%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN083-1 : 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 : n016.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 : Fri Sep  1 03:37:35 EDT 2023

% Result   : Unsatisfiable 0.22s 0.41s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (  17 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :    5 (;   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f41,plain,
    $false,
    inference(subsumption_resolution,[],[f40,f9]) ).

fof(f9,plain,
    sF2 != sF5,
    inference(definition_folding,[],[f2,f8,f7,f6,f5,f4,f3]) ).

fof(f3,plain,
    f(c,d) = sF0,
    introduced(function_definition,[]) ).

fof(f4,plain,
    f(b,sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f5,plain,
    f(a,sF1) = sF2,
    introduced(function_definition,[]) ).

fof(f6,plain,
    f(a,b) = sF3,
    introduced(function_definition,[]) ).

fof(f7,plain,
    f(sF3,c) = sF4,
    introduced(function_definition,[]) ).

fof(f8,plain,
    f(sF4,d) = sF5,
    introduced(function_definition,[]) ).

fof(f2,axiom,
    f(a,f(b,f(c,d))) != f(f(f(a,b),c),d),
    file('/export/starexec/sandbox2/tmp/tmp.NRgAlI0XOf/Vampire---4.8_8269',prove_this) ).

fof(f40,plain,
    sF2 = sF5,
    inference(forward_demodulation,[],[f39,f8]) ).

fof(f39,plain,
    sF2 = f(sF4,d),
    inference(forward_demodulation,[],[f36,f24]) ).

fof(f24,plain,
    sF2 = f(sF3,sF0),
    inference(forward_demodulation,[],[f22,f5]) ).

fof(f22,plain,
    f(a,sF1) = f(sF3,sF0),
    inference(superposition,[],[f12,f4]) ).

fof(f12,plain,
    ! [X5] : f(a,f(b,X5)) = f(sF3,X5),
    inference(superposition,[],[f1,f6]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),X2),
    file('/export/starexec/sandbox2/tmp/tmp.NRgAlI0XOf/Vampire---4.8_8269',f_is_associative) ).

fof(f36,plain,
    f(sF4,d) = f(sF3,sF0),
    inference(superposition,[],[f15,f3]) ).

fof(f15,plain,
    ! [X8] : f(sF3,f(c,X8)) = f(sF4,X8),
    inference(superposition,[],[f1,f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN083-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35  % Computer : n016.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   : Sat Aug 26 17:59:12 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.14/0.35  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.NRgAlI0XOf/Vampire---4.8_8269
% 0.14/0.36  % (8409)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41  % (8417)lrs+10_10_av=off:drc=off:sp=frequency:tgt=ground:stl=62_102 on Vampire---4 for (102ds/0Mi)
% 0.22/0.41  % (8417)First to succeed.
% 0.22/0.41  % (8417)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  % (8417)------------------------------
% 0.22/0.41  % (8417)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.41  % (8417)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.41  % (8417)Termination reason: Refutation
% 0.22/0.41  
% 0.22/0.41  % (8417)Memory used [KB]: 895
% 0.22/0.41  % (8417)Time elapsed: 0.002 s
% 0.22/0.41  % (8417)------------------------------
% 0.22/0.41  % (8417)------------------------------
% 0.22/0.41  % (8409)Success in time 0.054 s
% 0.22/0.41  % Vampire---4.8 exiting
%------------------------------------------------------------------------------