%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET705+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 02:12:29 PM UTC 2026
% Result : Theorem 0.17s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET705+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n010.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 05:33:40 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.17/0.48 % Refutation found
% 0.17/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.48 fof(f1,axiom,(
% 0.17/0.48 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f3,axiom,(
% 0.17/0.48 (! [X,A] :( member(X,power_set(A))<=> subset(X,A) ) )),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f12,conjecture,(
% 0.17/0.48 (! [A] : member(A,power_set(A)) )),
% 0.17/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.48 fof(f13,negated_conjecture,(
% 0.17/0.48 ~((! [A] : member(A,power_set(A)) ))),
% 0.17/0.48 inference(negated_conjecture,[status(cth)],[f12])).
% 0.17/0.48 fof(f14,plain,(
% 0.17/0.48 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 0.17/0.48 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.17/0.48 fof(f15,plain,(
% 0.17/0.48 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.17/0.48 inference(NNF_transformation,[status(thm)],[f14])).
% 0.17/0.48 fof(f16,plain,(
% 0.17/0.48 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.17/0.48 inference(miniscoping,[status(thm)],[f15])).
% 0.17/0.48 fof(f17,plain,(
% 0.17/0.48 (![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))))),
% 0.17/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(B,A))],[f16])).
% 0.17/0.48 fof(f19,plain,(
% 0.17/0.48 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f17])).
% 0.17/0.48 fof(f20,plain,(
% 0.17/0.48 ![X0,X1]: (subset(X0,X1)|~member(sK0_skl(X1,X0),X1))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f17])).
% 0.17/0.48 fof(f26,plain,(
% 0.17/0.48 ![X,A]: ((~member(X,power_set(A))|subset(X,A))&(member(X,power_set(A))|~subset(X,A)))),
% 0.17/0.48 inference(NNF_transformation,[status(thm)],[f3])).
% 0.17/0.48 fof(f27,plain,(
% 0.17/0.48 (![X,A]: (~member(X,power_set(A))|subset(X,A)))&(![X,A]: (member(X,power_set(A))|~subset(X,A)))),
% 0.17/0.48 inference(miniscoping,[status(thm)],[f26])).
% 0.17/0.48 fof(f29,plain,(
% 0.17/0.48 ![X0,X1]: (member(X0,power_set(X1))|~subset(X0,X1))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f27])).
% 0.17/0.48 fof(f68,plain,(
% 0.17/0.48 (?[A]: ~member(A,power_set(A)))),
% 0.17/0.48 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.17/0.48 fof(f69,plain,(
% 0.17/0.48 ~member(sK3_skl,power_set(sK3_skl))),
% 0.17/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(A,sK3_skl)],[f68])).
% 0.17/0.48 fof(f70,plain,(
% 0.17/0.48 ~member(sK3_skl,power_set(sK3_skl))),
% 0.17/0.48 inference(cnf_transformation,[status(thm)],[f69])).
% 0.17/0.48 fof(f88,plain,(
% 0.17/0.48 ![X0]: (subset(X0,X0)|subset(X0,X0))),
% 0.17/0.48 inference(resolution,[status(thm)],[f20,f19])).
% 0.17/0.48 fof(f90,plain,(
% 0.17/0.48 ![X0]: (subset(X0,X0))),
% 0.17/0.48 inference(duplicate_literals_removal,[status(thm)],[f88])).
% 0.17/0.48 fof(f122,plain,(
% 0.17/0.48 ![X0]: (member(X0,power_set(X0)))),
% 0.17/0.48 inference(resolution,[status(thm)],[f90,f29])).
% 0.17/0.48 fof(f127,plain,(
% 0.17/0.48 $false),
% 0.17/0.48 inference(backward_subsumption_resolution,[status(thm)],[f70,f122])).
% 0.17/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.54 % Elapsed time: 0.093438 seconds
% 0.24/0.54 % CPU time: 0.108982 seconds
% 0.24/0.54 % Total memory used: 7.634 MB
% 0.24/0.54 % Net memory used: 7.612 MB
%------------------------------------------------------------------------------