TSTP Solution File: ITP087^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP087^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 22:16:14 EDT 2024
% Result : Theorem 5.31s 1.15s
% Output : CNFRefutation 5.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 20
% Syntax : Number of formulae : 34 ( 16 unt; 14 typ; 0 def)
% Number of atoms : 36 ( 6 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 136 ( 18 ~; 13 |; 0 &; 102 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 14 ( 0 ^ 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
secrecy_specID: $tType ).
thf(decl_sort2,type,
set_Secrecy_KS: $tType ).
thf(decl_sort3,type,
secrecy_KS: $tType ).
thf(decl_sort4,type,
set_Secrecy_specID: $tType ).
thf(decl_40,type,
bot_bo1785112429specID: set_Secrecy_specID ).
thf(decl_42,type,
correctCompositionKS: secrecy_specID > $o ).
thf(decl_55,type,
specKeysSecrets: secrecy_specID > set_Secrecy_KS ).
thf(decl_71,type,
insert1671894227specID: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(decl_89,type,
subcomponents: secrecy_specID > set_Secrecy_specID ).
thf(decl_90,type,
member_Secrecy_KS: secrecy_KS > set_Secrecy_KS > $o ).
thf(decl_95,type,
p: secrecy_specID ).
thf(decl_96,type,
pq: secrecy_specID ).
thf(decl_97,type,
q: secrecy_specID ).
thf(decl_99,type,
m: secrecy_KS ).
thf(fact_7_correctCompositionKS__PQ,axiom,
! [X1: secrecy_specID,X2: secrecy_specID,X3: secrecy_specID,X4: secrecy_KS] :
( ( ( subcomponents @ X1 )
= ( insert1671894227specID @ X2 @ ( insert1671894227specID @ X3 @ bot_bo1785112429specID ) ) )
=> ( ( correctCompositionKS @ X1 )
=> ( ( member_Secrecy_KS @ X4 @ ( specKeysSecrets @ X1 ) )
=> ( ( member_Secrecy_KS @ X4 @ ( specKeysSecrets @ X2 ) )
| ( member_Secrecy_KS @ X4 @ ( specKeysSecrets @ X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_correctCompositionKS__PQ) ).
thf(fact_2_notKSP,axiom,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_notKSP) ).
thf(fact_1_notKSQ,axiom,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_notKSQ) ).
thf(fact_3_subPQ,axiom,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_subPQ) ).
thf(conj_0,conjecture,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ pq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(fact_0_cCompKS,axiom,
correctCompositionKS @ pq,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_cCompKS) ).
thf(c_0_6,plain,
! [X1400: secrecy_specID,X1401: secrecy_specID,X1402: secrecy_specID,X1403: secrecy_KS] :
( ( ( subcomponents @ X1400 )
!= ( insert1671894227specID @ X1401 @ ( insert1671894227specID @ X1402 @ bot_bo1785112429specID ) ) )
| ~ ( correctCompositionKS @ X1400 )
| ~ ( member_Secrecy_KS @ X1403 @ ( specKeysSecrets @ X1400 ) )
| ( member_Secrecy_KS @ X1403 @ ( specKeysSecrets @ X1401 ) )
| ( member_Secrecy_KS @ X1403 @ ( specKeysSecrets @ X1402 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_7_correctCompositionKS__PQ])])]) ).
thf(c_0_7,plain,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) ),
inference(fof_simplification,[status(thm)],[fact_2_notKSP]) ).
thf(c_0_8,plain,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ q ) ),
inference(fof_simplification,[status(thm)],[fact_1_notKSQ]) ).
thf(c_0_9,plain,
! [X3: secrecy_specID,X4: secrecy_KS,X2: secrecy_specID,X1: secrecy_specID] :
( ( member_Secrecy_KS @ X4 @ ( specKeysSecrets @ X2 ) )
| ( member_Secrecy_KS @ X4 @ ( specKeysSecrets @ X3 ) )
| ( ( subcomponents @ X1 )
!= ( insert1671894227specID @ X2 @ ( insert1671894227specID @ X3 @ bot_bo1785112429specID ) ) )
| ~ ( correctCompositionKS @ X1 )
| ~ ( member_Secrecy_KS @ X4 @ ( specKeysSecrets @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
inference(split_conjunct,[status(thm)],[fact_3_subPQ]) ).
thf(c_0_11,negated_conjecture,
member_Secrecy_KS @ m @ ( specKeysSecrets @ pq ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
thf(c_0_12,plain,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) ),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
thf(c_0_13,plain,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ q ) ),
inference(fof_nnf,[status(thm)],[c_0_8]) ).
thf(c_0_14,plain,
! [X4: secrecy_KS,X1: secrecy_specID] :
( ( member_Secrecy_KS @ X4 @ ( specKeysSecrets @ p ) )
| ( member_Secrecy_KS @ X4 @ ( specKeysSecrets @ q ) )
| ( ( subcomponents @ X1 )
!= ( subcomponents @ pq ) )
| ~ ( member_Secrecy_KS @ X4 @ ( specKeysSecrets @ X1 ) )
| ~ ( correctCompositionKS @ X1 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_15,negated_conjecture,
member_Secrecy_KS @ m @ ( specKeysSecrets @ pq ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_16,plain,
correctCompositionKS @ pq,
inference(split_conjunct,[status(thm)],[fact_0_cCompKS]) ).
thf(c_0_17,plain,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_18,plain,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ q ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),c_0_17]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP087^1 : TPTP v8.2.0. Released v7.5.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat May 18 15:25:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running higher-order theorem proving
% 0.19/0.46 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
% 5.31/1.15 # Version: 3.1.0-ho
% 5.31/1.15 # Preprocessing class: HSLSSMSMSSMNSFA.
% 5.31/1.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.31/1.15 # Starting new_ho_3 with 1500s (5) cores
% 5.31/1.15 # Starting pre_casc_2 with 300s (1) cores
% 5.31/1.15 # Starting additional_ho_7 with 300s (1) cores
% 5.31/1.15 # Starting lpo8_s with 300s (1) cores
% 5.31/1.15 # new_ho_3 with pid 31089 completed with status 0
% 5.31/1.15 # Result found by new_ho_3
% 5.31/1.15 # Preprocessing class: HSLSSMSMSSMNSFA.
% 5.31/1.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.31/1.15 # Starting new_ho_3 with 1500s (5) cores
% 5.31/1.15 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 5.31/1.15 # Search class: HGHSM-FSLM32-SSFFFFBN
% 5.31/1.15 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 5.31/1.15 # Starting new_bool_3 with 811s (1) cores
% 5.31/1.15 # Starting new_ho_3 with 151s (1) cores
% 5.31/1.15 # Starting new_bool_1 with 136s (1) cores
% 5.31/1.15 # Starting new_bool_4 with 136s (1) cores
% 5.31/1.15 # Starting sh9 with 136s (1) cores
% 5.31/1.15 # new_ho_3 with pid 31095 completed with status 0
% 5.31/1.15 # Result found by new_ho_3
% 5.31/1.15 # Preprocessing class: HSLSSMSMSSMNSFA.
% 5.31/1.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.31/1.15 # Starting new_ho_3 with 1500s (5) cores
% 5.31/1.15 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 5.31/1.15 # Search class: HGHSM-FSLM32-SSFFFFBN
% 5.31/1.15 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 5.31/1.15 # Starting new_bool_3 with 811s (1) cores
% 5.31/1.15 # Starting new_ho_3 with 151s (1) cores
% 5.31/1.15 # Preprocessing time : 0.007 s
% 5.31/1.15 # Presaturation interreduction done
% 5.31/1.15
% 5.31/1.15 # Proof found!
% 5.31/1.15 # SZS status Theorem
% 5.31/1.15 # SZS output start CNFRefutation
% See solution above
% 5.31/1.15 # Parsed axioms : 447
% 5.31/1.15 # Removed by relevancy pruning/SinE : 149
% 5.31/1.15 # Initial clauses : 621
% 5.31/1.15 # Removed in clause preprocessing : 25
% 5.31/1.15 # Initial clauses in saturation : 596
% 5.31/1.15 # Processed clauses : 6539
% 5.31/1.15 # ...of these trivial : 115
% 5.31/1.15 # ...subsumed : 4544
% 5.31/1.15 # ...remaining for further processing : 1880
% 5.31/1.15 # Other redundant clauses eliminated : 257
% 5.31/1.15 # Clauses deleted for lack of memory : 0
% 5.31/1.15 # Backward-subsumed : 66
% 5.31/1.15 # Backward-rewritten : 10
% 5.31/1.15 # Generated clauses : 24684
% 5.31/1.15 # ...of the previous two non-redundant : 22143
% 5.31/1.15 # ...aggressively subsumed : 0
% 5.31/1.15 # Contextual simplify-reflections : 25
% 5.31/1.15 # Paramodulations : 24427
% 5.31/1.15 # Factorizations : 21
% 5.31/1.15 # NegExts : 0
% 5.31/1.15 # Equation resolutions : 274
% 5.31/1.15 # Disequality decompositions : 0
% 5.31/1.15 # Total rewrite steps : 11350
% 5.31/1.15 # ...of those cached : 10457
% 5.31/1.15 # Propositional unsat checks : 0
% 5.31/1.15 # Propositional check models : 0
% 5.31/1.15 # Propositional check unsatisfiable : 0
% 5.31/1.15 # Propositional clauses : 0
% 5.31/1.15 # Propositional clauses after purity: 0
% 5.31/1.15 # Propositional unsat core size : 0
% 5.31/1.15 # Propositional preprocessing time : 0.000
% 5.31/1.15 # Propositional encoding time : 0.000
% 5.31/1.15 # Propositional solver time : 0.000
% 5.31/1.15 # Success case prop preproc time : 0.000
% 5.31/1.15 # Success case prop encoding time : 0.000
% 5.31/1.15 # Success case prop solver time : 0.000
% 5.31/1.15 # Current number of processed clauses : 1356
% 5.31/1.15 # Positive orientable unit clauses : 83
% 5.31/1.15 # Positive unorientable unit clauses: 11
% 5.31/1.15 # Negative unit clauses : 41
% 5.31/1.15 # Non-unit-clauses : 1221
% 5.31/1.15 # Current number of unprocessed clauses: 16284
% 5.31/1.15 # ...number of literals in the above : 57210
% 5.31/1.15 # Current number of archived formulas : 0
% 5.31/1.15 # Current number of archived clauses : 440
% 5.31/1.15 # Clause-clause subsumption calls (NU) : 392856
% 5.31/1.15 # Rec. Clause-clause subsumption calls : 222386
% 5.31/1.15 # Non-unit clause-clause subsumptions : 3768
% 5.31/1.15 # Unit Clause-clause subsumption calls : 3383
% 5.31/1.15 # Rewrite failures with RHS unbound : 0
% 5.31/1.15 # BW rewrite match attempts : 169
% 5.31/1.15 # BW rewrite match successes : 123
% 5.31/1.15 # Condensation attempts : 6539
% 5.31/1.15 # Condensation successes : 27
% 5.31/1.15 # Termbank termtop insertions : 378793
% 5.31/1.15 # Search garbage collected termcells : 16014
% 5.31/1.15
% 5.31/1.15 # -------------------------------------------------
% 5.31/1.15 # User time : 0.608 s
% 5.31/1.15 # System time : 0.027 s
% 5.31/1.15 # Total time : 0.635 s
% 5.31/1.15 # Maximum resident set size: 5216 pages
% 5.31/1.15
% 5.31/1.15 # -------------------------------------------------
% 5.31/1.15 # User time : 2.991 s
% 5.31/1.15 # System time : 0.114 s
% 5.31/1.15 # Total time : 3.105 s
% 5.31/1.15 # Maximum resident set size: 2600 pages
% 5.31/1.15 % E---3.1 exiting
% 5.31/1.15 % E exiting
%------------------------------------------------------------------------------