TSTP Solution File: SWC110+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC110+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:38:52 EDT 2022
% Result : Theorem 2.62s 0.73s
% Output : Refutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 21
% Syntax : Number of formulae : 108 ( 14 unt; 0 def)
% Number of atoms : 599 ( 222 equ)
% Maximal formula atoms : 42 ( 5 avg)
% Number of connectives : 783 ( 292 ~; 270 |; 177 &)
% ( 11 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 195 ( 142 !; 53 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1155,plain,
$false,
inference(avatar_sat_refutation,[],[f256,f261,f267,f320,f322,f343,f1153]) ).
fof(f1153,plain,
spl15_2,
inference(avatar_contradiction_clause,[],[f1152]) ).
fof(f1152,plain,
( $false
| spl15_2 ),
inference(subsumption_resolution,[],[f1151,f224]) ).
fof(f224,plain,
ssList(sK9),
inference(definition_unfolding,[],[f200,f192]) ).
fof(f192,plain,
sK7 = sK9,
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
( ssList(sK6)
& ssList(sK7)
& ( nil = sK9
| nil != sK8 )
& ( ( ( ~ neq(sK6,nil)
| ~ segmentP(sK7,sK6) )
& neq(sK7,nil) )
| ( nil = sK7
& nil != sK6 ) )
& sK8 = sK6
& ssList(sK9)
& sK7 = sK9
& equalelemsP(sK8)
& ssList(sK10)
& ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != sK10
| ~ ssList(X6)
| ! [X7] :
( app(X7,cons(X5,nil)) != sK8
| ~ ssList(X7) ) )
| ~ ssItem(X5) )
& sK9 = app(sK8,sK10)
& ssList(sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10])],[f100,f152,f151,f150,f149,f148]) ).
fof(f148,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( nil = X3
| nil != X2 )
& ( ( ( ~ neq(X0,nil)
| ~ segmentP(X1,X0) )
& neq(X1,nil) )
| ( nil = X1
& nil != X0 ) )
& X0 = X2
& ssList(X3)
& X1 = X3
& ? [X4] :
( equalelemsP(X2)
& ssList(X4)
& ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ~ ssList(X6)
| ! [X7] :
( app(X7,cons(X5,nil)) != X2
| ~ ssList(X7) ) )
| ~ ssItem(X5) )
& app(X2,X4) = X3 ) )
& ssList(X2) ) ) )
=> ( ssList(sK6)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( nil = X3
| nil != X2 )
& ( ( ( ~ neq(sK6,nil)
| ~ segmentP(X1,sK6) )
& neq(X1,nil) )
| ( nil = X1
& nil != sK6 ) )
& sK6 = X2
& ssList(X3)
& X1 = X3
& ? [X4] :
( equalelemsP(X2)
& ssList(X4)
& ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ~ ssList(X6)
| ! [X7] :
( app(X7,cons(X5,nil)) != X2
| ~ ssList(X7) ) )
| ~ ssItem(X5) )
& app(X2,X4) = X3 ) )
& ssList(X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( nil = X3
| nil != X2 )
& ( ( ( ~ neq(sK6,nil)
| ~ segmentP(X1,sK6) )
& neq(X1,nil) )
| ( nil = X1
& nil != sK6 ) )
& sK6 = X2
& ssList(X3)
& X1 = X3
& ? [X4] :
( equalelemsP(X2)
& ssList(X4)
& ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ~ ssList(X6)
| ! [X7] :
( app(X7,cons(X5,nil)) != X2
| ~ ssList(X7) ) )
| ~ ssItem(X5) )
& app(X2,X4) = X3 ) )
& ssList(X2) ) )
=> ( ssList(sK7)
& ? [X2] :
( ? [X3] :
( ( nil = X3
| nil != X2 )
& ( ( ( ~ neq(sK6,nil)
| ~ segmentP(sK7,sK6) )
& neq(sK7,nil) )
| ( nil = sK7
& nil != sK6 ) )
& sK6 = X2
& ssList(X3)
& sK7 = X3
& ? [X4] :
( equalelemsP(X2)
& ssList(X4)
& ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ~ ssList(X6)
| ! [X7] :
( app(X7,cons(X5,nil)) != X2
| ~ ssList(X7) ) )
| ~ ssItem(X5) )
& app(X2,X4) = X3 ) )
& ssList(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X2] :
( ? [X3] :
( ( nil = X3
| nil != X2 )
& ( ( ( ~ neq(sK6,nil)
| ~ segmentP(sK7,sK6) )
& neq(sK7,nil) )
| ( nil = sK7
& nil != sK6 ) )
& sK6 = X2
& ssList(X3)
& sK7 = X3
& ? [X4] :
( equalelemsP(X2)
& ssList(X4)
& ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ~ ssList(X6)
| ! [X7] :
( app(X7,cons(X5,nil)) != X2
| ~ ssList(X7) ) )
| ~ ssItem(X5) )
& app(X2,X4) = X3 ) )
& ssList(X2) )
=> ( ? [X3] :
( ( nil = X3
| nil != sK8 )
& ( ( ( ~ neq(sK6,nil)
| ~ segmentP(sK7,sK6) )
& neq(sK7,nil) )
| ( nil = sK7
& nil != sK6 ) )
& sK8 = sK6
& ssList(X3)
& sK7 = X3
& ? [X4] :
( equalelemsP(sK8)
& ssList(X4)
& ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ~ ssList(X6)
| ! [X7] :
( app(X7,cons(X5,nil)) != sK8
| ~ ssList(X7) ) )
| ~ ssItem(X5) )
& app(sK8,X4) = X3 ) )
& ssList(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
( ? [X3] :
( ( nil = X3
| nil != sK8 )
& ( ( ( ~ neq(sK6,nil)
| ~ segmentP(sK7,sK6) )
& neq(sK7,nil) )
| ( nil = sK7
& nil != sK6 ) )
& sK8 = sK6
& ssList(X3)
& sK7 = X3
& ? [X4] :
( equalelemsP(sK8)
& ssList(X4)
& ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ~ ssList(X6)
| ! [X7] :
( app(X7,cons(X5,nil)) != sK8
| ~ ssList(X7) ) )
| ~ ssItem(X5) )
& app(sK8,X4) = X3 ) )
=> ( ( nil = sK9
| nil != sK8 )
& ( ( ( ~ neq(sK6,nil)
| ~ segmentP(sK7,sK6) )
& neq(sK7,nil) )
| ( nil = sK7
& nil != sK6 ) )
& sK8 = sK6
& ssList(sK9)
& sK7 = sK9
& ? [X4] :
( equalelemsP(sK8)
& ssList(X4)
& ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ~ ssList(X6)
| ! [X7] :
( app(X7,cons(X5,nil)) != sK8
| ~ ssList(X7) ) )
| ~ ssItem(X5) )
& app(sK8,X4) = sK9 ) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
( ? [X4] :
( equalelemsP(sK8)
& ssList(X4)
& ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ~ ssList(X6)
| ! [X7] :
( app(X7,cons(X5,nil)) != sK8
| ~ ssList(X7) ) )
| ~ ssItem(X5) )
& app(sK8,X4) = sK9 )
=> ( equalelemsP(sK8)
& ssList(sK10)
& ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != sK10
| ~ ssList(X6)
| ! [X7] :
( app(X7,cons(X5,nil)) != sK8
| ~ ssList(X7) ) )
| ~ ssItem(X5) )
& sK9 = app(sK8,sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( nil = X3
| nil != X2 )
& ( ( ( ~ neq(X0,nil)
| ~ segmentP(X1,X0) )
& neq(X1,nil) )
| ( nil = X1
& nil != X0 ) )
& X0 = X2
& ssList(X3)
& X1 = X3
& ? [X4] :
( equalelemsP(X2)
& ssList(X4)
& ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ~ ssList(X6)
| ! [X7] :
( app(X7,cons(X5,nil)) != X2
| ~ ssList(X7) ) )
| ~ ssItem(X5) )
& app(X2,X4) = X3 ) )
& ssList(X2) ) ) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X0 = X2
& ( ( ( ~ neq(X0,nil)
| ~ segmentP(X1,X0) )
& neq(X1,nil) )
| ( nil = X1
& nil != X0 ) )
& ( nil = X3
| nil != X2 )
& X1 = X3
& ? [X4] :
( ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ~ ssList(X6)
| ! [X7] :
( app(X7,cons(X5,nil)) != X2
| ~ ssList(X7) ) )
| ~ ssItem(X5) )
& app(X2,X4) = X3
& equalelemsP(X2)
& ssList(X4) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| ( ( nil = X0
| nil != X1 )
& ( ( segmentP(X1,X0)
& neq(X0,nil) )
| ~ neq(X1,nil) ) )
| ( nil = X2
& nil != X3 )
| X1 != X3
| ! [X4] :
( ssList(X4)
=> ( ? [X5] :
( ? [X6] :
( ? [X7] :
( ssList(X7)
& app(X7,cons(X5,nil)) = X2 )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| app(X2,X4) != X3
| ~ equalelemsP(X2) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| ( ( nil = X0
| nil != X1 )
& ( ( segmentP(X1,X0)
& neq(X0,nil) )
| ~ neq(X1,nil) ) )
| ( nil = X2
& nil != X3 )
| X1 != X3
| ! [X4] :
( ssList(X4)
=> ( ? [X5] :
( ? [X6] :
( ? [X7] :
( ssList(X7)
& app(X7,cons(X5,nil)) = X2 )
& app(cons(X5,nil),X6) = X4
& ssList(X6) )
& ssItem(X5) )
| app(X2,X4) != X3
| ~ equalelemsP(X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f200,plain,
ssList(sK7),
inference(cnf_transformation,[],[f153]) ).
fof(f1151,plain,
( ~ ssList(sK9)
| spl15_2 ),
inference(subsumption_resolution,[],[f1150,f251]) ).
fof(f251,plain,
( ~ segmentP(sK9,sK6)
| spl15_2 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f249,plain,
( spl15_2
<=> segmentP(sK9,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f1150,plain,
( segmentP(sK9,sK6)
| ~ ssList(sK9) ),
inference(subsumption_resolution,[],[f1139,f190]) ).
fof(f190,plain,
ssList(sK10),
inference(cnf_transformation,[],[f153]) ).
fof(f1139,plain,
( ~ ssList(sK10)
| segmentP(sK9,sK6)
| ~ ssList(sK9) ),
inference(superposition,[],[f1019,f232]) ).
fof(f232,plain,
app(sK6,sK10) = sK9,
inference(definition_unfolding,[],[f188,f194]) ).
fof(f194,plain,
sK8 = sK6,
inference(cnf_transformation,[],[f153]) ).
fof(f188,plain,
sK9 = app(sK8,sK10),
inference(cnf_transformation,[],[f153]) ).
fof(f1019,plain,
! [X8] :
( segmentP(app(sK6,X8),sK6)
| ~ ssList(X8)
| ~ ssList(app(sK6,X8)) ),
inference(subsumption_resolution,[],[f1018,f182]) ).
fof(f182,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f1018,plain,
! [X8] :
( ~ ssList(X8)
| ~ ssList(app(sK6,X8))
| ~ ssList(nil)
| segmentP(app(sK6,X8),sK6) ),
inference(subsumption_resolution,[],[f1017,f233]) ).
fof(f233,plain,
ssList(sK6),
inference(definition_unfolding,[],[f187,f194]) ).
fof(f187,plain,
ssList(sK8),
inference(cnf_transformation,[],[f153]) ).
fof(f1017,plain,
! [X8] :
( ~ ssList(app(sK6,X8))
| ~ ssList(sK6)
| ~ ssList(nil)
| ~ ssList(X8)
| segmentP(app(sK6,X8),sK6) ),
inference(superposition,[],[f237,f993]) ).
fof(f993,plain,
sK6 = app(nil,sK6),
inference(subsumption_resolution,[],[f992,f224]) ).
fof(f992,plain,
( sK6 = app(nil,sK6)
| ~ ssList(sK9) ),
inference(subsumption_resolution,[],[f989,f182]) ).
fof(f989,plain,
( ~ ssList(nil)
| sK6 = app(nil,sK6)
| ~ ssList(sK9) ),
inference(trivial_inequality_removal,[],[f988]) ).
fof(f988,plain,
( sK6 = app(nil,sK6)
| ~ ssList(sK9)
| sK9 != sK9
| ~ ssList(nil) ),
inference(superposition,[],[f496,f210]) ).
fof(f210,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f496,plain,
! [X9] :
( app(X9,sK9) != sK9
| app(X9,sK6) = sK6
| ~ ssList(X9) ),
inference(subsumption_resolution,[],[f487,f233]) ).
fof(f487,plain,
! [X9] :
( ~ ssList(X9)
| app(X9,sK6) = sK6
| ~ ssList(sK6)
| app(X9,sK9) != sK9 ),
inference(superposition,[],[f350,f232]) ).
fof(f350,plain,
! [X3,X4] :
( app(X3,app(X4,sK10)) != sK9
| ~ ssList(X3)
| ~ ssList(X4)
| sK6 = app(X3,X4) ),
inference(subsumption_resolution,[],[f349,f203]) ).
fof(f203,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f349,plain,
! [X3,X4] :
( ~ ssList(app(X3,X4))
| sK6 = app(X3,X4)
| ~ ssList(X4)
| ~ ssList(X3)
| app(X3,app(X4,sK10)) != sK9 ),
inference(subsumption_resolution,[],[f346,f190]) ).
fof(f346,plain,
! [X3,X4] :
( ~ ssList(sK10)
| ~ ssList(X4)
| app(X3,app(X4,sK10)) != sK9
| sK6 = app(X3,X4)
| ~ ssList(app(X3,X4))
| ~ ssList(X3) ),
inference(superposition,[],[f281,f220]) ).
fof(f220,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
fof(f281,plain,
! [X1] :
( sK9 != app(X1,sK10)
| ~ ssList(X1)
| sK6 = X1 ),
inference(subsumption_resolution,[],[f280,f190]) ).
fof(f280,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(sK10)
| sK6 = X1
| sK9 != app(X1,sK10) ),
inference(subsumption_resolution,[],[f271,f233]) ).
fof(f271,plain,
! [X1] :
( sK6 = X1
| ~ ssList(sK6)
| ~ ssList(X1)
| sK9 != app(X1,sK10)
| ~ ssList(sK10) ),
inference(superposition,[],[f202,f232]) ).
fof(f202,plain,
! [X2,X0,X1] :
( app(X2,X1) != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X2)
| X0 = X2
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(X2,X1) != app(X0,X1)
| ~ ssList(X2)
| X0 = X2 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax79) ).
fof(f237,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f180]) ).
fof(f180,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,X1),X3) != X0
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 ) ) )
& ( ( ssList(sK4(X0,X1))
& ssList(sK5(X0,X1))
& app(app(sK4(X0,X1),X1),sK5(X0,X1)) = X0 )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f143,f145,f144]) ).
fof(f144,plain,
! [X0,X1] :
( ? [X4] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& app(app(X4,X1),X5) = X0 ) )
=> ( ssList(sK4(X0,X1))
& ? [X5] :
( ssList(X5)
& app(app(sK4(X0,X1),X1),X5) = X0 ) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
! [X0,X1] :
( ? [X5] :
( ssList(X5)
& app(app(sK4(X0,X1),X1),X5) = X0 )
=> ( ssList(sK5(X0,X1))
& app(app(sK4(X0,X1),X1),sK5(X0,X1)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
! [X0] :
( ~ ssList(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) ) ),
inference(rectify,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ~ ssList(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) ) ),
inference(nnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 ) ) )
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f7]) ).
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/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f343,plain,
( spl15_1
| spl15_4 ),
inference(avatar_contradiction_clause,[],[f342]) ).
fof(f342,plain,
( $false
| spl15_1
| spl15_4 ),
inference(subsumption_resolution,[],[f260,f339]) ).
fof(f339,plain,
( nil = sK6
| spl15_1 ),
inference(subsumption_resolution,[],[f338,f182]) ).
fof(f338,plain,
( nil = sK6
| ~ ssList(nil)
| spl15_1 ),
inference(subsumption_resolution,[],[f315,f233]) ).
fof(f315,plain,
( ~ ssList(sK6)
| ~ ssList(nil)
| nil = sK6
| spl15_1 ),
inference(resolution,[],[f247,f170]) ).
fof(f170,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f247,plain,
( ~ neq(sK6,nil)
| spl15_1 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f245,plain,
( spl15_1
<=> neq(sK6,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f260,plain,
( nil != sK6
| spl15_4 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f258,plain,
( spl15_4
<=> nil = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f322,plain,
( spl15_4
| ~ spl15_3 ),
inference(avatar_split_clause,[],[f321,f253,f258]) ).
fof(f253,plain,
( spl15_3
<=> nil = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f321,plain,
( nil != sK9
| nil = sK6 ),
inference(subsumption_resolution,[],[f296,f190]) ).
fof(f296,plain,
( nil = sK6
| ~ ssList(sK10)
| nil != sK9 ),
inference(subsumption_resolution,[],[f277,f233]) ).
fof(f277,plain,
( ~ ssList(sK6)
| nil = sK6
| nil != sK9
| ~ ssList(sK10) ),
inference(superposition,[],[f222,f232]) ).
fof(f222,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) )
& ( nil = app(X0,X1)
| nil != X1
| nil != X0 ) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) )
& ( nil = app(X0,X1)
| nil != X1
| nil != X0 ) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( nil = X1
& nil = X0 )
<=> nil = app(X0,X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( nil = X1
& nil = X0 )
<=> nil = app(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
fof(f320,plain,
( ~ spl15_3
| ~ spl15_5 ),
inference(avatar_contradiction_clause,[],[f319]) ).
fof(f319,plain,
( $false
| ~ spl15_3
| ~ spl15_5 ),
inference(subsumption_resolution,[],[f318,f182]) ).
fof(f318,plain,
( ~ ssList(nil)
| ~ spl15_3
| ~ spl15_5 ),
inference(resolution,[],[f314,f241]) ).
fof(f241,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f235]) ).
fof(f235,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f169]) ).
fof(f169,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f314,plain,
( neq(nil,nil)
| ~ spl15_3
| ~ spl15_5 ),
inference(forward_demodulation,[],[f266,f255]) ).
fof(f255,plain,
( nil = sK9
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f266,plain,
( neq(sK9,nil)
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl15_5
<=> neq(sK9,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f267,plain,
( ~ spl15_4
| spl15_5 ),
inference(avatar_split_clause,[],[f229,f264,f258]) ).
fof(f229,plain,
( neq(sK9,nil)
| nil != sK6 ),
inference(definition_unfolding,[],[f195,f192]) ).
fof(f195,plain,
( neq(sK7,nil)
| nil != sK6 ),
inference(cnf_transformation,[],[f153]) ).
fof(f261,plain,
( spl15_3
| ~ spl15_4 ),
inference(avatar_split_clause,[],[f225,f258,f253]) ).
fof(f225,plain,
( nil != sK6
| nil = sK9 ),
inference(definition_unfolding,[],[f199,f194]) ).
fof(f199,plain,
( nil = sK9
| nil != sK8 ),
inference(cnf_transformation,[],[f153]) ).
fof(f256,plain,
( ~ spl15_1
| ~ spl15_2
| spl15_3 ),
inference(avatar_split_clause,[],[f226,f253,f249,f245]) ).
fof(f226,plain,
( nil = sK9
| ~ segmentP(sK9,sK6)
| ~ neq(sK6,nil) ),
inference(definition_unfolding,[],[f198,f192,f192]) ).
fof(f198,plain,
( ~ neq(sK6,nil)
| ~ segmentP(sK7,sK6)
| nil = sK7 ),
inference(cnf_transformation,[],[f153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC110+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 18:00:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (25918)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (25918)Instruction limit reached!
% 0.19/0.50 % (25918)------------------------------
% 0.19/0.50 % (25918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (25918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (25918)Termination reason: Unknown
% 0.19/0.50 % (25918)Termination phase: shuffling
% 0.19/0.50
% 0.19/0.50 % (25918)Memory used [KB]: 1535
% 0.19/0.50 % (25918)Time elapsed: 0.003 s
% 0.19/0.50 % (25918)Instructions burned: 3 (million)
% 0.19/0.50 % (25918)------------------------------
% 0.19/0.50 % (25918)------------------------------
% 0.19/0.50 % (25910)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.50 % (25908)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (25909)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (25905)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (25926)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.52 % (25902)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.52 % (25901)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (25915)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (25903)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (25903)Instruction limit reached!
% 0.19/0.53 % (25903)------------------------------
% 0.19/0.53 % (25903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (25903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (25903)Termination reason: Unknown
% 0.19/0.53 % (25903)Termination phase: Naming
% 0.19/0.53
% 0.19/0.53 % (25903)Memory used [KB]: 1535
% 0.19/0.53 % (25903)Time elapsed: 0.002 s
% 0.19/0.53 % (25903)Instructions burned: 3 (million)
% 0.19/0.53 % (25903)------------------------------
% 0.19/0.53 % (25903)------------------------------
% 0.19/0.53 % (25929)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53 % (25928)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (25924)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.53 % (25929)Instruction limit reached!
% 0.19/0.53 % (25929)------------------------------
% 0.19/0.53 % (25929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (25929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (25929)Termination reason: Unknown
% 0.19/0.53 % (25929)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (25929)Memory used [KB]: 1791
% 0.19/0.53 % (25929)Time elapsed: 0.005 s
% 0.19/0.53 % (25929)Instructions burned: 9 (million)
% 0.19/0.53 % (25929)------------------------------
% 0.19/0.53 % (25929)------------------------------
% 0.19/0.53 % (25927)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (25930)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.53 % (25904)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (25923)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.53 % (25906)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.54 % (25919)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (25905)Instruction limit reached!
% 0.19/0.54 % (25905)------------------------------
% 0.19/0.54 % (25905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (25905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (25905)Termination reason: Unknown
% 0.19/0.54 % (25905)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (25905)Memory used [KB]: 6268
% 0.19/0.54 % (25905)Time elapsed: 0.129 s
% 0.19/0.54 % (25905)Instructions burned: 14 (million)
% 0.19/0.54 % (25905)------------------------------
% 0.19/0.54 % (25905)------------------------------
% 0.19/0.54 % (25919)Instruction limit reached!
% 0.19/0.54 % (25919)------------------------------
% 0.19/0.54 % (25919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (25919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (25919)Termination reason: Unknown
% 0.19/0.54 % (25919)Termination phase: Property scanning
% 0.19/0.54
% 0.19/0.54 % (25919)Memory used [KB]: 1535
% 0.19/0.54 % (25919)Time elapsed: 0.003 s
% 0.19/0.54 % (25919)Instructions burned: 4 (million)
% 0.19/0.54 % (25919)------------------------------
% 0.19/0.54 % (25919)------------------------------
% 0.19/0.54 % (25910)Instruction limit reached!
% 0.19/0.54 % (25910)------------------------------
% 0.19/0.54 % (25910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (25921)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.54 % (25910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (25910)Termination reason: Unknown
% 0.19/0.54 % (25910)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (25910)Memory used [KB]: 6524
% 0.19/0.54 % (25910)Time elapsed: 0.128 s
% 0.19/0.54 % (25910)Instructions burned: 33 (million)
% 0.19/0.54 % (25910)------------------------------
% 0.19/0.54 % (25910)------------------------------
% 0.19/0.54 % (25911)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.54 % (25925)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (25920)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.54 % (25907)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.54 % (25916)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (25922)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (25913)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.54 % (25916)Instruction limit reached!
% 0.19/0.54 % (25916)------------------------------
% 0.19/0.54 % (25916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (25916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (25916)Termination reason: Unknown
% 0.19/0.54 % (25916)Termination phase: Property scanning
% 0.19/0.54
% 0.19/0.54 % (25916)Memory used [KB]: 1791
% 0.19/0.54 % (25916)Time elapsed: 0.004 s
% 0.19/0.54 % (25916)Instructions burned: 7 (million)
% 0.19/0.54 % (25916)------------------------------
% 0.19/0.54 % (25916)------------------------------
% 0.19/0.55 % (25902)Instruction limit reached!
% 0.19/0.55 % (25902)------------------------------
% 0.19/0.55 % (25902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (25902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (25902)Termination reason: Unknown
% 0.19/0.55 % (25902)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (25902)Memory used [KB]: 6396
% 0.19/0.55 % (25902)Time elapsed: 0.141 s
% 0.19/0.55 % (25902)Instructions burned: 13 (million)
% 0.19/0.55 % (25902)------------------------------
% 0.19/0.55 % (25902)------------------------------
% 0.19/0.55 % (25917)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (25912)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55 % (25915)Instruction limit reached!
% 0.19/0.55 % (25915)------------------------------
% 0.19/0.55 % (25915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (25915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (25915)Termination reason: Unknown
% 0.19/0.55 % (25915)Termination phase: Preprocessing 3
% 0.19/0.55
% 0.19/0.55 % (25915)Memory used [KB]: 1663
% 0.19/0.55 % (25915)Time elapsed: 0.004 s
% 0.19/0.55 % (25915)Instructions burned: 4 (million)
% 0.19/0.55 % (25915)------------------------------
% 0.19/0.55 % (25915)------------------------------
% 0.19/0.55 % (25914)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56 % (25906)Instruction limit reached!
% 0.19/0.56 % (25906)------------------------------
% 0.19/0.56 % (25906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (25906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (25906)Termination reason: Unknown
% 0.19/0.56 % (25906)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (25906)Memory used [KB]: 1791
% 0.19/0.56 % (25906)Time elapsed: 0.137 s
% 0.19/0.56 % (25906)Instructions burned: 16 (million)
% 0.19/0.56 % (25906)------------------------------
% 0.19/0.56 % (25906)------------------------------
% 0.19/0.57 % (25911)Instruction limit reached!
% 0.19/0.57 % (25911)------------------------------
% 0.19/0.57 % (25911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (25911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (25911)Termination reason: Unknown
% 0.19/0.57 % (25911)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (25911)Memory used [KB]: 6268
% 0.19/0.57 % (25911)Time elapsed: 0.168 s
% 0.19/0.57 % (25911)Instructions burned: 12 (million)
% 0.19/0.57 % (25911)------------------------------
% 0.19/0.57 % (25911)------------------------------
% 0.19/0.57 % (25920)Instruction limit reached!
% 0.19/0.57 % (25920)------------------------------
% 0.19/0.57 % (25920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (25920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (25920)Termination reason: Unknown
% 0.19/0.57 % (25920)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (25920)Memory used [KB]: 6268
% 0.19/0.57 % (25920)Time elapsed: 0.168 s
% 0.19/0.57 % (25920)Instructions burned: 11 (million)
% 0.19/0.57 % (25920)------------------------------
% 0.19/0.57 % (25920)------------------------------
% 0.19/0.57 % (25912)Instruction limit reached!
% 0.19/0.57 % (25912)------------------------------
% 0.19/0.57 % (25912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (25912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (25912)Termination reason: Unknown
% 0.19/0.57 % (25912)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (25912)Memory used [KB]: 6140
% 0.19/0.57 % (25912)Time elapsed: 0.146 s
% 0.19/0.57 % (25912)Instructions burned: 7 (million)
% 0.19/0.57 % (25912)------------------------------
% 0.19/0.57 % (25912)------------------------------
% 0.19/0.57 % (25913)Instruction limit reached!
% 0.19/0.57 % (25913)------------------------------
% 0.19/0.57 % (25913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (25913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (25913)Termination reason: Unknown
% 0.19/0.57 % (25913)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (25913)Memory used [KB]: 2046
% 0.19/0.57 % (25913)Time elapsed: 0.150 s
% 0.19/0.57 % (25913)Instructions burned: 17 (million)
% 0.19/0.57 % (25913)------------------------------
% 0.19/0.57 % (25913)------------------------------
% 0.19/0.57 % (25928)Instruction limit reached!
% 0.19/0.57 % (25928)------------------------------
% 0.19/0.57 % (25928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (25930)Instruction limit reached!
% 0.19/0.58 % (25930)------------------------------
% 0.19/0.58 % (25930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (25908)Refutation not found, non-redundant clauses discarded% (25908)------------------------------
% 0.19/0.58 % (25908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (25928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (25928)Termination reason: Unknown
% 0.19/0.59 % (25928)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (25928)Memory used [KB]: 6652
% 0.19/0.59 % (25928)Time elapsed: 0.162 s
% 0.19/0.59 % (25928)Instructions burned: 25 (million)
% 0.19/0.59 % (25928)------------------------------
% 0.19/0.59 % (25928)------------------------------
% 0.19/0.59 % (25921)Instruction limit reached!
% 0.19/0.59 % (25921)------------------------------
% 0.19/0.59 % (25921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (25921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (25921)Termination reason: Unknown
% 0.19/0.59 % (25921)Termination phase: Saturation
% 0.19/0.59
% 0.19/0.59 % (25921)Memory used [KB]: 6524
% 0.19/0.59 % (25921)Time elapsed: 0.178 s
% 0.19/0.59 % (25921)Instructions burned: 30 (million)
% 0.19/0.59 % (25921)------------------------------
% 0.19/0.59 % (25921)------------------------------
% 0.19/0.60 % (25907)Instruction limit reached!
% 0.19/0.60 % (25907)------------------------------
% 0.19/0.60 % (25907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (25904)Instruction limit reached!
% 0.19/0.60 % (25904)------------------------------
% 0.19/0.60 % (25904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (25930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (25930)Termination reason: Unknown
% 0.19/0.60 % (25930)Termination phase: Saturation
% 0.19/0.60
% 0.19/0.60 % (25930)Memory used [KB]: 6396
% 0.19/0.60 % (25930)Time elapsed: 0.164 s
% 0.19/0.60 % (25930)Instructions burned: 25 (million)
% 0.19/0.60 % (25930)------------------------------
% 0.19/0.60 % (25930)------------------------------
% 0.19/0.60 % (25908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (25908)Termination reason: Refutation not found, non-redundant clauses discarded
% 0.19/0.60
% 0.19/0.60 % (25908)Memory used [KB]: 6524
% 0.19/0.60 % (25908)Time elapsed: 0.171 s
% 0.19/0.60 % (25908)Instructions burned: 37 (million)
% 0.19/0.60 % (25908)------------------------------
% 0.19/0.60 % (25908)------------------------------
% 0.19/0.61 % (25924)Instruction limit reached!
% 0.19/0.61 % (25924)------------------------------
% 0.19/0.61 % (25924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.61 % (25909)Instruction limit reached!
% 1.93/0.61 % (25909)------------------------------
% 1.93/0.61 % (25909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.61 % (25904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.61 % (25904)Termination reason: Unknown
% 1.93/0.61 % (25904)Termination phase: Saturation
% 1.93/0.61
% 1.93/0.61 % (25904)Memory used [KB]: 6780
% 1.93/0.61 % (25904)Time elapsed: 0.182 s
% 1.93/0.61 % (25904)Instructions burned: 53 (million)
% 1.93/0.61 % (25904)------------------------------
% 1.93/0.61 % (25904)------------------------------
% 1.93/0.62 % (25931)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.93/0.62 % (25909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.62 % (25909)Termination reason: Unknown
% 1.93/0.62 % (25909)Termination phase: Saturation
% 1.93/0.62
% 1.93/0.62 % (25909)Memory used [KB]: 6780
% 1.93/0.62 % (25909)Time elapsed: 0.201 s
% 1.93/0.62 % (25909)Instructions burned: 51 (million)
% 1.93/0.62 % (25909)------------------------------
% 1.93/0.62 % (25909)------------------------------
% 1.93/0.62 % (25907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.62 % (25907)Termination reason: Unknown
% 1.93/0.62 % (25907)Termination phase: Saturation
% 1.93/0.62
% 1.93/0.62 % (25907)Memory used [KB]: 6524
% 1.93/0.62 % (25907)Time elapsed: 0.149 s
% 1.93/0.62 % (25907)Instructions burned: 40 (million)
% 1.93/0.62 % (25907)------------------------------
% 1.93/0.62 % (25907)------------------------------
% 1.93/0.62 % (25914)Instruction limit reached!
% 1.93/0.62 % (25914)------------------------------
% 1.93/0.62 % (25914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.62 % (25914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.62 % (25914)Termination reason: Unknown
% 1.93/0.62 % (25914)Termination phase: Saturation
% 1.93/0.62
% 1.93/0.62 % (25914)Memory used [KB]: 7164
% 1.93/0.62 % (25914)Time elapsed: 0.221 s
% 1.93/0.62 % (25914)Instructions burned: 51 (million)
% 1.93/0.62 % (25914)------------------------------
% 1.93/0.62 % (25914)------------------------------
% 1.93/0.62 % (25924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.62 % (25924)Termination reason: Unknown
% 1.93/0.62 % (25924)Termination phase: Saturation
% 1.93/0.62
% 1.93/0.62 % (25924)Memory used [KB]: 2174
% 1.93/0.62 % (25924)Time elapsed: 0.176 s
% 1.93/0.62 % (25924)Instructions burned: 46 (million)
% 1.93/0.62 % (25924)------------------------------
% 1.93/0.62 % (25924)------------------------------
% 1.93/0.63 % (25925)Instruction limit reached!
% 1.93/0.63 % (25925)------------------------------
% 1.93/0.63 % (25925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.63 % (25917)Instruction limit reached!
% 1.93/0.63 % (25917)------------------------------
% 1.93/0.63 % (25917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.63 % (25917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.63 % (25917)Termination reason: Unknown
% 1.93/0.63 % (25917)Termination phase: Saturation
% 1.93/0.63
% 1.93/0.63 % (25917)Memory used [KB]: 6908
% 1.93/0.63 % (25917)Time elapsed: 0.213 s
% 1.93/0.63 % (25917)Instructions burned: 51 (million)
% 1.93/0.63 % (25917)------------------------------
% 1.93/0.63 % (25917)------------------------------
% 2.30/0.65 % (25925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.65 % (25925)Termination reason: Unknown
% 2.30/0.65 % (25925)Termination phase: Saturation
% 2.30/0.65
% 2.30/0.65 % (25925)Memory used [KB]: 6908
% 2.30/0.65 % (25925)Time elapsed: 0.211 s
% 2.30/0.65 % (25925)Instructions burned: 50 (million)
% 2.30/0.65 % (25925)------------------------------
% 2.30/0.65 % (25925)------------------------------
% 2.30/0.65 % (25923)Instruction limit reached!
% 2.30/0.65 % (25923)------------------------------
% 2.30/0.65 % (25923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.65 % (25923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.65 % (25923)Termination reason: Unknown
% 2.30/0.65 % (25923)Termination phase: Saturation
% 2.30/0.65
% 2.30/0.65 % (25923)Memory used [KB]: 8187
% 2.30/0.65 % (25923)Time elapsed: 0.215 s
% 2.30/0.65 % (25923)Instructions burned: 82 (million)
% 2.30/0.65 % (25923)------------------------------
% 2.30/0.65 % (25923)------------------------------
% 2.30/0.66 % (25932)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.30/0.66 % (25933)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.30/0.66 % (25939)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 2.30/0.66 % (25934)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.30/0.66 % (25938)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.30/0.67 % (25935)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.30/0.68 % (25936)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.30/0.68 % (25932)Instruction limit reached!
% 2.30/0.68 % (25932)------------------------------
% 2.30/0.68 % (25932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.68 % (25932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.68 % (25932)Termination reason: Unknown
% 2.30/0.68 % (25932)Termination phase: Saturation
% 2.30/0.68
% 2.30/0.68 % (25932)Memory used [KB]: 10746
% 2.30/0.68 % (25932)Time elapsed: 0.118 s
% 2.30/0.68 % (25932)Instructions burned: 7 (million)
% 2.30/0.68 % (25932)------------------------------
% 2.30/0.68 % (25932)------------------------------
% 2.30/0.68 % (25927)Instruction limit reached!
% 2.30/0.68 % (25927)------------------------------
% 2.30/0.68 % (25927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.68 % (25927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.68 % (25927)Termination reason: Unknown
% 2.30/0.68 % (25927)Termination phase: Saturation
% 2.30/0.68
% 2.30/0.68 % (25927)Memory used [KB]: 7036
% 2.30/0.68 % (25927)Time elapsed: 0.242 s
% 2.30/0.68 % (25927)Instructions burned: 99 (million)
% 2.30/0.68 % (25927)------------------------------
% 2.30/0.68 % (25927)------------------------------
% 2.30/0.69 % (25939)Refutation not found, incomplete strategy% (25939)------------------------------
% 2.30/0.69 % (25939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.69 % (25939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.69 % (25939)Termination reason: Refutation not found, incomplete strategy
% 2.30/0.69
% 2.30/0.69 % (25939)Memory used [KB]: 6524
% 2.30/0.69 % (25939)Time elapsed: 0.111 s
% 2.30/0.69 % (25939)Instructions burned: 16 (million)
% 2.30/0.69 % (25939)------------------------------
% 2.30/0.69 % (25939)------------------------------
% 2.30/0.69 % (25940)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.30/0.69 % (25926)Instruction limit reached!
% 2.30/0.69 % (25926)------------------------------
% 2.30/0.69 % (25926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.69 % (25926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.69 % (25926)Termination reason: Unknown
% 2.30/0.69 % (25926)Termination phase: Saturation
% 2.30/0.69
% 2.30/0.69 % (25926)Memory used [KB]: 7419
% 2.30/0.69 % (25926)Time elapsed: 0.270 s
% 2.30/0.69 % (25926)Instructions burned: 95 (million)
% 2.30/0.69 % (25926)------------------------------
% 2.30/0.69 % (25926)------------------------------
% 2.30/0.69 % (25937)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.30/0.69 % (25941)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.30/0.70 % (25943)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.30/0.70 % (25942)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.30/0.70 % (25944)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.62/0.71 % (25931)First to succeed.
% 2.62/0.72 % (25945)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.62/0.72 % (25946)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.62/0.73 % (25931)Refutation found. Thanks to Tanya!
% 2.62/0.73 % SZS status Theorem for theBenchmark
% 2.62/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 2.62/0.73 % (25931)------------------------------
% 2.62/0.73 % (25931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.73 % (25931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.73 % (25931)Termination reason: Refutation
% 2.62/0.73
% 2.62/0.73 % (25931)Memory used [KB]: 6524
% 2.62/0.73 % (25931)Time elapsed: 0.102 s
% 2.62/0.73 % (25931)Instructions burned: 52 (million)
% 2.62/0.73 % (25931)------------------------------
% 2.62/0.73 % (25931)------------------------------
% 2.62/0.73 % (25900)Success in time 0.362 s
%------------------------------------------------------------------------------