# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
# and selection function SelectCQIPrecWNTNp.
#
# Preprocessing time       : 0.013 s
# Presaturation interreduction done

# Failure: User resource limit exceeded!
# Parsed axioms                        : 42
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 76
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 75
# Processed clauses                    : 190290
# ...of these trivial                  : 1
# ...subsumed                          : 152815
# ...remaining for further processing  : 37474
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 54467
# Backward-subsumed                    : 1826
# Backward-rewritten                   : 242
# Generated clauses                    : 4521868
# ...of the previous two non-trivial   : 4496288
# Contextual simplify-reflections      : 1068
# Paramodulations                      : 4521549
# Factorizations                       : 318
# NegExts                              : 0
# Equation resolutions                 : 1
# 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  : 35330
#    Positive orientable unit clauses  : 1054
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 6
#    Non-unit-clauses                  : 34270
# Current number of unprocessed clauses: 1133453
# ...number of literals in the above   : 6489139
# Current number of archived formulas  : 0
# Current number of archived clauses   : 2143
# Clause-clause subsumption calls (NU) : 174281246
# Rec. Clause-clause subsumption calls : 27512173
# Non-unit clause-clause subsumptions  : 155011
# Unit Clause-clause subsumption calls : 298212
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 540943
# BW rewrite match successes           : 120
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 106226394
# No success with AutoSched0
# Trying AutoSched1 for 71 seconds
# AutoSched1-Mode selected heuristic G_E___208_C12_11_nc_F1_SE_CS_SP_PS_S033N
# and selection function PSelectUnlessUniqMax.
#
# Preprocessing time       : 0.019 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(dt_k3_funct_2, axiom, ![X1, X2, X3, X4]:(((((~(v1_xboole_0(X1))&v1_funct_1(X3))&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&m1_subset_1(X4,X1))=>m1_subset_1(k3_funct_2(X1,X2,X3,X4),X2)), file('dualsp06/dualsp06__t18_dualsp06', dt_k3_funct_2)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('dualsp06/dualsp06__t18_dualsp06', redefinition_r2_tarski)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('dualsp06/dualsp06__t18_dualsp06', t2_subset)).
fof(dt_u1_normsp_0, axiom, ![X1]:(l1_normsp_0(X1)=>((v1_funct_1(u1_normsp_0(X1))&v1_funct_2(u1_normsp_0(X1),u1_struct_0(X1),k1_numbers))&m1_subset_1(u1_normsp_0(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),k1_numbers))))), file('dualsp06/dualsp06__t18_dualsp06', dt_u1_normsp_0)).
fof(fc1_numbers, axiom, ~(v1_xboole_0(k1_numbers)), file('dualsp06/dualsp06__t18_dualsp06', fc1_numbers)).
fof(d1_normsp_0, axiom, ![X1]:((~(v2_struct_0(X1))&l1_normsp_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>k2_normsp_0(X1,X2)=k3_funct_2(u1_struct_0(X1),k1_numbers,u1_normsp_0(X1),X2))), file('dualsp06/dualsp06__t18_dualsp06', d1_normsp_0)).
fof(fraenkel_a_3_0_dualsp06, axiom, ![X1, X2, X3, X4]:((((((((((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v5_rlvect_1(X2))&v6_rlvect_1(X2))&v7_rlvect_1(X2))&v8_rlvect_1(X2))&v3_normsp_0(X2))&v4_normsp_0(X2))&v2_normsp_1(X2))&l1_normsp_1(X2))&m1_subset_1(X3,u1_struct_0(X2)))&~(v2_struct_0(X4)))&m1_rlsub_1(X4,X2))=>(r2_hidden(X1,a_3_0_dualsp06(X2,X3,X4))<=>?[X5]:((m1_subset_1(X5,u1_struct_0(X2))&X1=k2_normsp_0(X2,k5_algstr_0(X2,X3,X5)))&r1_struct_0(X4,X5)))), file('dualsp06/dualsp06__t18_dualsp06', fraenkel_a_3_0_dualsp06)).
fof(dt_l2_normsp_0, axiom, ![X1]:(l2_normsp_0(X1)=>(l1_normsp_0(X1)&l2_struct_0(X1))), file('dualsp06/dualsp06__t18_dualsp06', dt_l2_normsp_0)).
fof(dt_l1_normsp_1, axiom, ![X1]:(l1_normsp_1(X1)=>(l1_rlvect_1(X1)&l2_normsp_0(X1))), file('dualsp06/dualsp06__t18_dualsp06', dt_l1_normsp_1)).
fof(dt_k5_algstr_0, axiom, ![X1, X2, X3]:(((l2_algstr_0(X1)&m1_subset_1(X2,u1_struct_0(X1)))&m1_subset_1(X3,u1_struct_0(X1)))=>m1_subset_1(k5_algstr_0(X1,X2,X3),u1_struct_0(X1))), file('dualsp06/dualsp06__t18_dualsp06', dt_k5_algstr_0)).
fof(t18_dualsp06, conjecture, ![X1]:(((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:((~(v2_struct_0(X3))&m1_rlsub_1(X3,X1))=>((~(v1_xboole_0(a_3_0_dualsp06(X1,X2,X3)))&v3_membered(a_3_0_dualsp06(X1,X2,X3)))&v3_xxreal_2(a_3_0_dualsp06(X1,X2,X3)))))), file('dualsp06/dualsp06__t18_dualsp06', t18_dualsp06)).
fof(dt_l1_rlvect_1, axiom, ![X1]:(l1_rlvect_1(X1)=>l2_algstr_0(X1)), file('dualsp06/dualsp06__t18_dualsp06', dt_l1_rlvect_1)).
fof(d3_tarski, axiom, ![X1, X2]:(r1_tarski(X1,X2)<=>![X3]:(r2_hidden(X3,X1)=>r2_hidden(X3,X2))), file('dualsp06/dualsp06__t18_dualsp06', d3_tarski)).
fof(cc15_membered, axiom, ![X1]:(v3_membered(X1)=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(X1))=>v3_membered(X2))), file('dualsp06/dualsp06__t18_dualsp06', cc15_membered)).
fof(t3_subset, axiom, ![X1, X2]:(m1_subset_1(X1,k1_zfmisc_1(X2))<=>r1_tarski(X1,X2)), file('dualsp06/dualsp06__t18_dualsp06', t3_subset)).
fof(cc4_membered, axiom, ![X1]:(v3_membered(X1)=>v2_membered(X1)), file('dualsp06/dualsp06__t18_dualsp06', cc4_membered)).
fof(fc3_membered, axiom, v3_membered(k1_numbers), file('dualsp06/dualsp06__t18_dualsp06', fc3_membered)).
fof(cc2_membered, axiom, ![X1]:(v5_membered(X1)=>v4_membered(X1)), file('dualsp06/dualsp06__t18_dualsp06', cc2_membered)).
fof(cc1_membered, axiom, ![X1]:(v6_membered(X1)=>v5_membered(X1)), file('dualsp06/dualsp06__t18_dualsp06', cc1_membered)).
fof(d2_xxreal_2, axiom, ![X1]:(v2_membered(X1)=>![X2]:(v1_xxreal_0(X2)=>(m2_xxreal_2(X2,X1)<=>![X3]:(v1_xxreal_0(X3)=>(r2_hidden(X3,X1)=>r1_xxreal_0(X2,X3)))))), file('dualsp06/dualsp06__t18_dualsp06', d2_xxreal_2)).
fof(cc3_membered, axiom, ![X1]:(v4_membered(X1)=>v3_membered(X1)), file('dualsp06/dualsp06__t18_dualsp06', cc3_membered)).
fof(t8_real, axiom, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>~(((~(r1_xxreal_0(X1,X2))&~(v3_xxreal_0(X2)))&~(v2_xxreal_0(X1)))))), file('dualsp06/dualsp06__t18_dualsp06', t8_real)).
fof(cc8_membered, axiom, ![X1]:(v3_membered(X1)=>![X2]:(m1_subset_1(X2,X1)=>v1_xreal_0(X2))), file('dualsp06/dualsp06__t18_dualsp06', cc8_membered)).
fof(fc1_normsp_1, axiom, ![X1, X2]:((((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>(~(v3_xxreal_0(k2_normsp_0(X1,X2)))&v1_xreal_0(k2_normsp_0(X1,X2)))), file('dualsp06/dualsp06__t18_dualsp06', fc1_normsp_1)).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1), file('dualsp06/dualsp06__t18_dualsp06', fc6_membered)).
fof(cc4_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xxreal_0(X1)), file('dualsp06/dualsp06__t18_dualsp06', cc4_xreal_0)).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0,k4_ordinal1), file('dualsp06/dualsp06__t18_dualsp06', t1_numerals)).
fof(d9_xxreal_2, axiom, ![X1]:(v2_membered(X1)=>(v3_xxreal_2(X1)<=>?[X2]:(v1_xreal_0(X2)&m2_xxreal_2(X2,X1)))), file('dualsp06/dualsp06__t18_dualsp06', d9_xxreal_2)).
fof(t7_boole, axiom, ![X1, X2]:~((r2_tarski(X1,X2)&v1_xboole_0(X2))), file('dualsp06/dualsp06__t18_dualsp06', t7_boole)).
fof(dt_k4_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>m1_subset_1(k4_struct_0(X1),u1_struct_0(X1))), file('dualsp06/dualsp06__t18_dualsp06', dt_k4_struct_0)).
fof(t17_rlsub_1, axiom, ![X1]:((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&l1_rlvect_1(X1))=>![X2]:(m1_rlsub_1(X2,X1)=>r1_struct_0(X2,k4_struct_0(X1)))), file('dualsp06/dualsp06__t18_dualsp06', t17_rlsub_1)).
fof(fc2_struct_0, axiom, ![X1]:((~(v2_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))), file('dualsp06/dualsp06__t18_dualsp06', fc2_struct_0)).
fof(dt_l2_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>l1_struct_0(X1)), file('dualsp06/dualsp06__t18_dualsp06', dt_l2_struct_0)).
fof(cc7_card_1, axiom, ![X1]:(v3_card_1(X1,k5_ordinal1)=>v1_xboole_0(X1)), file('dualsp06/dualsp06__t18_dualsp06', cc7_card_1)).
fof(rc7_card_1, axiom, ![X1]:(v1_card_1(X1)=>?[X2]:v3_card_1(X2,X1)), file('dualsp06/dualsp06__t18_dualsp06', rc7_card_1)).
fof(cc4_nat_1, axiom, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~(v2_xxreal_0(X1)))), file('dualsp06/dualsp06__t18_dualsp06', cc4_nat_1)).
fof(t6_boole, axiom, ![X1]:(v1_xboole_0(X1)=>X1=k1_xboole_0), file('dualsp06/dualsp06__t18_dualsp06', t6_boole)).
fof(cc11_ordinal1, axiom, ![X1]:(v8_ordinal1(X1)=>v7_ordinal1(X1)), file('dualsp06/dualsp06__t18_dualsp06', cc11_ordinal1)).
fof(cc6_nat_1, axiom, ![X1]:(~(v8_ordinal1(X1))=>~(v1_xboole_0(X1))), file('dualsp06/dualsp06__t18_dualsp06', cc6_nat_1)).
fof(cc3_card_1, axiom, ![X1]:(v7_ordinal1(X1)=>v1_card_1(X1)), file('dualsp06/dualsp06__t18_dualsp06', cc3_card_1)).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1), file('dualsp06/dualsp06__t18_dualsp06', fc8_ordinal1)).
fof(c_0_41, plain, ![X1, X2, X3, X4]:(((((~v1_xboole_0(X1)&v1_funct_1(X3))&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&m1_subset_1(X4,X1))=>m1_subset_1(k3_funct_2(X1,X2,X3,X4),X2)), inference(fof_simplification,[status(thm)],[dt_k3_funct_2])).
fof(c_0_42, plain, ![X125, X126]:((~r2_tarski(X125,X126)|r2_hidden(X125,X126))&(~r2_hidden(X125,X126)|r2_tarski(X125,X126))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
fof(c_0_43, plain, ![X129, X130]:(~m1_subset_1(X129,X130)|(v1_xboole_0(X130)|r2_tarski(X129,X130))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
fof(c_0_44, plain, ![X101, X102, X103, X104]:(v1_xboole_0(X101)|~v1_funct_1(X103)|~v1_funct_2(X103,X101,X102)|~m1_subset_1(X103,k1_zfmisc_1(k2_zfmisc_1(X101,X102)))|~m1_subset_1(X104,X101)|m1_subset_1(k3_funct_2(X101,X102,X103,X104),X102)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])).
fof(c_0_45, plain, ![X113]:(((v1_funct_1(u1_normsp_0(X113))|~l1_normsp_0(X113))&(v1_funct_2(u1_normsp_0(X113),u1_struct_0(X113),k1_numbers)|~l1_normsp_0(X113)))&(m1_subset_1(u1_normsp_0(X113),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X113),k1_numbers)))|~l1_normsp_0(X113))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_normsp_0])])])).
cnf(c_0_46, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_47, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_48, plain, (v1_xboole_0(X1)|m1_subset_1(k3_funct_2(X1,X3,X2,X4),X3)|~v1_funct_1(X2)|~v1_funct_2(X2,X1,X3)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X3)))|~m1_subset_1(X4,X1)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_49, plain, (m1_subset_1(u1_normsp_0(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),k1_numbers)))|~l1_normsp_0(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_50, plain, (v1_funct_1(u1_normsp_0(X1))|~l1_normsp_0(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_51, plain, (v1_funct_2(u1_normsp_0(X1),u1_struct_0(X1),k1_numbers)|~l1_normsp_0(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
fof(c_0_52, plain, ~v1_xboole_0(k1_numbers), inference(fof_simplification,[status(thm)],[fc1_numbers])).
fof(c_0_53, plain, ![X1]:((~v2_struct_0(X1)&l1_normsp_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>k2_normsp_0(X1,X2)=k3_funct_2(u1_struct_0(X1),k1_numbers,u1_normsp_0(X1),X2))), inference(fof_simplification,[status(thm)],[d1_normsp_0])).
cnf(c_0_54, plain, (r2_hidden(X1,X2)|v1_xboole_0(X2)|~m1_subset_1(X1,X2)), inference(spm,[status(thm)],[c_0_46, c_0_47])).
cnf(c_0_55, plain, (v1_xboole_0(u1_struct_0(X1))|m1_subset_1(k3_funct_2(u1_struct_0(X1),k1_numbers,u1_normsp_0(X1),X2),k1_numbers)|~l1_normsp_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50]), c_0_51])).
cnf(c_0_56, plain, (~v1_xboole_0(k1_numbers)), inference(split_conjunct,[status(thm)],[c_0_52])).
fof(c_0_57, plain, ![X86, X87]:(v2_struct_0(X86)|~l1_normsp_0(X86)|(~m1_subset_1(X87,u1_struct_0(X86))|k2_normsp_0(X86,X87)=k3_funct_2(u1_struct_0(X86),k1_numbers,u1_normsp_0(X86),X87))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])).
fof(c_0_58, plain, ![X1, X2, X3, X4]:((((((((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v5_rlvect_1(X2))&v6_rlvect_1(X2))&v7_rlvect_1(X2))&v8_rlvect_1(X2))&v3_normsp_0(X2))&v4_normsp_0(X2))&v2_normsp_1(X2))&l1_normsp_1(X2))&m1_subset_1(X3,u1_struct_0(X2)))&~v2_struct_0(X4))&m1_rlsub_1(X4,X2))=>(r2_hidden(X1,a_3_0_dualsp06(X2,X3,X4))<=>?[X5]:((m1_subset_1(X5,u1_struct_0(X2))&X1=k2_normsp_0(X2,k5_algstr_0(X2,X3,X5)))&r1_struct_0(X4,X5)))), inference(fof_simplification,[status(thm)],[fraenkel_a_3_0_dualsp06])).
fof(c_0_59, plain, ![X111]:((l1_normsp_0(X111)|~l2_normsp_0(X111))&(l2_struct_0(X111)|~l2_normsp_0(X111))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_normsp_0])])])).
fof(c_0_60, plain, ![X109]:((l1_rlvect_1(X109)|~l1_normsp_1(X109))&(l2_normsp_0(X109)|~l1_normsp_1(X109))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_normsp_1])])])).
cnf(c_0_61, plain, (r2_hidden(k3_funct_2(u1_struct_0(X1),k1_numbers,u1_normsp_0(X1),X2),k1_numbers)|v1_xboole_0(u1_struct_0(X1))|~l1_normsp_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_56])).
cnf(c_0_62, plain, (v2_struct_0(X1)|k2_normsp_0(X1,X2)=k3_funct_2(u1_struct_0(X1),k1_numbers,u1_normsp_0(X1),X2)|~l1_normsp_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_57])).
fof(c_0_63, plain, ![X117, X118, X119, X120, X122]:((((m1_subset_1(esk7_4(X117,X118,X119,X120),u1_struct_0(X118))|~r2_hidden(X117,a_3_0_dualsp06(X118,X119,X120))|(v2_struct_0(X118)|~v13_algstr_0(X118)|~v2_rlvect_1(X118)|~v3_rlvect_1(X118)|~v4_rlvect_1(X118)|~v5_rlvect_1(X118)|~v6_rlvect_1(X118)|~v7_rlvect_1(X118)|~v8_rlvect_1(X118)|~v3_normsp_0(X118)|~v4_normsp_0(X118)|~v2_normsp_1(X118)|~l1_normsp_1(X118)|~m1_subset_1(X119,u1_struct_0(X118))|v2_struct_0(X120)|~m1_rlsub_1(X120,X118)))&(X117=k2_normsp_0(X118,k5_algstr_0(X118,X119,esk7_4(X117,X118,X119,X120)))|~r2_hidden(X117,a_3_0_dualsp06(X118,X119,X120))|(v2_struct_0(X118)|~v13_algstr_0(X118)|~v2_rlvect_1(X118)|~v3_rlvect_1(X118)|~v4_rlvect_1(X118)|~v5_rlvect_1(X118)|~v6_rlvect_1(X118)|~v7_rlvect_1(X118)|~v8_rlvect_1(X118)|~v3_normsp_0(X118)|~v4_normsp_0(X118)|~v2_normsp_1(X118)|~l1_normsp_1(X118)|~m1_subset_1(X119,u1_struct_0(X118))|v2_struct_0(X120)|~m1_rlsub_1(X120,X118))))&(r1_struct_0(X120,esk7_4(X117,X118,X119,X120))|~r2_hidden(X117,a_3_0_dualsp06(X118,X119,X120))|(v2_struct_0(X118)|~v13_algstr_0(X118)|~v2_rlvect_1(X118)|~v3_rlvect_1(X118)|~v4_rlvect_1(X118)|~v5_rlvect_1(X118)|~v6_rlvect_1(X118)|~v7_rlvect_1(X118)|~v8_rlvect_1(X118)|~v3_normsp_0(X118)|~v4_normsp_0(X118)|~v2_normsp_1(X118)|~l1_normsp_1(X118)|~m1_subset_1(X119,u1_struct_0(X118))|v2_struct_0(X120)|~m1_rlsub_1(X120,X118))))&(~m1_subset_1(X122,u1_struct_0(X118))|X117!=k2_normsp_0(X118,k5_algstr_0(X118,X119,X122))|~r1_struct_0(X120,X122)|r2_hidden(X117,a_3_0_dualsp06(X118,X119,X120))|(v2_struct_0(X118)|~v13_algstr_0(X118)|~v2_rlvect_1(X118)|~v3_rlvect_1(X118)|~v4_rlvect_1(X118)|~v5_rlvect_1(X118)|~v6_rlvect_1(X118)|~v7_rlvect_1(X118)|~v8_rlvect_1(X118)|~v3_normsp_0(X118)|~v4_normsp_0(X118)|~v2_normsp_1(X118)|~l1_normsp_1(X118)|~m1_subset_1(X119,u1_struct_0(X118))|v2_struct_0(X120)|~m1_rlsub_1(X120,X118)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])])])).
cnf(c_0_64, plain, (l1_normsp_0(X1)|~l2_normsp_0(X1)), inference(split_conjunct,[status(thm)],[c_0_59])).
cnf(c_0_65, plain, (l2_normsp_0(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_66, plain, (r2_hidden(k2_normsp_0(X1,X2),k1_numbers)|v1_xboole_0(u1_struct_0(X1))|v2_struct_0(X1)|~l1_normsp_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(spm,[status(thm)],[c_0_61, c_0_62])).
cnf(c_0_67, plain, (X1=k2_normsp_0(X2,k5_algstr_0(X2,X3,esk7_4(X1,X2,X3,X4)))|v2_struct_0(X2)|v2_struct_0(X4)|~r2_hidden(X1,a_3_0_dualsp06(X2,X3,X4))|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~v3_normsp_0(X2)|~v4_normsp_0(X2)|~v2_normsp_1(X2)|~l1_normsp_1(X2)|~m1_subset_1(X3,u1_struct_0(X2))|~m1_rlsub_1(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_68, plain, (l1_normsp_0(X1)|~l1_normsp_1(X1)), inference(spm,[status(thm)],[c_0_64, c_0_65])).
fof(c_0_69, plain, ![X106, X107, X108]:(~l2_algstr_0(X106)|~m1_subset_1(X107,u1_struct_0(X106))|~m1_subset_1(X108,u1_struct_0(X106))|m1_subset_1(k5_algstr_0(X106,X107,X108),u1_struct_0(X106))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_algstr_0])])).
cnf(c_0_70, plain, (r2_hidden(X1,k1_numbers)|v1_xboole_0(u1_struct_0(X2))|v2_struct_0(X3)|v2_struct_0(X2)|~r2_hidden(X1,a_3_0_dualsp06(X2,X4,X3))|~m1_rlsub_1(X3,X2)|~m1_subset_1(k5_algstr_0(X2,X4,esk7_4(X1,X2,X4,X3)),u1_struct_0(X2))|~m1_subset_1(X4,u1_struct_0(X2))|~l1_normsp_1(X2)|~v2_normsp_1(X2)|~v4_normsp_0(X2)|~v3_normsp_0(X2)|~v8_rlvect_1(X2)|~v7_rlvect_1(X2)|~v6_rlvect_1(X2)|~v5_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v13_algstr_0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_67]), c_0_68])).
cnf(c_0_71, plain, (m1_subset_1(k5_algstr_0(X1,X2,X3),u1_struct_0(X1))|~l2_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_69])).
cnf(c_0_72, plain, (m1_subset_1(esk7_4(X1,X2,X3,X4),u1_struct_0(X2))|v2_struct_0(X2)|v2_struct_0(X4)|~r2_hidden(X1,a_3_0_dualsp06(X2,X3,X4))|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~v3_normsp_0(X2)|~v4_normsp_0(X2)|~v2_normsp_1(X2)|~l1_normsp_1(X2)|~m1_subset_1(X3,u1_struct_0(X2))|~m1_rlsub_1(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_63])).
cnf(c_0_73, plain, (r2_hidden(X3,a_3_0_dualsp06(X2,X4,X5))|v2_struct_0(X2)|v2_struct_0(X5)|~m1_subset_1(X1,u1_struct_0(X2))|X3!=k2_normsp_0(X2,k5_algstr_0(X2,X4,X1))|~r1_struct_0(X5,X1)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~v3_normsp_0(X2)|~v4_normsp_0(X2)|~v2_normsp_1(X2)|~l1_normsp_1(X2)|~m1_subset_1(X4,u1_struct_0(X2))|~m1_rlsub_1(X5,X2)), inference(split_conjunct,[status(thm)],[c_0_63])).
fof(c_0_74, negated_conjecture, ~(![X1]:(((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:((~v2_struct_0(X3)&m1_rlsub_1(X3,X1))=>((~v1_xboole_0(a_3_0_dualsp06(X1,X2,X3))&v3_membered(a_3_0_dualsp06(X1,X2,X3)))&v3_xxreal_2(a_3_0_dualsp06(X1,X2,X3))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t18_dualsp06])])).
cnf(c_0_75, plain, (r2_hidden(X1,k1_numbers)|v1_xboole_0(u1_struct_0(X2))|v2_struct_0(X2)|v2_struct_0(X3)|~l2_algstr_0(X2)|~r2_hidden(X1,a_3_0_dualsp06(X2,X4,X3))|~m1_rlsub_1(X3,X2)|~m1_subset_1(X4,u1_struct_0(X2))|~l1_normsp_1(X2)|~v2_normsp_1(X2)|~v4_normsp_0(X2)|~v3_normsp_0(X2)|~v8_rlvect_1(X2)|~v7_rlvect_1(X2)|~v6_rlvect_1(X2)|~v5_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v13_algstr_0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_72])).
cnf(c_0_76, plain, (r2_hidden(k2_normsp_0(X1,k5_algstr_0(X1,X2,X3)),a_3_0_dualsp06(X1,X2,X4))|v2_struct_0(X4)|v2_struct_0(X1)|~r1_struct_0(X4,X3)|~m1_rlsub_1(X4,X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~l1_normsp_1(X1)|~v2_normsp_1(X1)|~v4_normsp_0(X1)|~v3_normsp_0(X1)|~v8_rlvect_1(X1)|~v7_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(er,[status(thm)],[c_0_73])).
fof(c_0_77, negated_conjecture, (((((((((((((~v2_struct_0(esk1_0)&v13_algstr_0(esk1_0))&v2_rlvect_1(esk1_0))&v3_rlvect_1(esk1_0))&v4_rlvect_1(esk1_0))&v5_rlvect_1(esk1_0))&v6_rlvect_1(esk1_0))&v7_rlvect_1(esk1_0))&v8_rlvect_1(esk1_0))&v3_normsp_0(esk1_0))&v4_normsp_0(esk1_0))&v2_normsp_1(esk1_0))&l1_normsp_1(esk1_0))&(m1_subset_1(esk2_0,u1_struct_0(esk1_0))&((~v2_struct_0(esk3_0)&m1_rlsub_1(esk3_0,esk1_0))&(v1_xboole_0(a_3_0_dualsp06(esk1_0,esk2_0,esk3_0))|~v3_membered(a_3_0_dualsp06(esk1_0,esk2_0,esk3_0))|~v3_xxreal_2(a_3_0_dualsp06(esk1_0,esk2_0,esk3_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])])])).
cnf(c_0_78, plain, (v1_xboole_0(u1_struct_0(X1))|m1_subset_1(k2_normsp_0(X1,X2),k1_numbers)|v2_struct_0(X1)|~l1_normsp_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(spm,[status(thm)],[c_0_55, c_0_62])).
cnf(c_0_79, plain, (r2_hidden(k2_normsp_0(X1,k5_algstr_0(X1,X2,X3)),k1_numbers)|v1_xboole_0(u1_struct_0(X1))|v2_struct_0(X4)|v2_struct_0(X1)|~r1_struct_0(X4,X3)|~l2_algstr_0(X1)|~m1_rlsub_1(X4,X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~l1_normsp_1(X1)|~v2_normsp_1(X1)|~v4_normsp_0(X1)|~v3_normsp_0(X1)|~v8_rlvect_1(X1)|~v7_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_75, c_0_76])).
cnf(c_0_80, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_81, negated_conjecture, (l1_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_82, negated_conjecture, (v2_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_83, negated_conjecture, (v4_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_84, negated_conjecture, (v3_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_85, negated_conjecture, (v8_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_86, negated_conjecture, (v7_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_87, negated_conjecture, (v6_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_88, negated_conjecture, (v5_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_89, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_90, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_91, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_92, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_93, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_77])).
fof(c_0_94, plain, ![X110]:(~l1_rlvect_1(X110)|l2_algstr_0(X110)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_rlvect_1])])).
cnf(c_0_95, plain, (v1_xboole_0(u1_struct_0(X1))|m1_subset_1(k2_normsp_0(X1,k5_algstr_0(X1,X2,X3)),k1_numbers)|v2_struct_0(X1)|~l2_algstr_0(X1)|~l1_normsp_0(X1)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))), inference(spm,[status(thm)],[c_0_78, c_0_71])).
cnf(c_0_96, negated_conjecture, (r2_hidden(k2_normsp_0(esk1_0,k5_algstr_0(esk1_0,esk2_0,X1)),k1_numbers)|v1_xboole_0(u1_struct_0(esk1_0))|v2_struct_0(X2)|~r1_struct_0(X2,X1)|~l2_algstr_0(esk1_0)|~m1_rlsub_1(X2,esk1_0)|~m1_subset_1(X1,u1_struct_0(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_89]), c_0_90]), c_0_91]), c_0_92])]), c_0_93])).
cnf(c_0_97, plain, (l2_algstr_0(X1)|~l1_rlvect_1(X1)), inference(split_conjunct,[status(thm)],[c_0_94])).
cnf(c_0_98, plain, (v1_xboole_0(u1_struct_0(X1))|m1_subset_1(k2_normsp_0(X1,k5_algstr_0(X1,X2,esk7_4(X3,X1,X4,X5))),k1_numbers)|v2_struct_0(X5)|v2_struct_0(X1)|~l2_algstr_0(X1)|~r2_hidden(X3,a_3_0_dualsp06(X1,X4,X5))|~m1_rlsub_1(X5,X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X4,u1_struct_0(X1))|~l1_normsp_1(X1)|~v2_normsp_1(X1)|~v4_normsp_0(X1)|~v3_normsp_0(X1)|~v8_rlvect_1(X1)|~v7_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_72]), c_0_68])).
cnf(c_0_99, negated_conjecture, (r2_hidden(k2_normsp_0(esk1_0,k5_algstr_0(esk1_0,esk2_0,X1)),k1_numbers)|v1_xboole_0(u1_struct_0(esk1_0))|v2_struct_0(X2)|~r1_struct_0(X2,X1)|~l1_rlvect_1(esk1_0)|~m1_rlsub_1(X2,esk1_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_96, c_0_97])).
cnf(c_0_100, plain, (l1_rlvect_1(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_101, plain, (v1_xboole_0(u1_struct_0(X1))|m1_subset_1(X2,k1_numbers)|v2_struct_0(X1)|v2_struct_0(X3)|~l2_algstr_0(X1)|~r2_hidden(X2,a_3_0_dualsp06(X1,X4,X3))|~m1_rlsub_1(X3,X1)|~m1_subset_1(X4,u1_struct_0(X1))|~l1_normsp_1(X1)|~v2_normsp_1(X1)|~v4_normsp_0(X1)|~v3_normsp_0(X1)|~v8_rlvect_1(X1)|~v7_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_98, c_0_67])).
cnf(c_0_102, negated_conjecture, (r2_hidden(k2_normsp_0(esk1_0,k5_algstr_0(esk1_0,esk2_0,X1)),k1_numbers)|v1_xboole_0(u1_struct_0(esk1_0))|v2_struct_0(X2)|~r1_struct_0(X2,X1)|~m1_rlsub_1(X2,esk1_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_100]), c_0_81])])).
cnf(c_0_103, plain, (v1_xboole_0(u1_struct_0(X1))|m1_subset_1(k2_normsp_0(X1,k5_algstr_0(X1,X2,X3)),k1_numbers)|v2_struct_0(X4)|v2_struct_0(X1)|~r1_struct_0(X4,X3)|~l2_algstr_0(X1)|~m1_rlsub_1(X4,X1)|~m1_subset_1(X2,u1_struct_0(X1))|~m1_subset_1(X3,u1_struct_0(X1))|~l1_normsp_1(X1)|~v2_normsp_1(X1)|~v4_normsp_0(X1)|~v3_normsp_0(X1)|~v8_rlvect_1(X1)|~v7_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(spm,[status(thm)],[c_0_101, c_0_76])).
cnf(c_0_104, negated_conjecture, (r2_hidden(X1,k1_numbers)|v1_xboole_0(u1_struct_0(esk1_0))|v2_struct_0(X2)|v2_struct_0(X3)|~r1_struct_0(X3,esk7_4(X1,esk1_0,esk2_0,X2))|~r2_hidden(X1,a_3_0_dualsp06(esk1_0,esk2_0,X2))|~m1_rlsub_1(X3,esk1_0)|~m1_rlsub_1(X2,esk1_0)|~m1_subset_1(esk7_4(X1,esk1_0,esk2_0,X2),u1_struct_0(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_67]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_89]), c_0_90]), c_0_91]), c_0_92])]), c_0_93])).
cnf(c_0_105, negated_conjecture, (v1_xboole_0(u1_struct_0(esk1_0))|m1_subset_1(k2_normsp_0(esk1_0,k5_algstr_0(esk1_0,esk2_0,X1)),k1_numbers)|v2_struct_0(X2)|~r1_struct_0(X2,X1)|~l2_algstr_0(esk1_0)|~m1_rlsub_1(X2,esk1_0)|~m1_subset_1(X1,u1_struct_0(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_89]), c_0_90]), c_0_91]), c_0_92])]), c_0_93])).
cnf(c_0_106, negated_conjecture, (r2_hidden(X1,k1_numbers)|v1_xboole_0(u1_struct_0(esk1_0))|v2_struct_0(X2)|v2_struct_0(X3)|~r1_struct_0(X2,esk7_4(X1,esk1_0,esk2_0,X3))|~r2_hidden(X1,a_3_0_dualsp06(esk1_0,esk2_0,X3))|~m1_rlsub_1(X2,esk1_0)|~m1_rlsub_1(X3,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_72]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_89]), c_0_90]), c_0_91]), c_0_92])]), c_0_93])).
cnf(c_0_107, plain, (r1_struct_0(X1,esk7_4(X2,X3,X4,X1))|v2_struct_0(X3)|v2_struct_0(X1)|~r2_hidden(X2,a_3_0_dualsp06(X3,X4,X1))|~v13_algstr_0(X3)|~v2_rlvect_1(X3)|~v3_rlvect_1(X3)|~v4_rlvect_1(X3)|~v5_rlvect_1(X3)|~v6_rlvect_1(X3)|~v7_rlvect_1(X3)|~v8_rlvect_1(X3)|~v3_normsp_0(X3)|~v4_normsp_0(X3)|~v2_normsp_1(X3)|~l1_normsp_1(X3)|~m1_subset_1(X4,u1_struct_0(X3))|~m1_rlsub_1(X1,X3)), inference(split_conjunct,[status(thm)],[c_0_63])).
fof(c_0_108, plain, ![X92, X93, X94, X95, X96]:((~r1_tarski(X92,X93)|(~r2_hidden(X94,X92)|r2_hidden(X94,X93)))&((r2_hidden(esk5_2(X95,X96),X95)|r1_tarski(X95,X96))&(~r2_hidden(esk5_2(X95,X96),X96)|r1_tarski(X95,X96)))), 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)],[d3_tarski])])])])])])).
cnf(c_0_109, negated_conjecture, (v1_xboole_0(u1_struct_0(esk1_0))|m1_subset_1(k2_normsp_0(esk1_0,k5_algstr_0(esk1_0,esk2_0,X1)),k1_numbers)|v2_struct_0(X2)|~r1_struct_0(X2,X1)|~l1_rlvect_1(esk1_0)|~m1_rlsub_1(X2,esk1_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_105, c_0_97])).
fof(c_0_110, plain, ![X73, X74]:(~v3_membered(X73)|(~m1_subset_1(X74,k1_zfmisc_1(X73))|v3_membered(X74))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc15_membered])])])).
fof(c_0_111, plain, ![X131, X132]:((~m1_subset_1(X131,k1_zfmisc_1(X132))|r1_tarski(X131,X132))&(~r1_tarski(X131,X132)|m1_subset_1(X131,k1_zfmisc_1(X132)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])).
cnf(c_0_112, negated_conjecture, (r2_hidden(X1,k1_numbers)|v1_xboole_0(u1_struct_0(esk1_0))|v2_struct_0(X2)|~r2_hidden(X1,a_3_0_dualsp06(esk1_0,esk2_0,X2))|~m1_rlsub_1(X2,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_107]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_89]), c_0_90]), c_0_91]), c_0_92])]), c_0_93])).
cnf(c_0_113, plain, (r2_hidden(esk5_2(X1,X2),X1)|r1_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_108])).
cnf(c_0_114, negated_conjecture, (v1_xboole_0(u1_struct_0(esk1_0))|m1_subset_1(k2_normsp_0(esk1_0,k5_algstr_0(esk1_0,esk2_0,X1)),k1_numbers)|v2_struct_0(X2)|~r1_struct_0(X2,X1)|~m1_rlsub_1(X2,esk1_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_100]), c_0_81])])).
cnf(c_0_115, plain, (v3_membered(X2)|~v3_membered(X1)|~m1_subset_1(X2,k1_zfmisc_1(X1))), inference(split_conjunct,[status(thm)],[c_0_110])).
cnf(c_0_116, plain, (m1_subset_1(X1,k1_zfmisc_1(X2))|~r1_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_111])).
cnf(c_0_117, plain, (r1_tarski(X1,X2)|~r2_hidden(esk5_2(X1,X2),X2)), inference(split_conjunct,[status(thm)],[c_0_108])).
cnf(c_0_118, negated_conjecture, (r1_tarski(a_3_0_dualsp06(esk1_0,esk2_0,X1),X2)|r2_hidden(esk5_2(a_3_0_dualsp06(esk1_0,esk2_0,X1),X2),k1_numbers)|v1_xboole_0(u1_struct_0(esk1_0))|v2_struct_0(X1)|~m1_rlsub_1(X1,esk1_0)), inference(spm,[status(thm)],[c_0_112, c_0_113])).
cnf(c_0_119, negated_conjecture, (v1_xboole_0(u1_struct_0(esk1_0))|m1_subset_1(X1,k1_numbers)|v2_struct_0(X2)|v2_struct_0(X3)|~r1_struct_0(X3,esk7_4(X1,esk1_0,esk2_0,X2))|~r2_hidden(X1,a_3_0_dualsp06(esk1_0,esk2_0,X2))|~m1_rlsub_1(X3,esk1_0)|~m1_rlsub_1(X2,esk1_0)|~m1_subset_1(esk7_4(X1,esk1_0,esk2_0,X2),u1_struct_0(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114, c_0_67]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_89]), c_0_90]), c_0_91]), c_0_92])]), c_0_93])).
fof(c_0_120, plain, ![X79]:(~v3_membered(X79)|v2_membered(X79)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_membered])])).
cnf(c_0_121, plain, (v3_membered(X1)|~r1_tarski(X1,X2)|~v3_membered(X2)), inference(spm,[status(thm)],[c_0_115, c_0_116])).
cnf(c_0_122, negated_conjecture, (r1_tarski(a_3_0_dualsp06(esk1_0,esk2_0,X1),k1_numbers)|v1_xboole_0(u1_struct_0(esk1_0))|v2_struct_0(X1)|~m1_rlsub_1(X1,esk1_0)), inference(spm,[status(thm)],[c_0_117, c_0_118])).
cnf(c_0_123, plain, (v3_membered(k1_numbers)), inference(split_conjunct,[status(thm)],[fc3_membered])).
fof(c_0_124, plain, ![X76]:(~v5_membered(X76)|v4_membered(X76)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_membered])])).
fof(c_0_125, plain, ![X75]:(~v6_membered(X75)|v5_membered(X75)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_membered])])).
cnf(c_0_126, negated_conjecture, (v1_xboole_0(u1_struct_0(esk1_0))|m1_subset_1(X1,k1_numbers)|v2_struct_0(X2)|v2_struct_0(X3)|~r1_struct_0(X2,esk7_4(X1,esk1_0,esk2_0,X3))|~r2_hidden(X1,a_3_0_dualsp06(esk1_0,esk2_0,X3))|~m1_rlsub_1(X2,esk1_0)|~m1_rlsub_1(X3,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_72]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_89]), c_0_90]), c_0_91]), c_0_92])]), c_0_93])).
fof(c_0_127, plain, ![X88, X89, X90]:((~m2_xxreal_2(X89,X88)|(~v1_xxreal_0(X90)|(~r2_hidden(X90,X88)|r1_xxreal_0(X89,X90)))|~v1_xxreal_0(X89)|~v2_membered(X88))&((v1_xxreal_0(esk4_2(X88,X89))|m2_xxreal_2(X89,X88)|~v1_xxreal_0(X89)|~v2_membered(X88))&((r2_hidden(esk4_2(X88,X89),X88)|m2_xxreal_2(X89,X88)|~v1_xxreal_0(X89)|~v2_membered(X88))&(~r1_xxreal_0(X89,esk4_2(X88,X89))|m2_xxreal_2(X89,X88)|~v1_xxreal_0(X89)|~v2_membered(X88))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_xxreal_2])])])])])).
cnf(c_0_128, plain, (v2_membered(X1)|~v3_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_120])).
cnf(c_0_129, negated_conjecture, (v3_membered(a_3_0_dualsp06(esk1_0,esk2_0,X1))|v1_xboole_0(u1_struct_0(esk1_0))|v2_struct_0(X1)|~m1_rlsub_1(X1,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_122]), c_0_123])])).
fof(c_0_130, plain, ![X78]:(~v4_membered(X78)|v3_membered(X78)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_membered])])).
cnf(c_0_131, plain, (v4_membered(X1)|~v5_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_124])).
cnf(c_0_132, plain, (v5_membered(X1)|~v6_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_125])).
fof(c_0_133, plain, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>~(((~r1_xxreal_0(X1,X2)&~v3_xxreal_0(X2))&~v2_xxreal_0(X1))))), inference(fof_simplification,[status(thm)],[t8_real])).
fof(c_0_134, plain, ![X84, X85]:(~v3_membered(X84)|(~m1_subset_1(X85,X84)|v1_xreal_0(X85))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_membered])])])).
cnf(c_0_135, negated_conjecture, (v1_xboole_0(u1_struct_0(esk1_0))|m1_subset_1(X1,k1_numbers)|v2_struct_0(X2)|~r2_hidden(X1,a_3_0_dualsp06(esk1_0,esk2_0,X2))|~m1_rlsub_1(X2,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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126, c_0_107]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_89]), c_0_90]), c_0_91]), c_0_92])]), c_0_93])).
cnf(c_0_136, plain, (r2_hidden(esk4_2(X1,X2),X1)|m2_xxreal_2(X2,X1)|~v1_xxreal_0(X2)|~v2_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_127])).
cnf(c_0_137, negated_conjecture, (v2_membered(a_3_0_dualsp06(esk1_0,esk2_0,X1))|v1_xboole_0(u1_struct_0(esk1_0))|v2_struct_0(X1)|~m1_rlsub_1(X1,esk1_0)), inference(spm,[status(thm)],[c_0_128, c_0_129])).
cnf(c_0_138, plain, (v3_membered(X1)|~v4_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_130])).
cnf(c_0_139, plain, (v4_membered(X1)|~v6_membered(X1)), inference(spm,[status(thm)],[c_0_131, c_0_132])).
fof(c_0_140, plain, ![X1, X2]:((((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>(~v3_xxreal_0(k2_normsp_0(X1,X2))&v1_xreal_0(k2_normsp_0(X1,X2)))), inference(fof_simplification,[status(thm)],[fc1_normsp_1])).
fof(c_0_141, plain, ![X136, X137]:(~v1_xreal_0(X136)|(~v1_xreal_0(X137)|(r1_xxreal_0(X136,X137)|v3_xxreal_0(X137)|v2_xxreal_0(X136)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_133])])])).
cnf(c_0_142, plain, (v1_xreal_0(X2)|~v3_membered(X1)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_134])).
cnf(c_0_143, negated_conjecture, (m2_xxreal_2(X1,a_3_0_dualsp06(esk1_0,esk2_0,X2))|v1_xboole_0(u1_struct_0(esk1_0))|m1_subset_1(esk4_2(a_3_0_dualsp06(esk1_0,esk2_0,X2),X1),k1_numbers)|v2_struct_0(X2)|~v1_xxreal_0(X1)|~m1_rlsub_1(X2,esk1_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135, c_0_136]), c_0_137])).
cnf(c_0_144, plain, (v3_membered(X1)|~v6_membered(X1)), inference(spm,[status(thm)],[c_0_138, c_0_139])).
cnf(c_0_145, plain, (v6_membered(k4_ordinal1)), inference(split_conjunct,[status(thm)],[fc6_membered])).
fof(c_0_146, plain, ![X114, X115]:((~v3_xxreal_0(k2_normsp_0(X114,X115))|(v2_struct_0(X114)|~v13_algstr_0(X114)|~v2_rlvect_1(X114)|~v3_rlvect_1(X114)|~v4_rlvect_1(X114)|~v5_rlvect_1(X114)|~v6_rlvect_1(X114)|~v7_rlvect_1(X114)|~v8_rlvect_1(X114)|~v3_normsp_0(X114)|~v4_normsp_0(X114)|~v2_normsp_1(X114)|~l1_normsp_1(X114)|~m1_subset_1(X115,u1_struct_0(X114))))&(v1_xreal_0(k2_normsp_0(X114,X115))|(v2_struct_0(X114)|~v13_algstr_0(X114)|~v2_rlvect_1(X114)|~v3_rlvect_1(X114)|~v4_rlvect_1(X114)|~v5_rlvect_1(X114)|~v6_rlvect_1(X114)|~v7_rlvect_1(X114)|~v8_rlvect_1(X114)|~v3_normsp_0(X114)|~v4_normsp_0(X114)|~v2_normsp_1(X114)|~l1_normsp_1(X114)|~m1_subset_1(X115,u1_struct_0(X114))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_140])])])).
cnf(c_0_147, plain, (r1_xxreal_0(X1,X2)|v3_xxreal_0(X2)|v2_xxreal_0(X1)|~v1_xreal_0(X1)|~v1_xreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_141])).
cnf(c_0_148, negated_conjecture, (m2_xxreal_2(X1,a_3_0_dualsp06(esk1_0,esk2_0,X2))|v1_xreal_0(esk4_2(a_3_0_dualsp06(esk1_0,esk2_0,X2),X1))|v1_xboole_0(u1_struct_0(esk1_0))|v2_struct_0(X2)|~v1_xxreal_0(X1)|~m1_rlsub_1(X2,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142, c_0_143]), c_0_123])])).
fof(c_0_149, plain, ![X81]:(~v1_xreal_0(X81)|v1_xxreal_0(X81)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_xreal_0])])).
cnf(c_0_150, plain, (m1_subset_1(k1_xboole_0,k4_ordinal1)), inference(split_conjunct,[status(thm)],[t1_numerals])).
cnf(c_0_151, plain, (v3_membered(k4_ordinal1)), inference(spm,[status(thm)],[c_0_144, c_0_145])).
cnf(c_0_152, plain, (v2_struct_0(X1)|~v3_xxreal_0(k2_normsp_0(X1,X2))|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_146])).
cnf(c_0_153, negated_conjecture, (v3_xxreal_0(esk4_2(a_3_0_dualsp06(esk1_0,esk2_0,X1),X2))|r1_xxreal_0(X3,esk4_2(a_3_0_dualsp06(esk1_0,esk2_0,X1),X2))|m2_xxreal_2(X2,a_3_0_dualsp06(esk1_0,esk2_0,X1))|v2_xxreal_0(X3)|v1_xboole_0(u1_struct_0(esk1_0))|v2_struct_0(X1)|~v1_xxreal_0(X2)|~v1_xreal_0(X3)|~m1_rlsub_1(X1,esk1_0)), inference(spm,[status(thm)],[c_0_147, c_0_148])).
cnf(c_0_154, negated_conjecture, (m1_rlsub_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_155, negated_conjecture, (~v2_struct_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_156, plain, (v1_xxreal_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_149])).
cnf(c_0_157, plain, (v1_xreal_0(k1_xboole_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142, c_0_150]), c_0_151])])).
cnf(c_0_158, plain, (v2_struct_0(X1)|v2_struct_0(X2)|~v3_xxreal_0(X3)|~r2_hidden(X3,a_3_0_dualsp06(X2,X4,X1))|~m1_rlsub_1(X1,X2)|~m1_subset_1(k5_algstr_0(X2,X4,esk7_4(X3,X2,X4,X1)),u1_struct_0(X2))|~m1_subset_1(X4,u1_struct_0(X2))|~l1_normsp_1(X2)|~v2_normsp_1(X2)|~v4_normsp_0(X2)|~v3_normsp_0(X2)|~v8_rlvect_1(X2)|~v7_rlvect_1(X2)|~v6_rlvect_1(X2)|~v5_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v13_algstr_0(X2)), inference(spm,[status(thm)],[c_0_152, c_0_67])).
cnf(c_0_159, negated_conjecture, (v3_xxreal_0(esk4_2(a_3_0_dualsp06(esk1_0,esk2_0,esk3_0),X1))|r1_xxreal_0(X2,esk4_2(a_3_0_dualsp06(esk1_0,esk2_0,esk3_0),X1))|m2_xxreal_2(X1,a_3_0_dualsp06(esk1_0,esk2_0,esk3_0))|v2_xxreal_0(X2)|v1_xboole_0(u1_struct_0(esk1_0))|~v1_xxreal_0(X1)|~v1_xreal_0(X2)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153, c_0_154]), c_0_155])).
cnf(c_0_160, plain, (v1_xxreal_0(k1_xboole_0)), inference(spm,[status(thm)],[c_0_156, c_0_157])).
cnf(c_0_161, plain, (v2_struct_0(X1)|v2_struct_0(X2)|~v3_xxreal_0(X3)|~l2_algstr_0(X1)|~r2_hidden(X3,a_3_0_dualsp06(X1,X4,X2))|~m1_rlsub_1(X2,X1)|~m1_subset_1(X4,u1_struct_0(X1))|~l1_normsp_1(X1)|~v2_normsp_1(X1)|~v4_normsp_0(X1)|~v3_normsp_0(X1)|~v8_rlvect_1(X1)|~v7_rlvect_1(X1)|~v6_rlvect_1(X1)|~v5_rlvect_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158, c_0_71]), c_0_72])).
cnf(c_0_162, negated_conjecture, (v3_xxreal_0(esk4_2(a_3_0_dualsp06(esk1_0,esk2_0,esk3_0),k1_xboole_0))|r1_xxreal_0(X1,esk4_2(a_3_0_dualsp06(esk1_0,esk2_0,esk3_0),k1_xboole_0))|m2_xxreal_2(k1_xboole_0,a_3_0_dualsp06(esk1_0,esk2_0,esk3_0))|v2_xxreal_0(X1)|v1_xboole_0(u1_struct_0(esk1_0))|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_159, c_0_160])).
cnf(c_0_163, plain, (m2_xxreal_2(X1,a_3_0_dualsp06(X2,X3,X4))|v2_struct_0(X4)|v2_struct_0(X2)|~v3_xxreal_0(esk4_2(a_3_0_dualsp06(X2,X3,X4),X1))|~l2_algstr_0(X2)|~v1_xxreal_0(X1)|~v2_membered(a_3_0_dualsp06(X2,X3,X4))|~m1_rlsub_1(X4,X2)|~m1_subset_1(X3,u1_struct_0(X2))|~l1_normsp_1(X2)|~v2_normsp_1(X2)|~v4_normsp_0(X2)|~v3_normsp_0(X2)|~v8_rlvect_1(X2)|~v7_rlvect_1(X2)|~v6_rlvect_1(X2)|~v5_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v13_algstr_0(X2)), inference(spm,[status(thm)],[c_0_161, c_0_136])).
cnf(c_0_164, negated_conjecture, (v3_xxreal_0(esk4_2(a_3_0_dualsp06(esk1_0,esk2_0,esk3_0),k1_xboole_0))|r1_xxreal_0(k1_xboole_0,esk4_2(a_3_0_dualsp06(esk1_0,esk2_0,esk3_0),k1_xboole_0))|m2_xxreal_2(k1_xboole_0,a_3_0_dualsp06(esk1_0,esk2_0,esk3_0))|v2_xxreal_0(k1_xboole_0)|v1_xboole_0(u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_162, c_0_157])).
fof(c_0_165, plain, ![X98, X100]:(((v1_xreal_0(esk6_1(X98))|~v3_xxreal_2(X98)|~v2_membered(X98))&(m2_xxreal_2(esk6_1(X98),X98)|~v3_xxreal_2(X98)|~v2_membered(X98)))&(~v1_xreal_0(X100)|~m2_xxreal_2(X100,X98)|v3_xxreal_2(X98)|~v2_membered(X98))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_xxreal_2])])])])])).
cnf(c_0_166, plain, (m2_xxreal_2(X1,X2)|~r1_xxreal_0(X1,esk4_2(X2,X1))|~v1_xxreal_0(X1)|~v2_membered(X2)), inference(split_conjunct,[status(thm)],[c_0_127])).
cnf(c_0_167, negated_conjecture, (r1_xxreal_0(k1_xboole_0,esk4_2(a_3_0_dualsp06(esk1_0,esk2_0,esk3_0),k1_xboole_0))|m2_xxreal_2(k1_xboole_0,a_3_0_dualsp06(esk1_0,esk2_0,esk3_0))|v2_xxreal_0(k1_xboole_0)|v1_xboole_0(u1_struct_0(esk1_0))|~l2_algstr_0(esk1_0)|~v2_membered(a_3_0_dualsp06(esk1_0,esk2_0,esk3_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163, c_0_164]), c_0_160]), c_0_154]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_89]), c_0_90]), c_0_91]), c_0_92])]), c_0_155]), c_0_93])).
fof(c_0_168, plain, ![X134, X135]:(~r2_tarski(X134,X135)|~v1_xboole_0(X135)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])).
cnf(c_0_169, plain, (v3_xxreal_2(X2)|~v1_xreal_0(X1)|~m2_xxreal_2(X1,X2)|~v2_membered(X2)), inference(split_conjunct,[status(thm)],[c_0_165])).
cnf(c_0_170, negated_conjecture, (m2_xxreal_2(k1_xboole_0,a_3_0_dualsp06(esk1_0,esk2_0,esk3_0))|v2_xxreal_0(k1_xboole_0)|v1_xboole_0(u1_struct_0(esk1_0))|~l2_algstr_0(esk1_0)|~v2_membered(a_3_0_dualsp06(esk1_0,esk2_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166, c_0_167]), c_0_160])])).
cnf(c_0_171, plain, (~r2_tarski(X1,X2)|~v1_xboole_0(X2)), inference(split_conjunct,[status(thm)],[c_0_168])).
cnf(c_0_172, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_173, negated_conjecture, (v1_xboole_0(a_3_0_dualsp06(esk1_0,esk2_0,esk3_0))|~v3_membered(a_3_0_dualsp06(esk1_0,esk2_0,esk3_0))|~v3_xxreal_2(a_3_0_dualsp06(esk1_0,esk2_0,esk3_0))), inference(split_conjunct,[status(thm)],[c_0_77])).
cnf(c_0_174, negated_conjecture, (v2_xxreal_0(k1_xboole_0)|v3_xxreal_2(a_3_0_dualsp06(esk1_0,esk2_0,esk3_0))|v1_xboole_0(u1_struct_0(esk1_0))|~l2_algstr_0(esk1_0)|~v2_membered(a_3_0_dualsp06(esk1_0,esk2_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169, c_0_170]), c_0_157])])).
cnf(c_0_175, plain, (~r2_hidden(X1,X2)|~v1_xboole_0(X2)), inference(spm,[status(thm)],[c_0_171, c_0_172])).
cnf(c_0_176, negated_conjecture, (v2_xxreal_0(k1_xboole_0)|v1_xboole_0(a_3_0_dualsp06(esk1_0,esk2_0,esk3_0))|v1_xboole_0(u1_struct_0(esk1_0))|~l2_algstr_0(esk1_0)|~v3_membered(a_3_0_dualsp06(esk1_0,esk2_0,esk3_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173, c_0_174]), c_0_128])).
cnf(c_0_177, plain, (v2_struct_0(X1)|v2_struct_0(X2)|~r1_struct_0(X1,X3)|~v1_xboole_0(a_3_0_dualsp06(X2,X4,X1))|~m1_rlsub_1(X1,X2)|~m1_subset_1(X4,u1_struct_0(X2))|~m1_subset_1(X3,u1_struct_0(X2))|~l1_normsp_1(X2)|~v2_normsp_1(X2)|~v4_normsp_0(X2)|~v3_normsp_0(X2)|~v8_rlvect_1(X2)|~v7_rlvect_1(X2)|~v6_rlvect_1(X2)|~v5_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v13_algstr_0(X2)), inference(spm,[status(thm)],[c_0_175, c_0_76])).
cnf(c_0_178, negated_conjecture, (v2_xxreal_0(k1_xboole_0)|v1_xboole_0(a_3_0_dualsp06(esk1_0,esk2_0,esk3_0))|v1_xboole_0(u1_struct_0(esk1_0))|~l2_algstr_0(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176, c_0_129]), c_0_154])]), c_0_155])).
cnf(c_0_179, negated_conjecture, (v2_xxreal_0(k1_xboole_0)|v1_xboole_0(u1_struct_0(esk1_0))|~r1_struct_0(esk3_0,X1)|~l2_algstr_0(esk1_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177, c_0_178]), c_0_154]), c_0_80]), c_0_81]), c_0_82]), c_0_83]), c_0_84]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_89]), c_0_90]), c_0_91]), c_0_92])]), c_0_155]), c_0_93])).
cnf(c_0_180, negated_conjecture, (v2_xxreal_0(k1_xboole_0)|v1_xboole_0(u1_struct_0(esk1_0))|~r1_struct_0(esk3_0,X1)|~l1_rlvect_1(esk1_0)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_179, c_0_97])).
fof(c_0_181, plain, ![X105]:(~l2_struct_0(X105)|m1_subset_1(k4_struct_0(X105),u1_struct_0(X105))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_struct_0])])).
fof(c_0_182, plain, ![X1]:((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&l1_rlvect_1(X1))=>![X2]:(m1_rlsub_1(X2,X1)=>r1_struct_0(X2,k4_struct_0(X1)))), inference(fof_simplification,[status(thm)],[t17_rlsub_1])).
fof(c_0_183, plain, ![X1]:((~v2_struct_0(X1)&l1_struct_0(X1))=>~v1_xboole_0(u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[fc2_struct_0])).
cnf(c_0_184, negated_conjecture, (v2_xxreal_0(k1_xboole_0)|v1_xboole_0(u1_struct_0(esk1_0))|~r1_struct_0(esk3_0,X1)|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180, c_0_100]), c_0_81])])).
cnf(c_0_185, plain, (m1_subset_1(k4_struct_0(X1),u1_struct_0(X1))|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_181])).
fof(c_0_186, plain, ![X127, X128]:(v2_struct_0(X127)|~v13_algstr_0(X127)|~v2_rlvect_1(X127)|~v3_rlvect_1(X127)|~v4_rlvect_1(X127)|~v5_rlvect_1(X127)|~v6_rlvect_1(X127)|~v7_rlvect_1(X127)|~v8_rlvect_1(X127)|~l1_rlvect_1(X127)|(~m1_rlsub_1(X128,X127)|r1_struct_0(X128,k4_struct_0(X127)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_182])])])).
fof(c_0_187, plain, ![X116]:(v2_struct_0(X116)|~l1_struct_0(X116)|~v1_xboole_0(u1_struct_0(X116))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_183])])).
cnf(c_0_188, negated_conjecture, (v2_xxreal_0(k1_xboole_0)|v1_xboole_0(u1_struct_0(esk1_0))|~r1_struct_0(esk3_0,k4_struct_0(esk1_0))|~l2_struct_0(esk1_0)), inference(spm,[status(thm)],[c_0_184, c_0_185])).
cnf(c_0_189, plain, (v2_struct_0(X1)|r1_struct_0(X2,k4_struct_0(X1))|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~l1_rlvect_1(X1)|~m1_rlsub_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_186])).
fof(c_0_190, plain, ![X112]:(~l2_struct_0(X112)|l1_struct_0(X112)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_struct_0])])).
cnf(c_0_191, plain, (v2_struct_0(X1)|~l1_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_187])).
cnf(c_0_192, negated_conjecture, (v2_xxreal_0(k1_xboole_0)|v1_xboole_0(u1_struct_0(esk1_0))|~l1_rlvect_1(esk1_0)|~l2_struct_0(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_188, c_0_189]), c_0_154]), c_0_85]), c_0_86]), c_0_87]), c_0_88]), c_0_89]), c_0_90]), c_0_91]), c_0_92])]), c_0_93])).
cnf(c_0_193, plain, (l1_struct_0(X1)|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_190])).
fof(c_0_194, plain, ![X83]:(~v3_card_1(X83,k5_ordinal1)|v1_xboole_0(X83)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc7_card_1])])).
fof(c_0_195, plain, ![X123]:(~v1_card_1(X123)|v3_card_1(esk8_1(X123),X123)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rc7_card_1])])])).
fof(c_0_196, plain, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~v2_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc4_nat_1])).
cnf(c_0_197, negated_conjecture, (v2_xxreal_0(k1_xboole_0)|~l1_rlvect_1(esk1_0)|~l2_struct_0(esk1_0)), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_191, c_0_192]), c_0_93]), c_0_193])).
fof(c_0_198, plain, ![X133]:(~v1_xboole_0(X133)|X133=k1_xboole_0), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])])).
cnf(c_0_199, plain, (v1_xboole_0(X1)|~v3_card_1(X1,k5_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_194])).
cnf(c_0_200, plain, (v3_card_1(esk8_1(X1),X1)|~v1_card_1(X1)), inference(split_conjunct,[status(thm)],[c_0_195])).
fof(c_0_201, plain, ![X80]:((v7_ordinal1(X80)|(~v7_ordinal1(X80)|~v8_ordinal1(X80)))&(~v2_xxreal_0(X80)|(~v7_ordinal1(X80)|~v8_ordinal1(X80)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_196])])])).
fof(c_0_202, plain, ![X72]:(~v8_ordinal1(X72)|v7_ordinal1(X72)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc11_ordinal1])])).
cnf(c_0_203, negated_conjecture, (v2_xxreal_0(k1_xboole_0)|~l2_struct_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197, c_0_100]), c_0_81])])).
cnf(c_0_204, plain, (l2_struct_0(X1)|~l2_normsp_0(X1)), inference(split_conjunct,[status(thm)],[c_0_59])).
cnf(c_0_205, plain, (X1=k1_xboole_0|~v1_xboole_0(X1)), inference(split_conjunct,[status(thm)],[c_0_198])).
cnf(c_0_206, plain, (v1_xboole_0(esk8_1(k5_ordinal1))|~v1_card_1(k5_ordinal1)), inference(spm,[status(thm)],[c_0_199, c_0_200])).
cnf(c_0_207, plain, (~v2_xxreal_0(X1)|~v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_201])).
cnf(c_0_208, plain, (v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_202])).
cnf(c_0_209, negated_conjecture, (v2_xxreal_0(k1_xboole_0)|~l2_normsp_0(esk1_0)), inference(spm,[status(thm)],[c_0_203, c_0_204])).
fof(c_0_210, plain, ![X1]:(~v8_ordinal1(X1)=>~v1_xboole_0(X1)), inference(fof_simplification,[status(thm)],[cc6_nat_1])).
cnf(c_0_211, plain, (esk8_1(k5_ordinal1)=k1_xboole_0|~v1_card_1(k5_ordinal1)), inference(spm,[status(thm)],[c_0_205, c_0_206])).
fof(c_0_212, plain, ![X77]:(~v7_ordinal1(X77)|v1_card_1(X77)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_card_1])])).
cnf(c_0_213, plain, (~v2_xxreal_0(X1)|~v8_ordinal1(X1)), inference(csr,[status(thm)],[c_0_207, c_0_208])).
cnf(c_0_214, negated_conjecture, (v2_xxreal_0(k1_xboole_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209, c_0_65]), c_0_81])])).
fof(c_0_215, plain, ![X82]:(v8_ordinal1(X82)|~v1_xboole_0(X82)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_210])])).
cnf(c_0_216, plain, (v1_xboole_0(k1_xboole_0)|~v1_card_1(k5_ordinal1)), inference(spm,[status(thm)],[c_0_206, c_0_211])).
cnf(c_0_217, plain, (v1_card_1(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_212])).
cnf(c_0_218, plain, (v7_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc8_ordinal1])).
cnf(c_0_219, negated_conjecture, (~v8_ordinal1(k1_xboole_0)), inference(spm,[status(thm)],[c_0_213, c_0_214])).
cnf(c_0_220, plain, (v8_ordinal1(X1)|~v1_xboole_0(X1)), inference(split_conjunct,[status(thm)],[c_0_215])).
cnf(c_0_221, plain, (v1_xboole_0(k1_xboole_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216, c_0_217]), c_0_218])])).
cnf(c_0_222, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219, c_0_220]), c_0_221])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 223
# Proof object clause steps            : 135
# Proof object formula steps           : 88
# Proof object conjectures             : 58
# Proof object clause conjectures      : 55
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 67
# Proof object initial formulas used   : 41
# Proof object generating inferences   : 66
# Proof object simplifying inferences  : 205
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 42
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 76
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 75
# Processed clauses                    : 7357
# ...of these trivial                  : 1
# ...subsumed                          : 1681
# ...remaining for further processing  : 5675
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 1527
# Backward-rewritten                   : 127
# Generated clauses                    : 18893
# ...of the previous two non-trivial   : 17689
# Contextual simplify-reflections      : 246
# Paramodulations                      : 18712
# Factorizations                       : 180
# NegExts                              : 0
# Equation resolutions                 : 1
# 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  : 3945
#    Positive orientable unit clauses  : 32
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 3909
# Current number of unprocessed clauses: 10046
# ...number of literals in the above   : 175063
# Current number of archived formulas  : 0
# Current number of archived clauses   : 1729
# Clause-clause subsumption calls (NU) : 7790752
# Rec. Clause-clause subsumption calls : 77156
# Non-unit clause-clause subsumptions  : 3003
# Unit Clause-clause subsumption calls : 19804
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 6
# BW rewrite match successes           : 5
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 1196537

# -------------------------------------------------
# User time                : 162.647 s
# System time              : 2.168 s
# Total time               : 164.815 s
# Maximum resident set size: 3316 pages
