%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET947+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 : 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 02:12:54 PM UTC 2026
% Result : Theorem 0.02s 20.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET947+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/20.40 % Computer : n017.cluster.edu
% 0.09/20.40 % Model : x86_64 x86_64
% 0.09/20.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/20.40 % Memory : 8046.5625MB
% 0.09/20.40 % OS : Linux 6.8.0-71-generic
% 0.02/20.40 % CPULimit : 300
% 0.02/20.40 % WCLimit : 300
% 0.02/20.40 % DateTime : Mon Sep 21 05:40:32 UTC 2026
% 0.02/20.40 % CPUTime :
% 0.02/20.42 % Drodi V4.1.1
% 0.02/20.43 % Refutation found
% 0.02/20.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.02/20.43 % SZS output start CNFRefutation for theBenchmark
% 0.02/20.43 fof(f2,axiom,(
% 0.02/20.43 (! [A,B] :( B = powerset(A)<=> (! [C] :( in(C,B)<=> subset(C,A) ) )) )),
% 0.02/20.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/20.43 fof(f3,axiom,(
% 0.02/20.43 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.02/20.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/20.43 fof(f4,axiom,(
% 0.02/20.43 (! [A,B] :( in(A,B)=> subset(A,union(B)) ) )),
% 0.02/20.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/20.43 fof(f8,conjecture,(
% 0.02/20.43 (! [A] : subset(A,powerset(union(A))) )),
% 0.02/20.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.02/20.43 fof(f9,negated_conjecture,(
% 0.02/20.43 ~((! [A] : subset(A,powerset(union(A))) ))),
% 0.02/20.43 inference(negated_conjecture,[status(cth)],[f8])).
% 0.02/20.43 fof(f12,plain,(
% 0.02/20.43 ![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))))))),
% 0.02/20.43 inference(NNF_transformation,[status(thm)],[f2])).
% 0.02/20.43 fof(f13,plain,(
% 0.02/20.43 (![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))))))),
% 0.02/20.43 inference(miniscoping,[status(thm)],[f12])).
% 0.02/20.43 fof(f14,plain,(
% 0.02/20.43 (![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)))))),
% 0.02/20.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f13])).
% 0.02/20.43 fof(f16,plain,(
% 0.02/20.43 ![X0,X1,X2]: (~X0=powerset(X1)|in(X2,X0)|~subset(X2,X1))),
% 0.02/20.43 inference(cnf_transformation,[status(thm)],[f14])).
% 0.02/20.43 fof(f19,plain,(
% 0.02/20.43 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.02/20.43 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.02/20.43 fof(f20,plain,(
% 0.02/20.43 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.02/20.43 inference(NNF_transformation,[status(thm)],[f19])).
% 0.02/20.43 fof(f21,plain,(
% 0.02/20.43 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.02/20.43 inference(miniscoping,[status(thm)],[f20])).
% 0.02/20.43 fof(f22,plain,(
% 0.02/20.43 (![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))))),
% 0.02/20.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(C,sK1_skl(B,A))],[f21])).
% 0.02/20.43 fof(f24,plain,(
% 0.02/20.43 ![X0,X1]: (subset(X0,X1)|in(sK1_skl(X1,X0),X0))),
% 0.02/20.43 inference(cnf_transformation,[status(thm)],[f22])).
% 0.02/20.43 fof(f25,plain,(
% 0.02/20.43 ![X0,X1]: (subset(X0,X1)|~in(sK1_skl(X1,X0),X1))),
% 0.02/20.43 inference(cnf_transformation,[status(thm)],[f22])).
% 0.02/20.43 fof(f26,plain,(
% 0.02/20.43 ![A,B]: (~in(A,B)|subset(A,union(B)))),
% 0.02/20.43 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.02/20.43 fof(f27,plain,(
% 0.02/20.43 ![X0,X1]: (~in(X0,X1)|subset(X0,union(X1)))),
% 0.02/20.43 inference(cnf_transformation,[status(thm)],[f26])).
% 0.02/20.43 fof(f34,plain,(
% 0.02/20.43 (?[A]: ~subset(A,powerset(union(A))))),
% 0.02/20.43 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.02/20.43 fof(f35,plain,(
% 0.02/20.43 ~subset(sK4_skl,powerset(union(sK4_skl)))),
% 0.02/20.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(A,sK4_skl)],[f34])).
% 0.02/20.43 fof(f36,plain,(
% 0.02/20.43 ~subset(sK4_skl,powerset(union(sK4_skl)))),
% 0.02/20.43 inference(cnf_transformation,[status(thm)],[f35])).
% 0.02/20.43 fof(f38,plain,(
% 0.02/20.43 ![X0,X1]: (in(X0,powerset(X1))|~subset(X0,X1))),
% 0.02/20.43 inference(destructive_equality_resolution,[status(thm)],[f16])).
% 0.02/20.43 fof(f47,plain,(
% 0.02/20.43 ![X0,X1]: (subset(X0,X1)|subset(sK1_skl(X1,X0),union(X0)))),
% 0.02/20.43 inference(resolution,[status(thm)],[f24,f27])).
% 0.02/20.43 fof(f50,plain,(
% 0.02/20.43 ![X0,X1]: (subset(X0,X1)|in(sK1_skl(X1,X0),powerset(union(X0))))),
% 0.02/20.43 inference(resolution,[status(thm)],[f47,f38])).
% 0.02/20.43 fof(f53,plain,(
% 0.02/20.43 ![X0]: (subset(X0,powerset(union(X0)))|subset(X0,powerset(union(X0))))),
% 0.02/20.43 inference(resolution,[status(thm)],[f50,f25])).
% 0.02/20.43 fof(f58,plain,(
% 0.02/20.43 ![X0]: (subset(X0,powerset(union(X0))))),
% 0.02/20.43 inference(duplicate_literals_removal,[status(thm)],[f53])).
% 0.02/20.43 fof(f59,plain,(
% 0.02/20.43 $false),
% 0.02/20.43 inference(backward_subsumption_resolution,[status(thm)],[f36,f58])).
% 0.02/20.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.02/20.49 % Elapsed time: 0.078227 seconds
% 0.02/20.49 % CPU time: 0.117357 seconds
% 0.02/20.49 % Total memory used: 12.982 MB
% 0.02/20.49 % Net memory used: 12.902 MB
%------------------------------------------------------------------------------