TSTP Solution File: SEU163+3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU163+3 : TPTP v8.1.0. Released v3.2.0.
% 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 : 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 18:32:15 EDT 2022

% Result   : Theorem 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   19 (   9   ~;   2   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   14 (  10   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f29,plain,
    $false,
    inference(subsumption_resolution,[],[f28,f22]) ).

fof(f22,plain,
    in(sK1,sK2),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ( in(sK1,sK2)
    & ~ subset(sK1,union(sK2)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f12,f15]) ).

fof(f15,plain,
    ( ? [X0,X1] :
        ( in(X0,X1)
        & ~ subset(X0,union(X1)) )
   => ( in(sK1,sK2)
      & ~ subset(sK1,union(sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f12,plain,
    ? [X0,X1] :
      ( in(X0,X1)
      & ~ subset(X0,union(X1)) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,negated_conjecture,
    ~ ! [X1,X0] :
        ( in(X0,X1)
       => subset(X0,union(X1)) ),
    inference(negated_conjecture,[],[f5]) ).

fof(f5,conjecture,
    ! [X1,X0] :
      ( in(X0,X1)
     => subset(X0,union(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t92_zfmisc_1) ).

fof(f28,plain,
    ~ in(sK1,sK2),
    inference(resolution,[],[f24,f21]) ).

fof(f21,plain,
    ~ subset(sK1,union(sK2)),
    inference(cnf_transformation,[],[f16]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( subset(X0,union(X1))
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | subset(X0,union(X1)) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => subset(X0,union(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l50_zfmisc_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SEU163+3 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 14:46:49 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (5650)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.20/0.49  % (5650)First to succeed.
% 0.20/0.49  % (5650)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Theorem for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (5650)------------------------------
% 0.20/0.49  % (5650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (5650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (5650)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (5650)Memory used [KB]: 5373
% 0.20/0.49  % (5650)Time elapsed: 0.073 s
% 0.20/0.49  % (5650)Instructions burned: 1 (million)
% 0.20/0.49  % (5650)------------------------------
% 0.20/0.49  % (5650)------------------------------
% 0.20/0.49  % (5642)Success in time 0.136 s
%------------------------------------------------------------------------------