# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S050N
# and selection function PSelectNewComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.025 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t23_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(k17_dualsp01(X1)))=>![X3]:((~(v2_struct_0(X3))&m1_rlsub_1(X3,X1))=>((~(v1_xboole_0(a_3_3_dualsp06(X1,X2,X3)))&v3_membered(a_3_3_dualsp06(X1,X2,X3)))&v3_xxreal_2(a_3_3_dualsp06(X1,X2,X3)))))), file('dualsp06/dualsp06__t23_dualsp06', t23_dualsp06)).
fof(cc4_nat_1, axiom, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~(v2_xxreal_0(X1)))), file('dualsp06/dualsp06__t23_dualsp06', cc4_nat_1)).
fof(t7_real, axiom, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>~(((~(r1_xxreal_0(X1,X2))&~(v2_xxreal_0(X1)))&~(v3_xxreal_0(X2)))))), file('dualsp06/dualsp06__t23_dualsp06', t7_real)).
fof(t2_subset, axiom, ![X1, X2]:(m1_subset_1(X1,X2)=>(v1_xboole_0(X2)|r2_tarski(X1,X2))), file('dualsp06/dualsp06__t23_dualsp06', t2_subset)).
fof(fc1_normsp_1, axiom, ![X1, X2]:((((((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>(~(v3_xxreal_0(k2_normsp_0(X1,X2)))&v1_xreal_0(k2_normsp_0(X1,X2)))), file('dualsp06/dualsp06__t23_dualsp06', fc1_normsp_1)).
fof(cc11_ordinal1, axiom, ![X1]:(v8_ordinal1(X1)=>v7_ordinal1(X1)), file('dualsp06/dualsp06__t23_dualsp06', cc11_ordinal1)).
fof(fraenkel_a_3_3_dualsp06, axiom, ![X1, X2, X3, X4]:((((((((((((((((~(v2_struct_0(X2))&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v5_rlvect_1(X2))&v6_rlvect_1(X2))&v7_rlvect_1(X2))&v8_rlvect_1(X2))&v3_normsp_0(X2))&v4_normsp_0(X2))&v2_normsp_1(X2))&l1_normsp_1(X2))&m1_subset_1(X3,u1_struct_0(k17_dualsp01(X2))))&~(v2_struct_0(X4)))&m1_rlsub_1(X4,X2))=>(r2_hidden(X1,a_3_3_dualsp06(X2,X3,X4))<=>?[X5]:((m1_subset_1(X5,u1_struct_0(k17_dualsp01(X2)))&X1=k2_normsp_0(k17_dualsp01(X2),k5_algstr_0(k17_dualsp01(X2),X3,X5)))&r1_struct_0(k3_dualsp06(X2,X4),X5)))), file('dualsp06/dualsp06__t23_dualsp06', fraenkel_a_3_3_dualsp06)).
fof(fc2_struct_0, axiom, ![X1]:((~(v2_struct_0(X1))&l1_struct_0(X1))=>~(v1_xboole_0(u1_struct_0(X1)))), file('dualsp06/dualsp06__t23_dualsp06', fc2_struct_0)).
fof(redefinition_r2_tarski, axiom, ![X1, X2]:(r2_tarski(X1,X2)<=>r2_hidden(X1,X2)), file('dualsp06/dualsp06__t23_dualsp06', redefinition_r2_tarski)).
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__t23_dualsp06', dt_k17_dualsp01)).
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__t23_dualsp06', dt_k5_algstr_0)).
fof(dt_l1_normsp_0, axiom, ![X1]:(l1_normsp_0(X1)=>l1_struct_0(X1)), file('dualsp06/dualsp06__t23_dualsp06', dt_l1_normsp_0)).
fof(dt_l2_normsp_0, axiom, ![X1]:(l2_normsp_0(X1)=>(l1_normsp_0(X1)&l2_struct_0(X1))), file('dualsp06/dualsp06__t23_dualsp06', dt_l2_normsp_0)).
fof(dt_l1_normsp_1, axiom, ![X1]:(l1_normsp_1(X1)=>(l1_rlvect_1(X1)&l2_normsp_0(X1))), file('dualsp06/dualsp06__t23_dualsp06', dt_l1_normsp_1)).
fof(dt_k3_funct_2, axiom, ![X1, X2, X3, X4]:(((((~(v1_xboole_0(X1))&v1_funct_1(X3))&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&m1_subset_1(X4,X1))=>m1_subset_1(k3_funct_2(X1,X2,X3,X4),X2)), file('dualsp06/dualsp06__t23_dualsp06', dt_k3_funct_2)).
fof(dt_l1_rlvect_1, axiom, ![X1]:(l1_rlvect_1(X1)=>l2_algstr_0(X1)), file('dualsp06/dualsp06__t23_dualsp06', dt_l1_rlvect_1)).
fof(dt_u1_normsp_0, axiom, ![X1]:(l1_normsp_0(X1)=>((v1_funct_1(u1_normsp_0(X1))&v1_funct_2(u1_normsp_0(X1),u1_struct_0(X1),k1_numbers))&m1_subset_1(u1_normsp_0(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),k1_numbers))))), file('dualsp06/dualsp06__t23_dualsp06', dt_u1_normsp_0)).
fof(t7_boole, axiom, ![X1, X2]:~((r2_tarski(X1,X2)&v1_xboole_0(X2))), file('dualsp06/dualsp06__t23_dualsp06', t7_boole)).
fof(d1_normsp_0, axiom, ![X1]:((~(v2_struct_0(X1))&l1_normsp_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>k2_normsp_0(X1,X2)=k3_funct_2(u1_struct_0(X1),k1_numbers,u1_normsp_0(X1),X2))), file('dualsp06/dualsp06__t23_dualsp06', d1_normsp_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__t23_dualsp06', fc10_dualsp01)).
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__t23_dualsp06', dt_k3_dualsp06)).
fof(t17_rlsub_1, axiom, ![X1]:((((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&l1_rlvect_1(X1))=>![X2]:(m1_rlsub_1(X2,X1)=>r1_struct_0(X2,k4_struct_0(X1)))), file('dualsp06/dualsp06__t23_dualsp06', t17_rlsub_1)).
fof(d3_tarski, axiom, ![X1, X2]:(r1_tarski(X1,X2)<=>![X3]:(r2_hidden(X3,X1)=>r2_hidden(X3,X2))), file('dualsp06/dualsp06__t23_dualsp06', d3_tarski)).
fof(fc1_numbers, axiom, ~(v1_xboole_0(k1_numbers)), file('dualsp06/dualsp06__t23_dualsp06', fc1_numbers)).
fof(cc15_membered, axiom, ![X1]:(v3_membered(X1)=>![X2]:(m1_subset_1(X2,k1_zfmisc_1(X1))=>v3_membered(X2))), file('dualsp06/dualsp06__t23_dualsp06', cc15_membered)).
fof(t3_subset, axiom, ![X1, X2]:(m1_subset_1(X1,k1_zfmisc_1(X2))<=>r1_tarski(X1,X2)), file('dualsp06/dualsp06__t23_dualsp06', t3_subset)).
fof(d2_xxreal_2, axiom, ![X1]:(v2_membered(X1)=>![X2]:(v1_xxreal_0(X2)=>(m2_xxreal_2(X2,X1)<=>![X3]:(v1_xxreal_0(X3)=>(r2_hidden(X3,X1)=>r1_xxreal_0(X2,X3)))))), file('dualsp06/dualsp06__t23_dualsp06', d2_xxreal_2)).
fof(cc4_membered, axiom, ![X1]:(v3_membered(X1)=>v2_membered(X1)), file('dualsp06/dualsp06__t23_dualsp06', cc4_membered)).
fof(fc3_membered, axiom, v3_membered(k1_numbers), file('dualsp06/dualsp06__t23_dualsp06', fc3_membered)).
fof(cc4_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xxreal_0(X1)), file('dualsp06/dualsp06__t23_dualsp06', cc4_xreal_0)).
fof(d9_xxreal_2, axiom, ![X1]:(v2_membered(X1)=>(v3_xxreal_2(X1)<=>?[X2]:(v1_xreal_0(X2)&m2_xxreal_2(X2,X1)))), file('dualsp06/dualsp06__t23_dualsp06', d9_xxreal_2)).
fof(dt_k4_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>m1_subset_1(k4_struct_0(X1),u1_struct_0(X1))), file('dualsp06/dualsp06__t23_dualsp06', dt_k4_struct_0)).
fof(cc2_membered, axiom, ![X1]:(v5_membered(X1)=>v4_membered(X1)), file('dualsp06/dualsp06__t23_dualsp06', cc2_membered)).
fof(cc1_membered, axiom, ![X1]:(v6_membered(X1)=>v5_membered(X1)), file('dualsp06/dualsp06__t23_dualsp06', cc1_membered)).
fof(cc3_membered, axiom, ![X1]:(v4_membered(X1)=>v3_membered(X1)), file('dualsp06/dualsp06__t23_dualsp06', cc3_membered)).
fof(cc8_membered, axiom, ![X1]:(v3_membered(X1)=>![X2]:(m1_subset_1(X2,X1)=>v1_xreal_0(X2))), file('dualsp06/dualsp06__t23_dualsp06', cc8_membered)).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1), file('dualsp06/dualsp06__t23_dualsp06', fc6_membered)).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1), file('dualsp06/dualsp06__t23_dualsp06', fc9_ordinal1)).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1, file('dualsp06/dualsp06__t23_dualsp06', redefinition_k5_numbers)).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers,k4_ordinal1), file('dualsp06/dualsp06__t23_dualsp06', dt_k5_numbers)).
fof(c_0_40, 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(k17_dualsp01(X1)))=>![X3]:((~v2_struct_0(X3)&m1_rlsub_1(X3,X1))=>((~v1_xboole_0(a_3_3_dualsp06(X1,X2,X3))&v3_membered(a_3_3_dualsp06(X1,X2,X3)))&v3_xxreal_2(a_3_3_dualsp06(X1,X2,X3))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t23_dualsp06])])).
fof(c_0_41, plain, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~v2_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc4_nat_1])).
fof(c_0_42, plain, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>~(((~r1_xxreal_0(X1,X2)&~v2_xxreal_0(X1))&~v3_xxreal_0(X2))))), inference(fof_simplification,[status(thm)],[t7_real])).
fof(c_0_43, plain, ![X126, X127]:(~m1_subset_1(X126,X127)|(v1_xboole_0(X127)|r2_tarski(X126,X127))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])).
fof(c_0_44, 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(k17_dualsp01(esk1_0)))&((~v2_struct_0(esk3_0)&m1_rlsub_1(esk3_0,esk1_0))&(v1_xboole_0(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v3_membered(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v3_xxreal_2(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])).
fof(c_0_45, plain, ![X1, X2]:((((((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&v3_normsp_0(X1))&v4_normsp_0(X1))&v2_normsp_1(X1))&l1_normsp_1(X1))&m1_subset_1(X2,u1_struct_0(X1)))=>(~v3_xxreal_0(k2_normsp_0(X1,X2))&v1_xreal_0(k2_normsp_0(X1,X2)))), inference(fof_simplification,[status(thm)],[fc1_normsp_1])).
fof(c_0_46, plain, ![X77]:((v7_ordinal1(X77)|(~v7_ordinal1(X77)|~v8_ordinal1(X77)))&(~v2_xxreal_0(X77)|(~v7_ordinal1(X77)|~v8_ordinal1(X77)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])).
fof(c_0_47, plain, ![X132, X133]:(~v1_xreal_0(X132)|(~v1_xreal_0(X133)|(r1_xxreal_0(X132,X133)|v2_xxreal_0(X132)|v3_xxreal_0(X133)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])).
fof(c_0_48, plain, ![X70]:(~v8_ordinal1(X70)|v7_ordinal1(X70)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc11_ordinal1])])).
fof(c_0_49, plain, ![X1, X2, X3, X4]:((((((((((((((((~v2_struct_0(X2)&v13_algstr_0(X2))&v2_rlvect_1(X2))&v3_rlvect_1(X2))&v4_rlvect_1(X2))&v5_rlvect_1(X2))&v6_rlvect_1(X2))&v7_rlvect_1(X2))&v8_rlvect_1(X2))&v3_normsp_0(X2))&v4_normsp_0(X2))&v2_normsp_1(X2))&l1_normsp_1(X2))&m1_subset_1(X3,u1_struct_0(k17_dualsp01(X2))))&~v2_struct_0(X4))&m1_rlsub_1(X4,X2))=>(r2_hidden(X1,a_3_3_dualsp06(X2,X3,X4))<=>?[X5]:((m1_subset_1(X5,u1_struct_0(k17_dualsp01(X2)))&X1=k2_normsp_0(k17_dualsp01(X2),k5_algstr_0(k17_dualsp01(X2),X3,X5)))&r1_struct_0(k3_dualsp06(X2,X4),X5)))), inference(fof_simplification,[status(thm)],[fraenkel_a_3_3_dualsp06])).
fof(c_0_50, plain, ![X1]:((~v2_struct_0(X1)&l1_struct_0(X1))=>~v1_xboole_0(u1_struct_0(X1))), inference(fof_simplification,[status(thm)],[fc2_struct_0])).
fof(c_0_51, plain, ![X122, X123]:((~r2_tarski(X122,X123)|r2_hidden(X122,X123))&(~r2_hidden(X122,X123)|r2_tarski(X122,X123))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_r2_tarski])])).
cnf(c_0_52, plain, (v1_xboole_0(X2)|r2_tarski(X1,X2)|~m1_subset_1(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_53, negated_conjecture, (m1_subset_1(esk2_0,u1_struct_0(k17_dualsp01(esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_44])).
fof(c_0_54, plain, ![X113, X114]:((~v3_xxreal_0(k2_normsp_0(X113,X114))|(v2_struct_0(X113)|~v13_algstr_0(X113)|~v2_rlvect_1(X113)|~v3_rlvect_1(X113)|~v4_rlvect_1(X113)|~v5_rlvect_1(X113)|~v6_rlvect_1(X113)|~v7_rlvect_1(X113)|~v8_rlvect_1(X113)|~v3_normsp_0(X113)|~v4_normsp_0(X113)|~v2_normsp_1(X113)|~l1_normsp_1(X113)|~m1_subset_1(X114,u1_struct_0(X113))))&(v1_xreal_0(k2_normsp_0(X113,X114))|(v2_struct_0(X113)|~v13_algstr_0(X113)|~v2_rlvect_1(X113)|~v3_rlvect_1(X113)|~v4_rlvect_1(X113)|~v5_rlvect_1(X113)|~v6_rlvect_1(X113)|~v7_rlvect_1(X113)|~v8_rlvect_1(X113)|~v3_normsp_0(X113)|~v4_normsp_0(X113)|~v2_normsp_1(X113)|~l1_normsp_1(X113)|~m1_subset_1(X114,u1_struct_0(X113))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])).
cnf(c_0_55, plain, (~v2_xxreal_0(X1)|~v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_46])).
cnf(c_0_56, plain, (r1_xxreal_0(X1,X2)|v2_xxreal_0(X1)|v3_xxreal_0(X2)|~v1_xreal_0(X1)|~v1_xreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_47])).
cnf(c_0_57, plain, (v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_48])).
fof(c_0_58, plain, ![X116, X117, X118, X119, X121]:((((m1_subset_1(esk7_4(X116,X117,X118,X119),u1_struct_0(k17_dualsp01(X117)))|~r2_hidden(X116,a_3_3_dualsp06(X117,X118,X119))|(v2_struct_0(X117)|~v13_algstr_0(X117)|~v2_rlvect_1(X117)|~v3_rlvect_1(X117)|~v4_rlvect_1(X117)|~v5_rlvect_1(X117)|~v6_rlvect_1(X117)|~v7_rlvect_1(X117)|~v8_rlvect_1(X117)|~v3_normsp_0(X117)|~v4_normsp_0(X117)|~v2_normsp_1(X117)|~l1_normsp_1(X117)|~m1_subset_1(X118,u1_struct_0(k17_dualsp01(X117)))|v2_struct_0(X119)|~m1_rlsub_1(X119,X117)))&(X116=k2_normsp_0(k17_dualsp01(X117),k5_algstr_0(k17_dualsp01(X117),X118,esk7_4(X116,X117,X118,X119)))|~r2_hidden(X116,a_3_3_dualsp06(X117,X118,X119))|(v2_struct_0(X117)|~v13_algstr_0(X117)|~v2_rlvect_1(X117)|~v3_rlvect_1(X117)|~v4_rlvect_1(X117)|~v5_rlvect_1(X117)|~v6_rlvect_1(X117)|~v7_rlvect_1(X117)|~v8_rlvect_1(X117)|~v3_normsp_0(X117)|~v4_normsp_0(X117)|~v2_normsp_1(X117)|~l1_normsp_1(X117)|~m1_subset_1(X118,u1_struct_0(k17_dualsp01(X117)))|v2_struct_0(X119)|~m1_rlsub_1(X119,X117))))&(r1_struct_0(k3_dualsp06(X117,X119),esk7_4(X116,X117,X118,X119))|~r2_hidden(X116,a_3_3_dualsp06(X117,X118,X119))|(v2_struct_0(X117)|~v13_algstr_0(X117)|~v2_rlvect_1(X117)|~v3_rlvect_1(X117)|~v4_rlvect_1(X117)|~v5_rlvect_1(X117)|~v6_rlvect_1(X117)|~v7_rlvect_1(X117)|~v8_rlvect_1(X117)|~v3_normsp_0(X117)|~v4_normsp_0(X117)|~v2_normsp_1(X117)|~l1_normsp_1(X117)|~m1_subset_1(X118,u1_struct_0(k17_dualsp01(X117)))|v2_struct_0(X119)|~m1_rlsub_1(X119,X117))))&(~m1_subset_1(X121,u1_struct_0(k17_dualsp01(X117)))|X116!=k2_normsp_0(k17_dualsp01(X117),k5_algstr_0(k17_dualsp01(X117),X118,X121))|~r1_struct_0(k3_dualsp06(X117,X119),X121)|r2_hidden(X116,a_3_3_dualsp06(X117,X118,X119))|(v2_struct_0(X117)|~v13_algstr_0(X117)|~v2_rlvect_1(X117)|~v3_rlvect_1(X117)|~v4_rlvect_1(X117)|~v5_rlvect_1(X117)|~v6_rlvect_1(X117)|~v7_rlvect_1(X117)|~v8_rlvect_1(X117)|~v3_normsp_0(X117)|~v4_normsp_0(X117)|~v2_normsp_1(X117)|~l1_normsp_1(X117)|~m1_subset_1(X118,u1_struct_0(k17_dualsp01(X117)))|v2_struct_0(X119)|~m1_rlsub_1(X119,X117)))), 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_49])])])])])).
fof(c_0_59, 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])).
fof(c_0_60, plain, ![X115]:(v2_struct_0(X115)|~l1_struct_0(X115)|~v1_xboole_0(u1_struct_0(X115))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])).
cnf(c_0_61, plain, (r2_hidden(X1,X2)|~r2_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_62, negated_conjecture, (r2_tarski(esk2_0,u1_struct_0(k17_dualsp01(esk1_0)))|v1_xboole_0(u1_struct_0(k17_dualsp01(esk1_0)))), inference(spm,[status(thm)],[c_0_52, c_0_53])).
cnf(c_0_63, plain, (v2_struct_0(X1)|~v3_xxreal_0(k2_normsp_0(X1,X2))|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_54])).
cnf(c_0_64, plain, (v3_xxreal_0(X1)|r1_xxreal_0(X2,X1)|~v1_xreal_0(X1)|~v1_xreal_0(X2)|~v8_ordinal1(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_57])).
cnf(c_0_65, plain, (v1_xreal_0(k2_normsp_0(X1,X2))|v2_struct_0(X1)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~v3_normsp_0(X1)|~v4_normsp_0(X1)|~v2_normsp_1(X1)|~l1_normsp_1(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_54])).
fof(c_0_66, plain, ![X104, X105, X106]:(~l2_algstr_0(X104)|~m1_subset_1(X105,u1_struct_0(X104))|~m1_subset_1(X106,u1_struct_0(X104))|m1_subset_1(k5_algstr_0(X104,X105,X106),u1_struct_0(X104))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_algstr_0])])).
cnf(c_0_67, plain, (X1=k2_normsp_0(k17_dualsp01(X2),k5_algstr_0(k17_dualsp01(X2),X3,esk7_4(X1,X2,X3,X4)))|v2_struct_0(X2)|v2_struct_0(X4)|~r2_hidden(X1,a_3_3_dualsp06(X2,X3,X4))|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~v3_normsp_0(X2)|~v4_normsp_0(X2)|~v2_normsp_1(X2)|~l1_normsp_1(X2)|~m1_subset_1(X3,u1_struct_0(k17_dualsp01(X2)))|~m1_rlsub_1(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_68, negated_conjecture, (l1_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_69, negated_conjecture, (v2_normsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_70, negated_conjecture, (v4_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_71, negated_conjecture, (v3_normsp_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_72, negated_conjecture, (v8_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_73, negated_conjecture, (v7_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_74, negated_conjecture, (v6_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_75, negated_conjecture, (v5_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_76, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_77, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_78, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_79, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_80, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_44])).
fof(c_0_81, plain, ![X96]:((~v2_struct_0(k17_dualsp01(X96))|(v2_struct_0(X96)|~v13_algstr_0(X96)|~v2_rlvect_1(X96)|~v3_rlvect_1(X96)|~v4_rlvect_1(X96)|~v5_rlvect_1(X96)|~v6_rlvect_1(X96)|~v7_rlvect_1(X96)|~v8_rlvect_1(X96)|~v3_normsp_0(X96)|~v4_normsp_0(X96)|~v2_normsp_1(X96)|~l1_normsp_1(X96)))&(l1_normsp_1(k17_dualsp01(X96))|(v2_struct_0(X96)|~v13_algstr_0(X96)|~v2_rlvect_1(X96)|~v3_rlvect_1(X96)|~v4_rlvect_1(X96)|~v5_rlvect_1(X96)|~v6_rlvect_1(X96)|~v7_rlvect_1(X96)|~v8_rlvect_1(X96)|~v3_normsp_0(X96)|~v4_normsp_0(X96)|~v2_normsp_1(X96)|~l1_normsp_1(X96)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])])).
cnf(c_0_82, plain, (m1_subset_1(esk7_4(X1,X2,X3,X4),u1_struct_0(k17_dualsp01(X2)))|v2_struct_0(X2)|v2_struct_0(X4)|~r2_hidden(X1,a_3_3_dualsp06(X2,X3,X4))|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~v3_normsp_0(X2)|~v4_normsp_0(X2)|~v2_normsp_1(X2)|~l1_normsp_1(X2)|~m1_subset_1(X3,u1_struct_0(k17_dualsp01(X2)))|~m1_rlsub_1(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_83, plain, (v2_struct_0(X1)|~l1_struct_0(X1)|~v1_xboole_0(u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_60])).
cnf(c_0_84, negated_conjecture, (r2_hidden(esk2_0,u1_struct_0(k17_dualsp01(esk1_0)))|v1_xboole_0(u1_struct_0(k17_dualsp01(esk1_0)))), inference(spm,[status(thm)],[c_0_61, c_0_62])).
fof(c_0_85, plain, ![X107]:(~l1_normsp_0(X107)|l1_struct_0(X107)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_normsp_0])])).
fof(c_0_86, plain, ![X110]:((l1_normsp_0(X110)|~l2_normsp_0(X110))&(l2_struct_0(X110)|~l2_normsp_0(X110))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_normsp_0])])])).
fof(c_0_87, plain, ![X108]:((l1_rlvect_1(X108)|~l1_normsp_1(X108))&(l2_normsp_0(X108)|~l1_normsp_1(X108))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_normsp_1])])])).
cnf(c_0_88, plain, (r1_xxreal_0(X1,k2_normsp_0(X2,X3))|v2_struct_0(X2)|~v1_xreal_0(X1)|~v8_ordinal1(X1)|~m1_subset_1(X3,u1_struct_0(X2))|~l1_normsp_1(X2)|~v2_normsp_1(X2)|~v4_normsp_0(X2)|~v3_normsp_0(X2)|~v8_rlvect_1(X2)|~v7_rlvect_1(X2)|~v6_rlvect_1(X2)|~v5_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v13_algstr_0(X2)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_65])).
cnf(c_0_89, 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_66])).
cnf(c_0_90, negated_conjecture, (k2_normsp_0(k17_dualsp01(esk1_0),k5_algstr_0(k17_dualsp01(esk1_0),esk2_0,esk7_4(X1,esk1_0,esk2_0,X2)))=X1|v2_struct_0(X2)|~r2_hidden(X1,a_3_3_dualsp06(esk1_0,esk2_0,X2))|~m1_rlsub_1(X2,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_53]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
cnf(c_0_91, negated_conjecture, (m1_rlsub_1(esk3_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_92, negated_conjecture, (~v2_struct_0(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_93, 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_81])).
cnf(c_0_94, 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_81])).
cnf(c_0_95, negated_conjecture, (m1_subset_1(esk7_4(X1,esk1_0,esk2_0,X2),u1_struct_0(k17_dualsp01(esk1_0)))|v2_struct_0(X2)|~r2_hidden(X1,a_3_3_dualsp06(esk1_0,esk2_0,X2))|~m1_rlsub_1(X2,esk1_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_53]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
fof(c_0_96, plain, ![X1, X2, X3, X4]:(((((~v1_xboole_0(X1)&v1_funct_1(X3))&v1_funct_2(X3,X1,X2))&m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))))&m1_subset_1(X4,X1))=>m1_subset_1(k3_funct_2(X1,X2,X3,X4),X2)), inference(fof_simplification,[status(thm)],[dt_k3_funct_2])).
cnf(c_0_97, negated_conjecture, (r2_hidden(esk2_0,u1_struct_0(k17_dualsp01(esk1_0)))|v2_struct_0(k17_dualsp01(esk1_0))|~l1_struct_0(k17_dualsp01(esk1_0))), inference(spm,[status(thm)],[c_0_83, c_0_84])).
cnf(c_0_98, plain, (l1_struct_0(X1)|~l1_normsp_0(X1)), inference(split_conjunct,[status(thm)],[c_0_85])).
cnf(c_0_99, plain, (l1_normsp_0(X1)|~l2_normsp_0(X1)), inference(split_conjunct,[status(thm)],[c_0_86])).
cnf(c_0_100, plain, (l2_normsp_0(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_87])).
cnf(c_0_101, plain, (r1_xxreal_0(X1,k2_normsp_0(X2,k5_algstr_0(X2,X3,X4)))|v2_struct_0(X2)|~l2_algstr_0(X2)|~v1_xreal_0(X1)|~v8_ordinal1(X1)|~m1_subset_1(X4,u1_struct_0(X2))|~m1_subset_1(X3,u1_struct_0(X2))|~l1_normsp_1(X2)|~v2_normsp_1(X2)|~v4_normsp_0(X2)|~v3_normsp_0(X2)|~v8_rlvect_1(X2)|~v7_rlvect_1(X2)|~v6_rlvect_1(X2)|~v5_rlvect_1(X2)|~v4_rlvect_1(X2)|~v3_rlvect_1(X2)|~v2_rlvect_1(X2)|~v13_algstr_0(X2)), inference(spm,[status(thm)],[c_0_88, c_0_89])).
cnf(c_0_102, negated_conjecture, (k2_normsp_0(k17_dualsp01(esk1_0),k5_algstr_0(k17_dualsp01(esk1_0),esk2_0,esk7_4(X1,esk1_0,esk2_0,esk3_0)))=X1|~r2_hidden(X1,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_91]), c_0_92])).
cnf(c_0_103, 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_93, c_0_69]), c_0_68]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
cnf(c_0_104, negated_conjecture, (~v2_struct_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_94, c_0_69]), c_0_68]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
cnf(c_0_105, negated_conjecture, (m1_subset_1(esk7_4(X1,esk1_0,esk2_0,esk3_0),u1_struct_0(k17_dualsp01(esk1_0)))|~r2_hidden(X1,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95, c_0_91]), c_0_92])).
fof(c_0_106, plain, ![X109]:(~l1_rlvect_1(X109)|l2_algstr_0(X109)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_rlvect_1])])).
fof(c_0_107, plain, ![X99, X100, X101, X102]:(v1_xboole_0(X99)|~v1_funct_1(X101)|~v1_funct_2(X101,X99,X100)|~m1_subset_1(X101,k1_zfmisc_1(k2_zfmisc_1(X99,X100)))|~m1_subset_1(X102,X99)|m1_subset_1(k3_funct_2(X99,X100,X101,X102),X100)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_96])])).
fof(c_0_108, plain, ![X111]:(((v1_funct_1(u1_normsp_0(X111))|~l1_normsp_0(X111))&(v1_funct_2(u1_normsp_0(X111),u1_struct_0(X111),k1_numbers)|~l1_normsp_0(X111)))&(m1_subset_1(u1_normsp_0(X111),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X111),k1_numbers)))|~l1_normsp_0(X111))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_normsp_0])])])).
fof(c_0_109, plain, ![X130, X131]:(~r2_tarski(X130,X131)|~v1_xboole_0(X131)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])).
cnf(c_0_110, negated_conjecture, (r2_hidden(esk2_0,u1_struct_0(k17_dualsp01(esk1_0)))|v2_struct_0(k17_dualsp01(esk1_0))|~l1_normsp_0(k17_dualsp01(esk1_0))), inference(spm,[status(thm)],[c_0_97, c_0_98])).
cnf(c_0_111, plain, (l1_normsp_0(X1)|~l1_normsp_1(X1)), inference(spm,[status(thm)],[c_0_99, c_0_100])).
fof(c_0_112, plain, ![X1]:((~v2_struct_0(X1)&l1_normsp_0(X1))=>![X2]:(m1_subset_1(X2,u1_struct_0(X1))=>k2_normsp_0(X1,X2)=k3_funct_2(u1_struct_0(X1),k1_numbers,u1_normsp_0(X1),X2))), inference(fof_simplification,[status(thm)],[d1_normsp_0])).
cnf(c_0_113, negated_conjecture, (r1_xxreal_0(X1,X2)|~l2_algstr_0(k17_dualsp01(esk1_0))|~r2_hidden(X2,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v1_xreal_0(X1)|~v8_ordinal1(X1)|~v2_normsp_1(k17_dualsp01(esk1_0))|~v4_normsp_0(k17_dualsp01(esk1_0))|~v3_normsp_0(k17_dualsp01(esk1_0))|~v8_rlvect_1(k17_dualsp01(esk1_0))|~v7_rlvect_1(k17_dualsp01(esk1_0))|~v6_rlvect_1(k17_dualsp01(esk1_0))|~v5_rlvect_1(k17_dualsp01(esk1_0))|~v4_rlvect_1(k17_dualsp01(esk1_0))|~v3_rlvect_1(k17_dualsp01(esk1_0))|~v2_rlvect_1(k17_dualsp01(esk1_0))|~v13_algstr_0(k17_dualsp01(esk1_0))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_102]), c_0_53]), c_0_103])]), c_0_104]), c_0_105])).
cnf(c_0_114, plain, (l2_algstr_0(X1)|~l1_rlvect_1(X1)), inference(split_conjunct,[status(thm)],[c_0_106])).
fof(c_0_115, 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_116, plain, (v1_xboole_0(X1)|m1_subset_1(k3_funct_2(X1,X3,X2,X4),X3)|~v1_funct_1(X2)|~v1_funct_2(X2,X1,X3)|~m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X3)))|~m1_subset_1(X4,X1)), inference(split_conjunct,[status(thm)],[c_0_107])).
cnf(c_0_117, plain, (m1_subset_1(u1_normsp_0(X1),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(X1),k1_numbers)))|~l1_normsp_0(X1)), inference(split_conjunct,[status(thm)],[c_0_108])).
cnf(c_0_118, plain, (v1_funct_1(u1_normsp_0(X1))|~l1_normsp_0(X1)), inference(split_conjunct,[status(thm)],[c_0_108])).
cnf(c_0_119, plain, (v1_funct_2(u1_normsp_0(X1),u1_struct_0(X1),k1_numbers)|~l1_normsp_0(X1)), inference(split_conjunct,[status(thm)],[c_0_108])).
cnf(c_0_120, plain, (~r2_tarski(X1,X2)|~v1_xboole_0(X2)), inference(split_conjunct,[status(thm)],[c_0_109])).
cnf(c_0_121, plain, (r2_tarski(X1,X2)|~r2_hidden(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_51])).
cnf(c_0_122, negated_conjecture, (r2_hidden(esk2_0,u1_struct_0(k17_dualsp01(esk1_0)))|v2_struct_0(k17_dualsp01(esk1_0))|~l1_normsp_1(k17_dualsp01(esk1_0))), inference(spm,[status(thm)],[c_0_110, c_0_111])).
fof(c_0_123, plain, ![X81, X82]:(v2_struct_0(X81)|~l1_normsp_0(X81)|(~m1_subset_1(X82,u1_struct_0(X81))|k2_normsp_0(X81,X82)=k3_funct_2(u1_struct_0(X81),k1_numbers,u1_normsp_0(X81),X82))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_112])])])).
cnf(c_0_124, negated_conjecture, (r1_xxreal_0(X1,X2)|~l1_rlvect_1(k17_dualsp01(esk1_0))|~r2_hidden(X2,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v1_xreal_0(X1)|~v8_ordinal1(X1)|~v2_normsp_1(k17_dualsp01(esk1_0))|~v4_normsp_0(k17_dualsp01(esk1_0))|~v3_normsp_0(k17_dualsp01(esk1_0))|~v8_rlvect_1(k17_dualsp01(esk1_0))|~v7_rlvect_1(k17_dualsp01(esk1_0))|~v6_rlvect_1(k17_dualsp01(esk1_0))|~v5_rlvect_1(k17_dualsp01(esk1_0))|~v4_rlvect_1(k17_dualsp01(esk1_0))|~v3_rlvect_1(k17_dualsp01(esk1_0))|~v2_rlvect_1(k17_dualsp01(esk1_0))|~v13_algstr_0(k17_dualsp01(esk1_0))), inference(spm,[status(thm)],[c_0_113, c_0_114])).
cnf(c_0_125, plain, (l1_rlvect_1(X1)|~l1_normsp_1(X1)), inference(split_conjunct,[status(thm)],[c_0_87])).
fof(c_0_126, plain, ![X112]:((((((((((((~v2_struct_0(k17_dualsp01(X112))|(v2_struct_0(X112)|~v13_algstr_0(X112)|~v2_rlvect_1(X112)|~v3_rlvect_1(X112)|~v4_rlvect_1(X112)|~v5_rlvect_1(X112)|~v6_rlvect_1(X112)|~v7_rlvect_1(X112)|~v8_rlvect_1(X112)|~v3_normsp_0(X112)|~v4_normsp_0(X112)|~v2_normsp_1(X112)|~l1_normsp_1(X112)))&(v13_algstr_0(k17_dualsp01(X112))|(v2_struct_0(X112)|~v13_algstr_0(X112)|~v2_rlvect_1(X112)|~v3_rlvect_1(X112)|~v4_rlvect_1(X112)|~v5_rlvect_1(X112)|~v6_rlvect_1(X112)|~v7_rlvect_1(X112)|~v8_rlvect_1(X112)|~v3_normsp_0(X112)|~v4_normsp_0(X112)|~v2_normsp_1(X112)|~l1_normsp_1(X112))))&(v2_rlvect_1(k17_dualsp01(X112))|(v2_struct_0(X112)|~v13_algstr_0(X112)|~v2_rlvect_1(X112)|~v3_rlvect_1(X112)|~v4_rlvect_1(X112)|~v5_rlvect_1(X112)|~v6_rlvect_1(X112)|~v7_rlvect_1(X112)|~v8_rlvect_1(X112)|~v3_normsp_0(X112)|~v4_normsp_0(X112)|~v2_normsp_1(X112)|~l1_normsp_1(X112))))&(v3_rlvect_1(k17_dualsp01(X112))|(v2_struct_0(X112)|~v13_algstr_0(X112)|~v2_rlvect_1(X112)|~v3_rlvect_1(X112)|~v4_rlvect_1(X112)|~v5_rlvect_1(X112)|~v6_rlvect_1(X112)|~v7_rlvect_1(X112)|~v8_rlvect_1(X112)|~v3_normsp_0(X112)|~v4_normsp_0(X112)|~v2_normsp_1(X112)|~l1_normsp_1(X112))))&(v4_rlvect_1(k17_dualsp01(X112))|(v2_struct_0(X112)|~v13_algstr_0(X112)|~v2_rlvect_1(X112)|~v3_rlvect_1(X112)|~v4_rlvect_1(X112)|~v5_rlvect_1(X112)|~v6_rlvect_1(X112)|~v7_rlvect_1(X112)|~v8_rlvect_1(X112)|~v3_normsp_0(X112)|~v4_normsp_0(X112)|~v2_normsp_1(X112)|~l1_normsp_1(X112))))&(v5_rlvect_1(k17_dualsp01(X112))|(v2_struct_0(X112)|~v13_algstr_0(X112)|~v2_rlvect_1(X112)|~v3_rlvect_1(X112)|~v4_rlvect_1(X112)|~v5_rlvect_1(X112)|~v6_rlvect_1(X112)|~v7_rlvect_1(X112)|~v8_rlvect_1(X112)|~v3_normsp_0(X112)|~v4_normsp_0(X112)|~v2_normsp_1(X112)|~l1_normsp_1(X112))))&(v6_rlvect_1(k17_dualsp01(X112))|(v2_struct_0(X112)|~v13_algstr_0(X112)|~v2_rlvect_1(X112)|~v3_rlvect_1(X112)|~v4_rlvect_1(X112)|~v5_rlvect_1(X112)|~v6_rlvect_1(X112)|~v7_rlvect_1(X112)|~v8_rlvect_1(X112)|~v3_normsp_0(X112)|~v4_normsp_0(X112)|~v2_normsp_1(X112)|~l1_normsp_1(X112))))&(v7_rlvect_1(k17_dualsp01(X112))|(v2_struct_0(X112)|~v13_algstr_0(X112)|~v2_rlvect_1(X112)|~v3_rlvect_1(X112)|~v4_rlvect_1(X112)|~v5_rlvect_1(X112)|~v6_rlvect_1(X112)|~v7_rlvect_1(X112)|~v8_rlvect_1(X112)|~v3_normsp_0(X112)|~v4_normsp_0(X112)|~v2_normsp_1(X112)|~l1_normsp_1(X112))))&(v8_rlvect_1(k17_dualsp01(X112))|(v2_struct_0(X112)|~v13_algstr_0(X112)|~v2_rlvect_1(X112)|~v3_rlvect_1(X112)|~v4_rlvect_1(X112)|~v5_rlvect_1(X112)|~v6_rlvect_1(X112)|~v7_rlvect_1(X112)|~v8_rlvect_1(X112)|~v3_normsp_0(X112)|~v4_normsp_0(X112)|~v2_normsp_1(X112)|~l1_normsp_1(X112))))&(v3_normsp_0(k17_dualsp01(X112))|(v2_struct_0(X112)|~v13_algstr_0(X112)|~v2_rlvect_1(X112)|~v3_rlvect_1(X112)|~v4_rlvect_1(X112)|~v5_rlvect_1(X112)|~v6_rlvect_1(X112)|~v7_rlvect_1(X112)|~v8_rlvect_1(X112)|~v3_normsp_0(X112)|~v4_normsp_0(X112)|~v2_normsp_1(X112)|~l1_normsp_1(X112))))&(v4_normsp_0(k17_dualsp01(X112))|(v2_struct_0(X112)|~v13_algstr_0(X112)|~v2_rlvect_1(X112)|~v3_rlvect_1(X112)|~v4_rlvect_1(X112)|~v5_rlvect_1(X112)|~v6_rlvect_1(X112)|~v7_rlvect_1(X112)|~v8_rlvect_1(X112)|~v3_normsp_0(X112)|~v4_normsp_0(X112)|~v2_normsp_1(X112)|~l1_normsp_1(X112))))&(v2_normsp_1(k17_dualsp01(X112))|(v2_struct_0(X112)|~v13_algstr_0(X112)|~v2_rlvect_1(X112)|~v3_rlvect_1(X112)|~v4_rlvect_1(X112)|~v5_rlvect_1(X112)|~v6_rlvect_1(X112)|~v7_rlvect_1(X112)|~v8_rlvect_1(X112)|~v3_normsp_0(X112)|~v4_normsp_0(X112)|~v2_normsp_1(X112)|~l1_normsp_1(X112)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_115])])])).
cnf(c_0_127, plain, (v1_xboole_0(u1_struct_0(X1))|m1_subset_1(k3_funct_2(u1_struct_0(X1),k1_numbers,u1_normsp_0(X1),X2),k1_numbers)|~l1_normsp_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116, c_0_117]), c_0_118]), c_0_119])).
cnf(c_0_128, plain, (~r2_hidden(X1,X2)|~v1_xboole_0(X2)), inference(spm,[status(thm)],[c_0_120, c_0_121])).
cnf(c_0_129, negated_conjecture, (r2_hidden(esk2_0,u1_struct_0(k17_dualsp01(esk1_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122, c_0_103])]), c_0_104])).
cnf(c_0_130, plain, (v2_struct_0(X1)|k2_normsp_0(X1,X2)=k3_funct_2(u1_struct_0(X1),k1_numbers,u1_normsp_0(X1),X2)|~l1_normsp_0(X1)|~m1_subset_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_123])).
fof(c_0_131, 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])).
cnf(c_0_132, negated_conjecture, (r1_xxreal_0(X1,X2)|~r2_hidden(X2,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v1_xreal_0(X1)|~v8_ordinal1(X1)|~v2_normsp_1(k17_dualsp01(esk1_0))|~v4_normsp_0(k17_dualsp01(esk1_0))|~v3_normsp_0(k17_dualsp01(esk1_0))|~v8_rlvect_1(k17_dualsp01(esk1_0))|~v7_rlvect_1(k17_dualsp01(esk1_0))|~v6_rlvect_1(k17_dualsp01(esk1_0))|~v5_rlvect_1(k17_dualsp01(esk1_0))|~v4_rlvect_1(k17_dualsp01(esk1_0))|~v3_rlvect_1(k17_dualsp01(esk1_0))|~v2_rlvect_1(k17_dualsp01(esk1_0))|~v13_algstr_0(k17_dualsp01(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124, c_0_125]), c_0_103])])).
cnf(c_0_133, plain, (v2_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_126])).
cnf(c_0_134, plain, (v1_xboole_0(u1_struct_0(X1))|m1_subset_1(k3_funct_2(u1_struct_0(X1),k1_numbers,u1_normsp_0(X1),k5_algstr_0(X1,X2,X3)),k1_numbers)|~l2_algstr_0(X1)|~l1_normsp_0(X1)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))), inference(spm,[status(thm)],[c_0_127, c_0_89])).
cnf(c_0_135, negated_conjecture, (~v1_xboole_0(u1_struct_0(k17_dualsp01(esk1_0)))), inference(spm,[status(thm)],[c_0_128, c_0_129])).
cnf(c_0_136, plain, (k3_funct_2(u1_struct_0(X1),k1_numbers,u1_normsp_0(X1),k5_algstr_0(X1,X2,X3))=k2_normsp_0(X1,k5_algstr_0(X1,X2,X3))|v2_struct_0(X1)|~l2_algstr_0(X1)|~l1_normsp_0(X1)|~m1_subset_1(X3,u1_struct_0(X1))|~m1_subset_1(X2,u1_struct_0(X1))), inference(spm,[status(thm)],[c_0_130, c_0_89])).
fof(c_0_137, plain, ![X1]:((((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v5_rlvect_1(X1))&v6_rlvect_1(X1))&v7_rlvect_1(X1))&v8_rlvect_1(X1))&l1_rlvect_1(X1))=>![X2]:(m1_rlsub_1(X2,X1)=>r1_struct_0(X2,k4_struct_0(X1)))), inference(fof_simplification,[status(thm)],[t17_rlsub_1])).
fof(c_0_138, plain, ![X97, X98]:((v1_rlvect_1(k3_dualsp06(X97,X98))|(v2_struct_0(X97)|~v13_algstr_0(X97)|~v2_rlvect_1(X97)|~v3_rlvect_1(X97)|~v4_rlvect_1(X97)|~v5_rlvect_1(X97)|~v6_rlvect_1(X97)|~v7_rlvect_1(X97)|~v8_rlvect_1(X97)|~v3_normsp_0(X97)|~v4_normsp_0(X97)|~v2_normsp_1(X97)|~l1_normsp_1(X97)|~m1_rlsub_1(X98,X97)))&(m1_rlsub_1(k3_dualsp06(X97,X98),k17_dualsp01(X97))|(v2_struct_0(X97)|~v13_algstr_0(X97)|~v2_rlvect_1(X97)|~v3_rlvect_1(X97)|~v4_rlvect_1(X97)|~v5_rlvect_1(X97)|~v6_rlvect_1(X97)|~v7_rlvect_1(X97)|~v8_rlvect_1(X97)|~v3_normsp_0(X97)|~v4_normsp_0(X97)|~v2_normsp_1(X97)|~l1_normsp_1(X97)|~m1_rlsub_1(X98,X97)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_131])])])).
cnf(c_0_139, negated_conjecture, (r1_xxreal_0(X1,X2)|~r2_hidden(X2,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v1_xreal_0(X1)|~v8_ordinal1(X1)|~v4_normsp_0(k17_dualsp01(esk1_0))|~v3_normsp_0(k17_dualsp01(esk1_0))|~v8_rlvect_1(k17_dualsp01(esk1_0))|~v7_rlvect_1(k17_dualsp01(esk1_0))|~v6_rlvect_1(k17_dualsp01(esk1_0))|~v5_rlvect_1(k17_dualsp01(esk1_0))|~v4_rlvect_1(k17_dualsp01(esk1_0))|~v3_rlvect_1(k17_dualsp01(esk1_0))|~v2_rlvect_1(k17_dualsp01(esk1_0))|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132, c_0_133]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
cnf(c_0_140, plain, (v4_normsp_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_126])).
cnf(c_0_141, negated_conjecture, (m1_subset_1(k3_funct_2(u1_struct_0(k17_dualsp01(esk1_0)),k1_numbers,u1_normsp_0(k17_dualsp01(esk1_0)),k5_algstr_0(k17_dualsp01(esk1_0),X1,esk7_4(X2,esk1_0,esk2_0,esk3_0))),k1_numbers)|~l2_algstr_0(k17_dualsp01(esk1_0))|~r2_hidden(X2,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~l1_normsp_0(k17_dualsp01(esk1_0))|~m1_subset_1(X1,u1_struct_0(k17_dualsp01(esk1_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_134, c_0_105]), c_0_135])).
cnf(c_0_142, negated_conjecture, (k3_funct_2(u1_struct_0(k17_dualsp01(esk1_0)),k1_numbers,u1_normsp_0(k17_dualsp01(esk1_0)),k5_algstr_0(k17_dualsp01(esk1_0),X1,esk7_4(X2,esk1_0,esk2_0,esk3_0)))=k2_normsp_0(k17_dualsp01(esk1_0),k5_algstr_0(k17_dualsp01(esk1_0),X1,esk7_4(X2,esk1_0,esk2_0,esk3_0)))|~l2_algstr_0(k17_dualsp01(esk1_0))|~r2_hidden(X2,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~l1_normsp_0(k17_dualsp01(esk1_0))|~m1_subset_1(X1,u1_struct_0(k17_dualsp01(esk1_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136, c_0_105]), c_0_104])).
fof(c_0_143, plain, ![X124, X125]:(v2_struct_0(X124)|~v13_algstr_0(X124)|~v2_rlvect_1(X124)|~v3_rlvect_1(X124)|~v4_rlvect_1(X124)|~v5_rlvect_1(X124)|~v6_rlvect_1(X124)|~v7_rlvect_1(X124)|~v8_rlvect_1(X124)|~l1_rlvect_1(X124)|(~m1_rlsub_1(X125,X124)|r1_struct_0(X125,k4_struct_0(X124)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_137])])])).
cnf(c_0_144, 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_138])).
cnf(c_0_145, negated_conjecture, (r1_xxreal_0(X1,X2)|~r2_hidden(X2,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v1_xreal_0(X1)|~v8_ordinal1(X1)|~v3_normsp_0(k17_dualsp01(esk1_0))|~v8_rlvect_1(k17_dualsp01(esk1_0))|~v7_rlvect_1(k17_dualsp01(esk1_0))|~v6_rlvect_1(k17_dualsp01(esk1_0))|~v5_rlvect_1(k17_dualsp01(esk1_0))|~v4_rlvect_1(k17_dualsp01(esk1_0))|~v3_rlvect_1(k17_dualsp01(esk1_0))|~v2_rlvect_1(k17_dualsp01(esk1_0))|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139, c_0_140]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
cnf(c_0_146, plain, (v3_normsp_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_126])).
cnf(c_0_147, negated_conjecture, (m1_subset_1(k2_normsp_0(k17_dualsp01(esk1_0),k5_algstr_0(k17_dualsp01(esk1_0),X1,esk7_4(X2,esk1_0,esk2_0,esk3_0))),k1_numbers)|~l2_algstr_0(k17_dualsp01(esk1_0))|~r2_hidden(X2,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~l1_normsp_0(k17_dualsp01(esk1_0))|~m1_subset_1(X1,u1_struct_0(k17_dualsp01(esk1_0)))), inference(spm,[status(thm)],[c_0_141, c_0_142])).
fof(c_0_148, plain, ![X87, X88, X89, X90, X91]:((~r1_tarski(X87,X88)|(~r2_hidden(X89,X87)|r2_hidden(X89,X88)))&((r2_hidden(esk5_2(X90,X91),X90)|r1_tarski(X90,X91))&(~r2_hidden(esk5_2(X90,X91),X91)|r1_tarski(X90,X91)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_tarski])])])])])])).
cnf(c_0_149, plain, (r2_hidden(X3,a_3_3_dualsp06(X2,X4,X5))|v2_struct_0(X2)|v2_struct_0(X5)|~m1_subset_1(X1,u1_struct_0(k17_dualsp01(X2)))|X3!=k2_normsp_0(k17_dualsp01(X2),k5_algstr_0(k17_dualsp01(X2),X4,X1))|~r1_struct_0(k3_dualsp06(X2,X5),X1)|~v13_algstr_0(X2)|~v2_rlvect_1(X2)|~v3_rlvect_1(X2)|~v4_rlvect_1(X2)|~v5_rlvect_1(X2)|~v6_rlvect_1(X2)|~v7_rlvect_1(X2)|~v8_rlvect_1(X2)|~v3_normsp_0(X2)|~v4_normsp_0(X2)|~v2_normsp_1(X2)|~l1_normsp_1(X2)|~m1_subset_1(X4,u1_struct_0(k17_dualsp01(X2)))|~m1_rlsub_1(X5,X2)), inference(split_conjunct,[status(thm)],[c_0_58])).
cnf(c_0_150, plain, (v2_struct_0(X1)|r1_struct_0(X2,k4_struct_0(X1))|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v5_rlvect_1(X1)|~v6_rlvect_1(X1)|~v7_rlvect_1(X1)|~v8_rlvect_1(X1)|~l1_rlvect_1(X1)|~m1_rlsub_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_143])).
cnf(c_0_151, negated_conjecture, (m1_rlsub_1(k3_dualsp06(esk1_0,esk3_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_144, c_0_91]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
cnf(c_0_152, negated_conjecture, (r1_xxreal_0(X1,X2)|~r2_hidden(X2,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v1_xreal_0(X1)|~v8_ordinal1(X1)|~v8_rlvect_1(k17_dualsp01(esk1_0))|~v7_rlvect_1(k17_dualsp01(esk1_0))|~v6_rlvect_1(k17_dualsp01(esk1_0))|~v5_rlvect_1(k17_dualsp01(esk1_0))|~v4_rlvect_1(k17_dualsp01(esk1_0))|~v3_rlvect_1(k17_dualsp01(esk1_0))|~v2_rlvect_1(k17_dualsp01(esk1_0))|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145, c_0_146]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
cnf(c_0_153, 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_126])).
cnf(c_0_154, negated_conjecture, (m1_subset_1(X1,k1_numbers)|~l2_algstr_0(k17_dualsp01(esk1_0))|~r2_hidden(X1,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~l1_normsp_0(k17_dualsp01(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147, c_0_102]), c_0_53])])).
cnf(c_0_155, plain, (r2_hidden(esk5_2(X1,X2),X1)|r1_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_148])).
cnf(c_0_156, plain, (r2_hidden(k2_normsp_0(k17_dualsp01(X1),k5_algstr_0(k17_dualsp01(X1),X2,X3)),a_3_3_dualsp06(X1,X2,X4))|v2_struct_0(X4)|v2_struct_0(X1)|~r1_struct_0(k3_dualsp06(X1,X4),X3)|~m1_rlsub_1(X4,X1)|~m1_subset_1(X2,u1_struct_0(k17_dualsp01(X1)))|~m1_subset_1(X3,u1_struct_0(k17_dualsp01(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_149])).
cnf(c_0_157, negated_conjecture, (r1_struct_0(k3_dualsp06(esk1_0,esk3_0),k4_struct_0(k17_dualsp01(esk1_0)))|~l1_rlvect_1(k17_dualsp01(esk1_0))|~v8_rlvect_1(k17_dualsp01(esk1_0))|~v7_rlvect_1(k17_dualsp01(esk1_0))|~v6_rlvect_1(k17_dualsp01(esk1_0))|~v5_rlvect_1(k17_dualsp01(esk1_0))|~v4_rlvect_1(k17_dualsp01(esk1_0))|~v3_rlvect_1(k17_dualsp01(esk1_0))|~v2_rlvect_1(k17_dualsp01(esk1_0))|~v13_algstr_0(k17_dualsp01(esk1_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150, c_0_151]), c_0_104])).
cnf(c_0_158, negated_conjecture, (r1_xxreal_0(X1,X2)|~r2_hidden(X2,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v1_xreal_0(X1)|~v8_ordinal1(X1)|~v7_rlvect_1(k17_dualsp01(esk1_0))|~v6_rlvect_1(k17_dualsp01(esk1_0))|~v5_rlvect_1(k17_dualsp01(esk1_0))|~v4_rlvect_1(k17_dualsp01(esk1_0))|~v3_rlvect_1(k17_dualsp01(esk1_0))|~v2_rlvect_1(k17_dualsp01(esk1_0))|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152, c_0_153]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
cnf(c_0_159, 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_126])).
cnf(c_0_160, negated_conjecture, (r1_tarski(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0),X1)|m1_subset_1(esk5_2(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0),X1),k1_numbers)|~l2_algstr_0(k17_dualsp01(esk1_0))|~l1_normsp_0(k17_dualsp01(esk1_0))), inference(spm,[status(thm)],[c_0_154, c_0_155])).
cnf(c_0_161, negated_conjecture, (r2_hidden(k2_normsp_0(k17_dualsp01(esk1_0),k5_algstr_0(k17_dualsp01(esk1_0),X1,k4_struct_0(k17_dualsp01(esk1_0)))),a_3_3_dualsp06(esk1_0,X1,esk3_0))|~l1_rlvect_1(k17_dualsp01(esk1_0))|~m1_subset_1(k4_struct_0(k17_dualsp01(esk1_0)),u1_struct_0(k17_dualsp01(esk1_0)))|~m1_subset_1(X1,u1_struct_0(k17_dualsp01(esk1_0)))|~v8_rlvect_1(k17_dualsp01(esk1_0))|~v7_rlvect_1(k17_dualsp01(esk1_0))|~v6_rlvect_1(k17_dualsp01(esk1_0))|~v5_rlvect_1(k17_dualsp01(esk1_0))|~v4_rlvect_1(k17_dualsp01(esk1_0))|~v3_rlvect_1(k17_dualsp01(esk1_0))|~v2_rlvect_1(k17_dualsp01(esk1_0))|~v13_algstr_0(k17_dualsp01(esk1_0))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156, c_0_157]), c_0_91]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80]), c_0_92])).
cnf(c_0_162, negated_conjecture, (r1_xxreal_0(X1,X2)|~r2_hidden(X2,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v1_xreal_0(X1)|~v8_ordinal1(X1)|~v6_rlvect_1(k17_dualsp01(esk1_0))|~v5_rlvect_1(k17_dualsp01(esk1_0))|~v4_rlvect_1(k17_dualsp01(esk1_0))|~v3_rlvect_1(k17_dualsp01(esk1_0))|~v2_rlvect_1(k17_dualsp01(esk1_0))|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158, c_0_159]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
cnf(c_0_163, 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_126])).
cnf(c_0_164, negated_conjecture, (r1_tarski(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0),X1)|m1_subset_1(esk5_2(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0),X1),k1_numbers)|~l1_rlvect_1(k17_dualsp01(esk1_0))|~l1_normsp_0(k17_dualsp01(esk1_0))), inference(spm,[status(thm)],[c_0_160, c_0_114])).
cnf(c_0_165, negated_conjecture, (~l1_rlvect_1(k17_dualsp01(esk1_0))|~v1_xboole_0(a_3_3_dualsp06(esk1_0,X1,esk3_0))|~m1_subset_1(k4_struct_0(k17_dualsp01(esk1_0)),u1_struct_0(k17_dualsp01(esk1_0)))|~m1_subset_1(X1,u1_struct_0(k17_dualsp01(esk1_0)))|~v8_rlvect_1(k17_dualsp01(esk1_0))|~v7_rlvect_1(k17_dualsp01(esk1_0))|~v6_rlvect_1(k17_dualsp01(esk1_0))|~v5_rlvect_1(k17_dualsp01(esk1_0))|~v4_rlvect_1(k17_dualsp01(esk1_0))|~v3_rlvect_1(k17_dualsp01(esk1_0))|~v2_rlvect_1(k17_dualsp01(esk1_0))|~v13_algstr_0(k17_dualsp01(esk1_0))), inference(spm,[status(thm)],[c_0_128, c_0_161])).
cnf(c_0_166, negated_conjecture, (r1_xxreal_0(X1,X2)|~r2_hidden(X2,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v1_xreal_0(X1)|~v8_ordinal1(X1)|~v5_rlvect_1(k17_dualsp01(esk1_0))|~v4_rlvect_1(k17_dualsp01(esk1_0))|~v3_rlvect_1(k17_dualsp01(esk1_0))|~v2_rlvect_1(k17_dualsp01(esk1_0))|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162, c_0_163]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
cnf(c_0_167, 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_126])).
cnf(c_0_168, negated_conjecture, (r1_tarski(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0),X1)|m1_subset_1(esk5_2(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0),X1),k1_numbers)|~l1_normsp_0(k17_dualsp01(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164, c_0_125]), c_0_103])])).
fof(c_0_169, plain, ~v1_xboole_0(k1_numbers), inference(fof_simplification,[status(thm)],[fc1_numbers])).
cnf(c_0_170, negated_conjecture, (~v1_xboole_0(a_3_3_dualsp06(esk1_0,X1,esk3_0))|~m1_subset_1(k4_struct_0(k17_dualsp01(esk1_0)),u1_struct_0(k17_dualsp01(esk1_0)))|~m1_subset_1(X1,u1_struct_0(k17_dualsp01(esk1_0)))|~v8_rlvect_1(k17_dualsp01(esk1_0))|~v7_rlvect_1(k17_dualsp01(esk1_0))|~v6_rlvect_1(k17_dualsp01(esk1_0))|~v5_rlvect_1(k17_dualsp01(esk1_0))|~v4_rlvect_1(k17_dualsp01(esk1_0))|~v3_rlvect_1(k17_dualsp01(esk1_0))|~v2_rlvect_1(k17_dualsp01(esk1_0))|~v13_algstr_0(k17_dualsp01(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165, c_0_125]), c_0_103])])).
cnf(c_0_171, negated_conjecture, (r1_xxreal_0(X1,X2)|~r2_hidden(X2,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v1_xreal_0(X1)|~v8_ordinal1(X1)|~v4_rlvect_1(k17_dualsp01(esk1_0))|~v3_rlvect_1(k17_dualsp01(esk1_0))|~v2_rlvect_1(k17_dualsp01(esk1_0))|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166, c_0_167]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
cnf(c_0_172, 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_126])).
cnf(c_0_173, negated_conjecture, (r1_tarski(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0),X1)|m1_subset_1(esk5_2(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0),X1),k1_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168, c_0_111]), c_0_103])])).
cnf(c_0_174, plain, (~v1_xboole_0(k1_numbers)), inference(split_conjunct,[status(thm)],[c_0_169])).
cnf(c_0_175, negated_conjecture, (~v1_xboole_0(a_3_3_dualsp06(esk1_0,X1,esk3_0))|~m1_subset_1(k4_struct_0(k17_dualsp01(esk1_0)),u1_struct_0(k17_dualsp01(esk1_0)))|~m1_subset_1(X1,u1_struct_0(k17_dualsp01(esk1_0)))|~v7_rlvect_1(k17_dualsp01(esk1_0))|~v6_rlvect_1(k17_dualsp01(esk1_0))|~v5_rlvect_1(k17_dualsp01(esk1_0))|~v4_rlvect_1(k17_dualsp01(esk1_0))|~v3_rlvect_1(k17_dualsp01(esk1_0))|~v2_rlvect_1(k17_dualsp01(esk1_0))|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170, c_0_153]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
cnf(c_0_176, negated_conjecture, (r1_xxreal_0(X1,X2)|~r2_hidden(X2,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v1_xreal_0(X1)|~v8_ordinal1(X1)|~v3_rlvect_1(k17_dualsp01(esk1_0))|~v2_rlvect_1(k17_dualsp01(esk1_0))|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171, c_0_172]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
cnf(c_0_177, 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_126])).
fof(c_0_178, plain, ![X71, X72]:(~v3_membered(X71)|(~m1_subset_1(X72,k1_zfmisc_1(X71))|v3_membered(X72))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc15_membered])])])).
fof(c_0_179, plain, ![X128, X129]:((~m1_subset_1(X128,k1_zfmisc_1(X129))|r1_tarski(X128,X129))&(~r1_tarski(X128,X129)|m1_subset_1(X128,k1_zfmisc_1(X129)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])])).
cnf(c_0_180, negated_conjecture, (r2_tarski(esk5_2(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0),X1),k1_numbers)|r1_tarski(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0),X1)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_173]), c_0_174])).
cnf(c_0_181, negated_conjecture, (~v1_xboole_0(a_3_3_dualsp06(esk1_0,X1,esk3_0))|~m1_subset_1(k4_struct_0(k17_dualsp01(esk1_0)),u1_struct_0(k17_dualsp01(esk1_0)))|~m1_subset_1(X1,u1_struct_0(k17_dualsp01(esk1_0)))|~v6_rlvect_1(k17_dualsp01(esk1_0))|~v5_rlvect_1(k17_dualsp01(esk1_0))|~v4_rlvect_1(k17_dualsp01(esk1_0))|~v3_rlvect_1(k17_dualsp01(esk1_0))|~v2_rlvect_1(k17_dualsp01(esk1_0))|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175, c_0_159]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
cnf(c_0_182, negated_conjecture, (r1_xxreal_0(X1,X2)|~r2_hidden(X2,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v1_xreal_0(X1)|~v8_ordinal1(X1)|~v2_rlvect_1(k17_dualsp01(esk1_0))|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176, c_0_177]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
cnf(c_0_183, 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_126])).
cnf(c_0_184, plain, (v3_membered(X2)|~v3_membered(X1)|~m1_subset_1(X2,k1_zfmisc_1(X1))), inference(split_conjunct,[status(thm)],[c_0_178])).
cnf(c_0_185, plain, (m1_subset_1(X1,k1_zfmisc_1(X2))|~r1_tarski(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_179])).
cnf(c_0_186, plain, (r1_tarski(X1,X2)|~r2_hidden(esk5_2(X1,X2),X2)), inference(split_conjunct,[status(thm)],[c_0_148])).
cnf(c_0_187, negated_conjecture, (r1_tarski(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0),X1)|r2_hidden(esk5_2(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0),X1),k1_numbers)), inference(spm,[status(thm)],[c_0_61, c_0_180])).
cnf(c_0_188, negated_conjecture, (~v1_xboole_0(a_3_3_dualsp06(esk1_0,X1,esk3_0))|~m1_subset_1(k4_struct_0(k17_dualsp01(esk1_0)),u1_struct_0(k17_dualsp01(esk1_0)))|~m1_subset_1(X1,u1_struct_0(k17_dualsp01(esk1_0)))|~v5_rlvect_1(k17_dualsp01(esk1_0))|~v4_rlvect_1(k17_dualsp01(esk1_0))|~v3_rlvect_1(k17_dualsp01(esk1_0))|~v2_rlvect_1(k17_dualsp01(esk1_0))|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181, c_0_163]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
cnf(c_0_189, negated_conjecture, (r1_xxreal_0(X1,X2)|~r2_hidden(X2,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v1_xreal_0(X1)|~v8_ordinal1(X1)|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182, c_0_183]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
cnf(c_0_190, 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_126])).
fof(c_0_191, plain, ![X83, X84, X85]:((~m2_xxreal_2(X84,X83)|(~v1_xxreal_0(X85)|(~r2_hidden(X85,X83)|r1_xxreal_0(X84,X85)))|~v1_xxreal_0(X84)|~v2_membered(X83))&((v1_xxreal_0(esk4_2(X83,X84))|m2_xxreal_2(X84,X83)|~v1_xxreal_0(X84)|~v2_membered(X83))&((r2_hidden(esk4_2(X83,X84),X83)|m2_xxreal_2(X84,X83)|~v1_xxreal_0(X84)|~v2_membered(X83))&(~r1_xxreal_0(X84,esk4_2(X83,X84))|m2_xxreal_2(X84,X83)|~v1_xxreal_0(X84)|~v2_membered(X83))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_xxreal_2])])])])])).
fof(c_0_192, plain, ![X76]:(~v3_membered(X76)|v2_membered(X76)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_membered])])).
cnf(c_0_193, plain, (v3_membered(X1)|~r1_tarski(X1,X2)|~v3_membered(X2)), inference(spm,[status(thm)],[c_0_184, c_0_185])).
cnf(c_0_194, negated_conjecture, (r1_tarski(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0),k1_numbers)), inference(spm,[status(thm)],[c_0_186, c_0_187])).
cnf(c_0_195, plain, (v3_membered(k1_numbers)), inference(split_conjunct,[status(thm)],[fc3_membered])).
cnf(c_0_196, negated_conjecture, (~v1_xboole_0(a_3_3_dualsp06(esk1_0,X1,esk3_0))|~m1_subset_1(k4_struct_0(k17_dualsp01(esk1_0)),u1_struct_0(k17_dualsp01(esk1_0)))|~m1_subset_1(X1,u1_struct_0(k17_dualsp01(esk1_0)))|~v4_rlvect_1(k17_dualsp01(esk1_0))|~v3_rlvect_1(k17_dualsp01(esk1_0))|~v2_rlvect_1(k17_dualsp01(esk1_0))|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188, c_0_167]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
cnf(c_0_197, negated_conjecture, (r1_xxreal_0(X1,X2)|~r2_hidden(X2,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v1_xreal_0(X1)|~v8_ordinal1(X1)), 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_189, c_0_190]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
cnf(c_0_198, plain, (r2_hidden(esk4_2(X1,X2),X1)|m2_xxreal_2(X2,X1)|~v1_xxreal_0(X2)|~v2_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_191])).
cnf(c_0_199, plain, (v2_membered(X1)|~v3_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_192])).
cnf(c_0_200, negated_conjecture, (v3_membered(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193, c_0_194]), c_0_195])])).
cnf(c_0_201, negated_conjecture, (~v1_xboole_0(a_3_3_dualsp06(esk1_0,X1,esk3_0))|~m1_subset_1(k4_struct_0(k17_dualsp01(esk1_0)),u1_struct_0(k17_dualsp01(esk1_0)))|~m1_subset_1(X1,u1_struct_0(k17_dualsp01(esk1_0)))|~v3_rlvect_1(k17_dualsp01(esk1_0))|~v2_rlvect_1(k17_dualsp01(esk1_0))|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196, c_0_172]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
cnf(c_0_202, negated_conjecture, (r1_xxreal_0(X1,esk4_2(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0),X2))|m2_xxreal_2(X2,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v1_xxreal_0(X2)|~v1_xreal_0(X1)|~v2_membered(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v8_ordinal1(X1)), inference(spm,[status(thm)],[c_0_197, c_0_198])).
cnf(c_0_203, negated_conjecture, (v2_membered(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))), inference(spm,[status(thm)],[c_0_199, c_0_200])).
fof(c_0_204, plain, ![X78]:(~v1_xreal_0(X78)|v1_xxreal_0(X78)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_xreal_0])])).
cnf(c_0_205, negated_conjecture, (~v1_xboole_0(a_3_3_dualsp06(esk1_0,X1,esk3_0))|~m1_subset_1(k4_struct_0(k17_dualsp01(esk1_0)),u1_struct_0(k17_dualsp01(esk1_0)))|~m1_subset_1(X1,u1_struct_0(k17_dualsp01(esk1_0)))|~v2_rlvect_1(k17_dualsp01(esk1_0))|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201, c_0_177]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
fof(c_0_206, plain, ![X93, X95]:(((v1_xreal_0(esk6_1(X93))|~v3_xxreal_2(X93)|~v2_membered(X93))&(m2_xxreal_2(esk6_1(X93),X93)|~v3_xxreal_2(X93)|~v2_membered(X93)))&(~v1_xreal_0(X95)|~m2_xxreal_2(X95,X93)|v3_xxreal_2(X93)|~v2_membered(X93))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d9_xxreal_2])])])])])).
cnf(c_0_207, plain, (m2_xxreal_2(X1,X2)|~r1_xxreal_0(X1,esk4_2(X2,X1))|~v1_xxreal_0(X1)|~v2_membered(X2)), inference(split_conjunct,[status(thm)],[c_0_191])).
cnf(c_0_208, negated_conjecture, (r1_xxreal_0(X1,esk4_2(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0),X2))|m2_xxreal_2(X2,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v1_xxreal_0(X2)|~v1_xreal_0(X1)|~v8_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_202, c_0_203])])).
cnf(c_0_209, plain, (v1_xxreal_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_204])).
cnf(c_0_210, negated_conjecture, (~v1_xboole_0(a_3_3_dualsp06(esk1_0,X1,esk3_0))|~m1_subset_1(k4_struct_0(k17_dualsp01(esk1_0)),u1_struct_0(k17_dualsp01(esk1_0)))|~m1_subset_1(X1,u1_struct_0(k17_dualsp01(esk1_0)))|~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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205, c_0_183]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
fof(c_0_211, plain, ![X103]:(~l2_struct_0(X103)|m1_subset_1(k4_struct_0(X103),u1_struct_0(X103))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k4_struct_0])])).
cnf(c_0_212, negated_conjecture, (v1_xboole_0(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v3_membered(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v3_xxreal_2(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_213, plain, (v3_xxreal_2(X2)|~v1_xreal_0(X1)|~m2_xxreal_2(X1,X2)|~v2_membered(X2)), inference(split_conjunct,[status(thm)],[c_0_206])).
cnf(c_0_214, negated_conjecture, (m2_xxreal_2(X1,a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v1_xreal_0(X1)|~v8_ordinal1(X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207, c_0_208]), c_0_203])]), c_0_209])).
fof(c_0_215, plain, ![X74]:(~v5_membered(X74)|v4_membered(X74)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_membered])])).
fof(c_0_216, plain, ![X73]:(~v6_membered(X73)|v5_membered(X73)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_membered])])).
cnf(c_0_217, negated_conjecture, (~v1_xboole_0(a_3_3_dualsp06(esk1_0,X1,esk3_0))|~m1_subset_1(k4_struct_0(k17_dualsp01(esk1_0)),u1_struct_0(k17_dualsp01(esk1_0)))|~m1_subset_1(X1,u1_struct_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_210, c_0_190]), c_0_68]), c_0_69]), c_0_70]), c_0_71]), c_0_72]), c_0_73]), c_0_74]), c_0_75]), c_0_76]), c_0_77]), c_0_78]), c_0_79])]), c_0_80])).
cnf(c_0_218, plain, (m1_subset_1(k4_struct_0(X1),u1_struct_0(X1))|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_211])).
cnf(c_0_219, negated_conjecture, (v1_xboole_0(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v3_xxreal_2(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212, c_0_200])])).
cnf(c_0_220, negated_conjecture, (v3_xxreal_2(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v1_xreal_0(X1)|~v8_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213, c_0_214]), c_0_203])])).
fof(c_0_221, plain, ![X75]:(~v4_membered(X75)|v3_membered(X75)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_membered])])).
cnf(c_0_222, plain, (v4_membered(X1)|~v5_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_215])).
cnf(c_0_223, plain, (v5_membered(X1)|~v6_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_216])).
cnf(c_0_224, negated_conjecture, (~l2_struct_0(k17_dualsp01(esk1_0))|~v1_xboole_0(a_3_3_dualsp06(esk1_0,X1,esk3_0))|~m1_subset_1(X1,u1_struct_0(k17_dualsp01(esk1_0)))), inference(spm,[status(thm)],[c_0_217, c_0_218])).
cnf(c_0_225, negated_conjecture, (v1_xboole_0(a_3_3_dualsp06(esk1_0,esk2_0,esk3_0))|~v1_xreal_0(X1)|~v8_ordinal1(X1)), inference(spm,[status(thm)],[c_0_219, c_0_220])).
cnf(c_0_226, plain, (v3_membered(X1)|~v4_membered(X1)), inference(split_conjunct,[status(thm)],[c_0_221])).
cnf(c_0_227, plain, (v4_membered(X1)|~v6_membered(X1)), inference(spm,[status(thm)],[c_0_222, c_0_223])).
cnf(c_0_228, negated_conjecture, (~l2_struct_0(k17_dualsp01(esk1_0))|~v1_xreal_0(X1)|~v8_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224, c_0_225]), c_0_53])])).
cnf(c_0_229, plain, (l2_struct_0(X1)|~l2_normsp_0(X1)), inference(split_conjunct,[status(thm)],[c_0_86])).
fof(c_0_230, plain, ![X79, X80]:(~v3_membered(X79)|(~m1_subset_1(X80,X79)|v1_xreal_0(X80))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_membered])])])).
cnf(c_0_231, plain, (v3_membered(X1)|~v6_membered(X1)), inference(spm,[status(thm)],[c_0_226, c_0_227])).
cnf(c_0_232, plain, (v6_membered(k4_ordinal1)), inference(split_conjunct,[status(thm)],[fc6_membered])).
cnf(c_0_233, negated_conjecture, (~l2_normsp_0(k17_dualsp01(esk1_0))|~v1_xreal_0(X1)|~v8_ordinal1(X1)), inference(spm,[status(thm)],[c_0_228, c_0_229])).
cnf(c_0_234, plain, (v8_ordinal1(k5_ordinal1)), inference(split_conjunct,[status(thm)],[fc9_ordinal1])).
cnf(c_0_235, plain, (k5_numbers=k5_ordinal1), inference(split_conjunct,[status(thm)],[redefinition_k5_numbers])).
cnf(c_0_236, plain, (v1_xreal_0(X2)|~v3_membered(X1)|~m1_subset_1(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_230])).
cnf(c_0_237, plain, (m1_subset_1(k5_numbers,k4_ordinal1)), inference(split_conjunct,[status(thm)],[dt_k5_numbers])).
cnf(c_0_238, plain, (v3_membered(k4_ordinal1)), inference(spm,[status(thm)],[c_0_231, c_0_232])).
cnf(c_0_239, negated_conjecture, (~v1_xreal_0(X1)|~v8_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233, c_0_100]), c_0_103])])).
cnf(c_0_240, plain, (v8_ordinal1(k5_numbers)), inference(rw,[status(thm)],[c_0_234, c_0_235])).
cnf(c_0_241, plain, (v1_xreal_0(k5_numbers)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236, c_0_237]), c_0_238])])).
cnf(c_0_242, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239, c_0_240]), c_0_241])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 243
# Proof object clause steps            : 156
# Proof object formula steps           : 87
# Proof object conjectures             : 84
# Proof object clause conjectures      : 81
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 77
# Proof object initial formulas used   : 40
# Proof object generating inferences   : 74
# Proof object simplifying inferences  : 399
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 40
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 87
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 86
# Processed clauses                    : 1033
# ...of these trivial                  : 0
# ...subsumed                          : 293
# ...remaining for further processing  : 740
# Other redundant clauses eliminated   : 1
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 242
# Backward-rewritten                   : 9
# Generated clauses                    : 1135
# ...of the previous two non-trivial   : 1076
# Contextual simplify-reflections      : 64
# Paramodulations                      : 1131
# Factorizations                       : 2
# 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  : 402
#    Positive orientable unit clauses  : 33
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 5
#    Non-unit-clauses                  : 364
# Current number of unprocessed clauses: 195
# ...number of literals in the above   : 1890
# Current number of archived formulas  : 0
# Current number of archived clauses   : 337
# Clause-clause subsumption calls (NU) : 330868
# Rec. Clause-clause subsumption calls : 13072
# Non-unit clause-clause subsumptions  : 532
# Unit Clause-clause subsumption calls : 365
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 6
# BW rewrite match successes           : 4
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 58415

# -------------------------------------------------
# User time                : 0.153 s
# System time              : 0.004 s
# Total time               : 0.157 s
# Maximum resident set size: 3304 pages
