TSTP Solution File: NUM019-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM019-1 : TPTP v8.2.0. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n022.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 : Tue May 21 01:47:49 EDT 2024

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   5 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f21,plain,
    $false,
    inference(resolution,[],[f20,f7]) ).

fof(f7,axiom,
    ! [X2] : equalish(X2,X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).

fof(f20,plain,
    ~ equalish(a,a),
    inference(resolution,[],[f14,f10]) ).

fof(f10,axiom,
    equalish(a,aa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_aa) ).

fof(f14,plain,
    ! [X0] :
      ( ~ equalish(X0,aa)
      | ~ equalish(X0,a) ),
    inference(resolution,[],[f8,f11]) ).

fof(f11,axiom,
    ~ equalish(aa,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_equals_a) ).

fof(f8,axiom,
    ! [X2,X3,X4] :
      ( equalish(X3,X4)
      | ~ equalish(X2,X4)
      | ~ equalish(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : NUM019-1 : TPTP v8.2.0. Bugfixed v4.0.0.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n022.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   : Mon May 20 06:27:38 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.36  % (26352)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.39  % (26354)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.39  % (26355)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)
% 0.13/0.39  % (26353)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.39  % (26357)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.39  % (26356)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.39  % (26358)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.39  % (26359)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.39  TRYING [1]
% 0.13/0.39  TRYING [1]
% 0.13/0.39  TRYING [1]
% 0.13/0.39  TRYING [1]
% 0.13/0.39  % (26358)Also succeeded, but the first one will report.
% 0.13/0.39  % (26355)First to succeed.
% 0.13/0.39  % (26357)Also succeeded, but the first one will report.
% 0.13/0.39  % (26355)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26352"
% 0.13/0.39  TRYING [2]
% 0.13/0.39  TRYING [2]
% 0.13/0.39  TRYING [2]
% 0.13/0.39  TRYING [2]
% 0.13/0.39  % (26355)Refutation found. Thanks to Tanya!
% 0.13/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39  % (26355)------------------------------
% 0.13/0.39  % (26355)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39  % (26355)Termination reason: Refutation
% 0.13/0.39  
% 0.13/0.39  % (26355)Memory used [KB]: 765
% 0.13/0.39  % (26355)Time elapsed: 0.005 s
% 0.13/0.39  % (26355)Instructions burned: 2 (million)
% 0.13/0.39  % (26352)Success in time 0.032 s
%------------------------------------------------------------------------------