TSTP Solution File: ITP213^1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP213^1 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 22:16:56 EDT 2024
% Result : Theorem 18.10s 5.68s
% Output : CNFRefutation 18.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 29
% Syntax : Number of formulae : 51 ( 27 unt; 20 typ; 0 def)
% Number of atoms : 42 ( 21 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 229 ( 11 ~; 8 |; 0 &; 207 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 9 con; 0-3 aty)
% Number of variables : 42 ( 18 ^ 24 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
produc3658429121746597890et_nat: $tType ).
thf(decl_sort2,type,
assn: $tType ).
thf(decl_sort3,type,
set_nat: $tType ).
thf(decl_sort4,type,
heap_e7401611519738050253t_unit: $tType ).
thf(decl_sort5,type,
a: $tType ).
thf(decl_27,type,
rep_assn: assn > produc3658429121746597890et_nat > $o ).
thf(decl_293,type,
times_times_assn: assn > assn > assn ).
thf(decl_453,type,
hoare_new_addrs: heap_e7401611519738050253t_unit > set_nat > heap_e7401611519738050253t_unit > set_nat ).
thf(decl_520,type,
inf_inf_set_nat: set_nat > set_nat > set_nat ).
thf(decl_575,type,
sup_sup_set_nat: set_nat > set_nat > set_nat ).
thf(decl_851,type,
bot_bot_set_nat: set_nat ).
thf(decl_996,type,
produc7507926704131184380et_nat: heap_e7401611519738050253t_unit > set_nat > produc3658429121746597890et_nat ).
thf(decl_1332,type,
q: a > assn ).
thf(decl_1333,type,
r: assn ).
thf(decl_1334,type,
as1: set_nat ).
thf(decl_1335,type,
as2: set_nat ).
thf(decl_1336,type,
as: set_nat ).
thf(decl_1338,type,
h: heap_e7401611519738050253t_unit ).
thf(decl_1339,type,
h2: heap_e7401611519738050253t_unit ).
thf(decl_1340,type,
r2: a ).
thf(fact_458_sup__commute,axiom,
( sup_sup_set_nat
= ( ^ [X909: set_nat,X787: set_nat] : ( sup_sup_set_nat @ X787 @ X909 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_458_sup__commute) ).
thf(fact_405_inf__commute,axiom,
( inf_inf_set_nat
= ( ^ [X786: set_nat,X787: set_nat] : ( inf_inf_set_nat @ X787 @ X786 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_405_inf__commute) ).
thf(fact_90_assn__times__comm,axiom,
( times_times_assn
= ( ^ [X221: assn,X222: assn] : ( times_times_assn @ X222 @ X221 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_assn__times__comm) ).
thf(conj_0,conjecture,
rep_assn @ ( times_times_assn @ ( q @ r2 ) @ r ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h2 @ as @ h ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(fact_36_star__assnI,axiom,
! [X7: assn,X1: heap_e7401611519738050253t_unit,X2: set_nat,X8: assn,X56: set_nat] :
( ( rep_assn @ X7 @ ( produc7507926704131184380et_nat @ X1 @ X2 ) )
=> ( ( rep_assn @ X8 @ ( produc7507926704131184380et_nat @ X1 @ X56 ) )
=> ( ( ( inf_inf_set_nat @ X2 @ X56 )
= bot_bot_set_nat )
=> ( rep_assn @ ( times_times_assn @ X7 @ X8 ) @ ( produc7507926704131184380et_nat @ X1 @ ( sup_sup_set_nat @ X2 @ X56 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_star__assnI) ).
thf(fact_4__092_060open_062new__addrs_Ah_Aas_Ah_H_A_061_Anew__addrs_Ah_Aas1_Ah_H_A_092_060union_062_Aas2_092_060close_062,axiom,
( ( hoare_new_addrs @ h2 @ as @ h )
= ( sup_sup_set_nat @ ( hoare_new_addrs @ h2 @ as1 @ h ) @ as2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4__092_060open_062new__addrs_Ah_Aas_Ah_H_A_061_Anew__addrs_Ah_Aas1_Ah_H_A_092_060union_062_Aas2_092_060close_062) ).
thf(fact_3_DJN,axiom,
( ( inf_inf_set_nat @ ( hoare_new_addrs @ h2 @ as1 @ h ) @ as2 )
= bot_bot_set_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_DJN) ).
thf(fact_7_MDL,axiom,
rep_assn @ ( q @ r2 ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h2 @ as1 @ h ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_MDL) ).
thf(fact_1__092_060open_062_Ih_H_M_Aas2_J_A_092_060Turnstile_062_AR_092_060close_062,axiom,
rep_assn @ r @ ( produc7507926704131184380et_nat @ h @ as2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062_Ih_H_M_Aas2_J_A_092_060Turnstile_062_AR_092_060close_062) ).
thf(c_0_9,plain,
( sup_sup_set_nat
= ( ^ [Z0: set_nat,Z1: set_nat] : ( sup_sup_set_nat @ Z1 @ Z0 ) ) ),
inference(fof_simplification,[status(thm)],[fact_458_sup__commute]) ).
thf(c_0_10,plain,
( inf_inf_set_nat
= ( ^ [Z0: set_nat,Z1: set_nat] : ( inf_inf_set_nat @ Z1 @ Z0 ) ) ),
inference(fof_simplification,[status(thm)],[fact_405_inf__commute]) ).
thf(c_0_11,plain,
( times_times_assn
= ( ^ [Z0: assn,Z1: assn] : ( times_times_assn @ Z1 @ Z0 ) ) ),
inference(fof_simplification,[status(thm)],[fact_90_assn__times__comm]) ).
thf(c_0_12,plain,
( sup_sup_set_nat
= ( ^ [Z0: set_nat,Z1: set_nat] : ( sup_sup_set_nat @ Z1 @ Z0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_13,plain,
( inf_inf_set_nat
= ( ^ [Z0: set_nat,Z1: set_nat] : ( inf_inf_set_nat @ Z1 @ Z0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_14,negated_conjecture,
~ ( rep_assn @ ( times_times_assn @ ( q @ r2 ) @ r ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h2 @ as @ h ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
thf(c_0_15,plain,
( times_times_assn
= ( ^ [Z0: assn,Z1: assn] : ( times_times_assn @ Z1 @ Z0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_16,plain,
! [X28301: assn,X28302: heap_e7401611519738050253t_unit,X28303: set_nat,X28304: assn,X28305: set_nat] :
( ~ ( rep_assn @ X28301 @ ( produc7507926704131184380et_nat @ X28302 @ X28303 ) )
| ~ ( rep_assn @ X28304 @ ( produc7507926704131184380et_nat @ X28302 @ X28305 ) )
| ( ( inf_inf_set_nat @ X28303 @ X28305 )
!= bot_bot_set_nat )
| ( rep_assn @ ( times_times_assn @ X28301 @ X28304 ) @ ( produc7507926704131184380et_nat @ X28302 @ ( sup_sup_set_nat @ X28303 @ X28305 ) ) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_36_star__assnI])]) ).
thf(c_0_17,plain,
( ( hoare_new_addrs @ h2 @ as @ h )
= ( sup_sup_set_nat @ ( hoare_new_addrs @ h2 @ as1 @ h ) @ as2 ) ),
inference(split_conjunct,[status(thm)],[fact_4__092_060open_062new__addrs_Ah_Aas_Ah_H_A_061_Anew__addrs_Ah_Aas1_Ah_H_A_092_060union_062_Aas2_092_060close_062]) ).
thf(c_0_18,plain,
! [X3: set_nat,X2: set_nat] :
( ( sup_sup_set_nat @ X2 @ X3 )
= ( sup_sup_set_nat @ X3 @ X2 ) ),
inference(arg_cong,[status(thm)],[c_0_12]) ).
thf(c_0_19,plain,
( ( inf_inf_set_nat @ ( hoare_new_addrs @ h2 @ as1 @ h ) @ as2 )
= bot_bot_set_nat ),
inference(split_conjunct,[status(thm)],[fact_3_DJN]) ).
thf(c_0_20,plain,
! [X3: set_nat,X2: set_nat] :
( ( inf_inf_set_nat @ X2 @ X3 )
= ( inf_inf_set_nat @ X3 @ X2 ) ),
inference(arg_cong,[status(thm)],[c_0_13]) ).
thf(c_0_21,negated_conjecture,
~ ( rep_assn @ ( times_times_assn @ ( q @ r2 ) @ r ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h2 @ as @ h ) ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_22,plain,
! [X6: assn,X5: assn] :
( ( times_times_assn @ X5 @ X6 )
= ( times_times_assn @ X6 @ X5 ) ),
inference(arg_cong,[status(thm)],[c_0_15]) ).
thf(c_0_23,plain,
! [X1: heap_e7401611519738050253t_unit,X2: set_nat,X5: assn,X6: assn,X3: set_nat] :
( ( rep_assn @ ( times_times_assn @ X5 @ X6 ) @ ( produc7507926704131184380et_nat @ X1 @ ( sup_sup_set_nat @ X2 @ X3 ) ) )
| ~ ( rep_assn @ X5 @ ( produc7507926704131184380et_nat @ X1 @ X2 ) )
| ~ ( rep_assn @ X6 @ ( produc7507926704131184380et_nat @ X1 @ X3 ) )
| ( ( inf_inf_set_nat @ X2 @ X3 )
!= bot_bot_set_nat ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_24,plain,
( ( sup_sup_set_nat @ as2 @ ( hoare_new_addrs @ h2 @ as1 @ h ) )
= ( hoare_new_addrs @ h2 @ as @ h ) ),
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
thf(c_0_25,plain,
( ( inf_inf_set_nat @ as2 @ ( hoare_new_addrs @ h2 @ as1 @ h ) )
= bot_bot_set_nat ),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
thf(c_0_26,negated_conjecture,
~ ( rep_assn @ ( times_times_assn @ r @ ( q @ r2 ) ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h2 @ as @ h ) ) ),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
thf(c_0_27,plain,
! [X6: assn,X5: assn,X1: heap_e7401611519738050253t_unit] :
( ( rep_assn @ ( times_times_assn @ X5 @ X6 ) @ ( produc7507926704131184380et_nat @ X1 @ ( hoare_new_addrs @ h2 @ as @ h ) ) )
| ~ ( rep_assn @ X6 @ ( produc7507926704131184380et_nat @ X1 @ ( hoare_new_addrs @ h2 @ as1 @ h ) ) )
| ~ ( rep_assn @ X5 @ ( produc7507926704131184380et_nat @ X1 @ as2 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
thf(c_0_28,plain,
rep_assn @ ( q @ r2 ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h2 @ as1 @ h ) ),
inference(split_conjunct,[status(thm)],[fact_7_MDL]) ).
thf(c_0_29,plain,
rep_assn @ r @ ( produc7507926704131184380et_nat @ h @ as2 ),
inference(split_conjunct,[status(thm)],[fact_1__092_060open_062_Ih_H_M_Aas2_J_A_092_060Turnstile_062_AR_092_060close_062]) ).
thf(c_0_30,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP213^1 : TPTP v8.2.0. Released v8.1.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat May 18 17:21:38 EDT 2024
% 0.14/0.34 % 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
% 18.10/5.68 # Version: 3.1.0-ho
% 18.10/5.68 # partial match(2): HMLMSMSMSSLCHFA
% 18.10/5.68 # Preprocessing class: HMLLSMLMSSLCHFA.
% 18.10/5.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.10/5.68 # Starting new_ho_10 with 1500s (5) cores
% 18.10/5.68 # Starting sh5l with 300s (1) cores
% 18.10/5.68 # Starting new_bool_1 with 300s (1) cores
% 18.10/5.68 # Starting new_bool_2 with 300s (1) cores
% 18.10/5.68 # new_bool_2 with pid 27557 completed with status 0
% 18.10/5.68 # Result found by new_bool_2
% 18.10/5.68 # partial match(2): HMLMSMSMSSLCHFA
% 18.10/5.68 # Preprocessing class: HMLLSMLMSSLCHFA.
% 18.10/5.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.10/5.68 # Starting new_ho_10 with 1500s (5) cores
% 18.10/5.68 # Starting sh5l with 300s (1) cores
% 18.10/5.68 # Starting new_bool_1 with 300s (1) cores
% 18.10/5.68 # Starting new_bool_2 with 300s (1) cores
% 18.10/5.68 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 18.10/5.68 # Search class: HGHSM-SMLM32-DHFFFSBN
% 18.10/5.68 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 18.10/5.68 # Starting new_ho_10 with 181s (1) cores
% 18.10/5.68 # new_ho_10 with pid 27558 completed with status 0
% 18.10/5.68 # Result found by new_ho_10
% 18.10/5.68 # partial match(2): HMLMSMSMSSLCHFA
% 18.10/5.68 # Preprocessing class: HMLLSMLMSSLCHFA.
% 18.10/5.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.10/5.68 # Starting new_ho_10 with 1500s (5) cores
% 18.10/5.68 # Starting sh5l with 300s (1) cores
% 18.10/5.68 # Starting new_bool_1 with 300s (1) cores
% 18.10/5.68 # Starting new_bool_2 with 300s (1) cores
% 18.10/5.68 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 18.10/5.68 # Search class: HGHSM-SMLM32-DHFFFSBN
% 18.10/5.68 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 18.10/5.68 # Starting new_ho_10 with 181s (1) cores
% 18.10/5.68 # Preprocessing time : 0.078 s
% 18.10/5.68 # Presaturation interreduction done
% 18.10/5.68
% 18.10/5.68 # Proof found!
% 18.10/5.68 # SZS status Theorem
% 18.10/5.68 # SZS output start CNFRefutation
% See solution above
% 18.10/5.68 # Parsed axioms : 11206
% 18.10/5.68 # Removed by relevancy pruning/SinE : 9631
% 18.10/5.68 # Initial clauses : 2890
% 18.10/5.68 # Removed in clause preprocessing : 112
% 18.10/5.68 # Initial clauses in saturation : 2778
% 18.10/5.68 # Processed clauses : 12055
% 18.10/5.68 # ...of these trivial : 482
% 18.10/5.68 # ...subsumed : 5192
% 18.10/5.68 # ...remaining for further processing : 6381
% 18.10/5.68 # Other redundant clauses eliminated : 977
% 18.10/5.68 # Clauses deleted for lack of memory : 0
% 18.10/5.68 # Backward-subsumed : 109
% 18.10/5.68 # Backward-rewritten : 92
% 18.10/5.68 # Generated clauses : 137652
% 18.10/5.68 # ...of the previous two non-redundant : 124885
% 18.10/5.68 # ...aggressively subsumed : 0
% 18.10/5.68 # Contextual simplify-reflections : 33
% 18.10/5.68 # Paramodulations : 136184
% 18.10/5.68 # Factorizations : 22
% 18.10/5.68 # NegExts : 1
% 18.10/5.68 # Equation resolutions : 1006
% 18.10/5.68 # Disequality decompositions : 0
% 18.10/5.68 # Total rewrite steps : 25001
% 18.10/5.68 # ...of those cached : 21750
% 18.10/5.68 # Propositional unsat checks : 0
% 18.10/5.68 # Propositional check models : 0
% 18.10/5.68 # Propositional check unsatisfiable : 0
% 18.10/5.68 # Propositional clauses : 0
% 18.10/5.68 # Propositional clauses after purity: 0
% 18.10/5.68 # Propositional unsat core size : 0
% 18.10/5.68 # Propositional preprocessing time : 0.000
% 18.10/5.68 # Propositional encoding time : 0.000
% 18.10/5.68 # Propositional solver time : 0.000
% 18.10/5.68 # Success case prop preproc time : 0.000
% 18.10/5.68 # Success case prop encoding time : 0.000
% 18.10/5.68 # Success case prop solver time : 0.000
% 18.10/5.68 # Current number of processed clauses : 4023
% 18.10/5.68 # Positive orientable unit clauses : 551
% 18.10/5.68 # Positive unorientable unit clauses: 23
% 18.10/5.68 # Negative unit clauses : 189
% 18.10/5.68 # Non-unit-clauses : 3260
% 18.10/5.68 # Current number of unprocessed clauses: 116954
% 18.10/5.68 # ...number of literals in the above : 378015
% 18.10/5.68 # Current number of archived formulas : 0
% 18.10/5.68 # Current number of archived clauses : 2126
% 18.10/5.68 # Clause-clause subsumption calls (NU) : 1890993
% 18.10/5.68 # Rec. Clause-clause subsumption calls : 1100421
% 18.10/5.68 # Non-unit clause-clause subsumptions : 3603
% 18.10/5.68 # Unit Clause-clause subsumption calls : 121618
% 18.10/5.68 # Rewrite failures with RHS unbound : 0
% 18.10/5.68 # BW rewrite match attempts : 1306
% 18.10/5.68 # BW rewrite match successes : 470
% 18.10/5.68 # Condensation attempts : 12056
% 18.10/5.68 # Condensation successes : 110
% 18.10/5.68 # Termbank termtop insertions : 2298146
% 18.10/5.68 # Search garbage collected termcells : 146370
% 18.10/5.68
% 18.10/5.68 # -------------------------------------------------
% 18.10/5.68 # User time : 4.061 s
% 18.10/5.68 # System time : 0.137 s
% 18.10/5.68 # Total time : 4.198 s
% 18.10/5.68 # Maximum resident set size: 39204 pages
% 18.10/5.68
% 18.10/5.68 # -------------------------------------------------
% 18.10/5.68 # User time : 4.984 s
% 18.10/5.68 # System time : 0.165 s
% 18.10/5.68 # Total time : 5.149 s
% 18.10/5.68 # Maximum resident set size: 29312 pages
% 18.10/5.68 % E---3.1 exiting
% 18.10/5.68 % E exiting
%------------------------------------------------------------------------------