TSTP Solution File: ITP238^3 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP238^3 : TPTP v8.2.0. Released v8.1.0.
% 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 : 300s
% WCLimit : 300s
% DateTime : Mon May 20 22:17:20 EDT 2024
% Result : Theorem 54.54s 14.80s
% Output : CNFRefutation 54.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 28
% Syntax : Number of formulae : 41 ( 13 unt; 22 typ; 0 def)
% Number of atoms : 25 ( 18 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 98 ( 11 ~; 4 |; 0 &; 81 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 8 ( 0 ^ 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_sort2,type,
num: $tType ).
thf(decl_sort3,type,
option_nat: $tType ).
thf(decl_sort4,type,
vEBT_VEBT: $tType ).
thf(decl_sort5,type,
list_VEBT_VEBT: $tType ).
thf(decl_245,type,
one_one_nat: nat ).
thf(decl_423,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(decl_452,type,
suc: nat > nat ).
thf(decl_519,type,
bit0: num > num ).
thf(decl_521,type,
one: num ).
thf(decl_529,type,
numeral_numeral_nat: num > nat ).
thf(decl_535,type,
none_nat: option_nat ).
thf(decl_538,type,
some_nat: nat > option_nat ).
thf(decl_761,type,
divide_divide_nat: nat > nat > nat ).
thf(decl_910,type,
vEBT_VEBT_high: nat > nat > nat ).
thf(decl_947,type,
vEBT_vebt_mint: vEBT_VEBT > option_nat ).
thf(decl_988,type,
deg: nat ).
thf(decl_992,type,
na: nat ).
thf(decl_994,type,
thesis: $o ).
thf(decl_995,type,
treeList: list_VEBT_VEBT ).
thf(decl_996,type,
xa: nat ).
thf(decl_1013,type,
esk13_1: option_nat > nat ).
thf(conj_0,hypothesis,
! [X20450: nat] :
( ( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
= ( some_nat @ X20450 ) )
=> thesis ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(fact_1__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062,axiom,
( ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= na ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062) ).
thf(fact_1123_Suc__1,axiom,
( ( suc @ one_one_nat )
= ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1123_Suc__1) ).
thf(conj_1,conjecture,
thesis,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(fact_85_option_Oexhaust,axiom,
! [X125: option_nat] :
( ( X125 != none_nat )
=> ~ ! [X126: nat] :
( X125
!= ( some_nat @ X126 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_option_Oexhaust) ).
thf(fact_0_False,axiom,
( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
!= none_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_False) ).
thf(c_0_6,hypothesis,
! [X29615: nat] :
( ( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
!= ( some_nat @ X29615 ) )
| thesis ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])]) ).
thf(c_0_7,plain,
( ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= na ),
inference(split_conjunct,[status(thm)],[fact_1__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062]) ).
thf(c_0_8,plain,
( ( suc @ one_one_nat )
= ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
inference(split_conjunct,[status(thm)],[fact_1123_Suc__1]) ).
thf(c_0_9,negated_conjecture,
~ thesis,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])]) ).
thf(c_0_10,hypothesis,
! [X3: nat] :
( thesis
| ( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
!= ( some_nat @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_11,plain,
( ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) )
= na ),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_12,negated_conjecture,
~ thesis,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_13,plain,
! [X29651: option_nat] :
( ( X29651 = none_nat )
| ( X29651
= ( some_nat @ ( esk13_1 @ X29651 ) ) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_85_option_Oexhaust])])]) ).
thf(c_0_14,plain,
( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) )
!= none_nat ),
inference(split_conjunct,[status(thm)],[fact_0_False]) ).
thf(c_0_15,hypothesis,
! [X3: nat] :
( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) )
!= ( some_nat @ X3 ) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_8]),c_0_11]),c_0_12]) ).
thf(c_0_16,plain,
! [X22: option_nat] :
( ( X22 = none_nat )
| ( X22
= ( some_nat @ ( esk13_1 @ X22 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_17,plain,
( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) )
!= none_nat ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_8]),c_0_11]) ).
thf(c_0_18,hypothesis,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16])]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP238^3 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat May 18 16:59:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.21/0.48 Running higher-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 54.54/14.80 # Version: 3.1.0-ho
% 54.54/14.80 # partial match(1): HMLMSMSMSSLCHFA
% 54.54/14.80 # Preprocessing class: HMLMSMLMSSLCHFA.
% 54.54/14.80 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 54.54/14.80 # Starting new_ho_10 with 1500s (5) cores
% 54.54/14.80 # Starting sh5l with 300s (1) cores
% 54.54/14.80 # Starting new_bool_1 with 300s (1) cores
% 54.54/14.80 # Starting new_bool_2 with 300s (1) cores
% 54.54/14.80 # new_bool_2 with pid 6601 completed with status 0
% 54.54/14.80 # Result found by new_bool_2
% 54.54/14.80 # partial match(1): HMLMSMSMSSLCHFA
% 54.54/14.80 # Preprocessing class: HMLMSMLMSSLCHFA.
% 54.54/14.80 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 54.54/14.80 # Starting new_ho_10 with 1500s (5) cores
% 54.54/14.80 # Starting sh5l with 300s (1) cores
% 54.54/14.80 # Starting new_bool_1 with 300s (1) cores
% 54.54/14.80 # Starting new_bool_2 with 300s (1) cores
% 54.54/14.80 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 54.54/14.80 # Search class: HGHSM-SMLM32-DHFFFFBN
% 54.54/14.80 # partial match(1): HGHSM-SMLM32-DHFFFSBN
% 54.54/14.80 # Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 54.54/14.80 # Starting new_ho_10 with 180s (1) cores
% 54.54/14.80 # new_ho_10 with pid 6731 completed with status 0
% 54.54/14.80 # Result found by new_ho_10
% 54.54/14.80 # partial match(1): HMLMSMSMSSLCHFA
% 54.54/14.80 # Preprocessing class: HMLMSMLMSSLCHFA.
% 54.54/14.80 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 54.54/14.80 # Starting new_ho_10 with 1500s (5) cores
% 54.54/14.80 # Starting sh5l with 300s (1) cores
% 54.54/14.80 # Starting new_bool_1 with 300s (1) cores
% 54.54/14.80 # Starting new_bool_2 with 300s (1) cores
% 54.54/14.80 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 54.54/14.80 # Search class: HGHSM-SMLM32-DHFFFFBN
% 54.54/14.80 # partial match(1): HGHSM-SMLM32-DHFFFSBN
% 54.54/14.80 # Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 54.54/14.80 # Starting new_ho_10 with 180s (1) cores
% 54.54/14.80 # Preprocessing time : 0.206 s
% 54.54/14.80 # Presaturation interreduction done
% 54.54/14.80
% 54.54/14.80 # Proof found!
% 54.54/14.80 # SZS status Theorem
% 54.54/14.80 # SZS output start CNFRefutation
% See solution above
% 54.54/14.80 # Parsed axioms : 11333
% 54.54/14.80 # Removed by relevancy pruning/SinE : 7325
% 54.54/14.80 # Initial clauses : 11261
% 54.54/14.80 # Removed in clause preprocessing : 2093
% 54.54/14.80 # Initial clauses in saturation : 9168
% 54.54/14.80 # Processed clauses : 12584
% 54.54/14.80 # ...of these trivial : 363
% 54.54/14.80 # ...subsumed : 3377
% 54.54/14.80 # ...remaining for further processing : 8844
% 54.54/14.80 # Other redundant clauses eliminated : 3031
% 54.54/14.80 # Clauses deleted for lack of memory : 0
% 54.54/14.80 # Backward-subsumed : 35
% 54.54/14.80 # Backward-rewritten : 90
% 54.54/14.80 # Generated clauses : 4457
% 54.54/14.80 # ...of the previous two non-redundant : 3447
% 54.54/14.80 # ...aggressively subsumed : 0
% 54.54/14.80 # Contextual simplify-reflections : 127
% 54.54/14.80 # Paramodulations : 1670
% 54.54/14.80 # Factorizations : 0
% 54.54/14.80 # NegExts : 0
% 54.54/14.80 # Equation resolutions : 3046
% 54.54/14.80 # Disequality decompositions : 0
% 54.54/14.80 # Total rewrite steps : 20202
% 54.54/14.80 # ...of those cached : 19282
% 54.54/14.80 # Propositional unsat checks : 0
% 54.54/14.80 # Propositional check models : 0
% 54.54/14.80 # Propositional check unsatisfiable : 0
% 54.54/14.80 # Propositional clauses : 0
% 54.54/14.80 # Propositional clauses after purity: 0
% 54.54/14.80 # Propositional unsat core size : 0
% 54.54/14.80 # Propositional preprocessing time : 0.000
% 54.54/14.80 # Propositional encoding time : 0.000
% 54.54/14.80 # Propositional solver time : 0.000
% 54.54/14.80 # Success case prop preproc time : 0.000
% 54.54/14.80 # Success case prop encoding time : 0.000
% 54.54/14.80 # Success case prop solver time : 0.000
% 54.54/14.80 # Current number of processed clauses : 861
% 54.54/14.80 # Positive orientable unit clauses : 369
% 54.54/14.80 # Positive unorientable unit clauses: 0
% 54.54/14.80 # Negative unit clauses : 206
% 54.54/14.80 # Non-unit-clauses : 286
% 54.54/14.80 # Current number of unprocessed clauses: 5296
% 54.54/14.80 # ...number of literals in the above : 18771
% 54.54/14.80 # Current number of archived formulas : 0
% 54.54/14.80 # Current number of archived clauses : 5400
% 54.54/14.80 # Clause-clause subsumption calls (NU) : 25568577
% 54.54/14.80 # Rec. Clause-clause subsumption calls : 1364329
% 54.54/14.80 # Non-unit clause-clause subsumptions : 3042
% 54.54/14.80 # Unit Clause-clause subsumption calls : 50916
% 54.54/14.80 # Rewrite failures with RHS unbound : 0
% 54.54/14.80 # BW rewrite match attempts : 1056
% 54.54/14.80 # BW rewrite match successes : 260
% 54.54/14.80 # Condensation attempts : 12584
% 54.54/14.80 # Condensation successes : 36
% 54.54/14.80 # Termbank termtop insertions : 3252313
% 54.54/14.80 # Search garbage collected termcells : 200495
% 54.54/14.80
% 54.54/14.80 # -------------------------------------------------
% 54.54/14.80 # User time : 13.150 s
% 54.54/14.80 # System time : 0.134 s
% 54.54/14.80 # Total time : 13.284 s
% 54.54/14.80 # Maximum resident set size: 51836 pages
% 54.54/14.80
% 54.54/14.80 # -------------------------------------------------
% 54.54/14.80 # User time : 14.025 s
% 54.54/14.80 # System time : 0.166 s
% 54.54/14.80 # Total time : 14.191 s
% 54.54/14.80 # Maximum resident set size: 27920 pages
% 54.54/14.80 % E---3.1 exiting
% 54.54/14.80 % E exiting
%------------------------------------------------------------------------------