# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___008_C45_F1_PI_SE_Q4_CS_SP_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.023 s

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(l13_field_16, conjecture, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>(r1_xxreal_0(X2,X1)=>r1_xxreal_0(k1_newton(X2,X3),k1_newton(X1,X3)))))), file('field_16/field_16__l13_field_16', l13_field_16)).
fof(t41_newton02, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:((v1_xreal_0(X2)&~(v3_xxreal_0(X2)))=>![X3]:((v1_xreal_0(X3)&~(v3_xxreal_0(X3)))=>(r1_xxreal_0(X3,X2)=>r1_xxreal_0(k1_newton(X3,X1),k1_newton(X2,X1)))))), file('field_16/field_16__l13_field_16', t41_newton02)).
fof(cc2_nat_1, axiom, ![X1]:(v7_ordinal1(X1)=>(v7_ordinal1(X1)&~(v3_xxreal_0(X1)))), file('field_16/field_16__l13_field_16', cc2_nat_1)).
fof(cc2_xreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xreal_0(X1)), file('field_16/field_16__l13_field_16', cc2_xreal_0)).
fof(c_0_4, negated_conjecture, ~(![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>![X3]:(v7_ordinal1(X3)=>(r1_xxreal_0(X2,X1)=>r1_xxreal_0(k1_newton(X2,X3),k1_newton(X1,X3))))))), inference(assume_negation,[status(cth)],[l13_field_16])).
fof(c_0_5, plain, ![X1]:(v7_ordinal1(X1)=>![X2]:((v1_xreal_0(X2)&~v3_xxreal_0(X2))=>![X3]:((v1_xreal_0(X3)&~v3_xxreal_0(X3))=>(r1_xxreal_0(X3,X2)=>r1_xxreal_0(k1_newton(X3,X1),k1_newton(X2,X1)))))), inference(fof_simplification,[status(thm)],[t41_newton02])).
fof(c_0_6, plain, ![X1]:(v7_ordinal1(X1)=>(v7_ordinal1(X1)&~v3_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc2_nat_1])).
fof(c_0_7, negated_conjecture, (v7_ordinal1(esk1_0)&(v7_ordinal1(esk2_0)&(v7_ordinal1(esk3_0)&(r1_xxreal_0(esk2_0,esk1_0)&~r1_xxreal_0(k1_newton(esk2_0,esk3_0),k1_newton(esk1_0,esk3_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])).
fof(c_0_8, plain, ![X17, X18, X19]:(~v7_ordinal1(X17)|(~v1_xreal_0(X18)|v3_xxreal_0(X18)|(~v1_xreal_0(X19)|v3_xxreal_0(X19)|(~r1_xxreal_0(X19,X18)|r1_xxreal_0(k1_newton(X19,X17),k1_newton(X18,X17)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])).
fof(c_0_9, plain, ![X15]:((v7_ordinal1(X15)|~v7_ordinal1(X15))&(~v3_xxreal_0(X15)|~v7_ordinal1(X15))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])).
cnf(c_0_10, negated_conjecture, (~r1_xxreal_0(k1_newton(esk2_0,esk3_0),k1_newton(esk1_0,esk3_0))), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_11, plain, (v3_xxreal_0(X2)|v3_xxreal_0(X3)|r1_xxreal_0(k1_newton(X3,X1),k1_newton(X2,X1))|~v7_ordinal1(X1)|~v1_xreal_0(X2)|~v1_xreal_0(X3)|~r1_xxreal_0(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_8])).
cnf(c_0_12, negated_conjecture, (r1_xxreal_0(esk2_0,esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_13, negated_conjecture, (v7_ordinal1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_14, plain, (~v3_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_9])).
cnf(c_0_15, negated_conjecture, (v3_xxreal_0(esk2_0)|v3_xxreal_0(esk1_0)|~v1_xreal_0(esk2_0)|~v1_xreal_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11]), c_0_12]), c_0_13])])).
cnf(c_0_16, negated_conjecture, (v7_ordinal1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_17, negated_conjecture, (v3_xxreal_0(esk2_0)|~v1_xreal_0(esk2_0)|~v1_xreal_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_16])])).
cnf(c_0_18, negated_conjecture, (v7_ordinal1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_7])).
fof(c_0_19, plain, ![X16]:(~v7_ordinal1(X16)|v1_xreal_0(X16)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xreal_0])])).
cnf(c_0_20, negated_conjecture, (~v1_xreal_0(esk2_0)|~v1_xreal_0(esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_17]), c_0_18])])).
cnf(c_0_21, plain, (v1_xreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_19])).
cnf(c_0_22, negated_conjecture, (~v1_xreal_0(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_16])])).
cnf(c_0_23, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_21]), c_0_18])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 24
# Proof object clause steps            : 13
# Proof object formula steps           : 11
# Proof object conjectures             : 13
# Proof object clause conjectures      : 10
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 8
# Proof object initial formulas used   : 4
# Proof object generating inferences   : 5
# Proof object simplifying inferences  : 11
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 4
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 9
# Removed in clause preprocessing      : 1
# Initial clauses in saturation        : 8
# Processed clauses                    : 12
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 12
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 0
# Generated clauses                    : 5
# ...of the previous two non-trivial   : 4
# Contextual simplify-reflections      : 0
# Paramodulations                      : 5
# 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  : 10
#    Positive orientable unit clauses  : 4
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 2
#    Non-unit-clauses                  : 4
# Current number of unprocessed clauses: 0
# ...number of literals in the above   : 0
# Current number of archived formulas  : 0
# Current number of archived clauses   : 2
# Clause-clause subsumption calls (NU) : 13
# Rec. Clause-clause subsumption calls : 7
# Non-unit clause-clause subsumptions  : 2
# Unit Clause-clause subsumption calls : 2
# Rewrite failures with RHS unbound    : 0
# BW rewrite match attempts            : 0
# BW rewrite match successes           : 0
# Condensation attempts                : 0
# Condensation successes               : 0
# Termbank termtop insertions          : 670

# -------------------------------------------------
# User time                : 0.024 s
# System time              : 0.002 s
# Total time               : 0.026 s
# Maximum resident set size: 3008 pages
