TSTP Solution File: SET055-7 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET055-7 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n027.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 : Sun May  5 09:10:47 EDT 2024

% Result   : Unsatisfiable 0.22s 0.38s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  12   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f602,plain,
    $false,
    inference(resolution,[],[f581,f518]) ).

fof(f518,plain,
    ! [X0] : ~ equalish(X0,x),
    inference(duplicate_literal_removal,[],[f516]) ).

fof(f516,plain,
    ! [X0] :
      ( ~ equalish(X0,x)
      | ~ equalish(X0,x) ),
    inference(resolution,[],[f502,f1]) ).

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

fof(f502,plain,
    ! [X0] :
      ( ~ equalish(X0,x)
      | ~ equalish(x,X0) ),
    inference(resolution,[],[f2,f165]) ).

fof(f165,axiom,
    ~ equalish(x,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_reflexivity) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( equalish(X0,X2)
      | ~ equalish(X1,X2)
      | ~ equalish(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).

fof(f581,plain,
    ! [X0] : equalish(X0,X0),
    inference(resolution,[],[f546,f163]) ).

fof(f163,axiom,
    ! [X0] : subclass(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_is_reflexive) ).

fof(f546,plain,
    ! [X0] :
      ( ~ subclass(X0,X0)
      | equalish(X0,X0) ),
    inference(resolution,[],[f74,f163]) ).

fof(f74,axiom,
    ! [X0,X1] :
      ( ~ subclass(X1,X0)
      | ~ subclass(X0,X1)
      | equalish(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET055-7 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n027.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   : Fri May  3 16:22:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (3647)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.37  % (3650)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.22/0.38  % (3650)First to succeed.
% 0.22/0.38  % (3650)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3647"
% 0.22/0.38  % (3648)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38  % (3649)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38  % (3650)Refutation found. Thanks to Tanya!
% 0.22/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.38  % (3650)------------------------------
% 0.22/0.38  % (3650)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38  % (3650)Termination reason: Refutation
% 0.22/0.38  
% 0.22/0.38  % (3650)Memory used [KB]: 1110
% 0.22/0.38  % (3650)Time elapsed: 0.007 s
% 0.22/0.38  % (3650)Instructions burned: 20 (million)
% 0.22/0.38  % (3647)Success in time 0.022 s
%------------------------------------------------------------------------------