%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT292+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 01:03:32 PM UTC 2026
% Result : Theorem 0.13s 5.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT292+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.35 % Computer : n020.cluster.edu
% 0.09/5.35 % Model : x86_64 x86_64
% 0.09/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.35 % Memory : 8046.5625MB
% 0.09/5.35 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sun Sep 20 23:28:22 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.37 % Drodi V4.1.1
% 0.13/5.40 % Refutation found
% 0.13/5.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/5.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/5.40 fof(f1,conjecture,(
% 0.13/5.40 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& v17_lattices(A)& ~ v3_realset2(A)& l3_lattices(A) )=> (? [B] :( ~ v3_struct_0(B)& v2_pre_topc(B)& l1_pre_topc(B)& r1_filter_1(A,k6_lopclset(B)) ) )) )),
% 0.13/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.40 fof(f2,negated_conjecture,(
% 0.13/5.40 ~((! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& v17_lattices(A)& ~ v3_realset2(A)& l3_lattices(A) )=> (? [B] :( ~ v3_struct_0(B)& v2_pre_topc(B)& l1_pre_topc(B)& r1_filter_1(A,k6_lopclset(B)) ) )) ))),
% 0.13/5.40 inference(negated_conjecture,[status(cth)],[f1])).
% 0.13/5.40 fof(f38,axiom,(
% 0.13/5.40 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& v17_lattices(A)& ~ v3_realset2(A)& l3_lattices(A) )=> k12_lopclset(A) = k6_lopclset(k11_lopclset(A)) ) )),
% 0.13/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.40 fof(f41,axiom,(
% 0.13/5.40 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& v17_lattices(A)& ~ v3_realset2(A)& l3_lattices(A) )=> ( v1_pre_topc(k11_lopclset(A))& v2_pre_topc(k11_lopclset(A))& l1_pre_topc(k11_lopclset(A)) ) ) )),
% 0.13/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.40 fof(f75,axiom,(
% 0.13/5.40 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& v17_lattices(A)& ~ v3_realset2(A)& l3_lattices(A) )=> ( ~ v3_struct_0(k11_lopclset(A))& v1_pre_topc(k11_lopclset(A))& v2_pre_topc(k11_lopclset(A)) ) ) )),
% 0.13/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.40 fof(f108,axiom,(
% 0.13/5.40 (! [A] :( ( ~ v3_struct_0(A)& v10_lattices(A)& v17_lattices(A)& ~ v3_realset2(A)& l3_lattices(A) )=> r1_filter_1(A,k12_lopclset(A)) ) )),
% 0.13/5.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/5.40 fof(f114,plain,(
% 0.13/5.40 (?[A]: (((((~v3_struct_0(A)&v10_lattices(A))&v17_lattices(A))&~v3_realset2(A))&l3_lattices(A))&(![B]: (((v3_struct_0(B)|~v2_pre_topc(B))|~l1_pre_topc(B))|~r1_filter_1(A,k6_lopclset(B))))))),
% 0.13/5.40 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/5.40 fof(f115,plain,(
% 0.13/5.40 (((((~v3_struct_0(sK0_skl)&v10_lattices(sK0_skl))&v17_lattices(sK0_skl))&~v3_realset2(sK0_skl))&l3_lattices(sK0_skl))&(![B]: (((v3_struct_0(B)|~v2_pre_topc(B))|~l1_pre_topc(B))|~r1_filter_1(sK0_skl,k6_lopclset(B)))))),
% 0.13/5.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(A,sK0_skl)],[f114])).
% 0.13/5.40 fof(f116,plain,(
% 0.13/5.40 ~v3_struct_0(sK0_skl)),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f115])).
% 0.13/5.40 fof(f117,plain,(
% 0.13/5.40 v10_lattices(sK0_skl)),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f115])).
% 0.13/5.40 fof(f118,plain,(
% 0.13/5.40 v17_lattices(sK0_skl)),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f115])).
% 0.13/5.40 fof(f119,plain,(
% 0.13/5.40 ~v3_realset2(sK0_skl)),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f115])).
% 0.13/5.40 fof(f120,plain,(
% 0.13/5.40 l3_lattices(sK0_skl)),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f115])).
% 0.13/5.40 fof(f121,plain,(
% 0.13/5.40 ![X0]: (v3_struct_0(X0)|~v2_pre_topc(X0)|~l1_pre_topc(X0)|~r1_filter_1(sK0_skl,k6_lopclset(X0)))),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f115])).
% 0.13/5.40 fof(f249,plain,(
% 0.13/5.40 ![A]: (((((v3_struct_0(A)|~v10_lattices(A))|~v17_lattices(A))|v3_realset2(A))|~l3_lattices(A))|k12_lopclset(A)=k6_lopclset(k11_lopclset(A)))),
% 0.13/5.40 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.13/5.40 fof(f250,plain,(
% 0.13/5.40 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~v17_lattices(X0)|v3_realset2(X0)|~l3_lattices(X0)|k12_lopclset(X0)=k6_lopclset(k11_lopclset(X0)))),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f249])).
% 0.13/5.40 fof(f257,plain,(
% 0.13/5.40 ![A]: (((((v3_struct_0(A)|~v10_lattices(A))|~v17_lattices(A))|v3_realset2(A))|~l3_lattices(A))|((v1_pre_topc(k11_lopclset(A))&v2_pre_topc(k11_lopclset(A)))&l1_pre_topc(k11_lopclset(A))))),
% 0.13/5.40 inference(pre_NNF_transformation,[status(thm)],[f41])).
% 0.13/5.40 fof(f259,plain,(
% 0.13/5.40 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~v17_lattices(X0)|v3_realset2(X0)|~l3_lattices(X0)|v2_pre_topc(k11_lopclset(X0)))),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f257])).
% 0.13/5.40 fof(f260,plain,(
% 0.13/5.40 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~v17_lattices(X0)|v3_realset2(X0)|~l3_lattices(X0)|l1_pre_topc(k11_lopclset(X0)))),
% 0.13/5.40 inference(cnf_transformation,[status(thm)],[f257])).
% 0.13/5.40 fof(f330,plain,(
% 0.13/5.41 ![A]: (((((v3_struct_0(A)|~v10_lattices(A))|~v17_lattices(A))|v3_realset2(A))|~l3_lattices(A))|((~v3_struct_0(k11_lopclset(A))&v1_pre_topc(k11_lopclset(A)))&v2_pre_topc(k11_lopclset(A))))),
% 0.13/5.41 inference(pre_NNF_transformation,[status(thm)],[f75])).
% 0.13/5.41 fof(f331,plain,(
% 0.13/5.41 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~v17_lattices(X0)|v3_realset2(X0)|~l3_lattices(X0)|~v3_struct_0(k11_lopclset(X0)))),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f330])).
% 0.13/5.41 fof(f530,plain,(
% 0.13/5.41 ![A]: (((((v3_struct_0(A)|~v10_lattices(A))|~v17_lattices(A))|v3_realset2(A))|~l3_lattices(A))|r1_filter_1(A,k12_lopclset(A)))),
% 0.13/5.41 inference(pre_NNF_transformation,[status(thm)],[f108])).
% 0.13/5.41 fof(f531,plain,(
% 0.13/5.41 ![X0]: (v3_struct_0(X0)|~v10_lattices(X0)|~v17_lattices(X0)|v3_realset2(X0)|~l3_lattices(X0)|r1_filter_1(X0,k12_lopclset(X0)))),
% 0.13/5.41 inference(cnf_transformation,[status(thm)],[f530])).
% 0.13/5.41 fof(f557,plain,(
% 0.13/5.41 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~v17_lattices(sK0_skl)|v3_realset2(sK0_skl)|r1_filter_1(sK0_skl,k12_lopclset(sK0_skl))),
% 0.13/5.41 inference(resolution,[status(thm)],[f531,f120])).
% 0.13/5.41 fof(f558,plain,(
% 0.13/5.41 ~v10_lattices(sK0_skl)|~v17_lattices(sK0_skl)|v3_realset2(sK0_skl)|r1_filter_1(sK0_skl,k12_lopclset(sK0_skl))),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f557,f116])).
% 0.13/5.41 fof(f559,plain,(
% 0.13/5.41 ~v17_lattices(sK0_skl)|v3_realset2(sK0_skl)|r1_filter_1(sK0_skl,k12_lopclset(sK0_skl))),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f558,f117])).
% 0.13/5.41 fof(f560,plain,(
% 0.13/5.41 v3_realset2(sK0_skl)|r1_filter_1(sK0_skl,k12_lopclset(sK0_skl))),
% 0.13/5.41 inference(resolution,[status(thm)],[f559,f118])).
% 0.13/5.41 fof(f561,plain,(
% 0.13/5.41 r1_filter_1(sK0_skl,k12_lopclset(sK0_skl))),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f560,f119])).
% 0.13/5.41 fof(f729,plain,(
% 0.13/5.41 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~v17_lattices(sK0_skl)|v3_realset2(sK0_skl)|k12_lopclset(sK0_skl)=k6_lopclset(k11_lopclset(sK0_skl))),
% 0.13/5.41 inference(resolution,[status(thm)],[f250,f120])).
% 0.13/5.41 fof(f732,plain,(
% 0.13/5.41 ~v10_lattices(sK0_skl)|~v17_lattices(sK0_skl)|v3_realset2(sK0_skl)|k12_lopclset(sK0_skl)=k6_lopclset(k11_lopclset(sK0_skl))),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f729,f116])).
% 0.13/5.41 fof(f737,plain,(
% 0.13/5.41 ~v17_lattices(sK0_skl)|v3_realset2(sK0_skl)|k12_lopclset(sK0_skl)=k6_lopclset(k11_lopclset(sK0_skl))),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f732,f117])).
% 0.13/5.41 fof(f738,plain,(
% 0.13/5.41 v3_realset2(sK0_skl)|k12_lopclset(sK0_skl)=k6_lopclset(k11_lopclset(sK0_skl))),
% 0.13/5.41 inference(resolution,[status(thm)],[f737,f118])).
% 0.13/5.41 fof(f739,plain,(
% 0.13/5.41 k12_lopclset(sK0_skl)=k6_lopclset(k11_lopclset(sK0_skl))),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f738,f119])).
% 0.13/5.41 fof(f742,plain,(
% 0.13/5.41 v3_struct_0(k11_lopclset(sK0_skl))|~v2_pre_topc(k11_lopclset(sK0_skl))|~l1_pre_topc(k11_lopclset(sK0_skl))|~r1_filter_1(sK0_skl,k12_lopclset(sK0_skl))),
% 0.13/5.41 inference(paramodulation,[status(thm)],[f739,f121])).
% 0.13/5.41 fof(f743,plain,(
% 0.13/5.41 v3_struct_0(k11_lopclset(sK0_skl))|~v2_pre_topc(k11_lopclset(sK0_skl))|~l1_pre_topc(k11_lopclset(sK0_skl))),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f742,f561])).
% 0.13/5.41 fof(f781,plain,(
% 0.13/5.41 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~v17_lattices(sK0_skl)|v3_realset2(sK0_skl)|v2_pre_topc(k11_lopclset(sK0_skl))),
% 0.13/5.41 inference(resolution,[status(thm)],[f259,f120])).
% 0.13/5.41 fof(f784,plain,(
% 0.13/5.41 ~v10_lattices(sK0_skl)|~v17_lattices(sK0_skl)|v3_realset2(sK0_skl)|v2_pre_topc(k11_lopclset(sK0_skl))),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f781,f116])).
% 0.13/5.41 fof(f789,plain,(
% 0.13/5.41 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~v17_lattices(sK0_skl)|v3_realset2(sK0_skl)|l1_pre_topc(k11_lopclset(sK0_skl))),
% 0.13/5.41 inference(resolution,[status(thm)],[f260,f120])).
% 0.13/5.41 fof(f792,plain,(
% 0.13/5.41 ~v10_lattices(sK0_skl)|~v17_lattices(sK0_skl)|v3_realset2(sK0_skl)|l1_pre_topc(k11_lopclset(sK0_skl))),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f789,f116])).
% 0.13/5.41 fof(f811,plain,(
% 0.13/5.41 ~v17_lattices(sK0_skl)|v3_realset2(sK0_skl)|v2_pre_topc(k11_lopclset(sK0_skl))),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f784,f117])).
% 0.13/5.41 fof(f812,plain,(
% 0.13/5.41 v3_realset2(sK0_skl)|v2_pre_topc(k11_lopclset(sK0_skl))),
% 0.13/5.41 inference(resolution,[status(thm)],[f811,f118])).
% 0.13/5.41 fof(f813,plain,(
% 0.13/5.41 v2_pre_topc(k11_lopclset(sK0_skl))),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f812,f119])).
% 0.13/5.41 fof(f814,plain,(
% 0.13/5.41 ~v17_lattices(sK0_skl)|v3_realset2(sK0_skl)|l1_pre_topc(k11_lopclset(sK0_skl))),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f792,f117])).
% 0.13/5.41 fof(f815,plain,(
% 0.13/5.41 v3_realset2(sK0_skl)|l1_pre_topc(k11_lopclset(sK0_skl))),
% 0.13/5.41 inference(resolution,[status(thm)],[f814,f118])).
% 0.13/5.41 fof(f816,plain,(
% 0.13/5.41 l1_pre_topc(k11_lopclset(sK0_skl))),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f815,f119])).
% 0.13/5.41 fof(f817,plain,(
% 0.13/5.41 v3_struct_0(k11_lopclset(sK0_skl))|~l1_pre_topc(k11_lopclset(sK0_skl))),
% 0.13/5.41 inference(backward_subsumption_resolution,[status(thm)],[f743,f813])).
% 0.13/5.41 fof(f894,plain,(
% 0.13/5.41 v3_struct_0(k11_lopclset(sK0_skl))),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f817,f816])).
% 0.13/5.41 fof(f1059,plain,(
% 0.13/5.41 v3_struct_0(sK0_skl)|~v10_lattices(sK0_skl)|~v17_lattices(sK0_skl)|v3_realset2(sK0_skl)|~l3_lattices(sK0_skl)),
% 0.13/5.41 inference(resolution,[status(thm)],[f331,f894])).
% 0.13/5.41 fof(f1060,plain,(
% 0.13/5.41 ~v10_lattices(sK0_skl)|~v17_lattices(sK0_skl)|v3_realset2(sK0_skl)|~l3_lattices(sK0_skl)),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f1059,f116])).
% 0.13/5.41 fof(f1099,plain,(
% 0.13/5.41 ~v17_lattices(sK0_skl)|v3_realset2(sK0_skl)|~l3_lattices(sK0_skl)),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f1060,f117])).
% 0.13/5.41 fof(f1100,plain,(
% 0.13/5.41 ~v17_lattices(sK0_skl)|v3_realset2(sK0_skl)),
% 0.13/5.41 inference(resolution,[status(thm)],[f1099,f120])).
% 0.13/5.41 fof(f1101,plain,(
% 0.13/5.41 v3_realset2(sK0_skl)),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f1100,f118])).
% 0.13/5.41 fof(f1157,plain,(
% 0.13/5.41 $false),
% 0.13/5.41 inference(forward_subsumption_resolution,[status(thm)],[f1101,f119])).
% 0.13/5.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.43 % Elapsed time: 0.065197 seconds
% 0.13/5.43 % CPU time: 0.201143 seconds
% 0.13/5.43 % Total memory used: 93.084 MB
% 0.13/5.43 % Net memory used: 92.962 MB
%------------------------------------------------------------------------------