TSTP Solution File: SET050-6 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET050-6 : TPTP v8.1.2. 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:21:48 EDT 2023
% Result : Unsatisfiable 0.15s 0.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 16 ( 9 unt; 0 nHn; 12 RR)
% Number of literals : 25 ( 0 equ; 12 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cartesian_product1,axiom,
( member(X1,X3)
| ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
file('/export/starexec/sandbox/tmp/tmp.s9CQYcu7pR/E---3.1_22656.p',cartesian_product1) ).
cnf(prove_corollary_1_to_unordered_pair_1,negated_conjecture,
member(ordered_pair(x,y),cross_product(u,v)),
file('/export/starexec/sandbox/tmp/tmp.s9CQYcu7pR/E---3.1_22656.p',prove_corollary_1_to_unordered_pair_1) ).
cnf(subclass_members,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.s9CQYcu7pR/E---3.1_22656.p',subclass_members) ).
cnf(prove_corollary_1_to_unordered_pair_2,negated_conjecture,
~ member(x,unordered_pair(x,y)),
file('/export/starexec/sandbox/tmp/tmp.s9CQYcu7pR/E---3.1_22656.p',prove_corollary_1_to_unordered_pair_2) ).
cnf(unordered_pair2,axiom,
( member(X1,unordered_pair(X1,X2))
| ~ member(X1,universal_class) ),
file('/export/starexec/sandbox/tmp/tmp.s9CQYcu7pR/E---3.1_22656.p',unordered_pair2) ).
cnf(class_elements_are_sets,axiom,
subclass(X1,universal_class),
file('/export/starexec/sandbox/tmp/tmp.s9CQYcu7pR/E---3.1_22656.p',class_elements_are_sets) ).
cnf(c_0_6,axiom,
( member(X1,X3)
| ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
cartesian_product1 ).
cnf(c_0_7,negated_conjecture,
member(ordered_pair(x,y),cross_product(u,v)),
prove_corollary_1_to_unordered_pair_1 ).
cnf(c_0_8,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
subclass_members ).
cnf(c_0_9,negated_conjecture,
member(x,u),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
~ member(x,unordered_pair(x,y)),
prove_corollary_1_to_unordered_pair_2 ).
cnf(c_0_11,axiom,
( member(X1,unordered_pair(X1,X2))
| ~ member(X1,universal_class) ),
unordered_pair2 ).
cnf(c_0_12,negated_conjecture,
( member(x,X1)
| ~ subclass(u,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,axiom,
subclass(X1,universal_class),
class_elements_are_sets ).
cnf(c_0_14,negated_conjecture,
~ member(x,universal_class),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : SET050-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n026.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 2400
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon Oct 2 17:03:14 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 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.s9CQYcu7pR/E---3.1_22656.p
% 0.15/0.42 # Version: 3.1pre001
% 0.15/0.42 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42 # Starting sh5l with 300s (1) cores
% 0.15/0.42 # new_bool_3 with pid 22734 completed with status 0
% 0.15/0.42 # Result found by new_bool_3
% 0.15/0.42 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42 # Search class: FGHSM-FFMF31-MFFFFFNN
% 0.15/0.42 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 0.15/0.42 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with pid 22737 completed with status 0
% 0.15/0.42 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 0.15/0.42 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42 # Search class: FGHSM-FFMF31-MFFFFFNN
% 0.15/0.42 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 0.15/0.42 # Preprocessing time : 0.001 s
% 0.15/0.42 # Presaturation interreduction done
% 0.15/0.42
% 0.15/0.42 # Proof found!
% 0.15/0.42 # SZS status Unsatisfiable
% 0.15/0.42 # SZS output start CNFRefutation
% See solution above
% 0.15/0.42 # Parsed axioms : 93
% 0.15/0.42 # Removed by relevancy pruning/SinE : 66
% 0.15/0.42 # Initial clauses : 27
% 0.15/0.42 # Removed in clause preprocessing : 0
% 0.15/0.42 # Initial clauses in saturation : 27
% 0.15/0.42 # Processed clauses : 59
% 0.15/0.42 # ...of these trivial : 0
% 0.15/0.42 # ...subsumed : 2
% 0.15/0.42 # ...remaining for further processing : 57
% 0.15/0.42 # Other redundant clauses eliminated : 4
% 0.15/0.42 # Clauses deleted for lack of memory : 0
% 0.15/0.42 # Backward-subsumed : 0
% 0.15/0.42 # Backward-rewritten : 0
% 0.15/0.42 # Generated clauses : 39
% 0.15/0.42 # ...of the previous two non-redundant : 28
% 0.15/0.42 # ...aggressively subsumed : 0
% 0.15/0.42 # Contextual simplify-reflections : 0
% 0.15/0.42 # Paramodulations : 27
% 0.15/0.42 # Factorizations : 8
% 0.15/0.42 # NegExts : 0
% 0.15/0.42 # Equation resolutions : 4
% 0.15/0.42 # Total rewrite steps : 3
% 0.15/0.42 # Propositional unsat checks : 0
% 0.15/0.42 # Propositional check models : 0
% 0.15/0.42 # Propositional check unsatisfiable : 0
% 0.15/0.42 # Propositional clauses : 0
% 0.15/0.42 # Propositional clauses after purity: 0
% 0.15/0.42 # Propositional unsat core size : 0
% 0.15/0.42 # Propositional preprocessing time : 0.000
% 0.15/0.42 # Propositional encoding time : 0.000
% 0.15/0.42 # Propositional solver time : 0.000
% 0.15/0.42 # Success case prop preproc time : 0.000
% 0.15/0.42 # Success case prop encoding time : 0.000
% 0.15/0.42 # Success case prop solver time : 0.000
% 0.15/0.42 # Current number of processed clauses : 29
% 0.15/0.42 # Positive orientable unit clauses : 11
% 0.15/0.42 # Positive unorientable unit clauses: 1
% 0.15/0.42 # Negative unit clauses : 2
% 0.15/0.42 # Non-unit-clauses : 15
% 0.15/0.42 # Current number of unprocessed clauses: 22
% 0.15/0.42 # ...number of literals in the above : 50
% 0.15/0.42 # Current number of archived formulas : 0
% 0.15/0.42 # Current number of archived clauses : 26
% 0.15/0.42 # Clause-clause subsumption calls (NU) : 44
% 0.15/0.42 # Rec. Clause-clause subsumption calls : 39
% 0.15/0.42 # Non-unit clause-clause subsumptions : 2
% 0.15/0.42 # Unit Clause-clause subsumption calls : 0
% 0.15/0.42 # Rewrite failures with RHS unbound : 0
% 0.15/0.42 # BW rewrite match attempts : 7
% 0.15/0.42 # BW rewrite match successes : 1
% 0.15/0.42 # Condensation attempts : 0
% 0.15/0.42 # Condensation successes : 0
% 0.15/0.42 # Termbank termtop insertions : 1594
% 0.15/0.42
% 0.15/0.42 # -------------------------------------------------
% 0.15/0.42 # User time : 0.004 s
% 0.15/0.42 # System time : 0.002 s
% 0.15/0.42 # Total time : 0.006 s
% 0.15/0.42 # Maximum resident set size: 1836 pages
% 0.15/0.42
% 0.15/0.42 # -------------------------------------------------
% 0.15/0.42 # User time : 0.007 s
% 0.15/0.42 # System time : 0.003 s
% 0.15/0.42 # Total time : 0.010 s
% 0.15/0.42 # Maximum resident set size: 1756 pages
% 0.15/0.42 % E---3.1 exiting
%------------------------------------------------------------------------------