TSTP Solution File: SEU373+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU373+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %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 : 300s
% DateTime : Wed May 31 12:36:51 EDT 2023
% Result : Theorem 18.22s 2.80s
% Output : CNFRefutation 19.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU373+2 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.31 % Computer : n007.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue May 30 09:02:47 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.39 % Drodi V3.5.1
% 18.22/2.80 % Refutation found
% 18.22/2.80 % SZS status Theorem for theBenchmark: Theorem is valid
% 18.22/2.80 % SZS output start CNFRefutation for theBenchmark
% 18.22/2.80 fof(f10,axiom,(
% 18.22/2.80 (! [A] :( empty(A)=> ( v1_membered(A)& v2_membered(A)& v3_membered(A)& v4_membered(A)& v5_membered(A) ) ) )),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f27,axiom,(
% 18.22/2.80 (! [A,B,C] :( element(C,powerset(cartesian_product2(A,B)))=> relation(C) ) )),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f44,axiom,(
% 18.22/2.80 (! [A] :( empty(A)=> ( epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) ) )),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f58,axiom,(
% 18.22/2.80 (! [A,B] : set_union2(A,B) = set_union2(B,A) )),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f66,axiom,(
% 18.22/2.80 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f80,axiom,(
% 18.22/2.80 (! [A] :( rel_str(A)=> (! [B] :( rel_str(B)=> ( subrelstr(B,A)<=> ( subset(the_carrier(B),the_carrier(A))& subset(the_InternalRel(B),the_InternalRel(A)) ) ) ) )) )),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f179,axiom,(
% 18.22/2.80 (! [A] :( one_sorted_str(A)=> (! [B] :( net_str(B,A)=> (! [C] :( net_str(C,A)=> ( subnetstr(C,A,B)<=> ( subrelstr(C,B)& the_mapping(A,C) = relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C)) ) ) ) )) )) )),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f221,axiom,(
% 18.22/2.80 (! [A] : element(cast_to_subset(A),powerset(A)) )),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f269,axiom,(
% 18.22/2.80 (! [A] :( one_sorted_str(A)=> (! [B] :( net_str(B,A)=> rel_str(B) ) )) )),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f275,axiom,(
% 18.22/2.80 (! [A] :( rel_str(A)=> (! [B] :( subrelstr(B,A)=> rel_str(B) ) )) )),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f276,axiom,(
% 18.22/2.80 (! [A,B] :( ( one_sorted_str(A)& net_str(B,A) )=> (! [C] :( subnetstr(C,A,B)=> net_str(C,A) ) )) )),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f302,axiom,(
% 18.22/2.80 ( empty(empty_set)& relation(empty_set)& relation_empty_yielding(empty_set) ) ),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f331,axiom,(
% 18.22/2.80 ( relation(empty_set)& relation_empty_yielding(empty_set)& function(empty_set)& one_to_one(empty_set)& empty(empty_set)& epsilon_transitive(empty_set)& epsilon_connected(empty_set)& ordinal(empty_set) ) ),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f438,axiom,(
% 18.22/2.80 (! [A] :(? [B] :( element(B,powerset(A))& empty(B)& relation(B)& function(B)& one_to_one(B)& epsilon_transitive(B)& epsilon_connected(B)& ordinal(B)& natural(B)& finite(B) ) ))),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f439,axiom,(
% 18.22/2.80 (? [A] :( relation(A)& empty(A)& function(A) ) )),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f443,axiom,(
% 18.22/2.80 (? [A] :( relation(A)& function(A)& one_to_one(A)& empty(A)& epsilon_transitive(A)& epsilon_connected(A)& ordinal(A) ) )),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f446,axiom,(
% 18.22/2.80 (! [A] :(? [B] :( element(B,powerset(A))& empty(B) ) ))),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f589,lemma,(
% 18.22/2.80 (! [A,B] : subset(set_intersection2(A,B),A) )),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f595,conjecture,(
% 18.22/2.80 (! [A] :( one_sorted_str(A)=> (! [B] :( net_str(B,A)=> (! [C] :( subnetstr(C,A,B)=> subset(the_carrier(C),the_carrier(B)) ) )) )) )),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f596,negated_conjecture,(
% 18.22/2.80 ~((! [A] :( one_sorted_str(A)=> (! [B] :( net_str(B,A)=> (! [C] :( subnetstr(C,A,B)=> subset(the_carrier(C),the_carrier(B)) ) )) )) ))),
% 18.22/2.80 inference(negated_conjecture,[status(cth)],[f595])).
% 18.22/2.80 fof(f601,lemma,(
% 18.22/2.80 (! [A,B,C] :( ( subset(A,B)& subset(B,C) )=> subset(A,C) ) )),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f637,axiom,(
% 18.22/2.80 (! [A] : set_intersection2(A,empty_set) = empty_set )),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f671,axiom,(
% 18.22/2.80 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f747,lemma,(
% 18.22/2.80 (! [A,B] : subset(A,set_union2(A,B)) )),
% 18.22/2.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.22/2.80 fof(f794,plain,(
% 18.22/2.80 ![A]: (~empty(A)|((((v1_membered(A)&v2_membered(A))&v3_membered(A))&v4_membered(A))&v5_membered(A)))),
% 18.22/2.80 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 18.22/2.80 fof(f799,plain,(
% 18.22/2.80 ![X0]: (~empty(X0)|v5_membered(X0))),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f794])).
% 18.22/2.80 fof(f860,plain,(
% 18.22/2.80 ![A,B,C]: (~element(C,powerset(cartesian_product2(A,B)))|relation(C))),
% 18.22/2.80 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 18.22/2.80 fof(f861,plain,(
% 18.22/2.80 ![C]: ((![A,B]: ~element(C,powerset(cartesian_product2(A,B))))|relation(C))),
% 18.22/2.80 inference(miniscoping,[status(esa)],[f860])).
% 18.22/2.80 fof(f862,plain,(
% 18.22/2.80 ![X0,X1,X2]: (~element(X0,powerset(cartesian_product2(X1,X2)))|relation(X0))),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f861])).
% 18.22/2.80 fof(f920,plain,(
% 18.22/2.80 ![A]: (~empty(A)|((epsilon_transitive(A)&epsilon_connected(A))&ordinal(A)))),
% 18.22/2.80 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 18.22/2.80 fof(f923,plain,(
% 18.22/2.80 ![X0]: (~empty(X0)|ordinal(X0))),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f920])).
% 18.22/2.80 fof(f977,plain,(
% 18.22/2.80 ![X0,X1]: (set_union2(X0,X1)=set_union2(X1,X0))),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f58])).
% 18.22/2.80 fof(f999,plain,(
% 18.22/2.80 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 18.22/2.80 inference(NNF_transformation,[status(esa)],[f66])).
% 18.22/2.80 fof(f1000,plain,(
% 18.22/2.80 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 18.22/2.80 inference(miniscoping,[status(esa)],[f999])).
% 18.22/2.80 fof(f1001,plain,(
% 18.22/2.80 ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f1000])).
% 18.22/2.80 fof(f1109,plain,(
% 18.22/2.80 ![A]: (~rel_str(A)|(![B]: (~rel_str(B)|(subrelstr(B,A)<=>(subset(the_carrier(B),the_carrier(A))&subset(the_InternalRel(B),the_InternalRel(A)))))))),
% 18.22/2.80 inference(pre_NNF_transformation,[status(esa)],[f80])).
% 18.22/2.80 fof(f1110,plain,(
% 18.22/2.80 ![A]: (~rel_str(A)|(![B]: (~rel_str(B)|((~subrelstr(B,A)|(subset(the_carrier(B),the_carrier(A))&subset(the_InternalRel(B),the_InternalRel(A))))&(subrelstr(B,A)|(~subset(the_carrier(B),the_carrier(A))|~subset(the_InternalRel(B),the_InternalRel(A))))))))),
% 18.22/2.80 inference(NNF_transformation,[status(esa)],[f1109])).
% 18.22/2.80 fof(f1111,plain,(
% 18.22/2.80 ![X0,X1]: (~rel_str(X0)|~rel_str(X1)|~subrelstr(X1,X0)|subset(the_carrier(X1),the_carrier(X0)))),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f1110])).
% 18.22/2.80 fof(f1783,plain,(
% 18.22/2.80 ![A]: (~one_sorted_str(A)|(![B]: (~net_str(B,A)|(![C]: (~net_str(C,A)|(subnetstr(C,A,B)<=>(subrelstr(C,B)&the_mapping(A,C)=relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C)))))))))),
% 18.22/2.80 inference(pre_NNF_transformation,[status(esa)],[f179])).
% 18.22/2.80 fof(f1784,plain,(
% 18.22/2.80 ![A]: (~one_sorted_str(A)|(![B]: (~net_str(B,A)|(![C]: (~net_str(C,A)|((~subnetstr(C,A,B)|(subrelstr(C,B)&the_mapping(A,C)=relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C))))&(subnetstr(C,A,B)|(~subrelstr(C,B)|~the_mapping(A,C)=relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C))))))))))),
% 18.22/2.80 inference(NNF_transformation,[status(esa)],[f1783])).
% 18.22/2.80 fof(f1785,plain,(
% 18.22/2.80 ![X0,X1,X2]: (~one_sorted_str(X0)|~net_str(X1,X0)|~net_str(X2,X0)|~subnetstr(X2,X0,X1)|subrelstr(X2,X1))),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f1784])).
% 18.22/2.80 fof(f1873,plain,(
% 18.22/2.80 ![X0]: (element(cast_to_subset(X0),powerset(X0)))),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f221])).
% 18.22/2.80 fof(f1960,plain,(
% 18.22/2.80 ![A]: (~one_sorted_str(A)|(![B]: (~net_str(B,A)|rel_str(B))))),
% 18.22/2.80 inference(pre_NNF_transformation,[status(esa)],[f269])).
% 18.22/2.80 fof(f1961,plain,(
% 18.22/2.80 ![X0,X1]: (~one_sorted_str(X0)|~net_str(X1,X0)|rel_str(X1))),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f1960])).
% 18.22/2.80 fof(f1969,plain,(
% 18.22/2.80 ![A]: (~rel_str(A)|(![B]: (~subrelstr(B,A)|rel_str(B))))),
% 18.22/2.80 inference(pre_NNF_transformation,[status(esa)],[f275])).
% 18.22/2.80 fof(f1970,plain,(
% 18.22/2.80 ![X0,X1]: (~rel_str(X0)|~subrelstr(X1,X0)|rel_str(X1))),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f1969])).
% 18.22/2.80 fof(f1971,plain,(
% 18.22/2.80 ![A,B]: ((~one_sorted_str(A)|~net_str(B,A))|(![C]: (~subnetstr(C,A,B)|net_str(C,A))))),
% 18.22/2.80 inference(pre_NNF_transformation,[status(esa)],[f276])).
% 18.22/2.80 fof(f1972,plain,(
% 18.22/2.80 ![X0,X1,X2]: (~one_sorted_str(X0)|~net_str(X1,X0)|~subnetstr(X2,X0,X1)|net_str(X2,X0))),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f1971])).
% 18.22/2.80 fof(f2036,plain,(
% 18.22/2.80 empty(empty_set)),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f302])).
% 18.22/2.80 fof(f2037,plain,(
% 18.22/2.80 relation(empty_set)),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f302])).
% 18.22/2.80 fof(f2162,plain,(
% 18.22/2.80 epsilon_transitive(empty_set)),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f331])).
% 18.22/2.80 fof(f2686,plain,(
% 18.22/2.80 ![A]: (((((((((element(sk0_179(A),powerset(A))&empty(sk0_179(A)))&relation(sk0_179(A)))&function(sk0_179(A)))&one_to_one(sk0_179(A)))&epsilon_transitive(sk0_179(A)))&epsilon_connected(sk0_179(A)))&ordinal(sk0_179(A)))&natural(sk0_179(A)))&finite(sk0_179(A)))),
% 18.22/2.80 inference(skolemization,[status(esa)],[f438])).
% 18.22/2.80 fof(f2688,plain,(
% 18.22/2.80 ![X0]: (empty(sk0_179(X0)))),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f2686])).
% 18.22/2.80 fof(f2697,plain,(
% 18.22/2.80 ((relation(sk0_180)&empty(sk0_180))&function(sk0_180))),
% 18.22/2.80 inference(skolemization,[status(esa)],[f439])).
% 18.22/2.80 fof(f2699,plain,(
% 18.22/2.80 empty(sk0_180)),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f2697])).
% 18.22/2.80 fof(f2726,plain,(
% 18.22/2.80 ((((((relation(sk0_184)&function(sk0_184))&one_to_one(sk0_184))&empty(sk0_184))&epsilon_transitive(sk0_184))&epsilon_connected(sk0_184))&ordinal(sk0_184))),
% 18.22/2.80 inference(skolemization,[status(esa)],[f443])).
% 18.22/2.80 fof(f2730,plain,(
% 18.22/2.80 empty(sk0_184)),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f2726])).
% 18.22/2.80 fof(f2741,plain,(
% 18.22/2.80 ![A]: (element(sk0_187(A),powerset(A))&empty(sk0_187(A)))),
% 18.22/2.80 inference(skolemization,[status(esa)],[f446])).
% 18.22/2.80 fof(f2743,plain,(
% 18.22/2.80 ![X0]: (empty(sk0_187(X0)))),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f2741])).
% 18.22/2.80 fof(f3584,plain,(
% 18.22/2.80 ![X0,X1]: (subset(set_intersection2(X0,X1),X0))),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f589])).
% 18.22/2.80 fof(f3599,plain,(
% 18.22/2.80 (?[A]: (one_sorted_str(A)&(?[B]: (net_str(B,A)&(?[C]: (subnetstr(C,A,B)&~subset(the_carrier(C),the_carrier(B))))))))),
% 18.22/2.80 inference(pre_NNF_transformation,[status(esa)],[f596])).
% 18.22/2.80 fof(f3600,plain,(
% 18.22/2.80 (one_sorted_str(sk0_407)&(net_str(sk0_408,sk0_407)&(subnetstr(sk0_409,sk0_407,sk0_408)&~subset(the_carrier(sk0_409),the_carrier(sk0_408)))))),
% 18.22/2.80 inference(skolemization,[status(esa)],[f3599])).
% 18.22/2.80 fof(f3601,plain,(
% 18.22/2.80 one_sorted_str(sk0_407)),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f3600])).
% 18.22/2.80 fof(f3602,plain,(
% 18.22/2.80 net_str(sk0_408,sk0_407)),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f3600])).
% 18.22/2.80 fof(f3603,plain,(
% 18.22/2.80 subnetstr(sk0_409,sk0_407,sk0_408)),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f3600])).
% 18.22/2.80 fof(f3604,plain,(
% 18.22/2.80 ~subset(the_carrier(sk0_409),the_carrier(sk0_408))),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f3600])).
% 18.22/2.80 fof(f3622,plain,(
% 18.22/2.80 ![A,B,C]: ((~subset(A,B)|~subset(B,C))|subset(A,C))),
% 18.22/2.80 inference(pre_NNF_transformation,[status(esa)],[f601])).
% 18.22/2.80 fof(f3623,plain,(
% 18.22/2.80 ![A,C]: ((![B]: (~subset(A,B)|~subset(B,C)))|subset(A,C))),
% 18.22/2.80 inference(miniscoping,[status(esa)],[f3622])).
% 18.22/2.80 fof(f3624,plain,(
% 18.22/2.80 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X1,X2)|subset(X0,X2))),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f3623])).
% 18.22/2.80 fof(f3741,plain,(
% 18.22/2.80 ![X0]: (set_intersection2(X0,empty_set)=empty_set)),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f637])).
% 18.22/2.80 fof(f3868,plain,(
% 18.22/2.80 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 18.22/2.80 inference(NNF_transformation,[status(esa)],[f671])).
% 18.22/2.80 fof(f3869,plain,(
% 18.22/2.80 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 18.22/2.80 inference(miniscoping,[status(esa)],[f3868])).
% 18.22/2.80 fof(f3870,plain,(
% 18.22/2.80 ![X0,X1]: (~element(X0,powerset(X1))|subset(X0,X1))),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f3869])).
% 18.22/2.80 fof(f3871,plain,(
% 18.22/2.80 ![X0,X1]: (element(X0,powerset(X1))|~subset(X0,X1))),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f3869])).
% 18.22/2.80 fof(f4116,plain,(
% 18.22/2.80 ![X0,X1]: (subset(X0,set_union2(X0,X1)))),
% 18.22/2.80 inference(cnf_transformation,[status(esa)],[f747])).
% 18.22/2.80 fof(f4729,plain,(
% 18.22/2.80 ![X0]: (subset(X0,X0))),
% 18.22/2.80 inference(destructive_equality_resolution,[status(esa)],[f1001])).
% 18.22/2.80 fof(f5003,plain,(
% 18.22/2.80 spl0_52 <=> one_sorted_str(sk0_407)),
% 18.22/2.80 introduced(split_symbol_definition)).
% 18.22/2.80 fof(f5005,plain,(
% 18.22/2.80 ~one_sorted_str(sk0_407)|spl0_52),
% 18.22/2.80 inference(component_clause,[status(thm)],[f5003])).
% 18.22/2.80 fof(f5006,plain,(
% 18.22/2.80 spl0_53 <=> rel_str(sk0_408)),
% 18.22/2.80 introduced(split_symbol_definition)).
% 18.22/2.80 fof(f5009,plain,(
% 18.22/2.80 ~one_sorted_str(sk0_407)|rel_str(sk0_408)),
% 18.22/2.80 inference(resolution,[status(thm)],[f1961,f3602])).
% 18.22/2.80 fof(f5010,plain,(
% 18.22/2.80 ~spl0_52|spl0_53),
% 18.22/2.80 inference(split_clause,[status(thm)],[f5009,f5003,f5006])).
% 18.22/2.80 fof(f5011,plain,(
% 18.22/2.80 $false|spl0_52),
% 18.22/2.80 inference(forward_subsumption_resolution,[status(thm)],[f5005,f3601])).
% 18.22/2.80 fof(f5012,plain,(
% 18.22/2.80 spl0_52),
% 18.22/2.80 inference(contradiction_clause,[status(thm)],[f5011])).
% 18.22/2.80 fof(f5014,plain,(
% 18.22/2.80 spl0_54 <=> net_str(sk0_408,sk0_407)),
% 18.22/2.80 introduced(split_symbol_definition)).
% 18.22/2.80 fof(f5016,plain,(
% 18.22/2.80 ~net_str(sk0_408,sk0_407)|spl0_54),
% 18.22/2.80 inference(component_clause,[status(thm)],[f5014])).
% 18.22/2.80 fof(f5022,plain,(
% 18.22/2.80 $false|spl0_54),
% 18.22/2.80 inference(forward_subsumption_resolution,[status(thm)],[f5016,f3602])).
% 18.22/2.80 fof(f5023,plain,(
% 18.22/2.80 spl0_54),
% 18.22/2.80 inference(contradiction_clause,[status(thm)],[f5022])).
% 18.22/2.80 fof(f5030,plain,(
% 18.22/2.80 ![X0,X1,X2]: (~one_sorted_str(X0)|~net_str(X1,X0)|~subnetstr(X2,X0,X1)|subrelstr(X2,X1))),
% 18.22/2.80 inference(forward_subsumption_resolution,[status(thm)],[f1785,f1972])).
% 18.22/2.80 fof(f5031,plain,(
% 18.22/2.80 spl0_57 <=> subrelstr(sk0_409,sk0_408)),
% 18.22/2.80 introduced(split_symbol_definition)).
% 18.22/2.80 fof(f5034,plain,(
% 18.22/2.80 ~one_sorted_str(sk0_407)|~net_str(sk0_408,sk0_407)|subrelstr(sk0_409,sk0_408)),
% 18.22/2.80 inference(resolution,[status(thm)],[f5030,f3603])).
% 18.22/2.80 fof(f5035,plain,(
% 18.22/2.80 ~spl0_52|~spl0_54|spl0_57),
% 18.22/2.80 inference(split_clause,[status(thm)],[f5034,f5003,f5014,f5031])).
% 18.22/2.80 fof(f5511,plain,(
% 18.22/2.80 ![X0,X1,X2]: (~subset(X0,set_intersection2(X1,X2))|subset(X0,X1))),
% 18.22/2.80 inference(resolution,[status(thm)],[f3584,f3624])).
% 18.22/2.80 fof(f5587,plain,(
% 18.22/2.80 ![X0,X1]: (subset(X0,set_union2(X1,X0)))),
% 18.22/2.80 inference(paramodulation,[status(thm)],[f977,f4116])).
% 18.22/2.80 fof(f5658,plain,(
% 18.22/2.80 ![X0]: (subset(cast_to_subset(X0),X0))),
% 18.22/2.80 inference(resolution,[status(thm)],[f1873,f3870])).
% 18.22/2.80 fof(f5986,plain,(
% 18.22/2.80 ![X0,X1]: (~subset(X0,empty_set)|subset(X0,X1))),
% 18.22/2.80 inference(paramodulation,[status(thm)],[f3741,f5511])).
% 18.22/2.80 fof(f5990,plain,(
% 18.22/2.80 ![X0]: (subset(cast_to_subset(empty_set),X0))),
% 18.22/2.80 inference(resolution,[status(thm)],[f5986,f5658])).
% 18.22/2.80 fof(f6310,plain,(
% 18.22/2.80 spl0_72 <=> subset(empty_set,empty_set)),
% 18.22/2.80 introduced(split_symbol_definition)).
% 18.22/2.80 fof(f6312,plain,(
% 18.22/2.80 ~subset(empty_set,empty_set)|spl0_72),
% 18.22/2.80 inference(component_clause,[status(thm)],[f6310])).
% 18.22/2.80 fof(f6320,plain,(
% 18.22/2.80 $false|spl0_72),
% 18.22/2.80 inference(forward_subsumption_resolution,[status(thm)],[f6312,f4729])).
% 18.22/2.80 fof(f6321,plain,(
% 18.22/2.80 spl0_72),
% 18.22/2.80 inference(contradiction_clause,[status(thm)],[f6320])).
% 18.22/2.80 fof(f8249,plain,(
% 18.22/2.80 spl0_116 <=> relation(cast_to_subset(empty_set))),
% 18.22/2.80 introduced(split_symbol_definition)).
% 18.22/2.80 fof(f8251,plain,(
% 18.22/2.80 ~relation(cast_to_subset(empty_set))|spl0_116),
% 18.22/2.80 inference(component_clause,[status(thm)],[f8249])).
% 18.22/2.80 fof(f8525,plain,(
% 18.22/2.80 spl0_119 <=> ~subset(empty_set,X0)),
% 18.22/2.80 introduced(split_symbol_definition)).
% 18.22/2.80 fof(f8526,plain,(
% 18.22/2.80 ![X0]: (~subset(empty_set,X0)|~spl0_119)),
% 18.22/2.80 inference(component_clause,[status(thm)],[f8525])).
% 18.22/2.80 fof(f8538,plain,(
% 18.22/2.80 $false|~spl0_119),
% 18.22/2.80 inference(resolution,[status(thm)],[f8526,f5587])).
% 18.22/2.80 fof(f8539,plain,(
% 18.22/2.80 ~spl0_119),
% 18.22/2.80 inference(contradiction_clause,[status(thm)],[f8538])).
% 18.22/2.80 fof(f8679,plain,(
% 18.22/2.80 ![X0,X1,X2]: (relation(X0)|~subset(X0,cartesian_product2(X1,X2)))),
% 18.22/2.80 inference(resolution,[status(thm)],[f862,f3871])).
% 18.22/2.80 fof(f8685,plain,(
% 18.22/2.80 relation(cast_to_subset(empty_set))),
% 18.22/2.80 inference(resolution,[status(thm)],[f8679,f5990])).
% 18.22/2.80 fof(f9601,plain,(
% 18.22/2.80 spl0_172 <=> ~empty(X0)|~empty(X0)),
% 18.22/2.80 introduced(split_symbol_definition)).
% 18.22/2.80 fof(f9602,plain,(
% 18.22/2.80 ![X0]: (~empty(X0)|~empty(X0)|~spl0_172)),
% 18.22/2.80 inference(component_clause,[status(thm)],[f9601])).
% 18.22/2.80 fof(f9609,plain,(
% 18.22/2.80 spl0_174 <=> ~empty(X0)|~ordinal(X0)),
% 19.04/2.85 introduced(split_symbol_definition)).
% 19.04/2.85 fof(f9610,plain,(
% 19.04/2.85 ![X0]: (~empty(X0)|~ordinal(X0)|~spl0_174)),
% 19.04/2.85 inference(component_clause,[status(thm)],[f9609])).
% 19.04/2.85 fof(f9618,plain,(
% 19.04/2.85 spl0_175 <=> ~empty(X0)|~v5_membered(X0)),
% 19.04/2.85 introduced(split_symbol_definition)).
% 19.04/2.85 fof(f9619,plain,(
% 19.04/2.85 ![X0]: (~empty(X0)|~v5_membered(X0)|~spl0_175)),
% 19.04/2.85 inference(component_clause,[status(thm)],[f9618])).
% 19.04/2.85 fof(f9675,plain,(
% 19.04/2.85 ![X0]: (~empty(X0)|~spl0_175)),
% 19.04/2.85 inference(forward_subsumption_resolution,[status(thm)],[f9619,f799])).
% 19.04/2.85 fof(f9678,plain,(
% 19.04/2.85 ![X0]: (~empty(X0)|~spl0_174)),
% 19.04/2.85 inference(forward_subsumption_resolution,[status(thm)],[f9610,f923])).
% 19.04/2.85 fof(f9679,plain,(
% 19.04/2.85 ![X0]: (~empty(X0)|~spl0_172)),
% 19.04/2.85 inference(duplicate_literals_removal,[status(esa)],[f9602])).
% 19.04/2.85 fof(f9682,plain,(
% 19.04/2.85 $false|~spl0_175),
% 19.04/2.85 inference(backward_subsumption_resolution,[status(thm)],[f2743,f9675])).
% 19.04/2.85 fof(f9683,plain,(
% 19.04/2.85 ~spl0_175),
% 19.04/2.85 inference(contradiction_clause,[status(thm)],[f9682])).
% 19.04/2.85 fof(f10857,plain,(
% 19.04/2.85 $false|~spl0_174),
% 19.04/2.85 inference(forward_subsumption_resolution,[status(thm)],[f2730,f9678])).
% 19.04/2.85 fof(f10858,plain,(
% 19.04/2.85 ~spl0_174),
% 19.04/2.85 inference(contradiction_clause,[status(thm)],[f10857])).
% 19.04/2.85 fof(f10859,plain,(
% 19.04/2.85 $false|~spl0_172),
% 19.04/2.85 inference(forward_subsumption_resolution,[status(thm)],[f2699,f9679])).
% 19.04/2.85 fof(f10860,plain,(
% 19.04/2.85 ~spl0_172),
% 19.04/2.85 inference(contradiction_clause,[status(thm)],[f10859])).
% 19.04/2.85 fof(f11227,plain,(
% 19.04/2.85 spl0_199 <=> epsilon_transitive(empty_set)),
% 19.04/2.85 introduced(split_symbol_definition)).
% 19.04/2.85 fof(f11229,plain,(
% 19.04/2.85 ~epsilon_transitive(empty_set)|spl0_199),
% 19.04/2.85 inference(component_clause,[status(thm)],[f11227])).
% 19.04/2.85 fof(f11235,plain,(
% 19.04/2.85 $false|spl0_199),
% 19.04/2.85 inference(forward_subsumption_resolution,[status(thm)],[f11229,f2162])).
% 19.04/2.85 fof(f11236,plain,(
% 19.04/2.85 spl0_199),
% 19.04/2.85 inference(contradiction_clause,[status(thm)],[f11235])).
% 19.04/2.85 fof(f13560,plain,(
% 19.04/2.85 spl0_203 <=> relation(empty_set)),
% 19.04/2.85 introduced(split_symbol_definition)).
% 19.04/2.85 fof(f13562,plain,(
% 19.04/2.85 ~relation(empty_set)|spl0_203),
% 19.04/2.85 inference(component_clause,[status(thm)],[f13560])).
% 19.04/2.85 fof(f13632,plain,(
% 19.04/2.85 $false|spl0_203),
% 19.04/2.85 inference(forward_subsumption_resolution,[status(thm)],[f13562,f2037])).
% 19.04/2.85 fof(f13633,plain,(
% 19.04/2.85 spl0_203),
% 19.04/2.85 inference(contradiction_clause,[status(thm)],[f13632])).
% 19.04/2.85 fof(f13892,plain,(
% 19.04/2.85 $false|spl0_116),
% 19.04/2.85 inference(forward_subsumption_resolution,[status(thm)],[f8251,f8685])).
% 19.04/2.85 fof(f13893,plain,(
% 19.04/2.85 spl0_116),
% 19.04/2.85 inference(contradiction_clause,[status(thm)],[f13892])).
% 19.04/2.85 fof(f15648,plain,(
% 19.04/2.85 spl0_236 <=> empty(empty_set)),
% 19.04/2.85 introduced(split_symbol_definition)).
% 19.04/2.85 fof(f15650,plain,(
% 19.04/2.85 ~empty(empty_set)|spl0_236),
% 19.04/2.85 inference(component_clause,[status(thm)],[f15648])).
% 19.04/2.85 fof(f16464,plain,(
% 19.04/2.85 spl0_237 <=> ~empty(X0)),
% 19.04/2.85 introduced(split_symbol_definition)).
% 19.04/2.85 fof(f16465,plain,(
% 19.04/2.85 ![X0]: (~empty(X0)|~spl0_237)),
% 19.04/2.85 inference(component_clause,[status(thm)],[f16464])).
% 19.04/2.85 fof(f16720,plain,(
% 19.04/2.85 $false|~spl0_237),
% 19.04/2.85 inference(backward_subsumption_resolution,[status(thm)],[f2688,f16465])).
% 19.04/2.85 fof(f16721,plain,(
% 19.04/2.85 ~spl0_237),
% 19.04/2.85 inference(contradiction_clause,[status(thm)],[f16720])).
% 19.04/2.85 fof(f17893,plain,(
% 19.04/2.85 $false|spl0_236),
% 19.04/2.85 inference(forward_subsumption_resolution,[status(thm)],[f15650,f2036])).
% 19.04/2.85 fof(f17894,plain,(
% 19.04/2.85 spl0_236),
% 19.04/2.85 inference(contradiction_clause,[status(thm)],[f17893])).
% 19.04/2.85 fof(f25451,plain,(
% 19.04/2.85 ![X0,X1]: (~rel_str(X0)|~subrelstr(X1,X0)|subset(the_carrier(X1),the_carrier(X0)))),
% 19.04/2.85 inference(forward_subsumption_resolution,[status(thm)],[f1111,f1970])).
% 19.04/2.85 fof(f25452,plain,(
% 19.04/2.85 ~rel_str(sk0_408)|~subrelstr(sk0_409,sk0_408)),
% 19.04/2.85 inference(resolution,[status(thm)],[f25451,f3604])).
% 19.04/2.85 fof(f25453,plain,(
% 19.04/2.85 ~spl0_53|~spl0_57),
% 19.04/2.85 inference(split_clause,[status(thm)],[f25452,f5006,f5031])).
% 19.04/2.85 fof(f25496,plain,(
% 19.04/2.85 $false),
% 19.04/2.85 inference(sat_refutation,[status(thm)],[f5010,f5012,f5023,f5035,f6321,f8539,f9683,f10858,f10860,f11236,f13633,f13893,f16721,f17894,f25453])).
% 19.04/2.85 % SZS output end CNFRefutation for theBenchmark.p
% 19.04/2.86 % Elapsed time: 2.541177 seconds
% 19.04/2.86 % CPU time: 19.085493 seconds
% 19.04/2.86 % Memory used: 224.728 MB
%------------------------------------------------------------------------------