# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___300_C18_F1_URBAN_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.022 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d10_gr_free0, axiom, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(k3_gr_free0(X1,X2)))=>k11_gr_free0(X1,X2,X3)=k10_gr_free0(X1,X2,k4_gr_free0(X1,X2),k7_gr_free0(X1,X2,X3),k9_gr_free0(X1,X2,k4_gr_free0(X1,X2),k8_gr_free0(X1,X2)))))), file('gr_free0/gr_free0__t67_gr_free0', d10_gr_free0)).
fof(t61_gr_free0, axiom, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>k7_gr_free0(X1,X2,k1_group_1(k4_gr_free0(X1,X2)))=k1_xboole_0)), file('gr_free0/gr_free0__t67_gr_free0', t61_gr_free0)).
fof(redefinition_k10_gr_free0, axiom, ![X1, X2, X3, X4, X5]:((((((((((((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&~(v2_struct_0(X3)))&v2_group_1(X3))&v3_group_1(X3))&l3_algstr_0(X3))&m1_finseq_1(X4,k1_gr_free0(X2)))&v1_funct_1(X5))&v1_funct_2(X5,k1_gr_free0(X2),u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k1_gr_free0(X2),u1_struct_0(X3)))))=>k10_gr_free0(X1,X2,X3,X4,X5)=k3_relat_1(X4,X5)), file('gr_free0/gr_free0__t67_gr_free0', redefinition_k10_gr_free0)).
fof(dt_k9_gr_free0, axiom, ![X1, X2, X3, X4]:(((((((((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&~(v2_struct_0(X3)))&v2_group_1(X3))&v3_group_1(X3))&l3_algstr_0(X3))&m1_gr_free0(X4,X1,X2,X3))=>((v1_funct_1(k9_gr_free0(X1,X2,X3,X4))&v1_funct_2(k9_gr_free0(X1,X2,X3,X4),k1_gr_free0(X2),u1_struct_0(X3)))&m1_subset_1(k9_gr_free0(X1,X2,X3,X4),k1_zfmisc_1(k2_zfmisc_1(k1_gr_free0(X2),u1_struct_0(X3)))))), file('gr_free0/gr_free0__t67_gr_free0', dt_k9_gr_free0)).
fof(t6_boole, axiom, ![X1]:(v1_xboole_0(X1)=>X1=k1_xboole_0), file('gr_free0/gr_free0__t67_gr_free0', t6_boole)).
fof(rc3_finseq_1, axiom, ![X1]:?[X2]:((((((m1_finseq_1(X2,X1)&v1_relat_1(X2))&v5_relat_1(X2,X1))&v1_funct_1(X2))&v1_xboole_0(X2))&v1_finset_1(X2))&v1_finseq_1(X2)), file('gr_free0/gr_free0__t67_gr_free0', rc3_finseq_1)).
fof(dt_k4_gr_free0, axiom, ![X1, X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>((((~(v2_struct_0(k4_gr_free0(X1,X2)))&v15_algstr_0(k4_gr_free0(X1,X2)))&v2_group_1(k4_gr_free0(X1,X2)))&v3_group_1(k4_gr_free0(X1,X2)))&l3_algstr_0(k4_gr_free0(X1,X2)))), file('gr_free0/gr_free0__t67_gr_free0', dt_k4_gr_free0)).
fof(dt_k8_gr_free0, axiom, ![X1, X2]:((((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>m1_gr_free0(k8_gr_free0(X1,X2),X1,X2,k4_gr_free0(X1,X2))), file('gr_free0/gr_free0__t67_gr_free0', dt_k8_gr_free0)).
fof(redefinition_k4_gr_free0, axiom, ![X1, X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>k4_gr_free0(X1,X2)=k3_gr_free0(X1,X2)), file('gr_free0/gr_free0__t67_gr_free0', redefinition_k4_gr_free0)).
fof(fc12_relat_1, axiom, ![X1, X2]:((v1_xboole_0(X1)&v1_relat_1(X2))=>(v1_xboole_0(k3_relat_1(X1,X2))&v1_relat_1(k3_relat_1(X1,X2)))), file('gr_free0/gr_free0__t67_gr_free0', fc12_relat_1)).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0), file('gr_free0/gr_free0__t67_gr_free0', fc1_xboole_0)).
fof(dt_k1_group_1, axiom, ![X1]:(l3_algstr_0(X1)=>m1_subset_1(k1_group_1(X1),u1_struct_0(X1))), file('gr_free0/gr_free0__t67_gr_free0', dt_k1_group_1)).
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('gr_free0/gr_free0__t67_gr_free0', cc1_relset_1)).
fof(t67_gr_free0, conjecture, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>k11_gr_free0(X1,X2,k1_group_1(k4_gr_free0(X1,X2)))=k1_xboole_0)), file('gr_free0/gr_free0__t67_gr_free0', t67_gr_free0)).
fof(c_0_14, plain, ![X1]:(~v1_xboole_0(X1)=>![X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(k3_gr_free0(X1,X2)))=>k11_gr_free0(X1,X2,X3)=k10_gr_free0(X1,X2,k4_gr_free0(X1,X2),k7_gr_free0(X1,X2,X3),k9_gr_free0(X1,X2,k4_gr_free0(X1,X2),k8_gr_free0(X1,X2)))))), inference(fof_simplification,[status(thm)],[d10_gr_free0])).
fof(c_0_15, plain, ![X1]:(~v1_xboole_0(X1)=>![X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>k7_gr_free0(X1,X2,k1_group_1(k4_gr_free0(X1,X2)))=k1_xboole_0)), inference(fof_simplification,[status(thm)],[t61_gr_free0])).
fof(c_0_16, plain, ![X1, X2, X3, X4, X5]:((((((((((((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&~v2_struct_0(X3))&v2_group_1(X3))&v3_group_1(X3))&l3_algstr_0(X3))&m1_finseq_1(X4,k1_gr_free0(X2)))&v1_funct_1(X5))&v1_funct_2(X5,k1_gr_free0(X2),u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k1_gr_free0(X2),u1_struct_0(X3)))))=>k10_gr_free0(X1,X2,X3,X4,X5)=k3_relat_1(X4,X5)), inference(fof_simplification,[status(thm)],[redefinition_k10_gr_free0])).
fof(c_0_17, plain, ![X1, X2, X3, X4]:(((((((((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&~v2_struct_0(X3))&v2_group_1(X3))&v3_group_1(X3))&l3_algstr_0(X3))&m1_gr_free0(X4,X1,X2,X3))=>((v1_funct_1(k9_gr_free0(X1,X2,X3,X4))&v1_funct_2(k9_gr_free0(X1,X2,X3,X4),k1_gr_free0(X2),u1_struct_0(X3)))&m1_subset_1(k9_gr_free0(X1,X2,X3,X4),k1_zfmisc_1(k2_zfmisc_1(k1_gr_free0(X2),u1_struct_0(X3)))))), inference(fof_simplification,[status(thm)],[dt_k9_gr_free0])).
fof(c_0_18, plain, ![X67]:(~v1_xboole_0(X67)|X67=k1_xboole_0), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])])).
fof(c_0_19, plain, ![X56]:((((((m1_finseq_1(esk3_1(X56),X56)&v1_relat_1(esk3_1(X56)))&v5_relat_1(esk3_1(X56),X56))&v1_funct_1(esk3_1(X56)))&v1_xboole_0(esk3_1(X56)))&v1_finset_1(esk3_1(X56)))&v1_finseq_1(esk3_1(X56))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_finseq_1])])).
fof(c_0_20, plain, ![X42, X43, X44]:(v1_xboole_0(X42)|(~v1_relat_1(X43)|~v4_relat_1(X43,X42)|~v1_funct_1(X43)|~v1_partfun1(X43,X42)|~v1_group_7(X43)|~v2_group_7(X43,X42)|~v3_group_7(X43,X42)|(~m1_subset_1(X44,u1_struct_0(k3_gr_free0(X42,X43)))|k11_gr_free0(X42,X43,X44)=k10_gr_free0(X42,X43,k4_gr_free0(X42,X43),k7_gr_free0(X42,X43,X44),k9_gr_free0(X42,X43,k4_gr_free0(X42,X43),k8_gr_free0(X42,X43)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])).
fof(c_0_21, plain, ![X65, X66]:(v1_xboole_0(X65)|(~v1_relat_1(X66)|~v4_relat_1(X66,X65)|~v1_funct_1(X66)|~v1_partfun1(X66,X65)|~v1_group_7(X66)|~v2_group_7(X66,X65)|~v3_group_7(X66,X65)|k7_gr_free0(X65,X66,k1_group_1(k4_gr_free0(X65,X66)))=k1_xboole_0)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])).
fof(c_0_22, plain, ![X58, X59, X60, X61, X62]:(v1_xboole_0(X58)|~v1_relat_1(X59)|~v4_relat_1(X59,X58)|~v1_funct_1(X59)|~v1_partfun1(X59,X58)|~v1_group_7(X59)|~v2_group_7(X59,X58)|~v3_group_7(X59,X58)|v2_struct_0(X60)|~v2_group_1(X60)|~v3_group_1(X60)|~l3_algstr_0(X60)|~m1_finseq_1(X61,k1_gr_free0(X59))|~v1_funct_1(X62)|~v1_funct_2(X62,k1_gr_free0(X59),u1_struct_0(X60))|~m1_subset_1(X62,k1_zfmisc_1(k2_zfmisc_1(k1_gr_free0(X59),u1_struct_0(X60))))|k10_gr_free0(X58,X59,X60,X61,X62)=k3_relat_1(X61,X62)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])).
fof(c_0_23, plain, ![X50, X51, X52, X53]:(((v1_funct_1(k9_gr_free0(X50,X51,X52,X53))|(v1_xboole_0(X50)|~v1_relat_1(X51)|~v4_relat_1(X51,X50)|~v1_funct_1(X51)|~v1_partfun1(X51,X50)|~v1_group_7(X51)|~v2_group_7(X51,X50)|~v3_group_7(X51,X50)|v2_struct_0(X52)|~v2_group_1(X52)|~v3_group_1(X52)|~l3_algstr_0(X52)|~m1_gr_free0(X53,X50,X51,X52)))&(v1_funct_2(k9_gr_free0(X50,X51,X52,X53),k1_gr_free0(X51),u1_struct_0(X52))|(v1_xboole_0(X50)|~v1_relat_1(X51)|~v4_relat_1(X51,X50)|~v1_funct_1(X51)|~v1_partfun1(X51,X50)|~v1_group_7(X51)|~v2_group_7(X51,X50)|~v3_group_7(X51,X50)|v2_struct_0(X52)|~v2_group_1(X52)|~v3_group_1(X52)|~l3_algstr_0(X52)|~m1_gr_free0(X53,X50,X51,X52))))&(m1_subset_1(k9_gr_free0(X50,X51,X52,X53),k1_zfmisc_1(k2_zfmisc_1(k1_gr_free0(X51),u1_struct_0(X52))))|(v1_xboole_0(X50)|~v1_relat_1(X51)|~v4_relat_1(X51,X50)|~v1_funct_1(X51)|~v1_partfun1(X51,X50)|~v1_group_7(X51)|~v2_group_7(X51,X50)|~v3_group_7(X51,X50)|v2_struct_0(X52)|~v2_group_1(X52)|~v3_group_1(X52)|~l3_algstr_0(X52)|~m1_gr_free0(X53,X50,X51,X52)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])).
cnf(c_0_24, plain, (X1=k1_xboole_0|~v1_xboole_0(X1)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_25, plain, (v1_xboole_0(esk3_1(X1))), inference(split_conjunct,[status(thm)],[c_0_19])).
fof(c_0_26, plain, ![X1, X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>((((~v2_struct_0(k4_gr_free0(X1,X2))&v15_algstr_0(k4_gr_free0(X1,X2)))&v2_group_1(k4_gr_free0(X1,X2)))&v3_group_1(k4_gr_free0(X1,X2)))&l3_algstr_0(k4_gr_free0(X1,X2)))), inference(fof_simplification,[status(thm)],[dt_k4_gr_free0])).
fof(c_0_27, plain, ![X1, X2]:((((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>m1_gr_free0(k8_gr_free0(X1,X2),X1,X2,k4_gr_free0(X1,X2))), inference(fof_simplification,[status(thm)],[dt_k8_gr_free0])).
cnf(c_0_28, plain, (v1_xboole_0(X1)|k11_gr_free0(X1,X2,X3)=k10_gr_free0(X1,X2,k4_gr_free0(X1,X2),k7_gr_free0(X1,X2,X3),k9_gr_free0(X1,X2,k4_gr_free0(X1,X2),k8_gr_free0(X1,X2)))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,u1_struct_0(k3_gr_free0(X1,X2)))), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_29, plain, (v1_xboole_0(X1)|k7_gr_free0(X1,X2,k1_group_1(k4_gr_free0(X1,X2)))=k1_xboole_0|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_30, plain, (v1_xboole_0(X1)|v2_struct_0(X3)|k10_gr_free0(X1,X2,X3,X4,X5)=k3_relat_1(X4,X5)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~m1_finseq_1(X4,k1_gr_free0(X2))|~v1_funct_1(X5)|~v1_funct_2(X5,k1_gr_free0(X2),u1_struct_0(X3))|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(k1_gr_free0(X2),u1_struct_0(X3))))), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_31, plain, (m1_subset_1(k9_gr_free0(X1,X2,X3,X4),k1_zfmisc_1(k2_zfmisc_1(k1_gr_free0(X2),u1_struct_0(X3))))|v1_xboole_0(X1)|v2_struct_0(X3)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~m1_gr_free0(X4,X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_32, plain, (v1_funct_1(k9_gr_free0(X1,X2,X3,X4))|v1_xboole_0(X1)|v2_struct_0(X3)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~m1_gr_free0(X4,X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_33, plain, (v1_funct_2(k9_gr_free0(X1,X2,X3,X4),k1_gr_free0(X2),u1_struct_0(X3))|v1_xboole_0(X1)|v2_struct_0(X3)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~m1_gr_free0(X4,X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_34, plain, (m1_finseq_1(esk3_1(X1),X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_35, plain, (esk3_1(X1)=k1_xboole_0), inference(spm,[status(thm)],[c_0_24, c_0_25])).
fof(c_0_36, plain, ![X46, X47]:(((((~v2_struct_0(k4_gr_free0(X46,X47))|(~v1_relat_1(X47)|~v4_relat_1(X47,X46)|~v1_funct_1(X47)|~v1_partfun1(X47,X46)|~v1_group_7(X47)|~v2_group_7(X47,X46)|~v3_group_7(X47,X46)))&(v15_algstr_0(k4_gr_free0(X46,X47))|(~v1_relat_1(X47)|~v4_relat_1(X47,X46)|~v1_funct_1(X47)|~v1_partfun1(X47,X46)|~v1_group_7(X47)|~v2_group_7(X47,X46)|~v3_group_7(X47,X46))))&(v2_group_1(k4_gr_free0(X46,X47))|(~v1_relat_1(X47)|~v4_relat_1(X47,X46)|~v1_funct_1(X47)|~v1_partfun1(X47,X46)|~v1_group_7(X47)|~v2_group_7(X47,X46)|~v3_group_7(X47,X46))))&(v3_group_1(k4_gr_free0(X46,X47))|(~v1_relat_1(X47)|~v4_relat_1(X47,X46)|~v1_funct_1(X47)|~v1_partfun1(X47,X46)|~v1_group_7(X47)|~v2_group_7(X47,X46)|~v3_group_7(X47,X46))))&(l3_algstr_0(k4_gr_free0(X46,X47))|(~v1_relat_1(X47)|~v4_relat_1(X47,X46)|~v1_funct_1(X47)|~v1_partfun1(X47,X46)|~v1_group_7(X47)|~v2_group_7(X47,X46)|~v3_group_7(X47,X46)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])).
fof(c_0_37, plain, ![X48, X49]:(v1_xboole_0(X48)|~v1_relat_1(X49)|~v4_relat_1(X49,X48)|~v1_funct_1(X49)|~v1_partfun1(X49,X48)|~v1_group_7(X49)|~v2_group_7(X49,X48)|~v3_group_7(X49,X48)|m1_gr_free0(k8_gr_free0(X48,X49),X48,X49,k4_gr_free0(X48,X49))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])).
cnf(c_0_38, plain, (k10_gr_free0(X1,X2,k4_gr_free0(X1,X2),k1_xboole_0,k9_gr_free0(X1,X2,k4_gr_free0(X1,X2),k8_gr_free0(X1,X2)))=k11_gr_free0(X1,X2,k1_group_1(k4_gr_free0(X1,X2)))|v1_xboole_0(X1)|~m1_subset_1(k1_group_1(k4_gr_free0(X1,X2)),u1_struct_0(k3_gr_free0(X1,X2)))|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_28, c_0_29])).
cnf(c_0_39, plain, (k10_gr_free0(X1,X2,X3,X4,k9_gr_free0(X5,X2,X3,X6))=k3_relat_1(X4,k9_gr_free0(X5,X2,X3,X6))|v2_struct_0(X3)|v1_xboole_0(X5)|v1_xboole_0(X1)|~m1_finseq_1(X4,k1_gr_free0(X2))|~m1_gr_free0(X6,X5,X2,X3)|~v3_group_1(X3)|~v2_group_1(X3)|~l3_algstr_0(X3)|~v3_group_7(X2,X1)|~v3_group_7(X2,X5)|~v2_group_7(X2,X1)|~v2_group_7(X2,X5)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_partfun1(X2,X5)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v4_relat_1(X2,X5)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32]), c_0_33])).
cnf(c_0_40, plain, (m1_finseq_1(k1_xboole_0,X1)), inference(rw,[status(thm)],[c_0_34, c_0_35])).
cnf(c_0_41, plain, (l3_algstr_0(k4_gr_free0(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_42, plain, (v2_group_1(k4_gr_free0(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_43, plain, (v3_group_1(k4_gr_free0(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_44, plain, (v1_xboole_0(X1)|m1_gr_free0(k8_gr_free0(X1,X2),X1,X2,k4_gr_free0(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_45, plain, (~v2_struct_0(k4_gr_free0(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_36])).
fof(c_0_46, plain, ![X63, X64]:(~v1_relat_1(X64)|~v4_relat_1(X64,X63)|~v1_funct_1(X64)|~v1_partfun1(X64,X63)|~v1_group_7(X64)|~v2_group_7(X64,X63)|~v3_group_7(X64,X63)|k4_gr_free0(X63,X64)=k3_gr_free0(X63,X64)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_gr_free0])])).
fof(c_0_47, plain, ![X54, X55]:((v1_xboole_0(k3_relat_1(X54,X55))|(~v1_xboole_0(X54)|~v1_relat_1(X55)))&(v1_relat_1(k3_relat_1(X54,X55))|(~v1_xboole_0(X54)|~v1_relat_1(X55)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc12_relat_1])])])).
cnf(c_0_48, plain, (k3_relat_1(k1_xboole_0,k9_gr_free0(X1,X2,k4_gr_free0(X1,X2),k8_gr_free0(X1,X2)))=k11_gr_free0(X1,X2,k1_group_1(k4_gr_free0(X1,X2)))|v1_xboole_0(X1)|~m1_subset_1(k1_group_1(k4_gr_free0(X1,X2)),u1_struct_0(k3_gr_free0(X1,X2)))|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40])]), c_0_41]), c_0_42]), c_0_43]), c_0_44]), c_0_45])).
cnf(c_0_49, plain, (k4_gr_free0(X2,X1)=k3_gr_free0(X2,X1)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)|~v1_funct_1(X1)|~v1_partfun1(X1,X2)|~v1_group_7(X1)|~v2_group_7(X1,X2)|~v3_group_7(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_50, plain, (v1_xboole_0(k3_relat_1(X1,X2))|~v1_xboole_0(X1)|~v1_relat_1(X2)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_51, plain, (k3_relat_1(k1_xboole_0,k9_gr_free0(X1,X2,k4_gr_free0(X1,X2),k8_gr_free0(X1,X2)))=k11_gr_free0(X1,X2,k1_group_1(k4_gr_free0(X1,X2)))|v1_xboole_0(X1)|~m1_subset_1(k1_group_1(k4_gr_free0(X1,X2)),u1_struct_0(k4_gr_free0(X1,X2)))|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_48, c_0_49])).
cnf(c_0_52, plain, (v1_xboole_0(k1_xboole_0)), inference(split_conjunct,[status(thm)],[fc1_xboole_0])).
fof(c_0_53, plain, ![X45]:(~l3_algstr_0(X45)|m1_subset_1(k1_group_1(X45),u1_struct_0(X45))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_group_1])])).
fof(c_0_54, plain, ![X39, X40, X41]:(~m1_subset_1(X41,k1_zfmisc_1(k2_zfmisc_1(X39,X40)))|v1_relat_1(X41)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])).
cnf(c_0_55, plain, (v1_xboole_0(k11_gr_free0(X1,X2,k1_group_1(k4_gr_free0(X1,X2))))|v1_xboole_0(X1)|~m1_subset_1(k1_group_1(k4_gr_free0(X1,X2)),u1_struct_0(k4_gr_free0(X1,X2)))|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(k9_gr_free0(X1,X2,k4_gr_free0(X1,X2),k8_gr_free0(X1,X2)))|~v1_relat_1(X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_52])])).
cnf(c_0_56, plain, (m1_subset_1(k1_group_1(X1),u1_struct_0(X1))|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_57, plain, (v1_relat_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_54])).
fof(c_0_58, negated_conjecture, ~(![X1]:(~v1_xboole_0(X1)=>![X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>k11_gr_free0(X1,X2,k1_group_1(k4_gr_free0(X1,X2)))=k1_xboole_0))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t67_gr_free0])])).
cnf(c_0_59, plain, (v1_xboole_0(k11_gr_free0(X1,X2,k1_group_1(k4_gr_free0(X1,X2))))|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(k9_gr_free0(X1,X2,k4_gr_free0(X1,X2),k8_gr_free0(X1,X2)))|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_41])).
cnf(c_0_60, plain, (v2_struct_0(X1)|v1_relat_1(k9_gr_free0(X2,X3,X1,X4))|v1_xboole_0(X2)|~m1_gr_free0(X4,X2,X3,X1)|~v3_group_1(X1)|~v2_group_1(X1)|~l3_algstr_0(X1)|~v3_group_7(X3,X2)|~v2_group_7(X3,X2)|~v1_group_7(X3)|~v1_partfun1(X3,X2)|~v1_funct_1(X3)|~v4_relat_1(X3,X2)|~v1_relat_1(X3)), inference(spm,[status(thm)],[c_0_57, c_0_31])).
fof(c_0_61, negated_conjecture, (~v1_xboole_0(esk1_0)&(((((((v1_relat_1(esk2_0)&v4_relat_1(esk2_0,esk1_0))&v1_funct_1(esk2_0))&v1_partfun1(esk2_0,esk1_0))&v1_group_7(esk2_0))&v2_group_7(esk2_0,esk1_0))&v3_group_7(esk2_0,esk1_0))&k11_gr_free0(esk1_0,esk2_0,k1_group_1(k4_gr_free0(esk1_0,esk2_0)))!=k1_xboole_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])).
cnf(c_0_62, plain, (v1_xboole_0(k11_gr_free0(X1,X2,k1_group_1(k4_gr_free0(X1,X2))))|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), 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_59, c_0_60]), c_0_41]), c_0_42]), c_0_43]), c_0_44]), c_0_45])).
cnf(c_0_63, negated_conjecture, (k11_gr_free0(esk1_0,esk2_0,k1_group_1(k4_gr_free0(esk1_0,esk2_0)))!=k1_xboole_0), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_64, plain, (k11_gr_free0(X1,X2,k1_group_1(k4_gr_free0(X1,X2)))=k1_xboole_0|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_24, c_0_62])).
cnf(c_0_65, negated_conjecture, (v3_group_7(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_66, negated_conjecture, (v2_group_7(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_67, negated_conjecture, (v1_group_7(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_68, negated_conjecture, (v1_partfun1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_69, negated_conjecture, (v1_funct_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_70, negated_conjecture, (v4_relat_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_71, negated_conjecture, (v1_relat_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_72, negated_conjecture, (~v1_xboole_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_73, negated_conjecture, ($false), 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(spm,[status(thm)],[c_0_63, c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69]), c_0_70]), c_0_71])]), c_0_72]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 74
# Proof object clause steps            : 40
# Proof object formula steps           : 34
# Proof object conjectures             : 13
# Proof object clause conjectures      : 10
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 28
# Proof object initial formulas used   : 14
# Proof object generating inferences   : 11
# Proof object simplifying inferences  : 27
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 14
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 35
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 35
# Processed clauses                    : 58
# ...of these trivial                  : 0
# ...subsumed                          : 1
# ...remaining for further processing  : 57
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 4
# Backward-rewritten                   : 7
# Generated clauses                    : 26
# ...of the previous two non-trivial   : 28
# Contextual simplify-reflections      : 19
# Paramodulations                      : 26
# 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  : 46
#    Positive orientable unit clauses  : 15
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 29
# Current number of unprocessed clauses: 5
# ...number of literals in the above   : 72
# Current number of archived formulas  : 0
# Current number of archived clauses   : 11
# Clause-clause subsumption calls (NU) : 1148
# Rec. Clause-clause subsumption calls : 50
# Non-unit clause-clause subsumptions  : 24
# Unit Clause-clause subsumption calls : 90
# 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          : 6059

# -------------------------------------------------
# User time                : 0.017 s
# System time              : 0.011 s
# Total time               : 0.028 s
# Maximum resident set size: 3316 pages
