%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP143-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n029.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 2.26s 2.51s
% Output   : Refutation 2.26s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_ax_glb2b,negated_conjecture,
    greatest_lower_bound(greatest_lower_bound(a,b),a) != greatest_lower_bound(a,b),
    input ).

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

cnf(associativity_of_glb,axiom,
    greatest_lower_bound(X25,greatest_lower_bound(X26,X27)) = greatest_lower_bound(greatest_lower_bound(X25,X26),X27),
    input ).

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

cnf(c33,plain,
    ( X226 != greatest_lower_bound(X227,greatest_lower_bound(X225,X228))
    | X226 = greatest_lower_bound(greatest_lower_bound(X227,X225),X228) ),
    inference(resolution,status(thm),[transitivity,associativity_of_glb]) ).

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

cnf(c25,plain,
    ( X175 != greatest_lower_bound(X176,X177)
    | X175 = greatest_lower_bound(X177,X176) ),
    inference(resolution,status(thm),[transitivity,symmetry_of_glb]) ).

cnf(idempotence_of_gld,axiom,
    greatest_lower_bound(X4,X4) = X4,
    input ).

cnf(c6,plain,
    X10 = greatest_lower_bound(X10,X10),
    inference(resolution,status(thm),[symmetry,idempotence_of_gld]) ).

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

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

cnf(c252,plain,
    ( X627 != X626
    | greatest_lower_bound(X627,X625) = greatest_lower_bound(X626,X625) ),
    inference(resolution,status(thm),[c2,reflexivity]) ).

cnf(c2692,plain,
    greatest_lower_bound(X636,X635) = greatest_lower_bound(greatest_lower_bound(X636,X636),X635),
    inference(resolution,status(thm),[c252,c6]) ).

cnf(c2799,plain,
    greatest_lower_bound(X670,X671) = greatest_lower_bound(X671,greatest_lower_bound(X670,X670)),
    inference(resolution,status(thm),[c2692,c25]) ).

cnf(c3096,plain,
    greatest_lower_bound(X719,X718) = greatest_lower_bound(greatest_lower_bound(X718,X719),X719),
    inference(resolution,status(thm),[c2799,c33]) ).

cnf(c3387,plain,
    greatest_lower_bound(X786,X785) = greatest_lower_bound(X786,greatest_lower_bound(X785,X786)),
    inference(resolution,status(thm),[c3096,c25]) ).

cnf(c4069,plain,
    greatest_lower_bound(X861,X860) = greatest_lower_bound(greatest_lower_bound(X861,X860),X861),
    inference(resolution,status(thm),[c3387,c33]) ).

cnf(c5453,plain,
    greatest_lower_bound(greatest_lower_bound(X922,X923),X922) = greatest_lower_bound(X922,X923),
    inference(resolution,status(thm),[c4069,symmetry]) ).

cnf(c6679,plain,
    $false,
    inference(resolution,status(thm),[c5453,prove_ax_glb2b]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GRP143-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n029.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 : Mon Jun 13 04:47:24 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 2.26/2.51  # Version:  1.3
% 2.26/2.51  # SZS status Unsatisfiable
% 2.26/2.51  # SZS output start CNFRefutation
% See solution above
% 2.26/2.51  
% 2.26/2.51  # Initial clauses    : 23
% 2.26/2.51  # Processed clauses  : 256
% 2.26/2.51  # Factors computed   : 0
% 2.26/2.51  # Resolvents computed: 6676
% 2.26/2.51  # Tautologies deleted: 1
% 2.26/2.51  # Forward subsumed   : 311
% 2.26/2.51  # Backward subsumed  : 3
% 2.26/2.51  # -------- CPU Time ---------
% 2.26/2.51  # User time          : 2.140 s
% 2.26/2.51  # System time        : 0.022 s
% 2.26/2.51  # Total time         : 2.162 s
%------------------------------------------------------------------------------