TSTP Solution File: SYO359^5 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO359^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n018.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 08:45:43 EDT 2024
% Result : Theorem 0.20s 0.48s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 3 unt; 6 typ; 0 def)
% Number of atoms : 57 ( 5 equ; 0 cnn)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 103 ( 19 ~; 19 |; 4 &; 49 @)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 0 ^ 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
b: $tType ).
thf(decl_sort2,type,
gtype: $tType ).
thf(decl_22,type,
g: b > $o ).
thf(decl_23,type,
h: ( b > $o ) > gtype ).
thf(decl_24,type,
f: b > $o ).
thf(decl_25,type,
esk1_0: b ).
thf(cEXT1,conjecture,
( ( ! [X1: b] :
( ( f @ X1 )
<=> ( g @ X1 ) )
=> ! [X2: ( b > $o ) > $o] :
( ( X2 @ f )
=> ( X2 @ g ) ) )
=> ( ! [X1: b] :
( ( f @ X1 )
<=> ( g @ X1 ) )
=> ( ( h @ f )
= ( h @ g ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cEXT1) ).
thf(c_0_1,negated_conjecture,
~ ( ( ! [X1: b] :
( ( f @ X1 )
<=> ( g @ X1 ) )
=> ! [X2: ( b > $o ) > $o] :
( ( X2 @ f )
=> ( X2 @ g ) ) )
=> ( ! [X1: b] :
( ( f @ X1 )
<=> ( g @ X1 ) )
=> ( ( h @ f )
= ( h @ g ) ) ) ),
inference(assume_negation,[status(cth)],[cEXT1]) ).
thf(c_0_2,negated_conjecture,
! [X7: ( b > $o ) > $o,X8: b] :
( ( ~ ( f @ esk1_0 )
| ~ ( g @ esk1_0 )
| ~ ( X7 @ f )
| ( X7 @ g ) )
& ( ( f @ esk1_0 )
| ( g @ esk1_0 )
| ~ ( X7 @ f )
| ( X7 @ g ) )
& ( ~ ( f @ X8 )
| ( g @ X8 ) )
& ( ~ ( g @ X8 )
| ( f @ X8 ) )
& ( ( h @ f )
!= ( h @ g ) ) ),
inference(distribute,[status(thm)],[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,
! [X2: ( b > $o ) > $o] :
( ( X2 @ g )
| ~ ( f @ esk1_0 )
| ~ ( g @ esk1_0 )
| ~ ( X2 @ f ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X1: b] :
( ( f @ X1 )
| ~ ( g @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X2: ( b > $o ) > $o] :
( ( f @ esk1_0 )
| ( g @ esk1_0 )
| ( X2 @ g )
| ~ ( X2 @ f ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X1: b] :
( ( g @ X1 )
| ~ ( f @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
! [X2: ( b > $o ) > $o] :
( ( X2 @ g )
| ~ ( g @ esk1_0 )
| ~ ( X2 @ f ) ),
inference(csr,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_8,negated_conjecture,
( ( h @ f )
!= ( h @ g ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
! [X2: ( b > $o ) > $o] :
( ( X2 @ g )
| ~ ( X2 @ f ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).
thf(c_0_10,negated_conjecture,
g != f,
inference(ext_eqres,[status(thm)],[c_0_8]) ).
thf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_9]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO359^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon May 20 09:43:38 EDT 2024
% 0.13/0.34 % 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: HSSSSMSSSSSNHHA.
% 0.20/0.48 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48 # Starting sh2lt with 1200s (4) cores
% 0.20/0.48 # Starting new_ho_10_unif with 300s (1) cores
% 0.20/0.48 # Starting full_lambda_6 with 300s (1) cores
% 0.20/0.48 # Starting post_as_ho1 with 300s (1) cores
% 0.20/0.48 # Starting ehoh_best3_rw with 300s (1) cores
% 0.20/0.48 # full_lambda_6 with pid 16773 completed with status 0
% 0.20/0.48 # Result found by full_lambda_6
% 0.20/0.48 # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.20/0.48 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48 # Starting sh2lt with 1200s (4) cores
% 0.20/0.48 # Starting new_ho_10_unif with 300s (1) cores
% 0.20/0.48 # Starting full_lambda_6 with 300s (1) cores
% 0.20/0.48 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.20/0.48 # Search class: HGUSF-FFSF11-SHHFFSBN
% 0.20/0.48 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48 # Starting sh5l with 60s (1) cores
% 0.20/0.48 # sh5l with pid 16778 completed with status 0
% 0.20/0.48 # Result found by sh5l
% 0.20/0.48 # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.20/0.48 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48 # Starting sh2lt with 1200s (4) cores
% 0.20/0.48 # Starting new_ho_10_unif with 300s (1) cores
% 0.20/0.48 # Starting full_lambda_6 with 300s (1) cores
% 0.20/0.48 # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.20/0.48 # Search class: HGUSF-FFSF11-SHHFFSBN
% 0.20/0.48 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48 # Starting sh5l with 60s (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 : 6
% 0.20/0.48 # Removed by relevancy pruning/SinE : 5
% 0.20/0.48 # Initial clauses : 5
% 0.20/0.48 # Removed in clause preprocessing : 0
% 0.20/0.48 # Initial clauses in saturation : 5
% 0.20/0.48 # Processed clauses : 13
% 0.20/0.48 # ...of these trivial : 0
% 0.20/0.48 # ...subsumed : 0
% 0.20/0.48 # ...remaining for further processing : 13
% 0.20/0.48 # Other redundant clauses eliminated : 0
% 0.20/0.48 # Clauses deleted for lack of memory : 0
% 0.20/0.48 # Backward-subsumed : 1
% 0.20/0.48 # Backward-rewritten : 0
% 0.20/0.48 # Generated clauses : 8
% 0.20/0.48 # ...of the previous two non-redundant : 5
% 0.20/0.48 # ...aggressively subsumed : 0
% 0.20/0.48 # Contextual simplify-reflections : 4
% 0.20/0.48 # Paramodulations : 2
% 0.20/0.48 # Factorizations : 0
% 0.20/0.48 # NegExts : 1
% 0.20/0.48 # Equation resolutions : 0
% 0.20/0.48 # Disequality decompositions : 0
% 0.20/0.48 # Total rewrite steps : 0
% 0.20/0.48 # ...of those cached : 0
% 0.20/0.48 # Propositional unsat checks : 0
% 0.20/0.48 # Propositional check models : 0
% 0.20/0.48 # Propositional check unsatisfiable : 0
% 0.20/0.48 # Propositional clauses : 0
% 0.20/0.48 # Propositional clauses after purity: 0
% 0.20/0.48 # Propositional unsat core size : 0
% 0.20/0.48 # Propositional preprocessing time : 0.000
% 0.20/0.48 # Propositional encoding time : 0.000
% 0.20/0.48 # Propositional solver time : 0.000
% 0.20/0.48 # Success case prop preproc time : 0.000
% 0.20/0.48 # Success case prop encoding time : 0.000
% 0.20/0.48 # Success case prop solver time : 0.000
% 0.20/0.48 # Current number of processed clauses : 7
% 0.20/0.48 # Positive orientable unit clauses : 0
% 0.20/0.48 # Positive unorientable unit clauses: 0
% 0.20/0.48 # Negative unit clauses : 4
% 0.20/0.48 # Non-unit-clauses : 3
% 0.20/0.48 # Current number of unprocessed clauses: 1
% 0.20/0.48 # ...number of literals in the above : 2
% 0.20/0.48 # Current number of archived formulas : 0
% 0.20/0.48 # Current number of archived clauses : 6
% 0.20/0.48 # Clause-clause subsumption calls (NU) : 17
% 0.20/0.48 # Rec. Clause-clause subsumption calls : 15
% 0.20/0.48 # Non-unit clause-clause subsumptions : 5
% 0.20/0.48 # Unit Clause-clause subsumption calls : 3
% 0.20/0.48 # Rewrite failures with RHS unbound : 0
% 0.20/0.48 # BW rewrite match attempts : 0
% 0.20/0.48 # BW rewrite match successes : 0
% 0.20/0.48 # Condensation attempts : 13
% 0.20/0.48 # Condensation successes : 0
% 0.20/0.48 # Termbank termtop insertions : 733
% 0.20/0.48 # Search garbage collected termcells : 165
% 0.20/0.48
% 0.20/0.48 # -------------------------------------------------
% 0.20/0.48 # User time : 0.003 s
% 0.20/0.48 # System time : 0.002 s
% 0.20/0.48 # Total time : 0.005 s
% 0.20/0.48 # Maximum resident set size: 1796 pages
% 0.20/0.48
% 0.20/0.48 # -------------------------------------------------
% 0.20/0.48 # User time : 0.003 s
% 0.20/0.48 # System time : 0.005 s
% 0.20/0.48 # Total time : 0.008 s
% 0.20/0.48 # Maximum resident set size: 1716 pages
% 0.20/0.48 % E---3.1 exiting
% 0.20/0.49 % E exiting
%------------------------------------------------------------------------------