# 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       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t4_vectsp13, axiom, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:((v1_vectsp_7(X3,X1,X2)&m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))))=>![X4]:(m1_subset_1(X4,u1_struct_0(X2))=>(r2_tarski(X4,X3)=>![X5]:(m2_vectsp_6(X5,X1,X2,X3)=>(k4_vectsp_6(X1,X2,X5)=X4=>(k1_vectsp_6(X1,X2,X5)=k6_domain_1(u1_struct_0(X2),X4)&k3_funct_2(u1_struct_0(X2),u1_struct_0(X1),X5,X4)=k5_struct_0(X1))))))))), file('vectsp13/vectsp13__t16_vectsp13', t4_vectsp13)).
fof(t4_subset, axiom, ![X1, X2, X3]:((r2_tarski(X1,X2)&m1_subset_1(X2,k1_zfmisc_1(X3)))=>m1_subset_1(X1,X3)), file('vectsp13/vectsp13__t16_vectsp13', t4_subset)).
fof(t16_vectsp13, conjecture, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:((((((((((~(v2_struct_0(X3))&v13_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&l1_vectsp_1(X3,X1))=>![X4]:(((~(v1_xboole_0(X4))&v1_finset_1(X4))&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))=>(v1_vectsp_7(X4,X1,X2)=>![X5]:(m1_subset_1(X5,u1_struct_0(X2))=>(r2_tarski(X5,X4)=>![X6]:(m2_vectsp_6(X6,X1,X2,X4)=>(k4_vectsp_6(X1,X2,X6)=X5=>![X7]:(((v1_funct_1(X7)&v1_funct_2(X7,X4,u1_struct_0(X3)))&m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>k4_vectsp_6(X1,X3,k3_vectsp13(X1,X2,X3,X4,X6,X7))=k1_funct_1(X7,X5))))))))))), file('vectsp13/vectsp13__t16_vectsp13', t16_vectsp13)).
fof(redefinition_m2_subset_1, axiom, ![X1, X2]:(((~(v1_xboole_0(X1))&~(v1_xboole_0(X2)))&m1_subset_1(X2,k1_zfmisc_1(X1)))=>![X3]:(m2_subset_1(X3,X1,X2)<=>m1_subset_1(X3,X2))), file('vectsp13/vectsp13__t16_vectsp13', redefinition_m2_subset_1)).
fof(t1_subset, axiom, ![X1, X2]:(r2_tarski(X1,X2)=>m1_subset_1(X1,X2)), file('vectsp13/vectsp13__t16_vectsp13', t1_subset)).
fof(t5_subset, axiom, ![X1, X2, X3]:~(((r2_tarski(X1,X2)&m1_subset_1(X2,k1_zfmisc_1(X3)))&v1_xboole_0(X3))), file('vectsp13/vectsp13__t16_vectsp13', t5_subset)).
fof(redefinition_k6_domain_1, axiom, ![X1, X2]:((~(v1_xboole_0(X1))&m1_subset_1(X2,X1))=>k6_domain_1(X1,X2)=k1_tarski(X2)), file('vectsp13/vectsp13__t16_vectsp13', redefinition_k6_domain_1)).
fof(dt_k3_funct_2, axiom, ![X1, X2, X3, X4]:(((((~(v1_xboole_0(X1))&v1_funct_1(X3))&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&m1_subset_1(X4,X1))=>m1_subset_1(k3_funct_2(X1,X2,X3,X4),X2)), file('vectsp13/vectsp13__t16_vectsp13', dt_k3_funct_2)).
fof(redefinition_k3_funct_2, axiom, ![X1, X2, X3, X4]:(((((~(v1_xboole_0(X1))&v1_funct_1(X3))&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&m1_subset_1(X4,X1))=>k3_funct_2(X1,X2,X3,X4)=k1_funct_1(X3,X4)), file('vectsp13/vectsp13__t16_vectsp13', redefinition_k3_funct_2)).
fof(t11_vectsp13, axiom, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:((((((((((~(v2_struct_0(X3))&v13_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&l1_vectsp_1(X3,X1))=>![X4]:(((~(v1_xboole_0(X4))&v1_finset_1(X4))&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))=>![X5]:(m2_subset_1(X5,u1_struct_0(X2),X4)=>![X6]:(((v1_funct_1(X6)&v1_funct_2(X6,X4,u1_struct_0(X3)))&m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>![X7]:(m2_vectsp_6(X7,X1,X2,X4)=>(k1_vectsp_6(X1,X2,X7)=k6_domain_1(X4,X5)=>(k1_vectsp_6(X1,X3,k3_vectsp13(X1,X2,X3,X4,X7,X6))=k6_domain_1(u1_struct_0(X3),k3_funct_2(X4,u1_struct_0(X3),X6,X5))&k4_vectsp_6(X1,X3,k3_vectsp13(X1,X2,X3,X4,X7,X6))=k3_vectsp_1(X1,X3,k3_funct_2(u1_struct_0(X2),u1_struct_0(X1),X7,X5),k3_funct_2(X4,u1_struct_0(X3),X6,X5))))))))))), file('vectsp13/vectsp13__t16_vectsp13', t11_vectsp13)).
fof(rd5_vectsp_1, axiom, ![X1, X2, X3]:((((((((((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))&~(v2_struct_0(X2)))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&l1_vectsp_1(X2,X1))&m1_subset_1(X3,u1_struct_0(X2)))=>k3_vectsp_1(X1,X2,k5_struct_0(X1),X3)=X3), file('vectsp13/vectsp13__t16_vectsp13', rd5_vectsp_1)).
fof(c_0_11, plain, ![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:((v1_vectsp_7(X3,X1,X2)&m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))))=>![X4]:(m1_subset_1(X4,u1_struct_0(X2))=>(r2_tarski(X4,X3)=>![X5]:(m2_vectsp_6(X5,X1,X2,X3)=>(k4_vectsp_6(X1,X2,X5)=X4=>(k1_vectsp_6(X1,X2,X5)=k6_domain_1(u1_struct_0(X2),X4)&k3_funct_2(u1_struct_0(X2),u1_struct_0(X1),X5,X4)=k5_struct_0(X1))))))))), inference(fof_simplification,[status(thm)],[t4_vectsp13])).
fof(c_0_12, plain, ![X80, X81, X82, X83, X84]:((k1_vectsp_6(X80,X81,X84)=k6_domain_1(u1_struct_0(X81),X83)|k4_vectsp_6(X80,X81,X84)!=X83|~m2_vectsp_6(X84,X80,X81,X82)|~r2_tarski(X83,X82)|~m1_subset_1(X83,u1_struct_0(X81))|(~v1_vectsp_7(X82,X80,X81)|~m1_subset_1(X82,k1_zfmisc_1(u1_struct_0(X81))))|(v2_struct_0(X81)|~v13_algstr_0(X81)|~v2_rlvect_1(X81)|~v3_rlvect_1(X81)|~v4_rlvect_1(X81)|~v8_vectsp_1(X81,X80)|~v9_vectsp_1(X81,X80)|~v10_vectsp_1(X81,X80)|~v11_vectsp_1(X81,X80)|~l1_vectsp_1(X81,X80))|(v2_struct_0(X80)|v6_struct_0(X80)|~v13_algstr_0(X80)|~v33_algstr_0(X80)|~v2_rlvect_1(X80)|~v3_rlvect_1(X80)|~v4_rlvect_1(X80)|~v4_vectsp_1(X80)|~v5_vectsp_1(X80)|~v3_group_1(X80)|~v5_group_1(X80)|~l6_algstr_0(X80)))&(k3_funct_2(u1_struct_0(X81),u1_struct_0(X80),X84,X83)=k5_struct_0(X80)|k4_vectsp_6(X80,X81,X84)!=X83|~m2_vectsp_6(X84,X80,X81,X82)|~r2_tarski(X83,X82)|~m1_subset_1(X83,u1_struct_0(X81))|(~v1_vectsp_7(X82,X80,X81)|~m1_subset_1(X82,k1_zfmisc_1(u1_struct_0(X81))))|(v2_struct_0(X81)|~v13_algstr_0(X81)|~v2_rlvect_1(X81)|~v3_rlvect_1(X81)|~v4_rlvect_1(X81)|~v8_vectsp_1(X81,X80)|~v9_vectsp_1(X81,X80)|~v10_vectsp_1(X81,X80)|~v11_vectsp_1(X81,X80)|~l1_vectsp_1(X81,X80))|(v2_struct_0(X80)|v6_struct_0(X80)|~v13_algstr_0(X80)|~v33_algstr_0(X80)|~v2_rlvect_1(X80)|~v3_rlvect_1(X80)|~v4_rlvect_1(X80)|~v4_vectsp_1(X80)|~v5_vectsp_1(X80)|~v3_group_1(X80)|~v5_group_1(X80)|~l6_algstr_0(X80)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])).
fof(c_0_13, plain, ![X77, X78, X79]:(~r2_tarski(X77,X78)|~m1_subset_1(X78,k1_zfmisc_1(X79))|m1_subset_1(X77,X79)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])])).
fof(c_0_14, negated_conjecture, ~(![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:((((((((((~v2_struct_0(X3)&v13_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&l1_vectsp_1(X3,X1))=>![X4]:(((~v1_xboole_0(X4)&v1_finset_1(X4))&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))=>(v1_vectsp_7(X4,X1,X2)=>![X5]:(m1_subset_1(X5,u1_struct_0(X2))=>(r2_tarski(X5,X4)=>![X6]:(m2_vectsp_6(X6,X1,X2,X4)=>(k4_vectsp_6(X1,X2,X6)=X5=>![X7]:(((v1_funct_1(X7)&v1_funct_2(X7,X4,u1_struct_0(X3)))&m1_subset_1(X7,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>k4_vectsp_6(X1,X3,k3_vectsp13(X1,X2,X3,X4,X6,X7))=k1_funct_1(X7,X5)))))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t16_vectsp13])])).
fof(c_0_15, plain, ![X1]:(epred1_1(X1)<=>![X2]:((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:((((((((((~v2_struct_0(X3)&v13_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&l1_vectsp_1(X3,X1))=>![X4]:(((~v1_xboole_0(X4)&v1_finset_1(X4))&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))=>![X5]:(m2_subset_1(X5,u1_struct_0(X2),X4)=>![X6]:(((v1_funct_1(X6)&v1_funct_2(X6,X4,u1_struct_0(X3)))&m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>![X7]:(m2_vectsp_6(X7,X1,X2,X4)=>(k1_vectsp_6(X1,X2,X7)=k6_domain_1(X4,X5)=>(k1_vectsp_6(X1,X3,k3_vectsp13(X1,X2,X3,X4,X7,X6))=k6_domain_1(u1_struct_0(X3),k3_funct_2(X4,u1_struct_0(X3),X6,X5))&k4_vectsp_6(X1,X3,k3_vectsp13(X1,X2,X3,X4,X7,X6))=k3_vectsp_1(X1,X3,k3_funct_2(u1_struct_0(X2),u1_struct_0(X1),X7,X5),k3_funct_2(X4,u1_struct_0(X3),X6,X5))))))))))), introduced(definition)).
cnf(c_0_16, plain, (k1_vectsp_6(X1,X2,X3)=k6_domain_1(u1_struct_0(X2),X4)|v2_struct_0(X2)|v2_struct_0(X1)|v6_struct_0(X1)|k4_vectsp_6(X1,X2,X3)!=X4|~m2_vectsp_6(X3,X1,X2,X5)|~r2_tarski(X4,X5)|~m1_subset_1(X4,u1_struct_0(X2))|~v1_vectsp_7(X5,X1,X2)|~m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X2)))|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v8_vectsp_1(X2,X1)|~v9_vectsp_1(X2,X1)|~v10_vectsp_1(X2,X1)|~v11_vectsp_1(X2,X1)|~l1_vectsp_1(X2,X1)|~v13_algstr_0(X1)|~v33_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_17, plain, (m1_subset_1(X1,X3)|~r2_tarski(X1,X2)|~m1_subset_1(X2,k1_zfmisc_1(X3))), inference(split_conjunct,[status(thm)],[c_0_13])).
fof(c_0_18, negated_conjecture, ((((((((((((~v2_struct_0(esk1_0)&~v6_struct_0(esk1_0))&v13_algstr_0(esk1_0))&v33_algstr_0(esk1_0))&v2_rlvect_1(esk1_0))&v3_rlvect_1(esk1_0))&v4_rlvect_1(esk1_0))&v4_vectsp_1(esk1_0))&v5_vectsp_1(esk1_0))&v3_group_1(esk1_0))&v5_group_1(esk1_0))&l6_algstr_0(esk1_0))&((((((((((~v2_struct_0(esk2_0)&v13_algstr_0(esk2_0))&v2_rlvect_1(esk2_0))&v3_rlvect_1(esk2_0))&v4_rlvect_1(esk2_0))&v8_vectsp_1(esk2_0,esk1_0))&v9_vectsp_1(esk2_0,esk1_0))&v10_vectsp_1(esk2_0,esk1_0))&v11_vectsp_1(esk2_0,esk1_0))&l1_vectsp_1(esk2_0,esk1_0))&((((((((((~v2_struct_0(esk3_0)&v13_algstr_0(esk3_0))&v2_rlvect_1(esk3_0))&v3_rlvect_1(esk3_0))&v4_rlvect_1(esk3_0))&v8_vectsp_1(esk3_0,esk1_0))&v9_vectsp_1(esk3_0,esk1_0))&v10_vectsp_1(esk3_0,esk1_0))&v11_vectsp_1(esk3_0,esk1_0))&l1_vectsp_1(esk3_0,esk1_0))&(((~v1_xboole_0(esk4_0)&v1_finset_1(esk4_0))&m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0))))&(v1_vectsp_7(esk4_0,esk1_0,esk2_0)&(m1_subset_1(esk5_0,u1_struct_0(esk2_0))&(r2_tarski(esk5_0,esk4_0)&(m2_vectsp_6(esk6_0,esk1_0,esk2_0,esk4_0)&(k4_vectsp_6(esk1_0,esk2_0,esk6_0)=esk5_0&(((v1_funct_1(esk7_0)&v1_funct_2(esk7_0,esk4_0,u1_struct_0(esk3_0)))&m1_subset_1(esk7_0,k1_zfmisc_1(k2_zfmisc_1(esk4_0,u1_struct_0(esk3_0)))))&k4_vectsp_6(esk1_0,esk3_0,k3_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0,esk7_0))!=k1_funct_1(esk7_0,esk5_0))))))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])).
fof(c_0_19, plain, ![X1]:(epred1_1(X1)=>![X2]:((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&l1_vectsp_1(X2,X1))=>![X3]:((((((((((~v2_struct_0(X3)&v13_algstr_0(X3))&v2_rlvect_1(X3))&v3_rlvect_1(X3))&v4_rlvect_1(X3))&v8_vectsp_1(X3,X1))&v9_vectsp_1(X3,X1))&v10_vectsp_1(X3,X1))&v11_vectsp_1(X3,X1))&l1_vectsp_1(X3,X1))=>![X4]:(((~v1_xboole_0(X4)&v1_finset_1(X4))&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))=>![X5]:(m2_subset_1(X5,u1_struct_0(X2),X4)=>![X6]:(((v1_funct_1(X6)&v1_funct_2(X6,X4,u1_struct_0(X3)))&m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>![X7]:(m2_vectsp_6(X7,X1,X2,X4)=>(k1_vectsp_6(X1,X2,X7)=k6_domain_1(X4,X5)=>(k1_vectsp_6(X1,X3,k3_vectsp13(X1,X2,X3,X4,X7,X6))=k6_domain_1(u1_struct_0(X3),k3_funct_2(X4,u1_struct_0(X3),X6,X5))&k4_vectsp_6(X1,X3,k3_vectsp13(X1,X2,X3,X4,X7,X6))=k3_vectsp_1(X1,X3,k3_funct_2(u1_struct_0(X2),u1_struct_0(X1),X7,X5),k3_funct_2(X4,u1_struct_0(X3),X6,X5))))))))))), inference(split_equiv,[status(thm)],[c_0_15])).
cnf(c_0_20, plain, (k1_vectsp_6(X1,X2,X3)=k6_domain_1(u1_struct_0(X2),k4_vectsp_6(X1,X2,X3))|v6_struct_0(X1)|v2_struct_0(X2)|v2_struct_0(X1)|~m2_vectsp_6(X3,X1,X2,X4)|~r2_tarski(k4_vectsp_6(X1,X2,X3),X4)|~v1_vectsp_7(X4,X1,X2)|~m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))|~l1_vectsp_1(X2,X1)|~v11_vectsp_1(X2,X1)|~v10_vectsp_1(X2,X1)|~v9_vectsp_1(X2,X1)|~v8_vectsp_1(X2,X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X2)|~v4_rlvect_1(X1)|~v3_rlvect_1(X2)|~v3_rlvect_1(X1)|~v2_rlvect_1(X2)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X2)|~v13_algstr_0(X1)), inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_16, c_0_17])])).
cnf(c_0_21, negated_conjecture, (v1_vectsp_7(esk4_0,esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_22, negated_conjecture, (m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_23, negated_conjecture, (l1_vectsp_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_24, negated_conjecture, (v11_vectsp_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_25, negated_conjecture, (v10_vectsp_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_26, negated_conjecture, (v9_vectsp_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_27, negated_conjecture, (v8_vectsp_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_28, negated_conjecture, (l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_29, negated_conjecture, (v5_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_30, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_31, negated_conjecture, (v5_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_32, negated_conjecture, (v4_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_33, negated_conjecture, (v4_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_34, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_35, negated_conjecture, (v3_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_36, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_37, negated_conjecture, (v2_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_38, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_39, negated_conjecture, (v33_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_40, negated_conjecture, (v13_algstr_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_41, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_42, negated_conjecture, (~v6_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_43, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_44, negated_conjecture, (~v2_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
fof(c_0_45, plain, ![X1, X2]:(((~v1_xboole_0(X1)&~v1_xboole_0(X2))&m1_subset_1(X2,k1_zfmisc_1(X1)))=>![X3]:(m2_subset_1(X3,X1,X2)<=>m1_subset_1(X3,X2))), inference(fof_simplification,[status(thm)],[redefinition_m2_subset_1])).
fof(c_0_46, plain, ![X75, X76]:(~r2_tarski(X75,X76)|m1_subset_1(X75,X76)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])).
fof(c_0_47, plain, ![X85, X86, X87]:(~r2_tarski(X85,X86)|~m1_subset_1(X86,k1_zfmisc_1(X87))|~v1_xboole_0(X87)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])])).
fof(c_0_48, plain, ![X1, X2]:((~v1_xboole_0(X1)&m1_subset_1(X2,X1))=>k6_domain_1(X1,X2)=k1_tarski(X2)), inference(fof_simplification,[status(thm)],[redefinition_k6_domain_1])).
fof(c_0_49, plain, ![X1, X2, X3, X4]:(((((~v1_xboole_0(X1)&v1_funct_1(X3))&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&m1_subset_1(X4,X1))=>m1_subset_1(k3_funct_2(X1,X2,X3,X4),X2)), inference(fof_simplification,[status(thm)],[dt_k3_funct_2])).
fof(c_0_50, plain, ![X1, X2, X3, X4]:(((((~v1_xboole_0(X1)&v1_funct_1(X3))&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&m1_subset_1(X4,X1))=>k3_funct_2(X1,X2,X3,X4)=k1_funct_1(X3,X4)), inference(fof_simplification,[status(thm)],[redefinition_k3_funct_2])).
fof(c_0_51, plain, ![X88, X89, X90, X91, X92, X93, X94]:((k1_vectsp_6(X88,X90,k3_vectsp13(X88,X89,X90,X91,X94,X93))=k6_domain_1(u1_struct_0(X90),k3_funct_2(X91,u1_struct_0(X90),X93,X92))|k1_vectsp_6(X88,X89,X94)!=k6_domain_1(X91,X92)|~m2_vectsp_6(X94,X88,X89,X91)|(~v1_funct_1(X93)|~v1_funct_2(X93,X91,u1_struct_0(X90))|~m1_subset_1(X93,k1_zfmisc_1(k2_zfmisc_1(X91,u1_struct_0(X90)))))|~m2_subset_1(X92,u1_struct_0(X89),X91)|(v1_xboole_0(X91)|~v1_finset_1(X91)|~m1_subset_1(X91,k1_zfmisc_1(u1_struct_0(X89))))|(v2_struct_0(X90)|~v13_algstr_0(X90)|~v2_rlvect_1(X90)|~v3_rlvect_1(X90)|~v4_rlvect_1(X90)|~v8_vectsp_1(X90,X88)|~v9_vectsp_1(X90,X88)|~v10_vectsp_1(X90,X88)|~v11_vectsp_1(X90,X88)|~l1_vectsp_1(X90,X88))|(v2_struct_0(X89)|~v13_algstr_0(X89)|~v2_rlvect_1(X89)|~v3_rlvect_1(X89)|~v4_rlvect_1(X89)|~v8_vectsp_1(X89,X88)|~v9_vectsp_1(X89,X88)|~v10_vectsp_1(X89,X88)|~v11_vectsp_1(X89,X88)|~l1_vectsp_1(X89,X88))|~epred1_1(X88))&(k4_vectsp_6(X88,X90,k3_vectsp13(X88,X89,X90,X91,X94,X93))=k3_vectsp_1(X88,X90,k3_funct_2(u1_struct_0(X89),u1_struct_0(X88),X94,X92),k3_funct_2(X91,u1_struct_0(X90),X93,X92))|k1_vectsp_6(X88,X89,X94)!=k6_domain_1(X91,X92)|~m2_vectsp_6(X94,X88,X89,X91)|(~v1_funct_1(X93)|~v1_funct_2(X93,X91,u1_struct_0(X90))|~m1_subset_1(X93,k1_zfmisc_1(k2_zfmisc_1(X91,u1_struct_0(X90)))))|~m2_subset_1(X92,u1_struct_0(X89),X91)|(v1_xboole_0(X91)|~v1_finset_1(X91)|~m1_subset_1(X91,k1_zfmisc_1(u1_struct_0(X89))))|(v2_struct_0(X90)|~v13_algstr_0(X90)|~v2_rlvect_1(X90)|~v3_rlvect_1(X90)|~v4_rlvect_1(X90)|~v8_vectsp_1(X90,X88)|~v9_vectsp_1(X90,X88)|~v10_vectsp_1(X90,X88)|~v11_vectsp_1(X90,X88)|~l1_vectsp_1(X90,X88))|(v2_struct_0(X89)|~v13_algstr_0(X89)|~v2_rlvect_1(X89)|~v3_rlvect_1(X89)|~v4_rlvect_1(X89)|~v8_vectsp_1(X89,X88)|~v9_vectsp_1(X89,X88)|~v10_vectsp_1(X89,X88)|~v11_vectsp_1(X89,X88)|~l1_vectsp_1(X89,X88))|~epred1_1(X88))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])).
cnf(c_0_52, negated_conjecture, (k1_vectsp_6(esk1_0,esk2_0,X1)=k6_domain_1(u1_struct_0(esk2_0),k4_vectsp_6(esk1_0,esk2_0,X1))|~m2_vectsp_6(X1,esk1_0,esk2_0,esk4_0)|~r2_tarski(k4_vectsp_6(esk1_0,esk2_0,X1),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(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_20, c_0_21]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41])]), c_0_42]), c_0_43]), c_0_44])).
cnf(c_0_53, negated_conjecture, (m2_vectsp_6(esk6_0,esk1_0,esk2_0,esk4_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_54, negated_conjecture, (k4_vectsp_6(esk1_0,esk2_0,esk6_0)=esk5_0), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_55, negated_conjecture, (r2_tarski(esk5_0,esk4_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
fof(c_0_56, plain, ![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>epred1_1(X1)), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[t11_vectsp13]), c_0_15])).
fof(c_0_57, plain, ![X71, X72, X73]:((~m2_subset_1(X73,X71,X72)|m1_subset_1(X73,X72)|(v1_xboole_0(X71)|v1_xboole_0(X72)|~m1_subset_1(X72,k1_zfmisc_1(X71))))&(~m1_subset_1(X73,X72)|m2_subset_1(X73,X71,X72)|(v1_xboole_0(X71)|v1_xboole_0(X72)|~m1_subset_1(X72,k1_zfmisc_1(X71))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])])).
cnf(c_0_58, plain, (m1_subset_1(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_59, plain, (~r2_tarski(X1,X2)|~m1_subset_1(X2,k1_zfmisc_1(X3))|~v1_xboole_0(X3)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_60, plain, (k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,X4)=k5_struct_0(X2)|v2_struct_0(X1)|v2_struct_0(X2)|v6_struct_0(X2)|k4_vectsp_6(X2,X1,X3)!=X4|~m2_vectsp_6(X3,X2,X1,X5)|~r2_tarski(X4,X5)|~m1_subset_1(X4,u1_struct_0(X1))|~v1_vectsp_7(X5,X2,X1)|~m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v8_vectsp_1(X1,X2)|~v9_vectsp_1(X1,X2)|~v10_vectsp_1(X1,X2)|~v11_vectsp_1(X1,X2)|~l1_vectsp_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_12])).
fof(c_0_61, plain, ![X69, X70]:(v1_xboole_0(X69)|~m1_subset_1(X70,X69)|k6_domain_1(X69,X70)=k1_tarski(X70)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])).
fof(c_0_62, plain, ![X1, X2, X3]:((((((((((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))&~v2_struct_0(X2))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&l1_vectsp_1(X2,X1))&m1_subset_1(X3,u1_struct_0(X2)))=>k3_vectsp_1(X1,X2,k5_struct_0(X1),X3)=X3), inference(fof_simplification,[status(thm)],[rd5_vectsp_1])).
fof(c_0_63, plain, ![X58, X59, X60, X61]:(v1_xboole_0(X58)|~v1_funct_1(X60)|~v1_funct_2(X60,X58,X59)|~m1_subset_1(X60,k1_zfmisc_1(k2_zfmisc_1(X58,X59)))|~m1_subset_1(X61,X58)|m1_subset_1(k3_funct_2(X58,X59,X60,X61),X59)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])).
fof(c_0_64, plain, ![X65, X66, X67, X68]:(v1_xboole_0(X65)|~v1_funct_1(X67)|~v1_funct_2(X67,X65,X66)|~m1_subset_1(X67,k1_zfmisc_1(k2_zfmisc_1(X65,X66)))|~m1_subset_1(X68,X65)|k3_funct_2(X65,X66,X67,X68)=k1_funct_1(X67,X68)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])).
cnf(c_0_65, plain, (k4_vectsp_6(X1,X2,k3_vectsp13(X1,X3,X2,X4,X5,X6))=k3_vectsp_1(X1,X2,k3_funct_2(u1_struct_0(X3),u1_struct_0(X1),X5,X7),k3_funct_2(X4,u1_struct_0(X2),X6,X7))|v1_xboole_0(X4)|v2_struct_0(X2)|v2_struct_0(X3)|k1_vectsp_6(X1,X3,X5)!=k6_domain_1(X4,X7)|~m2_vectsp_6(X5,X1,X3,X4)|~v1_funct_1(X6)|~v1_funct_2(X6,X4,u1_struct_0(X2))|~m1_subset_1(X6,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X2))))|~m2_subset_1(X7,u1_struct_0(X3),X4)|~v1_finset_1(X4)|~m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v8_vectsp_1(X2,X1)|~v9_vectsp_1(X2,X1)|~v10_vectsp_1(X2,X1)|~v11_vectsp_1(X2,X1)|~l1_vectsp_1(X2,X1)|~v13_algstr_0(X3)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~v8_vectsp_1(X3,X1)|~v9_vectsp_1(X3,X1)|~v10_vectsp_1(X3,X1)|~v11_vectsp_1(X3,X1)|~l1_vectsp_1(X3,X1)|~epred1_1(X1)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_66, negated_conjecture, (k1_vectsp_6(esk1_0,esk2_0,esk6_0)=k6_domain_1(u1_struct_0(esk2_0),esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_54]), c_0_54]), c_0_55])])).
fof(c_0_67, plain, ![X74]:(v2_struct_0(X74)|v6_struct_0(X74)|~v13_algstr_0(X74)|~v33_algstr_0(X74)|~v2_rlvect_1(X74)|~v3_rlvect_1(X74)|~v4_rlvect_1(X74)|~v4_vectsp_1(X74)|~v5_vectsp_1(X74)|~v3_group_1(X74)|~v5_group_1(X74)|~l6_algstr_0(X74)|epred1_1(X74)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])).
cnf(c_0_68, plain, (m2_subset_1(X1,X3,X2)|v1_xboole_0(X3)|v1_xboole_0(X2)|~m1_subset_1(X1,X2)|~m1_subset_1(X2,k1_zfmisc_1(X3))), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_69, negated_conjecture, (m1_subset_1(esk5_0,esk4_0)), inference(spm,[status(thm)],[c_0_58, c_0_55])).
cnf(c_0_70, negated_conjecture, (~v1_xboole_0(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_71, negated_conjecture, (~m1_subset_1(esk4_0,k1_zfmisc_1(X1))|~v1_xboole_0(X1)), inference(spm,[status(thm)],[c_0_59, c_0_55])).
cnf(c_0_72, plain, (k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,k4_vectsp_6(X2,X1,X3))=k5_struct_0(X2)|v6_struct_0(X2)|v2_struct_0(X2)|v2_struct_0(X1)|~m2_vectsp_6(X3,X2,X1,X4)|~r2_tarski(k4_vectsp_6(X2,X1,X3),X4)|~v1_vectsp_7(X4,X2,X1)|~m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))|~l1_vectsp_1(X1,X2)|~v11_vectsp_1(X1,X2)|~v10_vectsp_1(X1,X2)|~v9_vectsp_1(X1,X2)|~v8_vectsp_1(X1,X2)|~l6_algstr_0(X2)|~v5_group_1(X2)|~v3_group_1(X2)|~v5_vectsp_1(X2)|~v4_vectsp_1(X2)|~v4_rlvect_1(X2)|~v4_rlvect_1(X1)|~v3_rlvect_1(X2)|~v3_rlvect_1(X1)|~v2_rlvect_1(X2)|~v2_rlvect_1(X1)|~v33_algstr_0(X2)|~v13_algstr_0(X2)|~v13_algstr_0(X1)), inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_60, c_0_17])])).
cnf(c_0_73, plain, (v1_xboole_0(X1)|k6_domain_1(X1,X2)=k1_tarski(X2)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_61])).
fof(c_0_74, plain, ![X62, X63, X64]:(v2_struct_0(X62)|~v13_algstr_0(X62)|~v2_rlvect_1(X62)|~v3_rlvect_1(X62)|~v4_rlvect_1(X62)|~v3_group_1(X62)|~v4_vectsp_1(X62)|~v5_vectsp_1(X62)|~l6_algstr_0(X62)|v2_struct_0(X63)|~v13_algstr_0(X63)|~v2_rlvect_1(X63)|~v3_rlvect_1(X63)|~v4_rlvect_1(X63)|~v8_vectsp_1(X63,X62)|~v9_vectsp_1(X63,X62)|~v10_vectsp_1(X63,X62)|~v11_vectsp_1(X63,X62)|~l1_vectsp_1(X63,X62)|~m1_subset_1(X64,u1_struct_0(X63))|k3_vectsp_1(X62,X63,k5_struct_0(X62),X64)=X64), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])).
cnf(c_0_75, plain, (v1_xboole_0(X1)|m1_subset_1(k3_funct_2(X1,X3,X2,X4),X3)|~v1_funct_1(X2)|~v1_funct_2(X2,X1,X3)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X3)))|~m1_subset_1(X4,X1)), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_76, negated_conjecture, (v1_funct_2(esk7_0,esk4_0,u1_struct_0(esk3_0))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_77, negated_conjecture, (v1_funct_1(esk7_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_78, negated_conjecture, (m1_subset_1(esk7_0,k1_zfmisc_1(k2_zfmisc_1(esk4_0,u1_struct_0(esk3_0))))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_79, plain, (v1_xboole_0(X1)|k3_funct_2(X1,X3,X2,X4)=k1_funct_1(X2,X4)|~v1_funct_1(X2)|~v1_funct_2(X2,X1,X3)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X3)))|~m1_subset_1(X4,X1)), inference(split_conjunct,[status(thm)],[c_0_64])).
cnf(c_0_80, negated_conjecture, (k3_vectsp_1(esk1_0,X1,k3_funct_2(u1_struct_0(esk2_0),u1_struct_0(esk1_0),esk6_0,X2),k3_funct_2(X3,u1_struct_0(X1),X4,X2))=k4_vectsp_6(esk1_0,X1,k3_vectsp13(esk1_0,esk2_0,X1,X3,esk6_0,X4))|v1_xboole_0(X3)|v2_struct_0(X1)|k6_domain_1(u1_struct_0(esk2_0),esk5_0)!=k6_domain_1(X3,X2)|~epred1_1(esk1_0)|~m2_subset_1(X2,u1_struct_0(esk2_0),X3)|~v1_funct_2(X4,X3,u1_struct_0(X1))|~v1_funct_1(X4)|~m2_vectsp_6(esk6_0,esk1_0,esk2_0,X3)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X3,u1_struct_0(X1))))|~m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(esk2_0)))|~v1_finset_1(X3)|~l1_vectsp_1(X1,esk1_0)|~v11_vectsp_1(X1,esk1_0)|~v10_vectsp_1(X1,esk1_0)|~v9_vectsp_1(X1,esk1_0)|~v8_vectsp_1(X1,esk1_0)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), 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_65, c_0_66]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_33]), c_0_35]), c_0_37]), c_0_40])]), c_0_44])).
cnf(c_0_81, plain, (v2_struct_0(X1)|v6_struct_0(X1)|epred1_1(X1)|~v13_algstr_0(X1)|~v33_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_67])).
cnf(c_0_82, negated_conjecture, (m2_subset_1(esk5_0,X1,esk4_0)|~m1_subset_1(esk4_0,k1_zfmisc_1(X1))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_70]), c_0_71])).
cnf(c_0_83, negated_conjecture, (k3_funct_2(u1_struct_0(esk2_0),u1_struct_0(esk1_0),X1,k4_vectsp_6(esk1_0,esk2_0,X1))=k5_struct_0(esk1_0)|~m2_vectsp_6(X1,esk1_0,esk2_0,esk4_0)|~r2_tarski(k4_vectsp_6(esk1_0,esk2_0,X1),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(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_72, c_0_21]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_34]), c_0_33]), c_0_36]), c_0_35]), c_0_38]), c_0_37]), c_0_39]), c_0_41]), c_0_40])]), c_0_42]), c_0_44]), c_0_43])).
cnf(c_0_84, negated_conjecture, (m1_subset_1(esk5_0,u1_struct_0(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_85, negated_conjecture, (~v1_xboole_0(u1_struct_0(esk2_0))), inference(spm,[status(thm)],[c_0_71, c_0_22])).
cnf(c_0_86, negated_conjecture, (k1_tarski(esk5_0)=k6_domain_1(esk4_0,esk5_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_69]), c_0_70])).
cnf(c_0_87, plain, (v2_struct_0(X1)|v2_struct_0(X2)|k3_vectsp_1(X1,X2,k5_struct_0(X1),X3)=X3|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v8_vectsp_1(X2,X1)|~v9_vectsp_1(X2,X1)|~v10_vectsp_1(X2,X1)|~v11_vectsp_1(X2,X1)|~l1_vectsp_1(X2,X1)|~m1_subset_1(X3,u1_struct_0(X2))), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_88, negated_conjecture, (l1_vectsp_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_89, negated_conjecture, (v11_vectsp_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_90, negated_conjecture, (v10_vectsp_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_91, negated_conjecture, (v9_vectsp_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_92, negated_conjecture, (v8_vectsp_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_93, negated_conjecture, (v4_rlvect_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_94, negated_conjecture, (v3_rlvect_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_95, negated_conjecture, (v2_rlvect_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_96, negated_conjecture, (v13_algstr_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_97, negated_conjecture, (~v2_struct_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_98, negated_conjecture, (m1_subset_1(k3_funct_2(esk4_0,u1_struct_0(esk3_0),esk7_0,X1),u1_struct_0(esk3_0))|~m1_subset_1(X1,esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_76]), c_0_77]), c_0_78])]), c_0_70])).
cnf(c_0_99, negated_conjecture, (k1_funct_1(esk7_0,X1)=k3_funct_2(esk4_0,u1_struct_0(esk3_0),esk7_0,X1)|~m1_subset_1(X1,esk4_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_76]), c_0_77]), c_0_78])]), c_0_70])).
cnf(c_0_100, negated_conjecture, (k3_vectsp_1(esk1_0,X1,k3_funct_2(u1_struct_0(esk2_0),u1_struct_0(esk1_0),esk6_0,X2),k3_funct_2(X3,u1_struct_0(X1),X4,X2))=k4_vectsp_6(esk1_0,X1,k3_vectsp13(esk1_0,esk2_0,X1,X3,esk6_0,X4))|v1_xboole_0(X3)|v2_struct_0(X1)|k6_domain_1(u1_struct_0(esk2_0),esk5_0)!=k6_domain_1(X3,X2)|~m2_subset_1(X2,u1_struct_0(esk2_0),X3)|~v1_funct_2(X4,X3,u1_struct_0(X1))|~v1_funct_1(X4)|~m2_vectsp_6(esk6_0,esk1_0,esk2_0,X3)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X3,u1_struct_0(X1))))|~m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(esk2_0)))|~v1_finset_1(X3)|~l1_vectsp_1(X1,esk1_0)|~v11_vectsp_1(X1,esk1_0)|~v10_vectsp_1(X1,esk1_0)|~v9_vectsp_1(X1,esk1_0)|~v8_vectsp_1(X1,esk1_0)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), 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_80, c_0_81]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_34]), c_0_36]), c_0_38]), c_0_39]), c_0_41])]), c_0_42]), c_0_43])).
cnf(c_0_101, negated_conjecture, (m2_subset_1(esk5_0,u1_struct_0(esk2_0),esk4_0)), inference(spm,[status(thm)],[c_0_82, c_0_22])).
cnf(c_0_102, negated_conjecture, (k3_funct_2(u1_struct_0(esk2_0),u1_struct_0(esk1_0),esk6_0,esk5_0)=k5_struct_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_53]), c_0_54]), c_0_54]), c_0_55])])).
cnf(c_0_103, negated_conjecture, (k6_domain_1(esk4_0,esk5_0)=k6_domain_1(u1_struct_0(esk2_0),esk5_0)), inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_84]), c_0_85]), c_0_86])).
cnf(c_0_104, negated_conjecture, (v1_finset_1(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_105, negated_conjecture, (k3_vectsp_1(esk1_0,esk3_0,k5_struct_0(esk1_0),X1)=X1|~m1_subset_1(X1,u1_struct_0(esk3_0))), 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(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_87, c_0_88]), c_0_89]), c_0_90]), c_0_91]), c_0_92]), c_0_28]), c_0_30]), c_0_31]), c_0_32]), c_0_93]), c_0_34]), c_0_94]), c_0_36]), c_0_95]), c_0_38]), c_0_96]), c_0_41])]), c_0_97]), c_0_43])).
cnf(c_0_106, negated_conjecture, (m1_subset_1(k3_funct_2(esk4_0,u1_struct_0(esk3_0),esk7_0,esk5_0),u1_struct_0(esk3_0))), inference(spm,[status(thm)],[c_0_98, c_0_69])).
cnf(c_0_107, negated_conjecture, (k4_vectsp_6(esk1_0,esk3_0,k3_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0,esk7_0))!=k1_funct_1(esk7_0,esk5_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_108, negated_conjecture, (k1_funct_1(esk7_0,esk5_0)=k3_funct_2(esk4_0,u1_struct_0(esk3_0),esk7_0,esk5_0)), inference(spm,[status(thm)],[c_0_99, c_0_69])).
cnf(c_0_109, negated_conjecture, (k3_vectsp_1(esk1_0,X1,k5_struct_0(esk1_0),k3_funct_2(esk4_0,u1_struct_0(X1),X2,esk5_0))=k4_vectsp_6(esk1_0,X1,k3_vectsp13(esk1_0,esk2_0,X1,esk4_0,esk6_0,X2))|v2_struct_0(X1)|~v1_funct_2(X2,esk4_0,u1_struct_0(X1))|~v1_funct_1(X2)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(esk4_0,u1_struct_0(X1))))|~l1_vectsp_1(X1,esk1_0)|~v11_vectsp_1(X1,esk1_0)|~v10_vectsp_1(X1,esk1_0)|~v9_vectsp_1(X1,esk1_0)|~v8_vectsp_1(X1,esk1_0)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), 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_100, c_0_101]), c_0_102]), c_0_103]), c_0_53]), c_0_22]), c_0_104])]), c_0_70])).
cnf(c_0_110, negated_conjecture, (k3_vectsp_1(esk1_0,esk3_0,k5_struct_0(esk1_0),k3_funct_2(esk4_0,u1_struct_0(esk3_0),esk7_0,esk5_0))=k3_funct_2(esk4_0,u1_struct_0(esk3_0),esk7_0,esk5_0)), inference(spm,[status(thm)],[c_0_105, c_0_106])).
cnf(c_0_111, negated_conjecture, (k4_vectsp_6(esk1_0,esk3_0,k3_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk6_0,esk7_0))!=k3_funct_2(esk4_0,u1_struct_0(esk3_0),esk7_0,esk5_0)), inference(rw,[status(thm)],[c_0_107, c_0_108])).
cnf(c_0_112, negated_conjecture, ($false), 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_76]), c_0_110]), c_0_77]), c_0_78]), c_0_88]), c_0_89]), c_0_90]), c_0_91]), c_0_92]), c_0_93]), c_0_94]), c_0_95]), c_0_96])]), c_0_111]), c_0_97]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 113
# Proof object clause steps            : 80
# Proof object formula steps           : 33
# Proof object conjectures             : 69
# Proof object clause conjectures      : 66
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 56
# Proof object initial formulas used   : 11
# Proof object generating inferences   : 21
# Proof object simplifying inferences  : 139
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 11
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 58
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 58
# Processed clauses                    : 161
# ...of these trivial                  : 0
# ...subsumed                          : 1
# ...remaining for further processing  : 160
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 4
# Backward-rewritten                   : 2
# Generated clauses                    : 49
# ...of the previous two non-trivial   : 48
# Contextual simplify-reflections      : 5
# Paramodulations                      : 47
# 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  : 94
#    Positive orientable unit clauses  : 49
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 7
#    Non-unit-clauses                  : 38
# Current number of unprocessed clauses: 3
# ...number of literals in the above   : 54
# Current number of archived formulas  : 0
# Current number of archived clauses   : 64
# Clause-clause subsumption calls (NU) : 6581
# Rec. Clause-clause subsumption calls : 96
# Non-unit clause-clause subsumptions  : 10
# Unit Clause-clause subsumption calls : 16
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 7
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 11792

# -------------------------------------------------
# User time                : 0.033 s
# System time              : 0.004 s
# Total time               : 0.037 s
# Maximum resident set size: 3400 pages
