%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM414+1 : 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 : n001.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 01:42:50 PM UTC 2026
% Result : Theorem 0.15s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM414+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n001.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Mon Sep 21 02:33:28 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.44 % Drodi V4.1.1
% 0.15/0.47 % Refutation found
% 0.15/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.47 fof(f9,axiom,(
% 0.15/0.47 (! [A,B] :( ( ordinal(A)& ordinal(B) )=> ( ordinal_subset(A,B)| ordinal_subset(B,A) ) ) )),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f10,axiom,(
% 0.15/0.47 (! [A,B] :( proper_subset(A,B)<=> ( subset(A,B)& A != B ) ) )),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f31,axiom,(
% 0.15/0.47 (! [A,B] :( ( ordinal(A)& ordinal(B) )=> ( ordinal_subset(A,B)<=> subset(A,B) ) ) )),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f38,conjecture,(
% 0.15/0.47 (! [A] :( ordinal(A)=> (! [B] :( ordinal(B)=> ~ ( ~ proper_subset(A,B)& A != B& ~ proper_subset(B,A) ) ) )) )),
% 0.15/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f39,negated_conjecture,(
% 0.15/0.47 ~((! [A] :( ordinal(A)=> (! [B] :( ordinal(B)=> ~ ( ~ proper_subset(A,B)& A != B& ~ proper_subset(B,A) ) ) )) ))),
% 0.15/0.47 inference(negated_conjecture,[status(cth)],[f38])).
% 0.15/0.47 fof(f65,plain,(
% 0.15/0.47 ![A,B]: ((~ordinal(A)|~ordinal(B))|(ordinal_subset(A,B)|ordinal_subset(B,A)))),
% 0.15/0.47 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.15/0.47 fof(f66,plain,(
% 0.15/0.47 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|ordinal_subset(X0,X1)|ordinal_subset(X1,X0))),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f65])).
% 0.15/0.47 fof(f67,plain,(
% 0.15/0.47 ![A,B]: ((~proper_subset(A,B)|(subset(A,B)&~A=B))&(proper_subset(A,B)|(~subset(A,B)|A=B)))),
% 0.15/0.47 inference(NNF_transformation,[status(thm)],[f10])).
% 0.15/0.47 fof(f68,plain,(
% 0.15/0.47 (![A,B]: (~proper_subset(A,B)|(subset(A,B)&~A=B)))&(![A,B]: (proper_subset(A,B)|(~subset(A,B)|A=B)))),
% 0.15/0.47 inference(miniscoping,[status(thm)],[f67])).
% 0.15/0.47 fof(f71,plain,(
% 0.15/0.47 ![X0,X1]: (proper_subset(X0,X1)|~subset(X0,X1)|X0=X1)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f68])).
% 0.15/0.47 fof(f143,plain,(
% 0.15/0.47 ![A,B]: ((~ordinal(A)|~ordinal(B))|(ordinal_subset(A,B)<=>subset(A,B)))),
% 0.15/0.47 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 0.15/0.47 fof(f144,plain,(
% 0.15/0.47 ![A,B]: ((~ordinal(A)|~ordinal(B))|((~ordinal_subset(A,B)|subset(A,B))&(ordinal_subset(A,B)|~subset(A,B))))),
% 0.15/0.47 inference(NNF_transformation,[status(thm)],[f143])).
% 0.15/0.47 fof(f145,plain,(
% 0.15/0.47 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|~ordinal_subset(X0,X1)|subset(X0,X1))),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f144])).
% 0.15/0.47 fof(f163,plain,(
% 0.15/0.47 (?[A]: (ordinal(A)&(?[B]: (ordinal(B)&((~proper_subset(A,B)&~A=B)&~proper_subset(B,A))))))),
% 0.15/0.47 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.15/0.47 fof(f164,plain,(
% 0.15/0.47 (ordinal(sK15_skl)&(ordinal(sK16_skl)&((~proper_subset(sK15_skl,sK16_skl)&~sK15_skl=sK16_skl)&~proper_subset(sK16_skl,sK15_skl))))),
% 0.15/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl,sK16_skl]),skolemize(A,sK15_skl),skolemize(B,sK16_skl)],[f163])).
% 0.15/0.47 fof(f165,plain,(
% 0.15/0.47 ordinal(sK15_skl)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f164])).
% 0.15/0.47 fof(f166,plain,(
% 0.15/0.47 ordinal(sK16_skl)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f164])).
% 0.15/0.47 fof(f167,plain,(
% 0.15/0.47 ~proper_subset(sK15_skl,sK16_skl)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f164])).
% 0.15/0.47 fof(f168,plain,(
% 0.15/0.47 ~sK15_skl=sK16_skl),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f164])).
% 0.15/0.47 fof(f169,plain,(
% 0.15/0.47 ~proper_subset(sK16_skl,sK15_skl)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f164])).
% 0.15/0.47 fof(f183,plain,(
% 0.15/0.47 ![X0]: (~ordinal(X0)|ordinal_subset(X0,sK16_skl)|ordinal_subset(sK16_skl,X0))),
% 0.15/0.47 inference(resolution,[status(thm)],[f66,f166])).
% 0.15/0.47 fof(f186,plain,(
% 0.15/0.47 ordinal_subset(sK15_skl,sK16_skl)|ordinal_subset(sK16_skl,sK15_skl)),
% 0.15/0.47 inference(resolution,[status(thm)],[f183,f165])).
% 0.15/0.47 fof(f205,plain,(
% 0.15/0.47 ![X0,X1]: (~ordinal(X0)|~ordinal(X1)|~ordinal_subset(X0,X1)|proper_subset(X0,X1)|X0=X1)),
% 0.15/0.47 inference(resolution,[status(thm)],[f145,f71])).
% 0.15/0.47 fof(f283,plain,(
% 0.15/0.47 ~ordinal(sK16_skl)|~ordinal(sK15_skl)|~ordinal_subset(sK16_skl,sK15_skl)|sK16_skl=sK15_skl),
% 0.15/0.47 inference(resolution,[status(thm)],[f205,f169])).
% 0.15/0.47 fof(f284,plain,(
% 0.15/0.47 ~ordinal(sK15_skl)|~ordinal(sK16_skl)|~ordinal_subset(sK15_skl,sK16_skl)|sK15_skl=sK16_skl),
% 0.15/0.47 inference(resolution,[status(thm)],[f205,f167])).
% 0.15/0.47 fof(f288,plain,(
% 0.15/0.47 ~ordinal(sK15_skl)|~ordinal_subset(sK16_skl,sK15_skl)|sK16_skl=sK15_skl),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f283,f166])).
% 0.15/0.47 fof(f289,plain,(
% 0.15/0.47 ~ordinal(sK16_skl)|~ordinal_subset(sK15_skl,sK16_skl)|sK15_skl=sK16_skl),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f284,f165])).
% 0.15/0.47 fof(f297,plain,(
% 0.15/0.47 ~ordinal_subset(sK16_skl,sK15_skl)|sK16_skl=sK15_skl),
% 0.15/0.47 inference(resolution,[status(thm)],[f288,f165])).
% 0.15/0.47 fof(f298,plain,(
% 0.15/0.47 ordinal_subset(sK15_skl,sK16_skl)),
% 0.15/0.47 inference(backward_subsumption_resolution,[status(thm)],[f186,f299])).
% 0.15/0.47 fof(f299,plain,(
% 0.15/0.47 ~ordinal_subset(sK16_skl,sK15_skl)),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f297,f168])).
% 0.15/0.47 fof(f300,plain,(
% 0.15/0.47 ~ordinal(sK16_skl)|sK15_skl=sK16_skl),
% 0.15/0.47 inference(backward_subsumption_resolution,[status(thm)],[f289,f298])).
% 0.15/0.47 fof(f312,plain,(
% 0.15/0.47 ~sK15_skl=sK15_skl),
% 0.15/0.47 inference(backward_demodulation,[status(thm)],[f317,f168])).
% 0.15/0.47 fof(f317,plain,(
% 0.15/0.47 sK15_skl=sK16_skl),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f300,f166])).
% 0.15/0.47 fof(f326,plain,(
% 0.15/0.47 $false),
% 0.15/0.47 inference(trivial_equality_resolution,[status(thm)],[f312])).
% 0.15/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.55 % Elapsed time: 0.116898 seconds
% 0.15/0.55 % CPU time: 0.170101 seconds
% 0.15/0.55 % Total memory used: 23.758 MB
% 0.15/0.55 % Net memory used: 23.722 MB
%------------------------------------------------------------------------------