# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
# and selection function PSelectComplexExceptUniqMaxHorn.
#
# Preprocessing time       : 0.018 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(l3_curve, conjecture, ![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>r1_tarski(k2_rcomp_1(X1,X2),k1_rcomp_1(X1,X2)))), file('curve/curve__l3_curve', l3_curve)).
fof(redefinition_k1_rcomp_1, axiom, ![X1, X2]:((v1_xreal_0(X1)&v1_xreal_0(X2))=>k1_rcomp_1(X1,X2)=k1_xxreal_1(X1,X2)), file('curve/curve__l3_curve', redefinition_k1_rcomp_1)).
fof(redefinition_k2_rcomp_1, axiom, ![X1, X2]:((v1_xxreal_0(X1)&v1_xxreal_0(X2))=>k2_rcomp_1(X1,X2)=k4_xxreal_1(X1,X2)), file('curve/curve__l3_curve', redefinition_k2_rcomp_1)).
fof(t25_xxreal_1, axiom, ![X1]:(v1_xxreal_0(X1)=>![X2]:(v1_xxreal_0(X2)=>r1_tarski(k4_xxreal_1(X1,X2),k1_xxreal_1(X1,X2)))), file('curve/curve__l3_curve', t25_xxreal_1)).
fof(cc4_xreal_0, axiom, ![X1]:(v1_xreal_0(X1)=>v1_xxreal_0(X1)), file('curve/curve__l3_curve', cc4_xreal_0)).
fof(c_0_5, negated_conjecture, ~(![X1]:(v1_xreal_0(X1)=>![X2]:(v1_xreal_0(X2)=>r1_tarski(k2_rcomp_1(X1,X2),k1_rcomp_1(X1,X2))))), inference(assume_negation,[status(cth)],[l3_curve])).
fof(c_0_6, negated_conjecture, (v1_xreal_0(esk1_0)&(v1_xreal_0(esk2_0)&~r1_tarski(k2_rcomp_1(esk1_0,esk2_0),k1_rcomp_1(esk1_0,esk2_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])).
fof(c_0_7, plain, ![X14, X15]:(~v1_xreal_0(X14)|~v1_xreal_0(X15)|k1_rcomp_1(X14,X15)=k1_xxreal_1(X14,X15)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k1_rcomp_1])])).
cnf(c_0_8, negated_conjecture, (~r1_tarski(k2_rcomp_1(esk1_0,esk2_0),k1_rcomp_1(esk1_0,esk2_0))), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_9, plain, (k1_rcomp_1(X1,X2)=k1_xxreal_1(X1,X2)|~v1_xreal_0(X1)|~v1_xreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_7])).
cnf(c_0_10, negated_conjecture, (v1_xreal_0(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
cnf(c_0_11, negated_conjecture, (v1_xreal_0(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_6])).
fof(c_0_12, plain, ![X16, X17]:(~v1_xxreal_0(X16)|~v1_xxreal_0(X17)|k2_rcomp_1(X16,X17)=k4_xxreal_1(X16,X17)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k2_rcomp_1])])).
cnf(c_0_13, negated_conjecture, (~r1_tarski(k2_rcomp_1(esk1_0,esk2_0),k1_xxreal_1(esk1_0,esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_9]), c_0_10]), c_0_11])])).
cnf(c_0_14, plain, (k2_rcomp_1(X1,X2)=k4_xxreal_1(X1,X2)|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_12])).
fof(c_0_15, plain, ![X19, X20]:(~v1_xxreal_0(X19)|(~v1_xxreal_0(X20)|r1_tarski(k4_xxreal_1(X19,X20),k1_xxreal_1(X19,X20)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_xxreal_1])])])).
cnf(c_0_16, negated_conjecture, (~v1_xxreal_0(esk2_0)|~v1_xxreal_0(esk1_0)|~r1_tarski(k4_xxreal_1(esk1_0,esk2_0),k1_xxreal_1(esk1_0,esk2_0))), inference(spm,[status(thm)],[c_0_13, c_0_14])).
cnf(c_0_17, plain, (r1_tarski(k4_xxreal_1(X1,X2),k1_xxreal_1(X1,X2))|~v1_xxreal_0(X1)|~v1_xxreal_0(X2)), inference(split_conjunct,[status(thm)],[c_0_15])).
fof(c_0_18, plain, ![X18]:(~v1_xreal_0(X18)|v1_xxreal_0(X18)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc4_xreal_0])])).
cnf(c_0_19, negated_conjecture, (~v1_xxreal_0(esk2_0)|~v1_xxreal_0(esk1_0)), inference(spm,[status(thm)],[c_0_16, c_0_17])).
cnf(c_0_20, plain, (v1_xxreal_0(X1)|~v1_xreal_0(X1)), inference(split_conjunct,[status(thm)],[c_0_18])).
cnf(c_0_21, negated_conjecture, (~v1_xxreal_0(esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_11])])).
cnf(c_0_22, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_20]), c_0_10])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 23
# Proof object clause steps            : 12
# Proof object formula steps           : 11
# Proof object conjectures             : 11
# Proof object clause conjectures      : 8
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 7
# Proof object initial formulas used   : 5
# Proof object generating inferences   : 5
# Proof object simplifying inferences  : 7
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 5
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 7
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 7
# Processed clauses                    : 19
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 19
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 2
# Backward-rewritten                   : 0
# Generated clauses                    : 7
# ...of the previous two non-trivial   : 6
# Contextual simplify-reflections      : 0
# Paramodulations                      : 7
# 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  : 2
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 5
# Current number of unprocessed clauses: 1
# ...number of literals in the above   : 3
# Current number of archived formulas  : 0
# Current number of archived clauses   : 9
# Clause-clause subsumption calls (NU) : 4
# Rec. Clause-clause subsumption calls : 2
# 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          : 634

# -------------------------------------------------
# User time                : 0.017 s
# System time              : 0.004 s
# Total time               : 0.021 s
# Maximum resident set size: 2852 pages
