%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU350+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 : n013.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 02:22:24 PM UTC 2026
% Result : Theorem 0.15s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU350+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.43 % Computer : n013.cluster.edu
% 0.15/0.43 % Model : x86_64 x86_64
% 0.15/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.43 % Memory : 8046.5625MB
% 0.15/0.43 % OS : Linux 6.8.0-71-generic
% 0.15/0.43 % CPULimit : 300
% 0.15/0.43 % WCLimit : 300
% 0.15/0.43 % DateTime : Mon Sep 21 06:14:06 UTC 2026
% 0.15/0.44 % CPUTime :
% 0.15/0.46 % Drodi V4.1.1
% 0.15/0.47 % Refutation found
% 0.15/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.47 fof(f7,axiom,(
% 0.15/0.47 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> cast_to_el_of_LattPOSet(A,B) = B ) )) )),
% 0.15/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f8,axiom,(
% 0.15/0.47 (! [A] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(poset_of_lattice(A)))=> cast_to_el_of_lattice(A,B) = B ) )) )),
% 0.15/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f16,axiom,(
% 0.15/0.47 (! [A,B] :( ( ~ empty_carrier(A)& lattice(A)& latt_str(A)& element(B,the_carrier(poset_of_lattice(A))) )=> element(cast_to_el_of_lattice(A,B),the_carrier(A)) ) )),
% 0.15/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f58,axiom,(
% 0.15/0.47 (! [A,B] :( ( ~ empty_carrier(B)& lattice(B)& latt_str(B) )=> (! [C] :( element(C,the_carrier(B))=> ( latt_element_smaller(B,C,A)<=> relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)) ) ) )) )),
% 0.15/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f59,conjecture,(
% 0.15/0.47 (! [A,B] :( ( ~ empty_carrier(B)& lattice(B)& latt_str(B) )=> (! [C] :( element(C,the_carrier(poset_of_lattice(B)))=> ( relstr_set_smaller(poset_of_lattice(B),A,C)<=> latt_element_smaller(B,cast_to_el_of_lattice(B,C),A) ) ) )) )),
% 0.15/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.47 fof(f60,negated_conjecture,(
% 0.15/0.47 ~((! [A,B] :( ( ~ empty_carrier(B)& lattice(B)& latt_str(B) )=> (! [C] :( element(C,the_carrier(poset_of_lattice(B)))=> ( relstr_set_smaller(poset_of_lattice(B),A,C)<=> latt_element_smaller(B,cast_to_el_of_lattice(B,C),A) ) ) )) ))),
% 0.15/0.47 inference(negated_conjecture,[status(cth)],[f59])).
% 0.15/0.47 fof(f87,plain,(
% 0.15/0.47 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|(![B]: (~element(B,the_carrier(A))|cast_to_el_of_LattPOSet(A,B)=B)))),
% 0.15/0.47 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.15/0.47 fof(f88,plain,(
% 0.15/0.47 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|cast_to_el_of_LattPOSet(X0,X1)=X1)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f87])).
% 0.15/0.47 fof(f89,plain,(
% 0.15/0.47 ![A]: (((empty_carrier(A)|~lattice(A))|~latt_str(A))|(![B]: (~element(B,the_carrier(poset_of_lattice(A)))|cast_to_el_of_lattice(A,B)=B)))),
% 0.15/0.47 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.15/0.47 fof(f90,plain,(
% 0.15/0.47 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(poset_of_lattice(X0)))|cast_to_el_of_lattice(X0,X1)=X1)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f89])).
% 0.15/0.47 fof(f108,plain,(
% 0.15/0.47 ![A,B]: ((((empty_carrier(A)|~lattice(A))|~latt_str(A))|~element(B,the_carrier(poset_of_lattice(A))))|element(cast_to_el_of_lattice(A,B),the_carrier(A)))),
% 0.15/0.47 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.15/0.47 fof(f109,plain,(
% 0.15/0.47 ![X0,X1]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(poset_of_lattice(X0)))|element(cast_to_el_of_lattice(X0,X1),the_carrier(X0)))),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f108])).
% 0.15/0.47 fof(f210,plain,(
% 0.15/0.47 ![A,B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|(![C]: (~element(C,the_carrier(B))|(latt_element_smaller(B,C,A)<=>relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C))))))),
% 0.15/0.47 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 0.15/0.47 fof(f211,plain,(
% 0.15/0.47 ![A,B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|(![C]: (~element(C,the_carrier(B))|((~latt_element_smaller(B,C,A)|relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)))&(latt_element_smaller(B,C,A)|~relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)))))))),
% 0.15/0.47 inference(NNF_transformation,[status(thm)],[f210])).
% 0.15/0.47 fof(f212,plain,(
% 0.15/0.47 ![B]: (((empty_carrier(B)|~lattice(B))|~latt_str(B))|(![C]: (~element(C,the_carrier(B))|((![A]: (~latt_element_smaller(B,C,A)|relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C))))&(![A]: (latt_element_smaller(B,C,A)|~relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C))))))))),
% 0.15/0.47 inference(miniscoping,[status(thm)],[f211])).
% 0.15/0.47 fof(f213,plain,(
% 0.15/0.47 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|~latt_element_smaller(X0,X1,X2)|relstr_set_smaller(poset_of_lattice(X0),X2,cast_to_el_of_LattPOSet(X0,X1)))),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f212])).
% 0.15/0.47 fof(f214,plain,(
% 0.15/0.47 ![X0,X1,X2]: (empty_carrier(X0)|~lattice(X0)|~latt_str(X0)|~element(X1,the_carrier(X0))|latt_element_smaller(X0,X1,X2)|~relstr_set_smaller(poset_of_lattice(X0),X2,cast_to_el_of_LattPOSet(X0,X1)))),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f212])).
% 0.15/0.47 fof(f215,plain,(
% 0.15/0.47 (?[A,B]: (((~empty_carrier(B)&lattice(B))&latt_str(B))&(?[C]: (element(C,the_carrier(poset_of_lattice(B)))&(relstr_set_smaller(poset_of_lattice(B),A,C)<~>latt_element_smaller(B,cast_to_el_of_lattice(B,C),A))))))),
% 0.15/0.47 inference(pre_NNF_transformation,[status(thm)],[f60])).
% 0.15/0.47 fof(f216,plain,(
% 0.15/0.47 ?[A,B]: (((~empty_carrier(B)&lattice(B))&latt_str(B))&(?[C]: (element(C,the_carrier(poset_of_lattice(B)))&((relstr_set_smaller(poset_of_lattice(B),A,C)|latt_element_smaller(B,cast_to_el_of_lattice(B,C),A))&(~relstr_set_smaller(poset_of_lattice(B),A,C)|~latt_element_smaller(B,cast_to_el_of_lattice(B,C),A))))))),
% 0.15/0.47 inference(NNF_transformation,[status(thm)],[f215])).
% 0.15/0.47 fof(f217,plain,(
% 0.15/0.47 ?[B]: (((~empty_carrier(B)&lattice(B))&latt_str(B))&(?[C]: (element(C,the_carrier(poset_of_lattice(B)))&(?[A]: ((relstr_set_smaller(poset_of_lattice(B),A,C)|latt_element_smaller(B,cast_to_el_of_lattice(B,C),A))&(~relstr_set_smaller(poset_of_lattice(B),A,C)|~latt_element_smaller(B,cast_to_el_of_lattice(B,C),A)))))))),
% 0.15/0.47 inference(miniscoping,[status(thm)],[f216])).
% 0.15/0.47 fof(f218,plain,(
% 0.15/0.47 (((~empty_carrier(sK16_skl)&lattice(sK16_skl))&latt_str(sK16_skl))&(element(sK17_skl,the_carrier(poset_of_lattice(sK16_skl)))&((relstr_set_smaller(poset_of_lattice(sK16_skl),sK18_skl,sK17_skl)|latt_element_smaller(sK16_skl,cast_to_el_of_lattice(sK16_skl,sK17_skl),sK18_skl))&(~relstr_set_smaller(poset_of_lattice(sK16_skl),sK18_skl,sK17_skl)|~latt_element_smaller(sK16_skl,cast_to_el_of_lattice(sK16_skl,sK17_skl),sK18_skl)))))),
% 0.15/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK16_skl,sK17_skl,sK18_skl]),skolemize(B,sK16_skl),skolemize(C,sK17_skl),skolemize(A,sK18_skl)],[f217])).
% 0.15/0.47 fof(f219,plain,(
% 0.15/0.47 ~empty_carrier(sK16_skl)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f218])).
% 0.15/0.47 fof(f220,plain,(
% 0.15/0.47 lattice(sK16_skl)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f218])).
% 0.15/0.47 fof(f221,plain,(
% 0.15/0.47 latt_str(sK16_skl)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f218])).
% 0.15/0.47 fof(f222,plain,(
% 0.15/0.47 element(sK17_skl,the_carrier(poset_of_lattice(sK16_skl)))),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f218])).
% 0.15/0.47 fof(f223,plain,(
% 0.15/0.47 relstr_set_smaller(poset_of_lattice(sK16_skl),sK18_skl,sK17_skl)|latt_element_smaller(sK16_skl,cast_to_el_of_lattice(sK16_skl,sK17_skl),sK18_skl)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f218])).
% 0.15/0.47 fof(f224,plain,(
% 0.15/0.47 ~relstr_set_smaller(poset_of_lattice(sK16_skl),sK18_skl,sK17_skl)|~latt_element_smaller(sK16_skl,cast_to_el_of_lattice(sK16_skl,sK17_skl),sK18_skl)),
% 0.15/0.47 inference(cnf_transformation,[status(thm)],[f218])).
% 0.15/0.47 fof(f243,plain,(
% 0.15/0.47 empty_carrier(sK16_skl)|~lattice(sK16_skl)|~latt_str(sK16_skl)|cast_to_el_of_lattice(sK16_skl,sK17_skl)=sK17_skl),
% 0.15/0.47 inference(resolution,[status(thm)],[f90,f222])).
% 0.15/0.47 fof(f244,plain,(
% 0.15/0.47 ~lattice(sK16_skl)|~latt_str(sK16_skl)|cast_to_el_of_lattice(sK16_skl,sK17_skl)=sK17_skl),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f243,f219])).
% 0.15/0.47 fof(f245,plain,(
% 0.15/0.47 empty_carrier(sK16_skl)|~lattice(sK16_skl)|~latt_str(sK16_skl)|element(cast_to_el_of_lattice(sK16_skl,sK17_skl),the_carrier(sK16_skl))),
% 0.15/0.47 inference(resolution,[status(thm)],[f109,f222])).
% 0.15/0.47 fof(f246,plain,(
% 0.15/0.47 ~lattice(sK16_skl)|~latt_str(sK16_skl)|element(cast_to_el_of_lattice(sK16_skl,sK17_skl),the_carrier(sK16_skl))),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f245,f219])).
% 0.15/0.47 fof(f260,plain,(
% 0.15/0.47 ~latt_str(sK16_skl)|cast_to_el_of_lattice(sK16_skl,sK17_skl)=sK17_skl),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f244,f220])).
% 0.15/0.47 fof(f261,plain,(
% 0.15/0.47 cast_to_el_of_lattice(sK16_skl,sK17_skl)=sK17_skl),
% 0.15/0.47 inference(resolution,[status(thm)],[f260,f221])).
% 0.15/0.47 fof(f262,plain,(
% 0.15/0.47 ~latt_str(sK16_skl)|element(cast_to_el_of_lattice(sK16_skl,sK17_skl),the_carrier(sK16_skl))),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f246,f220])).
% 0.15/0.47 fof(f272,plain,(
% 0.15/0.47 ~latt_str(sK16_skl)|element(sK17_skl,the_carrier(sK16_skl))),
% 0.15/0.47 inference(backward_demodulation,[status(thm)],[f261,f262])).
% 0.15/0.47 fof(f274,plain,(
% 0.15/0.47 ~relstr_set_smaller(poset_of_lattice(sK16_skl),sK18_skl,sK17_skl)|~latt_element_smaller(sK16_skl,sK17_skl,sK18_skl)),
% 0.15/0.47 inference(backward_demodulation,[status(thm)],[f261,f224])).
% 0.15/0.47 fof(f275,plain,(
% 0.15/0.47 relstr_set_smaller(poset_of_lattice(sK16_skl),sK18_skl,sK17_skl)|latt_element_smaller(sK16_skl,sK17_skl,sK18_skl)),
% 0.15/0.47 inference(backward_demodulation,[status(thm)],[f261,f223])).
% 0.15/0.47 fof(f276,plain,(
% 0.15/0.47 element(sK17_skl,the_carrier(sK16_skl))),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f272,f221])).
% 0.15/0.47 fof(f282,plain,(
% 0.15/0.47 empty_carrier(sK16_skl)|~lattice(sK16_skl)|~latt_str(sK16_skl)|cast_to_el_of_LattPOSet(sK16_skl,sK17_skl)=sK17_skl),
% 0.15/0.47 inference(resolution,[status(thm)],[f276,f88])).
% 0.15/0.47 fof(f283,plain,(
% 0.15/0.47 ![X0]: (empty_carrier(sK16_skl)|~lattice(sK16_skl)|~latt_str(sK16_skl)|~latt_element_smaller(sK16_skl,sK17_skl,X0)|relstr_set_smaller(poset_of_lattice(sK16_skl),X0,cast_to_el_of_LattPOSet(sK16_skl,sK17_skl)))),
% 0.15/0.47 inference(resolution,[status(thm)],[f276,f213])).
% 0.15/0.47 fof(f284,plain,(
% 0.15/0.47 ~lattice(sK16_skl)|~latt_str(sK16_skl)|cast_to_el_of_LattPOSet(sK16_skl,sK17_skl)=sK17_skl),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f282,f219])).
% 0.15/0.47 fof(f285,plain,(
% 0.15/0.47 ![X0]: (~lattice(sK16_skl)|~latt_str(sK16_skl)|~latt_element_smaller(sK16_skl,sK17_skl,X0)|relstr_set_smaller(poset_of_lattice(sK16_skl),X0,cast_to_el_of_LattPOSet(sK16_skl,sK17_skl)))),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f283,f219])).
% 0.15/0.47 fof(f300,plain,(
% 0.15/0.47 ~latt_str(sK16_skl)|cast_to_el_of_LattPOSet(sK16_skl,sK17_skl)=sK17_skl),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f284,f220])).
% 0.15/0.47 fof(f301,plain,(
% 0.15/0.47 cast_to_el_of_LattPOSet(sK16_skl,sK17_skl)=sK17_skl),
% 0.15/0.47 inference(resolution,[status(thm)],[f300,f221])).
% 0.15/0.47 fof(f303,plain,(
% 0.15/0.47 ![X0]: (empty_carrier(sK16_skl)|~lattice(sK16_skl)|~latt_str(sK16_skl)|~element(sK17_skl,the_carrier(sK16_skl))|latt_element_smaller(sK16_skl,sK17_skl,X0)|~relstr_set_smaller(poset_of_lattice(sK16_skl),X0,sK17_skl))),
% 0.15/0.47 inference(paramodulation,[status(thm)],[f301,f214])).
% 0.15/0.47 fof(f304,plain,(
% 0.15/0.47 ![X0]: (~lattice(sK16_skl)|~latt_str(sK16_skl)|~element(sK17_skl,the_carrier(sK16_skl))|latt_element_smaller(sK16_skl,sK17_skl,X0)|~relstr_set_smaller(poset_of_lattice(sK16_skl),X0,sK17_skl))),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f303,f219])).
% 0.15/0.47 fof(f306,plain,(
% 0.15/0.47 ![X0]: (~lattice(sK16_skl)|~latt_str(sK16_skl)|~latt_element_smaller(sK16_skl,sK17_skl,X0)|relstr_set_smaller(poset_of_lattice(sK16_skl),X0,sK17_skl))),
% 0.15/0.47 inference(forward_demodulation,[status(thm)],[f301,f285])).
% 0.15/0.47 fof(f307,plain,(
% 0.15/0.47 ![X0]: (~latt_str(sK16_skl)|~latt_element_smaller(sK16_skl,sK17_skl,X0)|relstr_set_smaller(poset_of_lattice(sK16_skl),X0,sK17_skl))),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f306,f220])).
% 0.15/0.47 fof(f308,plain,(
% 0.15/0.47 ![X0]: (~latt_str(sK16_skl)|~element(sK17_skl,the_carrier(sK16_skl))|latt_element_smaller(sK16_skl,sK17_skl,X0)|~relstr_set_smaller(poset_of_lattice(sK16_skl),X0,sK17_skl))),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f304,f220])).
% 0.15/0.47 fof(f309,plain,(
% 0.15/0.47 ~latt_str(sK16_skl)|~element(sK17_skl,the_carrier(sK16_skl))|latt_element_smaller(sK16_skl,sK17_skl,sK18_skl)|latt_element_smaller(sK16_skl,sK17_skl,sK18_skl)),
% 0.15/0.47 inference(resolution,[status(thm)],[f308,f275])).
% 0.15/0.47 fof(f310,plain,(
% 0.15/0.47 ~latt_str(sK16_skl)|~element(sK17_skl,the_carrier(sK16_skl))|latt_element_smaller(sK16_skl,sK17_skl,sK18_skl)),
% 0.15/0.47 inference(duplicate_literals_removal,[status(thm)],[f309])).
% 0.15/0.47 fof(f311,plain,(
% 0.15/0.47 ~element(sK17_skl,the_carrier(sK16_skl))|latt_element_smaller(sK16_skl,sK17_skl,sK18_skl)),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f310,f221])).
% 0.15/0.47 fof(f312,plain,(
% 0.15/0.47 ~relstr_set_smaller(poset_of_lattice(sK16_skl),sK18_skl,sK17_skl)),
% 0.15/0.47 inference(backward_subsumption_resolution,[status(thm)],[f274,f313])).
% 0.15/0.47 fof(f313,plain,(
% 0.15/0.47 latt_element_smaller(sK16_skl,sK17_skl,sK18_skl)),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f311,f276])).
% 0.15/0.47 fof(f314,plain,(
% 0.15/0.47 ~latt_str(sK16_skl)|relstr_set_smaller(poset_of_lattice(sK16_skl),sK18_skl,sK17_skl)),
% 0.15/0.47 inference(resolution,[status(thm)],[f313,f307])).
% 0.15/0.47 fof(f315,plain,(
% 0.15/0.47 relstr_set_smaller(poset_of_lattice(sK16_skl),sK18_skl,sK17_skl)),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f314,f221])).
% 0.15/0.47 fof(f333,plain,(
% 0.15/0.47 $false),
% 0.15/0.47 inference(forward_subsumption_resolution,[status(thm)],[f315,f312])).
% 0.15/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.55 % Elapsed time: 0.098658 seconds
% 0.15/0.55 % CPU time: 0.103110 seconds
% 0.15/0.55 % Total memory used: 8.010 MB
% 0.15/0.55 % Net memory used: 8.005 MB
%------------------------------------------------------------------------------