# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S06AN
# and selection function PSelectComplexAHPExceptRRHorn.
#
# Preprocessing time       : 0.023 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d8_field_16, axiom, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:((v7_ordinal1(X2)&v2_field_16(X2,X1))=>![X3]:(((((((((((((~(v2_struct_0(X3))&~(v6_struct_0(X3)))&v8_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))=>(m1_field_16(X3,X1,X2)<=>(k7_struct_0(X3)=X2&m1_ec_pf_1(k9_int_3(X1),X3)))))), file('field_16/field_16__t70_field_16', d8_field_16)).
fof(dt_m1_field_16, axiom, ![X1, X2]:((((v7_ordinal1(X1)&v1_int_2(X1))&v7_ordinal1(X2))&v2_field_16(X2,X1))=>![X3]:(m1_field_16(X3,X1,X2)=>((((((((((((~(v2_struct_0(X3))&~(v6_struct_0(X3)))&v8_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)))), file('field_16/field_16__t70_field_16', dt_m1_field_16)).
fof(t70_field_16, conjecture, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:((v7_ordinal1(X2)&~(v8_ordinal1(X2)))=>![X3]:(m1_field_16(X3,X1,k1_newton(X1,X2))=>k8_ring_3(X3)=k9_int_3(X1)))), file('field_16/field_16__t70_field_16', t70_field_16)).
fof(fc13_field_16, axiom, ![X1, X2]:(((v7_ordinal1(X1)&v7_ordinal1(X2))&~(v8_ordinal1(X2)))=>v2_field_16(k1_newton(X1,X2),X1)), file('field_16/field_16__t70_field_16', fc13_field_16)).
fof(t92_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))=>![X2]:((((((((((((~(v2_struct_0(X2))&~(v6_struct_0(X2)))&v13_algstr_0(X2))&v33_algstr_0(X2))&v3_group_1(X2))&v5_group_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&l6_algstr_0(X2))=>(X2=k8_ring_3(X1)<=>((v36_algstr_0(X2)&m1_ec_pf_1(X2,X1))&![X3]:((v36_algstr_0(X3)&m1_ec_pf_1(X3,X2))=>X3=X2))))), file('field_16/field_16__t70_field_16', t92_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__t70_field_16', dt_m1_ec_pf_1)).
fof(fc4_newton, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>v7_ordinal1(k1_newton(X1,X2))), file('field_16/field_16__t70_field_16', fc4_newton)).
fof(t109_ring_3, axiom, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:((v36_algstr_0(X2)&m1_ec_pf_1(X2,k9_int_3(X1)))=>X2=k9_int_3(X1))), file('field_16/field_16__t70_field_16', t109_ring_3)).
fof(fc6_int_3, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>(~(v2_struct_0(k9_int_3(X1)))&v36_algstr_0(k9_int_3(X1)))), file('field_16/field_16__t70_field_16', fc6_int_3)).
fof(cc3_int_3, axiom, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>((v7_ordinal1(X1)&~(v8_ordinal1(X1)))&v1_int_2(X1))), file('field_16/field_16__t70_field_16', cc3_int_3)).
fof(c_0_10, plain, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:((v7_ordinal1(X2)&v2_field_16(X2,X1))=>![X3]:(((((((((((((~v2_struct_0(X3)&~v6_struct_0(X3))&v8_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))=>(m1_field_16(X3,X1,X2)<=>(k7_struct_0(X3)=X2&m1_ec_pf_1(k9_int_3(X1),X3)))))), inference(fof_simplification,[status(thm)],[d8_field_16])).
fof(c_0_11, plain, ![X1, X2]:((((v7_ordinal1(X1)&v1_int_2(X1))&v7_ordinal1(X2))&v2_field_16(X2,X1))=>![X3]:(m1_field_16(X3,X1,X2)=>((((((((((((~v2_struct_0(X3)&~v6_struct_0(X3))&v8_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)))), inference(fof_simplification,[status(thm)],[dt_m1_field_16])).
fof(c_0_12, negated_conjecture, ~(![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>![X2]:((v7_ordinal1(X2)&~v8_ordinal1(X2))=>![X3]:(m1_field_16(X3,X1,k1_newton(X1,X2))=>k8_ring_3(X3)=k9_int_3(X1))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t70_field_16])])).
fof(c_0_13, plain, ![X1, X2]:(((v7_ordinal1(X1)&v7_ordinal1(X2))&~v8_ordinal1(X2))=>v2_field_16(k1_newton(X1,X2),X1)), inference(fof_simplification,[status(thm)],[fc13_field_16])).
fof(c_0_14, plain, ![X30, X31, X32]:(((k7_struct_0(X32)=X31|~m1_field_16(X32,X30,X31)|(v2_struct_0(X32)|v6_struct_0(X32)|~v8_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))|(~v7_ordinal1(X31)|~v2_field_16(X31,X30))|(~v7_ordinal1(X30)|~v1_int_2(X30)))&(m1_ec_pf_1(k9_int_3(X30),X32)|~m1_field_16(X32,X30,X31)|(v2_struct_0(X32)|v6_struct_0(X32)|~v8_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))|(~v7_ordinal1(X31)|~v2_field_16(X31,X30))|(~v7_ordinal1(X30)|~v1_int_2(X30))))&(k7_struct_0(X32)!=X31|~m1_ec_pf_1(k9_int_3(X30),X32)|m1_field_16(X32,X30,X31)|(v2_struct_0(X32)|v6_struct_0(X32)|~v8_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))|(~v7_ordinal1(X31)|~v2_field_16(X31,X30))|(~v7_ordinal1(X30)|~v1_int_2(X30)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])).
fof(c_0_15, plain, ![X35, X36, X37]:(((((((((((((~v2_struct_0(X37)|~m1_field_16(X37,X35,X36)|(~v7_ordinal1(X35)|~v1_int_2(X35)|~v7_ordinal1(X36)|~v2_field_16(X36,X35)))&(~v6_struct_0(X37)|~m1_field_16(X37,X35,X36)|(~v7_ordinal1(X35)|~v1_int_2(X35)|~v7_ordinal1(X36)|~v2_field_16(X36,X35))))&(v8_struct_0(X37)|~m1_field_16(X37,X35,X36)|(~v7_ordinal1(X35)|~v1_int_2(X35)|~v7_ordinal1(X36)|~v2_field_16(X36,X35))))&(v13_algstr_0(X37)|~m1_field_16(X37,X35,X36)|(~v7_ordinal1(X35)|~v1_int_2(X35)|~v7_ordinal1(X36)|~v2_field_16(X36,X35))))&(v33_algstr_0(X37)|~m1_field_16(X37,X35,X36)|(~v7_ordinal1(X35)|~v1_int_2(X35)|~v7_ordinal1(X36)|~v2_field_16(X36,X35))))&(v2_rlvect_1(X37)|~m1_field_16(X37,X35,X36)|(~v7_ordinal1(X35)|~v1_int_2(X35)|~v7_ordinal1(X36)|~v2_field_16(X36,X35))))&(v3_rlvect_1(X37)|~m1_field_16(X37,X35,X36)|(~v7_ordinal1(X35)|~v1_int_2(X35)|~v7_ordinal1(X36)|~v2_field_16(X36,X35))))&(v4_rlvect_1(X37)|~m1_field_16(X37,X35,X36)|(~v7_ordinal1(X35)|~v1_int_2(X35)|~v7_ordinal1(X36)|~v2_field_16(X36,X35))))&(v4_vectsp_1(X37)|~m1_field_16(X37,X35,X36)|(~v7_ordinal1(X35)|~v1_int_2(X35)|~v7_ordinal1(X36)|~v2_field_16(X36,X35))))&(v5_vectsp_1(X37)|~m1_field_16(X37,X35,X36)|(~v7_ordinal1(X35)|~v1_int_2(X35)|~v7_ordinal1(X36)|~v2_field_16(X36,X35))))&(v3_group_1(X37)|~m1_field_16(X37,X35,X36)|(~v7_ordinal1(X35)|~v1_int_2(X35)|~v7_ordinal1(X36)|~v2_field_16(X36,X35))))&(v5_group_1(X37)|~m1_field_16(X37,X35,X36)|(~v7_ordinal1(X35)|~v1_int_2(X35)|~v7_ordinal1(X36)|~v2_field_16(X36,X35))))&(l6_algstr_0(X37)|~m1_field_16(X37,X35,X36)|(~v7_ordinal1(X35)|~v1_int_2(X35)|~v7_ordinal1(X36)|~v2_field_16(X36,X35)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])).
fof(c_0_16, negated_conjecture, ((v7_ordinal1(esk1_0)&v1_int_2(esk1_0))&((v7_ordinal1(esk2_0)&~v8_ordinal1(esk2_0))&(m1_field_16(esk3_0,esk1_0,k1_newton(esk1_0,esk2_0))&k8_ring_3(esk3_0)!=k9_int_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, ![X38, X39]:(~v7_ordinal1(X38)|~v7_ordinal1(X39)|v8_ordinal1(X39)|v2_field_16(k1_newton(X38,X39),X38)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])).
fof(c_0_18, 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))=>![X2]:((((((((((((~v2_struct_0(X2)&~v6_struct_0(X2))&v13_algstr_0(X2))&v33_algstr_0(X2))&v3_group_1(X2))&v5_group_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&l6_algstr_0(X2))=>(X2=k8_ring_3(X1)<=>((v36_algstr_0(X2)&m1_ec_pf_1(X2,X1))&![X3]:((v36_algstr_0(X3)&m1_ec_pf_1(X3,X2))=>X3=X2))))), inference(fof_simplification,[status(thm)],[t92_ring_3])).
fof(c_0_19, 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])).
cnf(c_0_20, plain, (m1_ec_pf_1(k9_int_3(X1),X2)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_field_16(X2,X1,X3)|~v8_struct_0(X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~l6_algstr_0(X2)|~v7_ordinal1(X3)|~v2_field_16(X3,X1)|~v7_ordinal1(X1)|~v1_int_2(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_21, plain, (v8_struct_0(X1)|~m1_field_16(X1,X2,X3)|~v7_ordinal1(X2)|~v1_int_2(X2)|~v7_ordinal1(X3)|~v2_field_16(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_22, plain, (v13_algstr_0(X1)|~m1_field_16(X1,X2,X3)|~v7_ordinal1(X2)|~v1_int_2(X2)|~v7_ordinal1(X3)|~v2_field_16(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_23, plain, (v33_algstr_0(X1)|~m1_field_16(X1,X2,X3)|~v7_ordinal1(X2)|~v1_int_2(X2)|~v7_ordinal1(X3)|~v2_field_16(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_24, plain, (v2_rlvect_1(X1)|~m1_field_16(X1,X2,X3)|~v7_ordinal1(X2)|~v1_int_2(X2)|~v7_ordinal1(X3)|~v2_field_16(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_25, plain, (v3_rlvect_1(X1)|~m1_field_16(X1,X2,X3)|~v7_ordinal1(X2)|~v1_int_2(X2)|~v7_ordinal1(X3)|~v2_field_16(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_26, plain, (v4_rlvect_1(X1)|~m1_field_16(X1,X2,X3)|~v7_ordinal1(X2)|~v1_int_2(X2)|~v7_ordinal1(X3)|~v2_field_16(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_27, plain, (v4_vectsp_1(X1)|~m1_field_16(X1,X2,X3)|~v7_ordinal1(X2)|~v1_int_2(X2)|~v7_ordinal1(X3)|~v2_field_16(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_28, plain, (v5_vectsp_1(X1)|~m1_field_16(X1,X2,X3)|~v7_ordinal1(X2)|~v1_int_2(X2)|~v7_ordinal1(X3)|~v2_field_16(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_29, plain, (v3_group_1(X1)|~m1_field_16(X1,X2,X3)|~v7_ordinal1(X2)|~v1_int_2(X2)|~v7_ordinal1(X3)|~v2_field_16(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_30, plain, (v5_group_1(X1)|~m1_field_16(X1,X2,X3)|~v7_ordinal1(X2)|~v1_int_2(X2)|~v7_ordinal1(X3)|~v2_field_16(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_31, plain, (l6_algstr_0(X1)|~m1_field_16(X1,X2,X3)|~v7_ordinal1(X2)|~v1_int_2(X2)|~v7_ordinal1(X3)|~v2_field_16(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_32, plain, (~v2_struct_0(X1)|~m1_field_16(X1,X2,X3)|~v7_ordinal1(X2)|~v1_int_2(X2)|~v7_ordinal1(X3)|~v2_field_16(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_33, plain, (~v6_struct_0(X1)|~m1_field_16(X1,X2,X3)|~v7_ordinal1(X2)|~v1_int_2(X2)|~v7_ordinal1(X3)|~v2_field_16(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_34, negated_conjecture, (m1_field_16(esk3_0,esk1_0,k1_newton(esk1_0,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_35, negated_conjecture, (v1_int_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_36, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_37, plain, (v8_ordinal1(X2)|v2_field_16(k1_newton(X1,X2),X1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_38, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_39, negated_conjecture, (~v8_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
fof(c_0_40, plain, ![X45, X46, X47]:((((v36_algstr_0(X46)|X46!=k8_ring_3(X45)|(v2_struct_0(X46)|v6_struct_0(X46)|~v13_algstr_0(X46)|~v33_algstr_0(X46)|~v3_group_1(X46)|~v5_group_1(X46)|~v2_rlvect_1(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v4_vectsp_1(X46)|~v5_vectsp_1(X46)|~l6_algstr_0(X46))|(v2_struct_0(X45)|v6_struct_0(X45)|~v13_algstr_0(X45)|~v33_algstr_0(X45)|~v3_group_1(X45)|~v5_group_1(X45)|~v2_rlvect_1(X45)|~v3_rlvect_1(X45)|~v4_rlvect_1(X45)|~v4_vectsp_1(X45)|~v5_vectsp_1(X45)|~l6_algstr_0(X45)))&(m1_ec_pf_1(X46,X45)|X46!=k8_ring_3(X45)|(v2_struct_0(X46)|v6_struct_0(X46)|~v13_algstr_0(X46)|~v33_algstr_0(X46)|~v3_group_1(X46)|~v5_group_1(X46)|~v2_rlvect_1(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v4_vectsp_1(X46)|~v5_vectsp_1(X46)|~l6_algstr_0(X46))|(v2_struct_0(X45)|v6_struct_0(X45)|~v13_algstr_0(X45)|~v33_algstr_0(X45)|~v3_group_1(X45)|~v5_group_1(X45)|~v2_rlvect_1(X45)|~v3_rlvect_1(X45)|~v4_rlvect_1(X45)|~v4_vectsp_1(X45)|~v5_vectsp_1(X45)|~l6_algstr_0(X45))))&(~v36_algstr_0(X47)|~m1_ec_pf_1(X47,X46)|X47=X46|X46!=k8_ring_3(X45)|(v2_struct_0(X46)|v6_struct_0(X46)|~v13_algstr_0(X46)|~v33_algstr_0(X46)|~v3_group_1(X46)|~v5_group_1(X46)|~v2_rlvect_1(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v4_vectsp_1(X46)|~v5_vectsp_1(X46)|~l6_algstr_0(X46))|(v2_struct_0(X45)|v6_struct_0(X45)|~v13_algstr_0(X45)|~v33_algstr_0(X45)|~v3_group_1(X45)|~v5_group_1(X45)|~v2_rlvect_1(X45)|~v3_rlvect_1(X45)|~v4_rlvect_1(X45)|~v4_vectsp_1(X45)|~v5_vectsp_1(X45)|~l6_algstr_0(X45))))&(((v36_algstr_0(esk4_2(X45,X46))|(~v36_algstr_0(X46)|~m1_ec_pf_1(X46,X45))|X46=k8_ring_3(X45)|(v2_struct_0(X46)|v6_struct_0(X46)|~v13_algstr_0(X46)|~v33_algstr_0(X46)|~v3_group_1(X46)|~v5_group_1(X46)|~v2_rlvect_1(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v4_vectsp_1(X46)|~v5_vectsp_1(X46)|~l6_algstr_0(X46))|(v2_struct_0(X45)|v6_struct_0(X45)|~v13_algstr_0(X45)|~v33_algstr_0(X45)|~v3_group_1(X45)|~v5_group_1(X45)|~v2_rlvect_1(X45)|~v3_rlvect_1(X45)|~v4_rlvect_1(X45)|~v4_vectsp_1(X45)|~v5_vectsp_1(X45)|~l6_algstr_0(X45)))&(m1_ec_pf_1(esk4_2(X45,X46),X46)|(~v36_algstr_0(X46)|~m1_ec_pf_1(X46,X45))|X46=k8_ring_3(X45)|(v2_struct_0(X46)|v6_struct_0(X46)|~v13_algstr_0(X46)|~v33_algstr_0(X46)|~v3_group_1(X46)|~v5_group_1(X46)|~v2_rlvect_1(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v4_vectsp_1(X46)|~v5_vectsp_1(X46)|~l6_algstr_0(X46))|(v2_struct_0(X45)|v6_struct_0(X45)|~v13_algstr_0(X45)|~v33_algstr_0(X45)|~v3_group_1(X45)|~v5_group_1(X45)|~v2_rlvect_1(X45)|~v3_rlvect_1(X45)|~v4_rlvect_1(X45)|~v4_vectsp_1(X45)|~v5_vectsp_1(X45)|~l6_algstr_0(X45))))&(esk4_2(X45,X46)!=X46|(~v36_algstr_0(X46)|~m1_ec_pf_1(X46,X45))|X46=k8_ring_3(X45)|(v2_struct_0(X46)|v6_struct_0(X46)|~v13_algstr_0(X46)|~v33_algstr_0(X46)|~v3_group_1(X46)|~v5_group_1(X46)|~v2_rlvect_1(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v4_vectsp_1(X46)|~v5_vectsp_1(X46)|~l6_algstr_0(X46))|(v2_struct_0(X45)|v6_struct_0(X45)|~v13_algstr_0(X45)|~v33_algstr_0(X45)|~v3_group_1(X45)|~v5_group_1(X45)|~v2_rlvect_1(X45)|~v3_rlvect_1(X45)|~v4_rlvect_1(X45)|~v4_vectsp_1(X45)|~v5_vectsp_1(X45)|~l6_algstr_0(X45))))), 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_18])])])])])).
fof(c_0_41, plain, ![X33, X34]:((((((((((((~v2_struct_0(X34)|~m1_ec_pf_1(X34,X33)|(v2_struct_0(X33)|v6_struct_0(X33)|~v13_algstr_0(X33)|~v33_algstr_0(X33)|~v3_group_1(X33)|~v5_group_1(X33)|~v4_vectsp_1(X33)|~v5_vectsp_1(X33)|~v2_rlvect_1(X33)|~v3_rlvect_1(X33)|~v4_rlvect_1(X33)|~l6_algstr_0(X33)))&(~v6_struct_0(X34)|~m1_ec_pf_1(X34,X33)|(v2_struct_0(X33)|v6_struct_0(X33)|~v13_algstr_0(X33)|~v33_algstr_0(X33)|~v3_group_1(X33)|~v5_group_1(X33)|~v4_vectsp_1(X33)|~v5_vectsp_1(X33)|~v2_rlvect_1(X33)|~v3_rlvect_1(X33)|~v4_rlvect_1(X33)|~l6_algstr_0(X33))))&(v13_algstr_0(X34)|~m1_ec_pf_1(X34,X33)|(v2_struct_0(X33)|v6_struct_0(X33)|~v13_algstr_0(X33)|~v33_algstr_0(X33)|~v3_group_1(X33)|~v5_group_1(X33)|~v4_vectsp_1(X33)|~v5_vectsp_1(X33)|~v2_rlvect_1(X33)|~v3_rlvect_1(X33)|~v4_rlvect_1(X33)|~l6_algstr_0(X33))))&(v33_algstr_0(X34)|~m1_ec_pf_1(X34,X33)|(v2_struct_0(X33)|v6_struct_0(X33)|~v13_algstr_0(X33)|~v33_algstr_0(X33)|~v3_group_1(X33)|~v5_group_1(X33)|~v4_vectsp_1(X33)|~v5_vectsp_1(X33)|~v2_rlvect_1(X33)|~v3_rlvect_1(X33)|~v4_rlvect_1(X33)|~l6_algstr_0(X33))))&(v3_group_1(X34)|~m1_ec_pf_1(X34,X33)|(v2_struct_0(X33)|v6_struct_0(X33)|~v13_algstr_0(X33)|~v33_algstr_0(X33)|~v3_group_1(X33)|~v5_group_1(X33)|~v4_vectsp_1(X33)|~v5_vectsp_1(X33)|~v2_rlvect_1(X33)|~v3_rlvect_1(X33)|~v4_rlvect_1(X33)|~l6_algstr_0(X33))))&(v5_group_1(X34)|~m1_ec_pf_1(X34,X33)|(v2_struct_0(X33)|v6_struct_0(X33)|~v13_algstr_0(X33)|~v33_algstr_0(X33)|~v3_group_1(X33)|~v5_group_1(X33)|~v4_vectsp_1(X33)|~v5_vectsp_1(X33)|~v2_rlvect_1(X33)|~v3_rlvect_1(X33)|~v4_rlvect_1(X33)|~l6_algstr_0(X33))))&(v4_vectsp_1(X34)|~m1_ec_pf_1(X34,X33)|(v2_struct_0(X33)|v6_struct_0(X33)|~v13_algstr_0(X33)|~v33_algstr_0(X33)|~v3_group_1(X33)|~v5_group_1(X33)|~v4_vectsp_1(X33)|~v5_vectsp_1(X33)|~v2_rlvect_1(X33)|~v3_rlvect_1(X33)|~v4_rlvect_1(X33)|~l6_algstr_0(X33))))&(v5_vectsp_1(X34)|~m1_ec_pf_1(X34,X33)|(v2_struct_0(X33)|v6_struct_0(X33)|~v13_algstr_0(X33)|~v33_algstr_0(X33)|~v3_group_1(X33)|~v5_group_1(X33)|~v4_vectsp_1(X33)|~v5_vectsp_1(X33)|~v2_rlvect_1(X33)|~v3_rlvect_1(X33)|~v4_rlvect_1(X33)|~l6_algstr_0(X33))))&(v2_rlvect_1(X34)|~m1_ec_pf_1(X34,X33)|(v2_struct_0(X33)|v6_struct_0(X33)|~v13_algstr_0(X33)|~v33_algstr_0(X33)|~v3_group_1(X33)|~v5_group_1(X33)|~v4_vectsp_1(X33)|~v5_vectsp_1(X33)|~v2_rlvect_1(X33)|~v3_rlvect_1(X33)|~v4_rlvect_1(X33)|~l6_algstr_0(X33))))&(v3_rlvect_1(X34)|~m1_ec_pf_1(X34,X33)|(v2_struct_0(X33)|v6_struct_0(X33)|~v13_algstr_0(X33)|~v33_algstr_0(X33)|~v3_group_1(X33)|~v5_group_1(X33)|~v4_vectsp_1(X33)|~v5_vectsp_1(X33)|~v2_rlvect_1(X33)|~v3_rlvect_1(X33)|~v4_rlvect_1(X33)|~l6_algstr_0(X33))))&(v4_rlvect_1(X34)|~m1_ec_pf_1(X34,X33)|(v2_struct_0(X33)|v6_struct_0(X33)|~v13_algstr_0(X33)|~v33_algstr_0(X33)|~v3_group_1(X33)|~v5_group_1(X33)|~v4_vectsp_1(X33)|~v5_vectsp_1(X33)|~v2_rlvect_1(X33)|~v3_rlvect_1(X33)|~v4_rlvect_1(X33)|~l6_algstr_0(X33))))&(l6_algstr_0(X34)|~m1_ec_pf_1(X34,X33)|(v2_struct_0(X33)|v6_struct_0(X33)|~v13_algstr_0(X33)|~v33_algstr_0(X33)|~v3_group_1(X33)|~v5_group_1(X33)|~v4_vectsp_1(X33)|~v5_vectsp_1(X33)|~v2_rlvect_1(X33)|~v3_rlvect_1(X33)|~v4_rlvect_1(X33)|~l6_algstr_0(X33)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])).
cnf(c_0_42, plain, (m1_ec_pf_1(k9_int_3(X1),X2)|~v2_field_16(X3,X1)|~m1_field_16(X2,X1,X3)|~v1_int_2(X1)|~v7_ordinal1(X3)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_20, c_0_21]), 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])).
cnf(c_0_43, negated_conjecture, (l6_algstr_0(esk3_0)|~v2_field_16(k1_newton(esk1_0,esk2_0),esk1_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_44, negated_conjecture, (v2_field_16(k1_newton(X1,esk2_0),X1)|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_39])).
fof(c_0_45, plain, ![X40, X41]:(~v7_ordinal1(X40)|~v7_ordinal1(X41)|v7_ordinal1(k1_newton(X40,X41))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc4_newton])])).
cnf(c_0_46, negated_conjecture, (v5_group_1(esk3_0)|~v2_field_16(k1_newton(esk1_0,esk2_0),esk1_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_47, negated_conjecture, (v3_group_1(esk3_0)|~v2_field_16(k1_newton(esk1_0,esk2_0),esk1_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_48, negated_conjecture, (v5_vectsp_1(esk3_0)|~v2_field_16(k1_newton(esk1_0,esk2_0),esk1_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_49, negated_conjecture, (v4_vectsp_1(esk3_0)|~v2_field_16(k1_newton(esk1_0,esk2_0),esk1_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_50, negated_conjecture, (v4_rlvect_1(esk3_0)|~v2_field_16(k1_newton(esk1_0,esk2_0),esk1_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_51, negated_conjecture, (v3_rlvect_1(esk3_0)|~v2_field_16(k1_newton(esk1_0,esk2_0),esk1_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_52, negated_conjecture, (v2_rlvect_1(esk3_0)|~v2_field_16(k1_newton(esk1_0,esk2_0),esk1_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_53, negated_conjecture, (v33_algstr_0(esk3_0)|~v2_field_16(k1_newton(esk1_0,esk2_0),esk1_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_54, negated_conjecture, (v13_algstr_0(esk3_0)|~v2_field_16(k1_newton(esk1_0,esk2_0),esk1_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_55, negated_conjecture, (~v6_struct_0(esk3_0)|~v2_field_16(k1_newton(esk1_0,esk2_0),esk1_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_56, negated_conjecture, (~v2_struct_0(esk3_0)|~v2_field_16(k1_newton(esk1_0,esk2_0),esk1_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_57, plain, (m1_ec_pf_1(esk4_2(X1,X2),X2)|X2=k8_ring_3(X1)|v2_struct_0(X2)|v6_struct_0(X2)|v2_struct_0(X1)|v6_struct_0(X1)|~v36_algstr_0(X2)|~m1_ec_pf_1(X2,X1)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~l6_algstr_0(X2)|~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_40])).
cnf(c_0_58, 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_41])).
cnf(c_0_59, 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_41])).
cnf(c_0_60, 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_41])).
cnf(c_0_61, 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_41])).
cnf(c_0_62, 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_41])).
cnf(c_0_63, 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_41])).
cnf(c_0_64, 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_41])).
cnf(c_0_65, 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_41])).
cnf(c_0_66, 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_41])).
cnf(c_0_67, 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_41])).
cnf(c_0_68, 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_41])).
cnf(c_0_69, plain, (v2_struct_0(X2)|v6_struct_0(X2)|~v6_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_41])).
cnf(c_0_70, negated_conjecture, (m1_ec_pf_1(k9_int_3(esk1_0),esk3_0)|~v2_field_16(k1_newton(esk1_0,esk2_0),esk1_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_34]), c_0_35]), c_0_36])])).
cnf(c_0_71, negated_conjecture, (l6_algstr_0(esk3_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_36])])).
cnf(c_0_72, plain, (v7_ordinal1(k1_newton(X1,X2))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_73, negated_conjecture, (v5_group_1(esk3_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_44]), c_0_36])])).
cnf(c_0_74, negated_conjecture, (v3_group_1(esk3_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_44]), c_0_36])])).
cnf(c_0_75, negated_conjecture, (v5_vectsp_1(esk3_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_44]), c_0_36])])).
cnf(c_0_76, negated_conjecture, (v4_vectsp_1(esk3_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_44]), c_0_36])])).
cnf(c_0_77, negated_conjecture, (v4_rlvect_1(esk3_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_44]), c_0_36])])).
cnf(c_0_78, negated_conjecture, (v3_rlvect_1(esk3_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_44]), c_0_36])])).
cnf(c_0_79, negated_conjecture, (v2_rlvect_1(esk3_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_44]), c_0_36])])).
cnf(c_0_80, negated_conjecture, (v33_algstr_0(esk3_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_44]), c_0_36])])).
cnf(c_0_81, negated_conjecture, (v13_algstr_0(esk3_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_44]), c_0_36])])).
cnf(c_0_82, negated_conjecture, (~v6_struct_0(esk3_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_44]), c_0_36])])).
cnf(c_0_83, negated_conjecture, (~v2_struct_0(esk3_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_44]), c_0_36])])).
cnf(c_0_84, plain, (v36_algstr_0(esk4_2(X1,X2))|X2=k8_ring_3(X1)|v2_struct_0(X2)|v6_struct_0(X2)|v2_struct_0(X1)|v6_struct_0(X1)|~v36_algstr_0(X2)|~m1_ec_pf_1(X2,X1)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~l6_algstr_0(X2)|~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_40])).
fof(c_0_85, plain, ![X43, X44]:(~v7_ordinal1(X43)|~v1_int_2(X43)|(~v36_algstr_0(X44)|~m1_ec_pf_1(X44,k9_int_3(X43))|X44=k9_int_3(X43))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t109_ring_3])])])).
cnf(c_0_86, plain, (X1=k8_ring_3(X2)|m1_ec_pf_1(esk4_2(X2,X1),X1)|v6_struct_0(X2)|v2_struct_0(X2)|~v36_algstr_0(X1)|~m1_ec_pf_1(X1,X2)|~l6_algstr_0(X2)|~v5_group_1(X2)|~v3_group_1(X2)|~v5_vectsp_1(X2)|~v4_vectsp_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v33_algstr_0(X2)|~v13_algstr_0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_57, c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69])).
cnf(c_0_87, negated_conjecture, (m1_ec_pf_1(k9_int_3(esk1_0),esk3_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_44]), c_0_36])])).
cnf(c_0_88, negated_conjecture, (l6_algstr_0(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_38]), c_0_36])])).
cnf(c_0_89, negated_conjecture, (v5_group_1(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_72]), c_0_38]), c_0_36])])).
cnf(c_0_90, negated_conjecture, (v3_group_1(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_72]), c_0_38]), c_0_36])])).
cnf(c_0_91, negated_conjecture, (v5_vectsp_1(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_72]), c_0_38]), c_0_36])])).
cnf(c_0_92, negated_conjecture, (v4_vectsp_1(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_72]), c_0_38]), c_0_36])])).
cnf(c_0_93, negated_conjecture, (v4_rlvect_1(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_72]), c_0_38]), c_0_36])])).
cnf(c_0_94, negated_conjecture, (v3_rlvect_1(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_72]), c_0_38]), c_0_36])])).
cnf(c_0_95, negated_conjecture, (v2_rlvect_1(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_72]), c_0_38]), c_0_36])])).
cnf(c_0_96, negated_conjecture, (v33_algstr_0(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_72]), c_0_38]), c_0_36])])).
cnf(c_0_97, negated_conjecture, (v13_algstr_0(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_72]), c_0_38]), c_0_36])])).
cnf(c_0_98, negated_conjecture, (k8_ring_3(esk3_0)!=k9_int_3(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_99, negated_conjecture, (~v6_struct_0(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_72]), c_0_38]), c_0_36])])).
cnf(c_0_100, negated_conjecture, (~v2_struct_0(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_72]), c_0_38]), c_0_36])])).
cnf(c_0_101, plain, (X1=k8_ring_3(X2)|v36_algstr_0(esk4_2(X2,X1))|v6_struct_0(X2)|v2_struct_0(X2)|~v36_algstr_0(X1)|~m1_ec_pf_1(X1,X2)|~l6_algstr_0(X2)|~v5_group_1(X2)|~v3_group_1(X2)|~v5_vectsp_1(X2)|~v4_vectsp_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v33_algstr_0(X2)|~v13_algstr_0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_84, c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69])).
fof(c_0_102, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>(~v2_struct_0(k9_int_3(X1))&v36_algstr_0(k9_int_3(X1)))), inference(fof_simplification,[status(thm)],[fc6_int_3])).
cnf(c_0_103, plain, (X2=k8_ring_3(X1)|v2_struct_0(X2)|v6_struct_0(X2)|v2_struct_0(X1)|v6_struct_0(X1)|esk4_2(X1,X2)!=X2|~v36_algstr_0(X2)|~m1_ec_pf_1(X2,X1)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~l6_algstr_0(X2)|~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_40])).
cnf(c_0_104, plain, (X2=k9_int_3(X1)|~v7_ordinal1(X1)|~v1_int_2(X1)|~v36_algstr_0(X2)|~m1_ec_pf_1(X2,k9_int_3(X1))), inference(split_conjunct,[status(thm)],[c_0_85])).
cnf(c_0_105, negated_conjecture, (m1_ec_pf_1(esk4_2(esk3_0,k9_int_3(esk1_0)),k9_int_3(esk1_0))|~v36_algstr_0(k9_int_3(esk1_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_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(spm,[status(thm)],[c_0_86, c_0_87]), c_0_88]), c_0_89]), c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_95]), c_0_96]), c_0_97])]), c_0_98]), c_0_99]), c_0_100])).
cnf(c_0_106, negated_conjecture, (v36_algstr_0(esk4_2(esk3_0,k9_int_3(esk1_0)))|~v36_algstr_0(k9_int_3(esk1_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_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(spm,[status(thm)],[c_0_101, c_0_87]), c_0_88]), c_0_89]), c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_95]), c_0_96]), c_0_97])]), c_0_98]), c_0_99]), c_0_100])).
fof(c_0_107, plain, ![X42]:((~v2_struct_0(k9_int_3(X42))|(~v7_ordinal1(X42)|v8_ordinal1(X42)))&(v36_algstr_0(k9_int_3(X42))|(~v7_ordinal1(X42)|v8_ordinal1(X42)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_102])])])).
cnf(c_0_108, plain, (X1=k8_ring_3(X2)|v6_struct_0(X2)|v2_struct_0(X2)|esk4_2(X2,X1)!=X1|~v36_algstr_0(X1)|~m1_ec_pf_1(X1,X2)|~l6_algstr_0(X2)|~v5_group_1(X2)|~v3_group_1(X2)|~v5_vectsp_1(X2)|~v4_vectsp_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v33_algstr_0(X2)|~v13_algstr_0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_103, c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69])).
cnf(c_0_109, negated_conjecture, (esk4_2(esk3_0,k9_int_3(esk1_0))=k9_int_3(esk1_0)|~v36_algstr_0(k9_int_3(esk1_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_105]), c_0_35]), c_0_36])]), c_0_106])).
cnf(c_0_110, plain, (v36_algstr_0(k9_int_3(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_107])).
fof(c_0_111, plain, ![X1]:((v7_ordinal1(X1)&v1_int_2(X1))=>((v7_ordinal1(X1)&~v8_ordinal1(X1))&v1_int_2(X1))), inference(fof_simplification,[status(thm)],[cc3_int_3])).
cnf(c_0_112, negated_conjecture, (~v36_algstr_0(k9_int_3(esk1_0))|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(csr,[status(thm)],[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(spm,[status(thm)],[c_0_108, c_0_109]), c_0_88]), c_0_89]), c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_95]), c_0_96]), c_0_97])]), c_0_98]), c_0_99]), c_0_100]), c_0_87])).
cnf(c_0_113, negated_conjecture, (v36_algstr_0(k9_int_3(esk1_0))|v8_ordinal1(esk1_0)), inference(spm,[status(thm)],[c_0_110, c_0_36])).
fof(c_0_114, plain, ![X29]:(((v7_ordinal1(X29)|(~v7_ordinal1(X29)|~v1_int_2(X29)))&(~v8_ordinal1(X29)|(~v7_ordinal1(X29)|~v1_int_2(X29))))&(v1_int_2(X29)|(~v7_ordinal1(X29)|~v1_int_2(X29)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_111])])])).
cnf(c_0_115, negated_conjecture, (v8_ordinal1(esk1_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_112, c_0_113])).
cnf(c_0_116, plain, (~v8_ordinal1(X1)|~v7_ordinal1(X1)|~v1_int_2(X1)), inference(split_conjunct,[status(thm)],[c_0_114])).
cnf(c_0_117, negated_conjecture, (v8_ordinal1(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115, c_0_72]), c_0_38]), c_0_36])])).
cnf(c_0_118, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_117]), c_0_35]), c_0_36])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 119
# Proof object clause steps            : 91
# Proof object formula steps           : 28
# Proof object conjectures             : 56
# Proof object clause conjectures      : 53
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 40
# Proof object initial formulas used   : 10
# Proof object generating inferences   : 47
# Proof object simplifying inferences  : 204
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 10
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 48
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 46
# Processed clauses                    : 236
# ...of these trivial                  : 0
# ...subsumed                          : 4
# ...remaining for further processing  : 232
# Other redundant clauses eliminated   : 4
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 34
# Backward-rewritten                   : 36
# Generated clauses                    : 187
# ...of the previous two non-trivial   : 165
# Contextual simplify-reflections      : 64
# Paramodulations                      : 183
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 4
# 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  : 112
#    Positive orientable unit clauses  : 28
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 6
#    Non-unit-clauses                  : 78
# Current number of unprocessed clauses: 21
# ...number of literals in the above   : 93
# Current number of archived formulas  : 0
# Current number of archived clauses   : 116
# Clause-clause subsumption calls (NU) : 18192
# Rec. Clause-clause subsumption calls : 1513
# Non-unit clause-clause subsumptions  : 98
# Unit Clause-clause subsumption calls : 422
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 20
# BW rewrite match successes           : 20
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 12743

# -------------------------------------------------
# User time                : 0.043 s
# System time              : 0.000 s
# Total time               : 0.043 s
# Maximum resident set size: 3300 pages
