# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2SI
# and selection function SelectNewComplexAHP.
#
# Preprocessing time       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(redefinition_k1_group_7, axiom, ![X1, X2, X3]:(((((((~(v1_xboole_0(X1))&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&m1_subset_1(X3,X1))=>k1_group_7(X1,X2,X3)=k1_funct_1(X2,X3)), file('gr_free0/gr_free0__t8_gr_free0', redefinition_k1_group_7)).
fof(t8_gr_free0, conjecture, ![X1, X2]:(~(v1_xboole_0(X2))=>![X3]:(m1_subset_1(X3,X2)=>![X4]:(((((v1_relat_1(X4)&v4_relat_1(X4,X2))&v1_funct_1(X4))&v1_partfun1(X4,X2))&v1_group_7(X4))=>(r2_hidden(k4_tarski(X3,X1),k1_gr_free0(X4))<=>r2_hidden(X1,u1_struct_0(k1_group_7(X2,X4,X3))))))), file('gr_free0/gr_free0__t8_gr_free0', t8_gr_free0)).
fof(d15_pralg_1, axiom, ![X1, X2]:(((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v2_pralg_1(X2))=>![X3]:((((v1_relat_1(X3)&v4_relat_1(X3,X1))&v1_funct_1(X3))&v1_partfun1(X3,X1))=>(X3=k14_pralg_1(X1,X2)<=>![X4]:~((r2_tarski(X4,X1)&![X5]:(l1_struct_0(X5)=>~((X5=k1_funct_1(X2,X4)&k1_funct_1(X3,X4)=u1_struct_0(X5))))))))), file('gr_free0/gr_free0__t8_gr_free0', d15_pralg_1)).
fof(dt_k14_pralg_1, axiom, ![X1, X2]:(((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v2_pralg_1(X2))=>(((v1_relat_1(k14_pralg_1(X1,X2))&v4_relat_1(k14_pralg_1(X1,X2),X1))&v1_funct_1(k14_pralg_1(X1,X2)))&v1_partfun1(k14_pralg_1(X1,X2),X1))), file('gr_free0/gr_free0__t8_gr_free0', dt_k14_pralg_1)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('gr_free0/gr_free0__t8_gr_free0', t2_subset)).
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__t8_gr_free0', cc1_group_7)).
fof(d2_partfun1, axiom, ![X1, X2]:((v1_relat_1(X2)&v4_relat_1(X2,X1))=>(v1_partfun1(X2,X1)<=>k1_relset_1(X1,X2)=X1)), file('gr_free0/gr_free0__t8_gr_free0', d2_partfun1)).
fof(redefinition_k14_pralg_1, axiom, ![X1, X2]:(((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v2_pralg_1(X2))=>k14_pralg_1(X1,X2)=k13_pralg_1(X2)), file('gr_free0/gr_free0__t8_gr_free0', redefinition_k14_pralg_1)).
fof(redefinition_k1_relset_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v4_relat_1(X2,X1))=>k1_relset_1(X1,X2)=k9_xtuple_0(X2)), file('gr_free0/gr_free0__t8_gr_free0', redefinition_k1_relset_1)).
fof(t6_gr_free0, axiom, ![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__t8_gr_free0', t6_gr_free0)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('gr_free0/gr_free0__t8_gr_free0', redefinition_r2_tarski)).
fof(c_0_11, plain, ![X1, X2, X3]:(((((((~v1_xboole_0(X1)&v1_relat_1(X2))&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&m1_subset_1(X3,X1))=>k1_group_7(X1,X2,X3)=k1_funct_1(X2,X3)), inference(fof_simplification,[status(thm)],[redefinition_k1_group_7])).
fof(c_0_12, negated_conjecture, ~(![X1, X2]:(~v1_xboole_0(X2)=>![X3]:(m1_subset_1(X3,X2)=>![X4]:(((((v1_relat_1(X4)&v4_relat_1(X4,X2))&v1_funct_1(X4))&v1_partfun1(X4,X2))&v1_group_7(X4))=>(r2_hidden(k4_tarski(X3,X1),k1_gr_free0(X4))<=>r2_hidden(X1,u1_struct_0(k1_group_7(X2,X4,X3)))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t8_gr_free0])])).
fof(c_0_13, plain, ![X52, X53, X54]:(v1_xboole_0(X52)|~v1_relat_1(X53)|~v4_relat_1(X53,X52)|~v1_funct_1(X53)|~v1_partfun1(X53,X52)|~v1_group_7(X53)|~m1_subset_1(X54,X52)|k1_group_7(X52,X53,X54)=k1_funct_1(X53,X54)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])).
fof(c_0_14, negated_conjecture, (~v1_xboole_0(esk2_0)&(m1_subset_1(esk3_0,esk2_0)&(((((v1_relat_1(esk4_0)&v4_relat_1(esk4_0,esk2_0))&v1_funct_1(esk4_0))&v1_partfun1(esk4_0,esk2_0))&v1_group_7(esk4_0))&((~r2_hidden(k4_tarski(esk3_0,esk1_0),k1_gr_free0(esk4_0))|~r2_hidden(esk1_0,u1_struct_0(k1_group_7(esk2_0,esk4_0,esk3_0))))&(r2_hidden(k4_tarski(esk3_0,esk1_0),k1_gr_free0(esk4_0))|r2_hidden(esk1_0,u1_struct_0(k1_group_7(esk2_0,esk4_0,esk3_0)))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])).
fof(c_0_15, plain, ![X39, X40, X41, X42, X45]:(((l1_struct_0(esk5_4(X39,X40,X41,X42))|~r2_tarski(X42,X39)|X41!=k14_pralg_1(X39,X40)|(~v1_relat_1(X41)|~v4_relat_1(X41,X39)|~v1_funct_1(X41)|~v1_partfun1(X41,X39))|(~v1_relat_1(X40)|~v4_relat_1(X40,X39)|~v1_funct_1(X40)|~v1_partfun1(X40,X39)|~v2_pralg_1(X40)))&((esk5_4(X39,X40,X41,X42)=k1_funct_1(X40,X42)|~r2_tarski(X42,X39)|X41!=k14_pralg_1(X39,X40)|(~v1_relat_1(X41)|~v4_relat_1(X41,X39)|~v1_funct_1(X41)|~v1_partfun1(X41,X39))|(~v1_relat_1(X40)|~v4_relat_1(X40,X39)|~v1_funct_1(X40)|~v1_partfun1(X40,X39)|~v2_pralg_1(X40)))&(k1_funct_1(X41,X42)=u1_struct_0(esk5_4(X39,X40,X41,X42))|~r2_tarski(X42,X39)|X41!=k14_pralg_1(X39,X40)|(~v1_relat_1(X41)|~v4_relat_1(X41,X39)|~v1_funct_1(X41)|~v1_partfun1(X41,X39))|(~v1_relat_1(X40)|~v4_relat_1(X40,X39)|~v1_funct_1(X40)|~v1_partfun1(X40,X39)|~v2_pralg_1(X40)))))&((r2_tarski(esk6_3(X39,X40,X41),X39)|X41=k14_pralg_1(X39,X40)|(~v1_relat_1(X41)|~v4_relat_1(X41,X39)|~v1_funct_1(X41)|~v1_partfun1(X41,X39))|(~v1_relat_1(X40)|~v4_relat_1(X40,X39)|~v1_funct_1(X40)|~v1_partfun1(X40,X39)|~v2_pralg_1(X40)))&(~l1_struct_0(X45)|(X45!=k1_funct_1(X40,esk6_3(X39,X40,X41))|k1_funct_1(X41,esk6_3(X39,X40,X41))!=u1_struct_0(X45))|X41=k14_pralg_1(X39,X40)|(~v1_relat_1(X41)|~v4_relat_1(X41,X39)|~v1_funct_1(X41)|~v1_partfun1(X41,X39))|(~v1_relat_1(X40)|~v4_relat_1(X40,X39)|~v1_funct_1(X40)|~v1_partfun1(X40,X39)|~v2_pralg_1(X40))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d15_pralg_1])])])])])).
fof(c_0_16, plain, ![X48, X49]:((((v1_relat_1(k14_pralg_1(X48,X49))|(~v1_relat_1(X49)|~v4_relat_1(X49,X48)|~v1_funct_1(X49)|~v1_partfun1(X49,X48)|~v2_pralg_1(X49)))&(v4_relat_1(k14_pralg_1(X48,X49),X48)|(~v1_relat_1(X49)|~v4_relat_1(X49,X48)|~v1_funct_1(X49)|~v1_partfun1(X49,X48)|~v2_pralg_1(X49))))&(v1_funct_1(k14_pralg_1(X48,X49))|(~v1_relat_1(X49)|~v4_relat_1(X49,X48)|~v1_funct_1(X49)|~v1_partfun1(X49,X48)|~v2_pralg_1(X49))))&(v1_partfun1(k14_pralg_1(X48,X49),X48)|(~v1_relat_1(X49)|~v4_relat_1(X49,X48)|~v1_funct_1(X49)|~v1_partfun1(X49,X48)|~v2_pralg_1(X49)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k14_pralg_1])])])).
fof(c_0_17, plain, ![X59, X60]:(~m1_subset_1(X59,X60)|(v1_xboole_0(X60)|r2_tarski(X59,X60))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
cnf(c_0_18, plain, (v1_xboole_0(X1)|k1_group_7(X1,X2,X3)=k1_funct_1(X2,X3)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_19, negated_conjecture, (v1_partfun1(esk4_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_20, negated_conjecture, (v1_group_7(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_21, negated_conjecture, (v1_funct_1(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_22, negated_conjecture, (v4_relat_1(esk4_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_23, negated_conjecture, (v1_relat_1(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_24, negated_conjecture, (~v1_xboole_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
fof(c_0_25, plain, ![X38]:(((v1_relat_1(X38)|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v1_group_7(X38)))&(v1_funct_1(X38)|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v1_group_7(X38))))&(v2_pralg_1(X38)|(~v1_relat_1(X38)|~v1_funct_1(X38)|~v1_group_7(X38)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_group_7])])])).
fof(c_0_26, plain, ![X46, X47]:((~v1_partfun1(X47,X46)|k1_relset_1(X46,X47)=X46|(~v1_relat_1(X47)|~v4_relat_1(X47,X46)))&(k1_relset_1(X46,X47)!=X46|v1_partfun1(X47,X46)|(~v1_relat_1(X47)|~v4_relat_1(X47,X46)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_partfun1])])])).
cnf(c_0_27, plain, (esk5_4(X1,X2,X3,X4)=k1_funct_1(X2,X4)|~r2_tarski(X4,X1)|X3!=k14_pralg_1(X1,X2)|~v1_relat_1(X3)|~v4_relat_1(X3,X1)|~v1_funct_1(X3)|~v1_partfun1(X3,X1)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v2_pralg_1(X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_28, plain, (v1_relat_1(k14_pralg_1(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v2_pralg_1(X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_29, plain, (v4_relat_1(k14_pralg_1(X1,X2),X1)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v2_pralg_1(X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_30, plain, (v1_funct_1(k14_pralg_1(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v2_pralg_1(X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_31, plain, (v1_partfun1(k14_pralg_1(X1,X2),X1)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v2_pralg_1(X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_32, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_33, negated_conjecture, (m1_subset_1(esk3_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_34, negated_conjecture, (k1_group_7(esk2_0,esk4_0,X1)=k1_funct_1(esk4_0,X1)|~m1_subset_1(X1,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(spm,[status(thm)],[c_0_18, c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23])]), c_0_24])).
fof(c_0_35, plain, ![X50, X51]:(~v1_relat_1(X51)|~v4_relat_1(X51,X50)|~v1_funct_1(X51)|~v1_partfun1(X51,X50)|~v2_pralg_1(X51)|k14_pralg_1(X50,X51)=k13_pralg_1(X51)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k14_pralg_1])])).
cnf(c_0_36, plain, (v2_pralg_1(X1)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_group_7(X1)), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_37, plain, ![X55, X56]:(~v1_relat_1(X56)|~v4_relat_1(X56,X55)|k1_relset_1(X55,X56)=k9_xtuple_0(X56)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_relset_1])])).
cnf(c_0_38, plain, (k1_relset_1(X2,X1)=X2|~v1_partfun1(X1,X2)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_39, plain, (k1_funct_1(X1,X2)=u1_struct_0(esk5_4(X3,X4,X1,X2))|~r2_tarski(X2,X3)|X1!=k14_pralg_1(X3,X4)|~v1_relat_1(X1)|~v4_relat_1(X1,X3)|~v1_funct_1(X1)|~v1_partfun1(X1,X3)|~v1_relat_1(X4)|~v4_relat_1(X4,X3)|~v1_funct_1(X4)|~v1_partfun1(X4,X3)|~v2_pralg_1(X4)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_40, plain, (esk5_4(X1,X2,k14_pralg_1(X1,X2),X3)=k1_funct_1(X2,X3)|~r2_tarski(X3,X1)|~v2_pralg_1(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31])).
cnf(c_0_41, negated_conjecture, (r2_tarski(esk3_0,esk2_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_24])).
fof(c_0_42, plain, ![X61, X62, X63]:(((r2_hidden(X61,k9_xtuple_0(X63))|~r2_hidden(k4_tarski(X61,X62),k1_gr_free0(X63))|(~v1_relat_1(X63)|~v1_funct_1(X63)|~v1_group_7(X63)))&(r2_hidden(X62,k1_funct_1(k13_pralg_1(X63),X61))|~r2_hidden(k4_tarski(X61,X62),k1_gr_free0(X63))|(~v1_relat_1(X63)|~v1_funct_1(X63)|~v1_group_7(X63))))&(~r2_hidden(X61,k9_xtuple_0(X63))|~r2_hidden(X62,k1_funct_1(k13_pralg_1(X63),X61))|r2_hidden(k4_tarski(X61,X62),k1_gr_free0(X63))|(~v1_relat_1(X63)|~v1_funct_1(X63)|~v1_group_7(X63)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_gr_free0])])])).
cnf(c_0_43, negated_conjecture, (r2_hidden(k4_tarski(esk3_0,esk1_0),k1_gr_free0(esk4_0))|r2_hidden(esk1_0,u1_struct_0(k1_group_7(esk2_0,esk4_0,esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_44, negated_conjecture, (k1_group_7(esk2_0,esk4_0,esk3_0)=k1_funct_1(esk4_0,esk3_0)), inference(spm,[status(thm)],[c_0_34, c_0_33])).
cnf(c_0_45, plain, (k14_pralg_1(X2,X1)=k13_pralg_1(X1)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)|~v1_funct_1(X1)|~v1_partfun1(X1,X2)|~v2_pralg_1(X1)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_46, negated_conjecture, (v2_pralg_1(esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_20]), c_0_21]), c_0_23])])).
cnf(c_0_47, plain, (k1_relset_1(X2,X1)=k9_xtuple_0(X1)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_48, negated_conjecture, (k1_relset_1(esk2_0,esk4_0)=esk2_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_19]), c_0_22]), c_0_23])])).
fof(c_0_49, plain, ![X57, X58]:((~r2_tarski(X57,X58)|r2_hidden(X57,X58))&(~r2_hidden(X57,X58)|r2_tarski(X57,X58))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_50, plain, (u1_struct_0(esk5_4(X1,X2,k14_pralg_1(X1,X2),X3))=k1_funct_1(k14_pralg_1(X1,X2),X3)|~r2_tarski(X3,X1)|~v2_pralg_1(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_39]), c_0_28]), c_0_29]), c_0_30]), c_0_31])).
cnf(c_0_51, negated_conjecture, (esk5_4(esk2_0,X1,k14_pralg_1(esk2_0,X1),esk3_0)=k1_funct_1(X1,esk3_0)|~v2_pralg_1(X1)|~v1_partfun1(X1,esk2_0)|~v1_funct_1(X1)|~v4_relat_1(X1,esk2_0)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_40, c_0_41])).
cnf(c_0_52, negated_conjecture, (~r2_hidden(k4_tarski(esk3_0,esk1_0),k1_gr_free0(esk4_0))|~r2_hidden(esk1_0,u1_struct_0(k1_group_7(esk2_0,esk4_0,esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_14])).
cnf(c_0_53, plain, (r2_hidden(X1,k1_funct_1(k13_pralg_1(X2),X3))|~r2_hidden(k4_tarski(X3,X1),k1_gr_free0(X2))|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_group_7(X2)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_54, negated_conjecture, (r2_hidden(k4_tarski(esk3_0,esk1_0),k1_gr_free0(esk4_0))|r2_hidden(esk1_0,u1_struct_0(k1_funct_1(esk4_0,esk3_0)))), inference(rw,[status(thm)],[c_0_43, c_0_44])).
cnf(c_0_55, negated_conjecture, (k13_pralg_1(esk4_0)=k14_pralg_1(esk2_0,esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_19]), c_0_21]), c_0_22]), c_0_23])]), c_0_46])])).
cnf(c_0_56, plain, (r2_hidden(k4_tarski(X1,X3),k1_gr_free0(X2))|~r2_hidden(X1,k9_xtuple_0(X2))|~r2_hidden(X3,k1_funct_1(k13_pralg_1(X2),X1))|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_group_7(X2)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_57, negated_conjecture, (k9_xtuple_0(esk4_0)=esk2_0), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_22]), c_0_23])]), c_0_48])).
cnf(c_0_58, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_59, negated_conjecture, (u1_struct_0(esk5_4(esk2_0,X1,k14_pralg_1(esk2_0,X1),esk3_0))=k1_funct_1(k14_pralg_1(esk2_0,X1),esk3_0)|~v2_pralg_1(X1)|~v1_partfun1(X1,esk2_0)|~v1_funct_1(X1)|~v4_relat_1(X1,esk2_0)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_50, c_0_41])).
cnf(c_0_60, negated_conjecture, (esk5_4(esk2_0,esk4_0,k14_pralg_1(esk2_0,esk4_0),esk3_0)=k1_funct_1(esk4_0,esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_19]), c_0_46]), c_0_21]), c_0_22]), c_0_23])])).
cnf(c_0_61, negated_conjecture, (~r2_hidden(esk1_0,u1_struct_0(k1_funct_1(esk4_0,esk3_0)))|~r2_hidden(k4_tarski(esk3_0,esk1_0),k1_gr_free0(esk4_0))), inference(rw,[status(thm)],[c_0_52, c_0_44])).
cnf(c_0_62, negated_conjecture, (r2_hidden(esk1_0,k1_funct_1(k14_pralg_1(esk2_0,esk4_0),esk3_0))|r2_hidden(esk1_0,u1_struct_0(k1_funct_1(esk4_0,esk3_0)))), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_20]), c_0_21]), c_0_23])]), c_0_55])).
cnf(c_0_63, negated_conjecture, (r2_hidden(k4_tarski(X1,X2),k1_gr_free0(esk4_0))|~r2_hidden(X2,k1_funct_1(k14_pralg_1(esk2_0,esk4_0),X1))|~r2_hidden(X1,esk2_0)), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_20]), c_0_21]), c_0_23])]), c_0_55])).
cnf(c_0_64, negated_conjecture, (r2_hidden(esk3_0,esk2_0)), inference(spm,[status(thm)],[c_0_58, c_0_41])).
cnf(c_0_65, negated_conjecture, (u1_struct_0(k1_funct_1(esk4_0,esk3_0))=k1_funct_1(k14_pralg_1(esk2_0,esk4_0),esk3_0)), 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_59, c_0_19]), c_0_60]), c_0_46]), c_0_21]), c_0_22]), c_0_23])])).
cnf(c_0_66, negated_conjecture, (r2_hidden(esk1_0,k1_funct_1(k14_pralg_1(esk2_0,esk4_0),esk3_0))|~r2_hidden(k4_tarski(esk3_0,esk1_0),k1_gr_free0(esk4_0))), inference(spm,[status(thm)],[c_0_61, c_0_62])).
cnf(c_0_67, negated_conjecture, (r2_hidden(k4_tarski(esk3_0,X1),k1_gr_free0(esk4_0))|~r2_hidden(X1,k1_funct_1(k14_pralg_1(esk2_0,esk4_0),esk3_0))), inference(spm,[status(thm)],[c_0_63, c_0_64])).
cnf(c_0_68, negated_conjecture, (r2_hidden(esk1_0,k1_funct_1(k14_pralg_1(esk2_0,esk4_0),esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_65])])).
cnf(c_0_69, negated_conjecture, (~r2_hidden(k4_tarski(esk3_0,esk1_0),k1_gr_free0(esk4_0))), inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_61, c_0_65]), c_0_66])).
cnf(c_0_70, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_68]), c_0_69]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 71
# Proof object clause steps            : 47
# Proof object formula steps           : 24
# Proof object conjectures             : 33
# Proof object clause conjectures      : 30
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 24
# Proof object initial formulas used   : 11
# Proof object generating inferences   : 17
# Proof object simplifying inferences  : 60
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 11
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 32
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 30
# Processed clauses                    : 113
# ...of these trivial                  : 3
# ...subsumed                          : 4
# ...remaining for further processing  : 106
# Other redundant clauses eliminated   : 4
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 9
# Generated clauses                    : 70
# ...of the previous two non-trivial   : 73
# Contextual simplify-reflections      : 13
# Paramodulations                      : 66
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 4
# 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  : 63
#    Positive orientable unit clauses  : 24
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 37
# Current number of unprocessed clauses: 19
# ...number of literals in the above   : 104
# Current number of archived formulas  : 0
# Current number of archived clauses   : 39
# Clause-clause subsumption calls (NU) : 1348
# Rec. Clause-clause subsumption calls : 115
# Non-unit clause-clause subsumptions  : 17
# Unit Clause-clause subsumption calls : 36
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 5
# BW rewrite match successes           : 4
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 5542

# -------------------------------------------------
# User time                : 0.029 s
# System time              : 0.000 s
# Total time               : 0.029 s
# Maximum resident set size: 3524 pages
