TSTP Solution File: SET786-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET786-1 : 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 : n005.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 18:25:38 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   3 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (   9   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,plain,
    $false,
    inference(subsumption_resolution,[],[f10,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ element(X1,sk1)
      | ~ element(X0,X1)
      | ~ element(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm25_1) ).

fof(f10,plain,
    element(sk1,sk1),
    inference(resolution,[],[f8,f2]) ).

fof(f2,axiom,
    ! [X1] :
      ( element(X1,sk2(X1))
      | element(X1,sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm25_2) ).

fof(f8,plain,
    ~ element(sk1,sk2(sk1)),
    inference(subsumption_resolution,[],[f6,f1]) ).

fof(f6,plain,
    ( element(sk1,sk1)
    | ~ element(sk1,sk2(sk1)) ),
    inference(resolution,[],[f5,f3]) ).

fof(f3,axiom,
    ! [X1] :
      ( element(sk2(X1),X1)
      | element(X1,sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm25_3) ).

fof(f5,plain,
    ! [X0] :
      ( ~ element(sk2(sk1),X0)
      | ~ element(X0,sk2(sk1)) ),
    inference(subsumption_resolution,[],[f4,f1]) ).

fof(f4,plain,
    ! [X0] :
      ( ~ element(sk2(sk1),X0)
      | ~ element(X0,sk2(sk1))
      | element(sk1,sk1) ),
    inference(resolution,[],[f1,f3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SET786-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % 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 : n005.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 14:19:33 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (29903)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/176Mi)
% 0.20/0.50  % (29895)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.20/0.50  % (29903)First to succeed.
% 0.20/0.51  % (29903)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (29903)------------------------------
% 0.20/0.51  % (29903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (29903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (29903)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (29903)Memory used [KB]: 5373
% 0.20/0.51  % (29903)Time elapsed: 0.103 s
% 0.20/0.51  % (29903)Instructions burned: 2 (million)
% 0.20/0.51  % (29903)------------------------------
% 0.20/0.51  % (29903)------------------------------
% 0.20/0.51  % (29882)Success in time 0.156 s
%------------------------------------------------------------------------------