0.11/0.15	% Problem    : Vampire---4.8_5541 : TPTP v0.0.0. Released v0.0.0.
0.11/0.16	% Command    : run_E %s %d THM
0.15/0.37	% Computer : n006.cluster.edu
0.15/0.37	% Model    : x86_64 x86_64
0.15/0.37	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.37	% Memory   : 8042.1875MB
0.15/0.37	% OS       : Linux 3.10.0-693.el7.x86_64
0.15/0.37	% CPULimit   : 1440
0.15/0.37	% WCLimit    : 180
0.15/0.37	% DateTime   : Mon Jul  3 13:00:21 EDT 2023
0.15/0.37	% CPUTime    : 
0.22/0.54	Running higher-order theorem provingRunning: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.nyKEo7TMRH/Vampire---4.8_5541
0.22/0.54	# Version: 3.1pre001-ho
0.55/0.62	# Preprocessing class: HSLMSMSSLLLCHSA.
0.55/0.62	# Scheduled 6 strats onto 8 cores with 180 seconds (1440 total)
0.55/0.62	# Starting lpo1_fix with 540s (3) cores
0.55/0.62	# Starting full_lambda_9 with 180s (1) cores
0.55/0.62	# Starting almost_fo_4 with 180s (1) cores
0.55/0.62	# Starting new_ho_9 with 180s (1) cores
0.55/0.62	# Starting pre_casc_4 with 180s (1) cores
0.55/0.62	# Starting ho_unfolding_6 with 180s (1) cores
0.55/0.62	# lpo1_fix with pid 5720 completed with status 0
0.55/0.62	# Result found by lpo1_fix
0.55/0.62	# Preprocessing class: HSLMSMSSLLLCHSA.
0.55/0.62	# Scheduled 6 strats onto 8 cores with 180 seconds (1440 total)
0.55/0.62	# Starting lpo1_fix with 540s (3) cores
0.55/0.62	# No SInE strategy applied
0.55/0.62	# Search class: HGHSM-FSLM32-MHSMMSBN
0.55/0.62	# Scheduled 11 strats onto 3 cores with 540 seconds (540 total)
0.55/0.62	# Starting full_lambda_5 with 50s (1) cores
0.55/0.62	# Starting new_ho_6 with 50s (1) cores
0.55/0.62	# Starting pre_casc_4 with 50s (1) cores
0.55/0.62	# new_ho_6 with pid 5731 completed with status 0
0.55/0.62	# Result found by new_ho_6
0.55/0.62	# Preprocessing class: HSLMSMSSLLLCHSA.
0.55/0.62	# Scheduled 6 strats onto 8 cores with 180 seconds (1440 total)
0.55/0.62	# Starting lpo1_fix with 540s (3) cores
0.55/0.62	# No SInE strategy applied
0.55/0.62	# Search class: HGHSM-FSLM32-MHSMMSBN
0.55/0.62	# Scheduled 11 strats onto 3 cores with 540 seconds (540 total)
0.55/0.62	# Starting full_lambda_5 with 50s (1) cores
0.55/0.62	# Starting new_ho_6 with 50s (1) cores
0.55/0.62	# Preprocessing time       : 0.010 s
0.55/0.62	
0.55/0.62	# Proof found!
0.55/0.62	# SZS status Theorem
0.55/0.62	# SZS output start CNFRefutation
0.55/0.62	thf(decl_22, type, is_of: $i > ($i > $o) > $o).
0.55/0.62	thf(decl_23, type, all_of: ($i > $o) > ($i > $o) > $o).
0.55/0.62	thf(decl_25, type, in: $i > $i > $o).
0.55/0.62	thf(decl_47, type, ordsucc: $i > $i).
0.55/0.62	thf(decl_61, type, imp: $o > $o > $o).
0.55/0.62	thf(decl_62, type, d_not: $o > $o).
0.55/0.62	thf(decl_71, type, non: $i > ($i > $o) > $i > $o).
0.55/0.62	thf(decl_72, type, l_some: $i > ($i > $o) > $o).
0.55/0.62	thf(decl_77, type, e_is: $i > $i > $i > $o).
0.55/0.62	thf(decl_123, type, nat: $i).
0.55/0.62	thf(decl_124, type, n_is: $i > $i > $o).
0.55/0.62	thf(decl_127, type, n_some: ($i > $o) > $o).
0.55/0.62	thf(decl_130, type, n_1: $i).
0.55/0.62	thf(decl_142, type, n_pl: $i > $i > $i).
0.55/0.62	thf(decl_147, type, diffprop: $i > $i > $i > $o).
0.55/0.62	thf(decl_148, type, d_29_ii: $i > $i > $o).
0.55/0.62	thf(decl_213, type, esk53_0: $i).
0.55/0.62	thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox2/tmp/tmp.nyKEo7TMRH/Vampire---4.8_5541', def_d_not)).
0.55/0.62	thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:(((X34)=>(X35))))), file('/export/starexec/sandbox2/tmp/tmp.nyKEo7TMRH/Vampire---4.8_5541', def_imp)).
0.55/0.62	thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:(((is_of @ X4 @ X3)=>(X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.nyKEo7TMRH/Vampire---4.8_5541', def_all_of)).
0.55/0.62	thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.nyKEo7TMRH/Vampire---4.8_5541', def_is_of)).
0.55/0.62	thf(def_non, axiom, ((non)=(^[X1:$i, X2:$i > $o, X4:$i]:((d_not @ ((X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.nyKEo7TMRH/Vampire---4.8_5541', def_non)).
0.55/0.62	thf(def_l_some, axiom, ((l_some)=(^[X1:$i, X2:$i > $o]:((d_not @ ((all_of @ (^[X4:$i]:((in @ X4 @ X1))) @ (non @ X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.nyKEo7TMRH/Vampire---4.8_5541', def_l_some)).
0.55/0.62	thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox2/tmp/tmp.nyKEo7TMRH/Vampire---4.8_5541', def_e_is)).
0.55/0.62	thf(def_diffprop, axiom, ((diffprop)=(^[X1:$i, X183:$i, X4:$i]:((n_is @ X1 @ (n_pl @ X183 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.nyKEo7TMRH/Vampire---4.8_5541', def_diffprop)).
0.55/0.62	thf(def_n_is, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox2/tmp/tmp.nyKEo7TMRH/Vampire---4.8_5541', def_n_is)).
0.55/0.62	thf(def_d_29_ii, axiom, ((d_29_ii)=(^[X1:$i, X184:$i]:((n_some @ (diffprop @ X1 @ X184))))), file('/export/starexec/sandbox2/tmp/tmp.nyKEo7TMRH/Vampire---4.8_5541', def_d_29_ii)).
0.55/0.62	thf(def_n_some, axiom, ((n_some)=(^[Z0/* 3 */:$i > $o]:((((((![X439:$i]:(((((in @ X439 @ nat)))=>((((((Z0 @ X439)))=>(~($true))))))))))=>(~($true))))))), file('/export/starexec/sandbox2/tmp/tmp.nyKEo7TMRH/Vampire---4.8_5541', def_n_some)).
0.55/0.62	thf(satz18b, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((d_29_ii @ (ordsucc @ X1) @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.nyKEo7TMRH/Vampire---4.8_5541', satz18b)).
0.55/0.62	thf(satz4e, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((n_is @ (ordsucc @ X1) @ (n_pl @ X1 @ n_1))))), file('/export/starexec/sandbox2/tmp/tmp.nyKEo7TMRH/Vampire---4.8_5541', satz4e)).
0.55/0.62	thf(n_1_p, axiom, (is_of @ n_1 @ (^[X1:$i]:((in @ X1 @ nat)))), file('/export/starexec/sandbox2/tmp/tmp.nyKEo7TMRH/Vampire---4.8_5541', n_1_p)).
0.55/0.62	thf(c_0_14, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_not])).
0.55/0.62	thf(c_0_15, plain, ((imp)=(^[Z0/* 19 */:$o, Z1:$o]:(((Z0)=>(Z1))))), inference(fof_simplification,[status(thm)],[def_imp])).
0.55/0.62	thf(c_0_16, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])).
0.55/0.62	thf(c_0_17, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])).
0.55/0.62	thf(c_0_18, plain, ((non)=(^[Z0/* 19 */:$i, Z1:$i > $o, Z2:$i]:((((((Z1 @ Z2)))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_non])).
0.55/0.62	thf(c_0_19, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_14, c_0_15])).
0.55/0.62	thf(c_0_20, plain, ((l_some)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((((((![X412:$i]:(((((in @ X412 @ Z0)))=>((((((Z1 @ X412)))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_l_some])).
0.55/0.62	thf(c_0_21, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_16, c_0_17])).
0.55/0.62	thf(c_0_22, plain, ((non)=(^[Z0/* 19 */:$i, Z1:$i > $o, Z2:$i]:((((((Z1 @ Z2)))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_18, c_0_19])).
0.55/0.62	thf(c_0_23, plain, ((e_is)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])).
0.55/0.62	thf(c_0_24, plain, ((l_some)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((((((![X412:$i]:(((((in @ X412 @ Z0)))=>((((((Z1 @ X412)))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_20, c_0_21]), c_0_19]), c_0_22])).
0.55/0.62	thf(c_0_25, plain, ((diffprop)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[def_diffprop])).
0.55/0.62	thf(c_0_26, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_23])).
0.55/0.62	thf(c_0_27, plain, ((d_29_ii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X450:$i]:(((((in @ X450 @ nat)))=>(((((((((Z0)=(n_pl @ Z1 @ X450))))))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_29_ii])).
0.55/0.62	thf(c_0_28, axiom, ((n_some)=(^[Z0/* 3 */:$i > $o]:((((((![X439:$i]:(((((in @ X439 @ nat)))=>((((((Z0 @ X439)))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[def_n_some, c_0_24])).
0.55/0.62	thf(c_0_29, plain, ((diffprop)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(apply_def,[status(thm)],[c_0_25, c_0_26])).
0.55/0.62	thf(c_0_30, plain, ((d_29_ii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X450:$i]:(((((in @ X450 @ nat)))=>(((((((((Z0)=(n_pl @ Z1 @ X450))))))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_27, c_0_28]), c_0_29])).
0.55/0.62	thf(c_0_31, negated_conjecture, ~(![X676:$i]:(((in @ X676 @ nat)=>~(![X675:$i]:(((in @ X675 @ nat)=>((ordsucc @ X676)!=(n_pl @ X676 @ X675)))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz18b])]), c_0_21]), c_0_30])])).
0.55/0.62	thf(c_0_32, plain, ![X618:$i]:(((in @ X618 @ nat)=>((ordsucc @ X618)=(n_pl @ X618 @ n_1)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz4e]), c_0_21]), c_0_26])).
0.55/0.62	thf(c_0_33, negated_conjecture, ![X1279:$i]:(((in @ esk53_0 @ nat)&(~(in @ X1279 @ nat)|((ordsucc @ esk53_0)!=(n_pl @ esk53_0 @ X1279))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])])).
0.55/0.62	thf(c_0_34, plain, ![X1225:$i]:((~(in @ X1225 @ nat)|((ordsucc @ X1225)=(n_pl @ X1225 @ n_1)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])).
0.55/0.62	thf(c_0_35, negated_conjecture, ![X1:$i]:((~((in @ X1 @ nat))|((ordsucc @ esk53_0)!=(n_pl @ esk53_0 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_33])).
0.55/0.62	thf(c_0_36, plain, ![X1:$i]:((((ordsucc @ X1)=(n_pl @ X1 @ n_1))|~((in @ X1 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_34])).
0.55/0.62	thf(c_0_37, negated_conjecture, (in @ esk53_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_33])).
0.55/0.62	thf(c_0_38, plain, (in @ n_1 @ nat), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[n_1_p]), c_0_17])).
0.55/0.62	thf(c_0_39, negated_conjecture, ![X1:$i]:((((n_pl @ esk53_0 @ n_1)!=(n_pl @ esk53_0 @ X1))|~((in @ X1 @ nat)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36]), c_0_37])])).
0.55/0.62	thf(c_0_40, plain, (in @ n_1 @ nat), inference(split_conjunct,[status(thm)],[c_0_38])).
0.55/0.62	thf(c_0_41, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_39]), c_0_40])]), ['proof']).
0.55/0.62	# SZS output end CNFRefutation
0.55/0.62	# Parsed axioms                        : 367
0.55/0.62	# Removed by relevancy pruning/SinE    : 0
0.55/0.62	# Initial clauses                      : 535
0.55/0.62	# Removed in clause preprocessing      : 158
0.55/0.62	# Initial clauses in saturation        : 377
0.55/0.62	# Processed clauses                    : 94
0.55/0.62	# ...of these trivial                  : 2
0.55/0.62	# ...subsumed                          : 9
0.55/0.62	# ...remaining for further processing  : 83
0.55/0.62	# Other redundant clauses eliminated   : 2
0.55/0.62	# Clauses deleted for lack of memory   : 0
0.55/0.62	# Backward-subsumed                    : 0
0.55/0.62	# Backward-rewritten                   : 0
0.55/0.62	# Generated clauses                    : 73
0.55/0.62	# ...of the previous two non-redundant : 61
0.55/0.62	# ...aggressively subsumed             : 0
0.55/0.62	# Contextual simplify-reflections      : 0
0.55/0.62	# Paramodulations                      : 57
0.55/0.62	# Factorizations                       : 0
0.55/0.62	# NegExts                              : 0
0.55/0.62	# Equation resolutions                 : 6
0.55/0.62	# Total rewrite steps                  : 7
0.55/0.62	# Propositional unsat checks           : 0
0.55/0.62	#    Propositional check models        : 0
0.55/0.62	#    Propositional check unsatisfiable : 0
0.55/0.62	#    Propositional clauses             : 0
0.55/0.62	#    Propositional clauses after purity: 0
0.55/0.62	#    Propositional unsat core size     : 0
0.55/0.62	#    Propositional preprocessing time  : 0.000
0.55/0.62	#    Propositional encoding time       : 0.000
0.55/0.62	#    Propositional solver time         : 0.000
0.55/0.62	#    Success case prop preproc time    : 0.000
0.55/0.62	#    Success case prop encoding time   : 0.000
0.55/0.62	#    Success case prop solver time     : 0.000
0.55/0.62	# Current number of processed clauses  : 83
0.55/0.62	#    Positive orientable unit clauses  : 39
0.55/0.62	#    Positive unorientable unit clauses: 0
0.55/0.62	#    Negative unit clauses             : 5
0.55/0.62	#    Non-unit-clauses                  : 39
0.55/0.62	# Current number of unprocessed clauses: 344
0.55/0.62	# ...number of literals in the above   : 1230
0.55/0.62	# Current number of archived formulas  : 0
0.55/0.62	# Current number of archived clauses   : 0
0.55/0.62	# Clause-clause subsumption calls (NU) : 335
0.55/0.62	# Rec. Clause-clause subsumption calls : 301
0.55/0.62	# Non-unit clause-clause subsumptions  : 5
0.55/0.62	# Unit Clause-clause subsumption calls : 164
0.55/0.62	# Rewrite failures with RHS unbound    : 0
0.55/0.62	# BW rewrite match attempts            : 3
0.55/0.62	# BW rewrite match successes           : 0
0.55/0.62	# Condensation attempts                : 94
0.55/0.62	# Condensation successes               : 0
0.55/0.62	# Termbank termtop insertions          : 55044
0.55/0.62	
0.55/0.62	# -------------------------------------------------
0.55/0.62	# User time                : 0.054 s
0.55/0.62	# System time              : 0.013 s
0.55/0.62	# Total time               : 0.066 s
0.55/0.62	# Maximum resident set size: 6420 pages
0.55/0.63	
0.55/0.63	# -------------------------------------------------
0.55/0.63	# User time                : 0.076 s
0.55/0.63	# System time              : 0.024 s
0.55/0.63	# Total time               : 0.099 s
0.55/0.63	# Maximum resident set size: 2280 pages
0.83/0.63	% E---3.1 exiting
0.83/0.63	EOF