# 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(t6_boole, axiom, ![X1]:(v1_xboole_0(X1)=>X1=k1_xboole_0), file('gr_free0/gr_free0__t28_gr_free0', t6_boole)).
fof(fc5_finseq_1, axiom, ![X1]:v1_xboole_0(k6_finseq_1(X1)), file('gr_free0/gr_free0__t28_gr_free0', fc5_finseq_1)).
fof(t27_gr_free0, axiom, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(m1_subset_1(X2,X1)=>![X3]:((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))=>![X4]:(m2_finseq_1(X4,k1_gr_free0(X3))=>![X5]:(m2_finseq_1(X5,k1_gr_free0(X3))=>r2_hidden(k4_tarski(k7_finseq_1(k7_finseq_1(X4,k9_finseq_1(k4_tarski(X2,k1_group_1(k1_group_7(X1,X3,X2))))),X5),k1_monoid_0(k1_gr_free0(X3),X4,X5)),k2_gr_free0(X1,X3))))))), file('gr_free0/gr_free0__t28_gr_free0', t27_gr_free0)).
fof(dt_k6_finseq_1, axiom, ![X1]:m2_finseq_1(k6_finseq_1(X1),X1), file('gr_free0/gr_free0__t28_gr_free0', dt_k6_finseq_1)).
fof(fc7_finseq_1, axiom, ![X1]:v1_finseq_1(k5_finseq_1(X1)), file('gr_free0/gr_free0__t28_gr_free0', fc7_finseq_1)).
fof(redefinition_k9_finseq_1, axiom, ![X1]:k9_finseq_1(X1)=k5_finseq_1(X1), file('gr_free0/gr_free0__t28_gr_free0', redefinition_k9_finseq_1)).
fof(fc6_finseq_1, axiom, ![X1]:(v1_relat_1(k5_finseq_1(X1))&v1_funct_1(k5_finseq_1(X1))), file('gr_free0/gr_free0__t28_gr_free0', fc6_finseq_1)).
fof(t34_finseq_1, axiom, ![X1]:(((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))=>(k7_finseq_1(X1,k1_xboole_0)=X1&k7_finseq_1(k1_xboole_0,X1)=X1)), file('gr_free0/gr_free0__t28_gr_free0', t34_finseq_1)).
fof(rc3_finseq_1, axiom, ![X1]:?[X2]:((((((m1_finseq_1(X2,X1)&v1_relat_1(X2))&v5_relat_1(X2,X1))&v1_funct_1(X2))&v1_xboole_0(X2))&v1_finset_1(X2))&v1_finseq_1(X2)), file('gr_free0/gr_free0__t28_gr_free0', rc3_finseq_1)).
fof(t28_gr_free0, conjecture, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(m1_subset_1(X2,X1)=>![X3]:((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))=>r2_hidden(k4_tarski(k9_finseq_1(k4_tarski(X2,k1_group_1(k1_group_7(X1,X3,X2)))),k1_xboole_0),k2_gr_free0(X1,X3))))), file('gr_free0/gr_free0__t28_gr_free0', t28_gr_free0)).
fof(fc3_gr_free0, axiom, (v1_relat_1(k1_gr_free0(k1_xboole_0))&v1_xboole_0(k1_gr_free0(k1_xboole_0))), file('gr_free0/gr_free0__t28_gr_free0', fc3_gr_free0)).
fof(redefinition_k1_monoid_0, axiom, ![X1, X2, X3]:((m1_finseq_1(X2,X1)&m1_finseq_1(X3,X1))=>k1_monoid_0(X1,X2,X3)=k7_finseq_1(X2,X3)), file('gr_free0/gr_free0__t28_gr_free0', redefinition_k1_monoid_0)).
fof(c_0_12, plain, ![X45]:(~v1_xboole_0(X45)|X45=k1_xboole_0), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])])).
fof(c_0_13, plain, ![X30]:v1_xboole_0(k6_finseq_1(X30)), inference(variable_rename,[status(thm)],[fc5_finseq_1])).
fof(c_0_14, plain, ![X1]:(~v1_xboole_0(X1)=>![X2]:(m1_subset_1(X2,X1)=>![X3]:((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))=>![X4]:(m2_finseq_1(X4,k1_gr_free0(X3))=>![X5]:(m2_finseq_1(X5,k1_gr_free0(X3))=>r2_hidden(k4_tarski(k7_finseq_1(k7_finseq_1(X4,k9_finseq_1(k4_tarski(X2,k1_group_1(k1_group_7(X1,X3,X2))))),X5),k1_monoid_0(k1_gr_free0(X3),X4,X5)),k2_gr_free0(X1,X3))))))), inference(fof_simplification,[status(thm)],[t27_gr_free0])).
fof(c_0_15, plain, ![X29]:m2_finseq_1(k6_finseq_1(X29),X29), inference(variable_rename,[status(thm)],[dt_k6_finseq_1])).
cnf(c_0_16, plain, (X1=k1_xboole_0|~v1_xboole_0(X1)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_17, plain, (v1_xboole_0(k6_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_13])).
fof(c_0_18, plain, ![X32]:v1_finseq_1(k5_finseq_1(X32)), inference(variable_rename,[status(thm)],[fc7_finseq_1])).
fof(c_0_19, plain, ![X38]:k9_finseq_1(X38)=k5_finseq_1(X38), inference(variable_rename,[status(thm)],[redefinition_k9_finseq_1])).
fof(c_0_20, plain, ![X31]:(v1_relat_1(k5_finseq_1(X31))&v1_funct_1(k5_finseq_1(X31))), inference(variable_rename,[status(thm)],[fc6_finseq_1])).
fof(c_0_21, plain, ![X39, X40, X41, X42, X43]:(v1_xboole_0(X39)|(~m1_subset_1(X40,X39)|(~v1_relat_1(X41)|~v4_relat_1(X41,X39)|~v1_funct_1(X41)|~v1_partfun1(X41,X39)|~v1_group_7(X41)|~v2_group_7(X41,X39)|(~m2_finseq_1(X42,k1_gr_free0(X41))|(~m2_finseq_1(X43,k1_gr_free0(X41))|r2_hidden(k4_tarski(k7_finseq_1(k7_finseq_1(X42,k9_finseq_1(k4_tarski(X40,k1_group_1(k1_group_7(X39,X41,X40))))),X43),k1_monoid_0(k1_gr_free0(X41),X42,X43)),k2_gr_free0(X39,X41))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])).
cnf(c_0_22, plain, (m2_finseq_1(k6_finseq_1(X1),X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_23, plain, (k6_finseq_1(X1)=k1_xboole_0), inference(spm,[status(thm)],[c_0_16, c_0_17])).
fof(c_0_24, plain, ![X44]:((k7_finseq_1(X44,k1_xboole_0)=X44|(~v1_relat_1(X44)|~v1_funct_1(X44)|~v1_finseq_1(X44)))&(k7_finseq_1(k1_xboole_0,X44)=X44|(~v1_relat_1(X44)|~v1_funct_1(X44)|~v1_finseq_1(X44)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t34_finseq_1])])])).
cnf(c_0_25, plain, (v1_finseq_1(k5_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_26, plain, (k9_finseq_1(X1)=k5_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_27, plain, (v1_funct_1(k5_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_28, plain, (v1_relat_1(k5_finseq_1(X1))), inference(split_conjunct,[status(thm)],[c_0_20])).
fof(c_0_29, plain, ![X33]:((((((m1_finseq_1(esk4_1(X33),X33)&v1_relat_1(esk4_1(X33)))&v5_relat_1(esk4_1(X33),X33))&v1_funct_1(esk4_1(X33)))&v1_xboole_0(esk4_1(X33)))&v1_finset_1(esk4_1(X33)))&v1_finseq_1(esk4_1(X33))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc3_finseq_1])])).
cnf(c_0_30, plain, (v1_xboole_0(X1)|r2_hidden(k4_tarski(k7_finseq_1(k7_finseq_1(X4,k9_finseq_1(k4_tarski(X2,k1_group_1(k1_group_7(X1,X3,X2))))),X5),k1_monoid_0(k1_gr_free0(X3),X4,X5)),k2_gr_free0(X1,X3))|~m1_subset_1(X2,X1)|~v1_relat_1(X3)|~v4_relat_1(X3,X1)|~v1_funct_1(X3)|~v1_partfun1(X3,X1)|~v1_group_7(X3)|~v2_group_7(X3,X1)|~m2_finseq_1(X4,k1_gr_free0(X3))|~m2_finseq_1(X5,k1_gr_free0(X3))), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_31, plain, (m2_finseq_1(k1_xboole_0,X1)), inference(rw,[status(thm)],[c_0_22, c_0_23])).
cnf(c_0_32, plain, (k7_finseq_1(k1_xboole_0,X1)=X1|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_33, plain, (v1_finseq_1(k9_finseq_1(X1))), inference(rw,[status(thm)],[c_0_25, c_0_26])).
cnf(c_0_34, plain, (v1_funct_1(k9_finseq_1(X1))), inference(rw,[status(thm)],[c_0_27, c_0_26])).
cnf(c_0_35, plain, (v1_relat_1(k9_finseq_1(X1))), inference(rw,[status(thm)],[c_0_28, c_0_26])).
cnf(c_0_36, plain, (k7_finseq_1(X1,k1_xboole_0)=X1|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_24])).
fof(c_0_37, negated_conjecture, ~(![X1]:(~v1_xboole_0(X1)=>![X2]:(m1_subset_1(X2,X1)=>![X3]:((((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))&v1_group_7(X3))&v2_group_7(X3,X1))=>r2_hidden(k4_tarski(k9_finseq_1(k4_tarski(X2,k1_group_1(k1_group_7(X1,X3,X2)))),k1_xboole_0),k2_gr_free0(X1,X3)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t28_gr_free0])])).
cnf(c_0_38, plain, (v1_xboole_0(esk4_1(X1))), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_39, plain, (v1_xboole_0(k1_gr_free0(k1_xboole_0))), inference(split_conjunct,[status(thm)],[fc3_gr_free0])).
cnf(c_0_40, plain, (r2_hidden(k4_tarski(k7_finseq_1(k7_finseq_1(X1,k9_finseq_1(k4_tarski(X2,k1_group_1(k1_group_7(X3,X4,X2))))),k1_xboole_0),k1_monoid_0(k1_gr_free0(X4),X1,k1_xboole_0)),k2_gr_free0(X3,X4))|v1_xboole_0(X3)|~m2_finseq_1(X1,k1_gr_free0(X4))|~v2_group_7(X4,X3)|~v1_group_7(X4)|~v1_partfun1(X4,X3)|~v1_funct_1(X4)|~v4_relat_1(X4,X3)|~v1_relat_1(X4)|~m1_subset_1(X2,X3)), inference(spm,[status(thm)],[c_0_30, c_0_31])).
cnf(c_0_41, plain, (k7_finseq_1(k1_xboole_0,k9_finseq_1(X1))=k9_finseq_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34]), c_0_35])])).
cnf(c_0_42, plain, (k7_finseq_1(k9_finseq_1(X1),k1_xboole_0)=k9_finseq_1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_33]), c_0_34]), c_0_35])])).
fof(c_0_43, negated_conjecture, (~v1_xboole_0(esk1_0)&(m1_subset_1(esk2_0,esk1_0)&((((((v1_relat_1(esk3_0)&v4_relat_1(esk3_0,esk1_0))&v1_funct_1(esk3_0))&v1_partfun1(esk3_0,esk1_0))&v1_group_7(esk3_0))&v2_group_7(esk3_0,esk1_0))&~r2_hidden(k4_tarski(k9_finseq_1(k4_tarski(esk2_0,k1_group_1(k1_group_7(esk1_0,esk3_0,esk2_0)))),k1_xboole_0),k2_gr_free0(esk1_0,esk3_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])).
cnf(c_0_44, plain, (v1_finseq_1(esk4_1(X1))), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_45, plain, (esk4_1(X1)=k1_xboole_0), inference(spm,[status(thm)],[c_0_16, c_0_38])).
cnf(c_0_46, plain, (v1_funct_1(esk4_1(X1))), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_47, plain, (v1_relat_1(k1_gr_free0(k1_xboole_0))), inference(split_conjunct,[status(thm)],[fc3_gr_free0])).
cnf(c_0_48, plain, (k1_gr_free0(k1_xboole_0)=k1_xboole_0), inference(spm,[status(thm)],[c_0_16, c_0_39])).
cnf(c_0_49, plain, (r2_hidden(k4_tarski(k9_finseq_1(k4_tarski(X1,k1_group_1(k1_group_7(X2,X3,X1)))),k1_monoid_0(k1_gr_free0(X3),k1_xboole_0,k1_xboole_0)),k2_gr_free0(X2,X3))|v1_xboole_0(X2)|~v2_group_7(X3,X2)|~v1_group_7(X3)|~v1_partfun1(X3,X2)|~v1_funct_1(X3)|~v4_relat_1(X3,X2)|~v1_relat_1(X3)|~m1_subset_1(X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_31]), c_0_41]), c_0_42])).
cnf(c_0_50, negated_conjecture, (v2_group_7(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_51, negated_conjecture, (v1_group_7(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_52, negated_conjecture, (v1_partfun1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_53, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_54, negated_conjecture, (v4_relat_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_55, negated_conjecture, (v1_relat_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_56, negated_conjecture, (~v1_xboole_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
fof(c_0_57, plain, ![X35, X36, X37]:(~m1_finseq_1(X36,X35)|~m1_finseq_1(X37,X35)|k1_monoid_0(X35,X36,X37)=k7_finseq_1(X36,X37)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_monoid_0])])).
cnf(c_0_58, plain, (v1_finseq_1(k1_xboole_0)), inference(rw,[status(thm)],[c_0_44, c_0_45])).
cnf(c_0_59, plain, (v1_funct_1(k1_xboole_0)), inference(rw,[status(thm)],[c_0_46, c_0_45])).
cnf(c_0_60, plain, (v1_relat_1(k1_xboole_0)), inference(rw,[status(thm)],[c_0_47, c_0_48])).
cnf(c_0_61, plain, (m1_finseq_1(esk4_1(X1),X1)), inference(split_conjunct,[status(thm)],[c_0_29])).
cnf(c_0_62, negated_conjecture, (r2_hidden(k4_tarski(k9_finseq_1(k4_tarski(X1,k1_group_1(k1_group_7(esk1_0,esk3_0,X1)))),k1_monoid_0(k1_gr_free0(esk3_0),k1_xboole_0,k1_xboole_0)),k2_gr_free0(esk1_0,esk3_0))|~m1_subset_1(X1,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(spm,[status(thm)],[c_0_49, c_0_50]), c_0_51]), c_0_52]), c_0_53]), c_0_54]), c_0_55])]), c_0_56])).
cnf(c_0_63, plain, (k1_monoid_0(X2,X1,X3)=k7_finseq_1(X1,X3)|~m1_finseq_1(X1,X2)|~m1_finseq_1(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_64, plain, (k7_finseq_1(k1_xboole_0,k1_xboole_0)=k1_xboole_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_58]), c_0_59]), c_0_60])])).
cnf(c_0_65, plain, (m1_finseq_1(k1_xboole_0,X1)), inference(rw,[status(thm)],[c_0_61, c_0_45])).
cnf(c_0_66, negated_conjecture, (~r2_hidden(k4_tarski(k9_finseq_1(k4_tarski(esk2_0,k1_group_1(k1_group_7(esk1_0,esk3_0,esk2_0)))),k1_xboole_0),k2_gr_free0(esk1_0,esk3_0))), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_67, negated_conjecture, (r2_hidden(k4_tarski(k9_finseq_1(k4_tarski(X1,k1_group_1(k1_group_7(esk1_0,esk3_0,X1)))),k1_xboole_0),k2_gr_free0(esk1_0,esk3_0))|~m1_subset_1(X1,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_64]), c_0_65])])).
cnf(c_0_68, negated_conjecture, (m1_subset_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_69, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_67]), c_0_68])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 70
# Proof object clause steps            : 45
# Proof object formula steps           : 25
# Proof object conjectures             : 15
# Proof object clause conjectures      : 12
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 26
# Proof object initial formulas used   : 12
# Proof object generating inferences   : 11
# Proof object simplifying inferences  : 31
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 12
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 29
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 28
# Processed clauses                    : 68
# ...of these trivial                  : 1
# ...subsumed                          : 0
# ...remaining for further processing  : 67
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 3
# Generated clauses                    : 14
# ...of the previous two non-trivial   : 13
# Contextual simplify-reflections      : 0
# Paramodulations                      : 14
# Factorizations                       : 0
# 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  : 36
#    Positive orientable unit clauses  : 24
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 10
# Current number of unprocessed clauses: 1
# ...number of literals in the above   : 8
# Current number of archived formulas  : 0
# Current number of archived clauses   : 32
# Clause-clause subsumption calls (NU) : 17
# Rec. Clause-clause subsumption calls : 1
# Non-unit clause-clause subsumptions  : 0
# Unit Clause-clause subsumption calls : 1
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 3
# BW rewrite match successes           : 3
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2423

# -------------------------------------------------
# User time                : 0.023 s
# System time              : 0.000 s
# Total time               : 0.023 s
# Maximum resident set size: 3440 pages
