# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S064I
# and selection function SelectComplexG.
#
# Preprocessing time       : 0.021 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(dt_l6_algstr_0, axiom, ![X1]:(l6_algstr_0(X1)=>(l2_algstr_0(X1)&l5_algstr_0(X1))), file('number15/number15__t3_number15', dt_l6_algstr_0)).
fof(dt_l5_algstr_0, axiom, ![X1]:(l5_algstr_0(X1)=>(l4_algstr_0(X1)&l4_struct_0(X1))), file('number15/number15__t3_number15', dt_l5_algstr_0)).
fof(dt_k1_complfld, axiom, (v36_algstr_0(k1_complfld)&l6_algstr_0(k1_complfld)), file('number15/number15__t3_number15', dt_k1_complfld)).
fof(t3_number15, conjecture, ![X1]:((((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))&v1_valued_0(X1))=>![X2]:(m2_finseq_1(X2,u1_struct_0(k1_complfld))=>(X1=X2=>k19_rvsum_1(X1)=k3_group_4(k1_complfld,X2)))), file('number15/number15__t3_number15', t3_number15)).
fof(d2_group_4, axiom, ![X1]:((~(v2_struct_0(X1))&l3_algstr_0(X1))=>![X2]:(m2_finseq_1(X2,u1_struct_0(X1))=>k3_group_4(X1,X2)=k1_finsop_1(u1_struct_0(X1),X2,u2_algstr_0(X1)))), file('number15/number15__t3_number15', d2_group_4)).
fof(d1_complfld, axiom, ![X1]:((v36_algstr_0(X1)&l6_algstr_0(X1))=>(X1=k1_complfld<=>((((u1_struct_0(X1)=k2_numbers&u1_algstr_0(X1)=k3_binop_2)&u2_algstr_0(X1)=k5_binop_2)&k5_struct_0(X1)=k6_complex1)&k4_struct_0(X1)=k5_complex1))), file('number15/number15__t3_number15', d1_complfld)).
fof(dt_l4_algstr_0, axiom, ![X1]:(l4_algstr_0(X1)=>(l3_struct_0(X1)&l3_algstr_0(X1))), file('number15/number15__t3_number15', dt_l4_algstr_0)).
fof(fc1_complfld, axiom, (~(v2_struct_0(k1_complfld))&v36_algstr_0(k1_complfld)), file('number15/number15__t3_number15', fc1_complfld)).
fof(d13_rvsum_1, axiom, ![X1]:((((v1_relat_1(X1)&v1_funct_1(X1))&v1_valued_0(X1))&v1_finseq_1(X1))=>![X2]:(v1_xcmplx_0(X2)=>(X2=k19_rvsum_1(X1)<=>?[X3]:((m2_finseq_1(X3,k2_numbers)&X3=X1)&X2=k1_finsop_1(k2_numbers,X3,k5_binop_2))))), file('number15/number15__t3_number15', d13_rvsum_1)).
fof(dt_k19_rvsum_1, axiom, ![X1]:((((v1_relat_1(X1)&v1_funct_1(X1))&v1_valued_0(X1))&v1_finseq_1(X1))=>v1_xcmplx_0(k19_rvsum_1(X1))), file('number15/number15__t3_number15', dt_k19_rvsum_1)).
fof(c_0_10, plain, ![X28]:((l2_algstr_0(X28)|~l6_algstr_0(X28))&(l5_algstr_0(X28)|~l6_algstr_0(X28))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l6_algstr_0])])])).
fof(c_0_11, plain, ![X27]:((l4_algstr_0(X27)|~l5_algstr_0(X27))&(l4_struct_0(X27)|~l5_algstr_0(X27))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l5_algstr_0])])])).
cnf(c_0_12, plain, (l5_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_13, plain, (l6_algstr_0(k1_complfld)), inference(split_conjunct,[status(thm)],[dt_k1_complfld])).
fof(c_0_14, negated_conjecture, ~(![X1]:((((v1_relat_1(X1)&v1_funct_1(X1))&v1_finseq_1(X1))&v1_valued_0(X1))=>![X2]:(m2_finseq_1(X2,u1_struct_0(k1_complfld))=>(X1=X2=>k19_rvsum_1(X1)=k3_group_4(k1_complfld,X2))))), inference(assume_negation,[status(cth)],[t3_number15])).
fof(c_0_15, plain, ![X1]:((~v2_struct_0(X1)&l3_algstr_0(X1))=>![X2]:(m2_finseq_1(X2,u1_struct_0(X1))=>k3_group_4(X1,X2)=k1_finsop_1(u1_struct_0(X1),X2,u2_algstr_0(X1)))), inference(fof_simplification,[status(thm)],[d2_group_4])).
fof(c_0_16, plain, ![X22]:((((((u1_struct_0(X22)=k2_numbers|X22!=k1_complfld|(~v36_algstr_0(X22)|~l6_algstr_0(X22)))&(u1_algstr_0(X22)=k3_binop_2|X22!=k1_complfld|(~v36_algstr_0(X22)|~l6_algstr_0(X22))))&(u2_algstr_0(X22)=k5_binop_2|X22!=k1_complfld|(~v36_algstr_0(X22)|~l6_algstr_0(X22))))&(k5_struct_0(X22)=k6_complex1|X22!=k1_complfld|(~v36_algstr_0(X22)|~l6_algstr_0(X22))))&(k4_struct_0(X22)=k5_complex1|X22!=k1_complfld|(~v36_algstr_0(X22)|~l6_algstr_0(X22))))&(u1_struct_0(X22)!=k2_numbers|u1_algstr_0(X22)!=k3_binop_2|u2_algstr_0(X22)!=k5_binop_2|k5_struct_0(X22)!=k6_complex1|k4_struct_0(X22)!=k5_complex1|X22=k1_complfld|(~v36_algstr_0(X22)|~l6_algstr_0(X22)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_complfld])])])).
fof(c_0_17, plain, ![X26]:((l3_struct_0(X26)|~l4_algstr_0(X26))&(l3_algstr_0(X26)|~l4_algstr_0(X26))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l4_algstr_0])])])).
cnf(c_0_18, plain, (l4_algstr_0(X1)|~l5_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_19, plain, (l5_algstr_0(k1_complfld)), inference(spm,[status(thm)],[c_0_12, c_0_13])).
fof(c_0_20, negated_conjecture, ((((v1_relat_1(esk1_0)&v1_funct_1(esk1_0))&v1_finseq_1(esk1_0))&v1_valued_0(esk1_0))&(m2_finseq_1(esk2_0,u1_struct_0(k1_complfld))&(esk1_0=esk2_0&k19_rvsum_1(esk1_0)!=k3_group_4(k1_complfld,esk2_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])).
fof(c_0_21, plain, ![X23, X24]:(v2_struct_0(X23)|~l3_algstr_0(X23)|(~m2_finseq_1(X24,u1_struct_0(X23))|k3_group_4(X23,X24)=k1_finsop_1(u1_struct_0(X23),X24,u2_algstr_0(X23)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])).
cnf(c_0_22, plain, (u1_struct_0(X1)=k2_numbers|X1!=k1_complfld|~v36_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_23, plain, (v36_algstr_0(k1_complfld)), inference(split_conjunct,[status(thm)],[dt_k1_complfld])).
cnf(c_0_24, plain, (l3_algstr_0(X1)|~l4_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_17])).
cnf(c_0_25, plain, (l4_algstr_0(k1_complfld)), inference(spm,[status(thm)],[c_0_18, c_0_19])).
fof(c_0_26, plain, (~v2_struct_0(k1_complfld)&v36_algstr_0(k1_complfld)), inference(fof_simplification,[status(thm)],[fc1_complfld])).
cnf(c_0_27, negated_conjecture, (m2_finseq_1(esk2_0,u1_struct_0(k1_complfld))), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_28, negated_conjecture, (esk1_0=esk2_0), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_29, plain, (v2_struct_0(X1)|k3_group_4(X1,X2)=k1_finsop_1(u1_struct_0(X1),X2,u2_algstr_0(X1))|~l3_algstr_0(X1)|~m2_finseq_1(X2,u1_struct_0(X1))), inference(split_conjunct,[status(thm)],[c_0_21])).
cnf(c_0_30, plain, (u1_struct_0(k1_complfld)=k2_numbers), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_22]), c_0_13]), c_0_23])])).
cnf(c_0_31, plain, (l3_algstr_0(k1_complfld)), inference(spm,[status(thm)],[c_0_24, c_0_25])).
cnf(c_0_32, plain, (~v2_struct_0(k1_complfld)), inference(split_conjunct,[status(thm)],[c_0_26])).
cnf(c_0_33, negated_conjecture, (m2_finseq_1(esk1_0,u1_struct_0(k1_complfld))), inference(rw,[status(thm)],[c_0_27, c_0_28])).
fof(c_0_34, plain, ![X18, X19, X21]:((((m2_finseq_1(esk3_2(X18,X19),k2_numbers)|X19!=k19_rvsum_1(X18)|~v1_xcmplx_0(X19)|(~v1_relat_1(X18)|~v1_funct_1(X18)|~v1_valued_0(X18)|~v1_finseq_1(X18)))&(esk3_2(X18,X19)=X18|X19!=k19_rvsum_1(X18)|~v1_xcmplx_0(X19)|(~v1_relat_1(X18)|~v1_funct_1(X18)|~v1_valued_0(X18)|~v1_finseq_1(X18))))&(X19=k1_finsop_1(k2_numbers,esk3_2(X18,X19),k5_binop_2)|X19!=k19_rvsum_1(X18)|~v1_xcmplx_0(X19)|(~v1_relat_1(X18)|~v1_funct_1(X18)|~v1_valued_0(X18)|~v1_finseq_1(X18))))&(~m2_finseq_1(X21,k2_numbers)|X21!=X18|X19!=k1_finsop_1(k2_numbers,X21,k5_binop_2)|X19=k19_rvsum_1(X18)|~v1_xcmplx_0(X19)|(~v1_relat_1(X18)|~v1_funct_1(X18)|~v1_valued_0(X18)|~v1_finseq_1(X18)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d13_rvsum_1])])])])])).
fof(c_0_35, plain, ![X25]:(~v1_relat_1(X25)|~v1_funct_1(X25)|~v1_valued_0(X25)|~v1_finseq_1(X25)|v1_xcmplx_0(k19_rvsum_1(X25))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k19_rvsum_1])])).
cnf(c_0_36, plain, (k1_finsop_1(k2_numbers,X1,u2_algstr_0(k1_complfld))=k3_group_4(k1_complfld,X1)|~m2_finseq_1(X1,k2_numbers)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31])]), c_0_32])).
cnf(c_0_37, negated_conjecture, (m2_finseq_1(esk1_0,k2_numbers)), inference(rw,[status(thm)],[c_0_33, c_0_30])).
cnf(c_0_38, plain, (u2_algstr_0(X1)=k5_binop_2|X1!=k1_complfld|~v36_algstr_0(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_39, plain, (esk3_2(X1,X2)=X1|X2!=k19_rvsum_1(X1)|~v1_xcmplx_0(X2)|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_40, plain, (v1_xcmplx_0(k19_rvsum_1(X1))|~v1_relat_1(X1)|~v1_funct_1(X1)|~v1_valued_0(X1)|~v1_finseq_1(X1)), inference(split_conjunct,[status(thm)],[c_0_35])).
cnf(c_0_41, negated_conjecture, (k19_rvsum_1(esk1_0)!=k3_group_4(k1_complfld,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_42, negated_conjecture, (k1_finsop_1(k2_numbers,esk1_0,u2_algstr_0(k1_complfld))=k3_group_4(k1_complfld,esk1_0)), inference(spm,[status(thm)],[c_0_36, c_0_37])).
cnf(c_0_43, plain, (u2_algstr_0(k1_complfld)=k5_binop_2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_38]), c_0_13]), c_0_23])])).
cnf(c_0_44, plain, (X1=k1_finsop_1(k2_numbers,esk3_2(X2,X1),k5_binop_2)|X1!=k19_rvsum_1(X2)|~v1_xcmplx_0(X1)|~v1_relat_1(X2)|~v1_funct_1(X2)|~v1_valued_0(X2)|~v1_finseq_1(X2)), inference(split_conjunct,[status(thm)],[c_0_34])).
cnf(c_0_45, plain, (esk3_2(X1,k19_rvsum_1(X1))=X1|~v1_valued_0(X1)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_39]), c_0_40])).
cnf(c_0_46, negated_conjecture, (v1_valued_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_47, negated_conjecture, (v1_finseq_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_48, negated_conjecture, (v1_funct_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_49, negated_conjecture, (v1_relat_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_20])).
cnf(c_0_50, negated_conjecture, (k3_group_4(k1_complfld,esk1_0)!=k19_rvsum_1(esk1_0)), inference(rw,[status(thm)],[c_0_41, c_0_28])).
cnf(c_0_51, negated_conjecture, (k3_group_4(k1_complfld,esk1_0)=k1_finsop_1(k2_numbers,esk1_0,k5_binop_2)), inference(rw,[status(thm)],[c_0_42, c_0_43])).
cnf(c_0_52, plain, (k1_finsop_1(k2_numbers,esk3_2(X1,k19_rvsum_1(X1)),k5_binop_2)=k19_rvsum_1(X1)|~v1_valued_0(X1)|~v1_finseq_1(X1)|~v1_funct_1(X1)|~v1_relat_1(X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_44]), c_0_40])).
cnf(c_0_53, negated_conjecture, (esk3_2(esk1_0,k19_rvsum_1(esk1_0))=esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_47]), c_0_48]), c_0_49])])).
cnf(c_0_54, negated_conjecture, (k1_finsop_1(k2_numbers,esk1_0,k5_binop_2)!=k19_rvsum_1(esk1_0)), inference(rw,[status(thm)],[c_0_50, c_0_51])).
cnf(c_0_55, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_46]), c_0_53]), c_0_47]), c_0_48]), c_0_49])]), c_0_54]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 56
# Proof object clause steps            : 35
# Proof object formula steps           : 21
# Proof object conjectures             : 18
# Proof object clause conjectures      : 15
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 19
# Proof object initial formulas used   : 10
# Proof object generating inferences   : 7
# Proof object simplifying inferences  : 30
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 10
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 29
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 29
# Processed clauses                    : 80
# ...of these trivial                  : 1
# ...subsumed                          : 0
# ...remaining for further processing  : 79
# Other redundant clauses eliminated   : 10
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 4
# Generated clauses                    : 22
# ...of the previous two non-trivial   : 23
# Contextual simplify-reflections      : 3
# Paramodulations                      : 13
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 10
# Propositional unsat checks           : 0
#    Propositional check models        : 0
#    Propositional check unsatisfiable : 0
#    Propositional clauses             : 0
#    Propositional clauses after purity: 0
#    Propositional unsat core size     : 0
#    Propositional preprocessing time  : 0.000
#    Propositional encoding time       : 0.000
#    Propositional solver time         : 0.000
#    Success case prop preproc time    : 0.000
#    Success case prop encoding time   : 0.000
#    Success case prop solver time     : 0.000
# Current number of processed clauses  : 38
#    Positive orientable unit clauses  : 22
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 14
# Current number of unprocessed clauses: 0
# ...number of literals in the above   : 0
# Current number of archived formulas  : 0
# Current number of archived clauses   : 32
# Clause-clause subsumption calls (NU) : 220
# Rec. Clause-clause subsumption calls : 25
# Non-unit clause-clause subsumptions  : 3
# Unit Clause-clause subsumption calls : 3
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 3
# BW rewrite match successes           : 3
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 2360

# -------------------------------------------------
# User time                : 0.021 s
# System time              : 0.004 s
# Total time               : 0.026 s
# Maximum resident set size: 3608 pages
