%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU308+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 02:22:17 PM UTC 2026
% Result : Theorem 0.17s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU308+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n009.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 06:10:13 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 0.17/0.49 % Refutation found
% 0.17/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.49 fof(f40,axiom,(
% 0.17/0.49 (! [A,B,C] :( ( element(B,powerset(A))& element(C,powerset(A)) )=> subset_difference(A,B,C) = set_difference(B,C) ) )),
% 0.17/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.49 fof(f42,axiom,(
% 0.17/0.49 (! [A] :( one_sorted_str(A)=> element(cast_as_carrier_subset(A),powerset(the_carrier(A))) ) )),
% 0.17/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.49 fof(f51,axiom,(
% 0.17/0.49 (! [A] :( one_sorted_str(A)=> cast_as_carrier_subset(A) = the_carrier(A) ) )),
% 0.17/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.49 fof(f52,conjecture,(
% 0.17/0.49 (! [A] :( one_sorted_str(A)=> (! [B] :( element(B,powerset(the_carrier(A)))=> subset_complement(the_carrier(A),B) = subset_difference(the_carrier(A),cast_as_carrier_subset(A),B) ) )) )),
% 0.17/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.49 fof(f53,negated_conjecture,(
% 0.17/0.49 ~((! [A] :( one_sorted_str(A)=> (! [B] :( element(B,powerset(the_carrier(A)))=> subset_complement(the_carrier(A),B) = subset_difference(the_carrier(A),cast_as_carrier_subset(A),B) ) )) ))),
% 0.17/0.49 inference(negated_conjecture,[status(cth)],[f52])).
% 0.17/0.49 fof(f54,axiom,(
% 0.17/0.49 (! [A,B] :( element(B,powerset(A))=> subset_complement(A,B) = set_difference(A,B) ) )),
% 0.17/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.49 fof(f184,plain,(
% 0.17/0.49 ![A,B,C]: ((~element(B,powerset(A))|~element(C,powerset(A)))|subset_difference(A,B,C)=set_difference(B,C))),
% 0.17/0.49 inference(pre_NNF_transformation,[status(thm)],[f40])).
% 0.17/0.49 fof(f185,plain,(
% 0.17/0.49 ![X0,X1,X2]: (~element(X0,powerset(X1))|~element(X2,powerset(X1))|subset_difference(X1,X0,X2)=set_difference(X0,X2))),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f184])).
% 0.17/0.49 fof(f186,plain,(
% 0.17/0.49 ![A]: (~one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))))),
% 0.17/0.49 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.17/0.49 fof(f187,plain,(
% 0.17/0.49 ![X0]: (~one_sorted_str(X0)|element(cast_as_carrier_subset(X0),powerset(the_carrier(X0))))),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f186])).
% 0.17/0.49 fof(f197,plain,(
% 0.17/0.49 ![A]: (~one_sorted_str(A)|cast_as_carrier_subset(A)=the_carrier(A))),
% 0.17/0.49 inference(pre_NNF_transformation,[status(thm)],[f51])).
% 0.17/0.49 fof(f198,plain,(
% 0.17/0.49 ![X0]: (~one_sorted_str(X0)|cast_as_carrier_subset(X0)=the_carrier(X0))),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f197])).
% 0.17/0.49 fof(f199,plain,(
% 0.17/0.49 (?[A]: (one_sorted_str(A)&(?[B]: (element(B,powerset(the_carrier(A)))&~subset_complement(the_carrier(A),B)=subset_difference(the_carrier(A),cast_as_carrier_subset(A),B)))))),
% 0.17/0.49 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 0.17/0.49 fof(f200,plain,(
% 0.17/0.49 (one_sorted_str(sK5_skl)&(element(sK6_skl,powerset(the_carrier(sK5_skl)))&~subset_complement(the_carrier(sK5_skl),sK6_skl)=subset_difference(the_carrier(sK5_skl),cast_as_carrier_subset(sK5_skl),sK6_skl)))),
% 0.17/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl,sK6_skl]),skolemize(A,sK5_skl),skolemize(B,sK6_skl)],[f199])).
% 0.17/0.49 fof(f201,plain,(
% 0.17/0.49 one_sorted_str(sK5_skl)),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f200])).
% 0.17/0.49 fof(f202,plain,(
% 0.17/0.49 element(sK6_skl,powerset(the_carrier(sK5_skl)))),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f200])).
% 0.17/0.49 fof(f203,plain,(
% 0.17/0.49 ~subset_complement(the_carrier(sK5_skl),sK6_skl)=subset_difference(the_carrier(sK5_skl),cast_as_carrier_subset(sK5_skl),sK6_skl)),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f200])).
% 0.17/0.49 fof(f204,plain,(
% 0.17/0.49 ![A,B]: (~element(B,powerset(A))|subset_complement(A,B)=set_difference(A,B))),
% 0.17/0.49 inference(pre_NNF_transformation,[status(thm)],[f54])).
% 0.17/0.49 fof(f205,plain,(
% 0.17/0.49 ![X0,X1]: (~element(X0,powerset(X1))|subset_complement(X1,X0)=set_difference(X1,X0))),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f204])).
% 0.17/0.49 fof(f206,plain,(
% 0.17/0.49 cast_as_carrier_subset(sK5_skl)=the_carrier(sK5_skl)),
% 0.17/0.49 inference(resolution,[status(thm)],[f198,f201])).
% 0.17/0.49 fof(f207,plain,(
% 0.17/0.49 ~subset_complement(the_carrier(sK5_skl),sK6_skl)=subset_difference(the_carrier(sK5_skl),the_carrier(sK5_skl),sK6_skl)),
% 0.17/0.49 inference(backward_demodulation,[status(thm)],[f206,f203])).
% 0.17/0.49 fof(f208,plain,(
% 0.17/0.49 element(cast_as_carrier_subset(sK5_skl),powerset(the_carrier(sK5_skl)))),
% 0.23/0.50 inference(resolution,[status(thm)],[f187,f201])).
% 0.23/0.50 fof(f209,plain,(
% 0.23/0.50 element(the_carrier(sK5_skl),powerset(the_carrier(sK5_skl)))),
% 0.23/0.50 inference(forward_demodulation,[status(thm)],[f206,f208])).
% 0.23/0.50 fof(f213,plain,(
% 0.23/0.50 subset_complement(the_carrier(sK5_skl),sK6_skl)=set_difference(the_carrier(sK5_skl),sK6_skl)),
% 0.23/0.50 inference(resolution,[status(thm)],[f205,f202])).
% 0.23/0.50 fof(f227,plain,(
% 0.23/0.50 ![X0]: (~element(X0,powerset(the_carrier(sK5_skl)))|subset_difference(the_carrier(sK5_skl),X0,sK6_skl)=set_difference(X0,sK6_skl))),
% 0.23/0.50 inference(resolution,[status(thm)],[f185,f202])).
% 0.23/0.50 fof(f240,plain,(
% 0.23/0.50 subset_difference(the_carrier(sK5_skl),the_carrier(sK5_skl),sK6_skl)=set_difference(the_carrier(sK5_skl),sK6_skl)),
% 0.23/0.50 inference(resolution,[status(thm)],[f227,f209])).
% 0.23/0.50 fof(f242,plain,(
% 0.23/0.50 subset_difference(the_carrier(sK5_skl),the_carrier(sK5_skl),sK6_skl)=subset_complement(the_carrier(sK5_skl),sK6_skl)),
% 0.23/0.50 inference(forward_demodulation,[status(thm)],[f213,f240])).
% 0.23/0.50 fof(f243,plain,(
% 0.23/0.50 $false),
% 0.23/0.50 inference(forward_subsumption_resolution,[status(thm)],[f242,f207])).
% 0.23/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.51 % Elapsed time: 0.061759 seconds
% 0.23/0.51 % CPU time: 0.163228 seconds
% 0.23/0.51 % Total memory used: 58.842 MB
% 0.23/0.51 % Net memory used: 58.815 MB
%------------------------------------------------------------------------------