TSTP Solution File: SEU317+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU317+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 : Tue Apr 30 20:41:55 EDT 2024
% Result : Theorem 3.16s 0.79s
% Output : CNFRefutation 3.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU317+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 19:33:34 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 3.16/0.79 % Refutation found
% 3.16/0.79 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.16/0.79 % SZS output start CNFRefutation for theBenchmark
% 3.16/0.79 fof(f17,axiom,(
% 3.16/0.79 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 3.16/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.16/0.79 fof(f36,axiom,(
% 3.16/0.79 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 3.16/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.16/0.79 fof(f37,axiom,(
% 3.16/0.79 (! [A] :( top_str(A)=> (! [B] :( element(B,powerset(the_carrier(A)))=> (! [C] :( in(C,the_carrier(A))=> ( in(C,topstr_closure(A,B))<=> (! [D] :( element(D,powerset(the_carrier(A)))=> ( ( closed_subset(D,A)& subset(B,D) )=> in(C,D) ) ) )) ) )) )) )),
% 3.16/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.16/0.79 fof(f38,conjecture,(
% 3.16/0.79 (! [A] :( top_str(A)=> (! [B] :( element(B,powerset(the_carrier(A)))=> subset(B,topstr_closure(A,B)) ) )) )),
% 3.16/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.16/0.79 fof(f39,negated_conjecture,(
% 3.16/0.79 ~((! [A] :( top_str(A)=> (! [B] :( element(B,powerset(the_carrier(A)))=> subset(B,topstr_closure(A,B)) ) )) ))),
% 3.16/0.79 inference(negated_conjecture,[status(cth)],[f38])).
% 3.16/0.79 fof(f101,plain,(
% 3.16/0.79 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 3.16/0.79 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 3.16/0.79 fof(f102,plain,(
% 3.16/0.79 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 3.16/0.79 inference(NNF_transformation,[status(esa)],[f101])).
% 3.16/0.79 fof(f103,plain,(
% 3.16/0.79 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 3.16/0.79 inference(miniscoping,[status(esa)],[f102])).
% 3.16/0.79 fof(f104,plain,(
% 3.16/0.79 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sk0_0(B,A),A)&~in(sk0_0(B,A),B))))),
% 3.16/0.79 inference(skolemization,[status(esa)],[f103])).
% 3.16/0.79 fof(f105,plain,(
% 3.16/0.79 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 3.16/0.79 inference(cnf_transformation,[status(esa)],[f104])).
% 3.16/0.79 fof(f106,plain,(
% 3.16/0.79 ![X0,X1]: (subset(X0,X1)|in(sk0_0(X1,X0),X0))),
% 3.16/0.79 inference(cnf_transformation,[status(esa)],[f104])).
% 3.16/0.79 fof(f107,plain,(
% 3.16/0.79 ![X0,X1]: (subset(X0,X1)|~in(sk0_0(X1,X0),X1))),
% 3.16/0.79 inference(cnf_transformation,[status(esa)],[f104])).
% 3.16/0.79 fof(f145,plain,(
% 3.16/0.79 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 3.16/0.79 inference(NNF_transformation,[status(esa)],[f36])).
% 3.16/0.79 fof(f146,plain,(
% 3.16/0.79 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 3.16/0.79 inference(miniscoping,[status(esa)],[f145])).
% 3.16/0.79 fof(f147,plain,(
% 3.16/0.79 ![X0,X1]: (~element(X0,powerset(X1))|subset(X0,X1))),
% 3.16/0.79 inference(cnf_transformation,[status(esa)],[f146])).
% 3.16/0.79 fof(f149,plain,(
% 3.16/0.79 ![A]: (~top_str(A)|(![B]: (~element(B,powerset(the_carrier(A)))|(![C]: (~in(C,the_carrier(A))|(in(C,topstr_closure(A,B))<=>(![D]: (~element(D,powerset(the_carrier(A)))|((~closed_subset(D,A)|~subset(B,D))|in(C,D))))))))))),
% 3.16/0.79 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 3.16/0.79 fof(f150,plain,(
% 3.16/0.79 ![A]: (~top_str(A)|(![B]: (~element(B,powerset(the_carrier(A)))|(![C]: (~in(C,the_carrier(A))|((~in(C,topstr_closure(A,B))|(![D]: (~element(D,powerset(the_carrier(A)))|((~closed_subset(D,A)|~subset(B,D))|in(C,D)))))&(in(C,topstr_closure(A,B))|(?[D]: (element(D,powerset(the_carrier(A)))&((closed_subset(D,A)&subset(B,D))&~in(C,D)))))))))))),
% 3.16/0.79 inference(NNF_transformation,[status(esa)],[f149])).
% 3.16/0.79 fof(f151,plain,(
% 3.16/0.79 ![A]: (~top_str(A)|(![B]: (~element(B,powerset(the_carrier(A)))|(![C]: (~in(C,the_carrier(A))|((~in(C,topstr_closure(A,B))|(![D]: (~element(D,powerset(the_carrier(A)))|((~closed_subset(D,A)|~subset(B,D))|in(C,D)))))&(in(C,topstr_closure(A,B))|(element(sk0_7(C,B,A),powerset(the_carrier(A)))&((closed_subset(sk0_7(C,B,A),A)&subset(B,sk0_7(C,B,A)))&~in(C,sk0_7(C,B,A)))))))))))),
% 3.16/0.79 inference(skolemization,[status(esa)],[f150])).
% 3.16/0.79 fof(f155,plain,(
% 3.16/0.79 ![X0,X1,X2]: (~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~in(X2,the_carrier(X0))|in(X2,topstr_closure(X0,X1))|subset(X1,sk0_7(X2,X1,X0)))),
% 3.16/0.79 inference(cnf_transformation,[status(esa)],[f151])).
% 3.16/0.79 fof(f156,plain,(
% 3.16/0.79 ![X0,X1,X2]: (~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~in(X2,the_carrier(X0))|in(X2,topstr_closure(X0,X1))|~in(X2,sk0_7(X2,X1,X0)))),
% 3.16/0.81 inference(cnf_transformation,[status(esa)],[f151])).
% 3.16/0.81 fof(f157,plain,(
% 3.16/0.81 (?[A]: (top_str(A)&(?[B]: (element(B,powerset(the_carrier(A)))&~subset(B,topstr_closure(A,B))))))),
% 3.16/0.81 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 3.16/0.81 fof(f158,plain,(
% 3.16/0.81 (top_str(sk0_8)&(element(sk0_9,powerset(the_carrier(sk0_8)))&~subset(sk0_9,topstr_closure(sk0_8,sk0_9))))),
% 3.16/0.81 inference(skolemization,[status(esa)],[f157])).
% 3.16/0.81 fof(f159,plain,(
% 3.16/0.81 top_str(sk0_8)),
% 3.16/0.81 inference(cnf_transformation,[status(esa)],[f158])).
% 3.16/0.81 fof(f160,plain,(
% 3.16/0.81 element(sk0_9,powerset(the_carrier(sk0_8)))),
% 3.16/0.81 inference(cnf_transformation,[status(esa)],[f158])).
% 3.16/0.81 fof(f161,plain,(
% 3.16/0.81 ~subset(sk0_9,topstr_closure(sk0_8,sk0_9))),
% 3.16/0.81 inference(cnf_transformation,[status(esa)],[f158])).
% 3.16/0.81 fof(f177,plain,(
% 3.16/0.81 subset(sk0_9,the_carrier(sk0_8))),
% 3.16/0.81 inference(resolution,[status(thm)],[f147,f160])).
% 3.16/0.81 fof(f178,plain,(
% 3.16/0.81 ![X0]: (~in(X0,sk0_9)|in(X0,the_carrier(sk0_8)))),
% 3.16/0.81 inference(resolution,[status(thm)],[f177,f105])).
% 3.16/0.81 fof(f182,plain,(
% 3.16/0.81 spl0_0 <=> top_str(sk0_8)),
% 3.16/0.81 introduced(split_symbol_definition)).
% 3.16/0.81 fof(f184,plain,(
% 3.16/0.81 ~top_str(sk0_8)|spl0_0),
% 3.16/0.81 inference(component_clause,[status(thm)],[f182])).
% 3.16/0.81 fof(f191,plain,(
% 3.16/0.81 $false|spl0_0),
% 3.16/0.81 inference(forward_subsumption_resolution,[status(thm)],[f184,f159])).
% 3.16/0.81 fof(f192,plain,(
% 3.16/0.81 spl0_0),
% 3.16/0.81 inference(contradiction_clause,[status(thm)],[f191])).
% 3.16/0.81 fof(f213,plain,(
% 3.16/0.81 ![X0,X1,X2,X3]: (~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~in(X2,the_carrier(X0))|in(X2,topstr_closure(X0,X1))|~in(X3,X1)|in(X3,sk0_7(X2,X1,X0)))),
% 3.16/0.81 inference(resolution,[status(thm)],[f155,f105])).
% 3.16/0.81 fof(f220,plain,(
% 3.16/0.81 ![X0,X1,X2]: (~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~in(X2,the_carrier(X0))|in(X2,topstr_closure(X0,X1))|~in(X2,X1)|~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~in(X2,the_carrier(X0))|in(X2,topstr_closure(X0,X1)))),
% 3.16/0.81 inference(resolution,[status(thm)],[f213,f156])).
% 3.16/0.81 fof(f221,plain,(
% 3.16/0.81 ![X0,X1,X2]: (~top_str(X0)|~element(X1,powerset(the_carrier(X0)))|~in(X2,the_carrier(X0))|in(X2,topstr_closure(X0,X1))|~in(X2,X1))),
% 3.16/0.81 inference(duplicate_literals_removal,[status(esa)],[f220])).
% 3.16/0.81 fof(f230,plain,(
% 3.16/0.81 spl0_5 <=> ~in(X0,the_carrier(sk0_8))|in(X0,topstr_closure(sk0_8,sk0_9))|~in(X0,sk0_9)),
% 3.16/0.81 introduced(split_symbol_definition)).
% 3.16/0.81 fof(f231,plain,(
% 3.16/0.81 ![X0]: (~in(X0,the_carrier(sk0_8))|in(X0,topstr_closure(sk0_8,sk0_9))|~in(X0,sk0_9)|~spl0_5)),
% 3.16/0.81 inference(component_clause,[status(thm)],[f230])).
% 3.16/0.81 fof(f233,plain,(
% 3.16/0.81 ![X0]: (~top_str(sk0_8)|~in(X0,the_carrier(sk0_8))|in(X0,topstr_closure(sk0_8,sk0_9))|~in(X0,sk0_9))),
% 3.16/0.81 inference(resolution,[status(thm)],[f221,f160])).
% 3.16/0.81 fof(f234,plain,(
% 3.16/0.81 ~spl0_0|spl0_5),
% 3.16/0.81 inference(split_clause,[status(thm)],[f233,f182,f230])).
% 3.16/0.81 fof(f237,plain,(
% 3.16/0.81 ![X0]: (in(X0,topstr_closure(sk0_8,sk0_9))|~in(X0,sk0_9)|~spl0_5)),
% 3.16/0.81 inference(forward_subsumption_resolution,[status(thm)],[f231,f178])).
% 3.16/0.81 fof(f1803,plain,(
% 3.16/0.81 ![X0]: (subset(X0,topstr_closure(sk0_8,sk0_9))|~in(sk0_0(topstr_closure(sk0_8,sk0_9),X0),sk0_9)|~spl0_5)),
% 3.16/0.81 inference(resolution,[status(thm)],[f107,f237])).
% 3.16/0.81 fof(f1935,plain,(
% 3.16/0.81 spl0_110 <=> subset(sk0_9,topstr_closure(sk0_8,sk0_9))),
% 3.16/0.81 introduced(split_symbol_definition)).
% 3.16/0.81 fof(f1936,plain,(
% 3.16/0.81 subset(sk0_9,topstr_closure(sk0_8,sk0_9))|~spl0_110),
% 3.16/0.81 inference(component_clause,[status(thm)],[f1935])).
% 3.16/0.81 fof(f1938,plain,(
% 3.16/0.81 subset(sk0_9,topstr_closure(sk0_8,sk0_9))|subset(sk0_9,topstr_closure(sk0_8,sk0_9))|~spl0_5),
% 3.16/0.81 inference(resolution,[status(thm)],[f1803,f106])).
% 3.16/0.81 fof(f1939,plain,(
% 3.16/0.81 spl0_110|~spl0_5),
% 3.16/0.81 inference(split_clause,[status(thm)],[f1938,f1935,f230])).
% 3.16/0.81 fof(f1940,plain,(
% 3.16/0.81 $false|~spl0_110),
% 3.16/0.81 inference(forward_subsumption_resolution,[status(thm)],[f1936,f161])).
% 3.16/0.81 fof(f1941,plain,(
% 3.16/0.81 ~spl0_110),
% 3.16/0.81 inference(contradiction_clause,[status(thm)],[f1940])).
% 3.16/0.81 fof(f1942,plain,(
% 3.16/0.81 $false),
% 3.16/0.81 inference(sat_refutation,[status(thm)],[f192,f234,f1939,f1941])).
% 3.16/0.81 % SZS output end CNFRefutation for theBenchmark.p
% 3.16/0.82 % Elapsed time: 0.453051 seconds
% 3.16/0.82 % CPU time: 3.473373 seconds
% 3.16/0.82 % Total memory used: 85.647 MB
% 3.16/0.82 % Net memory used: 84.089 MB
%------------------------------------------------------------------------------