# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
# and selection function SelectNewComplexAHP.
#
# Preprocessing time       : 0.018 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t6_boole, axiom, ![X1]:(v1_xboole_0(X1)=>X1=k1_xboole_0), file('number14/number14__t25_number14', t6_boole)).
fof(d13_ordinal1, axiom, k5_ordinal1=k1_xboole_0, file('number14/number14__t25_number14', d13_ordinal1)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('number14/number14__t25_number14', redefinition_k5_numbers)).
fof(spc0_boole, axiom, v1_xboole_0(np__0), file('number14/number14__t25_number14', spc0_boole)).
fof(redefinition_k1_nat_1, axiom, ![X1, X2]:((v7_ordinal1(X1)&m1_subset_1(X2,k4_ordinal1))=>k1_nat_1(X1,X2)=k2_xcmplx_0(X1,X2)), file('number14/number14__t25_number14', redefinition_k1_nat_1)).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0,k4_ordinal1), file('number14/number14__t25_number14', t1_numerals)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('number14/number14__t25_number14', cc8_ordinal1)).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(np__1,np__0)=np__1, file('number14/number14__t25_number14', rqRealAdd__k2_xcmplx_0__r1_r0_r1)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('number14/number14__t25_number14', spc1_numerals)).
fof(commutativity_k1_nat_1, axiom, ![X1, X2]:((v7_ordinal1(X1)&m1_subset_1(X2,k4_ordinal1))=>k1_nat_1(X1,X2)=k1_nat_1(X2,X1)), file('number14/number14__t25_number14', commutativity_k1_nat_1)).
fof(reflexivity_r1_xxreal_0, axiom, ![X1, X2]:((v1_xxreal_0(X1)&v1_xxreal_0(X2))=>r1_xxreal_0(X1,X1)), file('number14/number14__t25_number14', reflexivity_r1_xxreal_0)).
fof(rc2_xxreal_0, axiom, ?[X1]:v1_xxreal_0(X1), file('number14/number14__t25_number14', rc2_xxreal_0)).
fof(t13_nat_1, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>(~(r1_xxreal_0(k1_nat_1(X2,np__1),X1))<=>r1_xxreal_0(X1,X2)))), file('number14/number14__t25_number14', t13_nat_1)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1), file('number14/number14__t25_number14', fc8_ordinal1)).
fof(cc2_xxreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xxreal_0(X1)), file('number14/number14__t25_number14', cc2_xxreal_0)).
fof(dt_k3_finseq_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>m1_subset_1(k3_finseq_1(X1),k4_ordinal1)), file('number14/number14__t25_number14', dt_k3_finseq_1)).
fof(t25_finseq_3, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>![X2]:(v7_ordinal1(X2)=>(r2_tarski(X2,k1_relset_1(k4_ordinal1,X1))<=>(r1_xxreal_0(np__1,X2)&r1_xxreal_0(X2,k3_finseq_1(X1)))))), file('number14/number14__t25_number14', t25_finseq_3)).
fof(redefinition_k1_relset_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v4_relat_1(X2,X1))=>k1_relset_1(X1,X2)=k9_xtuple_0(X2)), file('number14/number14__t25_number14', redefinition_k1_relset_1)).
fof(cc5_finseq_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>(((v1_relat_1(X1)&v4_relat_1(X1,k4_ordinal1))&v1_funct_1(X1))&v1_finseq_1(X1))), file('number14/number14__t25_number14', cc5_finseq_1)).
fof(d1_rfinseq2, axiom, ![X1]:((((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))&v3_valued_0(X1))=>![X2]:(v7_ordinal1(X2)=>(X2=k1_rfinseq2(X1)<=>((k3_finseq_1(X1)=k5_numbers=>X2=k5_numbers)&(~(r1_xxreal_0(k3_finseq_1(X1),k5_numbers))=>((r2_tarski(X2,k4_finseq_1(X1))&![X3]:(v7_ordinal1(X3)=>(r2_tarski(X3,k4_finseq_1(X1))=>r1_xxreal_0(k1_funct_1(X1,X3),k1_funct_1(X1,X2)))))&![X3]:(v7_ordinal1(X3)=>((r2_tarski(X3,k4_finseq_1(X1))&k1_funct_1(X1,X3)=k1_funct_1(X1,X2))=>r1_xxreal_0(X2,X3))))))))), file('number14/number14__t25_number14', d1_rfinseq2)).
fof(dt_k1_rfinseq2, axiom, ![X1]:((((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))&v3_valued_0(X1))=>v7_ordinal1(k1_rfinseq2(X1))), file('number14/number14__t25_number14', dt_k1_rfinseq2)).
fof(redefinition_k4_finseq_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>k4_finseq_1(X1)=k9_xtuple_0(X1)), file('number14/number14__t25_number14', redefinition_k4_finseq_1)).
fof(t25_number14, conjecture, ![X1]:(((((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))&v3_valued_0(X1))&v7_valued_0(X1))=>k1_rfinseq2(X1)=k3_finseq_1(X1)), file('number14/number14__t25_number14', t25_number14)).
fof(d13_valued_0, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v2_valued_0(X1))=>(v7_valued_0(X1)<=>![X2]:(v1_xxreal_0(X2)=>![X3]:(v1_xxreal_0(X3)=>~((((r2_hidden(X2,k9_xtuple_0(X1))&r2_hidden(X3,k9_xtuple_0(X1)))&~(r1_xxreal_0(X3,X2)))&r1_xxreal_0(k1_funct_1(X1,X3),k1_funct_1(X1,X2)))))))), file('number14/number14__t25_number14', d13_valued_0)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('number14/number14__t25_number14', redefinition_r2_tarski)).
fof(cc5_valued_0, axiom, ![X1]:((v1_relat_1(X1)&v3_valued_0(X1))=>(v1_relat_1(X1)&v2_valued_0(X1))), file('number14/number14__t25_number14', cc5_valued_0)).
fof(t1_xxreal_0, axiom, ![X1]:(v1_xxreal_0(X1)=>![X2]:(v1_xxreal_0(X2)=>((r1_xxreal_0(X1,X2)&r1_xxreal_0(X2,X1))=>X1=X2))), file('number14/number14__t25_number14', t1_xxreal_0)).
fof(c_0_27, plain, ![X69]:(~v1_xboole_0(X69)|X69=k1_xboole_0), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])])).
cnf(c_0_28, plain, (k5_ordinal1=k1_xboole_0), inference(split_conjunct,[status(thm)],[d13_ordinal1])).
cnf(c_0_29, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
cnf(c_0_30, plain, (X1=k1_xboole_0|~v1_xboole_0(X1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_31, plain, (k1_xboole_0=k5_numbers), inference(rw,[status(thm)],[c_0_28, c_0_29])).
cnf(c_0_32, plain, (X1=k5_numbers|~v1_xboole_0(X1)), inference(rw,[status(thm)],[c_0_30, c_0_31])).
cnf(c_0_33, plain, (v1_xboole_0(np__0)), inference(split_conjunct,[status(thm)],[spc0_boole])).
fof(c_0_34, plain, ![X54, X55]:(~v7_ordinal1(X54)|~m1_subset_1(X55,k4_ordinal1)|k1_nat_1(X54,X55)=k2_xcmplx_0(X54,X55)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_nat_1])])).
cnf(c_0_35, plain, (m1_subset_1(k1_xboole_0,k4_ordinal1)), inference(split_conjunct,[status(thm)],[t1_numerals])).
fof(c_0_36, 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_37, plain, (k2_xcmplx_0(np__1,np__0)=np__1), inference(split_conjunct,[status(thm)],[rqRealAdd__k2_xcmplx_0__r1_r0_r1])).
cnf(c_0_38, plain, (np__0=k5_numbers), inference(spm,[status(thm)],[c_0_32, c_0_33])).
cnf(c_0_39, plain, (k1_nat_1(X1,X2)=k2_xcmplx_0(X1,X2)|~v7_ordinal1(X1)|~m1_subset_1(X2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_40, plain, (m1_subset_1(k5_numbers,k4_ordinal1)), inference(rw,[status(thm)],[c_0_35, c_0_31])).
cnf(c_0_41, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_42, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
fof(c_0_43, plain, ![X42, X43]:(~v7_ordinal1(X42)|~m1_subset_1(X43,k4_ordinal1)|k1_nat_1(X42,X43)=k1_nat_1(X43,X42)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k1_nat_1])])).
fof(c_0_44, plain, ![X61, X62]:(~v1_xxreal_0(X61)|~v1_xxreal_0(X62)|r1_xxreal_0(X61,X61)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[reflexivity_r1_xxreal_0])])).
fof(c_0_45, plain, v1_xxreal_0(esk4_0), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc2_xxreal_0])])).
fof(c_0_46, plain, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>(~r1_xxreal_0(k1_nat_1(X2,np__1),X1)<=>r1_xxreal_0(X1,X2)))), inference(fof_simplification,[status(thm)],[t13_nat_1])).
cnf(c_0_47, plain, (k2_xcmplx_0(np__1,k5_numbers)=np__1), inference(rw,[status(thm)],[c_0_37, c_0_38])).
cnf(c_0_48, plain, (k2_xcmplx_0(X1,k5_numbers)=k1_nat_1(X1,k5_numbers)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_39, c_0_40])).
cnf(c_0_49, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_41, c_0_42])).
cnf(c_0_50, plain, (k1_nat_1(X1,X2)=k1_nat_1(X2,X1)|~v7_ordinal1(X1)|~m1_subset_1(X2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_51, plain, (v7_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc8_ordinal1])).
cnf(c_0_52, plain, (r1_xxreal_0(X1,X1)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_53, plain, (v1_xxreal_0(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_45])).
fof(c_0_54, plain, ![X38]:(~v7_ordinal1(X38)|v1_xxreal_0(X38)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xxreal_0])])).
fof(c_0_55, plain, ![X1, X2]:(epred1_2(X2,X1)<=>((k3_finseq_1(X1)=k5_numbers=>X2=k5_numbers)&(~r1_xxreal_0(k3_finseq_1(X1),k5_numbers)=>((r2_tarski(X2,k4_finseq_1(X1))&![X3]:(v7_ordinal1(X3)=>(r2_tarski(X3,k4_finseq_1(X1))=>r1_xxreal_0(k1_funct_1(X1,X3),k1_funct_1(X1,X2)))))&![X3]:(v7_ordinal1(X3)=>((r2_tarski(X3,k4_finseq_1(X1))&k1_funct_1(X1,X3)=k1_funct_1(X1,X2))=>r1_xxreal_0(X2,X3))))))), introduced(definition)).
fof(c_0_56, plain, ![X63, X64]:((r1_xxreal_0(k1_nat_1(X64,np__1),X63)|r1_xxreal_0(X63,X64)|~v7_ordinal1(X64)|~v7_ordinal1(X63))&(~r1_xxreal_0(X63,X64)|~r1_xxreal_0(k1_nat_1(X64,np__1),X63)|~v7_ordinal1(X64)|~v7_ordinal1(X63))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])])).
cnf(c_0_57, plain, (k1_nat_1(np__1,k5_numbers)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_49])])).
cnf(c_0_58, plain, (k1_nat_1(X1,np__1)=k1_nat_1(np__1,X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_50, c_0_42])).
cnf(c_0_59, plain, (v7_ordinal1(k5_numbers)), inference(rw,[status(thm)],[c_0_51, c_0_29])).
fof(c_0_60, plain, ![X52]:(~v1_relat_1(X52)|~v1_funct_1(X52)|~v1_finseq_1(X52)|m1_subset_1(k3_finseq_1(X52),k4_ordinal1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_finseq_1])])).
cnf(c_0_61, plain, (r1_xxreal_0(X1,X1)|~v1_xxreal_0(X1)), inference(spm,[status(thm)],[c_0_52, c_0_53])).
cnf(c_0_62, plain, (v1_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_54])).
fof(c_0_63, plain, ![X70, X71, X72, X73, X74, X75]:(((k3_finseq_1(X70)!=k5_numbers|X71=k5_numbers|~epred1_2(X71,X70))&(((r2_tarski(X71,k4_finseq_1(X70))|r1_xxreal_0(k3_finseq_1(X70),k5_numbers)|~epred1_2(X71,X70))&(~v7_ordinal1(X72)|(~r2_tarski(X72,k4_finseq_1(X70))|r1_xxreal_0(k1_funct_1(X70,X72),k1_funct_1(X70,X71)))|r1_xxreal_0(k3_finseq_1(X70),k5_numbers)|~epred1_2(X71,X70)))&(~v7_ordinal1(X73)|(~r2_tarski(X73,k4_finseq_1(X70))|k1_funct_1(X70,X73)!=k1_funct_1(X70,X71)|r1_xxreal_0(X71,X73))|r1_xxreal_0(k3_finseq_1(X70),k5_numbers)|~epred1_2(X71,X70))))&(((~r1_xxreal_0(k3_finseq_1(X74),k5_numbers)|k3_finseq_1(X74)=k5_numbers|epred1_2(X75,X74))&(((v7_ordinal1(esk6_2(X74,X75))|(v7_ordinal1(esk5_2(X74,X75))|~r2_tarski(X75,k4_finseq_1(X74)))|k3_finseq_1(X74)=k5_numbers|epred1_2(X75,X74))&(((r2_tarski(esk6_2(X74,X75),k4_finseq_1(X74))|(v7_ordinal1(esk5_2(X74,X75))|~r2_tarski(X75,k4_finseq_1(X74)))|k3_finseq_1(X74)=k5_numbers|epred1_2(X75,X74))&(k1_funct_1(X74,esk6_2(X74,X75))=k1_funct_1(X74,X75)|(v7_ordinal1(esk5_2(X74,X75))|~r2_tarski(X75,k4_finseq_1(X74)))|k3_finseq_1(X74)=k5_numbers|epred1_2(X75,X74)))&(~r1_xxreal_0(X75,esk6_2(X74,X75))|(v7_ordinal1(esk5_2(X74,X75))|~r2_tarski(X75,k4_finseq_1(X74)))|k3_finseq_1(X74)=k5_numbers|epred1_2(X75,X74))))&(((v7_ordinal1(esk6_2(X74,X75))|(r2_tarski(esk5_2(X74,X75),k4_finseq_1(X74))|~r2_tarski(X75,k4_finseq_1(X74)))|k3_finseq_1(X74)=k5_numbers|epred1_2(X75,X74))&(((r2_tarski(esk6_2(X74,X75),k4_finseq_1(X74))|(r2_tarski(esk5_2(X74,X75),k4_finseq_1(X74))|~r2_tarski(X75,k4_finseq_1(X74)))|k3_finseq_1(X74)=k5_numbers|epred1_2(X75,X74))&(k1_funct_1(X74,esk6_2(X74,X75))=k1_funct_1(X74,X75)|(r2_tarski(esk5_2(X74,X75),k4_finseq_1(X74))|~r2_tarski(X75,k4_finseq_1(X74)))|k3_finseq_1(X74)=k5_numbers|epred1_2(X75,X74)))&(~r1_xxreal_0(X75,esk6_2(X74,X75))|(r2_tarski(esk5_2(X74,X75),k4_finseq_1(X74))|~r2_tarski(X75,k4_finseq_1(X74)))|k3_finseq_1(X74)=k5_numbers|epred1_2(X75,X74))))&((v7_ordinal1(esk6_2(X74,X75))|(~r1_xxreal_0(k1_funct_1(X74,esk5_2(X74,X75)),k1_funct_1(X74,X75))|~r2_tarski(X75,k4_finseq_1(X74)))|k3_finseq_1(X74)=k5_numbers|epred1_2(X75,X74))&(((r2_tarski(esk6_2(X74,X75),k4_finseq_1(X74))|(~r1_xxreal_0(k1_funct_1(X74,esk5_2(X74,X75)),k1_funct_1(X74,X75))|~r2_tarski(X75,k4_finseq_1(X74)))|k3_finseq_1(X74)=k5_numbers|epred1_2(X75,X74))&(k1_funct_1(X74,esk6_2(X74,X75))=k1_funct_1(X74,X75)|(~r1_xxreal_0(k1_funct_1(X74,esk5_2(X74,X75)),k1_funct_1(X74,X75))|~r2_tarski(X75,k4_finseq_1(X74)))|k3_finseq_1(X74)=k5_numbers|epred1_2(X75,X74)))&(~r1_xxreal_0(X75,esk6_2(X74,X75))|(~r1_xxreal_0(k1_funct_1(X74,esk5_2(X74,X75)),k1_funct_1(X74,X75))|~r2_tarski(X75,k4_finseq_1(X74)))|k3_finseq_1(X74)=k5_numbers|epred1_2(X75,X74)))))))&((~r1_xxreal_0(k3_finseq_1(X74),k5_numbers)|X75!=k5_numbers|epred1_2(X75,X74))&(((v7_ordinal1(esk6_2(X74,X75))|(v7_ordinal1(esk5_2(X74,X75))|~r2_tarski(X75,k4_finseq_1(X74)))|X75!=k5_numbers|epred1_2(X75,X74))&(((r2_tarski(esk6_2(X74,X75),k4_finseq_1(X74))|(v7_ordinal1(esk5_2(X74,X75))|~r2_tarski(X75,k4_finseq_1(X74)))|X75!=k5_numbers|epred1_2(X75,X74))&(k1_funct_1(X74,esk6_2(X74,X75))=k1_funct_1(X74,X75)|(v7_ordinal1(esk5_2(X74,X75))|~r2_tarski(X75,k4_finseq_1(X74)))|X75!=k5_numbers|epred1_2(X75,X74)))&(~r1_xxreal_0(X75,esk6_2(X74,X75))|(v7_ordinal1(esk5_2(X74,X75))|~r2_tarski(X75,k4_finseq_1(X74)))|X75!=k5_numbers|epred1_2(X75,X74))))&(((v7_ordinal1(esk6_2(X74,X75))|(r2_tarski(esk5_2(X74,X75),k4_finseq_1(X74))|~r2_tarski(X75,k4_finseq_1(X74)))|X75!=k5_numbers|epred1_2(X75,X74))&(((r2_tarski(esk6_2(X74,X75),k4_finseq_1(X74))|(r2_tarski(esk5_2(X74,X75),k4_finseq_1(X74))|~r2_tarski(X75,k4_finseq_1(X74)))|X75!=k5_numbers|epred1_2(X75,X74))&(k1_funct_1(X74,esk6_2(X74,X75))=k1_funct_1(X74,X75)|(r2_tarski(esk5_2(X74,X75),k4_finseq_1(X74))|~r2_tarski(X75,k4_finseq_1(X74)))|X75!=k5_numbers|epred1_2(X75,X74)))&(~r1_xxreal_0(X75,esk6_2(X74,X75))|(r2_tarski(esk5_2(X74,X75),k4_finseq_1(X74))|~r2_tarski(X75,k4_finseq_1(X74)))|X75!=k5_numbers|epred1_2(X75,X74))))&((v7_ordinal1(esk6_2(X74,X75))|(~r1_xxreal_0(k1_funct_1(X74,esk5_2(X74,X75)),k1_funct_1(X74,X75))|~r2_tarski(X75,k4_finseq_1(X74)))|X75!=k5_numbers|epred1_2(X75,X74))&(((r2_tarski(esk6_2(X74,X75),k4_finseq_1(X74))|(~r1_xxreal_0(k1_funct_1(X74,esk5_2(X74,X75)),k1_funct_1(X74,X75))|~r2_tarski(X75,k4_finseq_1(X74)))|X75!=k5_numbers|epred1_2(X75,X74))&(k1_funct_1(X74,esk6_2(X74,X75))=k1_funct_1(X74,X75)|(~r1_xxreal_0(k1_funct_1(X74,esk5_2(X74,X75)),k1_funct_1(X74,X75))|~r2_tarski(X75,k4_finseq_1(X74)))|X75!=k5_numbers|epred1_2(X75,X74)))&(~r1_xxreal_0(X75,esk6_2(X74,X75))|(~r1_xxreal_0(k1_funct_1(X74,esk5_2(X74,X75)),k1_funct_1(X74,X75))|~r2_tarski(X75,k4_finseq_1(X74)))|X75!=k5_numbers|epred1_2(X75,X74))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])])])])).
cnf(c_0_64, plain, (r1_xxreal_0(k1_nat_1(X1,np__1),X2)|r1_xxreal_0(X2,X1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_56])).
cnf(c_0_65, plain, (k1_nat_1(k5_numbers,np__1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_59])])).
cnf(c_0_66, plain, (m1_subset_1(k3_finseq_1(X1),k4_ordinal1)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_60])).
fof(c_0_67, plain, ![X67, X68]:(((r1_xxreal_0(np__1,X68)|~r2_tarski(X68,k1_relset_1(k4_ordinal1,X67))|~v7_ordinal1(X68)|(~v1_relat_1(X67)|~v1_funct_1(X67)|~v1_finseq_1(X67)))&(r1_xxreal_0(X68,k3_finseq_1(X67))|~r2_tarski(X68,k1_relset_1(k4_ordinal1,X67))|~v7_ordinal1(X68)|(~v1_relat_1(X67)|~v1_funct_1(X67)|~v1_finseq_1(X67))))&(~r1_xxreal_0(np__1,X68)|~r1_xxreal_0(X68,k3_finseq_1(X67))|r2_tarski(X68,k1_relset_1(k4_ordinal1,X67))|~v7_ordinal1(X68)|(~v1_relat_1(X67)|~v1_funct_1(X67)|~v1_finseq_1(X67)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_finseq_3])])])])).
cnf(c_0_68, plain, (r1_xxreal_0(X1,X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_61, c_0_62])).
cnf(c_0_69, plain, (epred1_2(X2,X1)|~r1_xxreal_0(k3_finseq_1(X1),k5_numbers)|X2!=k5_numbers), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_70, plain, (r1_xxreal_0(X1,k5_numbers)|r1_xxreal_0(np__1,X1)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_59])])).
cnf(c_0_71, plain, (v7_ordinal1(k3_finseq_1(X1))|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_41, c_0_66])).
cnf(c_0_72, plain, (r2_tarski(X1,k1_relset_1(k4_ordinal1,X2))|~r1_xxreal_0(np__1,X1)|~r1_xxreal_0(X1,k3_finseq_1(X2))|~v7_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_finseq_1(X2)), inference(split_conjunct,[status(thm)],[c_0_67])).
cnf(c_0_73, plain, (r1_xxreal_0(np__1,np__1)), inference(spm,[status(thm)],[c_0_68, c_0_49])).
cnf(c_0_74, plain, (epred1_2(k5_numbers,X1)|~r1_xxreal_0(k3_finseq_1(X1),k5_numbers)), inference(er,[status(thm)],[c_0_69])).
cnf(c_0_75, plain, (r1_xxreal_0(np__1,k3_finseq_1(X1))|r1_xxreal_0(k3_finseq_1(X1),k5_numbers)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_70, c_0_71])).
fof(c_0_76, plain, ![X56, X57]:(~v1_relat_1(X57)|~v4_relat_1(X57,X56)|k1_relset_1(X56,X57)=k9_xtuple_0(X57)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_relset_1])])).
fof(c_0_77, plain, ![X39]:((((v1_relat_1(X39)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v1_finseq_1(X39)))&(v4_relat_1(X39,k4_ordinal1)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v1_finseq_1(X39))))&(v1_funct_1(X39)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v1_finseq_1(X39))))&(v1_finseq_1(X39)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v1_finseq_1(X39)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_finseq_1])])])).
fof(c_0_78, plain, ![X1]:((((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))&v3_valued_0(X1))=>![X2]:(v7_ordinal1(X2)=>(X2=k1_rfinseq2(X1)<=>epred1_2(X2,X1)))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[d1_rfinseq2]), c_0_55])).
cnf(c_0_79, plain, (r2_tarski(np__1,k1_relset_1(k4_ordinal1,X1))|~r1_xxreal_0(np__1,k3_finseq_1(X1))|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_49])])).
cnf(c_0_80, plain, (epred1_2(k5_numbers,X1)|r1_xxreal_0(np__1,k3_finseq_1(X1))|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_74, c_0_75])).
cnf(c_0_81, plain, (k1_relset_1(X2,X1)=k9_xtuple_0(X1)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_76])).
cnf(c_0_82, plain, (v4_relat_1(X1,k4_ordinal1)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_77])).
fof(c_0_83, plain, ![X49, X50]:((X50!=k1_rfinseq2(X49)|epred1_2(X50,X49)|~v7_ordinal1(X50)|(~v1_relat_1(X49)|~v1_funct_1(X49)|~v1_finseq_1(X49)|~v3_valued_0(X49)))&(~epred1_2(X50,X49)|X50=k1_rfinseq2(X49)|~v7_ordinal1(X50)|(~v1_relat_1(X49)|~v1_funct_1(X49)|~v1_finseq_1(X49)|~v3_valued_0(X49)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])])])).
fof(c_0_84, plain, ![X51]:(~v1_relat_1(X51)|~v1_funct_1(X51)|~v1_finseq_1(X51)|~v3_valued_0(X51)|v7_ordinal1(k1_rfinseq2(X51))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_rfinseq2])])).
cnf(c_0_85, plain, (epred1_2(k5_numbers,X1)|r2_tarski(np__1,k1_relset_1(k4_ordinal1,X1))|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_79, c_0_80])).
cnf(c_0_86, plain, (k1_relset_1(k4_ordinal1,X1)=k9_xtuple_0(X1)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_81, c_0_82])).
fof(c_0_87, plain, ![X58]:(~v1_relat_1(X58)|~v1_funct_1(X58)|~v1_finseq_1(X58)|k4_finseq_1(X58)=k9_xtuple_0(X58)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_finseq_1])])).
fof(c_0_88, negated_conjecture, ~(![X1]:(((((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))&v3_valued_0(X1))&v7_valued_0(X1))=>k1_rfinseq2(X1)=k3_finseq_1(X1))), inference(assume_negation,[status(cth)],[t25_number14])).
cnf(c_0_89, plain, (r1_xxreal_0(np__1,X1)|~r2_tarski(X1,k1_relset_1(k4_ordinal1,X2))|~v7_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_finseq_1(X2)), inference(split_conjunct,[status(thm)],[c_0_67])).
cnf(c_0_90, plain, (epred1_2(X1,X2)|X1!=k1_rfinseq2(X2)|~v7_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_finseq_1(X2)|~v3_valued_0(X2)), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_91, plain, (v7_ordinal1(k1_rfinseq2(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)|~v3_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_84])).
cnf(c_0_92, plain, (epred1_2(k5_numbers,X1)|r2_tarski(np__1,k9_xtuple_0(X1))|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_85, c_0_86])).
cnf(c_0_93, plain, (k4_finseq_1(X1)=k9_xtuple_0(X1)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_87])).
fof(c_0_94, negated_conjecture, (((((v1_relat_1(esk1_0)&v1_funct_1(esk1_0))&v1_finseq_1(esk1_0))&v3_valued_0(esk1_0))&v7_valued_0(esk1_0))&k1_rfinseq2(esk1_0)!=k3_finseq_1(esk1_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])])).
cnf(c_0_95, plain, (r1_xxreal_0(np__1,X1)|~r2_tarski(X1,k9_xtuple_0(X2))|~v7_ordinal1(X1)|~v1_finseq_1(X2)|~v1_funct_1(X2)|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_89, c_0_86])).
cnf(c_0_96, plain, (r2_tarski(X1,k4_finseq_1(X2))|r1_xxreal_0(k3_finseq_1(X2),k5_numbers)|~epred1_2(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_97, plain, (epred1_2(k1_rfinseq2(X1),X1)|~v3_valued_0(X1)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_90]), c_0_91])).
cnf(c_0_98, plain, (epred1_2(k5_numbers,X1)|r2_tarski(np__1,k4_finseq_1(X1))|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_92, c_0_93])).
cnf(c_0_99, negated_conjecture, (v1_finseq_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_94])).
cnf(c_0_100, negated_conjecture, (v1_funct_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_94])).
cnf(c_0_101, negated_conjecture, (v1_relat_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_94])).
cnf(c_0_102, plain, (~r1_xxreal_0(X1,X2)|~r1_xxreal_0(k1_nat_1(X2,np__1),X1)|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_56])).
cnf(c_0_103, plain, (r1_xxreal_0(np__1,X1)|~r2_tarski(X1,k4_finseq_1(X2))|~v7_ordinal1(X1)|~v1_finseq_1(X2)|~v1_funct_1(X2)|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_95, c_0_93])).
cnf(c_0_104, plain, (r2_tarski(k1_rfinseq2(X1),k4_finseq_1(X1))|r1_xxreal_0(k3_finseq_1(X1),k5_numbers)|~v3_valued_0(X1)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_96, c_0_97])).
cnf(c_0_105, plain, (X1=k1_rfinseq2(X2)|~epred1_2(X1,X2)|~v7_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_finseq_1(X2)|~v3_valued_0(X2)), inference(split_conjunct,[status(thm)],[c_0_83])).
cnf(c_0_106, negated_conjecture, (epred1_2(k5_numbers,esk1_0)|r2_tarski(np__1,k4_finseq_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_99]), c_0_100]), c_0_101])])).
cnf(c_0_107, negated_conjecture, (v3_valued_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_94])).
cnf(c_0_108, plain, (~r1_xxreal_0(k1_nat_1(X1,np__1),X1)|~v7_ordinal1(k1_nat_1(X1,np__1))|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_102, c_0_68])).
cnf(c_0_109, plain, (r1_xxreal_0(k3_finseq_1(X1),k5_numbers)|r1_xxreal_0(np__1,k1_rfinseq2(X1))|~v3_valued_0(X1)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_104]), c_0_91])).
cnf(c_0_110, negated_conjecture, (k1_rfinseq2(esk1_0)=k5_numbers|r2_tarski(np__1,k4_finseq_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_106]), c_0_59]), c_0_107]), c_0_99]), c_0_100]), c_0_101])])).
cnf(c_0_111, plain, (~r1_xxreal_0(np__1,k5_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_65]), c_0_49]), c_0_59])])).
cnf(c_0_112, negated_conjecture, (k1_rfinseq2(esk1_0)!=k3_finseq_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_94])).
cnf(c_0_113, plain, (k3_finseq_1(X1)=k5_numbers|epred1_2(X2,X1)|~r1_xxreal_0(k3_finseq_1(X1),k5_numbers)), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_114, plain, (r2_tarski(np__1,k4_finseq_1(esk1_0))|r1_xxreal_0(k3_finseq_1(esk1_0),k5_numbers)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_110]), c_0_107]), c_0_99]), c_0_100]), c_0_101])]), c_0_111])).
cnf(c_0_115, negated_conjecture, (r2_tarski(np__1,k4_finseq_1(esk1_0))|k3_finseq_1(esk1_0)!=k5_numbers), inference(spm,[status(thm)],[c_0_112, c_0_110])).
cnf(c_0_116, plain, (epred1_2(X1,esk1_0)|r2_tarski(np__1,k4_finseq_1(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_114]), c_0_115])).
cnf(c_0_117, plain, (r1_xxreal_0(X1,k3_finseq_1(X2))|~r2_tarski(X1,k1_relset_1(k4_ordinal1,X2))|~v7_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_finseq_1(X2)), inference(split_conjunct,[status(thm)],[c_0_67])).
cnf(c_0_118, plain, (X1=k1_rfinseq2(esk1_0)|r2_tarski(np__1,k4_finseq_1(esk1_0))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_116]), c_0_107]), c_0_99]), c_0_100]), c_0_101])])).
cnf(c_0_119, plain, (r1_xxreal_0(X1,k3_finseq_1(X2))|~r2_tarski(X1,k9_xtuple_0(X2))|~v7_ordinal1(X1)|~v1_finseq_1(X2)|~v1_funct_1(X2)|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_117, c_0_86])).
cnf(c_0_120, negated_conjecture, (r2_tarski(np__1,k4_finseq_1(esk1_0))|~v7_ordinal1(k3_finseq_1(esk1_0))), inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_112, c_0_118])])).
cnf(c_0_121, plain, (r1_xxreal_0(X1,k3_finseq_1(X2))|~r2_tarski(X1,k4_finseq_1(X2))|~v7_ordinal1(X1)|~v1_finseq_1(X2)|~v1_funct_1(X2)|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_119, c_0_93])).
cnf(c_0_122, negated_conjecture, (r2_tarski(np__1,k4_finseq_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_71]), c_0_99]), c_0_100]), c_0_101])])).
cnf(c_0_123, negated_conjecture, (r1_xxreal_0(np__1,k3_finseq_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_122]), c_0_49]), c_0_99]), c_0_100]), c_0_101])])).
cnf(c_0_124, negated_conjecture, (r2_tarski(k3_finseq_1(esk1_0),k1_relset_1(k4_ordinal1,X1))|~r1_xxreal_0(k3_finseq_1(esk1_0),k3_finseq_1(X1))|~v7_ordinal1(k3_finseq_1(esk1_0))|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_72, c_0_123])).
cnf(c_0_125, negated_conjecture, (r2_tarski(k3_finseq_1(esk1_0),k1_relset_1(k4_ordinal1,X1))|~r1_xxreal_0(k3_finseq_1(esk1_0),k3_finseq_1(X1))|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124, c_0_71]), c_0_99]), c_0_100]), c_0_101])])).
cnf(c_0_126, negated_conjecture, (r2_tarski(k3_finseq_1(esk1_0),k1_relset_1(k4_ordinal1,esk1_0))|~v7_ordinal1(k3_finseq_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_68]), c_0_99]), c_0_100]), c_0_101])])).
fof(c_0_127, plain, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v2_valued_0(X1))=>(v7_valued_0(X1)<=>![X2]:(v1_xxreal_0(X2)=>![X3]:(v1_xxreal_0(X3)=>~((((r2_hidden(X2,k9_xtuple_0(X1))&r2_hidden(X3,k9_xtuple_0(X1)))&~r1_xxreal_0(X3,X2))&r1_xxreal_0(k1_funct_1(X1,X3),k1_funct_1(X1,X2)))))))), inference(fof_simplification,[status(thm)],[d13_valued_0])).
fof(c_0_128, plain, ![X59, X60]:((~r2_tarski(X59,X60)|r2_hidden(X59,X60))&(~r2_hidden(X59,X60)|r2_tarski(X59,X60))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_129, negated_conjecture, (r2_tarski(k3_finseq_1(esk1_0),k1_relset_1(k4_ordinal1,esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126, c_0_71]), c_0_99]), c_0_100]), c_0_101])])).
fof(c_0_130, plain, ![X40]:((v1_relat_1(X40)|(~v1_relat_1(X40)|~v3_valued_0(X40)))&(v2_valued_0(X40)|(~v1_relat_1(X40)|~v3_valued_0(X40)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_valued_0])])])).
fof(c_0_131, plain, ![X44, X45, X46]:((~v7_valued_0(X44)|(~v1_xxreal_0(X45)|(~v1_xxreal_0(X46)|(~r2_hidden(X45,k9_xtuple_0(X44))|~r2_hidden(X46,k9_xtuple_0(X44))|r1_xxreal_0(X46,X45)|~r1_xxreal_0(k1_funct_1(X44,X46),k1_funct_1(X44,X45)))))|(~v1_relat_1(X44)|~v1_funct_1(X44)|~v2_valued_0(X44)))&((v1_xxreal_0(esk2_1(X44))|v7_valued_0(X44)|(~v1_relat_1(X44)|~v1_funct_1(X44)|~v2_valued_0(X44)))&((v1_xxreal_0(esk3_1(X44))|v7_valued_0(X44)|(~v1_relat_1(X44)|~v1_funct_1(X44)|~v2_valued_0(X44)))&((((r2_hidden(esk2_1(X44),k9_xtuple_0(X44))|v7_valued_0(X44)|(~v1_relat_1(X44)|~v1_funct_1(X44)|~v2_valued_0(X44)))&(r2_hidden(esk3_1(X44),k9_xtuple_0(X44))|v7_valued_0(X44)|(~v1_relat_1(X44)|~v1_funct_1(X44)|~v2_valued_0(X44))))&(~r1_xxreal_0(esk3_1(X44),esk2_1(X44))|v7_valued_0(X44)|(~v1_relat_1(X44)|~v1_funct_1(X44)|~v2_valued_0(X44))))&(r1_xxreal_0(k1_funct_1(X44,esk3_1(X44)),k1_funct_1(X44,esk2_1(X44)))|v7_valued_0(X44)|(~v1_relat_1(X44)|~v1_funct_1(X44)|~v2_valued_0(X44))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_127])])])])])).
cnf(c_0_132, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_128])).
cnf(c_0_133, negated_conjecture, (r2_tarski(k3_finseq_1(esk1_0),k9_xtuple_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129, c_0_86]), c_0_99]), c_0_100]), c_0_101])])).
cnf(c_0_134, plain, (v2_valued_0(X1)|~v1_relat_1(X1)|~v3_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_130])).
cnf(c_0_135, plain, (~r1_xxreal_0(np__1,X1)|~r1_xxreal_0(X1,k5_numbers)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_65]), c_0_59])])).
cnf(c_0_136, plain, (r1_xxreal_0(X3,X2)|~v7_valued_0(X1)|~v1_xxreal_0(X2)|~v1_xxreal_0(X3)|~r2_hidden(X2,k9_xtuple_0(X1))|~r2_hidden(X3,k9_xtuple_0(X1))|~r1_xxreal_0(k1_funct_1(X1,X3),k1_funct_1(X1,X2))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v2_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_131])).
cnf(c_0_137, negated_conjecture, (r2_hidden(k3_finseq_1(esk1_0),k9_xtuple_0(esk1_0))), inference(spm,[status(thm)],[c_0_132, c_0_133])).
cnf(c_0_138, negated_conjecture, (v2_valued_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134, c_0_107]), c_0_101])])).
cnf(c_0_139, negated_conjecture, (v7_valued_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_94])).
cnf(c_0_140, negated_conjecture, (~r1_xxreal_0(k3_finseq_1(esk1_0),k5_numbers)|~v7_ordinal1(k3_finseq_1(esk1_0))), inference(spm,[status(thm)],[c_0_135, c_0_123])).
cnf(c_0_141, negated_conjecture, (r1_xxreal_0(k3_finseq_1(esk1_0),X1)|~r1_xxreal_0(k1_funct_1(esk1_0,k3_finseq_1(esk1_0)),k1_funct_1(esk1_0,X1))|~r2_hidden(X1,k9_xtuple_0(esk1_0))|~v1_xxreal_0(k3_finseq_1(esk1_0))|~v1_xxreal_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136, c_0_137]), c_0_138]), c_0_139]), c_0_100]), c_0_101])])).
cnf(c_0_142, plain, (r1_xxreal_0(k1_funct_1(X2,X1),k1_funct_1(X2,X3))|r1_xxreal_0(k3_finseq_1(X2),k5_numbers)|~v7_ordinal1(X1)|~r2_tarski(X1,k4_finseq_1(X2))|~epred1_2(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_143, negated_conjecture, (r2_tarski(k3_finseq_1(esk1_0),k4_finseq_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133, c_0_93]), c_0_99]), c_0_100]), c_0_101])])).
cnf(c_0_144, negated_conjecture, (~r1_xxreal_0(k3_finseq_1(esk1_0),k5_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140, c_0_71]), c_0_99]), c_0_100]), c_0_101])])).
cnf(c_0_145, negated_conjecture, (r1_xxreal_0(k3_finseq_1(esk1_0),X1)|~r1_xxreal_0(k1_funct_1(esk1_0,k3_finseq_1(esk1_0)),k1_funct_1(esk1_0,X1))|~r2_hidden(X1,k9_xtuple_0(esk1_0))|~v1_xxreal_0(X1)|~v7_ordinal1(k3_finseq_1(esk1_0))), inference(spm,[status(thm)],[c_0_141, c_0_62])).
cnf(c_0_146, plain, (r1_xxreal_0(k1_funct_1(esk1_0,k3_finseq_1(esk1_0)),k1_funct_1(esk1_0,X1))|~epred1_2(X1,esk1_0)|~v7_ordinal1(k3_finseq_1(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142, c_0_143]), c_0_144])).
cnf(c_0_147, negated_conjecture, (r1_xxreal_0(k3_finseq_1(esk1_0),X1)|~r1_xxreal_0(k1_funct_1(esk1_0,k3_finseq_1(esk1_0)),k1_funct_1(esk1_0,X1))|~r2_hidden(X1,k9_xtuple_0(esk1_0))|~v1_xxreal_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145, c_0_71]), c_0_99]), c_0_100]), c_0_101])])).
cnf(c_0_148, plain, (r1_xxreal_0(k1_funct_1(esk1_0,k3_finseq_1(esk1_0)),k1_funct_1(esk1_0,X1))|~epred1_2(X1,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146, c_0_71]), c_0_99]), c_0_100]), c_0_101])])).
cnf(c_0_149, negated_conjecture, (r1_xxreal_0(k3_finseq_1(esk1_0),X1)|~r1_xxreal_0(k1_funct_1(esk1_0,k3_finseq_1(esk1_0)),k1_funct_1(esk1_0,X1))|~r2_hidden(X1,k4_finseq_1(esk1_0))|~v1_xxreal_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147, c_0_93]), c_0_99]), c_0_100]), c_0_101])])).
cnf(c_0_150, plain, (r1_xxreal_0(k3_finseq_1(X1),k5_numbers)|r2_hidden(k1_rfinseq2(X1),k4_finseq_1(X1))|~v3_valued_0(X1)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_132, c_0_104])).
cnf(c_0_151, plain, (r1_xxreal_0(k1_funct_1(esk1_0,k3_finseq_1(esk1_0)),k1_funct_1(esk1_0,k1_rfinseq2(esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148, c_0_97]), c_0_107]), c_0_99]), c_0_100]), c_0_101])])).
cnf(c_0_152, negated_conjecture, (r1_xxreal_0(k3_finseq_1(esk1_0),k1_rfinseq2(esk1_0))|~v1_xxreal_0(k1_rfinseq2(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149, c_0_150]), c_0_151]), c_0_107]), c_0_99]), c_0_100]), c_0_101])]), c_0_144])).
fof(c_0_153, plain, ![X65, X66]:(~v1_xxreal_0(X65)|(~v1_xxreal_0(X66)|(~r1_xxreal_0(X65,X66)|~r1_xxreal_0(X66,X65)|X65=X66))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xxreal_0])])])).
cnf(c_0_154, negated_conjecture, (r1_xxreal_0(k3_finseq_1(esk1_0),k1_rfinseq2(esk1_0))|~v7_ordinal1(k1_rfinseq2(esk1_0))), inference(spm,[status(thm)],[c_0_152, c_0_62])).
cnf(c_0_155, plain, (X1=X2|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)|~r1_xxreal_0(X1,X2)|~r1_xxreal_0(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_153])).
cnf(c_0_156, negated_conjecture, (r1_xxreal_0(k3_finseq_1(esk1_0),k1_rfinseq2(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154, c_0_91]), c_0_107]), c_0_99]), c_0_100]), c_0_101])])).
cnf(c_0_157, negated_conjecture, (~r1_xxreal_0(k1_rfinseq2(esk1_0),k3_finseq_1(esk1_0))|~v1_xxreal_0(k3_finseq_1(esk1_0))|~v1_xxreal_0(k1_rfinseq2(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_155, c_0_156]), c_0_112])).
cnf(c_0_158, negated_conjecture, (~r1_xxreal_0(k1_rfinseq2(esk1_0),k3_finseq_1(esk1_0))|~v1_xxreal_0(k1_rfinseq2(esk1_0))|~v7_ordinal1(k3_finseq_1(esk1_0))), inference(spm,[status(thm)],[c_0_157, c_0_62])).
cnf(c_0_159, negated_conjecture, (~r1_xxreal_0(k1_rfinseq2(esk1_0),k3_finseq_1(esk1_0))|~v7_ordinal1(k3_finseq_1(esk1_0))|~v7_ordinal1(k1_rfinseq2(esk1_0))), inference(spm,[status(thm)],[c_0_158, c_0_62])).
cnf(c_0_160, negated_conjecture, (~r1_xxreal_0(k1_rfinseq2(esk1_0),k3_finseq_1(esk1_0))|~v7_ordinal1(k1_rfinseq2(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159, c_0_71]), c_0_99]), c_0_100]), c_0_101])])).
cnf(c_0_161, negated_conjecture, (~r1_xxreal_0(k1_rfinseq2(esk1_0),k3_finseq_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160, c_0_91]), c_0_107]), c_0_99]), c_0_100]), c_0_101])])).
cnf(c_0_162, plain, (r1_xxreal_0(k1_rfinseq2(X1),k3_finseq_1(X1))|r1_xxreal_0(k3_finseq_1(X1),k5_numbers)|~v3_valued_0(X1)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_104]), c_0_91])).
cnf(c_0_163, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161, c_0_162]), c_0_107]), c_0_99]), c_0_100]), c_0_101])]), c_0_144]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 164
# Proof object clause steps            : 111
# Proof object formula steps           : 53
# Proof object conjectures             : 37
# Proof object clause conjectures      : 34
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 40
# Proof object initial formulas used   : 27
# Proof object generating inferences   : 64
# Proof object simplifying inferences  : 131
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 27
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 78
# Removed in clause preprocessing      : 4
# Initial clauses in saturation        : 74
# Processed clauses                    : 373
# ...of these trivial                  : 1
# ...subsumed                          : 54
# ...remaining for further processing  : 318
# Other redundant clauses eliminated   : 15
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 20
# Backward-rewritten                   : 19
# Generated clauses                    : 434
# ...of the previous two non-trivial   : 373
# Contextual simplify-reflections      : 10
# Paramodulations                      : 419
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 15
# 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  : 191
#    Positive orientable unit clauses  : 39
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 6
#    Non-unit-clauses                  : 146
# Current number of unprocessed clauses: 126
# ...number of literals in the above   : 867
# Current number of archived formulas  : 0
# Current number of archived clauses   : 113
# Clause-clause subsumption calls (NU) : 6570
# Rec. Clause-clause subsumption calls : 1432
# Non-unit clause-clause subsumptions  : 75
# Unit Clause-clause subsumption calls : 512
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 8
# BW rewrite match successes           : 8
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 16111

# -------------------------------------------------
# User time                : 0.035 s
# System time              : 0.002 s
# Total time               : 0.037 s
# Maximum resident set size: 3332 pages
