TSTP Solution File: SET098-7 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET098-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.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 19:18:29 EDT 2023
% Result : Unsatisfiable 0.16s 0.48s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 17 ( 10 unt; 5 nHn; 12 RR)
% Number of literals : 26 ( 12 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(intersection2,axiom,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.y4WY328x0t/E---3.1_3310.p',intersection2) ).
cnf(null_class_is_unique,axiom,
( X1 = null_class
| member(not_subclass_element(X1,null_class),X1) ),
file('/export/starexec/sandbox/tmp/tmp.y4WY328x0t/E---3.1_3310.p',null_class_is_unique) ).
cnf(prove_corollary_1_to_number_of_elements_in_class_1,negated_conjecture,
~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),x),
file('/export/starexec/sandbox/tmp/tmp.y4WY328x0t/E---3.1_3310.p',prove_corollary_1_to_number_of_elements_in_class_1) ).
cnf(number_of_elements_in_class,axiom,
( member(not_subclass_element(intersection(complement(singleton(not_subclass_element(X1,null_class))),X1),null_class),intersection(complement(singleton(not_subclass_element(X1,null_class))),X1))
| singleton(not_subclass_element(X1,null_class)) = X1
| X1 = null_class ),
file('/export/starexec/sandbox/tmp/tmp.y4WY328x0t/E---3.1_3310.p',number_of_elements_in_class) ).
cnf(prove_corollary_1_to_number_of_elements_in_class_2,negated_conjecture,
singleton(not_subclass_element(x,null_class)) != x,
file('/export/starexec/sandbox/tmp/tmp.y4WY328x0t/E---3.1_3310.p',prove_corollary_1_to_number_of_elements_in_class_2) ).
cnf(prove_corollary_1_to_number_of_elements_in_class_3,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox/tmp/tmp.y4WY328x0t/E---3.1_3310.p',prove_corollary_1_to_number_of_elements_in_class_3) ).
cnf(existence_of_null_class,axiom,
~ member(X1,null_class),
file('/export/starexec/sandbox/tmp/tmp.y4WY328x0t/E---3.1_3310.p',existence_of_null_class) ).
cnf(c_0_7,axiom,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
intersection2 ).
cnf(c_0_8,axiom,
( X1 = null_class
| member(not_subclass_element(X1,null_class),X1) ),
null_class_is_unique ).
cnf(c_0_9,negated_conjecture,
~ member(not_subclass_element(intersection(complement(singleton(not_subclass_element(x,null_class))),x),null_class),x),
prove_corollary_1_to_number_of_elements_in_class_1 ).
cnf(c_0_10,plain,
( intersection(X1,X2) = null_class
| member(not_subclass_element(intersection(X1,X2),null_class),X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,axiom,
( member(not_subclass_element(intersection(complement(singleton(not_subclass_element(X1,null_class))),X1),null_class),intersection(complement(singleton(not_subclass_element(X1,null_class))),X1))
| singleton(not_subclass_element(X1,null_class)) = X1
| X1 = null_class ),
number_of_elements_in_class ).
cnf(c_0_12,negated_conjecture,
intersection(complement(singleton(not_subclass_element(x,null_class))),x) = null_class,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
singleton(not_subclass_element(x,null_class)) != x,
prove_corollary_1_to_number_of_elements_in_class_2 ).
cnf(c_0_14,negated_conjecture,
x != null_class,
prove_corollary_1_to_number_of_elements_in_class_3 ).
cnf(c_0_15,axiom,
~ member(X1,null_class),
existence_of_null_class ).
cnf(c_0_16,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SET098-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n003.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Oct 2 16:49:33 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.44 Running first-order theorem proving
% 0.16/0.44 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.y4WY328x0t/E---3.1_3310.p
% 0.16/0.48 # Version: 3.1pre001
% 0.16/0.48 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.48 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.48 # Starting sh5l with 300s (1) cores
% 0.16/0.48 # sh5l with pid 3391 completed with status 0
% 0.16/0.48 # Result found by sh5l
% 0.16/0.48 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.48 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.48 # Starting sh5l with 300s (1) cores
% 0.16/0.48 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.48 # Search class: FGHSM-FFMM31-MFFFFFNN
% 0.16/0.48 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.48 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.16/0.48 # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 3394 completed with status 0
% 0.16/0.48 # Result found by G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S
% 0.16/0.48 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.48 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.48 # Starting sh5l with 300s (1) cores
% 0.16/0.48 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.48 # Search class: FGHSM-FFMM31-MFFFFFNN
% 0.16/0.48 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.48 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.16/0.48 # Preprocessing time : 0.002 s
% 0.16/0.48 # Presaturation interreduction done
% 0.16/0.48
% 0.16/0.48 # Proof found!
% 0.16/0.48 # SZS status Unsatisfiable
% 0.16/0.48 # SZS output start CNFRefutation
% See solution above
% 0.16/0.48 # Parsed axioms : 144
% 0.16/0.48 # Removed by relevancy pruning/SinE : 9
% 0.16/0.48 # Initial clauses : 135
% 0.16/0.48 # Removed in clause preprocessing : 0
% 0.16/0.48 # Initial clauses in saturation : 135
% 0.16/0.48 # Processed clauses : 319
% 0.16/0.48 # ...of these trivial : 2
% 0.16/0.48 # ...subsumed : 23
% 0.16/0.48 # ...remaining for further processing : 294
% 0.16/0.48 # Other redundant clauses eliminated : 2
% 0.16/0.48 # Clauses deleted for lack of memory : 0
% 0.16/0.48 # Backward-subsumed : 0
% 0.16/0.48 # Backward-rewritten : 3
% 0.16/0.48 # Generated clauses : 710
% 0.16/0.48 # ...of the previous two non-redundant : 616
% 0.16/0.48 # ...aggressively subsumed : 0
% 0.16/0.48 # Contextual simplify-reflections : 0
% 0.16/0.48 # Paramodulations : 701
% 0.16/0.48 # Factorizations : 2
% 0.16/0.48 # NegExts : 0
% 0.16/0.48 # Equation resolutions : 7
% 0.16/0.48 # Total rewrite steps : 102
% 0.16/0.48 # Propositional unsat checks : 0
% 0.16/0.48 # Propositional check models : 0
% 0.16/0.48 # Propositional check unsatisfiable : 0
% 0.16/0.48 # Propositional clauses : 0
% 0.16/0.48 # Propositional clauses after purity: 0
% 0.16/0.48 # Propositional unsat core size : 0
% 0.16/0.48 # Propositional preprocessing time : 0.000
% 0.16/0.48 # Propositional encoding time : 0.000
% 0.16/0.48 # Propositional solver time : 0.000
% 0.16/0.48 # Success case prop preproc time : 0.000
% 0.16/0.48 # Success case prop encoding time : 0.000
% 0.16/0.48 # Success case prop solver time : 0.000
% 0.16/0.48 # Current number of processed clauses : 158
% 0.16/0.48 # Positive orientable unit clauses : 45
% 0.16/0.48 # Positive unorientable unit clauses: 2
% 0.16/0.48 # Negative unit clauses : 5
% 0.16/0.48 # Non-unit-clauses : 106
% 0.16/0.48 # Current number of unprocessed clauses: 560
% 0.16/0.48 # ...number of literals in the above : 1350
% 0.16/0.48 # Current number of archived formulas : 0
% 0.16/0.48 # Current number of archived clauses : 134
% 0.16/0.48 # Clause-clause subsumption calls (NU) : 2948
% 0.16/0.48 # Rec. Clause-clause subsumption calls : 2510
% 0.16/0.48 # Non-unit clause-clause subsumptions : 16
% 0.16/0.48 # Unit Clause-clause subsumption calls : 456
% 0.16/0.48 # Rewrite failures with RHS unbound : 0
% 0.16/0.48 # BW rewrite match attempts : 29
% 0.16/0.48 # BW rewrite match successes : 21
% 0.16/0.48 # Condensation attempts : 0
% 0.16/0.48 # Condensation successes : 0
% 0.16/0.48 # Termbank termtop insertions : 11627
% 0.16/0.48
% 0.16/0.48 # -------------------------------------------------
% 0.16/0.48 # User time : 0.021 s
% 0.16/0.48 # System time : 0.004 s
% 0.16/0.48 # Total time : 0.025 s
% 0.16/0.48 # Maximum resident set size: 2020 pages
% 0.16/0.48
% 0.16/0.48 # -------------------------------------------------
% 0.16/0.48 # User time : 0.026 s
% 0.16/0.48 # System time : 0.005 s
% 0.16/0.48 # Total time : 0.031 s
% 0.16/0.48 # Maximum resident set size: 1788 pages
% 0.16/0.48 % E---3.1 exiting
% 0.16/0.48 % E---3.1 exiting
%------------------------------------------------------------------------------