%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC170+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : 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 01:04:56 PM UTC 2026
% Result : Theorem 10.31s 3.72s
% Output : Refutation 10.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 40
% Syntax : Number of formulae : 335 ( 36 unt; 13 def)
% Number of atoms : 1239 ( 162 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1634 ( 730 ~; 761 |; 43 &)
% ( 33 <=>; 67 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 14 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 256 ( 0 sgn 228 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax1) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( ssItem(X1)
& cons(X1,nil) = X0 ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax36) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax39) ).
fof(f41,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( frontsegP(X0,X1)
& frontsegP(X1,X0) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax41) ).
fof(f43,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X0,X1)
=> frontsegP(app(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax43) ).
fof(f44,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( X0 = X1
& frontsegP(X2,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax44) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax45) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(f85,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> hd(app(X0,X1)) = hd(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax85) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ segmentP(X3,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) ) ) ) ) )
| ( ~ singletonP(X2)
& neq(X3,nil) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ segmentP(X3,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) ) ) ) ) )
| ( ~ singletonP(X2)
& neq(X3,nil) ) ) ) ) ) ),
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(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(f128,plain,
! [X0] :
( ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f134,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f148,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X0,X1)
| ~ frontsegP(X1,X0)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X0,X1)
| ~ frontsegP(X1,X0)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f151]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( X0 = X1
& frontsegP(X2,X3) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f157,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f176,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f192,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f193,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f192]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( hd(app(X0,X1)) = hd(X0)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f203,plain,
! [X0] :
( ! [X1] :
( hd(app(X0,X1)) = hd(X0)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f202]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& segmentP(X3,X2)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& ~ neq(X4,X5)
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( singletonP(X2)
| ~ 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
& segmentP(X3,X2)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& ~ neq(X4,X5)
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( singletonP(X2)
| ~ neq(X3,nil) )
& 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(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(f315,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f128]) ).
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(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(f337,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
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(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(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(f398,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| hd(X0) = hd(app(X0,X1)) ),
inference(cnf_transformation,[],[f203]) ).
fof(f411,plain,
ssList(sK54),
inference(cnf_transformation,[],[f222]) ).
fof(f412,plain,
~ neq(sK51,sK52),
inference(cnf_transformation,[],[f222]) ).
fof(f413,plain,
sK47 = app(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)),sK54),
inference(cnf_transformation,[],[f222]) ).
fof(f414,plain,
ssList(sK53),
inference(cnf_transformation,[],[f222]) ).
fof(f415,plain,
ssItem(sK52),
inference(cnf_transformation,[],[f222]) ).
fof(f416,plain,
ssItem(sK51),
inference(cnf_transformation,[],[f222]) ).
fof(f417,plain,
( ~ neq(sK50,nil)
| singletonP(sK49) ),
inference(cnf_transformation,[],[f222]) ).
fof(f418,plain,
ssList(sK50),
inference(cnf_transformation,[],[f222]) ).
fof(f419,plain,
segmentP(sK50,sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f420,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f422,plain,
ssList(sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f427,plain,
sK49 = app(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)),sK54),
inference(definition_unfolding,[],[f413,f420]) ).
fof(f429,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(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X1,X2),X1) ),
inference(equality_resolution,[],[f237]) ).
fof(f433,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(f444,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(f455,plain,
! [X2,X3,X1] :
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X2,X3)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f444]) ).
fof(f461,definition,
( spl55_1
<=> singletonP(sK49) ),
introduced(definition,[new_symbols(definition,[spl55_1])],[avatar_definition]) ).
fof(f463,plain,
( singletonP(sK49)
| ~ spl55_1 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f465,definition,
( spl55_2
<=> neq(sK50,nil) ),
introduced(definition,[new_symbols(definition,[spl55_2])],[avatar_definition]) ).
fof(f467,plain,
( ~ neq(sK50,nil)
| spl55_2 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f468,plain,
( spl55_1
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f417,f465,f461]) ).
fof(f597,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK51,X0) != X0 ),
inference(resolution,[],[f307,f416]) ).
fof(f601,plain,
nil != cons(sK51,nil),
inference(resolution,[],[f597,f306]) ).
fof(f625,plain,
sK49 != cons(sK51,sK49),
inference(resolution,[],[f597,f422]) ).
fof(f629,plain,
( ~ ssItem(sK52)
| sK51 = sK52
| ~ ssItem(sK51) ),
inference(resolution,[],[f223,f412]) ).
fof(f635,plain,
( sK51 = sK52
| ~ ssItem(sK51) ),
inference(forward_subsumption_resolution,[],[f629,f415]) ).
fof(f636,plain,
sK51 = sK52,
inference(forward_subsumption_resolution,[],[f635,f416]) ).
fof(f644,plain,
( ~ ssList(nil)
| nil = sK50
| ~ ssList(sK50)
| spl55_2 ),
inference(resolution,[],[f303,f467]) ).
fof(f650,plain,
( nil = sK50
| ~ ssList(sK50)
| spl55_2 ),
inference(forward_subsumption_resolution,[],[f644,f306]) ).
fof(f651,plain,
( nil = sK50
| spl55_2 ),
inference(forward_subsumption_resolution,[],[f650,f418]) ).
fof(f655,plain,
( segmentP(nil,sK49)
| spl55_2 ),
inference(superposition,[],[f419,f651]) ).
fof(f659,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| nil = X0
| hd(cons(X1,tl(X0))) = X1 ),
inference(resolution,[],[f315,f316]) ).
fof(f711,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| nil = X0
| tl(X0) = tl(cons(X1,tl(X0))) ),
inference(resolution,[],[f317,f316]) ).
fof(f754,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(sK51,X0)) = X0 ),
inference(resolution,[],[f317,f416]) ).
fof(f757,plain,
( nil = sK49
| ~ ssList(sK49)
| spl55_2 ),
inference(resolution,[],[f655,f361]) ).
fof(f758,plain,
( nil = sK49
| spl55_2 ),
inference(forward_subsumption_resolution,[],[f757,f422]) ).
fof(f938,plain,
nil = tl(cons(sK51,nil)),
inference(resolution,[],[f754,f306]) ).
fof(f1044,plain,
( nil = sK49
| sK49 = cons(hd(sK49),tl(sK49)) ),
inference(resolution,[],[f389,f422]) ).
fof(f1046,plain,
( nil = sK53
| sK53 = cons(hd(sK53),tl(sK53)) ),
inference(resolution,[],[f389,f414]) ).
fof(f1095,definition,
( spl55_4
<=> nil = sK53 ),
introduced(definition,[new_symbols(definition,[spl55_4])],[avatar_definition]) ).
fof(f1096,plain,
( nil != sK53
| spl55_4 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f1097,plain,
( nil = sK53
| ~ spl55_4 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f1185,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK51,X0) = app(cons(sK51,nil),X0) ),
inference(resolution,[],[f392,f416]) ).
fof(f1231,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f431,f318]) ).
fof(f1245,plain,
( frontsegP(sK49,app(app(sK53,cons(sK51,nil)),cons(sK52,nil)))
| ~ ssList(sK54)
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil))) ),
inference(superposition,[],[f1231,f427]) ).
fof(f1258,plain,
( frontsegP(sK49,app(app(sK53,cons(sK51,nil)),cons(sK52,nil)))
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil))) ),
inference(forward_subsumption_resolution,[],[f1245,f411]) ).
fof(f1261,plain,
( frontsegP(sK49,app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil))) ),
inference(forward_demodulation,[],[f1258,f636]) ).
fof(f1337,plain,
cons(sK51,sK49) = app(cons(sK51,nil),sK49),
inference(resolution,[],[f1185,f422]) ).
fof(f1368,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,f427]) ).
fof(f1379,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,[],[f1368,f411]) ).
fof(f1390,plain,
! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ ssList(sK54)
| ~ frontsegP(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)),X0)
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil))) ),
inference(superposition,[],[f341,f427]) ).
fof(f1408,plain,
! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ frontsegP(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)),X0)
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil))) ),
inference(forward_subsumption_resolution,[],[f1390,f411]) ).
fof(f1534,plain,
! [X0] :
( ~ ssList(X0)
| nil = sK53
| hd(sK53) = hd(app(sK53,X0)) ),
inference(resolution,[],[f398,f414]) ).
fof(f2287,plain,
( segmentP(sK49,cons(sK52,nil))
| ~ ssList(cons(sK52,nil))
| ~ ssList(sK54)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(sK49) ),
inference(superposition,[],[f433,f427]) ).
fof(f2292,plain,
( segmentP(sK49,cons(sK52,nil))
| ~ ssList(cons(sK52,nil))
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(sK49) ),
inference(forward_subsumption_resolution,[],[f2287,f411]) ).
fof(f2298,plain,
( segmentP(sK49,cons(sK52,nil))
| ~ ssList(cons(sK52,nil))
| ~ ssList(app(sK53,cons(sK51,nil))) ),
inference(forward_subsumption_resolution,[],[f2292,f422]) ).
fof(f2304,plain,
( segmentP(sK49,cons(sK51,nil))
| ~ ssList(cons(sK52,nil))
| ~ ssList(app(sK53,cons(sK51,nil))) ),
inference(forward_demodulation,[],[f2298,f636]) ).
fof(f2309,plain,
( segmentP(nil,cons(sK51,nil))
| ~ ssList(cons(sK52,nil))
| ~ ssList(app(sK53,cons(sK51,nil)))
| spl55_2 ),
inference(forward_demodulation,[],[f2304,f758]) ).
fof(f2314,plain,
( ~ ssList(cons(sK51,nil))
| segmentP(nil,cons(sK51,nil))
| ~ ssList(app(sK53,cons(sK51,nil)))
| spl55_2 ),
inference(forward_demodulation,[],[f2309,f636]) ).
fof(f2488,definition,
( spl55_12
<=> ssList(cons(sK51,nil)) ),
introduced(definition,[new_symbols(definition,[spl55_12])],[avatar_definition]) ).
fof(f2489,plain,
( ssList(cons(sK51,nil))
| ~ spl55_12 ),
inference(avatar_component_clause,[],[f2488]) ).
fof(f2490,plain,
( ~ ssList(cons(sK51,nil))
| spl55_12 ),
inference(avatar_component_clause,[],[f2488]) ).
fof(f2495,plain,
( ~ ssItem(sK51)
| ~ ssList(nil)
| spl55_12 ),
inference(resolution,[],[f2490,f305]) ).
fof(f2496,plain,
( ~ ssList(nil)
| spl55_12 ),
inference(forward_subsumption_resolution,[],[f2495,f416]) ).
fof(f2497,plain,
( $false
| spl55_12 ),
inference(forward_subsumption_resolution,[],[f2496,f306]) ).
fof(f2498,plain,
spl55_12,
inference(avatar_contradiction_clause,[],[f2497]) ).
fof(f2526,plain,
( cons(sK51,nil) = app(nil,cons(sK51,nil))
| ~ spl55_12 ),
inference(resolution,[],[f2489,f320]) ).
fof(f2793,definition,
( spl55_13
<=> ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil))) ),
introduced(definition,[new_symbols(definition,[spl55_13])],[avatar_definition]) ).
fof(f2794,plain,
( ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl55_13 ),
inference(avatar_component_clause,[],[f2793]) ).
fof(f2795,plain,
( ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| spl55_13 ),
inference(avatar_component_clause,[],[f2793]) ).
fof(f2848,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(app(sK53,cons(sK51,nil)))
| spl55_13 ),
inference(resolution,[],[f2795,f318]) ).
fof(f2849,plain,
( ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl55_12
| spl55_13 ),
inference(forward_subsumption_resolution,[],[f2848,f2489]) ).
fof(f3275,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(sK53)
| ~ spl55_12
| spl55_13 ),
inference(resolution,[],[f2849,f318]) ).
fof(f3276,plain,
( ~ ssList(sK53)
| ~ spl55_12
| spl55_13 ),
inference(forward_subsumption_resolution,[],[f3275,f2489]) ).
fof(f3277,plain,
( $false
| ~ spl55_12
| spl55_13 ),
inference(forward_subsumption_resolution,[],[f3276,f414]) ).
fof(f3278,plain,
( ~ spl55_12
| spl55_13 ),
inference(avatar_contradiction_clause,[],[f3277]) ).
fof(f4183,plain,
( segmentP(nil,cons(sK51,nil))
| ~ ssList(app(sK53,cons(sK51,nil)))
| spl55_2
| ~ spl55_12 ),
inference(forward_subsumption_resolution,[],[f2314,f2489]) ).
fof(f4186,definition,
( spl55_14
<=> ssList(app(sK53,cons(sK51,nil))) ),
introduced(definition,[new_symbols(definition,[spl55_14])],[avatar_definition]) ).
fof(f4187,plain,
( ssList(app(sK53,cons(sK51,nil)))
| ~ spl55_14 ),
inference(avatar_component_clause,[],[f4186]) ).
fof(f4188,plain,
( ~ ssList(app(sK53,cons(sK51,nil)))
| spl55_14 ),
inference(avatar_component_clause,[],[f4186]) ).
fof(f4190,definition,
( spl55_15
<=> segmentP(nil,cons(sK51,nil)) ),
introduced(definition,[new_symbols(definition,[spl55_15])],[avatar_definition]) ).
fof(f4192,plain,
( segmentP(nil,cons(sK51,nil))
| ~ spl55_15 ),
inference(avatar_component_clause,[],[f4190]) ).
fof(f4193,plain,
( ~ spl55_14
| spl55_15
| spl55_2
| ~ spl55_12 ),
inference(avatar_split_clause,[],[f4183,f2488,f465,f4190,f4186]) ).
fof(f4194,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(sK53)
| spl55_14 ),
inference(resolution,[],[f4188,f318]) ).
fof(f4195,plain,
( ~ ssList(sK53)
| ~ spl55_12
| spl55_14 ),
inference(forward_subsumption_resolution,[],[f4194,f2489]) ).
fof(f4196,plain,
( $false
| ~ spl55_12
| spl55_14 ),
inference(forward_subsumption_resolution,[],[f4195,f414]) ).
fof(f4197,plain,
( ~ spl55_12
| spl55_14 ),
inference(avatar_contradiction_clause,[],[f4196]) ).
fof(f4198,plain,
( nil = cons(sK51,nil)
| ~ ssList(cons(sK51,nil))
| ~ spl55_15 ),
inference(resolution,[],[f4192,f361]) ).
fof(f4201,plain,
( ~ ssList(cons(sK51,nil))
| ~ spl55_15 ),
inference(forward_subsumption_resolution,[],[f4198,f601]) ).
fof(f4203,plain,
( $false
| ~ spl55_12
| ~ spl55_15 ),
inference(forward_subsumption_resolution,[],[f4201,f2489]) ).
fof(f4204,plain,
( ~ spl55_12
| ~ spl55_15 ),
inference(avatar_contradiction_clause,[],[f4203]) ).
fof(f4207,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,[],[f1379,f636]) ).
fof(f4208,plain,
! [X0] :
( ~ frontsegP(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)),X0)
| frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK52,nil))) ),
inference(forward_demodulation,[],[f1408,f636]) ).
fof(f4214,plain,
( ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| frontsegP(sK49,app(app(sK53,cons(sK51,nil)),cons(sK51,nil))) ),
inference(forward_demodulation,[],[f1261,f636]) ).
fof(f4225,plain,
( ! [X0] :
( memberP(sK49,X0)
| ~ memberP(app(app(sK53,cons(sK51,nil)),cons(sK52,nil)),X0)
| ~ ssItem(X0) )
| ~ spl55_13 ),
inference(forward_subsumption_resolution,[],[f4207,f2794]) ).
fof(f4226,plain,
! [X0] :
( ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| ~ frontsegP(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)),X0)
| frontsegP(sK49,X0)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f4208,f636]) ).
fof(f4232,plain,
( frontsegP(sK49,app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl55_13 ),
inference(forward_subsumption_resolution,[],[f4214,f2794]) ).
fof(f4240,plain,
( ! [X0] :
( ~ memberP(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)),X0)
| memberP(sK49,X0)
| ~ ssItem(X0) )
| ~ spl55_13 ),
inference(forward_demodulation,[],[f4225,f636]) ).
fof(f4241,plain,
( ! [X0] :
( ~ frontsegP(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)),X0)
| frontsegP(sK49,X0)
| ~ ssList(X0) )
| ~ spl55_13 ),
inference(forward_subsumption_resolution,[],[f4226,f2794]) ).
fof(f4256,plain,
( sK49 = cons(sK4(sK49),nil)
| ~ ssList(sK49)
| ~ spl55_1 ),
inference(resolution,[],[f463,f232]) ).
fof(f4257,plain,
( sK49 = cons(sK4(sK49),nil)
| ~ spl55_1 ),
inference(forward_subsumption_resolution,[],[f4256,f422]) ).
fof(f4334,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssItem(sK4(sK49))
| ~ ssList(nil)
| memberP(nil,X0)
| sK4(sK49) = X0
| ~ ssItem(X0) )
| ~ spl55_1 ),
inference(superposition,[],[f333,f4257]) ).
fof(f4377,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssItem(sK4(sK49))
| memberP(nil,X0)
| sK4(sK49) = X0
| ~ ssItem(X0) )
| ~ spl55_1 ),
inference(forward_subsumption_resolution,[],[f4334,f306]) ).
fof(f4384,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssItem(sK4(sK49))
| sK4(sK49) = X0
| ~ ssItem(X0) )
| ~ spl55_1 ),
inference(forward_subsumption_resolution,[],[f4377,f336]) ).
fof(f4386,definition,
( spl55_18
<=> ssItem(sK4(sK49)) ),
introduced(definition,[new_symbols(definition,[spl55_18])],[avatar_definition]) ).
fof(f4387,plain,
( ssItem(sK4(sK49))
| ~ spl55_18 ),
inference(avatar_component_clause,[],[f4386]) ).
fof(f4388,plain,
( ~ ssItem(sK4(sK49))
| spl55_18 ),
inference(avatar_component_clause,[],[f4386]) ).
fof(f4399,definition,
( spl55_21
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl55_21])],[avatar_definition]) ).
fof(f4400,plain,
( nil != sK49
| spl55_21 ),
inference(avatar_component_clause,[],[f4399]) ).
fof(f4401,plain,
( nil = sK49
| ~ spl55_21 ),
inference(avatar_component_clause,[],[f4399]) ).
fof(f4403,plain,
( ~ ssList(sK49)
| ~ singletonP(sK49)
| spl55_18 ),
inference(resolution,[],[f4388,f233]) ).
fof(f4404,plain,
( ~ singletonP(sK49)
| spl55_18 ),
inference(forward_subsumption_resolution,[],[f4403,f422]) ).
fof(f4405,plain,
( $false
| ~ spl55_1
| spl55_18 ),
inference(forward_subsumption_resolution,[],[f4404,f463]) ).
fof(f4406,plain,
( ~ spl55_1
| spl55_18 ),
inference(avatar_contradiction_clause,[],[f4405]) ).
fof(f4432,plain,
( singletonP(nil)
| ~ spl55_1
| ~ spl55_21 ),
inference(superposition,[],[f463,f4401]) ).
fof(f4443,plain,
( $false
| ~ spl55_1
| ~ spl55_21 ),
inference(forward_subsumption_resolution,[],[f4432,f337]) ).
fof(f4444,plain,
( ~ spl55_1
| ~ spl55_21 ),
inference(avatar_contradiction_clause,[],[f4443]) ).
fof(f4554,plain,
( sK49 = cons(hd(sK49),tl(sK49))
| spl55_21 ),
inference(forward_subsumption_resolution,[],[f1044,f4400]) ).
fof(f6126,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_13 ),
inference(resolution,[],[f4240,f429]) ).
fof(f6127,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_13 ),
inference(duplicate_literal_removal,[],[f6126]) ).
fof(f6130,plain,
( memberP(sK49,sK51)
| ~ ssList(nil)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl55_13 ),
inference(forward_subsumption_resolution,[],[f6127,f416]) ).
fof(f6133,plain,
( memberP(sK49,sK51)
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl55_13 ),
inference(forward_subsumption_resolution,[],[f6130,f306]) ).
fof(f6136,plain,
( memberP(sK49,sK51)
| ~ ssList(app(app(sK53,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl55_13
| ~ spl55_14 ),
inference(forward_subsumption_resolution,[],[f6133,f4187]) ).
fof(f6137,plain,
( memberP(sK49,sK51)
| ~ spl55_13
| ~ spl55_14 ),
inference(forward_subsumption_resolution,[],[f6136,f2794]) ).
fof(f6141,plain,
( frontsegP(sK49,app(sK53,cons(sK51,nil)))
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(cons(sK51,nil))
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ spl55_13 ),
inference(resolution,[],[f4241,f1231]) ).
fof(f6142,plain,
( ! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(cons(sK51,nil))
| ~ frontsegP(app(sK53,cons(sK51,nil)),X0)
| ~ ssList(app(sK53,cons(sK51,nil))) )
| ~ spl55_13 ),
inference(resolution,[],[f4241,f341]) ).
fof(f6148,plain,
( ! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ ssList(cons(sK51,nil))
| ~ frontsegP(app(sK53,cons(sK51,nil)),X0)
| ~ ssList(app(sK53,cons(sK51,nil))) )
| ~ spl55_13 ),
inference(duplicate_literal_removal,[],[f6142]) ).
fof(f6149,plain,
( frontsegP(sK49,app(sK53,cons(sK51,nil)))
| ~ ssList(app(sK53,cons(sK51,nil)))
| ~ ssList(cons(sK51,nil))
| ~ spl55_13 ),
inference(duplicate_literal_removal,[],[f6141]) ).
fof(f6152,plain,
( ! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ frontsegP(app(sK53,cons(sK51,nil)),X0)
| ~ ssList(app(sK53,cons(sK51,nil))) )
| ~ spl55_12
| ~ spl55_13 ),
inference(forward_subsumption_resolution,[],[f6148,f2489]) ).
fof(f6153,plain,
( frontsegP(sK49,app(sK53,cons(sK51,nil)))
| ~ ssList(cons(sK51,nil))
| ~ spl55_13
| ~ spl55_14 ),
inference(forward_subsumption_resolution,[],[f6149,f4187]) ).
fof(f6155,plain,
( ! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ frontsegP(app(sK53,cons(sK51,nil)),X0) )
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14 ),
inference(forward_subsumption_resolution,[],[f6152,f4187]) ).
fof(f6156,plain,
( frontsegP(sK49,app(sK53,cons(sK51,nil)))
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14 ),
inference(forward_subsumption_resolution,[],[f6153,f2489]) ).
fof(f10512,plain,
( ! [X0] :
( ~ ssItem(X0)
| nil = cons(sK51,nil)
| hd(cons(X0,tl(cons(sK51,nil)))) = X0 )
| ~ spl55_12 ),
inference(resolution,[],[f659,f2489]) ).
fof(f10584,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,tl(cons(sK51,nil)))) = X0 )
| ~ spl55_12 ),
inference(forward_subsumption_resolution,[],[f10512,f601]) ).
fof(f10593,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,nil)) = X0 )
| ~ spl55_12 ),
inference(forward_demodulation,[],[f10584,f938]) ).
fof(f11036,plain,
( sK4(sK49) = hd(cons(sK4(sK49),nil))
| ~ spl55_12
| ~ spl55_18 ),
inference(resolution,[],[f10593,f4387]) ).
fof(f11056,plain,
( hd(sK49) = sK4(sK49)
| ~ spl55_1
| ~ spl55_12
| ~ spl55_18 ),
inference(forward_demodulation,[],[f11036,f4257]) ).
fof(f12456,plain,
( ! [X0] :
( ~ ssItem(X0)
| nil = cons(sK51,nil)
| tl(cons(sK51,nil)) = tl(cons(X0,tl(cons(sK51,nil)))) )
| ~ spl55_12 ),
inference(resolution,[],[f711,f2489]) ).
fof(f12532,plain,
( ! [X0] :
( ~ ssItem(X0)
| tl(cons(sK51,nil)) = tl(cons(X0,tl(cons(sK51,nil)))) )
| ~ spl55_12 ),
inference(forward_subsumption_resolution,[],[f12456,f601]) ).
fof(f12542,plain,
( ! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) )
| ~ spl55_12 ),
inference(forward_demodulation,[],[f12532,f938]) ).
fof(f12555,plain,
( nil = tl(cons(sK4(sK49),nil))
| ~ spl55_12
| ~ spl55_18 ),
inference(resolution,[],[f12542,f4387]) ).
fof(f12575,plain,
( nil = tl(sK49)
| ~ spl55_1
| ~ spl55_12
| ~ spl55_18 ),
inference(forward_demodulation,[],[f12555,f4257]) ).
fof(f13339,plain,
( ssList(cons(sK51,sK49))
| ~ ssList(sK49)
| ~ ssList(cons(sK51,nil)) ),
inference(superposition,[],[f318,f1337]) ).
fof(f13354,plain,
( frontsegP(cons(sK51,sK49),cons(sK51,nil))
| ~ ssList(sK49)
| ~ ssList(cons(sK51,nil)) ),
inference(superposition,[],[f1231,f1337]) ).
fof(f13361,plain,
( frontsegP(cons(sK51,sK49),cons(sK51,nil))
| ~ ssList(cons(sK51,nil)) ),
inference(forward_subsumption_resolution,[],[f13354,f422]) ).
fof(f13376,plain,
( ssList(cons(sK51,sK49))
| ~ ssList(cons(sK51,nil)) ),
inference(forward_subsumption_resolution,[],[f13339,f422]) ).
fof(f13380,plain,
( frontsegP(cons(sK51,sK49),cons(sK51,nil))
| ~ spl55_12 ),
inference(forward_subsumption_resolution,[],[f13361,f2489]) ).
fof(f13395,plain,
( ssList(cons(sK51,sK49))
| ~ spl55_12 ),
inference(forward_subsumption_resolution,[],[f13376,f2489]) ).
fof(f57854,definition,
( spl55_74
<=> sK49 = sK53 ),
introduced(definition,[new_symbols(definition,[spl55_74])],[avatar_definition]) ).
fof(f57855,plain,
( sK49 = sK53
| ~ spl55_74 ),
inference(avatar_component_clause,[],[f57854]) ).
fof(f57856,plain,
( sK49 != sK53
| spl55_74 ),
inference(avatar_component_clause,[],[f57854]) ).
fof(f59558,definition,
( spl55_84
<=> ssList(tl(sK53)) ),
introduced(definition,[new_symbols(definition,[spl55_84])],[avatar_definition]) ).
fof(f59559,plain,
( ssList(tl(sK53))
| ~ spl55_84 ),
inference(avatar_component_clause,[],[f59558]) ).
fof(f59560,plain,
( ~ ssList(tl(sK53))
| spl55_84 ),
inference(avatar_component_clause,[],[f59558]) ).
fof(f59954,plain,
( frontsegP(sK49,app(app(nil,cons(sK51,nil)),cons(sK51,nil)))
| ~ spl55_4
| ~ spl55_13 ),
inference(superposition,[],[f4232,f1097]) ).
fof(f60043,plain,
( frontsegP(sK49,app(cons(sK51,nil),cons(sK51,nil)))
| ~ spl55_4
| ~ spl55_12
| ~ spl55_13 ),
inference(forward_demodulation,[],[f59954,f2526]) ).
fof(f64952,plain,
( nil = sK53
| ~ ssList(sK53)
| spl55_84 ),
inference(resolution,[],[f59560,f316]) ).
fof(f64953,plain,
( ~ ssList(sK53)
| spl55_4
| spl55_84 ),
inference(forward_subsumption_resolution,[],[f64952,f1096]) ).
fof(f64954,plain,
( $false
| spl55_4
| spl55_84 ),
inference(forward_subsumption_resolution,[],[f64953,f414]) ).
fof(f64955,plain,
( spl55_4
| spl55_84 ),
inference(avatar_contradiction_clause,[],[f64954]) ).
fof(f64956,plain,
( sK53 = cons(hd(sK53),tl(sK53))
| spl55_4 ),
inference(forward_subsumption_resolution,[],[f1046,f1096]) ).
fof(f65469,plain,
( ! [X0] :
( ~ ssList(X0)
| hd(sK53) = hd(app(sK53,X0)) )
| spl55_4 ),
inference(forward_subsumption_resolution,[],[f1534,f1096]) ).
fof(f67472,definition,
( spl55_107
<=> sK49 = cons(sK51,nil) ),
introduced(definition,[new_symbols(definition,[spl55_107])],[avatar_definition]) ).
fof(f67474,plain,
( sK49 = cons(sK51,nil)
| ~ spl55_107 ),
inference(avatar_component_clause,[],[f67472]) ).
fof(f75283,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| sK4(sK49) = X0
| ~ ssItem(X0) )
| ~ spl55_1
| ~ spl55_18 ),
inference(forward_subsumption_resolution,[],[f4384,f4387]) ).
fof(f75284,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| hd(sK49) = X0
| ~ ssItem(X0) )
| ~ spl55_1
| ~ spl55_12
| ~ spl55_18 ),
inference(forward_demodulation,[],[f75283,f11056]) ).
fof(f75289,plain,
( sK51 = hd(sK49)
| ~ ssItem(sK51)
| ~ spl55_1
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_18 ),
inference(resolution,[],[f75284,f6137]) ).
fof(f75291,plain,
( sK51 = hd(sK49)
| ~ spl55_1
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_18 ),
inference(forward_subsumption_resolution,[],[f75289,f416]) ).
fof(f75293,plain,
( sK49 = cons(sK51,tl(sK49))
| ~ spl55_1
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_18
| spl55_21 ),
inference(superposition,[],[f4554,f75291]) ).
fof(f75318,plain,
( sK49 = cons(sK51,nil)
| ~ spl55_1
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_18
| spl55_21 ),
inference(forward_demodulation,[],[f75293,f12575]) ).
fof(f75322,plain,
( spl55_107
| ~ spl55_1
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_18
| spl55_21 ),
inference(avatar_split_clause,[],[f75318,f4399,f4386,f4186,f2793,f2488,f461,f67472]) ).
fof(f75328,plain,
( cons(sK51,sK49) = app(sK49,sK49)
| ~ spl55_107 ),
inference(superposition,[],[f1337,f67474]) ).
fof(f75371,plain,
( frontsegP(cons(sK51,sK49),sK49)
| ~ spl55_12
| ~ spl55_107 ),
inference(superposition,[],[f13380,f67474]) ).
fof(f75416,plain,
( ! [X0] :
( frontsegP(cons(sK51,X0),sK49)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ frontsegP(X0,nil)
| ~ ssItem(sK51) )
| ~ spl55_107 ),
inference(superposition,[],[f455,f67474]) ).
fof(f75465,plain,
( ! [X0] :
( frontsegP(cons(sK51,X0),sK49)
| ~ ssList(X0)
| ~ frontsegP(X0,nil)
| ~ ssItem(sK51) )
| ~ spl55_107 ),
inference(forward_subsumption_resolution,[],[f75416,f306]) ).
fof(f75518,plain,
( ! [X0] :
( frontsegP(cons(sK51,X0),sK49)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) )
| ~ spl55_107 ),
inference(forward_subsumption_resolution,[],[f75465,f416]) ).
fof(f75545,plain,
( ! [X0] :
( frontsegP(cons(sK51,X0),sK49)
| ~ ssList(X0) )
| ~ spl55_107 ),
inference(forward_subsumption_resolution,[],[f75518,f345]) ).
fof(f76940,plain,
( ~ frontsegP(sK49,cons(sK51,sK49))
| ~ ssList(cons(sK51,sK49))
| ~ ssList(sK49)
| sK49 = cons(sK51,sK49)
| ~ spl55_12
| ~ spl55_107 ),
inference(resolution,[],[f75371,f339]) ).
fof(f76993,plain,
( ~ frontsegP(sK49,cons(sK51,sK49))
| ~ ssList(sK49)
| sK49 = cons(sK51,sK49)
| ~ spl55_12
| ~ spl55_107 ),
inference(forward_subsumption_resolution,[],[f76940,f13395]) ).
fof(f77022,plain,
( ~ frontsegP(sK49,cons(sK51,sK49))
| sK49 = cons(sK51,sK49)
| ~ spl55_12
| ~ spl55_107 ),
inference(forward_subsumption_resolution,[],[f76993,f422]) ).
fof(f77027,plain,
( ~ frontsegP(sK49,cons(sK51,sK49))
| ~ spl55_12
| ~ spl55_107 ),
inference(forward_subsumption_resolution,[],[f77022,f625]) ).
fof(f79139,plain,
( ! [X0] :
( ~ frontsegP(app(sK53,sK49),X0)
| frontsegP(sK49,X0)
| ~ ssList(X0) )
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_107 ),
inference(forward_demodulation,[],[f6155,f67474]) ).
fof(f79147,plain,
( frontsegP(sK49,sK53)
| ~ ssList(sK53)
| ~ ssList(sK49)
| ~ ssList(sK53)
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_107 ),
inference(resolution,[],[f79139,f1231]) ).
fof(f79157,plain,
( frontsegP(sK49,sK53)
| ~ ssList(sK53)
| ~ ssList(sK49)
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_107 ),
inference(duplicate_literal_removal,[],[f79147]) ).
fof(f79161,plain,
( frontsegP(sK49,sK53)
| ~ ssList(sK49)
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_107 ),
inference(forward_subsumption_resolution,[],[f79157,f414]) ).
fof(f79163,plain,
( frontsegP(sK49,sK53)
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_107 ),
inference(forward_subsumption_resolution,[],[f79161,f422]) ).
fof(f79165,plain,
( ~ ssList(sK53)
| sK49 = app(sK53,sK5(sK49,sK53))
| ~ ssList(sK49)
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_107 ),
inference(resolution,[],[f79163,f235]) ).
fof(f79209,plain,
( sK49 = app(sK53,sK5(sK49,sK53))
| ~ ssList(sK49)
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_107 ),
inference(forward_subsumption_resolution,[],[f79165,f414]) ).
fof(f79231,plain,
( sK49 = app(sK53,sK5(sK49,sK53))
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_107 ),
inference(forward_subsumption_resolution,[],[f79209,f422]) ).
fof(f79288,definition,
( spl55_112
<=> ssList(sK5(sK49,sK53)) ),
introduced(definition,[new_symbols(definition,[spl55_112])],[avatar_definition]) ).
fof(f79289,plain,
( ssList(sK5(sK49,sK53))
| ~ spl55_112 ),
inference(avatar_component_clause,[],[f79288]) ).
fof(f79290,plain,
( ~ ssList(sK5(sK49,sK53))
| spl55_112 ),
inference(avatar_component_clause,[],[f79288]) ).
fof(f79296,plain,
( ~ ssList(sK53)
| ~ ssList(sK49)
| ~ frontsegP(sK49,sK53)
| spl55_112 ),
inference(resolution,[],[f79290,f236]) ).
fof(f79297,plain,
( ~ ssList(sK49)
| ~ frontsegP(sK49,sK53)
| spl55_112 ),
inference(forward_subsumption_resolution,[],[f79296,f414]) ).
fof(f79298,plain,
( ~ frontsegP(sK49,sK53)
| spl55_112 ),
inference(forward_subsumption_resolution,[],[f79297,f422]) ).
fof(f79299,plain,
( $false
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_107
| spl55_112 ),
inference(forward_subsumption_resolution,[],[f79298,f79163]) ).
fof(f79300,plain,
( ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_107
| spl55_112 ),
inference(avatar_contradiction_clause,[],[f79299]) ).
fof(f80012,plain,
( hd(sK53) = hd(app(sK53,sK5(sK49,sK53)))
| spl55_4
| ~ spl55_112 ),
inference(resolution,[],[f79289,f65469]) ).
fof(f80021,plain,
( hd(sK49) = hd(sK53)
| spl55_4
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_107
| ~ spl55_112 ),
inference(forward_demodulation,[],[f80012,f79231]) ).
fof(f80050,plain,
( sK51 = hd(sK53)
| ~ spl55_1
| spl55_4
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_18
| ~ spl55_107
| ~ spl55_112 ),
inference(forward_demodulation,[],[f80021,f75291]) ).
fof(f80060,plain,
( sK53 = cons(sK51,tl(sK53))
| ~ spl55_1
| spl55_4
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_18
| ~ spl55_107
| ~ spl55_112 ),
inference(superposition,[],[f64956,f80050]) ).
fof(f80201,plain,
( frontsegP(sK53,sK49)
| ~ ssList(tl(sK53))
| ~ spl55_1
| spl55_4
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_18
| ~ spl55_107
| ~ spl55_112 ),
inference(superposition,[],[f75545,f80060]) ).
fof(f80305,plain,
( frontsegP(sK53,sK49)
| ~ spl55_1
| spl55_4
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_18
| ~ spl55_84
| ~ spl55_107
| ~ spl55_112 ),
inference(forward_subsumption_resolution,[],[f80201,f59559]) ).
fof(f80357,plain,
( ~ frontsegP(sK49,sK53)
| ~ ssList(sK49)
| ~ ssList(sK53)
| sK49 = sK53
| ~ spl55_1
| spl55_4
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_18
| ~ spl55_84
| ~ spl55_107
| ~ spl55_112 ),
inference(resolution,[],[f80305,f339]) ).
fof(f80411,plain,
( ~ ssList(sK49)
| ~ ssList(sK53)
| sK49 = sK53
| ~ spl55_1
| spl55_4
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_18
| ~ spl55_84
| ~ spl55_107
| ~ spl55_112 ),
inference(forward_subsumption_resolution,[],[f80357,f79163]) ).
fof(f80439,plain,
( ~ ssList(sK53)
| sK49 = sK53
| ~ spl55_1
| spl55_4
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_18
| ~ spl55_84
| ~ spl55_107
| ~ spl55_112 ),
inference(forward_subsumption_resolution,[],[f80411,f422]) ).
fof(f80443,plain,
( sK49 = sK53
| ~ spl55_1
| spl55_4
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_18
| ~ spl55_84
| ~ spl55_107
| ~ spl55_112 ),
inference(forward_subsumption_resolution,[],[f80439,f414]) ).
fof(f80446,plain,
( $false
| ~ spl55_1
| spl55_4
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_18
| spl55_74
| ~ spl55_84
| ~ spl55_107
| ~ spl55_112 ),
inference(forward_subsumption_resolution,[],[f80443,f57856]) ).
fof(f80447,plain,
( ~ spl55_1
| spl55_4
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_18
| spl55_74
| ~ spl55_84
| ~ spl55_107
| ~ spl55_112 ),
inference(avatar_contradiction_clause,[],[f80446]) ).
fof(f80492,plain,
( frontsegP(sK49,app(sK49,cons(sK51,nil)))
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_74 ),
inference(superposition,[],[f6156,f57855]) ).
fof(f80716,plain,
( frontsegP(sK49,app(sK49,sK49))
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_74
| ~ spl55_107 ),
inference(forward_demodulation,[],[f80492,f67474]) ).
fof(f80737,plain,
( frontsegP(sK49,cons(sK51,sK49))
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_74
| ~ spl55_107 ),
inference(forward_demodulation,[],[f80716,f75328]) ).
fof(f80749,plain,
( $false
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_74
| ~ spl55_107 ),
inference(forward_subsumption_resolution,[],[f80737,f77027]) ).
fof(f80750,plain,
( ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_74
| ~ spl55_107 ),
inference(avatar_contradiction_clause,[],[f80749]) ).
fof(f80756,plain,
( frontsegP(sK49,app(sK49,sK49))
| ~ spl55_4
| ~ spl55_12
| ~ spl55_13
| ~ spl55_107 ),
inference(forward_demodulation,[],[f60043,f67474]) ).
fof(f80805,plain,
( frontsegP(sK49,cons(sK51,sK49))
| ~ spl55_4
| ~ spl55_12
| ~ spl55_13
| ~ spl55_107 ),
inference(forward_demodulation,[],[f80756,f75328]) ).
fof(f80815,plain,
( $false
| ~ spl55_4
| ~ spl55_12
| ~ spl55_13
| ~ spl55_107 ),
inference(forward_subsumption_resolution,[],[f80805,f77027]) ).
fof(f80816,plain,
( ~ spl55_4
| ~ spl55_12
| ~ spl55_13
| ~ spl55_107 ),
inference(avatar_contradiction_clause,[],[f80815]) ).
cnf(s1,plain,
( spl55_1
| ~ spl55_2 ),
inference(sat_conversion,[],[f468]) ).
cnf(s9,plain,
spl55_12,
inference(sat_conversion,[],[f2498]) ).
cnf(s11,plain,
( ~ spl55_12
| spl55_13 ),
inference(sat_conversion,[],[f3278]) ).
cnf(s13,plain,
( spl55_2
| ~ spl55_12
| ~ spl55_14
| spl55_15 ),
inference(sat_conversion,[],[f4193]) ).
cnf(s14,plain,
( ~ spl55_12
| spl55_14 ),
inference(sat_conversion,[],[f4197]) ).
cnf(s15,plain,
( ~ spl55_12
| ~ spl55_15 ),
inference(sat_conversion,[],[f4204]) ).
cnf(s19,plain,
( ~ spl55_1
| spl55_18 ),
inference(sat_conversion,[],[f4406]) ).
cnf(s22,plain,
( ~ spl55_1
| ~ spl55_21 ),
inference(sat_conversion,[],[f4444]) ).
cnf(s106,plain,
( spl55_4
| spl55_84 ),
inference(sat_conversion,[],[f64955]) ).
cnf(s112,plain,
( ~ spl55_1
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_18
| spl55_21
| spl55_107 ),
inference(sat_conversion,[],[f75322]) ).
cnf(s117,plain,
( ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_107
| spl55_112 ),
inference(sat_conversion,[],[f79300]) ).
cnf(s119,plain,
( ~ spl55_1
| spl55_4
| ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_18
| spl55_74
| ~ spl55_84
| ~ spl55_107
| ~ spl55_112 ),
inference(sat_conversion,[],[f80447]) ).
cnf(s123,plain,
( ~ spl55_12
| ~ spl55_13
| ~ spl55_14
| ~ spl55_74
| ~ spl55_107 ),
inference(sat_conversion,[],[f80750]) ).
cnf(s126,plain,
( ~ spl55_4
| ~ spl55_12
| ~ spl55_13
| ~ spl55_107 ),
inference(sat_conversion,[],[f80816]) ).
cnf(s146,plain,
~ spl55_15,
inference(rat,[],[s15,s9]) ).
cnf(s147,plain,
spl55_14,
inference(rat,[],[s14,s9]) ).
cnf(s148,plain,
spl55_2,
inference(rat,[],[s13,s146,s147,s9]) ).
cnf(s149,plain,
spl55_13,
inference(rat,[],[s11,s9]) ).
cnf(s155,plain,
spl55_1,
inference(rat,[],[s1,s148]) ).
cnf(s156,plain,
~ spl55_21,
inference(rat,[],[s22,s155]) ).
cnf(s157,plain,
spl55_18,
inference(rat,[],[s19,s155]) ).
cnf(s166,plain,
spl55_107,
inference(rat,[],[s112,s156,s155,s149,s147,s9,s157]) ).
cnf(s176,plain,
spl55_112,
inference(rat,[],[s117,s149,s147,s9,s166]) ).
cnf(s177,plain,
~ spl55_74,
inference(rat,[],[s123,s149,s147,s9,s166]) ).
cnf(s178,plain,
~ spl55_4,
inference(rat,[],[s126,s149,s9,s166]) ).
cnf(s183,plain,
~ spl55_84,
inference(rat,[],[s119,s176,s166,s177,s157,s155,s147,s149,s9,s178]) ).
cnf(s185,plain,
$false,
inference(rat,[],[s106,s183,s178]) ).
fof(f80829,plain,
$false,
inference(avatar_sat_refutation,[],[s185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC170+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.35 % Computer : n017.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 28 08:11:06 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 Running first-order model finding
% 0.13/0.38 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.13/2.40 % (3391424)Will run a generic schedule for satisfiability detection.
% 14.13/2.40 % (3391433)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3559202290:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.13/2.40 % (3391430)% WARNING: option uhcvi not known.
% 14.13/2.40 % (3391430)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=265329766:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.13/2.40 % (3391429)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2838883233_2999 on theBenchmark for (2999ds/0Mi)
% 14.13/2.40 % (3391431)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2977199592:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.13/2.40 % (3391432)dis+10_1_sil=32000:sp=arity:random_seed=1631452908:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.13/2.40 % (3391435)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1983873715:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.13/2.40 % (3391434)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4268838672:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.13/2.40 % TRYING [1]
% 14.13/2.40 % TRYING [2]
% 14.13/2.40 % TRYING [3]
% 14.13/2.40 % (3391433)Instruction limit reached!
% 14.13/2.40 % (3391433)------------------------------
% 14.13/2.40 % (3391433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.13/2.40 % (3391433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.13/2.40 % (3391433)CaDiCaL version: 2.1.3
% 14.13/2.40 % (3391433)Termination reason: Instruction limit
% 14.13/2.40 % (3391433)Termination phase: Saturation
% 14.13/2.40 % (3391433)Time elapsed: 0.038 s
% 14.13/2.40 % (3391433)Peak memory usage: 13 MB
% 14.13/2.40 % (3391433)Instructions burned: 116 (million)
% 14.13/2.40 % TRYING [4]
% 14.13/2.40 % (3391443)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1175588583:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.13/2.40 % TRYING [1]
% 14.13/2.40 % TRYING [2]
% 14.13/2.40 % TRYING [3]
% 14.13/2.40 % TRYING [4]
% 14.13/2.40 % (3391432)Instruction limit reached!
% 14.13/2.40 % (3391432)------------------------------
% 14.13/2.40 % (3391432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.13/2.40 % (3391432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.13/2.40 % (3391432)CaDiCaL version: 2.1.3
% 14.13/2.40 % (3391432)Termination reason: Instruction limit
% 14.13/2.40 % (3391432)Termination phase: Saturation
% 14.13/2.40 % (3391432)Time elapsed: 0.064 s
% 14.13/2.40 % (3391432)Peak memory usage: 13 MB
% 14.13/2.40 % (3391432)Instructions burned: 104 (million)
% 14.13/2.40 % (3391434)Instruction limit reached!
% 14.13/2.40 % (3391434)------------------------------
% 14.13/2.40 % (3391434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.13/2.40 % (3391434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.13/2.40 % (3391434)CaDiCaL version: 2.1.3
% 14.13/2.40 % (3391434)Termination reason: Instruction limit
% 14.13/2.40 % (3391434)Termination phase: Saturation
% 14.13/2.40 % (3391434)Time elapsed: 0.080 s
% 14.13/2.40 % (3391434)Peak memory usage: 13 MB
% 14.13/2.40 % (3391434)Instructions burned: 132 (million)
% 14.13/2.40 % (3391445)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2779626393:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.13/2.40 % TRYING [5]
% 14.13/2.40 % TRYING [5]
% 14.13/2.40 % (3391435)Instruction limit reached!
% 14.13/2.40 % (3391435)------------------------------
% 14.13/2.40 % (3391435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.13/2.40 % (3391435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.13/2.40 % (3391435)CaDiCaL version: 2.1.3
% 14.13/2.40 % (3391435)Termination reason: Instruction limit
% 14.13/2.40 % (3391435)Termination phase: Saturation
% 14.13/2.40 % (3391435)Time elapsed: 0.099 s
% 14.13/2.40 % (3391435)Peak memory usage: 14 MB
% 14.13/2.40 % (3391435)Instructions burned: 161 (million)
% 14.13/2.40 % (3391446)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=1592558794:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.13/2.40 % (3391448)ott-21_1_sil=16000:fs=off:random_seed=1212924964:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.13/2.40 % (3391445)Instruction limit reached!
% 14.13/2.40 % (3391445)------------------------------
% 14.13/2.40 % (3391445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.31/3.72 % (3391445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/3.72 % (3391445)CaDiCaL version: 2.1.3
% 10.31/3.72 % (3391445)Termination reason: Instruction limit
% 10.31/3.72 % (3391445)Termination phase: Saturation
% 10.31/3.72 % (3391445)Time elapsed: 0.072 s
% 10.31/3.72 % (3391445)Peak memory usage: 13 MB
% 10.31/3.72 % (3391445)Instructions burned: 131 (million)
% 10.31/3.72 % (3391451)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2140790102:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 10.31/3.72 % TRYING [6]
% 10.31/3.72 % (3391443)Instruction limit reached!
% 10.31/3.72 % (3391443)------------------------------
% 10.31/3.72 % (3391443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.31/3.72 % (3391443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/3.72 % (3391443)CaDiCaL version: 2.1.3
% 10.31/3.72 % (3391443)Termination reason: Instruction limit
% 10.31/3.72 % (3391443)Termination phase: Finite model building constraint generation
% 10.31/3.72 % (3391443)Time elapsed: 0.158 s
% 10.31/3.72 % (3391443)Peak memory usage: 28 MB
% 10.31/3.72 % (3391443)Instructions burned: 714 (million)
% 10.31/3.72 % (3391448)Instruction limit reached!
% 10.31/3.72 % (3391448)------------------------------
% 10.31/3.72 % (3391448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.31/3.72 % (3391448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/3.72 % (3391448)CaDiCaL version: 2.1.3
% 10.31/3.72 % (3391448)Termination reason: Instruction limit
% 10.31/3.72 % (3391448)Termination phase: Saturation
% 10.31/3.72 % (3391448)Time elapsed: 0.088 s
% 10.31/3.72 % (3391448)Peak memory usage: 13 MB
% 10.31/3.72 % (3391448)Instructions burned: 180 (million)
% 10.31/3.72 % (3391453)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4201192025:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 10.31/3.72 % TRYING [6]
% 10.31/3.72 % TRYING [1]
% 10.31/3.72 % TRYING [2]
% 10.31/3.72 % TRYING [3]
% 10.31/3.72 % (3391454)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3678945295:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 10.31/3.72 % TRYING [4]
% 10.31/3.72 % TRYING [5]
% 10.31/3.72 % (3391453)Instruction limit reached!
% 10.31/3.72 % (3391453)------------------------------
% 10.31/3.72 % (3391453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.31/3.72 % (3391453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/3.72 % (3391453)CaDiCaL version: 2.1.3
% 10.31/3.72 % (3391453)Termination reason: Instruction limit
% 10.31/3.72 % (3391453)Termination phase: Finite model building SAT solving
% 10.31/3.72 % (3391453)Time elapsed: 0.183 s
% 10.31/3.72 % (3391453)Peak memory usage: 22 MB
% 10.31/3.72 % (3391453)Instructions burned: 870 (million)
% 10.31/3.72 % (3391457)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=187192249:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 10.31/3.72 % TRYING [14]
% 10.31/3.72 % (3391446)Instruction limit reached!
% 10.31/3.72 % (3391446)------------------------------
% 10.31/3.72 % (3391446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.31/3.72 % (3391446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/3.72 % (3391446)CaDiCaL version: 2.1.3
% 10.31/3.72 % (3391446)Termination reason: Instruction limit
% 10.31/3.72 % (3391446)Termination phase: Saturation
% 10.31/3.72 % (3391446)Time elapsed: 0.371 s
% 10.31/3.72 % (3391446)Peak memory usage: 22 MB
% 10.31/3.72 % (3391446)Instructions burned: 685 (million)
% 10.31/3.72 % (3391459)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=1452793331: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)
% 10.31/3.72 % (3391451)Instruction limit reached!
% 10.31/3.72 % (3391451)------------------------------
% 10.31/3.72 % (3391451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.31/3.72 % (3391451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/3.72 % (3391451)CaDiCaL version: 2.1.3
% 10.31/3.72 % (3391451)Termination reason: Instruction limit
% 10.31/3.72 % (3391451)Termination phase: Saturation
% 10.31/3.72 % (3391451)Time elapsed: 0.335 s
% 10.31/3.72 % (3391451)Peak memory usage: 15 MB
% 10.31/3.72 % (3391451)Instructions burned: 477 (million)
% 10.31/3.72 % TRYING [7]
% 10.31/3.72 % (3391461)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=52003366:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 10.31/3.72 % (3391457)Instruction limit reached!
% 10.31/3.72 % (3391457)------------------------------
% 10.31/3.72 % (3391457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.31/3.72 % (3391457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/3.72 % (3391457)CaDiCaL version: 2.1.3
% 10.31/3.72 % (3391457)Termination reason: Instruction limit
% 10.31/3.72 % (3391457)Termination phase: Finite model building constraint generation
% 10.31/3.72 % (3391457)Time elapsed: 0.176 s
% 10.31/3.72 % (3391457)Peak memory usage: 70 MB
% 10.31/3.72 % (3391457)Instructions burned: 892 (million)
% 10.31/3.72 % (3391463)fmb+10_1_sil=64000:random_seed=592573265:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 10.31/3.72 % TRYING [1]
% 10.31/3.72 % TRYING [2]
% 10.31/3.72 % TRYING [3]
% 10.31/3.72 % TRYING [4]
% 10.31/3.72 % TRYING [5]
% 10.31/3.72 % TRYING [6]
% 10.31/3.72 % (3391454)Instruction limit reached!
% 10.31/3.72 % (3391454)------------------------------
% 10.31/3.72 % (3391454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.31/3.72 % (3391454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/3.72 % (3391454)CaDiCaL version: 2.1.3
% 10.31/3.72 % (3391454)Termination reason: Instruction limit
% 10.31/3.72 % (3391454)Termination phase: Saturation
% 10.31/3.72 % (3391454)Time elapsed: 0.656 s
% 10.31/3.72 % (3391454)Peak memory usage: 28 MB
% 10.31/3.72 % (3391454)Instructions burned: 1179 (million)
% 10.31/3.72 % (3391459)Instruction limit reached!
% 10.31/3.72 % (3391459)------------------------------
% 10.31/3.72 % (3391459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.31/3.72 % (3391459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/3.72 % (3391459)CaDiCaL version: 2.1.3
% 10.31/3.72 % (3391459)Termination reason: Instruction limit
% 10.31/3.72 % (3391459)Termination phase: Saturation
% 10.31/3.72 % (3391459)Time elapsed: 0.397 s
% 10.31/3.72 % (3391459)Peak memory usage: 23 MB
% 10.31/3.72 % (3391459)Instructions burned: 692 (million)
% 10.31/3.72 % (3391465)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2183191799:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 10.31/3.72 % (3391466)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1312851455:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 10.31/3.72 % TRYING [20]
% 10.31/3.72 % TRYING [8]
% 10.31/3.72 % (3391461)Instruction limit reached!
% 10.31/3.72 % (3391461)------------------------------
% 10.31/3.72 % (3391461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.31/3.72 % (3391461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/3.72 % (3391461)CaDiCaL version: 2.1.3
% 10.31/3.72 % (3391461)Termination reason: Instruction limit
% 10.31/3.72 % (3391461)Termination phase: Saturation
% 10.31/3.72 % (3391461)Time elapsed: 0.472 s
% 10.31/3.72 % (3391461)Peak memory usage: 21 MB
% 10.31/3.72 % (3391461)Instructions burned: 880 (million)
% 10.31/3.72 % (3391469)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1823696402:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 10.31/3.72 % TRYING [8]
% 10.31/3.72 % TRYING [7]
% 10.31/3.72 % (3391466)Instruction limit reached!
% 10.31/3.72 % (3391466)------------------------------
% 10.31/3.72 % (3391466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.31/3.72 % (3391466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/3.72 % (3391466)CaDiCaL version: 2.1.3
% 10.31/3.72 % (3391466)Termination reason: Instruction limit
% 10.31/3.72 % (3391466)Termination phase: Finite model building constraint generation
% 10.31/3.72 % (3391466)Time elapsed: 0.339 s
% 10.31/3.72 % (3391466)Peak memory usage: 69 MB
% 10.31/3.72 % (3391466)Instructions burned: 920 (million)
% 10.31/3.72 % (3391471)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2720626041:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 10.31/3.72 % (3391471)Instruction limit reached!
% 10.31/3.72 % (3391471)------------------------------
% 10.31/3.72 % (3391471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.31/3.72 % (3391471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/3.72 % (3391471)CaDiCaL version: 2.1.3
% 10.31/3.72 % (3391471)Termination reason: Instruction limit
% 10.31/3.72 % (3391471)Termination phase: Saturation
% 10.31/3.72 % (3391471)Time elapsed: 0.664 s
% 10.31/3.72 % (3391471)Peak memory usage: 23 MB
% 10.31/3.72 % (3391471)Instructions burned: 1472 (million)
% 10.31/3.72 % (3391473)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=669934619:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 10.31/3.72 % TRYING [77]
% 10.31/3.72 % TRYING [8]
% 10.31/3.72 % TRYING [9]
% 10.31/3.72 % (3391469) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3391424-3391469"...
% 10.31/3.72 % (3391469)...printing done.
% 10.31/3.72 % (3391469)Refutation found. Thanks to Tanya!
% 10.31/3.72 % SZS status Theorem for theBenchmark
% 10.31/3.72 % SZS output start Proof for theBenchmark
% See solution above
% 10.31/3.73 % (3391469)------------------------------
% 10.31/3.73 % (3391469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.31/3.73 % (3391469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.31/3.73 % (3391469)CaDiCaL version: 2.1.3
% 10.31/3.73 % (3391469)Termination reason: Refutation
% 10.31/3.73 % (3391469)Time elapsed: 2.202 s
% 10.31/3.73 % (3391469)Peak memory usage: 47 MB
% 10.31/3.73 % (3391469)Instructions burned: 4097 (million)
% 10.31/3.73 % (3391424)Success in time 3.332 s
% 10.31/3.73 % Vampire exiting
%------------------------------------------------------------------------------