TSTP Solution File: SET201-6 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET201-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.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 19:22:27 EDT 2023
% Result : Unsatisfiable 2.10s 0.75s
% Output : CNFRefutation 2.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of clauses : 37 ( 11 unt; 5 nHn; 28 RR)
% Number of literals : 70 ( 3 equ; 30 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; 4 con; 0-2 aty)
% Number of variables : 65 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.7qwZ6ig6BA/E---3.1_16347.p',subclass_members) ).
cnf(prove_intersection_is_monotonic_2,negated_conjecture,
subclass(z,w),
file('/export/starexec/sandbox/tmp/tmp.7qwZ6ig6BA/E---3.1_16347.p',prove_intersection_is_monotonic_2) ).
cnf(not_subclass_members2,axiom,
( subclass(X1,X2)
| ~ member(not_subclass_element(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/tmp.7qwZ6ig6BA/E---3.1_16347.p',not_subclass_members2) ).
cnf(intersection1,axiom,
( member(X1,X2)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.7qwZ6ig6BA/E---3.1_16347.p',intersection1) ).
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X1,X2),X1)
| subclass(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.7qwZ6ig6BA/E---3.1_16347.p',not_subclass_members1) ).
cnf(intersection3,axiom,
( member(X1,intersection(X2,X3))
| ~ member(X1,X2)
| ~ member(X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.7qwZ6ig6BA/E---3.1_16347.p',intersection3) ).
cnf(intersection2,axiom,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.7qwZ6ig6BA/E---3.1_16347.p',intersection2) ).
cnf(prove_intersection_is_monotonic_1,negated_conjecture,
subclass(x,y),
file('/export/starexec/sandbox/tmp/tmp.7qwZ6ig6BA/E---3.1_16347.p',prove_intersection_is_monotonic_1) ).
cnf(subclass_implies_equal,axiom,
( X1 = X2
| ~ subclass(X1,X2)
| ~ subclass(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.7qwZ6ig6BA/E---3.1_16347.p',subclass_implies_equal) ).
cnf(prove_intersection_is_monotonic_3,negated_conjecture,
~ subclass(intersection(x,z),intersection(y,w)),
file('/export/starexec/sandbox/tmp/tmp.7qwZ6ig6BA/E---3.1_16347.p',prove_intersection_is_monotonic_3) ).
cnf(c_0_10,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
subclass_members ).
cnf(c_0_11,negated_conjecture,
subclass(z,w),
prove_intersection_is_monotonic_2 ).
cnf(c_0_12,axiom,
( subclass(X1,X2)
| ~ member(not_subclass_element(X1,X2),X2) ),
not_subclass_members2 ).
cnf(c_0_13,negated_conjecture,
( member(X1,w)
| ~ member(X1,z) ),
inference(spm,[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,axiom,
( member(not_subclass_element(X1,X2),X1)
| subclass(X1,X2) ),
not_subclass_members1 ).
cnf(c_0_16,negated_conjecture,
( subclass(X1,w)
| ~ member(not_subclass_element(X1,w),z) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
( member(not_subclass_element(intersection(X1,X2),X3),X1)
| subclass(intersection(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
subclass(intersection(z,X1),w),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,axiom,
( member(X1,intersection(X2,X3))
| ~ member(X1,X2)
| ~ member(X1,X3) ),
intersection3 ).
cnf(c_0_20,negated_conjecture,
( member(X1,w)
| ~ member(X1,intersection(z,X2)) ),
inference(spm,[status(thm)],[c_0_10,c_0_18]) ).
cnf(c_0_21,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_12,c_0_19]) ).
cnf(c_0_22,axiom,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
intersection2 ).
cnf(c_0_23,negated_conjecture,
( member(not_subclass_element(intersection(z,X1),X2),w)
| subclass(intersection(z,X1),X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_15]) ).
cnf(c_0_24,negated_conjecture,
subclass(x,y),
prove_intersection_is_monotonic_1 ).
cnf(c_0_25,plain,
( subclass(X1,intersection(X2,X1))
| ~ member(not_subclass_element(X1,intersection(X2,X1)),X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_15]) ).
cnf(c_0_26,plain,
( member(not_subclass_element(intersection(X1,X2),X3),X2)
| subclass(intersection(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_15]) ).
cnf(c_0_27,negated_conjecture,
( subclass(intersection(z,X1),intersection(X2,w))
| ~ member(not_subclass_element(intersection(z,X1),intersection(X2,w)),X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
( member(X1,y)
| ~ member(X1,x) ),
inference(spm,[status(thm)],[c_0_10,c_0_24]) ).
cnf(c_0_29,axiom,
( X1 = X2
| ~ subclass(X1,X2)
| ~ subclass(X2,X1) ),
subclass_implies_equal ).
cnf(c_0_30,plain,
subclass(intersection(X1,X2),intersection(X2,intersection(X1,X2))),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
subclass(intersection(X1,X2),X2),
inference(spm,[status(thm)],[c_0_12,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( subclass(intersection(z,X1),intersection(y,w))
| ~ member(not_subclass_element(intersection(z,X1),intersection(y,w)),x) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_33,plain,
intersection(X1,intersection(X2,X1)) = intersection(X2,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_34,negated_conjecture,
( subclass(intersection(X1,z),intersection(y,w))
| ~ member(not_subclass_element(intersection(X1,z),intersection(y,w)),x) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_35,negated_conjecture,
~ subclass(intersection(x,z),intersection(y,w)),
prove_intersection_is_monotonic_3 ).
cnf(c_0_36,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_17]),c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SET201-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.05/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 2400
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Oct 2 16:25:20 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.44 Running first-order model finding
% 0.18/0.44 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.7qwZ6ig6BA/E---3.1_16347.p
% 2.10/0.75 # Version: 3.1pre001
% 2.10/0.75 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.10/0.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.10/0.75 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.10/0.75 # Starting new_bool_3 with 300s (1) cores
% 2.10/0.75 # Starting new_bool_1 with 300s (1) cores
% 2.10/0.75 # Starting sh5l with 300s (1) cores
% 2.10/0.75 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 16424 completed with status 0
% 2.10/0.75 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.10/0.75 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.10/0.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.10/0.75 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.10/0.75 # No SInE strategy applied
% 2.10/0.75 # Search class: FGHSM-FFLM31-DFFFFFNN
% 2.10/0.75 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.10/0.75 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 2.10/0.75 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.10/0.75 # Starting new_bool_1 with 308s (1) cores
% 2.10/0.75 # Starting sh5l with 304s (1) cores
% 2.10/0.75 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2.10/0.75 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 16432 completed with status 0
% 2.10/0.75 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 2.10/0.75 # Preprocessing class: FSLSSMSMSSSNFFN.
% 2.10/0.75 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.10/0.75 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 2.10/0.75 # No SInE strategy applied
% 2.10/0.75 # Search class: FGHSM-FFLM31-DFFFFFNN
% 2.10/0.75 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.10/0.75 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 2.10/0.75 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 2.10/0.75 # Preprocessing time : 0.003 s
% 2.10/0.75 # Presaturation interreduction done
% 2.10/0.75
% 2.10/0.75 # Proof found!
% 2.10/0.75 # SZS status Unsatisfiable
% 2.10/0.75 # SZS output start CNFRefutation
% See solution above
% 2.10/0.75 # Parsed axioms : 115
% 2.10/0.75 # Removed by relevancy pruning/SinE : 0
% 2.10/0.75 # Initial clauses : 115
% 2.10/0.75 # Removed in clause preprocessing : 17
% 2.10/0.75 # Initial clauses in saturation : 98
% 2.10/0.75 # Processed clauses : 2446
% 2.10/0.75 # ...of these trivial : 21
% 2.10/0.75 # ...subsumed : 1446
% 2.10/0.75 # ...remaining for further processing : 979
% 2.10/0.75 # Other redundant clauses eliminated : 10
% 2.10/0.75 # Clauses deleted for lack of memory : 0
% 2.10/0.75 # Backward-subsumed : 33
% 2.10/0.75 # Backward-rewritten : 131
% 2.10/0.75 # Generated clauses : 8495
% 2.10/0.75 # ...of the previous two non-redundant : 7429
% 2.10/0.75 # ...aggressively subsumed : 0
% 2.10/0.75 # Contextual simplify-reflections : 20
% 2.10/0.75 # Paramodulations : 8479
% 2.10/0.75 # Factorizations : 6
% 2.10/0.75 # NegExts : 0
% 2.10/0.75 # Equation resolutions : 10
% 2.10/0.75 # Total rewrite steps : 2354
% 2.10/0.75 # Propositional unsat checks : 0
% 2.10/0.75 # Propositional check models : 0
% 2.10/0.75 # Propositional check unsatisfiable : 0
% 2.10/0.75 # Propositional clauses : 0
% 2.10/0.75 # Propositional clauses after purity: 0
% 2.10/0.75 # Propositional unsat core size : 0
% 2.10/0.75 # Propositional preprocessing time : 0.000
% 2.10/0.75 # Propositional encoding time : 0.000
% 2.10/0.75 # Propositional solver time : 0.000
% 2.10/0.75 # Success case prop preproc time : 0.000
% 2.10/0.75 # Success case prop encoding time : 0.000
% 2.10/0.75 # Success case prop solver time : 0.000
% 2.10/0.75 # Current number of processed clauses : 714
% 2.10/0.75 # Positive orientable unit clauses : 99
% 2.10/0.75 # Positive unorientable unit clauses: 1
% 2.10/0.75 # Negative unit clauses : 5
% 2.10/0.75 # Non-unit-clauses : 609
% 2.10/0.75 # Current number of unprocessed clauses: 4972
% 2.10/0.75 # ...number of literals in the above : 18787
% 2.10/0.75 # Current number of archived formulas : 0
% 2.10/0.75 # Current number of archived clauses : 278
% 2.10/0.75 # Clause-clause subsumption calls (NU) : 95646
% 2.10/0.75 # Rec. Clause-clause subsumption calls : 51203
% 2.10/0.75 # Non-unit clause-clause subsumptions : 1293
% 2.10/0.75 # Unit Clause-clause subsumption calls : 3793
% 2.10/0.75 # Rewrite failures with RHS unbound : 0
% 2.10/0.75 # BW rewrite match attempts : 172
% 2.10/0.75 # BW rewrite match successes : 54
% 2.10/0.75 # Condensation attempts : 0
% 2.10/0.75 # Condensation successes : 0
% 2.10/0.75 # Termbank termtop insertions : 392837
% 2.10/0.75
% 2.10/0.75 # -------------------------------------------------
% 2.10/0.75 # User time : 0.294 s
% 2.10/0.75 # System time : 0.008 s
% 2.10/0.75 # Total time : 0.301 s
% 2.10/0.75 # Maximum resident set size: 2004 pages
% 2.10/0.75
% 2.10/0.75 # -------------------------------------------------
% 2.10/0.75 # User time : 1.455 s
% 2.10/0.75 # System time : 0.036 s
% 2.10/0.75 # Total time : 1.491 s
% 2.10/0.75 # Maximum resident set size: 1776 pages
% 2.10/0.75 % E---3.1 exiting
%------------------------------------------------------------------------------