TSTP Solution File: SWC346+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC346+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n003.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 May 1 04:01:37 EDT 2024
% Result : Theorem 0.79s 0.81s
% Output : Refutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 24
% Syntax : Number of formulae : 103 ( 10 unt; 0 def)
% Number of atoms : 565 ( 127 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 710 ( 248 ~; 233 |; 186 &)
% ( 14 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 9 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 173 ( 110 !; 63 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1308,plain,
$false,
inference(avatar_sat_refutation,[],[f376,f385,f390,f419,f432,f659,f664,f1167,f1301,f1307]) ).
fof(f1307,plain,
( ~ spl28_3
| spl28_10 ),
inference(avatar_contradiction_clause,[],[f1306]) ).
fof(f1306,plain,
( $false
| ~ spl28_3
| spl28_10 ),
inference(subsumption_resolution,[],[f1305,f380]) ).
fof(f380,plain,
( sP0(sK7,sK6)
| ~ spl28_3 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f378,plain,
( spl28_3
<=> sP0(sK7,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_3])]) ).
fof(f1305,plain,
( ~ sP0(sK7,sK6)
| spl28_10 ),
inference(resolution,[],[f604,f237]) ).
fof(f237,plain,
! [X0,X1] :
( ssList(sK3(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1] :
( ( ! [X5] :
( ~ lt(X5,sK1(X0,X1))
| ~ memberP(sK3(X0,X1),X5)
| ~ ssItem(X5) )
& ! [X6] :
( ~ lt(sK1(X0,X1),X6)
| ~ memberP(sK2(X0,X1),X6)
| ~ ssItem(X6) )
& app(app(sK2(X0,X1),X1),sK3(X0,X1)) = X0
& cons(sK1(X0,X1),nil) = X1
& ssList(sK3(X0,X1))
& ssList(sK2(X0,X1))
& ssItem(sK1(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f176,f179,f178,f177]) ).
fof(f177,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ lt(X5,X2)
| ~ memberP(X4,X5)
| ~ ssItem(X5) )
& ! [X6] :
( ~ lt(X2,X6)
| ~ memberP(X3,X6)
| ~ ssItem(X6) )
& app(app(X3,X1),X4) = X0
& cons(X2,nil) = X1
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ lt(X5,sK1(X0,X1))
| ~ memberP(X4,X5)
| ~ ssItem(X5) )
& ! [X6] :
( ~ lt(sK1(X0,X1),X6)
| ~ memberP(X3,X6)
| ~ ssItem(X6) )
& app(app(X3,X1),X4) = X0
& cons(sK1(X0,X1),nil) = X1
& ssList(X4) )
& ssList(X3) )
& ssItem(sK1(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f178,plain,
! [X0,X1] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ lt(X5,sK1(X0,X1))
| ~ memberP(X4,X5)
| ~ ssItem(X5) )
& ! [X6] :
( ~ lt(sK1(X0,X1),X6)
| ~ memberP(X3,X6)
| ~ ssItem(X6) )
& app(app(X3,X1),X4) = X0
& cons(sK1(X0,X1),nil) = X1
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ! [X5] :
( ~ lt(X5,sK1(X0,X1))
| ~ memberP(X4,X5)
| ~ ssItem(X5) )
& ! [X6] :
( ~ lt(sK1(X0,X1),X6)
| ~ memberP(sK2(X0,X1),X6)
| ~ ssItem(X6) )
& app(app(sK2(X0,X1),X1),X4) = X0
& cons(sK1(X0,X1),nil) = X1
& ssList(X4) )
& ssList(sK2(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f179,plain,
! [X0,X1] :
( ? [X4] :
( ! [X5] :
( ~ lt(X5,sK1(X0,X1))
| ~ memberP(X4,X5)
| ~ ssItem(X5) )
& ! [X6] :
( ~ lt(sK1(X0,X1),X6)
| ~ memberP(sK2(X0,X1),X6)
| ~ ssItem(X6) )
& app(app(sK2(X0,X1),X1),X4) = X0
& cons(sK1(X0,X1),nil) = X1
& ssList(X4) )
=> ( ! [X5] :
( ~ lt(X5,sK1(X0,X1))
| ~ memberP(sK3(X0,X1),X5)
| ~ ssItem(X5) )
& ! [X6] :
( ~ lt(sK1(X0,X1),X6)
| ~ memberP(sK2(X0,X1),X6)
| ~ ssItem(X6) )
& app(app(sK2(X0,X1),X1),sK3(X0,X1)) = X0
& cons(sK1(X0,X1),nil) = X1
& ssList(sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ! [X5] :
( ~ lt(X5,X2)
| ~ memberP(X4,X5)
| ~ ssItem(X5) )
& ! [X6] :
( ~ lt(X2,X6)
| ~ memberP(X3,X6)
| ~ ssItem(X6) )
& app(app(X3,X1),X4) = X0
& cons(X2,nil) = X1
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f175]) ).
fof(f175,plain,
! [X3,X2] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ lt(X7,X4)
| ~ memberP(X6,X7)
| ~ ssItem(X7) )
& ! [X8] :
( ~ lt(X4,X8)
| ~ memberP(X5,X8)
| ~ ssItem(X8) )
& app(app(X5,X2),X6) = X3
& cons(X4,nil) = X2
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| ~ sP0(X3,X2) ),
inference(nnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X3,X2] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ lt(X7,X4)
| ~ memberP(X6,X7)
| ~ ssItem(X7) )
& ! [X8] :
( ~ lt(X4,X8)
| ~ memberP(X5,X8)
| ~ ssItem(X8) )
& app(app(X5,X2),X6) = X3
& cons(X4,nil) = X2
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| ~ sP0(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f604,plain,
( ~ ssList(sK3(sK7,sK6))
| spl28_10 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f602,plain,
( spl28_10
<=> ssList(sK3(sK7,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_10])]) ).
fof(f1301,plain,
( ~ spl28_10
| spl28_1
| ~ spl28_3
| ~ spl28_14 ),
inference(avatar_split_clause,[],[f1300,f1119,f378,f369,f602]) ).
fof(f369,plain,
( spl28_1
<=> segmentP(sK7,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1])]) ).
fof(f1119,plain,
( spl28_14
<=> ssList(sK2(sK7,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_14])]) ).
fof(f1300,plain,
( ~ ssList(sK3(sK7,sK6))
| spl28_1
| ~ spl28_3
| ~ spl28_14 ),
inference(subsumption_resolution,[],[f1299,f371]) ).
fof(f371,plain,
( ~ segmentP(sK7,sK6)
| spl28_1 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f1299,plain,
( ~ ssList(sK3(sK7,sK6))
| segmentP(sK7,sK6)
| ~ spl28_3
| ~ spl28_14 ),
inference(subsumption_resolution,[],[f1298,f244]) ).
fof(f244,plain,
ssList(sK6),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
( ( ~ strictorderedP(sK4)
| ~ segmentP(sK5,sK4) )
& ( ( nil = sK6
& nil = sK7 )
| sP0(sK7,sK6) )
& sK4 = sK6
& sK5 = sK7
& ssList(sK7)
& ssList(sK6)
& ssList(sK5)
& ssList(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f174,f184,f183,f182,f181]) ).
fof(f181,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ strictorderedP(X0)
| ~ segmentP(X1,X0) )
& ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ strictorderedP(sK4)
| ~ segmentP(X1,sK4) )
& ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& sK4 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ strictorderedP(sK4)
| ~ segmentP(X1,sK4) )
& ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& sK4 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ~ strictorderedP(sK4)
| ~ segmentP(sK5,sK4) )
& ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& sK4 = X2
& sK5 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
( ? [X2] :
( ? [X3] :
( ( ~ strictorderedP(sK4)
| ~ segmentP(sK5,sK4) )
& ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& sK4 = X2
& sK5 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ~ strictorderedP(sK4)
| ~ segmentP(sK5,sK4) )
& ( ( nil = sK6
& nil = X3 )
| sP0(X3,sK6) )
& sK4 = sK6
& sK5 = X3
& ssList(X3) )
& ssList(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
( ? [X3] :
( ( ~ strictorderedP(sK4)
| ~ segmentP(sK5,sK4) )
& ( ( nil = sK6
& nil = X3 )
| sP0(X3,sK6) )
& sK4 = sK6
& sK5 = X3
& ssList(X3) )
=> ( ( ~ strictorderedP(sK4)
| ~ segmentP(sK5,sK4) )
& ( ( nil = sK6
& nil = sK7 )
| sP0(sK7,sK6) )
& sK4 = sK6
& sK5 = sK7
& ssList(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ strictorderedP(X0)
| ~ segmentP(X1,X0) )
& ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(definition_folding,[],[f99,f173]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ strictorderedP(X0)
| ~ segmentP(X1,X0) )
& ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ~ lt(X7,X4)
| ~ memberP(X6,X7)
| ~ ssItem(X7) )
& ! [X8] :
( ~ lt(X4,X8)
| ~ memberP(X5,X8)
| ~ ssItem(X8) )
& app(app(X5,X2),X6) = X3
& cons(X4,nil) = X2
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( strictorderedP(X0)
& segmentP(X1,X0) )
| ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ? [X7] :
( lt(X7,X4)
& memberP(X6,X7)
& ssItem(X7) )
| ? [X8] :
( lt(X4,X8)
& memberP(X5,X8)
& ssItem(X8) )
| app(app(X5,X2),X6) != X3
| cons(X4,nil) != X2
| ~ ssList(X6) ) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( strictorderedP(X0)
& segmentP(X1,X0) )
| ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ? [X8] :
( lt(X8,X4)
& memberP(X6,X8)
& ssItem(X8) )
| ? [X7] :
( lt(X4,X7)
& memberP(X5,X7)
& ssItem(X7) )
| app(app(X5,X2),X6) != X3
| cons(X4,nil) != X2
| ~ ssList(X6) ) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( strictorderedP(X0)
& segmentP(X1,X0) )
| ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ? [X8] :
( lt(X8,X4)
& memberP(X6,X8)
& ssItem(X8) )
| ? [X7] :
( lt(X4,X7)
& memberP(X5,X7)
& ssItem(X7) )
| app(app(X5,X2),X6) != X3
| cons(X4,nil) != X2
| ~ ssList(X6) ) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.X3yxVnW4Ya/Vampire---4.8_30624',co1) ).
fof(f1298,plain,
( ~ ssList(sK3(sK7,sK6))
| ~ ssList(sK6)
| segmentP(sK7,sK6)
| ~ spl28_3
| ~ spl28_14 ),
inference(subsumption_resolution,[],[f1230,f1120]) ).
fof(f1120,plain,
( ssList(sK2(sK7,sK6))
| ~ spl28_14 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f1230,plain,
( ~ ssList(sK3(sK7,sK6))
| ~ ssList(sK2(sK7,sK6))
| ~ ssList(sK6)
| segmentP(sK7,sK6)
| ~ spl28_3 ),
inference(subsumption_resolution,[],[f1212,f245]) ).
fof(f245,plain,
ssList(sK7),
inference(cnf_transformation,[],[f185]) ).
fof(f1212,plain,
( ~ ssList(sK7)
| ~ ssList(sK3(sK7,sK6))
| ~ ssList(sK2(sK7,sK6))
| ~ ssList(sK6)
| segmentP(sK7,sK6)
| ~ spl28_3 ),
inference(superposition,[],[f357,f893]) ).
fof(f893,plain,
( sK7 = app(app(sK2(sK7,sK6),sK6),sK3(sK7,sK6))
| ~ spl28_3 ),
inference(resolution,[],[f380,f239]) ).
fof(f239,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| app(app(sK2(X0,X1),X1),sK3(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f180]) ).
fof(f357,plain,
! [X2,X3,X1] :
( ~ ssList(app(app(X2,X1),X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| segmentP(app(app(X2,X1),X3),X1) ),
inference(equality_resolution,[],[f295]) ).
fof(f295,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(app(sK14(X0,X1),X1),sK15(X0,X1)) = X0
& ssList(sK15(X0,X1))
& ssList(sK14(X0,X1)) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f205,f207,f206]) ).
fof(f206,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(app(sK14(X0,X1),X1),X5) = X0
& ssList(X5) )
& ssList(sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f207,plain,
! [X0,X1] :
( ? [X5] :
( app(app(sK14(X0,X1),X1),X5) = X0
& ssList(X5) )
=> ( app(app(sK14(X0,X1),X1),sK15(X0,X1)) = X0
& ssList(sK15(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.X3yxVnW4Ya/Vampire---4.8_30624',ax7) ).
fof(f1167,plain,
( ~ spl28_3
| spl28_14 ),
inference(avatar_contradiction_clause,[],[f1166]) ).
fof(f1166,plain,
( $false
| ~ spl28_3
| spl28_14 ),
inference(subsumption_resolution,[],[f1165,f380]) ).
fof(f1165,plain,
( ~ sP0(sK7,sK6)
| spl28_14 ),
inference(resolution,[],[f1121,f236]) ).
fof(f236,plain,
! [X0,X1] :
( ssList(sK2(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f180]) ).
fof(f1121,plain,
( ~ ssList(sK2(sK7,sK6))
| spl28_14 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f664,plain,
( spl28_2
| ~ spl28_4 ),
inference(avatar_contradiction_clause,[],[f663]) ).
fof(f663,plain,
( $false
| spl28_2
| ~ spl28_4 ),
inference(subsumption_resolution,[],[f662,f309]) ).
fof(f309,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/tmp/tmp.X3yxVnW4Ya/Vampire---4.8_30624',ax69) ).
fof(f662,plain,
( ~ strictorderedP(nil)
| spl28_2
| ~ spl28_4 ),
inference(forward_demodulation,[],[f375,f384]) ).
fof(f384,plain,
( nil = sK6
| ~ spl28_4 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f382,plain,
( spl28_4
<=> nil = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_4])]) ).
fof(f375,plain,
( ~ strictorderedP(sK6)
| spl28_2 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f373,plain,
( spl28_2
<=> strictorderedP(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_2])]) ).
fof(f659,plain,
( spl28_1
| ~ spl28_4
| ~ spl28_5 ),
inference(avatar_contradiction_clause,[],[f658]) ).
fof(f658,plain,
( $false
| spl28_1
| ~ spl28_4
| ~ spl28_5 ),
inference(subsumption_resolution,[],[f653,f391]) ).
fof(f391,plain,
segmentP(nil,nil),
inference(subsumption_resolution,[],[f356,f273]) ).
fof(f273,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.X3yxVnW4Ya/Vampire---4.8_30624',ax17) ).
fof(f356,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f286]) ).
fof(f286,plain,
! [X0] :
( segmentP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0] :
( ( ( segmentP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ segmentP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.X3yxVnW4Ya/Vampire---4.8_30624',ax58) ).
fof(f653,plain,
( ~ segmentP(nil,nil)
| spl28_1
| ~ spl28_4
| ~ spl28_5 ),
inference(backward_demodulation,[],[f645,f384]) ).
fof(f645,plain,
( ~ segmentP(nil,sK6)
| spl28_1
| ~ spl28_5 ),
inference(backward_demodulation,[],[f371,f389]) ).
fof(f389,plain,
( nil = sK7
| ~ spl28_5 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f387,plain,
( spl28_5
<=> nil = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_5])]) ).
fof(f432,plain,
( ~ spl28_3
| spl28_6 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f431,plain,
( $false
| ~ spl28_3
| spl28_6 ),
inference(subsumption_resolution,[],[f430,f380]) ).
fof(f430,plain,
( ~ sP0(sK7,sK6)
| spl28_6 ),
inference(resolution,[],[f413,f235]) ).
fof(f235,plain,
! [X0,X1] :
( ssItem(sK1(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f180]) ).
fof(f413,plain,
( ~ ssItem(sK1(sK7,sK6))
| spl28_6 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f411,plain,
( spl28_6
<=> ssItem(sK1(sK7,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_6])]) ).
fof(f419,plain,
( ~ spl28_6
| spl28_2
| ~ spl28_3 ),
inference(avatar_split_clause,[],[f405,f378,f373,f411]) ).
fof(f405,plain,
( strictorderedP(sK6)
| ~ ssItem(sK1(sK7,sK6))
| ~ spl28_3 ),
inference(superposition,[],[f392,f403]) ).
fof(f403,plain,
( sK6 = cons(sK1(sK7,sK6),nil)
| ~ spl28_3 ),
inference(resolution,[],[f238,f380]) ).
fof(f238,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| cons(sK1(X0,X1),nil) = X1 ),
inference(cnf_transformation,[],[f180]) ).
fof(f392,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f359,f273]) ).
fof(f359,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f307]) ).
fof(f307,plain,
! [X0,X1] :
( strictorderedP(cons(X0,X1))
| nil != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ! [X1] :
( ( ( strictorderedP(cons(X0,X1))
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ! [X1] :
( ( ( strictorderedP(cons(X0,X1))
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.X3yxVnW4Ya/Vampire---4.8_30624',ax70) ).
fof(f390,plain,
( spl28_3
| spl28_5 ),
inference(avatar_split_clause,[],[f248,f387,f378]) ).
fof(f248,plain,
( nil = sK7
| sP0(sK7,sK6) ),
inference(cnf_transformation,[],[f185]) ).
fof(f385,plain,
( spl28_3
| spl28_4 ),
inference(avatar_split_clause,[],[f249,f382,f378]) ).
fof(f249,plain,
( nil = sK6
| sP0(sK7,sK6) ),
inference(cnf_transformation,[],[f185]) ).
fof(f376,plain,
( ~ spl28_1
| ~ spl28_2 ),
inference(avatar_split_clause,[],[f349,f373,f369]) ).
fof(f349,plain,
( ~ strictorderedP(sK6)
| ~ segmentP(sK7,sK6) ),
inference(definition_unfolding,[],[f250,f247,f246,f247]) ).
fof(f246,plain,
sK5 = sK7,
inference(cnf_transformation,[],[f185]) ).
fof(f247,plain,
sK4 = sK6,
inference(cnf_transformation,[],[f185]) ).
fof(f250,plain,
( ~ strictorderedP(sK4)
| ~ segmentP(sK5,sK4) ),
inference(cnf_transformation,[],[f185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC346+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 18:24:04 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.X3yxVnW4Ya/Vampire---4.8_30624
% 0.62/0.76 % (30885)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.62/0.76 % (30879)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.62/0.76 % (30881)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.62/0.76 % (30880)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.62/0.76 % (30882)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.62/0.76 % (30883)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.62/0.76 % (30884)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.62/0.77 % (30886)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.62/0.78 % (30883)Instruction limit reached!
% 0.62/0.78 % (30883)------------------------------
% 0.62/0.78 % (30883)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78 % (30883)Termination reason: Unknown
% 0.62/0.78 % (30883)Termination phase: Saturation
% 0.62/0.78
% 0.62/0.78 % (30883)Memory used [KB]: 1692
% 0.62/0.78 % (30883)Time elapsed: 0.018 s
% 0.62/0.78 % (30883)Instructions burned: 34 (million)
% 0.62/0.78 % (30883)------------------------------
% 0.62/0.78 % (30883)------------------------------
% 0.62/0.78 % (30882)Instruction limit reached!
% 0.62/0.78 % (30882)------------------------------
% 0.62/0.78 % (30882)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78 % (30882)Termination reason: Unknown
% 0.62/0.78 % (30882)Termination phase: Saturation
% 0.62/0.78
% 0.62/0.78 % (30882)Memory used [KB]: 1662
% 0.62/0.78 % (30882)Time elapsed: 0.020 s
% 0.62/0.78 % (30882)Instructions burned: 34 (million)
% 0.62/0.78 % (30882)------------------------------
% 0.62/0.78 % (30882)------------------------------
% 0.62/0.78 % (30879)Instruction limit reached!
% 0.62/0.78 % (30879)------------------------------
% 0.62/0.78 % (30879)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78 % (30879)Termination reason: Unknown
% 0.62/0.78 % (30879)Termination phase: Saturation
% 0.62/0.78
% 0.62/0.78 % (30879)Memory used [KB]: 1533
% 0.62/0.78 % (30879)Time elapsed: 0.021 s
% 0.62/0.78 % (30879)Instructions burned: 34 (million)
% 0.62/0.78 % (30879)------------------------------
% 0.62/0.78 % (30879)------------------------------
% 0.62/0.78 % (30884)Instruction limit reached!
% 0.62/0.78 % (30884)------------------------------
% 0.62/0.78 % (30884)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78 % (30884)Termination reason: Unknown
% 0.62/0.78 % (30884)Termination phase: Saturation
% 0.62/0.78
% 0.62/0.78 % (30884)Memory used [KB]: 1492
% 0.62/0.78 % (30884)Time elapsed: 0.022 s
% 0.62/0.78 % (30884)Instructions burned: 46 (million)
% 0.62/0.78 % (30884)------------------------------
% 0.62/0.78 % (30884)------------------------------
% 0.62/0.79 % (30887)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.62/0.79 % (30885)Instruction limit reached!
% 0.62/0.79 % (30885)------------------------------
% 0.62/0.79 % (30885)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79 % (30885)Termination reason: Unknown
% 0.62/0.79 % (30885)Termination phase: Saturation
% 0.62/0.79
% 0.62/0.79 % (30885)Memory used [KB]: 2081
% 0.62/0.79 % (30885)Time elapsed: 0.025 s
% 0.62/0.79 % (30885)Instructions burned: 85 (million)
% 0.62/0.79 % (30885)------------------------------
% 0.62/0.79 % (30885)------------------------------
% 0.62/0.79 % (30888)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.62/0.79 % (30890)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.62/0.79 % (30891)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.62/0.79 % (30889)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.62/0.80 % (30880)Instruction limit reached!
% 0.62/0.80 % (30880)------------------------------
% 0.62/0.80 % (30880)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (30880)Termination reason: Unknown
% 0.62/0.80 % (30880)Termination phase: Saturation
% 0.62/0.80
% 0.62/0.80 % (30880)Memory used [KB]: 1987
% 0.62/0.80 % (30880)Time elapsed: 0.034 s
% 0.62/0.80 % (30880)Instructions burned: 51 (million)
% 0.62/0.80 % (30880)------------------------------
% 0.62/0.80 % (30880)------------------------------
% 0.62/0.80 % (30886)Instruction limit reached!
% 0.62/0.80 % (30886)------------------------------
% 0.62/0.80 % (30886)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (30886)Termination reason: Unknown
% 0.62/0.80 % (30886)Termination phase: Saturation
% 0.62/0.80
% 0.62/0.80 % (30886)Memory used [KB]: 1670
% 0.62/0.80 % (30886)Time elapsed: 0.030 s
% 0.62/0.80 % (30886)Instructions burned: 56 (million)
% 0.62/0.80 % (30886)------------------------------
% 0.62/0.80 % (30886)------------------------------
% 0.62/0.80 % (30892)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.62/0.80 % (30893)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.79/0.81 % (30881)First to succeed.
% 0.79/0.81 % (30888)Instruction limit reached!
% 0.79/0.81 % (30888)------------------------------
% 0.79/0.81 % (30888)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.79/0.81 % (30888)Termination reason: Unknown
% 0.79/0.81 % (30888)Termination phase: Saturation
% 0.79/0.81
% 0.79/0.81 % (30888)Memory used [KB]: 1898
% 0.79/0.81 % (30888)Time elapsed: 0.026 s
% 0.79/0.81 % (30888)Instructions burned: 50 (million)
% 0.79/0.81 % (30888)------------------------------
% 0.79/0.81 % (30888)------------------------------
% 0.79/0.81 % (30881)Refutation found. Thanks to Tanya!
% 0.79/0.81 % SZS status Theorem for Vampire---4
% 0.79/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.79/0.81 % (30881)------------------------------
% 0.79/0.81 % (30881)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.79/0.81 % (30881)Termination reason: Refutation
% 0.79/0.81
% 0.79/0.81 % (30881)Memory used [KB]: 1686
% 0.79/0.81 % (30881)Time elapsed: 0.059 s
% 0.79/0.81 % (30881)Instructions burned: 60 (million)
% 0.79/0.81 % (30881)------------------------------
% 0.79/0.81 % (30881)------------------------------
% 0.79/0.81 % (30875)Success in time 0.449 s
% 0.79/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------