# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
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__t15_dualsp06', rd3_rlvect_1)).
fof(dt_k18_dualsp01, 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(k17_dualsp01(X1))))&m1_subset_1(X3,u1_struct_0(X1)))=>m1_subset_1(k18_dualsp01(X1,X2,X3),k1_numbers)), file('dualsp06/dualsp06__t15_dualsp06', dt_k18_dualsp01)).
fof(t15_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(k17_dualsp01(X1)))=>k2_dualsp06(X1,k4_struct_0(X1),X2)=k5_numbers)), file('dualsp06/dualsp06__t15_dualsp06', t15_dualsp06)).
fof(t6_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)))=>![X4]:(v1_xreal_0(X4)=>k2_dualsp06(X1,k1_rlvect_1(X1,X2,X4),X3)=k3_xcmplx_0(X4,k2_dualsp06(X1,X2,X3)))))), file('dualsp06/dualsp06__t15_dualsp06', t6_dualsp06)).
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__t15_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__t15_dualsp06', fc10_struct_0)).
fof(dt_l1_normsp_1, axiom, ![X1]:(l1_normsp_1(X1)=>(l1_rlvect_1(X1)&l2_normsp_0(X1))), file('dualsp06/dualsp06__t15_dualsp06', dt_l1_normsp_1)).
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__t15_dualsp06', d2_dualsp06)).
fof(cc2_xcmplx_0, axiom, ![X1]:(m1_subset_1(X1,k1_numbers)=>v1_xcmplx_0(X1)), file('dualsp06/dualsp06__t15_dualsp06', cc2_xcmplx_0)).
fof(dt_l2_normsp_0, axiom, ![X1]:(l2_normsp_0(X1)=>(l1_normsp_0(X1)&l2_struct_0(X1))), file('dualsp06/dualsp06__t15_dualsp06', dt_l2_normsp_0)).
fof(t2_arithm, axiom, ![X1]:(v1_xcmplx_0(X1)=>k3_xcmplx_0(X1,k5_numbers)=k5_numbers), file('dualsp06/dualsp06__t15_dualsp06', t2_arithm)).
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__t15_dualsp06', commutativity_k3_xcmplx_0)).
fof(cc3_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xcmplx_0(X1)), file('dualsp06/dualsp06__t15_dualsp06', cc3_xreal_0)).
fof(cc8_membered, axiom, ![X1]:(v3_membered(X1)=>![X2]:(m1_subset_1(X2,X1)=>v1_xreal_0(X2))), file('dualsp06/dualsp06__t15_dualsp06', cc8_membered)).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers,k4_ordinal1), file('dualsp06/dualsp06__t15_dualsp06', dt_k5_numbers)).
fof(cc3_membered, axiom, ![X1]:(v4_membered(X1)=>v3_membered(X1)), file('dualsp06/dualsp06__t15_dualsp06', cc3_membered)).
fof(cc2_membered, axiom, ![X1]:(v5_membered(X1)=>v4_membered(X1)), file('dualsp06/dualsp06__t15_dualsp06', cc2_membered)).
fof(cc1_membered, axiom, ![X1]:(v6_membered(X1)=>v5_membered(X1)), file('dualsp06/dualsp06__t15_dualsp06', cc1_membered)).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1), file('dualsp06/dualsp06__t15_dualsp06', fc6_membered)).
fof(c_0_19, 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_20, 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(k17_dualsp01(X1))))&m1_subset_1(X3,u1_struct_0(X1)))=>m1_subset_1(k18_dualsp01(X1,X2,X3),k1_numbers)), inference(fof_simplification,[status(thm)],[dt_k18_dualsp01])).
fof(c_0_21, 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(k17_dualsp01(X1)))=>k2_dualsp06(X1,k4_struct_0(X1),X2)=k5_numbers))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t15_dualsp06])])).
fof(c_0_22, 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)))=>![X4]:(v1_xreal_0(X4)=>k2_dualsp06(X1,k1_rlvect_1(X1,X2,X4),X3)=k3_xcmplx_0(X4,k2_dualsp06(X1,X2,X3)))))), inference(fof_simplification,[status(thm)],[t6_dualsp06])).
fof(c_0_23, plain, ![X55, X56, X57]:(v2_struct_0(X55)|~v13_algstr_0(X55)|~v3_rlvect_1(X55)|~v4_rlvect_1(X55)|~v5_rlvect_1(X55)|~v6_rlvect_1(X55)|~v8_rlvect_1(X55)|~l1_rlvect_1(X55)|~v9_struct_0(X56,X55)|~m1_subset_1(X56,u1_struct_0(X55))|~v1_xreal_0(X57)|k1_rlvect_1(X55,X56,X57)=X56), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])).
fof(c_0_24, plain, ![X51]:(~l2_struct_0(X51)|m1_subset_1(k4_struct_0(X51),u1_struct_0(X51))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_struct_0])])).
fof(c_0_25, plain, ![X54]:(~l2_struct_0(X54)|v9_struct_0(k4_struct_0(X54),X54)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_struct_0])])).
fof(c_0_26, plain, ![X48, X49, X50]:(v2_struct_0(X48)|~v13_algstr_0(X48)|~v2_rlvect_1(X48)|~v3_rlvect_1(X48)|~v4_rlvect_1(X48)|~v5_rlvect_1(X48)|~v6_rlvect_1(X48)|~v7_rlvect_1(X48)|~v8_rlvect_1(X48)|~v3_normsp_0(X48)|~v4_normsp_0(X48)|~v2_normsp_1(X48)|~l1_normsp_1(X48)|~m1_subset_1(X49,u1_struct_0(k17_dualsp01(X48)))|~m1_subset_1(X50,u1_struct_0(X48))|m1_subset_1(k18_dualsp01(X48,X49,X50),k1_numbers)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])).
fof(c_0_27, 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(k17_dualsp01(esk1_0)))&k2_dualsp06(esk1_0,k4_struct_0(esk1_0),esk2_0)!=k5_numbers)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])).
fof(c_0_28, plain, ![X59, X60, X61, X62]:(v2_struct_0(X59)|~v13_algstr_0(X59)|~v2_rlvect_1(X59)|~v3_rlvect_1(X59)|~v4_rlvect_1(X59)|~v5_rlvect_1(X59)|~v6_rlvect_1(X59)|~v7_rlvect_1(X59)|~v8_rlvect_1(X59)|~v3_normsp_0(X59)|~v4_normsp_0(X59)|~v2_normsp_1(X59)|~l1_normsp_1(X59)|(~m1_subset_1(X60,u1_struct_0(X59))|(~m1_subset_1(X61,u1_struct_0(k17_dualsp01(X59)))|(~v1_xreal_0(X62)|k2_dualsp06(X59,k1_rlvect_1(X59,X60,X62),X61)=k3_xcmplx_0(X62,k2_dualsp06(X59,X60,X61)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])).
cnf(c_0_29, 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_23])).
cnf(c_0_30, plain, (m1_subset_1(k4_struct_0(X1),u1_struct_0(X1))|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_31, plain, (v9_struct_0(k4_struct_0(X1),X1)|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_32, plain, ![X52]:((l1_rlvect_1(X52)|~l1_normsp_1(X52))&(l2_normsp_0(X52)|~l1_normsp_1(X52))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_normsp_1])])])).
fof(c_0_33, 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_34, plain, ![X38]:(~m1_subset_1(X38,k1_numbers)|v1_xcmplx_0(X38)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xcmplx_0])])).
cnf(c_0_35, plain, (v2_struct_0(X1)|m1_subset_1(k18_dualsp01(X1,X2,X3),k1_numbers)|~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(k17_dualsp01(X1)))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_36, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k17_dualsp01(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_37, negated_conjecture, (l1_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_38, negated_conjecture, (v2_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_39, negated_conjecture, (v4_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_40, negated_conjecture, (v3_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_41, negated_conjecture, (v8_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_42, negated_conjecture, (v7_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_43, negated_conjecture, (v6_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_44, negated_conjecture, (v5_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_45, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_46, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_47, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_48, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_49, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_50, plain, (v2_struct_0(X1)|k2_dualsp06(X1,k1_rlvect_1(X1,X2,X4),X3)=k3_xcmplx_0(X4,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)))|~v1_xreal_0(X4)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_51, 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_29, c_0_30]), c_0_31])).
cnf(c_0_52, plain, (l1_rlvect_1(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
fof(c_0_53, plain, ![X45, X46, X47]:(v2_struct_0(X45)|~v13_algstr_0(X45)|~v2_rlvect_1(X45)|~v3_rlvect_1(X45)|~v4_rlvect_1(X45)|~v5_rlvect_1(X45)|~v6_rlvect_1(X45)|~v7_rlvect_1(X45)|~v8_rlvect_1(X45)|~v3_normsp_0(X45)|~v4_normsp_0(X45)|~v2_normsp_1(X45)|~l1_normsp_1(X45)|(~m1_subset_1(X46,u1_struct_0(X45))|(~m1_subset_1(X47,u1_struct_0(k17_dualsp01(X45)))|k2_dualsp06(X45,X46,X47)=k18_dualsp01(X45,X47,X46)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])).
fof(c_0_54, plain, ![X53]:((l1_normsp_0(X53)|~l2_normsp_0(X53))&(l2_struct_0(X53)|~l2_normsp_0(X53))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_normsp_0])])])).
cnf(c_0_55, plain, (l2_normsp_0(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_56, plain, (v1_xcmplx_0(X1)|~m1_subset_1(X1,k1_numbers)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_57, negated_conjecture, (m1_subset_1(k18_dualsp01(esk1_0,esk2_0,X1),k1_numbers)|~m1_subset_1(X1,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_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]), c_0_46]), c_0_47]), c_0_48])]), c_0_49])).
fof(c_0_58, plain, ![X58]:(~v1_xcmplx_0(X58)|k3_xcmplx_0(X58,k5_numbers)=k5_numbers), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_arithm])])).
fof(c_0_59, plain, ![X43, X44]:(~v1_xcmplx_0(X43)|~v1_xcmplx_0(X44)|k3_xcmplx_0(X43,X44)=k3_xcmplx_0(X44,X43)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k3_xcmplx_0])])).
cnf(c_0_60, plain, (k3_xcmplx_0(X1,k2_dualsp06(X2,k4_struct_0(X2),X3))=k2_dualsp06(X2,k4_struct_0(X2),X3)|v2_struct_0(X2)|~l2_struct_0(X2)|~v1_xreal_0(X1)|~m1_subset_1(X3,u1_struct_0(k17_dualsp01(X2)))|~l1_normsp_1(X2)|~v2_normsp_1(X2)|~v4_normsp_0(X2)|~v3_normsp_0(X2)|~v8_rlvect_1(X2)|~v7_rlvect_1(X2)|~v6_rlvect_1(X2)|~v5_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v13_algstr_0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_30]), c_0_52])).
cnf(c_0_61, 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_53])).
cnf(c_0_62, plain, (l2_struct_0(X1)|~l2_normsp_0(X1)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_63, negated_conjecture, (l2_normsp_0(esk1_0)), inference(spm,[status(thm)],[c_0_55, c_0_37])).
cnf(c_0_64, negated_conjecture, (v1_xcmplx_0(k18_dualsp01(esk1_0,esk2_0,X1))|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_56, c_0_57])).
cnf(c_0_65, plain, (k3_xcmplx_0(X1,k5_numbers)=k5_numbers|~v1_xcmplx_0(X1)), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_66, 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_59])).
cnf(c_0_67, plain, (k3_xcmplx_0(X1,k18_dualsp01(X2,X3,k4_struct_0(X2)))=k18_dualsp01(X2,X3,k4_struct_0(X2))|v2_struct_0(X2)|~l2_struct_0(X2)|~v1_xreal_0(X1)|~m1_subset_1(X3,u1_struct_0(k17_dualsp01(X2)))|~l1_normsp_1(X2)|~v2_normsp_1(X2)|~v4_normsp_0(X2)|~v3_normsp_0(X2)|~v8_rlvect_1(X2)|~v7_rlvect_1(X2)|~v6_rlvect_1(X2)|~v5_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v13_algstr_0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_30])).
cnf(c_0_68, negated_conjecture, (l2_struct_0(esk1_0)), inference(spm,[status(thm)],[c_0_62, c_0_63])).
cnf(c_0_69, negated_conjecture, (v1_xcmplx_0(k18_dualsp01(esk1_0,esk2_0,k4_struct_0(esk1_0)))|~l2_struct_0(esk1_0)), inference(spm,[status(thm)],[c_0_64, c_0_30])).
fof(c_0_70, plain, ![X40]:(~v1_xreal_0(X40)|v1_xcmplx_0(X40)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_xreal_0])])).
cnf(c_0_71, negated_conjecture, (k2_dualsp06(esk1_0,k4_struct_0(esk1_0),esk2_0)!=k5_numbers), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_72, plain, (k3_xcmplx_0(k5_numbers,X1)=k5_numbers|~v1_xcmplx_0(k5_numbers)|~v1_xcmplx_0(X1)), inference(spm,[status(thm)],[c_0_65, c_0_66])).
cnf(c_0_73, negated_conjecture, (k3_xcmplx_0(X1,k18_dualsp01(esk1_0,esk2_0,k4_struct_0(esk1_0)))=k18_dualsp01(esk1_0,esk2_0,k4_struct_0(esk1_0))|~v1_xreal_0(X1)), 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_67, c_0_36]), c_0_68]), 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]), c_0_46]), c_0_47]), c_0_48])]), c_0_49])).
cnf(c_0_74, negated_conjecture, (v1_xcmplx_0(k18_dualsp01(esk1_0,esk2_0,k4_struct_0(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69, c_0_68])])).
cnf(c_0_75, plain, (v1_xcmplx_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_70])).
cnf(c_0_76, negated_conjecture, (k18_dualsp01(esk1_0,esk2_0,k4_struct_0(esk1_0))!=k5_numbers|~m1_subset_1(k4_struct_0(esk1_0),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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_61]), 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]), c_0_46]), c_0_47]), c_0_48])]), c_0_49])).
cnf(c_0_77, negated_conjecture, (k18_dualsp01(esk1_0,esk2_0,k4_struct_0(esk1_0))=k5_numbers|~v1_xreal_0(k5_numbers)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_74])]), c_0_75])).
fof(c_0_78, plain, ![X41, X42]:(~v3_membered(X41)|(~m1_subset_1(X42,X41)|v1_xreal_0(X42))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_membered])])])).
cnf(c_0_79, negated_conjecture, (~v1_xreal_0(k5_numbers)|~m1_subset_1(k4_struct_0(esk1_0),u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_76, c_0_77])).
cnf(c_0_80, plain, (v1_xreal_0(X2)|~v3_membered(X1)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_78])).
cnf(c_0_81, plain, (m1_subset_1(k5_numbers,k4_ordinal1)), inference(split_conjunct,[status(thm)],[dt_k5_numbers])).
cnf(c_0_82, negated_conjecture, (~v1_xreal_0(k5_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_30]), c_0_68])])).
cnf(c_0_83, plain, (v1_xreal_0(k5_numbers)|~v3_membered(k4_ordinal1)), inference(spm,[status(thm)],[c_0_80, c_0_81])).
fof(c_0_84, plain, ![X39]:(~v4_membered(X39)|v3_membered(X39)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_membered])])).
cnf(c_0_85, negated_conjecture, (~v3_membered(k4_ordinal1)), inference(spm,[status(thm)],[c_0_82, c_0_83])).
cnf(c_0_86, plain, (v3_membered(X1)|~v4_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_84])).
fof(c_0_87, plain, ![X37]:(~v5_membered(X37)|v4_membered(X37)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_membered])])).
cnf(c_0_88, negated_conjecture, (~v4_membered(k4_ordinal1)), inference(spm,[status(thm)],[c_0_85, c_0_86])).
cnf(c_0_89, plain, (v4_membered(X1)|~v5_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_87])).
fof(c_0_90, plain, ![X36]:(~v6_membered(X36)|v5_membered(X36)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_membered])])).
cnf(c_0_91, negated_conjecture, (~v5_membered(k4_ordinal1)), inference(spm,[status(thm)],[c_0_88, c_0_89])).
cnf(c_0_92, plain, (v5_membered(X1)|~v6_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_90])).
cnf(c_0_93, plain, (v6_membered(k4_ordinal1)), inference(split_conjunct,[status(thm)],[fc6_membered])).
cnf(c_0_94, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_93])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 95
# Proof object clause steps            : 54
# Proof object formula steps           : 41
# Proof object conjectures             : 33
# Proof object clause conjectures      : 30
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 34
# Proof object initial formulas used   : 19
# Proof object generating inferences   : 19
# Proof object simplifying inferences  : 57
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 19
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 35
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 35
# Processed clauses                    : 120
# ...of these trivial                  : 0
# ...subsumed                          : 8
# ...remaining for further processing  : 112
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 1
# Generated clauses                    : 73
# ...of the previous two non-trivial   : 71
# Contextual simplify-reflections      : 10
# Paramodulations                      : 73
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 0
# 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  : 76
#    Positive orientable unit clauses  : 19
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 6
#    Non-unit-clauses                  : 51
# Current number of unprocessed clauses: 21
# ...number of literals in the above   : 342
# Current number of archived formulas  : 0
# Current number of archived clauses   : 36
# Clause-clause subsumption calls (NU) : 4842
# Rec. Clause-clause subsumption calls : 145
# Non-unit clause-clause subsumptions  : 18
# Unit Clause-clause subsumption calls : 88
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 7522

# -------------------------------------------------
# User time                : 0.031 s
# System time              : 0.000 s
# Total time               : 0.031 s
# Maximum resident set size: 3468 pages
