%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP139-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n009.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 : Wed Aug 31 16:14:33 EDT 2022

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f67,plain,
    $false,
    inference(trivial_inequality_removal,[],[f66]) ).

fof(f66,plain,
    c != c,
    inference(forward_demodulation,[],[f65,f16]) ).

fof(f16,axiom,
    c = greatest_lower_bound(a,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_glb1b_1_1) ).

fof(f65,plain,
    c != greatest_lower_bound(a,c),
    inference(forward_demodulation,[],[f64,f17]) ).

fof(f17,axiom,
    c = greatest_lower_bound(b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_glb1b_2_2) ).

fof(f64,plain,
    c != greatest_lower_bound(a,greatest_lower_bound(b,c)),
    inference(forward_demodulation,[],[f63,f60]) ).

fof(f60,plain,
    ! [X10,X8,X9] : greatest_lower_bound(X8,greatest_lower_bound(X9,X10)) = greatest_lower_bound(X10,greatest_lower_bound(X8,X9)),
    inference(superposition,[],[f4,f6]) ).

fof(f6,axiom,
    ! [X2,X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_glb) ).

fof(f4,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_glb) ).

fof(f63,plain,
    c != greatest_lower_bound(b,greatest_lower_bound(c,a)),
    inference(backward_demodulation,[],[f19,f60]) ).

fof(f19,plain,
    c != greatest_lower_bound(c,greatest_lower_bound(a,b)),
    inference(forward_demodulation,[],[f18,f4]) ).

fof(f18,axiom,
    c != greatest_lower_bound(greatest_lower_bound(a,b),c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ax_glb1b) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : GRP139-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 22:13:50 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.20/0.45  % (24084)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.47  % (24084)First to succeed.
% 0.20/0.48  % (24084)Refutation found. Thanks to Tanya!
% 0.20/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48  % (24084)------------------------------
% 0.20/0.48  % (24084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (24084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (24084)Termination reason: Refutation
% 0.20/0.48  
% 0.20/0.48  % (24084)Memory used [KB]: 5500
% 0.20/0.48  % (24084)Time elapsed: 0.093 s
% 0.20/0.48  % (24084)Instructions burned: 5 (million)
% 0.20/0.48  % (24084)------------------------------
% 0.20/0.48  % (24084)------------------------------
% 0.20/0.48  % (24074)Success in time 0.137 s
%------------------------------------------------------------------------------