TSTP Solution File: ITP256^1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP256^1 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n020.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 22:17:36 EDT 2024
% Result : Theorem 82.26s 22.14s
% Output : CNFRefutation 82.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 20
% Syntax : Number of formulae : 29 ( 6 unt; 16 typ; 0 def)
% Number of atoms : 33 ( 3 equ; 0 cnn)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 140 ( 15 ~; 12 |; 5 &; 105 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 0 ^ 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_sort2,type,
vEBT_VEBT: $tType ).
thf(decl_sort3,type,
set_VEBT_VEBT: $tType ).
thf(decl_sort4,type,
list_VEBT_VEBT: $tType ).
thf(decl_511,type,
set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).
thf(decl_557,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(decl_648,type,
size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).
thf(decl_746,type,
ord_less_nat: nat > nat > $o ).
thf(decl_1117,type,
vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).
thf(decl_1118,type,
vEBT_VEBT_high: nat > nat > nat ).
thf(decl_1127,type,
vEBT_invar_vebt: vEBT_VEBT > nat > $o ).
thf(decl_1131,type,
vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT ).
thf(decl_1221,type,
member_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > $o ).
thf(decl_1227,type,
na: nat ).
thf(decl_1229,type,
treeList: list_VEBT_VEBT ).
thf(decl_1230,type,
xa: nat ).
thf(fact_23__C4_OIH_C_I1_J,axiom,
! [X11: vEBT_VEBT] :
( ( member_VEBT_VEBT @ X11 @ ( set_VEBT_VEBT2 @ treeList ) )
=> ( ( vEBT_invar_vebt @ X11 @ na )
& ! [X13: nat,X14: nat] :
( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X11 @ X13 ) @ X14 )
<=> ( ( X13 != X14 )
& ( vEBT_V8194947554948674370ptions @ X11 @ X14 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23__C4_OIH_C_I1_J) ).
thf(fact_137_nth__mem,axiom,
! [X7: nat,X19: list_VEBT_VEBT] :
( ( ord_less_nat @ X7 @ ( size_s6755466524823107622T_VEBT @ X19 ) )
=> ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ X19 @ X7 ) @ ( set_VEBT_VEBT2 @ X19 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_137_nth__mem) ).
thf(conj_0,conjecture,
vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(fact_8__092_060open_062high_Ax_An_A_060_Alength_AtreeList_092_060close_062,axiom,
ord_less_nat @ ( vEBT_VEBT_high @ xa @ na ) @ ( size_s6755466524823107622T_VEBT @ treeList ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8__092_060open_062high_Ax_An_A_060_Alength_AtreeList_092_060close_062) ).
thf(c_0_4,plain,
! [X23239: vEBT_VEBT,X23240: nat,X23241: nat] :
( ( ( vEBT_invar_vebt @ X23239 @ na )
| ~ ( member_VEBT_VEBT @ X23239 @ ( set_VEBT_VEBT2 @ treeList ) ) )
& ( ( X23240 != X23241 )
| ~ ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X23239 @ X23240 ) @ X23241 )
| ~ ( member_VEBT_VEBT @ X23239 @ ( set_VEBT_VEBT2 @ treeList ) ) )
& ( ( vEBT_V8194947554948674370ptions @ X23239 @ X23241 )
| ~ ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X23239 @ X23240 ) @ X23241 )
| ~ ( member_VEBT_VEBT @ X23239 @ ( set_VEBT_VEBT2 @ treeList ) ) )
& ( ( X23240 = X23241 )
| ~ ( vEBT_V8194947554948674370ptions @ X23239 @ X23241 )
| ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X23239 @ X23240 ) @ X23241 )
| ~ ( member_VEBT_VEBT @ X23239 @ ( set_VEBT_VEBT2 @ treeList ) ) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_23__C4_OIH_C_I1_J])])])]) ).
thf(c_0_5,plain,
! [X24193: nat,X24194: list_VEBT_VEBT] :
( ~ ( ord_less_nat @ X24193 @ ( size_s6755466524823107622T_VEBT @ X24194 ) )
| ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ X24194 @ X24193 ) @ ( set_VEBT_VEBT2 @ X24194 ) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_137_nth__mem])]) ).
thf(c_0_6,negated_conjecture,
~ ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
thf(c_0_7,plain,
! [X1: vEBT_VEBT] :
( ( vEBT_invar_vebt @ X1 @ na )
| ~ ( member_VEBT_VEBT @ X1 @ ( set_VEBT_VEBT2 @ treeList ) ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_8,plain,
! [X2: nat,X5: list_VEBT_VEBT] :
( ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ X5 @ X2 ) @ ( set_VEBT_VEBT2 @ X5 ) )
| ~ ( ord_less_nat @ X2 @ ( size_s6755466524823107622T_VEBT @ X5 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,negated_conjecture,
~ ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
! [X2: nat] :
( ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ X2 ) @ na )
| ~ ( ord_less_nat @ X2 @ ( size_s6755466524823107622T_VEBT @ treeList ) ) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_11,plain,
ord_less_nat @ ( vEBT_VEBT_high @ xa @ na ) @ ( size_s6755466524823107622T_VEBT @ treeList ),
inference(split_conjunct,[status(thm)],[fact_8__092_060open_062high_Ax_An_A_060_Alength_AtreeList_092_060close_062]) ).
thf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15 % Problem : ITP256^1 : TPTP v8.2.0. Released v8.1.0.
% 0.09/0.17 % Command : run_E %s %d THM
% 0.15/0.38 % Computer : n020.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Sat May 18 16:27:53 EDT 2024
% 0.15/0.38 % CPUTime :
% 0.22/0.53 Running higher-order theorem proving
% 0.22/0.53 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
% 82.26/22.14 # Version: 3.1.0-ho
% 82.26/22.14 # partial match(2): HMLMSMSMSSLCHFA
% 82.26/22.14 # Preprocessing class: HMLLSMLMSSLCHFA.
% 82.26/22.14 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 82.26/22.14 # Starting new_ho_10 with 1495s (5) cores
% 82.26/22.14 # Starting sh5l with 299s (1) cores
% 82.26/22.14 # Starting new_bool_1 with 299s (1) cores
% 82.26/22.14 # Starting new_bool_2 with 299s (1) cores
% 82.26/22.14 # new_bool_2 with pid 6489 completed with status 0
% 82.26/22.14 # Result found by new_bool_2
% 82.26/22.14 # partial match(2): HMLMSMSMSSLCHFA
% 82.26/22.14 # Preprocessing class: HMLLSMLMSSLCHFA.
% 82.26/22.14 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 82.26/22.14 # Starting new_ho_10 with 1495s (5) cores
% 82.26/22.14 # Starting sh5l with 299s (1) cores
% 82.26/22.14 # Starting new_bool_1 with 299s (1) cores
% 82.26/22.14 # Starting new_bool_2 with 299s (1) cores
% 82.26/22.14 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 82.26/22.14 # Search class: HGHSM-SMLM32-DHFFFSBN
% 82.26/22.14 # Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 82.26/22.14 # Starting new_ho_10 with 180s (1) cores
% 82.26/22.14 # new_ho_10 with pid 6490 completed with status 0
% 82.26/22.14 # Result found by new_ho_10
% 82.26/22.14 # partial match(2): HMLMSMSMSSLCHFA
% 82.26/22.14 # Preprocessing class: HMLLSMLMSSLCHFA.
% 82.26/22.14 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 82.26/22.14 # Starting new_ho_10 with 1495s (5) cores
% 82.26/22.14 # Starting sh5l with 299s (1) cores
% 82.26/22.14 # Starting new_bool_1 with 299s (1) cores
% 82.26/22.14 # Starting new_bool_2 with 299s (1) cores
% 82.26/22.14 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 82.26/22.14 # Search class: HGHSM-SMLM32-DHFFFSBN
% 82.26/22.14 # Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 82.26/22.14 # Starting new_ho_10 with 180s (1) cores
% 82.26/22.14 # Preprocessing time : 0.148 s
% 82.26/22.14 # Presaturation interreduction done
% 82.26/22.14
% 82.26/22.14 # Proof found!
% 82.26/22.14 # SZS status Theorem
% 82.26/22.14 # SZS output start CNFRefutation
% See solution above
% 82.26/22.14 # Parsed axioms : 10756
% 82.26/22.14 # Removed by relevancy pruning/SinE : 9096
% 82.26/22.14 # Initial clauses : 5831
% 82.26/22.14 # Removed in clause preprocessing : 1840
% 82.26/22.14 # Initial clauses in saturation : 3991
% 82.26/22.14 # Processed clauses : 10192
% 82.26/22.14 # ...of these trivial : 195
% 82.26/22.14 # ...subsumed : 2613
% 82.26/22.14 # ...remaining for further processing : 7384
% 82.26/22.14 # Other redundant clauses eliminated : 4434
% 82.26/22.14 # Clauses deleted for lack of memory : 0
% 82.26/22.14 # Backward-subsumed : 45
% 82.26/22.14 # Backward-rewritten : 67
% 82.26/22.14 # Generated clauses : 84817
% 82.26/22.14 # ...of the previous two non-redundant : 76075
% 82.26/22.14 # ...aggressively subsumed : 0
% 82.26/22.14 # Contextual simplify-reflections : 77
% 82.26/22.14 # Paramodulations : 79199
% 82.26/22.14 # Factorizations : 22
% 82.26/22.14 # NegExts : 0
% 82.26/22.14 # Equation resolutions : 4468
% 82.26/22.14 # Disequality decompositions : 0
% 82.26/22.14 # Total rewrite steps : 35321
% 82.26/22.14 # ...of those cached : 32504
% 82.26/22.14 # Propositional unsat checks : 0
% 82.26/22.14 # Propositional check models : 0
% 82.26/22.14 # Propositional check unsatisfiable : 0
% 82.26/22.14 # Propositional clauses : 0
% 82.26/22.14 # Propositional clauses after purity: 0
% 82.26/22.14 # Propositional unsat core size : 0
% 82.26/22.14 # Propositional preprocessing time : 0.000
% 82.26/22.14 # Propositional encoding time : 0.000
% 82.26/22.14 # Propositional solver time : 0.000
% 82.26/22.14 # Success case prop preproc time : 0.000
% 82.26/22.14 # Success case prop encoding time : 0.000
% 82.26/22.14 # Success case prop solver time : 0.000
% 82.26/22.14 # Current number of processed clauses : 3734
% 82.26/22.14 # Positive orientable unit clauses : 432
% 82.26/22.14 # Positive unorientable unit clauses: 6
% 82.26/22.14 # Negative unit clauses : 351
% 82.26/22.14 # Non-unit-clauses : 2945
% 82.26/22.14 # Current number of unprocessed clauses: 72381
% 82.26/22.14 # ...number of literals in the above : 388890
% 82.26/22.14 # Current number of archived formulas : 0
% 82.26/22.14 # Current number of archived clauses : 2930
% 82.26/22.14 # Clause-clause subsumption calls (NU) : 13308090
% 82.26/22.14 # Rec. Clause-clause subsumption calls : 796478
% 82.26/22.14 # Non-unit clause-clause subsumptions : 1513
% 82.26/22.14 # Unit Clause-clause subsumption calls : 423990
% 82.26/22.14 # Rewrite failures with RHS unbound : 0
% 82.26/22.14 # BW rewrite match attempts : 374
% 82.26/22.14 # BW rewrite match successes : 113
% 82.26/22.14 # Condensation attempts : 10192
% 82.26/22.14 # Condensation successes : 77
% 82.26/22.14 # Termbank termtop insertions : 5015123
% 82.26/22.14 # Search garbage collected termcells : 161359
% 82.26/22.14
% 82.26/22.14 # -------------------------------------------------
% 82.26/22.14 # User time : 19.945 s
% 82.26/22.14 # System time : 0.190 s
% 82.26/22.14 # Total time : 20.135 s
% 82.26/22.14 # Maximum resident set size: 37216 pages
% 82.26/22.14
% 82.26/22.14 # -------------------------------------------------
% 82.26/22.14 # User time : 21.251 s
% 82.26/22.14 # System time : 0.221 s
% 82.26/22.14 # Total time : 21.472 s
% 82.26/22.14 # Maximum resident set size: 26776 pages
% 82.26/22.14 % E---3.1 exiting
% 82.26/22.14 % E exiting
%------------------------------------------------------------------------------