%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU159+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 : n005.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 02:21:50 PM UTC 2026
% Result : Theorem 0.13s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU159+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n005.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 05:53:17 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.56 % Refutation found
% 0.13/0.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.56 fof(f10,axiom,(
% 0.13/0.56 (! [A,B,C] :( C = unordered_pair(A,B)<=> (! [D] :( in(D,C)<=> ( D = A| D = B ) ) )) )),
% 0.13/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f13,axiom,(
% 0.13/0.56 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.13/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f68,conjecture,(
% 0.13/0.56 (! [A,B,C] :( subset(unordered_pair(A,B),C)<=> ( in(A,C)& in(B,C) ) ) )),
% 0.13/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.56 fof(f69,negated_conjecture,(
% 0.13/0.56 ~((! [A,B,C] :( subset(unordered_pair(A,B),C)<=> ( in(A,C)& in(B,C) ) ) ))),
% 0.13/0.56 inference(negated_conjecture,[status(cth)],[f68])).
% 0.13/0.56 fof(f122,plain,(
% 0.13/0.56 ![A,B,C]: ((~C=unordered_pair(A,B)|(![D]: ((~in(D,C)|(D=A|D=B))&(in(D,C)|(~D=A&~D=B)))))&(C=unordered_pair(A,B)|(?[D]: ((~in(D,C)|(~D=A&~D=B))&(in(D,C)|(D=A|D=B))))))),
% 0.13/0.56 inference(NNF_transformation,[status(thm)],[f10])).
% 0.13/0.56 fof(f123,plain,(
% 0.13/0.56 (![A,B,C]: (~C=unordered_pair(A,B)|((![D]: (~in(D,C)|(D=A|D=B)))&(![D]: (in(D,C)|(~D=A&~D=B))))))&(![A,B,C]: (C=unordered_pair(A,B)|(?[D]: ((~in(D,C)|(~D=A&~D=B))&(in(D,C)|(D=A|D=B))))))),
% 0.13/0.56 inference(miniscoping,[status(thm)],[f122])).
% 0.13/0.56 fof(f124,plain,(
% 0.13/0.56 (![A,B,C]: (~C=unordered_pair(A,B)|((![D]: (~in(D,C)|(D=A|D=B)))&(![D]: (in(D,C)|(~D=A&~D=B))))))&(![A,B,C]: (C=unordered_pair(A,B)|((~in(sK3_skl(C,B,A),C)|(~sK3_skl(C,B,A)=A&~sK3_skl(C,B,A)=B))&(in(sK3_skl(C,B,A),C)|(sK3_skl(C,B,A)=A|sK3_skl(C,B,A)=B)))))),
% 0.13/0.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(D,sK3_skl(C,B,A))],[f123])).
% 0.13/0.56 fof(f125,plain,(
% 0.13/0.56 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|~in(X3,X0)|X3=X1|X3=X2)),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f124])).
% 0.13/0.56 fof(f126,plain,(
% 0.13/0.56 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|in(X3,X0)|~X3=X1)),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f124])).
% 0.13/0.56 fof(f127,plain,(
% 0.13/0.56 ![X0,X1,X2,X3]: (~X0=unordered_pair(X1,X2)|in(X3,X0)|~X3=X2)),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f124])).
% 0.13/0.56 fof(f149,plain,(
% 0.13/0.56 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.13/0.56 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.13/0.56 fof(f150,plain,(
% 0.13/0.56 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.13/0.56 inference(NNF_transformation,[status(thm)],[f149])).
% 0.13/0.56 fof(f151,plain,(
% 0.13/0.56 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.13/0.56 inference(miniscoping,[status(thm)],[f150])).
% 0.13/0.56 fof(f152,plain,(
% 0.13/0.56 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK10_skl(B,A),A)&~in(sK10_skl(B,A),B))))),
% 0.13/0.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(C,sK10_skl(B,A))],[f151])).
% 0.13/0.56 fof(f153,plain,(
% 0.13/0.56 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f152])).
% 0.13/0.56 fof(f154,plain,(
% 0.13/0.56 ![X0,X1]: (subset(X0,X1)|in(sK10_skl(X1,X0),X0))),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f152])).
% 0.13/0.56 fof(f155,plain,(
% 0.13/0.56 ![X0,X1]: (subset(X0,X1)|~in(sK10_skl(X1,X0),X1))),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f152])).
% 0.13/0.56 fof(f285,plain,(
% 0.13/0.56 (?[A,B,C]: (subset(unordered_pair(A,B),C)<~>(in(A,C)&in(B,C))))),
% 0.13/0.56 inference(pre_NNF_transformation,[status(thm)],[f69])).
% 0.13/0.56 fof(f286,plain,(
% 0.13/0.56 ?[A,B,C]: ((subset(unordered_pair(A,B),C)|(in(A,C)&in(B,C)))&(~subset(unordered_pair(A,B),C)|(~in(A,C)|~in(B,C))))),
% 0.13/0.56 inference(NNF_transformation,[status(thm)],[f285])).
% 0.13/0.56 fof(f287,plain,(
% 0.13/0.56 ((subset(unordered_pair(sK19_skl,sK20_skl),sK21_skl)|(in(sK19_skl,sK21_skl)&in(sK20_skl,sK21_skl)))&(~subset(unordered_pair(sK19_skl,sK20_skl),sK21_skl)|(~in(sK19_skl,sK21_skl)|~in(sK20_skl,sK21_skl))))),
% 0.13/0.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl,sK20_skl,sK21_skl]),skolemize(A,sK19_skl),skolemize(B,sK20_skl),skolemize(C,sK21_skl)],[f286])).
% 0.13/0.56 fof(f288,plain,(
% 0.13/0.56 subset(unordered_pair(sK19_skl,sK20_skl),sK21_skl)|in(sK19_skl,sK21_skl)),
% 0.13/0.56 inference(cnf_transformation,[status(thm)],[f287])).
% 0.13/0.56 fof(f289,plain,(
% 0.13/0.56 subset(unordered_pair(sK19_skl,sK20_skl),sK21_skl)|in(sK20_skl,sK21_skl)),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f287])).
% 0.13/0.57 fof(f290,plain,(
% 0.13/0.57 ~subset(unordered_pair(sK19_skl,sK20_skl),sK21_skl)|~in(sK19_skl,sK21_skl)|~in(sK20_skl,sK21_skl)),
% 0.13/0.57 inference(cnf_transformation,[status(thm)],[f287])).
% 0.13/0.57 fof(f353,plain,(
% 0.13/0.57 ![X0,X1,X2]: (~in(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.13/0.57 inference(destructive_equality_resolution,[status(thm)],[f125])).
% 0.13/0.57 fof(f354,plain,(
% 0.13/0.57 ![X0,X1]: (in(X0,unordered_pair(X0,X1)))),
% 0.13/0.57 inference(destructive_equality_resolution,[status(thm)],[f126])).
% 0.13/0.57 fof(f355,plain,(
% 0.13/0.57 ![X0,X1]: (in(X0,unordered_pair(X1,X0)))),
% 0.13/0.57 inference(destructive_equality_resolution,[status(thm)],[f127])).
% 0.13/0.57 fof(f401,plain,(
% 0.13/0.57 ![X0]: (~in(X0,unordered_pair(sK19_skl,sK20_skl))|in(X0,sK21_skl)|in(sK20_skl,sK21_skl))),
% 0.13/0.57 inference(resolution,[status(thm)],[f153,f289])).
% 0.13/0.57 fof(f402,plain,(
% 0.13/0.57 ![X0]: (~in(X0,unordered_pair(sK19_skl,sK20_skl))|in(X0,sK21_skl)|in(sK19_skl,sK21_skl))),
% 0.13/0.57 inference(resolution,[status(thm)],[f153,f288])).
% 0.13/0.57 fof(f443,plain,(
% 0.13/0.57 in(sK20_skl,sK21_skl)|in(sK20_skl,sK21_skl)),
% 0.13/0.57 inference(resolution,[status(thm)],[f401,f355])).
% 0.13/0.57 fof(f445,plain,(
% 0.13/0.57 in(sK20_skl,sK21_skl)),
% 0.13/0.57 inference(duplicate_literals_removal,[status(thm)],[f443])).
% 0.13/0.57 fof(f450,plain,(
% 0.13/0.57 in(sK19_skl,sK21_skl)|in(sK19_skl,sK21_skl)),
% 0.13/0.57 inference(resolution,[status(thm)],[f402,f354])).
% 0.13/0.57 fof(f451,plain,(
% 0.13/0.57 in(sK19_skl,sK21_skl)),
% 0.13/0.57 inference(duplicate_literals_removal,[status(thm)],[f450])).
% 0.13/0.57 fof(f454,plain,(
% 0.13/0.57 ~subset(unordered_pair(sK19_skl,sK20_skl),sK21_skl)|~in(sK19_skl,sK21_skl)),
% 0.13/0.57 inference(backward_subsumption_resolution,[status(thm)],[f290,f445])).
% 0.13/0.57 fof(f504,plain,(
% 0.13/0.57 ~subset(unordered_pair(sK19_skl,sK20_skl),sK21_skl)),
% 0.13/0.57 inference(backward_subsumption_resolution,[status(thm)],[f454,f451])).
% 0.13/0.57 fof(f627,plain,(
% 0.13/0.57 ![X0,X1,X2]: (subset(unordered_pair(X0,X1),X2)|sK10_skl(X2,unordered_pair(X0,X1))=X0|sK10_skl(X2,unordered_pair(X0,X1))=X1)),
% 0.13/0.57 inference(resolution,[status(thm)],[f154,f353])).
% 0.13/0.57 fof(f1617,plain,(
% 0.13/0.57 sK10_skl(sK21_skl,unordered_pair(sK19_skl,sK20_skl))=sK19_skl|sK10_skl(sK21_skl,unordered_pair(sK19_skl,sK20_skl))=sK20_skl),
% 0.13/0.57 inference(resolution,[status(thm)],[f627,f504])).
% 0.13/0.57 fof(f1702,plain,(
% 0.13/0.57 subset(unordered_pair(sK19_skl,sK20_skl),sK21_skl)|~in(sK20_skl,sK21_skl)|sK10_skl(sK21_skl,unordered_pair(sK19_skl,sK20_skl))=sK19_skl),
% 0.13/0.57 inference(paramodulation,[status(thm)],[f1617,f155])).
% 0.13/0.57 fof(f1705,plain,(
% 0.13/0.57 ~in(sK20_skl,sK21_skl)|sK10_skl(sK21_skl,unordered_pair(sK19_skl,sK20_skl))=sK19_skl),
% 0.13/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1702,f504])).
% 0.13/0.57 fof(f1707,plain,(
% 0.13/0.57 sK10_skl(sK21_skl,unordered_pair(sK19_skl,sK20_skl))=sK19_skl),
% 0.13/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1705,f445])).
% 0.13/0.57 fof(f1709,plain,(
% 0.13/0.57 subset(unordered_pair(sK19_skl,sK20_skl),sK21_skl)|~in(sK19_skl,sK21_skl)),
% 0.13/0.57 inference(paramodulation,[status(thm)],[f1707,f155])).
% 0.13/0.57 fof(f1711,plain,(
% 0.13/0.57 ~in(sK19_skl,sK21_skl)),
% 0.13/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1709,f504])).
% 0.13/0.57 fof(f1712,plain,(
% 0.13/0.57 $false),
% 0.13/0.57 inference(forward_subsumption_resolution,[status(thm)],[f1711,f451])).
% 0.13/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.87/0.58 % Elapsed time: 0.209501 seconds
% 0.87/0.58 % CPU time: 1.355186 seconds
% 0.87/0.58 % Total memory used: 123.959 MB
% 0.87/0.58 % Net memory used: 121.530 MB
%------------------------------------------------------------------------------