TSTP Solution File: SWW190+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW190+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:49:48 EDT 2024
% Result : Theorem 19.90s 2.95s
% Output : CNFRefutation 19.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW190+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:01:49 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.43 % Drodi V3.6.0
% 19.90/2.95 % Refutation found
% 19.90/2.95 % SZS status Theorem for theBenchmark: Theorem is valid
% 19.90/2.95 % SZS output start CNFRefutation for theBenchmark
% 19.90/2.95 fof(f2,axiom,(
% 19.90/2.95 hBOOL(hAPP(v_P,v_x____)) ),
% 19.90/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.95 fof(f3,axiom,(
% 19.90/2.95 (? [B_x1] : hBOOL(hAPP(v_P,B_x1)) )),
% 19.90/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.95 fof(f4,axiom,(
% 19.90/2.95 (? [B_z] :(! [B_x] :( hBOOL(hAPP(v_P,B_x))=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_x,B_z) ) ))),
% 19.90/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.95 fof(f7,axiom,(
% 19.90/2.95 (! [V_x] :( hBOOL(hAPP(v_P,V_x))=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,v_Y____) ) )),
% 19.90/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.95 fof(f9,axiom,(
% 19.90/2.95 (! [V_Pa_2,T_a] : c_Set_OCollect(T_a,V_Pa_2) = V_Pa_2 )),
% 19.90/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.95 fof(f22,axiom,(
% 19.90/2.95 (! [V_A_2,V_xa_2,T_a] :( c_member(T_a,V_xa_2,V_A_2)<=> hBOOL(hAPP(V_A_2,V_xa_2)) ) )),
% 19.90/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.95 fof(f24,axiom,(
% 19.90/2.95 (! [V_y_2,V_xa_2,T_a] :( c_member(T_a,V_xa_2,c_fequal(V_y_2))<=> V_xa_2 = V_y_2 ) )),
% 19.90/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.95 fof(f62,axiom,(
% 19.90/2.95 ~ ( (? [B_x1] : hBOOL(hAPP(v_P,B_x1)))=> (! [B_Y] :~ (! [B_x] :( hBOOL(hAPP(v_P,B_x))=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_x,B_Y) ) ))) ),
% 19.90/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.95 fof(f104,axiom,(
% 19.90/2.95 (! [V_y_2,V_xa_2,T_a] :( class_Orderings_Opreorder(T_a)=> ( c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)<=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)& ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_xa_2) ) ) ) )),
% 19.90/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.95 fof(f125,axiom,(
% 19.90/2.95 (! [V_u_2,V_S_2,T_a] :( class_Orderings_Oord(T_a)=> ( (! [B_y] :( c_member(T_a,B_y,V_S_2)=> c_Orderings_Oord__class_Oless__eq(T_a,B_y,V_u_2) ))=> hBOOL(hAPP(c_Lubs_OisUb(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_u_2)) ) ) )),
% 19.90/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.95 fof(f126,axiom,(
% 19.90/2.95 (! [V_y_2,V_xa_2] :( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2)<=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_y_2)| V_xa_2 = V_y_2 ) ) )),
% 19.90/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.95 fof(f127,axiom,(
% 19.90/2.95 (! [V_y_2,V_xa_2] :( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_y_2)<=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2)& V_xa_2 != V_y_2 ) ) )),
% 19.90/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.95 fof(f155,axiom,(
% 19.90/2.95 (! [V_k,V_j,V_i] :( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j)=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k)=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k) ) ) )),
% 19.90/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.95 fof(f156,axiom,(
% 19.90/2.95 (! [V_w,V_z] :( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w)| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z) ) )),
% 19.90/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.95 fof(f184,axiom,(
% 19.90/2.95 (! [V_Pa_2,T_a] :( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = c_Set_OCollect(T_a,V_Pa_2)<=> (! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) )) )),
% 19.90/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.95 fof(f186,axiom,(
% 19.90/2.95 (! [T_a] : c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) )),
% 19.90/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.95 fof(f532,axiom,(
% 19.90/2.95 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ),
% 19.90/2.95 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.95 fof(f709,axiom,(
% 19.90/2.95 (! [V_y_2,V_xa_2,V_z_2] :( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2) ) ) )),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f710,axiom,(
% 19.90/2.96 (! [V_y_2,V_xa_2,V_z_2] :( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_xa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_y_2))<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2) ) ) )),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f953,axiom,(
% 19.90/2.96 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f999,axiom,(
% 19.90/2.96 (! [T_2,T_1] :( class_Lattices_Olattice(T_1)=> class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) )),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1000,axiom,(
% 19.90/2.96 (! [T_2,T_1] :( class_Lattices_Olattice(T_1)=> class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) )),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1002,axiom,(
% 19.90/2.96 (! [T_2,T_1] :( class_Orderings_Opreorder(T_1)=> class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) )),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1004,axiom,(
% 19.90/2.96 (! [T_2,T_1] :( class_Orderings_Oorder(T_1)=> class_Orderings_Oorder(tc_fun(T_2,T_1)) ) )),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1009,axiom,(
% 19.90/2.96 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1028,axiom,(
% 19.90/2.96 class_Rings_Olinordered__semidom(tc_Int_Oint) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1039,axiom,(
% 19.90/2.96 class_Rings_Olinordered__idom(tc_Int_Oint) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1048,axiom,(
% 19.90/2.96 class_Groups_Omonoid__add(tc_Int_Oint) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1052,axiom,(
% 19.90/2.96 class_Groups_Ogroup__add(tc_Int_Oint) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1065,axiom,(
% 19.90/2.96 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1077,axiom,(
% 19.90/2.96 class_Rings_Olinordered__semidom(tc_Nat_Onat) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1087,axiom,(
% 19.90/2.96 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1093,axiom,(
% 19.90/2.96 class_Groups_Omonoid__add(tc_Nat_Onat) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1094,axiom,(
% 19.90/2.96 class_Rings_Osemiring__1(tc_Nat_Onat) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1113,axiom,(
% 19.90/2.96 class_Orderings_Opreorder(tc_HOL_Obool) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1114,axiom,(
% 19.90/2.96 class_Lattices_Olattice(tc_HOL_Obool) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1115,axiom,(
% 19.90/2.96 class_Orderings_Oorder(tc_HOL_Obool) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1151,axiom,(
% 19.90/2.96 class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1152,axiom,(
% 19.90/2.96 class_Lattices_Osemilattice__sup(tc_RealDef_Oreal) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1153,axiom,(
% 19.90/2.96 class_Lattices_Osemilattice__inf(tc_RealDef_Oreal) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1162,axiom,(
% 19.90/2.96 class_Rings_Olinordered__idom(tc_RealDef_Oreal) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1168,axiom,(
% 19.90/2.96 class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1169,axiom,(
% 19.90/2.96 class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1177,axiom,(
% 19.90/2.96 class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1180,axiom,(
% 19.90/2.96 class_Orderings_Oord(tc_RealDef_Oreal) ),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1189,conjecture,(
% 19.90/2.96 (? [B_x1] : hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),c_Set_OCollect(tc_RealDef_Oreal,v_P)),B_x1)) )),
% 19.90/2.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 19.90/2.96 fof(f1190,negated_conjecture,(
% 19.90/2.96 ~((? [B_x1] : hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),c_Set_OCollect(tc_RealDef_Oreal,v_P)),B_x1)) ))),
% 19.90/2.96 inference(negated_conjecture,[status(cth)],[f1189])).
% 19.90/2.96 fof(f1194,plain,(
% 19.90/2.96 hBOOL(hAPP(v_P,v_x____))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f2])).
% 19.90/2.96 fof(f1195,plain,(
% 19.90/2.96 hBOOL(hAPP(v_P,sk0_1))),
% 19.90/2.96 inference(skolemization,[status(esa)],[f3])).
% 19.90/2.96 fof(f1196,plain,(
% 19.90/2.96 hBOOL(hAPP(v_P,sk0_1))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1195])).
% 19.90/2.96 fof(f1197,plain,(
% 19.90/2.96 ?[B_z]: (![B_x]: (~hBOOL(hAPP(v_P,B_x))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_x,B_z)))),
% 19.90/2.96 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 19.90/2.96 fof(f1198,plain,(
% 19.90/2.96 ![B_x]: (~hBOOL(hAPP(v_P,B_x))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_x,sk0_2))),
% 19.90/2.96 inference(skolemization,[status(esa)],[f1197])).
% 19.90/2.96 fof(f1199,plain,(
% 19.90/2.96 ![X0]: (~hBOOL(hAPP(v_P,X0))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk0_2))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1198])).
% 19.90/2.96 fof(f1204,plain,(
% 19.90/2.96 ![V_x]: (~hBOOL(hAPP(v_P,V_x))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,v_Y____))),
% 19.90/2.96 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 19.90/2.96 fof(f1205,plain,(
% 19.90/2.96 ![X0]: (~hBOOL(hAPP(v_P,X0))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,v_Y____))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1204])).
% 19.90/2.96 fof(f1209,plain,(
% 19.90/2.96 ![X0,X1]: (c_Set_OCollect(X0,X1)=X1)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f9])).
% 19.90/2.96 fof(f1249,plain,(
% 19.90/2.96 ![V_A_2,V_xa_2,T_a]: ((~c_member(T_a,V_xa_2,V_A_2)|hBOOL(hAPP(V_A_2,V_xa_2)))&(c_member(T_a,V_xa_2,V_A_2)|~hBOOL(hAPP(V_A_2,V_xa_2))))),
% 19.90/2.96 inference(NNF_transformation,[status(esa)],[f22])).
% 19.90/2.96 fof(f1250,plain,(
% 19.90/2.96 (![V_A_2,V_xa_2]: ((![T_a]: ~c_member(T_a,V_xa_2,V_A_2))|hBOOL(hAPP(V_A_2,V_xa_2))))&(![V_A_2,V_xa_2]: ((![T_a]: c_member(T_a,V_xa_2,V_A_2))|~hBOOL(hAPP(V_A_2,V_xa_2))))),
% 19.90/2.96 inference(miniscoping,[status(esa)],[f1249])).
% 19.90/2.96 fof(f1251,plain,(
% 19.90/2.96 ![X0,X1,X2]: (~c_member(X0,X1,X2)|hBOOL(hAPP(X2,X1)))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1250])).
% 19.90/2.96 fof(f1252,plain,(
% 19.90/2.96 ![X0,X1,X2]: (c_member(X0,X1,X2)|~hBOOL(hAPP(X2,X1)))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1250])).
% 19.90/2.96 fof(f1256,plain,(
% 19.90/2.96 ![V_y_2,V_xa_2,T_a]: ((~c_member(T_a,V_xa_2,c_fequal(V_y_2))|V_xa_2=V_y_2)&(c_member(T_a,V_xa_2,c_fequal(V_y_2))|~V_xa_2=V_y_2))),
% 19.90/2.96 inference(NNF_transformation,[status(esa)],[f24])).
% 19.90/2.96 fof(f1257,plain,(
% 19.90/2.96 (![V_y_2,V_xa_2]: ((![T_a]: ~c_member(T_a,V_xa_2,c_fequal(V_y_2)))|V_xa_2=V_y_2))&(![V_y_2,V_xa_2]: ((![T_a]: c_member(T_a,V_xa_2,c_fequal(V_y_2)))|~V_xa_2=V_y_2))),
% 19.90/2.96 inference(miniscoping,[status(esa)],[f1256])).
% 19.90/2.96 fof(f1259,plain,(
% 19.90/2.96 ![X0,X1,X2]: (c_member(X0,X1,c_fequal(X2))|~X1=X2)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1257])).
% 19.90/2.96 fof(f1385,plain,(
% 19.90/2.96 ((?[B_x1]: hBOOL(hAPP(v_P,B_x1)))&(?[B_Y]: ![B_x]: (~hBOOL(hAPP(v_P,B_x))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_x,B_Y))))),
% 19.90/2.96 inference(pre_NNF_transformation,[status(esa)],[f62])).
% 19.90/2.96 fof(f1386,plain,(
% 19.90/2.96 hBOOL(hAPP(v_P,sk0_7))&![B_x]: (~hBOOL(hAPP(v_P,B_x))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_x,sk0_8))),
% 19.90/2.96 inference(skolemization,[status(esa)],[f1385])).
% 19.90/2.96 fof(f1387,plain,(
% 19.90/2.96 hBOOL(hAPP(v_P,sk0_7))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1386])).
% 19.90/2.96 fof(f1388,plain,(
% 19.90/2.96 ![X0]: (~hBOOL(hAPP(v_P,X0))|c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,sk0_8))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1386])).
% 19.90/2.96 fof(f1524,plain,(
% 19.90/2.96 ![V_y_2,V_xa_2,T_a]: (~class_Orderings_Opreorder(T_a)|(c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)<=>(c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)&~c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_xa_2))))),
% 19.90/2.96 inference(pre_NNF_transformation,[status(esa)],[f104])).
% 19.90/2.96 fof(f1525,plain,(
% 19.90/2.96 ![V_y_2,V_xa_2,T_a]: (~class_Orderings_Opreorder(T_a)|((~c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)|(c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)&~c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_xa_2)))&(c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)|(~c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)|c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_xa_2)))))),
% 19.90/2.96 inference(NNF_transformation,[status(esa)],[f1524])).
% 19.90/2.96 fof(f1526,plain,(
% 19.90/2.96 ![T_a]: (~class_Orderings_Opreorder(T_a)|((![V_y_2,V_xa_2]: (~c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)|(c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)&~c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_xa_2))))&(![V_y_2,V_xa_2]: (c_Orderings_Oord__class_Oless(T_a,V_xa_2,V_y_2)|(~c_Orderings_Oord__class_Oless__eq(T_a,V_xa_2,V_y_2)|c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_xa_2))))))),
% 19.90/2.96 inference(miniscoping,[status(esa)],[f1525])).
% 19.90/2.96 fof(f1528,plain,(
% 19.90/2.96 ![X0,X1,X2]: (~class_Orderings_Opreorder(X0)|~c_Orderings_Oord__class_Oless(X0,X1,X2)|~c_Orderings_Oord__class_Oless__eq(X0,X2,X1))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1526])).
% 19.90/2.96 fof(f1610,plain,(
% 19.90/2.96 ![V_u_2,V_S_2,T_a]: (~class_Orderings_Oord(T_a)|((?[B_y]: (c_member(T_a,B_y,V_S_2)&~c_Orderings_Oord__class_Oless__eq(T_a,B_y,V_u_2)))|hBOOL(hAPP(c_Lubs_OisUb(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_u_2))))),
% 19.90/2.96 inference(pre_NNF_transformation,[status(esa)],[f125])).
% 19.90/2.96 fof(f1611,plain,(
% 19.90/2.96 ![T_a]: (~class_Orderings_Oord(T_a)|(![V_u_2,V_S_2]: ((?[B_y]: (c_member(T_a,B_y,V_S_2)&~c_Orderings_Oord__class_Oless__eq(T_a,B_y,V_u_2)))|hBOOL(hAPP(c_Lubs_OisUb(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_u_2)))))),
% 19.90/2.96 inference(miniscoping,[status(esa)],[f1610])).
% 19.90/2.96 fof(f1612,plain,(
% 19.90/2.96 ![T_a]: (~class_Orderings_Oord(T_a)|(![V_u_2,V_S_2]: ((c_member(T_a,sk0_16(V_S_2,V_u_2,T_a),V_S_2)&~c_Orderings_Oord__class_Oless__eq(T_a,sk0_16(V_S_2,V_u_2,T_a),V_u_2))|hBOOL(hAPP(c_Lubs_OisUb(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_u_2)))))),
% 19.90/2.96 inference(skolemization,[status(esa)],[f1611])).
% 19.90/2.96 fof(f1613,plain,(
% 19.90/2.96 ![X0,X1,X2]: (~class_Orderings_Oord(X0)|c_member(X0,sk0_16(X1,X2,X0),X1)|hBOOL(hAPP(c_Lubs_OisUb(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)),X1),X2)))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1612])).
% 19.90/2.96 fof(f1614,plain,(
% 19.90/2.96 ![X0,X1,X2]: (~class_Orderings_Oord(X0)|~c_Orderings_Oord__class_Oless__eq(X0,sk0_16(X1,X2,X0),X2)|hBOOL(hAPP(c_Lubs_OisUb(X0,c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool)),X1),X2)))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1612])).
% 19.90/2.96 fof(f1615,plain,(
% 19.90/2.96 ![V_y_2,V_xa_2]: ((~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2)|(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_y_2)|V_xa_2=V_y_2))&(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2)|(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_y_2)&~V_xa_2=V_y_2)))),
% 19.90/2.96 inference(NNF_transformation,[status(esa)],[f126])).
% 19.90/2.96 fof(f1616,plain,(
% 19.90/2.96 (![V_y_2,V_xa_2]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2)|(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_y_2)|V_xa_2=V_y_2)))&(![V_y_2,V_xa_2]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2)|(~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_y_2)&~V_xa_2=V_y_2)))),
% 19.90/2.96 inference(miniscoping,[status(esa)],[f1615])).
% 19.90/2.96 fof(f1618,plain,(
% 19.90/2.96 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1616])).
% 19.90/2.96 fof(f1620,plain,(
% 19.90/2.96 ![V_y_2,V_xa_2]: ((~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_y_2)|(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2)&~V_xa_2=V_y_2))&(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_y_2)|(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2)|V_xa_2=V_y_2)))),
% 19.90/2.96 inference(NNF_transformation,[status(esa)],[f127])).
% 19.90/2.96 fof(f1621,plain,(
% 19.90/2.96 (![V_y_2,V_xa_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_y_2)|(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2)&~V_xa_2=V_y_2)))&(![V_y_2,V_xa_2]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_xa_2,V_y_2)|(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2)|V_xa_2=V_y_2)))),
% 19.90/2.96 inference(miniscoping,[status(esa)],[f1620])).
% 19.90/2.96 fof(f1623,plain,(
% 19.90/2.96 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)|~X0=X1)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1621])).
% 19.90/2.96 fof(f1711,plain,(
% 19.90/2.96 ![V_k,V_j,V_i]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j)|(~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k)))),
% 19.90/2.96 inference(pre_NNF_transformation,[status(esa)],[f155])).
% 19.90/2.96 fof(f1712,plain,(
% 19.90/2.96 ![V_j,V_i]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j)|(![V_k]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k))))),
% 19.90/2.96 inference(miniscoping,[status(esa)],[f1711])).
% 19.90/2.96 fof(f1713,plain,(
% 19.90/2.96 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1712])).
% 19.90/2.96 fof(f1714,plain,(
% 19.90/2.96 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f156])).
% 19.90/2.96 fof(f1800,plain,(
% 19.90/2.96 ![V_Pa_2,T_a]: ((~c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))=c_Set_OCollect(T_a,V_Pa_2)|(![B_x]: ~hBOOL(hAPP(V_Pa_2,B_x))))&(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))=c_Set_OCollect(T_a,V_Pa_2)|(?[B_x]: hBOOL(hAPP(V_Pa_2,B_x)))))),
% 19.90/2.96 inference(NNF_transformation,[status(esa)],[f184])).
% 19.90/2.96 fof(f1801,plain,(
% 19.90/2.96 (![V_Pa_2]: ((![T_a]: ~c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))=c_Set_OCollect(T_a,V_Pa_2))|(![B_x]: ~hBOOL(hAPP(V_Pa_2,B_x)))))&(![V_Pa_2]: ((![T_a]: c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))=c_Set_OCollect(T_a,V_Pa_2))|(?[B_x]: hBOOL(hAPP(V_Pa_2,B_x)))))),
% 19.90/2.96 inference(miniscoping,[status(esa)],[f1800])).
% 19.90/2.96 fof(f1802,plain,(
% 19.90/2.96 (![V_Pa_2]: ((![T_a]: ~c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))=c_Set_OCollect(T_a,V_Pa_2))|(![B_x]: ~hBOOL(hAPP(V_Pa_2,B_x)))))&(![V_Pa_2]: ((![T_a]: c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))=c_Set_OCollect(T_a,V_Pa_2))|hBOOL(hAPP(V_Pa_2,sk0_31(V_Pa_2)))))),
% 19.90/2.96 inference(skolemization,[status(esa)],[f1801])).
% 19.90/2.96 fof(f1803,plain,(
% 19.90/2.96 ![X0,X1,X2]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))=c_Set_OCollect(X0,X1)|~hBOOL(hAPP(X1,X2)))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1802])).
% 19.90/2.96 fof(f1810,plain,(
% 19.90/2.96 ![X0]: (~c_Orderings_Otop__class_Otop(tc_fun(X0,tc_HOL_Obool))=c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f186])).
% 19.90/2.96 fof(f2766,plain,(
% 19.90/2.96 ~c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f532])).
% 19.90/2.96 fof(f3348,plain,(
% 19.90/2.96 ![V_y_2,V_xa_2,V_z_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)|(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))<=>c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2)))),
% 19.90/2.96 inference(pre_NNF_transformation,[status(esa)],[f709])).
% 19.90/2.96 fof(f3349,plain,(
% 19.90/2.96 ![V_y_2,V_xa_2,V_z_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)|((~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2))&(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2))))),
% 19.90/2.96 inference(NNF_transformation,[status(esa)],[f3348])).
% 19.90/2.96 fof(f3350,plain,(
% 19.90/2.96 ![V_z_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)|((![V_y_2,V_xa_2]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2)))&(![V_y_2,V_xa_2]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_xa_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2)))))),
% 19.90/2.96 inference(miniscoping,[status(esa)],[f3349])).
% 19.90/2.96 fof(f3351,plain,(
% 19.90/2.96 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f3350])).
% 19.90/2.96 fof(f3353,plain,(
% 19.90/2.96 ![V_y_2,V_xa_2,V_z_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)|(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_xa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_y_2))<=>c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2)))),
% 19.90/2.96 inference(pre_NNF_transformation,[status(esa)],[f710])).
% 19.90/2.96 fof(f3354,plain,(
% 19.90/2.96 ![V_y_2,V_xa_2,V_z_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)|((~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_xa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_y_2))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2))&(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_xa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_y_2))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2))))),
% 19.90/2.96 inference(NNF_transformation,[status(esa)],[f3353])).
% 19.90/2.96 fof(f3355,plain,(
% 19.90/2.96 ![V_z_2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2)|((![V_y_2,V_xa_2]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_xa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_y_2))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2)))&(![V_y_2,V_xa_2]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_xa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_y_2))|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_xa_2,V_y_2)))))),
% 19.90/2.96 inference(miniscoping,[status(esa)],[f3354])).
% 19.90/2.96 fof(f3356,plain,(
% 19.90/2.96 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X2))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f3355])).
% 19.90/2.96 fof(f4112,plain,(
% 19.90/2.96 ~c_Groups_Ozero__class_Ozero(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f953])).
% 19.90/2.96 fof(f4232,plain,(
% 19.90/2.96 ![T_2,T_1]: (~class_Lattices_Olattice(T_1)|class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)))),
% 19.90/2.96 inference(pre_NNF_transformation,[status(esa)],[f999])).
% 19.90/2.96 fof(f4233,plain,(
% 19.90/2.96 ![T_1]: (~class_Lattices_Olattice(T_1)|(![T_2]: class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1))))),
% 19.90/2.96 inference(miniscoping,[status(esa)],[f4232])).
% 19.90/2.96 fof(f4234,plain,(
% 19.90/2.96 ![X0,X1]: (~class_Lattices_Olattice(X0)|class_Lattices_Osemilattice__sup(tc_fun(X1,X0)))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f4233])).
% 19.90/2.96 fof(f4235,plain,(
% 19.90/2.96 ![T_2,T_1]: (~class_Lattices_Olattice(T_1)|class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)))),
% 19.90/2.96 inference(pre_NNF_transformation,[status(esa)],[f1000])).
% 19.90/2.96 fof(f4236,plain,(
% 19.90/2.96 ![T_1]: (~class_Lattices_Olattice(T_1)|(![T_2]: class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1))))),
% 19.90/2.96 inference(miniscoping,[status(esa)],[f4235])).
% 19.90/2.96 fof(f4237,plain,(
% 19.90/2.96 ![X0,X1]: (~class_Lattices_Olattice(X0)|class_Lattices_Osemilattice__inf(tc_fun(X1,X0)))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f4236])).
% 19.90/2.96 fof(f4241,plain,(
% 19.90/2.96 ![T_2,T_1]: (~class_Orderings_Opreorder(T_1)|class_Orderings_Opreorder(tc_fun(T_2,T_1)))),
% 19.90/2.96 inference(pre_NNF_transformation,[status(esa)],[f1002])).
% 19.90/2.96 fof(f4242,plain,(
% 19.90/2.96 ![T_1]: (~class_Orderings_Opreorder(T_1)|(![T_2]: class_Orderings_Opreorder(tc_fun(T_2,T_1))))),
% 19.90/2.96 inference(miniscoping,[status(esa)],[f4241])).
% 19.90/2.96 fof(f4243,plain,(
% 19.90/2.96 ![X0,X1]: (~class_Orderings_Opreorder(X0)|class_Orderings_Opreorder(tc_fun(X1,X0)))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f4242])).
% 19.90/2.96 fof(f4247,plain,(
% 19.90/2.96 ![T_2,T_1]: (~class_Orderings_Oorder(T_1)|class_Orderings_Oorder(tc_fun(T_2,T_1)))),
% 19.90/2.96 inference(pre_NNF_transformation,[status(esa)],[f1004])).
% 19.90/2.96 fof(f4248,plain,(
% 19.90/2.96 ![T_1]: (~class_Orderings_Oorder(T_1)|(![T_2]: class_Orderings_Oorder(tc_fun(T_2,T_1))))),
% 19.90/2.96 inference(miniscoping,[status(esa)],[f4247])).
% 19.90/2.96 fof(f4249,plain,(
% 19.90/2.96 ![X0,X1]: (~class_Orderings_Oorder(X0)|class_Orderings_Oorder(tc_fun(X1,X0)))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f4248])).
% 19.90/2.96 fof(f4262,plain,(
% 19.90/2.96 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1009])).
% 19.90/2.96 fof(f4281,plain,(
% 19.90/2.96 class_Rings_Olinordered__semidom(tc_Int_Oint)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1028])).
% 19.90/2.96 fof(f4292,plain,(
% 19.90/2.96 class_Rings_Olinordered__idom(tc_Int_Oint)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1039])).
% 19.90/2.96 fof(f4301,plain,(
% 19.90/2.96 class_Groups_Omonoid__add(tc_Int_Oint)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1048])).
% 19.90/2.96 fof(f4305,plain,(
% 19.90/2.96 class_Groups_Ogroup__add(tc_Int_Oint)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1052])).
% 19.90/2.96 fof(f4318,plain,(
% 19.90/2.96 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1065])).
% 19.90/2.96 fof(f4330,plain,(
% 19.90/2.96 class_Rings_Olinordered__semidom(tc_Nat_Onat)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1077])).
% 19.90/2.96 fof(f4340,plain,(
% 19.90/2.96 class_Rings_Ocomm__semiring__1(tc_Nat_Onat)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1087])).
% 19.90/2.96 fof(f4346,plain,(
% 19.90/2.96 class_Groups_Omonoid__add(tc_Nat_Onat)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1093])).
% 19.90/2.96 fof(f4347,plain,(
% 19.90/2.96 class_Rings_Osemiring__1(tc_Nat_Onat)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1094])).
% 19.90/2.96 fof(f4366,plain,(
% 19.90/2.96 class_Orderings_Opreorder(tc_HOL_Obool)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1113])).
% 19.90/2.96 fof(f4367,plain,(
% 19.90/2.96 class_Lattices_Olattice(tc_HOL_Obool)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1114])).
% 19.90/2.96 fof(f4368,plain,(
% 19.90/2.96 class_Orderings_Oorder(tc_HOL_Obool)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1115])).
% 19.90/2.96 fof(f4404,plain,(
% 19.90/2.96 class_Rings_Olinordered__semidom(tc_RealDef_Oreal)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1151])).
% 19.90/2.96 fof(f4405,plain,(
% 19.90/2.96 class_Lattices_Osemilattice__sup(tc_RealDef_Oreal)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1152])).
% 19.90/2.96 fof(f4406,plain,(
% 19.90/2.96 class_Lattices_Osemilattice__inf(tc_RealDef_Oreal)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1153])).
% 19.90/2.96 fof(f4415,plain,(
% 19.90/2.96 class_Rings_Olinordered__idom(tc_RealDef_Oreal)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1162])).
% 19.90/2.96 fof(f4421,plain,(
% 19.90/2.96 class_Orderings_Opreorder(tc_RealDef_Oreal)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1168])).
% 19.90/2.96 fof(f4422,plain,(
% 19.90/2.96 class_Orderings_Olinorder(tc_RealDef_Oreal)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1169])).
% 19.90/2.96 fof(f4430,plain,(
% 19.90/2.96 class_Orderings_Oorder(tc_RealDef_Oreal)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1177])).
% 19.90/2.96 fof(f4433,plain,(
% 19.90/2.96 class_Orderings_Oord(tc_RealDef_Oreal)),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f1180])).
% 19.90/2.96 fof(f4442,plain,(
% 19.90/2.96 (![B_x1]: ~hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),c_Set_OCollect(tc_RealDef_Oreal,v_P)),B_x1)))),
% 19.90/2.96 inference(pre_NNF_transformation,[status(esa)],[f1190])).
% 19.90/2.96 fof(f4443,plain,(
% 19.90/2.96 ![X0]: (~hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),c_Set_OCollect(tc_RealDef_Oreal,v_P)),X0)))),
% 19.90/2.96 inference(cnf_transformation,[status(esa)],[f4442])).
% 19.90/2.96 fof(f4480,plain,(
% 19.90/2.96 ![X0,X1]: (c_member(X0,X1,c_fequal(X1)))),
% 19.90/2.96 inference(destructive_equality_resolution,[status(esa)],[f1259])).
% 19.90/2.96 fof(f4492,plain,(
% 19.90/2.96 ![X0]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X0))),
% 19.90/2.96 inference(destructive_equality_resolution,[status(esa)],[f1623])).
% 19.90/2.96 fof(f4582,plain,(
% 19.90/2.96 ![X0]: (~hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),v_P),X0)))),
% 19.90/2.96 inference(backward_demodulation,[status(thm)],[f1209,f4443])).
% 19.90/2.96 fof(f4583,plain,(
% 19.90/2.96 ![X0,X1,X2]: (~c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))=X1|~hBOOL(hAPP(X1,X2)))),
% 19.90/2.96 inference(forward_demodulation,[status(thm)],[f1209,f1803])).
% 19.90/2.96 fof(f4584,plain,(
% 19.90/2.96 ![X0,X1]: (~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool)),X1)))),
% 19.90/2.96 inference(destructive_equality_resolution,[status(esa)],[f4583])).
% 19.90/2.96 fof(f4605,plain,(
% 19.90/2.96 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1))),
% 19.90/2.96 inference(resolution,[status(thm)],[f1713,f1714])).
% 19.90/2.96 fof(f4607,plain,(
% 19.90/2.96 ![X0,X1,X2]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0))),
% 19.90/2.96 inference(resolution,[status(thm)],[f4605,f1714])).
% 19.90/2.96 fof(f4610,plain,(
% 19.90/2.96 ![X0,X1,X2,X3]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2))),
% 19.90/2.96 inference(resolution,[status(thm)],[f4607,f4605])).
% 19.90/2.96 fof(f4928,plain,(
% 19.90/2.96 ![X0,X1,X2]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)))),
% 19.90/2.96 inference(resolution,[status(thm)],[f3351,f1714])).
% 19.90/2.96 fof(f4976,plain,(
% 19.90/2.96 ![X0]: (c_member(X0,sk0_1,v_P))),
% 19.90/2.96 inference(resolution,[status(thm)],[f1196,f1252])).
% 19.90/2.96 fof(f4978,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x____,sk0_2)),
% 19.90/2.96 inference(resolution,[status(thm)],[f1199,f1194])).
% 19.90/2.96 fof(f4980,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x____,v_Y____)),
% 19.90/2.96 inference(resolution,[status(thm)],[f1205,f1194])).
% 19.90/2.96 fof(f4985,plain,(
% 19.90/2.96 spl0_32 <=> class_Orderings_Oord(tc_RealDef_Oreal)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f4987,plain,(
% 19.90/2.96 ~class_Orderings_Oord(tc_RealDef_Oreal)|spl0_32),
% 19.90/2.96 inference(component_clause,[status(thm)],[f4985])).
% 19.90/2.96 fof(f5002,plain,(
% 19.90/2.96 $false|spl0_32),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f4987,f4433])).
% 19.90/2.96 fof(f5003,plain,(
% 19.90/2.96 spl0_32),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f5002])).
% 19.90/2.96 fof(f5014,plain,(
% 19.90/2.96 spl0_35 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f5525,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x____,sk0_8)),
% 19.90/2.96 inference(resolution,[status(thm)],[f1388,f1194])).
% 19.90/2.96 fof(f5552,plain,(
% 19.90/2.96 spl0_63 <=> sk0_1=sk0_8),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f5553,plain,(
% 19.90/2.96 sk0_1=sk0_8|~spl0_63),
% 19.90/2.96 inference(component_clause,[status(thm)],[f5552])).
% 19.90/2.96 fof(f5726,plain,(
% 19.90/2.96 spl0_72 <=> class_Orderings_Opreorder(tc_RealDef_Oreal)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f5728,plain,(
% 19.90/2.96 ~class_Orderings_Opreorder(tc_RealDef_Oreal)|spl0_72),
% 19.90/2.96 inference(component_clause,[status(thm)],[f5726])).
% 19.90/2.96 fof(f5746,plain,(
% 19.90/2.96 spl0_76 <=> class_Orderings_Olinorder(tc_RealDef_Oreal)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f5748,plain,(
% 19.90/2.96 ~class_Orderings_Olinorder(tc_RealDef_Oreal)|spl0_76),
% 19.90/2.96 inference(component_clause,[status(thm)],[f5746])).
% 19.90/2.96 fof(f6028,plain,(
% 19.90/2.96 spl0_99 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_1,v_Y____)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f6186,plain,(
% 19.90/2.96 hBOOL(hAPP(v_P,sk0_1))),
% 19.90/2.96 inference(resolution,[status(thm)],[f4976,f1251])).
% 19.90/2.96 fof(f6324,plain,(
% 19.90/2.96 spl0_102 <=> X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f6325,plain,(
% 19.90/2.96 ![X0]: (X0=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~spl0_102)),
% 19.90/2.96 inference(component_clause,[status(thm)],[f6324])).
% 19.90/2.96 fof(f6432,plain,(
% 19.90/2.96 ![X0]: (hBOOL(hAPP(c_fequal(X0),X0)))),
% 19.90/2.96 inference(resolution,[status(thm)],[f4480,f1251])).
% 19.90/2.96 fof(f6475,plain,(
% 19.90/2.96 spl0_120 <=> class_Orderings_Oorder(tc_RealDef_Oreal)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f6477,plain,(
% 19.90/2.96 ~class_Orderings_Oorder(tc_RealDef_Oreal)|spl0_120),
% 19.90/2.96 inference(component_clause,[status(thm)],[f6475])).
% 19.90/2.96 fof(f6567,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_1,v_Y____)),
% 19.90/2.96 inference(resolution,[status(thm)],[f6186,f1205])).
% 19.90/2.96 fof(f6659,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_1,sk0_8)),
% 19.90/2.96 inference(resolution,[status(thm)],[f6186,f1388])).
% 19.90/2.96 fof(f7900,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_1,v_Y____)),
% 19.90/2.96 inference(resolution,[status(thm)],[f6567,f1618])).
% 19.90/2.96 fof(f7906,plain,(
% 19.90/2.96 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_1,X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,v_Y____))),
% 19.90/2.96 inference(resolution,[status(thm)],[f7900,f4605])).
% 19.90/2.96 fof(f7907,plain,(
% 19.90/2.96 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,sk0_1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,v_Y____))),
% 19.90/2.96 inference(resolution,[status(thm)],[f7900,f1713])).
% 19.90/2.96 fof(f8082,plain,(
% 19.90/2.96 $false|spl0_72),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f4421,f5728])).
% 19.90/2.96 fof(f8083,plain,(
% 19.90/2.96 spl0_72),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f8082])).
% 19.90/2.96 fof(f8097,plain,(
% 19.90/2.96 $false|spl0_76),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f4422,f5748])).
% 19.90/2.96 fof(f8098,plain,(
% 19.90/2.96 spl0_76),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f8097])).
% 19.90/2.96 fof(f8099,plain,(
% 19.90/2.96 $false|spl0_120),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f4430,f6477])).
% 19.90/2.96 fof(f8100,plain,(
% 19.90/2.96 spl0_120),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f8099])).
% 19.90/2.96 fof(f8102,plain,(
% 19.90/2.96 ![X0,X1]: (X0=X1|~spl0_102)),
% 19.90/2.96 inference(paramodulation,[status(thm)],[f6325,f6325])).
% 19.90/2.96 fof(f8103,plain,(
% 19.90/2.96 $false|~spl0_102),
% 19.90/2.96 inference(backward_subsumption_resolution,[status(thm)],[f1810,f8102])).
% 19.90/2.96 fof(f8104,plain,(
% 19.90/2.96 ~spl0_102),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f8103])).
% 19.90/2.96 fof(f8158,plain,(
% 19.90/2.96 spl0_190 <=> class_Rings_Olinordered__idom(tc_RealDef_Oreal)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f8160,plain,(
% 19.90/2.96 ~class_Rings_Olinordered__idom(tc_RealDef_Oreal)|spl0_190),
% 19.90/2.96 inference(component_clause,[status(thm)],[f8158])).
% 19.90/2.96 fof(f8169,plain,(
% 19.90/2.96 $false|spl0_190),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f8160,f4415])).
% 19.90/2.96 fof(f8170,plain,(
% 19.90/2.96 spl0_190),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f8169])).
% 19.90/2.96 fof(f8171,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_7,sk0_8)),
% 19.90/2.96 inference(resolution,[status(thm)],[f1387,f1388])).
% 19.90/2.96 fof(f8172,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_7,sk0_2)),
% 19.90/2.96 inference(resolution,[status(thm)],[f1387,f1199])).
% 19.90/2.96 fof(f8174,plain,(
% 19.90/2.96 ![X0]: (c_member(X0,sk0_7,v_P))),
% 19.90/2.96 inference(resolution,[status(thm)],[f1387,f1252])).
% 19.90/2.96 fof(f8864,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_7,sk0_8)),
% 19.90/2.96 inference(resolution,[status(thm)],[f8171,f1618])).
% 19.90/2.96 fof(f8884,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_7,sk0_2)),
% 19.90/2.96 inference(resolution,[status(thm)],[f8172,f1618])).
% 19.90/2.96 fof(f8907,plain,(
% 19.90/2.96 spl0_209 <=> sk0_8=sk0_7),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f8908,plain,(
% 19.90/2.96 sk0_8=sk0_7|~spl0_209),
% 19.90/2.96 inference(component_clause,[status(thm)],[f8907])).
% 19.90/2.96 fof(f8918,plain,(
% 19.90/2.96 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_7,X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,sk0_8))),
% 19.90/2.96 inference(resolution,[status(thm)],[f8864,f4605])).
% 19.90/2.96 fof(f8919,plain,(
% 19.90/2.96 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,sk0_7)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,sk0_8))),
% 19.90/2.96 inference(resolution,[status(thm)],[f8864,f1713])).
% 19.90/2.96 fof(f8921,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_7,sk0_7)|~spl0_209),
% 19.90/2.96 inference(backward_demodulation,[status(thm)],[f8908,f8171])).
% 19.90/2.96 fof(f8922,plain,(
% 19.90/2.96 $false|~spl0_209),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f8921,f4492])).
% 19.90/2.96 fof(f8923,plain,(
% 19.90/2.96 ~spl0_209),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f8922])).
% 19.90/2.96 fof(f8927,plain,(
% 19.90/2.96 spl0_212 <=> sk0_2=sk0_7),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f8928,plain,(
% 19.90/2.96 sk0_2=sk0_7|~spl0_212),
% 19.90/2.96 inference(component_clause,[status(thm)],[f8927])).
% 19.90/2.96 fof(f8938,plain,(
% 19.90/2.96 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_7,X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,sk0_2))),
% 19.90/2.96 inference(resolution,[status(thm)],[f8884,f4605])).
% 19.90/2.96 fof(f8939,plain,(
% 19.90/2.96 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,sk0_7)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,sk0_2))),
% 19.90/2.96 inference(resolution,[status(thm)],[f8884,f1713])).
% 19.90/2.96 fof(f8941,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_2,sk0_2)|~spl0_212),
% 19.90/2.96 inference(backward_demodulation,[status(thm)],[f8928,f8172])).
% 19.90/2.96 fof(f8942,plain,(
% 19.90/2.96 $false|~spl0_212),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f8941,f4492])).
% 19.90/2.96 fof(f8943,plain,(
% 19.90/2.96 ~spl0_212),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f8942])).
% 19.90/2.96 fof(f8944,plain,(
% 19.90/2.96 hBOOL(hAPP(v_P,sk0_7))),
% 19.90/2.96 inference(resolution,[status(thm)],[f8174,f1251])).
% 19.90/2.96 fof(f9052,plain,(
% 19.90/2.96 spl0_220 <=> class_Rings_Olinordered__idom(tc_Int_Oint)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f9054,plain,(
% 19.90/2.96 ~class_Rings_Olinordered__idom(tc_Int_Oint)|spl0_220),
% 19.90/2.96 inference(component_clause,[status(thm)],[f9052])).
% 19.90/2.96 fof(f9057,plain,(
% 19.90/2.96 $false|spl0_220),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f9054,f4292])).
% 19.90/2.96 fof(f9058,plain,(
% 19.90/2.96 spl0_220),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f9057])).
% 19.90/2.96 fof(f9088,plain,(
% 19.90/2.96 spl0_224 <=> ~class_Orderings_Opreorder(tc_fun(X0,tc_HOL_Obool))),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f9089,plain,(
% 19.90/2.96 ![X0]: (~class_Orderings_Opreorder(tc_fun(X0,tc_HOL_Obool))|~spl0_224)),
% 19.90/2.96 inference(component_clause,[status(thm)],[f9088])).
% 19.90/2.96 fof(f9117,plain,(
% 19.90/2.96 spl0_226 <=> ~class_Orderings_Oorder(tc_fun(X0,tc_HOL_Obool))),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f9118,plain,(
% 19.90/2.96 ![X0]: (~class_Orderings_Oorder(tc_fun(X0,tc_HOL_Obool))|~spl0_226)),
% 19.90/2.96 inference(component_clause,[status(thm)],[f9117])).
% 19.90/2.96 fof(f9128,plain,(
% 19.90/2.96 spl0_227 <=> X1=c_Orderings_Obot__class_Obot(tc_Nat_Onat)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f9129,plain,(
% 19.90/2.96 ![X0]: (X0=c_Orderings_Obot__class_Obot(tc_Nat_Onat)|~spl0_227)),
% 19.90/2.96 inference(component_clause,[status(thm)],[f9128])).
% 19.90/2.96 fof(f9153,plain,(
% 19.90/2.96 ![X0,X1]: (X0=X1|~spl0_227)),
% 19.90/2.96 inference(paramodulation,[status(thm)],[f9129,f9129])).
% 19.90/2.96 fof(f9154,plain,(
% 19.90/2.96 $false|~spl0_227),
% 19.90/2.96 inference(backward_subsumption_resolution,[status(thm)],[f2766,f9153])).
% 19.90/2.96 fof(f9155,plain,(
% 19.90/2.96 ~spl0_227),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f9154])).
% 19.90/2.96 fof(f9541,plain,(
% 19.90/2.96 spl0_274 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_7,sk0_8)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f9569,plain,(
% 19.90/2.96 spl0_275 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_7,sk0_2)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f9585,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_7,v_Y____)),
% 19.90/2.96 inference(resolution,[status(thm)],[f8944,f1205])).
% 19.90/2.96 fof(f9596,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_1,sk0_1)|~spl0_63),
% 19.90/2.96 inference(backward_demodulation,[status(thm)],[f5553,f6659])).
% 19.90/2.96 fof(f9597,plain,(
% 19.90/2.96 $false|~spl0_63),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f9596,f4492])).
% 19.90/2.96 fof(f9598,plain,(
% 19.90/2.96 ~spl0_63),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f9597])).
% 19.90/2.96 fof(f9671,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_7,v_Y____)),
% 19.90/2.96 inference(resolution,[status(thm)],[f9585,f1618])).
% 19.90/2.96 fof(f9808,plain,(
% 19.90/2.96 spl0_282 <=> sk0_7=v_Y____),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f9809,plain,(
% 19.90/2.96 sk0_7=v_Y____|~spl0_282),
% 19.90/2.96 inference(component_clause,[status(thm)],[f9808])).
% 19.90/2.96 fof(f9819,plain,(
% 19.90/2.96 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_7,X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,v_Y____))),
% 19.90/2.96 inference(resolution,[status(thm)],[f9671,f4605])).
% 19.90/2.96 fof(f9820,plain,(
% 19.90/2.96 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,sk0_7)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,v_Y____))),
% 19.90/2.96 inference(resolution,[status(thm)],[f9671,f1713])).
% 19.90/2.96 fof(f9830,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_Y____,v_Y____)|~spl0_282),
% 19.90/2.96 inference(backward_demodulation,[status(thm)],[f9809,f9585])).
% 19.90/2.96 fof(f9831,plain,(
% 19.90/2.96 $false|~spl0_282),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f9830,f4492])).
% 19.90/2.96 fof(f9832,plain,(
% 19.90/2.96 ~spl0_282),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f9831])).
% 19.90/2.96 fof(f9857,plain,(
% 19.90/2.96 spl0_285 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_7,v_Y____)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f10074,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_x____,sk0_2)),
% 19.90/2.96 inference(resolution,[status(thm)],[f4978,f1618])).
% 19.90/2.96 fof(f10137,plain,(
% 19.90/2.96 spl0_299 <=> v_x____=sk0_2),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f10138,plain,(
% 19.90/2.96 v_x____=sk0_2|~spl0_299),
% 19.90/2.96 inference(component_clause,[status(thm)],[f10137])).
% 19.90/2.96 fof(f10148,plain,(
% 19.90/2.96 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_x____,X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,sk0_2))),
% 19.90/2.96 inference(resolution,[status(thm)],[f10074,f4605])).
% 19.90/2.96 fof(f10149,plain,(
% 19.90/2.96 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,v_x____)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,sk0_2))),
% 19.90/2.96 inference(resolution,[status(thm)],[f10074,f1713])).
% 19.90/2.96 fof(f10159,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x____,v_x____)|~spl0_299),
% 19.90/2.96 inference(backward_demodulation,[status(thm)],[f10138,f4978])).
% 19.90/2.96 fof(f10160,plain,(
% 19.90/2.96 $false|~spl0_299),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f10159,f4492])).
% 19.90/2.96 fof(f10161,plain,(
% 19.90/2.96 ~spl0_299),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f10160])).
% 19.90/2.96 fof(f10214,plain,(
% 19.90/2.96 spl0_303 <=> v_x____=v_Y____),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f10215,plain,(
% 19.90/2.96 v_x____=v_Y____|~spl0_303),
% 19.90/2.96 inference(component_clause,[status(thm)],[f10214])).
% 19.90/2.96 fof(f10235,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x____,v_x____)|~spl0_303),
% 19.90/2.96 inference(backward_demodulation,[status(thm)],[f10215,f4980])).
% 19.90/2.96 fof(f10236,plain,(
% 19.90/2.96 $false|~spl0_303),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f10235,f4492])).
% 19.90/2.96 fof(f10237,plain,(
% 19.90/2.96 ~spl0_303),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f10236])).
% 19.90/2.96 fof(f10246,plain,(
% 19.90/2.96 spl0_307 <=> v_x____=sk0_8),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f10247,plain,(
% 19.90/2.96 v_x____=sk0_8|~spl0_307),
% 19.90/2.96 inference(component_clause,[status(thm)],[f10246])).
% 19.90/2.96 fof(f10268,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_x____,v_x____)|~spl0_307),
% 19.90/2.96 inference(backward_demodulation,[status(thm)],[f10247,f5525])).
% 19.90/2.96 fof(f10269,plain,(
% 19.90/2.96 $false|~spl0_307),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f10268,f4492])).
% 19.90/2.96 fof(f10270,plain,(
% 19.90/2.96 ~spl0_307),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f10269])).
% 19.90/2.96 fof(f10658,plain,(
% 19.90/2.96 spl0_336 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_x____,sk0_2)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f11923,plain,(
% 19.90/2.96 ~class_Orderings_Opreorder(tc_HOL_Obool)|~spl0_224),
% 19.90/2.96 inference(resolution,[status(thm)],[f4243,f9089])).
% 19.90/2.96 fof(f11924,plain,(
% 19.90/2.96 $false|~spl0_224),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f11923,f4366])).
% 19.90/2.96 fof(f11925,plain,(
% 19.90/2.96 ~spl0_224),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f11924])).
% 19.90/2.96 fof(f11935,plain,(
% 19.90/2.96 ~class_Orderings_Oorder(tc_HOL_Obool)|~spl0_226),
% 19.90/2.96 inference(resolution,[status(thm)],[f4249,f9118])).
% 19.90/2.96 fof(f11936,plain,(
% 19.90/2.96 $false|~spl0_226),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f11935,f4368])).
% 19.90/2.96 fof(f11937,plain,(
% 19.90/2.96 ~spl0_226),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f11936])).
% 19.90/2.96 fof(f11999,plain,(
% 19.90/2.96 spl0_384 <=> ~class_Lattices_Osemilattice__sup(tc_fun(X0,tc_HOL_Obool))),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f12000,plain,(
% 19.90/2.96 ![X0]: (~class_Lattices_Osemilattice__sup(tc_fun(X0,tc_HOL_Obool))|~spl0_384)),
% 19.90/2.96 inference(component_clause,[status(thm)],[f11999])).
% 19.90/2.96 fof(f12004,plain,(
% 19.90/2.96 ~class_Lattices_Olattice(tc_HOL_Obool)|~spl0_384),
% 19.90/2.96 inference(resolution,[status(thm)],[f12000,f4234])).
% 19.90/2.96 fof(f12005,plain,(
% 19.90/2.96 $false|~spl0_384),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f12004,f4367])).
% 19.90/2.96 fof(f12006,plain,(
% 19.90/2.96 ~spl0_384),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f12005])).
% 19.90/2.96 fof(f12009,plain,(
% 19.90/2.96 spl0_385 <=> ~class_Lattices_Osemilattice__inf(tc_fun(X0,tc_HOL_Obool))),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f12010,plain,(
% 19.90/2.96 ![X0]: (~class_Lattices_Osemilattice__inf(tc_fun(X0,tc_HOL_Obool))|~spl0_385)),
% 19.90/2.96 inference(component_clause,[status(thm)],[f12009])).
% 19.90/2.96 fof(f12014,plain,(
% 19.90/2.96 ~class_Lattices_Olattice(tc_HOL_Obool)|~spl0_385),
% 19.90/2.96 inference(resolution,[status(thm)],[f12010,f4237])).
% 19.90/2.96 fof(f12015,plain,(
% 19.90/2.96 $false|~spl0_385),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f12014,f4367])).
% 19.90/2.96 fof(f12016,plain,(
% 19.90/2.96 ~spl0_385),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f12015])).
% 19.90/2.96 fof(f12968,plain,(
% 19.90/2.96 spl0_418 <=> hBOOL(hAPP(X3,c_Orderings_Obot__class_Obot(tc_Nat_Onat)))),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f12969,plain,(
% 19.90/2.96 ![X0]: (hBOOL(hAPP(X0,c_Orderings_Obot__class_Obot(tc_Nat_Onat)))|~spl0_418)),
% 19.90/2.96 inference(component_clause,[status(thm)],[f12968])).
% 19.90/2.96 fof(f13026,plain,(
% 19.90/2.96 spl0_421 <=> ~hBOOL(hAPP(X1,c_Orderings_Obot__class_Obot(tc_Nat_Onat)))),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f13027,plain,(
% 19.90/2.96 ![X0]: (~hBOOL(hAPP(X0,c_Orderings_Obot__class_Obot(tc_Nat_Onat)))|~spl0_421)),
% 19.90/2.96 inference(component_clause,[status(thm)],[f13026])).
% 19.90/2.96 fof(f13032,plain,(
% 19.90/2.96 $false|~spl0_421),
% 19.90/2.96 inference(resolution,[status(thm)],[f13027,f6432])).
% 19.90/2.96 fof(f13033,plain,(
% 19.90/2.96 ~spl0_421),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f13032])).
% 19.90/2.96 fof(f13108,plain,(
% 19.90/2.96 $false|~spl0_418),
% 19.90/2.96 inference(resolution,[status(thm)],[f12969,f4584])).
% 19.90/2.96 fof(f13109,plain,(
% 19.90/2.96 ~spl0_418),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f13108])).
% 19.90/2.96 fof(f13790,plain,(
% 19.90/2.96 spl0_443 <=> class_Groups_Omonoid__add(tc_Int_Oint)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f13792,plain,(
% 19.90/2.96 ~class_Groups_Omonoid__add(tc_Int_Oint)|spl0_443),
% 19.90/2.96 inference(component_clause,[status(thm)],[f13790])).
% 19.90/2.96 fof(f13800,plain,(
% 19.90/2.96 spl0_445 <=> class_Groups_Omonoid__add(tc_Nat_Onat)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f13802,plain,(
% 19.90/2.96 ~class_Groups_Omonoid__add(tc_Nat_Onat)|spl0_445),
% 19.90/2.96 inference(component_clause,[status(thm)],[f13800])).
% 19.90/2.96 fof(f13810,plain,(
% 19.90/2.96 $false|spl0_445),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f13802,f4346])).
% 19.90/2.96 fof(f13811,plain,(
% 19.90/2.96 spl0_445),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f13810])).
% 19.90/2.96 fof(f13812,plain,(
% 19.90/2.96 $false|spl0_443),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f13792,f4301])).
% 19.90/2.96 fof(f13813,plain,(
% 19.90/2.96 spl0_443),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f13812])).
% 19.90/2.96 fof(f13947,plain,(
% 19.90/2.96 spl0_466 <=> class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f13949,plain,(
% 19.90/2.96 ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint)|spl0_466),
% 19.90/2.96 inference(component_clause,[status(thm)],[f13947])).
% 19.90/2.96 fof(f13954,plain,(
% 19.90/2.96 spl0_467 <=> class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f13956,plain,(
% 19.90/2.96 ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat)|spl0_467),
% 19.90/2.96 inference(component_clause,[status(thm)],[f13954])).
% 19.90/2.96 fof(f13968,plain,(
% 19.90/2.96 spl0_469 <=> class_Rings_Ocomm__semiring__1(tc_Nat_Onat)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f13970,plain,(
% 19.90/2.96 ~class_Rings_Ocomm__semiring__1(tc_Nat_Onat)|spl0_469),
% 19.90/2.96 inference(component_clause,[status(thm)],[f13968])).
% 19.90/2.96 fof(f14896,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_1,v_Y____)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_1,v_Y____)),
% 19.90/2.96 inference(resolution,[status(thm)],[f7907,f7906])).
% 19.90/2.96 fof(f14897,plain,(
% 19.90/2.96 spl0_99),
% 19.90/2.96 inference(split_clause,[status(thm)],[f14896,f6028])).
% 19.90/2.96 fof(f15168,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_7,sk0_8)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_7,sk0_8)),
% 19.90/2.96 inference(resolution,[status(thm)],[f8919,f8918])).
% 19.90/2.96 fof(f15169,plain,(
% 19.90/2.96 spl0_274),
% 19.90/2.96 inference(split_clause,[status(thm)],[f15168,f9541])).
% 19.90/2.96 fof(f15288,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_7,sk0_2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_7,sk0_2)),
% 19.90/2.96 inference(resolution,[status(thm)],[f8939,f8938])).
% 19.90/2.96 fof(f15289,plain,(
% 19.90/2.96 spl0_275),
% 19.90/2.96 inference(split_clause,[status(thm)],[f15288,f9569])).
% 19.90/2.96 fof(f15660,plain,(
% 19.90/2.96 spl0_618 <=> class_Lattices_Osemilattice__sup(tc_RealDef_Oreal)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f15662,plain,(
% 19.90/2.96 ~class_Lattices_Osemilattice__sup(tc_RealDef_Oreal)|spl0_618),
% 19.90/2.96 inference(component_clause,[status(thm)],[f15660])).
% 19.90/2.96 fof(f15708,plain,(
% 19.90/2.96 $false|spl0_618),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f15662,f4405])).
% 19.90/2.96 fof(f15709,plain,(
% 19.90/2.96 spl0_618),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f15708])).
% 19.90/2.96 fof(f15818,plain,(
% 19.90/2.96 spl0_630 <=> class_Lattices_Osemilattice__inf(tc_RealDef_Oreal)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f15820,plain,(
% 19.90/2.96 ~class_Lattices_Osemilattice__inf(tc_RealDef_Oreal)|spl0_630),
% 19.90/2.96 inference(component_clause,[status(thm)],[f15818])).
% 19.90/2.96 fof(f15906,plain,(
% 19.90/2.96 $false|spl0_630),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f15820,f4406])).
% 19.90/2.96 fof(f15907,plain,(
% 19.90/2.96 spl0_630),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f15906])).
% 19.90/2.96 fof(f16096,plain,(
% 19.90/2.96 spl0_657 <=> class_Rings_Olinordered__semidom(tc_Int_Oint)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f16098,plain,(
% 19.90/2.96 ~class_Rings_Olinordered__semidom(tc_Int_Oint)|spl0_657),
% 19.90/2.96 inference(component_clause,[status(thm)],[f16096])).
% 19.90/2.96 fof(f16109,plain,(
% 19.90/2.96 spl0_660 <=> class_Rings_Olinordered__semidom(tc_Nat_Onat)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f16111,plain,(
% 19.90/2.96 ~class_Rings_Olinordered__semidom(tc_Nat_Onat)|spl0_660),
% 19.90/2.96 inference(component_clause,[status(thm)],[f16109])).
% 19.90/2.96 fof(f16117,plain,(
% 19.90/2.96 spl0_662 <=> class_Rings_Olinordered__semidom(tc_RealDef_Oreal)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f16119,plain,(
% 19.90/2.96 ~class_Rings_Olinordered__semidom(tc_RealDef_Oreal)|spl0_662),
% 19.90/2.96 inference(component_clause,[status(thm)],[f16117])).
% 19.90/2.96 fof(f16157,plain,(
% 19.90/2.96 $false|spl0_657),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f16098,f4281])).
% 19.90/2.96 fof(f16158,plain,(
% 19.90/2.96 spl0_657),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f16157])).
% 19.90/2.96 fof(f16159,plain,(
% 19.90/2.96 $false|spl0_660),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f16111,f4330])).
% 19.90/2.96 fof(f16160,plain,(
% 19.90/2.96 spl0_660),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f16159])).
% 19.90/2.96 fof(f16161,plain,(
% 19.90/2.96 $false|spl0_662),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f16119,f4404])).
% 19.90/2.96 fof(f16162,plain,(
% 19.90/2.96 spl0_662),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f16161])).
% 19.90/2.96 fof(f16164,plain,(
% 19.90/2.96 spl0_668 <=> c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f16165,plain,(
% 19.90/2.96 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)=c_Groups_Oone__class_Oone(tc_RealDef_Oreal)|~spl0_668),
% 19.90/2.96 inference(component_clause,[status(thm)],[f16164])).
% 19.90/2.96 fof(f16206,plain,(
% 19.90/2.96 spl0_672 <=> c_Groups_Ozero__class_Ozero(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f16207,plain,(
% 19.90/2.96 c_Groups_Ozero__class_Ozero(tc_Int_Oint)=c_Groups_Oone__class_Oone(tc_Int_Oint)|~spl0_672),
% 19.90/2.96 inference(component_clause,[status(thm)],[f16206])).
% 19.90/2.96 fof(f16236,plain,(
% 19.90/2.96 spl0_675 <=> class_Rings_Osemiring__1(tc_Nat_Onat)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f16238,plain,(
% 19.90/2.96 ~class_Rings_Osemiring__1(tc_Nat_Onat)|spl0_675),
% 19.90/2.96 inference(component_clause,[status(thm)],[f16236])).
% 19.90/2.96 fof(f16244,plain,(
% 19.90/2.96 $false|spl0_675),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f16238,f4347])).
% 19.90/2.96 fof(f16245,plain,(
% 19.90/2.96 spl0_675),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f16244])).
% 19.90/2.96 fof(f16265,plain,(
% 19.90/2.96 spl0_677 <=> ~X0=X0),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f16266,plain,(
% 19.90/2.96 ![X0]: (~X0=X0|~spl0_677)),
% 19.90/2.96 inference(component_clause,[status(thm)],[f16265])).
% 19.90/2.96 fof(f16273,plain,(
% 19.90/2.96 $false|~spl0_677),
% 19.90/2.96 inference(trivial_equality_resolution,[status(esa)],[f16266])).
% 19.90/2.96 fof(f16274,plain,(
% 19.90/2.96 ~spl0_677),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f16273])).
% 19.90/2.96 fof(f16482,plain,(
% 19.90/2.96 $false|~spl0_672),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f16207,f4112])).
% 19.90/2.96 fof(f16483,plain,(
% 19.90/2.96 ~spl0_672),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f16482])).
% 19.90/2.96 fof(f16625,plain,(
% 19.90/2.96 $false|~spl0_668),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f16165,f2766])).
% 19.90/2.96 fof(f16626,plain,(
% 19.90/2.96 ~spl0_668),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f16625])).
% 19.90/2.96 fof(f18255,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_7,v_Y____)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_7,v_Y____)),
% 19.90/2.96 inference(resolution,[status(thm)],[f9820,f9819])).
% 19.90/2.96 fof(f18256,plain,(
% 19.90/2.96 spl0_285),
% 19.90/2.96 inference(split_clause,[status(thm)],[f18255,f9857])).
% 19.90/2.96 fof(f18509,plain,(
% 19.90/2.96 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_x____,sk0_2)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_x____,sk0_2)),
% 19.90/2.96 inference(resolution,[status(thm)],[f10149,f10148])).
% 19.90/2.96 fof(f18510,plain,(
% 19.90/2.96 spl0_336),
% 19.90/2.96 inference(split_clause,[status(thm)],[f18509,f10658])).
% 19.90/2.96 fof(f18583,plain,(
% 19.90/2.96 ![X0,X1]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0))),
% 19.90/2.96 inference(resolution,[status(thm)],[f4928,f3356])).
% 19.90/2.96 fof(f18584,plain,(
% 19.90/2.96 spl0_35),
% 19.90/2.96 inference(split_clause,[status(thm)],[f18583,f5014])).
% 19.90/2.96 fof(f19133,plain,(
% 19.90/2.96 spl0_1011 <=> class_Groups_Ogroup__add(tc_Int_Oint)),
% 19.90/2.96 introduced(split_symbol_definition)).
% 19.90/2.96 fof(f19135,plain,(
% 19.90/2.96 ~class_Groups_Ogroup__add(tc_Int_Oint)|spl0_1011),
% 19.90/2.96 inference(component_clause,[status(thm)],[f19133])).
% 19.90/2.96 fof(f19177,plain,(
% 19.90/2.96 $false|spl0_1011),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f19135,f4305])).
% 19.90/2.96 fof(f19178,plain,(
% 19.90/2.96 spl0_1011),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f19177])).
% 19.90/2.96 fof(f19427,plain,(
% 19.90/2.96 $false|spl0_469),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f13970,f4340])).
% 19.90/2.96 fof(f19428,plain,(
% 19.90/2.96 spl0_469),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f19427])).
% 19.90/2.96 fof(f19474,plain,(
% 19.90/2.96 $false|spl0_467),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f13956,f4318])).
% 19.90/2.96 fof(f19475,plain,(
% 19.90/2.96 spl0_467),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f19474])).
% 19.90/2.96 fof(f19476,plain,(
% 19.90/2.96 $false|spl0_466),
% 19.90/2.96 inference(forward_subsumption_resolution,[status(thm)],[f13949,f4262])).
% 19.90/2.96 fof(f19477,plain,(
% 19.90/2.96 spl0_466),
% 19.90/2.96 inference(contradiction_clause,[status(thm)],[f19476])).
% 19.90/2.96 fof(f19618,plain,(
% 19.90/2.98 spl0_1044 <=> c_member(tc_RealDef_Oreal,sk0_16(v_P,X0,tc_RealDef_Oreal),v_P)),
% 19.90/2.98 introduced(split_symbol_definition)).
% 19.90/2.98 fof(f19619,plain,(
% 19.90/2.98 ![X0]: (c_member(tc_RealDef_Oreal,sk0_16(v_P,X0,tc_RealDef_Oreal),v_P)|~spl0_1044)),
% 19.90/2.98 inference(component_clause,[status(thm)],[f19618])).
% 19.90/2.98 fof(f19621,plain,(
% 19.90/2.98 ![X0]: (~class_Orderings_Oord(tc_RealDef_Oreal)|c_member(tc_RealDef_Oreal,sk0_16(v_P,X0,tc_RealDef_Oreal),v_P))),
% 19.90/2.98 inference(resolution,[status(thm)],[f1613,f4582])).
% 19.90/2.98 fof(f19622,plain,(
% 19.90/2.98 ~spl0_32|spl0_1044),
% 19.90/2.98 inference(split_clause,[status(thm)],[f19621,f4985,f19618])).
% 19.90/2.98 fof(f19647,plain,(
% 19.90/2.98 spl0_1047 <=> ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_16(v_P,X0,tc_RealDef_Oreal),X0)),
% 19.90/2.98 introduced(split_symbol_definition)).
% 19.90/2.98 fof(f19648,plain,(
% 19.90/2.98 ![X0]: (~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_16(v_P,X0,tc_RealDef_Oreal),X0)|~spl0_1047)),
% 19.90/2.98 inference(component_clause,[status(thm)],[f19647])).
% 19.90/2.98 fof(f19650,plain,(
% 19.90/2.98 ![X0]: (~class_Orderings_Oord(tc_RealDef_Oreal)|~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,sk0_16(v_P,X0,tc_RealDef_Oreal),X0))),
% 19.90/2.98 inference(resolution,[status(thm)],[f1614,f4582])).
% 19.90/2.98 fof(f19651,plain,(
% 19.90/2.98 ~spl0_32|spl0_1047),
% 19.90/2.98 inference(split_clause,[status(thm)],[f19650,f4985,f19647])).
% 19.90/2.98 fof(f19747,plain,(
% 19.90/2.98 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,sk0_16(v_P,X0,tc_RealDef_Oreal))|c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,sk0_16(v_P,X0,tc_RealDef_Oreal))|~spl0_1047)),
% 19.90/2.98 inference(resolution,[status(thm)],[f19648,f4610])).
% 19.90/2.98 fof(f19748,plain,(
% 19.90/2.98 ![X0]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,sk0_16(v_P,X0,tc_RealDef_Oreal))|~spl0_1047)),
% 19.90/2.98 inference(duplicate_literals_removal,[status(esa)],[f19747])).
% 19.90/2.98 fof(f19793,plain,(
% 19.90/2.98 spl0_1064 <=> ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_16(v_P,X0,tc_RealDef_Oreal),X0)),
% 19.90/2.98 introduced(split_symbol_definition)).
% 19.90/2.98 fof(f19794,plain,(
% 19.90/2.98 ![X0]: (~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_16(v_P,X0,tc_RealDef_Oreal),X0)|~spl0_1064)),
% 19.90/2.98 inference(component_clause,[status(thm)],[f19793])).
% 19.90/2.98 fof(f19816,plain,(
% 19.90/2.98 ![X0]: (~class_Orderings_Opreorder(tc_RealDef_Oreal)|~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_16(v_P,X0,tc_RealDef_Oreal),X0)|~spl0_1047)),
% 19.90/2.98 inference(resolution,[status(thm)],[f19748,f1528])).
% 19.90/2.98 fof(f19817,plain,(
% 19.90/2.98 ~spl0_72|spl0_1064|~spl0_1047),
% 19.90/2.98 inference(split_clause,[status(thm)],[f19816,f5726,f19793,f19647])).
% 19.90/2.98 fof(f19850,plain,(
% 19.90/2.98 ![X0]: (hBOOL(hAPP(v_P,sk0_16(v_P,X0,tc_RealDef_Oreal)))|~spl0_1044)),
% 19.90/2.98 inference(resolution,[status(thm)],[f19619,f1251])).
% 19.90/2.98 fof(f19856,plain,(
% 19.90/2.98 ![X0]: (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sk0_16(v_P,X0,tc_RealDef_Oreal),sk0_8)|~spl0_1044)),
% 19.90/2.98 inference(resolution,[status(thm)],[f19850,f1388])).
% 19.90/2.98 fof(f19861,plain,(
% 19.90/2.98 $false|~spl0_1044|~spl0_1064),
% 19.90/2.98 inference(resolution,[status(thm)],[f19856,f19794])).
% 19.90/2.98 fof(f19862,plain,(
% 19.90/2.98 ~spl0_1044|~spl0_1064),
% 19.90/2.98 inference(contradiction_clause,[status(thm)],[f19861])).
% 19.90/2.98 fof(f19863,plain,(
% 19.90/2.98 $false),
% 19.90/2.98 inference(sat_refutation,[status(thm)],[f5003,f8083,f8098,f8100,f8104,f8170,f8923,f8943,f9058,f9155,f9598,f9832,f10161,f10237,f10270,f11925,f11937,f12006,f12016,f13033,f13109,f13811,f13813,f14897,f15169,f15289,f15709,f15907,f16158,f16160,f16162,f16245,f16274,f16483,f16626,f18256,f18510,f18584,f19178,f19428,f19475,f19477,f19622,f19651,f19817,f19862])).
% 19.90/2.98 % SZS output end CNFRefutation for theBenchmark.p
% 19.90/3.00 % Elapsed time: 2.645162 seconds
% 19.90/3.00 % CPU time: 20.266443 seconds
% 19.90/3.00 % Total memory used: 306.281 MB
% 19.90/3.00 % Net memory used: 300.189 MB
%------------------------------------------------------------------------------