# No SInE strategy applied
# Trying AutoSched0 for 161 seconds
# AutoSched0-Mode selected heuristic G_E___107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y
# and selection function SelectMaxLComplexAvoidPosPred.
#
# Preprocessing time       : 0.019 s
# Presaturation interreduction done

# Proof found!
# SZS status Theorem
# SZS output start CNFRefutation
fof(t82_group_5, axiom, ![X1]:(((((~(v2_struct_0(X1))&v15_algstr_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>(((((~(v2_struct_0(X1))&v2_group_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l3_algstr_0(X1))<=>k10_group_5(X1)=X1)), file('group_24/group_24__t111_group_24', t82_group_5)).
fof(dt_k6_group_24, axiom, ![X1]:(((~(v8_ordinal1(X1))&v1_xxreal_0(X1))&v1_counters(X1))=>((((~(v2_struct_0(k6_group_24(X1)))&v15_algstr_0(k6_group_24(X1)))&v2_group_1(k6_group_24(X1)))&v3_group_1(k6_group_24(X1)))&l3_algstr_0(k6_group_24(X1)))), file('group_24/group_24__t111_group_24', dt_k6_group_24)).
fof(cc4_nat_1, axiom, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~(v2_xxreal_0(X1)))), file('group_24/group_24__t111_group_24', cc4_nat_1)).
fof(cc8_ordinal1, axiom, ![X1]:(m1_subset_1(X1,k4_ordinal1)=>v7_ordinal1(X1)), file('group_24/group_24__t111_group_24', cc8_ordinal1)).
fof(spc1_numerals, axiom, (v2_xxreal_0(np__1)&m1_subset_1(np__1,k4_ordinal1)), file('group_24/group_24__t111_group_24', spc1_numerals)).
fof(t111_group_24, conjecture, k10_group_5(k6_group_24(np__1))=k6_group_24(np__1), file('group_24/group_24__t111_group_24', t111_group_24)).
fof(t106_group_24, axiom, (r2_group_6(k6_group_24(np__1),k4_gr_cy_1(np__2))&v5_group_1(k6_group_24(np__1))), file('group_24/group_24__t111_group_24', t106_group_24)).
fof(cc2_xxreal_0, axiom, ![X1]:(v7_ordinal1(X1)=>v1_xxreal_0(X1)), file('group_24/group_24__t111_group_24', cc2_xxreal_0)).
fof(cc2_counters, axiom, ![X1]:(v7_ordinal1(X1)=>v1_counters(X1)), file('group_24/group_24__t111_group_24', cc2_counters)).
fof(c_0_9, plain, ![X1]:(((((~v2_struct_0(X1)&v15_algstr_0(X1))&v2_group_1(X1))&v3_group_1(X1))&l3_algstr_0(X1))=>(((((~v2_struct_0(X1)&v2_group_1(X1))&v3_group_1(X1))&v5_group_1(X1))&l3_algstr_0(X1))<=>k10_group_5(X1)=X1)), inference(fof_simplification,[status(thm)],[t82_group_5])).
fof(c_0_10, plain, ![X15]:((v2_struct_0(X15)|~v2_group_1(X15)|~v3_group_1(X15)|~v5_group_1(X15)|~l3_algstr_0(X15)|k10_group_5(X15)=X15|(v2_struct_0(X15)|~v15_algstr_0(X15)|~v2_group_1(X15)|~v3_group_1(X15)|~l3_algstr_0(X15)))&(((((~v2_struct_0(X15)|k10_group_5(X15)!=X15|(v2_struct_0(X15)|~v15_algstr_0(X15)|~v2_group_1(X15)|~v3_group_1(X15)|~l3_algstr_0(X15)))&(v2_group_1(X15)|k10_group_5(X15)!=X15|(v2_struct_0(X15)|~v15_algstr_0(X15)|~v2_group_1(X15)|~v3_group_1(X15)|~l3_algstr_0(X15))))&(v3_group_1(X15)|k10_group_5(X15)!=X15|(v2_struct_0(X15)|~v15_algstr_0(X15)|~v2_group_1(X15)|~v3_group_1(X15)|~l3_algstr_0(X15))))&(v5_group_1(X15)|k10_group_5(X15)!=X15|(v2_struct_0(X15)|~v15_algstr_0(X15)|~v2_group_1(X15)|~v3_group_1(X15)|~l3_algstr_0(X15))))&(l3_algstr_0(X15)|k10_group_5(X15)!=X15|(v2_struct_0(X15)|~v15_algstr_0(X15)|~v2_group_1(X15)|~v3_group_1(X15)|~l3_algstr_0(X15))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])).
fof(c_0_11, plain, ![X1]:(((~v8_ordinal1(X1)&v1_xxreal_0(X1))&v1_counters(X1))=>((((~v2_struct_0(k6_group_24(X1))&v15_algstr_0(k6_group_24(X1)))&v2_group_1(k6_group_24(X1)))&v3_group_1(k6_group_24(X1)))&l3_algstr_0(k6_group_24(X1)))), inference(fof_simplification,[status(thm)],[dt_k6_group_24])).
fof(c_0_12, plain, ![X1]:((v7_ordinal1(X1)&v8_ordinal1(X1))=>(v7_ordinal1(X1)&~v2_xxreal_0(X1))), inference(fof_simplification,[status(thm)],[cc4_nat_1])).
fof(c_0_13, plain, ![X12]:(~m1_subset_1(X12,k4_ordinal1)|v7_ordinal1(X12)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_ordinal1])])).
cnf(c_0_14, plain, (v2_struct_0(X1)|k10_group_5(X1)=X1|v2_struct_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~v5_group_1(X1)|~l3_algstr_0(X1)|~v15_algstr_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)), inference(split_conjunct,[status(thm)],[c_0_10])).
fof(c_0_15, plain, ![X14]:(((((~v2_struct_0(k6_group_24(X14))|(v8_ordinal1(X14)|~v1_xxreal_0(X14)|~v1_counters(X14)))&(v15_algstr_0(k6_group_24(X14))|(v8_ordinal1(X14)|~v1_xxreal_0(X14)|~v1_counters(X14))))&(v2_group_1(k6_group_24(X14))|(v8_ordinal1(X14)|~v1_xxreal_0(X14)|~v1_counters(X14))))&(v3_group_1(k6_group_24(X14))|(v8_ordinal1(X14)|~v1_xxreal_0(X14)|~v1_counters(X14))))&(l3_algstr_0(k6_group_24(X14))|(v8_ordinal1(X14)|~v1_xxreal_0(X14)|~v1_counters(X14)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])).
fof(c_0_16, plain, ![X11]:((v7_ordinal1(X11)|(~v7_ordinal1(X11)|~v8_ordinal1(X11)))&(~v2_xxreal_0(X11)|(~v7_ordinal1(X11)|~v8_ordinal1(X11)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])).
cnf(c_0_17, plain, (v7_ordinal1(X1)|~m1_subset_1(X1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[c_0_13])).
cnf(c_0_18, plain, (m1_subset_1(np__1,k4_ordinal1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_19, plain, (k10_group_5(X1)=X1|v2_struct_0(X1)|~v15_algstr_0(X1)|~v2_group_1(X1)|~v3_group_1(X1)|~l3_algstr_0(X1)|~v5_group_1(X1)), inference(cn,[status(thm)],[c_0_14])).
cnf(c_0_20, plain, (l3_algstr_0(k6_group_24(X1))|v8_ordinal1(X1)|~v1_xxreal_0(X1)|~v1_counters(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_21, plain, (v15_algstr_0(k6_group_24(X1))|v8_ordinal1(X1)|~v1_xxreal_0(X1)|~v1_counters(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_22, plain, (v2_group_1(k6_group_24(X1))|v8_ordinal1(X1)|~v1_xxreal_0(X1)|~v1_counters(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_23, plain, (v3_group_1(k6_group_24(X1))|v8_ordinal1(X1)|~v1_xxreal_0(X1)|~v1_counters(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
cnf(c_0_24, plain, (v8_ordinal1(X1)|~v2_struct_0(k6_group_24(X1))|~v1_xxreal_0(X1)|~v1_counters(X1)), inference(split_conjunct,[status(thm)],[c_0_15])).
fof(c_0_25, negated_conjecture, k10_group_5(k6_group_24(np__1))!=k6_group_24(np__1), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t111_group_24])])).
cnf(c_0_26, plain, (~v2_xxreal_0(X1)|~v7_ordinal1(X1)|~v8_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
cnf(c_0_27, plain, (v2_xxreal_0(np__1)), inference(split_conjunct,[status(thm)],[spc1_numerals])).
cnf(c_0_28, plain, (v7_ordinal1(np__1)), inference(spm,[status(thm)],[c_0_17, c_0_18])).
cnf(c_0_29, plain, (k10_group_5(k6_group_24(X1))=k6_group_24(X1)|v8_ordinal1(X1)|~v5_group_1(k6_group_24(X1))|~v1_xxreal_0(X1)|~v1_counters(X1)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19, c_0_20]), c_0_21]), c_0_22]), c_0_23]), c_0_24])).
cnf(c_0_30, plain, (v5_group_1(k6_group_24(np__1))), inference(split_conjunct,[status(thm)],[t106_group_24])).
cnf(c_0_31, negated_conjecture, (k10_group_5(k6_group_24(np__1))!=k6_group_24(np__1)), inference(split_conjunct,[status(thm)],[c_0_25])).
cnf(c_0_32, plain, (~v8_ordinal1(np__1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_27]), c_0_28])])).
fof(c_0_33, plain, ![X10]:(~v7_ordinal1(X10)|v1_xxreal_0(X10)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_xxreal_0])])).
cnf(c_0_34, plain, (~v1_xxreal_0(np__1)|~v1_counters(np__1)), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29, c_0_30]), c_0_31]), c_0_32])).
cnf(c_0_35, plain, (v1_xxreal_0(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_33])).
fof(c_0_36, plain, ![X9]:(~v7_ordinal1(X9)|v1_counters(X9)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_counters])])).
cnf(c_0_37, plain, (~v1_counters(np__1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_28])])).
cnf(c_0_38, plain, (v1_counters(X1)|~v7_ordinal1(X1)), inference(split_conjunct,[status(thm)],[c_0_36])).
cnf(c_0_39, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_28])]), ['proof']).
# SZS output end CNFRefutation
# Proof object total steps             : 40
# Proof object clause steps            : 21
# Proof object formula steps           : 19
# Proof object conjectures             : 3
# Proof object clause conjectures      : 1
# Proof object formula conjectures     : 2
# Proof object initial clauses used    : 14
# Proof object initial formulas used   : 9
# Proof object generating inferences   : 6
# Proof object simplifying inferences  : 13
# Training examples: 0 positive, 0 negative
# Parsed axioms                        : 10
# Removed by relevancy pruning/SinE    : 0
# Initial clauses                      : 26
# Removed in clause preprocessing      : 5
# Initial clauses in saturation        : 21
# Processed clauses                    : 47
# ...of these trivial                  : 0
# ...subsumed                          : 0
# ...remaining for further processing  : 47
# Other redundant clauses eliminated   : 0
# Clauses deleted for lack of memory   : 0
# Backward-subsumed                    : 0
# Backward-rewritten                   : 0
# Generated clauses                    : 7
# ...of the previous two non-trivial   : 6
# Contextual simplify-reflections      : 4
# 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  : 26
#    Positive orientable unit clauses  : 5
#    Positive unorientable unit clauses: 0
#    Negative unit clauses             : 3
#    Non-unit-clauses                  : 18
# Current number of unprocessed clauses: 1
# ...number of literals in the above   : 9
# Current number of archived formulas  : 0
# Current number of archived clauses   : 21
# Clause-clause subsumption calls (NU) : 238
# Rec. Clause-clause subsumption calls : 140
# Non-unit clause-clause subsumptions  : 4
# Unit Clause-clause subsumption calls : 1
# 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          : 1996

# -------------------------------------------------
# User time                : 0.018 s
# System time              : 0.004 s
# Total time               : 0.022 s
# Maximum resident set size: 3560 pages
