# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
# and selection function SelectCQIPrecWNTNp.
#
# Preprocessing time       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(l39_latwal_2, conjecture, ![X1]:(m1_subset_1(X1,u1_struct_0(k5_latwal_1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k5_latwal_1))=>((X1=np__2&X2=np__1)=>k4_lattices(k5_latwal_1,X1,X2)=np__1))), file('latwal_2/latwal_2__l39_latwal_2', l39_latwal_2)).
fof(redefinition_k4_lattices, axiom, ![X1, X2, X3]:(((((~(v2_struct_0(X1))&v6_lattices(X1))&l1_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k4_lattices(X1,X2,X3)=k2_lattices(X1,X2,X3)), file('latwal_2/latwal_2__l39_latwal_2', redefinition_k4_lattices)).
fof(fc2_latwal_1, axiom, ((((((~(v2_struct_0(k5_latwal_1))&v4_lattices(k5_latwal_1))&v6_lattices(k5_latwal_1))&v8_lattices(k5_latwal_1))&v9_lattices(k5_latwal_1))&v7_robbins1(k5_latwal_1))&v5_sheffer1(k5_latwal_1)), file('latwal_2/latwal_2__l39_latwal_2', fc2_latwal_1)).
fof(dt_k5_latwal_1, axiom, (~(v2_struct_0(k5_latwal_1))&l3_lattices(k5_latwal_1)), file('latwal_2/latwal_2__l39_latwal_2', dt_k5_latwal_1)).
fof(d2_lattices, axiom, ![X1]:((~(v2_struct_0(X1))&l1_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k2_lattices(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u1_lattices(X1),X2,X3)))), file('latwal_2/latwal_2__l39_latwal_2', d2_lattices)).
fof(dt_l3_lattices, axiom, ![X1]:(l3_lattices(X1)=>(l1_lattices(X1)&l2_lattices(X1))), file('latwal_2/latwal_2__l39_latwal_2', dt_l3_lattices)).
fof(free_g3_lattices, axiom, ![X1, X2, X3]:((((((v1_funct_1(X2)&v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))&v1_funct_1(X3))&v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))=>![X4, X5, X6]:(g3_lattices(X1,X2,X3)=g3_lattices(X4,X5,X6)=>((X1=X4&X2=X5)&X3=X6))), file('latwal_2/latwal_2__l39_latwal_2', free_g3_lattices)).
fof(dt_g3_lattices, axiom, ![X1, X2, X3]:((((((v1_funct_1(X2)&v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))&v1_funct_1(X3))&v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1))))=>(v3_lattices(g3_lattices(X1,X2,X3))&l3_lattices(g3_lattices(X1,X2,X3)))), file('latwal_2/latwal_2__l39_latwal_2', dt_g3_lattices)).
fof(d10_latwal_1, axiom, k5_latwal_1=g3_lattices(k1_enumset1(k5_ordinal1,np__1,np__2),k3_latwal_1,k4_latwal_1), file('latwal_2/latwal_2__l39_latwal_2', d10_latwal_1)).
fof(dt_k4_latwal_1, axiom, ((v1_funct_1(k4_latwal_1)&v1_funct_2(k4_latwal_1,k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2)))&m1_subset_1(k4_latwal_1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))))), file('latwal_2/latwal_2__l39_latwal_2', dt_k4_latwal_1)).
fof(dt_k3_latwal_1, axiom, ((v1_funct_1(k3_latwal_1)&v1_funct_2(k3_latwal_1,k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2)))&m1_subset_1(k3_latwal_1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))))), file('latwal_2/latwal_2__l39_latwal_2', dt_k3_latwal_1)).
fof(abstractness_v3_lattices, axiom, ![X1]:(l3_lattices(X1)=>(v3_lattices(X1)=>X1=g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)))), file('latwal_2/latwal_2__l39_latwal_2', abstractness_v3_lattices)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('latwal_2/latwal_2__l39_latwal_2', cc8_ordinal1)).
fof(d9_xxreal_0, axiom, ![X1]:(v1_xxreal_0(X1)=>![X2]:(v1_xxreal_0(X2)=>((r1_xxreal_0(X1,X2)=>k3_xxreal_0(X1,X2)=X1)&(~(r1_xxreal_0(X1,X2))=>k3_xxreal_0(X1,X2)=X2)))), file('latwal_2/latwal_2__l39_latwal_2', d9_xxreal_0)).
fof(cc2_xxreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xxreal_0(X1)), file('latwal_2/latwal_2__l39_latwal_2', cc2_xxreal_0)).
fof(spc2_numerals, axiom, (v2_xxreal_0(np__2)&m1_subset_1(np__2,k4_ordinal1)), file('latwal_2/latwal_2__l39_latwal_2', spc2_numerals)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('latwal_2/latwal_2__l39_latwal_2', spc1_numerals)).
fof(d9_latwal_1, axiom, ![X1]:(((v1_funct_1(X1)&v1_funct_2(X1,k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2)))&m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2)))))=>(X1=k4_latwal_1<=>![X2]:(m1_subset_1(X2,k1_enumset1(k5_ordinal1,np__1,np__2))=>![X3]:(m1_subset_1(X3,k1_enumset1(k5_ordinal1,np__1,np__2))=>k4_binop_1(k1_enumset1(k5_ordinal1,np__1,np__2),X1,X2,X3)=k1_latwal_1(X2,X3))))), file('latwal_2/latwal_2__l39_latwal_2', d9_latwal_1)).
fof(d6_latwal_1, axiom, ![X1]:(m1_subset_1(X1,k1_enumset1(k5_ordinal1,np__1,np__2))=>![X2]:(m1_subset_1(X2,k1_enumset1(k5_ordinal1,np__1,np__2))=>((((X1=k5_ordinal1&X2=np__2)|(X1=np__2&X2=k5_ordinal1))=>k1_latwal_1(X1,X2)=np__2)&~(((~((X1=k5_ordinal1&X2=np__2))&~((X1=np__2&X2=k5_ordinal1)))&k1_latwal_1(X1,X2)!=k3_xxreal_0(X1,X2)))))), file('latwal_2/latwal_2__l39_latwal_2', d6_latwal_1)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(np__1,np__2), file('latwal_2/latwal_2__l39_latwal_2', rqLessOrEqual__r1_xxreal_0__r1_r2)).
fof(commutativity_k3_xxreal_0, axiom, ![X1, X2]:((v1_xxreal_0(X1)&v1_xxreal_0(X2))=>k3_xxreal_0(X1,X2)=k3_xxreal_0(X2,X1)), file('latwal_2/latwal_2__l39_latwal_2', commutativity_k3_xxreal_0)).
fof(cc3_xxreal_0, axiom, ![X1]:((v1_xxreal_0(X1)&v2_xxreal_0(X1))=>((~(v8_ordinal1(X1))&v1_xxreal_0(X1))&~(v3_xxreal_0(X1)))), file('latwal_2/latwal_2__l39_latwal_2', cc3_xxreal_0)).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1), file('latwal_2/latwal_2__l39_latwal_2', fc9_ordinal1)).
fof(c_0_23, negated_conjecture, ~(![X1]:(m1_subset_1(X1,u1_struct_0(k5_latwal_1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k5_latwal_1))=>((X1=np__2&X2=np__1)=>k4_lattices(k5_latwal_1,X1,X2)=np__1)))), inference(assume_negation,[status(cth)],[l39_latwal_2])).
fof(c_0_24, plain, ![X1, X2, X3]:(((((~v2_struct_0(X1)&v6_lattices(X1))&l1_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k4_lattices(X1,X2,X3)=k2_lattices(X1,X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k4_lattices])).
fof(c_0_25, negated_conjecture, (m1_subset_1(esk1_0,u1_struct_0(k5_latwal_1))&(m1_subset_1(esk2_0,u1_struct_0(k5_latwal_1))&((esk1_0=np__2&esk2_0=np__1)&k4_lattices(k5_latwal_1,esk1_0,esk2_0)!=np__1))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])).
fof(c_0_26, plain, ![X68, X69, X70]:(v2_struct_0(X68)|~v6_lattices(X68)|~l1_lattices(X68)|~m1_subset_1(X69,u1_struct_0(X68))|~m1_subset_1(X70,u1_struct_0(X68))|k4_lattices(X68,X69,X70)=k2_lattices(X68,X69,X70)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])).
cnf(c_0_27, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k5_latwal_1))), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_28, negated_conjecture, (esk2_0=np__1), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_29, plain, ((((((~v2_struct_0(k5_latwal_1)&v4_lattices(k5_latwal_1))&v6_lattices(k5_latwal_1))&v8_lattices(k5_latwal_1))&v9_lattices(k5_latwal_1))&v7_robbins1(k5_latwal_1))&v5_sheffer1(k5_latwal_1)), inference(fof_simplification,[status(thm)],[fc2_latwal_1])).
fof(c_0_30, plain, (~v2_struct_0(k5_latwal_1)&l3_lattices(k5_latwal_1)), inference(fof_simplification,[status(thm)],[dt_k5_latwal_1])).
fof(c_0_31, plain, ![X1]:((~v2_struct_0(X1)&l1_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k2_lattices(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u1_lattices(X1),X2,X3)))), inference(fof_simplification,[status(thm)],[d2_lattices])).
cnf(c_0_32, plain, (v2_struct_0(X1)|k4_lattices(X1,X2,X3)=k2_lattices(X1,X2,X3)|~v6_lattices(X1)|~l1_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_26])).
cnf(c_0_33, negated_conjecture, (m1_subset_1(np__1,u1_struct_0(k5_latwal_1))), inference(rw,[status(thm)],[c_0_27, c_0_28])).
cnf(c_0_34, plain, (v6_lattices(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_35, plain, (~v2_struct_0(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_30])).
fof(c_0_36, plain, ![X61]:((l1_lattices(X61)|~l3_lattices(X61))&(l2_lattices(X61)|~l3_lattices(X61))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])).
fof(c_0_37, plain, ![X46, X47, X48]:(v2_struct_0(X46)|~l1_lattices(X46)|(~m1_subset_1(X47,u1_struct_0(X46))|(~m1_subset_1(X48,u1_struct_0(X46))|k2_lattices(X46,X47,X48)=k4_binop_1(u1_struct_0(X46),u1_lattices(X46),X47,X48)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])).
fof(c_0_38, plain, ![X62, X63, X64, X65, X66, X67]:(((X62=X65|g3_lattices(X62,X63,X64)!=g3_lattices(X65,X66,X67)|(~v1_funct_1(X63)|~v1_funct_2(X63,k2_zfmisc_1(X62,X62),X62)|~m1_subset_1(X63,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X62,X62),X62)))|~v1_funct_1(X64)|~v1_funct_2(X64,k2_zfmisc_1(X62,X62),X62)|~m1_subset_1(X64,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X62,X62),X62)))))&(X63=X66|g3_lattices(X62,X63,X64)!=g3_lattices(X65,X66,X67)|(~v1_funct_1(X63)|~v1_funct_2(X63,k2_zfmisc_1(X62,X62),X62)|~m1_subset_1(X63,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X62,X62),X62)))|~v1_funct_1(X64)|~v1_funct_2(X64,k2_zfmisc_1(X62,X62),X62)|~m1_subset_1(X64,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X62,X62),X62))))))&(X64=X67|g3_lattices(X62,X63,X64)!=g3_lattices(X65,X66,X67)|(~v1_funct_1(X63)|~v1_funct_2(X63,k2_zfmisc_1(X62,X62),X62)|~m1_subset_1(X63,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X62,X62),X62)))|~v1_funct_1(X64)|~v1_funct_2(X64,k2_zfmisc_1(X62,X62),X62)|~m1_subset_1(X64,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X62,X62),X62)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_lattices])])])])).
fof(c_0_39, plain, ![X58, X59, X60]:((v3_lattices(g3_lattices(X58,X59,X60))|(~v1_funct_1(X59)|~v1_funct_2(X59,k2_zfmisc_1(X58,X58),X58)|~m1_subset_1(X59,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X58,X58),X58)))|~v1_funct_1(X60)|~v1_funct_2(X60,k2_zfmisc_1(X58,X58),X58)|~m1_subset_1(X60,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X58,X58),X58)))))&(l3_lattices(g3_lattices(X58,X59,X60))|(~v1_funct_1(X59)|~v1_funct_2(X59,k2_zfmisc_1(X58,X58),X58)|~m1_subset_1(X59,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X58,X58),X58)))|~v1_funct_1(X60)|~v1_funct_2(X60,k2_zfmisc_1(X58,X58),X58)|~m1_subset_1(X60,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X58,X58),X58)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_lattices])])])).
cnf(c_0_40, negated_conjecture, (k4_lattices(k5_latwal_1,X1,np__1)=k2_lattices(k5_latwal_1,X1,np__1)|~l1_lattices(k5_latwal_1)|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_41, plain, (l1_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_42, plain, (l3_lattices(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_43, negated_conjecture, (m1_subset_1(esk1_0,u1_struct_0(k5_latwal_1))), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_44, negated_conjecture, (esk1_0=np__2), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_45, plain, (v2_struct_0(X1)|k2_lattices(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u1_lattices(X1),X2,X3)|~l1_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_37])).
cnf(c_0_46, plain, (X1=X2|g3_lattices(X1,X3,X4)!=g3_lattices(X2,X5,X6)|~v1_funct_1(X3)|~v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1)))|~v1_funct_1(X4)|~v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1)))), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_47, plain, (k5_latwal_1=g3_lattices(k1_enumset1(k5_ordinal1,np__1,np__2),k3_latwal_1,k4_latwal_1)), inference(split_conjunct,[status(thm)],[d10_latwal_1])).
cnf(c_0_48, plain, (v1_funct_2(k4_latwal_1,k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))), inference(split_conjunct,[status(thm)],[dt_k4_latwal_1])).
cnf(c_0_49, plain, (v1_funct_2(k3_latwal_1,k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))), inference(split_conjunct,[status(thm)],[dt_k3_latwal_1])).
cnf(c_0_50, plain, (v1_funct_1(k4_latwal_1)), inference(split_conjunct,[status(thm)],[dt_k4_latwal_1])).
cnf(c_0_51, plain, (v1_funct_1(k3_latwal_1)), inference(split_conjunct,[status(thm)],[dt_k3_latwal_1])).
cnf(c_0_52, plain, (m1_subset_1(k4_latwal_1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))))), inference(split_conjunct,[status(thm)],[dt_k4_latwal_1])).
cnf(c_0_53, plain, (m1_subset_1(k3_latwal_1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))))), inference(split_conjunct,[status(thm)],[dt_k3_latwal_1])).
fof(c_0_54, plain, ![X40]:(~l3_lattices(X40)|(~v3_lattices(X40)|X40=g3_lattices(u1_struct_0(X40),u2_lattices(X40),u1_lattices(X40)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])])).
cnf(c_0_55, plain, (v3_lattices(g3_lattices(X1,X2,X3))|~v1_funct_1(X2)|~v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1)))|~v1_funct_1(X3)|~v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X1,X1),X1)))), inference(split_conjunct,[status(thm)],[c_0_39])).
fof(c_0_56, plain, ![X43]:(~m1_subset_1(X43,k4_ordinal1)|v7_ordinal1(X43)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
cnf(c_0_57, negated_conjecture, (k4_lattices(k5_latwal_1,esk1_0,esk2_0)!=np__1), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_58, negated_conjecture, (k4_lattices(k5_latwal_1,X1,np__1)=k2_lattices(k5_latwal_1,X1,np__1)|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42])])).
cnf(c_0_59, negated_conjecture, (m1_subset_1(np__2,u1_struct_0(k5_latwal_1))), inference(rw,[status(thm)],[c_0_43, c_0_44])).
cnf(c_0_60, negated_conjecture, (k2_lattices(k5_latwal_1,X1,np__1)=k4_binop_1(u1_struct_0(k5_latwal_1),u1_lattices(k5_latwal_1),X1,np__1)|~l1_lattices(k5_latwal_1)|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_33]), c_0_35])).
cnf(c_0_61, plain, (X1=X2|g3_lattices(X3,X4,X1)!=g3_lattices(X5,X6,X2)|~v1_funct_1(X4)|~v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))|~v1_funct_1(X1)|~v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X3,X3),X3)))), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_62, plain, (k1_enumset1(k5_ordinal1,np__1,np__2)=X1|g3_lattices(X1,X2,X3)!=k5_latwal_1), 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_46, c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53])])).
cnf(c_0_63, plain, (X1=g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))|~l3_lattices(X1)|~v3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_64, plain, (v3_lattices(g3_lattices(k1_enumset1(k5_ordinal1,np__1,np__2),X1,k4_latwal_1))|~v1_funct_2(X1,k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_48]), c_0_50]), c_0_52])])).
fof(c_0_65, plain, ![X1]:(v1_xxreal_0(X1)=>![X2]:(v1_xxreal_0(X2)=>((r1_xxreal_0(X1,X2)=>k3_xxreal_0(X1,X2)=X1)&(~r1_xxreal_0(X1,X2)=>k3_xxreal_0(X1,X2)=X2)))), inference(fof_simplification,[status(thm)],[d9_xxreal_0])).
fof(c_0_66, plain, ![X41]:(~v7_ordinal1(X41)|v1_xxreal_0(X41)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xxreal_0])])).
cnf(c_0_67, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_56])).
cnf(c_0_68, plain, (m1_subset_1(np__2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
cnf(c_0_69, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_70, negated_conjecture, (k4_lattices(k5_latwal_1,np__2,np__1)!=np__1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57, c_0_44]), c_0_28])).
cnf(c_0_71, negated_conjecture, (k4_lattices(k5_latwal_1,np__2,np__1)=k2_lattices(k5_latwal_1,np__2,np__1)), inference(spm,[status(thm)],[c_0_58, c_0_59])).
cnf(c_0_72, negated_conjecture, (k2_lattices(k5_latwal_1,X1,np__1)=k4_binop_1(u1_struct_0(k5_latwal_1),u1_lattices(k5_latwal_1),X1,np__1)|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_41]), c_0_42])])).
cnf(c_0_73, plain, (k4_latwal_1=X1|g3_lattices(X2,X3,X1)!=k5_latwal_1), 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_61, c_0_47]), c_0_49]), c_0_48]), c_0_51]), c_0_50]), c_0_53]), c_0_52])])).
fof(c_0_74, plain, ![X51, X52, X53]:((X51!=k4_latwal_1|(~m1_subset_1(X52,k1_enumset1(k5_ordinal1,np__1,np__2))|(~m1_subset_1(X53,k1_enumset1(k5_ordinal1,np__1,np__2))|k4_binop_1(k1_enumset1(k5_ordinal1,np__1,np__2),X51,X52,X53)=k1_latwal_1(X52,X53)))|(~v1_funct_1(X51)|~v1_funct_2(X51,k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X51,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))))))&((m1_subset_1(esk3_1(X51),k1_enumset1(k5_ordinal1,np__1,np__2))|X51=k4_latwal_1|(~v1_funct_1(X51)|~v1_funct_2(X51,k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X51,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))))))&((m1_subset_1(esk4_1(X51),k1_enumset1(k5_ordinal1,np__1,np__2))|X51=k4_latwal_1|(~v1_funct_1(X51)|~v1_funct_2(X51,k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X51,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))))))&(k4_binop_1(k1_enumset1(k5_ordinal1,np__1,np__2),X51,esk3_1(X51),esk4_1(X51))!=k1_latwal_1(esk3_1(X51),esk4_1(X51))|X51=k4_latwal_1|(~v1_funct_1(X51)|~v1_funct_2(X51,k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X51,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_latwal_1])])])])])).
cnf(c_0_75, plain, (u1_struct_0(k5_latwal_1)=k1_enumset1(k5_ordinal1,np__1,np__2)|~v3_lattices(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63])]), c_0_42])])).
cnf(c_0_76, plain, (v3_lattices(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_49]), c_0_47]), c_0_51]), c_0_53])])).
fof(c_0_77, plain, ![X56, X57]:((~r1_xxreal_0(X56,X57)|k3_xxreal_0(X56,X57)=X56|~v1_xxreal_0(X57)|~v1_xxreal_0(X56))&(r1_xxreal_0(X56,X57)|k3_xxreal_0(X56,X57)=X57|~v1_xxreal_0(X57)|~v1_xxreal_0(X56))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])])).
cnf(c_0_78, plain, (v1_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_66])).
cnf(c_0_79, plain, (v7_ordinal1(np__2)), inference(spm,[status(thm)],[c_0_67, c_0_68])).
cnf(c_0_80, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_67, c_0_69])).
cnf(c_0_81, negated_conjecture, (k2_lattices(k5_latwal_1,np__2,np__1)!=np__1), inference(rw,[status(thm)],[c_0_70, c_0_71])).
cnf(c_0_82, negated_conjecture, (k2_lattices(k5_latwal_1,np__2,np__1)=k4_binop_1(u1_struct_0(k5_latwal_1),u1_lattices(k5_latwal_1),np__2,np__1)), inference(spm,[status(thm)],[c_0_72, c_0_59])).
cnf(c_0_83, plain, (u1_lattices(k5_latwal_1)=k4_latwal_1|~v3_lattices(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_63])]), c_0_42])])).
cnf(c_0_84, plain, (k4_binop_1(k1_enumset1(k5_ordinal1,np__1,np__2),X1,X2,X3)=k1_latwal_1(X2,X3)|X1!=k4_latwal_1|~m1_subset_1(X2,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X3,k1_enumset1(k5_ordinal1,np__1,np__2))|~v1_funct_1(X1)|~v1_funct_2(X1,k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,np__1,np__2),k1_enumset1(k5_ordinal1,np__1,np__2)),k1_enumset1(k5_ordinal1,np__1,np__2))))), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_85, plain, (u1_struct_0(k5_latwal_1)=k1_enumset1(k5_ordinal1,np__1,np__2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75, c_0_76])])).
fof(c_0_86, plain, ![X49, X50]:(((X49!=k5_ordinal1|X50!=np__2|k1_latwal_1(X49,X50)=np__2|~m1_subset_1(X50,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X49,k1_enumset1(k5_ordinal1,np__1,np__2)))&(X49!=np__2|X50!=k5_ordinal1|k1_latwal_1(X49,X50)=np__2|~m1_subset_1(X50,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X49,k1_enumset1(k5_ordinal1,np__1,np__2))))&(((X49=np__2|X49=k5_ordinal1|k1_latwal_1(X49,X50)=k3_xxreal_0(X49,X50)|~m1_subset_1(X50,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X49,k1_enumset1(k5_ordinal1,np__1,np__2)))&(X50=k5_ordinal1|X49=k5_ordinal1|k1_latwal_1(X49,X50)=k3_xxreal_0(X49,X50)|~m1_subset_1(X50,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X49,k1_enumset1(k5_ordinal1,np__1,np__2))))&((X49=np__2|X50=np__2|k1_latwal_1(X49,X50)=k3_xxreal_0(X49,X50)|~m1_subset_1(X50,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X49,k1_enumset1(k5_ordinal1,np__1,np__2)))&(X50=k5_ordinal1|X50=np__2|k1_latwal_1(X49,X50)=k3_xxreal_0(X49,X50)|~m1_subset_1(X50,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X49,k1_enumset1(k5_ordinal1,np__1,np__2)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_latwal_1])])])])).
cnf(c_0_87, plain, (k3_xxreal_0(X1,X2)=X1|~r1_xxreal_0(X1,X2)|~v1_xxreal_0(X2)|~v1_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_88, plain, (r1_xxreal_0(np__1,np__2)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r1_r2])).
cnf(c_0_89, plain, (v1_xxreal_0(np__2)), inference(spm,[status(thm)],[c_0_78, c_0_79])).
cnf(c_0_90, plain, (v1_xxreal_0(np__1)), inference(spm,[status(thm)],[c_0_78, c_0_80])).
fof(c_0_91, plain, ![X44, X45]:(~v1_xxreal_0(X44)|~v1_xxreal_0(X45)|k3_xxreal_0(X44,X45)=k3_xxreal_0(X45,X44)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k3_xxreal_0])])).
cnf(c_0_92, negated_conjecture, (k4_binop_1(u1_struct_0(k5_latwal_1),u1_lattices(k5_latwal_1),np__2,np__1)!=np__1), inference(rw,[status(thm)],[c_0_81, c_0_82])).
cnf(c_0_93, plain, (u1_lattices(k5_latwal_1)=k4_latwal_1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83, c_0_76])])).
cnf(c_0_94, plain, (k4_binop_1(k1_enumset1(k5_ordinal1,np__1,np__2),k4_latwal_1,X1,X2)=k1_latwal_1(X1,X2)|~m1_subset_1(X2,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X1,k1_enumset1(k5_ordinal1,np__1,np__2))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_84]), c_0_48]), c_0_50]), c_0_52])])).
cnf(c_0_95, negated_conjecture, (m1_subset_1(np__1,k1_enumset1(k5_ordinal1,np__1,np__2))), inference(rw,[status(thm)],[c_0_33, c_0_85])).
cnf(c_0_96, plain, (X1=k5_ordinal1|X1=np__2|k1_latwal_1(X2,X1)=k3_xxreal_0(X2,X1)|~m1_subset_1(X1,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X2,k1_enumset1(k5_ordinal1,np__1,np__2))), inference(split_conjunct,[status(thm)],[c_0_86])).
cnf(c_0_97, negated_conjecture, (m1_subset_1(np__2,k1_enumset1(k5_ordinal1,np__1,np__2))), inference(rw,[status(thm)],[c_0_59, c_0_85])).
cnf(c_0_98, plain, (k3_xxreal_0(np__1,np__2)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_88]), c_0_89]), c_0_90])])).
cnf(c_0_99, plain, (k3_xxreal_0(X1,X2)=k3_xxreal_0(X2,X1)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_91])).
cnf(c_0_100, negated_conjecture, (k4_binop_1(u1_struct_0(k5_latwal_1),k4_latwal_1,np__2,np__1)!=np__1), inference(rw,[status(thm)],[c_0_92, c_0_93])).
cnf(c_0_101, negated_conjecture, (k4_binop_1(k1_enumset1(k5_ordinal1,np__1,np__2),k4_latwal_1,X1,np__1)=k1_latwal_1(X1,np__1)|~m1_subset_1(X1,k1_enumset1(k5_ordinal1,np__1,np__2))), inference(spm,[status(thm)],[c_0_94, c_0_95])).
fof(c_0_102, plain, ![X1]:((v1_xxreal_0(X1)&v2_xxreal_0(X1))=>((~v8_ordinal1(X1)&v1_xxreal_0(X1))&~v3_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc3_xxreal_0])).
cnf(c_0_103, negated_conjecture, (k1_latwal_1(np__2,X1)=k3_xxreal_0(np__2,X1)|X1=k5_ordinal1|X1=np__2|~m1_subset_1(X1,k1_enumset1(k5_ordinal1,np__1,np__2))), inference(spm,[status(thm)],[c_0_96, c_0_97])).
cnf(c_0_104, plain, (k3_xxreal_0(np__2,np__1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_99]), c_0_90]), c_0_89])])).
cnf(c_0_105, negated_conjecture, (k4_binop_1(k1_enumset1(k5_ordinal1,np__1,np__2),k4_latwal_1,np__2,np__1)!=np__1), inference(rw,[status(thm)],[c_0_100, c_0_85])).
cnf(c_0_106, negated_conjecture, (k4_binop_1(k1_enumset1(k5_ordinal1,np__1,np__2),k4_latwal_1,np__2,np__1)=k1_latwal_1(np__2,np__1)), inference(spm,[status(thm)],[c_0_101, c_0_97])).
fof(c_0_107, plain, ![X42]:(((~v8_ordinal1(X42)|(~v1_xxreal_0(X42)|~v2_xxreal_0(X42)))&(v1_xxreal_0(X42)|(~v1_xxreal_0(X42)|~v2_xxreal_0(X42))))&(~v3_xxreal_0(X42)|(~v1_xxreal_0(X42)|~v2_xxreal_0(X42)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_102])])])).
cnf(c_0_108, negated_conjecture, (k1_latwal_1(np__2,np__1)=np__1|np__1=np__2|np__1=k5_ordinal1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_95]), c_0_104])).
cnf(c_0_109, negated_conjecture, (k1_latwal_1(np__2,np__1)!=np__1), inference(rw,[status(thm)],[c_0_105, c_0_106])).
cnf(c_0_110, plain, (X1=k5_ordinal1|X2=k5_ordinal1|k1_latwal_1(X2,X1)=k3_xxreal_0(X2,X1)|~m1_subset_1(X1,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X2,k1_enumset1(k5_ordinal1,np__1,np__2))), inference(split_conjunct,[status(thm)],[c_0_86])).
cnf(c_0_111, plain, (~v8_ordinal1(X1)|~v1_xxreal_0(X1)|~v2_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_107])).
cnf(c_0_112, plain, (v8_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc9_ordinal1])).
cnf(c_0_113, plain, (v2_xxreal_0(np__1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_114, negated_conjecture, (np__1=k5_ordinal1|np__1=np__2), inference(sr,[status(thm)],[c_0_108, c_0_109])).
cnf(c_0_115, negated_conjecture, (k1_latwal_1(np__2,X1)=k3_xxreal_0(np__2,X1)|k5_ordinal1=np__2|X1=k5_ordinal1|~m1_subset_1(X1,k1_enumset1(k5_ordinal1,np__1,np__2))), inference(spm,[status(thm)],[c_0_110, c_0_97])).
cnf(c_0_116, plain, (~v2_xxreal_0(k5_ordinal1)|~v1_xxreal_0(k5_ordinal1)), inference(spm,[status(thm)],[c_0_111, c_0_112])).
cnf(c_0_117, negated_conjecture, (np__1=np__2|v2_xxreal_0(k5_ordinal1)), inference(spm,[status(thm)],[c_0_113, c_0_114])).
cnf(c_0_118, negated_conjecture, (k1_latwal_1(np__2,np__1)=np__1|np__1=k5_ordinal1|k5_ordinal1=np__2), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115, c_0_95]), c_0_104])).
cnf(c_0_119, negated_conjecture, (np__1=np__2|~v1_xxreal_0(k5_ordinal1)), inference(spm,[status(thm)],[c_0_116, c_0_117])).
cnf(c_0_120, negated_conjecture, (k5_ordinal1=np__2|np__1=k5_ordinal1), inference(sr,[status(thm)],[c_0_118, c_0_109])).
cnf(c_0_121, negated_conjecture, (np__1=np__2), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_114]), c_0_119])).
cnf(c_0_122, negated_conjecture, (k5_ordinal1=np__2), inference(spm,[status(thm)],[c_0_120, c_0_121])).
cnf(c_0_123, plain, (v2_xxreal_0(np__2)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
cnf(c_0_124, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116, c_0_122]), c_0_123]), c_0_122]), c_0_89])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 125
# Proof object clause steps            : 81
# Proof object formula steps           : 44
# Proof object conjectures             : 36
# Proof object clause conjectures      : 33
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 36
# Proof object initial formulas used   : 23
# Proof object generating inferences   : 29
# Proof object simplifying inferences  : 71
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 23
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 55
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 54
# Processed clauses                    : 315
# ...of these trivial                  : 4
# ...subsumed                          : 35
# ...remaining for further processing  : 276
# Other redundant clauses eliminated   : 16
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 11
# Backward-rewritten                   : 147
# Generated clauses                    : 412
# ...of the previous two non-trivial   : 512
# Contextual simplify-reflections      : 5
# Paramodulations                      : 386
# Factorizations                       : 7
# NegExts                              : 0
# Equation resolutions                 : 19
# 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  : 60
#    Positive orientable unit clauses  : 20
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 39
# Current number of unprocessed clauses: 298
# ...number of literals in the above   : 994
# Current number of archived formulas  : 0
# Current number of archived clauses   : 213
# Clause-clause subsumption calls (NU) : 2255
# Rec. Clause-clause subsumption calls : 640
# Non-unit clause-clause subsumptions  : 50
# Unit Clause-clause subsumption calls : 178
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 81
# BW rewrite match successes           : 13
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 16696

# -------------------------------------------------
# User time                : 0.031 s
# System time              : 0.008 s
# Total time               : 0.039 s
# Maximum resident set size: 3320 pages
