%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU139+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 02:21:46 PM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU139+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 05:47:41 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % 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(f5,axiom,(
% 0.10/0.40 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f12,axiom,(
% 0.10/0.40 (! [A,B] :( proper_subset(A,B)<=> ( subset(A,B)& A != B ) ) )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f50,conjecture,(
% 0.10/0.40 (! [A,B] :~ ( subset(A,B)& proper_subset(B,A) ) )),
% 0.10/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40 fof(f51,negated_conjecture,(
% 0.10/0.40 ~((! [A,B] :~ ( subset(A,B)& proper_subset(B,A) ) ))),
% 0.10/0.40 inference(negated_conjecture,[status(cth)],[f50])).
% 0.10/0.40 fof(f63,plain,(
% 0.10/0.40 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 0.10/0.40 inference(NNF_transformation,[status(thm)],[f5])).
% 0.10/0.40 fof(f64,plain,(
% 0.10/0.40 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f63])).
% 0.10/0.40 fof(f67,plain,(
% 0.10/0.40 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f64])).
% 0.10/0.40 fof(f111,plain,(
% 0.10/0.40 ![A,B]: ((~proper_subset(A,B)|(subset(A,B)&~A=B))&(proper_subset(A,B)|(~subset(A,B)|A=B)))),
% 0.10/0.40 inference(NNF_transformation,[status(thm)],[f12])).
% 0.10/0.40 fof(f112,plain,(
% 0.10/0.40 (![A,B]: (~proper_subset(A,B)|(subset(A,B)&~A=B)))&(![A,B]: (proper_subset(A,B)|(~subset(A,B)|A=B)))),
% 0.10/0.40 inference(miniscoping,[status(thm)],[f111])).
% 0.10/0.40 fof(f113,plain,(
% 0.10/0.40 ![X0,X1]: (~proper_subset(X0,X1)|subset(X0,X1))),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f112])).
% 0.10/0.40 fof(f114,plain,(
% 0.10/0.40 ![X0,X1]: (~proper_subset(X0,X1)|~X0=X1)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f112])).
% 0.10/0.40 fof(f190,plain,(
% 0.10/0.40 (?[A,B]: (subset(A,B)&proper_subset(B,A)))),
% 0.10/0.40 inference(pre_NNF_transformation,[status(thm)],[f51])).
% 0.10/0.40 fof(f191,plain,(
% 0.10/0.40 (subset(sK10_skl,sK11_skl)&proper_subset(sK11_skl,sK10_skl))),
% 0.10/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl,sK11_skl]),skolemize(A,sK10_skl),skolemize(B,sK11_skl)],[f190])).
% 0.10/0.40 fof(f192,plain,(
% 0.10/0.40 subset(sK10_skl,sK11_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f191])).
% 0.10/0.40 fof(f193,plain,(
% 0.10/0.40 proper_subset(sK11_skl,sK10_skl)),
% 0.10/0.40 inference(cnf_transformation,[status(thm)],[f191])).
% 0.10/0.40 fof(f217,plain,(
% 0.10/0.40 ![X0]: (~proper_subset(X0,X0))),
% 0.10/0.40 inference(destructive_equality_resolution,[status(thm)],[f114])).
% 0.10/0.40 fof(f219,plain,(
% 0.10/0.40 subset(sK11_skl,sK10_skl)),
% 0.10/0.40 inference(resolution,[status(thm)],[f113,f193])).
% 0.10/0.40 fof(f221,plain,(
% 0.10/0.40 sK11_skl=sK10_skl|~subset(sK11_skl,sK10_skl)),
% 0.10/0.40 inference(resolution,[status(thm)],[f67,f192])).
% 0.10/0.40 fof(f223,definition,(
% 0.10/0.40 sQ0_spl <=> (sK10_skl=sK11_skl)),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f224,plain,(
% 0.10/0.40 sK10_skl=sK11_skl|~sQ0_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f223])).
% 0.10/0.40 fof(f230,definition,(
% 0.10/0.40 sQ2_spl <=> (subset(sK11_skl,sK10_skl))),
% 0.10/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.40 fof(f232,plain,(
% 0.10/0.40 ~subset(sK11_skl,sK10_skl)|sQ2_spl),
% 0.10/0.40 inference(component_clause,[status(thm)],[f230])).
% 0.10/0.40 fof(f233,plain,(
% 0.10/0.40 sQ0_spl|~sQ2_spl),
% 0.10/0.40 inference(split_clause,[status(thm)],[f221,f223,f230])).
% 0.10/0.40 fof(f236,plain,(
% 0.10/0.40 proper_subset(sK11_skl,sK11_skl)|~sQ0_spl),
% 0.10/0.40 inference(backward_demodulation,[status(thm)],[f224,f193])).
% 0.10/0.40 fof(f238,plain,(
% 0.10/0.40 $false|~sQ0_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f236,f217])).
% 0.10/0.40 fof(f239,plain,(
% 0.10/0.40 ~sQ0_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f238])).
% 0.10/0.40 fof(f259,plain,(
% 0.10/0.40 $false|sQ2_spl),
% 0.10/0.40 inference(forward_subsumption_resolution,[status(thm)],[f219,f232])).
% 0.10/0.40 fof(f260,plain,(
% 0.10/0.40 sQ2_spl),
% 0.10/0.40 inference(contradiction_clause,[status(thm)],[f259])).
% 0.10/0.40 fof(f261,plain,(
% 0.10/0.40 $false),
% 0.10/0.40 inference(sat_refutation,[status(thm)],[f233,f239,f260])).
% 0.10/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.42 % Elapsed time: 0.051827 seconds
% 0.10/0.42 % CPU time: 0.149490 seconds
% 0.10/0.42 % Total memory used: 84.378 MB
% 0.10/0.42 % Net memory used: 84.329 MB
%------------------------------------------------------------------------------