TSTP Solution File: SET144-6 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET144-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 19:22:16 EDT 2023
% Result : Unsatisfiable 3.69s 1.02s
% Output : CNFRefutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 5 unt; 4 nHn; 15 RR)
% Number of literals : 42 ( 5 equ; 19 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 46 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_subclass_members2,axiom,
( subclass(X1,X2)
| ~ member(not_subclass_element(X1,X2),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.dZyNs2T8Vg/E---3.1_31983.p',not_subclass_members2) ).
cnf(intersection3,axiom,
( member(X1,intersection(X2,X3))
| ~ member(X1,X2)
| ~ member(X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.dZyNs2T8Vg/E---3.1_31983.p',intersection3) ).
cnf(intersection1,axiom,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.dZyNs2T8Vg/E---3.1_31983.p',intersection1) ).
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X1,X2),X1)
| subclass(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.dZyNs2T8Vg/E---3.1_31983.p',not_subclass_members1) ).
cnf(intersection2,axiom,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.dZyNs2T8Vg/E---3.1_31983.p',intersection2) ).
cnf(subclass_implies_equal,axiom,
( X1 = X2
| ~ subclass(X1,X2)
| ~ subclass(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.dZyNs2T8Vg/E---3.1_31983.p',subclass_implies_equal) ).
cnf(prove_commutativity_of_intersection_1,negated_conjecture,
intersection(x,y) != intersection(y,x),
file('/export/starexec/sandbox2/tmp/tmp.dZyNs2T8Vg/E---3.1_31983.p',prove_commutativity_of_intersection_1) ).
cnf(c_0_7,axiom,
( subclass(X1,X2)
| ~ member(not_subclass_element(X1,X2),X2) ),
not_subclass_members2 ).
cnf(c_0_8,axiom,
( member(X1,intersection(X2,X3))
| ~ member(X1,X2)
| ~ member(X1,X3) ),
intersection3 ).
cnf(c_0_9,axiom,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
intersection1 ).
cnf(c_0_10,axiom,
( member(not_subclass_element(X1,X2),X1)
| subclass(X1,X2) ),
not_subclass_members1 ).
cnf(c_0_11,plain,
( subclass(X1,intersection(X2,X3))
| ~ member(not_subclass_element(X1,intersection(X2,X3)),X3)
| ~ member(not_subclass_element(X1,intersection(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
( member(not_subclass_element(intersection(X1,X2),X3),X1)
| subclass(intersection(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,axiom,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
intersection2 ).
cnf(c_0_14,plain,
( subclass(intersection(X1,X2),intersection(X3,X1))
| ~ member(not_subclass_element(intersection(X1,X2),intersection(X3,X1)),X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
( member(not_subclass_element(intersection(X1,X2),X3),X2)
| subclass(intersection(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_10]) ).
cnf(c_0_16,axiom,
( X1 = X2
| ~ subclass(X1,X2)
| ~ subclass(X2,X1) ),
subclass_implies_equal ).
cnf(c_0_17,plain,
subclass(intersection(X1,X2),intersection(X2,X1)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
intersection(x,y) != intersection(y,x),
prove_commutativity_of_intersection_1 ).
cnf(c_0_19,plain,
intersection(X1,X2) = intersection(X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_17])]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET144-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 2400
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Oct 2 17:11:36 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 Running first-order model finding
% 0.21/0.50 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.dZyNs2T8Vg/E---3.1_31983.p
% 3.69/1.02 # Version: 3.1pre001
% 3.69/1.02 # Preprocessing class: FSLSSMSMSSSNFFN.
% 3.69/1.02 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.69/1.02 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.69/1.02 # Starting new_bool_3 with 300s (1) cores
% 3.69/1.02 # Starting new_bool_1 with 300s (1) cores
% 3.69/1.02 # Starting sh5l with 300s (1) cores
% 3.69/1.02 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 32060 completed with status 0
% 3.69/1.02 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 3.69/1.02 # Preprocessing class: FSLSSMSMSSSNFFN.
% 3.69/1.02 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.69/1.02 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.69/1.02 # No SInE strategy applied
% 3.69/1.02 # Search class: FGHSM-FFLM31-DFFFFFNN
% 3.69/1.02 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.69/1.02 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 3.69/1.02 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 3.69/1.02 # Starting new_bool_1 with 308s (1) cores
% 3.69/1.02 # Starting sh5l with 304s (1) cores
% 3.69/1.02 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 3.69/1.02 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 32070 completed with status 0
% 3.69/1.02 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 3.69/1.02 # Preprocessing class: FSLSSMSMSSSNFFN.
% 3.69/1.02 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.69/1.02 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 3.69/1.02 # No SInE strategy applied
% 3.69/1.02 # Search class: FGHSM-FFLM31-DFFFFFNN
% 3.69/1.02 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.69/1.02 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 3.69/1.02 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 3.69/1.02 # Preprocessing time : 0.003 s
% 3.69/1.02 # Presaturation interreduction done
% 3.69/1.02
% 3.69/1.02 # Proof found!
% 3.69/1.02 # SZS status Unsatisfiable
% 3.69/1.02 # SZS output start CNFRefutation
% See solution above
% 3.69/1.02 # Parsed axioms : 113
% 3.69/1.02 # Removed by relevancy pruning/SinE : 0
% 3.69/1.02 # Initial clauses : 113
% 3.69/1.02 # Removed in clause preprocessing : 17
% 3.69/1.02 # Initial clauses in saturation : 96
% 3.69/1.02 # Processed clauses : 4610
% 3.69/1.02 # ...of these trivial : 116
% 3.69/1.02 # ...subsumed : 3149
% 3.69/1.02 # ...remaining for further processing : 1345
% 3.69/1.02 # Other redundant clauses eliminated : 18
% 3.69/1.02 # Clauses deleted for lack of memory : 0
% 3.69/1.02 # Backward-subsumed : 44
% 3.69/1.02 # Backward-rewritten : 356
% 3.69/1.02 # Generated clauses : 21513
% 3.69/1.02 # ...of the previous two non-redundant : 17879
% 3.69/1.02 # ...aggressively subsumed : 0
% 3.69/1.02 # Contextual simplify-reflections : 27
% 3.69/1.02 # Paramodulations : 21481
% 3.69/1.02 # Factorizations : 14
% 3.69/1.02 # NegExts : 0
% 3.69/1.02 # Equation resolutions : 18
% 3.69/1.02 # Total rewrite steps : 7131
% 3.69/1.02 # Propositional unsat checks : 0
% 3.69/1.02 # Propositional check models : 0
% 3.69/1.02 # Propositional check unsatisfiable : 0
% 3.69/1.02 # Propositional clauses : 0
% 3.69/1.02 # Propositional clauses after purity: 0
% 3.69/1.02 # Propositional unsat core size : 0
% 3.69/1.02 # Propositional preprocessing time : 0.000
% 3.69/1.02 # Propositional encoding time : 0.000
% 3.69/1.02 # Propositional solver time : 0.000
% 3.69/1.02 # Success case prop preproc time : 0.000
% 3.69/1.02 # Success case prop encoding time : 0.000
% 3.69/1.02 # Success case prop solver time : 0.000
% 3.69/1.02 # Current number of processed clauses : 846
% 3.69/1.02 # Positive orientable unit clauses : 109
% 3.69/1.02 # Positive unorientable unit clauses: 1
% 3.69/1.02 # Negative unit clauses : 11
% 3.69/1.02 # Non-unit-clauses : 725
% 3.69/1.02 # Current number of unprocessed clauses: 13111
% 3.69/1.02 # ...number of literals in the above : 46576
% 3.69/1.02 # Current number of archived formulas : 0
% 3.69/1.02 # Current number of archived clauses : 512
% 3.69/1.02 # Clause-clause subsumption calls (NU) : 134560
% 3.69/1.02 # Rec. Clause-clause subsumption calls : 74221
% 3.69/1.02 # Non-unit clause-clause subsumptions : 2482
% 3.69/1.02 # Unit Clause-clause subsumption calls : 4766
% 3.69/1.02 # Rewrite failures with RHS unbound : 0
% 3.69/1.02 # BW rewrite match attempts : 509
% 3.69/1.02 # BW rewrite match successes : 385
% 3.69/1.02 # Condensation attempts : 0
% 3.69/1.02 # Condensation successes : 0
% 3.69/1.02 # Termbank termtop insertions : 826079
% 3.69/1.02
% 3.69/1.02 # -------------------------------------------------
% 3.69/1.02 # User time : 0.431 s
% 3.69/1.02 # System time : 0.016 s
% 3.69/1.02 # Total time : 0.446 s
% 3.69/1.02 # Maximum resident set size: 2000 pages
% 3.69/1.02
% 3.69/1.02 # -------------------------------------------------
% 3.69/1.02 # User time : 2.094 s
% 3.69/1.02 # System time : 0.041 s
% 3.69/1.02 # Total time : 2.135 s
% 3.69/1.02 # Maximum resident set size: 1772 pages
% 3.69/1.02 % E---3.1 exiting
%------------------------------------------------------------------------------