# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
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__t43_field_16', l61_field_16)).
fof(t43_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))=>k7_polynom5(X1,k7_field_16(X1,k3_ring_3(X1)))=u1_struct_0(k8_ring_3(X1))), file('field_16/field_16__t43_field_16', t43_field_16)).
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__t43_field_16', fc1_field_15)).
fof(l63_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_polynom5(X3,k7_field_16(X3,X1))=u1_struct_0(k8_ring_3(X3)))))), file('field_16/field_16__t43_field_16', l63_field_16)).
fof(c_0_4, 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_5, 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))=>k7_polynom5(X1,k7_field_16(X1,k3_ring_3(X1)))=u1_struct_0(k8_ring_3(X1)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t43_field_16])])).
fof(c_0_6, plain, ![X14]:(((v7_ordinal1(esk2_1(X14))|(v2_struct_0(X14)|v6_struct_0(X14)|~v8_struct_0(X14)|~v13_algstr_0(X14)|~v33_algstr_0(X14)|~v2_rlvect_1(X14)|~v3_rlvect_1(X14)|~v4_rlvect_1(X14)|~v4_vectsp_1(X14)|~v5_vectsp_1(X14)|~v3_group_1(X14)|~v5_group_1(X14)|~l6_algstr_0(X14)))&(v1_int_2(esk2_1(X14))|(v2_struct_0(X14)|v6_struct_0(X14)|~v8_struct_0(X14)|~v13_algstr_0(X14)|~v33_algstr_0(X14)|~v2_rlvect_1(X14)|~v3_rlvect_1(X14)|~v4_rlvect_1(X14)|~v4_vectsp_1(X14)|~v5_vectsp_1(X14)|~v3_group_1(X14)|~v5_group_1(X14)|~l6_algstr_0(X14))))&((((v7_ordinal1(esk3_1(X14))|(v2_struct_0(X14)|v6_struct_0(X14)|~v8_struct_0(X14)|~v13_algstr_0(X14)|~v33_algstr_0(X14)|~v2_rlvect_1(X14)|~v3_rlvect_1(X14)|~v4_rlvect_1(X14)|~v4_vectsp_1(X14)|~v5_vectsp_1(X14)|~v3_group_1(X14)|~v5_group_1(X14)|~l6_algstr_0(X14)))&(~v8_ordinal1(esk3_1(X14))|(v2_struct_0(X14)|v6_struct_0(X14)|~v8_struct_0(X14)|~v13_algstr_0(X14)|~v33_algstr_0(X14)|~v2_rlvect_1(X14)|~v3_rlvect_1(X14)|~v4_rlvect_1(X14)|~v4_vectsp_1(X14)|~v5_vectsp_1(X14)|~v3_group_1(X14)|~v5_group_1(X14)|~l6_algstr_0(X14))))&(k3_ring_3(X14)=esk2_1(X14)|(v2_struct_0(X14)|v6_struct_0(X14)|~v8_struct_0(X14)|~v13_algstr_0(X14)|~v33_algstr_0(X14)|~v2_rlvect_1(X14)|~v3_rlvect_1(X14)|~v4_rlvect_1(X14)|~v4_vectsp_1(X14)|~v5_vectsp_1(X14)|~v3_group_1(X14)|~v5_group_1(X14)|~l6_algstr_0(X14))))&(k7_struct_0(X14)=k1_newton(esk2_1(X14),esk3_1(X14))|(v2_struct_0(X14)|v6_struct_0(X14)|~v8_struct_0(X14)|~v13_algstr_0(X14)|~v33_algstr_0(X14)|~v2_rlvect_1(X14)|~v3_rlvect_1(X14)|~v4_rlvect_1(X14)|~v4_vectsp_1(X14)|~v5_vectsp_1(X14)|~v3_group_1(X14)|~v5_group_1(X14)|~l6_algstr_0(X14))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])).
fof(c_0_7, 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))&k7_polynom5(esk1_0,k7_field_16(esk1_0,k3_ring_3(esk1_0)))!=u1_struct_0(k8_ring_3(esk1_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])).
fof(c_0_8, 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_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)=>k7_polynom5(X3,k7_field_16(X3,X1))=u1_struct_0(k8_ring_3(X3)))))), inference(fof_simplification,[status(thm)],[l63_field_16])).
cnf(c_0_10, 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_6])).
cnf(c_0_11, negated_conjecture, (l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_12, negated_conjecture, (v5_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_13, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_14, negated_conjecture, (v5_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_15, negated_conjecture, (v4_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_16, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_17, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_18, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_19, negated_conjecture, (v33_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_20, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_21, negated_conjecture, (v8_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_22, negated_conjecture, (~v6_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_23, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
fof(c_0_24, plain, ![X13]:((v7_ordinal1(k3_ring_3(X13))|(v2_struct_0(X13)|v6_struct_0(X13)|~v8_struct_0(X13)|~v13_algstr_0(X13)|~v33_algstr_0(X13)|~v2_rlvect_1(X13)|~v3_rlvect_1(X13)|~v4_rlvect_1(X13)|~v4_vectsp_1(X13)|~v5_vectsp_1(X13)|~v3_group_1(X13)|~v5_group_1(X13)|~l6_algstr_0(X13)))&(v1_int_2(k3_ring_3(X13))|(v2_struct_0(X13)|v6_struct_0(X13)|~v8_struct_0(X13)|~v13_algstr_0(X13)|~v33_algstr_0(X13)|~v2_rlvect_1(X13)|~v3_rlvect_1(X13)|~v4_rlvect_1(X13)|~v4_vectsp_1(X13)|~v5_vectsp_1(X13)|~v3_group_1(X13)|~v5_group_1(X13)|~l6_algstr_0(X13)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
fof(c_0_25, plain, ![X17, X18, X19]:(~v7_ordinal1(X17)|~v1_int_2(X17)|(~v7_ordinal1(X18)|v8_ordinal1(X18)|(v2_struct_0(X19)|v6_struct_0(X19)|~v13_algstr_0(X19)|~v33_algstr_0(X19)|~v2_rlvect_1(X19)|~v3_rlvect_1(X19)|~v4_rlvect_1(X19)|~v4_vectsp_1(X19)|~v5_vectsp_1(X19)|~v3_group_1(X19)|~v5_group_1(X19)|~l6_algstr_0(X19)|(k7_struct_0(X19)!=k1_newton(X17,X18)|k7_polynom5(X19,k7_field_16(X19,X17))=u1_struct_0(k8_ring_3(X19)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
cnf(c_0_26, 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_6])).
cnf(c_0_27, 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_10, c_0_11]), c_0_12]), c_0_13]), c_0_14]), c_0_15]), c_0_16]), c_0_17]), c_0_18]), c_0_19]), c_0_20]), c_0_21])]), c_0_22]), c_0_23])).
cnf(c_0_28, 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_24])).
cnf(c_0_29, 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_6])).
cnf(c_0_30, plain, (v7_ordinal1(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_24])).
cnf(c_0_31, plain, (v8_ordinal1(X2)|v2_struct_0(X3)|v6_struct_0(X3)|k7_polynom5(X3,k7_field_16(X3,X1))=u1_struct_0(k8_ring_3(X3))|~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_25])).
cnf(c_0_32, 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_26, c_0_11]), c_0_27]), c_0_12]), c_0_13]), c_0_14]), c_0_15]), c_0_16]), c_0_17]), c_0_18]), c_0_19]), c_0_20]), c_0_21])]), c_0_22]), c_0_23])).
cnf(c_0_33, 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_28, c_0_11]), c_0_12]), c_0_13]), c_0_14]), c_0_15]), c_0_16]), c_0_17]), c_0_18]), c_0_19]), c_0_20]), c_0_21])]), c_0_22]), c_0_23])).
cnf(c_0_34, 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_29, c_0_11]), c_0_12]), c_0_13]), c_0_14]), c_0_15]), c_0_16]), c_0_17]), c_0_18]), c_0_19]), c_0_20]), c_0_21])]), c_0_22]), c_0_23])).
cnf(c_0_35, negated_conjecture, (v7_ordinal1(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_30, c_0_11]), c_0_12]), c_0_13]), c_0_14]), c_0_15]), c_0_16]), c_0_17]), c_0_18]), c_0_19]), c_0_20]), c_0_21])]), c_0_22]), c_0_23])).
cnf(c_0_36, negated_conjecture, (k7_polynom5(X1,k7_field_16(X1,k3_ring_3(esk1_0)))=u1_struct_0(k8_ring_3(X1))|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_31, c_0_32]), c_0_33]), c_0_34]), c_0_35])])).
cnf(c_0_37, negated_conjecture, (k7_polynom5(esk1_0,k7_field_16(esk1_0,k3_ring_3(esk1_0)))!=u1_struct_0(k8_ring_3(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_38, 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_6])).
cnf(c_0_39, 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_36]), c_0_11]), c_0_12]), c_0_13]), c_0_14]), c_0_15]), c_0_16]), c_0_17]), c_0_18]), c_0_19]), c_0_20])]), c_0_37]), c_0_22]), c_0_23])).
cnf(c_0_40, 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_38, c_0_39]), c_0_11]), c_0_12]), c_0_13]), c_0_14]), c_0_15]), c_0_16]), c_0_17]), c_0_18]), c_0_19]), c_0_20]), c_0_21])]), c_0_22]), c_0_23]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 41
# Proof object clause steps            : 29
# Proof object formula steps           : 12
# Proof object conjectures             : 25
# Proof object clause conjectures      : 22
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 21
# Proof object initial formulas used   : 4
# Proof object generating inferences   : 8
# Proof object simplifying inferences  : 98
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 4
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 23
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 23
# Processed clauses                    : 53
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 53
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 1
# Generated clauses                    : 10
# ...of the previous two non-trivial   : 7
# Contextual simplify-reflections      : 0
# Paramodulations                      : 9
# 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  : 29
#    Positive orientable unit clauses  : 17
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 9
# Current number of unprocessed clauses: 0
# ...number of literals in the above   : 0
# Current number of archived formulas  : 0
# Current number of archived clauses   : 24
# Clause-clause subsumption calls (NU) : 124
# Rec. Clause-clause subsumption calls : 0
# Non-unit clause-clause subsumptions  : 0
# Unit Clause-clause subsumption calls : 0
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 3783

# -------------------------------------------------
# User time                : 0.023 s
# System time              : 0.003 s
# Total time               : 0.026 s
# Maximum resident set size: 3520 pages
