TSTP Solution File: SYN663-1 by SnakeForV---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN663-1 : 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_uns --cores 0 -t %d %s

% Computer : n017.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 19:28:02 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   28 (   9 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   54 (  28   ~;  23   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f308,plain,
    $false,
    inference(avatar_sat_refutation,[],[f265,f300,f303,f307]) ).

fof(f307,plain,
    spl0_8,
    inference(avatar_contradiction_clause,[],[f305]) ).

fof(f305,plain,
    ( $false
    | spl0_8 ),
    inference(resolution,[],[f299,f11]) ).

fof(f11,axiom,
    p25(c36,c33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_11) ).

fof(f299,plain,
    ( ~ p25(c36,c33)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f297,plain,
    ( spl0_8
  <=> p25(c36,c33) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f303,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f301]) ).

fof(f301,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f273,f13]) ).

fof(f13,axiom,
    p25(c32,c36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25_13) ).

fof(f273,plain,
    ( ~ p25(c32,c36)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f271,plain,
    ( spl0_6
  <=> p25(c32,c36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f300,plain,
    ( ~ spl0_8
    | ~ spl0_6
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f286,f246,f271,f297]) ).

fof(f246,plain,
    ( spl0_3
  <=> p2(f11(f4(c32),c34),f11(f4(c32),c34)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f286,plain,
    ( ~ p2(f11(f4(c32),c34),f11(f4(c32),c34))
    | ~ p25(c32,c36)
    | ~ p25(c36,c33) ),
    inference(resolution,[],[f230,f49]) ).

fof(f49,axiom,
    ! [X81] :
      ( p2(f11(f4(X81),c34),f11(f4(c32),c34))
      | ~ p25(c32,X81)
      | ~ p25(X81,c33) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_49) ).

fof(f230,plain,
    ! [X11] :
      ( ~ p2(f11(f4(c36),c34),X11)
      | ~ p2(f11(f4(c32),c34),X11) ),
    inference(resolution,[],[f206,f40]) ).

fof(f40,axiom,
    p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_40) ).

fof(f206,plain,
    ! [X6,X4,X5] :
      ( ~ p2(X6,f16(X4,f9(f17(c31))))
      | ~ p2(X4,X5)
      | ~ p2(X6,X5) ),
    inference(resolution,[],[f201,f30]) ).

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

fof(f201,plain,
    ! [X0,X1] :
      ( ~ p2(f16(X0,f9(f17(c31))),X1)
      | ~ p2(X0,X1) ),
    inference(resolution,[],[f115,f6]) ).

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

fof(f115,plain,
    ! [X2,X3,X4] :
      ( ~ p2(X4,f9(f17(c31)))
      | ~ p2(X2,X3)
      | ~ p2(f16(X2,X4),X3) ),
    inference(resolution,[],[f48,f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ p2(X0,f16(X1,f9(f17(c31))))
      | ~ p2(X0,X1) ),
    inference(resolution,[],[f30,f19]) ).

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

fof(f48,axiom,
    ! [X80,X78,X79,X77] :
      ( p2(f16(X77,X78),f16(X79,X80))
      | ~ p2(X77,X79)
      | ~ p2(X78,X80) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_48) ).

fof(f265,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f262]) ).

fof(f262,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f248,f6]) ).

fof(f248,plain,
    ( ~ p2(f11(f4(c32),c34),f11(f4(c32),c34))
    | spl0_3 ),
    inference(avatar_component_clause,[],[f246]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN663-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n017.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 21:38:50 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.47  % (32707)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.48  % (32707)First to succeed.
% 0.19/0.48  % (32724)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.49  % (32704)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.49  % (32707)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (32707)------------------------------
% 0.19/0.49  % (32707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (32707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (32707)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (32707)Memory used [KB]: 6012
% 0.19/0.49  % (32707)Time elapsed: 0.076 s
% 0.19/0.49  % (32707)Instructions burned: 14 (million)
% 0.19/0.49  % (32707)------------------------------
% 0.19/0.49  % (32707)------------------------------
% 0.19/0.49  % (32701)Success in time 0.147 s
%------------------------------------------------------------------------------