%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM401+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 01:42:49 PM UTC 2026
% Result : Theorem 0.23s 0.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM401+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47 % Computer : n011.cluster.edu
% 0.17/0.47 % Model : x86_64 x86_64
% 0.17/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.47 % Memory : 8046.5625MB
% 0.17/0.47 % OS : Linux 6.8.0-71-generic
% 0.17/0.47 % CPULimit : 300
% 0.17/0.47 % WCLimit : 300
% 0.17/0.47 % DateTime : Mon Sep 21 02:27:10 UTC 2026
% 0.17/0.48 % CPUTime :
% 0.17/0.50 % Drodi V4.1.1
% 0.23/0.67 % Refutation found
% 0.23/0.67 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/0.67 % SZS output start CNFRefutation for theBenchmark
% 0.23/0.67 fof(f3,axiom,(
% 0.23/0.67 (! [A] :( ordinal(A)=> ( epsilon_transitive(A)& epsilon_connected(A) ) ) )),
% 0.23/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.67 fof(f9,axiom,(
% 0.23/0.67 (! [A,B] :( ( ordinal(A)& ordinal(B) )=> ( ordinal_subset(A,B)| ordinal_subset(B,A) ) ) )),
% 0.23/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.67 fof(f10,axiom,(
% 0.23/0.67 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.23/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.67 fof(f11,axiom,(
% 0.23/0.67 (! [A] : succ(A) = set_union2(A,singleton(A)) )),
% 0.23/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.67 fof(f12,axiom,(
% 0.23/0.67 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 0.23/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.67 fof(f13,axiom,(
% 0.23/0.67 (! [A] :( epsilon_transitive(A)<=> (! [B] :( in(B,A)=> subset(B,A) ) )) )),
% 0.23/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.67 fof(f14,axiom,(
% 0.23/0.67 (! [A,B,C] :( C = set_union2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)| in(D,B) ) ) )) )),
% 0.23/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.67 fof(f39,axiom,(
% 0.23/0.67 (! [A,B] :( ( ordinal(A)& ordinal(B) )=> ( ordinal_subset(A,B)<=> subset(A,B) ) ) )),
% 0.23/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.67 fof(f42,axiom,(
% 0.23/0.67 (! [A] : in(A,succ(A)) )),
% 0.23/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.67 fof(f46,axiom,(
% 0.23/0.67 (! [A] :( ordinal(A)=> (! [B] :( ordinal(B)=> ~ ( ~ in(A,B)& A != B& ~ in(B,A) ) ) )) )),
% 0.23/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.67 fof(f48,conjecture,(
% 0.23/0.67 (! [A] :( ordinal(A)=> (! [B] :( ordinal(B)=> ( in(A,succ(B))<=> ordinal_subset(A,B) ) ) )) )),
% 0.23/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/0.67 fof(f49,negated_conjecture,(
% 0.23/0.67 ~((! [A] :( ordinal(A)=> (! [B] :( ordinal(B)=> ( in(A,succ(B))<=> ordinal_subset(A,B) ) ) )) ))),
% 0.23/0.67 inference(negated_conjecture,[status(cth)],[f48])).
% 0.23/0.67 fof(f60,plain,(
% 0.23/0.67 ![A]: (~ordinal(A)|(epsilon_transitive(A)&epsilon_connected(A)))),
% 0.23/0.67 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.23/0.67 fof(f61,plain,(
% 0.23/0.67 ![X0]: (~ordinal(X0)|epsilon_transitive(X0))),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f60])).
% 0.23/0.67 fof(f76,plain,(
% 0.23/0.67 ![A,B]: ((~ordinal(A)|~ordinal(B))|(ordinal_subset(A,B)|ordinal_subset(B,A)))),
% 0.23/0.67 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.23/0.67 fof(f77,plain,(
% 0.23/0.67 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|ordinal_subset(X0,X1)|ordinal_subset(X1,X0))),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f76])).
% 0.23/0.67 fof(f78,plain,(
% 0.23/0.67 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 0.23/0.67 inference(NNF_transformation,[status(thm)],[f10])).
% 0.23/0.67 fof(f79,plain,(
% 0.23/0.67 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 0.23/0.67 inference(miniscoping,[status(thm)],[f78])).
% 0.23/0.67 fof(f82,plain,(
% 0.23/0.67 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f79])).
% 0.23/0.67 fof(f83,plain,(
% 0.23/0.67 ![X0]: (succ(X0)=set_union2(X0,singleton(X0)))),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f11])).
% 0.23/0.67 fof(f84,plain,(
% 0.23/0.67 ![A,B]: ((~B=singleton(A)|(![C]: ((~in(C,B)|C=A)&(in(C,B)|~C=A))))&(B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 0.23/0.67 inference(NNF_transformation,[status(thm)],[f12])).
% 0.23/0.67 fof(f85,plain,(
% 0.23/0.67 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 0.23/0.67 inference(miniscoping,[status(thm)],[f84])).
% 0.23/0.67 fof(f86,plain,(
% 0.23/0.67 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|((~in(sK0_skl(B,A),B)|~sK0_skl(B,A)=A)&(in(sK0_skl(B,A),B)|sK0_skl(B,A)=A))))),
% 0.23/0.67 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f85])).
% 0.23/0.67 fof(f87,plain,(
% 0.23/0.67 ![X0,X1,X2]: (~X0=singleton(X1)|~in(X2,X0)|X2=X1)),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f86])).
% 0.23/0.67 fof(f91,plain,(
% 0.23/0.67 ![A]: (epsilon_transitive(A)<=>(![B]: (~in(B,A)|subset(B,A))))),
% 0.23/0.67 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.23/0.67 fof(f92,plain,(
% 0.23/0.67 ![A]: ((~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A))))&(epsilon_transitive(A)|(?[B]: (in(B,A)&~subset(B,A)))))),
% 0.23/0.67 inference(NNF_transformation,[status(thm)],[f91])).
% 0.23/0.67 fof(f93,plain,(
% 0.23/0.67 (![A]: (~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A)))))&(![A]: (epsilon_transitive(A)|(?[B]: (in(B,A)&~subset(B,A)))))),
% 0.23/0.67 inference(miniscoping,[status(thm)],[f92])).
% 0.23/0.67 fof(f94,plain,(
% 0.23/0.67 (![A]: (~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A)))))&(![A]: (epsilon_transitive(A)|(in(sK1_skl(A),A)&~subset(sK1_skl(A),A))))),
% 0.23/0.67 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(B,sK1_skl(A))],[f93])).
% 0.23/0.67 fof(f95,plain,(
% 0.23/0.67 ![X0,X1]: (~epsilon_transitive(X0)|~in(X1,X0)|subset(X1,X0))),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f94])).
% 0.23/0.67 fof(f98,plain,(
% 0.23/0.67 ![A,B,C]: ((~C=set_union2(A,B)|(![D]: ((~in(D,C)|(in(D,A)|in(D,B)))&(in(D,C)|(~in(D,A)&~in(D,B))))))&(C=set_union2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))))),
% 0.23/0.67 inference(NNF_transformation,[status(thm)],[f14])).
% 0.23/0.67 fof(f99,plain,(
% 0.23/0.67 (![A,B,C]: (~C=set_union2(A,B)|((![D]: (~in(D,C)|(in(D,A)|in(D,B))))&(![D]: (in(D,C)|(~in(D,A)&~in(D,B)))))))&(![A,B,C]: (C=set_union2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)&~in(D,B)))&(in(D,C)|(in(D,A)|in(D,B)))))))),
% 0.23/0.67 inference(miniscoping,[status(thm)],[f98])).
% 0.23/0.67 fof(f100,plain,(
% 0.23/0.67 (![A,B,C]: (~C=set_union2(A,B)|((![D]: (~in(D,C)|(in(D,A)|in(D,B))))&(![D]: (in(D,C)|(~in(D,A)&~in(D,B)))))))&(![A,B,C]: (C=set_union2(A,B)|((~in(sK2_skl(C,B,A),C)|(~in(sK2_skl(C,B,A),A)&~in(sK2_skl(C,B,A),B)))&(in(sK2_skl(C,B,A),C)|(in(sK2_skl(C,B,A),A)|in(sK2_skl(C,B,A),B))))))),
% 0.23/0.67 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(D,sK2_skl(C,B,A))],[f99])).
% 0.23/0.67 fof(f101,plain,(
% 0.23/0.67 ![X0,X1,X2,X3]: (~X0=set_union2(X1,X2)|~in(X3,X0)|in(X3,X1)|in(X3,X2))),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f100])).
% 0.23/0.67 fof(f102,plain,(
% 0.23/0.67 ![X0,X1,X2,X3]: (~X0=set_union2(X1,X2)|in(X3,X0)|~in(X3,X1))),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f100])).
% 0.23/0.67 fof(f188,plain,(
% 0.23/0.67 ![A,B]: ((~ordinal(A)|~ordinal(B))|(ordinal_subset(A,B)<=>subset(A,B)))),
% 0.23/0.67 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.23/0.67 fof(f189,plain,(
% 0.23/0.67 ![A,B]: ((~ordinal(A)|~ordinal(B))|((~ordinal_subset(A,B)|subset(A,B))&(ordinal_subset(A,B)|~subset(A,B))))),
% 0.23/0.67 inference(NNF_transformation,[status(thm)],[f188])).
% 0.23/0.67 fof(f190,plain,(
% 0.23/0.67 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|~ordinal_subset(X0,X1)|subset(X0,X1))),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f189])).
% 0.23/0.67 fof(f197,plain,(
% 0.23/0.67 ![X0]: (in(X0,succ(X0)))),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f42])).
% 0.23/0.67 fof(f202,plain,(
% 0.23/0.67 ![A]: (~ordinal(A)|(![B]: (~ordinal(B)|((in(A,B)|A=B)|in(B,A)))))),
% 0.23/0.67 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 0.23/0.67 fof(f203,plain,(
% 0.23/0.67 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|in(X0,X1)|X0=X1|in(X1,X0))),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f202])).
% 0.23/0.67 fof(f206,plain,(
% 0.23/0.67 (?[A]: (ordinal(A)&(?[B]: (ordinal(B)&(in(A,succ(B))<~>ordinal_subset(A,B))))))),
% 0.23/0.67 inference(pre_NNF_transformation,[status(thm)],[f49])).
% 0.23/0.67 fof(f207,plain,(
% 0.23/0.67 ?[A]: (ordinal(A)&(?[B]: (ordinal(B)&((in(A,succ(B))|ordinal_subset(A,B))&(~in(A,succ(B))|~ordinal_subset(A,B))))))),
% 0.23/0.67 inference(NNF_transformation,[status(thm)],[f206])).
% 0.23/0.67 fof(f208,plain,(
% 0.23/0.67 (ordinal(sK17_skl)&(ordinal(sK18_skl)&((in(sK17_skl,succ(sK18_skl))|ordinal_subset(sK17_skl,sK18_skl))&(~in(sK17_skl,succ(sK18_skl))|~ordinal_subset(sK17_skl,sK18_skl)))))),
% 0.23/0.67 inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl,sK18_skl]),skolemize(A,sK17_skl),skolemize(B,sK18_skl)],[f207])).
% 0.23/0.67 fof(f209,plain,(
% 0.23/0.67 ordinal(sK17_skl)),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f208])).
% 0.23/0.67 fof(f210,plain,(
% 0.23/0.67 ordinal(sK18_skl)),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f208])).
% 0.23/0.67 fof(f211,plain,(
% 0.23/0.67 in(sK17_skl,succ(sK18_skl))|ordinal_subset(sK17_skl,sK18_skl)),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f208])).
% 0.23/0.67 fof(f212,plain,(
% 0.23/0.67 ~in(sK17_skl,succ(sK18_skl))|~ordinal_subset(sK17_skl,sK18_skl)),
% 0.23/0.67 inference(cnf_transformation,[status(thm)],[f208])).
% 0.23/0.67 fof(f234,plain,(
% 0.23/0.67 ![X0,X1]: (~in(X0,singleton(X1))|X0=X1)),
% 0.23/0.67 inference(destructive_equality_resolution,[status(thm)],[f87])).
% 0.23/0.67 fof(f236,plain,(
% 0.23/0.67 ![X0,X1,X2]: (~in(X0,set_union2(X1,X2))|in(X0,X1)|in(X0,X2))),
% 0.23/0.67 inference(destructive_equality_resolution,[status(thm)],[f101])).
% 0.23/0.67 fof(f237,plain,(
% 0.23/0.67 ![X0,X1,X2]: (in(X0,set_union2(X1,X2))|~in(X0,X1))),
% 0.23/0.67 inference(destructive_equality_resolution,[status(thm)],[f102])).
% 0.23/0.67 fof(f241,plain,(
% 0.23/0.67 ![X0]: (~ordinal(X0)|ordinal_subset(X0,sK18_skl)|ordinal_subset(sK18_skl,X0))),
% 0.23/0.67 inference(resolution,[status(thm)],[f77,f210])).
% 0.23/0.67 fof(f242,plain,(
% 0.23/0.67 ![X0]: (~ordinal(X0)|ordinal_subset(X0,sK17_skl)|ordinal_subset(sK17_skl,X0))),
% 0.23/0.67 inference(resolution,[status(thm)],[f77,f209])).
% 0.23/0.67 fof(f247,plain,(
% 0.23/0.67 ordinal_subset(sK17_skl,sK18_skl)|ordinal_subset(sK18_skl,sK17_skl)),
% 0.23/0.67 inference(resolution,[status(thm)],[f241,f209])).
% 0.23/0.67 fof(f252,plain,(
% 0.23/0.67 ordinal_subset(sK17_skl,sK17_skl)|ordinal_subset(sK17_skl,sK17_skl)),
% 0.23/0.67 inference(resolution,[status(thm)],[f242,f209])).
% 0.23/0.67 fof(f254,plain,(
% 0.23/0.67 ordinal_subset(sK17_skl,sK17_skl)),
% 0.23/0.67 inference(duplicate_literals_removal,[status(thm)],[f252])).
% 0.23/0.67 fof(f271,plain,(
% 0.23/0.67 ![X0]: (~ordinal(X0)|in(X0,sK18_skl)|X0=sK18_skl|in(sK18_skl,X0))),
% 0.23/0.67 inference(resolution,[status(thm)],[f203,f210])).
% 0.23/0.67 fof(f288,plain,(
% 0.23/0.67 in(sK17_skl,sK18_skl)|sK17_skl=sK18_skl|in(sK18_skl,sK17_skl)),
% 0.23/0.67 inference(resolution,[status(thm)],[f271,f209])).
% 0.23/0.67 fof(f312,plain,(
% 0.23/0.67 ![X0,X1]: (X0=X1|~subset(X0,X1)|~ordinal(X1)|~ordinal(X0)|~ordinal_subset(X1,X0))),
% 0.23/0.67 inference(resolution,[status(thm)],[f82,f190])).
% 0.23/0.67 fof(f351,plain,(
% 0.23/0.67 ![X0,X1]: (~in(X0,X1)|subset(X0,X1)|~ordinal(X1))),
% 0.23/0.67 inference(resolution,[status(thm)],[f95,f61])).
% 0.23/0.67 fof(f379,plain,(
% 0.23/0.67 ![X0,X1]: (in(X0,succ(X1))|~in(X0,X1))),
% 0.23/0.67 inference(paramodulation,[status(thm)],[f83,f237])).
% 0.23/0.67 fof(f401,plain,(
% 0.23/0.67 ![X0,X1]: (~in(X0,succ(X1))|in(X0,X1)|in(X0,singleton(X1)))),
% 0.23/0.67 inference(paramodulation,[status(thm)],[f83,f236])).
% 0.23/0.67 fof(f472,plain,(
% 0.23/0.67 ![X0,X1]: (~in(X0,X1)|~ordinal(X1)|X0=X1|~ordinal(X1)|~ordinal(X0)|~ordinal_subset(X1,X0))),
% 0.23/0.67 inference(resolution,[status(thm)],[f351,f312])).
% 0.23/0.67 fof(f475,plain,(
% 0.23/0.67 ![X0,X1]: (~in(X0,X1)|~ordinal(X1)|X0=X1|~ordinal(X0)|~ordinal_subset(X1,X0))),
% 0.23/0.67 inference(duplicate_literals_removal,[status(thm)],[f472])).
% 0.23/0.67 fof(f1909,plain,(
% 0.23/0.67 in(sK17_skl,sK18_skl)|in(sK17_skl,singleton(sK18_skl))|ordinal_subset(sK17_skl,sK18_skl)),
% 0.23/0.67 inference(resolution,[status(thm)],[f401,f211])).
% 0.23/0.67 fof(f1923,plain,(
% 0.23/0.67 ![X0]: (~in(X0,sK18_skl)|X0=sK18_skl|~ordinal(X0)|~ordinal_subset(sK18_skl,X0))),
% 0.23/0.67 inference(resolution,[status(thm)],[f475,f210])).
% 0.23/0.67 fof(f1924,plain,(
% 0.23/0.67 ![X0]: (~in(X0,sK17_skl)|X0=sK17_skl|~ordinal(X0)|~ordinal_subset(sK17_skl,X0))),
% 0.23/0.67 inference(resolution,[status(thm)],[f475,f209])).
% 0.23/0.67 fof(f2087,plain,(
% 0.23/0.67 ~in(sK17_skl,sK18_skl)|sK17_skl=sK18_skl|~ordinal(sK17_skl)|ordinal_subset(sK17_skl,sK18_skl)),
% 0.23/0.67 inference(resolution,[status(thm)],[f1923,f247])).
% 0.23/0.67 fof(f2093,plain,(
% 0.23/0.67 ~in(sK17_skl,sK18_skl)|sK17_skl=sK18_skl|ordinal_subset(sK17_skl,sK18_skl)),
% 0.23/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2087,f209])).
% 0.23/0.67 fof(f2106,plain,(
% 0.23/0.67 in(sK17_skl,sK18_skl)|ordinal_subset(sK17_skl,sK18_skl)|sK17_skl=sK18_skl),
% 0.23/0.67 inference(resolution,[status(thm)],[f1909,f234])).
% 0.23/0.67 fof(f2112,plain,(
% 0.23/0.67 ordinal_subset(sK17_skl,sK18_skl)|sK17_skl=sK18_skl),
% 0.23/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2106,f2093])).
% 0.23/0.67 fof(f2113,plain,(
% 0.23/0.67 sK17_skl=sK18_skl|~in(sK17_skl,succ(sK18_skl))),
% 0.23/0.67 inference(resolution,[status(thm)],[f2112,f212])).
% 0.23/0.67 fof(f2114,plain,(
% 0.23/0.67 sK17_skl=sK18_skl|~in(sK18_skl,sK17_skl)|sK18_skl=sK17_skl|~ordinal(sK18_skl)),
% 0.23/0.67 inference(resolution,[status(thm)],[f2112,f1924])).
% 0.23/0.67 fof(f2116,plain,(
% 0.23/0.67 sK17_skl=sK18_skl|~in(sK18_skl,sK17_skl)|~ordinal(sK18_skl)),
% 0.23/0.67 inference(duplicate_literals_removal,[status(thm)],[f2114])).
% 0.23/0.67 fof(f2117,plain,(
% 0.23/0.67 in(sK17_skl,sK18_skl)|sK17_skl=sK18_skl),
% 0.23/0.67 inference(backward_subsumption_resolution,[status(thm)],[f288,f2118])).
% 0.23/0.67 fof(f2118,plain,(
% 0.23/0.67 sK17_skl=sK18_skl|~in(sK18_skl,sK17_skl)),
% 0.23/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2116,f210])).
% 0.23/0.67 fof(f2136,plain,(
% 0.23/0.67 sK17_skl=sK18_skl|~in(sK17_skl,sK18_skl)),
% 0.23/0.67 inference(resolution,[status(thm)],[f2113,f379])).
% 0.23/0.67 fof(f2170,plain,(
% 0.23/0.67 ~in(sK17_skl,succ(sK18_skl))|~ordinal_subset(sK17_skl,sK17_skl)),
% 0.23/0.67 inference(backward_demodulation,[status(thm)],[f2240,f212])).
% 0.23/0.67 fof(f2240,plain,(
% 0.23/0.67 sK17_skl=sK18_skl),
% 0.23/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2136,f2117])).
% 0.23/0.67 fof(f2279,plain,(
% 0.23/0.67 ~in(sK17_skl,succ(sK17_skl))|~ordinal_subset(sK17_skl,sK17_skl)),
% 0.23/0.67 inference(forward_demodulation,[status(thm)],[f2240,f2170])).
% 0.23/0.67 fof(f2281,plain,(
% 0.23/0.67 ~ordinal_subset(sK17_skl,sK17_skl)),
% 0.23/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2279,f197])).
% 0.23/0.67 fof(f2282,plain,(
% 0.23/0.67 $false),
% 0.23/0.67 inference(backward_subsumption_resolution,[status(thm)],[f254,f2281])).
% 0.23/0.67 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.72 % Elapsed time: 0.224695 seconds
% 0.23/0.72 % CPU time: 1.206712 seconds
% 0.23/0.72 % Total memory used: 116.880 MB
% 0.23/0.72 % Net memory used: 115.817 MB
%------------------------------------------------------------------------------