TSTP Solution File: SET117+1 by SATCoP---0.1
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%------------------------------------------------------------------------------
% File : SATCoP---0.1
% Problem : SET117+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : satcop --statistics %s
% Computer : n023.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 04:59:11 EDT 2022
% Result : Theorem 19.62s 2.81s
% Output : Proof 19.62s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(g0,plain,
sPE(ordered_pair(first(sK7),second(sK7)),sK7),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_1_to_ordered_pairs_are_sets)]) ).
cnf(g1,plain,
~ member(sK7,universal_class),
inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_1_to_ordered_pairs_are_sets)]) ).
cnf(g2,plain,
( ~ sPE(ordered_pair(first(sK7),second(sK7)),sK7)
| ~ sPE(sK7,sK7)
| ~ member(ordered_pair(first(sK7),second(sK7)),sK7)
| member(sK7,sK7) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g3,plain,
( ~ sPE(ordered_pair(first(sK7),second(sK7)),sK7)
| sPE(sK7,ordered_pair(first(sK7),second(sK7))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g4,plain,
( ~ sPE(ordered_pair(first(sK7),second(sK7)),sK7)
| ~ member(ordered_pair(first(sK7),second(sK7)),universal_class)
| member(ordered_pair(first(sK7),second(sK7)),unordered_pair(sK7,sK7)) ),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',unordered_pair_defn)]) ).
cnf(g5,plain,
( ~ sPE(sK7,ordered_pair(first(sK7),second(sK7)))
| ~ sPE(ordered_pair(first(sK7),second(sK7)),sK7)
| sPE(sK7,sK7) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g6,plain,
( ~ member(sK7,unordered_pair(sK7,sK7))
| member(sK7,universal_class) ),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',unordered_pair_defn)]) ).
cnf(g7,plain,
( ~ subclass(sK7,universal_class)
| ~ member(sK7,sK7)
| member(sK7,universal_class) ),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',subclass_defn)]) ).
cnf(g8,plain,
sPE(universal_class,universal_class),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g9,plain,
( ~ sPE(sK7,sK7)
| ~ sPE(sK7,sK7)
| sPE(unordered_pair(sK7,sK7),unordered_pair(sK7,sK7)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g10,plain,
subclass(sK7,universal_class),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',class_elements_are_sets)]) ).
cnf(g11,plain,
( ~ subclass(unordered_pair(sK7,sK7),sK7)
| ~ member(ordered_pair(first(sK7),second(sK7)),unordered_pair(sK7,sK7))
| member(ordered_pair(first(sK7),second(sK7)),sK7) ),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',subclass_defn)]) ).
cnf(g12,plain,
( subclass(unordered_pair(sK7,sK7),sK7)
| member(sK0(unordered_pair(sK7,sK7),sK7),unordered_pair(sK7,sK7)) ),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',subclass_defn)]) ).
cnf(g13,plain,
( ~ sPE(sK0(unordered_pair(sK7,sK7),sK7),sK7)
| ~ sPE(unordered_pair(sK7,sK7),unordered_pair(sK7,sK7))
| ~ member(sK0(unordered_pair(sK7,sK7),sK7),unordered_pair(sK7,sK7))
| member(sK7,unordered_pair(sK7,sK7)) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g14,plain,
( ~ member(sK0(unordered_pair(sK7,sK7),sK7),unordered_pair(sK7,sK7))
| sPE(sK0(unordered_pair(sK7,sK7),sK7),sK7)
| sPE(sK0(unordered_pair(sK7,sK7),sK7),sK7) ),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',unordered_pair_defn)]) ).
cnf(g15,plain,
sPE(ordered_pair(first(sK7),second(sK7)),unordered_pair(singleton(first(sK7)),unordered_pair(first(sK7),singleton(second(sK7))))),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',ordered_pair_defn)]) ).
cnf(g16,plain,
member(unordered_pair(singleton(first(sK7)),unordered_pair(first(sK7),singleton(second(sK7)))),universal_class),
inference(ground_cnf,[],[file('Axioms/SET005+0.ax',unordered_pair)]) ).
cnf(g17,plain,
( ~ sPE(ordered_pair(first(sK7),second(sK7)),unordered_pair(singleton(first(sK7)),unordered_pair(first(sK7),singleton(second(sK7)))))
| sPE(unordered_pair(singleton(first(sK7)),unordered_pair(first(sK7),singleton(second(sK7)))),ordered_pair(first(sK7),second(sK7))) ),
inference(ground_cnf,[],[theory(equality)]) ).
cnf(g18,plain,
( ~ sPE(unordered_pair(singleton(first(sK7)),unordered_pair(first(sK7),singleton(second(sK7)))),ordered_pair(first(sK7),second(sK7)))
| ~ sPE(universal_class,universal_class)
| ~ member(unordered_pair(singleton(first(sK7)),unordered_pair(first(sK7),singleton(second(sK7)))),universal_class)
| member(ordered_pair(first(sK7),second(sK7)),universal_class) ),
inference(ground_cnf,[],[theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET117+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.13 % Command : satcop --statistics %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 10 05:45:40 EDT 2022
% 0.14/0.35 % CPUTime :
% 19.62/2.81 % symbols: 41
% 19.62/2.81 % clauses: 125
% 19.62/2.81 % start clauses: 2
% 19.62/2.81 % iterative deepening steps: 1778
% 19.62/2.81 % maximum path limit: 4
% 19.62/2.81 % literal attempts: 6148310
% 19.62/2.81 % depth failures: 5416630
% 19.62/2.81 % regularity failures: 325247
% 19.62/2.81 % tautology failures: 47863
% 19.62/2.81 % reductions: 27027
% 19.62/2.81 % extensions: 6120308
% 19.62/2.81 % SAT variables: 959269
% 19.62/2.81 % SAT clauses: 955780
% 19.62/2.81 % WalkSAT solutions: 955771
% 19.62/2.81 % CDCL solutions: 8
% 19.62/2.81 % SZS status Theorem for theBenchmark
% 19.62/2.81 % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------