# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_AE_CS_SP_PS_S0V
# and selection function PSelectComplexExceptRRHorn.
#
# Preprocessing time       : 0.029 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
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__l76_latwal_2', free_g3_lattices)).
fof(dt_k11_latwal_2, axiom, ((v1_funct_1(k11_latwal_2)&v1_funct_2(k11_latwal_2,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))&m1_subset_1(k11_latwal_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), file('latwal_2/latwal_2__l76_latwal_2', dt_k11_latwal_2)).
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__l76_latwal_2', dt_g3_lattices)).
fof(dt_k10_latwal_2, axiom, ((v1_funct_1(k10_latwal_2)&v1_funct_2(k10_latwal_2,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))&m1_subset_1(k10_latwal_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), file('latwal_2/latwal_2__l76_latwal_2', dt_k10_latwal_2)).
fof(d16_latwal_2, axiom, k12_latwal_2=g3_lattices(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k10_latwal_2,k11_latwal_2), file('latwal_2/latwal_2__l76_latwal_2', d16_latwal_2)).
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__l76_latwal_2', abstractness_v3_lattices)).
fof(l76_latwal_2, conjecture, ![X1]:(m1_subset_1(X1,u1_struct_0(k12_latwal_2))=>![X2]:(m1_subset_1(X2,u1_struct_0(k12_latwal_2))=>k1_binop_1(k10_latwal_2,X1,X2)=k1_binop_1(k10_latwal_2,X2,X1))), file('latwal_2/latwal_2__l76_latwal_2', l76_latwal_2)).
fof(dt_k12_latwal_2, axiom, (~(v2_struct_0(k12_latwal_2))&l3_lattices(k12_latwal_2)), file('latwal_2/latwal_2__l76_latwal_2', dt_k12_latwal_2)).
fof(redefinition_k4_binop_1, axiom, ![X1, X2, X3, X4]:(((((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))))&m1_subset_1(X3,X1))&m1_subset_1(X4,X1))=>k4_binop_1(X1,X2,X3,X4)=k1_binop_1(X2,X3,X4)), file('latwal_2/latwal_2__l76_latwal_2', redefinition_k4_binop_1)).
fof(cc2_xxreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xxreal_0(X1)), file('latwal_2/latwal_2__l76_latwal_2', cc2_xxreal_0)).
fof(cc3_latwal_2, axiom, ![X1]:(m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))=>v7_ordinal1(X1)), file('latwal_2/latwal_2__l76_latwal_2', cc3_latwal_2)).
fof(d14_latwal_2, axiom, ![X1]:(((v1_funct_1(X1)&v1_funct_2(X1,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))&m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))))=>(X1=k10_latwal_2<=>![X2]:(m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))=>![X3]:(m1_subset_1(X3,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))=>k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X1,X2,X3)=k8_latwal_2(X2,X3))))), file('latwal_2/latwal_2__l76_latwal_2', d14_latwal_2)).
fof(commutativity_k4_xxreal_0, axiom, ![X1, X2]:((v1_xxreal_0(X1)&v1_xxreal_0(X2))=>k4_xxreal_0(X1,X2)=k4_xxreal_0(X2,X1)), file('latwal_2/latwal_2__l76_latwal_2', commutativity_k4_xxreal_0)).
fof(d12_latwal_2, axiom, ![X1]:(m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))=>![X2]:(m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))=>((((X1=np__1&X2=np__3)|(X1=np__3&X2=np__1))=>k8_latwal_2(X1,X2)=np__1)&~(((~((X1=np__1&X2=np__3))&~((X1=np__3&X2=np__1)))&k8_latwal_2(X1,X2)!=k4_xxreal_0(X1,X2)))))), file('latwal_2/latwal_2__l76_latwal_2', d12_latwal_2)).
fof(c_0_14, plain, ![X49, X50, X51, X52, X53, X54]:(((X49=X52|g3_lattices(X49,X50,X51)!=g3_lattices(X52,X53,X54)|(~v1_funct_1(X50)|~v1_funct_2(X50,k2_zfmisc_1(X49,X49),X49)|~m1_subset_1(X50,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X49,X49),X49)))|~v1_funct_1(X51)|~v1_funct_2(X51,k2_zfmisc_1(X49,X49),X49)|~m1_subset_1(X51,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X49,X49),X49)))))&(X50=X53|g3_lattices(X49,X50,X51)!=g3_lattices(X52,X53,X54)|(~v1_funct_1(X50)|~v1_funct_2(X50,k2_zfmisc_1(X49,X49),X49)|~m1_subset_1(X50,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X49,X49),X49)))|~v1_funct_1(X51)|~v1_funct_2(X51,k2_zfmisc_1(X49,X49),X49)|~m1_subset_1(X51,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X49,X49),X49))))))&(X51=X54|g3_lattices(X49,X50,X51)!=g3_lattices(X52,X53,X54)|(~v1_funct_1(X50)|~v1_funct_2(X50,k2_zfmisc_1(X49,X49),X49)|~m1_subset_1(X50,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X49,X49),X49)))|~v1_funct_1(X51)|~v1_funct_2(X51,k2_zfmisc_1(X49,X49),X49)|~m1_subset_1(X51,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X49,X49),X49)))))), 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_15, 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_14])).
cnf(c_0_16, plain, (m1_subset_1(k11_latwal_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), inference(split_conjunct,[status(thm)],[dt_k11_latwal_2])).
cnf(c_0_17, plain, (v1_funct_2(k11_latwal_2,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[dt_k11_latwal_2])).
cnf(c_0_18, plain, (v1_funct_1(k11_latwal_2)), inference(split_conjunct,[status(thm)],[dt_k11_latwal_2])).
fof(c_0_19, plain, ![X46, X47, X48]:((v3_lattices(g3_lattices(X46,X47,X48))|(~v1_funct_1(X47)|~v1_funct_2(X47,k2_zfmisc_1(X46,X46),X46)|~m1_subset_1(X47,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X46,X46),X46)))|~v1_funct_1(X48)|~v1_funct_2(X48,k2_zfmisc_1(X46,X46),X46)|~m1_subset_1(X48,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X46,X46),X46)))))&(l3_lattices(g3_lattices(X46,X47,X48))|(~v1_funct_1(X47)|~v1_funct_2(X47,k2_zfmisc_1(X46,X46),X46)|~m1_subset_1(X47,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X46,X46),X46)))|~v1_funct_1(X48)|~v1_funct_2(X48,k2_zfmisc_1(X46,X46),X46)|~m1_subset_1(X48,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X46,X46),X46)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_lattices])])])).
cnf(c_0_20, plain, (k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)=X1|g3_lattices(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X2,k11_latwal_2)!=g3_lattices(X1,X3,X4)|~v1_funct_2(X2,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~v1_funct_1(X2)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_17]), c_0_18])])).
cnf(c_0_21, plain, (m1_subset_1(k10_latwal_2,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), inference(split_conjunct,[status(thm)],[dt_k10_latwal_2])).
cnf(c_0_22, plain, (k12_latwal_2=g3_lattices(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k10_latwal_2,k11_latwal_2)), inference(split_conjunct,[status(thm)],[d16_latwal_2])).
cnf(c_0_23, plain, (v1_funct_2(k10_latwal_2,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[dt_k10_latwal_2])).
cnf(c_0_24, plain, (v1_funct_1(k10_latwal_2)), inference(split_conjunct,[status(thm)],[dt_k10_latwal_2])).
fof(c_0_25, plain, ![X34]:(~l3_lattices(X34)|(~v3_lattices(X34)|X34=g3_lattices(u1_struct_0(X34),u2_lattices(X34),u1_lattices(X34)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])])).
cnf(c_0_26, 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_19])).
fof(c_0_27, negated_conjecture, ~(![X1]:(m1_subset_1(X1,u1_struct_0(k12_latwal_2))=>![X2]:(m1_subset_1(X2,u1_struct_0(k12_latwal_2))=>k1_binop_1(k10_latwal_2,X1,X2)=k1_binop_1(k10_latwal_2,X2,X1)))), inference(assume_negation,[status(cth)],[l76_latwal_2])).
cnf(c_0_28, plain, (k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)=X1|g3_lattices(X1,X2,X3)!=k12_latwal_2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22]), c_0_23]), c_0_24])])).
cnf(c_0_29, 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_25])).
cnf(c_0_30, plain, (v3_lattices(g3_lattices(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k10_latwal_2,X1))|~v1_funct_2(X1,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_21]), c_0_23]), c_0_24])])).
fof(c_0_31, plain, (~v2_struct_0(k12_latwal_2)&l3_lattices(k12_latwal_2)), inference(fof_simplification,[status(thm)],[dt_k12_latwal_2])).
fof(c_0_32, plain, ![X55, X56, X57, X58]:(~v1_funct_1(X56)|~v1_funct_2(X56,k2_zfmisc_1(X55,X55),X55)|~m1_subset_1(X56,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X55,X55),X55)))|~m1_subset_1(X57,X55)|~m1_subset_1(X58,X55)|k4_binop_1(X55,X56,X57,X58)=k1_binop_1(X56,X57,X58)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_binop_1])])).
fof(c_0_33, plain, ![X35]:(~v7_ordinal1(X35)|v1_xxreal_0(X35)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xxreal_0])])).
fof(c_0_34, plain, ![X36]:(~m1_subset_1(X36,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|v7_ordinal1(X36)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_latwal_2])])).
fof(c_0_35, negated_conjecture, (m1_subset_1(esk1_0,u1_struct_0(k12_latwal_2))&(m1_subset_1(esk2_0,u1_struct_0(k12_latwal_2))&k1_binop_1(k10_latwal_2,esk1_0,esk2_0)!=k1_binop_1(k10_latwal_2,esk2_0,esk1_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])).
cnf(c_0_36, plain, (u1_struct_0(X1)=k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)|X1!=k12_latwal_2|~v3_lattices(X1)|~l3_lattices(X1)), inference(spm,[status(thm)],[c_0_28, c_0_29])).
cnf(c_0_37, plain, (v3_lattices(k12_latwal_2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_16]), c_0_22]), c_0_17]), c_0_18])])).
cnf(c_0_38, plain, (l3_lattices(k12_latwal_2)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_39, plain, (k4_binop_1(X2,X1,X3,X4)=k1_binop_1(X1,X3,X4)|~v1_funct_1(X1)|~v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(X2,X2),X2)))|~m1_subset_1(X3,X2)|~m1_subset_1(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_32])).
fof(c_0_40, plain, ![X41, X42, X43]:((X41!=k10_latwal_2|(~m1_subset_1(X42,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|(~m1_subset_1(X43,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X41,X42,X43)=k8_latwal_2(X42,X43)))|(~v1_funct_1(X41)|~v1_funct_2(X41,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X41,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))))&((m1_subset_1(esk3_1(X41),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|X41=k10_latwal_2|(~v1_funct_1(X41)|~v1_funct_2(X41,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X41,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))))&((m1_subset_1(esk4_1(X41),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|X41=k10_latwal_2|(~v1_funct_1(X41)|~v1_funct_2(X41,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X41,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))))&(k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X41,esk3_1(X41),esk4_1(X41))!=k8_latwal_2(esk3_1(X41),esk4_1(X41))|X41=k10_latwal_2|(~v1_funct_1(X41)|~v1_funct_2(X41,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X41,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d14_latwal_2])])])])])).
cnf(c_0_41, plain, (v1_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_42, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_43, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k12_latwal_2))), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_44, plain, (u1_struct_0(k12_latwal_2)=k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38])])).
cnf(c_0_45, plain, (k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k10_latwal_2,X1,X2)=k1_binop_1(k10_latwal_2,X1,X2)|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_21]), c_0_23]), c_0_24])])).
cnf(c_0_46, plain, (k4_binop_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),X1,X2,X3)=k8_latwal_2(X2,X3)|X1!=k10_latwal_2|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X3,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~v1_funct_1(X1)|~v1_funct_2(X1,k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)),k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))), inference(split_conjunct,[status(thm)],[c_0_40])).
fof(c_0_47, plain, ![X37, X38]:(~v1_xxreal_0(X37)|~v1_xxreal_0(X38)|k4_xxreal_0(X37,X38)=k4_xxreal_0(X38,X37)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k4_xxreal_0])])).
cnf(c_0_48, plain, (v1_xxreal_0(X1)|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_41, c_0_42])).
cnf(c_0_49, negated_conjecture, (m1_subset_1(esk2_0,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(rw,[status(thm)],[c_0_43, c_0_44])).
cnf(c_0_50, negated_conjecture, (m1_subset_1(esk1_0,u1_struct_0(k12_latwal_2))), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_51, negated_conjecture, (k1_binop_1(k10_latwal_2,esk1_0,esk2_0)!=k1_binop_1(k10_latwal_2,esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_52, plain, (k1_binop_1(k10_latwal_2,X1,X2)=k8_latwal_2(X1,X2)|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_23]), c_0_24]), c_0_21])])).
cnf(c_0_53, plain, (k4_xxreal_0(X1,X2)=k4_xxreal_0(X2,X1)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_54, negated_conjecture, (v1_xxreal_0(esk2_0)), inference(spm,[status(thm)],[c_0_48, c_0_49])).
cnf(c_0_55, negated_conjecture, (m1_subset_1(esk1_0,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(rw,[status(thm)],[c_0_50, c_0_44])).
cnf(c_0_56, negated_conjecture, (k1_binop_1(k10_latwal_2,esk1_0,esk2_0)!=k8_latwal_2(esk2_0,esk1_0)|~m1_subset_1(esk1_0,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(esk2_0,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_51, c_0_52])).
fof(c_0_57, plain, ![X39, X40]:(((X39!=np__1|X40!=np__3|k8_latwal_2(X39,X40)=np__1|~m1_subset_1(X40,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X39,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))&(X39!=np__3|X40!=np__1|k8_latwal_2(X39,X40)=np__1|~m1_subset_1(X40,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X39,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))&(((X39=np__3|X39=np__1|k8_latwal_2(X39,X40)=k4_xxreal_0(X39,X40)|~m1_subset_1(X40,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X39,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))&(X40=np__1|X39=np__1|k8_latwal_2(X39,X40)=k4_xxreal_0(X39,X40)|~m1_subset_1(X40,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X39,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))))&((X39=np__3|X40=np__3|k8_latwal_2(X39,X40)=k4_xxreal_0(X39,X40)|~m1_subset_1(X40,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X39,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))&(X40=np__1|X40=np__3|k8_latwal_2(X39,X40)=k4_xxreal_0(X39,X40)|~m1_subset_1(X40,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X39,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d12_latwal_2])])])])).
cnf(c_0_58, negated_conjecture, (k4_xxreal_0(esk2_0,X1)=k4_xxreal_0(X1,esk2_0)|~v1_xxreal_0(X1)), inference(spm,[status(thm)],[c_0_53, c_0_54])).
cnf(c_0_59, negated_conjecture, (v1_xxreal_0(esk1_0)), inference(spm,[status(thm)],[c_0_48, c_0_55])).
cnf(c_0_60, negated_conjecture, (k8_latwal_2(esk2_0,esk1_0)!=k8_latwal_2(esk1_0,esk2_0)|~m1_subset_1(esk1_0,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(esk2_0,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_56, c_0_52])).
cnf(c_0_61, plain, (X1=np__1|X1=np__3|k8_latwal_2(X2,X1)=k4_xxreal_0(X2,X1)|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_62, negated_conjecture, (k4_xxreal_0(esk2_0,esk1_0)=k4_xxreal_0(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_58, c_0_59])).
cnf(c_0_63, negated_conjecture, (k8_latwal_2(esk2_0,esk1_0)!=k8_latwal_2(esk1_0,esk2_0)|~m1_subset_1(esk1_0,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_49])])).
cnf(c_0_64, plain, (k8_latwal_2(X1,X2)=np__1|X1!=np__3|X2!=np__1|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_65, plain, (k8_latwal_2(X1,X2)=np__1|X1!=np__1|X2!=np__3|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_66, plain, (X1=np__3|X1=np__1|k8_latwal_2(X1,X2)=k4_xxreal_0(X1,X2)|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_67, negated_conjecture, (k4_xxreal_0(esk1_0,esk2_0)=k8_latwal_2(esk2_0,esk1_0)|esk1_0=np__3|esk1_0=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_49]), c_0_55])])).
cnf(c_0_68, negated_conjecture, (k8_latwal_2(esk2_0,esk1_0)!=k8_latwal_2(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63, c_0_55])])).
cnf(c_0_69, negated_conjecture, (k8_latwal_2(esk2_0,X1)=np__1|esk2_0!=np__3|X1!=np__1|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_64, c_0_49])).
cnf(c_0_70, negated_conjecture, (k8_latwal_2(X1,esk2_0)=np__1|esk2_0!=np__3|X1!=np__1|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_65, c_0_49])).
cnf(c_0_71, plain, (X1=np__3|X2=np__3|k8_latwal_2(X1,X2)=k4_xxreal_0(X1,X2)|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_72, negated_conjecture, (esk1_0=np__3|esk1_0=np__1), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_67]), c_0_49]), c_0_55])]), c_0_68])).
cnf(c_0_73, negated_conjecture, (k4_xxreal_0(esk1_0,esk2_0)=k8_latwal_2(esk2_0,esk1_0)|esk2_0=np__3|esk2_0=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_62]), c_0_55]), c_0_49])])).
cnf(c_0_74, plain, (X1=np__1|X2=np__1|k8_latwal_2(X2,X1)=k4_xxreal_0(X2,X1)|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))|~m1_subset_1(X2,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_75, negated_conjecture, (k8_latwal_2(esk2_0,esk1_0)=np__1|esk2_0!=np__3|esk1_0!=np__1), inference(spm,[status(thm)],[c_0_69, c_0_55])).
cnf(c_0_76, negated_conjecture, (k8_latwal_2(esk1_0,esk2_0)=np__1|esk2_0!=np__3|esk1_0!=np__1), inference(spm,[status(thm)],[c_0_70, c_0_55])).
cnf(c_0_77, negated_conjecture, (k4_xxreal_0(esk1_0,esk2_0)=k8_latwal_2(esk2_0,esk1_0)|esk2_0=np__3|esk1_0=np__3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_62]), c_0_55]), c_0_49])])).
cnf(c_0_78, negated_conjecture, (esk1_0=np__1|np__3!=np__1), inference(ef,[status(thm)],[c_0_72])).
cnf(c_0_79, negated_conjecture, (esk2_0=np__3|esk2_0=np__1), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_73]), c_0_55]), c_0_49])]), c_0_68])).
cnf(c_0_80, negated_conjecture, (k4_xxreal_0(esk1_0,esk2_0)=k8_latwal_2(esk2_0,esk1_0)|esk1_0=np__1|esk2_0=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_62]), c_0_49]), c_0_55])])).
cnf(c_0_81, negated_conjecture, (k8_latwal_2(X1,esk2_0)=np__1|esk2_0!=np__1|X1!=np__3|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_64, c_0_49])).
cnf(c_0_82, negated_conjecture, (esk2_0!=np__3|esk1_0!=np__1), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_75]), c_0_76])).
cnf(c_0_83, negated_conjecture, (esk1_0=np__3|esk2_0=np__3), 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_77]), c_0_49]), c_0_55])]), c_0_68])).
cnf(c_0_84, negated_conjecture, (k1_binop_1(k10_latwal_2,esk2_0,np__1)!=k1_binop_1(k10_latwal_2,np__1,esk2_0)|np__3!=np__1), inference(spm,[status(thm)],[c_0_51, c_0_78])).
cnf(c_0_85, negated_conjecture, (esk2_0=np__1|np__3!=np__1), inference(ef,[status(thm)],[c_0_79])).
cnf(c_0_86, negated_conjecture, (esk2_0=np__1|esk1_0=np__1), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_80]), c_0_55]), c_0_49])]), c_0_68])).
cnf(c_0_87, negated_conjecture, (k8_latwal_2(esk1_0,esk2_0)=np__1|esk2_0!=np__1|esk1_0!=np__3), inference(spm,[status(thm)],[c_0_81, c_0_55])).
cnf(c_0_88, negated_conjecture, (esk1_0=np__1|m1_subset_1(np__3,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_55, c_0_72])).
cnf(c_0_89, negated_conjecture, (esk1_0=np__3), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_83]), c_0_72])).
cnf(c_0_90, negated_conjecture, (np__3!=np__1), inference(spm,[status(thm)],[c_0_84, c_0_85])).
cnf(c_0_91, negated_conjecture, (esk1_0=np__1|k8_latwal_2(esk1_0,np__1)!=k8_latwal_2(np__1,esk1_0)), inference(spm,[status(thm)],[c_0_68, c_0_86])).
cnf(c_0_92, negated_conjecture, (k8_latwal_2(esk1_0,np__1)=np__1|esk1_0=np__1), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_86]), c_0_72])).
cnf(c_0_93, negated_conjecture, (m1_subset_1(np__3,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_88, c_0_89]), c_0_90])).
cnf(c_0_94, negated_conjecture, (esk1_0=np__1|m1_subset_1(np__1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_49, c_0_86])).
cnf(c_0_95, negated_conjecture, (esk1_0=np__1|k8_latwal_2(np__1,esk1_0)!=np__1), inference(spm,[status(thm)],[c_0_91, c_0_92])).
cnf(c_0_96, negated_conjecture, (k8_latwal_2(X1,np__3)=np__1|X1!=np__1|~m1_subset_1(X1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(spm,[status(thm)],[c_0_65, c_0_93])).
cnf(c_0_97, negated_conjecture, (m1_subset_1(np__1,k3_enumset1(k5_ordinal1,np__1,np__2,np__3,np__4))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_94, c_0_89]), c_0_90])).
cnf(c_0_98, negated_conjecture, (k8_latwal_2(np__1,np__3)!=np__1), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95, c_0_89]), c_0_89]), c_0_90])).
cnf(c_0_99, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_97]), c_0_98]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 100
# Proof object clause steps            : 74
# Proof object formula steps           : 26
# Proof object conjectures             : 46
# Proof object clause conjectures      : 43
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 25
# Proof object initial formulas used   : 14
# Proof object generating inferences   : 42
# Proof object simplifying inferences  : 68
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 14
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 32
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 32
# Processed clauses                    : 668
# ...of these trivial                  : 26
# ...subsumed                          : 328
# ...remaining for further processing  : 314
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 15
# Backward-rewritten                   : 107
# Generated clauses                    : 879
# ...of the previous two non-trivial   : 905
# Contextual simplify-reflections      : 18
# Paramodulations                      : 860
# Factorizations                       : 3
# NegExts                              : 0
# Equation resolutions                 : 16
# 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  : 160
#    Positive orientable unit clauses  : 31
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 6
#    Non-unit-clauses                  : 123
# Current number of unprocessed clauses: 258
# ...number of literals in the above   : 1035
# Current number of archived formulas  : 0
# Current number of archived clauses   : 154
# Clause-clause subsumption calls (NU) : 12723
# Rec. Clause-clause subsumption calls : 3670
# Non-unit clause-clause subsumptions  : 260
# Unit Clause-clause subsumption calls : 872
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 18
# BW rewrite match successes           : 8
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 31747

# -------------------------------------------------
# User time                : 0.052 s
# System time              : 0.011 s
# Total time               : 0.063 s
# Maximum resident set size: 3468 pages
