%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU147+3 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 0.10s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU147+3 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 05:55:32 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.38 fof(f2,axiom,(
% 0.10/0.38 (! [A,B] :( B = singleton(A)<=> (! [C] :( in(C,B)<=> C = A ) )) )),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f3,axiom,(
% 0.10/0.38 (! [A,B] :( B = powerset(A)<=> (! [C] :( in(C,B)<=> subset(C,A) ) )) )),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f7,axiom,(
% 0.10/0.38 (! [A,B] : subset(A,A) )),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f8,conjecture,(
% 0.10/0.38 powerset(empty_set) = singleton(empty_set) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f9,negated_conjecture,(
% 0.10/0.38 ~(powerset(empty_set) = singleton(empty_set) )),
% 0.10/0.38 inference(negated_conjecture,[status(cth)],[f8])).
% 0.10/0.38 fof(f11,axiom,(
% 0.10/0.38 (! [A] :( subset(A,empty_set)=> A = empty_set ) )),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f14,plain,(
% 0.10/0.38 ![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)))))),
% 0.10/0.38 inference(NNF_transformation,[status(thm)],[f2])).
% 0.10/0.38 fof(f15,plain,(
% 0.10/0.38 (![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)))))),
% 0.10/0.38 inference(miniscoping,[status(thm)],[f14])).
% 0.10/0.38 fof(f16,plain,(
% 0.10/0.38 (![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))))),
% 0.10/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f15])).
% 0.10/0.38 fof(f19,plain,(
% 0.10/0.38 ![X0,X1]: (X0=singleton(X1)|~in(sK0_skl(X0,X1),X0)|~sK0_skl(X0,X1)=X1)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.38 fof(f20,plain,(
% 0.10/0.38 ![X0,X1]: (X0=singleton(X1)|in(sK0_skl(X0,X1),X0)|sK0_skl(X0,X1)=X1)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.10/0.38 fof(f21,plain,(
% 0.10/0.38 ![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))))))),
% 0.10/0.38 inference(NNF_transformation,[status(thm)],[f3])).
% 0.10/0.38 fof(f22,plain,(
% 0.10/0.38 (![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))))))),
% 0.10/0.38 inference(miniscoping,[status(thm)],[f21])).
% 0.10/0.38 fof(f23,plain,(
% 0.10/0.38 (![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(sK1_skl(B,A),B)|~subset(sK1_skl(B,A),A))&(in(sK1_skl(B,A),B)|subset(sK1_skl(B,A),A)))))),
% 0.10/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(C,sK1_skl(B,A))],[f22])).
% 0.10/0.38 fof(f24,plain,(
% 0.10/0.38 ![X0,X1,X2]: (~X0=powerset(X1)|~in(X2,X0)|subset(X2,X1))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.10/0.38 fof(f25,plain,(
% 0.10/0.38 ![X0,X1,X2]: (~X0=powerset(X1)|in(X2,X0)|~subset(X2,X1))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f23])).
% 0.10/0.38 fof(f33,plain,(
% 0.10/0.38 ![A]: subset(A,A)),
% 0.10/0.38 inference(miniscoping,[status(thm)],[f7])).
% 0.10/0.38 fof(f34,plain,(
% 0.10/0.38 ![X0]: (subset(X0,X0))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f33])).
% 0.10/0.38 fof(f35,plain,(
% 0.10/0.38 ~powerset(empty_set)=singleton(empty_set)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.38 fof(f41,plain,(
% 0.10/0.38 ![A]: (~subset(A,empty_set)|A=empty_set)),
% 0.10/0.38 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.10/0.38 fof(f42,plain,(
% 0.10/0.38 ![X0]: (~subset(X0,empty_set)|X0=empty_set)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f41])).
% 0.10/0.38 fof(f45,plain,(
% 0.10/0.38 ![X0,X1]: (~in(X0,powerset(X1))|subset(X0,X1))),
% 0.10/0.38 inference(destructive_equality_resolution,[status(thm)],[f24])).
% 0.10/0.38 fof(f46,plain,(
% 0.10/0.38 ![X0,X1]: (in(X0,powerset(X1))|~subset(X0,X1))),
% 0.10/0.38 inference(destructive_equality_resolution,[status(thm)],[f25])).
% 0.10/0.38 fof(f50,plain,(
% 0.10/0.38 ![X0,X1]: (powerset(X0)=singleton(X1)|sK0_skl(powerset(X0),X1)=X1|subset(sK0_skl(powerset(X0),X1),X0))),
% 0.10/0.38 inference(resolution,[status(thm)],[f20,f45])).
% 0.10/0.38 fof(f60,plain,(
% 0.10/0.38 ![X0]: (in(X0,powerset(X0)))),
% 0.10/0.38 inference(resolution,[status(thm)],[f34,f46])).
% 0.10/0.38 fof(f76,plain,(
% 0.10/0.38 ![X0]: (powerset(empty_set)=singleton(X0)|sK0_skl(powerset(empty_set),X0)=X0|sK0_skl(powerset(empty_set),X0)=empty_set)),
% 0.10/0.38 inference(resolution,[status(thm)],[f50,f42])).
% 0.10/0.38 fof(f149,plain,(
% 0.10/0.38 ![X0]: (powerset(empty_set)=singleton(X0)|~X0=empty_set|sK0_skl(powerset(empty_set),X0)=empty_set)),
% 0.10/0.38 inference(equality_factoring,[status(thm)],[f76])).
% 0.10/0.38 fof(f155,plain,(
% 0.10/0.38 powerset(empty_set)=singleton(empty_set)|sK0_skl(powerset(empty_set),empty_set)=empty_set),
% 0.10/0.38 inference(destructive_equality_resolution,[status(thm)],[f149])).
% 0.10/0.38 fof(f156,plain,(
% 0.10/0.38 sK0_skl(powerset(empty_set),empty_set)=empty_set),
% 0.10/0.38 inference(forward_subsumption_resolution,[status(thm)],[f155,f35])).
% 0.10/0.38 fof(f162,plain,(
% 0.10/0.38 powerset(empty_set)=singleton(empty_set)|~in(empty_set,powerset(empty_set))|~sK0_skl(powerset(empty_set),empty_set)=empty_set),
% 0.10/0.38 inference(paramodulation,[status(thm)],[f156,f19])).
% 0.10/0.38 fof(f163,plain,(
% 0.10/0.38 powerset(empty_set)=singleton(empty_set)|~in(empty_set,powerset(empty_set))|~empty_set=empty_set),
% 0.10/0.38 inference(forward_demodulation,[status(thm)],[f156,f162])).
% 0.10/0.38 fof(f164,plain,(
% 0.10/0.38 powerset(empty_set)=singleton(empty_set)|~in(empty_set,powerset(empty_set))),
% 0.10/0.38 inference(trivial_equality_resolution,[status(thm)],[f163])).
% 0.10/0.38 fof(f165,plain,(
% 0.10/0.38 ~in(empty_set,powerset(empty_set))),
% 0.10/0.38 inference(forward_subsumption_resolution,[status(thm)],[f164,f35])).
% 0.10/0.38 fof(f166,plain,(
% 0.10/0.38 $false),
% 0.10/0.38 inference(forward_subsumption_resolution,[status(thm)],[f165,f60])).
% 0.10/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.046119 seconds
% 0.13/0.42 % CPU time: 0.079117 seconds
% 0.13/0.42 % Total memory used: 12.722 MB
% 0.13/0.42 % Net memory used: 12.688 MB
%------------------------------------------------------------------------------