TSTP Solution File: SYN188-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN188-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Wed Aug 31 19:37:08 EDT 2022

% Result   : Unsatisfiable 0.20s 0.57s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   20 (   6 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   52 (  25   ~;  24   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   4 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2454,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1005,f1387,f1459,f2450]) ).

fof(f2450,plain,
    ( spl0_11
    | ~ spl0_28
    | ~ spl0_154 ),
    inference(avatar_contradiction_clause,[],[f2446]) ).

fof(f2446,plain,
    ( $false
    | spl0_11
    | ~ spl0_28
    | ~ spl0_154 ),
    inference(resolution,[],[f2439,f414]) ).

fof(f414,plain,
    ( ~ r1(e)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f412]) ).

fof(f412,plain,
    ( spl0_11
  <=> r1(e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f2439,plain,
    ( ! [X6] : r1(X6)
    | ~ spl0_28
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2438,f483]) ).

fof(f483,plain,
    ( s0(d)
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f482,plain,
    ( spl0_28
  <=> s0(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f2438,plain,
    ( ! [X6] :
        ( r1(X6)
        | ~ s0(d) )
    | ~ spl0_154 ),
    inference(subsumption_resolution,[],[f2435,f17]) ).

fof(f17,axiom,
    ! [X0] : q0(X0,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).

fof(f2435,plain,
    ( ! [X6] :
        ( ~ q0(X6,d)
        | ~ s0(d)
        | r1(X6) )
    | ~ spl0_154 ),
    inference(resolution,[],[f1004,f144]) ).

fof(f144,axiom,
    ! [X11] :
      ( q1(X11,X11,X11)
      | ~ s0(X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_106) ).

fof(f1004,plain,
    ( ! [X8,X7] :
        ( ~ q1(d,X8,d)
        | r1(X7)
        | ~ q0(X7,X8) )
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1003]) ).

fof(f1003,plain,
    ( spl0_154
  <=> ! [X8,X7] :
        ( ~ q0(X7,X8)
        | r1(X7)
        | ~ q1(d,X8,d) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1459,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f1,f482]) ).

fof(f1,axiom,
    s0(d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f1387,plain,
    ~ spl0_11,
    inference(avatar_split_clause,[],[f369,f412]) ).

fof(f369,axiom,
    ~ r1(e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f1005,plain,
    ( spl0_154
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f162,f482,f1003]) ).

fof(f162,axiom,
    ! [X8,X7] :
      ( ~ s0(d)
      | ~ q0(X7,X8)
      | ~ q1(d,X8,d)
      | r1(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_124) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYN188-1 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n028.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   : Tue Aug 30 21:45:34 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  % (4316)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (4324)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56  % (4324)First to succeed.
% 0.20/0.57  % (4307)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.57  % (4324)Refutation found. Thanks to Tanya!
% 0.20/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57  % (4324)------------------------------
% 0.20/0.57  % (4324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (4324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (4324)Termination reason: Refutation
% 0.20/0.57  
% 0.20/0.57  % (4324)Memory used [KB]: 7036
% 0.20/0.57  % (4324)Time elapsed: 0.110 s
% 0.20/0.57  % (4324)Instructions burned: 33 (million)
% 0.20/0.57  % (4324)------------------------------
% 0.20/0.57  % (4324)------------------------------
% 0.20/0.57  % (4299)Success in time 0.204 s
%------------------------------------------------------------------------------