# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S002I
# and selection function SelectNegativeLiterals.
#
# Preprocessing time       : 0.019 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(redefinition_k2_finseq_4, axiom, ![X1, X2, X3]:(((~(v1_xboole_0(X1))&m1_subset_1(X2,X1))&m1_subset_1(X3,X1))=>k2_finseq_4(X1,X2,X3)=k10_finseq_1(X2,X3)), file('newton07/newton07__t59_newton07', redefinition_k2_finseq_4)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('newton07/newton07__t59_newton07', cc8_ordinal1)).
fof(rd40_newton04, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>k1_funct_1(k6_newton(X1),X1)=X1), file('newton07/newton07__t59_newton07', rd40_newton04)).
fof(fc6_ordinal1, axiom, (~(v1_xboole_0(k4_ordinal1))&v3_ordinal1(k4_ordinal1)), file('newton07/newton07__t59_newton07', fc6_ordinal1)).
fof(dt_k6_newton, axiom, ![X1]:(v7_ordinal1(X1)=>m2_finseq_1(k6_newton(X1),k1_numbers)), file('newton07/newton07__t59_newton07', dt_k6_newton)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('newton07/newton07__t59_newton07', spc1_numerals)).
fof(cc4_nat_1, axiom, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~(v2_xxreal_0(X1)))), file('newton07/newton07__t59_newton07', cc4_nat_1)).
fof(dt_m2_finseq_1, axiom, ![X1, X2]:(m2_finseq_1(X2,X1)=>((v1_funct_1(X2)&v1_finseq_1(X2))&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X1))))), file('newton07/newton07__t59_newton07', dt_m2_finseq_1)).
fof(fc36_newton04, axiom, ![X1]:(v7_ordinal1(X1)=>v3_card_1(k6_newton(X1),k2_xcmplx_0(X1,np__1))), file('newton07/newton07__t59_newton07', fc36_newton04)).
fof(rd43_newton04, axiom, ![X1]:(v7_ordinal1(X1)=>k1_funct_1(k6_newton(X1),k2_xcmplx_0(X1,np__1))=np__1), file('newton07/newton07__t59_newton07', rd43_newton04)).
fof(t59_newton07, conjecture, k6_newton(np__1)=k2_finseq_4(k4_ordinal1,np__1,np__1), file('newton07/newton07__t59_newton07', t59_newton07)).
fof(cc1_relset_1, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>v1_relat_1(X3)), file('newton07/newton07__t59_newton07', cc1_relset_1)).
fof(rd9_newton07, axiom, ![X1]:((((v1_relat_1(X1)&v1_funct_1(X1))&v3_card_1(X1,np__2))&v1_finseq_1(X1))=>k10_finseq_1(k1_funct_1(X1,np__1),k1_funct_1(X1,np__2))=X1), file('newton07/newton07__t59_newton07', rd9_newton07)).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(np__1,np__1)=np__2, file('newton07/newton07__t59_newton07', rqRealAdd__k2_xcmplx_0__r1_r1_r2)).
fof(c_0_14, plain, ![X1, X2, X3]:(((~v1_xboole_0(X1)&m1_subset_1(X2,X1))&m1_subset_1(X3,X1))=>k2_finseq_4(X1,X2,X3)=k10_finseq_1(X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k2_finseq_4])).
fof(c_0_15, plain, ![X23]:(~m1_subset_1(X23,k4_ordinal1)|v7_ordinal1(X23)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_16, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>k1_funct_1(k6_newton(X1),X1)=X1), inference(fof_simplification,[status(thm)],[rd40_newton04])).
fof(c_0_17, plain, ![X31, X32, X33]:(v1_xboole_0(X31)|~m1_subset_1(X32,X31)|~m1_subset_1(X33,X31)|k2_finseq_4(X31,X32,X33)=k10_finseq_1(X32,X33)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])).
fof(c_0_18, plain, (~v1_xboole_0(k4_ordinal1)&v3_ordinal1(k4_ordinal1)), inference(fof_simplification,[status(thm)],[fc6_ordinal1])).
fof(c_0_19, plain, ![X24]:(~v7_ordinal1(X24)|m2_finseq_1(k6_newton(X24),k1_numbers)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_newton])])).
cnf(c_0_20, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_21, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
fof(c_0_22, plain, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~v2_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc4_nat_1])).
fof(c_0_23, plain, ![X28]:(~v7_ordinal1(X28)|v8_ordinal1(X28)|k1_funct_1(k6_newton(X28),X28)=X28), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])).
cnf(c_0_24, plain, (v1_xboole_0(X1)|k2_finseq_4(X1,X2,X3)=k10_finseq_1(X2,X3)|~m1_subset_1(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_25, plain, (~v1_xboole_0(k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_18])).
fof(c_0_26, plain, ![X25, X26]:(((v1_funct_1(X26)|~m2_finseq_1(X26,X25))&(v1_finseq_1(X26)|~m2_finseq_1(X26,X25)))&(m1_subset_1(X26,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X25)))|~m2_finseq_1(X26,X25))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_finseq_1])])])).
cnf(c_0_27, plain, (m2_finseq_1(k6_newton(X1),k1_numbers)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_28, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_20, c_0_21])).
fof(c_0_29, plain, ![X27]:(~v7_ordinal1(X27)|v3_card_1(k6_newton(X27),k2_xcmplx_0(X27,np__1))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc36_newton04])])).
fof(c_0_30, plain, ![X22]:((v7_ordinal1(X22)|(~v7_ordinal1(X22)|~v8_ordinal1(X22)))&(~v2_xxreal_0(X22)|(~v7_ordinal1(X22)|~v8_ordinal1(X22)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])).
cnf(c_0_31, plain, (v8_ordinal1(X1)|k1_funct_1(k6_newton(X1),X1)=X1|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_23])).
fof(c_0_32, plain, ![X29]:(~v7_ordinal1(X29)|k1_funct_1(k6_newton(X29),k2_xcmplx_0(X29,np__1))=np__1), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd43_newton04])])).
fof(c_0_33, negated_conjecture, k6_newton(np__1)!=k2_finseq_4(k4_ordinal1,np__1,np__1), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t59_newton07])])).
cnf(c_0_34, plain, (k2_finseq_4(k4_ordinal1,np__1,X1)=k10_finseq_1(np__1,X1)|~m1_subset_1(X1,k4_ordinal1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_21]), c_0_25])).
fof(c_0_35, plain, ![X19, X20, X21]:(~m1_subset_1(X21,k1_zfmisc_1(k2_zfmisc_1(X19,X20)))|v1_relat_1(X21)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])).
cnf(c_0_36, plain, (m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,X2)))|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_37, plain, (m2_finseq_1(k6_newton(np__1),k1_numbers)), inference(spm,[status(thm)],[c_0_27, c_0_28])).
fof(c_0_38, plain, ![X30]:(~v1_relat_1(X30)|~v1_funct_1(X30)|~v3_card_1(X30,np__2)|~v1_finseq_1(X30)|k10_finseq_1(k1_funct_1(X30,np__1),k1_funct_1(X30,np__2))=X30), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd9_newton07])])).
cnf(c_0_39, plain, (v3_card_1(k6_newton(X1),k2_xcmplx_0(X1,np__1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_40, plain, (k2_xcmplx_0(np__1,np__1)=np__2), inference(split_conjunct,[status(thm)],[rqRealAdd__k2_xcmplx_0__r1_r1_r2])).
cnf(c_0_41, plain, (~v2_xxreal_0(X1)|~v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_42, plain, (k1_funct_1(k6_newton(np__1),np__1)=np__1|v8_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_31, c_0_28])).
cnf(c_0_43, plain, (v2_xxreal_0(np__1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_44, plain, (k1_funct_1(k6_newton(X1),k2_xcmplx_0(X1,np__1))=np__1|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_45, plain, (v1_finseq_1(X1)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_46, plain, (v1_funct_1(X1)|~m2_finseq_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_47, negated_conjecture, (k6_newton(np__1)!=k2_finseq_4(k4_ordinal1,np__1,np__1)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_48, plain, (k2_finseq_4(k4_ordinal1,np__1,np__1)=k10_finseq_1(np__1,np__1)), inference(spm,[status(thm)],[c_0_34, c_0_21])).
cnf(c_0_49, plain, (v1_relat_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_50, plain, (m1_subset_1(k6_newton(np__1),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers)))), inference(spm,[status(thm)],[c_0_36, c_0_37])).
cnf(c_0_51, plain, (k10_finseq_1(k1_funct_1(X1,np__1),k1_funct_1(X1,np__2))=X1|~v1_relat_1(X1)|~v1_funct_1(X1)|~v3_card_1(X1,np__2)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_52, plain, (v3_card_1(k6_newton(np__1),np__2)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_28]), c_0_40])).
cnf(c_0_53, plain, (k1_funct_1(k6_newton(np__1),np__1)=np__1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_43]), c_0_28])])).
cnf(c_0_54, plain, (k1_funct_1(k6_newton(np__1),np__2)=np__1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_28]), c_0_40])).
cnf(c_0_55, plain, (v1_finseq_1(k6_newton(np__1))), inference(spm,[status(thm)],[c_0_45, c_0_37])).
cnf(c_0_56, plain, (v1_funct_1(k6_newton(np__1))), inference(spm,[status(thm)],[c_0_46, c_0_37])).
cnf(c_0_57, negated_conjecture, (k10_finseq_1(np__1,np__1)!=k6_newton(np__1)), inference(rw,[status(thm)],[c_0_47, c_0_48])).
cnf(c_0_58, plain, (v1_relat_1(k6_newton(np__1))), inference(spm,[status(thm)],[c_0_49, c_0_50])).
cnf(c_0_59, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[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_51, c_0_52]), c_0_53]), c_0_54]), c_0_55]), c_0_56])]), c_0_57]), c_0_58])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 60
# Proof object clause steps            : 31
# Proof object formula steps           : 29
# Proof object conjectures             : 4
# Proof object clause conjectures      : 2
# Proof object formula conjectures     : 2
# Proof object initial clauses used    : 17
# Proof object initial formulas used   : 14
# Proof object generating inferences   : 13
# Proof object simplifying inferences  : 15
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 14
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 19
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 18
# Processed clauses                    : 52
# ...of these trivial                  : 1
# ...subsumed                          : 0
# ...remaining for further processing  : 50
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 2
# Generated clauses                    : 17
# ...of the previous two non-trivial   : 18
# Contextual simplify-reflections      : 0
# Paramodulations                      : 17
# 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  : 30
#    Positive orientable unit clauses  : 14
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 14
# Current number of unprocessed clauses: 2
# ...number of literals in the above   : 6
# Current number of archived formulas  : 0
# Current number of archived clauses   : 20
# Clause-clause subsumption calls (NU) : 20
# Rec. Clause-clause subsumption calls : 12
# Non-unit clause-clause subsumptions  : 0
# Unit Clause-clause subsumption calls : 2
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 3
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 1669

# -------------------------------------------------
# User time                : 0.021 s
# System time              : 0.002 s
# Total time               : 0.024 s
# Maximum resident set size: 3532 pages
