TSTP Solution File: NUM009-1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : NUM009-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:58:10 EDT 2023
% Result : Unsatisfiable 0.20s 0.54s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 12 ( 6 unt; 2 nHn; 12 RR)
% Number of literals : 20 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a2,axiom,
( little_set(X1)
| ~ member(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.BRjgndNpo2/E---3.1_29911.p',a2) ).
cnf(infinity2,axiom,
member(empty_set,infinity),
file('/export/starexec/sandbox/tmp/tmp.BRjgndNpo2/E---3.1_29911.p',infinity2) ).
cnf(natural_numbers6,axiom,
( member(X1,natural_numbers)
| ~ member(X1,f44(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.BRjgndNpo2/E---3.1_29911.p',natural_numbers6) ).
cnf(natural_numbers4,axiom,
( member(X1,natural_numbers)
| member(empty_set,f44(X1))
| ~ little_set(X1) ),
file('/export/starexec/sandbox/tmp/tmp.BRjgndNpo2/E---3.1_29911.p',natural_numbers4) ).
cnf(prove_zero_is_a_natural,negated_conjecture,
~ member(empty_set,natural_numbers),
file('/export/starexec/sandbox/tmp/tmp.BRjgndNpo2/E---3.1_29911.p',prove_zero_is_a_natural) ).
cnf(c_0_5,axiom,
( little_set(X1)
| ~ member(X1,X2) ),
a2 ).
cnf(c_0_6,axiom,
member(empty_set,infinity),
infinity2 ).
cnf(c_0_7,axiom,
( member(X1,natural_numbers)
| ~ member(X1,f44(X1)) ),
natural_numbers6 ).
cnf(c_0_8,axiom,
( member(X1,natural_numbers)
| member(empty_set,f44(X1))
| ~ little_set(X1) ),
natural_numbers4 ).
cnf(c_0_9,plain,
little_set(empty_set),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,negated_conjecture,
~ member(empty_set,natural_numbers),
prove_zero_is_a_natural ).
cnf(c_0_11,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM009-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13 % Command : run_E %s %d THM
% 0.16/0.34 % Computer : n025.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 2400
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Mon Oct 2 14:54:21 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.20/0.49 Running first-order model finding
% 0.20/0.49 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.BRjgndNpo2/E---3.1_29911.p
% 0.20/0.54 # Version: 3.1pre001
% 0.20/0.54 # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.20/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.54 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.20/0.54 # Starting new_bool_3 with 600s (2) cores
% 0.20/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.54 # Starting sh5l with 300s (1) cores
% 0.20/0.54 # new_bool_3 with pid 29989 completed with status 8
% 0.20/0.54 # new_bool_1 with pid 29990 completed with status 8
% 0.20/0.54 # G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 29988 completed with status 0
% 0.20/0.54 # Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 0.20/0.54 # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.20/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.54 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.20/0.54 # No SInE strategy applied
% 0.20/0.54 # Search class: FGHSF-FSLS31-DFFFFFNN
% 0.20/0.54 # partial match(1): FGHSF-FSLS31-SFFFFFNN
% 0.20/0.54 # Scheduled 6 strats onto 4 cores with 1200 seconds (1200 total)
% 0.20/0.54 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 246s (1) cores
% 0.20/0.54 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 0.20/0.54 # Starting new_bool_1 with 245s (1) cores
% 0.20/0.54 # Starting sh5l with 244s (1) cores
% 0.20/0.54 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 30000 completed with status 0
% 0.20/0.54 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.20/0.54 # Preprocessing class: FSLMSMSMSSSNFFN.
% 0.20/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.54 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.20/0.54 # No SInE strategy applied
% 0.20/0.54 # Search class: FGHSF-FSLS31-DFFFFFNN
% 0.20/0.54 # partial match(1): FGHSF-FSLS31-SFFFFFNN
% 0.20/0.54 # Scheduled 6 strats onto 4 cores with 1200 seconds (1200 total)
% 0.20/0.54 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 246s (1) cores
% 0.20/0.54 # Preprocessing time : 0.005 s
% 0.20/0.54 # Presaturation interreduction done
% 0.20/0.54
% 0.20/0.54 # Proof found!
% 0.20/0.54 # SZS status Unsatisfiable
% 0.20/0.54 # SZS output start CNFRefutation
% See solution above
% 0.20/0.54 # Parsed axioms : 220
% 0.20/0.54 # Removed by relevancy pruning/SinE : 0
% 0.20/0.54 # Initial clauses : 220
% 0.20/0.54 # Removed in clause preprocessing : 6
% 0.20/0.54 # Initial clauses in saturation : 214
% 0.20/0.54 # Processed clauses : 303
% 0.20/0.54 # ...of these trivial : 0
% 0.20/0.54 # ...subsumed : 2
% 0.20/0.54 # ...remaining for further processing : 301
% 0.20/0.54 # Other redundant clauses eliminated : 19
% 0.20/0.54 # Clauses deleted for lack of memory : 0
% 0.20/0.54 # Backward-subsumed : 3
% 0.20/0.54 # Backward-rewritten : 0
% 0.20/0.54 # Generated clauses : 60
% 0.20/0.54 # ...of the previous two non-redundant : 54
% 0.20/0.54 # ...aggressively subsumed : 0
% 0.20/0.54 # Contextual simplify-reflections : 0
% 0.20/0.54 # Paramodulations : 41
% 0.20/0.54 # Factorizations : 0
% 0.20/0.54 # NegExts : 0
% 0.20/0.54 # Equation resolutions : 19
% 0.20/0.54 # Total rewrite steps : 7
% 0.20/0.54 # Propositional unsat checks : 0
% 0.20/0.54 # Propositional check models : 0
% 0.20/0.54 # Propositional check unsatisfiable : 0
% 0.20/0.54 # Propositional clauses : 0
% 0.20/0.54 # Propositional clauses after purity: 0
% 0.20/0.54 # Propositional unsat core size : 0
% 0.20/0.54 # Propositional preprocessing time : 0.000
% 0.20/0.54 # Propositional encoding time : 0.000
% 0.20/0.54 # Propositional solver time : 0.000
% 0.20/0.54 # Success case prop preproc time : 0.000
% 0.20/0.54 # Success case prop encoding time : 0.000
% 0.20/0.54 # Success case prop solver time : 0.000
% 0.20/0.54 # Current number of processed clauses : 65
% 0.20/0.54 # Positive orientable unit clauses : 7
% 0.20/0.54 # Positive unorientable unit clauses: 0
% 0.20/0.54 # Negative unit clauses : 5
% 0.20/0.54 # Non-unit-clauses : 53
% 0.20/0.54 # Current number of unprocessed clauses: 176
% 0.20/0.54 # ...number of literals in the above : 537
% 0.20/0.54 # Current number of archived formulas : 0
% 0.20/0.54 # Current number of archived clauses : 223
% 0.20/0.54 # Clause-clause subsumption calls (NU) : 25103
% 0.20/0.54 # Rec. Clause-clause subsumption calls : 5885
% 0.20/0.54 # Non-unit clause-clause subsumptions : 5
% 0.20/0.54 # Unit Clause-clause subsumption calls : 10
% 0.20/0.54 # Rewrite failures with RHS unbound : 0
% 0.20/0.54 # BW rewrite match attempts : 0
% 0.20/0.54 # BW rewrite match successes : 0
% 0.20/0.54 # Condensation attempts : 0
% 0.20/0.54 # Condensation successes : 0
% 0.20/0.54 # Termbank termtop insertions : 12244
% 0.20/0.54
% 0.20/0.54 # -------------------------------------------------
% 0.20/0.54 # User time : 0.036 s
% 0.20/0.54 # System time : 0.008 s
% 0.20/0.54 # Total time : 0.044 s
% 0.20/0.54 # Maximum resident set size: 2344 pages
% 0.20/0.54
% 0.20/0.54 # -------------------------------------------------
% 0.20/0.54 # User time : 0.165 s
% 0.20/0.54 # System time : 0.068 s
% 0.20/0.54 # Total time : 0.233 s
% 0.20/0.54 # Maximum resident set size: 1884 pages
% 0.20/0.54 % E---3.1 exiting
%------------------------------------------------------------------------------