TSTP Solution File: SYN009-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN009-2 : 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 : n024.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 19:25:11 EDT 2022

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   15 (   5 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   47 (  23   ~;  24   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f43,plain,
    $false,
    inference(subsumption_resolution,[],[f42,f7]) ).

fof(f7,axiom,
    t(c,c,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).

fof(f42,plain,
    ~ t(c,c,c),
    inference(subsumption_resolution,[],[f41,f6]) ).

fof(f6,axiom,
    s(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

fof(f41,plain,
    ( ~ s(c)
    | ~ t(c,c,c) ),
    inference(subsumption_resolution,[],[f40,f9]) ).

fof(f9,plain,
    ~ p(c,c,c),
    inference(resolution,[],[f1,f7]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ t(X0,X1,X2)
      | ~ p(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

fof(f40,plain,
    ( p(c,c,c)
    | ~ s(c)
    | ~ t(c,c,c) ),
    inference(resolution,[],[f39,f7]) ).

fof(f39,plain,
    ! [X0] :
      ( ~ t(c,c,X0)
      | p(X0,c,c)
      | ~ s(X0)
      | ~ t(c,X0,c) ),
    inference(resolution,[],[f30,f2]) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( ~ q(X0,X1,X2)
      | ~ t(X1,X2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

fof(f30,plain,
    ! [X0] :
      ( q(c,c,X0)
      | p(X0,c,c)
      | ~ t(c,c,X0)
      | ~ s(X0) ),
    inference(resolution,[],[f24,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ r(X0,X1,X2)
      | ~ t(X2,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

fof(f24,plain,
    ! [X2] :
      ( r(c,X2,c)
      | ~ s(X2)
      | p(X2,c,c)
      | q(c,c,X2) ),
    inference(resolution,[],[f12,f6]) ).

fof(f12,plain,
    ! [X4,X5] :
      ( ~ s(X5)
      | ~ s(X4)
      | p(X4,X5,c)
      | q(X5,c,X4)
      | r(c,X4,X5) ),
    inference(resolution,[],[f8,f6]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( ~ s(X2)
      | ~ s(X0)
      | ~ s(X1)
      | r(X2,X0,X1)
      | q(X1,X2,X0)
      | p(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SYN009-2 : TPTP v8.1.0. Released v2.5.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 21:23:49 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.49  % (3487)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.21/0.50  % (3471)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.21/0.50  % (3471)First to succeed.
% 0.21/0.50  % (3471)Refutation found. Thanks to Tanya!
% 0.21/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50  % (3471)------------------------------
% 0.21/0.50  % (3471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (3471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (3471)Termination reason: Refutation
% 0.21/0.50  
% 0.21/0.50  % (3471)Memory used [KB]: 5756
% 0.21/0.50  % (3471)Time elapsed: 0.094 s
% 0.21/0.50  % (3471)Instructions burned: 3 (million)
% 0.21/0.50  % (3471)------------------------------
% 0.21/0.50  % (3471)------------------------------
% 0.21/0.50  % (3459)Success in time 0.137 s
%------------------------------------------------------------------------------