# 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       : 0.032 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d1_ascoli, axiom, ![X1]:((((((~(v2_struct_0(X1))&v6_metric_1(X1))&v7_metric_1(X1))&v8_metric_1(X1))&v9_metric_1(X1))&l1_metric_1(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))=>![X3]:(m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))=>(X3=k1_ascoli(X1,X2)<=>?[X4]:((m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(X1))))&X4=X2)&X3=k2_pre_topc(k3_pcomps_1(X1),X4)))))), file('ascoli2/ascoli2__t1_ascoli2', d1_ascoli)).
fof(dt_k1_ascoli, axiom, ![X1, X2]:(((((((~(v2_struct_0(X1))&v6_metric_1(X1))&v7_metric_1(X1))&v8_metric_1(X1))&v9_metric_1(X1))&l1_metric_1(X1))&m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))))=>m1_subset_1(k1_ascoli(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))), file('ascoli2/ascoli2__t1_ascoli2', dt_k1_ascoli)).
fof(t1_ascoli2, conjecture, ![X1]:((((((~(v2_struct_0(X1))&v6_metric_1(X1))&v7_metric_1(X1))&v8_metric_1(X1))&v9_metric_1(X1))&l1_metric_1(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))=>r1_tarski(X2,k1_ascoli(X1,X2)))), file('ascoli2/ascoli2__t1_ascoli2', t1_ascoli2)).
fof(t18_pre_topc, axiom, ![X1]:(l1_pre_topc(X1)=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))=>r1_tarski(X2,k2_pre_topc(X1,X2)))), file('ascoli2/ascoli2__t1_ascoli2', t18_pre_topc)).
fof(dt_k3_pcomps_1, axiom, ![X1]:(l1_metric_1(X1)=>l1_pre_topc(k3_pcomps_1(X1))), file('ascoli2/ascoli2__t1_ascoli2', dt_k3_pcomps_1)).
fof(c_0_5, plain, ![X1]:((((((~v2_struct_0(X1)&v6_metric_1(X1))&v7_metric_1(X1))&v8_metric_1(X1))&v9_metric_1(X1))&l1_metric_1(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))=>![X3]:(m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))=>(X3=k1_ascoli(X1,X2)<=>?[X4]:((m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(X1))))&X4=X2)&X3=k2_pre_topc(k3_pcomps_1(X1),X4)))))), inference(fof_simplification,[status(thm)],[d1_ascoli])).
fof(c_0_6, plain, ![X1, X2]:(((((((~v2_struct_0(X1)&v6_metric_1(X1))&v7_metric_1(X1))&v8_metric_1(X1))&v9_metric_1(X1))&l1_metric_1(X1))&m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))))=>m1_subset_1(k1_ascoli(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))), inference(fof_simplification,[status(thm)],[dt_k1_ascoli])).
fof(c_0_7, plain, ![X18, X19, X20, X22]:((((m1_subset_1(esk3_3(X18,X19,X20),k1_zfmisc_1(u1_struct_0(k3_pcomps_1(X18))))|X20!=k1_ascoli(X18,X19)|~m1_subset_1(X20,k1_zfmisc_1(u1_struct_0(X18)))|~m1_subset_1(X19,k1_zfmisc_1(u1_struct_0(X18)))|(v2_struct_0(X18)|~v6_metric_1(X18)|~v7_metric_1(X18)|~v8_metric_1(X18)|~v9_metric_1(X18)|~l1_metric_1(X18)))&(esk3_3(X18,X19,X20)=X19|X20!=k1_ascoli(X18,X19)|~m1_subset_1(X20,k1_zfmisc_1(u1_struct_0(X18)))|~m1_subset_1(X19,k1_zfmisc_1(u1_struct_0(X18)))|(v2_struct_0(X18)|~v6_metric_1(X18)|~v7_metric_1(X18)|~v8_metric_1(X18)|~v9_metric_1(X18)|~l1_metric_1(X18))))&(X20=k2_pre_topc(k3_pcomps_1(X18),esk3_3(X18,X19,X20))|X20!=k1_ascoli(X18,X19)|~m1_subset_1(X20,k1_zfmisc_1(u1_struct_0(X18)))|~m1_subset_1(X19,k1_zfmisc_1(u1_struct_0(X18)))|(v2_struct_0(X18)|~v6_metric_1(X18)|~v7_metric_1(X18)|~v8_metric_1(X18)|~v9_metric_1(X18)|~l1_metric_1(X18))))&(~m1_subset_1(X22,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(X18))))|X22!=X19|X20!=k2_pre_topc(k3_pcomps_1(X18),X22)|X20=k1_ascoli(X18,X19)|~m1_subset_1(X20,k1_zfmisc_1(u1_struct_0(X18)))|~m1_subset_1(X19,k1_zfmisc_1(u1_struct_0(X18)))|(v2_struct_0(X18)|~v6_metric_1(X18)|~v7_metric_1(X18)|~v8_metric_1(X18)|~v9_metric_1(X18)|~l1_metric_1(X18)))), 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_8, plain, ![X23, X24]:(v2_struct_0(X23)|~v6_metric_1(X23)|~v7_metric_1(X23)|~v8_metric_1(X23)|~v9_metric_1(X23)|~l1_metric_1(X23)|~m1_subset_1(X24,k1_zfmisc_1(u1_struct_0(X23)))|m1_subset_1(k1_ascoli(X23,X24),k1_zfmisc_1(u1_struct_0(X23)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])).
fof(c_0_9, negated_conjecture, ~(![X1]:((((((~v2_struct_0(X1)&v6_metric_1(X1))&v7_metric_1(X1))&v8_metric_1(X1))&v9_metric_1(X1))&l1_metric_1(X1))=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))=>r1_tarski(X2,k1_ascoli(X1,X2))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t1_ascoli2])])).
cnf(c_0_10, plain, (esk3_3(X1,X2,X3)=X2|v2_struct_0(X1)|X3!=k1_ascoli(X1,X2)|~m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))|~v6_metric_1(X1)|~v7_metric_1(X1)|~v8_metric_1(X1)|~v9_metric_1(X1)|~l1_metric_1(X1)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_11, plain, (v2_struct_0(X1)|m1_subset_1(k1_ascoli(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))|~v6_metric_1(X1)|~v7_metric_1(X1)|~v8_metric_1(X1)|~v9_metric_1(X1)|~l1_metric_1(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))), inference(split_conjunct,[status(thm)],[c_0_8])).
fof(c_0_12, negated_conjecture, ((((((~v2_struct_0(esk1_0)&v6_metric_1(esk1_0))&v7_metric_1(esk1_0))&v8_metric_1(esk1_0))&v9_metric_1(esk1_0))&l1_metric_1(esk1_0))&(m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))&~r1_tarski(esk2_0,k1_ascoli(esk1_0,esk2_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
cnf(c_0_13, plain, (X1=k2_pre_topc(k3_pcomps_1(X2),esk3_3(X2,X3,X1))|v2_struct_0(X2)|X1!=k1_ascoli(X2,X3)|~m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))|~m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))|~v6_metric_1(X2)|~v7_metric_1(X2)|~v8_metric_1(X2)|~v9_metric_1(X2)|~l1_metric_1(X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_14, plain, (esk3_3(X1,X2,k1_ascoli(X1,X2))=X2|v2_struct_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))|~l1_metric_1(X1)|~v9_metric_1(X1)|~v8_metric_1(X1)|~v7_metric_1(X1)|~v6_metric_1(X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_10]), c_0_11])).
cnf(c_0_15, negated_conjecture, (m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_16, negated_conjecture, (l1_metric_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_17, negated_conjecture, (v9_metric_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_18, negated_conjecture, (v8_metric_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_19, negated_conjecture, (v7_metric_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_20, negated_conjecture, (v6_metric_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_21, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_22, plain, (m1_subset_1(esk3_3(X1,X2,X3),k1_zfmisc_1(u1_struct_0(k3_pcomps_1(X1))))|v2_struct_0(X1)|X3!=k1_ascoli(X1,X2)|~m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))|~v6_metric_1(X1)|~v7_metric_1(X1)|~v8_metric_1(X1)|~v9_metric_1(X1)|~l1_metric_1(X1)), inference(split_conjunct,[status(thm)],[c_0_7])).
fof(c_0_23, plain, ![X26, X27]:(~l1_pre_topc(X26)|(~m1_subset_1(X27,k1_zfmisc_1(u1_struct_0(X26)))|r1_tarski(X27,k2_pre_topc(X26,X27)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t18_pre_topc])])])).
cnf(c_0_24, plain, (k2_pre_topc(k3_pcomps_1(X1),esk3_3(X1,X2,k1_ascoli(X1,X2)))=k1_ascoli(X1,X2)|v2_struct_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))|~l1_metric_1(X1)|~v9_metric_1(X1)|~v8_metric_1(X1)|~v7_metric_1(X1)|~v6_metric_1(X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_13]), c_0_11])).
cnf(c_0_25, negated_conjecture, (esk3_3(esk1_0,esk2_0,k1_ascoli(esk1_0,esk2_0))=esk2_0), 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16]), c_0_17]), c_0_18]), c_0_19]), c_0_20])]), c_0_21])).
cnf(c_0_26, plain, (m1_subset_1(esk3_3(X1,X2,k1_ascoli(X1,X2)),k1_zfmisc_1(u1_struct_0(k3_pcomps_1(X1))))|v2_struct_0(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))|~l1_metric_1(X1)|~v9_metric_1(X1)|~v8_metric_1(X1)|~v7_metric_1(X1)|~v6_metric_1(X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_22]), c_0_11])).
cnf(c_0_27, plain, (r1_tarski(X2,k2_pre_topc(X1,X2))|~l1_pre_topc(X1)|~m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))), inference(split_conjunct,[status(thm)],[c_0_23])).
cnf(c_0_28, negated_conjecture, (k2_pre_topc(k3_pcomps_1(esk1_0),esk2_0)=k1_ascoli(esk1_0,esk2_0)), 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_15]), c_0_25]), c_0_16]), c_0_17]), c_0_18]), c_0_19]), c_0_20])]), c_0_21])).
cnf(c_0_29, negated_conjecture, (m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(k3_pcomps_1(esk1_0))))), 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_15]), c_0_25]), c_0_16]), c_0_17]), c_0_18]), c_0_19]), c_0_20])]), c_0_21])).
cnf(c_0_30, negated_conjecture, (~r1_tarski(esk2_0,k1_ascoli(esk1_0,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_12])).
fof(c_0_31, plain, ![X25]:(~l1_metric_1(X25)|l1_pre_topc(k3_pcomps_1(X25))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_pcomps_1])])).
cnf(c_0_32, negated_conjecture, (~l1_pre_topc(k3_pcomps_1(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29])]), c_0_30])).
cnf(c_0_33, plain, (l1_pre_topc(k3_pcomps_1(X1))|~l1_metric_1(X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_34, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_16])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 35
# Proof object clause steps            : 22
# Proof object formula steps           : 13
# Proof object conjectures             : 16
# Proof object clause conjectures      : 13
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 14
# Proof object initial formulas used   : 5
# Proof object generating inferences   : 5
# Proof object simplifying inferences  : 34
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 5
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 15
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 15
# Processed clauses                    : 63
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 63
# Other redundant clauses eliminated   : 5
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 90
# ...of the previous two non-trivial   : 89
# Contextual simplify-reflections      : 3
# Paramodulations                      : 86
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 5
# 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  : 44
#    Positive orientable unit clauses  : 32
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 9
# Current number of unprocessed clauses: 56
# ...number of literals in the above   : 140
# Current number of archived formulas  : 0
# Current number of archived clauses   : 15
# Clause-clause subsumption calls (NU) : 314
# Rec. Clause-clause subsumption calls : 3
# Non-unit clause-clause subsumptions  : 3
# Unit Clause-clause subsumption calls : 5
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 141
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 7275

# -------------------------------------------------
# User time                : 0.028 s
# System time              : 0.012 s
# Total time               : 0.040 s
# Maximum resident set size: 2940 pages
