TSTP Solution File: SET386-6 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SET386-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 : 300s
% WCLimit : 300s
% DateTime : Tue May 21 02:58:22 EDT 2024
% Result : Unsatisfiable 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 9 unt; 2 nHn; 15 RR)
% Number of literals : 29 ( 5 equ; 11 neg)
% Maximal clause size : 2 ( 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; 2 con; 0-3 aty)
% Number of variables : 27 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(intersection2,axiom,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).
cnf(prove_relation_property4_1,negated_conjecture,
restrict(x,universal_class,universal_class) = x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relation_property4_1) ).
cnf(restriction1,axiom,
intersection(X1,cross_product(X2,X3)) = restrict(X1,X2,X3),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',restriction1) ).
cnf(not_subclass_members2,axiom,
( subclass(X1,X2)
| ~ member(not_subclass_element(X1,X2),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(prove_relation_property4_2,negated_conjecture,
~ subclass(x,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relation_property4_2) ).
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X1,X2),X1)
| subclass(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(c_0_6,plain,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
inference(fof_simplification,[status(thm)],[intersection2]) ).
cnf(c_0_7,negated_conjecture,
restrict(x,universal_class,universal_class) = x,
prove_relation_property4_1 ).
cnf(c_0_8,axiom,
intersection(X1,cross_product(X2,X3)) = restrict(X1,X2,X3),
restriction1 ).
cnf(c_0_9,plain,
( subclass(X1,X2)
| ~ member(not_subclass_element(X1,X2),X2) ),
inference(fof_simplification,[status(thm)],[not_subclass_members2]) ).
cnf(c_0_10,plain,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
c_0_6 ).
cnf(c_0_11,negated_conjecture,
intersection(x,cross_product(universal_class,universal_class)) = x,
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
( subclass(X1,X2)
| ~ member(not_subclass_element(X1,X2),X2) ),
c_0_9 ).
cnf(c_0_13,negated_conjecture,
( member(X1,cross_product(universal_class,universal_class))
| ~ member(X1,x) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
~ subclass(x,cross_product(universal_class,universal_class)),
inference(fof_simplification,[status(thm)],[prove_relation_property4_2]) ).
cnf(c_0_15,negated_conjecture,
( subclass(X1,cross_product(universal_class,universal_class))
| ~ member(not_subclass_element(X1,cross_product(universal_class,universal_class)),x) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,axiom,
( member(not_subclass_element(X1,X2),X1)
| subclass(X1,X2) ),
not_subclass_members1 ).
cnf(c_0_17,negated_conjecture,
~ subclass(x,cross_product(universal_class,universal_class)),
c_0_14 ).
cnf(c_0_18,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET386-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 13:35:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order model finding
% 0.20/0.48 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/benchmark/theBenchmark.p
% 0.20/0.52 # Version: 3.1.0
% 0.20/0.52 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.52 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.52 # Starting sh5l with 300s (1) cores
% 0.20/0.52 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 22301 completed with status 0
% 0.20/0.52 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.20/0.52 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.52 # No SInE strategy applied
% 0.20/0.52 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.20/0.52 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.52 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.20/0.52 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.20/0.52 # Starting new_bool_1 with 308s (1) cores
% 0.20/0.52 # Starting sh5l with 304s (1) cores
% 0.20/0.52 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.52 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 22314 completed with status 0
% 0.20/0.52 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.52 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.52 # No SInE strategy applied
% 0.20/0.52 # Search class: FGHSM-FFLM31-DFFFFFNN
% 0.20/0.52 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.52 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 313s (1) cores
% 0.20/0.52 # Preprocessing time : 0.003 s
% 0.20/0.52 # Presaturation interreduction done
% 0.20/0.52
% 0.20/0.52 # Proof found!
% 0.20/0.52 # SZS status Unsatisfiable
% 0.20/0.52 # SZS output start CNFRefutation
% See solution above
% 0.20/0.52 # Parsed axioms : 114
% 0.20/0.52 # Removed by relevancy pruning/SinE : 0
% 0.20/0.52 # Initial clauses : 114
% 0.20/0.52 # Removed in clause preprocessing : 17
% 0.20/0.52 # Initial clauses in saturation : 97
% 0.20/0.52 # Processed clauses : 166
% 0.20/0.52 # ...of these trivial : 0
% 0.20/0.52 # ...subsumed : 1
% 0.20/0.52 # ...remaining for further processing : 165
% 0.20/0.52 # Other redundant clauses eliminated : 4
% 0.20/0.52 # Clauses deleted for lack of memory : 0
% 0.20/0.52 # Backward-subsumed : 0
% 0.20/0.52 # Backward-rewritten : 0
% 0.20/0.52 # Generated clauses : 56
% 0.20/0.52 # ...of the previous two non-redundant : 50
% 0.20/0.52 # ...aggressively subsumed : 0
% 0.20/0.52 # Contextual simplify-reflections : 0
% 0.20/0.52 # Paramodulations : 52
% 0.20/0.52 # Factorizations : 0
% 0.20/0.52 # NegExts : 0
% 0.20/0.52 # Equation resolutions : 4
% 0.20/0.52 # Disequality decompositions : 0
% 0.20/0.52 # Total rewrite steps : 2
% 0.20/0.52 # ...of those cached : 0
% 0.20/0.52 # Propositional unsat checks : 0
% 0.20/0.52 # Propositional check models : 0
% 0.20/0.52 # Propositional check unsatisfiable : 0
% 0.20/0.52 # Propositional clauses : 0
% 0.20/0.52 # Propositional clauses after purity: 0
% 0.20/0.52 # Propositional unsat core size : 0
% 0.20/0.52 # Propositional preprocessing time : 0.000
% 0.20/0.52 # Propositional encoding time : 0.000
% 0.20/0.52 # Propositional solver time : 0.000
% 0.20/0.52 # Success case prop preproc time : 0.000
% 0.20/0.52 # Success case prop encoding time : 0.000
% 0.20/0.52 # Success case prop solver time : 0.000
% 0.20/0.52 # Current number of processed clauses : 65
% 0.20/0.52 # Positive orientable unit clauses : 20
% 0.20/0.52 # Positive unorientable unit clauses: 0
% 0.20/0.52 # Negative unit clauses : 2
% 0.20/0.52 # Non-unit-clauses : 43
% 0.20/0.52 # Current number of unprocessed clauses: 71
% 0.20/0.52 # ...number of literals in the above : 172
% 0.20/0.52 # Current number of archived formulas : 0
% 0.20/0.52 # Current number of archived clauses : 113
% 0.20/0.52 # Clause-clause subsumption calls (NU) : 1483
% 0.20/0.52 # Rec. Clause-clause subsumption calls : 739
% 0.20/0.52 # Non-unit clause-clause subsumptions : 1
% 0.20/0.52 # Unit Clause-clause subsumption calls : 9
% 0.20/0.52 # Rewrite failures with RHS unbound : 0
% 0.20/0.52 # BW rewrite match attempts : 14
% 0.20/0.52 # BW rewrite match successes : 2
% 0.20/0.52 # Condensation attempts : 0
% 0.20/0.52 # Condensation successes : 0
% 0.20/0.52 # Termbank termtop insertions : 8026
% 0.20/0.52 # Search garbage collected termcells : 185
% 0.20/0.52
% 0.20/0.52 # -------------------------------------------------
% 0.20/0.52 # User time : 0.018 s
% 0.20/0.52 # System time : 0.005 s
% 0.20/0.52 # Total time : 0.023 s
% 0.20/0.52 # Maximum resident set size: 1976 pages
% 0.20/0.52
% 0.20/0.52 # -------------------------------------------------
% 0.20/0.52 # User time : 0.078 s
% 0.20/0.52 # System time : 0.016 s
% 0.20/0.52 # Total time : 0.094 s
% 0.20/0.52 # Maximum resident set size: 1792 pages
% 0.20/0.52 % E---3.1 exiting
%------------------------------------------------------------------------------