# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___207_C01_F1_AE_CS_SP_PI_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.021 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t58_field_16, conjecture, ![X1]:(((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v8_struct_0(X1))&v13_algstr_0(X1))&v33_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))&v5_group_1(X1))&l6_algstr_0(X1))=>?[X2]:((v7_ordinal1(X2)&v1_int_2(X2))&?[X3]:(((v7_ordinal1(X3)&~(v8_ordinal1(X3)))&k3_ring_3(X1)=X2)&k7_struct_0(X1)=k1_newton(X2,X3)))), file('field_16/field_16__t58_field_16', t58_field_16)).
fof(l61_field_16, axiom, ![X1]:(((((((((((((~(v2_struct_0(X1))&~(v6_struct_0(X1)))&v8_struct_0(X1))&v13_algstr_0(X1))&v33_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))&v5_group_1(X1))&l6_algstr_0(X1))=>?[X2]:((v7_ordinal1(X2)&v1_int_2(X2))&?[X3]:(((v7_ordinal1(X3)&~(v8_ordinal1(X3)))&k3_ring_3(X1)=X2)&k7_struct_0(X1)=k1_newton(X2,X3)))), file('field_16/field_16__t58_field_16', l61_field_16)).
fof(c_0_2, negated_conjecture, ~(![X1]:(((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v8_struct_0(X1))&v13_algstr_0(X1))&v33_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))&v5_group_1(X1))&l6_algstr_0(X1))=>?[X2]:((v7_ordinal1(X2)&v1_int_2(X2))&?[X3]:(((v7_ordinal1(X3)&~v8_ordinal1(X3))&k3_ring_3(X1)=X2)&k7_struct_0(X1)=k1_newton(X2,X3))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t58_field_16])])).
fof(c_0_3, plain, ![X1]:(((((((((((((~v2_struct_0(X1)&~v6_struct_0(X1))&v8_struct_0(X1))&v13_algstr_0(X1))&v33_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))&v5_group_1(X1))&l6_algstr_0(X1))=>?[X2]:((v7_ordinal1(X2)&v1_int_2(X2))&?[X3]:(((v7_ordinal1(X3)&~v8_ordinal1(X3))&k3_ring_3(X1)=X2)&k7_struct_0(X1)=k1_newton(X2,X3)))), inference(fof_simplification,[status(thm)],[l61_field_16])).
fof(c_0_4, negated_conjecture, ![X12, X13]:(((((((((((((~v2_struct_0(esk1_0)&~v6_struct_0(esk1_0))&v8_struct_0(esk1_0))&v13_algstr_0(esk1_0))&v33_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))&v5_group_1(esk1_0))&l6_algstr_0(esk1_0))&(~v7_ordinal1(X12)|~v1_int_2(X12)|(~v7_ordinal1(X13)|v8_ordinal1(X13)|k3_ring_3(esk1_0)!=X12|k7_struct_0(esk1_0)!=k1_newton(X12,X13)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])).
fof(c_0_5, plain, ![X15]:(((v7_ordinal1(esk2_1(X15))|(v2_struct_0(X15)|v6_struct_0(X15)|~v8_struct_0(X15)|~v13_algstr_0(X15)|~v33_algstr_0(X15)|~v2_rlvect_1(X15)|~v3_rlvect_1(X15)|~v4_rlvect_1(X15)|~v4_vectsp_1(X15)|~v5_vectsp_1(X15)|~v3_group_1(X15)|~v5_group_1(X15)|~l6_algstr_0(X15)))&(v1_int_2(esk2_1(X15))|(v2_struct_0(X15)|v6_struct_0(X15)|~v8_struct_0(X15)|~v13_algstr_0(X15)|~v33_algstr_0(X15)|~v2_rlvect_1(X15)|~v3_rlvect_1(X15)|~v4_rlvect_1(X15)|~v4_vectsp_1(X15)|~v5_vectsp_1(X15)|~v3_group_1(X15)|~v5_group_1(X15)|~l6_algstr_0(X15))))&((((v7_ordinal1(esk3_1(X15))|(v2_struct_0(X15)|v6_struct_0(X15)|~v8_struct_0(X15)|~v13_algstr_0(X15)|~v33_algstr_0(X15)|~v2_rlvect_1(X15)|~v3_rlvect_1(X15)|~v4_rlvect_1(X15)|~v4_vectsp_1(X15)|~v5_vectsp_1(X15)|~v3_group_1(X15)|~v5_group_1(X15)|~l6_algstr_0(X15)))&(~v8_ordinal1(esk3_1(X15))|(v2_struct_0(X15)|v6_struct_0(X15)|~v8_struct_0(X15)|~v13_algstr_0(X15)|~v33_algstr_0(X15)|~v2_rlvect_1(X15)|~v3_rlvect_1(X15)|~v4_rlvect_1(X15)|~v4_vectsp_1(X15)|~v5_vectsp_1(X15)|~v3_group_1(X15)|~v5_group_1(X15)|~l6_algstr_0(X15))))&(k3_ring_3(X15)=esk2_1(X15)|(v2_struct_0(X15)|v6_struct_0(X15)|~v8_struct_0(X15)|~v13_algstr_0(X15)|~v33_algstr_0(X15)|~v2_rlvect_1(X15)|~v3_rlvect_1(X15)|~v4_rlvect_1(X15)|~v4_vectsp_1(X15)|~v5_vectsp_1(X15)|~v3_group_1(X15)|~v5_group_1(X15)|~l6_algstr_0(X15))))&(k7_struct_0(X15)=k1_newton(esk2_1(X15),esk3_1(X15))|(v2_struct_0(X15)|v6_struct_0(X15)|~v8_struct_0(X15)|~v13_algstr_0(X15)|~v33_algstr_0(X15)|~v2_rlvect_1(X15)|~v3_rlvect_1(X15)|~v4_rlvect_1(X15)|~v4_vectsp_1(X15)|~v5_vectsp_1(X15)|~v3_group_1(X15)|~v5_group_1(X15)|~l6_algstr_0(X15))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])).
cnf(c_0_6, negated_conjecture, (~v2_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_7, plain, (k3_ring_3(X1)=esk2_1(X1)|v2_struct_0(X1)|v6_struct_0(X1)|~v8_struct_0(X1)|~v13_algstr_0(X1)|~v33_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)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_8, negated_conjecture, (l6_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_9, negated_conjecture, (v5_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_10, negated_conjecture, (v3_group_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_11, negated_conjecture, (v5_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_12, negated_conjecture, (v4_vectsp_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_13, negated_conjecture, (v4_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_14, negated_conjecture, (v3_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_15, negated_conjecture, (v2_rlvect_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_16, negated_conjecture, (v33_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_17, negated_conjecture, (v13_algstr_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_18, negated_conjecture, (v8_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_19, negated_conjecture, (~v6_struct_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_20, negated_conjecture, (v8_ordinal1(X2)|~v7_ordinal1(X1)|~v1_int_2(X1)|~v7_ordinal1(X2)|k3_ring_3(esk1_0)!=X1|k7_struct_0(esk1_0)!=k1_newton(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_21, negated_conjecture, (k3_ring_3(esk1_0)=esk2_1(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_6, c_0_7]), c_0_8]), c_0_9]), c_0_10]), c_0_11]), c_0_12]), c_0_13]), c_0_14]), c_0_15]), c_0_16]), c_0_17]), c_0_18])]), c_0_19])).
cnf(c_0_22, negated_conjecture, (v8_ordinal1(X1)|k1_newton(X2,X1)!=k7_struct_0(esk1_0)|esk2_1(esk1_0)!=X2|~v1_int_2(X2)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(rw,[status(thm)],[c_0_20, c_0_21])).
cnf(c_0_23, plain, (k7_struct_0(X1)=k1_newton(esk2_1(X1),esk3_1(X1))|v2_struct_0(X1)|v6_struct_0(X1)|~v8_struct_0(X1)|~v13_algstr_0(X1)|~v33_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)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_24, plain, (v7_ordinal1(esk2_1(X1))|v2_struct_0(X1)|v6_struct_0(X1)|~v8_struct_0(X1)|~v13_algstr_0(X1)|~v33_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)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_25, plain, (v7_ordinal1(esk3_1(X1))|v2_struct_0(X1)|v6_struct_0(X1)|~v8_struct_0(X1)|~v13_algstr_0(X1)|~v33_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)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_26, plain, (v1_int_2(esk2_1(X1))|v2_struct_0(X1)|v6_struct_0(X1)|~v8_struct_0(X1)|~v13_algstr_0(X1)|~v33_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)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_27, plain, (v2_struct_0(X1)|v6_struct_0(X1)|~v8_ordinal1(esk3_1(X1))|~v8_struct_0(X1)|~v13_algstr_0(X1)|~v33_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)|~v5_group_1(X1)|~l6_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_28, negated_conjecture, (v6_struct_0(X1)|v2_struct_0(X1)|k7_struct_0(X1)!=k7_struct_0(esk1_0)|esk2_1(esk1_0)!=esk2_1(X1)|~l6_algstr_0(X1)|~v5_group_1(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)|~v33_algstr_0(X1)|~v13_algstr_0(X1)|~v8_struct_0(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24]), c_0_25]), c_0_26]), c_0_27])).
cnf(c_0_29, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6, c_0_28]), c_0_8]), c_0_9]), c_0_10]), c_0_11]), c_0_12]), c_0_13]), c_0_14]), c_0_15]), c_0_16]), c_0_17]), c_0_18])]), c_0_19]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 30
# Proof object clause steps            : 24
# Proof object formula steps           : 6
# Proof object conjectures             : 21
# Proof object clause conjectures      : 18
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 20
# Proof object initial formulas used   : 2
# Proof object generating inferences   : 3
# Proof object simplifying inferences  : 31
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 3
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 22
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 22
# Processed clauses                    : 27
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 27
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 1
# Generated clauses                    : 6
# ...of the previous two non-trivial   : 6
# Contextual simplify-reflections      : 4
# Paramodulations                      : 6
# 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  : 26
#    Positive orientable unit clauses  : 14
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 10
# Current number of unprocessed clauses: 0
# ...number of literals in the above   : 0
# Current number of archived formulas  : 0
# Current number of archived clauses   : 1
# Clause-clause subsumption calls (NU) : 96
# Rec. Clause-clause subsumption calls : 4
# Non-unit clause-clause subsumptions  : 4
# Unit Clause-clause subsumption calls : 1
# 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          : 2716

# -------------------------------------------------
# User time                : 0.025 s
# System time              : 0.000 s
# Total time               : 0.025 s
# Maximum resident set size: 2856 pages
