# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(redefinition_k2_robbins3, axiom, ![X1]:(((~(v2_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>k2_robbins3(X1)=k8_filter_1(X1)), file('latwal_2/latwal_2__t34_latwal_2', redefinition_k2_robbins3)).
fof(t34_latwal_2, conjecture, ![X1]:(((~(v2_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>r2_relset_1(u1_struct_0(X1),u1_struct_0(X1),k2_robbins3(X1),k3_latwal_2(X1))), file('latwal_2/latwal_2__t34_latwal_2', t34_latwal_2)).
fof(fraenkel_a_1_0_filter_1, axiom, ![X1, X2]:(((~(v2_struct_0(X2))&v10_lattices(X2))&l3_lattices(X2))=>(r2_hidden(X1,a_1_0_filter_1(X2))<=>?[X3, X4]:(((m1_subset_1(X3,u1_struct_0(X2))&m1_subset_1(X4,u1_struct_0(X2)))&X1=k1_domain_1(u1_struct_0(X2),u1_struct_0(X2),X3,X4))&r3_lattices(X2,X3,X4)))), file('latwal_2/latwal_2__t34_latwal_2', fraenkel_a_1_0_filter_1)).
fof(d8_filter_1, axiom, ![X1]:(((~(v2_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>k8_filter_1(X1)=a_1_0_filter_1(X1)), file('latwal_2/latwal_2__t34_latwal_2', d8_filter_1)).
fof(t2_tarski, axiom, ![X1, X2]:(![X3]:(r2_hidden(X3,X1)<=>r2_hidden(X3,X2))=>X1=X2), file('latwal_2/latwal_2__t34_latwal_2', t2_tarski)).
fof(fraenkel_a_1_0_lattad_1, axiom, ![X1, X2]:((~(v2_struct_0(X2))&l3_lattices(X2))=>(r2_hidden(X1,a_1_0_lattad_1(X2))<=>?[X3, X4]:(((m1_subset_1(X3,u1_struct_0(X2))&m1_subset_1(X4,u1_struct_0(X2)))&X1=k4_tarski(X3,X4))&r1_lattices(X2,X3,X4)))), file('latwal_2/latwal_2__t34_latwal_2', fraenkel_a_1_0_lattad_1)).
fof(cc1_lattices, axiom, ![X1]:(l3_lattices(X1)=>((~(v2_struct_0(X1))&v10_lattices(X1))=>((((((~(v2_struct_0(X1))&v4_lattices(X1))&v5_lattices(X1))&v6_lattices(X1))&v7_lattices(X1))&v8_lattices(X1))&v9_lattices(X1)))), file('latwal_2/latwal_2__t34_latwal_2', cc1_lattices)).
fof(redefinition_k1_domain_1, axiom, ![X1, X2, X3, X4]:((((~(v1_xboole_0(X1))&~(v1_xboole_0(X2)))&m1_subset_1(X3,X1))&m1_subset_1(X4,X2))=>k1_domain_1(X1,X2,X3,X4)=k4_tarski(X3,X4)), file('latwal_2/latwal_2__t34_latwal_2', redefinition_k1_domain_1)).
fof(redefinition_r3_lattices, axiom, ![X1, X2, X3]:(((((((~(v2_struct_0(X1))&v6_lattices(X1))&v8_lattices(X1))&v9_lattices(X1))&l3_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>(r3_lattices(X1,X2,X3)<=>r1_lattices(X1,X2,X3))), file('latwal_2/latwal_2__t34_latwal_2', redefinition_r3_lattices)).
fof(cc4_latwal_1, axiom, ![X1]:(l3_lattices(X1)=>((((~(v2_struct_0(X1))&v5_lattices(X1))&v8_lattices(X1))&v10_lattices(X1))=>((((~(v2_struct_0(X1))&v5_lattices(X1))&v8_lattices(X1))&v10_lattices(X1))&v2_latwal_1(X1)))), file('latwal_2/latwal_2__t34_latwal_2', cc4_latwal_1)).
fof(cc1_latwal_2, axiom, ![X1]:(l3_lattices(X1)=>((((~(v2_struct_0(X1))&v7_lattices(X1))&v9_lattices(X1))&v10_lattices(X1))=>((((~(v2_struct_0(X1))&v7_lattices(X1))&v9_lattices(X1))&v10_lattices(X1))&v1_latwal_1(X1)))), file('latwal_2/latwal_2__t34_latwal_2', cc1_latwal_2)).
fof(d6_lattad_1, axiom, ![X1]:((~(v2_struct_0(X1))&l3_lattices(X1))=>k1_lattad_1(X1)=a_1_0_lattad_1(X1)), file('latwal_2/latwal_2__t34_latwal_2', d6_lattad_1)).
fof(cc2_latwal_2, axiom, ![X1]:(l3_lattices(X1)=>((~(v2_struct_0(X1))&v10_lattices(X1))=>(((~(v2_struct_0(X1))&v10_lattices(X1))&v7_robbins1(X1))&v5_sheffer1(X1)))), file('latwal_2/latwal_2__t34_latwal_2', cc2_latwal_2)).
fof(fc2_struct_0, axiom, ![X1]:((~(v2_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))), file('latwal_2/latwal_2__t34_latwal_2', fc2_struct_0)).
fof(redefinition_k3_latwal_2, axiom, ![X1]:((((((((~(v2_struct_0(X1))&v4_lattices(X1))&v6_lattices(X1))&v7_robbins1(X1))&v5_sheffer1(X1))&v1_latwal_1(X1))&v2_latwal_1(X1))&l3_lattices(X1))=>k3_latwal_2(X1)=k1_lattad_1(X1)), file('latwal_2/latwal_2__t34_latwal_2', redefinition_k3_latwal_2)).
fof(dt_k2_robbins3, axiom, ![X1]:(((~(v2_struct_0(X1))&v10_lattices(X1))&l3_lattices(X1))=>((((v1_partfun1(k2_robbins3(X1),u1_struct_0(X1))&v1_relat_2(k2_robbins3(X1)))&v4_relat_2(k2_robbins3(X1)))&v8_relat_2(k2_robbins3(X1)))&m1_subset_1(k2_robbins3(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))), file('latwal_2/latwal_2__t34_latwal_2', dt_k2_robbins3)).
fof(dt_l1_lattices, axiom, ![X1]:(l1_lattices(X1)=>l1_struct_0(X1)), file('latwal_2/latwal_2__t34_latwal_2', dt_l1_lattices)).
fof(redefinition_r2_relset_1, axiom, ![X1, X2, X3, X4]:((m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))&m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))=>(r2_relset_1(X1,X2,X3,X4)<=>X3=X4)), file('latwal_2/latwal_2__t34_latwal_2', redefinition_r2_relset_1)).
fof(dt_l3_lattices, axiom, ![X1]:(l3_lattices(X1)=>(l1_lattices(X1)&l2_lattices(X1))), file('latwal_2/latwal_2__t34_latwal_2', dt_l3_lattices)).
fof(c_0_19, plain, ![X1]:(((~v2_struct_0(X1)&v10_lattices(X1))&l3_lattices(X1))=>k2_robbins3(X1)=k8_filter_1(X1)), inference(fof_simplification,[status(thm)],[redefinition_k2_robbins3])).
fof(c_0_20, negated_conjecture, ~(![X1]:(((~v2_struct_0(X1)&v10_lattices(X1))&l3_lattices(X1))=>r2_relset_1(u1_struct_0(X1),u1_struct_0(X1),k2_robbins3(X1),k3_latwal_2(X1)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t34_latwal_2])])).
fof(c_0_21, plain, ![X1, X2]:(((~v2_struct_0(X2)&v10_lattices(X2))&l3_lattices(X2))=>(r2_hidden(X1,a_1_0_filter_1(X2))<=>?[X3, X4]:(((m1_subset_1(X3,u1_struct_0(X2))&m1_subset_1(X4,u1_struct_0(X2)))&X1=k1_domain_1(u1_struct_0(X2),u1_struct_0(X2),X3,X4))&r3_lattices(X2,X3,X4)))), inference(fof_simplification,[status(thm)],[fraenkel_a_1_0_filter_1])).
fof(c_0_22, plain, ![X1]:(((~v2_struct_0(X1)&v10_lattices(X1))&l3_lattices(X1))=>k8_filter_1(X1)=a_1_0_filter_1(X1)), inference(fof_simplification,[status(thm)],[d8_filter_1])).
fof(c_0_23, plain, ![X67]:(v2_struct_0(X67)|~v10_lattices(X67)|~l3_lattices(X67)|k2_robbins3(X67)=k8_filter_1(X67)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])).
fof(c_0_24, negated_conjecture, (((~v2_struct_0(esk1_0)&v10_lattices(esk1_0))&l3_lattices(esk1_0))&~r2_relset_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k2_robbins3(esk1_0),k3_latwal_2(esk1_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])).
fof(c_0_25, plain, ![X51, X52, X55, X56]:(((((m1_subset_1(esk2_2(X51,X52),u1_struct_0(X52))|~r2_hidden(X51,a_1_0_filter_1(X52))|(v2_struct_0(X52)|~v10_lattices(X52)|~l3_lattices(X52)))&(m1_subset_1(esk3_2(X51,X52),u1_struct_0(X52))|~r2_hidden(X51,a_1_0_filter_1(X52))|(v2_struct_0(X52)|~v10_lattices(X52)|~l3_lattices(X52))))&(X51=k1_domain_1(u1_struct_0(X52),u1_struct_0(X52),esk2_2(X51,X52),esk3_2(X51,X52))|~r2_hidden(X51,a_1_0_filter_1(X52))|(v2_struct_0(X52)|~v10_lattices(X52)|~l3_lattices(X52))))&(r3_lattices(X52,esk2_2(X51,X52),esk3_2(X51,X52))|~r2_hidden(X51,a_1_0_filter_1(X52))|(v2_struct_0(X52)|~v10_lattices(X52)|~l3_lattices(X52))))&(~m1_subset_1(X55,u1_struct_0(X52))|~m1_subset_1(X56,u1_struct_0(X52))|X51!=k1_domain_1(u1_struct_0(X52),u1_struct_0(X52),X55,X56)|~r3_lattices(X52,X55,X56)|r2_hidden(X51,a_1_0_filter_1(X52))|(v2_struct_0(X52)|~v10_lattices(X52)|~l3_lattices(X52)))), 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_21])])])])])).
fof(c_0_26, plain, ![X76, X77]:((~r2_hidden(esk6_2(X76,X77),X76)|~r2_hidden(esk6_2(X76,X77),X77)|X76=X77)&(r2_hidden(esk6_2(X76,X77),X76)|r2_hidden(esk6_2(X76,X77),X77)|X76=X77)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_tarski])])])])).
fof(c_0_27, plain, ![X46]:(v2_struct_0(X46)|~v10_lattices(X46)|~l3_lattices(X46)|k8_filter_1(X46)=a_1_0_filter_1(X46)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])).
cnf(c_0_28, plain, (v2_struct_0(X1)|k2_robbins3(X1)=k8_filter_1(X1)|~v10_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_29, negated_conjecture, (l3_lattices(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_30, negated_conjecture, (v10_lattices(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_31, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_24])).
fof(c_0_32, plain, ![X1, X2]:((~v2_struct_0(X2)&l3_lattices(X2))=>(r2_hidden(X1,a_1_0_lattad_1(X2))<=>?[X3, X4]:(((m1_subset_1(X3,u1_struct_0(X2))&m1_subset_1(X4,u1_struct_0(X2)))&X1=k4_tarski(X3,X4))&r1_lattices(X2,X3,X4)))), inference(fof_simplification,[status(thm)],[fraenkel_a_1_0_lattad_1])).
cnf(c_0_33, plain, (m1_subset_1(esk3_2(X1,X2),u1_struct_0(X2))|v2_struct_0(X2)|~r2_hidden(X1,a_1_0_filter_1(X2))|~v10_lattices(X2)|~l3_lattices(X2)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_34, plain, (r2_hidden(esk6_2(X1,X2),X1)|r2_hidden(esk6_2(X1,X2),X2)|X1=X2), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_35, plain, (v2_struct_0(X1)|k8_filter_1(X1)=a_1_0_filter_1(X1)|~v10_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_36, negated_conjecture, (k8_filter_1(esk1_0)=k2_robbins3(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30])]), c_0_31])).
fof(c_0_37, plain, ![X57, X58, X61, X62]:(((((m1_subset_1(esk4_2(X57,X58),u1_struct_0(X58))|~r2_hidden(X57,a_1_0_lattad_1(X58))|(v2_struct_0(X58)|~l3_lattices(X58)))&(m1_subset_1(esk5_2(X57,X58),u1_struct_0(X58))|~r2_hidden(X57,a_1_0_lattad_1(X58))|(v2_struct_0(X58)|~l3_lattices(X58))))&(X57=k4_tarski(esk4_2(X57,X58),esk5_2(X57,X58))|~r2_hidden(X57,a_1_0_lattad_1(X58))|(v2_struct_0(X58)|~l3_lattices(X58))))&(r1_lattices(X58,esk4_2(X57,X58),esk5_2(X57,X58))|~r2_hidden(X57,a_1_0_lattad_1(X58))|(v2_struct_0(X58)|~l3_lattices(X58))))&(~m1_subset_1(X61,u1_struct_0(X58))|~m1_subset_1(X62,u1_struct_0(X58))|X57!=k4_tarski(X61,X62)|~r1_lattices(X58,X61,X62)|r2_hidden(X57,a_1_0_lattad_1(X58))|(v2_struct_0(X58)|~l3_lattices(X58)))), 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_32])])])])])).
cnf(c_0_38, plain, (a_1_0_filter_1(X1)=X2|r2_hidden(esk6_2(a_1_0_filter_1(X1),X2),X2)|m1_subset_1(esk3_2(esk6_2(a_1_0_filter_1(X1),X2),X1),u1_struct_0(X1))|v2_struct_0(X1)|~l3_lattices(X1)|~v10_lattices(X1)), inference(spm,[status(thm)],[c_0_33, c_0_34])).
cnf(c_0_39, negated_conjecture, (a_1_0_filter_1(esk1_0)=k2_robbins3(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_29]), c_0_36]), c_0_30])]), c_0_31])).
fof(c_0_40, plain, ![X1]:(l3_lattices(X1)=>((~v2_struct_0(X1)&v10_lattices(X1))=>((((((~v2_struct_0(X1)&v4_lattices(X1))&v5_lattices(X1))&v6_lattices(X1))&v7_lattices(X1))&v8_lattices(X1))&v9_lattices(X1)))), inference(fof_simplification,[status(thm)],[cc1_lattices])).
cnf(c_0_41, plain, (m1_subset_1(esk5_2(X1,X2),u1_struct_0(X2))|v2_struct_0(X2)|~r2_hidden(X1,a_1_0_lattad_1(X2))|~l3_lattices(X2)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_42, plain, (m1_subset_1(esk2_2(X1,X2),u1_struct_0(X2))|v2_struct_0(X2)|~r2_hidden(X1,a_1_0_filter_1(X2))|~v10_lattices(X2)|~l3_lattices(X2)), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_43, plain, ![X1, X2, X3, X4]:((((~v1_xboole_0(X1)&~v1_xboole_0(X2))&m1_subset_1(X3,X1))&m1_subset_1(X4,X2))=>k1_domain_1(X1,X2,X3,X4)=k4_tarski(X3,X4)), inference(fof_simplification,[status(thm)],[redefinition_k1_domain_1])).
fof(c_0_44, plain, ![X1, X2, X3]:(((((((~v2_struct_0(X1)&v6_lattices(X1))&v8_lattices(X1))&v9_lattices(X1))&l3_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>(r3_lattices(X1,X2,X3)<=>r1_lattices(X1,X2,X3))), inference(fof_simplification,[status(thm)],[redefinition_r3_lattices])).
cnf(c_0_45, negated_conjecture, (k2_robbins3(esk1_0)=X1|r2_hidden(esk6_2(k2_robbins3(esk1_0),X1),X1)|m1_subset_1(esk3_2(esk6_2(k2_robbins3(esk1_0),X1),esk1_0),u1_struct_0(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_38, c_0_29]), c_0_39]), c_0_39]), c_0_39]), c_0_30])]), c_0_31])).
fof(c_0_46, plain, ![X41]:(((((((~v2_struct_0(X41)|(v2_struct_0(X41)|~v10_lattices(X41))|~l3_lattices(X41))&(v4_lattices(X41)|(v2_struct_0(X41)|~v10_lattices(X41))|~l3_lattices(X41)))&(v5_lattices(X41)|(v2_struct_0(X41)|~v10_lattices(X41))|~l3_lattices(X41)))&(v6_lattices(X41)|(v2_struct_0(X41)|~v10_lattices(X41))|~l3_lattices(X41)))&(v7_lattices(X41)|(v2_struct_0(X41)|~v10_lattices(X41))|~l3_lattices(X41)))&(v8_lattices(X41)|(v2_struct_0(X41)|~v10_lattices(X41))|~l3_lattices(X41)))&(v9_lattices(X41)|(v2_struct_0(X41)|~v10_lattices(X41))|~l3_lattices(X41))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])).
cnf(c_0_47, plain, (X1=a_1_0_lattad_1(X2)|r2_hidden(esk6_2(X1,a_1_0_lattad_1(X2)),X1)|m1_subset_1(esk5_2(esk6_2(X1,a_1_0_lattad_1(X2)),X2),u1_struct_0(X2))|v2_struct_0(X2)|~l3_lattices(X2)), inference(spm,[status(thm)],[c_0_41, c_0_34])).
cnf(c_0_48, plain, (a_1_0_filter_1(X1)=X2|r2_hidden(esk6_2(a_1_0_filter_1(X1),X2),X2)|m1_subset_1(esk2_2(esk6_2(a_1_0_filter_1(X1),X2),X1),u1_struct_0(X1))|v2_struct_0(X1)|~l3_lattices(X1)|~v10_lattices(X1)), inference(spm,[status(thm)],[c_0_42, c_0_34])).
fof(c_0_49, plain, ![X63, X64, X65, X66]:(v1_xboole_0(X63)|v1_xboole_0(X64)|~m1_subset_1(X65,X63)|~m1_subset_1(X66,X64)|k1_domain_1(X63,X64,X65,X66)=k4_tarski(X65,X66)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])).
cnf(c_0_50, plain, (m1_subset_1(esk4_2(X1,X2),u1_struct_0(X2))|v2_struct_0(X2)|~r2_hidden(X1,a_1_0_lattad_1(X2))|~l3_lattices(X2)), inference(split_conjunct,[status(thm)],[c_0_37])).
fof(c_0_51, plain, ![X73, X74, X75]:((~r3_lattices(X73,X74,X75)|r1_lattices(X73,X74,X75)|(v2_struct_0(X73)|~v6_lattices(X73)|~v8_lattices(X73)|~v9_lattices(X73)|~l3_lattices(X73)|~m1_subset_1(X74,u1_struct_0(X73))|~m1_subset_1(X75,u1_struct_0(X73))))&(~r1_lattices(X73,X74,X75)|r3_lattices(X73,X74,X75)|(v2_struct_0(X73)|~v6_lattices(X73)|~v8_lattices(X73)|~v9_lattices(X73)|~l3_lattices(X73)|~m1_subset_1(X74,u1_struct_0(X73))|~m1_subset_1(X75,u1_struct_0(X73))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])).
cnf(c_0_52, negated_conjecture, (a_1_0_lattad_1(X1)=k2_robbins3(esk1_0)|m1_subset_1(esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(X1)),esk1_0),u1_struct_0(esk1_0))|m1_subset_1(esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(X1)),X1),u1_struct_0(X1))|v2_struct_0(X1)|~l3_lattices(X1)), inference(spm,[status(thm)],[c_0_41, c_0_45])).
cnf(c_0_53, plain, (v9_lattices(X1)|v2_struct_0(X1)|~v10_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_54, plain, (v8_lattices(X1)|v2_struct_0(X1)|~v10_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_55, plain, (v6_lattices(X1)|v2_struct_0(X1)|~v10_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_56, plain, (r3_lattices(X1,esk2_2(X2,X1),esk3_2(X2,X1))|v2_struct_0(X1)|~r2_hidden(X2,a_1_0_filter_1(X1))|~v10_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_57, negated_conjecture, (X1=a_1_0_lattad_1(esk1_0)|r2_hidden(esk6_2(X1,a_1_0_lattad_1(esk1_0)),X1)|m1_subset_1(esk5_2(esk6_2(X1,a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_29]), c_0_31])).
cnf(c_0_58, negated_conjecture, (k2_robbins3(esk1_0)=X1|r2_hidden(esk6_2(k2_robbins3(esk1_0),X1),X1)|m1_subset_1(esk2_2(esk6_2(k2_robbins3(esk1_0),X1),esk1_0),u1_struct_0(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_48, c_0_29]), c_0_39]), c_0_39]), c_0_39]), c_0_30])]), c_0_31])).
cnf(c_0_59, plain, (v1_xboole_0(X1)|v1_xboole_0(X2)|k1_domain_1(X1,X2,X3,X4)=k4_tarski(X3,X4)|~m1_subset_1(X3,X1)|~m1_subset_1(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_60, negated_conjecture, (m1_subset_1(esk3_2(X1,esk1_0),u1_struct_0(esk1_0))|~r2_hidden(X1,k2_robbins3(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_39]), c_0_29]), c_0_30])]), c_0_31])).
cnf(c_0_61, plain, (X1=a_1_0_lattad_1(X2)|r2_hidden(esk6_2(X1,a_1_0_lattad_1(X2)),X1)|m1_subset_1(esk4_2(esk6_2(X1,a_1_0_lattad_1(X2)),X2),u1_struct_0(X2))|v2_struct_0(X2)|~l3_lattices(X2)), inference(spm,[status(thm)],[c_0_50, c_0_34])).
cnf(c_0_62, plain, (r2_hidden(X4,a_1_0_lattad_1(X2))|v2_struct_0(X2)|~m1_subset_1(X1,u1_struct_0(X2))|~m1_subset_1(X3,u1_struct_0(X2))|X4!=k4_tarski(X1,X3)|~r1_lattices(X2,X1,X3)|~l3_lattices(X2)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_63, plain, (r1_lattices(X1,X2,X3)|v2_struct_0(X1)|~r3_lattices(X1,X2,X3)|~v6_lattices(X1)|~v8_lattices(X1)|~v9_lattices(X1)|~l3_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_64, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|m1_subset_1(esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))|m1_subset_1(esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_29]), c_0_31])).
cnf(c_0_65, negated_conjecture, (v9_lattices(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_29]), c_0_30])]), c_0_31])).
cnf(c_0_66, negated_conjecture, (v8_lattices(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_29]), c_0_30])]), c_0_31])).
cnf(c_0_67, negated_conjecture, (v6_lattices(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_29]), c_0_30])]), c_0_31])).
cnf(c_0_68, negated_conjecture, (a_1_0_filter_1(X1)=a_1_0_lattad_1(esk1_0)|r3_lattices(X1,esk2_2(esk6_2(a_1_0_filter_1(X1),a_1_0_lattad_1(esk1_0)),X1),esk3_2(esk6_2(a_1_0_filter_1(X1),a_1_0_lattad_1(esk1_0)),X1))|m1_subset_1(esk5_2(esk6_2(a_1_0_filter_1(X1),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))|v2_struct_0(X1)|~l3_lattices(X1)|~v10_lattices(X1)), inference(spm,[status(thm)],[c_0_56, c_0_57])).
cnf(c_0_69, negated_conjecture, (a_1_0_lattad_1(X1)=k2_robbins3(esk1_0)|m1_subset_1(esk2_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(X1)),esk1_0),u1_struct_0(esk1_0))|m1_subset_1(esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(X1)),X1),u1_struct_0(X1))|v2_struct_0(X1)|~l3_lattices(X1)), inference(spm,[status(thm)],[c_0_41, c_0_58])).
cnf(c_0_70, plain, (a_1_0_filter_1(X1)=X2|r3_lattices(X1,esk2_2(esk6_2(a_1_0_filter_1(X1),X2),X1),esk3_2(esk6_2(a_1_0_filter_1(X1),X2),X1))|r2_hidden(esk6_2(a_1_0_filter_1(X1),X2),X2)|v2_struct_0(X1)|~l3_lattices(X1)|~v10_lattices(X1)), inference(spm,[status(thm)],[c_0_56, c_0_34])).
cnf(c_0_71, plain, (X1=k1_domain_1(u1_struct_0(X2),u1_struct_0(X2),esk2_2(X1,X2),esk3_2(X1,X2))|v2_struct_0(X2)|~r2_hidden(X1,a_1_0_filter_1(X2))|~v10_lattices(X2)|~l3_lattices(X2)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_72, negated_conjecture, (k1_domain_1(X1,u1_struct_0(esk1_0),X2,esk3_2(X3,esk1_0))=k4_tarski(X2,esk3_2(X3,esk1_0))|v1_xboole_0(u1_struct_0(esk1_0))|v1_xboole_0(X1)|~r2_hidden(X3,k2_robbins3(esk1_0))|~m1_subset_1(X2,X1)), inference(spm,[status(thm)],[c_0_59, c_0_60])).
cnf(c_0_73, negated_conjecture, (a_1_0_lattad_1(X1)=k2_robbins3(esk1_0)|m1_subset_1(esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(X1)),esk1_0),u1_struct_0(esk1_0))|m1_subset_1(esk4_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(X1)),X1),u1_struct_0(X1))|v2_struct_0(X1)|~l3_lattices(X1)), inference(spm,[status(thm)],[c_0_50, c_0_45])).
cnf(c_0_74, negated_conjecture, (X1=a_1_0_lattad_1(esk1_0)|r2_hidden(esk6_2(X1,a_1_0_lattad_1(esk1_0)),X1)|m1_subset_1(esk4_2(esk6_2(X1,a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_29]), c_0_31])).
cnf(c_0_75, plain, (r2_hidden(k4_tarski(X1,X2),a_1_0_lattad_1(X3))|v2_struct_0(X3)|~r1_lattices(X3,X1,X2)|~m1_subset_1(X2,u1_struct_0(X3))|~m1_subset_1(X1,u1_struct_0(X3))|~l3_lattices(X3)), inference(er,[status(thm)],[c_0_62])).
cnf(c_0_76, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|r1_lattices(esk1_0,X1,esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))|m1_subset_1(esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))|~r3_lattices(esk1_0,X1,esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))|~m1_subset_1(X1,u1_struct_0(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_63, c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_29])]), c_0_31])).
cnf(c_0_77, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|r3_lattices(esk1_0,esk2_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))|m1_subset_1(esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_29]), c_0_39]), c_0_39]), c_0_39]), c_0_39]), c_0_30])]), c_0_31])).
cnf(c_0_78, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|m1_subset_1(esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))|m1_subset_1(esk2_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_29]), c_0_31])).
cnf(c_0_79, negated_conjecture, (k2_robbins3(esk1_0)=X1|r1_lattices(esk1_0,X2,esk3_2(esk6_2(k2_robbins3(esk1_0),X1),esk1_0))|r2_hidden(esk6_2(k2_robbins3(esk1_0),X1),X1)|~r3_lattices(esk1_0,X2,esk3_2(esk6_2(k2_robbins3(esk1_0),X1),esk1_0))|~m1_subset_1(X2,u1_struct_0(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_63, c_0_45]), c_0_65]), c_0_66]), c_0_67]), c_0_29])]), c_0_31])).
cnf(c_0_80, negated_conjecture, (k2_robbins3(esk1_0)=X1|r3_lattices(esk1_0,esk2_2(esk6_2(k2_robbins3(esk1_0),X1),esk1_0),esk3_2(esk6_2(k2_robbins3(esk1_0),X1),esk1_0))|r2_hidden(esk6_2(k2_robbins3(esk1_0),X1),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_70, c_0_29]), c_0_39]), c_0_39]), c_0_39]), c_0_39]), c_0_30])]), c_0_31])).
cnf(c_0_81, plain, (k1_domain_1(u1_struct_0(X1),u1_struct_0(X1),esk2_2(esk6_2(a_1_0_filter_1(X1),X2),X1),esk3_2(esk6_2(a_1_0_filter_1(X1),X2),X1))=esk6_2(a_1_0_filter_1(X1),X2)|a_1_0_filter_1(X1)=X2|r2_hidden(esk6_2(a_1_0_filter_1(X1),X2),X2)|v2_struct_0(X1)|~l3_lattices(X1)|~v10_lattices(X1)), inference(spm,[status(thm)],[c_0_71, c_0_34])).
cnf(c_0_82, negated_conjecture, (k1_domain_1(X1,u1_struct_0(esk1_0),X2,esk3_2(esk6_2(k2_robbins3(esk1_0),X3),esk1_0))=k4_tarski(X2,esk3_2(esk6_2(k2_robbins3(esk1_0),X3),esk1_0))|k2_robbins3(esk1_0)=X3|r2_hidden(esk6_2(k2_robbins3(esk1_0),X3),X3)|v1_xboole_0(u1_struct_0(esk1_0))|v1_xboole_0(X1)|~m1_subset_1(X2,X1)), inference(spm,[status(thm)],[c_0_72, c_0_34])).
cnf(c_0_83, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|m1_subset_1(esk4_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))|m1_subset_1(esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_29]), c_0_31])).
cnf(c_0_84, negated_conjecture, (a_1_0_filter_1(X1)=a_1_0_lattad_1(esk1_0)|r3_lattices(X1,esk2_2(esk6_2(a_1_0_filter_1(X1),a_1_0_lattad_1(esk1_0)),X1),esk3_2(esk6_2(a_1_0_filter_1(X1),a_1_0_lattad_1(esk1_0)),X1))|m1_subset_1(esk4_2(esk6_2(a_1_0_filter_1(X1),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))|v2_struct_0(X1)|~l3_lattices(X1)|~v10_lattices(X1)), inference(spm,[status(thm)],[c_0_56, c_0_74])).
cnf(c_0_85, negated_conjecture, (a_1_0_lattad_1(X1)=k2_robbins3(esk1_0)|m1_subset_1(esk2_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(X1)),esk1_0),u1_struct_0(esk1_0))|m1_subset_1(esk4_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(X1)),X1),u1_struct_0(X1))|v2_struct_0(X1)|~l3_lattices(X1)), inference(spm,[status(thm)],[c_0_50, c_0_58])).
cnf(c_0_86, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|r2_hidden(k4_tarski(X1,esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0)),a_1_0_lattad_1(esk1_0))|m1_subset_1(esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))|~r1_lattices(esk1_0,X1,esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_64]), c_0_29])]), c_0_31])).
cnf(c_0_87, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|r1_lattices(esk1_0,esk2_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))|m1_subset_1(esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_77]), c_0_78])).
cnf(c_0_88, negated_conjecture, (k1_domain_1(X1,u1_struct_0(esk1_0),X2,esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))=k4_tarski(X2,esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))|a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|v1_xboole_0(X1)|m1_subset_1(esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))|~m1_subset_1(X2,X1)), inference(spm,[status(thm)],[c_0_59, c_0_64])).
cnf(c_0_89, negated_conjecture, (k2_robbins3(esk1_0)=X1|r2_hidden(k4_tarski(X2,esk3_2(esk6_2(k2_robbins3(esk1_0),X1),esk1_0)),a_1_0_lattad_1(esk1_0))|r2_hidden(esk6_2(k2_robbins3(esk1_0),X1),X1)|~r1_lattices(esk1_0,X2,esk3_2(esk6_2(k2_robbins3(esk1_0),X1),esk1_0))|~m1_subset_1(X2,u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_45]), c_0_29])]), c_0_31])).
cnf(c_0_90, negated_conjecture, (k2_robbins3(esk1_0)=X1|r1_lattices(esk1_0,esk2_2(esk6_2(k2_robbins3(esk1_0),X1),esk1_0),esk3_2(esk6_2(k2_robbins3(esk1_0),X1),esk1_0))|r2_hidden(esk6_2(k2_robbins3(esk1_0),X1),X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_80]), c_0_58])).
cnf(c_0_91, negated_conjecture, (k1_domain_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_2(esk6_2(k2_robbins3(esk1_0),X1),esk1_0),esk3_2(esk6_2(k2_robbins3(esk1_0),X1),esk1_0))=esk6_2(k2_robbins3(esk1_0),X1)|k2_robbins3(esk1_0)=X1|r2_hidden(esk6_2(k2_robbins3(esk1_0),X1),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(spm,[status(thm)],[c_0_81, c_0_29]), c_0_39]), c_0_39]), c_0_39]), c_0_39]), c_0_39]), c_0_30])]), c_0_31])).
cnf(c_0_92, negated_conjecture, (k1_domain_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_2(esk6_2(k2_robbins3(esk1_0),X1),esk1_0),esk3_2(esk6_2(k2_robbins3(esk1_0),X2),esk1_0))=k4_tarski(esk2_2(esk6_2(k2_robbins3(esk1_0),X1),esk1_0),esk3_2(esk6_2(k2_robbins3(esk1_0),X2),esk1_0))|k2_robbins3(esk1_0)=X1|k2_robbins3(esk1_0)=X2|r2_hidden(esk6_2(k2_robbins3(esk1_0),X1),X1)|r2_hidden(esk6_2(k2_robbins3(esk1_0),X2),X2)|v1_xboole_0(u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_82, c_0_58])).
cnf(c_0_93, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|r1_lattices(esk1_0,X1,esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))|m1_subset_1(esk4_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))|~r3_lattices(esk1_0,X1,esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))|~m1_subset_1(X1,u1_struct_0(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_63, c_0_83]), c_0_65]), c_0_66]), c_0_67]), c_0_29])]), c_0_31])).
cnf(c_0_94, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|r3_lattices(esk1_0,esk2_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))|m1_subset_1(esk4_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_29]), c_0_39]), c_0_39]), c_0_39]), c_0_39]), c_0_30])]), c_0_31])).
cnf(c_0_95, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|m1_subset_1(esk4_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))|m1_subset_1(esk2_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_29]), c_0_31])).
cnf(c_0_96, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|r2_hidden(k4_tarski(esk2_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0)),a_1_0_lattad_1(esk1_0))|m1_subset_1(esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_87]), c_0_78])).
cnf(c_0_97, negated_conjecture, (k1_domain_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_2(X1,esk1_0),esk3_2(X1,esk1_0))=X1|~r2_hidden(X1,k2_robbins3(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_39]), c_0_29]), c_0_30])]), c_0_31])).
cnf(c_0_98, negated_conjecture, (k1_domain_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))=k4_tarski(esk2_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))|a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|m1_subset_1(esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_88, c_0_78])).
cnf(c_0_99, negated_conjecture, (k2_robbins3(esk1_0)=X1|r2_hidden(k4_tarski(esk2_2(esk6_2(k2_robbins3(esk1_0),X1),esk1_0),esk3_2(esk6_2(k2_robbins3(esk1_0),X1),esk1_0)),a_1_0_lattad_1(esk1_0))|r2_hidden(esk6_2(k2_robbins3(esk1_0),X1),X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_90]), c_0_58])).
cnf(c_0_100, negated_conjecture, (k4_tarski(esk2_2(esk6_2(k2_robbins3(esk1_0),X1),esk1_0),esk3_2(esk6_2(k2_robbins3(esk1_0),X1),esk1_0))=esk6_2(k2_robbins3(esk1_0),X1)|k2_robbins3(esk1_0)=X1|r2_hidden(esk6_2(k2_robbins3(esk1_0),X1),X1)|v1_xboole_0(u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_91, c_0_92])).
cnf(c_0_101, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|r2_hidden(k4_tarski(X1,esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0)),a_1_0_lattad_1(esk1_0))|m1_subset_1(esk4_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))|~r1_lattices(esk1_0,X1,esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_83]), c_0_29])]), c_0_31])).
cnf(c_0_102, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|r1_lattices(esk1_0,esk2_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))|m1_subset_1(esk4_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_95])).
cnf(c_0_103, negated_conjecture, (k1_domain_1(X1,u1_struct_0(esk1_0),X2,esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))=k4_tarski(X2,esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))|a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|v1_xboole_0(X1)|m1_subset_1(esk4_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))|~m1_subset_1(X2,X1)), inference(spm,[status(thm)],[c_0_59, c_0_83])).
cnf(c_0_104, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|m1_subset_1(esk5_2(k4_tarski(esk2_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0)),esk1_0),u1_struct_0(esk1_0))|m1_subset_1(esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_96]), c_0_29])]), c_0_31])).
cnf(c_0_105, negated_conjecture, (k4_tarski(esk2_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))=esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0))|a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|m1_subset_1(esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_98]), c_0_57])).
cnf(c_0_106, negated_conjecture, (k2_robbins3(esk1_0)=X1|r2_hidden(esk6_2(k2_robbins3(esk1_0),X1),a_1_0_lattad_1(esk1_0))|r2_hidden(esk6_2(k2_robbins3(esk1_0),X1),X1)|v1_xboole_0(u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_99, c_0_100])).
cnf(c_0_107, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|r2_hidden(k4_tarski(esk2_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0)),a_1_0_lattad_1(esk1_0))|m1_subset_1(esk4_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_102]), c_0_95])).
cnf(c_0_108, negated_conjecture, (k1_domain_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk2_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))=k4_tarski(esk2_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))|a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|m1_subset_1(esk4_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_103, c_0_95])).
cnf(c_0_109, plain, (r2_hidden(X4,a_1_0_filter_1(X2))|v2_struct_0(X2)|~m1_subset_1(X1,u1_struct_0(X2))|~m1_subset_1(X3,u1_struct_0(X2))|X4!=k1_domain_1(u1_struct_0(X2),u1_struct_0(X2),X1,X3)|~r3_lattices(X2,X1,X3)|~v10_lattices(X2)|~l3_lattices(X2)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_110, plain, (r3_lattices(X1,X2,X3)|v2_struct_0(X1)|~r1_lattices(X1,X2,X3)|~v6_lattices(X1)|~v8_lattices(X1)|~v9_lattices(X1)|~l3_lattices(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_111, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|m1_subset_1(esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_104, c_0_105])).
cnf(c_0_112, plain, (r1_lattices(X1,esk4_2(X2,X1),esk5_2(X2,X1))|v2_struct_0(X1)|~r2_hidden(X2,a_1_0_lattad_1(X1))|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_113, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|r2_hidden(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),a_1_0_lattad_1(esk1_0))|v1_xboole_0(u1_struct_0(esk1_0))), inference(ef,[status(thm)],[c_0_106])).
cnf(c_0_114, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|m1_subset_1(esk4_2(k4_tarski(esk2_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0)),esk1_0),u1_struct_0(esk1_0))|m1_subset_1(esk4_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_107]), c_0_29])]), c_0_31])).
cnf(c_0_115, negated_conjecture, (k4_tarski(esk2_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),esk3_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))=esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0))|a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|m1_subset_1(esk4_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_108]), c_0_74])).
cnf(c_0_116, plain, (r2_hidden(k1_domain_1(u1_struct_0(X1),u1_struct_0(X1),X2,X3),a_1_0_filter_1(X1))|v2_struct_0(X1)|~r3_lattices(X1,X2,X3)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))|~l3_lattices(X1)|~v10_lattices(X1)), inference(er,[status(thm)],[c_0_109])).
cnf(c_0_117, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|r3_lattices(esk1_0,X1,esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))|v1_xboole_0(u1_struct_0(esk1_0))|~r1_lattices(esk1_0,X1,esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))|~m1_subset_1(X1,u1_struct_0(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_110, c_0_111]), c_0_65]), c_0_66]), c_0_67]), c_0_29])]), c_0_31])).
cnf(c_0_118, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|r1_lattices(esk1_0,esk4_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))|v1_xboole_0(u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_113]), c_0_29])]), c_0_31])).
cnf(c_0_119, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|m1_subset_1(esk4_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_114, c_0_115])).
fof(c_0_120, plain, ![X1]:(l3_lattices(X1)=>((((~v2_struct_0(X1)&v5_lattices(X1))&v8_lattices(X1))&v10_lattices(X1))=>((((~v2_struct_0(X1)&v5_lattices(X1))&v8_lattices(X1))&v10_lattices(X1))&v2_latwal_1(X1)))), inference(fof_simplification,[status(thm)],[cc4_latwal_1])).
fof(c_0_121, plain, ![X1]:(l3_lattices(X1)=>((((~v2_struct_0(X1)&v7_lattices(X1))&v9_lattices(X1))&v10_lattices(X1))=>((((~v2_struct_0(X1)&v7_lattices(X1))&v9_lattices(X1))&v10_lattices(X1))&v1_latwal_1(X1)))), inference(fof_simplification,[status(thm)],[cc1_latwal_2])).
cnf(c_0_122, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|r2_hidden(k1_domain_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),X1,esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0)),k2_robbins3(esk1_0))|v1_xboole_0(u1_struct_0(esk1_0))|~r3_lattices(esk1_0,X1,esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))|~m1_subset_1(X1,u1_struct_0(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_116, c_0_111]), c_0_39]), c_0_29]), c_0_30])]), c_0_31])).
cnf(c_0_123, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|r3_lattices(esk1_0,esk4_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))|v1_xboole_0(u1_struct_0(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117, c_0_118]), c_0_119])).
cnf(c_0_124, negated_conjecture, (k1_domain_1(X1,u1_struct_0(esk1_0),X2,esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))=k4_tarski(X2,esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))|a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|v1_xboole_0(X1)|~m1_subset_1(X2,X1)), inference(spm,[status(thm)],[c_0_59, c_0_111])).
cnf(c_0_125, plain, (X1=k4_tarski(esk4_2(X1,X2),esk5_2(X1,X2))|v2_struct_0(X2)|~r2_hidden(X1,a_1_0_lattad_1(X2))|~l3_lattices(X2)), inference(split_conjunct,[status(thm)],[c_0_37])).
fof(c_0_126, plain, ![X44]:(((((~v2_struct_0(X44)|(v2_struct_0(X44)|~v5_lattices(X44)|~v8_lattices(X44)|~v10_lattices(X44))|~l3_lattices(X44))&(v5_lattices(X44)|(v2_struct_0(X44)|~v5_lattices(X44)|~v8_lattices(X44)|~v10_lattices(X44))|~l3_lattices(X44)))&(v8_lattices(X44)|(v2_struct_0(X44)|~v5_lattices(X44)|~v8_lattices(X44)|~v10_lattices(X44))|~l3_lattices(X44)))&(v10_lattices(X44)|(v2_struct_0(X44)|~v5_lattices(X44)|~v8_lattices(X44)|~v10_lattices(X44))|~l3_lattices(X44)))&(v2_latwal_1(X44)|(v2_struct_0(X44)|~v5_lattices(X44)|~v8_lattices(X44)|~v10_lattices(X44))|~l3_lattices(X44))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_120])])])).
fof(c_0_127, plain, ![X1]:((~v2_struct_0(X1)&l3_lattices(X1))=>k1_lattad_1(X1)=a_1_0_lattad_1(X1)), inference(fof_simplification,[status(thm)],[d6_lattad_1])).
fof(c_0_128, plain, ![X1]:(l3_lattices(X1)=>((~v2_struct_0(X1)&v10_lattices(X1))=>(((~v2_struct_0(X1)&v10_lattices(X1))&v7_robbins1(X1))&v5_sheffer1(X1)))), inference(fof_simplification,[status(thm)],[cc2_latwal_2])).
fof(c_0_129, plain, ![X42]:(((((~v2_struct_0(X42)|(v2_struct_0(X42)|~v7_lattices(X42)|~v9_lattices(X42)|~v10_lattices(X42))|~l3_lattices(X42))&(v7_lattices(X42)|(v2_struct_0(X42)|~v7_lattices(X42)|~v9_lattices(X42)|~v10_lattices(X42))|~l3_lattices(X42)))&(v9_lattices(X42)|(v2_struct_0(X42)|~v7_lattices(X42)|~v9_lattices(X42)|~v10_lattices(X42))|~l3_lattices(X42)))&(v10_lattices(X42)|(v2_struct_0(X42)|~v7_lattices(X42)|~v9_lattices(X42)|~v10_lattices(X42))|~l3_lattices(X42)))&(v1_latwal_1(X42)|(v2_struct_0(X42)|~v7_lattices(X42)|~v9_lattices(X42)|~v10_lattices(X42))|~l3_lattices(X42))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_121])])])).
fof(c_0_130, plain, ![X1]:((~v2_struct_0(X1)&l1_struct_0(X1))=>~v1_xboole_0(u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[fc2_struct_0])).
cnf(c_0_131, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|r2_hidden(k1_domain_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk4_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0)),k2_robbins3(esk1_0))|v1_xboole_0(u1_struct_0(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122, c_0_123]), c_0_119])).
cnf(c_0_132, negated_conjecture, (k1_domain_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),esk4_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))=k4_tarski(esk4_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0))|a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_124, c_0_119])).
cnf(c_0_133, plain, (k4_tarski(esk4_2(esk6_2(X1,a_1_0_lattad_1(X2)),X2),esk5_2(esk6_2(X1,a_1_0_lattad_1(X2)),X2))=esk6_2(X1,a_1_0_lattad_1(X2))|X1=a_1_0_lattad_1(X2)|r2_hidden(esk6_2(X1,a_1_0_lattad_1(X2)),X1)|v2_struct_0(X2)|~l3_lattices(X2)), inference(spm,[status(thm)],[c_0_125, c_0_34])).
cnf(c_0_134, plain, (X1=X2|~r2_hidden(esk6_2(X1,X2),X1)|~r2_hidden(esk6_2(X1,X2),X2)), inference(split_conjunct,[status(thm)],[c_0_26])).
fof(c_0_135, plain, ![X1]:((((((((~v2_struct_0(X1)&v4_lattices(X1))&v6_lattices(X1))&v7_robbins1(X1))&v5_sheffer1(X1))&v1_latwal_1(X1))&v2_latwal_1(X1))&l3_lattices(X1))=>k3_latwal_2(X1)=k1_lattad_1(X1)), inference(fof_simplification,[status(thm)],[redefinition_k3_latwal_2])).
cnf(c_0_136, plain, (v2_latwal_1(X1)|v2_struct_0(X1)|~v5_lattices(X1)|~v8_lattices(X1)|~v10_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_126])).
cnf(c_0_137, plain, (v5_lattices(X1)|v2_struct_0(X1)|~v10_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
fof(c_0_138, plain, ![X45]:(v2_struct_0(X45)|~l3_lattices(X45)|k1_lattad_1(X45)=a_1_0_lattad_1(X45)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_127])])).
fof(c_0_139, plain, ![X43]:((((~v2_struct_0(X43)|(v2_struct_0(X43)|~v10_lattices(X43))|~l3_lattices(X43))&(v10_lattices(X43)|(v2_struct_0(X43)|~v10_lattices(X43))|~l3_lattices(X43)))&(v7_robbins1(X43)|(v2_struct_0(X43)|~v10_lattices(X43))|~l3_lattices(X43)))&(v5_sheffer1(X43)|(v2_struct_0(X43)|~v10_lattices(X43))|~l3_lattices(X43))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_128])])])).
cnf(c_0_140, plain, (v1_latwal_1(X1)|v2_struct_0(X1)|~v7_lattices(X1)|~v9_lattices(X1)|~v10_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_129])).
cnf(c_0_141, plain, (v7_lattices(X1)|v2_struct_0(X1)|~v10_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
fof(c_0_142, plain, ![X50]:(v2_struct_0(X50)|~l1_struct_0(X50)|~v1_xboole_0(u1_struct_0(X50))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_130])])).
cnf(c_0_143, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|r2_hidden(k4_tarski(esk4_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0),esk5_2(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),esk1_0)),k2_robbins3(esk1_0))|v1_xboole_0(u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_131, c_0_132])).
cnf(c_0_144, negated_conjecture, (k4_tarski(esk4_2(esk6_2(X1,a_1_0_lattad_1(esk1_0)),esk1_0),esk5_2(esk6_2(X1,a_1_0_lattad_1(esk1_0)),esk1_0))=esk6_2(X1,a_1_0_lattad_1(esk1_0))|X1=a_1_0_lattad_1(esk1_0)|r2_hidden(esk6_2(X1,a_1_0_lattad_1(esk1_0)),X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_133, c_0_29]), c_0_31])).
cnf(c_0_145, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))|~r2_hidden(esk6_2(k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0)),k2_robbins3(esk1_0))), inference(spm,[status(thm)],[c_0_134, c_0_113])).
fof(c_0_146, plain, ![X1]:(((~v2_struct_0(X1)&v10_lattices(X1))&l3_lattices(X1))=>((((v1_partfun1(k2_robbins3(X1),u1_struct_0(X1))&v1_relat_2(k2_robbins3(X1)))&v4_relat_2(k2_robbins3(X1)))&v8_relat_2(k2_robbins3(X1)))&m1_subset_1(k2_robbins3(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))))), inference(fof_simplification,[status(thm)],[dt_k2_robbins3])).
fof(c_0_147, plain, ![X68]:(v2_struct_0(X68)|~v4_lattices(X68)|~v6_lattices(X68)|~v7_robbins1(X68)|~v5_sheffer1(X68)|~v1_latwal_1(X68)|~v2_latwal_1(X68)|~l3_lattices(X68)|k3_latwal_2(X68)=k1_lattad_1(X68)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_135])])).
cnf(c_0_148, plain, (v2_latwal_1(X1)|v2_struct_0(X1)|~l3_lattices(X1)|~v10_lattices(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_136, c_0_137]), c_0_54])).
cnf(c_0_149, plain, (v2_struct_0(X1)|k1_lattad_1(X1)=a_1_0_lattad_1(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_138])).
cnf(c_0_150, plain, (v5_sheffer1(X1)|v2_struct_0(X1)|~v10_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_139])).
cnf(c_0_151, plain, (v7_robbins1(X1)|v2_struct_0(X1)|~v10_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_139])).
cnf(c_0_152, plain, (v1_latwal_1(X1)|v2_struct_0(X1)|~l3_lattices(X1)|~v10_lattices(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_140, c_0_141]), c_0_53])).
cnf(c_0_153, plain, (v4_lattices(X1)|v2_struct_0(X1)|~v10_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_154, plain, (v2_struct_0(X1)|~l1_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_142])).
cnf(c_0_155, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|v1_xboole_0(u1_struct_0(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143, c_0_144]), c_0_145])).
fof(c_0_156, plain, ![X48]:(~l1_lattices(X48)|l1_struct_0(X48)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])])).
fof(c_0_157, plain, ![X69, X70, X71, X72]:((~r2_relset_1(X69,X70,X71,X72)|X71=X72|(~m1_subset_1(X71,k1_zfmisc_1(k2_zfmisc_1(X69,X70)))|~m1_subset_1(X72,k1_zfmisc_1(k2_zfmisc_1(X69,X70)))))&(X71!=X72|r2_relset_1(X69,X70,X71,X72)|(~m1_subset_1(X71,k1_zfmisc_1(k2_zfmisc_1(X69,X70)))|~m1_subset_1(X72,k1_zfmisc_1(k2_zfmisc_1(X69,X70)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_relset_1])])])).
fof(c_0_158, plain, ![X47]:(((((v1_partfun1(k2_robbins3(X47),u1_struct_0(X47))|(v2_struct_0(X47)|~v10_lattices(X47)|~l3_lattices(X47)))&(v1_relat_2(k2_robbins3(X47))|(v2_struct_0(X47)|~v10_lattices(X47)|~l3_lattices(X47))))&(v4_relat_2(k2_robbins3(X47))|(v2_struct_0(X47)|~v10_lattices(X47)|~l3_lattices(X47))))&(v8_relat_2(k2_robbins3(X47))|(v2_struct_0(X47)|~v10_lattices(X47)|~l3_lattices(X47))))&(m1_subset_1(k2_robbins3(X47),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X47),u1_struct_0(X47))))|(v2_struct_0(X47)|~v10_lattices(X47)|~l3_lattices(X47)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_146])])])).
cnf(c_0_159, plain, (v2_struct_0(X1)|k3_latwal_2(X1)=k1_lattad_1(X1)|~v4_lattices(X1)|~v6_lattices(X1)|~v7_robbins1(X1)|~v5_sheffer1(X1)|~v1_latwal_1(X1)|~v2_latwal_1(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_147])).
cnf(c_0_160, negated_conjecture, (v2_latwal_1(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148, c_0_29]), c_0_30])]), c_0_31])).
cnf(c_0_161, negated_conjecture, (k1_lattad_1(esk1_0)=a_1_0_lattad_1(esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149, c_0_29]), c_0_31])).
cnf(c_0_162, negated_conjecture, (v5_sheffer1(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150, c_0_29]), c_0_30])]), c_0_31])).
cnf(c_0_163, negated_conjecture, (v7_robbins1(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151, c_0_29]), c_0_30])]), c_0_31])).
cnf(c_0_164, negated_conjecture, (v1_latwal_1(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152, c_0_29]), c_0_30])]), c_0_31])).
cnf(c_0_165, negated_conjecture, (v4_lattices(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153, c_0_29]), c_0_30])]), c_0_31])).
cnf(c_0_166, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|~l1_struct_0(esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_154, c_0_155]), c_0_31])).
cnf(c_0_167, plain, (l1_struct_0(X1)|~l1_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_156])).
fof(c_0_168, plain, ![X49]:((l1_lattices(X49)|~l3_lattices(X49))&(l2_lattices(X49)|~l3_lattices(X49))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])).
cnf(c_0_169, plain, (r2_relset_1(X3,X4,X1,X2)|X1!=X2|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X4)))|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X3,X4)))), inference(split_conjunct,[status(thm)],[c_0_157])).
cnf(c_0_170, plain, (m1_subset_1(k2_robbins3(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1))))|v2_struct_0(X1)|~v10_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_158])).
cnf(c_0_171, negated_conjecture, (~r2_relset_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k2_robbins3(esk1_0),k3_latwal_2(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_172, negated_conjecture, (k3_latwal_2(esk1_0)=a_1_0_lattad_1(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159, c_0_160]), c_0_161]), c_0_162]), c_0_163]), c_0_164]), c_0_67]), c_0_165]), c_0_29])]), c_0_31])).
cnf(c_0_173, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)|~l1_lattices(esk1_0)), inference(spm,[status(thm)],[c_0_166, c_0_167])).
cnf(c_0_174, plain, (l1_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_168])).
cnf(c_0_175, plain, (r2_relset_1(X1,X2,X3,X3)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))), inference(er,[status(thm)],[c_0_169])).
cnf(c_0_176, negated_conjecture, (m1_subset_1(k2_robbins3(esk1_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170, c_0_29]), c_0_30])]), c_0_31])).
cnf(c_0_177, negated_conjecture, (~r2_relset_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k2_robbins3(esk1_0),a_1_0_lattad_1(esk1_0))), inference(rw,[status(thm)],[c_0_171, c_0_172])).
cnf(c_0_178, negated_conjecture, (a_1_0_lattad_1(esk1_0)=k2_robbins3(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173, c_0_174]), c_0_29])])).
cnf(c_0_179, negated_conjecture, (r2_relset_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k2_robbins3(esk1_0),k2_robbins3(esk1_0))), inference(spm,[status(thm)],[c_0_175, c_0_176])).
cnf(c_0_180, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_177, c_0_178]), c_0_179])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 181
# Proof object clause steps            : 128
# Proof object formula steps           : 53
# Proof object conjectures             : 85
# Proof object clause conjectures      : 82
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 38
# Proof object initial formulas used   : 19
# Proof object generating inferences   : 83
# Proof object simplifying inferences  : 172
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 19
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 55
# Removed in clause preprocessing      : 11
# Initial clauses in saturation        : 44
# Processed clauses                    : 1406
# ...of these trivial                  : 0
# ...subsumed                          : 503
# ...remaining for further processing  : 903
# Other redundant clauses eliminated   : 3
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 146
# Backward-rewritten                   : 280
# Generated clauses                    : 6610
# ...of the previous two non-trivial   : 6692
# Contextual simplify-reflections      : 90
# Paramodulations                      : 6601
# Factorizations                       : 6
# NegExts                              : 0
# Equation resolutions                 : 3
# Propositional unsat checks           : 0
#    Propositional check models        : 0
#    Propositional check unsatisfiable : 0
#    Propositional clauses             : 0
#    Propositional clauses after purity: 0
#    Propositional unsat core size     : 0
#    Propositional preprocessing time  : 0.000
#    Propositional encoding time       : 0.000
#    Propositional solver time         : 0.000
#    Success case prop preproc time    : 0.000
#    Success case prop encoding time   : 0.000
#    Success case prop solver time     : 0.000
# Current number of processed clauses  : 430
#    Positive orientable unit clauses  : 21
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 408
# Current number of unprocessed clauses: 5156
# ...number of literals in the above   : 33475
# Current number of archived formulas  : 0
# Current number of archived clauses   : 470
# Clause-clause subsumption calls (NU) : 126558
# Rec. Clause-clause subsumption calls : 2313
# Non-unit clause-clause subsumptions  : 739
# Unit Clause-clause subsumption calls : 326
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 3
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 449493

# -------------------------------------------------
# User time                : 0.265 s
# System time              : 0.008 s
# Total time               : 0.272 s
# Maximum resident set size: 3452 pages
