%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP163-1 : 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_sat --cores 0 -t %d %s

% Computer : n001.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 16:20:37 EDT 2022

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   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    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f77,plain,
    $false,
    inference(subsumption_resolution,[],[f76,f20]) ).

fof(f20,plain,
    a != sF0,
    inference(definition_folding,[],[f18,f19]) ).

fof(f19,plain,
    greatest_lower_bound(a,c) = sF0,
    introduced(function_definition,[]) ).

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

fof(f76,plain,
    a = sF0,
    inference(forward_demodulation,[],[f75,f16]) ).

fof(f16,axiom,
    a = greatest_lower_bound(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_transb_1) ).

fof(f75,plain,
    greatest_lower_bound(a,b) = sF0,
    inference(forward_demodulation,[],[f66,f19]) ).

fof(f66,plain,
    greatest_lower_bound(a,b) = greatest_lower_bound(a,c),
    inference(superposition,[],[f25,f17]) ).

fof(f17,axiom,
    b = greatest_lower_bound(b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_transb_2) ).

fof(f25,plain,
    ! [X12] : greatest_lower_bound(a,greatest_lower_bound(b,X12)) = greatest_lower_bound(a,X12),
    inference(superposition,[],[f6,f16]) ).

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) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : GRP163-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n001.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 22:38:45 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.18/0.48  % (19019)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.48  % (19019)First to succeed.
% 0.18/0.49  % (19036)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.49  % (19024)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (19019)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (19019)------------------------------
% 0.18/0.50  % (19019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (19019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (19019)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (19019)Memory used [KB]: 5500
% 0.18/0.50  % (19019)Time elapsed: 0.102 s
% 0.18/0.50  % (19019)Instructions burned: 5 (million)
% 0.18/0.50  % (19019)------------------------------
% 0.18/0.50  % (19019)------------------------------
% 0.18/0.50  % (19014)Success in time 0.157 s
%------------------------------------------------------------------------------