# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.030 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(dt_k4_e_trans2, axiom, ![X1, X2]:(((((v7_ordinal1(X1)&v1_int_2(X1))&~(v1_abian(X1)))&v7_ordinal1(X2))&v2_xxreal_0(X2))=>m2_finseq_1(k4_e_trans2(X1,X2),u1_struct_0(k12_polynom3(k1_int_3)))), file('e_trans2/e_trans2__l38_e_trans2', dt_k4_e_trans2)).
fof(l38_e_trans2, conjecture, ![X1]:(((v7_ordinal1(X1)&v1_int_2(X1))&~(v1_abian(X1)))=>![X2]:((v7_ordinal1(X2)&v2_xxreal_0(X2))=>![X3]:(v7_ordinal1(X3)=>(r2_tarski(X3,k2_finseq_1(X2))=>k3_group_4(k12_polynom3(k1_int_3),k4_e_trans2(X1,X2))=k8_group_1(k12_polynom3(k1_int_3),k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X3),X1),k3_group_4(k12_polynom3(k1_int_3),k3_wsierp_1(u1_struct_0(k12_polynom3(k1_int_3)),X3,k4_e_trans2(X1,X2)))))))), file('e_trans2/e_trans2__l38_e_trans2', l38_e_trans2)).
fof(fc16_polynom3, axiom, ![X1]:(((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))&v5_vectsp_1(k12_polynom3(X1)))), file('e_trans2/e_trans2__l38_e_trans2', fc16_polynom3)).
fof(dt_k12_polynom3, axiom, ![X1]:((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))&l6_algstr_0(k12_polynom3(X1)))), file('e_trans2/e_trans2__l38_e_trans2', dt_k12_polynom3)).
fof(l36_e_trans2, axiom, ![X1]:(((v7_ordinal1(X1)&v1_int_2(X1))&~(v1_abian(X1)))=>![X2]:((v7_ordinal1(X2)&v2_xxreal_0(X2))=>![X3]:(v7_ordinal1(X3)=>(r2_tarski(X3,k2_finseq_1(X2))=>((k7_partfun1(u1_struct_0(k12_polynom3(k1_int_3)),k4_e_trans2(X1,X2),X3)=k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X3),X1)&k1_funct_1(k4_e_trans2(X1,X2),X3)=k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X3),X1))&r2_tarski(X3,k4_finseq_1(k4_e_trans2(X1,X2)))))))), file('e_trans2/e_trans2__l38_e_trans2', l36_e_trans2)).
fof(fc14_polynom3, axiom, ![X1]:(((((((((~(v2_struct_0(X1))&v13_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))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))&v3_group_1(k12_polynom3(X1)))), file('e_trans2/e_trans2__l38_e_trans2', fc14_polynom3)).
fof(fc13_polynom3, axiom, ![X1]:((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))&v5_group_1(k12_polynom3(X1)))), file('e_trans2/e_trans2__l38_e_trans2', fc13_polynom3)).
fof(fc11_polynom3, axiom, ![X1]:((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))&v4_rlvect_1(k12_polynom3(X1)))), file('e_trans2/e_trans2__l38_e_trans2', fc11_polynom3)).
fof(fc10_polynom3, axiom, ![X1]:((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))&v3_rlvect_1(k12_polynom3(X1)))), file('e_trans2/e_trans2__l38_e_trans2', fc10_polynom3)).
fof(fc12_polynom3, axiom, ![X1]:((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&v13_algstr_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))), file('e_trans2/e_trans2__l38_e_trans2', fc12_polynom3)).
fof(cc1_vectsp_1, axiom, ![X1]:(l6_algstr_0(X1)=>((~(v2_struct_0(X1))&v5_vectsp_1(X1))=>((~(v2_struct_0(X1))&v1_vectsp_1(X1))&v2_vectsp_1(X1)))), file('e_trans2/e_trans2__l38_e_trans2', cc1_vectsp_1)).
fof(fc4_int_3, axiom, ((((((((~(v6_struct_0(k1_int_3))&v13_algstr_0(k1_int_3))&v3_group_1(k1_int_3))&v5_group_1(k1_int_3))&v2_rlvect_1(k1_int_3))&v3_rlvect_1(k1_int_3))&v4_rlvect_1(k1_int_3))&v5_vectsp_1(k1_int_3))&v1_vectsp_2(k1_int_3)), file('e_trans2/e_trans2__l38_e_trans2', fc4_int_3)).
fof(fc1_int_3, axiom, (~(v2_struct_0(k1_int_3))&v36_algstr_0(k1_int_3)), file('e_trans2/e_trans2__l38_e_trans2', fc1_int_3)).
fof(t3_ratfunc1, axiom, ![X1]:(((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v1_vectsp_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v1_group_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:(m2_finseq_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,k4_ordinal1)=>(r2_tarski(X3,k4_finseq_1(X2))=>k3_group_4(X1,X2)=k8_group_1(X1,k7_partfun1(u1_struct_0(X1),X2,X3),k3_group_4(X1,k3_wsierp_1(u1_struct_0(X1),X3,X2))))))), file('e_trans2/e_trans2__l38_e_trans2', t3_ratfunc1)).
fof(dt_k1_int_3, axiom, l6_algstr_0(k1_int_3), file('e_trans2/e_trans2__l38_e_trans2', dt_k1_int_3)).
fof(t4_subset, axiom, ![X1, X2, X3]:((r2_tarski(X1,X2)&m1_subset_1(X2,k1_zfmisc_1(X3)))=>m1_subset_1(X1,X3)), file('e_trans2/e_trans2__l38_e_trans2', t4_subset)).
fof(dt_k2_finseq_1, axiom, ![X1]:(v7_ordinal1(X1)=>m1_subset_1(k2_finseq_1(X1),k1_zfmisc_1(k4_ordinal1))), file('e_trans2/e_trans2__l38_e_trans2', dt_k2_finseq_1)).
fof(fc3_ring_4, axiom, ![X1]:(((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~(v2_struct_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))&v4_vectsp_1(k12_polynom3(X1)))), file('e_trans2/e_trans2__l38_e_trans2', fc3_ring_4)).
fof(fc3_int_3, axiom, v4_vectsp_1(k1_int_3), file('e_trans2/e_trans2__l38_e_trans2', fc3_int_3)).
fof(cc5_vectsp_1, axiom, ![X1]:(l4_algstr_0(X1)=>((~(v2_struct_0(X1))&v4_vectsp_1(X1))=>(~(v2_struct_0(X1))&v1_group_1(X1)))), file('e_trans2/e_trans2__l38_e_trans2', cc5_vectsp_1)).
fof(dt_l5_algstr_0, axiom, ![X1]:(l5_algstr_0(X1)=>(l4_algstr_0(X1)&l4_struct_0(X1))), file('e_trans2/e_trans2__l38_e_trans2', dt_l5_algstr_0)).
fof(dt_l6_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(l2_algstr_0(X1)&l5_algstr_0(X1))), file('e_trans2/e_trans2__l38_e_trans2', dt_l6_algstr_0)).
fof(c_0_22, plain, ![X1, X2]:(((((v7_ordinal1(X1)&v1_int_2(X1))&~v1_abian(X1))&v7_ordinal1(X2))&v2_xxreal_0(X2))=>m2_finseq_1(k4_e_trans2(X1,X2),u1_struct_0(k12_polynom3(k1_int_3)))), inference(fof_simplification,[status(thm)],[dt_k4_e_trans2])).
fof(c_0_23, negated_conjecture, ~(![X1]:(((v7_ordinal1(X1)&v1_int_2(X1))&~v1_abian(X1))=>![X2]:((v7_ordinal1(X2)&v2_xxreal_0(X2))=>![X3]:(v7_ordinal1(X3)=>(r2_tarski(X3,k2_finseq_1(X2))=>k3_group_4(k12_polynom3(k1_int_3),k4_e_trans2(X1,X2))=k8_group_1(k12_polynom3(k1_int_3),k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X3),X1),k3_group_4(k12_polynom3(k1_int_3),k3_wsierp_1(u1_struct_0(k12_polynom3(k1_int_3)),X3,k4_e_trans2(X1,X2))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[l38_e_trans2])])).
fof(c_0_24, plain, ![X1]:(((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~v2_struct_0(k12_polynom3(X1))&v36_algstr_0(k12_polynom3(X1)))&v5_vectsp_1(k12_polynom3(X1)))), inference(fof_simplification,[status(thm)],[fc16_polynom3])).
fof(c_0_25, plain, ![X1]:((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~v2_struct_0(k12_polynom3(X1))&v36_algstr_0(k12_polynom3(X1)))&l6_algstr_0(k12_polynom3(X1)))), inference(fof_simplification,[status(thm)],[dt_k12_polynom3])).
fof(c_0_26, plain, ![X1]:(((v7_ordinal1(X1)&v1_int_2(X1))&~v1_abian(X1))=>![X2]:((v7_ordinal1(X2)&v2_xxreal_0(X2))=>![X3]:(v7_ordinal1(X3)=>(r2_tarski(X3,k2_finseq_1(X2))=>((k7_partfun1(u1_struct_0(k12_polynom3(k1_int_3)),k4_e_trans2(X1,X2),X3)=k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X3),X1)&k1_funct_1(k4_e_trans2(X1,X2),X3)=k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X3),X1))&r2_tarski(X3,k4_finseq_1(k4_e_trans2(X1,X2)))))))), inference(fof_simplification,[status(thm)],[l36_e_trans2])).
fof(c_0_27, plain, ![X38, X39]:(~v7_ordinal1(X38)|~v1_int_2(X38)|v1_abian(X38)|~v7_ordinal1(X39)|~v2_xxreal_0(X39)|m2_finseq_1(k4_e_trans2(X38,X39),u1_struct_0(k12_polynom3(k1_int_3)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])).
fof(c_0_28, negated_conjecture, (((v7_ordinal1(esk1_0)&v1_int_2(esk1_0))&~v1_abian(esk1_0))&((v7_ordinal1(esk2_0)&v2_xxreal_0(esk2_0))&(v7_ordinal1(esk3_0)&(r2_tarski(esk3_0,k2_finseq_1(esk2_0))&k3_group_4(k12_polynom3(k1_int_3),k4_e_trans2(esk1_0,esk2_0))!=k8_group_1(k12_polynom3(k1_int_3),k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(esk3_0),esk1_0),k3_group_4(k12_polynom3(k1_int_3),k3_wsierp_1(u1_struct_0(k12_polynom3(k1_int_3)),esk3_0,k4_e_trans2(esk1_0,esk2_0)))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])).
fof(c_0_29, plain, ![X1]:(((((((((~v2_struct_0(X1)&v13_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))&l6_algstr_0(X1))=>((~v2_struct_0(k12_polynom3(X1))&v36_algstr_0(k12_polynom3(X1)))&v3_group_1(k12_polynom3(X1)))), inference(fof_simplification,[status(thm)],[fc14_polynom3])).
fof(c_0_30, plain, ![X1]:((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>((~v2_struct_0(k12_polynom3(X1))&v36_algstr_0(k12_polynom3(X1)))&v5_group_1(k12_polynom3(X1)))), inference(fof_simplification,[status(thm)],[fc13_polynom3])).
fof(c_0_31, plain, ![X1]:((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~v2_struct_0(k12_polynom3(X1))&v36_algstr_0(k12_polynom3(X1)))&v4_rlvect_1(k12_polynom3(X1)))), inference(fof_simplification,[status(thm)],[fc11_polynom3])).
fof(c_0_32, plain, ![X1]:((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~v2_struct_0(k12_polynom3(X1))&v36_algstr_0(k12_polynom3(X1)))&v3_rlvect_1(k12_polynom3(X1)))), inference(fof_simplification,[status(thm)],[fc10_polynom3])).
fof(c_0_33, plain, ![X1]:((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~v2_struct_0(k12_polynom3(X1))&v13_algstr_0(k12_polynom3(X1)))&v36_algstr_0(k12_polynom3(X1)))), inference(fof_simplification,[status(thm)],[fc12_polynom3])).
fof(c_0_34, plain, ![X1]:(l6_algstr_0(X1)=>((~v2_struct_0(X1)&v5_vectsp_1(X1))=>((~v2_struct_0(X1)&v1_vectsp_1(X1))&v2_vectsp_1(X1)))), inference(fof_simplification,[status(thm)],[cc1_vectsp_1])).
fof(c_0_35, plain, ![X47]:(((~v2_struct_0(k12_polynom3(X47))|(v2_struct_0(X47)|~v13_algstr_0(X47)|~v2_rlvect_1(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~v5_vectsp_1(X47)|~l6_algstr_0(X47)))&(v36_algstr_0(k12_polynom3(X47))|(v2_struct_0(X47)|~v13_algstr_0(X47)|~v2_rlvect_1(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~v5_vectsp_1(X47)|~l6_algstr_0(X47))))&(v5_vectsp_1(k12_polynom3(X47))|(v2_struct_0(X47)|~v13_algstr_0(X47)|~v2_rlvect_1(X47)|~v3_rlvect_1(X47)|~v4_rlvect_1(X47)|~v5_vectsp_1(X47)|~l6_algstr_0(X47)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])).
fof(c_0_36, plain, ((((((((~v6_struct_0(k1_int_3)&v13_algstr_0(k1_int_3))&v3_group_1(k1_int_3))&v5_group_1(k1_int_3))&v2_rlvect_1(k1_int_3))&v3_rlvect_1(k1_int_3))&v4_rlvect_1(k1_int_3))&v5_vectsp_1(k1_int_3))&v1_vectsp_2(k1_int_3)), inference(fof_simplification,[status(thm)],[fc4_int_3])).
fof(c_0_37, plain, (~v2_struct_0(k1_int_3)&v36_algstr_0(k1_int_3)), inference(fof_simplification,[status(thm)],[fc1_int_3])).
fof(c_0_38, plain, ![X36]:(((~v2_struct_0(k12_polynom3(X36))|(v2_struct_0(X36)|~v13_algstr_0(X36)|~v3_rlvect_1(X36)|~v4_rlvect_1(X36)|~v5_vectsp_1(X36)|~l6_algstr_0(X36)))&(v36_algstr_0(k12_polynom3(X36))|(v2_struct_0(X36)|~v13_algstr_0(X36)|~v3_rlvect_1(X36)|~v4_rlvect_1(X36)|~v5_vectsp_1(X36)|~l6_algstr_0(X36))))&(l6_algstr_0(k12_polynom3(X36))|(v2_struct_0(X36)|~v13_algstr_0(X36)|~v3_rlvect_1(X36)|~v4_rlvect_1(X36)|~v5_vectsp_1(X36)|~l6_algstr_0(X36)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])).
fof(c_0_39, plain, ![X49, X50, X51]:(((k7_partfun1(u1_struct_0(k12_polynom3(k1_int_3)),k4_e_trans2(X49,X50),X51)=k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X51),X49)|~r2_tarski(X51,k2_finseq_1(X50))|~v7_ordinal1(X51)|(~v7_ordinal1(X50)|~v2_xxreal_0(X50))|(~v7_ordinal1(X49)|~v1_int_2(X49)|v1_abian(X49)))&(k1_funct_1(k4_e_trans2(X49,X50),X51)=k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X51),X49)|~r2_tarski(X51,k2_finseq_1(X50))|~v7_ordinal1(X51)|(~v7_ordinal1(X50)|~v2_xxreal_0(X50))|(~v7_ordinal1(X49)|~v1_int_2(X49)|v1_abian(X49))))&(r2_tarski(X51,k4_finseq_1(k4_e_trans2(X49,X50)))|~r2_tarski(X51,k2_finseq_1(X50))|~v7_ordinal1(X51)|(~v7_ordinal1(X50)|~v2_xxreal_0(X50))|(~v7_ordinal1(X49)|~v1_int_2(X49)|v1_abian(X49)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])).
fof(c_0_40, plain, ![X1]:(((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v1_vectsp_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v1_group_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l6_algstr_0(X1))=>![X2]:(m2_finseq_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,k4_ordinal1)=>(r2_tarski(X3,k4_finseq_1(X2))=>k3_group_4(X1,X2)=k8_group_1(X1,k7_partfun1(u1_struct_0(X1),X2,X3),k3_group_4(X1,k3_wsierp_1(u1_struct_0(X1),X3,X2))))))), inference(fof_simplification,[status(thm)],[t3_ratfunc1])).
cnf(c_0_41, plain, (v1_abian(X1)|m2_finseq_1(k4_e_trans2(X1,X2),u1_struct_0(k12_polynom3(k1_int_3)))|~v7_ordinal1(X1)|~v1_int_2(X1)|~v7_ordinal1(X2)|~v2_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_27])).
cnf(c_0_42, negated_conjecture, (v2_xxreal_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_43, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_44, plain, ![X46]:(((~v2_struct_0(k12_polynom3(X46))|(v2_struct_0(X46)|~v13_algstr_0(X46)|~v2_rlvect_1(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v4_vectsp_1(X46)|~v5_vectsp_1(X46)|~v3_group_1(X46)|~l6_algstr_0(X46)))&(v36_algstr_0(k12_polynom3(X46))|(v2_struct_0(X46)|~v13_algstr_0(X46)|~v2_rlvect_1(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v4_vectsp_1(X46)|~v5_vectsp_1(X46)|~v3_group_1(X46)|~l6_algstr_0(X46))))&(v3_group_1(k12_polynom3(X46))|(v2_struct_0(X46)|~v13_algstr_0(X46)|~v2_rlvect_1(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v4_vectsp_1(X46)|~v5_vectsp_1(X46)|~v3_group_1(X46)|~l6_algstr_0(X46)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])).
fof(c_0_45, plain, ![X45]:(((~v2_struct_0(k12_polynom3(X45))|(v2_struct_0(X45)|~v13_algstr_0(X45)|~v2_rlvect_1(X45)|~v3_rlvect_1(X45)|~v4_rlvect_1(X45)|~v5_vectsp_1(X45)|~v5_group_1(X45)|~l6_algstr_0(X45)))&(v36_algstr_0(k12_polynom3(X45))|(v2_struct_0(X45)|~v13_algstr_0(X45)|~v2_rlvect_1(X45)|~v3_rlvect_1(X45)|~v4_rlvect_1(X45)|~v5_vectsp_1(X45)|~v5_group_1(X45)|~l6_algstr_0(X45))))&(v5_group_1(k12_polynom3(X45))|(v2_struct_0(X45)|~v13_algstr_0(X45)|~v2_rlvect_1(X45)|~v3_rlvect_1(X45)|~v4_rlvect_1(X45)|~v5_vectsp_1(X45)|~v5_group_1(X45)|~l6_algstr_0(X45)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])).
fof(c_0_46, plain, ![X43]:(((~v2_struct_0(k12_polynom3(X43))|(v2_struct_0(X43)|~v13_algstr_0(X43)|~v3_rlvect_1(X43)|~v4_rlvect_1(X43)|~v5_vectsp_1(X43)|~l6_algstr_0(X43)))&(v36_algstr_0(k12_polynom3(X43))|(v2_struct_0(X43)|~v13_algstr_0(X43)|~v3_rlvect_1(X43)|~v4_rlvect_1(X43)|~v5_vectsp_1(X43)|~l6_algstr_0(X43))))&(v4_rlvect_1(k12_polynom3(X43))|(v2_struct_0(X43)|~v13_algstr_0(X43)|~v3_rlvect_1(X43)|~v4_rlvect_1(X43)|~v5_vectsp_1(X43)|~l6_algstr_0(X43)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])).
fof(c_0_47, plain, ![X42]:(((~v2_struct_0(k12_polynom3(X42))|(v2_struct_0(X42)|~v13_algstr_0(X42)|~v3_rlvect_1(X42)|~v4_rlvect_1(X42)|~v5_vectsp_1(X42)|~l6_algstr_0(X42)))&(v36_algstr_0(k12_polynom3(X42))|(v2_struct_0(X42)|~v13_algstr_0(X42)|~v3_rlvect_1(X42)|~v4_rlvect_1(X42)|~v5_vectsp_1(X42)|~l6_algstr_0(X42))))&(v3_rlvect_1(k12_polynom3(X42))|(v2_struct_0(X42)|~v13_algstr_0(X42)|~v3_rlvect_1(X42)|~v4_rlvect_1(X42)|~v5_vectsp_1(X42)|~l6_algstr_0(X42)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])).
fof(c_0_48, plain, ![X44]:(((~v2_struct_0(k12_polynom3(X44))|(v2_struct_0(X44)|~v13_algstr_0(X44)|~v3_rlvect_1(X44)|~v4_rlvect_1(X44)|~v5_vectsp_1(X44)|~l6_algstr_0(X44)))&(v13_algstr_0(k12_polynom3(X44))|(v2_struct_0(X44)|~v13_algstr_0(X44)|~v3_rlvect_1(X44)|~v4_rlvect_1(X44)|~v5_vectsp_1(X44)|~l6_algstr_0(X44))))&(v36_algstr_0(k12_polynom3(X44))|(v2_struct_0(X44)|~v13_algstr_0(X44)|~v3_rlvect_1(X44)|~v4_rlvect_1(X44)|~v5_vectsp_1(X44)|~l6_algstr_0(X44)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])).
fof(c_0_49, plain, ![X34]:(((~v2_struct_0(X34)|(v2_struct_0(X34)|~v5_vectsp_1(X34))|~l6_algstr_0(X34))&(v1_vectsp_1(X34)|(v2_struct_0(X34)|~v5_vectsp_1(X34))|~l6_algstr_0(X34)))&(v2_vectsp_1(X34)|(v2_struct_0(X34)|~v5_vectsp_1(X34))|~l6_algstr_0(X34))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])).
cnf(c_0_50, plain, (v5_vectsp_1(k12_polynom3(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_51, plain, (v2_rlvect_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_52, plain, (v4_rlvect_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_53, plain, (v3_rlvect_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_54, plain, (v13_algstr_0(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_55, plain, (v5_vectsp_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_56, plain, (l6_algstr_0(k1_int_3)), inference(split_conjunct,[status(thm)],[dt_k1_int_3])).
cnf(c_0_57, plain, (~v2_struct_0(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_37])).
cnf(c_0_58, plain, (l6_algstr_0(k12_polynom3(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_59, plain, (v2_struct_0(X1)|~v2_struct_0(k12_polynom3(X1))|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_60, plain, (k7_partfun1(u1_struct_0(k12_polynom3(k1_int_3)),k4_e_trans2(X1,X2),X3)=k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X3),X1)|v1_abian(X1)|~r2_tarski(X3,k2_finseq_1(X2))|~v7_ordinal1(X3)|~v7_ordinal1(X2)|~v2_xxreal_0(X2)|~v7_ordinal1(X1)|~v1_int_2(X1)), inference(split_conjunct,[status(thm)],[c_0_39])).
cnf(c_0_61, negated_conjecture, (r2_tarski(esk3_0,k2_finseq_1(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_62, negated_conjecture, (v7_ordinal1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_63, plain, (k1_funct_1(k4_e_trans2(X1,X2),X3)=k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(X3),X1)|v1_abian(X1)|~r2_tarski(X3,k2_finseq_1(X2))|~v7_ordinal1(X3)|~v7_ordinal1(X2)|~v2_xxreal_0(X2)|~v7_ordinal1(X1)|~v1_int_2(X1)), inference(split_conjunct,[status(thm)],[c_0_39])).
fof(c_0_64, plain, ![X55, X56, X57]:(~r2_tarski(X55,X56)|~m1_subset_1(X56,k1_zfmisc_1(X57))|m1_subset_1(X55,X57)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])])).
fof(c_0_65, plain, ![X37]:(~v7_ordinal1(X37)|m1_subset_1(k2_finseq_1(X37),k1_zfmisc_1(k4_ordinal1))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_finseq_1])])).
fof(c_0_66, plain, ![X1]:(((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&l6_algstr_0(X1))=>((~v2_struct_0(k12_polynom3(X1))&v36_algstr_0(k12_polynom3(X1)))&v4_vectsp_1(k12_polynom3(X1)))), inference(fof_simplification,[status(thm)],[fc3_ring_4])).
fof(c_0_67, plain, ![X52, X53, X54]:(v2_struct_0(X52)|~v13_algstr_0(X52)|~v1_vectsp_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v1_group_1(X52)|~v3_group_1(X52)|~v5_group_1(X52)|~l6_algstr_0(X52)|(~m2_finseq_1(X53,u1_struct_0(X52))|(~m1_subset_1(X54,k4_ordinal1)|(~r2_tarski(X54,k4_finseq_1(X53))|k3_group_4(X52,X53)=k8_group_1(X52,k7_partfun1(u1_struct_0(X52),X53,X54),k3_group_4(X52,k3_wsierp_1(u1_struct_0(X52),X54,X53))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])).
cnf(c_0_68, negated_conjecture, (m2_finseq_1(k4_e_trans2(X1,esk2_0),u1_struct_0(k12_polynom3(k1_int_3)))|v1_abian(X1)|~v1_int_2(X1)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_43])])).
cnf(c_0_69, negated_conjecture, (v1_int_2(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_70, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_71, negated_conjecture, (~v1_abian(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_28])).
cnf(c_0_72, plain, (v3_group_1(k12_polynom3(X1))|v2_struct_0(X1)|~v13_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)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_73, plain, (v3_group_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_74, plain, (v4_vectsp_1(k1_int_3)), inference(split_conjunct,[status(thm)],[fc3_int_3])).
cnf(c_0_75, plain, (v5_group_1(k12_polynom3(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_76, plain, (v5_group_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_77, plain, (v4_rlvect_1(k12_polynom3(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_78, plain, (v3_rlvect_1(k12_polynom3(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_79, plain, (v13_algstr_0(k12_polynom3(X1))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_80, plain, (v1_vectsp_1(X1)|v2_struct_0(X1)|~v5_vectsp_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_49])).
cnf(c_0_81, plain, (v5_vectsp_1(k12_polynom3(k1_int_3))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_52]), c_0_53]), c_0_54]), c_0_55]), c_0_56])]), c_0_57])).
cnf(c_0_82, plain, (l6_algstr_0(k12_polynom3(k1_int_3))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_52]), c_0_53]), c_0_54]), c_0_55]), c_0_56])]), c_0_57])).
cnf(c_0_83, plain, (~v2_struct_0(k12_polynom3(k1_int_3))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_52]), c_0_53]), c_0_54]), c_0_55]), c_0_56])]), c_0_57])).
cnf(c_0_84, negated_conjecture, (k7_partfun1(u1_struct_0(k12_polynom3(k1_int_3)),k4_e_trans2(X1,esk2_0),esk3_0)=k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(esk3_0),X1)|v1_abian(X1)|~v1_int_2(X1)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_42]), c_0_62]), c_0_43])])).
cnf(c_0_85, negated_conjecture, (k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(esk3_0),X1)=k1_funct_1(k4_e_trans2(X1,esk2_0),esk3_0)|v1_abian(X1)|~v1_int_2(X1)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_61]), c_0_42]), c_0_62]), c_0_43])])).
cnf(c_0_86, plain, (m1_subset_1(X1,X3)|~r2_tarski(X1,X2)|~m1_subset_1(X2,k1_zfmisc_1(X3))), inference(split_conjunct,[status(thm)],[c_0_64])).
cnf(c_0_87, plain, (m1_subset_1(k2_finseq_1(X1),k1_zfmisc_1(k4_ordinal1))|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_65])).
cnf(c_0_88, plain, (r2_tarski(X1,k4_finseq_1(k4_e_trans2(X2,X3)))|v1_abian(X2)|~r2_tarski(X1,k2_finseq_1(X3))|~v7_ordinal1(X1)|~v7_ordinal1(X3)|~v2_xxreal_0(X3)|~v7_ordinal1(X2)|~v1_int_2(X2)), inference(split_conjunct,[status(thm)],[c_0_39])).
fof(c_0_89, plain, ![X1]:(l4_algstr_0(X1)=>((~v2_struct_0(X1)&v4_vectsp_1(X1))=>(~v2_struct_0(X1)&v1_group_1(X1)))), inference(fof_simplification,[status(thm)],[cc5_vectsp_1])).
fof(c_0_90, plain, ![X48]:(((~v2_struct_0(k12_polynom3(X48))|(v2_struct_0(X48)|~v13_algstr_0(X48)|~v3_rlvect_1(X48)|~v4_rlvect_1(X48)|~v4_vectsp_1(X48)|~v5_vectsp_1(X48)|~l6_algstr_0(X48)))&(v36_algstr_0(k12_polynom3(X48))|(v2_struct_0(X48)|~v13_algstr_0(X48)|~v3_rlvect_1(X48)|~v4_rlvect_1(X48)|~v4_vectsp_1(X48)|~v5_vectsp_1(X48)|~l6_algstr_0(X48))))&(v4_vectsp_1(k12_polynom3(X48))|(v2_struct_0(X48)|~v13_algstr_0(X48)|~v3_rlvect_1(X48)|~v4_rlvect_1(X48)|~v4_vectsp_1(X48)|~v5_vectsp_1(X48)|~l6_algstr_0(X48)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])).
cnf(c_0_91, plain, (v2_struct_0(X1)|k3_group_4(X1,X2)=k8_group_1(X1,k7_partfun1(u1_struct_0(X1),X2,X3),k3_group_4(X1,k3_wsierp_1(u1_struct_0(X1),X3,X2)))|~v13_algstr_0(X1)|~v1_vectsp_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v1_group_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l6_algstr_0(X1)|~m2_finseq_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,k4_ordinal1)|~r2_tarski(X3,k4_finseq_1(X2))), inference(split_conjunct,[status(thm)],[c_0_67])).
cnf(c_0_92, negated_conjecture, (m2_finseq_1(k4_e_trans2(esk1_0,esk2_0),u1_struct_0(k12_polynom3(k1_int_3)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_93, plain, (v3_group_1(k12_polynom3(k1_int_3))), 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(spm,[status(thm)],[c_0_72, c_0_73]), c_0_51]), c_0_52]), c_0_53]), c_0_54]), c_0_74]), c_0_55]), c_0_56])]), c_0_57])).
cnf(c_0_94, plain, (v5_group_1(k12_polynom3(k1_int_3))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_76]), c_0_51]), c_0_52]), c_0_53]), c_0_54]), c_0_55]), c_0_56])]), c_0_57])).
cnf(c_0_95, plain, (v4_rlvect_1(k12_polynom3(k1_int_3))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_52]), c_0_53]), c_0_54]), c_0_55]), c_0_56])]), c_0_57])).
cnf(c_0_96, plain, (v3_rlvect_1(k12_polynom3(k1_int_3))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_52]), c_0_53]), c_0_54]), c_0_55]), c_0_56])]), c_0_57])).
cnf(c_0_97, plain, (v13_algstr_0(k12_polynom3(k1_int_3))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_52]), c_0_53]), c_0_54]), c_0_55]), c_0_56])]), c_0_57])).
cnf(c_0_98, plain, (v1_vectsp_1(k12_polynom3(k1_int_3))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_81]), c_0_82])]), c_0_83])).
cnf(c_0_99, negated_conjecture, (k7_partfun1(u1_struct_0(k12_polynom3(k1_int_3)),k4_e_trans2(esk1_0,esk2_0),esk3_0)=k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(esk3_0),esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_100, negated_conjecture, (k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(esk3_0),esk1_0)=k1_funct_1(k4_e_trans2(esk1_0,esk2_0),esk3_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_101, plain, (m1_subset_1(X1,k4_ordinal1)|~r2_tarski(X1,k2_finseq_1(X2))|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_86, c_0_87])).
cnf(c_0_102, negated_conjecture, (r2_tarski(esk3_0,k4_finseq_1(k4_e_trans2(X1,esk2_0)))|v1_abian(X1)|~v1_int_2(X1)|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_61]), c_0_42]), c_0_43]), c_0_62])])).
cnf(c_0_103, negated_conjecture, (k3_group_4(k12_polynom3(k1_int_3),k4_e_trans2(esk1_0,esk2_0))!=k8_group_1(k12_polynom3(k1_int_3),k2_binom(k12_polynom3(k1_int_3),k2_e_trans2(esk3_0),esk1_0),k3_group_4(k12_polynom3(k1_int_3),k3_wsierp_1(u1_struct_0(k12_polynom3(k1_int_3)),esk3_0,k4_e_trans2(esk1_0,esk2_0))))), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_104, plain, ![X35]:((~v2_struct_0(X35)|(v2_struct_0(X35)|~v4_vectsp_1(X35))|~l4_algstr_0(X35))&(v1_group_1(X35)|(v2_struct_0(X35)|~v4_vectsp_1(X35))|~l4_algstr_0(X35))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])])).
cnf(c_0_105, plain, (v4_vectsp_1(k12_polynom3(X1))|v2_struct_0(X1)|~v13_algstr_0(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_90])).
cnf(c_0_106, negated_conjecture, (k8_group_1(k12_polynom3(k1_int_3),k7_partfun1(u1_struct_0(k12_polynom3(k1_int_3)),k4_e_trans2(esk1_0,esk2_0),X1),k3_group_4(k12_polynom3(k1_int_3),k3_wsierp_1(u1_struct_0(k12_polynom3(k1_int_3)),X1,k4_e_trans2(esk1_0,esk2_0))))=k3_group_4(k12_polynom3(k1_int_3),k4_e_trans2(esk1_0,esk2_0))|~m1_subset_1(X1,k4_ordinal1)|~v1_group_1(k12_polynom3(k1_int_3))|~r2_tarski(X1,k4_finseq_1(k4_e_trans2(esk1_0,esk2_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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]), c_0_97]), c_0_98]), c_0_82])]), c_0_83])).
cnf(c_0_107, negated_conjecture, (k7_partfun1(u1_struct_0(k12_polynom3(k1_int_3)),k4_e_trans2(esk1_0,esk2_0),esk3_0)=k1_funct_1(k4_e_trans2(esk1_0,esk2_0),esk3_0)), inference(rw,[status(thm)],[c_0_99, c_0_100])).
cnf(c_0_108, negated_conjecture, (m1_subset_1(esk3_0,k4_ordinal1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_61]), c_0_43])])).
cnf(c_0_109, negated_conjecture, (r2_tarski(esk3_0,k4_finseq_1(k4_e_trans2(esk1_0,esk2_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_69]), c_0_70])]), c_0_71])).
cnf(c_0_110, negated_conjecture, (k8_group_1(k12_polynom3(k1_int_3),k1_funct_1(k4_e_trans2(esk1_0,esk2_0),esk3_0),k3_group_4(k12_polynom3(k1_int_3),k3_wsierp_1(u1_struct_0(k12_polynom3(k1_int_3)),esk3_0,k4_e_trans2(esk1_0,esk2_0))))!=k3_group_4(k12_polynom3(k1_int_3),k4_e_trans2(esk1_0,esk2_0))), inference(rw,[status(thm)],[c_0_103, c_0_100])).
cnf(c_0_111, plain, (v1_group_1(X1)|v2_struct_0(X1)|~v4_vectsp_1(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_104])).
cnf(c_0_112, plain, (v4_vectsp_1(k12_polynom3(k1_int_3))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_52]), c_0_53]), c_0_54]), c_0_74]), c_0_55]), c_0_56])]), c_0_57])).
cnf(c_0_113, negated_conjecture, (~v1_group_1(k12_polynom3(k1_int_3))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_107]), c_0_108]), c_0_109])]), c_0_110])).
cnf(c_0_114, plain, (v1_group_1(k12_polynom3(k1_int_3))|~l4_algstr_0(k12_polynom3(k1_int_3))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_112]), c_0_83])).
fof(c_0_115, plain, ![X40]:((l4_algstr_0(X40)|~l5_algstr_0(X40))&(l4_struct_0(X40)|~l5_algstr_0(X40))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l5_algstr_0])])])).
cnf(c_0_116, negated_conjecture, (~l4_algstr_0(k12_polynom3(k1_int_3))), inference(spm,[status(thm)],[c_0_113, c_0_114])).
cnf(c_0_117, plain, (l4_algstr_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_115])).
fof(c_0_118, plain, ![X41]:((l2_algstr_0(X41)|~l6_algstr_0(X41))&(l5_algstr_0(X41)|~l6_algstr_0(X41))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
cnf(c_0_119, negated_conjecture, (~l5_algstr_0(k12_polynom3(k1_int_3))), inference(spm,[status(thm)],[c_0_116, c_0_117])).
cnf(c_0_120, plain, (l5_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_118])).
cnf(c_0_121, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_120]), c_0_82])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 122
# Proof object clause steps            : 66
# Proof object formula steps           : 56
# Proof object conjectures             : 27
# Proof object clause conjectures      : 24
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 38
# Proof object initial formulas used   : 22
# Proof object generating inferences   : 26
# Proof object simplifying inferences  : 110
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 22
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 61
# Removed in clause preprocessing      : 2
# Initial clauses in saturation        : 59
# Processed clauses                    : 186
# ...of these trivial                  : 0
# ...subsumed                          : 17
# ...remaining for further processing  : 169
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 11
# Generated clauses                    : 83
# ...of the previous two non-trivial   : 93
# Contextual simplify-reflections      : 82
# Paramodulations                      : 83
# 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  : 113
#    Positive orientable unit clauses  : 41
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 9
#    Non-unit-clauses                  : 63
# Current number of unprocessed clauses: 8
# ...number of literals in the above   : 80
# Current number of archived formulas  : 0
# Current number of archived clauses   : 56
# Clause-clause subsumption calls (NU) : 6014
# Rec. Clause-clause subsumption calls : 534
# Non-unit clause-clause subsumptions  : 99
# Unit Clause-clause subsumption calls : 157
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 4
# BW rewrite match successes           : 2
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 9408

# -------------------------------------------------
# User time                : 0.040 s
# System time              : 0.004 s
# Total time               : 0.045 s
# Maximum resident set size: 3436 pages
