%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM383+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 : n014.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 0.12s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM383+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
% 0.07/0.34 % Computer : n014.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 02:26:34 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.36 fof(f1,axiom,(
% 0.12/0.36 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f21,axiom,(
% 0.12/0.36 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f22,axiom,(
% 0.12/0.36 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f23,axiom,(
% 0.12/0.36 (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f24,axiom,(
% 0.12/0.36 (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f27,conjecture,(
% 0.12/0.36 (! [A,B] :~ ( in(A,B)& subset(B,A) ) )),
% 0.12/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f28,negated_conjecture,(
% 0.12/0.36 ~((! [A,B] :~ ( in(A,B)& subset(B,A) ) ))),
% 0.12/0.36 inference(negated_conjecture,[status(cth)],[f27])).
% 0.12/0.36 fof(f30,plain,(
% 0.12/0.36 ![A,B]: (~in(A,B)|~in(B,A))),
% 0.12/0.36 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.12/0.36 fof(f31,plain,(
% 0.12/0.36 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f30])).
% 0.12/0.36 fof(f84,plain,(
% 0.12/0.36 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.12/0.36 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.12/0.36 fof(f85,plain,(
% 0.12/0.36 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f84])).
% 0.12/0.36 fof(f86,plain,(
% 0.12/0.36 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 0.12/0.36 inference(NNF_transformation,[status(thm)],[f22])).
% 0.12/0.36 fof(f87,plain,(
% 0.12/0.36 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 0.12/0.36 inference(miniscoping,[status(thm)],[f86])).
% 0.12/0.36 fof(f89,plain,(
% 0.12/0.36 ![X0,X1]: (element(X0,powerset(X1))|~subset(X0,X1))),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f87])).
% 0.12/0.36 fof(f90,plain,(
% 0.12/0.36 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 0.12/0.36 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.12/0.36 fof(f91,plain,(
% 0.12/0.36 ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 0.12/0.36 inference(miniscoping,[status(thm)],[f90])).
% 0.12/0.36 fof(f92,plain,(
% 0.12/0.36 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f91])).
% 0.12/0.36 fof(f93,plain,(
% 0.12/0.36 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 0.12/0.36 inference(pre_NNF_transformation,[status(thm)],[f24])).
% 0.12/0.36 fof(f94,plain,(
% 0.12/0.36 ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 0.12/0.36 inference(miniscoping,[status(thm)],[f93])).
% 0.12/0.36 fof(f95,plain,(
% 0.12/0.36 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f94])).
% 0.12/0.36 fof(f101,plain,(
% 0.12/0.36 (?[A,B]: (in(A,B)&subset(B,A)))),
% 0.12/0.36 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 0.12/0.36 fof(f102,plain,(
% 0.12/0.36 (in(sK11_skl,sK12_skl)&subset(sK12_skl,sK11_skl))),
% 0.12/0.36 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl]),skolemize(A,sK11_skl),skolemize(B,sK12_skl)],[f101])).
% 0.12/0.36 fof(f103,plain,(
% 0.12/0.36 in(sK11_skl,sK12_skl)),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f102])).
% 0.12/0.36 fof(f104,plain,(
% 0.12/0.36 subset(sK12_skl,sK11_skl)),
% 0.12/0.36 inference(cnf_transformation,[status(thm)],[f102])).
% 0.12/0.36 fof(f124,plain,(
% 0.12/0.36 element(sK12_skl,powerset(sK11_skl))),
% 0.12/0.36 inference(resolution,[status(thm)],[f89,f104])).
% 0.12/0.36 fof(f205,plain,(
% 0.12/0.36 ![X0]: (~in(X0,sK12_skl)|element(X0,sK11_skl))),
% 0.12/0.36 inference(resolution,[status(thm)],[f92,f124])).
% 0.12/0.36 fof(f208,plain,(
% 0.12/0.36 element(sK11_skl,sK11_skl)),
% 0.12/0.36 inference(resolution,[status(thm)],[f205,f103])).
% 0.12/0.36 fof(f213,plain,(
% 0.12/0.36 empty(sK11_skl)|in(sK11_skl,sK11_skl)),
% 0.12/0.36 inference(resolution,[status(thm)],[f208,f85])).
% 0.12/0.36 fof(f214,definition,(
% 0.12/0.36 sQ16_spl <=> (empty(sK11_skl))),
% 0.12/0.36 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.12/0.36 fof(f217,definition,(
% 0.12/0.36 sQ17_spl <=> (in(sK11_skl,sK11_skl))),
% 0.12/0.36 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.12/0.36 fof(f218,plain,(
% 0.12/0.36 in(sK11_skl,sK11_skl)|~sQ17_spl),
% 0.12/0.36 inference(component_clause,[status(thm)],[f217])).
% 0.12/0.36 fof(f220,plain,(
% 0.12/0.36 sQ16_spl|sQ17_spl),
% 0.12/0.36 inference(split_clause,[status(thm)],[f213,f214,f217])).
% 0.12/0.36 fof(f244,plain,(
% 0.12/0.36 ![X0]: (~in(X0,sK12_skl)|~empty(sK11_skl))),
% 0.12/0.36 inference(resolution,[status(thm)],[f95,f124])).
% 0.12/0.36 fof(f246,definition,(
% 0.12/0.36 ![X0]: (sQ22_spl <=> (~in(X0,sK12_skl)))),
% 0.12/0.36 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.12/0.36 fof(f247,plain,(
% 0.12/0.36 ![X0]: (~in(X0,sK12_skl)|~sQ22_spl)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f246])).
% 0.12/0.36 fof(f249,plain,(
% 0.12/0.36 sQ22_spl|~sQ16_spl),
% 0.12/0.36 inference(split_clause,[status(thm)],[f244,f246,f214])).
% 0.12/0.36 fof(f250,plain,(
% 0.12/0.36 $false|~sQ22_spl),
% 0.12/0.36 inference(backward_subsumption_resolution,[status(thm)],[f103,f247])).
% 0.12/0.36 fof(f251,plain,(
% 0.12/0.36 ~sQ22_spl),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f250])).
% 0.12/0.36 fof(f287,plain,(
% 0.12/0.36 ~in(sK11_skl,sK11_skl)|~sQ17_spl),
% 0.12/0.36 inference(resolution,[status(thm)],[f218,f31])).
% 0.12/0.36 fof(f289,plain,(
% 0.12/0.36 $false|~sQ17_spl),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f287,f218])).
% 0.12/0.36 fof(f290,plain,(
% 0.12/0.36 ~sQ17_spl),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f289])).
% 0.12/0.36 fof(f291,plain,(
% 0.12/0.36 $false),
% 0.12/0.36 inference(sat_refutation,[status(thm)],[f220,f249,f251,f290])).
% 0.12/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.049004 seconds
% 0.12/0.39 % CPU time: 0.159295 seconds
% 0.12/0.39 % Total memory used: 65.768 MB
% 0.12/0.39 % Net memory used: 65.711 MB
%------------------------------------------------------------------------------