0.12/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.17	% 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
0.17/0.38	% Computer   : n010.cluster.edu
0.17/0.38	% Model      : x86_64 x86_64
0.17/0.38	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.17/0.38	% Memory     : 8042.1875MB
0.17/0.38	% OS         : Linux 3.10.0-693.el7.x86_64
0.17/0.38	% CPULimit   : 1200
0.17/0.38	% WCLimit    : 120
0.17/0.38	% DateTime   : Tue Jul 13 10:54:06 EDT 2021
0.17/0.39	% CPUTime    : 
0.17/0.39	% Number of cores: 8
0.17/0.39	% Python version: Python 3.6.8
0.17/0.39	# Version: 2.6rc1-ho
0.17/0.41	# No SInE strategy applied
0.17/0.41	# Trying AutoSched0 for 59 seconds
59.23/59.41	# AutoSched0-Mode selected heuristic G_E___303_C18_F1_URBAN_S0Y
59.23/59.41	# and selection function SelectMaxLComplexAvoidPosPred.
59.23/59.41	#
59.23/59.41	# Preprocessing time       : 0.173 s
59.28/59.49	# No success with AutoSched0
59.28/59.49	# Trying AutoSched1 for 26 seconds
85.28/85.49	# AutoSched1-Mode selected heuristic G_E___008_C45_F1_PI_SE_Q4_CS_SP_S4SI
85.28/85.49	# and selection function SelectNewComplexAHPNS.
85.28/85.49	#
85.28/85.49	# Preprocessing time       : 0.091 s
85.36/85.57	# No success with AutoSched1
85.36/85.57	# Trying AutoSched2 for 8 seconds
86.53/86.73	# AutoSched2-Mode selected heuristic U_____100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN
86.53/86.73	# and selection function SelectComplexExceptUniqMaxHorn.
86.53/86.73	#
86.53/86.73	# Preprocessing time       : 0.087 s
86.53/86.73	# Presaturation interreduction done
86.53/86.73	
86.53/86.73	# Proof found!
86.53/86.73	# SZS status Theorem
86.53/86.73	# SZS output start CNFRefutation
86.53/86.73	thf(def_d_not, axiom, (d_not)=(^[X36:$o]:(X36=>~$true)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_d_not)).
86.53/86.73	thf(def_imp, axiom, (imp)=(^[X34:$o, X35:$o]:(X34=>X35)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_imp)).
86.53/86.73	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)).
86.53/86.73	thf(def_is_of, axiom, (is_of)=(^[X1:$i, X2:$i > $o]:X2 @ X1), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_is_of)).
86.53/86.73	thf(def_non, axiom, (non)=(^[X1:$i, X2:$i > $o, X4:$i]:(X2 @ X4=>~$true)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_non)).
86.53/86.73	thf(def_l_some, axiom, (l_some)=(^[X1:$i, X2:$i > $o]:(![X699:$i]:(in @ X699 @ X1=>(X2 @ X699=>~$true))=>~$true)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_l_some)).
86.53/86.73	thf(def_n_is, axiom, (n_is)=(^[X775:$i, X776:$i]:(X775)=(X776)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_n_is)).
86.53/86.73	thf(def_e_is, axiom, (e_is)=(^[X1:$i, X60:$i, X61:$i]:(X60)=(X61)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_e_is)).
86.53/86.73	thf(def_n_some, axiom, (n_some)=(^[X777:$i > $o]:(![X778:$i]:(in @ X778 @ nat=>(X777 @ X778=>~$true))=>~$true)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM007^0.ax', def_n_some)).
86.53/86.73	thf(def_diffprop, axiom, (diffprop)=(^[X1:$i, X183:$i, X4:$i]:(X1)=(n_pl @ X183 @ X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_diffprop)).
86.53/86.73	thf(def_d_29_ii, axiom, (d_29_ii)=(^[X1:$i, X184:$i]:(![X799:$i]:(in @ X799 @ nat=>((X1)=(n_pl @ X184 @ X799)=>~$true))=>~$true)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_d_29_ii)).
86.53/86.73	thf(def_iii, axiom, (iii)=(^[X1:$i, X185:$i]:(![X802:$i]:(in @ X802 @ nat=>((X185)=(n_pl @ X1 @ X802)=>~$true))=>~$true)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_iii)).
86.53/86.73	thf(def_moref, axiom, (moref)=(^[X1:$i, X219:$i]:(![X826:$i]:(in @ X826 @ nat=>((n_ts @ (num @ X1) @ (den @ X219))=(n_pl @ (n_ts @ (num @ X219) @ (den @ X1)) @ X826)=>~$true))=>~$true)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_moref)).
86.53/86.73	thf(def_lessf, axiom, (lessf)=(^[X1:$i, X220:$i]:(![X827:$i]:(in @ X827 @ nat=>((n_ts @ (num @ X220) @ (den @ X1))=(n_pl @ (n_ts @ (num @ X1) @ (den @ X220)) @ X827)=>~$true))=>~$true)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', def_lessf)).
86.53/86.73	thf(satz63a, axiom, all_of @ (^[X1:$i]:in @ X1 @ frac) @ (^[X1:$i]:all_of @ (^[X507:$i]:in @ X507 @ frac) @ (^[X508:$i]:all_of @ (^[X4:$i]:in @ X4 @ frac) @ (^[X4:$i]:(moref @ X1 @ X508<=moref @ (n_pf @ X1 @ X4) @ (n_pf @ X508 @ X4))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', satz63a)).
86.53/86.73	thf(satz63c, conjecture, all_of @ (^[X1:$i]:in @ X1 @ frac) @ (^[X1:$i]:all_of @ (^[X436:$i]:in @ X436 @ frac) @ (^[X437:$i]:all_of @ (^[X4:$i]:in @ X4 @ frac) @ (^[X4:$i]:(lessf @ (n_pf @ X1 @ X4) @ (n_pf @ X437 @ X4)=>lessf @ X1 @ X437)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', satz63c)).
86.53/86.73	thf(c_0_16, axiom, (d_not)=(^[X36:$o]:(X36=>~$true)), inference(apply_def,[status(thm)],[def_d_not, def_imp])).
86.53/86.73	thf(c_0_17, axiom, (all_of)=(^[X3:$i > $o, X2:$i > $o]:![X4:$i]:(X3 @ X4=>X2 @ X4)), inference(apply_def,[status(thm)],[def_all_of, def_is_of])).
86.53/86.73	thf(c_0_18, axiom, (non)=(^[X1:$i, X2:$i > $o, X4:$i]:(X2 @ X4=>~$true)), inference(apply_def,[status(thm)],[def_non, c_0_16])).
86.53/86.73	thf(c_0_19, axiom, (l_some)=(^[X1:$i, X2:$i > $o]:(![X699:$i]:(in @ X699 @ X1=>(X2 @ X699=>~$true))=>~$true)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_l_some, c_0_17]), c_0_16]), c_0_18])).
86.53/86.73	thf(c_0_20, axiom, (n_is)=(^[X775:$i, X776:$i]:(X775)=(X776)), inference(apply_def,[status(thm)],[def_n_is, def_e_is])).
86.53/86.73	thf(c_0_21, axiom, (n_some)=(^[X777:$i > $o]:(![X778:$i]:(in @ X778 @ nat=>(X777 @ X778=>~$true))=>~$true)), inference(apply_def,[status(thm)],[def_n_some, c_0_19])).
86.53/86.73	thf(c_0_22, axiom, (diffprop)=(^[X1:$i, X183:$i, X4:$i]:(X1)=(n_pl @ X183 @ X4)), inference(apply_def,[status(thm)],[def_diffprop, c_0_20])).
86.53/86.73	thf(c_0_23, axiom, (d_29_ii)=(^[X1:$i, X184:$i]:(![X799:$i]:(in @ X799 @ nat=>((X1)=(n_pl @ X184 @ X799)=>~$true))=>~$true)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_d_29_ii, c_0_21]), c_0_22])).
86.53/86.73	thf(c_0_24, axiom, (iii)=(^[X1:$i, X185:$i]:(![X802:$i]:(in @ X802 @ nat=>((X185)=(n_pl @ X1 @ X802)=>~$true))=>~$true)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[def_iii, c_0_21]), c_0_22])).
86.53/86.73	thf(c_0_25, axiom, (moref)=(^[X1:$i, X219:$i]:(![X826:$i]:(in @ X826 @ nat=>((n_ts @ (num @ X1) @ (den @ X219))=(n_pl @ (n_ts @ (num @ X219) @ (den @ X1)) @ X826)=>~$true))=>~$true)), inference(apply_def,[status(thm)],[def_moref, c_0_23])).
86.53/86.73	thf(c_0_26, axiom, (lessf)=(^[X1:$i, X220:$i]:(![X827:$i]:(in @ X827 @ nat=>((n_ts @ (num @ X220) @ (den @ X1))=(n_pl @ (n_ts @ (num @ X1) @ (den @ X220)) @ X827)=>~$true))=>~$true)), inference(apply_def,[status(thm)],[def_lessf, c_0_24])).
86.53/86.73	thf(c_0_27, plain, ![X4610:$i]:(in @ X4610 @ frac=>![X4617:$i]:(in @ X4617 @ frac=>![X4618:$i]:(in @ X4618 @ frac=>(~(![X4620:$i]:(in @ X4620 @ nat=>(n_ts @ (num @ (n_pf @ X4610 @ X4618)) @ (den @ (n_pf @ X4617 @ X4618)))!=(n_pl @ (n_ts @ (num @ (n_pf @ X4617 @ X4618)) @ (den @ (n_pf @ X4610 @ X4618))) @ X4620)))=>~(![X4619:$i]:(in @ X4619 @ nat=>(n_ts @ (num @ X4610) @ (den @ X4617))!=(n_pl @ (n_ts @ (num @ X4617) @ (den @ X4610)) @ X4619))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[satz63a, c_0_17]), c_0_25])])).
86.53/86.73	thf(c_0_28, negated_conjecture, ~(![X3731:$i]:(in @ X3731 @ frac=>![X3738:$i]:(in @ X3738 @ frac=>![X3739:$i]:(in @ X3739 @ frac=>(~(![X3740:$i]:(in @ X3740 @ nat=>(n_ts @ (num @ (n_pf @ X3738 @ X3739)) @ (den @ (n_pf @ X3731 @ X3739)))!=(n_pl @ (n_ts @ (num @ (n_pf @ X3731 @ X3739)) @ (den @ (n_pf @ X3738 @ X3739))) @ X3740)))=>~(![X3741:$i]:(in @ X3741 @ nat=>(n_ts @ (num @ X3738) @ (den @ X3731))!=(n_pl @ (n_ts @ (num @ X3731) @ (den @ X3738)) @ X3741)))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[satz63c]), c_0_17]), c_0_26])])).
86.53/86.73	thf(c_0_29, plain, ![X6229:$i, X6230:$i, X6231:$i, X6232:$i]:((in @ (esk160_3 @ X6229 @ X6230 @ X6231) @ nat|(~in @ X6232 @ nat|(n_ts @ (num @ (n_pf @ X6229 @ X6231)) @ (den @ (n_pf @ X6230 @ X6231)))!=(n_pl @ (n_ts @ (num @ (n_pf @ X6230 @ X6231)) @ (den @ (n_pf @ X6229 @ X6231))) @ X6232))|~in @ X6231 @ frac|~in @ X6230 @ frac|~in @ X6229 @ frac)&((n_ts @ (num @ X6229) @ (den @ X6230))=(n_pl @ (n_ts @ (num @ X6230) @ (den @ X6229)) @ (esk160_3 @ X6229 @ X6230 @ X6231))|(~in @ X6232 @ nat|(n_ts @ (num @ (n_pf @ X6229 @ X6231)) @ (den @ (n_pf @ X6230 @ X6231)))!=(n_pl @ (n_ts @ (num @ (n_pf @ X6230 @ X6231)) @ (den @ (n_pf @ X6229 @ X6231))) @ X6232))|~in @ X6231 @ frac|~in @ X6230 @ frac|~in @ X6229 @ frac)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])])).
86.53/86.73	thf(c_0_30, negated_conjecture, ![X6073:$i]:(in @ esk129_0 @ frac&(in @ esk130_0 @ frac&(in @ esk131_0 @ frac&((in @ esk132_0 @ nat&(n_ts @ (num @ (n_pf @ esk130_0 @ esk131_0)) @ (den @ (n_pf @ esk129_0 @ esk131_0)))=(n_pl @ (n_ts @ (num @ (n_pf @ esk129_0 @ esk131_0)) @ (den @ (n_pf @ esk130_0 @ esk131_0))) @ esk132_0))&(~in @ X6073 @ nat|(n_ts @ (num @ esk130_0) @ (den @ esk129_0))!=(n_pl @ (n_ts @ (num @ esk129_0) @ (den @ esk130_0)) @ X6073)))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])).
86.53/86.73	thf(c_0_31, plain, ![X6:$i, X5:$i, X4:$i, X1:$i]:((n_ts @ (num @ X1) @ (den @ X4))=(n_pl @ (n_ts @ (num @ X4) @ (den @ X1)) @ (esk160_3 @ X1 @ X4 @ X5))|~in @ X6 @ nat|(n_ts @ (num @ (n_pf @ X1 @ X5)) @ (den @ (n_pf @ X4 @ X5)))!=(n_pl @ (n_ts @ (num @ (n_pf @ X4 @ X5)) @ (den @ (n_pf @ X1 @ X5))) @ X6)|~in @ X5 @ frac|~in @ X4 @ frac|~in @ X1 @ frac), inference(split_conjunct,[status(thm)],[c_0_29])).
86.53/86.73	thf(c_0_32, negated_conjecture, (n_ts @ (num @ (n_pf @ esk130_0 @ esk131_0)) @ (den @ (n_pf @ esk129_0 @ esk131_0)))=(n_pl @ (n_ts @ (num @ (n_pf @ esk129_0 @ esk131_0)) @ (den @ (n_pf @ esk130_0 @ esk131_0))) @ esk132_0), inference(split_conjunct,[status(thm)],[c_0_30])).
86.53/86.73	thf(c_0_33, negated_conjecture, in @ esk132_0 @ nat, inference(split_conjunct,[status(thm)],[c_0_30])).
86.53/86.73	thf(c_0_34, negated_conjecture, in @ esk131_0 @ frac, inference(split_conjunct,[status(thm)],[c_0_30])).
86.53/86.73	thf(c_0_35, negated_conjecture, in @ esk129_0 @ frac, inference(split_conjunct,[status(thm)],[c_0_30])).
86.53/86.73	thf(c_0_36, negated_conjecture, in @ esk130_0 @ frac, inference(split_conjunct,[status(thm)],[c_0_30])).
86.53/86.73	thf(c_0_37, plain, ![X6:$i, X5:$i, X4:$i, X1:$i]:(in @ (esk160_3 @ X1 @ X4 @ X5) @ nat|~in @ X6 @ nat|(n_ts @ (num @ (n_pf @ X1 @ X5)) @ (den @ (n_pf @ X4 @ X5)))!=(n_pl @ (n_ts @ (num @ (n_pf @ X4 @ X5)) @ (den @ (n_pf @ X1 @ X5))) @ X6)|~in @ X5 @ frac|~in @ X4 @ frac|~in @ X1 @ frac), inference(split_conjunct,[status(thm)],[c_0_29])).
86.53/86.73	thf(c_0_38, negated_conjecture, ![X1:$i]:(~in @ X1 @ nat|(n_ts @ (num @ esk130_0) @ (den @ esk129_0))!=(n_pl @ (n_ts @ (num @ esk129_0) @ (den @ esk130_0)) @ X1)), inference(split_conjunct,[status(thm)],[c_0_30])).
86.53/86.73	thf(c_0_39, negated_conjecture, (n_pl @ (n_ts @ (num @ esk129_0) @ (den @ esk130_0)) @ (esk160_3 @ esk130_0 @ esk129_0 @ esk131_0))=(n_ts @ (num @ esk130_0) @ (den @ esk129_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])])).
86.53/86.73	thf(c_0_40, negated_conjecture, in @ (esk160_3 @ esk130_0 @ esk129_0 @ esk131_0) @ nat, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_32]), c_0_33]), c_0_34]), c_0_35]), c_0_36])])).
86.53/86.73	thf(c_0_41, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40])]), ['proof']).
86.53/86.73	# SZS output end CNFRefutation
86.53/86.73	# Proof object total steps             : 42
86.53/86.73	# Proof object clause steps            : 11
86.53/86.73	# Proof object formula steps           : 31
86.53/86.73	# Proof object conjectures             : 12
86.53/86.73	# Proof object clause conjectures      : 9
86.53/86.73	# Proof object formula conjectures     : 3
86.53/86.73	# Proof object initial clauses used    : 8
86.53/86.73	# Proof object initial formulas used   : 16
86.53/86.73	# Proof object generating inferences   : 3
86.53/86.73	# Proof object simplifying inferences  : 12
86.53/86.73	# Training examples: 0 positive, 0 negative
86.53/86.73	# Parsed axioms                        : 594
86.53/86.73	# Removed by relevancy pruning/SinE    : 0
86.53/86.73	# Initial clauses                      : 999
86.53/86.73	# Removed in clause preprocessing      : 235
86.53/86.73	# Initial clauses in saturation        : 764
86.53/86.73	# Processed clauses                    : 7229
86.53/86.73	# ...of these trivial                  : 252
86.53/86.73	# ...subsumed                          : 2037
86.53/86.73	# ...remaining for further processing  : 4940
86.53/86.73	# Other redundant clauses eliminated   : 895
86.53/86.73	# Clauses deleted for lack of memory   : 0
86.53/86.73	# Backward-subsumed                    : 3
86.53/86.73	# Backward-rewritten                   : 709
86.53/86.73	# Generated clauses                    : 65013
86.53/86.73	# ...of the previous two non-trivial   : 63519
86.53/86.73	# Contextual simplify-reflections      : 66
86.53/86.73	# Paramodulations                      : 61637
86.53/86.73	# Factorizations                       : 0
86.53/86.73	# NegExts                              : 67
86.53/86.73	# Equation resolutions                 : 903
86.53/86.73	# Propositional unsat checks           : 0
86.53/86.73	#    Propositional check models        : 0
86.53/86.73	#    Propositional check unsatisfiable : 0
86.53/86.73	#    Propositional clauses             : 0
86.53/86.73	#    Propositional clauses after purity: 0
86.53/86.73	#    Propositional unsat core size     : 0
86.53/86.73	#    Propositional preprocessing time  : 0.000
86.53/86.73	#    Propositional encoding time       : 0.000
86.53/86.73	#    Propositional solver time         : 0.000
86.53/86.73	#    Success case prop preproc time    : 0.000
86.53/86.73	#    Success case prop encoding time   : 0.000
86.53/86.73	#    Success case prop solver time     : 0.000
86.53/86.73	# Current number of processed clauses  : 3304
86.53/86.73	#    Positive orientable unit clauses  : 1121
86.53/86.73	#    Positive unorientable unit clauses: 12
86.53/86.73	#    Negative unit clauses             : 326
86.53/86.73	#    Non-unit-clauses                  : 1845
86.53/86.73	# Current number of unprocessed clauses: 57515
86.53/86.73	# ...number of literals in the above   : 297873
86.53/86.73	# Current number of archived formulas  : 0
86.53/86.73	# Current number of archived clauses   : 1436
86.53/86.73	# Clause-clause subsumption calls (NU) : 1115160
86.53/86.73	# Rec. Clause-clause subsumption calls : 251406
86.53/86.73	# Non-unit clause-clause subsumptions  : 742
86.53/86.73	# Unit Clause-clause subsumption calls : 127487
86.53/86.73	# Rewrite failures with RHS unbound    : 14
86.53/86.73	# BW rewrite match attempts            : 356
86.53/86.73	# BW rewrite match successes           : 55
86.53/86.73	# Condensation attempts                : 0
86.53/86.73	# Condensation successes               : 0
86.53/86.73	# Termbank termtop insertions          : 1671536
86.53/86.73	
86.53/86.73	# -------------------------------------------------
86.53/86.73	# User time                : 84.295 s
86.53/86.73	# System time              : 2.053 s
86.53/86.73	# Total time               : 86.348 s
86.53/86.73	# Maximum resident set size: 2760 pages
86.53/86.73	EOF