%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP144-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n007.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 11:22:12 EDT 2022

% Result   : Unsatisfiable 137.86s 138.09s
% Output   : Refutation 137.86s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_ax_glb3a,negated_conjecture,
    least_upper_bound(greatest_lower_bound(a,b),b) != b,
    input ).

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

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

cnf(lub_absorbtion,axiom,
    least_upper_bound(X23,greatest_lower_bound(X23,X24)) = X23,
    input ).

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

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

cnf(c35,plain,
    ( X220 != least_upper_bound(X222,X221)
    | X220 = least_upper_bound(X221,X222) ),
    inference(resolution,status(thm),[transitivity,symmetry_of_lub]) ).

cnf(c805,plain,
    X230 = least_upper_bound(greatest_lower_bound(X230,X229),X230),
    inference(resolution,status(thm),[c35,c15]) ).

cnf(c808,plain,
    least_upper_bound(greatest_lower_bound(X237,X238),X237) = X237,
    inference(resolution,status(thm),[c805,symmetry]) ).

cnf(c851,plain,
    ( X1715 != least_upper_bound(greatest_lower_bound(X1716,X1717),X1716)
    | X1715 = X1716 ),
    inference(resolution,status(thm),[c808,transitivity]) ).

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

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

cnf(c3,plain,
    ( X120 != X118
    | X117 != X119
    | least_upper_bound(X120,X117) = least_upper_bound(X118,X119) ),
    eq_axiom ).

cnf(c298,plain,
    ( X1080 != X1079
    | least_upper_bound(X1080,X1078) = least_upper_bound(X1079,X1078) ),
    inference(resolution,status(thm),[c3,reflexivity]) ).

cnf(c9751,plain,
    least_upper_bound(greatest_lower_bound(X5688,X5689),X5687) = least_upper_bound(greatest_lower_bound(X5689,X5688),X5687),
    inference(resolution,status(thm),[c298,symmetry_of_glb]) ).

cnf(c225548,plain,
    least_upper_bound(greatest_lower_bound(X5691,X5690),X5690) = X5690,
    inference(resolution,status(thm),[c9751,c851]) ).

cnf(c225908,plain,
    $false,
    inference(resolution,status(thm),[c225548,prove_ax_glb3a]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GRP144-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 13 05:08:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 137.86/138.09  # Version:  1.3
% 137.86/138.09  # SZS status Unsatisfiable
% 137.86/138.09  # SZS output start CNFRefutation
% See solution above
% 137.86/138.09  
% 137.86/138.09  # Initial clauses    : 23
% 137.86/138.09  # Processed clauses  : 1295
% 137.86/138.09  # Factors computed   : 0
% 137.86/138.09  # Resolvents computed: 225957
% 137.86/138.09  # Tautologies deleted: 1
% 137.86/138.09  # Forward subsumed   : 2247
% 137.86/138.09  # Backward subsumed  : 9
% 137.86/138.09  # -------- CPU Time ---------
% 137.86/138.09  # User time          : 137.262 s
% 137.86/138.09  # System time        : 0.429 s
% 137.86/138.09  # Total time         : 137.691 s
%------------------------------------------------------------------------------