TSTP Solution File: SET114-7 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET114-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:18:33 EDT 2023
% Result : Unsatisfiable 0.16s 0.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 7 ( 5 unt; 2 nHn; 5 RR)
% Number of literals : 9 ( 4 equ; 4 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_sets2_1,negated_conjecture,
~ member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/tmp/tmp.DBprlg4Or9/E---3.1_23490.p',prove_unique_1st_and_2nd_in_pair_of_non_sets2_1) ).
cnf(existence_of_1st_and_2nd_3,axiom,
( member(ordered_pair(first(X1),second(X1)),cross_product(universal_class,universal_class))
| second(X1) = X1 ),
file('/export/starexec/sandbox/tmp/tmp.DBprlg4Or9/E---3.1_23490.p',existence_of_1st_and_2nd_3) ).
cnf(prove_unique_2nd_in_pair_of_non_sets,negated_conjecture,
second(x) != x,
file('/export/starexec/sandbox/tmp/tmp.DBprlg4Or9/E---3.1_23490.p',prove_unique_2nd_in_pair_of_non_sets) ).
cnf(c_0_3,negated_conjecture,
~ member(ordered_pair(first(x),second(x)),cross_product(universal_class,universal_class)),
prove_unique_1st_and_2nd_in_pair_of_non_sets2_1 ).
cnf(c_0_4,axiom,
( member(ordered_pair(first(X1),second(X1)),cross_product(universal_class,universal_class))
| second(X1) = X1 ),
existence_of_1st_and_2nd_3 ).
cnf(c_0_5,negated_conjecture,
second(x) != x,
prove_unique_2nd_in_pair_of_non_sets ).
cnf(c_0_6,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SET114-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n026.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 17:03:29 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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.DBprlg4Or9/E---3.1_23490.p
% 0.16/0.45 # Version: 3.1pre001
% 0.16/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # Starting sh5l with 300s (1) cores
% 0.16/0.45 # sh5l with pid 23579 completed with status 0
% 0.16/0.45 # Result found by sh5l
% 0.16/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # Starting sh5l with 300s (1) cores
% 0.16/0.45 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.45 # Search class: FGHSM-FFLM31-MFFFFFNN
% 0.16/0.45 # Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 109s (1) cores
% 0.16/0.45 # 208_C09_12_F1_SE_CS_SP_PS_S070I with pid 23582 completed with status 0
% 0.16/0.45 # Result found by 208_C09_12_F1_SE_CS_SP_PS_S070I
% 0.16/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # Starting sh5l with 300s (1) cores
% 0.16/0.45 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.45 # Search class: FGHSM-FFLM31-MFFFFFNN
% 0.16/0.45 # Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 109s (1) cores
% 0.16/0.45 # Preprocessing time : 0.002 s
% 0.16/0.45 # Presaturation interreduction done
% 0.16/0.45
% 0.16/0.45 # Proof found!
% 0.16/0.45 # SZS status Unsatisfiable
% 0.16/0.45 # SZS output start CNFRefutation
% See solution above
% 0.16/0.45 # Parsed axioms : 161
% 0.16/0.45 # Removed by relevancy pruning/SinE : 8
% 0.16/0.45 # Initial clauses : 153
% 0.16/0.45 # Removed in clause preprocessing : 0
% 0.16/0.45 # Initial clauses in saturation : 153
% 0.16/0.45 # Processed clauses : 279
% 0.16/0.45 # ...of these trivial : 4
% 0.16/0.45 # ...subsumed : 11
% 0.16/0.45 # ...remaining for further processing : 264
% 0.16/0.45 # Other redundant clauses eliminated : 9
% 0.16/0.45 # Clauses deleted for lack of memory : 0
% 0.16/0.45 # Backward-subsumed : 0
% 0.16/0.45 # Backward-rewritten : 2
% 0.16/0.45 # Generated clauses : 219
% 0.16/0.45 # ...of the previous two non-redundant : 161
% 0.16/0.45 # ...aggressively subsumed : 0
% 0.16/0.45 # Contextual simplify-reflections : 1
% 0.16/0.45 # Paramodulations : 210
% 0.16/0.45 # Factorizations : 0
% 0.16/0.45 # NegExts : 0
% 0.16/0.45 # Equation resolutions : 9
% 0.16/0.45 # Total rewrite steps : 89
% 0.16/0.45 # Propositional unsat checks : 0
% 0.16/0.45 # Propositional check models : 0
% 0.16/0.45 # Propositional check unsatisfiable : 0
% 0.16/0.45 # Propositional clauses : 0
% 0.16/0.45 # Propositional clauses after purity: 0
% 0.16/0.45 # Propositional unsat core size : 0
% 0.16/0.45 # Propositional preprocessing time : 0.000
% 0.16/0.45 # Propositional encoding time : 0.000
% 0.16/0.45 # Propositional solver time : 0.000
% 0.16/0.45 # Success case prop preproc time : 0.000
% 0.16/0.45 # Success case prop encoding time : 0.000
% 0.16/0.45 # Success case prop solver time : 0.000
% 0.16/0.45 # Current number of processed clauses : 110
% 0.16/0.45 # Positive orientable unit clauses : 29
% 0.16/0.45 # Positive unorientable unit clauses: 1
% 0.16/0.45 # Negative unit clauses : 8
% 0.16/0.45 # Non-unit-clauses : 72
% 0.16/0.45 # Current number of unprocessed clauses: 179
% 0.16/0.45 # ...number of literals in the above : 413
% 0.16/0.45 # Current number of archived formulas : 0
% 0.16/0.45 # Current number of archived clauses : 151
% 0.16/0.45 # Clause-clause subsumption calls (NU) : 2451
% 0.16/0.45 # Rec. Clause-clause subsumption calls : 1992
% 0.16/0.45 # Non-unit clause-clause subsumptions : 11
% 0.16/0.45 # Unit Clause-clause subsumption calls : 423
% 0.16/0.45 # Rewrite failures with RHS unbound : 0
% 0.16/0.45 # BW rewrite match attempts : 21
% 0.16/0.45 # BW rewrite match successes : 15
% 0.16/0.45 # Condensation attempts : 0
% 0.16/0.45 # Condensation successes : 0
% 0.16/0.45 # Termbank termtop insertions : 6404
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.016 s
% 0.16/0.45 # System time : 0.002 s
% 0.16/0.45 # Total time : 0.018 s
% 0.16/0.45 # Maximum resident set size: 2044 pages
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.020 s
% 0.16/0.45 # System time : 0.003 s
% 0.16/0.45 # Total time : 0.023 s
% 0.16/0.45 # Maximum resident set size: 1800 pages
% 0.16/0.45 % E---3.1 exiting
% 0.16/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------