# 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       : 0.016 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t3_newton06, conjecture, ![X1]:((v1_xreal_0(X1)&v2_xxreal_0(X1))=>![X2]:((v1_xreal_0(X2)&v2_xxreal_0(X2))=>r1_xxreal_0(k3_xcmplx_0(k1_int_1(X1),k1_int_1(X2)),k1_int_1(k3_xcmplx_0(X1,X2))))), file('newton06/newton06__t3_newton06', t3_newton06)).
fof(t2_xxreal_0, axiom, ![X1]:(v1_xxreal_0(X1)=>![X2]:(v1_xxreal_0(X2)=>![X3]:(v1_xxreal_0(X3)=>((r1_xxreal_0(X1,X2)&r1_xxreal_0(X2,X3))=>r1_xxreal_0(X1,X3))))), file('newton06/newton06__t3_newton06', t2_xxreal_0)).
fof(t2_newton06, axiom, ![X1]:((v1_xreal_0(X1)&v2_xxreal_0(X1))=>![X2]:((v1_xreal_0(X2)&v2_xxreal_0(X2))=>(r1_xxreal_0(k3_xcmplx_0(k1_int_1(X1),k1_int_1(X2)),k3_xcmplx_0(k1_int_1(X1),X2))&r1_xxreal_0(k3_xcmplx_0(k1_int_1(X1),X2),k3_xcmplx_0(X1,X2))))), file('newton06/newton06__t3_newton06', t2_newton06)).
fof(t54_int_1, axiom, ![X1]:(v1_int_1(X1)=>![X2]:(v1_xreal_0(X2)=>(r1_xxreal_0(X1,X2)=>r1_xxreal_0(X1,k1_int_1(X2))))), file('newton06/newton06__t3_newton06', t54_int_1)).
fof(cc4_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xxreal_0(X1)), file('newton06/newton06__t3_newton06', cc4_xreal_0)).
fof(cc3_int_1, axiom, ![X1]:(v1_int_1(X1)=>v1_xreal_0(X1)), file('newton06/newton06__t3_newton06', cc3_int_1)).
fof(fc2_int_1, axiom, ![X1, X2]:((v1_int_1(X1)&v1_int_1(X2))=>v1_int_1(k3_xcmplx_0(X1,X2))), file('newton06/newton06__t3_newton06', fc2_int_1)).
fof(fc6_xreal_0, axiom, ![X1, X2]:((v1_xreal_0(X1)&v1_xreal_0(X2))=>v1_xreal_0(k3_xcmplx_0(X1,X2))), file('newton06/newton06__t3_newton06', fc6_xreal_0)).
fof(dt_k1_int_1, axiom, ![X1]:(v1_xreal_0(X1)=>v1_int_1(k1_int_1(X1))), file('newton06/newton06__t3_newton06', dt_k1_int_1)).
fof(c_0_9, negated_conjecture, ~(![X1]:((v1_xreal_0(X1)&v2_xxreal_0(X1))=>![X2]:((v1_xreal_0(X2)&v2_xxreal_0(X2))=>r1_xxreal_0(k3_xcmplx_0(k1_int_1(X1),k1_int_1(X2)),k1_int_1(k3_xcmplx_0(X1,X2)))))), inference(assume_negation,[status(cth)],[t3_newton06])).
fof(c_0_10, plain, ![X31, X32, X33]:(~v1_xxreal_0(X31)|(~v1_xxreal_0(X32)|(~v1_xxreal_0(X33)|(~r1_xxreal_0(X31,X32)|~r1_xxreal_0(X32,X33)|r1_xxreal_0(X31,X33))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_xxreal_0])])])).
fof(c_0_11, plain, ![X29, X30]:((r1_xxreal_0(k3_xcmplx_0(k1_int_1(X29),k1_int_1(X30)),k3_xcmplx_0(k1_int_1(X29),X30))|(~v1_xreal_0(X30)|~v2_xxreal_0(X30))|(~v1_xreal_0(X29)|~v2_xxreal_0(X29)))&(r1_xxreal_0(k3_xcmplx_0(k1_int_1(X29),X30),k3_xcmplx_0(X29,X30))|(~v1_xreal_0(X30)|~v2_xxreal_0(X30))|(~v1_xreal_0(X29)|~v2_xxreal_0(X29)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_newton06])])])])).
fof(c_0_12, negated_conjecture, ((v1_xreal_0(esk1_0)&v2_xxreal_0(esk1_0))&((v1_xreal_0(esk2_0)&v2_xxreal_0(esk2_0))&~r1_xxreal_0(k3_xcmplx_0(k1_int_1(esk1_0),k1_int_1(esk2_0)),k1_int_1(k3_xcmplx_0(esk1_0,esk2_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
fof(c_0_13, plain, ![X34, X35]:(~v1_int_1(X34)|(~v1_xreal_0(X35)|(~r1_xxreal_0(X34,X35)|r1_xxreal_0(X34,k1_int_1(X35))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t54_int_1])])])).
cnf(c_0_14, plain, (r1_xxreal_0(X1,X3)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)|~v1_xxreal_0(X3)|~r1_xxreal_0(X1,X2)|~r1_xxreal_0(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_10])).
cnf(c_0_15, plain, (r1_xxreal_0(k3_xcmplx_0(k1_int_1(X1),X2),k3_xcmplx_0(X1,X2))|~v1_xreal_0(X2)|~v2_xxreal_0(X2)|~v1_xreal_0(X1)|~v2_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
cnf(c_0_16, negated_conjecture, (~r1_xxreal_0(k3_xcmplx_0(k1_int_1(esk1_0),k1_int_1(esk2_0)),k1_int_1(k3_xcmplx_0(esk1_0,esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_17, plain, (r1_xxreal_0(X1,k1_int_1(X2))|~v1_int_1(X1)|~v1_xreal_0(X2)|~r1_xxreal_0(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_18, plain, (r1_xxreal_0(X1,k3_xcmplx_0(X2,X3))|~v1_xxreal_0(k3_xcmplx_0(k1_int_1(X2),X3))|~v1_xxreal_0(k3_xcmplx_0(X2,X3))|~v1_xxreal_0(X1)|~r1_xxreal_0(X1,k3_xcmplx_0(k1_int_1(X2),X3))|~v2_xxreal_0(X3)|~v2_xxreal_0(X2)|~v1_xreal_0(X3)|~v1_xreal_0(X2)), inference(spm,[status(thm)],[c_0_14, c_0_15])).
cnf(c_0_19, plain, (r1_xxreal_0(k3_xcmplx_0(k1_int_1(X1),k1_int_1(X2)),k3_xcmplx_0(k1_int_1(X1),X2))|~v1_xreal_0(X2)|~v2_xxreal_0(X2)|~v1_xreal_0(X1)|~v2_xxreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_11])).
fof(c_0_20, plain, ![X23]:(~v1_xreal_0(X23)|v1_xxreal_0(X23)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_xreal_0])])).
cnf(c_0_21, negated_conjecture, (~v1_int_1(k3_xcmplx_0(k1_int_1(esk1_0),k1_int_1(esk2_0)))|~r1_xxreal_0(k3_xcmplx_0(k1_int_1(esk1_0),k1_int_1(esk2_0)),k3_xcmplx_0(esk1_0,esk2_0))|~v1_xreal_0(k3_xcmplx_0(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_16, c_0_17])).
cnf(c_0_22, plain, (r1_xxreal_0(k3_xcmplx_0(k1_int_1(X1),k1_int_1(X2)),k3_xcmplx_0(X1,X2))|~v1_xxreal_0(k3_xcmplx_0(k1_int_1(X1),k1_int_1(X2)))|~v1_xxreal_0(k3_xcmplx_0(k1_int_1(X1),X2))|~v1_xxreal_0(k3_xcmplx_0(X1,X2))|~v2_xxreal_0(X2)|~v2_xxreal_0(X1)|~v1_xreal_0(X2)|~v1_xreal_0(X1)), inference(spm,[status(thm)],[c_0_18, c_0_19])).
cnf(c_0_23, negated_conjecture, (v2_xxreal_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_24, negated_conjecture, (v2_xxreal_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_25, negated_conjecture, (v1_xreal_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_26, negated_conjecture, (v1_xreal_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_27, plain, (v1_xxreal_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_20])).
fof(c_0_28, plain, ![X22]:(~v1_int_1(X22)|v1_xreal_0(X22)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc3_int_1])])).
cnf(c_0_29, negated_conjecture, (~v1_xxreal_0(k3_xcmplx_0(k1_int_1(esk1_0),k1_int_1(esk2_0)))|~v1_xxreal_0(k3_xcmplx_0(k1_int_1(esk1_0),esk2_0))|~v1_int_1(k3_xcmplx_0(k1_int_1(esk1_0),k1_int_1(esk2_0)))|~v1_xreal_0(k3_xcmplx_0(esk1_0,esk2_0))), inference(csr,[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_21, c_0_22]), c_0_23]), c_0_24]), c_0_25]), c_0_26])]), c_0_27])).
cnf(c_0_30, plain, (v1_xreal_0(X1)|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_28])).
fof(c_0_31, plain, ![X25, X26]:(~v1_int_1(X25)|~v1_int_1(X26)|v1_int_1(k3_xcmplx_0(X25,X26))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_int_1])])).
cnf(c_0_32, negated_conjecture, (~v1_xxreal_0(k3_xcmplx_0(k1_int_1(esk1_0),esk2_0))|~v1_int_1(k3_xcmplx_0(k1_int_1(esk1_0),k1_int_1(esk2_0)))|~v1_xreal_0(k3_xcmplx_0(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_27]), c_0_30])).
cnf(c_0_33, plain, (v1_int_1(k3_xcmplx_0(X1,X2))|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_31])).
cnf(c_0_34, negated_conjecture, (~v1_xxreal_0(k3_xcmplx_0(k1_int_1(esk1_0),esk2_0))|~v1_int_1(k1_int_1(esk2_0))|~v1_int_1(k1_int_1(esk1_0))|~v1_xreal_0(k3_xcmplx_0(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_32, c_0_33])).
fof(c_0_35, plain, ![X27, X28]:(~v1_xreal_0(X27)|~v1_xreal_0(X28)|v1_xreal_0(k3_xcmplx_0(X27,X28))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc6_xreal_0])])).
cnf(c_0_36, negated_conjecture, (~v1_int_1(k1_int_1(esk2_0))|~v1_int_1(k1_int_1(esk1_0))|~v1_xreal_0(k3_xcmplx_0(k1_int_1(esk1_0),esk2_0))|~v1_xreal_0(k3_xcmplx_0(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_34, c_0_27])).
cnf(c_0_37, plain, (v1_xreal_0(k3_xcmplx_0(X1,X2))|~v1_xreal_0(X1)|~v1_xreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_35])).
fof(c_0_38, plain, ![X24]:(~v1_xreal_0(X24)|v1_int_1(k1_int_1(X24))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_int_1])])).
cnf(c_0_39, negated_conjecture, (~v1_int_1(k1_int_1(esk2_0))|~v1_int_1(k1_int_1(esk1_0))|~v1_xreal_0(k3_xcmplx_0(esk1_0,esk2_0))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_25])]), c_0_30])).
cnf(c_0_40, plain, (v1_int_1(k1_int_1(X1))|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_38])).
cnf(c_0_41, negated_conjecture, (~v1_int_1(k1_int_1(esk2_0))|~v1_xreal_0(k3_xcmplx_0(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_26])])).
cnf(c_0_42, negated_conjecture, (~v1_xreal_0(k3_xcmplx_0(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_40]), c_0_25])])).
cnf(c_0_43, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_37]), c_0_25]), c_0_26])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 44
# Proof object clause steps            : 25
# Proof object formula steps           : 19
# Proof object conjectures             : 17
# Proof object clause conjectures      : 14
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 14
# Proof object initial formulas used   : 9
# Proof object generating inferences   : 11
# Proof object simplifying inferences  : 17
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 9
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 14
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 14
# Processed clauses                    : 59
# ...of these trivial                  : 0
# ...subsumed                          : 1
# ...remaining for further processing  : 58
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 7
# Backward-rewritten                   : 0
# Generated clauses                    : 46
# ...of the previous two non-trivial   : 44
# Contextual simplify-reflections      : 19
# Paramodulations                      : 46
# 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  : 37
#    Positive orientable unit clauses  : 4
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 30
# Current number of unprocessed clauses: 13
# ...number of literals in the above   : 146
# Current number of archived formulas  : 0
# Current number of archived clauses   : 21
# Clause-clause subsumption calls (NU) : 801
# Rec. Clause-clause subsumption calls : 403
# Non-unit clause-clause subsumptions  : 26
# Unit Clause-clause subsumption calls : 11
# 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          : 3081

# -------------------------------------------------
# User time                : 0.019 s
# System time              : 0.002 s
# Total time               : 0.021 s
# Maximum resident set size: 3636 pages
