%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET933+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 02:12:53 PM UTC 2026
% Result : Theorem 0.13s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET933+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39 % Computer : n015.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 21 05:47:05 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.40 % Drodi V4.1.1
% 0.13/0.43 % Refutation found
% 0.13/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.43 fof(f2,axiom,(
% 0.13/0.43 (! [A,B] :( B = powerset(A)<=> (! [C] :( in(C,B)<=> subset(C,A) ) )) )),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f3,axiom,(
% 0.13/0.43 (! [A,B] :( subset(singleton(A),B)<=> in(A,B) ) )),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f6,axiom,(
% 0.13/0.43 (! [A,B] : subset(A,A) )),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f7,conjecture,(
% 0.13/0.43 (! [A] : subset(singleton(A),powerset(A)) )),
% 0.13/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.43 fof(f8,negated_conjecture,(
% 0.13/0.43 ~((! [A] : subset(singleton(A),powerset(A)) ))),
% 0.13/0.43 inference(negated_conjecture,[status(cth)],[f7])).
% 0.13/0.43 fof(f11,plain,(
% 0.13/0.43 ![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))))))),
% 0.13/0.43 inference(NNF_transformation,[status(thm)],[f2])).
% 0.13/0.43 fof(f12,plain,(
% 0.13/0.43 (![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))))))),
% 0.13/0.43 inference(miniscoping,[status(thm)],[f11])).
% 0.13/0.43 fof(f13,plain,(
% 0.13/0.43 (![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)))))),
% 0.13/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f12])).
% 0.13/0.43 fof(f15,plain,(
% 0.13/0.43 ![X0,X1,X2]: (~X0=powerset(X1)|in(X2,X0)|~subset(X2,X1))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.43 fof(f18,plain,(
% 0.13/0.43 ![A,B]: ((~subset(singleton(A),B)|in(A,B))&(subset(singleton(A),B)|~in(A,B)))),
% 0.13/0.43 inference(NNF_transformation,[status(thm)],[f3])).
% 0.13/0.43 fof(f19,plain,(
% 0.13/0.43 (![A,B]: (~subset(singleton(A),B)|in(A,B)))&(![A,B]: (subset(singleton(A),B)|~in(A,B)))),
% 0.13/0.43 inference(miniscoping,[status(thm)],[f18])).
% 0.13/0.43 fof(f21,plain,(
% 0.13/0.43 ![X0,X1]: (subset(singleton(X0),X1)|~in(X0,X1))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.43 fof(f26,plain,(
% 0.13/0.43 ![A]: subset(A,A)),
% 0.13/0.43 inference(miniscoping,[status(thm)],[f6])).
% 0.13/0.43 fof(f27,plain,(
% 0.13/0.43 ![X0]: (subset(X0,X0))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.43 fof(f28,plain,(
% 0.13/0.43 (?[A]: ~subset(singleton(A),powerset(A)))),
% 0.13/0.43 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.13/0.43 fof(f29,plain,(
% 0.13/0.43 ~subset(singleton(sK3_skl),powerset(sK3_skl))),
% 0.13/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(A,sK3_skl)],[f28])).
% 0.13/0.43 fof(f30,plain,(
% 0.13/0.43 ~subset(singleton(sK3_skl),powerset(sK3_skl))),
% 0.13/0.43 inference(cnf_transformation,[status(thm)],[f29])).
% 0.13/0.43 fof(f32,plain,(
% 0.13/0.43 ![X0,X1]: (in(X0,powerset(X1))|~subset(X0,X1))),
% 0.13/0.43 inference(destructive_equality_resolution,[status(thm)],[f15])).
% 0.13/0.43 fof(f35,plain,(
% 0.13/0.43 ~in(sK3_skl,powerset(sK3_skl))),
% 0.13/0.43 inference(resolution,[status(thm)],[f21,f30])).
% 0.13/0.43 fof(f37,plain,(
% 0.13/0.43 ~subset(sK3_skl,sK3_skl)),
% 0.13/0.43 inference(resolution,[status(thm)],[f35,f32])).
% 0.13/0.43 fof(f38,plain,(
% 0.13/0.43 $false),
% 0.13/0.43 inference(forward_subsumption_resolution,[status(thm)],[f37,f27])).
% 0.13/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.46 % Elapsed time: 0.057921 seconds
% 0.13/0.46 % CPU time: 0.161927 seconds
% 0.13/0.46 % Total memory used: 67.362 MB
% 0.13/0.46 % Net memory used: 66.949 MB
%------------------------------------------------------------------------------