%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET017+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 02:11:12 PM UTC 2026
% Result : Theorem 0.09s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET017+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 04:45:21 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 0.09/0.42 % Refutation found
% 0.09/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.42 fof(f4,axiom,(
% 0.09/0.42 (! [U,X,Y] :( member(U,unordered_pair(X,Y))<=> ( member(U,universal_class)& ( U = X| U = Y ) ) ) )),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f6,axiom,(
% 0.09/0.42 (! [X] : singleton(X) = unordered_pair(X,X) )),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f44,conjecture,(
% 0.09/0.42 (! [X,Y,Z] :( ( member(Y,universal_class)& member(Z,universal_class)& unordered_pair(X,Y) = unordered_pair(X,Z) )=> Y = Z ) )),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f45,negated_conjecture,(
% 0.09/0.42 ~((! [X,Y,Z] :( ( member(Y,universal_class)& member(Z,universal_class)& unordered_pair(X,Y) = unordered_pair(X,Z) )=> Y = Z ) ))),
% 0.09/0.42 inference(negated_conjecture,[status(cth)],[f44])).
% 0.09/0.42 fof(f59,plain,(
% 0.09/0.42 ![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))))),
% 0.09/0.42 inference(NNF_transformation,[status(thm)],[f4])).
% 0.09/0.42 fof(f60,plain,(
% 0.09/0.42 (![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))))),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f59])).
% 0.09/0.42 fof(f62,plain,(
% 0.09/0.42 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f60])).
% 0.09/0.42 fof(f64,plain,(
% 0.09/0.42 ![X0,X1,X2]: (member(X0,unordered_pair(X1,X2))|~member(X0,universal_class)|~X0=X2)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f60])).
% 0.09/0.42 fof(f66,plain,(
% 0.09/0.42 ![X0]: (singleton(X0)=unordered_pair(X0,X0))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.42 fof(f191,plain,(
% 0.09/0.42 (?[X,Y,Z]: (((member(Y,universal_class)&member(Z,universal_class))&unordered_pair(X,Y)=unordered_pair(X,Z))&~Y=Z))),
% 0.09/0.42 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.09/0.42 fof(f192,plain,(
% 0.09/0.42 ?[Y,Z]: (((member(Y,universal_class)&member(Z,universal_class))&(?[X]: unordered_pair(X,Y)=unordered_pair(X,Z)))&~Y=Z)),
% 0.09/0.42 inference(miniscoping,[status(thm)],[f191])).
% 0.09/0.42 fof(f193,plain,(
% 0.09/0.42 (((member(sK7_skl,universal_class)&member(sK8_skl,universal_class))&unordered_pair(sK9_skl,sK7_skl)=unordered_pair(sK9_skl,sK8_skl))&~sK7_skl=sK8_skl)),
% 0.09/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl,sK9_skl]),skolemize(Y,sK7_skl),skolemize(Z,sK8_skl),skolemize(X,sK9_skl)],[f192])).
% 0.09/0.42 fof(f194,plain,(
% 0.09/0.42 member(sK7_skl,universal_class)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f193])).
% 0.09/0.42 fof(f195,plain,(
% 0.09/0.42 member(sK8_skl,universal_class)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f193])).
% 0.09/0.42 fof(f196,plain,(
% 0.09/0.42 unordered_pair(sK9_skl,sK7_skl)=unordered_pair(sK9_skl,sK8_skl)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f193])).
% 0.09/0.42 fof(f197,plain,(
% 0.09/0.42 ~sK7_skl=sK8_skl),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f193])).
% 0.09/0.42 fof(f201,plain,(
% 0.09/0.42 ![X0,X1]: (member(X0,unordered_pair(X1,X0))|~member(X0,universal_class))),
% 0.09/0.42 inference(destructive_equality_resolution,[status(thm)],[f64])).
% 0.09/0.42 fof(f229,plain,(
% 0.09/0.42 ![X0]: (member(sK8_skl,unordered_pair(X0,sK8_skl)))),
% 0.09/0.42 inference(resolution,[status(thm)],[f201,f195])).
% 0.09/0.42 fof(f230,plain,(
% 0.09/0.42 ![X0]: (member(sK7_skl,unordered_pair(X0,sK7_skl)))),
% 0.09/0.42 inference(resolution,[status(thm)],[f201,f194])).
% 0.09/0.42 fof(f236,plain,(
% 0.09/0.42 member(sK7_skl,unordered_pair(sK9_skl,sK8_skl))),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f196,f230])).
% 0.09/0.42 fof(f238,plain,(
% 0.09/0.42 sK7_skl=sK9_skl|sK7_skl=sK8_skl),
% 0.09/0.42 inference(resolution,[status(thm)],[f236,f62])).
% 0.09/0.42 fof(f240,definition,(
% 0.09/0.42 sQ4_spl <=> (sK7_skl=sK9_skl)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f241,plain,(
% 0.09/0.42 sK7_skl=sK9_skl|~sQ4_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f240])).
% 0.09/0.42 fof(f243,definition,(
% 0.09/0.42 sQ5_spl <=> (sK7_skl=sK8_skl)),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f244,plain,(
% 0.09/0.42 sK7_skl=sK8_skl|~sQ5_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f243])).
% 0.09/0.42 fof(f246,plain,(
% 0.09/0.42 sQ4_spl|sQ5_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f238,f240,f243])).
% 0.09/0.42 fof(f250,plain,(
% 0.09/0.42 unordered_pair(sK9_skl,sK9_skl)=unordered_pair(sK9_skl,sK8_skl)|~sQ4_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f241,f196])).
% 0.09/0.42 fof(f252,plain,(
% 0.09/0.42 ~sK9_skl=sK8_skl|~sQ4_spl),
% 0.09/0.42 inference(backward_demodulation,[status(thm)],[f241,f197])).
% 0.09/0.42 fof(f255,plain,(
% 0.09/0.42 member(sK8_skl,unordered_pair(sK9_skl,sK9_skl))|~sQ4_spl),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f250,f229])).
% 0.09/0.42 fof(f266,plain,(
% 0.09/0.42 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f66,f62])).
% 0.09/0.42 fof(f269,plain,(
% 0.09/0.42 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.09/0.42 inference(duplicate_literals_removal,[status(thm)],[f266])).
% 0.09/0.42 fof(f293,plain,(
% 0.09/0.42 ~sK8_skl=sK8_skl|~sQ5_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f244,f197])).
% 0.09/0.42 fof(f294,plain,(
% 0.09/0.42 $false|~sQ5_spl),
% 0.09/0.42 inference(trivial_equality_resolution,[status(thm)],[f293])).
% 0.09/0.42 fof(f295,plain,(
% 0.09/0.42 ~sQ5_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f294])).
% 0.09/0.42 fof(f296,plain,(
% 0.09/0.42 member(sK8_skl,singleton(sK9_skl))|~sQ4_spl),
% 0.09/0.42 inference(forward_demodulation,[status(thm)],[f66,f255])).
% 0.09/0.42 fof(f308,plain,(
% 0.09/0.42 sK8_skl=sK9_skl|~sQ4_spl),
% 0.09/0.42 inference(resolution,[status(thm)],[f296,f269])).
% 0.09/0.42 fof(f309,plain,(
% 0.09/0.42 $false|~sQ4_spl),
% 0.09/0.42 inference(forward_subsumption_resolution,[status(thm)],[f308,f252])).
% 0.09/0.42 fof(f310,plain,(
% 0.09/0.42 ~sQ4_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f309])).
% 0.09/0.42 fof(f311,plain,(
% 0.09/0.42 $false),
% 0.09/0.42 inference(sat_refutation,[status(thm)],[f246,f295,f310])).
% 0.09/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.46 % Elapsed time: 0.063984 seconds
% 0.09/0.46 % CPU time: 0.181287 seconds
% 0.09/0.46 % Total memory used: 104.743 MB
% 0.09/0.46 % Net memory used: 104.645 MB
%------------------------------------------------------------------------------