TSTP Solution File: NUM025-2 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NUM025-2 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 : 300s
% DateTime : Sat May 4 08:47:31 EDT 2024
% Result : Unsatisfiable 0.15s 0.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 9 unt; 4 nHn; 7 RR)
% Number of literals : 20 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(transitivity_of_less,axiom,
( greater_or_equalish(X1,X2)
| greater_or_equalish(X3,X1)
| ~ greater_or_equalish(X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.8PUNzd9jSL/E---3.1_1870.p',transitivity_of_less) ).
cnf(prove_b_not_less_than_a,negated_conjecture,
~ greater_or_equalish(b,a),
file('/export/starexec/sandbox/tmp/tmp.8PUNzd9jSL/E---3.1_1870.p',prove_b_not_less_than_a) ).
cnf(no_number_less_than_itself,axiom,
greater_or_equalish(X1,X1),
file('/export/starexec/sandbox/tmp/tmp.8PUNzd9jSL/E---3.1_1870.p',no_number_less_than_itself) ).
cnf(a_less_than_b,hypothesis,
~ greater_or_equalish(a,b),
file('/export/starexec/sandbox/tmp/tmp.8PUNzd9jSL/E---3.1_1870.p',a_less_than_b) ).
cnf(c_0_4,plain,
( greater_or_equalish(X1,X2)
| greater_or_equalish(X3,X1)
| ~ greater_or_equalish(X3,X2) ),
inference(fof_simplification,[status(thm)],[transitivity_of_less]) ).
cnf(c_0_5,negated_conjecture,
~ greater_or_equalish(b,a),
inference(fof_simplification,[status(thm)],[prove_b_not_less_than_a]) ).
cnf(c_0_6,plain,
( greater_or_equalish(X1,X2)
| greater_or_equalish(X3,X1)
| ~ greater_or_equalish(X3,X2) ),
c_0_4 ).
cnf(c_0_7,axiom,
greater_or_equalish(X1,X1),
no_number_less_than_itself ).
cnf(c_0_8,hypothesis,
~ greater_or_equalish(a,b),
inference(fof_simplification,[status(thm)],[a_less_than_b]) ).
cnf(c_0_9,negated_conjecture,
~ greater_or_equalish(b,a),
c_0_5 ).
cnf(c_0_10,plain,
( greater_or_equalish(X1,X2)
| greater_or_equalish(X2,X1) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,hypothesis,
~ greater_or_equalish(a,b),
c_0_8 ).
cnf(c_0_12,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : NUM025-2 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.00/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n012.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 09:21:55 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.8PUNzd9jSL/E---3.1_1870.p
% 0.15/0.42 # Version: 3.1.0
% 0.15/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42 # Starting sh5l with 300s (1) cores
% 0.15/0.42 # new_bool_3 with pid 1950 completed with status 0
% 0.15/0.42 # Result found by new_bool_3
% 0.15/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42 # Search class: FGHNS-FFSF21-SFFFFFNN
% 0.15/0.42 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0Y with 181s (1) cores
% 0.15/0.42 # G-E--_208_C18_F1_SE_CS_SP_PS_S0Y with pid 1954 completed with status 0
% 0.15/0.42 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S0Y
% 0.15/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42 # Search class: FGHNS-FFSF21-SFFFFFNN
% 0.15/0.42 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S0Y with 181s (1) cores
% 0.15/0.42 # Preprocessing time : 0.001 s
% 0.15/0.42 # Presaturation interreduction done
% 0.15/0.42
% 0.15/0.42 # Proof found!
% 0.15/0.42 # SZS status Unsatisfiable
% 0.15/0.42 # SZS output start CNFRefutation
% See solution above
% 0.15/0.42 # Parsed axioms : 16
% 0.15/0.42 # Removed by relevancy pruning/SinE : 5
% 0.15/0.42 # Initial clauses : 11
% 0.15/0.42 # Removed in clause preprocessing : 0
% 0.15/0.42 # Initial clauses in saturation : 11
% 0.15/0.42 # Processed clauses : 25
% 0.15/0.42 # ...of these trivial : 0
% 0.15/0.42 # ...subsumed : 0
% 0.15/0.42 # ...remaining for further processing : 25
% 0.15/0.42 # Other redundant clauses eliminated : 0
% 0.15/0.42 # Clauses deleted for lack of memory : 0
% 0.15/0.42 # Backward-subsumed : 0
% 0.15/0.42 # Backward-rewritten : 0
% 0.15/0.42 # Generated clauses : 17
% 0.15/0.42 # ...of the previous two non-redundant : 7
% 0.15/0.42 # ...aggressively subsumed : 0
% 0.15/0.42 # Contextual simplify-reflections : 0
% 0.15/0.42 # Paramodulations : 15
% 0.15/0.42 # Factorizations : 2
% 0.15/0.42 # NegExts : 0
% 0.15/0.42 # Equation resolutions : 0
% 0.15/0.42 # Disequality decompositions : 0
% 0.15/0.42 # Total rewrite steps : 4
% 0.15/0.42 # ...of those cached : 1
% 0.15/0.42 # Propositional unsat checks : 0
% 0.15/0.42 # Propositional check models : 0
% 0.15/0.42 # Propositional check unsatisfiable : 0
% 0.15/0.42 # Propositional clauses : 0
% 0.15/0.42 # Propositional clauses after purity: 0
% 0.15/0.42 # Propositional unsat core size : 0
% 0.15/0.42 # Propositional preprocessing time : 0.000
% 0.15/0.42 # Propositional encoding time : 0.000
% 0.15/0.42 # Propositional solver time : 0.000
% 0.15/0.42 # Success case prop preproc time : 0.000
% 0.15/0.42 # Success case prop encoding time : 0.000
% 0.15/0.42 # Success case prop solver time : 0.000
% 0.15/0.42 # Current number of processed clauses : 14
% 0.15/0.42 # Positive orientable unit clauses : 3
% 0.15/0.42 # Positive unorientable unit clauses: 0
% 0.15/0.42 # Negative unit clauses : 4
% 0.15/0.42 # Non-unit-clauses : 7
% 0.15/0.42 # Current number of unprocessed clauses: 4
% 0.15/0.42 # ...number of literals in the above : 8
% 0.15/0.42 # Current number of archived formulas : 0
% 0.15/0.42 # Current number of archived clauses : 11
% 0.15/0.42 # Clause-clause subsumption calls (NU) : 11
% 0.15/0.42 # Rec. Clause-clause subsumption calls : 11
% 0.15/0.42 # Non-unit clause-clause subsumptions : 0
% 0.15/0.42 # Unit Clause-clause subsumption calls : 3
% 0.15/0.42 # Rewrite failures with RHS unbound : 0
% 0.15/0.42 # BW rewrite match attempts : 4
% 0.15/0.42 # BW rewrite match successes : 0
% 0.15/0.42 # Condensation attempts : 0
% 0.15/0.42 # Condensation successes : 0
% 0.15/0.42 # Termbank termtop insertions : 458
% 0.15/0.42 # Search garbage collected termcells : 41
% 0.15/0.42
% 0.15/0.42 # -------------------------------------------------
% 0.15/0.42 # User time : 0.002 s
% 0.15/0.42 # System time : 0.001 s
% 0.15/0.42 # Total time : 0.004 s
% 0.15/0.42 # Maximum resident set size: 1604 pages
% 0.15/0.42
% 0.15/0.42 # -------------------------------------------------
% 0.15/0.42 # User time : 0.005 s
% 0.15/0.42 # System time : 0.002 s
% 0.15/0.42 # Total time : 0.006 s
% 0.15/0.42 # Maximum resident set size: 1700 pages
% 0.15/0.42 % E---3.1 exiting
% 0.15/0.42 % E exiting
%------------------------------------------------------------------------------