TSTP Solution File: SET027+3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET027+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:38:45 EDT 2024
% Result : Theorem 0.14s 0.31s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SET027+3 : TPTP v8.1.2. Released v2.2.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.30 % Computer : n006.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Mon Apr 29 21:27:35 EDT 2024
% 0.08/0.30 % CPUTime :
% 0.08/0.31 % Drodi V3.6.0
% 0.14/0.31 % Refutation found
% 0.14/0.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.31 fof(f1,axiom,(
% 0.14/0.31 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 0.14/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f3,conjecture,(
% 0.14/0.31 (! [B,C,D] :( ( subset(B,C)& subset(C,D) )=> subset(B,D) ) )),
% 0.14/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.31 fof(f4,negated_conjecture,(
% 0.14/0.31 ~((! [B,C,D] :( ( subset(B,C)& subset(C,D) )=> subset(B,D) ) ))),
% 0.14/0.31 inference(negated_conjecture,[status(cth)],[f3])).
% 0.14/0.31 fof(f5,plain,(
% 0.14/0.31 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.14/0.31 fof(f6,plain,(
% 0.14/0.31 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.14/0.31 inference(NNF_transformation,[status(esa)],[f5])).
% 0.14/0.31 fof(f7,plain,(
% 0.14/0.31 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.14/0.31 inference(miniscoping,[status(esa)],[f6])).
% 0.14/0.31 fof(f8,plain,(
% 0.14/0.31 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(member(sk0_0(C,B),B)&~member(sk0_0(C,B),C))))),
% 0.14/0.31 inference(skolemization,[status(esa)],[f7])).
% 0.14/0.31 fof(f9,plain,(
% 0.14/0.31 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.31 fof(f10,plain,(
% 0.14/0.31 ![X0,X1]: (subset(X0,X1)|member(sk0_0(X1,X0),X0))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.31 fof(f11,plain,(
% 0.14/0.31 ![X0,X1]: (subset(X0,X1)|~member(sk0_0(X1,X0),X1))),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.31 fof(f13,plain,(
% 0.14/0.31 (?[B,C,D]: ((subset(B,C)&subset(C,D))&~subset(B,D)))),
% 0.14/0.31 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.14/0.31 fof(f14,plain,(
% 0.14/0.31 ?[B,D]: ((?[C]: (subset(B,C)&subset(C,D)))&~subset(B,D))),
% 0.14/0.31 inference(miniscoping,[status(esa)],[f13])).
% 0.14/0.31 fof(f15,plain,(
% 0.14/0.31 ((subset(sk0_1,sk0_3)&subset(sk0_3,sk0_2))&~subset(sk0_1,sk0_2))),
% 0.14/0.31 inference(skolemization,[status(esa)],[f14])).
% 0.14/0.31 fof(f16,plain,(
% 0.14/0.31 subset(sk0_1,sk0_3)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f15])).
% 0.14/0.31 fof(f17,plain,(
% 0.14/0.31 subset(sk0_3,sk0_2)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f15])).
% 0.14/0.31 fof(f18,plain,(
% 0.14/0.31 ~subset(sk0_1,sk0_2)),
% 0.14/0.31 inference(cnf_transformation,[status(esa)],[f15])).
% 0.14/0.31 fof(f19,plain,(
% 0.14/0.31 ~member(sk0_0(sk0_2,sk0_1),sk0_2)),
% 0.14/0.31 inference(resolution,[status(thm)],[f11,f18])).
% 0.14/0.31 fof(f20,plain,(
% 0.14/0.31 ![X0]: (~subset(X0,sk0_2)|~member(sk0_0(sk0_2,sk0_1),X0))),
% 0.14/0.31 inference(resolution,[status(thm)],[f19,f9])).
% 0.14/0.31 fof(f21,plain,(
% 0.14/0.31 spl0_0 <=> subset(sk0_1,sk0_2)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f22,plain,(
% 0.14/0.31 subset(sk0_1,sk0_2)|~spl0_0),
% 0.14/0.31 inference(component_clause,[status(thm)],[f21])).
% 0.14/0.31 fof(f26,plain,(
% 0.14/0.31 ![X0,X1]: (~subset(X0,sk0_2)|~subset(X1,X0)|~member(sk0_0(sk0_2,sk0_1),X1))),
% 0.14/0.31 inference(resolution,[status(thm)],[f20,f9])).
% 0.14/0.31 fof(f27,plain,(
% 0.14/0.31 spl0_1 <=> ~subset(X0,sk0_2)|~subset(sk0_1,X0)),
% 0.14/0.31 introduced(split_symbol_definition)).
% 0.14/0.31 fof(f28,plain,(
% 0.14/0.31 ![X0]: (~subset(X0,sk0_2)|~subset(sk0_1,X0)|~spl0_1)),
% 0.14/0.31 inference(component_clause,[status(thm)],[f27])).
% 0.14/0.31 fof(f30,plain,(
% 0.14/0.31 ![X0]: (~subset(X0,sk0_2)|~subset(sk0_1,X0)|subset(sk0_1,sk0_2))),
% 0.14/0.31 inference(resolution,[status(thm)],[f26,f10])).
% 0.14/0.31 fof(f31,plain,(
% 0.14/0.31 spl0_1|spl0_0),
% 0.14/0.31 inference(split_clause,[status(thm)],[f30,f27,f21])).
% 0.14/0.31 fof(f33,plain,(
% 0.14/0.31 ~subset(sk0_3,sk0_2)|~spl0_1),
% 0.14/0.31 inference(resolution,[status(thm)],[f28,f16])).
% 0.14/0.31 fof(f34,plain,(
% 0.14/0.31 $false|~spl0_1),
% 0.14/0.31 inference(forward_subsumption_resolution,[status(thm)],[f33,f17])).
% 0.14/0.31 fof(f35,plain,(
% 0.14/0.31 ~spl0_1),
% 0.14/0.31 inference(contradiction_clause,[status(thm)],[f34])).
% 0.14/0.31 fof(f36,plain,(
% 0.14/0.31 $false|~spl0_0),
% 0.14/0.31 inference(forward_subsumption_resolution,[status(thm)],[f22,f18])).
% 0.14/0.31 fof(f37,plain,(
% 0.14/0.31 ~spl0_0),
% 0.14/0.31 inference(contradiction_clause,[status(thm)],[f36])).
% 0.14/0.31 fof(f38,plain,(
% 0.14/0.31 $false),
% 0.14/0.31 inference(sat_refutation,[status(thm)],[f31,f35,f37])).
% 0.14/0.31 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.33 % Elapsed time: 0.012737 seconds
% 0.14/0.33 % CPU time: 0.019905 seconds
% 0.14/0.33 % Total memory used: 1.914 MB
% 0.14/0.33 % Net memory used: 1.797 MB
%------------------------------------------------------------------------------