%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU308+2 : 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 : n003.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 0.13s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU308+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 06:11:46 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.13/0.42 % Drodi V4.1.1
% 0.13/0.47 % Refutation found
% 0.13/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.47 fof(f77,axiom,(
% 0.13/0.47 (! [A] :( one_sorted_str(A)=> cast_as_carrier_subset(A) = the_carrier(A) ) )),
% 0.13/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f94,axiom,(
% 0.13/0.47 (! [A,B] :( element(B,powerset(A))=> subset_complement(A,B) = set_difference(A,B) ) )),
% 0.13/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f130,axiom,(
% 0.13/0.47 (! [A] :( one_sorted_str(A)=> element(cast_as_carrier_subset(A),powerset(the_carrier(A))) ) )),
% 0.13/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f291,axiom,(
% 0.13/0.47 (! [A,B,C] :( ( element(B,powerset(A))& element(C,powerset(A)) )=> subset_difference(A,B,C) = set_difference(B,C) ) )),
% 0.13/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f361,conjecture,(
% 0.13/0.47 (! [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) ) )) )),
% 0.13/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.47 fof(f362,negated_conjecture,(
% 0.13/0.47 ~((! [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) ) )) ))),
% 0.13/0.47 inference(negated_conjecture,[status(cth)],[f361])).
% 0.13/0.47 fof(f890,plain,(
% 0.13/0.47 ![A]: (~one_sorted_str(A)|cast_as_carrier_subset(A)=the_carrier(A))),
% 0.13/0.47 inference(pre_NNF_transformation,[status(thm)],[f77])).
% 0.13/0.47 fof(f891,plain,(
% 0.13/0.47 ![X0]: (~one_sorted_str(X0)|cast_as_carrier_subset(X0)=the_carrier(X0))),
% 0.13/0.47 inference(cnf_transformation,[status(thm)],[f890])).
% 0.13/0.47 fof(f1019,plain,(
% 0.13/0.47 ![A,B]: (~element(B,powerset(A))|subset_complement(A,B)=set_difference(A,B))),
% 0.13/0.47 inference(pre_NNF_transformation,[status(thm)],[f94])).
% 0.13/0.47 fof(f1020,plain,(
% 0.13/0.47 ![X0,X1]: (~element(X0,powerset(X1))|subset_complement(X1,X0)=set_difference(X1,X0))),
% 0.13/0.47 inference(cnf_transformation,[status(thm)],[f1019])).
% 0.13/0.47 fof(f1139,plain,(
% 0.13/0.47 ![A]: (~one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))))),
% 0.13/0.47 inference(pre_NNF_transformation,[status(thm)],[f130])).
% 0.13/0.47 fof(f1140,plain,(
% 0.13/0.47 ![X0]: (~one_sorted_str(X0)|element(cast_as_carrier_subset(X0),powerset(the_carrier(X0))))),
% 0.13/0.47 inference(cnf_transformation,[status(thm)],[f1139])).
% 0.13/0.47 fof(f1624,plain,(
% 0.13/0.47 ![A,B,C]: ((~element(B,powerset(A))|~element(C,powerset(A)))|subset_difference(A,B,C)=set_difference(B,C))),
% 0.13/0.47 inference(pre_NNF_transformation,[status(thm)],[f291])).
% 0.13/0.47 fof(f1625,plain,(
% 0.13/0.47 ![X0,X1,X2]: (~element(X0,powerset(X1))|~element(X2,powerset(X1))|subset_difference(X1,X0,X2)=set_difference(X0,X2))),
% 0.13/0.47 inference(cnf_transformation,[status(thm)],[f1624])).
% 0.13/0.47 fof(f2065,plain,(
% 0.13/0.47 (?[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)))))),
% 0.13/0.47 inference(pre_NNF_transformation,[status(thm)],[f362])).
% 0.13/0.47 fof(f2066,plain,(
% 0.13/0.47 (one_sorted_str(sK252_skl)&(element(sK253_skl,powerset(the_carrier(sK252_skl)))&~subset_complement(the_carrier(sK252_skl),sK253_skl)=subset_difference(the_carrier(sK252_skl),cast_as_carrier_subset(sK252_skl),sK253_skl)))),
% 0.13/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK252_skl,sK253_skl]),skolemize(A,sK252_skl),skolemize(B,sK253_skl)],[f2065])).
% 0.13/0.47 fof(f2067,plain,(
% 0.13/0.47 one_sorted_str(sK252_skl)),
% 0.13/0.47 inference(cnf_transformation,[status(thm)],[f2066])).
% 0.13/0.47 fof(f2068,plain,(
% 0.13/0.47 element(sK253_skl,powerset(the_carrier(sK252_skl)))),
% 0.13/0.47 inference(cnf_transformation,[status(thm)],[f2066])).
% 0.13/0.47 fof(f2069,plain,(
% 0.13/0.47 ~subset_complement(the_carrier(sK252_skl),sK253_skl)=subset_difference(the_carrier(sK252_skl),cast_as_carrier_subset(sK252_skl),sK253_skl)),
% 0.13/0.47 inference(cnf_transformation,[status(thm)],[f2066])).
% 0.13/0.47 fof(f3039,plain,(
% 0.13/0.47 cast_as_carrier_subset(sK252_skl)=the_carrier(sK252_skl)),
% 0.13/0.47 inference(resolution,[status(thm)],[f891,f2067])).
% 0.13/0.47 fof(f3041,plain,(
% 0.13/0.47 subset_complement(the_carrier(sK252_skl),sK253_skl)=set_difference(the_carrier(sK252_skl),sK253_skl)),
% 0.13/0.47 inference(resolution,[status(thm)],[f1020,f2068])).
% 0.13/0.48 fof(f3044,plain,(
% 0.13/0.48 ~subset_complement(the_carrier(sK252_skl),sK253_skl)=subset_difference(the_carrier(sK252_skl),the_carrier(sK252_skl),sK253_skl)),
% 0.13/0.48 inference(backward_demodulation,[status(thm)],[f3039,f2069])).
% 0.13/0.48 fof(f3045,plain,(
% 0.13/0.48 ~one_sorted_str(sK252_skl)|element(the_carrier(sK252_skl),powerset(the_carrier(sK252_skl)))),
% 0.13/0.48 inference(paramodulation,[status(thm)],[f3039,f1140])).
% 0.13/0.48 fof(f3046,plain,(
% 0.13/0.48 element(the_carrier(sK252_skl),powerset(the_carrier(sK252_skl)))),
% 0.13/0.48 inference(forward_subsumption_resolution,[status(thm)],[f3045,f2067])).
% 0.13/0.48 fof(f3047,plain,(
% 0.13/0.48 ~set_difference(the_carrier(sK252_skl),sK253_skl)=subset_difference(the_carrier(sK252_skl),the_carrier(sK252_skl),sK253_skl)),
% 0.13/0.48 inference(backward_demodulation,[status(thm)],[f3041,f3044])).
% 0.13/0.48 fof(f3067,plain,(
% 0.13/0.48 ![X0]: (~element(X0,powerset(the_carrier(sK252_skl)))|subset_difference(the_carrier(sK252_skl),X0,sK253_skl)=set_difference(X0,sK253_skl))),
% 0.13/0.48 inference(resolution,[status(thm)],[f1625,f2068])).
% 0.13/0.48 fof(f3081,plain,(
% 0.13/0.48 subset_difference(the_carrier(sK252_skl),the_carrier(sK252_skl),sK253_skl)=set_difference(the_carrier(sK252_skl),sK253_skl)),
% 0.13/0.48 inference(resolution,[status(thm)],[f3067,f3046])).
% 0.13/0.48 fof(f3087,plain,(
% 0.13/0.48 $false),
% 0.13/0.48 inference(forward_subsumption_resolution,[status(thm)],[f3081,f3047])).
% 0.13/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.50 % Elapsed time: 0.127979 seconds
% 0.13/0.50 % CPU time: 0.352831 seconds
% 0.13/0.50 % Total memory used: 115.525 MB
% 0.13/0.50 % Net memory used: 114.862 MB
%------------------------------------------------------------------------------