%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU413+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 02:22:34 PM UTC 2026
% Result : Theorem 0.16s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU413+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n017.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Mon Sep 21 06:17:57 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.43 % Drodi V4.1.1
% 0.16/0.49 % Refutation found
% 0.16/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.49 fof(f1,conjecture,(
% 0.16/0.49 (! [A] :( l1_orders_2(A)=> (! [B] :( l1_orders_2(B)=> (! [C] :( m1_subset_1(C,u1_struct_0(k1_latsum_1(A,B)))=> (! [D] :( m1_subset_1(D,u1_struct_0(k1_latsum_1(A,B)))=> ( ( v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B)& m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B)))& r1_orders_2(k1_latsum_1(A,B),C,D)& r2_hidden(D,u1_struct_0(A)) )=> r2_hidden(C,u1_struct_0(A)) ) ) )) )) )) )),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f2,negated_conjecture,(
% 0.16/0.49 ~((! [A] :( l1_orders_2(A)=> (! [B] :( l1_orders_2(B)=> (! [C] :( m1_subset_1(C,u1_struct_0(k1_latsum_1(A,B)))=> (! [D] :( m1_subset_1(D,u1_struct_0(k1_latsum_1(A,B)))=> ( ( v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B)& m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B)))& r1_orders_2(k1_latsum_1(A,B),C,D)& r2_hidden(D,u1_struct_0(A)) )=> r2_hidden(C,u1_struct_0(A)) ) ) )) )) )) ))),
% 0.16/0.49 inference(negated_conjecture,[status(cth)],[f1])).
% 0.16/0.49 fof(f7,axiom,(
% 0.16/0.49 (! [A] :( l1_orders_2(A)=> (! [B] :( m1_subset_1(B,u1_struct_0(A))=> (! [C] :( m1_subset_1(C,u1_struct_0(A))=> ( r1_orders_2(A,B,C)<=> r2_hidden(k4_tarski(B,C),u1_orders_2(A)) ) ) )) )) )),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f9,axiom,(
% 0.16/0.49 (! [A,B] :( ( l1_orders_2(A)& l1_orders_2(B) )=> ( v1_orders_2(k1_latsum_1(A,B))& l1_orders_2(k1_latsum_1(A,B)) ) ) )),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f35,axiom,(
% 0.16/0.49 (! [A] :( l1_orders_2(A)=> (! [B] :( l1_orders_2(B)=> (! [C,D] :( ( v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B)& m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B)))& r2_hidden(k4_tarski(C,D),u1_orders_2(k1_latsum_1(A,B)))& r2_hidden(D,u1_struct_0(A)) )=> r2_hidden(C,u1_struct_0(A)) ) )) )) )),
% 0.16/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.49 fof(f44,plain,(
% 0.16/0.49 (?[A]: (l1_orders_2(A)&(?[B]: (l1_orders_2(B)&(?[C]: (m1_subset_1(C,u1_struct_0(k1_latsum_1(A,B)))&(?[D]: (m1_subset_1(D,u1_struct_0(k1_latsum_1(A,B)))&((((v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B)&m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B))))&r1_orders_2(k1_latsum_1(A,B),C,D))&r2_hidden(D,u1_struct_0(A)))&~r2_hidden(C,u1_struct_0(A)))))))))))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.16/0.49 fof(f45,plain,(
% 0.16/0.49 (l1_orders_2(sK0_skl)&(l1_orders_2(sK1_skl)&(m1_subset_1(sK2_skl,u1_struct_0(k1_latsum_1(sK0_skl,sK1_skl)))&(m1_subset_1(sK3_skl,u1_struct_0(k1_latsum_1(sK0_skl,sK1_skl)))&((((v12_waybel_0(k3_xboole_0(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)),sK1_skl)&m1_subset_1(k3_xboole_0(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)),k1_zfmisc_1(u1_struct_0(sK1_skl))))&r1_orders_2(k1_latsum_1(sK0_skl,sK1_skl),sK2_skl,sK3_skl))&r2_hidden(sK3_skl,u1_struct_0(sK0_skl)))&~r2_hidden(sK2_skl,u1_struct_0(sK0_skl)))))))),
% 0.16/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl),skolemize(D,sK3_skl)],[f44])).
% 0.16/0.49 fof(f46,plain,(
% 0.16/0.49 l1_orders_2(sK0_skl)),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f45])).
% 0.16/0.49 fof(f47,plain,(
% 0.16/0.49 l1_orders_2(sK1_skl)),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f45])).
% 0.16/0.49 fof(f48,plain,(
% 0.16/0.49 m1_subset_1(sK2_skl,u1_struct_0(k1_latsum_1(sK0_skl,sK1_skl)))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f45])).
% 0.16/0.49 fof(f49,plain,(
% 0.16/0.49 m1_subset_1(sK3_skl,u1_struct_0(k1_latsum_1(sK0_skl,sK1_skl)))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f45])).
% 0.16/0.49 fof(f50,plain,(
% 0.16/0.49 v12_waybel_0(k3_xboole_0(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)),sK1_skl)),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f45])).
% 0.16/0.49 fof(f51,plain,(
% 0.16/0.49 m1_subset_1(k3_xboole_0(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)),k1_zfmisc_1(u1_struct_0(sK1_skl)))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f45])).
% 0.16/0.49 fof(f52,plain,(
% 0.16/0.49 r1_orders_2(k1_latsum_1(sK0_skl,sK1_skl),sK2_skl,sK3_skl)),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f45])).
% 0.16/0.49 fof(f53,plain,(
% 0.16/0.49 r2_hidden(sK3_skl,u1_struct_0(sK0_skl))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f45])).
% 0.16/0.49 fof(f54,plain,(
% 0.16/0.49 ~r2_hidden(sK2_skl,u1_struct_0(sK0_skl))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f45])).
% 0.16/0.49 fof(f63,plain,(
% 0.16/0.49 ![A]: (~l1_orders_2(A)|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(![C]: (~m1_subset_1(C,u1_struct_0(A))|(r1_orders_2(A,B,C)<=>r2_hidden(k4_tarski(B,C),u1_orders_2(A))))))))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.16/0.49 fof(f64,plain,(
% 0.16/0.49 ![A]: (~l1_orders_2(A)|(![B]: (~m1_subset_1(B,u1_struct_0(A))|(![C]: (~m1_subset_1(C,u1_struct_0(A))|((~r1_orders_2(A,B,C)|r2_hidden(k4_tarski(B,C),u1_orders_2(A)))&(r1_orders_2(A,B,C)|~r2_hidden(k4_tarski(B,C),u1_orders_2(A)))))))))),
% 0.16/0.49 inference(NNF_transformation,[status(thm)],[f63])).
% 0.16/0.49 fof(f65,plain,(
% 0.16/0.49 ![X0,X1,X2]: (~l1_orders_2(X0)|~m1_subset_1(X1,u1_struct_0(X0))|~m1_subset_1(X2,u1_struct_0(X0))|~r1_orders_2(X0,X1,X2)|r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0)))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f64])).
% 0.16/0.49 fof(f70,plain,(
% 0.16/0.49 ![A,B]: ((~l1_orders_2(A)|~l1_orders_2(B))|(v1_orders_2(k1_latsum_1(A,B))&l1_orders_2(k1_latsum_1(A,B))))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.16/0.49 fof(f72,plain,(
% 0.16/0.49 ![X0,X1]: (~l1_orders_2(X0)|~l1_orders_2(X1)|l1_orders_2(k1_latsum_1(X0,X1)))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f70])).
% 0.16/0.49 fof(f107,plain,(
% 0.16/0.49 ![A]: (~l1_orders_2(A)|(![B]: (~l1_orders_2(B)|(![C,D]: ((((~v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B)|~m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B))))|~r2_hidden(k4_tarski(C,D),u1_orders_2(k1_latsum_1(A,B))))|~r2_hidden(D,u1_struct_0(A)))|r2_hidden(C,u1_struct_0(A)))))))),
% 0.16/0.49 inference(pre_NNF_transformation,[status(thm)],[f35])).
% 0.16/0.49 fof(f108,plain,(
% 0.16/0.49 ![A]: (~l1_orders_2(A)|(![B]: (~l1_orders_2(B)|(![C]: ((![D]: (((~v12_waybel_0(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),B)|~m1_subset_1(k3_xboole_0(u1_struct_0(A),u1_struct_0(B)),k1_zfmisc_1(u1_struct_0(B))))|~r2_hidden(k4_tarski(C,D),u1_orders_2(k1_latsum_1(A,B))))|~r2_hidden(D,u1_struct_0(A))))|r2_hidden(C,u1_struct_0(A)))))))),
% 0.16/0.49 inference(miniscoping,[status(thm)],[f107])).
% 0.16/0.49 fof(f109,plain,(
% 0.16/0.49 ![X0,X1,X2,X3]: (~l1_orders_2(X0)|~l1_orders_2(X1)|~v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)|~m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))|~r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))|~r2_hidden(X3,u1_struct_0(X0))|r2_hidden(X2,u1_struct_0(X0)))),
% 0.16/0.49 inference(cnf_transformation,[status(thm)],[f108])).
% 0.16/0.49 fof(f141,plain,(
% 0.16/0.49 ![X0,X1,X2,X3]: (~l1_orders_2(X0)|~l1_orders_2(X1)|~v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)|~m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))|~r2_hidden(X2,u1_struct_0(X0))|r2_hidden(X3,u1_struct_0(X0))|~l1_orders_2(k1_latsum_1(X0,X1))|~m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))|~m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))|~r1_orders_2(k1_latsum_1(X0,X1),X3,X2))),
% 0.16/0.49 inference(resolution,[status(thm)],[f109,f65])).
% 0.16/0.49 fof(f142,plain,(
% 0.16/0.49 ![X0,X1,X2,X3]: (~l1_orders_2(X0)|~l1_orders_2(X1)|~v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)|~m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))|~r2_hidden(X2,u1_struct_0(X0))|r2_hidden(X3,u1_struct_0(X0))|~m1_subset_1(X3,u1_struct_0(k1_latsum_1(X0,X1)))|~m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))|~r1_orders_2(k1_latsum_1(X0,X1),X3,X2))),
% 0.16/0.49 inference(forward_subsumption_resolution,[status(thm)],[f141,f72])).
% 0.16/0.49 fof(f165,plain,(
% 0.16/0.49 ![X0,X1]: (~l1_orders_2(sK0_skl)|~l1_orders_2(X0)|~v12_waybel_0(k3_xboole_0(u1_struct_0(sK0_skl),u1_struct_0(X0)),X0)|~m1_subset_1(k3_xboole_0(u1_struct_0(sK0_skl),u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(X0)))|r2_hidden(X1,u1_struct_0(sK0_skl))|~m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0_skl,X0)))|~m1_subset_1(sK3_skl,u1_struct_0(k1_latsum_1(sK0_skl,X0)))|~r1_orders_2(k1_latsum_1(sK0_skl,X0),X1,sK3_skl))),
% 0.16/0.49 inference(resolution,[status(thm)],[f142,f53])).
% 0.16/0.50 fof(f166,plain,(
% 0.16/0.50 ![X0,X1]: (~l1_orders_2(X0)|~v12_waybel_0(k3_xboole_0(u1_struct_0(sK0_skl),u1_struct_0(X0)),X0)|~m1_subset_1(k3_xboole_0(u1_struct_0(sK0_skl),u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(X0)))|r2_hidden(X1,u1_struct_0(sK0_skl))|~m1_subset_1(X1,u1_struct_0(k1_latsum_1(sK0_skl,X0)))|~m1_subset_1(sK3_skl,u1_struct_0(k1_latsum_1(sK0_skl,X0)))|~r1_orders_2(k1_latsum_1(sK0_skl,X0),X1,sK3_skl))),
% 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f165,f46])).
% 0.16/0.50 fof(f176,plain,(
% 0.16/0.50 ![X0]: (~l1_orders_2(sK1_skl)|~v12_waybel_0(k3_xboole_0(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)),sK1_skl)|~m1_subset_1(k3_xboole_0(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)),k1_zfmisc_1(u1_struct_0(sK1_skl)))|r2_hidden(X0,u1_struct_0(sK0_skl))|~m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0_skl,sK1_skl)))|~r1_orders_2(k1_latsum_1(sK0_skl,sK1_skl),X0,sK3_skl))),
% 0.16/0.50 inference(resolution,[status(thm)],[f166,f49])).
% 0.16/0.50 fof(f177,plain,(
% 0.16/0.50 ![X0]: (~v12_waybel_0(k3_xboole_0(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)),sK1_skl)|~m1_subset_1(k3_xboole_0(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)),k1_zfmisc_1(u1_struct_0(sK1_skl)))|r2_hidden(X0,u1_struct_0(sK0_skl))|~m1_subset_1(X0,u1_struct_0(k1_latsum_1(sK0_skl,sK1_skl)))|~r1_orders_2(k1_latsum_1(sK0_skl,sK1_skl),X0,sK3_skl))),
% 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f176,f47])).
% 0.16/0.50 fof(f178,plain,(
% 0.16/0.50 ~v12_waybel_0(k3_xboole_0(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)),sK1_skl)|~m1_subset_1(k3_xboole_0(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)),k1_zfmisc_1(u1_struct_0(sK1_skl)))|r2_hidden(sK2_skl,u1_struct_0(sK0_skl))|~m1_subset_1(sK2_skl,u1_struct_0(k1_latsum_1(sK0_skl,sK1_skl)))),
% 0.16/0.50 inference(resolution,[status(thm)],[f177,f52])).
% 0.16/0.50 fof(f179,plain,(
% 0.16/0.50 ~m1_subset_1(k3_xboole_0(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)),k1_zfmisc_1(u1_struct_0(sK1_skl)))|r2_hidden(sK2_skl,u1_struct_0(sK0_skl))|~m1_subset_1(sK2_skl,u1_struct_0(k1_latsum_1(sK0_skl,sK1_skl)))),
% 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f178,f50])).
% 0.16/0.50 fof(f180,plain,(
% 0.16/0.50 ~m1_subset_1(k3_xboole_0(u1_struct_0(sK0_skl),u1_struct_0(sK1_skl)),k1_zfmisc_1(u1_struct_0(sK1_skl)))|r2_hidden(sK2_skl,u1_struct_0(sK0_skl))),
% 0.16/0.50 inference(resolution,[status(thm)],[f179,f48])).
% 0.16/0.50 fof(f182,plain,(
% 0.16/0.50 r2_hidden(sK2_skl,u1_struct_0(sK0_skl))),
% 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f180,f51])).
% 0.16/0.50 fof(f183,plain,(
% 0.16/0.50 $false),
% 0.16/0.50 inference(backward_subsumption_resolution,[status(thm)],[f54,f182])).
% 0.16/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.53 % Elapsed time: 0.108389 seconds
% 0.16/0.53 % CPU time: 0.272936 seconds
% 0.16/0.53 % Total memory used: 61.142 MB
% 0.16/0.53 % Net memory used: 61.019 MB
%------------------------------------------------------------------------------