%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP152-1 : 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 11:22:14 EDT 2022

% Result   : Unsatisfiable 4.40s 4.65s
% Output   : Refutation 4.40s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_ax_lub3a,negated_conjecture,
    least_upper_bound(b,least_upper_bound(a,b)) != least_upper_bound(a,b),
    input ).

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

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(c33,plain,
    ( X199 != least_upper_bound(X198,least_upper_bound(X201,X200))
    | X199 = least_upper_bound(least_upper_bound(X198,X201),X200) ),
    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
    | X117 != X120
    | least_upper_bound(X118,X117) = least_upper_bound(X119,X120) ),
    eq_axiom ).

cnf(c297,plain,
    ( X1080 != X1078
    | least_upper_bound(X1080,X1079) = least_upper_bound(X1078,X1079) ),
    inference(resolution,status(thm),[c3,reflexivity]) ).

cnf(c9722,plain,
    least_upper_bound(X1087,X1088) = least_upper_bound(least_upper_bound(X1087,X1087),X1088),
    inference(resolution,status(thm),[c297,c5]) ).

cnf(c10167,plain,
    least_upper_bound(X1118,X1119) = least_upper_bound(X1119,least_upper_bound(X1118,X1118)),
    inference(resolution,status(thm),[c9722,c35]) ).

cnf(c11082,plain,
    least_upper_bound(X1172,X1171) = least_upper_bound(least_upper_bound(X1171,X1172),X1172),
    inference(resolution,status(thm),[c10167,c33]) ).

cnf(c12212,plain,
    least_upper_bound(X1238,X1237) = least_upper_bound(X1238,least_upper_bound(X1237,X1238)),
    inference(resolution,status(thm),[c11082,c35]) ).

cnf(c13719,plain,
    least_upper_bound(X1308,least_upper_bound(X1307,X1308)) = least_upper_bound(X1308,X1307),
    inference(resolution,status(thm),[c12212,symmetry]) ).

cnf(c14702,plain,
    least_upper_bound(X1376,least_upper_bound(X1375,X1376)) = least_upper_bound(X1375,X1376),
    inference(resolution,status(thm),[c13719,c35]) ).

cnf(c15213,plain,
    $false,
    inference(resolution,status(thm),[c14702,prove_ax_lub3a]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP152-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n012.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 10:07:40 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 4.40/4.65  # Version:  1.3
% 4.40/4.65  # SZS status Unsatisfiable
% 4.40/4.65  # SZS output start CNFRefutation
% See solution above
% 4.40/4.65  
% 4.40/4.65  # Initial clauses    : 23
% 4.40/4.65  # Processed clauses  : 362
% 4.40/4.65  # Factors computed   : 0
% 4.40/4.65  # Resolvents computed: 15309
% 4.40/4.65  # Tautologies deleted: 1
% 4.40/4.65  # Forward subsumed   : 477
% 4.40/4.65  # Backward subsumed  : 6
% 4.40/4.65  # -------- CPU Time ---------
% 4.40/4.65  # User time          : 4.269 s
% 4.40/4.65  # System time        : 0.030 s
% 4.40/4.65  # Total time         : 4.299 s
%------------------------------------------------------------------------------