TSTP Solution File: SET108-7 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET108-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 19:18:32 EDT 2023
% Result : Unsatisfiable 0.17s 0.47s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 8 RR)
% Number of literals : 10 ( 3 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cartesian_product4,axiom,
( ordered_pair(first(X1),second(X1)) = X1
| ~ member(X1,cross_product(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.r7VHVPCkdh/E---3.1_12323.p',cartesian_product4) ).
cnf(prove_existence_of_1st_and_2nd_1_1,negated_conjecture,
member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/tmp/tmp.r7VHVPCkdh/E---3.1_12323.p',prove_existence_of_1st_and_2nd_1_1) ).
cnf(prove_existence_of_1st_and_2nd_1_2,negated_conjecture,
~ member(ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/tmp/tmp.r7VHVPCkdh/E---3.1_12323.p',prove_existence_of_1st_and_2nd_1_2) ).
cnf(c_0_3,axiom,
( ordered_pair(first(X1),second(X1)) = X1
| ~ member(X1,cross_product(X2,X3)) ),
cartesian_product4 ).
cnf(c_0_4,negated_conjecture,
member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
prove_existence_of_1st_and_2nd_1_1 ).
cnf(c_0_5,negated_conjecture,
~ member(ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))),cross_product(universal_class,universal_class)),
prove_existence_of_1st_and_2nd_1_2 ).
cnf(c_0_6,negated_conjecture,
ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))) = ordered_pair(y,z),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_7,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_4])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SET108-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 2400
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Oct 2 17:04:44 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.r7VHVPCkdh/E---3.1_12323.p
% 0.17/0.47 # Version: 3.1pre001
% 0.17/0.47 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.47 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.47 # Starting sh5l with 300s (1) cores
% 0.17/0.47 # new_bool_3 with pid 12407 completed with status 0
% 0.17/0.47 # Result found by new_bool_3
% 0.17/0.47 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.47 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.47 # Search class: FGHSM-FFMS21-MFFFFFNN
% 0.17/0.47 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.47 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.47 # SAT001_MinMin_p005000_rr_RG with pid 12410 completed with status 0
% 0.17/0.47 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.47 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.47 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.47 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.47 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.47 # Search class: FGHSM-FFMS21-MFFFFFNN
% 0.17/0.47 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.47 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.47 # Preprocessing time : 0.003 s
% 0.17/0.47 # Presaturation interreduction done
% 0.17/0.47
% 0.17/0.47 # Proof found!
% 0.17/0.47 # SZS status Unsatisfiable
% 0.17/0.47 # SZS output start CNFRefutation
% See solution above
% 0.17/0.47 # Parsed axioms : 154
% 0.17/0.47 # Removed by relevancy pruning/SinE : 95
% 0.17/0.47 # Initial clauses : 59
% 0.17/0.47 # Removed in clause preprocessing : 0
% 0.17/0.47 # Initial clauses in saturation : 59
% 0.17/0.47 # Processed clauses : 145
% 0.17/0.47 # ...of these trivial : 1
% 0.17/0.47 # ...subsumed : 28
% 0.17/0.47 # ...remaining for further processing : 116
% 0.17/0.47 # Other redundant clauses eliminated : 2
% 0.17/0.47 # Clauses deleted for lack of memory : 0
% 0.17/0.47 # Backward-subsumed : 0
% 0.17/0.47 # Backward-rewritten : 2
% 0.17/0.47 # Generated clauses : 264
% 0.17/0.47 # ...of the previous two non-redundant : 169
% 0.17/0.47 # ...aggressively subsumed : 0
% 0.17/0.47 # Contextual simplify-reflections : 0
% 0.17/0.47 # Paramodulations : 259
% 0.17/0.47 # Factorizations : 0
% 0.17/0.47 # NegExts : 0
% 0.17/0.47 # Equation resolutions : 5
% 0.17/0.47 # Total rewrite steps : 72
% 0.17/0.47 # Propositional unsat checks : 0
% 0.17/0.47 # Propositional check models : 0
% 0.17/0.47 # Propositional check unsatisfiable : 0
% 0.17/0.47 # Propositional clauses : 0
% 0.17/0.47 # Propositional clauses after purity: 0
% 0.17/0.47 # Propositional unsat core size : 0
% 0.17/0.47 # Propositional preprocessing time : 0.000
% 0.17/0.47 # Propositional encoding time : 0.000
% 0.17/0.47 # Propositional solver time : 0.000
% 0.17/0.47 # Success case prop preproc time : 0.000
% 0.17/0.47 # Success case prop encoding time : 0.000
% 0.17/0.47 # Success case prop solver time : 0.000
% 0.17/0.47 # Current number of processed clauses : 56
% 0.17/0.47 # Positive orientable unit clauses : 18
% 0.17/0.47 # Positive unorientable unit clauses: 2
% 0.17/0.47 # Negative unit clauses : 3
% 0.17/0.47 # Non-unit-clauses : 33
% 0.17/0.47 # Current number of unprocessed clauses: 139
% 0.17/0.47 # ...number of literals in the above : 357
% 0.17/0.47 # Current number of archived formulas : 0
% 0.17/0.47 # Current number of archived clauses : 58
% 0.17/0.47 # Clause-clause subsumption calls (NU) : 192
% 0.17/0.47 # Rec. Clause-clause subsumption calls : 160
% 0.17/0.47 # Non-unit clause-clause subsumptions : 22
% 0.17/0.47 # Unit Clause-clause subsumption calls : 14
% 0.17/0.47 # Rewrite failures with RHS unbound : 0
% 0.17/0.47 # BW rewrite match attempts : 31
% 0.17/0.47 # BW rewrite match successes : 24
% 0.17/0.47 # Condensation attempts : 0
% 0.17/0.47 # Condensation successes : 0
% 0.17/0.47 # Termbank termtop insertions : 4137
% 0.17/0.47
% 0.17/0.47 # -------------------------------------------------
% 0.17/0.47 # User time : 0.008 s
% 0.17/0.47 # System time : 0.004 s
% 0.17/0.47 # Total time : 0.012 s
% 0.17/0.47 # Maximum resident set size: 1820 pages
% 0.17/0.47
% 0.17/0.47 # -------------------------------------------------
% 0.17/0.47 # User time : 0.010 s
% 0.17/0.47 # System time : 0.007 s
% 0.17/0.47 # Total time : 0.017 s
% 0.17/0.47 # Maximum resident set size: 1796 pages
% 0.17/0.47 % E---3.1 exiting
% 0.17/0.47 % E---3.1 exiting
%------------------------------------------------------------------------------