%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU294+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 02:22:15 PM UTC 2026
% Result : Theorem 0.18s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU294+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n020.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 06:09:33 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.48 % Refutation found
% 0.18/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.48 fof(f8,axiom,(
% 0.18/0.48 (! [A] :( finite(A)=> (! [B] :( element(B,powerset(A))=> finite(B) ) )) )),
% 0.18/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f46,conjecture,(
% 0.18/0.48 (! [A,B] :( ( subset(A,B)& finite(B) )=> finite(A) ) )),
% 0.18/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f47,negated_conjecture,(
% 0.18/0.48 ~((! [A,B] :( ( subset(A,B)& finite(B) )=> finite(A) ) ))),
% 0.18/0.48 inference(negated_conjecture,[status(cth)],[f46])).
% 0.18/0.48 fof(f50,axiom,(
% 0.18/0.48 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 0.18/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f76,plain,(
% 0.18/0.48 ![A]: (~finite(A)|(![B]: (~element(B,powerset(A))|finite(B))))),
% 0.18/0.48 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.18/0.48 fof(f77,plain,(
% 0.18/0.48 ![X0,X1]: (~finite(X0)|~element(X1,powerset(X0))|finite(X1))),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f76])).
% 0.18/0.48 fof(f225,plain,(
% 0.18/0.48 (?[A,B]: ((subset(A,B)&finite(B))&~finite(A)))),
% 0.18/0.48 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 0.18/0.48 fof(f226,plain,(
% 0.18/0.48 ?[A]: ((?[B]: (subset(A,B)&finite(B)))&~finite(A))),
% 0.18/0.48 inference(miniscoping,[status(thm)],[f225])).
% 0.18/0.48 fof(f227,plain,(
% 0.18/0.48 ((subset(sK26_skl,sK27_skl)&finite(sK27_skl))&~finite(sK26_skl))),
% 0.18/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl,sK27_skl]),skolemize(A,sK26_skl),skolemize(B,sK27_skl)],[f226])).
% 0.18/0.48 fof(f228,plain,(
% 0.18/0.48 subset(sK26_skl,sK27_skl)),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f227])).
% 0.18/0.48 fof(f229,plain,(
% 0.18/0.48 finite(sK27_skl)),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f227])).
% 0.18/0.48 fof(f230,plain,(
% 0.18/0.48 ~finite(sK26_skl)),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f227])).
% 0.18/0.48 fof(f235,plain,(
% 0.18/0.48 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 0.18/0.48 inference(NNF_transformation,[status(thm)],[f50])).
% 0.18/0.48 fof(f236,plain,(
% 0.18/0.48 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 0.18/0.48 inference(miniscoping,[status(thm)],[f235])).
% 0.18/0.48 fof(f238,plain,(
% 0.18/0.48 ![X0,X1]: (element(X0,powerset(X1))|~subset(X0,X1))),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f236])).
% 0.18/0.48 fof(f255,plain,(
% 0.18/0.48 element(sK26_skl,powerset(sK27_skl))),
% 0.18/0.48 inference(resolution,[status(thm)],[f238,f228])).
% 0.18/0.48 fof(f260,plain,(
% 0.18/0.48 ~finite(sK27_skl)|finite(sK26_skl)),
% 0.18/0.48 inference(resolution,[status(thm)],[f255,f77])).
% 0.18/0.48 fof(f264,definition,(
% 0.18/0.48 sQ0_spl <=> (finite(sK27_skl))),
% 0.18/0.48 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.18/0.48 fof(f266,plain,(
% 0.18/0.48 ~finite(sK27_skl)|sQ0_spl),
% 0.18/0.48 inference(component_clause,[status(thm)],[f264])).
% 0.18/0.48 fof(f267,definition,(
% 0.18/0.48 sQ1_spl <=> (finite(sK26_skl))),
% 0.18/0.48 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.18/0.48 fof(f268,plain,(
% 0.18/0.48 finite(sK26_skl)|~sQ1_spl),
% 0.18/0.48 inference(component_clause,[status(thm)],[f267])).
% 0.18/0.48 fof(f270,plain,(
% 0.18/0.48 ~sQ0_spl|sQ1_spl),
% 0.18/0.48 inference(split_clause,[status(thm)],[f260,f264,f267])).
% 0.18/0.48 fof(f286,plain,(
% 0.18/0.48 $false|sQ0_spl),
% 0.18/0.48 inference(forward_subsumption_resolution,[status(thm)],[f266,f229])).
% 0.18/0.48 fof(f287,plain,(
% 0.18/0.48 sQ0_spl),
% 0.18/0.48 inference(contradiction_clause,[status(thm)],[f286])).
% 0.18/0.48 fof(f288,plain,(
% 0.18/0.48 $false|~sQ1_spl),
% 0.18/0.48 inference(forward_subsumption_resolution,[status(thm)],[f268,f230])).
% 0.18/0.48 fof(f289,plain,(
% 0.18/0.48 ~sQ1_spl),
% 0.18/0.48 inference(contradiction_clause,[status(thm)],[f288])).
% 0.18/0.48 fof(f290,plain,(
% 0.18/0.48 $false),
% 0.18/0.48 inference(sat_refutation,[status(thm)],[f270,f287,f289])).
% 0.18/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.52 % Elapsed time: 0.063842 seconds
% 0.25/0.52 % CPU time: 0.159527 seconds
% 0.25/0.52 % Total memory used: 49.868 MB
% 0.25/0.52 % Net memory used: 49.852 MB
%------------------------------------------------------------------------------