0.06/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.12	% Command    : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.11/0.33	% Computer : n011.cluster.edu
0.11/0.33	% Model    : x86_64 x86_64
0.11/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.33	% Memory   : 8042.1875MB
0.11/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.33	% CPULimit   : 1920
0.11/0.33	% WCLimit    : 240
0.11/0.33	% DateTime   : Wed Jul 30 09:19:19 EDT 2025
0.11/0.33	% CPUTime    : 
0.19/0.47	Running higher-order theorem proving
0.19/0.47	Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox/tmp/tmp.asm5zyzBPD/E---3.1_28710.p
16.39/2.52	# Version: 3.0.0-ho
16.39/2.52	# Preprocessing class: HSMSSMSSSSSNSFA.
16.39/2.52	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
16.39/2.52	# Starting new_ho_14 with 960s (4) cores
16.39/2.52	# Starting new_ho_13 with 480s (2) cores
16.39/2.52	# Starting new_ho_10_cnf2 with 240s (1) cores
16.39/2.52	# Starting new_bool_3 with 240s (1) cores
16.39/2.52	# new_ho_13 with pid 28789 completed with status 0
16.39/2.52	# Result found by new_ho_13
16.39/2.52	# Preprocessing class: HSMSSMSSSSSNSFA.
16.39/2.52	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
16.39/2.52	# Starting new_ho_14 with 960s (4) cores
16.39/2.52	# Starting new_ho_13 with 480s (2) cores
16.39/2.52	# No SInE strategy applied
16.39/2.52	# Search class: HGUSM-FFMF21-MSFFFSBN
16.39/2.52	# partial match(2): HGUSM-FFSF21-SSFFFSBN
16.39/2.52	# Scheduled 5 strats onto 2 cores with 480 seconds (480 total)
16.39/2.52	# Starting new_ho_14 with 289s (1) cores
16.39/2.52	# Starting new_ho_13 with 49s (1) cores
16.39/2.52	# new_ho_14 with pid 28795 completed with status 0
16.39/2.52	# Result found by new_ho_14
16.39/2.52	# Preprocessing class: HSMSSMSSSSSNSFA.
16.39/2.52	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
16.39/2.52	# Starting new_ho_14 with 960s (4) cores
16.39/2.52	# Starting new_ho_13 with 480s (2) cores
16.39/2.52	# No SInE strategy applied
16.39/2.52	# Search class: HGUSM-FFMF21-MSFFFSBN
16.39/2.52	# partial match(2): HGUSM-FFSF21-SSFFFSBN
16.39/2.52	# Scheduled 5 strats onto 2 cores with 480 seconds (480 total)
16.39/2.52	# Starting new_ho_14 with 289s (1) cores
16.39/2.52	# Preprocessing time       : 0.001 s
16.39/2.52	# Presaturation interreduction done
16.39/2.52	
16.39/2.52	# Proof found!
16.39/2.52	# SZS status Theorem
16.39/2.52	# SZS output start CNFRefutation
16.39/2.52	thf(decl_sort1, type, nat: $tType).
16.39/2.52	thf(decl_sort2, type, set: $tType).
16.39/2.52	thf(decl_23, type, x: nat).
16.39/2.52	thf(decl_24, type, y: nat).
16.39/2.52	thf(decl_25, type, pl: nat > nat > nat).
16.39/2.52	thf(decl_26, type, esti: nat > set > $o).
16.39/2.52	thf(decl_27, type, setof: (nat > $o) > set).
16.39/2.52	thf(decl_28, type, n_1: nat).
16.39/2.52	thf(decl_29, type, suc: nat > nat).
16.39/2.52	thf(decl_30, type, esk1_1: set > nat).
16.39/2.52	thf(ax5, axiom, ![X5:set]:(((![X3:nat]:((esti @ X3 @ X5))<=![X3:nat]:(((esti @ X3 @ X5)=>(esti @ (suc @ X3) @ X5))))<=(esti @ n_1 @ X5))), file('/export/starexec/sandbox/tmp/tmp.asm5zyzBPD/E---3.1_28710.p', ax5)).
16.39/2.52	thf(satz4c, axiom, ![X3:nat]:(((pl @ n_1 @ X3)=(suc @ X3))), file('/export/starexec/sandbox/tmp/tmp.asm5zyzBPD/E---3.1_28710.p', satz4c)).
16.39/2.52	thf(satz4a, axiom, ![X3:nat]:(((pl @ X3 @ n_1)=(suc @ X3))), file('/export/starexec/sandbox/tmp/tmp.asm5zyzBPD/E---3.1_28710.p', satz4a)).
16.39/2.52	thf(estii, axiom, ![X1:nat > $o, X2:nat]:(((esti @ X2 @ (setof @ X1))<=(X1 @ X2))), file('/export/starexec/sandbox/tmp/tmp.asm5zyzBPD/E---3.1_28710.p', estii)).
16.39/2.52	thf(satz6, conjecture, ((pl @ x @ y)=(pl @ y @ x)), file('/export/starexec/sandbox/tmp/tmp.asm5zyzBPD/E---3.1_28710.p', satz6)).
16.39/2.52	thf(satz4d, axiom, ![X3:nat, X4:nat]:(((pl @ (suc @ X3) @ X4)=(suc @ (pl @ X3 @ X4)))), file('/export/starexec/sandbox/tmp/tmp.asm5zyzBPD/E---3.1_28710.p', satz4d)).
16.39/2.52	thf(estie, axiom, ![X1:nat > $o, X2:nat]:(((esti @ X2 @ (setof @ X1))=>(X1 @ X2))), file('/export/starexec/sandbox/tmp/tmp.asm5zyzBPD/E---3.1_28710.p', estie)).
16.39/2.52	thf(satz4f, axiom, ![X3:nat, X4:nat]:(((suc @ (pl @ X3 @ X4))=(pl @ X3 @ (suc @ X4)))), file('/export/starexec/sandbox/tmp/tmp.asm5zyzBPD/E---3.1_28710.p', satz4f)).
16.39/2.52	thf(c_0_8, plain, ![X5:set]:(((esti @ n_1 @ X5)=>(![X3:nat]:(((esti @ X3 @ X5)=>(esti @ (suc @ X3) @ X5)))=>![X3:nat]:((esti @ X3 @ X5))))), inference(fof_simplification,[status(thm)],[ax5])).
16.39/2.52	thf(c_0_9, plain, ![X30:nat]:(((pl @ n_1 @ X30)=(suc @ X30))), inference(variable_rename,[status(thm)],[satz4c])).
16.39/2.52	thf(c_0_10, plain, ![X31:nat]:(((pl @ X31 @ n_1)=(suc @ X31))), inference(variable_rename,[status(thm)],[satz4a])).
16.39/2.52	thf(c_0_11, plain, ![X1:nat > $o, X2:nat]:(((X1 @ X2)=>(esti @ X2 @ (setof @ X1)))), inference(fof_simplification,[status(thm)],[estii])).
16.39/2.52	thf(c_0_12, negated_conjecture, ((pl @ x @ y)!=(pl @ y @ x)), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz6])])).
16.39/2.52	thf(c_0_13, plain, ![X23:set, X25:nat]:((((esti @ (esk1_1 @ X23) @ X23)|(esti @ X25 @ X23)|~(esti @ n_1 @ X23))&(~(esti @ (suc @ (esk1_1 @ X23)) @ X23)|(esti @ X25 @ X23)|~(esti @ n_1 @ X23)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])])).
16.39/2.52	thf(c_0_14, plain, ![X2:nat]:(((pl @ n_1 @ X2)=(suc @ X2))), inference(split_conjunct,[status(thm)],[c_0_9])).
16.39/2.52	thf(c_0_15, plain, ![X2:nat]:(((pl @ X2 @ n_1)=(suc @ X2))), inference(split_conjunct,[status(thm)],[c_0_10])).
16.39/2.52	thf(c_0_16, plain, ![X19:nat > $o, X20:nat]:((~(X19 @ X20)|(esti @ X20 @ (setof @ X19)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])).
16.39/2.52	thf(c_0_17, negated_conjecture, ((pl @ x @ y)!=(pl @ y @ x)), inference(fof_nnf,[status(thm)],[c_0_12])).
16.39/2.52	thf(c_0_18, plain, ![X26:nat, X27:nat]:(((pl @ (suc @ X26) @ X27)=(suc @ (pl @ X26 @ X27)))), inference(variable_rename,[status(thm)],[satz4d])).
16.39/2.52	thf(c_0_19, plain, ![X2:nat, X5:set]:(((esti @ X2 @ X5)|~((esti @ (suc @ (esk1_1 @ X5)) @ X5))|~((esti @ n_1 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_13])).
16.39/2.52	thf(c_0_20, plain, ![X2:nat]:(((pl @ X2 @ n_1)=(pl @ n_1 @ X2))), inference(rw,[status(thm)],[c_0_14, c_0_15])).
16.39/2.52	thf(c_0_21, plain, ![X1:nat > $o, X2:nat]:(((esti @ X2 @ (setof @ X1))|~((X1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_16])).
16.39/2.52	thf(c_0_22, negated_conjecture, ((pl @ x @ y)!=(pl @ y @ x)), inference(split_conjunct,[status(thm)],[c_0_17])).
16.39/2.52	thf(c_0_23, plain, ![X2:nat, X3:nat]:(((pl @ (suc @ X2) @ X3)=(suc @ (pl @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_18])).
16.39/2.52	thf(c_0_24, plain, ![X28:nat > $o, X29:nat]:((~(esti @ X29 @ (setof @ X28))|(X28 @ X29))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[estie])])])).
16.39/2.52	thf(c_0_25, plain, ![X2:nat, X5:set]:(((esti @ X2 @ X5)|~((esti @ (pl @ n_1 @ (esk1_1 @ X5)) @ X5))|~((esti @ n_1 @ X5)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_15]), c_0_20])).
16.39/2.52	thf(c_0_26, plain, ![X2:nat]:(((esti @ X2 @ (setof @ (^[Z0/* 3 */:nat]:(((pl @ x @ Z0)=(pl @ Z0 @ x))))))|((pl @ x @ X2)!=(pl @ X2 @ x)))), inference(trigger,[status(thm)],[inference(cn,[status(thm)],[]), c_0_21, c_0_22])).
16.39/2.52	thf(c_0_27, plain, ![X2:nat, X3:nat]:(((pl @ (pl @ X2 @ n_1) @ X3)=(pl @ n_1 @ (pl @ X2 @ X3)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_15]), c_0_20]), c_0_15])).
16.39/2.52	thf(c_0_28, plain, ![X21:nat, X22:nat]:(((suc @ (pl @ X21 @ X22))=(pl @ X21 @ (suc @ X22)))), inference(variable_rename,[status(thm)],[satz4f])).
16.39/2.52	thf(c_0_29, plain, ![X2:nat, X1:nat > $o]:(((X1 @ X2)|~((esti @ X2 @ (setof @ X1))))), inference(split_conjunct,[status(thm)],[c_0_24])).
16.39/2.52	thf(c_0_30, plain, ![X2:nat, X1:nat > $o]:(((esti @ X2 @ (setof @ X1))|~((X1 @ (pl @ n_1 @ (esk1_1 @ (setof @ X1)))))|~((esti @ n_1 @ (setof @ X1))))), inference(spm,[status(thm)],[c_0_25, c_0_21])).
16.39/2.52	thf(c_0_31, plain, (esti @ n_1 @ (setof @ (^[Z0/* 3 */:nat]:(((pl @ x @ Z0)=(pl @ Z0 @ x)))))), inference(spm,[status(thm)],[c_0_26, c_0_20])).
16.39/2.52	thf(c_0_32, plain, ![X2:nat, X3:nat]:(((pl @ (pl @ n_1 @ X2) @ X3)=(pl @ n_1 @ (pl @ X2 @ X3)))), inference(spm,[status(thm)],[c_0_27, c_0_20])).
16.39/2.52	thf(c_0_33, plain, ![X2:nat, X3:nat]:(((suc @ (pl @ X2 @ X3))=(pl @ X2 @ (suc @ X3)))), inference(split_conjunct,[status(thm)],[c_0_28])).
16.39/2.52	thf(c_0_34, plain, ![X2:nat, X5:set]:(((esti @ (esk1_1 @ X5) @ X5)|(esti @ X2 @ X5)|~((esti @ n_1 @ X5)))), inference(split_conjunct,[status(thm)],[c_0_13])).
16.39/2.52	thf(c_0_35, plain, ![X2:nat]:((((pl @ x @ X2)=(pl @ X2 @ x))|~((esti @ X2 @ (setof @ (^[Z0/* 3 */:nat]:(((pl @ x @ Z0)=(pl @ Z0 @ x))))))))), inference(trigger,[status(thm)],[inference(cn,[status(thm)],[]), c_0_29, c_0_22])).
16.39/2.52	thf(c_0_36, plain, ![X2:nat]:(((esti @ X2 @ (setof @ (^[Z0/* 3 */:nat]:(((pl @ x @ Z0)=(pl @ Z0 @ x))))))|((pl @ n_1 @ (pl @ (esk1_1 @ (setof @ (^[Z0/* 3 */:nat]:(((pl @ x @ Z0)=(pl @ Z0 @ x)))))) @ x))!=(pl @ x @ (pl @ n_1 @ (esk1_1 @ (setof @ (^[Z0/* 3 */:nat]:(((pl @ x @ Z0)=(pl @ Z0 @ x))))))))))), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31])]), c_0_32])).
16.39/2.52	thf(c_0_37, plain, ![X2:nat, X3:nat]:(((pl @ n_1 @ (pl @ X2 @ X3))=(pl @ X2 @ (pl @ X3 @ n_1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_15]), c_0_20]), c_0_15])).
16.39/2.52	thf(c_0_38, plain, ![X2:nat]:(((esti @ (esk1_1 @ (setof @ (^[Z0/* 3 */:nat]:(((pl @ x @ Z0)=(pl @ Z0 @ x)))))) @ (setof @ (^[Z0/* 3 */:nat]:(((pl @ x @ Z0)=(pl @ Z0 @ x))))))|(esti @ X2 @ (setof @ (^[Z0/* 3 */:nat]:(((pl @ x @ Z0)=(pl @ Z0 @ x)))))))), inference(spm,[status(thm)],[c_0_34, c_0_31])).
16.39/2.52	thf(c_0_39, negated_conjecture, ~((esti @ y @ (setof @ (^[Z0/* 3 */:nat]:(((pl @ x @ Z0)=(pl @ Z0 @ x))))))), inference(spm,[status(thm)],[c_0_22, c_0_35])).
16.39/2.52	thf(c_0_40, plain, ![X2:nat]:((esti @ X2 @ (setof @ (^[Z0/* 3 */:nat]:(((pl @ x @ Z0)=(pl @ Z0 @ x))))))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_35]), c_0_37]), c_0_20])]), c_0_38])).
16.39/2.52	thf(c_0_41, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40])]), ['proof']).
16.39/2.52	# SZS output end CNFRefutation
16.39/2.52	# Parsed axioms                        : 17
16.39/2.52	# Removed by relevancy pruning/SinE    : 0
16.39/2.52	# Initial clauses                      : 18
16.39/2.52	# Removed in clause preprocessing      : 9
16.39/2.52	# Initial clauses in saturation        : 17
16.39/2.52	# Processed clauses                    : 5466
16.39/2.52	# ...of these trivial                  : 114
16.39/2.52	# ...subsumed                          : 4794
16.39/2.52	# ...remaining for further processing  : 558
16.39/2.52	# Other redundant clauses eliminated   : 0
16.39/2.52	# Clauses deleted for lack of memory   : 0
16.39/2.52	# Backward-subsumed                    : 19
16.39/2.52	# Backward-rewritten                   : 125
16.39/2.52	# Generated clauses                    : 147938
16.39/2.52	# ...of the previous two non-redundant : 137387
16.39/2.52	# ...aggressively subsumed             : 0
16.39/2.52	# Contextual simplify-reflections      : 1
16.39/2.52	# Paramodulations                      : 147918
16.39/2.52	# Factorizations                       : 8
16.39/2.52	# NegExts                              : 0
16.39/2.52	# Equation resolutions                 : 12
16.39/2.52	# Disequality decompositions           : 0
16.39/2.52	# Total rewrite steps                  : 525305
16.39/2.52	# ...of those cached                   : 521242
16.39/2.52	# Propositional unsat checks           : 0
16.39/2.52	#    Propositional check models        : 0
16.39/2.52	#    Propositional check unsatisfiable : 0
16.39/2.52	#    Propositional clauses             : 0
16.39/2.52	#    Propositional clauses after purity: 0
16.39/2.52	#    Propositional unsat core size     : 0
16.39/2.52	#    Propositional preprocessing time  : 0.000
16.39/2.52	#    Propositional encoding time       : 0.000
16.39/2.52	#    Propositional solver time         : 0.000
16.39/2.52	#    Success case prop preproc time    : 0.000
16.39/2.52	#    Success case prop encoding time   : 0.000
16.39/2.52	#    Success case prop solver time     : 0.000
16.39/2.52	# Current number of processed clauses  : 397
16.39/2.52	#    Positive orientable unit clauses  : 29
16.39/2.52	#    Positive unorientable unit clauses: 49
16.39/2.52	#    Negative unit clauses             : 4
16.39/2.52	#    Non-unit-clauses                  : 315
16.39/2.52	# Current number of unprocessed clauses: 131522
16.39/2.52	# ...number of literals in the above   : 305564
16.39/2.52	# Current number of archived formulas  : 0
16.39/2.52	# Current number of archived clauses   : 161
16.39/2.52	# Clause-clause subsumption calls (NU) : 81615
16.39/2.52	# Rec. Clause-clause subsumption calls : 80172
16.39/2.52	# Non-unit clause-clause subsumptions  : 1722
16.39/2.52	# Unit Clause-clause subsumption calls : 1368
16.39/2.52	# Rewrite failures with RHS unbound    : 0
16.39/2.52	# BW rewrite match attempts            : 3890
16.39/2.52	# BW rewrite match successes           : 422
16.39/2.52	# Condensation attempts                : 0
16.39/2.52	# Condensation successes               : 0
16.39/2.52	# Termbank termtop insertions          : 5178428
16.39/2.52	# Search garbage collected termcells   : 141
16.39/2.52	
16.39/2.52	# -------------------------------------------------
16.39/2.52	# User time                : 1.954 s
16.39/2.52	# System time              : 0.052 s
16.39/2.52	# Total time               : 2.006 s
16.39/2.52	# Maximum resident set size: 1856 pages
16.39/2.52	
16.39/2.52	# -------------------------------------------------
16.39/2.52	# User time                : 3.927 s
16.39/2.52	# System time              : 0.087 s
16.39/2.52	# Total time               : 4.014 s
16.39/2.52	# Maximum resident set size: 1740 pages
16.39/2.52	% E exiting
16.39/2.53	% E exiting
16.39/2.53	EOF