# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
# and selection function PSelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.025 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(redefinition_k1_vectsp13, axiom, ![X1, X2, X3, X4, X5]:(((((((((((((((((((((((((((((((((((((~(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))&~(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))&~(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))&~(v1_xboole_0(X4)))&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))&v1_funct_1(X5))&v1_funct_2(X5,X4,u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>k1_vectsp13(X1,X2,X3,X4,X5)=k10_xtuple_0(X5)), file('vectsp13/vectsp13__l12_vectsp13', redefinition_k1_vectsp13)).
fof(l12_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))&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))=>![X5]:(((v1_funct_1(X5)&v1_funct_2(X5,X4,u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>(v2_funct_1(X5)=>![X6]:(m1_subset_1(X6,u1_struct_0(X3))=>(r2_tarski(X6,k1_vectsp13(X1,X2,X3,X4,X5))=>k8_relset_1(X4,u1_struct_0(X3),X5,k6_domain_1(u1_struct_0(X3),X6))=k1_tarski(k1_funct_1(k2_funct_1(X5),X6)))))))))), file('vectsp13/vectsp13__l12_vectsp13', l12_vectsp13)).
fof(d1_tarski, axiom, ![X1, X2]:(X2=k1_tarski(X1)<=>![X3]:(r2_hidden(X3,X2)<=>X3=X1)), file('vectsp13/vectsp13__l12_vectsp13', d1_tarski)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('vectsp13/vectsp13__l12_vectsp13', redefinition_r2_tarski)).
fof(t74_funct_1, axiom, ![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>(![X2]:~((r2_hidden(X2,k10_xtuple_0(X1))&![X3]:k8_relat_1(X1,k1_tarski(X2))!=k1_tarski(X3)))<=>v2_funct_1(X1))), file('vectsp13/vectsp13__l12_vectsp13', t74_funct_1)).
fof(cc1_relset_1, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>v1_relat_1(X3)), file('vectsp13/vectsp13__l12_vectsp13', cc1_relset_1)).
fof(dt_k1_vectsp13, axiom, ![X1, X2, X3, X4, X5]:(((((((((((((((((((((((((((((((((((((~(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))&~(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))&~(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))&~(v1_xboole_0(X4)))&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))&v1_funct_1(X5))&v1_funct_2(X5,X4,u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>m1_subset_1(k1_vectsp13(X1,X2,X3,X4,X5),k1_zfmisc_1(u1_struct_0(X3)))), file('vectsp13/vectsp13__l12_vectsp13', dt_k1_vectsp13)).
fof(d7_funct_1, axiom, ![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>![X2, X3]:(X3=k8_relat_1(X1,X2)<=>![X4]:(r2_hidden(X4,X3)<=>(r2_hidden(X4,k9_xtuple_0(X1))&r2_tarski(k1_funct_1(X1,X4),X2))))), file('vectsp13/vectsp13__l12_vectsp13', d7_funct_1)).
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__l12_vectsp13', redefinition_k6_domain_1)).
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__l12_vectsp13', t5_subset)).
fof(redefinition_k8_relset_1, axiom, ![X1, X2, X3, X4]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>k8_relset_1(X1,X2,X3,X4)=k8_relat_1(X3,X4)), file('vectsp13/vectsp13__l12_vectsp13', redefinition_k8_relset_1)).
fof(t34_funct_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>((v2_funct_1(X2)&r2_hidden(X1,k9_xtuple_0(X2)))=>(X1=k1_funct_1(k2_funct_1(X2),k1_funct_1(X2,X1))&X1=k1_funct_1(k3_relat_1(X2,k2_funct_1(X2)),X1)))), file('vectsp13/vectsp13__l12_vectsp13', t34_funct_1)).
fof(c_0_12, plain, ![X1, X2, X3, X4, X5]:(((((((((((((((((((((((((((((((((((((~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))&~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))&~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))&~v1_xboole_0(X4))&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))&v1_funct_1(X5))&v1_funct_2(X5,X4,u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>k1_vectsp13(X1,X2,X3,X4,X5)=k10_xtuple_0(X5)), inference(fof_simplification,[status(thm)],[redefinition_k1_vectsp13])).
fof(c_0_13, 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)&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))=>![X5]:(((v1_funct_1(X5)&v1_funct_2(X5,X4,u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>(v2_funct_1(X5)=>![X6]:(m1_subset_1(X6,u1_struct_0(X3))=>(r2_tarski(X6,k1_vectsp13(X1,X2,X3,X4,X5))=>k8_relset_1(X4,u1_struct_0(X3),X5,k6_domain_1(u1_struct_0(X3),X6))=k1_tarski(k1_funct_1(k2_funct_1(X5),X6))))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l12_vectsp13])])).
fof(c_0_14, plain, ![X58, X59, X60, X61, X62, X63]:(((~r2_hidden(X60,X59)|X60=X58|X59!=k1_tarski(X58))&(X61!=X58|r2_hidden(X61,X59)|X59!=k1_tarski(X58)))&((~r2_hidden(esk7_2(X62,X63),X63)|esk7_2(X62,X63)!=X62|X63=k1_tarski(X62))&(r2_hidden(esk7_2(X62,X63),X63)|esk7_2(X62,X63)=X62|X63=k1_tarski(X62)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_tarski])])])])])])).
fof(c_0_15, plain, ![X78, X79, X80, X81, X82]:(v2_struct_0(X78)|v6_struct_0(X78)|~v13_algstr_0(X78)|~v33_algstr_0(X78)|~v2_rlvect_1(X78)|~v3_rlvect_1(X78)|~v4_rlvect_1(X78)|~v4_vectsp_1(X78)|~v5_vectsp_1(X78)|~v3_group_1(X78)|~v5_group_1(X78)|~l6_algstr_0(X78)|v2_struct_0(X79)|~v13_algstr_0(X79)|~v2_rlvect_1(X79)|~v3_rlvect_1(X79)|~v4_rlvect_1(X79)|~v8_vectsp_1(X79,X78)|~v9_vectsp_1(X79,X78)|~v10_vectsp_1(X79,X78)|~v11_vectsp_1(X79,X78)|~l1_vectsp_1(X79,X78)|v2_struct_0(X80)|~v13_algstr_0(X80)|~v2_rlvect_1(X80)|~v3_rlvect_1(X80)|~v4_rlvect_1(X80)|~v8_vectsp_1(X80,X78)|~v9_vectsp_1(X80,X78)|~v10_vectsp_1(X80,X78)|~v11_vectsp_1(X80,X78)|~l1_vectsp_1(X80,X78)|v1_xboole_0(X81)|~m1_subset_1(X81,k1_zfmisc_1(u1_struct_0(X79)))|~v1_funct_1(X82)|~v1_funct_2(X82,X81,u1_struct_0(X80))|~m1_subset_1(X82,k1_zfmisc_1(k2_zfmisc_1(X81,u1_struct_0(X80))))|k1_vectsp13(X78,X79,X80,X81,X82)=k10_xtuple_0(X82)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])).
fof(c_0_16, 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)&m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0))))&(((v1_funct_1(esk5_0)&v1_funct_2(esk5_0,esk4_0,u1_struct_0(esk3_0)))&m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk4_0,u1_struct_0(esk3_0)))))&(v2_funct_1(esk5_0)&(m1_subset_1(esk6_0,u1_struct_0(esk3_0))&(r2_tarski(esk6_0,k1_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0))&k8_relset_1(esk4_0,u1_struct_0(esk3_0),esk5_0,k6_domain_1(u1_struct_0(esk3_0),esk6_0))!=k1_tarski(k1_funct_1(k2_funct_1(esk5_0),esk6_0)))))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])).
cnf(c_0_17, plain, (r2_hidden(X1,X3)|X1!=X2|X3!=k1_tarski(X2)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_18, plain, (v2_struct_0(X1)|v6_struct_0(X1)|v2_struct_0(X2)|v2_struct_0(X3)|v1_xboole_0(X4)|k1_vectsp13(X1,X2,X3,X4,X5)=k10_xtuple_0(X5)|~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)|~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)|~m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))|~v1_funct_1(X5)|~v1_funct_2(X5,X4,u1_struct_0(X3))|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3))))), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_19, negated_conjecture, (m1_subset_1(esk5_0,k1_zfmisc_1(k2_zfmisc_1(esk4_0,u1_struct_0(esk3_0))))), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_20, negated_conjecture, (v1_funct_2(esk5_0,esk4_0,u1_struct_0(esk3_0))), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_21, negated_conjecture, (v1_funct_1(esk5_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_22, negated_conjecture, (v4_rlvect_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_23, negated_conjecture, (v3_rlvect_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_24, negated_conjecture, (v2_rlvect_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_25, negated_conjecture, (v13_algstr_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_26, negated_conjecture, (~v1_xboole_0(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_27, negated_conjecture, (~v2_struct_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_28, plain, (r2_hidden(X1,X2)|X2!=k1_tarski(X1)), inference(er,[status(thm)],[c_0_17])).
fof(c_0_29, plain, ![X89, X90]:((~r2_tarski(X89,X90)|r2_hidden(X89,X90))&(~r2_hidden(X89,X90)|r2_tarski(X89,X90))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_30, negated_conjecture, (k1_vectsp13(X1,X2,esk3_0,esk4_0,esk5_0)=k10_xtuple_0(esk5_0)|v6_struct_0(X1)|v2_struct_0(X2)|v2_struct_0(X1)|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X2)))|~l1_vectsp_1(esk3_0,X1)|~l1_vectsp_1(X2,X1)|~v11_vectsp_1(esk3_0,X1)|~v11_vectsp_1(X2,X1)|~v10_vectsp_1(esk3_0,X1)|~v10_vectsp_1(X2,X1)|~v9_vectsp_1(esk3_0,X1)|~v9_vectsp_1(X2,X1)|~v8_vectsp_1(esk3_0,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(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(spm,[status(thm)],[c_0_18, c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24]), c_0_25])]), c_0_26]), c_0_27])).
cnf(c_0_31, negated_conjecture, (m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_32, negated_conjecture, (v4_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_33, negated_conjecture, (v3_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_34, negated_conjecture, (v2_rlvect_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_35, negated_conjecture, (v13_algstr_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_36, negated_conjecture, (~v2_struct_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_37, plain, (X1=X3|~r2_hidden(X1,X2)|X2!=k1_tarski(X3)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_38, plain, (r2_hidden(X1,k1_tarski(X1))), inference(er,[status(thm)],[c_0_28])).
fof(c_0_39, plain, ![X96, X98, X99]:(((r2_hidden(esk9_1(X96),k10_xtuple_0(X96))|v2_funct_1(X96)|(~v1_relat_1(X96)|~v1_funct_1(X96)))&(k8_relat_1(X96,k1_tarski(esk9_1(X96)))!=k1_tarski(X98)|v2_funct_1(X96)|(~v1_relat_1(X96)|~v1_funct_1(X96))))&(~v2_funct_1(X96)|(~r2_hidden(X99,k10_xtuple_0(X96))|k8_relat_1(X96,k1_tarski(X99))=k1_tarski(esk10_2(X96,X99)))|(~v1_relat_1(X96)|~v1_funct_1(X96)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t74_funct_1])])])])])).
cnf(c_0_40, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_41, negated_conjecture, (r2_tarski(esk6_0,k1_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0))), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_42, negated_conjecture, (k1_vectsp13(X1,esk2_0,esk3_0,esk4_0,esk5_0)=k10_xtuple_0(esk5_0)|v6_struct_0(X1)|v2_struct_0(X1)|~l1_vectsp_1(esk3_0,X1)|~l1_vectsp_1(esk2_0,X1)|~v11_vectsp_1(esk3_0,X1)|~v11_vectsp_1(esk2_0,X1)|~v10_vectsp_1(esk3_0,X1)|~v10_vectsp_1(esk2_0,X1)|~v9_vectsp_1(esk3_0,X1)|~v9_vectsp_1(esk2_0,X1)|~v8_vectsp_1(esk3_0,X1)|~v8_vectsp_1(esk2_0,X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(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(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35])]), c_0_36])).
cnf(c_0_43, negated_conjecture, (l1_vectsp_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_44, negated_conjecture, (l1_vectsp_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_45, negated_conjecture, (v11_vectsp_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_46, negated_conjecture, (v11_vectsp_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_47, negated_conjecture, (v10_vectsp_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_48, negated_conjecture, (v10_vectsp_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_49, negated_conjecture, (v9_vectsp_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_50, negated_conjecture, (v9_vectsp_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_51, negated_conjecture, (v8_vectsp_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_52, negated_conjecture, (v8_vectsp_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_53, negated_conjecture, (l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_54, negated_conjecture, (v5_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_55, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_56, negated_conjecture, (v5_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_57, negated_conjecture, (v4_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_58, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_59, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_60, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_61, negated_conjecture, (v33_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_62, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_63, negated_conjecture, (~v6_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_64, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
fof(c_0_65, plain, ![X55, X56, X57]:(~m1_subset_1(X57,k1_zfmisc_1(k2_zfmisc_1(X55,X56)))|v1_relat_1(X57)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])).
cnf(c_0_66, plain, (X1=X2|k1_tarski(X1)!=k1_tarski(X2)), inference(spm,[status(thm)],[c_0_37, c_0_38])).
cnf(c_0_67, plain, (k8_relat_1(X1,k1_tarski(X2))=k1_tarski(esk10_2(X1,X2))|~v2_funct_1(X1)|~r2_hidden(X2,k10_xtuple_0(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_68, negated_conjecture, (r2_hidden(esk6_0,k1_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0))), inference(spm,[status(thm)],[c_0_40, c_0_41])).
cnf(c_0_69, negated_conjecture, (k1_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0)=k10_xtuple_0(esk5_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44]), c_0_45]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53]), c_0_54]), c_0_55]), c_0_56]), c_0_57]), c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62])]), c_0_63]), c_0_64])).
cnf(c_0_70, plain, (v1_relat_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_65])).
cnf(c_0_71, plain, (esk10_2(X1,X2)=X3|k8_relat_1(X1,k1_tarski(X2))!=k1_tarski(X3)|~r2_hidden(X2,k10_xtuple_0(X1))|~v1_relat_1(X1)|~v2_funct_1(X1)|~v1_funct_1(X1)), inference(spm,[status(thm)],[c_0_66, c_0_67])).
cnf(c_0_72, negated_conjecture, (r2_hidden(esk6_0,k10_xtuple_0(esk5_0))), inference(rw,[status(thm)],[c_0_68, c_0_69])).
cnf(c_0_73, negated_conjecture, (v1_relat_1(esk5_0)), inference(spm,[status(thm)],[c_0_70, c_0_19])).
cnf(c_0_74, negated_conjecture, (v2_funct_1(esk5_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
fof(c_0_75, plain, ![X1, X2, X3, X4, X5]:(((((((((((((((((((((((((((((((((((((~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))&~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))&~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))&~v1_xboole_0(X4))&m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2))))&v1_funct_1(X5))&v1_funct_2(X5,X4,u1_struct_0(X3)))&m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3)))))=>m1_subset_1(k1_vectsp13(X1,X2,X3,X4,X5),k1_zfmisc_1(u1_struct_0(X3)))), inference(fof_simplification,[status(thm)],[dt_k1_vectsp13])).
cnf(c_0_76, negated_conjecture, (esk10_2(esk5_0,esk6_0)=X1|k8_relat_1(esk5_0,k1_tarski(esk6_0))!=k1_tarski(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_73]), c_0_74]), c_0_21])])).
fof(c_0_77, plain, ![X73, X74, X75, X76, X77]:(v2_struct_0(X73)|v6_struct_0(X73)|~v13_algstr_0(X73)|~v33_algstr_0(X73)|~v2_rlvect_1(X73)|~v3_rlvect_1(X73)|~v4_rlvect_1(X73)|~v4_vectsp_1(X73)|~v5_vectsp_1(X73)|~v3_group_1(X73)|~v5_group_1(X73)|~l6_algstr_0(X73)|v2_struct_0(X74)|~v13_algstr_0(X74)|~v2_rlvect_1(X74)|~v3_rlvect_1(X74)|~v4_rlvect_1(X74)|~v8_vectsp_1(X74,X73)|~v9_vectsp_1(X74,X73)|~v10_vectsp_1(X74,X73)|~v11_vectsp_1(X74,X73)|~l1_vectsp_1(X74,X73)|v2_struct_0(X75)|~v13_algstr_0(X75)|~v2_rlvect_1(X75)|~v3_rlvect_1(X75)|~v4_rlvect_1(X75)|~v8_vectsp_1(X75,X73)|~v9_vectsp_1(X75,X73)|~v10_vectsp_1(X75,X73)|~v11_vectsp_1(X75,X73)|~l1_vectsp_1(X75,X73)|v1_xboole_0(X76)|~m1_subset_1(X76,k1_zfmisc_1(u1_struct_0(X74)))|~v1_funct_1(X77)|~v1_funct_2(X77,X76,u1_struct_0(X75))|~m1_subset_1(X77,k1_zfmisc_1(k2_zfmisc_1(X76,u1_struct_0(X75))))|m1_subset_1(k1_vectsp13(X73,X74,X75,X76,X77),k1_zfmisc_1(u1_struct_0(X75)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_75])])).
fof(c_0_78, plain, ![X65, X66, X67, X68, X69, X70, X71]:((((r2_hidden(X68,k9_xtuple_0(X65))|~r2_hidden(X68,X67)|X67!=k8_relat_1(X65,X66)|(~v1_relat_1(X65)|~v1_funct_1(X65)))&(r2_tarski(k1_funct_1(X65,X68),X66)|~r2_hidden(X68,X67)|X67!=k8_relat_1(X65,X66)|(~v1_relat_1(X65)|~v1_funct_1(X65))))&(~r2_hidden(X69,k9_xtuple_0(X65))|~r2_tarski(k1_funct_1(X65,X69),X66)|r2_hidden(X69,X67)|X67!=k8_relat_1(X65,X66)|(~v1_relat_1(X65)|~v1_funct_1(X65))))&((~r2_hidden(esk8_3(X65,X70,X71),X71)|(~r2_hidden(esk8_3(X65,X70,X71),k9_xtuple_0(X65))|~r2_tarski(k1_funct_1(X65,esk8_3(X65,X70,X71)),X70))|X71=k8_relat_1(X65,X70)|(~v1_relat_1(X65)|~v1_funct_1(X65)))&((r2_hidden(esk8_3(X65,X70,X71),k9_xtuple_0(X65))|r2_hidden(esk8_3(X65,X70,X71),X71)|X71=k8_relat_1(X65,X70)|(~v1_relat_1(X65)|~v1_funct_1(X65)))&(r2_tarski(k1_funct_1(X65,esk8_3(X65,X70,X71)),X70)|r2_hidden(esk8_3(X65,X70,X71),X71)|X71=k8_relat_1(X65,X70)|(~v1_relat_1(X65)|~v1_funct_1(X65)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d7_funct_1])])])])])])).
cnf(c_0_79, negated_conjecture, (esk10_2(esk5_0,esk6_0)=esk10_2(X1,X2)|k8_relat_1(esk5_0,k1_tarski(esk6_0))!=k8_relat_1(X1,k1_tarski(X2))|~r2_hidden(X2,k10_xtuple_0(X1))|~v1_relat_1(X1)|~v2_funct_1(X1)|~v1_funct_1(X1)), inference(spm,[status(thm)],[c_0_76, c_0_67])).
cnf(c_0_80, plain, (v2_struct_0(X1)|v6_struct_0(X1)|v2_struct_0(X2)|v2_struct_0(X3)|v1_xboole_0(X4)|m1_subset_1(k1_vectsp13(X1,X2,X3,X4,X5),k1_zfmisc_1(u1_struct_0(X3)))|~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)|~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)|~m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))|~v1_funct_1(X5)|~v1_funct_2(X5,X4,u1_struct_0(X3))|~m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X4,u1_struct_0(X3))))), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_81, plain, (r2_tarski(k1_funct_1(X1,X2),X3)|~r2_hidden(X2,X4)|X4!=k8_relat_1(X1,X3)|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_78])).
cnf(c_0_82, negated_conjecture, (k1_tarski(esk10_2(X1,X2))=k8_relat_1(esk5_0,k1_tarski(esk6_0))|k8_relat_1(esk5_0,k1_tarski(esk6_0))!=k8_relat_1(X1,k1_tarski(X2))|~r2_hidden(X2,k10_xtuple_0(X1))|~v1_relat_1(X1)|~v2_funct_1(X1)|~v1_funct_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_79]), c_0_72]), c_0_73]), c_0_74]), c_0_21])])).
fof(c_0_83, 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])).
cnf(c_0_84, negated_conjecture, (m1_subset_1(k1_vectsp13(X1,X2,esk3_0,esk4_0,esk5_0),k1_zfmisc_1(u1_struct_0(esk3_0)))|v6_struct_0(X1)|v2_struct_0(X2)|v2_struct_0(X1)|~m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(X2)))|~l1_vectsp_1(esk3_0,X1)|~l1_vectsp_1(X2,X1)|~v11_vectsp_1(esk3_0,X1)|~v11_vectsp_1(X2,X1)|~v10_vectsp_1(esk3_0,X1)|~v10_vectsp_1(X2,X1)|~v9_vectsp_1(esk3_0,X1)|~v9_vectsp_1(X2,X1)|~v8_vectsp_1(esk3_0,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(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(spm,[status(thm)],[c_0_80, c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24]), c_0_25])]), c_0_26]), c_0_27])).
cnf(c_0_85, plain, (r2_tarski(k1_funct_1(X1,X2),X3)|~r2_hidden(X2,k8_relat_1(X1,X3))|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(er,[status(thm)],[c_0_81])).
cnf(c_0_86, negated_conjecture, (k1_tarski(esk10_2(esk5_0,esk6_0))=k8_relat_1(esk5_0,k1_tarski(esk6_0))|k8_relat_1(esk5_0,k1_tarski(esk6_0))!=k8_relat_1(X1,k1_tarski(X2))|~r2_hidden(X2,k10_xtuple_0(X1))|~v1_relat_1(X1)|~v2_funct_1(X1)|~v1_funct_1(X1)), inference(spm,[status(thm)],[c_0_82, c_0_79])).
fof(c_0_87, plain, ![X83, X84]:(v1_xboole_0(X83)|~m1_subset_1(X84,X83)|k6_domain_1(X83,X84)=k1_tarski(X84)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_83])])).
fof(c_0_88, plain, ![X93, X94, X95]:(~r2_tarski(X93,X94)|~m1_subset_1(X94,k1_zfmisc_1(X95))|~v1_xboole_0(X95)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])])).
cnf(c_0_89, negated_conjecture, (m1_subset_1(k1_vectsp13(X1,esk2_0,esk3_0,esk4_0,esk5_0),k1_zfmisc_1(u1_struct_0(esk3_0)))|v6_struct_0(X1)|v2_struct_0(X1)|~l1_vectsp_1(esk3_0,X1)|~l1_vectsp_1(esk2_0,X1)|~v11_vectsp_1(esk3_0,X1)|~v11_vectsp_1(esk2_0,X1)|~v10_vectsp_1(esk3_0,X1)|~v10_vectsp_1(esk2_0,X1)|~v9_vectsp_1(esk3_0,X1)|~v9_vectsp_1(esk2_0,X1)|~v8_vectsp_1(esk3_0,X1)|~v8_vectsp_1(esk2_0,X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(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(spm,[status(thm)],[c_0_84, c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35])]), c_0_36])).
cnf(c_0_90, plain, (r2_hidden(k1_funct_1(X1,X2),X3)|~r2_hidden(X2,k8_relat_1(X1,X3))|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(spm,[status(thm)],[c_0_40, c_0_85])).
cnf(c_0_91, negated_conjecture, (k1_tarski(esk10_2(esk5_0,esk6_0))=k8_relat_1(esk5_0,k1_tarski(esk6_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_72]), c_0_73]), c_0_74]), c_0_21])])).
cnf(c_0_92, 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_87])).
cnf(c_0_93, negated_conjecture, (m1_subset_1(esk6_0,u1_struct_0(esk3_0))), inference(split_conjunct,[status(thm)],[c_0_16])).
fof(c_0_94, plain, ![X85, X86, X87, X88]:(~m1_subset_1(X87,k1_zfmisc_1(k2_zfmisc_1(X85,X86)))|k8_relset_1(X85,X86,X87,X88)=k8_relat_1(X87,X88)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k8_relset_1])])).
cnf(c_0_95, plain, (~r2_tarski(X1,X2)|~m1_subset_1(X2,k1_zfmisc_1(X3))|~v1_xboole_0(X3)), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_96, negated_conjecture, (m1_subset_1(k1_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0),k1_zfmisc_1(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_43]), c_0_44]), c_0_45]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53]), c_0_54]), c_0_55]), c_0_56]), c_0_57]), c_0_58]), c_0_59]), c_0_60]), c_0_61]), c_0_62])]), c_0_63]), c_0_64])).
cnf(c_0_97, plain, (k1_funct_1(X1,X2)=X3|X4!=k1_tarski(X3)|~r2_hidden(X2,k8_relat_1(X1,X4))|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(spm,[status(thm)],[c_0_37, c_0_90])).
cnf(c_0_98, negated_conjecture, (r2_hidden(esk10_2(esk5_0,esk6_0),k8_relat_1(esk5_0,k1_tarski(esk6_0)))), inference(spm,[status(thm)],[c_0_38, c_0_91])).
cnf(c_0_99, plain, (r2_hidden(X1,k9_xtuple_0(X2))|~r2_hidden(X1,X3)|X3!=k8_relat_1(X2,X4)|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_78])).
cnf(c_0_100, negated_conjecture, (k8_relset_1(esk4_0,u1_struct_0(esk3_0),esk5_0,k6_domain_1(u1_struct_0(esk3_0),esk6_0))!=k1_tarski(k1_funct_1(k2_funct_1(esk5_0),esk6_0))), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_101, negated_conjecture, (k6_domain_1(u1_struct_0(esk3_0),esk6_0)=k1_tarski(esk6_0)|v1_xboole_0(u1_struct_0(esk3_0))), inference(spm,[status(thm)],[c_0_92, c_0_93])).
cnf(c_0_102, plain, (k8_relset_1(X2,X3,X1,X4)=k8_relat_1(X1,X4)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_94])).
cnf(c_0_103, negated_conjecture, (~r2_tarski(X1,k1_vectsp13(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0))|~v1_xboole_0(u1_struct_0(esk3_0))), inference(spm,[status(thm)],[c_0_95, c_0_96])).
fof(c_0_104, plain, ![X91, X92]:((X91=k1_funct_1(k2_funct_1(X92),k1_funct_1(X92,X91))|(~v2_funct_1(X92)|~r2_hidden(X91,k9_xtuple_0(X92)))|(~v1_relat_1(X92)|~v1_funct_1(X92)))&(X91=k1_funct_1(k3_relat_1(X92,k2_funct_1(X92)),X91)|(~v2_funct_1(X92)|~r2_hidden(X91,k9_xtuple_0(X92)))|(~v1_relat_1(X92)|~v1_funct_1(X92)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t34_funct_1])])])).
cnf(c_0_105, negated_conjecture, (k1_funct_1(esk5_0,esk10_2(esk5_0,esk6_0))=X1|k1_tarski(esk6_0)!=k1_tarski(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_98]), c_0_73]), c_0_21])])).
cnf(c_0_106, plain, (r2_hidden(X1,k9_xtuple_0(X2))|~r2_hidden(X1,k8_relat_1(X2,X3))|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(er,[status(thm)],[c_0_99])).
cnf(c_0_107, negated_conjecture, (v1_xboole_0(u1_struct_0(esk3_0))|k1_tarski(k1_funct_1(k2_funct_1(esk5_0),esk6_0))!=k8_relset_1(esk4_0,u1_struct_0(esk3_0),esk5_0,k1_tarski(esk6_0))), inference(spm,[status(thm)],[c_0_100, c_0_101])).
cnf(c_0_108, negated_conjecture, (k8_relset_1(esk4_0,u1_struct_0(esk3_0),esk5_0,X1)=k8_relat_1(esk5_0,X1)), inference(spm,[status(thm)],[c_0_102, c_0_19])).
cnf(c_0_109, negated_conjecture, (~v1_xboole_0(u1_struct_0(esk3_0))), inference(spm,[status(thm)],[c_0_103, c_0_41])).
cnf(c_0_110, plain, (X1=k1_funct_1(k2_funct_1(X2),k1_funct_1(X2,X1))|~v2_funct_1(X2)|~r2_hidden(X1,k9_xtuple_0(X2))|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_104])).
cnf(c_0_111, negated_conjecture, (k1_funct_1(esk5_0,esk10_2(esk5_0,esk6_0))=esk6_0), inference(er,[status(thm)],[c_0_105])).
cnf(c_0_112, negated_conjecture, (r2_hidden(esk10_2(esk5_0,esk6_0),k9_xtuple_0(esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_98]), c_0_73]), c_0_21])])).
cnf(c_0_113, negated_conjecture, (k1_tarski(k1_funct_1(k2_funct_1(esk5_0),esk6_0))!=k8_relat_1(esk5_0,k1_tarski(esk6_0))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_107, c_0_108]), c_0_109])).
cnf(c_0_114, negated_conjecture, (k1_funct_1(k2_funct_1(esk5_0),esk6_0)=esk10_2(esk5_0,esk6_0)), 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_110, c_0_111]), c_0_112]), c_0_73]), c_0_74]), c_0_21])])).
cnf(c_0_115, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_113, c_0_114]), c_0_91])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 116
# Proof object clause steps            : 88
# Proof object formula steps           : 28
# Proof object conjectures             : 70
# Proof object clause conjectures      : 67
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 54
# Proof object initial formulas used   : 12
# Proof object generating inferences   : 30
# Proof object simplifying inferences  : 105
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 12
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 64
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 64
# Processed clauses                    : 171
# ...of these trivial                  : 3
# ...subsumed                          : 23
# ...remaining for further processing  : 145
# Other redundant clauses eliminated   : 3
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 1
# Backward-rewritten                   : 10
# Generated clauses                    : 340
# ...of the previous two non-trivial   : 319
# Contextual simplify-reflections      : 1
# Paramodulations                      : 318
# Factorizations                       : 10
# NegExts                              : 0
# Equation resolutions                 : 11
# 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  : 132
#    Positive orientable unit clauses  : 47
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 6
#    Non-unit-clauses                  : 79
# Current number of unprocessed clauses: 209
# ...number of literals in the above   : 1555
# Current number of archived formulas  : 0
# Current number of archived clauses   : 12
# Clause-clause subsumption calls (NU) : 7989
# Rec. Clause-clause subsumption calls : 405
# Non-unit clause-clause subsumptions  : 21
# Unit Clause-clause subsumption calls : 247
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 7
# BW rewrite match successes           : 7
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 16983

# -------------------------------------------------
# User time                : 0.041 s
# System time              : 0.004 s
# Total time               : 0.044 s
# Maximum resident set size: 3300 pages
