TSTP Solution File: SEV159^5 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : SEV159^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n026.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 : Mon Jun 24 16:02:04 EDT 2024

% Result   : Theorem 0.12s 0.37s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   10 (   9 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   8   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    8 (   5   !;   3   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    a: $tType ).

tff(func_def_0,type,
    a: $tType ).

tff(func_def_1,type,
    sK0: a ).

tff(f9,plain,
    $false,
    inference(trivial_inequality_removal,[],[f8]) ).

tff(f8,plain,
    sK0 != sK0,
    inference(cnf_transformation,[],[f7]) ).

tff(f7,plain,
    sK0 != sK0,
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f6]) ).

tff(f6,plain,
    ( ? [X0: a] : ( X0 != X0 )
   => ( sK0 != sK0 ) ),
    introduced(choice_axiom,[]) ).

tff(f5,plain,
    ? [X0: a] : ( X0 != X0 ),
    inference(rectify,[],[f4]) ).

tff(f4,plain,
    ? [X1: a] : ( X1 != X1 ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ! [X1: a] : ( X1 = X1 ),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: a,X1: a] : ( X1 = X1 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: a,X1: a] : ( X1 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM181_pme) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SEV159^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.12  % Command    : run_vampire %s %d THM
% 0.12/0.33  % Computer : n026.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   : Fri Jun 21 19:25:09 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.35  This is a TH0_THM_EQU_NAR problem
% 0.12/0.35  Running higher-order theorem proving
% 0.12/0.35  Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.37  % (14315)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.37  % (14315)First to succeed.
% 0.12/0.37  % (14315)Refutation found. Thanks to Tanya!
% 0.12/0.37  % SZS status Theorem for theBenchmark
% 0.12/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.37  % (14315)------------------------------
% 0.12/0.37  % (14315)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.37  % (14315)Termination reason: Refutation
% 0.12/0.37  
% 0.12/0.37  % (14315)Memory used [KB]: 5373
% 0.12/0.37  % (14315)Time elapsed: 0.002 s
% 0.12/0.37  % (14315)------------------------------
% 0.12/0.37  % (14315)------------------------------
% 0.12/0.37  % (14311)Success in time 0.012 s
%------------------------------------------------------------------------------