TSTP Solution File: ITP243^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP243^1 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.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 22:17:25 EDT 2024
% Result : Theorem 52.72s 14.37s
% Output : CNFRefutation 52.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 26
% Syntax : Number of formulae : 37 ( 13 unt; 21 typ; 0 def)
% Number of atoms : 21 ( 12 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 115 ( 6 ~; 3 |; 1 &; 104 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 8 con; 0-3 aty)
% Number of variables : 6 ( 0 ^ 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
num: $tType ).
thf(decl_sort2,type,
nat: $tType ).
thf(decl_sort3,type,
set_nat: $tType ).
thf(decl_sort4,type,
option_nat: $tType ).
thf(decl_sort5,type,
vEBT_VEBT: $tType ).
thf(decl_256,type,
one_one_nat: nat ).
thf(decl_465,type,
suc: nat > nat ).
thf(decl_533,type,
bit0: num > num ).
thf(decl_535,type,
one: num ).
thf(decl_543,type,
numeral_numeral_nat: num > nat ).
thf(decl_552,type,
some_nat: nat > option_nat ).
thf(decl_736,type,
divide_divide_nat: nat > nat > nat ).
thf(decl_879,type,
vEBT_VEBT_high: nat > nat > nat ).
thf(decl_897,type,
vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).
thf(decl_915,type,
vEBT_is_succ_in_set: set_nat > nat > nat > $o ).
thf(decl_916,type,
vEBT_vebt_succ: vEBT_VEBT > nat > option_nat ).
thf(decl_939,type,
deg: nat ).
thf(decl_943,type,
na: nat ).
thf(decl_944,type,
sc: nat ).
thf(decl_945,type,
summary: vEBT_VEBT ).
thf(decl_947,type,
xa: nat ).
thf(conj_0,conjecture,
vEBT_is_succ_in_set @ ( vEBT_VEBT_set_vebt @ summary ) @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ sc,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(fact_4__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/sandbox2/benchmark/theBenchmark.p',fact_4__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062) ).
thf(fact_2717_Suc__1,axiom,
( ( suc @ one_one_nat )
= ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2717_Suc__1) ).
thf(fact_0__C4_Ohyps_C_I3_J,axiom,
! [X1: nat,X2: nat] :
( ( ( vEBT_vebt_succ @ summary @ X1 )
= ( some_nat @ X2 ) )
<=> ( vEBT_is_succ_in_set @ ( vEBT_VEBT_set_vebt @ summary ) @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__C4_Ohyps_C_I3_J) ).
thf(fact_1__092_060open_062vebt__succ_Asummary_A_Ihigh_Ax_A_Ideg_Adiv_A2_J_J_A_061_ASome_Asc_092_060close_062,axiom,
( ( vEBT_vebt_succ @ summary @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
= ( some_nat @ sc ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062vebt__succ_Asummary_A_Ihigh_Ax_A_Ideg_Adiv_A2_J_J_A_061_ASome_Asc_092_060close_062) ).
thf(c_0_5,negated_conjecture,
~ ( vEBT_is_succ_in_set @ ( vEBT_VEBT_set_vebt @ summary ) @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ sc ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
thf(c_0_6,plain,
( ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= na ),
inference(split_conjunct,[status(thm)],[fact_4__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062]) ).
thf(c_0_7,plain,
( ( suc @ one_one_nat )
= ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
inference(split_conjunct,[status(thm)],[fact_2717_Suc__1]) ).
thf(c_0_8,negated_conjecture,
~ ( vEBT_is_succ_in_set @ ( vEBT_VEBT_set_vebt @ summary ) @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ sc ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
( ( divide_divide_nat @ deg @ ( suc @ one_one_nat ) )
= na ),
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_10,plain,
! [X30931: nat,X30932: nat] :
( ( ( ( vEBT_vebt_succ @ summary @ X30931 )
!= ( some_nat @ X30932 ) )
| ( vEBT_is_succ_in_set @ ( vEBT_VEBT_set_vebt @ summary ) @ X30931 @ X30932 ) )
& ( ~ ( vEBT_is_succ_in_set @ ( vEBT_VEBT_set_vebt @ summary ) @ X30931 @ X30932 )
| ( ( vEBT_vebt_succ @ summary @ X30931 )
= ( some_nat @ X30932 ) ) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0__C4_Ohyps_C_I3_J])]) ).
thf(c_0_11,plain,
( ( vEBT_vebt_succ @ summary @ ( vEBT_VEBT_high @ xa @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
= ( some_nat @ sc ) ),
inference(split_conjunct,[status(thm)],[fact_1__092_060open_062vebt__succ_Asummary_A_Ihigh_Ax_A_Ideg_Adiv_A2_J_J_A_061_ASome_Asc_092_060close_062]) ).
thf(c_0_12,negated_conjecture,
~ ( vEBT_is_succ_in_set @ ( vEBT_VEBT_set_vebt @ summary ) @ ( vEBT_VEBT_high @ xa @ na ) @ sc ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_7]),c_0_9]) ).
thf(c_0_13,plain,
! [X1: nat,X2: nat] :
( ( vEBT_is_succ_in_set @ ( vEBT_VEBT_set_vebt @ summary ) @ X1 @ X2 )
| ( ( vEBT_vebt_succ @ summary @ X1 )
!= ( some_nat @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_14,plain,
( ( vEBT_vebt_succ @ summary @ ( vEBT_VEBT_high @ xa @ na ) )
= ( some_nat @ sc ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_7]),c_0_9]) ).
thf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : ITP243^1 : TPTP v8.2.0. Released v8.1.0.
% 0.13/0.16 % Command : run_E %s %d THM
% 0.16/0.37 % Computer : n005.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sat May 18 15:17:53 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.23/0.53 Running higher-order theorem proving
% 0.23/0.53 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
% 52.72/14.37 # Version: 3.1.0-ho
% 52.72/14.37 # partial match(1): HMLMSMSMSSLCHFA
% 52.72/14.37 # Preprocessing class: HMLMSMLMSSLCHFA.
% 52.72/14.37 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 52.72/14.37 # Starting new_ho_10 with 1500s (5) cores
% 52.72/14.37 # Starting sh5l with 300s (1) cores
% 52.72/14.37 # Starting new_bool_1 with 300s (1) cores
% 52.72/14.37 # Starting new_bool_2 with 300s (1) cores
% 52.72/14.37 # new_bool_2 with pid 11987 completed with status 0
% 52.72/14.37 # Result found by new_bool_2
% 52.72/14.37 # partial match(1): HMLMSMSMSSLCHFA
% 52.72/14.37 # Preprocessing class: HMLMSMLMSSLCHFA.
% 52.72/14.37 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 52.72/14.37 # Starting new_ho_10 with 1500s (5) cores
% 52.72/14.37 # Starting sh5l with 300s (1) cores
% 52.72/14.37 # Starting new_bool_1 with 300s (1) cores
% 52.72/14.37 # Starting new_bool_2 with 300s (1) cores
% 52.72/14.37 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 52.72/14.37 # Search class: HGHSM-SMLM32-DHFFFSBN
% 52.72/14.37 # Scheduled 5 strats onto 1 cores with 298 seconds (298 total)
% 52.72/14.37 # Starting new_ho_10 with 179s (1) cores
% 52.72/14.37 # new_ho_10 with pid 11989 completed with status 0
% 52.72/14.37 # Result found by new_ho_10
% 52.72/14.37 # partial match(1): HMLMSMSMSSLCHFA
% 52.72/14.37 # Preprocessing class: HMLMSMLMSSLCHFA.
% 52.72/14.37 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 52.72/14.37 # Starting new_ho_10 with 1500s (5) cores
% 52.72/14.37 # Starting sh5l with 300s (1) cores
% 52.72/14.37 # Starting new_bool_1 with 300s (1) cores
% 52.72/14.37 # Starting new_bool_2 with 300s (1) cores
% 52.72/14.37 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 52.72/14.37 # Search class: HGHSM-SMLM32-DHFFFSBN
% 52.72/14.37 # Scheduled 5 strats onto 1 cores with 298 seconds (298 total)
% 52.72/14.37 # Starting new_ho_10 with 179s (1) cores
% 52.72/14.37 # Preprocessing time : 0.196 s
% 52.72/14.37 # Presaturation interreduction done
% 52.72/14.37
% 52.72/14.37 # Proof found!
% 52.72/14.37 # SZS status Theorem
% 52.72/14.37 # SZS output start CNFRefutation
% See solution above
% 52.72/14.37 # Parsed axioms : 11271
% 52.72/14.37 # Removed by relevancy pruning/SinE : 6753
% 52.72/14.37 # Initial clauses : 11113
% 52.72/14.37 # Removed in clause preprocessing : 2112
% 52.72/14.37 # Initial clauses in saturation : 9001
% 52.72/14.37 # Processed clauses : 10877
% 52.72/14.37 # ...of these trivial : 388
% 52.72/14.37 # ...subsumed : 2358
% 52.72/14.37 # ...remaining for further processing : 8131
% 52.72/14.37 # Other redundant clauses eliminated : 1921
% 52.72/14.37 # Clauses deleted for lack of memory : 0
% 52.72/14.37 # Backward-subsumed : 63
% 52.72/14.37 # Backward-rewritten : 124
% 52.72/14.37 # Generated clauses : 2093
% 52.72/14.37 # ...of the previous two non-redundant : 1572
% 52.72/14.37 # ...aggressively subsumed : 0
% 52.72/14.37 # Contextual simplify-reflections : 116
% 52.72/14.37 # Paramodulations : 493
% 52.72/14.37 # Factorizations : 0
% 52.72/14.37 # NegExts : 0
% 52.72/14.37 # Equation resolutions : 1936
% 52.72/14.37 # Disequality decompositions : 0
% 52.72/14.37 # Total rewrite steps : 8651
% 52.72/14.37 # ...of those cached : 7731
% 52.72/14.37 # Propositional unsat checks : 0
% 52.72/14.37 # Propositional check models : 0
% 52.72/14.37 # Propositional check unsatisfiable : 0
% 52.72/14.37 # Propositional clauses : 0
% 52.72/14.37 # Propositional clauses after purity: 0
% 52.72/14.37 # Propositional unsat core size : 0
% 52.72/14.37 # Propositional preprocessing time : 0.000
% 52.72/14.37 # Propositional encoding time : 0.000
% 52.72/14.37 # Propositional solver time : 0.000
% 52.72/14.37 # Success case prop preproc time : 0.000
% 52.72/14.37 # Success case prop encoding time : 0.000
% 52.72/14.37 # Success case prop solver time : 0.000
% 52.72/14.37 # Current number of processed clauses : 549
% 52.72/14.37 # Positive orientable unit clauses : 241
% 52.72/14.37 # Positive unorientable unit clauses: 0
% 52.72/14.37 # Negative unit clauses : 182
% 52.72/14.37 # Non-unit-clauses : 126
% 52.72/14.37 # Current number of unprocessed clauses: 5552
% 52.72/14.37 # ...number of literals in the above : 20180
% 52.72/14.37 # Current number of archived formulas : 0
% 52.72/14.37 # Current number of archived clauses : 6054
% 52.72/14.37 # Clause-clause subsumption calls (NU) : 21148340
% 52.72/14.37 # Rec. Clause-clause subsumption calls : 1824459
% 52.72/14.37 # Non-unit clause-clause subsumptions : 2152
% 52.72/14.37 # Unit Clause-clause subsumption calls : 26732
% 52.72/14.37 # Rewrite failures with RHS unbound : 0
% 52.72/14.37 # BW rewrite match attempts : 1139
% 52.72/14.37 # BW rewrite match successes : 300
% 52.72/14.37 # Condensation attempts : 10877
% 52.72/14.37 # Condensation successes : 48
% 52.72/14.37 # Termbank termtop insertions : 3021814
% 52.72/14.37 # Search garbage collected termcells : 203422
% 52.72/14.37
% 52.72/14.37 # -------------------------------------------------
% 52.72/14.37 # User time : 12.693 s
% 52.72/14.37 # System time : 0.131 s
% 52.72/14.37 # Total time : 12.824 s
% 52.72/14.37 # Maximum resident set size: 51104 pages
% 52.72/14.37
% 52.72/14.37 # -------------------------------------------------
% 52.72/14.37 # User time : 13.566 s
% 52.72/14.37 # System time : 0.157 s
% 52.72/14.37 # Total time : 13.724 s
% 52.72/14.37 # Maximum resident set size: 27292 pages
% 52.72/14.37 % E---3.1 exiting
% 52.72/14.37 % E exiting
%------------------------------------------------------------------------------