# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
# and selection function PSelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.019 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(dt_k8_ring_3, axiom, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>(v36_algstr_0(k8_ring_3(X1))&m1_ec_pf_1(k8_ring_3(X1),X1))), file('field_16/field_16__t51_field_16', dt_k8_ring_3)).
fof(t51_field_16, conjecture, ![X1]:(((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v8_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>(((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&v1_field_4(X1,k8_ring_3(X1)))&v2_field_4(X1,k8_ring_3(X1)))&l6_algstr_0(X1))), file('field_16/field_16__t51_field_16', t51_field_16)).
fof(dt_m1_ec_pf_1, axiom, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&l6_algstr_0(X1))=>![X2]:(m1_ec_pf_1(X2,X1)=>(((((((((((~(v2_struct_0(X2))&~(v6_struct_0(X2)))&v13_algstr_0(X2))&v33_algstr_0(X2))&v3_group_1(X2))&v5_group_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&l6_algstr_0(X2)))), file('field_16/field_16__t51_field_16', dt_m1_ec_pf_1)).
fof(t7_field_4, axiom, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((((~(v2_struct_0(X2))&~(v6_struct_0(X2)))&v13_algstr_0(X2))&v33_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v5_group_1(X2))&l6_algstr_0(X2))=>(((((((((((((~(v2_struct_0(X2))&~(v6_struct_0(X2)))&v13_algstr_0(X2))&v33_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v5_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))<=>m1_ec_pf_1(X1,X2)))), file('field_16/field_16__t51_field_16', t7_field_4)).
fof(d6_field_4, axiom, ![X1]:(((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>![X3]:((v7_vectsp_1(X3,X1)&l1_vectsp_1(X3,X1))=>(X3=k2_field_4(X1,X2)<=>(((u1_struct_0(X3)=u1_struct_0(X2)&u1_algstr_0(X3)=u1_algstr_0(X2))&u2_struct_0(X3)=k4_struct_0(X2))&u1_vectsp_1(X1,X3)=k5_relset_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2),u2_algstr_0(X2),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2)))))))), file('field_16/field_16__t51_field_16', d6_field_4)).
fof(dt_k2_field_4, axiom, ![X1, X2]:(((((((((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&~(v2_struct_0(X2)))&v13_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>(v7_vectsp_1(k2_field_4(X1,X2),X1)&l1_vectsp_1(k2_field_4(X1,X2),X1))), file('field_16/field_16__t51_field_16', dt_k2_field_4)).
fof(t4_ranknull, axiom, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&l1_vectsp_1(X2,X1))=>(v1_finset_1(k2_struct_0(X2))=>v1_matrlin(X2,X1)))), file('field_16/field_16__t51_field_16', t4_ranknull)).
fof(fc6_field_4, axiom, ![X1, X2]:(((((((((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&~(v2_struct_0(X2)))&v13_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>((((v13_algstr_0(k2_field_4(X1,X2))&v7_vectsp_1(k2_field_4(X1,X2),X1))&v2_rlvect_1(k2_field_4(X1,X2)))&v3_rlvect_1(k2_field_4(X1,X2)))&v4_rlvect_1(k2_field_4(X1,X2)))), file('field_16/field_16__t51_field_16', fc6_field_4)).
fof(d3_struct_0, axiom, ![X1]:(l1_struct_0(X1)=>k2_struct_0(X1)=u1_struct_0(X1)), file('field_16/field_16__t51_field_16', d3_struct_0)).
fof(dt_l2_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>l1_struct_0(X1)), file('field_16/field_16__t51_field_16', dt_l2_struct_0)).
fof(dt_l2_algstr_0, axiom, ![X1]:(l2_algstr_0(X1)=>(l2_struct_0(X1)&l1_algstr_0(X1))), file('field_16/field_16__t51_field_16', dt_l2_algstr_0)).
fof(fc8_struct_0, axiom, ![X1]:((v8_struct_0(X1)&l1_struct_0(X1))=>v1_finset_1(u1_struct_0(X1))), file('field_16/field_16__t51_field_16', fc8_struct_0)).
fof(dt_l6_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(l2_algstr_0(X1)&l5_algstr_0(X1))), file('field_16/field_16__t51_field_16', dt_l6_algstr_0)).
fof(dt_l1_vectsp_1, axiom, ![X1]:(l1_struct_0(X1)=>![X2]:(l1_vectsp_1(X2,X1)=>l2_algstr_0(X2))), file('field_16/field_16__t51_field_16', dt_l1_vectsp_1)).
fof(fc7_field_4, axiom, ![X1, X2]:(((((((((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&~(v2_struct_0(X2)))&v13_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>((((v7_vectsp_1(k2_field_4(X1,X2),X1)&v8_vectsp_1(k2_field_4(X1,X2),X1))&v9_vectsp_1(k2_field_4(X1,X2),X1))&v10_vectsp_1(k2_field_4(X1,X2),X1))&v11_vectsp_1(k2_field_4(X1,X2),X1))), file('field_16/field_16__t51_field_16', fc7_field_4)).
fof(d8_field_4, axiom, ![X1]:((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v33_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:(((((((((((((~(v2_struct_0(X2))&~(v6_struct_0(X2)))&v13_algstr_0(X2))&v33_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v5_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>(v2_field_4(X2,X1)<=>v1_matrlin(k2_field_4(X1,X2),X1)))), file('field_16/field_16__t51_field_16', d8_field_4)).
fof(fc5_field_4, axiom, ![X1, X2]:(((((((((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&~(v2_struct_0(X2)))&v13_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>(~(v2_struct_0(k2_field_4(X1,X2)))&v7_vectsp_1(k2_field_4(X1,X2),X1))), file('field_16/field_16__t51_field_16', fc5_field_4)).
fof(c_0_17, plain, ![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>(v36_algstr_0(k8_ring_3(X1))&m1_ec_pf_1(k8_ring_3(X1),X1))), inference(fof_simplification,[status(thm)],[dt_k8_ring_3])).
fof(c_0_18, negated_conjecture, ~(![X1]:(((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v8_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>(((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&v1_field_4(X1,k8_ring_3(X1)))&v2_field_4(X1,k8_ring_3(X1)))&l6_algstr_0(X1)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t51_field_16])])).
fof(c_0_19, plain, ![X1]:(epred1_1(X1)<=>![X2]:((((((((((((~v2_struct_0(X2)&~v6_struct_0(X2))&v13_algstr_0(X2))&v33_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v5_group_1(X2))&l6_algstr_0(X2))=>(((((((((((((~v2_struct_0(X2)&~v6_struct_0(X2))&v13_algstr_0(X2))&v33_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v5_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))<=>m1_ec_pf_1(X1,X2)))), introduced(definition)).
fof(c_0_20, plain, ![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v3_group_1(X1))&v5_group_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&l6_algstr_0(X1))=>![X2]:(m1_ec_pf_1(X2,X1)=>(((((((((((~v2_struct_0(X2)&~v6_struct_0(X2))&v13_algstr_0(X2))&v33_algstr_0(X2))&v3_group_1(X2))&v5_group_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&l6_algstr_0(X2)))), inference(fof_simplification,[status(thm)],[dt_m1_ec_pf_1])).
fof(c_0_21, plain, ![X41]:((v36_algstr_0(k8_ring_3(X41))|(v2_struct_0(X41)|v6_struct_0(X41)|~v13_algstr_0(X41)|~v33_algstr_0(X41)|~v3_group_1(X41)|~v5_group_1(X41)|~v2_rlvect_1(X41)|~v3_rlvect_1(X41)|~v4_rlvect_1(X41)|~v4_vectsp_1(X41)|~v5_vectsp_1(X41)|~l6_algstr_0(X41)))&(m1_ec_pf_1(k8_ring_3(X41),X41)|(v2_struct_0(X41)|v6_struct_0(X41)|~v13_algstr_0(X41)|~v33_algstr_0(X41)|~v3_group_1(X41)|~v5_group_1(X41)|~v2_rlvect_1(X41)|~v3_rlvect_1(X41)|~v4_rlvect_1(X41)|~v4_vectsp_1(X41)|~v5_vectsp_1(X41)|~l6_algstr_0(X41)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])).
fof(c_0_22, negated_conjecture, (((((((((((((~v2_struct_0(esk1_0)&~v6_struct_0(esk1_0))&v8_struct_0(esk1_0))&v13_algstr_0(esk1_0))&v33_algstr_0(esk1_0))&v2_rlvect_1(esk1_0))&v3_rlvect_1(esk1_0))&v4_rlvect_1(esk1_0))&v4_vectsp_1(esk1_0))&v5_vectsp_1(esk1_0))&v3_group_1(esk1_0))&v5_group_1(esk1_0))&l6_algstr_0(esk1_0))&(v2_struct_0(esk1_0)|v6_struct_0(esk1_0)|~v13_algstr_0(esk1_0)|~v33_algstr_0(esk1_0)|~v2_rlvect_1(esk1_0)|~v3_rlvect_1(esk1_0)|~v4_rlvect_1(esk1_0)|~v4_vectsp_1(esk1_0)|~v5_vectsp_1(esk1_0)|~v3_group_1(esk1_0)|~v5_group_1(esk1_0)|~v1_field_4(esk1_0,k8_ring_3(esk1_0))|~v2_field_4(esk1_0,k8_ring_3(esk1_0))|~l6_algstr_0(esk1_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])).
fof(c_0_23, plain, ![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>epred1_1(X1)), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[t7_field_4]), c_0_19])).
fof(c_0_24, plain, ![X47, X48]:((((((((((((~v2_struct_0(X48)|~m1_ec_pf_1(X48,X47)|(v2_struct_0(X47)|v6_struct_0(X47)|~v13_algstr_0(X47)|~v33_algstr_0(X47)|~v3_group_1(X47)|~v5_group_1(X47)|~v4_vectsp_1(X47)|~v5_vectsp_1(X47)|~v2_rlvect_1(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~l6_algstr_0(X47)))&(~v6_struct_0(X48)|~m1_ec_pf_1(X48,X47)|(v2_struct_0(X47)|v6_struct_0(X47)|~v13_algstr_0(X47)|~v33_algstr_0(X47)|~v3_group_1(X47)|~v5_group_1(X47)|~v4_vectsp_1(X47)|~v5_vectsp_1(X47)|~v2_rlvect_1(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~l6_algstr_0(X47))))&(v13_algstr_0(X48)|~m1_ec_pf_1(X48,X47)|(v2_struct_0(X47)|v6_struct_0(X47)|~v13_algstr_0(X47)|~v33_algstr_0(X47)|~v3_group_1(X47)|~v5_group_1(X47)|~v4_vectsp_1(X47)|~v5_vectsp_1(X47)|~v2_rlvect_1(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~l6_algstr_0(X47))))&(v33_algstr_0(X48)|~m1_ec_pf_1(X48,X47)|(v2_struct_0(X47)|v6_struct_0(X47)|~v13_algstr_0(X47)|~v33_algstr_0(X47)|~v3_group_1(X47)|~v5_group_1(X47)|~v4_vectsp_1(X47)|~v5_vectsp_1(X47)|~v2_rlvect_1(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~l6_algstr_0(X47))))&(v3_group_1(X48)|~m1_ec_pf_1(X48,X47)|(v2_struct_0(X47)|v6_struct_0(X47)|~v13_algstr_0(X47)|~v33_algstr_0(X47)|~v3_group_1(X47)|~v5_group_1(X47)|~v4_vectsp_1(X47)|~v5_vectsp_1(X47)|~v2_rlvect_1(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~l6_algstr_0(X47))))&(v5_group_1(X48)|~m1_ec_pf_1(X48,X47)|(v2_struct_0(X47)|v6_struct_0(X47)|~v13_algstr_0(X47)|~v33_algstr_0(X47)|~v3_group_1(X47)|~v5_group_1(X47)|~v4_vectsp_1(X47)|~v5_vectsp_1(X47)|~v2_rlvect_1(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~l6_algstr_0(X47))))&(v4_vectsp_1(X48)|~m1_ec_pf_1(X48,X47)|(v2_struct_0(X47)|v6_struct_0(X47)|~v13_algstr_0(X47)|~v33_algstr_0(X47)|~v3_group_1(X47)|~v5_group_1(X47)|~v4_vectsp_1(X47)|~v5_vectsp_1(X47)|~v2_rlvect_1(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~l6_algstr_0(X47))))&(v5_vectsp_1(X48)|~m1_ec_pf_1(X48,X47)|(v2_struct_0(X47)|v6_struct_0(X47)|~v13_algstr_0(X47)|~v33_algstr_0(X47)|~v3_group_1(X47)|~v5_group_1(X47)|~v4_vectsp_1(X47)|~v5_vectsp_1(X47)|~v2_rlvect_1(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~l6_algstr_0(X47))))&(v2_rlvect_1(X48)|~m1_ec_pf_1(X48,X47)|(v2_struct_0(X47)|v6_struct_0(X47)|~v13_algstr_0(X47)|~v33_algstr_0(X47)|~v3_group_1(X47)|~v5_group_1(X47)|~v4_vectsp_1(X47)|~v5_vectsp_1(X47)|~v2_rlvect_1(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~l6_algstr_0(X47))))&(v3_rlvect_1(X48)|~m1_ec_pf_1(X48,X47)|(v2_struct_0(X47)|v6_struct_0(X47)|~v13_algstr_0(X47)|~v33_algstr_0(X47)|~v3_group_1(X47)|~v5_group_1(X47)|~v4_vectsp_1(X47)|~v5_vectsp_1(X47)|~v2_rlvect_1(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~l6_algstr_0(X47))))&(v4_rlvect_1(X48)|~m1_ec_pf_1(X48,X47)|(v2_struct_0(X47)|v6_struct_0(X47)|~v13_algstr_0(X47)|~v33_algstr_0(X47)|~v3_group_1(X47)|~v5_group_1(X47)|~v4_vectsp_1(X47)|~v5_vectsp_1(X47)|~v2_rlvect_1(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~l6_algstr_0(X47))))&(l6_algstr_0(X48)|~m1_ec_pf_1(X48,X47)|(v2_struct_0(X47)|v6_struct_0(X47)|~v13_algstr_0(X47)|~v33_algstr_0(X47)|~v3_group_1(X47)|~v5_group_1(X47)|~v4_vectsp_1(X47)|~v5_vectsp_1(X47)|~v2_rlvect_1(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~l6_algstr_0(X47)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])).
cnf(c_0_25, plain, (m1_ec_pf_1(k8_ring_3(X1),X1)|v2_struct_0(X1)|v6_struct_0(X1)|~v13_algstr_0(X1)|~v33_algstr_0(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_26, negated_conjecture, (l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_27, negated_conjecture, (v5_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_28, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_29, negated_conjecture, (v5_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_30, negated_conjecture, (v4_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_31, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_32, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_33, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_34, negated_conjecture, (v33_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_35, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_36, negated_conjecture, (~v6_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_37, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
fof(c_0_38, plain, ![X1]:(((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>![X3]:((v7_vectsp_1(X3,X1)&l1_vectsp_1(X3,X1))=>(X3=k2_field_4(X1,X2)<=>(((u1_struct_0(X3)=u1_struct_0(X2)&u1_algstr_0(X3)=u1_algstr_0(X2))&u2_struct_0(X3)=k4_struct_0(X2))&u1_vectsp_1(X1,X3)=k5_relset_1(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2),u2_algstr_0(X2),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X2)))))))), inference(fof_simplification,[status(thm)],[d6_field_4])).
fof(c_0_39, plain, ![X1, X2]:(((((((((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&~v2_struct_0(X2))&v13_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>(v7_vectsp_1(k2_field_4(X1,X2),X1)&l1_vectsp_1(k2_field_4(X1,X2),X1))), inference(fof_simplification,[status(thm)],[dt_k2_field_4])).
fof(c_0_40, plain, ![X1]:(epred1_1(X1)=>![X2]:((((((((((((~v2_struct_0(X2)&~v6_struct_0(X2))&v13_algstr_0(X2))&v33_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v5_group_1(X2))&l6_algstr_0(X2))=>(((((((((((((~v2_struct_0(X2)&~v6_struct_0(X2))&v13_algstr_0(X2))&v33_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v5_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))<=>m1_ec_pf_1(X1,X2)))), inference(split_equiv,[status(thm)],[c_0_19])).
fof(c_0_41, plain, ![X58]:(v2_struct_0(X58)|v6_struct_0(X58)|~v13_algstr_0(X58)|~v33_algstr_0(X58)|~v4_vectsp_1(X58)|~v5_vectsp_1(X58)|~v2_rlvect_1(X58)|~v3_rlvect_1(X58)|~v4_rlvect_1(X58)|~v3_group_1(X58)|~v5_group_1(X58)|~l6_algstr_0(X58)|epred1_1(X58)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])).
cnf(c_0_42, plain, (l6_algstr_0(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_43, negated_conjecture, (m1_ec_pf_1(k8_ring_3(esk1_0),esk1_0)), inference(sr,[status(thm)],[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(spm,[status(thm)],[c_0_25, c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35])]), c_0_36]), c_0_37])).
cnf(c_0_44, plain, (v5_group_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_45, plain, (v3_group_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_46, plain, (v5_vectsp_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_47, plain, (v4_vectsp_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_48, plain, (v4_rlvect_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_49, plain, (v3_rlvect_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_50, plain, (v2_rlvect_1(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_51, plain, (v33_algstr_0(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_52, plain, (v13_algstr_0(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_53, plain, (v2_struct_0(X2)|v6_struct_0(X2)|~v6_struct_0(X1)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
cnf(c_0_54, plain, (v2_struct_0(X2)|v6_struct_0(X2)|~v2_struct_0(X1)|~m1_ec_pf_1(X1,X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_24])).
fof(c_0_55, plain, ![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v8_vectsp_1(X2,X1))&v9_vectsp_1(X2,X1))&v10_vectsp_1(X2,X1))&v11_vectsp_1(X2,X1))&l1_vectsp_1(X2,X1))=>(v1_finset_1(k2_struct_0(X2))=>v1_matrlin(X2,X1)))), inference(fof_simplification,[status(thm)],[t4_ranknull])).
fof(c_0_56, plain, ![X34, X35, X36]:(((((u1_struct_0(X36)=u1_struct_0(X35)|X36!=k2_field_4(X34,X35)|(~v7_vectsp_1(X36,X34)|~l1_vectsp_1(X36,X34))|(v2_struct_0(X35)|~v13_algstr_0(X35)|~v4_vectsp_1(X35)|~v5_vectsp_1(X35)|~v2_rlvect_1(X35)|~v3_rlvect_1(X35)|~v4_rlvect_1(X35)|~v3_group_1(X35)|~v1_field_4(X35,X34)|~l6_algstr_0(X35))|(v2_struct_0(X34)|~v13_algstr_0(X34)|~v4_vectsp_1(X34)|~v5_vectsp_1(X34)|~v2_rlvect_1(X34)|~v3_rlvect_1(X34)|~v4_rlvect_1(X34)|~v3_group_1(X34)|~l6_algstr_0(X34)))&(u1_algstr_0(X36)=u1_algstr_0(X35)|X36!=k2_field_4(X34,X35)|(~v7_vectsp_1(X36,X34)|~l1_vectsp_1(X36,X34))|(v2_struct_0(X35)|~v13_algstr_0(X35)|~v4_vectsp_1(X35)|~v5_vectsp_1(X35)|~v2_rlvect_1(X35)|~v3_rlvect_1(X35)|~v4_rlvect_1(X35)|~v3_group_1(X35)|~v1_field_4(X35,X34)|~l6_algstr_0(X35))|(v2_struct_0(X34)|~v13_algstr_0(X34)|~v4_vectsp_1(X34)|~v5_vectsp_1(X34)|~v2_rlvect_1(X34)|~v3_rlvect_1(X34)|~v4_rlvect_1(X34)|~v3_group_1(X34)|~l6_algstr_0(X34))))&(u2_struct_0(X36)=k4_struct_0(X35)|X36!=k2_field_4(X34,X35)|(~v7_vectsp_1(X36,X34)|~l1_vectsp_1(X36,X34))|(v2_struct_0(X35)|~v13_algstr_0(X35)|~v4_vectsp_1(X35)|~v5_vectsp_1(X35)|~v2_rlvect_1(X35)|~v3_rlvect_1(X35)|~v4_rlvect_1(X35)|~v3_group_1(X35)|~v1_field_4(X35,X34)|~l6_algstr_0(X35))|(v2_struct_0(X34)|~v13_algstr_0(X34)|~v4_vectsp_1(X34)|~v5_vectsp_1(X34)|~v2_rlvect_1(X34)|~v3_rlvect_1(X34)|~v4_rlvect_1(X34)|~v3_group_1(X34)|~l6_algstr_0(X34))))&(u1_vectsp_1(X34,X36)=k5_relset_1(k2_zfmisc_1(u1_struct_0(X35),u1_struct_0(X35)),u1_struct_0(X35),u2_algstr_0(X35),k2_zfmisc_1(u1_struct_0(X34),u1_struct_0(X35)))|X36!=k2_field_4(X34,X35)|(~v7_vectsp_1(X36,X34)|~l1_vectsp_1(X36,X34))|(v2_struct_0(X35)|~v13_algstr_0(X35)|~v4_vectsp_1(X35)|~v5_vectsp_1(X35)|~v2_rlvect_1(X35)|~v3_rlvect_1(X35)|~v4_rlvect_1(X35)|~v3_group_1(X35)|~v1_field_4(X35,X34)|~l6_algstr_0(X35))|(v2_struct_0(X34)|~v13_algstr_0(X34)|~v4_vectsp_1(X34)|~v5_vectsp_1(X34)|~v2_rlvect_1(X34)|~v3_rlvect_1(X34)|~v4_rlvect_1(X34)|~v3_group_1(X34)|~l6_algstr_0(X34))))&(u1_struct_0(X36)!=u1_struct_0(X35)|u1_algstr_0(X36)!=u1_algstr_0(X35)|u2_struct_0(X36)!=k4_struct_0(X35)|u1_vectsp_1(X34,X36)!=k5_relset_1(k2_zfmisc_1(u1_struct_0(X35),u1_struct_0(X35)),u1_struct_0(X35),u2_algstr_0(X35),k2_zfmisc_1(u1_struct_0(X34),u1_struct_0(X35)))|X36=k2_field_4(X34,X35)|(~v7_vectsp_1(X36,X34)|~l1_vectsp_1(X36,X34))|(v2_struct_0(X35)|~v13_algstr_0(X35)|~v4_vectsp_1(X35)|~v5_vectsp_1(X35)|~v2_rlvect_1(X35)|~v3_rlvect_1(X35)|~v4_rlvect_1(X35)|~v3_group_1(X35)|~v1_field_4(X35,X34)|~l6_algstr_0(X35))|(v2_struct_0(X34)|~v13_algstr_0(X34)|~v4_vectsp_1(X34)|~v5_vectsp_1(X34)|~v2_rlvect_1(X34)|~v3_rlvect_1(X34)|~v4_rlvect_1(X34)|~v3_group_1(X34)|~l6_algstr_0(X34)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])])).
fof(c_0_57, plain, ![X39, X40]:((v7_vectsp_1(k2_field_4(X39,X40),X39)|(v2_struct_0(X39)|~v13_algstr_0(X39)|~v4_vectsp_1(X39)|~v5_vectsp_1(X39)|~v2_rlvect_1(X39)|~v3_rlvect_1(X39)|~v4_rlvect_1(X39)|~v3_group_1(X39)|~l6_algstr_0(X39)|v2_struct_0(X40)|~v13_algstr_0(X40)|~v4_vectsp_1(X40)|~v5_vectsp_1(X40)|~v2_rlvect_1(X40)|~v3_rlvect_1(X40)|~v4_rlvect_1(X40)|~v3_group_1(X40)|~v1_field_4(X40,X39)|~l6_algstr_0(X40)))&(l1_vectsp_1(k2_field_4(X39,X40),X39)|(v2_struct_0(X39)|~v13_algstr_0(X39)|~v4_vectsp_1(X39)|~v5_vectsp_1(X39)|~v2_rlvect_1(X39)|~v3_rlvect_1(X39)|~v4_rlvect_1(X39)|~v3_group_1(X39)|~l6_algstr_0(X39)|v2_struct_0(X40)|~v13_algstr_0(X40)|~v4_vectsp_1(X40)|~v5_vectsp_1(X40)|~v2_rlvect_1(X40)|~v3_rlvect_1(X40)|~v4_rlvect_1(X40)|~v3_group_1(X40)|~v1_field_4(X40,X39)|~l6_algstr_0(X40)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])).
fof(c_0_58, plain, ![X59, X60]:((v2_struct_0(X60)|v6_struct_0(X60)|~v13_algstr_0(X60)|~v33_algstr_0(X60)|~v4_vectsp_1(X60)|~v5_vectsp_1(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v3_group_1(X60)|~v5_group_1(X60)|~v1_field_4(X60,X59)|~l6_algstr_0(X60)|m1_ec_pf_1(X59,X60)|(v2_struct_0(X60)|v6_struct_0(X60)|~v13_algstr_0(X60)|~v33_algstr_0(X60)|~v4_vectsp_1(X60)|~v5_vectsp_1(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v3_group_1(X60)|~v5_group_1(X60)|~l6_algstr_0(X60))|~epred1_1(X59))&(((((((((((((~v2_struct_0(X60)|~m1_ec_pf_1(X59,X60)|(v2_struct_0(X60)|v6_struct_0(X60)|~v13_algstr_0(X60)|~v33_algstr_0(X60)|~v4_vectsp_1(X60)|~v5_vectsp_1(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v3_group_1(X60)|~v5_group_1(X60)|~l6_algstr_0(X60))|~epred1_1(X59))&(~v6_struct_0(X60)|~m1_ec_pf_1(X59,X60)|(v2_struct_0(X60)|v6_struct_0(X60)|~v13_algstr_0(X60)|~v33_algstr_0(X60)|~v4_vectsp_1(X60)|~v5_vectsp_1(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v3_group_1(X60)|~v5_group_1(X60)|~l6_algstr_0(X60))|~epred1_1(X59)))&(v13_algstr_0(X60)|~m1_ec_pf_1(X59,X60)|(v2_struct_0(X60)|v6_struct_0(X60)|~v13_algstr_0(X60)|~v33_algstr_0(X60)|~v4_vectsp_1(X60)|~v5_vectsp_1(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v3_group_1(X60)|~v5_group_1(X60)|~l6_algstr_0(X60))|~epred1_1(X59)))&(v33_algstr_0(X60)|~m1_ec_pf_1(X59,X60)|(v2_struct_0(X60)|v6_struct_0(X60)|~v13_algstr_0(X60)|~v33_algstr_0(X60)|~v4_vectsp_1(X60)|~v5_vectsp_1(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v3_group_1(X60)|~v5_group_1(X60)|~l6_algstr_0(X60))|~epred1_1(X59)))&(v4_vectsp_1(X60)|~m1_ec_pf_1(X59,X60)|(v2_struct_0(X60)|v6_struct_0(X60)|~v13_algstr_0(X60)|~v33_algstr_0(X60)|~v4_vectsp_1(X60)|~v5_vectsp_1(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v3_group_1(X60)|~v5_group_1(X60)|~l6_algstr_0(X60))|~epred1_1(X59)))&(v5_vectsp_1(X60)|~m1_ec_pf_1(X59,X60)|(v2_struct_0(X60)|v6_struct_0(X60)|~v13_algstr_0(X60)|~v33_algstr_0(X60)|~v4_vectsp_1(X60)|~v5_vectsp_1(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v3_group_1(X60)|~v5_group_1(X60)|~l6_algstr_0(X60))|~epred1_1(X59)))&(v2_rlvect_1(X60)|~m1_ec_pf_1(X59,X60)|(v2_struct_0(X60)|v6_struct_0(X60)|~v13_algstr_0(X60)|~v33_algstr_0(X60)|~v4_vectsp_1(X60)|~v5_vectsp_1(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v3_group_1(X60)|~v5_group_1(X60)|~l6_algstr_0(X60))|~epred1_1(X59)))&(v3_rlvect_1(X60)|~m1_ec_pf_1(X59,X60)|(v2_struct_0(X60)|v6_struct_0(X60)|~v13_algstr_0(X60)|~v33_algstr_0(X60)|~v4_vectsp_1(X60)|~v5_vectsp_1(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v3_group_1(X60)|~v5_group_1(X60)|~l6_algstr_0(X60))|~epred1_1(X59)))&(v4_rlvect_1(X60)|~m1_ec_pf_1(X59,X60)|(v2_struct_0(X60)|v6_struct_0(X60)|~v13_algstr_0(X60)|~v33_algstr_0(X60)|~v4_vectsp_1(X60)|~v5_vectsp_1(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v3_group_1(X60)|~v5_group_1(X60)|~l6_algstr_0(X60))|~epred1_1(X59)))&(v3_group_1(X60)|~m1_ec_pf_1(X59,X60)|(v2_struct_0(X60)|v6_struct_0(X60)|~v13_algstr_0(X60)|~v33_algstr_0(X60)|~v4_vectsp_1(X60)|~v5_vectsp_1(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v3_group_1(X60)|~v5_group_1(X60)|~l6_algstr_0(X60))|~epred1_1(X59)))&(v5_group_1(X60)|~m1_ec_pf_1(X59,X60)|(v2_struct_0(X60)|v6_struct_0(X60)|~v13_algstr_0(X60)|~v33_algstr_0(X60)|~v4_vectsp_1(X60)|~v5_vectsp_1(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v3_group_1(X60)|~v5_group_1(X60)|~l6_algstr_0(X60))|~epred1_1(X59)))&(v1_field_4(X60,X59)|~m1_ec_pf_1(X59,X60)|(v2_struct_0(X60)|v6_struct_0(X60)|~v13_algstr_0(X60)|~v33_algstr_0(X60)|~v4_vectsp_1(X60)|~v5_vectsp_1(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v3_group_1(X60)|~v5_group_1(X60)|~l6_algstr_0(X60))|~epred1_1(X59)))&(l6_algstr_0(X60)|~m1_ec_pf_1(X59,X60)|(v2_struct_0(X60)|v6_struct_0(X60)|~v13_algstr_0(X60)|~v33_algstr_0(X60)|~v4_vectsp_1(X60)|~v5_vectsp_1(X60)|~v2_rlvect_1(X60)|~v3_rlvect_1(X60)|~v4_rlvect_1(X60)|~v3_group_1(X60)|~v5_group_1(X60)|~l6_algstr_0(X60))|~epred1_1(X59)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])])).
cnf(c_0_59, plain, (v2_struct_0(X1)|v6_struct_0(X1)|epred1_1(X1)|~v13_algstr_0(X1)|~v33_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_60, negated_conjecture, (l6_algstr_0(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[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_42, c_0_43]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35])]), c_0_36]), c_0_37])).
cnf(c_0_61, negated_conjecture, (v5_group_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[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_44, c_0_43]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35])]), c_0_36]), c_0_37])).
cnf(c_0_62, negated_conjecture, (v3_group_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[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_45, c_0_43]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35])]), c_0_36]), c_0_37])).
cnf(c_0_63, negated_conjecture, (v5_vectsp_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[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_46, c_0_43]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35])]), c_0_36]), c_0_37])).
cnf(c_0_64, negated_conjecture, (v4_vectsp_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[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_47, c_0_43]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35])]), c_0_36]), c_0_37])).
cnf(c_0_65, negated_conjecture, (v4_rlvect_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[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_48, c_0_43]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35])]), c_0_36]), c_0_37])).
cnf(c_0_66, negated_conjecture, (v3_rlvect_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[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_49, c_0_43]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35])]), c_0_36]), c_0_37])).
cnf(c_0_67, negated_conjecture, (v2_rlvect_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[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_50, c_0_43]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35])]), c_0_36]), c_0_37])).
cnf(c_0_68, negated_conjecture, (v33_algstr_0(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[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_51, c_0_43]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35])]), c_0_36]), c_0_37])).
cnf(c_0_69, negated_conjecture, (v13_algstr_0(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[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_52, c_0_43]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35])]), c_0_36]), c_0_37])).
cnf(c_0_70, negated_conjecture, (~v6_struct_0(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[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_53, c_0_43]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35])]), c_0_36]), c_0_37])).
cnf(c_0_71, negated_conjecture, (~v2_struct_0(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[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_54, c_0_43]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35])]), c_0_36]), c_0_37])).
fof(c_0_72, plain, ![X1, X2]:(((((((((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&~v2_struct_0(X2))&v13_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>((((v13_algstr_0(k2_field_4(X1,X2))&v7_vectsp_1(k2_field_4(X1,X2),X1))&v2_rlvect_1(k2_field_4(X1,X2)))&v3_rlvect_1(k2_field_4(X1,X2)))&v4_rlvect_1(k2_field_4(X1,X2)))), inference(fof_simplification,[status(thm)],[fc6_field_4])).
fof(c_0_73, plain, ![X56, X57]:(v2_struct_0(X56)|v6_struct_0(X56)|~v13_algstr_0(X56)|~v33_algstr_0(X56)|~v2_rlvect_1(X56)|~v3_rlvect_1(X56)|~v4_rlvect_1(X56)|~v4_vectsp_1(X56)|~v5_vectsp_1(X56)|~v3_group_1(X56)|~v5_group_1(X56)|~l6_algstr_0(X56)|(v2_struct_0(X57)|~v13_algstr_0(X57)|~v2_rlvect_1(X57)|~v3_rlvect_1(X57)|~v4_rlvect_1(X57)|~v8_vectsp_1(X57,X56)|~v9_vectsp_1(X57,X56)|~v10_vectsp_1(X57,X56)|~v11_vectsp_1(X57,X56)|~l1_vectsp_1(X57,X56)|(~v1_finset_1(k2_struct_0(X57))|v1_matrlin(X57,X56)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])).
fof(c_0_74, plain, ![X33]:(~l1_struct_0(X33)|k2_struct_0(X33)=u1_struct_0(X33)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_struct_0])])).
cnf(c_0_75, plain, (u1_struct_0(X1)=u1_struct_0(X2)|v2_struct_0(X2)|v2_struct_0(X3)|X1!=k2_field_4(X3,X2)|~v7_vectsp_1(X1,X3)|~l1_vectsp_1(X1,X3)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~v1_field_4(X2,X3)|~l6_algstr_0(X2)|~v13_algstr_0(X3)|~v4_vectsp_1(X3)|~v5_vectsp_1(X3)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~v3_group_1(X3)|~l6_algstr_0(X3)), inference(split_conjunct,[status(thm)],[c_0_56])).
cnf(c_0_76, plain, (v7_vectsp_1(k2_field_4(X1,X2),X1)|v2_struct_0(X1)|v2_struct_0(X2)|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~v1_field_4(X2,X1)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_77, plain, (l1_vectsp_1(k2_field_4(X1,X2),X1)|v2_struct_0(X1)|v2_struct_0(X2)|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~v1_field_4(X2,X1)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_78, plain, (v1_field_4(X1,X2)|v2_struct_0(X1)|v6_struct_0(X1)|~m1_ec_pf_1(X2,X1)|~v13_algstr_0(X1)|~v33_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)|~epred1_1(X2)), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_79, negated_conjecture, (epred1_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[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(spm,[status(thm)],[c_0_59, c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69])]), c_0_70]), c_0_71])).
fof(c_0_80, plain, ![X51, X52]:(((((v13_algstr_0(k2_field_4(X51,X52))|(v2_struct_0(X51)|~v13_algstr_0(X51)|~v4_vectsp_1(X51)|~v5_vectsp_1(X51)|~v2_rlvect_1(X51)|~v3_rlvect_1(X51)|~v4_rlvect_1(X51)|~v3_group_1(X51)|~l6_algstr_0(X51)|v2_struct_0(X52)|~v13_algstr_0(X52)|~v4_vectsp_1(X52)|~v5_vectsp_1(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v3_group_1(X52)|~v1_field_4(X52,X51)|~l6_algstr_0(X52)))&(v7_vectsp_1(k2_field_4(X51,X52),X51)|(v2_struct_0(X51)|~v13_algstr_0(X51)|~v4_vectsp_1(X51)|~v5_vectsp_1(X51)|~v2_rlvect_1(X51)|~v3_rlvect_1(X51)|~v4_rlvect_1(X51)|~v3_group_1(X51)|~l6_algstr_0(X51)|v2_struct_0(X52)|~v13_algstr_0(X52)|~v4_vectsp_1(X52)|~v5_vectsp_1(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v3_group_1(X52)|~v1_field_4(X52,X51)|~l6_algstr_0(X52))))&(v2_rlvect_1(k2_field_4(X51,X52))|(v2_struct_0(X51)|~v13_algstr_0(X51)|~v4_vectsp_1(X51)|~v5_vectsp_1(X51)|~v2_rlvect_1(X51)|~v3_rlvect_1(X51)|~v4_rlvect_1(X51)|~v3_group_1(X51)|~l6_algstr_0(X51)|v2_struct_0(X52)|~v13_algstr_0(X52)|~v4_vectsp_1(X52)|~v5_vectsp_1(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v3_group_1(X52)|~v1_field_4(X52,X51)|~l6_algstr_0(X52))))&(v3_rlvect_1(k2_field_4(X51,X52))|(v2_struct_0(X51)|~v13_algstr_0(X51)|~v4_vectsp_1(X51)|~v5_vectsp_1(X51)|~v2_rlvect_1(X51)|~v3_rlvect_1(X51)|~v4_rlvect_1(X51)|~v3_group_1(X51)|~l6_algstr_0(X51)|v2_struct_0(X52)|~v13_algstr_0(X52)|~v4_vectsp_1(X52)|~v5_vectsp_1(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v3_group_1(X52)|~v1_field_4(X52,X51)|~l6_algstr_0(X52))))&(v4_rlvect_1(k2_field_4(X51,X52))|(v2_struct_0(X51)|~v13_algstr_0(X51)|~v4_vectsp_1(X51)|~v5_vectsp_1(X51)|~v2_rlvect_1(X51)|~v3_rlvect_1(X51)|~v4_rlvect_1(X51)|~v3_group_1(X51)|~l6_algstr_0(X51)|v2_struct_0(X52)|~v13_algstr_0(X52)|~v4_vectsp_1(X52)|~v5_vectsp_1(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v3_group_1(X52)|~v1_field_4(X52,X51)|~l6_algstr_0(X52)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])])).
cnf(c_0_81, plain, (v2_struct_0(X1)|v6_struct_0(X1)|v2_struct_0(X2)|v1_matrlin(X2,X1)|~v13_algstr_0(X1)|~v33_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v8_vectsp_1(X2,X1)|~v9_vectsp_1(X2,X1)|~v10_vectsp_1(X2,X1)|~v11_vectsp_1(X2,X1)|~l1_vectsp_1(X2,X1)|~v1_finset_1(k2_struct_0(X2))), inference(split_conjunct,[status(thm)],[c_0_73])).
cnf(c_0_82, plain, (k2_struct_0(X1)=u1_struct_0(X1)|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_74])).
cnf(c_0_83, plain, (u1_struct_0(k2_field_4(X1,X2))=u1_struct_0(X2)|v2_struct_0(X1)|v2_struct_0(X2)|~v1_field_4(X2,X1)|~l6_algstr_0(X1)|~l6_algstr_0(X2)|~v3_group_1(X1)|~v3_group_1(X2)|~v5_vectsp_1(X1)|~v5_vectsp_1(X2)|~v4_vectsp_1(X1)|~v4_vectsp_1(X2)|~v4_rlvect_1(X1)|~v4_rlvect_1(X2)|~v3_rlvect_1(X1)|~v3_rlvect_1(X2)|~v2_rlvect_1(X1)|~v2_rlvect_1(X2)|~v13_algstr_0(X1)|~v13_algstr_0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_75]), c_0_76]), c_0_77])).
cnf(c_0_84, negated_conjecture, (v1_field_4(esk1_0,k8_ring_3(esk1_0))), inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_43]), c_0_79]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35])]), c_0_36]), c_0_37])).
cnf(c_0_85, plain, (v4_rlvect_1(k2_field_4(X1,X2))|v2_struct_0(X1)|v2_struct_0(X2)|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~v1_field_4(X2,X1)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_80])).
cnf(c_0_86, plain, (v3_rlvect_1(k2_field_4(X1,X2))|v2_struct_0(X1)|v2_struct_0(X2)|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~v1_field_4(X2,X1)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_80])).
cnf(c_0_87, plain, (v2_rlvect_1(k2_field_4(X1,X2))|v2_struct_0(X1)|v2_struct_0(X2)|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~v1_field_4(X2,X1)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_80])).
cnf(c_0_88, plain, (v13_algstr_0(k2_field_4(X1,X2))|v2_struct_0(X1)|v2_struct_0(X2)|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~v1_field_4(X2,X1)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_80])).
fof(c_0_89, plain, ![X45]:(~l2_struct_0(X45)|l1_struct_0(X45)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_struct_0])])).
fof(c_0_90, plain, ![X44]:((l2_struct_0(X44)|~l2_algstr_0(X44))&(l1_algstr_0(X44)|~l2_algstr_0(X44))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_algstr_0])])])).
cnf(c_0_91, plain, (v1_matrlin(X1,X2)|v6_struct_0(X2)|v2_struct_0(X2)|v2_struct_0(X1)|~v1_finset_1(u1_struct_0(X1))|~v11_vectsp_1(X1,X2)|~v10_vectsp_1(X1,X2)|~v9_vectsp_1(X1,X2)|~v8_vectsp_1(X1,X2)|~l1_vectsp_1(X1,X2)|~l1_struct_0(X1)|~l6_algstr_0(X2)|~v5_group_1(X2)|~v3_group_1(X2)|~v5_vectsp_1(X2)|~v4_vectsp_1(X2)|~v4_rlvect_1(X1)|~v4_rlvect_1(X2)|~v3_rlvect_1(X1)|~v3_rlvect_1(X2)|~v2_rlvect_1(X1)|~v2_rlvect_1(X2)|~v33_algstr_0(X2)|~v13_algstr_0(X1)|~v13_algstr_0(X2)), inference(spm,[status(thm)],[c_0_81, c_0_82])).
cnf(c_0_92, negated_conjecture, (u1_struct_0(k2_field_4(k8_ring_3(esk1_0),esk1_0))=u1_struct_0(esk1_0)), inference(sr,[status(thm)],[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(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_84]), c_0_60]), c_0_26]), c_0_62]), c_0_28]), c_0_63]), c_0_29]), c_0_64]), c_0_30]), c_0_65]), c_0_31]), c_0_66]), c_0_32]), c_0_67]), c_0_33]), c_0_69]), c_0_35])]), c_0_37]), c_0_71])).
cnf(c_0_93, negated_conjecture, (v4_rlvect_1(k2_field_4(k8_ring_3(esk1_0),esk1_0))), inference(sr,[status(thm)],[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(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_85, c_0_84]), c_0_26]), c_0_60]), c_0_28]), c_0_62]), c_0_29]), c_0_63]), c_0_30]), c_0_64]), c_0_31]), c_0_65]), c_0_32]), c_0_66]), c_0_33]), c_0_67]), c_0_35]), c_0_69])]), c_0_37]), c_0_71])).
cnf(c_0_94, negated_conjecture, (v3_rlvect_1(k2_field_4(k8_ring_3(esk1_0),esk1_0))), inference(sr,[status(thm)],[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(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_86, c_0_84]), c_0_26]), c_0_60]), c_0_28]), c_0_62]), c_0_29]), c_0_63]), c_0_30]), c_0_64]), c_0_31]), c_0_65]), c_0_32]), c_0_66]), c_0_33]), c_0_67]), c_0_35]), c_0_69])]), c_0_37]), c_0_71])).
cnf(c_0_95, negated_conjecture, (v2_rlvect_1(k2_field_4(k8_ring_3(esk1_0),esk1_0))), inference(sr,[status(thm)],[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(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_84]), c_0_26]), c_0_60]), c_0_28]), c_0_62]), c_0_29]), c_0_63]), c_0_30]), c_0_64]), c_0_31]), c_0_65]), c_0_32]), c_0_66]), c_0_33]), c_0_67]), c_0_35]), c_0_69])]), c_0_37]), c_0_71])).
cnf(c_0_96, negated_conjecture, (v13_algstr_0(k2_field_4(k8_ring_3(esk1_0),esk1_0))), inference(sr,[status(thm)],[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(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_88, c_0_84]), c_0_26]), c_0_60]), c_0_28]), c_0_62]), c_0_29]), c_0_63]), c_0_30]), c_0_64]), c_0_31]), c_0_65]), c_0_32]), c_0_66]), c_0_33]), c_0_67]), c_0_35]), c_0_69])]), c_0_37]), c_0_71])).
fof(c_0_97, plain, ![X55]:(~v8_struct_0(X55)|~l1_struct_0(X55)|v1_finset_1(u1_struct_0(X55))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc8_struct_0])])).
cnf(c_0_98, plain, (l1_struct_0(X1)|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_89])).
cnf(c_0_99, plain, (l2_struct_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_90])).
fof(c_0_100, plain, ![X46]:((l2_algstr_0(X46)|~l6_algstr_0(X46))&(l5_algstr_0(X46)|~l6_algstr_0(X46))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
fof(c_0_101, plain, ![X42, X43]:(~l1_struct_0(X42)|(~l1_vectsp_1(X43,X42)|l2_algstr_0(X43))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_vectsp_1])])])).
cnf(c_0_102, negated_conjecture, (v1_matrlin(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|v6_struct_0(X1)|v2_struct_0(k2_field_4(k8_ring_3(esk1_0),esk1_0))|v2_struct_0(X1)|~v1_finset_1(u1_struct_0(esk1_0))|~v11_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~v10_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~v9_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~v8_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~l1_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~l1_struct_0(k2_field_4(k8_ring_3(esk1_0),esk1_0))|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)), 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_91, c_0_92]), c_0_93]), c_0_94]), c_0_95]), c_0_96])])).
cnf(c_0_103, plain, (v1_finset_1(u1_struct_0(X1))|~v8_struct_0(X1)|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_97])).
cnf(c_0_104, negated_conjecture, (v8_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
cnf(c_0_105, plain, (l1_struct_0(X1)|~l2_algstr_0(X1)), inference(spm,[status(thm)],[c_0_98, c_0_99])).
cnf(c_0_106, plain, (l2_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_100])).
cnf(c_0_107, plain, (l2_algstr_0(X2)|~l1_struct_0(X1)|~l1_vectsp_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_101])).
cnf(c_0_108, negated_conjecture, (l1_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),k8_ring_3(esk1_0))), inference(sr,[status(thm)],[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(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_77, c_0_84]), c_0_26]), c_0_60]), c_0_28]), c_0_62]), c_0_29]), c_0_63]), c_0_30]), c_0_64]), c_0_31]), c_0_65]), c_0_32]), c_0_66]), c_0_33]), c_0_67]), c_0_35]), c_0_69])]), c_0_37]), c_0_71])).
cnf(c_0_109, negated_conjecture, (v1_matrlin(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|v6_struct_0(X1)|v2_struct_0(k2_field_4(k8_ring_3(esk1_0),esk1_0))|v2_struct_0(X1)|~v11_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~v10_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~v9_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~v8_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~l1_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~l1_struct_0(k2_field_4(k8_ring_3(esk1_0),esk1_0))|~l1_struct_0(esk1_0)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_103]), c_0_104])])).
cnf(c_0_110, plain, (l1_struct_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_105, c_0_106])).
cnf(c_0_111, negated_conjecture, (l2_algstr_0(k2_field_4(k8_ring_3(esk1_0),esk1_0))|~l1_struct_0(k8_ring_3(esk1_0))), inference(spm,[status(thm)],[c_0_107, c_0_108])).
fof(c_0_112, plain, ![X1, X2]:(((((((((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&~v2_struct_0(X2))&v13_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>((((v7_vectsp_1(k2_field_4(X1,X2),X1)&v8_vectsp_1(k2_field_4(X1,X2),X1))&v9_vectsp_1(k2_field_4(X1,X2),X1))&v10_vectsp_1(k2_field_4(X1,X2),X1))&v11_vectsp_1(k2_field_4(X1,X2),X1))), inference(fof_simplification,[status(thm)],[fc7_field_4])).
cnf(c_0_113, negated_conjecture, (v1_matrlin(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|v6_struct_0(X1)|v2_struct_0(k2_field_4(k8_ring_3(esk1_0),esk1_0))|v2_struct_0(X1)|~v11_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~v10_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~v9_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~v8_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~l1_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~l1_struct_0(k2_field_4(k8_ring_3(esk1_0),esk1_0))|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_110]), c_0_26])])).
cnf(c_0_114, negated_conjecture, (l1_struct_0(k2_field_4(k8_ring_3(esk1_0),esk1_0))|~l1_struct_0(k8_ring_3(esk1_0))), inference(spm,[status(thm)],[c_0_105, c_0_111])).
fof(c_0_115, plain, ![X53, X54]:(((((v7_vectsp_1(k2_field_4(X53,X54),X53)|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v4_vectsp_1(X53)|~v5_vectsp_1(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v3_group_1(X53)|~l6_algstr_0(X53)|v2_struct_0(X54)|~v13_algstr_0(X54)|~v4_vectsp_1(X54)|~v5_vectsp_1(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v3_group_1(X54)|~v1_field_4(X54,X53)|~l6_algstr_0(X54)))&(v8_vectsp_1(k2_field_4(X53,X54),X53)|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v4_vectsp_1(X53)|~v5_vectsp_1(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v3_group_1(X53)|~l6_algstr_0(X53)|v2_struct_0(X54)|~v13_algstr_0(X54)|~v4_vectsp_1(X54)|~v5_vectsp_1(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v3_group_1(X54)|~v1_field_4(X54,X53)|~l6_algstr_0(X54))))&(v9_vectsp_1(k2_field_4(X53,X54),X53)|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v4_vectsp_1(X53)|~v5_vectsp_1(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v3_group_1(X53)|~l6_algstr_0(X53)|v2_struct_0(X54)|~v13_algstr_0(X54)|~v4_vectsp_1(X54)|~v5_vectsp_1(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v3_group_1(X54)|~v1_field_4(X54,X53)|~l6_algstr_0(X54))))&(v10_vectsp_1(k2_field_4(X53,X54),X53)|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v4_vectsp_1(X53)|~v5_vectsp_1(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v3_group_1(X53)|~l6_algstr_0(X53)|v2_struct_0(X54)|~v13_algstr_0(X54)|~v4_vectsp_1(X54)|~v5_vectsp_1(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v3_group_1(X54)|~v1_field_4(X54,X53)|~l6_algstr_0(X54))))&(v11_vectsp_1(k2_field_4(X53,X54),X53)|(v2_struct_0(X53)|~v13_algstr_0(X53)|~v4_vectsp_1(X53)|~v5_vectsp_1(X53)|~v2_rlvect_1(X53)|~v3_rlvect_1(X53)|~v4_rlvect_1(X53)|~v3_group_1(X53)|~l6_algstr_0(X53)|v2_struct_0(X54)|~v13_algstr_0(X54)|~v4_vectsp_1(X54)|~v5_vectsp_1(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v3_group_1(X54)|~v1_field_4(X54,X53)|~l6_algstr_0(X54)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_112])])])).
fof(c_0_116, plain, ![X1]:((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v33_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:(((((((((((((~v2_struct_0(X2)&~v6_struct_0(X2))&v13_algstr_0(X2))&v33_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v5_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>(v2_field_4(X2,X1)<=>v1_matrlin(k2_field_4(X1,X2),X1)))), inference(fof_simplification,[status(thm)],[d8_field_4])).
cnf(c_0_117, negated_conjecture, (v1_matrlin(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|v6_struct_0(X1)|v2_struct_0(k2_field_4(k8_ring_3(esk1_0),esk1_0))|v2_struct_0(X1)|~v11_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~v10_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~v9_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~v8_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~l1_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~l1_struct_0(k8_ring_3(esk1_0))|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_113, c_0_114])).
cnf(c_0_118, plain, (v11_vectsp_1(k2_field_4(X1,X2),X1)|v2_struct_0(X1)|v2_struct_0(X2)|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~v1_field_4(X2,X1)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_115])).
cnf(c_0_119, plain, (v10_vectsp_1(k2_field_4(X1,X2),X1)|v2_struct_0(X1)|v2_struct_0(X2)|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~v1_field_4(X2,X1)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_115])).
cnf(c_0_120, plain, (v9_vectsp_1(k2_field_4(X1,X2),X1)|v2_struct_0(X1)|v2_struct_0(X2)|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~v1_field_4(X2,X1)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_115])).
cnf(c_0_121, plain, (v8_vectsp_1(k2_field_4(X1,X2),X1)|v2_struct_0(X1)|v2_struct_0(X2)|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~v1_field_4(X2,X1)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_115])).
cnf(c_0_122, negated_conjecture, (v2_struct_0(esk1_0)|v6_struct_0(esk1_0)|~v13_algstr_0(esk1_0)|~v33_algstr_0(esk1_0)|~v2_rlvect_1(esk1_0)|~v3_rlvect_1(esk1_0)|~v4_rlvect_1(esk1_0)|~v4_vectsp_1(esk1_0)|~v5_vectsp_1(esk1_0)|~v3_group_1(esk1_0)|~v5_group_1(esk1_0)|~v1_field_4(esk1_0,k8_ring_3(esk1_0))|~v2_field_4(esk1_0,k8_ring_3(esk1_0))|~l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_22])).
fof(c_0_123, plain, ![X1, X2]:(((((((((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))&~v2_struct_0(X2))&v13_algstr_0(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v3_group_1(X2))&v1_field_4(X2,X1))&l6_algstr_0(X2))=>(~v2_struct_0(k2_field_4(X1,X2))&v7_vectsp_1(k2_field_4(X1,X2),X1))), inference(fof_simplification,[status(thm)],[fc5_field_4])).
fof(c_0_124, plain, ![X37, X38]:((~v2_field_4(X38,X37)|v1_matrlin(k2_field_4(X37,X38),X37)|(v2_struct_0(X38)|v6_struct_0(X38)|~v13_algstr_0(X38)|~v33_algstr_0(X38)|~v4_vectsp_1(X38)|~v5_vectsp_1(X38)|~v2_rlvect_1(X38)|~v3_rlvect_1(X38)|~v4_rlvect_1(X38)|~v3_group_1(X38)|~v5_group_1(X38)|~v1_field_4(X38,X37)|~l6_algstr_0(X38))|(v2_struct_0(X37)|v6_struct_0(X37)|~v13_algstr_0(X37)|~v33_algstr_0(X37)|~v4_vectsp_1(X37)|~v5_vectsp_1(X37)|~v2_rlvect_1(X37)|~v3_rlvect_1(X37)|~v4_rlvect_1(X37)|~v3_group_1(X37)|~v5_group_1(X37)|~l6_algstr_0(X37)))&(~v1_matrlin(k2_field_4(X37,X38),X37)|v2_field_4(X38,X37)|(v2_struct_0(X38)|v6_struct_0(X38)|~v13_algstr_0(X38)|~v33_algstr_0(X38)|~v4_vectsp_1(X38)|~v5_vectsp_1(X38)|~v2_rlvect_1(X38)|~v3_rlvect_1(X38)|~v4_rlvect_1(X38)|~v3_group_1(X38)|~v5_group_1(X38)|~v1_field_4(X38,X37)|~l6_algstr_0(X38))|(v2_struct_0(X37)|v6_struct_0(X37)|~v13_algstr_0(X37)|~v33_algstr_0(X37)|~v4_vectsp_1(X37)|~v5_vectsp_1(X37)|~v2_rlvect_1(X37)|~v3_rlvect_1(X37)|~v4_rlvect_1(X37)|~v3_group_1(X37)|~v5_group_1(X37)|~l6_algstr_0(X37)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_116])])])])).
cnf(c_0_125, negated_conjecture, (v1_matrlin(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|v6_struct_0(X1)|v2_struct_0(k2_field_4(k8_ring_3(esk1_0),esk1_0))|v2_struct_0(X1)|~v11_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~v10_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~v9_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~v8_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~l1_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),X1)|~l6_algstr_0(X1)|~v5_group_1(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v33_algstr_0(X1)|~v13_algstr_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117, c_0_110]), c_0_60])])).
cnf(c_0_126, negated_conjecture, (v11_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),k8_ring_3(esk1_0))), inference(sr,[status(thm)],[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(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_118, c_0_84]), c_0_26]), c_0_60]), c_0_28]), c_0_62]), c_0_29]), c_0_63]), c_0_30]), c_0_64]), c_0_31]), c_0_65]), c_0_32]), c_0_66]), c_0_33]), c_0_67]), c_0_35]), c_0_69])]), c_0_37]), c_0_71])).
cnf(c_0_127, negated_conjecture, (v10_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),k8_ring_3(esk1_0))), inference(sr,[status(thm)],[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(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_119, c_0_84]), c_0_26]), c_0_60]), c_0_28]), c_0_62]), c_0_29]), c_0_63]), c_0_30]), c_0_64]), c_0_31]), c_0_65]), c_0_32]), c_0_66]), c_0_33]), c_0_67]), c_0_35]), c_0_69])]), c_0_37]), c_0_71])).
cnf(c_0_128, negated_conjecture, (v9_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),k8_ring_3(esk1_0))), inference(sr,[status(thm)],[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(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_120, c_0_84]), c_0_26]), c_0_60]), c_0_28]), c_0_62]), c_0_29]), c_0_63]), c_0_30]), c_0_64]), c_0_31]), c_0_65]), c_0_32]), c_0_66]), c_0_33]), c_0_67]), c_0_35]), c_0_69])]), c_0_37]), c_0_71])).
cnf(c_0_129, negated_conjecture, (v8_vectsp_1(k2_field_4(k8_ring_3(esk1_0),esk1_0),k8_ring_3(esk1_0))), inference(sr,[status(thm)],[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(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_121, c_0_84]), c_0_26]), c_0_60]), c_0_28]), c_0_62]), c_0_29]), c_0_63]), c_0_30]), c_0_64]), c_0_31]), c_0_65]), c_0_32]), c_0_66]), c_0_33]), c_0_67]), c_0_35]), c_0_69])]), c_0_37]), c_0_71])).
cnf(c_0_130, negated_conjecture, (~v2_field_4(esk1_0,k8_ring_3(esk1_0))|~v1_field_4(esk1_0,k8_ring_3(esk1_0))), inference(sr,[status(thm)],[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)],[c_0_122, c_0_35]), c_0_34]), c_0_33]), c_0_32]), c_0_31]), c_0_30]), c_0_29]), c_0_28]), c_0_27]), c_0_26])]), c_0_37]), c_0_36])).
fof(c_0_131, plain, ![X49, X50]:((~v2_struct_0(k2_field_4(X49,X50))|(v2_struct_0(X49)|~v13_algstr_0(X49)|~v4_vectsp_1(X49)|~v5_vectsp_1(X49)|~v2_rlvect_1(X49)|~v3_rlvect_1(X49)|~v4_rlvect_1(X49)|~v3_group_1(X49)|~l6_algstr_0(X49)|v2_struct_0(X50)|~v13_algstr_0(X50)|~v4_vectsp_1(X50)|~v5_vectsp_1(X50)|~v2_rlvect_1(X50)|~v3_rlvect_1(X50)|~v4_rlvect_1(X50)|~v3_group_1(X50)|~v1_field_4(X50,X49)|~l6_algstr_0(X50)))&(v7_vectsp_1(k2_field_4(X49,X50),X49)|(v2_struct_0(X49)|~v13_algstr_0(X49)|~v4_vectsp_1(X49)|~v5_vectsp_1(X49)|~v2_rlvect_1(X49)|~v3_rlvect_1(X49)|~v4_rlvect_1(X49)|~v3_group_1(X49)|~l6_algstr_0(X49)|v2_struct_0(X50)|~v13_algstr_0(X50)|~v4_vectsp_1(X50)|~v5_vectsp_1(X50)|~v2_rlvect_1(X50)|~v3_rlvect_1(X50)|~v4_rlvect_1(X50)|~v3_group_1(X50)|~v1_field_4(X50,X49)|~l6_algstr_0(X50)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_123])])])).
cnf(c_0_132, plain, (v2_field_4(X2,X1)|v2_struct_0(X2)|v6_struct_0(X2)|v2_struct_0(X1)|v6_struct_0(X1)|~v1_matrlin(k2_field_4(X1,X2),X1)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~v1_field_4(X2,X1)|~l6_algstr_0(X2)|~v13_algstr_0(X1)|~v33_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_124])).
cnf(c_0_133, negated_conjecture, (v1_matrlin(k2_field_4(k8_ring_3(esk1_0),esk1_0),k8_ring_3(esk1_0))|v2_struct_0(k2_field_4(k8_ring_3(esk1_0),esk1_0))), inference(sr,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_126]), c_0_127]), c_0_128]), c_0_129]), c_0_108]), c_0_60]), c_0_61]), c_0_62]), c_0_63]), c_0_64]), c_0_65]), c_0_66]), c_0_67]), c_0_68]), c_0_69])]), c_0_70]), c_0_71])).
cnf(c_0_134, negated_conjecture, (~v2_field_4(esk1_0,k8_ring_3(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130, c_0_84])])).
cnf(c_0_135, plain, (v2_struct_0(X1)|v2_struct_0(X2)|~v2_struct_0(k2_field_4(X1,X2))|~v13_algstr_0(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)|~v13_algstr_0(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_group_1(X2)|~v1_field_4(X2,X1)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_131])).
cnf(c_0_136, negated_conjecture, (v2_struct_0(k2_field_4(k8_ring_3(esk1_0),esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[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(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132, c_0_133]), c_0_84]), c_0_26]), c_0_60]), c_0_27]), c_0_61]), c_0_28]), c_0_62]), c_0_29]), c_0_63]), c_0_30]), c_0_64]), c_0_31]), c_0_65]), c_0_32]), c_0_66]), c_0_33]), c_0_67]), c_0_34]), c_0_68]), c_0_35]), c_0_69])]), c_0_134]), c_0_36]), c_0_70]), c_0_37]), c_0_71])).
cnf(c_0_137, negated_conjecture, ($false), inference(sr,[status(thm)],[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(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_135, c_0_136]), c_0_84]), c_0_26]), c_0_60]), c_0_28]), c_0_62]), c_0_29]), c_0_63]), c_0_30]), c_0_64]), c_0_31]), c_0_65]), c_0_32]), c_0_66]), c_0_33]), c_0_67]), c_0_35]), c_0_69])]), c_0_37]), c_0_71]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 138
# Proof object clause steps            : 90
# Proof object formula steps           : 48
# Proof object conjectures             : 54
# Proof object clause conjectures      : 51
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 49
# Proof object initial formulas used   : 17
# Proof object generating inferences   : 38
# Proof object simplifying inferences  : 477
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 17
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 73
# Removed in clause preprocessing      : 12
# Initial clauses in saturation        : 61
# Processed clauses                    : 541
# ...of these trivial                  : 0
# ...subsumed                          : 4
# ...remaining for further processing  : 537
# Other redundant clauses eliminated   : 4
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 5
# Backward-rewritten                   : 4
# Generated clauses                    : 575
# ...of the previous two non-trivial   : 559
# Contextual simplify-reflections      : 8
# Paramodulations                      : 567
# Factorizations                       : 2
# NegExts                              : 0
# Equation resolutions                 : 6
# 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  : 466
#    Positive orientable unit clauses  : 357
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 33
#    Non-unit-clauses                  : 76
# Current number of unprocessed clauses: 137
# ...number of literals in the above   : 1473
# Current number of archived formulas  : 0
# Current number of archived clauses   : 67
# Clause-clause subsumption calls (NU) : 22165
# Rec. Clause-clause subsumption calls : 658
# Non-unit clause-clause subsumptions  : 17
# Unit Clause-clause subsumption calls : 1142
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1782
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 114062

# -------------------------------------------------
# User time                : 0.052 s
# System time              : 0.000 s
# Total time               : 0.052 s
# Maximum resident set size: 3520 pages
