TSTP Solution File: SET074-7 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET074-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 : Tue Jul 19 04:35:18 EDT 2022
% Result : Unsatisfiable 1.11s 1.33s
% Output : Refutation 1.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(existence_of_null_class,axiom,
~ member(X8,null_class),
input ).
cnf(equal_implies_subclass1,axiom,
( X16 != X15
| subclass(X16,X15) ),
input ).
cnf(prove_corollary_to_unordered_pair_axiom2_2,negated_conjecture,
unordered_pair(x,y) = null_class,
input ).
cnf(c120,plain,
subclass(unordered_pair(x,y),null_class),
inference(resolution,status(thm),[prove_corollary_to_unordered_pair_axiom2_2,equal_implies_subclass1]) ).
cnf(null_class_is_subclass,axiom,
subclass(null_class,X9),
input ).
cnf(transitivity_of_subclass,axiom,
( ~ subclass(X241,X240)
| ~ subclass(X240,X239)
| subclass(X241,X239) ),
input ).
cnf(c609,plain,
( ~ subclass(X248,null_class)
| subclass(X248,X249) ),
inference(resolution,status(thm),[transitivity_of_subclass,null_class_is_subclass]) ).
cnf(c616,plain,
subclass(unordered_pair(x,y),X252),
inference(resolution,status(thm),[c609,c120]) ).
cnf(subclass_members,axiom,
( ~ subclass(X7,X5)
| ~ member(X6,X7)
| member(X6,X5) ),
input ).
cnf(prove_corollary_to_unordered_pair_axiom2_1,negated_conjecture,
member(y,universal_class),
input ).
cnf(unordered_pair3,axiom,
( ~ member(X57,universal_class)
| member(X57,unordered_pair(X58,X57)) ),
input ).
cnf(c73,plain,
member(y,unordered_pair(X69,y)),
inference(resolution,status(thm),[unordered_pair3,prove_corollary_to_unordered_pair_axiom2_1]) ).
cnf(c89,plain,
( ~ subclass(unordered_pair(X537,y),X538)
| member(y,X538) ),
inference(resolution,status(thm),[c73,subclass_members]) ).
cnf(c2480,plain,
member(y,X539),
inference(resolution,status(thm),[c89,c616]) ).
cnf(c2496,plain,
$false,
inference(resolution,status(thm),[c2480,existence_of_null_class]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.06 % Problem : SET074-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.01/0.06 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.06/0.25 % Computer : n020.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 600
% 0.06/0.25 % DateTime : Sun Jul 10 11:44:58 EDT 2022
% 0.06/0.25 % CPUTime :
% 1.11/1.33 # Version: 1.3
% 1.11/1.33 # SZS status Unsatisfiable
% 1.11/1.33 # SZS output start CNFRefutation
% See solution above
% 1.11/1.33
% 1.11/1.33 # Initial clauses : 159
% 1.11/1.33 # Processed clauses : 325
% 1.11/1.33 # Factors computed : 2
% 1.11/1.33 # Resolvents computed: 2461
% 1.11/1.33 # Tautologies deleted: 10
% 1.11/1.33 # Forward subsumed : 155
% 1.11/1.33 # Backward subsumed : 15
% 1.11/1.33 # -------- CPU Time ---------
% 1.11/1.33 # User time : 1.043 s
% 1.11/1.33 # System time : 0.017 s
% 1.11/1.33 # Total time : 1.060 s
%------------------------------------------------------------------------------