# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.023 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t1_ndiff_8, 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]:(((((((((((((~(v2_struct_0(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))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(X2))=>![X5]:(m1_subset_1(X5,u1_struct_0(k9_prvect_3(X1,X2)))=>(X5=k10_prvect_3(X1,X2,X3,X4)=>k2_normsp_0(k9_prvect_3(X1,X2),X5)=k3_square_1(k2_xcmplx_0(k1_square_1(k2_normsp_0(X1,X3)),k1_square_1(k2_normsp_0(X2,X4)))))))))), file('ndiff13/ndiff13__t16_ndiff13', t1_ndiff_8)).
fof(t16_ndiff13, 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]:(((((((((((((~(v2_struct_0(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))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(X2))=>![X5]:(m1_subset_1(X5,u1_struct_0(k9_prvect_3(X1,X2)))=>(X5=k10_prvect_3(X1,X2,X3,X4)=>r1_xxreal_0(k2_normsp_0(k9_prvect_3(X1,X2),X5),k2_xcmplx_0(k2_normsp_0(X1,X3),k2_normsp_0(X2,X4))))))))), file('ndiff13/ndiff13__t16_ndiff13', t16_ndiff13)).
fof(t4_normsp_1, 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))=>r1_xxreal_0(k5_numbers,k2_normsp_0(X1,X2)))), file('ndiff13/ndiff13__t16_ndiff13', t4_normsp_1)).
fof(t78_complex1, axiom, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>r1_xxreal_0(k3_square_1(k2_xcmplx_0(k1_square_1(X1),k1_square_1(X2))),k2_xcmplx_0(k9_complex1(X1),k9_complex1(X2))))), file('ndiff13/ndiff13__t16_ndiff13', t78_complex1)).
fof(t43_complex1, axiom, ![X1]:(v1_xreal_0(X1)=>(r1_xxreal_0(k5_numbers,X1)=>k9_complex1(X1)=X1)), file('ndiff13/ndiff13__t16_ndiff13', t43_complex1)).
fof(dt_k2_normsp_0, axiom, ![X1, X2]:(((~(v2_struct_0(X1))&l1_normsp_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>v1_xreal_0(k2_normsp_0(X1,X2))), file('ndiff13/ndiff13__t16_ndiff13', dt_k2_normsp_0)).
fof(dt_l2_normsp_0, axiom, ![X1]:(l2_normsp_0(X1)=>(l1_normsp_0(X1)&l2_struct_0(X1))), file('ndiff13/ndiff13__t16_ndiff13', dt_l2_normsp_0)).
fof(dt_l1_normsp_1, axiom, ![X1]:(l1_normsp_1(X1)=>(l1_rlvect_1(X1)&l2_normsp_0(X1))), file('ndiff13/ndiff13__t16_ndiff13', dt_l1_normsp_1)).
fof(c_0_8, 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]:(((((((((((((~v2_struct_0(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))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(X2))=>![X5]:(m1_subset_1(X5,u1_struct_0(k9_prvect_3(X1,X2)))=>(X5=k10_prvect_3(X1,X2,X3,X4)=>k2_normsp_0(k9_prvect_3(X1,X2),X5)=k3_square_1(k2_xcmplx_0(k1_square_1(k2_normsp_0(X1,X3)),k1_square_1(k2_normsp_0(X2,X4)))))))))), inference(fof_simplification,[status(thm)],[t1_ndiff_8])).
fof(c_0_9, plain, ![X34, X35, X36, X37, X38]:(v2_struct_0(X34)|~v13_algstr_0(X34)|~v2_rlvect_1(X34)|~v3_rlvect_1(X34)|~v4_rlvect_1(X34)|~v5_rlvect_1(X34)|~v6_rlvect_1(X34)|~v7_rlvect_1(X34)|~v8_rlvect_1(X34)|~v3_normsp_0(X34)|~v4_normsp_0(X34)|~v2_normsp_1(X34)|~l1_normsp_1(X34)|(v2_struct_0(X35)|~v13_algstr_0(X35)|~v2_rlvect_1(X35)|~v3_rlvect_1(X35)|~v4_rlvect_1(X35)|~v5_rlvect_1(X35)|~v6_rlvect_1(X35)|~v7_rlvect_1(X35)|~v8_rlvect_1(X35)|~v3_normsp_0(X35)|~v4_normsp_0(X35)|~v2_normsp_1(X35)|~l1_normsp_1(X35)|(~m1_subset_1(X36,u1_struct_0(X34))|(~m1_subset_1(X37,u1_struct_0(X35))|(~m1_subset_1(X38,u1_struct_0(k9_prvect_3(X34,X35)))|(X38!=k10_prvect_3(X34,X35,X36,X37)|k2_normsp_0(k9_prvect_3(X34,X35),X38)=k3_square_1(k2_xcmplx_0(k1_square_1(k2_normsp_0(X34,X36)),k1_square_1(k2_normsp_0(X35,X37)))))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
fof(c_0_10, 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]:(((((((((((((~v2_struct_0(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))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(X2))=>![X5]:(m1_subset_1(X5,u1_struct_0(k9_prvect_3(X1,X2)))=>(X5=k10_prvect_3(X1,X2,X3,X4)=>r1_xxreal_0(k2_normsp_0(k9_prvect_3(X1,X2),X5),k2_xcmplx_0(k2_normsp_0(X1,X3),k2_normsp_0(X2,X4)))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t16_ndiff13])])).
cnf(c_0_11, plain, (v2_struct_0(X1)|v2_struct_0(X2)|k2_normsp_0(k9_prvect_3(X1,X2),X5)=k3_square_1(k2_xcmplx_0(k1_square_1(k2_normsp_0(X1,X3)),k1_square_1(k2_normsp_0(X2,X4))))|~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)|~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)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X4,u1_struct_0(X2))|~m1_subset_1(X5,u1_struct_0(k9_prvect_3(X1,X2)))|X5!=k10_prvect_3(X1,X2,X3,X4)), inference(split_conjunct,[status(thm)],[c_0_9])).
fof(c_0_12, 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))&(((((((((((((~v2_struct_0(esk2_0)&v13_algstr_0(esk2_0))&v2_rlvect_1(esk2_0))&v3_rlvect_1(esk2_0))&v4_rlvect_1(esk2_0))&v5_rlvect_1(esk2_0))&v6_rlvect_1(esk2_0))&v7_rlvect_1(esk2_0))&v8_rlvect_1(esk2_0))&v3_normsp_0(esk2_0))&v4_normsp_0(esk2_0))&v2_normsp_1(esk2_0))&l1_normsp_1(esk2_0))&(m1_subset_1(esk3_0,u1_struct_0(esk1_0))&(m1_subset_1(esk4_0,u1_struct_0(esk2_0))&(m1_subset_1(esk5_0,u1_struct_0(k9_prvect_3(esk1_0,esk2_0)))&(esk5_0=k10_prvect_3(esk1_0,esk2_0,esk3_0,esk4_0)&~r1_xxreal_0(k2_normsp_0(k9_prvect_3(esk1_0,esk2_0),esk5_0),k2_xcmplx_0(k2_normsp_0(esk1_0,esk3_0),k2_normsp_0(esk2_0,esk4_0))))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])).
fof(c_0_13, 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))=>r1_xxreal_0(k5_numbers,k2_normsp_0(X1,X2)))), inference(fof_simplification,[status(thm)],[t4_normsp_1])).
fof(c_0_14, plain, ![X42, X43]:(~v1_xreal_0(X42)|(~v1_xreal_0(X43)|r1_xxreal_0(k3_square_1(k2_xcmplx_0(k1_square_1(X42),k1_square_1(X43))),k2_xcmplx_0(k9_complex1(X42),k9_complex1(X43))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t78_complex1])])])).
cnf(c_0_15, plain, (k2_normsp_0(k9_prvect_3(X1,X2),k10_prvect_3(X1,X2,X3,X4))=k3_square_1(k2_xcmplx_0(k1_square_1(k2_normsp_0(X1,X3)),k1_square_1(k2_normsp_0(X2,X4))))|v2_struct_0(X2)|v2_struct_0(X1)|~m1_subset_1(k10_prvect_3(X1,X2,X3,X4),u1_struct_0(k9_prvect_3(X1,X2)))|~m1_subset_1(X4,u1_struct_0(X2))|~m1_subset_1(X3,u1_struct_0(X1))|~l1_normsp_1(X2)|~l1_normsp_1(X1)|~v2_normsp_1(X2)|~v2_normsp_1(X1)|~v4_normsp_0(X2)|~v4_normsp_0(X1)|~v3_normsp_0(X2)|~v3_normsp_0(X1)|~v8_rlvect_1(X2)|~v8_rlvect_1(X1)|~v7_rlvect_1(X2)|~v7_rlvect_1(X1)|~v6_rlvect_1(X2)|~v6_rlvect_1(X1)|~v5_rlvect_1(X2)|~v5_rlvect_1(X1)|~v4_rlvect_1(X2)|~v4_rlvect_1(X1)|~v3_rlvect_1(X2)|~v3_rlvect_1(X1)|~v2_rlvect_1(X2)|~v2_rlvect_1(X1)|~v13_algstr_0(X2)|~v13_algstr_0(X1)), inference(er,[status(thm)],[c_0_11])).
cnf(c_0_16, negated_conjecture, (esk5_0=k10_prvect_3(esk1_0,esk2_0,esk3_0,esk4_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_17, negated_conjecture, (m1_subset_1(esk5_0,u1_struct_0(k9_prvect_3(esk1_0,esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_18, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_19, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_20, negated_conjecture, (l1_normsp_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_21, negated_conjecture, (l1_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_22, negated_conjecture, (v2_normsp_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_23, negated_conjecture, (v2_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_24, negated_conjecture, (v4_normsp_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_25, negated_conjecture, (v4_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_26, negated_conjecture, (v3_normsp_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_27, negated_conjecture, (v3_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_28, negated_conjecture, (v8_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_29, negated_conjecture, (v8_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_30, negated_conjecture, (v7_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_31, negated_conjecture, (v7_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_32, negated_conjecture, (v6_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_33, negated_conjecture, (v6_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_34, negated_conjecture, (v5_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_35, negated_conjecture, (v5_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_36, negated_conjecture, (v4_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_37, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_38, negated_conjecture, (v3_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_39, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_40, negated_conjecture, (v2_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_41, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_42, negated_conjecture, (v13_algstr_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_43, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_44, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_45, negated_conjecture, (~v2_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
fof(c_0_46, plain, ![X40, X41]:(v2_struct_0(X40)|~v13_algstr_0(X40)|~v2_rlvect_1(X40)|~v3_rlvect_1(X40)|~v4_rlvect_1(X40)|~v5_rlvect_1(X40)|~v6_rlvect_1(X40)|~v7_rlvect_1(X40)|~v8_rlvect_1(X40)|~v3_normsp_0(X40)|~v4_normsp_0(X40)|~v2_normsp_1(X40)|~l1_normsp_1(X40)|(~m1_subset_1(X41,u1_struct_0(X40))|r1_xxreal_0(k5_numbers,k2_normsp_0(X40,X41)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])).
cnf(c_0_47, plain, (r1_xxreal_0(k3_square_1(k2_xcmplx_0(k1_square_1(X1),k1_square_1(X2))),k2_xcmplx_0(k9_complex1(X1),k9_complex1(X2)))|~v1_xreal_0(X1)|~v1_xreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_48, negated_conjecture, (k3_square_1(k2_xcmplx_0(k1_square_1(k2_normsp_0(esk1_0,esk3_0)),k1_square_1(k2_normsp_0(esk2_0,esk4_0))))=k2_normsp_0(k9_prvect_3(esk1_0,esk2_0),esk5_0)), inference(sr,[status(thm)],[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(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_17]), c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43])]), c_0_44]), c_0_45])).
fof(c_0_49, plain, ![X39]:(~v1_xreal_0(X39)|(~r1_xxreal_0(k5_numbers,X39)|k9_complex1(X39)=X39)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t43_complex1])])).
cnf(c_0_50, plain, (v2_struct_0(X1)|r1_xxreal_0(k5_numbers,k2_normsp_0(X1,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))), inference(split_conjunct,[status(thm)],[c_0_46])).
fof(c_0_51, plain, ![X1, X2]:(((~v2_struct_0(X1)&l1_normsp_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>v1_xreal_0(k2_normsp_0(X1,X2))), inference(fof_simplification,[status(thm)],[dt_k2_normsp_0])).
cnf(c_0_52, negated_conjecture, (r1_xxreal_0(k2_normsp_0(k9_prvect_3(esk1_0,esk2_0),esk5_0),k2_xcmplx_0(k9_complex1(k2_normsp_0(esk1_0,esk3_0)),k9_complex1(k2_normsp_0(esk2_0,esk4_0))))|~v1_xreal_0(k2_normsp_0(esk2_0,esk4_0))|~v1_xreal_0(k2_normsp_0(esk1_0,esk3_0))), inference(spm,[status(thm)],[c_0_47, c_0_48])).
cnf(c_0_53, plain, (k9_complex1(X1)=X1|~v1_xreal_0(X1)|~r1_xxreal_0(k5_numbers,X1)), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_54, negated_conjecture, (r1_xxreal_0(k5_numbers,k2_normsp_0(esk2_0,esk4_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_50, c_0_18]), c_0_20]), c_0_22]), c_0_24]), c_0_26]), c_0_28]), c_0_30]), c_0_32]), c_0_34]), c_0_36]), c_0_38]), c_0_40]), c_0_42])]), c_0_45])).
fof(c_0_55, plain, ![X30, X31]:(v2_struct_0(X30)|~l1_normsp_0(X30)|~m1_subset_1(X31,u1_struct_0(X30))|v1_xreal_0(k2_normsp_0(X30,X31))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])).
cnf(c_0_56, negated_conjecture, (r1_xxreal_0(k2_normsp_0(k9_prvect_3(esk1_0,esk2_0),esk5_0),k2_xcmplx_0(k9_complex1(k2_normsp_0(esk1_0,esk3_0)),k2_normsp_0(esk2_0,esk4_0)))|~v1_xreal_0(k2_normsp_0(esk2_0,esk4_0))|~v1_xreal_0(k2_normsp_0(esk1_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_54])])).
cnf(c_0_57, negated_conjecture, (r1_xxreal_0(k5_numbers,k2_normsp_0(esk1_0,esk3_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_50, c_0_19]), c_0_21]), c_0_23]), c_0_25]), c_0_27]), c_0_29]), c_0_31]), c_0_33]), c_0_35]), c_0_37]), c_0_39]), c_0_41]), c_0_43])]), c_0_44])).
cnf(c_0_58, negated_conjecture, (~r1_xxreal_0(k2_normsp_0(k9_prvect_3(esk1_0,esk2_0),esk5_0),k2_xcmplx_0(k2_normsp_0(esk1_0,esk3_0),k2_normsp_0(esk2_0,esk4_0)))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_59, plain, (v2_struct_0(X1)|v1_xreal_0(k2_normsp_0(X1,X2))|~l1_normsp_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_55])).
cnf(c_0_60, negated_conjecture, (~v1_xreal_0(k2_normsp_0(esk2_0,esk4_0))|~v1_xreal_0(k2_normsp_0(esk1_0,esk3_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_53]), c_0_57])]), c_0_58])).
cnf(c_0_61, negated_conjecture, (v1_xreal_0(k2_normsp_0(esk1_0,esk3_0))|~l1_normsp_0(esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_19]), c_0_44])).
cnf(c_0_62, negated_conjecture, (~v1_xreal_0(k2_normsp_0(esk2_0,esk4_0))|~l1_normsp_0(esk1_0)), inference(spm,[status(thm)],[c_0_60, c_0_61])).
cnf(c_0_63, negated_conjecture, (v1_xreal_0(k2_normsp_0(esk2_0,esk4_0))|~l1_normsp_0(esk2_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_18]), c_0_45])).
fof(c_0_64, plain, ![X33]:((l1_normsp_0(X33)|~l2_normsp_0(X33))&(l2_struct_0(X33)|~l2_normsp_0(X33))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_normsp_0])])])).
cnf(c_0_65, negated_conjecture, (~l1_normsp_0(esk1_0)|~l1_normsp_0(esk2_0)), inference(spm,[status(thm)],[c_0_62, c_0_63])).
cnf(c_0_66, plain, (l1_normsp_0(X1)|~l2_normsp_0(X1)), inference(split_conjunct,[status(thm)],[c_0_64])).
cnf(c_0_67, negated_conjecture, (~l2_normsp_0(esk1_0)|~l1_normsp_0(esk2_0)), inference(spm,[status(thm)],[c_0_65, c_0_66])).
fof(c_0_68, plain, ![X32]:((l1_rlvect_1(X32)|~l1_normsp_1(X32))&(l2_normsp_0(X32)|~l1_normsp_1(X32))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_normsp_1])])])).
cnf(c_0_69, negated_conjecture, (~l2_normsp_0(esk1_0)|~l2_normsp_0(esk2_0)), inference(spm,[status(thm)],[c_0_67, c_0_66])).
cnf(c_0_70, plain, (l2_normsp_0(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_68])).
cnf(c_0_71, negated_conjecture, (~l2_normsp_0(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_21])])).
cnf(c_0_72, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_70]), c_0_20])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 73
# Proof object clause steps            : 53
# Proof object formula steps           : 20
# Proof object conjectures             : 48
# Proof object clause conjectures      : 45
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 38
# Proof object initial formulas used   : 8
# Proof object generating inferences   : 14
# Proof object simplifying inferences  : 70
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 8
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 40
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 40
# Processed clauses                    : 100
# ...of these trivial                  : 0
# ...subsumed                          : 1
# ...remaining for further processing  : 99
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 0
# Generated clauses                    : 24
# ...of the previous two non-trivial   : 23
# Contextual simplify-reflections      : 0
# Paramodulations                      : 23
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 1
# 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  : 56
#    Positive orientable unit clauses  : 31
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 21
# Current number of unprocessed clauses: 2
# ...number of literals in the above   : 9
# Current number of archived formulas  : 0
# Current number of archived clauses   : 42
# Clause-clause subsumption calls (NU) : 962
# Rec. Clause-clause subsumption calls : 93
# Non-unit clause-clause subsumptions  : 3
# Unit Clause-clause subsumption calls : 13
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 4432

# -------------------------------------------------
# User time                : 0.026 s
# System time              : 0.004 s
# Total time               : 0.030 s
# Maximum resident set size: 3372 pages
