# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_AE_CS_SP_PS_S0V
# and selection function PSelectComplexExceptRRHorn.
#
# Preprocessing time       : 0.024 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(redefinition_m1_ring_4, axiom, ![X1, X2]:((((~(v2_struct_0(X1))&l2_struct_0(X1))&~(v1_xboole_0(X2)))&v1_ring_4(X2,X1))=>![X3]:(m1_ring_4(X3,X1,X2)<=>m1_subset_1(X3,X2))), file('e_trans1/e_trans1__l65_e_trans1', redefinition_m1_ring_4)).
fof(l65_e_trans1, conjecture, ![X1]:((v1_xreal_0(X1)&v2_xxreal_0(X1))=>![X2]:(m1_ring_4(X2,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))=>v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(X2),k1_rcomp_1(k5_numbers,X1))))), file('e_trans1/e_trans1__l65_e_trans1', l65_e_trans1)).
fof(fc2_ring_4, axiom, ![X1]:((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))&v2_ring_4(k12_polynom3(X1),X1))), file('e_trans1/e_trans1__l65_e_trans1', fc2_ring_4)).
fof(dt_k12_polynom3, axiom, ![X1]:((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))&l6_algstr_0(k12_polynom3(X1)))), file('e_trans1/e_trans1__l65_e_trans1', dt_k12_polynom3)).
fof(fc1_int_3, axiom, (~(v2_struct_0(k1_int_3))&v36_algstr_0(k1_int_3)), file('e_trans1/e_trans1__l65_e_trans1', fc1_int_3)).
fof(dt_l2_algstr_0, axiom, ![X1]:(l2_algstr_0(X1)=>(l2_struct_0(X1)&l1_algstr_0(X1))), file('e_trans1/e_trans1__l65_e_trans1', 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_trans1/e_trans1__l65_e_trans1', dt_l6_algstr_0)).
fof(fc1_ring_4, axiom, ![X1, X2]:(((((~(v2_struct_0(X1))&l2_struct_0(X1))&~(v2_struct_0(X2)))&v2_ring_4(X2,X1))&l1_struct_0(X2))=>v1_ring_4(u1_struct_0(X2),X1)), file('e_trans1/e_trans1__l65_e_trans1', fc1_ring_4)).
fof(fc4_int_3, axiom, ((((((((~(v6_struct_0(k1_int_3))&v13_algstr_0(k1_int_3))&v3_group_1(k1_int_3))&v5_group_1(k1_int_3))&v2_rlvect_1(k1_int_3))&v3_rlvect_1(k1_int_3))&v4_rlvect_1(k1_int_3))&v5_vectsp_1(k1_int_3))&v1_vectsp_2(k1_int_3)), file('e_trans1/e_trans1__l65_e_trans1', fc4_int_3)).
fof(dt_k1_int_3, axiom, l6_algstr_0(k1_int_3), file('e_trans1/e_trans1__l65_e_trans1', dt_k1_int_3)).
fof(dt_l1_algstr_0, axiom, ![X1]:(l1_algstr_0(X1)=>l1_struct_0(X1)), file('e_trans1/e_trans1__l65_e_trans1', dt_l1_algstr_0)).
fof(fc9_struct_0, axiom, ![X1]:((~(v8_struct_0(X1))&l1_struct_0(X1))=>~(v1_finset_1(u1_struct_0(X1)))), file('e_trans1/e_trans1__l65_e_trans1', fc9_struct_0)).
fof(cc1_finset_1, axiom, ![X1]:(v1_xboole_0(X1)=>v1_finset_1(X1)), file('e_trans1/e_trans1__l65_e_trans1', cc1_finset_1)).
fof(d3_tarski, axiom, ![X1, X2]:(r1_tarski(X1,X2)<=>![X3]:(r2_hidden(X3,X1)=>r2_hidden(X3,X2))), file('e_trans1/e_trans1__l65_e_trans1', d3_tarski)).
fof(t3_subset, axiom, ![X1, X2]:(m1_subset_1(X1,k1_zfmisc_1(X2))<=>r1_tarski(X1,X2)), file('e_trans1/e_trans1__l65_e_trans1', t3_subset)).
fof(fc17_ring_4, axiom, ![X1]:((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&~(v8_struct_0(k12_polynom3(X1))))&v36_algstr_0(k12_polynom3(X1)))), file('e_trans1/e_trans1__l65_e_trans1', fc17_ring_4)).
fof(dt_k9_e_trans1, axiom, ![X1]:(m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))=>((v1_funct_1(k9_e_trans1(X1))&v1_funct_2(k9_e_trans1(X1),k1_numbers,k1_numbers))&m1_subset_1(k9_e_trans1(X1),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))), file('e_trans1/e_trans1__l65_e_trans1', dt_k9_e_trans1)).
fof(fc3_int_3, axiom, v4_vectsp_1(k1_int_3), file('e_trans1/e_trans1__l65_e_trans1', fc3_int_3)).
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_trans1/e_trans1__l65_e_trans1', cc2_relset_1)).
fof(dt_k2_partfun1, axiom, ![X1, X2, X3, X4]:((v1_funct_1(X3)&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))=>(v1_funct_1(k2_partfun1(X1,X2,X3,X4))&m1_subset_1(k2_partfun1(X1,X2,X3,X4),k1_zfmisc_1(k2_zfmisc_1(X1,X2))))), file('e_trans1/e_trans1__l65_e_trans1', dt_k2_partfun1)).
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_trans1/e_trans1__l65_e_trans1', cc1_relset_1)).
fof(redefinition_k2_partfun1, axiom, ![X1, X2, X3, X4]:((v1_funct_1(X3)&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))=>k2_partfun1(X1,X2,X3,X4)=k5_relat_1(X3,X4)), file('e_trans1/e_trans1__l65_e_trans1', redefinition_k2_partfun1)).
fof(l62_e_trans1, axiom, ![X1]:(m1_ring_4(X1,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))=>(k1_relset_1(k1_numbers,k9_e_trans1(X1))=k1_numbers&k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k22_sin_cos),k9_e_trans1(X1)))=k1_numbers)), file('e_trans1/e_trans1__l65_e_trans1', l62_e_trans1)).
fof(d2_fcont_1, axiom, ![X1]:((v1_funct_1(X1)&m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))=>(v1_fcont_1(X1)<=>![X2]:(v1_xreal_0(X2)=>(r2_hidden(X2,k1_relset_1(k1_numbers,X1))=>r1_fcont_1(X1,X2))))), file('e_trans1/e_trans1__l65_e_trans1', d2_fcont_1)).
fof(redefinition_k1_relset_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v4_relat_1(X2,X1))=>k1_relset_1(X1,X2)=k9_xtuple_0(X2)), file('e_trans1/e_trans1__l65_e_trans1', redefinition_k1_relset_1)).
fof(dt_k1_rcomp_1, axiom, ![X1, X2]:((v1_xreal_0(X1)&v1_xreal_0(X2))=>m1_subset_1(k1_rcomp_1(X1,X2),k1_zfmisc_1(k1_numbers))), file('e_trans1/e_trans1__l65_e_trans1', dt_k1_rcomp_1)).
fof(t62_relat_1, axiom, ![X1, X2]:(v1_relat_1(X2)=>(r1_tarski(X1,k9_xtuple_0(X2))=>k9_xtuple_0(k5_relat_1(X2,X1))=X1)), file('e_trans1/e_trans1__l65_e_trans1', t62_relat_1)).
fof(cc2_xreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xreal_0(X1)), file('e_trans1/e_trans1__l65_e_trans1', cc2_xreal_0)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1), file('e_trans1/e_trans1__l65_e_trans1', fc8_ordinal1)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('e_trans1/e_trans1__l65_e_trans1', redefinition_k5_numbers)).
fof(t1_fcont_1, axiom, ![X1, X2]:(v1_xreal_0(X2)=>![X3]:((v1_funct_1(X3)&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))=>((r2_hidden(X2,X1)&r1_fcont_1(X3,X2))=>r1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,X3,X1),X2)))), file('e_trans1/e_trans1__l65_e_trans1', t1_fcont_1)).
fof(cc1_polydiff, axiom, ![X1]:(m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))=>(((v1_funct_1(X1)&v1_funct_2(X1,k1_numbers,k1_numbers))&v4_fdiff_1(X1))=>((v1_funct_1(X1)&v1_funct_2(X1,k1_numbers,k1_numbers))&v1_fcont_1(X1)))), file('e_trans1/e_trans1__l65_e_trans1', cc1_polydiff)).
fof(fc5_e_trans1, axiom, ![X1]:(m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))=>((v1_funct_1(k9_e_trans1(X1))&v1_funct_2(k9_e_trans1(X1),k1_numbers,k1_numbers))&v4_fdiff_1(k9_e_trans1(X1)))), file('e_trans1/e_trans1__l65_e_trans1', fc5_e_trans1)).
fof(c_0_33, plain, ![X1, X2]:((((~v2_struct_0(X1)&l2_struct_0(X1))&~v1_xboole_0(X2))&v1_ring_4(X2,X1))=>![X3]:(m1_ring_4(X3,X1,X2)<=>m1_subset_1(X3,X2))), inference(fof_simplification,[status(thm)],[redefinition_m1_ring_4])).
fof(c_0_34, negated_conjecture, ~(![X1]:((v1_xreal_0(X1)&v2_xxreal_0(X1))=>![X2]:(m1_ring_4(X2,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))=>v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(X2),k1_rcomp_1(k5_numbers,X1)))))), inference(assume_negation,[status(cth)],[l65_e_trans1])).
fof(c_0_35, plain, ![X1]:((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~v2_struct_0(k12_polynom3(X1))&v36_algstr_0(k12_polynom3(X1)))&v2_ring_4(k12_polynom3(X1),X1))), inference(fof_simplification,[status(thm)],[fc2_ring_4])).
fof(c_0_36, plain, ![X1]:((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~v2_struct_0(k12_polynom3(X1))&v36_algstr_0(k12_polynom3(X1)))&l6_algstr_0(k12_polynom3(X1)))), inference(fof_simplification,[status(thm)],[dt_k12_polynom3])).
fof(c_0_37, plain, ![X103, X104, X105]:((~m1_ring_4(X105,X103,X104)|m1_subset_1(X105,X104)|(v2_struct_0(X103)|~l2_struct_0(X103)|v1_xboole_0(X104)|~v1_ring_4(X104,X103)))&(~m1_subset_1(X105,X104)|m1_ring_4(X105,X103,X104)|(v2_struct_0(X103)|~l2_struct_0(X103)|v1_xboole_0(X104)|~v1_ring_4(X104,X103)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])])).
fof(c_0_38, negated_conjecture, ((v1_xreal_0(esk1_0)&v2_xxreal_0(esk1_0))&(m1_ring_4(esk2_0,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))&~v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),k1_rcomp_1(k5_numbers,esk1_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])).
fof(c_0_39, plain, (~v2_struct_0(k1_int_3)&v36_algstr_0(k1_int_3)), inference(fof_simplification,[status(thm)],[fc1_int_3])).
fof(c_0_40, plain, ![X86]:((l2_struct_0(X86)|~l2_algstr_0(X86))&(l1_algstr_0(X86)|~l2_algstr_0(X86))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_algstr_0])])])).
fof(c_0_41, plain, ![X89]:((l2_algstr_0(X89)|~l6_algstr_0(X89))&(l5_algstr_0(X89)|~l6_algstr_0(X89))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
fof(c_0_42, plain, ![X1, X2]:(((((~v2_struct_0(X1)&l2_struct_0(X1))&~v2_struct_0(X2))&v2_ring_4(X2,X1))&l1_struct_0(X2))=>v1_ring_4(u1_struct_0(X2),X1)), inference(fof_simplification,[status(thm)],[fc1_ring_4])).
fof(c_0_43, plain, ![X93]:(((~v2_struct_0(k12_polynom3(X93))|(v2_struct_0(X93)|~v13_algstr_0(X93)|~v3_rlvect_1(X93)|~v4_rlvect_1(X93)|~v5_vectsp_1(X93)|~l6_algstr_0(X93)))&(v36_algstr_0(k12_polynom3(X93))|(v2_struct_0(X93)|~v13_algstr_0(X93)|~v3_rlvect_1(X93)|~v4_rlvect_1(X93)|~v5_vectsp_1(X93)|~l6_algstr_0(X93))))&(v2_ring_4(k12_polynom3(X93),X93)|(v2_struct_0(X93)|~v13_algstr_0(X93)|~v3_rlvect_1(X93)|~v4_rlvect_1(X93)|~v5_vectsp_1(X93)|~l6_algstr_0(X93)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])).
fof(c_0_44, plain, ((((((((~v6_struct_0(k1_int_3)&v13_algstr_0(k1_int_3))&v3_group_1(k1_int_3))&v5_group_1(k1_int_3))&v2_rlvect_1(k1_int_3))&v3_rlvect_1(k1_int_3))&v4_rlvect_1(k1_int_3))&v5_vectsp_1(k1_int_3))&v1_vectsp_2(k1_int_3)), inference(fof_simplification,[status(thm)],[fc4_int_3])).
fof(c_0_45, plain, ![X77]:(((~v2_struct_0(k12_polynom3(X77))|(v2_struct_0(X77)|~v13_algstr_0(X77)|~v3_rlvect_1(X77)|~v4_rlvect_1(X77)|~v5_vectsp_1(X77)|~l6_algstr_0(X77)))&(v36_algstr_0(k12_polynom3(X77))|(v2_struct_0(X77)|~v13_algstr_0(X77)|~v3_rlvect_1(X77)|~v4_rlvect_1(X77)|~v5_vectsp_1(X77)|~l6_algstr_0(X77))))&(l6_algstr_0(k12_polynom3(X77))|(v2_struct_0(X77)|~v13_algstr_0(X77)|~v3_rlvect_1(X77)|~v4_rlvect_1(X77)|~v5_vectsp_1(X77)|~l6_algstr_0(X77)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])).
cnf(c_0_46, plain, (m1_subset_1(X1,X3)|v2_struct_0(X2)|v1_xboole_0(X3)|~m1_ring_4(X1,X2,X3)|~l2_struct_0(X2)|~v1_ring_4(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_47, negated_conjecture, (m1_ring_4(esk2_0,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_48, plain, (~v2_struct_0(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_49, plain, (l2_struct_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_50, plain, (l2_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_41])).
fof(c_0_51, plain, ![X91, X92]:(v2_struct_0(X91)|~l2_struct_0(X91)|v2_struct_0(X92)|~v2_ring_4(X92,X91)|~l1_struct_0(X92)|v1_ring_4(u1_struct_0(X92),X91)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])).
cnf(c_0_52, plain, (v2_ring_4(k12_polynom3(X1),X1)|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_53, plain, (l6_algstr_0(k1_int_3)), inference(split_conjunct,[status(thm)],[dt_k1_int_3])).
cnf(c_0_54, plain, (v5_vectsp_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_55, plain, (v4_rlvect_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_56, plain, (v3_rlvect_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_57, plain, (v13_algstr_0(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_58, plain, (v2_struct_0(X1)|~v2_struct_0(k12_polynom3(X1))|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_59, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|~v1_ring_4(u1_struct_0(k12_polynom3(k1_int_3)),k1_int_3)|~l2_struct_0(k1_int_3)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48])).
cnf(c_0_60, plain, (l2_struct_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_49, c_0_50])).
cnf(c_0_61, plain, (v2_struct_0(X1)|v2_struct_0(X2)|v1_ring_4(u1_struct_0(X2),X1)|~l2_struct_0(X1)|~v2_ring_4(X2,X1)|~l1_struct_0(X2)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_62, plain, (v2_ring_4(k12_polynom3(k1_int_3),k1_int_3)), 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(spm,[status(thm)],[c_0_52, c_0_53]), c_0_54]), c_0_55]), c_0_56]), c_0_57])]), c_0_48])).
cnf(c_0_63, plain, (~v2_struct_0(k12_polynom3(k1_int_3))), 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(spm,[status(thm)],[c_0_58, c_0_54]), c_0_53]), c_0_55]), c_0_56]), c_0_57])]), c_0_48])).
cnf(c_0_64, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|~v1_ring_4(u1_struct_0(k12_polynom3(k1_int_3)),k1_int_3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_53])])).
cnf(c_0_65, plain, (v1_ring_4(u1_struct_0(k12_polynom3(k1_int_3)),k1_int_3)|~l2_struct_0(k1_int_3)|~l1_struct_0(k12_polynom3(k1_int_3))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_63]), c_0_48])).
fof(c_0_66, plain, ![X85]:(~l1_algstr_0(X85)|l1_struct_0(X85)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_algstr_0])])).
fof(c_0_67, plain, ![X1]:((~v8_struct_0(X1)&l1_struct_0(X1))=>~v1_finset_1(u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[fc9_struct_0])).
cnf(c_0_68, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|~l2_struct_0(k1_int_3)|~l1_struct_0(k12_polynom3(k1_int_3))), inference(spm,[status(thm)],[c_0_64, c_0_65])).
cnf(c_0_69, plain, (l1_struct_0(X1)|~l1_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_66])).
cnf(c_0_70, plain, (l1_algstr_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_40])).
fof(c_0_71, plain, ![X95]:(v8_struct_0(X95)|~l1_struct_0(X95)|~v1_finset_1(u1_struct_0(X95))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])).
fof(c_0_72, plain, ![X59]:(~v1_xboole_0(X59)|v1_finset_1(X59)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_finset_1])])).
cnf(c_0_73, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|~l1_struct_0(k12_polynom3(k1_int_3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_60]), c_0_53])])).
cnf(c_0_74, plain, (l1_struct_0(X1)|~l2_algstr_0(X1)), inference(spm,[status(thm)],[c_0_69, c_0_70])).
cnf(c_0_75, plain, (l6_algstr_0(k12_polynom3(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_76, plain, (v8_struct_0(X1)|~l1_struct_0(X1)|~v1_finset_1(u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_77, plain, (v1_finset_1(X1)|~v1_xboole_0(X1)), inference(split_conjunct,[status(thm)],[c_0_72])).
cnf(c_0_78, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k1_int_3))), inference(spm,[status(thm)],[c_0_73, c_0_74])).
cnf(c_0_79, plain, (l6_algstr_0(k12_polynom3(k1_int_3))), 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(spm,[status(thm)],[c_0_75, c_0_53]), c_0_54]), c_0_55]), c_0_56]), c_0_57])]), c_0_48])).
cnf(c_0_80, plain, (v8_struct_0(X1)|~l1_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(spm,[status(thm)],[c_0_76, c_0_77])).
cnf(c_0_81, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))|v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_50]), c_0_79])])).
fof(c_0_82, plain, ![X71, X72, X73, X74, X75]:((~r1_tarski(X71,X72)|(~r2_hidden(X73,X71)|r2_hidden(X73,X72)))&((r2_hidden(esk4_2(X74,X75),X74)|r1_tarski(X74,X75))&(~r2_hidden(esk4_2(X74,X75),X75)|r1_tarski(X74,X75)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])])).
fof(c_0_83, plain, ![X109, X110]:((~m1_subset_1(X109,k1_zfmisc_1(X110))|r1_tarski(X109,X110))&(~r1_tarski(X109,X110)|m1_subset_1(X109,k1_zfmisc_1(X110)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])).
fof(c_0_84, plain, ![X1]:((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>((~v2_struct_0(k12_polynom3(X1))&~v8_struct_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))), inference(fof_simplification,[status(thm)],[fc17_ring_4])).
cnf(c_0_85, negated_conjecture, (v8_struct_0(k12_polynom3(k1_int_3))|m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))|~l1_struct_0(k12_polynom3(k1_int_3))), inference(spm,[status(thm)],[c_0_80, c_0_81])).
cnf(c_0_86, plain, (r2_hidden(X3,X2)|~r1_tarski(X1,X2)|~r2_hidden(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_82])).
cnf(c_0_87, plain, (r1_tarski(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(X2))), inference(split_conjunct,[status(thm)],[c_0_83])).
fof(c_0_88, plain, ![X84]:(((v1_funct_1(k9_e_trans1(X84))|~m1_subset_1(X84,u1_struct_0(k12_polynom3(k1_int_3))))&(v1_funct_2(k9_e_trans1(X84),k1_numbers,k1_numbers)|~m1_subset_1(X84,u1_struct_0(k12_polynom3(k1_int_3)))))&(m1_subset_1(k9_e_trans1(X84),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))|~m1_subset_1(X84,u1_struct_0(k12_polynom3(k1_int_3))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_e_trans1])])])).
fof(c_0_89, plain, ![X90]:(((~v2_struct_0(k12_polynom3(X90))|(v2_struct_0(X90)|v6_struct_0(X90)|~v13_algstr_0(X90)|~v2_rlvect_1(X90)|~v3_rlvect_1(X90)|~v4_rlvect_1(X90)|~v4_vectsp_1(X90)|~v5_vectsp_1(X90)|~v3_group_1(X90)|~l6_algstr_0(X90)))&(~v8_struct_0(k12_polynom3(X90))|(v2_struct_0(X90)|v6_struct_0(X90)|~v13_algstr_0(X90)|~v2_rlvect_1(X90)|~v3_rlvect_1(X90)|~v4_rlvect_1(X90)|~v4_vectsp_1(X90)|~v5_vectsp_1(X90)|~v3_group_1(X90)|~l6_algstr_0(X90))))&(v36_algstr_0(k12_polynom3(X90))|(v2_struct_0(X90)|v6_struct_0(X90)|~v13_algstr_0(X90)|~v2_rlvect_1(X90)|~v3_rlvect_1(X90)|~v4_rlvect_1(X90)|~v4_vectsp_1(X90)|~v5_vectsp_1(X90)|~v3_group_1(X90)|~l6_algstr_0(X90)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_84])])])).
cnf(c_0_90, negated_conjecture, (v8_struct_0(k12_polynom3(k1_int_3))|m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_algstr_0(k12_polynom3(k1_int_3))), inference(spm,[status(thm)],[c_0_85, c_0_74])).
cnf(c_0_91, plain, (r2_hidden(X1,X2)|~r2_hidden(X1,X3)|~m1_subset_1(X3,k1_zfmisc_1(X2))), inference(spm,[status(thm)],[c_0_86, c_0_87])).
cnf(c_0_92, plain, (m1_subset_1(k9_e_trans1(X1),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_93, plain, (v2_struct_0(X1)|v6_struct_0(X1)|~v8_struct_0(k12_polynom3(X1))|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_89])).
cnf(c_0_94, negated_conjecture, (v8_struct_0(k12_polynom3(k1_int_3))|m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_50]), c_0_79])])).
cnf(c_0_95, plain, (v3_group_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_96, plain, (v4_vectsp_1(k1_int_3)), inference(split_conjunct,[status(thm)],[fc3_int_3])).
cnf(c_0_97, plain, (v2_rlvect_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_98, plain, (~v6_struct_0(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_99, plain, (r2_hidden(X1,k2_zfmisc_1(k1_numbers,k1_numbers))|~r2_hidden(X1,k9_e_trans1(X2))|~m1_subset_1(X2,u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_91, c_0_92])).
cnf(c_0_100, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_95]), c_0_96]), c_0_97]), c_0_53]), c_0_54]), c_0_55]), c_0_56]), c_0_57])]), c_0_98]), c_0_48])).
fof(c_0_101, plain, ![X64, X65, X66]:((v4_relat_1(X66,X64)|~m1_subset_1(X66,k1_zfmisc_1(k2_zfmisc_1(X64,X65))))&(v5_relat_1(X66,X65)|~m1_subset_1(X66,k1_zfmisc_1(k2_zfmisc_1(X64,X65))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_relset_1])])])).
fof(c_0_102, plain, ![X80, X81, X82, X83]:((v1_funct_1(k2_partfun1(X80,X81,X82,X83))|(~v1_funct_1(X82)|~m1_subset_1(X82,k1_zfmisc_1(k2_zfmisc_1(X80,X81)))))&(m1_subset_1(k2_partfun1(X80,X81,X82,X83),k1_zfmisc_1(k2_zfmisc_1(X80,X81)))|(~v1_funct_1(X82)|~m1_subset_1(X82,k1_zfmisc_1(k2_zfmisc_1(X80,X81)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_partfun1])])])).
cnf(c_0_103, negated_conjecture, (r2_hidden(X1,k2_zfmisc_1(k1_numbers,k1_numbers))|~r2_hidden(X1,k9_e_trans1(esk2_0))), inference(spm,[status(thm)],[c_0_99, c_0_100])).
cnf(c_0_104, plain, (r2_hidden(esk4_2(X1,X2),X1)|r1_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_82])).
fof(c_0_105, plain, ![X61, X62, X63]:(~m1_subset_1(X63,k1_zfmisc_1(k2_zfmisc_1(X61,X62)))|v1_relat_1(X63)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])).
cnf(c_0_106, plain, (v4_relat_1(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_101])).
cnf(c_0_107, plain, (m1_subset_1(k2_partfun1(X1,X2,X3,X4),k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|~v1_funct_1(X3)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_102])).
fof(c_0_108, plain, ![X99, X100, X101, X102]:(~v1_funct_1(X101)|~m1_subset_1(X101,k1_zfmisc_1(k2_zfmisc_1(X99,X100)))|k2_partfun1(X99,X100,X101,X102)=k5_relat_1(X101,X102)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_partfun1])])).
cnf(c_0_109, plain, (r1_tarski(X1,X2)|~r2_hidden(esk4_2(X1,X2),X2)), inference(split_conjunct,[status(thm)],[c_0_82])).
cnf(c_0_110, negated_conjecture, (r1_tarski(k9_e_trans1(esk2_0),X1)|r2_hidden(esk4_2(k9_e_trans1(esk2_0),X1),k2_zfmisc_1(k1_numbers,k1_numbers))), inference(spm,[status(thm)],[c_0_103, c_0_104])).
cnf(c_0_111, plain, (v1_relat_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_105])).
cnf(c_0_112, plain, (v4_relat_1(k2_partfun1(X1,X2,X3,X4),X1)|~v1_funct_1(X3)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))), inference(spm,[status(thm)],[c_0_106, c_0_107])).
cnf(c_0_113, plain, (k2_partfun1(X2,X3,X1,X4)=k5_relat_1(X1,X4)|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_108])).
cnf(c_0_114, plain, (m1_subset_1(X1,k1_zfmisc_1(X2))|~r1_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_115, negated_conjecture, (r1_tarski(k9_e_trans1(esk2_0),k2_zfmisc_1(k1_numbers,k1_numbers))), inference(spm,[status(thm)],[c_0_109, c_0_110])).
cnf(c_0_116, plain, (v1_relat_1(k2_partfun1(X1,X2,X3,X4))|~v1_funct_1(X3)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))), inference(spm,[status(thm)],[c_0_111, c_0_107])).
fof(c_0_117, plain, ![X96]:((k1_relset_1(k1_numbers,k9_e_trans1(X96))=k1_numbers|~m1_ring_4(X96,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3))))&(k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k22_sin_cos),k9_e_trans1(X96)))=k1_numbers|~m1_ring_4(X96,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l62_e_trans1])])])).
fof(c_0_118, plain, ![X68, X69]:((~v1_fcont_1(X68)|(~v1_xreal_0(X69)|(~r2_hidden(X69,k1_relset_1(k1_numbers,X68))|r1_fcont_1(X68,X69)))|(~v1_funct_1(X68)|~m1_subset_1(X68,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))))&((v1_xreal_0(esk3_1(X68))|v1_fcont_1(X68)|(~v1_funct_1(X68)|~m1_subset_1(X68,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))))&((r2_hidden(esk3_1(X68),k1_relset_1(k1_numbers,X68))|v1_fcont_1(X68)|(~v1_funct_1(X68)|~m1_subset_1(X68,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))))&(~r1_fcont_1(X68,esk3_1(X68))|v1_fcont_1(X68)|(~v1_funct_1(X68)|~m1_subset_1(X68,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_fcont_1])])])])])).
fof(c_0_119, plain, ![X97, X98]:(~v1_relat_1(X98)|~v4_relat_1(X98,X97)|k1_relset_1(X97,X98)=k9_xtuple_0(X98)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_relset_1])])).
cnf(c_0_120, plain, (v4_relat_1(k5_relat_1(X1,X2),X3)|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X4)))), inference(spm,[status(thm)],[c_0_112, c_0_113])).
cnf(c_0_121, negated_conjecture, (m1_subset_1(k9_e_trans1(esk2_0),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))), inference(spm,[status(thm)],[c_0_114, c_0_115])).
cnf(c_0_122, plain, (v1_relat_1(k5_relat_1(X1,X2))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X4)))), inference(spm,[status(thm)],[c_0_116, c_0_113])).
cnf(c_0_123, plain, (k1_relset_1(k1_numbers,k9_e_trans1(X1))=k1_numbers|~m1_ring_4(X1,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_117])).
fof(c_0_124, plain, ![X78, X79]:(~v1_xreal_0(X78)|~v1_xreal_0(X79)|m1_subset_1(k1_rcomp_1(X78,X79),k1_zfmisc_1(k1_numbers))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_rcomp_1])])).
cnf(c_0_125, plain, (r2_hidden(esk3_1(X1),k1_relset_1(k1_numbers,X1))|v1_fcont_1(X1)|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))), inference(split_conjunct,[status(thm)],[c_0_118])).
cnf(c_0_126, plain, (v1_funct_1(k2_partfun1(X1,X2,X3,X4))|~v1_funct_1(X3)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_102])).
fof(c_0_127, plain, ![X111, X112]:(~v1_relat_1(X112)|(~r1_tarski(X111,k9_xtuple_0(X112))|k9_xtuple_0(k5_relat_1(X112,X111))=X111)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t62_relat_1])])).
cnf(c_0_128, plain, (k1_relset_1(X2,X1)=k9_xtuple_0(X1)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_119])).
cnf(c_0_129, negated_conjecture, (v4_relat_1(k5_relat_1(k9_e_trans1(esk2_0),X1),k1_numbers)|~v1_funct_1(k9_e_trans1(esk2_0))), inference(spm,[status(thm)],[c_0_120, c_0_121])).
cnf(c_0_130, negated_conjecture, (v1_relat_1(k5_relat_1(k9_e_trans1(esk2_0),X1))|~v1_funct_1(k9_e_trans1(esk2_0))), inference(spm,[status(thm)],[c_0_122, c_0_121])).
cnf(c_0_131, negated_conjecture, (v4_relat_1(k9_e_trans1(esk2_0),k1_numbers)), inference(spm,[status(thm)],[c_0_106, c_0_121])).
cnf(c_0_132, negated_conjecture, (k1_relset_1(k1_numbers,k9_e_trans1(esk2_0))=k1_numbers), inference(spm,[status(thm)],[c_0_123, c_0_47])).
cnf(c_0_133, negated_conjecture, (v1_relat_1(k9_e_trans1(esk2_0))), inference(spm,[status(thm)],[c_0_111, c_0_121])).
cnf(c_0_134, plain, (m1_subset_1(k1_rcomp_1(X1,X2),k1_zfmisc_1(k1_numbers))|~v1_xreal_0(X1)|~v1_xreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_124])).
cnf(c_0_135, plain, (r2_hidden(esk3_1(k2_partfun1(k1_numbers,k1_numbers,X1,X2)),k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,X1,X2)))|v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,X1,X2))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_107]), c_0_126])).
cnf(c_0_136, plain, (k9_xtuple_0(k5_relat_1(X1,X2))=X2|~v1_relat_1(X1)|~r1_tarski(X2,k9_xtuple_0(X1))), inference(split_conjunct,[status(thm)],[c_0_127])).
cnf(c_0_137, negated_conjecture, (k9_xtuple_0(k5_relat_1(k9_e_trans1(esk2_0),X1))=k1_relset_1(k1_numbers,k5_relat_1(k9_e_trans1(esk2_0),X1))|~v1_funct_1(k9_e_trans1(esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128, c_0_129]), c_0_130])).
cnf(c_0_138, negated_conjecture, (k9_xtuple_0(k9_e_trans1(esk2_0))=k1_numbers), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128, c_0_131]), c_0_132]), c_0_133])])).
cnf(c_0_139, plain, (r2_hidden(X1,k1_numbers)|~r2_hidden(X1,k1_rcomp_1(X2,X3))|~v1_xreal_0(X3)|~v1_xreal_0(X2)), inference(spm,[status(thm)],[c_0_91, c_0_134])).
fof(c_0_140, plain, ![X67]:(~v7_ordinal1(X67)|v1_xreal_0(X67)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xreal_0])])).
cnf(c_0_141, plain, (v7_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc8_ordinal1])).
cnf(c_0_142, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
cnf(c_0_143, negated_conjecture, (r2_hidden(esk3_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),X1)),k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),X1)))|v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),X1))|~v1_funct_1(k9_e_trans1(esk2_0))), inference(spm,[status(thm)],[c_0_135, c_0_121])).
cnf(c_0_144, plain, (v1_funct_1(k9_e_trans1(X1))|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_145, negated_conjecture, (k1_relset_1(k1_numbers,k5_relat_1(k9_e_trans1(esk2_0),X1))=X1|~r1_tarski(X1,k1_numbers)|~v1_funct_1(k9_e_trans1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136, c_0_137]), c_0_138]), c_0_133])])).
cnf(c_0_146, plain, (r1_tarski(k1_rcomp_1(X1,X2),X3)|r2_hidden(esk4_2(k1_rcomp_1(X1,X2),X3),k1_numbers)|~v1_xreal_0(X2)|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_139, c_0_104])).
cnf(c_0_147, negated_conjecture, (v1_xreal_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_148, plain, (v1_xreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_140])).
cnf(c_0_149, plain, (v7_ordinal1(k5_numbers)), inference(rw,[status(thm)],[c_0_141, c_0_142])).
fof(c_0_150, plain, ![X106, X107, X108]:(~v1_xreal_0(X107)|(~v1_funct_1(X108)|~m1_subset_1(X108,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))|(~r2_hidden(X107,X106)|~r1_fcont_1(X108,X107)|r1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,X108,X106),X107)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_fcont_1])])])).
cnf(c_0_151, negated_conjecture, (r2_hidden(esk3_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),X1)),k1_relset_1(k1_numbers,k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),X1)))|v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143, c_0_144]), c_0_100])])).
cnf(c_0_152, negated_conjecture, (k1_relset_1(k1_numbers,k2_partfun1(X1,X2,k9_e_trans1(esk2_0),X3))=X3|~r1_tarski(X3,k1_numbers)|~v1_funct_1(k9_e_trans1(esk2_0))|~m1_subset_1(k9_e_trans1(esk2_0),k1_zfmisc_1(k2_zfmisc_1(X1,X2)))), inference(spm,[status(thm)],[c_0_145, c_0_113])).
cnf(c_0_153, negated_conjecture, (r1_tarski(k1_rcomp_1(X1,esk1_0),X2)|r2_hidden(esk4_2(k1_rcomp_1(X1,esk1_0),X2),k1_numbers)|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_146, c_0_147])).
cnf(c_0_154, plain, (v1_xreal_0(k5_numbers)), inference(spm,[status(thm)],[c_0_148, c_0_149])).
cnf(c_0_155, plain, (v1_fcont_1(X1)|~r1_fcont_1(X1,esk3_1(X1))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))), inference(split_conjunct,[status(thm)],[c_0_118])).
cnf(c_0_156, plain, (r1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,X2,X3),X1)|~v1_xreal_0(X1)|~v1_funct_1(X2)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))|~r2_hidden(X1,X3)|~r1_fcont_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_150])).
cnf(c_0_157, plain, (v1_xreal_0(esk3_1(X1))|v1_fcont_1(X1)|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))), inference(split_conjunct,[status(thm)],[c_0_118])).
cnf(c_0_158, plain, (r1_fcont_1(X1,X2)|~v1_fcont_1(X1)|~v1_xreal_0(X2)|~r2_hidden(X2,k1_relset_1(k1_numbers,X1))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))), inference(split_conjunct,[status(thm)],[c_0_118])).
cnf(c_0_159, negated_conjecture, (r2_hidden(esk3_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),X1)),X1)|v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),X1))|~r1_tarski(X1,k1_numbers)|~v1_funct_1(k9_e_trans1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151, c_0_152]), c_0_121])])).
cnf(c_0_160, negated_conjecture, (r1_tarski(k1_rcomp_1(k5_numbers,esk1_0),X1)|r2_hidden(esk4_2(k1_rcomp_1(k5_numbers,esk1_0),X1),k1_numbers)), inference(spm,[status(thm)],[c_0_153, c_0_154])).
cnf(c_0_161, plain, (v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,X1,X2))|~r1_fcont_1(X1,esk3_1(k2_partfun1(k1_numbers,k1_numbers,X1,X2)))|~r2_hidden(esk3_1(k2_partfun1(k1_numbers,k1_numbers,X1,X2)),X2)|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155, c_0_156]), c_0_157]), c_0_107]), c_0_126])).
cnf(c_0_162, negated_conjecture, (r1_fcont_1(k9_e_trans1(esk2_0),X1)|~r2_hidden(X1,k1_numbers)|~v1_funct_1(k9_e_trans1(esk2_0))|~v1_fcont_1(k9_e_trans1(esk2_0))|~v1_xreal_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158, c_0_132]), c_0_121])])).
cnf(c_0_163, negated_conjecture, (r2_hidden(esk3_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),X1)),X1)|v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),X1))|~r1_tarski(X1,k1_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159, c_0_144]), c_0_100])])).
cnf(c_0_164, negated_conjecture, (r1_tarski(k1_rcomp_1(k5_numbers,esk1_0),k1_numbers)), inference(spm,[status(thm)],[c_0_109, c_0_160])).
cnf(c_0_165, negated_conjecture, (~v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),k1_rcomp_1(k5_numbers,esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_166, negated_conjecture, (v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),X1))|~r2_hidden(esk3_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),X1)),k1_numbers)|~r2_hidden(esk3_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),X1)),X1)|~v1_funct_1(k9_e_trans1(esk2_0))|~v1_fcont_1(k9_e_trans1(esk2_0))|~v1_xreal_0(esk3_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161, c_0_162]), c_0_121])])).
cnf(c_0_167, plain, (k2_partfun1(X1,X2,X3,X4)=k2_partfun1(X5,X6,X3,X4)|~v1_funct_1(X3)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X5,X6)))), inference(spm,[status(thm)],[c_0_113, c_0_113])).
cnf(c_0_168, negated_conjecture, (r2_hidden(esk3_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),k1_rcomp_1(k5_numbers,esk1_0))),k1_rcomp_1(k5_numbers,esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_163, c_0_164]), c_0_165])).
cnf(c_0_169, plain, (v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,X1,X2))|v1_xreal_0(esk3_1(k2_partfun1(k1_numbers,k1_numbers,X1,X2)))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157, c_0_107]), c_0_126])).
cnf(c_0_170, negated_conjecture, (v1_fcont_1(k2_partfun1(X1,X2,k9_e_trans1(esk2_0),X3))|~r2_hidden(esk3_1(k2_partfun1(X1,X2,k9_e_trans1(esk2_0),X3)),k1_numbers)|~r2_hidden(esk3_1(k2_partfun1(X1,X2,k9_e_trans1(esk2_0),X3)),X3)|~v1_funct_1(k9_e_trans1(esk2_0))|~m1_subset_1(k9_e_trans1(esk2_0),k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|~v1_fcont_1(k9_e_trans1(esk2_0))|~v1_xreal_0(esk3_1(k2_partfun1(X1,X2,k9_e_trans1(esk2_0),X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166, c_0_167]), c_0_121])])).
cnf(c_0_171, negated_conjecture, (r2_hidden(esk3_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),k1_rcomp_1(k5_numbers,esk1_0))),k1_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139, c_0_168]), c_0_147]), c_0_154])])).
cnf(c_0_172, negated_conjecture, (v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),X1))|v1_xreal_0(esk3_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),X1)))|~v1_funct_1(k9_e_trans1(esk2_0))), inference(spm,[status(thm)],[c_0_169, c_0_121])).
fof(c_0_173, plain, ![X60]:(((v1_funct_1(X60)|(~v1_funct_1(X60)|~v1_funct_2(X60,k1_numbers,k1_numbers)|~v4_fdiff_1(X60))|~m1_subset_1(X60,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))&(v1_funct_2(X60,k1_numbers,k1_numbers)|(~v1_funct_1(X60)|~v1_funct_2(X60,k1_numbers,k1_numbers)|~v4_fdiff_1(X60))|~m1_subset_1(X60,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))))&(v1_fcont_1(X60)|(~v1_funct_1(X60)|~v1_funct_2(X60,k1_numbers,k1_numbers)|~v4_fdiff_1(X60))|~m1_subset_1(X60,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_polydiff])])])).
fof(c_0_174, plain, ![X94]:(((v1_funct_1(k9_e_trans1(X94))|~m1_subset_1(X94,u1_struct_0(k12_polynom3(k1_int_3))))&(v1_funct_2(k9_e_trans1(X94),k1_numbers,k1_numbers)|~m1_subset_1(X94,u1_struct_0(k12_polynom3(k1_int_3)))))&(v4_fdiff_1(k9_e_trans1(X94))|~m1_subset_1(X94,u1_struct_0(k12_polynom3(k1_int_3))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc5_e_trans1])])])).
cnf(c_0_175, negated_conjecture, (~v1_funct_1(k9_e_trans1(esk2_0))|~v1_fcont_1(k9_e_trans1(esk2_0))|~v1_xreal_0(esk3_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),k1_rcomp_1(k5_numbers,esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170, c_0_168]), c_0_121])]), c_0_165]), c_0_171])])).
cnf(c_0_176, negated_conjecture, (v1_fcont_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),X1))|v1_xreal_0(esk3_1(k2_partfun1(k1_numbers,k1_numbers,k9_e_trans1(esk2_0),X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172, c_0_144]), c_0_100])])).
cnf(c_0_177, plain, (v1_fcont_1(X1)|~v1_funct_1(X1)|~v1_funct_2(X1,k1_numbers,k1_numbers)|~v4_fdiff_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))), inference(split_conjunct,[status(thm)],[c_0_173])).
cnf(c_0_178, plain, (v1_funct_2(k9_e_trans1(X1),k1_numbers,k1_numbers)|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_179, plain, (v4_fdiff_1(k9_e_trans1(X1))|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_174])).
cnf(c_0_180, negated_conjecture, (~v1_funct_1(k9_e_trans1(esk2_0))|~v1_fcont_1(k9_e_trans1(esk2_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_175, c_0_176]), c_0_165])).
cnf(c_0_181, plain, (v1_fcont_1(k9_e_trans1(X1))|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177, c_0_178]), c_0_92]), c_0_144]), c_0_179])).
cnf(c_0_182, negated_conjecture, (~v1_funct_1(k9_e_trans1(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180, c_0_181]), c_0_100])])).
cnf(c_0_183, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182, c_0_144]), c_0_100])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 184
# Proof object clause steps            : 115
# Proof object formula steps           : 69
# Proof object conjectures             : 47
# Proof object clause conjectures      : 44
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 52
# Proof object initial formulas used   : 33
# Proof object generating inferences   : 62
# Proof object simplifying inferences  : 84
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 35
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 73
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 71
# Processed clauses                    : 379
# ...of these trivial                  : 1
# ...subsumed                          : 62
# ...remaining for further processing  : 316
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 31
# Backward-rewritten                   : 2
# Generated clauses                    : 416
# ...of the previous two non-trivial   : 407
# Contextual simplify-reflections      : 20
# Paramodulations                      : 416
# 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  : 218
#    Positive orientable unit clauses  : 43
#    Positive unorientable unit clauses: 1
#    Negative unit clauses             : 5
#    Non-unit-clauses                  : 169
# Current number of unprocessed clauses: 162
# ...number of literals in the above   : 752
# Current number of archived formulas  : 0
# Current number of archived clauses   : 98
# Clause-clause subsumption calls (NU) : 15770
# Rec. Clause-clause subsumption calls : 7265
# Non-unit clause-clause subsumptions  : 113
# Unit Clause-clause subsumption calls : 434
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 8
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 17396

# -------------------------------------------------
# User time                : 0.041 s
# System time              : 0.004 s
# Total time               : 0.044 s
# Maximum resident set size: 3472 pages
