TSTP Solution File: SET053-6 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET053-6 : 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 19:18:10 EDT 2023
% Result : Unsatisfiable 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 13 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 20 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.VymXydUtvm/E---3.1_7228.p',subclass_members) ).
cnf(class_elements_are_sets,axiom,
subclass(X1,universal_class),
file('/export/starexec/sandbox/tmp/tmp.VymXydUtvm/E---3.1_7228.p',class_elements_are_sets) ).
cnf(cartesian_product2,axiom,
( member(X2,X4)
| ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
file('/export/starexec/sandbox/tmp/tmp.VymXydUtvm/E---3.1_7228.p',cartesian_product2) ).
cnf(prove_corollary_2_to_cartesian_product_1,negated_conjecture,
member(ordered_pair(u,v),cross_product(x,y)),
file('/export/starexec/sandbox/tmp/tmp.VymXydUtvm/E---3.1_7228.p',prove_corollary_2_to_cartesian_product_1) ).
cnf(prove_corollary_2_to_cartesian_product_2,negated_conjecture,
~ member(v,universal_class),
file('/export/starexec/sandbox/tmp/tmp.VymXydUtvm/E---3.1_7228.p',prove_corollary_2_to_cartesian_product_2) ).
cnf(c_0_5,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
subclass_members ).
cnf(c_0_6,axiom,
subclass(X1,universal_class),
class_elements_are_sets ).
cnf(c_0_7,axiom,
( member(X2,X4)
| ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
cartesian_product2 ).
cnf(c_0_8,negated_conjecture,
member(ordered_pair(u,v),cross_product(x,y)),
prove_corollary_2_to_cartesian_product_1 ).
cnf(c_0_9,plain,
( member(X1,universal_class)
| ~ member(X1,X2) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,negated_conjecture,
member(v,y),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
~ member(v,universal_class),
prove_corollary_2_to_cartesian_product_2 ).
cnf(c_0_12,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET053-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Oct 2 16:32:18 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.19/0.48 Running first-order theorem proving
% 0.19/0.48 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.VymXydUtvm/E---3.1_7228.p
% 0.19/0.50 # Version: 3.1pre001
% 0.19/0.50 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.50 # Starting sh5l with 300s (1) cores
% 0.19/0.50 # new_bool_3 with pid 7307 completed with status 0
% 0.19/0.50 # Result found by new_bool_3
% 0.19/0.50 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.50 # Search class: FHUSF-FFSF22-SFFFFFNN
% 0.19/0.50 # partial match(1): FHUSM-FFSF22-SFFFFFNN
% 0.19/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50 # Starting G----_Y1346__C12_02_nc_F1_AE_CS_SP_S2S with 181s (1) cores
% 0.19/0.50 # G----_Y1346__C12_02_nc_F1_AE_CS_SP_S2S with pid 7310 completed with status 0
% 0.19/0.50 # Result found by G----_Y1346__C12_02_nc_F1_AE_CS_SP_S2S
% 0.19/0.50 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.50 # Search class: FHUSF-FFSF22-SFFFFFNN
% 0.19/0.50 # partial match(1): FHUSM-FFSF22-SFFFFFNN
% 0.19/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.50 # Starting G----_Y1346__C12_02_nc_F1_AE_CS_SP_S2S with 181s (1) cores
% 0.19/0.50 # Preprocessing time : 0.002 s
% 0.19/0.50 # Presaturation interreduction done
% 0.19/0.50
% 0.19/0.50 # Proof found!
% 0.19/0.50 # SZS status Unsatisfiable
% 0.19/0.50 # SZS output start CNFRefutation
% See solution above
% 0.19/0.50 # Parsed axioms : 93
% 0.19/0.50 # Removed by relevancy pruning/SinE : 83
% 0.19/0.50 # Initial clauses : 10
% 0.19/0.50 # Removed in clause preprocessing : 0
% 0.19/0.50 # Initial clauses in saturation : 10
% 0.19/0.50 # Processed clauses : 22
% 0.19/0.50 # ...of these trivial : 0
% 0.19/0.50 # ...subsumed : 0
% 0.19/0.50 # ...remaining for further processing : 22
% 0.19/0.50 # Other redundant clauses eliminated : 2
% 0.19/0.50 # Clauses deleted for lack of memory : 0
% 0.19/0.50 # Backward-subsumed : 0
% 0.19/0.50 # Backward-rewritten : 0
% 0.19/0.50 # Generated clauses : 9
% 0.19/0.50 # ...of the previous two non-redundant : 5
% 0.19/0.50 # ...aggressively subsumed : 0
% 0.19/0.50 # Contextual simplify-reflections : 0
% 0.19/0.50 # Paramodulations : 7
% 0.19/0.50 # Factorizations : 0
% 0.19/0.50 # NegExts : 0
% 0.19/0.50 # Equation resolutions : 2
% 0.19/0.50 # Total rewrite steps : 2
% 0.19/0.50 # Propositional unsat checks : 0
% 0.19/0.50 # Propositional check models : 0
% 0.19/0.50 # Propositional check unsatisfiable : 0
% 0.19/0.50 # Propositional clauses : 0
% 0.19/0.50 # Propositional clauses after purity: 0
% 0.19/0.50 # Propositional unsat core size : 0
% 0.19/0.50 # Propositional preprocessing time : 0.000
% 0.19/0.50 # Propositional encoding time : 0.000
% 0.19/0.50 # Propositional solver time : 0.000
% 0.19/0.50 # Success case prop preproc time : 0.000
% 0.19/0.50 # Success case prop encoding time : 0.000
% 0.19/0.50 # Success case prop solver time : 0.000
% 0.19/0.50 # Current number of processed clauses : 11
% 0.19/0.50 # Positive orientable unit clauses : 5
% 0.19/0.50 # Positive unorientable unit clauses: 0
% 0.19/0.50 # Negative unit clauses : 1
% 0.19/0.50 # Non-unit-clauses : 5
% 0.19/0.50 # Current number of unprocessed clauses: 2
% 0.19/0.50 # ...number of literals in the above : 5
% 0.19/0.50 # Current number of archived formulas : 0
% 0.19/0.50 # Current number of archived clauses : 9
% 0.19/0.50 # Clause-clause subsumption calls (NU) : 2
% 0.19/0.50 # Rec. Clause-clause subsumption calls : 2
% 0.19/0.50 # Non-unit clause-clause subsumptions : 0
% 0.19/0.50 # Unit Clause-clause subsumption calls : 0
% 0.19/0.50 # Rewrite failures with RHS unbound : 0
% 0.19/0.50 # BW rewrite match attempts : 2
% 0.19/0.50 # BW rewrite match successes : 0
% 0.19/0.50 # Condensation attempts : 0
% 0.19/0.50 # Condensation successes : 0
% 0.19/0.50 # Termbank termtop insertions : 976
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.002 s
% 0.19/0.50 # System time : 0.003 s
% 0.19/0.50 # Total time : 0.005 s
% 0.19/0.50 # Maximum resident set size: 1872 pages
% 0.19/0.50
% 0.19/0.50 # -------------------------------------------------
% 0.19/0.50 # User time : 0.005 s
% 0.19/0.50 # System time : 0.005 s
% 0.19/0.50 # Total time : 0.010 s
% 0.19/0.50 # Maximum resident set size: 1756 pages
% 0.19/0.50 % E---3.1 exiting
% 0.19/0.50 % E---3.1 exiting
%------------------------------------------------------------------------------