TSTP Solution File: SET653+3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET653+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:34:56 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET653+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:20:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f1,axiom,(
% 0.13/0.36 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> ( ( subset(B,C)& subset(C,D) )=> subset(B,D) ) ) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f2,axiom,(
% 0.13/0.36 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,relation_type(B,C))=> ( subset(domain_of(D),B)& subset(range_of(D),C) ) ) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f3,axiom,(
% 0.13/0.36 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(B,D))=> ( subset(domain_of(E),C)=> ilf_type(E,relation_type(C,D)) ) ) )) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f22,axiom,(
% 0.13/0.36 (! [B] : ilf_type(B,set_type) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f23,conjecture,(
% 0.13/0.36 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(B,D))=> ( subset(B,C)=> ilf_type(E,relation_type(C,D)) ) ) )) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f24,negated_conjecture,(
% 0.13/0.36 ~((! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(B,D))=> ( subset(B,C)=> ilf_type(E,relation_type(C,D)) ) ) )) )) )) ))),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f23])).
% 0.13/0.36 fof(f25,plain,(
% 0.13/0.36 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|((~subset(B,C)|~subset(C,D))|subset(B,D)))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.13/0.36 fof(f26,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~subset(X0,X1)|~subset(X1,X2)|subset(X0,X2))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f25])).
% 0.13/0.36 fof(f27,plain,(
% 0.13/0.36 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,relation_type(B,C))|(subset(domain_of(D),B)&subset(range_of(D),C)))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.13/0.36 fof(f28,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|subset(domain_of(X2),X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f27])).
% 0.13/0.36 fof(f30,plain,(
% 0.13/0.36 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,relation_type(B,D))|(~subset(domain_of(E),C)|ilf_type(E,relation_type(C,D))))))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.13/0.36 fof(f31,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X0,X2))|~subset(domain_of(X3),X1)|ilf_type(X3,relation_type(X1,X2)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f30])).
% 0.13/0.36 fof(f98,plain,(
% 0.13/0.36 ![X0]: (ilf_type(X0,set_type))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f22])).
% 0.13/0.36 fof(f99,plain,(
% 0.13/0.36 (?[B]: (ilf_type(B,set_type)&(?[C]: (ilf_type(C,set_type)&(?[D]: (ilf_type(D,set_type)&(?[E]: (ilf_type(E,relation_type(B,D))&(subset(B,C)&~ilf_type(E,relation_type(C,D)))))))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.13/0.36 fof(f100,plain,(
% 0.13/0.36 (ilf_type(sk0_9,set_type)&(ilf_type(sk0_10,set_type)&(ilf_type(sk0_11,set_type)&(ilf_type(sk0_12,relation_type(sk0_9,sk0_11))&(subset(sk0_9,sk0_10)&~ilf_type(sk0_12,relation_type(sk0_10,sk0_11)))))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f99])).
% 0.13/0.36 fof(f104,plain,(
% 0.13/0.36 ilf_type(sk0_12,relation_type(sk0_9,sk0_11))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f100])).
% 0.13/0.36 fof(f105,plain,(
% 0.13/0.36 subset(sk0_9,sk0_10)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f100])).
% 0.13/0.36 fof(f106,plain,(
% 0.13/0.36 ~ilf_type(sk0_12,relation_type(sk0_10,sk0_11))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f100])).
% 0.13/0.36 fof(f108,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~subset(X2,X0)|~subset(X0,X1)|subset(X2,X1))),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f26,f98])).
% 0.13/0.36 fof(f109,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~subset(X1,X0)|~subset(X0,X2)|subset(X1,X2))),
% 0.13/0.36 inference(resolution,[status(thm)],[f108,f98])).
% 0.13/0.36 fof(f110,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X1,X2)|subset(X0,X2))),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f109,f98])).
% 0.13/0.36 fof(f134,plain,(
% 0.13/0.36 ![X0]: (~subset(X0,sk0_9)|subset(X0,sk0_10))),
% 0.13/0.36 inference(resolution,[status(thm)],[f110,f105])).
% 0.13/0.36 fof(f147,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|subset(domain_of(X1),X2))),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f28,f98])).
% 0.13/0.36 fof(f148,plain,(
% 0.13/0.36 spl0_5 <=> ilf_type(sk0_11,set_type)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f150,plain,(
% 0.13/0.36 ~ilf_type(sk0_11,set_type)|spl0_5),
% 0.13/0.36 inference(component_clause,[status(thm)],[f148])).
% 0.13/0.36 fof(f151,plain,(
% 0.13/0.36 spl0_6 <=> subset(domain_of(sk0_12),sk0_9)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f152,plain,(
% 0.13/0.36 subset(domain_of(sk0_12),sk0_9)|~spl0_6),
% 0.13/0.36 inference(component_clause,[status(thm)],[f151])).
% 0.13/0.36 fof(f154,plain,(
% 0.13/0.36 ~ilf_type(sk0_11,set_type)|subset(domain_of(sk0_12),sk0_9)),
% 0.13/0.36 inference(resolution,[status(thm)],[f147,f104])).
% 0.13/0.36 fof(f155,plain,(
% 0.13/0.36 ~spl0_5|spl0_6),
% 0.13/0.36 inference(split_clause,[status(thm)],[f154,f148,f151])).
% 0.13/0.36 fof(f156,plain,(
% 0.13/0.36 $false|spl0_5),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f150,f98])).
% 0.13/0.36 fof(f157,plain,(
% 0.13/0.36 spl0_5),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f156])).
% 0.13/0.36 fof(f201,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X3,X1))|~subset(domain_of(X2),X0)|ilf_type(X2,relation_type(X0,X1)))),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f31,f98])).
% 0.13/0.36 fof(f202,plain,(
% 0.13/0.36 spl0_12 <=> ~ilf_type(X0,set_type)|~subset(domain_of(sk0_12),X0)|ilf_type(sk0_12,relation_type(X0,sk0_11))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f203,plain,(
% 0.13/0.36 ![X0]: (~ilf_type(X0,set_type)|~subset(domain_of(sk0_12),X0)|ilf_type(sk0_12,relation_type(X0,sk0_11))|~spl0_12)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f202])).
% 0.13/0.36 fof(f205,plain,(
% 0.13/0.36 ![X0]: (~ilf_type(X0,set_type)|~ilf_type(sk0_11,set_type)|~subset(domain_of(sk0_12),X0)|ilf_type(sk0_12,relation_type(X0,sk0_11)))),
% 0.13/0.36 inference(resolution,[status(thm)],[f201,f104])).
% 0.13/0.36 fof(f206,plain,(
% 0.13/0.36 spl0_12|~spl0_5),
% 0.13/0.36 inference(split_clause,[status(thm)],[f205,f202,f148])).
% 0.13/0.36 fof(f207,plain,(
% 0.13/0.36 ![X0]: (~subset(domain_of(sk0_12),X0)|ilf_type(sk0_12,relation_type(X0,sk0_11))|~spl0_12)),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f203,f98])).
% 0.13/0.36 fof(f212,plain,(
% 0.13/0.36 subset(domain_of(sk0_12),sk0_10)|~spl0_6),
% 0.13/0.36 inference(resolution,[status(thm)],[f152,f134])).
% 0.13/0.36 fof(f269,plain,(
% 0.13/0.36 spl0_22 <=> ilf_type(sk0_5(sk0_9),set_type)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f271,plain,(
% 0.13/0.36 ~ilf_type(sk0_5(sk0_9),set_type)|spl0_22),
% 0.13/0.36 inference(component_clause,[status(thm)],[f269])).
% 0.13/0.36 fof(f289,plain,(
% 0.13/0.36 $false|spl0_22),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f271,f98])).
% 0.13/0.36 fof(f290,plain,(
% 0.13/0.36 spl0_22),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f289])).
% 0.13/0.36 fof(f291,plain,(
% 0.13/0.36 ~subset(domain_of(sk0_12),sk0_10)|~spl0_12),
% 0.13/0.36 inference(resolution,[status(thm)],[f207,f106])).
% 0.13/0.36 fof(f292,plain,(
% 0.13/0.36 $false|~spl0_6|~spl0_12),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f291,f212])).
% 0.13/0.36 fof(f293,plain,(
% 0.13/0.36 ~spl0_6|~spl0_12),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f292])).
% 0.13/0.36 fof(f294,plain,(
% 0.13/0.36 $false),
% 0.13/0.36 inference(sat_refutation,[status(thm)],[f155,f157,f206,f290,f293])).
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 % Elapsed time: 0.024585 seconds
% 0.13/0.37 % CPU time: 0.038993 seconds
% 0.13/0.37 % Memory used: 11.845 MB
%------------------------------------------------------------------------------