%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU121+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 : n016.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 0.16s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU121+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n016.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 05:55:52 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.16/0.48 % Refutation found
% 0.16/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.48 fof(f2,axiom,(
% 0.16/0.48 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f8,conjecture,(
% 0.16/0.48 (! [A,B,C] :( ( subset(A,B)& subset(B,C) )=> subset(A,C) ) )),
% 0.16/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f9,negated_conjecture,(
% 0.16/0.48 ~((! [A,B,C] :( ( subset(A,B)& subset(B,C) )=> subset(A,C) ) ))),
% 0.16/0.48 inference(negated_conjecture,[status(cth)],[f8])).
% 0.16/0.48 fof(f15,plain,(
% 0.16/0.48 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.16/0.48 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.16/0.48 fof(f16,plain,(
% 0.16/0.48 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.16/0.48 inference(NNF_transformation,[status(thm)],[f15])).
% 0.16/0.48 fof(f17,plain,(
% 0.16/0.48 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f16])).
% 0.16/0.48 fof(f18,plain,(
% 0.16/0.48 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK0_skl(B,A),A)&~in(sK0_skl(B,A),B))))),
% 0.16/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f17])).
% 0.16/0.48 fof(f19,plain,(
% 0.16/0.48 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f18])).
% 0.16/0.48 fof(f20,plain,(
% 0.16/0.48 ![X0,X1]: (subset(X0,X1)|in(sK0_skl(X1,X0),X0))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f18])).
% 0.16/0.48 fof(f21,plain,(
% 0.16/0.48 ![X0,X1]: (subset(X0,X1)|~in(sK0_skl(X1,X0),X1))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f18])).
% 0.16/0.48 fof(f29,plain,(
% 0.16/0.48 (?[A,B,C]: ((subset(A,B)&subset(B,C))&~subset(A,C)))),
% 0.16/0.48 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.16/0.48 fof(f30,plain,(
% 0.16/0.48 ?[A,C]: ((?[B]: (subset(A,B)&subset(B,C)))&~subset(A,C))),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f29])).
% 0.16/0.48 fof(f31,plain,(
% 0.16/0.48 ((subset(sK3_skl,sK5_skl)&subset(sK5_skl,sK4_skl))&~subset(sK3_skl,sK4_skl))),
% 0.16/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(A,sK3_skl),skolemize(C,sK4_skl),skolemize(B,sK5_skl)],[f30])).
% 0.16/0.48 fof(f32,plain,(
% 0.16/0.48 subset(sK3_skl,sK5_skl)),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f31])).
% 0.16/0.48 fof(f33,plain,(
% 0.16/0.48 subset(sK5_skl,sK4_skl)),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f31])).
% 0.16/0.48 fof(f34,plain,(
% 0.16/0.48 ~subset(sK3_skl,sK4_skl)),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f31])).
% 0.16/0.48 fof(f43,plain,(
% 0.16/0.48 ![X0]: (~in(X0,sK5_skl)|in(X0,sK4_skl))),
% 0.16/0.48 inference(resolution,[status(thm)],[f19,f33])).
% 0.16/0.48 fof(f44,plain,(
% 0.16/0.48 ![X0]: (~in(X0,sK3_skl)|in(X0,sK5_skl))),
% 0.16/0.48 inference(resolution,[status(thm)],[f19,f32])).
% 0.16/0.48 fof(f46,plain,(
% 0.16/0.48 ![X0]: (subset(sK3_skl,X0)|in(sK0_skl(X0,sK3_skl),sK5_skl))),
% 0.16/0.48 inference(resolution,[status(thm)],[f20,f44])).
% 0.16/0.48 fof(f59,plain,(
% 0.16/0.48 ![X0]: (subset(sK3_skl,X0)|in(sK0_skl(X0,sK3_skl),sK4_skl))),
% 0.16/0.48 inference(resolution,[status(thm)],[f46,f43])).
% 0.16/0.48 fof(f67,plain,(
% 0.16/0.48 subset(sK3_skl,sK4_skl)|subset(sK3_skl,sK4_skl)),
% 0.16/0.48 inference(resolution,[status(thm)],[f59,f21])).
% 0.16/0.48 fof(f70,plain,(
% 0.16/0.48 subset(sK3_skl,sK4_skl)),
% 0.16/0.48 inference(duplicate_literals_removal,[status(thm)],[f67])).
% 0.16/0.48 fof(f71,plain,(
% 0.16/0.48 $false),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f70,f34])).
% 0.16/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.51 % Elapsed time: 0.065504 seconds
% 0.16/0.51 % CPU time: 0.173506 seconds
% 0.16/0.51 % Total memory used: 79.975 MB
% 0.16/0.51 % Net memory used: 79.540 MB
%------------------------------------------------------------------------------