# 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(redefinition_k3_lattices, axiom, ![X1, X2, X3]:(((((~(v2_struct_0(X1))&v4_lattices(X1))&l2_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k3_lattices(X1,X2,X3)=k1_lattices(X1,X2,X3)), file('latwal_2/latwal_2__l33_latwal_2', redefinition_k3_lattices)).
fof(l33_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)=>k3_lattices(k5_latwal_1,X1,X2)=np__2))), file('latwal_2/latwal_2__l33_latwal_2', l33_latwal_2)).
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__l33_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__l33_latwal_2', dt_k5_latwal_1)).
fof(d1_lattices, axiom, ![X1]:((~(v2_struct_0(X1))&l2_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k1_lattices(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u2_lattices(X1),X2,X3)))), file('latwal_2/latwal_2__l33_latwal_2', d1_lattices)).
fof(dt_l3_lattices, axiom, ![X1]:(l3_lattices(X1)=>(l1_lattices(X1)&l2_lattices(X1))), file('latwal_2/latwal_2__l33_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__l33_latwal_2', free_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__l33_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__l33_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__l33_latwal_2', dt_k3_latwal_1)).
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__l33_latwal_2', dt_g3_lattices)).
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__l33_latwal_2', abstractness_v3_lattices)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('latwal_2/latwal_2__l33_latwal_2', cc8_ordinal1)).
fof(spc2_numerals, axiom, (v2_xxreal_0(np__2)&m1_subset_1(np__2,k4_ordinal1)), file('latwal_2/latwal_2__l33_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__l33_latwal_2', spc1_numerals)).
fof(d8_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=k3_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)=k2_latwal_1(X2,X3))))), file('latwal_2/latwal_2__l33_latwal_2', d8_latwal_1)).
fof(d7_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))=>k2_latwal_1(X1,X2)=k5_ordinal1)&~(((~((X1=k5_ordinal1&X2=np__2))&~((X1=np__2&X2=k5_ordinal1)))&k2_latwal_1(X1,X2)!=k4_xxreal_0(X1,X2)))))), file('latwal_2/latwal_2__l33_latwal_2', d7_latwal_1)).
fof(d10_xxreal_0, axiom, ![X1]:(v1_xxreal_0(X1)=>![X2]:(v1_xxreal_0(X2)=>((r1_xxreal_0(X2,X1)=>k4_xxreal_0(X1,X2)=X1)&(~(r1_xxreal_0(X2,X1))=>k4_xxreal_0(X1,X2)=X2)))), file('latwal_2/latwal_2__l33_latwal_2', d10_xxreal_0)).
fof(cc2_xxreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xxreal_0(X1)), file('latwal_2/latwal_2__l33_latwal_2', cc2_xxreal_0)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(np__1,np__2), file('latwal_2/latwal_2__l33_latwal_2', rqLessOrEqual__r1_xxreal_0__r1_r2)).
fof(cc7_xxreal_0, axiom, ![X1]:((v8_ordinal1(X1)&v1_xxreal_0(X1))=>((v1_xxreal_0(X1)&~(v2_xxreal_0(X1)))&~(v3_xxreal_0(X1)))), file('latwal_2/latwal_2__l33_latwal_2', cc7_xxreal_0)).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1), file('latwal_2/latwal_2__l33_latwal_2', fc9_ordinal1)).
fof(c_0_22, plain, ![X1, X2, X3]:(((((~v2_struct_0(X1)&v4_lattices(X1))&l2_lattices(X1))&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>k3_lattices(X1,X2,X3)=k1_lattices(X1,X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k3_lattices])).
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)=>k3_lattices(k5_latwal_1,X1,X2)=np__2)))), inference(assume_negation,[status(cth)],[l33_latwal_2])).
fof(c_0_24, plain, ![X64, X65, X66]:(v2_struct_0(X64)|~v4_lattices(X64)|~l2_lattices(X64)|~m1_subset_1(X65,u1_struct_0(X64))|~m1_subset_1(X66,u1_struct_0(X64))|k3_lattices(X64,X65,X66)=k1_lattices(X64,X65,X66)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])).
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)&k3_lattices(k5_latwal_1,esk1_0,esk2_0)!=np__2))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])).
fof(c_0_26, 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_27, plain, (~v2_struct_0(k5_latwal_1)&l3_lattices(k5_latwal_1)), inference(fof_simplification,[status(thm)],[dt_k5_latwal_1])).
fof(c_0_28, plain, ![X1]:((~v2_struct_0(X1)&l2_lattices(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k1_lattices(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u2_lattices(X1),X2,X3)))), inference(fof_simplification,[status(thm)],[d1_lattices])).
cnf(c_0_29, plain, (v2_struct_0(X1)|k3_lattices(X1,X2,X3)=k1_lattices(X1,X2,X3)|~v4_lattices(X1)|~l2_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_24])).
cnf(c_0_30, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k5_latwal_1))), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_31, plain, (v4_lattices(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_32, plain, (~v2_struct_0(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_27])).
fof(c_0_33, plain, ![X57]:((l1_lattices(X57)|~l3_lattices(X57))&(l2_lattices(X57)|~l3_lattices(X57))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])).
fof(c_0_34, plain, ![X44, X45, X46]:(v2_struct_0(X44)|~l2_lattices(X44)|(~m1_subset_1(X45,u1_struct_0(X44))|(~m1_subset_1(X46,u1_struct_0(X44))|k1_lattices(X44,X45,X46)=k4_binop_1(u1_struct_0(X44),u2_lattices(X44),X45,X46)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])).
fof(c_0_35, plain, ![X58, X59, X60, X61, X62, X63]:(((X58=X61|g3_lattices(X58,X59,X60)!=g3_lattices(X61,X62,X63)|(~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)))))&(X59=X62|g3_lattices(X58,X59,X60)!=g3_lattices(X61,X62,X63)|(~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))))))&(X60=X63|g3_lattices(X58,X59,X60)!=g3_lattices(X61,X62,X63)|(~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(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_lattices])])])])).
cnf(c_0_36, 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_37, negated_conjecture, (esk2_0=np__1), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_38, negated_conjecture, (esk1_0=np__2), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_39, 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_40, 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_41, 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_42, 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_43, plain, ![X54, X55, X56]:((v3_lattices(g3_lattices(X54,X55,X56))|(~v1_funct_1(X55)|~v1_funct_2(X55,k2_zfmisc_1(X54,X54),X54)|~m1_subset_1(X55,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X54,X54),X54)))|~v1_funct_1(X56)|~v1_funct_2(X56,k2_zfmisc_1(X54,X54),X54)|~m1_subset_1(X56,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X54,X54),X54)))))&(l3_lattices(g3_lattices(X54,X55,X56))|(~v1_funct_1(X55)|~v1_funct_2(X55,k2_zfmisc_1(X54,X54),X54)|~m1_subset_1(X55,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X54,X54),X54)))|~v1_funct_1(X56)|~v1_funct_2(X56,k2_zfmisc_1(X54,X54),X54)|~m1_subset_1(X56,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X54,X54),X54)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_lattices])])])).
cnf(c_0_44, negated_conjecture, (k3_lattices(k5_latwal_1,X1,esk2_0)=k1_lattices(k5_latwal_1,X1,esk2_0)|~l2_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_29, c_0_30]), c_0_31])]), c_0_32])).
cnf(c_0_45, plain, (l2_lattices(X1)|~l3_lattices(X1)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_46, plain, (l3_lattices(k5_latwal_1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_47, plain, (v2_struct_0(X1)|k1_lattices(X1,X2,X3)=k4_binop_1(u1_struct_0(X1),u2_lattices(X1),X2,X3)|~l2_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_34])).
cnf(c_0_48, 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_35])).
cnf(c_0_49, plain, (g3_lattices(k1_enumset1(k5_ordinal1,esk2_0,esk1_0),k3_latwal_1,k4_latwal_1)=k5_latwal_1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_37]), c_0_38])).
cnf(c_0_50, plain, (v1_funct_2(k4_latwal_1,k2_zfmisc_1(k1_enumset1(k5_ordinal1,esk2_0,esk1_0),k1_enumset1(k5_ordinal1,esk2_0,esk1_0)),k1_enumset1(k5_ordinal1,esk2_0,esk1_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_37]), c_0_38]), c_0_37]), c_0_38]), c_0_37]), c_0_38])).
cnf(c_0_51, plain, (v1_funct_2(k3_latwal_1,k2_zfmisc_1(k1_enumset1(k5_ordinal1,esk2_0,esk1_0),k1_enumset1(k5_ordinal1,esk2_0,esk1_0)),k1_enumset1(k5_ordinal1,esk2_0,esk1_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_37]), c_0_38]), c_0_37]), c_0_38]), c_0_37]), c_0_38])).
cnf(c_0_52, plain, (v1_funct_1(k4_latwal_1)), inference(split_conjunct,[status(thm)],[dt_k4_latwal_1])).
cnf(c_0_53, plain, (v1_funct_1(k3_latwal_1)), inference(split_conjunct,[status(thm)],[dt_k3_latwal_1])).
cnf(c_0_54, plain, (m1_subset_1(k4_latwal_1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,esk2_0,esk1_0),k1_enumset1(k5_ordinal1,esk2_0,esk1_0)),k1_enumset1(k5_ordinal1,esk2_0,esk1_0))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_37]), c_0_38]), c_0_37]), c_0_38]), c_0_37]), c_0_38])).
cnf(c_0_55, plain, (m1_subset_1(k3_latwal_1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,esk2_0,esk1_0),k1_enumset1(k5_ordinal1,esk2_0,esk1_0)),k1_enumset1(k5_ordinal1,esk2_0,esk1_0))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_37]), c_0_38]), c_0_37]), c_0_38]), c_0_37]), c_0_38])).
fof(c_0_56, plain, ![X38]:(~l3_lattices(X38)|(~v3_lattices(X38)|X38=g3_lattices(u1_struct_0(X38),u2_lattices(X38),u1_lattices(X38)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])])).
cnf(c_0_57, 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_43])).
cnf(c_0_58, negated_conjecture, (k3_lattices(k5_latwal_1,esk1_0,esk2_0)!=np__2), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_59, negated_conjecture, (k3_lattices(k5_latwal_1,X1,esk2_0)=k1_lattices(k5_latwal_1,X1,esk2_0)|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_46])])).
cnf(c_0_60, negated_conjecture, (m1_subset_1(esk1_0,u1_struct_0(k5_latwal_1))), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_61, negated_conjecture, (k1_lattices(k5_latwal_1,X1,esk2_0)=k4_binop_1(u1_struct_0(k5_latwal_1),u2_lattices(k5_latwal_1),X1,esk2_0)|~l2_lattices(k5_latwal_1)|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_30]), c_0_32])).
cnf(c_0_62, plain, (X1=X2|g3_lattices(X3,X1,X4)!=g3_lattices(X5,X2,X6)|~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)))|~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)))), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_63, plain, (k1_enumset1(k5_ordinal1,esk2_0,esk1_0)=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_48, c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53]), c_0_54]), c_0_55])])).
cnf(c_0_64, 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_56])).
cnf(c_0_65, plain, (v3_lattices(g3_lattices(k1_enumset1(k5_ordinal1,esk2_0,esk1_0),X1,k4_latwal_1))|~v1_funct_2(X1,k2_zfmisc_1(k1_enumset1(k5_ordinal1,esk2_0,esk1_0),k1_enumset1(k5_ordinal1,esk2_0,esk1_0)),k1_enumset1(k5_ordinal1,esk2_0,esk1_0))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_enumset1(k5_ordinal1,esk2_0,esk1_0),k1_enumset1(k5_ordinal1,esk2_0,esk1_0)),k1_enumset1(k5_ordinal1,esk2_0,esk1_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_50]), c_0_52]), c_0_54])])).
fof(c_0_66, plain, ![X41]:(~m1_subset_1(X41,k4_ordinal1)|v7_ordinal1(X41)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
cnf(c_0_67, plain, (m1_subset_1(np__2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc2_numerals])).
cnf(c_0_68, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_69, negated_conjecture, (k3_lattices(k5_latwal_1,esk1_0,esk2_0)!=esk1_0), inference(rw,[status(thm)],[c_0_58, c_0_38])).
cnf(c_0_70, negated_conjecture, (k3_lattices(k5_latwal_1,esk1_0,esk2_0)=k1_lattices(k5_latwal_1,esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_59, c_0_60])).
cnf(c_0_71, negated_conjecture, (k1_lattices(k5_latwal_1,X1,esk2_0)=k4_binop_1(u1_struct_0(k5_latwal_1),u2_lattices(k5_latwal_1),X1,esk2_0)|~m1_subset_1(X1,u1_struct_0(k5_latwal_1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_45]), c_0_46])])).
cnf(c_0_72, plain, (k3_latwal_1=X1|g3_lattices(X2,X1,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_62, c_0_49]), c_0_50]), c_0_51]), c_0_52]), c_0_53]), c_0_54]), c_0_55])])).
fof(c_0_73, plain, ![X49, X50, X51]:((X49!=k3_latwal_1|(~m1_subset_1(X50,k1_enumset1(k5_ordinal1,np__1,np__2))|(~m1_subset_1(X51,k1_enumset1(k5_ordinal1,np__1,np__2))|k4_binop_1(k1_enumset1(k5_ordinal1,np__1,np__2),X49,X50,X51)=k2_latwal_1(X50,X51)))|(~v1_funct_1(X49)|~v1_funct_2(X49,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(X49,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(X49),k1_enumset1(k5_ordinal1,np__1,np__2))|X49=k3_latwal_1|(~v1_funct_1(X49)|~v1_funct_2(X49,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(X49,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(X49),k1_enumset1(k5_ordinal1,np__1,np__2))|X49=k3_latwal_1|(~v1_funct_1(X49)|~v1_funct_2(X49,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(X49,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),X49,esk3_1(X49),esk4_1(X49))!=k2_latwal_1(esk3_1(X49),esk4_1(X49))|X49=k3_latwal_1|(~v1_funct_1(X49)|~v1_funct_2(X49,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(X49,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)],[d8_latwal_1])])])])])).
cnf(c_0_74, plain, (u1_struct_0(k5_latwal_1)=k1_enumset1(k5_ordinal1,esk2_0,esk1_0)|~v3_lattices(k5_latwal_1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64])]), c_0_46])])).
cnf(c_0_75, 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_65, c_0_51]), c_0_49]), c_0_53]), c_0_55])])).
fof(c_0_76, plain, ![X47, X48]:(((X47!=k5_ordinal1|X48!=np__2|k2_latwal_1(X47,X48)=k5_ordinal1|~m1_subset_1(X48,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X47,k1_enumset1(k5_ordinal1,np__1,np__2)))&(X47!=np__2|X48!=k5_ordinal1|k2_latwal_1(X47,X48)=k5_ordinal1|~m1_subset_1(X48,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X47,k1_enumset1(k5_ordinal1,np__1,np__2))))&(((X47=np__2|X47=k5_ordinal1|k2_latwal_1(X47,X48)=k4_xxreal_0(X47,X48)|~m1_subset_1(X48,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X47,k1_enumset1(k5_ordinal1,np__1,np__2)))&(X48=k5_ordinal1|X47=k5_ordinal1|k2_latwal_1(X47,X48)=k4_xxreal_0(X47,X48)|~m1_subset_1(X48,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X47,k1_enumset1(k5_ordinal1,np__1,np__2))))&((X47=np__2|X48=np__2|k2_latwal_1(X47,X48)=k4_xxreal_0(X47,X48)|~m1_subset_1(X48,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X47,k1_enumset1(k5_ordinal1,np__1,np__2)))&(X48=k5_ordinal1|X48=np__2|k2_latwal_1(X47,X48)=k4_xxreal_0(X47,X48)|~m1_subset_1(X48,k1_enumset1(k5_ordinal1,np__1,np__2))|~m1_subset_1(X47,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)],[d7_latwal_1])])])])).
fof(c_0_77, plain, ![X1]:(v1_xxreal_0(X1)=>![X2]:(v1_xxreal_0(X2)=>((r1_xxreal_0(X2,X1)=>k4_xxreal_0(X1,X2)=X1)&(~r1_xxreal_0(X2,X1)=>k4_xxreal_0(X1,X2)=X2)))), inference(fof_simplification,[status(thm)],[d10_xxreal_0])).
fof(c_0_78, plain, ![X39]:(~v7_ordinal1(X39)|v1_xxreal_0(X39)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xxreal_0])])).
cnf(c_0_79, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_66])).
cnf(c_0_80, plain, (m1_subset_1(esk1_0,k4_ordinal1)), inference(rw,[status(thm)],[c_0_67, c_0_38])).
cnf(c_0_81, plain, (m1_subset_1(esk2_0,k4_ordinal1)), inference(rw,[status(thm)],[c_0_68, c_0_37])).
cnf(c_0_82, negated_conjecture, (k1_lattices(k5_latwal_1,esk1_0,esk2_0)!=esk1_0), inference(rw,[status(thm)],[c_0_69, c_0_70])).
cnf(c_0_83, negated_conjecture, (k1_lattices(k5_latwal_1,esk1_0,esk2_0)=k4_binop_1(u1_struct_0(k5_latwal_1),u2_lattices(k5_latwal_1),esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_71, c_0_60])).
cnf(c_0_84, plain, (u2_lattices(k5_latwal_1)=k3_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_72, c_0_64])]), c_0_46])])).
cnf(c_0_85, plain, (k4_binop_1(k1_enumset1(k5_ordinal1,np__1,np__2),X1,X2,X3)=k2_latwal_1(X2,X3)|X1!=k3_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_73])).
cnf(c_0_86, plain, (u1_struct_0(k5_latwal_1)=k1_enumset1(k5_ordinal1,esk2_0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74, c_0_75])])).
cnf(c_0_87, plain, (X1=k5_ordinal1|X1=np__2|k2_latwal_1(X2,X1)=k4_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_76])).
fof(c_0_88, plain, ![X42, X43]:((~r1_xxreal_0(X43,X42)|k4_xxreal_0(X42,X43)=X42|~v1_xxreal_0(X43)|~v1_xxreal_0(X42))&(r1_xxreal_0(X43,X42)|k4_xxreal_0(X42,X43)=X43|~v1_xxreal_0(X43)|~v1_xxreal_0(X42))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])])])])).
cnf(c_0_89, plain, (r1_xxreal_0(np__1,np__2)), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r1_r2])).
cnf(c_0_90, plain, (v1_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_78])).
cnf(c_0_91, plain, (v7_ordinal1(esk1_0)), inference(spm,[status(thm)],[c_0_79, c_0_80])).
cnf(c_0_92, plain, (v7_ordinal1(esk2_0)), inference(spm,[status(thm)],[c_0_79, c_0_81])).
cnf(c_0_93, negated_conjecture, (k4_binop_1(u1_struct_0(k5_latwal_1),u2_lattices(k5_latwal_1),esk1_0,esk2_0)!=esk1_0), inference(rw,[status(thm)],[c_0_82, c_0_83])).
cnf(c_0_94, plain, (u2_lattices(k5_latwal_1)=k3_latwal_1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84, c_0_75])])).
cnf(c_0_95, plain, (k4_binop_1(k1_enumset1(k5_ordinal1,esk2_0,esk1_0),k3_latwal_1,X1,X2)=k2_latwal_1(X1,X2)|~m1_subset_1(X2,k1_enumset1(k5_ordinal1,esk2_0,esk1_0))|~m1_subset_1(X1,k1_enumset1(k5_ordinal1,esk2_0,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85, c_0_37]), c_0_38]), c_0_37]), c_0_38]), c_0_37]), c_0_38]), c_0_37]), c_0_38]), c_0_37]), c_0_38]), c_0_37]), c_0_38]), c_0_37]), c_0_38]), c_0_37]), c_0_38]), c_0_37]), c_0_38])]), c_0_51]), c_0_53]), c_0_55])])).
cnf(c_0_96, negated_conjecture, (m1_subset_1(esk2_0,k1_enumset1(k5_ordinal1,esk2_0,esk1_0))), inference(rw,[status(thm)],[c_0_30, c_0_86])).
fof(c_0_97, plain, ![X1]:((v8_ordinal1(X1)&v1_xxreal_0(X1))=>((v1_xxreal_0(X1)&~v2_xxreal_0(X1))&~v3_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc7_xxreal_0])).
cnf(c_0_98, plain, (k4_xxreal_0(X1,X2)=k2_latwal_1(X1,X2)|X2=k5_ordinal1|X2=esk1_0|~m1_subset_1(X1,k1_enumset1(k5_ordinal1,esk2_0,esk1_0))|~m1_subset_1(X2,k1_enumset1(k5_ordinal1,esk2_0,esk1_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87, c_0_38]), c_0_37]), c_0_38]), c_0_37]), c_0_38])).
cnf(c_0_99, negated_conjecture, (m1_subset_1(esk1_0,k1_enumset1(k5_ordinal1,esk2_0,esk1_0))), inference(rw,[status(thm)],[c_0_60, c_0_86])).
cnf(c_0_100, plain, (k4_xxreal_0(X2,X1)=X2|~r1_xxreal_0(X1,X2)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_101, plain, (r1_xxreal_0(esk2_0,esk1_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89, c_0_37]), c_0_38])).
cnf(c_0_102, plain, (v1_xxreal_0(esk1_0)), inference(spm,[status(thm)],[c_0_90, c_0_91])).
cnf(c_0_103, plain, (v1_xxreal_0(esk2_0)), inference(spm,[status(thm)],[c_0_90, c_0_92])).
cnf(c_0_104, negated_conjecture, (k4_binop_1(u1_struct_0(k5_latwal_1),k3_latwal_1,esk1_0,esk2_0)!=esk1_0), inference(rw,[status(thm)],[c_0_93, c_0_94])).
cnf(c_0_105, negated_conjecture, (k4_binop_1(k1_enumset1(k5_ordinal1,esk2_0,esk1_0),k3_latwal_1,X1,esk2_0)=k2_latwal_1(X1,esk2_0)|~m1_subset_1(X1,k1_enumset1(k5_ordinal1,esk2_0,esk1_0))), inference(spm,[status(thm)],[c_0_95, c_0_96])).
fof(c_0_106, plain, ![X40]:(((v1_xxreal_0(X40)|(~v8_ordinal1(X40)|~v1_xxreal_0(X40)))&(~v2_xxreal_0(X40)|(~v8_ordinal1(X40)|~v1_xxreal_0(X40))))&(~v3_xxreal_0(X40)|(~v8_ordinal1(X40)|~v1_xxreal_0(X40)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_97])])])).
cnf(c_0_107, plain, (v2_xxreal_0(np__1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_108, plain, (X1=k5_ordinal1|X2=k5_ordinal1|k2_latwal_1(X2,X1)=k4_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_76])).
cnf(c_0_109, negated_conjecture, (k4_xxreal_0(esk1_0,X1)=k2_latwal_1(esk1_0,X1)|X1=k5_ordinal1|X1=esk1_0|~m1_subset_1(X1,k1_enumset1(k5_ordinal1,esk2_0,esk1_0))), inference(spm,[status(thm)],[c_0_98, c_0_99])).
cnf(c_0_110, plain, (k4_xxreal_0(esk1_0,esk2_0)=esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_101]), c_0_102]), c_0_103])])).
cnf(c_0_111, negated_conjecture, (k4_binop_1(k1_enumset1(k5_ordinal1,esk2_0,esk1_0),k3_latwal_1,esk1_0,esk2_0)!=esk1_0), inference(rw,[status(thm)],[c_0_104, c_0_86])).
cnf(c_0_112, negated_conjecture, (k4_binop_1(k1_enumset1(k5_ordinal1,esk2_0,esk1_0),k3_latwal_1,esk1_0,esk2_0)=k2_latwal_1(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_105, c_0_99])).
cnf(c_0_113, plain, (~v2_xxreal_0(X1)|~v8_ordinal1(X1)|~v1_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_106])).
cnf(c_0_114, plain, (v2_xxreal_0(esk2_0)), inference(rw,[status(thm)],[c_0_107, c_0_37])).
cnf(c_0_115, plain, (r1_xxreal_0(X1,X2)|k4_xxreal_0(X2,X1)=X1|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_116, plain, (k4_xxreal_0(X1,X2)=k2_latwal_1(X1,X2)|X2=k5_ordinal1|X1=k5_ordinal1|~m1_subset_1(X1,k1_enumset1(k5_ordinal1,esk2_0,esk1_0))|~m1_subset_1(X2,k1_enumset1(k5_ordinal1,esk2_0,esk1_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_108, c_0_37]), c_0_38]), c_0_37]), c_0_38])).
cnf(c_0_117, negated_conjecture, (k2_latwal_1(esk1_0,esk2_0)=esk1_0|esk1_0=esk2_0|k5_ordinal1=esk2_0), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_96]), c_0_110])).
cnf(c_0_118, negated_conjecture, (k2_latwal_1(esk1_0,esk2_0)!=esk1_0), inference(rw,[status(thm)],[c_0_111, c_0_112])).
cnf(c_0_119, plain, (~v8_ordinal1(esk2_0)|~v1_xxreal_0(esk2_0)), inference(spm,[status(thm)],[c_0_113, c_0_114])).
cnf(c_0_120, plain, (k4_xxreal_0(X1,X2)=X2|k4_xxreal_0(X1,X2)=X1|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(spm,[status(thm)],[c_0_100, c_0_115])).
cnf(c_0_121, negated_conjecture, (k4_xxreal_0(esk2_0,X1)=k2_latwal_1(esk2_0,X1)|k5_ordinal1=esk2_0|X1=k5_ordinal1|~m1_subset_1(X1,k1_enumset1(k5_ordinal1,esk2_0,esk1_0))), inference(spm,[status(thm)],[c_0_116, c_0_96])).
cnf(c_0_122, plain, (v8_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc9_ordinal1])).
cnf(c_0_123, negated_conjecture, (k5_ordinal1=esk2_0|esk1_0=esk2_0), inference(sr,[status(thm)],[c_0_117, c_0_118])).
cnf(c_0_124, plain, (~v8_ordinal1(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119, c_0_103])])).
cnf(c_0_125, plain, (k4_xxreal_0(X1,X1)=X1|~v1_xxreal_0(X1)), inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_120])])).
cnf(c_0_126, negated_conjecture, (k4_xxreal_0(esk2_0,esk2_0)=k2_latwal_1(esk2_0,esk2_0)|k5_ordinal1=esk2_0), inference(spm,[status(thm)],[c_0_121, c_0_96])).
cnf(c_0_127, negated_conjecture, (esk1_0=esk2_0), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122, c_0_123]), c_0_124])).
cnf(c_0_128, negated_conjecture, (k2_latwal_1(esk2_0,esk2_0)=esk2_0|k5_ordinal1=esk2_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_126]), c_0_103])])).
cnf(c_0_129, negated_conjecture, (k2_latwal_1(esk2_0,esk2_0)!=esk2_0), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_118, c_0_127]), c_0_127])).
cnf(c_0_130, negated_conjecture, (k5_ordinal1=esk2_0), inference(sr,[status(thm)],[c_0_128, c_0_129])).
cnf(c_0_131, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_122, c_0_130]), c_0_124]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 132
# Proof object clause steps            : 90
# Proof object formula steps           : 42
# Proof object conjectures             : 33
# Proof object clause conjectures      : 30
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 35
# Proof object initial formulas used   : 22
# Proof object generating inferences   : 28
# Proof object simplifying inferences  : 126
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 22
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 54
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 53
# Processed clauses                    : 296
# ...of these trivial                  : 4
# ...subsumed                          : 13
# ...remaining for further processing  : 279
# Other redundant clauses eliminated   : 16
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 13
# Backward-rewritten                   : 151
# Generated clauses                    : 301
# ...of the previous two non-trivial   : 409
# Contextual simplify-reflections      : 4
# Paramodulations                      : 277
# Factorizations                       : 4
# 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  : 57
#    Positive orientable unit clauses  : 22
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 32
# Current number of unprocessed clauses: 213
# ...number of literals in the above   : 751
# Current number of archived formulas  : 0
# Current number of archived clauses   : 219
# Clause-clause subsumption calls (NU) : 3952
# Rec. Clause-clause subsumption calls : 1466
# Non-unit clause-clause subsumptions  : 28
# Unit Clause-clause subsumption calls : 567
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 77
# BW rewrite match successes           : 15
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 15321

# -------------------------------------------------
# User time                : 0.032 s
# System time              : 0.007 s
# Total time               : 0.039 s
# Maximum resident set size: 3572 pages
