# 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       : 0.017 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(dt_k8_ring_3, axiom, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_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))=>(v36_algstr_0(k8_ring_3(X1))&m1_ec_pf_1(k8_ring_3(X1),X1))), file('field_16/field_16__t42_field_16', dt_k8_ring_3)).
fof(t42_field_16, conjecture, ![X1]:(((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v8_struct_0(X1))&v13_algstr_0(X1))&v33_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))&v5_group_1(X1))&l6_algstr_0(X1))=>k1_ec_pf_1(k8_ring_3(X1))=k3_ring_3(X1)), file('field_16/field_16__t42_field_16', t42_field_16)).
fof(redefinition_k8_ring_3, axiom, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_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))=>k8_ring_3(X1)=k7_ring_3(X1)), file('field_16/field_16__t42_field_16', redefinition_k8_ring_3)).
fof(dt_m1_ec_pf_1, axiom, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&l6_algstr_0(X1))=>![X2]:(m1_ec_pf_1(X2,X1)=>(((((((((((~(v2_struct_0(X2))&~(v6_struct_0(X2)))&v13_algstr_0(X2))&v33_algstr_0(X2))&v3_group_1(X2))&v5_group_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&l6_algstr_0(X2)))), file('field_16/field_16__t42_field_16', dt_m1_ec_pf_1)).
fof(fc18_ring_3, axiom, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_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))=>(~(v6_struct_0(k7_ring_3(X1)))&v36_algstr_0(k7_ring_3(X1)))), file('field_16/field_16__t42_field_16', fc18_ring_3)).
fof(l61_field_16, axiom, ![X1]:(((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v8_struct_0(X1))&v13_algstr_0(X1))&v33_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))&v5_group_1(X1))&l6_algstr_0(X1))=>?[X2]:((v7_ordinal1(X2)&v1_int_2(X2))&?[X3]:(((v7_ordinal1(X3)&~(v8_ordinal1(X3)))&k3_ring_3(X1)=X2)&k7_struct_0(X1)=k1_newton(X2,X3)))), file('field_16/field_16__t42_field_16', l61_field_16)).
fof(redefinition_k1_ec_pf_1, axiom, ![X1]:(((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v8_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&l6_algstr_0(X1))=>k1_ec_pf_1(X1)=k7_struct_0(X1)), file('field_16/field_16__t42_field_16', redefinition_k1_ec_pf_1)).
fof(fc1_field_15, axiom, ![X1]:(((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v8_struct_0(X1))&v13_algstr_0(X1))&v33_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))&v5_group_1(X1))&l6_algstr_0(X1))=>(v7_ordinal1(k3_ring_3(X1))&v1_int_2(k3_ring_3(X1)))), file('field_16/field_16__t42_field_16', fc1_field_15)).
fof(dt_k3_ring_3, axiom, ![X1]:(((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_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))=>v7_ordinal1(k3_ring_3(X1))), file('field_16/field_16__t42_field_16', dt_k3_ring_3)).
fof(cc4_field_16, axiom, ![X1]:(((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v8_struct_0(X1))&v13_algstr_0(X1))&v33_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))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:(m1_ec_pf_1(X2,X1)=>v8_struct_0(X2))), file('field_16/field_16__t42_field_16', cc4_field_16)).
fof(l60_field_16, axiom, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:((v7_ordinal1(X2)&~(v8_ordinal1(X2)))=>![X3]:((((((((((((~(v2_struct_0(X3))&~(v6_struct_0(X3)))&v13_algstr_0(X3))&v33_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v4_vectsp_1(X3))&v5_vectsp_1(X3))&v3_group_1(X3))&v5_group_1(X3))&l6_algstr_0(X3))=>(k7_struct_0(X3)=k1_newton(X1,X2)=>k7_struct_0(k8_ring_3(X3))=X1)))), file('field_16/field_16__t42_field_16', l60_field_16)).
fof(c_0_11, plain, ![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_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))=>(v36_algstr_0(k8_ring_3(X1))&m1_ec_pf_1(k8_ring_3(X1),X1))), inference(fof_simplification,[status(thm)],[dt_k8_ring_3])).
fof(c_0_12, negated_conjecture, ~(![X1]:(((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v8_struct_0(X1))&v13_algstr_0(X1))&v33_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))&v5_group_1(X1))&l6_algstr_0(X1))=>k1_ec_pf_1(k8_ring_3(X1))=k3_ring_3(X1))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t42_field_16])])).
fof(c_0_13, plain, ![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_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))=>k8_ring_3(X1)=k7_ring_3(X1)), inference(fof_simplification,[status(thm)],[redefinition_k8_ring_3])).
fof(c_0_14, plain, ![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&l6_algstr_0(X1))=>![X2]:(m1_ec_pf_1(X2,X1)=>(((((((((((~v2_struct_0(X2)&~v6_struct_0(X2))&v13_algstr_0(X2))&v33_algstr_0(X2))&v3_group_1(X2))&v5_group_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&l6_algstr_0(X2)))), inference(fof_simplification,[status(thm)],[dt_m1_ec_pf_1])).
fof(c_0_15, plain, ![X25]:((v36_algstr_0(k8_ring_3(X25))|(v2_struct_0(X25)|v6_struct_0(X25)|~v13_algstr_0(X25)|~v33_algstr_0(X25)|~v3_group_1(X25)|~v5_group_1(X25)|~v2_rlvect_1(X25)|~v3_rlvect_1(X25)|~v4_rlvect_1(X25)|~v4_vectsp_1(X25)|~v5_vectsp_1(X25)|~l6_algstr_0(X25)))&(m1_ec_pf_1(k8_ring_3(X25),X25)|(v2_struct_0(X25)|v6_struct_0(X25)|~v13_algstr_0(X25)|~v33_algstr_0(X25)|~v3_group_1(X25)|~v5_group_1(X25)|~v2_rlvect_1(X25)|~v3_rlvect_1(X25)|~v4_rlvect_1(X25)|~v4_vectsp_1(X25)|~v5_vectsp_1(X25)|~l6_algstr_0(X25)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])).
fof(c_0_16, negated_conjecture, (((((((((((((~v2_struct_0(esk1_0)&~v6_struct_0(esk1_0))&v8_struct_0(esk1_0))&v13_algstr_0(esk1_0))&v33_algstr_0(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))&v3_group_1(esk1_0))&v5_group_1(esk1_0))&l6_algstr_0(esk1_0))&k1_ec_pf_1(k8_ring_3(esk1_0))!=k3_ring_3(esk1_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])).
fof(c_0_17, plain, ![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_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))=>(~v6_struct_0(k7_ring_3(X1))&v36_algstr_0(k7_ring_3(X1)))), inference(fof_simplification,[status(thm)],[fc18_ring_3])).
fof(c_0_18, plain, ![X37]:(v2_struct_0(X37)|v6_struct_0(X37)|~v13_algstr_0(X37)|~v33_algstr_0(X37)|~v3_group_1(X37)|~v5_group_1(X37)|~v2_rlvect_1(X37)|~v3_rlvect_1(X37)|~v4_rlvect_1(X37)|~v4_vectsp_1(X37)|~v5_vectsp_1(X37)|~l6_algstr_0(X37)|k8_ring_3(X37)=k7_ring_3(X37)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])).
fof(c_0_19, plain, ![X1]:(((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v8_struct_0(X1))&v13_algstr_0(X1))&v33_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))&v5_group_1(X1))&l6_algstr_0(X1))=>?[X2]:((v7_ordinal1(X2)&v1_int_2(X2))&?[X3]:(((v7_ordinal1(X3)&~v8_ordinal1(X3))&k3_ring_3(X1)=X2)&k7_struct_0(X1)=k1_newton(X2,X3)))), inference(fof_simplification,[status(thm)],[l61_field_16])).
fof(c_0_20, plain, ![X1]:(((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v8_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&l6_algstr_0(X1))=>k1_ec_pf_1(X1)=k7_struct_0(X1)), inference(fof_simplification,[status(thm)],[redefinition_k1_ec_pf_1])).
fof(c_0_21, plain, ![X26, X27]:((((((((((((~v2_struct_0(X27)|~m1_ec_pf_1(X27,X26)|(v2_struct_0(X26)|v6_struct_0(X26)|~v13_algstr_0(X26)|~v33_algstr_0(X26)|~v3_group_1(X26)|~v5_group_1(X26)|~v4_vectsp_1(X26)|~v5_vectsp_1(X26)|~v2_rlvect_1(X26)|~v3_rlvect_1(X26)|~v4_rlvect_1(X26)|~l6_algstr_0(X26)))&(~v6_struct_0(X27)|~m1_ec_pf_1(X27,X26)|(v2_struct_0(X26)|v6_struct_0(X26)|~v13_algstr_0(X26)|~v33_algstr_0(X26)|~v3_group_1(X26)|~v5_group_1(X26)|~v4_vectsp_1(X26)|~v5_vectsp_1(X26)|~v2_rlvect_1(X26)|~v3_rlvect_1(X26)|~v4_rlvect_1(X26)|~l6_algstr_0(X26))))&(v13_algstr_0(X27)|~m1_ec_pf_1(X27,X26)|(v2_struct_0(X26)|v6_struct_0(X26)|~v13_algstr_0(X26)|~v33_algstr_0(X26)|~v3_group_1(X26)|~v5_group_1(X26)|~v4_vectsp_1(X26)|~v5_vectsp_1(X26)|~v2_rlvect_1(X26)|~v3_rlvect_1(X26)|~v4_rlvect_1(X26)|~l6_algstr_0(X26))))&(v33_algstr_0(X27)|~m1_ec_pf_1(X27,X26)|(v2_struct_0(X26)|v6_struct_0(X26)|~v13_algstr_0(X26)|~v33_algstr_0(X26)|~v3_group_1(X26)|~v5_group_1(X26)|~v4_vectsp_1(X26)|~v5_vectsp_1(X26)|~v2_rlvect_1(X26)|~v3_rlvect_1(X26)|~v4_rlvect_1(X26)|~l6_algstr_0(X26))))&(v3_group_1(X27)|~m1_ec_pf_1(X27,X26)|(v2_struct_0(X26)|v6_struct_0(X26)|~v13_algstr_0(X26)|~v33_algstr_0(X26)|~v3_group_1(X26)|~v5_group_1(X26)|~v4_vectsp_1(X26)|~v5_vectsp_1(X26)|~v2_rlvect_1(X26)|~v3_rlvect_1(X26)|~v4_rlvect_1(X26)|~l6_algstr_0(X26))))&(v5_group_1(X27)|~m1_ec_pf_1(X27,X26)|(v2_struct_0(X26)|v6_struct_0(X26)|~v13_algstr_0(X26)|~v33_algstr_0(X26)|~v3_group_1(X26)|~v5_group_1(X26)|~v4_vectsp_1(X26)|~v5_vectsp_1(X26)|~v2_rlvect_1(X26)|~v3_rlvect_1(X26)|~v4_rlvect_1(X26)|~l6_algstr_0(X26))))&(v4_vectsp_1(X27)|~m1_ec_pf_1(X27,X26)|(v2_struct_0(X26)|v6_struct_0(X26)|~v13_algstr_0(X26)|~v33_algstr_0(X26)|~v3_group_1(X26)|~v5_group_1(X26)|~v4_vectsp_1(X26)|~v5_vectsp_1(X26)|~v2_rlvect_1(X26)|~v3_rlvect_1(X26)|~v4_rlvect_1(X26)|~l6_algstr_0(X26))))&(v5_vectsp_1(X27)|~m1_ec_pf_1(X27,X26)|(v2_struct_0(X26)|v6_struct_0(X26)|~v13_algstr_0(X26)|~v33_algstr_0(X26)|~v3_group_1(X26)|~v5_group_1(X26)|~v4_vectsp_1(X26)|~v5_vectsp_1(X26)|~v2_rlvect_1(X26)|~v3_rlvect_1(X26)|~v4_rlvect_1(X26)|~l6_algstr_0(X26))))&(v2_rlvect_1(X27)|~m1_ec_pf_1(X27,X26)|(v2_struct_0(X26)|v6_struct_0(X26)|~v13_algstr_0(X26)|~v33_algstr_0(X26)|~v3_group_1(X26)|~v5_group_1(X26)|~v4_vectsp_1(X26)|~v5_vectsp_1(X26)|~v2_rlvect_1(X26)|~v3_rlvect_1(X26)|~v4_rlvect_1(X26)|~l6_algstr_0(X26))))&(v3_rlvect_1(X27)|~m1_ec_pf_1(X27,X26)|(v2_struct_0(X26)|v6_struct_0(X26)|~v13_algstr_0(X26)|~v33_algstr_0(X26)|~v3_group_1(X26)|~v5_group_1(X26)|~v4_vectsp_1(X26)|~v5_vectsp_1(X26)|~v2_rlvect_1(X26)|~v3_rlvect_1(X26)|~v4_rlvect_1(X26)|~l6_algstr_0(X26))))&(v4_rlvect_1(X27)|~m1_ec_pf_1(X27,X26)|(v2_struct_0(X26)|v6_struct_0(X26)|~v13_algstr_0(X26)|~v33_algstr_0(X26)|~v3_group_1(X26)|~v5_group_1(X26)|~v4_vectsp_1(X26)|~v5_vectsp_1(X26)|~v2_rlvect_1(X26)|~v3_rlvect_1(X26)|~v4_rlvect_1(X26)|~l6_algstr_0(X26))))&(l6_algstr_0(X27)|~m1_ec_pf_1(X27,X26)|(v2_struct_0(X26)|v6_struct_0(X26)|~v13_algstr_0(X26)|~v33_algstr_0(X26)|~v3_group_1(X26)|~v5_group_1(X26)|~v4_vectsp_1(X26)|~v5_vectsp_1(X26)|~v2_rlvect_1(X26)|~v3_rlvect_1(X26)|~v4_rlvect_1(X26)|~l6_algstr_0(X26)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])).
cnf(c_0_22, plain, (m1_ec_pf_1(k8_ring_3(X1),X1)|v2_struct_0(X1)|v6_struct_0(X1)|~v13_algstr_0(X1)|~v33_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)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_23, negated_conjecture, (l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_24, negated_conjecture, (v5_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_25, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_26, negated_conjecture, (v5_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_27, negated_conjecture, (v4_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_28, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_29, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_30, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_31, negated_conjecture, (v33_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_32, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_33, negated_conjecture, (~v6_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_34, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
fof(c_0_35, plain, ![X28]:((~v6_struct_0(k7_ring_3(X28))|(v2_struct_0(X28)|v6_struct_0(X28)|~v13_algstr_0(X28)|~v33_algstr_0(X28)|~v3_group_1(X28)|~v5_group_1(X28)|~v2_rlvect_1(X28)|~v3_rlvect_1(X28)|~v4_rlvect_1(X28)|~v4_vectsp_1(X28)|~v5_vectsp_1(X28)|~l6_algstr_0(X28)))&(v36_algstr_0(k7_ring_3(X28))|(v2_struct_0(X28)|v6_struct_0(X28)|~v13_algstr_0(X28)|~v33_algstr_0(X28)|~v3_group_1(X28)|~v5_group_1(X28)|~v2_rlvect_1(X28)|~v3_rlvect_1(X28)|~v4_rlvect_1(X28)|~v4_vectsp_1(X28)|~v5_vectsp_1(X28)|~l6_algstr_0(X28)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])).
cnf(c_0_36, plain, (v2_struct_0(X1)|v6_struct_0(X1)|k8_ring_3(X1)=k7_ring_3(X1)|~v13_algstr_0(X1)|~v33_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)), inference(split_conjunct,[status(thm)],[c_0_18])).
fof(c_0_37, plain, ![X33]:(((v7_ordinal1(esk2_1(X33))|(v2_struct_0(X33)|v6_struct_0(X33)|~v8_struct_0(X33)|~v13_algstr_0(X33)|~v33_algstr_0(X33)|~v2_rlvect_1(X33)|~v3_rlvect_1(X33)|~v4_rlvect_1(X33)|~v4_vectsp_1(X33)|~v5_vectsp_1(X33)|~v3_group_1(X33)|~v5_group_1(X33)|~l6_algstr_0(X33)))&(v1_int_2(esk2_1(X33))|(v2_struct_0(X33)|v6_struct_0(X33)|~v8_struct_0(X33)|~v13_algstr_0(X33)|~v33_algstr_0(X33)|~v2_rlvect_1(X33)|~v3_rlvect_1(X33)|~v4_rlvect_1(X33)|~v4_vectsp_1(X33)|~v5_vectsp_1(X33)|~v3_group_1(X33)|~v5_group_1(X33)|~l6_algstr_0(X33))))&((((v7_ordinal1(esk3_1(X33))|(v2_struct_0(X33)|v6_struct_0(X33)|~v8_struct_0(X33)|~v13_algstr_0(X33)|~v33_algstr_0(X33)|~v2_rlvect_1(X33)|~v3_rlvect_1(X33)|~v4_rlvect_1(X33)|~v4_vectsp_1(X33)|~v5_vectsp_1(X33)|~v3_group_1(X33)|~v5_group_1(X33)|~l6_algstr_0(X33)))&(~v8_ordinal1(esk3_1(X33))|(v2_struct_0(X33)|v6_struct_0(X33)|~v8_struct_0(X33)|~v13_algstr_0(X33)|~v33_algstr_0(X33)|~v2_rlvect_1(X33)|~v3_rlvect_1(X33)|~v4_rlvect_1(X33)|~v4_vectsp_1(X33)|~v5_vectsp_1(X33)|~v3_group_1(X33)|~v5_group_1(X33)|~l6_algstr_0(X33))))&(k3_ring_3(X33)=esk2_1(X33)|(v2_struct_0(X33)|v6_struct_0(X33)|~v8_struct_0(X33)|~v13_algstr_0(X33)|~v33_algstr_0(X33)|~v2_rlvect_1(X33)|~v3_rlvect_1(X33)|~v4_rlvect_1(X33)|~v4_vectsp_1(X33)|~v5_vectsp_1(X33)|~v3_group_1(X33)|~v5_group_1(X33)|~l6_algstr_0(X33))))&(k7_struct_0(X33)=k1_newton(esk2_1(X33),esk3_1(X33))|(v2_struct_0(X33)|v6_struct_0(X33)|~v8_struct_0(X33)|~v13_algstr_0(X33)|~v33_algstr_0(X33)|~v2_rlvect_1(X33)|~v3_rlvect_1(X33)|~v4_rlvect_1(X33)|~v4_vectsp_1(X33)|~v5_vectsp_1(X33)|~v3_group_1(X33)|~v5_group_1(X33)|~l6_algstr_0(X33))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])).
fof(c_0_38, plain, ![X1]:(((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v8_struct_0(X1))&v13_algstr_0(X1))&v33_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))&v5_group_1(X1))&l6_algstr_0(X1))=>(v7_ordinal1(k3_ring_3(X1))&v1_int_2(k3_ring_3(X1)))), inference(fof_simplification,[status(thm)],[fc1_field_15])).
fof(c_0_39, plain, ![X1]:(((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_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))=>v7_ordinal1(k3_ring_3(X1))), inference(fof_simplification,[status(thm)],[dt_k3_ring_3])).
fof(c_0_40, plain, ![X36]:(v2_struct_0(X36)|v6_struct_0(X36)|~v8_struct_0(X36)|~v13_algstr_0(X36)|~v33_algstr_0(X36)|~v3_group_1(X36)|~v5_group_1(X36)|~v4_vectsp_1(X36)|~v5_vectsp_1(X36)|~v2_rlvect_1(X36)|~v3_rlvect_1(X36)|~v4_rlvect_1(X36)|~l6_algstr_0(X36)|k1_ec_pf_1(X36)=k7_struct_0(X36)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])).
cnf(c_0_41, plain, (l6_algstr_0(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_42, negated_conjecture, (m1_ec_pf_1(k8_ring_3(esk1_0),esk1_0)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32])]), c_0_33]), c_0_34])).
cnf(c_0_43, plain, (v5_group_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_44, plain, (v3_group_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_45, plain, (v5_vectsp_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_46, plain, (v4_vectsp_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_47, plain, (v4_rlvect_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_48, plain, (v3_rlvect_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_49, plain, (v2_rlvect_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_50, plain, (v33_algstr_0(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_51, plain, (v13_algstr_0(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_52, plain, (v2_struct_0(X1)|v6_struct_0(X1)|~v6_struct_0(k7_ring_3(X1))|~v13_algstr_0(X1)|~v33_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)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_53, negated_conjecture, (k7_ring_3(esk1_0)=k8_ring_3(esk1_0)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32])]), c_0_33]), c_0_34])).
cnf(c_0_54, plain, (v2_struct_0(X2)|v6_struct_0(X2)|~v2_struct_0(X1)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
fof(c_0_55, plain, ![X1]:(((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v8_struct_0(X1))&v13_algstr_0(X1))&v33_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))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:(m1_ec_pf_1(X2,X1)=>v8_struct_0(X2))), inference(fof_simplification,[status(thm)],[cc4_field_16])).
fof(c_0_56, plain, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:((v7_ordinal1(X2)&~v8_ordinal1(X2))=>![X3]:((((((((((((~v2_struct_0(X3)&~v6_struct_0(X3))&v13_algstr_0(X3))&v33_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v4_vectsp_1(X3))&v5_vectsp_1(X3))&v3_group_1(X3))&v5_group_1(X3))&l6_algstr_0(X3))=>(k7_struct_0(X3)=k1_newton(X1,X2)=>k7_struct_0(k8_ring_3(X3))=X1)))), inference(fof_simplification,[status(thm)],[l60_field_16])).
cnf(c_0_57, plain, (k3_ring_3(X1)=esk2_1(X1)|v2_struct_0(X1)|v6_struct_0(X1)|~v8_struct_0(X1)|~v13_algstr_0(X1)|~v33_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)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_58, negated_conjecture, (v8_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
fof(c_0_59, plain, ![X29]:((v7_ordinal1(k3_ring_3(X29))|(v2_struct_0(X29)|v6_struct_0(X29)|~v8_struct_0(X29)|~v13_algstr_0(X29)|~v33_algstr_0(X29)|~v2_rlvect_1(X29)|~v3_rlvect_1(X29)|~v4_rlvect_1(X29)|~v4_vectsp_1(X29)|~v5_vectsp_1(X29)|~v3_group_1(X29)|~v5_group_1(X29)|~l6_algstr_0(X29)))&(v1_int_2(k3_ring_3(X29))|(v2_struct_0(X29)|v6_struct_0(X29)|~v8_struct_0(X29)|~v13_algstr_0(X29)|~v33_algstr_0(X29)|~v2_rlvect_1(X29)|~v3_rlvect_1(X29)|~v4_rlvect_1(X29)|~v4_vectsp_1(X29)|~v5_vectsp_1(X29)|~v3_group_1(X29)|~v5_group_1(X29)|~l6_algstr_0(X29)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])).
fof(c_0_60, plain, ![X24]:(v2_struct_0(X24)|~v13_algstr_0(X24)|~v3_group_1(X24)|~v2_rlvect_1(X24)|~v3_rlvect_1(X24)|~v4_rlvect_1(X24)|~v4_vectsp_1(X24)|~v5_vectsp_1(X24)|~l6_algstr_0(X24)|v7_ordinal1(k3_ring_3(X24))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])).
cnf(c_0_61, plain, (v2_struct_0(X1)|v6_struct_0(X1)|k1_ec_pf_1(X1)=k7_struct_0(X1)|~v8_struct_0(X1)|~v13_algstr_0(X1)|~v33_algstr_0(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_62, negated_conjecture, (l6_algstr_0(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32])]), c_0_33]), c_0_34])).
cnf(c_0_63, negated_conjecture, (v5_group_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_42]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32])]), c_0_33]), c_0_34])).
cnf(c_0_64, negated_conjecture, (v3_group_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_42]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32])]), c_0_33]), c_0_34])).
cnf(c_0_65, negated_conjecture, (v5_vectsp_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_42]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32])]), c_0_33]), c_0_34])).
cnf(c_0_66, negated_conjecture, (v4_vectsp_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_42]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32])]), c_0_33]), c_0_34])).
cnf(c_0_67, negated_conjecture, (v4_rlvect_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_42]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32])]), c_0_33]), c_0_34])).
cnf(c_0_68, negated_conjecture, (v3_rlvect_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_42]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32])]), c_0_33]), c_0_34])).
cnf(c_0_69, negated_conjecture, (v2_rlvect_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_42]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32])]), c_0_33]), c_0_34])).
cnf(c_0_70, negated_conjecture, (v33_algstr_0(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_42]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32])]), c_0_33]), c_0_34])).
cnf(c_0_71, negated_conjecture, (v13_algstr_0(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_42]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32])]), c_0_33]), c_0_34])).
cnf(c_0_72, negated_conjecture, (~v6_struct_0(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32])]), c_0_33]), c_0_34])).
cnf(c_0_73, negated_conjecture, (~v2_struct_0(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_42]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32])]), c_0_33]), c_0_34])).
fof(c_0_74, plain, ![X22, X23]:(v2_struct_0(X22)|v6_struct_0(X22)|~v8_struct_0(X22)|~v13_algstr_0(X22)|~v33_algstr_0(X22)|~v2_rlvect_1(X22)|~v3_rlvect_1(X22)|~v4_rlvect_1(X22)|~v4_vectsp_1(X22)|~v5_vectsp_1(X22)|~v3_group_1(X22)|~v5_group_1(X22)|~l6_algstr_0(X22)|(~m1_ec_pf_1(X23,X22)|v8_struct_0(X23))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])).
fof(c_0_75, plain, ![X30, X31, X32]:(~v7_ordinal1(X30)|~v1_int_2(X30)|(~v7_ordinal1(X31)|v8_ordinal1(X31)|(v2_struct_0(X32)|v6_struct_0(X32)|~v13_algstr_0(X32)|~v33_algstr_0(X32)|~v2_rlvect_1(X32)|~v3_rlvect_1(X32)|~v4_rlvect_1(X32)|~v4_vectsp_1(X32)|~v5_vectsp_1(X32)|~v3_group_1(X32)|~v5_group_1(X32)|~l6_algstr_0(X32)|(k7_struct_0(X32)!=k1_newton(X30,X31)|k7_struct_0(k8_ring_3(X32))=X30)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])).
cnf(c_0_76, plain, (k7_struct_0(X1)=k1_newton(esk2_1(X1),esk3_1(X1))|v2_struct_0(X1)|v6_struct_0(X1)|~v8_struct_0(X1)|~v13_algstr_0(X1)|~v33_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)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_77, negated_conjecture, (esk2_1(esk1_0)=k3_ring_3(esk1_0)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_58])]), c_0_33]), c_0_34])).
cnf(c_0_78, plain, (v1_int_2(k3_ring_3(X1))|v2_struct_0(X1)|v6_struct_0(X1)|~v8_struct_0(X1)|~v13_algstr_0(X1)|~v33_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)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_59])).
cnf(c_0_79, plain, (v7_ordinal1(esk3_1(X1))|v2_struct_0(X1)|v6_struct_0(X1)|~v8_struct_0(X1)|~v13_algstr_0(X1)|~v33_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)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_80, plain, (v2_struct_0(X1)|v7_ordinal1(k3_ring_3(X1))|~v13_algstr_0(X1)|~v3_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)), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_81, negated_conjecture, (k1_ec_pf_1(k8_ring_3(esk1_0))!=k3_ring_3(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_82, negated_conjecture, (k1_ec_pf_1(k8_ring_3(esk1_0))=k7_struct_0(k8_ring_3(esk1_0))|~v8_struct_0(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70]), c_0_71])]), c_0_72]), c_0_73])).
cnf(c_0_83, plain, (v2_struct_0(X1)|v6_struct_0(X1)|v8_struct_0(X2)|~v8_struct_0(X1)|~v13_algstr_0(X1)|~v33_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)|~v5_group_1(X1)|~l6_algstr_0(X1)|~m1_ec_pf_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_84, plain, (v8_ordinal1(X2)|v2_struct_0(X3)|v6_struct_0(X3)|k7_struct_0(k8_ring_3(X3))=X1|~v7_ordinal1(X1)|~v1_int_2(X1)|~v7_ordinal1(X2)|~v13_algstr_0(X3)|~v33_algstr_0(X3)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~v4_vectsp_1(X3)|~v5_vectsp_1(X3)|~v3_group_1(X3)|~v5_group_1(X3)|~l6_algstr_0(X3)|k7_struct_0(X3)!=k1_newton(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_75])).
cnf(c_0_85, negated_conjecture, (k1_newton(k3_ring_3(esk1_0),esk3_1(esk1_0))=k7_struct_0(esk1_0)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_23]), c_0_77]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_58])]), c_0_33]), c_0_34])).
cnf(c_0_86, negated_conjecture, (v1_int_2(k3_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_58])]), c_0_33]), c_0_34])).
cnf(c_0_87, negated_conjecture, (v7_ordinal1(esk3_1(esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_58])]), c_0_33]), c_0_34])).
cnf(c_0_88, negated_conjecture, (v7_ordinal1(k3_ring_3(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_80, c_0_23]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_32])]), c_0_34])).
cnf(c_0_89, negated_conjecture, (k7_struct_0(k8_ring_3(esk1_0))!=k3_ring_3(esk1_0)|~v8_struct_0(k8_ring_3(esk1_0))), inference(spm,[status(thm)],[c_0_81, c_0_82])).
cnf(c_0_90, negated_conjecture, (v8_struct_0(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_42]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_58])]), c_0_33]), c_0_34])).
cnf(c_0_91, negated_conjecture, (k7_struct_0(k8_ring_3(X1))=k3_ring_3(esk1_0)|v8_ordinal1(esk3_1(esk1_0))|v6_struct_0(X1)|v2_struct_0(X1)|k7_struct_0(X1)!=k7_struct_0(esk1_0)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)), 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_85]), c_0_86]), c_0_87]), c_0_88])])).
cnf(c_0_92, negated_conjecture, (k7_struct_0(k8_ring_3(esk1_0))!=k3_ring_3(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89, c_0_90])])).
cnf(c_0_93, plain, (v2_struct_0(X1)|v6_struct_0(X1)|~v8_ordinal1(esk3_1(X1))|~v8_struct_0(X1)|~v13_algstr_0(X1)|~v33_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)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_94, negated_conjecture, (v8_ordinal1(esk3_1(esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_91]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32])]), c_0_92]), c_0_33]), c_0_34])).
cnf(c_0_95, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_58])]), c_0_33]), c_0_34]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 96
# Proof object clause steps            : 63
# Proof object formula steps           : 33
# Proof object conjectures             : 43
# Proof object clause conjectures      : 40
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 37
# Proof object initial formulas used   : 11
# Proof object generating inferences   : 25
# Proof object simplifying inferences  : 302
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 11
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 43
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 43
# Processed clauses                    : 216
# ...of these trivial                  : 3
# ...subsumed                          : 7
# ...remaining for further processing  : 206
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 11
# Generated clauses                    : 149
# ...of the previous two non-trivial   : 146
# Contextual simplify-reflections      : 0
# Paramodulations                      : 148
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 1
# 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  : 153
#    Positive orientable unit clauses  : 112
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 13
#    Non-unit-clauses                  : 28
# Current number of unprocessed clauses: 15
# ...number of literals in the above   : 65
# Current number of archived formulas  : 0
# Current number of archived clauses   : 53
# Clause-clause subsumption calls (NU) : 1351
# Rec. Clause-clause subsumption calls : 1
# Non-unit clause-clause subsumptions  : 1
# Unit Clause-clause subsumption calls : 143
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 117
# BW rewrite match successes           : 8
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 19181

# -------------------------------------------------
# User time                : 0.028 s
# System time              : 0.000 s
# Total time               : 0.028 s
# Maximum resident set size: 3532 pages
