0.00/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.12	% Command    : run_E %s %d THM
0.11/0.32	% Computer : n025.cluster.edu
0.11/0.32	% Model    : x86_64 x86_64
0.11/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.32	% Memory   : 8042.1875MB
0.11/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.32	% CPULimit   : 960
0.11/0.32	% WCLimit    : 120
0.11/0.32	% DateTime   : Tue Aug  9 03:55:26 EDT 2022
0.11/0.33	% CPUTime    : 
0.18/0.46	Running higher-order on 8 cores theorem proving
0.18/0.46	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=120 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.18/0.46	# Version: 3.0pre003-ho
0.18/0.47	# Preprocessing class: HSMSSMSSMLMNHSN.
0.18/0.47	# Scheduled 4 strats onto 8 cores with 120 seconds (960 total)
0.18/0.47	# Starting ho_unfolding_3 with 600s (5) cores
0.18/0.47	# Starting ehoh_best2_full_lfho with 120s (1) cores
0.18/0.47	# Starting almost_fo_3_lam with 120s (1) cores
0.18/0.47	# Starting post_as_ho1 with 120s (1) cores
0.18/0.47	# ehoh_best2_full_lfho with pid 26975 completed with status 0
0.18/0.47	# Result found by ehoh_best2_full_lfho
0.18/0.47	# Preprocessing class: HSMSSMSSMLMNHSN.
0.18/0.47	# Scheduled 4 strats onto 8 cores with 120 seconds (960 total)
0.18/0.47	# Starting ho_unfolding_3 with 600s (5) cores
0.18/0.47	# Starting ehoh_best2_full_lfho with 120s (1) cores
0.18/0.47	# No SInE strategy applied
0.18/0.47	# Search class: HHHNM-FFSF21-SHSSMFNN
0.18/0.47	# Scheduled 6 strats onto 1 cores with 120 seconds (120 total)
0.18/0.47	# Starting new_ho_10 with 65s (1) cores
0.18/0.47	# new_ho_10 with pid 26978 completed with status 0
0.18/0.47	# Result found by new_ho_10
0.18/0.47	# Preprocessing class: HSMSSMSSMLMNHSN.
0.18/0.47	# Scheduled 4 strats onto 8 cores with 120 seconds (960 total)
0.18/0.47	# Starting ho_unfolding_3 with 600s (5) cores
0.18/0.47	# Starting ehoh_best2_full_lfho with 120s (1) cores
0.18/0.47	# No SInE strategy applied
0.18/0.47	# Search class: HHHNM-FFSF21-SHSSMFNN
0.18/0.47	# Scheduled 6 strats onto 1 cores with 120 seconds (120 total)
0.18/0.47	# Starting new_ho_10 with 65s (1) cores
0.18/0.47	# Preprocessing time       : 0.002 s
0.18/0.47	# Presaturation interreduction done
0.18/0.47	
0.18/0.47	# Proof found!
0.18/0.47	# SZS status Theorem
0.18/0.47	# SZS output start CNFRefutation
0.18/0.47	thf(decl_22, type, qmltpeq: mu > mu > $i > $o).
0.18/0.47	thf(decl_23, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
0.18/0.47	thf(decl_24, type, mnot: ($i > $o) > $i > $o).
0.18/0.47	thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o).
0.18/0.47	thf(decl_26, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
0.18/0.47	thf(decl_27, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
0.18/0.47	thf(decl_28, type, mtrue: $i > $o).
0.18/0.47	thf(decl_29, type, mfalse: $i > $o).
0.18/0.47	thf(decl_30, type, mand: ($i > $o) > ($i > $o) > $i > $o).
0.18/0.47	thf(decl_31, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
0.18/0.47	thf(decl_32, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
0.18/0.47	thf(decl_33, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
0.18/0.47	thf(decl_34, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
0.18/0.47	thf(decl_35, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
0.18/0.47	thf(decl_36, type, exists_in_world: mu > $i > $o).
0.18/0.47	thf(decl_37, type, mforall_ind: (mu > $i > $o) > $i > $o).
0.18/0.47	thf(decl_38, type, mexists_ind: (mu > $i > $o) > $i > $o).
0.18/0.47	thf(decl_39, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
0.18/0.47	thf(decl_40, type, mreflexive: ($i > $i > $o) > $o).
0.18/0.47	thf(decl_41, type, msymmetric: ($i > $i > $o) > $o).
0.18/0.47	thf(decl_42, type, mserial: ($i > $i > $o) > $o).
0.18/0.47	thf(decl_43, type, mtransitive: ($i > $i > $o) > $o).
0.18/0.47	thf(decl_44, type, meuclidean: ($i > $i > $o) > $o).
0.18/0.47	thf(decl_45, type, mpartially_functional: ($i > $i > $o) > $o).
0.18/0.47	thf(decl_46, type, mfunctional: ($i > $i > $o) > $o).
0.18/0.47	thf(decl_47, type, mweakly_dense: ($i > $i > $o) > $o).
0.18/0.47	thf(decl_48, type, mweakly_connected: ($i > $i > $o) > $o).
0.18/0.47	thf(decl_49, type, mweakly_directed: ($i > $i > $o) > $o).
0.18/0.47	thf(decl_50, type, mvalid: ($i > $o) > $o).
0.18/0.47	thf(decl_51, type, msatisfiable: ($i > $o) > $o).
0.18/0.47	thf(decl_52, type, mcountersatisfiable: ($i > $o) > $o).
0.18/0.47	thf(decl_53, type, minvalid: ($i > $o) > $o).
0.18/0.47	thf(decl_54, type, rel_s4: $i > $i > $o).
0.18/0.47	thf(decl_55, type, mbox_s4: ($i > $o) > $i > $o).
0.18/0.47	thf(decl_56, type, mdia_s4: ($i > $o) > $i > $o).
0.18/0.47	thf(decl_57, type, teach: mu > mu > $i > $o).
0.18/0.47	thf(decl_58, type, sue: mu).
0.18/0.47	thf(decl_59, type, psych: mu).
0.18/0.47	thf(decl_60, type, mary: mu).
0.18/0.47	thf(decl_61, type, math: mu).
0.18/0.47	thf(decl_62, type, john: mu).
0.18/0.47	thf(decl_63, type, cs: mu).
0.18/0.47	thf(decl_64, type, esk1_1: $i > mu).
0.18/0.47	thf(decl_65, type, esk2_0: $i).
0.18/0.47	thf(decl_66, type, esk3_0: $i).
0.18/0.47	thf(decl_67, type, esk4_2: $i > $i > mu).
0.18/0.47	thf(mexists_ind, axiom, ((mexists_ind)=(^[X12:mu > $i > $o]:(mnot @ (mforall_ind @ (^[X13:mu]:(mnot @ (X12 @ X13))))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax', mexists_ind)).
0.18/0.47	thf(mnot, axiom, ((mnot)=(^[X4:$i > $o, X3:$i]:(~((X4 @ X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax', mnot)).
0.18/0.47	thf(mforall_ind, axiom, ((mforall_ind)=(^[X10:mu > $i > $o, X3:$i]:(![X11:mu]:(((exists_in_world @ X11 @ X3)=>(X10 @ X11 @ X3)))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax', mforall_ind)).
0.18/0.47	thf(mand, axiom, ((mand)=(^[X4:$i > $o, X5:$i > $o]:(mnot @ (mor @ (mnot @ X4) @ (mnot @ X5))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax', mand)).
0.18/0.47	thf(mor, axiom, ((mor)=(^[X4:$i > $o, X5:$i > $o, X3:$i]:(((X4 @ X3)|(X5 @ X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax', mor)).
0.18/0.47	thf(mvalid, axiom, ((mvalid)=(^[X4:$i > $o]:(![X3:$i]:((X4 @ X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax', mvalid)).
0.18/0.47	thf(mbox_s4, axiom, ((mbox_s4)=(^[X4:$i > $o, X3:$i]:(![X7:$i]:((~((rel_s4 @ X3 @ X7))|(X4 @ X7)))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^5.ax', mbox_s4)).
0.18/0.47	thf(query, conjecture, (mvalid @ (mbox_s4 @ (mexists_ind @ (^[X20:mu]:(teach @ X20 @ cs))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', query)).
0.18/0.47	thf(db, axiom, (mvalid @ (mbox_s4 @ (mand @ (teach @ john @ math) @ (mand @ (mexists_ind @ (^[X21:mu]:(teach @ X21 @ cs))) @ (mand @ (teach @ mary @ psych) @ (teach @ sue @ psych)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', db)).
0.18/0.47	thf(c_0_9, plain, ((mexists_ind)=(^[Z0:mu > $i > $o, Z1:$i]:(~((![X34:mu]:(((exists_in_world @ X34 @ Z1)=>(~((Z0 @ X34 @ Z1)))))))))), inference(fof_simplification,[status(thm)],[mexists_ind])).
0.18/0.47	thf(c_0_10, plain, ((mnot)=(^[Z0:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])).
0.18/0.47	thf(c_0_11, plain, ((mforall_ind)=(^[Z0:mu > $i > $o, Z1:$i]:(![X11:mu]:(((exists_in_world @ X11 @ Z1)=>(Z0 @ X11 @ Z1)))))), inference(fof_simplification,[status(thm)],[mforall_ind])).
0.18/0.47	thf(c_0_12, plain, ((mand)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~((((~((Z0 @ Z2)))|(~((Z1 @ Z2))))))))), inference(fof_simplification,[status(thm)],[mand])).
0.18/0.47	thf(c_0_13, plain, ((mor)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])).
0.18/0.47	thf(c_0_14, plain, ((mexists_ind)=(^[Z0:mu > $i > $o, Z1:$i]:(~((![X34:mu]:(((exists_in_world @ X34 @ Z1)=>(~((Z0 @ X34 @ Z1)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_9, c_0_10]), c_0_11])).
0.18/0.47	thf(c_0_15, plain, ((mvalid)=(^[Z0:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])).
0.18/0.47	thf(c_0_16, plain, ((mbox_s4)=(^[Z0:$i > $o, Z1:$i]:(![X7:$i]:((~((rel_s4 @ Z1 @ X7))|(Z0 @ X7)))))), inference(fof_simplification,[status(thm)],[mbox_s4])).
0.18/0.47	thf(c_0_17, plain, ((mand)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~((((~((Z0 @ Z2)))|(~((Z1 @ Z2))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_12, c_0_10]), c_0_13])).
0.18/0.47	thf(c_0_18, negated_conjecture, ~(![X43:$i, X42:$i]:((~(rel_s4 @ X43 @ X42)|~(![X41:mu]:(((exists_in_world @ X41 @ X42)=>~(teach @ X41 @ cs @ X42))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[query])]), c_0_14]), c_0_15]), c_0_16])])).
0.18/0.47	thf(c_0_19, plain, ![X46:$i, X45:$i]:((~(rel_s4 @ X46 @ X45)|~((~(teach @ john @ math @ X45)|~(~((~(~(![X44:mu]:(((exists_in_world @ X44 @ X45)=>~(teach @ X44 @ cs @ X45)))))|~(~((~(teach @ mary @ psych @ X45)|~(teach @ sue @ psych @ X45))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[db]), c_0_17]), c_0_14]), c_0_15]), c_0_16])])).
0.18/0.47	thf(c_0_20, negated_conjecture, ![X61:mu]:(((rel_s4 @ esk2_0 @ esk3_0)&(~(exists_in_world @ X61 @ esk3_0)|~(teach @ X61 @ cs @ esk3_0)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])).
0.18/0.47	thf(c_0_21, plain, ![X62:$i, X63:$i]:((((teach @ john @ math @ X63)|~(rel_s4 @ X62 @ X63))&((((exists_in_world @ (esk4_2 @ X62 @ X63) @ X63)|~(rel_s4 @ X62 @ X63))&((teach @ (esk4_2 @ X62 @ X63) @ cs @ X63)|~(rel_s4 @ X62 @ X63)))&(((teach @ mary @ psych @ X63)|~(rel_s4 @ X62 @ X63))&((teach @ sue @ psych @ X63)|~(rel_s4 @ X62 @ X63)))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])).
0.18/0.47	thf(c_0_22, negated_conjecture, ![X11:mu]:((~((exists_in_world @ X11 @ esk3_0))|~((teach @ X11 @ cs @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_20])).
0.18/0.47	thf(c_0_23, plain, ![X3:$i, X7:$i]:(((teach @ (esk4_2 @ X3 @ X7) @ cs @ X7)|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_21])).
0.18/0.47	thf(c_0_24, plain, ![X3:$i, X7:$i]:(((exists_in_world @ (esk4_2 @ X3 @ X7) @ X7)|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_21])).
0.18/0.47	thf(c_0_25, negated_conjecture, (rel_s4 @ esk2_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_20])).
0.18/0.47	thf(c_0_26, negated_conjecture, ![X3:$i]:(~((rel_s4 @ X3 @ esk3_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])).
0.18/0.47	thf(c_0_27, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_25, c_0_26]), ['proof']).
0.18/0.47	# SZS output end CNFRefutation
0.18/0.47	# Parsed axioms                        : 87
0.18/0.47	# Removed by relevancy pruning/SinE    : 0
0.18/0.47	# Initial clauses                      : 60
0.18/0.47	# Removed in clause preprocessing      : 43
0.18/0.47	# Initial clauses in saturation        : 17
0.18/0.47	# Processed clauses                    : 40
0.18/0.47	# ...of these trivial                  : 0
0.18/0.47	# ...subsumed                          : 0
0.18/0.47	# ...remaining for further processing  : 40
0.18/0.47	# Other redundant clauses eliminated   : 0
0.18/0.47	# Clauses deleted for lack of memory   : 0
0.18/0.47	# Backward-subsumed                    : 0
0.18/0.47	# Backward-rewritten                   : 0
0.18/0.47	# Generated clauses                    : 22
0.18/0.47	# ...of the previous two non-redundant : 11
0.18/0.47	# ...aggressively subsumed             : 0
0.18/0.47	# Contextual simplify-reflections      : 1
0.18/0.47	# Paramodulations                      : 21
0.18/0.47	# Factorizations                       : 0
0.18/0.47	# NegExts                              : 0
0.18/0.47	# Equation resolutions                 : 0
0.18/0.47	# Propositional unsat checks           : 0
0.18/0.47	#    Propositional check models        : 0
0.18/0.47	#    Propositional check unsatisfiable : 0
0.18/0.47	#    Propositional clauses             : 0
0.18/0.47	#    Propositional clauses after purity: 0
0.18/0.47	#    Propositional unsat core size     : 0
0.18/0.47	#    Propositional preprocessing time  : 0.000
0.18/0.47	#    Propositional encoding time       : 0.000
0.18/0.47	#    Propositional solver time         : 0.000
0.18/0.47	#    Success case prop preproc time    : 0.000
0.18/0.47	#    Success case prop encoding time   : 0.000
0.18/0.47	#    Success case prop solver time     : 0.000
0.18/0.47	# Current number of processed clauses  : 22
0.18/0.47	#    Positive orientable unit clauses  : 11
0.18/0.47	#    Positive unorientable unit clauses: 0
0.18/0.47	#    Negative unit clauses             : 1
0.18/0.47	#    Non-unit-clauses                  : 10
0.18/0.47	# Current number of unprocessed clauses: 5
0.18/0.47	# ...number of literals in the above   : 6
0.18/0.47	# Current number of archived formulas  : 0
0.18/0.47	# Current number of archived clauses   : 18
0.18/0.47	# Clause-clause subsumption calls (NU) : 6
0.18/0.47	# Rec. Clause-clause subsumption calls : 6
0.18/0.47	# Non-unit clause-clause subsumptions  : 1
0.18/0.47	# Unit Clause-clause subsumption calls : 5
0.18/0.47	# Rewrite failures with RHS unbound    : 0
0.18/0.47	# BW rewrite match attempts            : 4
0.18/0.47	# BW rewrite match successes           : 0
0.18/0.47	# Condensation attempts                : 40
0.18/0.47	# Condensation successes               : 0
0.18/0.47	# Termbank termtop insertions          : 3371
0.18/0.47	
0.18/0.47	# -------------------------------------------------
0.18/0.47	# User time                : 0.005 s
0.18/0.47	# System time              : 0.004 s
0.18/0.47	# Total time               : 0.008 s
0.18/0.47	# Maximum resident set size: 1912 pages
0.18/0.47	
0.18/0.47	# -------------------------------------------------
0.18/0.47	# User time                : 0.006 s
0.18/0.47	# System time              : 0.007 s
0.18/0.47	# Total time               : 0.013 s
0.18/0.47	# Maximum resident set size: 1812 pages
0.18/0.47	EOF
