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PyRes---1.5.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GRP182-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n002.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 : Thu May  9 17:23:24 EDT 2024

% Result   : Unsatisfiable 84.64s 84.81s
% Output   : Refutation 84.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   19 (  12 unt;   0 nHn;   8 RR)
%            Number of literals    :   28 (  27 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   41 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_p17b,negated_conjecture,
    greatest_lower_bound(identity,least_upper_bound(a,identity)) != identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p17b) ).

cnf(symmetry,axiom,
    ( X7 != X6
    | X6 = X7 ),
    theory(equality) ).

cnf(symmetry_of_glb,axiom,
    greatest_lower_bound(X20,X19) = greatest_lower_bound(X19,X20),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_glb) ).

cnf(transitivity,axiom,
    ( X49 != X48
    | X48 != X47
    | X49 = X47 ),
    theory(equality) ).

cnf(c40,plain,
    ( X255 != greatest_lower_bound(X253,X254)
    | X255 = greatest_lower_bound(X254,X253) ),
    inference(resolution,[status(thm)],[transitivity,symmetry_of_glb]) ).

cnf(glb_absorbtion,axiom,
    greatest_lower_bound(X29,least_upper_bound(X29,X28)) = X29,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).

cnf(c39,plain,
    ( X241 != greatest_lower_bound(X242,least_upper_bound(X242,X243))
    | X241 = X242 ),
    inference(resolution,[status(thm)],[transitivity,glb_absorbtion]) ).

cnf(c879,plain,
    greatest_lower_bound(least_upper_bound(X247,X248),X247) = X247,
    inference(resolution,[status(thm)],[c39,symmetry_of_glb]) ).

cnf(c899,plain,
    ( X1731 != greatest_lower_bound(least_upper_bound(X1732,X1730),X1732)
    | X1731 = X1732 ),
    inference(resolution,[status(thm)],[c879,transitivity]) ).

cnf(symmetry_of_lub,axiom,
    least_upper_bound(X22,X21) = least_upper_bound(X21,X22),
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).

cnf(reflexivity,axiom,
    X2 = X2,
    theory(equality) ).

cnf(c2,axiom,
    ( X111 != X108
    | X110 != X109
    | greatest_lower_bound(X111,X110) = greatest_lower_bound(X108,X109) ),
    theory(equality) ).

cnf(c239,plain,
    ( X635 != X633
    | greatest_lower_bound(X635,X634) = greatest_lower_bound(X633,X634) ),
    inference(resolution,[status(thm)],[c2,reflexivity]) ).

cnf(c3063,plain,
    greatest_lower_bound(least_upper_bound(X4400,X4402),X4401) = greatest_lower_bound(least_upper_bound(X4402,X4400),X4401),
    inference(resolution,[status(thm)],[c239,symmetry_of_lub]) ).

cnf(c155012,plain,
    greatest_lower_bound(least_upper_bound(X4404,X4403),X4403) = X4403,
    inference(resolution,[status(thm)],[c3063,c899]) ).

cnf(c155235,plain,
    X4406 = greatest_lower_bound(least_upper_bound(X4405,X4406),X4406),
    inference(resolution,[status(thm)],[c155012,symmetry]) ).

cnf(c155353,plain,
    X4411 = greatest_lower_bound(X4411,least_upper_bound(X4410,X4411)),
    inference(resolution,[status(thm)],[c155235,c40]) ).

cnf(c155795,plain,
    greatest_lower_bound(X4419,least_upper_bound(X4420,X4419)) = X4419,
    inference(resolution,[status(thm)],[c155353,symmetry]) ).

cnf(c156044,plain,
    $false,
    inference(resolution,[status(thm)],[c155795,prove_p17b]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GRP182-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n002.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 : Thu May  9 04:53:38 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 84.64/84.81  % Version:  1.5
% 84.64/84.81  % SZS status Unsatisfiable
% 84.64/84.81  % SZS output start CNFRefutation
% See solution above
% 84.64/84.81  
% 84.64/84.81  % Initial clauses    : 23
% 84.64/84.81  % Processed clauses  : 1041
% 84.64/84.81  % Factors computed   : 4
% 84.64/84.81  % Resolvents computed: 156239
% 84.64/84.81  % Tautologies deleted: 2
% 84.64/84.81  % Forward subsumed   : 1784
% 84.64/84.81  % Backward subsumed  : 7
% 84.64/84.81  % -------- CPU Time ---------
% 84.64/84.81  % User time          : 84.121 s
% 84.64/84.81  % System time        : 0.332 s
% 84.64/84.81  % Total time         : 84.453 s
%------------------------------------------------------------------------------