# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
# and selection function SelectCQIPrecWNTNp.
#
# Preprocessing time       : 0.023 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(dt_k2_group_19, axiom, ![X1, X2, X3]:(((((((((~(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_subset_1(X3,X1))=>(((~(v2_struct_0(k2_group_19(X1,X2,X3)))&v2_group_1(k2_group_19(X1,X2,X3)))&v3_group_1(k2_group_19(X1,X2,X3)))&l3_algstr_0(k2_group_19(X1,X2,X3)))), file('gr_free0/gr_free0__t51_gr_free0', dt_k2_group_19)).
fof(t51_gr_free0, conjecture, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))=>k2_group_1(k4_gr_free0(X1,X3),k5_gr_free0(X1,X3,X2,X4))=k5_gr_free0(X1,X3,X2,k2_group_1(k2_group_19(X1,X3,X2),X4)))))), file('gr_free0/gr_free0__t51_gr_free0', t51_gr_free0)).
fof(t50_gr_free0, axiom, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))=>![X5]:(m1_subset_1(X5,u1_struct_0(k2_group_19(X1,X3,X2)))=>k6_algstr_0(k4_gr_free0(X1,X3),k5_gr_free0(X1,X3,X2,X4),k5_gr_free0(X1,X3,X2,X5))=k5_gr_free0(X1,X3,X2,k6_algstr_0(k2_group_19(X1,X3,X2),X4,X5))))))), file('gr_free0/gr_free0__t51_gr_free0', t50_gr_free0)).
fof(dt_k2_group_1, axiom, ![X1, X2]:(((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>m1_subset_1(k2_group_1(X1,X2),u1_struct_0(X1))), file('gr_free0/gr_free0__t51_gr_free0', dt_k2_group_1)).
fof(d5_group_1, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(X3=k2_group_1(X1,X2)<=>(k6_algstr_0(X1,X2,X3)=k1_group_1(X1)&k6_algstr_0(X1,X3,X2)=k1_group_1(X1)))))), file('gr_free0/gr_free0__t51_gr_free0', d5_group_1)).
fof(t48_gr_free0, axiom, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>k5_gr_free0(X1,X3,X2,k1_group_1(k2_group_19(X1,X3,X2)))=k1_group_1(k4_gr_free0(X1,X3))))), file('gr_free0/gr_free0__t51_gr_free0', t48_gr_free0)).
fof(dt_k5_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))&m1_subset_1(X3,X1))&m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X2,X3))))=>m1_subset_1(k5_gr_free0(X1,X2,X3,X4),u1_struct_0(k4_gr_free0(X1,X2)))), file('gr_free0/gr_free0__t51_gr_free0', dt_k5_gr_free0)).
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__t51_gr_free0', dt_k4_gr_free0)).
fof(t12_group_1, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(k6_algstr_0(X1,X3,X2)=k1_group_1(X1)=>(X3=k2_group_1(X1,X2)&X2=k2_group_1(X1,X3)))))), file('gr_free0/gr_free0__t51_gr_free0', t12_group_1)).
fof(c_0_9, plain, ![X1, X2, X3]:(((((((((~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_subset_1(X3,X1))=>(((~v2_struct_0(k2_group_19(X1,X2,X3))&v2_group_1(k2_group_19(X1,X2,X3)))&v3_group_1(k2_group_19(X1,X2,X3)))&l3_algstr_0(k2_group_19(X1,X2,X3)))), inference(fof_simplification,[status(thm)],[dt_k2_group_19])).
fof(c_0_10, negated_conjecture, ~(![X1]:(~v1_xboole_0(X1)=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))=>k2_group_1(k4_gr_free0(X1,X3),k5_gr_free0(X1,X3,X2,X4))=k5_gr_free0(X1,X3,X2,k2_group_1(k2_group_19(X1,X3,X2),X4))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t51_gr_free0])])).
fof(c_0_11, plain, ![X1]:(~v1_xboole_0(X1)=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))=>![X5]:(m1_subset_1(X5,u1_struct_0(k2_group_19(X1,X3,X2)))=>k6_algstr_0(k4_gr_free0(X1,X3),k5_gr_free0(X1,X3,X2,X4),k5_gr_free0(X1,X3,X2,X5))=k5_gr_free0(X1,X3,X2,k6_algstr_0(k2_group_19(X1,X3,X2),X4,X5))))))), inference(fof_simplification,[status(thm)],[t50_gr_free0])).
fof(c_0_12, plain, ![X1, X2]:(((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>m1_subset_1(k2_group_1(X1,X2),u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[dt_k2_group_1])).
fof(c_0_13, plain, ![X44, X45, X46]:((((~v2_struct_0(k2_group_19(X44,X45,X46))|(v1_xboole_0(X44)|~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)|~m1_subset_1(X46,X44)))&(v2_group_1(k2_group_19(X44,X45,X46))|(v1_xboole_0(X44)|~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)|~m1_subset_1(X46,X44))))&(v3_group_1(k2_group_19(X44,X45,X46))|(v1_xboole_0(X44)|~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)|~m1_subset_1(X46,X44))))&(l3_algstr_0(k2_group_19(X44,X45,X46))|(v1_xboole_0(X44)|~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)|~m1_subset_1(X46,X44)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
fof(c_0_14, negated_conjecture, (~v1_xboole_0(esk1_0)&(m1_subset_1(esk2_0,esk1_0)&(((((((v1_relat_1(esk3_0)&v4_relat_1(esk3_0,esk1_0))&v1_funct_1(esk3_0))&v1_partfun1(esk3_0,esk1_0))&v1_group_7(esk3_0))&v2_group_7(esk3_0,esk1_0))&v3_group_7(esk3_0,esk1_0))&(m1_subset_1(esk4_0,u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))&k2_group_1(k4_gr_free0(esk1_0,esk3_0),k5_gr_free0(esk1_0,esk3_0,esk2_0,esk4_0))!=k5_gr_free0(esk1_0,esk3_0,esk2_0,k2_group_1(k2_group_19(esk1_0,esk3_0,esk2_0),esk4_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])).
fof(c_0_15, plain, ![X59, X60, X61, X62, X63]:(v1_xboole_0(X59)|(~m1_subset_1(X60,X59)|(~v1_relat_1(X61)|~v4_relat_1(X61,X59)|~v1_funct_1(X61)|~v1_partfun1(X61,X59)|~v1_group_7(X61)|~v2_group_7(X61,X59)|~v3_group_7(X61,X59)|(~m1_subset_1(X62,u1_struct_0(k2_group_19(X59,X61,X60)))|(~m1_subset_1(X63,u1_struct_0(k2_group_19(X59,X61,X60)))|k6_algstr_0(k4_gr_free0(X59,X61),k5_gr_free0(X59,X61,X60,X62),k5_gr_free0(X59,X61,X60,X63))=k5_gr_free0(X59,X61,X60,k6_algstr_0(k2_group_19(X59,X61,X60),X62,X63))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])).
fof(c_0_16, plain, ![X42, X43]:(v2_struct_0(X42)|~v2_group_1(X42)|~v3_group_1(X42)|~l3_algstr_0(X42)|~m1_subset_1(X43,u1_struct_0(X42))|m1_subset_1(k2_group_1(X42,X43),u1_struct_0(X42))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])).
cnf(c_0_17, plain, (v2_group_1(k2_group_19(X1,X2,X3))|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_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_18, negated_conjecture, (v3_group_7(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_19, negated_conjecture, (v2_group_7(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_20, negated_conjecture, (v1_group_7(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_21, negated_conjecture, (v1_partfun1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_22, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_23, negated_conjecture, (v4_relat_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_24, negated_conjecture, (v1_relat_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_25, negated_conjecture, (~v1_xboole_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_26, plain, (v1_xboole_0(X1)|k6_algstr_0(k4_gr_free0(X1,X3),k5_gr_free0(X1,X3,X2,X4),k5_gr_free0(X1,X3,X2,X5))=k5_gr_free0(X1,X3,X2,k6_algstr_0(k2_group_19(X1,X3,X2),X4,X5))|~m1_subset_1(X2,X1)|~v1_relat_1(X3)|~v4_relat_1(X3,X1)|~v1_funct_1(X3)|~v1_partfun1(X3,X1)|~v1_group_7(X3)|~v2_group_7(X3,X1)|~v3_group_7(X3,X1)|~m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))|~m1_subset_1(X5,u1_struct_0(k2_group_19(X1,X3,X2)))), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_27, plain, (v2_struct_0(X1)|m1_subset_1(k2_group_1(X1,X2),u1_struct_0(X1))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_28, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_29, negated_conjecture, (v2_group_1(k2_group_19(esk1_0,esk3_0,X1))|~m1_subset_1(X1,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(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24])]), c_0_25])).
cnf(c_0_30, negated_conjecture, (m1_subset_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_31, plain, (v3_group_1(k2_group_19(X1,X2,X3))|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_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_32, plain, (l3_algstr_0(k2_group_19(X1,X2,X3))|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_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
fof(c_0_33, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(X3=k2_group_1(X1,X2)<=>(k6_algstr_0(X1,X2,X3)=k1_group_1(X1)&k6_algstr_0(X1,X3,X2)=k1_group_1(X1)))))), inference(fof_simplification,[status(thm)],[d5_group_1])).
fof(c_0_34, plain, ![X1]:(~v1_xboole_0(X1)=>![X2]:(m1_subset_1(X2,X1)=>![X3]:(((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))&v3_group_7(X3,X1))=>k5_gr_free0(X1,X3,X2,k1_group_1(k2_group_19(X1,X3,X2)))=k1_group_1(k4_gr_free0(X1,X3))))), inference(fof_simplification,[status(thm)],[t48_gr_free0])).
fof(c_0_35, 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))&m1_subset_1(X3,X1))&m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X2,X3))))=>m1_subset_1(k5_gr_free0(X1,X2,X3,X4),u1_struct_0(k4_gr_free0(X1,X2)))), inference(fof_simplification,[status(thm)],[dt_k5_gr_free0])).
cnf(c_0_36, negated_conjecture, (k5_gr_free0(esk1_0,esk3_0,X1,k6_algstr_0(k2_group_19(esk1_0,esk3_0,X1),X2,X3))=k6_algstr_0(k4_gr_free0(esk1_0,esk3_0),k5_gr_free0(esk1_0,esk3_0,X1,X2),k5_gr_free0(esk1_0,esk3_0,X1,X3))|~m1_subset_1(X3,u1_struct_0(k2_group_19(esk1_0,esk3_0,X1)))|~m1_subset_1(X2,u1_struct_0(k2_group_19(esk1_0,esk3_0,X1)))|~m1_subset_1(X1,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(spm,[status(thm)],[c_0_26, c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24])]), c_0_25])).
cnf(c_0_37, negated_conjecture, (v2_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0))|m1_subset_1(k2_group_1(k2_group_19(esk1_0,esk3_0,esk2_0),esk4_0),u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))|~l3_algstr_0(k2_group_19(esk1_0,esk3_0,esk2_0))|~v3_group_1(k2_group_19(esk1_0,esk3_0,esk2_0))|~v2_group_1(k2_group_19(esk1_0,esk3_0,esk2_0))), inference(spm,[status(thm)],[c_0_27, c_0_28])).
cnf(c_0_38, negated_conjecture, (v2_group_1(k2_group_19(esk1_0,esk3_0,esk2_0))), inference(spm,[status(thm)],[c_0_29, c_0_30])).
cnf(c_0_39, negated_conjecture, (v3_group_1(k2_group_19(esk1_0,esk3_0,X1))|~m1_subset_1(X1,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(spm,[status(thm)],[c_0_31, c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24])]), c_0_25])).
cnf(c_0_40, negated_conjecture, (l3_algstr_0(k2_group_19(esk1_0,esk3_0,X1))|~m1_subset_1(X1,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(spm,[status(thm)],[c_0_32, c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24])]), c_0_25])).
fof(c_0_41, plain, ![X39, X40, X41]:(((k6_algstr_0(X39,X40,X41)=k1_group_1(X39)|X41!=k2_group_1(X39,X40)|~m1_subset_1(X41,u1_struct_0(X39))|~m1_subset_1(X40,u1_struct_0(X39))|(v2_struct_0(X39)|~v2_group_1(X39)|~v3_group_1(X39)|~l3_algstr_0(X39)))&(k6_algstr_0(X39,X41,X40)=k1_group_1(X39)|X41!=k2_group_1(X39,X40)|~m1_subset_1(X41,u1_struct_0(X39))|~m1_subset_1(X40,u1_struct_0(X39))|(v2_struct_0(X39)|~v2_group_1(X39)|~v3_group_1(X39)|~l3_algstr_0(X39))))&(k6_algstr_0(X39,X40,X41)!=k1_group_1(X39)|k6_algstr_0(X39,X41,X40)!=k1_group_1(X39)|X41=k2_group_1(X39,X40)|~m1_subset_1(X41,u1_struct_0(X39))|~m1_subset_1(X40,u1_struct_0(X39))|(v2_struct_0(X39)|~v2_group_1(X39)|~v3_group_1(X39)|~l3_algstr_0(X39)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])])).
fof(c_0_42, plain, ![X56, X57, X58]:(v1_xboole_0(X56)|(~m1_subset_1(X57,X56)|(~v1_relat_1(X58)|~v4_relat_1(X58,X56)|~v1_funct_1(X58)|~v1_partfun1(X58,X56)|~v1_group_7(X58)|~v2_group_7(X58,X56)|~v3_group_7(X58,X56)|k5_gr_free0(X56,X58,X57,k1_group_1(k2_group_19(X56,X58,X57)))=k1_group_1(k4_gr_free0(X56,X58))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])).
fof(c_0_43, plain, ![X49, X50, X51, X52]:(v1_xboole_0(X49)|~v1_relat_1(X50)|~v4_relat_1(X50,X49)|~v1_funct_1(X50)|~v1_partfun1(X50,X49)|~v1_group_7(X50)|~v2_group_7(X50,X49)|~v3_group_7(X50,X49)|~m1_subset_1(X51,X49)|~m1_subset_1(X52,u1_struct_0(k2_group_19(X49,X50,X51)))|m1_subset_1(k5_gr_free0(X49,X50,X51,X52),u1_struct_0(k4_gr_free0(X49,X50)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])).
cnf(c_0_44, negated_conjecture, (k5_gr_free0(esk1_0,esk3_0,esk2_0,k6_algstr_0(k2_group_19(esk1_0,esk3_0,esk2_0),X1,X2))=k6_algstr_0(k4_gr_free0(esk1_0,esk3_0),k5_gr_free0(esk1_0,esk3_0,esk2_0,X1),k5_gr_free0(esk1_0,esk3_0,esk2_0,X2))|~m1_subset_1(X2,u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))|~m1_subset_1(X1,u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))), inference(spm,[status(thm)],[c_0_36, c_0_30])).
cnf(c_0_45, negated_conjecture, (v2_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0))|m1_subset_1(k2_group_1(k2_group_19(esk1_0,esk3_0,esk2_0),esk4_0),u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))|~l3_algstr_0(k2_group_19(esk1_0,esk3_0,esk2_0))|~v3_group_1(k2_group_19(esk1_0,esk3_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])])).
cnf(c_0_46, negated_conjecture, (v3_group_1(k2_group_19(esk1_0,esk3_0,esk2_0))), inference(spm,[status(thm)],[c_0_39, c_0_30])).
cnf(c_0_47, negated_conjecture, (l3_algstr_0(k2_group_19(esk1_0,esk3_0,esk2_0))), inference(spm,[status(thm)],[c_0_40, c_0_30])).
cnf(c_0_48, plain, (k6_algstr_0(X1,X2,X3)=k1_group_1(X1)|v2_struct_0(X1)|X2!=k2_group_1(X1,X3)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_49, plain, (v1_xboole_0(X1)|k5_gr_free0(X1,X3,X2,k1_group_1(k2_group_19(X1,X3,X2)))=k1_group_1(k4_gr_free0(X1,X3))|~m1_subset_1(X2,X1)|~v1_relat_1(X3)|~v4_relat_1(X3,X1)|~v1_funct_1(X3)|~v1_partfun1(X3,X1)|~v1_group_7(X3)|~v2_group_7(X3,X1)|~v3_group_7(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_42])).
fof(c_0_50, 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_51, plain, (v1_xboole_0(X1)|m1_subset_1(k5_gr_free0(X1,X2,X3,X4),u1_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)|~m1_subset_1(X3,X1)|~m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_43])).
fof(c_0_52, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(k6_algstr_0(X1,X3,X2)=k1_group_1(X1)=>(X3=k2_group_1(X1,X2)&X2=k2_group_1(X1,X3)))))), inference(fof_simplification,[status(thm)],[t12_group_1])).
cnf(c_0_53, negated_conjecture, (k5_gr_free0(esk1_0,esk3_0,esk2_0,k6_algstr_0(k2_group_19(esk1_0,esk3_0,esk2_0),X1,esk4_0))=k6_algstr_0(k4_gr_free0(esk1_0,esk3_0),k5_gr_free0(esk1_0,esk3_0,esk2_0,X1),k5_gr_free0(esk1_0,esk3_0,esk2_0,esk4_0))|~m1_subset_1(X1,u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))), inference(spm,[status(thm)],[c_0_44, c_0_28])).
cnf(c_0_54, negated_conjecture, (v2_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0))|m1_subset_1(k2_group_1(k2_group_19(esk1_0,esk3_0,esk2_0),esk4_0),u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45, c_0_46])]), c_0_47])])).
cnf(c_0_55, plain, (k6_algstr_0(X1,k2_group_1(X1,X2),X2)=k1_group_1(X1)|v2_struct_0(X1)|~l3_algstr_0(X1)|~v3_group_1(X1)|~v2_group_1(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_48]), c_0_27])).
cnf(c_0_56, negated_conjecture, (k5_gr_free0(esk1_0,esk3_0,X1,k1_group_1(k2_group_19(esk1_0,esk3_0,X1)))=k1_group_1(k4_gr_free0(esk1_0,esk3_0))|~m1_subset_1(X1,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(spm,[status(thm)],[c_0_49, c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24])]), c_0_25])).
fof(c_0_57, plain, ![X47, X48]:(((((~v2_struct_0(k4_gr_free0(X47,X48))|(~v1_relat_1(X48)|~v4_relat_1(X48,X47)|~v1_funct_1(X48)|~v1_partfun1(X48,X47)|~v1_group_7(X48)|~v2_group_7(X48,X47)|~v3_group_7(X48,X47)))&(v15_algstr_0(k4_gr_free0(X47,X48))|(~v1_relat_1(X48)|~v4_relat_1(X48,X47)|~v1_funct_1(X48)|~v1_partfun1(X48,X47)|~v1_group_7(X48)|~v2_group_7(X48,X47)|~v3_group_7(X48,X47))))&(v2_group_1(k4_gr_free0(X47,X48))|(~v1_relat_1(X48)|~v4_relat_1(X48,X47)|~v1_funct_1(X48)|~v1_partfun1(X48,X47)|~v1_group_7(X48)|~v2_group_7(X48,X47)|~v3_group_7(X48,X47))))&(v3_group_1(k4_gr_free0(X47,X48))|(~v1_relat_1(X48)|~v4_relat_1(X48,X47)|~v1_funct_1(X48)|~v1_partfun1(X48,X47)|~v1_group_7(X48)|~v2_group_7(X48,X47)|~v3_group_7(X48,X47))))&(l3_algstr_0(k4_gr_free0(X47,X48))|(~v1_relat_1(X48)|~v4_relat_1(X48,X47)|~v1_funct_1(X48)|~v1_partfun1(X48,X47)|~v1_group_7(X48)|~v2_group_7(X48,X47)|~v3_group_7(X48,X47)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])).
cnf(c_0_58, negated_conjecture, (m1_subset_1(k5_gr_free0(esk1_0,esk3_0,X1,X2),u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))|~m1_subset_1(X2,u1_struct_0(k2_group_19(esk1_0,esk3_0,X1)))|~m1_subset_1(X1,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(spm,[status(thm)],[c_0_51, c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24])]), c_0_25])).
fof(c_0_59, plain, ![X53, X54, X55]:((X55=k2_group_1(X53,X54)|k6_algstr_0(X53,X55,X54)!=k1_group_1(X53)|~m1_subset_1(X55,u1_struct_0(X53))|~m1_subset_1(X54,u1_struct_0(X53))|(v2_struct_0(X53)|~v2_group_1(X53)|~v3_group_1(X53)|~l3_algstr_0(X53)))&(X54=k2_group_1(X53,X55)|k6_algstr_0(X53,X55,X54)!=k1_group_1(X53)|~m1_subset_1(X55,u1_struct_0(X53))|~m1_subset_1(X54,u1_struct_0(X53))|(v2_struct_0(X53)|~v2_group_1(X53)|~v3_group_1(X53)|~l3_algstr_0(X53)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])])).
cnf(c_0_60, negated_conjecture, (k5_gr_free0(esk1_0,esk3_0,esk2_0,k6_algstr_0(k2_group_19(esk1_0,esk3_0,esk2_0),k2_group_1(k2_group_19(esk1_0,esk3_0,esk2_0),esk4_0),esk4_0))=k6_algstr_0(k4_gr_free0(esk1_0,esk3_0),k5_gr_free0(esk1_0,esk3_0,esk2_0,k2_group_1(k2_group_19(esk1_0,esk3_0,esk2_0),esk4_0)),k5_gr_free0(esk1_0,esk3_0,esk2_0,esk4_0))|v2_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0))), inference(spm,[status(thm)],[c_0_53, c_0_54])).
cnf(c_0_61, negated_conjecture, (k6_algstr_0(k2_group_19(esk1_0,esk3_0,esk2_0),k2_group_1(k2_group_19(esk1_0,esk3_0,esk2_0),esk4_0),esk4_0)=k1_group_1(k2_group_19(esk1_0,esk3_0,esk2_0))|v2_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_28]), c_0_47]), c_0_46]), c_0_38])])).
cnf(c_0_62, negated_conjecture, (k5_gr_free0(esk1_0,esk3_0,esk2_0,k1_group_1(k2_group_19(esk1_0,esk3_0,esk2_0)))=k1_group_1(k4_gr_free0(esk1_0,esk3_0))), inference(spm,[status(thm)],[c_0_56, c_0_30])).
cnf(c_0_63, 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_57])).
cnf(c_0_64, 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_57])).
cnf(c_0_65, 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_57])).
cnf(c_0_66, negated_conjecture, (m1_subset_1(k5_gr_free0(esk1_0,esk3_0,esk2_0,X1),u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))|~m1_subset_1(X1,u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))), inference(spm,[status(thm)],[c_0_58, c_0_30])).
cnf(c_0_67, plain, (X1=k2_group_1(X2,X3)|v2_struct_0(X2)|k6_algstr_0(X2,X1,X3)!=k1_group_1(X2)|~m1_subset_1(X1,u1_struct_0(X2))|~m1_subset_1(X3,u1_struct_0(X2))|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_59])).
cnf(c_0_68, negated_conjecture, (k6_algstr_0(k4_gr_free0(esk1_0,esk3_0),k5_gr_free0(esk1_0,esk3_0,esk2_0,k2_group_1(k2_group_19(esk1_0,esk3_0,esk2_0),esk4_0)),k5_gr_free0(esk1_0,esk3_0,esk2_0,esk4_0))=k1_group_1(k4_gr_free0(esk1_0,esk3_0))|v2_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_62])).
cnf(c_0_69, negated_conjecture, (l3_algstr_0(k4_gr_free0(esk1_0,esk3_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(spm,[status(thm)],[c_0_63, c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24])])).
cnf(c_0_70, negated_conjecture, (v3_group_1(k4_gr_free0(esk1_0,esk3_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(spm,[status(thm)],[c_0_64, c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24])])).
cnf(c_0_71, negated_conjecture, (v2_group_1(k4_gr_free0(esk1_0,esk3_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(spm,[status(thm)],[c_0_65, c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24])])).
cnf(c_0_72, negated_conjecture, (m1_subset_1(k5_gr_free0(esk1_0,esk3_0,esk2_0,esk4_0),u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))), inference(spm,[status(thm)],[c_0_66, c_0_28])).
cnf(c_0_73, negated_conjecture, (k2_group_1(k4_gr_free0(esk1_0,esk3_0),k5_gr_free0(esk1_0,esk3_0,esk2_0,esk4_0))!=k5_gr_free0(esk1_0,esk3_0,esk2_0,k2_group_1(k2_group_19(esk1_0,esk3_0,esk2_0),esk4_0))), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_74, negated_conjecture, (v2_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0))|m1_subset_1(k5_gr_free0(esk1_0,esk3_0,esk2_0,k2_group_1(k2_group_19(esk1_0,esk3_0,esk2_0),esk4_0)),u1_struct_0(k4_gr_free0(esk1_0,esk3_0)))), inference(spm,[status(thm)],[c_0_66, c_0_54])).
cnf(c_0_75, 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_57])).
cnf(c_0_76, negated_conjecture, (v2_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0))|v2_struct_0(k4_gr_free0(esk1_0,esk3_0))), inference(csr,[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(spm,[status(thm)],[c_0_67, c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72])]), c_0_73]), c_0_74])).
cnf(c_0_77, plain, (v1_xboole_0(X1)|~v2_struct_0(k2_group_19(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)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_78, negated_conjecture, (v2_struct_0(k2_group_19(esk1_0,esk3_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(spm,[status(thm)],[c_0_75, c_0_76]), c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24])])).
cnf(c_0_79, 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_78]), c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24]), c_0_30])]), c_0_25]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 80
# Proof object clause steps            : 53
# Proof object formula steps           : 27
# Proof object conjectures             : 41
# Proof object clause conjectures      : 38
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 25
# Proof object initial formulas used   : 9
# Proof object generating inferences   : 25
# Proof object simplifying inferences  : 107
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 9
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 29
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 29
# Processed clauses                    : 166
# ...of these trivial                  : 0
# ...subsumed                          : 43
# ...remaining for further processing  : 123
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 4
# Backward-rewritten                   : 29
# Generated clauses                    : 178
# ...of the previous two non-trivial   : 177
# Contextual simplify-reflections      : 9
# Paramodulations                      : 176
# 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  : 60
#    Positive orientable unit clauses  : 20
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 38
# Current number of unprocessed clauses: 68
# ...number of literals in the above   : 176
# Current number of archived formulas  : 0
# Current number of archived clauses   : 61
# Clause-clause subsumption calls (NU) : 1480
# Rec. Clause-clause subsumption calls : 753
# Non-unit clause-clause subsumptions  : 56
# Unit Clause-clause subsumption calls : 29
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 24
# BW rewrite match successes           : 3
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 15717

# -------------------------------------------------
# User time                : 0.034 s
# System time              : 0.000 s
# Total time               : 0.034 s
# Maximum resident set size: 3432 pages
