%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET072+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 02:11:26 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET072+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 04:50:18 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f4,axiom,(
% 0.13/0.39 (! [U,X,Y] :( member(U,unordered_pair(X,Y))<=> ( member(U,universal_class)& ( U = X| U = Y ) ) ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,axiom,(
% 0.13/0.39 (! [X] : singleton(X) = unordered_pair(X,X) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f44,conjecture,(
% 0.13/0.39 (! [X,Y,Z] :( ( member(X,universal_class)& member(Y,universal_class)& unordered_pair(X,Z) = unordered_pair(Y,Z) )=> X = Y ) )),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f45,negated_conjecture,(
% 0.13/0.39 ~((! [X,Y,Z] :( ( member(X,universal_class)& member(Y,universal_class)& unordered_pair(X,Z) = unordered_pair(Y,Z) )=> X = Y ) ))),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f44])).
% 0.13/0.39 fof(f59,plain,(
% 0.13/0.39 ![U,X,Y]: ((~member(U,unordered_pair(X,Y))|(member(U,universal_class)&(U=X|U=Y)))&(member(U,unordered_pair(X,Y))|(~member(U,universal_class)|(~U=X&~U=Y))))),
% 0.13/0.39 inference(NNF_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f60,plain,(
% 0.13/0.39 (![U,X,Y]: (~member(U,unordered_pair(X,Y))|(member(U,universal_class)&(U=X|U=Y))))&(![U,X,Y]: (member(U,unordered_pair(X,Y))|(~member(U,universal_class)|(~U=X&~U=Y))))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f59])).
% 0.13/0.39 fof(f62,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f60])).
% 0.13/0.39 fof(f63,plain,(
% 0.13/0.39 ![X0,X1,X2]: (member(X0,unordered_pair(X1,X2))|~member(X0,universal_class)|~X0=X1)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f60])).
% 0.13/0.39 fof(f66,plain,(
% 0.13/0.39 ![X0]: (singleton(X0)=unordered_pair(X0,X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f191,plain,(
% 0.13/0.39 (?[X,Y,Z]: (((member(X,universal_class)&member(Y,universal_class))&unordered_pair(X,Z)=unordered_pair(Y,Z))&~X=Y))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.13/0.39 fof(f192,plain,(
% 0.13/0.39 ?[X,Y]: (((member(X,universal_class)&member(Y,universal_class))&(?[Z]: unordered_pair(X,Z)=unordered_pair(Y,Z)))&~X=Y)),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f191])).
% 0.13/0.39 fof(f193,plain,(
% 0.13/0.39 (((member(sK7_skl,universal_class)&member(sK8_skl,universal_class))&unordered_pair(sK7_skl,sK9_skl)=unordered_pair(sK8_skl,sK9_skl))&~sK7_skl=sK8_skl)),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl,sK9_skl]),skolemize(X,sK7_skl),skolemize(Y,sK8_skl),skolemize(Z,sK9_skl)],[f192])).
% 0.13/0.39 fof(f194,plain,(
% 0.13/0.39 member(sK7_skl,universal_class)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f193])).
% 0.13/0.39 fof(f195,plain,(
% 0.13/0.39 member(sK8_skl,universal_class)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f193])).
% 0.13/0.39 fof(f196,plain,(
% 0.13/0.39 unordered_pair(sK7_skl,sK9_skl)=unordered_pair(sK8_skl,sK9_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f193])).
% 0.13/0.39 fof(f197,plain,(
% 0.13/0.39 ~sK7_skl=sK8_skl),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f193])).
% 0.13/0.39 fof(f200,plain,(
% 0.13/0.39 ![X0,X1]: (member(X0,unordered_pair(X0,X1))|~member(X0,universal_class))),
% 0.13/0.39 inference(destructive_equality_resolution,[status(thm)],[f63])).
% 0.13/0.39 fof(f209,plain,(
% 0.13/0.39 member(sK8_skl,unordered_pair(sK7_skl,sK9_skl))|~member(sK8_skl,universal_class)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f196,f200])).
% 0.13/0.39 fof(f213,plain,(
% 0.13/0.39 member(sK8_skl,unordered_pair(sK7_skl,sK9_skl))),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f209,f195])).
% 0.13/0.39 fof(f225,plain,(
% 0.13/0.39 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f66,f62])).
% 0.13/0.39 fof(f227,plain,(
% 0.13/0.39 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.13/0.39 inference(duplicate_literals_removal,[status(thm)],[f225])).
% 0.13/0.39 fof(f229,plain,(
% 0.13/0.39 sK8_skl=sK7_skl|sK8_skl=sK9_skl),
% 0.13/0.39 inference(resolution,[status(thm)],[f213,f62])).
% 0.13/0.39 fof(f230,plain,(
% 0.13/0.39 sK8_skl=sK9_skl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f229,f197])).
% 0.13/0.39 fof(f238,plain,(
% 0.13/0.39 unordered_pair(sK7_skl,sK9_skl)=unordered_pair(sK8_skl,sK8_skl)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f230,f196])).
% 0.13/0.39 fof(f241,plain,(
% 0.13/0.39 unordered_pair(sK7_skl,sK8_skl)=unordered_pair(sK8_skl,sK8_skl)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f230,f238])).
% 0.13/0.40 fof(f242,plain,(
% 0.13/0.40 unordered_pair(sK7_skl,sK8_skl)=singleton(sK8_skl)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f66,f241])).
% 0.13/0.40 fof(f245,plain,(
% 0.13/0.40 member(sK7_skl,singleton(sK8_skl))|~member(sK7_skl,universal_class)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f242,f200])).
% 0.13/0.40 fof(f250,plain,(
% 0.13/0.40 member(sK7_skl,singleton(sK8_skl))),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f245,f194])).
% 0.13/0.40 fof(f301,plain,(
% 0.13/0.40 sK7_skl=sK8_skl),
% 0.13/0.40 inference(resolution,[status(thm)],[f250,f227])).
% 0.13/0.40 fof(f302,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f301,f197])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.060142 seconds
% 0.13/0.42 % CPU time: 0.161142 seconds
% 0.13/0.42 % Total memory used: 104.735 MB
% 0.13/0.42 % Net memory used: 104.644 MB
%------------------------------------------------------------------------------