# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(fc9_polynom3, axiom, ![X1]:(((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(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_rlvect_1(k12_polynom3(X1)))), file('e_trans1/e_trans1__l46_e_trans1', fc9_polynom3)).
fof(l46_e_trans1, conjecture, ![X1]:((((((((((~(v2_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))&l6_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k12_polynom3(X1)))=>![X3]:(m1_subset_1(X3,u1_struct_0(k12_polynom3(X1)))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>k2_polynom4(X1,k2_basel_2(X1,k3_rlvect_1(k12_polynom3(X1),X2,X3)),X4)=k3_rlvect_1(X1,k2_polynom4(X1,k2_basel_2(X1,X2),X4),k2_polynom4(X1,k2_basel_2(X1,X3),X4)))))), file('e_trans1/e_trans1__l46_e_trans1', l46_e_trans1)).
fof(d2_basel_2, 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))=>![X2]:(m1_subset_1(X2,u1_struct_0(k12_polynom3(X1)))=>k2_basel_2(X1,X2)=X2)), file('e_trans1/e_trans1__l46_e_trans1', d2_basel_2)).
fof(redefinition_k3_rlvect_1, axiom, ![X1, X2, X3]:((((v2_rlvect_1(X1)&l1_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k3_rlvect_1(X1,X2,X3)=k1_algstr_0(X1,X2,X3)), file('e_trans1/e_trans1__l46_e_trans1', redefinition_k3_rlvect_1)).
fof(cc5_vectsp_1, axiom, ![X1]:(l4_algstr_0(X1)=>((~(v2_struct_0(X1))&v4_vectsp_1(X1))=>(~(v2_struct_0(X1))&v1_group_1(X1)))), file('e_trans1/e_trans1__l46_e_trans1', cc5_vectsp_1)).
fof(dt_k2_basel_2, axiom, ![X1, X2]:(((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(k12_polynom3(X1))))=>(((v1_funct_1(k2_basel_2(X1,X2))&v1_funct_2(k2_basel_2(X1,X2),k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(k2_basel_2(X1,X2),X1))&m1_subset_1(k2_basel_2(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))), file('e_trans1/e_trans1__l46_e_trans1', dt_k2_basel_2)).
fof(dt_l2_algstr_0, axiom, ![X1]:(l2_algstr_0(X1)=>(l2_struct_0(X1)&l1_algstr_0(X1))), file('e_trans1/e_trans1__l46_e_trans1', dt_l2_algstr_0)).
fof(dt_l5_algstr_0, axiom, ![X1]:(l5_algstr_0(X1)=>(l4_algstr_0(X1)&l4_struct_0(X1))), file('e_trans1/e_trans1__l46_e_trans1', dt_l5_algstr_0)).
fof(d10_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))=>![X2]:(((~(v2_struct_0(X2))&v36_algstr_0(X2))&l6_algstr_0(X2))=>(X2=k12_polynom3(X1)<=>((((![X3]:(r2_tarski(X3,u1_struct_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))))))&![X3]:(m1_subset_1(X3,u1_struct_0(X2))=>![X4]:(m1_subset_1(X4,u1_struct_0(X2))=>![X5]:(((v1_funct_1(X5)&v1_funct_2(X5,k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>![X6]:(((v1_funct_1(X6)&v1_funct_2(X6,k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>((X3=X5&X4=X6)=>k1_algstr_0(X2,X3,X4)=k1_normsp_1(X1,X5,X6)))))))&![X3]:(m1_subset_1(X3,u1_struct_0(X2))=>![X4]:(m1_subset_1(X4,u1_struct_0(X2))=>![X5]:(((v1_funct_1(X5)&v1_funct_2(X5,k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>![X6]:(((v1_funct_1(X6)&v1_funct_2(X6,k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>((X3=X5&X4=X6)=>k6_algstr_0(X2,X3,X4)=k10_polynom3(X1,X5,X6)))))))&k4_struct_0(X2)=k8_polynom3(X1))&k5_struct_0(X2)=k9_polynom3(X1))))), file('e_trans1/e_trans1__l46_e_trans1', d10_polynom3)).
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__l46_e_trans1', dt_k12_polynom3)).
fof(dt_k3_rlvect_1, axiom, ![X1, X2, X3]:((((v2_rlvect_1(X1)&l1_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>m1_subset_1(k3_rlvect_1(X1,X2,X3),u1_struct_0(X1))), file('e_trans1/e_trans1__l46_e_trans1', dt_k3_rlvect_1)).
fof(dt_l6_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(l2_algstr_0(X1)&l5_algstr_0(X1))), file('e_trans1/e_trans1__l46_e_trans1', dt_l6_algstr_0)).
fof(cc1_vectsp_1, axiom, ![X1]:(l6_algstr_0(X1)=>((~(v2_struct_0(X1))&v5_vectsp_1(X1))=>((~(v2_struct_0(X1))&v1_vectsp_1(X1))&v2_vectsp_1(X1)))), file('e_trans1/e_trans1__l46_e_trans1', cc1_vectsp_1)).
fof(t19_polynom4, axiom, ![X1]:((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v2_vectsp_1(X1))&v1_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]:((((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]:(m1_subset_1(X4,u1_struct_0(X1))=>k2_polynom4(X1,k7_polynom3(X1,X2,X3),X4)=k3_rlvect_1(X1,k2_polynom4(X1,X2,X4),k2_polynom4(X1,X3,X4)))))), file('e_trans1/e_trans1__l46_e_trans1', t19_polynom4)).
fof(redefinition_k7_polynom3, axiom, ![X1, X2, X3]:(((((((((~(v2_struct_0(X1))&v2_rlvect_1(X1))&l2_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)))))=>k7_polynom3(X1,X2,X3)=k1_normsp_1(X1,X2,X3)), file('e_trans1/e_trans1__l46_e_trans1', redefinition_k7_polynom3)).
fof(c_0_15, plain, ![X1]:(((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(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_rlvect_1(k12_polynom3(X1)))), inference(fof_simplification,[status(thm)],[fc9_polynom3])).
fof(c_0_16, negated_conjecture, ~(![X1]:((((((((((~v2_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))&l6_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k12_polynom3(X1)))=>![X3]:(m1_subset_1(X3,u1_struct_0(k12_polynom3(X1)))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>k2_polynom4(X1,k2_basel_2(X1,k3_rlvect_1(k12_polynom3(X1),X2,X3)),X4)=k3_rlvect_1(X1,k2_polynom4(X1,k2_basel_2(X1,X2),X4),k2_polynom4(X1,k2_basel_2(X1,X3),X4))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l46_e_trans1])])).
fof(c_0_17, plain, ![X75]:(((~v2_struct_0(k12_polynom3(X75))|(v2_struct_0(X75)|~v13_algstr_0(X75)|~v2_rlvect_1(X75)|~v3_rlvect_1(X75)|~v4_rlvect_1(X75)|~v5_vectsp_1(X75)|~l6_algstr_0(X75)))&(v36_algstr_0(k12_polynom3(X75))|(v2_struct_0(X75)|~v13_algstr_0(X75)|~v2_rlvect_1(X75)|~v3_rlvect_1(X75)|~v4_rlvect_1(X75)|~v5_vectsp_1(X75)|~l6_algstr_0(X75))))&(v2_rlvect_1(k12_polynom3(X75))|(v2_struct_0(X75)|~v13_algstr_0(X75)|~v2_rlvect_1(X75)|~v3_rlvect_1(X75)|~v4_rlvect_1(X75)|~v5_vectsp_1(X75)|~l6_algstr_0(X75)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])).
fof(c_0_18, negated_conjecture, ((((((((((~v2_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))&l6_algstr_0(esk1_0))&(m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(esk1_0)))&(m1_subset_1(esk3_0,u1_struct_0(k12_polynom3(esk1_0)))&(m1_subset_1(esk4_0,u1_struct_0(esk1_0))&k2_polynom4(esk1_0,k2_basel_2(esk1_0,k3_rlvect_1(k12_polynom3(esk1_0),esk2_0,esk3_0)),esk4_0)!=k3_rlvect_1(esk1_0,k2_polynom4(esk1_0,k2_basel_2(esk1_0,esk2_0),esk4_0),k2_polynom4(esk1_0,k2_basel_2(esk1_0,esk3_0),esk4_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])).
fof(c_0_19, 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))=>![X2]:(m1_subset_1(X2,u1_struct_0(k12_polynom3(X1)))=>k2_basel_2(X1,X2)=X2)), inference(fof_simplification,[status(thm)],[d2_basel_2])).
fof(c_0_20, plain, ![X76, X77, X78]:(~v2_rlvect_1(X76)|~l1_algstr_0(X76)|~m1_subset_1(X77,u1_struct_0(X76))|~m1_subset_1(X78,u1_struct_0(X76))|k3_rlvect_1(X76,X77,X78)=k1_algstr_0(X76,X77,X78)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k3_rlvect_1])])).
cnf(c_0_21, plain, (v2_rlvect_1(k12_polynom3(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_22, negated_conjecture, (l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_23, negated_conjecture, (v5_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_24, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_25, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_26, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_27, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_28, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
fof(c_0_29, plain, ![X1]:(l4_algstr_0(X1)=>((~v2_struct_0(X1)&v4_vectsp_1(X1))=>(~v2_struct_0(X1)&v1_group_1(X1)))), inference(fof_simplification,[status(thm)],[cc5_vectsp_1])).
fof(c_0_30, plain, ![X1, X2]:(((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(k12_polynom3(X1))))=>(((v1_funct_1(k2_basel_2(X1,X2))&v1_funct_2(k2_basel_2(X1,X2),k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(k2_basel_2(X1,X2),X1))&m1_subset_1(k2_basel_2(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))), inference(fof_simplification,[status(thm)],[dt_k2_basel_2])).
fof(c_0_31, plain, ![X63, X64]:(v2_struct_0(X63)|~v13_algstr_0(X63)|~v3_rlvect_1(X63)|~v4_rlvect_1(X63)|~v5_vectsp_1(X63)|~l6_algstr_0(X63)|(~m1_subset_1(X64,u1_struct_0(k12_polynom3(X63)))|k2_basel_2(X63,X64)=X64)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])).
fof(c_0_32, plain, ![X2, X1]:(epred1_2(X1,X2)<=>(![X3]:(r2_tarski(X3,u1_struct_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))))))&![X3]:(m1_subset_1(X3,u1_struct_0(X2))=>![X4]:(m1_subset_1(X4,u1_struct_0(X2))=>![X5]:(((v1_funct_1(X5)&v1_funct_2(X5,k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>![X6]:(((v1_funct_1(X6)&v1_funct_2(X6,k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>((X3=X5&X4=X6)=>k1_algstr_0(X2,X3,X4)=k1_normsp_1(X1,X5,X6)))))))), introduced(definition)).
cnf(c_0_33, plain, (k3_rlvect_1(X1,X2,X3)=k1_algstr_0(X1,X2,X3)|~v2_rlvect_1(X1)|~l1_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_34, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(k12_polynom3(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_35, negated_conjecture, (v2_rlvect_1(k12_polynom3(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(spm,[status(thm)],[c_0_21, c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27])]), c_0_28])).
fof(c_0_36, plain, ![X71]:((l2_struct_0(X71)|~l2_algstr_0(X71))&(l1_algstr_0(X71)|~l2_algstr_0(X71))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_algstr_0])])])).
fof(c_0_37, plain, ![X52]:((~v2_struct_0(X52)|(v2_struct_0(X52)|~v4_vectsp_1(X52))|~l4_algstr_0(X52))&(v1_group_1(X52)|(v2_struct_0(X52)|~v4_vectsp_1(X52))|~l4_algstr_0(X52))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])).
fof(c_0_38, plain, ![X72]:((l4_algstr_0(X72)|~l5_algstr_0(X72))&(l4_struct_0(X72)|~l5_algstr_0(X72))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l5_algstr_0])])])).
fof(c_0_39, plain, ![X66, X67]:((((v1_funct_1(k2_basel_2(X66,X67))|(v2_struct_0(X66)|~v13_algstr_0(X66)|~v3_rlvect_1(X66)|~v4_rlvect_1(X66)|~v5_vectsp_1(X66)|~l6_algstr_0(X66)|~m1_subset_1(X67,u1_struct_0(k12_polynom3(X66)))))&(v1_funct_2(k2_basel_2(X66,X67),k4_ordinal1,u1_struct_0(X66))|(v2_struct_0(X66)|~v13_algstr_0(X66)|~v3_rlvect_1(X66)|~v4_rlvect_1(X66)|~v5_vectsp_1(X66)|~l6_algstr_0(X66)|~m1_subset_1(X67,u1_struct_0(k12_polynom3(X66))))))&(v1_polynom1(k2_basel_2(X66,X67),X66)|(v2_struct_0(X66)|~v13_algstr_0(X66)|~v3_rlvect_1(X66)|~v4_rlvect_1(X66)|~v5_vectsp_1(X66)|~l6_algstr_0(X66)|~m1_subset_1(X67,u1_struct_0(k12_polynom3(X66))))))&(m1_subset_1(k2_basel_2(X66,X67),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X66))))|(v2_struct_0(X66)|~v13_algstr_0(X66)|~v3_rlvect_1(X66)|~v4_rlvect_1(X66)|~v5_vectsp_1(X66)|~l6_algstr_0(X66)|~m1_subset_1(X67,u1_struct_0(k12_polynom3(X66)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])).
cnf(c_0_40, plain, (v2_struct_0(X1)|k2_basel_2(X1,X2)=X2|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(k12_polynom3(X1)))), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_41, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_18])).
fof(c_0_42, 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))=>![X2]:(((~v2_struct_0(X2)&v36_algstr_0(X2))&l6_algstr_0(X2))=>(X2=k12_polynom3(X1)<=>(((epred1_2(X1,X2)&![X3]:(m1_subset_1(X3,u1_struct_0(X2))=>![X4]:(m1_subset_1(X4,u1_struct_0(X2))=>![X5]:(((v1_funct_1(X5)&v1_funct_2(X5,k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>![X6]:(((v1_funct_1(X6)&v1_funct_2(X6,k4_ordinal1,u1_struct_0(X1)))&m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1)))))=>((X3=X5&X4=X6)=>k6_algstr_0(X2,X3,X4)=k10_polynom3(X1,X5,X6)))))))&k4_struct_0(X2)=k8_polynom3(X1))&k5_struct_0(X2)=k9_polynom3(X1))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[d10_polynom3]), c_0_32])).
fof(c_0_43, 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_44, plain, ![X68, X69, X70]:(~v2_rlvect_1(X68)|~l1_algstr_0(X68)|~m1_subset_1(X69,u1_struct_0(X68))|~m1_subset_1(X70,u1_struct_0(X68))|m1_subset_1(k3_rlvect_1(X68,X69,X70),u1_struct_0(X68))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_rlvect_1])])).
cnf(c_0_45, negated_conjecture, (k3_rlvect_1(k12_polynom3(esk1_0),X1,esk3_0)=k1_algstr_0(k12_polynom3(esk1_0),X1,esk3_0)|~l1_algstr_0(k12_polynom3(esk1_0))|~m1_subset_1(X1,u1_struct_0(k12_polynom3(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35])])).
cnf(c_0_46, plain, (l1_algstr_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_47, plain, (v1_group_1(X1)|v2_struct_0(X1)|~v4_vectsp_1(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_48, plain, (l4_algstr_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_38])).
fof(c_0_49, plain, ![X73]:((l2_algstr_0(X73)|~l6_algstr_0(X73))&(l5_algstr_0(X73)|~l6_algstr_0(X73))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
fof(c_0_50, plain, ![X1]:(l6_algstr_0(X1)=>((~v2_struct_0(X1)&v5_vectsp_1(X1))=>((~v2_struct_0(X1)&v1_vectsp_1(X1))&v2_vectsp_1(X1)))), inference(fof_simplification,[status(thm)],[cc1_vectsp_1])).
fof(c_0_51, plain, ![X86, X87, X88, X89, X90, X91, X92, X93, X94, X95]:(((((((v1_funct_1(X88)|~r2_tarski(X88,u1_struct_0(X86))|~epred1_2(X87,X86))&(v1_funct_2(X88,k4_ordinal1,u1_struct_0(X87))|~r2_tarski(X88,u1_struct_0(X86))|~epred1_2(X87,X86)))&(v1_polynom1(X88,X87)|~r2_tarski(X88,u1_struct_0(X86))|~epred1_2(X87,X86)))&(m1_subset_1(X88,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X87))))|~r2_tarski(X88,u1_struct_0(X86))|~epred1_2(X87,X86)))&(~v1_funct_1(X89)|~v1_funct_2(X89,k4_ordinal1,u1_struct_0(X87))|~v1_polynom1(X89,X87)|~m1_subset_1(X89,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X87))))|r2_tarski(X89,u1_struct_0(X86))|~epred1_2(X87,X86)))&(~m1_subset_1(X90,u1_struct_0(X86))|(~m1_subset_1(X91,u1_struct_0(X86))|(~v1_funct_1(X92)|~v1_funct_2(X92,k4_ordinal1,u1_struct_0(X87))|~m1_subset_1(X92,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X87))))|(~v1_funct_1(X93)|~v1_funct_2(X93,k4_ordinal1,u1_struct_0(X87))|~m1_subset_1(X93,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X87))))|(X90!=X92|X91!=X93|k1_algstr_0(X86,X90,X91)=k1_normsp_1(X87,X92,X93)))))|~epred1_2(X87,X86)))&(((m1_subset_1(esk10_2(X94,X95),u1_struct_0(X94))|(~r2_tarski(esk9_2(X94,X95),u1_struct_0(X94))|(~v1_funct_1(esk9_2(X94,X95))|~v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|~v1_polynom1(esk9_2(X94,X95),X95)|~m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))))|epred1_2(X95,X94))&((m1_subset_1(esk11_2(X94,X95),u1_struct_0(X94))|(~r2_tarski(esk9_2(X94,X95),u1_struct_0(X94))|(~v1_funct_1(esk9_2(X94,X95))|~v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|~v1_polynom1(esk9_2(X94,X95),X95)|~m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))))|epred1_2(X95,X94))&((((v1_funct_1(esk12_2(X94,X95))|(~r2_tarski(esk9_2(X94,X95),u1_struct_0(X94))|(~v1_funct_1(esk9_2(X94,X95))|~v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|~v1_polynom1(esk9_2(X94,X95),X95)|~m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))))|epred1_2(X95,X94))&(v1_funct_2(esk12_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|(~r2_tarski(esk9_2(X94,X95),u1_struct_0(X94))|(~v1_funct_1(esk9_2(X94,X95))|~v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|~v1_polynom1(esk9_2(X94,X95),X95)|~m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))))|epred1_2(X95,X94)))&(m1_subset_1(esk12_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))|(~r2_tarski(esk9_2(X94,X95),u1_struct_0(X94))|(~v1_funct_1(esk9_2(X94,X95))|~v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|~v1_polynom1(esk9_2(X94,X95),X95)|~m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))))|epred1_2(X95,X94)))&((((v1_funct_1(esk13_2(X94,X95))|(~r2_tarski(esk9_2(X94,X95),u1_struct_0(X94))|(~v1_funct_1(esk9_2(X94,X95))|~v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|~v1_polynom1(esk9_2(X94,X95),X95)|~m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))))|epred1_2(X95,X94))&(v1_funct_2(esk13_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|(~r2_tarski(esk9_2(X94,X95),u1_struct_0(X94))|(~v1_funct_1(esk9_2(X94,X95))|~v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|~v1_polynom1(esk9_2(X94,X95),X95)|~m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))))|epred1_2(X95,X94)))&(m1_subset_1(esk13_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))|(~r2_tarski(esk9_2(X94,X95),u1_struct_0(X94))|(~v1_funct_1(esk9_2(X94,X95))|~v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|~v1_polynom1(esk9_2(X94,X95),X95)|~m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))))|epred1_2(X95,X94)))&(((esk10_2(X94,X95)=esk12_2(X94,X95)|(~r2_tarski(esk9_2(X94,X95),u1_struct_0(X94))|(~v1_funct_1(esk9_2(X94,X95))|~v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|~v1_polynom1(esk9_2(X94,X95),X95)|~m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))))|epred1_2(X95,X94))&(esk11_2(X94,X95)=esk13_2(X94,X95)|(~r2_tarski(esk9_2(X94,X95),u1_struct_0(X94))|(~v1_funct_1(esk9_2(X94,X95))|~v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|~v1_polynom1(esk9_2(X94,X95),X95)|~m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))))|epred1_2(X95,X94)))&(k1_algstr_0(X94,esk10_2(X94,X95),esk11_2(X94,X95))!=k1_normsp_1(X95,esk12_2(X94,X95),esk13_2(X94,X95))|(~r2_tarski(esk9_2(X94,X95),u1_struct_0(X94))|(~v1_funct_1(esk9_2(X94,X95))|~v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|~v1_polynom1(esk9_2(X94,X95),X95)|~m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))))|epred1_2(X95,X94)))))))&(((((m1_subset_1(esk10_2(X94,X95),u1_struct_0(X94))|(v1_funct_1(esk9_2(X94,X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))&((m1_subset_1(esk11_2(X94,X95),u1_struct_0(X94))|(v1_funct_1(esk9_2(X94,X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))&((((v1_funct_1(esk12_2(X94,X95))|(v1_funct_1(esk9_2(X94,X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))&(v1_funct_2(esk12_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|(v1_funct_1(esk9_2(X94,X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))&(m1_subset_1(esk12_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))|(v1_funct_1(esk9_2(X94,X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))&((((v1_funct_1(esk13_2(X94,X95))|(v1_funct_1(esk9_2(X94,X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))&(v1_funct_2(esk13_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|(v1_funct_1(esk9_2(X94,X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))&(m1_subset_1(esk13_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))|(v1_funct_1(esk9_2(X94,X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))&(((esk10_2(X94,X95)=esk12_2(X94,X95)|(v1_funct_1(esk9_2(X94,X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))&(esk11_2(X94,X95)=esk13_2(X94,X95)|(v1_funct_1(esk9_2(X94,X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))&(k1_algstr_0(X94,esk10_2(X94,X95),esk11_2(X94,X95))!=k1_normsp_1(X95,esk12_2(X94,X95),esk13_2(X94,X95))|(v1_funct_1(esk9_2(X94,X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))))))&((m1_subset_1(esk10_2(X94,X95),u1_struct_0(X94))|(v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))&((m1_subset_1(esk11_2(X94,X95),u1_struct_0(X94))|(v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))&((((v1_funct_1(esk12_2(X94,X95))|(v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))&(v1_funct_2(esk12_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|(v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))&(m1_subset_1(esk12_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))|(v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))&((((v1_funct_1(esk13_2(X94,X95))|(v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))&(v1_funct_2(esk13_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|(v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))&(m1_subset_1(esk13_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))|(v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))&(((esk10_2(X94,X95)=esk12_2(X94,X95)|(v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))&(esk11_2(X94,X95)=esk13_2(X94,X95)|(v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))&(k1_algstr_0(X94,esk10_2(X94,X95),esk11_2(X94,X95))!=k1_normsp_1(X95,esk12_2(X94,X95),esk13_2(X94,X95))|(v1_funct_2(esk9_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))))))))&((m1_subset_1(esk10_2(X94,X95),u1_struct_0(X94))|(v1_polynom1(esk9_2(X94,X95),X95)|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))&((m1_subset_1(esk11_2(X94,X95),u1_struct_0(X94))|(v1_polynom1(esk9_2(X94,X95),X95)|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))&((((v1_funct_1(esk12_2(X94,X95))|(v1_polynom1(esk9_2(X94,X95),X95)|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))&(v1_funct_2(esk12_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|(v1_polynom1(esk9_2(X94,X95),X95)|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))&(m1_subset_1(esk12_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))|(v1_polynom1(esk9_2(X94,X95),X95)|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))&((((v1_funct_1(esk13_2(X94,X95))|(v1_polynom1(esk9_2(X94,X95),X95)|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))&(v1_funct_2(esk13_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|(v1_polynom1(esk9_2(X94,X95),X95)|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))&(m1_subset_1(esk13_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))|(v1_polynom1(esk9_2(X94,X95),X95)|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))&(((esk10_2(X94,X95)=esk12_2(X94,X95)|(v1_polynom1(esk9_2(X94,X95),X95)|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))&(esk11_2(X94,X95)=esk13_2(X94,X95)|(v1_polynom1(esk9_2(X94,X95),X95)|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))&(k1_algstr_0(X94,esk10_2(X94,X95),esk11_2(X94,X95))!=k1_normsp_1(X95,esk12_2(X94,X95),esk13_2(X94,X95))|(v1_polynom1(esk9_2(X94,X95),X95)|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))))))))&((m1_subset_1(esk10_2(X94,X95),u1_struct_0(X94))|(m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))&((m1_subset_1(esk11_2(X94,X95),u1_struct_0(X94))|(m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))&((((v1_funct_1(esk12_2(X94,X95))|(m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))&(v1_funct_2(esk12_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|(m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))&(m1_subset_1(esk12_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))|(m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))&((((v1_funct_1(esk13_2(X94,X95))|(m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))&(v1_funct_2(esk13_2(X94,X95),k4_ordinal1,u1_struct_0(X95))|(m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))&(m1_subset_1(esk13_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))|(m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))&(((esk10_2(X94,X95)=esk12_2(X94,X95)|(m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94))&(esk11_2(X94,X95)=esk13_2(X94,X95)|(m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))&(k1_algstr_0(X94,esk10_2(X94,X95),esk11_2(X94,X95))!=k1_normsp_1(X95,esk12_2(X94,X95),esk13_2(X94,X95))|(m1_subset_1(esk9_2(X94,X95),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X95))))|r2_tarski(esk9_2(X94,X95),u1_struct_0(X94)))|epred1_2(X95,X94)))))))))), 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)],[c_0_32])])])])])])).
cnf(c_0_52, plain, (m1_subset_1(k2_basel_2(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(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)|~m1_subset_1(X2,u1_struct_0(k12_polynom3(X1)))), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_53, negated_conjecture, (k2_basel_2(esk1_0,esk2_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(spm,[status(thm)],[c_0_40, c_0_41]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_27])]), c_0_28])).
cnf(c_0_54, plain, (v1_polynom1(k2_basel_2(X1,X2),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)|~m1_subset_1(X2,u1_struct_0(k12_polynom3(X1)))), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_55, plain, (v1_funct_2(k2_basel_2(X1,X2),k4_ordinal1,u1_struct_0(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)|~m1_subset_1(X2,u1_struct_0(k12_polynom3(X1)))), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_56, plain, (v1_funct_1(k2_basel_2(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(k12_polynom3(X1)))), inference(split_conjunct,[status(thm)],[c_0_39])).
fof(c_0_57, plain, ![X53, X54, X55, X56, X57, X58]:(((((epred1_2(X53,X54)|X54!=k12_polynom3(X53)|(v2_struct_0(X54)|~v36_algstr_0(X54)|~l6_algstr_0(X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_vectsp_1(X53)|~l6_algstr_0(X53)))&(~m1_subset_1(X55,u1_struct_0(X54))|(~m1_subset_1(X56,u1_struct_0(X54))|(~v1_funct_1(X57)|~v1_funct_2(X57,k4_ordinal1,u1_struct_0(X53))|~m1_subset_1(X57,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X53))))|(~v1_funct_1(X58)|~v1_funct_2(X58,k4_ordinal1,u1_struct_0(X53))|~m1_subset_1(X58,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X53))))|(X55!=X57|X56!=X58|k6_algstr_0(X54,X55,X56)=k10_polynom3(X53,X57,X58)))))|X54!=k12_polynom3(X53)|(v2_struct_0(X54)|~v36_algstr_0(X54)|~l6_algstr_0(X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_vectsp_1(X53)|~l6_algstr_0(X53))))&(k4_struct_0(X54)=k8_polynom3(X53)|X54!=k12_polynom3(X53)|(v2_struct_0(X54)|~v36_algstr_0(X54)|~l6_algstr_0(X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_vectsp_1(X53)|~l6_algstr_0(X53))))&(k5_struct_0(X54)=k9_polynom3(X53)|X54!=k12_polynom3(X53)|(v2_struct_0(X54)|~v36_algstr_0(X54)|~l6_algstr_0(X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_vectsp_1(X53)|~l6_algstr_0(X53))))&((m1_subset_1(esk5_2(X53,X54),u1_struct_0(X54))|~epred1_2(X53,X54)|k4_struct_0(X54)!=k8_polynom3(X53)|k5_struct_0(X54)!=k9_polynom3(X53)|X54=k12_polynom3(X53)|(v2_struct_0(X54)|~v36_algstr_0(X54)|~l6_algstr_0(X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_vectsp_1(X53)|~l6_algstr_0(X53)))&((m1_subset_1(esk6_2(X53,X54),u1_struct_0(X54))|~epred1_2(X53,X54)|k4_struct_0(X54)!=k8_polynom3(X53)|k5_struct_0(X54)!=k9_polynom3(X53)|X54=k12_polynom3(X53)|(v2_struct_0(X54)|~v36_algstr_0(X54)|~l6_algstr_0(X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_vectsp_1(X53)|~l6_algstr_0(X53)))&((((v1_funct_1(esk7_2(X53,X54))|~epred1_2(X53,X54)|k4_struct_0(X54)!=k8_polynom3(X53)|k5_struct_0(X54)!=k9_polynom3(X53)|X54=k12_polynom3(X53)|(v2_struct_0(X54)|~v36_algstr_0(X54)|~l6_algstr_0(X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_vectsp_1(X53)|~l6_algstr_0(X53)))&(v1_funct_2(esk7_2(X53,X54),k4_ordinal1,u1_struct_0(X53))|~epred1_2(X53,X54)|k4_struct_0(X54)!=k8_polynom3(X53)|k5_struct_0(X54)!=k9_polynom3(X53)|X54=k12_polynom3(X53)|(v2_struct_0(X54)|~v36_algstr_0(X54)|~l6_algstr_0(X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_vectsp_1(X53)|~l6_algstr_0(X53))))&(m1_subset_1(esk7_2(X53,X54),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X53))))|~epred1_2(X53,X54)|k4_struct_0(X54)!=k8_polynom3(X53)|k5_struct_0(X54)!=k9_polynom3(X53)|X54=k12_polynom3(X53)|(v2_struct_0(X54)|~v36_algstr_0(X54)|~l6_algstr_0(X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_vectsp_1(X53)|~l6_algstr_0(X53))))&((((v1_funct_1(esk8_2(X53,X54))|~epred1_2(X53,X54)|k4_struct_0(X54)!=k8_polynom3(X53)|k5_struct_0(X54)!=k9_polynom3(X53)|X54=k12_polynom3(X53)|(v2_struct_0(X54)|~v36_algstr_0(X54)|~l6_algstr_0(X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_vectsp_1(X53)|~l6_algstr_0(X53)))&(v1_funct_2(esk8_2(X53,X54),k4_ordinal1,u1_struct_0(X53))|~epred1_2(X53,X54)|k4_struct_0(X54)!=k8_polynom3(X53)|k5_struct_0(X54)!=k9_polynom3(X53)|X54=k12_polynom3(X53)|(v2_struct_0(X54)|~v36_algstr_0(X54)|~l6_algstr_0(X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_vectsp_1(X53)|~l6_algstr_0(X53))))&(m1_subset_1(esk8_2(X53,X54),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X53))))|~epred1_2(X53,X54)|k4_struct_0(X54)!=k8_polynom3(X53)|k5_struct_0(X54)!=k9_polynom3(X53)|X54=k12_polynom3(X53)|(v2_struct_0(X54)|~v36_algstr_0(X54)|~l6_algstr_0(X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_vectsp_1(X53)|~l6_algstr_0(X53))))&(((esk5_2(X53,X54)=esk7_2(X53,X54)|~epred1_2(X53,X54)|k4_struct_0(X54)!=k8_polynom3(X53)|k5_struct_0(X54)!=k9_polynom3(X53)|X54=k12_polynom3(X53)|(v2_struct_0(X54)|~v36_algstr_0(X54)|~l6_algstr_0(X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_vectsp_1(X53)|~l6_algstr_0(X53)))&(esk6_2(X53,X54)=esk8_2(X53,X54)|~epred1_2(X53,X54)|k4_struct_0(X54)!=k8_polynom3(X53)|k5_struct_0(X54)!=k9_polynom3(X53)|X54=k12_polynom3(X53)|(v2_struct_0(X54)|~v36_algstr_0(X54)|~l6_algstr_0(X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_vectsp_1(X53)|~l6_algstr_0(X53))))&(k6_algstr_0(X54,esk5_2(X53,X54),esk6_2(X53,X54))!=k10_polynom3(X53,esk7_2(X53,X54),esk8_2(X53,X54))|~epred1_2(X53,X54)|k4_struct_0(X54)!=k8_polynom3(X53)|k5_struct_0(X54)!=k9_polynom3(X53)|X54=k12_polynom3(X53)|(v2_struct_0(X54)|~v36_algstr_0(X54)|~l6_algstr_0(X54))|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v5_vectsp_1(X53)|~l6_algstr_0(X53))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])])])).
fof(c_0_58, plain, ![X65]:(((~v2_struct_0(k12_polynom3(X65))|(v2_struct_0(X65)|~v13_algstr_0(X65)|~v3_rlvect_1(X65)|~v4_rlvect_1(X65)|~v5_vectsp_1(X65)|~l6_algstr_0(X65)))&(v36_algstr_0(k12_polynom3(X65))|(v2_struct_0(X65)|~v13_algstr_0(X65)|~v3_rlvect_1(X65)|~v4_rlvect_1(X65)|~v5_vectsp_1(X65)|~l6_algstr_0(X65))))&(l6_algstr_0(k12_polynom3(X65))|(v2_struct_0(X65)|~v13_algstr_0(X65)|~v3_rlvect_1(X65)|~v4_rlvect_1(X65)|~v5_vectsp_1(X65)|~l6_algstr_0(X65)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])).
cnf(c_0_59, negated_conjecture, (k2_polynom4(esk1_0,k2_basel_2(esk1_0,k3_rlvect_1(k12_polynom3(esk1_0),esk2_0,esk3_0)),esk4_0)!=k3_rlvect_1(esk1_0,k2_polynom4(esk1_0,k2_basel_2(esk1_0,esk2_0),esk4_0),k2_polynom4(esk1_0,k2_basel_2(esk1_0,esk3_0),esk4_0))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_60, negated_conjecture, (k2_basel_2(esk1_0,esk3_0)=esk3_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(spm,[status(thm)],[c_0_40, c_0_34]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_27])]), c_0_28])).
cnf(c_0_61, plain, (m1_subset_1(k3_rlvect_1(X1,X2,X3),u1_struct_0(X1))|~v2_rlvect_1(X1)|~l1_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_62, negated_conjecture, (k3_rlvect_1(k12_polynom3(esk1_0),X1,esk3_0)=k1_algstr_0(k12_polynom3(esk1_0),X1,esk3_0)|~l2_algstr_0(k12_polynom3(esk1_0))|~m1_subset_1(X1,u1_struct_0(k12_polynom3(esk1_0)))), inference(spm,[status(thm)],[c_0_45, c_0_46])).
fof(c_0_63, plain, ![X1]:((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v2_vectsp_1(X1))&v1_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]:((((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]:(m1_subset_1(X4,u1_struct_0(X1))=>k2_polynom4(X1,k7_polynom3(X1,X2,X3),X4)=k3_rlvect_1(X1,k2_polynom4(X1,X2,X4),k2_polynom4(X1,X3,X4)))))), inference(fof_simplification,[status(thm)],[t19_polynom4])).
cnf(c_0_64, plain, (v1_group_1(X1)|v2_struct_0(X1)|~l5_algstr_0(X1)|~v4_vectsp_1(X1)), inference(spm,[status(thm)],[c_0_47, c_0_48])).
cnf(c_0_65, plain, (l5_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_49])).
fof(c_0_66, plain, ![X51]:(((~v2_struct_0(X51)|(v2_struct_0(X51)|~v5_vectsp_1(X51))|~l6_algstr_0(X51))&(v1_vectsp_1(X51)|(v2_struct_0(X51)|~v5_vectsp_1(X51))|~l6_algstr_0(X51)))&(v2_vectsp_1(X51)|(v2_struct_0(X51)|~v5_vectsp_1(X51))|~l6_algstr_0(X51))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])).
cnf(c_0_67, plain, (r2_tarski(X1,u1_struct_0(X3))|~v1_funct_1(X1)|~v1_funct_2(X1,k4_ordinal1,u1_struct_0(X2))|~v1_polynom1(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X2))))|~epred1_2(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_68, negated_conjecture, (m1_subset_1(esk2_0,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,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(spm,[status(thm)],[c_0_52, c_0_41]), c_0_53]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_27])]), c_0_28])).
cnf(c_0_69, negated_conjecture, (v1_polynom1(esk2_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(spm,[status(thm)],[c_0_54, c_0_41]), c_0_53]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_27])]), c_0_28])).
cnf(c_0_70, negated_conjecture, (v1_funct_2(esk2_0,k4_ordinal1,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(spm,[status(thm)],[c_0_55, c_0_41]), c_0_53]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_27])]), c_0_28])).
cnf(c_0_71, negated_conjecture, (v1_funct_1(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(spm,[status(thm)],[c_0_56, c_0_41]), c_0_53]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_27])]), c_0_28])).
cnf(c_0_72, plain, (epred1_2(X1,X2)|v2_struct_0(X2)|v2_struct_0(X1)|X2!=k12_polynom3(X1)|~v36_algstr_0(X2)|~l6_algstr_0(X2)|~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_57])).
cnf(c_0_73, 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_58])).
cnf(c_0_74, plain, (v36_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_58])).
cnf(c_0_75, 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_58])).
cnf(c_0_76, negated_conjecture, (k2_polynom4(esk1_0,k2_basel_2(esk1_0,k3_rlvect_1(k12_polynom3(esk1_0),esk2_0,esk3_0)),esk4_0)!=k3_rlvect_1(esk1_0,k2_polynom4(esk1_0,esk2_0,esk4_0),k2_polynom4(esk1_0,esk3_0,esk4_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59, c_0_60]), c_0_53])).
cnf(c_0_77, negated_conjecture, (m1_subset_1(k1_algstr_0(k12_polynom3(esk1_0),X1,esk3_0),u1_struct_0(k12_polynom3(esk1_0)))|~l2_algstr_0(k12_polynom3(esk1_0))|~m1_subset_1(X1,u1_struct_0(k12_polynom3(esk1_0)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_34]), c_0_35])]), c_0_46])).
fof(c_0_78, plain, ![X82, X83, X84, X85]:(v2_struct_0(X82)|~v13_algstr_0(X82)|~v2_rlvect_1(X82)|~v3_rlvect_1(X82)|~v4_rlvect_1(X82)|~v2_vectsp_1(X82)|~v1_group_1(X82)|~l6_algstr_0(X82)|(~v1_funct_1(X83)|~v1_funct_2(X83,k4_ordinal1,u1_struct_0(X82))|~v1_polynom1(X83,X82)|~m1_subset_1(X83,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X82))))|(~v1_funct_1(X84)|~v1_funct_2(X84,k4_ordinal1,u1_struct_0(X82))|~v1_polynom1(X84,X82)|~m1_subset_1(X84,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X82))))|(~m1_subset_1(X85,u1_struct_0(X82))|k2_polynom4(X82,k7_polynom3(X82,X83,X84),X85)=k3_rlvect_1(X82,k2_polynom4(X82,X83,X85),k2_polynom4(X82,X84,X85)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])])).
cnf(c_0_79, plain, (v1_group_1(X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v4_vectsp_1(X1)), inference(spm,[status(thm)],[c_0_64, c_0_65])).
cnf(c_0_80, negated_conjecture, (v4_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_81, plain, (v2_vectsp_1(X1)|v2_struct_0(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_66])).
cnf(c_0_82, plain, (k1_algstr_0(X2,X1,X3)=k1_normsp_1(X5,X4,X6)|~m1_subset_1(X1,u1_struct_0(X2))|~m1_subset_1(X3,u1_struct_0(X2))|~v1_funct_1(X4)|~v1_funct_2(X4,k4_ordinal1,u1_struct_0(X5))|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X5))))|~v1_funct_1(X6)|~v1_funct_2(X6,k4_ordinal1,u1_struct_0(X5))|~m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X5))))|X1!=X4|X3!=X6|~epred1_2(X5,X2)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_83, plain, (m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X2))))|~r2_tarski(X1,u1_struct_0(X3))|~epred1_2(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_84, plain, (r2_tarski(esk2_0,u1_struct_0(X1))|~epred1_2(esk1_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_68]), c_0_69]), c_0_70]), c_0_71])])).
cnf(c_0_85, plain, (epred1_2(X1,k12_polynom3(X1))|v2_struct_0(X1)|~l6_algstr_0(X1)|~v5_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_72]), c_0_73]), c_0_74]), c_0_75])).
cnf(c_0_86, negated_conjecture, (k2_polynom4(esk1_0,k2_basel_2(esk1_0,k1_algstr_0(k12_polynom3(esk1_0),esk2_0,esk3_0)),esk4_0)!=k3_rlvect_1(esk1_0,k2_polynom4(esk1_0,esk2_0,esk4_0),k2_polynom4(esk1_0,esk3_0,esk4_0))|~l2_algstr_0(k12_polynom3(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_62]), c_0_41])])).
cnf(c_0_87, negated_conjecture, (k2_basel_2(esk1_0,k1_algstr_0(k12_polynom3(esk1_0),X1,esk3_0))=k1_algstr_0(k12_polynom3(esk1_0),X1,esk3_0)|~l2_algstr_0(k12_polynom3(esk1_0))|~m1_subset_1(X1,u1_struct_0(k12_polynom3(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(spm,[status(thm)],[c_0_40, c_0_77]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_27])]), c_0_28])).
cnf(c_0_88, plain, (v2_struct_0(X1)|k2_polynom4(X1,k7_polynom3(X1,X2,X3),X4)=k3_rlvect_1(X1,k2_polynom4(X1,X2,X4),k2_polynom4(X1,X3,X4))|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v2_vectsp_1(X1)|~v1_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))))|~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))))|~m1_subset_1(X4,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_78])).
cnf(c_0_89, negated_conjecture, (m1_subset_1(esk3_0,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,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(spm,[status(thm)],[c_0_52, c_0_34]), c_0_60]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_27])]), c_0_28])).
cnf(c_0_90, negated_conjecture, (v1_polynom1(esk3_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(spm,[status(thm)],[c_0_54, c_0_34]), c_0_60]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_27])]), c_0_28])).
cnf(c_0_91, negated_conjecture, (v1_funct_2(esk3_0,k4_ordinal1,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(spm,[status(thm)],[c_0_55, c_0_34]), c_0_60]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_27])]), c_0_28])).
cnf(c_0_92, negated_conjecture, (v1_funct_1(esk3_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(spm,[status(thm)],[c_0_56, c_0_34]), c_0_60]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_27])]), c_0_28])).
cnf(c_0_93, negated_conjecture, (v1_group_1(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_22]), c_0_80])]), c_0_28])).
cnf(c_0_94, negated_conjecture, (v2_vectsp_1(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_22]), c_0_23])]), c_0_28])).
cnf(c_0_95, plain, (k1_normsp_1(X1,X2,X3)=k1_algstr_0(X4,X2,X3)|~epred1_2(X1,X4)|~v1_funct_2(X3,k4_ordinal1,u1_struct_0(X1))|~v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1))|~v1_funct_1(X3)|~v1_funct_1(X2)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(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(X4))|~m1_subset_1(X2,u1_struct_0(X4))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_82])])).
cnf(c_0_96, plain, (m1_subset_1(esk2_0,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|~epred1_2(esk1_0,X2)|~epred1_2(X1,X2)), inference(spm,[status(thm)],[c_0_83, c_0_84])).
cnf(c_0_97, negated_conjecture, (epred1_2(esk1_0,k12_polynom3(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(spm,[status(thm)],[c_0_85, c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_27])]), c_0_28])).
fof(c_0_98, plain, ![X1, X2, X3]:(((((((((~v2_struct_0(X1)&v2_rlvect_1(X1))&l2_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)))))=>k7_polynom3(X1,X2,X3)=k1_normsp_1(X1,X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k7_polynom3])).
cnf(c_0_99, negated_conjecture, (k3_rlvect_1(esk1_0,k2_polynom4(esk1_0,esk2_0,esk4_0),k2_polynom4(esk1_0,esk3_0,esk4_0))!=k2_polynom4(esk1_0,k1_algstr_0(k12_polynom3(esk1_0),esk2_0,esk3_0),esk4_0)|~l2_algstr_0(k12_polynom3(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_87]), c_0_41])])).
cnf(c_0_100, negated_conjecture, (k3_rlvect_1(esk1_0,k2_polynom4(esk1_0,X1,X2),k2_polynom4(esk1_0,esk3_0,X2))=k2_polynom4(esk1_0,k7_polynom3(esk1_0,X1,esk3_0),X2)|~v1_polynom1(X1,esk1_0)|~v1_funct_2(X1,k4_ordinal1,u1_struct_0(esk1_0))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))|~m1_subset_1(X2,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(spm,[status(thm)],[c_0_88, c_0_89]), c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_22]), c_0_24]), c_0_25]), c_0_26]), c_0_27])]), c_0_28])).
cnf(c_0_101, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_102, negated_conjecture, (k1_algstr_0(X1,X2,esk3_0)=k1_normsp_1(esk1_0,X2,esk3_0)|~epred1_2(esk1_0,X1)|~v1_funct_2(X2,k4_ordinal1,u1_struct_0(esk1_0))|~v1_funct_1(X2)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(esk1_0))))|~m1_subset_1(esk3_0,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_89]), c_0_91]), c_0_92])])).
cnf(c_0_103, negated_conjecture, (m1_subset_1(esk2_0,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))|~epred1_2(X1,k12_polynom3(esk1_0))), inference(spm,[status(thm)],[c_0_96, c_0_97])).
fof(c_0_104, plain, ![X79, X80, X81]:(v2_struct_0(X79)|~v2_rlvect_1(X79)|~l2_algstr_0(X79)|~v1_funct_1(X80)|~v1_funct_2(X80,k4_ordinal1,u1_struct_0(X79))|~m1_subset_1(X80,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X79))))|~v1_funct_1(X81)|~v1_funct_2(X81,k4_ordinal1,u1_struct_0(X79))|~m1_subset_1(X81,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X79))))|k7_polynom3(X79,X80,X81)=k1_normsp_1(X79,X80,X81)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_98])])).
cnf(c_0_105, negated_conjecture, (k2_polynom4(esk1_0,k1_algstr_0(k12_polynom3(esk1_0),esk2_0,esk3_0),esk4_0)!=k2_polynom4(esk1_0,k7_polynom3(esk1_0,esk2_0,esk3_0),esk4_0)|~l2_algstr_0(k12_polynom3(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_100]), c_0_69]), c_0_70]), c_0_71]), c_0_68]), c_0_101])])).
cnf(c_0_106, negated_conjecture, (k1_algstr_0(X1,esk2_0,esk3_0)=k1_normsp_1(esk1_0,esk2_0,esk3_0)|~epred1_2(esk1_0,X1)|~m1_subset_1(esk3_0,u1_struct_0(X1))|~m1_subset_1(esk2_0,u1_struct_0(X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_103]), c_0_70]), c_0_71]), c_0_97])])).
cnf(c_0_107, plain, (v2_struct_0(X1)|k7_polynom3(X1,X2,X3)=k1_normsp_1(X1,X2,X3)|~v2_rlvect_1(X1)|~l2_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_104])).
cnf(c_0_108, negated_conjecture, (k2_polynom4(esk1_0,k7_polynom3(esk1_0,esk2_0,esk3_0),esk4_0)!=k2_polynom4(esk1_0,k1_normsp_1(esk1_0,esk2_0,esk3_0),esk4_0)|~l2_algstr_0(k12_polynom3(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_106]), c_0_97]), c_0_34]), c_0_41])])).
cnf(c_0_109, negated_conjecture, (k7_polynom3(esk1_0,X1,esk3_0)=k1_normsp_1(esk1_0,X1,esk3_0)|~l2_algstr_0(esk1_0)|~v1_funct_2(X1,k4_ordinal1,u1_struct_0(esk1_0))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,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(spm,[status(thm)],[c_0_107, c_0_89]), c_0_91]), c_0_92]), c_0_26])]), c_0_28])).
cnf(c_0_110, negated_conjecture, (~l2_algstr_0(k12_polynom3(esk1_0))|~l2_algstr_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_109]), c_0_70]), c_0_71]), c_0_68])])).
cnf(c_0_111, plain, (l2_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_112, negated_conjecture, (l6_algstr_0(k12_polynom3(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(spm,[status(thm)],[c_0_73, c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_27])]), c_0_28])).
cnf(c_0_113, negated_conjecture, (~l2_algstr_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_111]), c_0_112])])).
cnf(c_0_114, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_111]), c_0_22])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 115
# Proof object clause steps            : 73
# Proof object formula steps           : 42
# Proof object conjectures             : 47
# Proof object clause conjectures      : 44
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 35
# Proof object initial formulas used   : 15
# Proof object generating inferences   : 35
# Proof object simplifying inferences  : 174
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 16
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 119
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 117
# Processed clauses                    : 16654
# ...of these trivial                  : 1
# ...subsumed                          : 2276
# ...remaining for further processing  : 14377
# Other redundant clauses eliminated   : 8
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 3445
# Backward-rewritten                   : 68
# Generated clauses                    : 112733
# ...of the previous two non-trivial   : 109116
# Contextual simplify-reflections      : 700
# Paramodulations                      : 112728
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 8
# Propositional unsat checks           : 2
#    Propositional check models        : 2
#    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       : 0.089
#    Propositional solver time         : 0.011
#    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  : 10746
#    Positive orientable unit clauses  : 60
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 10683
# Current number of unprocessed clauses: 92637
# ...number of literals in the above   : 660541
# Current number of archived formulas  : 0
# Current number of archived clauses   : 3626
# Clause-clause subsumption calls (NU) : 64863913
# Rec. Clause-clause subsumption calls : 28835713
# Non-unit clause-clause subsumptions  : 6421
# Unit Clause-clause subsumption calls : 111036
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 52
# BW rewrite match successes           : 24
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 5727127

# -------------------------------------------------
# User time                : 21.783 s
# System time              : 0.083 s
# Total time               : 21.866 s
# Maximum resident set size: 3452 pages
