TSTP Solution File: GRP182-3 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP182-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n012.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 11:22:24 EDT 2022

% Result   : Unsatisfiable 80.22s 80.46s
% Output   : Refutation 80.22s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_p17b,negated_conjecture,
    greatest_lower_bound(identity,least_upper_bound(a,identity)) != identity,
    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 != X49
    | X49 != X48
    | X47 = X48 ),
    eq_axiom ).

cnf(c36,plain,
    ( X233 != greatest_lower_bound(X231,X232)
    | X233 = greatest_lower_bound(X232,X231) ),
    inference(resolution,status(thm),[transitivity,symmetry_of_glb]) ).

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

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

cnf(c495,plain,
    greatest_lower_bound(least_upper_bound(X167,X168),X167) = X167,
    inference(resolution,status(thm),[c26,symmetry_of_glb]) ).

cnf(c506,plain,
    ( X1614 != greatest_lower_bound(least_upper_bound(X1612,X1613),X1612)
    | X1614 = X1612 ),
    inference(resolution,status(thm),[c495,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,
    ( X109 != X110
    | X111 != X108
    | greatest_lower_bound(X109,X111) = greatest_lower_bound(X110,X108) ),
    eq_axiom ).

cnf(c236,plain,
    ( X623 != X624
    | greatest_lower_bound(X623,X622) = greatest_lower_bound(X624,X622) ),
    inference(resolution,status(thm),[c2,reflexivity]) ).

cnf(c2696,plain,
    greatest_lower_bound(least_upper_bound(X4430,X4429),X4431) = greatest_lower_bound(least_upper_bound(X4429,X4430),X4431),
    inference(resolution,status(thm),[c236,symmetry_of_lub]) ).

cnf(c154059,plain,
    greatest_lower_bound(least_upper_bound(X4432,X4433),X4433) = X4433,
    inference(resolution,status(thm),[c2696,c506]) ).

cnf(c154369,plain,
    X4435 = greatest_lower_bound(least_upper_bound(X4434,X4435),X4435),
    inference(resolution,status(thm),[c154059,symmetry]) ).

cnf(c154568,plain,
    X4441 = greatest_lower_bound(X4441,least_upper_bound(X4440,X4441)),
    inference(resolution,status(thm),[c154369,c36]) ).

cnf(c154926,plain,
    greatest_lower_bound(X4443,least_upper_bound(X4444,X4443)) = X4443,
    inference(resolution,status(thm),[c154568,symmetry]) ).

cnf(c155056,plain,
    $false,
    inference(resolution,status(thm),[c154926,prove_p17b]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP182-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n012.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  : 600
% 0.13/0.34  % DateTime : Tue Jun 14 11:04:40 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 80.22/80.46  # Version:  1.3
% 80.22/80.46  # SZS status Unsatisfiable
% 80.22/80.46  # SZS output start CNFRefutation
% See solution above
% 80.22/80.46  
% 80.22/80.46  # Initial clauses    : 23
% 80.22/80.46  # Processed clauses  : 1043
% 80.22/80.46  # Factors computed   : 0
% 80.22/80.46  # Resolvents computed: 155449
% 80.22/80.46  # Tautologies deleted: 1
% 80.22/80.46  # Forward subsumed   : 1806
% 80.22/80.46  # Backward subsumed  : 7
% 80.22/80.46  # -------- CPU Time ---------
% 80.22/80.46  # User time          : 79.811 s
% 80.22/80.46  # System time        : 0.291 s
% 80.22/80.46  # Total time         : 80.102 s
%------------------------------------------------------------------------------