%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC062+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 : n010.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 01:02:15 PM UTC 2026
% Result : Theorem 4.69s 1.66s
% Output : Refutation 6.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 25
% Syntax : Number of formulae : 238 ( 14 unt; 12 def)
% Number of atoms : 1006 ( 153 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 1329 ( 561 ~; 638 |; 84 &)
% ( 20 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 13 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 205 ( 0 sgn 169 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( rearsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X2,X1) = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
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(f20,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
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(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) != X2
& app(cons(X4,nil),X5) = X3 ) )
| ( nil != X2
& nil = X3 )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ? [X6] :
( ssList(X6)
& neq(X6,nil)
& segmentP(X1,X6)
& segmentP(X0,X6) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssList(X5)
& app(X5,cons(X4,nil)) != X2
& app(cons(X4,nil),X5) = X3 ) )
| ( nil != X2
& nil = X3 )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ? [X6] :
( ssList(X6)
& neq(X6,nil)
& segmentP(X1,X6)
& segmentP(X0,X6) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| app(X5,cons(X4,nil)) = X2
| app(cons(X4,nil),X5) != X3 ) )
& ( nil = X2
| nil != X3 )
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ! [X6] :
( ~ ssList(X6)
| ~ neq(X6,nil)
| ~ segmentP(X1,X6)
| ~ segmentP(X0,X6) ) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| app(X5,cons(X4,nil)) = X2
| app(cons(X4,nil),X5) != X3 ) )
& ( nil = X2
| nil != X3 )
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ! [X6] :
( ~ ssList(X6)
| ~ neq(X6,nil)
| ~ segmentP(X1,X6)
| ~ segmentP(X0,X6) ) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f118,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f119,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| ~ ssList(X0) ),
inference(flattening,[],[f118]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f144,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f158,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( ( rearsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X2,X1) = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f162,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f163,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f167,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f181,plain,
( sK7 = sK9
& sK6 = sK8
& ! [X4] :
( ~ ssItem(X4)
| ! [X5] :
( ~ ssList(X5)
| app(X5,cons(X4,nil)) = sK8
| app(cons(X4,nil),X5) != sK9 ) )
& ( nil = sK8
| nil != sK9 )
& ( ( nil = sK7
& nil != sK6 )
| ( neq(sK7,nil)
& ! [X6] :
( ~ ssList(X6)
| ~ neq(X6,nil)
| ~ segmentP(sK7,X6)
| ~ segmentP(sK6,X6) ) ) )
& ssList(sK9)
& ssList(sK8)
& ssList(sK7)
& ssList(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8),skolemize(X3,sK9)],[f99]) ).
fof(f191,plain,
! [X0] :
( nil = X0
| ( ssList(sK12(X0))
& ssItem(sK13(X0))
& cons(sK13(X0),sK12(X0)) = X0 )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X1,sK12(X0)),skolemize(X2,sK13(X0))],[f119]) ).
fof(f226,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f160]) ).
fof(f227,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X4,X1),X5) = X0 ) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f226]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ( ssList(sK51(X0,X1))
& ssList(sK52(X0,X1))
& app(app(sK51(X0,X1),X1),sK52(X0,X1)) = X0 )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51,sK52]),skolemize(X4,sK51(X0,X1)),skolemize(X5,sK52(X0,X1))],[f227]) ).
fof(f229,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| app(X2,X1) != X0 ) )
& ( ? [X2] :
( ssList(X2)
& app(X2,X1) = X0 )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f161]) ).
fof(f230,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| app(X2,X1) != X0 ) )
& ( ? [X3] :
( ssList(X3)
& app(X3,X1) = X0 )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f229]) ).
fof(f231,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| app(X2,X1) != X0 ) )
& ( ( ssList(sK53(X0,X1))
& app(sK53(X0,X1),X1) = X0 )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53]),skolemize(X3,sK53(X0,X1))],[f230]) ).
fof(f232,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != X0 ) )
& ( ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f162]) ).
fof(f233,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != X0 ) )
& ( ? [X3] :
( ssList(X3)
& app(X1,X3) = X0 )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f232]) ).
fof(f234,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != X0 ) )
& ( ( ssList(sK54(X0,X1))
& app(X1,sK54(X0,X1)) = X0 )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK54]),skolemize(X3,sK54(X0,X1))],[f233]) ).
fof(f235,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f163]) ).
fof(f238,plain,
ssList(sK6),
inference(cnf_transformation,[],[f181]) ).
fof(f239,plain,
ssList(sK7),
inference(cnf_transformation,[],[f181]) ).
fof(f242,plain,
! [X6] :
( nil != sK6
| ~ ssList(X6)
| ~ neq(X6,nil)
| ~ segmentP(sK7,X6)
| ~ segmentP(sK6,X6) ),
inference(cnf_transformation,[],[f181]) ).
fof(f243,plain,
( nil != sK6
| neq(sK7,nil) ),
inference(cnf_transformation,[],[f181]) ).
fof(f244,plain,
! [X6] :
( nil = sK7
| ~ ssList(X6)
| ~ neq(X6,nil)
| ~ segmentP(sK7,X6)
| ~ segmentP(sK6,X6) ),
inference(cnf_transformation,[],[f181]) ).
fof(f245,plain,
( nil = sK7
| neq(sK7,nil) ),
inference(cnf_transformation,[],[f181]) ).
fof(f246,plain,
( nil = sK8
| nil != sK9 ),
inference(cnf_transformation,[],[f181]) ).
fof(f247,plain,
! [X4,X5] :
( app(cons(X4,nil),X5) != sK9
| ~ ssList(X5)
| app(X5,cons(X4,nil)) = sK8
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f181]) ).
fof(f248,plain,
sK6 = sK8,
inference(cnf_transformation,[],[f181]) ).
fof(f249,plain,
sK7 = sK9,
inference(cnf_transformation,[],[f181]) ).
fof(f253,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f282,plain,
! [X0] :
( cons(sK13(X0),sK12(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f283,plain,
! [X0] :
( ssItem(sK13(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f284,plain,
! [X0] :
( ssList(sK12(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f288,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f365,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f378,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f379,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,X1),X3) != X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f384,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| app(sK53(X0,X1),X1) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f385,plain,
! [X0,X1] :
( ssList(sK53(X0,X1))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f386,plain,
! [X2,X0,X1] :
( rearsegP(X0,X1)
| ~ ssList(X2)
| app(X2,X1) != X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f387,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| app(X1,sK54(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f388,plain,
! [X0,X1] :
( ssList(sK54(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f389,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| ~ ssList(X2)
| app(X1,X2) != X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f390,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f391,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f394,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f398,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f401,plain,
( nil = sK9
| neq(sK9,nil) ),
inference(definition_unfolding,[],[f245,f249,f249]) ).
fof(f402,plain,
! [X6] :
( nil = sK9
| ~ ssList(X6)
| ~ neq(X6,nil)
| ~ segmentP(sK9,X6)
| ~ segmentP(sK8,X6) ),
inference(definition_unfolding,[],[f244,f249,f249,f248]) ).
fof(f403,plain,
( nil != sK8
| neq(sK9,nil) ),
inference(definition_unfolding,[],[f243,f248,f249]) ).
fof(f404,plain,
! [X6] :
( nil != sK8
| ~ ssList(X6)
| ~ neq(X6,nil)
| ~ segmentP(sK9,X6)
| ~ segmentP(sK8,X6) ),
inference(definition_unfolding,[],[f242,f248,f249,f248]) ).
fof(f405,plain,
ssList(sK9),
inference(definition_unfolding,[],[f239,f249]) ).
fof(f406,plain,
ssList(sK8),
inference(definition_unfolding,[],[f238,f248]) ).
fof(f425,plain,
! [X2,X3,X1] :
( ~ ssList(app(app(X2,X1),X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| segmentP(app(app(X2,X1),X3),X1) ),
inference(equality_resolution,[],[f383]) ).
fof(f426,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X2,X1)) ),
inference(equality_resolution,[],[f386]) ).
fof(f427,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) ),
inference(equality_resolution,[],[f389]) ).
fof(f428,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f390]) ).
fof(f432,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f428]) ).
fof(f438,definition,
( spl55_1
<=> ! [X6] :
( ~ ssList(X6)
| ~ segmentP(sK8,X6)
| ~ segmentP(sK9,X6)
| ~ neq(X6,nil) ) ),
introduced(definition,[new_symbols(definition,[spl55_1])],[avatar_definition]) ).
fof(f439,plain,
( ! [X6] :
( ~ segmentP(sK9,X6)
| ~ segmentP(sK8,X6)
| ~ ssList(X6)
| ~ neq(X6,nil) )
| ~ spl55_1 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f441,definition,
( spl55_2
<=> nil = sK8 ),
introduced(definition,[new_symbols(definition,[spl55_2])],[avatar_definition]) ).
fof(f444,plain,
( spl55_1
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f404,f441,f438]) ).
fof(f446,definition,
( spl55_3
<=> neq(sK9,nil) ),
introduced(definition,[new_symbols(definition,[spl55_3])],[avatar_definition]) ).
fof(f448,plain,
( neq(sK9,nil)
| ~ spl55_3 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f449,plain,
( spl55_3
| ~ spl55_2 ),
inference(avatar_split_clause,[],[f403,f441,f446]) ).
fof(f451,definition,
( spl55_4
<=> nil = sK9 ),
introduced(definition,[new_symbols(definition,[spl55_4])],[avatar_definition]) ).
fof(f452,plain,
( nil != sK9
| spl55_4 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f453,plain,
( nil = sK9
| ~ spl55_4 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f454,plain,
( spl55_1
| spl55_4 ),
inference(avatar_split_clause,[],[f402,f451,f438]) ).
fof(f455,plain,
( spl55_3
| spl55_4 ),
inference(avatar_split_clause,[],[f401,f451,f446]) ).
fof(f456,plain,
( ~ spl55_4
| spl55_2 ),
inference(avatar_split_clause,[],[f246,f441,f451]) ).
fof(f459,plain,
( ~ ssList(sK9)
| ~ segmentP(sK8,sK9)
| ~ ssList(sK9)
| ~ neq(sK9,nil)
| ~ spl55_1 ),
inference(resolution,[],[f398,f439]) ).
fof(f460,plain,
( ~ ssList(sK9)
| ~ segmentP(sK8,sK9)
| ~ neq(sK9,nil)
| ~ spl55_1 ),
inference(duplicate_literal_removal,[],[f459]) ).
fof(f461,plain,
( ~ segmentP(sK8,sK9)
| ~ neq(sK9,nil)
| ~ spl55_1 ),
inference(forward_subsumption_resolution,[],[f460,f405]) ).
fof(f462,plain,
( ~ segmentP(sK8,sK9)
| ~ spl55_1
| ~ spl55_3 ),
inference(forward_subsumption_resolution,[],[f461,f448]) ).
fof(f514,plain,
! [X0,X1] :
( cons(X0,X1) != sK9
| ~ ssList(X1)
| sK8 = app(X1,cons(X0,nil))
| ~ ssItem(X0)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(superposition,[],[f247,f253]) ).
fof(f521,plain,
! [X0,X1] :
( cons(X0,X1) != sK9
| ~ ssList(X1)
| sK8 = app(X1,cons(X0,nil))
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f514]) ).
fof(f537,plain,
( neq(nil,nil)
| ~ spl55_3
| ~ spl55_4 ),
inference(superposition,[],[f448,f453]) ).
fof(f541,plain,
( ~ ssList(nil)
| ~ spl55_3
| ~ spl55_4 ),
inference(resolution,[],[f537,f432]) ).
fof(f543,plain,
( $false
| ~ spl55_3
| ~ spl55_4 ),
inference(forward_subsumption_resolution,[],[f541,f394]) ).
fof(f544,plain,
( ~ spl55_3
| ~ spl55_4 ),
inference(avatar_contradiction_clause,[],[f543]) ).
fof(f551,definition,
( spl55_6
<=> ssList(sK12(sK9)) ),
introduced(definition,[new_symbols(definition,[spl55_6])],[avatar_definition]) ).
fof(f552,plain,
( ssList(sK12(sK9))
| ~ spl55_6 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f553,plain,
( ~ ssList(sK12(sK9))
| spl55_6 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f555,definition,
( spl55_7
<=> ssList(cons(sK13(sK9),nil)) ),
introduced(definition,[new_symbols(definition,[spl55_7])],[avatar_definition]) ).
fof(f556,plain,
( ssList(cons(sK13(sK9),nil))
| ~ spl55_7 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f557,plain,
( ~ ssList(cons(sK13(sK9),nil))
| spl55_7 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f559,definition,
( spl55_8
<=> nil = sK12(sK9) ),
introduced(definition,[new_symbols(definition,[spl55_8])],[avatar_definition]) ).
fof(f560,plain,
( nil != sK12(sK9)
| spl55_8 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f561,plain,
( nil = sK12(sK9)
| ~ spl55_8 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f568,plain,
( nil = sK9
| ~ ssList(sK9)
| spl55_6 ),
inference(resolution,[],[f553,f284]) ).
fof(f569,plain,
( ~ ssList(sK9)
| spl55_4
| spl55_6 ),
inference(forward_subsumption_resolution,[],[f568,f452]) ).
fof(f570,plain,
( $false
| spl55_4
| spl55_6 ),
inference(forward_subsumption_resolution,[],[f569,f405]) ).
fof(f571,plain,
( spl55_4
| spl55_6 ),
inference(avatar_contradiction_clause,[],[f570]) ).
fof(f577,plain,
! [X0,X1] :
( rearsegP(cons(X0,X1),X1)
| ~ ssList(cons(X0,nil))
| ~ ssList(X1)
| ~ ssList(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(superposition,[],[f426,f253]) ).
fof(f581,plain,
! [X0,X1] :
( rearsegP(cons(X0,X1),X1)
| ~ ssList(cons(X0,nil))
| ~ ssList(X1)
| ~ ssList(cons(X0,X1))
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f577]) ).
fof(f584,plain,
! [X0,X1] :
( ~ ssList(cons(X0,nil))
| rearsegP(cons(X0,X1),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[],[f581,f288]) ).
fof(f586,plain,
( ~ ssItem(sK13(sK9))
| ~ ssList(nil)
| spl55_7 ),
inference(resolution,[],[f557,f288]) ).
fof(f587,plain,
( ~ ssItem(sK13(sK9))
| spl55_7 ),
inference(forward_subsumption_resolution,[],[f586,f394]) ).
fof(f598,plain,
( nil = sK9
| ~ ssList(sK9)
| spl55_7 ),
inference(resolution,[],[f587,f283]) ).
fof(f599,plain,
( ~ ssList(sK9)
| spl55_4
| spl55_7 ),
inference(forward_subsumption_resolution,[],[f598,f452]) ).
fof(f600,plain,
( $false
| spl55_4
| spl55_7 ),
inference(forward_subsumption_resolution,[],[f599,f405]) ).
fof(f601,plain,
( spl55_4
| spl55_7 ),
inference(avatar_contradiction_clause,[],[f600]) ).
fof(f685,definition,
( spl55_10
<=> ssItem(sK13(sK9)) ),
introduced(definition,[new_symbols(definition,[spl55_10])],[avatar_definition]) ).
fof(f686,plain,
( ssItem(sK13(sK9))
| ~ spl55_10 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f687,plain,
( ~ ssItem(sK13(sK9))
| spl55_10 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f755,plain,
( nil = sK9
| ~ ssList(sK9)
| spl55_10 ),
inference(resolution,[],[f687,f283]) ).
fof(f756,plain,
( ~ ssList(sK9)
| spl55_4
| spl55_10 ),
inference(forward_subsumption_resolution,[],[f755,f452]) ).
fof(f757,plain,
( $false
| spl55_4
| spl55_10 ),
inference(forward_subsumption_resolution,[],[f756,f405]) ).
fof(f758,plain,
( spl55_4
| spl55_10 ),
inference(avatar_contradiction_clause,[],[f757]) ).
fof(f803,plain,
! [X0] :
( sK9 != X0
| ~ ssList(sK12(X0))
| sK8 = app(sK12(X0),cons(sK13(X0),nil))
| ~ ssItem(sK13(X0))
| nil = X0
| ~ ssList(X0) ),
inference(superposition,[],[f521,f282]) ).
fof(f804,plain,
! [X0] :
( sK9 != X0
| sK8 = app(sK12(X0),cons(sK13(X0),nil))
| ~ ssItem(sK13(X0))
| nil = X0
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f803,f284]) ).
fof(f805,plain,
! [X0] :
( sK9 != X0
| sK8 = app(sK12(X0),cons(sK13(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f804,f283]) ).
fof(f824,plain,
( sK8 = app(sK12(sK9),cons(sK13(sK9),nil))
| nil = sK9
| ~ ssList(sK9) ),
inference(equality_resolution,[],[f805]) ).
fof(f825,plain,
( sK8 = app(sK12(sK9),cons(sK13(sK9),nil))
| ~ ssList(sK9)
| spl55_4 ),
inference(forward_subsumption_resolution,[],[f824,f452]) ).
fof(f826,plain,
( sK8 = app(sK12(sK9),cons(sK13(sK9),nil))
| spl55_4 ),
inference(forward_subsumption_resolution,[],[f825,f405]) ).
fof(f842,plain,
( rearsegP(sK8,cons(sK13(sK9),nil))
| ~ ssList(sK12(sK9))
| ~ ssList(cons(sK13(sK9),nil))
| ~ ssList(sK8)
| spl55_4 ),
inference(superposition,[],[f426,f826]) ).
fof(f843,plain,
( frontsegP(sK8,sK12(sK9))
| ~ ssList(cons(sK13(sK9),nil))
| ~ ssList(sK12(sK9))
| ~ ssList(sK8)
| spl55_4 ),
inference(superposition,[],[f427,f826]) ).
fof(f844,plain,
( frontsegP(sK8,sK12(sK9))
| ~ ssList(sK12(sK9))
| ~ ssList(sK8)
| spl55_4
| ~ spl55_7 ),
inference(forward_subsumption_resolution,[],[f843,f556]) ).
fof(f845,plain,
( rearsegP(sK8,cons(sK13(sK9),nil))
| ~ ssList(cons(sK13(sK9),nil))
| ~ ssList(sK8)
| spl55_4
| ~ spl55_6 ),
inference(forward_subsumption_resolution,[],[f842,f552]) ).
fof(f854,plain,
( frontsegP(sK8,sK12(sK9))
| ~ ssList(sK8)
| spl55_4
| ~ spl55_6
| ~ spl55_7 ),
inference(forward_subsumption_resolution,[],[f844,f552]) ).
fof(f855,plain,
( rearsegP(sK8,cons(sK13(sK9),nil))
| ~ ssList(sK8)
| spl55_4
| ~ spl55_6
| ~ spl55_7 ),
inference(forward_subsumption_resolution,[],[f845,f556]) ).
fof(f864,plain,
( frontsegP(sK8,sK12(sK9))
| spl55_4
| ~ spl55_6
| ~ spl55_7 ),
inference(forward_subsumption_resolution,[],[f854,f406]) ).
fof(f865,plain,
( rearsegP(sK8,cons(sK13(sK9),nil))
| spl55_4
| ~ spl55_6
| ~ spl55_7 ),
inference(forward_subsumption_resolution,[],[f855,f406]) ).
fof(f873,plain,
( sK8 = app(sK12(sK9),sK54(sK8,sK12(sK9)))
| ~ ssList(sK12(sK9))
| ~ ssList(sK8)
| spl55_4
| ~ spl55_6
| ~ spl55_7 ),
inference(resolution,[],[f864,f387]) ).
fof(f876,plain,
( sK8 = app(sK12(sK9),sK54(sK8,sK12(sK9)))
| ~ ssList(sK8)
| spl55_4
| ~ spl55_6
| ~ spl55_7 ),
inference(forward_subsumption_resolution,[],[f873,f552]) ).
fof(f879,plain,
( sK8 = app(sK12(sK9),sK54(sK8,sK12(sK9)))
| spl55_4
| ~ spl55_6
| ~ spl55_7 ),
inference(forward_subsumption_resolution,[],[f876,f406]) ).
fof(f885,plain,
( sK8 = app(sK53(sK8,cons(sK13(sK9),nil)),cons(sK13(sK9),nil))
| ~ ssList(cons(sK13(sK9),nil))
| ~ ssList(sK8)
| spl55_4
| ~ spl55_6
| ~ spl55_7 ),
inference(resolution,[],[f865,f384]) ).
fof(f888,plain,
( sK8 = app(sK53(sK8,cons(sK13(sK9),nil)),cons(sK13(sK9),nil))
| ~ ssList(sK8)
| spl55_4
| ~ spl55_6
| ~ spl55_7 ),
inference(forward_subsumption_resolution,[],[f885,f556]) ).
fof(f890,plain,
( sK8 = app(sK53(sK8,cons(sK13(sK9),nil)),cons(sK13(sK9),nil))
| spl55_4
| ~ spl55_6
| ~ spl55_7 ),
inference(forward_subsumption_resolution,[],[f888,f406]) ).
fof(f1008,definition,
( spl55_24
<=> ssList(sK54(sK8,sK12(sK9))) ),
introduced(definition,[new_symbols(definition,[spl55_24])],[avatar_definition]) ).
fof(f1009,plain,
( ssList(sK54(sK8,sK12(sK9)))
| ~ spl55_24 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1010,plain,
( ~ ssList(sK54(sK8,sK12(sK9)))
| spl55_24 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1042,plain,
( ~ frontsegP(sK8,sK12(sK9))
| ~ ssList(sK12(sK9))
| ~ ssList(sK8)
| spl55_24 ),
inference(resolution,[],[f1010,f388]) ).
fof(f1043,plain,
( ~ ssList(sK12(sK9))
| ~ ssList(sK8)
| spl55_4
| ~ spl55_6
| ~ spl55_7
| spl55_24 ),
inference(forward_subsumption_resolution,[],[f1042,f864]) ).
fof(f1044,plain,
( ~ ssList(sK8)
| spl55_4
| ~ spl55_6
| ~ spl55_7
| spl55_24 ),
inference(forward_subsumption_resolution,[],[f1043,f552]) ).
fof(f1045,plain,
( $false
| spl55_4
| ~ spl55_6
| ~ spl55_7
| spl55_24 ),
inference(forward_subsumption_resolution,[],[f1044,f406]) ).
fof(f1046,plain,
( spl55_4
| ~ spl55_6
| ~ spl55_7
| spl55_24 ),
inference(avatar_contradiction_clause,[],[f1045]) ).
fof(f1297,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0)
| ~ ssList(X0) ),
inference(superposition,[],[f425,f378]) ).
fof(f1301,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1)
| ~ ssList(app(X0,X1)) ),
inference(superposition,[],[f425,f365]) ).
fof(f1302,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1) ),
inference(duplicate_literal_removal,[],[f1301]) ).
fof(f1304,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0) ),
inference(duplicate_literal_removal,[],[f1297]) ).
fof(f1309,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,X1),X1) ),
inference(forward_subsumption_resolution,[],[f1302,f394]) ).
fof(f1313,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,X1),X0) ),
inference(forward_subsumption_resolution,[],[f1304,f394]) ).
fof(f1315,plain,
! [X0,X1] :
( segmentP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f1309,f379]) ).
fof(f1318,plain,
! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f1313,f379]) ).
fof(f1570,definition,
( spl55_65
<=> ssList(sK53(sK8,cons(sK13(sK9),nil))) ),
introduced(definition,[new_symbols(definition,[spl55_65])],[avatar_definition]) ).
fof(f1571,plain,
( ssList(sK53(sK8,cons(sK13(sK9),nil)))
| ~ spl55_65 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f1572,plain,
( ~ ssList(sK53(sK8,cons(sK13(sK9),nil)))
| spl55_65 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f1621,plain,
( ~ rearsegP(sK8,cons(sK13(sK9),nil))
| ~ ssList(cons(sK13(sK9),nil))
| ~ ssList(sK8)
| spl55_65 ),
inference(resolution,[],[f1572,f385]) ).
fof(f1622,plain,
( ~ ssList(cons(sK13(sK9),nil))
| ~ ssList(sK8)
| spl55_4
| ~ spl55_6
| ~ spl55_7
| spl55_65 ),
inference(forward_subsumption_resolution,[],[f1621,f865]) ).
fof(f1623,plain,
( ~ ssList(sK8)
| spl55_4
| ~ spl55_6
| ~ spl55_7
| spl55_65 ),
inference(forward_subsumption_resolution,[],[f1622,f556]) ).
fof(f1624,plain,
( $false
| spl55_4
| ~ spl55_6
| ~ spl55_7
| spl55_65 ),
inference(forward_subsumption_resolution,[],[f1623,f406]) ).
fof(f1625,plain,
( spl55_4
| ~ spl55_6
| ~ spl55_7
| spl55_65 ),
inference(avatar_contradiction_clause,[],[f1624]) ).
fof(f1745,plain,
( segmentP(sK8,cons(sK13(sK9),nil))
| ~ ssList(cons(sK13(sK9),nil))
| ~ ssList(sK53(sK8,cons(sK13(sK9),nil)))
| spl55_4
| ~ spl55_6
| ~ spl55_7 ),
inference(superposition,[],[f1315,f890]) ).
fof(f1754,plain,
( segmentP(sK8,cons(sK13(sK9),nil))
| ~ ssList(sK53(sK8,cons(sK13(sK9),nil)))
| spl55_4
| ~ spl55_6
| ~ spl55_7 ),
inference(forward_subsumption_resolution,[],[f1745,f556]) ).
fof(f1762,plain,
( segmentP(sK8,cons(sK13(sK9),nil))
| spl55_4
| ~ spl55_6
| ~ spl55_7
| ~ spl55_65 ),
inference(forward_subsumption_resolution,[],[f1754,f1571]) ).
fof(f1781,plain,
( segmentP(sK8,sK12(sK9))
| ~ ssList(sK12(sK9))
| ~ ssList(sK54(sK8,sK12(sK9)))
| spl55_4
| ~ spl55_6
| ~ spl55_7 ),
inference(superposition,[],[f1318,f879]) ).
fof(f1792,plain,
( segmentP(sK8,sK12(sK9))
| ~ ssList(sK54(sK8,sK12(sK9)))
| spl55_4
| ~ spl55_6
| ~ spl55_7 ),
inference(forward_subsumption_resolution,[],[f1781,f552]) ).
fof(f1800,plain,
( segmentP(sK8,sK12(sK9))
| spl55_4
| ~ spl55_6
| ~ spl55_7
| ~ spl55_24 ),
inference(forward_subsumption_resolution,[],[f1792,f1009]) ).
fof(f2076,plain,
( ! [X0] :
( rearsegP(cons(sK13(sK9),X0),X0)
| ~ ssList(X0)
| ~ ssItem(sK13(sK9)) )
| ~ spl55_7 ),
inference(resolution,[],[f584,f556]) ).
fof(f2078,plain,
( ! [X0] :
( rearsegP(cons(sK13(sK9),X0),X0)
| ~ ssList(X0) )
| ~ spl55_7
| ~ spl55_10 ),
inference(forward_subsumption_resolution,[],[f2076,f686]) ).
fof(f3827,plain,
( rearsegP(sK9,sK12(sK9))
| ~ ssList(sK12(sK9))
| nil = sK9
| ~ ssList(sK9)
| ~ spl55_7
| ~ spl55_10 ),
inference(superposition,[],[f2078,f282]) ).
fof(f3830,plain,
( rearsegP(sK9,sK12(sK9))
| nil = sK9
| ~ ssList(sK9)
| ~ spl55_7
| ~ spl55_10 ),
inference(forward_subsumption_resolution,[],[f3827,f284]) ).
fof(f3832,plain,
( rearsegP(sK9,sK12(sK9))
| ~ ssList(sK9)
| spl55_4
| ~ spl55_7
| ~ spl55_10 ),
inference(forward_subsumption_resolution,[],[f3830,f452]) ).
fof(f3834,plain,
( rearsegP(sK9,sK12(sK9))
| spl55_4
| ~ spl55_7
| ~ spl55_10 ),
inference(forward_subsumption_resolution,[],[f3832,f405]) ).
fof(f3835,plain,
( sK9 = app(sK53(sK9,sK12(sK9)),sK12(sK9))
| ~ ssList(sK12(sK9))
| ~ ssList(sK9)
| spl55_4
| ~ spl55_7
| ~ spl55_10 ),
inference(resolution,[],[f3834,f384]) ).
fof(f3840,plain,
( sK9 = app(sK53(sK9,sK12(sK9)),sK12(sK9))
| ~ ssList(sK9)
| spl55_4
| ~ spl55_6
| ~ spl55_7
| ~ spl55_10 ),
inference(forward_subsumption_resolution,[],[f3835,f552]) ).
fof(f3843,plain,
( sK9 = app(sK53(sK9,sK12(sK9)),sK12(sK9))
| spl55_4
| ~ spl55_6
| ~ spl55_7
| ~ spl55_10 ),
inference(forward_subsumption_resolution,[],[f3840,f405]) ).
fof(f4836,plain,
( segmentP(sK9,sK12(sK9))
| ~ ssList(sK12(sK9))
| ~ ssList(sK53(sK9,sK12(sK9)))
| spl55_4
| ~ spl55_6
| ~ spl55_7
| ~ spl55_10 ),
inference(superposition,[],[f1315,f3843]) ).
fof(f4839,plain,
( segmentP(sK9,sK12(sK9))
| ~ ssList(sK53(sK9,sK12(sK9)))
| spl55_4
| ~ spl55_6
| ~ spl55_7
| ~ spl55_10 ),
inference(forward_subsumption_resolution,[],[f4836,f552]) ).
fof(f4869,definition,
( spl55_101
<=> ssList(sK53(sK9,sK12(sK9))) ),
introduced(definition,[new_symbols(definition,[spl55_101])],[avatar_definition]) ).
fof(f4871,plain,
( ~ ssList(sK53(sK9,sK12(sK9)))
| spl55_101 ),
inference(avatar_component_clause,[],[f4869]) ).
fof(f4878,definition,
( spl55_103
<=> segmentP(sK9,sK12(sK9)) ),
introduced(definition,[new_symbols(definition,[spl55_103])],[avatar_definition]) ).
fof(f4880,plain,
( segmentP(sK9,sK12(sK9))
| ~ spl55_103 ),
inference(avatar_component_clause,[],[f4878]) ).
fof(f4881,plain,
( ~ spl55_101
| spl55_103
| spl55_4
| ~ spl55_6
| ~ spl55_7
| ~ spl55_10 ),
inference(avatar_split_clause,[],[f4839,f685,f555,f551,f451,f4878,f4869]) ).
fof(f5045,plain,
( ~ rearsegP(sK9,sK12(sK9))
| ~ ssList(sK12(sK9))
| ~ ssList(sK9)
| spl55_101 ),
inference(resolution,[],[f4871,f385]) ).
fof(f5048,plain,
( ~ ssList(sK12(sK9))
| ~ ssList(sK9)
| spl55_4
| ~ spl55_7
| ~ spl55_10
| spl55_101 ),
inference(forward_subsumption_resolution,[],[f5045,f3834]) ).
fof(f5050,plain,
( ~ ssList(sK9)
| spl55_4
| ~ spl55_6
| ~ spl55_7
| ~ spl55_10
| spl55_101 ),
inference(forward_subsumption_resolution,[],[f5048,f552]) ).
fof(f5051,plain,
( $false
| spl55_4
| ~ spl55_6
| ~ spl55_7
| ~ spl55_10
| spl55_101 ),
inference(forward_subsumption_resolution,[],[f5050,f405]) ).
fof(f5052,plain,
( spl55_4
| ~ spl55_6
| ~ spl55_7
| ~ spl55_10
| spl55_101 ),
inference(avatar_contradiction_clause,[],[f5051]) ).
fof(f5079,plain,
( ~ segmentP(sK8,sK12(sK9))
| ~ ssList(sK12(sK9))
| ~ neq(sK12(sK9),nil)
| ~ spl55_1
| ~ spl55_103 ),
inference(resolution,[],[f4880,f439]) ).
fof(f5090,plain,
( ~ ssList(sK12(sK9))
| ~ neq(sK12(sK9),nil)
| ~ spl55_1
| spl55_4
| ~ spl55_6
| ~ spl55_7
| ~ spl55_24
| ~ spl55_103 ),
inference(forward_subsumption_resolution,[],[f5079,f1800]) ).
fof(f5096,plain,
( ~ neq(sK12(sK9),nil)
| ~ spl55_1
| spl55_4
| ~ spl55_6
| ~ spl55_7
| ~ spl55_24
| ~ spl55_103 ),
inference(forward_subsumption_resolution,[],[f5090,f552]) ).
fof(f5233,plain,
( nil = sK12(sK9)
| ~ ssList(nil)
| ~ ssList(sK12(sK9))
| ~ spl55_1
| spl55_4
| ~ spl55_6
| ~ spl55_7
| ~ spl55_24
| ~ spl55_103 ),
inference(resolution,[],[f5096,f391]) ).
fof(f5235,plain,
( ~ ssList(nil)
| ~ ssList(sK12(sK9))
| ~ spl55_1
| spl55_4
| ~ spl55_6
| ~ spl55_7
| spl55_8
| ~ spl55_24
| ~ spl55_103 ),
inference(forward_subsumption_resolution,[],[f5233,f560]) ).
fof(f5237,plain,
( ~ ssList(sK12(sK9))
| ~ spl55_1
| spl55_4
| ~ spl55_6
| ~ spl55_7
| spl55_8
| ~ spl55_24
| ~ spl55_103 ),
inference(forward_subsumption_resolution,[],[f5235,f394]) ).
fof(f5247,plain,
( $false
| ~ spl55_1
| spl55_4
| ~ spl55_6
| ~ spl55_7
| spl55_8
| ~ spl55_24
| ~ spl55_103 ),
inference(forward_subsumption_resolution,[],[f5237,f552]) ).
fof(f5248,plain,
( ~ spl55_1
| spl55_4
| ~ spl55_6
| ~ spl55_7
| spl55_8
| ~ spl55_24
| ~ spl55_103 ),
inference(avatar_contradiction_clause,[],[f5247]) ).
fof(f5373,plain,
( sK9 = cons(sK13(sK9),nil)
| nil = sK9
| ~ ssList(sK9)
| ~ spl55_8 ),
inference(superposition,[],[f282,f561]) ).
fof(f5375,plain,
( sK9 = cons(sK13(sK9),nil)
| ~ ssList(sK9)
| spl55_4
| ~ spl55_8 ),
inference(forward_subsumption_resolution,[],[f5373,f452]) ).
fof(f5378,plain,
( sK9 = cons(sK13(sK9),nil)
| spl55_4
| ~ spl55_8 ),
inference(forward_subsumption_resolution,[],[f5375,f405]) ).
fof(f6189,plain,
( segmentP(sK8,sK9)
| spl55_4
| ~ spl55_6
| ~ spl55_7
| ~ spl55_8
| ~ spl55_65 ),
inference(superposition,[],[f1762,f5378]) ).
fof(f6319,plain,
( $false
| ~ spl55_1
| ~ spl55_3
| spl55_4
| ~ spl55_6
| ~ spl55_7
| ~ spl55_8
| ~ spl55_65 ),
inference(forward_subsumption_resolution,[],[f6189,f462]) ).
fof(f6320,plain,
( ~ spl55_1
| ~ spl55_3
| spl55_4
| ~ spl55_6
| ~ spl55_7
| ~ spl55_8
| ~ spl55_65 ),
inference(avatar_contradiction_clause,[],[f6319]) ).
cnf(s1,plain,
( spl55_1
| ~ spl55_2 ),
inference(sat_conversion,[],[f444]) ).
cnf(s2,plain,
( ~ spl55_2
| spl55_3 ),
inference(sat_conversion,[],[f449]) ).
cnf(s3,plain,
( spl55_1
| spl55_4 ),
inference(sat_conversion,[],[f454]) ).
cnf(s4,plain,
( spl55_3
| spl55_4 ),
inference(sat_conversion,[],[f455]) ).
cnf(s5,plain,
( spl55_2
| ~ spl55_4 ),
inference(sat_conversion,[],[f456]) ).
cnf(s7,plain,
( ~ spl55_3
| ~ spl55_4 ),
inference(sat_conversion,[],[f544]) ).
cnf(s10,plain,
( spl55_4
| spl55_6 ),
inference(sat_conversion,[],[f571]) ).
cnf(s11,plain,
( spl55_4
| spl55_7 ),
inference(sat_conversion,[],[f601]) ).
cnf(s28,plain,
( spl55_4
| spl55_10 ),
inference(sat_conversion,[],[f758]) ).
cnf(s37,plain,
( spl55_4
| ~ spl55_6
| ~ spl55_7
| spl55_24 ),
inference(sat_conversion,[],[f1046]) ).
cnf(s77,plain,
( spl55_4
| ~ spl55_6
| ~ spl55_7
| spl55_65 ),
inference(sat_conversion,[],[f1625]) ).
cnf(s112,plain,
( spl55_4
| ~ spl55_6
| ~ spl55_7
| ~ spl55_10
| ~ spl55_101
| spl55_103 ),
inference(sat_conversion,[],[f4881]) ).
cnf(s141,plain,
( spl55_4
| ~ spl55_6
| ~ spl55_7
| ~ spl55_10
| spl55_101 ),
inference(sat_conversion,[],[f5052]) ).
cnf(s145,plain,
( ~ spl55_1
| spl55_4
| ~ spl55_6
| ~ spl55_7
| spl55_8
| ~ spl55_24
| ~ spl55_103 ),
inference(sat_conversion,[],[f5248]) ).
cnf(s168,plain,
( ~ spl55_1
| ~ spl55_3
| spl55_4
| ~ spl55_6
| ~ spl55_7
| ~ spl55_8
| ~ spl55_65 ),
inference(sat_conversion,[],[f6320]) ).
cnf(s187,plain,
spl55_1,
inference(rat,[],[s5,s1,s3]) ).
cnf(s188,plain,
spl55_4,
inference(rat,[],[s145,s112,s168,s37,s77,s141,s4,s10,s11,s28,s187]) ).
cnf(s189,plain,
~ spl55_3,
inference(rat,[],[s7,s188]) ).
cnf(s190,plain,
spl55_2,
inference(rat,[],[s5,s188]) ).
cnf(s191,plain,
$false,
inference(rat,[],[s2,s189,s190]) ).
fof(f6377,plain,
$false,
inference(avatar_sat_refutation,[],[s191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC062+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 07:40:33 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 4.69/1.66 % (1746488)Detected formulas, will run a generic FOF schedule.
% 4.69/1.66 % (1746498)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=999172241:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.69/1.66 % (1746495)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=2878977444:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.69/1.66 % (1746496)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=618850332:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.69/1.66 % (1746494)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=1217214721:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.69/1.66 % (1746497)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2883152570:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.69/1.66 % (1746499)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=120013945:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.69/1.66 % (1746498)Instruction limit reached!
% 4.69/1.66 % (1746498)------------------------------
% 4.69/1.66 % (1746498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.66 % (1746498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.66 % (1746498)CaDiCaL version: 2.1.3
% 4.69/1.66 % (1746498)Termination reason: Instruction limit
% 4.69/1.66 % (1746498)Termination phase: Saturation
% 4.69/1.66 % (1746498)Time elapsed: 0.038 s
% 4.69/1.66 % (1746498)Peak memory usage: 88 MB
% 4.69/1.66 % (1746498)Instructions burned: 120 (million)
% 4.69/1.66 % (1746500)dis-21_1_sil=8000:lcm=predicate:random_seed=4197064191: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)
% 4.69/1.66 % (1746497)Instruction limit reached!
% 4.69/1.66 % (1746497)------------------------------
% 4.69/1.66 % (1746497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.66 % (1746497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.66 % (1746497)CaDiCaL version: 2.1.3
% 4.69/1.66 % (1746497)Termination reason: Instruction limit
% 4.69/1.66 % (1746497)Termination phase: Saturation
% 4.69/1.66 % (1746497)Time elapsed: 0.064 s
% 4.69/1.66 % (1746497)Peak memory usage: 89 MB
% 4.69/1.66 % (1746497)Instructions burned: 111 (million)
% 4.69/1.66 % (1746500)Instruction limit reached!
% 4.69/1.66 % (1746500)------------------------------
% 4.69/1.66 % (1746500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.66 % (1746500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.66 % (1746500)CaDiCaL version: 2.1.3
% 4.69/1.66 % (1746500)Termination reason: Instruction limit
% 4.69/1.66 % (1746500)Termination phase: Saturation
% 4.69/1.66 % (1746500)Time elapsed: 0.076 s
% 4.69/1.66 % (1746500)Peak memory usage: 90 MB
% 4.69/1.66 % (1746500)Instructions burned: 129 (million)
% 4.69/1.66 % (1746499)Instruction limit reached!
% 4.69/1.66 % (1746499)------------------------------
% 4.69/1.66 % (1746499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.66 % (1746499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.66 % (1746499)CaDiCaL version: 2.1.3
% 4.69/1.66 % (1746499)Termination reason: Instruction limit
% 4.69/1.66 % (1746499)Termination phase: Saturation
% 4.69/1.66 % (1746499)Time elapsed: 0.093 s
% 4.69/1.66 % (1746499)Peak memory usage: 90 MB
% 4.69/1.66 % (1746499)Instructions burned: 141 (million)
% 4.69/1.66 % (1746508)lrs+10_1_sil=8000:sp=occurrence:random_seed=3877905510:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.69/1.66 % (1746509)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4074607670:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.69/1.66 % (1746508)Instruction limit reached!
% 4.69/1.66 % (1746508)------------------------------
% 4.69/1.66 % (1746508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.66 % (1746508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.66 % (1746508)CaDiCaL version: 2.1.3
% 4.69/1.66 % (1746508)Termination reason: Instruction limit
% 4.69/1.66 % (1746508)Termination phase: Saturation
% 4.69/1.66 % (1746508)Time elapsed: 0.094 s
% 4.69/1.66 % (1746508)Peak memory usage: 93 MB
% 4.69/1.66 % (1746508)Instructions burned: 288 (million)
% 4.69/1.66 % (1746510)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2731341980:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.69/1.66 % (1746511)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=3801618914:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.69/1.66 % (1746509)Instruction limit reached!
% 4.69/1.66 % (1746509)------------------------------
% 4.69/1.66 % (1746509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.66 % (1746509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.66 % (1746509)CaDiCaL version: 2.1.3
% 4.69/1.66 % (1746509)Termination reason: Instruction limit
% 4.69/1.66 % (1746509)Termination phase: Saturation
% 4.69/1.66 % (1746509)Time elapsed: 0.076 s
% 4.69/1.66 % (1746509)Peak memory usage: 91 MB
% 4.69/1.66 % (1746509)Instructions burned: 158 (million)
% 4.69/1.66 % (1746515)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=579884822:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.69/1.66 % (1746511)Instruction limit reached!
% 4.69/1.66 % (1746511)------------------------------
% 4.69/1.66 % (1746511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.66 % (1746511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.66 % (1746511)CaDiCaL version: 2.1.3
% 4.69/1.66 % (1746511)Termination reason: Instruction limit
% 4.69/1.66 % (1746511)Termination phase: Saturation
% 4.69/1.66 % (1746511)Time elapsed: 0.120 s
% 4.69/1.66 % (1746511)Peak memory usage: 94 MB
% 4.69/1.66 % (1746511)Instructions burned: 248 (million)
% 4.69/1.66 % (1746515)Instruction limit reached!
% 4.69/1.66 % (1746515)------------------------------
% 4.69/1.66 % (1746515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.66 % (1746515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.66 % (1746515)CaDiCaL version: 2.1.3
% 4.69/1.66 % (1746515)Termination reason: Instruction limit
% 4.69/1.66 % (1746515)Termination phase: Saturation
% 4.69/1.66 % (1746515)Time elapsed: 0.088 s
% 4.69/1.66 % (1746515)Peak memory usage: 89 MB
% 4.69/1.66 % (1746515)Instructions burned: 296 (million)
% 4.69/1.66 % (1746517)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=653634838:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.69/1.66 % (1746510)First to succeed.
% 4.69/1.66 % (1746510)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1746488"
% 4.69/1.66 % (1746520)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=580367527:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.69/1.66 % (1746519)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1958252374:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 4.69/1.66 % (1746520)Instruction limit reached!
% 4.69/1.66 % (1746520)------------------------------
% 4.69/1.66 % (1746520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.66 % (1746520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.66 % (1746520)CaDiCaL version: 2.1.3
% 4.69/1.66 % (1746520)Termination reason: Instruction limit
% 4.69/1.66 % (1746520)Termination phase: Saturation
% 4.69/1.66 % (1746520)Time elapsed: 0.034 s
% 4.69/1.66 % (1746520)Peak memory usage: 90 MB
% 4.69/1.66 % (1746520)Instructions burned: 128 (million)
% 4.69/1.66 % (1746519)Instruction limit reached!
% 4.69/1.66 % (1746519)------------------------------
% 4.69/1.66 % (1746519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.66 % (1746519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.66 % (1746519)CaDiCaL version: 2.1.3
% 4.69/1.66 % (1746519)Termination reason: Instruction limit
% 4.69/1.66 % (1746519)Termination phase: Saturation
% 4.69/1.66 % (1746519)Time elapsed: 0.077 s
% 4.69/1.66 % (1746519)Peak memory usage: 90 MB
% 4.69/1.66 % (1746519)Instructions burned: 113 (million)
% 4.69/1.66 % (1746524)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1492109970:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 4.69/1.66 % (1746524)Instruction limit reached!
% 4.69/1.66 % (1746524)------------------------------
% 4.69/1.66 % (1746524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.66 % (1746524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.66 % (1746524)CaDiCaL version: 2.1.3
% 4.69/1.66 % (1746524)Termination reason: Instruction limit
% 4.69/1.66 % (1746524)Termination phase: Saturation
% 4.69/1.66 % (1746524)Time elapsed: 0.036 s
% 4.69/1.66 % (1746524)Peak memory usage: 89 MB
% 4.69/1.66 % (1746524)Instructions burned: 115 (million)
% 4.69/1.66 % (1746510)Refutation found. Thanks to Tanya!
% 4.69/1.66 % SZS status Theorem for theBenchmark
% 4.69/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 6.25/1.86 % (1746510)------------------------------
% 6.25/1.86 % (1746510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.86 % (1746510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.86 % (1746510)CaDiCaL version: 2.1.3
% 6.25/1.86 % (1746510)Termination reason: Refutation
% 6.25/1.86 % (1746510)Time elapsed: 0.200 s
% 6.25/1.86 % (1746510)Peak memory usage: 93 MB
% 6.25/1.86 % (1746510)Instructions burned: 322 (million)
% 6.25/1.86 % (1746510)------------------------------
% 6.25/1.86 % (1746510)------------------------------
% 6.25/1.86 % (1746488)Success in time 0.807 s
% 6.25/1.86 % Vampire exiting
%------------------------------------------------------------------------------