↑ Up

PyRes---1.5.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : GRP144-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n017.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 136.44s 136.62s
% Output   : Refutation 136.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   14 (   9 unt;   0 nHn;   6 RR)
%            Number of literals    :   21 (  20 equ;   8 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   :   30 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_ax_glb3a,negated_conjecture,
    least_upper_bound(greatest_lower_bound(a,b),b) != b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ax_glb3a) ).

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

cnf(symmetry_of_lub,axiom,
    least_upper_bound(X21,X22) = least_upper_bound(X22,X21),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',symmetry_of_lub) ).

cnf(lub_absorbtion,axiom,
    least_upper_bound(X23,greatest_lower_bound(X23,X24)) = X23,
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',lub_absorbtion) ).

cnf(c25,plain,
    ( X165 != least_upper_bound(X166,greatest_lower_bound(X166,X164))
    | X165 = X166 ),
    inference(resolution,[status(thm)],[transitivity,lub_absorbtion]) ).

cnf(c459,plain,
    least_upper_bound(greatest_lower_bound(X169,X168),X169) = X169,
    inference(resolution,[status(thm)],[c25,symmetry_of_lub]) ).

cnf(c475,plain,
    ( X1693 != least_upper_bound(greatest_lower_bound(X1692,X1694),X1692)
    | X1693 = X1692 ),
    inference(resolution,[status(thm)],[c459,transitivity]) ).

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

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

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

cnf(c305,plain,
    ( X1098 != X1097
    | least_upper_bound(X1098,X1099) = least_upper_bound(X1097,X1099) ),
    inference(resolution,[status(thm)],[c3,reflexivity]) ).

cnf(c10919,plain,
    least_upper_bound(greatest_lower_bound(X5558,X5559),X5560) = least_upper_bound(greatest_lower_bound(X5559,X5558),X5560),
    inference(resolution,[status(thm)],[c305,symmetry_of_glb]) ).

cnf(c222283,plain,
    least_upper_bound(greatest_lower_bound(X5561,X5562),X5562) = X5562,
    inference(resolution,[status(thm)],[c10919,c475]) ).

cnf(c222609,plain,
    $false,
    inference(resolution,[status(thm)],[c222283,prove_ax_glb3a]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GRP144-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.12/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n017.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 03:31:53 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 136.44/136.62  % Version:  1.5
% 136.44/136.62  % SZS status Unsatisfiable
% 136.44/136.62  % SZS output start CNFRefutation
% See solution above
% 136.44/136.62  
% 136.44/136.62  % Initial clauses    : 23
% 136.44/136.62  % Processed clauses  : 1291
% 136.44/136.62  % Factors computed   : 4
% 136.44/136.62  % Resolvents computed: 222653
% 136.44/136.62  % Tautologies deleted: 2
% 136.44/136.62  % Forward subsumed   : 2137
% 136.44/136.62  % Backward subsumed  : 13
% 136.44/136.62  % -------- CPU Time ---------
% 136.44/136.62  % User time          : 135.772 s
% 136.44/136.62  % System time        : 0.492 s
% 136.44/136.62  % Total time         : 136.264 s
%------------------------------------------------------------------------------