%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC295+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 01:03:20 PM UTC 2026
% Result : Theorem 6.29s 1.91s
% Output : Refutation 9.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 33
% Syntax : Number of formulae : 262 ( 36 unt; 17 def)
% Number of atoms : 1120 ( 189 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 1542 ( 684 ~; 671 |; 112 &)
% ( 24 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 14 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 14 con; 0-2 aty)
% Number of variables : 250 ( 0 sgn 212 !; 38 ?)
% 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/theBenchmark.p',ax3) ).
fof(f13,axiom,
! [X0] :
( ssList(X0)
=> ( duplicatefreeP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> X1 != X2 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f71,axiom,
! [X0] :
( ssItem(X0)
=> duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax71) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X5,cons(X4,nil)),X6) != X0
| ! [X7] :
( ssItem(X7)
=> ( ( ~ memberP(X5,X7)
| lt(X7,X4) )
& ( ~ memberP(X6,X7)
| lt(X4,X7) ) ) ) ) ) ) )
| ( ! [X8] :
( ssItem(X8)
=> ( cons(X8,nil) != X2
| ~ memberP(X3,X8)
| ? [X9] :
( ssItem(X9)
& X8 != X9
& memberP(X3,X9)
& leq(X8,X9) ) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(app(X5,cons(X4,nil)),X6) != X0
| ! [X7] :
( ssItem(X7)
=> ( ( ~ memberP(X5,X7)
| lt(X7,X4) )
& ( ~ memberP(X6,X7)
| lt(X4,X7) ) ) ) ) ) ) )
| ( ! [X8] :
( ssItem(X8)
=> ( cons(X8,nil) != X2
| ~ memberP(X3,X8)
| ? [X9] :
( ssItem(X9)
& X8 != X9
& memberP(X3,X9)
& leq(X8,X9) ) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
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(f114,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f115,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f114]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
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(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(f184,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f71]) ).
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(f204,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f204]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ? [X7] :
( ( ( memberP(X5,X7)
& ~ lt(X7,X4) )
| ( memberP(X6,X7)
& ~ lt(X4,X7) ) )
& ssItem(X7) )
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& ( ? [X8] :
( cons(X8,nil) = X2
& memberP(X3,X8)
& ! [X9] :
( ~ ssItem(X9)
| X8 = X9
| ~ memberP(X3,X9)
| ~ leq(X8,X9) )
& ssItem(X8) )
| ( nil = X3
& nil = X2 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ? [X7] :
( ( ( memberP(X5,X7)
& ~ lt(X7,X4) )
| ( memberP(X6,X7)
& ~ lt(X4,X7) ) )
& ssItem(X7) )
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& ( ? [X8] :
( cons(X8,nil) = X2
& memberP(X3,X8)
& ! [X9] :
( ~ ssItem(X9)
| X8 = X9
| ~ memberP(X3,X9)
| ~ leq(X8,X9) )
& ssItem(X8) )
| ( nil = X3
& nil = X2 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f234,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f99]) ).
fof(f235,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(X4,cons(X1,X5)) = X0 ) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f234]) ).
fof(f236,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0 ) ) )
& ( ( ssList(sK8(X0,X1))
& ssList(sK9(X0,X1))
& app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0 )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X4,sK8(X0,X1)),skolemize(X5,sK9(X0,X1))],[f235]) ).
fof(f267,plain,
! [X0] :
( ( ( duplicatefreeP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ duplicatefreeP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f115]) ).
fof(f268,plain,
! [X0] :
( ( ( duplicatefreeP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ duplicatefreeP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f267]) ).
fof(f269,plain,
! [X0] :
( ( ( duplicatefreeP(X0)
| ( sK40(X0) = sK41(X0)
& app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),sK44(X0))) = X0
& ssList(sK44(X0))
& ssList(sK43(X0))
& ssList(sK42(X0))
& ssItem(sK41(X0))
& ssItem(sK40(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ duplicatefreeP(X0) ) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40,sK41,sK42,sK43,sK44]),skolemize(X1,sK40(X0)),skolemize(X2,sK41(X0)),skolemize(X3,sK42(X0)),skolemize(X4,sK43(X0)),skolemize(X5,sK44(X0))],[f268]) ).
fof(f277,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f146]) ).
fof(f278,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f277]) ).
fof(f279,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) )
& ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f147]) ).
fof(f280,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) )
& ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f279]) ).
fof(f292,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X1
| nil != X0 )
& ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f200]) ).
fof(f293,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X1
| nil != X0 )
& ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f292]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& sK53 = app(app(sK58,cons(sK57,nil)),sK59)
& ( ( memberP(sK58,sK60)
& ~ lt(sK60,sK57) )
| ( memberP(sK59,sK60)
& ~ lt(sK57,sK60) ) )
& ssItem(sK60)
& ssList(sK59)
& ssList(sK58)
& ssItem(sK57)
& ( ( sK55 = cons(sK61,nil)
& memberP(sK56,sK61)
& ! [X9] :
( ~ ssItem(X9)
| sK61 = X9
| ~ memberP(sK56,X9)
| ~ leq(sK61,X9) )
& ssItem(sK61) )
| ( nil = sK56
& nil = sK55 ) )
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X4,sK57),skolemize(X5,sK58),skolemize(X6,sK59),skolemize(X7,sK60),skolemize(X8,sK61)],[f222]) ).
fof(f302,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f303,plain,
! [X0,X1] :
( ssList(sK9(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f304,plain,
! [X0,X1] :
( ssList(sK8(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f305,plain,
! [X2,X3,X0,X1] :
( memberP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(X2,cons(X1,X3)) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f371,plain,
! [X10,X0,X8,X6,X9,X7] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f269]) ).
fof(f388,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f389,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f396,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f399,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f400,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f401,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f415,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f416,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f419,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f465,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f479,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f480,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f482,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f484,plain,
! [X0,X1] :
( ~ ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f500,plain,
( ssItem(sK61)
| nil = sK55 ),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
( sK55 = cons(sK61,nil)
| nil = sK55 ),
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
ssItem(sK57),
inference(cnf_transformation,[],[f296]) ).
fof(f509,plain,
ssList(sK58),
inference(cnf_transformation,[],[f296]) ).
fof(f510,plain,
ssList(sK59),
inference(cnf_transformation,[],[f296]) ).
fof(f511,plain,
ssItem(sK60),
inference(cnf_transformation,[],[f296]) ).
fof(f515,plain,
( memberP(sK58,sK60)
| memberP(sK59,sK60) ),
inference(cnf_transformation,[],[f296]) ).
fof(f516,plain,
sK53 = app(app(sK58,cons(sK57,nil)),sK59),
inference(cnf_transformation,[],[f296]) ).
fof(f517,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f519,plain,
sK55 = app(app(sK58,cons(sK57,nil)),sK59),
inference(definition_unfolding,[],[f516,f517]) ).
fof(f523,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f305]) ).
fof(f533,plain,
! [X10,X0,X8,X9,X7] :
( app(app(X8,cons(X7,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X7)
| ~ duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(equality_resolution,[],[f371]) ).
fof(f534,plain,
! [X10,X8,X9,X7] :
( ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X7)
| ~ duplicatefreeP(app(app(X8,cons(X7,X9)),cons(X7,X10)))
| ~ ssList(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f533]) ).
fof(f549,definition,
sF62 = cons(sK57,nil),
introduced(definition,[new_symbols(definition,[sF62])],[function_definition]) ).
fof(f550,plain,
cons(sK57,nil) = sF62,
inference(reorient_equations,[],[f549]) ).
fof(f551,definition,
sF63 = app(sK58,sF62),
introduced(definition,[new_symbols(definition,[sF63])],[function_definition]) ).
fof(f552,plain,
app(sK58,sF62) = sF63,
inference(reorient_equations,[],[f551]) ).
fof(f553,definition,
sF64 = app(sF63,sK59),
introduced(definition,[new_symbols(definition,[sF64])],[function_definition]) ).
fof(f554,plain,
app(sF63,sK59) = sF64,
inference(reorient_equations,[],[f553]) ).
fof(f555,plain,
sK55 = sF64,
inference(definition_folding,[],[f519,f554,f552,f550]) ).
fof(f556,definition,
sF65 = cons(sK61,nil),
introduced(definition,[new_symbols(definition,[sF65])],[function_definition]) ).
fof(f557,plain,
cons(sK61,nil) = sF65,
inference(reorient_equations,[],[f556]) ).
fof(f559,plain,
( sK55 = sF65
| nil = sK55 ),
inference(definition_folding,[],[f506,f557]) ).
fof(f565,plain,
! [X10,X8,X9,X7] :
( ~ duplicatefreeP(app(app(X8,cons(X7,X9)),cons(X7,X10)))
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssList(X10)
| ~ ssList(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
inference(duplicate_literal_removal,[],[f534]) ).
fof(f568,definition,
( spl66_1
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl66_1])],[avatar_definition]) ).
fof(f570,plain,
( nil = sK55
| ~ spl66_1 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f572,definition,
( spl66_2
<=> ssItem(sK61) ),
introduced(definition,[new_symbols(definition,[spl66_2])],[avatar_definition]) ).
fof(f574,plain,
( ssItem(sK61)
| ~ spl66_2 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f575,plain,
( spl66_1
| spl66_2 ),
inference(avatar_split_clause,[],[f500,f572,f568]) ).
fof(f593,definition,
( spl66_6
<=> sK55 = sF65 ),
introduced(definition,[new_symbols(definition,[spl66_6])],[avatar_definition]) ).
fof(f595,plain,
( sK55 = sF65
| ~ spl66_6 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f596,plain,
( spl66_1
| spl66_6 ),
inference(avatar_split_clause,[],[f559,f593,f568]) ).
fof(f608,definition,
( spl66_9
<=> memberP(sK59,sK60) ),
introduced(definition,[new_symbols(definition,[spl66_9])],[avatar_definition]) ).
fof(f610,plain,
( memberP(sK59,sK60)
| ~ spl66_9 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f613,definition,
( spl66_10
<=> memberP(sK58,sK60) ),
introduced(definition,[new_symbols(definition,[spl66_10])],[avatar_definition]) ).
fof(f615,plain,
( memberP(sK58,sK60)
| ~ spl66_10 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f617,plain,
( spl66_9
| spl66_10 ),
inference(avatar_split_clause,[],[f515,f613,f608]) ).
fof(f619,definition,
( spl66_11
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl66_11])],[avatar_definition]) ).
fof(f620,plain,
( ssList(nil)
| ~ spl66_11 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f647,plain,
spl66_11,
inference(avatar_split_clause,[],[f389,f619]) ).
fof(f650,plain,
sK55 = app(sF63,sK59),
inference(forward_demodulation,[],[f554,f555]) ).
fof(f652,plain,
! [X0] :
( ~ memberP(sF65,X0)
| memberP(nil,X0)
| sK61 = X0
| ~ ssList(nil)
| ~ ssItem(sK61)
| ~ ssItem(X0) ),
inference(superposition,[],[f416,f557]) ).
fof(f653,plain,
( ! [X0] :
( ~ memberP(sF65,X0)
| memberP(nil,X0)
| sK61 = X0
| ~ ssItem(sK61)
| ~ ssItem(X0) )
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f652,f620]) ).
fof(f655,plain,
( ! [X0] :
( ~ memberP(sF65,X0)
| memberP(nil,X0)
| sK61 = X0
| ~ ssItem(X0) )
| ~ spl66_2
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f653,f574]) ).
fof(f657,plain,
( ! [X0] :
( ~ memberP(sF65,X0)
| sK61 = X0
| ~ ssItem(X0) )
| ~ spl66_2
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f655,f419]) ).
fof(f659,plain,
( ! [X0] :
( ~ memberP(sK55,X0)
| sK61 = X0
| ~ ssItem(X0) )
| ~ spl66_2
| ~ spl66_6
| ~ spl66_11 ),
inference(forward_demodulation,[],[f657,f595]) ).
fof(f660,plain,
! [X0] :
( memberP(app(X0,sF62),sK57)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(X0,sF62)) ),
inference(superposition,[],[f523,f550]) ).
fof(f663,plain,
( ! [X0] :
( memberP(app(X0,sF62),sK57)
| ~ ssList(X0)
| ~ ssItem(sK57)
| ~ ssList(app(X0,sF62)) )
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f660,f620]) ).
fof(f665,plain,
( ! [X0] :
( memberP(app(X0,sF62),sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,sF62)) )
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f663,f508]) ).
fof(f673,definition,
( spl66_17
<=> ssList(sF63) ),
introduced(definition,[new_symbols(definition,[spl66_17])],[avatar_definition]) ).
fof(f674,plain,
( ssList(sF63)
| ~ spl66_17 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f675,plain,
( ~ ssList(sF63)
| spl66_17 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f681,definition,
( spl66_19
<=> ssList(sF62) ),
introduced(definition,[new_symbols(definition,[spl66_19])],[avatar_definition]) ).
fof(f682,plain,
( ssList(sF62)
| ~ spl66_19 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f683,plain,
( ~ ssList(sF62)
| spl66_19 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f688,plain,
! [X0] :
( memberP(sF63,X0)
| ~ memberP(sK58,X0)
| ~ ssList(sF62)
| ~ ssList(sK58)
| ~ ssItem(X0) ),
inference(superposition,[],[f415,f552]) ).
fof(f689,plain,
! [X0] :
( memberP(sK55,X0)
| ~ memberP(sF63,X0)
| ~ ssList(sK59)
| ~ ssList(sF63)
| ~ ssItem(X0) ),
inference(superposition,[],[f415,f650]) ).
fof(f694,plain,
( ssList(sF62)
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f388,f550]) ).
fof(f697,plain,
( ~ ssItem(sK57)
| ~ ssList(nil)
| spl66_19 ),
inference(forward_subsumption_resolution,[],[f694,f683]) ).
fof(f699,plain,
( ~ ssList(nil)
| spl66_19 ),
inference(forward_subsumption_resolution,[],[f697,f508]) ).
fof(f701,plain,
( $false
| ~ spl66_11
| spl66_19 ),
inference(forward_subsumption_resolution,[],[f699,f620]) ).
fof(f702,plain,
( ~ spl66_11
| spl66_19 ),
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f703,plain,
( ! [X0] :
( memberP(sF63,X0)
| ~ memberP(sK58,X0)
| ~ ssList(sK58)
| ~ ssItem(X0) )
| ~ spl66_19 ),
inference(forward_subsumption_resolution,[],[f688,f682]) ).
fof(f704,plain,
( ! [X0] :
( ~ memberP(sK58,X0)
| memberP(sF63,X0)
| ~ ssItem(X0) )
| ~ spl66_19 ),
inference(forward_subsumption_resolution,[],[f703,f509]) ).
fof(f706,plain,
( memberP(sF63,sK57)
| ~ ssList(sK58)
| ~ ssList(sF63)
| ~ spl66_11 ),
inference(superposition,[],[f665,f552]) ).
fof(f708,plain,
( nil != sF62
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f396,f550]) ).
fof(f711,plain,
( nil != sF62
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f708,f508]) ).
fof(f713,plain,
( nil != sF62
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f711,f620]) ).
fof(f717,plain,
( ssList(sF63)
| ~ ssList(sF62)
| ~ ssList(sK58) ),
inference(superposition,[],[f401,f552]) ).
fof(f719,plain,
( ~ ssList(sF62)
| ~ ssList(sK58)
| spl66_17 ),
inference(forward_subsumption_resolution,[],[f717,f675]) ).
fof(f720,plain,
( ~ ssList(sK58)
| spl66_17
| ~ spl66_19 ),
inference(forward_subsumption_resolution,[],[f719,f682]) ).
fof(f721,plain,
( $false
| spl66_17
| ~ spl66_19 ),
inference(forward_subsumption_resolution,[],[f720,f509]) ).
fof(f722,plain,
( spl66_17
| ~ spl66_19 ),
inference(avatar_contradiction_clause,[],[f721]) ).
fof(f723,plain,
! [X0] :
( memberP(sK55,X0)
| ~ memberP(sF63,X0)
| ~ ssList(sF63)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f689,f510]) ).
fof(f724,plain,
( memberP(sF63,sK57)
| ~ ssList(sF63)
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f706,f509]) ).
fof(f725,plain,
( ! [X0] :
( ~ memberP(sF63,X0)
| memberP(sK55,X0)
| ~ ssItem(X0) )
| ~ spl66_17 ),
inference(forward_subsumption_resolution,[],[f723,f674]) ).
fof(f726,plain,
( memberP(sF63,sK57)
| ~ spl66_11
| ~ spl66_17 ),
inference(forward_subsumption_resolution,[],[f724,f674]) ).
fof(f727,plain,
( sF63 = app(sF63,nil)
| ~ spl66_17 ),
inference(resolution,[],[f674,f482]) ).
fof(f746,plain,
( memberP(sK55,sK57)
| ~ ssItem(sK57)
| ~ spl66_11
| ~ spl66_17 ),
inference(resolution,[],[f725,f726]) ).
fof(f747,plain,
( memberP(sK55,sK57)
| ~ spl66_11
| ~ spl66_17 ),
inference(forward_subsumption_resolution,[],[f746,f508]) ).
fof(f749,plain,
( sK57 = sK61
| ~ ssItem(sK57)
| ~ spl66_2
| ~ spl66_6
| ~ spl66_11
| ~ spl66_17 ),
inference(resolution,[],[f747,f659]) ).
fof(f750,plain,
( sK57 = sK61
| ~ spl66_2
| ~ spl66_6
| ~ spl66_11
| ~ spl66_17 ),
inference(forward_subsumption_resolution,[],[f749,f508]) ).
fof(f776,plain,
( nil != sF63
| nil = sF62
| ~ ssList(sF62)
| ~ ssList(sK58) ),
inference(superposition,[],[f480,f552]) ).
fof(f778,plain,
( nil != sF63
| ~ ssList(sF62)
| ~ ssList(sK58)
| ~ spl66_11 ),
inference(forward_subsumption_resolution,[],[f776,f713]) ).
fof(f779,plain,
( nil != sF63
| ~ ssList(sK58)
| ~ spl66_11
| ~ spl66_19 ),
inference(forward_subsumption_resolution,[],[f778,f682]) ).
fof(f780,plain,
( nil != sF63
| ~ spl66_11
| ~ spl66_19 ),
inference(forward_subsumption_resolution,[],[f779,f509]) ).
fof(f782,plain,
( nil != sK55
| nil = sF63
| ~ ssList(sK59)
| ~ ssList(sF63) ),
inference(superposition,[],[f479,f650]) ).
fof(f837,plain,
( duplicatefreeP(sF62)
| ~ ssItem(sK57) ),
inference(superposition,[],[f465,f550]) ).
fof(f842,plain,
duplicatefreeP(sF62),
inference(forward_subsumption_resolution,[],[f837,f508]) ).
fof(f920,definition,
( spl66_26
<=> nil = sK59 ),
introduced(definition,[new_symbols(definition,[spl66_26])],[avatar_definition]) ).
fof(f921,plain,
( nil = sK59
| ~ spl66_26 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f922,plain,
( nil != sK59
| spl66_26 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f941,plain,
( memberP(sF63,sK60)
| ~ ssItem(sK60)
| ~ spl66_10
| ~ spl66_19 ),
inference(resolution,[],[f615,f704]) ).
fof(f942,plain,
( sK58 = app(sK8(sK58,sK60),cons(sK60,sK9(sK58,sK60)))
| ~ ssItem(sK60)
| ~ ssList(sK58)
| ~ spl66_10 ),
inference(resolution,[],[f615,f302]) ).
fof(f943,plain,
( sK58 = app(sK8(sK58,sK60),cons(sK60,sK9(sK58,sK60)))
| ~ ssList(sK58)
| ~ spl66_10 ),
inference(forward_subsumption_resolution,[],[f942,f511]) ).
fof(f944,plain,
( memberP(sF63,sK60)
| ~ spl66_10
| ~ spl66_19 ),
inference(forward_subsumption_resolution,[],[f941,f511]) ).
fof(f945,plain,
( sK58 = app(sK8(sK58,sK60),cons(sK60,sK9(sK58,sK60)))
| ~ spl66_10 ),
inference(forward_subsumption_resolution,[],[f943,f509]) ).
fof(f946,plain,
( memberP(sK55,sK60)
| ~ ssItem(sK60)
| ~ spl66_10
| ~ spl66_17
| ~ spl66_19 ),
inference(resolution,[],[f944,f725]) ).
fof(f949,plain,
( memberP(sK55,sK60)
| ~ spl66_10
| ~ spl66_17
| ~ spl66_19 ),
inference(forward_subsumption_resolution,[],[f946,f511]) ).
fof(f952,plain,
( cons(sK61,nil) = sF62
| ~ spl66_2
| ~ spl66_6
| ~ spl66_11
| ~ spl66_17 ),
inference(superposition,[],[f550,f750]) ).
fof(f957,plain,
( sF62 = sF65
| ~ spl66_2
| ~ spl66_6
| ~ spl66_11
| ~ spl66_17 ),
inference(forward_demodulation,[],[f952,f557]) ).
fof(f958,plain,
( sK55 = sF62
| ~ spl66_2
| ~ spl66_6
| ~ spl66_11
| ~ spl66_17 ),
inference(forward_demodulation,[],[f957,f595]) ).
fof(f959,plain,
( sK60 = sK61
| ~ ssItem(sK60)
| ~ spl66_2
| ~ spl66_6
| ~ spl66_10
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19 ),
inference(resolution,[],[f949,f659]) ).
fof(f962,plain,
( sK60 = sK61
| ~ spl66_2
| ~ spl66_6
| ~ spl66_10
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19 ),
inference(forward_subsumption_resolution,[],[f959,f511]) ).
fof(f1003,definition,
( spl66_28
<=> ssList(sK8(sK58,sK60)) ),
introduced(definition,[new_symbols(definition,[spl66_28])],[avatar_definition]) ).
fof(f1004,plain,
( ssList(sK8(sK58,sK60))
| ~ spl66_28 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1005,plain,
( ~ ssList(sK8(sK58,sK60))
| spl66_28 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1032,plain,
( ~ memberP(sK58,sK60)
| ~ ssItem(sK60)
| ~ ssList(sK58)
| spl66_28 ),
inference(resolution,[],[f1005,f304]) ).
fof(f1033,plain,
( ~ ssItem(sK60)
| ~ ssList(sK58)
| ~ spl66_10
| spl66_28 ),
inference(forward_subsumption_resolution,[],[f1032,f615]) ).
fof(f1034,plain,
( ~ ssList(sK58)
| ~ spl66_10
| spl66_28 ),
inference(forward_subsumption_resolution,[],[f1033,f511]) ).
fof(f1035,plain,
( $false
| ~ spl66_10
| spl66_28 ),
inference(forward_subsumption_resolution,[],[f1034,f509]) ).
fof(f1036,plain,
( ~ spl66_10
| spl66_28 ),
inference(avatar_contradiction_clause,[],[f1035]) ).
fof(f1117,plain,
! [X0] :
( ~ ssList(X0)
| tl(app(X0,sK59)) = app(tl(X0),sK59)
| nil = X0 ),
inference(resolution,[],[f484,f510]) ).
fof(f1175,plain,
( sK55 = app(sF63,nil)
| ~ spl66_26 ),
inference(superposition,[],[f650,f921]) ).
fof(f1176,plain,
( sK55 = sF63
| ~ spl66_17
| ~ spl66_26 ),
inference(forward_demodulation,[],[f1175,f727]) ).
fof(f1179,plain,
( sF62 = sF63
| ~ spl66_2
| ~ spl66_6
| ~ spl66_11
| ~ spl66_17
| ~ spl66_26 ),
inference(forward_demodulation,[],[f1176,f958]) ).
fof(f1186,plain,
( nil = sF63
| ~ ssList(sK59)
| ~ ssList(sF63)
| ~ spl66_1 ),
inference(forward_subsumption_resolution,[],[f782,f570]) ).
fof(f1189,plain,
( ~ ssList(sK59)
| ~ ssList(sF63)
| ~ spl66_1
| ~ spl66_11
| ~ spl66_19 ),
inference(forward_subsumption_resolution,[],[f1186,f780]) ).
fof(f1190,plain,
( ~ ssList(sF63)
| ~ spl66_1
| ~ spl66_11
| ~ spl66_19 ),
inference(forward_subsumption_resolution,[],[f1189,f510]) ).
fof(f1191,plain,
( $false
| ~ spl66_1
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19 ),
inference(forward_subsumption_resolution,[],[f1190,f674]) ).
fof(f1192,plain,
( ~ spl66_1
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19 ),
inference(avatar_contradiction_clause,[],[f1191]) ).
fof(f1205,plain,
( memberP(nil,sK60)
| ~ spl66_9
| ~ spl66_26 ),
inference(forward_demodulation,[],[f610,f921]) ).
fof(f1252,plain,
( ~ ssItem(sK60)
| ~ spl66_9
| ~ spl66_26 ),
inference(resolution,[],[f1205,f419]) ).
fof(f1255,plain,
( $false
| ~ spl66_9
| ~ spl66_26 ),
inference(forward_subsumption_resolution,[],[f1252,f511]) ).
fof(f1256,plain,
( ~ spl66_9
| ~ spl66_26 ),
inference(avatar_contradiction_clause,[],[f1255]) ).
fof(f1261,plain,
( sK57 = sK60
| ~ spl66_2
| ~ spl66_6
| ~ spl66_10
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19 ),
inference(forward_demodulation,[],[f750,f962]) ).
fof(f1274,plain,
( sF62 = cons(sK60,nil)
| ~ spl66_2
| ~ spl66_6
| ~ spl66_10
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19 ),
inference(superposition,[],[f550,f1261]) ).
fof(f1401,definition,
( spl66_44
<=> nil = tl(sF62) ),
introduced(definition,[new_symbols(definition,[spl66_44])],[avatar_definition]) ).
fof(f1426,definition,
( spl66_46
<=> ssList(sK9(sK58,sK60)) ),
introduced(definition,[new_symbols(definition,[spl66_46])],[avatar_definition]) ).
fof(f1427,plain,
( ssList(sK9(sK58,sK60))
| ~ spl66_46 ),
inference(avatar_component_clause,[],[f1426]) ).
fof(f1428,plain,
( ~ ssList(sK9(sK58,sK60))
| spl66_46 ),
inference(avatar_component_clause,[],[f1426]) ).
fof(f1463,plain,
( ~ memberP(sK58,sK60)
| ~ ssItem(sK60)
| ~ ssList(sK58)
| spl66_46 ),
inference(resolution,[],[f1428,f303]) ).
fof(f1464,plain,
( ~ ssItem(sK60)
| ~ ssList(sK58)
| ~ spl66_10
| spl66_46 ),
inference(forward_subsumption_resolution,[],[f1463,f615]) ).
fof(f1465,plain,
( ~ ssList(sK58)
| ~ spl66_10
| spl66_46 ),
inference(forward_subsumption_resolution,[],[f1464,f511]) ).
fof(f1466,plain,
( $false
| ~ spl66_10
| spl66_46 ),
inference(forward_subsumption_resolution,[],[f1465,f509]) ).
fof(f1467,plain,
( ~ spl66_10
| spl66_46 ),
inference(avatar_contradiction_clause,[],[f1466]) ).
fof(f1608,plain,
( tl(app(sF63,sK59)) = app(tl(sF63),sK59)
| nil = sF63
| ~ spl66_17 ),
inference(resolution,[],[f1117,f674]) ).
fof(f1609,plain,
( tl(app(sF63,sK59)) = app(tl(sF63),sK59)
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19 ),
inference(forward_subsumption_resolution,[],[f1608,f780]) ).
fof(f1665,plain,
( ! [X0] :
( ~ duplicatefreeP(app(sK58,cons(sK60,X0)))
| ~ ssList(sK9(sK58,sK60))
| ~ ssList(sK8(sK58,sK60))
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ ssList(app(sK58,cons(sK60,X0))) )
| ~ spl66_10 ),
inference(superposition,[],[f565,f945]) ).
fof(f1672,plain,
( ! [X0] :
( ~ duplicatefreeP(app(sK58,cons(sK60,X0)))
| ~ ssList(sK8(sK58,sK60))
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ ssList(app(sK58,cons(sK60,X0))) )
| ~ spl66_10
| ~ spl66_46 ),
inference(forward_subsumption_resolution,[],[f1665,f1427]) ).
fof(f1679,plain,
( ! [X0] :
( ~ duplicatefreeP(app(sK58,cons(sK60,X0)))
| ~ ssItem(sK60)
| ~ ssList(X0)
| ~ ssList(app(sK58,cons(sK60,X0))) )
| ~ spl66_10
| ~ spl66_28
| ~ spl66_46 ),
inference(forward_subsumption_resolution,[],[f1672,f1004]) ).
fof(f1685,plain,
( ! [X0] :
( ~ duplicatefreeP(app(sK58,cons(sK60,X0)))
| ~ ssList(X0)
| ~ ssList(app(sK58,cons(sK60,X0))) )
| ~ spl66_10
| ~ spl66_28
| ~ spl66_46 ),
inference(forward_subsumption_resolution,[],[f1679,f511]) ).
fof(f1700,plain,
( ~ duplicatefreeP(app(sK58,sF62))
| ~ ssList(nil)
| ~ ssList(app(sK58,sF62))
| ~ spl66_2
| ~ spl66_6
| ~ spl66_10
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19
| ~ spl66_28
| ~ spl66_46 ),
inference(superposition,[],[f1685,f1274]) ).
fof(f1701,plain,
( ~ duplicatefreeP(app(sK58,sF62))
| ~ ssList(app(sK58,sF62))
| ~ spl66_2
| ~ spl66_6
| ~ spl66_10
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19
| ~ spl66_28
| ~ spl66_46 ),
inference(forward_subsumption_resolution,[],[f1700,f620]) ).
fof(f1702,plain,
( ~ duplicatefreeP(sF63)
| ~ ssList(app(sK58,sF62))
| ~ spl66_2
| ~ spl66_6
| ~ spl66_10
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19
| ~ spl66_28
| ~ spl66_46 ),
inference(forward_demodulation,[],[f1701,f552]) ).
fof(f1703,plain,
( ~ duplicatefreeP(sF62)
| ~ ssList(app(sK58,sF62))
| ~ spl66_2
| ~ spl66_6
| ~ spl66_10
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19
| ~ spl66_26
| ~ spl66_28
| ~ spl66_46 ),
inference(forward_demodulation,[],[f1702,f1179]) ).
fof(f1704,plain,
( ~ ssList(app(sK58,sF62))
| ~ spl66_2
| ~ spl66_6
| ~ spl66_10
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19
| ~ spl66_26
| ~ spl66_28
| ~ spl66_46 ),
inference(forward_subsumption_resolution,[],[f1703,f842]) ).
fof(f1705,plain,
( ~ ssList(sF63)
| ~ spl66_2
| ~ spl66_6
| ~ spl66_10
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19
| ~ spl66_26
| ~ spl66_28
| ~ spl66_46 ),
inference(forward_demodulation,[],[f1704,f552]) ).
fof(f1706,plain,
( $false
| ~ spl66_2
| ~ spl66_6
| ~ spl66_10
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19
| ~ spl66_26
| ~ spl66_28
| ~ spl66_46 ),
inference(forward_subsumption_resolution,[],[f1705,f674]) ).
fof(f1707,plain,
( ~ spl66_2
| ~ spl66_6
| ~ spl66_10
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19
| ~ spl66_26
| ~ spl66_28
| ~ spl66_46 ),
inference(avatar_contradiction_clause,[],[f1706]) ).
fof(f1728,plain,
( tl(sK55) = app(tl(sF63),sK59)
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19 ),
inference(forward_demodulation,[],[f1609,f650]) ).
fof(f1736,plain,
( tl(sF62) = app(tl(sF63),sK59)
| ~ spl66_2
| ~ spl66_6
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19 ),
inference(forward_demodulation,[],[f1728,f958]) ).
fof(f1744,plain,
( nil != tl(sF62)
| nil = sK59
| ~ ssList(sK59)
| ~ ssList(tl(sF63))
| ~ spl66_2
| ~ spl66_6
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19 ),
inference(superposition,[],[f480,f1736]) ).
fof(f1751,plain,
( nil != tl(sF62)
| ~ ssList(sK59)
| ~ ssList(tl(sF63))
| ~ spl66_2
| ~ spl66_6
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19
| spl66_26 ),
inference(forward_subsumption_resolution,[],[f1744,f922]) ).
fof(f1754,definition,
( spl66_54
<=> ssList(tl(sF63)) ),
introduced(definition,[new_symbols(definition,[spl66_54])],[avatar_definition]) ).
fof(f1756,plain,
( ~ ssList(tl(sF63))
| spl66_54 ),
inference(avatar_component_clause,[],[f1754]) ).
fof(f1766,plain,
( nil != tl(sF62)
| ~ ssList(tl(sF63))
| ~ spl66_2
| ~ spl66_6
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19
| spl66_26 ),
inference(forward_subsumption_resolution,[],[f1751,f510]) ).
fof(f1772,plain,
( ~ spl66_54
| ~ spl66_44
| ~ spl66_2
| ~ spl66_6
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19
| spl66_26 ),
inference(avatar_split_clause,[],[f1766,f920,f681,f673,f619,f593,f572,f1401,f1754]) ).
fof(f2087,plain,
( ! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) )
| ~ spl66_11 ),
inference(resolution,[],[f400,f620]) ).
fof(f2104,plain,
( nil = tl(cons(sK57,nil))
| ~ spl66_11 ),
inference(resolution,[],[f2087,f508]) ).
fof(f2107,plain,
( nil = tl(sF62)
| ~ spl66_11 ),
inference(forward_demodulation,[],[f2104,f550]) ).
fof(f2110,plain,
( spl66_44
| ~ spl66_11 ),
inference(avatar_split_clause,[],[f2107,f619,f1401]) ).
fof(f2513,plain,
( nil = sF63
| ~ ssList(sF63)
| spl66_54 ),
inference(resolution,[],[f399,f1756]) ).
fof(f2526,plain,
( ~ ssList(sF63)
| ~ spl66_11
| ~ spl66_19
| spl66_54 ),
inference(forward_subsumption_resolution,[],[f2513,f780]) ).
fof(f2528,plain,
( $false
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19
| spl66_54 ),
inference(forward_subsumption_resolution,[],[f2526,f674]) ).
fof(f2529,plain,
( ~ spl66_11
| ~ spl66_17
| ~ spl66_19
| spl66_54 ),
inference(avatar_contradiction_clause,[],[f2528]) ).
cnf(s1,plain,
( spl66_1
| spl66_2 ),
inference(sat_conversion,[],[f575]) ).
cnf(s7,plain,
( spl66_1
| spl66_6 ),
inference(sat_conversion,[],[f596]) ).
cnf(s12,plain,
( spl66_9
| spl66_10 ),
inference(sat_conversion,[],[f617]) ).
cnf(s20,plain,
spl66_11,
inference(sat_conversion,[],[f647]) ).
cnf(s23,plain,
( ~ spl66_11
| spl66_19 ),
inference(sat_conversion,[],[f702]) ).
cnf(s25,plain,
( spl66_17
| ~ spl66_19 ),
inference(sat_conversion,[],[f722]) ).
cnf(s35,plain,
( ~ spl66_10
| spl66_28 ),
inference(sat_conversion,[],[f1036]) ).
cnf(s43,plain,
( ~ spl66_1
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19 ),
inference(sat_conversion,[],[f1192]) ).
cnf(s45,plain,
( ~ spl66_9
| ~ spl66_26 ),
inference(sat_conversion,[],[f1256]) ).
cnf(s58,plain,
( ~ spl66_10
| spl66_46 ),
inference(sat_conversion,[],[f1467]) ).
cnf(s63,plain,
( ~ spl66_2
| ~ spl66_6
| ~ spl66_10
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19
| ~ spl66_26
| ~ spl66_28
| ~ spl66_46 ),
inference(sat_conversion,[],[f1707]) ).
cnf(s70,plain,
( ~ spl66_2
| ~ spl66_6
| ~ spl66_11
| ~ spl66_17
| ~ spl66_19
| spl66_26
| ~ spl66_44
| ~ spl66_54 ),
inference(sat_conversion,[],[f1772]) ).
cnf(s92,plain,
( ~ spl66_11
| spl66_44 ),
inference(sat_conversion,[],[f2110]) ).
cnf(s133,plain,
( ~ spl66_11
| ~ spl66_17
| ~ spl66_19
| spl66_54 ),
inference(sat_conversion,[],[f2529]) ).
cnf(s137,plain,
spl66_44,
inference(rat,[],[s92,s20]) ).
cnf(s138,plain,
spl66_19,
inference(rat,[],[s23,s20]) ).
cnf(s140,plain,
spl66_17,
inference(rat,[],[s25,s138]) ).
cnf(s142,plain,
spl66_54,
inference(rat,[],[s133,s138,s20,s140]) ).
cnf(s144,plain,
~ spl66_1,
inference(rat,[],[s43,s138,s20,s140]) ).
cnf(s148,plain,
spl66_6,
inference(rat,[],[s7,s144]) ).
cnf(s151,plain,
spl66_2,
inference(rat,[],[s1,s144]) ).
cnf(s152,plain,
spl66_26,
inference(rat,[],[s70,s142,s137,s148,s138,s140,s20,s151]) ).
cnf(s157,plain,
~ spl66_9,
inference(rat,[],[s45,s152]) ).
cnf(s160,plain,
spl66_10,
inference(rat,[],[s12,s157]) ).
cnf(s167,plain,
spl66_46,
inference(rat,[],[s58,s160]) ).
cnf(s170,plain,
spl66_28,
inference(rat,[],[s35,s160]) ).
cnf(s177,plain,
$false,
inference(rat,[],[s63,s167,s151,s152,s138,s140,s20,s148,s170,s160]) ).
fof(f2532,plain,
$false,
inference(avatar_sat_refutation,[],[s177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC295+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n015.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 08:58:46 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.29/1.91 % (2483453)Detected formulas, will run a generic FOF schedule.
% 6.29/1.91 % (2483462)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1279247389:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.29/1.91 % (2483464)dis-21_1_sil=8000:lcm=predicate:random_seed=105765758:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.29/1.91 % (2483459)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3128708507:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.29/1.91 % (2483460)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2701125378:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.29/1.91 % (2483463)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=132974463:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.29/1.91 % (2483461)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1130421958:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.29/1.91 % (2483458)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3391181442:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.29/1.91 % (2483462)Instruction limit reached!
% 6.29/1.91 % (2483462)------------------------------
% 6.29/1.91 % (2483462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.91 % (2483462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.91 % (2483462)CaDiCaL version: 2.1.3
% 6.29/1.91 % (2483462)Termination reason: Instruction limit
% 6.29/1.91 % (2483462)Termination phase: Saturation
% 6.29/1.91 % (2483462)Time elapsed: 0.038 s
% 6.29/1.91 % (2483462)Peak memory usage: 88 MB
% 6.29/1.91 % (2483462)Instructions burned: 122 (million)
% 6.29/1.91 % (2483461)Instruction limit reached!
% 6.29/1.91 % (2483461)------------------------------
% 6.29/1.91 % (2483461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.91 % (2483461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.91 % (2483461)CaDiCaL version: 2.1.3
% 6.29/1.91 % (2483461)Termination reason: Instruction limit
% 6.29/1.91 % (2483461)Termination phase: Saturation
% 6.29/1.91 % (2483461)Time elapsed: 0.067 s
% 6.29/1.91 % (2483461)Peak memory usage: 89 MB
% 6.29/1.91 % (2483461)Instructions burned: 111 (million)
% 6.29/1.91 % (2483464)Instruction limit reached!
% 6.29/1.91 % (2483464)------------------------------
% 6.29/1.91 % (2483464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.91 % (2483464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.91 % (2483464)CaDiCaL version: 2.1.3
% 6.29/1.91 % (2483464)Termination reason: Instruction limit
% 6.29/1.91 % (2483464)Termination phase: Saturation
% 6.29/1.91 % (2483464)Time elapsed: 0.069 s
% 6.29/1.91 % (2483464)Peak memory usage: 91 MB
% 6.29/1.91 % (2483464)Instructions burned: 130 (million)
% 6.29/1.91 % (2483463)Instruction limit reached!
% 6.29/1.91 % (2483463)------------------------------
% 6.29/1.91 % (2483463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.91 % (2483463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.91 % (2483463)CaDiCaL version: 2.1.3
% 6.29/1.91 % (2483463)Termination reason: Instruction limit
% 6.29/1.91 % (2483463)Termination phase: Saturation
% 6.29/1.91 % (2483463)Time elapsed: 0.096 s
% 6.29/1.91 % (2483463)Peak memory usage: 90 MB
% 6.29/1.91 % (2483463)Instructions burned: 139 (million)
% 6.29/1.91 % (2483472)lrs+10_1_sil=8000:sp=occurrence:random_seed=961595528:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.29/1.91 % (2483474)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3155662668:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.29/1.91 % (2483473)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3437709082:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.29/1.91 % (2483475)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1332221902:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.29/1.91 % (2483474)Instruction limit reached!
% 6.29/1.91 % (2483474)------------------------------
% 6.29/1.91 % (2483474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.91 % (2483474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.91 % (2483474)CaDiCaL version: 2.1.3
% 6.29/1.91 % (2483474)Termination reason: Instruction limit
% 6.29/1.91 % (2483474)Termination phase: Saturation
% 6.29/1.91 % (2483474)Time elapsed: 0.109 s
% 6.29/1.91 % (2483474)Peak memory usage: 92 MB
% 6.29/1.91 % (2483474)Instructions burned: 326 (million)
% 6.29/1.91 % (2483473)Instruction limit reached!
% 6.29/1.91 % (2483473)------------------------------
% 6.29/1.91 % (2483473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.91 % (2483473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.91 % (2483473)CaDiCaL version: 2.1.3
% 6.29/1.91 % (2483473)Termination reason: Instruction limit
% 6.29/1.91 % (2483473)Termination phase: Saturation
% 6.29/1.91 % (2483473)Time elapsed: 0.086 s
% 6.29/1.91 % (2483473)Peak memory usage: 96 MB
% 6.29/1.91 % (2483473)Instructions burned: 157 (million)
% 6.29/1.91 % (2483472)Instruction limit reached!
% 6.29/1.91 % (2483472)------------------------------
% 6.29/1.91 % (2483472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.91 % (2483472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.91 % (2483472)CaDiCaL version: 2.1.3
% 6.29/1.91 % (2483472)Termination reason: Instruction limit
% 6.29/1.91 % (2483472)Termination phase: Saturation
% 6.29/1.91 % (2483472)Time elapsed: 0.170 s
% 6.29/1.91 % (2483472)Peak memory usage: 92 MB
% 6.29/1.91 % (2483472)Instructions burned: 286 (million)
% 6.29/1.91 % (2483475)Instruction limit reached!
% 6.29/1.91 % (2483475)------------------------------
% 6.29/1.91 % (2483475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.91 % (2483475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.91 % (2483475)CaDiCaL version: 2.1.3
% 6.29/1.91 % (2483475)Termination reason: Instruction limit
% 6.29/1.91 % (2483475)Termination phase: Saturation
% 6.29/1.91 % (2483475)Time elapsed: 0.119 s
% 6.29/1.91 % (2483475)Peak memory usage: 94 MB
% 6.29/1.91 % (2483475)Instructions burned: 248 (million)
% 6.29/1.91 % (2483480)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=501227329:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.29/1.91 % (2483481)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2104396279:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.29/1.91 % (2483482)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3377050025:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 6.29/1.91 % (2483480)Instruction limit reached!
% 6.29/1.91 % (2483480)------------------------------
% 6.29/1.91 % (2483480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.91 % (2483480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.91 % (2483480)CaDiCaL version: 2.1.3
% 6.29/1.91 % (2483480)Termination reason: Instruction limit
% 6.29/1.91 % (2483480)Termination phase: Saturation
% 6.29/1.91 % (2483480)Time elapsed: 0.092 s
% 6.29/1.91 % (2483480)Peak memory usage: 90 MB
% 6.29/1.91 % (2483480)Instructions burned: 294 (million)
% 6.29/1.91 % (2483483)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4292121240:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.29/1.91 % (2483482)Instruction limit reached!
% 6.29/1.91 % (2483482)------------------------------
% 6.29/1.91 % (2483482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.91 % (2483482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.91 % (2483482)CaDiCaL version: 2.1.3
% 6.29/1.91 % (2483482)Termination reason: Instruction limit
% 6.29/1.91 % (2483482)Termination phase: Saturation
% 6.29/1.91 % (2483482)Time elapsed: 0.076 s
% 6.29/1.91 % (2483482)Peak memory usage: 90 MB
% 6.29/1.91 % (2483482)Instructions burned: 113 (million)
% 6.29/1.91 % (2483483)Instruction limit reached!
% 6.29/1.91 % (2483483)------------------------------
% 6.29/1.91 % (2483483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.91 % (2483483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.91 % (2483483)CaDiCaL version: 2.1.3
% 6.29/1.91 % (2483483)Termination reason: Instruction limit
% 6.29/1.91 % (2483483)Termination phase: Saturation
% 6.29/1.91 % (2483483)Time elapsed: 0.065 s
% 6.29/1.91 % (2483483)Peak memory usage: 89 MB
% 6.29/1.91 % (2483483)Instructions burned: 128 (million)
% 6.29/1.91 % (2483487)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=208006912:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.29/1.91 % (2483487)Instruction limit reached!
% 6.29/1.91 % (2483487)------------------------------
% 6.29/1.91 % (2483487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.91 % (2483487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.91 % (2483487)CaDiCaL version: 2.1.3
% 6.29/1.91 % (2483487)Termination reason: Instruction limit
% 6.29/1.91 % (2483487)Termination phase: Saturation
% 6.29/1.91 % (2483487)Time elapsed: 0.037 s
% 6.29/1.91 % (2483487)Peak memory usage: 89 MB
% 6.29/1.91 % (2483487)Instructions burned: 117 (million)
% 6.29/1.91 % (2483489)lrs+10_1_sil=8000:sp=occurrence:random_seed=785172657:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.29/1.91 % (2483490)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2301696966:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.29/1.91 % (2483458)First to succeed.
% 6.29/1.91 % (2483492)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3462705713:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.29/1.91 % (2483458)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2483453"
% 6.29/1.91 % (2483490)Instruction limit reached!
% 6.29/1.91 % (2483490)------------------------------
% 6.29/1.91 % (2483490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.29/1.91 % (2483490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/1.91 % (2483490)CaDiCaL version: 2.1.3
% 6.29/1.91 % (2483490)Termination reason: Instruction limit
% 6.29/1.91 % (2483490)Termination phase: Saturation
% 6.29/1.91 % (2483490)Time elapsed: 0.270 s
% 6.29/1.91 % (2483490)Peak memory usage: 93 MB
% 6.29/1.91 % (2483490)Instructions burned: 439 (million)
% 6.29/1.91 % (2483458)Refutation found. Thanks to Tanya!
% 6.29/1.91 % SZS status Theorem for theBenchmark
% 6.29/1.91 % SZS output start Proof for theBenchmark
% See solution above
% 9.44/2.06 % (2483458)------------------------------
% 9.44/2.06 % (2483458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.44/2.06 % (2483458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.44/2.06 % (2483458)CaDiCaL version: 2.1.3
% 9.44/2.06 % (2483458)Termination reason: Refutation
% 9.44/2.06 % (2483458)Time elapsed: 0.824 s
% 9.44/2.06 % (2483458)Peak memory usage: 131 MB
% 9.44/2.06 % (2483458)Instructions burned: 1240 (million)
% 9.44/2.06 % (2483458)------------------------------
% 9.44/2.06 % (2483458)------------------------------
% 9.44/2.06 % (2483453)Success in time 1.256 s
% 9.44/2.06 % Vampire exiting
%------------------------------------------------------------------------------