%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PUZ001+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:00:12 PM UTC 2026
% Result : Theorem 0.17s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ001+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n020.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 03:45:02 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.47 % Drodi V4.1.1
% 0.17/0.50 % Refutation found
% 0.17/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.50 fof(f1,axiom,(
% 0.17/0.50 (? [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] :( $true=> (? [B1] : predicate2(B1,hate,Z,A1) )) )))& 'AuntAgatha' != 'Butler' ) )),
% 0.17/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f2,conjecture,(
% 0.17/0.50 (? [A] : predicate2(A,kill,'AuntAgatha','AuntAgatha') )),
% 0.17/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.50 fof(f3,negated_conjecture,(
% 0.17/0.50 ~((? [A] : predicate2(A,kill,'AuntAgatha','AuntAgatha') ))),
% 0.17/0.50 inference(negated_conjecture,[status(cth)],[f2])).
% 0.17/0.50 fof(f4,plain,(
% 0.17/0.50 ?[A,B,C]: ((((((((((((($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]: ($true&(![B1]: ~predicate2(B1,hate,Z,A1)))))))&~'AuntAgatha'='Butler')),
% 0.17/0.50 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.17/0.50 fof(f5,plain,(
% 0.17/0.50 ((((((((((?[A]: ((?[B]: (($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|($true&(![Z]: ?[A1]: ![B1]: ~predicate2(B1,hate,Z,A1)))))&~'AuntAgatha'='Butler'),
% 0.17/0.50 inference(miniscoping,[status(thm)],[f4])).
% 0.17/0.50 fof(f6,plain,(
% 0.17/0.50 (((((((((((($true&predicate1(sK1_skl,live,sK0_skl))&modifier_pp(sK1_skl,in,'DreadburyMansion'))&predicate2(sK2_skl,kill,sK0_skl,'AuntAgatha'))&(![D]: ((![E]: (($false|~predicate1(E,live,D))|~modifier_pp(E,in,'DreadburyMansion')))|((D='AuntAgatha'|D='Butler')|D='Charles'))))&($false|(![F,G]: (($false|(![H]: ~predicate2(H,kill,F,G)))|predicate2(sK3_skl(G,F),hate,F,G)))))&($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]: (($false|R='Butler')|predicate2(sK4_skl(R),hate,'AuntAgatha',R))))&(![T]: (($false|(property2(sK5_skl(T),rich,comp_than,'AuntAgatha')&T=sK5_skl(T)))|predicate2(sK6_skl(T),hate,'Butler',T))))&(![W]: (($false|(![X]: ~predicate2(X,hate,'AuntAgatha',W)))|predicate2(sK7_skl(W),hate,'Butler',W))))&($false|($true&(![Z]: ![B1]: ~predicate2(B1,hate,Z,sK8_skl(Z))))))&~'AuntAgatha'='Butler'),
% 0.17/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl),skolemize(I,sK3_skl(G,F)),skolemize(S,sK4_skl(R)),skolemize(U,sK5_skl(T)),skolemize(V,sK6_skl(T)),skolemize(Y,sK7_skl(W)),skolemize(A1,sK8_skl(Z))],[f5])).
% 0.17/0.50 fof(f7,plain,(
% 0.17/0.50 ((((((((((?[A]: ((?[B]: (predicate1(sK1_skl,live,sK0_skl)&modifier_pp(sK1_skl,in,'DreadburyMansion')))&(?[C]: predicate2(sK2_skl,kill,sK0_skl,'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(sK3_skl(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(sK4_skl(R),hate,'AuntAgatha',R)))))&(![T]: ((?[U]: (property2(sK5_skl(T),rich,comp_than,'AuntAgatha')&T=sK5_skl(T)))|(?[V]: predicate2(sK6_skl(T),hate,'Butler',T)))))&(![W]: ((![X]: ~predicate2(X,hate,'AuntAgatha',W))|(?[Y]: predicate2(sK7_skl(W),hate,'Butler',W)))))&(![Z]: ?[A1]: ![B1]: ~predicate2(B1,hate,Z,sK8_skl(Z))))&~'AuntAgatha'='Butler'),
% 0.17/0.50 inference(true_and_false_simplification,[status(thm)],[f6])).
% 0.17/0.50 fof(f8,plain,(
% 0.17/0.50 predicate1(sK1_skl,live,sK0_skl)),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.50 fof(f9,plain,(
% 0.17/0.50 ![DreadburyMansion]: (modifier_pp(sK1_skl,in,'DreadburyMansion'))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.50 fof(f10,plain,(
% 0.17/0.50 ![AuntAgatha]: (predicate2(sK2_skl,kill,sK0_skl,'AuntAgatha'))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.50 fof(f11,plain,(
% 0.17/0.50 ![X0,X1,DreadburyMansion,AuntAgatha,Butler,Charles]: (~predicate1(X0,live,X1)|~modifier_pp(X0,in,'DreadburyMansion')|X1='AuntAgatha'|X1='Butler'|X1='Charles')),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.50 fof(f12,plain,(
% 0.17/0.50 ![X0,X1,X2]: (~predicate2(X0,kill,X1,X2)|predicate2(sK3_skl(X2,X1),hate,X1,X2))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.50 fof(f13,plain,(
% 0.17/0.50 ![X0,X1,X2,X3]: (~predicate2(X0,kill,X1,X2)|~property2(X3,rich,comp_than,X2)|~X1=X3)),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.50 fof(f14,plain,(
% 0.17/0.50 ![X0,AuntAgatha,X1,X2,Charles]: (~predicate2(X0,hate,'AuntAgatha',X1)|~predicate2(X2,hate,'Charles',X1))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.50 fof(f16,plain,(
% 0.17/0.50 ![X0,Butler,AuntAgatha]: (X0='Butler'|predicate2(sK4_skl(X0),hate,'AuntAgatha',X0))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.50 fof(f17,plain,(
% 0.17/0.50 ![X0,AuntAgatha,Butler]: (property2(sK5_skl(X0),rich,comp_than,'AuntAgatha')|predicate2(sK6_skl(X0),hate,'Butler',X0))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.50 fof(f18,plain,(
% 0.17/0.50 ![X0,Butler]: (X0=sK5_skl(X0)|predicate2(sK6_skl(X0),hate,'Butler',X0))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.50 fof(f19,plain,(
% 0.17/0.50 ![X0,AuntAgatha,X1,Butler]: (~predicate2(X0,hate,'AuntAgatha',X1)|predicate2(sK7_skl(X1),hate,'Butler',X1))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.50 fof(f20,plain,(
% 0.17/0.50 ![X0,X1]: (~predicate2(X0,hate,X1,sK8_skl(X1)))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.50 fof(f21,plain,(
% 0.17/0.50 ![AuntAgatha,Butler]: (~'AuntAgatha'='Butler')),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.17/0.50 fof(f22,plain,(
% 0.17/0.50 (![A]: ~predicate2(A,kill,'AuntAgatha','AuntAgatha'))),
% 0.17/0.50 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.17/0.50 fof(f23,plain,(
% 0.17/0.50 ![X0,AuntAgatha]: (~predicate2(X0,kill,'AuntAgatha','AuntAgatha'))),
% 0.17/0.50 inference(cnf_transformation,[status(thm)],[f22])).
% 0.17/0.50 fof(f24,plain,(
% 0.17/0.50 ![X0,X1,X2]: (~predicate2(X0,kill,X1,X2)|~property2(X1,rich,comp_than,X2))),
% 0.17/0.50 inference(destructive_equality_resolution,[status(thm)],[f13])).
% 0.17/0.50 fof(f25,plain,(
% 0.17/0.50 ![X0,AuntAgatha,Butler,Charles]: (~predicate1(sK1_skl,live,X0)|X0='AuntAgatha'|X0='Butler'|X0='Charles')),
% 0.17/0.50 inference(resolution,[status(thm)],[f11,f9])).
% 0.17/0.50 fof(f26,plain,(
% 0.17/0.50 ![AuntAgatha]: (predicate2(sK3_skl('AuntAgatha',sK0_skl),hate,sK0_skl,'AuntAgatha'))),
% 0.17/0.50 inference(resolution,[status(thm)],[f12,f10])).
% 0.17/0.50 fof(f30,plain,(
% 0.17/0.50 ![X0,Butler,X1,AuntAgatha]: (predicate2(sK6_skl(X0),hate,'Butler',X0)|~predicate2(X1,kill,sK5_skl(X0),'AuntAgatha'))),
% 0.17/0.50 inference(resolution,[status(thm)],[f17,f24])).
% 0.17/0.50 fof(f32,plain,(
% 0.17/0.50 ![Butler]: (sK8_skl('Butler')=sK5_skl(sK8_skl('Butler')))),
% 0.17/0.50 inference(resolution,[status(thm)],[f18,f20])).
% 0.17/0.50 fof(f33,plain,(
% 0.17/0.50 ![X0,Butler]: (predicate2(sK7_skl(X0),hate,'Butler',X0)|X0='Butler')),
% 0.17/0.50 inference(resolution,[status(thm)],[f19,f16])).
% 0.17/0.50 fof(f34,plain,(
% 0.17/0.50 ![AuntAgatha,Butler,Charles]: (sK0_skl='AuntAgatha'|sK0_skl='Butler'|sK0_skl='Charles')),
% 0.17/0.50 inference(resolution,[status(thm)],[f25,f8])).
% 0.17/0.50 fof(f37,plain,(
% 0.17/0.50 ![Butler,X0,AuntAgatha]: (predicate2(sK6_skl(sK8_skl('Butler')),hate,'Butler',sK8_skl('Butler'))|~predicate2(X0,kill,sK8_skl('Butler'),'AuntAgatha'))),
% 0.17/0.50 inference(paramodulation,[status(thm)],[f32,f30])).
% 0.17/0.50 fof(f38,plain,(
% 0.17/0.50 ![X0,Butler,AuntAgatha]: (~predicate2(X0,kill,sK8_skl('Butler'),'AuntAgatha'))),
% 0.17/0.50 inference(forward_subsumption_resolution,[status(thm)],[f37,f20])).
% 0.17/0.50 fof(f41,plain,(
% 0.17/0.50 ![Butler]: (sK8_skl('Butler')='Butler')),
% 0.17/0.50 inference(resolution,[status(thm)],[f33,f20])).
% 0.17/0.50 fof(f42,plain,(
% 0.17/0.50 ![X0,AuntAgatha,X1,X2,Butler]: (~predicate2(X0,hate,'AuntAgatha',X1)|~predicate2(X2,hate,sK0_skl,X1)|sK0_skl='AuntAgatha'|sK0_skl='Butler')),
% 0.17/0.50 inference(paramodulation,[status(thm)],[f34,f14])).
% 0.17/0.50 fof(f43,plain,(
% 0.17/0.50 ![X0,Butler,AuntAgatha]: (~predicate2(X0,kill,'Butler','AuntAgatha'))),
% 0.17/0.50 inference(backward_demodulation,[status(thm)],[f41,f38])).
% 0.17/0.50 fof(f55,plain,(
% 0.17/0.50 ![X0,X1,AuntAgatha,Butler]: (~predicate2(X0,hate,sK0_skl,X1)|sK0_skl='AuntAgatha'|sK0_skl='Butler'|X1='Butler')),
% 0.17/0.50 inference(resolution,[status(thm)],[f42,f16])).
% 0.17/0.50 fof(f56,plain,(
% 0.17/0.50 ![AuntAgatha,Butler]: (sK0_skl='AuntAgatha'|sK0_skl='Butler'|'AuntAgatha'='Butler')),
% 0.17/0.50 inference(resolution,[status(thm)],[f55,f26])).
% 0.17/0.50 fof(f57,plain,(
% 0.17/0.50 ![AuntAgatha,Butler]: (sK0_skl='AuntAgatha'|sK0_skl='Butler')),
% 0.17/0.50 inference(forward_subsumption_resolution,[status(thm)],[f56,f21])).
% 0.17/0.50 fof(f61,plain,(
% 0.17/0.50 ![X0,AuntAgatha]: (~predicate2(X0,kill,sK0_skl,'AuntAgatha')|sK0_skl='AuntAgatha')),
% 0.17/0.50 inference(paramodulation,[status(thm)],[f57,f43])).
% 0.17/0.50 fof(f80,plain,(
% 0.17/0.50 ![AuntAgatha]: (sK0_skl='AuntAgatha')),
% 0.17/0.50 inference(resolution,[status(thm)],[f61,f10])).
% 0.17/0.50 fof(f105,plain,(
% 0.17/0.50 predicate2(sK2_skl,kill,sK0_skl,sK0_skl)),
% 0.17/0.50 inference(backward_demodulation,[status(thm)],[f80,f10])).
% 0.17/0.50 fof(f108,plain,(
% 0.17/0.50 ![X0,AuntAgatha]: (~predicate2(X0,kill,'AuntAgatha',sK0_skl))),
% 0.17/0.50 inference(backward_demodulation,[status(thm)],[f80,f23])).
% 0.17/0.50 fof(f110,plain,(
% 0.17/0.50 ![X0]: (~predicate2(X0,kill,sK0_skl,sK0_skl))),
% 0.17/0.50 inference(forward_demodulation,[status(thm)],[f80,f108])).
% 0.17/0.50 fof(f125,plain,(
% 0.17/0.50 $false),
% 0.17/0.50 inference(backward_subsumption_resolution,[status(thm)],[f105,f110])).
% 0.17/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.58 % Elapsed time: 0.115265 seconds
% 0.24/0.58 % CPU time: 0.110540 seconds
% 0.24/0.58 % Total memory used: 5.129 MB
% 0.24/0.58 % Net memory used: 5.113 MB
%------------------------------------------------------------------------------