%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP549-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : 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 : Thu Aug 31 01:25:49 EDT 2023

% Result   : Unsatisfiable 0.22s 0.41s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :    4 (;   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,plain,
    $false,
    inference(subsumption_resolution,[],[f14,f13]) ).

fof(f13,plain,
    identity != sF3,
    inference(backward_demodulation,[],[f11,f12]) ).

fof(f12,plain,
    identity = sF1,
    inference(forward_demodulation,[],[f8,f4]) ).

fof(f4,axiom,
    ! [X0] : identity = divide(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.dCYlPI380O/Vampire---4.8_14357',identity) ).

fof(f8,plain,
    divide(sF0,sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f11,plain,
    sF1 != sF3,
    inference(definition_folding,[],[f6,f10,f9,f9,f8,f7,f7]) ).

fof(f7,plain,
    divide(identity,a1) = sF0,
    introduced(function_definition,[]) ).

fof(f9,plain,
    divide(identity,b1) = sF2,
    introduced(function_definition,[]) ).

fof(f10,plain,
    divide(sF2,sF2) = sF3,
    introduced(function_definition,[]) ).

fof(f6,plain,
    divide(divide(identity,a1),divide(identity,a1)) != divide(divide(identity,b1),divide(identity,b1)),
    inference(definition_unfolding,[],[f5,f2,f3,f2,f3]) ).

fof(f3,axiom,
    ! [X0] : divide(identity,X0) = inverse(X0),
    file('/export/starexec/sandbox2/tmp/tmp.dCYlPI380O/Vampire---4.8_14357',inverse) ).

fof(f2,axiom,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
    file('/export/starexec/sandbox2/tmp/tmp.dCYlPI380O/Vampire---4.8_14357',multiply) ).

fof(f5,axiom,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox2/tmp/tmp.dCYlPI380O/Vampire---4.8_14357',prove_these_axioms_1) ).

fof(f14,plain,
    identity = sF3,
    inference(forward_demodulation,[],[f10,f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP549-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 29 02:10:35 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.15/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.dCYlPI380O/Vampire---4.8_14357
% 0.15/0.37  % (14468)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.40  % (14470)dis+10_40_av=off:bd=preordered:drc=off:nwc=1.3:sp=scramble:tgt=ground_1117 on Vampire---4 for (1117ds/0Mi)
% 0.22/0.40  % (14470)First to succeed.
% 0.22/0.41  % (14470)Refutation found. Thanks to Tanya!
% 0.22/0.41  % SZS status Unsatisfiable for Vampire---4
% 0.22/0.41  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.41  % (14470)------------------------------
% 0.22/0.41  % (14470)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.41  % (14470)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.41  % (14470)Termination reason: Refutation
% 0.22/0.41  
% 0.22/0.41  % (14470)Memory used [KB]: 895
% 0.22/0.41  % (14470)Time elapsed: 0.002 s
% 0.22/0.41  % (14470)------------------------------
% 0.22/0.41  % (14470)------------------------------
% 0.22/0.41  % (14468)Success in time 0.037 s
% 0.22/0.41  % Vampire---4.8 exiting
%------------------------------------------------------------------------------