%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC163+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 : n026.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 01:02:44 PM UTC 2026
% Result : Theorem 3.56s 1.80s
% Output : Refutation 7.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 30
% Syntax : Number of formulae : 225 ( 26 unt; 15 def)
% Number of atoms : 966 ( 145 equ)
% Maximal formula atoms : 21 ( 4 avg)
% Number of connectives : 1302 ( 561 ~; 566 |; 101 &)
% ( 30 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 16 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-2 aty)
% Number of variables : 218 ( 0 sgn 189 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
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/sandbox/benchmark/theBenchmark.p',ax12) ).
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(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f70,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( strictorderedP(cons(X0,X1))
<=> ( nil = X1
| ( nil != X1
& strictorderedP(X1)
& lt(X0,hd(X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ax82) ).
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(f90,axiom,
! [X0] :
( ssItem(X0)
=> ~ lt(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ~ ssList(X7)
| app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| neq(X4,X5) ) ) ) )
| ( ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X2
| ~ memberP(X3,X8)
| ? [X9] :
( ssItem(X9)
& X8 != X9
& memberP(X3,X9)
& leq(X8,X9) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ~ ssList(X3)
| X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ~ ssList(X7)
| app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| neq(X4,X5) ) ) ) )
| ( ! [X8] :
( ~ ssItem(X8)
| cons(X8,nil) != X2
| ~ memberP(X3,X8)
| ? [X9] :
( ssItem(X9)
& X8 != X9
& memberP(X3,X9)
& leq(X8,X9) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& X0 = X2
& ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ssList(X7)
& app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& ~ neq(X4,X5) )
& ssList(X6) )
& ssItem(X5) )
& ssItem(X4) )
& ( ? [X8] :
( ssItem(X8)
& cons(X8,nil) = X2
& memberP(X3,X8)
& ! [X9] :
( ~ ssItem(X9)
| X8 = X9
| ~ memberP(X3,X9)
| ~ leq(X8,X9) ) )
| ( nil = X3
& nil = X2 ) ) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X1
& nil = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f101,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(f102,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f132,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f133,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(f134,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(f135,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(f167,plain,
! [X0] :
( ! [X1] :
( ( strictorderedP(cons(X0,X1))
<=> ( nil = X1
| ( nil != X1
& strictorderedP(X1)
& lt(X0,hd(X1)) ) ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f184,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f190,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(f191,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,[],[f190]) ).
fof(f211,plain,
( ssList(sK9)
& sK7 = sK9
& sK6 = sK8
& ssList(sK13)
& sK6 = app(app(app(sK12,cons(sK10,nil)),cons(sK11,nil)),sK13)
& ~ neq(sK10,sK11)
& ssList(sK12)
& ssItem(sK11)
& ssItem(sK10)
& ( ( ssItem(sK14)
& sK8 = cons(sK14,nil)
& memberP(sK9,sK14)
& ! [X9] :
( ~ ssItem(X9)
| sK14 = X9
| ~ memberP(sK9,X9)
| ~ leq(sK14,X9) ) )
| ( nil = sK9
& nil = sK8 ) )
& ssList(sK8)
& ssList(sK7)
& ssList(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8),skolemize(X3,sK9),skolemize(X4,sK10),skolemize(X5,sK11),skolemize(X6,sK12),skolemize(X7,sK13),skolemize(X8,sK14)],[f98]) ).
fof(f212,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,[],[f100]) ).
fof(f213,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,[],[f212]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f131]) ).
fof(f229,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,[],[f133]) ).
fof(f230,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,[],[f229]) ).
fof(f231,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,[],[f134]) ).
fof(f232,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,[],[f231]) ).
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,[],[f135]) ).
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(sK23(X0,X1))
& ssList(sK24(X0,X1))
& app(sK23(X0,X1),cons(X1,sK24(X0,X1))) = X0 )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24]),skolemize(X4,sK23(X0,X1)),skolemize(X5,sK24(X0,X1))],[f234]) ).
fof(f254,plain,
! [X0] :
( ! [X1] :
( ( ( strictorderedP(cons(X0,X1))
| ( nil != X1
& ( nil = X1
| ~ strictorderedP(X1)
| ~ lt(X0,hd(X1)) ) ) )
& ( nil = X1
| ( nil != X1
& strictorderedP(X1)
& lt(X0,hd(X1)) )
| ~ strictorderedP(cons(X0,X1)) ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f167]) ).
fof(f255,plain,
! [X0] :
( ! [X1] :
( ( ( strictorderedP(cons(X0,X1))
| ( nil != X1
& ( nil = X1
| ~ strictorderedP(X1)
| ~ lt(X0,hd(X1)) ) ) )
& ( nil = X1
| ( nil != X1
& strictorderedP(X1)
& lt(X0,hd(X1)) )
| ~ strictorderedP(cons(X0,X1)) ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f254]) ).
fof(f259,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,[],[f191]) ).
fof(f260,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,[],[f259]) ).
fof(f261,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ( ~ lt(sK41(X0),sK42(X0))
& app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),sK45(X0))) = X0
& ssList(sK45(X0))
& ssList(sK44(X0))
& ssList(sK43(X0))
& ssItem(sK42(X0))
& ssItem(sK41(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,[sK41,sK42,sK43,sK44,sK45]),skolemize(X1,sK41(X0)),skolemize(X2,sK42(X0)),skolemize(X3,sK43(X0)),skolemize(X4,sK44(X0)),skolemize(X5,sK45(X0))],[f260]) ).
fof(f266,plain,
ssList(sK6),
inference(cnf_transformation,[],[f211]) ).
fof(f273,plain,
( sK8 = cons(sK14,nil)
| nil = sK8 ),
inference(cnf_transformation,[],[f211]) ).
fof(f275,plain,
( ssItem(sK14)
| nil = sK8 ),
inference(cnf_transformation,[],[f211]) ).
fof(f277,plain,
ssItem(sK10),
inference(cnf_transformation,[],[f211]) ).
fof(f278,plain,
ssItem(sK11),
inference(cnf_transformation,[],[f211]) ).
fof(f279,plain,
ssList(sK12),
inference(cnf_transformation,[],[f211]) ).
fof(f280,plain,
~ neq(sK10,sK11),
inference(cnf_transformation,[],[f211]) ).
fof(f281,plain,
sK6 = app(app(app(sK12,cons(sK10,nil)),cons(sK11,nil)),sK13),
inference(cnf_transformation,[],[f211]) ).
fof(f282,plain,
ssList(sK13),
inference(cnf_transformation,[],[f211]) ).
fof(f283,plain,
sK6 = sK8,
inference(cnf_transformation,[],[f211]) ).
fof(f287,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f290,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f291,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f310,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f315,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f329,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f330,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f331,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f332,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| memberP(X2,X0)
| X0 = X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f337,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f341,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(f403,plain,
! [X0,X1] :
( strictorderedP(cons(X0,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f417,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f422,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,[],[f261]) ).
fof(f451,plain,
sK8 = app(app(app(sK12,cons(sK10,nil)),cons(sK11,nil)),sK13),
inference(definition_unfolding,[],[f281,f283]) ).
fof(f453,plain,
ssList(sK8),
inference(definition_unfolding,[],[f266,f283]) ).
fof(f463,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,[],[f341]) ).
fof(f471,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f403]) ).
fof(f475,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,[],[f422]) ).
fof(f484,definition,
( spl51_1
<=> nil = sK8 ),
introduced(definition,[new_symbols(definition,[spl51_1])],[avatar_definition]) ).
fof(f486,plain,
( nil = sK8
| ~ spl51_1 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f503,definition,
( spl51_5
<=> sK8 = cons(sK14,nil) ),
introduced(definition,[new_symbols(definition,[spl51_5])],[avatar_definition]) ).
fof(f505,plain,
( sK8 = cons(sK14,nil)
| ~ spl51_5 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f506,plain,
( spl51_1
| spl51_5 ),
inference(avatar_split_clause,[],[f273,f503,f484]) ).
fof(f509,definition,
( spl51_6
<=> ssItem(sK14) ),
introduced(definition,[new_symbols(definition,[spl51_6])],[avatar_definition]) ).
fof(f511,plain,
( ssItem(sK14)
| ~ spl51_6 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f512,plain,
( spl51_1
| spl51_6 ),
inference(avatar_split_clause,[],[f275,f509,f484]) ).
fof(f514,plain,
( sK10 = sK11
| ~ ssItem(sK11)
| ~ ssItem(sK10) ),
inference(resolution,[],[f280,f329]) ).
fof(f525,definition,
( spl51_9
<=> sK10 = sK11 ),
introduced(definition,[new_symbols(definition,[spl51_9])],[avatar_definition]) ).
fof(f527,plain,
( sK10 = sK11
| ~ spl51_9 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f529,plain,
( sK10 = sK11
| ~ ssItem(sK10) ),
inference(forward_subsumption_resolution,[],[f514,f278]) ).
fof(f530,plain,
sK10 = sK11,
inference(forward_subsumption_resolution,[],[f529,f277]) ).
fof(f531,plain,
spl51_9,
inference(avatar_split_clause,[],[f530,f525]) ).
fof(f533,plain,
( ssList(cons(sK14,nil))
| ~ spl51_5 ),
inference(superposition,[],[f453,f505]) ).
fof(f548,plain,
( sK8 = app(app(sK12,cons(sK10,nil)),app(cons(sK11,nil),sK13))
| ~ ssList(sK13)
| ~ ssList(cons(sK11,nil))
| ~ ssList(app(sK12,cons(sK10,nil))) ),
inference(superposition,[],[f451,f290]) ).
fof(f549,plain,
( nil != sK8
| nil = app(app(sK12,cons(sK10,nil)),cons(sK11,nil))
| ~ ssList(sK13)
| ~ ssList(app(app(sK12,cons(sK10,nil)),cons(sK11,nil))) ),
inference(superposition,[],[f287,f451]) ).
fof(f563,plain,
! [X0] :
( memberP(sK8,X0)
| ~ memberP(app(app(sK12,cons(sK10,nil)),cons(sK11,nil)),X0)
| ~ ssList(sK13)
| ~ ssList(app(app(sK12,cons(sK10,nil)),cons(sK11,nil)))
| ~ ssItem(X0) ),
inference(superposition,[],[f337,f451]) ).
fof(f576,plain,
! [X0] :
( memberP(sK8,X0)
| ~ memberP(app(app(sK12,cons(sK10,nil)),cons(sK11,nil)),X0)
| ~ ssList(app(app(sK12,cons(sK10,nil)),cons(sK11,nil)))
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f563,f282]) ).
fof(f588,plain,
( sK8 = app(app(sK12,cons(sK10,nil)),app(cons(sK11,nil),sK13))
| ~ ssList(cons(sK11,nil))
| ~ ssList(app(sK12,cons(sK10,nil))) ),
inference(forward_subsumption_resolution,[],[f548,f282]) ).
fof(f597,plain,
( ! [X0] :
( memberP(cons(sK14,nil),X0)
| ~ memberP(app(app(sK12,cons(sK10,nil)),cons(sK11,nil)),X0)
| ~ ssList(app(app(sK12,cons(sK10,nil)),cons(sK11,nil)))
| ~ ssItem(X0) )
| ~ spl51_5 ),
inference(forward_demodulation,[],[f576,f505]) ).
fof(f609,plain,
( sK8 = app(app(sK12,cons(sK10,nil)),app(cons(sK10,nil),sK13))
| ~ ssList(cons(sK11,nil))
| ~ ssList(app(sK12,cons(sK10,nil)))
| ~ spl51_9 ),
inference(forward_demodulation,[],[f588,f527]) ).
fof(f617,plain,
( ! [X0] :
( ~ memberP(app(app(sK12,cons(sK10,nil)),cons(sK10,nil)),X0)
| memberP(cons(sK14,nil),X0)
| ~ ssList(app(app(sK12,cons(sK10,nil)),cons(sK11,nil)))
| ~ ssItem(X0) )
| ~ spl51_5
| ~ spl51_9 ),
inference(forward_demodulation,[],[f597,f527]) ).
fof(f629,plain,
( cons(sK14,nil) = app(app(sK12,cons(sK10,nil)),app(cons(sK10,nil),sK13))
| ~ ssList(cons(sK11,nil))
| ~ ssList(app(sK12,cons(sK10,nil)))
| ~ spl51_5
| ~ spl51_9 ),
inference(forward_demodulation,[],[f609,f505]) ).
fof(f637,plain,
( ! [X0] :
( ~ ssList(app(app(sK12,cons(sK10,nil)),cons(sK10,nil)))
| ~ memberP(app(app(sK12,cons(sK10,nil)),cons(sK10,nil)),X0)
| memberP(cons(sK14,nil),X0)
| ~ ssItem(X0) )
| ~ spl51_5
| ~ spl51_9 ),
inference(forward_demodulation,[],[f617,f527]) ).
fof(f642,definition,
( spl51_11
<=> ssList(app(app(sK12,cons(sK10,nil)),cons(sK10,nil))) ),
introduced(definition,[new_symbols(definition,[spl51_11])],[avatar_definition]) ).
fof(f643,plain,
( ssList(app(app(sK12,cons(sK10,nil)),cons(sK10,nil)))
| ~ spl51_11 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f644,plain,
( ~ ssList(app(app(sK12,cons(sK10,nil)),cons(sK10,nil)))
| spl51_11 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f662,plain,
( ~ ssList(cons(sK10,nil))
| cons(sK14,nil) = app(app(sK12,cons(sK10,nil)),app(cons(sK10,nil),sK13))
| ~ ssList(app(sK12,cons(sK10,nil)))
| ~ spl51_5
| ~ spl51_9 ),
inference(forward_demodulation,[],[f629,f527]) ).
fof(f666,definition,
( spl51_14
<=> ssList(app(sK12,cons(sK10,nil))) ),
introduced(definition,[new_symbols(definition,[spl51_14])],[avatar_definition]) ).
fof(f667,plain,
( ssList(app(sK12,cons(sK10,nil)))
| ~ spl51_14 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f668,plain,
( ~ ssList(app(sK12,cons(sK10,nil)))
| spl51_14 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f670,definition,
( spl51_15
<=> cons(sK14,nil) = app(app(sK12,cons(sK10,nil)),app(cons(sK10,nil),sK13)) ),
introduced(definition,[new_symbols(definition,[spl51_15])],[avatar_definition]) ).
fof(f672,plain,
( cons(sK14,nil) = app(app(sK12,cons(sK10,nil)),app(cons(sK10,nil),sK13))
| ~ spl51_15 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f674,definition,
( spl51_16
<=> ssList(cons(sK10,nil)) ),
introduced(definition,[new_symbols(definition,[spl51_16])],[avatar_definition]) ).
fof(f675,plain,
( ssList(cons(sK10,nil))
| ~ spl51_16 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f676,plain,
( ~ ssList(cons(sK10,nil))
| spl51_16 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f694,definition,
( spl51_20
<=> ! [X0] :
( ~ memberP(app(app(sK12,cons(sK10,nil)),cons(sK10,nil)),X0)
| ~ ssItem(X0)
| memberP(cons(sK14,nil),X0) ) ),
introduced(definition,[new_symbols(definition,[spl51_20])],[avatar_definition]) ).
fof(f695,plain,
( ! [X0] :
( ~ memberP(app(app(sK12,cons(sK10,nil)),cons(sK10,nil)),X0)
| ~ ssItem(X0)
| memberP(cons(sK14,nil),X0) )
| ~ spl51_20 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f696,plain,
( spl51_20
| ~ spl51_11
| ~ spl51_5
| ~ spl51_9 ),
inference(avatar_split_clause,[],[f637,f525,f503,f642,f694]) ).
fof(f720,plain,
( ~ spl51_14
| spl51_15
| ~ spl51_16
| ~ spl51_5
| ~ spl51_9 ),
inference(avatar_split_clause,[],[f662,f525,f503,f674,f670,f666]) ).
fof(f741,definition,
( spl51_30
<=> nil = app(app(sK12,cons(sK10,nil)),cons(sK10,nil)) ),
introduced(definition,[new_symbols(definition,[spl51_30])],[avatar_definition]) ).
fof(f742,plain,
( nil != app(app(sK12,cons(sK10,nil)),cons(sK10,nil))
| spl51_30 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f743,plain,
( nil = app(app(sK12,cons(sK10,nil)),cons(sK10,nil))
| ~ spl51_30 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f745,plain,
( ~ ssItem(sK10)
| ~ ssList(nil)
| spl51_16 ),
inference(resolution,[],[f676,f310]) ).
fof(f746,plain,
( ~ ssList(nil)
| spl51_16 ),
inference(forward_subsumption_resolution,[],[f745,f277]) ).
fof(f747,plain,
( $false
| spl51_16 ),
inference(forward_subsumption_resolution,[],[f746,f330]) ).
fof(f748,plain,
spl51_16,
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f752,plain,
( ~ ssList(cons(sK10,nil))
| ~ ssList(sK12)
| spl51_14 ),
inference(resolution,[],[f668,f315]) ).
fof(f753,plain,
( ~ ssList(sK12)
| spl51_14
| ~ spl51_16 ),
inference(forward_subsumption_resolution,[],[f752,f675]) ).
fof(f754,plain,
( $false
| spl51_14
| ~ spl51_16 ),
inference(forward_subsumption_resolution,[],[f753,f279]) ).
fof(f755,plain,
( spl51_14
| ~ spl51_16 ),
inference(avatar_contradiction_clause,[],[f754]) ).
fof(f768,plain,
( ~ ssList(cons(sK10,nil))
| ~ ssList(app(sK12,cons(sK10,nil)))
| spl51_11 ),
inference(resolution,[],[f644,f315]) ).
fof(f772,plain,
( ~ ssList(app(sK12,cons(sK10,nil)))
| spl51_11
| ~ spl51_16 ),
inference(forward_subsumption_resolution,[],[f768,f675]) ).
fof(f774,plain,
( $false
| spl51_11
| ~ spl51_14
| ~ spl51_16 ),
inference(forward_subsumption_resolution,[],[f772,f667]) ).
fof(f775,plain,
( spl51_11
| ~ spl51_14
| ~ spl51_16 ),
inference(avatar_contradiction_clause,[],[f774]) ).
fof(f851,plain,
( cons(sK14,nil) = app(app(sK12,cons(sK10,nil)),cons(sK10,sK13))
| ~ ssItem(sK10)
| ~ ssList(sK13)
| ~ spl51_15 ),
inference(superposition,[],[f672,f291]) ).
fof(f893,plain,
( cons(sK14,nil) = app(app(sK12,cons(sK10,nil)),cons(sK10,sK13))
| ~ ssList(sK13)
| ~ spl51_15 ),
inference(forward_subsumption_resolution,[],[f851,f277]) ).
fof(f930,definition,
( spl51_45
<=> nil = app(sK12,cons(sK10,nil)) ),
introduced(definition,[new_symbols(definition,[spl51_45])],[avatar_definition]) ).
fof(f931,plain,
( nil != app(sK12,cons(sK10,nil))
| spl51_45 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f932,plain,
( nil = app(sK12,cons(sK10,nil))
| ~ spl51_45 ),
inference(avatar_component_clause,[],[f930]) ).
fof(f954,plain,
( cons(sK14,nil) = app(app(sK12,cons(sK10,nil)),cons(sK10,sK13))
| ~ spl51_15 ),
inference(forward_subsumption_resolution,[],[f893,f282]) ).
fof(f1107,plain,
( ~ ssItem(sK10)
| memberP(cons(sK14,nil),sK10)
| ~ ssList(app(sK12,cons(sK10,nil)))
| ~ ssList(nil)
| ~ ssItem(sK10)
| ~ ssList(app(app(sK12,cons(sK10,nil)),cons(sK10,nil)))
| ~ spl51_20 ),
inference(resolution,[],[f695,f463]) ).
fof(f1110,plain,
( ~ ssItem(sK10)
| memberP(cons(sK14,nil),sK10)
| ~ ssList(app(sK12,cons(sK10,nil)))
| ~ ssList(nil)
| ~ ssList(app(app(sK12,cons(sK10,nil)),cons(sK10,nil)))
| ~ spl51_20 ),
inference(duplicate_literal_removal,[],[f1107]) ).
fof(f1113,plain,
( memberP(cons(sK14,nil),sK10)
| ~ ssList(app(sK12,cons(sK10,nil)))
| ~ ssList(nil)
| ~ ssList(app(app(sK12,cons(sK10,nil)),cons(sK10,nil)))
| ~ spl51_20 ),
inference(forward_subsumption_resolution,[],[f1110,f277]) ).
fof(f1115,plain,
( memberP(cons(sK14,nil),sK10)
| ~ ssList(nil)
| ~ ssList(app(app(sK12,cons(sK10,nil)),cons(sK10,nil)))
| ~ spl51_14
| ~ spl51_20 ),
inference(forward_subsumption_resolution,[],[f1113,f667]) ).
fof(f1117,plain,
( memberP(cons(sK14,nil),sK10)
| ~ ssList(app(app(sK12,cons(sK10,nil)),cons(sK10,nil)))
| ~ spl51_14
| ~ spl51_20 ),
inference(forward_subsumption_resolution,[],[f1115,f330]) ).
fof(f1118,plain,
( memberP(cons(sK14,nil),sK10)
| ~ spl51_11
| ~ spl51_14
| ~ spl51_20 ),
inference(forward_subsumption_resolution,[],[f1117,f643]) ).
fof(f1119,plain,
( memberP(nil,sK10)
| sK10 = sK14
| ~ ssList(nil)
| ~ ssItem(sK14)
| ~ ssItem(sK10)
| ~ spl51_11
| ~ spl51_14
| ~ spl51_20 ),
inference(resolution,[],[f1118,f332]) ).
fof(f1120,plain,
( memberP(nil,sK10)
| sK10 = sK14
| ~ ssItem(sK14)
| ~ ssItem(sK10)
| ~ spl51_11
| ~ spl51_14
| ~ spl51_20 ),
inference(forward_subsumption_resolution,[],[f1119,f330]) ).
fof(f1121,plain,
( memberP(nil,sK10)
| sK10 = sK14
| ~ ssItem(sK10)
| ~ spl51_6
| ~ spl51_11
| ~ spl51_14
| ~ spl51_20 ),
inference(forward_subsumption_resolution,[],[f1120,f511]) ).
fof(f1122,plain,
( memberP(nil,sK10)
| sK10 = sK14
| ~ spl51_6
| ~ spl51_11
| ~ spl51_14
| ~ spl51_20 ),
inference(forward_subsumption_resolution,[],[f1121,f277]) ).
fof(f1124,definition,
( spl51_57
<=> sK10 = sK14 ),
introduced(definition,[new_symbols(definition,[spl51_57])],[avatar_definition]) ).
fof(f1126,plain,
( sK10 = sK14
| ~ spl51_57 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1128,definition,
( spl51_58
<=> memberP(nil,sK10) ),
introduced(definition,[new_symbols(definition,[spl51_58])],[avatar_definition]) ).
fof(f1129,plain,
( ~ memberP(nil,sK10)
| spl51_58 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f1130,plain,
( memberP(nil,sK10)
| ~ spl51_58 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f1133,plain,
( nil = app(app(sK12,cons(sK10,nil)),cons(sK11,nil))
| ~ ssList(sK13)
| ~ ssList(app(app(sK12,cons(sK10,nil)),cons(sK11,nil)))
| ~ spl51_1 ),
inference(forward_subsumption_resolution,[],[f549,f486]) ).
fof(f1138,plain,
( nil = app(app(sK12,cons(sK10,nil)),cons(sK11,nil))
| ~ ssList(app(app(sK12,cons(sK10,nil)),cons(sK11,nil)))
| ~ spl51_1 ),
inference(forward_subsumption_resolution,[],[f1133,f282]) ).
fof(f1143,plain,
( nil = app(app(sK12,cons(sK10,nil)),cons(sK10,nil))
| ~ ssList(app(app(sK12,cons(sK10,nil)),cons(sK11,nil)))
| ~ spl51_1
| ~ spl51_9 ),
inference(forward_demodulation,[],[f1138,f527]) ).
fof(f1160,plain,
( ~ ssList(app(app(sK12,cons(sK10,nil)),cons(sK11,nil)))
| ~ spl51_1
| ~ spl51_9
| spl51_30 ),
inference(forward_subsumption_resolution,[],[f1143,f742]) ).
fof(f1163,plain,
( ~ ssList(app(app(sK12,cons(sK10,nil)),cons(sK10,nil)))
| ~ spl51_1
| ~ spl51_9
| spl51_30 ),
inference(forward_demodulation,[],[f1160,f527]) ).
fof(f1164,plain,
( $false
| ~ spl51_1
| ~ spl51_9
| ~ spl51_11
| spl51_30 ),
inference(forward_subsumption_resolution,[],[f1163,f643]) ).
fof(f1165,plain,
( ~ spl51_1
| ~ spl51_9
| ~ spl51_11
| spl51_30 ),
inference(avatar_contradiction_clause,[],[f1164]) ).
fof(f1166,plain,
( nil = app(nil,cons(sK10,nil))
| ~ spl51_30
| ~ spl51_45 ),
inference(forward_demodulation,[],[f743,f932]) ).
fof(f1210,plain,
( memberP(nil,sK10)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssItem(sK10)
| ~ ssList(nil)
| ~ spl51_30
| ~ spl51_45 ),
inference(superposition,[],[f463,f1166]) ).
fof(f1231,plain,
( memberP(nil,sK10)
| ~ ssList(nil)
| ~ ssItem(sK10)
| ~ spl51_30
| ~ spl51_45 ),
inference(duplicate_literal_removal,[],[f1210]) ).
fof(f1247,plain,
( ~ ssList(nil)
| ~ ssItem(sK10)
| ~ spl51_30
| ~ spl51_45
| spl51_58 ),
inference(forward_subsumption_resolution,[],[f1231,f1129]) ).
fof(f1263,plain,
( ~ ssItem(sK10)
| ~ spl51_30
| ~ spl51_45
| spl51_58 ),
inference(forward_subsumption_resolution,[],[f1247,f330]) ).
fof(f1277,plain,
( $false
| ~ spl51_30
| ~ spl51_45
| spl51_58 ),
inference(forward_subsumption_resolution,[],[f1263,f277]) ).
fof(f1278,plain,
( ~ spl51_30
| ~ spl51_45
| spl51_58 ),
inference(avatar_contradiction_clause,[],[f1277]) ).
fof(f1435,definition,
( spl51_64
<=> ssList(cons(sK14,nil)) ),
introduced(definition,[new_symbols(definition,[spl51_64])],[avatar_definition]) ).
fof(f1436,plain,
( ssList(cons(sK14,nil))
| ~ spl51_64 ),
inference(avatar_component_clause,[],[f1435]) ).
fof(f1623,plain,
( ~ ssItem(sK10)
| ~ spl51_58 ),
inference(resolution,[],[f1130,f331]) ).
fof(f1624,plain,
( $false
| ~ spl51_58 ),
inference(forward_subsumption_resolution,[],[f1623,f277]) ).
fof(f1625,plain,
~ spl51_58,
inference(avatar_contradiction_clause,[],[f1624]) ).
fof(f1626,plain,
( spl51_64
| ~ spl51_5 ),
inference(avatar_split_clause,[],[f533,f503,f1435]) ).
fof(f1629,plain,
( spl51_57
| spl51_58
| ~ spl51_6
| ~ spl51_11
| ~ spl51_14
| ~ spl51_20 ),
inference(avatar_split_clause,[],[f1122,f694,f666,f642,f509,f1128,f1124]) ).
fof(f1811,plain,
( cons(sK14,nil) = app(app(sK12,cons(sK14,nil)),cons(sK14,sK13))
| ~ spl51_15
| ~ spl51_57 ),
inference(forward_demodulation,[],[f954,f1126]) ).
fof(f1938,plain,
( nil != nil
| nil = app(sK12,cons(sK10,nil))
| ~ ssList(cons(sK10,nil))
| ~ ssList(app(sK12,cons(sK10,nil)))
| ~ spl51_30 ),
inference(superposition,[],[f287,f743]) ).
fof(f1963,plain,
( nil = app(sK12,cons(sK10,nil))
| ~ ssList(cons(sK10,nil))
| ~ ssList(app(sK12,cons(sK10,nil)))
| ~ spl51_30 ),
inference(trivial_inequality_removal,[],[f1938]) ).
fof(f1989,plain,
( ~ ssList(cons(sK10,nil))
| ~ ssList(app(sK12,cons(sK10,nil)))
| ~ spl51_30
| spl51_45 ),
inference(forward_subsumption_resolution,[],[f1963,f931]) ).
fof(f2018,plain,
( ~ ssList(app(sK12,cons(sK10,nil)))
| ~ spl51_16
| ~ spl51_30
| spl51_45 ),
inference(forward_subsumption_resolution,[],[f1989,f675]) ).
fof(f2047,plain,
( $false
| ~ spl51_14
| ~ spl51_16
| ~ spl51_30
| spl51_45 ),
inference(forward_subsumption_resolution,[],[f2018,f667]) ).
fof(f2048,plain,
( ~ spl51_14
| ~ spl51_16
| ~ spl51_30
| spl51_45 ),
inference(avatar_contradiction_clause,[],[f2047]) ).
fof(f2098,definition,
( spl51_76
<=> lt(sK14,sK14) ),
introduced(definition,[new_symbols(definition,[spl51_76])],[avatar_definition]) ).
fof(f2099,plain,
( ~ lt(sK14,sK14)
| spl51_76 ),
inference(avatar_component_clause,[],[f2098]) ).
fof(f2100,plain,
( lt(sK14,sK14)
| ~ spl51_76 ),
inference(avatar_component_clause,[],[f2098]) ).
fof(f3523,plain,
( ~ strictorderedP(cons(sK14,nil))
| ~ ssList(sK13)
| ~ ssList(nil)
| ~ ssList(sK12)
| ~ ssItem(sK14)
| ~ ssItem(sK14)
| lt(sK14,sK14)
| ~ ssList(cons(sK14,nil))
| ~ spl51_15
| ~ spl51_57 ),
inference(superposition,[],[f475,f1811]) ).
fof(f3552,plain,
( ~ strictorderedP(cons(sK14,nil))
| ~ ssList(sK13)
| ~ ssList(nil)
| ~ ssList(sK12)
| ~ ssItem(sK14)
| lt(sK14,sK14)
| ~ ssList(cons(sK14,nil))
| ~ spl51_15
| ~ spl51_57 ),
inference(duplicate_literal_removal,[],[f3523]) ).
fof(f3566,plain,
( ~ strictorderedP(cons(sK14,nil))
| ~ ssList(nil)
| ~ ssList(sK12)
| ~ ssItem(sK14)
| lt(sK14,sK14)
| ~ ssList(cons(sK14,nil))
| ~ spl51_15
| ~ spl51_57 ),
inference(forward_subsumption_resolution,[],[f3552,f282]) ).
fof(f3586,plain,
( ~ strictorderedP(cons(sK14,nil))
| ~ ssList(sK12)
| ~ ssItem(sK14)
| lt(sK14,sK14)
| ~ ssList(cons(sK14,nil))
| ~ spl51_15
| ~ spl51_57 ),
inference(forward_subsumption_resolution,[],[f3566,f330]) ).
fof(f3596,plain,
( ~ strictorderedP(cons(sK14,nil))
| ~ ssItem(sK14)
| lt(sK14,sK14)
| ~ ssList(cons(sK14,nil))
| ~ spl51_15
| ~ spl51_57 ),
inference(forward_subsumption_resolution,[],[f3586,f279]) ).
fof(f3605,plain,
( ~ strictorderedP(cons(sK14,nil))
| lt(sK14,sK14)
| ~ ssList(cons(sK14,nil))
| ~ spl51_6
| ~ spl51_15
| ~ spl51_57 ),
inference(forward_subsumption_resolution,[],[f3596,f511]) ).
fof(f3608,plain,
( ~ strictorderedP(cons(sK14,nil))
| ~ ssList(cons(sK14,nil))
| ~ spl51_6
| ~ spl51_15
| ~ spl51_57
| spl51_76 ),
inference(forward_subsumption_resolution,[],[f3605,f2099]) ).
fof(f3610,plain,
( ~ strictorderedP(cons(sK14,nil))
| ~ spl51_6
| ~ spl51_15
| ~ spl51_57
| ~ spl51_64
| spl51_76 ),
inference(forward_subsumption_resolution,[],[f3608,f1436]) ).
fof(f3680,plain,
( ~ ssList(nil)
| ~ ssItem(sK14)
| ~ spl51_6
| ~ spl51_15
| ~ spl51_57
| ~ spl51_64
| spl51_76 ),
inference(resolution,[],[f3610,f471]) ).
fof(f3682,plain,
( ~ ssItem(sK14)
| ~ spl51_6
| ~ spl51_15
| ~ spl51_57
| ~ spl51_64
| spl51_76 ),
inference(forward_subsumption_resolution,[],[f3680,f330]) ).
fof(f3683,plain,
( $false
| ~ spl51_6
| ~ spl51_15
| ~ spl51_57
| ~ spl51_64
| spl51_76 ),
inference(forward_subsumption_resolution,[],[f3682,f511]) ).
fof(f3684,plain,
( ~ spl51_6
| ~ spl51_15
| ~ spl51_57
| ~ spl51_64
| spl51_76 ),
inference(avatar_contradiction_clause,[],[f3683]) ).
fof(f3685,plain,
( ~ ssItem(sK14)
| ~ spl51_76 ),
inference(resolution,[],[f2100,f417]) ).
fof(f3693,plain,
( $false
| ~ spl51_6
| ~ spl51_76 ),
inference(forward_subsumption_resolution,[],[f3685,f511]) ).
fof(f3694,plain,
( ~ spl51_6
| ~ spl51_76 ),
inference(avatar_contradiction_clause,[],[f3693]) ).
cnf(s5,plain,
( spl51_1
| spl51_5 ),
inference(sat_conversion,[],[f506]) ).
cnf(s7,plain,
( spl51_1
| spl51_6 ),
inference(sat_conversion,[],[f512]) ).
cnf(s10,plain,
spl51_9,
inference(sat_conversion,[],[f531]) ).
cnf(s18,plain,
( ~ spl51_5
| ~ spl51_9
| ~ spl51_11
| spl51_20 ),
inference(sat_conversion,[],[f696]) ).
cnf(s26,plain,
( ~ spl51_5
| ~ spl51_9
| ~ spl51_14
| spl51_15
| ~ spl51_16 ),
inference(sat_conversion,[],[f720]) ).
cnf(s31,plain,
spl51_16,
inference(sat_conversion,[],[f748]) ).
cnf(s32,plain,
( spl51_14
| ~ spl51_16 ),
inference(sat_conversion,[],[f755]) ).
cnf(s34,plain,
( spl51_11
| ~ spl51_14
| ~ spl51_16 ),
inference(sat_conversion,[],[f775]) ).
cnf(s64,plain,
( ~ spl51_1
| ~ spl51_9
| ~ spl51_11
| spl51_30 ),
inference(sat_conversion,[],[f1165]) ).
cnf(s70,plain,
( ~ spl51_30
| ~ spl51_45
| spl51_58 ),
inference(sat_conversion,[],[f1278]) ).
cnf(s87,plain,
~ spl51_58,
inference(sat_conversion,[],[f1625]) ).
cnf(s88,plain,
( ~ spl51_5
| spl51_64 ),
inference(sat_conversion,[],[f1626]) ).
cnf(s89,plain,
( ~ spl51_6
| ~ spl51_11
| ~ spl51_14
| ~ spl51_20
| spl51_57
| spl51_58 ),
inference(sat_conversion,[],[f1629]) ).
cnf(s103,plain,
( ~ spl51_14
| ~ spl51_16
| ~ spl51_30
| spl51_45 ),
inference(sat_conversion,[],[f2048]) ).
cnf(s175,plain,
( ~ spl51_6
| ~ spl51_15
| ~ spl51_57
| ~ spl51_64
| spl51_76 ),
inference(sat_conversion,[],[f3684]) ).
cnf(s177,plain,
( ~ spl51_6
| ~ spl51_76 ),
inference(sat_conversion,[],[f3694]) ).
cnf(s178,plain,
( ~ spl51_30
| ~ spl51_45 ),
inference(rat,[],[s70,s87]) ).
cnf(s182,plain,
spl51_14,
inference(rat,[],[s32,s31]) ).
cnf(s183,plain,
spl51_11,
inference(rat,[],[s34,s31,s182]) ).
cnf(s188,plain,
( ~ spl51_5
| ~ spl51_9
| spl51_15 ),
inference(rat,[],[s26,s31,s182]) ).
cnf(s196,plain,
( ~ spl51_5
| ~ spl51_9
| spl51_20 ),
inference(rat,[],[s18,s183]) ).
cnf(s204,plain,
spl51_1,
inference(rat,[],[s89,s175,s196,s188,s88,s177,s5,s7,s182,s183,s87,s10]) ).
cnf(s205,plain,
spl51_30,
inference(rat,[],[s64,s10,s183,s204]) ).
cnf(s208,plain,
~ spl51_45,
inference(rat,[],[s178,s205]) ).
cnf(s209,plain,
$false,
inference(rat,[],[s103,s182,s31,s208,s205]) ).
fof(f3695,plain,
$false,
inference(avatar_sat_refutation,[],[s209]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC163+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n026.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 08:17:42 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 3.56/1.80 % (3689113)Detected formulas, will run a generic FOF schedule.
% 3.56/1.80 % (3689124)dis-21_1_sil=8000:lcm=predicate:random_seed=153196952: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)
% 3.56/1.80 % (3689118)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=1343470056:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.56/1.80 % (3689121)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1514819422:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.56/1.80 % (3689122)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1017055824:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.56/1.80 % (3689120)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=2463036797:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.56/1.80 % (3689119)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=3515760879:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.56/1.80 % (3689124)Instruction limit reached!
% 3.56/1.80 % (3689124)------------------------------
% 3.56/1.80 % (3689124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.80 % (3689124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.80 % (3689124)CaDiCaL version: 2.1.3
% 3.56/1.80 % (3689124)Termination reason: Instruction limit
% 3.56/1.80 % (3689124)Termination phase: Saturation
% 3.56/1.80 % (3689124)Time elapsed: 0.041 s
% 3.56/1.80 % (3689124)Peak memory usage: 90 MB
% 3.56/1.80 % (3689124)Instructions burned: 132 (million)
% 3.56/1.80 % (3689123)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=286414205:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.56/1.80 % (3689122)Instruction limit reached!
% 3.56/1.80 % (3689122)------------------------------
% 3.56/1.80 % (3689122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.80 % (3689122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.80 % (3689122)CaDiCaL version: 2.1.3
% 3.56/1.80 % (3689122)Termination reason: Instruction limit
% 3.56/1.80 % (3689122)Termination phase: Saturation
% 3.56/1.80 % (3689122)Time elapsed: 0.067 s
% 3.56/1.80 % (3689122)Peak memory usage: 88 MB
% 3.56/1.80 % (3689122)Instructions burned: 121 (million)
% 3.56/1.80 % (3689121)Instruction limit reached!
% 3.56/1.80 % (3689121)------------------------------
% 3.56/1.80 % (3689121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.80 % (3689121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.80 % (3689121)CaDiCaL version: 2.1.3
% 3.56/1.80 % (3689121)Termination reason: Instruction limit
% 3.56/1.80 % (3689121)Termination phase: Saturation
% 3.56/1.80 % (3689121)Time elapsed: 0.067 s
% 3.56/1.80 % (3689121)Peak memory usage: 89 MB
% 3.56/1.80 % (3689121)Instructions burned: 110 (million)
% 3.56/1.80 % (3689123)Instruction limit reached!
% 3.56/1.80 % (3689123)------------------------------
% 3.56/1.80 % (3689123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.80 % (3689123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.80 % (3689123)CaDiCaL version: 2.1.3
% 3.56/1.80 % (3689123)Termination reason: Instruction limit
% 3.56/1.80 % (3689123)Termination phase: Saturation
% 3.56/1.80 % (3689123)Time elapsed: 0.094 s
% 3.56/1.80 % (3689123)Peak memory usage: 90 MB
% 3.56/1.80 % (3689123)Instructions burned: 139 (million)
% 3.56/1.80 % (3689132)lrs+10_1_sil=8000:sp=occurrence:random_seed=439057728:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.56/1.80 % (3689133)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3656161576:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.56/1.80 % (3689134)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1294908133:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.56/1.80 % (3689135)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=2196214684:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.56/1.80 % (3689133)Instruction limit reached!
% 3.56/1.80 % (3689133)------------------------------
% 3.56/1.80 % (3689133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.80 % (3689133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.80 % (3689133)CaDiCaL version: 2.1.3
% 3.56/1.80 % (3689133)Termination reason: Instruction limit
% 3.56/1.80 % (3689133)Termination phase: Saturation
% 3.56/1.80 % (3689133)Time elapsed: 0.075 s
% 3.56/1.80 % (3689133)Peak memory usage: 91 MB
% 3.56/1.80 % (3689133)Instructions burned: 159 (million)
% 3.56/1.80 % (3689132)Instruction limit reached!
% 3.56/1.80 % (3689132)------------------------------
% 3.56/1.80 % (3689132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.80 % (3689132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.80 % (3689132)CaDiCaL version: 2.1.3
% 3.56/1.80 % (3689132)Termination reason: Instruction limit
% 3.56/1.80 % (3689132)Termination phase: Saturation
% 3.56/1.80 % (3689132)Time elapsed: 0.172 s
% 3.56/1.80 % (3689132)Peak memory usage: 92 MB
% 3.56/1.80 % (3689132)Instructions burned: 287 (million)
% 3.56/1.80 % (3689135)Instruction limit reached!
% 3.56/1.80 % (3689135)------------------------------
% 3.56/1.80 % (3689135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.80 % (3689135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.80 % (3689135)CaDiCaL version: 2.1.3
% 3.56/1.80 % (3689135)Termination reason: Instruction limit
% 3.56/1.80 % (3689135)Termination phase: Saturation
% 3.56/1.80 % (3689135)Time elapsed: 0.119 s
% 3.56/1.80 % (3689135)Peak memory usage: 94 MB
% 3.56/1.80 % (3689135)Instructions burned: 249 (million)
% 3.56/1.80 % (3689134)Instruction limit reached!
% 3.56/1.80 % (3689134)------------------------------
% 3.56/1.80 % (3689134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.80 % (3689134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.80 % (3689134)CaDiCaL version: 2.1.3
% 3.56/1.80 % (3689134)Termination reason: Instruction limit
% 3.56/1.80 % (3689134)Termination phase: Saturation
% 3.56/1.80 % (3689134)Time elapsed: 0.202 s
% 3.56/1.80 % (3689134)Peak memory usage: 92 MB
% 3.56/1.80 % (3689134)Instructions burned: 326 (million)
% 3.56/1.80 % (3689140)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2321564264:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.56/1.80 % (3689141)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1687249709:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 3.56/1.80 % (3689142)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2735035668:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 3.56/1.80 % (3689140)First to succeed.
% 3.56/1.80 % (3689140)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3689113"
% 3.56/1.80 % (3689143)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1880013304:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 3.56/1.80 % (3689142)Instruction limit reached!
% 3.56/1.80 % (3689142)------------------------------
% 3.56/1.80 % (3689142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.80 % (3689142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.80 % (3689142)CaDiCaL version: 2.1.3
% 3.56/1.80 % (3689142)Termination reason: Instruction limit
% 3.56/1.80 % (3689142)Termination phase: Saturation
% 3.56/1.80 % (3689142)Time elapsed: 0.076 s
% 3.56/1.80 % (3689142)Peak memory usage: 90 MB
% 3.56/1.80 % (3689142)Instructions burned: 114 (million)
% 3.56/1.80 % (3689143)Instruction limit reached!
% 3.56/1.80 % (3689143)------------------------------
% 3.56/1.80 % (3689143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.80 % (3689143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.80 % (3689143)CaDiCaL version: 2.1.3
% 3.56/1.80 % (3689143)Termination reason: Instruction limit
% 3.56/1.80 % (3689143)Termination phase: Saturation
% 3.56/1.80 % (3689143)Time elapsed: 0.063 s
% 3.56/1.80 % (3689143)Peak memory usage: 90 MB
% 3.56/1.80 % (3689143)Instructions burned: 127 (million)
% 3.56/1.80 % (3689148)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3936185792:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 3.56/1.80 % (3689140)Refutation found. Thanks to Tanya!
% 3.56/1.80 % SZS status Theorem for theBenchmark
% 3.56/1.80 % SZS output start Proof for theBenchmark
% See solution above
% 7.20/1.99 % (3689140)------------------------------
% 7.20/1.99 % (3689140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.20/1.99 % (3689140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.20/1.99 % (3689140)CaDiCaL version: 2.1.3
% 7.20/1.99 % (3689140)Termination reason: Refutation
% 7.20/1.99 % (3689140)Time elapsed: 0.083 s
% 7.20/1.99 % (3689140)Peak memory usage: 91 MB
% 7.20/1.99 % (3689140)Instructions burned: 137 (million)
% 7.20/1.99 % (3689140)------------------------------
% 7.20/1.99 % (3689140)------------------------------
% 7.20/1.99 % (3689113)Success in time 0.947 s
% 7.20/1.99 % Vampire exiting
%------------------------------------------------------------------------------