TSTP Solution File: SET793+4 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET793+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:35:12 EDT 2023
% Result : Theorem 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SET793+4 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n009.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 10:09:01 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 0.15/0.32 % Refutation found
% 0.15/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.32 fof(f2,axiom,(
% 0.15/0.32 (! [R,E] :( total_order(R,E)<=> ( order(R,E)& (! [X,Y] :( ( member(X,E)& member(Y,E) )=> ( apply(R,X,Y)| apply(R,Y,X) ) ) )) ) )),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f5,axiom,(
% 0.15/0.32 (! [R,E,M] :( greatest(M,R,E)<=> ( member(M,E)& (! [X] :( member(X,E)=> apply(R,X,M) ) )) ) )),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f7,axiom,(
% 0.15/0.32 (! [R,E,M] :( max(M,R,E)<=> ( member(M,E)& (! [X] :( ( member(X,E)& apply(R,M,X) )=> M = X ) )) ) )),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f11,conjecture,(
% 0.15/0.32 (! [R,E,M] :( ( total_order(R,E)& max(M,R,E) )=> greatest(M,R,E) ) )),
% 0.15/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f12,negated_conjecture,(
% 0.15/0.32 ~((! [R,E,M] :( ( total_order(R,E)& max(M,R,E) )=> greatest(M,R,E) ) ))),
% 0.15/0.32 inference(negated_conjecture,[status(cth)],[f11])).
% 0.15/0.32 fof(f27,plain,(
% 0.15/0.32 ![R,E]: (total_order(R,E)<=>(order(R,E)&(![X,Y]: ((~member(X,E)|~member(Y,E))|(apply(R,X,Y)|apply(R,Y,X))))))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.15/0.32 fof(f28,plain,(
% 0.15/0.32 ![R,E]: ((~total_order(R,E)|(order(R,E)&(![X,Y]: ((~member(X,E)|~member(Y,E))|(apply(R,X,Y)|apply(R,Y,X))))))&(total_order(R,E)|(~order(R,E)|(?[X,Y]: ((member(X,E)&member(Y,E))&(~apply(R,X,Y)&~apply(R,Y,X)))))))),
% 0.15/0.32 inference(NNF_transformation,[status(esa)],[f27])).
% 0.15/0.32 fof(f29,plain,(
% 0.15/0.32 (![R,E]: (~total_order(R,E)|(order(R,E)&(![X,Y]: ((~member(X,E)|~member(Y,E))|(apply(R,X,Y)|apply(R,Y,X)))))))&(![R,E]: (total_order(R,E)|(~order(R,E)|(?[X,Y]: ((member(X,E)&member(Y,E))&(~apply(R,X,Y)&~apply(R,Y,X)))))))),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f28])).
% 0.15/0.32 fof(f30,plain,(
% 0.15/0.32 (![R,E]: (~total_order(R,E)|(order(R,E)&(![X,Y]: ((~member(X,E)|~member(Y,E))|(apply(R,X,Y)|apply(R,Y,X)))))))&(![R,E]: (total_order(R,E)|(~order(R,E)|((member(sk0_3(E,R),E)&member(sk0_4(E,R),E))&(~apply(R,sk0_3(E,R),sk0_4(E,R))&~apply(R,sk0_4(E,R),sk0_3(E,R)))))))),
% 0.15/0.32 inference(skolemization,[status(esa)],[f29])).
% 0.15/0.32 fof(f32,plain,(
% 0.15/0.32 ![X0,X1,X2,X3]: (~total_order(X0,X1)|~member(X2,X1)|~member(X3,X1)|apply(X0,X2,X3)|apply(X0,X3,X2))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f30])).
% 0.15/0.32 fof(f51,plain,(
% 0.15/0.32 ![R,E,M]: (greatest(M,R,E)<=>(member(M,E)&(![X]: (~member(X,E)|apply(R,X,M)))))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.15/0.32 fof(f52,plain,(
% 0.15/0.32 ![R,E,M]: ((~greatest(M,R,E)|(member(M,E)&(![X]: (~member(X,E)|apply(R,X,M)))))&(greatest(M,R,E)|(~member(M,E)|(?[X]: (member(X,E)&~apply(R,X,M))))))),
% 0.15/0.32 inference(NNF_transformation,[status(esa)],[f51])).
% 0.15/0.32 fof(f53,plain,(
% 0.15/0.32 (![R,E,M]: (~greatest(M,R,E)|(member(M,E)&(![X]: (~member(X,E)|apply(R,X,M))))))&(![R,E,M]: (greatest(M,R,E)|(~member(M,E)|(?[X]: (member(X,E)&~apply(R,X,M))))))),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f52])).
% 0.15/0.32 fof(f54,plain,(
% 0.15/0.32 (![R,E,M]: (~greatest(M,R,E)|(member(M,E)&(![X]: (~member(X,E)|apply(R,X,M))))))&(![R,E,M]: (greatest(M,R,E)|(~member(M,E)|(member(sk0_7(M,E,R),E)&~apply(R,sk0_7(M,E,R),M)))))),
% 0.15/0.32 inference(skolemization,[status(esa)],[f53])).
% 0.15/0.32 fof(f57,plain,(
% 0.15/0.32 ![X0,X1,X2]: (greatest(X0,X1,X2)|~member(X0,X2)|member(sk0_7(X0,X2,X1),X2))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f54])).
% 0.15/0.32 fof(f58,plain,(
% 0.15/0.32 ![X0,X1,X2]: (greatest(X0,X1,X2)|~member(X0,X2)|~apply(X1,sk0_7(X0,X2,X1),X0))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f54])).
% 0.15/0.32 fof(f67,plain,(
% 0.15/0.32 ![R,E,M]: (max(M,R,E)<=>(member(M,E)&(![X]: ((~member(X,E)|~apply(R,M,X))|M=X))))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.15/0.32 fof(f68,plain,(
% 0.15/0.32 ![R,E,M]: ((~max(M,R,E)|(member(M,E)&(![X]: ((~member(X,E)|~apply(R,M,X))|M=X))))&(max(M,R,E)|(~member(M,E)|(?[X]: ((member(X,E)&apply(R,M,X))&~M=X)))))),
% 0.15/0.32 inference(NNF_transformation,[status(esa)],[f67])).
% 0.15/0.32 fof(f69,plain,(
% 0.15/0.32 (![R,E,M]: (~max(M,R,E)|(member(M,E)&(![X]: ((~member(X,E)|~apply(R,M,X))|M=X)))))&(![R,E,M]: (max(M,R,E)|(~member(M,E)|(?[X]: ((member(X,E)&apply(R,M,X))&~M=X)))))),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f68])).
% 0.15/0.32 fof(f70,plain,(
% 0.15/0.32 (![R,E,M]: (~max(M,R,E)|(member(M,E)&(![X]: ((~member(X,E)|~apply(R,M,X))|M=X)))))&(![R,E,M]: (max(M,R,E)|(~member(M,E)|((member(sk0_9(M,E,R),E)&apply(R,M,sk0_9(M,E,R)))&~M=sk0_9(M,E,R)))))),
% 0.15/0.32 inference(skolemization,[status(esa)],[f69])).
% 0.15/0.32 fof(f71,plain,(
% 0.15/0.32 ![X0,X1,X2]: (~max(X0,X1,X2)|member(X0,X2))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f70])).
% 0.15/0.32 fof(f72,plain,(
% 0.15/0.32 ![X0,X1,X2,X3]: (~max(X0,X1,X2)|~member(X3,X2)|~apply(X1,X0,X3)|X0=X3)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f70])).
% 0.15/0.32 fof(f105,plain,(
% 0.15/0.32 (?[R,E,M]: ((total_order(R,E)&max(M,R,E))&~greatest(M,R,E)))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 0.15/0.32 fof(f106,plain,(
% 0.15/0.32 ((total_order(sk0_13,sk0_14)&max(sk0_15,sk0_13,sk0_14))&~greatest(sk0_15,sk0_13,sk0_14))),
% 0.15/0.32 inference(skolemization,[status(esa)],[f105])).
% 0.15/0.32 fof(f107,plain,(
% 0.15/0.32 total_order(sk0_13,sk0_14)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f106])).
% 0.15/0.32 fof(f108,plain,(
% 0.15/0.32 max(sk0_15,sk0_13,sk0_14)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f106])).
% 0.15/0.32 fof(f109,plain,(
% 0.15/0.32 ~greatest(sk0_15,sk0_13,sk0_14)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f106])).
% 0.15/0.32 fof(f128,plain,(
% 0.15/0.32 member(sk0_15,sk0_14)),
% 0.15/0.32 inference(resolution,[status(thm)],[f71,f108])).
% 0.15/0.32 fof(f129,plain,(
% 0.15/0.32 ![X0]: (~member(X0,sk0_14)|~apply(sk0_13,sk0_15,X0)|sk0_15=X0)),
% 0.15/0.32 inference(resolution,[status(thm)],[f72,f108])).
% 0.15/0.32 fof(f130,plain,(
% 0.15/0.32 ![X0,X1]: (~member(X0,sk0_14)|sk0_15=X0|~total_order(sk0_13,X1)|~member(X0,X1)|~member(sk0_15,X1)|apply(sk0_13,X0,sk0_15))),
% 0.15/0.32 inference(resolution,[status(thm)],[f129,f32])).
% 0.15/0.32 fof(f131,plain,(
% 0.15/0.32 spl0_0 <=> member(sk0_15,sk0_14)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f133,plain,(
% 0.15/0.32 ~member(sk0_15,sk0_14)|spl0_0),
% 0.15/0.32 inference(component_clause,[status(thm)],[f131])).
% 0.15/0.32 fof(f137,plain,(
% 0.15/0.32 spl0_2 <=> ~total_order(sk0_13,X0)|~member(sk0_15,X0)|~member(sk0_15,X0)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f138,plain,(
% 0.15/0.32 ![X0]: (~total_order(sk0_13,X0)|~member(sk0_15,X0)|~member(sk0_15,X0)|~spl0_2)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f137])).
% 0.15/0.32 fof(f142,plain,(
% 0.15/0.32 $false|spl0_0),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f133,f128])).
% 0.15/0.32 fof(f143,plain,(
% 0.15/0.32 spl0_0),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f142])).
% 0.15/0.32 fof(f165,plain,(
% 0.15/0.32 ![X0,X1]: (greatest(sk0_15,sk0_13,X0)|~member(sk0_15,X0)|~member(sk0_7(sk0_15,X0,sk0_13),sk0_14)|sk0_15=sk0_7(sk0_15,X0,sk0_13)|~total_order(sk0_13,X1)|~member(sk0_7(sk0_15,X0,sk0_13),X1)|~member(sk0_15,X1))),
% 0.15/0.32 inference(resolution,[status(thm)],[f58,f130])).
% 0.15/0.32 fof(f184,plain,(
% 0.15/0.32 spl0_7 <=> greatest(sk0_15,sk0_13,sk0_14)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f185,plain,(
% 0.15/0.32 greatest(sk0_15,sk0_13,sk0_14)|~spl0_7),
% 0.15/0.32 inference(component_clause,[status(thm)],[f184])).
% 0.15/0.32 fof(f187,plain,(
% 0.15/0.32 spl0_8 <=> sk0_15=sk0_7(sk0_15,sk0_14,sk0_13)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f188,plain,(
% 0.15/0.32 sk0_15=sk0_7(sk0_15,sk0_14,sk0_13)|~spl0_8),
% 0.15/0.32 inference(component_clause,[status(thm)],[f187])).
% 0.15/0.32 fof(f190,plain,(
% 0.15/0.32 spl0_9 <=> ~total_order(sk0_13,X0)|~member(sk0_7(sk0_15,sk0_14,sk0_13),X0)|~member(sk0_15,X0)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f191,plain,(
% 0.15/0.32 ![X0]: (~total_order(sk0_13,X0)|~member(sk0_7(sk0_15,sk0_14,sk0_13),X0)|~member(sk0_15,X0)|~spl0_9)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f190])).
% 0.15/0.32 fof(f193,plain,(
% 0.15/0.32 ![X0]: (greatest(sk0_15,sk0_13,sk0_14)|~member(sk0_15,sk0_14)|sk0_15=sk0_7(sk0_15,sk0_14,sk0_13)|~total_order(sk0_13,X0)|~member(sk0_7(sk0_15,sk0_14,sk0_13),X0)|~member(sk0_15,X0)|greatest(sk0_15,sk0_13,sk0_14)|~member(sk0_15,sk0_14))),
% 0.15/0.32 inference(resolution,[status(thm)],[f165,f57])).
% 0.15/0.32 fof(f194,plain,(
% 0.15/0.32 spl0_7|~spl0_0|spl0_8|spl0_9),
% 0.15/0.32 inference(split_clause,[status(thm)],[f193,f184,f131,f187,f190])).
% 0.15/0.32 fof(f195,plain,(
% 0.15/0.32 ![X0]: (~total_order(sk0_13,X0)|~member(sk0_15,X0)|~spl0_2)),
% 0.15/0.32 inference(duplicate_literals_removal,[status(esa)],[f138])).
% 0.15/0.32 fof(f196,plain,(
% 0.15/0.32 ~member(sk0_15,sk0_14)|~spl0_2),
% 0.15/0.32 inference(resolution,[status(thm)],[f195,f107])).
% 0.15/0.32 fof(f197,plain,(
% 0.15/0.32 ~spl0_0|~spl0_2),
% 0.15/0.32 inference(split_clause,[status(thm)],[f196,f131,f137])).
% 0.15/0.32 fof(f198,plain,(
% 0.15/0.32 spl0_10 <=> total_order(sk0_13,sk0_14)),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f200,plain,(
% 0.15/0.35 ~total_order(sk0_13,sk0_14)|spl0_10),
% 0.15/0.35 inference(component_clause,[status(thm)],[f198])).
% 0.15/0.35 fof(f201,plain,(
% 0.15/0.35 ~total_order(sk0_13,sk0_14)|~member(sk0_15,sk0_14)|greatest(sk0_15,sk0_13,sk0_14)|~member(sk0_15,sk0_14)|~spl0_9),
% 0.15/0.35 inference(resolution,[status(thm)],[f191,f57])).
% 0.15/0.35 fof(f202,plain,(
% 0.15/0.35 ~spl0_10|~spl0_0|spl0_7|~spl0_9),
% 0.15/0.35 inference(split_clause,[status(thm)],[f201,f198,f131,f184,f190])).
% 0.15/0.35 fof(f203,plain,(
% 0.15/0.35 $false|spl0_10),
% 0.15/0.35 inference(forward_subsumption_resolution,[status(thm)],[f200,f107])).
% 0.15/0.35 fof(f204,plain,(
% 0.15/0.35 spl0_10),
% 0.15/0.35 inference(contradiction_clause,[status(thm)],[f203])).
% 0.15/0.35 fof(f205,plain,(
% 0.15/0.35 $false|~spl0_7),
% 0.15/0.35 inference(forward_subsumption_resolution,[status(thm)],[f185,f109])).
% 0.15/0.35 fof(f206,plain,(
% 0.15/0.35 ~spl0_7),
% 0.15/0.35 inference(contradiction_clause,[status(thm)],[f205])).
% 0.15/0.35 fof(f207,plain,(
% 0.15/0.35 spl0_11 <=> apply(sk0_13,sk0_15,sk0_15)),
% 0.15/0.35 introduced(split_symbol_definition)).
% 0.15/0.35 fof(f209,plain,(
% 0.15/0.35 ~apply(sk0_13,sk0_15,sk0_15)|spl0_11),
% 0.15/0.35 inference(component_clause,[status(thm)],[f207])).
% 0.15/0.35 fof(f210,plain,(
% 0.15/0.35 greatest(sk0_15,sk0_13,sk0_14)|~member(sk0_15,sk0_14)|~apply(sk0_13,sk0_15,sk0_15)|~spl0_8),
% 0.15/0.35 inference(paramodulation,[status(thm)],[f188,f58])).
% 0.15/0.35 fof(f211,plain,(
% 0.15/0.35 spl0_7|~spl0_0|~spl0_11|~spl0_8),
% 0.15/0.35 inference(split_clause,[status(thm)],[f210,f184,f131,f207,f187])).
% 0.15/0.35 fof(f216,plain,(
% 0.15/0.35 ![X0]: (~total_order(sk0_13,X0)|~member(sk0_15,X0)|~member(sk0_15,X0)|apply(sk0_13,sk0_15,sk0_15)|spl0_11)),
% 0.15/0.35 inference(resolution,[status(thm)],[f209,f32])).
% 0.15/0.35 fof(f217,plain,(
% 0.15/0.35 spl0_2|spl0_11),
% 0.15/0.35 inference(split_clause,[status(thm)],[f216,f137,f207])).
% 0.15/0.35 fof(f218,plain,(
% 0.15/0.35 $false),
% 0.15/0.35 inference(sat_refutation,[status(thm)],[f143,f194,f197,f202,f204,f206,f211,f217])).
% 0.15/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.56 % Elapsed time: 0.042716 seconds
% 0.15/0.56 % CPU time: 0.023151 seconds
% 0.15/0.56 % Memory used: 3.135 MB
%------------------------------------------------------------------------------