TSTP Solution File: SYN209-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN209-1 : 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 : n002.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 19:37:11 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   36 (  10 unt;   0 def)
%            Number of atoms       :   80 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   90 (  46   ~;  40   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   14 (  13 usr;   5 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   42 (  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2427,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1121,f1200,f1518,f1570,f2424]) ).

fof(f2424,plain,
    ( ~ spl0_184
    | ~ spl0_202 ),
    inference(avatar_contradiction_clause,[],[f2423]) ).

fof(f2423,plain,
    ( $false
    | ~ spl0_184
    | ~ spl0_202 ),
    inference(subsumption_resolution,[],[f2421,f369]) ).

fof(f369,axiom,
    ~ s4(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f2421,plain,
    ( s4(b)
    | ~ spl0_184
    | ~ spl0_202 ),
    inference(resolution,[],[f2416,f1593]) ).

fof(f1593,plain,
    l1(b,b),
    inference(resolution,[],[f40,f15]) ).

fof(f15,axiom,
    n0(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).

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

fof(f2416,plain,
    ( ! [X2,X3] :
        ( ~ l1(X2,X3)
        | s4(X2) )
    | ~ spl0_184
    | ~ spl0_202 ),
    inference(subsumption_resolution,[],[f2388,f1821]) ).

fof(f1821,plain,
    ( ! [X0] : l2(X0,X0)
    | ~ spl0_184
    | ~ spl0_202 ),
    inference(resolution,[],[f1731,f19]) ).

fof(f19,axiom,
    ! [X0,X1] : m0(X0,d,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).

fof(f1731,plain,
    ( ! [X3,X11,X6] :
        ( ~ m0(X6,X11,X3)
        | l2(X3,X3) )
    | ~ spl0_184
    | ~ spl0_202 ),
    inference(subsumption_resolution,[],[f1199,f1576]) ).

fof(f1576,plain,
    ( ! [X0] : s1(X0)
    | ~ spl0_184 ),
    inference(resolution,[],[f1120,f17]) ).

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

fof(f1120,plain,
    ( ! [X9,X4] :
        ( ~ q0(X9,X4)
        | s1(X9) )
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f1119]) ).

fof(f1119,plain,
    ( spl0_184
  <=> ! [X9,X4] :
        ( s1(X9)
        | ~ q0(X9,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f1199,plain,
    ( ! [X3,X11,X6] :
        ( ~ m0(X6,X11,X3)
        | ~ s1(X11)
        | l2(X3,X3) )
    | ~ spl0_202 ),
    inference(avatar_component_clause,[],[f1198]) ).

fof(f1198,plain,
    ( spl0_202
  <=> ! [X6,X11,X3] :
        ( l2(X3,X3)
        | ~ s1(X11)
        | ~ m0(X6,X11,X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).

fof(f2388,plain,
    ! [X2,X3] :
      ( ~ l2(X3,X3)
      | ~ l1(X2,X3)
      | s4(X2) ),
    inference(resolution,[],[f337,f284]) ).

fof(f284,axiom,
    ! [X7] :
      ( p3(X7,X7,X7)
      | ~ l2(X7,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_246) ).

fof(f337,axiom,
    ! [X10,X11,X6,X7] :
      ( ~ p3(X11,X6,X7)
      | ~ l1(X10,X6)
      | s4(X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_299) ).

fof(f1570,plain,
    ~ spl0_183,
    inference(avatar_contradiction_clause,[],[f1569]) ).

fof(f1569,plain,
    ( $false
    | ~ spl0_183 ),
    inference(subsumption_resolution,[],[f1566,f1117]) ).

fof(f1117,plain,
    ( ! [X5] : ~ s1(X5)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1116]) ).

fof(f1116,plain,
    ( spl0_183
  <=> ! [X5] : ~ s1(X5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f1566,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(f1518,plain,
    ~ spl0_98,
    inference(avatar_contradiction_clause,[],[f1517]) ).

fof(f1517,plain,
    ( $false
    | ~ spl0_98 ),
    inference(resolution,[],[f761,f14]) ).

fof(f761,plain,
    ( ! [X4] : ~ p0(X4,X4)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f760,plain,
    ( spl0_98
  <=> ! [X4] : ~ p0(X4,X4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1200,plain,
    ( spl0_202
    | spl0_98 ),
    inference(avatar_split_clause,[],[f171,f760,f1198]) ).

fof(f171,axiom,
    ! [X3,X10,X11,X6] :
      ( ~ p0(X10,X10)
      | l2(X3,X3)
      | ~ s1(X11)
      | ~ m0(X6,X11,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_133) ).

fof(f1121,plain,
    ( spl0_183
    | spl0_184 ),
    inference(avatar_split_clause,[],[f164,f1119,f1116]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN209-1 : 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 : n002.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 21:49:14 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.46  % (21900)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.46  % (21908)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49  % (21908)First to succeed.
% 0.19/0.50  % (21908)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (21908)------------------------------
% 0.19/0.50  % (21908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (21908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (21908)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (21908)Memory used [KB]: 6908
% 0.19/0.50  % (21908)Time elapsed: 0.088 s
% 0.19/0.50  % (21908)Instructions burned: 33 (million)
% 0.19/0.50  % (21908)------------------------------
% 0.19/0.50  % (21908)------------------------------
% 0.19/0.50  % (21889)Success in time 0.158 s
%------------------------------------------------------------------------------