%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP150-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n025.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 11:22:13 EDT 2022

% Result   : Unsatisfiable 4.65s 4.81s
% Output   : Refutation 4.65s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_ax_lub2a,negated_conjecture,
    least_upper_bound(a,least_upper_bound(a,b)) != least_upper_bound(a,b),
    input ).

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

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

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

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

cnf(associativity_of_lub,axiom,
    least_upper_bound(X39,least_upper_bound(X38,X37)) = least_upper_bound(least_upper_bound(X39,X38),X37),
    input ).

cnf(c23,plain,
    ( X152 != least_upper_bound(X155,least_upper_bound(X154,X153))
    | X152 = least_upper_bound(least_upper_bound(X155,X154),X153) ),
    inference(resolution,status(thm),[transitivity,associativity_of_lub]) ).

cnf(idempotence_of_lub,axiom,
    least_upper_bound(X3,X3) = X3,
    input ).

cnf(c5,plain,
    X11 = least_upper_bound(X11,X11),
    inference(resolution,status(thm),[symmetry,idempotence_of_lub]) ).

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

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

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

cnf(c9831,plain,
    least_upper_bound(X1089,X1090) = least_upper_bound(least_upper_bound(X1089,X1089),X1090),
    inference(resolution,status(thm),[c298,c5]) ).

cnf(c10214,plain,
    least_upper_bound(X1126,X1127) = least_upper_bound(X1127,least_upper_bound(X1126,X1126)),
    inference(resolution,status(thm),[c9831,c35]) ).

cnf(c11210,plain,
    least_upper_bound(X1188,X1189) = least_upper_bound(least_upper_bound(X1189,X1188),X1188),
    inference(resolution,status(thm),[c10214,c23]) ).

cnf(c12600,plain,
    least_upper_bound(X1257,X1258) = least_upper_bound(X1257,least_upper_bound(X1258,X1257)),
    inference(resolution,status(thm),[c11210,c35]) ).

cnf(c14082,plain,
    least_upper_bound(X1326,X1327) = least_upper_bound(least_upper_bound(X1326,X1327),X1326),
    inference(resolution,status(thm),[c12600,c23]) ).

cnf(c14799,plain,
    least_upper_bound(X1382,X1381) = least_upper_bound(X1382,least_upper_bound(X1382,X1381)),
    inference(resolution,status(thm),[c14082,c35]) ).

cnf(c15349,plain,
    least_upper_bound(X1412,least_upper_bound(X1412,X1413)) = least_upper_bound(X1412,X1413),
    inference(resolution,status(thm),[c14799,symmetry]) ).

cnf(c16000,plain,
    $false,
    inference(resolution,status(thm),[c15349,prove_ax_lub2a]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : GRP150-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jun 14 06:15:09 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 4.65/4.81  # Version:  1.3
% 4.65/4.81  # SZS status Unsatisfiable
% 4.65/4.81  # SZS output start CNFRefutation
% See solution above
% 4.65/4.81  
% 4.65/4.81  # Initial clauses    : 23
% 4.65/4.81  # Processed clauses  : 371
% 4.65/4.81  # Factors computed   : 0
% 4.65/4.81  # Resolvents computed: 16036
% 4.65/4.81  # Tautologies deleted: 1
% 4.65/4.81  # Forward subsumed   : 490
% 4.65/4.81  # Backward subsumed  : 6
% 4.65/4.81  # -------- CPU Time ---------
% 4.65/4.81  # User time          : 4.426 s
% 4.65/4.81  # System time        : 0.039 s
% 4.65/4.81  # Total time         : 4.465 s
%------------------------------------------------------------------------------