%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP182-3 : 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_sat --cores 0 -t %d %s

% Computer : n007.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 16:20:46 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (  10 unt;   0 def)
%            Number of atoms       :   10 (   9 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   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    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f36,plain,
    $false,
    inference(subsumption_resolution,[],[f35,f19]) ).

fof(f19,plain,
    identity != sF1,
    inference(definition_folding,[],[f16,f18,f17]) ).

fof(f17,plain,
    least_upper_bound(a,identity) = sF0,
    introduced(function_definition,[]) ).

fof(f18,plain,
    greatest_lower_bound(identity,sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f16,axiom,
    identity != greatest_lower_bound(identity,least_upper_bound(a,identity)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p17b) ).

fof(f35,plain,
    identity = sF1,
    inference(backward_demodulation,[],[f18,f33]) ).

fof(f33,plain,
    identity = greatest_lower_bound(identity,sF0),
    inference(superposition,[],[f11,f21]) ).

fof(f21,plain,
    sF0 = least_upper_bound(identity,a),
    inference(superposition,[],[f5,f17]) ).

fof(f5,axiom,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_lub) ).

fof(f11,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',glb_absorbtion) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GRP182-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n007.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 Aug 29 22:06:45 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (26181)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.50  % (26173)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50  % (26173)First to succeed.
% 0.20/0.50  % (26173)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (26173)------------------------------
% 0.20/0.50  % (26173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (26173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (26173)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (26173)Memory used [KB]: 5373
% 0.20/0.50  % (26173)Time elapsed: 0.080 s
% 0.20/0.50  % (26173)Instructions burned: 3 (million)
% 0.20/0.50  % (26173)------------------------------
% 0.20/0.50  % (26173)------------------------------
% 0.20/0.50  % (26154)Success in time 0.148 s
%------------------------------------------------------------------------------