# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.027 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t38_waybel26, axiom, ![X1, X2, X3]:((v1_relat_1(X3)&v1_funct_1(X3))=>(r2_hidden(k4_tarski(X1,X2),k5_waybel26(X3))<=>(r2_hidden(X1,k9_xtuple_0(X3))&r2_hidden(X2,k1_funct_1(X3,X1))))), file('gr_free0/gr_free0__t6_gr_free0', t38_waybel26)).
fof(d1_gr_free0, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_group_7(X1))=>k1_gr_free0(X1)=k5_waybel26(k13_pralg_1(X1))), file('gr_free0/gr_free0__t6_gr_free0', d1_gr_free0)).
fof(t6_gr_free0, conjecture, ![X1, X2, X3]:(((v1_relat_1(X3)&v1_funct_1(X3))&v1_group_7(X3))=>(r2_hidden(k4_tarski(X1,X2),k1_gr_free0(X3))<=>(r2_hidden(X1,k9_xtuple_0(X3))&r2_hidden(X2,k1_funct_1(k13_pralg_1(X3),X1))))), file('gr_free0/gr_free0__t6_gr_free0', t6_gr_free0)).
fof(d14_pralg_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v2_pralg_1(X1))=>![X2]:((v1_relat_1(X2)&v1_funct_1(X2))=>(X2=k13_pralg_1(X1)<=>(k9_xtuple_0(X2)=k9_xtuple_0(X1)&![X3]:~((r2_tarski(X3,k9_xtuple_0(X1))&![X4]:(l1_struct_0(X4)=>~((X4=k1_funct_1(X1,X3)&k1_funct_1(X2,X3)=u1_struct_0(X4)))))))))), file('gr_free0/gr_free0__t6_gr_free0', d14_pralg_1)).
fof(dt_k13_pralg_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v2_pralg_1(X1))=>(v1_relat_1(k13_pralg_1(X1))&v1_funct_1(k13_pralg_1(X1)))), file('gr_free0/gr_free0__t6_gr_free0', dt_k13_pralg_1)).
fof(cc1_group_7, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_group_7(X1))=>((v1_relat_1(X1)&v1_funct_1(X1))&v2_pralg_1(X1))), file('gr_free0/gr_free0__t6_gr_free0', cc1_group_7)).
fof(c_0_6, plain, ![X30, X31, X32]:(((r2_hidden(X30,k9_xtuple_0(X32))|~r2_hidden(k4_tarski(X30,X31),k5_waybel26(X32))|(~v1_relat_1(X32)|~v1_funct_1(X32)))&(r2_hidden(X31,k1_funct_1(X32,X30))|~r2_hidden(k4_tarski(X30,X31),k5_waybel26(X32))|(~v1_relat_1(X32)|~v1_funct_1(X32))))&(~r2_hidden(X30,k9_xtuple_0(X32))|~r2_hidden(X31,k1_funct_1(X32,X30))|r2_hidden(k4_tarski(X30,X31),k5_waybel26(X32))|(~v1_relat_1(X32)|~v1_funct_1(X32)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t38_waybel26])])])).
fof(c_0_7, plain, ![X28]:(~v1_relat_1(X28)|~v1_funct_1(X28)|~v1_group_7(X28)|k1_gr_free0(X28)=k5_waybel26(k13_pralg_1(X28))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_gr_free0])])).
fof(c_0_8, negated_conjecture, ~(![X1, X2, X3]:(((v1_relat_1(X3)&v1_funct_1(X3))&v1_group_7(X3))=>(r2_hidden(k4_tarski(X1,X2),k1_gr_free0(X3))<=>(r2_hidden(X1,k9_xtuple_0(X3))&r2_hidden(X2,k1_funct_1(k13_pralg_1(X3),X1)))))), inference(assume_negation,[status(cth)],[t6_gr_free0])).
cnf(c_0_9, plain, (r2_hidden(X1,k1_funct_1(X2,X3))|~r2_hidden(k4_tarski(X3,X1),k5_waybel26(X2))|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_10, plain, (k1_gr_free0(X1)=k5_waybel26(k13_pralg_1(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_group_7(X1)), inference(split_conjunct,[status(thm)],[c_0_7])).
fof(c_0_11, negated_conjecture, (((v1_relat_1(esk3_0)&v1_funct_1(esk3_0))&v1_group_7(esk3_0))&((~r2_hidden(k4_tarski(esk1_0,esk2_0),k1_gr_free0(esk3_0))|(~r2_hidden(esk1_0,k9_xtuple_0(esk3_0))|~r2_hidden(esk2_0,k1_funct_1(k13_pralg_1(esk3_0),esk1_0))))&((r2_hidden(esk1_0,k9_xtuple_0(esk3_0))|r2_hidden(k4_tarski(esk1_0,esk2_0),k1_gr_free0(esk3_0)))&(r2_hidden(esk2_0,k1_funct_1(k13_pralg_1(esk3_0),esk1_0))|r2_hidden(k4_tarski(esk1_0,esk2_0),k1_gr_free0(esk3_0)))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])).
cnf(c_0_12, plain, (r2_hidden(X1,k9_xtuple_0(X2))|~r2_hidden(k4_tarski(X1,X3),k5_waybel26(X2))|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_6])).
fof(c_0_13, plain, ![X22, X23, X24, X27]:(((k9_xtuple_0(X23)=k9_xtuple_0(X22)|X23!=k13_pralg_1(X22)|(~v1_relat_1(X23)|~v1_funct_1(X23))|(~v1_relat_1(X22)|~v1_funct_1(X22)|~v2_pralg_1(X22)))&((l1_struct_0(esk4_3(X22,X23,X24))|~r2_tarski(X24,k9_xtuple_0(X22))|X23!=k13_pralg_1(X22)|(~v1_relat_1(X23)|~v1_funct_1(X23))|(~v1_relat_1(X22)|~v1_funct_1(X22)|~v2_pralg_1(X22)))&((esk4_3(X22,X23,X24)=k1_funct_1(X22,X24)|~r2_tarski(X24,k9_xtuple_0(X22))|X23!=k13_pralg_1(X22)|(~v1_relat_1(X23)|~v1_funct_1(X23))|(~v1_relat_1(X22)|~v1_funct_1(X22)|~v2_pralg_1(X22)))&(k1_funct_1(X23,X24)=u1_struct_0(esk4_3(X22,X23,X24))|~r2_tarski(X24,k9_xtuple_0(X22))|X23!=k13_pralg_1(X22)|(~v1_relat_1(X23)|~v1_funct_1(X23))|(~v1_relat_1(X22)|~v1_funct_1(X22)|~v2_pralg_1(X22))))))&((r2_tarski(esk5_2(X22,X23),k9_xtuple_0(X22))|k9_xtuple_0(X23)!=k9_xtuple_0(X22)|X23=k13_pralg_1(X22)|(~v1_relat_1(X23)|~v1_funct_1(X23))|(~v1_relat_1(X22)|~v1_funct_1(X22)|~v2_pralg_1(X22)))&(~l1_struct_0(X27)|(X27!=k1_funct_1(X22,esk5_2(X22,X23))|k1_funct_1(X23,esk5_2(X22,X23))!=u1_struct_0(X27))|k9_xtuple_0(X23)!=k9_xtuple_0(X22)|X23=k13_pralg_1(X22)|(~v1_relat_1(X23)|~v1_funct_1(X23))|(~v1_relat_1(X22)|~v1_funct_1(X22)|~v2_pralg_1(X22))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d14_pralg_1])])])])])).
fof(c_0_14, plain, ![X29]:((v1_relat_1(k13_pralg_1(X29))|(~v1_relat_1(X29)|~v1_funct_1(X29)|~v2_pralg_1(X29)))&(v1_funct_1(k13_pralg_1(X29))|(~v1_relat_1(X29)|~v1_funct_1(X29)|~v2_pralg_1(X29)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k13_pralg_1])])])).
cnf(c_0_15, plain, (r2_hidden(k4_tarski(X1,X3),k5_waybel26(X2))|~r2_hidden(X1,k9_xtuple_0(X2))|~r2_hidden(X3,k1_funct_1(X2,X1))|~v1_relat_1(X2)|~v1_funct_1(X2)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_16, plain, (r2_hidden(X1,k1_funct_1(k13_pralg_1(X2),X3))|~r2_hidden(k4_tarski(X3,X1),k1_gr_free0(X2))|~v1_group_7(X2)|~v1_funct_1(k13_pralg_1(X2))|~v1_funct_1(X2)|~v1_relat_1(k13_pralg_1(X2))|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_9, c_0_10])).
cnf(c_0_17, negated_conjecture, (r2_hidden(esk2_0,k1_funct_1(k13_pralg_1(esk3_0),esk1_0))|r2_hidden(k4_tarski(esk1_0,esk2_0),k1_gr_free0(esk3_0))), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_18, negated_conjecture, (v1_group_7(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_19, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_20, negated_conjecture, (v1_relat_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_21, plain, (r2_hidden(X1,k9_xtuple_0(k13_pralg_1(X2)))|~r2_hidden(k4_tarski(X1,X3),k1_gr_free0(X2))|~v1_group_7(X2)|~v1_funct_1(k13_pralg_1(X2))|~v1_funct_1(X2)|~v1_relat_1(k13_pralg_1(X2))|~v1_relat_1(X2)), inference(spm,[status(thm)],[c_0_12, c_0_10])).
cnf(c_0_22, negated_conjecture, (r2_hidden(esk1_0,k9_xtuple_0(esk3_0))|r2_hidden(k4_tarski(esk1_0,esk2_0),k1_gr_free0(esk3_0))), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_23, plain, (k9_xtuple_0(X1)=k9_xtuple_0(X2)|X1!=k13_pralg_1(X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v2_pralg_1(X2)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_24, plain, (v1_relat_1(k13_pralg_1(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v2_pralg_1(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_25, plain, (v1_funct_1(k13_pralg_1(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v2_pralg_1(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_26, negated_conjecture, (~r2_hidden(k4_tarski(esk1_0,esk2_0),k1_gr_free0(esk3_0))|~r2_hidden(esk1_0,k9_xtuple_0(esk3_0))|~r2_hidden(esk2_0,k1_funct_1(k13_pralg_1(esk3_0),esk1_0))), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_27, plain, (r2_hidden(k4_tarski(X1,X2),k1_gr_free0(X3))|~r2_hidden(X2,k1_funct_1(k13_pralg_1(X3),X1))|~r2_hidden(X1,k9_xtuple_0(k13_pralg_1(X3)))|~v1_group_7(X3)|~v1_funct_1(k13_pralg_1(X3))|~v1_funct_1(X3)|~v1_relat_1(k13_pralg_1(X3))|~v1_relat_1(X3)), inference(spm,[status(thm)],[c_0_15, c_0_10])).
cnf(c_0_28, negated_conjecture, (r2_hidden(esk2_0,k1_funct_1(k13_pralg_1(esk3_0),esk1_0))|~v1_funct_1(k13_pralg_1(esk3_0))|~v1_relat_1(k13_pralg_1(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18]), c_0_19]), c_0_20])])).
cnf(c_0_29, negated_conjecture, (r2_hidden(esk1_0,k9_xtuple_0(k13_pralg_1(esk3_0)))|r2_hidden(esk1_0,k9_xtuple_0(esk3_0))|~v1_funct_1(k13_pralg_1(esk3_0))|~v1_relat_1(k13_pralg_1(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_22]), c_0_18]), c_0_19]), c_0_20])])).
cnf(c_0_30, plain, (k9_xtuple_0(k13_pralg_1(X1))=k9_xtuple_0(X1)|~v2_pralg_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_23]), c_0_24]), c_0_25])).
cnf(c_0_31, negated_conjecture, (~r2_hidden(esk1_0,k9_xtuple_0(k13_pralg_1(esk3_0)))|~r2_hidden(esk1_0,k9_xtuple_0(esk3_0))|~v1_funct_1(k13_pralg_1(esk3_0))|~v1_relat_1(k13_pralg_1(esk3_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_18]), c_0_19]), c_0_20])]), c_0_28])).
cnf(c_0_32, negated_conjecture, (r2_hidden(esk1_0,k9_xtuple_0(esk3_0))|~v2_pralg_1(esk3_0)|~v1_funct_1(k13_pralg_1(esk3_0))|~v1_relat_1(k13_pralg_1(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_19]), c_0_20])])).
cnf(c_0_33, negated_conjecture, (~v2_pralg_1(esk3_0)|~v1_funct_1(k13_pralg_1(esk3_0))|~v1_relat_1(k13_pralg_1(esk3_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_30]), c_0_19]), c_0_20])]), c_0_32])).
cnf(c_0_34, negated_conjecture, (~v2_pralg_1(esk3_0)|~v1_relat_1(k13_pralg_1(esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_25]), c_0_19]), c_0_20])])).
fof(c_0_35, plain, ![X21]:(((v1_relat_1(X21)|(~v1_relat_1(X21)|~v1_funct_1(X21)|~v1_group_7(X21)))&(v1_funct_1(X21)|(~v1_relat_1(X21)|~v1_funct_1(X21)|~v1_group_7(X21))))&(v2_pralg_1(X21)|(~v1_relat_1(X21)|~v1_funct_1(X21)|~v1_group_7(X21)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_group_7])])])).
cnf(c_0_36, negated_conjecture, (~v2_pralg_1(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_24]), c_0_19]), c_0_20])])).
cnf(c_0_37, plain, (v2_pralg_1(X1)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_group_7(X1)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_38, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_18]), c_0_19]), c_0_20])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 39
# Proof object clause steps            : 26
# Proof object formula steps           : 13
# Proof object conjectures             : 17
# Proof object clause conjectures      : 14
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 14
# Proof object initial formulas used   : 6
# Proof object generating inferences   : 11
# Proof object simplifying inferences  : 33
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 6
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 21
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 19
# Processed clauses                    : 38
# ...of these trivial                  : 0
# ...subsumed                          : 1
# ...remaining for further processing  : 37
# Other redundant clauses eliminated   : 5
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 3
# Backward-rewritten                   : 0
# Generated clauses                    : 31
# ...of the previous two non-trivial   : 23
# Contextual simplify-reflections      : 10
# Paramodulations                      : 26
# 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  : 29
#    Positive orientable unit clauses  : 3
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 25
# Current number of unprocessed clauses: 4
# ...number of literals in the above   : 36
# Current number of archived formulas  : 0
# Current number of archived clauses   : 3
# Clause-clause subsumption calls (NU) : 601
# Rec. Clause-clause subsumption calls : 17
# Non-unit clause-clause subsumptions  : 14
# Unit Clause-clause subsumption calls : 5
# 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          : 2827

# -------------------------------------------------
# User time                : 0.029 s
# System time              : 0.003 s
# Total time               : 0.032 s
# Maximum resident set size: 3084 pages
