TSTP Solution File: SEU920^5 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU920^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 03:30:51 EDT 2024
% Result : Theorem 0.20s 0.48s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 13 ( 3 unt; 7 typ; 0 def)
% Number of atoms : 9 ( 8 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 3 ~; 0 |; 1 &; 14 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 0 ^ 12 !; 4 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_sort2,type,
b: $tType ).
thf(decl_sort3,type,
c: $tType ).
thf(decl_22,type,
esk1_0: a > b ).
thf(decl_23,type,
esk2_0: b > c ).
thf(decl_24,type,
esk3_1: c > a ).
thf(decl_25,type,
esk4_0: c ).
thf(cFN_THM_4_pme,conjecture,
! [X1: a > b,X2: b > c] :
( ! [X3: c] :
? [X4: a] :
( ( X2 @ ( X1 @ X4 ) )
= X3 )
=> ! [X3: c] :
? [X5: b] :
( ( X2 @ X5 )
= X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cFN_THM_4_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > b,X2: b > c] :
( ! [X3: c] :
? [X4: a] :
( ( X2 @ ( X1 @ X4 ) )
= X3 )
=> ! [X3: c] :
? [X5: b] :
( ( X2 @ X5 )
= X3 ) ),
inference(assume_negation,[status(cth)],[cFN_THM_4_pme]) ).
thf(c_0_2,negated_conjecture,
! [X14: c,X17: b] :
( ( ( esk2_0 @ ( esk1_0 @ ( esk3_1 @ X14 ) ) )
= X14 )
& ( ( esk2_0 @ X17 )
!= esk4_0 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X5: b] :
( ( esk2_0 @ X5 )
!= esk4_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X3: c] :
( ( esk2_0 @ ( esk1_0 @ ( esk3_1 @ X3 ) ) )
= X3 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
$false,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : SEU920^5 : TPTP v8.2.0. Released v4.0.0.
% 0.05/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n015.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 : Sun May 19 17:09:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running higher-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 # Version: 3.1.0-ho
% 0.20/0.48 # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.20/0.48 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48 # Starting post_as_ho12 with 300s (1) cores
% 0.20/0.48 # Starting new_bool_9 with 300s (1) cores
% 0.20/0.48 # Starting post_as_ho1 with 300s (1) cores
% 0.20/0.48 # Starting post_as_ho4 with 300s (1) cores
% 0.20/0.48 # Starting post_as_ho2 with 300s (1) cores
% 0.20/0.48 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.20/0.48 # Starting full_lambda_10 with 300s (1) cores
% 0.20/0.48 # Starting new_ho_8 with 300s (1) cores
% 0.20/0.48 # new_bool_9 with pid 26953 completed with status 0
% 0.20/0.48 # Result found by new_bool_9
% 0.20/0.48 # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.20/0.48 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48 # Starting post_as_ho12 with 300s (1) cores
% 0.20/0.48 # Starting new_bool_9 with 300s (1) cores
% 0.20/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.20/0.48 # Search class: HUUPF-FFSF11-MSSFFFNN
% 0.20/0.48 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48 # Starting new_ho_10 with 181s (1) cores
% 0.20/0.48 # new_ho_10 with pid 26960 completed with status 0
% 0.20/0.48 # Result found by new_ho_10
% 0.20/0.48 # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.20/0.48 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48 # Starting post_as_ho12 with 300s (1) cores
% 0.20/0.48 # Starting new_bool_9 with 300s (1) cores
% 0.20/0.48 # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.20/0.48 # Search class: HUUPF-FFSF11-MSSFFFNN
% 0.20/0.48 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48 # Starting new_ho_10 with 181s (1) cores
% 0.20/0.48 # Preprocessing time : 0.001 s
% 0.20/0.48 # Presaturation interreduction done
% 0.20/0.48
% 0.20/0.48 # Proof found!
% 0.20/0.48 # SZS status Theorem
% 0.20/0.48 # SZS output start CNFRefutation
% See solution above
% 0.20/0.48 # Parsed axioms : 4
% 0.20/0.48 # Removed by relevancy pruning/SinE : 3
% 0.20/0.48 # Initial clauses : 2
% 0.20/0.49 # Removed in clause preprocessing : 0
% 0.20/0.49 # Initial clauses in saturation : 2
% 0.20/0.49 # Processed clauses : 4
% 0.20/0.49 # ...of these trivial : 0
% 0.20/0.49 # ...subsumed : 0
% 0.20/0.49 # ...remaining for further processing : 4
% 0.20/0.49 # Other redundant clauses eliminated : 1
% 0.20/0.49 # Clauses deleted for lack of memory : 0
% 0.20/0.49 # Backward-subsumed : 0
% 0.20/0.49 # Backward-rewritten : 0
% 0.20/0.49 # Generated clauses : 2
% 0.20/0.49 # ...of the previous two non-redundant : 0
% 0.20/0.49 # ...aggressively subsumed : 0
% 0.20/0.49 # Contextual simplify-reflections : 0
% 0.20/0.49 # Paramodulations : 1
% 0.20/0.49 # Factorizations : 0
% 0.20/0.49 # NegExts : 0
% 0.20/0.49 # Equation resolutions : 1
% 0.20/0.49 # Disequality decompositions : 0
% 0.20/0.49 # Total rewrite steps : 0
% 0.20/0.49 # ...of those cached : 0
% 0.20/0.49 # Propositional unsat checks : 0
% 0.20/0.49 # Propositional check models : 0
% 0.20/0.49 # Propositional check unsatisfiable : 0
% 0.20/0.49 # Propositional clauses : 0
% 0.20/0.49 # Propositional clauses after purity: 0
% 0.20/0.49 # Propositional unsat core size : 0
% 0.20/0.49 # Propositional preprocessing time : 0.000
% 0.20/0.49 # Propositional encoding time : 0.000
% 0.20/0.49 # Propositional solver time : 0.000
% 0.20/0.49 # Success case prop preproc time : 0.000
% 0.20/0.49 # Success case prop encoding time : 0.000
% 0.20/0.49 # Success case prop solver time : 0.000
% 0.20/0.49 # Current number of processed clauses : 2
% 0.20/0.49 # Positive orientable unit clauses : 1
% 0.20/0.49 # Positive unorientable unit clauses: 0
% 0.20/0.49 # Negative unit clauses : 1
% 0.20/0.49 # Non-unit-clauses : 0
% 0.20/0.49 # Current number of unprocessed clauses: 0
% 0.20/0.49 # ...number of literals in the above : 0
% 0.20/0.49 # Current number of archived formulas : 0
% 0.20/0.49 # Current number of archived clauses : 2
% 0.20/0.49 # Clause-clause subsumption calls (NU) : 0
% 0.20/0.49 # Rec. Clause-clause subsumption calls : 0
% 0.20/0.49 # Non-unit clause-clause subsumptions : 0
% 0.20/0.49 # Unit Clause-clause subsumption calls : 0
% 0.20/0.49 # Rewrite failures with RHS unbound : 0
% 0.20/0.49 # BW rewrite match attempts : 0
% 0.20/0.49 # BW rewrite match successes : 0
% 0.20/0.49 # Condensation attempts : 4
% 0.20/0.49 # Condensation successes : 0
% 0.20/0.49 # Termbank termtop insertions : 154
% 0.20/0.49 # Search garbage collected termcells : 73
% 0.20/0.49
% 0.20/0.49 # -------------------------------------------------
% 0.20/0.49 # User time : 0.003 s
% 0.20/0.49 # System time : 0.001 s
% 0.20/0.49 # Total time : 0.004 s
% 0.20/0.49 # Maximum resident set size: 1764 pages
% 0.20/0.49
% 0.20/0.49 # -------------------------------------------------
% 0.20/0.49 # User time : 0.003 s
% 0.20/0.49 # System time : 0.004 s
% 0.20/0.49 # Total time : 0.007 s
% 0.20/0.49 # Maximum resident set size: 1720 pages
% 0.20/0.49 % E---3.1 exiting
% 0.20/0.49 % E exiting
%------------------------------------------------------------------------------