# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S084A
# and selection function SelectCQIArNT.
#
# Preprocessing time       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('pdlax/pdlax__l1_pdlax', cc8_ordinal1)).
fof(connectedness_r1_xxreal_0, axiom, ![X1, X2]:((v1_xxreal_0(X1)&v1_xxreal_0(X2))=>(r1_xxreal_0(X1,X2)|r1_xxreal_0(X2,X1))), file('pdlax/pdlax__l1_pdlax', connectedness_r1_xxreal_0)).
fof(cc4_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xxreal_0(X1)), file('pdlax/pdlax__l1_pdlax', cc4_xreal_0)).
fof(t4_real, axiom, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>~(((r1_xxreal_0(X1,X2)&~(v2_xxreal_0(X2)))&v2_xxreal_0(X1))))), file('pdlax/pdlax__l1_pdlax', t4_real)).
fof(cc2_xreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xreal_0(X1)), file('pdlax/pdlax__l1_pdlax', cc2_xreal_0)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('pdlax/pdlax__l1_pdlax', spc1_numerals)).
fof(spc313_numerals, axiom, (v2_xxreal_0(np__313)&m1_subset_1(np__313,k4_ordinal1)), file('pdlax/pdlax__l1_pdlax', spc313_numerals)).
fof(cc3_xxreal_0, axiom, ![X1]:((v1_xxreal_0(X1)&v2_xxreal_0(X1))=>((~(v8_ordinal1(X1))&v1_xxreal_0(X1))&~(v3_xxreal_0(X1)))), file('pdlax/pdlax__l1_pdlax', cc3_xxreal_0)).
fof(cc2_xxreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xxreal_0(X1)), file('pdlax/pdlax__l1_pdlax', cc2_xxreal_0)).
fof(spc100_numerals, axiom, (v2_xxreal_0(np__100)&m1_subset_1(np__100,k4_ordinal1)), file('pdlax/pdlax__l1_pdlax', spc100_numerals)).
fof(fc6_xreal_0, axiom, ![X1, X2]:((v1_xreal_0(X1)&v1_xreal_0(X2))=>v1_xreal_0(k3_xcmplx_0(X1,X2))), file('pdlax/pdlax__l1_pdlax', fc6_xreal_0)).
fof(l1_pdlax, conjecture, ~(r1_xxreal_0(k28_sin_cos,k5_numbers)), file('pdlax/pdlax__l1_pdlax', l1_pdlax)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1), file('pdlax/pdlax__l1_pdlax', fc8_ordinal1)).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn313d100, axiom, r1_xxreal_0(np__1,k7_xcmplx_0(np__313,np__100)), file('pdlax/pdlax__l1_pdlax', rqLessOrEqual__r1_xxreal_0__r1_rn313d100)).
fof(fc8_xreal_0, axiom, ![X1, X2]:((v1_xreal_0(X1)&v1_xreal_0(X2))=>v1_xreal_0(k7_xcmplx_0(X1,X2))), file('pdlax/pdlax__l1_pdlax', fc8_xreal_0)).
fof(rqRealMult__k3_xcmplx_0__r313_rn1d100_rn313d100, axiom, k3_xcmplx_0(np__313,k7_xcmplx_0(np__1,np__100))=k7_xcmplx_0(np__313,np__100), file('pdlax/pdlax__l1_pdlax', rqRealMult__k3_xcmplx_0__r313_rn1d100_rn313d100)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('pdlax/pdlax__l1_pdlax', redefinition_k5_numbers)).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1), file('pdlax/pdlax__l1_pdlax', fc9_ordinal1)).
fof(t17_leibniz1, axiom, (~(r1_xxreal_0(k28_sin_cos,k7_xcmplx_0(np__313,np__100)))&~(r1_xxreal_0(k7_xcmplx_0(np__315,np__100),k28_sin_cos))), file('pdlax/pdlax__l1_pdlax', t17_leibniz1)).
fof(dt_k28_sin_cos, axiom, v1_xreal_0(k28_sin_cos), file('pdlax/pdlax__l1_pdlax', dt_k28_sin_cos)).
fof(c_0_20, plain, ![X20]:(~m1_subset_1(X20,k4_ordinal1)|v7_ordinal1(X20)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
fof(c_0_21, plain, ![X27, X28]:(~v1_xxreal_0(X27)|~v1_xxreal_0(X28)|(r1_xxreal_0(X27,X28)|r1_xxreal_0(X28,X27))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connectedness_r1_xxreal_0])])).
fof(c_0_22, plain, ![X19]:(~v1_xreal_0(X19)|v1_xxreal_0(X19)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_xreal_0])])).
fof(c_0_23, plain, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>~(((r1_xxreal_0(X1,X2)&~v2_xxreal_0(X2))&v2_xxreal_0(X1))))), inference(fof_simplification,[status(thm)],[t4_real])).
fof(c_0_24, plain, ![X16]:(~v7_ordinal1(X16)|v1_xreal_0(X16)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xreal_0])])).
cnf(c_0_25, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_26, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_27, plain, (m1_subset_1(np__313,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc313_numerals])).
fof(c_0_28, plain, ![X1]:((v1_xxreal_0(X1)&v2_xxreal_0(X1))=>((~v8_ordinal1(X1)&v1_xxreal_0(X1))&~v3_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc3_xxreal_0])).
fof(c_0_29, plain, ![X17]:(~v7_ordinal1(X17)|v1_xxreal_0(X17)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xxreal_0])])).
cnf(c_0_30, plain, (r1_xxreal_0(X1,X2)|r1_xxreal_0(X2,X1)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_31, plain, (v1_xxreal_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_22])).
fof(c_0_32, plain, ![X25, X26]:(~v1_xreal_0(X25)|(~v1_xreal_0(X26)|(~r1_xxreal_0(X25,X26)|v2_xxreal_0(X26)|~v2_xxreal_0(X25)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])).
cnf(c_0_33, plain, (v1_xreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_34, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_25, c_0_26])).
cnf(c_0_35, plain, (m1_subset_1(np__100,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc100_numerals])).
fof(c_0_36, plain, ![X21, X22]:(~v1_xreal_0(X21)|~v1_xreal_0(X22)|v1_xreal_0(k3_xcmplx_0(X21,X22))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc6_xreal_0])])).
cnf(c_0_37, plain, (v7_ordinal1(np__313)), inference(spm,[status(thm)],[c_0_25, c_0_27])).
fof(c_0_38, negated_conjecture, r1_xxreal_0(k28_sin_cos,k5_numbers), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l1_pdlax])])).
fof(c_0_39, plain, ![X18]:(((~v8_ordinal1(X18)|(~v1_xxreal_0(X18)|~v2_xxreal_0(X18)))&(v1_xxreal_0(X18)|(~v1_xxreal_0(X18)|~v2_xxreal_0(X18))))&(~v3_xxreal_0(X18)|(~v1_xxreal_0(X18)|~v2_xxreal_0(X18)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])).
cnf(c_0_40, plain, (v1_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_41, plain, (v7_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc8_ordinal1])).
cnf(c_0_42, plain, (r1_xxreal_0(X1,X2)|r1_xxreal_0(X2,X1)|~v1_xxreal_0(X2)|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_30, c_0_31])).
cnf(c_0_43, plain, (v2_xxreal_0(X2)|~v1_xreal_0(X1)|~v1_xreal_0(X2)|~r1_xxreal_0(X1,X2)|~v2_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_44, plain, (r1_xxreal_0(np__1,k7_xcmplx_0(np__313,np__100))), inference(split_conjunct,[status(thm)],[rqLessOrEqual__r1_xxreal_0__r1_rn313d100])).
cnf(c_0_45, plain, (v2_xxreal_0(np__1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_46, plain, (v1_xreal_0(np__1)), inference(spm,[status(thm)],[c_0_33, c_0_34])).
fof(c_0_47, plain, ![X23, X24]:(~v1_xreal_0(X23)|~v1_xreal_0(X24)|v1_xreal_0(k7_xcmplx_0(X23,X24))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc8_xreal_0])])).
cnf(c_0_48, plain, (v7_ordinal1(np__100)), inference(spm,[status(thm)],[c_0_25, c_0_35])).
cnf(c_0_49, plain, (v1_xreal_0(k3_xcmplx_0(X1,X2))|~v1_xreal_0(X1)|~v1_xreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_50, plain, (k3_xcmplx_0(np__313,k7_xcmplx_0(np__1,np__100))=k7_xcmplx_0(np__313,np__100)), inference(split_conjunct,[status(thm)],[rqRealMult__k3_xcmplx_0__r313_rn1d100_rn313d100])).
cnf(c_0_51, plain, (v1_xreal_0(np__313)), inference(spm,[status(thm)],[c_0_33, c_0_37])).
cnf(c_0_52, negated_conjecture, (r1_xxreal_0(k28_sin_cos,k5_numbers)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_53, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
cnf(c_0_54, plain, (~v8_ordinal1(X1)|~v1_xxreal_0(X1)|~v2_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_55, plain, (v8_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc9_ordinal1])).
cnf(c_0_56, plain, (v1_xxreal_0(k5_ordinal1)), inference(spm,[status(thm)],[c_0_40, c_0_41])).
fof(c_0_57, plain, (~r1_xxreal_0(k28_sin_cos,k7_xcmplx_0(np__313,np__100))&~r1_xxreal_0(k7_xcmplx_0(np__315,np__100),k28_sin_cos)), inference(fof_simplification,[status(thm)],[t17_leibniz1])).
cnf(c_0_58, plain, (r1_xxreal_0(X1,X2)|r1_xxreal_0(X2,X1)|~v1_xreal_0(X2)|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_42, c_0_31])).
cnf(c_0_59, plain, (v2_xxreal_0(k7_xcmplx_0(np__313,np__100))|~v1_xreal_0(k7_xcmplx_0(np__313,np__100))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_45]), c_0_46])])).
cnf(c_0_60, plain, (v1_xreal_0(k7_xcmplx_0(X1,X2))|~v1_xreal_0(X1)|~v1_xreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_61, plain, (v1_xreal_0(np__100)), inference(spm,[status(thm)],[c_0_33, c_0_48])).
cnf(c_0_62, plain, (v1_xreal_0(k7_xcmplx_0(np__313,np__100))|~v1_xreal_0(k7_xcmplx_0(np__1,np__100))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_51])])).
cnf(c_0_63, negated_conjecture, (r1_xxreal_0(k28_sin_cos,k5_ordinal1)), inference(rw,[status(thm)],[c_0_52, c_0_53])).
cnf(c_0_64, plain, (v1_xreal_0(k5_ordinal1)), inference(spm,[status(thm)],[c_0_33, c_0_41])).
cnf(c_0_65, plain, (v1_xreal_0(k28_sin_cos)), inference(split_conjunct,[status(thm)],[dt_k28_sin_cos])).
cnf(c_0_66, plain, (~v2_xxreal_0(k5_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_56])])).
cnf(c_0_67, plain, (~r1_xxreal_0(k28_sin_cos,k7_xcmplx_0(np__313,np__100))), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_68, plain, (v2_xxreal_0(X1)|r1_xxreal_0(X1,X2)|~v2_xxreal_0(X2)|~v1_xreal_0(X1)|~v1_xreal_0(X2)), inference(spm,[status(thm)],[c_0_43, c_0_58])).
cnf(c_0_69, plain, (v2_xxreal_0(k7_xcmplx_0(np__313,np__100))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_61]), c_0_51])])).
cnf(c_0_70, plain, (v1_xreal_0(k7_xcmplx_0(np__313,np__100))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_60]), c_0_61]), c_0_46])])).
cnf(c_0_71, negated_conjecture, (~v2_xxreal_0(k28_sin_cos)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_63]), c_0_64]), c_0_65])]), c_0_66])).
cnf(c_0_72, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_68]), c_0_69]), c_0_65]), c_0_70])]), c_0_71]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 73
# Proof object clause steps            : 40
# Proof object formula steps           : 33
# Proof object conjectures             : 5
# Proof object clause conjectures      : 3
# Proof object formula conjectures     : 2
# Proof object initial clauses used    : 21
# Proof object initial formulas used   : 20
# Proof object generating inferences   : 18
# Proof object simplifying inferences  : 23
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 20
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 26
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 25
# Processed clauses                    : 109
# ...of these trivial                  : 0
# ...subsumed                          : 14
# ...remaining for further processing  : 95
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 2
# Generated clauses                    : 93
# ...of the previous two non-trivial   : 65
# Contextual simplify-reflections      : 0
# Paramodulations                      : 83
# Factorizations                       : 10
# 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  : 68
#    Positive orientable unit clauses  : 30
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 34
# Current number of unprocessed clauses: 5
# ...number of literals in the above   : 17
# Current number of archived formulas  : 0
# Current number of archived clauses   : 27
# Clause-clause subsumption calls (NU) : 391
# Rec. Clause-clause subsumption calls : 267
# Non-unit clause-clause subsumptions  : 13
# Unit Clause-clause subsumption calls : 13
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 2
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2568

# -------------------------------------------------
# User time                : 0.024 s
# System time              : 0.002 s
# Total time               : 0.026 s
# Maximum resident set size: 3540 pages
