# 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       : 0.019 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t13_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(X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k17_dualsp01(X1)))=>k2_dualsp06(X1,k5_algstr_0(X1,X2,X3),X4)=k6_xcmplx_0(k2_dualsp06(X1,X2,X4),k2_dualsp06(X1,X3,X4)))))), file('dualsp06/dualsp06__t13_dualsp06', t13_dualsp06)).
fof(dt_l1_normsp_1, axiom, ![X1]:(l1_normsp_1(X1)=>(l1_rlvect_1(X1)&l2_normsp_0(X1))), file('dualsp06/dualsp06__t13_dualsp06', dt_l1_normsp_1)).
fof(redefinition_k3_rlvect_1, axiom, ![X1, X2, X3]:((((v2_rlvect_1(X1)&l1_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k3_rlvect_1(X1,X2,X3)=k1_algstr_0(X1,X2,X3)), file('dualsp06/dualsp06__t13_dualsp06', redefinition_k3_rlvect_1)).
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__t13_dualsp06', dt_k4_algstr_0)).
fof(dt_l2_algstr_0, axiom, ![X1]:(l2_algstr_0(X1)=>(l2_struct_0(X1)&l1_algstr_0(X1))), file('dualsp06/dualsp06__t13_dualsp06', dt_l2_algstr_0)).
fof(dt_l1_rlvect_1, axiom, ![X1]:(l1_rlvect_1(X1)=>l2_algstr_0(X1)), file('dualsp06/dualsp06__t13_dualsp06', dt_l1_rlvect_1)).
fof(d14_algstr_0, axiom, ![X1]:(l2_algstr_0(X1)=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k5_algstr_0(X1,X2,X3)=k1_algstr_0(X1,X2,k4_algstr_0(X1,X3))))), file('dualsp06/dualsp06__t13_dualsp06', d14_algstr_0)).
fof(t5_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(X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k17_dualsp01(X1)))=>k2_dualsp06(X1,k3_rlvect_1(X1,X2,X3),X4)=k2_xcmplx_0(k2_dualsp06(X1,X2,X4),k2_dualsp06(X1,X3,X4)))))), file('dualsp06/dualsp06__t13_dualsp06', t5_dualsp06)).
fof(spc1_arithm, axiom, ![X1, X2]:((v1_xcmplx_0(X1)&v1_xcmplx_0(X2))=>k2_xcmplx_0(X1,k4_xcmplx_0(X2))=k6_xcmplx_0(X1,X2)), file('dualsp06/dualsp06__t13_dualsp06', spc1_arithm)).
fof(t10_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,k4_algstr_0(X1,X2),X3)=k4_xcmplx_0(k2_dualsp06(X1,X2,X3))))), file('dualsp06/dualsp06__t13_dualsp06', t10_dualsp06)).
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__t13_dualsp06', dt_k2_dualsp06)).
fof(cc3_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xcmplx_0(X1)), file('dualsp06/dualsp06__t13_dualsp06', cc3_xreal_0)).
fof(c_0_12, 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(X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k17_dualsp01(X1)))=>k2_dualsp06(X1,k5_algstr_0(X1,X2,X3),X4)=k6_xcmplx_0(k2_dualsp06(X1,X2,X4),k2_dualsp06(X1,X3,X4))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t13_dualsp06])])).
fof(c_0_13, plain, ![X46]:((l1_rlvect_1(X46)|~l1_normsp_1(X46))&(l2_normsp_0(X46)|~l1_normsp_1(X46))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_normsp_1])])])).
fof(c_0_14, 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(esk1_0))&(m1_subset_1(esk4_0,u1_struct_0(k17_dualsp01(esk1_0)))&k2_dualsp06(esk1_0,k5_algstr_0(esk1_0,esk2_0,esk3_0),esk4_0)!=k6_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk4_0),k2_dualsp06(esk1_0,esk3_0,esk4_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])).
fof(c_0_15, plain, ![X49, X50, X51]:(~v2_rlvect_1(X49)|~l1_algstr_0(X49)|~m1_subset_1(X50,u1_struct_0(X49))|~m1_subset_1(X51,u1_struct_0(X49))|k3_rlvect_1(X49,X50,X51)=k1_algstr_0(X49,X50,X51)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k3_rlvect_1])])).
fof(c_0_16, plain, ![X44, X45]:(~l2_algstr_0(X44)|~m1_subset_1(X45,u1_struct_0(X44))|m1_subset_1(k4_algstr_0(X44,X45),u1_struct_0(X44))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_algstr_0])])).
fof(c_0_17, plain, ![X48]:((l2_struct_0(X48)|~l2_algstr_0(X48))&(l1_algstr_0(X48)|~l2_algstr_0(X48))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_algstr_0])])])).
fof(c_0_18, plain, ![X47]:(~l1_rlvect_1(X47)|l2_algstr_0(X47)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_rlvect_1])])).
cnf(c_0_19, plain, (l1_rlvect_1(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_20, negated_conjecture, (l1_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
fof(c_0_21, plain, ![X38, X39, X40]:(~l2_algstr_0(X38)|(~m1_subset_1(X39,u1_struct_0(X38))|(~m1_subset_1(X40,u1_struct_0(X38))|k5_algstr_0(X38,X39,X40)=k1_algstr_0(X38,X39,k4_algstr_0(X38,X40))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d14_algstr_0])])])).
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(X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k17_dualsp01(X1)))=>k2_dualsp06(X1,k3_rlvect_1(X1,X2,X3),X4)=k2_xcmplx_0(k2_dualsp06(X1,X2,X4),k2_dualsp06(X1,X3,X4)))))), inference(fof_simplification,[status(thm)],[t5_dualsp06])).
cnf(c_0_23, plain, (k3_rlvect_1(X1,X2,X3)=k1_algstr_0(X1,X2,X3)|~v2_rlvect_1(X1)|~l1_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_24, 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_16])).
cnf(c_0_25, plain, (l1_algstr_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_26, plain, (l2_algstr_0(X1)|~l1_rlvect_1(X1)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_27, negated_conjecture, (l1_rlvect_1(esk1_0)), inference(spm,[status(thm)],[c_0_19, c_0_20])).
cnf(c_0_28, negated_conjecture, (k2_dualsp06(esk1_0,k5_algstr_0(esk1_0,esk2_0,esk3_0),esk4_0)!=k6_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk4_0),k2_dualsp06(esk1_0,esk3_0,esk4_0))), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_29, plain, (k5_algstr_0(X1,X2,X3)=k1_algstr_0(X1,X2,k4_algstr_0(X1,X3))|~l2_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_30, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_31, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_14])).
fof(c_0_32, plain, ![X57, X58, X59, X60]:(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)|~v7_rlvect_1(X57)|~v8_rlvect_1(X57)|~v3_normsp_0(X57)|~v4_normsp_0(X57)|~v2_normsp_1(X57)|~l1_normsp_1(X57)|(~m1_subset_1(X58,u1_struct_0(X57))|(~m1_subset_1(X59,u1_struct_0(X57))|(~m1_subset_1(X60,u1_struct_0(k17_dualsp01(X57)))|k2_dualsp06(X57,k3_rlvect_1(X57,X58,X59),X60)=k2_xcmplx_0(k2_dualsp06(X57,X58,X60),k2_dualsp06(X57,X59,X60)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])).
cnf(c_0_33, plain, (k3_rlvect_1(X1,X2,k4_algstr_0(X1,X3))=k1_algstr_0(X1,X2,k4_algstr_0(X1,X3))|~l2_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~v2_rlvect_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_25])).
cnf(c_0_34, negated_conjecture, (l2_algstr_0(esk1_0)), inference(spm,[status(thm)],[c_0_26, c_0_27])).
cnf(c_0_35, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_36, negated_conjecture, (k6_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk4_0),k2_dualsp06(esk1_0,esk3_0,esk4_0))!=k2_dualsp06(esk1_0,k1_algstr_0(esk1_0,esk2_0,k4_algstr_0(esk1_0,esk3_0)),esk4_0)|~l2_algstr_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30]), c_0_31])])).
fof(c_0_37, plain, ![X52, X53]:(~v1_xcmplx_0(X52)|~v1_xcmplx_0(X53)|k2_xcmplx_0(X52,k4_xcmplx_0(X53))=k6_xcmplx_0(X52,X53)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[spc1_arithm])])).
cnf(c_0_38, plain, (v2_struct_0(X1)|k2_dualsp06(X1,k3_rlvect_1(X1,X2,X3),X4)=k2_xcmplx_0(k2_dualsp06(X1,X2,X4),k2_dualsp06(X1,X3,X4))|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X4,u1_struct_0(k17_dualsp01(X1)))), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_39, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(k17_dualsp01(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_40, negated_conjecture, (v2_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_41, negated_conjecture, (v4_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_42, negated_conjecture, (v3_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_43, negated_conjecture, (v8_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_44, negated_conjecture, (v7_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_45, negated_conjecture, (v6_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_46, negated_conjecture, (v5_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_47, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_48, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_49, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_50, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_51, negated_conjecture, (k3_rlvect_1(esk1_0,esk2_0,k4_algstr_0(esk1_0,X1))=k1_algstr_0(esk1_0,esk2_0,k4_algstr_0(esk1_0,X1))|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_31]), c_0_34]), c_0_35])])).
fof(c_0_52, 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,k4_algstr_0(X1,X2),X3)=k4_xcmplx_0(k2_dualsp06(X1,X2,X3))))), inference(fof_simplification,[status(thm)],[t10_dualsp06])).
fof(c_0_53, 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_54, negated_conjecture, (k6_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk4_0),k2_dualsp06(esk1_0,esk3_0,esk4_0))!=k2_dualsp06(esk1_0,k1_algstr_0(esk1_0,esk2_0,k4_algstr_0(esk1_0,esk3_0)),esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_34])])).
cnf(c_0_55, plain, (k2_xcmplx_0(X1,k4_xcmplx_0(X2))=k6_xcmplx_0(X1,X2)|~v1_xcmplx_0(X1)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_56, negated_conjecture, (k2_dualsp06(esk1_0,k3_rlvect_1(esk1_0,X1,X2),esk4_0)=k2_xcmplx_0(k2_dualsp06(esk1_0,X1,esk4_0),k2_dualsp06(esk1_0,X2,esk4_0))|~m1_subset_1(X2,u1_struct_0(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_38, c_0_39]), c_0_20]), 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_35]), c_0_49])]), c_0_50])).
cnf(c_0_57, negated_conjecture, (k3_rlvect_1(esk1_0,esk2_0,k4_algstr_0(esk1_0,esk3_0))=k1_algstr_0(esk1_0,esk2_0,k4_algstr_0(esk1_0,esk3_0))), inference(spm,[status(thm)],[c_0_51, c_0_30])).
fof(c_0_58, plain, ![X54, X55, X56]:(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)|(~m1_subset_1(X55,u1_struct_0(X54))|(~m1_subset_1(X56,u1_struct_0(k17_dualsp01(X54)))|k2_dualsp06(X54,k4_algstr_0(X54,X55),X56)=k4_xcmplx_0(k2_dualsp06(X54,X55,X56))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])).
fof(c_0_59, plain, ![X41, X42, X43]:(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(k2_dualsp06(X41,X42,X43))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])).
cnf(c_0_60, negated_conjecture, (k2_dualsp06(esk1_0,k1_algstr_0(esk1_0,esk2_0,k4_algstr_0(esk1_0,esk3_0)),esk4_0)!=k2_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk4_0),k4_xcmplx_0(k2_dualsp06(esk1_0,esk3_0,esk4_0)))|~v1_xcmplx_0(k2_dualsp06(esk1_0,esk3_0,esk4_0))|~v1_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk4_0))), inference(spm,[status(thm)],[c_0_54, c_0_55])).
cnf(c_0_61, negated_conjecture, (k2_dualsp06(esk1_0,k1_algstr_0(esk1_0,esk2_0,k4_algstr_0(esk1_0,esk3_0)),esk4_0)=k2_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk4_0),k2_dualsp06(esk1_0,k4_algstr_0(esk1_0,esk3_0),esk4_0))|~m1_subset_1(k4_algstr_0(esk1_0,esk3_0),u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_31])])).
cnf(c_0_62, plain, (v2_struct_0(X1)|k2_dualsp06(X1,k4_algstr_0(X1,X2),X3)=k4_xcmplx_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_58])).
fof(c_0_63, plain, ![X37]:(~v1_xreal_0(X37)|v1_xcmplx_0(X37)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_xreal_0])])).
cnf(c_0_64, 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_59])).
cnf(c_0_65, negated_conjecture, (k2_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk4_0),k2_dualsp06(esk1_0,k4_algstr_0(esk1_0,esk3_0),esk4_0))!=k2_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk4_0),k4_xcmplx_0(k2_dualsp06(esk1_0,esk3_0,esk4_0)))|~v1_xcmplx_0(k2_dualsp06(esk1_0,esk3_0,esk4_0))|~v1_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk4_0))|~m1_subset_1(k4_algstr_0(esk1_0,esk3_0),u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_60, c_0_61])).
cnf(c_0_66, negated_conjecture, (k2_dualsp06(esk1_0,k4_algstr_0(esk1_0,X1),esk4_0)=k4_xcmplx_0(k2_dualsp06(esk1_0,X1,esk4_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_62, c_0_39]), c_0_20]), 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_35]), c_0_49])]), c_0_50])).
cnf(c_0_67, plain, (v1_xcmplx_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_68, negated_conjecture, (v1_xreal_0(k2_dualsp06(esk1_0,X1,esk4_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_64, c_0_39]), c_0_20]), 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_35]), c_0_49])]), c_0_50])).
cnf(c_0_69, negated_conjecture, (~v1_xcmplx_0(k2_dualsp06(esk1_0,esk3_0,esk4_0))|~v1_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk4_0))|~m1_subset_1(k4_algstr_0(esk1_0,esk3_0),u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_66]), c_0_30])])).
cnf(c_0_70, negated_conjecture, (v1_xcmplx_0(k2_dualsp06(esk1_0,X1,esk4_0))|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_67, c_0_68])).
cnf(c_0_71, negated_conjecture, (~v1_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk4_0))|~m1_subset_1(k4_algstr_0(esk1_0,esk3_0),u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70]), c_0_30])])).
cnf(c_0_72, negated_conjecture, (~v1_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_24]), c_0_34]), c_0_30])])).
cnf(c_0_73, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_70]), c_0_31])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 74
# Proof object clause steps            : 46
# Proof object formula steps           : 28
# Proof object conjectures             : 37
# Proof object clause conjectures      : 34
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 28
# Proof object initial formulas used   : 12
# Proof object generating inferences   : 17
# Proof object simplifying inferences  : 62
# 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                    : 442
# ...of these trivial                  : 0
# ...subsumed                          : 104
# ...remaining for further processing  : 338
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 4
# Backward-rewritten                   : 1
# Generated clauses                    : 966
# ...of the previous two non-trivial   : 966
# Contextual simplify-reflections      : 2
# Paramodulations                      : 966
# 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  : 303
#    Positive orientable unit clauses  : 52
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 247
# Current number of unprocessed clauses: 575
# ...number of literals in the above   : 2427
# Current number of archived formulas  : 0
# Current number of archived clauses   : 35
# Clause-clause subsumption calls (NU) : 16720
# Rec. Clause-clause subsumption calls : 9841
# Non-unit clause-clause subsumptions  : 110
# Unit Clause-clause subsumption calls : 236
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 418
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 48390

# -------------------------------------------------
# User time                : 0.062 s
# System time              : 0.000 s
# Total time               : 0.062 s
# Maximum resident set size: 3452 pages
