%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU169+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 : n011.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 02:21:53 PM UTC 2026
% Result : Theorem 0.16s 5.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU169+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/5.37 % Computer : n011.cluster.edu
% 0.13/5.37 % Model : x86_64 x86_64
% 0.13/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.37 % Memory : 8046.5625MB
% 0.13/5.37 % OS : Linux 6.8.0-71-generic
% 0.13/5.37 % CPULimit : 300
% 0.13/5.37 % WCLimit : 300
% 0.13/5.37 % DateTime : Mon Sep 21 05:54:45 UTC 2026
% 0.13/5.38 % CPUTime :
% 0.13/5.39 % Drodi V4.1.1
% 0.16/5.41 % Refutation found
% 0.16/5.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/5.41 % SZS output start CNFRefutation for theBenchmark
% 0.16/5.41 fof(f2,axiom,(
% 0.16/5.41 (! [A,B] :( B = powerset(A)<=> (! [C] :( in(C,B)<=> subset(C,A) ) )) )),
% 0.16/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.41 fof(f3,axiom,(
% 0.16/5.41 (! [A,B] :( ( ~ empty(A)=> ( element(B,A)<=> in(B,A) ) )& ( empty(A)=> ( element(B,A)<=> empty(B) ) ) ) )),
% 0.16/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.41 fof(f4,axiom,(
% 0.16/5.41 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.16/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.41 fof(f9,axiom,(
% 0.16/5.41 (! [A] : ~ empty(powerset(A)) )),
% 0.16/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.41 fof(f11,conjecture,(
% 0.16/5.41 (! [A,B] :( element(B,powerset(A))=> (! [C] :( in(C,B)=> in(C,A) ) )) )),
% 0.16/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/5.41 fof(f12,negated_conjecture,(
% 0.16/5.41 ~((! [A,B] :( element(B,powerset(A))=> (! [C] :( in(C,B)=> in(C,A) ) )) ))),
% 0.16/5.41 inference(negated_conjecture,[status(cth)],[f11])).
% 0.16/5.41 fof(f22,plain,(
% 0.16/5.41 ![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))))))),
% 0.16/5.41 inference(NNF_transformation,[status(thm)],[f2])).
% 0.16/5.41 fof(f23,plain,(
% 0.16/5.41 (![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))))))),
% 0.16/5.41 inference(miniscoping,[status(thm)],[f22])).
% 0.16/5.41 fof(f24,plain,(
% 0.16/5.41 (![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)))))),
% 0.16/5.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f23])).
% 0.16/5.41 fof(f25,plain,(
% 0.16/5.41 ![X0,X1,X2]: (~X0=powerset(X1)|~in(X2,X0)|subset(X2,X1))),
% 0.16/5.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.16/5.41 fof(f29,plain,(
% 0.16/5.41 ![A,B]: ((empty(A)|(element(B,A)<=>in(B,A)))&(~empty(A)|(element(B,A)<=>empty(B))))),
% 0.16/5.41 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.16/5.41 fof(f30,plain,(
% 0.16/5.41 ![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)))))),
% 0.16/5.41 inference(NNF_transformation,[status(thm)],[f29])).
% 0.16/5.41 fof(f31,plain,(
% 0.16/5.41 (![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))))))),
% 0.16/5.41 inference(miniscoping,[status(thm)],[f30])).
% 0.16/5.41 fof(f32,plain,(
% 0.16/5.41 ![X0,X1]: (empty(X0)|~element(X1,X0)|in(X1,X0))),
% 0.16/5.41 inference(cnf_transformation,[status(thm)],[f31])).
% 0.16/5.41 fof(f36,plain,(
% 0.16/5.41 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.16/5.41 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.16/5.41 fof(f37,plain,(
% 0.16/5.41 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.16/5.41 inference(NNF_transformation,[status(thm)],[f36])).
% 0.16/5.41 fof(f38,plain,(
% 0.16/5.41 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.16/5.41 inference(miniscoping,[status(thm)],[f37])).
% 0.16/5.41 fof(f39,plain,(
% 0.16/5.41 (![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))))),
% 0.16/5.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(C,sK1_skl(B,A))],[f38])).
% 0.16/5.41 fof(f40,plain,(
% 0.16/5.41 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 0.16/5.41 inference(cnf_transformation,[status(thm)],[f39])).
% 0.16/5.41 fof(f45,plain,(
% 0.16/5.41 ![X0]: (~empty(powerset(X0)))),
% 0.16/5.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.16/5.41 fof(f47,plain,(
% 0.16/5.41 (?[A,B]: (element(B,powerset(A))&(?[C]: (in(C,B)&~in(C,A)))))),
% 0.16/5.41 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.16/5.41 fof(f48,plain,(
% 0.16/5.41 (element(sK4_skl,powerset(sK3_skl))&(in(sK5_skl,sK4_skl)&~in(sK5_skl,sK3_skl)))),
% 0.16/5.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(A,sK3_skl),skolemize(B,sK4_skl),skolemize(C,sK5_skl)],[f47])).
% 0.16/5.41 fof(f49,plain,(
% 0.16/5.41 element(sK4_skl,powerset(sK3_skl))),
% 0.16/5.41 inference(cnf_transformation,[status(thm)],[f48])).
% 0.16/5.41 fof(f50,plain,(
% 0.16/5.41 in(sK5_skl,sK4_skl)),
% 0.16/5.41 inference(cnf_transformation,[status(thm)],[f48])).
% 0.16/5.41 fof(f51,plain,(
% 0.16/5.41 ~in(sK5_skl,sK3_skl)),
% 0.16/5.41 inference(cnf_transformation,[status(thm)],[f48])).
% 0.16/5.41 fof(f70,plain,(
% 0.16/5.41 ![X0,X1]: (~in(X0,powerset(X1))|subset(X0,X1))),
% 0.16/5.41 inference(destructive_equality_resolution,[status(thm)],[f25])).
% 0.16/5.41 fof(f76,plain,(
% 0.16/5.41 empty(powerset(sK3_skl))|in(sK4_skl,powerset(sK3_skl))),
% 0.16/5.41 inference(resolution,[status(thm)],[f32,f49])).
% 0.16/5.41 fof(f77,plain,(
% 0.16/5.41 in(sK4_skl,powerset(sK3_skl))),
% 0.16/5.41 inference(forward_subsumption_resolution,[status(thm)],[f76,f45])).
% 0.16/5.41 fof(f78,plain,(
% 0.16/5.41 subset(sK4_skl,sK3_skl)),
% 0.16/5.41 inference(resolution,[status(thm)],[f77,f70])).
% 0.16/5.41 fof(f108,plain,(
% 0.16/5.41 ![X0]: (~in(X0,sK4_skl)|in(X0,sK3_skl))),
% 0.16/5.41 inference(resolution,[status(thm)],[f40,f78])).
% 0.16/5.41 fof(f111,plain,(
% 0.16/5.41 in(sK5_skl,sK3_skl)),
% 0.16/5.41 inference(resolution,[status(thm)],[f108,f50])).
% 0.16/5.41 fof(f112,plain,(
% 0.16/5.41 $false),
% 0.16/5.41 inference(forward_subsumption_resolution,[status(thm)],[f111,f51])).
% 0.16/5.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/5.43 % Elapsed time: 0.050643 seconds
% 0.16/5.43 % CPU time: 0.156249 seconds
% 0.16/5.43 % Total memory used: 80.619 MB
% 0.16/5.43 % Net memory used: 80.311 MB
%------------------------------------------------------------------------------