( rearsegP(X0,X1)
& rearsegP(X1,X0) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax48) ).
fof(f51,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax51) ).
fof(f54,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( segmentP(X0,X1)
& segmentP(X1,X0) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax54) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax57) ).
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(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X2 = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax79) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ singletonP(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) ) ) ) ) ) ) ) ),
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
| ~ singletonP(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) ) ) ) ) ) ) ) ),
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(f100,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ( rearsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X2,X1) = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f6]) ).
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(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(f125,plain,
! [X0] :
( ! [X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
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(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(f156,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( X0 = X1
& frontsegP(X2,X3) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f157,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ rearsegP(X0,X1)
| ~ rearsegP(X1,X0)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f162,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ rearsegP(X0,X1)
| ~ rearsegP(X1,X0)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f161]) ).
fof(f166,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f51]) ).
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(f175,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
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(f194,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X0
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X0
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f194]) ).
fof(f201,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& singletonP(X2)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& ssList(X7) )
& ssList(X6) )
& ~ neq(X4,X5)
& ssItem(X5) )
& ssItem(X4) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& singletonP(X2)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& ssList(X7) )
& ssList(X6) )
& ~ neq(X4,X5)
& ssItem(X5) )
& ssItem(X4) )
& 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(f232,plain,
! [X0] :
( ~ singletonP(X0)
| cons(sK4(X0),nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f233,plain,
! [X0] :
( ssItem(sK4(X0))
| ~ ssList(X0)
| ~ singletonP(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f235,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| app(X1,sK5(X0,X1)) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f236,plain,
! [X0,X1] :
( ssList(sK5(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X2,X1) != X0
| ~ ssList(X2)
| rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
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(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(f313,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f314,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f127]) ).
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(f335,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1
| memberP(cons(X1,X2),X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f336,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f344,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X2,X3)
| X0 != X1
| frontsegP(cons(X0,X2),cons(X1,X3)) ),
inference(cnf_transformation,[],[f156]) ).
fof(f345,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f349,plain,
! [X0,X1] :
( ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f162]) ).
fof(f352,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f356,plain,
! [X0,X1] :
( ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f171]) ).
fof(f359,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f389,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f390,plain,
! [X2,X0,X1] :
( app(X2,X1) != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X0 = X2 ),
inference(cnf_transformation,[],[f195]) ).
fof(f397,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f411,plain,
ssList(sK54),
inference(cnf_transformation,[],[f222]) ).
fof(f412,plain,
sK47 = app(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)),sK54),
inference(cnf_transformation,[],[f222]) ).
fof(f413,plain,
ssList(sK53),
inference(cnf_transformation,[],[f222]) ).
fof(f414,plain,
ssItem(sK52),
inference(cnf_transformation,[],[f222]) ).
fof(f415,plain,
~ neq(sK51,sK52),
inference(cnf_transformation,[],[f222]) ).
fof(f416,plain,
ssItem(sK51),
inference(cnf_transformation,[],[f222]) ).
fof(f418,plain,
singletonP(sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f419,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f421,plain,
ssList(sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f426,plain,
sK49 = app(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)),sK54),
inference(definition_unfolding,[],[f412,f419]) ).
fof(f428,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(f431,plain,
! [X2,X1] :
( ~ ssList(app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X2)
| rearsegP(app(X2,X1),X1) ),
inference(equality_resolution,[],[f240]) ).
fof(f432,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(f442,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f335]) ).
fof(f443,plain,
! [X2,X3,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X2,X3)
| frontsegP(cons(X1,X2),cons(X1,X3)) ),
inference(equality_resolution,[],[f344]) ).
fof(f454,plain,
! [X2,X3,X1] :
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X2,X3)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f443]) ).
fof(f455,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f442]) ).
fof(f480,plain,
sK49 = app(nil,sK49),
inference(resolution,[],[f320,f421]) ).
fof(f483,plain,
sK54 = app(nil,sK54),
inference(resolution,[],[f320,f411]) ).
fof(f505,plain,
sK49 = app(sK49,nil),
inference(resolution,[],[f397,f421]) ).
fof(f619,plain,
( ~ ssItem(sK52)
| sK51 = sK52
| ~ ssItem(sK51) ),
inference(resolution,[],[f223,f415]) ).
fof(f624,plain,
( sK51 = sK52
| ~ ssItem(sK51) ),
inference(forward_subsumption_resolution,[],[f619,f414]) ).
fof(f625,plain,
sK51 = sK52,
inference(forward_subsumption_resolution,[],[f624,f416]) ).
fof(f629,plain,
( sK49 = cons(sK4(sK49),nil)
| ~ ssList(sK49) ),
inference(resolution,[],[f232,f418]) ).
fof(f630,plain,
sK49 = cons(sK4(sK49),nil),
inference(forward_subsumption_resolution,[],[f629,f421]) ).
fof(f744,plain,
( nil != sK49
| ~ ssItem(sK4(sK49))
| ~ ssList(nil) ),
inference(superposition,[],[f313,f630]) ).
fof(f746,plain,
( nil != sK49
| ~ ssItem(sK4(sK49)) ),
inference(forward_subsumption_resolution,[],[f744,f306]) ).
fof(f753,definition,
( spl55_1
<=> ssItem(sK4(sK49)) ),
introduced(definition,[new_symbols(definition,[spl55_1])],[avatar_definition]) ).
fof(f754,plain,
( ssItem(sK4(sK49))
| ~ spl55_1 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f755,plain,
( ~ ssItem(sK4(sK49))
| spl55_1 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f763,plain,
( ~ ssList(sK49)
| ~ singletonP(sK49)
| spl55_1 ),
inference(resolution,[],[f755,f233]) ).
fof(f764,plain,
( ~ singletonP(sK49)
| spl55_1 ),
inference(forward_subsumption_resolution,[],[f763,f421]) ).
fof(f765,plain,
( $false
| spl55_1 ),
inference(forward_subsumption_resolution,[],[f764,f418]) ).
fof(f766,plain,
spl55_1,
inference(avatar_contradiction_clause,[],[f765]) ).
fof(f769,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sK4(sK49),X0)) = X0 )
| ~ spl55_1 ),
inference(resolution,[],[f754,f317]) ).
fof(f932,plain,
( sK54 = cons(sK44(sK54),sK43(sK54))
| nil = sK54 ),
inference(resolution,[],[f310,f411]) ).
fof(f966,plain,
( nil = sK49
| sK49 = cons(hd(sK49),tl(sK49)) ),
inference(resolution,[],[f389,f421]) ).
fof(f971,plain,
( nil != sK49
| ~ spl55_1 ),
inference(forward_subsumption_resolution,[],[f746,f754]) ).
fof(f1198,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f431,f318]) ).
fof(f1201,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,app(X0,X1))
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| app(X0,X1) = X1 ),
inference(resolution,[],[f1198,f349]) ).
fof(f1213,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,app(X0,X1))
| ~ ssList(app(X0,X1))
| app(X0,X1) = X1 ),
inference(duplicate_literal_removal,[],[f1201]) ).
fof(f1216,plain,
! [X0,X1] :
( ~ rearsegP(X1,app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) = X1 ),
inference(forward_subsumption_resolution,[],[f1213,f318]) ).
fof(f1237,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)))
| ~ ssList(sK54)
| ~ memberP(sK54,X0)
| ~ ssItem(X0) ),
inference(superposition,[],[f331,f426]) ).
fof(f1248,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)))
| ~ memberP(sK54,X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f1237,f411]) ).
fof(f1249,plain,
! [X0] :
( ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| memberP(sK49,X0)
| ~ memberP(sK54,X0)
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f1248,f625]) ).
fof(f1251,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)))
| ~ ssList(sK54)
| ~ memberP(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)),X0)
| ~ ssItem(X0) ),
inference(superposition,[],[f332,f426]) ).
fof(f1262,plain,
! [X0] :
( memberP(sK49,X0)
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)))
| ~ memberP(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)),X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f1251,f411]) ).
fof(f1263,plain,
! [X0] :
( ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| memberP(sK49,X0)
| ~ memberP(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)),X0)
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f1262,f625]) ).
fof(f1264,plain,
! [X0] :
( ~ memberP(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)),X0)
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| memberP(sK49,X0)
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f1263,f625]) ).
fof(f1448,definition,
( spl55_8
<=> nil = sK54 ),
introduced(definition,[new_symbols(definition,[spl55_8])],[avatar_definition]) ).
fof(f1449,plain,
( nil != sK54
| spl55_8 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1450,plain,
( nil = sK54
| ~ spl55_8 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1569,plain,
! [X0] :
( sK49 != app(X0,sK54)
| ~ ssList(sK54)
| ~ ssList(X0)
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)))
| app(app(sK53,cons(sK51,nil)),cons(sK52,nil)) = X0 ),
inference(superposition,[],[f390,f426]) ).
fof(f1571,plain,
! [X0] :
( sK49 != app(X0,sK49)
| ~ ssList(sK49)
| ~ ssList(X0)
| ~ ssList(nil)
| nil = X0 ),
inference(superposition,[],[f390,f480]) ).
fof(f1590,plain,
! [X0] :
( sK49 != app(X0,sK49)
| ~ ssList(X0)
| ~ ssList(nil)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f1571,f421]) ).
fof(f1591,plain,
! [X0] :
( sK49 != app(X0,sK54)
| ~ ssList(X0)
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)))
| app(app(sK53,cons(sK51,nil)),cons(sK52,nil)) = X0 ),
inference(forward_subsumption_resolution,[],[f1569,f411]) ).
fof(f1608,plain,
! [X0] :
( sK49 != app(X0,sK49)
| ~ ssList(X0)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f1590,f306]) ).
fof(f1609,plain,
( ! [X0] :
( app(X0,nil) != sK49
| ~ ssList(X0)
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)))
| app(app(sK53,cons(sK51,nil)),cons(sK52,nil)) = X0 )
| ~ spl55_8 ),
inference(forward_demodulation,[],[f1591,f1450]) ).
fof(f1625,plain,
( ! [X0] :
( ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| app(X0,nil) != sK49
| ~ ssList(X0)
| app(app(sK53,cons(sK51,nil)),cons(sK52,nil)) = X0 )
| ~ spl55_8 ),
inference(forward_demodulation,[],[f1609,f625]) ).
fof(f1816,plain,
! [X0] :
( frontsegP(cons(sK4(sK49),X0),sK49)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ frontsegP(X0,nil)
| ~ ssItem(sK4(sK49)) ),
inference(superposition,[],[f454,f630]) ).
fof(f1817,plain,
! [X0] :
( frontsegP(cons(sK4(sK49),X0),sK49)
| ~ ssList(X0)
| ~ frontsegP(X0,nil)
| ~ ssItem(sK4(sK49)) ),
inference(forward_subsumption_resolution,[],[f1816,f306]) ).
fof(f1822,plain,
( ! [X0] :
( frontsegP(cons(sK4(sK49),X0),sK49)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) )
| ~ spl55_1 ),
inference(forward_subsumption_resolution,[],[f1817,f754]) ).
fof(f1827,plain,
( ! [X0] :
( frontsegP(cons(sK4(sK49),X0),sK49)
| ~ ssList(X0) )
| ~ spl55_1 ),
inference(forward_subsumption_resolution,[],[f1822,f345]) ).
fof(f1959,plain,
! [X0] :
( ~ memberP(sK49,X0)
| ~ ssItem(sK4(sK49))
| ~ ssList(nil)
| memberP(nil,X0)
| sK4(sK49) = X0
| ~ ssItem(X0) ),
inference(superposition,[],[f333,f630]) ).
fof(f1962,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssList(nil)
| memberP(nil,X0)
| sK4(sK49) = X0
| ~ ssItem(X0) )
| ~ spl55_1 ),
inference(forward_subsumption_resolution,[],[f1959,f754]) ).
fof(f1963,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| memberP(nil,X0)
| sK4(sK49) = X0
| ~ ssItem(X0) )
| ~ spl55_1 ),
inference(forward_subsumption_resolution,[],[f1962,f306]) ).
fof(f1964,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| sK4(sK49) = X0
| ~ ssItem(X0) )
| ~ spl55_1 ),
inference(forward_subsumption_resolution,[],[f1963,f336]) ).
fof(f2331,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,[],[f432,f356]) ).
fof(f2332,plain,
! [X0] :
( segmentP(app(sK49,X0),sK54)
| ~ ssList(sK54)
| ~ ssList(X0)
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)))
| ~ ssList(app(sK49,X0)) ),
inference(superposition,[],[f432,f426]) ).
fof(f2334,plain,
! [X0] :
( segmentP(app(sK49,X0),sK49)
| ~ ssList(sK49)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(app(sK49,X0)) ),
inference(superposition,[],[f432,f480]) ).
fof(f2345,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,[],[f2331]) ).
fof(f2353,plain,
! [X0] :
( segmentP(app(sK49,X0),sK49)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(app(sK49,X0)) ),
inference(forward_subsumption_resolution,[],[f2334,f421]) ).
fof(f2354,plain,
! [X0] :
( segmentP(app(sK49,X0),sK54)
| ~ ssList(X0)
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)))
| ~ ssList(app(sK49,X0)) ),
inference(forward_subsumption_resolution,[],[f2332,f411]) ).
fof(f2359,plain,
! [X0] :
( segmentP(app(sK49,X0),sK49)
| ~ ssList(X0)
| ~ ssList(app(sK49,X0)) ),
inference(forward_subsumption_resolution,[],[f2353,f306]) ).
fof(f2372,plain,
( nil = tl(cons(sK4(sK49),nil))
| ~ spl55_1 ),
inference(resolution,[],[f769,f306]) ).
fof(f2409,plain,
( nil = tl(sK49)
| ~ spl55_1 ),
inference(forward_demodulation,[],[f2372,f630]) ).
fof(f2679,plain,
( sK49 = cons(hd(sK49),tl(sK49))
| ~ spl55_1 ),
inference(forward_subsumption_resolution,[],[f966,f971]) ).
fof(f2680,plain,
( sK49 = cons(hd(sK49),nil)
| ~ spl55_1 ),
inference(forward_demodulation,[],[f2679,f2409]) ).
fof(f2715,plain,
( memberP(sK49,hd(sK49))
| ~ ssList(nil)
| ~ ssItem(hd(sK49))
| ~ spl55_1 ),
inference(superposition,[],[f455,f2680]) ).
fof(f2720,plain,
( memberP(sK49,hd(sK49))
| ~ ssItem(hd(sK49))
| ~ spl55_1 ),
inference(forward_subsumption_resolution,[],[f2715,f306]) ).
fof(f2746,definition,
( spl55_13
<=> ssItem(hd(sK49)) ),
introduced(definition,[new_symbols(definition,[spl55_13])],[avatar_definition]) ).
fof(f2747,plain,
( ssItem(hd(sK49))
| ~ spl55_13 ),
inference(avatar_component_clause,[],[f2746]) ).
fof(f2748,plain,
( ~ ssItem(hd(sK49))
| spl55_13 ),
inference(avatar_component_clause,[],[f2746]) ).
fof(f2750,definition,
( spl55_14
<=> memberP(sK49,hd(sK49)) ),
introduced(definition,[new_symbols(definition,[spl55_14])],[avatar_definition]) ).
fof(f2752,plain,
( memberP(sK49,hd(sK49))
| ~ spl55_14 ),
inference(avatar_component_clause,[],[f2750]) ).
fof(f2753,plain,
( ~ spl55_13
| spl55_14
| ~ spl55_1 ),
inference(avatar_split_clause,[],[f2720,f753,f2750,f2746]) ).
fof(f2754,plain,
( nil = sK49
| ~ ssList(sK49)
| spl55_13 ),
inference(resolution,[],[f2748,f314]) ).
fof(f2755,plain,
( ~ ssList(sK49)
| ~ spl55_1
| spl55_13 ),
inference(forward_subsumption_resolution,[],[f2754,f971]) ).
fof(f2756,plain,
( $false
| ~ spl55_1
| spl55_13 ),
inference(forward_subsumption_resolution,[],[f2755,f421]) ).
fof(f2757,plain,
( ~ spl55_1
| spl55_13 ),
inference(avatar_contradiction_clause,[],[f2756]) ).
fof(f2804,plain,
( sK4(sK49) = hd(sK49)
| ~ ssItem(hd(sK49))
| ~ spl55_1
| ~ spl55_14 ),
inference(resolution,[],[f2752,f1964]) ).
fof(f2807,plain,
( sK4(sK49) = hd(sK49)
| ~ spl55_1
| ~ spl55_13
| ~ spl55_14 ),
inference(forward_subsumption_resolution,[],[f2804,f2747]) ).
fof(f3515,definition,
( spl55_15
<=> ssList(cons(sK51,nil)) ),
introduced(definition,[new_symbols(definition,[spl55_15])],[avatar_definition]) ).
fof(f3516,plain,
( ssList(cons(sK51,nil))
| ~ spl55_15 ),
inference(avatar_component_clause,[],[f3515]) ).
fof(f3517,plain,
( ~ ssList(cons(sK51,nil))
| spl55_15 ),
inference(avatar_component_clause,[],[f3515]) ).
fof(f3611,plain,
( ~ ssItem(sK51)
| ~ ssList(nil)
| spl55_15 ),
inference(resolution,[],[f3517,f305]) ).
fof(f3612,plain,
( ~ ssList(nil)
| spl55_15 ),
inference(forward_subsumption_resolution,[],[f3611,f416]) ).
fof(f3613,plain,
( $false
| spl55_15 ),
inference(forward_subsumption_resolution,[],[f3612,f306]) ).
fof(f3614,plain,
spl55_15,
inference(avatar_contradiction_clause,[],[f3613]) ).
fof(f4086,plain,
( ! [X0] :
( app(app(sK53,cons(sK51,nil)),cons(sK51,nil)) = X0
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| app(X0,nil) != sK49
| ~ ssList(X0) )
| ~ spl55_8 ),
inference(forward_demodulation,[],[f1625,f625]) ).
fof(f4236,definition,
( spl55_19
<=> ssList(app(sK53,cons(sK51,nil))) ),
introduced(definition,[new_symbols(definition,[spl55_19])],[avatar_definition]) ).
fof(f4237,plain,
( ssList(app(sK53,cons(sK51,nil)))
| ~ spl55_19 ),
inference(avatar_component_clause,[],[f4236]) ).
fof(f4238,plain,
( ~ ssList(app(sK53,cons(sK51,nil)))
| spl55_19 ),
inference(avatar_component_clause,[],[f4236]) ).
fof(f4240,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(sK53)
| spl55_19 ),
inference(resolution,[],[f4238,f318]) ).
fof(f4241,plain,
( ~ ssList(sK53)
| ~ spl55_15
| spl55_19 ),
inference(forward_subsumption_resolution,[],[f4240,f3516]) ).
fof(f4242,plain,
( $false
| ~ spl55_15
| spl55_19 ),
inference(forward_subsumption_resolution,[],[f4241,f413]) ).
fof(f4243,plain,
( ~ spl55_15
| spl55_19 ),
inference(avatar_contradiction_clause,[],[f4242]) ).
fof(f4840,definition,
( spl55_21
<=> ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil))) ),
introduced(definition,[new_symbols(definition,[spl55_21])],[avatar_definition]) ).
fof(f4841,plain,
( ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl55_21 ),
inference(avatar_component_clause,[],[f4840]) ).
fof(f4842,plain,
( ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| spl55_21 ),
inference(avatar_component_clause,[],[f4840]) ).
fof(f4896,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(app(sK53,cons(sK51,nil)))
| spl55_21 ),
inference(resolution,[],[f4842,f318]) ).
fof(f4897,plain,
( ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl55_15
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f4896,f3516]) ).
fof(f4898,plain,
( $false
| ~ spl55_15
| ~ spl55_19
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f4897,f4237]) ).
fof(f4899,plain,
( ~ spl55_15
| ~ spl55_19
| spl55_21 ),
inference(avatar_contradiction_clause,[],[f4898]) ).
fof(f5060,plain,
( ! [X0] :
( ~ memberP(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)),X0)
| memberP(sK49,X0)
| ~ ssItem(X0) )
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f1264,f4841]) ).
fof(f5066,plain,
( memberP(sK49,sK51)
| ~ ssItem(sK51)
| ~ ssItem(sK51)
| ~ ssList(nil)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl55_21 ),
inference(resolution,[],[f5060,f428]) ).
fof(f5067,plain,
( memberP(sK49,sK51)
| ~ ssItem(sK51)
| ~ ssList(nil)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl55_21 ),
inference(duplicate_literal_removal,[],[f5066]) ).
fof(f5070,plain,
( memberP(sK49,sK51)
| ~ ssList(nil)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f5067,f416]) ).
fof(f5073,plain,
( memberP(sK49,sK51)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f5070,f306]) ).
fof(f5076,plain,
( memberP(sK49,sK51)
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl55_19
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f5073,f4237]) ).
fof(f5077,plain,
( memberP(sK49,sK51)
| ~ spl55_19
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f5076,f4841]) ).
fof(f5078,plain,
( sK51 = sK4(sK49)
| ~ ssItem(sK51)
| ~ spl55_1
| ~ spl55_19
| ~ spl55_21 ),
inference(resolution,[],[f5077,f1964]) ).
fof(f5081,plain,
( sK51 = sK4(sK49)
| ~ spl55_1
| ~ spl55_19
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f5078,f416]) ).
fof(f5084,plain,
( sK51 = hd(sK49)
| ~ spl55_1
| ~ spl55_13
| ~ spl55_14
| ~ spl55_19
| ~ spl55_21 ),
inference(superposition,[],[f5081,f2807]) ).
fof(f5085,plain,
( sK49 = cons(sK51,nil)
| ~ spl55_1
| ~ spl55_19
| ~ spl55_21 ),
inference(superposition,[],[f630,f5081]) ).
fof(f5088,plain,
( ! [X0] :
( frontsegP(cons(sK51,X0),sK49)
| ~ ssList(X0) )
| ~ spl55_1
| ~ spl55_19
| ~ spl55_21 ),
inference(superposition,[],[f1827,f5081]) ).
fof(f5135,plain,
( ! [X0] :
( app(app(sK53,cons(sK51,nil)),cons(sK51,nil)) = X0
| app(X0,nil) != sK49
| ~ ssList(X0) )
| ~ spl55_8
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f4086,f4841]) ).
fof(f5149,plain,
( ssList(app(sK53,sK49))
| ~ spl55_1
| ~ spl55_19
| ~ spl55_21 ),
inference(superposition,[],[f4237,f5085]) ).
fof(f5249,plain,
( ! [X0] :
( app(X0,nil) != sK49
| app(app(sK53,sK49),sK49) = X0
| ~ ssList(X0) )
| ~ spl55_1
| ~ spl55_8
| ~ spl55_19
| ~ spl55_21 ),
inference(forward_demodulation,[],[f5135,f5085]) ).
fof(f5259,plain,
( sK49 != sK49
| sK49 = app(app(sK53,sK49),sK49)
| ~ ssList(sK49)
| ~ spl55_1
| ~ spl55_8
| ~ spl55_19
| ~ spl55_21 ),
inference(superposition,[],[f5249,f505]) ).
fof(f5263,plain,
( sK49 = app(app(sK53,sK49),sK49)
| ~ ssList(sK49)
| ~ spl55_1
| ~ spl55_8
| ~ spl55_19
| ~ spl55_21 ),
inference(trivial_inequality_removal,[],[f5259]) ).
fof(f5268,plain,
( sK49 = app(app(sK53,sK49),sK49)
| ~ spl55_1
| ~ spl55_8
| ~ spl55_19
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f5263,f421]) ).
fof(f17554,plain,
! [X0] :
( ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| sK49 != app(X0,sK54)
| ~ ssList(X0)
| app(app(sK53,cons(sK51,nil)),cons(sK52,nil)) = X0 ),
inference(forward_demodulation,[],[f1591,f625]) ).
fof(f17558,plain,
! [X0] :
( ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| segmentP(app(sK49,X0),sK54)
| ~ ssList(X0)
| ~ ssList(app(sK49,X0)) ),
inference(forward_demodulation,[],[f2354,f625]) ).
fof(f17571,plain,
( ! [X0] :
( memberP(sK49,X0)
| ~ memberP(sK54,X0)
| ~ ssItem(X0) )
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f1249,f4841]) ).
fof(f17626,plain,
( ! [X0] :
( sK49 != app(X0,sK54)
| ~ ssList(X0)
| app(app(sK53,cons(sK51,nil)),cons(sK52,nil)) = X0 )
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f17554,f4841]) ).
fof(f17629,plain,
( ! [X0] :
( segmentP(app(sK49,X0),sK54)
| ~ ssList(X0)
| ~ ssList(app(sK49,X0)) )
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f17558,f4841]) ).
fof(f17655,plain,
( ! [X0] :
( app(app(sK53,cons(sK51,nil)),cons(sK51,nil)) = X0
| sK49 != app(X0,sK54)
| ~ ssList(X0) )
| ~ spl55_21 ),
inference(forward_demodulation,[],[f17626,f625]) ).
fof(f17662,plain,
( ! [X0] :
( sK49 != app(X0,sK54)
| app(app(sK53,sK49),sK49) = X0
| ~ ssList(X0) )
| ~ spl55_1
| ~ spl55_19
| ~ spl55_21 ),
inference(forward_demodulation,[],[f17655,f5085]) ).
fof(f17692,plain,
( ! [X0] :
( ~ memberP(sK54,X0)
| ~ ssItem(X0)
| sK4(sK49) = X0
| ~ ssItem(X0) )
| ~ spl55_1
| ~ spl55_21 ),
inference(resolution,[],[f17571,f1964]) ).
fof(f17707,plain,
( ! [X0] :
( ~ memberP(sK54,X0)
| ~ ssItem(X0)
| sK4(sK49) = X0 )
| ~ spl55_1
| ~ spl55_21 ),
inference(duplicate_literal_removal,[],[f17692]) ).
fof(f17716,plain,
( ! [X0] :
( hd(sK49) = X0
| ~ memberP(sK54,X0)
| ~ ssItem(X0) )
| ~ spl55_1
| ~ spl55_13
| ~ spl55_14
| ~ spl55_21 ),
inference(forward_demodulation,[],[f17707,f2807]) ).
fof(f17717,plain,
( ! [X0] :
( ~ memberP(sK54,X0)
| sK51 = X0
| ~ ssItem(X0) )
| ~ spl55_1
| ~ spl55_13
| ~ spl55_14
| ~ spl55_19
| ~ spl55_21 ),
inference(forward_demodulation,[],[f17716,f5084]) ).
fof(f17746,plain,
( sK54 = cons(sK44(sK54),sK43(sK54))
| spl55_8 ),
inference(forward_subsumption_resolution,[],[f932,f1449]) ).
fof(f17780,plain,
( memberP(sK54,sK44(sK54))
| ~ ssList(sK43(sK54))
| ~ ssItem(sK44(sK54))
| spl55_8 ),
inference(superposition,[],[f455,f17746]) ).
fof(f17996,plain,
( segmentP(sK49,sK54)
| ~ ssList(nil)
| ~ ssList(sK49)
| ~ spl55_21 ),
inference(superposition,[],[f17629,f505]) ).
fof(f18013,plain,
( segmentP(sK49,sK54)
| ~ ssList(sK49)
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f17996,f306]) ).
fof(f18027,plain,
( segmentP(sK49,sK54)
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f18013,f421]) ).
fof(f18566,plain,
( sK49 != sK54
| nil = app(app(sK53,sK49),sK49)
| ~ ssList(nil)
| ~ spl55_1
| ~ spl55_19
| ~ spl55_21 ),
inference(superposition,[],[f17662,f483]) ).
fof(f18568,plain,
( sK49 != sK54
| nil = app(app(sK53,sK49),sK49)
| ~ spl55_1
| ~ spl55_19
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f18566,f306]) ).
fof(f19469,definition,
( spl55_34
<=> sK49 = sK54 ),
introduced(definition,[new_symbols(definition,[spl55_34])],[avatar_definition]) ).
fof(f19470,plain,
( sK49 != sK54
| spl55_34 ),
inference(avatar_component_clause,[],[f19469]) ).
fof(f19471,plain,
( sK49 = sK54
| ~ spl55_34 ),
inference(avatar_component_clause,[],[f19469]) ).
fof(f56882,definition,
( spl55_63
<=> ssItem(sK44(sK54)) ),
introduced(definition,[new_symbols(definition,[spl55_63])],[avatar_definition]) ).
fof(f56883,plain,
( ssItem(sK44(sK54))
| ~ spl55_63 ),
inference(avatar_component_clause,[],[f56882]) ).
fof(f56884,plain,
( ~ ssItem(sK44(sK54))
| spl55_63 ),
inference(avatar_component_clause,[],[f56882]) ).
fof(f56886,definition,
( spl55_64
<=> ssList(sK43(sK54)) ),
introduced(definition,[new_symbols(definition,[spl55_64])],[avatar_definition]) ).
fof(f56887,plain,
( ssList(sK43(sK54))
| ~ spl55_64 ),
inference(avatar_component_clause,[],[f56886]) ).
fof(f56888,plain,
( ~ ssList(sK43(sK54))
| spl55_64 ),
inference(avatar_component_clause,[],[f56886]) ).
fof(f56890,definition,
( spl55_65
<=> memberP(sK54,sK44(sK54)) ),
introduced(definition,[new_symbols(definition,[spl55_65])],[avatar_definition]) ).
fof(f56892,plain,
( memberP(sK54,sK44(sK54))
| ~ spl55_65 ),
inference(avatar_component_clause,[],[f56890]) ).
fof(f56893,plain,
( ~ spl55_63
| ~ spl55_64
| spl55_65
| spl55_8 ),
inference(avatar_split_clause,[],[f17780,f1448,f56890,f56886,f56882]) ).
fof(f56894,plain,
( ~ ssList(sK54)
| nil = sK54
| spl55_63 ),
inference(resolution,[],[f56884,f311]) ).
fof(f56895,plain,
( nil = sK54
| spl55_63 ),
inference(forward_subsumption_resolution,[],[f56894,f411]) ).
fof(f56896,plain,
( $false
| spl55_8
| spl55_63 ),
inference(forward_subsumption_resolution,[],[f56895,f1449]) ).
fof(f56897,plain,
( spl55_8
| spl55_63 ),
inference(avatar_contradiction_clause,[],[f56896]) ).
fof(f57284,plain,
( sK49 != sK49
| ~ ssList(app(sK53,sK49))
| nil = app(sK53,sK49)
| ~ spl55_1
| ~ spl55_8
| ~ spl55_19
| ~ spl55_21 ),
inference(superposition,[],[f1608,f5268]) ).
fof(f57319,plain,
( ~ ssList(app(sK53,sK49))
| nil = app(sK53,sK49)
| ~ spl55_1
| ~ spl55_8
| ~ spl55_19
| ~ spl55_21 ),
inference(trivial_inequality_removal,[],[f57284]) ).
fof(f57334,plain,
( nil = app(sK53,sK49)
| ~ spl55_1
| ~ spl55_8
| ~ spl55_19
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f57319,f5149]) ).
fof(f57620,plain,
( ~ rearsegP(sK49,nil)
| ~ ssList(sK49)
| ~ ssList(sK53)
| nil = sK49
| ~ spl55_1
| ~ spl55_8
| ~ spl55_19
| ~ spl55_21 ),
inference(superposition,[],[f1216,f57334]) ).
fof(f57635,plain,
( ~ ssList(sK49)
| ~ ssList(sK53)
| nil = sK49
| ~ spl55_1
| ~ spl55_8
| ~ spl55_19
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f57620,f352]) ).
fof(f57664,plain,
( ~ ssList(sK53)
| nil = sK49
| ~ spl55_1
| ~ spl55_8
| ~ spl55_19
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f57635,f421]) ).
fof(f57683,plain,
( nil = sK49
| ~ spl55_1
| ~ spl55_8
| ~ spl55_19
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f57664,f413]) ).
fof(f57695,plain,
( $false
| ~ spl55_1
| ~ spl55_8
| ~ spl55_19
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f57683,f971]) ).
fof(f57696,plain,
( ~ spl55_1
| ~ spl55_8
| ~ spl55_19
| ~ spl55_21 ),
inference(avatar_contradiction_clause,[],[f57695]) ).
fof(f57713,plain,
( sK54 = cons(sK44(sK54),sK43(sK54))
| spl55_8 ),
inference(forward_subsumption_resolution,[],[f932,f1449]) ).
fof(f57887,plain,
( ~ ssList(sK54)
| nil = sK54
| spl55_64 ),
inference(resolution,[],[f56888,f312]) ).
fof(f57888,plain,
( nil = sK54
| spl55_64 ),
inference(forward_subsumption_resolution,[],[f57887,f411]) ).
fof(f57889,plain,
( $false
| spl55_8
| spl55_64 ),
inference(forward_subsumption_resolution,[],[f57888,f1449]) ).
fof(f57890,plain,
( spl55_8
| spl55_64 ),
inference(avatar_contradiction_clause,[],[f57889]) ).
fof(f58461,plain,
( sK51 = sK44(sK54)
| ~ ssItem(sK44(sK54))
| ~ spl55_1
| ~ spl55_13
| ~ spl55_14
| ~ spl55_19
| ~ spl55_21
| ~ spl55_65 ),
inference(resolution,[],[f56892,f17717]) ).
fof(f58542,plain,
( sK51 = sK44(sK54)
| ~ spl55_1
| ~ spl55_13
| ~ spl55_14
| ~ spl55_19
| ~ spl55_21
| ~ spl55_63
| ~ spl55_65 ),
inference(forward_subsumption_resolution,[],[f58461,f56883]) ).
fof(f58587,plain,
( sK54 = cons(sK51,sK43(sK54))
| ~ spl55_1
| spl55_8
| ~ spl55_13
| ~ spl55_14
| ~ spl55_19
| ~ spl55_21
| ~ spl55_63
| ~ spl55_65 ),
inference(superposition,[],[f57713,f58542]) ).
fof(f58954,plain,
( frontsegP(sK54,sK49)
| ~ ssList(sK43(sK54))
| ~ spl55_1
| spl55_8
| ~ spl55_13
| ~ spl55_14
| ~ spl55_19
| ~ spl55_21
| ~ spl55_63
| ~ spl55_65 ),
inference(superposition,[],[f5088,f58587]) ).
fof(f59063,plain,
( frontsegP(sK54,sK49)
| ~ spl55_1
| spl55_8
| ~ spl55_13
| ~ spl55_14
| ~ spl55_19
| ~ spl55_21
| ~ spl55_63
| ~ spl55_64
| ~ spl55_65 ),
inference(forward_subsumption_resolution,[],[f58954,f56887]) ).
fof(f59118,plain,
( ~ ssList(sK49)
| sK54 = app(sK49,sK5(sK54,sK49))
| ~ ssList(sK54)
| ~ spl55_1
| spl55_8
| ~ spl55_13
| ~ spl55_14
| ~ spl55_19
| ~ spl55_21
| ~ spl55_63
| ~ spl55_64
| ~ spl55_65 ),
inference(resolution,[],[f59063,f235]) ).
fof(f59174,plain,
( sK54 = app(sK49,sK5(sK54,sK49))
| ~ ssList(sK54)
| ~ spl55_1
| spl55_8
| ~ spl55_13
| ~ spl55_14
| ~ spl55_19
| ~ spl55_21
| ~ spl55_63
| ~ spl55_64
| ~ spl55_65 ),
inference(forward_subsumption_resolution,[],[f59118,f421]) ).
fof(f59203,plain,
( sK54 = app(sK49,sK5(sK54,sK49))
| ~ spl55_1
| spl55_8
| ~ spl55_13
| ~ spl55_14
| ~ spl55_19
| ~ spl55_21
| ~ spl55_63
| ~ spl55_64
| ~ spl55_65 ),
inference(forward_subsumption_resolution,[],[f59174,f411]) ).
fof(f62896,plain,
( segmentP(sK54,sK49)
| ~ ssList(sK5(sK54,sK49))
| ~ ssList(sK54)
| ~ spl55_1
| spl55_8
| ~ spl55_13
| ~ spl55_14
| ~ spl55_19
| ~ spl55_21
| ~ spl55_63
| ~ spl55_64
| ~ spl55_65 ),
inference(superposition,[],[f2359,f59203]) ).
fof(f62943,plain,
( segmentP(sK54,sK49)
| ~ ssList(sK5(sK54,sK49))
| ~ spl55_1
| spl55_8
| ~ spl55_13
| ~ spl55_14
| ~ spl55_19
| ~ spl55_21
| ~ spl55_63
| ~ spl55_64
| ~ spl55_65 ),
inference(forward_subsumption_resolution,[],[f62896,f411]) ).
fof(f62945,definition,
( spl55_72
<=> ssList(sK5(sK54,sK49)) ),
introduced(definition,[new_symbols(definition,[spl55_72])],[avatar_definition]) ).
fof(f62947,plain,
( ~ ssList(sK5(sK54,sK49))
| spl55_72 ),
inference(avatar_component_clause,[],[f62945]) ).
fof(f62949,definition,
( spl55_73
<=> segmentP(sK54,sK49) ),
introduced(definition,[new_symbols(definition,[spl55_73])],[avatar_definition]) ).
fof(f62951,plain,
( segmentP(sK54,sK49)
| ~ spl55_73 ),
inference(avatar_component_clause,[],[f62949]) ).
fof(f62952,plain,
( ~ spl55_72
| spl55_73
| ~ spl55_1
| spl55_8
| ~ spl55_13
| ~ spl55_14
| ~ spl55_19
| ~ spl55_21
| ~ spl55_63
| ~ spl55_64
| ~ spl55_65 ),
inference(avatar_split_clause,[],[f62943,f56890,f56886,f56882,f4840,f4236,f2750,f2746,f1448,f753,f62949,f62945]) ).
fof(f62953,plain,
( ~ ssList(sK49)
| ~ ssList(sK54)
| ~ frontsegP(sK54,sK49)
| spl55_72 ),
inference(resolution,[],[f62947,f236]) ).
fof(f62954,plain,
( ~ ssList(sK54)
| ~ frontsegP(sK54,sK49)
| spl55_72 ),
inference(forward_subsumption_resolution,[],[f62953,f421]) ).
fof(f62955,plain,
( ~ frontsegP(sK54,sK49)
| spl55_72 ),
inference(forward_subsumption_resolution,[],[f62954,f411]) ).
fof(f62956,plain,
( $false
| ~ spl55_1
| spl55_8
| ~ spl55_13
| ~ spl55_14
| ~ spl55_19
| ~ spl55_21
| ~ spl55_63
| ~ spl55_64
| ~ spl55_65
| spl55_72 ),
inference(forward_subsumption_resolution,[],[f62955,f59063]) ).
fof(f62957,plain,
( ~ spl55_1
| spl55_8
| ~ spl55_13
| ~ spl55_14
| ~ spl55_19
| ~ spl55_21
| ~ spl55_63
| ~ spl55_64
| ~ spl55_65
| spl55_72 ),
inference(avatar_contradiction_clause,[],[f62956]) ).
fof(f63063,plain,
( ~ segmentP(sK49,sK54)
| ~ ssList(sK49)
| ~ ssList(sK54)
| sK49 = sK54
| ~ spl55_73 ),
inference(resolution,[],[f62951,f356]) ).
fof(f63150,plain,
( ~ ssList(sK49)
| ~ ssList(sK54)
| sK49 = sK54
| ~ spl55_21
| ~ spl55_73 ),
inference(forward_subsumption_resolution,[],[f63063,f18027]) ).
fof(f63196,plain,
( ~ ssList(sK54)
| sK49 = sK54
| ~ spl55_21
| ~ spl55_73 ),
inference(forward_subsumption_resolution,[],[f63150,f421]) ).
fof(f63201,plain,
( sK49 = sK54
| ~ spl55_21
| ~ spl55_73 ),
inference(forward_subsumption_resolution,[],[f63196,f411]) ).
fof(f63204,plain,
( $false
| ~ spl55_21
| spl55_34
| ~ spl55_73 ),
inference(forward_subsumption_resolution,[],[f63201,f19470]) ).
fof(f63205,plain,
( ~ spl55_21
| spl55_34
| ~ spl55_73 ),
inference(avatar_contradiction_clause,[],[f63204]) ).
fof(f63493,plain,
( nil = app(app(sK53,sK49),sK49)
| ~ spl55_1
| ~ spl55_19
| ~ spl55_21
| ~ spl55_34 ),
inference(forward_subsumption_resolution,[],[f18568,f19471]) ).
fof(f63536,plain,
( ~ segmentP(sK49,nil)
| ~ ssList(sK49)
| ~ ssList(sK53)
| ~ ssList(nil)
| ~ ssList(sK49)
| nil = sK49
| ~ spl55_1
| ~ spl55_19
| ~ spl55_21
| ~ spl55_34 ),
inference(superposition,[],[f2345,f63493]) ).
fof(f63541,plain,
( ~ segmentP(sK49,nil)
| ~ ssList(sK49)
| ~ ssList(sK53)
| ~ ssList(nil)
| nil = sK49
| ~ spl55_1
| ~ spl55_19
| ~ spl55_21
| ~ spl55_34 ),
inference(duplicate_literal_removal,[],[f63536]) ).
fof(f63549,plain,
( ~ ssList(sK49)
| ~ ssList(sK53)
| ~ ssList(nil)
| nil = sK49
| ~ spl55_1
| ~ spl55_19
| ~ spl55_21
| ~ spl55_34 ),
inference(forward_subsumption_resolution,[],[f63541,f359]) ).
fof(f63579,plain,
( ~ ssList(sK53)
| ~ ssList(nil)
| nil = sK49
| ~ spl55_1
| ~ spl55_19
| ~ spl55_21
| ~ spl55_34 ),
inference(forward_subsumption_resolution,[],[f63549,f421]) ).
fof(f63607,plain,
( ~ ssList(nil)
| nil = sK49
| ~ spl55_1
| ~ spl55_19
| ~ spl55_21
| ~ spl55_34 ),
inference(forward_subsumption_resolution,[],[f63579,f413]) ).
fof(f63623,plain,
( nil = sK49
| ~ spl55_1
| ~ spl55_19
| ~ spl55_21
| ~ spl55_34 ),
inference(forward_subsumption_resolution,[],[f63607,f306]) ).
fof(f63627,plain,
( $false
| ~ spl55_1
| ~ spl55_19
| ~ spl55_21
| ~ spl55_34 ),
inference(forward_subsumption_resolution,[],[f63623,f971]) ).
fof(f63628,plain,
( ~ spl55_1
| ~ spl55_19
| ~ spl55_21
| ~ spl55_34 ),
inference(avatar_contradiction_clause,[],[f63627]) ).
cnf(s2,plain,
spl55_1,
inference(sat_conversion,[],[f766]) ).
cnf(s10,plain,
( ~ spl55_1
| ~ spl55_13
| spl55_14 ),
inference(sat_conversion,[],[f2753]) ).
cnf(s11,plain,
( ~ spl55_1
| spl55_13 ),
inference(sat_conversion,[],[f2757]) ).
cnf(s13,plain,
spl55_15,
inference(sat_conversion,[],[f3614]) ).
cnf(s17,plain,
( ~ spl55_15
| spl55_19 ),
inference(sat_conversion,[],[f4243]) ).
cnf(s19,plain,
( ~ spl55_15
| ~ spl55_19
| spl55_21 ),
inference(sat_conversion,[],[f4899]) ).
cnf(s66,plain,
( spl55_8
| ~ spl55_63
| ~ spl55_64
| spl55_65 ),
inference(sat_conversion,[],[f56893]) ).
cnf(s67,plain,
( spl55_8
| spl55_63 ),
inference(sat_conversion,[],[f56897]) ).
cnf(s72,plain,
( ~ spl55_1
| ~ spl55_8
| ~ spl55_19
| ~ spl55_21 ),
inference(sat_conversion,[],[f57696]) ).
cnf(s74,plain,
( spl55_8
| spl55_64 ),
inference(sat_conversion,[],[f57890]) ).
cnf(s81,plain,
( ~ spl55_1
| spl55_8
| ~ spl55_13
| ~ spl55_14
| ~ spl55_19
| ~ spl55_21
| ~ spl55_63
| ~ spl55_64
| ~ spl55_65
| ~ spl55_72
| spl55_73 ),
inference(sat_conversion,[],[f62952]) ).
cnf(s82,plain,
( ~ spl55_1
| spl55_8
| ~ spl55_13
| ~ spl55_14
| ~ spl55_19
| ~ spl55_21
| ~ spl55_63
| ~ spl55_64
| ~ spl55_65
| spl55_72 ),
inference(sat_conversion,[],[f62957]) ).
cnf(s84,plain,
( ~ spl55_21
| spl55_34
| ~ spl55_73 ),
inference(sat_conversion,[],[f63205]) ).
cnf(s90,plain,
( ~ spl55_1
| ~ spl55_19
| ~ spl55_21
| ~ spl55_34 ),
inference(sat_conversion,[],[f63628]) ).
cnf(s105,plain,
spl55_19,
inference(rat,[],[s17,s13]) ).
cnf(s108,plain,
spl55_21,
inference(rat,[],[s19,s13,s105]) ).
cnf(s113,plain,
~ spl55_34,
inference(rat,[],[s90,s108,s105,s2]) ).
cnf(s114,plain,
~ spl55_8,
inference(rat,[],[s72,s108,s105,s2]) ).
cnf(s118,plain,
spl55_13,
inference(rat,[],[s11,s2]) ).
cnf(s120,plain,
~ spl55_73,
inference(rat,[],[s84,s108,s113]) ).
cnf(s124,plain,
spl55_64,
inference(rat,[],[s74,s114]) ).
cnf(s125,plain,
spl55_63,
inference(rat,[],[s67,s114]) ).
cnf(s135,plain,
spl55_14,
inference(rat,[],[s10,s2,s118]) ).
cnf(s138,plain,
spl55_65,
inference(rat,[],[s66,s114,s124,s125]) ).
cnf(s141,plain,
spl55_72,
inference(rat,[],[s82,s135,s118,s124,s125,s108,s105,s114,s2,s138]) ).
cnf(s142,plain,
$false,
inference(rat,[],[s81,s120,s135,s118,s124,s125,s108,s105,s114,s2,s141,s138]) ).
fof(f63629,plain,
$false,
inference(avatar_sat_refutation,[],[s142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC174+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 08:16:30 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.43/2.39 % (3243973)Will run a generic schedule for satisfiability detection.
% 13.43/2.39 % (3243981)dis+10_1_sil=32000:sp=arity:random_seed=15356172:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.43/2.39 % (3243979)% WARNING: option uhcvi not known.
% 13.43/2.39 % (3243978)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=122375390_2999 on theBenchmark for (2999ds/0Mi)
% 13.43/2.39 % (3243980)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3654557618:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.43/2.39 % (3243982)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2438836476:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.43/2.39 % (3243983)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3089279418:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.43/2.39 % (3243984)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1790328797:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.43/2.39 % (3243979)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3852331103:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.43/2.39 % TRYING [1]
% 13.43/2.39 % TRYING [2]
% 13.43/2.39 % TRYING [3]
% 13.43/2.39 % (3243981)Instruction limit reached!
% 13.43/2.39 % (3243981)------------------------------
% 13.43/2.39 % (3243981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.43/2.39 % (3243981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.39 % (3243981)CaDiCaL version: 2.1.3
% 13.43/2.39 % (3243981)Termination reason: Instruction limit
% 13.43/2.39 % (3243981)Termination phase: Saturation
% 13.43/2.39 % (3243981)Time elapsed: 0.034 s
% 13.43/2.39 % (3243981)Peak memory usage: 13 MB
% 13.43/2.39 % (3243981)Instructions burned: 104 (million)
% 13.43/2.39 % TRYING [4]
% 13.43/2.39 % (3243992)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2549836364:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.43/2.39 % TRYING [1]
% 13.43/2.39 % TRYING [2]
% 13.43/2.39 % TRYING [3]
% 13.43/2.39 % TRYING [4]
% 13.43/2.39 % (3243982)Instruction limit reached!
% 13.43/2.39 % (3243982)------------------------------
% 13.43/2.39 % (3243982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.43/2.39 % (3243982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.39 % (3243982)CaDiCaL version: 2.1.3
% 13.43/2.39 % (3243982)Termination reason: Instruction limit
% 13.43/2.39 % (3243982)Termination phase: Saturation
% 13.43/2.39 % (3243982)Time elapsed: 0.069 s
% 13.43/2.39 % (3243982)Peak memory usage: 13 MB
% 13.43/2.39 % (3243982)Instructions burned: 116 (million)
% 13.43/2.39 % (3243983)Instruction limit reached!
% 13.43/2.39 % (3243983)------------------------------
% 13.43/2.39 % (3243983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.43/2.39 % (3243983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.39 % (3243983)CaDiCaL version: 2.1.3
% 13.43/2.39 % (3243983)Termination reason: Instruction limit
% 13.43/2.39 % (3243983)Termination phase: Saturation
% 13.43/2.39 % (3243983)Time elapsed: 0.078 s
% 13.43/2.39 % (3243983)Peak memory usage: 14 MB
% 13.43/2.39 % (3243983)Instructions burned: 132 (million)
% 13.43/2.39 % TRYING [5]
% 13.43/2.39 % TRYING [5]
% 13.43/2.39 % (3243994)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1314559640:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 13.43/2.39 % (3243984)Instruction limit reached!
% 13.43/2.39 % (3243984)------------------------------
% 13.43/2.39 % (3243984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.43/2.39 % (3243984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.39 % (3243984)CaDiCaL version: 2.1.3
% 13.43/2.39 % (3243984)Termination reason: Instruction limit
% 13.43/2.39 % (3243984)Termination phase: Saturation
% 13.43/2.39 % (3243984)Time elapsed: 0.096 s
% 13.43/2.39 % (3243984)Peak memory usage: 14 MB
% 13.43/2.39 % (3243984)Instructions burned: 160 (million)
% 13.43/2.39 % (3243995)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=4043389388:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.43/2.39 % (3243997)ott-21_1_sil=16000:fs=off:random_seed=1727568457:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.43/2.39 % (3243994)Instruction limit reached!
% 13.43/2.39 % (3243994)------------------------------
% 13.43/2.39 % (3243994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/3.26 % (3243994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/3.26 % (3243994)CaDiCaL version: 2.1.3
% 18.04/3.26 % (3243994)Termination reason: Instruction limit
% 18.04/3.26 % (3243994)Termination phase: Saturation
% 18.04/3.26 % (3243994)Time elapsed: 0.071 s
% 18.04/3.26 % (3243994)Peak memory usage: 13 MB
% 18.04/3.26 % (3243994)Instructions burned: 132 (million)
% 18.04/3.26 % TRYING [6]
% 18.04/3.26 % (3244000)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=390036340:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 18.04/3.26 % (3243992)Instruction limit reached!
% 18.04/3.26 % (3243992)------------------------------
% 18.04/3.26 % (3243992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/3.26 % (3243992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/3.26 % (3243992)CaDiCaL version: 2.1.3
% 18.04/3.26 % (3243992)Termination reason: Instruction limit
% 18.04/3.26 % (3243992)Termination phase: Finite model building constraint generation
% 18.04/3.26 % (3243992)Time elapsed: 0.161 s
% 18.04/3.26 % (3243992)Peak memory usage: 28 MB
% 18.04/3.26 % (3243992)Instructions burned: 717 (million)
% 18.04/3.26 % (3243997)Instruction limit reached!
% 18.04/3.26 % (3243997)------------------------------
% 18.04/3.26 % (3243997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/3.26 % (3243997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/3.26 % (3243997)CaDiCaL version: 2.1.3
% 18.04/3.26 % (3243997)Termination reason: Instruction limit
% 18.04/3.26 % (3243997)Termination phase: Saturation
% 18.04/3.26 % (3243997)Time elapsed: 0.089 s
% 18.04/3.26 % (3243997)Peak memory usage: 14 MB
% 18.04/3.26 % (3243997)Instructions burned: 181 (million)
% 18.04/3.26 % (3244002)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=592654071:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 18.04/3.26 % TRYING [1]
% 18.04/3.26 % TRYING [2]
% 18.04/3.26 % (3244003)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4014072453:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 18.04/3.26 % TRYING [3]
% 18.04/3.26 % TRYING [6]
% 18.04/3.26 % TRYING [4]
% 18.04/3.26 % TRYING [5]
% 18.04/3.26 % (3244002)Instruction limit reached!
% 18.04/3.26 % (3244002)------------------------------
% 18.04/3.26 % (3244002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/3.26 % (3244002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/3.26 % (3244002)CaDiCaL version: 2.1.3
% 18.04/3.26 % (3244002)Termination reason: Instruction limit
% 18.04/3.26 % (3244002)Termination phase: Finite model building SAT solving
% 18.04/3.26 % (3244002)Time elapsed: 0.184 s
% 18.04/3.26 % (3244002)Peak memory usage: 22 MB
% 18.04/3.26 % (3244002)Instructions burned: 866 (million)
% 18.04/3.26 % (3244006)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=205999475:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 18.04/3.26 % TRYING [14]
% 18.04/3.26 % (3243995)Instruction limit reached!
% 18.04/3.26 % (3243995)------------------------------
% 18.04/3.26 % (3243995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/3.26 % (3243995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/3.26 % (3243995)CaDiCaL version: 2.1.3
% 18.04/3.26 % (3243995)Termination reason: Instruction limit
% 18.04/3.26 % (3243995)Termination phase: Saturation
% 18.04/3.26 % (3243995)Time elapsed: 0.373 s
% 18.04/3.26 % (3243995)Peak memory usage: 23 MB
% 18.04/3.26 % (3243995)Instructions burned: 685 (million)
% 18.04/3.26 % (3244008)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=2700836579:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 18.04/3.26 % (3244000)Instruction limit reached!
% 18.04/3.26 % (3244000)------------------------------
% 18.04/3.26 % (3244000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/3.26 % (3244000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/3.26 % (3244000)CaDiCaL version: 2.1.3
% 18.04/3.26 % (3244000)Termination reason: Instruction limit
% 18.04/3.26 % (3244000)Termination phase: Saturation
% 18.04/3.26 % (3244000)Time elapsed: 0.328 s
% 18.04/3.26 % (3244000)Peak memory usage: 14 MB
% 18.04/3.26 % (3244000)Instructions burned: 477 (million)
% 18.04/3.26 % (3244010)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2510945210:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 18.04/3.26 % (3244006)Instruction limit reached!
% 18.04/3.26 % (3244006)------------------------------
% 18.04/3.26 % (3244006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/3.26 % (3244006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/3.26 % (3244006)CaDiCaL version: 2.1.3
% 18.04/3.26 % (3244006)Termination reason: Instruction limit
% 18.04/3.26 % (3244006)Termination phase: Finite model building constraint generation
% 18.04/3.26 % (3244006)Time elapsed: 0.179 s
% 18.04/3.26 % (3244006)Peak memory usage: 70 MB
% 18.04/3.26 % (3244006)Instructions burned: 894 (million)
% 18.04/3.26 % (3244012)fmb+10_1_sil=64000:random_seed=3210346221:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 18.04/3.26 % TRYING [1]
% 18.04/3.26 % TRYING [2]
% 18.04/3.26 % TRYING [3]
% 18.04/3.26 % TRYING [7]
% 18.04/3.26 % TRYING [4]
% 18.04/3.26 % TRYING [5]
% 18.04/3.26 % (3244008)Instruction limit reached!
% 18.04/3.26 % (3244008)------------------------------
% 18.04/3.26 % (3244008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/3.26 % (3244008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/3.26 % (3244008)CaDiCaL version: 2.1.3
% 18.04/3.26 % (3244008)Termination reason: Instruction limit
% 18.04/3.26 % (3244008)Termination phase: Saturation
% 18.04/3.26 % (3244008)Time elapsed: 0.356 s
% 18.04/3.26 % (3244008)Peak memory usage: 24 MB
% 18.04/3.26 % (3244008)Instructions burned: 694 (million)
% 18.04/3.26 % (3244003)Instruction limit reached!
% 18.04/3.26 % (3244003)------------------------------
% 18.04/3.26 % (3244003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/3.26 % (3244003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/3.26 % (3244003)CaDiCaL version: 2.1.3
% 18.04/3.26 % (3244003)Termination reason: Instruction limit
% 18.04/3.26 % (3244003)Termination phase: Saturation
% 18.04/3.26 % (3244003)Time elapsed: 0.641 s
% 18.04/3.26 % (3244003)Peak memory usage: 26 MB
% 18.04/3.26 % (3244003)Instructions burned: 1180 (million)
% 18.04/3.26 % (3244014)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1776779847:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 18.04/3.26 % TRYING [6]
% 18.04/3.26 % TRYING [20]
% 18.04/3.26 % (3244015)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=309107386:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 18.04/3.26 % TRYING [8]
% 18.04/3.26 % (3244010)Instruction limit reached!
% 18.04/3.26 % (3244010)------------------------------
% 18.04/3.26 % (3244010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/3.26 % (3244010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/3.26 % (3244010)CaDiCaL version: 2.1.3
% 18.04/3.26 % (3244010)Termination reason: Instruction limit
% 18.04/3.26 % (3244010)Termination phase: Saturation
% 18.04/3.26 % (3244010)Time elapsed: 0.465 s
% 18.04/3.26 % (3244010)Peak memory usage: 20 MB
% 18.04/3.26 % (3244010)Instructions burned: 880 (million)
% 18.04/3.26 % (3244018)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4259344907:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 18.04/3.26 % (3244015)Instruction limit reached!
% 18.04/3.26 % (3244015)------------------------------
% 18.04/3.26 % (3244015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/3.26 % (3244015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/3.26 % (3244015)CaDiCaL version: 2.1.3
% 18.04/3.26 % (3244015)Termination reason: Instruction limit
% 18.04/3.26 % (3244015)Termination phase: Finite model building constraint generation
% 18.04/3.26 % (3244015)Time elapsed: 0.339 s
% 18.04/3.26 % (3244015)Peak memory usage: 70 MB
% 18.04/3.26 % (3244015)Instructions burned: 920 (million)
% 18.04/3.26 % (3244020)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2587868277:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 18.04/3.26 % TRYING [7]
% 18.04/3.26 % TRYING [8]
% 18.04/3.26 % (3244020)Instruction limit reached!
% 18.04/3.26 % (3244020)------------------------------
% 18.04/3.26 % (3244020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/3.26 % (3244020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/3.26 % (3244020)CaDiCaL version: 2.1.3
% 18.04/3.26 % (3244020)Termination reason: Instruction limit
% 18.04/3.26 % (3244020)Termination phase: Saturation
% 18.04/3.26 % (3244020)Time elapsed: 0.666 s
% 18.04/3.26 % (3244020)Peak memory usage: 23 MB
% 18.04/3.26 % (3244020)Instructions burned: 1473 (million)
% 18.04/3.26 % (3244022)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1711165885:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 18.04/3.26 % TRYING [77]
% 18.04/3.26 % TRYING [8]
% 18.04/3.26 % (3244018) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3243973-3244018"...
% 18.04/3.26 % (3244018)...printing done.
% 18.04/3.26 % (3244018)Refutation found. Thanks to Tanya!
% 18.04/3.26 % SZS status Theorem for theBenchmark
% 18.04/3.26 % SZS output start Proof for theBenchmark
% See solution above
% 18.04/3.26 % (3244018)------------------------------
% 18.04/3.26 % (3244018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/3.26 % (3244018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/3.26 % (3244018)CaDiCaL version: 2.1.3
% 18.04/3.26 % (3244018)Termination reason: Refutation
% 18.04/3.26 % (3244018)Time elapsed: 1.738 s
% 18.04/3.26 % (3244018)Peak memory usage: 38 MB
% 18.04/3.26 % (3244018)Instructions burned: 3264 (million)
% 18.04/3.26 % (3243973)Success in time 2.849 s
% 18.04/3.26 % Vampire exiting
%------------------------------------------------------------------------------