%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET063+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 : n017.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 02:11:23 PM UTC 2026
% Result : Theorem 0.08s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET063+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
% 0.08/0.36 % Computer : n017.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 04:44:13 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.39 fof(f1,axiom,(
% 0.08/0.39 (! [X,Y] :( subclass(X,Y)<=> (! [U] :( member(U,X)=> member(U,Y) ) )) )),
% 0.08/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f3,axiom,(
% 0.08/0.39 (! [X,Y] :( X = Y<=> ( subclass(X,Y)& subclass(Y,X) ) ) )),
% 0.08/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f16,axiom,(
% 0.08/0.39 (! [X] : ~ member(X,null_class) )),
% 0.08/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f44,conjecture,(
% 0.08/0.39 (! [X] :( subclass(X,null_class)=> X = null_class ) )),
% 0.08/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.39 fof(f45,negated_conjecture,(
% 0.08/0.39 ~((! [X] :( subclass(X,null_class)=> X = null_class ) ))),
% 0.08/0.39 inference(negated_conjecture,[status(cth)],[f44])).
% 0.08/0.39 fof(f46,plain,(
% 0.08/0.39 ![X,Y]: (subclass(X,Y)<=>(![U]: (~member(U,X)|member(U,Y))))),
% 0.08/0.39 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.08/0.39 fof(f47,plain,(
% 0.08/0.39 ![X,Y]: ((~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y))))&(subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 0.08/0.39 inference(NNF_transformation,[status(thm)],[f46])).
% 0.08/0.39 fof(f48,plain,(
% 0.08/0.39 (![X,Y]: (~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y)))))&(![X,Y]: (subclass(X,Y)|(?[U]: (member(U,X)&~member(U,Y)))))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f47])).
% 0.08/0.39 fof(f49,plain,(
% 0.08/0.39 (![X,Y]: (~subclass(X,Y)|(![U]: (~member(U,X)|member(U,Y)))))&(![X,Y]: (subclass(X,Y)|(member(sK0_skl(Y,X),X)&~member(sK0_skl(Y,X),Y))))),
% 0.08/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(U,sK0_skl(Y,X))],[f48])).
% 0.08/0.39 fof(f51,plain,(
% 0.08/0.39 ![X0,X1]: (subclass(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f49])).
% 0.08/0.39 fof(f54,plain,(
% 0.08/0.39 ![X,Y]: ((~X=Y|(subclass(X,Y)&subclass(Y,X)))&(X=Y|(~subclass(X,Y)|~subclass(Y,X))))),
% 0.08/0.39 inference(NNF_transformation,[status(thm)],[f3])).
% 0.08/0.39 fof(f55,plain,(
% 0.08/0.39 (![X,Y]: (~X=Y|(subclass(X,Y)&subclass(Y,X))))&(![X,Y]: (X=Y|(~subclass(X,Y)|~subclass(Y,X))))),
% 0.08/0.39 inference(miniscoping,[status(thm)],[f54])).
% 0.08/0.39 fof(f58,plain,(
% 0.08/0.39 ![X0,X1]: (X0=X1|~subclass(X0,X1)|~subclass(X1,X0))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f55])).
% 0.08/0.39 fof(f96,plain,(
% 0.08/0.39 ![X0]: (~member(X0,null_class))),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.08/0.39 fof(f191,plain,(
% 0.08/0.39 (?[X]: (subclass(X,null_class)&~X=null_class))),
% 0.08/0.39 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.08/0.39 fof(f192,plain,(
% 0.08/0.39 (subclass(sK7_skl,null_class)&~sK7_skl=null_class)),
% 0.08/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(X,sK7_skl)],[f191])).
% 0.08/0.39 fof(f193,plain,(
% 0.08/0.39 subclass(sK7_skl,null_class)),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f192])).
% 0.08/0.39 fof(f194,plain,(
% 0.08/0.39 ~sK7_skl=null_class),
% 0.08/0.39 inference(cnf_transformation,[status(thm)],[f192])).
% 0.08/0.39 fof(f204,plain,(
% 0.08/0.39 null_class=sK7_skl|~subclass(null_class,sK7_skl)),
% 0.08/0.39 inference(resolution,[status(thm)],[f58,f193])).
% 0.08/0.39 fof(f207,definition,(
% 0.08/0.39 sQ0_spl <=> (null_class=sK7_skl)),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f208,plain,(
% 0.08/0.39 null_class=sK7_skl|~sQ0_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f207])).
% 0.08/0.39 fof(f210,definition,(
% 0.08/0.39 sQ1_spl <=> (subclass(null_class,sK7_skl))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f212,plain,(
% 0.08/0.39 ~subclass(null_class,sK7_skl)|sQ1_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f210])).
% 0.08/0.39 fof(f213,plain,(
% 0.08/0.39 sQ0_spl|~sQ1_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f204,f207,f210])).
% 0.08/0.39 fof(f214,plain,(
% 0.08/0.39 $false|~sQ0_spl),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f208,f194])).
% 0.08/0.39 fof(f215,plain,(
% 0.08/0.39 ~sQ0_spl),
% 0.08/0.39 inference(contradiction_clause,[status(thm)],[f214])).
% 0.08/0.39 fof(f221,plain,(
% 0.08/0.39 ![X0]: (subclass(null_class,X0))),
% 0.08/0.39 inference(resolution,[status(thm)],[f51,f96])).
% 0.08/0.39 fof(f223,plain,(
% 0.08/0.39 $false|sQ1_spl),
% 0.08/0.39 inference(backward_subsumption_resolution,[status(thm)],[f212,f221])).
% 0.08/0.39 fof(f226,plain,(
% 0.08/0.39 sQ1_spl),
% 0.08/0.39 inference(contradiction_clause,[status(thm)],[f223])).
% 0.08/0.39 fof(f227,plain,(
% 0.08/0.39 $false),
% 0.08/0.39 inference(sat_refutation,[status(thm)],[f213,f215,f226])).
% 0.08/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.42 % Elapsed time: 0.048546 seconds
% 0.08/0.42 % CPU time: 0.131658 seconds
% 0.08/0.42 % Total memory used: 75.069 MB
% 0.08/0.42 % Net memory used: 75.006 MB
%------------------------------------------------------------------------------