%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU173+2 : 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 : 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 02:21:54 PM UTC 2026
% Result : Theorem 0.12s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU173+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 05:55:09 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.49 % Refutation found
% 0.12/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.49 fof(f9,axiom,(
% 0.12/0.49 (! [A,B] :( B = powerset(A)<=> (! [C] :( in(C,B)<=> subset(C,A) ) )) )),
% 0.12/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.49 fof(f10,axiom,(
% 0.12/0.49 (! [A,B] :( ( ~ empty(A)=> ( element(B,A)<=> in(B,A) ) )& ( empty(A)=> ( element(B,A)<=> empty(B) ) ) ) )),
% 0.12/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.49 fof(f14,axiom,(
% 0.12/0.49 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.12/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.49 fof(f55,conjecture,(
% 0.12/0.49 (! [A,B] :( (! [C] :( in(C,A)=> in(C,B) ))=> element(A,powerset(B)) ) )),
% 0.12/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.49 fof(f56,negated_conjecture,(
% 0.12/0.49 ~((! [A,B] :( (! [C] :( in(C,A)=> in(C,B) ))=> element(A,powerset(B)) ) ))),
% 0.12/0.49 inference(negated_conjecture,[status(cth)],[f55])).
% 0.12/0.49 fof(f105,axiom,(
% 0.12/0.49 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 0.12/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.49 fof(f139,plain,(
% 0.12/0.49 ![A,B]: ((~B=powerset(A)|(![C]: ((~in(C,B)|subset(C,A))&(in(C,B)|~subset(C,A)))))&(B=powerset(A)|(?[C]: ((~in(C,B)|~subset(C,A))&(in(C,B)|subset(C,A))))))),
% 0.12/0.49 inference(NNF_transformation,[status(thm)],[f9])).
% 0.12/0.49 fof(f140,plain,(
% 0.12/0.49 (![A,B]: (~B=powerset(A)|((![C]: (~in(C,B)|subset(C,A)))&(![C]: (in(C,B)|~subset(C,A))))))&(![A,B]: (B=powerset(A)|(?[C]: ((~in(C,B)|~subset(C,A))&(in(C,B)|subset(C,A))))))),
% 0.12/0.49 inference(miniscoping,[status(thm)],[f139])).
% 0.12/0.49 fof(f141,plain,(
% 0.12/0.49 (![A,B]: (~B=powerset(A)|((![C]: (~in(C,B)|subset(C,A)))&(![C]: (in(C,B)|~subset(C,A))))))&(![A,B]: (B=powerset(A)|((~in(sK2_skl(B,A),B)|~subset(sK2_skl(B,A),A))&(in(sK2_skl(B,A),B)|subset(sK2_skl(B,A),A)))))),
% 0.12/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(C,sK2_skl(B,A))],[f140])).
% 0.12/0.49 fof(f143,plain,(
% 0.12/0.49 ![X0,X1,X2]: (~X0=powerset(X1)|in(X2,X0)|~subset(X2,X1))),
% 0.12/0.49 inference(cnf_transformation,[status(thm)],[f141])).
% 0.12/0.49 fof(f146,plain,(
% 0.12/0.49 ![A,B]: ((empty(A)|(element(B,A)<=>in(B,A)))&(~empty(A)|(element(B,A)<=>empty(B))))),
% 0.12/0.49 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.12/0.49 fof(f147,plain,(
% 0.12/0.49 ![A,B]: ((empty(A)|((~element(B,A)|in(B,A))&(element(B,A)|~in(B,A))))&(~empty(A)|((~element(B,A)|empty(B))&(element(B,A)|~empty(B)))))),
% 0.12/0.49 inference(NNF_transformation,[status(thm)],[f146])).
% 0.12/0.49 fof(f148,plain,(
% 0.12/0.49 (![A]: (empty(A)|((![B]: (~element(B,A)|in(B,A)))&(![B]: (element(B,A)|~in(B,A))))))&(![A]: (~empty(A)|((![B]: (~element(B,A)|empty(B)))&(![B]: (element(B,A)|~empty(B))))))),
% 0.12/0.49 inference(miniscoping,[status(thm)],[f147])).
% 0.12/0.49 fof(f150,plain,(
% 0.12/0.49 ![X0,X1]: (empty(X0)|element(X1,X0)|~in(X1,X0))),
% 0.12/0.49 inference(cnf_transformation,[status(thm)],[f148])).
% 0.12/0.49 fof(f180,plain,(
% 0.12/0.49 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.12/0.49 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.12/0.49 fof(f181,plain,(
% 0.12/0.49 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.12/0.49 inference(NNF_transformation,[status(thm)],[f180])).
% 0.12/0.49 fof(f182,plain,(
% 0.12/0.49 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.12/0.50 inference(miniscoping,[status(thm)],[f181])).
% 0.12/0.50 fof(f183,plain,(
% 0.12/0.50 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK10_skl(B,A),A)&~in(sK10_skl(B,A),B))))),
% 0.12/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(C,sK10_skl(B,A))],[f182])).
% 0.12/0.50 fof(f185,plain,(
% 0.12/0.50 ![X0,X1]: (subset(X0,X1)|in(sK10_skl(X1,X0),X0))),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f183])).
% 0.12/0.50 fof(f186,plain,(
% 0.12/0.50 ![X0,X1]: (subset(X0,X1)|~in(sK10_skl(X1,X0),X1))),
% 0.12/0.50 inference(cnf_transformation,[status(thm)],[f183])).
% 0.12/0.50 fof(f279,plain,(
% 0.12/0.50 (?[A,B]: ((![C]: (~in(C,A)|in(C,B)))&~element(A,powerset(B))))),
% 0.12/0.50 inference(pre_NNF_transformation,[status(thm)],[f56])).
% 0.12/0.50 fof(f280,plain,(
% 0.12/0.50 ((![C]: (~in(C,sK17_skl)|in(C,sK18_skl)))&~element(sK17_skl,powerset(sK18_skl)))),
% 0.12/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl,sK18_skl]),skolemize(A,sK17_skl),skolemize(B,sK18_skl)],[f279])).
% 0.12/0.50 fof(f281,plain,(
% 0.12/0.50 ![X0]: (~in(X0,sK17_skl)|in(X0,sK18_skl))),
% 0.12/0.51 inference(cnf_transformation,[status(thm)],[f280])).
% 0.12/0.51 fof(f282,plain,(
% 0.12/0.51 ~element(sK17_skl,powerset(sK18_skl))),
% 0.12/0.51 inference(cnf_transformation,[status(thm)],[f280])).
% 0.12/0.51 fof(f411,plain,(
% 0.12/0.51 ![A,B]: (~in(A,B)|~empty(B))),
% 0.12/0.51 inference(pre_NNF_transformation,[status(thm)],[f105])).
% 0.12/0.51 fof(f412,plain,(
% 0.12/0.51 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 0.12/0.51 inference(miniscoping,[status(thm)],[f411])).
% 0.12/0.51 fof(f413,plain,(
% 0.12/0.51 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 0.12/0.51 inference(cnf_transformation,[status(thm)],[f412])).
% 0.12/0.51 fof(f453,plain,(
% 0.12/0.51 ![X0,X1]: (in(X0,powerset(X1))|~subset(X0,X1))),
% 0.12/0.51 inference(destructive_equality_resolution,[status(thm)],[f143])).
% 0.12/0.51 fof(f477,plain,(
% 0.12/0.51 ![X0,X1]: (element(X0,X1)|~in(X0,X1))),
% 0.12/0.51 inference(backward_subsumption_resolution,[status(thm)],[f150,f413])).
% 0.12/0.51 fof(f481,plain,(
% 0.12/0.51 ~in(sK17_skl,powerset(sK18_skl))),
% 0.12/0.51 inference(resolution,[status(thm)],[f477,f282])).
% 0.12/0.51 fof(f1566,plain,(
% 0.12/0.51 ![X0]: (subset(X0,sK18_skl)|~in(sK10_skl(sK18_skl,X0),sK17_skl))),
% 0.12/0.51 inference(resolution,[status(thm)],[f186,f281])).
% 0.12/0.51 fof(f1637,plain,(
% 0.12/0.51 subset(sK17_skl,sK18_skl)|subset(sK17_skl,sK18_skl)),
% 0.12/0.51 inference(resolution,[status(thm)],[f1566,f185])).
% 0.12/0.51 fof(f1638,plain,(
% 0.12/0.51 subset(sK17_skl,sK18_skl)),
% 0.12/0.51 inference(duplicate_literals_removal,[status(thm)],[f1637])).
% 0.12/0.51 fof(f1643,plain,(
% 0.12/0.51 in(sK17_skl,powerset(sK18_skl))),
% 0.12/0.51 inference(resolution,[status(thm)],[f1638,f453])).
% 0.12/0.51 fof(f1644,plain,(
% 0.12/0.51 $false),
% 0.12/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1643,f481])).
% 0.12/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.53 % Elapsed time: 0.169532 seconds
% 0.12/0.53 % CPU time: 0.958189 seconds
% 0.12/0.53 % Total memory used: 120.521 MB
% 0.12/0.53 % Net memory used: 118.893 MB
%------------------------------------------------------------------------------