# 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       : 0.028 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(dt_m1_finseq_1, axiom, ![X1, X2]:(m1_finseq_1(X2,X1)=>((v1_relat_1(X2)&v1_funct_1(X2))&v1_finseq_1(X2))), file('e_trans1/e_trans1__t38_e_trans1', dt_m1_finseq_1)).
fof(redefinition_m2_finseq_1, axiom, ![X1, X2]:(m2_finseq_1(X2,X1)<=>m1_finseq_1(X2,X1)), file('e_trans1/e_trans1__t38_e_trans1', redefinition_m2_finseq_1)).
fof(dt_k6_e_trans1, axiom, ![X1]:(m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))=>m2_finseq_1(k6_e_trans1(X1),u1_struct_0(k12_polynom3(k2_vectsp_1)))), file('e_trans1/e_trans1__t38_e_trans1', dt_k6_e_trans1)).
fof(d6_e_trans1, axiom, ![X1]:(m2_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))=>![X2]:(m2_finseq_1(X2,u1_struct_0(k12_polynom3(k2_vectsp_1)))=>(X2=k6_e_trans1(X1)<=>(k4_finseq_1(X2)=k4_finseq_1(X1)&![X3]:(v7_ordinal1(X3)=>(r2_tarski(X3,k4_finseq_1(X1))=>k1_funct_1(X2,X3)=k5_e_trans1(k7_partfun1(u1_struct_0(k12_polynom3(k1_int_3)),X1,X3)))))))), file('e_trans1/e_trans1__t38_e_trans1', d6_e_trans1)).
fof(t37_e_trans1, axiom, ![X1]:(((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>![X2]:((~(v1_xboole_0(X2))&m2_finseq_1(X2,u1_struct_0(k12_polynom3(X1))))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k2_polynom4(X1,k2_basel_2(X1,k3_group_4(k12_polynom3(X1),X2)),X3)=k3_group_4(X1,k7_e_trans1(X1,X2,X3))))), file('e_trans1/e_trans1__t38_e_trans1', t37_e_trans1)).
fof(redefinition_k4_finseq_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>k4_finseq_1(X1)=k9_xtuple_0(X1)), file('e_trans1/e_trans1__t38_e_trans1', redefinition_k4_finseq_1)).
fof(fc8_vectsp_1, axiom, (((((((((((~(v6_struct_0(k2_vectsp_1))&v13_algstr_0(k2_vectsp_1))&v33_algstr_0(k2_vectsp_1))&v36_algstr_0(k2_vectsp_1))&v2_rlvect_1(k2_vectsp_1))&v3_rlvect_1(k2_vectsp_1))&v4_rlvect_1(k2_vectsp_1))&v3_group_1(k2_vectsp_1))&v5_group_1(k2_vectsp_1))&v3_vectsp_1(k2_vectsp_1))&v5_vectsp_1(k2_vectsp_1))&v6_vectsp_1(k2_vectsp_1)), file('e_trans1/e_trans1__t38_e_trans1', fc8_vectsp_1)).
fof(l77_e_trans1, axiom, ![X1]:((~(v1_xboole_0(X1))&m2_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3))))=>k3_group_4(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1))=k5_e_trans1(k3_group_4(k12_polynom3(k1_int_3),X1))), file('e_trans1/e_trans1__t38_e_trans1', l77_e_trans1)).
fof(t38_e_trans1, conjecture, ![X1]:((~(v1_xboole_0(X1))&m2_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3))))=>![X2]:(m1_subset_1(X2,u1_struct_0(k2_vectsp_1))=>k2_polynom4(k2_vectsp_1,k2_basel_2(k2_vectsp_1,k5_e_trans1(k3_group_4(k12_polynom3(k1_int_3),X1))),X2)=k3_group_4(k2_vectsp_1,k7_e_trans1(k2_vectsp_1,k6_e_trans1(X1),X2)))), file('e_trans1/e_trans1__t38_e_trans1', t38_e_trans1)).
fof(fc10_relat_1, axiom, ![X1]:(v1_xboole_0(X1)=>v1_xboole_0(k9_xtuple_0(X1))), file('e_trans1/e_trans1__t38_e_trans1', fc10_relat_1)).
fof(fc6_vectsp_1, axiom, (v36_algstr_0(k2_vectsp_1)&v4_vectsp_1(k2_vectsp_1)), file('e_trans1/e_trans1__t38_e_trans1', fc6_vectsp_1)).
fof(dt_k2_vectsp_1, axiom, (v36_algstr_0(k2_vectsp_1)&l6_algstr_0(k2_vectsp_1)), file('e_trans1/e_trans1__t38_e_trans1', dt_k2_vectsp_1)).
fof(fc8_relat_1, axiom, ![X1]:((~(v1_xboole_0(X1))&v1_relat_1(X1))=>~(v1_xboole_0(k9_xtuple_0(X1)))), file('e_trans1/e_trans1__t38_e_trans1', fc8_relat_1)).
fof(cc2_struct_0, axiom, ![X1]:(l1_struct_0(X1)=>(~(v7_struct_0(X1))=>~(v2_struct_0(X1)))), file('e_trans1/e_trans1__t38_e_trans1', cc2_struct_0)).
fof(cc3_struct_0, axiom, ![X1]:(l4_struct_0(X1)=>(~(v6_struct_0(X1))=>~(v7_struct_0(X1)))), file('e_trans1/e_trans1__t38_e_trans1', cc3_struct_0)).
fof(dt_l5_algstr_0, axiom, ![X1]:(l5_algstr_0(X1)=>(l4_algstr_0(X1)&l4_struct_0(X1))), file('e_trans1/e_trans1__t38_e_trans1', dt_l5_algstr_0)).
fof(dt_l3_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>l1_struct_0(X1)), file('e_trans1/e_trans1__t38_e_trans1', dt_l3_algstr_0)).
fof(dt_l4_algstr_0, axiom, ![X1]:(l4_algstr_0(X1)=>(l3_struct_0(X1)&l3_algstr_0(X1))), file('e_trans1/e_trans1__t38_e_trans1', dt_l4_algstr_0)).
fof(dt_l6_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(l2_algstr_0(X1)&l5_algstr_0(X1))), file('e_trans1/e_trans1__t38_e_trans1', dt_l6_algstr_0)).
fof(c_0_19, plain, ![X40, X41]:(((v1_relat_1(X41)|~m1_finseq_1(X41,X40))&(v1_funct_1(X41)|~m1_finseq_1(X41,X40)))&(v1_finseq_1(X41)|~m1_finseq_1(X41,X40))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_finseq_1])])])).
fof(c_0_20, plain, ![X46, X47]:((~m2_finseq_1(X47,X46)|m1_finseq_1(X47,X46))&(~m1_finseq_1(X47,X46)|m2_finseq_1(X47,X46))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_finseq_1])])).
cnf(c_0_21, plain, (v1_finseq_1(X1)|~m1_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_22, plain, (m1_finseq_1(X1,X2)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_20])).
fof(c_0_23, plain, ![X35]:(~m1_finseq_1(X35,u1_struct_0(k12_polynom3(k1_int_3)))|m2_finseq_1(k6_e_trans1(X35),u1_struct_0(k12_polynom3(k2_vectsp_1)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_e_trans1])])).
cnf(c_0_24, plain, (v1_relat_1(X1)|~m1_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_25, plain, (v1_funct_1(X1)|~m1_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_19])).
fof(c_0_26, plain, ![X31, X32, X33]:(((k4_finseq_1(X32)=k4_finseq_1(X31)|X32!=k6_e_trans1(X31)|~m2_finseq_1(X32,u1_struct_0(k12_polynom3(k2_vectsp_1)))|~m2_finseq_1(X31,u1_struct_0(k12_polynom3(k1_int_3))))&(~v7_ordinal1(X33)|(~r2_tarski(X33,k4_finseq_1(X31))|k1_funct_1(X32,X33)=k5_e_trans1(k7_partfun1(u1_struct_0(k12_polynom3(k1_int_3)),X31,X33)))|X32!=k6_e_trans1(X31)|~m2_finseq_1(X32,u1_struct_0(k12_polynom3(k2_vectsp_1)))|~m2_finseq_1(X31,u1_struct_0(k12_polynom3(k1_int_3)))))&((v7_ordinal1(esk3_2(X31,X32))|k4_finseq_1(X32)!=k4_finseq_1(X31)|X32=k6_e_trans1(X31)|~m2_finseq_1(X32,u1_struct_0(k12_polynom3(k2_vectsp_1)))|~m2_finseq_1(X31,u1_struct_0(k12_polynom3(k1_int_3))))&((r2_tarski(esk3_2(X31,X32),k4_finseq_1(X31))|k4_finseq_1(X32)!=k4_finseq_1(X31)|X32=k6_e_trans1(X31)|~m2_finseq_1(X32,u1_struct_0(k12_polynom3(k2_vectsp_1)))|~m2_finseq_1(X31,u1_struct_0(k12_polynom3(k1_int_3))))&(k1_funct_1(X32,esk3_2(X31,X32))!=k5_e_trans1(k7_partfun1(u1_struct_0(k12_polynom3(k1_int_3)),X31,esk3_2(X31,X32)))|k4_finseq_1(X32)!=k4_finseq_1(X31)|X32=k6_e_trans1(X31)|~m2_finseq_1(X32,u1_struct_0(k12_polynom3(k2_vectsp_1)))|~m2_finseq_1(X31,u1_struct_0(k12_polynom3(k1_int_3))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_e_trans1])])])])])).
fof(c_0_27, plain, ![X1]:(((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>![X2]:((~v1_xboole_0(X2)&m2_finseq_1(X2,u1_struct_0(k12_polynom3(X1))))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k2_polynom4(X1,k2_basel_2(X1,k3_group_4(k12_polynom3(X1),X2)),X3)=k3_group_4(X1,k7_e_trans1(X1,X2,X3))))), inference(fof_simplification,[status(thm)],[t37_e_trans1])).
fof(c_0_28, plain, ![X45]:(~v1_relat_1(X45)|~v1_funct_1(X45)|~v1_finseq_1(X45)|k4_finseq_1(X45)=k9_xtuple_0(X45)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_finseq_1])])).
cnf(c_0_29, plain, (v1_finseq_1(X1)|~m2_finseq_1(X1,X2)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
cnf(c_0_30, plain, (m2_finseq_1(k6_e_trans1(X1),u1_struct_0(k12_polynom3(k2_vectsp_1)))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_31, plain, (v1_relat_1(X1)|~m2_finseq_1(X1,X2)), inference(spm,[status(thm)],[c_0_24, c_0_22])).
cnf(c_0_32, plain, (v1_funct_1(X1)|~m2_finseq_1(X1,X2)), inference(spm,[status(thm)],[c_0_25, c_0_22])).
cnf(c_0_33, plain, (k4_finseq_1(X1)=k4_finseq_1(X2)|X1!=k6_e_trans1(X2)|~m2_finseq_1(X1,u1_struct_0(k12_polynom3(k2_vectsp_1)))|~m2_finseq_1(X2,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_26])).
fof(c_0_34, plain, ![X48, X49, X50]:(v2_struct_0(X48)|v6_struct_0(X48)|~v13_algstr_0(X48)|~v3_group_1(X48)|~v5_group_1(X48)|~v2_rlvect_1(X48)|~v3_rlvect_1(X48)|~v4_rlvect_1(X48)|~v4_vectsp_1(X48)|~v5_vectsp_1(X48)|~l6_algstr_0(X48)|(v1_xboole_0(X49)|~m2_finseq_1(X49,u1_struct_0(k12_polynom3(X48)))|(~m1_subset_1(X50,u1_struct_0(X48))|k2_polynom4(X48,k2_basel_2(X48,k3_group_4(k12_polynom3(X48),X49)),X50)=k3_group_4(X48,k7_e_trans1(X48,X49,X50))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])).
fof(c_0_35, plain, (((((((((((~v6_struct_0(k2_vectsp_1)&v13_algstr_0(k2_vectsp_1))&v33_algstr_0(k2_vectsp_1))&v36_algstr_0(k2_vectsp_1))&v2_rlvect_1(k2_vectsp_1))&v3_rlvect_1(k2_vectsp_1))&v4_rlvect_1(k2_vectsp_1))&v3_group_1(k2_vectsp_1))&v5_group_1(k2_vectsp_1))&v3_vectsp_1(k2_vectsp_1))&v5_vectsp_1(k2_vectsp_1))&v6_vectsp_1(k2_vectsp_1)), inference(fof_simplification,[status(thm)],[fc8_vectsp_1])).
fof(c_0_36, plain, ![X1]:((~v1_xboole_0(X1)&m2_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3))))=>k3_group_4(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1))=k5_e_trans1(k3_group_4(k12_polynom3(k1_int_3),X1))), inference(fof_simplification,[status(thm)],[l77_e_trans1])).
fof(c_0_37, negated_conjecture, ~(![X1]:((~v1_xboole_0(X1)&m2_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3))))=>![X2]:(m1_subset_1(X2,u1_struct_0(k2_vectsp_1))=>k2_polynom4(k2_vectsp_1,k2_basel_2(k2_vectsp_1,k5_e_trans1(k3_group_4(k12_polynom3(k1_int_3),X1))),X2)=k3_group_4(k2_vectsp_1,k7_e_trans1(k2_vectsp_1,k6_e_trans1(X1),X2))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t38_e_trans1])])).
fof(c_0_38, plain, ![X42]:(~v1_xboole_0(X42)|v1_xboole_0(k9_xtuple_0(X42))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_relat_1])])).
cnf(c_0_39, plain, (k4_finseq_1(X1)=k9_xtuple_0(X1)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_40, plain, (v1_finseq_1(k6_e_trans1(X1))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_29, c_0_30])).
cnf(c_0_41, plain, (v1_relat_1(k6_e_trans1(X1))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_31, c_0_30])).
cnf(c_0_42, plain, (v1_funct_1(k6_e_trans1(X1))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_32, c_0_30])).
cnf(c_0_43, plain, (k4_finseq_1(k6_e_trans1(X1))=k4_finseq_1(X1)|~m2_finseq_1(k6_e_trans1(X1),u1_struct_0(k12_polynom3(k2_vectsp_1)))|~m2_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(er,[status(thm)],[c_0_33])).
cnf(c_0_44, plain, (m2_finseq_1(X1,X2)|~m1_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_45, plain, (v2_struct_0(X1)|v6_struct_0(X1)|v1_xboole_0(X2)|k2_polynom4(X1,k2_basel_2(X1,k3_group_4(k12_polynom3(X1),X2)),X3)=k3_group_4(X1,k7_e_trans1(X1,X2,X3))|~v13_algstr_0(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)|~m2_finseq_1(X2,u1_struct_0(k12_polynom3(X1)))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_46, plain, (v5_vectsp_1(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_47, plain, (v5_group_1(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_48, plain, (v3_group_1(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_49, plain, (v4_rlvect_1(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_50, plain, (v3_rlvect_1(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_51, plain, (v2_rlvect_1(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_52, plain, (v13_algstr_0(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_53, plain, (v4_vectsp_1(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[fc6_vectsp_1])).
cnf(c_0_54, plain, (l6_algstr_0(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[dt_k2_vectsp_1])).
cnf(c_0_55, plain, (~v6_struct_0(k2_vectsp_1)), inference(split_conjunct,[status(thm)],[c_0_35])).
fof(c_0_56, plain, ![X44]:(v1_xboole_0(X44)|~m2_finseq_1(X44,u1_struct_0(k12_polynom3(k1_int_3)))|k3_group_4(k12_polynom3(k2_vectsp_1),k6_e_trans1(X44))=k5_e_trans1(k3_group_4(k12_polynom3(k1_int_3),X44))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])).
fof(c_0_57, negated_conjecture, ((~v1_xboole_0(esk1_0)&m2_finseq_1(esk1_0,u1_struct_0(k12_polynom3(k1_int_3))))&(m1_subset_1(esk2_0,u1_struct_0(k2_vectsp_1))&k2_polynom4(k2_vectsp_1,k2_basel_2(k2_vectsp_1,k5_e_trans1(k3_group_4(k12_polynom3(k1_int_3),esk1_0))),esk2_0)!=k3_group_4(k2_vectsp_1,k7_e_trans1(k2_vectsp_1,k6_e_trans1(esk1_0),esk2_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])).
cnf(c_0_58, plain, (v1_xboole_0(k9_xtuple_0(X1))|~v1_xboole_0(X1)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_59, plain, (k9_xtuple_0(k6_e_trans1(X1))=k4_finseq_1(k6_e_trans1(X1))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_41]), c_0_42])).
cnf(c_0_60, plain, (k4_finseq_1(k6_e_trans1(X1))=k4_finseq_1(X1)|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_30]), c_0_44])).
cnf(c_0_61, plain, (k2_polynom4(k2_vectsp_1,k2_basel_2(k2_vectsp_1,k3_group_4(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1))),X2)=k3_group_4(k2_vectsp_1,k7_e_trans1(k2_vectsp_1,k6_e_trans1(X1),X2))|v2_struct_0(k2_vectsp_1)|v1_xboole_0(k6_e_trans1(X1))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~m1_subset_1(X2,u1_struct_0(k2_vectsp_1))), 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_45, c_0_30]), c_0_46]), 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])).
cnf(c_0_62, plain, (v1_xboole_0(X1)|k3_group_4(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1))=k5_e_trans1(k3_group_4(k12_polynom3(k1_int_3),X1))|~m2_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_56])).
cnf(c_0_63, negated_conjecture, (m2_finseq_1(esk1_0,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_64, negated_conjecture, (~v1_xboole_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_57])).
fof(c_0_65, plain, ![X1]:((~v1_xboole_0(X1)&v1_relat_1(X1))=>~v1_xboole_0(k9_xtuple_0(X1))), inference(fof_simplification,[status(thm)],[fc8_relat_1])).
cnf(c_0_66, plain, (v1_xboole_0(k4_finseq_1(k6_e_trans1(X1)))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~v1_xboole_0(k6_e_trans1(X1))), inference(spm,[status(thm)],[c_0_58, c_0_59])).
cnf(c_0_67, plain, (k4_finseq_1(k6_e_trans1(X1))=k4_finseq_1(X1)|~m2_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_60, c_0_22])).
cnf(c_0_68, plain, (k2_polynom4(k2_vectsp_1,k2_basel_2(k2_vectsp_1,k3_group_4(k12_polynom3(k2_vectsp_1),k6_e_trans1(X1))),X2)=k3_group_4(k2_vectsp_1,k7_e_trans1(k2_vectsp_1,k6_e_trans1(X1),X2))|v2_struct_0(k2_vectsp_1)|v1_xboole_0(k6_e_trans1(X1))|~m1_subset_1(X2,u1_struct_0(k2_vectsp_1))|~m2_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_61, c_0_22])).
cnf(c_0_69, negated_conjecture, (k2_polynom4(k2_vectsp_1,k2_basel_2(k2_vectsp_1,k5_e_trans1(k3_group_4(k12_polynom3(k1_int_3),esk1_0))),esk2_0)!=k3_group_4(k2_vectsp_1,k7_e_trans1(k2_vectsp_1,k6_e_trans1(esk1_0),esk2_0))), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_70, negated_conjecture, (k5_e_trans1(k3_group_4(k12_polynom3(k1_int_3),esk1_0))=k3_group_4(k12_polynom3(k2_vectsp_1),k6_e_trans1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_64])).
fof(c_0_71, plain, ![X43]:(v1_xboole_0(X43)|~v1_relat_1(X43)|~v1_xboole_0(k9_xtuple_0(X43))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])).
cnf(c_0_72, negated_conjecture, (v1_finseq_1(esk1_0)), inference(spm,[status(thm)],[c_0_29, c_0_63])).
cnf(c_0_73, negated_conjecture, (v1_funct_1(esk1_0)), inference(spm,[status(thm)],[c_0_32, c_0_63])).
cnf(c_0_74, negated_conjecture, (v1_relat_1(esk1_0)), inference(spm,[status(thm)],[c_0_31, c_0_63])).
fof(c_0_75, plain, ![X1]:(l1_struct_0(X1)=>(~v7_struct_0(X1)=>~v2_struct_0(X1))), inference(fof_simplification,[status(thm)],[cc2_struct_0])).
cnf(c_0_76, plain, (v1_xboole_0(k4_finseq_1(X1))|~m1_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~v1_xboole_0(k6_e_trans1(X1))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_67]), c_0_44])).
cnf(c_0_77, negated_conjecture, (k2_polynom4(k2_vectsp_1,k2_basel_2(k2_vectsp_1,k3_group_4(k12_polynom3(k2_vectsp_1),k6_e_trans1(esk1_0))),X1)=k3_group_4(k2_vectsp_1,k7_e_trans1(k2_vectsp_1,k6_e_trans1(esk1_0),X1))|v2_struct_0(k2_vectsp_1)|v1_xboole_0(k6_e_trans1(esk1_0))|~m1_subset_1(X1,u1_struct_0(k2_vectsp_1))), inference(spm,[status(thm)],[c_0_68, c_0_63])).
cnf(c_0_78, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k2_vectsp_1))), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_79, negated_conjecture, (k2_polynom4(k2_vectsp_1,k2_basel_2(k2_vectsp_1,k3_group_4(k12_polynom3(k2_vectsp_1),k6_e_trans1(esk1_0))),esk2_0)!=k3_group_4(k2_vectsp_1,k7_e_trans1(k2_vectsp_1,k6_e_trans1(esk1_0),esk2_0))), inference(rw,[status(thm)],[c_0_69, c_0_70])).
cnf(c_0_80, plain, (v1_xboole_0(X1)|~v1_relat_1(X1)|~v1_xboole_0(k9_xtuple_0(X1))), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_81, negated_conjecture, (k9_xtuple_0(esk1_0)=k4_finseq_1(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_72]), c_0_73]), c_0_74])])).
fof(c_0_82, plain, ![X1]:(l4_struct_0(X1)=>(~v6_struct_0(X1)=>~v7_struct_0(X1))), inference(fof_simplification,[status(thm)],[cc3_struct_0])).
fof(c_0_83, plain, ![X29]:(~l1_struct_0(X29)|(v7_struct_0(X29)|~v2_struct_0(X29))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])).
cnf(c_0_84, plain, (v1_xboole_0(k4_finseq_1(X1))|~m2_finseq_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~v1_xboole_0(k6_e_trans1(X1))), inference(spm,[status(thm)],[c_0_76, c_0_22])).
cnf(c_0_85, negated_conjecture, (v2_struct_0(k2_vectsp_1)|v1_xboole_0(k6_e_trans1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_78]), c_0_79])).
cnf(c_0_86, negated_conjecture, (~v1_xboole_0(k4_finseq_1(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_81]), c_0_74])]), c_0_64])).
fof(c_0_87, plain, ![X30]:(~l4_struct_0(X30)|(v6_struct_0(X30)|~v7_struct_0(X30))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_82])])).
cnf(c_0_88, plain, (v7_struct_0(X1)|~l1_struct_0(X1)|~v2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_89, negated_conjecture, (v2_struct_0(k2_vectsp_1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_85]), c_0_63])]), c_0_86])).
cnf(c_0_90, plain, (v6_struct_0(X1)|~l4_struct_0(X1)|~v7_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_87])).
cnf(c_0_91, negated_conjecture, (v7_struct_0(k2_vectsp_1)|~l1_struct_0(k2_vectsp_1)), inference(spm,[status(thm)],[c_0_88, c_0_89])).
fof(c_0_92, plain, ![X38]:((l4_algstr_0(X38)|~l5_algstr_0(X38))&(l4_struct_0(X38)|~l5_algstr_0(X38))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l5_algstr_0])])])).
fof(c_0_93, plain, ![X36]:(~l3_algstr_0(X36)|l1_struct_0(X36)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_algstr_0])])).
fof(c_0_94, plain, ![X37]:((l3_struct_0(X37)|~l4_algstr_0(X37))&(l3_algstr_0(X37)|~l4_algstr_0(X37))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l4_algstr_0])])])).
cnf(c_0_95, negated_conjecture, (~l4_struct_0(k2_vectsp_1)|~l1_struct_0(k2_vectsp_1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_91]), c_0_55])).
cnf(c_0_96, plain, (l4_struct_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_92])).
cnf(c_0_97, plain, (l1_struct_0(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_93])).
cnf(c_0_98, plain, (l3_algstr_0(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_94])).
cnf(c_0_99, negated_conjecture, (~l5_algstr_0(k2_vectsp_1)|~l1_struct_0(k2_vectsp_1)), inference(spm,[status(thm)],[c_0_95, c_0_96])).
cnf(c_0_100, plain, (l1_struct_0(X1)|~l4_algstr_0(X1)), inference(spm,[status(thm)],[c_0_97, c_0_98])).
cnf(c_0_101, plain, (l4_algstr_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_92])).
fof(c_0_102, plain, ![X39]:((l2_algstr_0(X39)|~l6_algstr_0(X39))&(l5_algstr_0(X39)|~l6_algstr_0(X39))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
cnf(c_0_103, negated_conjecture, (~l5_algstr_0(k2_vectsp_1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_100]), c_0_101])).
cnf(c_0_104, plain, (l5_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_102])).
cnf(c_0_105, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_104]), c_0_54])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 106
# Proof object clause steps            : 64
# Proof object formula steps           : 42
# Proof object conjectures             : 22
# Proof object clause conjectures      : 19
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 33
# Proof object initial formulas used   : 19
# Proof object generating inferences   : 29
# Proof object simplifying inferences  : 32
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 19
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 45
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 45
# Processed clauses                    : 122
# ...of these trivial                  : 2
# ...subsumed                          : 1
# ...remaining for further processing  : 119
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 4
# Generated clauses                    : 40
# ...of the previous two non-trivial   : 38
# Contextual simplify-reflections      : 5
# Paramodulations                      : 38
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 2
# 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  : 68
#    Positive orientable unit clauses  : 21
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 5
#    Non-unit-clauses                  : 42
# Current number of unprocessed clauses: 4
# ...number of literals in the above   : 22
# Current number of archived formulas  : 0
# Current number of archived clauses   : 49
# Clause-clause subsumption calls (NU) : 1957
# Rec. Clause-clause subsumption calls : 590
# Non-unit clause-clause subsumptions  : 7
# Unit Clause-clause subsumption calls : 71
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 4583

# -------------------------------------------------
# User time                : 0.036 s
# System time              : 0.000 s
# Total time               : 0.036 s
# Maximum resident set size: 3316 pages
