0.00/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.09/0.12	% Command    : eprover-ho %s --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --free-numbers -auto-schedule -p --cpu-limit=%d --neg-ext=all --pos-ext=all --ext-sup-max-depth=2 --schedule-kind=CASC
0.12/0.32	% Computer   : n012.cluster.edu
0.12/0.32	% Model      : x86_64 x86_64
0.12/0.32	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.32	% Memory     : 8042.1875MB
0.12/0.32	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.32	% CPULimit   : 1200
0.12/0.32	% WCLimit    : 120
0.12/0.32	% DateTime   : Tue Jul 13 15:20:01 EDT 2021
0.12/0.33	% CPUTime    : 
0.12/0.33	% Number of cores: 8
0.18/0.33	% Python version: Python 3.6.8
0.18/0.33	# Version: 2.6rc1-ho
0.18/0.34	# No SInE strategy applied
0.18/0.34	# Trying AutoSched0 for 59 seconds
0.58/0.76	# AutoSched0-Mode selected heuristic G_E___303_C18_F1_URBAN_S0Y
0.58/0.76	# and selection function SelectMaxLComplexAvoidPosPred.
0.58/0.76	#
0.58/0.76	# Preprocessing time       : 0.086 s
0.58/0.76	
0.58/0.76	# Proof found!
0.58/0.76	# SZS status Theorem
0.58/0.76	# SZS output start CNFRefutation
0.58/0.76	thf(def_d_not, axiom, (d_not)=(^[X36:$o]:(X36=>~$true)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_d_not)).
0.58/0.76	thf(def_imp, axiom, (imp)=(^[X34:$o, X35:$o]:(X34=>X35)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_imp)).
0.58/0.76	thf(def_all_of, axiom, (all_of)=(^[X3:$i > $o, X2:$i > $o]:![X4:$i]:(X3 @ X4=>X2 @ X4)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_all_of)).
0.58/0.76	thf(def_is_of, axiom, (is_of)=(^[X1:$i, X2:$i > $o]:X2 @ X1), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_is_of)).
0.58/0.76	thf(def_non, axiom, (non)=(^[X1:$i, X2:$i > $o, X4:$i]:(X2 @ X4=>~$true)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_non)).
0.58/0.76	thf(def_l_some, axiom, (l_some)=(^[X1:$i, X2:$i > $o]:(![X472:$i]:(in @ X472 @ X1=>(X2 @ X472=>~$true))=>~$true)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_l_some)).
0.58/0.76	thf(def_n_is, axiom, (n_is)=(^[X548:$i, X549:$i]:(X548)=(X549)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_n_is)).
0.58/0.76	thf(def_e_is, axiom, (e_is)=(^[X1:$i, X60:$i, X61:$i]:(X60)=(X61)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_e_is)).
0.58/0.76	thf(def_n_some, axiom, (n_some)=(^[X550:$i > $o]:(![X551:$i]:(in @ X551 @ nat=>(X550 @ X551=>~$true))=>~$true)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_n_some)).
0.58/0.76	thf(def_diffprop, axiom, (diffprop)=(^[X1:$i, X183:$i, X4:$i]:(X1)=(n_pl @ X183 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_diffprop)).
0.58/0.76	thf(def_l_or, axiom, (l_or)=(^[X42:$o, X467:$o]:((X42=>~$true)=>X467)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_l_or)).
0.58/0.76	thf(def_iii, axiom, (iii)=(^[X1:$i, X185:$i]:(![X575:$i]:(in @ X575 @ nat=>((X185)=(n_pl @ X1 @ X575)=>~$true))=>~$true)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_iii)).
0.58/0.76	thf(def_d_29_ii, axiom, (d_29_ii)=(^[X1:$i, X184:$i]:(![X572:$i]:(in @ X572 @ nat=>((X1)=(n_pl @ X184 @ X572)=>~$true))=>~$true)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_d_29_ii)).
0.58/0.76	thf(def_lessis, axiom, (lessis)=(^[X1:$i, X188:$i]:(((![X580:$i]:(in @ X580 @ nat=>((X188)=(n_pl @ X1 @ X580)=>~$true))=>~$true)=>~$true)=>(X1)=(X188))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_lessis)).
0.58/0.76	thf(def_moreis, axiom, (moreis)=(^[X1:$i, X187:$i]:(((![X579:$i]:(in @ X579 @ nat=>((X1)=(n_pl @ X187 @ X579)=>~$true))=>~$true)=>~$true)=>(X1)=(X187))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_moreis)).
0.58/0.76	thf(satz24a, conjecture, all_of @ (^[X1:$i]:in @ X1 @ nat) @ (lessis @ n_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', satz24a)).
0.58/0.76	thf(satz24, axiom, all_of @ (^[X1:$i]:in @ X1 @ nat) @ (^[X1:$i]:moreis @ X1 @ n_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', satz24)).
0.58/0.76	thf(c_0_17, axiom, (d_not)=(^[X36:$o]:(X36=>~$true)), inference(apply_def,[status(thm)],[def_d_not, def_imp])).
0.58/0.76	thf(c_0_18, axiom, (all_of)=(^[X3:$i > $o, X2:$i > $o]:![X4:$i]:(X3 @ X4=>X2 @ X4)), inference(apply_def,[status(thm)],[def_all_of, def_is_of])).
0.58/0.76	thf(c_0_19, axiom, (non)=(^[X1:$i, X2:$i > $o, X4:$i]:(X2 @ X4=>~$true)), inference(apply_def,[status(thm)],[def_non, c_0_17])).
0.58/0.76	thf(c_0_20, axiom, (l_some)=(^[X1:$i, X2:$i > $o]:(![X472:$i]:(in @ X472 @ X1=>(X2 @ X472=>~$true))=>~$true)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_l_some, c_0_18]), c_0_17]), c_0_19])).
0.58/0.76	thf(c_0_21, axiom, (n_is)=(^[X548:$i, X549:$i]:(X548)=(X549)), inference(apply_def,[status(thm)],[def_n_is, def_e_is])).
0.58/0.76	thf(c_0_22, axiom, (n_some)=(^[X550:$i > $o]:(![X551:$i]:(in @ X551 @ nat=>(X550 @ X551=>~$true))=>~$true)), inference(apply_def,[status(thm)],[def_n_some, c_0_20])).
0.58/0.76	thf(c_0_23, axiom, (diffprop)=(^[X1:$i, X183:$i, X4:$i]:(X1)=(n_pl @ X183 @ X4)), inference(apply_def,[status(thm)],[def_diffprop, c_0_21])).
0.58/0.76	thf(c_0_24, axiom, (l_or)=(^[X42:$o, X467:$o]:((X42=>~$true)=>X467)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_l_or, def_imp]), c_0_17])).
0.58/0.76	thf(c_0_25, axiom, (iii)=(^[X1:$i, X185:$i]:(![X575:$i]:(in @ X575 @ nat=>((X185)=(n_pl @ X1 @ X575)=>~$true))=>~$true)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_iii, c_0_22]), c_0_23])).
0.58/0.76	thf(c_0_26, axiom, (d_29_ii)=(^[X1:$i, X184:$i]:(![X572:$i]:(in @ X572 @ nat=>((X1)=(n_pl @ X184 @ X572)=>~$true))=>~$true)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_d_29_ii, c_0_22]), c_0_23])).
0.58/0.76	thf(c_0_27, axiom, (lessis)=(^[X1:$i, X188:$i]:(((![X580:$i]:(in @ X580 @ nat=>((X188)=(n_pl @ X1 @ X580)=>~$true))=>~$true)=>~$true)=>(X1)=(X188))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_lessis, c_0_24]), c_0_21]), c_0_25])).
0.58/0.76	thf(c_0_28, axiom, (moreis)=(^[X1:$i, X187:$i]:(((![X579:$i]:(in @ X579 @ nat=>((X1)=(n_pl @ X187 @ X579)=>~$true))=>~$true)=>~$true)=>(X1)=(X187))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_moreis, c_0_24]), c_0_21]), c_0_26])).
0.58/0.76	thf(c_0_29, negated_conjecture, ~(![X2011:$i]:(in @ X2011 @ nat=>(![X2015:$i]:(in @ X2015 @ nat=>(X2011)!=(n_pl @ n_1 @ X2015))=>(n_1)=(X2011)))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[satz24a]), c_0_18]), c_0_27])])).
0.58/0.76	thf(c_0_30, plain, ![X2412:$i]:(in @ X2412 @ nat=>(![X2416:$i]:(in @ X2416 @ nat=>(X2412)!=(n_pl @ n_1 @ X2416))=>(X2412)=(n_1))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[satz24, c_0_18]), c_0_28])])).
0.58/0.76	thf(c_0_31, negated_conjecture, ![X3105:$i]:(in @ esk79_0 @ nat&((~in @ X3105 @ nat|(esk79_0)!=(n_pl @ n_1 @ X3105))&(n_1)!=(esk79_0))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])).
0.58/0.76	thf(c_0_32, plain, ![X3169:$i]:((in @ (esk93_1 @ X3169) @ nat|(X3169)=(n_1)|~in @ X3169 @ nat)&((X3169)=(n_pl @ n_1 @ (esk93_1 @ X3169))|(X3169)=(n_1)|~in @ X3169 @ nat)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])).
0.58/0.76	thf(c_0_33, negated_conjecture, ![X1:$i]:(~in @ X1 @ nat|(esk79_0)!=(n_pl @ n_1 @ X1)), inference(split_conjunct,[status(thm)],[c_0_31])).
0.58/0.76	thf(c_0_34, plain, ![X1:$i]:((X1)=(n_pl @ n_1 @ (esk93_1 @ X1))|(X1)=(n_1)|~in @ X1 @ nat), inference(split_conjunct,[status(thm)],[c_0_32])).
0.58/0.76	thf(c_0_35, plain, ![X1:$i]:(in @ (esk93_1 @ X1) @ nat|(X1)=(n_1)|~in @ X1 @ nat), inference(split_conjunct,[status(thm)],[c_0_32])).
0.58/0.76	thf(c_0_36, negated_conjecture, ![X1:$i]:((X1)=(n_1)|(X1)!=(esk79_0)|~in @ X1 @ nat), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35])).
0.58/0.76	thf(c_0_37, negated_conjecture, in @ esk79_0 @ nat, inference(split_conjunct,[status(thm)],[c_0_31])).
0.58/0.76	thf(c_0_38, negated_conjecture, (n_1)!=(esk79_0), inference(split_conjunct,[status(thm)],[c_0_31])).
0.58/0.76	thf(c_0_39, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38]), ['proof']).
0.58/0.76	# SZS output end CNFRefutation
0.58/0.76	# Proof object total steps             : 40
0.58/0.76	# Proof object clause steps            : 7
0.58/0.76	# Proof object formula steps           : 33
0.58/0.76	# Proof object conjectures             : 8
0.58/0.76	# Proof object clause conjectures      : 5
0.58/0.76	# Proof object formula conjectures     : 3
0.58/0.76	# Proof object initial clauses used    : 5
0.58/0.76	# Proof object initial formulas used   : 17
0.58/0.76	# Proof object generating inferences   : 2
0.58/0.76	# Proof object simplifying inferences  : 2
0.58/0.76	# Training examples: 0 positive, 0 negative
0.58/0.76	# Parsed axioms                        : 398
0.58/0.76	# Removed by relevancy pruning/SinE    : 0
0.58/0.76	# Initial clauses                      : 624
0.58/0.76	# Removed in clause preprocessing      : 169
0.58/0.76	# Initial clauses in saturation        : 455
0.58/0.76	# Processed clauses                    : 936
0.58/0.76	# ...of these trivial                  : 10
0.58/0.76	# ...subsumed                          : 259
0.58/0.76	# ...remaining for further processing  : 667
0.58/0.76	# Other redundant clauses eliminated   : 1610
0.58/0.76	# Clauses deleted for lack of memory   : 0
0.58/0.76	# Backward-subsumed                    : 6
0.58/0.76	# Backward-rewritten                   : 10
0.58/0.76	# Generated clauses                    : 12262
0.58/0.76	# ...of the previous two non-trivial   : 10390
0.58/0.76	# Contextual simplify-reflections      : 13
0.58/0.76	# Paramodulations                      : 10306
0.58/0.76	# Factorizations                       : 0
0.58/0.76	# NegExts                              : 8
0.58/0.76	# Equation resolutions                 : 1692
0.58/0.76	# Propositional unsat checks           : 0
0.58/0.76	#    Propositional check models        : 0
0.58/0.76	#    Propositional check unsatisfiable : 0
0.58/0.76	#    Propositional clauses             : 0
0.58/0.76	#    Propositional clauses after purity: 0
0.58/0.76	#    Propositional unsat core size     : 0
0.58/0.76	#    Propositional preprocessing time  : 0.000
0.58/0.76	#    Propositional encoding time       : 0.000
0.58/0.76	#    Propositional solver time         : 0.000
0.58/0.76	#    Success case prop preproc time    : 0.000
0.58/0.76	#    Success case prop encoding time   : 0.000
0.58/0.76	#    Success case prop solver time     : 0.000
0.58/0.76	# Current number of processed clauses  : 592
0.58/0.76	#    Positive orientable unit clauses  : 97
0.58/0.76	#    Positive unorientable unit clauses: 3
0.58/0.76	#    Negative unit clauses             : 57
0.58/0.76	#    Non-unit-clauses                  : 435
0.58/0.76	# Current number of unprocessed clauses: 9874
0.58/0.76	# ...number of literals in the above   : 57059
0.58/0.76	# Current number of archived formulas  : 0
0.58/0.76	# Current number of archived clauses   : 20
0.58/0.76	# Clause-clause subsumption calls (NU) : 78477
0.58/0.76	# Rec. Clause-clause subsumption calls : 11765
0.58/0.76	# Non-unit clause-clause subsumptions  : 176
0.58/0.76	# Unit Clause-clause subsumption calls : 11516
0.58/0.76	# Rewrite failures with RHS unbound    : 2
0.58/0.76	# BW rewrite match attempts            : 51
0.58/0.76	# BW rewrite match successes           : 9
0.58/0.76	# Condensation attempts                : 0
0.58/0.76	# Condensation successes               : 0
0.58/0.76	# Termbank termtop insertions          : 311541
0.58/0.77	
0.58/0.77	# -------------------------------------------------
0.58/0.77	# User time                : 0.418 s
0.58/0.77	# System time              : 0.019 s
0.58/0.77	# Total time               : 0.437 s
0.58/0.77	# Maximum resident set size: 2316 pages
0.58/0.77	EOF