%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU307+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 : 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 02:22:17 PM UTC 2026
% Result : Theorem 0.11s 0.62s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU307+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.57 % Computer : n014.cluster.edu
% 0.11/0.57 % Model : x86_64 x86_64
% 0.11/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.57 % Memory : 8046.5625MB
% 0.11/0.57 % OS : Linux 6.8.0-71-generic
% 0.11/0.57 % CPULimit : 300
% 0.11/0.57 % WCLimit : 300
% 0.11/0.57 % DateTime : Mon Sep 21 06:09:49 UTC 2026
% 0.11/0.57 % CPUTime :
% 0.11/0.58 % Drodi V4.1.1
% 0.11/0.62 % Refutation found
% 0.11/0.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.62 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.62 fof(f40,axiom,(
% 0.11/0.62 (! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) )),
% 0.11/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.62 fof(f42,axiom,(
% 0.11/0.62 (! [A,B,C] :( ( element(B,powerset(A))& element(C,powerset(A)) )=> subset_intersection2(A,B,C) = subset_intersection2(A,C,B) ) )),
% 0.11/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.62 fof(f47,axiom,(
% 0.11/0.62 (! [A,B,C] :( ( element(B,powerset(A))& element(C,powerset(A)) )=> subset_intersection2(A,B,C) = set_intersection2(B,C) ) )),
% 0.11/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.62 fof(f49,axiom,(
% 0.11/0.62 (! [A] :( one_sorted_str(A)=> element(cast_as_carrier_subset(A),powerset(the_carrier(A))) ) )),
% 0.11/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.62 fof(f56,axiom,(
% 0.11/0.62 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 0.11/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.62 fof(f57,axiom,(
% 0.11/0.62 (! [A] :( one_sorted_str(A)=> cast_as_carrier_subset(A) = the_carrier(A) ) )),
% 0.11/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.62 fof(f58,conjecture,(
% 0.11/0.62 (! [A] :( one_sorted_str(A)=> (! [B] :( element(B,powerset(the_carrier(A)))=> subset_intersection2(the_carrier(A),B,cast_as_carrier_subset(A)) = B ) )) )),
% 0.11/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.62 fof(f59,negated_conjecture,(
% 0.11/0.62 ~((! [A] :( one_sorted_str(A)=> (! [B] :( element(B,powerset(the_carrier(A)))=> subset_intersection2(the_carrier(A),B,cast_as_carrier_subset(A)) = B ) )) ))),
% 0.11/0.62 inference(negated_conjecture,[status(cth)],[f58])).
% 0.11/0.62 fof(f60,axiom,(
% 0.11/0.62 (! [A,B] :( subset(A,B)=> set_intersection2(A,B) = A ) )),
% 0.11/0.62 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.62 fof(f206,plain,(
% 0.11/0.62 ![X0,X1]: (set_intersection2(X0,X1)=set_intersection2(X1,X0))),
% 0.11/0.62 inference(cnf_transformation,[status(thm)],[f40])).
% 0.11/0.62 fof(f209,plain,(
% 0.11/0.62 ![A,B,C]: ((~element(B,powerset(A))|~element(C,powerset(A)))|subset_intersection2(A,B,C)=subset_intersection2(A,C,B))),
% 0.11/0.62 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.11/0.62 fof(f210,plain,(
% 0.11/0.62 ![X0,X1,X2]: (~element(X0,powerset(X1))|~element(X2,powerset(X1))|subset_intersection2(X1,X0,X2)=subset_intersection2(X1,X2,X0))),
% 0.11/0.62 inference(cnf_transformation,[status(thm)],[f209])).
% 0.11/0.62 fof(f220,plain,(
% 0.11/0.62 ![A,B,C]: ((~element(B,powerset(A))|~element(C,powerset(A)))|subset_intersection2(A,B,C)=set_intersection2(B,C))),
% 0.11/0.62 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 0.11/0.62 fof(f221,plain,(
% 0.11/0.62 ![X0,X1,X2]: (~element(X0,powerset(X1))|~element(X2,powerset(X1))|subset_intersection2(X1,X0,X2)=set_intersection2(X0,X2))),
% 0.11/0.62 inference(cnf_transformation,[status(thm)],[f220])).
% 0.11/0.62 fof(f222,plain,(
% 0.11/0.62 ![A]: (~one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))))),
% 0.11/0.62 inference(pre_NNF_transformation,[status(thm)],[f49])).
% 0.11/0.62 fof(f223,plain,(
% 0.11/0.62 ![X0]: (~one_sorted_str(X0)|element(cast_as_carrier_subset(X0),powerset(the_carrier(X0))))),
% 0.11/0.62 inference(cnf_transformation,[status(thm)],[f222])).
% 0.11/0.62 fof(f227,plain,(
% 0.11/0.62 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 0.11/0.62 inference(NNF_transformation,[status(thm)],[f56])).
% 0.11/0.62 fof(f228,plain,(
% 0.11/0.62 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 0.11/0.62 inference(miniscoping,[status(thm)],[f227])).
% 0.11/0.62 fof(f229,plain,(
% 0.11/0.62 ![X0,X1]: (~element(X0,powerset(X1))|subset(X0,X1))),
% 0.11/0.62 inference(cnf_transformation,[status(thm)],[f228])).
% 0.11/0.62 fof(f231,plain,(
% 0.11/0.62 ![A]: (~one_sorted_str(A)|cast_as_carrier_subset(A)=the_carrier(A))),
% 0.11/0.62 inference(pre_NNF_transformation,[status(thm)],[f57])).
% 0.11/0.62 fof(f232,plain,(
% 0.11/0.62 ![X0]: (~one_sorted_str(X0)|cast_as_carrier_subset(X0)=the_carrier(X0))),
% 0.11/0.62 inference(cnf_transformation,[status(thm)],[f231])).
% 0.11/0.62 fof(f233,plain,(
% 0.11/0.62 (?[A]: (one_sorted_str(A)&(?[B]: (element(B,powerset(the_carrier(A)))&~subset_intersection2(the_carrier(A),B,cast_as_carrier_subset(A))=B))))),
% 0.11/0.62 inference(pre_NNF_transformation,[status(thm)],[f59])).
% 0.11/0.62 fof(f234,plain,(
% 0.11/0.62 (one_sorted_str(sK5_skl)&(element(sK6_skl,powerset(the_carrier(sK5_skl)))&~subset_intersection2(the_carrier(sK5_skl),sK6_skl,cast_as_carrier_subset(sK5_skl))=sK6_skl))),
% 0.11/0.62 inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl,sK6_skl]),skolemize(A,sK5_skl),skolemize(B,sK6_skl)],[f233])).
% 0.11/0.62 fof(f235,plain,(
% 0.11/0.62 one_sorted_str(sK5_skl)),
% 0.11/0.62 inference(cnf_transformation,[status(thm)],[f234])).
% 0.11/0.62 fof(f236,plain,(
% 0.11/0.62 element(sK6_skl,powerset(the_carrier(sK5_skl)))),
% 0.11/0.62 inference(cnf_transformation,[status(thm)],[f234])).
% 0.11/0.62 fof(f237,plain,(
% 0.11/0.62 ~subset_intersection2(the_carrier(sK5_skl),sK6_skl,cast_as_carrier_subset(sK5_skl))=sK6_skl),
% 0.11/0.62 inference(cnf_transformation,[status(thm)],[f234])).
% 0.11/0.62 fof(f238,plain,(
% 0.11/0.62 ![A,B]: (~subset(A,B)|set_intersection2(A,B)=A)),
% 0.11/0.62 inference(pre_NNF_transformation,[status(thm)],[f60])).
% 0.11/0.62 fof(f239,plain,(
% 0.11/0.62 ![X0,X1]: (~subset(X0,X1)|set_intersection2(X0,X1)=X0)),
% 0.11/0.62 inference(cnf_transformation,[status(thm)],[f238])).
% 0.11/0.62 fof(f240,plain,(
% 0.11/0.62 ![X0]: (~element(X0,powerset(the_carrier(sK5_skl)))|subset_intersection2(the_carrier(sK5_skl),X0,sK6_skl)=subset_intersection2(the_carrier(sK5_skl),sK6_skl,X0))),
% 0.11/0.62 inference(resolution,[status(thm)],[f210,f236])).
% 0.11/0.62 fof(f242,plain,(
% 0.11/0.62 ![X0]: (~element(X0,powerset(the_carrier(sK5_skl)))|subset_intersection2(the_carrier(sK5_skl),X0,sK6_skl)=set_intersection2(X0,sK6_skl))),
% 0.11/0.62 inference(resolution,[status(thm)],[f221,f236])).
% 0.11/0.62 fof(f243,plain,(
% 0.11/0.62 element(cast_as_carrier_subset(sK5_skl),powerset(the_carrier(sK5_skl)))),
% 0.11/0.62 inference(resolution,[status(thm)],[f223,f235])).
% 0.11/0.62 fof(f246,plain,(
% 0.11/0.62 cast_as_carrier_subset(sK5_skl)=the_carrier(sK5_skl)),
% 0.11/0.62 inference(resolution,[status(thm)],[f232,f235])).
% 0.11/0.62 fof(f254,plain,(
% 0.11/0.62 subset_intersection2(the_carrier(sK5_skl),cast_as_carrier_subset(sK5_skl),sK6_skl)=set_intersection2(cast_as_carrier_subset(sK5_skl),sK6_skl)),
% 0.11/0.62 inference(resolution,[status(thm)],[f243,f242])).
% 0.11/0.62 fof(f256,plain,(
% 0.11/0.62 subset_intersection2(the_carrier(sK5_skl),cast_as_carrier_subset(sK5_skl),sK6_skl)=subset_intersection2(the_carrier(sK5_skl),sK6_skl,cast_as_carrier_subset(sK5_skl))),
% 0.11/0.62 inference(resolution,[status(thm)],[f243,f240])).
% 0.11/0.62 fof(f264,plain,(
% 0.11/0.62 ~subset_intersection2(the_carrier(sK5_skl),sK6_skl,the_carrier(sK5_skl))=sK6_skl),
% 0.11/0.62 inference(backward_demodulation,[status(thm)],[f246,f237])).
% 0.11/0.62 fof(f279,plain,(
% 0.11/0.62 subset_intersection2(the_carrier(sK5_skl),the_carrier(sK5_skl),sK6_skl)=set_intersection2(cast_as_carrier_subset(sK5_skl),sK6_skl)),
% 0.11/0.62 inference(forward_demodulation,[status(thm)],[f246,f254])).
% 0.11/0.62 fof(f280,plain,(
% 0.11/0.62 subset_intersection2(the_carrier(sK5_skl),the_carrier(sK5_skl),sK6_skl)=set_intersection2(the_carrier(sK5_skl),sK6_skl)),
% 0.11/0.62 inference(forward_demodulation,[status(thm)],[f246,f279])).
% 0.11/0.62 fof(f284,plain,(
% 0.11/0.62 subset_intersection2(the_carrier(sK5_skl),the_carrier(sK5_skl),sK6_skl)=subset_intersection2(the_carrier(sK5_skl),sK6_skl,cast_as_carrier_subset(sK5_skl))),
% 0.11/0.62 inference(forward_demodulation,[status(thm)],[f246,f256])).
% 0.11/0.62 fof(f285,plain,(
% 0.11/0.62 set_intersection2(the_carrier(sK5_skl),sK6_skl)=subset_intersection2(the_carrier(sK5_skl),sK6_skl,cast_as_carrier_subset(sK5_skl))),
% 0.11/0.62 inference(forward_demodulation,[status(thm)],[f280,f284])).
% 0.11/0.62 fof(f286,plain,(
% 0.11/0.62 ~set_intersection2(the_carrier(sK5_skl),sK6_skl)=sK6_skl),
% 0.11/0.62 inference(backward_demodulation,[status(thm)],[f287,f264])).
% 0.11/0.62 fof(f287,plain,(
% 0.11/0.62 set_intersection2(the_carrier(sK5_skl),sK6_skl)=subset_intersection2(the_carrier(sK5_skl),sK6_skl,the_carrier(sK5_skl))),
% 0.11/0.62 inference(forward_demodulation,[status(thm)],[f246,f285])).
% 0.11/0.62 fof(f288,plain,(
% 0.11/0.62 ~set_intersection2(sK6_skl,the_carrier(sK5_skl))=sK6_skl),
% 0.11/0.62 inference(paramodulation,[status(thm)],[f206,f286])).
% 0.11/0.62 fof(f291,plain,(
% 0.11/0.62 subset(sK6_skl,the_carrier(sK5_skl))),
% 0.11/0.62 inference(resolution,[status(thm)],[f229,f236])).
% 0.11/0.62 fof(f333,plain,(
% 0.11/0.62 set_intersection2(sK6_skl,the_carrier(sK5_skl))=sK6_skl),
% 0.11/0.62 inference(resolution,[status(thm)],[f291,f239])).
% 0.11/0.62 fof(f335,plain,(
% 0.11/0.62 $false),
% 0.11/0.62 inference(forward_subsumption_resolution,[status(thm)],[f333,f288])).
% 0.11/0.62 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.63 % Elapsed time: 0.057141 seconds
% 0.14/0.63 % CPU time: 0.241318 seconds
% 0.14/0.63 % Total memory used: 109.006 MB
% 0.14/0.63 % Net memory used: 108.830 MB
%------------------------------------------------------------------------------