0.07/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : run_E %s %d THM
0.13/0.35	% Computer : n004.cluster.edu
0.13/0.35	% Model    : x86_64 x86_64
0.13/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.35	% Memory   : 8042.1875MB
0.13/0.35	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.35	% CPULimit   : 1440
0.13/0.35	% WCLimit    : 180
0.13/0.35	% DateTime   : Thu Jul  4 11:00:54 EDT 2024
0.13/0.35	% CPUTime    : 
0.23/0.51	Running higher-order theorem proving
0.23/0.57	Running: /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.h4oOyUtnFh/E---3.1_21833.p
0.43/0.68	# Version: 3.2.0-ho
0.43/0.68	# Preprocessing class: HSLMSMSMLLLCHSA.
0.43/0.68	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
0.43/0.68	# Starting pre_casc_4 with 720s (4) cores
0.43/0.68	# Starting full_lambda_6 with 180s (1) cores
0.43/0.68	# Starting sh10 with 180s (1) cores
0.43/0.68	# Starting post_as_ho9 with 180s (1) cores
0.43/0.68	# Starting post_as_ho8 with 180s (1) cores
0.43/0.68	# pre_casc_4 with pid 21911 completed with status 0
0.43/0.68	# Result found by pre_casc_4
0.43/0.68	# Preprocessing class: HSLMSMSMLLLCHSA.
0.43/0.68	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
0.43/0.68	# Starting pre_casc_4 with 720s (4) cores
0.43/0.68	# SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
0.43/0.68	# Search class: HGUSM-FSLM31-DHSMMSBN
0.43/0.68	# partial match(2): HGHSM-FSLM31-MHSMMSBN
0.43/0.68	# Scheduled 6 strats onto 4 cores with 720 seconds (720 total)
0.43/0.68	# Starting new_ho_10_cnf2 with 376s (1) cores
0.43/0.68	# Starting pre_casc_4 with 73s (1) cores
0.43/0.68	# Starting new_bool_3 with 65s (1) cores
0.43/0.68	# Starting ho_unfolding_7 with 65s (1) cores
0.43/0.68	# new_ho_10_cnf2 with pid 21916 completed with status 0
0.43/0.68	# Result found by new_ho_10_cnf2
0.43/0.68	# Preprocessing class: HSLMSMSMLLLCHSA.
0.43/0.68	# Scheduled 5 strats onto 8 cores with 180 seconds (1440 total)
0.43/0.68	# Starting pre_casc_4 with 720s (4) cores
0.43/0.68	# SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
0.43/0.68	# Search class: HGUSM-FSLM31-DHSMMSBN
0.43/0.68	# partial match(2): HGHSM-FSLM31-MHSMMSBN
0.43/0.68	# Scheduled 6 strats onto 4 cores with 720 seconds (720 total)
0.43/0.68	# Starting new_ho_10_cnf2 with 376s (1) cores
0.43/0.68	# Preprocessing time       : 0.004 s
0.43/0.68	# Presaturation interreduction done
0.43/0.68	
0.43/0.68	# Proof found!
0.43/0.68	# SZS status Theorem
0.43/0.68	# SZS output start CNFRefutation
0.43/0.68	thf(decl_22, type, is_of: $i > ($i > $o) > $o).
0.43/0.68	thf(decl_23, type, all_of: ($i > $o) > ($i > $o) > $o).
0.43/0.68	thf(decl_25, type, in: $i > $i > $o).
0.43/0.68	thf(decl_77, type, e_is: $i > $i > $i > $o).
0.43/0.68	thf(decl_123, type, nat: $i).
0.43/0.68	thf(decl_124, type, n_is: $i > $i > $o).
0.43/0.68	thf(decl_142, type, n_pl: $i > $i > $i).
0.43/0.68	thf(decl_162, type, n_ts: $i > $i > $i).
0.43/0.68	thf(decl_190, type, n_fr: $i > $i > $i).
0.43/0.68	thf(decl_191, type, num: $i > $i).
0.43/0.68	thf(decl_192, type, den: $i > $i).
0.43/0.68	thf(decl_193, type, n_eq: $i > $i > $o).
0.43/0.68	thf(decl_198, type, n_pf: $i > $i > $i).
0.43/0.68	thf(decl_199, type, esk1_0: $i).
0.43/0.68	thf(decl_200, type, esk2_0: $i).
0.43/0.68	thf(decl_201, type, esk3_0: $i).
0.43/0.68	thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox2/tmp/tmp.h4oOyUtnFh/E---3.1_21833.p', def_e_is)).
0.43/0.68	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.h4oOyUtnFh/E---3.1_21833.p', def_all_of)).
0.43/0.68	thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.h4oOyUtnFh/E---3.1_21833.p', def_is_of)).
0.43/0.68	thf(def_n_eq, axiom, ((n_eq)=(^[X1:$i, X218:$i]:((n_is @ (n_ts @ (num @ X1) @ (den @ X218)) @ (n_ts @ (num @ X218) @ (den @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.h4oOyUtnFh/E---3.1_21833.p', def_n_eq)).
0.43/0.68	thf(def_n_is, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox2/tmp/tmp.h4oOyUtnFh/E---3.1_21833.p', def_n_is)).
0.43/0.68	thf(satz57a, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X381:$i]:((in @ X381 @ nat))) @ (^[X382:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ nat))) @ (^[X4:$i]:((n_eq @ (n_fr @ (n_pl @ X1 @ X382) @ X4) @ (n_pf @ (n_fr @ X1 @ X4) @ (n_fr @ X382 @ X4)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4oOyUtnFh/E---3.1_21833.p', satz57a)).
0.43/0.68	thf(satz57, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X440:$i]:((in @ X440 @ nat))) @ (^[X441:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ nat))) @ (^[X4:$i]:((n_eq @ (n_pf @ (n_fr @ X1 @ X4) @ (n_fr @ X441 @ X4)) @ (n_fr @ (n_pl @ X1 @ X441) @ X4))))))))))), file('/export/starexec/sandbox2/tmp/tmp.h4oOyUtnFh/E---3.1_21833.p', satz57)).
0.43/0.68	thf(c_0_7, plain, ((e_is)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])).
0.43/0.68	thf(c_0_8, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])).
0.43/0.68	thf(c_0_9, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])).
0.43/0.68	thf(c_0_10, plain, ((n_eq)=(^[Z0/* 19 */:$i, Z1:$i]:((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_ts @ (num @ Z1) @ (den @ Z0))))))), inference(fof_simplification,[status(thm)],[def_n_eq])).
0.43/0.68	thf(c_0_11, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_7])).
0.43/0.68	thf(c_0_12, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_8, c_0_9])).
0.43/0.68	thf(c_0_13, plain, ((n_eq)=(^[Z0/* 19 */:$i, Z1:$i]:((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_ts @ (num @ Z1) @ (den @ Z0))))))), inference(apply_def,[status(thm)],[c_0_10, c_0_11])).
0.43/0.68	thf(c_0_14, negated_conjecture, ~(![X608:$i]:(((in @ X608 @ nat)=>![X607:$i]:(((in @ X607 @ nat)=>![X606:$i]:(((in @ X606 @ nat)=>((n_ts @ (num @ (n_fr @ (n_pl @ X608 @ X607) @ X606)) @ (den @ (n_pf @ (n_fr @ X608 @ X606) @ (n_fr @ X607 @ X606))))=(n_ts @ (num @ (n_pf @ (n_fr @ X608 @ X606) @ (n_fr @ X607 @ X606))) @ (den @ (n_fr @ (n_pl @ X608 @ X607) @ X606))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz57a])]), c_0_12]), c_0_13])).
0.43/0.68	thf(c_0_15, plain, ![X621:$i]:(((in @ X621 @ nat)=>![X620:$i]:(((in @ X620 @ nat)=>![X619:$i]:(((in @ X619 @ nat)=>((n_ts @ (num @ (n_pf @ (n_fr @ X621 @ X619) @ (n_fr @ X620 @ X619))) @ (den @ (n_fr @ (n_pl @ X621 @ X620) @ X619)))=(n_ts @ (num @ (n_fr @ (n_pl @ X621 @ X620) @ X619)) @ (den @ (n_pf @ (n_fr @ X621 @ X619) @ (n_fr @ X620 @ X619))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz57]), c_0_12]), c_0_13])).
0.43/0.68	thf(c_0_16, negated_conjecture, ((in @ esk1_0 @ nat)&((in @ esk2_0 @ nat)&((in @ esk3_0 @ nat)&((n_ts @ (num @ (n_fr @ (n_pl @ esk1_0 @ esk2_0) @ esk3_0)) @ (den @ (n_pf @ (n_fr @ esk1_0 @ esk3_0) @ (n_fr @ esk2_0 @ esk3_0))))!=(n_ts @ (num @ (n_pf @ (n_fr @ esk1_0 @ esk3_0) @ (n_fr @ esk2_0 @ esk3_0))) @ (den @ (n_fr @ (n_pl @ esk1_0 @ esk2_0) @ esk3_0))))))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])).
0.43/0.68	thf(c_0_17, plain, ![X895:$i, X896:$i, X897:$i]:((~(in @ X895 @ nat)|(~(in @ X896 @ nat)|(~(in @ X897 @ nat)|((n_ts @ (num @ (n_pf @ (n_fr @ X895 @ X897) @ (n_fr @ X896 @ X897))) @ (den @ (n_fr @ (n_pl @ X895 @ X896) @ X897)))=(n_ts @ (num @ (n_fr @ (n_pl @ X895 @ X896) @ X897)) @ (den @ (n_pf @ (n_fr @ X895 @ X897) @ (n_fr @ X896 @ X897))))))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])).
0.43/0.68	thf(c_0_18, negated_conjecture, ((n_ts @ (num @ (n_fr @ (n_pl @ esk1_0 @ esk2_0) @ esk3_0)) @ (den @ (n_pf @ (n_fr @ esk1_0 @ esk3_0) @ (n_fr @ esk2_0 @ esk3_0))))!=(n_ts @ (num @ (n_pf @ (n_fr @ esk1_0 @ esk3_0) @ (n_fr @ esk2_0 @ esk3_0))) @ (den @ (n_fr @ (n_pl @ esk1_0 @ esk2_0) @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_16])).
0.43/0.68	thf(c_0_19, plain, ![X1:$i, X4:$i, X5:$i]:((((n_ts @ (num @ (n_pf @ (n_fr @ X1 @ X5) @ (n_fr @ X4 @ X5))) @ (den @ (n_fr @ (n_pl @ X1 @ X4) @ X5)))=(n_ts @ (num @ (n_fr @ (n_pl @ X1 @ X4) @ X5)) @ (den @ (n_pf @ (n_fr @ X1 @ X5) @ (n_fr @ X4 @ X5)))))|~((in @ X1 @ nat))|~((in @ X4 @ nat))|~((in @ X5 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_17])).
0.43/0.68	thf(c_0_20, negated_conjecture, (in @ esk3_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_16])).
0.43/0.68	thf(c_0_21, negated_conjecture, (in @ esk2_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_16])).
0.43/0.68	thf(c_0_22, negated_conjecture, (in @ esk1_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_16])).
0.43/0.68	thf(c_0_23, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_20]), c_0_21]), c_0_22])]), ['proof']).
0.43/0.68	# SZS output end CNFRefutation
0.43/0.68	# Parsed axioms                        : 577
0.43/0.68	# Removed by relevancy pruning/SinE    : 417
0.43/0.68	# Initial clauses                      : 195
0.43/0.68	# Removed in clause preprocessing      : 13
0.43/0.68	# Initial clauses in saturation        : 182
0.43/0.68	# Processed clauses                    : 415
0.43/0.68	# ...of these trivial                  : 10
0.43/0.68	# ...subsumed                          : 54
0.43/0.68	# ...remaining for further processing  : 351
0.43/0.68	# Other redundant clauses eliminated   : 25
0.43/0.68	# Clauses deleted for lack of memory   : 0
0.43/0.68	# Backward-subsumed                    : 0
0.43/0.68	# Backward-rewritten                   : 6
0.43/0.68	# Generated clauses                    : 1122
0.43/0.68	# ...of the previous two non-redundant : 1038
0.43/0.68	# ...aggressively subsumed             : 0
0.43/0.68	# Contextual simplify-reflections      : 0
0.43/0.68	# Paramodulations                      : 1065
0.43/0.68	# Factorizations                       : 2
0.43/0.68	# NegExts                              : 0
0.43/0.68	# Equation resolutions                 : 32
0.43/0.68	# Disequality decompositions           : 0
0.43/0.68	# Total rewrite steps                  : 416
0.43/0.68	# ...of those cached                   : 354
0.43/0.68	# Propositional unsat checks           : 0
0.43/0.68	#    Propositional check models        : 0
0.43/0.68	#    Propositional check unsatisfiable : 0
0.43/0.68	#    Propositional clauses             : 0
0.43/0.68	#    Propositional clauses after purity: 0
0.43/0.68	#    Propositional unsat core size     : 0
0.43/0.68	#    Propositional preprocessing time  : 0.000
0.43/0.68	#    Propositional encoding time       : 0.000
0.43/0.68	#    Propositional solver time         : 0.000
0.43/0.68	#    Success case prop preproc time    : 0.000
0.43/0.68	#    Success case prop encoding time   : 0.000
0.43/0.68	#    Success case prop solver time     : 0.000
0.43/0.68	# Current number of processed clauses  : 194
0.43/0.68	#    Positive orientable unit clauses  : 66
0.43/0.68	#    Positive unorientable unit clauses: 0
0.43/0.68	#    Negative unit clauses             : 25
0.43/0.68	#    Non-unit-clauses                  : 103
0.43/0.68	# Current number of unprocessed clauses: 923
0.43/0.68	# ...number of literals in the above   : 3847
0.43/0.68	# Current number of archived formulas  : 0
0.43/0.68	# Current number of archived clauses   : 148
0.43/0.68	# Clause-clause subsumption calls (NU) : 9288
0.43/0.68	# Rec. Clause-clause subsumption calls : 1575
0.43/0.68	# Non-unit clause-clause subsumptions  : 47
0.43/0.68	# Unit Clause-clause subsumption calls : 1041
0.43/0.68	# Rewrite failures with RHS unbound    : 0
0.43/0.68	# BW rewrite match attempts            : 29
0.43/0.68	# BW rewrite match successes           : 6
0.43/0.68	# Condensation attempts                : 415
0.43/0.68	# Condensation successes               : 0
0.43/0.68	# Termbank termtop insertions          : 80323
0.43/0.68	# Search garbage collected termcells   : 17173
0.43/0.68	
0.43/0.68	# -------------------------------------------------
0.43/0.68	# User time                : 0.060 s
0.43/0.68	# System time              : 0.017 s
0.43/0.68	# Total time               : 0.076 s
0.43/0.68	# Maximum resident set size: 5392 pages
0.43/0.68	
0.43/0.68	# -------------------------------------------------
0.43/0.68	# User time                : 0.182 s
0.43/0.68	# System time              : 0.036 s
0.43/0.68	# Total time               : 0.218 s
0.43/0.68	# Maximum resident set size: 2768 pages
0.43/0.68	% E---3.1 exiting
0.43/0.68	% E exiting
0.43/0.68	EOF