TSTP Solution File: SWC026-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC026-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n032.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 04:40:41 EDT 2024

% Result   : Unsatisfiable 0.17s 0.36s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   34 (   7 unt;   0 def)
%            Number of atoms       :   65 (  31 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   59 (  28   ~;  26   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   6 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f269,plain,
    $false,
    inference(avatar_sat_refutation,[],[f242,f247,f256,f262,f263,f264,f267,f268]) ).

fof(f268,plain,
    ( spl0_4
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f265,f259,f249,f253]) ).

fof(f253,plain,
    ( spl0_4
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f249,plain,
    ( spl0_3
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f259,plain,
    ( spl0_5
  <=> sk3 = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f265,plain,
    ( nil = sk3
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f251,f260]) ).

fof(f260,plain,
    ( sk3 = sk4
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f251,plain,
    ( nil = sk4
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f267,plain,
    ( ~ spl0_5
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f237,f253,f259]) ).

fof(f237,plain,
    ( nil != sk3
    | sk3 != sk4 ),
    inference(inner_rewriting,[],[f236]) ).

fof(f236,plain,
    ( nil != sk4
    | sk3 != sk4 ),
    inference(inner_rewriting,[],[f200]) ).

fof(f200,plain,
    ( nil != sk4
    | nil != sk3 ),
    inference(definition_unfolding,[],[f197,f190,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f197,axiom,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f264,plain,
    ( spl0_5
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f235,f253,f259]) ).

fof(f235,plain,
    ( nil != sk3
    | sk3 = sk4 ),
    inference(inner_rewriting,[],[f192]) ).

fof(f192,axiom,
    ( nil != sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f263,plain,
    ( spl0_5
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f234,f249,f259]) ).

fof(f234,plain,
    ( nil != sk4
    | sk3 = sk4 ),
    inference(inner_rewriting,[],[f193]) ).

fof(f193,axiom,
    ( nil != sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f262,plain,
    ( ~ spl0_5
    | spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f257,f253,f249,f259]) ).

fof(f257,plain,
    ( sk3 != sk4
    | spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f250,f255]) ).

fof(f255,plain,
    ( nil = sk3
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f250,plain,
    ( nil != sk4
    | spl0_3 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f256,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f203,f253,f249]) ).

fof(f203,plain,
    ( nil = sk3
    | nil = sk4 ),
    inference(definition_unfolding,[],[f194,f191,f190]) ).

fof(f194,axiom,
    ( nil = sk1
    | nil = sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f247,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f189,f244]) ).

fof(f244,plain,
    ( spl0_2
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f242,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f188,f239]) ).

fof(f239,plain,
    ( spl0_1
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SWC026-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33  % Computer : n032.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun May 19 03:35:37 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  % (25085)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.35  % (25088)WARNING: value z3 for option sas not known
% 0.17/0.35  % (25088)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.17/0.35  % (25087)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.35  % (25091)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.17/0.35  % (25086)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.35  % (25089)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.35  % (25090)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.17/0.35  % (25092)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.17/0.36  % (25090)First to succeed.
% 0.17/0.36  % (25090)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25085"
% 0.17/0.36  % (25091)Also succeeded, but the first one will report.
% 0.17/0.36  % (25088)Also succeeded, but the first one will report.
% 0.17/0.36  % (25090)Refutation found. Thanks to Tanya!
% 0.17/0.36  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.36  % (25090)------------------------------
% 0.17/0.36  % (25090)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.36  % (25090)Termination reason: Refutation
% 0.17/0.36  
% 0.17/0.36  % (25090)Memory used [KB]: 1041
% 0.17/0.36  % (25090)Time elapsed: 0.006 s
% 0.17/0.36  % (25090)Instructions burned: 9 (million)
% 0.17/0.36  % (25085)Success in time 0.026 s
%------------------------------------------------------------------------------