%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU123+1 : 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 : n006.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 02:21:43 PM UTC 2026
% Result : Theorem 0.15s 0.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU123+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n006.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Mon Sep 21 05:51:12 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.58 % Drodi V4.1.1
% 0.15/0.59 % Refutation found
% 0.15/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.59 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.59 fof(f2,axiom,(
% 0.15/0.59 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.15/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.59 fof(f8,axiom,(
% 0.15/0.59 (! [A] : subset(empty_set,A) )),
% 0.15/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.59 fof(f9,conjecture,(
% 0.15/0.59 (! [A] :( subset(A,empty_set)=> A = empty_set ) )),
% 0.15/0.59 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.59 fof(f10,negated_conjecture,(
% 0.15/0.59 ~((! [A] :( subset(A,empty_set)=> A = empty_set ) ))),
% 0.15/0.59 inference(negated_conjecture,[status(cth)],[f9])).
% 0.15/0.59 fof(f16,plain,(
% 0.15/0.59 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 0.15/0.59 inference(NNF_transformation,[status(thm)],[f2])).
% 0.15/0.59 fof(f17,plain,(
% 0.15/0.59 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 0.15/0.59 inference(miniscoping,[status(thm)],[f16])).
% 0.15/0.59 fof(f20,plain,(
% 0.15/0.59 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.15/0.59 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/0.59 fof(f28,plain,(
% 0.15/0.59 ![X0]: (subset(empty_set,X0))),
% 0.15/0.59 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/0.59 fof(f29,plain,(
% 0.15/0.59 (?[A]: (subset(A,empty_set)&~A=empty_set))),
% 0.15/0.59 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.15/0.59 fof(f30,plain,(
% 0.15/0.59 (subset(sK2_skl,empty_set)&~sK2_skl=empty_set)),
% 0.15/0.59 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(A,sK2_skl)],[f29])).
% 0.15/0.59 fof(f31,plain,(
% 0.15/0.59 subset(sK2_skl,empty_set)),
% 0.15/0.59 inference(cnf_transformation,[status(thm)],[f30])).
% 0.15/0.59 fof(f32,plain,(
% 0.15/0.59 ~sK2_skl=empty_set),
% 0.15/0.59 inference(cnf_transformation,[status(thm)],[f30])).
% 0.15/0.59 fof(f43,plain,(
% 0.15/0.59 empty_set=sK2_skl|~subset(empty_set,sK2_skl)),
% 0.15/0.59 inference(resolution,[status(thm)],[f20,f31])).
% 0.15/0.59 fof(f45,plain,(
% 0.15/0.59 ~subset(empty_set,sK2_skl)),
% 0.15/0.59 inference(forward_subsumption_resolution,[status(thm)],[f43,f32])).
% 0.15/0.59 fof(f48,plain,(
% 0.15/0.59 $false),
% 0.15/0.59 inference(forward_subsumption_resolution,[status(thm)],[f45,f28])).
% 0.15/0.59 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.62 % Elapsed time: 0.041242 seconds
% 0.15/0.62 % CPU time: 0.118212 seconds
% 0.15/0.62 % Total memory used: 35.843 MB
% 0.15/0.62 % Net memory used: 35.466 MB
%------------------------------------------------------------------------------