%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC285+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 : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:05:23 PM UTC 2026
% Result : Theorem 6.95s 3.54s
% Output : Refutation 6.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 39
% Syntax : Number of formulae : 307 ( 31 unt; 14 def)
% Number of atoms : 1054 ( 197 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 1315 ( 568 ~; 607 |; 47 &)
% ( 28 <=>; 65 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 15 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 237 ( 0 sgn 213 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(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(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(f41,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( frontsegP(X0,X1)
& frontsegP(X1,X0) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax41) ).
fof(f43,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X0,X1)
=> frontsegP(app(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax43) ).
fof(f44,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( X0 = X1
& frontsegP(X2,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax44) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax45) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(f80,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X1,X2) = app(X1,X0)
=> X2 = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax80) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(f85,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> hd(app(X0,X1)) = hd(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax85) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax86) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ segmentP(X3,X2)
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X5,cons(X4,nil)),X6) != X0
| ! [X7] :
( ssItem(X7)
=> ( ( ~ memberP(X5,X7)
| leq(X7,X4) )
& ( ~ memberP(X6,X7)
| leq(X4,X7) ) ) ) ) ) ) )
| ( ~ singletonP(X2)
& neq(X3,nil) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ segmentP(X3,X2)
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X5,cons(X4,nil)),X6) != X0
| ! [X7] :
( ssItem(X7)
=> ( ( ~ memberP(X5,X7)
| leq(X7,X4) )
& ( ~ memberP(X6,X7)
| leq(X4,X7) ) ) ) ) ) ) )
| ( ~ singletonP(X2)
& neq(X3,nil) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(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(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(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(f196,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X0
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X0
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f196]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f201,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
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(f204,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f204]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& segmentP(X3,X2)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ? [X7] :
( ( ( memberP(X5,X7)
& ~ leq(X7,X4) )
| ( memberP(X6,X7)
& ~ leq(X4,X7) ) )
& ssItem(X7) )
& ssList(X6) )
& ssList(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] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ? [X7] :
( ( ( memberP(X5,X7)
& ~ leq(X7,X4) )
| ( memberP(X6,X7)
& ~ leq(X4,X7) ) )
& ssItem(X7) )
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& ( singletonP(X2)
| ~ neq(X3,nil) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f228,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| memberP(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(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(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(f336,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f339,plain,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f152]) ).
fof(f341,plain,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(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(f391,plain,
! [X2,X0,X1] :
( app(X1,X2) != app(X1,X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X0 = X2 ),
inference(cnf_transformation,[],[f197]) ).
fof(f394,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f395,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f397,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f398,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| hd(X0) = hd(app(X0,X1)) ),
inference(cnf_transformation,[],[f203]) ).
fof(f399,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f412,plain,
( memberP(sK53,sK54)
| memberP(sK52,sK54) ),
inference(cnf_transformation,[],[f222]) ).
fof(f415,plain,
ssItem(sK54),
inference(cnf_transformation,[],[f222]) ).
fof(f416,plain,
ssList(sK53),
inference(cnf_transformation,[],[f222]) ).
fof(f417,plain,
sK47 = app(app(sK52,cons(sK51,nil)),sK53),
inference(cnf_transformation,[],[f222]) ).
fof(f418,plain,
ssList(sK52),
inference(cnf_transformation,[],[f222]) ).
fof(f419,plain,
ssItem(sK51),
inference(cnf_transformation,[],[f222]) ).
fof(f420,plain,
( ~ neq(sK50,nil)
| singletonP(sK49) ),
inference(cnf_transformation,[],[f222]) ).
fof(f421,plain,
ssList(sK50),
inference(cnf_transformation,[],[f222]) ).
fof(f422,plain,
segmentP(sK50,sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f423,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f425,plain,
ssList(sK49),
inference(cnf_transformation,[],[f222]) ).
fof(f430,plain,
sK49 = app(app(sK52,cons(sK51,nil)),sK53),
inference(definition_unfolding,[],[f417,f423]) ).
fof(f432,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(f434,plain,
! [X2,X1] :
( ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X1,X2),X1) ),
inference(equality_resolution,[],[f237]) ).
fof(f447,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(f458,plain,
! [X2,X3,X1] :
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ frontsegP(X2,X3)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f447]) ).
fof(f464,definition,
( spl55_1
<=> singletonP(sK49) ),
introduced(definition,[new_symbols(definition,[spl55_1])],[avatar_definition]) ).
fof(f466,plain,
( singletonP(sK49)
| ~ spl55_1 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f468,definition,
( spl55_2
<=> neq(sK50,nil) ),
introduced(definition,[new_symbols(definition,[spl55_2])],[avatar_definition]) ).
fof(f470,plain,
( ~ neq(sK50,nil)
| spl55_2 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f471,plain,
( spl55_1
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f420,f468,f464]) ).
fof(f477,definition,
( spl55_4
<=> memberP(sK53,sK54) ),
introduced(definition,[new_symbols(definition,[spl55_4])],[avatar_definition]) ).
fof(f479,plain,
( memberP(sK53,sK54)
| ~ spl55_4 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f482,definition,
( spl55_5
<=> memberP(sK52,sK54) ),
introduced(definition,[new_symbols(definition,[spl55_5])],[avatar_definition]) ).
fof(f484,plain,
( memberP(sK52,sK54)
| ~ spl55_5 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f485,plain,
( spl55_5
| spl55_4 ),
inference(avatar_split_clause,[],[f412,f477,f482]) ).
fof(f515,plain,
sK53 = app(nil,sK53),
inference(resolution,[],[f320,f416]) ).
fof(f539,plain,
sK52 = app(sK52,nil),
inference(resolution,[],[f397,f418]) ).
fof(f619,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK51,X0) != X0 ),
inference(resolution,[],[f307,f419]) ).
fof(f623,plain,
nil != cons(sK51,nil),
inference(resolution,[],[f619,f306]) ).
fof(f656,plain,
( ~ ssList(nil)
| nil = sK50
| ~ ssList(sK50)
| spl55_2 ),
inference(resolution,[],[f303,f470]) ).
fof(f661,plain,
( nil = sK50
| ~ ssList(sK50)
| spl55_2 ),
inference(forward_subsumption_resolution,[],[f656,f306]) ).
fof(f662,plain,
( nil = sK50
| spl55_2 ),
inference(forward_subsumption_resolution,[],[f661,f421]) ).
fof(f664,plain,
( segmentP(nil,sK49)
| spl55_2 ),
inference(superposition,[],[f422,f662]) ).
fof(f671,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| nil = X0
| hd(cons(X1,tl(X0))) = X1 ),
inference(resolution,[],[f315,f316]) ).
fof(f716,plain,
( nil = sK49
| ~ ssList(sK49)
| spl55_2 ),
inference(resolution,[],[f664,f361]) ).
fof(f717,plain,
( nil = sK49
| spl55_2 ),
inference(forward_subsumption_resolution,[],[f716,f425]) ).
fof(f720,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| nil = X0
| tl(X0) = tl(cons(X1,tl(X0))) ),
inference(resolution,[],[f317,f316]) ).
fof(f763,plain,
! [X0] :
( ~ ssList(X0)
| tl(cons(sK51,X0)) = X0 ),
inference(resolution,[],[f317,f419]) ).
fof(f1053,plain,
( nil = sK52
| sK52 = cons(hd(sK52),tl(sK52)) ),
inference(resolution,[],[f389,f418]) ).
fof(f1102,plain,
( nil != sK49
| ~ ssList(sK53)
| nil = sK53
| ~ ssList(app(sK52,cons(sK51,nil))) ),
inference(superposition,[],[f395,f430]) ).
fof(f1107,plain,
( ~ ssList(sK53)
| nil = sK53
| ~ ssList(app(sK52,cons(sK51,nil)))
| spl55_2 ),
inference(forward_subsumption_resolution,[],[f1102,f717]) ).
fof(f1108,plain,
( nil = sK53
| ~ ssList(app(sK52,cons(sK51,nil)))
| spl55_2 ),
inference(forward_subsumption_resolution,[],[f1107,f416]) ).
fof(f1155,plain,
nil = tl(cons(sK51,nil)),
inference(resolution,[],[f763,f306]) ).
fof(f1312,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f434,f318]) ).
fof(f1316,plain,
( frontsegP(sK49,app(sK52,cons(sK51,nil)))
| ~ ssList(sK53)
| ~ ssList(app(sK52,cons(sK51,nil))) ),
inference(superposition,[],[f1312,f430]) ).
fof(f1329,plain,
( frontsegP(sK49,app(sK52,cons(sK51,nil)))
| ~ ssList(app(sK52,cons(sK51,nil))) ),
inference(forward_subsumption_resolution,[],[f1316,f416]) ).
fof(f1376,definition,
( spl55_8
<=> nil = sK52 ),
introduced(definition,[new_symbols(definition,[spl55_8])],[avatar_definition]) ).
fof(f1377,plain,
( nil != sK52
| spl55_8 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f1378,plain,
( nil = sK52
| ~ spl55_8 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f1414,definition,
( spl55_10
<=> nil = sK53 ),
introduced(definition,[new_symbols(definition,[spl55_10])],[avatar_definition]) ).
fof(f1415,plain,
( nil != sK53
| spl55_10 ),
inference(avatar_component_clause,[],[f1414]) ).
fof(f1416,plain,
( nil = sK53
| ~ spl55_10 ),
inference(avatar_component_clause,[],[f1414]) ).
fof(f1421,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X2,X0)
| ~ ssList(X2)
| ~ frontsegP(X0,app(X2,X1))
| ~ ssList(app(X2,X1))
| ~ ssList(X0)
| app(X2,X1) = X0 ),
inference(resolution,[],[f341,f339]) ).
fof(f1422,plain,
! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ ssList(sK53)
| ~ frontsegP(app(sK52,cons(sK51,nil)),X0)
| ~ ssList(app(sK52,cons(sK51,nil))) ),
inference(superposition,[],[f341,f430]) ).
fof(f1433,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X2,X0)
| ~ ssList(X2)
| ~ frontsegP(X0,app(X2,X1))
| ~ ssList(app(X2,X1))
| app(X2,X1) = X0 ),
inference(duplicate_literal_removal,[],[f1421]) ).
fof(f1440,plain,
! [X0] :
( frontsegP(sK49,X0)
| ~ ssList(X0)
| ~ frontsegP(app(sK52,cons(sK51,nil)),X0)
| ~ ssList(app(sK52,cons(sK51,nil))) ),
inference(forward_subsumption_resolution,[],[f1422,f416]) ).
fof(f1441,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,app(X2,X1))
| ~ ssList(X1)
| ~ frontsegP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X0)
| app(X2,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f1433,f318]) ).
fof(f1570,plain,
! [X0] :
( ~ ssList(X0)
| nil = sK52
| hd(sK52) = hd(app(sK52,X0)) ),
inference(resolution,[],[f398,f418]) ).
fof(f1620,plain,
( memberP(nil,sK54)
| ~ spl55_4
| ~ spl55_10 ),
inference(superposition,[],[f479,f1416]) ).
fof(f1641,plain,
( ~ ssItem(sK54)
| ~ spl55_4
| ~ spl55_10 ),
inference(resolution,[],[f1620,f336]) ).
fof(f1642,plain,
( $false
| ~ spl55_4
| ~ spl55_10 ),
inference(forward_subsumption_resolution,[],[f1641,f415]) ).
fof(f1643,plain,
( ~ spl55_4
| ~ spl55_10 ),
inference(avatar_contradiction_clause,[],[f1642]) ).
fof(f1645,plain,
( memberP(nil,sK54)
| ~ spl55_5
| ~ spl55_8 ),
inference(forward_demodulation,[],[f484,f1378]) ).
fof(f1833,plain,
! [X0] :
( sK52 != app(sK52,X0)
| ~ ssList(sK52)
| ~ ssList(X0)
| ~ ssList(nil)
| nil = X0 ),
inference(superposition,[],[f391,f539]) ).
fof(f1840,plain,
! [X0] :
( sK52 != app(sK52,X0)
| ~ ssList(X0)
| ~ ssList(nil)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f1833,f418]) ).
fof(f1858,plain,
! [X0] :
( sK52 != app(sK52,X0)
| ~ ssList(X0)
| nil = X0 ),
inference(forward_subsumption_resolution,[],[f1840,f306]) ).
fof(f1930,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| tl(app(X0,sK53)) = app(tl(X0),sK53) ),
inference(resolution,[],[f399,f416]) ).
fof(f1984,definition,
( spl55_13
<=> ssList(app(sK52,cons(sK51,nil))) ),
introduced(definition,[new_symbols(definition,[spl55_13])],[avatar_definition]) ).
fof(f1985,plain,
( ssList(app(sK52,cons(sK51,nil)))
| ~ spl55_13 ),
inference(avatar_component_clause,[],[f1984]) ).
fof(f1986,plain,
( ~ ssList(app(sK52,cons(sK51,nil)))
| spl55_13 ),
inference(avatar_component_clause,[],[f1984]) ).
fof(f1992,plain,
( ~ ssList(cons(sK51,nil))
| ~ ssList(sK52)
| spl55_13 ),
inference(resolution,[],[f1986,f318]) ).
fof(f1993,plain,
( ~ ssList(cons(sK51,nil))
| spl55_13 ),
inference(forward_subsumption_resolution,[],[f1992,f418]) ).
fof(f2079,plain,
( ~ ssItem(sK51)
| ~ ssList(nil)
| spl55_13 ),
inference(resolution,[],[f1993,f305]) ).
fof(f2080,plain,
( ~ ssList(nil)
| spl55_13 ),
inference(forward_subsumption_resolution,[],[f2079,f419]) ).
fof(f2081,plain,
( $false
| spl55_13 ),
inference(forward_subsumption_resolution,[],[f2080,f306]) ).
fof(f2082,plain,
spl55_13,
inference(avatar_contradiction_clause,[],[f2081]) ).
fof(f2275,plain,
( ~ ssList(app(sK52,cons(sK51,nil)))
| spl55_2
| spl55_10 ),
inference(forward_subsumption_resolution,[],[f1108,f1415]) ).
fof(f2276,plain,
( $false
| spl55_2
| spl55_10
| ~ spl55_13 ),
inference(forward_subsumption_resolution,[],[f2275,f1985]) ).
fof(f2277,plain,
( spl55_2
| spl55_10
| ~ spl55_13 ),
inference(avatar_contradiction_clause,[],[f2276]) ).
fof(f2280,plain,
( sK49 = app(app(sK52,cons(sK51,nil)),nil)
| ~ spl55_10 ),
inference(superposition,[],[f430,f1416]) ).
fof(f2294,plain,
( nil = app(app(sK52,cons(sK51,nil)),nil)
| spl55_2
| ~ spl55_10 ),
inference(forward_demodulation,[],[f2280,f717]) ).
fof(f2443,plain,
( nil != nil
| ~ ssList(nil)
| nil = app(sK52,cons(sK51,nil))
| ~ ssList(app(sK52,cons(sK51,nil)))
| spl55_2
| ~ spl55_10 ),
inference(superposition,[],[f394,f2294]) ).
fof(f2446,plain,
( ~ ssList(nil)
| nil = app(sK52,cons(sK51,nil))
| ~ ssList(app(sK52,cons(sK51,nil)))
| spl55_2
| ~ spl55_10 ),
inference(trivial_inequality_removal,[],[f2443]) ).
fof(f2448,plain,
( nil = app(sK52,cons(sK51,nil))
| ~ ssList(app(sK52,cons(sK51,nil)))
| spl55_2
| ~ spl55_10 ),
inference(forward_subsumption_resolution,[],[f2446,f306]) ).
fof(f2456,plain,
( nil = app(sK52,cons(sK51,nil))
| spl55_2
| ~ spl55_10
| ~ spl55_13 ),
inference(forward_subsumption_resolution,[],[f2448,f1985]) ).
fof(f2518,plain,
( memberP(nil,sK51)
| ~ ssItem(sK51)
| ~ ssList(nil)
| ~ ssList(sK52)
| ~ ssList(nil)
| spl55_2
| ~ spl55_10
| ~ spl55_13 ),
inference(superposition,[],[f432,f2456]) ).
fof(f2537,plain,
( memberP(nil,sK51)
| ~ ssItem(sK51)
| ~ ssList(nil)
| ~ ssList(sK52)
| spl55_2
| ~ spl55_10
| ~ spl55_13 ),
inference(duplicate_literal_removal,[],[f2518]) ).
fof(f2552,plain,
( ~ ssItem(sK51)
| ~ ssList(nil)
| ~ ssList(sK52)
| spl55_2
| ~ spl55_10
| ~ spl55_13 ),
inference(forward_subsumption_resolution,[],[f2537,f336]) ).
fof(f2558,plain,
( ~ ssList(nil)
| ~ ssList(sK52)
| spl55_2
| ~ spl55_10
| ~ spl55_13 ),
inference(forward_subsumption_resolution,[],[f2552,f419]) ).
fof(f2560,plain,
( ~ ssList(sK52)
| spl55_2
| ~ spl55_10
| ~ spl55_13 ),
inference(forward_subsumption_resolution,[],[f2558,f306]) ).
fof(f2561,plain,
( $false
| spl55_2
| ~ spl55_10
| ~ spl55_13 ),
inference(forward_subsumption_resolution,[],[f2560,f418]) ).
fof(f2562,plain,
( spl55_2
| ~ spl55_10
| ~ spl55_13 ),
inference(avatar_contradiction_clause,[],[f2561]) ).
fof(f2564,plain,
( frontsegP(sK49,app(sK52,cons(sK51,nil)))
| ~ spl55_13 ),
inference(forward_subsumption_resolution,[],[f1329,f1985]) ).
fof(f2568,plain,
( ! [X0] :
( ~ frontsegP(app(sK52,cons(sK51,nil)),X0)
| ~ ssList(X0)
| frontsegP(sK49,X0) )
| ~ spl55_13 ),
inference(forward_subsumption_resolution,[],[f1440,f1985]) ).
fof(f2586,plain,
( sK49 = cons(sK4(sK49),nil)
| ~ ssList(sK49)
| ~ spl55_1 ),
inference(resolution,[],[f466,f232]) ).
fof(f2587,plain,
( sK49 = cons(sK4(sK49),nil)
| ~ spl55_1 ),
inference(forward_subsumption_resolution,[],[f2586,f425]) ).
fof(f2715,definition,
( spl55_17
<=> ssItem(sK4(sK49)) ),
introduced(definition,[new_symbols(definition,[spl55_17])],[avatar_definition]) ).
fof(f2716,plain,
( ssItem(sK4(sK49))
| ~ spl55_17 ),
inference(avatar_component_clause,[],[f2715]) ).
fof(f2717,plain,
( ~ ssItem(sK4(sK49))
| spl55_17 ),
inference(avatar_component_clause,[],[f2715]) ).
fof(f2729,plain,
( ~ ssList(sK49)
| ~ singletonP(sK49)
| spl55_17 ),
inference(resolution,[],[f2717,f233]) ).
fof(f2730,plain,
( ~ singletonP(sK49)
| spl55_17 ),
inference(forward_subsumption_resolution,[],[f2729,f425]) ).
fof(f2731,plain,
( $false
| ~ spl55_1
| spl55_17 ),
inference(forward_subsumption_resolution,[],[f2730,f466]) ).
fof(f2732,plain,
( ~ spl55_1
| spl55_17 ),
inference(avatar_contradiction_clause,[],[f2731]) ).
fof(f2854,definition,
( spl55_25
<=> ssList(cons(sK51,nil)) ),
introduced(definition,[new_symbols(definition,[spl55_25])],[avatar_definition]) ).
fof(f2855,plain,
( ssList(cons(sK51,nil))
| ~ spl55_25 ),
inference(avatar_component_clause,[],[f2854]) ).
fof(f2856,plain,
( ~ ssList(cons(sK51,nil))
| spl55_25 ),
inference(avatar_component_clause,[],[f2854]) ).
fof(f2862,plain,
( ~ ssItem(sK51)
| ~ ssList(nil)
| spl55_25 ),
inference(resolution,[],[f2856,f305]) ).
fof(f2863,plain,
( ~ ssList(nil)
| spl55_25 ),
inference(forward_subsumption_resolution,[],[f2862,f419]) ).
fof(f2864,plain,
( $false
| spl55_25 ),
inference(forward_subsumption_resolution,[],[f2863,f306]) ).
fof(f2865,plain,
spl55_25,
inference(avatar_contradiction_clause,[],[f2864]) ).
fof(f2872,plain,
( cons(sK51,nil) = app(nil,cons(sK51,nil))
| ~ spl55_25 ),
inference(resolution,[],[f2855,f320]) ).
fof(f3144,plain,
( sK52 = cons(hd(sK52),tl(sK52))
| spl55_8 ),
inference(forward_subsumption_resolution,[],[f1053,f1377]) ).
fof(f3620,plain,
( ! [X0] :
( ~ ssList(X0)
| hd(sK52) = hd(app(sK52,X0)) )
| spl55_8 ),
inference(forward_subsumption_resolution,[],[f1570,f1377]) ).
fof(f3678,plain,
( ~ ssList(sK52)
| frontsegP(sK49,sK52)
| ~ ssList(cons(sK51,nil))
| ~ ssList(sK52)
| ~ spl55_13 ),
inference(resolution,[],[f2568,f1312]) ).
fof(f3686,plain,
( ~ ssList(sK52)
| frontsegP(sK49,sK52)
| ~ ssList(cons(sK51,nil))
| ~ spl55_13 ),
inference(duplicate_literal_removal,[],[f3678]) ).
fof(f3690,plain,
( frontsegP(sK49,sK52)
| ~ ssList(cons(sK51,nil))
| ~ spl55_13 ),
inference(forward_subsumption_resolution,[],[f3686,f418]) ).
fof(f3693,plain,
( frontsegP(sK49,sK52)
| ~ spl55_13
| ~ spl55_25 ),
inference(forward_subsumption_resolution,[],[f3690,f2855]) ).
fof(f3707,plain,
( ~ ssList(sK52)
| sK49 = app(sK52,sK5(sK49,sK52))
| ~ ssList(sK49)
| ~ spl55_13
| ~ spl55_25 ),
inference(resolution,[],[f3693,f235]) ).
fof(f3708,plain,
( sK49 = app(sK52,sK5(sK49,sK52))
| ~ ssList(sK49)
| ~ spl55_13
| ~ spl55_25 ),
inference(forward_subsumption_resolution,[],[f3707,f418]) ).
fof(f3709,plain,
( sK49 = app(sK52,sK5(sK49,sK52))
| ~ spl55_13
| ~ spl55_25 ),
inference(forward_subsumption_resolution,[],[f3708,f425]) ).
fof(f9319,plain,
( ! [X0] :
( ~ ssItem(X0)
| nil = cons(sK51,nil)
| hd(cons(X0,tl(cons(sK51,nil)))) = X0 )
| ~ spl55_25 ),
inference(resolution,[],[f671,f2855]) ).
fof(f9383,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,tl(cons(sK51,nil)))) = X0 )
| ~ spl55_25 ),
inference(forward_subsumption_resolution,[],[f9319,f623]) ).
fof(f9390,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,nil)) = X0 )
| ~ spl55_25 ),
inference(forward_demodulation,[],[f9383,f1155]) ).
fof(f9789,plain,
( sK4(sK49) = hd(cons(sK4(sK49),nil))
| ~ spl55_17
| ~ spl55_25 ),
inference(resolution,[],[f9390,f2716]) ).
fof(f9808,plain,
( hd(sK49) = sK4(sK49)
| ~ spl55_1
| ~ spl55_17
| ~ spl55_25 ),
inference(forward_demodulation,[],[f9789,f2587]) ).
fof(f9815,plain,
( sK49 = cons(hd(sK49),nil)
| ~ spl55_1
| ~ spl55_17
| ~ spl55_25 ),
inference(superposition,[],[f2587,f9808]) ).
fof(f9816,plain,
( ssItem(hd(sK49))
| ~ spl55_1
| ~ spl55_17
| ~ spl55_25 ),
inference(superposition,[],[f2716,f9808]) ).
fof(f9890,plain,
( ! [X0] :
( frontsegP(cons(hd(sK49),X0),sK49)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ frontsegP(X0,nil)
| ~ ssItem(hd(sK49)) )
| ~ spl55_1
| ~ spl55_17
| ~ spl55_25 ),
inference(superposition,[],[f458,f9815]) ).
fof(f9898,plain,
( ! [X0] :
( frontsegP(cons(hd(sK49),X0),sK49)
| ~ ssList(X0)
| ~ frontsegP(X0,nil)
| ~ ssItem(hd(sK49)) )
| ~ spl55_1
| ~ spl55_17
| ~ spl55_25 ),
inference(forward_subsumption_resolution,[],[f9890,f306]) ).
fof(f9922,plain,
( ! [X0] :
( frontsegP(cons(hd(sK49),X0),sK49)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) )
| ~ spl55_1
| ~ spl55_17
| ~ spl55_25 ),
inference(forward_subsumption_resolution,[],[f9898,f9816]) ).
fof(f9943,plain,
( ! [X0] :
( frontsegP(cons(hd(sK49),X0),sK49)
| ~ ssList(X0) )
| ~ spl55_1
| ~ spl55_17
| ~ spl55_25 ),
inference(forward_subsumption_resolution,[],[f9922,f345]) ).
fof(f10480,definition,
( spl55_35
<=> sK49 = sK52 ),
introduced(definition,[new_symbols(definition,[spl55_35])],[avatar_definition]) ).
fof(f10481,plain,
( sK49 != sK52
| spl55_35 ),
inference(avatar_component_clause,[],[f10480]) ).
fof(f10484,definition,
( spl55_36
<=> frontsegP(sK52,sK49) ),
introduced(definition,[new_symbols(definition,[spl55_36])],[avatar_definition]) ).
fof(f10485,plain,
( frontsegP(sK52,sK49)
| ~ spl55_36 ),
inference(avatar_component_clause,[],[f10484]) ).
fof(f10486,plain,
( ~ frontsegP(sK52,sK49)
| spl55_36 ),
inference(avatar_component_clause,[],[f10484]) ).
fof(f10991,plain,
( ! [X0] :
( ~ ssItem(X0)
| nil = cons(sK51,nil)
| tl(cons(sK51,nil)) = tl(cons(X0,tl(cons(sK51,nil)))) )
| ~ spl55_25 ),
inference(resolution,[],[f720,f2855]) ).
fof(f11057,plain,
( ! [X0] :
( ~ ssItem(X0)
| tl(cons(sK51,nil)) = tl(cons(X0,tl(cons(sK51,nil)))) )
| ~ spl55_25 ),
inference(forward_subsumption_resolution,[],[f10991,f623]) ).
fof(f11064,plain,
( ! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) )
| ~ spl55_25 ),
inference(forward_demodulation,[],[f11057,f1155]) ).
fof(f11154,plain,
( nil = tl(cons(sK4(sK49),nil))
| ~ spl55_17
| ~ spl55_25 ),
inference(resolution,[],[f11064,f2716]) ).
fof(f11173,plain,
( nil = tl(sK49)
| ~ spl55_1
| ~ spl55_17
| ~ spl55_25 ),
inference(forward_demodulation,[],[f11154,f2587]) ).
fof(f21991,plain,
( ~ ssList(cons(sK51,nil))
| ~ frontsegP(sK52,sK49)
| ~ ssList(sK52)
| ~ ssList(sK49)
| sK49 = app(sK52,cons(sK51,nil))
| ~ spl55_13 ),
inference(resolution,[],[f1441,f2564]) ).
fof(f52733,plain,
( ~ frontsegP(sK52,sK49)
| ~ ssList(sK52)
| ~ ssList(sK49)
| sK49 = app(sK52,cons(sK51,nil))
| ~ spl55_13
| ~ spl55_25 ),
inference(forward_subsumption_resolution,[],[f21991,f2855]) ).
fof(f52895,plain,
( ~ frontsegP(sK52,sK49)
| ~ ssList(sK49)
| sK49 = app(sK52,cons(sK51,nil))
| ~ spl55_13
| ~ spl55_25 ),
inference(forward_subsumption_resolution,[],[f52733,f418]) ).
fof(f52932,plain,
( ~ frontsegP(sK52,sK49)
| sK49 = app(sK52,cons(sK51,nil))
| ~ spl55_13
| ~ spl55_25 ),
inference(forward_subsumption_resolution,[],[f52895,f425]) ).
fof(f54107,plain,
( nil = cons(sK51,nil)
| tl(app(cons(sK51,nil),sK53)) = app(tl(cons(sK51,nil)),sK53)
| ~ spl55_25 ),
inference(resolution,[],[f1930,f2855]) ).
fof(f54176,plain,
( tl(app(cons(sK51,nil),sK53)) = app(tl(cons(sK51,nil)),sK53)
| ~ spl55_25 ),
inference(forward_subsumption_resolution,[],[f54107,f623]) ).
fof(f54194,plain,
( app(nil,sK53) = tl(app(cons(sK51,nil),sK53))
| ~ spl55_25 ),
inference(forward_demodulation,[],[f54176,f1155]) ).
fof(f54205,plain,
( sK53 = tl(app(cons(sK51,nil),sK53))
| ~ spl55_25 ),
inference(forward_demodulation,[],[f54194,f515]) ).
fof(f63327,definition,
( spl55_71
<=> ssList(tl(sK52)) ),
introduced(definition,[new_symbols(definition,[spl55_71])],[avatar_definition]) ).
fof(f63328,plain,
( ssList(tl(sK52))
| ~ spl55_71 ),
inference(avatar_component_clause,[],[f63327]) ).
fof(f63329,plain,
( ~ ssList(tl(sK52))
| spl55_71 ),
inference(avatar_component_clause,[],[f63327]) ).
fof(f63399,plain,
( nil = sK52
| ~ ssList(sK52)
| spl55_71 ),
inference(resolution,[],[f63329,f316]) ).
fof(f63400,plain,
( ~ ssList(sK52)
| spl55_8
| spl55_71 ),
inference(forward_subsumption_resolution,[],[f63399,f1377]) ).
fof(f63401,plain,
( $false
| spl55_8
| spl55_71 ),
inference(forward_subsumption_resolution,[],[f63400,f418]) ).
fof(f63402,plain,
( spl55_8
| spl55_71 ),
inference(avatar_contradiction_clause,[],[f63401]) ).
fof(f66470,definition,
( spl55_79
<=> sK49 = app(sK52,cons(sK51,nil)) ),
introduced(definition,[new_symbols(definition,[spl55_79])],[avatar_definition]) ).
fof(f66472,plain,
( sK49 = app(sK52,cons(sK51,nil))
| ~ spl55_79 ),
inference(avatar_component_clause,[],[f66470]) ).
fof(f66473,plain,
( spl55_79
| ~ spl55_36
| ~ spl55_13
| ~ spl55_25 ),
inference(avatar_split_clause,[],[f52932,f2854,f1984,f10484,f66470]) ).
fof(f70973,definition,
( spl55_87
<=> ssList(sK5(sK49,sK52)) ),
introduced(definition,[new_symbols(definition,[spl55_87])],[avatar_definition]) ).
fof(f70974,plain,
( ssList(sK5(sK49,sK52))
| ~ spl55_87 ),
inference(avatar_component_clause,[],[f70973]) ).
fof(f70975,plain,
( ~ ssList(sK5(sK49,sK52))
| spl55_87 ),
inference(avatar_component_clause,[],[f70973]) ).
fof(f71080,plain,
( ~ ssList(sK52)
| ~ ssList(sK49)
| ~ frontsegP(sK49,sK52)
| spl55_87 ),
inference(resolution,[],[f70975,f236]) ).
fof(f71081,plain,
( ~ ssList(sK49)
| ~ frontsegP(sK49,sK52)
| spl55_87 ),
inference(forward_subsumption_resolution,[],[f71080,f418]) ).
fof(f71082,plain,
( ~ frontsegP(sK49,sK52)
| spl55_87 ),
inference(forward_subsumption_resolution,[],[f71081,f425]) ).
fof(f71083,plain,
( $false
| ~ spl55_13
| ~ spl55_25
| spl55_87 ),
inference(forward_subsumption_resolution,[],[f71082,f3693]) ).
fof(f71084,plain,
( ~ spl55_13
| ~ spl55_25
| spl55_87 ),
inference(avatar_contradiction_clause,[],[f71083]) ).
fof(f71790,plain,
( hd(sK52) = hd(app(sK52,sK5(sK49,sK52)))
| spl55_8
| ~ spl55_87 ),
inference(resolution,[],[f70974,f3620]) ).
fof(f71851,plain,
( hd(sK49) = hd(sK52)
| spl55_8
| ~ spl55_13
| ~ spl55_25
| ~ spl55_87 ),
inference(forward_demodulation,[],[f71790,f3709]) ).
fof(f71959,plain,
( sK52 = cons(hd(sK49),tl(sK52))
| spl55_8
| ~ spl55_13
| ~ spl55_25
| ~ spl55_87 ),
inference(superposition,[],[f3144,f71851]) ).
fof(f76507,plain,
( frontsegP(sK52,sK49)
| ~ ssList(tl(sK52))
| ~ spl55_1
| spl55_8
| ~ spl55_13
| ~ spl55_17
| ~ spl55_25
| ~ spl55_87 ),
inference(superposition,[],[f9943,f71959]) ).
fof(f76616,plain,
( ~ ssList(tl(sK52))
| ~ spl55_1
| spl55_8
| ~ spl55_13
| ~ spl55_17
| ~ spl55_25
| spl55_36
| ~ spl55_87 ),
inference(forward_subsumption_resolution,[],[f76507,f10486]) ).
fof(f76669,plain,
( $false
| ~ spl55_1
| spl55_8
| ~ spl55_13
| ~ spl55_17
| ~ spl55_25
| spl55_36
| ~ spl55_71
| ~ spl55_87 ),
inference(forward_subsumption_resolution,[],[f76616,f63328]) ).
fof(f76670,plain,
( ~ spl55_1
| spl55_8
| ~ spl55_13
| ~ spl55_17
| ~ spl55_25
| spl55_36
| ~ spl55_71
| ~ spl55_87 ),
inference(avatar_contradiction_clause,[],[f76669]) ).
fof(f76689,plain,
( sK49 != sK52
| ~ ssList(cons(sK51,nil))
| nil = cons(sK51,nil)
| ~ spl55_79 ),
inference(superposition,[],[f1858,f66472]) ).
fof(f76761,plain,
( sK49 != sK52
| nil = cons(sK51,nil)
| ~ spl55_25
| ~ spl55_79 ),
inference(forward_subsumption_resolution,[],[f76689,f2855]) ).
fof(f76793,plain,
( sK49 != sK52
| ~ spl55_25
| ~ spl55_79 ),
inference(forward_subsumption_resolution,[],[f76761,f623]) ).
fof(f76812,plain,
( ~ frontsegP(sK49,sK52)
| ~ ssList(sK52)
| ~ ssList(sK49)
| sK49 = sK52
| ~ spl55_36 ),
inference(resolution,[],[f10485,f339]) ).
fof(f76864,plain,
( ~ ssList(sK52)
| ~ ssList(sK49)
| sK49 = sK52
| ~ spl55_13
| ~ spl55_25
| ~ spl55_36 ),
inference(forward_subsumption_resolution,[],[f76812,f3693]) ).
fof(f76892,plain,
( ~ ssList(sK49)
| sK49 = sK52
| ~ spl55_13
| ~ spl55_25
| ~ spl55_36 ),
inference(forward_subsumption_resolution,[],[f76864,f418]) ).
fof(f76895,plain,
( sK49 = sK52
| ~ spl55_13
| ~ spl55_25
| ~ spl55_36 ),
inference(forward_subsumption_resolution,[],[f76892,f425]) ).
fof(f76899,plain,
( ~ spl55_35
| ~ spl55_25
| ~ spl55_79 ),
inference(avatar_split_clause,[],[f76793,f66470,f2854,f10480]) ).
fof(f76904,plain,
( $false
| ~ spl55_13
| ~ spl55_25
| spl55_35
| ~ spl55_36 ),
inference(forward_subsumption_resolution,[],[f76895,f10481]) ).
fof(f76905,plain,
( ~ spl55_13
| ~ spl55_25
| spl55_35
| ~ spl55_36 ),
inference(avatar_contradiction_clause,[],[f76904]) ).
fof(f77271,plain,
( ~ ssItem(sK54)
| ~ spl55_5
| ~ spl55_8 ),
inference(resolution,[],[f1645,f336]) ).
fof(f77352,plain,
( $false
| ~ spl55_5
| ~ spl55_8 ),
inference(forward_subsumption_resolution,[],[f77271,f415]) ).
fof(f77353,plain,
( ~ spl55_5
| ~ spl55_8 ),
inference(avatar_contradiction_clause,[],[f77352]) ).
fof(f77515,plain,
( sK49 = app(app(nil,cons(sK51,nil)),sK53)
| ~ spl55_8 ),
inference(superposition,[],[f430,f1378]) ).
fof(f77672,plain,
( sK49 = app(cons(sK51,nil),sK53)
| ~ spl55_8
| ~ spl55_25 ),
inference(forward_demodulation,[],[f77515,f2872]) ).
fof(f79111,plain,
( sK53 = tl(sK49)
| ~ spl55_8
| ~ spl55_25 ),
inference(superposition,[],[f54205,f77672]) ).
fof(f79154,plain,
( nil = sK53
| ~ spl55_1
| ~ spl55_8
| ~ spl55_17
| ~ spl55_25 ),
inference(forward_demodulation,[],[f79111,f11173]) ).
fof(f79168,plain,
( $false
| ~ spl55_1
| ~ spl55_8
| spl55_10
| ~ spl55_17
| ~ spl55_25 ),
inference(forward_subsumption_resolution,[],[f79154,f1415]) ).
fof(f79169,plain,
( ~ spl55_1
| ~ spl55_8
| spl55_10
| ~ spl55_17
| ~ spl55_25 ),
inference(avatar_contradiction_clause,[],[f79168]) ).
cnf(s1,plain,
( spl55_1
| ~ spl55_2 ),
inference(sat_conversion,[],[f471]) ).
cnf(s3,plain,
( spl55_4
| spl55_5 ),
inference(sat_conversion,[],[f485]) ).
cnf(s9,plain,
( ~ spl55_4
| ~ spl55_10 ),
inference(sat_conversion,[],[f1643]) ).
cnf(s12,plain,
spl55_13,
inference(sat_conversion,[],[f2082]) ).
cnf(s13,plain,
( spl55_2
| spl55_10
| ~ spl55_13 ),
inference(sat_conversion,[],[f2277]) ).
cnf(s14,plain,
( spl55_2
| ~ spl55_10
| ~ spl55_13 ),
inference(sat_conversion,[],[f2562]) ).
cnf(s17,plain,
( ~ spl55_1
| spl55_17 ),
inference(sat_conversion,[],[f2732]) ).
cnf(s25,plain,
spl55_25,
inference(sat_conversion,[],[f2865]) ).
cnf(s77,plain,
( spl55_8
| spl55_71 ),
inference(sat_conversion,[],[f63402]) ).
cnf(s86,plain,
( ~ spl55_13
| ~ spl55_25
| ~ spl55_36
| spl55_79 ),
inference(sat_conversion,[],[f66473]) ).
cnf(s95,plain,
( ~ spl55_13
| ~ spl55_25
| spl55_87 ),
inference(sat_conversion,[],[f71084]) ).
cnf(s101,plain,
( ~ spl55_1
| spl55_8
| ~ spl55_13
| ~ spl55_17
| ~ spl55_25
| spl55_36
| ~ spl55_71
| ~ spl55_87 ),
inference(sat_conversion,[],[f76670]) ).
cnf(s102,plain,
( ~ spl55_25
| ~ spl55_35
| ~ spl55_79 ),
inference(sat_conversion,[],[f76899]) ).
cnf(s103,plain,
( ~ spl55_13
| ~ spl55_25
| spl55_35
| ~ spl55_36 ),
inference(sat_conversion,[],[f76905]) ).
cnf(s104,plain,
( ~ spl55_5
| ~ spl55_8 ),
inference(sat_conversion,[],[f77353]) ).
cnf(s108,plain,
( ~ spl55_1
| ~ spl55_8
| spl55_10
| ~ spl55_17
| ~ spl55_25 ),
inference(sat_conversion,[],[f79169]) ).
cnf(s123,plain,
spl55_87,
inference(rat,[],[s95,s25,s12]) ).
cnf(s126,plain,
spl55_2,
inference(rat,[],[s13,s14,s12]) ).
cnf(s127,plain,
spl55_1,
inference(rat,[],[s1,s126]) ).
cnf(s129,plain,
spl55_17,
inference(rat,[],[s17,s127]) ).
cnf(s145,plain,
~ spl55_36,
inference(rat,[],[s102,s103,s86,s25,s12]) ).
cnf(s146,plain,
spl55_8,
inference(rat,[],[s101,s77,s12,s129,s25,s145,s127,s123]) ).
cnf(s147,plain,
spl55_10,
inference(rat,[],[s108,s25,s129,s127,s146]) ).
cnf(s148,plain,
~ spl55_5,
inference(rat,[],[s104,s146]) ).
cnf(s152,plain,
~ spl55_4,
inference(rat,[],[s9,s147]) ).
cnf(s154,plain,
$false,
inference(rat,[],[s3,s148,s152]) ).
fof(f79170,plain,
$false,
inference(avatar_sat_refutation,[],[s154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC285+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n002.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 08:55:07 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 22.43/3.48 % (218165)Will run a generic schedule for satisfiability detection.
% 22.43/3.48 % (218173)dis+10_1_sil=32000:sp=arity:random_seed=317091856:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 22.43/3.48 % (218171)% WARNING: option uhcvi not known.
% 22.43/3.48 % (218170)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=371945220_2999 on theBenchmark for (2999ds/0Mi)
% 22.43/3.48 % (218171)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2737150642:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 22.43/3.48 % (218175)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2651459636:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 22.43/3.48 % (218174)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1278968146:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 22.43/3.48 % (218172)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2802267882:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 22.43/3.48 % (218176)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1247155656:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 22.43/3.48 % TRYING [1]
% 22.43/3.48 % TRYING [2]
% 22.43/3.48 % TRYING [3]
% 22.43/3.48 % (218173)Instruction limit reached!
% 22.43/3.48 % (218173)------------------------------
% 22.43/3.48 % (218173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.43/3.48 % (218173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.43/3.48 % (218173)CaDiCaL version: 2.1.3
% 22.43/3.48 % (218173)Termination reason: Instruction limit
% 22.43/3.48 % (218173)Termination phase: Saturation
% 22.43/3.48 % (218173)Time elapsed: 0.033 s
% 22.43/3.48 % (218173)Peak memory usage: 13 MB
% 22.43/3.48 % (218173)Instructions burned: 104 (million)
% 22.43/3.48 % (218184)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3811259190:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 22.43/3.48 % TRYING [4]
% 22.43/3.48 % TRYING [1]
% 22.43/3.48 % TRYING [2]
% 22.43/3.48 % TRYING [3]
% 22.43/3.48 % TRYING [4]
% 22.43/3.48 % (218174)Instruction limit reached!
% 22.43/3.48 % (218174)------------------------------
% 22.43/3.48 % (218174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.43/3.48 % (218174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.43/3.48 % (218174)CaDiCaL version: 2.1.3
% 22.43/3.48 % (218174)Termination reason: Instruction limit
% 22.43/3.48 % (218174)Termination phase: Saturation
% 22.43/3.48 % (218174)Time elapsed: 0.069 s
% 22.43/3.48 % (218174)Peak memory usage: 13 MB
% 22.43/3.48 % (218174)Instructions burned: 117 (million)
% 22.43/3.48 % (218175)Instruction limit reached!
% 22.43/3.48 % (218175)------------------------------
% 22.43/3.48 % (218175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.43/3.48 % (218175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.43/3.48 % (218175)CaDiCaL version: 2.1.3
% 22.43/3.48 % (218175)Termination reason: Instruction limit
% 22.43/3.48 % (218175)Termination phase: Saturation
% 22.43/3.48 % (218175)Time elapsed: 0.076 s
% 22.43/3.48 % (218175)Peak memory usage: 14 MB
% 22.43/3.48 % (218175)Instructions burned: 131 (million)
% 22.43/3.48 % TRYING [5]
% 22.43/3.48 % (218186)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1855865368:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 22.43/3.48 % TRYING [5]
% 22.43/3.48 % (218187)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=1169880225:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 22.43/3.48 % (218176)Instruction limit reached!
% 22.43/3.48 % (218176)------------------------------
% 22.43/3.48 % (218176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.43/3.48 % (218176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.43/3.48 % (218176)CaDiCaL version: 2.1.3
% 22.43/3.48 % (218176)Termination reason: Instruction limit
% 22.43/3.48 % (218176)Termination phase: Saturation
% 22.43/3.48 % (218176)Time elapsed: 0.103 s
% 22.43/3.48 % (218176)Peak memory usage: 15 MB
% 22.43/3.48 % (218176)Instructions burned: 160 (million)
% 22.43/3.48 % (218190)ott-21_1_sil=16000:fs=off:random_seed=3919599426:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 22.43/3.48 % (218186)Instruction limit reached!
% 22.43/3.48 % (218186)------------------------------
% 22.43/3.48 % (218186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.43/3.48 % (218186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/3.54 % (218186)CaDiCaL version: 2.1.3
% 6.95/3.54 % (218186)Termination reason: Instruction limit
% 6.95/3.54 % (218186)Termination phase: Saturation
% 6.95/3.54 % (218186)Time elapsed: 0.070 s
% 6.95/3.54 % (218186)Peak memory usage: 13 MB
% 6.95/3.54 % (218186)Instructions burned: 133 (million)
% 6.95/3.54 % TRYING [6]
% 6.95/3.54 % (218192)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3242960843:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.95/3.54 % (218184)Instruction limit reached!
% 6.95/3.54 % (218184)------------------------------
% 6.95/3.54 % (218184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/3.54 % (218184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/3.54 % (218184)CaDiCaL version: 2.1.3
% 6.95/3.54 % (218184)Termination reason: Instruction limit
% 6.95/3.54 % (218184)Termination phase: Finite model building constraint generation
% 6.95/3.54 % (218184)Time elapsed: 0.156 s
% 6.95/3.54 % (218184)Peak memory usage: 27 MB
% 6.95/3.54 % (218184)Instructions burned: 717 (million)
% 6.95/3.54 % (218194)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1912237431:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.95/3.54 % TRYING [1]
% 6.95/3.54 % TRYING [2]
% 6.95/3.54 % (218190)Instruction limit reached!
% 6.95/3.54 % (218190)------------------------------
% 6.95/3.54 % (218190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/3.54 % (218190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/3.54 % (218190)CaDiCaL version: 2.1.3
% 6.95/3.54 % (218190)Termination reason: Instruction limit
% 6.95/3.54 % (218190)Termination phase: Saturation
% 6.95/3.54 % (218190)Time elapsed: 0.090 s
% 6.95/3.54 % (218190)Peak memory usage: 13 MB
% 6.95/3.54 % (218190)Instructions burned: 180 (million)
% 6.95/3.54 % TRYING [6]
% 6.95/3.54 % TRYING [3]
% 6.95/3.54 % (218196)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1983702501:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 6.95/3.54 % TRYING [4]
% 6.95/3.54 % TRYING [5]
% 6.95/3.54 % (218194)Instruction limit reached!
% 6.95/3.54 % (218194)------------------------------
% 6.95/3.54 % (218194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/3.54 % (218194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/3.54 % (218194)CaDiCaL version: 2.1.3
% 6.95/3.54 % (218194)Termination reason: Instruction limit
% 6.95/3.54 % (218194)Termination phase: Finite model building SAT solving
% 6.95/3.54 % (218194)Time elapsed: 0.181 s
% 6.95/3.54 % (218194)Peak memory usage: 23 MB
% 6.95/3.54 % (218194)Instructions burned: 867 (million)
% 6.95/3.54 % (218198)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2862368899:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 6.95/3.54 % TRYING [14]
% 6.95/3.54 % (218187)Instruction limit reached!
% 6.95/3.54 % (218187)------------------------------
% 6.95/3.54 % (218187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/3.54 % (218187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/3.54 % (218187)CaDiCaL version: 2.1.3
% 6.95/3.54 % (218187)Termination reason: Instruction limit
% 6.95/3.54 % (218187)Termination phase: Saturation
% 6.95/3.54 % (218187)Time elapsed: 0.370 s
% 6.95/3.54 % (218187)Peak memory usage: 23 MB
% 6.95/3.54 % (218187)Instructions burned: 685 (million)
% 6.95/3.54 % (218200)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=621723977:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 6.95/3.54 % TRYING [7]
% 6.95/3.54 % (218192)Instruction limit reached!
% 6.95/3.54 % (218192)------------------------------
% 6.95/3.54 % (218192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/3.54 % (218192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/3.54 % (218192)CaDiCaL version: 2.1.3
% 6.95/3.54 % (218192)Termination reason: Instruction limit
% 6.95/3.54 % (218192)Termination phase: Saturation
% 6.95/3.54 % (218192)Time elapsed: 0.324 s
% 6.95/3.54 % (218192)Peak memory usage: 14 MB
% 6.95/3.54 % (218192)Instructions burned: 478 (million)
% 6.95/3.54 % (218202)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3822422837:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 6.95/3.54 % (218198)Instruction limit reached!
% 6.95/3.54 % (218198)------------------------------
% 6.95/3.54 % (218198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/3.54 % (218198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/3.54 % (218198)CaDiCaL version: 2.1.3
% 6.95/3.54 % (218198)Termination reason: Instruction limit
% 6.95/3.54 % (218198)Termination phase: Finite model building constraint generation
% 6.95/3.54 % (218198)Time elapsed: 0.179 s
% 6.95/3.54 % (218198)Peak memory usage: 70 MB
% 6.95/3.54 % (218198)Instructions burned: 892 (million)
% 6.95/3.54 % (218204)fmb+10_1_sil=64000:random_seed=2510843281:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 6.95/3.54 % TRYING [1]
% 6.95/3.54 % TRYING [2]
% 6.95/3.54 % TRYING [3]
% 6.95/3.54 % TRYING [4]
% 6.95/3.54 % TRYING [5]
% 6.95/3.54 % (218200)Instruction limit reached!
% 6.95/3.54 % (218200)------------------------------
% 6.95/3.54 % (218200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/3.54 % (218200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/3.54 % (218200)CaDiCaL version: 2.1.3
% 6.95/3.54 % (218200)Termination reason: Instruction limit
% 6.95/3.54 % (218200)Termination phase: Saturation
% 6.95/3.54 % (218200)Time elapsed: 0.366 s
% 6.95/3.54 % (218200)Peak memory usage: 22 MB
% 6.95/3.54 % (218200)Instructions burned: 692 (million)
% 6.95/3.54 % TRYING [6]
% 6.95/3.54 % (218206)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3900660996:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 6.95/3.54 % (218196)Instruction limit reached!
% 6.95/3.54 % (218196)------------------------------
% 6.95/3.54 % (218196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/3.54 % (218196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/3.54 % (218196)CaDiCaL version: 2.1.3
% 6.95/3.54 % (218196)Termination reason: Instruction limit
% 6.95/3.54 % (218196)Termination phase: Saturation
% 6.95/3.54 % (218196)Time elapsed: 0.649 s
% 6.95/3.54 % (218196)Peak memory usage: 26 MB
% 6.95/3.54 % (218196)Instructions burned: 1179 (million)
% 6.95/3.54 % TRYING [20]
% 6.95/3.54 % (218208)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4105353482:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 6.95/3.54 % TRYING [8]
% 6.95/3.54 % (218202)Instruction limit reached!
% 6.95/3.54 % (218202)------------------------------
% 6.95/3.54 % (218202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/3.54 % (218202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/3.54 % (218202)CaDiCaL version: 2.1.3
% 6.95/3.54 % (218202)Termination reason: Instruction limit
% 6.95/3.54 % (218202)Termination phase: Saturation
% 6.95/3.54 % (218202)Time elapsed: 0.472 s
% 6.95/3.54 % (218202)Peak memory usage: 20 MB
% 6.95/3.54 % (218202)Instructions burned: 881 (million)
% 6.95/3.54 % (218210)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3581543098:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 6.95/3.54 % TRYING [8]
% 6.95/3.54 % (218208)Instruction limit reached!
% 6.95/3.54 % (218208)------------------------------
% 6.95/3.54 % (218208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/3.54 % (218208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/3.54 % (218208)CaDiCaL version: 2.1.3
% 6.95/3.54 % (218208)Termination reason: Instruction limit
% 6.95/3.54 % (218208)Termination phase: Finite model building constraint generation
% 6.95/3.54 % (218208)Time elapsed: 0.337 s
% 6.95/3.54 % (218208)Peak memory usage: 70 MB
% 6.95/3.54 % (218208)Instructions burned: 920 (million)
% 6.95/3.54 % TRYING [7]
% 6.95/3.54 % (218212)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=153463427:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 6.95/3.54 % (218212)Instruction limit reached!
% 6.95/3.54 % (218212)------------------------------
% 6.95/3.54 % (218212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/3.54 % (218212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/3.54 % (218212)CaDiCaL version: 2.1.3
% 6.95/3.54 % (218212)Termination reason: Instruction limit
% 6.95/3.54 % (218212)Termination phase: Saturation
% 6.95/3.54 % (218212)Time elapsed: 0.654 s
% 6.95/3.54 % (218212)Peak memory usage: 16 MB
% 6.95/3.54 % (218212)Instructions burned: 1473 (million)
% 6.95/3.54 % (218214)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1564612072:i=6324_2980 on theBenchmark for (2980ds/6324Mi)
% 6.95/3.54 % TRYING [77]
% 6.95/3.54 % TRYING [8]
% 6.95/3.54 % (218210) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-218165-218210"...
% 6.95/3.54 % (218210)...printing done.
% 6.95/3.54 % (218210)Refutation found. Thanks to Tanya!
% 6.95/3.54 % SZS status Theorem for theBenchmark
% 6.95/3.54 % SZS output start Proof for theBenchmark
% See solution above
% 6.95/3.55 % (218210)------------------------------
% 6.95/3.55 % (218210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.95/3.55 % (218210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.95/3.55 % (218210)CaDiCaL version: 2.1.3
% 6.95/3.55 % (218210)Termination reason: Refutation
% 6.95/3.55 % (218210)Time elapsed: 2.188 s
% 6.95/3.55 % (218210)Peak memory usage: 47 MB
% 6.95/3.55 % (218210)Instructions burned: 4079 (million)
% 6.95/3.55 % (218165)Success in time 3.317 s
% 6.95/3.55 % Vampire exiting
%------------------------------------------------------------------------------