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PyRes---1.5.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GRP182-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n006.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 144.26s 144.45s
% Output   : Refutation 144.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   20 (  14 unt;   0 nHn;   7 RR)
%            Number of literals    :   28 (  27 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    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   42 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_p17a,negated_conjecture,
    least_upper_bound(identity,greatest_lower_bound(a,identity)) != identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p17a) ).

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

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

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

cnf(c26,plain,
    ( X161 != least_upper_bound(X163,X162)
    | X161 = least_upper_bound(X162,X163) ),
    inference(resolution,[status(thm)],[transitivity,symmetry_of_lub]) ).

cnf(lub_absorbtion,axiom,
    least_upper_bound(X23,greatest_lower_bound(X23,X24)) = X23,
    file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',lub_absorbtion) ).

cnf(c15,plain,
    X35 = least_upper_bound(X35,greatest_lower_bound(X35,X36)),
    inference(resolution,[status(thm)],[lub_absorbtion,symmetry]) ).

cnf(c475,plain,
    X171 = least_upper_bound(greatest_lower_bound(X171,X170),X171),
    inference(resolution,[status(thm)],[c26,c15]) ).

cnf(c487,plain,
    least_upper_bound(greatest_lower_bound(X178,X179),X178) = X178,
    inference(resolution,[status(thm)],[c475,symmetry]) ).

cnf(c506,plain,
    ( X1637 != least_upper_bound(greatest_lower_bound(X1636,X1635),X1636)
    | X1637 = X1636 ),
    inference(resolution,[status(thm)],[c487,transitivity]) ).

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

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

cnf(c3,axiom,
    ( X118 != X120
    | X117 != X119
    | least_upper_bound(X118,X117) = least_upper_bound(X120,X119) ),
    theory(equality) ).

cnf(c301,plain,
    ( X1099 != X1098
    | least_upper_bound(X1099,X1097) = least_upper_bound(X1098,X1097) ),
    inference(resolution,[status(thm)],[c3,reflexivity]) ).

cnf(c10920,plain,
    least_upper_bound(greatest_lower_bound(X5758,X5760),X5759) = least_upper_bound(greatest_lower_bound(X5760,X5758),X5759),
    inference(resolution,[status(thm)],[c301,symmetry_of_glb]) ).

cnf(c223023,plain,
    least_upper_bound(greatest_lower_bound(X5762,X5761),X5761) = X5761,
    inference(resolution,[status(thm)],[c10920,c506]) ).

cnf(c223385,plain,
    X5767 = least_upper_bound(greatest_lower_bound(X5766,X5767),X5767),
    inference(resolution,[status(thm)],[c223023,symmetry]) ).

cnf(c223747,plain,
    X5770 = least_upper_bound(X5770,greatest_lower_bound(X5769,X5770)),
    inference(resolution,[status(thm)],[c223385,c26]) ).

cnf(c224001,plain,
    least_upper_bound(X5779,greatest_lower_bound(X5780,X5779)) = X5779,
    inference(resolution,[status(thm)],[c223747,symmetry]) ).

cnf(c224079,plain,
    $false,
    inference(resolution,[status(thm)],[c224001,prove_p17a]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP182-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.13/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  9 04:31:08 EDT 2024
% 0.20/0.34  % CPUTime  : 
% 144.26/144.45  % Version:  1.5
% 144.26/144.45  % SZS status Unsatisfiable
% 144.26/144.45  % SZS output start CNFRefutation
% See solution above
% 144.26/144.45  
% 144.26/144.45  % Initial clauses    : 23
% 144.26/144.45  % Processed clauses  : 1325
% 144.26/144.45  % Factors computed   : 4
% 144.26/144.45  % Resolvents computed: 224297
% 144.26/144.45  % Tautologies deleted: 2
% 144.26/144.45  % Forward subsumed   : 2264
% 144.26/144.45  % Backward subsumed  : 17
% 144.26/144.45  % -------- CPU Time ---------
% 144.26/144.45  % User time          : 143.677 s
% 144.26/144.45  % System time        : 0.446 s
% 144.26/144.45  % Total time         : 144.123 s
%------------------------------------------------------------------------------