TSTP Solution File: SYO310^5 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO310^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 08:45:35 EDT 2024
% Result : Theorem 0.22s 0.50s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 1 unt; 1 typ; 0 def)
% Number of atoms : 219 ( 0 equ; 0 cnn)
% Maximal formula atoms : 120 ( 18 avg)
% Number of connectives : 417 ( 134 ~; 89 |; 16 &; 174 @)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 10 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 1 usr; 2 con; 0-1 aty)
% Number of variables : 12 ( 0 ^ 10 !; 2 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
epred1_0: $o > $o ).
thf(cOMEGA_EXAMPLE,conjecture,
( ? [X1: $o > $o > $o] :
( ( X1 @ $true @ $true )
& ( X1 @ ~ $true @ ~ $true )
& ~ ( X1 @ ~ $true @ $true )
& ~ ( X1 @ $true @ ~ $true ) )
& ! [X2: $o > $o] :
( ( X2 @ $true )
<=> ( X2
@ ( $true
=> $true ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cOMEGA_EXAMPLE) ).
thf(c_0_1,negated_conjecture,
~ ( ? [X1: $o > $o > $o] :
( ( X1 @ $true @ $true )
& ( X1 @ ~ $true @ ~ $true )
& ~ ( X1 @ ~ $true @ $true )
& ~ ( X1 @ $true @ ~ $true ) )
& ! [X2: $o > $o] :
( ( X2 @ $true )
<=> ( X2
@ ( $true
=> $true ) ) ) ),
inference(assume_negation,[status(cth)],[cOMEGA_EXAMPLE]) ).
thf(c_0_2,negated_conjecture,
! [X5: $o > $o > $o] :
( ( $true
| ~ $true
| $true
| ~ ( epred1_0 @ $true )
| ~ ( X5 @ $true @ $true )
| ~ ( X5 @ ~ $true @ ~ $true )
| ( X5 @ ~ $true @ $true )
| ( X5 @ $true @ ~ $true ) )
& ( ~ $true
| ~ $true
| $true
| ~ ( epred1_0 @ $true )
| ~ ( X5 @ $true @ $true )
| ~ ( X5 @ ~ $true @ ~ $true )
| ( X5 @ ~ $true @ $true )
| ( X5 @ $true @ ~ $true ) )
& ( ~ ( epred1_0 @ $false )
| ~ $true
| $true
| ~ ( epred1_0 @ $true )
| ~ ( X5 @ $true @ $true )
| ~ ( X5 @ ~ $true @ ~ $true )
| ( X5 @ ~ $true @ $true )
| ( X5 @ $true @ ~ $true ) )
& ( $true
| ~ ( epred1_0 @ $true )
| ~ ( epred1_0 @ $true )
| ~ ( X5 @ $true @ $true )
| ~ ( X5 @ ~ $true @ ~ $true )
| ( X5 @ ~ $true @ $true )
| ( X5 @ $true @ ~ $true ) )
& ( ~ $true
| ~ ( epred1_0 @ $true )
| ~ ( epred1_0 @ $true )
| ~ ( X5 @ $true @ $true )
| ~ ( X5 @ ~ $true @ ~ $true )
| ( X5 @ ~ $true @ $true )
| ( X5 @ $true @ ~ $true ) )
& ( ~ ( epred1_0 @ $false )
| ~ ( epred1_0 @ $true )
| ~ ( epred1_0 @ $true )
| ~ ( X5 @ $true @ $true )
| ~ ( X5 @ ~ $true @ ~ $true )
| ( X5 @ ~ $true @ $true )
| ( X5 @ $true @ ~ $true ) )
& ( $true
| ( epred1_0 @ $true )
| ( epred1_0 @ $true )
| ~ ( X5 @ $true @ $true )
| ~ ( X5 @ ~ $true @ ~ $true )
| ( X5 @ ~ $true @ $true )
| ( X5 @ $true @ ~ $true ) )
& ( ~ $true
| ( epred1_0 @ $true )
| ( epred1_0 @ $true )
| ~ ( X5 @ $true @ $true )
| ~ ( X5 @ ~ $true @ ~ $true )
| ( X5 @ ~ $true @ $true )
| ( X5 @ $true @ ~ $true ) )
& ( ~ $true
| $true
| ( epred1_0 @ $false )
| ( epred1_0 @ $true )
| ~ ( X5 @ $true @ $true )
| ~ ( X5 @ ~ $true @ ~ $true )
| ( X5 @ ~ $true @ $true )
| ( X5 @ $true @ ~ $true ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fool_unroll,[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,
! [X1: $o > $o > $o] :
( ( X1 @ ~ $true @ $true )
| ( X1 @ $true @ ~ $true )
| ~ $true
| ~ ( epred1_0 @ $true )
| ~ ( epred1_0 @ $true )
| ~ ( X1 @ $true @ $true )
| ~ ( X1 @ ~ $true @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X1: $o > $o > $o] :
( ( epred1_0 @ $true )
| ( epred1_0 @ $true )
| ( X1 @ ~ $true @ $true )
| ( X1 @ $true @ ~ $true )
| ~ $true
| ~ ( X1 @ $true @ $true )
| ~ ( X1 @ ~ $true @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X1: $o > $o > $o] :
( ( X1 @ $true @ ~ $true )
| ( X1 @ ~ $true @ $true )
| ~ ( epred1_0 @ $true )
| ~ ( X1 @ $true @ $true )
| ~ ( X1 @ ~ $true @ ~ $true ) ),
inference(cn,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X1: $o > $o > $o] :
( ( epred1_0 @ $true )
| ( X1 @ $true @ ~ $true )
| ( X1 @ ~ $true @ $true )
| ~ ( X1 @ $true @ $true )
| ~ ( X1 @ ~ $true @ ~ $true ) ),
inference(cn,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
! [X1: $o > $o > $o] :
( ( X1 @ ~ $true @ $true )
| ( X1 @ $true @ ~ $true )
| ~ ( X1 @ $true @ $true )
| ~ ( X1 @ ~ $true @ ~ $true )
| ~ ( epred1_0 @ $true ) ),
inference(cn,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
! [X1: $o > $o > $o] :
( ( X1 @ ~ $true @ $true )
| ( X1 @ $true @ ~ $true )
| ( epred1_0 @ $true )
| ~ ( X1 @ $true @ $true )
| ~ ( X1 @ ~ $true @ ~ $true ) ),
inference(cn,[status(thm)],[c_0_6]) ).
thf(c_0_9,negated_conjecture,
~ ( epred1_0 @ $true ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(primitive_enumeration,[status(thm)],[c_0_7])])]) ).
thf(c_0_10,negated_conjecture,
! [X1: $o > $o > $o] :
( ( X1 @ $true @ ~ $true )
| ( X1 @ ~ $true @ $true )
| ~ ( X1 @ $true @ $true )
| ~ ( X1 @ ~ $true @ ~ $true ) ),
inference(sr,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(primitive_enumeration,[status(thm)],[c_0_10])])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYO310^5 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.14 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 10:15:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.49 Running higher-order theorem proving
% 0.22/0.49 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
% 0.22/0.50 # Version: 3.1.0-ho
% 0.22/0.50 # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.22/0.50 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.50 # Starting post_as_ho12 with 300s (1) cores
% 0.22/0.50 # Starting new_bool_9 with 300s (1) cores
% 0.22/0.50 # Starting post_as_ho1 with 300s (1) cores
% 0.22/0.50 # Starting post_as_ho4 with 300s (1) cores
% 0.22/0.50 # Starting post_as_ho2 with 300s (1) cores
% 0.22/0.50 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.22/0.50 # Starting full_lambda_10 with 300s (1) cores
% 0.22/0.50 # Starting new_ho_8 with 300s (1) cores
% 0.22/0.50 # post_as_ho12 with pid 3291 completed with status 0
% 0.22/0.50 # Result found by post_as_ho12
% 0.22/0.50 # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.22/0.50 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.50 # Starting post_as_ho12 with 300s (1) cores
% 0.22/0.50 # No SInE strategy applied
% 0.22/0.50 # Search class: HGUNF-FFSF00-SSSFFMBN
% 0.22/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.50 # Starting ehoh_best_nonlift with 163s (1) cores
% 0.22/0.50 # ehoh_best_nonlift with pid 3299 completed with status 0
% 0.22/0.50 # Result found by ehoh_best_nonlift
% 0.22/0.50 # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.22/0.50 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.50 # Starting post_as_ho12 with 300s (1) cores
% 0.22/0.50 # No SInE strategy applied
% 0.22/0.50 # Search class: HGUNF-FFSF00-SSSFFMBN
% 0.22/0.50 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.50 # Starting ehoh_best_nonlift with 163s (1) cores
% 0.22/0.50 # Preprocessing time : 0.001 s
% 0.22/0.50 # Presaturation interreduction done
% 0.22/0.50
% 0.22/0.50 # Proof found!
% 0.22/0.50 # SZS status Theorem
% 0.22/0.50 # SZS output start CNFRefutation
% See solution above
% 0.22/0.50 # Parsed axioms : 1
% 0.22/0.50 # Removed by relevancy pruning/SinE : 0
% 0.22/0.50 # Initial clauses : 9
% 0.22/0.50 # Removed in clause preprocessing : 6
% 0.22/0.50 # Initial clauses in saturation : 3
% 0.22/0.50 # Processed clauses : 6
% 0.22/0.50 # ...of these trivial : 0
% 0.22/0.50 # ...subsumed : 0
% 0.22/0.50 # ...remaining for further processing : 6
% 0.22/0.50 # Other redundant clauses eliminated : 0
% 0.22/0.50 # Clauses deleted for lack of memory : 0
% 0.22/0.50 # Backward-subsumed : 1
% 0.22/0.50 # Backward-rewritten : 0
% 0.22/0.50 # Generated clauses : 38
% 0.22/0.50 # ...of the previous two non-redundant : 4
% 0.22/0.50 # ...aggressively subsumed : 0
% 0.22/0.50 # Contextual simplify-reflections : 0
% 0.22/0.50 # Paramodulations : 0
% 0.22/0.50 # Factorizations : 0
% 0.22/0.50 # NegExts : 0
% 0.22/0.50 # Equation resolutions : 0
% 0.22/0.50 # Disequality decompositions : 0
% 0.22/0.50 # Total rewrite steps : 0
% 0.22/0.50 # ...of those cached : 0
% 0.22/0.50 # Propositional unsat checks : 0
% 0.22/0.50 # Propositional check models : 0
% 0.22/0.50 # Propositional check unsatisfiable : 0
% 0.22/0.50 # Propositional clauses : 0
% 0.22/0.50 # Propositional clauses after purity: 0
% 0.22/0.50 # Propositional unsat core size : 0
% 0.22/0.50 # Propositional preprocessing time : 0.000
% 0.22/0.50 # Propositional encoding time : 0.000
% 0.22/0.50 # Propositional solver time : 0.000
% 0.22/0.50 # Success case prop preproc time : 0.000
% 0.22/0.50 # Success case prop encoding time : 0.000
% 0.22/0.50 # Success case prop solver time : 0.000
% 0.22/0.50 # Current number of processed clauses : 2
% 0.22/0.50 # Positive orientable unit clauses : 0
% 0.22/0.50 # Positive unorientable unit clauses: 0
% 0.22/0.50 # Negative unit clauses : 1
% 0.22/0.50 # Non-unit-clauses : 1
% 0.22/0.50 # Current number of unprocessed clauses: 3
% 0.22/0.50 # ...number of literals in the above : 12
% 0.22/0.50 # Current number of archived formulas : 0
% 0.22/0.50 # Current number of archived clauses : 4
% 0.22/0.50 # Clause-clause subsumption calls (NU) : 4
% 0.22/0.50 # Rec. Clause-clause subsumption calls : 0
% 0.22/0.50 # Non-unit clause-clause subsumptions : 0
% 0.22/0.50 # Unit Clause-clause subsumption calls : 1
% 0.22/0.50 # Rewrite failures with RHS unbound : 0
% 0.22/0.50 # BW rewrite match attempts : 0
% 0.22/0.50 # BW rewrite match successes : 0
% 0.22/0.50 # Condensation attempts : 0
% 0.22/0.50 # Condensation successes : 0
% 0.22/0.50 # Termbank termtop insertions : 1749
% 0.22/0.50 # Search garbage collected termcells : 185
% 0.22/0.50
% 0.22/0.50 # -------------------------------------------------
% 0.22/0.50 # User time : 0.003 s
% 0.22/0.50 # System time : 0.002 s
% 0.22/0.50 # Total time : 0.005 s
% 0.22/0.50 # Maximum resident set size: 1760 pages
% 0.22/0.50
% 0.22/0.50 # -------------------------------------------------
% 0.22/0.50 # User time : 0.003 s
% 0.22/0.50 # System time : 0.005 s
% 0.22/0.50 # Total time : 0.008 s
% 0.22/0.50 # Maximum resident set size: 1684 pages
% 0.22/0.50 % E---3.1 exiting
% 0.22/0.50 % E exiting
%------------------------------------------------------------------------------