%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM394+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 : n009.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 0.12s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM394+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 02:26:57 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.39 fof(f3,axiom,(
% 0.12/0.39 (! [A] :( ordinal(A)=> ( epsilon_transitive(A)& epsilon_connected(A) ) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f7,axiom,(
% 0.12/0.39 (! [A,B] :( ( ordinal(A)& ordinal(B) )=> ( ordinal_subset(A,B)| ordinal_subset(B,A) ) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f8,axiom,(
% 0.12/0.39 (! [A] :( epsilon_transitive(A)<=> (! [B] :( in(B,A)=> subset(B,A) ) )) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f24,axiom,(
% 0.12/0.39 (! [A,B] :( ( ordinal(A)& ordinal(B) )=> ( ordinal_subset(A,B)<=> subset(A,B) ) ) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f28,axiom,(
% 0.12/0.39 (! [A] :( ordinal(A)=> (! [B] :( ordinal(B)=> ~ ( ~ in(A,B)& A != B& ~ in(B,A) ) ) )) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f29,conjecture,(
% 0.12/0.39 (! [A] :( ordinal(A)=> (! [B] :( ordinal(B)=> ( ordinal_subset(A,B)| in(B,A) ) ) )) )),
% 0.12/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.39 fof(f30,negated_conjecture,(
% 0.12/0.39 ~((! [A] :( ordinal(A)=> (! [B] :( ordinal(B)=> ( ordinal_subset(A,B)| in(B,A) ) ) )) ))),
% 0.12/0.39 inference(negated_conjecture,[status(cth)],[f29])).
% 0.12/0.39 fof(f42,plain,(
% 0.12/0.39 ![A]: (~ordinal(A)|(epsilon_transitive(A)&epsilon_connected(A)))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.12/0.39 fof(f43,plain,(
% 0.12/0.39 ![X0]: (~ordinal(X0)|epsilon_transitive(X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f42])).
% 0.12/0.39 fof(f53,plain,(
% 0.12/0.39 ![A,B]: ((~ordinal(A)|~ordinal(B))|(ordinal_subset(A,B)|ordinal_subset(B,A)))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.12/0.39 fof(f54,plain,(
% 0.12/0.39 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|ordinal_subset(X0,X1)|ordinal_subset(X1,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f53])).
% 0.12/0.39 fof(f55,plain,(
% 0.12/0.39 ![A]: (epsilon_transitive(A)<=>(![B]: (~in(B,A)|subset(B,A))))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.12/0.39 fof(f56,plain,(
% 0.12/0.39 ![A]: ((~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A))))&(epsilon_transitive(A)|(?[B]: (in(B,A)&~subset(B,A)))))),
% 0.12/0.39 inference(NNF_transformation,[status(thm)],[f55])).
% 0.12/0.39 fof(f57,plain,(
% 0.12/0.39 (![A]: (~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A)))))&(![A]: (epsilon_transitive(A)|(?[B]: (in(B,A)&~subset(B,A)))))),
% 0.12/0.39 inference(miniscoping,[status(thm)],[f56])).
% 0.12/0.39 fof(f58,plain,(
% 0.12/0.39 (![A]: (~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A)))))&(![A]: (epsilon_transitive(A)|(in(sK0_skl(A),A)&~subset(sK0_skl(A),A))))),
% 0.12/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(B,sK0_skl(A))],[f57])).
% 0.12/0.39 fof(f59,plain,(
% 0.12/0.39 ![X0,X1]: (~epsilon_transitive(X0)|~in(X1,X0)|subset(X1,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f58])).
% 0.12/0.39 fof(f106,plain,(
% 0.12/0.39 ![A,B]: ((~ordinal(A)|~ordinal(B))|(ordinal_subset(A,B)<=>subset(A,B)))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 0.12/0.39 fof(f107,plain,(
% 0.12/0.39 ![A,B]: ((~ordinal(A)|~ordinal(B))|((~ordinal_subset(A,B)|subset(A,B))&(ordinal_subset(A,B)|~subset(A,B))))),
% 0.12/0.39 inference(NNF_transformation,[status(thm)],[f106])).
% 0.12/0.39 fof(f109,plain,(
% 0.12/0.39 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|ordinal_subset(X0,X1)|~subset(X0,X1))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f107])).
% 0.12/0.39 fof(f117,plain,(
% 0.12/0.39 ![A]: (~ordinal(A)|(![B]: (~ordinal(B)|((in(A,B)|A=B)|in(B,A)))))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.12/0.39 fof(f118,plain,(
% 0.12/0.39 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|in(X0,X1)|X0=X1|in(X1,X0))),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f117])).
% 0.12/0.39 fof(f119,plain,(
% 0.12/0.39 (?[A]: (ordinal(A)&(?[B]: (ordinal(B)&(~ordinal_subset(A,B)&~in(B,A))))))),
% 0.12/0.39 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.12/0.39 fof(f120,plain,(
% 0.12/0.39 (ordinal(sK13_skl)&(ordinal(sK14_skl)&(~ordinal_subset(sK13_skl,sK14_skl)&~in(sK14_skl,sK13_skl))))),
% 0.12/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl]),skolemize(A,sK13_skl),skolemize(B,sK14_skl)],[f119])).
% 0.12/0.39 fof(f121,plain,(
% 0.12/0.39 ordinal(sK13_skl)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f120])).
% 0.12/0.39 fof(f122,plain,(
% 0.12/0.39 ordinal(sK14_skl)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f120])).
% 0.12/0.39 fof(f123,plain,(
% 0.12/0.39 ~ordinal_subset(sK13_skl,sK14_skl)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f120])).
% 0.12/0.39 fof(f124,plain,(
% 0.12/0.39 ~in(sK14_skl,sK13_skl)),
% 0.12/0.39 inference(cnf_transformation,[status(thm)],[f120])).
% 0.12/0.39 fof(f146,plain,(
% 0.12/0.39 ![X0]: (~ordinal(X0)|ordinal_subset(X0,sK14_skl)|ordinal_subset(sK14_skl,X0))),
% 0.12/0.39 inference(resolution,[status(thm)],[f54,f122])).
% 0.12/0.39 fof(f148,plain,(
% 0.12/0.39 ordinal_subset(sK14_skl,sK14_skl)|ordinal_subset(sK14_skl,sK14_skl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f146,f122])).
% 0.12/0.39 fof(f150,plain,(
% 0.12/0.39 ordinal_subset(sK14_skl,sK14_skl)),
% 0.12/0.39 inference(duplicate_literals_removal,[status(thm)],[f148])).
% 0.12/0.39 fof(f168,plain,(
% 0.12/0.39 epsilon_transitive(sK14_skl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f43,f122])).
% 0.12/0.39 fof(f184,plain,(
% 0.12/0.39 ![X0]: (~ordinal(X0)|in(X0,sK14_skl)|X0=sK14_skl|in(sK14_skl,X0))),
% 0.12/0.39 inference(resolution,[status(thm)],[f118,f122])).
% 0.12/0.39 fof(f212,plain,(
% 0.12/0.39 in(sK13_skl,sK14_skl)|sK13_skl=sK14_skl|in(sK14_skl,sK13_skl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f184,f121])).
% 0.12/0.39 fof(f213,plain,(
% 0.12/0.39 in(sK13_skl,sK14_skl)|sK13_skl=sK14_skl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f212,f124])).
% 0.12/0.39 fof(f241,plain,(
% 0.12/0.39 ![X0]: (~in(X0,sK14_skl)|subset(X0,sK14_skl))),
% 0.12/0.39 inference(resolution,[status(thm)],[f59,f168])).
% 0.12/0.39 fof(f252,plain,(
% 0.12/0.39 subset(sK13_skl,sK14_skl)|sK13_skl=sK14_skl),
% 0.12/0.39 inference(resolution,[status(thm)],[f241,f213])).
% 0.12/0.39 fof(f253,plain,(
% 0.12/0.39 sK13_skl=sK14_skl|~ordinal(sK13_skl)|~ordinal(sK14_skl)|ordinal_subset(sK13_skl,sK14_skl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f252,f109])).
% 0.12/0.39 fof(f254,plain,(
% 0.12/0.39 sK13_skl=sK14_skl|~ordinal(sK14_skl)|ordinal_subset(sK13_skl,sK14_skl)),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f253,f121])).
% 0.12/0.39 fof(f255,plain,(
% 0.12/0.39 sK13_skl=sK14_skl|ordinal_subset(sK13_skl,sK14_skl)),
% 0.12/0.39 inference(resolution,[status(thm)],[f254,f122])).
% 0.12/0.39 fof(f274,plain,(
% 0.12/0.39 ~ordinal_subset(sK14_skl,sK14_skl)),
% 0.12/0.39 inference(backward_demodulation,[status(thm)],[f278,f123])).
% 0.12/0.39 fof(f278,plain,(
% 0.12/0.39 sK13_skl=sK14_skl),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f255,f123])).
% 0.12/0.39 fof(f291,plain,(
% 0.12/0.39 $false),
% 0.12/0.39 inference(forward_subsumption_resolution,[status(thm)],[f274,f150])).
% 0.12/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.43 % Elapsed time: 0.063039 seconds
% 0.12/0.43 % CPU time: 0.180295 seconds
% 0.12/0.43 % Total memory used: 81.654 MB
% 0.12/0.43 % Net memory used: 81.621 MB
%------------------------------------------------------------------------------