TSTP Solution File: SET797+4 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET797+4 : TPTP v8.1.2. Released v3.2.0.
% 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 20:40:22 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET797+4 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n006.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 21:24:05 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f1,axiom,(
% 0.13/0.37 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f14,axiom,(
% 0.13/0.37 (! [R,E,M] :( upper_bound(M,R,E)<=> (! [X] :( member(X,E)=> apply(R,X,M) ) )) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f22,conjecture,(
% 0.13/0.37 (! [R,E] :( order(R,E)=> (! [X,Y] :( ( subset(X,E)& subset(Y,E)& subset(X,Y) )=> (! [M] :( upper_bound(M,R,Y)=> upper_bound(M,R,X) ) )) )) )),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f23,negated_conjecture,(
% 0.13/0.37 ~((! [R,E] :( order(R,E)=> (! [X,Y] :( ( subset(X,E)& subset(Y,E)& subset(X,Y) )=> (! [M] :( upper_bound(M,R,Y)=> upper_bound(M,R,X) ) )) )) ))),
% 0.13/0.37 inference(negated_conjecture,[status(cth)],[f22])).
% 0.13/0.37 fof(f24,plain,(
% 0.13/0.37 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.13/0.37 fof(f25,plain,(
% 0.13/0.37 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.13/0.37 inference(NNF_transformation,[status(esa)],[f24])).
% 0.13/0.37 fof(f26,plain,(
% 0.13/0.37 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f25])).
% 0.13/0.37 fof(f27,plain,(
% 0.13/0.37 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(member(sk0_0(B,A),A)&~member(sk0_0(B,A),B))))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f26])).
% 0.13/0.37 fof(f28,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f27])).
% 0.13/0.37 fof(f102,plain,(
% 0.13/0.37 ![R,E,M]: (upper_bound(M,R,E)<=>(![X]: (~member(X,E)|apply(R,X,M))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.13/0.37 fof(f103,plain,(
% 0.13/0.37 ![R,E,M]: ((~upper_bound(M,R,E)|(![X]: (~member(X,E)|apply(R,X,M))))&(upper_bound(M,R,E)|(?[X]: (member(X,E)&~apply(R,X,M)))))),
% 0.13/0.37 inference(NNF_transformation,[status(esa)],[f102])).
% 0.13/0.37 fof(f104,plain,(
% 0.13/0.37 (![R,E,M]: (~upper_bound(M,R,E)|(![X]: (~member(X,E)|apply(R,X,M)))))&(![R,E,M]: (upper_bound(M,R,E)|(?[X]: (member(X,E)&~apply(R,X,M)))))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f103])).
% 0.13/0.37 fof(f105,plain,(
% 0.13/0.37 (![R,E,M]: (~upper_bound(M,R,E)|(![X]: (~member(X,E)|apply(R,X,M)))))&(![R,E,M]: (upper_bound(M,R,E)|(member(sk0_8(M,E,R),E)&~apply(R,sk0_8(M,E,R),M))))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f104])).
% 0.13/0.37 fof(f106,plain,(
% 0.13/0.37 ![X0,X1,X2,X3]: (~upper_bound(X0,X1,X2)|~member(X3,X2)|apply(X1,X3,X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f105])).
% 0.13/0.37 fof(f107,plain,(
% 0.13/0.37 ![X0,X1,X2]: (upper_bound(X0,X1,X2)|member(sk0_8(X0,X2,X1),X2))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f105])).
% 0.13/0.37 fof(f108,plain,(
% 0.13/0.37 ![X0,X1,X2]: (upper_bound(X0,X1,X2)|~apply(X1,sk0_8(X0,X2,X1),X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f105])).
% 0.13/0.37 fof(f170,plain,(
% 0.13/0.37 (?[R,E]: (order(R,E)&(?[X,Y]: (((subset(X,E)&subset(Y,E))&subset(X,Y))&(?[M]: (upper_bound(M,R,Y)&~upper_bound(M,R,X)))))))),
% 0.13/0.37 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 0.13/0.37 fof(f171,plain,(
% 0.13/0.37 (order(sk0_16,sk0_17)&(((subset(sk0_18,sk0_17)&subset(sk0_19,sk0_17))&subset(sk0_18,sk0_19))&(upper_bound(sk0_20,sk0_16,sk0_19)&~upper_bound(sk0_20,sk0_16,sk0_18))))),
% 0.13/0.37 inference(skolemization,[status(esa)],[f170])).
% 0.13/0.37 fof(f175,plain,(
% 0.13/0.37 subset(sk0_18,sk0_19)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f171])).
% 0.13/0.37 fof(f176,plain,(
% 0.13/0.37 upper_bound(sk0_20,sk0_16,sk0_19)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f171])).
% 0.13/0.37 fof(f177,plain,(
% 0.13/0.37 ~upper_bound(sk0_20,sk0_16,sk0_18)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f171])).
% 0.13/0.37 fof(f202,plain,(
% 0.13/0.37 ~apply(sk0_16,sk0_8(sk0_20,sk0_18,sk0_16),sk0_20)),
% 0.13/0.37 inference(resolution,[status(thm)],[f108,f177])).
% 0.13/0.37 fof(f204,plain,(
% 0.13/0.37 ![X0]: (~upper_bound(sk0_20,sk0_16,X0)|~member(sk0_8(sk0_20,sk0_18,sk0_16),X0))),
% 0.13/0.37 inference(resolution,[status(thm)],[f202,f106])).
% 0.13/0.37 fof(f216,plain,(
% 0.13/0.37 spl0_3 <=> upper_bound(sk0_20,sk0_16,sk0_18)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f217,plain,(
% 0.13/0.38 upper_bound(sk0_20,sk0_16,sk0_18)|~spl0_3),
% 0.13/0.38 inference(component_clause,[status(thm)],[f216])).
% 0.13/0.38 fof(f221,plain,(
% 0.13/0.38 ![X0,X1]: (~upper_bound(sk0_20,sk0_16,X0)|~subset(X1,X0)|~member(sk0_8(sk0_20,sk0_18,sk0_16),X1))),
% 0.13/0.38 inference(resolution,[status(thm)],[f204,f28])).
% 0.13/0.38 fof(f226,plain,(
% 0.13/0.38 spl0_4 <=> ~upper_bound(sk0_20,sk0_16,X0)|~subset(sk0_18,X0)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f227,plain,(
% 0.13/0.38 ![X0]: (~upper_bound(sk0_20,sk0_16,X0)|~subset(sk0_18,X0)|~spl0_4)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f226])).
% 0.13/0.38 fof(f229,plain,(
% 0.13/0.38 ![X0]: (~upper_bound(sk0_20,sk0_16,X0)|~subset(sk0_18,X0)|upper_bound(sk0_20,sk0_16,sk0_18))),
% 0.13/0.38 inference(resolution,[status(thm)],[f221,f107])).
% 0.13/0.38 fof(f230,plain,(
% 0.13/0.38 spl0_4|spl0_3),
% 0.13/0.38 inference(split_clause,[status(thm)],[f229,f226,f216])).
% 0.13/0.38 fof(f232,plain,(
% 0.13/0.38 ~subset(sk0_18,sk0_19)|~spl0_4),
% 0.13/0.38 inference(resolution,[status(thm)],[f227,f176])).
% 0.13/0.38 fof(f233,plain,(
% 0.13/0.38 $false|~spl0_4),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f232,f175])).
% 0.13/0.38 fof(f234,plain,(
% 0.13/0.38 ~spl0_4),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f233])).
% 0.13/0.38 fof(f235,plain,(
% 0.13/0.38 $false|~spl0_3),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f217,f177])).
% 0.13/0.38 fof(f236,plain,(
% 0.13/0.38 ~spl0_3),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f235])).
% 0.13/0.38 fof(f237,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(sat_refutation,[status(thm)],[f230,f234,f236])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.38 % Elapsed time: 0.031111 seconds
% 0.13/0.38 % CPU time: 0.101019 seconds
% 0.13/0.38 % Total memory used: 15.622 MB
% 0.13/0.38 % Net memory used: 15.598 MB
%------------------------------------------------------------------------------