TSTP Solution File: SET597+3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET597+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 0.12s 0.29s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SET597+3 : TPTP v8.1.2. Released v2.2.0.
% 0.02/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27 % Computer : n005.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Mon Apr 29 21:37:11 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.12/0.28 % Drodi V3.6.0
% 0.12/0.29 % Refutation found
% 0.12/0.29 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.29 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.29 fof(f1,axiom,(
% 0.12/0.29 (! [B,C] : subset(B,union(B,C)) )),
% 0.12/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.29 fof(f2,axiom,(
% 0.12/0.29 (! [B,C,D] :( ( subset(B,C)& subset(D,C) )=> subset(union(B,D),C) ) )),
% 0.12/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.29 fof(f5,axiom,(
% 0.12/0.29 (! [B,C] :( B = C<=> ( subset(B,C)& subset(C,B) ) ) )),
% 0.12/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.29 fof(f6,axiom,(
% 0.12/0.29 (! [B,C] : union(B,C) = union(C,B) )),
% 0.12/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.29 fof(f9,conjecture,(
% 0.12/0.29 (! [B,C,D] :( B = union(C,D)<=> ( subset(C,B)& subset(D,B)& (! [E] :( ( subset(C,E)& subset(D,E) )=> subset(B,E) ) )) ) )),
% 0.12/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.29 fof(f10,negated_conjecture,(
% 0.12/0.29 ~((! [B,C,D] :( B = union(C,D)<=> ( subset(C,B)& subset(D,B)& (! [E] :( ( subset(C,E)& subset(D,E) )=> subset(B,E) ) )) ) ))),
% 0.12/0.29 inference(negated_conjecture,[status(cth)],[f9])).
% 0.12/0.29 fof(f11,plain,(
% 0.12/0.29 ![X0,X1]: (subset(X0,union(X0,X1)))),
% 0.12/0.29 inference(cnf_transformation,[status(esa)],[f1])).
% 0.12/0.29 fof(f12,plain,(
% 0.12/0.29 ![B,C,D]: ((~subset(B,C)|~subset(D,C))|subset(union(B,D),C))),
% 0.12/0.29 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.12/0.29 fof(f13,plain,(
% 0.12/0.29 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X2,X1)|subset(union(X0,X2),X1))),
% 0.12/0.29 inference(cnf_transformation,[status(esa)],[f12])).
% 0.12/0.29 fof(f26,plain,(
% 0.12/0.29 ![B,C]: ((~B=C|(subset(B,C)&subset(C,B)))&(B=C|(~subset(B,C)|~subset(C,B))))),
% 0.12/0.29 inference(NNF_transformation,[status(esa)],[f5])).
% 0.12/0.29 fof(f27,plain,(
% 0.12/0.29 (![B,C]: (~B=C|(subset(B,C)&subset(C,B))))&(![B,C]: (B=C|(~subset(B,C)|~subset(C,B))))),
% 0.12/0.29 inference(miniscoping,[status(esa)],[f26])).
% 0.12/0.29 fof(f28,plain,(
% 0.12/0.29 ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 0.12/0.29 inference(cnf_transformation,[status(esa)],[f27])).
% 0.12/0.29 fof(f30,plain,(
% 0.12/0.29 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.12/0.29 inference(cnf_transformation,[status(esa)],[f27])).
% 0.12/0.29 fof(f31,plain,(
% 0.12/0.29 ![X0,X1]: (union(X0,X1)=union(X1,X0))),
% 0.12/0.29 inference(cnf_transformation,[status(esa)],[f6])).
% 0.12/0.29 fof(f40,plain,(
% 0.12/0.29 (?[B,C,D]: (B=union(C,D)<~>((subset(C,B)&subset(D,B))&(![E]: ((~subset(C,E)|~subset(D,E))|subset(B,E))))))),
% 0.12/0.29 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.12/0.29 fof(f41,plain,(
% 0.12/0.29 ?[B,C,D]: ((B=union(C,D)|((subset(C,B)&subset(D,B))&(![E]: ((~subset(C,E)|~subset(D,E))|subset(B,E)))))&(~B=union(C,D)|((~subset(C,B)|~subset(D,B))|(?[E]: ((subset(C,E)&subset(D,E))&~subset(B,E))))))),
% 0.12/0.29 inference(NNF_transformation,[status(esa)],[f40])).
% 0.12/0.29 fof(f42,plain,(
% 0.12/0.29 ((sk0_2=union(sk0_3,sk0_4)|((subset(sk0_3,sk0_2)&subset(sk0_4,sk0_2))&(![E]: ((~subset(sk0_3,E)|~subset(sk0_4,E))|subset(sk0_2,E)))))&(~sk0_2=union(sk0_3,sk0_4)|((~subset(sk0_3,sk0_2)|~subset(sk0_4,sk0_2))|((subset(sk0_3,sk0_5)&subset(sk0_4,sk0_5))&~subset(sk0_2,sk0_5)))))),
% 0.12/0.29 inference(skolemization,[status(esa)],[f41])).
% 0.12/0.29 fof(f43,plain,(
% 0.12/0.29 sk0_2=union(sk0_3,sk0_4)|subset(sk0_3,sk0_2)),
% 0.12/0.29 inference(cnf_transformation,[status(esa)],[f42])).
% 0.12/0.29 fof(f44,plain,(
% 0.12/0.29 sk0_2=union(sk0_3,sk0_4)|subset(sk0_4,sk0_2)),
% 0.12/0.29 inference(cnf_transformation,[status(esa)],[f42])).
% 0.12/0.29 fof(f45,plain,(
% 0.12/0.29 ![X0]: (sk0_2=union(sk0_3,sk0_4)|~subset(sk0_3,X0)|~subset(sk0_4,X0)|subset(sk0_2,X0))),
% 0.12/0.29 inference(cnf_transformation,[status(esa)],[f42])).
% 0.12/0.29 fof(f46,plain,(
% 0.12/0.29 ~sk0_2=union(sk0_3,sk0_4)|~subset(sk0_3,sk0_2)|~subset(sk0_4,sk0_2)|subset(sk0_3,sk0_5)),
% 0.12/0.29 inference(cnf_transformation,[status(esa)],[f42])).
% 0.12/0.29 fof(f47,plain,(
% 0.12/0.29 ~sk0_2=union(sk0_3,sk0_4)|~subset(sk0_3,sk0_2)|~subset(sk0_4,sk0_2)|subset(sk0_4,sk0_5)),
% 0.12/0.29 inference(cnf_transformation,[status(esa)],[f42])).
% 0.12/0.29 fof(f48,plain,(
% 0.12/0.29 ~sk0_2=union(sk0_3,sk0_4)|~subset(sk0_3,sk0_2)|~subset(sk0_4,sk0_2)|~subset(sk0_2,sk0_5)),
% 0.12/0.29 inference(cnf_transformation,[status(esa)],[f42])).
% 0.12/0.29 fof(f49,plain,(
% 0.12/0.29 spl0_0 <=> sk0_2=union(sk0_3,sk0_4)),
% 0.12/0.29 introduced(split_symbol_definition)).
% 0.12/0.29 fof(f50,plain,(
% 0.12/0.29 sk0_2=union(sk0_3,sk0_4)|~spl0_0),
% 0.12/0.29 inference(component_clause,[status(thm)],[f49])).
% 0.12/0.29 fof(f52,plain,(
% 0.12/0.29 spl0_1 <=> subset(sk0_3,sk0_2)),
% 0.12/0.29 introduced(split_symbol_definition)).
% 0.12/0.29 fof(f55,plain,(
% 0.12/0.29 spl0_0|spl0_1),
% 0.12/0.29 inference(split_clause,[status(thm)],[f43,f49,f52])).
% 0.12/0.29 fof(f56,plain,(
% 0.12/0.29 spl0_2 <=> subset(sk0_4,sk0_2)),
% 0.12/0.29 introduced(split_symbol_definition)).
% 0.12/0.29 fof(f59,plain,(
% 0.12/0.29 spl0_0|spl0_2),
% 0.12/0.29 inference(split_clause,[status(thm)],[f44,f49,f56])).
% 0.12/0.29 fof(f60,plain,(
% 0.12/0.29 spl0_3 <=> ~subset(sk0_3,X0)|~subset(sk0_4,X0)|subset(sk0_2,X0)),
% 0.12/0.29 introduced(split_symbol_definition)).
% 0.12/0.29 fof(f61,plain,(
% 0.12/0.29 ![X0]: (~subset(sk0_3,X0)|~subset(sk0_4,X0)|subset(sk0_2,X0)|~spl0_3)),
% 0.12/0.29 inference(component_clause,[status(thm)],[f60])).
% 0.12/0.29 fof(f63,plain,(
% 0.12/0.29 spl0_0|spl0_3),
% 0.12/0.29 inference(split_clause,[status(thm)],[f45,f49,f60])).
% 0.12/0.29 fof(f64,plain,(
% 0.12/0.29 spl0_4 <=> subset(sk0_3,sk0_5)),
% 0.12/0.29 introduced(split_symbol_definition)).
% 0.12/0.29 fof(f67,plain,(
% 0.12/0.29 ~spl0_0|~spl0_1|~spl0_2|spl0_4),
% 0.12/0.29 inference(split_clause,[status(thm)],[f46,f49,f52,f56,f64])).
% 0.12/0.29 fof(f68,plain,(
% 0.12/0.29 spl0_5 <=> subset(sk0_4,sk0_5)),
% 0.12/0.29 introduced(split_symbol_definition)).
% 0.12/0.29 fof(f69,plain,(
% 0.12/0.29 subset(sk0_4,sk0_5)|~spl0_5),
% 0.12/0.29 inference(component_clause,[status(thm)],[f68])).
% 0.12/0.29 fof(f70,plain,(
% 0.12/0.29 ~subset(sk0_4,sk0_5)|spl0_5),
% 0.12/0.29 inference(component_clause,[status(thm)],[f68])).
% 0.12/0.29 fof(f71,plain,(
% 0.12/0.29 ~spl0_0|~spl0_1|~spl0_2|spl0_5),
% 0.12/0.29 inference(split_clause,[status(thm)],[f47,f49,f52,f56,f68])).
% 0.12/0.29 fof(f72,plain,(
% 0.12/0.29 spl0_6 <=> subset(sk0_2,sk0_5)),
% 0.12/0.29 introduced(split_symbol_definition)).
% 0.12/0.29 fof(f74,plain,(
% 0.12/0.29 ~subset(sk0_2,sk0_5)|spl0_6),
% 0.12/0.29 inference(component_clause,[status(thm)],[f72])).
% 0.12/0.29 fof(f75,plain,(
% 0.12/0.29 ~spl0_0|~spl0_1|~spl0_2|~spl0_6),
% 0.12/0.29 inference(split_clause,[status(thm)],[f48,f49,f52,f56,f72])).
% 0.12/0.29 fof(f76,plain,(
% 0.12/0.29 ![X0]: (subset(X0,X0))),
% 0.12/0.29 inference(destructive_equality_resolution,[status(esa)],[f28])).
% 0.12/0.29 fof(f83,plain,(
% 0.12/0.29 ~subset(sk0_3,sk0_5)|subset(sk0_2,sk0_5)|~spl0_3|~spl0_5),
% 0.12/0.29 inference(resolution,[status(thm)],[f61,f69])).
% 0.12/0.29 fof(f84,plain,(
% 0.12/0.29 ~spl0_4|spl0_6|~spl0_3|~spl0_5),
% 0.12/0.29 inference(split_clause,[status(thm)],[f83,f64,f72,f60,f68])).
% 0.12/0.29 fof(f85,plain,(
% 0.12/0.29 spl0_8 <=> subset(sk0_3,sk0_4)),
% 0.12/0.29 introduced(split_symbol_definition)).
% 0.12/0.29 fof(f87,plain,(
% 0.12/0.29 ~subset(sk0_3,sk0_4)|spl0_8),
% 0.12/0.29 inference(component_clause,[status(thm)],[f85])).
% 0.12/0.29 fof(f88,plain,(
% 0.12/0.29 spl0_9 <=> subset(sk0_2,sk0_4)),
% 0.12/0.29 introduced(split_symbol_definition)).
% 0.12/0.29 fof(f89,plain,(
% 0.12/0.29 subset(sk0_2,sk0_4)|~spl0_9),
% 0.12/0.29 inference(component_clause,[status(thm)],[f88])).
% 0.12/0.29 fof(f91,plain,(
% 0.12/0.29 ~subset(sk0_3,sk0_4)|subset(sk0_2,sk0_4)|~spl0_3),
% 0.12/0.29 inference(resolution,[status(thm)],[f76,f61])).
% 0.12/0.29 fof(f92,plain,(
% 0.12/0.29 ~spl0_8|spl0_9|~spl0_3),
% 0.12/0.29 inference(split_clause,[status(thm)],[f91,f85,f88,f60])).
% 0.12/0.29 fof(f93,plain,(
% 0.12/0.29 ![X0]: (~subset(sk0_3,union(sk0_4,X0))|subset(sk0_2,union(sk0_4,X0))|~spl0_3)),
% 0.12/0.29 inference(resolution,[status(thm)],[f11,f61])).
% 0.12/0.29 fof(f94,plain,(
% 0.12/0.29 subset(sk0_3,sk0_2)|~spl0_0),
% 0.12/0.29 inference(paramodulation,[status(thm)],[f50,f11])).
% 0.12/0.29 fof(f95,plain,(
% 0.12/0.29 spl0_1|~spl0_0),
% 0.12/0.29 inference(split_clause,[status(thm)],[f94,f52,f49])).
% 0.12/0.29 fof(f96,plain,(
% 0.12/0.29 ![X0]: (~subset(sk0_3,union(X0,sk0_4))|subset(sk0_2,union(sk0_4,X0))|~spl0_3)),
% 0.12/0.29 inference(paramodulation,[status(thm)],[f31,f93])).
% 0.12/0.29 fof(f97,plain,(
% 0.12/0.29 ![X0,X1]: (subset(X0,union(X1,X0)))),
% 0.12/0.29 inference(paramodulation,[status(thm)],[f31,f11])).
% 0.12/0.29 fof(f100,plain,(
% 0.12/0.29 subset(sk0_2,union(sk0_4,sk0_3))|~spl0_3),
% 0.12/0.29 inference(resolution,[status(thm)],[f96,f11])).
% 0.12/0.29 fof(f101,plain,(
% 0.12/0.29 subset(sk0_2,union(sk0_3,sk0_4))|~spl0_3),
% 0.12/0.29 inference(forward_demodulation,[status(thm)],[f31,f100])).
% 0.12/0.29 fof(f123,plain,(
% 0.12/0.29 spl0_12 <=> subset(union(sk0_3,sk0_4),sk0_2)),
% 0.12/0.29 introduced(split_symbol_definition)).
% 0.12/0.29 fof(f125,plain,(
% 0.12/0.29 ~subset(union(sk0_3,sk0_4),sk0_2)|spl0_12),
% 0.12/0.29 inference(component_clause,[status(thm)],[f123])).
% 0.12/0.29 fof(f126,plain,(
% 0.12/0.29 union(sk0_3,sk0_4)=sk0_2|~subset(union(sk0_3,sk0_4),sk0_2)|~spl0_3),
% 0.12/0.29 inference(resolution,[status(thm)],[f30,f101])).
% 0.12/0.29 fof(f127,plain,(
% 0.12/0.29 spl0_0|~spl0_12|~spl0_3),
% 0.12/0.29 inference(split_clause,[status(thm)],[f126,f49,f123,f60])).
% 0.12/0.29 fof(f128,plain,(
% 0.12/0.29 spl0_13 <=> sk0_4=sk0_2),
% 0.12/0.29 introduced(split_symbol_definition)).
% 0.12/0.29 fof(f129,plain,(
% 0.12/0.29 sk0_4=sk0_2|~spl0_13),
% 0.12/0.29 inference(component_clause,[status(thm)],[f128])).
% 0.12/0.29 fof(f131,plain,(
% 0.12/0.29 sk0_4=sk0_2|~subset(sk0_4,sk0_2)|~spl0_9),
% 0.12/0.29 inference(resolution,[status(thm)],[f30,f89])).
% 0.12/0.29 fof(f132,plain,(
% 0.12/0.29 spl0_13|~spl0_2|~spl0_9),
% 0.12/0.29 inference(split_clause,[status(thm)],[f131,f128,f56,f88])).
% 0.12/0.29 fof(f135,plain,(
% 0.12/0.29 spl0_14 <=> sk0_5=sk0_4),
% 0.12/0.29 introduced(split_symbol_definition)).
% 0.12/0.29 fof(f136,plain,(
% 0.12/0.29 sk0_5=sk0_4|~spl0_14),
% 0.12/0.29 inference(component_clause,[status(thm)],[f135])).
% 0.12/0.29 fof(f138,plain,(
% 0.12/0.29 spl0_15 <=> subset(sk0_5,sk0_4)),
% 0.12/0.29 introduced(split_symbol_definition)).
% 0.12/0.29 fof(f141,plain,(
% 0.12/0.29 sk0_5=sk0_4|~subset(sk0_5,sk0_4)|~spl0_5),
% 0.12/0.29 inference(resolution,[status(thm)],[f30,f69])).
% 0.12/0.29 fof(f142,plain,(
% 0.12/0.29 spl0_14|~spl0_15|~spl0_5),
% 0.12/0.29 inference(split_clause,[status(thm)],[f141,f135,f138,f68])).
% 0.12/0.29 fof(f157,plain,(
% 0.12/0.29 ~subset(sk0_3,sk0_2)|~spl0_13|spl0_8),
% 0.12/0.29 inference(backward_demodulation,[status(thm)],[f129,f87])).
% 0.12/0.29 fof(f158,plain,(
% 0.12/0.29 ~spl0_1|~spl0_13|spl0_8),
% 0.12/0.29 inference(split_clause,[status(thm)],[f157,f52,f128,f85])).
% 0.12/0.29 fof(f164,plain,(
% 0.12/0.29 ~subset(sk0_4,sk0_4)|~spl0_14|spl0_5),
% 0.12/0.29 inference(forward_demodulation,[status(thm)],[f136,f70])).
% 0.12/0.29 fof(f165,plain,(
% 0.12/0.29 $false|~spl0_14|spl0_5),
% 0.12/0.29 inference(forward_subsumption_resolution,[status(thm)],[f164,f76])).
% 0.12/0.29 fof(f166,plain,(
% 0.12/0.29 ~spl0_14|spl0_5),
% 0.12/0.29 inference(contradiction_clause,[status(thm)],[f165])).
% 0.12/0.29 fof(f167,plain,(
% 0.12/0.29 subset(sk0_4,sk0_2)|~spl0_0),
% 0.12/0.29 inference(paramodulation,[status(thm)],[f50,f97])).
% 0.12/0.29 fof(f168,plain,(
% 0.12/0.29 spl0_2|~spl0_0),
% 0.12/0.29 inference(split_clause,[status(thm)],[f167,f56,f49])).
% 0.12/0.29 fof(f180,plain,(
% 0.12/0.29 subset(sk0_2,sk0_5)|~spl0_13|~spl0_5),
% 0.12/0.29 inference(forward_demodulation,[status(thm)],[f129,f69])).
% 0.12/0.29 fof(f181,plain,(
% 0.12/0.29 spl0_16 <=> sk0_5=sk0_2),
% 0.12/0.29 introduced(split_symbol_definition)).
% 0.12/0.29 fof(f184,plain,(
% 0.12/0.29 spl0_17 <=> subset(sk0_5,sk0_2)),
% 0.12/0.29 introduced(split_symbol_definition)).
% 0.12/0.29 fof(f187,plain,(
% 0.12/0.29 sk0_5=sk0_2|~subset(sk0_5,sk0_2)|~spl0_13|~spl0_5),
% 0.12/0.29 inference(resolution,[status(thm)],[f180,f30])).
% 0.12/0.29 fof(f188,plain,(
% 0.12/0.29 spl0_16|~spl0_17|~spl0_13|~spl0_5),
% 0.12/0.29 inference(split_clause,[status(thm)],[f187,f181,f184,f128,f68])).
% 0.12/0.29 fof(f189,plain,(
% 0.12/0.29 $false|~spl0_13|~spl0_5|spl0_6),
% 0.12/0.29 inference(forward_subsumption_resolution,[status(thm)],[f74,f180])).
% 0.12/0.29 fof(f190,plain,(
% 0.12/0.29 ~spl0_13|~spl0_5|spl0_6),
% 0.12/0.29 inference(contradiction_clause,[status(thm)],[f189])).
% 0.12/0.29 fof(f209,plain,(
% 0.12/0.29 ![X0]: (~subset(sk0_3,X0)|~subset(sk0_4,X0)|subset(sk0_2,X0)|~spl0_0)),
% 0.12/0.29 inference(paramodulation,[status(thm)],[f50,f13])).
% 0.12/0.29 fof(f210,plain,(
% 0.12/0.29 spl0_3|~spl0_0),
% 0.12/0.29 inference(split_clause,[status(thm)],[f209,f60,f49])).
% 0.12/0.29 fof(f217,plain,(
% 0.12/0.29 ~subset(sk0_3,sk0_2)|~subset(sk0_4,sk0_2)|spl0_12),
% 0.12/0.29 inference(resolution,[status(thm)],[f125,f13])).
% 0.12/0.29 fof(f218,plain,(
% 0.12/0.29 ~spl0_1|~spl0_2|spl0_12),
% 0.12/0.29 inference(split_clause,[status(thm)],[f217,f52,f56,f123])).
% 0.12/0.29 fof(f219,plain,(
% 0.12/0.29 $false),
% 0.12/0.29 inference(sat_refutation,[status(thm)],[f55,f59,f63,f67,f71,f75,f84,f92,f95,f127,f132,f142,f158,f166,f168,f188,f190,f210,f218])).
% 0.12/0.29 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.31 % Elapsed time: 0.025793 seconds
% 0.12/0.31 % CPU time: 0.060689 seconds
% 0.12/0.31 % Total memory used: 15.239 MB
% 0.12/0.31 % Net memory used: 15.196 MB
%------------------------------------------------------------------------------