TSTP Solution File: GRP007-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP007-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n031.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 : Thu Aug 31 01:20:18 EDT 2023

% Result   : Unsatisfiable 0.22s 0.40s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   5 unt;   0 def)
%            Number of atoms       :   10 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    7 (   4   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    8 (;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f36,plain,
    $false,
    inference(subsumption_resolution,[],[f11,f33]) ).

fof(f33,plain,
    identity = c,
    inference(resolution,[],[f16,f2]) ).

fof(f2,axiom,
    ! [X0] : product(X0,identity,X0),
    file('/export/starexec/sandbox/tmp/tmp.jUOgUmdTp0/Vampire---4.8_3680',right_identity) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ product(c,X0,X1)
      | X0 = X1 ),
    inference(resolution,[],[f6,f9]) ).

fof(f9,axiom,
    ! [X6] : product(c,X6,X6),
    file('/export/starexec/sandbox/tmp/tmp.jUOgUmdTp0/Vampire---4.8_3680',another_left_identity) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ product(X0,X1,X3)
      | ~ product(X0,X1,X2)
      | X2 = X3 ),
    file('/export/starexec/sandbox/tmp/tmp.jUOgUmdTp0/Vampire---4.8_3680',total_function2) ).

fof(f11,axiom,
    identity != c,
    file('/export/starexec/sandbox/tmp/tmp.jUOgUmdTp0/Vampire---4.8_3680',prove_identity_equals_c) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GRP007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36  % Computer : n031.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Mon Aug 28 23:50:40 EDT 2023
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.16/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.jUOgUmdTp0/Vampire---4.8_3680
% 0.16/0.37  % (3952)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.40  % (3960)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.22/0.40  % (3960)First to succeed.
% 0.22/0.40  % (3960)Refutation found. Thanks to Tanya!
% 0.22/0.40  % SZS status Unsatisfiable for Vampire---4
% 0.22/0.40  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.40  % (3960)------------------------------
% 0.22/0.40  % (3960)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.40  % (3960)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.40  % (3960)Termination reason: Refutation
% 0.22/0.40  
% 0.22/0.40  % (3960)Memory used [KB]: 895
% 0.22/0.40  % (3960)Time elapsed: 0.002 s
% 0.22/0.40  % (3960)------------------------------
% 0.22/0.40  % (3960)------------------------------
% 0.22/0.40  % (3952)Success in time 0.037 s
% 0.22/0.40  % Vampire---4.8 exiting
%------------------------------------------------------------------------------