TSTP Solution File: SET597+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n016.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 12:34:45 EDT 2023
% Result : Theorem 0.14s 0.32s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SET597+3 : TPTP v8.1.2. Released v2.2.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n016.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 10:46:14 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 0.14/0.32 % Refutation found
% 0.14/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.32 fof(f1,axiom,(
% 0.14/0.32 (! [B,C] : subset(B,union(B,C)) )),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f2,axiom,(
% 0.14/0.32 (! [B,C,D] :( ( subset(B,C)& subset(D,C) )=> subset(union(B,D),C) ) )),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f5,axiom,(
% 0.14/0.32 (! [B,C] :( B = C<=> ( subset(B,C)& subset(C,B) ) ) )),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f6,axiom,(
% 0.14/0.32 (! [B,C] : union(B,C) = union(C,B) )),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f9,conjecture,(
% 0.14/0.32 (! [B,C,D] :( B = union(C,D)<=> ( subset(C,B)& subset(D,B)& (! [E] :( ( subset(C,E)& subset(D,E) )=> subset(B,E) ) )) ) )),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f10,negated_conjecture,(
% 0.14/0.32 ~((! [B,C,D] :( B = union(C,D)<=> ( subset(C,B)& subset(D,B)& (! [E] :( ( subset(C,E)& subset(D,E) )=> subset(B,E) ) )) ) ))),
% 0.14/0.32 inference(negated_conjecture,[status(cth)],[f9])).
% 0.14/0.32 fof(f11,plain,(
% 0.14/0.32 ![X0,X1]: (subset(X0,union(X0,X1)))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.32 fof(f12,plain,(
% 0.14/0.32 ![B,C,D]: ((~subset(B,C)|~subset(D,C))|subset(union(B,D),C))),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.14/0.32 fof(f13,plain,(
% 0.14/0.32 ![X0,X1,X2]: (~subset(X0,X1)|~subset(X2,X1)|subset(union(X0,X2),X1))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f12])).
% 0.14/0.32 fof(f26,plain,(
% 0.14/0.32 ![B,C]: ((~B=C|(subset(B,C)&subset(C,B)))&(B=C|(~subset(B,C)|~subset(C,B))))),
% 0.14/0.32 inference(NNF_transformation,[status(esa)],[f5])).
% 0.14/0.32 fof(f27,plain,(
% 0.14/0.32 (![B,C]: (~B=C|(subset(B,C)&subset(C,B))))&(![B,C]: (B=C|(~subset(B,C)|~subset(C,B))))),
% 0.14/0.32 inference(miniscoping,[status(esa)],[f26])).
% 0.14/0.32 fof(f28,plain,(
% 0.14/0.32 ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f27])).
% 0.14/0.32 fof(f30,plain,(
% 0.14/0.32 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f27])).
% 0.14/0.32 fof(f31,plain,(
% 0.14/0.32 ![X0,X1]: (union(X0,X1)=union(X1,X0))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.32 fof(f40,plain,(
% 0.14/0.32 (?[B,C,D]: (B=union(C,D)<~>((subset(C,B)&subset(D,B))&(![E]: ((~subset(C,E)|~subset(D,E))|subset(B,E))))))),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.14/0.32 fof(f41,plain,(
% 0.14/0.32 ?[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))))))),
% 0.14/0.32 inference(NNF_transformation,[status(esa)],[f40])).
% 0.14/0.32 fof(f42,plain,(
% 0.14/0.32 ((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)))))),
% 0.14/0.32 inference(skolemization,[status(esa)],[f41])).
% 0.14/0.32 fof(f43,plain,(
% 0.14/0.32 sk0_2=union(sk0_3,sk0_4)|subset(sk0_3,sk0_2)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f42])).
% 0.14/0.32 fof(f44,plain,(
% 0.14/0.32 sk0_2=union(sk0_3,sk0_4)|subset(sk0_4,sk0_2)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f42])).
% 0.14/0.32 fof(f45,plain,(
% 0.14/0.32 ![X0]: (sk0_2=union(sk0_3,sk0_4)|~subset(sk0_3,X0)|~subset(sk0_4,X0)|subset(sk0_2,X0))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f42])).
% 0.14/0.32 fof(f46,plain,(
% 0.14/0.32 ~sk0_2=union(sk0_3,sk0_4)|~subset(sk0_3,sk0_2)|~subset(sk0_4,sk0_2)|subset(sk0_3,sk0_5)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f42])).
% 0.14/0.32 fof(f47,plain,(
% 0.14/0.32 ~sk0_2=union(sk0_3,sk0_4)|~subset(sk0_3,sk0_2)|~subset(sk0_4,sk0_2)|subset(sk0_4,sk0_5)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f42])).
% 0.14/0.32 fof(f48,plain,(
% 0.14/0.32 ~sk0_2=union(sk0_3,sk0_4)|~subset(sk0_3,sk0_2)|~subset(sk0_4,sk0_2)|~subset(sk0_2,sk0_5)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f42])).
% 0.14/0.32 fof(f49,plain,(
% 0.14/0.32 spl0_0 <=> sk0_2=union(sk0_3,sk0_4)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f50,plain,(
% 0.14/0.32 sk0_2=union(sk0_3,sk0_4)|~spl0_0),
% 0.14/0.32 inference(component_clause,[status(thm)],[f49])).
% 0.14/0.32 fof(f52,plain,(
% 0.14/0.32 spl0_1 <=> subset(sk0_3,sk0_2)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f53,plain,(
% 0.14/0.32 subset(sk0_3,sk0_2)|~spl0_1),
% 0.14/0.32 inference(component_clause,[status(thm)],[f52])).
% 0.14/0.32 fof(f55,plain,(
% 0.14/0.32 spl0_0|spl0_1),
% 0.14/0.32 inference(split_clause,[status(thm)],[f43,f49,f52])).
% 0.14/0.32 fof(f56,plain,(
% 0.14/0.32 spl0_2 <=> subset(sk0_4,sk0_2)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f57,plain,(
% 0.14/0.32 subset(sk0_4,sk0_2)|~spl0_2),
% 0.14/0.32 inference(component_clause,[status(thm)],[f56])).
% 0.14/0.32 fof(f59,plain,(
% 0.14/0.32 spl0_0|spl0_2),
% 0.14/0.32 inference(split_clause,[status(thm)],[f44,f49,f56])).
% 0.14/0.32 fof(f60,plain,(
% 0.14/0.32 spl0_3 <=> ~subset(sk0_3,X0)|~subset(sk0_4,X0)|subset(sk0_2,X0)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f61,plain,(
% 0.14/0.32 ![X0]: (~subset(sk0_3,X0)|~subset(sk0_4,X0)|subset(sk0_2,X0)|~spl0_3)),
% 0.14/0.32 inference(component_clause,[status(thm)],[f60])).
% 0.14/0.32 fof(f63,plain,(
% 0.14/0.32 spl0_0|spl0_3),
% 0.14/0.32 inference(split_clause,[status(thm)],[f45,f49,f60])).
% 0.14/0.32 fof(f64,plain,(
% 0.14/0.32 spl0_4 <=> subset(sk0_3,sk0_5)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f67,plain,(
% 0.14/0.32 ~spl0_0|~spl0_1|~spl0_2|spl0_4),
% 0.14/0.32 inference(split_clause,[status(thm)],[f46,f49,f52,f56,f64])).
% 0.14/0.32 fof(f68,plain,(
% 0.14/0.32 spl0_5 <=> subset(sk0_4,sk0_5)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f69,plain,(
% 0.14/0.32 subset(sk0_4,sk0_5)|~spl0_5),
% 0.14/0.32 inference(component_clause,[status(thm)],[f68])).
% 0.14/0.32 fof(f71,plain,(
% 0.14/0.32 ~spl0_0|~spl0_1|~spl0_2|spl0_5),
% 0.14/0.32 inference(split_clause,[status(thm)],[f47,f49,f52,f56,f68])).
% 0.14/0.32 fof(f72,plain,(
% 0.14/0.32 spl0_6 <=> subset(sk0_2,sk0_5)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f74,plain,(
% 0.14/0.32 ~subset(sk0_2,sk0_5)|spl0_6),
% 0.14/0.32 inference(component_clause,[status(thm)],[f72])).
% 0.14/0.32 fof(f75,plain,(
% 0.14/0.32 ~spl0_0|~spl0_1|~spl0_2|~spl0_6),
% 0.14/0.32 inference(split_clause,[status(thm)],[f48,f49,f52,f56,f72])).
% 0.14/0.32 fof(f76,plain,(
% 0.14/0.32 ![X0]: (subset(X0,X0))),
% 0.14/0.32 inference(destructive_equality_resolution,[status(esa)],[f28])).
% 0.14/0.32 fof(f78,plain,(
% 0.14/0.32 ![X0,X1]: (subset(X0,union(X1,X0)))),
% 0.14/0.32 inference(paramodulation,[status(thm)],[f31,f11])).
% 0.14/0.32 fof(f84,plain,(
% 0.14/0.32 ![X0,X1,X2]: (X0=union(X1,X2)|~subset(X0,union(X1,X2))|~subset(X1,X0)|~subset(X2,X0))),
% 0.14/0.32 inference(resolution,[status(thm)],[f30,f13])).
% 0.14/0.32 fof(f165,plain,(
% 0.14/0.32 spl0_9 <=> sk0_2=sk0_4),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f166,plain,(
% 0.14/0.32 sk0_2=sk0_4|~spl0_9),
% 0.14/0.32 inference(component_clause,[status(thm)],[f165])).
% 0.14/0.32 fof(f168,plain,(
% 0.14/0.32 spl0_10 <=> subset(sk0_2,sk0_4)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f171,plain,(
% 0.14/0.32 sk0_2=sk0_4|~subset(sk0_2,sk0_4)|~spl0_2),
% 0.14/0.32 inference(resolution,[status(thm)],[f57,f30])).
% 0.14/0.32 fof(f172,plain,(
% 0.14/0.32 spl0_9|~spl0_10|~spl0_2),
% 0.14/0.32 inference(split_clause,[status(thm)],[f171,f165,f168,f56])).
% 0.14/0.32 fof(f173,plain,(
% 0.14/0.32 spl0_11 <=> sk0_2=sk0_3),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f176,plain,(
% 0.14/0.32 spl0_12 <=> subset(sk0_2,sk0_3)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f179,plain,(
% 0.14/0.32 sk0_2=sk0_3|~subset(sk0_2,sk0_3)|~spl0_1),
% 0.14/0.32 inference(resolution,[status(thm)],[f53,f30])).
% 0.14/0.32 fof(f180,plain,(
% 0.14/0.32 spl0_11|~spl0_12|~spl0_1),
% 0.14/0.32 inference(split_clause,[status(thm)],[f179,f173,f176,f52])).
% 0.14/0.32 fof(f181,plain,(
% 0.14/0.32 spl0_13 <=> subset(sk0_2,sk0_2)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f183,plain,(
% 0.14/0.32 ~subset(sk0_2,sk0_2)|spl0_13),
% 0.14/0.32 inference(component_clause,[status(thm)],[f181])).
% 0.14/0.32 fof(f187,plain,(
% 0.14/0.32 ![X0]: (~subset(sk0_3,union(sk0_4,X0))|subset(sk0_2,union(sk0_4,X0))|~spl0_3)),
% 0.14/0.32 inference(resolution,[status(thm)],[f61,f11])).
% 0.14/0.32 fof(f188,plain,(
% 0.14/0.32 spl0_14 <=> subset(sk0_3,sk0_4)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f190,plain,(
% 0.14/0.32 ~subset(sk0_3,sk0_4)|spl0_14),
% 0.14/0.32 inference(component_clause,[status(thm)],[f188])).
% 0.14/0.32 fof(f191,plain,(
% 0.14/0.32 ~subset(sk0_3,sk0_4)|subset(sk0_2,sk0_4)|~spl0_3),
% 0.14/0.32 inference(resolution,[status(thm)],[f61,f76])).
% 0.14/0.32 fof(f192,plain,(
% 0.14/0.32 ~spl0_14|spl0_10|~spl0_3),
% 0.14/0.32 inference(split_clause,[status(thm)],[f191,f188,f168,f60])).
% 0.14/0.32 fof(f194,plain,(
% 0.14/0.32 ~subset(sk0_3,sk0_2)|~spl0_9|spl0_14),
% 0.14/0.32 inference(forward_demodulation,[status(thm)],[f166,f190])).
% 0.14/0.32 fof(f236,plain,(
% 0.14/0.32 $false|~spl0_9|spl0_14|~spl0_1),
% 0.14/0.32 inference(forward_subsumption_resolution,[status(thm)],[f53,f194])).
% 0.14/0.32 fof(f237,plain,(
% 0.14/0.32 ~spl0_9|spl0_14|~spl0_1),
% 0.14/0.32 inference(contradiction_clause,[status(thm)],[f236])).
% 0.14/0.32 fof(f276,plain,(
% 0.14/0.32 subset(sk0_4,sk0_2)|~spl0_0),
% 0.14/0.32 inference(paramodulation,[status(thm)],[f50,f78])).
% 0.14/0.37 fof(f277,plain,(
% 0.14/0.37 spl0_2|~spl0_0),
% 0.14/0.37 inference(split_clause,[status(thm)],[f276,f56,f49])).
% 0.14/0.37 fof(f278,plain,(
% 0.14/0.37 ![X0]: (~subset(sk0_3,X0)|~subset(sk0_4,X0)|subset(sk0_2,X0)|~spl0_0)),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f50,f13])).
% 0.14/0.37 fof(f279,plain,(
% 0.14/0.37 subset(sk0_3,sk0_2)|~spl0_0),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f50,f11])).
% 0.14/0.37 fof(f280,plain,(
% 0.14/0.37 spl0_1|~spl0_0),
% 0.14/0.37 inference(split_clause,[status(thm)],[f279,f52,f49])).
% 0.14/0.37 fof(f281,plain,(
% 0.14/0.37 $false|spl0_13),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f183,f76])).
% 0.14/0.37 fof(f282,plain,(
% 0.14/0.37 spl0_13),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f281])).
% 0.14/0.37 fof(f292,plain,(
% 0.14/0.37 subset(sk0_2,sk0_5)|~spl0_9|~spl0_5),
% 0.14/0.37 inference(backward_demodulation,[status(thm)],[f166,f69])).
% 0.14/0.37 fof(f293,plain,(
% 0.14/0.37 $false|spl0_6|~spl0_9|~spl0_5),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f292,f74])).
% 0.14/0.37 fof(f294,plain,(
% 0.14/0.37 spl0_6|~spl0_9|~spl0_5),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f293])).
% 0.14/0.37 fof(f320,plain,(
% 0.14/0.37 subset(sk0_2,union(sk0_4,sk0_3))|~spl0_3),
% 0.14/0.37 inference(resolution,[status(thm)],[f187,f78])).
% 0.14/0.37 fof(f321,plain,(
% 0.14/0.37 subset(sk0_2,union(sk0_3,sk0_4))|~spl0_3),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f31,f320])).
% 0.14/0.37 fof(f640,plain,(
% 0.14/0.37 sk0_2=union(sk0_3,sk0_4)|~subset(sk0_3,sk0_2)|~subset(sk0_4,sk0_2)|~spl0_3),
% 0.14/0.37 inference(resolution,[status(thm)],[f321,f84])).
% 0.14/0.37 fof(f641,plain,(
% 0.14/0.37 spl0_0|~spl0_1|~spl0_2|~spl0_3),
% 0.14/0.37 inference(split_clause,[status(thm)],[f640,f49,f52,f56,f60])).
% 0.14/0.37 fof(f647,plain,(
% 0.14/0.37 ~subset(sk0_3,sk0_5)|subset(sk0_2,sk0_5)|~spl0_5|~spl0_3),
% 0.14/0.37 inference(resolution,[status(thm)],[f69,f61])).
% 0.14/0.37 fof(f648,plain,(
% 0.14/0.37 ~spl0_4|spl0_6|~spl0_5|~spl0_3),
% 0.14/0.37 inference(split_clause,[status(thm)],[f647,f64,f72,f68,f60])).
% 0.14/0.37 fof(f651,plain,(
% 0.14/0.37 spl0_3|~spl0_0),
% 0.14/0.37 inference(split_clause,[status(thm)],[f278,f60,f49])).
% 0.14/0.37 fof(f652,plain,(
% 0.14/0.37 $false),
% 0.14/0.37 inference(sat_refutation,[status(thm)],[f55,f59,f63,f67,f71,f75,f172,f180,f192,f237,f277,f280,f282,f294,f641,f648,f651])).
% 0.14/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.37 % Elapsed time: 0.067784 seconds
% 0.14/0.37 % CPU time: 0.032146 seconds
% 0.14/0.37 % Memory used: 3.960 MB
%------------------------------------------------------------------------------