# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
# and selection function SelectCQIPrecWNTNp.
#
# Preprocessing time       : 0.018 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(l85_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))&v3_group_7(X3,X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))=>k1_funct_1(k9_gr_free0(X1,X3,k4_gr_free0(X1,X3),k8_gr_free0(X1,X3)),k4_tarski(X2,X4))=k5_gr_free0(X1,X3,X2,X4))))), file('gr_free0/gr_free0__l85_gr_free0', l85_gr_free0)).
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__l85_gr_free0', redefinition_k1_relset_1)).
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__l85_gr_free0', d2_partfun1)).
fof(dt_k8_gr_free0, axiom, ![X1, X2]:((((((((~(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))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>m1_gr_free0(k8_gr_free0(X1,X2),X1,X2,k4_gr_free0(X1,X2))), file('gr_free0/gr_free0__l85_gr_free0', dt_k8_gr_free0)).
fof(dt_k4_gr_free0, axiom, ![X1, X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>((((~(v2_struct_0(k4_gr_free0(X1,X2)))&v15_algstr_0(k4_gr_free0(X1,X2)))&v2_group_1(k4_gr_free0(X1,X2)))&v3_group_1(k4_gr_free0(X1,X2)))&l3_algstr_0(k4_gr_free0(X1,X2)))), file('gr_free0/gr_free0__l85_gr_free0', dt_k4_gr_free0)).
fof(d9_gr_free0, axiom, ![X1]:(~(v1_xboole_0(X1))=>![X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>![X3]:(m1_gr_free0(X3,X1,X2,k4_gr_free0(X1,X2))=>(X3=k8_gr_free0(X1,X2)<=>![X4]:(m1_subset_1(X4,X1)=>k1_funct_1(X3,X4)=k6_gr_free0(X1,X2,X4)))))), file('gr_free0/gr_free0__l85_gr_free0', d9_gr_free0)).
fof(dt_m1_gr_free0, 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))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&~(v2_struct_0(X3)))&v2_group_1(X3))&v3_group_1(X3))&l3_algstr_0(X3))=>![X4]:(m1_gr_free0(X4,X1,X2,X3)=>((((v1_relat_1(X4)&v4_relat_1(X4,X1))&v1_funct_1(X4))&v1_partfun1(X4,X1))&v1_funcop_1(X4)))), file('gr_free0/gr_free0__l85_gr_free0', dt_m1_gr_free0)).
fof(dt_k6_gr_free0, 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))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,X1))=>((v1_funct_1(k6_gr_free0(X1,X2,X3))&v1_funct_2(k6_gr_free0(X1,X2,X3),u1_struct_0(k2_group_19(X1,X2,X3)),u1_struct_0(k4_gr_free0(X1,X2))))&m1_subset_1(k6_gr_free0(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(X1,X2,X3)),u1_struct_0(k4_gr_free0(X1,X2))))))), file('gr_free0/gr_free0__l85_gr_free0', dt_k6_gr_free0)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('gr_free0/gr_free0__l85_gr_free0', t2_subset)).
fof(t38_funct_5, axiom, ![X1, X2, X3]:((v1_relat_1(X3)&v1_funct_1(X3))=>![X4]:((v1_relat_1(X4)&v1_funct_1(X4))=>(((r2_hidden(X1,k9_xtuple_0(X3))&X4=k1_funct_1(X3,X1))&r2_hidden(X2,k9_xtuple_0(X4)))=>((r2_hidden(k4_tarski(X1,X2),k9_xtuple_0(k2_funct_5(X3)))&k1_binop_1(k2_funct_5(X3),X1,X2)=k1_funct_1(X4,X2))&r2_tarski(k1_funct_1(X4,X2),k10_xtuple_0(k2_funct_5(X3))))))), file('gr_free0/gr_free0__l85_gr_free0', t38_funct_5)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('gr_free0/gr_free0__l85_gr_free0', redefinition_r2_tarski)).
fof(t55_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))&v3_group_7(X3,X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))=>k3_funct_2(u1_struct_0(k2_group_19(X1,X3,X2)),u1_struct_0(k4_gr_free0(X1,X3)),k6_gr_free0(X1,X3,X2),X4)=k5_gr_free0(X1,X3,X2,X4))))), file('gr_free0/gr_free0__l85_gr_free0', t55_gr_free0)).
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('gr_free0/gr_free0__l85_gr_free0', cc2_relset_1)).
fof(cc1_relset_1, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>v1_relat_1(X3)), file('gr_free0/gr_free0__l85_gr_free0', cc1_relset_1)).
fof(d1_funct_2, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>((X2!=k1_xboole_0=>(v1_funct_2(X3,X1,X2)<=>X1=k1_relset_1(X1,X3)))&(X2=k1_xboole_0=>(v1_funct_2(X3,X1,X2)<=>X3=k1_xboole_0)))), file('gr_free0/gr_free0__l85_gr_free0', d1_funct_2)).
fof(redefinition_k3_funct_2, axiom, ![X1, X2, X3, X4]:(((((~(v1_xboole_0(X1))&v1_funct_1(X3))&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&m1_subset_1(X4,X1))=>k3_funct_2(X1,X2,X3,X4)=k1_funct_1(X3,X4)), file('gr_free0/gr_free0__l85_gr_free0', redefinition_k3_funct_2)).
fof(redefinition_k9_gr_free0, axiom, ![X1, X2, X3, X4]:(((((((((((((~(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))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&~(v2_struct_0(X3)))&v2_group_1(X3))&v3_group_1(X3))&l3_algstr_0(X3))&m1_gr_free0(X4,X1,X2,X3))=>k9_gr_free0(X1,X2,X3,X4)=k2_funct_5(X4)), file('gr_free0/gr_free0__l85_gr_free0', redefinition_k9_gr_free0)).
fof(d1_binop_1, axiom, ![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>![X2, X3]:k1_binop_1(X1,X2,X3)=k1_funct_1(X1,k4_tarski(X2,X3))), file('gr_free0/gr_free0__l85_gr_free0', d1_binop_1)).
fof(dt_k2_funct_5, axiom, ![X1]:((v1_relat_1(X1)&v1_funct_1(X1))=>(v1_relat_1(k2_funct_5(X1))&v1_funct_1(k2_funct_5(X1)))), file('gr_free0/gr_free0__l85_gr_free0', dt_k2_funct_5)).
fof(dt_k2_group_19, 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))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,X1))=>(((~(v2_struct_0(k2_group_19(X1,X2,X3)))&v2_group_1(k2_group_19(X1,X2,X3)))&v3_group_1(k2_group_19(X1,X2,X3)))&l3_algstr_0(k2_group_19(X1,X2,X3)))), file('gr_free0/gr_free0__l85_gr_free0', dt_k2_group_19)).
fof(fc2_struct_0, axiom, ![X1]:((~(v2_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))), file('gr_free0/gr_free0__l85_gr_free0', fc2_struct_0)).
fof(dt_l3_algstr_0, axiom, ![X1]:(l3_algstr_0(X1)=>l1_struct_0(X1)), file('gr_free0/gr_free0__l85_gr_free0', dt_l3_algstr_0)).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0), file('gr_free0/gr_free0__l85_gr_free0', fc1_xboole_0)).
fof(c_0_23, 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))&v3_group_7(X3,X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))=>k1_funct_1(k9_gr_free0(X1,X3,k4_gr_free0(X1,X3),k8_gr_free0(X1,X3)),k4_tarski(X2,X4))=k5_gr_free0(X1,X3,X2,X4)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l85_gr_free0])])).
fof(c_0_24, plain, ![X106, X107]:(~v1_relat_1(X107)|~v4_relat_1(X107,X106)|k1_relset_1(X106,X107)=k9_xtuple_0(X107)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_relset_1])])).
fof(c_0_25, 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))&v3_group_7(esk3_0,esk1_0))&(m1_subset_1(esk4_0,u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))&k1_funct_1(k9_gr_free0(esk1_0,esk3_0,k4_gr_free0(esk1_0,esk3_0),k8_gr_free0(esk1_0,esk3_0)),k4_tarski(esk2_0,esk4_0))!=k5_gr_free0(esk1_0,esk3_0,esk2_0,esk4_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])).
fof(c_0_26, plain, ![X82, X83]:((~v1_partfun1(X83,X82)|k1_relset_1(X82,X83)=X82|(~v1_relat_1(X83)|~v4_relat_1(X83,X82)))&(k1_relset_1(X82,X83)!=X82|v1_partfun1(X83,X82)|(~v1_relat_1(X83)|~v4_relat_1(X83,X82)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_partfun1])])])).
cnf(c_0_27, 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_24])).
cnf(c_0_28, negated_conjecture, (v4_relat_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_29, negated_conjecture, (v1_relat_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_30, plain, ![X1, X2]:((((((((~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))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>m1_gr_free0(k8_gr_free0(X1,X2),X1,X2,k4_gr_free0(X1,X2))), inference(fof_simplification,[status(thm)],[dt_k8_gr_free0])).
cnf(c_0_31, 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_32, negated_conjecture, (v1_partfun1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_33, negated_conjecture, (k1_relset_1(esk1_0,esk3_0)=k9_xtuple_0(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29])])).
fof(c_0_34, plain, ![X1, X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>((((~v2_struct_0(k4_gr_free0(X1,X2))&v15_algstr_0(k4_gr_free0(X1,X2)))&v2_group_1(k4_gr_free0(X1,X2)))&v3_group_1(k4_gr_free0(X1,X2)))&l3_algstr_0(k4_gr_free0(X1,X2)))), inference(fof_simplification,[status(thm)],[dt_k4_gr_free0])).
fof(c_0_35, plain, ![X1]:(~v1_xboole_0(X1)=>![X2]:(((((((v1_relat_1(X2)&v4_relat_1(X2,X1))&v1_funct_1(X2))&v1_partfun1(X2,X1))&v1_group_7(X2))&v2_group_7(X2,X1))&v3_group_7(X2,X1))=>![X3]:(m1_gr_free0(X3,X1,X2,k4_gr_free0(X1,X2))=>(X3=k8_gr_free0(X1,X2)<=>![X4]:(m1_subset_1(X4,X1)=>k1_funct_1(X3,X4)=k6_gr_free0(X1,X2,X4)))))), inference(fof_simplification,[status(thm)],[d9_gr_free0])).
fof(c_0_36, 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))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&~v2_struct_0(X3))&v2_group_1(X3))&v3_group_1(X3))&l3_algstr_0(X3))=>![X4]:(m1_gr_free0(X4,X1,X2,X3)=>((((v1_relat_1(X4)&v4_relat_1(X4,X1))&v1_funct_1(X4))&v1_partfun1(X4,X1))&v1_funcop_1(X4)))), inference(fof_simplification,[status(thm)],[dt_m1_gr_free0])).
fof(c_0_37, plain, ![X98, X99]:(v1_xboole_0(X98)|~v1_relat_1(X99)|~v4_relat_1(X99,X98)|~v1_funct_1(X99)|~v1_partfun1(X99,X98)|~v1_group_7(X99)|~v2_group_7(X99,X98)|~v3_group_7(X99,X98)|m1_gr_free0(k8_gr_free0(X98,X99),X98,X99,k4_gr_free0(X98,X99))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])).
cnf(c_0_38, negated_conjecture, (v3_group_7(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_39, negated_conjecture, (esk1_0=k9_xtuple_0(esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_33]), c_0_28]), c_0_29])])).
cnf(c_0_40, negated_conjecture, (v2_group_7(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_41, negated_conjecture, (~v1_xboole_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_42, plain, ![X93, X94]:(((((~v2_struct_0(k4_gr_free0(X93,X94))|(~v1_relat_1(X94)|~v4_relat_1(X94,X93)|~v1_funct_1(X94)|~v1_partfun1(X94,X93)|~v1_group_7(X94)|~v2_group_7(X94,X93)|~v3_group_7(X94,X93)))&(v15_algstr_0(k4_gr_free0(X93,X94))|(~v1_relat_1(X94)|~v4_relat_1(X94,X93)|~v1_funct_1(X94)|~v1_partfun1(X94,X93)|~v1_group_7(X94)|~v2_group_7(X94,X93)|~v3_group_7(X94,X93))))&(v2_group_1(k4_gr_free0(X93,X94))|(~v1_relat_1(X94)|~v4_relat_1(X94,X93)|~v1_funct_1(X94)|~v1_partfun1(X94,X93)|~v1_group_7(X94)|~v2_group_7(X94,X93)|~v3_group_7(X94,X93))))&(v3_group_1(k4_gr_free0(X93,X94))|(~v1_relat_1(X94)|~v4_relat_1(X94,X93)|~v1_funct_1(X94)|~v1_partfun1(X94,X93)|~v1_group_7(X94)|~v2_group_7(X94,X93)|~v3_group_7(X94,X93))))&(l3_algstr_0(k4_gr_free0(X93,X94))|(~v1_relat_1(X94)|~v4_relat_1(X94,X93)|~v1_funct_1(X94)|~v1_partfun1(X94,X93)|~v1_group_7(X94)|~v2_group_7(X94,X93)|~v3_group_7(X94,X93)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])).
fof(c_0_43, plain, ![X84, X85, X86, X87]:((X86!=k8_gr_free0(X84,X85)|(~m1_subset_1(X87,X84)|k1_funct_1(X86,X87)=k6_gr_free0(X84,X85,X87))|~m1_gr_free0(X86,X84,X85,k4_gr_free0(X84,X85))|(~v1_relat_1(X85)|~v4_relat_1(X85,X84)|~v1_funct_1(X85)|~v1_partfun1(X85,X84)|~v1_group_7(X85)|~v2_group_7(X85,X84)|~v3_group_7(X85,X84))|v1_xboole_0(X84))&((m1_subset_1(esk5_3(X84,X85,X86),X84)|X86=k8_gr_free0(X84,X85)|~m1_gr_free0(X86,X84,X85,k4_gr_free0(X84,X85))|(~v1_relat_1(X85)|~v4_relat_1(X85,X84)|~v1_funct_1(X85)|~v1_partfun1(X85,X84)|~v1_group_7(X85)|~v2_group_7(X85,X84)|~v3_group_7(X85,X84))|v1_xboole_0(X84))&(k1_funct_1(X86,esk5_3(X84,X85,X86))!=k6_gr_free0(X84,X85,esk5_3(X84,X85,X86))|X86=k8_gr_free0(X84,X85)|~m1_gr_free0(X86,X84,X85,k4_gr_free0(X84,X85))|(~v1_relat_1(X85)|~v4_relat_1(X85,X84)|~v1_funct_1(X85)|~v1_partfun1(X85,X84)|~v1_group_7(X85)|~v2_group_7(X85,X84)|~v3_group_7(X85,X84))|v1_xboole_0(X84)))), 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_35])])])])])).
fof(c_0_44, plain, ![X101, X102, X103, X104]:(((((v1_relat_1(X104)|~m1_gr_free0(X104,X101,X102,X103)|(v1_xboole_0(X101)|~v1_relat_1(X102)|~v4_relat_1(X102,X101)|~v1_funct_1(X102)|~v1_partfun1(X102,X101)|~v1_group_7(X102)|~v2_group_7(X102,X101)|~v3_group_7(X102,X101)|v2_struct_0(X103)|~v2_group_1(X103)|~v3_group_1(X103)|~l3_algstr_0(X103)))&(v4_relat_1(X104,X101)|~m1_gr_free0(X104,X101,X102,X103)|(v1_xboole_0(X101)|~v1_relat_1(X102)|~v4_relat_1(X102,X101)|~v1_funct_1(X102)|~v1_partfun1(X102,X101)|~v1_group_7(X102)|~v2_group_7(X102,X101)|~v3_group_7(X102,X101)|v2_struct_0(X103)|~v2_group_1(X103)|~v3_group_1(X103)|~l3_algstr_0(X103))))&(v1_funct_1(X104)|~m1_gr_free0(X104,X101,X102,X103)|(v1_xboole_0(X101)|~v1_relat_1(X102)|~v4_relat_1(X102,X101)|~v1_funct_1(X102)|~v1_partfun1(X102,X101)|~v1_group_7(X102)|~v2_group_7(X102,X101)|~v3_group_7(X102,X101)|v2_struct_0(X103)|~v2_group_1(X103)|~v3_group_1(X103)|~l3_algstr_0(X103))))&(v1_partfun1(X104,X101)|~m1_gr_free0(X104,X101,X102,X103)|(v1_xboole_0(X101)|~v1_relat_1(X102)|~v4_relat_1(X102,X101)|~v1_funct_1(X102)|~v1_partfun1(X102,X101)|~v1_group_7(X102)|~v2_group_7(X102,X101)|~v3_group_7(X102,X101)|v2_struct_0(X103)|~v2_group_1(X103)|~v3_group_1(X103)|~l3_algstr_0(X103))))&(v1_funcop_1(X104)|~m1_gr_free0(X104,X101,X102,X103)|(v1_xboole_0(X101)|~v1_relat_1(X102)|~v4_relat_1(X102,X101)|~v1_funct_1(X102)|~v1_partfun1(X102,X101)|~v1_group_7(X102)|~v2_group_7(X102,X101)|~v3_group_7(X102,X101)|v2_struct_0(X103)|~v2_group_1(X103)|~v3_group_1(X103)|~l3_algstr_0(X103)))), 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_45, plain, (v1_xboole_0(X1)|m1_gr_free0(k8_gr_free0(X1,X2),X1,X2,k4_gr_free0(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_46, negated_conjecture, (v3_group_7(esk3_0,k9_xtuple_0(esk3_0))), inference(rw,[status(thm)],[c_0_38, c_0_39])).
cnf(c_0_47, negated_conjecture, (v2_group_7(esk3_0,k9_xtuple_0(esk3_0))), inference(rw,[status(thm)],[c_0_40, c_0_39])).
cnf(c_0_48, negated_conjecture, (v1_group_7(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_49, negated_conjecture, (v1_partfun1(esk3_0,k9_xtuple_0(esk3_0))), inference(rw,[status(thm)],[c_0_32, c_0_39])).
cnf(c_0_50, negated_conjecture, (v1_funct_1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_51, negated_conjecture, (v4_relat_1(esk3_0,k9_xtuple_0(esk3_0))), inference(rw,[status(thm)],[c_0_28, c_0_39])).
cnf(c_0_52, negated_conjecture, (~v1_xboole_0(k9_xtuple_0(esk3_0))), inference(rw,[status(thm)],[c_0_41, c_0_39])).
cnf(c_0_53, plain, (l3_algstr_0(k4_gr_free0(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_54, plain, (v3_group_1(k4_gr_free0(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_55, plain, (v2_group_1(k4_gr_free0(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_42])).
fof(c_0_56, 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))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,X1))=>((v1_funct_1(k6_gr_free0(X1,X2,X3))&v1_funct_2(k6_gr_free0(X1,X2,X3),u1_struct_0(k2_group_19(X1,X2,X3)),u1_struct_0(k4_gr_free0(X1,X2))))&m1_subset_1(k6_gr_free0(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(X1,X2,X3)),u1_struct_0(k4_gr_free0(X1,X2))))))), inference(fof_simplification,[status(thm)],[dt_k6_gr_free0])).
cnf(c_0_57, plain, (k1_funct_1(X1,X4)=k6_gr_free0(X2,X3,X4)|v1_xboole_0(X2)|X1!=k8_gr_free0(X2,X3)|~m1_subset_1(X4,X2)|~m1_gr_free0(X1,X2,X3,k4_gr_free0(X2,X3))|~v1_relat_1(X3)|~v4_relat_1(X3,X2)|~v1_funct_1(X3)|~v1_partfun1(X3,X2)|~v1_group_7(X3)|~v2_group_7(X3,X2)|~v3_group_7(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_58, plain, (v4_relat_1(X1,X2)|v1_xboole_0(X2)|v2_struct_0(X4)|~m1_gr_free0(X1,X2,X3,X4)|~v1_relat_1(X3)|~v4_relat_1(X3,X2)|~v1_funct_1(X3)|~v1_partfun1(X3,X2)|~v1_group_7(X3)|~v2_group_7(X3,X2)|~v3_group_7(X3,X2)|~v2_group_1(X4)|~v3_group_1(X4)|~l3_algstr_0(X4)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_59, negated_conjecture, (m1_gr_free0(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),k9_xtuple_0(esk3_0),esk3_0,k4_gr_free0(k9_xtuple_0(esk3_0),esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_29])]), c_0_52])).
cnf(c_0_60, negated_conjecture, (l3_algstr_0(k4_gr_free0(k9_xtuple_0(esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_29])])).
cnf(c_0_61, negated_conjecture, (v3_group_1(k4_gr_free0(k9_xtuple_0(esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_29])])).
cnf(c_0_62, negated_conjecture, (v2_group_1(k4_gr_free0(k9_xtuple_0(esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_29])])).
cnf(c_0_63, plain, (v1_relat_1(X1)|v1_xboole_0(X2)|v2_struct_0(X4)|~m1_gr_free0(X1,X2,X3,X4)|~v1_relat_1(X3)|~v4_relat_1(X3,X2)|~v1_funct_1(X3)|~v1_partfun1(X3,X2)|~v1_group_7(X3)|~v2_group_7(X3,X2)|~v3_group_7(X3,X2)|~v2_group_1(X4)|~v3_group_1(X4)|~l3_algstr_0(X4)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_64, plain, (v1_partfun1(X1,X2)|v1_xboole_0(X2)|v2_struct_0(X4)|~m1_gr_free0(X1,X2,X3,X4)|~v1_relat_1(X3)|~v4_relat_1(X3,X2)|~v1_funct_1(X3)|~v1_partfun1(X3,X2)|~v1_group_7(X3)|~v2_group_7(X3,X2)|~v3_group_7(X3,X2)|~v2_group_1(X4)|~v3_group_1(X4)|~l3_algstr_0(X4)), inference(split_conjunct,[status(thm)],[c_0_44])).
fof(c_0_65, plain, ![X118, X119]:(~m1_subset_1(X118,X119)|(v1_xboole_0(X119)|r2_tarski(X118,X119))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
fof(c_0_66, plain, ![X95, X96, X97]:(((v1_funct_1(k6_gr_free0(X95,X96,X97))|(v1_xboole_0(X95)|~v1_relat_1(X96)|~v4_relat_1(X96,X95)|~v1_funct_1(X96)|~v1_partfun1(X96,X95)|~v1_group_7(X96)|~v2_group_7(X96,X95)|~v3_group_7(X96,X95)|~m1_subset_1(X97,X95)))&(v1_funct_2(k6_gr_free0(X95,X96,X97),u1_struct_0(k2_group_19(X95,X96,X97)),u1_struct_0(k4_gr_free0(X95,X96)))|(v1_xboole_0(X95)|~v1_relat_1(X96)|~v4_relat_1(X96,X95)|~v1_funct_1(X96)|~v1_partfun1(X96,X95)|~v1_group_7(X96)|~v2_group_7(X96,X95)|~v3_group_7(X96,X95)|~m1_subset_1(X97,X95))))&(m1_subset_1(k6_gr_free0(X95,X96,X97),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(X95,X96,X97)),u1_struct_0(k4_gr_free0(X95,X96)))))|(v1_xboole_0(X95)|~v1_relat_1(X96)|~v4_relat_1(X96,X95)|~v1_funct_1(X96)|~v1_partfun1(X96,X95)|~v1_group_7(X96)|~v2_group_7(X96,X95)|~v3_group_7(X96,X95)|~m1_subset_1(X97,X95)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])).
cnf(c_0_67, plain, (k1_funct_1(k8_gr_free0(X1,X2),X3)=k6_gr_free0(X1,X2,X3)|v1_xboole_0(X1)|~v3_group_7(X2,X1)|~v2_group_7(X2,X1)|~v1_group_7(X2)|~v1_partfun1(X2,X1)|~v1_funct_1(X2)|~v4_relat_1(X2,X1)|~v1_relat_1(X2)|~m1_subset_1(X3,X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_57]), c_0_45])).
cnf(c_0_68, negated_conjecture, (m1_subset_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_25])).
fof(c_0_69, plain, ![X120, X121, X122, X123]:(((r2_hidden(k4_tarski(X120,X121),k9_xtuple_0(k2_funct_5(X122)))|(~r2_hidden(X120,k9_xtuple_0(X122))|X123!=k1_funct_1(X122,X120)|~r2_hidden(X121,k9_xtuple_0(X123)))|(~v1_relat_1(X123)|~v1_funct_1(X123))|(~v1_relat_1(X122)|~v1_funct_1(X122)))&(k1_binop_1(k2_funct_5(X122),X120,X121)=k1_funct_1(X123,X121)|(~r2_hidden(X120,k9_xtuple_0(X122))|X123!=k1_funct_1(X122,X120)|~r2_hidden(X121,k9_xtuple_0(X123)))|(~v1_relat_1(X123)|~v1_funct_1(X123))|(~v1_relat_1(X122)|~v1_funct_1(X122))))&(r2_tarski(k1_funct_1(X123,X121),k10_xtuple_0(k2_funct_5(X122)))|(~r2_hidden(X120,k9_xtuple_0(X122))|X123!=k1_funct_1(X122,X120)|~r2_hidden(X121,k9_xtuple_0(X123)))|(~v1_relat_1(X123)|~v1_funct_1(X123))|(~v1_relat_1(X122)|~v1_funct_1(X122)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t38_funct_5])])])])).
cnf(c_0_70, negated_conjecture, (v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))|v4_relat_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),k9_xtuple_0(esk3_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(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_58, c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_29])]), c_0_52])).
cnf(c_0_71, negated_conjecture, (v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))|v1_relat_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_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(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_63, c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_29])]), c_0_52])).
cnf(c_0_72, negated_conjecture, (v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))|v1_partfun1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),k9_xtuple_0(esk3_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(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_64, c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_29])]), c_0_52])).
fof(c_0_73, plain, ![X116, X117]:((~r2_tarski(X116,X117)|r2_hidden(X116,X117))&(~r2_hidden(X116,X117)|r2_tarski(X116,X117))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_74, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_65])).
cnf(c_0_75, plain, (v1_funct_1(k6_gr_free0(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)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_66])).
cnf(c_0_76, plain, (m1_subset_1(k6_gr_free0(X1,X2,X3),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(X1,X2,X3)),u1_struct_0(k4_gr_free0(X1,X2)))))|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)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_66])).
cnf(c_0_77, negated_conjecture, (k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),X1)=k6_gr_free0(k9_xtuple_0(esk3_0),esk3_0,X1)|~m1_subset_1(X1,k9_xtuple_0(esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_29])]), c_0_52])).
cnf(c_0_78, negated_conjecture, (m1_subset_1(esk2_0,k9_xtuple_0(esk3_0))), inference(rw,[status(thm)],[c_0_68, c_0_39])).
fof(c_0_79, 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))&v3_group_7(X3,X1))=>![X4]:(m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))=>k3_funct_2(u1_struct_0(k2_group_19(X1,X3,X2)),u1_struct_0(k4_gr_free0(X1,X3)),k6_gr_free0(X1,X3,X2),X4)=k5_gr_free0(X1,X3,X2,X4))))), inference(fof_simplification,[status(thm)],[t55_gr_free0])).
cnf(c_0_80, plain, (k1_binop_1(k2_funct_5(X1),X2,X3)=k1_funct_1(X4,X3)|~r2_hidden(X2,k9_xtuple_0(X1))|X4!=k1_funct_1(X1,X2)|~r2_hidden(X3,k9_xtuple_0(X4))|~v1_relat_1(X4)|~v1_funct_1(X4)|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_69])).
cnf(c_0_81, negated_conjecture, (k1_relset_1(k9_xtuple_0(esk3_0),k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0))=k9_xtuple_0(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0))|v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_70]), c_0_71])).
cnf(c_0_82, negated_conjecture, (k1_relset_1(k9_xtuple_0(esk3_0),k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0))=k9_xtuple_0(esk3_0)|v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_72]), c_0_71]), c_0_70])).
cnf(c_0_83, plain, (v1_funct_1(X1)|v1_xboole_0(X2)|v2_struct_0(X4)|~m1_gr_free0(X1,X2,X3,X4)|~v1_relat_1(X3)|~v4_relat_1(X3,X2)|~v1_funct_1(X3)|~v1_partfun1(X3,X2)|~v1_group_7(X3)|~v2_group_7(X3,X2)|~v3_group_7(X3,X2)|~v2_group_1(X4)|~v3_group_1(X4)|~l3_algstr_0(X4)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_84, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_73])).
cnf(c_0_85, negated_conjecture, (r2_tarski(esk2_0,esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_68]), c_0_41])).
cnf(c_0_86, negated_conjecture, (v1_funct_1(k6_gr_free0(k9_xtuple_0(esk3_0),esk3_0,X1))|~m1_subset_1(X1,k9_xtuple_0(esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_29])]), c_0_52])).
cnf(c_0_87, plain, (v1_funct_2(k6_gr_free0(X1,X2,X3),u1_struct_0(k2_group_19(X1,X2,X3)),u1_struct_0(k4_gr_free0(X1,X2)))|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)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_66])).
fof(c_0_88, plain, ![X73, X74, X75]:((v4_relat_1(X75,X73)|~m1_subset_1(X75,k1_zfmisc_1(k2_zfmisc_1(X73,X74))))&(v5_relat_1(X75,X74)|~m1_subset_1(X75,k1_zfmisc_1(k2_zfmisc_1(X73,X74))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_relset_1])])])).
cnf(c_0_89, negated_conjecture, (m1_subset_1(k6_gr_free0(k9_xtuple_0(esk3_0),esk3_0,X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,X1)),u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0)))))|~m1_subset_1(X1,k9_xtuple_0(esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_29])]), c_0_52])).
cnf(c_0_90, negated_conjecture, (k6_gr_free0(k9_xtuple_0(esk3_0),esk3_0,esk2_0)=k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0)), inference(spm,[status(thm)],[c_0_77, c_0_78])).
fof(c_0_91, plain, ![X70, X71, X72]:(~m1_subset_1(X72,k1_zfmisc_1(k2_zfmisc_1(X70,X71)))|v1_relat_1(X72)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])).
fof(c_0_92, plain, ![X124, X125, X126, X127]:(v1_xboole_0(X124)|(~m1_subset_1(X125,X124)|(~v1_relat_1(X126)|~v4_relat_1(X126,X124)|~v1_funct_1(X126)|~v1_partfun1(X126,X124)|~v1_group_7(X126)|~v2_group_7(X126,X124)|~v3_group_7(X126,X124)|(~m1_subset_1(X127,u1_struct_0(k2_group_19(X124,X126,X125)))|k3_funct_2(u1_struct_0(k2_group_19(X124,X126,X125)),u1_struct_0(k4_gr_free0(X124,X126)),k6_gr_free0(X124,X126,X125),X127)=k5_gr_free0(X124,X126,X125,X127))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])])).
cnf(c_0_93, plain, (k1_binop_1(k2_funct_5(X1),X2,X3)=k1_funct_1(k1_funct_1(X1,X2),X3)|~r2_hidden(X3,k9_xtuple_0(k1_funct_1(X1,X2)))|~r2_hidden(X2,k9_xtuple_0(X1))|~v1_funct_1(k1_funct_1(X1,X2))|~v1_funct_1(X1)|~v1_relat_1(k1_funct_1(X1,X2))|~v1_relat_1(X1)), inference(er,[status(thm)],[c_0_80])).
cnf(c_0_94, negated_conjecture, (k9_xtuple_0(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0))=k9_xtuple_0(esk3_0)|v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))), inference(spm,[status(thm)],[c_0_81, c_0_82])).
cnf(c_0_95, negated_conjecture, (v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))|v1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_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(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_83, c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_29])]), c_0_52])).
cnf(c_0_96, negated_conjecture, (r2_hidden(esk2_0,esk1_0)), inference(spm,[status(thm)],[c_0_84, c_0_85])).
cnf(c_0_97, negated_conjecture, (v1_funct_1(k6_gr_free0(k9_xtuple_0(esk3_0),esk3_0,esk2_0))), inference(spm,[status(thm)],[c_0_86, c_0_78])).
fof(c_0_98, plain, ![X79, X80, X81]:(((~v1_funct_2(X81,X79,X80)|X79=k1_relset_1(X79,X81)|X80=k1_xboole_0|~m1_subset_1(X81,k1_zfmisc_1(k2_zfmisc_1(X79,X80))))&(X79!=k1_relset_1(X79,X81)|v1_funct_2(X81,X79,X80)|X80=k1_xboole_0|~m1_subset_1(X81,k1_zfmisc_1(k2_zfmisc_1(X79,X80)))))&((~v1_funct_2(X81,X79,X80)|X81=k1_xboole_0|X80!=k1_xboole_0|~m1_subset_1(X81,k1_zfmisc_1(k2_zfmisc_1(X79,X80))))&(X81!=k1_xboole_0|v1_funct_2(X81,X79,X80)|X80!=k1_xboole_0|~m1_subset_1(X81,k1_zfmisc_1(k2_zfmisc_1(X79,X80)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_funct_2])])])).
cnf(c_0_99, negated_conjecture, (v1_funct_2(k6_gr_free0(k9_xtuple_0(esk3_0),esk3_0,X1),u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,X1)),u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0)))|~m1_subset_1(X1,k9_xtuple_0(esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_29])]), c_0_52])).
cnf(c_0_100, plain, (v4_relat_1(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_101, negated_conjecture, (m1_subset_1(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)),u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0)))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_78]), c_0_90])).
cnf(c_0_102, plain, (v1_relat_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_91])).
cnf(c_0_103, plain, (v1_xboole_0(X1)|k3_funct_2(u1_struct_0(k2_group_19(X1,X3,X2)),u1_struct_0(k4_gr_free0(X1,X3)),k6_gr_free0(X1,X3,X2),X4)=k5_gr_free0(X1,X3,X2,X4)|~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)|~v3_group_7(X3,X1)|~m1_subset_1(X4,u1_struct_0(k2_group_19(X1,X3,X2)))), inference(split_conjunct,[status(thm)],[c_0_92])).
fof(c_0_104, plain, ![X1, X2, X3, X4]:(((((~v1_xboole_0(X1)&v1_funct_1(X3))&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&m1_subset_1(X4,X1))=>k3_funct_2(X1,X2,X3,X4)=k1_funct_1(X3,X4)), inference(fof_simplification,[status(thm)],[redefinition_k3_funct_2])).
cnf(c_0_105, negated_conjecture, (k1_binop_1(k2_funct_5(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0)),X1,X2)=k1_funct_1(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),X1),X2)|v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))|~r2_hidden(X2,k9_xtuple_0(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),X1)))|~r2_hidden(X1,k9_xtuple_0(esk3_0))|~v1_funct_1(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),X1))|~v1_relat_1(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),X1))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_71]), c_0_95])).
cnf(c_0_106, negated_conjecture, (r2_hidden(esk2_0,k9_xtuple_0(esk3_0))), inference(rw,[status(thm)],[c_0_96, c_0_39])).
cnf(c_0_107, negated_conjecture, (v1_funct_1(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0))), inference(rw,[status(thm)],[c_0_97, c_0_90])).
cnf(c_0_108, plain, (X2=k1_relset_1(X2,X1)|X3=k1_xboole_0|~v1_funct_2(X1,X2,X3)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_98])).
cnf(c_0_109, negated_conjecture, (v1_funct_2(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0),u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)),u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_78]), c_0_90])).
cnf(c_0_110, negated_conjecture, (v4_relat_1(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0),u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)))), inference(spm,[status(thm)],[c_0_100, c_0_101])).
cnf(c_0_111, negated_conjecture, (v1_relat_1(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0))), inference(spm,[status(thm)],[c_0_102, c_0_101])).
cnf(c_0_112, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_113, negated_conjecture, (k5_gr_free0(k9_xtuple_0(esk3_0),esk3_0,X1,X2)=k3_funct_2(u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,X1)),u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0)),k6_gr_free0(k9_xtuple_0(esk3_0),esk3_0,X1),X2)|~m1_subset_1(X2,u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,X1)))|~m1_subset_1(X1,k9_xtuple_0(esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_29])]), c_0_52])).
fof(c_0_114, plain, ![X108, X109, X110, X111]:(v1_xboole_0(X108)|~v1_funct_1(X110)|~v1_funct_2(X110,X108,X109)|~m1_subset_1(X110,k1_zfmisc_1(k2_zfmisc_1(X108,X109)))|~m1_subset_1(X111,X108)|k3_funct_2(X108,X109,X110,X111)=k1_funct_1(X110,X111)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_104])])).
cnf(c_0_115, negated_conjecture, (k1_binop_1(k2_funct_5(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0)),esk2_0,X1)=k1_funct_1(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0),X1)|v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))|~r2_hidden(X1,k9_xtuple_0(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0)))|~v1_relat_1(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_106]), c_0_107])])).
cnf(c_0_116, negated_conjecture, (k1_relset_1(u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)),k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0))=u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0))|u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))=k1_xboole_0|~m1_subset_1(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)),u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0)))))), inference(spm,[status(thm)],[c_0_108, c_0_109])).
cnf(c_0_117, negated_conjecture, (k1_relset_1(u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)),k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0))=k9_xtuple_0(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_110]), c_0_111])])).
cnf(c_0_118, negated_conjecture, (r2_tarski(esk4_0,u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))|v1_xboole_0(u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))), inference(spm,[status(thm)],[c_0_74, c_0_112])).
cnf(c_0_119, negated_conjecture, (k1_funct_1(k9_gr_free0(esk1_0,esk3_0,k4_gr_free0(esk1_0,esk3_0),k8_gr_free0(esk1_0,esk3_0)),k4_tarski(esk2_0,esk4_0))!=k5_gr_free0(esk1_0,esk3_0,esk2_0,esk4_0)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_120, negated_conjecture, (k5_gr_free0(k9_xtuple_0(esk3_0),esk3_0,esk2_0,X1)=k3_funct_2(u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)),u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0)),k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0),X1)|~m1_subset_1(X1,u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_78]), c_0_90])).
cnf(c_0_121, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)))), inference(rw,[status(thm)],[c_0_112, c_0_39])).
cnf(c_0_122, plain, (v1_xboole_0(X1)|k3_funct_2(X1,X3,X2,X4)=k1_funct_1(X2,X4)|~v1_funct_1(X2)|~v1_funct_2(X2,X1,X3)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X3)))|~m1_subset_1(X4,X1)), inference(split_conjunct,[status(thm)],[c_0_114])).
fof(c_0_123, plain, ![X1, X2, X3, X4]:(((((((((((((~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))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&~v2_struct_0(X3))&v2_group_1(X3))&v3_group_1(X3))&l3_algstr_0(X3))&m1_gr_free0(X4,X1,X2,X3))=>k9_gr_free0(X1,X2,X3,X4)=k2_funct_5(X4)), inference(fof_simplification,[status(thm)],[redefinition_k9_gr_free0])).
cnf(c_0_124, negated_conjecture, (k1_binop_1(k2_funct_5(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0)),esk2_0,X1)=k1_funct_1(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0),X1)|v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))|~r2_hidden(X1,k9_xtuple_0(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115, c_0_111])])).
cnf(c_0_125, negated_conjecture, (k9_xtuple_0(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0))=u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0))|u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))=k1_xboole_0), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116, c_0_101])]), c_0_117])).
cnf(c_0_126, negated_conjecture, (r2_hidden(esk4_0,u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))|v1_xboole_0(u1_struct_0(k2_group_19(esk1_0,esk3_0,esk2_0)))), inference(spm,[status(thm)],[c_0_84, c_0_118])).
cnf(c_0_127, negated_conjecture, (k5_gr_free0(k9_xtuple_0(esk3_0),esk3_0,esk2_0,esk4_0)!=k1_funct_1(k9_gr_free0(k9_xtuple_0(esk3_0),esk3_0,k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0),k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0)),k4_tarski(esk2_0,esk4_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_119, c_0_39]), c_0_39]), c_0_39]), c_0_39])).
cnf(c_0_128, negated_conjecture, (k5_gr_free0(k9_xtuple_0(esk3_0),esk3_0,esk2_0,esk4_0)=k3_funct_2(u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)),u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0)),k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0),esk4_0)), inference(spm,[status(thm)],[c_0_120, c_0_121])).
cnf(c_0_129, negated_conjecture, (k3_funct_2(u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)),u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0)),k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0),X1)=k1_funct_1(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0),X1)|v1_xboole_0(u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)))|~m1_subset_1(X1,u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122, c_0_109]), c_0_107])]), c_0_101])])).
fof(c_0_130, plain, ![X112, X113, X114, X115]:(v1_xboole_0(X112)|~v1_relat_1(X113)|~v4_relat_1(X113,X112)|~v1_funct_1(X113)|~v1_partfun1(X113,X112)|~v1_group_7(X113)|~v2_group_7(X113,X112)|~v3_group_7(X113,X112)|v2_struct_0(X114)|~v2_group_1(X114)|~v3_group_1(X114)|~l3_algstr_0(X114)|~m1_gr_free0(X115,X112,X113,X114)|k9_gr_free0(X112,X113,X114,X115)=k2_funct_5(X115)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_123])])).
fof(c_0_131, plain, ![X76, X77, X78]:(~v1_relat_1(X76)|~v1_funct_1(X76)|k1_binop_1(X76,X77,X78)=k1_funct_1(X76,k4_tarski(X77,X78))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_binop_1])])])).
cnf(c_0_132, negated_conjecture, (k1_binop_1(k2_funct_5(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0)),esk2_0,X1)=k1_funct_1(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0),X1)|u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))=k1_xboole_0|v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))|~r2_hidden(X1,u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)))), inference(spm,[status(thm)],[c_0_124, c_0_125])).
cnf(c_0_133, negated_conjecture, (r2_hidden(esk4_0,u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)))|v1_xboole_0(u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126, c_0_39]), c_0_39])).
cnf(c_0_134, negated_conjecture, (k3_funct_2(u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)),u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0)),k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0),esk4_0)!=k1_funct_1(k9_gr_free0(k9_xtuple_0(esk3_0),esk3_0,k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0),k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0)),k4_tarski(esk2_0,esk4_0))), inference(rw,[status(thm)],[c_0_127, c_0_128])).
cnf(c_0_135, negated_conjecture, (k3_funct_2(u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)),u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0)),k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0),esk4_0)=k1_funct_1(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0),esk4_0)|v1_xboole_0(u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)))), inference(spm,[status(thm)],[c_0_129, c_0_121])).
cnf(c_0_136, plain, (v1_xboole_0(X1)|v2_struct_0(X3)|k9_gr_free0(X1,X2,X3,X4)=k2_funct_5(X4)|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~v2_group_1(X3)|~v3_group_1(X3)|~l3_algstr_0(X3)|~m1_gr_free0(X4,X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_130])).
cnf(c_0_137, plain, (k1_binop_1(X1,X2,X3)=k1_funct_1(X1,k4_tarski(X2,X3))|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_131])).
cnf(c_0_138, negated_conjecture, (k1_binop_1(k2_funct_5(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0)),esk2_0,esk4_0)=k1_funct_1(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0),esk4_0)|u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))=k1_xboole_0|v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))|v1_xboole_0(u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)))), inference(spm,[status(thm)],[c_0_132, c_0_133])).
fof(c_0_139, plain, ![X89]:((v1_relat_1(k2_funct_5(X89))|(~v1_relat_1(X89)|~v1_funct_1(X89)))&(v1_funct_1(k2_funct_5(X89))|(~v1_relat_1(X89)|~v1_funct_1(X89)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_funct_5])])])).
cnf(c_0_140, negated_conjecture, (v1_xboole_0(u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)))|k1_funct_1(k9_gr_free0(k9_xtuple_0(esk3_0),esk3_0,k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0),k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0)),k4_tarski(esk2_0,esk4_0))!=k1_funct_1(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0),esk4_0)), inference(spm,[status(thm)],[c_0_134, c_0_135])).
cnf(c_0_141, negated_conjecture, (k9_gr_free0(k9_xtuple_0(esk3_0),esk3_0,k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0),k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0))=k2_funct_5(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0))|v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_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(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_136, c_0_59]), c_0_60]), c_0_61]), c_0_62]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_29])]), c_0_52])).
fof(c_0_142, 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))&v2_group_7(X2,X1))&v3_group_7(X2,X1))&m1_subset_1(X3,X1))=>(((~v2_struct_0(k2_group_19(X1,X2,X3))&v2_group_1(k2_group_19(X1,X2,X3)))&v3_group_1(k2_group_19(X1,X2,X3)))&l3_algstr_0(k2_group_19(X1,X2,X3)))), inference(fof_simplification,[status(thm)],[dt_k2_group_19])).
fof(c_0_143, plain, ![X1]:((~v2_struct_0(X1)&l1_struct_0(X1))=>~v1_xboole_0(u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[fc2_struct_0])).
cnf(c_0_144, negated_conjecture, (k1_funct_1(k2_funct_5(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0)),k4_tarski(esk2_0,esk4_0))=k1_funct_1(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0),esk4_0)|u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))=k1_xboole_0|v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))|v1_xboole_0(u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)))|~v1_funct_1(k2_funct_5(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0)))|~v1_relat_1(k2_funct_5(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0)))), inference(spm,[status(thm)],[c_0_137, c_0_138])).
cnf(c_0_145, plain, (v1_funct_1(k2_funct_5(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_139])).
cnf(c_0_146, negated_conjecture, (v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))|v1_xboole_0(u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)))|k1_funct_1(k2_funct_5(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0)),k4_tarski(esk2_0,esk4_0))!=k1_funct_1(k1_funct_1(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0),esk2_0),esk4_0)), inference(spm,[status(thm)],[c_0_140, c_0_141])).
fof(c_0_147, plain, ![X90, X91, X92]:((((~v2_struct_0(k2_group_19(X90,X91,X92))|(v1_xboole_0(X90)|~v1_relat_1(X91)|~v4_relat_1(X91,X90)|~v1_funct_1(X91)|~v1_partfun1(X91,X90)|~v1_group_7(X91)|~v2_group_7(X91,X90)|~v3_group_7(X91,X90)|~m1_subset_1(X92,X90)))&(v2_group_1(k2_group_19(X90,X91,X92))|(v1_xboole_0(X90)|~v1_relat_1(X91)|~v4_relat_1(X91,X90)|~v1_funct_1(X91)|~v1_partfun1(X91,X90)|~v1_group_7(X91)|~v2_group_7(X91,X90)|~v3_group_7(X91,X90)|~m1_subset_1(X92,X90))))&(v3_group_1(k2_group_19(X90,X91,X92))|(v1_xboole_0(X90)|~v1_relat_1(X91)|~v4_relat_1(X91,X90)|~v1_funct_1(X91)|~v1_partfun1(X91,X90)|~v1_group_7(X91)|~v2_group_7(X91,X90)|~v3_group_7(X91,X90)|~m1_subset_1(X92,X90))))&(l3_algstr_0(k2_group_19(X90,X91,X92))|(v1_xboole_0(X90)|~v1_relat_1(X91)|~v4_relat_1(X91,X90)|~v1_funct_1(X91)|~v1_partfun1(X91,X90)|~v1_group_7(X91)|~v2_group_7(X91,X90)|~v3_group_7(X91,X90)|~m1_subset_1(X92,X90)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_142])])])).
fof(c_0_148, plain, ![X105]:(v2_struct_0(X105)|~l1_struct_0(X105)|~v1_xboole_0(u1_struct_0(X105))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_143])])).
cnf(c_0_149, negated_conjecture, (u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))=k1_xboole_0|v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))|v1_xboole_0(u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)))|~v1_relat_1(k2_funct_5(k8_gr_free0(k9_xtuple_0(esk3_0),esk3_0)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144, c_0_145]), c_0_71]), c_0_95]), c_0_146])).
cnf(c_0_150, plain, (v1_relat_1(k2_funct_5(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)), inference(split_conjunct,[status(thm)],[c_0_139])).
cnf(c_0_151, plain, (l3_algstr_0(k2_group_19(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)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_147])).
cnf(c_0_152, plain, (v2_struct_0(X1)|~l1_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_148])).
cnf(c_0_153, negated_conjecture, (u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))=k1_xboole_0|v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))|v1_xboole_0(u1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149, c_0_150]), c_0_71]), c_0_95])).
fof(c_0_154, plain, ![X100]:(~l3_algstr_0(X100)|l1_struct_0(X100)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_algstr_0])])).
cnf(c_0_155, negated_conjecture, (l3_algstr_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,X1))|~m1_subset_1(X1,k9_xtuple_0(esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151, c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_29])]), c_0_52])).
cnf(c_0_156, negated_conjecture, (u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))=k1_xboole_0|v2_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0))|v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))|~l1_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0))), inference(spm,[status(thm)],[c_0_152, c_0_153])).
cnf(c_0_157, plain, (l1_struct_0(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_154])).
cnf(c_0_158, negated_conjecture, (l3_algstr_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0))), inference(spm,[status(thm)],[c_0_155, c_0_78])).
cnf(c_0_159, plain, (v1_xboole_0(X1)|~v2_struct_0(k2_group_19(X1,X2,X3))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)|~m1_subset_1(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_147])).
cnf(c_0_160, negated_conjecture, (u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))=k1_xboole_0|v2_struct_0(k2_group_19(k9_xtuple_0(esk3_0),esk3_0,esk2_0))|v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156, c_0_157]), c_0_158])])).
cnf(c_0_161, plain, (~v2_struct_0(k4_gr_free0(X1,X2))|~v1_relat_1(X2)|~v4_relat_1(X2,X1)|~v1_funct_1(X2)|~v1_partfun1(X2,X1)|~v1_group_7(X2)|~v2_group_7(X2,X1)|~v3_group_7(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_162, negated_conjecture, (u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))=k1_xboole_0|v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159, c_0_160]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_29]), c_0_78])]), c_0_52])).
cnf(c_0_163, negated_conjecture, (u1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))=k1_xboole_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161, c_0_162]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_29])])).
cnf(c_0_164, plain, (v1_xboole_0(k1_xboole_0)), inference(split_conjunct,[status(thm)],[fc1_xboole_0])).
cnf(c_0_165, negated_conjecture, (v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))|~l1_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152, c_0_163]), c_0_164])])).
cnf(c_0_166, negated_conjecture, (v2_struct_0(k4_gr_free0(k9_xtuple_0(esk3_0),esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165, c_0_157]), c_0_60])])).
cnf(c_0_167, negated_conjecture, ($false), 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161, c_0_166]), c_0_46]), c_0_47]), c_0_48]), c_0_49]), c_0_50]), c_0_51]), c_0_29])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 168
# Proof object clause steps            : 112
# Proof object formula steps           : 56
# Proof object conjectures             : 81
# Proof object clause conjectures      : 78
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 43
# Proof object initial formulas used   : 23
# Proof object generating inferences   : 53
# Proof object simplifying inferences  : 221
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 23
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 57
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 57
# Processed clauses                    : 230
# ...of these trivial                  : 3
# ...subsumed                          : 9
# ...remaining for further processing  : 218
# Other redundant clauses eliminated   : 7
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 12
# Backward-rewritten                   : 54
# Generated clauses                    : 111
# ...of the previous two non-trivial   : 136
# Contextual simplify-reflections      : 15
# Paramodulations                      : 105
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 7
# 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  : 89
#    Positive orientable unit clauses  : 29
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 59
# Current number of unprocessed clauses: 20
# ...number of literals in the above   : 72
# Current number of archived formulas  : 0
# Current number of archived clauses   : 123
# Clause-clause subsumption calls (NU) : 7172
# Rec. Clause-clause subsumption calls : 558
# Non-unit clause-clause subsumptions  : 36
# Unit Clause-clause subsumption calls : 136
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 15
# BW rewrite match successes           : 8
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 13455

# -------------------------------------------------
# User time                : 0.031 s
# System time              : 0.004 s
# Total time               : 0.035 s
# Maximum resident set size: 3476 pages
