TSTP Solution File: SYO212^5 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO212^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 08:45:09 EDT 2024
% Result : Theorem 0.15s 0.40s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 3 unt; 3 typ; 0 def)
% Number of atoms : 64 ( 0 equ; 0 cnn)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 81 ( 24 ~; 20 |; 13 &; 22 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 4 con; 0-1 aty)
% Number of variables : 2 ( 0 ^ 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
b: $o ).
thf(decl_23,type,
a: $o ).
thf(decl_24,type,
epred1_0: $o > $o ).
thf(cEMB2,conjecture,
! [X1: $o > $o] :
( ( ( X1 @ a )
& ( X1 @ b ) )
=> ( X1
@ ( a
& b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cEMB2) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: $o > $o] :
( ( ( X1 @ a )
& ( X1 @ b ) )
=> ( X1
@ ( a
& b ) ) ),
inference(assume_negation,[status(cth)],[cEMB2]) ).
thf(c_0_2,negated_conjecture,
( ( ~ a
| ( epred1_0 @ $true ) )
& ( a
| ( epred1_0 @ $false ) )
& ( ~ b
| ( epred1_0 @ $true ) )
& ( b
| ( epred1_0 @ $false ) )
& ( ~ a
| ~ b
| a )
& ( ~ ( epred1_0 @ $false )
| a )
& ( ~ a
| ~ b
| b )
& ( ~ ( epred1_0 @ $false )
| b )
& ( ~ a
| ~ b
| ~ ( epred1_0 @ $true ) )
& ( ~ ( epred1_0 @ $false )
| ~ ( epred1_0 @ $true ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fool_unroll,[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,
( b
| ~ ( epred1_0 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
( b
| ( epred1_0 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
( a
| ( epred1_0 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
( a
| ~ ( epred1_0 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
( ( epred1_0 @ $true )
| ~ b ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
b,
inference(csr,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_9,negated_conjecture,
( ~ a
| ~ b
| ~ ( epred1_0 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_10,negated_conjecture,
a,
inference(csr,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_11,negated_conjecture,
epred1_0 @ $true,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).
thf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_8]),c_0_10]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYO212^5 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.10 % Command : run_E %s %d THM
% 0.10/0.29 % Computer : n022.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon May 20 08:56:07 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.15/0.39 Running higher-order theorem proving
% 0.15/0.39 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
% 0.15/0.40 # Version: 3.1.0-ho
% 0.15/0.40 # Preprocessing class: HSSSSLSSSSSNSSA.
% 0.15/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.40 # Starting ho_unfolding_3 with 1500s (5) cores
% 0.15/0.40 # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.15/0.40 # Starting sh5l with 300s (1) cores
% 0.15/0.40 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.40 # new_bool_3 with pid 31775 completed with status 0
% 0.15/0.40 # Result found by new_bool_3
% 0.15/0.40 # Preprocessing class: HSSSSLSSSSSNSSA.
% 0.15/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.40 # Starting ho_unfolding_3 with 1500s (5) cores
% 0.15/0.40 # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.15/0.40 # Starting sh5l with 300s (1) cores
% 0.15/0.40 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.40 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.40 # Search class: HGHNF-FFSF00-SSSFFFNN
% 0.15/0.40 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.40 # Starting sh3 with 181s (1) cores
% 0.15/0.40 # sh3 with pid 31778 completed with status 0
% 0.15/0.40 # Result found by sh3
% 0.15/0.40 # Preprocessing class: HSSSSLSSSSSNSSA.
% 0.15/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.40 # Starting ho_unfolding_3 with 1500s (5) cores
% 0.15/0.40 # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.15/0.40 # Starting sh5l with 300s (1) cores
% 0.15/0.40 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.40 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.40 # Search class: HGHNF-FFSF00-SSSFFFNN
% 0.15/0.40 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.40 # Starting sh3 with 181s (1) cores
% 0.15/0.40 # Preprocessing time : 0.001 s
% 0.15/0.40 # Presaturation interreduction done
% 0.15/0.40
% 0.15/0.40 # Proof found!
% 0.15/0.40 # SZS status Theorem
% 0.15/0.40 # SZS output start CNFRefutation
% See solution above
% 0.15/0.40 # Parsed axioms : 3
% 0.15/0.40 # Removed by relevancy pruning/SinE : 2
% 0.15/0.40 # Initial clauses : 10
% 0.15/0.40 # Removed in clause preprocessing : 2
% 0.15/0.40 # Initial clauses in saturation : 8
% 0.15/0.40 # Processed clauses : 8
% 0.15/0.40 # ...of these trivial : 1
% 0.15/0.40 # ...subsumed : 0
% 0.15/0.40 # ...remaining for further processing : 6
% 0.15/0.40 # Other redundant clauses eliminated : 0
% 0.15/0.40 # Clauses deleted for lack of memory : 0
% 0.15/0.40 # Backward-subsumed : 2
% 0.15/0.40 # Backward-rewritten : 0
% 0.15/0.40 # Generated clauses : 0
% 0.15/0.40 # ...of the previous two non-redundant : 0
% 0.15/0.40 # ...aggressively subsumed : 0
% 0.15/0.40 # Contextual simplify-reflections : 2
% 0.15/0.40 # Paramodulations : 0
% 0.15/0.40 # Factorizations : 0
% 0.15/0.40 # NegExts : 0
% 0.15/0.40 # Equation resolutions : 0
% 0.15/0.40 # Disequality decompositions : 0
% 0.15/0.40 # Total rewrite steps : 6
% 0.15/0.40 # ...of those cached : 3
% 0.15/0.40 # Propositional unsat checks : 0
% 0.15/0.40 # Propositional check models : 0
% 0.15/0.40 # Propositional check unsatisfiable : 0
% 0.15/0.40 # Propositional clauses : 0
% 0.15/0.40 # Propositional clauses after purity: 0
% 0.15/0.40 # Propositional unsat core size : 0
% 0.15/0.40 # Propositional preprocessing time : 0.000
% 0.15/0.40 # Propositional encoding time : 0.000
% 0.15/0.40 # Propositional solver time : 0.000
% 0.15/0.40 # Success case prop preproc time : 0.000
% 0.15/0.40 # Success case prop encoding time : 0.000
% 0.15/0.40 # Success case prop solver time : 0.000
% 0.15/0.40 # Current number of processed clauses : 4
% 0.15/0.40 # Positive orientable unit clauses : 3
% 0.15/0.40 # Positive unorientable unit clauses: 0
% 0.15/0.40 # Negative unit clauses : 1
% 0.15/0.40 # Non-unit-clauses : 0
% 0.15/0.40 # Current number of unprocessed clauses: 0
% 0.15/0.40 # ...number of literals in the above : 0
% 0.15/0.40 # Current number of archived formulas : 0
% 0.15/0.40 # Current number of archived clauses : 2
% 0.15/0.40 # Clause-clause subsumption calls (NU) : 2
% 0.15/0.40 # Rec. Clause-clause subsumption calls : 2
% 0.15/0.40 # Non-unit clause-clause subsumptions : 2
% 0.15/0.40 # Unit Clause-clause subsumption calls : 2
% 0.15/0.40 # Rewrite failures with RHS unbound : 0
% 0.15/0.40 # BW rewrite match attempts : 2
% 0.15/0.40 # BW rewrite match successes : 2
% 0.15/0.40 # Condensation attempts : 0
% 0.15/0.40 # Condensation successes : 0
% 0.15/0.40 # Termbank termtop insertions : 367
% 0.15/0.40 # Search garbage collected termcells : 77
% 0.15/0.40
% 0.15/0.40 # -------------------------------------------------
% 0.15/0.40 # User time : 0.002 s
% 0.15/0.40 # System time : 0.001 s
% 0.15/0.40 # Total time : 0.003 s
% 0.15/0.40 # Maximum resident set size: 1792 pages
% 0.15/0.40
% 0.15/0.40 # -------------------------------------------------
% 0.15/0.40 # User time : 0.003 s
% 0.15/0.40 # System time : 0.003 s
% 0.15/0.40 # Total time : 0.005 s
% 0.15/0.40 # Maximum resident set size: 1700 pages
% 0.15/0.40 % E---3.1 exiting
% 0.15/0.40 % E exiting
%------------------------------------------------------------------------------