%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU121+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 : n011.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 0.19s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU121+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n011.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 05:51:10 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 0.19/0.51 % Refutation found
% 0.19/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.51 fof(f4,axiom,(
% 0.19/0.51 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.19/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f15,conjecture,(
% 0.19/0.51 (! [A,B,C] :( ( subset(A,B)& subset(B,C) )=> subset(A,C) ) )),
% 0.19/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.51 fof(f16,negated_conjecture,(
% 0.19/0.51 ~((! [A,B,C] :( ( subset(A,B)& subset(B,C) )=> subset(A,C) ) ))),
% 0.19/0.51 inference(negated_conjecture,[status(cth)],[f15])).
% 0.19/0.51 fof(f30,plain,(
% 0.19/0.51 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.19/0.51 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.19/0.51 fof(f31,plain,(
% 0.19/0.51 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.19/0.51 inference(NNF_transformation,[status(thm)],[f30])).
% 0.19/0.51 fof(f32,plain,(
% 0.19/0.51 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.19/0.51 inference(miniscoping,[status(thm)],[f31])).
% 0.19/0.51 fof(f33,plain,(
% 0.19/0.51 (![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))))),
% 0.19/0.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(C,sK1_skl(B,A))],[f32])).
% 0.19/0.51 fof(f34,plain,(
% 0.19/0.51 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 0.19/0.51 inference(cnf_transformation,[status(thm)],[f33])).
% 0.19/0.51 fof(f35,plain,(
% 0.19/0.51 ![X0,X1]: (subset(X0,X1)|in(sK1_skl(X1,X0),X0))),
% 0.19/0.51 inference(cnf_transformation,[status(thm)],[f33])).
% 0.19/0.51 fof(f36,plain,(
% 0.19/0.51 ![X0,X1]: (subset(X0,X1)|~in(sK1_skl(X1,X0),X1))),
% 0.19/0.51 inference(cnf_transformation,[status(thm)],[f33])).
% 0.19/0.51 fof(f61,plain,(
% 0.19/0.51 (?[A,B,C]: ((subset(A,B)&subset(B,C))&~subset(A,C)))),
% 0.19/0.51 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.19/0.51 fof(f62,plain,(
% 0.19/0.51 ?[A,C]: ((?[B]: (subset(A,B)&subset(B,C)))&~subset(A,C))),
% 0.19/0.51 inference(miniscoping,[status(thm)],[f61])).
% 0.19/0.51 fof(f63,plain,(
% 0.19/0.51 ((subset(sK5_skl,sK7_skl)&subset(sK7_skl,sK6_skl))&~subset(sK5_skl,sK6_skl))),
% 0.19/0.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl,sK6_skl,sK7_skl]),skolemize(A,sK5_skl),skolemize(C,sK6_skl),skolemize(B,sK7_skl)],[f62])).
% 0.19/0.51 fof(f64,plain,(
% 0.19/0.51 subset(sK5_skl,sK7_skl)),
% 0.19/0.51 inference(cnf_transformation,[status(thm)],[f63])).
% 0.19/0.51 fof(f65,plain,(
% 0.19/0.51 subset(sK7_skl,sK6_skl)),
% 0.19/0.51 inference(cnf_transformation,[status(thm)],[f63])).
% 0.19/0.51 fof(f66,plain,(
% 0.19/0.51 ~subset(sK5_skl,sK6_skl)),
% 0.19/0.51 inference(cnf_transformation,[status(thm)],[f63])).
% 0.19/0.51 fof(f111,plain,(
% 0.19/0.51 ![X0,X1,X2]: (subset(X0,X1)|~subset(X2,X1)|~in(sK1_skl(X1,X0),X2))),
% 0.19/0.51 inference(resolution,[status(thm)],[f36,f34])).
% 0.19/0.51 fof(f127,plain,(
% 0.19/0.51 ![X0,X1,X2,X3]: (subset(X0,X1)|~subset(X2,X1)|~subset(X3,X2)|~in(sK1_skl(X1,X0),X3))),
% 0.19/0.51 inference(resolution,[status(thm)],[f111,f34])).
% 0.19/0.51 fof(f159,plain,(
% 0.19/0.51 ![X0,X1,X2]: (subset(X0,X1)|~subset(X2,X1)|~subset(X0,X2)|subset(X0,X1))),
% 0.19/0.51 inference(resolution,[status(thm)],[f127,f35])).
% 0.19/0.51 fof(f161,plain,(
% 0.19/0.51 ![X0,X1,X2]: (subset(X0,X1)|~subset(X2,X1)|~subset(X0,X2))),
% 0.19/0.51 inference(duplicate_literals_removal,[status(thm)],[f159])).
% 0.19/0.51 fof(f264,plain,(
% 0.19/0.51 ![X0]: (subset(X0,sK6_skl)|~subset(X0,sK7_skl))),
% 0.19/0.51 inference(resolution,[status(thm)],[f161,f65])).
% 0.19/0.51 fof(f270,plain,(
% 0.19/0.51 subset(sK5_skl,sK6_skl)),
% 0.19/0.51 inference(resolution,[status(thm)],[f264,f64])).
% 0.19/0.51 fof(f272,plain,(
% 0.19/0.51 $false),
% 0.19/0.51 inference(forward_subsumption_resolution,[status(thm)],[f270,f66])).
% 0.19/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.26/0.55 % Elapsed time: 0.079365 seconds
% 0.26/0.55 % CPU time: 0.278479 seconds
% 0.26/0.55 % Total memory used: 100.097 MB
% 0.26/0.55 % Net memory used: 99.771 MB
%------------------------------------------------------------------------------