# 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       : 0.030 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t40_e_trans2, conjecture, ![X1]:(((((v5_relat_1(X1,k4_numbers)&v1_funct_1(X1))&v1_funct_2(X1,k4_ordinal1,u1_struct_0(k11_gaussint)))&v1_polynom1(X1,k11_gaussint))&m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k11_gaussint)))))=>(((v1_funct_1(X1)&v1_funct_2(X1,k4_ordinal1,u1_struct_0(k1_int_3)))&v1_polynom1(X1,k1_int_3))&m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_int_3)))))), file('e_trans2/e_trans2__t40_e_trans2', t40_e_trans2)).
fof(cc1_relset_1, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>v1_relat_1(X3)), file('e_trans2/e_trans2__t40_e_trans2', cc1_relset_1)).
fof(cc2_relset_1, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>(v4_relat_1(X3,X1)&v5_relat_1(X3,X2))), file('e_trans2/e_trans2__t40_e_trans2', cc2_relset_1)).
fof(redefinition_k2_relset_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v5_relat_1(X2,X1))=>k2_relset_1(X1,X2)=k10_xtuple_0(X2)), file('e_trans2/e_trans2__t40_e_trans2', redefinition_k2_relset_1)).
fof(free_g6_algstr_0, axiom, ![X1, X2, X3, X4, X5]:((((((((v1_funct_1(X2)&v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))&v1_funct_1(X3))&v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))&m1_subset_1(X4,X1))&m1_subset_1(X5,X1))=>![X6, X7, X8, X9, X10]:(g6_algstr_0(X1,X2,X3,X4,X5)=g6_algstr_0(X6,X7,X8,X9,X10)=>((((X1=X6&X2=X7)&X3=X8)&X4=X9)&X5=X10))), file('e_trans2/e_trans2__t40_e_trans2', free_g6_algstr_0)).
fof(dt_k22_binop_2, axiom, ((v1_funct_1(k22_binop_2)&v1_funct_2(k22_binop_2,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers))&m1_subset_1(k22_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers)))), file('e_trans2/e_trans2__t40_e_trans2', dt_k22_binop_2)).
fof(dt_k10_subset_1, axiom, ![X1, X2]:m1_subset_1(k10_subset_1(X1,X2),X2), file('e_trans2/e_trans2__t40_e_trans2', dt_k10_subset_1)).
fof(t6_funct_2, axiom, ![X1, X2, X3, X4]:(((v1_funct_1(X4)&v1_funct_2(X4,X1,X2))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))=>(r1_tarski(k2_relset_1(X2,X4),X3)=>((X2=k1_xboole_0&X1!=k1_xboole_0)|((v1_funct_1(X4)&v1_funct_2(X4,X1,X3))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X3))))))), file('e_trans2/e_trans2__t40_e_trans2', t6_funct_2)).
fof(d3_int_3, axiom, k1_int_3=g6_algstr_0(k4_numbers,k20_binop_2,k22_binop_2,k10_subset_1(np__1,k4_numbers),k10_subset_1(k5_numbers,k4_numbers)), file('e_trans2/e_trans2__t40_e_trans2', d3_int_3)).
fof(dt_k20_binop_2, axiom, ((v1_funct_1(k20_binop_2)&v1_funct_2(k20_binop_2,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers))&m1_subset_1(k20_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers)))), file('e_trans2/e_trans2__t40_e_trans2', dt_k20_binop_2)).
fof(abstractness_v36_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(v36_algstr_0(X1)=>X1=g6_algstr_0(u1_struct_0(X1),u1_algstr_0(X1),u2_algstr_0(X1),u3_struct_0(X1),u2_struct_0(X1)))), file('e_trans2/e_trans2__t40_e_trans2', abstractness_v36_algstr_0)).
fof(t3_subset, axiom, ![X1, X2]:(m1_subset_1(X1,k1_zfmisc_1(X2))<=>r1_tarski(X1,X2)), file('e_trans2/e_trans2__t40_e_trans2', t3_subset)).
fof(cc2_borsuk_5, axiom, ![X1]:((v1_xreal_0(X1)&~(v1_rat_1(X1)))=>(~(v8_ordinal1(X1))&v1_xreal_0(X1))), file('e_trans2/e_trans2__t40_e_trans2', cc2_borsuk_5)).
fof(fc1_int_3, axiom, (~(v2_struct_0(k1_int_3))&v36_algstr_0(k1_int_3)), file('e_trans2/e_trans2__t40_e_trans2', fc1_int_3)).
fof(dt_l2_algstr_0, axiom, ![X1]:(l2_algstr_0(X1)=>(l2_struct_0(X1)&l1_algstr_0(X1))), file('e_trans2/e_trans2__t40_e_trans2', dt_l2_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__t40_e_trans2', dt_l6_algstr_0)).
fof(fc2_struct_0, axiom, ![X1]:((~(v2_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))), file('e_trans2/e_trans2__t40_e_trans2', fc2_struct_0)).
fof(dt_k2_relset_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v5_relat_1(X2,X1))=>m1_subset_1(k2_relset_1(X1,X2),k1_zfmisc_1(X1))), file('e_trans2/e_trans2__t40_e_trans2', dt_k2_relset_1)).
fof(rd1_rat_1, axiom, ![X1]:(v1_rat_1(X1)=>k10_subset_1(X1,k3_numbers)=X1), file('e_trans2/e_trans2__t40_e_trans2', rd1_rat_1)).
fof(dt_k1_int_3, axiom, l6_algstr_0(k1_int_3), file('e_trans2/e_trans2__t40_e_trans2', dt_k1_int_3)).
fof(d1_algseq_1, axiom, ![X1]:((~(v2_struct_0(X1))&l2_struct_0(X1))=>![X2]:(((v1_funct_1(X2)&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>(v1_polynom1(X2,X1)<=>?[X3]:(v7_ordinal1(X3)&![X4]:(v7_ordinal1(X4)=>(r1_xxreal_0(X3,X4)=>k1_funct_1(X2,X4)=k4_struct_0(X1))))))), file('e_trans2/e_trans2__t40_e_trans2', d1_algseq_1)).
fof(dt_k11_gaussint, axiom, ((~(v2_struct_0(k11_gaussint))&v36_algstr_0(k11_gaussint))&l6_algstr_0(k11_gaussint)), file('e_trans2/e_trans2__t40_e_trans2', dt_k11_gaussint)).
fof(cc2_xreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xreal_0(X1)), file('e_trans2/e_trans2__t40_e_trans2', cc2_xreal_0)).
fof(d6_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>k4_struct_0(X1)=u2_struct_0(X1)), file('e_trans2/e_trans2__t40_e_trans2', d6_struct_0)).
fof(rd5_int_1, axiom, ![X1]:(v1_int_1(X1)=>k10_subset_1(X1,k4_numbers)=X1), file('e_trans2/e_trans2__t40_e_trans2', rd5_int_1)).
fof(cc2_int_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_int_1(X1)), file('e_trans2/e_trans2__t40_e_trans2', cc2_int_1)).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0), file('e_trans2/e_trans2__t40_e_trans2', fc1_xboole_0)).
fof(dt_l2_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>l1_struct_0(X1)), file('e_trans2/e_trans2__t40_e_trans2', dt_l2_struct_0)).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1), file('e_trans2/e_trans2__t40_e_trans2', fc9_ordinal1)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('e_trans2/e_trans2__t40_e_trans2', redefinition_k5_numbers)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1), file('e_trans2/e_trans2__t40_e_trans2', fc8_ordinal1)).
fof(dt_k17_binop_2, axiom, ((v1_funct_1(k17_binop_2)&v1_funct_2(k17_binop_2,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers))&m1_subset_1(k17_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers)))), file('e_trans2/e_trans2__t40_e_trans2', dt_k17_binop_2)).
fof(d14_gaussint, axiom, k11_gaussint=g6_algstr_0(k3_numbers,k15_binop_2,k17_binop_2,k10_subset_1(np__1,k3_numbers),k10_subset_1(k5_numbers,k3_numbers)), file('e_trans2/e_trans2__t40_e_trans2', d14_gaussint)).
fof(dt_k15_binop_2, axiom, ((v1_funct_1(k15_binop_2)&v1_funct_2(k15_binop_2,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers))&m1_subset_1(k15_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers)))), file('e_trans2/e_trans2__t40_e_trans2', dt_k15_binop_2)).
fof(c_0_34, negated_conjecture, ~(![X1]:(((((v5_relat_1(X1,k4_numbers)&v1_funct_1(X1))&v1_funct_2(X1,k4_ordinal1,u1_struct_0(k11_gaussint)))&v1_polynom1(X1,k11_gaussint))&m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k11_gaussint)))))=>(((v1_funct_1(X1)&v1_funct_2(X1,k4_ordinal1,u1_struct_0(k1_int_3)))&v1_polynom1(X1,k1_int_3))&m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_int_3))))))), inference(assume_negation,[status(cth)],[t40_e_trans2])).
fof(c_0_35, plain, ![X57, X58, X59]:(~m1_subset_1(X59,k1_zfmisc_1(k2_zfmisc_1(X57,X58)))|v1_relat_1(X59)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])).
fof(c_0_36, negated_conjecture, (((((v5_relat_1(esk1_0,k4_numbers)&v1_funct_1(esk1_0))&v1_funct_2(esk1_0,k4_ordinal1,u1_struct_0(k11_gaussint)))&v1_polynom1(esk1_0,k11_gaussint))&m1_subset_1(esk1_0,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k11_gaussint)))))&(~v1_funct_1(esk1_0)|~v1_funct_2(esk1_0,k4_ordinal1,u1_struct_0(k1_int_3))|~v1_polynom1(esk1_0,k1_int_3)|~m1_subset_1(esk1_0,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_int_3)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])).
fof(c_0_37, plain, ![X62, X63, X64]:((v4_relat_1(X64,X62)|~m1_subset_1(X64,k1_zfmisc_1(k2_zfmisc_1(X62,X63))))&(v5_relat_1(X64,X63)|~m1_subset_1(X64,k1_zfmisc_1(k2_zfmisc_1(X62,X63))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_relset_1])])])).
fof(c_0_38, plain, ![X93, X94]:(~v1_relat_1(X94)|~v5_relat_1(X94,X93)|k2_relset_1(X93,X94)=k10_xtuple_0(X94)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_relset_1])])).
cnf(c_0_39, plain, (v1_relat_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_40, negated_conjecture, (m1_subset_1(esk1_0,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k11_gaussint))))), inference(split_conjunct,[status(thm)],[c_0_36])).
fof(c_0_41, plain, ![X81, X82, X83, X84, X85, X86, X87, X88, X89, X90]:(((((X81=X86|g6_algstr_0(X81,X82,X83,X84,X85)!=g6_algstr_0(X86,X87,X88,X89,X90)|(~v1_funct_1(X82)|~v1_funct_2(X82,k2_zfmisc_1(X81,X81),X81)|~m1_subset_1(X82,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X81,X81),X81)))|~v1_funct_1(X83)|~v1_funct_2(X83,k2_zfmisc_1(X81,X81),X81)|~m1_subset_1(X83,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X81,X81),X81)))|~m1_subset_1(X84,X81)|~m1_subset_1(X85,X81)))&(X82=X87|g6_algstr_0(X81,X82,X83,X84,X85)!=g6_algstr_0(X86,X87,X88,X89,X90)|(~v1_funct_1(X82)|~v1_funct_2(X82,k2_zfmisc_1(X81,X81),X81)|~m1_subset_1(X82,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X81,X81),X81)))|~v1_funct_1(X83)|~v1_funct_2(X83,k2_zfmisc_1(X81,X81),X81)|~m1_subset_1(X83,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X81,X81),X81)))|~m1_subset_1(X84,X81)|~m1_subset_1(X85,X81))))&(X83=X88|g6_algstr_0(X81,X82,X83,X84,X85)!=g6_algstr_0(X86,X87,X88,X89,X90)|(~v1_funct_1(X82)|~v1_funct_2(X82,k2_zfmisc_1(X81,X81),X81)|~m1_subset_1(X82,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X81,X81),X81)))|~v1_funct_1(X83)|~v1_funct_2(X83,k2_zfmisc_1(X81,X81),X81)|~m1_subset_1(X83,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X81,X81),X81)))|~m1_subset_1(X84,X81)|~m1_subset_1(X85,X81))))&(X84=X89|g6_algstr_0(X81,X82,X83,X84,X85)!=g6_algstr_0(X86,X87,X88,X89,X90)|(~v1_funct_1(X82)|~v1_funct_2(X82,k2_zfmisc_1(X81,X81),X81)|~m1_subset_1(X82,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X81,X81),X81)))|~v1_funct_1(X83)|~v1_funct_2(X83,k2_zfmisc_1(X81,X81),X81)|~m1_subset_1(X83,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X81,X81),X81)))|~m1_subset_1(X84,X81)|~m1_subset_1(X85,X81))))&(X85=X90|g6_algstr_0(X81,X82,X83,X84,X85)!=g6_algstr_0(X86,X87,X88,X89,X90)|(~v1_funct_1(X82)|~v1_funct_2(X82,k2_zfmisc_1(X81,X81),X81)|~m1_subset_1(X82,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X81,X81),X81)))|~v1_funct_1(X83)|~v1_funct_2(X83,k2_zfmisc_1(X81,X81),X81)|~m1_subset_1(X83,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X81,X81),X81)))|~m1_subset_1(X84,X81)|~m1_subset_1(X85,X81)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g6_algstr_0])])])])).
cnf(c_0_42, plain, (v5_relat_1(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X2)))), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_43, plain, (k2_relset_1(X2,X1)=k10_xtuple_0(X1)|~v1_relat_1(X1)|~v5_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_44, negated_conjecture, (v5_relat_1(esk1_0,k4_numbers)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_45, negated_conjecture, (v1_relat_1(esk1_0)), inference(spm,[status(thm)],[c_0_39, c_0_40])).
cnf(c_0_46, plain, (X1=X2|g6_algstr_0(X1,X3,X4,X5,X6)!=g6_algstr_0(X2,X7,X8,X9,X10)|~v1_funct_1(X3)|~v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1)))|~v1_funct_1(X4)|~v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1)))|~m1_subset_1(X5,X1)|~m1_subset_1(X6,X1)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_47, plain, (m1_subset_1(k22_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers)))), inference(split_conjunct,[status(thm)],[dt_k22_binop_2])).
cnf(c_0_48, plain, (v1_funct_2(k22_binop_2,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers)), inference(split_conjunct,[status(thm)],[dt_k22_binop_2])).
cnf(c_0_49, plain, (v1_funct_1(k22_binop_2)), inference(split_conjunct,[status(thm)],[dt_k22_binop_2])).
fof(c_0_50, plain, ![X73, X74]:m1_subset_1(k10_subset_1(X73,X74),X74), inference(variable_rename,[status(thm)],[dt_k10_subset_1])).
fof(c_0_51, plain, ![X97, X98, X99, X100]:((((v1_funct_1(X100)|X98=k1_xboole_0|~r1_tarski(k2_relset_1(X98,X100),X99)|(~v1_funct_1(X100)|~v1_funct_2(X100,X97,X98)|~m1_subset_1(X100,k1_zfmisc_1(k2_zfmisc_1(X97,X98)))))&(v1_funct_2(X100,X97,X99)|X98=k1_xboole_0|~r1_tarski(k2_relset_1(X98,X100),X99)|(~v1_funct_1(X100)|~v1_funct_2(X100,X97,X98)|~m1_subset_1(X100,k1_zfmisc_1(k2_zfmisc_1(X97,X98))))))&(m1_subset_1(X100,k1_zfmisc_1(k2_zfmisc_1(X97,X99)))|X98=k1_xboole_0|~r1_tarski(k2_relset_1(X98,X100),X99)|(~v1_funct_1(X100)|~v1_funct_2(X100,X97,X98)|~m1_subset_1(X100,k1_zfmisc_1(k2_zfmisc_1(X97,X98))))))&(((v1_funct_1(X100)|X97!=k1_xboole_0|~r1_tarski(k2_relset_1(X98,X100),X99)|(~v1_funct_1(X100)|~v1_funct_2(X100,X97,X98)|~m1_subset_1(X100,k1_zfmisc_1(k2_zfmisc_1(X97,X98)))))&(v1_funct_2(X100,X97,X99)|X97!=k1_xboole_0|~r1_tarski(k2_relset_1(X98,X100),X99)|(~v1_funct_1(X100)|~v1_funct_2(X100,X97,X98)|~m1_subset_1(X100,k1_zfmisc_1(k2_zfmisc_1(X97,X98))))))&(m1_subset_1(X100,k1_zfmisc_1(k2_zfmisc_1(X97,X99)))|X97!=k1_xboole_0|~r1_tarski(k2_relset_1(X98,X100),X99)|(~v1_funct_1(X100)|~v1_funct_2(X100,X97,X98)|~m1_subset_1(X100,k1_zfmisc_1(k2_zfmisc_1(X97,X98))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_funct_2])])])).
cnf(c_0_52, negated_conjecture, (v5_relat_1(esk1_0,u1_struct_0(k11_gaussint))), inference(spm,[status(thm)],[c_0_42, c_0_40])).
cnf(c_0_53, negated_conjecture, (k10_xtuple_0(esk1_0)=k2_relset_1(k4_numbers,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_45])])).
cnf(c_0_54, plain, (k4_numbers=X1|g6_algstr_0(k4_numbers,X2,k22_binop_2,X3,X4)!=g6_algstr_0(X1,X5,X6,X7,X8)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers)))|~m1_subset_1(X4,k4_numbers)|~m1_subset_1(X3,k4_numbers)|~v1_funct_2(X2,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers)|~v1_funct_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48]), c_0_49])])).
cnf(c_0_55, plain, (k1_int_3=g6_algstr_0(k4_numbers,k20_binop_2,k22_binop_2,k10_subset_1(np__1,k4_numbers),k10_subset_1(k5_numbers,k4_numbers))), inference(split_conjunct,[status(thm)],[d3_int_3])).
cnf(c_0_56, plain, (m1_subset_1(k20_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers)))), inference(split_conjunct,[status(thm)],[dt_k20_binop_2])).
cnf(c_0_57, plain, (m1_subset_1(k10_subset_1(X1,X2),X2)), inference(split_conjunct,[status(thm)],[c_0_50])).
cnf(c_0_58, plain, (v1_funct_2(k20_binop_2,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers)), inference(split_conjunct,[status(thm)],[dt_k20_binop_2])).
cnf(c_0_59, plain, (v1_funct_1(k20_binop_2)), inference(split_conjunct,[status(thm)],[dt_k20_binop_2])).
fof(c_0_60, plain, ![X56]:(~l6_algstr_0(X56)|(~v36_algstr_0(X56)|X56=g6_algstr_0(u1_struct_0(X56),u1_algstr_0(X56),u2_algstr_0(X56),u3_struct_0(X56),u2_struct_0(X56)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v36_algstr_0])])).
cnf(c_0_61, plain, (v1_funct_2(X1,X2,X3)|X4=k1_xboole_0|~r1_tarski(k2_relset_1(X4,X1),X3)|~v1_funct_1(X1)|~v1_funct_2(X1,X2,X4)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_62, negated_conjecture, (v1_funct_2(esk1_0,k4_ordinal1,u1_struct_0(k11_gaussint))), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_63, negated_conjecture, (v1_funct_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_64, negated_conjecture, (k2_relset_1(u1_struct_0(k11_gaussint),esk1_0)=k2_relset_1(k4_numbers,esk1_0)), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_52]), c_0_45])]), c_0_53])).
fof(c_0_65, plain, ![X95, X96]:((~m1_subset_1(X95,k1_zfmisc_1(X96))|r1_tarski(X95,X96))&(~r1_tarski(X95,X96)|m1_subset_1(X95,k1_zfmisc_1(X96)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])).
fof(c_0_66, plain, ![X1]:((v1_xreal_0(X1)&~v1_rat_1(X1))=>(~v8_ordinal1(X1)&v1_xreal_0(X1))), inference(fof_simplification,[status(thm)],[cc2_borsuk_5])).
cnf(c_0_67, plain, (k4_numbers=X1|g6_algstr_0(X1,X2,X3,X4,X5)!=k1_int_3), 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(spm,[status(thm)],[c_0_54, c_0_55]), c_0_56]), c_0_57]), c_0_57]), c_0_58]), c_0_59])])).
cnf(c_0_68, plain, (X1=g6_algstr_0(u1_struct_0(X1),u1_algstr_0(X1),u2_algstr_0(X1),u3_struct_0(X1),u2_struct_0(X1))|~l6_algstr_0(X1)|~v36_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_60])).
fof(c_0_69, plain, (~v2_struct_0(k1_int_3)&v36_algstr_0(k1_int_3)), inference(fof_simplification,[status(thm)],[fc1_int_3])).
fof(c_0_70, plain, ![X77]:((l2_struct_0(X77)|~l2_algstr_0(X77))&(l1_algstr_0(X77)|~l2_algstr_0(X77))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_algstr_0])])])).
fof(c_0_71, plain, ![X79]:((l2_algstr_0(X79)|~l6_algstr_0(X79))&(l5_algstr_0(X79)|~l6_algstr_0(X79))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
fof(c_0_72, plain, ![X1]:((~v2_struct_0(X1)&l1_struct_0(X1))=>~v1_xboole_0(u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[fc2_struct_0])).
cnf(c_0_73, negated_conjecture, (u1_struct_0(k11_gaussint)=k1_xboole_0|v1_funct_2(esk1_0,k4_ordinal1,X1)|~r1_tarski(k2_relset_1(k4_numbers,esk1_0),X1)), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_40]), c_0_62]), c_0_63])]), c_0_64])).
cnf(c_0_74, plain, (r1_tarski(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(X2))), inference(split_conjunct,[status(thm)],[c_0_65])).
fof(c_0_75, plain, ![X75, X76]:(~v1_relat_1(X76)|~v5_relat_1(X76,X75)|m1_subset_1(k2_relset_1(X75,X76),k1_zfmisc_1(X75))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_relset_1])])).
fof(c_0_76, plain, ![X91]:(~v1_rat_1(X91)|k10_subset_1(X91,k3_numbers)=X91), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd1_rat_1])])).
fof(c_0_77, plain, ![X60]:((~v8_ordinal1(X60)|(~v1_xreal_0(X60)|v1_rat_1(X60)))&(v1_xreal_0(X60)|(~v1_xreal_0(X60)|v1_rat_1(X60)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])).
cnf(c_0_78, plain, (u1_struct_0(X1)=k4_numbers|X1!=k1_int_3|~v36_algstr_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_67, c_0_68])).
cnf(c_0_79, plain, (v36_algstr_0(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_69])).
cnf(c_0_80, plain, (l6_algstr_0(k1_int_3)), inference(split_conjunct,[status(thm)],[dt_k1_int_3])).
cnf(c_0_81, plain, (l2_struct_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_70])).
cnf(c_0_82, plain, (l2_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_71])).
fof(c_0_83, plain, ![X1]:((~v2_struct_0(X1)&l2_struct_0(X1))=>![X2]:(((v1_funct_1(X2)&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>(v1_polynom1(X2,X1)<=>?[X3]:(v7_ordinal1(X3)&![X4]:(v7_ordinal1(X4)=>(r1_xxreal_0(X3,X4)=>k1_funct_1(X2,X4)=k4_struct_0(X1))))))), inference(fof_simplification,[status(thm)],[d1_algseq_1])).
cnf(c_0_84, plain, (m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))|X4=k1_xboole_0|~r1_tarski(k2_relset_1(X4,X1),X3)|~v1_funct_1(X1)|~v1_funct_2(X1,X2,X4)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))), inference(split_conjunct,[status(thm)],[c_0_51])).
fof(c_0_85, plain, ![X80]:(v2_struct_0(X80)|~l1_struct_0(X80)|~v1_xboole_0(u1_struct_0(X80))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])).
cnf(c_0_86, negated_conjecture, (u1_struct_0(k11_gaussint)=k1_xboole_0|v1_funct_2(esk1_0,k4_ordinal1,X1)|~m1_subset_1(k2_relset_1(k4_numbers,esk1_0),k1_zfmisc_1(X1))), inference(spm,[status(thm)],[c_0_73, c_0_74])).
cnf(c_0_87, plain, (m1_subset_1(k2_relset_1(X2,X1),k1_zfmisc_1(X2))|~v1_relat_1(X1)|~v5_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_75])).
fof(c_0_88, plain, ((~v2_struct_0(k11_gaussint)&v36_algstr_0(k11_gaussint))&l6_algstr_0(k11_gaussint)), inference(fof_simplification,[status(thm)],[dt_k11_gaussint])).
cnf(c_0_89, plain, (k10_subset_1(X1,k3_numbers)=X1|~v1_rat_1(X1)), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_90, plain, (v1_rat_1(X1)|~v8_ordinal1(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_77])).
fof(c_0_91, plain, ![X65]:(~v7_ordinal1(X65)|v1_xreal_0(X65)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xreal_0])])).
cnf(c_0_92, plain, (X1=X2|g6_algstr_0(X3,X4,X5,X6,X1)!=g6_algstr_0(X7,X8,X9,X10,X2)|~v1_funct_1(X4)|~v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))|~v1_funct_1(X5)|~v1_funct_2(X5,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))|~m1_subset_1(X6,X3)|~m1_subset_1(X1,X3)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_93, plain, (u1_struct_0(k1_int_3)=k4_numbers), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_79]), c_0_80])])).
fof(c_0_94, plain, ![X72]:(~l2_struct_0(X72)|k4_struct_0(X72)=u2_struct_0(X72)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_struct_0])])).
cnf(c_0_95, plain, (l2_struct_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_81, c_0_82])).
fof(c_0_96, plain, ![X92]:(~v1_int_1(X92)|k10_subset_1(X92,k4_numbers)=X92), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd5_int_1])])).
fof(c_0_97, plain, ![X61]:(~v7_ordinal1(X61)|v1_int_1(X61)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_int_1])])).
fof(c_0_98, plain, ![X66, X67, X69, X70]:(((v7_ordinal1(esk2_2(X66,X67))|~v1_polynom1(X67,X66)|(~v1_funct_1(X67)|~v1_funct_2(X67,k4_ordinal1,u1_struct_0(X66))|~m1_subset_1(X67,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X66)))))|(v2_struct_0(X66)|~l2_struct_0(X66)))&(~v7_ordinal1(X69)|(~r1_xxreal_0(esk2_2(X66,X67),X69)|k1_funct_1(X67,X69)=k4_struct_0(X66))|~v1_polynom1(X67,X66)|(~v1_funct_1(X67)|~v1_funct_2(X67,k4_ordinal1,u1_struct_0(X66))|~m1_subset_1(X67,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X66)))))|(v2_struct_0(X66)|~l2_struct_0(X66))))&((v7_ordinal1(esk3_3(X66,X67,X70))|~v7_ordinal1(X70)|v1_polynom1(X67,X66)|(~v1_funct_1(X67)|~v1_funct_2(X67,k4_ordinal1,u1_struct_0(X66))|~m1_subset_1(X67,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X66)))))|(v2_struct_0(X66)|~l2_struct_0(X66)))&((r1_xxreal_0(X70,esk3_3(X66,X67,X70))|~v7_ordinal1(X70)|v1_polynom1(X67,X66)|(~v1_funct_1(X67)|~v1_funct_2(X67,k4_ordinal1,u1_struct_0(X66))|~m1_subset_1(X67,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X66)))))|(v2_struct_0(X66)|~l2_struct_0(X66)))&(k1_funct_1(X67,esk3_3(X66,X67,X70))!=k4_struct_0(X66)|~v7_ordinal1(X70)|v1_polynom1(X67,X66)|(~v1_funct_1(X67)|~v1_funct_2(X67,k4_ordinal1,u1_struct_0(X66))|~m1_subset_1(X67,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X66)))))|(v2_struct_0(X66)|~l2_struct_0(X66)))))), 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_83])])])])])).
cnf(c_0_99, negated_conjecture, (u1_struct_0(k11_gaussint)=k1_xboole_0|m1_subset_1(esk1_0,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X1)))|~r1_tarski(k2_relset_1(k4_numbers,esk1_0),X1)), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_40]), c_0_62]), c_0_63])]), c_0_64])).
cnf(c_0_100, plain, (v2_struct_0(X1)|~l1_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_85])).
cnf(c_0_101, negated_conjecture, (u1_struct_0(k11_gaussint)=k1_xboole_0|v1_funct_2(esk1_0,k4_ordinal1,k4_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_87]), c_0_45]), c_0_44])])).
cnf(c_0_102, plain, (v1_xboole_0(k1_xboole_0)), inference(split_conjunct,[status(thm)],[fc1_xboole_0])).
cnf(c_0_103, plain, (~v2_struct_0(k11_gaussint)), inference(split_conjunct,[status(thm)],[c_0_88])).
fof(c_0_104, plain, ![X78]:(~l2_struct_0(X78)|l1_struct_0(X78)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_struct_0])])).
cnf(c_0_105, plain, (l6_algstr_0(k11_gaussint)), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_106, plain, (k10_subset_1(X1,k3_numbers)=X1|~v8_ordinal1(X1)|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_89, c_0_90])).
cnf(c_0_107, plain, (v1_xreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_91])).
cnf(c_0_108, plain, (v8_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc9_ordinal1])).
cnf(c_0_109, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
cnf(c_0_110, plain, (v7_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc8_ordinal1])).
cnf(c_0_111, plain, (X1=X2|g6_algstr_0(k4_numbers,X3,k22_binop_2,X4,X1)!=g6_algstr_0(X5,X6,X7,X8,X2)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers)))|~m1_subset_1(X4,k4_numbers)|~m1_subset_1(X1,k4_numbers)|~v1_funct_2(X3,k2_zfmisc_1(k4_numbers,k4_numbers),k4_numbers)|~v1_funct_1(X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_47]), c_0_48]), c_0_49])])).
cnf(c_0_112, plain, (g6_algstr_0(k4_numbers,u1_algstr_0(k1_int_3),u2_algstr_0(k1_int_3),u3_struct_0(k1_int_3),u2_struct_0(k1_int_3))=k1_int_3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_93]), c_0_79]), c_0_80])])).
cnf(c_0_113, plain, (k4_struct_0(X1)=u2_struct_0(X1)|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_94])).
cnf(c_0_114, plain, (l2_struct_0(k1_int_3)), inference(spm,[status(thm)],[c_0_95, c_0_80])).
cnf(c_0_115, plain, (k10_subset_1(X1,k4_numbers)=X1|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_96])).
cnf(c_0_116, plain, (v1_int_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_97])).
cnf(c_0_117, plain, (r1_xxreal_0(X1,esk3_3(X2,X3,X1))|v1_polynom1(X3,X2)|v2_struct_0(X2)|~v7_ordinal1(X1)|~v1_funct_1(X3)|~v1_funct_2(X3,k4_ordinal1,u1_struct_0(X2))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X2))))|~l2_struct_0(X2)), inference(split_conjunct,[status(thm)],[c_0_98])).
cnf(c_0_118, plain, (~v2_struct_0(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_69])).
cnf(c_0_119, negated_conjecture, (u1_struct_0(k11_gaussint)=k1_xboole_0|m1_subset_1(esk1_0,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X1)))|~m1_subset_1(k2_relset_1(k4_numbers,esk1_0),k1_zfmisc_1(X1))), inference(spm,[status(thm)],[c_0_99, c_0_74])).
cnf(c_0_120, negated_conjecture, (v1_funct_2(esk1_0,k4_ordinal1,k4_numbers)|~l1_struct_0(k11_gaussint)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_101]), c_0_102])]), c_0_103])).
cnf(c_0_121, plain, (l1_struct_0(X1)|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_104])).
cnf(c_0_122, plain, (l2_struct_0(k11_gaussint)), inference(spm,[status(thm)],[c_0_95, c_0_105])).
cnf(c_0_123, plain, (v7_ordinal1(esk2_2(X1,X2))|v2_struct_0(X1)|~v1_polynom1(X2,X1)|~v1_funct_1(X2)|~v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_98])).
cnf(c_0_124, negated_conjecture, (v1_polynom1(esk1_0,k11_gaussint)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_125, plain, (v7_ordinal1(esk3_3(X1,X2,X3))|v1_polynom1(X2,X1)|v2_struct_0(X1)|~v7_ordinal1(X3)|~v1_funct_1(X2)|~v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_98])).
cnf(c_0_126, plain, (k10_subset_1(X1,k3_numbers)=X1|~v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(spm,[status(thm)],[c_0_106, c_0_107])).
cnf(c_0_127, plain, (v8_ordinal1(k5_numbers)), inference(rw,[status(thm)],[c_0_108, c_0_109])).
cnf(c_0_128, plain, (v7_ordinal1(k5_numbers)), inference(rw,[status(thm)],[c_0_110, c_0_109])).
cnf(c_0_129, plain, (v1_polynom1(X1,X2)|v2_struct_0(X2)|k1_funct_1(X1,esk3_3(X2,X1,X3))!=k4_struct_0(X2)|~v7_ordinal1(X3)|~v1_funct_1(X1)|~v1_funct_2(X1,k4_ordinal1,u1_struct_0(X2))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X2))))|~l2_struct_0(X2)), inference(split_conjunct,[status(thm)],[c_0_98])).
cnf(c_0_130, plain, (k10_subset_1(k5_numbers,k4_numbers)=X1|g6_algstr_0(X2,X3,X4,X5,X1)!=k1_int_3), 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(spm,[status(thm)],[c_0_111, c_0_55]), c_0_56]), c_0_57]), c_0_57]), c_0_58]), c_0_59])])).
cnf(c_0_131, plain, (g6_algstr_0(k4_numbers,u1_algstr_0(k1_int_3),u2_algstr_0(k1_int_3),u3_struct_0(k1_int_3),k4_struct_0(k1_int_3))=k1_int_3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_113]), c_0_114])])).
cnf(c_0_132, plain, (k10_subset_1(X1,k4_numbers)=X1|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_115, c_0_116])).
cnf(c_0_133, plain, (k1_funct_1(X3,X1)=k4_struct_0(X2)|v2_struct_0(X2)|~v7_ordinal1(X1)|~r1_xxreal_0(esk2_2(X2,X3),X1)|~v1_polynom1(X3,X2)|~v1_funct_1(X3)|~v1_funct_2(X3,k4_ordinal1,u1_struct_0(X2))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X2))))|~l2_struct_0(X2)), inference(split_conjunct,[status(thm)],[c_0_98])).
cnf(c_0_134, plain, (r1_xxreal_0(X1,esk3_3(k1_int_3,X2,X1))|v1_polynom1(X2,k1_int_3)|~v7_ordinal1(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers)))|~v1_funct_2(X2,k4_ordinal1,k4_numbers)|~v1_funct_1(X2)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117, c_0_93]), c_0_114])]), c_0_118])).
cnf(c_0_135, negated_conjecture, (u1_struct_0(k11_gaussint)=k1_xboole_0|m1_subset_1(esk1_0,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_87]), c_0_45]), c_0_44])])).
cnf(c_0_136, negated_conjecture, (v1_funct_2(esk1_0,k4_ordinal1,k4_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_121]), c_0_122])])).
cnf(c_0_137, negated_conjecture, (v7_ordinal1(esk2_2(k11_gaussint,esk1_0))|~l2_struct_0(k11_gaussint)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_40]), c_0_124]), c_0_62]), c_0_63])]), c_0_103])).
cnf(c_0_138, plain, (v7_ordinal1(esk3_3(k1_int_3,X1,X2))|v1_polynom1(X1,k1_int_3)|~v7_ordinal1(X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers)))|~v1_funct_2(X1,k4_ordinal1,k4_numbers)|~v1_funct_1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_93]), c_0_114])]), c_0_118])).
cnf(c_0_139, plain, (m1_subset_1(k17_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers)))), inference(split_conjunct,[status(thm)],[dt_k17_binop_2])).
cnf(c_0_140, plain, (v1_funct_2(k17_binop_2,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers)), inference(split_conjunct,[status(thm)],[dt_k17_binop_2])).
cnf(c_0_141, plain, (v1_funct_1(k17_binop_2)), inference(split_conjunct,[status(thm)],[dt_k17_binop_2])).
cnf(c_0_142, plain, (k11_gaussint=g6_algstr_0(k3_numbers,k15_binop_2,k17_binop_2,k10_subset_1(np__1,k3_numbers),k10_subset_1(k5_numbers,k3_numbers))), inference(split_conjunct,[status(thm)],[d14_gaussint])).
cnf(c_0_143, plain, (k10_subset_1(k5_numbers,k3_numbers)=k5_numbers), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126, c_0_127]), c_0_128])])).
cnf(c_0_144, plain, (v1_polynom1(X1,k1_int_3)|k1_funct_1(X1,esk3_3(k1_int_3,X1,X2))!=k4_struct_0(k1_int_3)|~v7_ordinal1(X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers)))|~v1_funct_2(X1,k4_ordinal1,k4_numbers)|~v1_funct_1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129, c_0_93]), c_0_114])]), c_0_118])).
cnf(c_0_145, plain, (k4_struct_0(k1_int_3)=k10_subset_1(k5_numbers,k4_numbers)), inference(spm,[status(thm)],[c_0_130, c_0_131])).
cnf(c_0_146, plain, (g6_algstr_0(k4_numbers,k20_binop_2,k22_binop_2,k10_subset_1(np__1,k4_numbers),k5_numbers)=k1_int_3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_132]), c_0_128])])).
cnf(c_0_147, negated_conjecture, (k1_funct_1(esk1_0,X1)=k4_struct_0(k11_gaussint)|~r1_xxreal_0(esk2_2(k11_gaussint,esk1_0),X1)|~l2_struct_0(k11_gaussint)|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133, c_0_40]), c_0_124]), c_0_62]), c_0_63])]), c_0_103])).
cnf(c_0_148, negated_conjecture, (u1_struct_0(k11_gaussint)=k1_xboole_0|r1_xxreal_0(X1,esk3_3(k1_int_3,esk1_0,X1))|v1_polynom1(esk1_0,k1_int_3)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134, c_0_135]), c_0_136]), c_0_63])])).
cnf(c_0_149, negated_conjecture, (v7_ordinal1(esk2_2(k11_gaussint,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137, c_0_122])])).
cnf(c_0_150, negated_conjecture, (u1_struct_0(k11_gaussint)=k1_xboole_0|v7_ordinal1(esk3_3(k1_int_3,esk1_0,X1))|v1_polynom1(esk1_0,k1_int_3)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138, c_0_135]), c_0_136]), c_0_63])])).
cnf(c_0_151, plain, (X1=X2|g6_algstr_0(k3_numbers,X3,k17_binop_2,X4,X1)!=g6_algstr_0(X5,X6,X7,X8,X2)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers)))|~m1_subset_1(X4,k3_numbers)|~m1_subset_1(X1,k3_numbers)|~v1_funct_2(X3,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers)|~v1_funct_1(X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_139]), c_0_140]), c_0_141])])).
cnf(c_0_152, plain, (g6_algstr_0(k3_numbers,k15_binop_2,k17_binop_2,k10_subset_1(np__1,k3_numbers),k5_numbers)=k11_gaussint), inference(rw,[status(thm)],[c_0_142, c_0_143])).
cnf(c_0_153, plain, (m1_subset_1(k15_binop_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers)))), inference(split_conjunct,[status(thm)],[dt_k15_binop_2])).
cnf(c_0_154, plain, (m1_subset_1(k5_numbers,k3_numbers)), inference(spm,[status(thm)],[c_0_57, c_0_143])).
cnf(c_0_155, plain, (v1_funct_2(k15_binop_2,k2_zfmisc_1(k3_numbers,k3_numbers),k3_numbers)), inference(split_conjunct,[status(thm)],[dt_k15_binop_2])).
cnf(c_0_156, plain, (v1_funct_1(k15_binop_2)), inference(split_conjunct,[status(thm)],[dt_k15_binop_2])).
cnf(c_0_157, negated_conjecture, (~v1_funct_1(esk1_0)|~v1_funct_2(esk1_0,k4_ordinal1,u1_struct_0(k1_int_3))|~v1_polynom1(esk1_0,k1_int_3)|~m1_subset_1(esk1_0,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_int_3))))), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_158, plain, (v1_polynom1(X1,k1_int_3)|k1_funct_1(X1,esk3_3(k1_int_3,X1,X2))!=k10_subset_1(k5_numbers,k4_numbers)|~v7_ordinal1(X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers)))|~v1_funct_2(X1,k4_ordinal1,k4_numbers)|~v1_funct_1(X1)), inference(rw,[status(thm)],[c_0_144, c_0_145])).
cnf(c_0_159, plain, (k10_subset_1(k5_numbers,k4_numbers)=k5_numbers), inference(spm,[status(thm)],[c_0_130, c_0_146])).
cnf(c_0_160, negated_conjecture, (k1_funct_1(esk1_0,X1)=k4_struct_0(k11_gaussint)|~r1_xxreal_0(esk2_2(k11_gaussint,esk1_0),X1)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147, c_0_122])])).
cnf(c_0_161, negated_conjecture, (u1_struct_0(k11_gaussint)=k1_xboole_0|r1_xxreal_0(esk2_2(k11_gaussint,esk1_0),esk3_3(k1_int_3,esk1_0,esk2_2(k11_gaussint,esk1_0)))|v1_polynom1(esk1_0,k1_int_3)), inference(spm,[status(thm)],[c_0_148, c_0_149])).
cnf(c_0_162, negated_conjecture, (u1_struct_0(k11_gaussint)=k1_xboole_0|v7_ordinal1(esk3_3(k1_int_3,esk1_0,esk2_2(k11_gaussint,esk1_0)))|v1_polynom1(esk1_0,k1_int_3)), inference(spm,[status(thm)],[c_0_150, c_0_149])).
cnf(c_0_163, plain, (k5_numbers=X1|g6_algstr_0(X2,X3,X4,X5,X1)!=k11_gaussint), 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(spm,[status(thm)],[c_0_151, c_0_152]), c_0_153]), c_0_57]), c_0_154]), c_0_155]), c_0_156])])).
cnf(c_0_164, negated_conjecture, (~m1_subset_1(esk1_0,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(k1_int_3))))|~v1_polynom1(esk1_0,k1_int_3)|~v1_funct_2(esk1_0,k4_ordinal1,u1_struct_0(k1_int_3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_157, c_0_63])])).
cnf(c_0_165, plain, (v1_polynom1(X1,k1_int_3)|k1_funct_1(X1,esk3_3(k1_int_3,X1,X2))!=k5_numbers|~v7_ordinal1(X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers)))|~v1_funct_2(X1,k4_ordinal1,k4_numbers)|~v1_funct_1(X1)), inference(rw,[status(thm)],[c_0_158, c_0_159])).
cnf(c_0_166, negated_conjecture, (k1_funct_1(esk1_0,esk3_3(k1_int_3,esk1_0,esk2_2(k11_gaussint,esk1_0)))=k4_struct_0(k11_gaussint)|u1_struct_0(k11_gaussint)=k1_xboole_0|v1_polynom1(esk1_0,k1_int_3)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160, c_0_161]), c_0_162])).
cnf(c_0_167, plain, (u2_struct_0(X1)=k5_numbers|X1!=k11_gaussint|~v36_algstr_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_163, c_0_68])).
cnf(c_0_168, negated_conjecture, (~m1_subset_1(esk1_0,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers)))|~v1_polynom1(esk1_0,k1_int_3)|~v1_funct_2(esk1_0,k4_ordinal1,k4_numbers)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_164, c_0_93]), c_0_93])).
cnf(c_0_169, negated_conjecture, (u1_struct_0(k11_gaussint)=k1_xboole_0|v1_polynom1(esk1_0,k1_int_3)|k4_struct_0(k11_gaussint)!=k5_numbers), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165, c_0_166]), c_0_149]), c_0_136]), c_0_63])]), c_0_135])).
cnf(c_0_170, plain, (k4_struct_0(X1)=k5_numbers|X1!=k11_gaussint|~v36_algstr_0(X1)|~l6_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_167]), c_0_95])).
cnf(c_0_171, plain, (v36_algstr_0(k11_gaussint)), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_172, negated_conjecture, (~m1_subset_1(esk1_0,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k4_numbers)))|~v1_polynom1(esk1_0,k1_int_3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168, c_0_136])])).
cnf(c_0_173, negated_conjecture, (u1_struct_0(k11_gaussint)=k1_xboole_0|v1_polynom1(esk1_0,k1_int_3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169, c_0_170]), c_0_171]), c_0_105])])).
cnf(c_0_174, negated_conjecture, (u1_struct_0(k11_gaussint)=k1_xboole_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172, c_0_173]), c_0_135])).
cnf(c_0_175, negated_conjecture, (~l1_struct_0(k11_gaussint)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_174]), c_0_102])]), c_0_103])).
cnf(c_0_176, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175, c_0_121]), c_0_122])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 177
# Proof object clause steps            : 116
# Proof object formula steps           : 61
# Proof object conjectures             : 38
# Proof object clause conjectures      : 35
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 56
# Proof object initial formulas used   : 34
# Proof object generating inferences   : 50
# Proof object simplifying inferences  : 118
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 34
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 68
# Removed in clause preprocessing      : 3
# Initial clauses in saturation        : 65
# Processed clauses                    : 694
# ...of these trivial                  : 5
# ...subsumed                          : 216
# ...remaining for further processing  : 473
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 71
# Backward-rewritten                   : 35
# Generated clauses                    : 1390
# ...of the previous two non-trivial   : 1326
# Contextual simplify-reflections      : 20
# Paramodulations                      : 1368
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 22
# 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  : 367
#    Positive orientable unit clauses  : 65
#    Positive unorientable unit clauses: 1
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 297
# Current number of unprocessed clauses: 663
# ...number of literals in the above   : 4054
# Current number of archived formulas  : 0
# Current number of archived clauses   : 106
# Clause-clause subsumption calls (NU) : 38457
# Rec. Clause-clause subsumption calls : 4677
# Non-unit clause-clause subsumptions  : 302
# Unit Clause-clause subsumption calls : 1582
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 20
# BW rewrite match successes           : 14
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 46585

# -------------------------------------------------
# User time                : 0.107 s
# System time              : 0.007 s
# Total time               : 0.113 s
# Maximum resident set size: 3408 pages
