TSTP Solution File: GRP189-1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP189-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n014.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  : 600s
% DateTime : Sat Jul 16 11:22:28 EDT 2022

% Result   : Unsatisfiable 84.04s 84.26s
% Output   : Refutation 84.04s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_p38b,negated_conjecture,
    greatest_lower_bound(b,least_upper_bound(a,b)) != b,
    input ).

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

cnf(symmetry_of_glb,axiom,
    greatest_lower_bound(X19,X20) = greatest_lower_bound(X20,X19),
    input ).

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

cnf(c35,plain,
    ( X247 != greatest_lower_bound(X248,X246)
    | X247 = greatest_lower_bound(X246,X248) ),
    inference(resolution,status(thm),[transitivity,symmetry_of_glb]) ).

cnf(glb_absorbtion,axiom,
    greatest_lower_bound(X28,least_upper_bound(X28,X29)) = X28,
    input ).

cnf(c30,plain,
    ( X214 != greatest_lower_bound(X215,least_upper_bound(X215,X216))
    | X214 = X215 ),
    inference(resolution,status(thm),[transitivity,glb_absorbtion]) ).

cnf(c754,plain,
    greatest_lower_bound(least_upper_bound(X224,X225),X224) = X224,
    inference(resolution,status(thm),[c30,symmetry_of_glb]) ).

cnf(c776,plain,
    ( X1685 != greatest_lower_bound(least_upper_bound(X1686,X1687),X1686)
    | X1685 = X1686 ),
    inference(resolution,status(thm),[c754,transitivity]) ).

cnf(symmetry_of_lub,axiom,
    least_upper_bound(X21,X22) = least_upper_bound(X22,X21),
    input ).

cnf(reflexivity,axiom,
    X2 = X2,
    eq_axiom ).

cnf(c2,plain,
    ( X108 != X110
    | X109 != X111
    | greatest_lower_bound(X108,X109) = greatest_lower_bound(X110,X111) ),
    eq_axiom ).

cnf(c233,plain,
    ( X621 != X623
    | greatest_lower_bound(X621,X622) = greatest_lower_bound(X623,X622) ),
    inference(resolution,status(thm),[c2,reflexivity]) ).

cnf(c2791,plain,
    greatest_lower_bound(least_upper_bound(X4493,X4495),X4494) = greatest_lower_bound(least_upper_bound(X4495,X4493),X4494),
    inference(resolution,status(thm),[c233,symmetry_of_lub]) ).

cnf(c150622,plain,
    greatest_lower_bound(least_upper_bound(X4496,X4497),X4497) = X4497,
    inference(resolution,status(thm),[c2791,c776]) ).

cnf(c150834,plain,
    X4498 = greatest_lower_bound(least_upper_bound(X4499,X4498),X4498),
    inference(resolution,status(thm),[c150622,symmetry]) ).

cnf(c150967,plain,
    X4504 = greatest_lower_bound(X4504,least_upper_bound(X4503,X4504)),
    inference(resolution,status(thm),[c150834,c35]) ).

cnf(c151374,plain,
    greatest_lower_bound(X4514,least_upper_bound(X4513,X4514)) = X4514,
    inference(resolution,status(thm),[c150967,symmetry]) ).

cnf(c151707,plain,
    $false,
    inference(resolution,status(thm),[c151374,prove_p38b]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP189-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun 14 08:49:06 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 84.04/84.26  # Version:  1.3
% 84.04/84.26  # SZS status Unsatisfiable
% 84.04/84.26  # SZS output start CNFRefutation
% See solution above
% 84.04/84.26  
% 84.04/84.26  # Initial clauses    : 23
% 84.04/84.26  # Processed clauses  : 1053
% 84.04/84.26  # Factors computed   : 0
% 84.04/84.26  # Resolvents computed: 151822
% 84.04/84.26  # Tautologies deleted: 1
% 84.04/84.26  # Forward subsumed   : 1792
% 84.04/84.26  # Backward subsumed  : 11
% 84.04/84.26  # -------- CPU Time ---------
% 84.04/84.26  # User time          : 83.598 s
% 84.04/84.26  # System time        : 0.313 s
% 84.04/84.26  # Total time         : 83.911 s
%------------------------------------------------------------------------------