# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
# and selection function PSelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.030 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc4_relset_1, axiom, ![X1, X2]:(v1_xboole_0(X1)=>![X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X1)))=>v1_xboole_0(X3))), file('e_trans1/e_trans1__t4_e_trans1', cc4_relset_1)).
fof(dt_m2_finseq_1, axiom, ![X1, X2]:(m2_finseq_1(X2,X1)=>((v1_funct_1(X2)&v1_finseq_1(X2))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X1))))), file('e_trans1/e_trans1__t4_e_trans1', dt_m2_finseq_1)).
fof(t4_e_trans1, conjecture, ![X1]:((((((((((~(v2_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]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:((~(v1_xboole_0(X3))&m2_finseq_1(X3,u1_struct_0(X1)))=>(![X4]:(v7_ordinal1(X4)=>(r2_tarski(X4,k4_finseq_1(X3))=>r2_gcd_1(X1,X2,k7_partfun1(u1_struct_0(X1),X3,X4))))=>r2_gcd_1(X1,X2,k4_rlvect_1(X1,X3)))))), file('e_trans1/e_trans1__t4_e_trans1', t4_e_trans1)).
fof(dt_k6_domain_1, axiom, ![X1, X2]:((~(v1_xboole_0(X1))&m1_subset_1(X2,X1))=>m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1))), file('e_trans1/e_trans1__t4_e_trans1', dt_k6_domain_1)).
fof(dt_k7_ideal_1, axiom, ![X1, X2]:(((~(v2_struct_0(X1))&l6_algstr_0(X1))&m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))))=>((((~(v1_xboole_0(k7_ideal_1(X1,X2)))&v1_ideal_1(k7_ideal_1(X1,X2),X1))&v2_ideal_1(k7_ideal_1(X1,X2),X1))&v3_ideal_1(k7_ideal_1(X1,X2),X1))&m1_subset_1(k7_ideal_1(X1,X2),k1_zfmisc_1(u1_struct_0(X1))))), file('e_trans1/e_trans1__t4_e_trans1', dt_k7_ideal_1)).
fof(t3_e_trans1, axiom, ![X1]:((((((((((~(v2_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))&v1_ideal_1(X2,X1))&v2_ideal_1(X2,X1))&v3_ideal_1(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))))=>![X3]:(m2_finseq_1(X3,u1_struct_0(X1))=>(![X4]:(v7_ordinal1(X4)=>(r2_tarski(X4,k4_finseq_1(X3))=>r2_tarski(k1_funct_1(X3,X4),X2)))=>r2_tarski(k4_rlvect_1(X1,X3),X2))))), file('e_trans1/e_trans1__t4_e_trans1', t3_e_trans1)).
fof(d6_partfun1, axiom, ![X1, X2]:(((v1_relat_1(X2)&v5_relat_1(X2,X1))&v1_funct_1(X2))=>![X3]:(r2_hidden(X3,k9_xtuple_0(X2))=>k7_partfun1(X1,X2,X3)=k1_funct_1(X2,X3))), file('e_trans1/e_trans1__t4_e_trans1', d6_partfun1)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('e_trans1/e_trans1__t4_e_trans1', redefinition_r2_tarski)).
fof(cc1_relset_1, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>v1_relat_1(X3)), file('e_trans1/e_trans1__t4_e_trans1', cc1_relset_1)).
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__t4_e_trans1', redefinition_k4_finseq_1)).
fof(t18_ring_2, axiom, ![X1]:((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(r2_gcd_1(X1,X2,X3)<=>r2_tarski(X3,k7_ideal_1(X1,k6_domain_1(u1_struct_0(X1),X2))))))), file('e_trans1/e_trans1__t4_e_trans1', t18_ring_2)).
fof(cc3_finseq_1, axiom, ![X1, X2]:(m1_finseq_1(X2,X1)=>v5_relat_1(X2,X1)), file('e_trans1/e_trans1__t4_e_trans1', cc3_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__t4_e_trans1', redefinition_m2_finseq_1)).
fof(dt_k7_partfun1, axiom, ![X1, X2, X3]:(((v1_relat_1(X2)&v5_relat_1(X2,X1))&v1_funct_1(X2))=>m1_subset_1(k7_partfun1(X1,X2,X3),X1)), file('e_trans1/e_trans1__t4_e_trans1', dt_k7_partfun1)).
fof(t7_boole, axiom, ![X1, X2]:~((r2_tarski(X1,X2)&v1_xboole_0(X2))), file('e_trans1/e_trans1__t4_e_trans1', t7_boole)).
fof(dt_k4_rlvect_1, axiom, ![X1, X2]:((((((~(v2_struct_0(X1))&l2_algstr_0(X1))&v1_relat_1(X2))&v5_relat_1(X2,u1_struct_0(X1)))&v1_funct_1(X2))&v1_finseq_1(X2))=>m1_subset_1(k4_rlvect_1(X1,X2),u1_struct_0(X1))), file('e_trans1/e_trans1__t4_e_trans1', dt_k4_rlvect_1)).
fof(dt_l6_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(l2_algstr_0(X1)&l5_algstr_0(X1))), file('e_trans1/e_trans1__t4_e_trans1', dt_l6_algstr_0)).
fof(c_0_17, plain, ![X57, X58, X59]:(~v1_xboole_0(X57)|(~m1_subset_1(X59,k1_zfmisc_1(k2_zfmisc_1(X58,X57)))|v1_xboole_0(X59))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_relset_1])])])).
fof(c_0_18, plain, ![X73, X74]:(((v1_funct_1(X74)|~m2_finseq_1(X74,X73))&(v1_finseq_1(X74)|~m2_finseq_1(X74,X73)))&(m1_subset_1(X74,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X73)))|~m2_finseq_1(X74,X73))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_finseq_1])])])).
fof(c_0_19, negated_conjecture, ~(![X1]:((((((((((~v2_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]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:((~v1_xboole_0(X3)&m2_finseq_1(X3,u1_struct_0(X1)))=>(![X4]:(v7_ordinal1(X4)=>(r2_tarski(X4,k4_finseq_1(X3))=>r2_gcd_1(X1,X2,k7_partfun1(u1_struct_0(X1),X3,X4))))=>r2_gcd_1(X1,X2,k4_rlvect_1(X1,X3))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t4_e_trans1])])).
fof(c_0_20, plain, ![X1, X2]:((~v1_xboole_0(X1)&m1_subset_1(X2,X1))=>m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1))), inference(fof_simplification,[status(thm)],[dt_k6_domain_1])).
cnf(c_0_21, plain, (v1_xboole_0(X2)|~v1_xboole_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X3,X1)))), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_22, plain, (m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X2)))|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_18])).
fof(c_0_23, negated_conjecture, ![X51]:((((((((((~v2_struct_0(esk1_0)&v13_algstr_0(esk1_0))&v3_group_1(esk1_0))&v5_group_1(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))&l6_algstr_0(esk1_0))&(m1_subset_1(esk2_0,u1_struct_0(esk1_0))&((~v1_xboole_0(esk3_0)&m2_finseq_1(esk3_0,u1_struct_0(esk1_0)))&((~v7_ordinal1(X51)|(~r2_tarski(X51,k4_finseq_1(esk3_0))|r2_gcd_1(esk1_0,esk2_0,k7_partfun1(u1_struct_0(esk1_0),esk3_0,X51))))&~r2_gcd_1(esk1_0,esk2_0,k4_rlvect_1(esk1_0,esk3_0)))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])).
fof(c_0_24, plain, ![X1, X2]:(((~v2_struct_0(X1)&l6_algstr_0(X1))&m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))))=>((((~v1_xboole_0(k7_ideal_1(X1,X2))&v1_ideal_1(k7_ideal_1(X1,X2),X1))&v2_ideal_1(k7_ideal_1(X1,X2),X1))&v3_ideal_1(k7_ideal_1(X1,X2),X1))&m1_subset_1(k7_ideal_1(X1,X2),k1_zfmisc_1(u1_struct_0(X1))))), inference(fof_simplification,[status(thm)],[dt_k7_ideal_1])).
fof(c_0_25, plain, ![X65, X66]:(v1_xboole_0(X65)|~m1_subset_1(X66,X65)|m1_subset_1(k6_domain_1(X65,X66),k1_zfmisc_1(X65))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])).
cnf(c_0_26, plain, (v1_xboole_0(X1)|~m2_finseq_1(X1,X2)|~v1_xboole_0(X2)), inference(spm,[status(thm)],[c_0_21, c_0_22])).
cnf(c_0_27, negated_conjecture, (m2_finseq_1(esk3_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_28, negated_conjecture, (~v1_xboole_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
fof(c_0_29, plain, ![X1]:((((((((((~v2_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)&v1_ideal_1(X2,X1))&v2_ideal_1(X2,X1))&v3_ideal_1(X2,X1))&m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))))=>![X3]:(m2_finseq_1(X3,u1_struct_0(X1))=>(![X4]:(v7_ordinal1(X4)=>(r2_tarski(X4,k4_finseq_1(X3))=>r2_tarski(k1_funct_1(X3,X4),X2)))=>r2_tarski(k4_rlvect_1(X1,X3),X2))))), inference(fof_simplification,[status(thm)],[t3_e_trans1])).
fof(c_0_30, plain, ![X67, X68]:(((((~v1_xboole_0(k7_ideal_1(X67,X68))|(v2_struct_0(X67)|~l6_algstr_0(X67)|~m1_subset_1(X68,k1_zfmisc_1(u1_struct_0(X67)))))&(v1_ideal_1(k7_ideal_1(X67,X68),X67)|(v2_struct_0(X67)|~l6_algstr_0(X67)|~m1_subset_1(X68,k1_zfmisc_1(u1_struct_0(X67))))))&(v2_ideal_1(k7_ideal_1(X67,X68),X67)|(v2_struct_0(X67)|~l6_algstr_0(X67)|~m1_subset_1(X68,k1_zfmisc_1(u1_struct_0(X67))))))&(v3_ideal_1(k7_ideal_1(X67,X68),X67)|(v2_struct_0(X67)|~l6_algstr_0(X67)|~m1_subset_1(X68,k1_zfmisc_1(u1_struct_0(X67))))))&(m1_subset_1(k7_ideal_1(X67,X68),k1_zfmisc_1(u1_struct_0(X67)))|(v2_struct_0(X67)|~l6_algstr_0(X67)|~m1_subset_1(X68,k1_zfmisc_1(u1_struct_0(X67)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])).
cnf(c_0_31, plain, (v1_xboole_0(X1)|m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1))|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_32, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_33, negated_conjecture, (~v1_xboole_0(u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_28])).
fof(c_0_34, plain, ![X60, X61, X62]:(~v1_relat_1(X61)|~v5_relat_1(X61,X60)|~v1_funct_1(X61)|(~r2_hidden(X62,k9_xtuple_0(X61))|k7_partfun1(X60,X61,X62)=k1_funct_1(X61,X62))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_partfun1])])])).
fof(c_0_35, plain, ![X80, X81]:((~r2_tarski(X80,X81)|r2_hidden(X80,X81))&(~r2_hidden(X80,X81)|r2_tarski(X80,X81))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_36, plain, ![X85, X86, X87]:((v7_ordinal1(esk4_3(X85,X86,X87))|r2_tarski(k4_rlvect_1(X85,X87),X86)|~m2_finseq_1(X87,u1_struct_0(X85))|(v1_xboole_0(X86)|~v1_ideal_1(X86,X85)|~v2_ideal_1(X86,X85)|~v3_ideal_1(X86,X85)|~m1_subset_1(X86,k1_zfmisc_1(u1_struct_0(X85))))|(v2_struct_0(X85)|~v13_algstr_0(X85)|~v3_group_1(X85)|~v5_group_1(X85)|~v2_rlvect_1(X85)|~v3_rlvect_1(X85)|~v4_rlvect_1(X85)|~v4_vectsp_1(X85)|~v5_vectsp_1(X85)|~l6_algstr_0(X85)))&((r2_tarski(esk4_3(X85,X86,X87),k4_finseq_1(X87))|r2_tarski(k4_rlvect_1(X85,X87),X86)|~m2_finseq_1(X87,u1_struct_0(X85))|(v1_xboole_0(X86)|~v1_ideal_1(X86,X85)|~v2_ideal_1(X86,X85)|~v3_ideal_1(X86,X85)|~m1_subset_1(X86,k1_zfmisc_1(u1_struct_0(X85))))|(v2_struct_0(X85)|~v13_algstr_0(X85)|~v3_group_1(X85)|~v5_group_1(X85)|~v2_rlvect_1(X85)|~v3_rlvect_1(X85)|~v4_rlvect_1(X85)|~v4_vectsp_1(X85)|~v5_vectsp_1(X85)|~l6_algstr_0(X85)))&(~r2_tarski(k1_funct_1(X87,esk4_3(X85,X86,X87)),X86)|r2_tarski(k4_rlvect_1(X85,X87),X86)|~m2_finseq_1(X87,u1_struct_0(X85))|(v1_xboole_0(X86)|~v1_ideal_1(X86,X85)|~v2_ideal_1(X86,X85)|~v3_ideal_1(X86,X85)|~m1_subset_1(X86,k1_zfmisc_1(u1_struct_0(X85))))|(v2_struct_0(X85)|~v13_algstr_0(X85)|~v3_group_1(X85)|~v5_group_1(X85)|~v2_rlvect_1(X85)|~v3_rlvect_1(X85)|~v4_rlvect_1(X85)|~v4_vectsp_1(X85)|~v5_vectsp_1(X85)|~l6_algstr_0(X85))))), 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_29])])])])])).
cnf(c_0_37, plain, (m1_subset_1(k7_ideal_1(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))|v2_struct_0(X1)|~l6_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_38, negated_conjecture, (m1_subset_1(k6_domain_1(u1_struct_0(esk1_0),esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_33])).
cnf(c_0_39, negated_conjecture, (l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_40, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_41, plain, (v3_ideal_1(k7_ideal_1(X1,X2),X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_42, plain, (v2_ideal_1(k7_ideal_1(X1,X2),X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_43, plain, (v1_ideal_1(k7_ideal_1(X1,X2),X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))), inference(split_conjunct,[status(thm)],[c_0_30])).
fof(c_0_44, plain, ![X52, X53, X54]:(~m1_subset_1(X54,k1_zfmisc_1(k2_zfmisc_1(X52,X53)))|v1_relat_1(X54)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])).
cnf(c_0_45, plain, (k7_partfun1(X2,X1,X3)=k1_funct_1(X1,X3)|~v1_relat_1(X1)|~v5_relat_1(X1,X2)|~v1_funct_1(X1)|~r2_hidden(X3,k9_xtuple_0(X1))), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_46, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_35])).
fof(c_0_47, plain, ![X75]:(~v1_relat_1(X75)|~v1_funct_1(X75)|~v1_finseq_1(X75)|k4_finseq_1(X75)=k9_xtuple_0(X75)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_finseq_1])])).
cnf(c_0_48, plain, (r2_tarski(esk4_3(X1,X2,X3),k4_finseq_1(X3))|r2_tarski(k4_rlvect_1(X1,X3),X2)|v1_xboole_0(X2)|v2_struct_0(X1)|~m2_finseq_1(X3,u1_struct_0(X1))|~v1_ideal_1(X2,X1)|~v2_ideal_1(X2,X1)|~v3_ideal_1(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_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)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_49, negated_conjecture, (m1_subset_1(k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_39])]), c_0_40])).
cnf(c_0_50, negated_conjecture, (v3_ideal_1(k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_38]), c_0_39])]), c_0_40])).
cnf(c_0_51, negated_conjecture, (v2_ideal_1(k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_38]), c_0_39])]), c_0_40])).
cnf(c_0_52, negated_conjecture, (v1_ideal_1(k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_38]), c_0_39])]), c_0_40])).
cnf(c_0_53, negated_conjecture, (v5_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_54, negated_conjecture, (v4_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_55, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_56, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_57, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_58, negated_conjecture, (v5_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_59, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_60, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_61, plain, (v1_relat_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_44])).
fof(c_0_62, plain, ![X1]:((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(r2_gcd_1(X1,X2,X3)<=>r2_tarski(X3,k7_ideal_1(X1,k6_domain_1(u1_struct_0(X1),X2))))))), inference(fof_simplification,[status(thm)],[t18_ring_2])).
cnf(c_0_63, plain, (k7_partfun1(X1,X2,X3)=k1_funct_1(X2,X3)|~v1_funct_1(X2)|~v5_relat_1(X2,X1)|~v1_relat_1(X2)|~r2_tarski(X3,k9_xtuple_0(X2))), inference(spm,[status(thm)],[c_0_45, c_0_46])).
cnf(c_0_64, 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_47])).
cnf(c_0_65, negated_conjecture, (r2_tarski(esk4_3(esk1_0,k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),X1),k4_finseq_1(X1))|r2_tarski(k4_rlvect_1(esk1_0,X1),k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))|v1_xboole_0(k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))|~m2_finseq_1(X1,u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_39]), c_0_53]), c_0_54]), c_0_55]), c_0_56]), c_0_57]), c_0_58]), c_0_59]), c_0_60])]), c_0_40])).
cnf(c_0_66, plain, (v1_finseq_1(X1)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_67, plain, (v1_funct_1(X1)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_68, plain, (v1_relat_1(X1)|~m2_finseq_1(X1,X2)), inference(spm,[status(thm)],[c_0_61, c_0_22])).
fof(c_0_69, plain, ![X55, X56]:(~m1_finseq_1(X56,X55)|v5_relat_1(X56,X55)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_finseq_1])])).
fof(c_0_70, plain, ![X78, X79]:((~m2_finseq_1(X79,X78)|m1_finseq_1(X79,X78))&(~m1_finseq_1(X79,X78)|m2_finseq_1(X79,X78))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_finseq_1])])).
fof(c_0_71, plain, ![X82, X83, X84]:((~r2_gcd_1(X82,X83,X84)|r2_tarski(X84,k7_ideal_1(X82,k6_domain_1(u1_struct_0(X82),X83)))|~m1_subset_1(X84,u1_struct_0(X82))|~m1_subset_1(X83,u1_struct_0(X82))|(v2_struct_0(X82)|~v13_algstr_0(X82)|~v4_vectsp_1(X82)|~v5_vectsp_1(X82)|~v2_rlvect_1(X82)|~v3_rlvect_1(X82)|~v4_rlvect_1(X82)|~v3_group_1(X82)|~v5_group_1(X82)|~l6_algstr_0(X82)))&(~r2_tarski(X84,k7_ideal_1(X82,k6_domain_1(u1_struct_0(X82),X83)))|r2_gcd_1(X82,X83,X84)|~m1_subset_1(X84,u1_struct_0(X82))|~m1_subset_1(X83,u1_struct_0(X82))|(v2_struct_0(X82)|~v13_algstr_0(X82)|~v4_vectsp_1(X82)|~v5_vectsp_1(X82)|~v2_rlvect_1(X82)|~v3_rlvect_1(X82)|~v4_rlvect_1(X82)|~v3_group_1(X82)|~v5_group_1(X82)|~l6_algstr_0(X82)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])])])).
fof(c_0_72, plain, ![X69, X70, X71]:(~v1_relat_1(X70)|~v5_relat_1(X70,X69)|~v1_funct_1(X70)|m1_subset_1(k7_partfun1(X69,X70,X71),X69)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_partfun1])])).
cnf(c_0_73, plain, (k7_partfun1(X1,X2,X3)=k1_funct_1(X2,X3)|~v1_finseq_1(X2)|~v1_funct_1(X2)|~v5_relat_1(X2,X1)|~v1_relat_1(X2)|~r2_tarski(X3,k4_finseq_1(X2))), inference(spm,[status(thm)],[c_0_63, c_0_64])).
cnf(c_0_74, negated_conjecture, (r2_tarski(esk4_3(esk1_0,k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),esk3_0),k4_finseq_1(esk3_0))|r2_tarski(k4_rlvect_1(esk1_0,esk3_0),k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))|v1_xboole_0(k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))), inference(spm,[status(thm)],[c_0_65, c_0_27])).
cnf(c_0_75, negated_conjecture, (v1_finseq_1(esk3_0)), inference(spm,[status(thm)],[c_0_66, c_0_27])).
cnf(c_0_76, negated_conjecture, (v1_funct_1(esk3_0)), inference(spm,[status(thm)],[c_0_67, c_0_27])).
cnf(c_0_77, negated_conjecture, (v1_relat_1(esk3_0)), inference(spm,[status(thm)],[c_0_68, c_0_27])).
cnf(c_0_78, plain, (v5_relat_1(X1,X2)|~m1_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_69])).
cnf(c_0_79, plain, (m1_finseq_1(X1,X2)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_70])).
cnf(c_0_80, plain, (r2_tarski(X3,k7_ideal_1(X1,k6_domain_1(u1_struct_0(X1),X2)))|v2_struct_0(X1)|~r2_gcd_1(X1,X2,X3)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_81, plain, (m1_subset_1(k7_partfun1(X2,X1,X3),X2)|~v1_relat_1(X1)|~v5_relat_1(X1,X2)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_72])).
cnf(c_0_82, negated_conjecture, (k7_partfun1(X1,esk3_0,esk4_3(esk1_0,k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),esk3_0))=k1_funct_1(esk3_0,esk4_3(esk1_0,k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),esk3_0))|r2_tarski(k4_rlvect_1(esk1_0,esk3_0),k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))|v1_xboole_0(k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))|~v5_relat_1(esk3_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_74]), c_0_75]), c_0_76]), c_0_77])])).
cnf(c_0_83, plain, (v5_relat_1(X1,X2)|~m2_finseq_1(X1,X2)), inference(spm,[status(thm)],[c_0_78, c_0_79])).
cnf(c_0_84, plain, (v7_ordinal1(esk4_3(X1,X2,X3))|r2_tarski(k4_rlvect_1(X1,X3),X2)|v1_xboole_0(X2)|v2_struct_0(X1)|~m2_finseq_1(X3,u1_struct_0(X1))|~v1_ideal_1(X2,X1)|~v2_ideal_1(X2,X1)|~v3_ideal_1(X2,X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_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)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_85, plain, (r2_tarski(k7_partfun1(u1_struct_0(X1),X2,X3),k7_ideal_1(X1,k6_domain_1(u1_struct_0(X1),X4)))|v2_struct_0(X1)|~v1_funct_1(X2)|~v5_relat_1(X2,u1_struct_0(X1))|~v1_relat_1(X2)|~r2_gcd_1(X1,X4,k7_partfun1(u1_struct_0(X1),X2,X3))|~m1_subset_1(X4,u1_struct_0(X1))|~l6_algstr_0(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_80, c_0_81])).
cnf(c_0_86, negated_conjecture, (r2_gcd_1(esk1_0,esk2_0,k7_partfun1(u1_struct_0(esk1_0),esk3_0,X1))|~v7_ordinal1(X1)|~r2_tarski(X1,k4_finseq_1(esk3_0))), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_87, negated_conjecture, (k7_partfun1(X1,esk3_0,esk4_3(esk1_0,k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),esk3_0))=k1_funct_1(esk3_0,esk4_3(esk1_0,k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),esk3_0))|r2_tarski(k4_rlvect_1(esk1_0,esk3_0),k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))|v1_xboole_0(k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))|~m2_finseq_1(esk3_0,X1)), inference(spm,[status(thm)],[c_0_82, c_0_83])).
cnf(c_0_88, negated_conjecture, (r2_tarski(k4_rlvect_1(esk1_0,X1),k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))|v7_ordinal1(esk4_3(esk1_0,k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),X1))|v1_xboole_0(k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))|~m2_finseq_1(X1,u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_84, c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_39]), c_0_53]), c_0_54]), c_0_55]), c_0_56]), c_0_57]), c_0_58]), c_0_59]), c_0_60])]), c_0_40])).
fof(c_0_89, plain, ![X89, X90]:(~r2_tarski(X89,X90)|~v1_xboole_0(X90)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])).
cnf(c_0_90, negated_conjecture, (r2_tarski(k7_partfun1(u1_struct_0(esk1_0),esk3_0,X1),k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))|~v5_relat_1(esk3_0,u1_struct_0(esk1_0))|~r2_tarski(X1,k4_finseq_1(esk3_0))|~v7_ordinal1(X1)), 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_86]), c_0_76]), c_0_77]), c_0_32]), c_0_39]), c_0_53]), c_0_54]), c_0_55]), c_0_56]), c_0_57]), c_0_58]), c_0_59]), c_0_60])]), c_0_40])).
cnf(c_0_91, negated_conjecture, (k7_partfun1(u1_struct_0(esk1_0),esk3_0,esk4_3(esk1_0,k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),esk3_0))=k1_funct_1(esk3_0,esk4_3(esk1_0,k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),esk3_0))|r2_tarski(k4_rlvect_1(esk1_0,esk3_0),k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))|v1_xboole_0(k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))), inference(spm,[status(thm)],[c_0_87, c_0_27])).
cnf(c_0_92, negated_conjecture, (r2_tarski(k4_rlvect_1(esk1_0,esk3_0),k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))|v7_ordinal1(esk4_3(esk1_0,k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),esk3_0))|v1_xboole_0(k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))), inference(spm,[status(thm)],[c_0_88, c_0_27])).
cnf(c_0_93, plain, (r2_tarski(k4_rlvect_1(X2,X1),X3)|v1_xboole_0(X3)|v2_struct_0(X2)|~r2_tarski(k1_funct_1(X1,esk4_3(X2,X3,X1)),X3)|~m2_finseq_1(X1,u1_struct_0(X2))|~v1_ideal_1(X3,X2)|~v2_ideal_1(X3,X2)|~v3_ideal_1(X3,X2)|~m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))|~v13_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)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_94, plain, (~r2_tarski(X1,X2)|~v1_xboole_0(X2)), inference(split_conjunct,[status(thm)],[c_0_89])).
cnf(c_0_95, negated_conjecture, (r2_tarski(k1_funct_1(esk3_0,esk4_3(esk1_0,k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),esk3_0)),k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))|r2_tarski(k4_rlvect_1(esk1_0,esk3_0),k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))|v1_xboole_0(k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))|~v5_relat_1(esk3_0,u1_struct_0(esk1_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_91]), c_0_92]), c_0_74])).
fof(c_0_96, plain, ![X1, X2]:((((((~v2_struct_0(X1)&l2_algstr_0(X1))&v1_relat_1(X2))&v5_relat_1(X2,u1_struct_0(X1)))&v1_funct_1(X2))&v1_finseq_1(X2))=>m1_subset_1(k4_rlvect_1(X1,X2),u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[dt_k4_rlvect_1])).
cnf(c_0_97, plain, (r2_tarski(k4_rlvect_1(X1,X2),X3)|v2_struct_0(X1)|~v3_ideal_1(X3,X1)|~v2_ideal_1(X3,X1)|~v1_ideal_1(X3,X1)|~r2_tarski(k1_funct_1(X2,esk4_3(X1,X3,X2)),X3)|~m2_finseq_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))|~l6_algstr_0(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[c_0_93, c_0_94])).
cnf(c_0_98, negated_conjecture, (r2_tarski(k1_funct_1(esk3_0,esk4_3(esk1_0,k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),esk3_0)),k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))|r2_tarski(k4_rlvect_1(esk1_0,esk3_0),k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))|v1_xboole_0(k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_83]), c_0_27])])).
fof(c_0_99, plain, ![X63, X64]:(v2_struct_0(X63)|~l2_algstr_0(X63)|~v1_relat_1(X64)|~v5_relat_1(X64,u1_struct_0(X63))|~v1_funct_1(X64)|~v1_finseq_1(X64)|m1_subset_1(k4_rlvect_1(X63,X64),u1_struct_0(X63))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_96])])).
cnf(c_0_100, plain, (r2_gcd_1(X2,X3,X1)|v2_struct_0(X2)|~r2_tarski(X1,k7_ideal_1(X2,k6_domain_1(u1_struct_0(X2),X3)))|~m1_subset_1(X1,u1_struct_0(X2))|~m1_subset_1(X3,u1_struct_0(X2))|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_101, negated_conjecture, (r2_tarski(k4_rlvect_1(esk1_0,esk3_0),k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))|v1_xboole_0(k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_97, c_0_98]), c_0_50]), c_0_51]), c_0_52]), c_0_27]), c_0_49]), c_0_39]), c_0_53]), c_0_54]), c_0_55]), c_0_56]), c_0_57]), c_0_58]), c_0_59]), c_0_60])]), c_0_40])).
cnf(c_0_102, negated_conjecture, (~r2_gcd_1(esk1_0,esk2_0,k4_rlvect_1(esk1_0,esk3_0))), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_103, plain, (v2_struct_0(X1)|m1_subset_1(k4_rlvect_1(X1,X2),u1_struct_0(X1))|~l2_algstr_0(X1)|~v1_relat_1(X2)|~v5_relat_1(X2,u1_struct_0(X1))|~v1_funct_1(X2)|~v1_finseq_1(X2)), inference(split_conjunct,[status(thm)],[c_0_99])).
cnf(c_0_104, plain, (v2_struct_0(X1)|~v1_xboole_0(k7_ideal_1(X1,X2))|~l6_algstr_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_105, negated_conjecture, (v1_xboole_0(k7_ideal_1(esk1_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)))|~m1_subset_1(k4_rlvect_1(esk1_0,esk3_0),u1_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(spm,[status(thm)],[c_0_100, c_0_101]), c_0_32]), c_0_39]), c_0_53]), c_0_54]), c_0_55]), c_0_56]), c_0_57]), c_0_58]), c_0_59]), c_0_60])]), c_0_102]), c_0_40])).
cnf(c_0_106, plain, (m1_subset_1(k4_rlvect_1(X1,X2),u1_struct_0(X1))|v2_struct_0(X1)|~l2_algstr_0(X1)|~m2_finseq_1(X2,u1_struct_0(X1))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_83]), c_0_68]), c_0_67]), c_0_66])).
cnf(c_0_107, negated_conjecture, (~m1_subset_1(k4_rlvect_1(esk1_0,esk3_0),u1_struct_0(esk1_0))), inference(sr,[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_38]), c_0_39])]), c_0_40])).
cnf(c_0_108, negated_conjecture, (m1_subset_1(k4_rlvect_1(esk1_0,esk3_0),u1_struct_0(esk1_0))|~l2_algstr_0(esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_27]), c_0_40])).
fof(c_0_109, plain, ![X72]:((l2_algstr_0(X72)|~l6_algstr_0(X72))&(l5_algstr_0(X72)|~l6_algstr_0(X72))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
cnf(c_0_110, negated_conjecture, (~l2_algstr_0(esk1_0)), inference(spm,[status(thm)],[c_0_107, c_0_108])).
cnf(c_0_111, plain, (l2_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_109])).
cnf(c_0_112, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_111]), c_0_39])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 113
# Proof object clause steps            : 73
# Proof object formula steps           : 40
# Proof object conjectures             : 43
# Proof object clause conjectures      : 40
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 40
# Proof object initial formulas used   : 17
# Proof object generating inferences   : 32
# Proof object simplifying inferences  : 104
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 18
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 44
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 44
# Processed clauses                    : 618
# ...of these trivial                  : 0
# ...subsumed                          : 118
# ...remaining for further processing  : 500
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 52
# Backward-rewritten                   : 0
# Generated clauses                    : 957
# ...of the previous two non-trivial   : 950
# Contextual simplify-reflections      : 69
# Paramodulations                      : 957
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 0
# 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  : 448
#    Positive orientable unit clauses  : 94
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 6
#    Non-unit-clauses                  : 348
# Current number of unprocessed clauses: 373
# ...number of literals in the above   : 1675
# Current number of archived formulas  : 0
# Current number of archived clauses   : 52
# Clause-clause subsumption calls (NU) : 70380
# Rec. Clause-clause subsumption calls : 14363
# Non-unit clause-clause subsumptions  : 238
# Unit Clause-clause subsumption calls : 878
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 824
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 60662

# -------------------------------------------------
# User time                : 0.127 s
# System time              : 0.000 s
# Total time               : 0.127 s
# Maximum resident set size: 3392 pages
