TSTP Solution File: SET186-6 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET186-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 19:18:48 EDT 2023
% Result : Unsatisfiable 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 27 ( 10 unt; 7 nHn; 18 RR)
% Number of literals : 50 ( 5 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_subclass_property4_1,negated_conjecture,
union(x,y) = y,
file('/export/starexec/sandbox2/tmp/tmp.NKZ3WpwSyr/E---3.1_3753.p',prove_subclass_property4_1) ).
cnf(union,axiom,
complement(intersection(complement(X1),complement(X2))) = union(X1,X2),
file('/export/starexec/sandbox2/tmp/tmp.NKZ3WpwSyr/E---3.1_3753.p',union) ).
cnf(complement2,axiom,
( member(X1,complement(X2))
| member(X1,X2)
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox2/tmp/tmp.NKZ3WpwSyr/E---3.1_3753.p',complement2) ).
cnf(intersection1,axiom,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.NKZ3WpwSyr/E---3.1_3753.p',intersection1) ).
cnf(subclass_members,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.NKZ3WpwSyr/E---3.1_3753.p',subclass_members) ).
cnf(class_elements_are_sets,axiom,
subclass(X1,universal_class),
file('/export/starexec/sandbox2/tmp/tmp.NKZ3WpwSyr/E---3.1_3753.p',class_elements_are_sets) ).
cnf(complement1,axiom,
( ~ member(X1,complement(X2))
| ~ member(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.NKZ3WpwSyr/E---3.1_3753.p',complement1) ).
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X1,X2),X1)
| subclass(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.NKZ3WpwSyr/E---3.1_3753.p',not_subclass_members1) ).
cnf(not_subclass_members2,axiom,
( subclass(X1,X2)
| ~ member(not_subclass_element(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.NKZ3WpwSyr/E---3.1_3753.p',not_subclass_members2) ).
cnf(prove_subclass_property4_2,negated_conjecture,
~ subclass(x,y),
file('/export/starexec/sandbox2/tmp/tmp.NKZ3WpwSyr/E---3.1_3753.p',prove_subclass_property4_2) ).
cnf(c_0_10,negated_conjecture,
union(x,y) = y,
prove_subclass_property4_1 ).
cnf(c_0_11,axiom,
complement(intersection(complement(X1),complement(X2))) = union(X1,X2),
union ).
cnf(c_0_12,axiom,
( member(X1,complement(X2))
| member(X1,X2)
| ~ member(X1,universal_class) ),
complement2 ).
cnf(c_0_13,negated_conjecture,
complement(intersection(complement(x),complement(y))) = y,
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,axiom,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
intersection1 ).
cnf(c_0_15,negated_conjecture,
( member(X1,intersection(complement(x),complement(y)))
| member(X1,y)
| ~ member(X1,universal_class) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
subclass_members ).
cnf(c_0_17,axiom,
subclass(X1,universal_class),
class_elements_are_sets ).
cnf(c_0_18,axiom,
( ~ member(X1,complement(X2))
| ~ member(X1,X2) ),
complement1 ).
cnf(c_0_19,negated_conjecture,
( member(X1,complement(x))
| member(X1,y)
| ~ member(X1,universal_class) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( member(X1,universal_class)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( member(X1,y)
| ~ member(X1,x) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_22,axiom,
( member(not_subclass_element(X1,X2),X1)
| subclass(X1,X2) ),
not_subclass_members1 ).
cnf(c_0_23,axiom,
( subclass(X1,X2)
| ~ member(not_subclass_element(X1,X2),X2) ),
not_subclass_members2 ).
cnf(c_0_24,negated_conjecture,
( member(not_subclass_element(x,X1),y)
| subclass(x,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
~ subclass(x,y),
prove_subclass_property4_2 ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14 % Problem : SET186-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.10/0.15 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 2400
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Oct 2 16:54:54 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.18/0.44 Running first-order theorem proving
% 0.18/0.44 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.NKZ3WpwSyr/E---3.1_3753.p
% 0.18/0.49 # Version: 3.1pre001
% 0.18/0.49 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.49 # Starting sh5l with 300s (1) cores
% 0.18/0.49 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3831 completed with status 0
% 0.18/0.49 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.18/0.49 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.49 # No SInE strategy applied
% 0.18/0.49 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.18/0.49 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.49 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.18/0.49 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.18/0.49 # Starting new_bool_1 with 308s (1) cores
% 0.18/0.49 # Starting sh5l with 304s (1) cores
% 0.18/0.49 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.18/0.49 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 3839 completed with status 0
% 0.18/0.49 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.18/0.49 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.18/0.49 # No SInE strategy applied
% 0.18/0.49 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.18/0.49 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.49 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.18/0.49 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.18/0.49 # Preprocessing time : 0.003 s
% 0.18/0.49 # Presaturation interreduction done
% 0.18/0.49
% 0.18/0.49 # Proof found!
% 0.18/0.49 # SZS status Unsatisfiable
% 0.18/0.49 # SZS output start CNFRefutation
% See solution above
% 0.18/0.49 # Parsed axioms : 114
% 0.18/0.49 # Removed by relevancy pruning/SinE : 0
% 0.18/0.49 # Initial clauses : 114
% 0.18/0.49 # Removed in clause preprocessing : 17
% 0.18/0.49 # Initial clauses in saturation : 97
% 0.18/0.49 # Processed clauses : 355
% 0.18/0.49 # ...of these trivial : 0
% 0.18/0.49 # ...subsumed : 50
% 0.18/0.49 # ...remaining for further processing : 305
% 0.18/0.49 # Other redundant clauses eliminated : 4
% 0.18/0.49 # Clauses deleted for lack of memory : 0
% 0.18/0.49 # Backward-subsumed : 2
% 0.18/0.49 # Backward-rewritten : 27
% 0.18/0.49 # Generated clauses : 446
% 0.18/0.49 # ...of the previous two non-redundant : 423
% 0.18/0.49 # ...aggressively subsumed : 0
% 0.18/0.49 # Contextual simplify-reflections : 2
% 0.18/0.49 # Paramodulations : 442
% 0.18/0.49 # Factorizations : 0
% 0.18/0.49 # NegExts : 0
% 0.18/0.49 # Equation resolutions : 4
% 0.18/0.49 # Total rewrite steps : 81
% 0.18/0.49 # Propositional unsat checks : 0
% 0.18/0.49 # Propositional check models : 0
% 0.18/0.49 # Propositional check unsatisfiable : 0
% 0.18/0.49 # Propositional clauses : 0
% 0.18/0.49 # Propositional clauses after purity: 0
% 0.18/0.49 # Propositional unsat core size : 0
% 0.18/0.49 # Propositional preprocessing time : 0.000
% 0.18/0.49 # Propositional encoding time : 0.000
% 0.18/0.49 # Propositional solver time : 0.000
% 0.18/0.49 # Success case prop preproc time : 0.000
% 0.18/0.49 # Success case prop encoding time : 0.000
% 0.18/0.49 # Success case prop solver time : 0.000
% 0.18/0.49 # Current number of processed clauses : 176
% 0.18/0.49 # Positive orientable unit clauses : 25
% 0.18/0.49 # Positive unorientable unit clauses: 1
% 0.18/0.49 # Negative unit clauses : 1
% 0.18/0.49 # Non-unit-clauses : 149
% 0.18/0.49 # Current number of unprocessed clauses: 241
% 0.18/0.49 # ...number of literals in the above : 727
% 0.18/0.49 # Current number of archived formulas : 0
% 0.18/0.49 # Current number of archived clauses : 142
% 0.18/0.49 # Clause-clause subsumption calls (NU) : 5666
% 0.18/0.49 # Rec. Clause-clause subsumption calls : 3002
% 0.18/0.49 # Non-unit clause-clause subsumptions : 54
% 0.18/0.49 # Unit Clause-clause subsumption calls : 13
% 0.18/0.49 # Rewrite failures with RHS unbound : 0
% 0.18/0.49 # BW rewrite match attempts : 8
% 0.18/0.49 # BW rewrite match successes : 4
% 0.18/0.49 # Condensation attempts : 0
% 0.18/0.49 # Condensation successes : 0
% 0.18/0.49 # Termbank termtop insertions : 19878
% 0.18/0.49
% 0.18/0.49 # -------------------------------------------------
% 0.18/0.49 # User time : 0.029 s
% 0.18/0.49 # System time : 0.006 s
% 0.18/0.49 # Total time : 0.035 s
% 0.18/0.49 # Maximum resident set size: 2004 pages
% 0.18/0.49
% 0.18/0.49 # -------------------------------------------------
% 0.18/0.49 # User time : 0.145 s
% 0.18/0.49 # System time : 0.016 s
% 0.18/0.49 # Total time : 0.161 s
% 0.18/0.49 # Maximum resident set size: 1772 pages
% 0.18/0.49 % E---3.1 exiting
% 0.18/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------