# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
# and selection function SelectNewComplexAHPNS.
#
# Preprocessing time       : 0.017 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d4_group_1, axiom, ![X1]:(l3_algstr_0(X1)=>(v1_group_1(X1)=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>(X2=k1_group_1(X1)<=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>(k6_algstr_0(X1,X3,X2)=X3&k6_algstr_0(X1,X2,X3)=X3)))))), file('group_24/group_24__t79_group_24', d4_group_1)).
fof(dt_k1_group_1, axiom, ![X1]:(l3_algstr_0(X1)=>m1_subset_1(k1_group_1(X1),u1_struct_0(X1))), file('group_24/group_24__t79_group_24', dt_k1_group_1)).
fof(t79_group_24, conjecture, ![X1]:(m1_subset_1(X1,u1_struct_0(k4_gr_cy_1(np__2)))=>![X2]:(m1_subset_1(X2,u1_struct_0(k4_gr_cy_1(np__2)))=>(((X1=k5_numbers=>k8_group_1(k4_gr_cy_1(np__2),X1,X2)=X2)&(X2=k5_numbers=>k8_group_1(k4_gr_cy_1(np__2),X1,X2)=X1))&((X1=np__1&X2=np__1)=>k8_group_1(k4_gr_cy_1(np__2),X1,X2)=k1_group_1(k4_gr_cy_1(np__2)))))), file('group_24/group_24__t79_group_24', t79_group_24)).
fof(fc5_gr_cy_1, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>((((~(v2_struct_0(k4_gr_cy_1(X1)))&v8_struct_0(k4_gr_cy_1(X1)))&v15_algstr_0(k4_gr_cy_1(X1)))&v2_group_1(k4_gr_cy_1(X1)))&v3_group_1(k4_gr_cy_1(X1)))), file('group_24/group_24__t79_group_24', fc5_gr_cy_1)).
fof(dt_k4_gr_cy_1, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>((~(v2_struct_0(k4_gr_cy_1(X1)))&v15_algstr_0(k4_gr_cy_1(X1)))&l3_algstr_0(k4_gr_cy_1(X1)))), file('group_24/group_24__t79_group_24', dt_k4_gr_cy_1)).
fof(cc4_nat_1, axiom, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~(v2_xxreal_0(X1)))), file('group_24/group_24__t79_group_24', cc4_nat_1)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('group_24/group_24__t79_group_24', cc8_ordinal1)).
fof(cc1_group_1, axiom, ![X1]:(l3_algstr_0(X1)=>(v2_group_1(X1)=>v1_group_1(X1))), file('group_24/group_24__t79_group_24', cc1_group_1)).
fof(spc2_numerals, axiom, (v2_xxreal_0(np__2)&m1_subset_1(np__2,k4_ordinal1)), file('group_24/group_24__t79_group_24', spc2_numerals)).
fof(redefinition_k8_group_1, axiom, ![X1, X2, X3]:(((((~(v2_struct_0(X1))&v5_group_1(X1))&l3_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k8_group_1(X1,X2,X3)=k6_algstr_0(X1,X2,X3)), file('group_24/group_24__t79_group_24', redefinition_k8_group_1)).
fof(cc1_gr_cy_1, axiom, ![X1]:(l3_algstr_0(X1)=>((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&v1_gr_cy_1(X1))=>(((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&v5_group_1(X1)))), file('group_24/group_24__t79_group_24', cc1_gr_cy_1)).
fof(fc8_gr_cy_1, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>((~(v2_struct_0(k4_gr_cy_1(X1)))&v15_algstr_0(k4_gr_cy_1(X1)))&v1_gr_cy_1(k4_gr_cy_1(X1)))), file('group_24/group_24__t79_group_24', fc8_gr_cy_1)).
fof(commutativity_k8_group_1, axiom, ![X1, X2, X3]:(((((~(v2_struct_0(X1))&v5_group_1(X1))&l3_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k8_group_1(X1,X2,X3)=k8_group_1(X1,X3,X2)), file('group_24/group_24__t79_group_24', commutativity_k8_group_1)).
fof(t14_gr_cy_1, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>k1_group_1(k4_gr_cy_1(X1))=k5_numbers), file('group_24/group_24__t79_group_24', t14_gr_cy_1)).
fof(t77_group_24, axiom, ![X1]:(m1_subset_1(X1,u1_struct_0(k4_gr_cy_1(np__2)))=>(X1=np__1=>k8_group_1(k4_gr_cy_1(np__2),X1,X1)=k1_group_1(k4_gr_cy_1(np__2)))), file('group_24/group_24__t79_group_24', t77_group_24)).
fof(c_0_15, plain, ![X34, X35, X36]:(((k6_algstr_0(X34,X36,X35)=X36|~m1_subset_1(X36,u1_struct_0(X34))|X35!=k1_group_1(X34)|~m1_subset_1(X35,u1_struct_0(X34))|~v1_group_1(X34)|~l3_algstr_0(X34))&(k6_algstr_0(X34,X35,X36)=X36|~m1_subset_1(X36,u1_struct_0(X34))|X35!=k1_group_1(X34)|~m1_subset_1(X35,u1_struct_0(X34))|~v1_group_1(X34)|~l3_algstr_0(X34)))&((m1_subset_1(esk3_2(X34,X35),u1_struct_0(X34))|X35=k1_group_1(X34)|~m1_subset_1(X35,u1_struct_0(X34))|~v1_group_1(X34)|~l3_algstr_0(X34))&(k6_algstr_0(X34,esk3_2(X34,X35),X35)!=esk3_2(X34,X35)|k6_algstr_0(X34,X35,esk3_2(X34,X35))!=esk3_2(X34,X35)|X35=k1_group_1(X34)|~m1_subset_1(X35,u1_struct_0(X34))|~v1_group_1(X34)|~l3_algstr_0(X34)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_group_1])])])])])).
fof(c_0_16, plain, ![X38]:(~l3_algstr_0(X38)|m1_subset_1(k1_group_1(X38),u1_struct_0(X38))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_group_1])])).
fof(c_0_17, negated_conjecture, ~(![X1]:(m1_subset_1(X1,u1_struct_0(k4_gr_cy_1(np__2)))=>![X2]:(m1_subset_1(X2,u1_struct_0(k4_gr_cy_1(np__2)))=>(((X1=k5_numbers=>k8_group_1(k4_gr_cy_1(np__2),X1,X2)=X2)&(X2=k5_numbers=>k8_group_1(k4_gr_cy_1(np__2),X1,X2)=X1))&((X1=np__1&X2=np__1)=>k8_group_1(k4_gr_cy_1(np__2),X1,X2)=k1_group_1(k4_gr_cy_1(np__2))))))), inference(assume_negation,[status(cth)],[t79_group_24])).
fof(c_0_18, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>((((~v2_struct_0(k4_gr_cy_1(X1))&v8_struct_0(k4_gr_cy_1(X1)))&v15_algstr_0(k4_gr_cy_1(X1)))&v2_group_1(k4_gr_cy_1(X1)))&v3_group_1(k4_gr_cy_1(X1)))), inference(fof_simplification,[status(thm)],[fc5_gr_cy_1])).
fof(c_0_19, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>((~v2_struct_0(k4_gr_cy_1(X1))&v15_algstr_0(k4_gr_cy_1(X1)))&l3_algstr_0(k4_gr_cy_1(X1)))), inference(fof_simplification,[status(thm)],[dt_k4_gr_cy_1])).
fof(c_0_20, plain, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~v2_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc4_nat_1])).
fof(c_0_21, plain, ![X30]:(~m1_subset_1(X30,k4_ordinal1)|v7_ordinal1(X30)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
cnf(c_0_22, plain, (k6_algstr_0(X1,X2,X3)=X2|~m1_subset_1(X2,u1_struct_0(X1))|X3!=k1_group_1(X1)|~m1_subset_1(X3,u1_struct_0(X1))|~v1_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_23, plain, (m1_subset_1(k1_group_1(X1),u1_struct_0(X1))|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
fof(c_0_24, negated_conjecture, (m1_subset_1(esk1_0,u1_struct_0(k4_gr_cy_1(np__2)))&(m1_subset_1(esk2_0,u1_struct_0(k4_gr_cy_1(np__2)))&(((((esk1_0=np__1|(esk2_0=k5_numbers|esk1_0=k5_numbers))&(esk2_0=np__1|(esk2_0=k5_numbers|esk1_0=k5_numbers)))&(k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=k1_group_1(k4_gr_cy_1(np__2))|(esk2_0=k5_numbers|esk1_0=k5_numbers)))&(((esk1_0=np__1|(k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=esk1_0|esk1_0=k5_numbers))&(esk2_0=np__1|(k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=esk1_0|esk1_0=k5_numbers)))&(k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=k1_group_1(k4_gr_cy_1(np__2))|(k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=esk1_0|esk1_0=k5_numbers))))&((((esk1_0=np__1|(esk2_0=k5_numbers|k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=esk2_0))&(esk2_0=np__1|(esk2_0=k5_numbers|k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=esk2_0)))&(k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=k1_group_1(k4_gr_cy_1(np__2))|(esk2_0=k5_numbers|k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=esk2_0)))&(((esk1_0=np__1|(k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=esk1_0|k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=esk2_0))&(esk2_0=np__1|(k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=esk1_0|k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=esk2_0)))&(k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=k1_group_1(k4_gr_cy_1(np__2))|(k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=esk1_0|k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=esk2_0))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])).
fof(c_0_25, plain, ![X28]:(~l3_algstr_0(X28)|(~v2_group_1(X28)|v1_group_1(X28))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_group_1])])).
fof(c_0_26, plain, ![X40]:(((((~v2_struct_0(k4_gr_cy_1(X40))|(~v7_ordinal1(X40)|v8_ordinal1(X40)))&(v8_struct_0(k4_gr_cy_1(X40))|(~v7_ordinal1(X40)|v8_ordinal1(X40))))&(v15_algstr_0(k4_gr_cy_1(X40))|(~v7_ordinal1(X40)|v8_ordinal1(X40))))&(v2_group_1(k4_gr_cy_1(X40))|(~v7_ordinal1(X40)|v8_ordinal1(X40))))&(v3_group_1(k4_gr_cy_1(X40))|(~v7_ordinal1(X40)|v8_ordinal1(X40)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
fof(c_0_27, plain, ![X39]:(((~v2_struct_0(k4_gr_cy_1(X39))|(~v7_ordinal1(X39)|v8_ordinal1(X39)))&(v15_algstr_0(k4_gr_cy_1(X39))|(~v7_ordinal1(X39)|v8_ordinal1(X39))))&(l3_algstr_0(k4_gr_cy_1(X39))|(~v7_ordinal1(X39)|v8_ordinal1(X39)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])).
fof(c_0_28, plain, ![X29]:((v7_ordinal1(X29)|(~v7_ordinal1(X29)|~v8_ordinal1(X29)))&(~v2_xxreal_0(X29)|(~v7_ordinal1(X29)|~v8_ordinal1(X29)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])).
cnf(c_0_29, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_30, plain, (m1_subset_1(np__2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
fof(c_0_31, plain, ![X1, X2, X3]:(((((~v2_struct_0(X1)&v5_group_1(X1))&l3_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k8_group_1(X1,X2,X3)=k6_algstr_0(X1,X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k8_group_1])).
cnf(c_0_32, plain, (k6_algstr_0(X1,X2,k1_group_1(X1))=X2|~v1_group_1(X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_22]), c_0_23])).
cnf(c_0_33, negated_conjecture, (m1_subset_1(esk1_0,u1_struct_0(k4_gr_cy_1(np__2)))), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_34, plain, (v1_group_1(X1)|~l3_algstr_0(X1)|~v2_group_1(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_35, plain, (v2_group_1(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_36, plain, (l3_algstr_0(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_37, plain, (~v2_xxreal_0(X1)|~v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_38, plain, (v2_xxreal_0(np__2)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
cnf(c_0_39, plain, (v7_ordinal1(np__2)), inference(spm,[status(thm)],[c_0_29, c_0_30])).
cnf(c_0_40, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k4_gr_cy_1(np__2)))), inference(split_conjunct,[status(thm)],[c_0_24])).
fof(c_0_41, plain, ![X42, X43, X44]:(v2_struct_0(X42)|~v5_group_1(X42)|~l3_algstr_0(X42)|~m1_subset_1(X43,u1_struct_0(X42))|~m1_subset_1(X44,u1_struct_0(X42))|k8_group_1(X42,X43,X44)=k6_algstr_0(X42,X43,X44)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])).
cnf(c_0_42, negated_conjecture, (k6_algstr_0(k4_gr_cy_1(np__2),esk1_0,k1_group_1(k4_gr_cy_1(np__2)))=esk1_0|~v1_group_1(k4_gr_cy_1(np__2))|~l3_algstr_0(k4_gr_cy_1(np__2))), inference(spm,[status(thm)],[c_0_32, c_0_33])).
cnf(c_0_43, plain, (v8_ordinal1(X1)|v1_group_1(k4_gr_cy_1(X1))|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36])).
cnf(c_0_44, plain, (~v8_ordinal1(np__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_39])])).
fof(c_0_45, plain, ![X1]:(l3_algstr_0(X1)=>((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&v1_gr_cy_1(X1))=>(((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&v5_group_1(X1)))), inference(fof_simplification,[status(thm)],[cc1_gr_cy_1])).
fof(c_0_46, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>((~v2_struct_0(k4_gr_cy_1(X1))&v15_algstr_0(k4_gr_cy_1(X1)))&v1_gr_cy_1(k4_gr_cy_1(X1)))), inference(fof_simplification,[status(thm)],[fc8_gr_cy_1])).
cnf(c_0_47, negated_conjecture, (k6_algstr_0(k4_gr_cy_1(np__2),esk2_0,k1_group_1(k4_gr_cy_1(np__2)))=esk2_0|~v1_group_1(k4_gr_cy_1(np__2))|~l3_algstr_0(k4_gr_cy_1(np__2))), inference(spm,[status(thm)],[c_0_32, c_0_40])).
cnf(c_0_48, plain, (v2_struct_0(X1)|k8_group_1(X1,X2,X3)=k6_algstr_0(X1,X2,X3)|~v5_group_1(X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_49, negated_conjecture, (k6_algstr_0(k4_gr_cy_1(np__2),esk1_0,k1_group_1(k4_gr_cy_1(np__2)))=esk1_0|~l3_algstr_0(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_39])]), c_0_44])).
fof(c_0_50, plain, ![X27]:((((~v2_struct_0(X27)|(v2_struct_0(X27)|~v2_group_1(X27)|~v3_group_1(X27)|~v1_gr_cy_1(X27))|~l3_algstr_0(X27))&(v2_group_1(X27)|(v2_struct_0(X27)|~v2_group_1(X27)|~v3_group_1(X27)|~v1_gr_cy_1(X27))|~l3_algstr_0(X27)))&(v3_group_1(X27)|(v2_struct_0(X27)|~v2_group_1(X27)|~v3_group_1(X27)|~v1_gr_cy_1(X27))|~l3_algstr_0(X27)))&(v5_group_1(X27)|(v2_struct_0(X27)|~v2_group_1(X27)|~v3_group_1(X27)|~v1_gr_cy_1(X27))|~l3_algstr_0(X27))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])).
fof(c_0_51, plain, ![X41]:(((~v2_struct_0(k4_gr_cy_1(X41))|(~v7_ordinal1(X41)|v8_ordinal1(X41)))&(v15_algstr_0(k4_gr_cy_1(X41))|(~v7_ordinal1(X41)|v8_ordinal1(X41))))&(v1_gr_cy_1(k4_gr_cy_1(X41))|(~v7_ordinal1(X41)|v8_ordinal1(X41)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])).
fof(c_0_52, plain, ![X1, X2, X3]:(((((~v2_struct_0(X1)&v5_group_1(X1))&l3_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k8_group_1(X1,X2,X3)=k8_group_1(X1,X3,X2)), inference(fof_simplification,[status(thm)],[commutativity_k8_group_1])).
cnf(c_0_53, negated_conjecture, (k6_algstr_0(k4_gr_cy_1(np__2),esk2_0,k1_group_1(k4_gr_cy_1(np__2)))=esk2_0|~l3_algstr_0(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_43]), c_0_39])]), c_0_44])).
cnf(c_0_54, plain, (k6_algstr_0(X1,X2,k1_group_1(X1))=k8_group_1(X1,X2,k1_group_1(X1))|v2_struct_0(X1)|~v5_group_1(X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(spm,[status(thm)],[c_0_48, c_0_23])).
cnf(c_0_55, negated_conjecture, (k6_algstr_0(k4_gr_cy_1(np__2),esk1_0,k1_group_1(k4_gr_cy_1(np__2)))=esk1_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_36]), c_0_39])]), c_0_44])).
cnf(c_0_56, plain, (v5_group_1(X1)|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~v1_gr_cy_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_50])).
cnf(c_0_57, plain, (v1_gr_cy_1(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_58, plain, (v3_group_1(k4_gr_cy_1(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_59, plain, (v8_ordinal1(X1)|~v2_struct_0(k4_gr_cy_1(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
fof(c_0_60, plain, ![X31, X32, X33]:(v2_struct_0(X31)|~v5_group_1(X31)|~l3_algstr_0(X31)|~m1_subset_1(X32,u1_struct_0(X31))|~m1_subset_1(X33,u1_struct_0(X31))|k8_group_1(X31,X32,X33)=k8_group_1(X31,X33,X32)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])).
cnf(c_0_61, negated_conjecture, (k6_algstr_0(k4_gr_cy_1(np__2),esk2_0,k1_group_1(k4_gr_cy_1(np__2)))=esk2_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_36]), c_0_39])]), c_0_44])).
cnf(c_0_62, negated_conjecture, (k8_group_1(k4_gr_cy_1(np__2),esk1_0,k1_group_1(k4_gr_cy_1(np__2)))=esk1_0|v2_struct_0(k4_gr_cy_1(np__2))|~v5_group_1(k4_gr_cy_1(np__2))|~l3_algstr_0(k4_gr_cy_1(np__2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_33]), c_0_55])).
cnf(c_0_63, plain, (v8_ordinal1(X1)|v5_group_1(k4_gr_cy_1(X1))|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_36]), c_0_35]), c_0_58]), c_0_59])).
fof(c_0_64, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>k1_group_1(k4_gr_cy_1(X1))=k5_numbers), inference(fof_simplification,[status(thm)],[t14_gr_cy_1])).
cnf(c_0_65, plain, (v2_struct_0(X1)|k8_group_1(X1,X2,X3)=k8_group_1(X1,X3,X2)|~v5_group_1(X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_66, negated_conjecture, (k8_group_1(k4_gr_cy_1(np__2),esk2_0,k1_group_1(k4_gr_cy_1(np__2)))=esk2_0|v2_struct_0(k4_gr_cy_1(np__2))|~v5_group_1(k4_gr_cy_1(np__2))|~l3_algstr_0(k4_gr_cy_1(np__2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_40]), c_0_61])).
cnf(c_0_67, negated_conjecture, (k8_group_1(k4_gr_cy_1(np__2),esk1_0,k1_group_1(k4_gr_cy_1(np__2)))=esk1_0|v2_struct_0(k4_gr_cy_1(np__2))|~l3_algstr_0(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_39])]), c_0_44])).
fof(c_0_68, plain, ![X45]:(~v7_ordinal1(X45)|v8_ordinal1(X45)|k1_group_1(k4_gr_cy_1(X45))=k5_numbers), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])).
cnf(c_0_69, plain, (k8_group_1(X1,X2,k1_group_1(X1))=k8_group_1(X1,k1_group_1(X1),X2)|v2_struct_0(X1)|~v5_group_1(X1)|~l3_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(spm,[status(thm)],[c_0_65, c_0_23])).
cnf(c_0_70, negated_conjecture, (k8_group_1(k4_gr_cy_1(np__2),esk2_0,k1_group_1(k4_gr_cy_1(np__2)))=esk2_0|v2_struct_0(k4_gr_cy_1(np__2))|~l3_algstr_0(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_63]), c_0_39])]), c_0_44])).
cnf(c_0_71, negated_conjecture, (k8_group_1(k4_gr_cy_1(np__2),esk1_0,k1_group_1(k4_gr_cy_1(np__2)))=esk1_0|v2_struct_0(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_36]), c_0_39])]), c_0_44])).
cnf(c_0_72, plain, (v8_ordinal1(X1)|k1_group_1(k4_gr_cy_1(X1))=k5_numbers|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_68])).
cnf(c_0_73, negated_conjecture, (k8_group_1(k4_gr_cy_1(np__2),k1_group_1(k4_gr_cy_1(np__2)),esk2_0)=k8_group_1(k4_gr_cy_1(np__2),esk2_0,k1_group_1(k4_gr_cy_1(np__2)))|v2_struct_0(k4_gr_cy_1(np__2))|~v5_group_1(k4_gr_cy_1(np__2))|~l3_algstr_0(k4_gr_cy_1(np__2))), inference(spm,[status(thm)],[c_0_69, c_0_40])).
cnf(c_0_74, negated_conjecture, (k8_group_1(k4_gr_cy_1(np__2),esk2_0,k1_group_1(k4_gr_cy_1(np__2)))=esk2_0|v2_struct_0(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_36]), c_0_39])]), c_0_44])).
cnf(c_0_75, negated_conjecture, (k8_group_1(k4_gr_cy_1(np__2),esk1_0,k5_numbers)=esk1_0|v2_struct_0(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_39])]), c_0_44])).
cnf(c_0_76, negated_conjecture, (esk1_0=np__1|esk2_0=k5_numbers|esk1_0=k5_numbers), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_77, negated_conjecture, (esk2_0=np__1|esk2_0=k5_numbers|esk1_0=k5_numbers), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_78, negated_conjecture, (k8_group_1(k4_gr_cy_1(np__2),k1_group_1(k4_gr_cy_1(np__2)),esk2_0)=k8_group_1(k4_gr_cy_1(np__2),esk2_0,k1_group_1(k4_gr_cy_1(np__2)))|v2_struct_0(k4_gr_cy_1(np__2))|~l3_algstr_0(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_63]), c_0_39])]), c_0_44])).
cnf(c_0_79, negated_conjecture, (k8_group_1(k4_gr_cy_1(np__2),esk2_0,k5_numbers)=esk2_0|v2_struct_0(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_72]), c_0_39])]), c_0_44])).
cnf(c_0_80, negated_conjecture, (k8_group_1(k4_gr_cy_1(np__2),esk1_0,k5_numbers)=esk1_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_75]), c_0_39])]), c_0_44])).
cnf(c_0_81, negated_conjecture, (k5_numbers=esk1_0|esk2_0=esk1_0|k5_numbers=esk2_0), inference(spm,[status(thm)],[c_0_76, c_0_77])).
cnf(c_0_82, negated_conjecture, (k8_group_1(k4_gr_cy_1(np__2),k1_group_1(k4_gr_cy_1(np__2)),esk2_0)=k8_group_1(k4_gr_cy_1(np__2),esk2_0,k1_group_1(k4_gr_cy_1(np__2)))|v2_struct_0(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_36]), c_0_39])]), c_0_44])).
cnf(c_0_83, negated_conjecture, (k8_group_1(k4_gr_cy_1(np__2),esk2_0,k5_numbers)=esk2_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_79]), c_0_39])]), c_0_44])).
cnf(c_0_84, negated_conjecture, (esk1_0=np__1|esk1_0=k5_numbers|k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=esk1_0), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_85, negated_conjecture, (k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)=esk1_0|esk2_0=esk1_0|k5_numbers=esk1_0), inference(spm,[status(thm)],[c_0_80, c_0_81])).
cnf(c_0_86, negated_conjecture, (esk2_0=np__1|esk1_0=k5_numbers|k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=esk1_0), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_87, negated_conjecture, (k8_group_1(k4_gr_cy_1(np__2),k5_numbers,esk2_0)=esk2_0|v2_struct_0(k4_gr_cy_1(np__2))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_72]), c_0_83]), c_0_39])]), c_0_44])).
cnf(c_0_88, negated_conjecture, (esk2_0=esk1_0|k5_numbers=esk1_0|np__1=esk1_0), inference(spm,[status(thm)],[c_0_84, c_0_85])).
cnf(c_0_89, negated_conjecture, (esk2_0=esk1_0|k5_numbers=esk1_0|np__1=esk2_0), inference(spm,[status(thm)],[c_0_86, c_0_85])).
fof(c_0_90, plain, ![X46]:(~m1_subset_1(X46,u1_struct_0(k4_gr_cy_1(np__2)))|(X46!=np__1|k8_group_1(k4_gr_cy_1(np__2),X46,X46)=k1_group_1(k4_gr_cy_1(np__2)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t77_group_24])])).
cnf(c_0_91, negated_conjecture, (k8_group_1(k4_gr_cy_1(np__2),k5_numbers,esk2_0)=esk2_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_87]), c_0_39])]), c_0_44])).
cnf(c_0_92, negated_conjecture, (k5_numbers=esk1_0|esk2_0=esk1_0), inference(spm,[status(thm)],[c_0_88, c_0_89])).
cnf(c_0_93, plain, (k8_group_1(k4_gr_cy_1(np__2),X1,X1)=k1_group_1(k4_gr_cy_1(np__2))|~m1_subset_1(X1,u1_struct_0(k4_gr_cy_1(np__2)))|X1!=np__1), inference(split_conjunct,[status(thm)],[c_0_90])).
cnf(c_0_94, negated_conjecture, (esk1_0=np__1|esk2_0=k5_numbers|k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=esk2_0), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_95, negated_conjecture, (k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)=esk2_0|esk2_0=esk1_0), inference(spm,[status(thm)],[c_0_91, c_0_92])).
cnf(c_0_96, negated_conjecture, (esk2_0=np__1|esk2_0=k5_numbers|k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=esk2_0), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_97, plain, (k1_group_1(k4_gr_cy_1(np__2))=k8_group_1(k4_gr_cy_1(np__2),np__1,np__1)|~m1_subset_1(np__1,u1_struct_0(k4_gr_cy_1(np__2)))), inference(er,[status(thm)],[c_0_93])).
cnf(c_0_98, negated_conjecture, (esk2_0=esk1_0|np__1=esk1_0|k5_numbers=esk2_0), inference(spm,[status(thm)],[c_0_94, c_0_95])).
cnf(c_0_99, negated_conjecture, (esk2_0=esk1_0|k5_numbers=esk2_0|np__1=esk2_0), inference(spm,[status(thm)],[c_0_96, c_0_95])).
cnf(c_0_100, negated_conjecture, (esk2_0=k5_numbers|esk1_0=k5_numbers|k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=k1_group_1(k4_gr_cy_1(np__2))), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_101, negated_conjecture, (k1_group_1(k4_gr_cy_1(np__2))=k8_group_1(k4_gr_cy_1(np__2),esk2_0,esk2_0)|k5_numbers=esk1_0|k5_numbers=esk2_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_77]), c_0_40])])).
cnf(c_0_102, negated_conjecture, (k5_numbers=esk2_0|esk2_0=esk1_0), inference(spm,[status(thm)],[c_0_98, c_0_99])).
cnf(c_0_103, negated_conjecture, (k5_numbers=esk1_0|k5_numbers=esk2_0|k8_group_1(k4_gr_cy_1(np__2),esk2_0,esk2_0)!=k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_100, c_0_101])).
cnf(c_0_104, negated_conjecture, (esk2_0=esk1_0), inference(spm,[status(thm)],[c_0_92, c_0_102])).
cnf(c_0_105, negated_conjecture, (k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=k1_group_1(k4_gr_cy_1(np__2))|k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=esk1_0|k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=esk2_0), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_106, negated_conjecture, (k5_numbers=esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_103, c_0_104]), c_0_104]), c_0_104]), c_0_104])])).
cnf(c_0_107, negated_conjecture, (k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=k5_numbers|k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=esk1_0|k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk2_0)!=esk2_0), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_72]), c_0_39])]), c_0_44])).
cnf(c_0_108, negated_conjecture, (k8_group_1(k4_gr_cy_1(np__2),esk1_0,esk1_0)=esk1_0), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91, c_0_104]), c_0_104]), c_0_106])).
cnf(c_0_109, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107, c_0_104]), c_0_104]), c_0_104]), c_0_104])]), c_0_108]), c_0_106]), c_0_108])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 110
# Proof object clause steps            : 72
# Proof object formula steps           : 38
# Proof object conjectures             : 50
# Proof object clause conjectures      : 47
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 27
# Proof object initial formulas used   : 15
# Proof object generating inferences   : 40
# Proof object simplifying inferences  : 83
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 17
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 46
# Removed in clause preprocessing      : 4
# Initial clauses in saturation        : 42
# Processed clauses                    : 234
# ...of these trivial                  : 12
# ...subsumed                          : 53
# ...remaining for further processing  : 168
# Other redundant clauses eliminated   : 3
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 39
# Backward-rewritten                   : 91
# Generated clauses                    : 306
# ...of the previous two non-trivial   : 342
# Contextual simplify-reflections      : 8
# Paramodulations                      : 302
# Factorizations                       : 1
# NegExts                              : 0
# Equation resolutions                 : 3
# 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  : 35
#    Positive orientable unit clauses  : 9
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 25
# Current number of unprocessed clauses: 105
# ...number of literals in the above   : 386
# Current number of archived formulas  : 0
# Current number of archived clauses   : 130
# Clause-clause subsumption calls (NU) : 1722
# Rec. Clause-clause subsumption calls : 305
# Non-unit clause-clause subsumptions  : 100
# Unit Clause-clause subsumption calls : 151
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 33
# BW rewrite match successes           : 12
# Condensation attempts                : 234
# Condensation successes               : 0
# Termbank termtop insertions          : 10210

# -------------------------------------------------
# User time                : 0.022 s
# System time              : 0.007 s
# Total time               : 0.028 s
# Maximum resident set size: 3524 pages
