# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_AE_CS_SP_PS_S0V
# and selection function PSelectComplexExceptRRHorn.
#
# Preprocessing time       : 0.023 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc8_membered, axiom, ![X1]:(v3_membered(X1)=>![X2]:(m1_subset_1(X2,X1)=>v1_xreal_0(X2))), file('dualsp06/dualsp06__t14_dualsp06', cc8_membered)).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers,k4_ordinal1), file('dualsp06/dualsp06__t14_dualsp06', dt_k5_numbers)).
fof(cc3_membered, axiom, ![X1]:(v4_membered(X1)=>v3_membered(X1)), file('dualsp06/dualsp06__t14_dualsp06', cc3_membered)).
fof(rd3_rlvect_1, axiom, ![X1, X2, X3]:(((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v8_rlvect_1(X1))&l1_rlvect_1(X1))&v9_struct_0(X2,X1))&m1_subset_1(X2,u1_struct_0(X1)))&v1_xreal_0(X3))=>k1_rlvect_1(X1,X2,X3)=X2), file('dualsp06/dualsp06__t14_dualsp06', rd3_rlvect_1)).
fof(t2_arithm, axiom, ![X1]:(v1_xcmplx_0(X1)=>k3_xcmplx_0(X1,k5_numbers)=k5_numbers), file('dualsp06/dualsp06__t14_dualsp06', t2_arithm)).
fof(cc3_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xcmplx_0(X1)), file('dualsp06/dualsp06__t14_dualsp06', cc3_xreal_0)).
fof(commutativity_k3_xcmplx_0, axiom, ![X1, X2]:((v1_xcmplx_0(X1)&v1_xcmplx_0(X2))=>k3_xcmplx_0(X1,X2)=k3_xcmplx_0(X2,X1)), file('dualsp06/dualsp06__t14_dualsp06', commutativity_k3_xcmplx_0)).
fof(cc2_membered, axiom, ![X1]:(v5_membered(X1)=>v4_membered(X1)), file('dualsp06/dualsp06__t14_dualsp06', cc2_membered)).
fof(dt_k4_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>m1_subset_1(k4_struct_0(X1),u1_struct_0(X1))), file('dualsp06/dualsp06__t14_dualsp06', dt_k4_struct_0)).
fof(fc10_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>v9_struct_0(k4_struct_0(X1),X1)), file('dualsp06/dualsp06__t14_dualsp06', fc10_struct_0)).
fof(dt_l2_normsp_0, axiom, ![X1]:(l2_normsp_0(X1)=>(l1_normsp_0(X1)&l2_struct_0(X1))), file('dualsp06/dualsp06__t14_dualsp06', dt_l2_normsp_0)).
fof(dt_l1_normsp_1, axiom, ![X1]:(l1_normsp_1(X1)=>(l1_rlvect_1(X1)&l2_normsp_0(X1))), file('dualsp06/dualsp06__t14_dualsp06', dt_l1_normsp_1)).
fof(cc1_membered, axiom, ![X1]:(v6_membered(X1)=>v5_membered(X1)), file('dualsp06/dualsp06__t14_dualsp06', cc1_membered)).
fof(dt_k17_dualsp01, axiom, ![X1]:(((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>(~(v2_struct_0(k17_dualsp01(X1)))&l1_normsp_1(k17_dualsp01(X1)))), file('dualsp06/dualsp06__t14_dualsp06', dt_k17_dualsp01)).
fof(t14_dualsp06, conjecture, ![X1]:(((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>k2_dualsp06(X1,X2,k4_struct_0(k17_dualsp01(X1)))=k5_numbers)), file('dualsp06/dualsp06__t14_dualsp06', t14_dualsp06)).
fof(fc10_dualsp01, axiom, ![X1]:(((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>(((((((((((~(v2_struct_0(k17_dualsp01(X1)))&v13_algstr_0(k17_dualsp01(X1)))&v2_rlvect_1(k17_dualsp01(X1)))&v3_rlvect_1(k17_dualsp01(X1)))&v4_rlvect_1(k17_dualsp01(X1)))&v5_rlvect_1(k17_dualsp01(X1)))&v6_rlvect_1(k17_dualsp01(X1)))&v7_rlvect_1(k17_dualsp01(X1)))&v8_rlvect_1(k17_dualsp01(X1)))&v3_normsp_0(k17_dualsp01(X1)))&v4_normsp_0(k17_dualsp01(X1)))&v2_normsp_1(k17_dualsp01(X1)))), file('dualsp06/dualsp06__t14_dualsp06', fc10_dualsp01)).
fof(d2_dualsp06, axiom, ![X1]:(((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))=>k2_dualsp06(X1,X2,X3)=k18_dualsp01(X1,X3,X2)))), file('dualsp06/dualsp06__t14_dualsp06', d2_dualsp06)).
fof(t30_dualsp01, axiom, ![X1]:(((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k17_dualsp01(X1)))=>![X3]:(m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))=>![X4]:(v1_xreal_0(X4)=>(X3=k1_rlvect_1(k17_dualsp01(X1),X2,X4)<=>![X5]:(m1_subset_1(X5,u1_struct_0(X1))=>k18_dualsp01(X1,X3,X5)=k3_xcmplx_0(X4,k18_dualsp01(X1,X2,X5)))))))), file('dualsp06/dualsp06__t14_dualsp06', t30_dualsp01)).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1), file('dualsp06/dualsp06__t14_dualsp06', fc6_membered)).
fof(dt_k2_dualsp06, axiom, ![X1, X2, X3]:(((((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1))))=>v1_xreal_0(k2_dualsp06(X1,X2,X3))), file('dualsp06/dualsp06__t14_dualsp06', dt_k2_dualsp06)).
fof(c_0_20, plain, ![X43, X44]:(~v3_membered(X43)|(~m1_subset_1(X44,X43)|v1_xreal_0(X44))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_membered])])])).
cnf(c_0_21, plain, (v1_xreal_0(X2)|~v3_membered(X1)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_22, plain, (m1_subset_1(k5_numbers,k4_ordinal1)), inference(split_conjunct,[status(thm)],[dt_k5_numbers])).
fof(c_0_23, plain, ![X41]:(~v4_membered(X41)|v3_membered(X41)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_membered])])).
fof(c_0_24, plain, ![X1, X2, X3]:(((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v8_rlvect_1(X1))&l1_rlvect_1(X1))&v9_struct_0(X2,X1))&m1_subset_1(X2,u1_struct_0(X1)))&v1_xreal_0(X3))=>k1_rlvect_1(X1,X2,X3)=X2), inference(fof_simplification,[status(thm)],[rd3_rlvect_1])).
fof(c_0_25, plain, ![X62]:(~v1_xcmplx_0(X62)|k3_xcmplx_0(X62,k5_numbers)=k5_numbers), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_arithm])])).
fof(c_0_26, plain, ![X42]:(~v1_xreal_0(X42)|v1_xcmplx_0(X42)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_xreal_0])])).
fof(c_0_27, plain, ![X45, X46]:(~v1_xcmplx_0(X45)|~v1_xcmplx_0(X46)|k3_xcmplx_0(X45,X46)=k3_xcmplx_0(X46,X45)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k3_xcmplx_0])])).
cnf(c_0_28, plain, (v1_xreal_0(k5_numbers)|~v3_membered(k4_ordinal1)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
cnf(c_0_29, plain, (v3_membered(X1)|~v4_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
fof(c_0_30, plain, ![X40]:(~v5_membered(X40)|v4_membered(X40)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_membered])])).
fof(c_0_31, plain, ![X59, X60, X61]:(v2_struct_0(X59)|~v13_algstr_0(X59)|~v3_rlvect_1(X59)|~v4_rlvect_1(X59)|~v5_rlvect_1(X59)|~v6_rlvect_1(X59)|~v8_rlvect_1(X59)|~l1_rlvect_1(X59)|~v9_struct_0(X60,X59)|~m1_subset_1(X60,u1_struct_0(X59))|~v1_xreal_0(X61)|k1_rlvect_1(X59,X60,X61)=X60), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])).
fof(c_0_32, plain, ![X54]:(~l2_struct_0(X54)|m1_subset_1(k4_struct_0(X54),u1_struct_0(X54))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_struct_0])])).
fof(c_0_33, plain, ![X58]:(~l2_struct_0(X58)|v9_struct_0(k4_struct_0(X58),X58)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_struct_0])])).
fof(c_0_34, plain, ![X56]:((l1_normsp_0(X56)|~l2_normsp_0(X56))&(l2_struct_0(X56)|~l2_normsp_0(X56))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_normsp_0])])])).
fof(c_0_35, plain, ![X55]:((l1_rlvect_1(X55)|~l1_normsp_1(X55))&(l2_normsp_0(X55)|~l1_normsp_1(X55))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_normsp_1])])])).
cnf(c_0_36, plain, (k3_xcmplx_0(X1,k5_numbers)=k5_numbers|~v1_xcmplx_0(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_37, plain, (v1_xcmplx_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_38, plain, (k3_xcmplx_0(X1,X2)=k3_xcmplx_0(X2,X1)|~v1_xcmplx_0(X1)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_39, plain, (v1_xreal_0(k5_numbers)|~v4_membered(k4_ordinal1)), inference(spm,[status(thm)],[c_0_28, c_0_29])).
cnf(c_0_40, plain, (v4_membered(X1)|~v5_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
fof(c_0_41, plain, ![X39]:(~v6_membered(X39)|v5_membered(X39)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_membered])])).
cnf(c_0_42, plain, (v2_struct_0(X1)|k1_rlvect_1(X1,X2,X3)=X2|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v8_rlvect_1(X1)|~l1_rlvect_1(X1)|~v9_struct_0(X2,X1)|~m1_subset_1(X2,u1_struct_0(X1))|~v1_xreal_0(X3)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_43, plain, (m1_subset_1(k4_struct_0(X1),u1_struct_0(X1))|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_44, plain, (v9_struct_0(k4_struct_0(X1),X1)|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_45, plain, (l2_struct_0(X1)|~l2_normsp_0(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_46, plain, (l2_normsp_0(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_35])).
fof(c_0_47, plain, ![X1]:(((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>(~v2_struct_0(k17_dualsp01(X1))&l1_normsp_1(k17_dualsp01(X1)))), inference(fof_simplification,[status(thm)],[dt_k17_dualsp01])).
fof(c_0_48, negated_conjecture, ~(![X1]:(((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>k2_dualsp06(X1,X2,k4_struct_0(k17_dualsp01(X1)))=k5_numbers))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t14_dualsp06])])).
fof(c_0_49, plain, ![X1]:(((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>(((((((((((~v2_struct_0(k17_dualsp01(X1))&v13_algstr_0(k17_dualsp01(X1)))&v2_rlvect_1(k17_dualsp01(X1)))&v3_rlvect_1(k17_dualsp01(X1)))&v4_rlvect_1(k17_dualsp01(X1)))&v5_rlvect_1(k17_dualsp01(X1)))&v6_rlvect_1(k17_dualsp01(X1)))&v7_rlvect_1(k17_dualsp01(X1)))&v8_rlvect_1(k17_dualsp01(X1)))&v3_normsp_0(k17_dualsp01(X1)))&v4_normsp_0(k17_dualsp01(X1)))&v2_normsp_1(k17_dualsp01(X1)))), inference(fof_simplification,[status(thm)],[fc10_dualsp01])).
fof(c_0_50, plain, ![X1]:(((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))=>k2_dualsp06(X1,X2,X3)=k18_dualsp01(X1,X3,X2)))), inference(fof_simplification,[status(thm)],[d2_dualsp06])).
fof(c_0_51, plain, ![X1]:(((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k17_dualsp01(X1)))=>![X3]:(m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))=>![X4]:(v1_xreal_0(X4)=>(X3=k1_rlvect_1(k17_dualsp01(X1),X2,X4)<=>![X5]:(m1_subset_1(X5,u1_struct_0(X1))=>k18_dualsp01(X1,X3,X5)=k3_xcmplx_0(X4,k18_dualsp01(X1,X2,X5)))))))), inference(fof_simplification,[status(thm)],[t30_dualsp01])).
cnf(c_0_52, plain, (k3_xcmplx_0(X1,k5_numbers)=k5_numbers|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_36, c_0_37])).
cnf(c_0_53, plain, (k3_xcmplx_0(X1,X2)=k3_xcmplx_0(X2,X1)|~v1_xcmplx_0(X2)|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_38, c_0_37])).
cnf(c_0_54, plain, (v1_xreal_0(k5_numbers)|~v5_membered(k4_ordinal1)), inference(spm,[status(thm)],[c_0_39, c_0_40])).
cnf(c_0_55, plain, (v5_membered(X1)|~v6_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_56, plain, (v6_membered(k4_ordinal1)), inference(split_conjunct,[status(thm)],[fc6_membered])).
cnf(c_0_57, plain, (k1_rlvect_1(X1,k4_struct_0(X1),X2)=k4_struct_0(X1)|v2_struct_0(X1)|~l1_rlvect_1(X1)|~l2_struct_0(X1)|~v1_xreal_0(X2)|~v8_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44])).
cnf(c_0_58, plain, (l1_rlvect_1(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_59, plain, (l2_struct_0(X1)|~l1_normsp_1(X1)), inference(spm,[status(thm)],[c_0_45, c_0_46])).
fof(c_0_60, plain, ![X50]:((~v2_struct_0(k17_dualsp01(X50))|(v2_struct_0(X50)|~v13_algstr_0(X50)|~v2_rlvect_1(X50)|~v3_rlvect_1(X50)|~v4_rlvect_1(X50)|~v5_rlvect_1(X50)|~v6_rlvect_1(X50)|~v7_rlvect_1(X50)|~v8_rlvect_1(X50)|~v3_normsp_0(X50)|~v4_normsp_0(X50)|~v2_normsp_1(X50)|~l1_normsp_1(X50)))&(l1_normsp_1(k17_dualsp01(X50))|(v2_struct_0(X50)|~v13_algstr_0(X50)|~v2_rlvect_1(X50)|~v3_rlvect_1(X50)|~v4_rlvect_1(X50)|~v5_rlvect_1(X50)|~v6_rlvect_1(X50)|~v7_rlvect_1(X50)|~v8_rlvect_1(X50)|~v3_normsp_0(X50)|~v4_normsp_0(X50)|~v2_normsp_1(X50)|~l1_normsp_1(X50)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])).
fof(c_0_61, negated_conjecture, (((((((((((((~v2_struct_0(esk1_0)&v13_algstr_0(esk1_0))&v2_rlvect_1(esk1_0))&v3_rlvect_1(esk1_0))&v4_rlvect_1(esk1_0))&v5_rlvect_1(esk1_0))&v6_rlvect_1(esk1_0))&v7_rlvect_1(esk1_0))&v8_rlvect_1(esk1_0))&v3_normsp_0(esk1_0))&v4_normsp_0(esk1_0))&v2_normsp_1(esk1_0))&l1_normsp_1(esk1_0))&(m1_subset_1(esk2_0,u1_struct_0(esk1_0))&k2_dualsp06(esk1_0,esk2_0,k4_struct_0(k17_dualsp01(esk1_0)))!=k5_numbers)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])).
fof(c_0_62, plain, ![X57]:((((((((((((~v2_struct_0(k17_dualsp01(X57))|(v2_struct_0(X57)|~v13_algstr_0(X57)|~v2_rlvect_1(X57)|~v3_rlvect_1(X57)|~v4_rlvect_1(X57)|~v5_rlvect_1(X57)|~v6_rlvect_1(X57)|~v7_rlvect_1(X57)|~v8_rlvect_1(X57)|~v3_normsp_0(X57)|~v4_normsp_0(X57)|~v2_normsp_1(X57)|~l1_normsp_1(X57)))&(v13_algstr_0(k17_dualsp01(X57))|(v2_struct_0(X57)|~v13_algstr_0(X57)|~v2_rlvect_1(X57)|~v3_rlvect_1(X57)|~v4_rlvect_1(X57)|~v5_rlvect_1(X57)|~v6_rlvect_1(X57)|~v7_rlvect_1(X57)|~v8_rlvect_1(X57)|~v3_normsp_0(X57)|~v4_normsp_0(X57)|~v2_normsp_1(X57)|~l1_normsp_1(X57))))&(v2_rlvect_1(k17_dualsp01(X57))|(v2_struct_0(X57)|~v13_algstr_0(X57)|~v2_rlvect_1(X57)|~v3_rlvect_1(X57)|~v4_rlvect_1(X57)|~v5_rlvect_1(X57)|~v6_rlvect_1(X57)|~v7_rlvect_1(X57)|~v8_rlvect_1(X57)|~v3_normsp_0(X57)|~v4_normsp_0(X57)|~v2_normsp_1(X57)|~l1_normsp_1(X57))))&(v3_rlvect_1(k17_dualsp01(X57))|(v2_struct_0(X57)|~v13_algstr_0(X57)|~v2_rlvect_1(X57)|~v3_rlvect_1(X57)|~v4_rlvect_1(X57)|~v5_rlvect_1(X57)|~v6_rlvect_1(X57)|~v7_rlvect_1(X57)|~v8_rlvect_1(X57)|~v3_normsp_0(X57)|~v4_normsp_0(X57)|~v2_normsp_1(X57)|~l1_normsp_1(X57))))&(v4_rlvect_1(k17_dualsp01(X57))|(v2_struct_0(X57)|~v13_algstr_0(X57)|~v2_rlvect_1(X57)|~v3_rlvect_1(X57)|~v4_rlvect_1(X57)|~v5_rlvect_1(X57)|~v6_rlvect_1(X57)|~v7_rlvect_1(X57)|~v8_rlvect_1(X57)|~v3_normsp_0(X57)|~v4_normsp_0(X57)|~v2_normsp_1(X57)|~l1_normsp_1(X57))))&(v5_rlvect_1(k17_dualsp01(X57))|(v2_struct_0(X57)|~v13_algstr_0(X57)|~v2_rlvect_1(X57)|~v3_rlvect_1(X57)|~v4_rlvect_1(X57)|~v5_rlvect_1(X57)|~v6_rlvect_1(X57)|~v7_rlvect_1(X57)|~v8_rlvect_1(X57)|~v3_normsp_0(X57)|~v4_normsp_0(X57)|~v2_normsp_1(X57)|~l1_normsp_1(X57))))&(v6_rlvect_1(k17_dualsp01(X57))|(v2_struct_0(X57)|~v13_algstr_0(X57)|~v2_rlvect_1(X57)|~v3_rlvect_1(X57)|~v4_rlvect_1(X57)|~v5_rlvect_1(X57)|~v6_rlvect_1(X57)|~v7_rlvect_1(X57)|~v8_rlvect_1(X57)|~v3_normsp_0(X57)|~v4_normsp_0(X57)|~v2_normsp_1(X57)|~l1_normsp_1(X57))))&(v7_rlvect_1(k17_dualsp01(X57))|(v2_struct_0(X57)|~v13_algstr_0(X57)|~v2_rlvect_1(X57)|~v3_rlvect_1(X57)|~v4_rlvect_1(X57)|~v5_rlvect_1(X57)|~v6_rlvect_1(X57)|~v7_rlvect_1(X57)|~v8_rlvect_1(X57)|~v3_normsp_0(X57)|~v4_normsp_0(X57)|~v2_normsp_1(X57)|~l1_normsp_1(X57))))&(v8_rlvect_1(k17_dualsp01(X57))|(v2_struct_0(X57)|~v13_algstr_0(X57)|~v2_rlvect_1(X57)|~v3_rlvect_1(X57)|~v4_rlvect_1(X57)|~v5_rlvect_1(X57)|~v6_rlvect_1(X57)|~v7_rlvect_1(X57)|~v8_rlvect_1(X57)|~v3_normsp_0(X57)|~v4_normsp_0(X57)|~v2_normsp_1(X57)|~l1_normsp_1(X57))))&(v3_normsp_0(k17_dualsp01(X57))|(v2_struct_0(X57)|~v13_algstr_0(X57)|~v2_rlvect_1(X57)|~v3_rlvect_1(X57)|~v4_rlvect_1(X57)|~v5_rlvect_1(X57)|~v6_rlvect_1(X57)|~v7_rlvect_1(X57)|~v8_rlvect_1(X57)|~v3_normsp_0(X57)|~v4_normsp_0(X57)|~v2_normsp_1(X57)|~l1_normsp_1(X57))))&(v4_normsp_0(k17_dualsp01(X57))|(v2_struct_0(X57)|~v13_algstr_0(X57)|~v2_rlvect_1(X57)|~v3_rlvect_1(X57)|~v4_rlvect_1(X57)|~v5_rlvect_1(X57)|~v6_rlvect_1(X57)|~v7_rlvect_1(X57)|~v8_rlvect_1(X57)|~v3_normsp_0(X57)|~v4_normsp_0(X57)|~v2_normsp_1(X57)|~l1_normsp_1(X57))))&(v2_normsp_1(k17_dualsp01(X57))|(v2_struct_0(X57)|~v13_algstr_0(X57)|~v2_rlvect_1(X57)|~v3_rlvect_1(X57)|~v4_rlvect_1(X57)|~v5_rlvect_1(X57)|~v6_rlvect_1(X57)|~v7_rlvect_1(X57)|~v8_rlvect_1(X57)|~v3_normsp_0(X57)|~v4_normsp_0(X57)|~v2_normsp_1(X57)|~l1_normsp_1(X57)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])).
fof(c_0_63, plain, ![X1, X2, X3]:(((((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1))))=>v1_xreal_0(k2_dualsp06(X1,X2,X3))), inference(fof_simplification,[status(thm)],[dt_k2_dualsp06])).
fof(c_0_64, plain, ![X47, X48, X49]:(v2_struct_0(X47)|~v13_algstr_0(X47)|~v2_rlvect_1(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~v5_rlvect_1(X47)|~v6_rlvect_1(X47)|~v7_rlvect_1(X47)|~v8_rlvect_1(X47)|~v3_normsp_0(X47)|~v4_normsp_0(X47)|~v2_normsp_1(X47)|~l1_normsp_1(X47)|(~m1_subset_1(X48,u1_struct_0(X47))|(~m1_subset_1(X49,u1_struct_0(k17_dualsp01(X47)))|k2_dualsp06(X47,X48,X49)=k18_dualsp01(X47,X49,X48)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])).
fof(c_0_65, plain, ![X63, X64, X65, X66, X67]:((X65!=k1_rlvect_1(k17_dualsp01(X63),X64,X66)|(~m1_subset_1(X67,u1_struct_0(X63))|k18_dualsp01(X63,X65,X67)=k3_xcmplx_0(X66,k18_dualsp01(X63,X64,X67)))|~v1_xreal_0(X66)|~m1_subset_1(X65,u1_struct_0(k17_dualsp01(X63)))|~m1_subset_1(X64,u1_struct_0(k17_dualsp01(X63)))|(v2_struct_0(X63)|~v13_algstr_0(X63)|~v2_rlvect_1(X63)|~v3_rlvect_1(X63)|~v4_rlvect_1(X63)|~v5_rlvect_1(X63)|~v6_rlvect_1(X63)|~v7_rlvect_1(X63)|~v8_rlvect_1(X63)|~v3_normsp_0(X63)|~v4_normsp_0(X63)|~v2_normsp_1(X63)|~l1_normsp_1(X63)))&((m1_subset_1(esk3_4(X63,X64,X65,X66),u1_struct_0(X63))|X65=k1_rlvect_1(k17_dualsp01(X63),X64,X66)|~v1_xreal_0(X66)|~m1_subset_1(X65,u1_struct_0(k17_dualsp01(X63)))|~m1_subset_1(X64,u1_struct_0(k17_dualsp01(X63)))|(v2_struct_0(X63)|~v13_algstr_0(X63)|~v2_rlvect_1(X63)|~v3_rlvect_1(X63)|~v4_rlvect_1(X63)|~v5_rlvect_1(X63)|~v6_rlvect_1(X63)|~v7_rlvect_1(X63)|~v8_rlvect_1(X63)|~v3_normsp_0(X63)|~v4_normsp_0(X63)|~v2_normsp_1(X63)|~l1_normsp_1(X63)))&(k18_dualsp01(X63,X65,esk3_4(X63,X64,X65,X66))!=k3_xcmplx_0(X66,k18_dualsp01(X63,X64,esk3_4(X63,X64,X65,X66)))|X65=k1_rlvect_1(k17_dualsp01(X63),X64,X66)|~v1_xreal_0(X66)|~m1_subset_1(X65,u1_struct_0(k17_dualsp01(X63)))|~m1_subset_1(X64,u1_struct_0(k17_dualsp01(X63)))|(v2_struct_0(X63)|~v13_algstr_0(X63)|~v2_rlvect_1(X63)|~v3_rlvect_1(X63)|~v4_rlvect_1(X63)|~v5_rlvect_1(X63)|~v6_rlvect_1(X63)|~v7_rlvect_1(X63)|~v8_rlvect_1(X63)|~v3_normsp_0(X63)|~v4_normsp_0(X63)|~v2_normsp_1(X63)|~l1_normsp_1(X63))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])])])).
cnf(c_0_66, plain, (k3_xcmplx_0(k5_numbers,X1)=k5_numbers|~v1_xcmplx_0(k5_numbers)|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_52, c_0_53])).
cnf(c_0_67, plain, (v1_xreal_0(k5_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_56])])).
cnf(c_0_68, plain, (k1_rlvect_1(X1,k4_struct_0(X1),X2)=k4_struct_0(X1)|v2_struct_0(X1)|~v1_xreal_0(X2)|~l1_normsp_1(X1)|~v8_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_59])).
cnf(c_0_69, plain, (l1_normsp_1(k17_dualsp01(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_70, negated_conjecture, (l1_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_71, negated_conjecture, (v2_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_72, negated_conjecture, (v4_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_73, negated_conjecture, (v3_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_74, negated_conjecture, (v8_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_75, negated_conjecture, (v7_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_76, negated_conjecture, (v6_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_77, negated_conjecture, (v5_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_78, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_79, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_80, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_81, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_82, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_83, plain, (v8_rlvect_1(k17_dualsp01(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_84, plain, (v6_rlvect_1(k17_dualsp01(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_85, plain, (v5_rlvect_1(k17_dualsp01(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_86, plain, (v4_rlvect_1(k17_dualsp01(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_87, plain, (v3_rlvect_1(k17_dualsp01(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_88, plain, (v13_algstr_0(k17_dualsp01(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_62])).
cnf(c_0_89, plain, (v2_struct_0(X1)|~v2_struct_0(k17_dualsp01(X1))|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_60])).
fof(c_0_90, plain, ![X51, X52, X53]:(v2_struct_0(X51)|~v13_algstr_0(X51)|~v2_rlvect_1(X51)|~v3_rlvect_1(X51)|~v4_rlvect_1(X51)|~v5_rlvect_1(X51)|~v6_rlvect_1(X51)|~v7_rlvect_1(X51)|~v8_rlvect_1(X51)|~v3_normsp_0(X51)|~v4_normsp_0(X51)|~v2_normsp_1(X51)|~l1_normsp_1(X51)|~m1_subset_1(X52,u1_struct_0(X51))|~m1_subset_1(X53,u1_struct_0(k17_dualsp01(X51)))|v1_xreal_0(k2_dualsp06(X51,X52,X53))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])).
cnf(c_0_91, plain, (v2_struct_0(X1)|k2_dualsp06(X1,X2,X3)=k18_dualsp01(X1,X3,X2)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))), inference(split_conjunct,[status(thm)],[c_0_64])).
cnf(c_0_92, plain, (k18_dualsp01(X2,X1,X5)=k3_xcmplx_0(X4,k18_dualsp01(X2,X3,X5))|v2_struct_0(X2)|X1!=k1_rlvect_1(k17_dualsp01(X2),X3,X4)|~m1_subset_1(X5,u1_struct_0(X2))|~v1_xreal_0(X4)|~m1_subset_1(X1,u1_struct_0(k17_dualsp01(X2)))|~m1_subset_1(X3,u1_struct_0(k17_dualsp01(X2)))|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~v3_normsp_0(X2)|~v4_normsp_0(X2)|~v2_normsp_1(X2)|~l1_normsp_1(X2)), inference(split_conjunct,[status(thm)],[c_0_65])).
cnf(c_0_93, plain, (k3_xcmplx_0(k5_numbers,X1)=k5_numbers|~v1_xreal_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_37]), c_0_67])])).
cnf(c_0_94, plain, (k1_rlvect_1(X1,k4_struct_0(X1),k5_numbers)=k4_struct_0(X1)|v2_struct_0(X1)|~l1_normsp_1(X1)|~v8_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_68, c_0_67])).
cnf(c_0_95, negated_conjecture, (l1_normsp_1(k17_dualsp01(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79]), c_0_80]), c_0_81])]), c_0_82])).
cnf(c_0_96, negated_conjecture, (v8_rlvect_1(k17_dualsp01(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79]), c_0_80]), c_0_81])]), c_0_82])).
cnf(c_0_97, negated_conjecture, (v6_rlvect_1(k17_dualsp01(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79]), c_0_80]), c_0_81])]), c_0_82])).
cnf(c_0_98, negated_conjecture, (v5_rlvect_1(k17_dualsp01(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79]), c_0_80]), c_0_81])]), c_0_82])).
cnf(c_0_99, negated_conjecture, (v4_rlvect_1(k17_dualsp01(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79]), c_0_80]), c_0_81])]), c_0_82])).
cnf(c_0_100, negated_conjecture, (v3_rlvect_1(k17_dualsp01(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79]), c_0_80]), c_0_81])]), c_0_82])).
cnf(c_0_101, negated_conjecture, (v13_algstr_0(k17_dualsp01(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79]), c_0_80]), c_0_81])]), c_0_82])).
cnf(c_0_102, negated_conjecture, (~v2_struct_0(k17_dualsp01(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_71]), c_0_70]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79]), c_0_80]), c_0_81])]), c_0_82])).
cnf(c_0_103, plain, (v2_struct_0(X1)|v1_xreal_0(k2_dualsp06(X1,X2,X3))|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))), inference(split_conjunct,[status(thm)],[c_0_90])).
cnf(c_0_104, plain, (k2_dualsp06(X1,X2,k4_struct_0(k17_dualsp01(X1)))=k18_dualsp01(X1,k4_struct_0(k17_dualsp01(X1)),X2)|v2_struct_0(X1)|~l2_struct_0(k17_dualsp01(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l1_normsp_1(X1)|~v2_normsp_1(X1)|~v4_normsp_0(X1)|~v3_normsp_0(X1)|~v8_rlvect_1(X1)|~v7_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_91, c_0_43])).
cnf(c_0_105, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_106, plain, (k18_dualsp01(X1,X2,X3)=k5_numbers|v2_struct_0(X1)|X2!=k1_rlvect_1(k17_dualsp01(X1),X4,k5_numbers)|~v1_xreal_0(k18_dualsp01(X1,X4,X3))|~m1_subset_1(X4,u1_struct_0(k17_dualsp01(X1)))|~m1_subset_1(X2,u1_struct_0(k17_dualsp01(X1)))|~m1_subset_1(X3,u1_struct_0(X1))|~l1_normsp_1(X1)|~v2_normsp_1(X1)|~v4_normsp_0(X1)|~v3_normsp_0(X1)|~v8_rlvect_1(X1)|~v7_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_93]), c_0_67])])).
cnf(c_0_107, negated_conjecture, (k1_rlvect_1(k17_dualsp01(esk1_0),k4_struct_0(k17_dualsp01(esk1_0)),k5_numbers)=k4_struct_0(k17_dualsp01(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_95]), c_0_96]), c_0_97]), c_0_98]), c_0_99]), c_0_100]), c_0_101])]), c_0_102])).
cnf(c_0_108, plain, (v1_xreal_0(k2_dualsp06(X1,X2,k4_struct_0(k17_dualsp01(X1))))|v2_struct_0(X1)|~l2_struct_0(k17_dualsp01(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l1_normsp_1(X1)|~v2_normsp_1(X1)|~v4_normsp_0(X1)|~v3_normsp_0(X1)|~v8_rlvect_1(X1)|~v7_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_103, c_0_43])).
cnf(c_0_109, negated_conjecture, (k2_dualsp06(esk1_0,esk2_0,k4_struct_0(k17_dualsp01(esk1_0)))=k18_dualsp01(esk1_0,k4_struct_0(k17_dualsp01(esk1_0)),esk2_0)|~l2_struct_0(k17_dualsp01(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_105]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79]), c_0_80]), c_0_81])]), c_0_82])).
cnf(c_0_110, negated_conjecture, (k18_dualsp01(esk1_0,X1,X2)=k5_numbers|X1!=k4_struct_0(k17_dualsp01(esk1_0))|~v1_xreal_0(k18_dualsp01(esk1_0,k4_struct_0(k17_dualsp01(esk1_0)),X2))|~m1_subset_1(k4_struct_0(k17_dualsp01(esk1_0)),u1_struct_0(k17_dualsp01(esk1_0)))|~m1_subset_1(X1,u1_struct_0(k17_dualsp01(esk1_0)))|~m1_subset_1(X2,u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_107]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79]), c_0_80]), c_0_81])]), c_0_82])).
cnf(c_0_111, negated_conjecture, (v1_xreal_0(k18_dualsp01(esk1_0,k4_struct_0(k17_dualsp01(esk1_0)),esk2_0))|~l2_struct_0(k17_dualsp01(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_109]), c_0_105]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79]), c_0_80]), c_0_81])]), c_0_82])).
cnf(c_0_112, negated_conjecture, (k2_dualsp06(esk1_0,esk2_0,k4_struct_0(k17_dualsp01(esk1_0)))!=k5_numbers), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_113, negated_conjecture, (k18_dualsp01(esk1_0,X1,esk2_0)=k5_numbers|X1!=k4_struct_0(k17_dualsp01(esk1_0))|~l2_struct_0(k17_dualsp01(esk1_0))|~m1_subset_1(X1,u1_struct_0(k17_dualsp01(esk1_0)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_111]), c_0_105])]), c_0_43])).
cnf(c_0_114, negated_conjecture, (k18_dualsp01(esk1_0,k4_struct_0(k17_dualsp01(esk1_0)),esk2_0)!=k5_numbers|~l2_struct_0(k17_dualsp01(esk1_0))), inference(spm,[status(thm)],[c_0_112, c_0_109])).
cnf(c_0_115, negated_conjecture, (~l2_struct_0(k17_dualsp01(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_43]), c_0_114])).
cnf(c_0_116, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115, c_0_59]), c_0_95])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 117
# Proof object clause steps            : 72
# Proof object formula steps           : 45
# Proof object conjectures             : 34
# Proof object clause conjectures      : 31
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 41
# Proof object initial formulas used   : 20
# Proof object generating inferences   : 31
# Proof object simplifying inferences  : 169
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 21
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 51
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 51
# Processed clauses                    : 340
# ...of these trivial                  : 4
# ...subsumed                          : 10
# ...remaining for further processing  : 326
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 3
# Backward-rewritten                   : 37
# Generated clauses                    : 330
# ...of the previous two non-trivial   : 359
# Contextual simplify-reflections      : 7
# Paramodulations                      : 328
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 2
# Propositional unsat checks           : 0
#    Propositional check models        : 0
#    Propositional check unsatisfiable : 0
#    Propositional clauses             : 0
#    Propositional clauses after purity: 0
#    Propositional unsat core size     : 0
#    Propositional preprocessing time  : 0.000
#    Propositional encoding time       : 0.000
#    Propositional solver time         : 0.000
#    Success case prop preproc time    : 0.000
#    Success case prop encoding time   : 0.000
#    Success case prop solver time     : 0.000
# Current number of processed clauses  : 236
#    Positive orientable unit clauses  : 153
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 13
#    Non-unit-clauses                  : 70
# Current number of unprocessed clauses: 118
# ...number of literals in the above   : 783
# Current number of archived formulas  : 0
# Current number of archived clauses   : 90
# Clause-clause subsumption calls (NU) : 16180
# Rec. Clause-clause subsumption calls : 876
# Non-unit clause-clause subsumptions  : 20
# Unit Clause-clause subsumption calls : 243
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 535
# BW rewrite match successes           : 7
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 46429

# -------------------------------------------------
# User time                : 0.040 s
# System time              : 0.004 s
# Total time               : 0.044 s
# Maximum resident set size: 3468 pages
