# 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       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
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__t9_dualsp06', d2_dualsp06)).
fof(dt_k4_algstr_0, axiom, ![X1, X2]:((l2_algstr_0(X1)&m1_subset_1(X2,u1_struct_0(X1)))=>m1_subset_1(k4_algstr_0(X1,X2),u1_struct_0(X1))), file('dualsp06/dualsp06__t9_dualsp06', dt_k4_algstr_0)).
fof(t9_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))=>![X3]:(m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))=>k2_dualsp06(X1,X2,k4_algstr_0(k17_dualsp01(X1),X3))=k4_xcmplx_0(k2_dualsp06(X1,X2,X3))))), file('dualsp06/dualsp06__t9_dualsp06', t9_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__t9_dualsp06', t30_dualsp01)).
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__t9_dualsp06', dt_k17_dualsp01)).
fof(dt_l1_rlvect_1, axiom, ![X1]:(l1_rlvect_1(X1)=>l2_algstr_0(X1)), file('dualsp06/dualsp06__t9_dualsp06', dt_l1_rlvect_1)).
fof(dt_l1_normsp_1, axiom, ![X1]:(l1_normsp_1(X1)=>(l1_rlvect_1(X1)&l2_normsp_0(X1))), file('dualsp06/dualsp06__t9_dualsp06', dt_l1_normsp_1)).
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__t9_dualsp06', commutativity_k3_xcmplx_0)).
fof(cc3_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xcmplx_0(X1)), file('dualsp06/dualsp06__t9_dualsp06', cc3_xreal_0)).
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__t9_dualsp06', dt_k2_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__t9_dualsp06', fc10_dualsp01)).
fof(t16_rlvect_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))&v8_rlvect_1(X1))&l1_rlvect_1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>k4_algstr_0(X1,X2)=k1_rlvect_1(X1,X2,k4_xcmplx_0(np__1)))), file('dualsp06/dualsp06__t9_dualsp06', t16_rlvect_1)).
fof(spc2_arithm, axiom, ![X1]:(v1_xcmplx_0(X1)=>k3_xcmplx_0(X1,k4_xcmplx_0(np__1))=k4_xcmplx_0(X1)), file('dualsp06/dualsp06__t9_dualsp06', spc2_arithm)).
fof(fc3_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>(v1_xcmplx_0(k4_xcmplx_0(X1))&v1_xreal_0(k4_xcmplx_0(X1)))), file('dualsp06/dualsp06__t9_dualsp06', fc3_xreal_0)).
fof(cc2_xreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xreal_0(X1)), file('dualsp06/dualsp06__t9_dualsp06', cc2_xreal_0)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('dualsp06/dualsp06__t9_dualsp06', cc8_ordinal1)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('dualsp06/dualsp06__t9_dualsp06', spc1_numerals)).
fof(c_0_17, 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_18, plain, ![X43, X44, X45]:(v2_struct_0(X43)|~v13_algstr_0(X43)|~v2_rlvect_1(X43)|~v3_rlvect_1(X43)|~v4_rlvect_1(X43)|~v5_rlvect_1(X43)|~v6_rlvect_1(X43)|~v7_rlvect_1(X43)|~v8_rlvect_1(X43)|~v3_normsp_0(X43)|~v4_normsp_0(X43)|~v2_normsp_1(X43)|~l1_normsp_1(X43)|(~m1_subset_1(X44,u1_struct_0(X43))|(~m1_subset_1(X45,u1_struct_0(k17_dualsp01(X43)))|k2_dualsp06(X43,X44,X45)=k18_dualsp01(X43,X45,X44)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])).
fof(c_0_19, plain, ![X50, X51]:(~l2_algstr_0(X50)|~m1_subset_1(X51,u1_struct_0(X50))|m1_subset_1(k4_algstr_0(X50,X51),u1_struct_0(X50))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_algstr_0])])).
fof(c_0_20, 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))=>![X3]:(m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))=>k2_dualsp06(X1,X2,k4_algstr_0(k17_dualsp01(X1),X3))=k4_xcmplx_0(k2_dualsp06(X1,X2,X3)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t9_dualsp06])])).
cnf(c_0_21, 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_18])).
cnf(c_0_22, plain, (m1_subset_1(k4_algstr_0(X1,X2),u1_struct_0(X1))|~l2_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_19])).
fof(c_0_23, 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))&(m1_subset_1(esk3_0,u1_struct_0(k17_dualsp01(esk1_0)))&k2_dualsp06(esk1_0,esk2_0,k4_algstr_0(k17_dualsp01(esk1_0),esk3_0))!=k4_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])).
fof(c_0_24, 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_25, plain, (k2_dualsp06(X1,X2,k4_algstr_0(k17_dualsp01(X1),X3))=k18_dualsp01(X1,k4_algstr_0(k17_dualsp01(X1),X3),X2)|v2_struct_0(X1)|~l2_algstr_0(k17_dualsp01(X1))|~m1_subset_1(X3,u1_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_21, c_0_22])).
cnf(c_0_26, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(k17_dualsp01(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_27, negated_conjecture, (l1_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_28, negated_conjecture, (v2_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_29, negated_conjecture, (v4_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_30, negated_conjecture, (v3_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_31, negated_conjecture, (v8_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_32, negated_conjecture, (v7_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_33, negated_conjecture, (v6_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_34, negated_conjecture, (v5_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_35, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_36, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_37, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_38, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_39, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
fof(c_0_40, plain, ![X59, X60, X61, X62, X63]:((X61!=k1_rlvect_1(k17_dualsp01(X59),X60,X62)|(~m1_subset_1(X63,u1_struct_0(X59))|k18_dualsp01(X59,X61,X63)=k3_xcmplx_0(X62,k18_dualsp01(X59,X60,X63)))|~v1_xreal_0(X62)|~m1_subset_1(X61,u1_struct_0(k17_dualsp01(X59)))|~m1_subset_1(X60,u1_struct_0(k17_dualsp01(X59)))|(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(esk4_4(X59,X60,X61,X62),u1_struct_0(X59))|X61=k1_rlvect_1(k17_dualsp01(X59),X60,X62)|~v1_xreal_0(X62)|~m1_subset_1(X61,u1_struct_0(k17_dualsp01(X59)))|~m1_subset_1(X60,u1_struct_0(k17_dualsp01(X59)))|(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)))&(k18_dualsp01(X59,X61,esk4_4(X59,X60,X61,X62))!=k3_xcmplx_0(X62,k18_dualsp01(X59,X60,esk4_4(X59,X60,X61,X62)))|X61=k1_rlvect_1(k17_dualsp01(X59),X60,X62)|~v1_xreal_0(X62)|~m1_subset_1(X61,u1_struct_0(k17_dualsp01(X59)))|~m1_subset_1(X60,u1_struct_0(k17_dualsp01(X59)))|(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))))), 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_24])])])])])).
cnf(c_0_41, negated_conjecture, (k2_dualsp06(esk1_0,esk2_0,k4_algstr_0(k17_dualsp01(esk1_0),esk3_0))!=k4_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0))), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_42, negated_conjecture, (k2_dualsp06(esk1_0,X1,k4_algstr_0(k17_dualsp01(esk1_0),esk3_0))=k18_dualsp01(esk1_0,k4_algstr_0(k17_dualsp01(esk1_0),esk3_0),X1)|~l2_algstr_0(k17_dualsp01(esk1_0))|~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_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])).
cnf(c_0_43, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_44, 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_40])).
fof(c_0_45, 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])).
cnf(c_0_46, negated_conjecture, (k18_dualsp01(esk1_0,k4_algstr_0(k17_dualsp01(esk1_0),esk3_0),esk2_0)!=k4_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0))|~l2_algstr_0(k17_dualsp01(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_43])])).
cnf(c_0_47, negated_conjecture, (k18_dualsp01(esk1_0,X1,X2)=k3_xcmplx_0(X3,k18_dualsp01(esk1_0,esk3_0,X2))|X1!=k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,X3)|~v1_xreal_0(X3)|~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_44, 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])).
fof(c_0_48, plain, ![X53]:(~l1_rlvect_1(X53)|l2_algstr_0(X53)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_rlvect_1])])).
fof(c_0_49, plain, ![X46]:((~v2_struct_0(k17_dualsp01(X46))|(v2_struct_0(X46)|~v13_algstr_0(X46)|~v2_rlvect_1(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v5_rlvect_1(X46)|~v6_rlvect_1(X46)|~v7_rlvect_1(X46)|~v8_rlvect_1(X46)|~v3_normsp_0(X46)|~v4_normsp_0(X46)|~v2_normsp_1(X46)|~l1_normsp_1(X46)))&(l1_normsp_1(k17_dualsp01(X46))|(v2_struct_0(X46)|~v13_algstr_0(X46)|~v2_rlvect_1(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v5_rlvect_1(X46)|~v6_rlvect_1(X46)|~v7_rlvect_1(X46)|~v8_rlvect_1(X46)|~v3_normsp_0(X46)|~v4_normsp_0(X46)|~v2_normsp_1(X46)|~l1_normsp_1(X46)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])).
cnf(c_0_50, negated_conjecture, (k3_xcmplx_0(X1,k18_dualsp01(esk1_0,esk3_0,esk2_0))!=k4_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0))|k4_algstr_0(k17_dualsp01(esk1_0),esk3_0)!=k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,X1)|~l2_algstr_0(k17_dualsp01(esk1_0))|~v1_xreal_0(X1)|~m1_subset_1(k4_algstr_0(k17_dualsp01(esk1_0),esk3_0),u1_struct_0(k17_dualsp01(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_43])])).
cnf(c_0_51, plain, (l2_algstr_0(X1)|~l1_rlvect_1(X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
fof(c_0_52, 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])])])).
cnf(c_0_53, 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_49])).
cnf(c_0_54, negated_conjecture, (k3_xcmplx_0(X1,k18_dualsp01(esk1_0,esk3_0,esk2_0))!=k4_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0))|k4_algstr_0(k17_dualsp01(esk1_0),esk3_0)!=k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,X1)|~l1_rlvect_1(k17_dualsp01(esk1_0))|~v1_xreal_0(X1)|~m1_subset_1(k4_algstr_0(k17_dualsp01(esk1_0),esk3_0),u1_struct_0(k17_dualsp01(esk1_0)))), inference(spm,[status(thm)],[c_0_50, c_0_51])).
cnf(c_0_55, plain, (l1_rlvect_1(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_56, 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_53, 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])).
cnf(c_0_57, negated_conjecture, (k3_xcmplx_0(X1,k18_dualsp01(esk1_0,esk3_0,esk2_0))!=k4_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0))|k4_algstr_0(k17_dualsp01(esk1_0),esk3_0)!=k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,X1)|~v1_xreal_0(X1)|~m1_subset_1(k4_algstr_0(k17_dualsp01(esk1_0),esk3_0),u1_struct_0(k17_dualsp01(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_56])])).
cnf(c_0_58, negated_conjecture, (k3_xcmplx_0(X1,k18_dualsp01(esk1_0,esk3_0,esk2_0))!=k4_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0))|k4_algstr_0(k17_dualsp01(esk1_0),esk3_0)!=k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,X1)|~l2_algstr_0(k17_dualsp01(esk1_0))|~v1_xreal_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_22]), c_0_26])])).
cnf(c_0_59, negated_conjecture, (k3_xcmplx_0(X1,k18_dualsp01(esk1_0,esk3_0,esk2_0))!=k4_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0))|k4_algstr_0(k17_dualsp01(esk1_0),esk3_0)!=k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,X1)|~l1_rlvect_1(k17_dualsp01(esk1_0))|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_58, c_0_51])).
fof(c_0_60, plain, ![X41, X42]:(~v1_xcmplx_0(X41)|~v1_xcmplx_0(X42)|k3_xcmplx_0(X41,X42)=k3_xcmplx_0(X42,X41)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k3_xcmplx_0])])).
fof(c_0_61, plain, ![X39]:(~v1_xreal_0(X39)|v1_xcmplx_0(X39)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_xreal_0])])).
fof(c_0_62, 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])).
cnf(c_0_63, negated_conjecture, (k3_xcmplx_0(X1,k18_dualsp01(esk1_0,esk3_0,esk2_0))!=k4_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0))|k4_algstr_0(k17_dualsp01(esk1_0),esk3_0)!=k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,X1)|~v1_xreal_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_55]), c_0_56])])).
cnf(c_0_64, 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_60])).
cnf(c_0_65, plain, (v1_xcmplx_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_61])).
fof(c_0_66, 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)))|v1_xreal_0(k2_dualsp06(X47,X48,X49))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])).
fof(c_0_67, 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])).
cnf(c_0_68, negated_conjecture, (k3_xcmplx_0(k18_dualsp01(esk1_0,esk3_0,esk2_0),X1)!=k4_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0))|k4_algstr_0(k17_dualsp01(esk1_0),esk3_0)!=k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,X1)|~v1_xcmplx_0(k18_dualsp01(esk1_0,esk3_0,esk2_0))|~v1_xreal_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_65])).
cnf(c_0_69, 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_66])).
cnf(c_0_70, negated_conjecture, (k2_dualsp06(esk1_0,X1,esk3_0)=k18_dualsp01(esk1_0,esk3_0,X1)|~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_21, 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])).
fof(c_0_71, 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))&v8_rlvect_1(X1))&l1_rlvect_1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>k4_algstr_0(X1,X2)=k1_rlvect_1(X1,X2,k4_xcmplx_0(np__1)))), inference(fof_simplification,[status(thm)],[t16_rlvect_1])).
fof(c_0_72, plain, ![X54]:((((((((((((~v2_struct_0(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54)))&(v13_algstr_0(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54))))&(v2_rlvect_1(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54))))&(v3_rlvect_1(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54))))&(v4_rlvect_1(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54))))&(v5_rlvect_1(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54))))&(v6_rlvect_1(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54))))&(v7_rlvect_1(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54))))&(v8_rlvect_1(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54))))&(v3_normsp_0(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54))))&(v4_normsp_0(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54))))&(v2_normsp_1(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])).
cnf(c_0_73, negated_conjecture, (k3_xcmplx_0(k18_dualsp01(esk1_0,esk3_0,esk2_0),X1)!=k4_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0))|k4_algstr_0(k17_dualsp01(esk1_0),esk3_0)!=k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,X1)|~v1_xreal_0(k18_dualsp01(esk1_0,esk3_0,esk2_0))|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_68, c_0_65])).
cnf(c_0_74, negated_conjecture, (v1_xreal_0(k18_dualsp01(esk1_0,esk3_0,X1))|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), 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])).
fof(c_0_75, plain, ![X56]:(~v1_xcmplx_0(X56)|k3_xcmplx_0(X56,k4_xcmplx_0(np__1))=k4_xcmplx_0(X56)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[spc2_arithm])])).
fof(c_0_76, plain, ![X57, X58]:(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)|~v8_rlvect_1(X57)|~l1_rlvect_1(X57)|(~m1_subset_1(X58,u1_struct_0(X57))|k4_algstr_0(X57,X58)=k1_rlvect_1(X57,X58,k4_xcmplx_0(np__1)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])])).
cnf(c_0_77, 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_72])).
cnf(c_0_78, 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_72])).
cnf(c_0_79, 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_72])).
cnf(c_0_80, 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_72])).
cnf(c_0_81, 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_72])).
cnf(c_0_82, plain, (v2_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_72])).
cnf(c_0_83, 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_72])).
cnf(c_0_84, 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_49])).
cnf(c_0_85, negated_conjecture, (k3_xcmplx_0(k18_dualsp01(esk1_0,esk3_0,esk2_0),X1)!=k4_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0))|k4_algstr_0(k17_dualsp01(esk1_0),esk3_0)!=k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,X1)|~v1_xreal_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_74]), c_0_43])])).
cnf(c_0_86, plain, (k3_xcmplx_0(X1,k4_xcmplx_0(np__1))=k4_xcmplx_0(X1)|~v1_xcmplx_0(X1)), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_87, plain, (v2_struct_0(X1)|k4_algstr_0(X1,X2)=k1_rlvect_1(X1,X2,k4_xcmplx_0(np__1))|~v13_algstr_0(X1)|~v2_rlvect_1(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)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_88, 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_77, 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])).
cnf(c_0_89, 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_78, 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])).
cnf(c_0_90, 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_79, 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])).
cnf(c_0_91, 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_80, 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])).
cnf(c_0_92, 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_81, 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])).
cnf(c_0_93, negated_conjecture, (v2_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_82, 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])).
cnf(c_0_94, 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_83, 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])).
cnf(c_0_95, 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_84, c_0_28]), c_0_27]), 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])).
cnf(c_0_96, negated_conjecture, (k4_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0))!=k4_xcmplx_0(k18_dualsp01(esk1_0,esk3_0,esk2_0))|k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,k4_xcmplx_0(np__1))!=k4_algstr_0(k17_dualsp01(esk1_0),esk3_0)|~v1_xcmplx_0(k18_dualsp01(esk1_0,esk3_0,esk2_0))|~v1_xreal_0(k4_xcmplx_0(np__1))), inference(spm,[status(thm)],[c_0_85, c_0_86])).
cnf(c_0_97, negated_conjecture, (k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,k4_xcmplx_0(np__1))=k4_algstr_0(k17_dualsp01(esk1_0),esk3_0)|~l1_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(spm,[status(thm)],[c_0_87, c_0_26]), c_0_88]), c_0_89]), c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94])]), c_0_95])).
cnf(c_0_98, negated_conjecture, (k4_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0))!=k4_xcmplx_0(k18_dualsp01(esk1_0,esk3_0,esk2_0))|~l1_rlvect_1(k17_dualsp01(esk1_0))|~v1_xcmplx_0(k18_dualsp01(esk1_0,esk3_0,esk2_0))|~v1_xreal_0(k4_xcmplx_0(np__1))), inference(spm,[status(thm)],[c_0_96, c_0_97])).
cnf(c_0_99, negated_conjecture, (k4_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0))!=k4_xcmplx_0(k18_dualsp01(esk1_0,esk3_0,esk2_0))|~l1_rlvect_1(k17_dualsp01(esk1_0))|~v1_xreal_0(k18_dualsp01(esk1_0,esk3_0,esk2_0))|~v1_xreal_0(k4_xcmplx_0(np__1))), inference(spm,[status(thm)],[c_0_98, c_0_65])).
cnf(c_0_100, negated_conjecture, (~l1_rlvect_1(k17_dualsp01(esk1_0))|~v1_xreal_0(k18_dualsp01(esk1_0,esk3_0,esk2_0))|~v1_xreal_0(k4_xcmplx_0(np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_70]), c_0_43])])).
fof(c_0_101, plain, ![X55]:((v1_xcmplx_0(k4_xcmplx_0(X55))|~v1_xreal_0(X55))&(v1_xreal_0(k4_xcmplx_0(X55))|~v1_xreal_0(X55))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_xreal_0])])])).
cnf(c_0_102, negated_conjecture, (~l1_rlvect_1(k17_dualsp01(esk1_0))|~v1_xreal_0(k4_xcmplx_0(np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_74]), c_0_43])])).
cnf(c_0_103, plain, (v1_xreal_0(k4_xcmplx_0(X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_101])).
fof(c_0_104, plain, ![X38]:(~v7_ordinal1(X38)|v1_xreal_0(X38)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xreal_0])])).
fof(c_0_105, plain, ![X40]:(~m1_subset_1(X40,k4_ordinal1)|v7_ordinal1(X40)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
cnf(c_0_106, negated_conjecture, (~l1_rlvect_1(k17_dualsp01(esk1_0))|~v1_xreal_0(np__1)), inference(spm,[status(thm)],[c_0_102, c_0_103])).
cnf(c_0_107, plain, (v1_xreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_104])).
cnf(c_0_108, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_105])).
cnf(c_0_109, negated_conjecture, (~v1_xreal_0(np__1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_55]), c_0_56])])).
cnf(c_0_110, plain, (v1_xreal_0(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(spm,[status(thm)],[c_0_107, c_0_108])).
cnf(c_0_111, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_112, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_110]), c_0_111])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 113
# Proof object clause steps            : 73
# Proof object formula steps           : 40
# Proof object conjectures             : 51
# Proof object clause conjectures      : 48
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 39
# Proof object initial formulas used   : 17
# Proof object generating inferences   : 34
# Proof object simplifying inferences  : 204
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 17
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 49
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 49
# Processed clauses                    : 344
# ...of these trivial                  : 0
# ...subsumed                          : 11
# ...remaining for further processing  : 333
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 11
# Backward-rewritten                   : 80
# Generated clauses                    : 252
# ...of the previous two non-trivial   : 331
# Contextual simplify-reflections      : 2
# Paramodulations                      : 250
# 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  : 194
#    Positive orientable unit clauses  : 104
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 11
#    Non-unit-clauses                  : 79
# Current number of unprocessed clauses: 81
# ...number of literals in the above   : 466
# Current number of archived formulas  : 0
# Current number of archived clauses   : 139
# Clause-clause subsumption calls (NU) : 10279
# Rec. Clause-clause subsumption calls : 2109
# Non-unit clause-clause subsumptions  : 24
# Unit Clause-clause subsumption calls : 1000
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 218
# BW rewrite match successes           : 10
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 23756

# -------------------------------------------------
# User time                : 0.035 s
# System time              : 0.005 s
# Total time               : 0.040 s
# Maximum resident set size: 3392 pages
