# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_AE_CS_SP_PS_S0V
# and selection function PSelectComplexExceptRRHorn.
#
# Preprocessing time       : 0.017 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
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_trans1/e_trans1__l67_e_trans1', dt_k12_polynom3)).
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_trans1/e_trans1__l67_e_trans1', fc3_ring_4)).
fof(rc1_polynom5, axiom, ![X1]:(((~(v2_struct_0(X1))&v1_group_1(X1))&l6_algstr_0(X1))=>?[X2]:(((((((((m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))&v1_relat_1(X2))&v4_relat_1(X2,k4_ordinal1))&v5_relat_1(X2,u1_struct_0(X1)))&v1_funct_1(X2))&~(v1_xboole_0(X2)))&v1_partfun1(X2,k4_ordinal1))&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&v1_polynom5(X2,X1))), file('e_trans1/e_trans1__l67_e_trans1', rc1_polynom5)).
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_trans1/e_trans1__l67_e_trans1', fc4_int_3)).
fof(fc1_int_3, axiom, (~(v2_struct_0(k1_int_3))&v36_algstr_0(k1_int_3)), file('e_trans1/e_trans1__l67_e_trans1', fc1_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_trans1/e_trans1__l67_e_trans1', cc5_vectsp_1)).
fof(dt_k1_int_3, axiom, l6_algstr_0(k1_int_3), file('e_trans1/e_trans1__l67_e_trans1', dt_k1_int_3)).
fof(fc3_int_3, axiom, v4_vectsp_1(k1_int_3), file('e_trans1/e_trans1__l67_e_trans1', fc3_int_3)).
fof(fc2_ring_4, 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)))&v2_ring_4(k12_polynom3(X1),X1))), file('e_trans1/e_trans1__l67_e_trans1', fc2_ring_4)).
fof(cc8_relat_1, axiom, ![X1]:(v1_xboole_0(X1)=>![X2]:((v1_relat_1(X2)&v5_relat_1(X2,X1))=>((v1_xboole_0(X2)&v1_relat_1(X2))&v5_relat_1(X2,X1)))), file('e_trans1/e_trans1__l67_e_trans1', cc8_relat_1)).
fof(dt_l5_algstr_0, axiom, ![X1]:(l5_algstr_0(X1)=>(l4_algstr_0(X1)&l4_struct_0(X1))), file('e_trans1/e_trans1__l67_e_trans1', dt_l5_algstr_0)).
fof(fc1_ring_4, axiom, ![X1, X2]:(((((~(v2_struct_0(X1))&l2_struct_0(X1))&~(v2_struct_0(X2)))&v2_ring_4(X2,X1))&l1_struct_0(X2))=>v1_ring_4(u1_struct_0(X2),X1)), file('e_trans1/e_trans1__l67_e_trans1', fc1_ring_4)).
fof(dt_l6_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(l2_algstr_0(X1)&l5_algstr_0(X1))), file('e_trans1/e_trans1__l67_e_trans1', dt_l6_algstr_0)).
fof(redefinition_m1_ring_4, axiom, ![X1, X2]:((((~(v2_struct_0(X1))&l2_struct_0(X1))&~(v1_xboole_0(X2)))&v1_ring_4(X2,X1))=>![X3]:(m1_ring_4(X3,X1,X2)<=>m1_subset_1(X3,X2))), file('e_trans1/e_trans1__l67_e_trans1', redefinition_m1_ring_4)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('e_trans1/e_trans1__l67_e_trans1', t2_subset)).
fof(dt_k10_subset_1, axiom, ![X1, X2]:m1_subset_1(k10_subset_1(X1,X2),X2), file('e_trans1/e_trans1__l67_e_trans1', dt_k10_subset_1)).
fof(l67_e_trans1, conjecture, ![X1]:((v1_xreal_0(X1)&v2_xxreal_0(X1))=>![X2]:(m1_ring_4(X2,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))=>r2_fdiff_1(k9_e_trans1(X2),k2_rcomp_1(k5_numbers,X1)))), file('e_trans1/e_trans1__l67_e_trans1', l67_e_trans1)).
fof(dt_l4_struct_0, axiom, ![X1]:(l4_struct_0(X1)=>(l2_struct_0(X1)&l3_struct_0(X1))), file('e_trans1/e_trans1__l67_e_trans1', dt_l4_struct_0)).
fof(rd4_relat_1, axiom, ![X1]:(v1_relat_1(X1)=>k5_relat_1(X1,k9_xtuple_0(X1))=X1), file('e_trans1/e_trans1__l67_e_trans1', rd4_relat_1)).
fof(redefinition_k1_relset_1, axiom, ![X1, X2]:((v1_relat_1(X2)&v4_relat_1(X2,X1))=>k1_relset_1(X1,X2)=k9_xtuple_0(X2)), file('e_trans1/e_trans1__l67_e_trans1', redefinition_k1_relset_1)).
fof(l62_e_trans1, axiom, ![X1]:(m1_ring_4(X1,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))=>(k1_relset_1(k1_numbers,k9_e_trans1(X1))=k1_numbers&k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k22_sin_cos),k9_e_trans1(X1)))=k1_numbers)), file('e_trans1/e_trans1__l67_e_trans1', l62_e_trans1)).
fof(cc1_relset_1, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>v1_relat_1(X3)), file('e_trans1/e_trans1__l67_e_trans1', cc1_relset_1)).
fof(dt_k9_e_trans1, axiom, ![X1]:(m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))=>((v1_funct_1(k9_e_trans1(X1))&v1_funct_2(k9_e_trans1(X1),k1_numbers,k1_numbers))&m1_subset_1(k9_e_trans1(X1),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))), file('e_trans1/e_trans1__l67_e_trans1', dt_k9_e_trans1)).
fof(cc2_relset_1, axiom, ![X1, X2, X3]:(m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))=>(v4_relat_1(X3,X1)&v5_relat_1(X3,X2))), file('e_trans1/e_trans1__l67_e_trans1', cc2_relset_1)).
fof(rd1_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>k10_subset_1(X1,k1_numbers)=X1), file('e_trans1/e_trans1__l67_e_trans1', rd1_xreal_0)).
fof(fc1_numbers, axiom, ~(v1_xboole_0(k1_numbers)), file('e_trans1/e_trans1__l67_e_trans1', fc1_numbers)).
fof(d6_fdiff_1, axiom, ![X1]:((v1_funct_1(X1)&m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))=>![X2]:(r2_fdiff_1(X1,X2)<=>(r1_tarski(X2,k1_relset_1(k1_numbers,X1))&![X3]:(v1_xreal_0(X3)=>(r2_hidden(X3,X2)=>r1_fdiff_1(k2_partfun1(k1_numbers,k1_numbers,X1,X2),X3)))))), file('e_trans1/e_trans1__l67_e_trans1', d6_fdiff_1)).
fof(redefinition_k2_partfun1, axiom, ![X1, X2, X3, X4]:((v1_funct_1(X3)&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))=>k2_partfun1(X1,X2,X3,X4)=k5_relat_1(X3,X4)), file('e_trans1/e_trans1__l67_e_trans1', redefinition_k2_partfun1)).
fof(l64_e_trans1, axiom, ![X1]:(m1_ring_4(X1,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))=>r2_fdiff_1(k9_e_trans1(X1),k1_numbers)), file('e_trans1/e_trans1__l67_e_trans1', l64_e_trans1)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('e_trans1/e_trans1__l67_e_trans1', redefinition_r2_tarski)).
fof(t9_fdiff_1, axiom, ![X1]:((v3_rcomp_1(X1)&m1_subset_1(X1,k1_zfmisc_1(k1_numbers)))=>![X2]:((v1_funct_1(X2)&m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))=>(r2_fdiff_1(X2,X1)<=>(r1_tarski(X1,k1_relset_1(k1_numbers,X2))&![X3]:(v1_xreal_0(X3)=>(r2_hidden(X3,X1)=>r1_fdiff_1(X2,X3))))))), file('e_trans1/e_trans1__l67_e_trans1', t9_fdiff_1)).
fof(dt_l2_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>l1_struct_0(X1)), file('e_trans1/e_trans1__l67_e_trans1', dt_l2_struct_0)).
fof(t3_subset, axiom, ![X1, X2]:(m1_subset_1(X1,k1_zfmisc_1(X2))<=>r1_tarski(X1,X2)), file('e_trans1/e_trans1__l67_e_trans1', t3_subset)).
fof(fc1_rcomp_1, axiom, ![X1, X2]:((v1_xreal_0(X1)&v1_xreal_0(X2))=>v3_rcomp_1(k4_xxreal_1(X1,X2))), file('e_trans1/e_trans1__l67_e_trans1', fc1_rcomp_1)).
fof(redefinition_k2_rcomp_1, axiom, ![X1, X2]:((v1_xxreal_0(X1)&v1_xxreal_0(X2))=>k2_rcomp_1(X1,X2)=k4_xxreal_1(X1,X2)), file('e_trans1/e_trans1__l67_e_trans1', redefinition_k2_rcomp_1)).
fof(cc4_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xxreal_0(X1)), file('e_trans1/e_trans1__l67_e_trans1', cc4_xreal_0)).
fof(cc2_xreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xreal_0(X1)), file('e_trans1/e_trans1__l67_e_trans1', cc2_xreal_0)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1), file('e_trans1/e_trans1__l67_e_trans1', fc8_ordinal1)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('e_trans1/e_trans1__l67_e_trans1', redefinition_k5_numbers)).
fof(dt_k2_rcomp_1, axiom, ![X1, X2]:((v1_xxreal_0(X1)&v1_xxreal_0(X2))=>m1_subset_1(k2_rcomp_1(X1,X2),k1_zfmisc_1(k1_numbers))), file('e_trans1/e_trans1__l67_e_trans1', dt_k2_rcomp_1)).
fof(c_0_40, 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_41, 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_42, plain, ![X1]:(((~v2_struct_0(X1)&v1_group_1(X1))&l6_algstr_0(X1))=>?[X2]:(((((((((m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X1))))&v1_relat_1(X2))&v4_relat_1(X2,k4_ordinal1))&v5_relat_1(X2,u1_struct_0(X1)))&v1_funct_1(X2))&~v1_xboole_0(X2))&v1_partfun1(X2,k4_ordinal1))&v1_funct_2(X2,k4_ordinal1,u1_struct_0(X1)))&v1_polynom1(X2,X1))&v1_polynom5(X2,X1))), inference(fof_simplification,[status(thm)],[rc1_polynom5])).
fof(c_0_43, plain, ![X84]:(((~v2_struct_0(k12_polynom3(X84))|(v2_struct_0(X84)|~v13_algstr_0(X84)|~v3_rlvect_1(X84)|~v4_rlvect_1(X84)|~v5_vectsp_1(X84)|~l6_algstr_0(X84)))&(v36_algstr_0(k12_polynom3(X84))|(v2_struct_0(X84)|~v13_algstr_0(X84)|~v3_rlvect_1(X84)|~v4_rlvect_1(X84)|~v5_vectsp_1(X84)|~l6_algstr_0(X84))))&(l6_algstr_0(k12_polynom3(X84))|(v2_struct_0(X84)|~v13_algstr_0(X84)|~v3_rlvect_1(X84)|~v4_rlvect_1(X84)|~v5_vectsp_1(X84)|~l6_algstr_0(X84)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])).
fof(c_0_44, 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_45, plain, (~v2_struct_0(k1_int_3)&v36_algstr_0(k1_int_3)), inference(fof_simplification,[status(thm)],[fc1_int_3])).
fof(c_0_46, 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_47, plain, ![X97]:(((~v2_struct_0(k12_polynom3(X97))|(v2_struct_0(X97)|~v13_algstr_0(X97)|~v3_rlvect_1(X97)|~v4_rlvect_1(X97)|~v4_vectsp_1(X97)|~v5_vectsp_1(X97)|~l6_algstr_0(X97)))&(v36_algstr_0(k12_polynom3(X97))|(v2_struct_0(X97)|~v13_algstr_0(X97)|~v3_rlvect_1(X97)|~v4_rlvect_1(X97)|~v4_vectsp_1(X97)|~v5_vectsp_1(X97)|~l6_algstr_0(X97))))&(v4_vectsp_1(k12_polynom3(X97))|(v2_struct_0(X97)|~v13_algstr_0(X97)|~v3_rlvect_1(X97)|~v4_rlvect_1(X97)|~v4_vectsp_1(X97)|~v5_vectsp_1(X97)|~l6_algstr_0(X97)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])).
fof(c_0_48, plain, ![X101]:((((((((((m1_subset_1(esk4_1(X101),k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1,u1_struct_0(X101))))|(v2_struct_0(X101)|~v1_group_1(X101)|~l6_algstr_0(X101)))&(v1_relat_1(esk4_1(X101))|(v2_struct_0(X101)|~v1_group_1(X101)|~l6_algstr_0(X101))))&(v4_relat_1(esk4_1(X101),k4_ordinal1)|(v2_struct_0(X101)|~v1_group_1(X101)|~l6_algstr_0(X101))))&(v5_relat_1(esk4_1(X101),u1_struct_0(X101))|(v2_struct_0(X101)|~v1_group_1(X101)|~l6_algstr_0(X101))))&(v1_funct_1(esk4_1(X101))|(v2_struct_0(X101)|~v1_group_1(X101)|~l6_algstr_0(X101))))&(~v1_xboole_0(esk4_1(X101))|(v2_struct_0(X101)|~v1_group_1(X101)|~l6_algstr_0(X101))))&(v1_partfun1(esk4_1(X101),k4_ordinal1)|(v2_struct_0(X101)|~v1_group_1(X101)|~l6_algstr_0(X101))))&(v1_funct_2(esk4_1(X101),k4_ordinal1,u1_struct_0(X101))|(v2_struct_0(X101)|~v1_group_1(X101)|~l6_algstr_0(X101))))&(v1_polynom1(esk4_1(X101),X101)|(v2_struct_0(X101)|~v1_group_1(X101)|~l6_algstr_0(X101))))&(v1_polynom5(esk4_1(X101),X101)|(v2_struct_0(X101)|~v1_group_1(X101)|~l6_algstr_0(X101)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])])).
cnf(c_0_49, 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_43])).
cnf(c_0_50, plain, (l6_algstr_0(k1_int_3)), inference(split_conjunct,[status(thm)],[dt_k1_int_3])).
cnf(c_0_51, plain, (v5_vectsp_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_52, plain, (v4_rlvect_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_53, plain, (v3_rlvect_1(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_54, plain, (v13_algstr_0(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_55, plain, (~v2_struct_0(k1_int_3)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_56, 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_43])).
fof(c_0_57, plain, ![X74]:((~v2_struct_0(X74)|(v2_struct_0(X74)|~v4_vectsp_1(X74))|~l4_algstr_0(X74))&(v1_group_1(X74)|(v2_struct_0(X74)|~v4_vectsp_1(X74))|~l4_algstr_0(X74))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])).
cnf(c_0_58, 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_47])).
cnf(c_0_59, plain, (v4_vectsp_1(k1_int_3)), inference(split_conjunct,[status(thm)],[fc3_int_3])).
fof(c_0_60, 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)))&v2_ring_4(k12_polynom3(X1),X1))), inference(fof_simplification,[status(thm)],[fc2_ring_4])).
fof(c_0_61, plain, ![X75, X76]:(((v1_xboole_0(X76)|(~v1_relat_1(X76)|~v5_relat_1(X76,X75))|~v1_xboole_0(X75))&(v1_relat_1(X76)|(~v1_relat_1(X76)|~v5_relat_1(X76,X75))|~v1_xboole_0(X75)))&(v5_relat_1(X76,X75)|(~v1_relat_1(X76)|~v5_relat_1(X76,X75))|~v1_xboole_0(X75))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_relat_1])])])])).
cnf(c_0_62, plain, (v5_relat_1(esk4_1(X1),u1_struct_0(X1))|v2_struct_0(X1)|~v1_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_63, 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_49, c_0_50]), c_0_51]), c_0_52]), c_0_53]), c_0_54])]), c_0_55])).
cnf(c_0_64, 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_56, c_0_51]), c_0_50]), c_0_52]), c_0_53]), c_0_54])]), c_0_55])).
cnf(c_0_65, plain, (v1_relat_1(esk4_1(X1))|v2_struct_0(X1)|~v1_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_66, plain, (v1_group_1(X1)|v2_struct_0(X1)|~v4_vectsp_1(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_57])).
cnf(c_0_67, 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_58, c_0_50]), c_0_51]), c_0_52]), c_0_53]), c_0_54]), c_0_59])]), c_0_55])).
fof(c_0_68, plain, ![X90]:((l4_algstr_0(X90)|~l5_algstr_0(X90))&(l4_struct_0(X90)|~l5_algstr_0(X90))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l5_algstr_0])])])).
fof(c_0_69, plain, ![X1, X2]:(((((~v2_struct_0(X1)&l2_struct_0(X1))&~v2_struct_0(X2))&v2_ring_4(X2,X1))&l1_struct_0(X2))=>v1_ring_4(u1_struct_0(X2),X1)), inference(fof_simplification,[status(thm)],[fc1_ring_4])).
fof(c_0_70, plain, ![X96]:(((~v2_struct_0(k12_polynom3(X96))|(v2_struct_0(X96)|~v13_algstr_0(X96)|~v3_rlvect_1(X96)|~v4_rlvect_1(X96)|~v5_vectsp_1(X96)|~l6_algstr_0(X96)))&(v36_algstr_0(k12_polynom3(X96))|(v2_struct_0(X96)|~v13_algstr_0(X96)|~v3_rlvect_1(X96)|~v4_rlvect_1(X96)|~v5_vectsp_1(X96)|~l6_algstr_0(X96))))&(v2_ring_4(k12_polynom3(X96),X96)|(v2_struct_0(X96)|~v13_algstr_0(X96)|~v3_rlvect_1(X96)|~v4_rlvect_1(X96)|~v5_vectsp_1(X96)|~l6_algstr_0(X96)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])).
cnf(c_0_71, plain, (v1_xboole_0(X1)|~v1_relat_1(X1)|~v5_relat_1(X1,X2)|~v1_xboole_0(X2)), inference(split_conjunct,[status(thm)],[c_0_61])).
cnf(c_0_72, plain, (v5_relat_1(esk4_1(k12_polynom3(k1_int_3)),u1_struct_0(k12_polynom3(k1_int_3)))|~v1_group_1(k12_polynom3(k1_int_3))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_64])).
cnf(c_0_73, plain, (v1_relat_1(esk4_1(k12_polynom3(k1_int_3)))|~v1_group_1(k12_polynom3(k1_int_3))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_63]), c_0_64])).
cnf(c_0_74, 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_66, c_0_67]), c_0_64])).
cnf(c_0_75, plain, (l4_algstr_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_68])).
fof(c_0_76, plain, ![X91]:((l2_algstr_0(X91)|~l6_algstr_0(X91))&(l5_algstr_0(X91)|~l6_algstr_0(X91))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
fof(c_0_77, plain, ![X1, X2]:((((~v2_struct_0(X1)&l2_struct_0(X1))&~v1_xboole_0(X2))&v1_ring_4(X2,X1))=>![X3]:(m1_ring_4(X3,X1,X2)<=>m1_subset_1(X3,X2))), inference(fof_simplification,[status(thm)],[redefinition_m1_ring_4])).
fof(c_0_78, plain, ![X94, X95]:(v2_struct_0(X94)|~l2_struct_0(X94)|v2_struct_0(X95)|~v2_ring_4(X95,X94)|~l1_struct_0(X95)|v1_ring_4(u1_struct_0(X95),X94)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])).
cnf(c_0_79, plain, (v2_ring_4(k12_polynom3(X1),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_70])).
cnf(c_0_80, plain, (v2_struct_0(X1)|~v1_xboole_0(esk4_1(X1))|~v1_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
cnf(c_0_81, plain, (v1_xboole_0(esk4_1(k12_polynom3(k1_int_3)))|~v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|~v1_group_1(k12_polynom3(k1_int_3))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_73])).
cnf(c_0_82, plain, (v1_group_1(k12_polynom3(k1_int_3))|~l5_algstr_0(k12_polynom3(k1_int_3))), inference(spm,[status(thm)],[c_0_74, c_0_75])).
cnf(c_0_83, plain, (l5_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_76])).
fof(c_0_84, plain, ![X113, X114, X115]:((~m1_ring_4(X115,X113,X114)|m1_subset_1(X115,X114)|(v2_struct_0(X113)|~l2_struct_0(X113)|v1_xboole_0(X114)|~v1_ring_4(X114,X113)))&(~m1_subset_1(X115,X114)|m1_ring_4(X115,X113,X114)|(v2_struct_0(X113)|~l2_struct_0(X113)|v1_xboole_0(X114)|~v1_ring_4(X114,X113)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])])])])).
cnf(c_0_85, plain, (v2_struct_0(X1)|v2_struct_0(X2)|v1_ring_4(u1_struct_0(X2),X1)|~l2_struct_0(X1)|~v2_ring_4(X2,X1)|~l1_struct_0(X2)), inference(split_conjunct,[status(thm)],[c_0_78])).
cnf(c_0_86, plain, (v2_ring_4(k12_polynom3(k1_int_3),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_50]), c_0_51]), c_0_52]), c_0_53]), c_0_54])]), c_0_55])).
cnf(c_0_87, plain, (~v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|~v1_group_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_63])]), c_0_64])).
cnf(c_0_88, plain, (v1_group_1(k12_polynom3(k1_int_3))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_83]), c_0_63])])).
fof(c_0_89, plain, ![X118, X119]:(~m1_subset_1(X118,X119)|(v1_xboole_0(X119)|r2_tarski(X118,X119))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
fof(c_0_90, plain, ![X82, X83]:m1_subset_1(k10_subset_1(X82,X83),X83), inference(variable_rename,[status(thm)],[dt_k10_subset_1])).
fof(c_0_91, negated_conjecture, ~(![X1]:((v1_xreal_0(X1)&v2_xxreal_0(X1))=>![X2]:(m1_ring_4(X2,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))=>r2_fdiff_1(k9_e_trans1(X2),k2_rcomp_1(k5_numbers,X1))))), inference(assume_negation,[status(cth)],[l67_e_trans1])).
fof(c_0_92, plain, ![X89]:((l2_struct_0(X89)|~l4_struct_0(X89))&(l3_struct_0(X89)|~l4_struct_0(X89))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l4_struct_0])])])).
fof(c_0_93, plain, ![X104]:(~v1_relat_1(X104)|k5_relat_1(X104,k9_xtuple_0(X104))=X104), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd4_relat_1])])).
fof(c_0_94, plain, ![X105, X106]:(~v1_relat_1(X106)|~v4_relat_1(X106,X105)|k1_relset_1(X105,X106)=k9_xtuple_0(X106)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_relset_1])])).
fof(c_0_95, plain, ![X99]:((k1_relset_1(k1_numbers,k9_e_trans1(X99))=k1_numbers|~m1_ring_4(X99,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3))))&(k1_relset_1(k1_numbers,k20_valued_1(k1_numbers,k1_numbers,k1_numbers,k6_rfunct_1(k1_numbers,k1_numbers,k22_sin_cos),k9_e_trans1(X99)))=k1_numbers|~m1_ring_4(X99,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l62_e_trans1])])])).
cnf(c_0_96, plain, (m1_ring_4(X1,X3,X2)|v2_struct_0(X3)|v1_xboole_0(X2)|~m1_subset_1(X1,X2)|~l2_struct_0(X3)|~v1_ring_4(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_84])).
cnf(c_0_97, plain, (v1_ring_4(u1_struct_0(k12_polynom3(k1_int_3)),k1_int_3)|~l1_struct_0(k12_polynom3(k1_int_3))|~l2_struct_0(k1_int_3)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_86]), c_0_64]), c_0_55])).
cnf(c_0_98, plain, (~v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87, c_0_88])])).
fof(c_0_99, plain, ![X66, X67, X68]:(~m1_subset_1(X68,k1_zfmisc_1(k2_zfmisc_1(X66,X67)))|v1_relat_1(X68)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])])).
fof(c_0_100, plain, ![X87]:(((v1_funct_1(k9_e_trans1(X87))|~m1_subset_1(X87,u1_struct_0(k12_polynom3(k1_int_3))))&(v1_funct_2(k9_e_trans1(X87),k1_numbers,k1_numbers)|~m1_subset_1(X87,u1_struct_0(k12_polynom3(k1_int_3)))))&(m1_subset_1(k9_e_trans1(X87),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))|~m1_subset_1(X87,u1_struct_0(k12_polynom3(k1_int_3))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k9_e_trans1])])])).
fof(c_0_101, plain, ![X69, X70, X71]:((v4_relat_1(X71,X69)|~m1_subset_1(X71,k1_zfmisc_1(k2_zfmisc_1(X69,X70))))&(v5_relat_1(X71,X70)|~m1_subset_1(X71,k1_zfmisc_1(k2_zfmisc_1(X69,X70))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_relset_1])])])).
cnf(c_0_102, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_89])).
cnf(c_0_103, plain, (m1_subset_1(k10_subset_1(X1,X2),X2)), inference(split_conjunct,[status(thm)],[c_0_90])).
fof(c_0_104, plain, ![X103]:(~v1_xreal_0(X103)|k10_subset_1(X103,k1_numbers)=X103), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rd1_xreal_0])])).
fof(c_0_105, plain, ~v1_xboole_0(k1_numbers), inference(fof_simplification,[status(thm)],[fc1_numbers])).
fof(c_0_106, negated_conjecture, ((v1_xreal_0(esk1_0)&v2_xxreal_0(esk1_0))&(m1_ring_4(esk2_0,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))&~r2_fdiff_1(k9_e_trans1(esk2_0),k2_rcomp_1(k5_numbers,esk1_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])])])).
cnf(c_0_107, plain, (l2_struct_0(X1)|~l4_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_92])).
cnf(c_0_108, plain, (l4_struct_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_68])).
fof(c_0_109, plain, ![X77, X78, X79, X80]:(((r1_tarski(X78,k1_relset_1(k1_numbers,X77))|~r2_fdiff_1(X77,X78)|(~v1_funct_1(X77)|~m1_subset_1(X77,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))))&(~v1_xreal_0(X79)|(~r2_hidden(X79,X78)|r1_fdiff_1(k2_partfun1(k1_numbers,k1_numbers,X77,X78),X79))|~r2_fdiff_1(X77,X78)|(~v1_funct_1(X77)|~m1_subset_1(X77,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))))&((v1_xreal_0(esk3_2(X77,X80))|~r1_tarski(X80,k1_relset_1(k1_numbers,X77))|r2_fdiff_1(X77,X80)|(~v1_funct_1(X77)|~m1_subset_1(X77,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))))&((r2_hidden(esk3_2(X77,X80),X80)|~r1_tarski(X80,k1_relset_1(k1_numbers,X77))|r2_fdiff_1(X77,X80)|(~v1_funct_1(X77)|~m1_subset_1(X77,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))))&(~r1_fdiff_1(k2_partfun1(k1_numbers,k1_numbers,X77,X80),esk3_2(X77,X80))|~r1_tarski(X80,k1_relset_1(k1_numbers,X77))|r2_fdiff_1(X77,X80)|(~v1_funct_1(X77)|~m1_subset_1(X77,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_fdiff_1])])])])])])).
fof(c_0_110, plain, ![X107, X108, X109, X110]:(~v1_funct_1(X109)|~m1_subset_1(X109,k1_zfmisc_1(k2_zfmisc_1(X107,X108)))|k2_partfun1(X107,X108,X109,X110)=k5_relat_1(X109,X110)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_partfun1])])).
cnf(c_0_111, plain, (k5_relat_1(X1,k9_xtuple_0(X1))=X1|~v1_relat_1(X1)), inference(split_conjunct,[status(thm)],[c_0_93])).
cnf(c_0_112, plain, (k1_relset_1(X2,X1)=k9_xtuple_0(X1)|~v1_relat_1(X1)|~v4_relat_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_94])).
cnf(c_0_113, plain, (k1_relset_1(k1_numbers,k9_e_trans1(X1))=k1_numbers|~m1_ring_4(X1,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_95])).
cnf(c_0_114, plain, (m1_ring_4(X1,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))|~l1_struct_0(k12_polynom3(k1_int_3))|~l2_struct_0(k1_int_3)|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_97]), c_0_98]), c_0_55])).
cnf(c_0_115, plain, (v1_relat_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_99])).
cnf(c_0_116, plain, (m1_subset_1(k9_e_trans1(X1),k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_100])).
cnf(c_0_117, plain, (v4_relat_1(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_101])).
fof(c_0_118, plain, ![X100]:(~m1_ring_4(X100,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))|r2_fdiff_1(k9_e_trans1(X100),k1_numbers)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l64_e_trans1])])).
fof(c_0_119, plain, ![X116, X117]:((~r2_tarski(X116,X117)|r2_hidden(X116,X117))&(~r2_hidden(X116,X117)|r2_tarski(X116,X117))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_120, plain, (r2_tarski(k10_subset_1(X1,X2),X2)|v1_xboole_0(X2)), inference(spm,[status(thm)],[c_0_102, c_0_103])).
cnf(c_0_121, plain, (k10_subset_1(X1,k1_numbers)=X1|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_104])).
cnf(c_0_122, plain, (~v1_xboole_0(k1_numbers)), inference(split_conjunct,[status(thm)],[c_0_105])).
cnf(c_0_123, plain, (m1_subset_1(X1,X3)|v2_struct_0(X2)|v1_xboole_0(X3)|~m1_ring_4(X1,X2,X3)|~l2_struct_0(X2)|~v1_ring_4(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_84])).
cnf(c_0_124, negated_conjecture, (m1_ring_4(esk2_0,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_106])).
cnf(c_0_125, plain, (l2_struct_0(X1)|~l5_algstr_0(X1)), inference(spm,[status(thm)],[c_0_107, c_0_108])).
cnf(c_0_126, plain, (r1_fdiff_1(k2_partfun1(k1_numbers,k1_numbers,X3,X2),X1)|~v1_xreal_0(X1)|~r2_hidden(X1,X2)|~r2_fdiff_1(X3,X2)|~v1_funct_1(X3)|~m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))), inference(split_conjunct,[status(thm)],[c_0_109])).
cnf(c_0_127, plain, (k2_partfun1(X2,X3,X1,X4)=k5_relat_1(X1,X4)|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_110])).
cnf(c_0_128, plain, (k5_relat_1(X1,k1_relset_1(X2,X1))=X1|~v4_relat_1(X1,X2)|~v1_relat_1(X1)), inference(spm,[status(thm)],[c_0_111, c_0_112])).
cnf(c_0_129, plain, (k1_relset_1(k1_numbers,k9_e_trans1(X1))=k1_numbers|~l1_struct_0(k12_polynom3(k1_int_3))|~l2_struct_0(k1_int_3)|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_113, c_0_114])).
cnf(c_0_130, plain, (v1_relat_1(k9_e_trans1(X1))|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_115, c_0_116])).
cnf(c_0_131, plain, (v4_relat_1(k9_e_trans1(X1),k1_numbers)|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_117, c_0_116])).
cnf(c_0_132, plain, (r2_fdiff_1(k9_e_trans1(X1),k1_numbers)|~m1_ring_4(X1,k1_int_3,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_118])).
cnf(c_0_133, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_119])).
cnf(c_0_134, plain, (r2_tarski(X1,k1_numbers)|~v1_xreal_0(X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_120, c_0_121]), c_0_122])).
cnf(c_0_135, negated_conjecture, (v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))|~v1_ring_4(u1_struct_0(k12_polynom3(k1_int_3)),k1_int_3)|~l2_struct_0(k1_int_3)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123, c_0_124]), c_0_55])).
cnf(c_0_136, plain, (l2_struct_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_125, c_0_83])).
fof(c_0_137, plain, ![X122, X123, X124]:(((r1_tarski(X122,k1_relset_1(k1_numbers,X123))|~r2_fdiff_1(X123,X122)|(~v1_funct_1(X123)|~m1_subset_1(X123,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))|(~v3_rcomp_1(X122)|~m1_subset_1(X122,k1_zfmisc_1(k1_numbers))))&(~v1_xreal_0(X124)|(~r2_hidden(X124,X122)|r1_fdiff_1(X123,X124))|~r2_fdiff_1(X123,X122)|(~v1_funct_1(X123)|~m1_subset_1(X123,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))|(~v3_rcomp_1(X122)|~m1_subset_1(X122,k1_zfmisc_1(k1_numbers)))))&((v1_xreal_0(esk5_2(X122,X123))|~r1_tarski(X122,k1_relset_1(k1_numbers,X123))|r2_fdiff_1(X123,X122)|(~v1_funct_1(X123)|~m1_subset_1(X123,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))|(~v3_rcomp_1(X122)|~m1_subset_1(X122,k1_zfmisc_1(k1_numbers))))&((r2_hidden(esk5_2(X122,X123),X122)|~r1_tarski(X122,k1_relset_1(k1_numbers,X123))|r2_fdiff_1(X123,X122)|(~v1_funct_1(X123)|~m1_subset_1(X123,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))|(~v3_rcomp_1(X122)|~m1_subset_1(X122,k1_zfmisc_1(k1_numbers))))&(~r1_fdiff_1(X123,esk5_2(X122,X123))|~r1_tarski(X122,k1_relset_1(k1_numbers,X123))|r2_fdiff_1(X123,X122)|(~v1_funct_1(X123)|~m1_subset_1(X123,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers))))|(~v3_rcomp_1(X122)|~m1_subset_1(X122,k1_zfmisc_1(k1_numbers))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t9_fdiff_1])])])])])).
cnf(c_0_138, plain, (r1_fdiff_1(k5_relat_1(X1,X2),X3)|~r2_hidden(X3,X2)|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))|~r2_fdiff_1(X1,X2)|~v1_xreal_0(X3)), inference(spm,[status(thm)],[c_0_126, c_0_127])).
cnf(c_0_139, plain, (k5_relat_1(k9_e_trans1(X1),k1_numbers)=k9_e_trans1(X1)|~l1_struct_0(k12_polynom3(k1_int_3))|~l2_struct_0(k1_int_3)|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128, c_0_129]), c_0_130]), c_0_131])).
cnf(c_0_140, plain, (r2_fdiff_1(k9_e_trans1(X1),k1_numbers)|~l1_struct_0(k12_polynom3(k1_int_3))|~l2_struct_0(k1_int_3)|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(spm,[status(thm)],[c_0_132, c_0_114])).
cnf(c_0_141, plain, (v1_funct_1(k9_e_trans1(X1))|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(split_conjunct,[status(thm)],[c_0_100])).
cnf(c_0_142, plain, (r2_hidden(X1,k1_numbers)|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_133, c_0_134])).
cnf(c_0_143, negated_conjecture, (v1_xboole_0(u1_struct_0(k12_polynom3(k1_int_3)))|m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))|~v1_ring_4(u1_struct_0(k12_polynom3(k1_int_3)),k1_int_3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135, c_0_136]), c_0_50])])).
fof(c_0_144, plain, ![X88]:(~l2_struct_0(X88)|l1_struct_0(X88)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_struct_0])])).
cnf(c_0_145, plain, (r2_fdiff_1(X1,X2)|~r1_fdiff_1(X1,esk5_2(X2,X1))|~r1_tarski(X2,k1_relset_1(k1_numbers,X1))|~v1_funct_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))|~v3_rcomp_1(X2)|~m1_subset_1(X2,k1_zfmisc_1(k1_numbers))), inference(split_conjunct,[status(thm)],[c_0_137])).
cnf(c_0_146, plain, (r1_fdiff_1(k9_e_trans1(X1),X2)|~l1_struct_0(k12_polynom3(k1_int_3))|~l2_struct_0(k1_int_3)|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~v1_xreal_0(X2)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138, c_0_139]), c_0_140]), c_0_116]), c_0_141]), c_0_142])).
cnf(c_0_147, plain, (v1_xreal_0(esk5_2(X1,X2))|r2_fdiff_1(X2,X1)|~r1_tarski(X1,k1_relset_1(k1_numbers,X2))|~v1_funct_1(X2)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(k1_numbers,k1_numbers)))|~v3_rcomp_1(X1)|~m1_subset_1(X1,k1_zfmisc_1(k1_numbers))), inference(split_conjunct,[status(thm)],[c_0_137])).
fof(c_0_148, plain, ![X120, X121]:((~m1_subset_1(X120,k1_zfmisc_1(X121))|r1_tarski(X120,X121))&(~r1_tarski(X120,X121)|m1_subset_1(X120,k1_zfmisc_1(X121)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])).
cnf(c_0_149, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))|~l1_struct_0(k12_polynom3(k1_int_3))|~l2_struct_0(k1_int_3)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_143, c_0_97]), c_0_98])).
cnf(c_0_150, plain, (l1_struct_0(X1)|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_144])).
cnf(c_0_151, plain, (r2_fdiff_1(k9_e_trans1(X1),X2)|~v3_rcomp_1(X2)|~l1_struct_0(k12_polynom3(k1_int_3))|~l2_struct_0(k1_int_3)|~r1_tarski(X2,k1_relset_1(k1_numbers,k9_e_trans1(X1)))|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))|~m1_subset_1(X2,k1_zfmisc_1(k1_numbers))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145, c_0_146]), c_0_147]), c_0_116]), c_0_141])).
cnf(c_0_152, plain, (m1_subset_1(X1,k1_zfmisc_1(X2))|~r1_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_148])).
cnf(c_0_153, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_struct_0(k12_polynom3(k1_int_3))|~l2_struct_0(k1_int_3)), inference(spm,[status(thm)],[c_0_149, c_0_150])).
fof(c_0_154, plain, ![X92, X93]:(~v1_xreal_0(X92)|~v1_xreal_0(X93)|v3_rcomp_1(k4_xxreal_1(X92,X93))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_rcomp_1])])).
fof(c_0_155, plain, ![X111, X112]:(~v1_xxreal_0(X111)|~v1_xxreal_0(X112)|k2_rcomp_1(X111,X112)=k4_xxreal_1(X111,X112)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_rcomp_1])])).
fof(c_0_156, plain, ![X73]:(~v1_xreal_0(X73)|v1_xxreal_0(X73)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_xreal_0])])).
fof(c_0_157, plain, ![X72]:(~v7_ordinal1(X72)|v1_xreal_0(X72)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xreal_0])])).
cnf(c_0_158, plain, (v7_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc8_ordinal1])).
cnf(c_0_159, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
cnf(c_0_160, negated_conjecture, (~r2_fdiff_1(k9_e_trans1(esk2_0),k2_rcomp_1(k5_numbers,esk1_0))), inference(split_conjunct,[status(thm)],[c_0_106])).
cnf(c_0_161, plain, (r2_fdiff_1(k9_e_trans1(X1),X2)|~v3_rcomp_1(X2)|~l1_struct_0(k12_polynom3(k1_int_3))|~l2_struct_0(k1_int_3)|~r1_tarski(X2,k1_numbers)|~m1_subset_1(X1,u1_struct_0(k12_polynom3(k1_int_3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151, c_0_129]), c_0_152])).
cnf(c_0_162, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k12_polynom3(k1_int_3)))|~l2_struct_0(k1_int_3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153, c_0_136]), c_0_63])])).
cnf(c_0_163, plain, (v3_rcomp_1(k4_xxreal_1(X1,X2))|~v1_xreal_0(X1)|~v1_xreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_154])).
cnf(c_0_164, plain, (k2_rcomp_1(X1,X2)=k4_xxreal_1(X1,X2)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_155])).
cnf(c_0_165, plain, (v1_xxreal_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_156])).
cnf(c_0_166, plain, (v1_xreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_157])).
cnf(c_0_167, plain, (v7_ordinal1(k5_numbers)), inference(rw,[status(thm)],[c_0_158, c_0_159])).
cnf(c_0_168, negated_conjecture, (~v3_rcomp_1(k2_rcomp_1(k5_numbers,esk1_0))|~l1_struct_0(k12_polynom3(k1_int_3))|~l2_struct_0(k1_int_3)|~r1_tarski(k2_rcomp_1(k5_numbers,esk1_0),k1_numbers)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160, c_0_161]), c_0_162])).
cnf(c_0_169, plain, (v3_rcomp_1(k2_rcomp_1(X1,X2))|~v1_xreal_0(X2)|~v1_xreal_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163, c_0_164]), c_0_165]), c_0_165])).
cnf(c_0_170, negated_conjecture, (v1_xreal_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_106])).
cnf(c_0_171, plain, (v1_xreal_0(k5_numbers)), inference(spm,[status(thm)],[c_0_166, c_0_167])).
cnf(c_0_172, negated_conjecture, (~l1_struct_0(k12_polynom3(k1_int_3))|~l2_struct_0(k1_int_3)|~r1_tarski(k2_rcomp_1(k5_numbers,esk1_0),k1_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_169]), c_0_170]), c_0_171])])).
cnf(c_0_173, plain, (r1_tarski(X1,X2)|~m1_subset_1(X1,k1_zfmisc_1(X2))), inference(split_conjunct,[status(thm)],[c_0_148])).
fof(c_0_174, plain, ![X85, X86]:(~v1_xxreal_0(X85)|~v1_xxreal_0(X86)|m1_subset_1(k2_rcomp_1(X85,X86),k1_zfmisc_1(k1_numbers))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_rcomp_1])])).
cnf(c_0_175, negated_conjecture, (~l1_struct_0(k12_polynom3(k1_int_3))|~l2_struct_0(k1_int_3)|~m1_subset_1(k2_rcomp_1(k5_numbers,esk1_0),k1_zfmisc_1(k1_numbers))), inference(spm,[status(thm)],[c_0_172, c_0_173])).
cnf(c_0_176, plain, (m1_subset_1(k2_rcomp_1(X1,X2),k1_zfmisc_1(k1_numbers))|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_174])).
cnf(c_0_177, negated_conjecture, (~l1_struct_0(k12_polynom3(k1_int_3))|~l2_struct_0(k1_int_3)|~v1_xxreal_0(esk1_0)|~v1_xxreal_0(k5_numbers)), inference(spm,[status(thm)],[c_0_175, c_0_176])).
cnf(c_0_178, negated_conjecture, (~l2_struct_0(k12_polynom3(k1_int_3))|~l2_struct_0(k1_int_3)|~v1_xxreal_0(esk1_0)|~v1_xxreal_0(k5_numbers)), inference(spm,[status(thm)],[c_0_177, c_0_150])).
cnf(c_0_179, negated_conjecture, (~l2_struct_0(k1_int_3)|~v1_xxreal_0(esk1_0)|~v1_xxreal_0(k5_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178, c_0_136]), c_0_63])])).
cnf(c_0_180, negated_conjecture, (~v1_xxreal_0(esk1_0)|~v1_xxreal_0(k5_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179, c_0_136]), c_0_50])])).
cnf(c_0_181, negated_conjecture, (~v1_xxreal_0(k5_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180, c_0_165]), c_0_170])])).
cnf(c_0_182, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181, c_0_165]), c_0_171])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 183
# Proof object clause steps            : 99
# Proof object formula steps           : 84
# Proof object conjectures             : 20
# Proof object clause conjectures      : 17
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 53
# Proof object initial formulas used   : 40
# Proof object generating inferences   : 44
# Proof object simplifying inferences  : 72
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 41
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 91
# Removed in clause preprocessing      : 3
# Initial clauses in saturation        : 88
# Processed clauses                    : 538
# ...of these trivial                  : 1
# ...subsumed                          : 39
# ...remaining for further processing  : 498
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 38
# Backward-rewritten                   : 14
# Generated clauses                    : 938
# ...of the previous two non-trivial   : 908
# Contextual simplify-reflections      : 42
# Paramodulations                      : 938
# 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  : 365
#    Positive orientable unit clauses  : 64
#    Positive unorientable unit clauses: 1
#    Negative unit clauses             : 9
#    Non-unit-clauses                  : 291
# Current number of unprocessed clauses: 539
# ...number of literals in the above   : 2055
# Current number of archived formulas  : 0
# Current number of archived clauses   : 133
# Clause-clause subsumption calls (NU) : 23191
# Rec. Clause-clause subsumption calls : 7271
# Non-unit clause-clause subsumptions  : 114
# Unit Clause-clause subsumption calls : 601
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 7
# BW rewrite match successes           : 3
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 35900

# -------------------------------------------------
# User time                : 0.050 s
# System time              : 0.004 s
# Total time               : 0.054 s
# Maximum resident set size: 3524 pages
