%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC183+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 : n014.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 01:02:50 PM UTC 2026
% Result : Theorem 5.11s 2.14s
% Output : Refutation 9.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 36
% Syntax : Number of formulae : 309 ( 39 unt; 19 def)
% Number of atoms : 1290 ( 220 equ)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 1803 ( 822 ~; 823 |; 88 &)
% ( 26 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 16 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 13 con; 0-2 aty)
% Number of variables : 249 ( 0 sgn 221 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/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(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/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
| ( ~ memberP(X5,X4)
& ~ memberP(X6,X4) ) ) ) )
| ( ! [X7] :
( ~ ssItem(X7)
| cons(X7,nil) != X2
| ~ memberP(X3,X7)
| ? [X8] :
( ssItem(X8)
& X7 != X8
& memberP(X3,X8)
& leq(X7,X8) ) )
& ( 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
| ( ~ memberP(X5,X4)
& ~ memberP(X6,X4) ) ) ) )
| ( ! [X7] :
( ~ ssItem(X7)
| cons(X7,nil) != X2
| ~ memberP(X3,X7)
| ? [X8] :
( ssItem(X8)
& X7 != X8
& memberP(X3,X8)
& leq(X7,X8) ) )
& ( 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(f134,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f148,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(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] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ssList(X6)
& app(app(X5,cons(X4,nil)),X6) = X0
& ( memberP(X5,X4)
| memberP(X6,X4) ) )
& ssList(X5) )
& ssItem(X4) )
& ( ? [X7] :
( ssItem(X7)
& cons(X7,nil) = X2
& memberP(X3,X7)
& ! [X8] :
( ~ ssItem(X8)
| X7 = X8
| ~ memberP(X3,X8)
| ~ leq(X7,X8) ) )
| ( nil = X3
& nil = X2 ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f233,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(f234,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,[],[f233]) ).
fof(f235,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))],[f234]) ).
fof(f266,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(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) ) )
& ( ! [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,[],[f266]) ).
fof(f268,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))],[f267]) ).
fof(f276,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(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(flattening,[],[f276]) ).
fof(f278,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(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(flattening,[],[f278]) ).
fof(f291,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(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(flattening,[],[f291]) ).
fof(f295,plain,
( ssList(sK56)
& sK54 = sK56
& sK53 = sK55
& ssList(sK59)
& sK53 = app(app(sK58,cons(sK57,nil)),sK59)
& ( memberP(sK58,sK57)
| memberP(sK59,sK57) )
& ssList(sK58)
& ssItem(sK57)
& ( ( ssItem(sK60)
& sK55 = cons(sK60,nil)
& memberP(sK56,sK60)
& ! [X8] :
( ~ ssItem(X8)
| sK60 = X8
| ~ memberP(sK56,X8)
| ~ leq(sK60,X8) ) )
| ( nil = sK56
& nil = sK55 ) )
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X4,sK57),skolemize(X5,sK58),skolemize(X6,sK59),skolemize(X7,sK60)],[f221]) ).
fof(f301,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f302,plain,
! [X0,X1] :
( ssList(sK9(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f303,plain,
! [X0,X1] :
( ssList(sK8(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f304,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,[],[f235]) ).
fof(f370,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,[],[f268]) ).
fof(f387,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f388,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f395,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f398,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f399,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f400,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f402,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f413,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f414,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f415,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f418,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f464,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f478,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f479,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f481,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f483,plain,
! [X0,X1] :
( ~ ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f495,plain,
ssList(sK53),
inference(cnf_transformation,[],[f295]) ).
fof(f502,plain,
( sK55 = cons(sK60,nil)
| nil = sK55 ),
inference(cnf_transformation,[],[f295]) ).
fof(f504,plain,
( ssItem(sK60)
| nil = sK55 ),
inference(cnf_transformation,[],[f295]) ).
fof(f506,plain,
ssItem(sK57),
inference(cnf_transformation,[],[f295]) ).
fof(f507,plain,
ssList(sK58),
inference(cnf_transformation,[],[f295]) ).
fof(f508,plain,
( memberP(sK58,sK57)
| memberP(sK59,sK57) ),
inference(cnf_transformation,[],[f295]) ).
fof(f509,plain,
sK53 = app(app(sK58,cons(sK57,nil)),sK59),
inference(cnf_transformation,[],[f295]) ).
fof(f510,plain,
ssList(sK59),
inference(cnf_transformation,[],[f295]) ).
fof(f511,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f295]) ).
fof(f514,plain,
sK55 = app(app(sK58,cons(sK57,nil)),sK59),
inference(definition_unfolding,[],[f509,f511]) ).
fof(f516,plain,
ssList(sK55),
inference(definition_unfolding,[],[f495,f511]) ).
fof(f518,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,[],[f304]) ).
fof(f528,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,[],[f370]) ).
fof(f529,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,[],[f528]) ).
fof(f544,definition,
sF61 = cons(sK57,nil),
introduced(definition,[new_symbols(definition,[sF61])],[function_definition]) ).
fof(f545,plain,
cons(sK57,nil) = sF61,
inference(reorient_equations,[],[f544]) ).
fof(f546,definition,
sF62 = app(sK58,sF61),
introduced(definition,[new_symbols(definition,[sF62])],[function_definition]) ).
fof(f547,plain,
app(sK58,sF61) = sF62,
inference(reorient_equations,[],[f546]) ).
fof(f548,definition,
sF63 = app(sF62,sK59),
introduced(definition,[new_symbols(definition,[sF63])],[function_definition]) ).
fof(f549,plain,
app(sF62,sK59) = sF63,
inference(reorient_equations,[],[f548]) ).
fof(f550,plain,
sK55 = sF63,
inference(definition_folding,[],[f514,f549,f547,f545]) ).
fof(f551,definition,
sF64 = cons(sK60,nil),
introduced(definition,[new_symbols(definition,[sF64])],[function_definition]) ).
fof(f552,plain,
cons(sK60,nil) = sF64,
inference(reorient_equations,[],[f551]) ).
fof(f554,plain,
( sK55 = sF64
| nil = sK55 ),
inference(definition_folding,[],[f502,f552]) ).
fof(f560,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,[],[f529]) ).
fof(f563,definition,
( spl65_1
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl65_1])],[avatar_definition]) ).
fof(f582,definition,
( spl65_5
<=> sK55 = sF64 ),
introduced(definition,[new_symbols(definition,[spl65_5])],[avatar_definition]) ).
fof(f584,plain,
( sK55 = sF64
| ~ spl65_5 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f585,plain,
( spl65_1
| spl65_5 ),
inference(avatar_split_clause,[],[f554,f582,f563]) ).
fof(f588,definition,
( spl65_6
<=> ssItem(sK60) ),
introduced(definition,[new_symbols(definition,[spl65_6])],[avatar_definition]) ).
fof(f590,plain,
( ssItem(sK60)
| ~ spl65_6 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f591,plain,
( spl65_1
| spl65_6 ),
inference(avatar_split_clause,[],[f504,f588,f563]) ).
fof(f594,definition,
( spl65_7
<=> memberP(sK59,sK57) ),
introduced(definition,[new_symbols(definition,[spl65_7])],[avatar_definition]) ).
fof(f596,plain,
( memberP(sK59,sK57)
| ~ spl65_7 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f598,definition,
( spl65_8
<=> memberP(sK58,sK57) ),
introduced(definition,[new_symbols(definition,[spl65_8])],[avatar_definition]) ).
fof(f600,plain,
( memberP(sK58,sK57)
| ~ spl65_8 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f601,plain,
( spl65_7
| spl65_8 ),
inference(avatar_split_clause,[],[f508,f598,f594]) ).
fof(f603,definition,
( spl65_9
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl65_9])],[avatar_definition]) ).
fof(f604,plain,
( ssList(nil)
| ~ spl65_9 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f631,plain,
spl65_9,
inference(avatar_split_clause,[],[f388,f603]) ).
fof(f634,plain,
sK55 = app(sF62,sK59),
inference(forward_demodulation,[],[f549,f550]) ).
fof(f636,plain,
! [X0] :
( ~ memberP(sF64,X0)
| memberP(nil,X0)
| sK60 = X0
| ~ ssList(nil)
| ~ ssItem(sK60)
| ~ ssItem(X0) ),
inference(superposition,[],[f415,f552]) ).
fof(f637,plain,
( ! [X0] :
( ~ memberP(sF64,X0)
| memberP(nil,X0)
| sK60 = X0
| ~ ssItem(sK60)
| ~ ssItem(X0) )
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f636,f604]) ).
fof(f639,plain,
( ! [X0] :
( ~ memberP(sF64,X0)
| memberP(nil,X0)
| sK60 = X0
| ~ ssItem(X0) )
| ~ spl65_6
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f637,f590]) ).
fof(f641,plain,
( ! [X0] :
( ~ memberP(sF64,X0)
| sK60 = X0
| ~ ssItem(X0) )
| ~ spl65_6
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f639,f418]) ).
fof(f643,plain,
( ! [X0] :
( ~ memberP(sK55,X0)
| sK60 = X0
| ~ ssItem(X0) )
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9 ),
inference(forward_demodulation,[],[f641,f584]) ).
fof(f644,plain,
! [X0] :
( memberP(app(X0,sF61),sK57)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssItem(sK57)
| ~ ssList(app(X0,sF61)) ),
inference(superposition,[],[f518,f545]) ).
fof(f647,plain,
( ! [X0] :
( memberP(app(X0,sF61),sK57)
| ~ ssList(X0)
| ~ ssItem(sK57)
| ~ ssList(app(X0,sF61)) )
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f644,f604]) ).
fof(f649,plain,
( ! [X0] :
( memberP(app(X0,sF61),sK57)
| ~ ssList(X0)
| ~ ssList(app(X0,sF61)) )
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f647,f506]) ).
fof(f656,plain,
( ssList(sF61)
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f387,f545]) ).
fof(f659,plain,
( ssList(sF61)
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f656,f506]) ).
fof(f661,plain,
( ssList(sF61)
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f659,f604]) ).
fof(f670,plain,
( sF61 = app(nil,sF61)
| ~ spl65_9 ),
inference(resolution,[],[f402,f661]) ).
fof(f673,plain,
( ssList(sF62)
| ~ ssList(sF61)
| ~ ssList(sK58) ),
inference(superposition,[],[f400,f547]) ).
fof(f675,plain,
( ssList(sF62)
| ~ ssList(sK58)
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f673,f661]) ).
fof(f676,plain,
( ssList(sF62)
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f675,f507]) ).
fof(f678,plain,
( sF62 = app(sF62,nil)
| ~ spl65_9 ),
inference(resolution,[],[f676,f481]) ).
fof(f680,plain,
! [X0] :
( memberP(sK55,X0)
| ~ memberP(sK59,X0)
| ~ ssList(sK59)
| ~ ssList(sF62)
| ~ ssItem(X0) ),
inference(superposition,[],[f413,f634]) ).
fof(f681,plain,
! [X0] :
( memberP(sK55,X0)
| ~ memberP(sK59,X0)
| ~ ssList(sF62)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f680,f510]) ).
fof(f683,plain,
( ! [X0] :
( ~ memberP(sK59,X0)
| memberP(sK55,X0)
| ~ ssItem(X0) )
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f681,f676]) ).
fof(f685,plain,
( memberP(sK55,sK57)
| ~ ssItem(sK57)
| ~ spl65_7
| ~ spl65_9 ),
inference(resolution,[],[f683,f596]) ).
fof(f686,plain,
( memberP(sK55,sK57)
| ~ spl65_7
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f685,f506]) ).
fof(f687,plain,
( sK57 = sK60
| ~ ssItem(sK57)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_7
| ~ spl65_9 ),
inference(resolution,[],[f686,f643]) ).
fof(f688,plain,
( sK57 = sK60
| ~ spl65_5
| ~ spl65_6
| ~ spl65_7
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f687,f506]) ).
fof(f691,plain,
( memberP(sK59,sK60)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_7
| ~ spl65_9 ),
inference(superposition,[],[f596,f688]) ).
fof(f705,plain,
! [X0] :
( memberP(sK55,X0)
| ~ memberP(sF62,X0)
| ~ ssList(sK59)
| ~ ssList(sF62)
| ~ ssItem(X0) ),
inference(superposition,[],[f414,f634]) ).
fof(f706,plain,
! [X0] :
( memberP(sK55,X0)
| ~ memberP(sF62,X0)
| ~ ssList(sF62)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f705,f510]) ).
fof(f708,plain,
( ! [X0] :
( ~ memberP(sF62,X0)
| memberP(sK55,X0)
| ~ ssItem(X0) )
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f706,f676]) ).
fof(f711,plain,
( nil != sF61
| ~ ssItem(sK57)
| ~ ssList(nil) ),
inference(superposition,[],[f395,f545]) ).
fof(f714,plain,
( nil != sF61
| ~ ssList(nil) ),
inference(forward_subsumption_resolution,[],[f711,f506]) ).
fof(f716,plain,
( nil != sF61
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f714,f604]) ).
fof(f719,plain,
( nil != sF62
| nil = sF61
| ~ ssList(sF61)
| ~ ssList(sK58) ),
inference(superposition,[],[f479,f547]) ).
fof(f722,plain,
( nil != sF62
| ~ ssList(sF61)
| ~ ssList(sK58)
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f719,f716]) ).
fof(f724,plain,
( nil != sF62
| ~ ssList(sK58)
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f722,f661]) ).
fof(f726,plain,
( nil != sF62
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f724,f507]) ).
fof(f729,plain,
( nil != sK55
| nil = sF62
| ~ ssList(sK59)
| ~ ssList(sF62) ),
inference(superposition,[],[f478,f634]) ).
fof(f730,plain,
( nil != sK55
| ~ ssList(sK59)
| ~ ssList(sF62)
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f729,f726]) ).
fof(f731,plain,
( nil != sK55
| ~ ssList(sF62)
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f730,f510]) ).
fof(f732,plain,
( nil != sK55
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f731,f676]) ).
fof(f752,plain,
( memberP(sF62,sK57)
| ~ ssList(sK58)
| ~ ssList(sF62)
| ~ spl65_9 ),
inference(superposition,[],[f649,f547]) ).
fof(f754,plain,
( memberP(sF62,sK57)
| ~ ssList(sF62)
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f752,f507]) ).
fof(f755,plain,
( memberP(sF62,sK57)
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f754,f676]) ).
fof(f766,plain,
! [X0] :
( ~ ssList(X0)
| tl(app(X0,sK55)) = app(tl(X0),sK55)
| nil = X0 ),
inference(resolution,[],[f483,f516]) ).
fof(f769,plain,
! [X0] :
( ~ ssList(X0)
| tl(app(X0,sK59)) = app(tl(X0),sK59)
| nil = X0 ),
inference(resolution,[],[f483,f510]) ).
fof(f787,definition,
( spl65_15
<=> nil = sK59 ),
introduced(definition,[new_symbols(definition,[spl65_15])],[avatar_definition]) ).
fof(f788,plain,
( nil != sK59
| spl65_15 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f789,plain,
( nil = sK59
| ~ spl65_15 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f796,definition,
( spl65_17
<=> nil = sK58 ),
introduced(definition,[new_symbols(definition,[spl65_17])],[avatar_definition]) ).
fof(f797,plain,
( nil != sK58
| spl65_17 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f798,plain,
( nil = sK58
| ~ spl65_17 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f811,plain,
( memberP(nil,sK60)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_7
| ~ spl65_9
| ~ spl65_15 ),
inference(superposition,[],[f691,f789]) ).
fof(f815,plain,
( sK55 = app(sF62,nil)
| ~ spl65_15 ),
inference(superposition,[],[f634,f789]) ).
fof(f816,plain,
( sK55 = sF62
| ~ spl65_9
| ~ spl65_15 ),
inference(forward_demodulation,[],[f815,f678]) ).
fof(f821,plain,
( sF62 = app(nil,sF61)
| ~ spl65_17 ),
inference(superposition,[],[f547,f798]) ).
fof(f822,plain,
( sF61 = sF62
| ~ spl65_9
| ~ spl65_17 ),
inference(forward_demodulation,[],[f821,f670]) ).
fof(f829,plain,
( ~ ssItem(sK60)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_7
| ~ spl65_9
| ~ spl65_15 ),
inference(resolution,[],[f811,f418]) ).
fof(f830,plain,
( $false
| ~ spl65_5
| ~ spl65_6
| ~ spl65_7
| ~ spl65_9
| ~ spl65_15 ),
inference(forward_subsumption_resolution,[],[f829,f590]) ).
fof(f831,plain,
( ~ spl65_5
| ~ spl65_6
| ~ spl65_7
| ~ spl65_9
| ~ spl65_15 ),
inference(avatar_contradiction_clause,[],[f830]) ).
fof(f902,plain,
( tl(app(sF62,sK59)) = app(tl(sF62),sK59)
| nil = sF62
| ~ spl65_9 ),
inference(resolution,[],[f769,f676]) ).
fof(f903,plain,
( tl(app(sF62,sK59)) = app(tl(sF62),sK59)
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f902,f726]) ).
fof(f910,plain,
( tl(sK55) = app(tl(sF62),sK59)
| ~ spl65_9 ),
inference(forward_demodulation,[],[f903,f634]) ).
fof(f923,definition,
( spl65_22
<=> ssList(tl(sF62)) ),
introduced(definition,[new_symbols(definition,[spl65_22])],[avatar_definition]) ).
fof(f924,plain,
( ssList(tl(sF62))
| ~ spl65_22 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f925,plain,
( ~ ssList(tl(sF62))
| spl65_22 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f945,definition,
( spl65_27
<=> nil = tl(sF61) ),
introduced(definition,[new_symbols(definition,[spl65_27])],[avatar_definition]) ).
fof(f946,plain,
( nil = tl(sF61)
| ~ spl65_27 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f947,plain,
( nil != tl(sF61)
| spl65_27 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f950,plain,
( duplicatefreeP(sF61)
| ~ ssItem(sK57) ),
inference(superposition,[],[f464,f545]) ).
fof(f953,plain,
duplicatefreeP(sF61),
inference(forward_subsumption_resolution,[],[f950,f506]) ).
fof(f1164,plain,
( ~ spl65_1
| ~ spl65_9 ),
inference(avatar_split_clause,[],[f732,f603,f563]) ).
fof(f1216,plain,
( ! [X0] :
( ~ memberP(sK55,X0)
| sK60 = X0
| ~ ssItem(X0) )
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9 ),
inference(superposition,[],[f641,f584]) ).
fof(f1230,plain,
( memberP(sK55,sK57)
| ~ ssItem(sK57)
| ~ spl65_9 ),
inference(resolution,[],[f755,f708]) ).
fof(f1346,plain,
( nil != tl(sK55)
| nil = tl(sF62)
| ~ ssList(sK59)
| ~ ssList(tl(sF62))
| ~ spl65_9 ),
inference(superposition,[],[f478,f910]) ).
fof(f1347,plain,
( nil != tl(sK55)
| nil = sK59
| ~ ssList(sK59)
| ~ ssList(tl(sF62))
| ~ spl65_9 ),
inference(superposition,[],[f479,f910]) ).
fof(f1396,plain,
( tl(app(sK58,sK55)) = app(tl(sK58),sK55)
| nil = sK58 ),
inference(resolution,[],[f766,f507]) ).
fof(f1431,definition,
( spl65_46
<=> ssList(tl(sK58)) ),
introduced(definition,[new_symbols(definition,[spl65_46])],[avatar_definition]) ).
fof(f1432,plain,
( ssList(tl(sK58))
| ~ spl65_46 ),
inference(avatar_component_clause,[],[f1431]) ).
fof(f1433,plain,
( ~ ssList(tl(sK58))
| spl65_46 ),
inference(avatar_component_clause,[],[f1431]) ).
fof(f1444,definition,
( spl65_49
<=> nil = tl(sK58) ),
introduced(definition,[new_symbols(definition,[spl65_49])],[avatar_definition]) ).
fof(f1445,plain,
( nil != tl(sK58)
| spl65_49 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f1446,plain,
( nil = tl(sK58)
| ~ spl65_49 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f1542,plain,
( memberP(sK55,sK57)
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f1230,f506]) ).
fof(f1574,plain,
( sK58 = app(sK8(sK58,sK57),cons(sK57,sK9(sK58,sK57)))
| ~ ssItem(sK57)
| ~ ssList(sK58)
| ~ spl65_8 ),
inference(resolution,[],[f600,f301]) ).
fof(f1575,plain,
( sK58 = app(sK8(sK58,sK57),cons(sK57,sK9(sK58,sK57)))
| ~ ssList(sK58)
| ~ spl65_8 ),
inference(forward_subsumption_resolution,[],[f1574,f506]) ).
fof(f1576,plain,
( sK58 = app(sK8(sK58,sK57),cons(sK57,sK9(sK58,sK57)))
| ~ spl65_8 ),
inference(forward_subsumption_resolution,[],[f1575,f507]) ).
fof(f1596,plain,
( sK57 = sK60
| ~ ssItem(sK57)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9 ),
inference(resolution,[],[f1542,f1216]) ).
fof(f1599,plain,
( sK57 = sK60
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f1596,f506]) ).
fof(f1603,plain,
( cons(sK60,nil) = sF61
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9 ),
inference(superposition,[],[f545,f1599]) ).
fof(f1604,plain,
( memberP(sK58,sK60)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_8
| ~ spl65_9 ),
inference(superposition,[],[f600,f1599]) ).
fof(f1609,plain,
( sF61 = sF64
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9 ),
inference(forward_demodulation,[],[f1603,f552]) ).
fof(f1610,plain,
( sK55 = sF61
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9 ),
inference(forward_demodulation,[],[f1609,f584]) ).
fof(f1620,plain,
( ! [X0] :
( ~ duplicatefreeP(app(sK58,cons(sK57,X0)))
| ~ ssList(sK9(sK58,sK57))
| ~ ssList(sK8(sK58,sK57))
| ~ ssItem(sK57)
| ~ ssList(X0)
| ~ ssList(app(sK58,cons(sK57,X0))) )
| ~ spl65_8 ),
inference(superposition,[],[f560,f1576]) ).
fof(f1629,plain,
( ! [X0] :
( ~ duplicatefreeP(app(sK58,cons(sK57,X0)))
| ~ ssList(sK9(sK58,sK57))
| ~ ssList(sK8(sK58,sK57))
| ~ ssList(X0)
| ~ ssList(app(sK58,cons(sK57,X0))) )
| ~ spl65_8 ),
inference(forward_subsumption_resolution,[],[f1620,f506]) ).
fof(f1632,plain,
( ! [X0] :
( ~ duplicatefreeP(app(sK58,cons(sK60,X0)))
| ~ ssList(sK9(sK58,sK57))
| ~ ssList(sK8(sK58,sK57))
| ~ ssList(X0)
| ~ ssList(app(sK58,cons(sK57,X0))) )
| ~ spl65_5
| ~ spl65_6
| ~ spl65_8
| ~ spl65_9 ),
inference(forward_demodulation,[],[f1629,f1599]) ).
fof(f1635,plain,
( ! [X0] :
( ~ ssList(sK9(sK58,sK60))
| ~ duplicatefreeP(app(sK58,cons(sK60,X0)))
| ~ ssList(sK8(sK58,sK57))
| ~ ssList(X0)
| ~ ssList(app(sK58,cons(sK57,X0))) )
| ~ spl65_5
| ~ spl65_6
| ~ spl65_8
| ~ spl65_9 ),
inference(forward_demodulation,[],[f1632,f1599]) ).
fof(f1644,definition,
( spl65_68
<=> ssList(sK8(sK58,sK60)) ),
introduced(definition,[new_symbols(definition,[spl65_68])],[avatar_definition]) ).
fof(f1646,plain,
( ~ ssList(sK8(sK58,sK60))
| spl65_68 ),
inference(avatar_component_clause,[],[f1644]) ).
fof(f1652,plain,
( ! [X0] :
( ~ ssList(sK8(sK58,sK60))
| ~ ssList(sK9(sK58,sK60))
| ~ duplicatefreeP(app(sK58,cons(sK60,X0)))
| ~ ssList(X0)
| ~ ssList(app(sK58,cons(sK57,X0))) )
| ~ spl65_5
| ~ spl65_6
| ~ spl65_8
| ~ spl65_9 ),
inference(forward_demodulation,[],[f1635,f1599]) ).
fof(f1653,plain,
( ! [X0] :
( ~ ssList(app(sK58,cons(sK60,X0)))
| ~ ssList(sK8(sK58,sK60))
| ~ ssList(sK9(sK58,sK60))
| ~ duplicatefreeP(app(sK58,cons(sK60,X0)))
| ~ ssList(X0) )
| ~ spl65_5
| ~ spl65_6
| ~ spl65_8
| ~ spl65_9 ),
inference(forward_demodulation,[],[f1652,f1599]) ).
fof(f1655,definition,
( spl65_70
<=> ssList(sK9(sK58,sK60)) ),
introduced(definition,[new_symbols(definition,[spl65_70])],[avatar_definition]) ).
fof(f1657,plain,
( ~ ssList(sK9(sK58,sK60))
| spl65_70 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f1659,definition,
( spl65_71
<=> ! [X0] :
( ~ ssList(app(sK58,cons(sK60,X0)))
| ~ ssList(X0)
| ~ duplicatefreeP(app(sK58,cons(sK60,X0))) ) ),
introduced(definition,[new_symbols(definition,[spl65_71])],[avatar_definition]) ).
fof(f1660,plain,
( ! [X0] :
( ~ duplicatefreeP(app(sK58,cons(sK60,X0)))
| ~ ssList(X0)
| ~ ssList(app(sK58,cons(sK60,X0))) )
| ~ spl65_71 ),
inference(avatar_component_clause,[],[f1659]) ).
fof(f1661,plain,
( ~ spl65_70
| ~ spl65_68
| spl65_71
| ~ spl65_5
| ~ spl65_6
| ~ spl65_8
| ~ spl65_9 ),
inference(avatar_split_clause,[],[f1653,f603,f598,f588,f582,f1659,f1644,f1655]) ).
fof(f1662,plain,
( ~ memberP(sK58,sK60)
| ~ ssItem(sK60)
| ~ ssList(sK58)
| spl65_68 ),
inference(resolution,[],[f1646,f303]) ).
fof(f1663,plain,
( ~ ssItem(sK60)
| ~ ssList(sK58)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_8
| ~ spl65_9
| spl65_68 ),
inference(forward_subsumption_resolution,[],[f1662,f1604]) ).
fof(f1664,plain,
( ~ ssList(sK58)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_8
| ~ spl65_9
| spl65_68 ),
inference(forward_subsumption_resolution,[],[f1663,f590]) ).
fof(f1665,plain,
( $false
| ~ spl65_5
| ~ spl65_6
| ~ spl65_8
| ~ spl65_9
| spl65_68 ),
inference(forward_subsumption_resolution,[],[f1664,f507]) ).
fof(f1666,plain,
( ~ spl65_5
| ~ spl65_6
| ~ spl65_8
| ~ spl65_9
| spl65_68 ),
inference(avatar_contradiction_clause,[],[f1665]) ).
fof(f1751,plain,
( ~ memberP(sK58,sK60)
| ~ ssItem(sK60)
| ~ ssList(sK58)
| spl65_70 ),
inference(resolution,[],[f1657,f302]) ).
fof(f1752,plain,
( ~ ssItem(sK60)
| ~ ssList(sK58)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_8
| ~ spl65_9
| spl65_70 ),
inference(forward_subsumption_resolution,[],[f1751,f1604]) ).
fof(f1753,plain,
( ~ ssList(sK58)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_8
| ~ spl65_9
| spl65_70 ),
inference(forward_subsumption_resolution,[],[f1752,f590]) ).
fof(f1754,plain,
( $false
| ~ spl65_5
| ~ spl65_6
| ~ spl65_8
| ~ spl65_9
| spl65_70 ),
inference(forward_subsumption_resolution,[],[f1753,f507]) ).
fof(f1755,plain,
( ~ spl65_5
| ~ spl65_6
| ~ spl65_8
| ~ spl65_9
| spl65_70 ),
inference(avatar_contradiction_clause,[],[f1754]) ).
fof(f1816,plain,
( ~ duplicatefreeP(app(sK58,sF64))
| ~ ssList(nil)
| ~ ssList(app(sK58,sF64))
| ~ spl65_71 ),
inference(superposition,[],[f1660,f552]) ).
fof(f1817,plain,
( ~ duplicatefreeP(app(sK58,sF64))
| ~ ssList(app(sK58,sF64))
| ~ spl65_9
| ~ spl65_71 ),
inference(forward_subsumption_resolution,[],[f1816,f604]) ).
fof(f1818,plain,
( ~ duplicatefreeP(app(sK58,sK55))
| ~ ssList(app(sK58,sF64))
| ~ spl65_5
| ~ spl65_9
| ~ spl65_71 ),
inference(forward_demodulation,[],[f1817,f584]) ).
fof(f1819,plain,
( ~ duplicatefreeP(app(sK58,sF61))
| ~ ssList(app(sK58,sF64))
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_71 ),
inference(forward_demodulation,[],[f1818,f1610]) ).
fof(f1820,plain,
( ~ duplicatefreeP(sF62)
| ~ ssList(app(sK58,sF64))
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_71 ),
inference(forward_demodulation,[],[f1819,f547]) ).
fof(f1821,plain,
( ~ ssList(app(sK58,sK55))
| ~ duplicatefreeP(sF62)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_71 ),
inference(forward_demodulation,[],[f1820,f584]) ).
fof(f1822,plain,
( ~ ssList(app(sK58,sF61))
| ~ duplicatefreeP(sF62)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_71 ),
inference(forward_demodulation,[],[f1821,f1610]) ).
fof(f1823,plain,
( ~ ssList(sF62)
| ~ duplicatefreeP(sF62)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_71 ),
inference(forward_demodulation,[],[f1822,f547]) ).
fof(f1824,plain,
( ~ duplicatefreeP(sF62)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_71 ),
inference(forward_subsumption_resolution,[],[f1823,f676]) ).
fof(f1979,plain,
( nil = sF62
| ~ ssList(sF62)
| spl65_22 ),
inference(resolution,[],[f398,f925]) ).
fof(f1980,plain,
( nil = sK58
| ~ ssList(sK58)
| spl65_46 ),
inference(resolution,[],[f398,f1433]) ).
fof(f1992,plain,
( ~ ssList(sK58)
| spl65_17
| spl65_46 ),
inference(forward_subsumption_resolution,[],[f1980,f797]) ).
fof(f1993,plain,
( ~ ssList(sF62)
| ~ spl65_9
| spl65_22 ),
inference(forward_subsumption_resolution,[],[f1979,f726]) ).
fof(f1994,plain,
( $false
| spl65_17
| spl65_46 ),
inference(forward_subsumption_resolution,[],[f1992,f507]) ).
fof(f1995,plain,
( spl65_17
| spl65_46 ),
inference(avatar_contradiction_clause,[],[f1994]) ).
fof(f1996,plain,
( $false
| ~ spl65_9
| spl65_22 ),
inference(forward_subsumption_resolution,[],[f1993,f676]) ).
fof(f1997,plain,
( ~ spl65_9
| spl65_22 ),
inference(avatar_contradiction_clause,[],[f1996]) ).
fof(f2004,plain,
( nil != tl(sK55)
| ~ ssList(sK59)
| ~ ssList(tl(sF62))
| ~ spl65_9
| spl65_15 ),
inference(forward_subsumption_resolution,[],[f1347,f788]) ).
fof(f2005,plain,
( nil != tl(sK55)
| nil = tl(sF62)
| ~ ssList(tl(sF62))
| ~ spl65_9 ),
inference(forward_subsumption_resolution,[],[f1346,f510]) ).
fof(f2014,plain,
( nil != tl(sK55)
| ~ ssList(tl(sF62))
| ~ spl65_9
| spl65_15 ),
inference(forward_subsumption_resolution,[],[f2004,f510]) ).
fof(f2015,plain,
( nil != tl(sF61)
| nil = tl(sF62)
| ~ ssList(tl(sF62))
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9 ),
inference(forward_demodulation,[],[f2005,f1610]) ).
fof(f2022,plain,
( nil != tl(sF61)
| ~ ssList(tl(sF62))
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| spl65_15 ),
inference(forward_demodulation,[],[f2014,f1610]) ).
fof(f2066,plain,
( ~ duplicatefreeP(sF61)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_17
| ~ spl65_71 ),
inference(superposition,[],[f1824,f822]) ).
fof(f2070,plain,
( $false
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_17
| ~ spl65_71 ),
inference(forward_subsumption_resolution,[],[f2066,f953]) ).
fof(f2071,plain,
( ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_17
| ~ spl65_71 ),
inference(avatar_contradiction_clause,[],[f2070]) ).
fof(f2086,plain,
( tl(app(sK58,sK55)) = app(tl(sK58),sK55)
| spl65_17 ),
inference(forward_subsumption_resolution,[],[f1396,f797]) ).
fof(f2094,plain,
( tl(app(sK58,sF61)) = app(tl(sK58),sF61)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| spl65_17 ),
inference(forward_demodulation,[],[f2086,f1610]) ).
fof(f2098,plain,
( tl(sF62) = app(tl(sK58),sF61)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| spl65_17 ),
inference(forward_demodulation,[],[f2094,f547]) ).
fof(f2301,plain,
( app(nil,sF61) = tl(sF62)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| spl65_17
| ~ spl65_49 ),
inference(forward_demodulation,[],[f2098,f1446]) ).
fof(f2311,plain,
( sF61 = tl(sF62)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| spl65_17
| ~ spl65_49 ),
inference(forward_demodulation,[],[f2301,f670]) ).
fof(f2526,plain,
( ! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) )
| ~ spl65_9 ),
inference(resolution,[],[f399,f604]) ).
fof(f2556,plain,
( nil = tl(cons(sK57,nil))
| ~ spl65_9 ),
inference(resolution,[],[f2526,f506]) ).
fof(f2558,plain,
( nil = tl(sF61)
| ~ spl65_9 ),
inference(forward_demodulation,[],[f2556,f545]) ).
fof(f2560,plain,
( $false
| ~ spl65_9
| spl65_27 ),
inference(forward_subsumption_resolution,[],[f2558,f947]) ).
fof(f2561,plain,
( ~ spl65_9
| spl65_27 ),
inference(avatar_contradiction_clause,[],[f2560]) ).
fof(f2566,plain,
( nil = tl(sF62)
| ~ ssList(tl(sF62))
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_27 ),
inference(forward_subsumption_resolution,[],[f2015,f946]) ).
fof(f2567,plain,
( ~ ssList(tl(sF62))
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| spl65_15
| ~ spl65_27 ),
inference(forward_subsumption_resolution,[],[f2022,f946]) ).
fof(f2570,plain,
( $false
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| spl65_15
| ~ spl65_22
| ~ spl65_27 ),
inference(forward_subsumption_resolution,[],[f2567,f924]) ).
fof(f2571,plain,
( ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| spl65_15
| ~ spl65_22
| ~ spl65_27 ),
inference(avatar_contradiction_clause,[],[f2570]) ).
fof(f2575,plain,
( sF61 = sF62
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_15 ),
inference(forward_demodulation,[],[f816,f1610]) ).
fof(f2583,plain,
( nil = tl(sF62)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_22
| ~ spl65_27 ),
inference(forward_subsumption_resolution,[],[f2566,f924]) ).
fof(f2591,plain,
( nil = sF61
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| spl65_17
| ~ spl65_22
| ~ spl65_27
| ~ spl65_49 ),
inference(forward_demodulation,[],[f2583,f2311]) ).
fof(f2596,plain,
( $false
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| spl65_17
| ~ spl65_22
| ~ spl65_27
| ~ spl65_49 ),
inference(forward_subsumption_resolution,[],[f2591,f716]) ).
fof(f2597,plain,
( ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| spl65_17
| ~ spl65_22
| ~ spl65_27
| ~ spl65_49 ),
inference(avatar_contradiction_clause,[],[f2596]) ).
fof(f2601,plain,
( tl(sF61) = app(tl(sK58),sF61)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_15
| spl65_17 ),
inference(forward_demodulation,[],[f2098,f2575]) ).
fof(f2620,plain,
( nil = app(tl(sK58),sF61)
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_15
| spl65_17
| ~ spl65_27 ),
inference(forward_demodulation,[],[f2601,f946]) ).
fof(f2651,plain,
( nil != nil
| nil = tl(sK58)
| ~ ssList(sF61)
| ~ ssList(tl(sK58))
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_15
| spl65_17
| ~ spl65_27 ),
inference(superposition,[],[f478,f2620]) ).
fof(f2657,plain,
( nil = tl(sK58)
| ~ ssList(sF61)
| ~ ssList(tl(sK58))
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_15
| spl65_17
| ~ spl65_27 ),
inference(trivial_inequality_removal,[],[f2651]) ).
fof(f2661,plain,
( ~ ssList(sF61)
| ~ ssList(tl(sK58))
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_15
| spl65_17
| ~ spl65_27
| spl65_49 ),
inference(forward_subsumption_resolution,[],[f2657,f1445]) ).
fof(f2666,plain,
( ~ ssList(tl(sK58))
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_15
| spl65_17
| ~ spl65_27
| spl65_49 ),
inference(forward_subsumption_resolution,[],[f2661,f661]) ).
fof(f2672,plain,
( $false
| ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_15
| spl65_17
| ~ spl65_27
| ~ spl65_46
| spl65_49 ),
inference(forward_subsumption_resolution,[],[f2666,f1432]) ).
fof(f2673,plain,
( ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_15
| spl65_17
| ~ spl65_27
| ~ spl65_46
| spl65_49 ),
inference(avatar_contradiction_clause,[],[f2672]) ).
cnf(s5,plain,
( spl65_1
| spl65_5 ),
inference(sat_conversion,[],[f585]) ).
cnf(s7,plain,
( spl65_1
| spl65_6 ),
inference(sat_conversion,[],[f591]) ).
cnf(s9,plain,
( spl65_7
| spl65_8 ),
inference(sat_conversion,[],[f601]) ).
cnf(s17,plain,
spl65_9,
inference(sat_conversion,[],[f631]) ).
cnf(s21,plain,
( ~ spl65_5
| ~ spl65_6
| ~ spl65_7
| ~ spl65_9
| ~ spl65_15 ),
inference(sat_conversion,[],[f831]) ).
cnf(s36,plain,
( ~ spl65_1
| ~ spl65_9 ),
inference(sat_conversion,[],[f1164]) ).
cnf(s67,plain,
( ~ spl65_5
| ~ spl65_6
| ~ spl65_8
| ~ spl65_9
| ~ spl65_68
| ~ spl65_70
| spl65_71 ),
inference(sat_conversion,[],[f1661]) ).
cnf(s68,plain,
( ~ spl65_5
| ~ spl65_6
| ~ spl65_8
| ~ spl65_9
| spl65_68 ),
inference(sat_conversion,[],[f1666]) ).
cnf(s75,plain,
( ~ spl65_5
| ~ spl65_6
| ~ spl65_8
| ~ spl65_9
| spl65_70 ),
inference(sat_conversion,[],[f1755]) ).
cnf(s97,plain,
( spl65_17
| spl65_46 ),
inference(sat_conversion,[],[f1995]) ).
cnf(s98,plain,
( ~ spl65_9
| spl65_22 ),
inference(sat_conversion,[],[f1997]) ).
cnf(s99,plain,
( ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_17
| ~ spl65_71 ),
inference(sat_conversion,[],[f2071]) ).
cnf(s120,plain,
( ~ spl65_9
| spl65_27 ),
inference(sat_conversion,[],[f2561]) ).
cnf(s122,plain,
( ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| spl65_15
| ~ spl65_22
| ~ spl65_27 ),
inference(sat_conversion,[],[f2571]) ).
cnf(s125,plain,
( ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| spl65_17
| ~ spl65_22
| ~ spl65_27
| ~ spl65_49 ),
inference(sat_conversion,[],[f2597]) ).
cnf(s127,plain,
( ~ spl65_5
| ~ spl65_6
| ~ spl65_9
| ~ spl65_15
| spl65_17
| ~ spl65_27
| ~ spl65_46
| spl65_49 ),
inference(sat_conversion,[],[f2673]) ).
cnf(s128,plain,
spl65_27,
inference(rat,[],[s120,s17]) ).
cnf(s129,plain,
spl65_22,
inference(rat,[],[s98,s17]) ).
cnf(s130,plain,
~ spl65_1,
inference(rat,[],[s36,s17]) ).
cnf(s137,plain,
spl65_6,
inference(rat,[],[s7,s130]) ).
cnf(s138,plain,
spl65_5,
inference(rat,[],[s5,s130]) ).
cnf(s140,plain,
spl65_15,
inference(rat,[],[s122,s128,s129,s137,s17,s138]) ).
cnf(s141,plain,
~ spl65_7,
inference(rat,[],[s21,s140,s17,s137,s138]) ).
cnf(s142,plain,
spl65_8,
inference(rat,[],[s9,s141]) ).
cnf(s143,plain,
spl65_70,
inference(rat,[],[s75,s138,s17,s137,s142]) ).
cnf(s144,plain,
spl65_68,
inference(rat,[],[s68,s138,s17,s137,s142]) ).
cnf(s146,plain,
spl65_71,
inference(rat,[],[s67,s142,s143,s138,s17,s137,s144]) ).
cnf(s149,plain,
~ spl65_17,
inference(rat,[],[s99,s138,s137,s17,s146]) ).
cnf(s150,plain,
spl65_46,
inference(rat,[],[s97,s149]) ).
cnf(s152,plain,
~ spl65_49,
inference(rat,[],[s125,s138,s128,s129,s137,s17,s149]) ).
cnf(s153,plain,
$false,
inference(rat,[],[s127,s152,s140,s128,s138,s137,s17,s150,s149]) ).
fof(f2675,plain,
$false,
inference(avatar_sat_refutation,[],[s153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC183+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n014.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 08:20:54 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 Running first-order theorem proving
% 0.11/0.39 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
% 5.11/2.14 % (1627903)Detected formulas, will run a generic FOF schedule.
% 5.11/2.14 % (1627912)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=501248975:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.11/2.14 % (1627912)Instruction limit reached!
% 5.11/2.14 % (1627912)------------------------------
% 5.11/2.14 % (1627912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/2.14 % (1627912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/2.14 % (1627912)CaDiCaL version: 2.1.3
% 5.11/2.14 % (1627912)Termination reason: Instruction limit
% 5.11/2.14 % (1627912)Termination phase: Saturation
% 5.11/2.14 % (1627912)Time elapsed: 0.036 s
% 5.11/2.14 % (1627912)Peak memory usage: 88 MB
% 5.11/2.14 % (1627912)Instructions burned: 119 (million)
% 5.11/2.14 % (1627909)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=514043178:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.11/2.14 % (1627914)dis-21_1_sil=8000:lcm=predicate:random_seed=2558253047: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)
% 5.11/2.14 % (1627911)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=593854180:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.11/2.14 % (1627908)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=759611295:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.11/2.14 % (1627910)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=471933747:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.11/2.14 % (1627913)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=580333240:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.11/2.14 % (1627911)Instruction limit reached!
% 5.11/2.14 % (1627911)------------------------------
% 5.11/2.14 % (1627911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/2.14 % (1627911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/2.14 % (1627911)CaDiCaL version: 2.1.3
% 5.11/2.14 % (1627911)Termination reason: Instruction limit
% 5.11/2.14 % (1627911)Termination phase: Saturation
% 5.11/2.14 % (1627911)Time elapsed: 0.069 s
% 5.11/2.14 % (1627911)Peak memory usage: 89 MB
% 5.11/2.14 % (1627911)Instructions burned: 109 (million)
% 5.11/2.14 % (1627914)Instruction limit reached!
% 5.11/2.14 % (1627914)------------------------------
% 5.11/2.14 % (1627914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/2.14 % (1627914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/2.14 % (1627914)CaDiCaL version: 2.1.3
% 5.11/2.14 % (1627914)Termination reason: Instruction limit
% 5.11/2.14 % (1627914)Termination phase: Saturation
% 5.11/2.14 % (1627914)Time elapsed: 0.070 s
% 5.11/2.14 % (1627914)Peak memory usage: 90 MB
% 5.11/2.14 % (1627914)Instructions burned: 130 (million)
% 5.11/2.14 % (1627913)Instruction limit reached!
% 5.11/2.14 % (1627913)------------------------------
% 5.11/2.14 % (1627913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/2.14 % (1627913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/2.14 % (1627913)CaDiCaL version: 2.1.3
% 5.11/2.14 % (1627913)Termination reason: Instruction limit
% 5.11/2.14 % (1627913)Termination phase: Saturation
% 5.11/2.14 % (1627913)Time elapsed: 0.096 s
% 5.11/2.14 % (1627913)Peak memory usage: 90 MB
% 5.11/2.14 % (1627913)Instructions burned: 139 (million)
% 5.11/2.14 % (1627916)lrs+10_1_sil=8000:sp=occurrence:random_seed=2581109818:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.11/2.14 % (1627916)Instruction limit reached!
% 5.11/2.14 % (1627916)------------------------------
% 5.11/2.14 % (1627916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/2.14 % (1627916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/2.14 % (1627916)CaDiCaL version: 2.1.3
% 5.11/2.14 % (1627916)Termination reason: Instruction limit
% 5.11/2.14 % (1627916)Termination phase: Saturation
% 5.11/2.14 % (1627916)Time elapsed: 0.094 s
% 5.11/2.14 % (1627916)Peak memory usage: 92 MB
% 5.11/2.14 % (1627916)Instructions burned: 288 (million)
% 5.11/2.14 % (1627923)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2293141953:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.11/2.14 % (1627924)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3433992762:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.11/2.14 % (1627925)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=1691589408:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.11/2.14 % (1627923)Instruction limit reached!
% 5.11/2.14 % (1627923)------------------------------
% 5.11/2.14 % (1627923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/2.14 % (1627923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/2.14 % (1627923)CaDiCaL version: 2.1.3
% 5.11/2.14 % (1627923)Termination reason: Instruction limit
% 5.11/2.14 % (1627923)Termination phase: Saturation
% 5.11/2.14 % (1627923)Time elapsed: 0.081 s
% 5.11/2.14 % (1627923)Peak memory usage: 94 MB
% 5.11/2.14 % (1627923)Instructions burned: 157 (million)
% 5.11/2.14 % (1627927)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2845876236:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 5.11/2.14 % (1627925)Instruction limit reached!
% 5.11/2.14 % (1627925)------------------------------
% 5.11/2.14 % (1627925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/2.14 % (1627925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/2.14 % (1627925)CaDiCaL version: 2.1.3
% 5.11/2.14 % (1627925)Termination reason: Instruction limit
% 5.11/2.14 % (1627925)Termination phase: Saturation
% 5.11/2.14 % (1627925)Time elapsed: 0.120 s
% 5.11/2.14 % (1627925)Peak memory usage: 95 MB
% 5.11/2.14 % (1627925)Instructions burned: 249 (million)
% 5.11/2.14 % (1627927)Instruction limit reached!
% 5.11/2.14 % (1627927)------------------------------
% 5.11/2.14 % (1627927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/2.14 % (1627927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/2.14 % (1627927)CaDiCaL version: 2.1.3
% 5.11/2.14 % (1627927)Termination reason: Instruction limit
% 5.11/2.14 % (1627927)Termination phase: Saturation
% 5.11/2.14 % (1627927)Time elapsed: 0.092 s
% 5.11/2.14 % (1627927)Peak memory usage: 90 MB
% 5.11/2.14 % (1627927)Instructions burned: 298 (million)
% 5.11/2.14 % (1627924)Instruction limit reached!
% 5.11/2.14 % (1627924)------------------------------
% 5.11/2.14 % (1627924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/2.14 % (1627924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/2.14 % (1627924)CaDiCaL version: 2.1.3
% 5.11/2.14 % (1627924)Termination reason: Instruction limit
% 5.11/2.14 % (1627924)Termination phase: Saturation
% 5.11/2.14 % (1627924)Time elapsed: 0.206 s
% 5.11/2.14 % (1627924)Peak memory usage: 92 MB
% 5.11/2.14 % (1627924)Instructions burned: 326 (million)
% 5.11/2.14 % (1627931)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1911232225:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.11/2.14 % (1627933)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1111611238:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.11/2.14 % (1627935)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2978073291:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 5.11/2.14 % (1627933)Instruction limit reached!
% 5.11/2.14 % (1627933)------------------------------
% 5.11/2.14 % (1627933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/2.14 % (1627933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/2.14 % (1627933)CaDiCaL version: 2.1.3
% 5.11/2.14 % (1627933)Termination reason: Instruction limit
% 5.11/2.14 % (1627933)Termination phase: Saturation
% 5.11/2.14 % (1627933)Time elapsed: 0.078 s
% 5.11/2.14 % (1627933)Peak memory usage: 90 MB
% 5.11/2.14 % (1627933)Instructions burned: 114 (million)
% 5.11/2.14 % (1627935)Instruction limit reached!
% 5.11/2.14 % (1627935)------------------------------
% 5.11/2.14 % (1627935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/2.14 % (1627935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/2.14 % (1627935)CaDiCaL version: 2.1.3
% 5.11/2.14 % (1627935)Termination reason: Instruction limit
% 5.11/2.14 % (1627935)Termination phase: Saturation
% 5.11/2.14 % (1627935)Time elapsed: 0.036 s
% 5.11/2.14 % (1627935)Peak memory usage: 89 MB
% 5.11/2.14 % (1627935)Instructions burned: 116 (million)
% 5.11/2.14 % (1627934)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2084654234:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.11/2.14 % (1627934)Instruction limit reached!
% 5.11/2.14 % (1627934)------------------------------
% 5.11/2.14 % (1627934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/2.14 % (1627934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/2.14 % (1627934)CaDiCaL version: 2.1.3
% 5.11/2.14 % (1627934)Termination reason: Instruction limit
% 5.11/2.14 % (1627934)Termination phase: Saturation
% 5.11/2.14 % (1627934)Time elapsed: 0.064 s
% 5.11/2.14 % (1627934)Peak memory usage: 90 MB
% 5.11/2.14 % (1627934)Instructions burned: 127 (million)
% 5.11/2.14 % (1627941)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2722823117:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 5.11/2.14 % (1627940)lrs+10_1_sil=8000:sp=occurrence:random_seed=895977507:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 5.11/2.14 % (1627942)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4022111939:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 5.11/2.14 % (1627941)Instruction limit reached!
% 5.11/2.14 % (1627941)------------------------------
% 5.11/2.14 % (1627941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/2.14 % (1627941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/2.14 % (1627941)CaDiCaL version: 2.1.3
% 5.11/2.14 % (1627941)Termination reason: Instruction limit
% 5.11/2.14 % (1627941)Termination phase: Saturation
% 5.11/2.14 % (1627941)Time elapsed: 0.140 s
% 5.11/2.14 % (1627941)Peak memory usage: 93 MB
% 5.11/2.14 % (1627941)Instructions burned: 437 (million)
% 5.11/2.14 % (1627908)First to succeed.
% 5.11/2.14 % (1627908)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1627903"
% 5.11/2.14 % (1627946)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3904132416:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 5.11/2.14 % (1627946)Instruction limit reached!
% 5.11/2.14 % (1627946)------------------------------
% 5.11/2.14 % (1627946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/2.14 % (1627946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/2.14 % (1627946)CaDiCaL version: 2.1.3
% 5.11/2.14 % (1627946)Termination reason: Instruction limit
% 5.11/2.14 % (1627946)Termination phase: Saturation
% 5.11/2.14 % (1627946)Time elapsed: 0.033 s
% 5.11/2.14 % (1627946)Peak memory usage: 90 MB
% 5.11/2.14 % (1627946)Instructions burned: 140 (million)
% 5.11/2.14 % (1627908)Refutation found. Thanks to Tanya!
% 5.11/2.14 % SZS status Theorem for theBenchmark
% 5.11/2.14 % SZS output start Proof for theBenchmark
% See solution above
% 9.78/2.33 % (1627908)------------------------------
% 9.78/2.33 % (1627908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.78/2.33 % (1627908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/2.33 % (1627908)CaDiCaL version: 2.1.3
% 9.78/2.33 % (1627908)Termination reason: Refutation
% 9.78/2.33 % (1627908)Time elapsed: 0.856 s
% 9.78/2.33 % (1627908)Peak memory usage: 132 MB
% 9.78/2.33 % (1627908)Instructions burned: 1284 (million)
% 9.78/2.33 % (1627908)------------------------------
% 9.78/2.33 % (1627908)------------------------------
% 9.78/2.33 % (1627903)Success in time 1.3 s
% 9.78/2.33 % Vampire exiting
%------------------------------------------------------------------------------