%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM388+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 01:42:48 PM UTC 2026
% Result : Theorem 0.07s 10.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM388+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/10.36 % Computer : n009.cluster.edu
% 0.07/10.36 % Model : x86_64 x86_64
% 0.07/10.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/10.36 % Memory : 8046.5625MB
% 0.07/10.36 % OS : Linux 6.8.0-71-generic
% 0.07/10.36 % CPULimit : 300
% 0.07/10.36 % WCLimit : 300
% 0.07/10.36 % DateTime : Mon Sep 21 02:26:38 UTC 2026
% 0.07/10.36 % CPUTime :
% 0.07/10.37 % Drodi V4.1.1
% 0.07/10.39 % Refutation found
% 0.07/10.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/10.39 % SZS output start CNFRefutation for theBenchmark
% 0.07/10.39 fof(f3,axiom,(
% 0.07/10.39 (! [A] :( ordinal(A)=> ( epsilon_transitive(A)& epsilon_connected(A) ) ) )),
% 0.07/10.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/10.39 fof(f7,axiom,(
% 0.07/10.39 (! [A] :( epsilon_transitive(A)<=> (! [B] :( in(B,A)=> subset(B,A) ) )) )),
% 0.07/10.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/10.39 fof(f24,conjecture,(
% 0.07/10.39 (! [A] :( ordinal(A)=> (! [B] :( ordinal(B)=> (! [C] :( epsilon_transitive(C)=> ( ( in(C,A)& in(A,B) )=> in(C,B) ) ) )) )) )),
% 0.07/10.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/10.39 fof(f25,negated_conjecture,(
% 0.07/10.39 ~((! [A] :( ordinal(A)=> (! [B] :( ordinal(B)=> (! [C] :( epsilon_transitive(C)=> ( ( in(C,A)& in(A,B) )=> in(C,B) ) ) )) )) ))),
% 0.07/10.39 inference(negated_conjecture,[status(cth)],[f24])).
% 0.07/10.39 fof(f27,axiom,(
% 0.07/10.39 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.07/10.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/10.39 fof(f28,axiom,(
% 0.07/10.39 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 0.07/10.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/10.39 fof(f29,axiom,(
% 0.07/10.39 (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 0.07/10.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/10.39 fof(f30,axiom,(
% 0.07/10.39 (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 0.07/10.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/10.39 fof(f38,plain,(
% 0.07/10.39 ![A]: (~ordinal(A)|(epsilon_transitive(A)&epsilon_connected(A)))),
% 0.07/10.39 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.07/10.39 fof(f39,plain,(
% 0.07/10.39 ![X0]: (~ordinal(X0)|epsilon_transitive(X0))),
% 0.07/10.39 inference(cnf_transformation,[status(thm)],[f38])).
% 0.07/10.39 fof(f49,plain,(
% 0.07/10.39 ![A]: (epsilon_transitive(A)<=>(![B]: (~in(B,A)|subset(B,A))))),
% 0.07/10.39 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.07/10.39 fof(f50,plain,(
% 0.07/10.39 ![A]: ((~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A))))&(epsilon_transitive(A)|(?[B]: (in(B,A)&~subset(B,A)))))),
% 0.07/10.39 inference(NNF_transformation,[status(thm)],[f49])).
% 0.07/10.39 fof(f51,plain,(
% 0.07/10.39 (![A]: (~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A)))))&(![A]: (epsilon_transitive(A)|(?[B]: (in(B,A)&~subset(B,A)))))),
% 0.07/10.39 inference(miniscoping,[status(thm)],[f50])).
% 0.07/10.39 fof(f52,plain,(
% 0.07/10.39 (![A]: (~epsilon_transitive(A)|(![B]: (~in(B,A)|subset(B,A)))))&(![A]: (epsilon_transitive(A)|(in(sK0_skl(A),A)&~subset(sK0_skl(A),A))))),
% 0.07/10.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(B,sK0_skl(A))],[f51])).
% 0.07/10.39 fof(f53,plain,(
% 0.07/10.39 ![X0,X1]: (~epsilon_transitive(X0)|~in(X1,X0)|subset(X1,X0))),
% 0.07/10.39 inference(cnf_transformation,[status(thm)],[f52])).
% 0.07/10.39 fof(f102,plain,(
% 0.07/10.39 (?[A]: (ordinal(A)&(?[B]: (ordinal(B)&(?[C]: (epsilon_transitive(C)&((in(C,A)&in(A,B))&~in(C,B))))))))),
% 0.07/10.39 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.07/10.39 fof(f103,plain,(
% 0.07/10.39 (ordinal(sK13_skl)&(ordinal(sK14_skl)&(epsilon_transitive(sK15_skl)&((in(sK15_skl,sK13_skl)&in(sK13_skl,sK14_skl))&~in(sK15_skl,sK14_skl)))))),
% 0.07/10.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl,sK15_skl]),skolemize(A,sK13_skl),skolemize(B,sK14_skl),skolemize(C,sK15_skl)],[f102])).
% 0.07/10.39 fof(f105,plain,(
% 0.07/10.39 ordinal(sK14_skl)),
% 0.07/10.39 inference(cnf_transformation,[status(thm)],[f103])).
% 0.07/10.39 fof(f107,plain,(
% 0.07/10.39 in(sK15_skl,sK13_skl)),
% 0.07/10.39 inference(cnf_transformation,[status(thm)],[f103])).
% 0.07/10.39 fof(f108,plain,(
% 0.07/10.39 in(sK13_skl,sK14_skl)),
% 0.07/10.39 inference(cnf_transformation,[status(thm)],[f103])).
% 0.07/10.39 fof(f109,plain,(
% 0.07/10.39 ~in(sK15_skl,sK14_skl)),
% 0.07/10.39 inference(cnf_transformation,[status(thm)],[f103])).
% 0.07/10.39 fof(f112,plain,(
% 0.07/10.39 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.07/10.39 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 0.07/10.39 fof(f113,plain,(
% 0.07/10.39 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.07/10.39 inference(cnf_transformation,[status(thm)],[f112])).
% 0.07/10.39 fof(f114,plain,(
% 0.07/10.39 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 0.07/10.39 inference(NNF_transformation,[status(thm)],[f28])).
% 0.07/10.39 fof(f115,plain,(
% 0.07/10.39 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 0.07/10.39 inference(miniscoping,[status(thm)],[f114])).
% 0.07/10.39 fof(f117,plain,(
% 0.07/10.39 ![X0,X1]: (element(X0,powerset(X1))|~subset(X0,X1))),
% 0.07/10.39 inference(cnf_transformation,[status(thm)],[f115])).
% 0.07/10.39 fof(f118,plain,(
% 0.07/10.39 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 0.07/10.39 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 0.07/10.39 fof(f119,plain,(
% 0.07/10.39 ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 0.07/10.39 inference(miniscoping,[status(thm)],[f118])).
% 0.07/10.39 fof(f120,plain,(
% 0.07/10.39 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 0.07/10.39 inference(cnf_transformation,[status(thm)],[f119])).
% 0.07/10.39 fof(f121,plain,(
% 0.07/10.39 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 0.07/10.39 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.07/10.39 fof(f122,plain,(
% 0.07/10.39 ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 0.07/10.39 inference(miniscoping,[status(thm)],[f121])).
% 0.07/10.39 fof(f123,plain,(
% 0.07/10.39 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 0.07/10.39 inference(cnf_transformation,[status(thm)],[f122])).
% 0.07/10.39 fof(f133,plain,(
% 0.07/10.39 epsilon_transitive(sK14_skl)),
% 0.07/10.39 inference(resolution,[status(thm)],[f39,f105])).
% 0.07/10.39 fof(f160,plain,(
% 0.07/10.39 ~epsilon_transitive(sK14_skl)|subset(sK13_skl,sK14_skl)),
% 0.07/10.39 inference(resolution,[status(thm)],[f53,f108])).
% 0.07/10.39 fof(f162,plain,(
% 0.07/10.39 subset(sK13_skl,sK14_skl)),
% 0.07/10.39 inference(forward_subsumption_resolution,[status(thm)],[f160,f133])).
% 0.07/10.39 fof(f218,plain,(
% 0.07/10.39 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|empty(X2)|in(X0,X2))),
% 0.07/10.39 inference(resolution,[status(thm)],[f120,f113])).
% 0.07/10.39 fof(f219,plain,(
% 0.07/10.39 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|in(X0,X2))),
% 0.07/10.39 inference(forward_subsumption_resolution,[status(thm)],[f218,f123])).
% 0.07/10.39 fof(f261,plain,(
% 0.07/10.39 ![X0]: (~element(sK13_skl,powerset(X0))|in(sK15_skl,X0))),
% 0.07/10.39 inference(resolution,[status(thm)],[f219,f107])).
% 0.07/10.39 fof(f264,plain,(
% 0.07/10.39 ![X0]: (in(sK15_skl,X0)|~subset(sK13_skl,X0))),
% 0.07/10.39 inference(resolution,[status(thm)],[f261,f117])).
% 0.07/10.39 fof(f267,plain,(
% 0.07/10.39 in(sK15_skl,sK14_skl)),
% 0.07/10.39 inference(resolution,[status(thm)],[f264,f162])).
% 0.07/10.39 fof(f269,plain,(
% 0.07/10.39 $false),
% 0.07/10.39 inference(forward_subsumption_resolution,[status(thm)],[f267,f109])).
% 0.07/10.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/10.42 % Elapsed time: 0.056687 seconds
% 0.11/10.42 % CPU time: 0.158486 seconds
% 0.11/10.42 % Total memory used: 81.337 MB
% 0.11/10.42 % Net memory used: 81.311 MB
%------------------------------------------------------------------------------