# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.017 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d9_nat_3, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>![X2]:((((v1_relat_1(X2)&v4_relat_1(X2,k8_newton))&v1_funct_1(X2))&v1_partfun1(X2,k8_newton))=>(X2=k13_nat_3(X1)<=>(k13_pre_poly(X2)=k22_pre_poly(k8_newton,k12_nat_3(X1))&![X3]:(v7_ordinal1(X3)=>(r2_tarski(X3,k22_pre_poly(k8_newton,k12_nat_3(X1)))=>k1_funct_1(X2,X3)=k1_newton(X3,k11_nat_3(X1,X3)))))))), file('number14/number14__t52_number14', d9_nat_3)).
fof(fc21_nat_3, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>(((((v1_relat_1(k13_nat_3(X1))&v4_relat_1(k13_nat_3(X1),k8_newton))&v1_funct_1(k13_nat_3(X1)))&v1_partfun1(k13_nat_3(X1),k8_newton))&v6_valued_0(k13_nat_3(X1)))&v2_pre_poly(k13_nat_3(X1)))), file('number14/number14__t52_number14', fc21_nat_3)).
fof(t51_number14, axiom, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>k6_number14(X1)=k6_rfinseq2(k20_finseq_1(k22_pre_poly(k8_newton,k12_nat_3(X1))))), file('number14/number14__t52_number14', t51_number14)).
fof(t52_number14, conjecture, ![X1]:((v7_ordinal1(X1)&~(v8_ordinal1(X1)))=>k6_number14(X1)=k6_rfinseq2(k20_finseq_1(k22_pre_poly(k8_newton,k13_nat_3(X1))))), file('number14/number14__t52_number14', t52_number14)).
fof(redefinition_k22_pre_poly, axiom, ![X1, X2]:((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v6_valued_0(X2))&v2_pre_poly(X2))=>k22_pre_poly(X1,X2)=k13_pre_poly(X2)), file('number14/number14__t52_number14', redefinition_k22_pre_poly)).
fof(c_0_5, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>![X2]:((((v1_relat_1(X2)&v4_relat_1(X2,k8_newton))&v1_funct_1(X2))&v1_partfun1(X2,k8_newton))=>(X2=k13_nat_3(X1)<=>(k13_pre_poly(X2)=k22_pre_poly(k8_newton,k12_nat_3(X1))&![X3]:(v7_ordinal1(X3)=>(r2_tarski(X3,k22_pre_poly(k8_newton,k12_nat_3(X1)))=>k1_funct_1(X2,X3)=k1_newton(X3,k11_nat_3(X1,X3)))))))), inference(fof_simplification,[status(thm)],[d9_nat_3])).
fof(c_0_6, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>(((((v1_relat_1(k13_nat_3(X1))&v4_relat_1(k13_nat_3(X1),k8_newton))&v1_funct_1(k13_nat_3(X1)))&v1_partfun1(k13_nat_3(X1),k8_newton))&v6_valued_0(k13_nat_3(X1)))&v2_pre_poly(k13_nat_3(X1)))), inference(fof_simplification,[status(thm)],[fc21_nat_3])).
fof(c_0_7, plain, ![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>k6_number14(X1)=k6_rfinseq2(k20_finseq_1(k22_pre_poly(k8_newton,k12_nat_3(X1))))), inference(fof_simplification,[status(thm)],[t51_number14])).
fof(c_0_8, negated_conjecture, ~(![X1]:((v7_ordinal1(X1)&~v8_ordinal1(X1))=>k6_number14(X1)=k6_rfinseq2(k20_finseq_1(k22_pre_poly(k8_newton,k13_nat_3(X1)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t52_number14])])).
fof(c_0_9, plain, ![X13, X14, X15]:(((k13_pre_poly(X14)=k22_pre_poly(k8_newton,k12_nat_3(X13))|X14!=k13_nat_3(X13)|(~v1_relat_1(X14)|~v4_relat_1(X14,k8_newton)|~v1_funct_1(X14)|~v1_partfun1(X14,k8_newton))|(~v7_ordinal1(X13)|v8_ordinal1(X13)))&(~v7_ordinal1(X15)|(~r2_tarski(X15,k22_pre_poly(k8_newton,k12_nat_3(X13)))|k1_funct_1(X14,X15)=k1_newton(X15,k11_nat_3(X13,X15)))|X14!=k13_nat_3(X13)|(~v1_relat_1(X14)|~v4_relat_1(X14,k8_newton)|~v1_funct_1(X14)|~v1_partfun1(X14,k8_newton))|(~v7_ordinal1(X13)|v8_ordinal1(X13))))&((v7_ordinal1(esk2_2(X13,X14))|k13_pre_poly(X14)!=k22_pre_poly(k8_newton,k12_nat_3(X13))|X14=k13_nat_3(X13)|(~v1_relat_1(X14)|~v4_relat_1(X14,k8_newton)|~v1_funct_1(X14)|~v1_partfun1(X14,k8_newton))|(~v7_ordinal1(X13)|v8_ordinal1(X13)))&((r2_tarski(esk2_2(X13,X14),k22_pre_poly(k8_newton,k12_nat_3(X13)))|k13_pre_poly(X14)!=k22_pre_poly(k8_newton,k12_nat_3(X13))|X14=k13_nat_3(X13)|(~v1_relat_1(X14)|~v4_relat_1(X14,k8_newton)|~v1_funct_1(X14)|~v1_partfun1(X14,k8_newton))|(~v7_ordinal1(X13)|v8_ordinal1(X13)))&(k1_funct_1(X14,esk2_2(X13,X14))!=k1_newton(esk2_2(X13,X14),k11_nat_3(X13,esk2_2(X13,X14)))|k13_pre_poly(X14)!=k22_pre_poly(k8_newton,k12_nat_3(X13))|X14=k13_nat_3(X13)|(~v1_relat_1(X14)|~v4_relat_1(X14,k8_newton)|~v1_funct_1(X14)|~v1_partfun1(X14,k8_newton))|(~v7_ordinal1(X13)|v8_ordinal1(X13)))))), 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_5])])])])])).
fof(c_0_10, plain, ![X17]:((((((v1_relat_1(k13_nat_3(X17))|(~v7_ordinal1(X17)|v8_ordinal1(X17)))&(v4_relat_1(k13_nat_3(X17),k8_newton)|(~v7_ordinal1(X17)|v8_ordinal1(X17))))&(v1_funct_1(k13_nat_3(X17))|(~v7_ordinal1(X17)|v8_ordinal1(X17))))&(v1_partfun1(k13_nat_3(X17),k8_newton)|(~v7_ordinal1(X17)|v8_ordinal1(X17))))&(v6_valued_0(k13_nat_3(X17))|(~v7_ordinal1(X17)|v8_ordinal1(X17))))&(v2_pre_poly(k13_nat_3(X17))|(~v7_ordinal1(X17)|v8_ordinal1(X17)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])).
fof(c_0_11, plain, ![X20]:(~v7_ordinal1(X20)|v8_ordinal1(X20)|k6_number14(X20)=k6_rfinseq2(k20_finseq_1(k22_pre_poly(k8_newton,k12_nat_3(X20))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])).
fof(c_0_12, negated_conjecture, ((v7_ordinal1(esk1_0)&~v8_ordinal1(esk1_0))&k6_number14(esk1_0)!=k6_rfinseq2(k20_finseq_1(k22_pre_poly(k8_newton,k13_nat_3(esk1_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
cnf(c_0_13, plain, (k13_pre_poly(X1)=k22_pre_poly(k8_newton,k12_nat_3(X2))|v8_ordinal1(X2)|X1!=k13_nat_3(X2)|~v1_relat_1(X1)|~v4_relat_1(X1,k8_newton)|~v1_funct_1(X1)|~v1_partfun1(X1,k8_newton)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_14, plain, (v1_relat_1(k13_nat_3(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_15, plain, (v4_relat_1(k13_nat_3(X1),k8_newton)|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_16, plain, (v1_funct_1(k13_nat_3(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_17, plain, (v1_partfun1(k13_nat_3(X1),k8_newton)|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_18, plain, (v8_ordinal1(X1)|k6_number14(X1)=k6_rfinseq2(k20_finseq_1(k22_pre_poly(k8_newton,k12_nat_3(X1))))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_19, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_20, negated_conjecture, (~v8_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_21, plain, (k22_pre_poly(k8_newton,k12_nat_3(X1))=k13_pre_poly(k13_nat_3(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_13]), c_0_14]), c_0_15]), c_0_16]), c_0_17])).
fof(c_0_22, plain, ![X18, X19]:(~v1_relat_1(X19)|~v4_relat_1(X19,X18)|~v1_funct_1(X19)|~v1_partfun1(X19,X18)|~v6_valued_0(X19)|~v2_pre_poly(X19)|k22_pre_poly(X18,X19)=k13_pre_poly(X19)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k22_pre_poly])])).
cnf(c_0_23, plain, (v2_pre_poly(k13_nat_3(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_24, plain, (v6_valued_0(k13_nat_3(X1))|v8_ordinal1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_25, negated_conjecture, (k6_rfinseq2(k20_finseq_1(k22_pre_poly(k8_newton,k12_nat_3(esk1_0))))=k6_number14(esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_20])).
cnf(c_0_26, negated_conjecture, (k22_pre_poly(k8_newton,k12_nat_3(esk1_0))=k13_pre_poly(k13_nat_3(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_19]), c_0_20])).
cnf(c_0_27, plain, (k22_pre_poly(X2,X1)=k13_pre_poly(X1)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)|~v1_funct_1(X1)|~v1_partfun1(X1,X2)|~v6_valued_0(X1)|~v2_pre_poly(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_28, negated_conjecture, (v1_partfun1(k13_nat_3(esk1_0),k8_newton)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_19]), c_0_20])).
cnf(c_0_29, negated_conjecture, (v2_pre_poly(k13_nat_3(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_19]), c_0_20])).
cnf(c_0_30, negated_conjecture, (v6_valued_0(k13_nat_3(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_19]), c_0_20])).
cnf(c_0_31, negated_conjecture, (v1_funct_1(k13_nat_3(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_19]), c_0_20])).
cnf(c_0_32, negated_conjecture, (v4_relat_1(k13_nat_3(esk1_0),k8_newton)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_19]), c_0_20])).
cnf(c_0_33, negated_conjecture, (v1_relat_1(k13_nat_3(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_19]), c_0_20])).
cnf(c_0_34, negated_conjecture, (k6_rfinseq2(k20_finseq_1(k13_pre_poly(k13_nat_3(esk1_0))))=k6_number14(esk1_0)), inference(rw,[status(thm)],[c_0_25, c_0_26])).
cnf(c_0_35, negated_conjecture, (k13_pre_poly(k13_nat_3(esk1_0))=k22_pre_poly(k8_newton,k13_nat_3(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_27, c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33])])).
cnf(c_0_36, negated_conjecture, (k6_number14(esk1_0)!=k6_rfinseq2(k20_finseq_1(k22_pre_poly(k8_newton,k13_nat_3(esk1_0))))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_37, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35]), c_0_36]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 38
# Proof object clause steps            : 24
# Proof object formula steps           : 14
# Proof object conjectures             : 17
# Proof object clause conjectures      : 14
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 12
# Proof object initial formulas used   : 5
# Proof object generating inferences   : 9
# Proof object simplifying inferences  : 22
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 5
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 16
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 16
# Processed clauses                    : 40
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 40
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 3
# Generated clauses                    : 11
# ...of the previous two non-trivial   : 12
# Contextual simplify-reflections      : 8
# Paramodulations                      : 9
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 2
# 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  : 19
#    Positive orientable unit clauses  : 8
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 9
# Current number of unprocessed clauses: 4
# ...number of literals in the above   : 32
# Current number of archived formulas  : 0
# Current number of archived clauses   : 19
# Clause-clause subsumption calls (NU) : 209
# Rec. Clause-clause subsumption calls : 47
# Non-unit clause-clause subsumptions  : 8
# Unit Clause-clause subsumption calls : 0
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 4
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2038

# -------------------------------------------------
# User time                : 0.021 s
# System time              : 0.000 s
# Total time               : 0.021 s
# Maximum resident set size: 2912 pages
