# 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       : 0.019 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t1_vectsp13, conjecture, ![X1]:((~(v1_xboole_0(X1))&v1_finset_1(X1))=>![X2]:((~(v1_xboole_0(X2))&v1_finset_1(X2))=>~((k4_card_1(X2)=k4_card_1(X1)&![X3]:(((v1_funct_1(X3)&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))=>~(v3_funct_2(X3,X1,X2))))))), file('vectsp13/vectsp13__t1_vectsp13', t1_vectsp13)).
fof(redefinition_k4_card_1, axiom, ![X1]:(v1_finset_1(X1)=>k4_card_1(X1)=k1_card_1(X1)), file('vectsp13/vectsp13__t1_vectsp13', redefinition_k4_card_1)).
fof(t1_funct_2, axiom, ![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>((v1_funct_1(X1)&v1_funct_2(X1,k9_xtuple_0(X1),k10_xtuple_0(X1)))&m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(X1),k10_xtuple_0(X1)))))), file('vectsp13/vectsp13__t1_vectsp13', t1_funct_2)).
fof(d4_wellord2, axiom, ![X1, X2]:(r2_wellord2(X1,X2)<=>?[X3]:((((v1_relat_1(X3)&v1_funct_1(X3))&v2_funct_1(X3))&k9_xtuple_0(X3)=X1)&k10_xtuple_0(X3)=X2)), file('vectsp13/vectsp13__t1_vectsp13', d4_wellord2)).
fof(t5_card_1, axiom, ![X1, X2]:(r2_wellord2(X1,X2)<=>k1_card_1(X1)=k1_card_1(X2)), file('vectsp13/vectsp13__t1_vectsp13', t5_card_1)).
fof(cc7_funct_2, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>(((v1_funct_1(X3)&v2_funct_1(X3))&v2_funct_2(X3,X2))=>(v1_funct_1(X3)&v3_funct_2(X3,X1,X2)))), file('vectsp13/vectsp13__t1_vectsp13', cc7_funct_2)).
fof(d3_funct_2, axiom, ![X1, X2]:((v1_relat_1(X2)&v5_relat_1(X2,X1))=>(v2_funct_2(X2,X1)<=>k2_relset_1(X1,X2)=X1)), file('vectsp13/vectsp13__t1_vectsp13', d3_funct_2)).
fof(cc2_relset_1, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>(v4_relat_1(X3,X1)&v5_relat_1(X3,X2))), file('vectsp13/vectsp13__t1_vectsp13', cc2_relset_1)).
fof(redefinition_k2_relset_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v5_relat_1(X2,X1))=>k2_relset_1(X1,X2)=k10_xtuple_0(X2)), file('vectsp13/vectsp13__t1_vectsp13', redefinition_k2_relset_1)).
fof(c_0_9, negated_conjecture, ~(![X1]:((~v1_xboole_0(X1)&v1_finset_1(X1))=>![X2]:((~v1_xboole_0(X2)&v1_finset_1(X2))=>~((k4_card_1(X2)=k4_card_1(X1)&![X3]:(((v1_funct_1(X3)&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))=>~v3_funct_2(X3,X1,X2))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t1_vectsp13])])).
fof(c_0_10, negated_conjecture, ![X26]:((~v1_xboole_0(esk1_0)&v1_finset_1(esk1_0))&((~v1_xboole_0(esk2_0)&v1_finset_1(esk2_0))&(k4_card_1(esk2_0)=k4_card_1(esk1_0)&(~v1_funct_1(X26)|~v1_funct_2(X26,esk1_0,esk2_0)|~m1_subset_1(X26,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))|~v3_funct_2(X26,esk1_0,esk2_0))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])).
fof(c_0_11, plain, ![X43]:(~v1_finset_1(X43)|k4_card_1(X43)=k1_card_1(X43)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_card_1])])).
cnf(c_0_12, negated_conjecture, (k4_card_1(esk2_0)=k4_card_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_13, plain, (k4_card_1(X1)=k1_card_1(X1)|~v1_finset_1(X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_14, negated_conjecture, (v1_finset_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_15, plain, ![X44]:(((v1_funct_1(X44)|(~v1_relat_1(X44)|~v1_funct_1(X44)))&(v1_funct_2(X44,k9_xtuple_0(X44),k10_xtuple_0(X44))|(~v1_relat_1(X44)|~v1_funct_1(X44))))&(m1_subset_1(X44,k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(X44),k10_xtuple_0(X44))))|(~v1_relat_1(X44)|~v1_funct_1(X44)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_funct_2])])])).
fof(c_0_16, plain, ![X35, X36, X38, X39, X40]:((((((v1_relat_1(esk3_2(X35,X36))|~r2_wellord2(X35,X36))&(v1_funct_1(esk3_2(X35,X36))|~r2_wellord2(X35,X36)))&(v2_funct_1(esk3_2(X35,X36))|~r2_wellord2(X35,X36)))&(k9_xtuple_0(esk3_2(X35,X36))=X35|~r2_wellord2(X35,X36)))&(k10_xtuple_0(esk3_2(X35,X36))=X36|~r2_wellord2(X35,X36)))&(~v1_relat_1(X40)|~v1_funct_1(X40)|~v2_funct_1(X40)|k9_xtuple_0(X40)!=X38|k10_xtuple_0(X40)!=X39|r2_wellord2(X38,X39))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d4_wellord2])])])])])])).
fof(c_0_17, plain, ![X45, X46]:((~r2_wellord2(X45,X46)|k1_card_1(X45)=k1_card_1(X46))&(k1_card_1(X45)!=k1_card_1(X46)|r2_wellord2(X45,X46))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_card_1])])).
cnf(c_0_18, negated_conjecture, (k4_card_1(esk2_0)=k1_card_1(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_14])])).
cnf(c_0_19, negated_conjecture, (v1_finset_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_20, plain, (m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(X1),k10_xtuple_0(X1))))|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_21, plain, (k10_xtuple_0(esk3_2(X1,X2))=X2|~r2_wellord2(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_22, plain, (v1_funct_1(esk3_2(X1,X2))|~r2_wellord2(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_23, plain, (v1_relat_1(esk3_2(X1,X2))|~r2_wellord2(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_24, plain, (r2_wellord2(X1,X2)|k1_card_1(X1)!=k1_card_1(X2)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_25, negated_conjecture, (k1_card_1(esk1_0)=k1_card_1(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_18]), c_0_19])])).
cnf(c_0_26, plain, (m1_subset_1(esk3_2(X1,X2),k1_zfmisc_1(k2_zfmisc_1(k9_xtuple_0(esk3_2(X1,X2)),X2)))|~r2_wellord2(X1,X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22]), c_0_23])).
cnf(c_0_27, plain, (k9_xtuple_0(esk3_2(X1,X2))=X1|~r2_wellord2(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_28, negated_conjecture, (r2_wellord2(esk1_0,X1)|k1_card_1(esk2_0)!=k1_card_1(X1)), inference(spm,[status(thm)],[c_0_24, c_0_25])).
fof(c_0_29, plain, ![X30, X31, X32]:((v1_funct_1(X32)|(~v1_funct_1(X32)|~v2_funct_1(X32)|~v2_funct_2(X32,X31))|~m1_subset_1(X32,k1_zfmisc_1(k2_zfmisc_1(X30,X31))))&(v3_funct_2(X32,X30,X31)|(~v1_funct_1(X32)|~v2_funct_1(X32)|~v2_funct_2(X32,X31))|~m1_subset_1(X32,k1_zfmisc_1(k2_zfmisc_1(X30,X31))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc7_funct_2])])])).
cnf(c_0_30, negated_conjecture, (~v1_funct_1(X1)|~v1_funct_2(X1,esk1_0,esk2_0)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))|~v3_funct_2(X1,esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_31, plain, (m1_subset_1(esk3_2(X1,X2),k1_zfmisc_1(k2_zfmisc_1(X1,X2)))|~r2_wellord2(X1,X2)), inference(spm,[status(thm)],[c_0_26, c_0_27])).
cnf(c_0_32, negated_conjecture, (r2_wellord2(esk1_0,esk2_0)), inference(er,[status(thm)],[c_0_28])).
cnf(c_0_33, plain, (v3_funct_2(X1,X2,X3)|~v1_funct_1(X1)|~v2_funct_1(X1)|~v2_funct_2(X1,X3)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_34, plain, (v2_funct_1(esk3_2(X1,X2))|~r2_wellord2(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_35, plain, (v1_funct_2(X1,k9_xtuple_0(X1),k10_xtuple_0(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_36, negated_conjecture, (~v3_funct_2(esk3_2(esk1_0,esk2_0),esk1_0,esk2_0)|~v1_funct_2(esk3_2(esk1_0,esk2_0),esk1_0,esk2_0)|~v1_funct_1(esk3_2(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32])])).
cnf(c_0_37, plain, (v3_funct_2(esk3_2(X1,X2),X1,X2)|~r2_wellord2(X1,X2)|~v2_funct_2(esk3_2(X1,X2),X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_31]), c_0_22]), c_0_34])).
cnf(c_0_38, plain, (v1_funct_2(esk3_2(X1,X2),k9_xtuple_0(esk3_2(X1,X2)),X2)|~r2_wellord2(X1,X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_21]), c_0_22]), c_0_23])).
cnf(c_0_39, negated_conjecture, (~v2_funct_2(esk3_2(esk1_0,esk2_0),esk2_0)|~v1_funct_2(esk3_2(esk1_0,esk2_0),esk1_0,esk2_0)|~v1_funct_1(esk3_2(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_32])])).
cnf(c_0_40, plain, (v1_funct_2(esk3_2(X1,X2),X1,X2)|~r2_wellord2(X1,X2)), inference(spm,[status(thm)],[c_0_38, c_0_27])).
fof(c_0_41, plain, ![X33, X34]:((~v2_funct_2(X34,X33)|k2_relset_1(X33,X34)=X33|(~v1_relat_1(X34)|~v5_relat_1(X34,X33)))&(k2_relset_1(X33,X34)!=X33|v2_funct_2(X34,X33)|(~v1_relat_1(X34)|~v5_relat_1(X34,X33)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_funct_2])])])).
fof(c_0_42, plain, ![X27, X28, X29]:((v4_relat_1(X29,X27)|~m1_subset_1(X29,k1_zfmisc_1(k2_zfmisc_1(X27,X28))))&(v5_relat_1(X29,X28)|~m1_subset_1(X29,k1_zfmisc_1(k2_zfmisc_1(X27,X28))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_relset_1])])])).
cnf(c_0_43, negated_conjecture, (~v2_funct_2(esk3_2(esk1_0,esk2_0),esk2_0)|~v1_funct_1(esk3_2(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_32])])).
cnf(c_0_44, plain, (v2_funct_2(X2,X1)|k2_relset_1(X1,X2)!=X1|~v1_relat_1(X2)|~v5_relat_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_41])).
fof(c_0_45, plain, ![X41, X42]:(~v1_relat_1(X42)|~v5_relat_1(X42,X41)|k2_relset_1(X41,X42)=k10_xtuple_0(X42)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_relset_1])])).
cnf(c_0_46, plain, (v5_relat_1(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X3,X2)))), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_47, negated_conjecture, (k2_relset_1(esk2_0,esk3_2(esk1_0,esk2_0))!=esk2_0|~v1_relat_1(esk3_2(esk1_0,esk2_0))|~v5_relat_1(esk3_2(esk1_0,esk2_0),esk2_0)|~v1_funct_1(esk3_2(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_43, c_0_44])).
cnf(c_0_48, plain, (k2_relset_1(X2,X1)=k10_xtuple_0(X1)|~v1_relat_1(X1)|~v5_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_49, plain, (v5_relat_1(X1,k10_xtuple_0(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(spm,[status(thm)],[c_0_46, c_0_20])).
cnf(c_0_50, negated_conjecture, (k10_xtuple_0(esk3_2(esk1_0,esk2_0))!=esk2_0|~v1_relat_1(esk3_2(esk1_0,esk2_0))|~v5_relat_1(esk3_2(esk1_0,esk2_0),esk2_0)|~v1_funct_1(esk3_2(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_47, c_0_48])).
cnf(c_0_51, plain, (v5_relat_1(esk3_2(X1,X2),X2)|~r2_wellord2(X1,X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_21]), c_0_22]), c_0_23])).
cnf(c_0_52, negated_conjecture, (k10_xtuple_0(esk3_2(esk1_0,esk2_0))!=esk2_0|~v1_relat_1(esk3_2(esk1_0,esk2_0))|~v1_funct_1(esk3_2(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_32])])).
cnf(c_0_53, negated_conjecture, (~v1_relat_1(esk3_2(esk1_0,esk2_0))|~v1_funct_1(esk3_2(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_21]), c_0_32])])).
cnf(c_0_54, negated_conjecture, (~v1_relat_1(esk3_2(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_22]), c_0_32])])).
cnf(c_0_55, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_23]), c_0_32])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 56
# Proof object clause steps            : 37
# Proof object formula steps           : 19
# Proof object conjectures             : 20
# Proof object clause conjectures      : 17
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 17
# Proof object initial formulas used   : 9
# Proof object generating inferences   : 20
# Proof object simplifying inferences  : 26
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 9
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 25
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 23
# Processed clauses                    : 597
# ...of these trivial                  : 8
# ...subsumed                          : 395
# ...remaining for further processing  : 194
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 10
# Backward-rewritten                   : 7
# Generated clauses                    : 1579
# ...of the previous two non-trivial   : 1453
# Contextual simplify-reflections      : 47
# Paramodulations                      : 1558
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 22
# 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  : 153
#    Positive orientable unit clauses  : 15
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 135
# Current number of unprocessed clauses: 892
# ...number of literals in the above   : 4474
# Current number of archived formulas  : 0
# Current number of archived clauses   : 40
# Clause-clause subsumption calls (NU) : 8537
# Rec. Clause-clause subsumption calls : 5849
# Non-unit clause-clause subsumptions  : 452
# Unit Clause-clause subsumption calls : 16
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 31
# BW rewrite match successes           : 6
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 25077

# -------------------------------------------------
# User time                : 0.040 s
# System time              : 0.004 s
# Total time               : 0.044 s
# Maximum resident set size: 3532 pages
