TSTP Solution File: NUM190-1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM190-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:46:02 EDT 2023
% Result : Unsatisfiable 0.35s 0.55s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 23 ( 11 unt; 4 nHn; 19 RR)
% Number of literals : 37 ( 9 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(omega_is_inductive1,axiom,
inductive(omega),
file('/export/starexec/sandbox2/tmp/tmp.qBTQoPItuH/E---3.1_21764.p',omega_is_inductive1) ).
cnf(prove_omega_is_not_null_1,negated_conjecture,
omega = null_class,
file('/export/starexec/sandbox2/tmp/tmp.qBTQoPItuH/E---3.1_21764.p',prove_omega_is_not_null_1) ).
cnf(intersection1,axiom,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.qBTQoPItuH/E---3.1_21764.p',intersection1) ).
cnf(regularity2,axiom,
( X1 = null_class
| intersection(X1,regular(X1)) = null_class ),
file('/export/starexec/sandbox2/tmp/tmp.qBTQoPItuH/E---3.1_21764.p',regularity2) ).
cnf(inductive1,axiom,
( member(null_class,X1)
| ~ inductive(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.qBTQoPItuH/E---3.1_21764.p',inductive1) ).
cnf(complement1,axiom,
( ~ member(X1,complement(X2))
| ~ member(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.qBTQoPItuH/E---3.1_21764.p',complement1) ).
cnf(omega_in_universal,axiom,
member(omega,universal_class),
file('/export/starexec/sandbox2/tmp/tmp.qBTQoPItuH/E---3.1_21764.p',omega_in_universal) ).
cnf(c_0_7,axiom,
inductive(omega),
omega_is_inductive1 ).
cnf(c_0_8,negated_conjecture,
omega = null_class,
prove_omega_is_not_null_1 ).
cnf(c_0_9,axiom,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
intersection1 ).
cnf(c_0_10,axiom,
( X1 = null_class
| intersection(X1,regular(X1)) = null_class ),
regularity2 ).
cnf(c_0_11,axiom,
( member(null_class,X1)
| ~ inductive(X1) ),
inductive1 ).
cnf(c_0_12,plain,
inductive(null_class),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,plain,
( X1 = null_class
| member(X2,X1)
| ~ member(X2,null_class) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,plain,
member(null_class,null_class),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,axiom,
( ~ member(X1,complement(X2))
| ~ member(X1,X2) ),
complement1 ).
cnf(c_0_16,plain,
( X1 = null_class
| member(null_class,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( complement(X1) = null_class
| ~ member(null_class,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,axiom,
member(omega,universal_class),
omega_in_universal ).
cnf(c_0_19,plain,
( ~ member(X1,null_class)
| ~ member(null_class,X2)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_17]) ).
cnf(c_0_20,plain,
member(null_class,universal_class),
inference(rw,[status(thm)],[c_0_18,c_0_8]) ).
cnf(c_0_21,plain,
~ member(null_class,X1),
inference(spm,[status(thm)],[c_0_19,c_0_14]) ).
cnf(c_0_22,plain,
$false,
inference(sr,[status(thm)],[c_0_20,c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM190-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.15 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n016.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 2400
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Oct 2 15:25:51 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.51 Running first-order theorem proving
% 0.21/0.51 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.qBTQoPItuH/E---3.1_21764.p
% 0.35/0.55 # Version: 3.1pre001
% 0.35/0.55 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.35/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/0.55 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.35/0.55 # Starting new_bool_3 with 300s (1) cores
% 0.35/0.55 # Starting new_bool_1 with 300s (1) cores
% 0.35/0.55 # Starting sh5l with 300s (1) cores
% 0.35/0.55 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 21842 completed with status 0
% 0.35/0.55 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.35/0.55 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.35/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/0.55 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.35/0.55 # No SInE strategy applied
% 0.35/0.55 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.35/0.55 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.35/0.55 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.35/0.55 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.35/0.55 # Starting new_bool_1 with 308s (1) cores
% 0.35/0.55 # Starting sh5l with 304s (1) cores
% 0.35/0.55 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.35/0.55 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 21853 completed with status 0
% 0.35/0.55 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.35/0.55 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.35/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/0.55 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.35/0.55 # No SInE strategy applied
% 0.35/0.55 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.35/0.55 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.35/0.55 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.35/0.55 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.35/0.55 # Starting new_bool_1 with 308s (1) cores
% 0.35/0.55 # Starting sh5l with 304s (1) cores
% 0.35/0.55 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.35/0.55 # Preprocessing time : 0.003 s
% 0.35/0.55 # Presaturation interreduction done
% 0.35/0.55
% 0.35/0.55 # Proof found!
% 0.35/0.55 # SZS status Unsatisfiable
% 0.35/0.55 # SZS output start CNFRefutation
% See solution above
% 0.35/0.55 # Parsed axioms : 159
% 0.35/0.55 # Removed by relevancy pruning/SinE : 0
% 0.35/0.55 # Initial clauses : 159
% 0.35/0.55 # Removed in clause preprocessing : 19
% 0.35/0.55 # Initial clauses in saturation : 140
% 0.35/0.55 # Processed clauses : 197
% 0.35/0.55 # ...of these trivial : 1
% 0.35/0.55 # ...subsumed : 0
% 0.35/0.55 # ...remaining for further processing : 196
% 0.35/0.55 # Other redundant clauses eliminated : 6
% 0.35/0.55 # Clauses deleted for lack of memory : 0
% 0.35/0.55 # Backward-subsumed : 2
% 0.35/0.55 # Backward-rewritten : 15
% 0.35/0.55 # Generated clauses : 42
% 0.35/0.55 # ...of the previous two non-redundant : 37
% 0.35/0.55 # ...aggressively subsumed : 0
% 0.35/0.55 # Contextual simplify-reflections : 0
% 0.35/0.55 # Paramodulations : 32
% 0.35/0.55 # Factorizations : 0
% 0.35/0.55 # NegExts : 0
% 0.35/0.55 # Equation resolutions : 6
% 0.35/0.55 # Total rewrite steps : 26
% 0.35/0.55 # Propositional unsat checks : 0
% 0.35/0.55 # Propositional check models : 0
% 0.35/0.55 # Propositional check unsatisfiable : 0
% 0.35/0.55 # Propositional clauses : 0
% 0.35/0.55 # Propositional clauses after purity: 0
% 0.35/0.55 # Propositional unsat core size : 0
% 0.35/0.55 # Propositional preprocessing time : 0.000
% 0.35/0.55 # Propositional encoding time : 0.000
% 0.35/0.55 # Propositional solver time : 0.000
% 0.35/0.55 # Success case prop preproc time : 0.000
% 0.35/0.55 # Success case prop encoding time : 0.000
% 0.35/0.55 # Success case prop solver time : 0.000
% 0.35/0.55 # Current number of processed clauses : 30
% 0.35/0.55 # Positive orientable unit clauses : 8
% 0.35/0.55 # Positive unorientable unit clauses: 0
% 0.35/0.55 # Negative unit clauses : 1
% 0.35/0.55 # Non-unit-clauses : 21
% 0.35/0.55 # Current number of unprocessed clauses: 117
% 0.35/0.55 # ...number of literals in the above : 268
% 0.35/0.55 # Current number of archived formulas : 0
% 0.35/0.55 # Current number of archived clauses : 179
% 0.35/0.55 # Clause-clause subsumption calls (NU) : 3110
% 0.35/0.55 # Rec. Clause-clause subsumption calls : 1498
% 0.35/0.55 # Non-unit clause-clause subsumptions : 0
% 0.35/0.55 # Unit Clause-clause subsumption calls : 37
% 0.35/0.55 # Rewrite failures with RHS unbound : 0
% 0.35/0.55 # BW rewrite match attempts : 16
% 0.35/0.55 # BW rewrite match successes : 11
% 0.35/0.55 # Condensation attempts : 0
% 0.35/0.55 # Condensation successes : 0
% 0.35/0.55 # Termbank termtop insertions : 9110
% 0.35/0.55
% 0.35/0.55 # -------------------------------------------------
% 0.35/0.55 # User time : 0.021 s
% 0.35/0.55 # System time : 0.005 s
% 0.35/0.55 # Total time : 0.026 s
% 0.35/0.55 # Maximum resident set size: 2216 pages
% 0.35/0.55
% 0.35/0.55 # -------------------------------------------------
% 0.35/0.55 # User time : 0.099 s
% 0.35/0.55 # System time : 0.013 s
% 0.35/0.55 # Total time : 0.112 s
% 0.35/0.55 # Maximum resident set size: 1812 pages
% 0.35/0.55 % E---3.1 exiting
% 0.35/0.55 % E---3.1 exiting
%------------------------------------------------------------------------------