%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU173+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 0.18s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU173+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n014.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 05:54:49 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 0.18/0.48 % Refutation found
% 0.18/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.48 fof(f2,axiom,(
% 0.18/0.48 (! [A,B] :( B = powerset(A)<=> (! [C] :( in(C,B)<=> subset(C,A) ) )) )),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f3,axiom,(
% 0.18/0.48 (! [A,B] :( ( ~ empty(A)=> ( element(B,A)<=> in(B,A) ) )& ( empty(A)=> ( element(B,A)<=> empty(B) ) ) ) )),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f4,axiom,(
% 0.18/0.48 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f11,conjecture,(
% 0.18/0.48 (! [A,B] :( (! [C] :( in(C,A)=> in(C,B) ))=> element(A,powerset(B)) ) )),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f12,negated_conjecture,(
% 0.18/0.48 ~((! [A,B] :( (! [C] :( in(C,A)=> in(C,B) ))=> element(A,powerset(B)) ) ))),
% 0.18/0.48 inference(negated_conjecture,[status(cth)],[f11])).
% 0.18/0.48 fof(f19,axiom,(
% 0.18/0.48 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 0.18/0.48 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.48 fof(f23,plain,(
% 0.18/0.48 ![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))))))),
% 0.18/0.48 inference(NNF_transformation,[status(thm)],[f2])).
% 0.18/0.48 fof(f24,plain,(
% 0.18/0.48 (![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))))))),
% 0.18/0.48 inference(miniscoping,[status(thm)],[f23])).
% 0.18/0.48 fof(f25,plain,(
% 0.18/0.48 (![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(sK0_skl(B,A),B)|~subset(sK0_skl(B,A),A))&(in(sK0_skl(B,A),B)|subset(sK0_skl(B,A),A)))))),
% 0.18/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f24])).
% 0.18/0.48 fof(f27,plain,(
% 0.18/0.48 ![X0,X1,X2]: (~X0=powerset(X1)|in(X2,X0)|~subset(X2,X1))),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f25])).
% 0.18/0.48 fof(f30,plain,(
% 0.18/0.48 ![A,B]: ((empty(A)|(element(B,A)<=>in(B,A)))&(~empty(A)|(element(B,A)<=>empty(B))))),
% 0.18/0.48 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.18/0.48 fof(f31,plain,(
% 0.18/0.48 ![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)))))),
% 0.18/0.48 inference(NNF_transformation,[status(thm)],[f30])).
% 0.18/0.48 fof(f32,plain,(
% 0.18/0.48 (![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))))))),
% 0.18/0.48 inference(miniscoping,[status(thm)],[f31])).
% 0.18/0.48 fof(f34,plain,(
% 0.18/0.48 ![X0,X1]: (empty(X0)|element(X1,X0)|~in(X1,X0))),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f32])).
% 0.18/0.48 fof(f37,plain,(
% 0.18/0.48 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.18/0.48 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.18/0.48 fof(f38,plain,(
% 0.18/0.48 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.18/0.48 inference(NNF_transformation,[status(thm)],[f37])).
% 0.18/0.48 fof(f39,plain,(
% 0.18/0.48 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.18/0.48 inference(miniscoping,[status(thm)],[f38])).
% 0.18/0.48 fof(f40,plain,(
% 0.18/0.48 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK1_skl(B,A),A)&~in(sK1_skl(B,A),B))))),
% 0.18/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(C,sK1_skl(B,A))],[f39])).
% 0.18/0.48 fof(f42,plain,(
% 0.18/0.48 ![X0,X1]: (subset(X0,X1)|in(sK1_skl(X1,X0),X0))),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f40])).
% 0.18/0.48 fof(f43,plain,(
% 0.18/0.48 ![X0,X1]: (subset(X0,X1)|~in(sK1_skl(X1,X0),X1))),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f40])).
% 0.18/0.48 fof(f48,plain,(
% 0.18/0.48 (?[A,B]: ((![C]: (~in(C,A)|in(C,B)))&~element(A,powerset(B))))),
% 0.18/0.48 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.18/0.48 fof(f49,plain,(
% 0.18/0.48 ((![C]: (~in(C,sK3_skl)|in(C,sK4_skl)))&~element(sK3_skl,powerset(sK4_skl)))),
% 0.18/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl]),skolemize(A,sK3_skl),skolemize(B,sK4_skl)],[f48])).
% 0.18/0.48 fof(f50,plain,(
% 0.18/0.48 ![X0]: (~in(X0,sK3_skl)|in(X0,sK4_skl))),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f49])).
% 0.18/0.48 fof(f51,plain,(
% 0.18/0.48 ~element(sK3_skl,powerset(sK4_skl))),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f49])).
% 0.18/0.48 fof(f67,plain,(
% 0.18/0.48 ![A,B]: (~in(A,B)|~empty(B))),
% 0.18/0.48 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.18/0.48 fof(f68,plain,(
% 0.18/0.48 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 0.18/0.48 inference(miniscoping,[status(thm)],[f67])).
% 0.18/0.48 fof(f69,plain,(
% 0.18/0.48 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 0.18/0.48 inference(cnf_transformation,[status(thm)],[f68])).
% 0.18/0.48 fof(f74,plain,(
% 0.18/0.48 ![X0,X1]: (in(X0,powerset(X1))|~subset(X0,X1))),
% 0.18/0.48 inference(destructive_equality_resolution,[status(thm)],[f27])).
% 0.18/0.48 fof(f75,plain,(
% 0.18/0.48 ![X0,X1]: (element(X0,X1)|~in(X0,X1))),
% 0.18/0.48 inference(forward_subsumption_resolution,[status(thm)],[f34,f69])).
% 0.18/0.48 fof(f87,plain,(
% 0.18/0.48 ![X0]: (subset(sK3_skl,X0)|in(sK1_skl(X0,sK3_skl),sK4_skl))),
% 0.18/0.48 inference(resolution,[status(thm)],[f42,f50])).
% 0.18/0.48 fof(f130,plain,(
% 0.18/0.48 subset(sK3_skl,sK4_skl)|subset(sK3_skl,sK4_skl)),
% 0.18/0.48 inference(resolution,[status(thm)],[f43,f87])).
% 0.18/0.48 fof(f132,plain,(
% 0.18/0.48 subset(sK3_skl,sK4_skl)),
% 0.18/0.48 inference(duplicate_literals_removal,[status(thm)],[f130])).
% 0.18/0.48 fof(f146,plain,(
% 0.18/0.48 in(sK3_skl,powerset(sK4_skl))),
% 0.18/0.48 inference(resolution,[status(thm)],[f132,f74])).
% 0.18/0.48 fof(f195,plain,(
% 0.18/0.48 element(sK3_skl,powerset(sK4_skl))),
% 0.18/0.48 inference(resolution,[status(thm)],[f146,f75])).
% 0.18/0.48 fof(f198,plain,(
% 0.18/0.48 $false),
% 0.18/0.48 inference(forward_subsumption_resolution,[status(thm)],[f195,f51])).
% 0.18/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.51 % Elapsed time: 0.065037 seconds
% 0.22/0.51 % CPU time: 0.189907 seconds
% 0.22/0.51 % Total memory used: 58.251 MB
% 0.22/0.51 % Net memory used: 58.021 MB
%------------------------------------------------------------------------------