TSTP Solution File: SYN009-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN009-2 : TPTP v8.1.0. Released v2.5.0.
% 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 : n021.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 19:36:33 EDT 2022

% Result   : Unsatisfiable 0.18s 0.47s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   25 (   7 unt;   0 def)
%            Number of atoms       :   56 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   59 (  28   ~;  28   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   4 prp; 0-3 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f33,plain,
    $false,
    inference(avatar_sat_refutation,[],[f25,f27,f29,f32]) ).

fof(f32,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f31]) ).

fof(f31,plain,
    ( $false
    | ~ spl0_1 ),
    inference(resolution,[],[f30,f7]) ).

fof(f7,axiom,
    t(c,c,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).

fof(f30,plain,
    ( ~ t(c,c,c)
    | ~ spl0_1 ),
    inference(resolution,[],[f16,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( ~ q(X0,X1,X2)
      | ~ t(X1,X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

fof(f16,plain,
    ( q(c,c,c)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f14]) ).

fof(f14,plain,
    ( spl0_1
  <=> q(c,c,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f29,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f28]) ).

fof(f28,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f20,f9]) ).

fof(f9,plain,
    ~ p(c,c,c),
    inference(resolution,[],[f1,f7]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ t(X0,X1,X2)
      | ~ p(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

fof(f20,plain,
    ( p(c,c,c)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f18,plain,
    ( spl0_2
  <=> p(c,c,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f27,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f26]) ).

fof(f26,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f24,f6]) ).

fof(f6,axiom,
    s(c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).

fof(f24,plain,
    ( ~ s(c)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f22]) ).

fof(f22,plain,
    ( spl0_3
  <=> s(c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f25,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f12,f22,f18,f14]) ).

fof(f12,plain,
    ( ~ s(c)
    | p(c,c,c)
    | q(c,c,c) ),
    inference(duplicate_literal_removal,[],[f11]) ).

fof(f11,plain,
    ( p(c,c,c)
    | ~ s(c)
    | ~ s(c)
    | q(c,c,c)
    | ~ s(c) ),
    inference(resolution,[],[f10,f7]) ).

fof(f10,plain,
    ! [X2,X0,X1] :
      ( ~ t(X0,X1,X2)
      | p(X2,X0,X1)
      | ~ s(X0)
      | ~ s(X1)
      | ~ s(X2)
      | q(X0,X1,X2) ),
    inference(resolution,[],[f8,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ r(X0,X1,X2)
      | ~ t(X2,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( r(X2,X0,X1)
      | ~ s(X1)
      | ~ s(X2)
      | ~ s(X0)
      | p(X0,X1,X2)
      | q(X1,X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN009-2 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.32  % Computer : n021.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Aug 30 21:17:41 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  % (31099)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.46  % (31114)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.18/0.46  % (31109)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.18/0.47  % (31099)First to succeed.
% 0.18/0.47  % (31099)Refutation found. Thanks to Tanya!
% 0.18/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47  % (31099)------------------------------
% 0.18/0.47  % (31099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47  % (31099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47  % (31099)Termination reason: Refutation
% 0.18/0.47  
% 0.18/0.47  % (31099)Memory used [KB]: 5373
% 0.18/0.47  % (31099)Time elapsed: 0.104 s
% 0.18/0.47  % (31099)Instructions burned: 1 (million)
% 0.18/0.47  % (31099)------------------------------
% 0.18/0.47  % (31099)------------------------------
% 0.18/0.47  % (31095)Success in time 0.137 s
%------------------------------------------------------------------------------