TSTP Solution File: ITP232^3 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP232^3 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 22:17:15 EDT 2024
% Result : Theorem 90.64s 24.21s
% Output : CNFRefutation 90.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of formulae : 23 ( 8 unt; 11 typ; 0 def)
% Number of atoms : 16 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 65 ( 8 ~; 2 |; 0 &; 53 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 0 ^ 6 !; 4 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_sort2,type,
vEBT_VEBT: $tType ).
thf(decl_sort3,type,
list_VEBT_VEBT: $tType ).
thf(decl_417,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(decl_835,type,
vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).
thf(decl_836,type,
vEBT_VEBT_high: nat > nat > nat ).
thf(decl_852,type,
vEBT_VEBT_minNull: vEBT_VEBT > $o ).
thf(decl_886,type,
mi: nat ).
thf(decl_887,type,
na: nat ).
thf(decl_889,type,
treeList: list_VEBT_VEBT ).
thf(decl_1127,type,
esk221_1: vEBT_VEBT > nat ).
thf(conj_0,conjecture,
? [X261: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ X261 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(fact_0_not__min__Null__member,axiom,
! [X1: vEBT_VEBT] :
( ~ ( vEBT_VEBT_minNull @ X1 )
=> ? [X2: nat] : ( vEBT_V8194947554948674370ptions @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_not__min__Null__member) ).
thf(fact_1_False,axiom,
~ ( vEBT_VEBT_minNull @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_False) ).
thf(c_0_3,negated_conjecture,
~ ? [X261: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ X261 ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_4,plain,
! [X1: vEBT_VEBT] :
( ~ ( vEBT_VEBT_minNull @ X1 )
=> ? [X2: nat] : ( vEBT_V8194947554948674370ptions @ X1 @ X2 ) ),
inference(fof_simplification,[status(thm)],[fact_0_not__min__Null__member]) ).
thf(c_0_5,negated_conjecture,
! [X22942: nat] :
~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ X22942 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).
thf(c_0_6,plain,
! [X25015: vEBT_VEBT] :
( ( vEBT_VEBT_minNull @ X25015 )
| ( vEBT_V8194947554948674370ptions @ X25015 @ ( esk221_1 @ X25015 ) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
thf(c_0_7,plain,
~ ( vEBT_VEBT_minNull @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) ),
inference(fof_simplification,[status(thm)],[fact_1_False]) ).
thf(c_0_8,negated_conjecture,
! [X2: nat] :
~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ X2 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
! [X1: vEBT_VEBT] :
( ( vEBT_VEBT_minNull @ X1 )
| ( vEBT_V8194947554948674370ptions @ X1 @ ( esk221_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
~ ( vEBT_VEBT_minNull @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : ITP232^3 : TPTP v8.2.0. Released v8.1.0.
% 0.13/0.16 % Command : run_E %s %d THM
% 0.16/0.38 % Computer : n007.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sat May 18 16:08:38 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.23/0.54 Running higher-order theorem proving
% 0.23/0.54 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
% 90.64/24.21 # Version: 3.1.0-ho
% 90.64/24.21 # partial match(1): HMLMSMSMSSLCHFA
% 90.64/24.21 # Preprocessing class: HMLMSMLMSSLCHFA.
% 90.64/24.21 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 90.64/24.21 # Starting new_ho_10 with 1495s (5) cores
% 90.64/24.21 # Starting sh5l with 299s (1) cores
% 90.64/24.21 # Starting new_bool_1 with 299s (1) cores
% 90.64/24.21 # Starting new_bool_2 with 299s (1) cores
% 90.64/24.21 # new_bool_2 with pid 30694 completed with status 0
% 90.64/24.21 # Result found by new_bool_2
% 90.64/24.21 # partial match(1): HMLMSMSMSSLCHFA
% 90.64/24.21 # Preprocessing class: HMLMSMLMSSLCHFA.
% 90.64/24.21 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 90.64/24.21 # Starting new_ho_10 with 1495s (5) cores
% 90.64/24.21 # Starting sh5l with 299s (1) cores
% 90.64/24.21 # Starting new_bool_1 with 299s (1) cores
% 90.64/24.21 # Starting new_bool_2 with 299s (1) cores
% 90.64/24.21 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 90.64/24.21 # Search class: HGHSM-SMLM32-DHFFFSBN
% 90.64/24.21 # Scheduled 5 strats onto 1 cores with 298 seconds (298 total)
% 90.64/24.21 # Starting new_ho_10 with 179s (1) cores
% 90.64/24.21 # new_ho_10 with pid 30695 completed with status 0
% 90.64/24.21 # Result found by new_ho_10
% 90.64/24.21 # partial match(1): HMLMSMSMSSLCHFA
% 90.64/24.21 # Preprocessing class: HMLMSMLMSSLCHFA.
% 90.64/24.21 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 90.64/24.21 # Starting new_ho_10 with 1495s (5) cores
% 90.64/24.21 # Starting sh5l with 299s (1) cores
% 90.64/24.21 # Starting new_bool_1 with 299s (1) cores
% 90.64/24.21 # Starting new_bool_2 with 299s (1) cores
% 90.64/24.21 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 90.64/24.21 # Search class: HGHSM-SMLM32-DHFFFSBN
% 90.64/24.21 # Scheduled 5 strats onto 1 cores with 298 seconds (298 total)
% 90.64/24.21 # Starting new_ho_10 with 179s (1) cores
% 90.64/24.21 # Preprocessing time : 0.157 s
% 90.64/24.21 # Presaturation interreduction done
% 90.64/24.21
% 90.64/24.21 # Proof found!
% 90.64/24.21 # SZS status Theorem
% 90.64/24.21 # SZS output start CNFRefutation
% See solution above
% 90.64/24.21 # Parsed axioms : 10550
% 90.64/24.21 # Removed by relevancy pruning/SinE : 8377
% 90.64/24.21 # Initial clauses : 6516
% 90.64/24.21 # Removed in clause preprocessing : 1832
% 90.64/24.21 # Initial clauses in saturation : 4684
% 90.64/24.21 # Processed clauses : 5658
% 90.64/24.21 # ...of these trivial : 156
% 90.64/24.21 # ...subsumed : 1227
% 90.64/24.21 # ...remaining for further processing : 4275
% 90.64/24.21 # Other redundant clauses eliminated : 1052
% 90.64/24.21 # Clauses deleted for lack of memory : 0
% 90.64/24.21 # Backward-subsumed : 20
% 90.64/24.21 # Backward-rewritten : 20
% 90.64/24.21 # Generated clauses : 1106
% 90.64/24.21 # ...of the previous two non-redundant : 887
% 90.64/24.21 # ...aggressively subsumed : 0
% 90.64/24.21 # Contextual simplify-reflections : 91
% 90.64/24.21 # Paramodulations : 360
% 90.64/24.21 # Factorizations : 0
% 90.64/24.21 # NegExts : 0
% 90.64/24.21 # Equation resolutions : 1059
% 90.64/24.21 # Disequality decompositions : 0
% 90.64/24.21 # Total rewrite steps : 3524
% 90.64/24.21 # ...of those cached : 3282
% 90.64/24.21 # Propositional unsat checks : 0
% 90.64/24.21 # Propositional check models : 0
% 90.64/24.21 # Propositional check unsatisfiable : 0
% 90.64/24.21 # Propositional clauses : 0
% 90.64/24.21 # Propositional clauses after purity: 0
% 90.64/24.21 # Propositional unsat core size : 0
% 90.64/24.21 # Propositional preprocessing time : 0.000
% 90.64/24.21 # Propositional encoding time : 0.000
% 90.64/24.21 # Propositional solver time : 0.000
% 90.64/24.21 # Success case prop preproc time : 0.000
% 90.64/24.21 # Success case prop encoding time : 0.000
% 90.64/24.21 # Success case prop solver time : 0.000
% 90.64/24.21 # Current number of processed clauses : 322
% 90.64/24.21 # Positive orientable unit clauses : 130
% 90.64/24.21 # Positive unorientable unit clauses: 0
% 90.64/24.21 # Negative unit clauses : 109
% 90.64/24.21 # Non-unit-clauses : 83
% 90.64/24.21 # Current number of unprocessed clauses: 3118
% 90.64/24.21 # ...number of literals in the above : 12905
% 90.64/24.21 # Current number of archived formulas : 0
% 90.64/24.21 # Current number of archived clauses : 3245
% 90.64/24.21 # Clause-clause subsumption calls (NU) : 10135883
% 90.64/24.21 # Rec. Clause-clause subsumption calls : 505078
% 90.64/24.21 # Non-unit clause-clause subsumptions : 1152
% 90.64/24.21 # Unit Clause-clause subsumption calls : 10773
% 90.64/24.21 # Rewrite failures with RHS unbound : 0
% 90.64/24.21 # BW rewrite match attempts : 332
% 90.64/24.21 # BW rewrite match successes : 79
% 90.64/24.21 # Condensation attempts : 5658
% 90.64/24.21 # Condensation successes : 36
% 90.64/24.21 # Termbank termtop insertions : 2572909
% 90.64/24.21 # Search garbage collected termcells : 159781
% 90.64/24.21
% 90.64/24.21 # -------------------------------------------------
% 90.64/24.21 # User time : 22.061 s
% 90.64/24.21 # System time : 0.152 s
% 90.64/24.21 # Total time : 22.213 s
% 90.64/24.21 # Maximum resident set size: 36812 pages
% 90.64/24.21
% 90.64/24.21 # -------------------------------------------------
% 90.64/24.21 # User time : 23.367 s
% 90.64/24.21 # System time : 0.197 s
% 90.64/24.21 # Total time : 23.564 s
% 90.64/24.21 # Maximum resident set size: 25520 pages
% 90.64/24.21 % E---3.1 exiting
% 90.64/24.21 % E exiting
%------------------------------------------------------------------------------