TSTP Solution File: SWC002-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC002-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Tue May 21 04:35:29 EDT 2024
% Result : Unsatisfiable 0.60s 0.84s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 26
% Syntax : Number of formulae : 88 ( 5 unt; 1 typ; 0 def)
% Number of atoms : 936 ( 24 equ)
% Maximal formula atoms : 11 ( 10 avg)
% Number of connectives : 681 ( 341 ~; 328 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 509 ( 509 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 30 ( 28 usr; 20 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 71 ( 70 !; 0 ?; 58 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_20,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f383,plain,
$false,
inference(avatar_sat_refutation,[],[f327,f328,f329,f330,f331,f332,f333,f334,f335,f336,f347,f382]) ).
tff(f382,plain,
( ~ spl1_1
| ~ spl1_3
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_9
| ~ spl1_10
| ~ spl1_11 ),
inference(avatar_contradiction_clause,[],[f381]) ).
tff(f381,plain,
( $false
| ~ spl1_1
| ~ spl1_3
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_9
| ~ spl1_10
| ~ spl1_11 ),
inference(subsumption_resolution,[],[f380,f357]) ).
tff(f357,plain,
( memberP(sk4,sk5(sk8,sk7,sk6))
| ~ spl1_3
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_9
| ~ spl1_10 ),
inference(subsumption_resolution,[],[f356,f321]) ).
tff(f321,plain,
( sQ0_eqProxy($i,sk3,app(sk7,sk8))
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f319]) ).
tff(f319,plain,
( spl1_10
<=> sQ0_eqProxy($i,sk3,app(sk7,sk8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).
tff(f356,plain,
( memberP(sk4,sk5(sk8,sk7,sk6))
| ~ sQ0_eqProxy($i,sk3,app(sk7,sk8))
| ~ spl1_3
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_9 ),
inference(subsumption_resolution,[],[f355,f311]) ).
tff(f311,plain,
( ssList(sk8)
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f309]) ).
tff(f309,plain,
( spl1_8
<=> ssList(sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
tff(f355,plain,
( ~ ssList(sk8)
| memberP(sk4,sk5(sk8,sk7,sk6))
| ~ sQ0_eqProxy($i,sk3,app(sk7,sk8))
| ~ spl1_3
| ~ spl1_6
| ~ spl1_7
| ~ spl1_9 ),
inference(subsumption_resolution,[],[f354,f306]) ).
tff(f306,plain,
( ssList(sk7)
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f304]) ).
tff(f304,plain,
( spl1_7
<=> ssList(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
tff(f354,plain,
( ~ ssList(sk7)
| ~ ssList(sk8)
| memberP(sk4,sk5(sk8,sk7,sk6))
| ~ sQ0_eqProxy($i,sk3,app(sk7,sk8))
| ~ spl1_3
| ~ spl1_6
| ~ spl1_9 ),
inference(subsumption_resolution,[],[f353,f301]) ).
tff(f301,plain,
( ssItem(sk6)
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f299]) ).
tff(f299,plain,
( spl1_6
<=> ssItem(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
tff(f353,plain,
( ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(sk8)
| memberP(sk4,sk5(sk8,sk7,sk6))
| ~ sQ0_eqProxy($i,sk3,app(sk7,sk8))
| ~ spl1_3
| ~ spl1_9 ),
inference(resolution,[],[f288,f316]) ).
tff(f316,plain,
( sQ0_eqProxy($i,sk4,app(app(sk7,cons(sk6,nil)),sk8))
| ~ spl1_9 ),
inference(avatar_component_clause,[],[f314]) ).
tff(f314,plain,
( spl1_9
<=> sQ0_eqProxy($i,sk4,app(app(sk7,cons(sk6,nil)),sk8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_9])]) ).
tff(f288,plain,
( ! [X8: $i,X6: $i,X7: $i] :
( ~ sQ0_eqProxy($i,sk4,app(app(X7,cons(X6,nil)),X8))
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| memberP(sk4,sk5(X8,X7,X6))
| ~ sQ0_eqProxy($i,sk3,app(X7,X8)) )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f287]) ).
tff(f287,plain,
( spl1_3
<=> ! [X6,X7,X8] :
( memberP(sk4,sk5(X8,X7,X6))
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ sQ0_eqProxy($i,sk4,app(app(X7,cons(X6,nil)),X8))
| ~ sQ0_eqProxy($i,sk3,app(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f380,plain,
( ~ memberP(sk4,sk5(sk8,sk7,sk6))
| ~ spl1_1
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_9
| ~ spl1_10
| ~ spl1_11 ),
inference(subsumption_resolution,[],[f379,f362]) ).
tff(f362,plain,
( geq(sk5(sk8,sk7,sk6),sk6)
| ~ spl1_4
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_9
| ~ spl1_10 ),
inference(subsumption_resolution,[],[f361,f321]) ).
tff(f361,plain,
( geq(sk5(sk8,sk7,sk6),sk6)
| ~ sQ0_eqProxy($i,sk3,app(sk7,sk8))
| ~ spl1_4
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_9 ),
inference(subsumption_resolution,[],[f360,f311]) ).
tff(f360,plain,
( ~ ssList(sk8)
| geq(sk5(sk8,sk7,sk6),sk6)
| ~ sQ0_eqProxy($i,sk3,app(sk7,sk8))
| ~ spl1_4
| ~ spl1_6
| ~ spl1_7
| ~ spl1_9 ),
inference(subsumption_resolution,[],[f359,f306]) ).
tff(f359,plain,
( ~ ssList(sk7)
| ~ ssList(sk8)
| geq(sk5(sk8,sk7,sk6),sk6)
| ~ sQ0_eqProxy($i,sk3,app(sk7,sk8))
| ~ spl1_4
| ~ spl1_6
| ~ spl1_9 ),
inference(subsumption_resolution,[],[f358,f301]) ).
tff(f358,plain,
( ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(sk8)
| geq(sk5(sk8,sk7,sk6),sk6)
| ~ sQ0_eqProxy($i,sk3,app(sk7,sk8))
| ~ spl1_4
| ~ spl1_9 ),
inference(resolution,[],[f292,f316]) ).
tff(f292,plain,
( ! [X8: $i,X6: $i,X7: $i] :
( ~ sQ0_eqProxy($i,sk4,app(app(X7,cons(X6,nil)),X8))
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| geq(sk5(X8,X7,X6),X6)
| ~ sQ0_eqProxy($i,sk3,app(X7,X8)) )
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f291]) ).
tff(f291,plain,
( spl1_4
<=> ! [X6,X7,X8] :
( geq(sk5(X8,X7,X6),X6)
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ sQ0_eqProxy($i,sk4,app(app(X7,cons(X6,nil)),X8))
| ~ sQ0_eqProxy($i,sk3,app(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f379,plain,
( ~ geq(sk5(sk8,sk7,sk6),sk6)
| ~ memberP(sk4,sk5(sk8,sk7,sk6))
| ~ spl1_1
| ~ spl1_5
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_9
| ~ spl1_10
| ~ spl1_11 ),
inference(subsumption_resolution,[],[f377,f352]) ).
tff(f352,plain,
( ssItem(sk5(sk8,sk7,sk6))
| ~ spl1_1
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_9
| ~ spl1_10 ),
inference(subsumption_resolution,[],[f351,f321]) ).
tff(f351,plain,
( ssItem(sk5(sk8,sk7,sk6))
| ~ sQ0_eqProxy($i,sk3,app(sk7,sk8))
| ~ spl1_1
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_9 ),
inference(subsumption_resolution,[],[f350,f311]) ).
tff(f350,plain,
( ~ ssList(sk8)
| ssItem(sk5(sk8,sk7,sk6))
| ~ sQ0_eqProxy($i,sk3,app(sk7,sk8))
| ~ spl1_1
| ~ spl1_6
| ~ spl1_7
| ~ spl1_9 ),
inference(subsumption_resolution,[],[f349,f306]) ).
tff(f349,plain,
( ~ ssList(sk7)
| ~ ssList(sk8)
| ssItem(sk5(sk8,sk7,sk6))
| ~ sQ0_eqProxy($i,sk3,app(sk7,sk8))
| ~ spl1_1
| ~ spl1_6
| ~ spl1_9 ),
inference(subsumption_resolution,[],[f348,f301]) ).
tff(f348,plain,
( ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(sk8)
| ssItem(sk5(sk8,sk7,sk6))
| ~ sQ0_eqProxy($i,sk3,app(sk7,sk8))
| ~ spl1_1
| ~ spl1_9 ),
inference(resolution,[],[f280,f316]) ).
tff(f280,plain,
( ! [X8: $i,X6: $i,X7: $i] :
( ~ sQ0_eqProxy($i,sk4,app(app(X7,cons(X6,nil)),X8))
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| ssItem(sk5(X8,X7,X6))
| ~ sQ0_eqProxy($i,sk3,app(X7,X8)) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f279]) ).
tff(f279,plain,
( spl1_1
<=> ! [X6,X7,X8] :
( ssItem(sk5(X8,X7,X6))
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ sQ0_eqProxy($i,sk4,app(app(X7,cons(X6,nil)),X8))
| ~ sQ0_eqProxy($i,sk3,app(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f377,plain,
( ~ ssItem(sk5(sk8,sk7,sk6))
| ~ geq(sk5(sk8,sk7,sk6),sk6)
| ~ memberP(sk4,sk5(sk8,sk7,sk6))
| ~ spl1_5
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_9
| ~ spl1_10
| ~ spl1_11 ),
inference(resolution,[],[f372,f325]) ).
tff(f325,plain,
( ! [X6: $i] :
( sQ0_eqProxy($i,sk6,X6)
| ~ ssItem(X6)
| ~ geq(X6,sk6)
| ~ memberP(sk4,X6) )
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f324]) ).
tff(f324,plain,
( spl1_11
<=> ! [X6] :
( ~ geq(X6,sk6)
| ~ ssItem(X6)
| sQ0_eqProxy($i,sk6,X6)
| ~ memberP(sk4,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).
tff(f372,plain,
( ~ sQ0_eqProxy($i,sk6,sk5(sk8,sk7,sk6))
| ~ spl1_5
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_9
| ~ spl1_10 ),
inference(resolution,[],[f272,f367]) ).
tff(f367,plain,
( ~ sQ0_eqProxy($i,sk5(sk8,sk7,sk6),sk6)
| ~ spl1_5
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_9
| ~ spl1_10 ),
inference(subsumption_resolution,[],[f366,f321]) ).
tff(f366,plain,
( ~ sQ0_eqProxy($i,sk5(sk8,sk7,sk6),sk6)
| ~ sQ0_eqProxy($i,sk3,app(sk7,sk8))
| ~ spl1_5
| ~ spl1_6
| ~ spl1_7
| ~ spl1_8
| ~ spl1_9 ),
inference(subsumption_resolution,[],[f365,f311]) ).
tff(f365,plain,
( ~ ssList(sk8)
| ~ sQ0_eqProxy($i,sk5(sk8,sk7,sk6),sk6)
| ~ sQ0_eqProxy($i,sk3,app(sk7,sk8))
| ~ spl1_5
| ~ spl1_6
| ~ spl1_7
| ~ spl1_9 ),
inference(subsumption_resolution,[],[f364,f306]) ).
tff(f364,plain,
( ~ ssList(sk7)
| ~ ssList(sk8)
| ~ sQ0_eqProxy($i,sk5(sk8,sk7,sk6),sk6)
| ~ sQ0_eqProxy($i,sk3,app(sk7,sk8))
| ~ spl1_5
| ~ spl1_6
| ~ spl1_9 ),
inference(subsumption_resolution,[],[f363,f301]) ).
tff(f363,plain,
( ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(sk8)
| ~ sQ0_eqProxy($i,sk5(sk8,sk7,sk6),sk6)
| ~ sQ0_eqProxy($i,sk3,app(sk7,sk8))
| ~ spl1_5
| ~ spl1_9 ),
inference(resolution,[],[f296,f316]) ).
tff(f296,plain,
( ! [X8: $i,X6: $i,X7: $i] :
( ~ sQ0_eqProxy($i,sk4,app(app(X7,cons(X6,nil)),X8))
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ sQ0_eqProxy($i,sk5(X8,X7,X6),X6)
| ~ sQ0_eqProxy($i,sk3,app(X7,X8)) )
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f295]) ).
tff(f295,plain,
( spl1_5
<=> ! [X6,X7,X8] :
( ~ sQ0_eqProxy($i,sk5(X8,X7,X6),X6)
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ sQ0_eqProxy($i,sk4,app(app(X7,cons(X6,nil)),X8))
| ~ sQ0_eqProxy($i,sk3,app(X7,X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
tff(f272,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X2,X1)
| ~ sQ0_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f238]) ).
tff(f238,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f347,plain,
spl1_2,
inference(avatar_split_clause,[],[f277,f282]) ).
tff(f282,plain,
( spl1_2
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f277,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f216]) ).
tff(f216,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f192,f190,f190]) ).
tff(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
tff(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
tff(f336,plain,
( spl1_11
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f252,f282,f324]) ).
tff(f252,plain,
! [X6: $i] :
( ~ neq(sk4,nil)
| ~ geq(X6,sk6)
| ~ memberP(sk4,X6)
| sQ0_eqProxy($i,sk6,X6)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f213,f238]) ).
tff(f213,axiom,
! [X6: $i] :
( ~ neq(sk4,nil)
| ~ geq(X6,sk6)
| ~ memberP(sk4,X6)
| ( sk6 = X6 )
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_28) ).
tff(f335,plain,
( spl1_10
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f251,f282,f319]) ).
tff(f251,plain,
( ~ neq(sk4,nil)
| sQ0_eqProxy($i,sk3,app(sk7,sk8)) ),
inference(equality_proxy_replacement,[],[f212,f238]) ).
tff(f212,axiom,
( ~ neq(sk4,nil)
| ( sk3 = app(sk7,sk8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_27) ).
tff(f334,plain,
( spl1_9
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f250,f282,f314]) ).
tff(f250,plain,
( ~ neq(sk4,nil)
| sQ0_eqProxy($i,sk4,app(app(sk7,cons(sk6,nil)),sk8)) ),
inference(equality_proxy_replacement,[],[f211,f238]) ).
tff(f211,axiom,
( ~ neq(sk4,nil)
| ( sk4 = app(app(sk7,cons(sk6,nil)),sk8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_26) ).
tff(f333,plain,
( spl1_8
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f210,f282,f309]) ).
tff(f210,axiom,
( ~ neq(sk4,nil)
| ssList(sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_25) ).
tff(f332,plain,
( spl1_7
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f209,f282,f304]) ).
tff(f209,axiom,
( ~ neq(sk4,nil)
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_24) ).
tff(f331,plain,
( spl1_6
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f208,f282,f299]) ).
tff(f208,axiom,
( ~ neq(sk4,nil)
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_23) ).
tff(f330,plain,
( spl1_5
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f249,f282,f295]) ).
tff(f249,plain,
! [X8: $i,X6: $i,X7: $i] :
( ~ neq(sk4,nil)
| ~ sQ0_eqProxy($i,sk5(X8,X7,X6),X6)
| ~ sQ0_eqProxy($i,sk3,app(X7,X8))
| ~ sQ0_eqProxy($i,sk4,app(app(X7,cons(X6,nil)),X8))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f231,f238]) ).
tff(f231,plain,
! [X8: $i,X6: $i,X7: $i] :
( ~ neq(sk4,nil)
| ( sk5(X8,X7,X6) != X6 )
| ( sk3 != app(X7,X8) )
| ( sk4 != app(app(X7,cons(X6,nil)),X8) )
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f207,f191,f190]) ).
tff(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
tff(f207,axiom,
! [X8: $i,X6: $i,X7: $i] :
( ~ neq(sk4,nil)
| ( sk5(X8,X7,X6) != X6 )
| ( sk1 != app(X7,X8) )
| ( sk2 != app(app(X7,cons(X6,nil)),X8) )
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_22) ).
tff(f329,plain,
( spl1_4
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f248,f282,f291]) ).
tff(f248,plain,
! [X8: $i,X6: $i,X7: $i] :
( ~ neq(sk4,nil)
| geq(sk5(X8,X7,X6),X6)
| ~ sQ0_eqProxy($i,sk3,app(X7,X8))
| ~ sQ0_eqProxy($i,sk4,app(app(X7,cons(X6,nil)),X8))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f230,f238]) ).
tff(f230,plain,
! [X8: $i,X6: $i,X7: $i] :
( ~ neq(sk4,nil)
| geq(sk5(X8,X7,X6),X6)
| ( sk3 != app(X7,X8) )
| ( sk4 != app(app(X7,cons(X6,nil)),X8) )
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f206,f191,f190]) ).
tff(f206,axiom,
! [X8: $i,X6: $i,X7: $i] :
( ~ neq(sk4,nil)
| geq(sk5(X8,X7,X6),X6)
| ( sk1 != app(X7,X8) )
| ( sk2 != app(app(X7,cons(X6,nil)),X8) )
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).
tff(f328,plain,
( spl1_3
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f247,f282,f287]) ).
tff(f247,plain,
! [X8: $i,X6: $i,X7: $i] :
( ~ neq(sk4,nil)
| memberP(sk4,sk5(X8,X7,X6))
| ~ sQ0_eqProxy($i,sk3,app(X7,X8))
| ~ sQ0_eqProxy($i,sk4,app(app(X7,cons(X6,nil)),X8))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f229,f238]) ).
tff(f229,plain,
! [X8: $i,X6: $i,X7: $i] :
( ~ neq(sk4,nil)
| memberP(sk4,sk5(X8,X7,X6))
| ( sk3 != app(X7,X8) )
| ( sk4 != app(app(X7,cons(X6,nil)),X8) )
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f205,f190,f191,f190]) ).
tff(f205,axiom,
! [X8: $i,X6: $i,X7: $i] :
( ~ neq(sk4,nil)
| memberP(sk2,sk5(X8,X7,X6))
| ( sk1 != app(X7,X8) )
| ( sk2 != app(app(X7,cons(X6,nil)),X8) )
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).
tff(f327,plain,
( spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f246,f282,f279]) ).
tff(f246,plain,
! [X8: $i,X6: $i,X7: $i] :
( ~ neq(sk4,nil)
| ssItem(sk5(X8,X7,X6))
| ~ sQ0_eqProxy($i,sk3,app(X7,X8))
| ~ sQ0_eqProxy($i,sk4,app(app(X7,cons(X6,nil)),X8))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f228,f238]) ).
tff(f228,plain,
! [X8: $i,X6: $i,X7: $i] :
( ~ neq(sk4,nil)
| ssItem(sk5(X8,X7,X6))
| ( sk3 != app(X7,X8) )
| ( sk4 != app(app(X7,cons(X6,nil)),X8) )
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f204,f191,f190]) ).
tff(f204,axiom,
! [X8: $i,X6: $i,X7: $i] :
( ~ neq(sk4,nil)
| ssItem(sk5(X8,X7,X6))
| ( sk1 != app(X7,X8) )
| ( sk2 != app(app(X7,cons(X6,nil)),X8) )
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWC002-1 : TPTP v8.2.0. Released v2.4.0.
% 0.10/0.12 % 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
% 0.11/0.33 % Computer : n007.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Sun May 19 03:35:08 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.11/0.33 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/benchmark/theBenchmark.p
% 0.60/0.83 % (28026)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 (2995ds/34Mi)
% 0.60/0.83 % (28028)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.83 % (28029)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.60/0.83 % (28027)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 (2995ds/51Mi)
% 0.60/0.83 % (28030)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 (2995ds/34Mi)
% 0.60/0.83 % (28032)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 (2995ds/83Mi)
% 0.60/0.83 % (28031)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.83 % (28033)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 (2995ds/56Mi)
% 0.60/0.84 % (28026)First to succeed.
% 0.60/0.84 % (28028)Also succeeded, but the first one will report.
% 0.60/0.84 % (28026)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28025"
% 0.60/0.84 % (28030)Refutation not found, incomplete strategy% (28030)------------------------------
% 0.60/0.84 % (28030)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84 % (28030)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.84
% 0.60/0.84 % (28030)Memory used [KB]: 1286
% 0.60/0.84 % (28030)Time elapsed: 0.008 s
% 0.60/0.84 % (28030)Instructions burned: 13 (million)
% 0.60/0.84 % (28027)Also succeeded, but the first one will report.
% 0.60/0.84 % (28026)Refutation found. Thanks to Tanya!
% 0.60/0.84 % SZS status Unsatisfiable for theBenchmark
% 0.60/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.84 % (28026)------------------------------
% 0.60/0.84 % (28026)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.84 % (28026)Termination reason: Refutation
% 0.60/0.84
% 0.60/0.84 % (28026)Memory used [KB]: 1229
% 0.60/0.84 % (28026)Time elapsed: 0.008 s
% 0.60/0.84 % (28026)Instructions burned: 10 (million)
% 0.60/0.84 % (28025)Success in time 0.498 s
% 0.60/0.84 % Vampire---4.8 exiting
%------------------------------------------------------------------------------