0.04/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s 0.09/0.29 % Computer : n008.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 : 960 0.09/0.29 % WCLimit : 120 0.09/0.29 % DateTime : Tue Aug 9 02:52:53 EDT 2022 0.09/0.29 % CPUTime : 0.09/0.30 % Drodi V3.3.3 0.09/0.30 % Refutation found 0.09/0.30 % SZS status Theorem for theBenchmark: Theorem is valid 0.09/0.30 % SZS output start CNFRefutation for theBenchmark 0.09/0.30 fof(f1,conjecture,( 0.09/0.30 (? [A] : predicate2(A,kill,'AuntAgatha','AuntAgatha') )), 0.09/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.09/0.30 fof(f2,negated_conjecture,( 0.09/0.30 ~((? [A] : predicate2(A,kill,'AuntAgatha','AuntAgatha') ))), 0.09/0.30 inference(negated_conjecture,[status(cth)],[f1])). 0.09/0.30 fof(f3,axiom,( 0.09/0.30 (? [A,B,C] :( $true& predicate2(C,kill,A,'AuntAgatha')& (! [D,E] :( ( predicate1(E,live,D)& modifier_pp(E,in,'DreadburyMansion')& $true )=> ( 'AuntAgatha' = D| 'Charles' = D| 'Butler' = D ) ))& (! [F] :( (! [G,H] :( (? [I] : predicate2(I,hate,F,G))<= ( predicate2(H,kill,F,G)& $true ) ))<= $true ))& (! [N,O] :( ( $true& predicate2(O,hate,'AuntAgatha',N) )=> ~ (? [P] : predicate2(P,hate,'Charles',N) )))& ~ (? [Q] : predicate2(Q,hate,'AuntAgatha','Butler'))& (! [R] :( (? [S] : predicate2(S,hate,'AuntAgatha',R))<= ( 'Butler' != R& $true ) ))& 'AuntAgatha' != 'Butler'& (! [Z] :( ~ (! [A1] :( (? [B1] : predicate2(B1,hate,Z,A1))<= $true ))<= $true ))& (! [W,X] :( (? [Y] : predicate2(Y,hate,'Butler',W))<= ( predicate2(X,hate,'AuntAgatha',W)& $true ) ))& (! [T] :( ( $true& ~ (? [U] :( U = T& property2(U,rich,comp_than,'AuntAgatha') ) ))=> (? [V] : predicate2(V,hate,'Butler',T) )))& (! [J] :( $true=> ~ (? [K,L,M] :( predicate2(L,kill,J,K)& property2(M,rich,comp_than,K)& M = J& $true ) )))& modifier_pp(B,in,'DreadburyMansion')& predicate1(B,live,A) ) )), 0.09/0.30 file('/export/starexec/sandbox/benchmark/theBenchmark.p')). 0.09/0.30 fof(f4,plain,( 0.09/0.30 (![A]: ~predicate2(A,kill,'AuntAgatha','AuntAgatha'))), 0.09/0.30 inference(pre_NNF_transformation,[status(esa)],[f2])). 0.09/0.30 fof(f5,plain,( 0.09/0.30 ![X0,AuntAgatha]: (~predicate2(X0,kill,'AuntAgatha','AuntAgatha'))), 0.09/0.30 inference(cnf_transformation,[status(esa)],[f4])). 0.09/0.30 fof(f6,plain,( 0.09/0.30 ?[A,B,C]: ((((((((((((($true&predicate2(C,kill,A,'AuntAgatha'))&(![D,E]: (((~predicate1(E,live,D)|~modifier_pp(E,in,'DreadburyMansion'))|$false)|(('AuntAgatha'=D|'Charles'=D)|'Butler'=D))))&(![F]: ((![G,H]: ((?[I]: predicate2(I,hate,F,G))|(~predicate2(H,kill,F,G)|$false)))|$false)))&(![N,O]: (($false|~predicate2(O,hate,'AuntAgatha',N))|(![P]: ~predicate2(P,hate,'Charles',N)))))&(![Q]: ~predicate2(Q,hate,'AuntAgatha','Butler')))&(![R]: ((?[S]: predicate2(S,hate,'AuntAgatha',R))|('Butler'=R|$false))))&~'AuntAgatha'='Butler')&(![Z]: ((?[A1]: ((![B1]: ~predicate2(B1,hate,Z,A1))&$true))|$false)))&(![W,X]: ((?[Y]: predicate2(Y,hate,'Butler',W))|(~predicate2(X,hate,'AuntAgatha',W)|$false))))&(![T]: (($false|(?[U]: (U=T&property2(U,rich,comp_than,'AuntAgatha'))))|(?[V]: predicate2(V,hate,'Butler',T)))))&(![J]: ($false|(![K,L,M]: (((~predicate2(L,kill,J,K)|~property2(M,rich,comp_than,K))|~M=J)|$false)))))&modifier_pp(B,in,'DreadburyMansion'))&predicate1(B,live,A))), 0.09/0.30 inference(pre_NNF_transformation,[status(esa)],[f3])). 0.09/0.30 fof(f7,plain,( 0.09/0.30 ?[A,B]: ((((((((((((($true&(?[C]: predicate2(C,kill,A,'AuntAgatha')))&(![D]: (((![E]: (~predicate1(E,live,D)|~modifier_pp(E,in,'DreadburyMansion')))|$false)|(('AuntAgatha'=D|'Charles'=D)|'Butler'=D))))&((![F,G]: ((?[I]: predicate2(I,hate,F,G))|((![H]: ~predicate2(H,kill,F,G))|$false)))|$false))&(![N]: (($false|(![O]: ~predicate2(O,hate,'AuntAgatha',N)))|(![P]: ~predicate2(P,hate,'Charles',N)))))&(![Q]: ~predicate2(Q,hate,'AuntAgatha','Butler')))&(![R]: ((?[S]: predicate2(S,hate,'AuntAgatha',R))|('Butler'=R|$false))))&~'AuntAgatha'='Butler')&(((![Z]: ?[A1]: ![B1]: ~predicate2(B1,hate,Z,A1))&$true)|$false))&(![W]: ((?[Y]: predicate2(Y,hate,'Butler',W))|((![X]: ~predicate2(X,hate,'AuntAgatha',W))|$false))))&(![T]: (($false|(?[U]: (U=T&property2(U,rich,comp_than,'AuntAgatha'))))|(?[V]: predicate2(V,hate,'Butler',T)))))&($false|((![J,M]: ((![K]: ((![L]: ~predicate2(L,kill,J,K))|~property2(M,rich,comp_than,K)))|~M=J))|$false)))&modifier_pp(B,in,'DreadburyMansion'))&predicate1(B,live,A))), 0.09/0.30 inference(miniscoping,[status(esa)],[f6])). 0.09/0.30 fof(f8,plain,( 0.09/0.30 ((((((((((((($true&predicate2(sk0_2,kill,sk0_0,'AuntAgatha'))&(![D]: (((![E]: (~predicate1(E,live,D)|~modifier_pp(E,in,'DreadburyMansion')))|$false)|(('AuntAgatha'=D|'Charles'=D)|'Butler'=D))))&((![F,G]: (predicate2(sk0_3(G,F),hate,F,G)|((![H]: ~predicate2(H,kill,F,G))|$false)))|$false))&(![N]: (($false|(![O]: ~predicate2(O,hate,'AuntAgatha',N)))|(![P]: ~predicate2(P,hate,'Charles',N)))))&(![Q]: ~predicate2(Q,hate,'AuntAgatha','Butler')))&(![R]: (predicate2(sk0_4(R),hate,'AuntAgatha',R)|('Butler'=R|$false))))&~'AuntAgatha'='Butler')&(((![Z]: ![B1]: ~predicate2(B1,hate,Z,sk0_5(Z)))&$true)|$false))&(![W]: (predicate2(sk0_6(W),hate,'Butler',W)|((![X]: ~predicate2(X,hate,'AuntAgatha',W))|$false))))&(![T]: (($false|(sk0_7(T)=T&property2(sk0_7(T),rich,comp_than,'AuntAgatha')))|predicate2(sk0_8(T),hate,'Butler',T))))&($false|((![J,M]: ((![K]: ((![L]: ~predicate2(L,kill,J,K))|~property2(M,rich,comp_than,K)))|~M=J))|$false)))&modifier_pp(sk0_1,in,'DreadburyMansion'))&predicate1(sk0_1,live,sk0_0))), 0.09/0.30 inference(skolemization,[status(esa)],[f7])). 0.09/0.30 fof(f9,plain,( 0.09/0.30 ?[A,B]: (((((((((((((?[C]: predicate2(sk0_2,kill,sk0_0,'AuntAgatha'))&(![D]: ((![E]: (~predicate1(E,live,D)|~modifier_pp(E,in,'DreadburyMansion')))|(('AuntAgatha'=D|'Charles'=D)|'Butler'=D))))&(![F,G]: ((?[I]: predicate2(sk0_3(G,F),hate,F,G))|(![H]: ~predicate2(H,kill,F,G)))))&(![N]: ((![O]: ~predicate2(O,hate,'AuntAgatha',N))|(![P]: ~predicate2(P,hate,'Charles',N)))))&(![Q]: ~predicate2(Q,hate,'AuntAgatha','Butler')))&(![R]: ((?[S]: predicate2(sk0_4(R),hate,'AuntAgatha',R))|'Butler'=R)))&~'AuntAgatha'='Butler')&(![Z]: ?[A1]: ![B1]: ~predicate2(B1,hate,Z,sk0_5(Z))))&(![W]: ((?[Y]: predicate2(sk0_6(W),hate,'Butler',W))|(![X]: ~predicate2(X,hate,'AuntAgatha',W)))))&(![T]: ((?[U]: (sk0_7(T)=T&property2(sk0_7(T),rich,comp_than,'AuntAgatha')))|(?[V]: predicate2(sk0_8(T),hate,'Butler',T)))))&(![J,M]: ((![K]: ((![L]: ~predicate2(L,kill,J,K))|~property2(M,rich,comp_than,K)))|~M=J)))&modifier_pp(sk0_1,in,'DreadburyMansion'))&predicate1(sk0_1,live,sk0_0))), 0.09/0.30 inference($true_and_$false_simplification,[status(esa)],[f8])). 0.09/0.30 fof(f10,plain,( 0.09/0.30 ![AuntAgatha]: (predicate2(sk0_2,kill,sk0_0,'AuntAgatha'))), 0.09/0.30 inference(cnf_transformation,[status(esa)],[f9])). 0.09/0.30 fof(f11,plain,( 0.09/0.30 ![X0,X1,DreadburyMansion,AuntAgatha,Charles,Butler]: (~predicate1(X0,live,X1)|~modifier_pp(X0,in,'DreadburyMansion')|'AuntAgatha'=X1|'Charles'=X1|'Butler'=X1)), 0.09/0.30 inference(cnf_transformation,[status(esa)],[f9])). 0.09/0.30 fof(f12,plain,( 0.09/0.30 ![X0,X1,X2]: (predicate2(sk0_3(X0,X1),hate,X1,X0)|~predicate2(X2,kill,X1,X0))), 0.09/0.30 inference(cnf_transformation,[status(esa)],[f9])). 0.09/0.30 fof(f13,plain,( 0.09/0.30 ![X0,AuntAgatha,X1,X2,Charles]: (~predicate2(X0,hate,'AuntAgatha',X1)|~predicate2(X2,hate,'Charles',X1))), 0.09/0.30 inference(cnf_transformation,[status(esa)],[f9])). 0.09/0.30 fof(f15,plain,( 0.09/0.30 ![X0,AuntAgatha,Butler]: (predicate2(sk0_4(X0),hate,'AuntAgatha',X0)|'Butler'=X0)), 0.09/0.30 inference(cnf_transformation,[status(esa)],[f9])). 0.09/0.30 fof(f16,plain,( 0.09/0.30 ![AuntAgatha,Butler]: (~'AuntAgatha'='Butler')), 0.09/0.30 inference(cnf_transformation,[status(esa)],[f9])). 0.09/0.30 fof(f17,plain,( 0.09/0.30 ![X0,X1]: (~predicate2(X0,hate,X1,sk0_5(X1)))), 0.09/0.30 inference(cnf_transformation,[status(esa)],[f9])). 0.09/0.30 fof(f18,plain,( 0.09/0.30 ![X0,Butler,X1,AuntAgatha]: (predicate2(sk0_6(X0),hate,'Butler',X0)|~predicate2(X1,hate,'AuntAgatha',X0))), 0.09/0.30 inference(cnf_transformation,[status(esa)],[f9])). 0.09/0.30 fof(f19,plain,( 0.09/0.30 ![X0,Butler]: (sk0_7(X0)=X0|predicate2(sk0_8(X0),hate,'Butler',X0))), 0.09/0.30 inference(cnf_transformation,[status(esa)],[f9])). 0.09/0.30 fof(f20,plain,( 0.09/0.30 ![X0,AuntAgatha,Butler]: (property2(sk0_7(X0),rich,comp_than,'AuntAgatha')|predicate2(sk0_8(X0),hate,'Butler',X0))), 0.09/0.30 inference(cnf_transformation,[status(esa)],[f9])). 0.09/0.30 fof(f21,plain,( 0.09/0.30 ![X0,X1,X2,X3]: (~predicate2(X0,kill,X1,X2)|~property2(X3,rich,comp_than,X2)|~X3=X1)), 0.09/0.30 inference(cnf_transformation,[status(esa)],[f9])). 0.09/0.30 fof(f22,plain,( 0.09/0.30 ![DreadburyMansion]: (modifier_pp(sk0_1,in,'DreadburyMansion'))), 0.09/0.30 inference(cnf_transformation,[status(esa)],[f9])). 0.09/0.30 fof(f23,plain,( 0.09/0.30 predicate1(sk0_1,live,sk0_0)), 0.09/0.30 inference(cnf_transformation,[status(esa)],[f9])). 0.09/0.30 fof(f24,plain,( 0.09/0.30 ![X0,X1,X2]: (~predicate2(X0,kill,X1,X2)|~property2(X1,rich,comp_than,X2))), 0.09/0.30 inference(destructive_equality_resolution,[status(esa)],[f21])). 0.09/0.30 fof(f25,plain,( 0.09/0.30 ![AuntAgatha]: (~property2(sk0_0,rich,comp_than,'AuntAgatha'))), 0.09/0.30 inference(resolution,[status(thm)],[f24,f10])). 0.09/0.30 fof(f26,plain,( 0.09/0.30 spl0_0 <=> modifier_pp(sk0_1,in,'DreadburyMansion')), 0.09/0.30 introduced(split_symbol_definition)). 0.09/0.30 fof(f28,plain,( 0.09/0.30 ![DreadburyMansion]: (~modifier_pp(sk0_1,in,'DreadburyMansion')|spl0_0)), 0.09/0.30 inference(component_clause,[status(thm)],[f26])). 0.09/0.30 fof(f29,plain,( 0.09/0.30 spl0_1 <=> 'AuntAgatha'=sk0_0), 0.09/0.30 introduced(split_symbol_definition)). 0.09/0.30 fof(f30,plain,( 0.09/0.30 ![AuntAgatha]: ('AuntAgatha'=sk0_0|~spl0_1)), 0.09/0.30 inference(component_clause,[status(thm)],[f29])). 0.09/0.30 fof(f32,plain,( 0.09/0.30 spl0_2 <=> 'Charles'=sk0_0), 0.09/0.30 introduced(split_symbol_definition)). 0.09/0.30 fof(f33,plain,( 0.09/0.30 ![Charles]: ('Charles'=sk0_0|~spl0_2)), 0.09/0.30 inference(component_clause,[status(thm)],[f32])). 0.09/0.30 fof(f35,plain,( 0.09/0.30 spl0_3 <=> 'Butler'=sk0_0), 0.09/0.30 introduced(split_symbol_definition)). 0.09/0.30 fof(f36,plain,( 0.09/0.30 ![Butler]: ('Butler'=sk0_0|~spl0_3)), 0.09/0.30 inference(component_clause,[status(thm)],[f35])). 0.09/0.30 fof(f38,plain,( 0.09/0.30 ![DreadburyMansion,AuntAgatha,Charles,Butler]: (~modifier_pp(sk0_1,in,'DreadburyMansion')|'AuntAgatha'=sk0_0|'Charles'=sk0_0|'Butler'=sk0_0)), 0.09/0.30 inference(resolution,[status(thm)],[f11,f23])). 0.09/0.30 fof(f39,plain,( 0.09/0.30 ~spl0_0|spl0_1|spl0_2|spl0_3), 0.09/0.30 inference(split_clause,[status(thm)],[f38,f26,f29,f32,f35])). 0.09/0.30 fof(f40,plain,( 0.09/0.30 ![AuntAgatha]: (predicate2(sk0_3('AuntAgatha',sk0_0),hate,sk0_0,'AuntAgatha'))), 0.09/0.30 inference(resolution,[status(thm)],[f12,f10])). 0.09/0.30 fof(f41,plain,( 0.09/0.30 $false|spl0_0), 0.09/0.30 inference(forward_subsumption_resolution,[status(thm)],[f28,f22])). 0.09/0.30 fof(f42,plain,( 0.09/0.30 spl0_0), 0.09/0.30 inference(contradiction_clause,[status(thm)],[f41])). 0.09/0.30 fof(f47,plain,( 0.09/0.30 ![Butler,X0,X1,Charles]: ('Butler'=X0|~predicate2(X1,hate,'Charles',X0))), 0.09/0.30 inference(resolution,[status(thm)],[f15,f13])). 0.09/0.30 fof(f49,plain,( 0.09/0.30 ![X0,Butler]: (predicate2(sk0_6(X0),hate,'Butler',X0)|'Butler'=X0)), 0.09/0.30 inference(resolution,[status(thm)],[f18,f15])). 0.09/0.30 fof(f51,plain,( 0.09/0.30 ![Butler,AuntAgatha]: (property2(sk0_7(sk0_5('Butler')),rich,comp_than,'AuntAgatha'))), 0.09/0.30 inference(resolution,[status(thm)],[f20,f17])). 0.09/0.30 fof(f53,plain,( 0.09/0.30 spl0_4 <=> 'AuntAgatha'='Butler'), 0.09/0.30 introduced(split_symbol_definition)). 0.09/0.30 fof(f54,plain,( 0.09/0.30 ![AuntAgatha,Butler]: ('AuntAgatha'='Butler'|~spl0_4)), 0.09/0.30 inference(component_clause,[status(thm)],[f53])). 0.09/0.30 fof(f64,plain,( 0.09/0.30 $false|~spl0_4), 0.09/0.30 inference(forward_subsumption_resolution,[status(thm)],[f54,f16])). 0.09/0.30 fof(f65,plain,( 0.09/0.30 ~spl0_4), 0.09/0.30 inference(contradiction_clause,[status(thm)],[f64])). 0.09/0.30 fof(f90,plain,( 0.09/0.30 ![Butler]: ('Butler'=sk0_5('Butler'))), 0.09/0.30 inference(resolution,[status(thm)],[f49,f17])). 0.09/0.30 fof(f91,plain,( 0.09/0.30 ![AuntAgatha]: (predicate2(sk0_2,kill,'AuntAgatha','AuntAgatha')|~spl0_1)), 0.09/0.30 inference(forward_demodulation,[status(thm)],[f30,f10])). 0.09/0.30 fof(f92,plain,( 0.09/0.30 $false|~spl0_1), 0.09/0.30 inference(forward_subsumption_resolution,[status(thm)],[f91,f5])). 0.09/0.30 fof(f93,plain,( 0.09/0.30 ~spl0_1), 0.09/0.30 inference(contradiction_clause,[status(thm)],[f92])). 0.09/0.30 fof(f98,plain,( 0.09/0.30 ![AuntAgatha,Charles]: (predicate2(sk0_3('AuntAgatha','Charles'),hate,sk0_0,'AuntAgatha')|~spl0_2)), 0.09/0.30 inference(forward_demodulation,[status(thm)],[f33,f40])). 0.09/0.30 fof(f99,plain,( 0.09/0.30 ![AuntAgatha,Charles]: (predicate2(sk0_3('AuntAgatha','Charles'),hate,'Charles','AuntAgatha')|~spl0_2)), 0.09/0.30 inference(forward_demodulation,[status(thm)],[f33,f98])). 0.09/0.30 fof(f104,plain,( 0.09/0.30 ![Butler,AuntAgatha]: (property2(sk0_7('Butler'),rich,comp_than,'AuntAgatha'))), 0.09/0.30 inference(forward_demodulation,[status(thm)],[f90,f51])). 0.09/0.30 fof(f107,plain,( 0.09/0.30 ![Butler]: (sk0_7(sk0_5('Butler'))=sk0_5('Butler'))), 0.09/0.30 inference(resolution,[status(thm)],[f19,f17])). 0.09/0.30 fof(f108,plain,( 0.09/0.30 ![Butler]: (sk0_7('Butler')=sk0_5('Butler'))), 0.09/0.30 inference(forward_demodulation,[status(thm)],[f90,f107])). 0.09/0.30 fof(f109,plain,( 0.09/0.30 ![Butler]: (sk0_7('Butler')='Butler')), 0.09/0.30 inference(forward_demodulation,[status(thm)],[f90,f108])). 0.09/0.30 fof(f123,plain,( 0.09/0.30 ![Butler,AuntAgatha]: (property2('Butler',rich,comp_than,'AuntAgatha'))), 0.09/0.30 inference(backward_demodulation,[status(thm)],[f109,f104])). 0.09/0.30 fof(f137,plain,( 0.09/0.30 ![Butler,AuntAgatha]: ('Butler'='AuntAgatha'|~spl0_2)), 0.09/0.30 inference(resolution,[status(thm)],[f47,f99])). 0.14/0.52 fof(f138,plain,( 0.14/0.52 spl0_4|~spl0_2), 0.14/0.52 inference(split_clause,[status(thm)],[f137,f53,f32])). 0.14/0.52 fof(f155,plain,( 0.14/0.52 ![Butler,AuntAgatha]: (~property2('Butler',rich,comp_than,'AuntAgatha')|~spl0_3)), 0.14/0.52 inference(forward_demodulation,[status(thm)],[f36,f25])). 0.14/0.52 fof(f168,plain,( 0.14/0.52 $false|~spl0_3), 0.14/0.52 inference(forward_subsumption_resolution,[status(thm)],[f123,f155])). 0.14/0.52 fof(f169,plain,( 0.14/0.52 ~spl0_3), 0.14/0.52 inference(contradiction_clause,[status(thm)],[f168])). 0.14/0.52 fof(f170,plain,( 0.14/0.52 $false), 0.14/0.52 inference(sat_refutation,[status(thm)],[f39,f42,f65,f93,f138,f169])). 0.14/0.52 % SZS output end CNFRefutation for theBenchmark.p 0.14/0.52 % Elapsed time: 0.016365 seconds 0.14/0.52 % CPU time: 0.019744 seconds 0.14/0.52 % Memory used: 7.309 MB 0.14/0.52 EOF