%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU139+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 0.15s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU139+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:53:17 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.41 fof(f2,axiom,(
% 0.15/0.41 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f3,axiom,(
% 0.15/0.41 (! [A,B] :( proper_subset(A,B)<=> ( subset(A,B)& A != B ) ) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f6,conjecture,(
% 0.15/0.41 (! [A,B] :~ ( subset(A,B)& proper_subset(B,A) ) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f7,negated_conjecture,(
% 0.15/0.41 ~((! [A,B] :~ ( subset(A,B)& proper_subset(B,A) ) ))),
% 0.15/0.41 inference(negated_conjecture,[status(cth)],[f6])).
% 0.15/0.41 fof(f10,plain,(
% 0.15/0.41 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 0.15/0.41 inference(NNF_transformation,[status(thm)],[f2])).
% 0.15/0.41 fof(f11,plain,(
% 0.15/0.41 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f10])).
% 0.15/0.41 fof(f14,plain,(
% 0.15/0.41 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/0.41 fof(f15,plain,(
% 0.15/0.41 ![A,B]: ((~proper_subset(A,B)|(subset(A,B)&~A=B))&(proper_subset(A,B)|(~subset(A,B)|A=B)))),
% 0.15/0.41 inference(NNF_transformation,[status(thm)],[f3])).
% 0.15/0.41 fof(f16,plain,(
% 0.15/0.41 (![A,B]: (~proper_subset(A,B)|(subset(A,B)&~A=B)))&(![A,B]: (proper_subset(A,B)|(~subset(A,B)|A=B)))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f15])).
% 0.15/0.41 fof(f17,plain,(
% 0.15/0.41 ![X0,X1]: (~proper_subset(X0,X1)|subset(X0,X1))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/0.41 fof(f18,plain,(
% 0.15/0.41 ![X0,X1]: (~proper_subset(X0,X1)|~X0=X1)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/0.41 fof(f24,plain,(
% 0.15/0.41 (?[A,B]: (subset(A,B)&proper_subset(B,A)))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.15/0.41 fof(f25,plain,(
% 0.15/0.41 (subset(sK0_skl,sK1_skl)&proper_subset(sK1_skl,sK0_skl))),
% 0.15/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl)],[f24])).
% 0.15/0.41 fof(f26,plain,(
% 0.15/0.41 subset(sK0_skl,sK1_skl)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.15/0.41 fof(f27,plain,(
% 0.15/0.41 proper_subset(sK1_skl,sK0_skl)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.15/0.41 fof(f30,plain,(
% 0.15/0.41 ![X0]: (~proper_subset(X0,X0))),
% 0.15/0.41 inference(destructive_equality_resolution,[status(thm)],[f18])).
% 0.15/0.41 fof(f32,plain,(
% 0.15/0.41 subset(sK1_skl,sK0_skl)),
% 0.15/0.41 inference(resolution,[status(thm)],[f17,f27])).
% 0.15/0.41 fof(f33,plain,(
% 0.15/0.41 sK0_skl=sK1_skl|~subset(sK0_skl,sK1_skl)),
% 0.15/0.41 inference(resolution,[status(thm)],[f14,f32])).
% 0.15/0.41 fof(f38,plain,(
% 0.15/0.41 proper_subset(sK1_skl,sK1_skl)),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f40,f27])).
% 0.15/0.41 fof(f40,plain,(
% 0.15/0.41 sK0_skl=sK1_skl),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f33,f26])).
% 0.15/0.41 fof(f41,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f38,f30])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.43 % Elapsed time: 0.058042 seconds
% 0.15/0.43 % CPU time: 0.158257 seconds
% 0.15/0.43 % Total memory used: 49.846 MB
% 0.15/0.43 % Net memory used: 49.574 MB
%------------------------------------------------------------------------------