# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
# and selection function PSelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.028 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t8_real, axiom, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>~(((~(r1_xxreal_0(X1,X2))&~(v3_xxreal_0(X2)))&~(v2_xxreal_0(X1)))))), file('e_trans2/e_trans2__l70_e_trans2', t8_real)).
fof(cc3_nat_1, axiom, ![X1]:(v7_ordinal1(X1)=>(v7_ordinal1(X1)&~(v3_xxreal_0(X1)))), file('e_trans2/e_trans2__l70_e_trans2', cc3_nat_1)).
fof(cc2_xreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xreal_0(X1)), file('e_trans2/e_trans2__l70_e_trans2', cc2_xreal_0)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('e_trans2/e_trans2__l70_e_trans2', cc8_ordinal1)).
fof(dt_k7_nat_d, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>m1_subset_1(k7_nat_d(X1,X2),k4_ordinal1)), file('e_trans2/e_trans2__l70_e_trans2', dt_k7_nat_d)).
fof(cc4_nat_1, axiom, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~(v2_xxreal_0(X1)))), file('e_trans2/e_trans2__l70_e_trans2', cc4_nat_1)).
fof(t37_e_trans2, axiom, ![X1]:(((v7_ordinal1(X1)&v1_int_2(X1))&~(v1_abian(X1)))=>![X2]:(m1_subset_1(X2,u1_struct_0(k2_vectsp_1))=>k2_polynom4(k2_vectsp_1,k2_basel_2(k2_vectsp_1,k5_e_trans1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_numbers),k7_nat_d(X1,np__1)))),X2)=k2_binom(k2_vectsp_1,X2,k7_nat_d(X1,np__1)))), file('e_trans2/e_trans2__l70_e_trans2', t37_e_trans2)).
fof(l70_e_trans2, conjecture, ![X1]:(((v7_ordinal1(X1)&v1_int_2(X1))&~(v1_abian(X1)))=>![X2]:((v7_ordinal1(X2)&v2_xxreal_0(X2))=>![X3]:(m1_subset_1(X3,u1_struct_0(k2_vectsp_1))=>(r1_xxreal_0(X3,X2)=>(r1_xxreal_0(X3,k5_numbers)|r1_xxreal_0(k2_polynom4(k2_vectsp_1,k2_basel_2(k2_vectsp_1,k5_e_trans1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_numbers),k7_nat_d(X1,np__1)))),X3),k1_newton(X2,k7_nat_d(X1,np__1)))))))), file('e_trans2/e_trans2__l70_e_trans2', l70_e_trans2)).
fof(l18_e_trans2, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(m1_subset_1(X2,u1_struct_0(k2_vectsp_1))=>(~(r1_xxreal_0(X2,k5_numbers))=>k9_nat_1(u1_struct_0(k2_vectsp_1),k4_group_1(k2_vectsp_1),X2,X1)=k2_power(X2,X1)))), file('e_trans2/e_trans2__l70_e_trans2', l18_e_trans2)).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1), file('e_trans2/e_trans2__l70_e_trans2', fc9_ordinal1)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('e_trans2/e_trans2__l70_e_trans2', redefinition_k5_numbers)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1), file('e_trans2/e_trans2__l70_e_trans2', fc8_ordinal1)).
fof(d2_binom, axiom, ![X1]:(((~(v2_struct_0(X1))&v1_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(v7_ordinal1(X3)=>k2_binom(X1,X2,X3)=k9_nat_1(u1_struct_0(X1),k4_group_1(X1),X2,X3)))), file('e_trans2/e_trans2__l70_e_trans2', d2_binom)).
fof(ie1_power, axiom, ![X1, X2]:((v1_xreal_0(X1)&v7_ordinal1(X2))=>k2_power(X1,X2)=k1_newton(X1,X2)), file('e_trans2/e_trans2__l70_e_trans2', ie1_power)).
fof(fc4_vectsp_1, axiom, (~(v2_struct_0(k2_vectsp_1))&v36_algstr_0(k2_vectsp_1)), file('e_trans2/e_trans2__l70_e_trans2', fc4_vectsp_1)).
fof(t64_asympt_1, axiom, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>![X3]:(v1_xreal_0(X3)=>((r1_xxreal_0(X1,X2)&r1_xxreal_0(k5_numbers,X3))=>(r1_xxreal_0(X1,k5_numbers)|r1_xxreal_0(k2_power(X1,X3),k2_power(X2,X3))))))), file('e_trans2/e_trans2__l70_e_trans2', t64_asympt_1)).
fof(fc7_vectsp_1, axiom, (v36_algstr_0(k2_vectsp_1)&v1_group_1(k2_vectsp_1)), file('e_trans2/e_trans2__l70_e_trans2', fc7_vectsp_1)).
fof(dt_l4_algstr_0, axiom, ![X1]:(l4_algstr_0(X1)=>(l3_struct_0(X1)&l3_algstr_0(X1))), file('e_trans2/e_trans2__l70_e_trans2', dt_l4_algstr_0)).
fof(cc8_membered, axiom, ![X1]:(v3_membered(X1)=>![X2]:(m1_subset_1(X2,X1)=>v1_xreal_0(X2))), file('e_trans2/e_trans2__l70_e_trans2', cc8_membered)).
fof(fc5_vectsp_1, axiom, v3_membered(u1_struct_0(k2_vectsp_1)), file('e_trans2/e_trans2__l70_e_trans2', fc5_vectsp_1)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('e_trans2/e_trans2__l70_e_trans2', spc1_numerals)).
fof(dt_l5_algstr_0, axiom, ![X1]:(l5_algstr_0(X1)=>(l4_algstr_0(X1)&l4_struct_0(X1))), file('e_trans2/e_trans2__l70_e_trans2', dt_l5_algstr_0)).
fof(dt_l6_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(l2_algstr_0(X1)&l5_algstr_0(X1))), file('e_trans2/e_trans2__l70_e_trans2', dt_l6_algstr_0)).
fof(dt_k2_vectsp_1, axiom, (v36_algstr_0(k2_vectsp_1)&l6_algstr_0(k2_vectsp_1)), file('e_trans2/e_trans2__l70_e_trans2', dt_k2_vectsp_1)).
fof(c_0_24, plain, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>~(((~r1_xxreal_0(X1,X2)&~v3_xxreal_0(X2))&~v2_xxreal_0(X1))))), inference(fof_simplification,[status(thm)],[t8_real])).
fof(c_0_25, plain, ![X1]:(v7_ordinal1(X1)=>(v7_ordinal1(X1)&~v3_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc3_nat_1])).
fof(c_0_26, plain, ![X58, X59]:(~v1_xreal_0(X58)|(~v1_xreal_0(X59)|(r1_xxreal_0(X58,X59)|v3_xxreal_0(X59)|v2_xxreal_0(X58)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])).
fof(c_0_27, plain, ![X35]:(~v7_ordinal1(X35)|v1_xreal_0(X35)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xreal_0])])).
fof(c_0_28, plain, ![X36]:((v7_ordinal1(X36)|~v7_ordinal1(X36))&(~v3_xxreal_0(X36)|~v7_ordinal1(X36))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])).
cnf(c_0_29, plain, (r1_xxreal_0(X1,X2)|v3_xxreal_0(X2)|v2_xxreal_0(X1)|~v1_xreal_0(X1)|~v1_xreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_30, plain, (v1_xreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_31, plain, (~v3_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_32, plain, ![X40]:(~m1_subset_1(X40,k4_ordinal1)|v7_ordinal1(X40)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_33, plain, ![X44, X45]:(~v7_ordinal1(X44)|~v7_ordinal1(X45)|m1_subset_1(k7_nat_d(X44,X45),k4_ordinal1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_nat_d])])).
fof(c_0_34, plain, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~v2_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc4_nat_1])).
fof(c_0_35, plain, ![X1]:(((v7_ordinal1(X1)&v1_int_2(X1))&~v1_abian(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k2_vectsp_1))=>k2_polynom4(k2_vectsp_1,k2_basel_2(k2_vectsp_1,k5_e_trans1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_numbers),k7_nat_d(X1,np__1)))),X2)=k2_binom(k2_vectsp_1,X2,k7_nat_d(X1,np__1)))), inference(fof_simplification,[status(thm)],[t37_e_trans2])).
fof(c_0_36, negated_conjecture, ~(![X1]:(((v7_ordinal1(X1)&v1_int_2(X1))&~v1_abian(X1))=>![X2]:((v7_ordinal1(X2)&v2_xxreal_0(X2))=>![X3]:(m1_subset_1(X3,u1_struct_0(k2_vectsp_1))=>(r1_xxreal_0(X3,X2)=>(r1_xxreal_0(X3,k5_numbers)|r1_xxreal_0(k2_polynom4(k2_vectsp_1,k2_basel_2(k2_vectsp_1,k5_e_trans1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_numbers),k7_nat_d(X1,np__1)))),X3),k1_newton(X2,k7_nat_d(X1,np__1))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l70_e_trans2])])).
fof(c_0_37, plain, ![X1]:(v7_ordinal1(X1)=>![X2]:(m1_subset_1(X2,u1_struct_0(k2_vectsp_1))=>(~r1_xxreal_0(X2,k5_numbers)=>k9_nat_1(u1_struct_0(k2_vectsp_1),k4_group_1(k2_vectsp_1),X2,X1)=k2_power(X2,X1)))), inference(fof_simplification,[status(thm)],[l18_e_trans2])).
cnf(c_0_38, plain, (r1_xxreal_0(X1,X2)|v2_xxreal_0(X1)|~v1_xreal_0(X1)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31])).
cnf(c_0_39, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_40, plain, (m1_subset_1(k7_nat_d(X1,X2),k4_ordinal1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_33])).
fof(c_0_41, plain, ![X37]:((v7_ordinal1(X37)|(~v7_ordinal1(X37)|~v8_ordinal1(X37)))&(~v2_xxreal_0(X37)|(~v7_ordinal1(X37)|~v8_ordinal1(X37)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])).
cnf(c_0_42, plain, (v8_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc9_ordinal1])).
cnf(c_0_43, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
cnf(c_0_44, plain, (v7_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc8_ordinal1])).
fof(c_0_45, plain, ![X53, X54]:(~v7_ordinal1(X53)|~v1_int_2(X53)|v1_abian(X53)|(~m1_subset_1(X54,u1_struct_0(k2_vectsp_1))|k2_polynom4(k2_vectsp_1,k2_basel_2(k2_vectsp_1,k5_e_trans1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_numbers),k7_nat_d(X53,np__1)))),X54)=k2_binom(k2_vectsp_1,X54,k7_nat_d(X53,np__1)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])).
fof(c_0_46, negated_conjecture, (((v7_ordinal1(esk1_0)&v1_int_2(esk1_0))&~v1_abian(esk1_0))&((v7_ordinal1(esk2_0)&v2_xxreal_0(esk2_0))&(m1_subset_1(esk3_0,u1_struct_0(k2_vectsp_1))&(r1_xxreal_0(esk3_0,esk2_0)&(~r1_xxreal_0(esk3_0,k5_numbers)&~r1_xxreal_0(k2_polynom4(k2_vectsp_1,k2_basel_2(k2_vectsp_1,k5_e_trans1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_numbers),k7_nat_d(esk1_0,np__1)))),esk3_0),k1_newton(esk2_0,k7_nat_d(esk1_0,np__1)))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])).
fof(c_0_47, plain, ![X1]:(((~v2_struct_0(X1)&v1_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(v7_ordinal1(X3)=>k2_binom(X1,X2,X3)=k9_nat_1(u1_struct_0(X1),k4_group_1(X1),X2,X3)))), inference(fof_simplification,[status(thm)],[d2_binom])).
fof(c_0_48, plain, ![X51, X52]:(~v7_ordinal1(X51)|(~m1_subset_1(X52,u1_struct_0(k2_vectsp_1))|(r1_xxreal_0(X52,k5_numbers)|k9_nat_1(u1_struct_0(k2_vectsp_1),k4_group_1(k2_vectsp_1),X52,X51)=k2_power(X52,X51)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])).
cnf(c_0_49, plain, (r1_xxreal_0(X1,X2)|v2_xxreal_0(X1)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_38, c_0_30])).
cnf(c_0_50, plain, (v7_ordinal1(k7_nat_d(X1,X2))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_39, c_0_40])).
cnf(c_0_51, plain, (~v2_xxreal_0(X1)|~v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_52, plain, (v8_ordinal1(k5_numbers)), inference(rw,[status(thm)],[c_0_42, c_0_43])).
cnf(c_0_53, plain, (v7_ordinal1(k5_numbers)), inference(rw,[status(thm)],[c_0_44, c_0_43])).
fof(c_0_54, plain, ![X49, X50]:(~v1_xreal_0(X49)|~v7_ordinal1(X50)|k2_power(X49,X50)=k1_newton(X49,X50)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ie1_power])])).
cnf(c_0_55, plain, (v1_abian(X1)|k2_polynom4(k2_vectsp_1,k2_basel_2(k2_vectsp_1,k5_e_trans1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_numbers),k7_nat_d(X1,np__1)))),X2)=k2_binom(k2_vectsp_1,X2,k7_nat_d(X1,np__1))|~v7_ordinal1(X1)|~v1_int_2(X1)|~m1_subset_1(X2,u1_struct_0(k2_vectsp_1))), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_56, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(k2_vectsp_1))), inference(split_conjunct,[status(thm)],[c_0_46])).
fof(c_0_57, plain, ![X41, X42, X43]:(v2_struct_0(X41)|~v1_group_1(X41)|~l3_algstr_0(X41)|(~m1_subset_1(X42,u1_struct_0(X41))|(~v7_ordinal1(X43)|k2_binom(X41,X42,X43)=k9_nat_1(u1_struct_0(X41),k4_group_1(X41),X42,X43)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])).
cnf(c_0_58, plain, (r1_xxreal_0(X2,k5_numbers)|k9_nat_1(u1_struct_0(k2_vectsp_1),k4_group_1(k2_vectsp_1),X2,X1)=k2_power(X2,X1)|~v7_ordinal1(X1)|~m1_subset_1(X2,u1_struct_0(k2_vectsp_1))), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_59, negated_conjecture, (~r1_xxreal_0(esk3_0,k5_numbers)), inference(split_conjunct,[status(thm)],[c_0_46])).
fof(c_0_60, plain, (~v2_struct_0(k2_vectsp_1)&v36_algstr_0(k2_vectsp_1)), inference(fof_simplification,[status(thm)],[fc4_vectsp_1])).
fof(c_0_61, plain, ![X55, X56, X57]:(~v1_xreal_0(X55)|(~v1_xreal_0(X56)|(~v1_xreal_0(X57)|(~r1_xxreal_0(X55,X56)|~r1_xxreal_0(k5_numbers,X57)|(r1_xxreal_0(X55,k5_numbers)|r1_xxreal_0(k2_power(X55,X57),k2_power(X56,X57))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t64_asympt_1])])])).
cnf(c_0_62, plain, (r1_xxreal_0(X1,k7_nat_d(X2,X3))|v2_xxreal_0(X1)|~v7_ordinal1(X1)|~v7_ordinal1(X3)|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_49, c_0_50])).
cnf(c_0_63, plain, (~v2_xxreal_0(k5_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_53])])).
cnf(c_0_64, negated_conjecture, (~r1_xxreal_0(k2_polynom4(k2_vectsp_1,k2_basel_2(k2_vectsp_1,k5_e_trans1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_numbers),k7_nat_d(esk1_0,np__1)))),esk3_0),k1_newton(esk2_0,k7_nat_d(esk1_0,np__1)))), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_65, plain, (k2_power(X1,X2)=k1_newton(X1,X2)|~v1_xreal_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_66, negated_conjecture, (k2_polynom4(k2_vectsp_1,k2_basel_2(k2_vectsp_1,k5_e_trans1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_numbers),k7_nat_d(X1,np__1)))),esk3_0)=k2_binom(k2_vectsp_1,esk3_0,k7_nat_d(X1,np__1))|v1_abian(X1)|~v1_int_2(X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_55, c_0_56])).
cnf(c_0_67, negated_conjecture, (v1_int_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_68, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_69, negated_conjecture, (~v1_abian(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_70, plain, (v2_struct_0(X1)|k2_binom(X1,X2,X3)=k9_nat_1(u1_struct_0(X1),k4_group_1(X1),X2,X3)|~v1_group_1(X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~v7_ordinal1(X3)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_71, negated_conjecture, (k9_nat_1(u1_struct_0(k2_vectsp_1),k4_group_1(k2_vectsp_1),esk3_0,X1)=k2_power(esk3_0,X1)|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_56]), c_0_59])).
cnf(c_0_72, plain, (v1_group_1(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[fc7_vectsp_1])).
cnf(c_0_73, plain, (~v2_struct_0(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_60])).
fof(c_0_74, plain, ![X46]:((l3_struct_0(X46)|~l4_algstr_0(X46))&(l3_algstr_0(X46)|~l4_algstr_0(X46))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l4_algstr_0])])])).
cnf(c_0_75, plain, (r1_xxreal_0(X1,k5_numbers)|r1_xxreal_0(k2_power(X1,X3),k2_power(X2,X3))|~v1_xreal_0(X1)|~v1_xreal_0(X2)|~v1_xreal_0(X3)|~r1_xxreal_0(X1,X2)|~r1_xxreal_0(k5_numbers,X3)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_76, plain, (r1_xxreal_0(k5_numbers,k7_nat_d(X1,X2))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_53]), c_0_63])).
fof(c_0_77, plain, ![X38, X39]:(~v3_membered(X38)|(~m1_subset_1(X39,X38)|v1_xreal_0(X39))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_membered])])])).
cnf(c_0_78, negated_conjecture, (~v1_xreal_0(esk2_0)|~r1_xxreal_0(k2_polynom4(k2_vectsp_1,k2_basel_2(k2_vectsp_1,k5_e_trans1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_numbers),k7_nat_d(esk1_0,np__1)))),esk3_0),k2_power(esk2_0,k7_nat_d(esk1_0,np__1)))|~v7_ordinal1(k7_nat_d(esk1_0,np__1))), inference(spm,[status(thm)],[c_0_64, c_0_65])).
cnf(c_0_79, negated_conjecture, (k2_polynom4(k2_vectsp_1,k2_basel_2(k2_vectsp_1,k5_e_trans1(k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(k5_numbers),k7_nat_d(esk1_0,np__1)))),esk3_0)=k2_binom(k2_vectsp_1,esk3_0,k7_nat_d(esk1_0,np__1))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_67]), c_0_68])]), c_0_69])).
cnf(c_0_80, negated_conjecture, (k2_binom(k2_vectsp_1,esk3_0,X1)=k2_power(esk3_0,X1)|~l3_algstr_0(k2_vectsp_1)|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_72]), c_0_56])]), c_0_73])).
cnf(c_0_81, plain, (l3_algstr_0(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_82, plain, (r1_xxreal_0(k2_power(X1,k7_nat_d(X2,X3)),k2_power(X4,k7_nat_d(X2,X3)))|r1_xxreal_0(X1,k5_numbers)|~v1_xreal_0(k7_nat_d(X2,X3))|~v1_xreal_0(X4)|~v1_xreal_0(X1)|~r1_xxreal_0(X1,X4)|~v7_ordinal1(X3)|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_75, c_0_76])).
cnf(c_0_83, plain, (v1_xreal_0(X2)|~v3_membered(X1)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_84, plain, (v3_membered(u1_struct_0(k2_vectsp_1))), inference(split_conjunct,[status(thm)],[fc5_vectsp_1])).
cnf(c_0_85, negated_conjecture, (~v1_xreal_0(esk2_0)|~r1_xxreal_0(k2_binom(k2_vectsp_1,esk3_0,k7_nat_d(esk1_0,np__1)),k2_power(esk2_0,k7_nat_d(esk1_0,np__1)))|~v7_ordinal1(k7_nat_d(esk1_0,np__1))), inference(rw,[status(thm)],[c_0_78, c_0_79])).
cnf(c_0_86, negated_conjecture, (k2_binom(k2_vectsp_1,esk3_0,X1)=k2_power(esk3_0,X1)|~l4_algstr_0(k2_vectsp_1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_80, c_0_81])).
cnf(c_0_87, plain, (r1_xxreal_0(k2_power(X1,k7_nat_d(X2,X3)),k2_power(X4,k7_nat_d(X2,X3)))|r1_xxreal_0(X1,k5_numbers)|~v1_xreal_0(X4)|~v1_xreal_0(X1)|~r1_xxreal_0(X1,X4)|~v7_ordinal1(X3)|~v7_ordinal1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_30]), c_0_50])).
cnf(c_0_88, negated_conjecture, (r1_xxreal_0(esk3_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_89, negated_conjecture, (v1_xreal_0(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_56]), c_0_84])])).
cnf(c_0_90, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_91, negated_conjecture, (~l4_algstr_0(k2_vectsp_1)|~v1_xreal_0(esk2_0)|~r1_xxreal_0(k2_power(esk3_0,k7_nat_d(esk1_0,np__1)),k2_power(esk2_0,k7_nat_d(esk1_0,np__1)))|~v7_ordinal1(k7_nat_d(esk1_0,np__1))), inference(spm,[status(thm)],[c_0_85, c_0_86])).
cnf(c_0_92, negated_conjecture, (r1_xxreal_0(k2_power(esk3_0,k7_nat_d(X1,X2)),k2_power(esk2_0,k7_nat_d(X1,X2)))|~v1_xreal_0(esk2_0)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_88]), c_0_89])]), c_0_59])).
cnf(c_0_93, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_39, c_0_90])).
fof(c_0_94, plain, ![X47]:((l4_algstr_0(X47)|~l5_algstr_0(X47))&(l4_struct_0(X47)|~l5_algstr_0(X47))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l5_algstr_0])])])).
fof(c_0_95, plain, ![X48]:((l2_algstr_0(X48)|~l6_algstr_0(X48))&(l5_algstr_0(X48)|~l6_algstr_0(X48))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
cnf(c_0_96, negated_conjecture, (~l4_algstr_0(k2_vectsp_1)|~v1_xreal_0(esk2_0)|~v7_ordinal1(k7_nat_d(esk1_0,np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_93]), c_0_68])])).
cnf(c_0_97, plain, (l4_algstr_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_94])).
cnf(c_0_98, plain, (l5_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_95])).
cnf(c_0_99, negated_conjecture, (~l4_algstr_0(k2_vectsp_1)|~v1_xreal_0(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_50]), c_0_93]), c_0_68])])).
cnf(c_0_100, plain, (l4_algstr_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_97, c_0_98])).
cnf(c_0_101, plain, (l6_algstr_0(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[dt_k2_vectsp_1])).
cnf(c_0_102, negated_conjecture, (~v1_xreal_0(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_100]), c_0_101])])).
cnf(c_0_103, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_104, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_30]), c_0_103])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 105
# Proof object clause steps            : 57
# Proof object formula steps           : 48
# Proof object conjectures             : 25
# Proof object clause conjectures      : 22
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 31
# Proof object initial formulas used   : 24
# Proof object generating inferences   : 23
# Proof object simplifying inferences  : 31
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 24
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 41
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 39
# Processed clauses                    : 3512
# ...of these trivial                  : 2
# ...subsumed                          : 712
# ...remaining for further processing  : 2798
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 28
# Backward-rewritten                   : 2
# Generated clauses                    : 8397
# ...of the previous two non-trivial   : 8354
# Contextual simplify-reflections      : 2
# Paramodulations                      : 8397
# 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  : 2768
#    Positive orientable unit clauses  : 23
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 6
#    Non-unit-clauses                  : 2739
# Current number of unprocessed clauses: 4877
# ...number of literals in the above   : 23831
# Current number of archived formulas  : 0
# Current number of archived clauses   : 30
# Clause-clause subsumption calls (NU) : 795255
# Rec. Clause-clause subsumption calls : 327793
# Non-unit clause-clause subsumptions  : 741
# Unit Clause-clause subsumption calls : 121
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 4
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 244005

# -------------------------------------------------
# User time                : 0.361 s
# System time              : 0.023 s
# Total time               : 0.385 s
# Maximum resident set size: 3388 pages
