# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S060I
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.023 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(cc3_struct_0, axiom, ![X1]:(l4_struct_0(X1)=>(~(v6_struct_0(X1))=>~(v7_struct_0(X1)))), file('field_16/field_16__t52_field_16', cc3_struct_0)).
fof(dt_l2_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>l1_struct_0(X1)), file('field_16/field_16__t52_field_16', dt_l2_struct_0)).
fof(dt_l4_struct_0, axiom, ![X1]:(l4_struct_0(X1)=>(l2_struct_0(X1)&l3_struct_0(X1))), file('field_16/field_16__t52_field_16', dt_l4_struct_0)).
fof(cc1_struct_0, axiom, ![X1]:(l1_struct_0(X1)=>(v2_struct_0(X1)=>v7_struct_0(X1))), file('field_16/field_16__t52_field_16', cc1_struct_0)).
fof(dt_l5_algstr_0, axiom, ![X1]:(l5_algstr_0(X1)=>(l4_algstr_0(X1)&l4_struct_0(X1))), file('field_16/field_16__t52_field_16', dt_l5_algstr_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__t52_field_16', dt_l6_algstr_0)).
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__t52_field_16', dt_m1_ec_pf_1)).
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__t52_field_16', dt_k8_ring_3)).
fof(t52_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_14(X1,k8_ring_3(X1)))&l6_algstr_0(X1))), file('field_16/field_16__t52_field_16', t52_field_16)).
fof(cc6_field_16, axiom, ![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))=>![X2]:(l6_algstr_0(X2)=>(((((((((((((~(v2_struct_0(X2))&~(v6_struct_0(X2)))&v13_algstr_0(X2))&v33_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v3_group_1(X2))&v5_group_1(X2))&v1_field_4(X2,X1))&v2_field_4(X2,X1))=>(((((((((((((~(v2_struct_0(X2))&~(v6_struct_0(X2)))&v13_algstr_0(X2))&v33_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v3_group_1(X2))&v5_group_1(X2))&v1_field_4(X2,X1))&v2_field_4(X2,X1))&v2_field_14(X2,X1))))), file('field_16/field_16__t52_field_16', cc6_field_16)).
fof(t51_field_16, axiom, ![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__t52_field_16', t51_field_16)).
fof(cc4_field_16, axiom, ![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))=>![X2]:(m1_ec_pf_1(X2,X1)=>v8_struct_0(X2))), file('field_16/field_16__t52_field_16', cc4_field_16)).
fof(c_0_12, plain, ![X1]:(l4_struct_0(X1)=>(~v6_struct_0(X1)=>~v7_struct_0(X1))), inference(fof_simplification,[status(thm)],[cc3_struct_0])).
fof(c_0_13, plain, ![X20]:(~l2_struct_0(X20)|l1_struct_0(X20)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_struct_0])])).
fof(c_0_14, plain, ![X21]:((l2_struct_0(X21)|~l4_struct_0(X21))&(l3_struct_0(X21)|~l4_struct_0(X21))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l4_struct_0])])])).
fof(c_0_15, plain, ![X22]:(~l4_struct_0(X22)|(v6_struct_0(X22)|~v7_struct_0(X22))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])).
fof(c_0_16, plain, ![X19]:(~l1_struct_0(X19)|(~v2_struct_0(X19)|v7_struct_0(X19))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_struct_0])])).
cnf(c_0_17, plain, (l1_struct_0(X1)|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_18, plain, (l2_struct_0(X1)|~l4_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_14])).
fof(c_0_19, plain, ![X23]:((l4_algstr_0(X23)|~l5_algstr_0(X23))&(l4_struct_0(X23)|~l5_algstr_0(X23))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l5_algstr_0])])])).
fof(c_0_20, plain, ![X29]:((l2_algstr_0(X29)|~l6_algstr_0(X29))&(l5_algstr_0(X29)|~l6_algstr_0(X29))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
fof(c_0_21, 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])).
cnf(c_0_22, plain, (v6_struct_0(X1)|~l4_struct_0(X1)|~v7_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_23, plain, (v7_struct_0(X1)|~l1_struct_0(X1)|~v2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_24, plain, (l1_struct_0(X1)|~l4_struct_0(X1)), inference(spm,[status(thm)],[c_0_17, c_0_18])).
cnf(c_0_25, plain, (l4_struct_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_26, plain, (l5_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
fof(c_0_27, 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_28, plain, ![X24, X25]:((((((((((((~v2_struct_0(X25)|~m1_ec_pf_1(X25,X24)|(v2_struct_0(X24)|v6_struct_0(X24)|~v13_algstr_0(X24)|~v33_algstr_0(X24)|~v3_group_1(X24)|~v5_group_1(X24)|~v4_vectsp_1(X24)|~v5_vectsp_1(X24)|~v2_rlvect_1(X24)|~v3_rlvect_1(X24)|~v4_rlvect_1(X24)|~l6_algstr_0(X24)))&(~v6_struct_0(X25)|~m1_ec_pf_1(X25,X24)|(v2_struct_0(X24)|v6_struct_0(X24)|~v13_algstr_0(X24)|~v33_algstr_0(X24)|~v3_group_1(X24)|~v5_group_1(X24)|~v4_vectsp_1(X24)|~v5_vectsp_1(X24)|~v2_rlvect_1(X24)|~v3_rlvect_1(X24)|~v4_rlvect_1(X24)|~l6_algstr_0(X24))))&(v13_algstr_0(X25)|~m1_ec_pf_1(X25,X24)|(v2_struct_0(X24)|v6_struct_0(X24)|~v13_algstr_0(X24)|~v33_algstr_0(X24)|~v3_group_1(X24)|~v5_group_1(X24)|~v4_vectsp_1(X24)|~v5_vectsp_1(X24)|~v2_rlvect_1(X24)|~v3_rlvect_1(X24)|~v4_rlvect_1(X24)|~l6_algstr_0(X24))))&(v33_algstr_0(X25)|~m1_ec_pf_1(X25,X24)|(v2_struct_0(X24)|v6_struct_0(X24)|~v13_algstr_0(X24)|~v33_algstr_0(X24)|~v3_group_1(X24)|~v5_group_1(X24)|~v4_vectsp_1(X24)|~v5_vectsp_1(X24)|~v2_rlvect_1(X24)|~v3_rlvect_1(X24)|~v4_rlvect_1(X24)|~l6_algstr_0(X24))))&(v3_group_1(X25)|~m1_ec_pf_1(X25,X24)|(v2_struct_0(X24)|v6_struct_0(X24)|~v13_algstr_0(X24)|~v33_algstr_0(X24)|~v3_group_1(X24)|~v5_group_1(X24)|~v4_vectsp_1(X24)|~v5_vectsp_1(X24)|~v2_rlvect_1(X24)|~v3_rlvect_1(X24)|~v4_rlvect_1(X24)|~l6_algstr_0(X24))))&(v5_group_1(X25)|~m1_ec_pf_1(X25,X24)|(v2_struct_0(X24)|v6_struct_0(X24)|~v13_algstr_0(X24)|~v33_algstr_0(X24)|~v3_group_1(X24)|~v5_group_1(X24)|~v4_vectsp_1(X24)|~v5_vectsp_1(X24)|~v2_rlvect_1(X24)|~v3_rlvect_1(X24)|~v4_rlvect_1(X24)|~l6_algstr_0(X24))))&(v4_vectsp_1(X25)|~m1_ec_pf_1(X25,X24)|(v2_struct_0(X24)|v6_struct_0(X24)|~v13_algstr_0(X24)|~v33_algstr_0(X24)|~v3_group_1(X24)|~v5_group_1(X24)|~v4_vectsp_1(X24)|~v5_vectsp_1(X24)|~v2_rlvect_1(X24)|~v3_rlvect_1(X24)|~v4_rlvect_1(X24)|~l6_algstr_0(X24))))&(v5_vectsp_1(X25)|~m1_ec_pf_1(X25,X24)|(v2_struct_0(X24)|v6_struct_0(X24)|~v13_algstr_0(X24)|~v33_algstr_0(X24)|~v3_group_1(X24)|~v5_group_1(X24)|~v4_vectsp_1(X24)|~v5_vectsp_1(X24)|~v2_rlvect_1(X24)|~v3_rlvect_1(X24)|~v4_rlvect_1(X24)|~l6_algstr_0(X24))))&(v2_rlvect_1(X25)|~m1_ec_pf_1(X25,X24)|(v2_struct_0(X24)|v6_struct_0(X24)|~v13_algstr_0(X24)|~v33_algstr_0(X24)|~v3_group_1(X24)|~v5_group_1(X24)|~v4_vectsp_1(X24)|~v5_vectsp_1(X24)|~v2_rlvect_1(X24)|~v3_rlvect_1(X24)|~v4_rlvect_1(X24)|~l6_algstr_0(X24))))&(v3_rlvect_1(X25)|~m1_ec_pf_1(X25,X24)|(v2_struct_0(X24)|v6_struct_0(X24)|~v13_algstr_0(X24)|~v33_algstr_0(X24)|~v3_group_1(X24)|~v5_group_1(X24)|~v4_vectsp_1(X24)|~v5_vectsp_1(X24)|~v2_rlvect_1(X24)|~v3_rlvect_1(X24)|~v4_rlvect_1(X24)|~l6_algstr_0(X24))))&(v4_rlvect_1(X25)|~m1_ec_pf_1(X25,X24)|(v2_struct_0(X24)|v6_struct_0(X24)|~v13_algstr_0(X24)|~v33_algstr_0(X24)|~v3_group_1(X24)|~v5_group_1(X24)|~v4_vectsp_1(X24)|~v5_vectsp_1(X24)|~v2_rlvect_1(X24)|~v3_rlvect_1(X24)|~v4_rlvect_1(X24)|~l6_algstr_0(X24))))&(l6_algstr_0(X25)|~m1_ec_pf_1(X25,X24)|(v2_struct_0(X24)|v6_struct_0(X24)|~v13_algstr_0(X24)|~v33_algstr_0(X24)|~v3_group_1(X24)|~v5_group_1(X24)|~v4_vectsp_1(X24)|~v5_vectsp_1(X24)|~v2_rlvect_1(X24)|~v3_rlvect_1(X24)|~v4_rlvect_1(X24)|~l6_algstr_0(X24)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])])).
cnf(c_0_29, plain, (v6_struct_0(X1)|~l4_struct_0(X1)|~v2_struct_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])).
cnf(c_0_30, plain, (l4_struct_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_25, c_0_26])).
fof(c_0_31, plain, ![X28]:((v36_algstr_0(k8_ring_3(X28))|(v2_struct_0(X28)|v6_struct_0(X28)|~v13_algstr_0(X28)|~v33_algstr_0(X28)|~v3_group_1(X28)|~v5_group_1(X28)|~v2_rlvect_1(X28)|~v3_rlvect_1(X28)|~v4_rlvect_1(X28)|~v4_vectsp_1(X28)|~v5_vectsp_1(X28)|~l6_algstr_0(X28)))&(m1_ec_pf_1(k8_ring_3(X28),X28)|(v2_struct_0(X28)|v6_struct_0(X28)|~v13_algstr_0(X28)|~v33_algstr_0(X28)|~v3_group_1(X28)|~v5_group_1(X28)|~v2_rlvect_1(X28)|~v3_rlvect_1(X28)|~v4_rlvect_1(X28)|~v4_vectsp_1(X28)|~v5_vectsp_1(X28)|~l6_algstr_0(X28)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])).
fof(c_0_32, 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_14(X1,k8_ring_3(X1)))&l6_algstr_0(X1)))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t52_field_16])])).
fof(c_0_33, plain, ![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))=>![X2]:(l6_algstr_0(X2)=>(((((((((((((~v2_struct_0(X2)&~v6_struct_0(X2))&v13_algstr_0(X2))&v33_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v3_group_1(X2))&v5_group_1(X2))&v1_field_4(X2,X1))&v2_field_4(X2,X1))=>(((((((((((((~v2_struct_0(X2)&~v6_struct_0(X2))&v13_algstr_0(X2))&v33_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v4_vectsp_1(X2))&v5_vectsp_1(X2))&v3_group_1(X2))&v5_group_1(X2))&v1_field_4(X2,X1))&v2_field_4(X2,X1))&v2_field_14(X2,X1))))), inference(fof_simplification,[status(thm)],[cc6_field_16])).
cnf(c_0_34, 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_28])).
cnf(c_0_35, plain, (v6_struct_0(X1)|~l6_algstr_0(X1)|~v2_struct_0(X1)), inference(spm,[status(thm)],[c_0_29, c_0_30])).
cnf(c_0_36, 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_31])).
cnf(c_0_37, 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_28])).
cnf(c_0_38, 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_28])).
cnf(c_0_39, 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_28])).
cnf(c_0_40, 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_28])).
cnf(c_0_41, 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_28])).
cnf(c_0_42, 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_28])).
cnf(c_0_43, 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_28])).
cnf(c_0_44, 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_28])).
fof(c_0_45, 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_14(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_32])])])).
fof(c_0_46, plain, ![X30, X31]:((((((((((((((~v2_struct_0(X31)|(v2_struct_0(X31)|v6_struct_0(X31)|~v13_algstr_0(X31)|~v33_algstr_0(X31)|~v2_rlvect_1(X31)|~v3_rlvect_1(X31)|~v4_rlvect_1(X31)|~v4_vectsp_1(X31)|~v5_vectsp_1(X31)|~v3_group_1(X31)|~v5_group_1(X31)|~v1_field_4(X31,X30)|~v2_field_4(X31,X30))|~l6_algstr_0(X31)|(v2_struct_0(X30)|v6_struct_0(X30)|~v8_struct_0(X30)|~v13_algstr_0(X30)|~v33_algstr_0(X30)|~v2_rlvect_1(X30)|~v3_rlvect_1(X30)|~v4_rlvect_1(X30)|~v4_vectsp_1(X30)|~v5_vectsp_1(X30)|~v3_group_1(X30)|~v5_group_1(X30)|~l6_algstr_0(X30)))&(~v6_struct_0(X31)|(v2_struct_0(X31)|v6_struct_0(X31)|~v13_algstr_0(X31)|~v33_algstr_0(X31)|~v2_rlvect_1(X31)|~v3_rlvect_1(X31)|~v4_rlvect_1(X31)|~v4_vectsp_1(X31)|~v5_vectsp_1(X31)|~v3_group_1(X31)|~v5_group_1(X31)|~v1_field_4(X31,X30)|~v2_field_4(X31,X30))|~l6_algstr_0(X31)|(v2_struct_0(X30)|v6_struct_0(X30)|~v8_struct_0(X30)|~v13_algstr_0(X30)|~v33_algstr_0(X30)|~v2_rlvect_1(X30)|~v3_rlvect_1(X30)|~v4_rlvect_1(X30)|~v4_vectsp_1(X30)|~v5_vectsp_1(X30)|~v3_group_1(X30)|~v5_group_1(X30)|~l6_algstr_0(X30))))&(v13_algstr_0(X31)|(v2_struct_0(X31)|v6_struct_0(X31)|~v13_algstr_0(X31)|~v33_algstr_0(X31)|~v2_rlvect_1(X31)|~v3_rlvect_1(X31)|~v4_rlvect_1(X31)|~v4_vectsp_1(X31)|~v5_vectsp_1(X31)|~v3_group_1(X31)|~v5_group_1(X31)|~v1_field_4(X31,X30)|~v2_field_4(X31,X30))|~l6_algstr_0(X31)|(v2_struct_0(X30)|v6_struct_0(X30)|~v8_struct_0(X30)|~v13_algstr_0(X30)|~v33_algstr_0(X30)|~v2_rlvect_1(X30)|~v3_rlvect_1(X30)|~v4_rlvect_1(X30)|~v4_vectsp_1(X30)|~v5_vectsp_1(X30)|~v3_group_1(X30)|~v5_group_1(X30)|~l6_algstr_0(X30))))&(v33_algstr_0(X31)|(v2_struct_0(X31)|v6_struct_0(X31)|~v13_algstr_0(X31)|~v33_algstr_0(X31)|~v2_rlvect_1(X31)|~v3_rlvect_1(X31)|~v4_rlvect_1(X31)|~v4_vectsp_1(X31)|~v5_vectsp_1(X31)|~v3_group_1(X31)|~v5_group_1(X31)|~v1_field_4(X31,X30)|~v2_field_4(X31,X30))|~l6_algstr_0(X31)|(v2_struct_0(X30)|v6_struct_0(X30)|~v8_struct_0(X30)|~v13_algstr_0(X30)|~v33_algstr_0(X30)|~v2_rlvect_1(X30)|~v3_rlvect_1(X30)|~v4_rlvect_1(X30)|~v4_vectsp_1(X30)|~v5_vectsp_1(X30)|~v3_group_1(X30)|~v5_group_1(X30)|~l6_algstr_0(X30))))&(v2_rlvect_1(X31)|(v2_struct_0(X31)|v6_struct_0(X31)|~v13_algstr_0(X31)|~v33_algstr_0(X31)|~v2_rlvect_1(X31)|~v3_rlvect_1(X31)|~v4_rlvect_1(X31)|~v4_vectsp_1(X31)|~v5_vectsp_1(X31)|~v3_group_1(X31)|~v5_group_1(X31)|~v1_field_4(X31,X30)|~v2_field_4(X31,X30))|~l6_algstr_0(X31)|(v2_struct_0(X30)|v6_struct_0(X30)|~v8_struct_0(X30)|~v13_algstr_0(X30)|~v33_algstr_0(X30)|~v2_rlvect_1(X30)|~v3_rlvect_1(X30)|~v4_rlvect_1(X30)|~v4_vectsp_1(X30)|~v5_vectsp_1(X30)|~v3_group_1(X30)|~v5_group_1(X30)|~l6_algstr_0(X30))))&(v3_rlvect_1(X31)|(v2_struct_0(X31)|v6_struct_0(X31)|~v13_algstr_0(X31)|~v33_algstr_0(X31)|~v2_rlvect_1(X31)|~v3_rlvect_1(X31)|~v4_rlvect_1(X31)|~v4_vectsp_1(X31)|~v5_vectsp_1(X31)|~v3_group_1(X31)|~v5_group_1(X31)|~v1_field_4(X31,X30)|~v2_field_4(X31,X30))|~l6_algstr_0(X31)|(v2_struct_0(X30)|v6_struct_0(X30)|~v8_struct_0(X30)|~v13_algstr_0(X30)|~v33_algstr_0(X30)|~v2_rlvect_1(X30)|~v3_rlvect_1(X30)|~v4_rlvect_1(X30)|~v4_vectsp_1(X30)|~v5_vectsp_1(X30)|~v3_group_1(X30)|~v5_group_1(X30)|~l6_algstr_0(X30))))&(v4_rlvect_1(X31)|(v2_struct_0(X31)|v6_struct_0(X31)|~v13_algstr_0(X31)|~v33_algstr_0(X31)|~v2_rlvect_1(X31)|~v3_rlvect_1(X31)|~v4_rlvect_1(X31)|~v4_vectsp_1(X31)|~v5_vectsp_1(X31)|~v3_group_1(X31)|~v5_group_1(X31)|~v1_field_4(X31,X30)|~v2_field_4(X31,X30))|~l6_algstr_0(X31)|(v2_struct_0(X30)|v6_struct_0(X30)|~v8_struct_0(X30)|~v13_algstr_0(X30)|~v33_algstr_0(X30)|~v2_rlvect_1(X30)|~v3_rlvect_1(X30)|~v4_rlvect_1(X30)|~v4_vectsp_1(X30)|~v5_vectsp_1(X30)|~v3_group_1(X30)|~v5_group_1(X30)|~l6_algstr_0(X30))))&(v4_vectsp_1(X31)|(v2_struct_0(X31)|v6_struct_0(X31)|~v13_algstr_0(X31)|~v33_algstr_0(X31)|~v2_rlvect_1(X31)|~v3_rlvect_1(X31)|~v4_rlvect_1(X31)|~v4_vectsp_1(X31)|~v5_vectsp_1(X31)|~v3_group_1(X31)|~v5_group_1(X31)|~v1_field_4(X31,X30)|~v2_field_4(X31,X30))|~l6_algstr_0(X31)|(v2_struct_0(X30)|v6_struct_0(X30)|~v8_struct_0(X30)|~v13_algstr_0(X30)|~v33_algstr_0(X30)|~v2_rlvect_1(X30)|~v3_rlvect_1(X30)|~v4_rlvect_1(X30)|~v4_vectsp_1(X30)|~v5_vectsp_1(X30)|~v3_group_1(X30)|~v5_group_1(X30)|~l6_algstr_0(X30))))&(v5_vectsp_1(X31)|(v2_struct_0(X31)|v6_struct_0(X31)|~v13_algstr_0(X31)|~v33_algstr_0(X31)|~v2_rlvect_1(X31)|~v3_rlvect_1(X31)|~v4_rlvect_1(X31)|~v4_vectsp_1(X31)|~v5_vectsp_1(X31)|~v3_group_1(X31)|~v5_group_1(X31)|~v1_field_4(X31,X30)|~v2_field_4(X31,X30))|~l6_algstr_0(X31)|(v2_struct_0(X30)|v6_struct_0(X30)|~v8_struct_0(X30)|~v13_algstr_0(X30)|~v33_algstr_0(X30)|~v2_rlvect_1(X30)|~v3_rlvect_1(X30)|~v4_rlvect_1(X30)|~v4_vectsp_1(X30)|~v5_vectsp_1(X30)|~v3_group_1(X30)|~v5_group_1(X30)|~l6_algstr_0(X30))))&(v3_group_1(X31)|(v2_struct_0(X31)|v6_struct_0(X31)|~v13_algstr_0(X31)|~v33_algstr_0(X31)|~v2_rlvect_1(X31)|~v3_rlvect_1(X31)|~v4_rlvect_1(X31)|~v4_vectsp_1(X31)|~v5_vectsp_1(X31)|~v3_group_1(X31)|~v5_group_1(X31)|~v1_field_4(X31,X30)|~v2_field_4(X31,X30))|~l6_algstr_0(X31)|(v2_struct_0(X30)|v6_struct_0(X30)|~v8_struct_0(X30)|~v13_algstr_0(X30)|~v33_algstr_0(X30)|~v2_rlvect_1(X30)|~v3_rlvect_1(X30)|~v4_rlvect_1(X30)|~v4_vectsp_1(X30)|~v5_vectsp_1(X30)|~v3_group_1(X30)|~v5_group_1(X30)|~l6_algstr_0(X30))))&(v5_group_1(X31)|(v2_struct_0(X31)|v6_struct_0(X31)|~v13_algstr_0(X31)|~v33_algstr_0(X31)|~v2_rlvect_1(X31)|~v3_rlvect_1(X31)|~v4_rlvect_1(X31)|~v4_vectsp_1(X31)|~v5_vectsp_1(X31)|~v3_group_1(X31)|~v5_group_1(X31)|~v1_field_4(X31,X30)|~v2_field_4(X31,X30))|~l6_algstr_0(X31)|(v2_struct_0(X30)|v6_struct_0(X30)|~v8_struct_0(X30)|~v13_algstr_0(X30)|~v33_algstr_0(X30)|~v2_rlvect_1(X30)|~v3_rlvect_1(X30)|~v4_rlvect_1(X30)|~v4_vectsp_1(X30)|~v5_vectsp_1(X30)|~v3_group_1(X30)|~v5_group_1(X30)|~l6_algstr_0(X30))))&(v1_field_4(X31,X30)|(v2_struct_0(X31)|v6_struct_0(X31)|~v13_algstr_0(X31)|~v33_algstr_0(X31)|~v2_rlvect_1(X31)|~v3_rlvect_1(X31)|~v4_rlvect_1(X31)|~v4_vectsp_1(X31)|~v5_vectsp_1(X31)|~v3_group_1(X31)|~v5_group_1(X31)|~v1_field_4(X31,X30)|~v2_field_4(X31,X30))|~l6_algstr_0(X31)|(v2_struct_0(X30)|v6_struct_0(X30)|~v8_struct_0(X30)|~v13_algstr_0(X30)|~v33_algstr_0(X30)|~v2_rlvect_1(X30)|~v3_rlvect_1(X30)|~v4_rlvect_1(X30)|~v4_vectsp_1(X30)|~v5_vectsp_1(X30)|~v3_group_1(X30)|~v5_group_1(X30)|~l6_algstr_0(X30))))&(v2_field_4(X31,X30)|(v2_struct_0(X31)|v6_struct_0(X31)|~v13_algstr_0(X31)|~v33_algstr_0(X31)|~v2_rlvect_1(X31)|~v3_rlvect_1(X31)|~v4_rlvect_1(X31)|~v4_vectsp_1(X31)|~v5_vectsp_1(X31)|~v3_group_1(X31)|~v5_group_1(X31)|~v1_field_4(X31,X30)|~v2_field_4(X31,X30))|~l6_algstr_0(X31)|(v2_struct_0(X30)|v6_struct_0(X30)|~v8_struct_0(X30)|~v13_algstr_0(X30)|~v33_algstr_0(X30)|~v2_rlvect_1(X30)|~v3_rlvect_1(X30)|~v4_rlvect_1(X30)|~v4_vectsp_1(X30)|~v5_vectsp_1(X30)|~v3_group_1(X30)|~v5_group_1(X30)|~l6_algstr_0(X30))))&(v2_field_14(X31,X30)|(v2_struct_0(X31)|v6_struct_0(X31)|~v13_algstr_0(X31)|~v33_algstr_0(X31)|~v2_rlvect_1(X31)|~v3_rlvect_1(X31)|~v4_rlvect_1(X31)|~v4_vectsp_1(X31)|~v5_vectsp_1(X31)|~v3_group_1(X31)|~v5_group_1(X31)|~v1_field_4(X31,X30)|~v2_field_4(X31,X30))|~l6_algstr_0(X31)|(v2_struct_0(X30)|v6_struct_0(X30)|~v8_struct_0(X30)|~v13_algstr_0(X30)|~v33_algstr_0(X30)|~v2_rlvect_1(X30)|~v3_rlvect_1(X30)|~v4_rlvect_1(X30)|~v4_vectsp_1(X30)|~v5_vectsp_1(X30)|~v3_group_1(X30)|~v5_group_1(X30)|~l6_algstr_0(X30)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])])).
cnf(c_0_47, plain, (v5_vectsp_1(X1)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~l6_algstr_0(X2)|~v5_group_1(X2)|~v3_group_1(X2)|~v5_vectsp_1(X2)|~v4_vectsp_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v33_algstr_0(X2)|~v13_algstr_0(X2)), inference(csr,[status(thm)],[c_0_34, c_0_35])).
cnf(c_0_48, plain, (m1_ec_pf_1(k8_ring_3(X1),X1)|v6_struct_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(csr,[status(thm)],[c_0_36, c_0_35])).
cnf(c_0_49, plain, (v4_vectsp_1(X1)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~l6_algstr_0(X2)|~v5_group_1(X2)|~v3_group_1(X2)|~v5_vectsp_1(X2)|~v4_vectsp_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v33_algstr_0(X2)|~v13_algstr_0(X2)), inference(csr,[status(thm)],[c_0_37, c_0_35])).
cnf(c_0_50, plain, (v4_rlvect_1(X1)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~l6_algstr_0(X2)|~v5_group_1(X2)|~v3_group_1(X2)|~v5_vectsp_1(X2)|~v4_vectsp_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v33_algstr_0(X2)|~v13_algstr_0(X2)), inference(csr,[status(thm)],[c_0_38, c_0_35])).
cnf(c_0_51, plain, (v3_rlvect_1(X1)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~l6_algstr_0(X2)|~v5_group_1(X2)|~v3_group_1(X2)|~v5_vectsp_1(X2)|~v4_vectsp_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v33_algstr_0(X2)|~v13_algstr_0(X2)), inference(csr,[status(thm)],[c_0_39, c_0_35])).
cnf(c_0_52, plain, (v2_rlvect_1(X1)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~l6_algstr_0(X2)|~v5_group_1(X2)|~v3_group_1(X2)|~v5_vectsp_1(X2)|~v4_vectsp_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v33_algstr_0(X2)|~v13_algstr_0(X2)), inference(csr,[status(thm)],[c_0_40, c_0_35])).
cnf(c_0_53, plain, (v33_algstr_0(X1)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~l6_algstr_0(X2)|~v5_group_1(X2)|~v3_group_1(X2)|~v5_vectsp_1(X2)|~v4_vectsp_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v33_algstr_0(X2)|~v13_algstr_0(X2)), inference(csr,[status(thm)],[c_0_41, c_0_35])).
cnf(c_0_54, plain, (v13_algstr_0(X1)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~l6_algstr_0(X2)|~v5_group_1(X2)|~v3_group_1(X2)|~v5_vectsp_1(X2)|~v4_vectsp_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v33_algstr_0(X2)|~v13_algstr_0(X2)), inference(csr,[status(thm)],[c_0_42, c_0_35])).
cnf(c_0_55, plain, (v6_struct_0(X1)|~m1_ec_pf_1(X2,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)|~v6_struct_0(X2)), inference(csr,[status(thm)],[c_0_43, c_0_35])).
cnf(c_0_56, plain, (v3_group_1(X1)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~l6_algstr_0(X2)|~v5_group_1(X2)|~v3_group_1(X2)|~v5_vectsp_1(X2)|~v4_vectsp_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v33_algstr_0(X2)|~v13_algstr_0(X2)), inference(csr,[status(thm)],[c_0_44, c_0_35])).
fof(c_0_57, plain, ![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)],[t51_field_16])).
cnf(c_0_58, 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_14(esk1_0,k8_ring_3(esk1_0))|~l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_59, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_60, negated_conjecture, (v33_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_61, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_62, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_63, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_64, negated_conjecture, (v4_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_65, negated_conjecture, (v5_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_66, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_67, negated_conjecture, (v5_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_68, negated_conjecture, (l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_69, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_70, negated_conjecture, (~v6_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_71, plain, (v2_field_14(X1,X2)|v2_struct_0(X1)|v6_struct_0(X1)|v2_struct_0(X2)|v6_struct_0(X2)|~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,X2)|~v2_field_4(X1,X2)|~l6_algstr_0(X1)|~v8_struct_0(X2)|~v13_algstr_0(X2)|~v33_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v4_vectsp_1(X2)|~v5_vectsp_1(X2)|~v3_group_1(X2)|~v5_group_1(X2)|~l6_algstr_0(X2)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_72, plain, (v5_vectsp_1(k8_ring_3(X1))|v6_struct_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(spm,[status(thm)],[c_0_47, c_0_48])).
cnf(c_0_73, plain, (v4_vectsp_1(k8_ring_3(X1))|v6_struct_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(spm,[status(thm)],[c_0_49, c_0_48])).
cnf(c_0_74, plain, (v4_rlvect_1(k8_ring_3(X1))|v6_struct_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(spm,[status(thm)],[c_0_50, c_0_48])).
cnf(c_0_75, plain, (v3_rlvect_1(k8_ring_3(X1))|v6_struct_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(spm,[status(thm)],[c_0_51, c_0_48])).
cnf(c_0_76, plain, (v2_rlvect_1(k8_ring_3(X1))|v6_struct_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(spm,[status(thm)],[c_0_52, c_0_48])).
cnf(c_0_77, plain, (v33_algstr_0(k8_ring_3(X1))|v6_struct_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(spm,[status(thm)],[c_0_53, c_0_48])).
cnf(c_0_78, plain, (v13_algstr_0(k8_ring_3(X1))|v6_struct_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(spm,[status(thm)],[c_0_54, c_0_48])).
cnf(c_0_79, plain, (v6_struct_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)|~v6_struct_0(k8_ring_3(X1))), inference(spm,[status(thm)],[c_0_55, c_0_48])).
cnf(c_0_80, plain, (v3_group_1(k8_ring_3(X1))|v6_struct_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(spm,[status(thm)],[c_0_56, c_0_48])).
fof(c_0_81, plain, ![X32]:((((((((((((((~v2_struct_0(X32)|(v2_struct_0(X32)|v6_struct_0(X32)|~v8_struct_0(X32)|~v13_algstr_0(X32)|~v33_algstr_0(X32)|~v2_rlvect_1(X32)|~v3_rlvect_1(X32)|~v4_rlvect_1(X32)|~v4_vectsp_1(X32)|~v5_vectsp_1(X32)|~v3_group_1(X32)|~v5_group_1(X32)|~l6_algstr_0(X32)))&(~v6_struct_0(X32)|(v2_struct_0(X32)|v6_struct_0(X32)|~v8_struct_0(X32)|~v13_algstr_0(X32)|~v33_algstr_0(X32)|~v2_rlvect_1(X32)|~v3_rlvect_1(X32)|~v4_rlvect_1(X32)|~v4_vectsp_1(X32)|~v5_vectsp_1(X32)|~v3_group_1(X32)|~v5_group_1(X32)|~l6_algstr_0(X32))))&(v13_algstr_0(X32)|(v2_struct_0(X32)|v6_struct_0(X32)|~v8_struct_0(X32)|~v13_algstr_0(X32)|~v33_algstr_0(X32)|~v2_rlvect_1(X32)|~v3_rlvect_1(X32)|~v4_rlvect_1(X32)|~v4_vectsp_1(X32)|~v5_vectsp_1(X32)|~v3_group_1(X32)|~v5_group_1(X32)|~l6_algstr_0(X32))))&(v33_algstr_0(X32)|(v2_struct_0(X32)|v6_struct_0(X32)|~v8_struct_0(X32)|~v13_algstr_0(X32)|~v33_algstr_0(X32)|~v2_rlvect_1(X32)|~v3_rlvect_1(X32)|~v4_rlvect_1(X32)|~v4_vectsp_1(X32)|~v5_vectsp_1(X32)|~v3_group_1(X32)|~v5_group_1(X32)|~l6_algstr_0(X32))))&(v2_rlvect_1(X32)|(v2_struct_0(X32)|v6_struct_0(X32)|~v8_struct_0(X32)|~v13_algstr_0(X32)|~v33_algstr_0(X32)|~v2_rlvect_1(X32)|~v3_rlvect_1(X32)|~v4_rlvect_1(X32)|~v4_vectsp_1(X32)|~v5_vectsp_1(X32)|~v3_group_1(X32)|~v5_group_1(X32)|~l6_algstr_0(X32))))&(v3_rlvect_1(X32)|(v2_struct_0(X32)|v6_struct_0(X32)|~v8_struct_0(X32)|~v13_algstr_0(X32)|~v33_algstr_0(X32)|~v2_rlvect_1(X32)|~v3_rlvect_1(X32)|~v4_rlvect_1(X32)|~v4_vectsp_1(X32)|~v5_vectsp_1(X32)|~v3_group_1(X32)|~v5_group_1(X32)|~l6_algstr_0(X32))))&(v4_rlvect_1(X32)|(v2_struct_0(X32)|v6_struct_0(X32)|~v8_struct_0(X32)|~v13_algstr_0(X32)|~v33_algstr_0(X32)|~v2_rlvect_1(X32)|~v3_rlvect_1(X32)|~v4_rlvect_1(X32)|~v4_vectsp_1(X32)|~v5_vectsp_1(X32)|~v3_group_1(X32)|~v5_group_1(X32)|~l6_algstr_0(X32))))&(v4_vectsp_1(X32)|(v2_struct_0(X32)|v6_struct_0(X32)|~v8_struct_0(X32)|~v13_algstr_0(X32)|~v33_algstr_0(X32)|~v2_rlvect_1(X32)|~v3_rlvect_1(X32)|~v4_rlvect_1(X32)|~v4_vectsp_1(X32)|~v5_vectsp_1(X32)|~v3_group_1(X32)|~v5_group_1(X32)|~l6_algstr_0(X32))))&(v5_vectsp_1(X32)|(v2_struct_0(X32)|v6_struct_0(X32)|~v8_struct_0(X32)|~v13_algstr_0(X32)|~v33_algstr_0(X32)|~v2_rlvect_1(X32)|~v3_rlvect_1(X32)|~v4_rlvect_1(X32)|~v4_vectsp_1(X32)|~v5_vectsp_1(X32)|~v3_group_1(X32)|~v5_group_1(X32)|~l6_algstr_0(X32))))&(v3_group_1(X32)|(v2_struct_0(X32)|v6_struct_0(X32)|~v8_struct_0(X32)|~v13_algstr_0(X32)|~v33_algstr_0(X32)|~v2_rlvect_1(X32)|~v3_rlvect_1(X32)|~v4_rlvect_1(X32)|~v4_vectsp_1(X32)|~v5_vectsp_1(X32)|~v3_group_1(X32)|~v5_group_1(X32)|~l6_algstr_0(X32))))&(v5_group_1(X32)|(v2_struct_0(X32)|v6_struct_0(X32)|~v8_struct_0(X32)|~v13_algstr_0(X32)|~v33_algstr_0(X32)|~v2_rlvect_1(X32)|~v3_rlvect_1(X32)|~v4_rlvect_1(X32)|~v4_vectsp_1(X32)|~v5_vectsp_1(X32)|~v3_group_1(X32)|~v5_group_1(X32)|~l6_algstr_0(X32))))&(v1_field_4(X32,k8_ring_3(X32))|(v2_struct_0(X32)|v6_struct_0(X32)|~v8_struct_0(X32)|~v13_algstr_0(X32)|~v33_algstr_0(X32)|~v2_rlvect_1(X32)|~v3_rlvect_1(X32)|~v4_rlvect_1(X32)|~v4_vectsp_1(X32)|~v5_vectsp_1(X32)|~v3_group_1(X32)|~v5_group_1(X32)|~l6_algstr_0(X32))))&(v2_field_4(X32,k8_ring_3(X32))|(v2_struct_0(X32)|v6_struct_0(X32)|~v8_struct_0(X32)|~v13_algstr_0(X32)|~v33_algstr_0(X32)|~v2_rlvect_1(X32)|~v3_rlvect_1(X32)|~v4_rlvect_1(X32)|~v4_vectsp_1(X32)|~v5_vectsp_1(X32)|~v3_group_1(X32)|~v5_group_1(X32)|~l6_algstr_0(X32))))&(l6_algstr_0(X32)|(v2_struct_0(X32)|v6_struct_0(X32)|~v8_struct_0(X32)|~v13_algstr_0(X32)|~v33_algstr_0(X32)|~v2_rlvect_1(X32)|~v3_rlvect_1(X32)|~v4_rlvect_1(X32)|~v4_vectsp_1(X32)|~v5_vectsp_1(X32)|~v3_group_1(X32)|~v5_group_1(X32)|~l6_algstr_0(X32)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])).
fof(c_0_82, plain, ![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))=>![X2]:(m1_ec_pf_1(X2,X1)=>v8_struct_0(X2))), inference(fof_simplification,[status(thm)],[cc4_field_16])).
cnf(c_0_83, negated_conjecture, (~v2_field_14(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_58, 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])).
cnf(c_0_84, plain, (v2_field_14(X1,X2)|v6_struct_0(X2)|v6_struct_0(X1)|~v2_field_4(X1,X2)|~v1_field_4(X1,X2)|~l6_algstr_0(X2)|~l6_algstr_0(X1)|~v5_group_1(X2)|~v5_group_1(X1)|~v3_group_1(X2)|~v3_group_1(X1)|~v5_vectsp_1(X2)|~v5_vectsp_1(X1)|~v4_vectsp_1(X2)|~v4_vectsp_1(X1)|~v4_rlvect_1(X2)|~v4_rlvect_1(X1)|~v3_rlvect_1(X2)|~v3_rlvect_1(X1)|~v2_rlvect_1(X2)|~v2_rlvect_1(X1)|~v33_algstr_0(X2)|~v33_algstr_0(X1)|~v13_algstr_0(X2)|~v13_algstr_0(X1)|~v8_struct_0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_71, c_0_35]), c_0_35])).
cnf(c_0_85, negated_conjecture, (v5_vectsp_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_67]), c_0_68]), c_0_66]), c_0_65]), c_0_64]), c_0_63]), c_0_62]), c_0_61]), c_0_60]), c_0_59])]), c_0_70])).
cnf(c_0_86, negated_conjecture, (v4_vectsp_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_67]), c_0_68]), c_0_66]), c_0_65]), c_0_64]), c_0_63]), c_0_62]), c_0_61]), c_0_60]), c_0_59])]), c_0_70])).
cnf(c_0_87, negated_conjecture, (v4_rlvect_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_67]), c_0_68]), c_0_66]), c_0_65]), c_0_64]), c_0_63]), c_0_62]), c_0_61]), c_0_60]), c_0_59])]), c_0_70])).
cnf(c_0_88, negated_conjecture, (v3_rlvect_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_67]), c_0_68]), c_0_66]), c_0_65]), c_0_64]), c_0_63]), c_0_62]), c_0_61]), c_0_60]), c_0_59])]), c_0_70])).
cnf(c_0_89, negated_conjecture, (v2_rlvect_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_67]), c_0_68]), c_0_66]), c_0_65]), c_0_64]), c_0_63]), c_0_62]), c_0_61]), c_0_60]), c_0_59])]), c_0_70])).
cnf(c_0_90, negated_conjecture, (v33_algstr_0(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_67]), c_0_68]), c_0_66]), c_0_65]), c_0_64]), c_0_63]), c_0_62]), c_0_61]), c_0_60]), c_0_59])]), c_0_70])).
cnf(c_0_91, negated_conjecture, (v13_algstr_0(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_67]), c_0_68]), c_0_66]), c_0_65]), c_0_64]), c_0_63]), c_0_62]), c_0_61]), c_0_60]), c_0_59])]), c_0_70])).
cnf(c_0_92, negated_conjecture, (~v6_struct_0(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_67]), c_0_68]), c_0_66]), c_0_65]), c_0_64]), c_0_63]), c_0_62]), c_0_61]), c_0_60]), c_0_59])]), c_0_70])).
cnf(c_0_93, negated_conjecture, (v3_group_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_67]), c_0_68]), c_0_66]), c_0_65]), c_0_64]), c_0_63]), c_0_62]), c_0_61]), c_0_60]), c_0_59])]), c_0_70])).
cnf(c_0_94, plain, (v2_field_4(X1,k8_ring_3(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)), inference(split_conjunct,[status(thm)],[c_0_81])).
fof(c_0_95, plain, ![X26, X27]:(v2_struct_0(X26)|v6_struct_0(X26)|~v8_struct_0(X26)|~v13_algstr_0(X26)|~v33_algstr_0(X26)|~v2_rlvect_1(X26)|~v3_rlvect_1(X26)|~v4_rlvect_1(X26)|~v4_vectsp_1(X26)|~v5_vectsp_1(X26)|~v3_group_1(X26)|~v5_group_1(X26)|~l6_algstr_0(X26)|(~m1_ec_pf_1(X27,X26)|v8_struct_0(X27))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_82])])])).
cnf(c_0_96, negated_conjecture, (~v2_field_4(esk1_0,k8_ring_3(esk1_0))|~v1_field_4(esk1_0,k8_ring_3(esk1_0))|~l6_algstr_0(k8_ring_3(esk1_0))|~v5_group_1(k8_ring_3(esk1_0))|~v8_struct_0(k8_ring_3(esk1_0))), inference(cn,[status(thm)],[inference(rw,[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(spm,[status(thm)],[c_0_83, c_0_84]), c_0_68]), c_0_67]), c_0_66]), c_0_85]), c_0_65]), c_0_86]), c_0_64]), c_0_87]), c_0_63]), c_0_88]), c_0_62]), c_0_89]), c_0_61]), c_0_90]), c_0_60]), c_0_91]), c_0_59])]), c_0_92]), c_0_70]), c_0_93])])).
cnf(c_0_97, plain, (v2_field_4(X1,k8_ring_3(X1))|v6_struct_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)|~v8_struct_0(X1)), inference(csr,[status(thm)],[c_0_94, c_0_35])).
cnf(c_0_98, negated_conjecture, (v8_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_99, plain, (v1_field_4(X1,k8_ring_3(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)), inference(split_conjunct,[status(thm)],[c_0_81])).
cnf(c_0_100, plain, (v2_struct_0(X1)|v6_struct_0(X1)|v8_struct_0(X2)|~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)|~m1_ec_pf_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_95])).
cnf(c_0_101, negated_conjecture, (~v1_field_4(esk1_0,k8_ring_3(esk1_0))|~l6_algstr_0(k8_ring_3(esk1_0))|~v5_group_1(k8_ring_3(esk1_0))|~v8_struct_0(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_96, c_0_97]), c_0_68]), c_0_67]), c_0_66]), c_0_65]), c_0_64]), c_0_63]), c_0_62]), c_0_61]), c_0_60]), c_0_59]), c_0_98])]), c_0_70])).
cnf(c_0_102, plain, (v1_field_4(X1,k8_ring_3(X1))|v6_struct_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)|~v8_struct_0(X1)), inference(csr,[status(thm)],[c_0_99, c_0_35])).
cnf(c_0_103, plain, (v8_struct_0(X1)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~l6_algstr_0(X2)|~v5_group_1(X2)|~v3_group_1(X2)|~v5_vectsp_1(X2)|~v4_vectsp_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v33_algstr_0(X2)|~v13_algstr_0(X2)|~v8_struct_0(X2)), inference(csr,[status(thm)],[c_0_100, c_0_35])).
cnf(c_0_104, 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_28])).
cnf(c_0_105, negated_conjecture, (~l6_algstr_0(k8_ring_3(esk1_0))|~v5_group_1(k8_ring_3(esk1_0))|~v8_struct_0(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_101, c_0_102]), c_0_68]), c_0_67]), c_0_66]), c_0_65]), c_0_64]), c_0_63]), c_0_62]), c_0_61]), c_0_60]), c_0_59]), c_0_98])]), c_0_70])).
cnf(c_0_106, negated_conjecture, (v8_struct_0(X1)|~m1_ec_pf_1(X1,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_98]), c_0_68]), c_0_67]), c_0_66]), c_0_65]), c_0_64]), c_0_63]), c_0_62]), c_0_61]), c_0_60]), c_0_59])]), c_0_70])).
cnf(c_0_107, plain, (l6_algstr_0(X1)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~l6_algstr_0(X2)|~v5_group_1(X2)|~v3_group_1(X2)|~v5_vectsp_1(X2)|~v4_vectsp_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v33_algstr_0(X2)|~v13_algstr_0(X2)), inference(csr,[status(thm)],[c_0_104, c_0_35])).
cnf(c_0_108, negated_conjecture, (~m1_ec_pf_1(k8_ring_3(esk1_0),esk1_0)|~l6_algstr_0(k8_ring_3(esk1_0))|~v5_group_1(k8_ring_3(esk1_0))), inference(spm,[status(thm)],[c_0_105, c_0_106])).
cnf(c_0_109, plain, (l6_algstr_0(k8_ring_3(X1))|v6_struct_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(spm,[status(thm)],[c_0_107, c_0_48])).
cnf(c_0_110, 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_28])).
cnf(c_0_111, negated_conjecture, (~l6_algstr_0(k8_ring_3(esk1_0))|~v5_group_1(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_108, c_0_48]), c_0_68]), c_0_67]), c_0_66]), c_0_65]), c_0_64]), c_0_63]), c_0_62]), c_0_61]), c_0_60]), c_0_59])]), c_0_70])).
cnf(c_0_112, negated_conjecture, (l6_algstr_0(k8_ring_3(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_67]), c_0_68]), c_0_66]), c_0_65]), c_0_64]), c_0_63]), c_0_62]), c_0_61]), c_0_60]), c_0_59])]), c_0_70])).
cnf(c_0_113, plain, (v5_group_1(X1)|v6_struct_0(X2)|~m1_ec_pf_1(X1,X2)|~l6_algstr_0(X2)|~v5_group_1(X2)|~v3_group_1(X2)|~v5_vectsp_1(X2)|~v4_vectsp_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v33_algstr_0(X2)|~v13_algstr_0(X2)), inference(csr,[status(thm)],[c_0_110, c_0_35])).
cnf(c_0_114, negated_conjecture, (~v5_group_1(k8_ring_3(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111, c_0_112])])).
cnf(c_0_115, plain, (v5_group_1(k8_ring_3(X1))|v6_struct_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(spm,[status(thm)],[c_0_113, c_0_48])).
cnf(c_0_116, negated_conjecture, ($false), 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_114, c_0_115]), c_0_68]), c_0_67]), c_0_66]), c_0_65]), c_0_64]), c_0_63]), c_0_62]), c_0_61]), c_0_60]), c_0_59])]), c_0_70]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 117
# Proof object clause steps            : 86
# Proof object formula steps           : 31
# Proof object conjectures             : 36
# Proof object clause conjectures      : 33
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 36
# Proof object initial formulas used   : 12
# Proof object generating inferences   : 32
# Proof object simplifying inferences  : 227
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 12
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 66
# Removed in clause preprocessing      : 25
# Initial clauses in saturation        : 41
# Processed clauses                    : 117
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 117
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 4
# Backward-rewritten                   : 1
# Generated clauses                    : 50
# ...of the previous two non-trivial   : 50
# Contextual simplify-reflections      : 30
# Paramodulations                      : 50
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 0
# Propositional unsat checks           : 0
#    Propositional check models        : 0
#    Propositional check unsatisfiable : 0
#    Propositional clauses             : 0
#    Propositional clauses after purity: 0
#    Propositional unsat core size     : 0
#    Propositional preprocessing time  : 0.000
#    Propositional encoding time       : 0.000
#    Propositional solver time         : 0.000
#    Success case prop preproc time    : 0.000
#    Success case prop encoding time   : 0.000
#    Success case prop solver time     : 0.000
# Current number of processed clauses  : 71
#    Positive orientable unit clauses  : 20
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 47
# Current number of unprocessed clauses: 4
# ...number of literals in the above   : 59
# Current number of archived formulas  : 0
# Current number of archived clauses   : 46
# Clause-clause subsumption calls (NU) : 10616
# Rec. Clause-clause subsumption calls : 268
# Non-unit clause-clause subsumptions  : 34
# Unit Clause-clause subsumption calls : 51
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 10854

# -------------------------------------------------
# User time                : 0.030 s
# System time              : 0.004 s
# Total time               : 0.034 s
# Maximum resident set size: 3424 pages
