# 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       : 0.027 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t38_e_trans2, conjecture, ![X1]:((v7_ordinal1(X1)&v2_xxreal_0(X1))=>(v2_comseq_2(k4_sin_cos(k1_newton(X1,k1_nat_1(X1,np__1))))&k1_seq_2(k4_sin_cos(k1_newton(X1,k1_nat_1(X1,np__1))))=k5_numbers)), file('e_trans2/e_trans2__t38_e_trans2', t38_e_trans2)).
fof(t4_series_1, axiom, ![X1]:(((v1_funct_1(X1)&v1_funct_2(X1,k4_ordinal1,k1_numbers))&m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))))=>(v1_series_1(X1)=>(v2_comseq_2(X1)&k1_seq_2(X1)=k5_numbers))), file('e_trans2/e_trans2__t38_e_trans2', t4_series_1)).
fof(dt_k4_sin_cos, axiom, ![X1]:(v1_xreal_0(X1)=>((v1_funct_1(k4_sin_cos(X1))&v1_funct_2(k4_sin_cos(X1),k4_ordinal1,k1_numbers))&m1_subset_1(k4_sin_cos(X1),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers))))), file('e_trans2/e_trans2__t38_e_trans2', dt_k4_sin_cos)).
fof(t45_sin_cos, axiom, ![X1]:(v1_xreal_0(X1)=>(v1_series_1(k4_sin_cos(X1))&k4_series_1(k4_sin_cos(X1))=k3_complex1(k11_comseq_3(k3_sin_cos(X1))))), file('e_trans2/e_trans2__t38_e_trans2', t45_sin_cos)).
fof(cc2_xreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xreal_0(X1)), file('e_trans2/e_trans2__t38_e_trans2', cc2_xreal_0)).
fof(cc6_card_1, axiom, ![X1]:((v3_ordinal1(X1)&v1_finset_1(X1))=>v7_ordinal1(X1)), file('e_trans2/e_trans2__t38_e_trans2', cc6_card_1)).
fof(cc4_card_1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v1_finset_1(X1)), file('e_trans2/e_trans2__t38_e_trans2', cc4_card_1)).
fof(cc5_ordinal1, axiom, ![X1]:(v3_ordinal1(X1)=>![X2]:(m1_subset_1(X2,X1)=>v3_ordinal1(X2))), file('e_trans2/e_trans2__t38_e_trans2', cc5_ordinal1)).
fof(dt_k1_nat_1, axiom, ![X1, X2]:((v7_ordinal1(X1)&m1_subset_1(X2,k4_ordinal1))=>m1_subset_1(k1_nat_1(X1,X2),k4_ordinal1)), file('e_trans2/e_trans2__t38_e_trans2', dt_k1_nat_1)).
fof(fc6_ordinal1, axiom, (~(v1_xboole_0(k4_ordinal1))&v3_ordinal1(k4_ordinal1)), file('e_trans2/e_trans2__t38_e_trans2', fc6_ordinal1)).
fof(fc2_newton, axiom, ![X1, X2]:((v1_xreal_0(X1)&v7_ordinal1(X2))=>v1_xreal_0(k1_newton(X1,X2))), file('e_trans2/e_trans2__t38_e_trans2', fc2_newton)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('e_trans2/e_trans2__t38_e_trans2', spc1_numerals)).
fof(c_0_12, negated_conjecture, ~(![X1]:((v7_ordinal1(X1)&v2_xxreal_0(X1))=>(v2_comseq_2(k4_sin_cos(k1_newton(X1,k1_nat_1(X1,np__1))))&k1_seq_2(k4_sin_cos(k1_newton(X1,k1_nat_1(X1,np__1))))=k5_numbers))), inference(assume_negation,[status(cth)],[t38_e_trans2])).
fof(c_0_13, plain, ![X28]:((v2_comseq_2(X28)|~v1_series_1(X28)|(~v1_funct_1(X28)|~v1_funct_2(X28,k4_ordinal1,k1_numbers)|~m1_subset_1(X28,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers)))))&(k1_seq_2(X28)=k5_numbers|~v1_series_1(X28)|(~v1_funct_1(X28)|~v1_funct_2(X28,k4_ordinal1,k1_numbers)|~m1_subset_1(X28,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_series_1])])])).
fof(c_0_14, plain, ![X24]:(((v1_funct_1(k4_sin_cos(X24))|~v1_xreal_0(X24))&(v1_funct_2(k4_sin_cos(X24),k4_ordinal1,k1_numbers)|~v1_xreal_0(X24)))&(m1_subset_1(k4_sin_cos(X24),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers)))|~v1_xreal_0(X24))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_sin_cos])])])).
fof(c_0_15, plain, ![X27]:((v1_series_1(k4_sin_cos(X27))|~v1_xreal_0(X27))&(k4_series_1(k4_sin_cos(X27))=k3_complex1(k11_comseq_3(k3_sin_cos(X27)))|~v1_xreal_0(X27))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t45_sin_cos])])])).
fof(c_0_16, negated_conjecture, ((v7_ordinal1(esk1_0)&v2_xxreal_0(esk1_0))&(~v2_comseq_2(k4_sin_cos(k1_newton(esk1_0,k1_nat_1(esk1_0,np__1))))|k1_seq_2(k4_sin_cos(k1_newton(esk1_0,k1_nat_1(esk1_0,np__1))))!=k5_numbers)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])).
cnf(c_0_17, plain, (v2_comseq_2(X1)|~v1_series_1(X1)|~v1_funct_1(X1)|~v1_funct_2(X1,k4_ordinal1,k1_numbers)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers)))), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_18, plain, (m1_subset_1(k4_sin_cos(X1),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers)))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_19, plain, (v1_funct_1(k4_sin_cos(X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_20, plain, (v1_funct_2(k4_sin_cos(X1),k4_ordinal1,k1_numbers)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_21, plain, (v1_series_1(k4_sin_cos(X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_22, negated_conjecture, (~v2_comseq_2(k4_sin_cos(k1_newton(esk1_0,k1_nat_1(esk1_0,np__1))))|k1_seq_2(k4_sin_cos(k1_newton(esk1_0,k1_nat_1(esk1_0,np__1))))!=k5_numbers), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_23, plain, (v2_comseq_2(k4_sin_cos(X1))|~v1_xreal_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19]), c_0_20]), c_0_21])).
cnf(c_0_24, plain, (k1_seq_2(X1)=k5_numbers|~v1_series_1(X1)|~v1_funct_1(X1)|~v1_funct_2(X1,k4_ordinal1,k1_numbers)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,k1_numbers)))), inference(split_conjunct,[status(thm)],[c_0_13])).
fof(c_0_25, plain, ![X17]:(~v7_ordinal1(X17)|v1_xreal_0(X17)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xreal_0])])).
fof(c_0_26, plain, ![X21]:(~v3_ordinal1(X21)|~v1_finset_1(X21)|v7_ordinal1(X21)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc6_card_1])])).
fof(c_0_27, plain, ![X18]:(~m1_subset_1(X18,k4_ordinal1)|v1_finset_1(X18)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_card_1])])).
fof(c_0_28, plain, ![X19, X20]:(~v3_ordinal1(X19)|(~m1_subset_1(X20,X19)|v3_ordinal1(X20))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc5_ordinal1])])])).
fof(c_0_29, plain, ![X22, X23]:(~v7_ordinal1(X22)|~m1_subset_1(X23,k4_ordinal1)|m1_subset_1(k1_nat_1(X22,X23),k4_ordinal1)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_nat_1])])).
fof(c_0_30, plain, (~v1_xboole_0(k4_ordinal1)&v3_ordinal1(k4_ordinal1)), inference(fof_simplification,[status(thm)],[fc6_ordinal1])).
cnf(c_0_31, negated_conjecture, (k1_seq_2(k4_sin_cos(k1_newton(esk1_0,k1_nat_1(esk1_0,np__1))))!=k5_numbers|~v1_xreal_0(k1_newton(esk1_0,k1_nat_1(esk1_0,np__1)))), inference(spm,[status(thm)],[c_0_22, c_0_23])).
cnf(c_0_32, plain, (k1_seq_2(k4_sin_cos(X1))=k5_numbers|~v1_xreal_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_18]), c_0_19]), c_0_20]), c_0_21])).
fof(c_0_33, plain, ![X25, X26]:(~v1_xreal_0(X25)|~v7_ordinal1(X26)|v1_xreal_0(k1_newton(X25,X26))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_newton])])).
cnf(c_0_34, plain, (v1_xreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_35, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_36, plain, (v7_ordinal1(X1)|~v3_ordinal1(X1)|~v1_finset_1(X1)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_37, plain, (v1_finset_1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_38, plain, (v3_ordinal1(X2)|~v3_ordinal1(X1)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_39, plain, (m1_subset_1(k1_nat_1(X1,X2),k4_ordinal1)|~v7_ordinal1(X1)|~m1_subset_1(X2,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_40, plain, (v3_ordinal1(k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_30])).
cnf(c_0_41, negated_conjecture, (~v1_xreal_0(k1_newton(esk1_0,k1_nat_1(esk1_0,np__1)))), inference(spm,[status(thm)],[c_0_31, c_0_32])).
cnf(c_0_42, plain, (v1_xreal_0(k1_newton(X1,X2))|~v1_xreal_0(X1)|~v7_ordinal1(X2)), inference(split_conjunct,[status(thm)],[c_0_33])).
cnf(c_0_43, negated_conjecture, (v1_xreal_0(esk1_0)), inference(spm,[status(thm)],[c_0_34, c_0_35])).
cnf(c_0_44, plain, (v7_ordinal1(X1)|~v3_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(spm,[status(thm)],[c_0_36, c_0_37])).
cnf(c_0_45, plain, (v3_ordinal1(k1_nat_1(X1,X2))|~m1_subset_1(X2,k4_ordinal1)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40])])).
cnf(c_0_46, negated_conjecture, (~v7_ordinal1(k1_nat_1(esk1_0,np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_43])])).
cnf(c_0_47, plain, (v7_ordinal1(k1_nat_1(X1,X2))|~m1_subset_1(X2,k4_ordinal1)|~v7_ordinal1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_39])).
cnf(c_0_48, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_49, negated_conjecture, ($false), inference(cn,[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_35])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 50
# Proof object clause steps            : 26
# Proof object formula steps           : 24
# Proof object conjectures             : 10
# Proof object clause conjectures      : 7
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 16
# Proof object initial formulas used   : 12
# Proof object generating inferences   : 10
# Proof object simplifying inferences  : 14
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 13
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 21
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 21
# Processed clauses                    : 58
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 58
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 17
# ...of the previous two non-trivial   : 16
# Contextual simplify-reflections      : 7
# 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  : 37
#    Positive orientable unit clauses  : 10
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 24
# Current number of unprocessed clauses: 0
# ...number of literals in the above   : 0
# Current number of archived formulas  : 0
# Current number of archived clauses   : 21
# Clause-clause subsumption calls (NU) : 111
# Rec. Clause-clause subsumption calls : 73
# Non-unit clause-clause subsumptions  : 7
# Unit Clause-clause subsumption calls : 10
# 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          : 1880

# -------------------------------------------------
# User time                : 0.024 s
# System time              : 0.008 s
# Total time               : 0.032 s
# Maximum resident set size: 3524 pages
