TSTP Solution File: SET050-6 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET050-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 04:34:51 EDT 2022
% Result : Unsatisfiable 0.91s 1.10s
% Output : Refutation 0.91s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_corollary_1_to_unordered_pair_2,negated_conjecture,
~ member(x,unordered_pair(x,y)),
input ).
cnf(unordered_pair2,axiom,
( ~ member(X49,universal_class)
| member(X49,unordered_pair(X49,X50)) ),
input ).
cnf(class_elements_are_sets,axiom,
subclass(X3,universal_class),
input ).
cnf(subclass_members,axiom,
( ~ subclass(X5,X6)
| ~ member(X4,X5)
| member(X4,X6) ),
input ).
cnf(cartesian_product1,axiom,
( ~ member(ordered_pair(X73,X74),cross_product(X75,X76))
| member(X73,X75) ),
input ).
cnf(prove_corollary_1_to_unordered_pair_1,negated_conjecture,
member(ordered_pair(x,y),cross_product(u,v)),
input ).
cnf(c1615,plain,
member(x,u),
inference(resolution,status(thm),[prove_corollary_1_to_unordered_pair_1,cartesian_product1]) ).
cnf(c1622,plain,
( ~ subclass(u,X402)
| member(x,X402) ),
inference(resolution,status(thm),[c1615,subclass_members]) ).
cnf(c1700,plain,
member(x,universal_class),
inference(resolution,status(thm),[c1622,class_elements_are_sets]) ).
cnf(c1737,plain,
member(x,unordered_pair(x,X407)),
inference(resolution,status(thm),[c1700,unordered_pair2]) ).
cnf(c1770,plain,
$false,
inference(resolution,status(thm),[c1737,prove_corollary_1_to_unordered_pair_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET050-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n007.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 02:54:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.91/1.10 # Version: 1.3
% 0.91/1.10 # SZS status Unsatisfiable
% 0.91/1.10 # SZS output start CNFRefutation
% See solution above
% 0.91/1.10
% 0.91/1.10 # Initial clauses : 135
% 0.91/1.10 # Processed clauses : 280
% 0.91/1.10 # Factors computed : 0
% 0.91/1.10 # Resolvents computed: 1764
% 0.91/1.10 # Tautologies deleted: 8
% 0.91/1.10 # Forward subsumed : 84
% 0.91/1.10 # Backward subsumed : 1
% 0.91/1.10 # -------- CPU Time ---------
% 0.91/1.10 # User time : 0.738 s
% 0.91/1.10 # System time : 0.021 s
% 0.91/1.10 # Total time : 0.759 s
%------------------------------------------------------------------------------