TSTP Solution File: GRP188-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : GRP188-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n032.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 11:22:28 EDT 2022

% Result   : Unsatisfiable 7.49s 7.70s
% Output   : Refutation 7.49s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_p38a,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(X24,X25) = least_upper_bound(X25,X24),
    input ).

cnf(transitivity,axiom,
    ( X50 != X51
    | X51 != X52
    | X50 = X52 ),
    eq_axiom ).

cnf(c29,plain,
    ( X178 != least_upper_bound(X179,X180)
    | X178 = least_upper_bound(X180,X179) ),
    inference(resolution,status(thm),[transitivity,symmetry_of_lub]) ).

cnf(symmetry,axiom,
    ( X8 != X9
    | X9 = X8 ),
    eq_axiom ).

cnf(associativity_of_lub,axiom,
    least_upper_bound(X40,least_upper_bound(X41,X42)) = least_upper_bound(least_upper_bound(X40,X41),X42),
    input ).

cnf(c41,plain,
    ( X241 != least_upper_bound(X243,least_upper_bound(X242,X244))
    | X241 = least_upper_bound(least_upper_bound(X243,X242),X244) ),
    inference(resolution,status(thm),[transitivity,associativity_of_lub]) ).

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

cnf(c6,plain,
    X12 = least_upper_bound(X12,X12),
    inference(resolution,status(thm),[symmetry,idempotence_of_lub]) ).

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

cnf(c3,plain,
    ( X128 != X127
    | X130 != X129
    | least_upper_bound(X128,X130) = least_upper_bound(X127,X129) ),
    eq_axiom ).

cnf(c394,plain,
    ( X1256 != X1255
    | least_upper_bound(X1256,X1257) = least_upper_bound(X1255,X1257) ),
    inference(resolution,status(thm),[c3,reflexivity]) ).

cnf(c16161,plain,
    least_upper_bound(X1267,X1266) = least_upper_bound(least_upper_bound(X1267,X1267),X1266),
    inference(resolution,status(thm),[c394,c6]) ).

cnf(c16538,plain,
    least_upper_bound(X1303,X1302) = least_upper_bound(X1302,least_upper_bound(X1303,X1303)),
    inference(resolution,status(thm),[c16161,c29]) ).

cnf(c17673,plain,
    least_upper_bound(X1392,X1391) = least_upper_bound(least_upper_bound(X1391,X1392),X1392),
    inference(resolution,status(thm),[c16538,c41]) ).

cnf(c19751,plain,
    least_upper_bound(X1441,X1442) = least_upper_bound(X1441,least_upper_bound(X1442,X1441)),
    inference(resolution,status(thm),[c17673,c29]) ).

cnf(c20631,plain,
    least_upper_bound(X1506,least_upper_bound(X1505,X1506)) = least_upper_bound(X1506,X1505),
    inference(resolution,status(thm),[c19751,symmetry]) ).

cnf(c21561,plain,
    least_upper_bound(X1599,least_upper_bound(X1598,X1599)) = least_upper_bound(X1598,X1599),
    inference(resolution,status(thm),[c20631,c29]) ).

cnf(c23215,plain,
    $false,
    inference(resolution,status(thm),[c21561,prove_p38a]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : GRP188-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.00/0.10  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Mon Jun 13 04:40:41 EDT 2022
% 0.09/0.28  % CPUTime  : 
% 7.49/7.70  # Version:  1.3
% 7.49/7.70  # SZS status Unsatisfiable
% 7.49/7.70  # SZS output start CNFRefutation
% See solution above
% 7.49/7.70  
% 7.49/7.70  # Initial clauses    : 26
% 7.49/7.70  # Processed clauses  : 457
% 7.49/7.70  # Factors computed   : 0
% 7.49/7.70  # Resolvents computed: 23232
% 7.49/7.70  # Tautologies deleted: 1
% 7.49/7.70  # Forward subsumed   : 649
% 7.49/7.70  # Backward subsumed  : 6
% 7.49/7.70  # -------- CPU Time ---------
% 7.49/7.70  # User time          : 7.349 s
% 7.49/7.70  # System time        : 0.049 s
% 7.49/7.70  # Total time         : 7.398 s
%------------------------------------------------------------------------------