%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GRP143-1 : 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 17:23:17 EDT 2024

% Result   : Unsatisfiable 2.54s 2.75s
% Output   : Refutation 2.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   19 (  13 unt;   0 nHn;   7 RR)
%            Number of literals    :   27 (  26 equ;   9 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    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   39 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_ax_glb2b,negated_conjecture,
    greatest_lower_bound(greatest_lower_bound(a,b),a) != greatest_lower_bound(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ax_glb2b) ).

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

cnf(associativity_of_glb,axiom,
    greatest_lower_bound(X26,greatest_lower_bound(X25,X27)) = greatest_lower_bound(greatest_lower_bound(X26,X25),X27),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',associativity_of_glb) ).

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

cnf(c30,plain,
    ( X203 != greatest_lower_bound(X205,greatest_lower_bound(X204,X202))
    | X203 = greatest_lower_bound(greatest_lower_bound(X205,X204),X202) ),
    inference(resolution,[status(thm)],[transitivity,associativity_of_glb]) ).

cnf(symmetry_of_glb,axiom,
    greatest_lower_bound(X20,X19) = greatest_lower_bound(X19,X20),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',symmetry_of_glb) ).

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

cnf(idempotence_of_gld,axiom,
    greatest_lower_bound(X4,X4) = X4,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',idempotence_of_gld) ).

cnf(c6,plain,
    X11 = greatest_lower_bound(X11,X11),
    inference(resolution,[status(thm)],[symmetry,idempotence_of_gld]) ).

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

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

cnf(c242,plain,
    ( X635 != X636
    | greatest_lower_bound(X635,X637) = greatest_lower_bound(X636,X637) ),
    inference(resolution,[status(thm)],[c2,reflexivity]) ).

cnf(c3054,plain,
    greatest_lower_bound(X647,X648) = greatest_lower_bound(greatest_lower_bound(X647,X647),X648),
    inference(resolution,[status(thm)],[c242,c6]) ).

cnf(c3223,plain,
    greatest_lower_bound(X678,X679) = greatest_lower_bound(X679,greatest_lower_bound(X678,X678)),
    inference(resolution,[status(thm)],[c3054,c40]) ).

cnf(c3489,plain,
    greatest_lower_bound(X725,X724) = greatest_lower_bound(greatest_lower_bound(X724,X725),X725),
    inference(resolution,[status(thm)],[c3223,c30]) ).

cnf(c3783,plain,
    greatest_lower_bound(X795,X796) = greatest_lower_bound(X795,greatest_lower_bound(X796,X795)),
    inference(resolution,[status(thm)],[c3489,c40]) ).

cnf(c4680,plain,
    greatest_lower_bound(X872,X871) = greatest_lower_bound(greatest_lower_bound(X872,X871),X872),
    inference(resolution,[status(thm)],[c3783,c30]) ).

cnf(c6282,plain,
    greatest_lower_bound(greatest_lower_bound(X937,X936),X937) = greatest_lower_bound(X937,X936),
    inference(resolution,[status(thm)],[c4680,symmetry]) ).

cnf(c7518,plain,
    $false,
    inference(resolution,[status(thm)],[c6282,prove_ax_glb2b]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GRP143-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n002.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May  9 03:30:53 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 2.54/2.75  % Version:  1.5
% 2.54/2.75  % SZS status Unsatisfiable
% 2.54/2.75  % SZS output start CNFRefutation
% See solution above
% 2.54/2.75  
% 2.54/2.75  % Initial clauses    : 23
% 2.54/2.75  % Processed clauses  : 261
% 2.54/2.75  % Factors computed   : 4
% 2.54/2.75  % Resolvents computed: 7741
% 2.54/2.75  % Tautologies deleted: 2
% 2.54/2.75  % Forward subsumed   : 313
% 2.54/2.75  % Backward subsumed  : 3
% 2.54/2.75  % -------- CPU Time ---------
% 2.54/2.75  % User time          : 2.350 s
% 2.54/2.75  % System time        : 0.034 s
% 2.54/2.75  % Total time         : 2.384 s
%------------------------------------------------------------------------------