# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___107_C12_02_nc_F1_PI_AE_Q4_CS_SP_PS_S08BN
# and selection function SelectCQPrecWNTNp.
#
# Preprocessing time       : 0.020 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t49_newton07, conjecture, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>![X2]:(v1_xcmplx_0(X2)=>![X3]:(((v1_relat_1(X3)&v1_funct_1(X3))&v1_finseq_1(X3))=>k1_funct_1(k7_finseq_1(k9_finseq_1(X2),X3),k1_nat_1(X1,np__1))=k1_funct_1(X3,X1)))), file('newton07/newton07__t49_newton07', t49_newton07)).
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('newton07/newton07__t49_newton07', redefinition_k1_nat_1)).
fof(fc7_finseq_1, axiom, ![X1]:v1_finseq_1(k5_finseq_1(X1)), file('newton07/newton07__t49_newton07', fc7_finseq_1)).
fof(redefinition_k9_finseq_1, axiom, ![X1]:k9_finseq_1(X1)=k5_finseq_1(X1), file('newton07/newton07__t49_newton07', redefinition_k9_finseq_1)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('newton07/newton07__t49_newton07', spc1_numerals)).
fof(t48_newton07, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>![X2]:(((v1_relat_1(X2)&v1_funct_1(X2))&v1_finseq_1(X2))=>![X3]:(((v1_relat_1(X3)&v1_funct_1(X3))&v1_finseq_1(X3))=>k1_funct_1(k7_finseq_1(X2,X3),k2_xcmplx_0(k3_finseq_1(X2),X1))=k1_funct_1(X3,X1)))), file('newton07/newton07__t49_newton07', t48_newton07)).
fof(t40_finseq_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>![X2]:(X1=k9_finseq_1(X2)<=>(k3_finseq_1(X1)=np__1&k1_funct_1(X1,np__1)=X2))), file('newton07/newton07__t49_newton07', t40_finseq_1)).
fof(dt_k9_finseq_1, axiom, ![X1]:(v1_relat_1(k9_finseq_1(X1))&v1_funct_1(k9_finseq_1(X1))), file('newton07/newton07__t49_newton07', dt_k9_finseq_1)).
fof(commutativity_k2_xcmplx_0, axiom, ![X1, X2]:((v1_xcmplx_0(X1)&v1_xcmplx_0(X2))=>k2_xcmplx_0(X1,X2)=k2_xcmplx_0(X2,X1)), file('newton07/newton07__t49_newton07', commutativity_k2_xcmplx_0)).
fof(cc3_int_1, axiom, ![X1]:(v1_int_1(X1)=>v1_xreal_0(X1)), file('newton07/newton07__t49_newton07', cc3_int_1)).
fof(cc2_int_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_int_1(X1)), file('newton07/newton07__t49_newton07', cc2_int_1)).
fof(cc3_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xcmplx_0(X1)), file('newton07/newton07__t49_newton07', cc3_xreal_0)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('newton07/newton07__t49_newton07', cc8_ordinal1)).
fof(c_0_13, negated_conjecture, ~(![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>![X2]:(v1_xcmplx_0(X2)=>![X3]:(((v1_relat_1(X3)&v1_funct_1(X3))&v1_finseq_1(X3))=>k1_funct_1(k7_finseq_1(k9_finseq_1(X2),X3),k1_nat_1(X1,np__1))=k1_funct_1(X3,X1))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t49_newton07])])).
fof(c_0_14, plain, ![X34, X35]:(~v7_ordinal1(X34)|~m1_subset_1(X35,k4_ordinal1)|k1_nat_1(X34,X35)=k2_xcmplx_0(X34,X35)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_nat_1])])).
fof(c_0_15, plain, ![X33]:v1_finseq_1(k5_finseq_1(X33)), inference(variable_rename,[status(thm)],[fc7_finseq_1])).
fof(c_0_16, plain, ![X36]:k9_finseq_1(X36)=k5_finseq_1(X36), inference(variable_rename,[status(thm)],[redefinition_k9_finseq_1])).
fof(c_0_17, negated_conjecture, ((v7_ordinal1(esk1_0)&~v8_ordinal1(esk1_0))&(v1_xcmplx_0(esk2_0)&(((v1_relat_1(esk3_0)&v1_funct_1(esk3_0))&v1_finseq_1(esk3_0))&k1_funct_1(k7_finseq_1(k9_finseq_1(esk2_0),esk3_0),k1_nat_1(esk1_0,np__1))!=k1_funct_1(esk3_0,esk1_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])).
cnf(c_0_18, 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_14])).
cnf(c_0_19, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
fof(c_0_20, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>![X2]:(((v1_relat_1(X2)&v1_funct_1(X2))&v1_finseq_1(X2))=>![X3]:(((v1_relat_1(X3)&v1_funct_1(X3))&v1_finseq_1(X3))=>k1_funct_1(k7_finseq_1(X2,X3),k2_xcmplx_0(k3_finseq_1(X2),X1))=k1_funct_1(X3,X1)))), inference(fof_simplification,[status(thm)],[t48_newton07])).
fof(c_0_21, plain, ![X37, X38]:(((k3_finseq_1(X37)=np__1|X37!=k9_finseq_1(X38)|(~v1_relat_1(X37)|~v1_funct_1(X37)|~v1_finseq_1(X37)))&(k1_funct_1(X37,np__1)=X38|X37!=k9_finseq_1(X38)|(~v1_relat_1(X37)|~v1_funct_1(X37)|~v1_finseq_1(X37))))&(k3_finseq_1(X37)!=np__1|k1_funct_1(X37,np__1)!=X38|X37=k9_finseq_1(X38)|(~v1_relat_1(X37)|~v1_funct_1(X37)|~v1_finseq_1(X37)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t40_finseq_1])])])])).
cnf(c_0_22, plain, (v1_finseq_1(k5_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_23, plain, (k9_finseq_1(X1)=k5_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
fof(c_0_24, plain, ![X32]:(v1_relat_1(k9_finseq_1(X32))&v1_funct_1(k9_finseq_1(X32))), inference(variable_rename,[status(thm)],[dt_k9_finseq_1])).
cnf(c_0_25, negated_conjecture, (k1_funct_1(k7_finseq_1(k9_finseq_1(esk2_0),esk3_0),k1_nat_1(esk1_0,np__1))!=k1_funct_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_26, plain, (k1_nat_1(X1,np__1)=k2_xcmplx_0(X1,np__1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_18, c_0_19])).
cnf(c_0_27, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
fof(c_0_28, plain, ![X30, X31]:(~v1_xcmplx_0(X30)|~v1_xcmplx_0(X31)|k2_xcmplx_0(X30,X31)=k2_xcmplx_0(X31,X30)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k2_xcmplx_0])])).
fof(c_0_29, plain, ![X39, X40, X41]:(~v7_ordinal1(X39)|v8_ordinal1(X39)|(~v1_relat_1(X40)|~v1_funct_1(X40)|~v1_finseq_1(X40)|(~v1_relat_1(X41)|~v1_funct_1(X41)|~v1_finseq_1(X41)|k1_funct_1(k7_finseq_1(X40,X41),k2_xcmplx_0(k3_finseq_1(X40),X39))=k1_funct_1(X41,X39)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])).
cnf(c_0_30, plain, (k3_finseq_1(X1)=np__1|X1!=k9_finseq_1(X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_31, plain, (v1_finseq_1(k9_finseq_1(X1))), inference(rw,[status(thm)],[c_0_22, c_0_23])).
cnf(c_0_32, plain, (v1_funct_1(k9_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_33, plain, (v1_relat_1(k9_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_24])).
fof(c_0_34, plain, ![X27]:(~v1_int_1(X27)|v1_xreal_0(X27)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_int_1])])).
fof(c_0_35, plain, ![X26]:(~v7_ordinal1(X26)|v1_int_1(X26)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_int_1])])).
cnf(c_0_36, negated_conjecture, (k1_funct_1(k7_finseq_1(k9_finseq_1(esk2_0),esk3_0),k2_xcmplx_0(esk1_0,np__1))!=k1_funct_1(esk3_0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_27])])).
cnf(c_0_37, plain, (k2_xcmplx_0(X1,X2)=k2_xcmplx_0(X2,X1)|~v1_xcmplx_0(X1)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_38, plain, (v8_ordinal1(X1)|k1_funct_1(k7_finseq_1(X2,X3),k2_xcmplx_0(k3_finseq_1(X2),X1))=k1_funct_1(X3,X1)|~v7_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_finseq_1(X2)|~v1_relat_1(X3)|~v1_funct_1(X3)|~v1_finseq_1(X3)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_39, plain, (k3_finseq_1(k9_finseq_1(X1))=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_30]), c_0_31]), c_0_32]), c_0_33])])).
fof(c_0_40, plain, ![X28]:(~v1_xreal_0(X28)|v1_xcmplx_0(X28)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_xreal_0])])).
cnf(c_0_41, plain, (v1_xreal_0(X1)|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_42, plain, (v1_int_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_35])).
fof(c_0_43, plain, ![X29]:(~m1_subset_1(X29,k4_ordinal1)|v7_ordinal1(X29)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
cnf(c_0_44, negated_conjecture, (k1_funct_1(k7_finseq_1(k9_finseq_1(esk2_0),esk3_0),k2_xcmplx_0(np__1,esk1_0))!=k1_funct_1(esk3_0,esk1_0)|~v1_xcmplx_0(np__1)|~v1_xcmplx_0(esk1_0)), inference(spm,[status(thm)],[c_0_36, c_0_37])).
cnf(c_0_45, plain, (k1_funct_1(k7_finseq_1(k9_finseq_1(X1),X2),k2_xcmplx_0(np__1,X3))=k1_funct_1(X2,X3)|v8_ordinal1(X3)|~v1_finseq_1(X2)|~v1_funct_1(X2)|~v1_relat_1(X2)|~v7_ordinal1(X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_31]), c_0_32]), c_0_33])])).
cnf(c_0_46, negated_conjecture, (v1_finseq_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_47, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_48, negated_conjecture, (v1_relat_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_49, negated_conjecture, (~v8_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_50, plain, (v1_xcmplx_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_51, plain, (v1_xreal_0(X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_41, c_0_42])).
cnf(c_0_52, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_53, negated_conjecture, (~v1_xcmplx_0(np__1)|~v1_xcmplx_0(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_46]), c_0_47]), c_0_48]), c_0_27])]), c_0_49])).
cnf(c_0_54, plain, (v1_xcmplx_0(X1)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_50, c_0_51])).
cnf(c_0_55, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_52, c_0_19])).
cnf(c_0_56, negated_conjecture, (~v1_xcmplx_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_55])])).
cnf(c_0_57, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_54]), c_0_27])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 58
# Proof object clause steps            : 31
# Proof object formula steps           : 27
# Proof object conjectures             : 14
# Proof object clause conjectures      : 11
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 19
# Proof object initial formulas used   : 13
# Proof object generating inferences   : 11
# Proof object simplifying inferences  : 21
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 13
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 23
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 22
# Processed clauses                    : 57
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 57
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 1
# Backward-rewritten                   : 0
# Generated clauses                    : 23
# ...of the previous two non-trivial   : 19
# Contextual simplify-reflections      : 1
# Paramodulations                      : 19
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 4
# 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  : 34
#    Positive orientable unit clauses  : 13
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 17
# Current number of unprocessed clauses: 6
# ...number of literals in the above   : 47
# Current number of archived formulas  : 0
# Current number of archived clauses   : 24
# Clause-clause subsumption calls (NU) : 336
# Rec. Clause-clause subsumption calls : 83
# Non-unit clause-clause subsumptions  : 2
# Unit Clause-clause subsumption calls : 3
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 0
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2205

# -------------------------------------------------
# User time                : 0.021 s
# System time              : 0.004 s
# Total time               : 0.025 s
# Maximum resident set size: 3540 pages
