%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET020+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 : n015.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 02:11:13 PM UTC 2026
% Result : Theorem 0.14s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET020+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
% 0.09/0.35 % Computer : n015.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 04:46:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f9,axiom,(
% 0.14/0.38 (! [X,Y] :( ( member(X,universal_class)& member(Y,universal_class) )=> ( first(ordered_pair(X,Y)) = X& second(ordered_pair(X,Y)) = Y ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f44,conjecture,(
% 0.14/0.38 (! [U,V,X] :( ( member(U,universal_class)& member(V,universal_class)& X = ordered_pair(U,V) )=> ( first(X) = U& second(X) = V ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f45,negated_conjecture,(
% 0.14/0.38 ~((! [U,V,X] :( ( member(U,universal_class)& member(V,universal_class)& X = ordered_pair(U,V) )=> ( first(X) = U& second(X) = V ) ) ))),
% 0.14/0.38 inference(negated_conjecture,[status(cth)],[f44])).
% 0.14/0.38 fof(f73,plain,(
% 0.14/0.38 ![X,Y]: ((~member(X,universal_class)|~member(Y,universal_class))|(first(ordered_pair(X,Y))=X&second(ordered_pair(X,Y))=Y))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.14/0.38 fof(f74,plain,(
% 0.14/0.38 ![X0,X1]: (~member(X0,universal_class)|~member(X1,universal_class)|first(ordered_pair(X0,X1))=X0)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f73])).
% 0.14/0.38 fof(f75,plain,(
% 0.14/0.38 ![X0,X1]: (~member(X0,universal_class)|~member(X1,universal_class)|second(ordered_pair(X0,X1))=X1)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f73])).
% 0.14/0.38 fof(f191,plain,(
% 0.14/0.38 (?[U,V,X]: (((member(U,universal_class)&member(V,universal_class))&X=ordered_pair(U,V))&(~first(X)=U|~second(X)=V)))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.14/0.38 fof(f192,plain,(
% 0.14/0.38 (((member(sK7_skl,universal_class)&member(sK8_skl,universal_class))&sK9_skl=ordered_pair(sK7_skl,sK8_skl))&(~first(sK9_skl)=sK7_skl|~second(sK9_skl)=sK8_skl))),
% 0.14/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl,sK9_skl]),skolemize(U,sK7_skl),skolemize(V,sK8_skl),skolemize(X,sK9_skl)],[f191])).
% 0.14/0.38 fof(f193,plain,(
% 0.14/0.38 member(sK7_skl,universal_class)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f192])).
% 0.14/0.38 fof(f194,plain,(
% 0.14/0.38 member(sK8_skl,universal_class)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f192])).
% 0.14/0.38 fof(f195,plain,(
% 0.14/0.38 sK9_skl=ordered_pair(sK7_skl,sK8_skl)),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f192])).
% 0.14/0.38 fof(f196,plain,(
% 0.14/0.38 ~first(sK9_skl)=sK7_skl|~second(sK9_skl)=sK8_skl),
% 0.14/0.38 inference(cnf_transformation,[status(thm)],[f192])).
% 0.14/0.38 fof(f197,definition,(
% 0.14/0.38 sQ0_spl <=> (first(sK9_skl)=sK7_skl)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f199,plain,(
% 0.14/0.38 ~first(sK9_skl)=sK7_skl|sQ0_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f197])).
% 0.14/0.38 fof(f200,definition,(
% 0.14/0.38 sQ1_spl <=> (second(sK9_skl)=sK8_skl)),
% 0.14/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.38 fof(f202,plain,(
% 0.14/0.38 ~second(sK9_skl)=sK8_skl|sQ1_spl),
% 0.14/0.38 inference(component_clause,[status(thm)],[f200])).
% 0.14/0.38 fof(f203,plain,(
% 0.14/0.38 ~sQ0_spl|~sQ1_spl),
% 0.14/0.38 inference(split_clause,[status(thm)],[f196,f197,f200])).
% 0.14/0.38 fof(f210,plain,(
% 0.14/0.38 ![X0]: (~member(X0,universal_class)|first(ordered_pair(X0,sK8_skl))=X0)),
% 0.14/0.38 inference(resolution,[status(thm)],[f74,f194])).
% 0.14/0.38 fof(f213,plain,(
% 0.14/0.38 first(ordered_pair(sK7_skl,sK8_skl))=sK7_skl),
% 0.14/0.38 inference(resolution,[status(thm)],[f210,f193])).
% 0.14/0.38 fof(f214,plain,(
% 0.14/0.38 first(sK9_skl)=sK7_skl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f195,f213])).
% 0.14/0.38 fof(f215,plain,(
% 0.14/0.38 $false|sQ0_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f214,f199])).
% 0.14/0.38 fof(f216,plain,(
% 0.14/0.38 sQ0_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f215])).
% 0.14/0.38 fof(f219,plain,(
% 0.14/0.38 ![X0]: (~member(X0,universal_class)|second(ordered_pair(X0,sK8_skl))=sK8_skl)),
% 0.14/0.38 inference(resolution,[status(thm)],[f75,f194])).
% 0.14/0.38 fof(f222,plain,(
% 0.14/0.38 second(ordered_pair(sK7_skl,sK8_skl))=sK8_skl),
% 0.14/0.38 inference(resolution,[status(thm)],[f219,f193])).
% 0.14/0.38 fof(f223,plain,(
% 0.14/0.38 second(sK9_skl)=sK8_skl),
% 0.14/0.38 inference(forward_demodulation,[status(thm)],[f195,f222])).
% 0.14/0.38 fof(f224,plain,(
% 0.14/0.38 $false|sQ1_spl),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f223,f202])).
% 0.14/0.38 fof(f225,plain,(
% 0.14/0.38 sQ1_spl),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f224])).
% 0.14/0.38 fof(f226,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(sat_refutation,[status(thm)],[f203,f216,f225])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.049082 seconds
% 0.14/0.41 % CPU time: 0.152578 seconds
% 0.14/0.41 % Total memory used: 104.638 MB
% 0.14/0.41 % Net memory used: 104.552 MB
%------------------------------------------------------------------------------