TSTP Solution File: SEU361+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU361+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 12:36:49 EDT 2023
% Result : Theorem 29.88s 4.31s
% Output : CNFRefutation 30.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SEU361+2 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32 % Computer : n011.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue May 30 09:18:27 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.12/0.39 % Drodi V3.5.1
% 29.88/4.31 % Refutation found
% 29.88/4.31 % SZS status Theorem for theBenchmark: Theorem is valid
% 29.88/4.31 % SZS output start CNFRefutation for theBenchmark
% 29.88/4.31 fof(f56,axiom,(
% 29.88/4.31 (! [A] :( rel_str(A)=> bottom_of_relstr(A) = join_on_relstr(A,empty_set) ) )),
% 29.88/4.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.88/4.31 fof(f161,axiom,(
% 29.88/4.31 (! [A] :( rel_str(A)=> (! [B,C] :( element(C,the_carrier(A))=> ( ex_sup_of_relstr_set(A,B)=> ( C = join_on_relstr(A,B)<=> ( relstr_set_smaller(A,B,C)& (! [D] :( element(D,the_carrier(A))=> ( relstr_set_smaller(A,B,D)=> related(A,C,D) ) ) )) ) ) ) )) )),
% 29.88/4.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.88/4.31 fof(f206,axiom,(
% 29.88/4.31 (! [A] :( rel_str(A)=> element(bottom_of_relstr(A),the_carrier(A)) ) )),
% 29.88/4.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.88/4.31 fof(f605,lemma,(
% 29.88/4.31 (! [A] :( ( ~ empty_carrier(A)& antisymmetric_relstr(A)& lower_bounded_relstr(A)& rel_str(A) )=> ( ex_sup_of_relstr_set(A,empty_set)& ex_inf_of_relstr_set(A,the_carrier(A)) ) ) )),
% 29.88/4.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.88/4.31 fof(f610,conjecture,(
% 29.88/4.31 (! [A] :( ( ~ empty_carrier(A)& antisymmetric_relstr(A)& lower_bounded_relstr(A)& rel_str(A) )=> (! [B] :( element(B,the_carrier(A))=> related(A,bottom_of_relstr(A),B) ) )) )),
% 29.88/4.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.88/4.31 fof(f611,negated_conjecture,(
% 29.88/4.31 ~((! [A] :( ( ~ empty_carrier(A)& antisymmetric_relstr(A)& lower_bounded_relstr(A)& rel_str(A) )=> (! [B] :( element(B,the_carrier(A))=> related(A,bottom_of_relstr(A),B) ) )) ))),
% 29.88/4.31 inference(negated_conjecture,[status(cth)],[f610])).
% 29.88/4.31 fof(f660,lemma,(
% 29.88/4.31 (! [A] :( rel_str(A)=> (! [B] :( element(B,the_carrier(A))=> ( relstr_set_smaller(A,empty_set,B)& relstr_element_smaller(A,empty_set,B) ) ) )) )),
% 29.88/4.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.88/4.31 fof(f885,plain,(
% 29.88/4.31 ![A]: (~rel_str(A)|bottom_of_relstr(A)=join_on_relstr(A,empty_set))),
% 29.88/4.31 inference(pre_NNF_transformation,[status(esa)],[f56])).
% 29.88/4.31 fof(f886,plain,(
% 29.88/4.31 ![X0]: (~rel_str(X0)|bottom_of_relstr(X0)=join_on_relstr(X0,empty_set))),
% 29.88/4.31 inference(cnf_transformation,[status(esa)],[f885])).
% 29.88/4.31 fof(f1618,plain,(
% 29.88/4.31 ![A]: (~rel_str(A)|(![B,C]: (~element(C,the_carrier(A))|(~ex_sup_of_relstr_set(A,B)|(C=join_on_relstr(A,B)<=>(relstr_set_smaller(A,B,C)&(![D]: (~element(D,the_carrier(A))|(~relstr_set_smaller(A,B,D)|related(A,C,D))))))))))),
% 29.88/4.31 inference(pre_NNF_transformation,[status(esa)],[f161])).
% 29.88/4.31 fof(f1619,plain,(
% 29.88/4.31 ![A]: (~rel_str(A)|(![B,C]: (~element(C,the_carrier(A))|(~ex_sup_of_relstr_set(A,B)|((~C=join_on_relstr(A,B)|(relstr_set_smaller(A,B,C)&(![D]: (~element(D,the_carrier(A))|(~relstr_set_smaller(A,B,D)|related(A,C,D))))))&(C=join_on_relstr(A,B)|(~relstr_set_smaller(A,B,C)|(?[D]: (element(D,the_carrier(A))&(relstr_set_smaller(A,B,D)&~related(A,C,D)))))))))))),
% 29.88/4.31 inference(NNF_transformation,[status(esa)],[f1618])).
% 29.88/4.31 fof(f1620,plain,(
% 29.88/4.31 ![A]: (~rel_str(A)|(![C]: (~element(C,the_carrier(A))|(![B]: (~ex_sup_of_relstr_set(A,B)|((~C=join_on_relstr(A,B)|(relstr_set_smaller(A,B,C)&(![D]: (~element(D,the_carrier(A))|(~relstr_set_smaller(A,B,D)|related(A,C,D))))))&(C=join_on_relstr(A,B)|(~relstr_set_smaller(A,B,C)|(?[D]: (element(D,the_carrier(A))&(relstr_set_smaller(A,B,D)&~related(A,C,D))))))))))))),
% 29.88/4.31 inference(miniscoping,[status(esa)],[f1619])).
% 29.88/4.31 fof(f1621,plain,(
% 29.88/4.31 ![A]: (~rel_str(A)|(![C]: (~element(C,the_carrier(A))|(![B]: (~ex_sup_of_relstr_set(A,B)|((~C=join_on_relstr(A,B)|(relstr_set_smaller(A,B,C)&(![D]: (~element(D,the_carrier(A))|(~relstr_set_smaller(A,B,D)|related(A,C,D))))))&(C=join_on_relstr(A,B)|(~relstr_set_smaller(A,B,C)|(element(sk0_124(B,C,A),the_carrier(A))&(relstr_set_smaller(A,B,sk0_124(B,C,A))&~related(A,C,sk0_124(B,C,A))))))))))))),
% 29.88/4.31 inference(skolemization,[status(esa)],[f1620])).
% 29.88/4.31 fof(f1623,plain,(
% 29.88/4.31 ![X0,X1,X2,X3]: (~rel_str(X0)|~element(X1,the_carrier(X0))|~ex_sup_of_relstr_set(X0,X2)|~X1=join_on_relstr(X0,X2)|~element(X3,the_carrier(X0))|~relstr_set_smaller(X0,X2,X3)|related(X0,X1,X3))),
% 29.88/4.31 inference(cnf_transformation,[status(esa)],[f1621])).
% 29.88/4.31 fof(f1689,plain,(
% 29.88/4.31 ![A]: (~rel_str(A)|element(bottom_of_relstr(A),the_carrier(A)))),
% 29.88/4.31 inference(pre_NNF_transformation,[status(esa)],[f206])).
% 29.88/4.32 fof(f1690,plain,(
% 29.88/4.32 ![X0]: (~rel_str(X0)|element(bottom_of_relstr(X0),the_carrier(X0)))),
% 29.88/4.32 inference(cnf_transformation,[status(esa)],[f1689])).
% 29.88/4.32 fof(f3382,plain,(
% 29.88/4.32 ![A]: ((((empty_carrier(A)|~antisymmetric_relstr(A))|~lower_bounded_relstr(A))|~rel_str(A))|(ex_sup_of_relstr_set(A,empty_set)&ex_inf_of_relstr_set(A,the_carrier(A))))),
% 29.88/4.32 inference(pre_NNF_transformation,[status(esa)],[f605])).
% 29.88/4.32 fof(f3383,plain,(
% 29.88/4.32 ![X0]: (empty_carrier(X0)|~antisymmetric_relstr(X0)|~lower_bounded_relstr(X0)|~rel_str(X0)|ex_sup_of_relstr_set(X0,empty_set))),
% 29.88/4.32 inference(cnf_transformation,[status(esa)],[f3382])).
% 29.88/4.32 fof(f3398,plain,(
% 29.88/4.32 (?[A]: ((((~empty_carrier(A)&antisymmetric_relstr(A))&lower_bounded_relstr(A))&rel_str(A))&(?[B]: (element(B,the_carrier(A))&~related(A,bottom_of_relstr(A),B)))))),
% 29.88/4.32 inference(pre_NNF_transformation,[status(esa)],[f611])).
% 29.88/4.32 fof(f3399,plain,(
% 29.88/4.32 ((((~empty_carrier(sk0_392)&antisymmetric_relstr(sk0_392))&lower_bounded_relstr(sk0_392))&rel_str(sk0_392))&(element(sk0_393,the_carrier(sk0_392))&~related(sk0_392,bottom_of_relstr(sk0_392),sk0_393)))),
% 29.88/4.32 inference(skolemization,[status(esa)],[f3398])).
% 29.88/4.32 fof(f3400,plain,(
% 29.88/4.32 ~empty_carrier(sk0_392)),
% 29.88/4.32 inference(cnf_transformation,[status(esa)],[f3399])).
% 29.88/4.32 fof(f3401,plain,(
% 29.88/4.32 antisymmetric_relstr(sk0_392)),
% 29.88/4.32 inference(cnf_transformation,[status(esa)],[f3399])).
% 29.88/4.32 fof(f3402,plain,(
% 29.88/4.32 lower_bounded_relstr(sk0_392)),
% 29.88/4.32 inference(cnf_transformation,[status(esa)],[f3399])).
% 29.88/4.32 fof(f3403,plain,(
% 29.88/4.32 rel_str(sk0_392)),
% 29.88/4.32 inference(cnf_transformation,[status(esa)],[f3399])).
% 29.88/4.32 fof(f3404,plain,(
% 29.88/4.32 element(sk0_393,the_carrier(sk0_392))),
% 29.88/4.32 inference(cnf_transformation,[status(esa)],[f3399])).
% 29.88/4.32 fof(f3405,plain,(
% 29.88/4.32 ~related(sk0_392,bottom_of_relstr(sk0_392),sk0_393)),
% 29.88/4.32 inference(cnf_transformation,[status(esa)],[f3399])).
% 29.88/4.32 fof(f3562,plain,(
% 29.88/4.32 ![A]: (~rel_str(A)|(![B]: (~element(B,the_carrier(A))|(relstr_set_smaller(A,empty_set,B)&relstr_element_smaller(A,empty_set,B)))))),
% 29.88/4.32 inference(pre_NNF_transformation,[status(esa)],[f660])).
% 29.88/4.32 fof(f3563,plain,(
% 29.88/4.32 ![X0,X1]: (~rel_str(X0)|~element(X1,the_carrier(X0))|relstr_set_smaller(X0,empty_set,X1))),
% 29.88/4.32 inference(cnf_transformation,[status(esa)],[f3562])).
% 29.88/4.32 fof(f4364,plain,(
% 29.88/4.32 bottom_of_relstr(sk0_392)=join_on_relstr(sk0_392,empty_set)),
% 29.88/4.32 inference(resolution,[status(thm)],[f886,f3403])).
% 29.88/4.32 fof(f4365,plain,(
% 29.88/4.32 element(bottom_of_relstr(sk0_392),the_carrier(sk0_392))),
% 29.88/4.32 inference(resolution,[status(thm)],[f1690,f3403])).
% 29.88/4.32 fof(f4366,plain,(
% 29.88/4.32 spl0_52 <=> empty_carrier(sk0_392)),
% 29.88/4.32 introduced(split_symbol_definition)).
% 29.88/4.32 fof(f4367,plain,(
% 29.88/4.32 empty_carrier(sk0_392)|~spl0_52),
% 29.88/4.32 inference(component_clause,[status(thm)],[f4366])).
% 29.88/4.32 fof(f4369,plain,(
% 29.88/4.32 spl0_53 <=> lower_bounded_relstr(sk0_392)),
% 29.88/4.32 introduced(split_symbol_definition)).
% 29.88/4.32 fof(f4371,plain,(
% 29.88/4.32 ~lower_bounded_relstr(sk0_392)|spl0_53),
% 29.88/4.32 inference(component_clause,[status(thm)],[f4369])).
% 29.88/4.32 fof(f4372,plain,(
% 29.88/4.32 spl0_54 <=> rel_str(sk0_392)),
% 29.88/4.32 introduced(split_symbol_definition)).
% 29.88/4.32 fof(f4374,plain,(
% 29.88/4.32 ~rel_str(sk0_392)|spl0_54),
% 29.88/4.32 inference(component_clause,[status(thm)],[f4372])).
% 29.88/4.32 fof(f4380,plain,(
% 29.88/4.32 $false|spl0_54),
% 29.88/4.32 inference(forward_subsumption_resolution,[status(thm)],[f4374,f3403])).
% 29.88/4.32 fof(f4381,plain,(
% 29.88/4.32 spl0_54),
% 29.88/4.32 inference(contradiction_clause,[status(thm)],[f4380])).
% 29.88/4.32 fof(f4382,plain,(
% 29.88/4.32 $false|spl0_53),
% 29.88/4.32 inference(forward_subsumption_resolution,[status(thm)],[f4371,f3402])).
% 29.88/4.32 fof(f4383,plain,(
% 29.88/4.32 spl0_53),
% 29.88/4.32 inference(contradiction_clause,[status(thm)],[f4382])).
% 29.88/4.32 fof(f4384,plain,(
% 29.88/4.32 $false|~spl0_52),
% 29.88/4.32 inference(forward_subsumption_resolution,[status(thm)],[f4367,f3400])).
% 29.88/4.32 fof(f4385,plain,(
% 29.88/4.32 ~spl0_52),
% 29.88/4.32 inference(contradiction_clause,[status(thm)],[f4384])).
% 29.88/4.32 fof(f4386,plain,(
% 29.88/4.32 spl0_56 <=> ex_sup_of_relstr_set(sk0_392,empty_set)),
% 29.88/4.32 introduced(split_symbol_definition)).
% 29.88/4.32 fof(f4389,plain,(
% 29.88/4.32 empty_carrier(sk0_392)|~lower_bounded_relstr(sk0_392)|~rel_str(sk0_392)|ex_sup_of_relstr_set(sk0_392,empty_set)),
% 29.88/4.32 inference(resolution,[status(thm)],[f3383,f3401])).
% 29.88/4.32 fof(f4390,plain,(
% 29.88/4.32 spl0_52|~spl0_53|~spl0_54|spl0_56),
% 29.88/4.32 inference(split_clause,[status(thm)],[f4389,f4366,f4369,f4372,f4386])).
% 30.56/4.37 fof(f4767,plain,(
% 30.56/4.37 spl0_123 <=> relstr_set_smaller(sk0_392,empty_set,sk0_393)),
% 30.56/4.37 introduced(split_symbol_definition)).
% 30.56/4.37 fof(f4768,plain,(
% 30.56/4.37 relstr_set_smaller(sk0_392,empty_set,sk0_393)|~spl0_123),
% 30.56/4.37 inference(component_clause,[status(thm)],[f4767])).
% 30.56/4.37 fof(f4770,plain,(
% 30.56/4.37 ~rel_str(sk0_392)|relstr_set_smaller(sk0_392,empty_set,sk0_393)),
% 30.56/4.37 inference(resolution,[status(thm)],[f3563,f3404])).
% 30.56/4.37 fof(f4771,plain,(
% 30.56/4.37 ~spl0_54|spl0_123),
% 30.56/4.37 inference(split_clause,[status(thm)],[f4770,f4372,f4767])).
% 30.56/4.37 fof(f4776,plain,(
% 30.56/4.37 spl0_124 <=> element(sk0_393,the_carrier(sk0_392))),
% 30.56/4.37 introduced(split_symbol_definition)).
% 30.56/4.37 fof(f4778,plain,(
% 30.56/4.37 ~element(sk0_393,the_carrier(sk0_392))|spl0_124),
% 30.56/4.37 inference(component_clause,[status(thm)],[f4776])).
% 30.56/4.37 fof(f4784,plain,(
% 30.56/4.37 $false|spl0_124),
% 30.56/4.37 inference(forward_subsumption_resolution,[status(thm)],[f4778,f3404])).
% 30.56/4.37 fof(f4785,plain,(
% 30.56/4.37 spl0_124),
% 30.56/4.37 inference(contradiction_clause,[status(thm)],[f4784])).
% 30.56/4.37 fof(f5527,plain,(
% 30.56/4.37 spl0_268 <=> bottom_of_relstr(sk0_392)=join_on_relstr(sk0_392,empty_set)),
% 30.56/4.37 introduced(split_symbol_definition)).
% 30.56/4.37 fof(f5529,plain,(
% 30.56/4.37 ~bottom_of_relstr(sk0_392)=join_on_relstr(sk0_392,empty_set)|spl0_268),
% 30.56/4.37 inference(component_clause,[status(thm)],[f5527])).
% 30.56/4.37 fof(f5532,plain,(
% 30.56/4.37 ~bottom_of_relstr(sk0_392)=bottom_of_relstr(sk0_392)|spl0_268),
% 30.56/4.37 inference(forward_demodulation,[status(thm)],[f4364,f5529])).
% 30.56/4.37 fof(f5533,plain,(
% 30.56/4.37 $false|spl0_268),
% 30.56/4.37 inference(trivial_equality_resolution,[status(esa)],[f5532])).
% 30.56/4.37 fof(f5534,plain,(
% 30.56/4.37 spl0_268),
% 30.56/4.37 inference(contradiction_clause,[status(thm)],[f5533])).
% 30.56/4.37 fof(f9118,plain,(
% 30.56/4.37 spl0_699 <=> related(sk0_392,bottom_of_relstr(sk0_392),sk0_393)),
% 30.56/4.37 introduced(split_symbol_definition)).
% 30.56/4.37 fof(f9119,plain,(
% 30.56/4.37 related(sk0_392,bottom_of_relstr(sk0_392),sk0_393)|~spl0_699),
% 30.56/4.37 inference(component_clause,[status(thm)],[f9118])).
% 30.56/4.37 fof(f9592,plain,(
% 30.56/4.37 spl0_745 <=> ~ex_sup_of_relstr_set(sk0_392,X0)|~bottom_of_relstr(sk0_392)=join_on_relstr(sk0_392,X0)|~element(X1,the_carrier(sk0_392))|~relstr_set_smaller(sk0_392,X0,X1)|related(sk0_392,bottom_of_relstr(sk0_392),X1)),
% 30.56/4.37 introduced(split_symbol_definition)).
% 30.56/4.37 fof(f9593,plain,(
% 30.56/4.37 ![X0,X1]: (~ex_sup_of_relstr_set(sk0_392,X0)|~bottom_of_relstr(sk0_392)=join_on_relstr(sk0_392,X0)|~element(X1,the_carrier(sk0_392))|~relstr_set_smaller(sk0_392,X0,X1)|related(sk0_392,bottom_of_relstr(sk0_392),X1)|~spl0_745)),
% 30.56/4.37 inference(component_clause,[status(thm)],[f9592])).
% 30.56/4.37 fof(f9595,plain,(
% 30.56/4.37 ![X0,X1]: (~rel_str(sk0_392)|~ex_sup_of_relstr_set(sk0_392,X0)|~bottom_of_relstr(sk0_392)=join_on_relstr(sk0_392,X0)|~element(X1,the_carrier(sk0_392))|~relstr_set_smaller(sk0_392,X0,X1)|related(sk0_392,bottom_of_relstr(sk0_392),X1))),
% 30.56/4.37 inference(resolution,[status(thm)],[f4365,f1623])).
% 30.56/4.37 fof(f9596,plain,(
% 30.56/4.37 ~spl0_54|spl0_745),
% 30.56/4.37 inference(split_clause,[status(thm)],[f9595,f4372,f9592])).
% 30.56/4.37 fof(f9901,plain,(
% 30.56/4.37 ~ex_sup_of_relstr_set(sk0_392,empty_set)|~bottom_of_relstr(sk0_392)=join_on_relstr(sk0_392,empty_set)|~element(sk0_393,the_carrier(sk0_392))|related(sk0_392,bottom_of_relstr(sk0_392),sk0_393)|~spl0_745|~spl0_123),
% 30.56/4.37 inference(resolution,[status(thm)],[f9593,f4768])).
% 30.56/4.37 fof(f9902,plain,(
% 30.56/4.37 ~spl0_56|~spl0_268|~spl0_124|spl0_699|~spl0_745|~spl0_123),
% 30.56/4.37 inference(split_clause,[status(thm)],[f9901,f4386,f5527,f4776,f9118,f9592,f4767])).
% 30.56/4.37 fof(f9904,plain,(
% 30.56/4.37 $false|~spl0_699),
% 30.56/4.37 inference(forward_subsumption_resolution,[status(thm)],[f9119,f3405])).
% 30.56/4.37 fof(f9905,plain,(
% 30.56/4.37 ~spl0_699),
% 30.56/4.37 inference(contradiction_clause,[status(thm)],[f9904])).
% 30.56/4.37 fof(f9906,plain,(
% 30.56/4.37 $false),
% 30.56/4.37 inference(sat_refutation,[status(thm)],[f4381,f4383,f4385,f4390,f4771,f4785,f5534,f9596,f9902,f9905])).
% 30.56/4.37 % SZS output end CNFRefutation for theBenchmark.p
% 31.00/4.39 % Elapsed time: 4.055781 seconds
% 31.00/4.39 % CPU time: 30.856399 seconds
% 31.00/4.39 % Memory used: 284.679 MB
%------------------------------------------------------------------------------