%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU164+3 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 02:21:52 PM UTC 2026
% Result : Theorem 4.99s 1.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU164+3 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n016.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 05:58:37 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 4.99/1.35 % Refutation found
% 4.99/1.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.99/1.35 % SZS output start CNFRefutation for theBenchmark
% 4.99/1.35 fof(f3,axiom,(
% 4.99/1.35 (! [A,B] :( B = powerset(A)<=> (! [C] :( in(C,B)<=> subset(C,A) ) )) )),
% 4.99/1.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.99/1.35 fof(f4,axiom,(
% 4.99/1.35 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 4.99/1.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.99/1.35 fof(f5,axiom,(
% 4.99/1.35 (! [A,B] :( B = union(A)<=> (! [C] :( in(C,B)<=> (? [D] :( in(C,D)& in(D,A) ) )) )) )),
% 4.99/1.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.99/1.35 fof(f9,axiom,(
% 4.99/1.35 (! [A,B] : subset(A,A) )),
% 4.99/1.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.99/1.35 fof(f11,conjecture,(
% 4.99/1.35 (! [A] : union(powerset(A)) = A )),
% 4.99/1.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.99/1.35 fof(f12,negated_conjecture,(
% 4.99/1.35 ~((! [A] : union(powerset(A)) = A ))),
% 4.99/1.35 inference(negated_conjecture,[status(cth)],[f11])).
% 4.99/1.35 fof(f22,plain,(
% 4.99/1.35 ![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))))))),
% 4.99/1.35 inference(NNF_transformation,[status(thm)],[f3])).
% 4.99/1.35 fof(f23,plain,(
% 4.99/1.35 (![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))))))),
% 4.99/1.35 inference(miniscoping,[status(thm)],[f22])).
% 4.99/1.35 fof(f24,plain,(
% 4.99/1.35 (![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)))))),
% 4.99/1.35 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(C,sK1_skl(B,A))],[f23])).
% 4.99/1.35 fof(f25,plain,(
% 4.99/1.35 ![X0,X1,X2]: (~X0=powerset(X1)|~in(X2,X0)|subset(X2,X1))),
% 4.99/1.35 inference(cnf_transformation,[status(thm)],[f24])).
% 4.99/1.35 fof(f26,plain,(
% 4.99/1.35 ![X0,X1,X2]: (~X0=powerset(X1)|in(X2,X0)|~subset(X2,X1))),
% 4.99/1.35 inference(cnf_transformation,[status(thm)],[f24])).
% 4.99/1.35 fof(f29,plain,(
% 4.99/1.35 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 4.99/1.35 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 4.99/1.35 fof(f30,plain,(
% 4.99/1.35 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 4.99/1.35 inference(NNF_transformation,[status(thm)],[f29])).
% 4.99/1.35 fof(f31,plain,(
% 4.99/1.35 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 4.99/1.35 inference(miniscoping,[status(thm)],[f30])).
% 4.99/1.35 fof(f32,plain,(
% 4.99/1.35 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sK2_skl(B,A),A)&~in(sK2_skl(B,A),B))))),
% 4.99/1.35 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(C,sK2_skl(B,A))],[f31])).
% 4.99/1.35 fof(f33,plain,(
% 4.99/1.35 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 4.99/1.35 inference(cnf_transformation,[status(thm)],[f32])).
% 4.99/1.35 fof(f36,plain,(
% 4.99/1.35 ![A,B]: ((~B=union(A)|(![C]: ((~in(C,B)|(?[D]: (in(C,D)&in(D,A))))&(in(C,B)|(![D]: (~in(C,D)|~in(D,A)))))))&(B=union(A)|(?[C]: ((~in(C,B)|(![D]: (~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]: (in(C,D)&in(D,A))))))))),
% 4.99/1.35 inference(NNF_transformation,[status(thm)],[f5])).
% 4.99/1.35 fof(f37,plain,(
% 4.99/1.35 (![A,B]: (~B=union(A)|((![C]: (~in(C,B)|(?[D]: (in(C,D)&in(D,A)))))&(![C]: (in(C,B)|(![D]: (~in(C,D)|~in(D,A))))))))&(![A,B]: (B=union(A)|(?[C]: ((~in(C,B)|(![D]: (~in(C,D)|~in(D,A))))&(in(C,B)|(?[D]: (in(C,D)&in(D,A))))))))),
% 4.99/1.35 inference(miniscoping,[status(thm)],[f36])).
% 4.99/1.35 fof(f38,plain,(
% 4.99/1.35 (![A,B]: (~B=union(A)|((![C]: (~in(C,B)|(in(C,sK3_skl(C,B,A))&in(sK3_skl(C,B,A),A))))&(![C]: (in(C,B)|(![D]: (~in(C,D)|~in(D,A))))))))&(![A,B]: (B=union(A)|((~in(sK4_skl(B,A),B)|(![D]: (~in(sK4_skl(B,A),D)|~in(D,A))))&(in(sK4_skl(B,A),B)|(in(sK4_skl(B,A),sK5_skl(B,A))&in(sK5_skl(B,A),A))))))),
% 4.99/1.35 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(D,sK3_skl(C,B,A)),skolemize(C,sK4_skl(B,A)),skolemize(D,sK5_skl(B,A))],[f37])).
% 4.99/1.35 fof(f42,plain,(
% 4.99/1.35 ![X0,X1,X2]: (X0=union(X1)|~in(sK4_skl(X0,X1),X0)|~in(sK4_skl(X0,X1),X2)|~in(X2,X1))),
% 4.99/1.35 inference(cnf_transformation,[status(thm)],[f38])).
% 4.99/1.35 fof(f43,plain,(
% 4.99/1.35 ![X0,X1]: (X0=union(X1)|in(sK4_skl(X0,X1),X0)|in(sK4_skl(X0,X1),sK5_skl(X0,X1)))),
% 4.99/1.37 inference(cnf_transformation,[status(thm)],[f38])).
% 4.99/1.37 fof(f44,plain,(
% 4.99/1.37 ![X0,X1]: (X0=union(X1)|in(sK4_skl(X0,X1),X0)|in(sK5_skl(X0,X1),X1))),
% 4.99/1.37 inference(cnf_transformation,[status(thm)],[f38])).
% 4.99/1.37 fof(f53,plain,(
% 4.99/1.37 ![A]: subset(A,A)),
% 4.99/1.37 inference(miniscoping,[status(thm)],[f9])).
% 4.99/1.37 fof(f54,plain,(
% 4.99/1.37 ![X0]: (subset(X0,X0))),
% 4.99/1.37 inference(cnf_transformation,[status(thm)],[f53])).
% 4.99/1.37 fof(f60,plain,(
% 4.99/1.37 (?[A]: ~union(powerset(A))=A)),
% 4.99/1.37 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 4.99/1.37 fof(f61,plain,(
% 4.99/1.37 ~union(powerset(sK9_skl))=sK9_skl),
% 4.99/1.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(A,sK9_skl)],[f60])).
% 4.99/1.37 fof(f62,plain,(
% 4.99/1.37 ~union(powerset(sK9_skl))=sK9_skl),
% 4.99/1.37 inference(cnf_transformation,[status(thm)],[f61])).
% 4.99/1.37 fof(f65,plain,(
% 4.99/1.37 ![X0,X1]: (~in(X0,powerset(X1))|subset(X0,X1))),
% 4.99/1.37 inference(destructive_equality_resolution,[status(thm)],[f25])).
% 4.99/1.37 fof(f66,plain,(
% 4.99/1.37 ![X0,X1]: (in(X0,powerset(X1))|~subset(X0,X1))),
% 4.99/1.37 inference(destructive_equality_resolution,[status(thm)],[f26])).
% 4.99/1.37 fof(f70,plain,(
% 4.99/1.37 ![X0]: (in(X0,powerset(X0)))),
% 4.99/1.37 inference(resolution,[status(thm)],[f54,f66])).
% 4.99/1.37 fof(f541,plain,(
% 4.99/1.37 ![X0,X1,X2]: (X0=union(X1)|in(sK4_skl(X0,X1),X0)|~subset(sK5_skl(X0,X1),X2)|in(sK4_skl(X0,X1),X2))),
% 4.99/1.37 inference(resolution,[status(thm)],[f43,f33])).
% 4.99/1.37 fof(f548,plain,(
% 4.99/1.37 ![X0,X1]: (X0=union(X1)|in(sK5_skl(X0,X1),X1)|X0=union(X1)|~in(sK4_skl(X0,X1),X0)|~in(X0,X1))),
% 4.99/1.37 inference(resolution,[status(thm)],[f44,f42])).
% 4.99/1.37 fof(f581,plain,(
% 4.99/1.37 ![X0,X1]: (X0=union(X1)|in(sK5_skl(X0,X1),X1)|~in(sK4_skl(X0,X1),X0)|~in(X0,X1))),
% 4.99/1.37 inference(duplicate_literals_removal,[status(thm)],[f548])).
% 4.99/1.37 fof(f582,plain,(
% 4.99/1.37 ![X0,X1]: (X0=union(X1)|in(sK5_skl(X0,X1),X1)|~in(X0,X1))),
% 4.99/1.37 inference(forward_subsumption_resolution,[status(thm)],[f581,f44])).
% 4.99/1.37 fof(f1379,plain,(
% 4.99/1.37 ![X0]: (X0=union(powerset(X0))|in(sK5_skl(X0,powerset(X0)),powerset(X0)))),
% 4.99/1.37 inference(resolution,[status(thm)],[f582,f70])).
% 4.99/1.37 fof(f2964,plain,(
% 4.99/1.37 ![X0]: (X0=union(powerset(X0))|subset(sK5_skl(X0,powerset(X0)),X0))),
% 4.99/1.37 inference(resolution,[status(thm)],[f1379,f65])).
% 4.99/1.37 fof(f4647,plain,(
% 4.99/1.37 ![X0]: (X0=union(powerset(X0))|in(sK4_skl(X0,powerset(X0)),X0)|in(sK4_skl(X0,powerset(X0)),X0)|X0=union(powerset(X0)))),
% 4.99/1.37 inference(resolution,[status(thm)],[f541,f2964])).
% 4.99/1.37 fof(f4662,plain,(
% 4.99/1.37 ![X0]: (X0=union(powerset(X0))|in(sK4_skl(X0,powerset(X0)),X0))),
% 4.99/1.37 inference(duplicate_literals_removal,[status(thm)],[f4647])).
% 4.99/1.37 fof(f4670,plain,(
% 4.99/1.37 ![X0]: (X0=union(powerset(X0))|X0=union(powerset(X0))|~in(sK4_skl(X0,powerset(X0)),X0)|~in(X0,powerset(X0)))),
% 4.99/1.37 inference(resolution,[status(thm)],[f4662,f42])).
% 4.99/1.37 fof(f4703,plain,(
% 4.99/1.37 ![X0]: (X0=union(powerset(X0))|~in(sK4_skl(X0,powerset(X0)),X0)|~in(X0,powerset(X0)))),
% 4.99/1.37 inference(duplicate_literals_removal,[status(thm)],[f4670])).
% 4.99/1.37 fof(f4704,plain,(
% 4.99/1.37 ![X0]: (X0=union(powerset(X0))|~in(X0,powerset(X0)))),
% 4.99/1.37 inference(forward_subsumption_resolution,[status(thm)],[f4703,f4662])).
% 4.99/1.37 fof(f4762,plain,(
% 4.99/1.37 ~sK9_skl=sK9_skl),
% 4.99/1.37 inference(backward_demodulation,[status(thm)],[f4782,f62])).
% 4.99/1.37 fof(f4782,plain,(
% 4.99/1.37 ![X0]: (X0=union(powerset(X0)))),
% 4.99/1.37 inference(forward_subsumption_resolution,[status(thm)],[f4704,f70])).
% 4.99/1.37 fof(f4856,plain,(
% 4.99/1.37 $false),
% 4.99/1.37 inference(trivial_equality_resolution,[status(thm)],[f4762])).
% 4.99/1.37 % SZS output end CNFRefutation for theBenchmark.p
% 4.99/1.38 % Elapsed time: 0.911017 seconds
% 4.99/1.38 % CPU time: 6.847204 seconds
% 4.99/1.38 % Total memory used: 123.667 MB
% 4.99/1.38 % Net memory used: 112.631 MB
%------------------------------------------------------------------------------