# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
# and selection function SelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.024 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
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__t11_dualsp06', t9_dualsp06)).
fof(t11_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)))=>k2_dualsp06(X1,k4_algstr_0(X1,X2),k4_algstr_0(k17_dualsp01(X1),X3))=k2_dualsp06(X1,X2,X3)))), file('dualsp06/dualsp06__t11_dualsp06', t11_dualsp06)).
fof(t10_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,k4_algstr_0(X1,X2),X3)=k4_xcmplx_0(k2_dualsp06(X1,X2,X3))))), file('dualsp06/dualsp06__t11_dualsp06', t10_dualsp06)).
fof(rd6_rlvect_1, axiom, ![X1, X2]:((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&l2_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>k4_algstr_0(X1,k4_algstr_0(X1,X2))=X2), file('dualsp06/dualsp06__t11_dualsp06', rd6_rlvect_1)).
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__t11_dualsp06', dt_k4_algstr_0)).
fof(dt_l1_rlvect_1, axiom, ![X1]:(l1_rlvect_1(X1)=>l2_algstr_0(X1)), file('dualsp06/dualsp06__t11_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__t11_dualsp06', dt_l1_normsp_1)).
fof(c_0_7, 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_8, 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)))=>k2_dualsp06(X1,k4_algstr_0(X1,X2),k4_algstr_0(k17_dualsp01(X1),X3))=k2_dualsp06(X1,X2,X3))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t11_dualsp06])])).
fof(c_0_9, plain, ![X33, X34, X35]:(v2_struct_0(X33)|~v13_algstr_0(X33)|~v2_rlvect_1(X33)|~v3_rlvect_1(X33)|~v4_rlvect_1(X33)|~v5_rlvect_1(X33)|~v6_rlvect_1(X33)|~v7_rlvect_1(X33)|~v8_rlvect_1(X33)|~v3_normsp_0(X33)|~v4_normsp_0(X33)|~v2_normsp_1(X33)|~l1_normsp_1(X33)|(~m1_subset_1(X34,u1_struct_0(X33))|(~m1_subset_1(X35,u1_struct_0(k17_dualsp01(X33)))|k2_dualsp06(X33,X34,k4_algstr_0(k17_dualsp01(X33),X35))=k4_xcmplx_0(k2_dualsp06(X33,X34,X35))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])).
fof(c_0_10, 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)))&k2_dualsp06(esk1_0,k4_algstr_0(esk1_0,esk2_0),k4_algstr_0(k17_dualsp01(esk1_0),esk3_0))!=k2_dualsp06(esk1_0,esk2_0,esk3_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
fof(c_0_11, 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,k4_algstr_0(X1,X2),X3)=k4_xcmplx_0(k2_dualsp06(X1,X2,X3))))), inference(fof_simplification,[status(thm)],[t10_dualsp06])).
cnf(c_0_12, 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_9])).
cnf(c_0_13, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(k17_dualsp01(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_14, negated_conjecture, (l1_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_15, negated_conjecture, (v2_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_16, negated_conjecture, (v4_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_17, negated_conjecture, (v3_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_18, negated_conjecture, (v8_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_19, negated_conjecture, (v7_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_20, negated_conjecture, (v6_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_21, negated_conjecture, (v5_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_22, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_23, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_24, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_25, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_26, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_27, plain, ![X30, X31, X32]:(v2_struct_0(X30)|~v13_algstr_0(X30)|~v2_rlvect_1(X30)|~v3_rlvect_1(X30)|~v4_rlvect_1(X30)|~v5_rlvect_1(X30)|~v6_rlvect_1(X30)|~v7_rlvect_1(X30)|~v8_rlvect_1(X30)|~v3_normsp_0(X30)|~v4_normsp_0(X30)|~v2_normsp_1(X30)|~l1_normsp_1(X30)|(~m1_subset_1(X31,u1_struct_0(X30))|(~m1_subset_1(X32,u1_struct_0(k17_dualsp01(X30)))|k2_dualsp06(X30,k4_algstr_0(X30,X31),X32)=k4_xcmplx_0(k2_dualsp06(X30,X31,X32))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])).
fof(c_0_28, plain, ![X1, X2]:((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&l2_algstr_0(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>k4_algstr_0(X1,k4_algstr_0(X1,X2))=X2), inference(fof_simplification,[status(thm)],[rd6_rlvect_1])).
cnf(c_0_29, negated_conjecture, (k2_dualsp06(esk1_0,k4_algstr_0(esk1_0,esk2_0),k4_algstr_0(k17_dualsp01(esk1_0),esk3_0))!=k2_dualsp06(esk1_0,esk2_0,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_30, negated_conjecture, (k2_dualsp06(esk1_0,X1,k4_algstr_0(k17_dualsp01(esk1_0),esk3_0))=k4_xcmplx_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_12, c_0_13]), c_0_14]), c_0_15]), c_0_16]), c_0_17]), c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24]), c_0_25])]), c_0_26])).
cnf(c_0_31, plain, (v2_struct_0(X1)|k2_dualsp06(X1,k4_algstr_0(X1,X2),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_27])).
fof(c_0_32, plain, ![X28, X29]:(v2_struct_0(X28)|~v13_algstr_0(X28)|~v3_rlvect_1(X28)|~v4_rlvect_1(X28)|~l2_algstr_0(X28)|~m1_subset_1(X29,u1_struct_0(X28))|k4_algstr_0(X28,k4_algstr_0(X28,X29))=X29), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])).
cnf(c_0_33, negated_conjecture, (k4_xcmplx_0(k2_dualsp06(esk1_0,k4_algstr_0(esk1_0,esk2_0),esk3_0))!=k2_dualsp06(esk1_0,esk2_0,esk3_0)|~m1_subset_1(k4_algstr_0(esk1_0,esk2_0),u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_29, c_0_30])).
cnf(c_0_34, negated_conjecture, (k4_xcmplx_0(k2_dualsp06(esk1_0,X1,esk3_0))=k2_dualsp06(esk1_0,k4_algstr_0(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_31, c_0_13]), c_0_14]), c_0_15]), c_0_16]), c_0_17]), c_0_18]), c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24]), c_0_25])]), c_0_26])).
cnf(c_0_35, plain, (v2_struct_0(X1)|k4_algstr_0(X1,k4_algstr_0(X1,X2))=X2|~v13_algstr_0(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~l2_algstr_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_32])).
cnf(c_0_36, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_37, negated_conjecture, (k2_dualsp06(esk1_0,k4_algstr_0(esk1_0,k4_algstr_0(esk1_0,esk2_0)),esk3_0)!=k2_dualsp06(esk1_0,esk2_0,esk3_0)|~m1_subset_1(k4_algstr_0(esk1_0,esk2_0),u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_33, c_0_34])).
cnf(c_0_38, negated_conjecture, (k4_algstr_0(esk1_0,k4_algstr_0(esk1_0,esk2_0))=esk2_0|~l2_algstr_0(esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_22]), c_0_23]), c_0_25])]), c_0_26])).
fof(c_0_39, plain, ![X24, X25]:(~l2_algstr_0(X24)|~m1_subset_1(X25,u1_struct_0(X24))|m1_subset_1(k4_algstr_0(X24,X25),u1_struct_0(X24))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_algstr_0])])).
fof(c_0_40, plain, ![X27]:(~l1_rlvect_1(X27)|l2_algstr_0(X27)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_rlvect_1])])).
fof(c_0_41, plain, ![X26]:((l1_rlvect_1(X26)|~l1_normsp_1(X26))&(l2_normsp_0(X26)|~l1_normsp_1(X26))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_normsp_1])])])).
cnf(c_0_42, negated_conjecture, (~l2_algstr_0(esk1_0)|~m1_subset_1(k4_algstr_0(esk1_0,esk2_0),u1_struct_0(esk1_0))), inference(spm,[status(thm)],[c_0_37, c_0_38])).
cnf(c_0_43, 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_39])).
cnf(c_0_44, plain, (l2_algstr_0(X1)|~l1_rlvect_1(X1)), inference(split_conjunct,[status(thm)],[c_0_40])).
cnf(c_0_45, plain, (l1_rlvect_1(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_41])).
cnf(c_0_46, negated_conjecture, (~l2_algstr_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_36])])).
cnf(c_0_47, plain, (l2_algstr_0(X1)|~l1_normsp_1(X1)), inference(spm,[status(thm)],[c_0_44, c_0_45])).
cnf(c_0_48, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_14])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 49
# Proof object clause steps            : 31
# Proof object formula steps           : 18
# Proof object conjectures             : 27
# Proof object clause conjectures      : 24
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 22
# Proof object initial formulas used   : 7
# Proof object generating inferences   : 9
# Proof object simplifying inferences  : 37
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 8
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 25
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 25
# Processed clauses                    : 64
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 64
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 1
# Backward-rewritten                   : 0
# Generated clauses                    : 21
# ...of the previous two non-trivial   : 19
# Contextual simplify-reflections      : 0
# Paramodulations                      : 21
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 0
# Propositional unsat checks           : 0
#    Propositional check models        : 0
#    Propositional check unsatisfiable : 0
#    Propositional clauses             : 0
#    Propositional clauses after purity: 0
#    Propositional unsat core size     : 0
#    Propositional preprocessing time  : 0.000
#    Propositional encoding time       : 0.000
#    Propositional solver time         : 0.000
#    Success case prop preproc time    : 0.000
#    Success case prop encoding time   : 0.000
#    Success case prop solver time     : 0.000
# Current number of processed clauses  : 38
#    Positive orientable unit clauses  : 15
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 20
# Current number of unprocessed clauses: 5
# ...number of literals in the above   : 50
# Current number of archived formulas  : 0
# Current number of archived clauses   : 26
# Clause-clause subsumption calls (NU) : 542
# Rec. Clause-clause subsumption calls : 16
# Non-unit clause-clause subsumptions  : 1
# Unit Clause-clause subsumption calls : 9
# 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          : 3933

# -------------------------------------------------
# User time                : 0.031 s
# System time              : 0.000 s
# Total time               : 0.031 s
# Maximum resident set size: 3008 pages
