TSTP Solution File: NUM292+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM292+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 09:31:27 EDT 2022
% Result : Theorem 0.25s 1.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 18 ~; 15 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 30 ( 4 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(less_entry_point_pos_pos,axiom,
! [X1,X2,X10,X11] :
( ( rdn_translate(X1,rdn_pos(X10))
& rdn_translate(X2,rdn_pos(X11))
& rdn_positive_less(X10,X11) )
=> less(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).
fof(rdn13,axiom,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn13) ).
fof(rdn_extra_digits_positive_less,axiom,
! [X9,X6,X7] :
( rdn_non_zero(X7)
=> rdn_positive_less(rdnn(X9),rdn(rdnn(X6),X7)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_extra_digits_positive_less) ).
fof(rdn_non_zero_by_digit,axiom,
! [X1] :
( rdn_non_zero_digit(rdnn(X1))
=> rdn_non_zero(rdnn(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_non_zero_by_digit) ).
fof(n2_less_n13,conjecture,
less(n2,n13),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',n2_less_n13) ).
fof(rdn_digit1,axiom,
rdn_non_zero_digit(rdnn(n1)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax',rdn_digit1) ).
fof(rdn2,axiom,
rdn_translate(n2,rdn_pos(rdnn(n2))),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn2) ).
fof(c_0_7,plain,
! [X12,X13,X14,X15] :
( ~ rdn_translate(X12,rdn_pos(X14))
| ~ rdn_translate(X13,rdn_pos(X15))
| ~ rdn_positive_less(X14,X15)
| less(X12,X13) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_pos_pos])])])]) ).
cnf(c_0_8,plain,
( less(X1,X2)
| ~ rdn_positive_less(X3,X4)
| ~ rdn_translate(X2,rdn_pos(X4))
| ~ rdn_translate(X1,rdn_pos(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_9,plain,
rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
inference(split_conjunct,[status(thm)],[rdn13]) ).
fof(c_0_10,plain,
! [X10,X11,X12] :
( ~ rdn_non_zero(X12)
| rdn_positive_less(rdnn(X10),rdn(rdnn(X11),X12)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_extra_digits_positive_less])]) ).
cnf(c_0_11,plain,
( less(X1,n13)
| ~ rdn_positive_less(X2,rdn(rdnn(n3),rdnn(n1)))
| ~ rdn_translate(X1,rdn_pos(X2)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
( rdn_positive_less(rdnn(X1),rdn(rdnn(X2),X3))
| ~ rdn_non_zero(X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_13,plain,
! [X2] :
( ~ rdn_non_zero_digit(rdnn(X2))
| rdn_non_zero(rdnn(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_non_zero_by_digit])]) ).
fof(c_0_14,negated_conjecture,
~ less(n2,n13),
inference(assume_negation,[status(cth)],[n2_less_n13]) ).
cnf(c_0_15,plain,
( less(X1,n13)
| ~ rdn_non_zero(rdnn(n1))
| ~ rdn_translate(X1,rdn_pos(rdnn(X2))) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( rdn_non_zero(rdnn(X1))
| ~ rdn_non_zero_digit(rdnn(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
rdn_non_zero_digit(rdnn(n1)),
inference(split_conjunct,[status(thm)],[rdn_digit1]) ).
fof(c_0_18,negated_conjecture,
~ less(n2,n13),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
cnf(c_0_19,plain,
( less(X1,n13)
| ~ rdn_translate(X1,rdn_pos(rdnn(X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_20,plain,
rdn_translate(n2,rdn_pos(rdnn(n2))),
inference(split_conjunct,[status(thm)],[rdn2]) ).
cnf(c_0_21,negated_conjecture,
~ less(n2,n13),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM292+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jul 6 18:36:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.25/1.43 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.43 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.43 # Preprocessing time : 0.022 s
% 0.25/1.43
% 0.25/1.43 # Failure: Out of unprocessed clauses!
% 0.25/1.43 # OLD status GaveUp
% 0.25/1.43 # Parsed axioms : 402
% 0.25/1.43 # Removed by relevancy pruning/SinE : 301
% 0.25/1.43 # Initial clauses : 103
% 0.25/1.43 # Removed in clause preprocessing : 0
% 0.25/1.43 # Initial clauses in saturation : 103
% 0.25/1.43 # Processed clauses : 422
% 0.25/1.43 # ...of these trivial : 12
% 0.25/1.43 # ...subsumed : 96
% 0.25/1.43 # ...remaining for further processing : 314
% 0.25/1.43 # Other redundant clauses eliminated : 1
% 0.25/1.43 # Clauses deleted for lack of memory : 0
% 0.25/1.43 # Backward-subsumed : 0
% 0.25/1.43 # Backward-rewritten : 37
% 0.25/1.43 # Generated clauses : 352
% 0.25/1.43 # ...of the previous two non-trivial : 321
% 0.25/1.43 # Contextual simplify-reflections : 20
% 0.25/1.43 # Paramodulations : 349
% 0.25/1.43 # Factorizations : 2
% 0.25/1.43 # Equation resolutions : 1
% 0.25/1.43 # Current number of processed clauses : 276
% 0.25/1.43 # Positive orientable unit clauses : 141
% 0.25/1.43 # Positive unorientable unit clauses: 0
% 0.25/1.43 # Negative unit clauses : 36
% 0.25/1.43 # Non-unit-clauses : 99
% 0.25/1.43 # Current number of unprocessed clauses: 0
% 0.25/1.43 # ...number of literals in the above : 0
% 0.25/1.43 # Current number of archived formulas : 0
% 0.25/1.43 # Current number of archived clauses : 37
% 0.25/1.43 # Clause-clause subsumption calls (NU) : 2581
% 0.25/1.43 # Rec. Clause-clause subsumption calls : 2235
% 0.25/1.43 # Non-unit clause-clause subsumptions : 73
% 0.25/1.43 # Unit Clause-clause subsumption calls : 1198
% 0.25/1.43 # Rewrite failures with RHS unbound : 0
% 0.25/1.43 # BW rewrite match attempts : 20
% 0.25/1.43 # BW rewrite match successes : 20
% 0.25/1.43 # Condensation attempts : 0
% 0.25/1.43 # Condensation successes : 0
% 0.25/1.43 # Termbank termtop insertions : 11366
% 0.25/1.43
% 0.25/1.43 # -------------------------------------------------
% 0.25/1.43 # User time : 0.033 s
% 0.25/1.43 # System time : 0.004 s
% 0.25/1.43 # Total time : 0.037 s
% 0.25/1.43 # Maximum resident set size: 4456 pages
% 0.25/1.43 # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.25/1.43 # Preprocessing time : 0.026 s
% 0.25/1.43
% 0.25/1.43 # Proof found!
% 0.25/1.43 # SZS status Theorem
% 0.25/1.43 # SZS output start CNFRefutation
% See solution above
% 0.25/1.43 # Proof object total steps : 23
% 0.25/1.43 # Proof object clause steps : 11
% 0.25/1.43 # Proof object formula steps : 12
% 0.25/1.43 # Proof object conjectures : 4
% 0.25/1.43 # Proof object clause conjectures : 1
% 0.25/1.43 # Proof object formula conjectures : 3
% 0.25/1.43 # Proof object initial clauses used : 7
% 0.25/1.43 # Proof object initial formulas used : 7
% 0.25/1.43 # Proof object generating inferences : 4
% 0.25/1.43 # Proof object simplifying inferences : 3
% 0.25/1.43 # Training examples: 0 positive, 0 negative
% 0.25/1.43 # Parsed axioms : 402
% 0.25/1.43 # Removed by relevancy pruning/SinE : 0
% 0.25/1.43 # Initial clauses : 407
% 0.25/1.43 # Removed in clause preprocessing : 0
% 0.25/1.43 # Initial clauses in saturation : 407
% 0.25/1.43 # Processed clauses : 706
% 0.25/1.43 # ...of these trivial : 0
% 0.25/1.43 # ...subsumed : 0
% 0.25/1.43 # ...remaining for further processing : 706
% 0.25/1.43 # Other redundant clauses eliminated : 2
% 0.25/1.43 # Clauses deleted for lack of memory : 0
% 0.25/1.43 # Backward-subsumed : 1
% 0.25/1.43 # Backward-rewritten : 0
% 0.25/1.43 # Generated clauses : 4582
% 0.25/1.43 # ...of the previous two non-trivial : 4573
% 0.25/1.43 # Contextual simplify-reflections : 0
% 0.25/1.43 # Paramodulations : 4578
% 0.25/1.43 # Factorizations : 2
% 0.25/1.43 # Equation resolutions : 2
% 0.25/1.43 # Current number of processed clauses : 703
% 0.25/1.43 # Positive orientable unit clauses : 497
% 0.25/1.43 # Positive unorientable unit clauses: 0
% 0.25/1.43 # Negative unit clauses : 123
% 0.25/1.43 # Non-unit-clauses : 83
% 0.25/1.43 # Current number of unprocessed clauses: 4274
% 0.25/1.43 # ...number of literals in the above : 5963
% 0.25/1.43 # Current number of archived formulas : 0
% 0.25/1.43 # Current number of archived clauses : 1
% 0.25/1.43 # Clause-clause subsumption calls (NU) : 2142
% 0.25/1.43 # Rec. Clause-clause subsumption calls : 1580
% 0.25/1.43 # Non-unit clause-clause subsumptions : 1
% 0.25/1.43 # Unit Clause-clause subsumption calls : 11505
% 0.25/1.43 # Rewrite failures with RHS unbound : 0
% 0.25/1.43 # BW rewrite match attempts : 1
% 0.25/1.43 # BW rewrite match successes : 0
% 0.25/1.43 # Condensation attempts : 0
% 0.25/1.43 # Condensation successes : 0
% 0.25/1.43 # Termbank termtop insertions : 55205
% 0.25/1.43
% 0.25/1.43 # -------------------------------------------------
% 0.25/1.43 # User time : 0.076 s
% 0.25/1.43 # System time : 0.009 s
% 0.25/1.43 # Total time : 0.085 s
% 0.25/1.43 # Maximum resident set size: 9720 pages
% 0.25/3.95 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/3.95 eprover: No such file or directory
% 0.25/3.96 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/3.96 eprover: No such file or directory
% 0.25/3.97 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/3.97 eprover: No such file or directory
% 0.25/3.97 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/3.97 eprover: No such file or directory
% 0.25/3.98 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/3.98 eprover: No such file or directory
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% 0.25/3.99 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
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% 0.25/4.00 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/4.00 eprover: No such file or directory
% 0.25/4.00 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
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% 0.25/4.01 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/4.01 eprover: No such file or directory
% 0.25/4.01 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/4.01 eprover: No such file or directory
% 0.25/23.43 eprover: CPU time limit exceeded, terminating
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.51 eprover: No such file or directory
%------------------------------------------------------------------------------