# 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       : 0.017 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t23_vectsp13, axiom, ![X1]:(((((((((~(v2_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>((r1_xxreal_0(np__1,X3)&r1_xxreal_0(X3,X2))=>(k1_funct_1(k9_vectsp13(X1,X2,X3),X3)=k5_struct_0(X1)&![X4]:(v7_ordinal1(X4)=>((r1_xxreal_0(np__1,X4)&r1_xxreal_0(X4,X2))=>(X4=X3|k1_funct_1(k9_vectsp13(X1,X2,X3),X4)=k4_struct_0(X1))))))))), file('vectsp13/vectsp13__t24_vectsp13', t23_vectsp13)).
fof(t24_vectsp13, conjecture, ![X1]:((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>![X4]:(v7_ordinal1(X4)=>((((r1_xxreal_0(np__1,X3)&r1_xxreal_0(X3,X2))&r1_xxreal_0(np__1,X4))&r1_xxreal_0(X4,X2))=>(k9_vectsp13(X1,X2,X3)=k9_vectsp13(X1,X2,X4)<=>X3=X4)))))), file('vectsp13/vectsp13__t24_vectsp13', t24_vectsp13)).
fof(fc11_struct_0, axiom, ![X1]:((~(v6_struct_0(X1))&l4_struct_0(X1))=>~(v9_struct_0(k5_struct_0(X1),X1))), file('vectsp13/vectsp13__t24_vectsp13', fc11_struct_0)).
fof(fc10_struct_0, axiom, ![X1]:(l2_struct_0(X1)=>v9_struct_0(k4_struct_0(X1),X1)), file('vectsp13/vectsp13__t24_vectsp13', fc10_struct_0)).
fof(dt_l4_struct_0, axiom, ![X1]:(l4_struct_0(X1)=>(l2_struct_0(X1)&l3_struct_0(X1))), file('vectsp13/vectsp13__t24_vectsp13', dt_l4_struct_0)).
fof(dt_l5_algstr_0, axiom, ![X1]:(l5_algstr_0(X1)=>(l4_algstr_0(X1)&l4_struct_0(X1))), file('vectsp13/vectsp13__t24_vectsp13', dt_l5_algstr_0)).
fof(dt_l6_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(l2_algstr_0(X1)&l5_algstr_0(X1))), file('vectsp13/vectsp13__t24_vectsp13', dt_l6_algstr_0)).
fof(c_0_7, plain, ![X1]:(((((((((~v2_struct_0(X1)&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>((r1_xxreal_0(np__1,X3)&r1_xxreal_0(X3,X2))=>(k1_funct_1(k9_vectsp13(X1,X2,X3),X3)=k5_struct_0(X1)&![X4]:(v7_ordinal1(X4)=>((r1_xxreal_0(np__1,X4)&r1_xxreal_0(X4,X2))=>(X4=X3|k1_funct_1(k9_vectsp13(X1,X2,X3),X4)=k4_struct_0(X1))))))))), inference(fof_simplification,[status(thm)],[t23_vectsp13])).
fof(c_0_8, negated_conjecture, ~(![X1]:((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v13_algstr_0(X1))&v2_rlvect_1(X1))&v3_rlvect_1(X1))&v4_rlvect_1(X1))&v4_vectsp_1(X1))&v5_vectsp_1(X1))&v3_group_1(X1))&l6_algstr_0(X1))=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>![X4]:(v7_ordinal1(X4)=>((((r1_xxreal_0(np__1,X3)&r1_xxreal_0(X3,X2))&r1_xxreal_0(np__1,X4))&r1_xxreal_0(X4,X2))=>(k9_vectsp13(X1,X2,X3)=k9_vectsp13(X1,X2,X4)<=>X3=X4))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t24_vectsp13])])).
fof(c_0_9, plain, ![X27, X28, X29, X30]:((k1_funct_1(k9_vectsp13(X27,X28,X29),X29)=k5_struct_0(X27)|(~r1_xxreal_0(np__1,X29)|~r1_xxreal_0(X29,X28))|~v7_ordinal1(X29)|~v7_ordinal1(X28)|(v2_struct_0(X27)|~v13_algstr_0(X27)|~v2_rlvect_1(X27)|~v3_rlvect_1(X27)|~v4_rlvect_1(X27)|~v4_vectsp_1(X27)|~v5_vectsp_1(X27)|~v3_group_1(X27)|~l6_algstr_0(X27)))&(~v7_ordinal1(X30)|(~r1_xxreal_0(np__1,X30)|~r1_xxreal_0(X30,X28)|(X30=X29|k1_funct_1(k9_vectsp13(X27,X28,X29),X30)=k4_struct_0(X27)))|(~r1_xxreal_0(np__1,X29)|~r1_xxreal_0(X29,X28))|~v7_ordinal1(X29)|~v7_ordinal1(X28)|(v2_struct_0(X27)|~v13_algstr_0(X27)|~v2_rlvect_1(X27)|~v3_rlvect_1(X27)|~v4_rlvect_1(X27)|~v4_vectsp_1(X27)|~v5_vectsp_1(X27)|~v3_group_1(X27)|~l6_algstr_0(X27)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])).
fof(c_0_10, negated_conjecture, ((((((((((~v2_struct_0(esk1_0)&~v6_struct_0(esk1_0))&v13_algstr_0(esk1_0))&v2_rlvect_1(esk1_0))&v3_rlvect_1(esk1_0))&v4_rlvect_1(esk1_0))&v4_vectsp_1(esk1_0))&v5_vectsp_1(esk1_0))&v3_group_1(esk1_0))&l6_algstr_0(esk1_0))&(v7_ordinal1(esk2_0)&(v7_ordinal1(esk3_0)&(v7_ordinal1(esk4_0)&((((r1_xxreal_0(np__1,esk3_0)&r1_xxreal_0(esk3_0,esk2_0))&r1_xxreal_0(np__1,esk4_0))&r1_xxreal_0(esk4_0,esk2_0))&((k9_vectsp13(esk1_0,esk2_0,esk3_0)!=k9_vectsp13(esk1_0,esk2_0,esk4_0)|esk3_0!=esk4_0)&(k9_vectsp13(esk1_0,esk2_0,esk3_0)=k9_vectsp13(esk1_0,esk2_0,esk4_0)|esk3_0=esk4_0))))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])).
cnf(c_0_11, plain, (X1=X3|k1_funct_1(k9_vectsp13(X4,X2,X3),X1)=k4_struct_0(X4)|v2_struct_0(X4)|~v7_ordinal1(X1)|~r1_xxreal_0(np__1,X1)|~r1_xxreal_0(X1,X2)|~r1_xxreal_0(np__1,X3)|~r1_xxreal_0(X3,X2)|~v7_ordinal1(X3)|~v7_ordinal1(X2)|~v13_algstr_0(X4)|~v2_rlvect_1(X4)|~v3_rlvect_1(X4)|~v4_rlvect_1(X4)|~v4_vectsp_1(X4)|~v5_vectsp_1(X4)|~v3_group_1(X4)|~l6_algstr_0(X4)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_12, negated_conjecture, (r1_xxreal_0(np__1,esk4_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_13, negated_conjecture, (v7_ordinal1(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_14, negated_conjecture, (k1_funct_1(k9_vectsp13(X1,X2,esk4_0),X3)=k4_struct_0(X1)|X3=esk4_0|v2_struct_0(X1)|~r1_xxreal_0(np__1,X3)|~r1_xxreal_0(esk4_0,X2)|~r1_xxreal_0(X3,X2)|~v7_ordinal1(X2)|~v7_ordinal1(X3)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12]), c_0_13])])).
cnf(c_0_15, negated_conjecture, (r1_xxreal_0(np__1,esk3_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_16, negated_conjecture, (v7_ordinal1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_17, plain, (k1_funct_1(k9_vectsp13(X1,X2,X3),X3)=k5_struct_0(X1)|v2_struct_0(X1)|~r1_xxreal_0(np__1,X3)|~r1_xxreal_0(X3,X2)|~v7_ordinal1(X3)|~v7_ordinal1(X2)|~v13_algstr_0(X1)|~v2_rlvect_1(X1)|~v3_rlvect_1(X1)|~v4_rlvect_1(X1)|~v4_vectsp_1(X1)|~v5_vectsp_1(X1)|~v3_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_18, negated_conjecture, (k1_funct_1(k9_vectsp13(X1,X2,esk4_0),esk3_0)=k4_struct_0(X1)|esk4_0=esk3_0|v2_struct_0(X1)|~r1_xxreal_0(esk4_0,X2)|~r1_xxreal_0(esk3_0,X2)|~v7_ordinal1(X2)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16])])).
cnf(c_0_19, negated_conjecture, (r1_xxreal_0(esk4_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_20, negated_conjecture, (r1_xxreal_0(esk3_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_21, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_22, negated_conjecture, (k1_funct_1(k9_vectsp13(X1,X2,esk3_0),esk3_0)=k5_struct_0(X1)|v2_struct_0(X1)|~r1_xxreal_0(esk3_0,X2)|~v7_ordinal1(X2)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_15]), c_0_16])])).
fof(c_0_23, plain, ![X1]:((~v6_struct_0(X1)&l4_struct_0(X1))=>~v9_struct_0(k5_struct_0(X1),X1)), inference(fof_simplification,[status(thm)],[fc11_struct_0])).
cnf(c_0_24, negated_conjecture, (k1_funct_1(k9_vectsp13(X1,esk2_0,esk4_0),esk3_0)=k4_struct_0(X1)|esk4_0=esk3_0|v2_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_20]), c_0_21])])).
cnf(c_0_25, negated_conjecture, (l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_26, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_27, negated_conjecture, (v5_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_28, negated_conjecture, (v4_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_29, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_30, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_31, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_32, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_33, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_34, negated_conjecture, (k1_funct_1(k9_vectsp13(X1,esk2_0,esk3_0),esk3_0)=k5_struct_0(X1)|v2_struct_0(X1)|~l6_algstr_0(X1)|~v3_group_1(X1)|~v5_vectsp_1(X1)|~v4_vectsp_1(X1)|~v4_rlvect_1(X1)|~v3_rlvect_1(X1)|~v2_rlvect_1(X1)|~v13_algstr_0(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_20]), c_0_21])])).
fof(c_0_35, plain, ![X26]:(v6_struct_0(X26)|~l4_struct_0(X26)|~v9_struct_0(k5_struct_0(X26),X26)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])).
cnf(c_0_36, negated_conjecture, (k1_funct_1(k9_vectsp13(esk1_0,esk2_0,esk4_0),esk3_0)=k4_struct_0(esk1_0)|esk4_0=esk3_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(spm,[status(thm)],[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])).
cnf(c_0_37, negated_conjecture, (k9_vectsp13(esk1_0,esk2_0,esk3_0)=k9_vectsp13(esk1_0,esk2_0,esk4_0)|esk3_0=esk4_0), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_38, negated_conjecture, (k1_funct_1(k9_vectsp13(esk1_0,esk2_0,esk3_0),esk3_0)=k5_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(spm,[status(thm)],[c_0_34, 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])).
cnf(c_0_39, plain, (v6_struct_0(X1)|~l4_struct_0(X1)|~v9_struct_0(k5_struct_0(X1),X1)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_40, negated_conjecture, (k5_struct_0(esk1_0)=k4_struct_0(esk1_0)|esk4_0=esk3_0), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38])).
cnf(c_0_41, negated_conjecture, (~v6_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_42, plain, ![X25]:(~l2_struct_0(X25)|v9_struct_0(k4_struct_0(X25),X25)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_struct_0])])).
fof(c_0_43, plain, ![X22]:((l2_struct_0(X22)|~l4_struct_0(X22))&(l3_struct_0(X22)|~l4_struct_0(X22))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l4_struct_0])])])).
fof(c_0_44, plain, ![X23]:((l4_algstr_0(X23)|~l5_algstr_0(X23))&(l4_struct_0(X23)|~l5_algstr_0(X23))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l5_algstr_0])])])).
fof(c_0_45, plain, ![X24]:((l2_algstr_0(X24)|~l6_algstr_0(X24))&(l5_algstr_0(X24)|~l6_algstr_0(X24))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
cnf(c_0_46, negated_conjecture, (esk4_0=esk3_0|~v9_struct_0(k4_struct_0(esk1_0),esk1_0)|~l4_struct_0(esk1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_41])).
cnf(c_0_47, plain, (v9_struct_0(k4_struct_0(X1),X1)|~l2_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_42])).
cnf(c_0_48, plain, (l2_struct_0(X1)|~l4_struct_0(X1)), inference(split_conjunct,[status(thm)],[c_0_43])).
cnf(c_0_49, plain, (l4_struct_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_44])).
cnf(c_0_50, plain, (l5_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_45])).
cnf(c_0_51, negated_conjecture, (esk4_0=esk3_0|~l4_struct_0(esk1_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48])).
cnf(c_0_52, plain, (l4_struct_0(X1)|~l6_algstr_0(X1)), inference(spm,[status(thm)],[c_0_49, c_0_50])).
cnf(c_0_53, negated_conjecture, (k9_vectsp13(esk1_0,esk2_0,esk3_0)!=k9_vectsp13(esk1_0,esk2_0,esk4_0)|esk3_0!=esk4_0), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_54, negated_conjecture, (esk4_0=esk3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_25])])).
cnf(c_0_55, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53, c_0_54]), c_0_54])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 56
# Proof object clause steps            : 39
# Proof object formula steps           : 17
# Proof object conjectures             : 34
# Proof object clause conjectures      : 31
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 26
# Proof object initial formulas used   : 7
# Proof object generating inferences   : 12
# Proof object simplifying inferences  : 37
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 7
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 29
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 29
# Processed clauses                    : 75
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 75
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 1
# Backward-rewritten                   : 15
# Generated clauses                    : 19
# ...of the previous two non-trivial   : 21
# Contextual simplify-reflections      : 1
# Paramodulations                      : 19
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 0
# Propositional unsat checks           : 0
#    Propositional check models        : 0
#    Propositional check unsatisfiable : 0
#    Propositional clauses             : 0
#    Propositional clauses after purity: 0
#    Propositional unsat core size     : 0
#    Propositional preprocessing time  : 0.000
#    Propositional encoding time       : 0.000
#    Propositional solver time         : 0.000
#    Success case prop preproc time    : 0.000
#    Success case prop encoding time   : 0.000
#    Success case prop solver time     : 0.000
# Current number of processed clauses  : 30
#    Positive orientable unit clauses  : 14
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 14
# Current number of unprocessed clauses: 1
# ...number of literals in the above   : 14
# Current number of archived formulas  : 0
# Current number of archived clauses   : 45
# Clause-clause subsumption calls (NU) : 1636
# Rec. Clause-clause subsumption calls : 102
# Non-unit clause-clause subsumptions  : 2
# Unit Clause-clause subsumption calls : 5
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 1
# BW rewrite match successes           : 1
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 3164

# -------------------------------------------------
# User time                : 0.018 s
# System time              : 0.004 s
# Total time               : 0.022 s
# Maximum resident set size: 3576 pages
