TSTP Solution File: PUZ001+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : PUZ001+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:31:43 EDT 2023
% Result : Theorem 0.15s 0.32s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : PUZ001+2 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n005.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 10:29:51 EDT 2023
% 0.09/0.31 % 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(f1,axiom,(
% 0.15/0.32 (? [A,B,C] :( $true& predicate1(B,live,A)& modifier_pp(B,in,'DreadburyMansion')& predicate2(C,kill,A,'AuntAgatha')& (! [D,E] :( ( $true& predicate1(E,live,D)& modifier_pp(E,in,'DreadburyMansion') )=> ( D = 'AuntAgatha'| D = 'Butler'| D = 'Charles' ) ))& (! [F] :( $true=> (! [G,H] :( ( $true& predicate2(H,kill,F,G) )=> (? [I] : predicate2(I,hate,F,G) )) )))& (! [J] :( $true=> ~ (? [K,L,M] :( $true& predicate2(L,kill,J,K)& property2(M,rich,comp_than,K)& J = M ) )))& (! [N,O] :( ( $true& predicate2(O,hate,'AuntAgatha',N) )=> ~ (? [P] : predicate2(P,hate,'Charles',N) )))& ~ (? [Q] : predicate2(Q,hate,'AuntAgatha','Butler'))& (! [R] :( ( $true& R != 'Butler' )=> (? [S] : predicate2(S,hate,'AuntAgatha',R) )))& (! [T] :( ( $true& ~ (? [U] :( property2(U,rich,comp_than,'AuntAgatha')& T = U ) ))=> (? [V] : predicate2(V,hate,'Butler',T) )))& (! [W,X] :( ( $true& predicate2(X,hate,'AuntAgatha',W) )=> (? [Y] : predicate2(Y,hate,'Butler',W) )))& (! [Z] :( $true=> ~ (! [A1] :( $true=> (? [B1] : predicate2(B1,hate,Z,A1) )) )))& 'AuntAgatha' != 'Butler' ) )),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f2,conjecture,(
% 0.15/0.32 (? [A] : predicate2(A,kill,'AuntAgatha','AuntAgatha') )),
% 0.15/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.32 fof(f3,negated_conjecture,(
% 0.15/0.32 ~((? [A] : predicate2(A,kill,'AuntAgatha','AuntAgatha') ))),
% 0.15/0.32 inference(negated_conjecture,[status(cth)],[f2])).
% 0.15/0.32 fof(f4,plain,(
% 0.15/0.32 ?[A,B,C]: ((((((((((((($true&predicate1(B,live,A))&modifier_pp(B,in,'DreadburyMansion'))&predicate2(C,kill,A,'AuntAgatha'))&(![D,E]: ((($false|~predicate1(E,live,D))|~modifier_pp(E,in,'DreadburyMansion'))|((D='AuntAgatha'|D='Butler')|D='Charles'))))&(![F]: ($false|(![G,H]: (($false|~predicate2(H,kill,F,G))|(?[I]: predicate2(I,hate,F,G)))))))&(![J]: ($false|(![K,L,M]: ((($false|~predicate2(L,kill,J,K))|~property2(M,rich,comp_than,K))|~J=M)))))&(![N,O]: (($false|~predicate2(O,hate,'AuntAgatha',N))|(![P]: ~predicate2(P,hate,'Charles',N)))))&(![Q]: ~predicate2(Q,hate,'AuntAgatha','Butler')))&(![R]: (($false|R='Butler')|(?[S]: predicate2(S,hate,'AuntAgatha',R)))))&(![T]: (($false|(?[U]: (property2(U,rich,comp_than,'AuntAgatha')&T=U)))|(?[V]: predicate2(V,hate,'Butler',T)))))&(![W,X]: (($false|~predicate2(X,hate,'AuntAgatha',W))|(?[Y]: predicate2(Y,hate,'Butler',W)))))&(![Z]: ($false|(?[A1]: ($true&(![B1]: ~predicate2(B1,hate,Z,A1)))))))&~'AuntAgatha'='Butler')),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.15/0.32 fof(f5,plain,(
% 0.15/0.32 ((((((((((?[A]: ((?[B]: (($true&predicate1(B,live,A))&modifier_pp(B,in,'DreadburyMansion')))&(?[C]: predicate2(C,kill,A,'AuntAgatha'))))&(![D]: ((![E]: (($false|~predicate1(E,live,D))|~modifier_pp(E,in,'DreadburyMansion')))|((D='AuntAgatha'|D='Butler')|D='Charles'))))&($false|(![F,G]: (($false|(![H]: ~predicate2(H,kill,F,G)))|(?[I]: predicate2(I,hate,F,G))))))&($false|(![J,M]: ((![K]: (($false|(![L]: ~predicate2(L,kill,J,K)))|~property2(M,rich,comp_than,K)))|~J=M))))&(![N]: (($false|(![O]: ~predicate2(O,hate,'AuntAgatha',N)))|(![P]: ~predicate2(P,hate,'Charles',N)))))&(![Q]: ~predicate2(Q,hate,'AuntAgatha','Butler')))&(![R]: (($false|R='Butler')|(?[S]: predicate2(S,hate,'AuntAgatha',R)))))&(![T]: (($false|(?[U]: (property2(U,rich,comp_than,'AuntAgatha')&T=U)))|(?[V]: predicate2(V,hate,'Butler',T)))))&(![W]: (($false|(![X]: ~predicate2(X,hate,'AuntAgatha',W)))|(?[Y]: predicate2(Y,hate,'Butler',W)))))&($false|($true&(![Z]: ?[A1]: ![B1]: ~predicate2(B1,hate,Z,A1)))))&~'AuntAgatha'='Butler'),
% 0.15/0.32 inference(miniscoping,[status(esa)],[f4])).
% 0.15/0.32 fof(f6,plain,(
% 0.15/0.32 (((((((((((($true&predicate1(sk0_1,live,sk0_0))&modifier_pp(sk0_1,in,'DreadburyMansion'))&predicate2(sk0_2,kill,sk0_0,'AuntAgatha'))&(![D]: ((![E]: (($false|~predicate1(E,live,D))|~modifier_pp(E,in,'DreadburyMansion')))|((D='AuntAgatha'|D='Butler')|D='Charles'))))&($false|(![F,G]: (($false|(![H]: ~predicate2(H,kill,F,G)))|predicate2(sk0_3(G,F),hate,F,G)))))&($false|(![J,M]: ((![K]: (($false|(![L]: ~predicate2(L,kill,J,K)))|~property2(M,rich,comp_than,K)))|~J=M))))&(![N]: (($false|(![O]: ~predicate2(O,hate,'AuntAgatha',N)))|(![P]: ~predicate2(P,hate,'Charles',N)))))&(![Q]: ~predicate2(Q,hate,'AuntAgatha','Butler')))&(![R]: (($false|R='Butler')|predicate2(sk0_4(R),hate,'AuntAgatha',R))))&(![T]: (($false|(property2(sk0_5(T),rich,comp_than,'AuntAgatha')&T=sk0_5(T)))|predicate2(sk0_6(T),hate,'Butler',T))))&(![W]: (($false|(![X]: ~predicate2(X,hate,'AuntAgatha',W)))|predicate2(sk0_7(W),hate,'Butler',W))))&($false|($true&(![Z]: ![B1]: ~predicate2(B1,hate,Z,sk0_8(Z))))))&~'AuntAgatha'='Butler'),
% 0.15/0.32 inference(skolemization,[status(esa)],[f5])).
% 0.15/0.32 fof(f7,plain,(
% 0.15/0.32 ((((((((((?[A]: ((?[B]: (predicate1(sk0_1,live,sk0_0)&modifier_pp(sk0_1,in,'DreadburyMansion')))&(?[C]: predicate2(sk0_2,kill,sk0_0,'AuntAgatha'))))&(![D]: ((![E]: (~predicate1(E,live,D)|~modifier_pp(E,in,'DreadburyMansion')))|((D='AuntAgatha'|D='Butler')|D='Charles'))))&(![F,G]: ((![H]: ~predicate2(H,kill,F,G))|(?[I]: predicate2(sk0_3(G,F),hate,F,G)))))&(![J,M]: ((![K]: ((![L]: ~predicate2(L,kill,J,K))|~property2(M,rich,comp_than,K)))|~J=M)))&(![N]: ((![O]: ~predicate2(O,hate,'AuntAgatha',N))|(![P]: ~predicate2(P,hate,'Charles',N)))))&(![Q]: ~predicate2(Q,hate,'AuntAgatha','Butler')))&(![R]: (R='Butler'|(?[S]: predicate2(sk0_4(R),hate,'AuntAgatha',R)))))&(![T]: ((?[U]: (property2(sk0_5(T),rich,comp_than,'AuntAgatha')&T=sk0_5(T)))|(?[V]: predicate2(sk0_6(T),hate,'Butler',T)))))&(![W]: ((![X]: ~predicate2(X,hate,'AuntAgatha',W))|(?[Y]: predicate2(sk0_7(W),hate,'Butler',W)))))&(![Z]: ?[A1]: ![B1]: ~predicate2(B1,hate,Z,sk0_8(Z))))&~'AuntAgatha'='Butler'),
% 0.15/0.32 inference($true_and_$false_simplification,[status(esa)],[f6])).
% 0.15/0.32 fof(f8,plain,(
% 0.15/0.32 predicate1(sk0_1,live,sk0_0)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.32 fof(f9,plain,(
% 0.15/0.32 ![DreadburyMansion]: (modifier_pp(sk0_1,in,'DreadburyMansion'))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.32 fof(f10,plain,(
% 0.15/0.32 ![AuntAgatha]: (predicate2(sk0_2,kill,sk0_0,'AuntAgatha'))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.32 fof(f11,plain,(
% 0.15/0.32 ![X0,X1,DreadburyMansion,AuntAgatha,Butler,Charles]: (~predicate1(X0,live,X1)|~modifier_pp(X0,in,'DreadburyMansion')|X1='AuntAgatha'|X1='Butler'|X1='Charles')),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.32 fof(f12,plain,(
% 0.15/0.32 ![X0,X1,X2]: (~predicate2(X0,kill,X1,X2)|predicate2(sk0_3(X2,X1),hate,X1,X2))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.32 fof(f13,plain,(
% 0.15/0.32 ![X0,X1,X2,X3]: (~predicate2(X0,kill,X1,X2)|~property2(X3,rich,comp_than,X2)|~X1=X3)),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.32 fof(f14,plain,(
% 0.15/0.32 ![X0,AuntAgatha,X1,X2,Charles]: (~predicate2(X0,hate,'AuntAgatha',X1)|~predicate2(X2,hate,'Charles',X1))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.32 fof(f16,plain,(
% 0.15/0.32 ![X0,Butler,AuntAgatha]: (X0='Butler'|predicate2(sk0_4(X0),hate,'AuntAgatha',X0))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.32 fof(f17,plain,(
% 0.15/0.32 ![X0,AuntAgatha,Butler]: (property2(sk0_5(X0),rich,comp_than,'AuntAgatha')|predicate2(sk0_6(X0),hate,'Butler',X0))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.32 fof(f18,plain,(
% 0.15/0.32 ![X0,Butler]: (X0=sk0_5(X0)|predicate2(sk0_6(X0),hate,'Butler',X0))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.32 fof(f19,plain,(
% 0.15/0.32 ![X0,AuntAgatha,X1,Butler]: (~predicate2(X0,hate,'AuntAgatha',X1)|predicate2(sk0_7(X1),hate,'Butler',X1))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.32 fof(f20,plain,(
% 0.15/0.32 ![X0,X1]: (~predicate2(X0,hate,X1,sk0_8(X1)))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.32 fof(f21,plain,(
% 0.15/0.32 ![AuntAgatha,Butler]: (~'AuntAgatha'='Butler')),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f7])).
% 0.15/0.32 fof(f22,plain,(
% 0.15/0.32 (![A]: ~predicate2(A,kill,'AuntAgatha','AuntAgatha'))),
% 0.15/0.32 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.15/0.32 fof(f23,plain,(
% 0.15/0.32 ![X0,AuntAgatha]: (~predicate2(X0,kill,'AuntAgatha','AuntAgatha'))),
% 0.15/0.32 inference(cnf_transformation,[status(esa)],[f22])).
% 0.15/0.32 fof(f24,plain,(
% 0.15/0.32 ![X0,X1,X2]: (~predicate2(X0,kill,X1,X2)|~property2(X1,rich,comp_than,X2))),
% 0.15/0.32 inference(destructive_equality_resolution,[status(esa)],[f13])).
% 0.15/0.32 fof(f27,plain,(
% 0.15/0.32 ![Butler]: (sk0_8('Butler')=sk0_5(sk0_8('Butler')))),
% 0.15/0.32 inference(resolution,[status(thm)],[f18,f20])).
% 0.15/0.32 fof(f28,plain,(
% 0.15/0.32 ![AuntAgatha]: (predicate2(sk0_3('AuntAgatha',sk0_0),hate,sk0_0,'AuntAgatha'))),
% 0.15/0.32 inference(resolution,[status(thm)],[f12,f10])).
% 0.15/0.32 fof(f29,plain,(
% 0.15/0.32 ![X0,AuntAgatha,Butler]: (~predicate2(X0,hate,'AuntAgatha',sk0_8('Butler')))),
% 0.15/0.32 inference(resolution,[status(thm)],[f19,f20])).
% 0.15/0.32 fof(f30,plain,(
% 0.15/0.32 ![X0,AuntAgatha,Butler,Charles]: (~predicate1(sk0_1,live,X0)|X0='AuntAgatha'|X0='Butler'|X0='Charles')),
% 0.15/0.32 inference(resolution,[status(thm)],[f11,f9])).
% 0.15/0.32 fof(f42,plain,(
% 0.15/0.32 ![Butler]: (sk0_8('Butler')='Butler')),
% 0.15/0.32 inference(resolution,[status(thm)],[f29,f16])).
% 0.15/0.32 fof(f44,plain,(
% 0.15/0.32 ![Butler]: (sk0_8('Butler')=sk0_5('Butler'))),
% 0.15/0.32 inference(backward_demodulation,[status(thm)],[f42,f27])).
% 0.15/0.32 fof(f45,plain,(
% 0.15/0.32 ![Butler]: ('Butler'=sk0_5('Butler'))),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f42,f44])).
% 0.15/0.32 fof(f46,plain,(
% 0.15/0.32 ![X0,Butler]: (~predicate2(X0,hate,'Butler','Butler'))),
% 0.15/0.32 inference(paramodulation,[status(thm)],[f42,f20])).
% 0.15/0.32 fof(f56,plain,(
% 0.15/0.32 ![Butler,AuntAgatha]: (property2(sk0_5('Butler'),rich,comp_than,'AuntAgatha'))),
% 0.15/0.32 inference(resolution,[status(thm)],[f46,f17])).
% 0.15/0.32 fof(f57,plain,(
% 0.15/0.32 ![Butler,AuntAgatha]: (property2('Butler',rich,comp_than,'AuntAgatha'))),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f45,f56])).
% 0.15/0.32 fof(f59,plain,(
% 0.15/0.32 ![X0,Butler,AuntAgatha]: (~predicate2(X0,kill,'Butler','AuntAgatha'))),
% 0.15/0.32 inference(resolution,[status(thm)],[f57,f24])).
% 0.15/0.32 fof(f61,plain,(
% 0.15/0.32 spl0_4 <=> sk0_0='AuntAgatha'),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f62,plain,(
% 0.15/0.32 ![AuntAgatha]: (sk0_0='AuntAgatha'|~spl0_4)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f61])).
% 0.15/0.32 fof(f64,plain,(
% 0.15/0.32 spl0_5 <=> sk0_0='Butler'),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f65,plain,(
% 0.15/0.32 ![Butler]: (sk0_0='Butler'|~spl0_5)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f64])).
% 0.15/0.32 fof(f67,plain,(
% 0.15/0.32 spl0_6 <=> sk0_0='Charles'),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f68,plain,(
% 0.15/0.32 ![Charles]: (sk0_0='Charles'|~spl0_6)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f67])).
% 0.15/0.32 fof(f70,plain,(
% 0.15/0.32 ![AuntAgatha,Butler,Charles]: (sk0_0='AuntAgatha'|sk0_0='Butler'|sk0_0='Charles')),
% 0.15/0.32 inference(resolution,[status(thm)],[f30,f8])).
% 0.15/0.32 fof(f71,plain,(
% 0.15/0.32 spl0_4|spl0_5|spl0_6),
% 0.15/0.32 inference(split_clause,[status(thm)],[f70,f61,f64,f67])).
% 0.15/0.32 fof(f79,plain,(
% 0.15/0.32 ![AuntAgatha,Charles]: (predicate2(sk0_3('AuntAgatha',sk0_0),hate,'Charles','AuntAgatha')|~spl0_6)),
% 0.15/0.32 inference(backward_demodulation,[status(thm)],[f68,f28])).
% 0.15/0.32 fof(f80,plain,(
% 0.15/0.32 ![AuntAgatha,Charles]: (predicate2(sk0_3('AuntAgatha','Charles'),hate,'Charles','AuntAgatha')|~spl0_6)),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f68,f79])).
% 0.15/0.32 fof(f108,plain,(
% 0.15/0.32 ![Butler,AuntAgatha]: (predicate2(sk0_2,kill,'Butler','AuntAgatha')|~spl0_5)),
% 0.15/0.32 inference(backward_demodulation,[status(thm)],[f65,f10])).
% 0.15/0.32 fof(f109,plain,(
% 0.15/0.32 $false|~spl0_5),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f108,f59])).
% 0.15/0.32 fof(f110,plain,(
% 0.15/0.32 ~spl0_5),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f109])).
% 0.15/0.32 fof(f119,plain,(
% 0.15/0.32 spl0_13 <=> 'AuntAgatha'='Butler'),
% 0.15/0.32 introduced(split_symbol_definition)).
% 0.15/0.32 fof(f120,plain,(
% 0.15/0.32 ![AuntAgatha,Butler]: ('AuntAgatha'='Butler'|~spl0_13)),
% 0.15/0.32 inference(component_clause,[status(thm)],[f119])).
% 0.15/0.32 fof(f126,plain,(
% 0.15/0.32 $false|~spl0_13),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f120,f21])).
% 0.15/0.32 fof(f127,plain,(
% 0.15/0.32 ~spl0_13),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f126])).
% 0.15/0.32 fof(f128,plain,(
% 0.15/0.32 ![AuntAgatha]: (predicate2(sk0_2,kill,'AuntAgatha','AuntAgatha')|~spl0_4)),
% 0.15/0.32 inference(forward_demodulation,[status(thm)],[f62,f10])).
% 0.15/0.32 fof(f129,plain,(
% 0.15/0.32 $false|~spl0_4),
% 0.15/0.32 inference(forward_subsumption_resolution,[status(thm)],[f128,f23])).
% 0.15/0.32 fof(f130,plain,(
% 0.15/0.32 ~spl0_4),
% 0.15/0.32 inference(contradiction_clause,[status(thm)],[f129])).
% 0.15/0.32 fof(f135,plain,(
% 0.15/0.32 ![X0,AuntAgatha]: (~predicate2(X0,hate,'AuntAgatha','AuntAgatha')|~spl0_6)),
% 0.15/0.32 inference(resolution,[status(thm)],[f14,f80])).
% 0.15/0.32 fof(f136,plain,(
% 0.15/0.32 ![AuntAgatha,Butler]: ('AuntAgatha'='Butler'|~spl0_6)),
% 0.15/0.32 inference(resolution,[status(thm)],[f135,f16])).
% 0.16/0.54 fof(f137,plain,(
% 0.16/0.54 spl0_13|~spl0_6),
% 0.16/0.54 inference(split_clause,[status(thm)],[f136,f119,f67])).
% 0.16/0.54 fof(f138,plain,(
% 0.16/0.54 $false),
% 0.16/0.54 inference(sat_refutation,[status(thm)],[f71,f110,f127,f130,f137])).
% 0.16/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.54 % Elapsed time: 0.018705 seconds
% 0.16/0.54 % CPU time: 0.013288 seconds
% 0.16/0.54 % Memory used: 2.916 MB
%------------------------------------------------------------------------------