%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP188-1 : 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 : n010.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 16:20:49 EDT 2022

% Result   : Unsatisfiable 0.17s 0.46s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   16 (  16 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   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   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f70,plain,
    $false,
    inference(trivial_inequality_removal,[],[f69]) ).

fof(f69,plain,
    sF0 != sF0,
    inference(superposition,[],[f19,f64]) ).

fof(f64,plain,
    sF0 = sF1,
    inference(superposition,[],[f18,f59]) ).

fof(f59,plain,
    sF0 = least_upper_bound(b,sF0),
    inference(superposition,[],[f5,f44]) ).

fof(f44,plain,
    least_upper_bound(sF0,b) = sF0,
    inference(superposition,[],[f25,f33]) ).

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

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

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

fof(f11,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',glb_absorbtion) ).

fof(f25,plain,
    ! [X2,X1] : least_upper_bound(X1,greatest_lower_bound(X2,X1)) = X1,
    inference(superposition,[],[f10,f4]) ).

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(f10,axiom,
    ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lub_absorbtion) ).

fof(f5,axiom,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_lub) ).

fof(f18,plain,
    sF1 = least_upper_bound(b,sF0),
    introduced(function_definition,[]) ).

fof(f19,plain,
    sF0 != sF1,
    inference(definition_folding,[],[f16,f18,f17,f17]) ).

fof(f16,axiom,
    least_upper_bound(a,b) != least_upper_bound(b,least_upper_bound(a,b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p38a) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : GRP188-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.00/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.31  % Computer : n010.cluster.edu
% 0.13/0.31  % Model    : x86_64 x86_64
% 0.13/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31  % Memory   : 8042.1875MB
% 0.13/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31  % CPULimit   : 300
% 0.13/0.31  % WCLimit    : 300
% 0.13/0.31  % DateTime   : Mon Aug 29 22:30:44 EDT 2022
% 0.17/0.31  % CPUTime    : 
% 0.17/0.46  % (16330)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.46  % (16338)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.46  % (16338)First to succeed.
% 0.17/0.46  % (16338)Refutation found. Thanks to Tanya!
% 0.17/0.46  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.46  % (16338)------------------------------
% 0.17/0.46  % (16338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.46  % (16338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.46  % (16338)Termination reason: Refutation
% 0.17/0.46  
% 0.17/0.46  % (16338)Memory used [KB]: 5373
% 0.17/0.46  % (16338)Time elapsed: 0.098 s
% 0.17/0.46  % (16338)Instructions burned: 3 (million)
% 0.17/0.46  % (16338)------------------------------
% 0.17/0.46  % (16338)------------------------------
% 0.17/0.46  % (16323)Success in time 0.146 s
%------------------------------------------------------------------------------