# 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       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(dt_k1_group_6, axiom, ![X1, X2, X3]:(((((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))&v1_group_3(X3,X1))&m1_group_2(X3,X1))=>((v15_algstr_0(k1_group_6(X1,X2,X3))&v1_group_3(k1_group_6(X1,X2,X3),X2))&m1_group_6(k1_group_6(X1,X2,X3),X1,X2))), file('group_24/group_24__t49_group_24', dt_k1_group_6)).
fof(t49_group_24, conjecture, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>![X3]:(m1_group_2(X3,X1)=>(m1_group_6(X2,X1,X3)=>![X4]:((v1_group_3(X4,X1)&m1_group_2(X4,X1))=>(m1_group_6(X4,X1,X3)=>(r1_group_24(X3,X2,k1_group_6(X1,X3,X4))<=>(k7_group_4(X1,X4,X2)=u1_struct_0(X3)&k2_group_6(X1,X2,X4)=k6_group_2(X3))))))))), file('group_24/group_24__t49_group_24', t49_group_24)).
fof(redefinition_m1_group_6, axiom, ![X1, X2]:(((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))=>![X3]:(m1_group_6(X3,X1,X2)<=>m1_group_2(X3,X2))), file('group_24/group_24__t49_group_24', redefinition_m1_group_6)).
fof(dt_m1_group_2, axiom, ![X1]:(((~(v2_struct_0(X1))&v2_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>((~(v2_struct_0(X2))&v2_group_1(X2))&l3_algstr_0(X2)))), file('group_24/group_24__t49_group_24', dt_m1_group_2)).
fof(redefinition_k10_group_2, axiom, ![X1, X2, X3]:((((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))&m1_group_2(X3,X1))=>k10_group_2(X1,X2,X3)=k9_group_2(X1,X2,X3)), file('group_24/group_24__t49_group_24', redefinition_k10_group_2)).
fof(redefinition_k2_group_6, axiom, ![X1, X2, X3]:(((((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))&v1_group_3(X3,X1))&m1_group_2(X3,X1))=>k2_group_6(X1,X2,X3)=k9_group_2(X1,X2,X3)), file('group_24/group_24__t49_group_24', redefinition_k2_group_6)).
fof(t15_group_24, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>![X3]:((v1_group_3(X3,X1)&m1_group_2(X3,X1))=>(m1_group_6(X3,X1,X2)=>g3_algstr_0(u1_struct_0(X3),u2_algstr_0(X3))=g3_algstr_0(u1_struct_0(k1_group_6(X1,X2,X3)),u2_algstr_0(k1_group_6(X1,X2,X3))))))), file('group_24/group_24__t49_group_24', t15_group_24)).
fof(dt_m1_group_6, axiom, ![X1, X2]:(((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))=>![X3]:(m1_group_6(X3,X1,X2)=>m1_group_2(X3,X1))), file('group_24/group_24__t49_group_24', dt_m1_group_6)).
fof(t47_group_24, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>![X3]:(m1_group_2(X3,X1)=>(m1_group_6(X2,X1,X3)=>![X4]:(m1_group_2(X4,X1)=>((v1_group_3(X4,X3)&m1_group_6(X4,X1,X3))=>(r1_group_24(X3,X2,X4)<=>(k7_group_4(X1,X4,X2)=u1_struct_0(X3)&k10_group_2(X1,X2,X4)=k6_group_2(X3))))))))), file('group_24/group_24__t49_group_24', t47_group_24)).
fof(abstractness_v15_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>(v15_algstr_0(X1)=>X1=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))), file('group_24/group_24__t49_group_24', abstractness_v15_algstr_0)).
fof(t8_group_6, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>![X3]:((v1_group_3(X3,X1)&m1_group_2(X3,X1))=>(m1_group_6(X3,X1,X2)=>(v1_group_3(X3,X2)&m1_group_6(X3,X1,X2)))))), file('group_24/group_24__t49_group_24', t8_group_6)).
fof(cc1_group_2, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>v3_group_1(X2))), file('group_24/group_24__t49_group_24', cc1_group_2)).
fof(d4_group_24, axiom, ![X1]:((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~(v2_struct_0(X2))&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:((((~(v2_struct_0(X3))&v2_group_1(X3))&v3_group_1(X3))&l3_algstr_0(X3))=>(r1_group_24(X1,X2,X3)<=>?[X4]:((v15_algstr_0(X4)&m1_group_2(X4,X1))&?[X5]:((((((v15_algstr_0(X5)&v1_group_3(X5,X1))&m1_group_2(X5,X1))&X4=g3_algstr_0(u1_struct_0(X2),u2_algstr_0(X2)))&X5=g3_algstr_0(u1_struct_0(X3),u2_algstr_0(X3)))&k7_group_4(X1,X4,X5)=u1_struct_0(X1))&r1_group_2(X1,k2_group_6(X1,X4,X5),k6_group_2(X1)))))))), file('group_24/group_24__t49_group_24', d4_group_24)).
fof(fc1_group_1, axiom, ![X1]:((~(v2_struct_0(X1))&l3_algstr_0(X1))=>(~(v2_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))))&v15_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))))), file('group_24/group_24__t49_group_24', fc1_group_1)).
fof(c_0_14, plain, ![X1, X2, X3]:(((((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))&v1_group_3(X3,X1))&m1_group_2(X3,X1))=>((v15_algstr_0(k1_group_6(X1,X2,X3))&v1_group_3(k1_group_6(X1,X2,X3),X2))&m1_group_6(k1_group_6(X1,X2,X3),X1,X2))), inference(fof_simplification,[status(thm)],[dt_k1_group_6])).
fof(c_0_15, negated_conjecture, ~(![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>![X3]:(m1_group_2(X3,X1)=>(m1_group_6(X2,X1,X3)=>![X4]:((v1_group_3(X4,X1)&m1_group_2(X4,X1))=>(m1_group_6(X4,X1,X3)=>(r1_group_24(X3,X2,k1_group_6(X1,X3,X4))<=>(k7_group_4(X1,X4,X2)=u1_struct_0(X3)&k2_group_6(X1,X2,X4)=k6_group_2(X3)))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t49_group_24])])).
fof(c_0_16, plain, ![X60, X61, X62]:(((v15_algstr_0(k1_group_6(X60,X61,X62))|(v2_struct_0(X60)|~v2_group_1(X60)|~v3_group_1(X60)|~l3_algstr_0(X60)|~m1_group_2(X61,X60)|~v1_group_3(X62,X60)|~m1_group_2(X62,X60)))&(v1_group_3(k1_group_6(X60,X61,X62),X61)|(v2_struct_0(X60)|~v2_group_1(X60)|~v3_group_1(X60)|~l3_algstr_0(X60)|~m1_group_2(X61,X60)|~v1_group_3(X62,X60)|~m1_group_2(X62,X60))))&(m1_group_6(k1_group_6(X60,X61,X62),X60,X61)|(v2_struct_0(X60)|~v2_group_1(X60)|~v3_group_1(X60)|~l3_algstr_0(X60)|~m1_group_2(X61,X60)|~v1_group_3(X62,X60)|~m1_group_2(X62,X60)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])).
fof(c_0_17, negated_conjecture, ((((~v2_struct_0(esk1_0)&v2_group_1(esk1_0))&v3_group_1(esk1_0))&l3_algstr_0(esk1_0))&(m1_group_2(esk2_0,esk1_0)&(m1_group_2(esk3_0,esk1_0)&(m1_group_6(esk2_0,esk1_0,esk3_0)&((v1_group_3(esk4_0,esk1_0)&m1_group_2(esk4_0,esk1_0))&(m1_group_6(esk4_0,esk1_0,esk3_0)&((~r1_group_24(esk3_0,esk2_0,k1_group_6(esk1_0,esk3_0,esk4_0))|(k7_group_4(esk1_0,esk4_0,esk2_0)!=u1_struct_0(esk3_0)|k2_group_6(esk1_0,esk2_0,esk4_0)!=k6_group_2(esk3_0)))&((k7_group_4(esk1_0,esk4_0,esk2_0)=u1_struct_0(esk3_0)|r1_group_24(esk3_0,esk2_0,k1_group_6(esk1_0,esk3_0,esk4_0)))&(k2_group_6(esk1_0,esk2_0,esk4_0)=k6_group_2(esk3_0)|r1_group_24(esk3_0,esk2_0,k1_group_6(esk1_0,esk3_0,esk4_0))))))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])).
fof(c_0_18, plain, ![X1, X2]:(((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))=>![X3]:(m1_group_6(X3,X1,X2)<=>m1_group_2(X3,X2))), inference(fof_simplification,[status(thm)],[redefinition_m1_group_6])).
cnf(c_0_19, plain, (m1_group_6(k1_group_6(X1,X2,X3),X1,X2)|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)|~v1_group_3(X3,X1)|~m1_group_2(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_20, negated_conjecture, (v1_group_3(esk4_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_21, negated_conjecture, (m1_group_2(esk4_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_22, negated_conjecture, (l3_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_23, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_24, negated_conjecture, (v2_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_25, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
fof(c_0_26, plain, ![X1]:(((~v2_struct_0(X1)&v2_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>((~v2_struct_0(X2)&v2_group_1(X2))&l3_algstr_0(X2)))), inference(fof_simplification,[status(thm)],[dt_m1_group_2])).
fof(c_0_27, plain, ![X1, X2, X3]:((((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))&m1_group_2(X3,X1))=>k10_group_2(X1,X2,X3)=k9_group_2(X1,X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k10_group_2])).
fof(c_0_28, plain, ![X75, X76, X77]:((~m1_group_6(X77,X75,X76)|m1_group_2(X77,X76)|(v2_struct_0(X75)|~v2_group_1(X75)|~v3_group_1(X75)|~l3_algstr_0(X75)|~m1_group_2(X76,X75)))&(~m1_group_2(X77,X76)|m1_group_6(X77,X75,X76)|(v2_struct_0(X75)|~v2_group_1(X75)|~v3_group_1(X75)|~l3_algstr_0(X75)|~m1_group_2(X76,X75)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])).
cnf(c_0_29, negated_conjecture, (m1_group_6(k1_group_6(esk1_0,X1,esk4_0),esk1_0,X1)|~m1_group_2(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(spm,[status(thm)],[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_group_2(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
fof(c_0_31, plain, ![X63, X64]:(((~v2_struct_0(X64)|~m1_group_2(X64,X63)|(v2_struct_0(X63)|~v2_group_1(X63)|~l3_algstr_0(X63)))&(v2_group_1(X64)|~m1_group_2(X64,X63)|(v2_struct_0(X63)|~v2_group_1(X63)|~l3_algstr_0(X63))))&(l3_algstr_0(X64)|~m1_group_2(X64,X63)|(v2_struct_0(X63)|~v2_group_1(X63)|~l3_algstr_0(X63)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])).
fof(c_0_32, plain, ![X1, X2, X3]:(((((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))&v1_group_3(X3,X1))&m1_group_2(X3,X1))=>k2_group_6(X1,X2,X3)=k9_group_2(X1,X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k2_group_6])).
fof(c_0_33, plain, ![X69, X70, X71]:(v2_struct_0(X69)|~v2_group_1(X69)|~v3_group_1(X69)|~l3_algstr_0(X69)|~m1_group_2(X70,X69)|~m1_group_2(X71,X69)|k10_group_2(X69,X70,X71)=k9_group_2(X69,X70,X71)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])).
fof(c_0_34, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>![X3]:((v1_group_3(X3,X1)&m1_group_2(X3,X1))=>(m1_group_6(X3,X1,X2)=>g3_algstr_0(u1_struct_0(X3),u2_algstr_0(X3))=g3_algstr_0(u1_struct_0(k1_group_6(X1,X2,X3)),u2_algstr_0(k1_group_6(X1,X2,X3))))))), inference(fof_simplification,[status(thm)],[t15_group_24])).
fof(c_0_35, plain, ![X1, X2]:(((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))&m1_group_2(X2,X1))=>![X3]:(m1_group_6(X3,X1,X2)=>m1_group_2(X3,X1))), inference(fof_simplification,[status(thm)],[dt_m1_group_6])).
cnf(c_0_36, plain, (v15_algstr_0(k1_group_6(X1,X2,X3))|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)|~v1_group_3(X3,X1)|~m1_group_2(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_37, plain, (m1_group_2(X1,X3)|v2_struct_0(X2)|~m1_group_6(X1,X2,X3)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)|~m1_group_2(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_38, negated_conjecture, (m1_group_6(k1_group_6(esk1_0,esk3_0,esk4_0),esk1_0,esk3_0)), inference(spm,[status(thm)],[c_0_29, c_0_30])).
cnf(c_0_39, plain, (l3_algstr_0(X1)|v2_struct_0(X2)|~m1_group_2(X1,X2)|~v2_group_1(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_40, plain, (v2_group_1(X1)|v2_struct_0(X2)|~m1_group_2(X1,X2)|~v2_group_1(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_41, plain, (v2_struct_0(X2)|~v2_struct_0(X1)|~m1_group_2(X1,X2)|~v2_group_1(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_31])).
fof(c_0_42, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>![X3]:(m1_group_2(X3,X1)=>(m1_group_6(X2,X1,X3)=>![X4]:(m1_group_2(X4,X1)=>((v1_group_3(X4,X3)&m1_group_6(X4,X1,X3))=>(r1_group_24(X3,X2,X4)<=>(k7_group_4(X1,X4,X2)=u1_struct_0(X3)&k10_group_2(X1,X2,X4)=k6_group_2(X3))))))))), inference(fof_simplification,[status(thm)],[t47_group_24])).
fof(c_0_43, plain, ![X72, X73, X74]:(v2_struct_0(X72)|~v2_group_1(X72)|~v3_group_1(X72)|~l3_algstr_0(X72)|~m1_group_2(X73,X72)|~v1_group_3(X74,X72)|~m1_group_2(X74,X72)|k2_group_6(X72,X73,X74)=k9_group_2(X72,X73,X74)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])).
cnf(c_0_44, plain, (v2_struct_0(X1)|k10_group_2(X1,X2,X3)=k9_group_2(X1,X2,X3)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)|~m1_group_2(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_33])).
fof(c_0_45, plain, ![X78, X79, X80]:(v2_struct_0(X78)|~v2_group_1(X78)|~v3_group_1(X78)|~l3_algstr_0(X78)|(~m1_group_2(X79,X78)|(~v1_group_3(X80,X78)|~m1_group_2(X80,X78)|(~m1_group_6(X80,X78,X79)|g3_algstr_0(u1_struct_0(X80),u2_algstr_0(X80))=g3_algstr_0(u1_struct_0(k1_group_6(X78,X79,X80)),u2_algstr_0(k1_group_6(X78,X79,X80))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])).
fof(c_0_46, plain, ![X65, X66, X67]:(v2_struct_0(X65)|~v2_group_1(X65)|~v3_group_1(X65)|~l3_algstr_0(X65)|~m1_group_2(X66,X65)|(~m1_group_6(X67,X65,X66)|m1_group_2(X67,X65))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])).
fof(c_0_47, plain, ![X50]:(~l3_algstr_0(X50)|(~v15_algstr_0(X50)|X50=g3_algstr_0(u1_struct_0(X50),u2_algstr_0(X50)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v15_algstr_0])])).
cnf(c_0_48, negated_conjecture, (v15_algstr_0(k1_group_6(esk1_0,X1,esk4_0))|~m1_group_2(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(spm,[status(thm)],[c_0_36, c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24])]), c_0_25])).
cnf(c_0_49, negated_conjecture, (m1_group_2(k1_group_6(esk1_0,esk3_0,esk4_0),esk3_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(spm,[status(thm)],[c_0_37, c_0_38]), c_0_30]), c_0_22]), c_0_23]), c_0_24])]), c_0_25])).
cnf(c_0_50, negated_conjecture, (l3_algstr_0(esk3_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_30]), c_0_22]), c_0_24])]), c_0_25])).
cnf(c_0_51, negated_conjecture, (v2_group_1(esk3_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_30]), c_0_22]), c_0_24])]), c_0_25])).
cnf(c_0_52, negated_conjecture, (~v2_struct_0(esk3_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_30]), c_0_22]), c_0_24])]), c_0_25])).
fof(c_0_53, plain, ![X81, X82, X83, X84]:(((k7_group_4(X81,X84,X82)=u1_struct_0(X83)|~r1_group_24(X83,X82,X84)|(~v1_group_3(X84,X83)|~m1_group_6(X84,X81,X83))|~m1_group_2(X84,X81)|~m1_group_6(X82,X81,X83)|~m1_group_2(X83,X81)|~m1_group_2(X82,X81)|(v2_struct_0(X81)|~v2_group_1(X81)|~v3_group_1(X81)|~l3_algstr_0(X81)))&(k10_group_2(X81,X82,X84)=k6_group_2(X83)|~r1_group_24(X83,X82,X84)|(~v1_group_3(X84,X83)|~m1_group_6(X84,X81,X83))|~m1_group_2(X84,X81)|~m1_group_6(X82,X81,X83)|~m1_group_2(X83,X81)|~m1_group_2(X82,X81)|(v2_struct_0(X81)|~v2_group_1(X81)|~v3_group_1(X81)|~l3_algstr_0(X81))))&(k7_group_4(X81,X84,X82)!=u1_struct_0(X83)|k10_group_2(X81,X82,X84)!=k6_group_2(X83)|r1_group_24(X83,X82,X84)|(~v1_group_3(X84,X83)|~m1_group_6(X84,X81,X83))|~m1_group_2(X84,X81)|~m1_group_6(X82,X81,X83)|~m1_group_2(X83,X81)|~m1_group_2(X82,X81)|(v2_struct_0(X81)|~v2_group_1(X81)|~v3_group_1(X81)|~l3_algstr_0(X81)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])])).
cnf(c_0_54, plain, (v2_struct_0(X1)|k2_group_6(X1,X2,X3)=k9_group_2(X1,X2,X3)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)|~v1_group_3(X3,X1)|~m1_group_2(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_55, negated_conjecture, (k9_group_2(esk1_0,X1,esk4_0)=k10_group_2(esk1_0,X1,esk4_0)|~m1_group_2(X1,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_21]), c_0_22]), c_0_23]), c_0_24])]), c_0_25])).
cnf(c_0_56, negated_conjecture, (m1_group_2(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_57, plain, (v2_struct_0(X1)|g3_algstr_0(u1_struct_0(X3),u2_algstr_0(X3))=g3_algstr_0(u1_struct_0(k1_group_6(X1,X2,X3)),u2_algstr_0(k1_group_6(X1,X2,X3)))|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)|~v1_group_3(X3,X1)|~m1_group_2(X3,X1)|~m1_group_6(X3,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_58, plain, (v2_struct_0(X1)|m1_group_2(X3,X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)|~m1_group_6(X3,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_59, plain, (X1=g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))|~l3_algstr_0(X1)|~v15_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_60, negated_conjecture, (v15_algstr_0(k1_group_6(esk1_0,esk3_0,esk4_0))), inference(spm,[status(thm)],[c_0_48, c_0_30])).
cnf(c_0_61, negated_conjecture, (l3_algstr_0(k1_group_6(esk1_0,esk3_0,esk4_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_49]), c_0_50]), c_0_51])]), c_0_52])).
cnf(c_0_62, plain, (r1_group_24(X4,X3,X2)|v2_struct_0(X1)|k7_group_4(X1,X2,X3)!=u1_struct_0(X4)|k10_group_2(X1,X3,X2)!=k6_group_2(X4)|~v1_group_3(X2,X4)|~m1_group_6(X2,X1,X4)|~m1_group_2(X2,X1)|~m1_group_6(X3,X1,X4)|~m1_group_2(X4,X1)|~m1_group_2(X3,X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_63, negated_conjecture, (k9_group_2(esk1_0,X1,esk4_0)=k2_group_6(esk1_0,X1,esk4_0)|~m1_group_2(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(spm,[status(thm)],[c_0_54, c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24])]), c_0_25])).
cnf(c_0_64, negated_conjecture, (k9_group_2(esk1_0,esk2_0,esk4_0)=k10_group_2(esk1_0,esk2_0,esk4_0)), inference(spm,[status(thm)],[c_0_55, c_0_56])).
cnf(c_0_65, plain, (g3_algstr_0(u1_struct_0(k1_group_6(X1,X2,X3)),u2_algstr_0(k1_group_6(X1,X2,X3)))=g3_algstr_0(u1_struct_0(X3),u2_algstr_0(X3))|v2_struct_0(X1)|~v1_group_3(X3,X1)|~m1_group_6(X3,X1,X2)|~m1_group_2(X2,X1)|~l3_algstr_0(X1)|~v3_group_1(X1)|~v2_group_1(X1)), inference(csr,[status(thm)],[c_0_57, c_0_58])).
cnf(c_0_66, negated_conjecture, (m1_group_6(esk4_0,esk1_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_67, negated_conjecture, (g3_algstr_0(u1_struct_0(k1_group_6(esk1_0,esk3_0,esk4_0)),u2_algstr_0(k1_group_6(esk1_0,esk3_0,esk4_0)))=k1_group_6(esk1_0,esk3_0,esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_61])])).
fof(c_0_68, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>![X3]:((v1_group_3(X3,X1)&m1_group_2(X3,X1))=>(m1_group_6(X3,X1,X2)=>(v1_group_3(X3,X2)&m1_group_6(X3,X1,X2)))))), inference(fof_simplification,[status(thm)],[t8_group_6])).
fof(c_0_69, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:(m1_group_2(X2,X1)=>v3_group_1(X2))), inference(fof_simplification,[status(thm)],[cc1_group_2])).
cnf(c_0_70, plain, (r1_group_24(X1,X2,X3)|v2_struct_0(X4)|k7_group_4(X4,X3,X2)!=u1_struct_0(X1)|k10_group_2(X4,X2,X3)!=k6_group_2(X1)|~v1_group_3(X3,X1)|~m1_group_6(X2,X4,X1)|~m1_group_6(X3,X4,X1)|~m1_group_2(X1,X4)|~l3_algstr_0(X4)|~v3_group_1(X4)|~v2_group_1(X4)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_62, c_0_58]), c_0_58])).
cnf(c_0_71, negated_conjecture, (k10_group_2(esk1_0,esk2_0,esk4_0)=k2_group_6(esk1_0,esk2_0,esk4_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_56]), c_0_64])).
cnf(c_0_72, negated_conjecture, (k2_group_6(esk1_0,esk2_0,esk4_0)=k6_group_2(esk3_0)|r1_group_24(esk3_0,esk2_0,k1_group_6(esk1_0,esk3_0,esk4_0))), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_73, negated_conjecture, (k1_group_6(esk1_0,esk3_0,esk4_0)=g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0))), inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_66]), c_0_20]), c_0_30]), c_0_22]), c_0_23]), c_0_24])]), c_0_25]), c_0_67])).
fof(c_0_74, plain, ![X85, X86, X87]:((v1_group_3(X87,X86)|~m1_group_6(X87,X85,X86)|(~v1_group_3(X87,X85)|~m1_group_2(X87,X85))|~m1_group_2(X86,X85)|(v2_struct_0(X85)|~v2_group_1(X85)|~v3_group_1(X85)|~l3_algstr_0(X85)))&(m1_group_6(X87,X85,X86)|~m1_group_6(X87,X85,X86)|(~v1_group_3(X87,X85)|~m1_group_2(X87,X85))|~m1_group_2(X86,X85)|(v2_struct_0(X85)|~v2_group_1(X85)|~v3_group_1(X85)|~l3_algstr_0(X85)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])])])).
fof(c_0_75, plain, ![X51, X52]:(v2_struct_0(X51)|~v2_group_1(X51)|~v3_group_1(X51)|~l3_algstr_0(X51)|(~m1_group_2(X52,X51)|v3_group_1(X52))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])])).
cnf(c_0_76, negated_conjecture, (r1_group_24(X1,esk2_0,esk4_0)|k7_group_4(esk1_0,esk4_0,esk2_0)!=u1_struct_0(X1)|k2_group_6(esk1_0,esk2_0,esk4_0)!=k6_group_2(X1)|~v1_group_3(esk4_0,X1)|~m1_group_6(esk2_0,esk1_0,X1)|~m1_group_6(esk4_0,esk1_0,X1)|~m1_group_2(X1,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_22]), c_0_23]), c_0_24])]), c_0_25])).
cnf(c_0_77, negated_conjecture, (k2_group_6(esk1_0,esk2_0,esk4_0)=k6_group_2(esk3_0)|r1_group_24(esk3_0,esk2_0,g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)))), inference(rw,[status(thm)],[c_0_72, c_0_73])).
cnf(c_0_78, negated_conjecture, (k7_group_4(esk1_0,esk4_0,esk2_0)=u1_struct_0(esk3_0)|r1_group_24(esk3_0,esk2_0,k1_group_6(esk1_0,esk3_0,esk4_0))), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_79, plain, (v1_group_3(X1,X2)|v2_struct_0(X3)|~m1_group_6(X1,X3,X2)|~v1_group_3(X1,X3)|~m1_group_2(X1,X3)|~m1_group_2(X2,X3)|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_80, plain, (v2_struct_0(X1)|v3_group_1(X2)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_75])).
fof(c_0_81, plain, ![X1]:((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>![X2]:((((~v2_struct_0(X2)&v2_group_1(X2))&v3_group_1(X2))&l3_algstr_0(X2))=>![X3]:((((~v2_struct_0(X3)&v2_group_1(X3))&v3_group_1(X3))&l3_algstr_0(X3))=>(r1_group_24(X1,X2,X3)<=>?[X4]:((v15_algstr_0(X4)&m1_group_2(X4,X1))&?[X5]:((((((v15_algstr_0(X5)&v1_group_3(X5,X1))&m1_group_2(X5,X1))&X4=g3_algstr_0(u1_struct_0(X2),u2_algstr_0(X2)))&X5=g3_algstr_0(u1_struct_0(X3),u2_algstr_0(X3)))&k7_group_4(X1,X4,X5)=u1_struct_0(X1))&r1_group_2(X1,k2_group_6(X1,X4,X5),k6_group_2(X1)))))))), inference(fof_simplification,[status(thm)],[d4_group_24])).
cnf(c_0_82, negated_conjecture, (r1_group_24(esk3_0,esk2_0,g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)))|r1_group_24(X1,esk2_0,esk4_0)|k7_group_4(esk1_0,esk4_0,esk2_0)!=u1_struct_0(X1)|k6_group_2(esk3_0)!=k6_group_2(X1)|~v1_group_3(esk4_0,X1)|~m1_group_6(esk2_0,esk1_0,X1)|~m1_group_6(esk4_0,esk1_0,X1)|~m1_group_2(X1,esk1_0)), inference(spm,[status(thm)],[c_0_76, c_0_77])).
cnf(c_0_83, negated_conjecture, (k7_group_4(esk1_0,esk4_0,esk2_0)=u1_struct_0(esk3_0)|r1_group_24(esk3_0,esk2_0,g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)))), inference(rw,[status(thm)],[c_0_78, c_0_73])).
cnf(c_0_84, plain, (v1_group_3(X1,X2)|v2_struct_0(X3)|~v1_group_3(X1,X3)|~m1_group_6(X1,X3,X2)|~m1_group_2(X2,X3)|~l3_algstr_0(X3)|~v3_group_1(X3)|~v2_group_1(X3)), inference(csr,[status(thm)],[c_0_79, c_0_58])).
cnf(c_0_85, negated_conjecture, (v3_group_1(esk3_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_30]), c_0_22]), c_0_23]), c_0_24])]), c_0_25])).
fof(c_0_86, plain, ![X53, X54, X55, X58, X59]:((((v15_algstr_0(esk5_3(X53,X54,X55))|~r1_group_24(X53,X54,X55)|(v2_struct_0(X55)|~v2_group_1(X55)|~v3_group_1(X55)|~l3_algstr_0(X55))|(v2_struct_0(X54)|~v2_group_1(X54)|~v3_group_1(X54)|~l3_algstr_0(X54))|(v2_struct_0(X53)|~v2_group_1(X53)|~v3_group_1(X53)|~l3_algstr_0(X53)))&(m1_group_2(esk5_3(X53,X54,X55),X53)|~r1_group_24(X53,X54,X55)|(v2_struct_0(X55)|~v2_group_1(X55)|~v3_group_1(X55)|~l3_algstr_0(X55))|(v2_struct_0(X54)|~v2_group_1(X54)|~v3_group_1(X54)|~l3_algstr_0(X54))|(v2_struct_0(X53)|~v2_group_1(X53)|~v3_group_1(X53)|~l3_algstr_0(X53))))&(((((((v15_algstr_0(esk6_3(X53,X54,X55))|~r1_group_24(X53,X54,X55)|(v2_struct_0(X55)|~v2_group_1(X55)|~v3_group_1(X55)|~l3_algstr_0(X55))|(v2_struct_0(X54)|~v2_group_1(X54)|~v3_group_1(X54)|~l3_algstr_0(X54))|(v2_struct_0(X53)|~v2_group_1(X53)|~v3_group_1(X53)|~l3_algstr_0(X53)))&(v1_group_3(esk6_3(X53,X54,X55),X53)|~r1_group_24(X53,X54,X55)|(v2_struct_0(X55)|~v2_group_1(X55)|~v3_group_1(X55)|~l3_algstr_0(X55))|(v2_struct_0(X54)|~v2_group_1(X54)|~v3_group_1(X54)|~l3_algstr_0(X54))|(v2_struct_0(X53)|~v2_group_1(X53)|~v3_group_1(X53)|~l3_algstr_0(X53))))&(m1_group_2(esk6_3(X53,X54,X55),X53)|~r1_group_24(X53,X54,X55)|(v2_struct_0(X55)|~v2_group_1(X55)|~v3_group_1(X55)|~l3_algstr_0(X55))|(v2_struct_0(X54)|~v2_group_1(X54)|~v3_group_1(X54)|~l3_algstr_0(X54))|(v2_struct_0(X53)|~v2_group_1(X53)|~v3_group_1(X53)|~l3_algstr_0(X53))))&(esk5_3(X53,X54,X55)=g3_algstr_0(u1_struct_0(X54),u2_algstr_0(X54))|~r1_group_24(X53,X54,X55)|(v2_struct_0(X55)|~v2_group_1(X55)|~v3_group_1(X55)|~l3_algstr_0(X55))|(v2_struct_0(X54)|~v2_group_1(X54)|~v3_group_1(X54)|~l3_algstr_0(X54))|(v2_struct_0(X53)|~v2_group_1(X53)|~v3_group_1(X53)|~l3_algstr_0(X53))))&(esk6_3(X53,X54,X55)=g3_algstr_0(u1_struct_0(X55),u2_algstr_0(X55))|~r1_group_24(X53,X54,X55)|(v2_struct_0(X55)|~v2_group_1(X55)|~v3_group_1(X55)|~l3_algstr_0(X55))|(v2_struct_0(X54)|~v2_group_1(X54)|~v3_group_1(X54)|~l3_algstr_0(X54))|(v2_struct_0(X53)|~v2_group_1(X53)|~v3_group_1(X53)|~l3_algstr_0(X53))))&(k7_group_4(X53,esk5_3(X53,X54,X55),esk6_3(X53,X54,X55))=u1_struct_0(X53)|~r1_group_24(X53,X54,X55)|(v2_struct_0(X55)|~v2_group_1(X55)|~v3_group_1(X55)|~l3_algstr_0(X55))|(v2_struct_0(X54)|~v2_group_1(X54)|~v3_group_1(X54)|~l3_algstr_0(X54))|(v2_struct_0(X53)|~v2_group_1(X53)|~v3_group_1(X53)|~l3_algstr_0(X53))))&(r1_group_2(X53,k2_group_6(X53,esk5_3(X53,X54,X55),esk6_3(X53,X54,X55)),k6_group_2(X53))|~r1_group_24(X53,X54,X55)|(v2_struct_0(X55)|~v2_group_1(X55)|~v3_group_1(X55)|~l3_algstr_0(X55))|(v2_struct_0(X54)|~v2_group_1(X54)|~v3_group_1(X54)|~l3_algstr_0(X54))|(v2_struct_0(X53)|~v2_group_1(X53)|~v3_group_1(X53)|~l3_algstr_0(X53)))))&(~v15_algstr_0(X58)|~m1_group_2(X58,X53)|(~v15_algstr_0(X59)|~v1_group_3(X59,X53)|~m1_group_2(X59,X53)|X58!=g3_algstr_0(u1_struct_0(X54),u2_algstr_0(X54))|X59!=g3_algstr_0(u1_struct_0(X55),u2_algstr_0(X55))|k7_group_4(X53,X58,X59)!=u1_struct_0(X53)|~r1_group_2(X53,k2_group_6(X53,X58,X59),k6_group_2(X53)))|r1_group_24(X53,X54,X55)|(v2_struct_0(X55)|~v2_group_1(X55)|~v3_group_1(X55)|~l3_algstr_0(X55))|(v2_struct_0(X54)|~v2_group_1(X54)|~v3_group_1(X54)|~l3_algstr_0(X54))|(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(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])])])])).
cnf(c_0_87, negated_conjecture, (r1_group_24(esk3_0,esk2_0,g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)))|r1_group_24(X1,esk2_0,esk4_0)|u1_struct_0(esk3_0)!=u1_struct_0(X1)|k6_group_2(esk3_0)!=k6_group_2(X1)|~v1_group_3(esk4_0,X1)|~m1_group_6(esk2_0,esk1_0,X1)|~m1_group_6(esk4_0,esk1_0,X1)|~m1_group_2(X1,esk1_0)), inference(spm,[status(thm)],[c_0_82, c_0_83])).
cnf(c_0_88, negated_conjecture, (v1_group_3(esk4_0,esk3_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(spm,[status(thm)],[c_0_84, c_0_66]), c_0_20]), c_0_30]), c_0_22]), c_0_23]), c_0_24])]), c_0_25])).
cnf(c_0_89, negated_conjecture, (m1_group_6(esk2_0,esk1_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_90, negated_conjecture, (v3_group_1(k1_group_6(esk1_0,esk3_0,esk4_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_49]), c_0_50]), c_0_85]), c_0_51])]), c_0_52])).
cnf(c_0_91, negated_conjecture, (v2_group_1(k1_group_6(esk1_0,esk3_0,esk4_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_49]), c_0_50]), c_0_51])]), c_0_52])).
cnf(c_0_92, negated_conjecture, (~v2_struct_0(k1_group_6(esk1_0,esk3_0,esk4_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_49]), c_0_50]), c_0_51])]), c_0_52])).
fof(c_0_93, plain, ![X1]:((~v2_struct_0(X1)&l3_algstr_0(X1))=>(~v2_struct_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))&v15_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1))))), inference(fof_simplification,[status(thm)],[fc1_group_1])).
cnf(c_0_94, plain, (r1_group_2(X1,k2_group_6(X1,esk5_3(X1,X2,X3),esk6_3(X1,X2,X3)),k6_group_2(X1))|v2_struct_0(X3)|v2_struct_0(X2)|v2_struct_0(X1)|~r1_group_24(X1,X2,X3)|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_86])).
cnf(c_0_95, negated_conjecture, (r1_group_24(esk3_0,esk2_0,g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)))|r1_group_24(esk3_0,esk2_0,esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_87]), c_0_88]), c_0_89]), c_0_66]), c_0_30])])).
cnf(c_0_96, negated_conjecture, (l3_algstr_0(g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)))), inference(rw,[status(thm)],[c_0_61, c_0_73])).
cnf(c_0_97, negated_conjecture, (l3_algstr_0(esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_56]), c_0_22]), c_0_24])]), c_0_25])).
cnf(c_0_98, negated_conjecture, (v3_group_1(g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)))), inference(rw,[status(thm)],[c_0_90, c_0_73])).
cnf(c_0_99, negated_conjecture, (v3_group_1(esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_56]), c_0_22]), c_0_23]), c_0_24])]), c_0_25])).
cnf(c_0_100, negated_conjecture, (v2_group_1(g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)))), inference(rw,[status(thm)],[c_0_91, c_0_73])).
cnf(c_0_101, negated_conjecture, (v2_group_1(esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_56]), c_0_22]), c_0_24])]), c_0_25])).
cnf(c_0_102, negated_conjecture, (~v2_struct_0(g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)))), inference(rw,[status(thm)],[c_0_92, c_0_73])).
cnf(c_0_103, negated_conjecture, (~v2_struct_0(esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_56]), c_0_22]), c_0_24])]), c_0_25])).
cnf(c_0_104, plain, (esk6_3(X1,X2,X3)=g3_algstr_0(u1_struct_0(X3),u2_algstr_0(X3))|v2_struct_0(X3)|v2_struct_0(X2)|v2_struct_0(X1)|~r1_group_24(X1,X2,X3)|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_86])).
cnf(c_0_105, negated_conjecture, (g3_algstr_0(u1_struct_0(g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0))),u2_algstr_0(g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0))))=g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_73]), c_0_73]), c_0_73])).
cnf(c_0_106, plain, (v1_group_3(k1_group_6(X1,X2,X3),X2)|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~m1_group_2(X2,X1)|~v1_group_3(X3,X1)|~m1_group_2(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_107, plain, (k7_group_4(X1,esk5_3(X1,X2,X3),esk6_3(X1,X2,X3))=u1_struct_0(X1)|v2_struct_0(X3)|v2_struct_0(X2)|v2_struct_0(X1)|~r1_group_24(X1,X2,X3)|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_86])).
cnf(c_0_108, plain, (k7_group_4(X1,X2,X3)=u1_struct_0(X4)|v2_struct_0(X1)|~r1_group_24(X4,X3,X2)|~v1_group_3(X2,X4)|~m1_group_6(X2,X1,X4)|~m1_group_2(X2,X1)|~m1_group_6(X3,X1,X4)|~m1_group_2(X4,X1)|~m1_group_2(X3,X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_53])).
fof(c_0_109, plain, ![X68]:((~v2_struct_0(g3_algstr_0(u1_struct_0(X68),u2_algstr_0(X68)))|(v2_struct_0(X68)|~l3_algstr_0(X68)))&(v15_algstr_0(g3_algstr_0(u1_struct_0(X68),u2_algstr_0(X68)))|(v2_struct_0(X68)|~l3_algstr_0(X68)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_93])])])).
cnf(c_0_110, negated_conjecture, (r1_group_2(esk3_0,k2_group_6(esk3_0,esk5_3(esk3_0,esk2_0,g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0))),esk6_3(esk3_0,esk2_0,g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)))),k6_group_2(esk3_0))|r1_group_24(esk3_0,esk2_0,esk4_0)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_95]), c_0_96]), c_0_97]), c_0_50]), c_0_98]), c_0_99]), c_0_85]), c_0_100]), c_0_101]), c_0_51])]), c_0_102]), c_0_103]), c_0_52])).
cnf(c_0_111, negated_conjecture, (esk6_3(esk3_0,esk2_0,g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)))=g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0))|r1_group_24(esk3_0,esk2_0,esk4_0)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_95]), c_0_105]), c_0_96]), c_0_97]), c_0_50]), c_0_98]), c_0_99]), c_0_85]), c_0_100]), c_0_101]), c_0_51])]), c_0_102]), c_0_103]), c_0_52])).
cnf(c_0_112, plain, (esk5_3(X1,X2,X3)=g3_algstr_0(u1_struct_0(X2),u2_algstr_0(X2))|v2_struct_0(X3)|v2_struct_0(X2)|v2_struct_0(X1)|~r1_group_24(X1,X2,X3)|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_86])).
cnf(c_0_113, negated_conjecture, (v1_group_3(k1_group_6(esk1_0,X1,esk4_0),X1)|~m1_group_2(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(spm,[status(thm)],[c_0_106, c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24])]), c_0_25])).
cnf(c_0_114, plain, (m1_group_2(esk5_3(X1,X2,X3),X1)|v2_struct_0(X3)|v2_struct_0(X2)|v2_struct_0(X1)|~r1_group_24(X1,X2,X3)|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_86])).
cnf(c_0_115, negated_conjecture, (k7_group_4(esk3_0,esk5_3(esk3_0,esk2_0,g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0))),esk6_3(esk3_0,esk2_0,g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0))))=u1_struct_0(esk3_0)|r1_group_24(esk3_0,esk2_0,esk4_0)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_95]), c_0_96]), c_0_97]), c_0_50]), c_0_98]), c_0_99]), c_0_85]), c_0_100]), c_0_101]), c_0_51])]), c_0_102]), c_0_103]), c_0_52])).
cnf(c_0_116, plain, (k7_group_4(X1,X2,X3)=u1_struct_0(X4)|v2_struct_0(X1)|~r1_group_24(X4,X3,X2)|~v1_group_3(X2,X4)|~m1_group_6(X3,X1,X4)|~m1_group_6(X2,X1,X4)|~m1_group_2(X4,X1)|~l3_algstr_0(X1)|~v3_group_1(X1)|~v2_group_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_108, c_0_58]), c_0_58])).
cnf(c_0_117, plain, (r1_group_24(X2,X4,X5)|v2_struct_0(X5)|v2_struct_0(X4)|v2_struct_0(X2)|~v15_algstr_0(X1)|~m1_group_2(X1,X2)|~v15_algstr_0(X3)|~v1_group_3(X3,X2)|~m1_group_2(X3,X2)|X1!=g3_algstr_0(u1_struct_0(X4),u2_algstr_0(X4))|X3!=g3_algstr_0(u1_struct_0(X5),u2_algstr_0(X5))|k7_group_4(X2,X1,X3)!=u1_struct_0(X2)|~r1_group_2(X2,k2_group_6(X2,X1,X3),k6_group_2(X2))|~v2_group_1(X5)|~v3_group_1(X5)|~l3_algstr_0(X5)|~v2_group_1(X4)|~v3_group_1(X4)|~l3_algstr_0(X4)|~v2_group_1(X2)|~v3_group_1(X2)|~l3_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_86])).
cnf(c_0_118, plain, (v15_algstr_0(g3_algstr_0(u1_struct_0(X1),u2_algstr_0(X1)))|v2_struct_0(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_109])).
cnf(c_0_119, negated_conjecture, (r1_group_2(esk3_0,k2_group_6(esk3_0,esk5_3(esk3_0,esk2_0,g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0))),g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0))),k6_group_2(esk3_0))|r1_group_24(esk3_0,esk2_0,esk4_0)), inference(spm,[status(thm)],[c_0_110, c_0_111])).
cnf(c_0_120, negated_conjecture, (esk5_3(esk3_0,esk2_0,g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)))=g3_algstr_0(u1_struct_0(esk2_0),u2_algstr_0(esk2_0))|r1_group_24(esk3_0,esk2_0,esk4_0)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_95]), c_0_96]), c_0_97]), c_0_50]), c_0_98]), c_0_99]), c_0_85]), c_0_100]), c_0_101]), c_0_51])]), c_0_102]), c_0_103]), c_0_52])).
cnf(c_0_121, negated_conjecture, (v1_group_3(k1_group_6(esk1_0,esk3_0,esk4_0),esk3_0)), inference(spm,[status(thm)],[c_0_113, c_0_30])).
cnf(c_0_122, negated_conjecture, (r1_group_24(esk3_0,esk2_0,esk4_0)|m1_group_2(esk5_3(esk3_0,esk2_0,g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0))),esk3_0)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114, c_0_95]), c_0_96]), c_0_97]), c_0_50]), c_0_98]), c_0_99]), c_0_85]), c_0_100]), c_0_101]), c_0_51])]), c_0_102]), c_0_103]), c_0_52])).
cnf(c_0_123, negated_conjecture, (k7_group_4(esk3_0,esk5_3(esk3_0,esk2_0,g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0))),g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)))=u1_struct_0(esk3_0)|r1_group_24(esk3_0,esk2_0,esk4_0)), inference(spm,[status(thm)],[c_0_115, c_0_111])).
cnf(c_0_124, plain, (k10_group_2(X1,X2,X3)=k6_group_2(X4)|v2_struct_0(X1)|~r1_group_24(X4,X2,X3)|~v1_group_3(X3,X4)|~m1_group_6(X3,X1,X4)|~m1_group_2(X3,X1)|~m1_group_6(X2,X1,X4)|~m1_group_2(X4,X1)|~m1_group_2(X2,X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_53])).
cnf(c_0_125, negated_conjecture, (k7_group_4(esk1_0,X1,esk2_0)=u1_struct_0(esk3_0)|~r1_group_24(esk3_0,esk2_0,X1)|~v1_group_3(X1,esk3_0)|~m1_group_6(X1,esk1_0,esk3_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(spm,[status(thm)],[c_0_116, c_0_89]), c_0_30]), c_0_22]), c_0_23]), c_0_24])]), c_0_25])).
cnf(c_0_126, plain, (r1_group_24(X1,X2,X3)|v2_struct_0(X3)|v2_struct_0(X2)|v2_struct_0(X1)|k7_group_4(X1,g3_algstr_0(u1_struct_0(X2),u2_algstr_0(X2)),g3_algstr_0(u1_struct_0(X3),u2_algstr_0(X3)))!=u1_struct_0(X1)|~r1_group_2(X1,k2_group_6(X1,g3_algstr_0(u1_struct_0(X2),u2_algstr_0(X2)),g3_algstr_0(u1_struct_0(X3),u2_algstr_0(X3))),k6_group_2(X1))|~v1_group_3(g3_algstr_0(u1_struct_0(X3),u2_algstr_0(X3)),X1)|~m1_group_2(g3_algstr_0(u1_struct_0(X3),u2_algstr_0(X3)),X1)|~m1_group_2(g3_algstr_0(u1_struct_0(X2),u2_algstr_0(X2)),X1)|~l3_algstr_0(X3)|~l3_algstr_0(X2)|~l3_algstr_0(X1)|~v3_group_1(X3)|~v3_group_1(X2)|~v3_group_1(X1)|~v2_group_1(X3)|~v2_group_1(X2)|~v2_group_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_117])]), c_0_118]), c_0_118])).
cnf(c_0_127, negated_conjecture, (r1_group_2(esk3_0,k2_group_6(esk3_0,g3_algstr_0(u1_struct_0(esk2_0),u2_algstr_0(esk2_0)),g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0))),k6_group_2(esk3_0))|r1_group_24(esk3_0,esk2_0,esk4_0)), inference(spm,[status(thm)],[c_0_119, c_0_120])).
cnf(c_0_128, negated_conjecture, (v1_group_3(g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)),esk3_0)), inference(rw,[status(thm)],[c_0_121, c_0_73])).
cnf(c_0_129, negated_conjecture, (m1_group_2(g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)),esk3_0)), inference(rw,[status(thm)],[c_0_49, c_0_73])).
cnf(c_0_130, negated_conjecture, (l3_algstr_0(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_21]), c_0_22]), c_0_24])]), c_0_25])).
cnf(c_0_131, negated_conjecture, (v3_group_1(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_21]), c_0_22]), c_0_23]), c_0_24])]), c_0_25])).
cnf(c_0_132, negated_conjecture, (v2_group_1(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_21]), c_0_22]), c_0_24])]), c_0_25])).
cnf(c_0_133, negated_conjecture, (~v2_struct_0(esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_21]), c_0_22]), c_0_24])]), c_0_25])).
cnf(c_0_134, negated_conjecture, (r1_group_24(esk3_0,esk2_0,esk4_0)|m1_group_2(g3_algstr_0(u1_struct_0(esk2_0),u2_algstr_0(esk2_0)),esk3_0)), inference(spm,[status(thm)],[c_0_122, c_0_120])).
cnf(c_0_135, negated_conjecture, (k7_group_4(esk3_0,g3_algstr_0(u1_struct_0(esk2_0),u2_algstr_0(esk2_0)),g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)))=u1_struct_0(esk3_0)|r1_group_24(esk3_0,esk2_0,esk4_0)), inference(spm,[status(thm)],[c_0_123, c_0_120])).
cnf(c_0_136, plain, (k10_group_2(X1,X2,X3)=k6_group_2(X4)|v2_struct_0(X1)|~r1_group_24(X4,X2,X3)|~v1_group_3(X3,X4)|~m1_group_6(X3,X1,X4)|~m1_group_6(X2,X1,X4)|~m1_group_2(X4,X1)|~l3_algstr_0(X1)|~v3_group_1(X1)|~v2_group_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_124, c_0_58]), c_0_58])).
cnf(c_0_137, negated_conjecture, (~r1_group_24(esk3_0,esk2_0,k1_group_6(esk1_0,esk3_0,esk4_0))|k7_group_4(esk1_0,esk4_0,esk2_0)!=u1_struct_0(esk3_0)|k2_group_6(esk1_0,esk2_0,esk4_0)!=k6_group_2(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_138, negated_conjecture, (k7_group_4(esk1_0,esk4_0,esk2_0)=u1_struct_0(esk3_0)|~r1_group_24(esk3_0,esk2_0,esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_66]), c_0_88])])).
cnf(c_0_139, negated_conjecture, (r1_group_24(esk3_0,esk2_0,esk4_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126, c_0_127]), c_0_128]), c_0_129]), c_0_130]), c_0_97]), c_0_50]), c_0_131]), c_0_99]), c_0_85]), c_0_132]), c_0_101]), c_0_51])]), c_0_52]), c_0_103]), c_0_133]), c_0_134]), c_0_135])).
cnf(c_0_140, negated_conjecture, (k10_group_2(esk1_0,X1,esk4_0)=k6_group_2(esk3_0)|~r1_group_24(esk3_0,X1,esk4_0)|~m1_group_6(X1,esk1_0,esk3_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(spm,[status(thm)],[c_0_136, c_0_66]), c_0_88]), c_0_30]), c_0_22]), c_0_23]), c_0_24])]), c_0_25])).
cnf(c_0_141, negated_conjecture, (k7_group_4(esk1_0,esk4_0,esk2_0)!=u1_struct_0(esk3_0)|k2_group_6(esk1_0,esk2_0,esk4_0)!=k6_group_2(esk3_0)|~r1_group_24(esk3_0,esk2_0,g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)))), inference(rw,[status(thm)],[c_0_137, c_0_73])).
cnf(c_0_142, negated_conjecture, (k7_group_4(esk1_0,esk4_0,esk2_0)=u1_struct_0(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138, c_0_139])])).
cnf(c_0_143, negated_conjecture, (k2_group_6(esk1_0,esk2_0,esk4_0)=k6_group_2(esk3_0)|~r1_group_24(esk3_0,esk2_0,esk4_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140, c_0_89]), c_0_71])).
cnf(c_0_144, negated_conjecture, (esk5_3(esk3_0,esk2_0,esk4_0)=g3_algstr_0(u1_struct_0(esk2_0),u2_algstr_0(esk2_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_139]), c_0_130]), c_0_97]), c_0_50]), c_0_131]), c_0_99]), c_0_85]), c_0_132]), c_0_101]), c_0_51])]), c_0_133]), c_0_103]), c_0_52])).
cnf(c_0_145, negated_conjecture, (esk6_3(esk3_0,esk2_0,esk4_0)=g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_139]), c_0_130]), c_0_97]), c_0_50]), c_0_131]), c_0_99]), c_0_85]), c_0_132]), c_0_101]), c_0_51])]), c_0_133]), c_0_103]), c_0_52])).
cnf(c_0_146, negated_conjecture, (m1_group_2(esk5_3(esk3_0,esk2_0,esk4_0),esk3_0)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114, c_0_139]), c_0_130]), c_0_97]), c_0_50]), c_0_131]), c_0_99]), c_0_85]), c_0_132]), c_0_101]), c_0_51])]), c_0_133]), c_0_103]), c_0_52])).
cnf(c_0_147, negated_conjecture, (k2_group_6(esk1_0,esk2_0,esk4_0)!=k6_group_2(esk3_0)|~r1_group_24(esk3_0,esk2_0,g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141, c_0_142])])).
cnf(c_0_148, negated_conjecture, (k2_group_6(esk1_0,esk2_0,esk4_0)=k6_group_2(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143, c_0_139])])).
cnf(c_0_149, negated_conjecture, (r1_group_24(X1,X2,g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)))|v2_struct_0(X2)|v2_struct_0(X1)|k7_group_4(X1,g3_algstr_0(u1_struct_0(X2),u2_algstr_0(X2)),g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)))!=u1_struct_0(X1)|~r1_group_2(X1,k2_group_6(X1,g3_algstr_0(u1_struct_0(X2),u2_algstr_0(X2)),g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0))),k6_group_2(X1))|~v1_group_3(g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)),X1)|~m1_group_2(g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)),X1)|~m1_group_2(g3_algstr_0(u1_struct_0(X2),u2_algstr_0(X2)),X1)|~l3_algstr_0(X2)|~l3_algstr_0(X1)|~v3_group_1(X2)|~v3_group_1(X1)|~v2_group_1(X2)|~v2_group_1(X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126, c_0_105]), c_0_96]), c_0_98]), c_0_100])]), c_0_102])).
cnf(c_0_150, negated_conjecture, (r1_group_2(esk3_0,k2_group_6(esk3_0,g3_algstr_0(u1_struct_0(esk2_0),u2_algstr_0(esk2_0)),g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0))),k6_group_2(esk3_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_139]), c_0_130]), c_0_97]), c_0_50]), c_0_131]), c_0_99]), c_0_85]), c_0_132]), c_0_101]), c_0_51])]), c_0_133]), c_0_103]), c_0_52]), c_0_144]), c_0_145])).
cnf(c_0_151, negated_conjecture, (k7_group_4(esk3_0,g3_algstr_0(u1_struct_0(esk2_0),u2_algstr_0(esk2_0)),g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)))=u1_struct_0(esk3_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_139]), c_0_130]), c_0_97]), c_0_50]), c_0_131]), c_0_99]), c_0_85]), c_0_132]), c_0_101]), c_0_51])]), c_0_133]), c_0_103]), c_0_52]), c_0_144]), c_0_145])).
cnf(c_0_152, negated_conjecture, (m1_group_2(g3_algstr_0(u1_struct_0(esk2_0),u2_algstr_0(esk2_0)),esk3_0)), inference(rw,[status(thm)],[c_0_146, c_0_144])).
cnf(c_0_153, negated_conjecture, (~r1_group_24(esk3_0,esk2_0,g3_algstr_0(u1_struct_0(esk4_0),u2_algstr_0(esk4_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147, c_0_148])])).
cnf(c_0_154, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149, c_0_150]), c_0_151]), c_0_128]), c_0_129]), c_0_152]), c_0_97]), c_0_50]), c_0_99]), c_0_85]), c_0_101]), c_0_51])]), c_0_153]), c_0_103]), c_0_52]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 155
# Proof object clause steps            : 114
# Proof object formula steps           : 41
# Proof object conjectures             : 87
# Proof object clause conjectures      : 84
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 37
# Proof object initial formulas used   : 14
# Proof object generating inferences   : 56
# Proof object simplifying inferences  : 351
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 14
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 44
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 43
# Processed clauses                    : 73365
# ...of these trivial                  : 167
# ...subsumed                          : 3042
# ...remaining for further processing  : 70156
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 68158
# Backward-subsumed                    : 3
# Backward-rewritten                   : 2447
# Generated clauses                    : 2296631
# ...of the previous two non-trivial   : 2279613
# Contextual simplify-reflections      : 69
# Paramodulations                      : 2296627
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 5
# 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  : 67662
#    Positive orientable unit clauses  : 27245
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 646
#    Non-unit-clauses                  : 39771
# Current number of unprocessed clauses: 741102
# ...number of literals in the above   : 1476962
# Current number of archived formulas  : 0
# Current number of archived clauses   : 2493
# Clause-clause subsumption calls (NU) : 43644884
# Rec. Clause-clause subsumption calls : 42659743
# Non-unit clause-clause subsumptions  : 854
# Unit Clause-clause subsumption calls : 1195099
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 6974028
# BW rewrite match successes           : 507
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 184744793

# -------------------------------------------------
# User time                : 156.438 s
# System time              : 4.198 s
# Total time               : 160.636 s
# Maximum resident set size: 3332 pages
