%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU133+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 : n009.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 02:21:45 PM UTC 2026
% Result : Theorem 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU133+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
% 0.11/0.36 % Computer : n009.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 05:51:57 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.40 fof(f2,axiom,(
% 0.11/0.40 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f3,axiom,(
% 0.11/0.40 (! [A,B,C] :( C = set_difference(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& ~ in(D,B) ) ) )) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f10,conjecture,(
% 0.11/0.40 (! [A,B] : subset(set_difference(A,B),A) )),
% 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f11,negated_conjecture,(
% 0.11/0.40 ~((! [A,B] : subset(set_difference(A,B),A) ))),
% 0.11/0.40 inference(negated_conjecture,[status(cth)],[f10])).
% 0.11/0.40 fof(f19,plain,(
% 0.11/0.40 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.11/0.40 fof(f20,plain,(
% 0.11/0.40 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.11/0.40 inference(NNF_transformation,[status(thm)],[f19])).
% 0.11/0.40 fof(f21,plain,(
% 0.11/0.40 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f20])).
% 0.11/0.40 fof(f22,plain,(
% 0.11/0.40 (![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))))),
% 0.11/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f21])).
% 0.11/0.40 fof(f24,plain,(
% 0.11/0.40 ![X0,X1]: (subset(X0,X1)|in(sK0_skl(X1,X0),X0))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.11/0.40 fof(f25,plain,(
% 0.11/0.40 ![X0,X1]: (subset(X0,X1)|~in(sK0_skl(X1,X0),X1))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.11/0.40 fof(f26,plain,(
% 0.11/0.40 ![A,B,C]: ((~C=set_difference(A,B)|(![D]: ((~in(D,C)|(in(D,A)&~in(D,B)))&(in(D,C)|(~in(D,A)|in(D,B))))))&(C=set_difference(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))))),
% 0.11/0.40 inference(NNF_transformation,[status(thm)],[f3])).
% 0.11/0.40 fof(f27,plain,(
% 0.11/0.40 (![A,B,C]: (~C=set_difference(A,B)|((![D]: (~in(D,C)|(in(D,A)&~in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|in(D,B)))))))&(![A,B,C]: (C=set_difference(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f26])).
% 0.11/0.40 fof(f28,plain,(
% 0.11/0.40 (![A,B,C]: (~C=set_difference(A,B)|((![D]: (~in(D,C)|(in(D,A)&~in(D,B))))&(![D]: (in(D,C)|(~in(D,A)|in(D,B)))))))&(![A,B,C]: (C=set_difference(A,B)|((~in(sK1_skl(C,B,A),C)|(~in(sK1_skl(C,B,A),A)|in(sK1_skl(C,B,A),B)))&(in(sK1_skl(C,B,A),C)|(in(sK1_skl(C,B,A),A)&~in(sK1_skl(C,B,A),B))))))),
% 0.11/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B,A))],[f27])).
% 0.11/0.40 fof(f29,plain,(
% 0.11/0.40 ![X0,X1,X2,X3]: (~X0=set_difference(X1,X2)|~in(X3,X0)|in(X3,X1))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.11/0.40 fof(f42,plain,(
% 0.11/0.40 (?[A,B]: ~subset(set_difference(A,B),A))),
% 0.11/0.40 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.11/0.40 fof(f43,plain,(
% 0.11/0.40 ~subset(set_difference(sK4_skl,sK5_skl),sK4_skl)),
% 0.11/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl]),skolemize(A,sK4_skl),skolemize(B,sK5_skl)],[f42])).
% 0.11/0.40 fof(f44,plain,(
% 0.11/0.40 ~subset(set_difference(sK4_skl,sK5_skl),sK4_skl)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f43])).
% 0.11/0.40 fof(f55,plain,(
% 0.11/0.40 ![X0,X1,X2]: (~in(X0,set_difference(X1,X2))|in(X0,X1))),
% 0.11/0.40 inference(destructive_equality_resolution,[status(thm)],[f29])).
% 0.11/0.40 fof(f70,plain,(
% 0.11/0.40 ![X0,X1,X2]: (subset(set_difference(X0,X1),X2)|in(sK0_skl(X2,set_difference(X0,X1)),X0))),
% 0.11/0.40 inference(resolution,[status(thm)],[f24,f55])).
% 0.11/0.40 fof(f124,plain,(
% 0.11/0.40 ![X0,X1]: (subset(set_difference(X0,X1),X0)|subset(set_difference(X0,X1),X0))),
% 0.11/0.40 inference(resolution,[status(thm)],[f70,f25])).
% 0.11/0.40 fof(f135,plain,(
% 0.11/0.40 ![X0,X1]: (subset(set_difference(X0,X1),X0))),
% 0.11/0.40 inference(duplicate_literals_removal,[status(thm)],[f124])).
% 0.11/0.40 fof(f136,plain,(
% 0.11/0.40 $false),
% 0.11/0.40 inference(backward_subsumption_resolution,[status(thm)],[f44,f135])).
% 0.11/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.48 % Elapsed time: 0.103920 seconds
% 0.15/0.48 % CPU time: 0.162299 seconds
% 0.15/0.48 % Total memory used: 29.063 MB
% 0.15/0.48 % Net memory used: 28.972 MB
%------------------------------------------------------------------------------