TSTP Solution File: SEU355+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU355+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 20:42:03 EDT 2024
% Result : Theorem 0.17s 0.35s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU355+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n014.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Mon Apr 29 19:37:19 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.17/0.34 % Drodi V3.6.0
% 0.17/0.35 % Refutation found
% 0.17/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.35 fof(f3,axiom,(
% 0.17/0.35 (! [A] :( rel_str(A)=> (! [B,C] :( element(C,the_carrier(A))=> ( relstr_element_smaller(A,B,C)<=> (! [D] :( element(D,the_carrier(A))=> ( in(D,B)=> related(A,C,D) ) ) )) ) )) )),
% 0.17/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.35 fof(f4,axiom,(
% 0.17/0.35 (! [A] :( rel_str(A)=> (! [B,C] :( element(C,the_carrier(A))=> ( relstr_set_smaller(A,B,C)<=> (! [D] :( element(D,the_carrier(A))=> ( in(D,B)=> related(A,D,C) ) ) )) ) )) )),
% 0.17/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.35 fof(f13,axiom,(
% 0.17/0.35 empty(empty_set) ),
% 0.17/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.35 fof(f20,conjecture,(
% 0.17/0.35 (! [A] :( rel_str(A)=> (! [B] :( element(B,the_carrier(A))=> ( relstr_set_smaller(A,empty_set,B)& relstr_element_smaller(A,empty_set,B) ) ) )) )),
% 0.17/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.35 fof(f21,negated_conjecture,(
% 0.17/0.35 ~((! [A] :( rel_str(A)=> (! [B] :( element(B,the_carrier(A))=> ( relstr_set_smaller(A,empty_set,B)& relstr_element_smaller(A,empty_set,B) ) ) )) ))),
% 0.17/0.35 inference(negated_conjecture,[status(cth)],[f20])).
% 0.17/0.35 fof(f22,axiom,(
% 0.17/0.35 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 0.17/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.35 fof(f28,plain,(
% 0.17/0.35 ![A]: (~rel_str(A)|(![B,C]: (~element(C,the_carrier(A))|(relstr_element_smaller(A,B,C)<=>(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,C,D))))))))),
% 0.17/0.35 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.17/0.35 fof(f29,plain,(
% 0.17/0.35 ![A]: (~rel_str(A)|(![B,C]: (~element(C,the_carrier(A))|((~relstr_element_smaller(A,B,C)|(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,C,D)))))&(relstr_element_smaller(A,B,C)|(?[D]: (element(D,the_carrier(A))&(in(D,B)&~related(A,C,D)))))))))),
% 0.17/0.35 inference(NNF_transformation,[status(esa)],[f28])).
% 0.17/0.35 fof(f30,plain,(
% 0.17/0.35 ![A]: (~rel_str(A)|(![C]: (~element(C,the_carrier(A))|((![B]: (~relstr_element_smaller(A,B,C)|(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,C,D))))))&(![B]: (relstr_element_smaller(A,B,C)|(?[D]: (element(D,the_carrier(A))&(in(D,B)&~related(A,C,D))))))))))),
% 0.17/0.35 inference(miniscoping,[status(esa)],[f29])).
% 0.17/0.35 fof(f31,plain,(
% 0.17/0.35 ![A]: (~rel_str(A)|(![C]: (~element(C,the_carrier(A))|((![B]: (~relstr_element_smaller(A,B,C)|(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,C,D))))))&(![B]: (relstr_element_smaller(A,B,C)|(element(sk0_0(B,C,A),the_carrier(A))&(in(sk0_0(B,C,A),B)&~related(A,C,sk0_0(B,C,A))))))))))),
% 0.17/0.35 inference(skolemization,[status(esa)],[f30])).
% 0.17/0.35 fof(f34,plain,(
% 0.17/0.35 ![X0,X1,X2]: (~rel_str(X0)|~element(X1,the_carrier(X0))|relstr_element_smaller(X0,X2,X1)|in(sk0_0(X2,X1,X0),X2))),
% 0.17/0.35 inference(cnf_transformation,[status(esa)],[f31])).
% 0.17/0.35 fof(f36,plain,(
% 0.17/0.35 ![A]: (~rel_str(A)|(![B,C]: (~element(C,the_carrier(A))|(relstr_set_smaller(A,B,C)<=>(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,D,C))))))))),
% 0.17/0.35 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.17/0.35 fof(f37,plain,(
% 0.17/0.35 ![A]: (~rel_str(A)|(![B,C]: (~element(C,the_carrier(A))|((~relstr_set_smaller(A,B,C)|(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,D,C)))))&(relstr_set_smaller(A,B,C)|(?[D]: (element(D,the_carrier(A))&(in(D,B)&~related(A,D,C)))))))))),
% 0.17/0.35 inference(NNF_transformation,[status(esa)],[f36])).
% 0.17/0.35 fof(f38,plain,(
% 0.17/0.35 ![A]: (~rel_str(A)|(![C]: (~element(C,the_carrier(A))|((![B]: (~relstr_set_smaller(A,B,C)|(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,D,C))))))&(![B]: (relstr_set_smaller(A,B,C)|(?[D]: (element(D,the_carrier(A))&(in(D,B)&~related(A,D,C))))))))))),
% 0.17/0.35 inference(miniscoping,[status(esa)],[f37])).
% 0.17/0.35 fof(f39,plain,(
% 0.17/0.35 ![A]: (~rel_str(A)|(![C]: (~element(C,the_carrier(A))|((![B]: (~relstr_set_smaller(A,B,C)|(![D]: (~element(D,the_carrier(A))|(~in(D,B)|related(A,D,C))))))&(![B]: (relstr_set_smaller(A,B,C)|(element(sk0_1(B,C,A),the_carrier(A))&(in(sk0_1(B,C,A),B)&~related(A,sk0_1(B,C,A),C)))))))))),
% 0.17/0.35 inference(skolemization,[status(esa)],[f38])).
% 0.17/0.35 fof(f42,plain,(
% 0.17/0.35 ![X0,X1,X2]: (~rel_str(X0)|~element(X1,the_carrier(X0))|relstr_set_smaller(X0,X2,X1)|in(sk0_1(X2,X1,X0),X2))),
% 0.17/0.35 inference(cnf_transformation,[status(esa)],[f39])).
% 0.17/0.35 fof(f52,plain,(
% 0.17/0.35 empty(empty_set)),
% 0.17/0.35 inference(cnf_transformation,[status(esa)],[f13])).
% 0.17/0.35 fof(f66,plain,(
% 0.17/0.35 (?[A]: (rel_str(A)&(?[B]: (element(B,the_carrier(A))&(~relstr_set_smaller(A,empty_set,B)|~relstr_element_smaller(A,empty_set,B))))))),
% 0.17/0.35 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.17/0.35 fof(f67,plain,(
% 0.17/0.35 (rel_str(sk0_8)&(element(sk0_9,the_carrier(sk0_8))&(~relstr_set_smaller(sk0_8,empty_set,sk0_9)|~relstr_element_smaller(sk0_8,empty_set,sk0_9))))),
% 0.17/0.35 inference(skolemization,[status(esa)],[f66])).
% 0.17/0.35 fof(f68,plain,(
% 0.17/0.35 rel_str(sk0_8)),
% 0.17/0.35 inference(cnf_transformation,[status(esa)],[f67])).
% 0.17/0.35 fof(f69,plain,(
% 0.17/0.35 element(sk0_9,the_carrier(sk0_8))),
% 0.17/0.35 inference(cnf_transformation,[status(esa)],[f67])).
% 0.17/0.35 fof(f70,plain,(
% 0.17/0.35 ~relstr_set_smaller(sk0_8,empty_set,sk0_9)|~relstr_element_smaller(sk0_8,empty_set,sk0_9)),
% 0.17/0.35 inference(cnf_transformation,[status(esa)],[f67])).
% 0.17/0.35 fof(f71,plain,(
% 0.17/0.35 ![A,B]: (~in(A,B)|~empty(B))),
% 0.17/0.35 inference(pre_NNF_transformation,[status(esa)],[f22])).
% 0.17/0.35 fof(f72,plain,(
% 0.17/0.35 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 0.17/0.35 inference(miniscoping,[status(esa)],[f71])).
% 0.17/0.35 fof(f73,plain,(
% 0.17/0.35 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 0.17/0.35 inference(cnf_transformation,[status(esa)],[f72])).
% 0.17/0.35 fof(f77,plain,(
% 0.17/0.35 spl0_0 <=> relstr_set_smaller(sk0_8,empty_set,sk0_9)),
% 0.17/0.35 introduced(split_symbol_definition)).
% 0.17/0.35 fof(f79,plain,(
% 0.17/0.35 ~relstr_set_smaller(sk0_8,empty_set,sk0_9)|spl0_0),
% 0.17/0.35 inference(component_clause,[status(thm)],[f77])).
% 0.17/0.35 fof(f80,plain,(
% 0.17/0.35 spl0_1 <=> relstr_element_smaller(sk0_8,empty_set,sk0_9)),
% 0.17/0.35 introduced(split_symbol_definition)).
% 0.17/0.35 fof(f82,plain,(
% 0.17/0.35 ~relstr_element_smaller(sk0_8,empty_set,sk0_9)|spl0_1),
% 0.17/0.35 inference(component_clause,[status(thm)],[f80])).
% 0.17/0.35 fof(f83,plain,(
% 0.17/0.35 ~spl0_0|~spl0_1),
% 0.17/0.35 inference(split_clause,[status(thm)],[f70,f77,f80])).
% 0.17/0.35 fof(f128,plain,(
% 0.17/0.35 ![X0,X1,X2]: (~rel_str(X0)|~element(X1,the_carrier(X0))|relstr_element_smaller(X0,X2,X1)|~empty(X2))),
% 0.17/0.35 inference(resolution,[status(thm)],[f34,f73])).
% 0.17/0.35 fof(f130,plain,(
% 0.17/0.35 spl0_6 <=> rel_str(sk0_8)),
% 0.17/0.35 introduced(split_symbol_definition)).
% 0.17/0.35 fof(f132,plain,(
% 0.17/0.35 ~rel_str(sk0_8)|spl0_6),
% 0.17/0.35 inference(component_clause,[status(thm)],[f130])).
% 0.17/0.35 fof(f133,plain,(
% 0.17/0.35 spl0_7 <=> relstr_element_smaller(sk0_8,X0,sk0_9)|~empty(X0)),
% 0.17/0.35 introduced(split_symbol_definition)).
% 0.17/0.35 fof(f134,plain,(
% 0.17/0.35 ![X0]: (relstr_element_smaller(sk0_8,X0,sk0_9)|~empty(X0)|~spl0_7)),
% 0.17/0.35 inference(component_clause,[status(thm)],[f133])).
% 0.17/0.35 fof(f136,plain,(
% 0.17/0.35 ![X0]: (~rel_str(sk0_8)|relstr_element_smaller(sk0_8,X0,sk0_9)|~empty(X0))),
% 0.17/0.35 inference(resolution,[status(thm)],[f128,f69])).
% 0.17/0.35 fof(f137,plain,(
% 0.17/0.35 ~spl0_6|spl0_7),
% 0.17/0.35 inference(split_clause,[status(thm)],[f136,f130,f133])).
% 0.17/0.35 fof(f139,plain,(
% 0.17/0.35 $false|spl0_6),
% 0.17/0.35 inference(forward_subsumption_resolution,[status(thm)],[f132,f68])).
% 0.17/0.35 fof(f140,plain,(
% 0.17/0.35 spl0_6),
% 0.17/0.35 inference(contradiction_clause,[status(thm)],[f139])).
% 0.17/0.35 fof(f142,plain,(
% 0.17/0.35 ![X0,X1,X2]: (~rel_str(X0)|~element(X1,the_carrier(X0))|relstr_set_smaller(X0,X2,X1)|~empty(X2))),
% 0.17/0.35 inference(resolution,[status(thm)],[f42,f73])).
% 0.17/0.35 fof(f144,plain,(
% 0.17/0.35 spl0_8 <=> relstr_set_smaller(sk0_8,X0,sk0_9)|~empty(X0)),
% 0.17/0.35 introduced(split_symbol_definition)).
% 0.17/0.35 fof(f145,plain,(
% 0.17/0.35 ![X0]: (relstr_set_smaller(sk0_8,X0,sk0_9)|~empty(X0)|~spl0_8)),
% 0.17/0.35 inference(component_clause,[status(thm)],[f144])).
% 0.17/0.35 fof(f147,plain,(
% 0.17/0.35 ![X0]: (~rel_str(sk0_8)|relstr_set_smaller(sk0_8,X0,sk0_9)|~empty(X0))),
% 0.17/0.35 inference(resolution,[status(thm)],[f142,f69])).
% 0.17/0.35 fof(f148,plain,(
% 0.17/0.35 ~spl0_6|spl0_8),
% 0.17/0.35 inference(split_clause,[status(thm)],[f147,f130,f144])).
% 0.17/0.35 fof(f150,plain,(
% 0.17/0.35 ~empty(empty_set)|~spl0_8|spl0_0),
% 0.17/0.35 inference(resolution,[status(thm)],[f145,f79])).
% 0.17/0.35 fof(f151,plain,(
% 0.17/0.35 $false|~spl0_8|spl0_0),
% 0.17/0.35 inference(forward_subsumption_resolution,[status(thm)],[f150,f52])).
% 0.17/0.35 fof(f152,plain,(
% 0.17/0.35 ~spl0_8|spl0_0),
% 0.17/0.35 inference(contradiction_clause,[status(thm)],[f151])).
% 0.17/0.35 fof(f153,plain,(
% 0.17/0.35 ~empty(empty_set)|spl0_1|~spl0_7),
% 0.17/0.35 inference(resolution,[status(thm)],[f82,f134])).
% 0.17/0.35 fof(f154,plain,(
% 0.17/0.35 $false|spl0_1|~spl0_7),
% 0.17/0.35 inference(forward_subsumption_resolution,[status(thm)],[f153,f52])).
% 0.17/0.35 fof(f155,plain,(
% 0.17/0.35 spl0_1|~spl0_7),
% 0.17/0.35 inference(contradiction_clause,[status(thm)],[f154])).
% 0.17/0.35 fof(f156,plain,(
% 0.17/0.35 $false),
% 0.17/0.35 inference(sat_refutation,[status(thm)],[f83,f137,f140,f148,f152,f155])).
% 0.17/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.37 % Elapsed time: 0.024150 seconds
% 0.17/0.37 % CPU time: 0.046816 seconds
% 0.17/0.37 % Total memory used: 13.195 MB
% 0.17/0.37 % Net memory used: 13.146 MB
%------------------------------------------------------------------------------