# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(dt_m1_proofs_1, axiom, ![X1, X2]:(m1_proofs_1(X2,X1)=>(v1_relat_1(X2)&v1_proofs_1(X2))), file('proofs_1/proofs_1__t25_proofs_1', dt_m1_proofs_1)).
fof(dt_u2_proofs_1, axiom, ![X1]:(l1_proofs_1(X1)=>m1_proofs_1(u2_proofs_1(X1),u1_struct_0(X1))), file('proofs_1/proofs_1__t25_proofs_1', dt_u2_proofs_1)).
fof(t24_proofs_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v1_proofs_1(X2))=>![X3]:(r2_proofs_1(X1,X3,X2)<=>![X4]:((v6_proofs_1(X4,X1)&v18_proofs_1(X4,X2))=>r2_hidden(X3,X4)))), file('proofs_1/proofs_1__t25_proofs_1', t24_proofs_1)).
fof(t25_proofs_1, conjecture, ![X1]:((~(v2_struct_0(X1))&l1_proofs_1(X1))=>![X2]:(r3_proofs_1(X1,X2)<=>![X3]:(v19_proofs_1(X3,X1)=>r2_hidden(X2,X3)))), file('proofs_1/proofs_1__t25_proofs_1', t25_proofs_1)).
fof(cc15_proofs_1, axiom, ![X1]:((~(v2_struct_0(X1))&l1_proofs_1(X1))=>![X2]:((v6_proofs_1(X2,u1_proofs_1(X1))&v18_proofs_1(X2,u2_proofs_1(X1)))=>v19_proofs_1(X2,X1))), file('proofs_1/proofs_1__t25_proofs_1', cc15_proofs_1)).
fof(d17_proofs_1, axiom, ![X1]:(l1_proofs_1(X1)=>![X2]:(r3_proofs_1(X1,X2)<=>r2_proofs_1(u1_proofs_1(X1),X2,u2_proofs_1(X1)))), file('proofs_1/proofs_1__t25_proofs_1', d17_proofs_1)).
fof(cc14_proofs_1, axiom, ![X1]:((~(v2_struct_0(X1))&l1_proofs_1(X1))=>![X2]:(v19_proofs_1(X2,X1)=>(v6_proofs_1(X2,u1_proofs_1(X1))&v18_proofs_1(X2,u2_proofs_1(X1))))), file('proofs_1/proofs_1__t25_proofs_1', cc14_proofs_1)).
fof(c_0_7, plain, ![X44, X45]:((v1_relat_1(X45)|~m1_proofs_1(X45,X44))&(v1_proofs_1(X45)|~m1_proofs_1(X45,X44))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_proofs_1])])])).
fof(c_0_8, plain, ![X46]:(~l1_proofs_1(X46)|m1_proofs_1(u2_proofs_1(X46),u1_struct_0(X46))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_proofs_1])])).
fof(c_0_9, plain, ![X49, X50, X51, X52, X53]:((~r2_proofs_1(X49,X51,X50)|(~v6_proofs_1(X52,X49)|~v18_proofs_1(X52,X50)|r2_hidden(X51,X52))|(~v1_relat_1(X50)|~v1_proofs_1(X50)))&(((v6_proofs_1(esk5_3(X49,X50,X53),X49)|r2_proofs_1(X49,X53,X50)|(~v1_relat_1(X50)|~v1_proofs_1(X50)))&(v18_proofs_1(esk5_3(X49,X50,X53),X50)|r2_proofs_1(X49,X53,X50)|(~v1_relat_1(X50)|~v1_proofs_1(X50))))&(~r2_hidden(X53,esk5_3(X49,X50,X53))|r2_proofs_1(X49,X53,X50)|(~v1_relat_1(X50)|~v1_proofs_1(X50))))), 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)],[t24_proofs_1])])])])])])).
cnf(c_0_10, plain, (v1_proofs_1(X1)|~m1_proofs_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_11, plain, (m1_proofs_1(u2_proofs_1(X1),u1_struct_0(X1))|~l1_proofs_1(X1)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_12, plain, (v1_relat_1(X1)|~m1_proofs_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
fof(c_0_13, negated_conjecture, ~(![X1]:((~v2_struct_0(X1)&l1_proofs_1(X1))=>![X2]:(r3_proofs_1(X1,X2)<=>![X3]:(v19_proofs_1(X3,X1)=>r2_hidden(X2,X3))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t25_proofs_1])])).
fof(c_0_14, plain, ![X1]:((~v2_struct_0(X1)&l1_proofs_1(X1))=>![X2]:((v6_proofs_1(X2,u1_proofs_1(X1))&v18_proofs_1(X2,u2_proofs_1(X1)))=>v19_proofs_1(X2,X1))), inference(fof_simplification,[status(thm)],[cc15_proofs_1])).
cnf(c_0_15, plain, (v18_proofs_1(esk5_3(X1,X2,X3),X2)|r2_proofs_1(X1,X3,X2)|~v1_relat_1(X2)|~v1_proofs_1(X2)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_16, plain, (v1_proofs_1(u2_proofs_1(X1))|~l1_proofs_1(X1)), inference(spm,[status(thm)],[c_0_10, c_0_11])).
cnf(c_0_17, plain, (v1_relat_1(u2_proofs_1(X1))|~l1_proofs_1(X1)), inference(spm,[status(thm)],[c_0_12, c_0_11])).
fof(c_0_18, negated_conjecture, ![X30]:((~v2_struct_0(esk1_0)&l1_proofs_1(esk1_0))&(((v19_proofs_1(esk3_0,esk1_0)|~r3_proofs_1(esk1_0,esk2_0))&(~r2_hidden(esk2_0,esk3_0)|~r3_proofs_1(esk1_0,esk2_0)))&(r3_proofs_1(esk1_0,esk2_0)|(~v19_proofs_1(X30,esk1_0)|r2_hidden(esk2_0,X30))))), 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_13])])])])])).
fof(c_0_19, plain, ![X33, X34]:(v2_struct_0(X33)|~l1_proofs_1(X33)|(~v6_proofs_1(X34,u1_proofs_1(X33))|~v18_proofs_1(X34,u2_proofs_1(X33))|v19_proofs_1(X34,X33))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])).
cnf(c_0_20, plain, (r2_proofs_1(X1,X2,u2_proofs_1(X3))|v18_proofs_1(esk5_3(X1,u2_proofs_1(X3),X2),u2_proofs_1(X3))|~l1_proofs_1(X3)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_17])).
cnf(c_0_21, negated_conjecture, (l1_proofs_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_22, plain, (v6_proofs_1(esk5_3(X1,X2,X3),X1)|r2_proofs_1(X1,X3,X2)|~v1_relat_1(X2)|~v1_proofs_1(X2)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_23, plain, (v2_struct_0(X1)|v19_proofs_1(X2,X1)|~l1_proofs_1(X1)|~v6_proofs_1(X2,u1_proofs_1(X1))|~v18_proofs_1(X2,u2_proofs_1(X1))), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_24, negated_conjecture, (r2_proofs_1(X1,X2,u2_proofs_1(esk1_0))|v18_proofs_1(esk5_3(X1,u2_proofs_1(esk1_0),X2),u2_proofs_1(esk1_0))), inference(spm,[status(thm)],[c_0_20, c_0_21])).
cnf(c_0_25, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_26, plain, (r2_proofs_1(X1,X2,u2_proofs_1(X3))|v6_proofs_1(esk5_3(X1,u2_proofs_1(X3),X2),X1)|~l1_proofs_1(X3)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_16]), c_0_17])).
cnf(c_0_27, negated_conjecture, (r2_proofs_1(X1,X2,u2_proofs_1(esk1_0))|v19_proofs_1(esk5_3(X1,u2_proofs_1(esk1_0),X2),esk1_0)|~v6_proofs_1(esk5_3(X1,u2_proofs_1(esk1_0),X2),u1_proofs_1(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_21])]), c_0_25])).
cnf(c_0_28, negated_conjecture, (r2_proofs_1(X1,X2,u2_proofs_1(esk1_0))|v6_proofs_1(esk5_3(X1,u2_proofs_1(esk1_0),X2),X1)), inference(spm,[status(thm)],[c_0_26, c_0_21])).
cnf(c_0_29, negated_conjecture, (r3_proofs_1(esk1_0,esk2_0)|r2_hidden(esk2_0,X1)|~v19_proofs_1(X1,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_30, negated_conjecture, (r2_proofs_1(u1_proofs_1(esk1_0),X1,u2_proofs_1(esk1_0))|v19_proofs_1(esk5_3(u1_proofs_1(esk1_0),u2_proofs_1(esk1_0),X1),esk1_0)), inference(spm,[status(thm)],[c_0_27, c_0_28])).
cnf(c_0_31, plain, (r2_proofs_1(X2,X1,X3)|~r2_hidden(X1,esk5_3(X2,X3,X1))|~v1_relat_1(X3)|~v1_proofs_1(X3)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_32, negated_conjecture, (r2_proofs_1(u1_proofs_1(esk1_0),X1,u2_proofs_1(esk1_0))|r2_hidden(esk2_0,esk5_3(u1_proofs_1(esk1_0),u2_proofs_1(esk1_0),X1))|r3_proofs_1(esk1_0,esk2_0)), inference(spm,[status(thm)],[c_0_29, c_0_30])).
cnf(c_0_33, negated_conjecture, (r2_proofs_1(u1_proofs_1(esk1_0),esk2_0,u2_proofs_1(esk1_0))|r3_proofs_1(esk1_0,esk2_0)|~v1_proofs_1(u2_proofs_1(esk1_0))|~v1_relat_1(u2_proofs_1(esk1_0))), inference(spm,[status(thm)],[c_0_31, c_0_32])).
fof(c_0_34, plain, ![X35, X36]:((~r3_proofs_1(X35,X36)|r2_proofs_1(u1_proofs_1(X35),X36,u2_proofs_1(X35))|~l1_proofs_1(X35))&(~r2_proofs_1(u1_proofs_1(X35),X36,u2_proofs_1(X35))|r3_proofs_1(X35,X36)|~l1_proofs_1(X35))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d17_proofs_1])])])])).
cnf(c_0_35, negated_conjecture, (r2_proofs_1(u1_proofs_1(esk1_0),esk2_0,u2_proofs_1(esk1_0))|r3_proofs_1(esk1_0,esk2_0)|~v1_relat_1(u2_proofs_1(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_16]), c_0_21])])).
fof(c_0_36, plain, ![X1]:((~v2_struct_0(X1)&l1_proofs_1(X1))=>![X2]:(v19_proofs_1(X2,X1)=>(v6_proofs_1(X2,u1_proofs_1(X1))&v18_proofs_1(X2,u2_proofs_1(X1))))), inference(fof_simplification,[status(thm)],[cc14_proofs_1])).
cnf(c_0_37, plain, (r3_proofs_1(X1,X2)|~r2_proofs_1(u1_proofs_1(X1),X2,u2_proofs_1(X1))|~l1_proofs_1(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_38, negated_conjecture, (r2_proofs_1(u1_proofs_1(esk1_0),esk2_0,u2_proofs_1(esk1_0))|r3_proofs_1(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_17]), c_0_21])])).
fof(c_0_39, plain, ![X31, X32]:((v6_proofs_1(X32,u1_proofs_1(X31))|~v19_proofs_1(X32,X31)|(v2_struct_0(X31)|~l1_proofs_1(X31)))&(v18_proofs_1(X32,u2_proofs_1(X31))|~v19_proofs_1(X32,X31)|(v2_struct_0(X31)|~l1_proofs_1(X31)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])])).
cnf(c_0_40, negated_conjecture, (v19_proofs_1(esk3_0,esk1_0)|~r3_proofs_1(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_41, negated_conjecture, (r3_proofs_1(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_21])])).
cnf(c_0_42, plain, (r2_hidden(X2,X4)|~r2_proofs_1(X1,X2,X3)|~v6_proofs_1(X4,X1)|~v18_proofs_1(X4,X3)|~v1_relat_1(X3)|~v1_proofs_1(X3)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_43, plain, (r2_proofs_1(u1_proofs_1(X1),X2,u2_proofs_1(X1))|~r3_proofs_1(X1,X2)|~l1_proofs_1(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_44, plain, (v18_proofs_1(X1,u2_proofs_1(X2))|v2_struct_0(X2)|~v19_proofs_1(X1,X2)|~l1_proofs_1(X2)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_45, negated_conjecture, (v19_proofs_1(esk3_0,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_41])])).
cnf(c_0_46, plain, (v6_proofs_1(X1,u1_proofs_1(X2))|v2_struct_0(X2)|~v19_proofs_1(X1,X2)|~l1_proofs_1(X2)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_47, negated_conjecture, (~r2_hidden(esk2_0,esk3_0)|~r3_proofs_1(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_48, plain, (r2_hidden(X1,X2)|~v18_proofs_1(X2,u2_proofs_1(X3))|~v6_proofs_1(X2,u1_proofs_1(X3))|~r3_proofs_1(X3,X1)|~l1_proofs_1(X3)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_17]), c_0_16])).
cnf(c_0_49, negated_conjecture, (v18_proofs_1(esk3_0,u2_proofs_1(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_21])]), c_0_25])).
cnf(c_0_50, negated_conjecture, (v6_proofs_1(esk3_0,u1_proofs_1(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_45]), c_0_21])]), c_0_25])).
cnf(c_0_51, negated_conjecture, (~r2_hidden(esk2_0,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_41])])).
cnf(c_0_52, negated_conjecture, (r2_hidden(X1,esk3_0)|~r3_proofs_1(esk1_0,X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50]), c_0_21])])).
cnf(c_0_53, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_41])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 54
# Proof object clause steps            : 37
# Proof object formula steps           : 17
# Proof object conjectures             : 23
# Proof object clause conjectures      : 20
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 17
# Proof object initial formulas used   : 7
# Proof object generating inferences   : 18
# Proof object simplifying inferences  : 28
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 9
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 23
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 23
# Processed clauses                    : 69
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 69
# Other redundant clauses eliminated   : 2
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 5
# Generated clauses                    : 33
# ...of the previous two non-trivial   : 31
# Contextual simplify-reflections      : 8
# Paramodulations                      : 31
# 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  : 37
#    Positive orientable unit clauses  : 5
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 30
# Current number of unprocessed clauses: 8
# ...number of literals in the above   : 35
# Current number of archived formulas  : 0
# Current number of archived clauses   : 30
# Clause-clause subsumption calls (NU) : 588
# Rec. Clause-clause subsumption calls : 198
# Non-unit clause-clause subsumptions  : 10
# Unit Clause-clause subsumption calls : 12
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 3013

# -------------------------------------------------
# User time                : 0.027 s
# System time              : 0.000 s
# Total time               : 0.027 s
# Maximum resident set size: 3648 pages
