TSTP Solution File: SET598+3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET598+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 20:39:55 EDT 2024
% Result : Theorem 0.20s 0.39s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET598+3 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n021.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 21:55:10 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.37 % Drodi V3.6.0
% 0.20/0.39 % Refutation found
% 0.20/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.39 fof(f1,axiom,(
% 0.20/0.39 (! [B,C] : subset(intersection(B,C),B) )),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f2,axiom,(
% 0.20/0.39 (! [B,C,D] :( ( subset(B,C)& subset(B,D) )=> subset(B,intersection(C,D)) ) )),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f5,axiom,(
% 0.20/0.39 (! [B,C] :( B = C<=> ( subset(B,C)& subset(C,B) ) ) )),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f6,axiom,(
% 0.20/0.39 (! [B,C] : intersection(B,C) = intersection(C,B) )),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f9,conjecture,(
% 0.20/0.39 (! [B,C,D] :( B = intersection(C,D)<=> ( subset(B,C)& subset(B,D)& (! [E] :( ( subset(E,C)& subset(E,D) )=> subset(E,B) ) )) ) )),
% 0.20/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.39 fof(f10,negated_conjecture,(
% 0.20/0.39 ~((! [B,C,D] :( B = intersection(C,D)<=> ( subset(B,C)& subset(B,D)& (! [E] :( ( subset(E,C)& subset(E,D) )=> subset(E,B) ) )) ) ))),
% 0.20/0.39 inference(negated_conjecture,[status(cth)],[f9])).
% 0.20/0.39 fof(f11,plain,(
% 0.20/0.39 ![X0,X1]: (subset(intersection(X0,X1),X0))),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f1])).
% 0.20/0.39 fof(f12,plain,(
% 0.20/0.39 ![B,C,D]: ((~subset(B,C)|~subset(B,D))|subset(B,intersection(C,D)))),
% 0.20/0.39 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.20/0.39 fof(f13,plain,(
% 0.20/0.39 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X0,X2)|subset(X0,intersection(X1,X2)))),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f12])).
% 0.20/0.39 fof(f26,plain,(
% 0.20/0.39 ![B,C]: ((~B=C|(subset(B,C)&subset(C,B)))&(B=C|(~subset(B,C)|~subset(C,B))))),
% 0.20/0.39 inference(NNF_transformation,[status(esa)],[f5])).
% 0.20/0.39 fof(f27,plain,(
% 0.20/0.39 (![B,C]: (~B=C|(subset(B,C)&subset(C,B))))&(![B,C]: (B=C|(~subset(B,C)|~subset(C,B))))),
% 0.20/0.39 inference(miniscoping,[status(esa)],[f26])).
% 0.20/0.39 fof(f28,plain,(
% 0.20/0.39 ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f27])).
% 0.20/0.39 fof(f30,plain,(
% 0.20/0.39 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f27])).
% 0.20/0.39 fof(f31,plain,(
% 0.20/0.39 ![X0,X1]: (intersection(X0,X1)=intersection(X1,X0))),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.39 fof(f40,plain,(
% 0.20/0.39 (?[B,C,D]: (B=intersection(C,D)<~>((subset(B,C)&subset(B,D))&(![E]: ((~subset(E,C)|~subset(E,D))|subset(E,B))))))),
% 0.20/0.39 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.20/0.39 fof(f41,plain,(
% 0.20/0.39 ?[B,C,D]: ((B=intersection(C,D)|((subset(B,C)&subset(B,D))&(![E]: ((~subset(E,C)|~subset(E,D))|subset(E,B)))))&(~B=intersection(C,D)|((~subset(B,C)|~subset(B,D))|(?[E]: ((subset(E,C)&subset(E,D))&~subset(E,B))))))),
% 0.20/0.39 inference(NNF_transformation,[status(esa)],[f40])).
% 0.20/0.39 fof(f42,plain,(
% 0.20/0.39 ((sk0_2=intersection(sk0_3,sk0_4)|((subset(sk0_2,sk0_3)&subset(sk0_2,sk0_4))&(![E]: ((~subset(E,sk0_3)|~subset(E,sk0_4))|subset(E,sk0_2)))))&(~sk0_2=intersection(sk0_3,sk0_4)|((~subset(sk0_2,sk0_3)|~subset(sk0_2,sk0_4))|((subset(sk0_5,sk0_3)&subset(sk0_5,sk0_4))&~subset(sk0_5,sk0_2)))))),
% 0.20/0.39 inference(skolemization,[status(esa)],[f41])).
% 0.20/0.39 fof(f43,plain,(
% 0.20/0.39 sk0_2=intersection(sk0_3,sk0_4)|subset(sk0_2,sk0_3)),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f42])).
% 0.20/0.39 fof(f44,plain,(
% 0.20/0.39 sk0_2=intersection(sk0_3,sk0_4)|subset(sk0_2,sk0_4)),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f42])).
% 0.20/0.39 fof(f45,plain,(
% 0.20/0.39 ![X0]: (sk0_2=intersection(sk0_3,sk0_4)|~subset(X0,sk0_3)|~subset(X0,sk0_4)|subset(X0,sk0_2))),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f42])).
% 0.20/0.39 fof(f46,plain,(
% 0.20/0.39 ~sk0_2=intersection(sk0_3,sk0_4)|~subset(sk0_2,sk0_3)|~subset(sk0_2,sk0_4)|subset(sk0_5,sk0_3)),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f42])).
% 0.20/0.39 fof(f47,plain,(
% 0.20/0.39 ~sk0_2=intersection(sk0_3,sk0_4)|~subset(sk0_2,sk0_3)|~subset(sk0_2,sk0_4)|subset(sk0_5,sk0_4)),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f42])).
% 0.20/0.39 fof(f48,plain,(
% 0.20/0.39 ~sk0_2=intersection(sk0_3,sk0_4)|~subset(sk0_2,sk0_3)|~subset(sk0_2,sk0_4)|~subset(sk0_5,sk0_2)),
% 0.20/0.39 inference(cnf_transformation,[status(esa)],[f42])).
% 0.20/0.39 fof(f49,plain,(
% 0.20/0.39 spl0_0 <=> sk0_2=intersection(sk0_3,sk0_4)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f50,plain,(
% 0.20/0.39 sk0_2=intersection(sk0_3,sk0_4)|~spl0_0),
% 0.20/0.39 inference(component_clause,[status(thm)],[f49])).
% 0.20/0.39 fof(f52,plain,(
% 0.20/0.39 spl0_1 <=> subset(sk0_2,sk0_3)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f53,plain,(
% 0.20/0.39 subset(sk0_2,sk0_3)|~spl0_1),
% 0.20/0.39 inference(component_clause,[status(thm)],[f52])).
% 0.20/0.39 fof(f55,plain,(
% 0.20/0.39 spl0_0|spl0_1),
% 0.20/0.39 inference(split_clause,[status(thm)],[f43,f49,f52])).
% 0.20/0.39 fof(f56,plain,(
% 0.20/0.39 spl0_2 <=> subset(sk0_2,sk0_4)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f57,plain,(
% 0.20/0.39 subset(sk0_2,sk0_4)|~spl0_2),
% 0.20/0.39 inference(component_clause,[status(thm)],[f56])).
% 0.20/0.39 fof(f59,plain,(
% 0.20/0.39 spl0_0|spl0_2),
% 0.20/0.39 inference(split_clause,[status(thm)],[f44,f49,f56])).
% 0.20/0.39 fof(f60,plain,(
% 0.20/0.39 spl0_3 <=> ~subset(X0,sk0_3)|~subset(X0,sk0_4)|subset(X0,sk0_2)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f61,plain,(
% 0.20/0.39 ![X0]: (~subset(X0,sk0_3)|~subset(X0,sk0_4)|subset(X0,sk0_2)|~spl0_3)),
% 0.20/0.39 inference(component_clause,[status(thm)],[f60])).
% 0.20/0.39 fof(f63,plain,(
% 0.20/0.39 spl0_0|spl0_3),
% 0.20/0.39 inference(split_clause,[status(thm)],[f45,f49,f60])).
% 0.20/0.39 fof(f64,plain,(
% 0.20/0.39 spl0_4 <=> subset(sk0_5,sk0_3)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f67,plain,(
% 0.20/0.39 ~spl0_0|~spl0_1|~spl0_2|spl0_4),
% 0.20/0.39 inference(split_clause,[status(thm)],[f46,f49,f52,f56,f64])).
% 0.20/0.39 fof(f68,plain,(
% 0.20/0.39 spl0_5 <=> subset(sk0_5,sk0_4)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f69,plain,(
% 0.20/0.39 subset(sk0_5,sk0_4)|~spl0_5),
% 0.20/0.39 inference(component_clause,[status(thm)],[f68])).
% 0.20/0.39 fof(f71,plain,(
% 0.20/0.39 ~spl0_0|~spl0_1|~spl0_2|spl0_5),
% 0.20/0.39 inference(split_clause,[status(thm)],[f47,f49,f52,f56,f68])).
% 0.20/0.39 fof(f72,plain,(
% 0.20/0.39 spl0_6 <=> subset(sk0_5,sk0_2)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f74,plain,(
% 0.20/0.39 ~subset(sk0_5,sk0_2)|spl0_6),
% 0.20/0.39 inference(component_clause,[status(thm)],[f72])).
% 0.20/0.39 fof(f75,plain,(
% 0.20/0.39 ~spl0_0|~spl0_1|~spl0_2|~spl0_6),
% 0.20/0.39 inference(split_clause,[status(thm)],[f48,f49,f52,f56,f72])).
% 0.20/0.39 fof(f76,plain,(
% 0.20/0.39 ![X0]: (subset(X0,X0))),
% 0.20/0.39 inference(destructive_equality_resolution,[status(esa)],[f28])).
% 0.20/0.39 fof(f78,plain,(
% 0.20/0.39 ![X0,X1]: (subset(intersection(X0,X1),X1))),
% 0.20/0.39 inference(paramodulation,[status(thm)],[f31,f11])).
% 0.20/0.39 fof(f86,plain,(
% 0.20/0.39 ![X0,X1,X2]: (intersection(X0,X1)=X2|~subset(intersection(X0,X1),X2)|~subset(X2,X0)|~subset(X2,X1))),
% 0.20/0.39 inference(resolution,[status(thm)],[f30,f13])).
% 0.20/0.39 fof(f173,plain,(
% 0.20/0.39 spl0_9 <=> sk0_4=sk0_2),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f174,plain,(
% 0.20/0.39 sk0_4=sk0_2|~spl0_9),
% 0.20/0.39 inference(component_clause,[status(thm)],[f173])).
% 0.20/0.39 fof(f176,plain,(
% 0.20/0.39 spl0_10 <=> subset(sk0_4,sk0_2)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f179,plain,(
% 0.20/0.39 sk0_4=sk0_2|~subset(sk0_4,sk0_2)|~spl0_2),
% 0.20/0.39 inference(resolution,[status(thm)],[f57,f30])).
% 0.20/0.39 fof(f180,plain,(
% 0.20/0.39 spl0_9|~spl0_10|~spl0_2),
% 0.20/0.39 inference(split_clause,[status(thm)],[f179,f173,f176,f56])).
% 0.20/0.39 fof(f181,plain,(
% 0.20/0.39 spl0_11 <=> sk0_3=sk0_2),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f184,plain,(
% 0.20/0.39 spl0_12 <=> subset(sk0_3,sk0_2)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f187,plain,(
% 0.20/0.39 sk0_3=sk0_2|~subset(sk0_3,sk0_2)|~spl0_1),
% 0.20/0.39 inference(resolution,[status(thm)],[f53,f30])).
% 0.20/0.39 fof(f188,plain,(
% 0.20/0.39 spl0_11|~spl0_12|~spl0_1),
% 0.20/0.39 inference(split_clause,[status(thm)],[f187,f181,f184,f52])).
% 0.20/0.39 fof(f189,plain,(
% 0.20/0.39 spl0_13 <=> subset(sk0_2,sk0_2)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f191,plain,(
% 0.20/0.39 ~subset(sk0_2,sk0_2)|spl0_13),
% 0.20/0.39 inference(component_clause,[status(thm)],[f189])).
% 0.20/0.39 fof(f195,plain,(
% 0.20/0.39 ![X0]: (~subset(intersection(sk0_4,X0),sk0_3)|subset(intersection(sk0_4,X0),sk0_2)|~spl0_3)),
% 0.20/0.39 inference(resolution,[status(thm)],[f61,f11])).
% 0.20/0.39 fof(f196,plain,(
% 0.20/0.39 spl0_14 <=> subset(sk0_4,sk0_3)),
% 0.20/0.39 introduced(split_symbol_definition)).
% 0.20/0.39 fof(f198,plain,(
% 0.20/0.39 ~subset(sk0_4,sk0_3)|spl0_14),
% 0.20/0.39 inference(component_clause,[status(thm)],[f196])).
% 0.20/0.39 fof(f199,plain,(
% 0.20/0.39 ~subset(sk0_4,sk0_3)|subset(sk0_4,sk0_2)|~spl0_3),
% 0.20/0.39 inference(resolution,[status(thm)],[f61,f76])).
% 0.20/0.39 fof(f200,plain,(
% 0.20/0.39 ~spl0_14|spl0_10|~spl0_3),
% 0.20/0.39 inference(split_clause,[status(thm)],[f199,f196,f176,f60])).
% 0.20/0.39 fof(f202,plain,(
% 0.20/0.39 ~subset(sk0_2,sk0_3)|~spl0_9|spl0_14),
% 0.20/0.39 inference(forward_demodulation,[status(thm)],[f174,f198])).
% 0.20/0.39 fof(f249,plain,(
% 0.20/0.39 $false|~spl0_9|spl0_14|~spl0_1),
% 0.20/0.39 inference(forward_subsumption_resolution,[status(thm)],[f53,f202])).
% 0.20/0.40 fof(f250,plain,(
% 0.20/0.40 ~spl0_9|spl0_14|~spl0_1),
% 0.20/0.40 inference(contradiction_clause,[status(thm)],[f249])).
% 0.20/0.40 fof(f294,plain,(
% 0.20/0.40 subset(sk0_2,sk0_4)|~spl0_0),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f50,f78])).
% 0.20/0.40 fof(f295,plain,(
% 0.20/0.40 spl0_2|~spl0_0),
% 0.20/0.40 inference(split_clause,[status(thm)],[f294,f56,f49])).
% 0.20/0.40 fof(f296,plain,(
% 0.20/0.40 ![X0]: (~subset(X0,sk0_3)|~subset(X0,sk0_4)|subset(X0,sk0_2)|~spl0_0)),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f50,f13])).
% 0.20/0.40 fof(f297,plain,(
% 0.20/0.40 subset(sk0_2,sk0_3)|~spl0_0),
% 0.20/0.40 inference(paramodulation,[status(thm)],[f50,f11])).
% 0.20/0.40 fof(f298,plain,(
% 0.20/0.40 spl0_1|~spl0_0),
% 0.20/0.40 inference(split_clause,[status(thm)],[f297,f52,f49])).
% 0.20/0.40 fof(f299,plain,(
% 0.20/0.40 $false|spl0_13),
% 0.20/0.40 inference(forward_subsumption_resolution,[status(thm)],[f191,f76])).
% 0.20/0.40 fof(f300,plain,(
% 0.20/0.40 spl0_13),
% 0.20/0.40 inference(contradiction_clause,[status(thm)],[f299])).
% 0.20/0.40 fof(f310,plain,(
% 0.20/0.40 subset(sk0_5,sk0_2)|~spl0_9|~spl0_5),
% 0.20/0.40 inference(backward_demodulation,[status(thm)],[f174,f69])).
% 0.20/0.40 fof(f311,plain,(
% 0.20/0.40 $false|spl0_6|~spl0_9|~spl0_5),
% 0.20/0.40 inference(forward_subsumption_resolution,[status(thm)],[f310,f74])).
% 0.20/0.40 fof(f312,plain,(
% 0.20/0.40 spl0_6|~spl0_9|~spl0_5),
% 0.20/0.40 inference(contradiction_clause,[status(thm)],[f311])).
% 0.20/0.40 fof(f338,plain,(
% 0.20/0.40 subset(intersection(sk0_4,sk0_3),sk0_2)|~spl0_3),
% 0.20/0.40 inference(resolution,[status(thm)],[f195,f78])).
% 0.20/0.40 fof(f339,plain,(
% 0.20/0.40 subset(intersection(sk0_3,sk0_4),sk0_2)|~spl0_3),
% 0.20/0.40 inference(forward_demodulation,[status(thm)],[f31,f338])).
% 0.20/0.40 fof(f782,plain,(
% 0.20/0.40 intersection(sk0_3,sk0_4)=sk0_2|~subset(sk0_2,sk0_3)|~subset(sk0_2,sk0_4)|~spl0_3),
% 0.20/0.40 inference(resolution,[status(thm)],[f339,f86])).
% 0.20/0.40 fof(f783,plain,(
% 0.20/0.40 spl0_0|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.40 inference(split_clause,[status(thm)],[f782,f49,f52,f56,f60])).
% 0.20/0.40 fof(f789,plain,(
% 0.20/0.40 ~subset(sk0_5,sk0_3)|subset(sk0_5,sk0_2)|~spl0_5|~spl0_3),
% 0.20/0.40 inference(resolution,[status(thm)],[f69,f61])).
% 0.20/0.40 fof(f790,plain,(
% 0.20/0.40 ~spl0_4|spl0_6|~spl0_5|~spl0_3),
% 0.20/0.40 inference(split_clause,[status(thm)],[f789,f64,f72,f68,f60])).
% 0.20/0.40 fof(f793,plain,(
% 0.20/0.40 spl0_3|~spl0_0),
% 0.20/0.40 inference(split_clause,[status(thm)],[f296,f60,f49])).
% 0.20/0.40 fof(f794,plain,(
% 0.20/0.40 $false),
% 0.20/0.40 inference(sat_refutation,[status(thm)],[f55,f59,f63,f67,f71,f75,f180,f188,f200,f250,f295,f298,f300,f312,f783,f790,f793])).
% 0.20/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.40 % Elapsed time: 0.041926 seconds
% 0.20/0.40 % CPU time: 0.189155 seconds
% 0.20/0.40 % Total memory used: 44.655 MB
% 0.20/0.40 % Net memory used: 44.447 MB
%------------------------------------------------------------------------------