%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET366+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 02:11:58 PM UTC 2026
% Result : Theorem 0.22s 0.70s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET366+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.65 % Computer : n016.cluster.edu
% 0.18/0.65 % Model : x86_64 x86_64
% 0.18/0.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.65 % Memory : 8046.5625MB
% 0.18/0.65 % OS : Linux 6.8.0-71-generic
% 0.18/0.65 % CPULimit : 300
% 0.18/0.65 % WCLimit : 300
% 0.18/0.65 % DateTime : Mon Sep 21 05:16:39 UTC 2026
% 0.22/0.65 % CPUTime :
% 0.22/0.67 % Drodi V4.1.1
% 0.22/0.70 % Refutation found
% 0.22/0.70 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.22/0.70 % SZS output start CNFRefutation for theBenchmark
% 0.22/0.70 fof(f1,axiom,(
% 0.22/0.70 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 0.22/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.70 fof(f3,axiom,(
% 0.22/0.70 (! [X,A] :( member(X,power_set(A))<=> subset(X,A) ) )),
% 0.22/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.70 fof(f6,axiom,(
% 0.22/0.70 (! [X] : ~ member(X,empty_set) )),
% 0.22/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.70 fof(f12,conjecture,(
% 0.22/0.70 (! [A] : member(empty_set,power_set(A)) )),
% 0.22/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.22/0.70 fof(f13,negated_conjecture,(
% 0.22/0.70 ~((! [A] : member(empty_set,power_set(A)) ))),
% 0.22/0.70 inference(negated_conjecture,[status(cth)],[f12])).
% 0.22/0.70 fof(f14,plain,(
% 0.22/0.70 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 0.22/0.70 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.22/0.70 fof(f15,plain,(
% 0.22/0.70 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.22/0.70 inference(NNF_transformation,[status(thm)],[f14])).
% 0.22/0.70 fof(f16,plain,(
% 0.22/0.70 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.22/0.70 inference(miniscoping,[status(thm)],[f15])).
% 0.22/0.70 fof(f17,plain,(
% 0.22/0.70 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(member(sK0_skl(B,A),A)&~member(sK0_skl(B,A),B))))),
% 0.22/0.70 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(B,A))],[f16])).
% 0.22/0.70 fof(f19,plain,(
% 0.22/0.70 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.22/0.70 inference(cnf_transformation,[status(thm)],[f17])).
% 0.22/0.70 fof(f26,plain,(
% 0.22/0.70 ![X,A]: ((~member(X,power_set(A))|subset(X,A))&(member(X,power_set(A))|~subset(X,A)))),
% 0.22/0.70 inference(NNF_transformation,[status(thm)],[f3])).
% 0.22/0.70 fof(f27,plain,(
% 0.22/0.70 (![X,A]: (~member(X,power_set(A))|subset(X,A)))&(![X,A]: (member(X,power_set(A))|~subset(X,A)))),
% 0.22/0.70 inference(miniscoping,[status(thm)],[f26])).
% 0.22/0.70 fof(f29,plain,(
% 0.22/0.70 ![X0,X1]: (member(X0,power_set(X1))|~subset(X0,X1))),
% 0.22/0.70 inference(cnf_transformation,[status(thm)],[f27])).
% 0.22/0.70 fof(f40,plain,(
% 0.22/0.70 ![X0]: (~member(X0,empty_set))),
% 0.22/0.70 inference(cnf_transformation,[status(thm)],[f6])).
% 0.22/0.70 fof(f68,plain,(
% 0.22/0.70 (?[A]: ~member(empty_set,power_set(A)))),
% 0.22/0.70 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.22/0.70 fof(f69,plain,(
% 0.22/0.70 ~member(empty_set,power_set(sK3_skl))),
% 0.22/0.70 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(A,sK3_skl)],[f68])).
% 0.22/0.70 fof(f70,plain,(
% 0.22/0.70 ~member(empty_set,power_set(sK3_skl))),
% 0.22/0.70 inference(cnf_transformation,[status(thm)],[f69])).
% 0.22/0.70 fof(f77,plain,(
% 0.22/0.70 ![X0]: (subset(empty_set,X0))),
% 0.22/0.70 inference(resolution,[status(thm)],[f19,f40])).
% 0.22/0.70 fof(f79,plain,(
% 0.22/0.70 ![X0]: (member(empty_set,power_set(X0)))),
% 0.22/0.70 inference(resolution,[status(thm)],[f77,f29])).
% 0.22/0.70 fof(f81,plain,(
% 0.22/0.70 $false),
% 0.22/0.70 inference(backward_subsumption_resolution,[status(thm)],[f70,f79])).
% 0.22/0.70 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.73 % Elapsed time: 0.058036 seconds
% 0.23/0.73 % CPU time: 0.177448 seconds
% 0.23/0.73 % Total memory used: 62.956 MB
% 0.23/0.73 % Net memory used: 62.733 MB
%------------------------------------------------------------------------------