TSTP Solution File: SEU134+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU134+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:35:55 EDT 2023
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU134+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:33:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.35 fof(f11,axiom,(
% 0.13/0.35 (! [A] : set_difference(empty_set,A) = empty_set )),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f13,conjecture,(
% 0.13/0.35 (! [A,B] :( set_difference(A,B) = empty_set<=> subset(A,B) ) )),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f14,negated_conjecture,(
% 0.13/0.35 ~((! [A,B] :( set_difference(A,B) = empty_set<=> subset(A,B) ) ))),
% 0.13/0.35 inference(negated_conjecture,[status(cth)],[f13])).
% 0.13/0.35 fof(f15,axiom,(
% 0.13/0.35 (! [A,B] :( set_difference(A,B) = empty_set<=> subset(A,B) ) )),
% 0.13/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.35 fof(f32,plain,(
% 0.13/0.35 ![X0]: (set_difference(empty_set,X0)=empty_set)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f11])).
% 0.13/0.35 fof(f35,plain,(
% 0.13/0.35 (?[A,B]: (set_difference(A,B)=empty_set<~>subset(A,B)))),
% 0.13/0.35 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.13/0.35 fof(f36,plain,(
% 0.13/0.35 ?[A,B]: ((set_difference(A,B)=empty_set|subset(A,B))&(~set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.13/0.35 inference(NNF_transformation,[status(esa)],[f35])).
% 0.13/0.35 fof(f37,plain,(
% 0.13/0.35 ((set_difference(sk0_2,sk0_3)=empty_set|subset(sk0_2,sk0_3))&(~set_difference(sk0_2,sk0_3)=empty_set|~subset(sk0_2,sk0_3)))),
% 0.13/0.35 inference(skolemization,[status(esa)],[f36])).
% 0.13/0.35 fof(f38,plain,(
% 0.13/0.35 set_difference(sk0_2,sk0_3)=empty_set|subset(sk0_2,sk0_3)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f37])).
% 0.13/0.35 fof(f39,plain,(
% 0.13/0.35 ~set_difference(sk0_2,sk0_3)=empty_set|~subset(sk0_2,sk0_3)),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f37])).
% 0.13/0.35 fof(f40,plain,(
% 0.13/0.35 ![A,B]: ((~set_difference(A,B)=empty_set|subset(A,B))&(set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.13/0.35 inference(NNF_transformation,[status(esa)],[f15])).
% 0.13/0.35 fof(f41,plain,(
% 0.13/0.35 (![A,B]: (~set_difference(A,B)=empty_set|subset(A,B)))&(![A,B]: (set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.13/0.35 inference(miniscoping,[status(esa)],[f40])).
% 0.13/0.35 fof(f42,plain,(
% 0.13/0.35 ![X0,X1]: (~set_difference(X0,X1)=empty_set|subset(X0,X1))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f41])).
% 0.13/0.35 fof(f43,plain,(
% 0.13/0.35 ![X0,X1]: (set_difference(X0,X1)=empty_set|~subset(X0,X1))),
% 0.13/0.35 inference(cnf_transformation,[status(esa)],[f41])).
% 0.13/0.35 fof(f44,plain,(
% 0.13/0.35 spl0_0 <=> set_difference(sk0_2,sk0_3)=empty_set),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f45,plain,(
% 0.13/0.35 set_difference(sk0_2,sk0_3)=empty_set|~spl0_0),
% 0.13/0.35 inference(component_clause,[status(thm)],[f44])).
% 0.13/0.35 fof(f46,plain,(
% 0.13/0.35 ~set_difference(sk0_2,sk0_3)=empty_set|spl0_0),
% 0.13/0.35 inference(component_clause,[status(thm)],[f44])).
% 0.13/0.35 fof(f47,plain,(
% 0.13/0.35 spl0_1 <=> subset(sk0_2,sk0_3)),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f50,plain,(
% 0.13/0.35 spl0_0|spl0_1),
% 0.13/0.35 inference(split_clause,[status(thm)],[f38,f44,f47])).
% 0.13/0.35 fof(f51,plain,(
% 0.13/0.35 ~spl0_0|~spl0_1),
% 0.13/0.35 inference(split_clause,[status(thm)],[f39,f44,f47])).
% 0.13/0.35 fof(f54,plain,(
% 0.13/0.35 spl0_2 <=> empty_set=empty_set),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f56,plain,(
% 0.13/0.35 ~empty_set=empty_set|spl0_2),
% 0.13/0.35 inference(component_clause,[status(thm)],[f54])).
% 0.13/0.35 fof(f57,plain,(
% 0.13/0.35 spl0_3 <=> subset(empty_set,X0)),
% 0.13/0.35 introduced(split_symbol_definition)).
% 0.13/0.35 fof(f60,plain,(
% 0.13/0.35 ![X0]: (~empty_set=empty_set|subset(empty_set,X0))),
% 0.13/0.35 inference(paramodulation,[status(thm)],[f32,f42])).
% 0.13/0.35 fof(f61,plain,(
% 0.13/0.35 ~spl0_2|spl0_3),
% 0.13/0.35 inference(split_clause,[status(thm)],[f60,f54,f57])).
% 0.13/0.35 fof(f63,plain,(
% 0.13/0.35 $false|spl0_2),
% 0.13/0.35 inference(trivial_equality_resolution,[status(esa)],[f56])).
% 0.13/0.35 fof(f64,plain,(
% 0.13/0.35 spl0_2),
% 0.13/0.35 inference(contradiction_clause,[status(thm)],[f63])).
% 0.13/0.35 fof(f78,plain,(
% 0.13/0.35 ~empty_set=empty_set|subset(sk0_2,sk0_3)|~spl0_0),
% 0.13/0.35 inference(paramodulation,[status(thm)],[f45,f42])).
% 0.13/0.35 fof(f79,plain,(
% 0.13/0.35 ~spl0_2|spl0_1|~spl0_0),
% 0.13/0.35 inference(split_clause,[status(thm)],[f78,f54,f47,f44])).
% 0.13/0.35 fof(f80,plain,(
% 0.13/0.35 ~subset(sk0_2,sk0_3)|spl0_0),
% 0.13/0.35 inference(resolution,[status(thm)],[f46,f43])).
% 0.13/0.35 fof(f81,plain,(
% 0.13/0.35 ~spl0_1|spl0_0),
% 0.13/0.35 inference(split_clause,[status(thm)],[f80,f47,f44])).
% 0.13/0.35 fof(f82,plain,(
% 0.13/0.35 $false),
% 0.13/0.35 inference(sat_refutation,[status(thm)],[f50,f51,f61,f64,f79,f81])).
% 0.13/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.36 % Elapsed time: 0.020799 seconds
% 0.19/0.36 % CPU time: 0.027237 seconds
% 0.19/0.36 % Memory used: 14.270 MB
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