TSTP Solution File: SWC284+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC284+1 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n006.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 : Tue May 21 04:37:47 EDT 2024
% Result : Theorem 0.73s 0.91s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 38
% Syntax : Number of formulae : 187 ( 13 unt; 0 def)
% Number of atoms : 964 ( 179 equ)
% Maximal formula atoms : 42 ( 5 avg)
% Number of connectives : 1241 ( 464 ~; 455 |; 247 &)
% ( 25 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 16 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 247 ( 153 !; 94 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1218,plain,
$false,
inference(avatar_sat_refutation,[],[f244,f249,f258,f267,f278,f297,f411,f415,f505,f540,f649,f658,f1095,f1164,f1214,f1217]) ).
fof(f1217,plain,
( ~ spl15_7
| spl15_8
| ~ spl15_38 ),
inference(avatar_contradiction_clause,[],[f1216]) ).
fof(f1216,plain,
( $false
| ~ spl15_7
| spl15_8
| ~ spl15_38 ),
inference(subsumption_resolution,[],[f1215,f1170]) ).
fof(f1170,plain,
( ~ leq(sK8,sK8)
| spl15_8
| ~ spl15_38 ),
inference(superposition,[],[f266,f1092]) ).
fof(f1092,plain,
( sK5 = sK8
| ~ spl15_38 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f1090,plain,
( spl15_38
<=> sK5 = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_38])]) ).
fof(f266,plain,
( ~ leq(sK5,sK8)
| spl15_8 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl15_8
<=> leq(sK5,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f1215,plain,
( leq(sK8,sK8)
| ~ spl15_7
| ~ spl15_38 ),
inference(forward_demodulation,[],[f261,f1092]) ).
fof(f261,plain,
( leq(sK8,sK5)
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl15_7
<=> leq(sK8,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f1214,plain,
( spl15_7
| ~ spl15_38 ),
inference(avatar_contradiction_clause,[],[f1213]) ).
fof(f1213,plain,
( $false
| spl15_7
| ~ spl15_38 ),
inference(subsumption_resolution,[],[f1210,f168]) ).
fof(f168,plain,
ssItem(sK8),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
( ( ~ neq(sK3,nil)
| ( memberP(sK3,sK4)
& sK2 = cons(sK4,nil)
& ssItem(sK4) ) )
& ( nil != sK3
| nil = sK2 )
& ( ( ~ leq(sK5,sK8)
& memberP(sK7,sK8) )
| ( ~ leq(sK8,sK5)
& memberP(sK6,sK8) ) )
& ssItem(sK8)
& sK0 = app(app(sK6,cons(sK5,nil)),sK7)
& ssList(sK7)
& ssList(sK6)
& ssItem(sK5)
& sK0 = sK2
& sK1 = sK3
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f99,f137,f136,f135,f134,f133,f132,f131,f130,f129]) ).
fof(f129,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ( ~ leq(X5,X8)
& memberP(X7,X8) )
| ( ~ leq(X8,X5)
& memberP(X6,X8) ) )
& ssItem(X8) )
& app(app(X6,cons(X5,nil)),X7) = X0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ( ~ leq(X5,X8)
& memberP(X7,X8) )
| ( ~ leq(X8,X5)
& memberP(X6,X8) ) )
& ssItem(X8) )
& app(app(X6,cons(X5,nil)),X7) = sK0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ( ~ leq(X5,X8)
& memberP(X7,X8) )
| ( ~ leq(X8,X5)
& memberP(X6,X8) ) )
& ssItem(X8) )
& app(app(X6,cons(X5,nil)),X7) = sK0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ( ~ leq(X5,X8)
& memberP(X7,X8) )
| ( ~ leq(X8,X5)
& memberP(X6,X8) ) )
& ssItem(X8) )
& app(app(X6,cons(X5,nil)),X7) = sK0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ( ~ leq(X5,X8)
& memberP(X7,X8) )
| ( ~ leq(X8,X5)
& memberP(X6,X8) ) )
& ssItem(X8) )
& app(app(X6,cons(X5,nil)),X7) = sK0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = sK2
& ssItem(X4) ) )
& ( nil != X3
| nil = sK2 )
& ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ( ~ leq(X5,X8)
& memberP(X7,X8) )
| ( ~ leq(X8,X5)
& memberP(X6,X8) ) )
& ssItem(X8) )
& app(app(X6,cons(X5,nil)),X7) = sK0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = sK2
& ssItem(X4) ) )
& ( nil != X3
| nil = sK2 )
& ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ( ~ leq(X5,X8)
& memberP(X7,X8) )
| ( ~ leq(X8,X5)
& memberP(X6,X8) ) )
& ssItem(X8) )
& app(app(X6,cons(X5,nil)),X7) = sK0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
=> ( ( ~ neq(sK3,nil)
| ? [X4] :
( memberP(sK3,X4)
& cons(X4,nil) = sK2
& ssItem(X4) ) )
& ( nil != sK3
| nil = sK2 )
& ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ( ~ leq(X5,X8)
& memberP(X7,X8) )
| ( ~ leq(X8,X5)
& memberP(X6,X8) ) )
& ssItem(X8) )
& app(app(X6,cons(X5,nil)),X7) = sK0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& sK0 = sK2
& sK1 = sK3
& ssList(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
( ? [X4] :
( memberP(sK3,X4)
& cons(X4,nil) = sK2
& ssItem(X4) )
=> ( memberP(sK3,sK4)
& sK2 = cons(sK4,nil)
& ssItem(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ( ~ leq(X5,X8)
& memberP(X7,X8) )
| ( ~ leq(X8,X5)
& memberP(X6,X8) ) )
& ssItem(X8) )
& app(app(X6,cons(X5,nil)),X7) = sK0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
=> ( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ( ~ leq(sK5,X8)
& memberP(X7,X8) )
| ( ~ leq(X8,sK5)
& memberP(X6,X8) ) )
& ssItem(X8) )
& sK0 = app(app(X6,cons(sK5,nil)),X7)
& ssList(X7) )
& ssList(X6) )
& ssItem(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ( ~ leq(sK5,X8)
& memberP(X7,X8) )
| ( ~ leq(X8,sK5)
& memberP(X6,X8) ) )
& ssItem(X8) )
& sK0 = app(app(X6,cons(sK5,nil)),X7)
& ssList(X7) )
& ssList(X6) )
=> ( ? [X7] :
( ? [X8] :
( ( ( ~ leq(sK5,X8)
& memberP(X7,X8) )
| ( ~ leq(X8,sK5)
& memberP(sK6,X8) ) )
& ssItem(X8) )
& sK0 = app(app(sK6,cons(sK5,nil)),X7)
& ssList(X7) )
& ssList(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
( ? [X7] :
( ? [X8] :
( ( ( ~ leq(sK5,X8)
& memberP(X7,X8) )
| ( ~ leq(X8,sK5)
& memberP(sK6,X8) ) )
& ssItem(X8) )
& sK0 = app(app(sK6,cons(sK5,nil)),X7)
& ssList(X7) )
=> ( ? [X8] :
( ( ( ~ leq(sK5,X8)
& memberP(sK7,X8) )
| ( ~ leq(X8,sK5)
& memberP(sK6,X8) ) )
& ssItem(X8) )
& sK0 = app(app(sK6,cons(sK5,nil)),sK7)
& ssList(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
( ? [X8] :
( ( ( ~ leq(sK5,X8)
& memberP(sK7,X8) )
| ( ~ leq(X8,sK5)
& memberP(sK6,X8) ) )
& ssItem(X8) )
=> ( ( ( ~ leq(sK5,sK8)
& memberP(sK7,sK8) )
| ( ~ leq(sK8,sK5)
& memberP(sK6,sK8) ) )
& ssItem(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ? [X5] :
( ? [X6] :
( ? [X7] :
( ? [X8] :
( ( ( ~ leq(X5,X8)
& memberP(X7,X8) )
| ( ~ leq(X8,X5)
& memberP(X6,X8) ) )
& ssItem(X8) )
& app(app(X6,cons(X5,nil)),X7) = X0
& ssList(X7) )
& ssList(X6) )
& ssItem(X5) )
& 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] :
( ( neq(X3,nil)
& ! [X4] :
( ~ memberP(X3,X4)
| cons(X4,nil) != X2
| ~ ssItem(X4) ) )
| ( nil = X3
& nil != X2 )
| ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( ! [X8] :
( ssItem(X8)
=> ( ( leq(X5,X8)
| ~ memberP(X7,X8) )
& ( leq(X8,X5)
| ~ memberP(X6,X8) ) ) )
| app(app(X6,cons(X5,nil)),X7) != X0
| ~ ssList(X7) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( neq(X3,nil)
& ! [X8] :
( ~ memberP(X3,X8)
| cons(X8,nil) != X2
| ~ ssItem(X8) ) )
| ( nil = X3
& nil != X2 )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ! [X7] :
( ssItem(X7)
=> ( ( leq(X4,X7)
| ~ memberP(X6,X7) )
& ( leq(X7,X4)
| ~ memberP(X5,X7) ) ) )
| app(app(X5,cons(X4,nil)),X6) != X0
| ~ 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] :
( ( neq(X3,nil)
& ! [X8] :
( ~ memberP(X3,X8)
| cons(X8,nil) != X2
| ~ ssItem(X8) ) )
| ( nil = X3
& nil != X2 )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ! [X7] :
( ssItem(X7)
=> ( ( leq(X4,X7)
| ~ memberP(X6,X7) )
& ( leq(X7,X4)
| ~ memberP(X5,X7) ) ) )
| app(app(X5,cons(X4,nil)),X6) != X0
| ~ ssList(X6) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f1210,plain,
( ~ ssItem(sK8)
| spl15_7
| ~ spl15_38 ),
inference(resolution,[],[f1169,f215]) ).
fof(f215,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ssItem(X0)
=> leq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax31) ).
fof(f1169,plain,
( ~ leq(sK8,sK8)
| spl15_7
| ~ spl15_38 ),
inference(superposition,[],[f262,f1092]) ).
fof(f262,plain,
( ~ leq(sK8,sK5)
| spl15_7 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f1164,plain,
( spl15_38
| ~ spl15_3
| ~ spl15_4
| ~ spl15_10
| ~ spl15_15 ),
inference(avatar_split_clause,[],[f1163,f343,f274,f246,f241,f1090]) ).
fof(f241,plain,
( spl15_3
<=> sK2 = cons(sK4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f246,plain,
( spl15_4
<=> ssItem(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f274,plain,
( spl15_10
<=> memberP(sK7,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f343,plain,
( spl15_15
<=> ssList(app(sK6,cons(sK5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f1163,plain,
( sK5 = sK8
| ~ spl15_3
| ~ spl15_4
| ~ spl15_10
| ~ spl15_15 ),
inference(subsumption_resolution,[],[f1162,f168]) ).
fof(f1162,plain,
( sK5 = sK8
| ~ ssItem(sK8)
| ~ spl15_3
| ~ spl15_4
| ~ spl15_10
| ~ spl15_15 ),
inference(resolution,[],[f1161,f276]) ).
fof(f276,plain,
( memberP(sK7,sK8)
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f1161,plain,
( ! [X0] :
( ~ memberP(sK7,X0)
| sK5 = X0
| ~ ssItem(X0) )
| ~ spl15_3
| ~ spl15_4
| ~ spl15_15 ),
inference(forward_demodulation,[],[f1160,f1104]) ).
fof(f1104,plain,
( sK4 = sK5
| ~ spl15_3
| ~ spl15_4
| ~ spl15_15 ),
inference(subsumption_resolution,[],[f1103,f164]) ).
fof(f164,plain,
ssItem(sK5),
inference(cnf_transformation,[],[f138]) ).
fof(f1103,plain,
( sK4 = sK5
| ~ ssItem(sK5)
| ~ spl15_3
| ~ spl15_4
| ~ spl15_15 ),
inference(resolution,[],[f1078,f573]) ).
fof(f573,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| sK4 = X0
| ~ ssItem(X0) )
| ~ spl15_3
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f572,f204]) ).
fof(f204,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
fof(f572,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| sK4 = X0
| memberP(nil,X0)
| ~ ssItem(X0) )
| ~ spl15_3
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f571,f248]) ).
fof(f248,plain,
( ssItem(sK4)
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f571,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| sK4 = X0
| memberP(nil,X0)
| ~ ssItem(sK4)
| ~ ssItem(X0) )
| ~ spl15_3 ),
inference(subsumption_resolution,[],[f560,f203]) ).
fof(f203,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f560,plain,
( ! [X0] :
( ~ memberP(sK2,X0)
| sK4 = X0
| memberP(nil,X0)
| ~ ssList(nil)
| ~ ssItem(sK4)
| ~ ssItem(X0) )
| ~ spl15_3 ),
inference(superposition,[],[f205,f243]) ).
fof(f243,plain,
( sK2 = cons(sK4,nil)
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f205,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| X0 = X1
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
fof(f1078,plain,
( memberP(sK2,sK5)
| ~ spl15_15 ),
inference(subsumption_resolution,[],[f1077,f344]) ).
fof(f344,plain,
( ssList(app(sK6,cons(sK5,nil)))
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f1077,plain,
( memberP(sK2,sK5)
| ~ ssList(app(sK6,cons(sK5,nil)))
| ~ spl15_15 ),
inference(subsumption_resolution,[],[f1076,f165]) ).
fof(f165,plain,
ssList(sK6),
inference(cnf_transformation,[],[f138]) ).
fof(f1076,plain,
( memberP(sK2,sK5)
| ~ ssList(sK6)
| ~ ssList(app(sK6,cons(sK5,nil)))
| ~ spl15_15 ),
inference(subsumption_resolution,[],[f1075,f203]) ).
fof(f1075,plain,
( memberP(sK2,sK5)
| ~ ssList(nil)
| ~ ssList(sK6)
| ~ ssList(app(sK6,cons(sK5,nil)))
| ~ spl15_15 ),
inference(subsumption_resolution,[],[f1068,f164]) ).
fof(f1068,plain,
( memberP(sK2,sK5)
| ~ ssItem(sK5)
| ~ ssList(nil)
| ~ ssList(sK6)
| ~ ssList(app(sK6,cons(sK5,nil)))
| ~ spl15_15 ),
inference(duplicate_literal_removal,[],[f1067]) ).
fof(f1067,plain,
( memberP(sK2,sK5)
| ~ ssItem(sK5)
| ~ ssList(nil)
| ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssList(app(sK6,cons(sK5,nil)))
| ~ spl15_15 ),
inference(resolution,[],[f550,f226]) ).
fof(f226,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f214]) ).
fof(f214,plain,
! [X2,X3,X0,X1] :
( memberP(X0,X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(sK13(X0,X1),cons(X1,sK14(X0,X1))) = X0
& ssList(sK14(X0,X1))
& ssList(sK13(X0,X1)) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f154,f156,f155]) ).
fof(f155,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(sK13(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
& ssList(sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
! [X0,X1] :
( ? [X5] :
( app(sK13(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
=> ( app(sK13(X0,X1),cons(X1,sK14(X0,X1))) = X0
& ssList(sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f550,plain,
( ! [X0] :
( ~ memberP(app(sK6,cons(sK5,nil)),X0)
| memberP(sK2,X0)
| ~ ssItem(X0) )
| ~ spl15_15 ),
inference(subsumption_resolution,[],[f390,f344]) ).
fof(f390,plain,
! [X0] :
( memberP(sK2,X0)
| ~ memberP(app(sK6,cons(sK5,nil)),X0)
| ~ ssList(app(sK6,cons(sK5,nil)))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f325,f166]) ).
fof(f166,plain,
ssList(sK7),
inference(cnf_transformation,[],[f138]) ).
fof(f325,plain,
! [X0] :
( memberP(sK2,X0)
| ~ memberP(app(sK6,cons(sK5,nil)),X0)
| ~ ssList(sK7)
| ~ ssList(app(sK6,cons(sK5,nil)))
| ~ ssItem(X0) ),
inference(superposition,[],[f209,f218]) ).
fof(f218,plain,
sK2 = app(app(sK6,cons(sK5,nil)),sK7),
inference(definition_unfolding,[],[f167,f163]) ).
fof(f163,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f138]) ).
fof(f167,plain,
sK0 = app(app(sK6,cons(sK5,nil)),sK7),
inference(cnf_transformation,[],[f138]) ).
fof(f209,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
fof(f1160,plain,
( ! [X0] :
( ~ memberP(sK7,X0)
| ~ ssItem(X0)
| sK4 = X0 )
| ~ spl15_3
| ~ spl15_4
| ~ spl15_15 ),
inference(duplicate_literal_removal,[],[f1158]) ).
fof(f1158,plain,
( ! [X0] :
( ~ memberP(sK7,X0)
| ~ ssItem(X0)
| sK4 = X0
| ~ ssItem(X0) )
| ~ spl15_3
| ~ spl15_4
| ~ spl15_15 ),
inference(resolution,[],[f1102,f573]) ).
fof(f1102,plain,
( ! [X0] :
( memberP(sK2,X0)
| ~ memberP(sK7,X0)
| ~ ssItem(X0) )
| ~ spl15_15 ),
inference(subsumption_resolution,[],[f397,f344]) ).
fof(f397,plain,
! [X0] :
( memberP(sK2,X0)
| ~ memberP(sK7,X0)
| ~ ssList(app(sK6,cons(sK5,nil)))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f326,f166]) ).
fof(f326,plain,
! [X0] :
( memberP(sK2,X0)
| ~ memberP(sK7,X0)
| ~ ssList(sK7)
| ~ ssList(app(sK6,cons(sK5,nil)))
| ~ ssItem(X0) ),
inference(superposition,[],[f210,f218]) ).
fof(f210,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f1095,plain,
( spl15_38
| ~ spl15_3
| ~ spl15_4
| ~ spl15_9
| ~ spl15_15
| ~ spl15_35 ),
inference(avatar_split_clause,[],[f1094,f647,f343,f269,f246,f241,f1090]) ).
fof(f269,plain,
( spl15_9
<=> memberP(sK6,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f647,plain,
( spl15_35
<=> ! [X0] :
( memberP(sK2,X0)
| ~ ssItem(X0)
| ~ memberP(sK6,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_35])]) ).
fof(f1094,plain,
( sK5 = sK8
| ~ spl15_3
| ~ spl15_4
| ~ spl15_9
| ~ spl15_15
| ~ spl15_35 ),
inference(subsumption_resolution,[],[f1081,f164]) ).
fof(f1081,plain,
( sK5 = sK8
| ~ ssItem(sK5)
| ~ spl15_3
| ~ spl15_4
| ~ spl15_9
| ~ spl15_15
| ~ spl15_35 ),
inference(resolution,[],[f1079,f675]) ).
fof(f675,plain,
( ! [X0] :
( ~ memberP(cons(sK8,nil),X0)
| sK8 = X0
| ~ ssItem(X0) )
| ~ spl15_3
| ~ spl15_4
| ~ spl15_9
| ~ spl15_35 ),
inference(forward_demodulation,[],[f671,f662]) ).
fof(f662,plain,
( sK4 = sK8
| ~ spl15_3
| ~ spl15_4
| ~ spl15_9
| ~ spl15_35 ),
inference(subsumption_resolution,[],[f661,f168]) ).
fof(f661,plain,
( ~ ssItem(sK8)
| sK4 = sK8
| ~ spl15_3
| ~ spl15_4
| ~ spl15_9
| ~ spl15_35 ),
inference(resolution,[],[f660,f271]) ).
fof(f271,plain,
( memberP(sK6,sK8)
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f660,plain,
( ! [X0] :
( ~ memberP(sK6,X0)
| ~ ssItem(X0)
| sK4 = X0 )
| ~ spl15_3
| ~ spl15_4
| ~ spl15_35 ),
inference(duplicate_literal_removal,[],[f659]) ).
fof(f659,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ memberP(sK6,X0)
| sK4 = X0
| ~ ssItem(X0) )
| ~ spl15_3
| ~ spl15_4
| ~ spl15_35 ),
inference(resolution,[],[f648,f573]) ).
fof(f648,plain,
( ! [X0] :
( memberP(sK2,X0)
| ~ ssItem(X0)
| ~ memberP(sK6,X0) )
| ~ spl15_35 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f671,plain,
( ! [X0] :
( ~ memberP(cons(sK8,nil),X0)
| sK4 = X0
| ~ ssItem(X0) )
| ~ spl15_3
| ~ spl15_4
| ~ spl15_9
| ~ spl15_35 ),
inference(superposition,[],[f573,f664]) ).
fof(f664,plain,
( sK2 = cons(sK8,nil)
| ~ spl15_3
| ~ spl15_4
| ~ spl15_9
| ~ spl15_35 ),
inference(superposition,[],[f243,f662]) ).
fof(f1079,plain,
( memberP(cons(sK8,nil),sK5)
| ~ spl15_3
| ~ spl15_4
| ~ spl15_9
| ~ spl15_15
| ~ spl15_35 ),
inference(forward_demodulation,[],[f1078,f664]) ).
fof(f658,plain,
( ~ spl15_13
| spl15_29 ),
inference(avatar_contradiction_clause,[],[f657]) ).
fof(f657,plain,
( $false
| ~ spl15_13
| spl15_29 ),
inference(subsumption_resolution,[],[f656,f333]) ).
fof(f333,plain,
( ssList(cons(sK5,nil))
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f332,plain,
( spl15_13
<=> ssList(cons(sK5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f656,plain,
( ~ ssList(cons(sK5,nil))
| spl15_29 ),
inference(subsumption_resolution,[],[f655,f166]) ).
fof(f655,plain,
( ~ ssList(sK7)
| ~ ssList(cons(sK5,nil))
| spl15_29 ),
inference(resolution,[],[f616,f198]) ).
fof(f198,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
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(f616,plain,
( ~ ssList(app(cons(sK5,nil),sK7))
| spl15_29 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f614,plain,
( spl15_29
<=> ssList(app(cons(sK5,nil),sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_29])]) ).
fof(f649,plain,
( ~ spl15_29
| spl15_35
| ~ spl15_13 ),
inference(avatar_split_clause,[],[f645,f332,f647,f614]) ).
fof(f645,plain,
( ! [X0] :
( memberP(sK2,X0)
| ~ memberP(sK6,X0)
| ~ ssList(app(cons(sK5,nil),sK7))
| ~ ssItem(X0) )
| ~ spl15_13 ),
inference(subsumption_resolution,[],[f610,f165]) ).
fof(f610,plain,
( ! [X0] :
( memberP(sK2,X0)
| ~ memberP(sK6,X0)
| ~ ssList(app(cons(sK5,nil),sK7))
| ~ ssList(sK6)
| ~ ssItem(X0) )
| ~ spl15_13 ),
inference(superposition,[],[f209,f541]) ).
fof(f541,plain,
( sK2 = app(sK6,app(cons(sK5,nil),sK7))
| ~ spl15_13 ),
inference(subsumption_resolution,[],[f329,f333]) ).
fof(f329,plain,
( sK2 = app(sK6,app(cons(sK5,nil),sK7))
| ~ ssList(cons(sK5,nil)) ),
inference(subsumption_resolution,[],[f328,f165]) ).
fof(f328,plain,
( sK2 = app(sK6,app(cons(sK5,nil),sK7))
| ~ ssList(cons(sK5,nil))
| ~ ssList(sK6) ),
inference(subsumption_resolution,[],[f314,f166]) ).
fof(f314,plain,
( sK2 = app(sK6,app(cons(sK5,nil),sK7))
| ~ ssList(sK7)
| ~ ssList(cons(sK5,nil))
| ~ ssList(sK6) ),
inference(superposition,[],[f218,f192]) ).
fof(f192,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(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(f540,plain,
( ~ spl15_15
| spl15_17
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f539,f251,f354,f343]) ).
fof(f354,plain,
( spl15_17
<=> nil = app(sK6,cons(sK5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f251,plain,
( spl15_5
<=> nil = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f539,plain,
( nil != sK2
| nil = app(sK6,cons(sK5,nil))
| ~ ssList(app(sK6,cons(sK5,nil))) ),
inference(subsumption_resolution,[],[f316,f166]) ).
fof(f316,plain,
( nil != sK2
| nil = app(sK6,cons(sK5,nil))
| ~ ssList(sK7)
| ~ ssList(app(sK6,cons(sK5,nil))) ),
inference(superposition,[],[f190,f218]) ).
fof(f190,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
fof(f505,plain,
~ spl15_17,
inference(avatar_contradiction_clause,[],[f504]) ).
fof(f504,plain,
( $false
| ~ spl15_17 ),
inference(subsumption_resolution,[],[f503,f164]) ).
fof(f503,plain,
( ~ ssItem(sK5)
| ~ spl15_17 ),
inference(resolution,[],[f466,f204]) ).
fof(f466,plain,
( memberP(nil,sK5)
| ~ spl15_17 ),
inference(subsumption_resolution,[],[f465,f164]) ).
fof(f465,plain,
( memberP(nil,sK5)
| ~ ssItem(sK5)
| ~ spl15_17 ),
inference(subsumption_resolution,[],[f464,f165]) ).
fof(f464,plain,
( memberP(nil,sK5)
| ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ spl15_17 ),
inference(subsumption_resolution,[],[f461,f203]) ).
fof(f461,plain,
( memberP(nil,sK5)
| ~ ssList(nil)
| ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ spl15_17 ),
inference(duplicate_literal_removal,[],[f446]) ).
fof(f446,plain,
( memberP(nil,sK5)
| ~ ssList(nil)
| ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ ssList(nil)
| ~ spl15_17 ),
inference(superposition,[],[f226,f356]) ).
fof(f356,plain,
( nil = app(sK6,cons(sK5,nil))
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f415,plain,
( ~ spl15_13
| spl15_15 ),
inference(avatar_contradiction_clause,[],[f414]) ).
fof(f414,plain,
( $false
| ~ spl15_13
| spl15_15 ),
inference(subsumption_resolution,[],[f413,f165]) ).
fof(f413,plain,
( ~ ssList(sK6)
| ~ spl15_13
| spl15_15 ),
inference(subsumption_resolution,[],[f412,f333]) ).
fof(f412,plain,
( ~ ssList(cons(sK5,nil))
| ~ ssList(sK6)
| spl15_15 ),
inference(resolution,[],[f345,f198]) ).
fof(f345,plain,
( ~ ssList(app(sK6,cons(sK5,nil)))
| spl15_15 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f411,plain,
spl15_13,
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f410,plain,
( $false
| spl15_13 ),
inference(subsumption_resolution,[],[f409,f203]) ).
fof(f409,plain,
( ~ ssList(nil)
| spl15_13 ),
inference(subsumption_resolution,[],[f408,f164]) ).
fof(f408,plain,
( ~ ssItem(sK5)
| ~ ssList(nil)
| spl15_13 ),
inference(resolution,[],[f334,f187]) ).
fof(f187,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f334,plain,
( ~ ssList(cons(sK5,nil))
| spl15_13 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f297,plain,
( spl15_6
| spl15_2 ),
inference(avatar_split_clause,[],[f296,f236,f255]) ).
fof(f255,plain,
( spl15_6
<=> nil = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f236,plain,
( spl15_2
<=> neq(sK3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f296,plain,
( nil = sK3
| spl15_2 ),
inference(subsumption_resolution,[],[f295,f161]) ).
fof(f161,plain,
ssList(sK3),
inference(cnf_transformation,[],[f138]) ).
fof(f295,plain,
( nil = sK3
| ~ ssList(sK3)
| spl15_2 ),
inference(subsumption_resolution,[],[f280,f203]) ).
fof(f280,plain,
( nil = sK3
| ~ ssList(nil)
| ~ ssList(sK3)
| spl15_2 ),
inference(resolution,[],[f238,f200]) ).
fof(f200,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f118,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(f238,plain,
( ~ neq(sK3,nil)
| spl15_2 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f278,plain,
( spl15_9
| spl15_10 ),
inference(avatar_split_clause,[],[f169,f274,f269]) ).
fof(f169,plain,
( memberP(sK7,sK8)
| memberP(sK6,sK8) ),
inference(cnf_transformation,[],[f138]) ).
fof(f267,plain,
( ~ spl15_7
| ~ spl15_8 ),
inference(avatar_split_clause,[],[f172,f264,f260]) ).
fof(f172,plain,
( ~ leq(sK5,sK8)
| ~ leq(sK8,sK5) ),
inference(cnf_transformation,[],[f138]) ).
fof(f258,plain,
( spl15_5
| ~ spl15_6 ),
inference(avatar_split_clause,[],[f173,f255,f251]) ).
fof(f173,plain,
( nil != sK3
| nil = sK2 ),
inference(cnf_transformation,[],[f138]) ).
fof(f249,plain,
( spl15_4
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f174,f236,f246]) ).
fof(f174,plain,
( ~ neq(sK3,nil)
| ssItem(sK4) ),
inference(cnf_transformation,[],[f138]) ).
fof(f244,plain,
( spl15_3
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f175,f236,f241]) ).
fof(f175,plain,
( ~ neq(sK3,nil)
| sK2 = cons(sK4,nil) ),
inference(cnf_transformation,[],[f138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC284+1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37 % Computer : n006.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun May 19 03:08:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/0.88 % (19157)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 theBenchmark for (2994ds/34Mi)
% 0.73/0.88 % (19159)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.73/0.88 % (19160)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.73/0.88 % (19158)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 theBenchmark for (2994ds/51Mi)
% 0.73/0.88 % (19161)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 theBenchmark for (2994ds/34Mi)
% 0.73/0.88 % (19162)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.73/0.89 % (19163)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 theBenchmark for (2994ds/83Mi)
% 0.73/0.89 % (19164)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.73/0.90 % (19160)Instruction limit reached!
% 0.73/0.90 % (19160)------------------------------
% 0.73/0.90 % (19160)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.90 % (19161)Instruction limit reached!
% 0.73/0.90 % (19161)------------------------------
% 0.73/0.90 % (19161)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.90 % (19160)Termination reason: Unknown
% 0.73/0.90 % (19160)Termination phase: Saturation
% 0.73/0.90
% 0.73/0.90 % (19160)Memory used [KB]: 1676
% 0.73/0.90 % (19160)Time elapsed: 0.019 s
% 0.73/0.90 % (19160)Instructions burned: 34 (million)
% 0.73/0.90 % (19160)------------------------------
% 0.73/0.90 % (19160)------------------------------
% 0.73/0.90 % (19161)Termination reason: Unknown
% 0.73/0.90 % (19161)Termination phase: Saturation
% 0.73/0.90
% 0.73/0.90 % (19161)Memory used [KB]: 2046
% 0.73/0.90 % (19161)Time elapsed: 0.019 s
% 0.73/0.90 % (19161)Instructions burned: 36 (million)
% 0.73/0.90 % (19161)------------------------------
% 0.73/0.90 % (19161)------------------------------
% 0.73/0.90 % (19157)Instruction limit reached!
% 0.73/0.90 % (19157)------------------------------
% 0.73/0.90 % (19157)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.90 % (19157)Termination reason: Unknown
% 0.73/0.90 % (19157)Termination phase: Saturation
% 0.73/0.90
% 0.73/0.90 % (19157)Memory used [KB]: 1553
% 0.73/0.90 % (19157)Time elapsed: 0.021 s
% 0.73/0.90 % (19157)Instructions burned: 35 (million)
% 0.73/0.90 % (19157)------------------------------
% 0.73/0.90 % (19157)------------------------------
% 0.73/0.91 % (19165)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 theBenchmark for (2994ds/55Mi)
% 0.73/0.91 % (19166)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 theBenchmark for (2994ds/50Mi)
% 0.73/0.91 % (19167)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.73/0.91 % (19162)First to succeed.
% 0.73/0.91 % (19164)Instruction limit reached!
% 0.73/0.91 % (19164)------------------------------
% 0.73/0.91 % (19164)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.91 % (19164)Termination reason: Unknown
% 0.73/0.91 % (19164)Termination phase: Saturation
% 0.73/0.91
% 0.73/0.91 % (19164)Memory used [KB]: 1697
% 0.73/0.91 % (19164)Time elapsed: 0.025 s
% 0.73/0.91 % (19164)Instructions burned: 57 (million)
% 0.73/0.91 % (19164)------------------------------
% 0.73/0.91 % (19164)------------------------------
% 0.73/0.91 % (19162)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-19156"
% 0.73/0.91 % (19162)Refutation found. Thanks to Tanya!
% 0.73/0.91 % SZS status Theorem for theBenchmark
% 0.73/0.91 % SZS output start Proof for theBenchmark
% See solution above
% 0.73/0.91 % (19162)------------------------------
% 0.73/0.91 % (19162)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.91 % (19162)Termination reason: Refutation
% 0.73/0.91
% 0.73/0.91 % (19162)Memory used [KB]: 1505
% 0.73/0.91 % (19162)Time elapsed: 0.027 s
% 0.73/0.91 % (19162)Instructions burned: 48 (million)
% 0.73/0.91 % (19156)Success in time 0.529 s
% 0.73/0.91 % Vampire---4.8 exiting
%------------------------------------------------------------------------------