TSTP Solution File: NUM301+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : NUM301+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n016.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 09:31:30 EDT 2022
% Result : Theorem 0.24s 1.42s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 12 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 7 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 19 ( 3 sgn 9 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(something_less_nn2,conjecture,
? [X1] : less(X1,nn2),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',something_less_nn2) ).
fof(less_entry_point_neg_neg,axiom,
! [X1,X2,X10,X11] :
( ( rdn_translate(X1,rdn_neg(X10))
& rdn_translate(X2,rdn_neg(X11))
& rdn_positive_less(X11,X10) )
=> less(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_entry_point_neg_neg) ).
fof(rdnn2,axiom,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn2) ).
fof(rdn_positive_less23,axiom,
rdn_positive_less(rdnn(n2),rdnn(n3)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less23) ).
fof(rdnn3,axiom,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdnn3) ).
fof(c_0_5,negated_conjecture,
~ ? [X1] : less(X1,nn2),
inference(assume_negation,[status(cth)],[something_less_nn2]) ).
fof(c_0_6,plain,
! [X12,X13,X14,X15] :
( ~ rdn_translate(X12,rdn_neg(X14))
| ~ rdn_translate(X13,rdn_neg(X15))
| ~ rdn_positive_less(X15,X14)
| 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_neg_neg])])])]) ).
fof(c_0_7,negated_conjecture,
! [X2] : ~ less(X2,nn2),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).
cnf(c_0_8,plain,
( less(X1,X2)
| ~ rdn_positive_less(X3,X4)
| ~ rdn_translate(X2,rdn_neg(X3))
| ~ rdn_translate(X1,rdn_neg(X4)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
rdn_translate(nn2,rdn_neg(rdnn(n2))),
inference(split_conjunct,[status(thm)],[rdnn2]) ).
cnf(c_0_10,negated_conjecture,
~ less(X1,nn2),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( ~ rdn_positive_less(rdnn(n2),X1)
| ~ rdn_translate(X2,rdn_neg(X1)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_12,plain,
rdn_positive_less(rdnn(n2),rdnn(n3)),
inference(split_conjunct,[status(thm)],[rdn_positive_less23]) ).
cnf(c_0_13,plain,
rdn_translate(nn3,rdn_neg(rdnn(n3))),
inference(split_conjunct,[status(thm)],[rdnn3]) ).
cnf(c_0_14,plain,
~ rdn_translate(X1,rdn_neg(rdnn(n3))),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
$false,
inference(sr,[status(thm)],[c_0_13,c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM301+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 02:38:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.24/1.42 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.24/1.42 # Preprocessing time : 0.025 s
% 0.24/1.42
% 0.24/1.42 # Proof found!
% 0.24/1.42 # SZS status Theorem
% 0.24/1.42 # SZS output start CNFRefutation
% See solution above
% 0.24/1.42 # Proof object total steps : 16
% 0.24/1.42 # Proof object clause steps : 8
% 0.24/1.42 # Proof object formula steps : 8
% 0.24/1.42 # Proof object conjectures : 4
% 0.24/1.42 # Proof object clause conjectures : 1
% 0.24/1.42 # Proof object formula conjectures : 3
% 0.24/1.42 # Proof object initial clauses used : 5
% 0.24/1.42 # Proof object initial formulas used : 5
% 0.24/1.42 # Proof object generating inferences : 2
% 0.24/1.42 # Proof object simplifying inferences : 2
% 0.24/1.42 # Training examples: 0 positive, 0 negative
% 0.24/1.42 # Parsed axioms : 402
% 0.24/1.42 # Removed by relevancy pruning/SinE : 0
% 0.24/1.42 # Initial clauses : 407
% 0.24/1.42 # Removed in clause preprocessing : 0
% 0.24/1.42 # Initial clauses in saturation : 407
% 0.24/1.42 # Processed clauses : 414
% 0.24/1.42 # ...of these trivial : 0
% 0.24/1.42 # ...subsumed : 2
% 0.24/1.42 # ...remaining for further processing : 412
% 0.24/1.42 # Other redundant clauses eliminated : 2
% 0.24/1.42 # Clauses deleted for lack of memory : 0
% 0.24/1.42 # Backward-subsumed : 0
% 0.24/1.42 # Backward-rewritten : 0
% 0.24/1.42 # Generated clauses : 830
% 0.24/1.42 # ...of the previous two non-trivial : 823
% 0.24/1.42 # Contextual simplify-reflections : 0
% 0.24/1.42 # Paramodulations : 825
% 0.24/1.42 # Factorizations : 2
% 0.24/1.42 # Equation resolutions : 2
% 0.24/1.42 # Current number of processed clauses : 409
% 0.24/1.42 # Positive orientable unit clauses : 374
% 0.24/1.42 # Positive unorientable unit clauses: 0
% 0.24/1.42 # Negative unit clauses : 3
% 0.24/1.42 # Non-unit-clauses : 32
% 0.24/1.42 # Current number of unprocessed clauses: 814
% 0.24/1.42 # ...number of literals in the above : 2507
% 0.24/1.42 # Current number of archived formulas : 0
% 0.24/1.42 # Current number of archived clauses : 1
% 0.24/1.42 # Clause-clause subsumption calls (NU) : 741
% 0.24/1.42 # Rec. Clause-clause subsumption calls : 276
% 0.24/1.42 # Non-unit clause-clause subsumptions : 1
% 0.24/1.42 # Unit Clause-clause subsumption calls : 65
% 0.24/1.42 # Rewrite failures with RHS unbound : 0
% 0.24/1.42 # BW rewrite match attempts : 1
% 0.24/1.42 # BW rewrite match successes : 0
% 0.24/1.42 # Condensation attempts : 0
% 0.24/1.42 # Condensation successes : 0
% 0.24/1.42 # Termbank termtop insertions : 31880
% 0.24/1.42
% 0.24/1.42 # -------------------------------------------------
% 0.24/1.42 # User time : 0.040 s
% 0.24/1.42 # System time : 0.008 s
% 0.24/1.42 # Total time : 0.048 s
% 0.24/1.42 # Maximum resident set size: 6552 pages
% 0.24/3.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/3.64 eprover: No such file or directory
% 0.24/3.64 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/3.64 eprover: No such file or directory
% 0.24/3.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/3.65 eprover: No such file or directory
% 0.24/3.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/3.65 eprover: No such file or directory
% 0.24/3.65 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/3.65 eprover: No such file or directory
% 0.24/3.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/3.66 eprover: No such file or directory
% 0.24/3.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/3.66 eprover: No such file or directory
% 0.24/3.66 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/3.66 eprover: No such file or directory
% 0.24/3.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/3.67 eprover: No such file or directory
% 0.24/3.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/3.67 eprover: No such file or directory
% 0.24/3.67 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/3.67 eprover: No such file or directory
% 0.24/23.41 eprover: CPU time limit exceeded, terminating
% 0.24/23.43 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.44 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45 eprover: No such file or directory
% 0.24/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48 eprover: No such file or directory
% 0.24/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49 eprover: No such file or directory
%------------------------------------------------------------------------------