# 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       : 0.028 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(dt_k1_rlvect_1, axiom, ![X1, X2, X3]:((((~(v2_struct_0(X1))&l1_rlvect_1(X1))&m1_subset_1(X2,u1_struct_0(X1)))&v1_xreal_0(X3))=>m1_subset_1(k1_rlvect_1(X1,X2,X3),u1_struct_0(X1))), file('dualsp06/dualsp06__t4_dualsp06', dt_k1_rlvect_1)).
fof(t4_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)))=>![X4]:(v1_xreal_0(X4)=>k2_dualsp06(X1,X2,k1_rlvect_1(k17_dualsp01(X1),X3,X4))=k3_xcmplx_0(X4,k2_dualsp06(X1,X2,X3)))))), file('dualsp06/dualsp06__t4_dualsp06', t4_dualsp06)).
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__t4_dualsp06', dt_k17_dualsp01)).
fof(dt_l1_normsp_1, axiom, ![X1]:(l1_normsp_1(X1)=>(l1_rlvect_1(X1)&l2_normsp_0(X1))), file('dualsp06/dualsp06__t4_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__t4_dualsp06', d2_dualsp06)).
fof(t30_dualsp01, axiom, ![X1]:(((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k17_dualsp01(X1)))=>![X3]:(m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))=>![X4]:(v1_xreal_0(X4)=>(X3=k1_rlvect_1(k17_dualsp01(X1),X2,X4)<=>![X5]:(m1_subset_1(X5,u1_struct_0(X1))=>k18_dualsp01(X1,X3,X5)=k3_xcmplx_0(X4,k18_dualsp01(X1,X2,X5)))))))), file('dualsp06/dualsp06__t4_dualsp06', t30_dualsp01)).
fof(c_0_6, plain, ![X1, X2, X3]:((((~v2_struct_0(X1)&l1_rlvect_1(X1))&m1_subset_1(X2,u1_struct_0(X1)))&v1_xreal_0(X3))=>m1_subset_1(k1_rlvect_1(X1,X2,X3),u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[dt_k1_rlvect_1])).
fof(c_0_7, 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)))=>![X4]:(v1_xreal_0(X4)=>k2_dualsp06(X1,X2,k1_rlvect_1(k17_dualsp01(X1),X3,X4))=k3_xcmplx_0(X4,k2_dualsp06(X1,X2,X3))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t4_dualsp06])])).
fof(c_0_8, plain, ![X28, X29, X30]:(v2_struct_0(X28)|~l1_rlvect_1(X28)|~m1_subset_1(X29,u1_struct_0(X28))|~v1_xreal_0(X30)|m1_subset_1(k1_rlvect_1(X28,X29,X30),u1_struct_0(X28))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])).
fof(c_0_9, 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)))&(v1_xreal_0(esk4_0)&k2_dualsp06(esk1_0,esk2_0,k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,esk4_0))!=k3_xcmplx_0(esk4_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_7])])])).
fof(c_0_10, 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_11, plain, (v2_struct_0(X1)|m1_subset_1(k1_rlvect_1(X1,X2,X3),u1_struct_0(X1))|~l1_rlvect_1(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~v1_xreal_0(X3)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_12, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(k17_dualsp01(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_9])).
fof(c_0_13, plain, ![X31]:((l1_rlvect_1(X31)|~l1_normsp_1(X31))&(l2_normsp_0(X31)|~l1_normsp_1(X31))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_normsp_1])])])).
fof(c_0_14, plain, ![X27]:((~v2_struct_0(k17_dualsp01(X27))|(v2_struct_0(X27)|~v13_algstr_0(X27)|~v2_rlvect_1(X27)|~v3_rlvect_1(X27)|~v4_rlvect_1(X27)|~v5_rlvect_1(X27)|~v6_rlvect_1(X27)|~v7_rlvect_1(X27)|~v8_rlvect_1(X27)|~v3_normsp_0(X27)|~v4_normsp_0(X27)|~v2_normsp_1(X27)|~l1_normsp_1(X27)))&(l1_normsp_1(k17_dualsp01(X27))|(v2_struct_0(X27)|~v13_algstr_0(X27)|~v2_rlvect_1(X27)|~v3_rlvect_1(X27)|~v4_rlvect_1(X27)|~v5_rlvect_1(X27)|~v6_rlvect_1(X27)|~v7_rlvect_1(X27)|~v8_rlvect_1(X27)|~v3_normsp_0(X27)|~v4_normsp_0(X27)|~v2_normsp_1(X27)|~l1_normsp_1(X27)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])).
cnf(c_0_15, negated_conjecture, (m1_subset_1(k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,X1),u1_struct_0(k17_dualsp01(esk1_0)))|v2_struct_0(k17_dualsp01(esk1_0))|~l1_rlvect_1(k17_dualsp01(esk1_0))|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_11, c_0_12])).
cnf(c_0_16, plain, (l1_rlvect_1(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_17, 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_14])).
cnf(c_0_18, negated_conjecture, (l1_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_19, negated_conjecture, (v2_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_20, negated_conjecture, (v4_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_21, negated_conjecture, (v3_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_22, negated_conjecture, (v8_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_23, negated_conjecture, (v7_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_24, negated_conjecture, (v6_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_25, negated_conjecture, (v5_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_26, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_27, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_28, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_29, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_30, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
fof(c_0_31, 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])).
cnf(c_0_32, negated_conjecture, (m1_subset_1(k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,X1),u1_struct_0(k17_dualsp01(esk1_0)))|v2_struct_0(k17_dualsp01(esk1_0))|~v1_xreal_0(X1)|~l1_normsp_1(k17_dualsp01(esk1_0))), inference(spm,[status(thm)],[c_0_15, c_0_16])).
cnf(c_0_33, 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_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])).
fof(c_0_34, plain, ![X32, X33, X34]:(v2_struct_0(X32)|~v13_algstr_0(X32)|~v2_rlvect_1(X32)|~v3_rlvect_1(X32)|~v4_rlvect_1(X32)|~v5_rlvect_1(X32)|~v6_rlvect_1(X32)|~v7_rlvect_1(X32)|~v8_rlvect_1(X32)|~v3_normsp_0(X32)|~v4_normsp_0(X32)|~v2_normsp_1(X32)|~l1_normsp_1(X32)|(~m1_subset_1(X33,u1_struct_0(X32))|(~m1_subset_1(X34,u1_struct_0(k17_dualsp01(X32)))|k2_dualsp06(X32,X33,X34)=k18_dualsp01(X32,X34,X33)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])).
cnf(c_0_35, negated_conjecture, (m1_subset_1(k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,X1),u1_struct_0(k17_dualsp01(esk1_0)))|v2_struct_0(k17_dualsp01(esk1_0))|~v1_xreal_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_33])])).
cnf(c_0_36, negated_conjecture, (v1_xreal_0(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_37, 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_34])).
cnf(c_0_38, negated_conjecture, (m1_subset_1(k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,esk4_0),u1_struct_0(k17_dualsp01(esk1_0)))|v2_struct_0(k17_dualsp01(esk1_0))), inference(spm,[status(thm)],[c_0_35, c_0_36])).
fof(c_0_39, 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_40, negated_conjecture, (k2_dualsp06(esk1_0,X1,k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,esk4_0))=k18_dualsp01(esk1_0,k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,esk4_0),X1)|v2_struct_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_37, c_0_38]), 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])).
cnf(c_0_41, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_9])).
fof(c_0_42, plain, ![X35, X36, X37, X38, X39]:((X37!=k1_rlvect_1(k17_dualsp01(X35),X36,X38)|(~m1_subset_1(X39,u1_struct_0(X35))|k18_dualsp01(X35,X37,X39)=k3_xcmplx_0(X38,k18_dualsp01(X35,X36,X39)))|~v1_xreal_0(X38)|~m1_subset_1(X37,u1_struct_0(k17_dualsp01(X35)))|~m1_subset_1(X36,u1_struct_0(k17_dualsp01(X35)))|(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(esk5_4(X35,X36,X37,X38),u1_struct_0(X35))|X37=k1_rlvect_1(k17_dualsp01(X35),X36,X38)|~v1_xreal_0(X38)|~m1_subset_1(X37,u1_struct_0(k17_dualsp01(X35)))|~m1_subset_1(X36,u1_struct_0(k17_dualsp01(X35)))|(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)))&(k18_dualsp01(X35,X37,esk5_4(X35,X36,X37,X38))!=k3_xcmplx_0(X38,k18_dualsp01(X35,X36,esk5_4(X35,X36,X37,X38)))|X37=k1_rlvect_1(k17_dualsp01(X35),X36,X38)|~v1_xreal_0(X38)|~m1_subset_1(X37,u1_struct_0(k17_dualsp01(X35)))|~m1_subset_1(X36,u1_struct_0(k17_dualsp01(X35)))|(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))))), 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_39])])])])])).
cnf(c_0_43, negated_conjecture, (k2_dualsp06(esk1_0,esk2_0,k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,esk4_0))!=k3_xcmplx_0(esk4_0,k2_dualsp06(esk1_0,esk2_0,esk3_0))), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_44, negated_conjecture, (k2_dualsp06(esk1_0,esk2_0,k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,esk4_0))=k18_dualsp01(esk1_0,k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,esk4_0),esk2_0)|v2_struct_0(k17_dualsp01(esk1_0))), inference(spm,[status(thm)],[c_0_40, c_0_41])).
cnf(c_0_45, 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_42])).
cnf(c_0_46, negated_conjecture, (v2_struct_0(k17_dualsp01(esk1_0))|k18_dualsp01(esk1_0,k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,esk4_0),esk2_0)!=k3_xcmplx_0(esk4_0,k2_dualsp06(esk1_0,esk2_0,esk3_0))), inference(spm,[status(thm)],[c_0_43, c_0_44])).
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_45, c_0_12]), 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])).
cnf(c_0_48, negated_conjecture, (v2_struct_0(k17_dualsp01(esk1_0))|k3_xcmplx_0(X1,k18_dualsp01(esk1_0,esk3_0,esk2_0))!=k3_xcmplx_0(esk4_0,k2_dualsp06(esk1_0,esk2_0,esk3_0))|k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,esk4_0)!=k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,X1)|~v1_xreal_0(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_41])]), c_0_38])).
cnf(c_0_49, 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_37, c_0_12]), 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])).
cnf(c_0_50, negated_conjecture, (v2_struct_0(k17_dualsp01(esk1_0))|k3_xcmplx_0(X1,k18_dualsp01(esk1_0,esk3_0,esk2_0))!=k3_xcmplx_0(esk4_0,k18_dualsp01(esk1_0,esk3_0,esk2_0))|k1_rlvect_1(k17_dualsp01(esk1_0),esk3_0,esk4_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_48, c_0_49]), c_0_41])])).
cnf(c_0_51, 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_14])).
cnf(c_0_52, negated_conjecture, (v2_struct_0(k17_dualsp01(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_50]), c_0_36])])).
cnf(c_0_53, negated_conjecture, ($false), 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_51, c_0_52]), 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]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 54
# Proof object clause steps            : 37
# Proof object formula steps           : 17
# Proof object conjectures             : 34
# Proof object clause conjectures      : 31
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 23
# Proof object initial formulas used   : 6
# Proof object generating inferences   : 13
# Proof object simplifying inferences  : 78
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 6
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 26
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 26
# Processed clauses                    : 88
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 88
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 8
# Backward-rewritten                   : 15
# Generated clauses                    : 70
# ...of the previous two non-trivial   : 70
# Contextual simplify-reflections      : 1
# Paramodulations                      : 68
# 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  : 39
#    Positive orientable unit clauses  : 17
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 20
# Current number of unprocessed clauses: 34
# ...number of literals in the above   : 182
# Current number of archived formulas  : 0
# Current number of archived clauses   : 49
# Clause-clause subsumption calls (NU) : 1073
# Rec. Clause-clause subsumption calls : 223
# Non-unit clause-clause subsumptions  : 7
# Unit Clause-clause subsumption calls : 15
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 7120

# -------------------------------------------------
# User time                : 0.029 s
# System time              : 0.008 s
# Total time               : 0.037 s
# Maximum resident set size: 3536 pages
