%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU229+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 02:22:04 PM UTC 2026
% Result : Theorem 43.09s 6.06s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU229+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n018.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 06:02:58 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 43.09/6.06 % Refutation found
% 43.09/6.06 % SZS status Theorem for theBenchmark: Theorem is valid
% 43.09/6.06 % SZS output start CNFRefutation for theBenchmark
% 43.09/6.06 fof(f5,axiom,(
% 43.09/6.06 (! [A,B,C,D] :( D = unordered_triple(A,B,C)<=> (! [E] :( in(E,D)<=> ~ ( E != A& E != B& E != C ) ) )) )),
% 43.09/6.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.09/6.06 fof(f6,axiom,(
% 43.09/6.06 (! [A] :(? [B] : element(B,A) ))),
% 43.09/6.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.09/6.06 fof(f21,axiom,(
% 43.09/6.06 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 43.09/6.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.09/6.06 fof(f22,conjecture,(
% 43.09/6.06 (! [A,B,C] :~ ( in(A,B)& in(B,C)& in(C,A) ) )),
% 43.09/6.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.09/6.06 fof(f23,negated_conjecture,(
% 43.09/6.06 ~((! [A,B,C] :~ ( in(A,B)& in(B,C)& in(C,A) ) ))),
% 43.09/6.06 inference(negated_conjecture,[status(cth)],[f22])).
% 43.09/6.06 fof(f25,axiom,(
% 43.09/6.06 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 43.09/6.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.09/6.06 fof(f26,axiom,(
% 43.09/6.06 (! [A,B] :~ ( in(A,B)& (! [C] :~ ( in(C,B)& (! [D] :~ ( in(D,B)& in(D,C) ) )) )) )),
% 43.09/6.06 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 43.09/6.06 fof(f38,plain,(
% 43.09/6.06 ![A,B,C,D]: (D=unordered_triple(A,B,C)<=>(![E]: (in(E,D)<=>((E=A|E=B)|E=C))))),
% 43.09/6.06 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 43.09/6.06 fof(f39,definition,(
% 43.09/6.06 ![A,B,C,E]: (sP0_prd(E,C,B,A)<=>((E=A|E=B)|E=C))),
% 43.09/6.06 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 43.09/6.06 fof(f40,plain,(
% 43.09/6.06 ![A,B,C,D]: (D=unordered_triple(A,B,C)<=>(![E]: (in(E,D)<=>sP0_prd(E,C,B,A))))),
% 43.09/6.06 inference(formula_renaming,[status(thm)],[f38,f39])).
% 43.09/6.06 fof(f41,plain,(
% 43.09/6.06 ![A,B,C,D]: ((~D=unordered_triple(A,B,C)|(![E]: ((~in(E,D)|sP0_prd(E,C,B,A))&(in(E,D)|~sP0_prd(E,C,B,A)))))&(D=unordered_triple(A,B,C)|(?[E]: ((~in(E,D)|~sP0_prd(E,C,B,A))&(in(E,D)|sP0_prd(E,C,B,A))))))),
% 43.09/6.06 inference(NNF_transformation,[status(thm)],[f40])).
% 43.09/6.06 fof(f42,plain,(
% 43.09/6.06 (![A,B,C,D]: (~D=unordered_triple(A,B,C)|((![E]: (~in(E,D)|sP0_prd(E,C,B,A)))&(![E]: (in(E,D)|~sP0_prd(E,C,B,A))))))&(![A,B,C,D]: (D=unordered_triple(A,B,C)|(?[E]: ((~in(E,D)|~sP0_prd(E,C,B,A))&(in(E,D)|sP0_prd(E,C,B,A))))))),
% 43.09/6.06 inference(miniscoping,[status(thm)],[f41])).
% 43.09/6.06 fof(f43,plain,(
% 43.09/6.06 (![A,B,C,D]: (~D=unordered_triple(A,B,C)|((![E]: (~in(E,D)|sP0_prd(E,C,B,A)))&(![E]: (in(E,D)|~sP0_prd(E,C,B,A))))))&(![A,B,C,D]: (D=unordered_triple(A,B,C)|((~in(sK0_skl(D,C,B,A),D)|~sP0_prd(sK0_skl(D,C,B,A),C,B,A))&(in(sK0_skl(D,C,B,A),D)|sP0_prd(sK0_skl(D,C,B,A),C,B,A)))))),
% 43.09/6.06 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(E,sK0_skl(D,C,B,A))],[f42])).
% 43.09/6.06 fof(f44,plain,(
% 43.09/6.06 ![X0,X1,X2,X3,X4]: (~X0=unordered_triple(X1,X2,X3)|~in(X4,X0)|sP0_prd(X4,X3,X2,X1))),
% 43.09/6.06 inference(cnf_transformation,[status(thm)],[f43])).
% 43.09/6.06 fof(f45,plain,(
% 43.09/6.06 ![X0,X1,X2,X3,X4]: (~X0=unordered_triple(X1,X2,X3)|in(X4,X0)|~sP0_prd(X4,X3,X2,X1))),
% 43.09/6.06 inference(cnf_transformation,[status(thm)],[f43])).
% 43.09/6.06 fof(f48,plain,(
% 43.09/6.06 ![A]: element(sK1_skl(A),A)),
% 43.09/6.06 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(B,sK1_skl(A))],[f6])).
% 43.09/6.06 fof(f49,plain,(
% 43.09/6.06 ![X0]: (element(sK1_skl(X0),X0))),
% 43.09/6.06 inference(cnf_transformation,[status(thm)],[f48])).
% 43.09/6.06 fof(f90,plain,(
% 43.09/6.06 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 43.09/6.06 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 43.09/6.06 fof(f91,plain,(
% 43.09/6.06 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 43.09/6.06 inference(cnf_transformation,[status(thm)],[f90])).
% 43.09/6.06 fof(f92,plain,(
% 43.09/6.06 (?[A,B,C]: ((in(A,B)&in(B,C))&in(C,A)))),
% 43.09/6.06 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 43.09/6.06 fof(f93,plain,(
% 43.09/6.06 ?[A,C]: ((?[B]: (in(A,B)&in(B,C)))&in(C,A))),
% 43.09/6.06 inference(miniscoping,[status(thm)],[f92])).
% 43.09/6.06 fof(f94,plain,(
% 43.09/6.06 ((in(sK12_skl,sK14_skl)&in(sK14_skl,sK13_skl))&in(sK13_skl,sK12_skl))),
% 43.09/6.06 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl,sK14_skl]),skolemize(A,sK12_skl),skolemize(C,sK13_skl),skolemize(B,sK14_skl)],[f93])).
% 43.09/6.06 fof(f95,plain,(
% 43.09/6.06 in(sK12_skl,sK14_skl)),
% 43.09/6.06 inference(cnf_transformation,[status(thm)],[f94])).
% 43.09/6.06 fof(f96,plain,(
% 43.09/6.06 in(sK14_skl,sK13_skl)),
% 43.09/6.06 inference(cnf_transformation,[status(thm)],[f94])).
% 43.09/6.06 fof(f97,plain,(
% 43.09/6.06 in(sK13_skl,sK12_skl)),
% 43.09/6.06 inference(cnf_transformation,[status(thm)],[f94])).
% 43.09/6.06 fof(f100,plain,(
% 43.09/6.06 ![A,B]: (~in(A,B)|~empty(B))),
% 43.09/6.06 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 43.09/6.06 fof(f101,plain,(
% 43.09/6.06 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 43.09/6.06 inference(miniscoping,[status(thm)],[f100])).
% 43.09/6.06 fof(f102,plain,(
% 43.09/6.06 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 43.09/6.06 inference(cnf_transformation,[status(thm)],[f101])).
% 43.09/6.06 fof(f103,plain,(
% 43.09/6.06 ![A,B]: (~in(A,B)|(?[C]: (in(C,B)&(![D]: (~in(D,B)|~in(D,C))))))),
% 43.09/6.06 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 43.09/6.06 fof(f104,plain,(
% 43.09/6.06 ![B]: ((![A]: ~in(A,B))|(?[C]: (in(C,B)&(![D]: (~in(D,B)|~in(D,C))))))),
% 43.09/6.06 inference(miniscoping,[status(thm)],[f103])).
% 43.09/6.06 fof(f105,plain,(
% 43.09/6.06 ![B]: ((![A]: ~in(A,B))|(in(sK15_skl(B),B)&(![D]: (~in(D,B)|~in(D,sK15_skl(B))))))),
% 43.09/6.06 inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(C,sK15_skl(B))],[f104])).
% 43.09/6.06 fof(f106,plain,(
% 43.09/6.06 ![X0,X1]: (~in(X0,X1)|in(sK15_skl(X1),X1))),
% 43.09/6.06 inference(cnf_transformation,[status(thm)],[f105])).
% 43.09/6.06 fof(f107,plain,(
% 43.09/6.06 ![X0,X1,X2]: (~in(X0,X1)|~in(X2,X1)|~in(X2,sK15_skl(X1)))),
% 43.09/6.06 inference(cnf_transformation,[status(thm)],[f105])).
% 43.09/6.06 fof(f111,plain,(
% 43.09/6.06 ![A,B,C,E]: ((~sP0_prd(E,C,B,A)|((E=A|E=B)|E=C))&(sP0_prd(E,C,B,A)|((~E=A&~E=B)&~E=C)))),
% 43.09/6.06 inference(NNF_transformation,[status(thm)],[f39])).
% 43.09/6.06 fof(f112,plain,(
% 43.09/6.06 (![A,B,C,E]: (~sP0_prd(E,C,B,A)|((E=A|E=B)|E=C)))&(![A,B,C,E]: (sP0_prd(E,C,B,A)|((~E=A&~E=B)&~E=C)))),
% 43.09/6.06 inference(miniscoping,[status(thm)],[f111])).
% 43.09/6.06 fof(f113,plain,(
% 43.09/6.06 ![X0,X1,X2,X3]: (~sP0_prd(X0,X1,X2,X3)|X0=X3|X0=X2|X0=X1)),
% 43.09/6.06 inference(cnf_transformation,[status(thm)],[f112])).
% 43.09/6.06 fof(f114,plain,(
% 43.09/6.06 ![X0,X1,X2,X3]: (sP0_prd(X0,X1,X2,X3)|~X0=X3)),
% 43.09/6.06 inference(cnf_transformation,[status(thm)],[f112])).
% 43.09/6.06 fof(f115,plain,(
% 43.09/6.06 ![X0,X1,X2,X3]: (sP0_prd(X0,X1,X2,X3)|~X0=X2)),
% 43.09/6.06 inference(cnf_transformation,[status(thm)],[f112])).
% 43.09/6.06 fof(f116,plain,(
% 43.09/6.06 ![X0,X1,X2,X3]: (sP0_prd(X0,X1,X2,X3)|~X0=X1)),
% 43.09/6.06 inference(cnf_transformation,[status(thm)],[f112])).
% 43.09/6.06 fof(f117,plain,(
% 43.09/6.06 ![X0,X1,X2,X3]: (~in(X0,unordered_triple(X1,X2,X3))|sP0_prd(X0,X3,X2,X1))),
% 43.09/6.06 inference(destructive_equality_resolution,[status(thm)],[f44])).
% 43.09/6.06 fof(f118,plain,(
% 43.09/6.06 ![X0,X1,X2,X3]: (in(X0,unordered_triple(X1,X2,X3))|~sP0_prd(X0,X3,X2,X1))),
% 43.09/6.06 inference(destructive_equality_resolution,[status(thm)],[f45])).
% 43.09/6.06 fof(f119,plain,(
% 43.09/6.06 ![X0,X1,X2]: (sP0_prd(X0,X1,X2,X0))),
% 43.09/6.06 inference(destructive_equality_resolution,[status(thm)],[f114])).
% 43.09/6.06 fof(f120,plain,(
% 43.09/6.06 ![X0,X1,X2]: (sP0_prd(X0,X1,X0,X2))),
% 43.09/6.06 inference(destructive_equality_resolution,[status(thm)],[f115])).
% 43.09/6.06 fof(f121,plain,(
% 43.09/6.06 ![X0,X1,X2]: (sP0_prd(X0,X0,X1,X2))),
% 43.09/6.06 inference(destructive_equality_resolution,[status(thm)],[f116])).
% 43.09/6.06 fof(f161,plain,(
% 43.09/6.06 ![X0,X1,X2]: (in(X0,unordered_triple(X0,X1,X2)))),
% 43.09/6.06 inference(resolution,[status(thm)],[f119,f118])).
% 43.09/6.06 fof(f162,plain,(
% 43.09/6.06 ![X0,X1,X2]: (in(X0,unordered_triple(X1,X0,X2)))),
% 43.09/6.06 inference(resolution,[status(thm)],[f120,f118])).
% 43.09/6.06 fof(f163,plain,(
% 43.09/6.06 ![X0,X1,X2]: (in(X0,unordered_triple(X1,X2,X0)))),
% 43.09/6.06 inference(resolution,[status(thm)],[f121,f118])).
% 43.09/6.06 fof(f174,plain,(
% 43.09/6.06 ![X0]: (empty(X0)|in(sK1_skl(X0),X0))),
% 43.09/6.06 inference(resolution,[status(thm)],[f91,f49])).
% 43.09/6.06 fof(f220,plain,(
% 43.09/6.06 ![X0,X1,X2]: (~empty(unordered_triple(X0,X1,X2)))),
% 43.09/6.06 inference(resolution,[status(thm)],[f161,f102])).
% 43.09/6.06 fof(f235,plain,(
% 43.09/6.06 ![X0,X1,X2]: (empty(unordered_triple(X0,X1,X2))|sP0_prd(sK1_skl(unordered_triple(X0,X1,X2)),X2,X1,X0))),
% 43.09/6.06 inference(resolution,[status(thm)],[f174,f117])).
% 43.09/6.06 fof(f236,plain,(
% 43.09/6.06 ![X0]: (empty(X0)|in(sK15_skl(X0),X0))),
% 43.09/6.06 inference(resolution,[status(thm)],[f174,f106])).
% 43.09/6.06 fof(f240,plain,(
% 43.09/6.06 ![X0,X1,X2]: (sP0_prd(sK1_skl(unordered_triple(X0,X1,X2)),X2,X1,X0))),
% 43.09/6.06 inference(forward_subsumption_resolution,[status(thm)],[f235,f220])).
% 43.09/6.06 fof(f242,plain,(
% 43.09/6.06 ![X0,X1,X2]: (empty(unordered_triple(X0,X1,X2))|sP0_prd(sK15_skl(unordered_triple(X0,X1,X2)),X2,X1,X0))),
% 43.09/6.06 inference(resolution,[status(thm)],[f236,f117])).
% 43.09/6.06 fof(f247,plain,(
% 43.09/6.06 ![X0,X1,X2]: (sP0_prd(sK15_skl(unordered_triple(X0,X1,X2)),X2,X1,X0))),
% 43.09/6.06 inference(forward_subsumption_resolution,[status(thm)],[f242,f220])).
% 43.09/6.06 fof(f285,plain,(
% 43.09/6.06 ![X0,X1,X2]: (in(sK1_skl(unordered_triple(X0,X1,X2)),unordered_triple(X0,X1,X2)))),
% 40.70/6.10 inference(resolution,[status(thm)],[f240,f118])).
% 40.70/6.10 fof(f286,plain,(
% 40.70/6.10 ![X0,X1,X2]: (sK15_skl(unordered_triple(X0,X1,X2))=X0|sK15_skl(unordered_triple(X0,X1,X2))=X1|sK15_skl(unordered_triple(X0,X1,X2))=X2)),
% 40.70/6.10 inference(resolution,[status(thm)],[f247,f113])).
% 40.70/6.10 fof(f602,plain,(
% 40.70/6.10 ![X0,X1,X2,X3,X4]: (~in(X0,unordered_triple(X1,X2,X3))|~in(X4,unordered_triple(X1,X2,X3))|~in(X4,X1)|sK15_skl(unordered_triple(X1,X2,X3))=X2|sK15_skl(unordered_triple(X1,X2,X3))=X3)),
% 40.70/6.10 inference(paramodulation,[status(thm)],[f286,f107])).
% 40.70/6.10 fof(f3307,plain,(
% 40.70/6.10 ![X0,X1,X2,X3]: (~in(X0,unordered_triple(X1,X2,X3))|~in(X3,X1)|sK15_skl(unordered_triple(X1,X2,X3))=X2|sK15_skl(unordered_triple(X1,X2,X3))=X3)),
% 40.70/6.10 inference(resolution,[status(thm)],[f602,f163])).
% 40.70/6.10 fof(f4069,plain,(
% 40.70/6.10 ![X0,X1,X2]: (~in(X0,X1)|sK15_skl(unordered_triple(X1,X2,X0))=X2|sK15_skl(unordered_triple(X1,X2,X0))=X0)),
% 40.70/6.10 inference(resolution,[status(thm)],[f3307,f285])).
% 40.70/6.10 fof(f4117,plain,(
% 40.70/6.10 ![X0]: (sK15_skl(unordered_triple(sK12_skl,X0,sK13_skl))=X0|sK15_skl(unordered_triple(sK12_skl,X0,sK13_skl))=sK13_skl)),
% 40.70/6.10 inference(resolution,[status(thm)],[f4069,f97])).
% 40.70/6.10 fof(f4219,plain,(
% 40.70/6.10 ![X0,X1,X2]: (~in(X0,unordered_triple(sK12_skl,X1,sK13_skl))|~in(X2,unordered_triple(sK12_skl,X1,sK13_skl))|~in(X2,X1)|sK15_skl(unordered_triple(sK12_skl,X1,sK13_skl))=sK13_skl)),
% 40.70/6.10 inference(paramodulation,[status(thm)],[f4117,f107])).
% 40.70/6.10 fof(f7262,plain,(
% 40.70/6.10 ![X0,X1]: (~in(X0,unordered_triple(sK12_skl,X1,sK13_skl))|~in(sK12_skl,X1)|sK15_skl(unordered_triple(sK12_skl,X1,sK13_skl))=sK13_skl)),
% 40.70/6.10 inference(resolution,[status(thm)],[f4219,f161])).
% 40.70/6.10 fof(f7732,plain,(
% 40.70/6.10 ![X0]: (~in(sK12_skl,X0)|sK15_skl(unordered_triple(sK12_skl,X0,sK13_skl))=sK13_skl)),
% 40.70/6.10 inference(resolution,[status(thm)],[f7262,f285])).
% 40.70/6.10 fof(f7758,plain,(
% 40.70/6.10 sK15_skl(unordered_triple(sK12_skl,sK14_skl,sK13_skl))=sK13_skl),
% 40.70/6.10 inference(resolution,[status(thm)],[f7732,f95])).
% 40.70/6.10 fof(f7806,plain,(
% 40.70/6.10 ![X0,X1]: (~in(X0,unordered_triple(sK12_skl,sK14_skl,sK13_skl))|~in(X1,unordered_triple(sK12_skl,sK14_skl,sK13_skl))|~in(X1,sK13_skl))),
% 40.70/6.10 inference(paramodulation,[status(thm)],[f7758,f107])).
% 40.70/6.10 fof(f8690,plain,(
% 40.70/6.10 ![X0]: (~in(X0,unordered_triple(sK12_skl,sK14_skl,sK13_skl))|~in(sK14_skl,sK13_skl))),
% 40.70/6.10 inference(resolution,[status(thm)],[f7806,f162])).
% 40.70/6.10 fof(f8699,plain,(
% 40.70/6.10 ![X0]: (~in(X0,unordered_triple(sK12_skl,sK14_skl,sK13_skl)))),
% 40.70/6.10 inference(forward_subsumption_resolution,[status(thm)],[f8690,f96])).
% 40.70/6.10 fof(f8800,plain,(
% 40.70/6.10 $false),
% 40.70/6.10 inference(resolution,[status(thm)],[f8699,f285])).
% 40.70/6.10 % SZS output end CNFRefutation for theBenchmark.p
% 40.70/6.11 % Elapsed time: 5.650079 seconds
% 40.70/6.11 % CPU time: 44.237954 seconds
% 40.70/6.11 % Total memory used: 251.748 MB
% 40.70/6.11 % Net memory used: 230.694 MB
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