%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET108+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 : n002.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 02:11:34 PM UTC 2026
% Result : Theorem 0.10s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET108+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
% 0.10/0.35 % Computer : n002.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 04:56:01 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.10/0.37 % Refutation found
% 0.10/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.37 fof(f44,conjecture,(
% 0.10/0.37 (! [X] :(? [U,V] :( ( member(U,universal_class)& member(V,universal_class)& X = ordered_pair(U,V) )| ( ~ (? [Y,Z] :( member(Y,universal_class)& member(Z,universal_class)& X = ordered_pair(Y,Z) ))& U = X& V = X ) ) ))),
% 0.10/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.37 fof(f45,negated_conjecture,(
% 0.10/0.37 ~((! [X] :(? [U,V] :( ( member(U,universal_class)& member(V,universal_class)& X = ordered_pair(U,V) )| ( ~ (? [Y,Z] :( member(Y,universal_class)& member(Z,universal_class)& X = ordered_pair(Y,Z) ))& U = X& V = X ) ) )))),
% 0.10/0.37 inference(negated_conjecture,[status(cth)],[f44])).
% 0.10/0.37 fof(f191,plain,(
% 0.10/0.37 (?[X]: ![U,V]: (((~member(U,universal_class)|~member(V,universal_class))|~X=ordered_pair(U,V))&(((?[Y,Z]: ((member(Y,universal_class)&member(Z,universal_class))&X=ordered_pair(Y,Z)))|~U=X)|~V=X)))),
% 0.10/0.37 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.10/0.37 fof(f192,plain,(
% 0.10/0.37 ?[X]: ((![U,V]: ((~member(U,universal_class)|~member(V,universal_class))|~X=ordered_pair(U,V)))&(((?[Y,Z]: ((member(Y,universal_class)&member(Z,universal_class))&X=ordered_pair(Y,Z)))|(![U]: ~U=X))|(![V]: ~V=X)))),
% 0.10/0.37 inference(miniscoping,[status(thm)],[f191])).
% 0.10/0.37 fof(f193,plain,(
% 0.10/0.37 ((![U,V]: ((~member(U,universal_class)|~member(V,universal_class))|~sK7_skl=ordered_pair(U,V)))&((((member(sK8_skl,universal_class)&member(sK9_skl,universal_class))&sK7_skl=ordered_pair(sK8_skl,sK9_skl))|(![U]: ~U=sK7_skl))|(![V]: ~V=sK7_skl)))),
% 0.10/0.37 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])).
% 0.10/0.37 fof(f194,plain,(
% 0.10/0.37 ![X0,X1]: (~member(X0,universal_class)|~member(X1,universal_class)|~sK7_skl=ordered_pair(X0,X1))),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f193])).
% 0.10/0.37 fof(f195,plain,(
% 0.10/0.37 ![X0,X1]: (member(sK8_skl,universal_class)|~X0=sK7_skl|~X1=sK7_skl)),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f193])).
% 0.10/0.37 fof(f196,plain,(
% 0.10/0.37 ![X0,X1]: (member(sK9_skl,universal_class)|~X0=sK7_skl|~X1=sK7_skl)),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f193])).
% 0.10/0.37 fof(f197,plain,(
% 0.10/0.37 ![X0,X1]: (sK7_skl=ordered_pair(sK8_skl,sK9_skl)|~X0=sK7_skl|~X1=sK7_skl)),
% 0.10/0.37 inference(cnf_transformation,[status(thm)],[f193])).
% 0.10/0.37 fof(f198,definition,(
% 0.10/0.37 sQ0_spl <=> (member(sK8_skl,universal_class))),
% 0.10/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.10/0.37 fof(f201,definition,(
% 0.10/0.37 ![X0]: (sQ1_spl <=> (~X0=sK7_skl))),
% 0.10/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.10/0.37 fof(f202,plain,(
% 0.10/0.37 ![X0]: (~X0=sK7_skl|~sQ1_spl)),
% 0.10/0.37 inference(component_clause,[status(thm)],[f201])).
% 0.10/0.37 fof(f204,plain,(
% 0.10/0.37 sQ0_spl|sQ1_spl),
% 0.10/0.37 inference(split_clause,[status(thm)],[f195,f198,f201])).
% 0.10/0.37 fof(f205,definition,(
% 0.10/0.37 sQ2_spl <=> (member(sK9_skl,universal_class))),
% 0.10/0.37 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.10/0.37 fof(f208,plain,(
% 0.10/0.37 sQ2_spl|sQ1_spl),
% 0.10/0.37 inference(split_clause,[status(thm)],[f196,f205,f201])).
% 0.10/0.37 fof(f209,definition,(
% 0.10/0.37 sQ3_spl <=> (sK7_skl=ordered_pair(sK8_skl,sK9_skl))),
% 0.10/0.37 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.10/0.37 fof(f210,plain,(
% 0.10/0.37 sK7_skl=ordered_pair(sK8_skl,sK9_skl)|~sQ3_spl),
% 0.10/0.37 inference(component_clause,[status(thm)],[f209])).
% 0.10/0.37 fof(f212,plain,(
% 0.10/0.37 sQ3_spl|sQ1_spl),
% 0.10/0.37 inference(split_clause,[status(thm)],[f197,f209,f201])).
% 0.10/0.37 fof(f219,plain,(
% 0.10/0.37 $false|~sQ1_spl),
% 0.10/0.37 inference(destructive_equality_resolution,[status(thm)],[f202])).
% 0.10/0.37 fof(f220,plain,(
% 0.10/0.37 ~sQ1_spl),
% 0.10/0.37 inference(contradiction_clause,[status(thm)],[f219])).
% 0.10/0.37 fof(f221,plain,(
% 0.10/0.37 ~member(sK8_skl,universal_class)|~member(sK9_skl,universal_class)|~sQ3_spl),
% 0.10/0.37 inference(resolution,[status(thm)],[f194,f210])).
% 0.10/0.37 fof(f223,plain,(
% 0.10/0.37 ~sQ0_spl|~sQ2_spl|~sQ3_spl),
% 0.10/0.37 inference(split_clause,[status(thm)],[f221,f198,f205,f209])).
% 0.10/0.37 fof(f228,plain,(
% 0.10/0.37 $false),
% 0.10/0.37 inference(sat_refutation,[status(thm)],[f204,f208,f212,f220,f223])).
% 0.10/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.052102 seconds
% 0.13/0.41 % CPU time: 0.116526 seconds
% 0.13/0.41 % Total memory used: 22.892 MB
% 0.13/0.41 % Net memory used: 22.871 MB
%------------------------------------------------------------------------------