TSTP Solution File: SWC259-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWC259-1 : 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 : n028.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 05:07:39 EDT 2024

% Result   : Unsatisfiable 0.22s 0.41s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   41 (   7 unt;   0 def)
%            Number of atoms       :   79 (  19 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   55 (  17   ~;  32   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   7 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f306,plain,
    $false,
    inference(avatar_sat_refutation,[],[f257,f263,f272,f280,f297,f305]) ).

fof(f305,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f304]) ).

fof(f304,plain,
    ( $false
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f302,f4]) ).

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

fof(f302,plain,
    ( ~ totalorderedP(nil)
    | ~ spl0_4 ),
    inference(superposition,[],[f192,f271]) ).

fof(f271,plain,
    ( nil = sk1
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f269,plain,
    ( spl0_4
  <=> nil = sk1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f192,axiom,
    ~ totalorderedP(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f297,plain,
    ( ~ spl0_1
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f296]) ).

fof(f296,plain,
    ( $false
    | ~ spl0_1
    | spl0_4 ),
    inference(subsumption_resolution,[],[f295,f252]) ).

fof(f252,plain,
    ( ssItem(sk5)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f250,plain,
    ( spl0_1
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f295,plain,
    ( ~ ssItem(sk5)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f288,f192]) ).

fof(f288,plain,
    ( totalorderedP(sk1)
    | ~ ssItem(sk5)
    | spl0_4 ),
    inference(superposition,[],[f67,f284]) ).

fof(f284,plain,
    ( sk1 = cons(sk5,nil)
    | spl0_4 ),
    inference(forward_demodulation,[],[f283,f191]) ).

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

fof(f283,plain,
    ( sk3 = cons(sk5,nil)
    | spl0_4 ),
    inference(subsumption_resolution,[],[f282,f270]) ).

fof(f270,plain,
    ( nil != sk1
    | spl0_4 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f282,plain,
    ( nil = sk1
    | sk3 = cons(sk5,nil) ),
    inference(forward_demodulation,[],[f203,f191]) ).

fof(f203,axiom,
    ( nil = sk3
    | sk3 = cons(sk5,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

fof(f67,axiom,
    ! [X0] :
      ( totalorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).

fof(f280,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f72,f278,f275]) ).

fof(f275,plain,
    ( spl0_5
  <=> ! [X1] : ssItem(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f278,plain,
    ( spl0_6
  <=> ! [X0] :
        ( ~ ssList(X0)
        | duplicatefreeP(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f72,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | duplicatefreeP(X0)
      | ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f272,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f247,f269,f265]) ).

fof(f265,plain,
    ( spl0_3
  <=> ssList(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f247,plain,
    ( nil = sk1
    | ssList(sk6) ),
    inference(forward_demodulation,[],[f201,f191]) ).

fof(f201,axiom,
    ( ssList(sk6)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

fof(f263,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f262]) ).

fof(f262,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f260,f4]) ).

fof(f260,plain,
    ( ~ totalorderedP(nil)
    | spl0_1 ),
    inference(superposition,[],[f192,f259]) ).

fof(f259,plain,
    ( nil = sk1
    | spl0_1 ),
    inference(subsumption_resolution,[],[f244,f251]) ).

fof(f251,plain,
    ( ~ ssItem(sk5)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f244,plain,
    ( nil = sk1
    | ssItem(sk5) ),
    inference(forward_demodulation,[],[f194,f191]) ).

fof(f194,axiom,
    ( ssItem(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f257,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f243,f254,f250]) ).

fof(f254,plain,
    ( spl0_2
  <=> nil = sk2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f243,plain,
    ( nil = sk2
    | ssItem(sk5) ),
    inference(forward_demodulation,[],[f193,f190]) ).

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

fof(f193,axiom,
    ( ssItem(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SWC259-1 : TPTP v8.2.0. Released v2.4.0.
% 0.08/0.16  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.37  % Computer : n028.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Sun May 19 02:54:23 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  % (32742)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39  % (32745)WARNING: value z3 for option sas not known
% 0.22/0.39  % (32749)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)
% 0.22/0.40  % (32746)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.40  % (32744)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.40  % (32745)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)
% 0.22/0.40  % (32748)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)
% 0.22/0.41  % (32745)First to succeed.
% 0.22/0.41  % (32747)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)
% 0.22/0.41  % (32745)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32742"
% 0.22/0.41  % (32745)Refutation found. Thanks to Tanya!
% 0.22/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41  % (32745)------------------------------
% 0.22/0.41  % (32745)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.41  % (32745)Termination reason: Refutation
% 0.22/0.41  
% 0.22/0.41  % (32745)Memory used [KB]: 1123
% 0.22/0.41  % (32745)Time elapsed: 0.012 s
% 0.22/0.41  % (32745)Instructions burned: 16 (million)
% 0.22/0.41  % (32742)Success in time 0.022 s
%------------------------------------------------------------------------------