%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC160+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 01:02:43 PM UTC 2026
% Result : Theorem 8.74s 2.11s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 27
% Syntax : Number of formulae : 198 ( 37 unt; 16 def)
% Number of atoms : 760 ( 112 equ)
% Maximal formula atoms : 30 ( 3 avg)
% Number of connectives : 956 ( 394 ~; 387 |; 106 &)
% ( 21 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 17 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-2 aty)
% Number of variables : 184 ( 0 sgn 144 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderedP(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
=> lt(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f29,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ( leq(X0,X1)
& leq(X1,X0) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f80,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X1,X2) = app(X1,X0)
=> X2 = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax80) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
fof(f90,axiom,
! [X0] :
( ssItem(X0)
=> ~ lt(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax90) ).
fof(f93,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
<=> ( X0 != X1
& leq(X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax93) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssList(X4)
=> ( app(X2,X4) != X3
| ~ strictorderedP(X2)
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X2
& lt(X7,X5) ) ) ) ) ) )
| ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssList(X11)
=> ! [X12] :
( ssList(X12)
=> ! [X13] :
( ssList(X13)
=> ( app(app(app(app(X11,cons(X9,nil)),X12),cons(X10,nil)),X13) != X0
| ~ leq(X10,X9)
| ( ! [X14] :
( ssItem(X14)
=> ( ~ memberP(X12,X14)
| ( leq(X9,X14)
& leq(X14,X10) ) ) )
& leq(X9,X10) ) ) ) ) ) ) )
| ( nil != X3
& nil = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssList(X4)
=> ( app(X2,X4) != X3
| ~ strictorderedP(X2)
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& app(cons(X5,nil),X6) = X4
& ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X2
& lt(X7,X5) ) ) ) ) ) )
| ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssList(X11)
=> ! [X12] :
( ssList(X12)
=> ! [X13] :
( ssList(X13)
=> ( app(app(app(app(X11,cons(X9,nil)),X12),cons(X10,nil)),X13) != X0
| ~ leq(X10,X9)
| ( ! [X14] :
( ssItem(X14)
=> ( ~ memberP(X12,X14)
| ( leq(X9,X14)
& leq(X14,X10) ) ) )
& leq(X9,X10) ) ) ) ) ) ) )
| ( nil != X3
& nil = X2 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( app(X2,X4) = X3
& strictorderedP(X2)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != X4
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X7,nil)) != X2
| ~ lt(X7,X5) ) ) ) )
& ssList(X4) )
& ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( app(app(app(app(X11,cons(X9,nil)),X12),cons(X10,nil)),X13) = X0
& leq(X10,X9)
& ( ? [X14] :
( memberP(X12,X14)
& ( ~ leq(X9,X14)
| ~ leq(X14,X10) )
& ssItem(X14) )
| ~ leq(X9,X10) )
& ssList(X13) )
& ssList(X12) )
& ssList(X11) )
& ssItem(X10) )
& ssItem(X9) )
& ( nil = X3
| nil != X2 )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( app(X2,X4) = X3
& strictorderedP(X2)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != X4
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X7,nil)) != X2
| ~ lt(X7,X5) ) ) ) )
& ssList(X4) )
& ? [X9] :
( ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( app(app(app(app(X11,cons(X9,nil)),X12),cons(X10,nil)),X13) = X0
& leq(X10,X9)
& ( ? [X14] :
( memberP(X12,X14)
& ( ~ leq(X9,X14)
| ~ leq(X14,X10) )
& ssItem(X14) )
| ~ leq(X9,X10) )
& ssList(X13) )
& ssList(X12) )
& ssList(X11) )
& ssItem(X10) )
& ssItem(X9) )
& ( nil = X3
| nil != X2 )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X0
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = X0
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f111]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f125]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ( lt(X0,X1)
<=> ( X0 != X1
& leq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f132,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f139,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(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,[],[f12]) ).
fof(f140,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(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,[],[f139]) ).
fof(f141,plain,
( sK1 = sK3
& sK0 = sK2
& sK3 = app(sK2,sK4)
& strictorderedP(sK2)
& ! [X5] :
( ~ ssItem(X5)
| ! [X6] :
( ~ ssList(X6)
| app(cons(X5,nil),X6) != sK4
| ! [X7] :
( ~ ssItem(X7)
| ! [X8] :
( ~ ssList(X8)
| app(X8,cons(X7,nil)) != sK2
| ~ lt(X7,X5) ) ) ) )
& ssList(sK4)
& sK0 = app(app(app(app(sK7,cons(sK5,nil)),sK8),cons(sK6,nil)),sK9)
& leq(sK6,sK5)
& ( ( memberP(sK8,sK10)
& ( ~ leq(sK5,sK10)
| ~ leq(sK10,sK6) )
& ssItem(sK10) )
| ~ leq(sK5,sK6) )
& ssList(sK9)
& ssList(sK8)
& ssList(sK7)
& ssItem(sK6)
& ssItem(sK5)
& ( nil = sK3
| nil != sK2 )
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X9,sK5),skolemize(X10,sK6),skolemize(X11,sK7),skolemize(X12,sK8),skolemize(X13,sK9),skolemize(X14,sK10)],[f99]) ).
fof(f153,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1) )
& ( ( X0 != X1
& leq(X0,X1) )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f127]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1) )
& ( ( X0 != X1
& leq(X0,X1) )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f153]) ).
fof(f157,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(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] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f140]) ).
fof(f158,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(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] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f157]) ).
fof(f159,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ( ~ lt(sK17(X0),sK18(X0))
& app(app(sK19(X0),cons(sK17(X0),sK20(X0))),cons(sK18(X0),sK21(X0))) = X0
& ssList(sK21(X0))
& ssList(sK20(X0))
& ssList(sK19(X0))
& ssItem(sK18(X0))
& ssItem(sK17(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ strictorderedP(X0) ) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20,sK21]),skolemize(X1,sK17(X0)),skolemize(X2,sK18(X0)),skolemize(X3,sK19(X0)),skolemize(X4,sK20(X0)),skolemize(X5,sK21(X0))],[f158]) ).
fof(f160,plain,
ssList(sK0),
inference(cnf_transformation,[],[f141]) ).
fof(f165,plain,
ssItem(sK5),
inference(cnf_transformation,[],[f141]) ).
fof(f166,plain,
ssItem(sK6),
inference(cnf_transformation,[],[f141]) ).
fof(f167,plain,
ssList(sK7),
inference(cnf_transformation,[],[f141]) ).
fof(f168,plain,
ssList(sK8),
inference(cnf_transformation,[],[f141]) ).
fof(f169,plain,
ssList(sK9),
inference(cnf_transformation,[],[f141]) ).
fof(f173,plain,
leq(sK6,sK5),
inference(cnf_transformation,[],[f141]) ).
fof(f174,plain,
sK0 = app(app(app(app(sK7,cons(sK5,nil)),sK8),cons(sK6,nil)),sK9),
inference(cnf_transformation,[],[f141]) ).
fof(f177,plain,
strictorderedP(sK2),
inference(cnf_transformation,[],[f141]) ).
fof(f179,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f141]) ).
fof(f191,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f196,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f197,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f198,plain,
! [X2,X0,X1] :
( app(X1,X2) != app(X1,X0)
| X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f202,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f203,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f217,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f218,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f223,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f233,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ strictorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f248,plain,
! [X10,X8,X6,X9,X7] :
( ~ strictorderedP(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| lt(X6,X7)
| ~ ssList(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f233]) ).
fof(f260,definition,
( spl22_3
<=> leq(sK5,sK6) ),
introduced(definition,[new_symbols(definition,[spl22_3])],[avatar_definition]) ).
fof(f261,plain,
( ~ leq(sK5,sK6)
| spl22_3 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f277,plain,
( ~ leq(sK5,sK6)
| sK5 = sK6
| ~ ssItem(sK6)
| ~ ssItem(sK5) ),
inference(resolution,[],[f173,f217]) ).
fof(f278,plain,
( ~ leq(sK5,sK6)
| sK5 = sK6
| ~ ssItem(sK5) ),
inference(forward_subsumption_resolution,[],[f277,f166]) ).
fof(f279,plain,
( ~ leq(sK5,sK6)
| sK5 = sK6 ),
inference(forward_subsumption_resolution,[],[f278,f165]) ).
fof(f281,definition,
( spl22_8
<=> sK5 = sK6 ),
introduced(definition,[new_symbols(definition,[spl22_8])],[avatar_definition]) ).
fof(f282,plain,
( sK5 = sK6
| ~ spl22_8 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f283,plain,
( spl22_8
| ~ spl22_3 ),
inference(avatar_split_clause,[],[f279,f260,f281]) ).
fof(f284,plain,
strictorderedP(sK0),
inference(superposition,[],[f177,f179]) ).
fof(f288,plain,
( ~ lt(sK5,sK6)
| ~ ssItem(sK6)
| ~ ssItem(sK5)
| spl22_3 ),
inference(resolution,[],[f261,f218]) ).
fof(f291,plain,
( ~ lt(sK5,sK6)
| ~ ssItem(sK5)
| spl22_3 ),
inference(forward_subsumption_resolution,[],[f288,f166]) ).
fof(f293,plain,
( ~ lt(sK5,sK6)
| spl22_3 ),
inference(forward_subsumption_resolution,[],[f291,f165]) ).
fof(f344,plain,
( sK0 = app(app(app(sK7,app(cons(sK5,nil),sK8)),cons(sK6,nil)),sK9)
| ~ ssList(sK8)
| ~ ssList(cons(sK5,nil))
| ~ ssList(sK7) ),
inference(superposition,[],[f174,f196]) ).
fof(f346,plain,
( sK0 = app(app(app(sK7,cons(sK5,nil)),sK8),app(cons(sK6,nil),sK9))
| ~ ssList(sK9)
| ~ ssList(cons(sK6,nil))
| ~ ssList(app(app(sK7,cons(sK5,nil)),sK8)) ),
inference(superposition,[],[f174,f196]) ).
fof(f368,plain,
( sK0 = app(app(app(sK7,cons(sK5,nil)),sK8),app(cons(sK6,nil),sK9))
| ~ ssList(cons(sK6,nil))
| ~ ssList(app(app(sK7,cons(sK5,nil)),sK8)) ),
inference(forward_subsumption_resolution,[],[f346,f169]) ).
fof(f370,plain,
( sK0 = app(app(app(sK7,app(cons(sK5,nil),sK8)),cons(sK6,nil)),sK9)
| ~ ssList(cons(sK5,nil))
| ~ ssList(sK7) ),
inference(forward_subsumption_resolution,[],[f344,f168]) ).
fof(f372,definition,
( spl22_11
<=> ssList(app(app(sK7,cons(sK5,nil)),sK8)) ),
introduced(definition,[new_symbols(definition,[spl22_11])],[avatar_definition]) ).
fof(f373,plain,
( ~ ssList(app(app(sK7,cons(sK5,nil)),sK8))
| spl22_11 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f375,definition,
( spl22_12
<=> ssList(cons(sK6,nil)) ),
introduced(definition,[new_symbols(definition,[spl22_12])],[avatar_definition]) ).
fof(f376,plain,
( ~ ssList(cons(sK6,nil))
| spl22_12 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f378,definition,
( spl22_13
<=> sK0 = app(app(app(sK7,cons(sK5,nil)),sK8),app(cons(sK6,nil),sK9)) ),
introduced(definition,[new_symbols(definition,[spl22_13])],[avatar_definition]) ).
fof(f379,plain,
( sK0 = app(app(app(sK7,cons(sK5,nil)),sK8),app(cons(sK6,nil),sK9))
| ~ spl22_13 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f410,plain,
( ~ spl22_11
| ~ spl22_12
| spl22_13 ),
inference(avatar_split_clause,[],[f368,f378,f375,f372]) ).
fof(f418,plain,
( sK0 = app(app(app(sK7,app(cons(sK5,nil),sK8)),cons(sK6,nil)),sK9)
| ~ ssList(cons(sK5,nil)) ),
inference(forward_subsumption_resolution,[],[f370,f167]) ).
fof(f420,definition,
( spl22_23
<=> ssList(cons(sK5,nil)) ),
introduced(definition,[new_symbols(definition,[spl22_23])],[avatar_definition]) ).
fof(f421,plain,
( ~ ssList(cons(sK5,nil))
| spl22_23 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f423,definition,
( spl22_24
<=> sK0 = app(app(app(sK7,app(cons(sK5,nil),sK8)),cons(sK6,nil)),sK9) ),
introduced(definition,[new_symbols(definition,[spl22_24])],[avatar_definition]) ).
fof(f424,plain,
( sK0 = app(app(app(sK7,app(cons(sK5,nil),sK8)),cons(sK6,nil)),sK9)
| ~ spl22_24 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f425,plain,
( ~ spl22_23
| spl22_24 ),
inference(avatar_split_clause,[],[f418,f423,f420]) ).
fof(f427,plain,
( ~ ssItem(sK6)
| ~ ssList(nil)
| spl22_12 ),
inference(resolution,[],[f376,f191]) ).
fof(f428,plain,
( ~ ssList(nil)
| spl22_12 ),
inference(forward_subsumption_resolution,[],[f427,f166]) ).
fof(f429,plain,
( $false
| spl22_12 ),
inference(forward_subsumption_resolution,[],[f428,f203]) ).
fof(f430,plain,
spl22_12,
inference(avatar_contradiction_clause,[],[f429]) ).
fof(f438,plain,
( ~ ssItem(sK5)
| ~ ssList(nil)
| spl22_23 ),
inference(resolution,[],[f421,f191]) ).
fof(f439,plain,
( ~ ssList(nil)
| spl22_23 ),
inference(forward_subsumption_resolution,[],[f438,f165]) ).
fof(f440,plain,
( $false
| spl22_23 ),
inference(forward_subsumption_resolution,[],[f439,f203]) ).
fof(f441,plain,
spl22_23,
inference(avatar_contradiction_clause,[],[f440]) ).
fof(f454,plain,
( ~ ssList(app(sK7,app(cons(sK5,nil),sK8)))
| ~ ssList(sK8)
| ~ ssList(cons(sK5,nil))
| ~ ssList(sK7)
| spl22_11 ),
inference(superposition,[],[f373,f196]) ).
fof(f455,plain,
( ~ ssList(app(sK7,app(cons(sK5,nil),sK8)))
| ~ ssList(cons(sK5,nil))
| ~ ssList(sK7)
| spl22_11 ),
inference(forward_subsumption_resolution,[],[f454,f168]) ).
fof(f457,plain,
( ~ ssList(app(sK7,app(cons(sK5,nil),sK8)))
| ~ ssList(cons(sK5,nil))
| spl22_11 ),
inference(forward_subsumption_resolution,[],[f455,f167]) ).
fof(f460,definition,
( spl22_25
<=> ssList(app(sK7,app(cons(sK5,nil),sK8))) ),
introduced(definition,[new_symbols(definition,[spl22_25])],[avatar_definition]) ).
fof(f461,plain,
( ~ ssList(app(sK7,app(cons(sK5,nil),sK8)))
| spl22_25 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f462,plain,
( ~ spl22_23
| ~ spl22_25
| spl22_11 ),
inference(avatar_split_clause,[],[f457,f372,f460,f420]) ).
fof(f582,plain,
( sK0 = app(app(app(sK7,cons(sK5,nil)),sK8),cons(sK6,sK9))
| ~ ssItem(sK6)
| ~ ssList(sK9)
| ~ spl22_13 ),
inference(superposition,[],[f379,f197]) ).
fof(f588,plain,
( ! [X0] :
( sK0 != app(app(app(sK7,cons(sK5,nil)),sK8),X0)
| app(cons(sK6,nil),sK9) = X0
| ~ ssList(app(cons(sK6,nil),sK9))
| ~ ssList(app(app(sK7,cons(sK5,nil)),sK8))
| ~ ssList(X0) )
| ~ spl22_13 ),
inference(superposition,[],[f198,f379]) ).
fof(f599,definition,
( spl22_29
<=> ssList(app(cons(sK6,nil),sK9)) ),
introduced(definition,[new_symbols(definition,[spl22_29])],[avatar_definition]) ).
fof(f600,plain,
( ~ ssList(app(cons(sK6,nil),sK9))
| spl22_29 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f619,definition,
( spl22_34
<=> ! [X0] :
( sK0 != app(app(app(sK7,cons(sK5,nil)),sK8),X0)
| ~ ssList(X0)
| app(cons(sK6,nil),sK9) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl22_34])],[avatar_definition]) ).
fof(f620,plain,
( ! [X0] :
( sK0 != app(app(app(sK7,cons(sK5,nil)),sK8),X0)
| ~ ssList(X0)
| app(cons(sK6,nil),sK9) = X0 )
| ~ spl22_34 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f622,plain,
( ~ spl22_11
| ~ spl22_29
| spl22_34
| ~ spl22_13 ),
inference(avatar_split_clause,[],[f588,f378,f619,f599,f372]) ).
fof(f629,plain,
( sK0 = app(app(app(sK7,cons(sK5,nil)),sK8),cons(sK6,sK9))
| ~ ssList(sK9)
| ~ spl22_13 ),
inference(forward_subsumption_resolution,[],[f582,f166]) ).
fof(f637,plain,
( sK0 = app(app(app(sK7,cons(sK5,nil)),sK8),cons(sK6,sK9))
| ~ spl22_13 ),
inference(forward_subsumption_resolution,[],[f629,f169]) ).
fof(f645,plain,
( ~ ssList(cons(sK6,sK9))
| ~ ssItem(sK6)
| ~ ssList(sK9)
| spl22_29 ),
inference(superposition,[],[f600,f197]) ).
fof(f648,plain,
( ~ ssItem(sK6)
| ~ ssList(sK9)
| spl22_29 ),
inference(forward_subsumption_resolution,[],[f645,f191]) ).
fof(f651,plain,
( ~ ssList(sK9)
| spl22_29 ),
inference(forward_subsumption_resolution,[],[f648,f166]) ).
fof(f654,plain,
( $false
| spl22_29 ),
inference(forward_subsumption_resolution,[],[f651,f169]) ).
fof(f655,plain,
spl22_29,
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f717,plain,
( sK0 = app(app(app(sK7,cons(sK5,sK8)),cons(sK6,nil)),sK9)
| ~ ssItem(sK5)
| ~ ssList(sK8)
| ~ spl22_24 ),
inference(superposition,[],[f424,f197]) ).
fof(f744,plain,
( sK0 = app(app(app(sK7,cons(sK5,sK8)),cons(sK6,nil)),sK9)
| ~ ssList(sK8)
| ~ spl22_24 ),
inference(forward_subsumption_resolution,[],[f717,f165]) ).
fof(f770,definition,
( spl22_51
<=> ssList(app(cons(sK5,nil),sK8)) ),
introduced(definition,[new_symbols(definition,[spl22_51])],[avatar_definition]) ).
fof(f771,plain,
( ~ ssList(app(cons(sK5,nil),sK8))
| spl22_51 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f777,plain,
( sK0 = app(app(app(sK7,cons(sK5,sK8)),cons(sK6,nil)),sK9)
| ~ spl22_24 ),
inference(forward_subsumption_resolution,[],[f744,f168]) ).
fof(f780,plain,
( ~ ssList(cons(sK5,sK8))
| ~ ssItem(sK5)
| ~ ssList(sK8)
| spl22_51 ),
inference(superposition,[],[f771,f197]) ).
fof(f783,plain,
( ~ ssItem(sK5)
| ~ ssList(sK8)
| spl22_51 ),
inference(forward_subsumption_resolution,[],[f780,f191]) ).
fof(f786,plain,
( ~ ssList(sK8)
| spl22_51 ),
inference(forward_subsumption_resolution,[],[f783,f165]) ).
fof(f789,plain,
( $false
| spl22_51 ),
inference(forward_subsumption_resolution,[],[f786,f168]) ).
fof(f790,plain,
spl22_51,
inference(avatar_contradiction_clause,[],[f789]) ).
fof(f1052,plain,
( ~ ssList(app(cons(sK5,nil),sK8))
| ~ ssList(sK7)
| spl22_25 ),
inference(resolution,[],[f461,f202]) ).
fof(f1057,plain,
( ~ ssList(app(cons(sK5,nil),sK8))
| spl22_25 ),
inference(forward_subsumption_resolution,[],[f1052,f167]) ).
fof(f1060,plain,
( ~ spl22_51
| spl22_25 ),
inference(avatar_split_clause,[],[f1057,f460,f770]) ).
fof(f1104,definition,
( spl22_75
<=> ssList(cons(sK6,sK9)) ),
introduced(definition,[new_symbols(definition,[spl22_75])],[avatar_definition]) ).
fof(f1105,plain,
( ~ ssList(cons(sK6,sK9))
| spl22_75 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f1147,plain,
( ~ ssItem(sK6)
| ~ ssList(sK9)
| spl22_75 ),
inference(resolution,[],[f1105,f191]) ).
fof(f1148,plain,
( ~ ssList(sK9)
| spl22_75 ),
inference(forward_subsumption_resolution,[],[f1147,f166]) ).
fof(f1149,plain,
( $false
| spl22_75 ),
inference(forward_subsumption_resolution,[],[f1148,f169]) ).
fof(f1150,plain,
spl22_75,
inference(avatar_contradiction_clause,[],[f1149]) ).
fof(f1152,plain,
( sK0 = app(app(sK7,cons(sK5,sK8)),app(cons(sK6,nil),sK9))
| ~ ssList(sK9)
| ~ ssList(cons(sK6,nil))
| ~ ssList(app(sK7,cons(sK5,sK8)))
| ~ spl22_24 ),
inference(superposition,[],[f777,f196]) ).
fof(f1182,plain,
( sK0 = app(app(sK7,cons(sK5,sK8)),app(cons(sK6,nil),sK9))
| ~ ssList(cons(sK6,nil))
| ~ ssList(app(sK7,cons(sK5,sK8)))
| ~ spl22_24 ),
inference(forward_subsumption_resolution,[],[f1152,f169]) ).
fof(f1185,definition,
( spl22_86
<=> ssList(app(sK7,cons(sK5,sK8))) ),
introduced(definition,[new_symbols(definition,[spl22_86])],[avatar_definition]) ).
fof(f1186,plain,
( ~ ssList(app(sK7,cons(sK5,sK8)))
| spl22_86 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f1188,definition,
( spl22_87
<=> sK0 = app(app(sK7,cons(sK5,sK8)),app(cons(sK6,nil),sK9)) ),
introduced(definition,[new_symbols(definition,[spl22_87])],[avatar_definition]) ).
fof(f1189,plain,
( sK0 = app(app(sK7,cons(sK5,sK8)),app(cons(sK6,nil),sK9))
| ~ spl22_87 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f1213,plain,
( ~ spl22_86
| ~ spl22_12
| spl22_87
| ~ spl22_24 ),
inference(avatar_split_clause,[],[f1182,f423,f1188,f375,f1185]) ).
fof(f1215,definition,
( spl22_93
<=> ssList(cons(sK5,sK8)) ),
introduced(definition,[new_symbols(definition,[spl22_93])],[avatar_definition]) ).
fof(f1216,plain,
( ~ ssList(cons(sK5,sK8))
| spl22_93 ),
inference(avatar_component_clause,[],[f1215]) ).
fof(f1221,plain,
( ~ ssItem(sK5)
| ~ ssList(sK8)
| spl22_93 ),
inference(resolution,[],[f1216,f191]) ).
fof(f1222,plain,
( ~ ssList(sK8)
| spl22_93 ),
inference(forward_subsumption_resolution,[],[f1221,f165]) ).
fof(f1223,plain,
( $false
| spl22_93 ),
inference(forward_subsumption_resolution,[],[f1222,f168]) ).
fof(f1224,plain,
spl22_93,
inference(avatar_contradiction_clause,[],[f1223]) ).
fof(f1307,plain,
( ~ ssList(cons(sK5,sK8))
| ~ ssList(sK7)
| spl22_86 ),
inference(resolution,[],[f1186,f202]) ).
fof(f1308,plain,
( ~ ssList(cons(sK5,sK8))
| spl22_86 ),
inference(forward_subsumption_resolution,[],[f1307,f167]) ).
fof(f1309,plain,
( ~ spl22_93
| spl22_86 ),
inference(avatar_split_clause,[],[f1308,f1185,f1215]) ).
fof(f2176,plain,
( sK0 != sK0
| ~ ssList(cons(sK6,sK9))
| app(cons(sK6,nil),sK9) = cons(sK6,sK9)
| ~ spl22_13
| ~ spl22_34 ),
inference(superposition,[],[f620,f637]) ).
fof(f2180,plain,
( ~ ssList(cons(sK6,sK9))
| app(cons(sK6,nil),sK9) = cons(sK6,sK9)
| ~ spl22_13
| ~ spl22_34 ),
inference(trivial_inequality_removal,[],[f2176]) ).
fof(f2188,definition,
( spl22_182
<=> app(cons(sK6,nil),sK9) = cons(sK6,sK9) ),
introduced(definition,[new_symbols(definition,[spl22_182])],[avatar_definition]) ).
fof(f2189,plain,
( app(cons(sK6,nil),sK9) = cons(sK6,sK9)
| ~ spl22_182 ),
inference(avatar_component_clause,[],[f2188]) ).
fof(f2190,plain,
( spl22_182
| ~ spl22_75
| ~ spl22_13
| ~ spl22_34 ),
inference(avatar_split_clause,[],[f2180,f619,f378,f1104,f2188]) ).
fof(f3982,plain,
( sK0 = app(app(sK7,cons(sK5,sK8)),cons(sK6,sK9))
| ~ spl22_87
| ~ spl22_182 ),
inference(forward_demodulation,[],[f1189,f2189]) ).
fof(f3986,plain,
( ~ strictorderedP(sK0)
| ~ ssList(sK9)
| ~ ssList(sK8)
| ~ ssList(sK7)
| ~ ssItem(sK6)
| ~ ssItem(sK5)
| lt(sK5,sK6)
| ~ ssList(sK0)
| ~ spl22_87
| ~ spl22_182 ),
inference(superposition,[],[f248,f3982]) ).
fof(f4007,plain,
( ~ ssList(sK9)
| ~ ssList(sK8)
| ~ ssList(sK7)
| ~ ssItem(sK6)
| ~ ssItem(sK5)
| lt(sK5,sK6)
| ~ ssList(sK0)
| ~ spl22_87
| ~ spl22_182 ),
inference(forward_subsumption_resolution,[],[f3986,f284]) ).
fof(f4033,plain,
( ~ ssList(sK8)
| ~ ssList(sK7)
| ~ ssItem(sK6)
| ~ ssItem(sK5)
| lt(sK5,sK6)
| ~ ssList(sK0)
| ~ spl22_87
| ~ spl22_182 ),
inference(forward_subsumption_resolution,[],[f4007,f169]) ).
fof(f4040,plain,
( ~ ssList(sK7)
| ~ ssItem(sK6)
| ~ ssItem(sK5)
| lt(sK5,sK6)
| ~ ssList(sK0)
| ~ spl22_87
| ~ spl22_182 ),
inference(forward_subsumption_resolution,[],[f4033,f168]) ).
fof(f4043,plain,
( ~ ssItem(sK6)
| ~ ssItem(sK5)
| lt(sK5,sK6)
| ~ ssList(sK0)
| ~ spl22_87
| ~ spl22_182 ),
inference(forward_subsumption_resolution,[],[f4040,f167]) ).
fof(f4044,plain,
( ~ ssItem(sK5)
| lt(sK5,sK6)
| ~ ssList(sK0)
| ~ spl22_87
| ~ spl22_182 ),
inference(forward_subsumption_resolution,[],[f4043,f166]) ).
fof(f4045,plain,
( lt(sK5,sK6)
| ~ ssList(sK0)
| ~ spl22_87
| ~ spl22_182 ),
inference(forward_subsumption_resolution,[],[f4044,f165]) ).
fof(f4046,plain,
( ~ ssList(sK0)
| spl22_3
| ~ spl22_87
| ~ spl22_182 ),
inference(forward_subsumption_resolution,[],[f4045,f293]) ).
fof(f4047,plain,
( $false
| spl22_3
| ~ spl22_87
| ~ spl22_182 ),
inference(forward_subsumption_resolution,[],[f4046,f160]) ).
fof(f4048,plain,
( spl22_3
| ~ spl22_87
| ~ spl22_182 ),
inference(avatar_contradiction_clause,[],[f4047]) ).
fof(f4049,plain,
( lt(sK5,sK6)
| ~ spl22_87
| ~ spl22_182 ),
inference(forward_subsumption_resolution,[],[f4045,f160]) ).
fof(f4154,plain,
( lt(sK5,sK5)
| ~ spl22_8
| ~ spl22_87
| ~ spl22_182 ),
inference(forward_demodulation,[],[f4049,f282]) ).
fof(f4166,plain,
( ~ ssItem(sK5)
| ~ spl22_8
| ~ spl22_87
| ~ spl22_182 ),
inference(resolution,[],[f4154,f223]) ).
fof(f4172,plain,
( $false
| ~ spl22_8
| ~ spl22_87
| ~ spl22_182 ),
inference(forward_subsumption_resolution,[],[f4166,f165]) ).
fof(f4173,plain,
( ~ spl22_8
| ~ spl22_87
| ~ spl22_182 ),
inference(avatar_contradiction_clause,[],[f4172]) ).
cnf(s5,plain,
( ~ spl22_3
| spl22_8 ),
inference(sat_conversion,[],[f283]) ).
cnf(s17,plain,
( ~ spl22_11
| ~ spl22_12
| spl22_13 ),
inference(sat_conversion,[],[f410]) ).
cnf(s19,plain,
( ~ spl22_23
| spl22_24 ),
inference(sat_conversion,[],[f425]) ).
cnf(s20,plain,
spl22_12,
inference(sat_conversion,[],[f430]) ).
cnf(s21,plain,
spl22_23,
inference(sat_conversion,[],[f441]) ).
cnf(s24,plain,
( spl22_11
| ~ spl22_23
| ~ spl22_25 ),
inference(sat_conversion,[],[f462]) ).
cnf(s35,plain,
( ~ spl22_11
| ~ spl22_13
| ~ spl22_29
| spl22_34 ),
inference(sat_conversion,[],[f622]) ).
cnf(s41,plain,
spl22_29,
inference(sat_conversion,[],[f655]) ).
cnf(s64,plain,
spl22_51,
inference(sat_conversion,[],[f790]) ).
cnf(s99,plain,
( spl22_25
| ~ spl22_51 ),
inference(sat_conversion,[],[f1060]) ).
cnf(s112,plain,
spl22_75,
inference(sat_conversion,[],[f1150]) ).
cnf(s122,plain,
( ~ spl22_12
| ~ spl22_24
| ~ spl22_86
| spl22_87 ),
inference(sat_conversion,[],[f1213]) ).
cnf(s124,plain,
spl22_93,
inference(sat_conversion,[],[f1224]) ).
cnf(s139,plain,
( spl22_86
| ~ spl22_93 ),
inference(sat_conversion,[],[f1309]) ).
cnf(s264,plain,
( ~ spl22_13
| ~ spl22_34
| ~ spl22_75
| spl22_182 ),
inference(sat_conversion,[],[f2190]) ).
cnf(s503,plain,
( spl22_3
| ~ spl22_87
| ~ spl22_182 ),
inference(sat_conversion,[],[f4048]) ).
cnf(s509,plain,
( ~ spl22_8
| ~ spl22_87
| ~ spl22_182 ),
inference(sat_conversion,[],[f4173]) ).
cnf(s540,plain,
spl22_86,
inference(rat,[],[s139,s124]) ).
cnf(s543,plain,
( ~ spl22_12
| ~ spl22_24
| spl22_87 ),
inference(rat,[],[s122,s540]) ).
cnf(s556,plain,
spl22_25,
inference(rat,[],[s99,s64]) ).
cnf(s564,plain,
( ~ spl22_11
| ~ spl22_13
| spl22_34 ),
inference(rat,[],[s35,s41]) ).
cnf(s571,plain,
( spl22_11
| ~ spl22_23 ),
inference(rat,[],[s24,s556]) ).
cnf(s572,plain,
spl22_11,
inference(rat,[],[s571,s21]) ).
cnf(s588,plain,
spl22_24,
inference(rat,[],[s19,s21]) ).
cnf(s597,plain,
spl22_87,
inference(rat,[],[s543,s20,s588]) ).
cnf(s702,plain,
spl22_13,
inference(rat,[],[s17,s20,s572]) ).
cnf(s718,plain,
spl22_34,
inference(rat,[],[s564,s572,s702]) ).
cnf(s736,plain,
spl22_182,
inference(rat,[],[s264,s702,s112,s718]) ).
cnf(s764,plain,
~ spl22_8,
inference(rat,[],[s509,s597,s736]) ).
cnf(s765,plain,
spl22_3,
inference(rat,[],[s503,s597,s736]) ).
cnf(s816,plain,
$false,
inference(rat,[],[s5,s764,s765]) ).
fof(f4174,plain,
$false,
inference(avatar_sat_refutation,[],[s816]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC160+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 08:15:10 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.74/2.11 % (3223025)Detected formulas, will run a generic FOF schedule.
% 8.74/2.11 % (3223034)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=991963714:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.74/2.11 % (3223034)Instruction limit reached!
% 8.74/2.11 % (3223034)------------------------------
% 8.74/2.11 % (3223034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.11 % (3223034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.11 % (3223034)CaDiCaL version: 2.1.3
% 8.74/2.11 % (3223034)Termination reason: Instruction limit
% 8.74/2.11 % (3223034)Termination phase: Saturation
% 8.74/2.11 % (3223034)Time elapsed: 0.038 s
% 8.74/2.11 % (3223034)Peak memory usage: 88 MB
% 8.74/2.11 % (3223034)Instructions burned: 120 (million)
% 8.74/2.11 % (3223036)dis-21_1_sil=8000:lcm=predicate:random_seed=1744212120: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)
% 8.74/2.11 % (3223030)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=1104147049:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.74/2.11 % (3223033)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=959815731:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.74/2.11 % (3223031)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=3188666748:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.74/2.11 % (3223032)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=4027972996:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.74/2.11 % (3223035)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3170223304:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.74/2.11 % (3223033)Instruction limit reached!
% 8.74/2.11 % (3223033)------------------------------
% 8.74/2.11 % (3223033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.11 % (3223033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.11 % (3223033)CaDiCaL version: 2.1.3
% 8.74/2.11 % (3223033)Termination reason: Instruction limit
% 8.74/2.11 % (3223033)Termination phase: Saturation
% 8.74/2.11 % (3223033)Time elapsed: 0.068 s
% 8.74/2.11 % (3223033)Peak memory usage: 89 MB
% 8.74/2.11 % (3223033)Instructions burned: 110 (million)
% 8.74/2.11 % (3223036)Instruction limit reached!
% 8.74/2.11 % (3223036)------------------------------
% 8.74/2.11 % (3223036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.11 % (3223036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.11 % (3223036)CaDiCaL version: 2.1.3
% 8.74/2.11 % (3223036)Termination reason: Instruction limit
% 8.74/2.11 % (3223036)Termination phase: Saturation
% 8.74/2.11 % (3223036)Time elapsed: 0.070 s
% 8.74/2.11 % (3223036)Peak memory usage: 91 MB
% 8.74/2.11 % (3223036)Instructions burned: 130 (million)
% 8.74/2.11 % (3223035)Instruction limit reached!
% 8.74/2.11 % (3223035)------------------------------
% 8.74/2.11 % (3223035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.11 % (3223035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.11 % (3223035)CaDiCaL version: 2.1.3
% 8.74/2.11 % (3223035)Termination reason: Instruction limit
% 8.74/2.11 % (3223035)Termination phase: Saturation
% 8.74/2.11 % (3223035)Time elapsed: 0.091 s
% 8.74/2.11 % (3223035)Peak memory usage: 90 MB
% 8.74/2.11 % (3223035)Instructions burned: 141 (million)
% 8.74/2.11 % (3223038)lrs+10_1_sil=8000:sp=occurrence:random_seed=3746600389:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.74/2.11 % (3223038)Instruction limit reached!
% 8.74/2.11 % (3223038)------------------------------
% 8.74/2.11 % (3223038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.11 % (3223038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.11 % (3223038)CaDiCaL version: 2.1.3
% 8.74/2.11 % (3223038)Termination reason: Instruction limit
% 8.74/2.11 % (3223038)Termination phase: Saturation
% 8.74/2.11 % (3223038)Time elapsed: 0.089 s
% 8.74/2.11 % (3223038)Peak memory usage: 93 MB
% 8.74/2.11 % (3223038)Instructions burned: 286 (million)
% 8.74/2.11 % (3223046)lrs+1011_1_sil=32000:sp=occurrence:random_seed=486626629:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.74/2.11 % (3223045)lrs+10_1_sil=32000:urr=on:br=off:random_seed=833652304:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.74/2.11 % (3223047)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=35635449:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.74/2.11 % (3223045)Instruction limit reached!
% 8.74/2.11 % (3223045)------------------------------
% 8.74/2.11 % (3223045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.11 % (3223045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.11 % (3223045)CaDiCaL version: 2.1.3
% 8.74/2.11 % (3223045)Termination reason: Instruction limit
% 8.74/2.11 % (3223045)Termination phase: Saturation
% 8.74/2.11 % (3223045)Time elapsed: 0.085 s
% 8.74/2.11 % (3223045)Peak memory usage: 94 MB
% 8.74/2.11 % (3223045)Instructions burned: 158 (million)
% 8.74/2.11 % (3223049)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=318014078:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 8.74/2.11 % (3223047)Instruction limit reached!
% 8.74/2.11 % (3223047)------------------------------
% 8.74/2.11 % (3223047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.11 % (3223047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.11 % (3223047)CaDiCaL version: 2.1.3
% 8.74/2.11 % (3223047)Termination reason: Instruction limit
% 8.74/2.11 % (3223047)Termination phase: Saturation
% 8.74/2.11 % (3223047)Time elapsed: 0.123 s
% 8.74/2.11 % (3223047)Peak memory usage: 95 MB
% 8.74/2.11 % (3223047)Instructions burned: 248 (million)
% 8.74/2.11 % (3223049)Instruction limit reached!
% 8.74/2.11 % (3223049)------------------------------
% 8.74/2.11 % (3223049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.11 % (3223049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.11 % (3223049)CaDiCaL version: 2.1.3
% 8.74/2.11 % (3223049)Termination reason: Instruction limit
% 8.74/2.11 % (3223049)Termination phase: Saturation
% 8.74/2.11 % (3223049)Time elapsed: 0.094 s
% 8.74/2.11 % (3223049)Peak memory usage: 90 MB
% 8.74/2.11 % (3223049)Instructions burned: 294 (million)
% 8.74/2.11 % (3223046)Instruction limit reached!
% 8.74/2.11 % (3223046)------------------------------
% 8.74/2.11 % (3223046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.11 % (3223046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.11 % (3223046)CaDiCaL version: 2.1.3
% 8.74/2.11 % (3223046)Termination reason: Instruction limit
% 8.74/2.11 % (3223046)Termination phase: Saturation
% 8.74/2.11 % (3223046)Time elapsed: 0.203 s
% 8.74/2.11 % (3223046)Peak memory usage: 92 MB
% 8.74/2.11 % (3223046)Instructions burned: 326 (million)
% 8.74/2.11 % (3223053)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=363087739:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 8.74/2.11 % (3223055)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2892336847:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.74/2.11 % (3223056)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3752025774:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 8.74/2.11 % (3223056)Instruction limit reached!
% 8.74/2.11 % (3223056)------------------------------
% 8.74/2.11 % (3223056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.11 % (3223056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.11 % (3223056)CaDiCaL version: 2.1.3
% 8.74/2.11 % (3223056)Termination reason: Instruction limit
% 8.74/2.11 % (3223056)Termination phase: Saturation
% 8.74/2.11 % (3223056)Time elapsed: 0.034 s
% 8.74/2.11 % (3223056)Peak memory usage: 90 MB
% 8.74/2.11 % (3223056)Instructions burned: 127 (million)
% 8.74/2.11 % (3223055)Instruction limit reached!
% 8.74/2.11 % (3223055)------------------------------
% 8.74/2.11 % (3223055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.11 % (3223055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.11 % (3223055)CaDiCaL version: 2.1.3
% 8.74/2.11 % (3223055)Termination reason: Instruction limit
% 8.74/2.11 % (3223055)Termination phase: Saturation
% 8.74/2.11 % (3223055)Time elapsed: 0.073 s
% 8.74/2.11 % (3223055)Peak memory usage: 90 MB
% 8.74/2.11 % (3223055)Instructions burned: 114 (million)
% 8.74/2.11 % (3223057)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2384591457:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 8.74/2.11 % (3223057)Instruction limit reached!
% 8.74/2.11 % (3223057)------------------------------
% 8.74/2.11 % (3223057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.11 % (3223057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.11 % (3223057)CaDiCaL version: 2.1.3
% 8.74/2.11 % (3223057)Termination reason: Instruction limit
% 8.74/2.11 % (3223057)Termination phase: Saturation
% 8.74/2.11 % (3223057)Time elapsed: 0.068 s
% 8.74/2.11 % (3223057)Peak memory usage: 89 MB
% 8.74/2.11 % (3223057)Instructions burned: 115 (million)
% 8.74/2.11 % (3223061)lrs+10_1_sil=8000:sp=occurrence:random_seed=3332181071:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.74/2.11 % (3223063)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2494153846:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 8.74/2.11 % (3223064)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1183150241:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 8.74/2.11 % (3223063)First to succeed.
% 8.74/2.11 % (3223063)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3223025"
% 8.74/2.11 % (3223032)Also succeeded, but the first one will report.
% 8.74/2.11 % (3223061)Instruction limit reached!
% 8.74/2.11 % (3223061)------------------------------
% 8.74/2.11 % (3223061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.74/2.11 % (3223061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.74/2.11 % (3223061)CaDiCaL version: 2.1.3
% 8.74/2.11 % (3223061)Termination reason: Instruction limit
% 8.74/2.11 % (3223061)Termination phase: Saturation
% 8.74/2.11 % (3223061)Time elapsed: 0.265 s
% 8.74/2.11 % (3223061)Peak memory usage: 100 MB
% 8.74/2.11 % (3223061)Instructions burned: 910 (million)
% 8.74/2.11 % (3223063)Refutation found. Thanks to Tanya!
% 8.74/2.11 % SZS status Theorem for theBenchmark
% 8.74/2.11 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/2.30 % (3223063)------------------------------
% 0.16/2.30 % (3223063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.30 % (3223063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.30 % (3223063)CaDiCaL version: 2.1.3
% 0.16/2.30 % (3223063)Termination reason: Refutation
% 0.16/2.30 % (3223063)Time elapsed: 0.088 s
% 0.16/2.30 % (3223063)Peak memory usage: 91 MB
% 0.16/2.30 % (3223063)Instructions burned: 140 (million)
% 0.16/2.30 % (3223063)------------------------------
% 0.16/2.30 % (3223063)------------------------------
% 0.16/2.30 % (3223025)Success in time 1.254 s
% 0.16/2.30 % Vampire exiting
%------------------------------------------------------------------------------