%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU128+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 : n001.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 02:21:44 PM UTC 2026
% Result : Theorem 0.14s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU128+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
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 05:57:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.14/0.47 % Refutation found
% 0.14/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.47 fof(f2,axiom,(
% 0.14/0.47 (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f3,axiom,(
% 0.14/0.47 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f4,axiom,(
% 0.14/0.47 (! [A,B,C] :( C = set_intersection2(A,B)<=> (! [D] :( in(D,C)<=> ( in(D,A)& in(D,B) ) ) )) )),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f12,conjecture,(
% 0.14/0.47 (! [A,B,C] :( ( subset(A,B)& subset(A,C) )=> subset(A,set_intersection2(B,C)) ) )),
% 0.14/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.47 fof(f13,negated_conjecture,(
% 0.14/0.47 ~((! [A,B,C] :( ( subset(A,B)& subset(A,C) )=> subset(A,set_intersection2(B,C)) ) ))),
% 0.14/0.47 inference(negated_conjecture,[status(cth)],[f12])).
% 0.14/0.47 fof(f20,plain,(
% 0.14/0.47 ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 0.14/0.47 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.47 fof(f21,plain,(
% 0.14/0.47 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.14/0.47 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.14/0.47 fof(f22,plain,(
% 0.14/0.47 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.14/0.47 inference(NNF_transformation,[status(thm)],[f21])).
% 0.14/0.47 fof(f23,plain,(
% 0.14/0.47 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.14/0.47 inference(miniscoping,[status(thm)],[f22])).
% 0.14/0.47 fof(f24,plain,(
% 0.14/0.47 (![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))))),
% 0.14/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f23])).
% 0.14/0.47 fof(f25,plain,(
% 0.14/0.47 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 0.14/0.47 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.47 fof(f26,plain,(
% 0.14/0.47 ![X0,X1]: (subset(X0,X1)|in(sK0_skl(X1,X0),X0))),
% 0.14/0.47 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.47 fof(f27,plain,(
% 0.14/0.47 ![X0,X1]: (subset(X0,X1)|~in(sK0_skl(X1,X0),X1))),
% 0.14/0.47 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.47 fof(f28,plain,(
% 0.14/0.47 ![A,B,C]: ((~C=set_intersection2(A,B)|(![D]: ((~in(D,C)|(in(D,A)&in(D,B)))&(in(D,C)|(~in(D,A)|~in(D,B))))))&(C=set_intersection2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))))),
% 0.14/0.47 inference(NNF_transformation,[status(thm)],[f4])).
% 0.14/0.47 fof(f29,plain,(
% 0.14/0.47 (![A,B,C]: (~C=set_intersection2(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_intersection2(A,B)|(?[D]: ((~in(D,C)|(~in(D,A)|~in(D,B)))&(in(D,C)|(in(D,A)&in(D,B)))))))),
% 0.14/0.47 inference(miniscoping,[status(thm)],[f28])).
% 0.14/0.47 fof(f30,plain,(
% 0.14/0.47 (![A,B,C]: (~C=set_intersection2(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_intersection2(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))))))),
% 0.14/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(D,sK1_skl(C,B,A))],[f29])).
% 0.14/0.47 fof(f33,plain,(
% 0.14/0.47 ![X0,X1,X2,X3]: (~X0=set_intersection2(X1,X2)|in(X3,X0)|~in(X3,X1)|~in(X3,X2))),
% 0.14/0.47 inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.47 fof(f46,plain,(
% 0.14/0.47 (?[A,B,C]: ((subset(A,B)&subset(A,C))&~subset(A,set_intersection2(B,C))))),
% 0.14/0.47 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.14/0.47 fof(f47,plain,(
% 0.14/0.47 ((subset(sK4_skl,sK5_skl)&subset(sK4_skl,sK6_skl))&~subset(sK4_skl,set_intersection2(sK5_skl,sK6_skl)))),
% 0.14/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl,sK5_skl,sK6_skl]),skolemize(A,sK4_skl),skolemize(B,sK5_skl),skolemize(C,sK6_skl)],[f46])).
% 0.14/0.47 fof(f48,plain,(
% 0.14/0.47 subset(sK4_skl,sK5_skl)),
% 0.14/0.47 inference(cnf_transformation,[status(thm)],[f47])).
% 0.14/0.47 fof(f49,plain,(
% 0.14/0.47 subset(sK4_skl,sK6_skl)),
% 0.14/0.47 inference(cnf_transformation,[status(thm)],[f47])).
% 0.14/0.47 fof(f50,plain,(
% 0.14/0.47 ~subset(sK4_skl,set_intersection2(sK5_skl,sK6_skl))),
% 0.14/0.47 inference(cnf_transformation,[status(thm)],[f47])).
% 0.14/0.47 fof(f62,plain,(
% 0.14/0.47 ![X0,X1,X2]: (in(X0,set_intersection2(X1,X2))|~in(X0,X1)|~in(X0,X2))),
% 0.14/0.48 inference(destructive_equality_resolution,[status(thm)],[f33])).
% 0.14/0.48 fof(f73,plain,(
% 0.14/0.48 ![X0]: (~in(X0,sK4_skl)|in(X0,sK6_skl))),
% 0.14/0.48 inference(resolution,[status(thm)],[f25,f49])).
% 0.14/0.48 fof(f74,plain,(
% 0.14/0.48 ![X0]: (~in(X0,sK4_skl)|in(X0,sK5_skl))),
% 0.14/0.48 inference(resolution,[status(thm)],[f25,f48])).
% 0.14/0.48 fof(f102,plain,(
% 0.14/0.48 ![X0]: (subset(sK4_skl,X0)|in(sK0_skl(X0,sK4_skl),sK5_skl))),
% 0.14/0.48 inference(resolution,[status(thm)],[f26,f74])).
% 0.14/0.48 fof(f103,plain,(
% 0.14/0.48 ![X0]: (subset(sK4_skl,X0)|in(sK0_skl(X0,sK4_skl),sK6_skl))),
% 0.14/0.48 inference(resolution,[status(thm)],[f26,f73])).
% 0.14/0.48 fof(f113,plain,(
% 0.14/0.48 ![X0,X1]: (subset(sK4_skl,X0)|in(sK0_skl(X0,sK4_skl),set_intersection2(X1,sK5_skl))|~in(sK0_skl(X0,sK4_skl),X1))),
% 0.14/0.48 inference(resolution,[status(thm)],[f102,f62])).
% 0.14/0.48 fof(f120,plain,(
% 0.14/0.48 ![X0]: (subset(sK4_skl,X0)|in(sK0_skl(X0,sK4_skl),set_intersection2(sK6_skl,sK5_skl))|subset(sK4_skl,X0))),
% 0.14/0.48 inference(resolution,[status(thm)],[f113,f103])).
% 0.14/0.48 fof(f123,plain,(
% 0.14/0.48 ![X0]: (subset(sK4_skl,X0)|in(sK0_skl(X0,sK4_skl),set_intersection2(sK6_skl,sK5_skl)))),
% 0.14/0.48 inference(duplicate_literals_removal,[status(thm)],[f120])).
% 0.14/0.48 fof(f134,plain,(
% 0.14/0.48 ![X0]: (subset(sK4_skl,X0)|in(sK0_skl(X0,sK4_skl),set_intersection2(sK5_skl,sK6_skl)))),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f20,f123])).
% 0.14/0.48 fof(f148,plain,(
% 0.14/0.48 subset(sK4_skl,set_intersection2(sK5_skl,sK6_skl))|subset(sK4_skl,set_intersection2(sK5_skl,sK6_skl))),
% 0.14/0.48 inference(resolution,[status(thm)],[f134,f27])).
% 0.14/0.48 fof(f155,plain,(
% 0.14/0.48 subset(sK4_skl,set_intersection2(sK5_skl,sK6_skl))),
% 0.14/0.48 inference(duplicate_literals_removal,[status(thm)],[f148])).
% 0.14/0.48 fof(f156,plain,(
% 0.14/0.48 $false),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f155,f50])).
% 0.14/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.49 % Elapsed time: 0.116402 seconds
% 0.14/0.49 % CPU time: 0.681285 seconds
% 0.14/0.49 % Total memory used: 107.019 MB
% 0.14/0.49 % Net memory used: 105.815 MB
%------------------------------------------------------------------------------