# 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       : 0.025 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(fc2_struct_0, axiom, ![X1]:((~(v2_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))), file('e_trans1/e_trans1__t35_e_trans1', fc2_struct_0)).
fof(t35_e_trans1, conjecture, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v1_vectsp_2(X1))&l6_algstr_0(X1))=>![X2]:((((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v3_group_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X3,X1))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>![X4]:((((v1_funct_1(X4)&v1_funct_2(X4,k4_ordinal1,u1_struct_0(X2)))&v1_polynom1(X4,X2))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X2)))))=>![X5]:(m1_subset_1(X5,u1_struct_0(X1))=>![X6]:(m1_subset_1(X6,u1_struct_0(X2))=>((r1_funct_2(k4_ordinal1,u1_struct_0(X1),k4_ordinal1,u1_struct_0(X2),X3,X4)&X5=X6)=>r1_funct_2(k4_ordinal1,u1_struct_0(X1),k4_ordinal1,u1_struct_0(X2),k4_polynom5(X1,X3,X5),k4_polynom5(X2,X4,X6))))))))), file('e_trans1/e_trans1__t35_e_trans1', t35_e_trans1)).
fof(dt_l1_algstr_0, axiom, ![X1]:(l1_algstr_0(X1)=>l1_struct_0(X1)), file('e_trans1/e_trans1__t35_e_trans1', dt_l1_algstr_0)).
fof(redefinition_r1_funct_2, axiom, ![X1, X2, X3, X4, X5, X6]:((((((((~(v1_xboole_0(X2))&~(v1_xboole_0(X4)))&v1_funct_1(X5))&v1_funct_2(X5,X1,X2))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&v1_funct_1(X6))&v1_funct_2(X6,X3,X4))&m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X3,X4))))=>(r1_funct_2(X1,X2,X3,X4,X5,X6)<=>X5=X6)), file('e_trans1/e_trans1__t35_e_trans1', redefinition_r1_funct_2)).
fof(dt_k2_ring_4, axiom, ![X1, X2]:(((~(v2_struct_0(X1))&l2_struct_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>((v1_funct_1(k2_ring_4(X1,X2))&v1_funct_2(k2_ring_4(X1,X2),k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(k2_ring_4(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))), file('e_trans1/e_trans1__t35_e_trans1', dt_k2_ring_4)).
fof(t23_field_6, axiom, ![X1]:(((((((((~(v2_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))=>![X2]:((((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v3_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(X2))=>(X3=X4=>r1_funct_2(k4_ordinal1,u1_struct_0(X1),k4_ordinal1,u1_struct_0(X2),k2_ring_4(X1,X3),k2_ring_4(X2,X4))))))), file('e_trans1/e_trans1__t35_e_trans1', t23_field_6)).
fof(dt_l2_algstr_0, axiom, ![X1]:(l2_algstr_0(X1)=>(l2_struct_0(X1)&l1_algstr_0(X1))), file('e_trans1/e_trans1__t35_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__t35_e_trans1', dt_l6_algstr_0)).
fof(dt_k10_polynom3, axiom, ![X1, X2, X3]:((((((((~(v2_struct_0(X1))&l6_algstr_0(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)))))&v1_funct_1(X3))&v1_funct_2(X3,k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>((v1_funct_1(k10_polynom3(X1,X2,X3))&v1_funct_2(k10_polynom3(X1,X2,X3),k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(k10_polynom3(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))), file('e_trans1/e_trans1__t35_e_trans1', dt_k10_polynom3)).
fof(t2_field_8, axiom, ![X1]:(((((((((~(v2_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))=>![X2]:((((v1_funct_1(X2)&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>r2_funct_2(k4_ordinal1,u1_struct_0(X1),k4_polynom5(X1,X2,X3),k10_polynom3(X1,k2_ring_4(X1,X3),X2))))), file('e_trans1/e_trans1__t35_e_trans1', t2_field_8)).
fof(dt_k4_polynom5, axiom, ![X1, X2, X3]:((((((~(v2_struct_0(X1))&l3_algstr_0(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)))))&m1_subset_1(X3,u1_struct_0(X1)))=>((v1_funct_1(k4_polynom5(X1,X2,X3))&v1_funct_2(k4_polynom5(X1,X2,X3),k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(k4_polynom5(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))), file('e_trans1/e_trans1__t35_e_trans1', dt_k4_polynom5)).
fof(redefinition_r2_funct_2, axiom, ![X1, X2, X3, X4]:((((((v1_funct_1(X3)&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&v1_funct_1(X4))&v1_funct_2(X4,X1,X2))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))=>(r2_funct_2(X1,X2,X3,X4)<=>X3=X4)), file('e_trans1/e_trans1__t35_e_trans1', redefinition_r2_funct_2)).
fof(t17_field_4, axiom, ![X1]:(((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X3,X1))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>![X4]:((((v1_funct_1(X4)&v1_funct_2(X4,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X4,X1))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>![X5]:((((v1_funct_1(X5)&v1_funct_2(X5,k4_ordinal1,u1_struct_0(X2)))&v1_polynom1(X5,X2))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X2)))))=>![X6]:((((v1_funct_1(X6)&v1_funct_2(X6,k4_ordinal1,u1_struct_0(X2)))&v1_polynom1(X6,X2))&m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X2)))))=>((r1_funct_2(k4_ordinal1,u1_struct_0(X1),k4_ordinal1,u1_struct_0(X2),X3,X5)&r1_funct_2(k4_ordinal1,u1_struct_0(X1),k4_ordinal1,u1_struct_0(X2),X4,X6))=>r1_funct_2(k4_ordinal1,u1_struct_0(X1),k4_ordinal1,u1_struct_0(X2),k10_polynom3(X1,X3,X4),k10_polynom3(X2,X5,X6))))))))), file('e_trans1/e_trans1__t35_e_trans1', t17_field_4)).
fof(fc4_ring_4, axiom, ![X1, X2]:(((~(v2_struct_0(X1))&l2_struct_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>((v1_funct_1(k2_ring_4(X1,X2))&v1_funct_2(k2_ring_4(X1,X2),k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(k2_ring_4(X1,X2),X1))), file('e_trans1/e_trans1__t35_e_trans1', fc4_ring_4)).
fof(dt_l5_algstr_0, axiom, ![X1]:(l5_algstr_0(X1)=>(l4_algstr_0(X1)&l4_struct_0(X1))), file('e_trans1/e_trans1__t35_e_trans1', dt_l5_algstr_0)).
fof(dt_l4_algstr_0, axiom, ![X1]:(l4_algstr_0(X1)=>(l3_struct_0(X1)&l3_algstr_0(X1))), file('e_trans1/e_trans1__t35_e_trans1', dt_l4_algstr_0)).
fof(c_0_16, 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])).
fof(c_0_17, negated_conjecture, ~(![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v1_vectsp_2(X1))&l6_algstr_0(X1))=>![X2]:((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v3_group_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X3,X1))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>![X4]:((((v1_funct_1(X4)&v1_funct_2(X4,k4_ordinal1,u1_struct_0(X2)))&v1_polynom1(X4,X2))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X2)))))=>![X5]:(m1_subset_1(X5,u1_struct_0(X1))=>![X6]:(m1_subset_1(X6,u1_struct_0(X2))=>((r1_funct_2(k4_ordinal1,u1_struct_0(X1),k4_ordinal1,u1_struct_0(X2),X3,X4)&X5=X6)=>r1_funct_2(k4_ordinal1,u1_struct_0(X1),k4_ordinal1,u1_struct_0(X2),k4_polynom5(X1,X3,X5),k4_polynom5(X2,X4,X6)))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t35_e_trans1])])).
fof(c_0_18, plain, ![X71]:(v2_struct_0(X71)|~l1_struct_0(X71)|~v1_xboole_0(u1_struct_0(X71))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])).
fof(c_0_19, plain, ![X66]:(~l1_algstr_0(X66)|l1_struct_0(X66)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_algstr_0])])).
fof(c_0_20, plain, ![X1, X2, X3, X4, X5, X6]:((((((((~v1_xboole_0(X2)&~v1_xboole_0(X4))&v1_funct_1(X5))&v1_funct_2(X5,X1,X2))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&v1_funct_1(X6))&v1_funct_2(X6,X3,X4))&m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X3,X4))))=>(r1_funct_2(X1,X2,X3,X4,X5,X6)<=>X5=X6)), inference(fof_simplification,[status(thm)],[redefinition_r1_funct_2])).
fof(c_0_21, plain, ![X1, X2]:(((~v2_struct_0(X1)&l2_struct_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>((v1_funct_1(k2_ring_4(X1,X2))&v1_funct_2(k2_ring_4(X1,X2),k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(k2_ring_4(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))), inference(fof_simplification,[status(thm)],[dt_k2_ring_4])).
fof(c_0_22, negated_conjecture, ((((((((((((~v2_struct_0(esk1_0)&~v6_struct_0(esk1_0))&v13_algstr_0(esk1_0))&v3_group_1(esk1_0))&v5_group_1(esk1_0))&v2_rlvect_1(esk1_0))&v3_rlvect_1(esk1_0))&v4_rlvect_1(esk1_0))&v4_vectsp_1(esk1_0))&v5_vectsp_1(esk1_0))&v1_vectsp_2(esk1_0))&l6_algstr_0(esk1_0))&((((((((((~v2_struct_0(esk2_0)&v13_algstr_0(esk2_0))&v3_group_1(esk2_0))&v2_rlvect_1(esk2_0))&v3_rlvect_1(esk2_0))&v4_rlvect_1(esk2_0))&v4_vectsp_1(esk2_0))&v5_vectsp_1(esk2_0))&v1_field_4(esk2_0,esk1_0))&l6_algstr_0(esk2_0))&((((v1_funct_1(esk3_0)&v1_funct_2(esk3_0,k4_ordinal1,u1_struct_0(esk1_0)))&v1_polynom1(esk3_0,esk1_0))&m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0)))))&((((v1_funct_1(esk4_0)&v1_funct_2(esk4_0,k4_ordinal1,u1_struct_0(esk2_0)))&v1_polynom1(esk4_0,esk2_0))&m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0)))))&(m1_subset_1(esk5_0,u1_struct_0(esk1_0))&(m1_subset_1(esk6_0,u1_struct_0(esk2_0))&((r1_funct_2(k4_ordinal1,u1_struct_0(esk1_0),k4_ordinal1,u1_struct_0(esk2_0),esk3_0,esk4_0)&esk5_0=esk6_0)&~r1_funct_2(k4_ordinal1,u1_struct_0(esk1_0),k4_ordinal1,u1_struct_0(esk2_0),k4_polynom5(esk1_0,esk3_0,esk5_0),k4_polynom5(esk2_0,esk4_0,esk6_0))))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])).
fof(c_0_23, plain, ![X1]:(((((((((~v2_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))=>![X2]:((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v3_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(X2))=>(X3=X4=>r1_funct_2(k4_ordinal1,u1_struct_0(X1),k4_ordinal1,u1_struct_0(X2),k2_ring_4(X1,X3),k2_ring_4(X2,X4))))))), inference(fof_simplification,[status(thm)],[t23_field_6])).
cnf(c_0_24, plain, (v2_struct_0(X1)|~l1_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_25, plain, (l1_struct_0(X1)|~l1_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
fof(c_0_26, plain, ![X67]:((l2_struct_0(X67)|~l2_algstr_0(X67))&(l1_algstr_0(X67)|~l2_algstr_0(X67))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_algstr_0])])])).
fof(c_0_27, plain, ![X74, X75, X76, X77, X78, X79]:((~r1_funct_2(X74,X75,X76,X77,X78,X79)|X78=X79|(v1_xboole_0(X75)|v1_xboole_0(X77)|~v1_funct_1(X78)|~v1_funct_2(X78,X74,X75)|~m1_subset_1(X78,k1_zfmisc_1(k2_zfmisc_1(X74,X75)))|~v1_funct_1(X79)|~v1_funct_2(X79,X76,X77)|~m1_subset_1(X79,k1_zfmisc_1(k2_zfmisc_1(X76,X77)))))&(X78!=X79|r1_funct_2(X74,X75,X76,X77,X78,X79)|(v1_xboole_0(X75)|v1_xboole_0(X77)|~v1_funct_1(X78)|~v1_funct_2(X78,X74,X75)|~m1_subset_1(X78,k1_zfmisc_1(k2_zfmisc_1(X74,X75)))|~v1_funct_1(X79)|~v1_funct_2(X79,X76,X77)|~m1_subset_1(X79,k1_zfmisc_1(k2_zfmisc_1(X76,X77)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])).
fof(c_0_28, plain, ![X61, X62]:(((v1_funct_1(k2_ring_4(X61,X62))|(v2_struct_0(X61)|~l2_struct_0(X61)|~m1_subset_1(X62,u1_struct_0(X61))))&(v1_funct_2(k2_ring_4(X61,X62),k4_ordinal1,u1_struct_0(X61))|(v2_struct_0(X61)|~l2_struct_0(X61)|~m1_subset_1(X62,u1_struct_0(X61)))))&(m1_subset_1(k2_ring_4(X61,X62),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X61))))|(v2_struct_0(X61)|~l2_struct_0(X61)|~m1_subset_1(X62,u1_struct_0(X61))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])).
cnf(c_0_29, negated_conjecture, (m1_subset_1(esk6_0,u1_struct_0(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_30, negated_conjecture, (esk5_0=esk6_0), inference(split_conjunct,[status(thm)],[c_0_22])).
fof(c_0_31, plain, ![X85, X86, X87, X88]:(v2_struct_0(X85)|~v13_algstr_0(X85)|~v2_rlvect_1(X85)|~v3_rlvect_1(X85)|~v4_rlvect_1(X85)|~v4_vectsp_1(X85)|~v5_vectsp_1(X85)|~v3_group_1(X85)|~l6_algstr_0(X85)|(v2_struct_0(X86)|~v13_algstr_0(X86)|~v2_rlvect_1(X86)|~v3_rlvect_1(X86)|~v4_rlvect_1(X86)|~v4_vectsp_1(X86)|~v5_vectsp_1(X86)|~v3_group_1(X86)|~v1_field_4(X86,X85)|~l6_algstr_0(X86)|(~m1_subset_1(X87,u1_struct_0(X85))|(~m1_subset_1(X88,u1_struct_0(X86))|(X87!=X88|r1_funct_2(k4_ordinal1,u1_struct_0(X85),k4_ordinal1,u1_struct_0(X86),k2_ring_4(X85,X87),k2_ring_4(X86,X88))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])).
cnf(c_0_32, plain, (v2_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))|~l1_algstr_0(X1)), inference(spm,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_33, plain, (l1_algstr_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
fof(c_0_34, plain, ![X70]:((l2_algstr_0(X70)|~l6_algstr_0(X70))&(l5_algstr_0(X70)|~l6_algstr_0(X70))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
cnf(c_0_35, plain, (X5=X6|v1_xboole_0(X2)|v1_xboole_0(X4)|~r1_funct_2(X1,X2,X3,X4,X5,X6)|~v1_funct_1(X5)|~v1_funct_2(X5,X1,X2)|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|~v1_funct_1(X6)|~v1_funct_2(X6,X3,X4)|~m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X3,X4)))), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_36, negated_conjecture, (m1_subset_1(esk4_0,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0))))), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_37, negated_conjecture, (v1_funct_2(esk4_0,k4_ordinal1,u1_struct_0(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_38, negated_conjecture, (v1_funct_1(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_39, plain, (m1_subset_1(k2_ring_4(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|v2_struct_0(X1)|~l2_struct_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_40, negated_conjecture, (m1_subset_1(esk5_0,u1_struct_0(esk2_0))), inference(rw,[status(thm)],[c_0_29, c_0_30])).
cnf(c_0_41, negated_conjecture, (~v2_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_42, plain, (v1_funct_1(k2_ring_4(X1,X2))|v2_struct_0(X1)|~l2_struct_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_43, plain, (v1_funct_2(k2_ring_4(X1,X2),k4_ordinal1,u1_struct_0(X1))|v2_struct_0(X1)|~l2_struct_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_44, plain, (v2_struct_0(X1)|v2_struct_0(X2)|r1_funct_2(k4_ordinal1,u1_struct_0(X1),k4_ordinal1,u1_struct_0(X2),k2_ring_4(X1,X3),k2_ring_4(X2,X4))|~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)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_group_1(X2)|~v1_field_4(X2,X1)|~l6_algstr_0(X2)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X4,u1_struct_0(X2))|X3!=X4), inference(split_conjunct,[status(thm)],[c_0_31])).
fof(c_0_45, plain, ![X1, X2, X3]:((((((((~v2_struct_0(X1)&l6_algstr_0(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)))))&v1_funct_1(X3))&v1_funct_2(X3,k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>((v1_funct_1(k10_polynom3(X1,X2,X3))&v1_funct_2(k10_polynom3(X1,X2,X3),k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(k10_polynom3(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))), inference(fof_simplification,[status(thm)],[dt_k10_polynom3])).
cnf(c_0_46, plain, (v2_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))|~l2_algstr_0(X1)), inference(spm,[status(thm)],[c_0_32, c_0_33])).
cnf(c_0_47, plain, (l2_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_48, negated_conjecture, (X1=esk4_0|v1_xboole_0(u1_struct_0(esk2_0))|v1_xboole_0(X2)|~r1_funct_2(X3,X2,k4_ordinal1,u1_struct_0(esk2_0),X1,esk4_0)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X2)))|~v1_funct_2(X1,X3,X2)|~v1_funct_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_37]), c_0_38])])).
cnf(c_0_49, negated_conjecture, (r1_funct_2(k4_ordinal1,u1_struct_0(esk1_0),k4_ordinal1,u1_struct_0(esk2_0),esk3_0,esk4_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_50, negated_conjecture, (m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_51, negated_conjecture, (v1_funct_2(esk3_0,k4_ordinal1,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_52, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_53, negated_conjecture, (m1_subset_1(k2_ring_4(esk2_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0))))|~l2_struct_0(esk2_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_41])).
cnf(c_0_54, negated_conjecture, (v1_funct_1(k2_ring_4(esk2_0,esk5_0))|~l2_struct_0(esk2_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_40]), c_0_41])).
cnf(c_0_55, negated_conjecture, (v1_funct_2(k2_ring_4(esk2_0,esk5_0),k4_ordinal1,u1_struct_0(esk2_0))|~l2_struct_0(esk2_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_40]), c_0_41])).
cnf(c_0_56, plain, (l2_struct_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_57, plain, (r1_funct_2(k4_ordinal1,u1_struct_0(X1),k4_ordinal1,u1_struct_0(X2),k2_ring_4(X1,X3),k2_ring_4(X2,X3))|v2_struct_0(X2)|v2_struct_0(X1)|~m1_subset_1(X3,u1_struct_0(X2))|~m1_subset_1(X3,u1_struct_0(X1))|~v1_field_4(X2,X1)|~l6_algstr_0(X2)|~l6_algstr_0(X1)|~v5_vectsp_1(X2)|~v5_vectsp_1(X1)|~v4_vectsp_1(X2)|~v4_vectsp_1(X1)|~v4_rlvect_1(X2)|~v4_rlvect_1(X1)|~v3_rlvect_1(X2)|~v3_rlvect_1(X1)|~v2_rlvect_1(X2)|~v2_rlvect_1(X1)|~v3_group_1(X2)|~v3_group_1(X1)|~v13_algstr_0(X2)|~v13_algstr_0(X1)), inference(er,[status(thm)],[c_0_44])).
cnf(c_0_58, negated_conjecture, (l6_algstr_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_59, negated_conjecture, (v5_vectsp_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_60, negated_conjecture, (v4_vectsp_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_61, negated_conjecture, (v4_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_62, negated_conjecture, (v3_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_63, negated_conjecture, (v2_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_64, negated_conjecture, (v3_group_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_65, negated_conjecture, (v13_algstr_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
fof(c_0_66, plain, ![X58, X59, X60]:(((v1_funct_1(k10_polynom3(X58,X59,X60))|(v2_struct_0(X58)|~l6_algstr_0(X58)|~v1_funct_1(X59)|~v1_funct_2(X59,k4_ordinal1,u1_struct_0(X58))|~m1_subset_1(X59,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X58))))|~v1_funct_1(X60)|~v1_funct_2(X60,k4_ordinal1,u1_struct_0(X58))|~m1_subset_1(X60,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X58))))))&(v1_funct_2(k10_polynom3(X58,X59,X60),k4_ordinal1,u1_struct_0(X58))|(v2_struct_0(X58)|~l6_algstr_0(X58)|~v1_funct_1(X59)|~v1_funct_2(X59,k4_ordinal1,u1_struct_0(X58))|~m1_subset_1(X59,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X58))))|~v1_funct_1(X60)|~v1_funct_2(X60,k4_ordinal1,u1_struct_0(X58))|~m1_subset_1(X60,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X58)))))))&(m1_subset_1(k10_polynom3(X58,X59,X60),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X58))))|(v2_struct_0(X58)|~l6_algstr_0(X58)|~v1_funct_1(X59)|~v1_funct_2(X59,k4_ordinal1,u1_struct_0(X58))|~m1_subset_1(X59,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X58))))|~v1_funct_1(X60)|~v1_funct_2(X60,k4_ordinal1,u1_struct_0(X58))|~m1_subset_1(X60,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X58))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])).
cnf(c_0_67, plain, (v2_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_46, c_0_47])).
cnf(c_0_68, negated_conjecture, (esk4_0=esk3_0|v1_xboole_0(u1_struct_0(esk1_0))|v1_xboole_0(u1_struct_0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50]), c_0_51]), c_0_52])])).
fof(c_0_69, plain, ![X1]:(((((((((~v2_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))=>![X2]:((((v1_funct_1(X2)&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>r2_funct_2(k4_ordinal1,u1_struct_0(X1),k4_polynom5(X1,X2,X3),k10_polynom3(X1,k2_ring_4(X1,X3),X2))))), inference(fof_simplification,[status(thm)],[t2_field_8])).
cnf(c_0_70, negated_conjecture, (X1=k2_ring_4(esk2_0,esk5_0)|v1_xboole_0(u1_struct_0(esk2_0))|v1_xboole_0(X2)|~l2_struct_0(esk2_0)|~r1_funct_2(X3,X2,k4_ordinal1,u1_struct_0(esk2_0),X1,k2_ring_4(esk2_0,esk5_0))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X2)))|~v1_funct_2(X1,X3,X2)|~v1_funct_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_53]), c_0_54]), c_0_55])).
cnf(c_0_71, plain, (l2_struct_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_56, c_0_47])).
cnf(c_0_72, negated_conjecture, (r1_funct_2(k4_ordinal1,u1_struct_0(X1),k4_ordinal1,u1_struct_0(esk2_0),k2_ring_4(X1,esk5_0),k2_ring_4(esk2_0,esk5_0))|v2_struct_0(X1)|~m1_subset_1(esk5_0,u1_struct_0(X1))|~v1_field_4(esk2_0,X1)|~l6_algstr_0(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v3_group_1(X1)|~v13_algstr_0(X1)), 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_57, c_0_40]), c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65])]), c_0_41])).
cnf(c_0_73, negated_conjecture, (m1_subset_1(esk5_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_74, negated_conjecture, (v1_field_4(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_75, negated_conjecture, (l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_76, negated_conjecture, (v5_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_77, negated_conjecture, (v4_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_78, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_79, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_80, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_81, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_82, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_83, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_84, plain, (m1_subset_1(k10_polynom3(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|v2_struct_0(X1)|~l6_algstr_0(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))))|~v1_funct_1(X3)|~v1_funct_2(X3,k4_ordinal1,u1_struct_0(X1))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))), inference(split_conjunct,[status(thm)],[c_0_66])).
cnf(c_0_85, negated_conjecture, (esk4_0=esk3_0|v1_xboole_0(u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_68]), c_0_58])]), c_0_41])).
cnf(c_0_86, plain, (v1_funct_1(k10_polynom3(X1,X2,X3))|v2_struct_0(X1)|~l6_algstr_0(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))))|~v1_funct_1(X3)|~v1_funct_2(X3,k4_ordinal1,u1_struct_0(X1))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))), inference(split_conjunct,[status(thm)],[c_0_66])).
cnf(c_0_87, plain, (v1_funct_2(k10_polynom3(X1,X2,X3),k4_ordinal1,u1_struct_0(X1))|v2_struct_0(X1)|~l6_algstr_0(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))))|~v1_funct_1(X3)|~v1_funct_2(X3,k4_ordinal1,u1_struct_0(X1))|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))), inference(split_conjunct,[status(thm)],[c_0_66])).
fof(c_0_88, plain, ![X89, X90, X91]:(v2_struct_0(X89)|~v13_algstr_0(X89)|~v2_rlvect_1(X89)|~v3_rlvect_1(X89)|~v4_rlvect_1(X89)|~v4_vectsp_1(X89)|~v5_vectsp_1(X89)|~v3_group_1(X89)|~l6_algstr_0(X89)|(~v1_funct_1(X90)|~v1_funct_2(X90,k4_ordinal1,u1_struct_0(X89))|~v1_polynom1(X90,X89)|~m1_subset_1(X90,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X89))))|(~m1_subset_1(X91,u1_struct_0(X89))|r2_funct_2(k4_ordinal1,u1_struct_0(X89),k4_polynom5(X89,X90,X91),k10_polynom3(X89,k2_ring_4(X89,X91),X90))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])])).
fof(c_0_89, plain, ![X1, X2, X3]:((((((~v2_struct_0(X1)&l3_algstr_0(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)))))&m1_subset_1(X3,u1_struct_0(X1)))=>((v1_funct_1(k4_polynom5(X1,X2,X3))&v1_funct_2(k4_polynom5(X1,X2,X3),k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(k4_polynom5(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))), inference(fof_simplification,[status(thm)],[dt_k4_polynom5])).
cnf(c_0_90, negated_conjecture, (X1=k2_ring_4(esk2_0,esk5_0)|v1_xboole_0(u1_struct_0(esk2_0))|v1_xboole_0(X2)|~r1_funct_2(X3,X2,k4_ordinal1,u1_struct_0(esk2_0),X1,k2_ring_4(esk2_0,esk5_0))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X2)))|~v1_funct_2(X1,X3,X2)|~v1_funct_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_58])])).
cnf(c_0_91, negated_conjecture, (r1_funct_2(k4_ordinal1,u1_struct_0(esk1_0),k4_ordinal1,u1_struct_0(esk2_0),k2_ring_4(esk1_0,esk5_0),k2_ring_4(esk2_0,esk5_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79]), c_0_80]), c_0_81]), c_0_82])]), c_0_83])).
fof(c_0_92, plain, ![X80, X81, X82, X83]:((~r2_funct_2(X80,X81,X82,X83)|X82=X83|(~v1_funct_1(X82)|~v1_funct_2(X82,X80,X81)|~m1_subset_1(X82,k1_zfmisc_1(k2_zfmisc_1(X80,X81)))|~v1_funct_1(X83)|~v1_funct_2(X83,X80,X81)|~m1_subset_1(X83,k1_zfmisc_1(k2_zfmisc_1(X80,X81)))))&(X82!=X83|r2_funct_2(X80,X81,X82,X83)|(~v1_funct_1(X82)|~v1_funct_2(X82,X80,X81)|~m1_subset_1(X82,k1_zfmisc_1(k2_zfmisc_1(X80,X81)))|~v1_funct_1(X83)|~v1_funct_2(X83,X80,X81)|~m1_subset_1(X83,k1_zfmisc_1(k2_zfmisc_1(X80,X81)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_funct_2])])])).
cnf(c_0_93, negated_conjecture, (m1_subset_1(k10_polynom3(esk2_0,X1,esk4_0),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0))))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0))))|~v1_funct_2(X1,k4_ordinal1,u1_struct_0(esk2_0))|~v1_funct_1(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_84, c_0_36]), c_0_37]), c_0_38]), c_0_58])]), c_0_41])).
cnf(c_0_94, negated_conjecture, (esk4_0=esk3_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_85]), c_0_75])]), c_0_83])).
cnf(c_0_95, negated_conjecture, (v1_funct_1(k10_polynom3(esk2_0,X1,esk4_0))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0))))|~v1_funct_2(X1,k4_ordinal1,u1_struct_0(esk2_0))|~v1_funct_1(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_86, c_0_36]), c_0_37]), c_0_38]), c_0_58])]), c_0_41])).
cnf(c_0_96, negated_conjecture, (v1_funct_2(k10_polynom3(esk2_0,X1,esk4_0),k4_ordinal1,u1_struct_0(esk2_0))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0))))|~v1_funct_2(X1,k4_ordinal1,u1_struct_0(esk2_0))|~v1_funct_1(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_87, c_0_36]), c_0_37]), c_0_38]), c_0_58])]), c_0_41])).
cnf(c_0_97, plain, (v2_struct_0(X1)|r2_funct_2(k4_ordinal1,u1_struct_0(X1),k4_polynom5(X1,X2,X3),k10_polynom3(X1,k2_ring_4(X1,X3),X2))|~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)|~v1_funct_1(X2)|~v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1))|~v1_polynom1(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_98, negated_conjecture, (v1_polynom1(esk4_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
fof(c_0_99, plain, ![X63, X64, X65]:(((v1_funct_1(k4_polynom5(X63,X64,X65))|(v2_struct_0(X63)|~l3_algstr_0(X63)|~v1_funct_1(X64)|~v1_funct_2(X64,k4_ordinal1,u1_struct_0(X63))|~m1_subset_1(X64,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X63))))|~m1_subset_1(X65,u1_struct_0(X63))))&(v1_funct_2(k4_polynom5(X63,X64,X65),k4_ordinal1,u1_struct_0(X63))|(v2_struct_0(X63)|~l3_algstr_0(X63)|~v1_funct_1(X64)|~v1_funct_2(X64,k4_ordinal1,u1_struct_0(X63))|~m1_subset_1(X64,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X63))))|~m1_subset_1(X65,u1_struct_0(X63)))))&(m1_subset_1(k4_polynom5(X63,X64,X65),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X63))))|(v2_struct_0(X63)|~l3_algstr_0(X63)|~v1_funct_1(X64)|~v1_funct_2(X64,k4_ordinal1,u1_struct_0(X63))|~m1_subset_1(X64,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X63))))|~m1_subset_1(X65,u1_struct_0(X63))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])])).
cnf(c_0_100, negated_conjecture, (k2_ring_4(esk2_0,esk5_0)=k2_ring_4(esk1_0,esk5_0)|v1_xboole_0(u1_struct_0(esk1_0))|v1_xboole_0(u1_struct_0(esk2_0))|~m1_subset_1(k2_ring_4(esk1_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))|~v1_funct_2(k2_ring_4(esk1_0,esk5_0),k4_ordinal1,u1_struct_0(esk1_0))|~v1_funct_1(k2_ring_4(esk1_0,esk5_0))), inference(spm,[status(thm)],[c_0_90, c_0_91])).
cnf(c_0_101, negated_conjecture, (v1_funct_1(k2_ring_4(esk1_0,esk5_0))|~l2_struct_0(esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_73]), c_0_83])).
cnf(c_0_102, negated_conjecture, (v1_funct_2(k2_ring_4(esk1_0,esk5_0),k4_ordinal1,u1_struct_0(esk1_0))|~l2_struct_0(esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_73]), c_0_83])).
cnf(c_0_103, negated_conjecture, (m1_subset_1(k2_ring_4(esk1_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))|~l2_struct_0(esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_73]), c_0_83])).
fof(c_0_104, plain, ![X1]:(epred1_1(X1)<=>![X2]:((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X3,X1))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>![X4]:((((v1_funct_1(X4)&v1_funct_2(X4,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X4,X1))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>![X5]:((((v1_funct_1(X5)&v1_funct_2(X5,k4_ordinal1,u1_struct_0(X2)))&v1_polynom1(X5,X2))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X2)))))=>![X6]:((((v1_funct_1(X6)&v1_funct_2(X6,k4_ordinal1,u1_struct_0(X2)))&v1_polynom1(X6,X2))&m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X2)))))=>((r1_funct_2(k4_ordinal1,u1_struct_0(X1),k4_ordinal1,u1_struct_0(X2),X3,X5)&r1_funct_2(k4_ordinal1,u1_struct_0(X1),k4_ordinal1,u1_struct_0(X2),X4,X6))=>r1_funct_2(k4_ordinal1,u1_struct_0(X1),k4_ordinal1,u1_struct_0(X2),k10_polynom3(X1,X3,X4),k10_polynom3(X2,X5,X6))))))))), introduced(definition)).
cnf(c_0_105, plain, (X3=X4|~r2_funct_2(X1,X2,X3,X4)|~v1_funct_1(X3)|~v1_funct_2(X3,X1,X2)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|~v1_funct_1(X4)|~v1_funct_2(X4,X1,X2)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_92])).
cnf(c_0_106, negated_conjecture, (m1_subset_1(k10_polynom3(esk2_0,X1,esk3_0),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0))))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0))))|~v1_funct_2(X1,k4_ordinal1,u1_struct_0(esk2_0))|~v1_funct_1(X1)), inference(rw,[status(thm)],[c_0_93, c_0_94])).
cnf(c_0_107, negated_conjecture, (v1_funct_1(k10_polynom3(esk2_0,X1,esk3_0))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0))))|~v1_funct_2(X1,k4_ordinal1,u1_struct_0(esk2_0))|~v1_funct_1(X1)), inference(rw,[status(thm)],[c_0_95, c_0_94])).
cnf(c_0_108, negated_conjecture, (v1_funct_2(k10_polynom3(esk2_0,X1,esk3_0),k4_ordinal1,u1_struct_0(esk2_0))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0))))|~v1_funct_2(X1,k4_ordinal1,u1_struct_0(esk2_0))|~v1_funct_1(X1)), inference(rw,[status(thm)],[c_0_96, c_0_94])).
cnf(c_0_109, negated_conjecture, (r2_funct_2(k4_ordinal1,u1_struct_0(esk2_0),k4_polynom5(esk2_0,esk4_0,X1),k10_polynom3(esk2_0,k2_ring_4(esk2_0,X1),esk4_0))|~m1_subset_1(X1,u1_struct_0(esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_36]), c_0_98]), c_0_37]), c_0_38]), c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65])]), c_0_41])).
cnf(c_0_110, plain, (m1_subset_1(k4_polynom5(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|v2_struct_0(X1)|~l3_algstr_0(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))))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_99])).
cnf(c_0_111, plain, (v1_funct_1(k4_polynom5(X1,X2,X3))|v2_struct_0(X1)|~l3_algstr_0(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))))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_99])).
cnf(c_0_112, plain, (v1_funct_2(k4_polynom5(X1,X2,X3),k4_ordinal1,u1_struct_0(X1))|v2_struct_0(X1)|~l3_algstr_0(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))))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_99])).
cnf(c_0_113, negated_conjecture, (k2_ring_4(esk2_0,esk5_0)=k2_ring_4(esk1_0,esk5_0)|v1_xboole_0(u1_struct_0(esk2_0))|v1_xboole_0(u1_struct_0(esk1_0))|~l2_struct_0(esk1_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_101]), c_0_102]), c_0_103])).
fof(c_0_114, plain, ![X1]:(((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>epred1_1(X1)), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[t17_field_4]), c_0_104])).
cnf(c_0_115, negated_conjecture, (X1=k10_polynom3(esk2_0,X2,esk3_0)|~r2_funct_2(k4_ordinal1,u1_struct_0(esk2_0),X1,k10_polynom3(esk2_0,X2,esk3_0))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0))))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0))))|~v1_funct_2(X1,k4_ordinal1,u1_struct_0(esk2_0))|~v1_funct_2(X2,k4_ordinal1,u1_struct_0(esk2_0))|~v1_funct_1(X1)|~v1_funct_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_106]), c_0_107]), c_0_108])).
cnf(c_0_116, negated_conjecture, (r2_funct_2(k4_ordinal1,u1_struct_0(esk2_0),k4_polynom5(esk2_0,esk3_0,X1),k10_polynom3(esk2_0,k2_ring_4(esk2_0,X1),esk3_0))|~m1_subset_1(X1,u1_struct_0(esk2_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109, c_0_94]), c_0_94])).
cnf(c_0_117, negated_conjecture, (m1_subset_1(k4_polynom5(esk2_0,esk4_0,X1),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0))))|~l3_algstr_0(esk2_0)|~m1_subset_1(X1,u1_struct_0(esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_36]), c_0_37]), c_0_38])]), c_0_41])).
cnf(c_0_118, negated_conjecture, (v1_funct_1(k4_polynom5(esk2_0,esk4_0,X1))|~l3_algstr_0(esk2_0)|~m1_subset_1(X1,u1_struct_0(esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_36]), c_0_37]), c_0_38])]), c_0_41])).
cnf(c_0_119, negated_conjecture, (v1_funct_2(k4_polynom5(esk2_0,esk4_0,X1),k4_ordinal1,u1_struct_0(esk2_0))|~l3_algstr_0(esk2_0)|~m1_subset_1(X1,u1_struct_0(esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_36]), c_0_37]), c_0_38])]), c_0_41])).
cnf(c_0_120, negated_conjecture, (k2_ring_4(esk2_0,esk5_0)=k2_ring_4(esk1_0,esk5_0)|v1_xboole_0(u1_struct_0(esk1_0))|v1_xboole_0(u1_struct_0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_71]), c_0_75])])).
fof(c_0_121, plain, ![X1, X2]:(((~v2_struct_0(X1)&l2_struct_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>((v1_funct_1(k2_ring_4(X1,X2))&v1_funct_2(k2_ring_4(X1,X2),k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(k2_ring_4(X1,X2),X1))), inference(fof_simplification,[status(thm)],[fc4_ring_4])).
fof(c_0_122, plain, ![X1]:(epred1_1(X1)=>![X2]:((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>![X3]:((((v1_funct_1(X3)&v1_funct_2(X3,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X3,X1))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>![X4]:((((v1_funct_1(X4)&v1_funct_2(X4,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X4,X1))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>![X5]:((((v1_funct_1(X5)&v1_funct_2(X5,k4_ordinal1,u1_struct_0(X2)))&v1_polynom1(X5,X2))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X2)))))=>![X6]:((((v1_funct_1(X6)&v1_funct_2(X6,k4_ordinal1,u1_struct_0(X2)))&v1_polynom1(X6,X2))&m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X2)))))=>((r1_funct_2(k4_ordinal1,u1_struct_0(X1),k4_ordinal1,u1_struct_0(X2),X3,X5)&r1_funct_2(k4_ordinal1,u1_struct_0(X1),k4_ordinal1,u1_struct_0(X2),X4,X6))=>r1_funct_2(k4_ordinal1,u1_struct_0(X1),k4_ordinal1,u1_struct_0(X2),k10_polynom3(X1,X3,X4),k10_polynom3(X2,X5,X6))))))))), inference(split_equiv,[status(thm)],[c_0_104])).
fof(c_0_123, plain, ![X84]:(v2_struct_0(X84)|~v13_algstr_0(X84)|~v4_vectsp_1(X84)|~v5_vectsp_1(X84)|~v2_rlvect_1(X84)|~v3_rlvect_1(X84)|~v4_rlvect_1(X84)|~v3_group_1(X84)|~l6_algstr_0(X84)|epred1_1(X84)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_114])])).
cnf(c_0_124, negated_conjecture, (k10_polynom3(esk2_0,k2_ring_4(esk2_0,X1),esk3_0)=k4_polynom5(esk2_0,esk3_0,X1)|~m1_subset_1(k4_polynom5(esk2_0,esk3_0,X1),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0))))|~m1_subset_1(k2_ring_4(esk2_0,X1),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0))))|~m1_subset_1(X1,u1_struct_0(esk2_0))|~v1_funct_2(k4_polynom5(esk2_0,esk3_0,X1),k4_ordinal1,u1_struct_0(esk2_0))|~v1_funct_2(k2_ring_4(esk2_0,X1),k4_ordinal1,u1_struct_0(esk2_0))|~v1_funct_1(k4_polynom5(esk2_0,esk3_0,X1))|~v1_funct_1(k2_ring_4(esk2_0,X1))), inference(spm,[status(thm)],[c_0_115, c_0_116])).
cnf(c_0_125, negated_conjecture, (m1_subset_1(k4_polynom5(esk2_0,esk3_0,X1),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0))))|~l3_algstr_0(esk2_0)|~m1_subset_1(X1,u1_struct_0(esk2_0))), inference(rw,[status(thm)],[c_0_117, c_0_94])).
cnf(c_0_126, negated_conjecture, (v1_funct_1(k4_polynom5(esk2_0,esk3_0,X1))|~l3_algstr_0(esk2_0)|~m1_subset_1(X1,u1_struct_0(esk2_0))), inference(rw,[status(thm)],[c_0_118, c_0_94])).
cnf(c_0_127, negated_conjecture, (v1_funct_2(k4_polynom5(esk2_0,esk3_0,X1),k4_ordinal1,u1_struct_0(esk2_0))|~l3_algstr_0(esk2_0)|~m1_subset_1(X1,u1_struct_0(esk2_0))), inference(rw,[status(thm)],[c_0_119, c_0_94])).
cnf(c_0_128, negated_conjecture, (k2_ring_4(esk2_0,esk5_0)=k2_ring_4(esk1_0,esk5_0)|v1_xboole_0(u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_120]), c_0_58])]), c_0_41])).
fof(c_0_129, plain, ![X72, X73]:(((v1_funct_1(k2_ring_4(X72,X73))|(v2_struct_0(X72)|~l2_struct_0(X72)|~m1_subset_1(X73,u1_struct_0(X72))))&(v1_funct_2(k2_ring_4(X72,X73),k4_ordinal1,u1_struct_0(X72))|(v2_struct_0(X72)|~l2_struct_0(X72)|~m1_subset_1(X73,u1_struct_0(X72)))))&(v1_polynom1(k2_ring_4(X72,X73),X72)|(v2_struct_0(X72)|~l2_struct_0(X72)|~m1_subset_1(X73,u1_struct_0(X72))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_121])])])).
cnf(c_0_130, negated_conjecture, (m1_subset_1(k10_polynom3(esk1_0,X1,esk3_0),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))|~v1_funct_2(X1,k4_ordinal1,u1_struct_0(esk1_0))|~v1_funct_1(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_84, c_0_50]), c_0_51]), c_0_52]), c_0_75])]), c_0_83])).
cnf(c_0_131, negated_conjecture, (v1_funct_1(k10_polynom3(esk1_0,X1,esk3_0))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))|~v1_funct_2(X1,k4_ordinal1,u1_struct_0(esk1_0))|~v1_funct_1(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_86, c_0_50]), c_0_51]), c_0_52]), c_0_75])]), c_0_83])).
cnf(c_0_132, negated_conjecture, (v1_funct_2(k10_polynom3(esk1_0,X1,esk3_0),k4_ordinal1,u1_struct_0(esk1_0))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))|~v1_funct_2(X1,k4_ordinal1,u1_struct_0(esk1_0))|~v1_funct_1(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_87, c_0_50]), c_0_51]), c_0_52]), c_0_75])]), c_0_83])).
cnf(c_0_133, negated_conjecture, (v1_polynom1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
fof(c_0_134, plain, ![X92, X93, X94, X95, X96, X97]:(~epred1_1(X92)|(v2_struct_0(X93)|~v13_algstr_0(X93)|~v4_vectsp_1(X93)|~v5_vectsp_1(X93)|~v2_rlvect_1(X93)|~v3_rlvect_1(X93)|~v4_rlvect_1(X93)|~v3_group_1(X93)|~v1_field_4(X93,X92)|~l6_algstr_0(X93)|(~v1_funct_1(X94)|~v1_funct_2(X94,k4_ordinal1,u1_struct_0(X92))|~v1_polynom1(X94,X92)|~m1_subset_1(X94,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X92))))|(~v1_funct_1(X95)|~v1_funct_2(X95,k4_ordinal1,u1_struct_0(X92))|~v1_polynom1(X95,X92)|~m1_subset_1(X95,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X92))))|(~v1_funct_1(X96)|~v1_funct_2(X96,k4_ordinal1,u1_struct_0(X93))|~v1_polynom1(X96,X93)|~m1_subset_1(X96,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X93))))|(~v1_funct_1(X97)|~v1_funct_2(X97,k4_ordinal1,u1_struct_0(X93))|~v1_polynom1(X97,X93)|~m1_subset_1(X97,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X93))))|(~r1_funct_2(k4_ordinal1,u1_struct_0(X92),k4_ordinal1,u1_struct_0(X93),X94,X96)|~r1_funct_2(k4_ordinal1,u1_struct_0(X92),k4_ordinal1,u1_struct_0(X93),X95,X97)|r1_funct_2(k4_ordinal1,u1_struct_0(X92),k4_ordinal1,u1_struct_0(X93),k10_polynom3(X92,X94,X95),k10_polynom3(X93,X96,X97))))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_122])])])).
cnf(c_0_135, plain, (v2_struct_0(X1)|epred1_1(X1)|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_123])).
cnf(c_0_136, negated_conjecture, (k10_polynom3(esk2_0,k2_ring_4(esk2_0,X1),esk3_0)=k4_polynom5(esk2_0,esk3_0,X1)|~l3_algstr_0(esk2_0)|~m1_subset_1(k2_ring_4(esk2_0,X1),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0))))|~m1_subset_1(X1,u1_struct_0(esk2_0))|~v1_funct_2(k2_ring_4(esk2_0,X1),k4_ordinal1,u1_struct_0(esk2_0))|~v1_funct_1(k2_ring_4(esk2_0,X1))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124, c_0_125]), c_0_126]), c_0_127])).
cnf(c_0_137, negated_conjecture, (k2_ring_4(esk2_0,esk5_0)=k2_ring_4(esk1_0,esk5_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_128]), c_0_75])]), c_0_83])).
cnf(c_0_138, plain, (v1_polynom1(k2_ring_4(X1,X2),X1)|v2_struct_0(X1)|~l2_struct_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_129])).
cnf(c_0_139, negated_conjecture, (X1=k10_polynom3(esk1_0,X2,esk3_0)|~r2_funct_2(k4_ordinal1,u1_struct_0(esk1_0),X1,k10_polynom3(esk1_0,X2,esk3_0))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))|~v1_funct_2(X1,k4_ordinal1,u1_struct_0(esk1_0))|~v1_funct_2(X2,k4_ordinal1,u1_struct_0(esk1_0))|~v1_funct_1(X1)|~v1_funct_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_130]), c_0_131]), c_0_132])).
cnf(c_0_140, negated_conjecture, (r2_funct_2(k4_ordinal1,u1_struct_0(esk1_0),k4_polynom5(esk1_0,esk3_0,X1),k10_polynom3(esk1_0,k2_ring_4(esk1_0,X1),esk3_0))|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_50]), c_0_133]), c_0_51]), c_0_52]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79]), c_0_80]), c_0_81]), c_0_82])]), c_0_83])).
cnf(c_0_141, plain, (v2_struct_0(X2)|r1_funct_2(k4_ordinal1,u1_struct_0(X1),k4_ordinal1,u1_struct_0(X2),k10_polynom3(X1,X3,X4),k10_polynom3(X2,X5,X6))|~epred1_1(X1)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~v1_field_4(X2,X1)|~l6_algstr_0(X2)|~v1_funct_1(X3)|~v1_funct_2(X3,k4_ordinal1,u1_struct_0(X1))|~v1_polynom1(X3,X1)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|~v1_funct_1(X4)|~v1_funct_2(X4,k4_ordinal1,u1_struct_0(X1))|~v1_polynom1(X4,X1)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|~v1_funct_1(X5)|~v1_funct_2(X5,k4_ordinal1,u1_struct_0(X2))|~v1_polynom1(X5,X2)|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X2))))|~v1_funct_1(X6)|~v1_funct_2(X6,k4_ordinal1,u1_struct_0(X2))|~v1_polynom1(X6,X2)|~m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X2))))|~r1_funct_2(k4_ordinal1,u1_struct_0(X1),k4_ordinal1,u1_struct_0(X2),X3,X5)|~r1_funct_2(k4_ordinal1,u1_struct_0(X1),k4_ordinal1,u1_struct_0(X2),X4,X6)), inference(split_conjunct,[status(thm)],[c_0_134])).
cnf(c_0_142, negated_conjecture, (r1_funct_2(k4_ordinal1,u1_struct_0(esk1_0),k4_ordinal1,u1_struct_0(esk2_0),esk3_0,esk3_0)), inference(rw,[status(thm)],[c_0_49, c_0_94])).
cnf(c_0_143, negated_conjecture, (epred1_1(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135, c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79]), c_0_80]), c_0_81]), c_0_82])]), c_0_83])).
cnf(c_0_144, negated_conjecture, (m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0))))), inference(rw,[status(thm)],[c_0_36, c_0_94])).
cnf(c_0_145, negated_conjecture, (v1_polynom1(esk3_0,esk2_0)), inference(rw,[status(thm)],[c_0_98, c_0_94])).
cnf(c_0_146, negated_conjecture, (v1_funct_2(esk3_0,k4_ordinal1,u1_struct_0(esk2_0))), inference(rw,[status(thm)],[c_0_37, c_0_94])).
cnf(c_0_147, negated_conjecture, (k10_polynom3(esk2_0,k2_ring_4(esk1_0,esk5_0),esk3_0)=k4_polynom5(esk2_0,esk3_0,esk5_0)|~l3_algstr_0(esk2_0)|~m1_subset_1(k2_ring_4(esk1_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0))))|~v1_funct_2(k2_ring_4(esk1_0,esk5_0),k4_ordinal1,u1_struct_0(esk2_0))|~v1_funct_1(k2_ring_4(esk1_0,esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136, c_0_137]), c_0_40])])).
cnf(c_0_148, negated_conjecture, (m1_subset_1(k2_ring_4(esk1_0,esk5_0),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0))))|~l2_struct_0(esk2_0)), inference(rw,[status(thm)],[c_0_53, c_0_137])).
cnf(c_0_149, negated_conjecture, (v1_funct_1(k2_ring_4(esk1_0,esk5_0))|~l2_struct_0(esk2_0)), inference(rw,[status(thm)],[c_0_54, c_0_137])).
cnf(c_0_150, negated_conjecture, (v1_funct_2(k2_ring_4(esk1_0,esk5_0),k4_ordinal1,u1_struct_0(esk2_0))|~l2_struct_0(esk2_0)), inference(rw,[status(thm)],[c_0_55, c_0_137])).
cnf(c_0_151, negated_conjecture, (v1_polynom1(k2_ring_4(esk2_0,esk5_0),esk2_0)|~l2_struct_0(esk2_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_138, c_0_40]), c_0_41])).
cnf(c_0_152, negated_conjecture, (k10_polynom3(esk1_0,k2_ring_4(esk1_0,X1),esk3_0)=k4_polynom5(esk1_0,esk3_0,X1)|~m1_subset_1(k4_polynom5(esk1_0,esk3_0,X1),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))|~m1_subset_1(k2_ring_4(esk1_0,X1),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))|~m1_subset_1(X1,u1_struct_0(esk1_0))|~v1_funct_2(k4_polynom5(esk1_0,esk3_0,X1),k4_ordinal1,u1_struct_0(esk1_0))|~v1_funct_2(k2_ring_4(esk1_0,X1),k4_ordinal1,u1_struct_0(esk1_0))|~v1_funct_1(k4_polynom5(esk1_0,esk3_0,X1))|~v1_funct_1(k2_ring_4(esk1_0,X1))), inference(spm,[status(thm)],[c_0_139, c_0_140])).
cnf(c_0_153, negated_conjecture, (m1_subset_1(k4_polynom5(esk1_0,esk3_0,X1),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))|~l3_algstr_0(esk1_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_50]), c_0_51]), c_0_52])]), c_0_83])).
cnf(c_0_154, negated_conjecture, (v1_funct_1(k4_polynom5(esk1_0,esk3_0,X1))|~l3_algstr_0(esk1_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_50]), c_0_51]), c_0_52])]), c_0_83])).
cnf(c_0_155, negated_conjecture, (v1_funct_2(k4_polynom5(esk1_0,esk3_0,X1),k4_ordinal1,u1_struct_0(esk1_0))|~l3_algstr_0(esk1_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_50]), c_0_51]), c_0_52])]), c_0_83])).
cnf(c_0_156, negated_conjecture, (~r1_funct_2(k4_ordinal1,u1_struct_0(esk1_0),k4_ordinal1,u1_struct_0(esk2_0),k4_polynom5(esk1_0,esk3_0,esk5_0),k4_polynom5(esk2_0,esk4_0,esk6_0))), inference(split_conjunct,[status(thm)],[c_0_22])).
fof(c_0_157, plain, ![X69]:((l4_algstr_0(X69)|~l5_algstr_0(X69))&(l4_struct_0(X69)|~l5_algstr_0(X69))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l5_algstr_0])])])).
cnf(c_0_158, plain, (r1_funct_2(k4_ordinal1,u1_struct_0(esk1_0),k4_ordinal1,u1_struct_0(esk2_0),k10_polynom3(esk1_0,X1,esk3_0),k10_polynom3(esk2_0,X2,esk3_0))|~r1_funct_2(k4_ordinal1,u1_struct_0(esk1_0),k4_ordinal1,u1_struct_0(esk2_0),X1,X2)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk2_0))))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))|~v1_polynom1(X2,esk2_0)|~v1_polynom1(X1,esk1_0)|~v1_funct_2(X2,k4_ordinal1,u1_struct_0(esk2_0))|~v1_funct_2(X1,k4_ordinal1,u1_struct_0(esk1_0))|~v1_funct_1(X2)|~v1_funct_1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_141, c_0_142]), c_0_143]), c_0_144]), c_0_50]), c_0_145]), c_0_133]), c_0_146]), c_0_51]), c_0_52]), c_0_74]), c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65])]), c_0_41])).
cnf(c_0_159, negated_conjecture, (k10_polynom3(esk2_0,k2_ring_4(esk1_0,esk5_0),esk3_0)=k4_polynom5(esk2_0,esk3_0,esk5_0)|~l3_algstr_0(esk2_0)|~l2_struct_0(esk2_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147, c_0_148]), c_0_149]), c_0_150])).
cnf(c_0_160, negated_conjecture, (v1_polynom1(k2_ring_4(esk1_0,esk5_0),esk2_0)|~l2_struct_0(esk2_0)), inference(rw,[status(thm)],[c_0_151, c_0_137])).
cnf(c_0_161, negated_conjecture, (k10_polynom3(esk1_0,k2_ring_4(esk1_0,X1),esk3_0)=k4_polynom5(esk1_0,esk3_0,X1)|~l3_algstr_0(esk1_0)|~m1_subset_1(k2_ring_4(esk1_0,X1),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))|~m1_subset_1(X1,u1_struct_0(esk1_0))|~v1_funct_2(k2_ring_4(esk1_0,X1),k4_ordinal1,u1_struct_0(esk1_0))|~v1_funct_1(k2_ring_4(esk1_0,X1))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152, c_0_153]), c_0_154]), c_0_155])).
cnf(c_0_162, negated_conjecture, (~r1_funct_2(k4_ordinal1,u1_struct_0(esk1_0),k4_ordinal1,u1_struct_0(esk2_0),k4_polynom5(esk1_0,esk3_0,esk5_0),k4_polynom5(esk2_0,esk4_0,esk5_0))), inference(rw,[status(thm)],[c_0_156, c_0_30])).
fof(c_0_163, plain, ![X68]:((l3_struct_0(X68)|~l4_algstr_0(X68))&(l3_algstr_0(X68)|~l4_algstr_0(X68))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l4_algstr_0])])])).
cnf(c_0_164, plain, (l4_algstr_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_157])).
cnf(c_0_165, plain, (l5_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_166, negated_conjecture, (r1_funct_2(k4_ordinal1,u1_struct_0(esk1_0),k4_ordinal1,u1_struct_0(esk2_0),k10_polynom3(esk1_0,X1,esk3_0),k4_polynom5(esk2_0,esk3_0,esk5_0))|~l3_algstr_0(esk2_0)|~l2_struct_0(esk2_0)|~r1_funct_2(k4_ordinal1,u1_struct_0(esk1_0),k4_ordinal1,u1_struct_0(esk2_0),X1,k2_ring_4(esk1_0,esk5_0))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))|~v1_polynom1(X1,esk1_0)|~v1_funct_2(X1,k4_ordinal1,u1_struct_0(esk1_0))|~v1_funct_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158, c_0_159]), c_0_149]), c_0_150]), c_0_160]), c_0_148])).
cnf(c_0_167, negated_conjecture, (k10_polynom3(esk1_0,k2_ring_4(esk1_0,esk5_0),esk3_0)=k4_polynom5(esk1_0,esk3_0,esk5_0)|~l3_algstr_0(esk1_0)|~l2_struct_0(esk1_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161, c_0_103]), c_0_73])]), c_0_101]), c_0_102])).
cnf(c_0_168, negated_conjecture, (r1_funct_2(k4_ordinal1,u1_struct_0(esk1_0),k4_ordinal1,u1_struct_0(esk2_0),k2_ring_4(esk1_0,esk5_0),k2_ring_4(esk1_0,esk5_0))), inference(rw,[status(thm)],[c_0_91, c_0_137])).
cnf(c_0_169, negated_conjecture, (~r1_funct_2(k4_ordinal1,u1_struct_0(esk1_0),k4_ordinal1,u1_struct_0(esk2_0),k4_polynom5(esk1_0,esk3_0,esk5_0),k4_polynom5(esk2_0,esk3_0,esk5_0))), inference(rw,[status(thm)],[c_0_162, c_0_94])).
cnf(c_0_170, negated_conjecture, (v1_polynom1(k2_ring_4(esk1_0,esk5_0),esk1_0)|~l2_struct_0(esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_138, c_0_73]), c_0_83])).
cnf(c_0_171, plain, (l3_algstr_0(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_163])).
cnf(c_0_172, plain, (l4_algstr_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_164, c_0_165])).
cnf(c_0_173, negated_conjecture, (~l3_algstr_0(esk2_0)|~l3_algstr_0(esk1_0)|~l2_struct_0(esk2_0)|~l2_struct_0(esk1_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166, c_0_167]), c_0_168])]), c_0_169]), c_0_101]), c_0_102]), c_0_170]), c_0_103])).
cnf(c_0_174, plain, (l3_algstr_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_171, c_0_172])).
cnf(c_0_175, negated_conjecture, (~l3_algstr_0(esk1_0)|~l2_struct_0(esk2_0)|~l2_struct_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173, c_0_174]), c_0_58])])).
cnf(c_0_176, negated_conjecture, (~l2_struct_0(esk2_0)|~l2_struct_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175, c_0_174]), c_0_75])])).
cnf(c_0_177, negated_conjecture, (~l2_struct_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176, c_0_71]), c_0_58])])).
cnf(c_0_178, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177, c_0_71]), c_0_75])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 179
# Proof object clause steps            : 134
# Proof object formula steps           : 45
# Proof object conjectures             : 105
# Proof object clause conjectures      : 102
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 56
# Proof object initial formulas used   : 16
# Proof object generating inferences   : 58
# Proof object simplifying inferences  : 220
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 16
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 65
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 65
# Processed clauses                    : 692
# ...of these trivial                  : 0
# ...subsumed                          : 134
# ...remaining for further processing  : 558
# Other redundant clauses eliminated   : 3
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 99
# Backward-rewritten                   : 48
# Generated clauses                    : 968
# ...of the previous two non-trivial   : 1001
# Contextual simplify-reflections      : 409
# Paramodulations                      : 941
# Factorizations                       : 24
# NegExts                              : 0
# Equation resolutions                 : 3
# 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  : 345
#    Positive orientable unit clauses  : 36
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 5
#    Non-unit-clauses                  : 304
# Current number of unprocessed clauses: 382
# ...number of literals in the above   : 4506
# Current number of archived formulas  : 0
# Current number of archived clauses   : 210
# Clause-clause subsumption calls (NU) : 85619
# Rec. Clause-clause subsumption calls : 5371
# Non-unit clause-clause subsumptions  : 642
# Unit Clause-clause subsumption calls : 596
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 22
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 76779

# -------------------------------------------------
# User time                : 0.146 s
# System time              : 0.000 s
# Total time               : 0.146 s
# Maximum resident set size: 3444 pages
