# 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       : 0.022 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d5_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_rlsub_1(X2,X1)=>![X3]:((v1_rlvect_1(X3)&m1_rlsub_1(X3,k17_dualsp01(X1)))=>(X3=k3_dualsp06(X1,X2)<=>u1_struct_0(X3)=a_2_0_dualsp06(X1,X2))))), file('dualsp06/dualsp06__t16_dualsp06', d5_dualsp06)).
fof(dt_k3_dualsp06, 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_rlsub_1(X2,X1))=>(v1_rlvect_1(k3_dualsp06(X1,X2))&m1_rlsub_1(k3_dualsp06(X1,X2),k17_dualsp01(X1)))), file('dualsp06/dualsp06__t16_dualsp06', dt_k3_dualsp06)).
fof(t16_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_rlsub_1(X2,X1)=>![X3]:(m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>((r1_struct_0(k3_dualsp06(X1,X2),X3)&r1_struct_0(X2,X4))=>k2_dualsp06(X1,X4,X3)=k5_numbers))))), file('dualsp06/dualsp06__t16_dualsp06', t16_dualsp06)).
fof(d5_struct_0, axiom, ![X1]:(l1_struct_0(X1)=>![X2]:(r1_struct_0(X1,X2)<=>r2_hidden(X2,u1_struct_0(X1)))), file('dualsp06/dualsp06__t16_dualsp06', d5_struct_0)).
fof(fc10_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)))&v13_algstr_0(k17_dualsp01(X1)))&v2_rlvect_1(k17_dualsp01(X1)))&v3_rlvect_1(k17_dualsp01(X1)))&v4_rlvect_1(k17_dualsp01(X1)))&v5_rlvect_1(k17_dualsp01(X1)))&v6_rlvect_1(k17_dualsp01(X1)))&v7_rlvect_1(k17_dualsp01(X1)))&v8_rlvect_1(k17_dualsp01(X1)))&v3_normsp_0(k17_dualsp01(X1)))&v4_normsp_0(k17_dualsp01(X1)))&v2_normsp_1(k17_dualsp01(X1)))), file('dualsp06/dualsp06__t16_dualsp06', fc10_dualsp01)).
fof(dt_l1_algstr_0, axiom, ![X1]:(l1_algstr_0(X1)=>l1_struct_0(X1)), file('dualsp06/dualsp06__t16_dualsp06', dt_l1_algstr_0)).
fof(dt_l2_algstr_0, axiom, ![X1]:(l2_algstr_0(X1)=>(l2_struct_0(X1)&l1_algstr_0(X1))), file('dualsp06/dualsp06__t16_dualsp06', dt_l2_algstr_0)).
fof(dt_m1_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)=>(((((((((~(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))&l1_rlvect_1(X2)))), file('dualsp06/dualsp06__t16_dualsp06', dt_m1_rlsub_1)).
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__t16_dualsp06', dt_k17_dualsp01)).
fof(dt_l1_rlvect_1, axiom, ![X1]:(l1_rlvect_1(X1)=>l2_algstr_0(X1)), file('dualsp06/dualsp06__t16_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__t16_dualsp06', dt_l1_normsp_1)).
fof(fraenkel_a_2_0_dualsp06, axiom, ![X1, X2, X3]:((((((((((((((~(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_rlsub_1(X3,X2))=>(r2_hidden(X1,a_2_0_dualsp06(X2,X3))<=>?[X4]:((m1_subset_1(X4,u1_struct_0(k17_dualsp01(X2)))&X1=X4)&![X5]:(m1_subset_1(X5,u1_struct_0(X2))=>(r1_struct_0(X3,X5)=>r1_dualsp06(X2,X5,X4)))))), file('dualsp06/dualsp06__t16_dualsp06', fraenkel_a_2_0_dualsp06)).
fof(d3_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)))=>(r1_dualsp06(X1,X2,X3)<=>k2_dualsp06(X1,X2,X3)=k5_numbers)))), file('dualsp06/dualsp06__t16_dualsp06', d3_dualsp06)).
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_rlsub_1(X2,X1)=>![X3]:((v1_rlvect_1(X3)&m1_rlsub_1(X3,k17_dualsp01(X1)))=>(X3=k3_dualsp06(X1,X2)<=>u1_struct_0(X3)=a_2_0_dualsp06(X1,X2))))), inference(fof_simplification,[status(thm)],[d5_dualsp06])).
fof(c_0_14, 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_rlsub_1(X2,X1))=>(v1_rlvect_1(k3_dualsp06(X1,X2))&m1_rlsub_1(k3_dualsp06(X1,X2),k17_dualsp01(X1)))), inference(fof_simplification,[status(thm)],[dt_k3_dualsp06])).
fof(c_0_15, 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_rlsub_1(X2,X1)=>![X3]:(m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))=>![X4]:(m1_subset_1(X4,u1_struct_0(X1))=>((r1_struct_0(k3_dualsp06(X1,X2),X3)&r1_struct_0(X2,X4))=>k2_dualsp06(X1,X4,X3)=k5_numbers)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t16_dualsp06])])).
fof(c_0_16, plain, ![X40, X41, X42]:((X42!=k3_dualsp06(X40,X41)|u1_struct_0(X42)=a_2_0_dualsp06(X40,X41)|(~v1_rlvect_1(X42)|~m1_rlsub_1(X42,k17_dualsp01(X40)))|~m1_rlsub_1(X41,X40)|(v2_struct_0(X40)|~v13_algstr_0(X40)|~v2_rlvect_1(X40)|~v3_rlvect_1(X40)|~v4_rlvect_1(X40)|~v5_rlvect_1(X40)|~v6_rlvect_1(X40)|~v7_rlvect_1(X40)|~v8_rlvect_1(X40)|~v3_normsp_0(X40)|~v4_normsp_0(X40)|~v2_normsp_1(X40)|~l1_normsp_1(X40)))&(u1_struct_0(X42)!=a_2_0_dualsp06(X40,X41)|X42=k3_dualsp06(X40,X41)|(~v1_rlvect_1(X42)|~m1_rlsub_1(X42,k17_dualsp01(X40)))|~m1_rlsub_1(X41,X40)|(v2_struct_0(X40)|~v13_algstr_0(X40)|~v2_rlvect_1(X40)|~v3_rlvect_1(X40)|~v4_rlvect_1(X40)|~v5_rlvect_1(X40)|~v6_rlvect_1(X40)|~v7_rlvect_1(X40)|~v8_rlvect_1(X40)|~v3_normsp_0(X40)|~v4_normsp_0(X40)|~v2_normsp_1(X40)|~l1_normsp_1(X40)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])).
fof(c_0_17, plain, ![X46, X47]:((v1_rlvect_1(k3_dualsp06(X46,X47))|(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_rlsub_1(X47,X46)))&(m1_rlsub_1(k3_dualsp06(X46,X47),k17_dualsp01(X46))|(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_rlsub_1(X47,X46)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])).
fof(c_0_18, 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_rlsub_1(esk2_0,esk1_0)&(m1_subset_1(esk3_0,u1_struct_0(k17_dualsp01(esk1_0)))&(m1_subset_1(esk4_0,u1_struct_0(esk1_0))&((r1_struct_0(k3_dualsp06(esk1_0,esk2_0),esk3_0)&r1_struct_0(esk2_0,esk4_0))&k2_dualsp06(esk1_0,esk4_0,esk3_0)!=k5_numbers))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])).
cnf(c_0_19, plain, (u1_struct_0(X1)=a_2_0_dualsp06(X2,X3)|v2_struct_0(X2)|X1!=k3_dualsp06(X2,X3)|~v1_rlvect_1(X1)|~m1_rlsub_1(X1,k17_dualsp01(X2))|~m1_rlsub_1(X3,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_16])).
cnf(c_0_20, plain, (m1_rlsub_1(k3_dualsp06(X1,X2),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)|~m1_rlsub_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_21, plain, (v1_rlvect_1(k3_dualsp06(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_rlsub_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_22, negated_conjecture, (m1_rlsub_1(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_23, negated_conjecture, (l1_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_24, negated_conjecture, (v2_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_25, negated_conjecture, (v4_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_26, negated_conjecture, (v3_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_27, negated_conjecture, (v8_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_28, negated_conjecture, (v7_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_29, negated_conjecture, (v6_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_30, negated_conjecture, (v5_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_31, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_32, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_33, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_34, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_35, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
fof(c_0_36, plain, ![X43, X44]:((~r1_struct_0(X43,X44)|r2_hidden(X44,u1_struct_0(X43))|~l1_struct_0(X43))&(~r2_hidden(X44,u1_struct_0(X43))|r1_struct_0(X43,X44)|~l1_struct_0(X43))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_struct_0])])])])).
cnf(c_0_37, plain, (u1_struct_0(k3_dualsp06(X1,X2))=a_2_0_dualsp06(X1,X2)|v2_struct_0(X1)|~m1_rlsub_1(X2,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(er,[status(thm)],[c_0_19]), c_0_20]), c_0_21])).
cnf(c_0_38, plain, (X1=k3_dualsp06(X2,X3)|v2_struct_0(X2)|u1_struct_0(X1)!=a_2_0_dualsp06(X2,X3)|~v1_rlvect_1(X1)|~m1_rlsub_1(X1,k17_dualsp01(X2))|~m1_rlsub_1(X3,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_16])).
cnf(c_0_39, negated_conjecture, (m1_rlsub_1(k3_dualsp06(esk1_0,esk2_0),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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_40, negated_conjecture, (v1_rlvect_1(k3_dualsp06(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_21, c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
fof(c_0_41, 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))&v13_algstr_0(k17_dualsp01(X1)))&v2_rlvect_1(k17_dualsp01(X1)))&v3_rlvect_1(k17_dualsp01(X1)))&v4_rlvect_1(k17_dualsp01(X1)))&v5_rlvect_1(k17_dualsp01(X1)))&v6_rlvect_1(k17_dualsp01(X1)))&v7_rlvect_1(k17_dualsp01(X1)))&v8_rlvect_1(k17_dualsp01(X1)))&v3_normsp_0(k17_dualsp01(X1)))&v4_normsp_0(k17_dualsp01(X1)))&v2_normsp_1(k17_dualsp01(X1)))), inference(fof_simplification,[status(thm)],[fc10_dualsp01])).
cnf(c_0_42, plain, (r2_hidden(X2,u1_struct_0(X1))|~r1_struct_0(X1,X2)|~l1_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_43, negated_conjecture, (u1_struct_0(k3_dualsp06(esk1_0,esk2_0))=a_2_0_dualsp06(esk1_0,esk2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_37, c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_44, negated_conjecture, (k3_dualsp06(esk1_0,esk2_0)=k3_dualsp06(esk1_0,X1)|u1_struct_0(k3_dualsp06(esk1_0,esk2_0))!=a_2_0_dualsp06(esk1_0,X1)|~m1_rlsub_1(X1,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_38, c_0_39]), c_0_40]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
fof(c_0_45, plain, ![X48]:(~l1_algstr_0(X48)|l1_struct_0(X48)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_algstr_0])])).
fof(c_0_46, plain, ![X51]:((l2_struct_0(X51)|~l2_algstr_0(X51))&(l1_algstr_0(X51)|~l2_algstr_0(X51))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_algstr_0])])])).
fof(c_0_47, 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)=>(((((((((~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))&l1_rlvect_1(X2)))), inference(fof_simplification,[status(thm)],[dt_m1_rlsub_1])).
fof(c_0_48, plain, ![X54]:((((((((((((~v2_struct_0(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54)))&(v13_algstr_0(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54))))&(v2_rlvect_1(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54))))&(v3_rlvect_1(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54))))&(v4_rlvect_1(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54))))&(v5_rlvect_1(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54))))&(v6_rlvect_1(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54))))&(v7_rlvect_1(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54))))&(v8_rlvect_1(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54))))&(v3_normsp_0(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54))))&(v4_normsp_0(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54))))&(v2_normsp_1(k17_dualsp01(X54))|(v2_struct_0(X54)|~v13_algstr_0(X54)|~v2_rlvect_1(X54)|~v3_rlvect_1(X54)|~v4_rlvect_1(X54)|~v5_rlvect_1(X54)|~v6_rlvect_1(X54)|~v7_rlvect_1(X54)|~v8_rlvect_1(X54)|~v3_normsp_0(X54)|~v4_normsp_0(X54)|~v2_normsp_1(X54)|~l1_normsp_1(X54)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])).
fof(c_0_49, 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_50, negated_conjecture, (r2_hidden(X1,a_2_0_dualsp06(esk1_0,esk2_0))|~l1_struct_0(k3_dualsp06(esk1_0,esk2_0))|~r1_struct_0(k3_dualsp06(esk1_0,esk2_0),X1)), inference(spm,[status(thm)],[c_0_42, c_0_43])).
cnf(c_0_51, negated_conjecture, (k3_dualsp06(esk1_0,esk2_0)=k3_dualsp06(esk1_0,X1)|a_2_0_dualsp06(esk1_0,esk2_0)!=a_2_0_dualsp06(esk1_0,X1)|~m1_rlsub_1(X1,esk1_0)), inference(rw,[status(thm)],[c_0_44, c_0_43])).
cnf(c_0_52, negated_conjecture, (r1_struct_0(k3_dualsp06(esk1_0,esk2_0),esk3_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_53, plain, (l1_struct_0(X1)|~l1_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_54, plain, (l1_algstr_0(X1)|~l2_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
fof(c_0_55, plain, ![X50]:(~l1_rlvect_1(X50)|l2_algstr_0(X50)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_rlvect_1])])).
fof(c_0_56, plain, ![X52, X53]:((((((((((~v2_struct_0(X53)|~m1_rlsub_1(X53,X52)|(v2_struct_0(X52)|~v13_algstr_0(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v5_rlvect_1(X52)|~v6_rlvect_1(X52)|~v7_rlvect_1(X52)|~v8_rlvect_1(X52)|~l1_rlvect_1(X52)))&(v13_algstr_0(X53)|~m1_rlsub_1(X53,X52)|(v2_struct_0(X52)|~v13_algstr_0(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v5_rlvect_1(X52)|~v6_rlvect_1(X52)|~v7_rlvect_1(X52)|~v8_rlvect_1(X52)|~l1_rlvect_1(X52))))&(v2_rlvect_1(X53)|~m1_rlsub_1(X53,X52)|(v2_struct_0(X52)|~v13_algstr_0(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v5_rlvect_1(X52)|~v6_rlvect_1(X52)|~v7_rlvect_1(X52)|~v8_rlvect_1(X52)|~l1_rlvect_1(X52))))&(v3_rlvect_1(X53)|~m1_rlsub_1(X53,X52)|(v2_struct_0(X52)|~v13_algstr_0(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v5_rlvect_1(X52)|~v6_rlvect_1(X52)|~v7_rlvect_1(X52)|~v8_rlvect_1(X52)|~l1_rlvect_1(X52))))&(v4_rlvect_1(X53)|~m1_rlsub_1(X53,X52)|(v2_struct_0(X52)|~v13_algstr_0(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v5_rlvect_1(X52)|~v6_rlvect_1(X52)|~v7_rlvect_1(X52)|~v8_rlvect_1(X52)|~l1_rlvect_1(X52))))&(v5_rlvect_1(X53)|~m1_rlsub_1(X53,X52)|(v2_struct_0(X52)|~v13_algstr_0(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v5_rlvect_1(X52)|~v6_rlvect_1(X52)|~v7_rlvect_1(X52)|~v8_rlvect_1(X52)|~l1_rlvect_1(X52))))&(v6_rlvect_1(X53)|~m1_rlsub_1(X53,X52)|(v2_struct_0(X52)|~v13_algstr_0(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v5_rlvect_1(X52)|~v6_rlvect_1(X52)|~v7_rlvect_1(X52)|~v8_rlvect_1(X52)|~l1_rlvect_1(X52))))&(v7_rlvect_1(X53)|~m1_rlsub_1(X53,X52)|(v2_struct_0(X52)|~v13_algstr_0(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v5_rlvect_1(X52)|~v6_rlvect_1(X52)|~v7_rlvect_1(X52)|~v8_rlvect_1(X52)|~l1_rlvect_1(X52))))&(v8_rlvect_1(X53)|~m1_rlsub_1(X53,X52)|(v2_struct_0(X52)|~v13_algstr_0(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v5_rlvect_1(X52)|~v6_rlvect_1(X52)|~v7_rlvect_1(X52)|~v8_rlvect_1(X52)|~l1_rlvect_1(X52))))&(l1_rlvect_1(X53)|~m1_rlsub_1(X53,X52)|(v2_struct_0(X52)|~v13_algstr_0(X52)|~v2_rlvect_1(X52)|~v3_rlvect_1(X52)|~v4_rlvect_1(X52)|~v5_rlvect_1(X52)|~v6_rlvect_1(X52)|~v7_rlvect_1(X52)|~v8_rlvect_1(X52)|~l1_rlvect_1(X52)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])])).
cnf(c_0_57, plain, (v8_rlvect_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_48])).
cnf(c_0_58, plain, (v7_rlvect_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_48])).
cnf(c_0_59, plain, (v6_rlvect_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_48])).
cnf(c_0_60, plain, (v5_rlvect_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_48])).
cnf(c_0_61, plain, (v4_rlvect_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_48])).
cnf(c_0_62, plain, (v3_rlvect_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_48])).
cnf(c_0_63, plain, (v2_rlvect_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_48])).
cnf(c_0_64, plain, (v13_algstr_0(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_48])).
fof(c_0_65, plain, ![X45]:((~v2_struct_0(k17_dualsp01(X45))|(v2_struct_0(X45)|~v13_algstr_0(X45)|~v2_rlvect_1(X45)|~v3_rlvect_1(X45)|~v4_rlvect_1(X45)|~v5_rlvect_1(X45)|~v6_rlvect_1(X45)|~v7_rlvect_1(X45)|~v8_rlvect_1(X45)|~v3_normsp_0(X45)|~v4_normsp_0(X45)|~v2_normsp_1(X45)|~l1_normsp_1(X45)))&(l1_normsp_1(k17_dualsp01(X45))|(v2_struct_0(X45)|~v13_algstr_0(X45)|~v2_rlvect_1(X45)|~v3_rlvect_1(X45)|~v4_rlvect_1(X45)|~v5_rlvect_1(X45)|~v6_rlvect_1(X45)|~v7_rlvect_1(X45)|~v8_rlvect_1(X45)|~v3_normsp_0(X45)|~v4_normsp_0(X45)|~v2_normsp_1(X45)|~l1_normsp_1(X45)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])).
cnf(c_0_66, negated_conjecture, (r2_hidden(X1,a_2_0_dualsp06(esk1_0,esk2_0))|a_2_0_dualsp06(esk1_0,esk2_0)!=a_2_0_dualsp06(esk1_0,X2)|~l1_struct_0(k3_dualsp06(esk1_0,X2))|~r1_struct_0(k3_dualsp06(esk1_0,X2),X1)|~m1_rlsub_1(X2,esk1_0)), inference(spm,[status(thm)],[c_0_50, c_0_51])).
cnf(c_0_67, negated_conjecture, (r1_struct_0(k3_dualsp06(esk1_0,X1),esk3_0)|a_2_0_dualsp06(esk1_0,esk2_0)!=a_2_0_dualsp06(esk1_0,X1)|~m1_rlsub_1(X1,esk1_0)), inference(spm,[status(thm)],[c_0_52, c_0_51])).
cnf(c_0_68, plain, (l1_struct_0(X1)|~l2_algstr_0(X1)), inference(spm,[status(thm)],[c_0_53, c_0_54])).
cnf(c_0_69, plain, (l2_algstr_0(X1)|~l1_rlvect_1(X1)), inference(split_conjunct,[status(thm)],[c_0_55])).
cnf(c_0_70, plain, (l1_rlvect_1(X1)|v2_struct_0(X2)|~m1_rlsub_1(X1,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)|~l1_rlvect_1(X2)), inference(split_conjunct,[status(thm)],[c_0_56])).
cnf(c_0_71, negated_conjecture, (v8_rlvect_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_57, c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_72, negated_conjecture, (v7_rlvect_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_58, c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_73, negated_conjecture, (v6_rlvect_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_59, c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_74, negated_conjecture, (v5_rlvect_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_60, c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_75, negated_conjecture, (v4_rlvect_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_61, c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_76, negated_conjecture, (v3_rlvect_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_62, c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_77, negated_conjecture, (v2_rlvect_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_63, c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_78, negated_conjecture, (v13_algstr_0(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_64, c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
fof(c_0_79, plain, ![X49]:((l1_rlvect_1(X49)|~l1_normsp_1(X49))&(l2_normsp_0(X49)|~l1_normsp_1(X49))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_normsp_1])])])).
cnf(c_0_80, 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_65])).
fof(c_0_81, plain, ![X1, X2, X3]:((((((((((((((~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_rlsub_1(X3,X2))=>(r2_hidden(X1,a_2_0_dualsp06(X2,X3))<=>?[X4]:((m1_subset_1(X4,u1_struct_0(k17_dualsp01(X2)))&X1=X4)&![X5]:(m1_subset_1(X5,u1_struct_0(X2))=>(r1_struct_0(X3,X5)=>r1_dualsp06(X2,X5,X4)))))), inference(fof_simplification,[status(thm)],[fraenkel_a_2_0_dualsp06])).
cnf(c_0_82, negated_conjecture, (r2_hidden(esk3_0,a_2_0_dualsp06(esk1_0,esk2_0))|a_2_0_dualsp06(esk1_0,esk2_0)!=a_2_0_dualsp06(esk1_0,X1)|~l1_struct_0(k3_dualsp06(esk1_0,X1))|~m1_rlsub_1(X1,esk1_0)), inference(spm,[status(thm)],[c_0_66, c_0_67])).
cnf(c_0_83, plain, (l1_struct_0(X1)|~l1_rlvect_1(X1)), inference(spm,[status(thm)],[c_0_68, c_0_69])).
cnf(c_0_84, negated_conjecture, (l1_rlvect_1(k3_dualsp06(esk1_0,esk2_0))|v2_struct_0(k17_dualsp01(esk1_0))|~l1_rlvect_1(k17_dualsp01(esk1_0))), 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(spm,[status(thm)],[c_0_70, c_0_39]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78])])).
cnf(c_0_85, plain, (l1_rlvect_1(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_79])).
cnf(c_0_86, 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_80, c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
fof(c_0_87, 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)))=>(r1_dualsp06(X1,X2,X3)<=>k2_dualsp06(X1,X2,X3)=k5_numbers)))), inference(fof_simplification,[status(thm)],[d3_dualsp06])).
fof(c_0_88, plain, ![X55, X56, X57, X59, X60]:((((m1_subset_1(esk5_3(X55,X56,X57),u1_struct_0(k17_dualsp01(X56)))|~r2_hidden(X55,a_2_0_dualsp06(X56,X57))|(v2_struct_0(X56)|~v13_algstr_0(X56)|~v2_rlvect_1(X56)|~v3_rlvect_1(X56)|~v4_rlvect_1(X56)|~v5_rlvect_1(X56)|~v6_rlvect_1(X56)|~v7_rlvect_1(X56)|~v8_rlvect_1(X56)|~v3_normsp_0(X56)|~v4_normsp_0(X56)|~v2_normsp_1(X56)|~l1_normsp_1(X56)|~m1_rlsub_1(X57,X56)))&(X55=esk5_3(X55,X56,X57)|~r2_hidden(X55,a_2_0_dualsp06(X56,X57))|(v2_struct_0(X56)|~v13_algstr_0(X56)|~v2_rlvect_1(X56)|~v3_rlvect_1(X56)|~v4_rlvect_1(X56)|~v5_rlvect_1(X56)|~v6_rlvect_1(X56)|~v7_rlvect_1(X56)|~v8_rlvect_1(X56)|~v3_normsp_0(X56)|~v4_normsp_0(X56)|~v2_normsp_1(X56)|~l1_normsp_1(X56)|~m1_rlsub_1(X57,X56))))&(~m1_subset_1(X59,u1_struct_0(X56))|(~r1_struct_0(X57,X59)|r1_dualsp06(X56,X59,esk5_3(X55,X56,X57)))|~r2_hidden(X55,a_2_0_dualsp06(X56,X57))|(v2_struct_0(X56)|~v13_algstr_0(X56)|~v2_rlvect_1(X56)|~v3_rlvect_1(X56)|~v4_rlvect_1(X56)|~v5_rlvect_1(X56)|~v6_rlvect_1(X56)|~v7_rlvect_1(X56)|~v8_rlvect_1(X56)|~v3_normsp_0(X56)|~v4_normsp_0(X56)|~v2_normsp_1(X56)|~l1_normsp_1(X56)|~m1_rlsub_1(X57,X56))))&((m1_subset_1(esk6_4(X55,X56,X57,X60),u1_struct_0(X56))|(~m1_subset_1(X60,u1_struct_0(k17_dualsp01(X56)))|X55!=X60)|r2_hidden(X55,a_2_0_dualsp06(X56,X57))|(v2_struct_0(X56)|~v13_algstr_0(X56)|~v2_rlvect_1(X56)|~v3_rlvect_1(X56)|~v4_rlvect_1(X56)|~v5_rlvect_1(X56)|~v6_rlvect_1(X56)|~v7_rlvect_1(X56)|~v8_rlvect_1(X56)|~v3_normsp_0(X56)|~v4_normsp_0(X56)|~v2_normsp_1(X56)|~l1_normsp_1(X56)|~m1_rlsub_1(X57,X56)))&((r1_struct_0(X57,esk6_4(X55,X56,X57,X60))|(~m1_subset_1(X60,u1_struct_0(k17_dualsp01(X56)))|X55!=X60)|r2_hidden(X55,a_2_0_dualsp06(X56,X57))|(v2_struct_0(X56)|~v13_algstr_0(X56)|~v2_rlvect_1(X56)|~v3_rlvect_1(X56)|~v4_rlvect_1(X56)|~v5_rlvect_1(X56)|~v6_rlvect_1(X56)|~v7_rlvect_1(X56)|~v8_rlvect_1(X56)|~v3_normsp_0(X56)|~v4_normsp_0(X56)|~v2_normsp_1(X56)|~l1_normsp_1(X56)|~m1_rlsub_1(X57,X56)))&(~r1_dualsp06(X56,esk6_4(X55,X56,X57,X60),X60)|(~m1_subset_1(X60,u1_struct_0(k17_dualsp01(X56)))|X55!=X60)|r2_hidden(X55,a_2_0_dualsp06(X56,X57))|(v2_struct_0(X56)|~v13_algstr_0(X56)|~v2_rlvect_1(X56)|~v3_rlvect_1(X56)|~v4_rlvect_1(X56)|~v5_rlvect_1(X56)|~v6_rlvect_1(X56)|~v7_rlvect_1(X56)|~v8_rlvect_1(X56)|~v3_normsp_0(X56)|~v4_normsp_0(X56)|~v2_normsp_1(X56)|~l1_normsp_1(X56)|~m1_rlsub_1(X57,X56)))))), 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_81])])])])])).
cnf(c_0_89, negated_conjecture, (r2_hidden(esk3_0,a_2_0_dualsp06(esk1_0,esk2_0))|a_2_0_dualsp06(esk1_0,esk2_0)!=a_2_0_dualsp06(esk1_0,X1)|~l1_rlvect_1(k3_dualsp06(esk1_0,X1))|~m1_rlsub_1(X1,esk1_0)), inference(spm,[status(thm)],[c_0_82, c_0_83])).
cnf(c_0_90, negated_conjecture, (l1_rlvect_1(k3_dualsp06(esk1_0,esk2_0))|v2_struct_0(k17_dualsp01(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_85]), c_0_86])])).
cnf(c_0_91, negated_conjecture, (r2_hidden(X1,a_2_0_dualsp06(esk1_0,esk2_0))|~l1_rlvect_1(k3_dualsp06(esk1_0,esk2_0))|~r1_struct_0(k3_dualsp06(esk1_0,esk2_0),X1)), inference(spm,[status(thm)],[c_0_50, c_0_83])).
fof(c_0_92, plain, ![X37, X38, X39]:((~r1_dualsp06(X37,X38,X39)|k2_dualsp06(X37,X38,X39)=k5_numbers|~m1_subset_1(X39,u1_struct_0(k17_dualsp01(X37)))|~m1_subset_1(X38,u1_struct_0(X37))|(v2_struct_0(X37)|~v13_algstr_0(X37)|~v2_rlvect_1(X37)|~v3_rlvect_1(X37)|~v4_rlvect_1(X37)|~v5_rlvect_1(X37)|~v6_rlvect_1(X37)|~v7_rlvect_1(X37)|~v8_rlvect_1(X37)|~v3_normsp_0(X37)|~v4_normsp_0(X37)|~v2_normsp_1(X37)|~l1_normsp_1(X37)))&(k2_dualsp06(X37,X38,X39)!=k5_numbers|r1_dualsp06(X37,X38,X39)|~m1_subset_1(X39,u1_struct_0(k17_dualsp01(X37)))|~m1_subset_1(X38,u1_struct_0(X37))|(v2_struct_0(X37)|~v13_algstr_0(X37)|~v2_rlvect_1(X37)|~v3_rlvect_1(X37)|~v4_rlvect_1(X37)|~v5_rlvect_1(X37)|~v6_rlvect_1(X37)|~v7_rlvect_1(X37)|~v8_rlvect_1(X37)|~v3_normsp_0(X37)|~v4_normsp_0(X37)|~v2_normsp_1(X37)|~l1_normsp_1(X37)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])])])])).
cnf(c_0_93, plain, (r1_dualsp06(X2,X1,esk5_3(X4,X2,X3))|v2_struct_0(X2)|~m1_subset_1(X1,u1_struct_0(X2))|~r1_struct_0(X3,X1)|~r2_hidden(X4,a_2_0_dualsp06(X2,X3))|~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_rlsub_1(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_94, negated_conjecture, (r2_hidden(esk3_0,a_2_0_dualsp06(esk1_0,esk2_0))|v2_struct_0(k17_dualsp01(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_90]), c_0_22])])).
cnf(c_0_95, plain, (X1=esk5_3(X1,X2,X3)|v2_struct_0(X2)|~r2_hidden(X1,a_2_0_dualsp06(X2,X3))|~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_rlsub_1(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_88])).
cnf(c_0_96, negated_conjecture, (r2_hidden(esk3_0,a_2_0_dualsp06(esk1_0,esk2_0))|~l1_rlvect_1(k3_dualsp06(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_91, c_0_52])).
cnf(c_0_97, plain, (k2_dualsp06(X1,X2,X3)=k5_numbers|v2_struct_0(X1)|~r1_dualsp06(X1,X2,X3)|~m1_subset_1(X3,u1_struct_0(k17_dualsp01(X1)))|~m1_subset_1(X2,u1_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_92])).
cnf(c_0_98, negated_conjecture, (m1_subset_1(esk3_0,u1_struct_0(k17_dualsp01(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_99, negated_conjecture, (r1_dualsp06(esk1_0,X1,esk5_3(esk3_0,esk1_0,esk2_0))|v2_struct_0(k17_dualsp01(esk1_0))|~r1_struct_0(esk2_0,X1)|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_100, negated_conjecture, (m1_subset_1(esk4_0,u1_struct_0(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_101, negated_conjecture, (r1_struct_0(esk2_0,esk4_0)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_102, negated_conjecture, (esk5_3(esk3_0,esk1_0,esk2_0)=esk3_0|~l1_rlvect_1(k3_dualsp06(esk1_0,esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_95, c_0_96]), c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_103, negated_conjecture, (k2_dualsp06(esk1_0,X1,esk3_0)=k5_numbers|~r1_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_97, c_0_98]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35])).
cnf(c_0_104, negated_conjecture, (k2_dualsp06(esk1_0,esk4_0,esk3_0)!=k5_numbers), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_105, negated_conjecture, (r1_dualsp06(esk1_0,esk4_0,esk5_3(esk3_0,esk1_0,esk2_0))|v2_struct_0(k17_dualsp01(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_100]), c_0_101])])).
cnf(c_0_106, negated_conjecture, (esk5_3(esk3_0,esk1_0,esk2_0)=esk3_0|v2_struct_0(k17_dualsp01(esk1_0))), inference(spm,[status(thm)],[c_0_102, c_0_90])).
cnf(c_0_107, negated_conjecture, (~r1_dualsp06(esk1_0,esk4_0,esk3_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103, c_0_100]), c_0_104])).
cnf(c_0_108, plain, (v2_struct_0(X1)|~v2_struct_0(k17_dualsp01(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_65])).
cnf(c_0_109, negated_conjecture, (v2_struct_0(k17_dualsp01(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_106]), c_0_107])).
cnf(c_0_110, negated_conjecture, ($false), 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_108, c_0_109]), c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30]), c_0_31]), c_0_32]), c_0_33]), c_0_34])]), c_0_35]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 111
# Proof object clause steps            : 77
# Proof object formula steps           : 34
# Proof object conjectures             : 54
# Proof object clause conjectures      : 51
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 42
# Proof object initial formulas used   : 13
# Proof object generating inferences   : 33
# Proof object simplifying inferences  : 253
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 14
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 64
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 64
# Processed clauses                    : 376
# ...of these trivial                  : 0
# ...subsumed                          : 86
# ...remaining for further processing  : 290
# Other redundant clauses eliminated   : 4
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 19
# Backward-rewritten                   : 84
# Generated clauses                    : 322
# ...of the previous two non-trivial   : 309
# Contextual simplify-reflections      : 293
# Paramodulations                      : 318
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 4
# 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  : 120
#    Positive orientable unit clauses  : 42
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 4
#    Non-unit-clauses                  : 74
# Current number of unprocessed clauses: 60
# ...number of literals in the above   : 496
# Current number of archived formulas  : 0
# Current number of archived clauses   : 166
# Clause-clause subsumption calls (NU) : 33990
# Rec. Clause-clause subsumption calls : 6792
# Non-unit clause-clause subsumptions  : 397
# Unit Clause-clause subsumption calls : 209
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 10
# BW rewrite match successes           : 10
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 22336

# -------------------------------------------------
# User time                : 0.036 s
# System time              : 0.008 s
# Total time               : 0.044 s
# Maximum resident set size: 3400 pages
