# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.023 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t70_field_16, axiom, ![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__t71_field_16', t70_field_16)).
fof(t71_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))=>m1_field_8(X3,k9_int_3(X1),k7_field_16(k9_int_3(X1),k1_newton(X1,X2)))))), file('field_16/field_16__t71_field_16', t71_field_16)).
fof(t55_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)=>m1_field_8(X3,k8_ring_3(X3),k7_field_16(k8_ring_3(X3),k1_newton(X1,X2))))))), file('field_16/field_16__t71_field_16', t55_field_16)).
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__t71_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__t71_field_16', dt_m1_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__t71_field_16', fc13_field_16)).
fof(fc4_newton, axiom, ![X1, X2]:((v7_ordinal1(X1)&v7_ordinal1(X2))=>v7_ordinal1(k1_newton(X1,X2))), file('field_16/field_16__t71_field_16', fc4_newton)).
fof(c_0_7, plain, ![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)],[t70_field_16])).
fof(c_0_8, 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))=>m1_field_8(X3,k9_int_3(X1),k7_field_16(k9_int_3(X1),k1_newton(X1,X2))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t71_field_16])])).
fof(c_0_9, 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)=>m1_field_8(X3,k8_ring_3(X3),k7_field_16(k8_ring_3(X3),k1_newton(X1,X2))))))), inference(fof_simplification,[status(thm)],[t55_field_16])).
fof(c_0_10, plain, ![X39, X40, X41]:(~v7_ordinal1(X39)|~v1_int_2(X39)|(~v7_ordinal1(X40)|v8_ordinal1(X40)|(~m1_field_16(X41,X39,k1_newton(X39,X40))|k8_ring_3(X41)=k9_int_3(X39)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])).
fof(c_0_11, 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))&~m1_field_8(esk3_0,k9_int_3(esk1_0),k7_field_16(k9_int_3(esk1_0),k1_newton(esk1_0,esk2_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
fof(c_0_12, 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_13, 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_14, plain, ![X36, X37, X38]:(~v7_ordinal1(X36)|~v1_int_2(X36)|(~v7_ordinal1(X37)|v8_ordinal1(X37)|(v2_struct_0(X38)|v6_struct_0(X38)|~v13_algstr_0(X38)|~v33_algstr_0(X38)|~v2_rlvect_1(X38)|~v3_rlvect_1(X38)|~v4_rlvect_1(X38)|~v4_vectsp_1(X38)|~v5_vectsp_1(X38)|~v3_group_1(X38)|~v5_group_1(X38)|~l6_algstr_0(X38)|(k7_struct_0(X38)!=k1_newton(X36,X37)|m1_field_8(X38,k8_ring_3(X38),k7_field_16(k8_ring_3(X38),k1_newton(X36,X37))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
cnf(c_0_15, plain, (v8_ordinal1(X2)|k8_ring_3(X3)=k9_int_3(X1)|~v7_ordinal1(X1)|~v1_int_2(X1)|~v7_ordinal1(X2)|~m1_field_16(X3,X1,k1_newton(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_16, negated_conjecture, (m1_field_16(esk3_0,esk1_0,k1_newton(esk1_0,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_17, negated_conjecture, (v1_int_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_18, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_19, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_20, negated_conjecture, (~v8_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
fof(c_0_21, plain, ![X26, X27, X28]:(((k7_struct_0(X28)=X27|~m1_field_16(X28,X26,X27)|(v2_struct_0(X28)|v6_struct_0(X28)|~v8_struct_0(X28)|~v13_algstr_0(X28)|~v33_algstr_0(X28)|~v2_rlvect_1(X28)|~v3_rlvect_1(X28)|~v4_rlvect_1(X28)|~v4_vectsp_1(X28)|~v5_vectsp_1(X28)|~v3_group_1(X28)|~v5_group_1(X28)|~l6_algstr_0(X28))|(~v7_ordinal1(X27)|~v2_field_16(X27,X26))|(~v7_ordinal1(X26)|~v1_int_2(X26)))&(m1_ec_pf_1(k9_int_3(X26),X28)|~m1_field_16(X28,X26,X27)|(v2_struct_0(X28)|v6_struct_0(X28)|~v8_struct_0(X28)|~v13_algstr_0(X28)|~v33_algstr_0(X28)|~v2_rlvect_1(X28)|~v3_rlvect_1(X28)|~v4_rlvect_1(X28)|~v4_vectsp_1(X28)|~v5_vectsp_1(X28)|~v3_group_1(X28)|~v5_group_1(X28)|~l6_algstr_0(X28))|(~v7_ordinal1(X27)|~v2_field_16(X27,X26))|(~v7_ordinal1(X26)|~v1_int_2(X26))))&(k7_struct_0(X28)!=X27|~m1_ec_pf_1(k9_int_3(X26),X28)|m1_field_16(X28,X26,X27)|(v2_struct_0(X28)|v6_struct_0(X28)|~v8_struct_0(X28)|~v13_algstr_0(X28)|~v33_algstr_0(X28)|~v2_rlvect_1(X28)|~v3_rlvect_1(X28)|~v4_rlvect_1(X28)|~v4_vectsp_1(X28)|~v5_vectsp_1(X28)|~v3_group_1(X28)|~v5_group_1(X28)|~l6_algstr_0(X28))|(~v7_ordinal1(X27)|~v2_field_16(X27,X26))|(~v7_ordinal1(X26)|~v1_int_2(X26)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])).
fof(c_0_22, plain, ![X29, X30, X31]:(((((((((((((~v2_struct_0(X31)|~m1_field_16(X31,X29,X30)|(~v7_ordinal1(X29)|~v1_int_2(X29)|~v7_ordinal1(X30)|~v2_field_16(X30,X29)))&(~v6_struct_0(X31)|~m1_field_16(X31,X29,X30)|(~v7_ordinal1(X29)|~v1_int_2(X29)|~v7_ordinal1(X30)|~v2_field_16(X30,X29))))&(v8_struct_0(X31)|~m1_field_16(X31,X29,X30)|(~v7_ordinal1(X29)|~v1_int_2(X29)|~v7_ordinal1(X30)|~v2_field_16(X30,X29))))&(v13_algstr_0(X31)|~m1_field_16(X31,X29,X30)|(~v7_ordinal1(X29)|~v1_int_2(X29)|~v7_ordinal1(X30)|~v2_field_16(X30,X29))))&(v33_algstr_0(X31)|~m1_field_16(X31,X29,X30)|(~v7_ordinal1(X29)|~v1_int_2(X29)|~v7_ordinal1(X30)|~v2_field_16(X30,X29))))&(v2_rlvect_1(X31)|~m1_field_16(X31,X29,X30)|(~v7_ordinal1(X29)|~v1_int_2(X29)|~v7_ordinal1(X30)|~v2_field_16(X30,X29))))&(v3_rlvect_1(X31)|~m1_field_16(X31,X29,X30)|(~v7_ordinal1(X29)|~v1_int_2(X29)|~v7_ordinal1(X30)|~v2_field_16(X30,X29))))&(v4_rlvect_1(X31)|~m1_field_16(X31,X29,X30)|(~v7_ordinal1(X29)|~v1_int_2(X29)|~v7_ordinal1(X30)|~v2_field_16(X30,X29))))&(v4_vectsp_1(X31)|~m1_field_16(X31,X29,X30)|(~v7_ordinal1(X29)|~v1_int_2(X29)|~v7_ordinal1(X30)|~v2_field_16(X30,X29))))&(v5_vectsp_1(X31)|~m1_field_16(X31,X29,X30)|(~v7_ordinal1(X29)|~v1_int_2(X29)|~v7_ordinal1(X30)|~v2_field_16(X30,X29))))&(v3_group_1(X31)|~m1_field_16(X31,X29,X30)|(~v7_ordinal1(X29)|~v1_int_2(X29)|~v7_ordinal1(X30)|~v2_field_16(X30,X29))))&(v5_group_1(X31)|~m1_field_16(X31,X29,X30)|(~v7_ordinal1(X29)|~v1_int_2(X29)|~v7_ordinal1(X30)|~v2_field_16(X30,X29))))&(l6_algstr_0(X31)|~m1_field_16(X31,X29,X30)|(~v7_ordinal1(X29)|~v1_int_2(X29)|~v7_ordinal1(X30)|~v2_field_16(X30,X29)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])).
cnf(c_0_23, plain, (v8_ordinal1(X2)|v2_struct_0(X3)|v6_struct_0(X3)|m1_field_8(X3,k8_ring_3(X3),k7_field_16(k8_ring_3(X3),k1_newton(X1,X2)))|~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_14])).
cnf(c_0_24, negated_conjecture, (k8_ring_3(esk3_0)=k9_int_3(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_15, c_0_16]), c_0_17]), c_0_18]), c_0_19])]), c_0_20])).
cnf(c_0_25, plain, (k7_struct_0(X1)=X2|v2_struct_0(X1)|v6_struct_0(X1)|~m1_field_16(X1,X3,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)|~v7_ordinal1(X2)|~v2_field_16(X2,X3)|~v7_ordinal1(X3)|~v1_int_2(X3)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_26, 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_22])).
cnf(c_0_27, 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_22])).
cnf(c_0_28, 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_22])).
cnf(c_0_29, 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_22])).
cnf(c_0_30, 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_22])).
cnf(c_0_31, 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_22])).
cnf(c_0_32, 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_22])).
cnf(c_0_33, 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_22])).
cnf(c_0_34, 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_22])).
cnf(c_0_35, 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_22])).
cnf(c_0_36, 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_22])).
cnf(c_0_37, 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_22])).
cnf(c_0_38, 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_22])).
cnf(c_0_39, negated_conjecture, (~m1_field_8(esk3_0,k9_int_3(esk1_0),k7_field_16(k9_int_3(esk1_0),k1_newton(esk1_0,esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_40, negated_conjecture, (v6_struct_0(esk3_0)|v2_struct_0(esk3_0)|m1_field_8(esk3_0,k9_int_3(esk1_0),k7_field_16(k9_int_3(esk1_0),k1_newton(X1,X2)))|v8_ordinal1(X2)|k7_struct_0(esk3_0)!=k1_newton(X1,X2)|~l6_algstr_0(esk3_0)|~v5_group_1(esk3_0)|~v3_group_1(esk3_0)|~v5_vectsp_1(esk3_0)|~v4_vectsp_1(esk3_0)|~v4_rlvect_1(esk3_0)|~v3_rlvect_1(esk3_0)|~v2_rlvect_1(esk3_0)|~v33_algstr_0(esk3_0)|~v13_algstr_0(esk3_0)|~v1_int_2(X1)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_23, c_0_24])).
cnf(c_0_41, plain, (k7_struct_0(X1)=X2|~v2_field_16(X2,X3)|~m1_field_16(X1,X3,X2)|~v1_int_2(X3)|~v7_ordinal1(X3)|~v7_ordinal1(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)],[inference(csr,[status(thm)],[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]), c_0_35]), c_0_36]), c_0_37]), c_0_38])).
cnf(c_0_42, negated_conjecture, (v6_struct_0(esk3_0)|v2_struct_0(esk3_0)|k7_struct_0(esk3_0)!=k1_newton(esk1_0,esk2_0)|~l6_algstr_0(esk3_0)|~v5_group_1(esk3_0)|~v3_group_1(esk3_0)|~v5_vectsp_1(esk3_0)|~v4_vectsp_1(esk3_0)|~v4_rlvect_1(esk3_0)|~v3_rlvect_1(esk3_0)|~v2_rlvect_1(esk3_0)|~v33_algstr_0(esk3_0)|~v13_algstr_0(esk3_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_39, c_0_40]), c_0_17]), c_0_18]), c_0_19])]), c_0_20])).
cnf(c_0_43, negated_conjecture, (k7_struct_0(esk3_0)=k1_newton(esk1_0,esk2_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_41, c_0_16]), c_0_17]), c_0_19])])).
cnf(c_0_44, 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_37, c_0_16]), c_0_17]), c_0_19])])).
cnf(c_0_45, 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_38, c_0_16]), c_0_17]), c_0_19])])).
fof(c_0_46, 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])).
cnf(c_0_47, negated_conjecture, (~l6_algstr_0(esk3_0)|~v5_group_1(esk3_0)|~v3_group_1(esk3_0)|~v5_vectsp_1(esk3_0)|~v4_vectsp_1(esk3_0)|~v4_rlvect_1(esk3_0)|~v3_rlvect_1(esk3_0)|~v2_rlvect_1(esk3_0)|~v33_algstr_0(esk3_0)|~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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44]), c_0_45])).
cnf(c_0_48, 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_36, c_0_16]), c_0_17]), c_0_19])])).
cnf(c_0_49, 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_27, c_0_16]), c_0_17]), c_0_19])])).
cnf(c_0_50, 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_28, c_0_16]), c_0_17]), c_0_19])])).
cnf(c_0_51, 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_29, c_0_16]), c_0_17]), c_0_19])])).
cnf(c_0_52, 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_30, c_0_16]), c_0_17]), c_0_19])])).
cnf(c_0_53, 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_31, c_0_16]), c_0_17]), c_0_19])])).
cnf(c_0_54, 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_32, c_0_16]), c_0_17]), c_0_19])])).
cnf(c_0_55, 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_33, c_0_16]), c_0_17]), c_0_19])])).
cnf(c_0_56, 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_34, c_0_16]), c_0_17]), c_0_19])])).
cnf(c_0_57, 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_35, c_0_16]), c_0_17]), c_0_19])])).
fof(c_0_58, plain, ![X34, X35]:(~v7_ordinal1(X34)|~v7_ordinal1(X35)|v7_ordinal1(k1_newton(X34,X35))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc4_newton])])).
fof(c_0_59, plain, ![X32, X33]:(~v7_ordinal1(X32)|~v7_ordinal1(X33)|v8_ordinal1(X33)|v2_field_16(k1_newton(X32,X33),X32)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])).
cnf(c_0_60, negated_conjecture, (~v2_field_16(k1_newton(esk1_0,esk2_0),esk1_0)|~v7_ordinal1(k1_newton(esk1_0,esk2_0))), 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(spm,[status(thm)],[c_0_47, c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53]), c_0_54]), c_0_55]), c_0_56]), c_0_57])).
cnf(c_0_61, plain, (v7_ordinal1(k1_newton(X1,X2))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_62, 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_59])).
cnf(c_0_63, negated_conjecture, (~v2_field_16(k1_newton(esk1_0,esk2_0),esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_18]), c_0_19])])).
cnf(c_0_64, negated_conjecture, (v2_field_16(k1_newton(X1,esk2_0),X1)|~v7_ordinal1(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_18]), c_0_20])).
cnf(c_0_65, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_19])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 66
# Proof object clause steps            : 46
# Proof object formula steps           : 20
# Proof object conjectures             : 30
# Proof object clause conjectures      : 27
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 24
# Proof object initial formulas used   : 7
# Proof object generating inferences   : 21
# Proof object simplifying inferences  : 79
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 7
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 26
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 26
# Processed clauses                    : 83
# ...of these trivial                  : 0
# ...subsumed                          : 1
# ...remaining for further processing  : 82
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 16
# Backward-rewritten                   : 0
# Generated clauses                    : 39
# ...of the previous two non-trivial   : 38
# Contextual simplify-reflections      : 37
# Paramodulations                      : 38
# 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  : 39
#    Positive orientable unit clauses  : 5
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 31
# Current number of unprocessed clauses: 7
# ...number of literals in the above   : 29
# Current number of archived formulas  : 0
# Current number of archived clauses   : 42
# Clause-clause subsumption calls (NU) : 1847
# Rec. Clause-clause subsumption calls : 193
# Non-unit clause-clause subsumptions  : 54
# Unit Clause-clause subsumption calls : 2
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 0
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 4816

# -------------------------------------------------
# User time                : 0.023 s
# System time              : 0.007 s
# Total time               : 0.030 s
# Maximum resident set size: 3508 pages
