# 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       : 0.020 s
# Presaturation interreduction done

# Failure: User resource limit exceeded!
# Parsed axioms                        : 13
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 33
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 33
# Processed clauses                    : 102799
# ...of these trivial                  : 611
# ...subsumed                          : 72982
# ...remaining for further processing  : 29206
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 203716
# Backward-subsumed                    : 5702
# Backward-rewritten                   : 0
# Generated clauses                    : 3711426
# ...of the previous two non-trivial   : 3710337
# Contextual simplify-reflections      : 1332
# Paramodulations                      : 3708603
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 2823
# 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  : 23471
#    Positive orientable unit clauses  : 16
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 23453
# Current number of unprocessed clauses: 1023180
# ...number of literals in the above   : 9238220
# Current number of archived formulas  : 0
# Current number of archived clauses   : 5735
# Clause-clause subsumption calls (NU) : 118676306
# Rec. Clause-clause subsumption calls : 933073
# Non-unit clause-clause subsumptions  : 80016
# Unit Clause-clause subsumption calls : 0
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 0
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 221211249
# No success with AutoSched0
# Trying AutoSched1 for 71 seconds
# AutoSched1-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
# and selection function PSelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t29_dualsp01, 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))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k17_dualsp01(X1)))=>![X3]:(m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))=>![X4]:(m1_subset_1(X4,u1_struct_0(k17_dualsp01(X1)))=>(X4=k1_algstr_0(k17_dualsp01(X1),X2,X3)<=>![X5]:(m1_subset_1(X5,u1_struct_0(X1))=>k18_dualsp01(X1,X4,X5)=k2_xcmplx_0(k18_dualsp01(X1,X2,X5),k18_dualsp01(X1,X3,X5)))))))), file('dualsp06/dualsp06__t12_dualsp06', t29_dualsp01)).
fof(d2_dualsp06, 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))&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]:(m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))=>k2_dualsp06(X1,X2,X3)=k18_dualsp01(X1,X3,X2)))), file('dualsp06/dualsp06__t12_dualsp06', d2_dualsp06)).
fof(d14_algstr_0, axiom, ![X1]:(l2_algstr_0(X1)=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>![X3]:(m1_subset_1(X3,u1_struct_0(X1))=>k5_algstr_0(X1,X2,X3)=k1_algstr_0(X1,X2,k4_algstr_0(X1,X3))))), file('dualsp06/dualsp06__t12_dualsp06', d14_algstr_0)).
fof(dt_k4_algstr_0, axiom, ![X1, X2]:((l2_algstr_0(X1)&m1_subset_1(X2,u1_struct_0(X1)))=>m1_subset_1(k4_algstr_0(X1,X2),u1_struct_0(X1))), file('dualsp06/dualsp06__t12_dualsp06', dt_k4_algstr_0)).
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__t12_dualsp06', dt_k5_algstr_0)).
fof(t12_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]:(m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))=>![X4]:(m1_subset_1(X4,u1_struct_0(k17_dualsp01(X1)))=>k2_dualsp06(X1,X2,k5_algstr_0(k17_dualsp01(X1),X3,X4))=k6_xcmplx_0(k2_dualsp06(X1,X2,X3),k2_dualsp06(X1,X2,X4)))))), file('dualsp06/dualsp06__t12_dualsp06', t12_dualsp06)).
fof(t9_dualsp06, 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))&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]:(m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))=>k2_dualsp06(X1,X2,k4_algstr_0(k17_dualsp01(X1),X3))=k4_xcmplx_0(k2_dualsp06(X1,X2,X3))))), file('dualsp06/dualsp06__t12_dualsp06', t9_dualsp06)).
fof(dt_k2_dualsp06, axiom, ![X1, X2, X3]:(((((((((((((((~(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)))&m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1))))=>v1_xreal_0(k2_dualsp06(X1,X2,X3))), file('dualsp06/dualsp06__t12_dualsp06', dt_k2_dualsp06)).
fof(cc3_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xcmplx_0(X1)), file('dualsp06/dualsp06__t12_dualsp06', cc3_xreal_0)).
fof(spc1_arithm, axiom, ![X1, X2]:((v1_xcmplx_0(X1)&v1_xcmplx_0(X2))=>k2_xcmplx_0(X1,k4_xcmplx_0(X2))=k6_xcmplx_0(X1,X2)), file('dualsp06/dualsp06__t12_dualsp06', spc1_arithm)).
fof(dt_k17_dualsp01, 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))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>(~(v2_struct_0(k17_dualsp01(X1)))&l1_normsp_1(k17_dualsp01(X1)))), file('dualsp06/dualsp06__t12_dualsp06', dt_k17_dualsp01)).
fof(dt_l1_rlvect_1, axiom, ![X1]:(l1_rlvect_1(X1)=>l2_algstr_0(X1)), file('dualsp06/dualsp06__t12_dualsp06', dt_l1_rlvect_1)).
fof(dt_l1_normsp_1, axiom, ![X1]:(l1_normsp_1(X1)=>(l1_rlvect_1(X1)&l2_normsp_0(X1))), file('dualsp06/dualsp06__t12_dualsp06', dt_l1_normsp_1)).
fof(c_0_13, 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))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(k17_dualsp01(X1)))=>![X3]:(m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))=>![X4]:(m1_subset_1(X4,u1_struct_0(k17_dualsp01(X1)))=>(X4=k1_algstr_0(k17_dualsp01(X1),X2,X3)<=>![X5]:(m1_subset_1(X5,u1_struct_0(X1))=>k18_dualsp01(X1,X4,X5)=k2_xcmplx_0(k18_dualsp01(X1,X2,X5),k18_dualsp01(X1,X3,X5)))))))), inference(fof_simplification,[status(thm)],[t29_dualsp01])).
fof(c_0_14, plain, ![X62, X63, X64, X65, X66]:((X65!=k1_algstr_0(k17_dualsp01(X62),X63,X64)|(~m1_subset_1(X66,u1_struct_0(X62))|k18_dualsp01(X62,X65,X66)=k2_xcmplx_0(k18_dualsp01(X62,X63,X66),k18_dualsp01(X62,X64,X66)))|~m1_subset_1(X65,u1_struct_0(k17_dualsp01(X62)))|~m1_subset_1(X64,u1_struct_0(k17_dualsp01(X62)))|~m1_subset_1(X63,u1_struct_0(k17_dualsp01(X62)))|(v2_struct_0(X62)|~v13_algstr_0(X62)|~v2_rlvect_1(X62)|~v3_rlvect_1(X62)|~v4_rlvect_1(X62)|~v5_rlvect_1(X62)|~v6_rlvect_1(X62)|~v7_rlvect_1(X62)|~v8_rlvect_1(X62)|~v3_normsp_0(X62)|~v4_normsp_0(X62)|~v2_normsp_1(X62)|~l1_normsp_1(X62)))&((m1_subset_1(esk5_4(X62,X63,X64,X65),u1_struct_0(X62))|X65=k1_algstr_0(k17_dualsp01(X62),X63,X64)|~m1_subset_1(X65,u1_struct_0(k17_dualsp01(X62)))|~m1_subset_1(X64,u1_struct_0(k17_dualsp01(X62)))|~m1_subset_1(X63,u1_struct_0(k17_dualsp01(X62)))|(v2_struct_0(X62)|~v13_algstr_0(X62)|~v2_rlvect_1(X62)|~v3_rlvect_1(X62)|~v4_rlvect_1(X62)|~v5_rlvect_1(X62)|~v6_rlvect_1(X62)|~v7_rlvect_1(X62)|~v8_rlvect_1(X62)|~v3_normsp_0(X62)|~v4_normsp_0(X62)|~v2_normsp_1(X62)|~l1_normsp_1(X62)))&(k18_dualsp01(X62,X65,esk5_4(X62,X63,X64,X65))!=k2_xcmplx_0(k18_dualsp01(X62,X63,esk5_4(X62,X63,X64,X65)),k18_dualsp01(X62,X64,esk5_4(X62,X63,X64,X65)))|X65=k1_algstr_0(k17_dualsp01(X62),X63,X64)|~m1_subset_1(X65,u1_struct_0(k17_dualsp01(X62)))|~m1_subset_1(X64,u1_struct_0(k17_dualsp01(X62)))|~m1_subset_1(X63,u1_struct_0(k17_dualsp01(X62)))|(v2_struct_0(X62)|~v13_algstr_0(X62)|~v2_rlvect_1(X62)|~v3_rlvect_1(X62)|~v4_rlvect_1(X62)|~v5_rlvect_1(X62)|~v6_rlvect_1(X62)|~v7_rlvect_1(X62)|~v8_rlvect_1(X62)|~v3_normsp_0(X62)|~v4_normsp_0(X62)|~v2_normsp_1(X62)|~l1_normsp_1(X62))))), 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_13])])])])])).
fof(c_0_15, 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))&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]:(m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))=>k2_dualsp06(X1,X2,X3)=k18_dualsp01(X1,X3,X2)))), inference(fof_simplification,[status(thm)],[d2_dualsp06])).
cnf(c_0_16, plain, (k18_dualsp01(X2,X1,X5)=k2_xcmplx_0(k18_dualsp01(X2,X3,X5),k18_dualsp01(X2,X4,X5))|v2_struct_0(X2)|X1!=k1_algstr_0(k17_dualsp01(X2),X3,X4)|~m1_subset_1(X5,u1_struct_0(X2))|~m1_subset_1(X1,u1_struct_0(k17_dualsp01(X2)))|~m1_subset_1(X4,u1_struct_0(k17_dualsp01(X2)))|~m1_subset_1(X3,u1_struct_0(k17_dualsp01(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)), inference(split_conjunct,[status(thm)],[c_0_14])).
fof(c_0_17, plain, ![X43, X44, X45]:(~l2_algstr_0(X43)|(~m1_subset_1(X44,u1_struct_0(X43))|(~m1_subset_1(X45,u1_struct_0(X43))|k5_algstr_0(X43,X44,X45)=k1_algstr_0(X43,X44,k4_algstr_0(X43,X45))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d14_algstr_0])])])).
fof(c_0_18, plain, ![X53, X54]:(~l2_algstr_0(X53)|~m1_subset_1(X54,u1_struct_0(X53))|m1_subset_1(k4_algstr_0(X53,X54),u1_struct_0(X53))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_algstr_0])])).
fof(c_0_19, plain, ![X55, X56, X57]:(~l2_algstr_0(X55)|~m1_subset_1(X56,u1_struct_0(X55))|~m1_subset_1(X57,u1_struct_0(X55))|m1_subset_1(k5_algstr_0(X55,X56,X57),u1_struct_0(X55))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_algstr_0])])).
fof(c_0_20, 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]:(m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))=>![X4]:(m1_subset_1(X4,u1_struct_0(k17_dualsp01(X1)))=>k2_dualsp06(X1,X2,k5_algstr_0(k17_dualsp01(X1),X3,X4))=k6_xcmplx_0(k2_dualsp06(X1,X2,X3),k2_dualsp06(X1,X2,X4))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t12_dualsp06])])).
fof(c_0_21, plain, ![X46, X47, X48]:(v2_struct_0(X46)|~v13_algstr_0(X46)|~v2_rlvect_1(X46)|~v3_rlvect_1(X46)|~v4_rlvect_1(X46)|~v5_rlvect_1(X46)|~v6_rlvect_1(X46)|~v7_rlvect_1(X46)|~v8_rlvect_1(X46)|~v3_normsp_0(X46)|~v4_normsp_0(X46)|~v2_normsp_1(X46)|~l1_normsp_1(X46)|(~m1_subset_1(X47,u1_struct_0(X46))|(~m1_subset_1(X48,u1_struct_0(k17_dualsp01(X46)))|k2_dualsp06(X46,X47,X48)=k18_dualsp01(X46,X48,X47)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])).
cnf(c_0_22, plain, (k2_xcmplx_0(k18_dualsp01(X1,X2,X3),k18_dualsp01(X1,X4,X3))=k18_dualsp01(X1,k1_algstr_0(k17_dualsp01(X1),X2,X4),X3)|v2_struct_0(X1)|~m1_subset_1(k1_algstr_0(k17_dualsp01(X1),X2,X4),u1_struct_0(k17_dualsp01(X1)))|~m1_subset_1(X4,u1_struct_0(k17_dualsp01(X1)))|~m1_subset_1(X2,u1_struct_0(k17_dualsp01(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_16])).
cnf(c_0_23, plain, (k5_algstr_0(X1,X2,X3)=k1_algstr_0(X1,X2,k4_algstr_0(X1,X3))|~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_17])).
cnf(c_0_24, plain, (m1_subset_1(k4_algstr_0(X1,X2),u1_struct_0(X1))|~l2_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_25, 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_19])).
fof(c_0_26, 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))&(m1_subset_1(esk3_0,u1_struct_0(k17_dualsp01(esk1_0)))&(m1_subset_1(esk4_0,u1_struct_0(k17_dualsp01(esk1_0)))&k2_dualsp06(esk1_0,esk2_0,k5_algstr_0(k17_dualsp01(esk1_0),esk3_0,esk4_0))!=k6_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0),k2_dualsp06(esk1_0,esk2_0,esk4_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])).
cnf(c_0_27, plain, (v2_struct_0(X1)|k2_dualsp06(X1,X2,X3)=k18_dualsp01(X1,X3,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))|~m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))), inference(split_conjunct,[status(thm)],[c_0_21])).
fof(c_0_28, 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))&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]:(m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))=>k2_dualsp06(X1,X2,k4_algstr_0(k17_dualsp01(X1),X3))=k4_xcmplx_0(k2_dualsp06(X1,X2,X3))))), inference(fof_simplification,[status(thm)],[t9_dualsp06])).
fof(c_0_29, plain, ![X1, X2, X3]:(((((((((((((((~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)))&m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1))))=>v1_xreal_0(k2_dualsp06(X1,X2,X3))), inference(fof_simplification,[status(thm)],[dt_k2_dualsp06])).
cnf(c_0_30, plain, (k2_xcmplx_0(k18_dualsp01(X1,X2,X3),k18_dualsp01(X1,k4_algstr_0(k17_dualsp01(X1),X4),X3))=k18_dualsp01(X1,k5_algstr_0(k17_dualsp01(X1),X2,X4),X3)|v2_struct_0(X1)|~l2_algstr_0(k17_dualsp01(X1))|~m1_subset_1(X2,u1_struct_0(k17_dualsp01(X1)))|~m1_subset_1(X4,u1_struct_0(k17_dualsp01(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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24]), c_0_25])).
cnf(c_0_31, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(k17_dualsp01(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_32, negated_conjecture, (l1_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_33, negated_conjecture, (v2_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_34, negated_conjecture, (v4_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_35, negated_conjecture, (v3_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_36, negated_conjecture, (v8_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_37, negated_conjecture, (v7_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_38, negated_conjecture, (v6_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_39, negated_conjecture, (v5_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_40, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_41, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_42, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_43, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_44, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_45, plain, (k18_dualsp01(X1,k4_algstr_0(k17_dualsp01(X1),X2),X3)=k2_dualsp06(X1,X3,k4_algstr_0(k17_dualsp01(X1),X2))|v2_struct_0(X1)|~l2_algstr_0(k17_dualsp01(X1))|~m1_subset_1(X2,u1_struct_0(k17_dualsp01(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_27, c_0_24])).
cnf(c_0_46, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(k17_dualsp01(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_26])).
fof(c_0_47, plain, ![X68, X69, X70]:(v2_struct_0(X68)|~v13_algstr_0(X68)|~v2_rlvect_1(X68)|~v3_rlvect_1(X68)|~v4_rlvect_1(X68)|~v5_rlvect_1(X68)|~v6_rlvect_1(X68)|~v7_rlvect_1(X68)|~v8_rlvect_1(X68)|~v3_normsp_0(X68)|~v4_normsp_0(X68)|~v2_normsp_1(X68)|~l1_normsp_1(X68)|(~m1_subset_1(X69,u1_struct_0(X68))|(~m1_subset_1(X70,u1_struct_0(k17_dualsp01(X68)))|k2_dualsp06(X68,X69,k4_algstr_0(k17_dualsp01(X68),X70))=k4_xcmplx_0(k2_dualsp06(X68,X69,X70))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])).
fof(c_0_48, plain, ![X50, X51, X52]:(v2_struct_0(X50)|~v13_algstr_0(X50)|~v2_rlvect_1(X50)|~v3_rlvect_1(X50)|~v4_rlvect_1(X50)|~v5_rlvect_1(X50)|~v6_rlvect_1(X50)|~v7_rlvect_1(X50)|~v8_rlvect_1(X50)|~v3_normsp_0(X50)|~v4_normsp_0(X50)|~v2_normsp_1(X50)|~l1_normsp_1(X50)|~m1_subset_1(X51,u1_struct_0(X50))|~m1_subset_1(X52,u1_struct_0(k17_dualsp01(X50)))|v1_xreal_0(k2_dualsp06(X50,X51,X52))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])).
cnf(c_0_49, negated_conjecture, (k2_xcmplx_0(k18_dualsp01(esk1_0,esk3_0,X1),k18_dualsp01(esk1_0,k4_algstr_0(k17_dualsp01(esk1_0),X2),X1))=k18_dualsp01(esk1_0,k5_algstr_0(k17_dualsp01(esk1_0),esk3_0,X2),X1)|~l2_algstr_0(k17_dualsp01(esk1_0))|~m1_subset_1(X2,u1_struct_0(k17_dualsp01(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_30, c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43])]), c_0_44])).
cnf(c_0_50, negated_conjecture, (k18_dualsp01(esk1_0,k4_algstr_0(k17_dualsp01(esk1_0),esk4_0),X1)=k2_dualsp06(esk1_0,X1,k4_algstr_0(k17_dualsp01(esk1_0),esk4_0))|~l2_algstr_0(k17_dualsp01(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_45, c_0_46]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43])]), c_0_44])).
cnf(c_0_51, plain, (v2_struct_0(X1)|k2_dualsp06(X1,X2,k4_algstr_0(k17_dualsp01(X1),X3))=k4_xcmplx_0(k2_dualsp06(X1,X2,X3))|~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))|~m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))), inference(split_conjunct,[status(thm)],[c_0_47])).
fof(c_0_52, plain, ![X42]:(~v1_xreal_0(X42)|v1_xcmplx_0(X42)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_xreal_0])])).
cnf(c_0_53, plain, (v2_struct_0(X1)|v1_xreal_0(k2_dualsp06(X1,X2,X3))|~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))|~m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))), inference(split_conjunct,[status(thm)],[c_0_48])).
fof(c_0_54, plain, ![X60, X61]:(~v1_xcmplx_0(X60)|~v1_xcmplx_0(X61)|k2_xcmplx_0(X60,k4_xcmplx_0(X61))=k6_xcmplx_0(X60,X61)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[spc1_arithm])])).
cnf(c_0_55, negated_conjecture, (k2_xcmplx_0(k18_dualsp01(esk1_0,esk3_0,X1),k2_dualsp06(esk1_0,X1,k4_algstr_0(k17_dualsp01(esk1_0),esk4_0)))=k18_dualsp01(esk1_0,k5_algstr_0(k17_dualsp01(esk1_0),esk3_0,esk4_0),X1)|~l2_algstr_0(k17_dualsp01(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_49, c_0_50]), c_0_46])])).
cnf(c_0_56, negated_conjecture, (k2_dualsp06(esk1_0,X1,k4_algstr_0(k17_dualsp01(esk1_0),esk4_0))=k4_xcmplx_0(k2_dualsp06(esk1_0,X1,esk4_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_51, c_0_46]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43])]), c_0_44])).
cnf(c_0_57, plain, (v1_xcmplx_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_52])).
cnf(c_0_58, negated_conjecture, (v1_xreal_0(k2_dualsp06(esk1_0,X1,esk4_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_53, c_0_46]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43])]), c_0_44])).
cnf(c_0_59, plain, (k2_xcmplx_0(X1,k4_xcmplx_0(X2))=k6_xcmplx_0(X1,X2)|~v1_xcmplx_0(X1)|~v1_xcmplx_0(X2)), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_60, negated_conjecture, (k2_xcmplx_0(k18_dualsp01(esk1_0,esk3_0,X1),k4_xcmplx_0(k2_dualsp06(esk1_0,X1,esk4_0)))=k18_dualsp01(esk1_0,k5_algstr_0(k17_dualsp01(esk1_0),esk3_0,esk4_0),X1)|~l2_algstr_0(k17_dualsp01(esk1_0))|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_55, c_0_56])).
cnf(c_0_61, negated_conjecture, (v1_xcmplx_0(k2_dualsp06(esk1_0,X1,esk4_0))|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_57, c_0_58])).
cnf(c_0_62, negated_conjecture, (v1_xreal_0(k2_dualsp06(esk1_0,X1,esk3_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_53, c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43])]), c_0_44])).
cnf(c_0_63, negated_conjecture, (k6_xcmplx_0(k18_dualsp01(esk1_0,esk3_0,X1),k2_dualsp06(esk1_0,X1,esk4_0))=k18_dualsp01(esk1_0,k5_algstr_0(k17_dualsp01(esk1_0),esk3_0,esk4_0),X1)|~l2_algstr_0(k17_dualsp01(esk1_0))|~v1_xcmplx_0(k18_dualsp01(esk1_0,esk3_0,X1))|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_61])).
cnf(c_0_64, negated_conjecture, (k18_dualsp01(esk1_0,esk3_0,X1)=k2_dualsp06(esk1_0,X1,esk3_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_27, c_0_31]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43])]), c_0_44])).
cnf(c_0_65, negated_conjecture, (v1_xcmplx_0(k2_dualsp06(esk1_0,X1,esk3_0))|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_57, c_0_62])).
fof(c_0_66, 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))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))=>(~v2_struct_0(k17_dualsp01(X1))&l1_normsp_1(k17_dualsp01(X1)))), inference(fof_simplification,[status(thm)],[dt_k17_dualsp01])).
cnf(c_0_67, negated_conjecture, (k2_dualsp06(esk1_0,esk2_0,k5_algstr_0(k17_dualsp01(esk1_0),esk3_0,esk4_0))!=k6_xcmplx_0(k2_dualsp06(esk1_0,esk2_0,esk3_0),k2_dualsp06(esk1_0,esk2_0,esk4_0))), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_68, negated_conjecture, (k6_xcmplx_0(k2_dualsp06(esk1_0,X1,esk3_0),k2_dualsp06(esk1_0,X1,esk4_0))=k18_dualsp01(esk1_0,k5_algstr_0(k17_dualsp01(esk1_0),esk3_0,esk4_0),X1)|~l2_algstr_0(k17_dualsp01(esk1_0))|~m1_subset_1(X1,u1_struct_0(esk1_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_65])).
cnf(c_0_69, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_70, plain, (k18_dualsp01(X1,k5_algstr_0(k17_dualsp01(X1),X2,X3),X4)=k2_dualsp06(X1,X4,k5_algstr_0(k17_dualsp01(X1),X2,X3))|v2_struct_0(X1)|~l2_algstr_0(k17_dualsp01(X1))|~m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))|~m1_subset_1(X2,u1_struct_0(k17_dualsp01(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_27, c_0_25])).
fof(c_0_71, plain, ![X59]:(~l1_rlvect_1(X59)|l2_algstr_0(X59)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_rlvect_1])])).
fof(c_0_72, plain, ![X58]:((l1_rlvect_1(X58)|~l1_normsp_1(X58))&(l2_normsp_0(X58)|~l1_normsp_1(X58))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_normsp_1])])])).
fof(c_0_73, plain, ![X49]:((~v2_struct_0(k17_dualsp01(X49))|(v2_struct_0(X49)|~v13_algstr_0(X49)|~v2_rlvect_1(X49)|~v3_rlvect_1(X49)|~v4_rlvect_1(X49)|~v5_rlvect_1(X49)|~v6_rlvect_1(X49)|~v7_rlvect_1(X49)|~v8_rlvect_1(X49)|~v3_normsp_0(X49)|~v4_normsp_0(X49)|~v2_normsp_1(X49)|~l1_normsp_1(X49)))&(l1_normsp_1(k17_dualsp01(X49))|(v2_struct_0(X49)|~v13_algstr_0(X49)|~v2_rlvect_1(X49)|~v3_rlvect_1(X49)|~v4_rlvect_1(X49)|~v5_rlvect_1(X49)|~v6_rlvect_1(X49)|~v7_rlvect_1(X49)|~v8_rlvect_1(X49)|~v3_normsp_0(X49)|~v4_normsp_0(X49)|~v2_normsp_1(X49)|~l1_normsp_1(X49)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])).
cnf(c_0_74, negated_conjecture, (k18_dualsp01(esk1_0,k5_algstr_0(k17_dualsp01(esk1_0),esk3_0,esk4_0),esk2_0)!=k2_dualsp06(esk1_0,esk2_0,k5_algstr_0(k17_dualsp01(esk1_0),esk3_0,esk4_0))|~l2_algstr_0(k17_dualsp01(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_68]), c_0_69])])).
cnf(c_0_75, negated_conjecture, (k18_dualsp01(esk1_0,k5_algstr_0(k17_dualsp01(esk1_0),X1,esk4_0),X2)=k2_dualsp06(esk1_0,X2,k5_algstr_0(k17_dualsp01(esk1_0),X1,esk4_0))|~l2_algstr_0(k17_dualsp01(esk1_0))|~m1_subset_1(X1,u1_struct_0(k17_dualsp01(esk1_0)))|~m1_subset_1(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(spm,[status(thm)],[c_0_70, c_0_46]), c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43])]), c_0_44])).
cnf(c_0_76, plain, (l2_algstr_0(X1)|~l1_rlvect_1(X1)), inference(split_conjunct,[status(thm)],[c_0_71])).
cnf(c_0_77, plain, (l1_rlvect_1(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_72])).
cnf(c_0_78, plain, (l1_normsp_1(k17_dualsp01(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)), inference(split_conjunct,[status(thm)],[c_0_73])).
cnf(c_0_79, negated_conjecture, (~l2_algstr_0(k17_dualsp01(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_75]), c_0_31]), c_0_69])])).
cnf(c_0_80, plain, (l2_algstr_0(X1)|~l1_normsp_1(X1)), inference(spm,[status(thm)],[c_0_76, c_0_77])).
cnf(c_0_81, negated_conjecture, (l1_normsp_1(k17_dualsp01(esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36]), c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41]), c_0_42]), c_0_43])]), c_0_44])).
cnf(c_0_82, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_80]), c_0_81])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 83
# Proof object clause steps            : 51
# Proof object formula steps           : 32
# Proof object conjectures             : 37
# Proof object clause conjectures      : 34
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 29
# Proof object initial formulas used   : 13
# Proof object generating inferences   : 21
# Proof object simplifying inferences  : 125
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 13
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 33
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 33
# Processed clauses                    : 342
# ...of these trivial                  : 0
# ...subsumed                          : 34
# ...remaining for further processing  : 308
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 25
# Backward-rewritten                   : 0
# Generated clauses                    : 458
# ...of the previous two non-trivial   : 457
# Contextual simplify-reflections      : 10
# Paramodulations                      : 457
# Factorizations                       : 0
# 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  : 249
#    Positive orientable unit clauses  : 16
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 230
# Current number of unprocessed clauses: 179
# ...number of literals in the above   : 1280
# Current number of archived formulas  : 0
# Current number of archived clauses   : 58
# Clause-clause subsumption calls (NU) : 18445
# Rec. Clause-clause subsumption calls : 8135
# Non-unit clause-clause subsumptions  : 69
# Unit Clause-clause subsumption calls : 169
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 0
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 35545

# -------------------------------------------------
# User time                : 159.222 s
# System time              : 1.956 s
# Total time               : 161.178 s
# Maximum resident set size: 3356 pages
