# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S0U
# and selection function SelectComplexExceptRRHorn.
#
# Preprocessing time       : 0.019 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(d3_int_2, axiom, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>(r1_int_2(X1,X2)<=>k3_int_2(X1,X2)=np__1))), file('number14/number14__t11_number14', d3_int_2)).
fof(commutativity_k3_int_2, axiom, ![X1, X2]:((v1_int_1(X1)&v1_int_1(X2))=>k3_int_2(X1,X2)=k3_int_2(X2,X1)), file('number14/number14__t11_number14', commutativity_k3_int_2)).
fof(t11_number14, conjecture, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>(r1_int_2(X1,X2)<=>r1_int_2(k4_xcmplx_0(X1),k4_xcmplx_0(X2))))), file('number14/number14__t11_number14', t11_number14)).
fof(fc3_int_1, axiom, ![X1]:(v1_int_1(X1)=>(v1_xcmplx_0(k4_xcmplx_0(X1))&v1_int_1(k4_xcmplx_0(X1)))), file('number14/number14__t11_number14', fc3_int_1)).
fof(t1_newton02, axiom, ![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>k3_int_2(X1,X2)=k3_int_2(k4_xcmplx_0(X1),X2))), file('number14/number14__t11_number14', t1_newton02)).
fof(c_0_5, plain, ![X16, X17]:((~r1_int_2(X16,X17)|k3_int_2(X16,X17)=np__1|~v1_int_1(X17)|~v1_int_1(X16))&(k3_int_2(X16,X17)!=np__1|r1_int_2(X16,X17)|~v1_int_1(X17)|~v1_int_1(X16))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_int_2])])])])).
fof(c_0_6, plain, ![X14, X15]:(~v1_int_1(X14)|~v1_int_1(X15)|k3_int_2(X14,X15)=k3_int_2(X15,X14)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[commutativity_k3_int_2])])).
cnf(c_0_7, plain, (r1_int_2(X1,X2)|k3_int_2(X1,X2)!=np__1|~v1_int_1(X2)|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_5])).
cnf(c_0_8, plain, (k3_int_2(X1,X2)=k3_int_2(X2,X1)|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_6])).
fof(c_0_9, negated_conjecture, ~(![X1]:(v1_int_1(X1)=>![X2]:(v1_int_1(X2)=>(r1_int_2(X1,X2)<=>r1_int_2(k4_xcmplx_0(X1),k4_xcmplx_0(X2)))))), inference(assume_negation,[status(cth)],[t11_number14])).
cnf(c_0_10, plain, (r1_int_2(X1,X2)|k3_int_2(X2,X1)!=np__1|~v1_int_1(X2)|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_7, c_0_8])).
cnf(c_0_11, plain, (k3_int_2(X1,X2)=np__1|~r1_int_2(X1,X2)|~v1_int_1(X2)|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_5])).
fof(c_0_12, negated_conjecture, (v1_int_1(esk1_0)&(v1_int_1(esk2_0)&((~r1_int_2(esk1_0,esk2_0)|~r1_int_2(k4_xcmplx_0(esk1_0),k4_xcmplx_0(esk2_0)))&(r1_int_2(esk1_0,esk2_0)|r1_int_2(k4_xcmplx_0(esk1_0),k4_xcmplx_0(esk2_0)))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
cnf(c_0_13, plain, (r1_int_2(X1,X2)|~r1_int_2(X2,X1)|~v1_int_1(X2)|~v1_int_1(X1)), inference(spm,[status(thm)],[c_0_10, c_0_11])).
cnf(c_0_14, negated_conjecture, (r1_int_2(esk1_0,esk2_0)|r1_int_2(k4_xcmplx_0(esk1_0),k4_xcmplx_0(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_12])).
fof(c_0_15, plain, ![X18]:((v1_xcmplx_0(k4_xcmplx_0(X18))|~v1_int_1(X18))&(v1_int_1(k4_xcmplx_0(X18))|~v1_int_1(X18))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_int_1])])])).
fof(c_0_16, plain, ![X19, X20]:(~v1_int_1(X19)|(~v1_int_1(X20)|k3_int_2(X19,X20)=k3_int_2(k4_xcmplx_0(X19),X20))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_newton02])])])).
cnf(c_0_17, negated_conjecture, (r1_int_2(k4_xcmplx_0(esk2_0),k4_xcmplx_0(esk1_0))|r1_int_2(esk1_0,esk2_0)|~v1_int_1(k4_xcmplx_0(esk1_0))|~v1_int_1(k4_xcmplx_0(esk2_0))), inference(spm,[status(thm)],[c_0_13, c_0_14])).
cnf(c_0_18, plain, (v1_int_1(k4_xcmplx_0(X1))|~v1_int_1(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_19, negated_conjecture, (v1_int_1(esk1_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_20, plain, (k3_int_2(X1,X2)=k3_int_2(k4_xcmplx_0(X1),X2)|~v1_int_1(X1)|~v1_int_1(X2)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_21, negated_conjecture, (r1_int_2(k4_xcmplx_0(esk2_0),k4_xcmplx_0(esk1_0))|r1_int_2(esk1_0,esk2_0)|~v1_int_1(k4_xcmplx_0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_18]), c_0_19])])).
cnf(c_0_22, negated_conjecture, (v1_int_1(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_23, plain, (k3_int_2(X1,X2)=np__1|~r1_int_2(k4_xcmplx_0(X1),X2)|~v1_int_1(X2)|~v1_int_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_11]), c_0_18])).
cnf(c_0_24, negated_conjecture, (r1_int_2(k4_xcmplx_0(esk2_0),k4_xcmplx_0(esk1_0))|r1_int_2(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21, c_0_18]), c_0_22])])).
cnf(c_0_25, negated_conjecture, (k3_int_2(esk2_0,k4_xcmplx_0(esk1_0))=np__1|r1_int_2(esk1_0,esk2_0)|~v1_int_1(k4_xcmplx_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_22])])).
cnf(c_0_26, negated_conjecture, (~r1_int_2(esk1_0,esk2_0)|~r1_int_2(k4_xcmplx_0(esk1_0),k4_xcmplx_0(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_12])).
cnf(c_0_27, plain, (r1_int_2(k4_xcmplx_0(X1),X2)|k3_int_2(X1,X2)!=np__1|~v1_int_1(X2)|~v1_int_1(X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_20]), c_0_18])).
cnf(c_0_28, negated_conjecture, (k3_int_2(esk2_0,k4_xcmplx_0(esk1_0))=np__1|r1_int_2(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_18]), c_0_19])])).
cnf(c_0_29, negated_conjecture, (k3_int_2(esk1_0,k4_xcmplx_0(esk2_0))!=np__1|~r1_int_2(esk1_0,esk2_0)|~v1_int_1(k4_xcmplx_0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_19])])).
cnf(c_0_30, plain, (k3_int_2(X1,X2)=np__1|~r1_int_2(X2,X1)|~v1_int_1(X1)|~v1_int_1(X2)), inference(spm,[status(thm)],[c_0_11, c_0_8])).
cnf(c_0_31, negated_conjecture, (r1_int_2(k4_xcmplx_0(esk1_0),esk2_0)|r1_int_2(esk1_0,esk2_0)|~v1_int_1(k4_xcmplx_0(esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_28]), c_0_22])])).
cnf(c_0_32, negated_conjecture, (~r1_int_2(k4_xcmplx_0(esk2_0),esk1_0)|~r1_int_2(esk1_0,esk2_0)|~v1_int_1(k4_xcmplx_0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_19])])).
cnf(c_0_33, negated_conjecture, (r1_int_2(k4_xcmplx_0(esk1_0),esk2_0)|r1_int_2(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_18]), c_0_19])])).
cnf(c_0_34, negated_conjecture, (k3_int_2(esk2_0,esk1_0)!=np__1|~r1_int_2(esk1_0,esk2_0)|~v1_int_1(k4_xcmplx_0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_27]), c_0_19]), c_0_22])])).
cnf(c_0_35, negated_conjecture, (k3_int_2(esk1_0,esk2_0)=np__1|r1_int_2(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_33]), c_0_22]), c_0_19])])).
cnf(c_0_36, negated_conjecture, (~r1_int_2(esk1_0,esk2_0)|~v1_int_1(k4_xcmplx_0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_30]), c_0_22]), c_0_19])])).
cnf(c_0_37, negated_conjecture, (r1_int_2(esk1_0,esk2_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_35]), c_0_22]), c_0_19])])).
cnf(c_0_38, negated_conjecture, (~v1_int_1(k4_xcmplx_0(esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_37])])).
cnf(c_0_39, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_18]), c_0_22])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 40
# Proof object clause steps            : 29
# Proof object formula steps           : 11
# Proof object conjectures             : 22
# Proof object clause conjectures      : 19
# Proof object formula conjectures     : 3
# Proof object initial clauses used    : 9
# Proof object initial formulas used   : 5
# Proof object generating inferences   : 19
# Proof object simplifying inferences  : 34
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 5
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 10
# Removed in clause preprocessing      : 0
# Initial clauses in saturation        : 10
# Processed clauses                    : 53
# ...of these trivial                  : 0
# ...subsumed                          : 8
# ...remaining for further processing  : 45
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 10
# Backward-rewritten                   : 8
# Generated clauses                    : 60
# ...of the previous two non-trivial   : 55
# Contextual simplify-reflections      : 3
# Paramodulations                      : 60
# 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  : 17
#    Positive orientable unit clauses  : 3
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 1
#    Non-unit-clauses                  : 13
# Current number of unprocessed clauses: 20
# ...number of literals in the above   : 73
# Current number of archived formulas  : 0
# Current number of archived clauses   : 28
# Clause-clause subsumption calls (NU) : 123
# Rec. Clause-clause subsumption calls : 80
# Non-unit clause-clause subsumptions  : 21
# 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          : 1699

# -------------------------------------------------
# User time                : 0.019 s
# System time              : 0.004 s
# Total time               : 0.023 s
# Maximum resident set size: 3004 pages
