%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET062+3 : 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 : n004.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 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET062+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 04:48:36 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (! [B] : ~ member(B,empty_set) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (! [B,C] :( subset(B,C)<=> (! [D] :( member(D,B)=> member(D,C) ) )) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,conjecture,(
% 0.13/0.38 (! [B] : subset(empty_set,B) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,negated_conjecture,(
% 0.13/0.38 ~((! [B] : subset(empty_set,B) ))),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f5])).
% 0.13/0.38 fof(f7,plain,(
% 0.13/0.38 ![X0]: (~member(X0,empty_set))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.38 fof(f8,plain,(
% 0.13/0.38 ![B,C]: (subset(B,C)<=>(![D]: (~member(D,B)|member(D,C))))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.38 fof(f9,plain,(
% 0.13/0.38 ![B,C]: ((~subset(B,C)|(![D]: (~member(D,B)|member(D,C))))&(subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.13/0.38 inference(NNF_transformation,[status(thm)],[f8])).
% 0.13/0.38 fof(f10,plain,(
% 0.13/0.38 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(?[D]: (member(D,B)&~member(D,C)))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f9])).
% 0.13/0.38 fof(f11,plain,(
% 0.13/0.38 (![B,C]: (~subset(B,C)|(![D]: (~member(D,B)|member(D,C)))))&(![B,C]: (subset(B,C)|(member(sK0_skl(C,B),B)&~member(sK0_skl(C,B),C))))),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(D,sK0_skl(C,B))],[f10])).
% 0.13/0.38 fof(f13,plain,(
% 0.13/0.38 ![X0,X1]: (subset(X0,X1)|member(sK0_skl(X1,X0),X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.38 fof(f21,plain,(
% 0.13/0.38 (?[B]: ~subset(empty_set,B))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.13/0.38 fof(f22,plain,(
% 0.13/0.38 ~subset(empty_set,sK2_skl)),
% 0.13/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(B,sK2_skl)],[f21])).
% 0.13/0.38 fof(f23,plain,(
% 0.13/0.38 ~subset(empty_set,sK2_skl)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.38 fof(f28,plain,(
% 0.13/0.38 ![X0]: (subset(empty_set,X0))),
% 0.13/0.38 inference(resolution,[status(thm)],[f13,f7])).
% 0.13/0.38 fof(f31,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(backward_subsumption_resolution,[status(thm)],[f23,f28])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.036355 seconds
% 0.13/0.40 % CPU time: 0.086958 seconds
% 0.13/0.40 % Total memory used: 12.960 MB
% 0.13/0.40 % Net memory used: 12.537 MB
%------------------------------------------------------------------------------