TSTP Solution File: SET654+3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET654+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 20:40:06 EDT 2024
% Result : Theorem 0.20s 0.35s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET654+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n025.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 : 300
% 0.14/0.34 % DateTime : Mon Apr 29 21:40:11 EDT 2024
% 0.20/0.34 % CPUTime :
% 0.20/0.35 % Drodi V3.6.0
% 0.20/0.35 % Refutation found
% 0.20/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.35 fof(f1,axiom,(
% 0.20/0.35 (! [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) ) ) )) )) )),
% 0.20/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.35 fof(f2,axiom,(
% 0.20/0.35 (! [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) ) ) )) )) )),
% 0.20/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.35 fof(f3,axiom,(
% 0.20/0.35 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(D,B))=> ( subset(range_of(E),C)=> ilf_type(E,relation_type(D,C)) ) ) )) )) )) )),
% 0.20/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.35 fof(f22,axiom,(
% 0.20/0.35 (! [B] : ilf_type(B,set_type) )),
% 0.20/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.35 fof(f23,conjecture,(
% 0.20/0.35 (! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(D,B))=> ( subset(B,C)=> ilf_type(E,relation_type(D,C)) ) ) )) )) )) )),
% 0.20/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.35 fof(f24,negated_conjecture,(
% 0.20/0.35 ~((! [B] :( ilf_type(B,set_type)=> (! [C] :( ilf_type(C,set_type)=> (! [D] :( ilf_type(D,set_type)=> (! [E] :( ilf_type(E,relation_type(D,B))=> ( subset(B,C)=> ilf_type(E,relation_type(D,C)) ) ) )) )) )) ))),
% 0.20/0.35 inference(negated_conjecture,[status(cth)],[f23])).
% 0.20/0.35 fof(f25,plain,(
% 0.20/0.35 ![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)))))))),
% 0.20/0.35 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.20/0.35 fof(f26,plain,(
% 0.20/0.35 ![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))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f25])).
% 0.20/0.35 fof(f27,plain,(
% 0.20/0.35 ![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)))))))),
% 0.20/0.35 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.20/0.35 fof(f29,plain,(
% 0.20/0.35 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X0,X1))|subset(range_of(X2),X1))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f27])).
% 0.20/0.35 fof(f30,plain,(
% 0.20/0.35 ![B]: (~ilf_type(B,set_type)|(![C]: (~ilf_type(C,set_type)|(![D]: (~ilf_type(D,set_type)|(![E]: (~ilf_type(E,relation_type(D,B))|(~subset(range_of(E),C)|ilf_type(E,relation_type(D,C))))))))))),
% 0.20/0.35 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.20/0.35 fof(f31,plain,(
% 0.20/0.35 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,set_type)|~ilf_type(X3,relation_type(X2,X0))|~subset(range_of(X3),X1)|ilf_type(X3,relation_type(X2,X1)))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f30])).
% 0.20/0.35 fof(f98,plain,(
% 0.20/0.35 ![X0]: (ilf_type(X0,set_type))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f22])).
% 0.20/0.35 fof(f99,plain,(
% 0.20/0.35 (?[B]: (ilf_type(B,set_type)&(?[C]: (ilf_type(C,set_type)&(?[D]: (ilf_type(D,set_type)&(?[E]: (ilf_type(E,relation_type(D,B))&(subset(B,C)&~ilf_type(E,relation_type(D,C)))))))))))),
% 0.20/0.35 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.20/0.35 fof(f100,plain,(
% 0.20/0.35 (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_11,sk0_9))&(subset(sk0_9,sk0_10)&~ilf_type(sk0_12,relation_type(sk0_11,sk0_10)))))))),
% 0.20/0.35 inference(skolemization,[status(esa)],[f99])).
% 0.20/0.35 fof(f104,plain,(
% 0.20/0.35 ilf_type(sk0_12,relation_type(sk0_11,sk0_9))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f100])).
% 0.20/0.35 fof(f105,plain,(
% 0.20/0.35 subset(sk0_9,sk0_10)),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f100])).
% 0.20/0.35 fof(f106,plain,(
% 0.20/0.35 ~ilf_type(sk0_12,relation_type(sk0_11,sk0_10))),
% 0.20/0.35 inference(cnf_transformation,[status(esa)],[f100])).
% 0.20/0.35 fof(f108,plain,(
% 0.20/0.35 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~subset(X2,X0)|~subset(X0,X1)|subset(X2,X1))),
% 0.20/0.35 inference(forward_subsumption_resolution,[status(thm)],[f26,f98])).
% 0.20/0.36 fof(f137,plain,(
% 0.20/0.36 ![X0,X1,X2]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X0))|subset(range_of(X1),X0))),
% 0.20/0.36 inference(forward_subsumption_resolution,[status(thm)],[f29,f98])).
% 0.20/0.36 fof(f138,plain,(
% 0.20/0.36 ![X0,X1,X2]: (~ilf_type(X0,relation_type(X1,X2))|subset(range_of(X0),X2))),
% 0.20/0.36 inference(resolution,[status(thm)],[f137,f98])).
% 0.20/0.36 fof(f139,plain,(
% 0.20/0.36 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,set_type)|~ilf_type(X2,relation_type(X1,X3))|~subset(range_of(X2),X0)|ilf_type(X2,relation_type(X1,X0)))),
% 0.20/0.36 inference(forward_subsumption_resolution,[status(thm)],[f31,f98])).
% 0.20/0.36 fof(f140,plain,(
% 0.20/0.36 ![X0,X1,X2,X3]: (~ilf_type(X0,set_type)|~ilf_type(X1,relation_type(X2,X3))|~subset(range_of(X1),X0)|ilf_type(X1,relation_type(X2,X0)))),
% 0.20/0.36 inference(resolution,[status(thm)],[f139,f98])).
% 0.20/0.36 fof(f141,plain,(
% 0.20/0.36 ![X0,X1,X2,X3]: (~ilf_type(X0,relation_type(X1,X2))|~subset(range_of(X0),X3)|ilf_type(X0,relation_type(X1,X3)))),
% 0.20/0.36 inference(forward_subsumption_resolution,[status(thm)],[f140,f98])).
% 0.20/0.36 fof(f146,plain,(
% 0.20/0.36 subset(range_of(sk0_12),sk0_9)),
% 0.20/0.36 inference(resolution,[status(thm)],[f138,f104])).
% 0.20/0.36 fof(f150,plain,(
% 0.20/0.36 spl0_0 <=> ~ilf_type(sk0_12,relation_type(sk0_11,X0))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f151,plain,(
% 0.20/0.36 ![X0]: (~ilf_type(sk0_12,relation_type(sk0_11,X0))|~spl0_0)),
% 0.20/0.36 inference(component_clause,[status(thm)],[f150])).
% 0.20/0.36 fof(f153,plain,(
% 0.20/0.36 spl0_1 <=> subset(range_of(sk0_12),sk0_10)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f155,plain,(
% 0.20/0.36 ~subset(range_of(sk0_12),sk0_10)|spl0_1),
% 0.20/0.36 inference(component_clause,[status(thm)],[f153])).
% 0.20/0.36 fof(f156,plain,(
% 0.20/0.36 ![X0]: (~ilf_type(sk0_12,relation_type(sk0_11,X0))|~subset(range_of(sk0_12),sk0_10))),
% 0.20/0.36 inference(resolution,[status(thm)],[f141,f106])).
% 0.20/0.36 fof(f157,plain,(
% 0.20/0.36 spl0_0|~spl0_1),
% 0.20/0.36 inference(split_clause,[status(thm)],[f156,f150,f153])).
% 0.20/0.36 fof(f159,plain,(
% 0.20/0.36 spl0_2 <=> ~ilf_type(X0,set_type)|~subset(range_of(sk0_12),X0)|~subset(X0,sk0_10)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f160,plain,(
% 0.20/0.36 ![X0]: (~ilf_type(X0,set_type)|~subset(range_of(sk0_12),X0)|~subset(X0,sk0_10)|~spl0_2)),
% 0.20/0.36 inference(component_clause,[status(thm)],[f159])).
% 0.20/0.36 fof(f162,plain,(
% 0.20/0.36 spl0_3 <=> ilf_type(sk0_10,set_type)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f164,plain,(
% 0.20/0.36 ~ilf_type(sk0_10,set_type)|spl0_3),
% 0.20/0.36 inference(component_clause,[status(thm)],[f162])).
% 0.20/0.36 fof(f165,plain,(
% 0.20/0.36 ![X0]: (~ilf_type(X0,set_type)|~ilf_type(sk0_10,set_type)|~subset(range_of(sk0_12),X0)|~subset(X0,sk0_10)|spl0_1)),
% 0.20/0.36 inference(resolution,[status(thm)],[f155,f108])).
% 0.20/0.36 fof(f166,plain,(
% 0.20/0.36 spl0_2|~spl0_3|spl0_1),
% 0.20/0.36 inference(split_clause,[status(thm)],[f165,f159,f162,f153])).
% 0.20/0.36 fof(f167,plain,(
% 0.20/0.36 $false|spl0_3),
% 0.20/0.36 inference(forward_subsumption_resolution,[status(thm)],[f164,f98])).
% 0.20/0.36 fof(f168,plain,(
% 0.20/0.36 spl0_3),
% 0.20/0.36 inference(contradiction_clause,[status(thm)],[f167])).
% 0.20/0.36 fof(f169,plain,(
% 0.20/0.36 ![X0]: (~subset(range_of(sk0_12),X0)|~subset(X0,sk0_10)|~spl0_2)),
% 0.20/0.36 inference(forward_subsumption_resolution,[status(thm)],[f160,f98])).
% 0.20/0.36 fof(f170,plain,(
% 0.20/0.36 $false|~spl0_0),
% 0.20/0.36 inference(backward_subsumption_resolution,[status(thm)],[f104,f151])).
% 0.20/0.36 fof(f171,plain,(
% 0.20/0.36 ~spl0_0),
% 0.20/0.36 inference(contradiction_clause,[status(thm)],[f170])).
% 0.20/0.36 fof(f174,plain,(
% 0.20/0.36 ~subset(sk0_9,sk0_10)|~spl0_2),
% 0.20/0.36 inference(resolution,[status(thm)],[f169,f146])).
% 0.20/0.36 fof(f175,plain,(
% 0.20/0.36 $false|~spl0_2),
% 0.20/0.36 inference(forward_subsumption_resolution,[status(thm)],[f174,f105])).
% 0.20/0.36 fof(f176,plain,(
% 0.20/0.36 ~spl0_2),
% 0.20/0.36 inference(contradiction_clause,[status(thm)],[f175])).
% 0.20/0.36 fof(f177,plain,(
% 0.20/0.36 $false),
% 0.20/0.36 inference(sat_refutation,[status(thm)],[f157,f166,f168,f171,f176])).
% 0.20/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.37 % Elapsed time: 0.021911 seconds
% 0.20/0.37 % CPU time: 0.036036 seconds
% 0.20/0.37 % Total memory used: 11.376 MB
% 0.20/0.37 % Net memory used: 11.292 MB
%------------------------------------------------------------------------------