%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PUZ128+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 : n005.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 02:01:15 PM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ128+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 03:52:34 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40 fof(f1,axiom,(
% 0.10/0.40 (? [A,B,C,D,E] :( parent(A)& relation(A,of,'Oedipus')& 'Iokaste' = A& parent(B)& relation(B,of,'Polyneikes')& 'Iokaste' = B& parent(C)& relation(C,of,'Polyneikes')& 'Oedipus' = C& parent(D)& relation(D,of,'Thersandros')& 'Polyneikes' = D& patricide(E)& 'Oedipus' = E& ~ (? [F] :( patricide(F)& 'Thersandros' = F ) )) )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f2,conjecture,(
% 0.10/0.40 (? [A,B,C,D] :( parent(A)& patricide(B)& parent(C)& $true& ~ (? [E] :( patricide(E)& D = E ))& relation(C,of,D)& B = C& relation(A,of,B)& 'Iokaste' = A ) )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f3,negated_conjecture,(
% 0.10/0.40 ~((? [A,B,C,D] :( parent(A)& patricide(B)& parent(C)& $true& ~ (? [E] :( patricide(E)& D = E ))& relation(C,of,D)& B = C& relation(A,of,B)& 'Iokaste' = A ) ))),
% 0.10/0.40 inference(negated_conjecture,[status(cth)],[f2])).
% 0.10/0.40 fof(f4,plain,(
% 0.10/0.40 ?[A,B,C,D,E]: ((((((((((((((parent(A)&relation(A,of,'Oedipus'))&'Iokaste'=A)&parent(B))&relation(B,of,'Polyneikes'))&'Iokaste'=B)&parent(C))&relation(C,of,'Polyneikes'))&'Oedipus'=C)&parent(D))&relation(D,of,'Thersandros'))&'Polyneikes'=D)&patricide(E))&'Oedipus'=E)&(![F]: (~patricide(F)|~'Thersandros'=F)))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.10/0.40 fof(f5,plain,(
% 0.10/0.40 (?[E]: (((?[D]: ((((?[C]: ((((?[B]: ((((?[A]: ((parent(A)&relation(A,of,'Oedipus'))&'Iokaste'=A))&parent(B))&relation(B,of,'Polyneikes'))&'Iokaste'=B))&parent(C))&relation(C,of,'Polyneikes'))&'Oedipus'=C))&parent(D))&relation(D,of,'Thersandros'))&'Polyneikes'=D))&patricide(E))&'Oedipus'=E))&(![F]: (~patricide(F)|~'Thersandros'=F))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f4])).
% 0.10/0.40 fof(f6,plain,(
% 0.10/0.40 (((((((((((((parent(sK4_skl)&relation(sK4_skl,of,'Oedipus'))&'Iokaste'=sK4_skl)&parent(sK3_skl))&relation(sK3_skl,of,'Polyneikes'))&'Iokaste'=sK3_skl)&parent(sK2_skl))&relation(sK2_skl,of,'Polyneikes'))&'Oedipus'=sK2_skl)&parent(sK1_skl))&relation(sK1_skl,of,'Thersandros'))&'Polyneikes'=sK1_skl)&patricide(sK0_skl))&'Oedipus'=sK0_skl)&(![F]: (~patricide(F)|~'Thersandros'=F))),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(E,sK0_skl),skolemize(D,sK1_skl),skolemize(C,sK2_skl),skolemize(B,sK3_skl),skolemize(A,sK4_skl)],[f5])).
% 0.10/0.40 fof(f7,plain,(
% 0.10/0.40 parent(sK4_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f8,plain,(
% 0.10/0.40 ![Oedipus]: (relation(sK4_skl,of,'Oedipus'))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f9,plain,(
% 0.10/0.40 ![Iokaste]: ('Iokaste'=sK4_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f11,plain,(
% 0.10/0.40 ![Polyneikes]: (relation(sK3_skl,of,'Polyneikes'))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f12,plain,(
% 0.10/0.40 ![Iokaste]: ('Iokaste'=sK3_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f13,plain,(
% 0.10/0.40 parent(sK2_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f14,plain,(
% 0.10/0.40 ![Polyneikes]: (relation(sK2_skl,of,'Polyneikes'))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f15,plain,(
% 0.10/0.40 ![Oedipus]: ('Oedipus'=sK2_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f16,plain,(
% 0.10/0.40 parent(sK1_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f17,plain,(
% 0.10/0.40 ![Thersandros]: (relation(sK1_skl,of,'Thersandros'))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f18,plain,(
% 0.10/0.40 ![Polyneikes]: ('Polyneikes'=sK1_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f19,plain,(
% 0.10/0.40 patricide(sK0_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f20,plain,(
% 0.10/0.40 ![Oedipus]: ('Oedipus'=sK0_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f21,plain,(
% 0.10/0.40 ![X0,Thersandros]: (~patricide(X0)|~'Thersandros'=X0)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.40 fof(f22,plain,(
% 0.10/0.40 (![A,B,C,D]: ((((((((~parent(A)|~patricide(B))|~parent(C))|$false)|(?[E]: (patricide(E)&D=E)))|~relation(C,of,D))|~B=C)|~relation(A,of,B))|~'Iokaste'=A))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.10/0.40 fof(f23,plain,(
% 0.10/0.40 ![A]: ((![B]: ((![C]: ((![D]: (((((~parent(A)|~patricide(B))|~parent(C))|$false)|(?[E]: (patricide(E)&D=E)))|~relation(C,of,D)))|~B=C))|~relation(A,of,B)))|~'Iokaste'=A)),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f22])).
% 0.10/0.40 fof(f24,plain,(
% 0.10/0.40 ![A]: ((![B]: ((![C]: ((![D]: (((((~parent(A)|~patricide(B))|~parent(C))|$false)|(patricide(sK5_skl(D,C,B,A))&D=sK5_skl(D,C,B,A)))|~relation(C,of,D)))|~B=C))|~relation(A,of,B)))|~'Iokaste'=A)),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(E,sK5_skl(D,C,B,A))],[f23])).
% 0.10/0.40 fof(f25,plain,(
% 0.10/0.40 ![A]: ((![B]: ((![C]: ((![D]: ((((~parent(A)|~patricide(B))|~parent(C))|(?[E]: (patricide(sK5_skl(D,C,B,A))&D=sK5_skl(D,C,B,A))))|~relation(C,of,D)))|~B=C))|~relation(A,of,B)))|~'Iokaste'=A)),
% 0.10/0.40 inference(true_and_false_simplification,[status(thm)],[f24])).
% 0.10/0.40 fof(f26,plain,(
% 0.10/0.40 ![X0,X1,X2,X3,Iokaste]: (~parent(X0)|~patricide(X1)|~parent(X2)|patricide(sK5_skl(X3,X2,X1,X0))|~relation(X2,of,X3)|~X1=X2|~relation(X0,of,X1)|~'Iokaste'=X0)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.10/0.40 fof(f27,plain,(
% 0.10/0.40 ![X0,X1,X2,X3,Iokaste]: (~parent(X0)|~patricide(X1)|~parent(X2)|X3=sK5_skl(X3,X2,X1,X0)|~relation(X2,of,X3)|~X1=X2|~relation(X0,of,X1)|~'Iokaste'=X0)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f25])).
% 0.10/0.40 fof(f28,plain,(
% 0.10/0.40 ![Thersandros]: (~patricide('Thersandros'))),
% 0.10/0.40 inference(destructive_equality_resolution,[status(thm)],[f21])).
% 0.10/0.40 fof(f29,plain,(
% 0.10/0.40 ![Iokaste,X0,X1]: (~parent('Iokaste')|~patricide(X0)|~parent(X0)|patricide(sK5_skl(X1,X0,X0,'Iokaste'))|~relation(X0,of,X1)|~relation('Iokaste',of,X0))),
% 0.10/0.40 inference(destructive_equality_resolution,[status(thm)],[f26])).
% 0.10/0.40 fof(f30,plain,(
% 0.10/0.40 ![Iokaste,X0,X1]: (~parent('Iokaste')|~patricide(X0)|~parent(X0)|X1=sK5_skl(X1,X0,X0,'Iokaste')|~relation(X0,of,X1)|~relation('Iokaste',of,X0))),
% 0.10/0.40 inference(destructive_equality_resolution,[status(thm)],[f27])).
% 0.10/0.40 fof(f31,plain,(
% 0.10/0.40 ![Iokaste]: (parent('Iokaste'))),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f9,f7])).
% 0.10/0.40 fof(f33,plain,(
% 0.10/0.40 ![Iokaste,Oedipus]: (relation('Iokaste',of,'Oedipus'))),
% 0.10/0.40 inference(forward_demodulation,[status(thm)],[f9,f8])).
% 0.10/0.40 fof(f34,plain,(
% 0.10/0.40 ![Iokaste,Oedipus,X0]: (~parent('Iokaste')|~patricide('Oedipus')|~parent('Oedipus')|patricide(sK5_skl(X0,'Oedipus','Oedipus','Iokaste'))|~relation('Oedipus',of,X0))),
% 0.10/0.40 inference(resolution,[status(thm)],[f33,f29])).
% 0.10/0.40 fof(f35,plain,(
% 0.10/0.40 ![Iokaste,Oedipus,X0]: (~parent('Iokaste')|~patricide('Oedipus')|~parent('Oedipus')|X0=sK5_skl(X0,'Oedipus','Oedipus','Iokaste')|~relation('Oedipus',of,X0))),
% 0.10/0.40 inference(resolution,[status(thm)],[f33,f30])).
% 0.10/0.40 fof(f36,plain,(
% 0.10/0.40 ![Oedipus]: (parent('Oedipus'))),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f15,f13])).
% 0.10/0.40 fof(f37,plain,(
% 0.10/0.40 ![Polyneikes]: (parent('Polyneikes'))),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f18,f16])).
% 0.10/0.40 fof(f38,plain,(
% 0.10/0.40 ![Oedipus]: (patricide('Oedipus'))),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f20,f19])).
% 0.10/0.40 fof(f39,plain,(
% 0.10/0.40 ![Oedipus,X0,Iokaste]: (~patricide('Oedipus')|~parent('Oedipus')|patricide(sK5_skl(X0,'Oedipus','Oedipus','Iokaste'))|~relation('Oedipus',of,X0))),
% 0.10/0.40 inference(backward_subsumption_resolution,[status(thm)],[f34,f31])).
% 0.10/0.40 fof(f40,plain,(
% 0.10/0.40 ![Oedipus,X0,Iokaste]: (~patricide('Oedipus')|~parent('Oedipus')|X0=sK5_skl(X0,'Oedipus','Oedipus','Iokaste')|~relation('Oedipus',of,X0))),
% 0.10/0.40 inference(backward_subsumption_resolution,[status(thm)],[f35,f31])).
% 0.10/0.40 fof(f41,plain,(
% 0.10/0.40 ![X0,X1,Iokaste]: (~patricide(X0)|~parent(X0)|patricide(sK5_skl(X1,X0,X0,'Iokaste'))|~relation(X0,of,X1)|~relation('Iokaste',of,X0))),
% 0.10/0.40 inference(backward_subsumption_resolution,[status(thm)],[f29,f31])).
% 0.10/0.40 fof(f42,plain,(
% 0.10/0.40 ![X0,X1,Iokaste]: (~patricide(X0)|~parent(X0)|X1=sK5_skl(X1,X0,X0,'Iokaste')|~relation(X0,of,X1)|~relation('Iokaste',of,X0))),
% 0.10/0.40 inference(backward_subsumption_resolution,[status(thm)],[f30,f31])).
% 0.10/0.40 fof(f45,plain,(
% 0.10/0.40 ![Oedipus,X0,Iokaste]: (~patricide('Oedipus')|patricide(sK5_skl(X0,'Oedipus','Oedipus','Iokaste'))|~relation('Oedipus',of,X0))),
% 0.10/0.40 inference(backward_subsumption_resolution,[status(thm)],[f39,f36])).
% 0.10/0.41 fof(f46,plain,(
% 0.10/0.41 ![Oedipus,X0,Iokaste]: (~patricide('Oedipus')|X0=sK5_skl(X0,'Oedipus','Oedipus','Iokaste')|~relation('Oedipus',of,X0))),
% 0.10/0.41 inference(backward_subsumption_resolution,[status(thm)],[f40,f36])).
% 0.10/0.41 fof(f47,plain,(
% 0.10/0.41 ![Iokaste,Polyneikes]: (relation('Iokaste',of,'Polyneikes'))),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f12,f11])).
% 0.10/0.41 fof(f48,plain,(
% 0.10/0.41 ![Polyneikes,X0,Iokaste]: (~patricide('Polyneikes')|~parent('Polyneikes')|X0=sK5_skl(X0,'Polyneikes','Polyneikes','Iokaste')|~relation('Polyneikes',of,X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f47,f42])).
% 0.10/0.41 fof(f49,plain,(
% 0.10/0.41 ![Polyneikes,X0,Iokaste]: (~patricide('Polyneikes')|~parent('Polyneikes')|patricide(sK5_skl(X0,'Polyneikes','Polyneikes','Iokaste'))|~relation('Polyneikes',of,X0))),
% 0.10/0.41 inference(resolution,[status(thm)],[f47,f41])).
% 0.10/0.41 fof(f50,plain,(
% 0.10/0.41 ![Polyneikes,X0,Iokaste]: (~patricide('Polyneikes')|X0=sK5_skl(X0,'Polyneikes','Polyneikes','Iokaste')|~relation('Polyneikes',of,X0))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f48,f37])).
% 0.10/0.41 fof(f51,plain,(
% 0.10/0.41 ![Polyneikes,X0,Iokaste]: (~patricide('Polyneikes')|patricide(sK5_skl(X0,'Polyneikes','Polyneikes','Iokaste'))|~relation('Polyneikes',of,X0))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f49,f37])).
% 0.10/0.41 fof(f52,plain,(
% 0.10/0.41 ![Oedipus,Polyneikes]: (relation('Oedipus',of,'Polyneikes'))),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f15,f14])).
% 0.10/0.41 fof(f53,plain,(
% 0.10/0.41 ![Polyneikes,Thersandros]: (relation('Polyneikes',of,'Thersandros'))),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f18,f17])).
% 0.10/0.41 fof(f54,plain,(
% 0.10/0.41 ![X0,Oedipus,Iokaste]: (X0=sK5_skl(X0,'Oedipus','Oedipus','Iokaste')|~relation('Oedipus',of,X0))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f46,f38])).
% 0.10/0.41 fof(f55,plain,(
% 0.10/0.41 ![Polyneikes,Oedipus,Iokaste]: ('Polyneikes'=sK5_skl('Polyneikes','Oedipus','Oedipus','Iokaste'))),
% 0.10/0.41 inference(resolution,[status(thm)],[f54,f52])).
% 0.10/0.41 fof(f56,plain,(
% 0.10/0.41 ![Polyneikes,Thersandros,Iokaste]: (~patricide('Polyneikes')|'Thersandros'=sK5_skl('Thersandros','Polyneikes','Polyneikes','Iokaste'))),
% 0.10/0.41 inference(resolution,[status(thm)],[f50,f53])).
% 0.10/0.41 fof(f57,plain,(
% 0.10/0.41 ![X0,Oedipus,Iokaste]: (patricide(sK5_skl(X0,'Oedipus','Oedipus','Iokaste'))|~relation('Oedipus',of,X0))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f45,f38])).
% 0.10/0.41 fof(f58,plain,(
% 0.10/0.41 ![Polyneikes,Oedipus,Iokaste]: (patricide(sK5_skl('Polyneikes','Oedipus','Oedipus','Iokaste')))),
% 0.10/0.41 inference(resolution,[status(thm)],[f57,f52])).
% 0.10/0.41 fof(f59,plain,(
% 0.10/0.41 ![Polyneikes]: (patricide('Polyneikes'))),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f55,f58])).
% 0.10/0.41 fof(f61,plain,(
% 0.10/0.41 ![Thersandros,Polyneikes,Iokaste]: ('Thersandros'=sK5_skl('Thersandros','Polyneikes','Polyneikes','Iokaste'))),
% 0.10/0.41 inference(backward_subsumption_resolution,[status(thm)],[f56,f59])).
% 0.10/0.41 fof(f63,plain,(
% 0.10/0.41 ![X0,Polyneikes,Iokaste]: (patricide(sK5_skl(X0,'Polyneikes','Polyneikes','Iokaste'))|~relation('Polyneikes',of,X0))),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f51,f59])).
% 0.10/0.41 fof(f64,plain,(
% 0.10/0.41 ![Thersandros,Polyneikes,Iokaste]: (patricide(sK5_skl('Thersandros','Polyneikes','Polyneikes','Iokaste')))),
% 0.10/0.41 inference(resolution,[status(thm)],[f63,f53])).
% 0.10/0.41 fof(f65,plain,(
% 0.10/0.41 ![Thersandros]: (patricide('Thersandros'))),
% 0.10/0.41 inference(forward_demodulation,[status(thm)],[f61,f64])).
% 0.10/0.41 fof(f66,plain,(
% 0.10/0.41 $false),
% 0.10/0.41 inference(forward_subsumption_resolution,[status(thm)],[f65,f28])).
% 0.10/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.44 % Elapsed time: 0.057735 seconds
% 0.10/0.44 % CPU time: 0.133479 seconds
% 0.10/0.44 % Total memory used: 41.940 MB
% 0.10/0.44 % Net memory used: 41.672 MB
%------------------------------------------------------------------------------