TSTP Solution File: SYN660-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN660-1 : 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 : n013.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 19:39:12 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   19 (  10 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  13   ~;  10   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f481,plain,
    $false,
    inference(avatar_sat_refutation,[],[f238,f480]) ).

fof(f480,plain,
    ~ spl6_2,
    inference(avatar_contradiction_clause,[],[f479]) ).

fof(f479,plain,
    ( $false
    | ~ spl6_2 ),
    inference(subsumption_resolution,[],[f447,f240]) ).

fof(f240,plain,
    ( p2(f11(f4(c32),c34),f11(f4(c33),c34))
    | ~ spl6_2 ),
    inference(resolution,[],[f219,f88]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f30,f6]) ).

fof(f6,axiom,
    ! [X4] : p2(X4,X4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).

fof(f30,axiom,
    ! [X31,X4,X32] :
      ( ~ p2(X4,X32)
      | ~ p2(X4,X31)
      | p2(X31,X32) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_30) ).

fof(f219,plain,
    ( p2(f11(f4(c33),c34),f11(f4(c32),c34))
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f217,plain,
    ( spl6_2
  <=> p2(f11(f4(c33),c34),f11(f4(c32),c34)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f447,plain,
    ~ p2(f11(f4(c32),c34),f11(f4(c33),c34)),
    inference(resolution,[],[f144,f19]) ).

fof(f19,axiom,
    ! [X10] : ~ p2(X10,f16(X10,f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_19) ).

fof(f144,plain,
    ! [X0] :
      ( p2(X0,f16(f11(f4(c33),c34),f9(f17(c31))))
      | ~ p2(f11(f4(c32),c34),X0) ),
    inference(resolution,[],[f39,f30]) ).

fof(f39,axiom,
    p2(f11(f4(c32),c34),f16(f11(f4(c33),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_39) ).

fof(f238,plain,
    spl6_2,
    inference(avatar_split_clause,[],[f237,f217]) ).

fof(f237,plain,
    p2(f11(f4(c33),c34),f11(f4(c32),c34)),
    inference(subsumption_resolution,[],[f231,f12]) ).

fof(f12,axiom,
    p25(c33,c36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_12) ).

fof(f231,plain,
    ( ~ p25(c33,c36)
    | p2(f11(f4(c33),c34),f11(f4(c32),c34)) ),
    inference(resolution,[],[f50,f14]) ).

fof(f14,axiom,
    p25(c32,c33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_14) ).

fof(f50,axiom,
    ! [X82] :
      ( ~ p25(c32,X82)
      | p2(f11(f4(X82),c34),f11(f4(c32),c34))
      | ~ p25(X82,c36) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_50) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SYN660-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 30 22:10:32 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.48  % (11142)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.48  % (11150)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.50  % (11142)First to succeed.
% 0.21/0.52  % (11134)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52  % (11142)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (11142)------------------------------
% 0.21/0.52  % (11142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (11142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (11142)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (11142)Memory used [KB]: 5756
% 0.21/0.52  % (11142)Time elapsed: 0.090 s
% 0.21/0.52  % (11142)Instructions burned: 19 (million)
% 0.21/0.52  % (11142)------------------------------
% 0.21/0.52  % (11142)------------------------------
% 0.21/0.52  % (11120)Success in time 0.147 s
%------------------------------------------------------------------------------