# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___300_C01_S5PRR_S00
# and selection function NoSelection.
#
# Preprocessing time       : 0.022 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t6_boole, axiom, ![X1]:(v1_xboole_0(X1)=>X1=k1_xboole_0), file('gr_free0/gr_free0__t61_gr_free0', t6_boole)).
fof(fc5_finseq_1, axiom, ![X1]:v1_xboole_0(k6_finseq_1(X1)), file('gr_free0/gr_free0__t61_gr_free0', fc5_finseq_1)).
fof(t58_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]:(m2_finseq_1(X3,k1_gr_free0(X2))=>![X4]:(m1_subset_1(X4,u1_struct_0(k3_gr_free0(X1,X2)))=>(X4=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),X3)=>k7_gr_free0(X1,X2,X4)=k2_rewrite1(k2_gr_free0(X1,X2),X3)))))), file('gr_free0/gr_free0__t61_gr_free0', t58_gr_free0)).
fof(dt_k6_finseq_1, axiom, ![X1]:m2_finseq_1(k6_finseq_1(X1),X1), file('gr_free0/gr_free0__t61_gr_free0', dt_k6_finseq_1)).
fof(t61_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))=>k7_gr_free0(X1,X2,k1_group_1(k4_gr_free0(X1,X2)))=k1_xboole_0)), file('gr_free0/gr_free0__t61_gr_free0', t61_gr_free0)).
fof(t44_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))=>k1_group_1(k3_gr_free0(X1,X2))=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),k1_xboole_0)), file('gr_free0/gr_free0__t61_gr_free0', t44_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__t61_gr_free0', redefinition_k4_gr_free0)).
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__t61_gr_free0', dt_k1_group_1)).
fof(t36_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))=>r3_rewrite1(k2_gr_free0(X1,X2),k1_xboole_0))), file('gr_free0/gr_free0__t61_gr_free0', t36_gr_free0)).
fof(t17_msafree4, axiom, ![X1, X2]:(((v1_relat_1(X2)&v2_rewrite1(X2))&v4_rewrite1(X2))=>(r3_rewrite1(X2,X1)=>k2_rewrite1(X2,X1)=X1)), file('gr_free0/gr_free0__t61_gr_free0', t17_msafree4)).
fof(fc8_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))=>(v4_rewrite1(k2_gr_free0(X1,X2))&v10_rewrite1(k2_gr_free0(X1,X2)))), file('gr_free0/gr_free0__t61_gr_free0', fc8_gr_free0)).
fof(fc6_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_rewrite1(k2_gr_free0(X1,X2))), file('gr_free0/gr_free0__t61_gr_free0', fc6_gr_free0)).
fof(cc5_rewrite1, axiom, ![X1]:((v1_relat_1(X1)&v3_rewrite1(X1))=>(v1_relat_1(X1)&v2_rewrite1(X1))), file('gr_free0/gr_free0__t61_gr_free0', cc5_rewrite1)).
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__t61_gr_free0', dt_k4_gr_free0)).
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__t61_gr_free0', cc1_relset_1)).
fof(dt_k2_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))=>m1_subset_1(k2_gr_free0(X1,X2),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),u1_struct_0(k10_monoid_0(k1_gr_free0(X2))))))), file('gr_free0/gr_free0__t61_gr_free0', dt_k2_gr_free0)).
fof(c_0_16, plain, ![X64]:(~v1_xboole_0(X64)|X64=k1_xboole_0), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])])).
fof(c_0_17, plain, ![X47]:v1_xboole_0(k6_finseq_1(X47)), inference(variable_rename,[status(thm)],[fc5_finseq_1])).
fof(c_0_18, 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]:(m2_finseq_1(X3,k1_gr_free0(X2))=>![X4]:(m1_subset_1(X4,u1_struct_0(k3_gr_free0(X1,X2)))=>(X4=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),X3)=>k7_gr_free0(X1,X2,X4)=k2_rewrite1(k2_gr_free0(X1,X2),X3)))))), inference(fof_simplification,[status(thm)],[t58_gr_free0])).
fof(c_0_19, plain, ![X46]:m2_finseq_1(k6_finseq_1(X46),X46), inference(variable_rename,[status(thm)],[dt_k6_finseq_1])).
cnf(c_0_20, plain, (X1=k1_xboole_0|~v1_xboole_0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_21, plain, (v1_xboole_0(k6_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_17])).
fof(c_0_22, 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))=>k7_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)],[t61_gr_free0])])).
fof(c_0_23, plain, ![X60, X61, X62, X63]:(v1_xboole_0(X60)|(~v1_relat_1(X61)|~v4_relat_1(X61,X60)|~v1_funct_1(X61)|~v1_partfun1(X61,X60)|~v1_group_7(X61)|~v2_group_7(X61,X60)|~v3_group_7(X61,X60)|(~m2_finseq_1(X62,k1_gr_free0(X61))|(~m1_subset_1(X63,u1_struct_0(k3_gr_free0(X60,X61)))|(X63!=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X61))),u1_struct_0(k10_monoid_0(k1_gr_free0(X61))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X61))),k2_gr_free0(X60,X61)),X62)|k7_gr_free0(X60,X61,X63)=k2_rewrite1(k2_gr_free0(X60,X61),X62)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
fof(c_0_24, plain, ![X58, X59]:(~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)|k1_group_1(k3_gr_free0(X58,X59))=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X59))),u1_struct_0(k10_monoid_0(k1_gr_free0(X59))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X59))),k2_gr_free0(X58,X59)),k1_xboole_0)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t44_gr_free0])])).
cnf(c_0_25, plain, (m2_finseq_1(k6_finseq_1(X1),X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_26, plain, (k6_finseq_1(X1)=k1_xboole_0), inference(pm,[status(thm)],[c_0_20, c_0_21])).
fof(c_0_27, 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))&k7_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_22])])])).
fof(c_0_28, plain, ![X52, X53]:(~v1_relat_1(X53)|~v4_relat_1(X53,X52)|~v1_funct_1(X53)|~v1_partfun1(X53,X52)|~v1_group_7(X53)|~v2_group_7(X53,X52)|~v3_group_7(X53,X52)|k4_gr_free0(X52,X53)=k3_gr_free0(X52,X53)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_gr_free0])])).
cnf(c_0_29, plain, (v1_xboole_0(X1)|k7_gr_free0(X1,X2,X4)=k2_rewrite1(k2_gr_free0(X1,X2),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)|~m2_finseq_1(X3,k1_gr_free0(X2))|~m1_subset_1(X4,u1_struct_0(k3_gr_free0(X1,X2)))|X4!=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X2))),k2_gr_free0(X1,X2)),X3)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_30, plain, (k1_group_1(k3_gr_free0(X2,X1))=k6_eqrel_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k1_msualg_5(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),k2_gr_free0(X2,X1)),k1_xboole_0)|~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_24])).
cnf(c_0_31, plain, (m2_finseq_1(k1_xboole_0,X1)), inference(rw,[status(thm)],[c_0_25, c_0_26])).
fof(c_0_32, plain, ![X41]:(~l3_algstr_0(X41)|m1_subset_1(k1_group_1(X41),u1_struct_0(X41))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_group_1])])).
fof(c_0_33, 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))=>r3_rewrite1(k2_gr_free0(X1,X2),k1_xboole_0))), inference(fof_simplification,[status(thm)],[t36_gr_free0])).
cnf(c_0_34, negated_conjecture, (k7_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_27])).
cnf(c_0_35, 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_28])).
cnf(c_0_36, negated_conjecture, (v3_group_7(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_37, negated_conjecture, (v2_group_7(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_38, negated_conjecture, (v1_group_7(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_39, negated_conjecture, (v1_partfun1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_40, negated_conjecture, (v1_funct_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_41, negated_conjecture, (v4_relat_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_42, negated_conjecture, (v1_relat_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_43, plain, (k7_gr_free0(X1,X2,X3)=k2_rewrite1(k2_gr_free0(X1,X2),k1_xboole_0)|v1_xboole_0(X1)|k1_group_1(k3_gr_free0(X1,X2))!=X3|~m1_subset_1(X3,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_29, c_0_30]), c_0_31])])).
cnf(c_0_44, plain, (m1_subset_1(k1_group_1(X1),u1_struct_0(X1))|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
fof(c_0_45, plain, ![X54, X55]:(~v1_relat_1(X55)|~v2_rewrite1(X55)|~v4_rewrite1(X55)|(~r3_rewrite1(X55,X54)|k2_rewrite1(X55,X54)=X54)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t17_msafree4])])).
fof(c_0_46, plain, ![X56, X57]:(v1_xboole_0(X56)|(~v1_relat_1(X57)|~v4_relat_1(X57,X56)|~v1_funct_1(X57)|~v1_partfun1(X57,X56)|~v1_group_7(X57)|~v2_group_7(X57,X56)|r3_rewrite1(k2_gr_free0(X56,X57),k1_xboole_0))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])).
cnf(c_0_47, negated_conjecture, (k7_gr_free0(esk1_0,esk2_0,k1_group_1(k3_gr_free0(esk1_0,esk2_0)))!=k1_xboole_0), 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(pm,[status(thm)],[c_0_34, c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42])])).
cnf(c_0_48, plain, (k7_gr_free0(X1,X2,k1_group_1(k3_gr_free0(X1,X2)))=k2_rewrite1(k2_gr_free0(X1,X2),k1_xboole_0)|v1_xboole_0(X1)|~l3_algstr_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(pm,[status(thm)],[c_0_43, c_0_44])).
cnf(c_0_49, negated_conjecture, (~v1_xboole_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_50, plain, (k2_rewrite1(X1,X2)=X2|~v1_relat_1(X1)|~v2_rewrite1(X1)|~v4_rewrite1(X1)|~r3_rewrite1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_51, plain, (v1_xboole_0(X1)|r3_rewrite1(k2_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)), inference(split_conjunct,[status(thm)],[c_0_46])).
fof(c_0_52, 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))=>(v4_rewrite1(k2_gr_free0(X1,X2))&v10_rewrite1(k2_gr_free0(X1,X2)))), inference(fof_simplification,[status(thm)],[fc8_gr_free0])).
fof(c_0_53, 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_rewrite1(k2_gr_free0(X1,X2))), inference(fof_simplification,[status(thm)],[fc6_gr_free0])).
cnf(c_0_54, negated_conjecture, (k2_rewrite1(k2_gr_free0(esk1_0,esk2_0),k1_xboole_0)!=k1_xboole_0|~l3_algstr_0(k3_gr_free0(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(pm,[status(thm)],[c_0_47, c_0_48]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42])]), c_0_49])).
cnf(c_0_55, plain, (k2_rewrite1(k2_gr_free0(X1,X2),k1_xboole_0)=k1_xboole_0|v1_xboole_0(X1)|~v4_rewrite1(k2_gr_free0(X1,X2))|~v2_rewrite1(k2_gr_free0(X1,X2))|~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(k2_gr_free0(X1,X2))|~v1_relat_1(X2)), inference(pm,[status(thm)],[c_0_50, c_0_51])).
fof(c_0_56, plain, ![X50, X51]:((v4_rewrite1(k2_gr_free0(X50,X51))|(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)))&(v10_rewrite1(k2_gr_free0(X50,X51))|(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)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])).
fof(c_0_57, plain, ![X40]:((v1_relat_1(X40)|(~v1_relat_1(X40)|~v3_rewrite1(X40)))&(v2_rewrite1(X40)|(~v1_relat_1(X40)|~v3_rewrite1(X40)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_rewrite1])])])).
fof(c_0_58, 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_rewrite1(k2_gr_free0(X48,X49))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])).
fof(c_0_59, 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])).
cnf(c_0_60, negated_conjecture, (~v4_rewrite1(k2_gr_free0(esk1_0,esk2_0))|~l3_algstr_0(k3_gr_free0(esk1_0,esk2_0))|~v2_rewrite1(k2_gr_free0(esk1_0,esk2_0))|~v1_relat_1(k2_gr_free0(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(pm,[status(thm)],[c_0_54, c_0_55]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42])]), c_0_49])).
cnf(c_0_61, plain, (v4_rewrite1(k2_gr_free0(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)), inference(split_conjunct,[status(thm)],[c_0_56])).
cnf(c_0_62, plain, (v2_rewrite1(X1)|~v1_relat_1(X1)|~v3_rewrite1(X1)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_63, plain, (v1_xboole_0(X1)|v3_rewrite1(k2_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)), inference(split_conjunct,[status(thm)],[c_0_58])).
fof(c_0_64, plain, ![X44, X45]:(((((~v2_struct_0(k4_gr_free0(X44,X45))|(~v1_relat_1(X45)|~v4_relat_1(X45,X44)|~v1_funct_1(X45)|~v1_partfun1(X45,X44)|~v1_group_7(X45)|~v2_group_7(X45,X44)|~v3_group_7(X45,X44)))&(v15_algstr_0(k4_gr_free0(X44,X45))|(~v1_relat_1(X45)|~v4_relat_1(X45,X44)|~v1_funct_1(X45)|~v1_partfun1(X45,X44)|~v1_group_7(X45)|~v2_group_7(X45,X44)|~v3_group_7(X45,X44))))&(v2_group_1(k4_gr_free0(X44,X45))|(~v1_relat_1(X45)|~v4_relat_1(X45,X44)|~v1_funct_1(X45)|~v1_partfun1(X45,X44)|~v1_group_7(X45)|~v2_group_7(X45,X44)|~v3_group_7(X45,X44))))&(v3_group_1(k4_gr_free0(X44,X45))|(~v1_relat_1(X45)|~v4_relat_1(X45,X44)|~v1_funct_1(X45)|~v1_partfun1(X45,X44)|~v1_group_7(X45)|~v2_group_7(X45,X44)|~v3_group_7(X45,X44))))&(l3_algstr_0(k4_gr_free0(X44,X45))|(~v1_relat_1(X45)|~v4_relat_1(X45,X44)|~v1_funct_1(X45)|~v1_partfun1(X45,X44)|~v1_group_7(X45)|~v2_group_7(X45,X44)|~v3_group_7(X45,X44)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])])).
cnf(c_0_65, negated_conjecture, (~l3_algstr_0(k3_gr_free0(esk1_0,esk2_0))|~v2_rewrite1(k2_gr_free0(esk1_0,esk2_0))|~v1_relat_1(k2_gr_free0(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(pm,[status(thm)],[c_0_60, c_0_61]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42])]), c_0_49])).
cnf(c_0_66, plain, (v2_rewrite1(k2_gr_free0(X1,X2))|v1_xboole_0(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(k2_gr_free0(X1,X2))|~v1_relat_1(X2)), inference(pm,[status(thm)],[c_0_62, c_0_63])).
cnf(c_0_67, 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_64])).
fof(c_0_68, plain, ![X37, X38, X39]:(~m1_subset_1(X39,k1_zfmisc_1(k2_zfmisc_1(X37,X38)))|v1_relat_1(X39)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])).
fof(c_0_69, plain, ![X42, X43]:(~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)|m1_subset_1(k2_gr_free0(X42,X43),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X43))),u1_struct_0(k10_monoid_0(k1_gr_free0(X43))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_gr_free0])])).
cnf(c_0_70, negated_conjecture, (~l3_algstr_0(k3_gr_free0(esk1_0,esk2_0))|~v1_relat_1(k2_gr_free0(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(pm,[status(thm)],[c_0_65, c_0_66]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42])]), c_0_49])).
cnf(c_0_71, plain, (l3_algstr_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(pm,[status(thm)],[c_0_67, c_0_35])).
cnf(c_0_72, plain, (v1_relat_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_68])).
cnf(c_0_73, plain, (m1_subset_1(k2_gr_free0(X2,X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k10_monoid_0(k1_gr_free0(X1))),u1_struct_0(k10_monoid_0(k1_gr_free0(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)), inference(split_conjunct,[status(thm)],[c_0_69])).
cnf(c_0_74, negated_conjecture, (~v1_relat_1(k2_gr_free0(esk1_0,esk2_0))), 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(pm,[status(thm)],[c_0_70, c_0_71]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42])])).
cnf(c_0_75, plain, (v1_relat_1(k2_gr_free0(X1,X2))|~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(pm,[status(thm)],[c_0_72, c_0_73])).
cnf(c_0_76, negated_conjecture, ($false), 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(pm,[status(thm)],[c_0_74, c_0_75]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 77
# Proof object clause steps            : 39
# Proof object formula steps           : 38
# Proof object conjectures             : 19
# Proof object clause conjectures      : 16
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 24
# Proof object initial formulas used   : 16
# Proof object generating inferences   : 14
# Proof object simplifying inferences  : 60
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 16
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 30
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 29
# Processed clauses                    : 49
# ...of these trivial                  : 1
# ...subsumed                          : 0
# ...remaining for further processing  : 48
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 1
# Generated clauses                    : 24
# ...of the previous two non-trivial   : 24
# Contextual simplify-reflections      : 0
# Paramodulations                      : 23
# 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  : 45
#    Positive orientable unit clauses  : 10
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 31
# Current number of unprocessed clauses: 4
# ...number of literals in the above   : 49
# Current number of archived formulas  : 0
# Current number of archived clauses   : 3
# Clause-clause subsumption calls (NU) : 136
# Rec. Clause-clause subsumption calls : 6
# Non-unit clause-clause subsumptions  : 2
# Unit Clause-clause subsumption calls : 10
# 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          : 4904

# -------------------------------------------------
# User time                : 0.021 s
# System time              : 0.007 s
# Total time               : 0.027 s
# Maximum resident set size: 3512 pages
