TSTP Solution File: SYN728-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN728-1 : 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 : n004.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 19:39:23 EDT 2022

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   25 (   2 unt;   0 def)
%            Number of atoms       :   50 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   51 (  26   ~;  21   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f32,plain,
    $false,
    inference(avatar_sat_refutation,[],[f12,f20,f25,f27,f31]) ).

fof(f31,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f30]) ).

fof(f30,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(resolution,[],[f19,f8]) ).

fof(f8,plain,
    ( ! [X0] : p(X0,X0)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f7]) ).

fof(f7,plain,
    ( spl0_1
  <=> ! [X0] : p(X0,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f19,plain,
    ( ! [X1] : ~ p(g(sk2),X1)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f18,plain,
    ( spl0_4
  <=> ! [X1] : ~ p(g(sk2),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f27,plain,
    ( ~ spl0_1
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f26]) ).

fof(f26,plain,
    ( $false
    | ~ spl0_1
    | spl0_3 ),
    inference(subsumption_resolution,[],[f16,f8]) ).

fof(f16,plain,
    ( ~ p(sk2,sk2)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f14]) ).

fof(f14,plain,
    ( spl0_3
  <=> p(sk2,sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f25,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f24]) ).

fof(f24,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f23,f21]) ).

fof(f21,plain,
    ( ! [X0] : q(f(X0,sk1(X0)))
    | ~ spl0_2 ),
    inference(resolution,[],[f11,f3]) ).

fof(f3,axiom,
    ! [X1] :
      ( p(X1,sk1(X1))
      | q(f(X1,sk1(X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm69_3) ).

fof(f11,plain,
    ( ! [X2,X1] : ~ p(X1,X2)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f10]) ).

fof(f10,plain,
    ( spl0_2
  <=> ! [X2,X1] : ~ p(X1,X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f23,plain,
    ( ! [X0] : ~ q(X0)
    | ~ spl0_2 ),
    inference(resolution,[],[f22,f4]) ).

fof(f4,axiom,
    ! [X1] :
      ( ~ m(g(X1))
      | ~ q(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm69_4) ).

fof(f22,plain,
    ( ! [X1] : m(X1)
    | ~ spl0_2 ),
    inference(resolution,[],[f11,f2]) ).

fof(f2,axiom,
    ! [X1] :
      ( p(X1,sk1(X1))
      | m(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm69_2) ).

fof(f20,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f5,f18,f14]) ).

fof(f5,axiom,
    ! [X1] :
      ( ~ p(g(sk2),X1)
      | ~ p(sk2,sk2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm69_5) ).

fof(f12,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1,f10,f7]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ p(X1,X2)
      | p(X0,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm69_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN728-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 22:15:04 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.51  % (20240)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.52  % (20248)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.52  % (20227)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.19/0.52  TRYING [1]
% 0.19/0.52  TRYING [2]
% 0.19/0.52  TRYING [3]
% 0.19/0.52  % (20232)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.19/0.52  % (20250)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.19/0.52  TRYING [4]
% 0.19/0.52  % (20250)First to succeed.
% 0.19/0.52  TRYING [5]
% 0.19/0.52  % (20242)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.19/0.52  % (20251)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/482Mi)
% 0.19/0.52  % (20240)Also succeeded, but the first one will report.
% 0.19/0.52  % (20231)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.53  % (20250)Refutation found. Thanks to Tanya!
% 0.19/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53  % (20250)------------------------------
% 0.19/0.53  % (20250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (20250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53  % (20250)Termination reason: Refutation
% 0.19/0.53  
% 0.19/0.53  % (20250)Memory used [KB]: 5373
% 0.19/0.53  % (20250)Time elapsed: 0.086 s
% 0.19/0.53  % (20250)------------------------------
% 0.19/0.53  % (20250)------------------------------
% 0.19/0.53  % (20226)Success in time 0.177 s
%------------------------------------------------------------------------------