# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S04CN
# and selection function MSelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.019 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t70_newton07, conjecture, ![X1]:(v1_xcmplx_0(X1)=>![X2]:(v1_xcmplx_0(X2)=>![X3]:(v7_ordinal1(X3)=>![X4]:(v7_ordinal1(X4)=>~((r2_hidden(X4,k2_finseq_1(k1_nat_1(X3,np__1)))&![X5, X6]:(v7_ordinal1(X6)=>![X7]:(v7_ordinal1(X7)=>~(((X7=k6_xcmplx_0(X4,np__1)&X6=k6_xcmplx_0(X3,X7))&X5=k3_xcmplx_0(k1_newton(X1,X6),k1_newton(X2,X7)))))))))))), file('newton07/newton07__t70_newton07', t70_newton07)).
fof(t69_newton07, axiom, ![X1]:(v7_ordinal1(X1)=>![X2]:(v7_ordinal1(X2)=>~((r2_hidden(X2,k2_finseq_1(k1_nat_1(X1,np__1)))&![X3]:(v7_ordinal1(X3)=>![X4]:(v7_ordinal1(X4)=>~((X3=k6_xcmplx_0(X2,np__1)&X4=k6_xcmplx_0(X1,X3))))))))), file('newton07/newton07__t70_newton07', t69_newton07)).
fof(c_0_2, negated_conjecture, ~(![X1]:(v1_xcmplx_0(X1)=>![X2]:(v1_xcmplx_0(X2)=>![X3]:(v7_ordinal1(X3)=>![X4]:(v7_ordinal1(X4)=>~((r2_hidden(X4,k2_finseq_1(k1_nat_1(X3,np__1)))&![X5, X6]:(v7_ordinal1(X6)=>![X7]:(v7_ordinal1(X7)=>~(((X7=k6_xcmplx_0(X4,np__1)&X6=k6_xcmplx_0(X3,X7))&X5=k3_xcmplx_0(k1_newton(X1,X6),k1_newton(X2,X7))))))))))))), inference(assume_negation,[status(cth)],[t70_newton07])).
fof(c_0_3, negated_conjecture, ![X23, X24, X25]:(v1_xcmplx_0(esk1_0)&(v1_xcmplx_0(esk2_0)&(v7_ordinal1(esk3_0)&(v7_ordinal1(esk4_0)&(r2_hidden(esk4_0,k2_finseq_1(k1_nat_1(esk3_0,np__1)))&(~v7_ordinal1(X24)|(~v7_ordinal1(X25)|(X25!=k6_xcmplx_0(esk4_0,np__1)|X24!=k6_xcmplx_0(esk3_0,X25)|X23!=k3_xcmplx_0(k1_newton(esk1_0,X24),k1_newton(esk2_0,X25)))))))))), 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_4, plain, ![X26, X27]:((v7_ordinal1(esk5_2(X26,X27))|~r2_hidden(X27,k2_finseq_1(k1_nat_1(X26,np__1)))|~v7_ordinal1(X27)|~v7_ordinal1(X26))&((v7_ordinal1(esk6_2(X26,X27))|~r2_hidden(X27,k2_finseq_1(k1_nat_1(X26,np__1)))|~v7_ordinal1(X27)|~v7_ordinal1(X26))&((esk5_2(X26,X27)=k6_xcmplx_0(X27,np__1)|~r2_hidden(X27,k2_finseq_1(k1_nat_1(X26,np__1)))|~v7_ordinal1(X27)|~v7_ordinal1(X26))&(esk6_2(X26,X27)=k6_xcmplx_0(X26,esk5_2(X26,X27))|~r2_hidden(X27,k2_finseq_1(k1_nat_1(X26,np__1)))|~v7_ordinal1(X27)|~v7_ordinal1(X26))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t69_newton07])])])])])).
cnf(c_0_5, negated_conjecture, (~v7_ordinal1(X1)|~v7_ordinal1(X2)|X2!=k6_xcmplx_0(esk4_0,np__1)|X1!=k6_xcmplx_0(esk3_0,X2)|X3!=k3_xcmplx_0(k1_newton(esk1_0,X1),k1_newton(esk2_0,X2))), inference(split_conjunct,[status(thm)],[c_0_3])).
cnf(c_0_6, plain, (v7_ordinal1(esk5_2(X1,X2))|~r2_hidden(X2,k2_finseq_1(k1_nat_1(X1,np__1)))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_7, plain, (esk5_2(X1,X2)=k6_xcmplx_0(X2,np__1)|~r2_hidden(X2,k2_finseq_1(k1_nat_1(X1,np__1)))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_8, negated_conjecture, (X1!=k6_xcmplx_0(esk4_0,np__1)|X2!=k6_xcmplx_0(esk3_0,X1)|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(er,[status(thm)],[c_0_5])).
cnf(c_0_9, plain, (v7_ordinal1(k6_xcmplx_0(X1,np__1))|~r2_hidden(X1,k2_finseq_1(k1_nat_1(X2,np__1)))|~v7_ordinal1(X1)|~v7_ordinal1(X2)), inference(spm,[status(thm)],[c_0_6, c_0_7])).
cnf(c_0_10, negated_conjecture, (r2_hidden(esk4_0,k2_finseq_1(k1_nat_1(esk3_0,np__1)))), inference(split_conjunct,[status(thm)],[c_0_3])).
cnf(c_0_11, negated_conjecture, (v7_ordinal1(esk4_0)), inference(split_conjunct,[status(thm)],[c_0_3])).
cnf(c_0_12, negated_conjecture, (v7_ordinal1(esk3_0)), inference(split_conjunct,[status(thm)],[c_0_3])).
cnf(c_0_13, plain, (v7_ordinal1(esk6_2(X1,X2))|~r2_hidden(X2,k2_finseq_1(k1_nat_1(X1,np__1)))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_14, plain, (esk6_2(X1,X2)=k6_xcmplx_0(X1,esk5_2(X1,X2))|~r2_hidden(X2,k2_finseq_1(k1_nat_1(X1,np__1)))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_4])).
cnf(c_0_15, negated_conjecture, (X1!=k6_xcmplx_0(esk3_0,k6_xcmplx_0(esk4_0,np__1))|~v7_ordinal1(k6_xcmplx_0(esk4_0,np__1))|~v7_ordinal1(X1)), inference(er,[status(thm)],[c_0_8])).
cnf(c_0_16, negated_conjecture, (v7_ordinal1(k6_xcmplx_0(esk4_0,np__1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11]), c_0_12])])).
cnf(c_0_17, plain, (v7_ordinal1(k6_xcmplx_0(X1,esk5_2(X1,X2)))|~r2_hidden(X2,k2_finseq_1(k1_nat_1(X1,np__1)))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_13, c_0_14])).
cnf(c_0_18, negated_conjecture, (X1!=k6_xcmplx_0(esk3_0,k6_xcmplx_0(esk4_0,np__1))|~v7_ordinal1(X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])).
cnf(c_0_19, plain, (v7_ordinal1(k6_xcmplx_0(X1,k6_xcmplx_0(X2,np__1)))|~r2_hidden(X2,k2_finseq_1(k1_nat_1(X1,np__1)))|~v7_ordinal1(X2)|~v7_ordinal1(X1)), inference(spm,[status(thm)],[c_0_17, c_0_7])).
cnf(c_0_20, negated_conjecture, (~v7_ordinal1(k6_xcmplx_0(esk3_0,k6_xcmplx_0(esk4_0,np__1)))), inference(er,[status(thm)],[c_0_18])).
cnf(c_0_21, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_10]), c_0_11]), c_0_12])]), c_0_20]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 22
# Proof object clause steps            : 17
# Proof object formula steps           : 5
# 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   : 2
# Proof object generating inferences   : 8
# Proof object simplifying inferences  : 9
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 2
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 10
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 10
# Processed clauses                    : 29
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 28
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 1
# Backward-rewritten                   : 1
# Generated clauses                    : 8
# ...of the previous two non-trivial   : 9
# Contextual simplify-reflections      : 0
# Paramodulations                      : 5
# Factorizations                       : 0
# NegExts                              : 0
# Equation resolutions                 : 3
# 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  : 16
#    Positive orientable unit clauses  : 6
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 9
# Current number of unprocessed clauses: 0
# ...number of literals in the above   : 0
# Current number of archived formulas  : 0
# Current number of archived clauses   : 12
# Clause-clause subsumption calls (NU) : 8
# Rec. Clause-clause subsumption calls : 1
# Non-unit clause-clause subsumptions  : 1
# Unit Clause-clause subsumption calls : 2
# 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          : 1274

# -------------------------------------------------
# User time                : 0.021 s
# System time              : 0.002 s
# Total time               : 0.023 s
# Maximum resident set size: 2932 pages
