TSTP Solution File: SET113-7 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SET113-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.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 : Sat May 4 09:22:16 EDT 2024
% Result : Unsatisfiable 0.20s 0.54s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 7 unt; 2 nHn; 7 RR)
% Number of literals : 11 ( 5 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_unique_1st_and_2nd_in_pair_of_non_sets1_1,negated_conjecture,
~ member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/tmp/tmp.HKrdCENSL7/E---3.1_6229.p',prove_unique_1st_and_2nd_in_pair_of_non_sets1_1) ).
cnf(prove_unique_1st_in_pair_of_non_sets,negated_conjecture,
first(x) != x,
file('/export/starexec/sandbox/tmp/tmp.HKrdCENSL7/E---3.1_6229.p',prove_unique_1st_in_pair_of_non_sets) ).
cnf(existence_of_1st_and_2nd_2,axiom,
( member(ordered_pair(first(X1),second(X1)),cross_product(universal_class,universal_class))
| first(X1) = X1 ),
file('/export/starexec/sandbox/tmp/tmp.HKrdCENSL7/E---3.1_6229.p',existence_of_1st_and_2nd_2) ).
cnf(c_0_3,negated_conjecture,
~ member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)),
inference(fof_simplification,[status(thm)],[prove_unique_1st_and_2nd_in_pair_of_non_sets1_1]) ).
cnf(c_0_4,negated_conjecture,
first(x) != x,
inference(fof_simplification,[status(thm)],[prove_unique_1st_in_pair_of_non_sets]) ).
cnf(c_0_5,negated_conjecture,
~ member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)),
c_0_3 ).
cnf(c_0_6,axiom,
( member(ordered_pair(first(X1),second(X1)),cross_product(universal_class,universal_class))
| first(X1) = X1 ),
existence_of_1st_and_2nd_2 ).
cnf(c_0_7,negated_conjecture,
first(x) != x,
c_0_4 ).
cnf(c_0_8,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET113-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n020.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 : Fri May 3 10:23:31 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.20/0.50 Running first-order model finding
% 0.20/0.50 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.HKrdCENSL7/E---3.1_6229.p
% 0.20/0.54 # Version: 3.1.0
% 0.20/0.54 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.54 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.54 # Starting sh5l with 300s (1) cores
% 0.20/0.54 # sh5l with pid 6337 completed with status 0
% 0.20/0.54 # Result found by sh5l
% 0.20/0.54 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.54 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.54 # Starting sh5l with 300s (1) cores
% 0.20/0.54 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.54 # Search class: FGHSM-FFLM31-MFFFFFNN
% 0.20/0.54 # Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.54 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 109s (1) cores
% 0.20/0.54 # 208_C09_12_F1_SE_CS_SP_PS_S070I with pid 6343 completed with status 0
% 0.20/0.54 # Result found by 208_C09_12_F1_SE_CS_SP_PS_S070I
% 0.20/0.54 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.54 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.54 # Starting sh5l with 300s (1) cores
% 0.20/0.54 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.54 # Search class: FGHSM-FFLM31-MFFFFFNN
% 0.20/0.54 # Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.54 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 109s (1) cores
% 0.20/0.54 # Preprocessing time : 0.003 s
% 0.20/0.54 # Presaturation interreduction done
% 0.20/0.54
% 0.20/0.54 # Proof found!
% 0.20/0.54 # SZS status Unsatisfiable
% 0.20/0.54 # SZS output start CNFRefutation
% See solution above
% 0.20/0.54 # Parsed axioms : 161
% 0.20/0.54 # Removed by relevancy pruning/SinE : 8
% 0.20/0.54 # Initial clauses : 153
% 0.20/0.54 # Removed in clause preprocessing : 0
% 0.20/0.54 # Initial clauses in saturation : 153
% 0.20/0.54 # Processed clauses : 258
% 0.20/0.54 # ...of these trivial : 3
% 0.20/0.54 # ...subsumed : 9
% 0.20/0.54 # ...remaining for further processing : 246
% 0.20/0.54 # Other redundant clauses eliminated : 9
% 0.20/0.54 # Clauses deleted for lack of memory : 0
% 0.20/0.54 # Backward-subsumed : 0
% 0.20/0.54 # Backward-rewritten : 2
% 0.20/0.54 # Generated clauses : 139
% 0.20/0.54 # ...of the previous two non-redundant : 96
% 0.20/0.54 # ...aggressively subsumed : 0
% 0.20/0.54 # Contextual simplify-reflections : 1
% 0.20/0.54 # Paramodulations : 130
% 0.20/0.54 # Factorizations : 0
% 0.20/0.54 # NegExts : 0
% 0.20/0.54 # Equation resolutions : 9
% 0.20/0.54 # Disequality decompositions : 0
% 0.20/0.54 # Total rewrite steps : 67
% 0.20/0.54 # ...of those cached : 37
% 0.20/0.54 # Propositional unsat checks : 0
% 0.20/0.54 # Propositional check models : 0
% 0.20/0.54 # Propositional check unsatisfiable : 0
% 0.20/0.54 # Propositional clauses : 0
% 0.20/0.54 # Propositional clauses after purity: 0
% 0.20/0.54 # Propositional unsat core size : 0
% 0.20/0.54 # Propositional preprocessing time : 0.000
% 0.20/0.54 # Propositional encoding time : 0.000
% 0.20/0.54 # Propositional solver time : 0.000
% 0.20/0.54 # Success case prop preproc time : 0.000
% 0.20/0.54 # Success case prop encoding time : 0.000
% 0.20/0.54 # Success case prop solver time : 0.000
% 0.20/0.54 # Current number of processed clauses : 92
% 0.20/0.54 # Positive orientable unit clauses : 25
% 0.20/0.54 # Positive unorientable unit clauses: 1
% 0.20/0.54 # Negative unit clauses : 6
% 0.20/0.54 # Non-unit-clauses : 60
% 0.20/0.54 # Current number of unprocessed clauses: 135
% 0.20/0.54 # ...number of literals in the above : 304
% 0.20/0.54 # Current number of archived formulas : 0
% 0.20/0.54 # Current number of archived clauses : 151
% 0.20/0.54 # Clause-clause subsumption calls (NU) : 2338
% 0.20/0.54 # Rec. Clause-clause subsumption calls : 1886
% 0.20/0.54 # Non-unit clause-clause subsumptions : 10
% 0.20/0.54 # Unit Clause-clause subsumption calls : 368
% 0.20/0.54 # Rewrite failures with RHS unbound : 0
% 0.20/0.54 # BW rewrite match attempts : 21
% 0.20/0.54 # BW rewrite match successes : 15
% 0.20/0.54 # Condensation attempts : 0
% 0.20/0.54 # Condensation successes : 0
% 0.20/0.54 # Termbank termtop insertions : 6180
% 0.20/0.54 # Search garbage collected termcells : 274
% 0.20/0.54
% 0.20/0.54 # -------------------------------------------------
% 0.20/0.54 # User time : 0.022 s
% 0.20/0.54 # System time : 0.002 s
% 0.20/0.54 # Total time : 0.025 s
% 0.20/0.54 # Maximum resident set size: 2060 pages
% 0.20/0.54
% 0.20/0.54 # -------------------------------------------------
% 0.20/0.54 # User time : 0.027 s
% 0.20/0.54 # System time : 0.004 s
% 0.20/0.54 # Total time : 0.031 s
% 0.20/0.54 # Maximum resident set size: 1816 pages
% 0.20/0.54 % E---3.1 exiting
%------------------------------------------------------------------------------