%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU294+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 02:22:14 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU294+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 06:10:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f8,axiom,(
% 0.09/0.40 (! [A] :( finite(A)=> (! [B] :( element(B,powerset(A))=> finite(B) ) )) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f40,conjecture,(
% 0.09/0.40 (! [A,B] :( ( subset(A,B)& finite(B) )=> finite(A) ) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f41,negated_conjecture,(
% 0.09/0.40 ~((! [A,B] :( ( subset(A,B)& finite(B) )=> finite(A) ) ))),
% 0.09/0.40 inference(negated_conjecture,[status(cth)],[f40])).
% 0.09/0.40 fof(f44,axiom,(
% 0.09/0.40 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 0.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f70,plain,(
% 0.09/0.40 ![A]: (~finite(A)|(![B]: (~element(B,powerset(A))|finite(B))))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.09/0.40 fof(f71,plain,(
% 0.09/0.40 ![X0,X1]: (~finite(X0)|~element(X1,powerset(X0))|finite(X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f70])).
% 0.09/0.40 fof(f178,plain,(
% 0.09/0.40 (?[A,B]: ((subset(A,B)&finite(B))&~finite(A)))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.09/0.40 fof(f179,plain,(
% 0.09/0.40 ?[A]: ((?[B]: (subset(A,B)&finite(B)))&~finite(A))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f178])).
% 0.09/0.40 fof(f180,plain,(
% 0.09/0.40 ((subset(sK19_skl,sK20_skl)&finite(sK20_skl))&~finite(sK19_skl))),
% 0.09/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl,sK20_skl]),skolemize(A,sK19_skl),skolemize(B,sK20_skl)],[f179])).
% 0.09/0.40 fof(f181,plain,(
% 0.09/0.40 subset(sK19_skl,sK20_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f180])).
% 0.09/0.40 fof(f182,plain,(
% 0.09/0.40 finite(sK20_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f180])).
% 0.09/0.40 fof(f183,plain,(
% 0.09/0.40 ~finite(sK19_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f180])).
% 0.09/0.40 fof(f188,plain,(
% 0.09/0.40 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 0.09/0.40 inference(NNF_transformation,[status(thm)],[f44])).
% 0.09/0.40 fof(f189,plain,(
% 0.09/0.40 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f188])).
% 0.09/0.40 fof(f191,plain,(
% 0.09/0.40 ![X0,X1]: (element(X0,powerset(X1))|~subset(X0,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f189])).
% 0.09/0.40 fof(f206,plain,(
% 0.09/0.40 element(sK19_skl,powerset(sK20_skl))),
% 0.09/0.40 inference(resolution,[status(thm)],[f191,f181])).
% 0.09/0.40 fof(f211,plain,(
% 0.09/0.40 ~finite(sK20_skl)|finite(sK19_skl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f206,f71])).
% 0.09/0.40 fof(f215,plain,(
% 0.09/0.40 finite(sK19_skl)),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f211,f182])).
% 0.09/0.40 fof(f216,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f215,f183])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.056934 seconds
% 0.09/0.43 % CPU time: 0.150276 seconds
% 0.09/0.43 % Total memory used: 82.792 MB
% 0.09/0.43 % Net memory used: 82.764 MB
%------------------------------------------------------------------------------