TSTP Solution File: SYN222-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN222-1 : 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 : n015.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 19:37:13 EDT 2022

% Result   : Unsatisfiable 1.24s 0.52s
% Output   : Refutation 1.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   43 (  10 unt;   0 def)
%            Number of atoms       :   88 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   87 (  42   ~;  37   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   17 (  16 usr;   9 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1725,plain,
    $false,
    inference(avatar_sat_refutation,[],[f890,f1246,f1328,f1398,f1502,f1572,f1598,f1600,f1723]) ).

fof(f1723,plain,
    ( ~ spl0_26
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f1722]) ).

fof(f1722,plain,
    ( $false
    | ~ spl0_26
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1717,f369]) ).

fof(f369,axiom,
    ! [X0] : ~ l3(X0,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f1717,plain,
    ( l3(d,d)
    | ~ spl0_26
    | ~ spl0_128 ),
    inference(resolution,[],[f889,f1634]) ).

fof(f1634,plain,
    ( l1(d,d)
    | ~ spl0_26 ),
    inference(resolution,[],[f40,f475]) ).

fof(f475,plain,
    ( n0(c,d)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f474,plain,
    ( spl0_26
  <=> n0(c,d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f40,axiom,
    ! [X4,X5] :
      ( ~ n0(X5,X4)
      | l1(X4,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).

fof(f889,plain,
    ( ! [X4] :
        ( ~ l1(X4,X4)
        | l3(X4,X4) )
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f888,plain,
    ( spl0_128
  <=> ! [X4] :
        ( ~ l1(X4,X4)
        | l3(X4,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1600,plain,
    ( ~ spl0_126
    | ~ spl0_127 ),
    inference(avatar_contradiction_clause,[],[f1599]) ).

fof(f1599,plain,
    ( $false
    | ~ spl0_126
    | ~ spl0_127 ),
    inference(subsumption_resolution,[],[f881,f886]) ).

fof(f886,plain,
    ( ! [X5] : ~ s2(X5)
    | ~ spl0_127 ),
    inference(avatar_component_clause,[],[f885]) ).

fof(f885,plain,
    ( spl0_127
  <=> ! [X5] : ~ s2(X5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f881,plain,
    ( s2(d)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f880,plain,
    ( spl0_126
  <=> s2(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1598,plain,
    ( spl0_216
    | ~ spl0_275 ),
    inference(avatar_contradiction_clause,[],[f1597]) ).

fof(f1597,plain,
    ( $false
    | spl0_216
    | ~ spl0_275 ),
    inference(subsumption_resolution,[],[f1594,f1245]) ).

fof(f1245,plain,
    ( ~ s1(a)
    | spl0_216 ),
    inference(avatar_component_clause,[],[f1243]) ).

fof(f1243,plain,
    ( spl0_216
  <=> s1(a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).

fof(f1594,plain,
    ( s1(a)
    | ~ spl0_275 ),
    inference(resolution,[],[f1501,f36]) ).

fof(f36,axiom,
    q0(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).

fof(f1501,plain,
    ( ! [X9,X4] :
        ( ~ q0(X9,X4)
        | s1(X9) )
    | ~ spl0_275 ),
    inference(avatar_component_clause,[],[f1500]) ).

fof(f1500,plain,
    ( spl0_275
  <=> ! [X9,X4] :
        ( s1(X9)
        | ~ q0(X9,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).

fof(f1572,plain,
    ~ spl0_212,
    inference(avatar_contradiction_clause,[],[f1571]) ).

fof(f1571,plain,
    ( $false
    | ~ spl0_212 ),
    inference(subsumption_resolution,[],[f1570,f1230]) ).

fof(f1230,plain,
    ( ! [X3] : ~ s1(X3)
    | ~ spl0_212 ),
    inference(avatar_component_clause,[],[f1229]) ).

fof(f1229,plain,
    ( spl0_212
  <=> ! [X3] : ~ s1(X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).

fof(f1570,plain,
    s1(b),
    inference(resolution,[],[f163,f14]) ).

fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

fof(f163,axiom,
    ! [X2] :
      ( ~ p0(X2,X2)
      | s1(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_125) ).

fof(f1502,plain,
    ( spl0_275
    | spl0_212 ),
    inference(avatar_split_clause,[],[f164,f1229,f1500]) ).

fof(f164,axiom,
    ! [X9,X4,X5] :
      ( ~ s1(X5)
      | s1(X9)
      | ~ q0(X9,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_126) ).

fof(f1398,plain,
    spl0_68,
    inference(avatar_split_clause,[],[f1,f640]) ).

fof(f640,plain,
    ( spl0_68
  <=> s0(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

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

fof(f1328,plain,
    spl0_26,
    inference(avatar_split_clause,[],[f34,f474]) ).

fof(f34,axiom,
    n0(c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).

fof(f1246,plain,
    ( spl0_126
    | ~ spl0_68
    | ~ spl0_216 ),
    inference(avatar_split_clause,[],[f228,f1243,f640,f880]) ).

fof(f228,axiom,
    ( ~ s1(a)
    | ~ s0(d)
    | s2(d) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_190) ).

fof(f890,plain,
    ( spl0_127
    | spl0_128 ),
    inference(avatar_split_clause,[],[f258,f888,f885]) ).

fof(f258,axiom,
    ! [X4,X5] :
      ( ~ l1(X4,X4)
      | ~ s2(X5)
      | l3(X4,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_220) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN222-1 : TPTP v8.1.0. Released v1.1.0.
% 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
% 0.12/0.33  % Computer : n015.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   : Tue Aug 30 21:49:36 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (28064)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.49  % (28056)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.24/0.51  % (28064)First to succeed.
% 1.24/0.52  % (28064)Refutation found. Thanks to Tanya!
% 1.24/0.52  % SZS status Unsatisfiable for theBenchmark
% 1.24/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.24/0.52  % (28064)------------------------------
% 1.24/0.52  % (28064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.52  % (28064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.52  % (28064)Termination reason: Refutation
% 1.24/0.52  
% 1.24/0.52  % (28064)Memory used [KB]: 6652
% 1.24/0.52  % (28064)Time elapsed: 0.102 s
% 1.24/0.52  % (28064)Instructions burned: 20 (million)
% 1.24/0.52  % (28064)------------------------------
% 1.24/0.52  % (28064)------------------------------
% 1.24/0.52  % (28045)Success in time 0.176 s
%------------------------------------------------------------------------------