%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU122+2 : 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 02:21:43 PM UTC 2026
% Result : Theorem 0.11s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU122+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n020.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 05:52:17 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.39 % Refutation found
% 0.11/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.39 fof(f3,axiom,(
% 0.11/0.39 (! [A] :( A = empty_set<=> (! [B] : ~ in(B,A) )) )),
% 0.11/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f4,axiom,(
% 0.11/0.39 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.11/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f16,conjecture,(
% 0.11/0.39 (! [A] : subset(empty_set,A) )),
% 0.11/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.39 fof(f17,negated_conjecture,(
% 0.11/0.39 ~((! [A] : subset(empty_set,A) ))),
% 0.11/0.39 inference(negated_conjecture,[status(cth)],[f16])).
% 0.11/0.39 fof(f26,plain,(
% 0.11/0.39 ![A]: ((~A=empty_set|(![B]: ~in(B,A)))&(A=empty_set|(?[B]: in(B,A))))),
% 0.11/0.39 inference(NNF_transformation,[status(thm)],[f3])).
% 0.11/0.39 fof(f27,plain,(
% 0.11/0.39 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|(?[B]: in(B,A))))),
% 0.11/0.39 inference(miniscoping,[status(thm)],[f26])).
% 0.11/0.39 fof(f28,plain,(
% 0.11/0.39 (![A]: (~A=empty_set|(![B]: ~in(B,A))))&(![A]: (A=empty_set|in(sK0_skl(A),A)))),
% 0.11/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(B,sK0_skl(A))],[f27])).
% 0.11/0.39 fof(f29,plain,(
% 0.11/0.39 ![X0,X1]: (~X0=empty_set|~in(X1,X0))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f28])).
% 0.11/0.39 fof(f31,plain,(
% 0.11/0.39 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.11/0.39 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.11/0.39 fof(f32,plain,(
% 0.11/0.39 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.11/0.39 inference(NNF_transformation,[status(thm)],[f31])).
% 0.11/0.39 fof(f33,plain,(
% 0.11/0.39 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.11/0.39 inference(miniscoping,[status(thm)],[f32])).
% 0.11/0.39 fof(f34,plain,(
% 0.11/0.39 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK1_skl(B,A),A)&~in(sK1_skl(B,A),B))))),
% 0.11/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(C,sK1_skl(B,A))],[f33])).
% 0.11/0.39 fof(f36,plain,(
% 0.11/0.39 ![X0,X1]: (subset(X0,X1)|in(sK1_skl(X1,X0),X0))),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.11/0.39 fof(f65,plain,(
% 0.11/0.39 (?[A]: ~subset(empty_set,A))),
% 0.11/0.39 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.11/0.39 fof(f66,plain,(
% 0.11/0.39 ~subset(empty_set,sK5_skl)),
% 0.11/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(A,sK5_skl)],[f65])).
% 0.11/0.39 fof(f67,plain,(
% 0.11/0.39 ~subset(empty_set,sK5_skl)),
% 0.11/0.39 inference(cnf_transformation,[status(thm)],[f66])).
% 0.11/0.39 fof(f87,plain,(
% 0.11/0.39 ![X0]: (~in(X0,empty_set))),
% 0.11/0.39 inference(destructive_equality_resolution,[status(thm)],[f29])).
% 0.11/0.39 fof(f107,plain,(
% 0.11/0.39 ![X0]: (subset(empty_set,X0))),
% 0.11/0.39 inference(resolution,[status(thm)],[f36,f87])).
% 0.11/0.39 fof(f112,plain,(
% 0.11/0.39 $false),
% 0.11/0.39 inference(backward_subsumption_resolution,[status(thm)],[f67,f107])).
% 0.11/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.046300 seconds
% 0.11/0.42 % CPU time: 0.128975 seconds
% 0.11/0.42 % Total memory used: 76.551 MB
% 0.11/0.42 % Net memory used: 76.382 MB
%------------------------------------------------------------------------------