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