# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S064I
# and selection function SelectComplexG.
#
# Preprocessing time       : 0.029 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
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__t10_dualsp06', dt_k2_dualsp06)).
fof(t10_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,k4_algstr_0(X1,X2),X3)=k4_xcmplx_0(k2_dualsp06(X1,X2,X3))))), file('dualsp06/dualsp06__t10_dualsp06', t10_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__t10_dualsp06', t6_dualsp06)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('dualsp06/dualsp06__t10_dualsp06', cc8_ordinal1)).
fof(cc2_xreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xreal_0(X1)), file('dualsp06/dualsp06__t10_dualsp06', cc2_xreal_0)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('dualsp06/dualsp06__t10_dualsp06', spc1_numerals)).
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__t10_dualsp06', t16_rlvect_1)).
fof(dt_l1_normsp_1, axiom, ![X1]:(l1_normsp_1(X1)=>(l1_rlvect_1(X1)&l2_normsp_0(X1))), file('dualsp06/dualsp06__t10_dualsp06', dt_l1_normsp_1)).
fof(cc3_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xcmplx_0(X1)), file('dualsp06/dualsp06__t10_dualsp06', cc3_xreal_0)).
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__t10_dualsp06', fc3_xreal_0)).
fof(commutativity_k3_xcmplx_0, axiom, ![X1, X2]:((v1_xcmplx_0(X1)&v1_xcmplx_0(X2))=>k3_xcmplx_0(X1,X2)=k3_xcmplx_0(X2,X1)), file('dualsp06/dualsp06__t10_dualsp06', commutativity_k3_xcmplx_0)).
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__t10_dualsp06', spc2_arithm)).
fof(c_0_12, plain, ![X1, X2, X3]:(((((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1))))=>v1_xreal_0(k2_dualsp06(X1,X2,X3))), inference(fof_simplification,[status(thm)],[dt_k2_dualsp06])).
fof(c_0_13, 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,k4_algstr_0(X1,X2),X3)=k4_xcmplx_0(k2_dualsp06(X1,X2,X3)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t10_dualsp06])])).
fof(c_0_14, plain, ![X33, X34, X35]:(v2_struct_0(X33)|~v13_algstr_0(X33)|~v2_rlvect_1(X33)|~v3_rlvect_1(X33)|~v4_rlvect_1(X33)|~v5_rlvect_1(X33)|~v6_rlvect_1(X33)|~v7_rlvect_1(X33)|~v8_rlvect_1(X33)|~v3_normsp_0(X33)|~v4_normsp_0(X33)|~v2_normsp_1(X33)|~l1_normsp_1(X33)|~m1_subset_1(X34,u1_struct_0(X33))|~m1_subset_1(X35,u1_struct_0(k17_dualsp01(X33)))|v1_xreal_0(k2_dualsp06(X33,X34,X35))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])).
fof(c_0_15, 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,k4_algstr_0(esk1_0,esk2_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_13])])])).
fof(c_0_16, 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_17, plain, ![X30]:(~m1_subset_1(X30,k4_ordinal1)|v7_ordinal1(X30)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
cnf(c_0_18, 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_14])).
cnf(c_0_19, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(k17_dualsp01(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_20, negated_conjecture, (l1_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_21, negated_conjecture, (v2_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_22, negated_conjecture, (v4_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_23, negated_conjecture, (v3_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_24, negated_conjecture, (v8_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_25, negated_conjecture, (v7_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_26, negated_conjecture, (v6_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_27, negated_conjecture, (v5_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_28, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_29, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_30, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_31, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_32, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_15])).
fof(c_0_33, plain, ![X41, X42, X43, X44]:(v2_struct_0(X41)|~v13_algstr_0(X41)|~v2_rlvect_1(X41)|~v3_rlvect_1(X41)|~v4_rlvect_1(X41)|~v5_rlvect_1(X41)|~v6_rlvect_1(X41)|~v7_rlvect_1(X41)|~v8_rlvect_1(X41)|~v3_normsp_0(X41)|~v4_normsp_0(X41)|~v2_normsp_1(X41)|~l1_normsp_1(X41)|(~m1_subset_1(X42,u1_struct_0(X41))|(~m1_subset_1(X43,u1_struct_0(k17_dualsp01(X41)))|(~v1_xreal_0(X44)|k2_dualsp06(X41,k1_rlvect_1(X41,X42,X44),X43)=k3_xcmplx_0(X44,k2_dualsp06(X41,X42,X43)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])).
fof(c_0_34, plain, ![X28]:(~v7_ordinal1(X28)|v1_xreal_0(X28)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xreal_0])])).
cnf(c_0_35, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_36, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
fof(c_0_37, 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_38, plain, ![X36]:((l1_rlvect_1(X36)|~l1_normsp_1(X36))&(l2_normsp_0(X36)|~l1_normsp_1(X36))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_normsp_1])])])).
fof(c_0_39, plain, ![X29]:(~v1_xreal_0(X29)|v1_xcmplx_0(X29)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_xreal_0])])).
cnf(c_0_40, negated_conjecture, (v1_xreal_0(k2_dualsp06(esk1_0,X1,esk3_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_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])).
cnf(c_0_41, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_42, 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_33])).
fof(c_0_43, plain, ![X37]:((v1_xcmplx_0(k4_xcmplx_0(X37))|~v1_xreal_0(X37))&(v1_xreal_0(k4_xcmplx_0(X37))|~v1_xreal_0(X37))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_xreal_0])])])).
cnf(c_0_44, plain, (v1_xreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_45, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_35, c_0_36])).
fof(c_0_46, plain, ![X39, X40]:(v2_struct_0(X39)|~v13_algstr_0(X39)|~v2_rlvect_1(X39)|~v3_rlvect_1(X39)|~v4_rlvect_1(X39)|~v5_rlvect_1(X39)|~v6_rlvect_1(X39)|~v8_rlvect_1(X39)|~l1_rlvect_1(X39)|(~m1_subset_1(X40,u1_struct_0(X39))|k4_algstr_0(X39,X40)=k1_rlvect_1(X39,X40,k4_xcmplx_0(np__1)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])).
cnf(c_0_47, plain, (l1_rlvect_1(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_38])).
fof(c_0_48, plain, ![X31, X32]:(~v1_xcmplx_0(X31)|~v1_xcmplx_0(X32)|k3_xcmplx_0(X31,X32)=k3_xcmplx_0(X32,X31)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k3_xcmplx_0])])).
cnf(c_0_49, plain, (v1_xcmplx_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_50, negated_conjecture, (v1_xreal_0(k2_dualsp06(esk1_0,esk2_0,esk3_0))), inference(spm,[status(thm)],[c_0_40, c_0_41])).
fof(c_0_51, plain, ![X38]:(~v1_xcmplx_0(X38)|k3_xcmplx_0(X38,k4_xcmplx_0(np__1))=k4_xcmplx_0(X38)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[spc2_arithm])])).
cnf(c_0_52, negated_conjecture, (k2_dualsp06(esk1_0,k1_rlvect_1(esk1_0,X1,X2),esk3_0)=k3_xcmplx_0(X2,k2_dualsp06(esk1_0,X1,esk3_0))|~v1_xreal_0(X2)|~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_42, 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])).
cnf(c_0_53, plain, (v1_xreal_0(k4_xcmplx_0(X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_54, plain, (v1_xreal_0(np__1)), inference(spm,[status(thm)],[c_0_44, c_0_45])).
cnf(c_0_55, 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_46])).
cnf(c_0_56, negated_conjecture, (l1_rlvect_1(esk1_0)), inference(spm,[status(thm)],[c_0_47, c_0_20])).
cnf(c_0_57, 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_48])).
cnf(c_0_58, negated_conjecture, (v1_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0))), inference(spm,[status(thm)],[c_0_49, c_0_50])).
cnf(c_0_59, plain, (v1_xcmplx_0(k4_xcmplx_0(X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_60, 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_51])).
cnf(c_0_61, negated_conjecture, (k2_dualsp06(esk1_0,k1_rlvect_1(esk1_0,esk2_0,X1),esk3_0)=k3_xcmplx_0(X1,k2_dualsp06(esk1_0,esk2_0,esk3_0))|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_52, c_0_41])).
cnf(c_0_62, plain, (v1_xreal_0(k4_xcmplx_0(np__1))), inference(spm,[status(thm)],[c_0_53, c_0_54])).
cnf(c_0_63, negated_conjecture, (k1_rlvect_1(esk1_0,esk2_0,k4_xcmplx_0(np__1))=k4_algstr_0(esk1_0,esk2_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(spm,[status(thm)],[c_0_55, c_0_41]), c_0_56]), c_0_24]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31])]), c_0_32])).
cnf(c_0_64, negated_conjecture, (k3_xcmplx_0(X1,k2_dualsp06(esk1_0,esk2_0,esk3_0))=k3_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0),X1)|~v1_xcmplx_0(X1)), inference(spm,[status(thm)],[c_0_57, c_0_58])).
cnf(c_0_65, plain, (v1_xcmplx_0(k4_xcmplx_0(np__1))), inference(spm,[status(thm)],[c_0_59, c_0_54])).
cnf(c_0_66, negated_conjecture, (k3_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0),k4_xcmplx_0(np__1))=k4_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0))), inference(spm,[status(thm)],[c_0_60, c_0_58])).
cnf(c_0_67, negated_conjecture, (k3_xcmplx_0(k4_xcmplx_0(np__1),k2_dualsp06(esk1_0,esk2_0,esk3_0))=k2_dualsp06(esk1_0,k4_algstr_0(esk1_0,esk2_0),esk3_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_63])).
cnf(c_0_68, negated_conjecture, (k2_dualsp06(esk1_0,k4_algstr_0(esk1_0,esk2_0),esk3_0)!=k4_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0))), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_69, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_66]), c_0_67]), c_0_68]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 70
# Proof object clause steps            : 43
# Proof object formula steps           : 27
# Proof object conjectures             : 30
# Proof object clause conjectures      : 27
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 28
# Proof object initial formulas used   : 12
# Proof object generating inferences   : 15
# Proof object simplifying inferences  : 42
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 12
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 30
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 30
# Processed clauses                    : 107
# ...of these trivial                  : 9
# ...subsumed                          : 0
# ...remaining for further processing  : 97
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 106
# ...of the previous two non-trivial   : 105
# Contextual simplify-reflections      : 0
# Paramodulations                      : 106
# 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  : 67
#    Positive orientable unit clauses  : 47
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 18
# Current number of unprocessed clauses: 58
# ...number of literals in the above   : 75
# Current number of archived formulas  : 0
# Current number of archived clauses   : 30
# Clause-clause subsumption calls (NU) : 392
# Rec. Clause-clause subsumption calls : 24
# Non-unit clause-clause subsumptions  : 0
# Unit Clause-clause subsumption calls : 1
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 43
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 5256

# -------------------------------------------------
# User time                : 0.036 s
# System time              : 0.000 s
# Total time               : 0.036 s
# Maximum resident set size: 3476 pages
