TSTP Solution File: SWC405-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC405-1 : 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 : n004.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 05:15:16 EDT 2024

% Result   : Unsatisfiable 0.13s 0.38s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   34
% Syntax   : Number of formulae    :   59 (  37 unt;   0 def)
%            Number of atoms       :   93 (   2 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   55 (  21   ~;  18   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   28 (  26 usr;  17 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f311,plain,
    $false,
    inference(avatar_sat_refutation,[],[f235,f240,f245,f250,f255,f259,f263,f269,f274,f279,f284,f289,f294,f299,f304,f309,f310]) ).

fof(f310,plain,
    ( spl0_4
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f264,f257,f252,f232,f247]) ).

fof(f247,plain,
    ( spl0_4
  <=> memberP(sk4,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f232,plain,
    ( spl0_1
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f252,plain,
    ( spl0_5
  <=> memberP(sk3,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f257,plain,
    ( spl0_6
  <=> ! [X6] :
        ( ~ ssItem(X6)
        | ~ memberP(sk3,X6)
        | memberP(sk4,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f264,plain,
    ( ~ ssItem(sk5)
    | memberP(sk4,sk5)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(resolution,[],[f258,f254]) ).

fof(f254,plain,
    ( memberP(sk3,sk5)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f258,plain,
    ( ! [X6] :
        ( ~ memberP(sk3,X6)
        | ~ ssItem(X6)
        | memberP(sk4,X6) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f309,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f9,f306]) ).

fof(f306,plain,
    ( spl0_16
  <=> ssItem(skac3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f9,axiom,
    ssItem(skac3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).

fof(f304,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f8,f301]) ).

fof(f301,plain,
    ( spl0_15
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f299,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f7,f296]) ).

fof(f296,plain,
    ( spl0_14
  <=> cyclefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f7,axiom,
    cyclefreeP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).

fof(f294,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f6,f291]) ).

fof(f291,plain,
    ( spl0_13
  <=> totalorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f6,axiom,
    totalorderP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).

fof(f289,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f5,f286]) ).

fof(f286,plain,
    ( spl0_12
  <=> strictorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f5,axiom,
    strictorderP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).

fof(f284,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f4,f281]) ).

fof(f281,plain,
    ( spl0_11
  <=> totalorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f4,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).

fof(f279,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f3,f276]) ).

fof(f276,plain,
    ( spl0_10
  <=> strictorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f3,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).

fof(f274,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f2,f271]) ).

fof(f271,plain,
    ( spl0_9
  <=> duplicatefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f2,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f269,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f1,f266]) ).

fof(f266,plain,
    ( spl0_8
  <=> equalelemsP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

fof(f263,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f193,f261]) ).

fof(f261,plain,
    ( spl0_7
  <=> ! [X6] :
        ( ~ ssItem(X6)
        | ~ memberP(sk4,X6)
        | memberP(sk3,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f193,axiom,
    ! [X6] :
      ( ~ ssItem(X6)
      | ~ memberP(sk4,X6)
      | memberP(sk3,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f259,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f192,f257]) ).

fof(f192,axiom,
    ! [X6] :
      ( ~ ssItem(X6)
      | ~ memberP(sk3,X6)
      | memberP(sk4,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f255,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f200,f252]) ).

fof(f200,plain,
    memberP(sk3,sk5),
    inference(definition_unfolding,[],[f195,f191]) ).

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

fof(f195,axiom,
    memberP(sk1,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f250,plain,
    ~ spl0_4,
    inference(avatar_split_clause,[],[f199,f247]) ).

fof(f199,plain,
    ~ memberP(sk4,sk5),
    inference(definition_unfolding,[],[f196,f190]) ).

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

fof(f196,axiom,
    ~ memberP(sk2,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f245,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f198,f242]) ).

fof(f242,plain,
    ( spl0_3
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f198,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

fof(f240,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f197,f237]) ).

fof(f237,plain,
    ( spl0_2
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f197,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f235,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f194,f232]) ).

fof(f194,axiom,
    ssItem(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC405-1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 03:37:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (8819)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (8822)WARNING: value z3 for option sas not known
% 0.13/0.37  % (8823)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37  % (8821)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37  % (8824)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)
% 0.13/0.37  % (8825)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)
% 0.13/0.37  % (8822)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)
% 0.13/0.37  % (8820)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37  % (8826)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)
% 0.13/0.38  % (8824)First to succeed.
% 0.13/0.38  % (8824)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8819"
% 0.13/0.38  % (8825)Also succeeded, but the first one will report.
% 0.13/0.38  % (8824)Refutation found. Thanks to Tanya!
% 0.13/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38  % (8824)------------------------------
% 0.13/0.38  % (8824)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38  % (8824)Termination reason: Refutation
% 0.13/0.38  
% 0.13/0.38  % (8824)Memory used [KB]: 1049
% 0.13/0.38  % (8824)Time elapsed: 0.007 s
% 0.13/0.38  % (8824)Instructions burned: 10 (million)
% 0.13/0.38  % (8819)Success in time 0.017 s
%------------------------------------------------------------------------------