# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S076I
# and selection function SelectCQIAr.
#
# Preprocessing time       : 0.017 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(l34_number16, conjecture, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>(r1_xxreal_0(X1,X2)=>r1_xxreal_0(k2_wsierp_1(k1_number13(X1)),k2_wsierp_1(k1_number13(X2)))))), file('number16/number16__l34_number16', l34_number16)).
fof(dt_k1_number13, axiom, ![X1]:(v7_ordinal1(X1)=>m2_finseq_1(k1_number13(X1),k4_ordinal1)), file('number16/number16__l34_number16', dt_k1_number13)).
fof(redefinition_m2_finseq_1, axiom, ![X1, X2]:(m2_finseq_1(X2,X1)<=>m1_finseq_1(X2,X1)), file('number16/number16__l34_number16', redefinition_m2_finseq_1)).
fof(dt_m1_finseq_1, axiom, ![X1, X2]:(m1_finseq_1(X2,X1)=>((v1_relat_1(X2)&v1_funct_1(X2))&v1_finseq_1(X2))), file('number16/number16__l34_number16', dt_m1_finseq_1)).
fof(cc17_finseq_1, axiom, ![X1]:(m1_finseq_1(X1,k4_ordinal1)=>v6_valued_0(X1)), file('number16/number16__l34_number16', cc17_finseq_1)).
fof(t17_number13, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>(r1_xxreal_0(X1,X2)=>k17_finseq_1(k4_ordinal1,X1,k1_number13(X2))=k1_number13(X1)))), file('number16/number16__l34_number16', t17_number13)).
fof(redefinition_k2_wsierp_1, axiom, ![X1]:(m1_finseq_1(X1,k4_ordinal1)=>k2_wsierp_1(X1)=k19_rvsum_1(X1)), file('number16/number16__l34_number16', redefinition_k2_wsierp_1)).
fof(fc7_number13, axiom, ![X1]:(v7_ordinal1(X1)=>v1_number13(k1_number13(X1))), file('number16/number16__l34_number16', fc7_number13)).
fof(cc8_valued_0, axiom, ![X1]:((v1_relat_1(X1)&v6_valued_0(X1))=>(v1_relat_1(X1)&v3_valued_0(X1))), file('number16/number16__l34_number16', cc8_valued_0)).
fof(redefinition_k17_finseq_1, axiom, ![X1, X2, X3]:((v7_ordinal1(X2)&m1_finseq_1(X3,X1))=>k17_finseq_1(X1,X2,X3)=k16_finseq_1(X2,X3)), file('number16/number16__l34_number16', redefinition_k17_finseq_1)).
fof(t22_number13, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(((((v1_relat_1(X2)&v1_funct_1(X2))&v1_finseq_1(X2))&v3_valued_0(X2))&v1_number13(X2))=>r1_xxreal_0(k19_rvsum_1(k16_finseq_1(X1,X2)),k19_rvsum_1(X2)))), file('number16/number16__l34_number16', t22_number13)).
fof(c_0_11, negated_conjecture, ~(![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>(r1_xxreal_0(X1,X2)=>r1_xxreal_0(k2_wsierp_1(k1_number13(X1)),k2_wsierp_1(k1_number13(X2))))))), inference(assume_negation,[status(cth)],[l34_number16])).
fof(c_0_12, plain, ![X26]:(~v7_ordinal1(X26)|m2_finseq_1(k1_number13(X26),k4_ordinal1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_number13])])).
fof(c_0_13, negated_conjecture, (v7_ordinal1(esk1_0)&(v7_ordinal1(esk2_0)&(r1_xxreal_0(esk1_0,esk2_0)&~r1_xxreal_0(k2_wsierp_1(k1_number13(esk1_0)),k2_wsierp_1(k1_number13(esk2_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])).
fof(c_0_14, plain, ![X34, X35]:((~m2_finseq_1(X35,X34)|m1_finseq_1(X35,X34))&(~m1_finseq_1(X35,X34)|m2_finseq_1(X35,X34))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_finseq_1])])).
cnf(c_0_15, plain, (m2_finseq_1(k1_number13(X1),k4_ordinal1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_16, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
fof(c_0_17, plain, ![X27, X28]:(((v1_relat_1(X28)|~m1_finseq_1(X28,X27))&(v1_funct_1(X28)|~m1_finseq_1(X28,X27)))&(v1_finseq_1(X28)|~m1_finseq_1(X28,X27))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_finseq_1])])])).
cnf(c_0_18, plain, (m1_finseq_1(X1,X2)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_19, negated_conjecture, (m2_finseq_1(k1_number13(esk2_0),k4_ordinal1)), inference(spm,[status(thm)],[c_0_15, c_0_16])).
fof(c_0_20, plain, ![X24]:(~m1_finseq_1(X24,k4_ordinal1)|v6_valued_0(X24)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc17_finseq_1])])).
fof(c_0_21, plain, ![X36, X37]:(~v7_ordinal1(X36)|(~v7_ordinal1(X37)|(~r1_xxreal_0(X36,X37)|k17_finseq_1(k4_ordinal1,X36,k1_number13(X37))=k1_number13(X36)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t17_number13])])])).
fof(c_0_22, plain, ![X33]:(~m1_finseq_1(X33,k4_ordinal1)|k2_wsierp_1(X33)=k19_rvsum_1(X33)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_wsierp_1])])).
cnf(c_0_23, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
fof(c_0_24, plain, ![X29]:(~v7_ordinal1(X29)|v1_number13(k1_number13(X29))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc7_number13])])).
fof(c_0_25, plain, ![X25]:((v1_relat_1(X25)|(~v1_relat_1(X25)|~v6_valued_0(X25)))&(v3_valued_0(X25)|(~v1_relat_1(X25)|~v6_valued_0(X25)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_valued_0])])])).
cnf(c_0_26, plain, (v1_relat_1(X1)|~m1_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_27, negated_conjecture, (m1_finseq_1(k1_number13(esk2_0),k4_ordinal1)), inference(spm,[status(thm)],[c_0_18, c_0_19])).
cnf(c_0_28, plain, (v6_valued_0(X1)|~m1_finseq_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_20])).
fof(c_0_29, plain, ![X30, X31, X32]:(~v7_ordinal1(X31)|~m1_finseq_1(X32,X30)|k17_finseq_1(X30,X31,X32)=k16_finseq_1(X31,X32)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k17_finseq_1])])).
cnf(c_0_30, plain, (k17_finseq_1(k4_ordinal1,X1,k1_number13(X2))=k1_number13(X1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)|~r1_xxreal_0(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_31, plain, (k2_wsierp_1(X1)=k19_rvsum_1(X1)|~m1_finseq_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_32, negated_conjecture, (m2_finseq_1(k1_number13(esk1_0),k4_ordinal1)), inference(spm,[status(thm)],[c_0_15, c_0_23])).
fof(c_0_33, plain, ![X38, X39]:(~v7_ordinal1(X38)|(~v1_relat_1(X39)|~v1_funct_1(X39)|~v1_finseq_1(X39)|~v3_valued_0(X39)|~v1_number13(X39)|r1_xxreal_0(k19_rvsum_1(k16_finseq_1(X38,X39)),k19_rvsum_1(X39)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t22_number13])])])).
cnf(c_0_34, plain, (v1_finseq_1(X1)|~m1_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_35, plain, (v1_number13(k1_number13(X1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_36, plain, (v1_funct_1(X1)|~m1_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_37, plain, (v3_valued_0(X1)|~v1_relat_1(X1)|~v6_valued_0(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_38, negated_conjecture, (v1_relat_1(k1_number13(esk2_0))), inference(spm,[status(thm)],[c_0_26, c_0_27])).
cnf(c_0_39, negated_conjecture, (v6_valued_0(k1_number13(esk2_0))), inference(spm,[status(thm)],[c_0_28, c_0_27])).
cnf(c_0_40, plain, (k17_finseq_1(X3,X1,X2)=k16_finseq_1(X1,X2)|~v7_ordinal1(X1)|~m1_finseq_1(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_41, negated_conjecture, (k17_finseq_1(k4_ordinal1,X1,k1_number13(esk2_0))=k1_number13(X1)|~r1_xxreal_0(X1,esk2_0)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_30, c_0_16])).
cnf(c_0_42, negated_conjecture, (r1_xxreal_0(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_43, negated_conjecture, (~r1_xxreal_0(k2_wsierp_1(k1_number13(esk1_0)),k2_wsierp_1(k1_number13(esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_44, negated_conjecture, (k2_wsierp_1(k1_number13(esk2_0))=k19_rvsum_1(k1_number13(esk2_0))), inference(spm,[status(thm)],[c_0_31, c_0_27])).
cnf(c_0_45, negated_conjecture, (m1_finseq_1(k1_number13(esk1_0),k4_ordinal1)), inference(spm,[status(thm)],[c_0_18, c_0_32])).
cnf(c_0_46, plain, (r1_xxreal_0(k19_rvsum_1(k16_finseq_1(X1,X2)),k19_rvsum_1(X2))|~v7_ordinal1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_finseq_1(X2)|~v3_valued_0(X2)|~v1_number13(X2)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_47, negated_conjecture, (v1_finseq_1(k1_number13(esk2_0))), inference(spm,[status(thm)],[c_0_34, c_0_27])).
cnf(c_0_48, negated_conjecture, (v1_number13(k1_number13(esk2_0))), inference(spm,[status(thm)],[c_0_35, c_0_16])).
cnf(c_0_49, negated_conjecture, (v1_funct_1(k1_number13(esk2_0))), inference(spm,[status(thm)],[c_0_36, c_0_27])).
cnf(c_0_50, negated_conjecture, (v3_valued_0(k1_number13(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_39])])).
cnf(c_0_51, negated_conjecture, (k17_finseq_1(X1,esk1_0,X2)=k16_finseq_1(esk1_0,X2)|~m1_finseq_1(X2,X1)), inference(spm,[status(thm)],[c_0_40, c_0_23])).
cnf(c_0_52, negated_conjecture, (k17_finseq_1(k4_ordinal1,esk1_0,k1_number13(esk2_0))=k1_number13(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_23]), c_0_42])])).
cnf(c_0_53, negated_conjecture, (~r1_xxreal_0(k2_wsierp_1(k1_number13(esk1_0)),k19_rvsum_1(k1_number13(esk2_0)))), inference(rw,[status(thm)],[c_0_43, c_0_44])).
cnf(c_0_54, negated_conjecture, (k2_wsierp_1(k1_number13(esk1_0))=k19_rvsum_1(k1_number13(esk1_0))), inference(spm,[status(thm)],[c_0_31, c_0_45])).
cnf(c_0_55, negated_conjecture, (r1_xxreal_0(k19_rvsum_1(k16_finseq_1(X1,k1_number13(esk2_0))),k19_rvsum_1(k1_number13(esk2_0)))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48]), c_0_49]), c_0_38])]), c_0_50])])).
cnf(c_0_56, negated_conjecture, (k16_finseq_1(esk1_0,k1_number13(esk2_0))=k1_number13(esk1_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_27]), c_0_52])).
cnf(c_0_57, negated_conjecture, (~r1_xxreal_0(k19_rvsum_1(k1_number13(esk1_0)),k19_rvsum_1(k1_number13(esk2_0)))), inference(rw,[status(thm)],[c_0_53, c_0_54])).
cnf(c_0_58, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_23]), c_0_56]), c_0_57]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 59
# Proof object clause steps            : 36
# Proof object formula steps           : 23
# Proof object conjectures             : 27
# Proof object clause conjectures      : 24
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 16
# Proof object initial formulas used   : 11
# Proof object generating inferences   : 18
# Proof object simplifying inferences  : 15
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 11
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 18
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 17
# Processed clauses                    : 68
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 68
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 3
# Generated clauses                    : 36
# ...of the previous two non-trivial   : 36
# Contextual simplify-reflections      : 0
# Paramodulations                      : 36
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 0
# 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  : 48
#    Positive orientable unit clauses  : 26
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 21
# Current number of unprocessed clauses: 1
# ...number of literals in the above   : 3
# Current number of archived formulas  : 0
# Current number of archived clauses   : 20
# Clause-clause subsumption calls (NU) : 152
# Rec. Clause-clause subsumption calls : 106
# Non-unit clause-clause subsumptions  : 0
# Unit Clause-clause subsumption calls : 0
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 5
# BW rewrite match successes           : 3
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 1927

# -------------------------------------------------
# User time                : 0.017 s
# System time              : 0.004 s
# Total time               : 0.021 s
# Maximum resident set size: 3016 pages
