%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU321+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 02:22:19 PM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU321+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 06:13:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.39 fof(f33,axiom,(
% 0.09/0.39 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> ~ empty(the_carrier(A)) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f34,axiom,(
% 0.09/0.39 ( empty(empty_set)& v1_membered(empty_set)& v2_membered(empty_set)& v3_membered(empty_set)& v4_membered(empty_set)& v5_membered(empty_set) ) ),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f40,conjecture,(
% 0.09/0.39 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> (! [B] :( element(B,powerset(the_carrier(A)))=> (! [C] :( element(C,the_carrier(A))=> ( in(C,subset_complement(the_carrier(A),B))<=> ~ in(C,B) ) ) )) )) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f41,negated_conjecture,(
% 0.09/0.39 ~((! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> (! [B] :( element(B,powerset(the_carrier(A)))=> (! [C] :( element(C,the_carrier(A))=> ( in(C,subset_complement(the_carrier(A),B))<=> ~ in(C,B) ) ) )) )) ))),
% 0.09/0.39 inference(negated_conjecture,[status(cth)],[f40])).
% 0.09/0.39 fof(f42,axiom,(
% 0.09/0.39 (! [A] :( A != empty_set=> (! [B] :( element(B,powerset(A))=> (! [C] :( element(C,A)=> ( ~ in(C,B)=> in(C,subset_complement(A,B)) ) ) )) )) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f43,axiom,(
% 0.09/0.39 (! [A,B,C] :( element(C,powerset(A))=> ~ ( in(B,subset_complement(A,C))& in(B,C) ) ) )),
% 0.09/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.39 fof(f132,plain,(
% 0.09/0.39 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|~empty(the_carrier(A)))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.09/0.39 fof(f133,plain,(
% 0.09/0.39 ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|~empty(the_carrier(X0)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f132])).
% 0.09/0.39 fof(f134,plain,(
% 0.09/0.39 empty(empty_set)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.09/0.39 fof(f154,plain,(
% 0.09/0.39 (?[A]: ((~empty_carrier(A)&one_sorted_str(A))&(?[B]: (element(B,powerset(the_carrier(A)))&(?[C]: (element(C,the_carrier(A))&(in(C,subset_complement(the_carrier(A),B))<~>~in(C,B))))))))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.09/0.39 fof(f155,plain,(
% 0.09/0.39 ?[A]: ((~empty_carrier(A)&one_sorted_str(A))&(?[B]: (element(B,powerset(the_carrier(A)))&(?[C]: (element(C,the_carrier(A))&((in(C,subset_complement(the_carrier(A),B))|~in(C,B))&(~in(C,subset_complement(the_carrier(A),B))|in(C,B))))))))),
% 0.09/0.39 inference(NNF_transformation,[status(thm)],[f154])).
% 0.09/0.39 fof(f156,plain,(
% 0.09/0.39 ((~empty_carrier(sK5_skl)&one_sorted_str(sK5_skl))&(element(sK6_skl,powerset(the_carrier(sK5_skl)))&(element(sK7_skl,the_carrier(sK5_skl))&((in(sK7_skl,subset_complement(the_carrier(sK5_skl),sK6_skl))|~in(sK7_skl,sK6_skl))&(~in(sK7_skl,subset_complement(the_carrier(sK5_skl),sK6_skl))|in(sK7_skl,sK6_skl))))))),
% 0.09/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl,sK6_skl,sK7_skl]),skolemize(A,sK5_skl),skolemize(B,sK6_skl),skolemize(C,sK7_skl)],[f155])).
% 0.09/0.39 fof(f157,plain,(
% 0.09/0.39 ~empty_carrier(sK5_skl)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f156])).
% 0.09/0.39 fof(f158,plain,(
% 0.09/0.39 one_sorted_str(sK5_skl)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f156])).
% 0.09/0.39 fof(f159,plain,(
% 0.09/0.39 element(sK6_skl,powerset(the_carrier(sK5_skl)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f156])).
% 0.09/0.39 fof(f160,plain,(
% 0.09/0.39 element(sK7_skl,the_carrier(sK5_skl))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f156])).
% 0.09/0.39 fof(f161,plain,(
% 0.09/0.39 in(sK7_skl,subset_complement(the_carrier(sK5_skl),sK6_skl))|~in(sK7_skl,sK6_skl)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f156])).
% 0.09/0.39 fof(f162,plain,(
% 0.09/0.39 ~in(sK7_skl,subset_complement(the_carrier(sK5_skl),sK6_skl))|in(sK7_skl,sK6_skl)),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f156])).
% 0.09/0.39 fof(f163,plain,(
% 0.09/0.39 ![A]: (A=empty_set|(![B]: (~element(B,powerset(A))|(![C]: (~element(C,A)|(in(C,B)|in(C,subset_complement(A,B))))))))),
% 0.09/0.39 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.09/0.39 fof(f164,plain,(
% 0.09/0.39 ![X0,X1,X2]: (X0=empty_set|~element(X1,powerset(X0))|~element(X2,X0)|in(X2,X1)|in(X2,subset_complement(X0,X1)))),
% 0.09/0.39 inference(cnf_transformation,[status(thm)],[f163])).
% 0.09/0.39 fof(f165,plain,(
% 0.09/0.40 ![A,B,C]: (~element(C,powerset(A))|(~in(B,subset_complement(A,C))|~in(B,C)))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.09/0.40 fof(f166,plain,(
% 0.09/0.40 ![A,C]: (~element(C,powerset(A))|(![B]: (~in(B,subset_complement(A,C))|~in(B,C))))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f165])).
% 0.09/0.40 fof(f167,plain,(
% 0.09/0.40 ![X0,X1,X2]: (~element(X0,powerset(X1))|~in(X2,subset_complement(X1,X0))|~in(X2,X0))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f166])).
% 0.09/0.40 fof(f191,plain,(
% 0.09/0.40 ~element(sK6_skl,powerset(the_carrier(sK5_skl)))|~in(sK7_skl,sK6_skl)|~in(sK7_skl,sK6_skl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f167,f161])).
% 0.09/0.40 fof(f193,plain,(
% 0.09/0.40 ~element(sK6_skl,powerset(the_carrier(sK5_skl)))|~in(sK7_skl,sK6_skl)),
% 0.09/0.40 inference(duplicate_literals_removal,[status(thm)],[f191])).
% 0.09/0.40 fof(f194,plain,(
% 0.09/0.40 ~in(sK7_skl,subset_complement(the_carrier(sK5_skl),sK6_skl))),
% 0.09/0.40 inference(backward_subsumption_resolution,[status(thm)],[f162,f195])).
% 0.09/0.40 fof(f195,plain,(
% 0.09/0.40 ~in(sK7_skl,sK6_skl)),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f193,f159])).
% 0.09/0.40 fof(f198,plain,(
% 0.09/0.40 ![X0]: (the_carrier(sK5_skl)=empty_set|~element(X0,the_carrier(sK5_skl))|in(X0,sK6_skl)|in(X0,subset_complement(the_carrier(sK5_skl),sK6_skl)))),
% 0.09/0.40 inference(resolution,[status(thm)],[f164,f159])).
% 0.09/0.40 fof(f224,plain,(
% 0.09/0.40 the_carrier(sK5_skl)=empty_set|in(sK7_skl,sK6_skl)|in(sK7_skl,subset_complement(the_carrier(sK5_skl),sK6_skl))),
% 0.09/0.40 inference(resolution,[status(thm)],[f198,f160])).
% 0.09/0.40 fof(f226,plain,(
% 0.09/0.40 the_carrier(sK5_skl)=empty_set|in(sK7_skl,subset_complement(the_carrier(sK5_skl),sK6_skl))),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f224,f195])).
% 0.09/0.40 fof(f227,plain,(
% 0.09/0.40 the_carrier(sK5_skl)=empty_set),
% 0.09/0.40 inference(resolution,[status(thm)],[f226,f194])).
% 0.09/0.40 fof(f259,plain,(
% 0.09/0.40 empty_carrier(sK5_skl)|~one_sorted_str(sK5_skl)|~empty(empty_set)),
% 0.09/0.40 inference(paramodulation,[status(thm)],[f227,f133])).
% 0.09/0.40 fof(f261,plain,(
% 0.09/0.40 ~one_sorted_str(sK5_skl)|~empty(empty_set)),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f259,f157])).
% 0.09/0.40 fof(f268,plain,(
% 0.09/0.40 ~empty(empty_set)),
% 0.09/0.40 inference(resolution,[status(thm)],[f261,f158])).
% 0.09/0.40 fof(f269,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f268,f134])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.050150 seconds
% 0.09/0.43 % CPU time: 0.159605 seconds
% 0.09/0.43 % Total memory used: 82.521 MB
% 0.09/0.43 % Net memory used: 82.457 MB
%------------------------------------------------------------------------------