TSTP Solution File: SWC412-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC412-1 : 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 : n019.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 18:41:02 EDT 2022
% Result : Unsatisfiable 1.83s 0.63s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 39
% Syntax : Number of formulae : 132 ( 3 unt; 0 def)
% Number of atoms : 413 ( 59 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 493 ( 212 ~; 266 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 19 ( 17 usr; 16 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f532,plain,
$false,
inference(avatar_sat_refutation,[],[f282,f287,f292,f297,f302,f307,f319,f324,f330,f340,f376,f381,f425,f432,f478,f483,f487,f496,f503,f509,f514,f518,f523,f527,f531]) ).
fof(f531,plain,
( spl0_2
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f530]) ).
fof(f530,plain,
( $false
| spl0_2
| spl0_6 ),
inference(subsumption_resolution,[],[f529,f280]) ).
fof(f280,plain,
( ~ ssItem(sk5)
| spl0_2 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl0_2
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f529,plain,
( ssItem(sk5)
| spl0_6 ),
inference(subsumption_resolution,[],[f208,f300]) ).
fof(f300,plain,
( ~ ssList(sk10)
| spl0_6 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f299,plain,
( spl0_6
<=> ssList(sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f208,axiom,
( ssList(sk10)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_23) ).
fof(f527,plain,
( spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f526]) ).
fof(f526,plain,
( $false
| spl0_2
| spl0_4 ),
inference(subsumption_resolution,[],[f525,f290]) ).
fof(f290,plain,
( ~ ssItem(sk9)
| spl0_4 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl0_4
<=> ssItem(sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f525,plain,
( ssItem(sk9)
| spl0_2 ),
inference(subsumption_resolution,[],[f207,f280]) ).
fof(f207,axiom,
( ssItem(sk5)
| ssItem(sk9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_22) ).
fof(f523,plain,
( spl0_3
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f522]) ).
fof(f522,plain,
( $false
| spl0_3
| spl0_6 ),
inference(subsumption_resolution,[],[f521,f285]) ).
fof(f285,plain,
( ~ ssItem(sk6)
| spl0_3 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f284,plain,
( spl0_3
<=> ssItem(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f521,plain,
( ssItem(sk6)
| spl0_6 ),
inference(subsumption_resolution,[],[f217,f300]) ).
fof(f217,axiom,
( ssList(sk10)
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_32) ).
fof(f518,plain,
( spl0_1
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f517]) ).
fof(f517,plain,
( $false
| spl0_1
| spl0_7 ),
inference(subsumption_resolution,[],[f515,f276]) ).
fof(f276,plain,
( ~ ssItem(sk8)
| spl0_1 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f275,plain,
( spl0_1
<=> ssItem(sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f515,plain,
( ssItem(sk8)
| spl0_7 ),
inference(subsumption_resolution,[],[f220,f305]) ).
fof(f305,plain,
( sk2 != app(app(cons(sk5,nil),cons(sk6,nil)),sk7)
| spl0_7 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f304,plain,
( spl0_7
<=> sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f220,axiom,
( ssItem(sk8)
| sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_35) ).
fof(f514,plain,
( spl0_4
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f513]) ).
fof(f513,plain,
( $false
| spl0_4
| spl0_7 ),
inference(subsumption_resolution,[],[f512,f290]) ).
fof(f512,plain,
( ssItem(sk9)
| spl0_7 ),
inference(subsumption_resolution,[],[f224,f305]) ).
fof(f224,axiom,
( ssItem(sk9)
| sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_39) ).
fof(f509,plain,
( spl0_7
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f508]) ).
fof(f508,plain,
( $false
| spl0_7
| spl0_12 ),
inference(subsumption_resolution,[],[f504,f305]) ).
fof(f504,plain,
( sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7)
| spl0_12 ),
inference(subsumption_resolution,[],[f226,f369]) ).
fof(f369,plain,
( sk2 != app(app(cons(sk8,nil),cons(sk9,nil)),sk10)
| spl0_12 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f368,plain,
( spl0_12
<=> sk2 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f226,axiom,
( sk2 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10)
| sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_41) ).
fof(f503,plain,
( spl0_3
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f502]) ).
fof(f502,plain,
( $false
| spl0_3
| spl0_12 ),
inference(subsumption_resolution,[],[f498,f285]) ).
fof(f498,plain,
( ssItem(sk6)
| spl0_12 ),
inference(subsumption_resolution,[],[f218,f369]) ).
fof(f218,axiom,
( ssItem(sk6)
| sk2 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_33) ).
fof(f496,plain,
( spl0_2
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f495]) ).
fof(f495,plain,
( $false
| spl0_2
| spl0_12 ),
inference(subsumption_resolution,[],[f488,f280]) ).
fof(f488,plain,
( ssItem(sk5)
| spl0_12 ),
inference(subsumption_resolution,[],[f209,f369]) ).
fof(f209,axiom,
( sk2 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_24) ).
fof(f487,plain,
( spl0_5
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f486]) ).
fof(f486,plain,
( $false
| spl0_5
| spl0_12 ),
inference(subsumption_resolution,[],[f484,f369]) ).
fof(f484,plain,
( sk2 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10)
| spl0_5 ),
inference(subsumption_resolution,[],[f223,f295]) ).
fof(f295,plain,
( ~ ssList(sk7)
| spl0_5 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f294,plain,
( spl0_5
<=> ssList(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f223,axiom,
( ssList(sk7)
| sk2 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_38) ).
fof(f483,plain,
( spl0_1
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f482]) ).
fof(f482,plain,
( $false
| spl0_1
| spl0_5 ),
inference(subsumption_resolution,[],[f481,f276]) ).
fof(f481,plain,
( ssItem(sk8)
| spl0_5 ),
inference(subsumption_resolution,[],[f219,f295]) ).
fof(f219,axiom,
( ssItem(sk8)
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_34) ).
fof(f478,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f477]) ).
fof(f477,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f476,f301]) ).
fof(f301,plain,
( ssList(sk10)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f476,plain,
( ~ ssList(sk10)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f475,f277]) ).
fof(f277,plain,
( ssItem(sk8)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f475,plain,
( ~ ssItem(sk8)
| ~ ssList(sk10)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f474,f291]) ).
fof(f291,plain,
( ssItem(sk9)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f474,plain,
( ~ ssItem(sk9)
| ~ ssList(sk10)
| ~ ssItem(sk8)
| ~ spl0_9
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f472]) ).
fof(f472,plain,
( sk2 != sk2
| ~ ssItem(sk8)
| ~ ssList(sk10)
| ~ ssItem(sk9)
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f318,f370]) ).
fof(f370,plain,
( sk2 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f318,plain,
( ! [X8,X6,X7] :
( sk2 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| ~ ssItem(X6)
| ~ ssList(X8)
| ~ ssItem(X7) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f317,plain,
( spl0_9
<=> ! [X6,X8,X7] :
( ~ ssList(X8)
| ~ ssItem(X7)
| sk2 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| ~ ssItem(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f432,plain,
( ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f431,plain,
( $false
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| spl0_14
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f430,f311]) ).
fof(f311,plain,
( ssItem(sk11)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f309,plain,
( spl0_8
<=> ssItem(sk11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f430,plain,
( ~ ssItem(sk11)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| spl0_14
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f429,f338]) ).
fof(f338,plain,
( ssList(sk13)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f336,plain,
( spl0_11
<=> ssList(sk13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f429,plain,
( ~ ssList(sk13)
| ~ ssItem(sk11)
| ~ spl0_10
| ~ spl0_13
| spl0_14
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f428,f323]) ).
fof(f323,plain,
( ssItem(sk12)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f321,plain,
( spl0_10
<=> ssItem(sk12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f428,plain,
( ~ ssItem(sk12)
| ~ ssItem(sk11)
| ~ ssList(sk13)
| ~ spl0_13
| spl0_14
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f427,f380]) ).
fof(f380,plain,
( sk1 != app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| spl0_14 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f378,plain,
( spl0_14
<=> sk1 = app(app(cons(sk12,nil),sk13),cons(sk11,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f427,plain,
( sk1 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ~ ssList(sk13)
| ~ ssItem(sk11)
| ~ ssItem(sk12)
| ~ spl0_13
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f426]) ).
fof(f426,plain,
( ~ ssItem(sk11)
| sk1 = app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ~ ssList(sk13)
| ~ ssItem(sk12)
| sk2 != sk2
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f424,f375]) ).
fof(f375,plain,
( sk2 = app(app(cons(sk11,nil),sk13),cons(sk12,nil))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f373,plain,
( spl0_13
<=> sk2 = app(app(cons(sk11,nil),sk13),cons(sk12,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f424,plain,
( ! [X10,X11,X9] :
( sk2 != app(app(cons(X9,nil),X11),cons(X10,nil))
| ~ ssList(X11)
| ~ ssItem(X9)
| sk1 = app(app(cons(X10,nil),X11),cons(X9,nil))
| ~ ssItem(X10) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f423,plain,
( spl0_15
<=> ! [X9,X11,X10] :
( sk1 = app(app(cons(X10,nil),X11),cons(X9,nil))
| sk2 != app(app(cons(X9,nil),X11),cons(X10,nil))
| ~ ssItem(X10)
| ~ ssList(X11)
| ~ ssItem(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f425,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f421,f423,f317]) ).
fof(f421,plain,
! [X10,X11,X8,X6,X9,X7] :
( sk1 = app(app(cons(X10,nil),X11),cons(X9,nil))
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ ssItem(X9)
| ~ ssList(X11)
| ~ ssList(X8)
| ~ ssItem(X10)
| sk2 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| sk2 != app(app(cons(X9,nil),X11),cons(X10,nil)) ),
inference(forward_demodulation,[],[f420,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f420,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ ssItem(X6)
| sk1 = app(app(cons(X10,nil),X11),cons(X9,nil))
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| sk2 != app(app(cons(X9,nil),X11),cons(X10,nil))
| ~ ssItem(X10)
| ~ ssItem(X7)
| ~ ssItem(X9)
| ~ ssList(X11)
| ~ ssList(X8) ),
inference(forward_demodulation,[],[f419,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f419,plain,
! [X10,X11,X8,X6,X9,X7] :
( sk3 = app(app(cons(X10,nil),X11),cons(X9,nil))
| ~ ssItem(X6)
| ~ ssItem(X7)
| sk2 != app(app(cons(X9,nil),X11),cons(X10,nil))
| ~ ssList(X11)
| ~ ssList(X8)
| ~ ssItem(X9)
| ~ ssItem(X10)
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) ),
inference(forward_demodulation,[],[f192,f190]) ).
fof(f192,axiom,
! [X10,X11,X8,X6,X9,X7] :
( ~ ssList(X8)
| sk4 != app(app(cons(X9,nil),X11),cons(X10,nil))
| ~ ssItem(X10)
| sk3 = app(app(cons(X10,nil),X11),cons(X9,nil))
| ~ ssList(X11)
| ~ ssItem(X9)
| ~ ssItem(X6)
| ~ ssItem(X7)
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f381,plain,
( ~ spl0_14
| spl0_9 ),
inference(avatar_split_clause,[],[f366,f317,f378]) ).
fof(f366,plain,
! [X8,X6,X7] :
( ~ ssList(X8)
| sk1 != app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ~ ssItem(X7)
| ~ ssItem(X6)
| sk2 != app(app(cons(X6,nil),cons(X7,nil)),X8) ),
inference(forward_demodulation,[],[f201,f190]) ).
fof(f201,axiom,
! [X8,X6,X7] :
( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| sk1 != app(app(cons(sk12,nil),sk13),cons(sk11,nil))
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f376,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f365,f317,f373]) ).
fof(f365,plain,
! [X8,X6,X7] :
( ~ ssItem(X6)
| sk2 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| ~ ssList(X8)
| ~ ssItem(X7)
| sk2 = app(app(cons(sk11,nil),sk13),cons(sk12,nil)) ),
inference(forward_demodulation,[],[f200,f190]) ).
fof(f200,axiom,
! [X8,X6,X7] :
( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| ~ ssList(X8)
| ~ ssItem(X6)
| sk2 = app(app(cons(sk11,nil),sk13),cons(sk12,nil))
| ~ ssItem(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f340,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f315,f317,f336]) ).
fof(f315,plain,
! [X8,X6,X7] :
( ~ ssList(X8)
| ssList(sk13)
| ~ ssItem(X6)
| sk2 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| ~ ssItem(X7) ),
inference(forward_demodulation,[],[f199,f190]) ).
fof(f199,axiom,
! [X8,X6,X7] :
( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| ~ ssItem(X7)
| ~ ssList(X8)
| ssList(sk13)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f330,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f329]) ).
fof(f329,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f328,f296]) ).
fof(f296,plain,
( ssList(sk7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f328,plain,
( ~ ssList(sk7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f327,f286]) ).
fof(f286,plain,
( ssItem(sk6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f327,plain,
( ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f326,f281]) ).
fof(f281,plain,
( ssItem(sk5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f326,plain,
( ~ ssItem(sk5)
| ~ ssList(sk7)
| ~ ssItem(sk6)
| ~ spl0_7
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f325]) ).
fof(f325,plain,
( ~ ssItem(sk5)
| ~ ssItem(sk6)
| ~ ssList(sk7)
| sk2 != sk2
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f318,f306]) ).
fof(f306,plain,
( sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f324,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f314,f317,f321]) ).
fof(f314,plain,
! [X8,X6,X7] :
( ~ ssItem(X7)
| sk2 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| ~ ssList(X8)
| ssItem(sk12)
| ~ ssItem(X6) ),
inference(forward_demodulation,[],[f198,f190]) ).
fof(f198,axiom,
! [X8,X6,X7] :
( ~ ssItem(X7)
| ssItem(sk12)
| ~ ssList(X8)
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f319,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f313,f317,f309]) ).
fof(f313,plain,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssItem(X7)
| ssItem(sk11)
| ~ ssItem(X6)
| sk2 != app(app(cons(X6,nil),cons(X7,nil)),X8) ),
inference(forward_demodulation,[],[f197,f190]) ).
fof(f197,axiom,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssItem(X6)
| ~ ssItem(X7)
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| ssItem(sk11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f307,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f225,f304,f299]) ).
fof(f225,axiom,
( sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7)
| ssList(sk10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_40) ).
fof(f302,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f222,f299,f294]) ).
fof(f222,axiom,
( ssList(sk10)
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_37) ).
fof(f297,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f221,f289,f294]) ).
fof(f221,axiom,
( ssItem(sk9)
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_36) ).
fof(f292,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f216,f289,f284]) ).
fof(f216,axiom,
( ssItem(sk9)
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_31) ).
fof(f287,plain,
( spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f215,f275,f284]) ).
fof(f215,axiom,
( ssItem(sk8)
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_30) ).
fof(f282,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f206,f279,f275]) ).
fof(f206,axiom,
( ssItem(sk5)
| ssItem(sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC412-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 18:57:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.58 % (2336)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.58 % (2328)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.59 % (2339)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.22/0.59 % (2328)Instruction limit reached!
% 0.22/0.59 % (2328)------------------------------
% 0.22/0.59 % (2328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.59 % (2328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.59 % (2328)Termination reason: Unknown
% 0.22/0.59 % (2328)Termination phase: Finite model building preprocessing
% 0.22/0.59
% 0.22/0.59 % (2328)Memory used [KB]: 1535
% 0.22/0.59 % (2328)Time elapsed: 0.011 s
% 0.22/0.59 % (2328)Instructions burned: 6 (million)
% 0.22/0.59 % (2328)------------------------------
% 0.22/0.59 % (2328)------------------------------
% 0.22/0.59 % (2324)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.22/0.59 % (2331)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.22/0.60 % (2320)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.60 % (2318)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.22/0.60 % (2315)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.60 % (2315)Instruction limit reached!
% 0.22/0.60 % (2315)------------------------------
% 0.22/0.60 % (2315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.60 % (2315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.60 % (2315)Termination reason: Unknown
% 0.22/0.60 % (2315)Termination phase: Equality proxy
% 0.22/0.60
% 0.22/0.60 % (2315)Memory used [KB]: 1535
% 0.22/0.60 % (2315)Time elapsed: 0.005 s
% 0.22/0.60 % (2315)Instructions burned: 5 (million)
% 0.22/0.60 % (2315)------------------------------
% 0.22/0.60 % (2315)------------------------------
% 0.22/0.60 % (2316)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.22/0.61 % (2319)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.22/0.61 % (2321)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.61 % (2321)Instruction limit reached!
% 0.22/0.61 % (2321)------------------------------
% 0.22/0.61 % (2321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.61 % (2321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.61 % (2321)Termination reason: Unknown
% 0.22/0.61 % (2321)Termination phase: Property scanning
% 0.22/0.61
% 0.22/0.61 % (2321)Memory used [KB]: 1535
% 0.22/0.61 % (2321)Time elapsed: 0.003 s
% 0.22/0.61 % (2321)Instructions burned: 3 (million)
% 0.22/0.61 % (2321)------------------------------
% 0.22/0.61 % (2321)------------------------------
% 0.22/0.61 % (2313)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.22/0.62 % (2314)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.22/0.62 % (2317)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.22/0.62 % (2324)First to succeed.
% 1.83/0.63 % (2341)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.83/0.63 % (2324)Refutation found. Thanks to Tanya!
% 1.83/0.63 % SZS status Unsatisfiable for theBenchmark
% 1.83/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.83/0.63 % (2324)------------------------------
% 1.83/0.63 % (2324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.83/0.63 % (2324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.83/0.63 % (2324)Termination reason: Refutation
% 1.83/0.63
% 1.83/0.63 % (2324)Memory used [KB]: 6268
% 1.83/0.63 % (2324)Time elapsed: 0.124 s
% 1.83/0.63 % (2324)Instructions burned: 17 (million)
% 1.83/0.63 % (2324)------------------------------
% 1.83/0.63 % (2324)------------------------------
% 1.83/0.63 % (2312)Success in time 0.273 s
%------------------------------------------------------------------------------