%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU147+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 : n017.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 02:21:47 PM UTC 2026
% Result : Theorem 16.05s 2.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU147+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 : n017.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 05:48:12 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 16.05/2.46 % Refutation found
% 16.05/2.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 16.05/2.46 % SZS output start CNFRefutation for theBenchmark
% 16.05/2.46 fof(f7,axiom,(
% 16.05/2.46 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 16.05/2.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.05/2.46 fof(f9,axiom,(
% 16.05/2.46 (! [A,B] :( B = powerset(A)<=> (! [C] :( in(C,B)<=> subset(C,A) ) )) )),
% 16.05/2.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.05/2.46 fof(f44,conjecture,(
% 16.05/2.46 powerset(empty_set) = singleton(empty_set) ),
% 16.05/2.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.05/2.46 fof(f45,negated_conjecture,(
% 16.05/2.46 ~(powerset(empty_set) = singleton(empty_set) )),
% 16.05/2.46 inference(negated_conjecture,[status(cth)],[f44])).
% 16.05/2.46 fof(f50,lemma,(
% 16.05/2.46 (! [A] : subset(empty_set,A) )),
% 16.05/2.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.05/2.46 fof(f57,lemma,(
% 16.05/2.46 (! [A] :( subset(A,empty_set)=> A = empty_set ) )),
% 16.05/2.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.05/2.46 fof(f84,plain,(
% 16.05/2.46 ![A,B]: ((~B=singleton(A)|(![C]: ((~in(C,B)|C=A)&(in(C,B)|~C=A))))&(B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 16.05/2.46 inference(NNF_transformation,[status(thm)],[f7])).
% 16.05/2.46 fof(f85,plain,(
% 16.05/2.46 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|(?[C]: ((~in(C,B)|~C=A)&(in(C,B)|C=A)))))),
% 16.05/2.46 inference(miniscoping,[status(thm)],[f84])).
% 16.05/2.46 fof(f86,plain,(
% 16.05/2.46 (![A,B]: (~B=singleton(A)|((![C]: (~in(C,B)|C=A))&(![C]: (in(C,B)|~C=A)))))&(![A,B]: (B=singleton(A)|((~in(sK0_skl(B,A),B)|~sK0_skl(B,A)=A)&(in(sK0_skl(B,A),B)|sK0_skl(B,A)=A))))),
% 16.05/2.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f85])).
% 16.05/2.46 fof(f89,plain,(
% 16.05/2.46 ![X0,X1]: (X0=singleton(X1)|~in(sK0_skl(X0,X1),X0)|~sK0_skl(X0,X1)=X1)),
% 16.05/2.46 inference(cnf_transformation,[status(thm)],[f86])).
% 16.05/2.46 fof(f90,plain,(
% 16.05/2.46 ![X0,X1]: (X0=singleton(X1)|in(sK0_skl(X0,X1),X0)|sK0_skl(X0,X1)=X1)),
% 16.05/2.46 inference(cnf_transformation,[status(thm)],[f86])).
% 16.05/2.46 fof(f96,plain,(
% 16.05/2.46 ![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))))))),
% 16.05/2.46 inference(NNF_transformation,[status(thm)],[f9])).
% 16.05/2.46 fof(f97,plain,(
% 16.05/2.46 (![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))))))),
% 16.05/2.46 inference(miniscoping,[status(thm)],[f96])).
% 16.05/2.46 fof(f98,plain,(
% 16.05/2.46 (![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)))))),
% 16.05/2.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(C,sK2_skl(B,A))],[f97])).
% 16.05/2.46 fof(f99,plain,(
% 16.05/2.46 ![X0,X1,X2]: (~X0=powerset(X1)|~in(X2,X0)|subset(X2,X1))),
% 16.05/2.46 inference(cnf_transformation,[status(thm)],[f98])).
% 16.05/2.46 fof(f100,plain,(
% 16.05/2.46 ![X0,X1,X2]: (~X0=powerset(X1)|in(X2,X0)|~subset(X2,X1))),
% 16.05/2.46 inference(cnf_transformation,[status(thm)],[f98])).
% 16.05/2.46 fof(f202,plain,(
% 16.05/2.46 ~powerset(empty_set)=singleton(empty_set)),
% 16.05/2.46 inference(cnf_transformation,[status(thm)],[f45])).
% 16.05/2.46 fof(f214,plain,(
% 16.05/2.46 ![X0]: (subset(empty_set,X0))),
% 16.05/2.46 inference(cnf_transformation,[status(thm)],[f50])).
% 16.05/2.46 fof(f231,plain,(
% 16.05/2.46 ![A]: (~subset(A,empty_set)|A=empty_set)),
% 16.05/2.46 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 16.05/2.46 fof(f232,plain,(
% 16.05/2.46 ![X0]: (~subset(X0,empty_set)|X0=empty_set)),
% 16.05/2.46 inference(cnf_transformation,[status(thm)],[f231])).
% 16.05/2.46 fof(f269,plain,(
% 16.05/2.46 ![X0,X1]: (~in(X0,powerset(X1))|subset(X0,X1))),
% 16.05/2.46 inference(destructive_equality_resolution,[status(thm)],[f99])).
% 16.05/2.46 fof(f270,plain,(
% 16.05/2.46 ![X0,X1]: (in(X0,powerset(X1))|~subset(X0,X1))),
% 16.05/2.46 inference(destructive_equality_resolution,[status(thm)],[f100])).
% 16.05/2.46 fof(f305,plain,(
% 16.05/2.46 ![X0]: (in(empty_set,powerset(X0)))),
% 16.05/2.46 inference(resolution,[status(thm)],[f214,f270])).
% 16.05/2.46 fof(f319,plain,(
% 16.05/2.46 ![X0,X1]: (powerset(X0)=singleton(X1)|sK0_skl(powerset(X0),X1)=X1|subset(sK0_skl(powerset(X0),X1),X0))),
% 16.05/2.46 inference(resolution,[status(thm)],[f90,f269])).
% 16.05/2.46 fof(f407,plain,(
% 16.05/2.46 ![X0]: (powerset(empty_set)=singleton(X0)|sK0_skl(powerset(empty_set),X0)=X0|sK0_skl(powerset(empty_set),X0)=empty_set)),
% 16.05/2.48 inference(resolution,[status(thm)],[f319,f232])).
% 16.05/2.48 fof(f13570,plain,(
% 16.05/2.48 ![X0]: (powerset(empty_set)=singleton(X0)|~X0=empty_set|sK0_skl(powerset(empty_set),X0)=empty_set)),
% 16.05/2.48 inference(equality_factoring,[status(thm)],[f407])).
% 16.05/2.48 fof(f13580,plain,(
% 16.05/2.48 powerset(empty_set)=singleton(empty_set)|sK0_skl(powerset(empty_set),empty_set)=empty_set),
% 16.05/2.48 inference(destructive_equality_resolution,[status(thm)],[f13570])).
% 16.05/2.48 fof(f13581,plain,(
% 16.05/2.48 sK0_skl(powerset(empty_set),empty_set)=empty_set),
% 16.05/2.48 inference(forward_subsumption_resolution,[status(thm)],[f13580,f202])).
% 16.05/2.48 fof(f13991,plain,(
% 16.05/2.48 powerset(empty_set)=singleton(empty_set)|~in(empty_set,powerset(empty_set))|~sK0_skl(powerset(empty_set),empty_set)=empty_set),
% 16.05/2.48 inference(paramodulation,[status(thm)],[f13581,f89])).
% 16.05/2.48 fof(f13993,plain,(
% 16.05/2.48 powerset(empty_set)=singleton(empty_set)|~in(empty_set,powerset(empty_set))|~empty_set=empty_set),
% 16.05/2.48 inference(forward_demodulation,[status(thm)],[f13581,f13991])).
% 16.05/2.48 fof(f13994,plain,(
% 16.05/2.48 powerset(empty_set)=singleton(empty_set)|~in(empty_set,powerset(empty_set))),
% 16.05/2.48 inference(trivial_equality_resolution,[status(thm)],[f13993])).
% 16.05/2.48 fof(f13995,plain,(
% 16.05/2.48 ~in(empty_set,powerset(empty_set))),
% 16.05/2.48 inference(forward_subsumption_resolution,[status(thm)],[f13994,f202])).
% 16.05/2.48 fof(f13996,plain,(
% 16.05/2.48 $false),
% 16.05/2.48 inference(forward_subsumption_resolution,[status(thm)],[f13995,f305])).
% 16.05/2.48 % SZS output end CNFRefutation for theBenchmark.p
% 16.05/2.50 % Elapsed time: 2.124967 seconds
% 16.05/2.50 % CPU time: 16.552296 seconds
% 16.05/2.50 % Total memory used: 255.756 MB
% 16.05/2.50 % Net memory used: 232.631 MB
%------------------------------------------------------------------------------