TSTP Solution File: ITP086^1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP086^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 18.56s 6.62s
% Output : CNFRefutation 18.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 25
% Syntax : Number of formulae : 42 ( 14 unt; 18 typ; 0 def)
% Number of atoms : 49 ( 7 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 189 ( 21 ~; 15 |; 0 &; 143 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 24 ( 0 ^ 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
set_Secrecy_chanID: $tType ).
thf(decl_sort2,type,
set_Secrecy_specID: $tType ).
thf(decl_sort3,type,
secrecy_chanID: $tType ).
thf(decl_sort4,type,
secrecy_specID: $tType ).
thf(decl_sort5,type,
secrecy_Expression: $tType ).
thf(decl_32,type,
bot_bo1785112429specID: set_Secrecy_specID ).
thf(decl_37,type,
exprChannel: secrecy_chanID > secrecy_Expression > $o ).
thf(decl_47,type,
insert1671894227specID: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(decl_56,type,
correctCompositionIn: secrecy_specID > $o ).
thf(decl_61,type,
ins: secrecy_specID > set_Secrecy_chanID ).
thf(decl_62,type,
loc: secrecy_specID > set_Secrecy_chanID ).
thf(decl_66,type,
subcomponents: secrecy_specID > set_Secrecy_specID ).
thf(decl_67,type,
member1967978193chanID: secrecy_chanID > set_Secrecy_chanID > $o ).
thf(decl_69,type,
p: secrecy_specID ).
thf(decl_70,type,
pq: secrecy_specID ).
thf(decl_71,type,
q: secrecy_specID ).
thf(decl_72,type,
ch: secrecy_chanID ).
thf(decl_73,type,
m: secrecy_Expression ).
thf(fact_6_correctCompositionIn__L1,axiom,
! [X5: secrecy_specID,X6: secrecy_specID,X7: secrecy_specID,X8: secrecy_chanID] :
( ( ( subcomponents @ X5 )
= ( insert1671894227specID @ X6 @ ( insert1671894227specID @ X7 @ bot_bo1785112429specID ) ) )
=> ( ( correctCompositionIn @ X5 )
=> ( ~ ( member1967978193chanID @ X8 @ ( loc @ X5 ) )
=> ( ( member1967978193chanID @ X8 @ ( ins @ X6 ) )
=> ( member1967978193chanID @ X8 @ ( ins @ X5 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_correctCompositionIn__L1) ).
thf(fact_3_assms_I5_J,axiom,
! [X1: secrecy_chanID] :
( ( member1967978193chanID @ X1 @ ( ins @ pq ) )
=> ~ ( exprChannel @ X1 @ m ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_assms_I5_J) ).
thf(fact_4_assms_I1_J,axiom,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_assms_I1_J) ).
thf(fact_0_assms_I2_J,axiom,
correctCompositionIn @ pq,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms_I2_J) ).
thf(conj_0,conjecture,
member1967978193chanID @ ch @ ( loc @ pq ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(fact_1_assms_I4_J,axiom,
exprChannel @ ch @ m,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_assms_I4_J) ).
thf(fact_2_assms_I3_J,axiom,
member1967978193chanID @ ch @ ( ins @ p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_assms_I3_J) ).
thf(c_0_7,plain,
! [X5: secrecy_specID,X6: secrecy_specID,X7: secrecy_specID,X8: secrecy_chanID] :
( ( ( subcomponents @ X5 )
= ( insert1671894227specID @ X6 @ ( insert1671894227specID @ X7 @ bot_bo1785112429specID ) ) )
=> ( ( correctCompositionIn @ X5 )
=> ( ~ ( member1967978193chanID @ X8 @ ( loc @ X5 ) )
=> ( ( member1967978193chanID @ X8 @ ( ins @ X6 ) )
=> ( member1967978193chanID @ X8 @ ( ins @ X5 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_6_correctCompositionIn__L1]) ).
thf(c_0_8,plain,
! [X1535: secrecy_specID,X1536: secrecy_specID,X1537: secrecy_specID,X1538: secrecy_chanID] :
( ( ( subcomponents @ X1535 )
!= ( insert1671894227specID @ X1536 @ ( insert1671894227specID @ X1537 @ bot_bo1785112429specID ) ) )
| ~ ( correctCompositionIn @ X1535 )
| ( member1967978193chanID @ X1538 @ ( loc @ X1535 ) )
| ~ ( member1967978193chanID @ X1538 @ ( ins @ X1536 ) )
| ( member1967978193chanID @ X1538 @ ( ins @ X1535 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
thf(c_0_9,plain,
! [X1: secrecy_chanID] :
( ( member1967978193chanID @ X1 @ ( ins @ pq ) )
=> ~ ( exprChannel @ X1 @ m ) ),
inference(fof_simplification,[status(thm)],[fact_3_assms_I5_J]) ).
thf(c_0_10,plain,
! [X1: secrecy_chanID,X2: secrecy_specID,X6: secrecy_specID,X5: secrecy_specID] :
( ( member1967978193chanID @ X1 @ ( loc @ X2 ) )
| ( member1967978193chanID @ X1 @ ( ins @ X2 ) )
| ( ( subcomponents @ X2 )
!= ( insert1671894227specID @ X5 @ ( insert1671894227specID @ X6 @ bot_bo1785112429specID ) ) )
| ~ ( correctCompositionIn @ X2 )
| ~ ( member1967978193chanID @ X1 @ ( ins @ X5 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_11,plain,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
inference(split_conjunct,[status(thm)],[fact_4_assms_I1_J]) ).
thf(c_0_12,plain,
correctCompositionIn @ pq,
inference(split_conjunct,[status(thm)],[fact_0_assms_I2_J]) ).
thf(c_0_13,plain,
! [X1532: secrecy_chanID] :
( ~ ( member1967978193chanID @ X1532 @ ( ins @ pq ) )
| ~ ( exprChannel @ X1532 @ m ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
thf(c_0_14,negated_conjecture,
~ ( member1967978193chanID @ ch @ ( loc @ pq ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
thf(c_0_15,plain,
! [X1: secrecy_chanID,X5: secrecy_specID,X2: secrecy_specID] :
( ( member1967978193chanID @ X1 @ ( loc @ pq ) )
| ( member1967978193chanID @ X1 @ ( ins @ pq ) )
| ( ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) )
!= ( insert1671894227specID @ X2 @ ( insert1671894227specID @ X5 @ bot_bo1785112429specID ) ) )
| ~ ( member1967978193chanID @ X1 @ ( ins @ X2 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
thf(c_0_16,plain,
! [X1: secrecy_chanID] :
( ~ ( member1967978193chanID @ X1 @ ( ins @ pq ) )
| ~ ( exprChannel @ X1 @ m ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_17,plain,
exprChannel @ ch @ m,
inference(split_conjunct,[status(thm)],[fact_1_assms_I4_J]) ).
thf(c_0_18,negated_conjecture,
~ ( member1967978193chanID @ ch @ ( loc @ pq ) ),
inference(fof_nnf,[status(thm)],[c_0_14]) ).
thf(c_0_19,plain,
! [X1: secrecy_chanID] :
( ( member1967978193chanID @ X1 @ ( ins @ pq ) )
| ( member1967978193chanID @ X1 @ ( loc @ pq ) )
| ~ ( member1967978193chanID @ X1 @ ( ins @ p ) ) ),
inference(er,[status(thm)],[c_0_15]) ).
thf(c_0_20,plain,
member1967978193chanID @ ch @ ( ins @ p ),
inference(split_conjunct,[status(thm)],[fact_2_assms_I3_J]) ).
thf(c_0_21,plain,
~ ( member1967978193chanID @ ch @ ( ins @ pq ) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_22,negated_conjecture,
~ ( member1967978193chanID @ ch @ ( loc @ pq ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_23,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP086^1 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat May 18 18:37:08 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.21/0.49 Running higher-order theorem proving
% 0.21/0.49 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
% 18.56/6.62 # Version: 3.1.0-ho
% 18.56/6.62 # Preprocessing class: HSLSSMSSSSMNSFA.
% 18.56/6.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.56/6.62 # Starting post_as_ho6 with 1500s (5) cores
% 18.56/6.62 # Starting new_bool_3 with 300s (1) cores
% 18.56/6.62 # Starting sh8 with 300s (1) cores
% 18.56/6.62 # Starting post_as_ho1 with 300s (1) cores
% 18.56/6.62 # post_as_ho6 with pid 18464 completed with status 8
% 18.56/6.62 # post_as_ho1 with pid 18467 completed with status 0
% 18.56/6.62 # Result found by post_as_ho1
% 18.56/6.62 # Preprocessing class: HSLSSMSSSSMNSFA.
% 18.56/6.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.56/6.62 # Starting post_as_ho6 with 1500s (5) cores
% 18.56/6.62 # Starting new_bool_3 with 300s (1) cores
% 18.56/6.62 # Starting sh8 with 300s (1) cores
% 18.56/6.62 # Starting post_as_ho1 with 300s (1) cores
% 18.56/6.62 # No SInE strategy applied
% 18.56/6.62 # Search class: HGHSM-FSLM32-SSFFFFBN
% 18.56/6.62 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 18.56/6.62 # Starting new_bool_3 with 163s (1) cores
% 18.56/6.62 # new_bool_3 with pid 18483 completed with status 0
% 18.56/6.62 # Result found by new_bool_3
% 18.56/6.62 # Preprocessing class: HSLSSMSSSSMNSFA.
% 18.56/6.62 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.56/6.62 # Starting post_as_ho6 with 1500s (5) cores
% 18.56/6.62 # Starting new_bool_3 with 300s (1) cores
% 18.56/6.62 # Starting sh8 with 300s (1) cores
% 18.56/6.62 # Starting post_as_ho1 with 300s (1) cores
% 18.56/6.62 # No SInE strategy applied
% 18.56/6.62 # Search class: HGHSM-FSLM32-SSFFFFBN
% 18.56/6.62 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 18.56/6.62 # Starting new_bool_3 with 163s (1) cores
% 18.56/6.62 # Preprocessing time : 0.013 s
% 18.56/6.62 # Presaturation interreduction done
% 18.56/6.62
% 18.56/6.62 # Proof found!
% 18.56/6.62 # SZS status Theorem
% 18.56/6.62 # SZS output start CNFRefutation
% See solution above
% 18.56/6.62 # Parsed axioms : 414
% 18.56/6.62 # Removed by relevancy pruning/SinE : 0
% 18.56/6.62 # Initial clauses : 745
% 18.56/6.62 # Removed in clause preprocessing : 72
% 18.56/6.62 # Initial clauses in saturation : 673
% 18.56/6.62 # Processed clauses : 30868
% 18.56/6.62 # ...of these trivial : 533
% 18.56/6.62 # ...subsumed : 25052
% 18.56/6.62 # ...remaining for further processing : 5283
% 18.56/6.62 # Other redundant clauses eliminated : 5203
% 18.56/6.62 # Clauses deleted for lack of memory : 0
% 18.56/6.62 # Backward-subsumed : 67
% 18.56/6.62 # Backward-rewritten : 152
% 18.56/6.62 # Generated clauses : 228832
% 18.56/6.62 # ...of the previous two non-redundant : 202388
% 18.56/6.62 # ...aggressively subsumed : 0
% 18.56/6.62 # Contextual simplify-reflections : 52
% 18.56/6.62 # Paramodulations : 222265
% 18.56/6.62 # Factorizations : 122
% 18.56/6.62 # NegExts : 55
% 18.56/6.62 # Equation resolutions : 5264
% 18.56/6.62 # Disequality decompositions : 0
% 18.56/6.62 # Total rewrite steps : 60858
% 18.56/6.62 # ...of those cached : 54900
% 18.56/6.62 # Propositional unsat checks : 1
% 18.56/6.62 # Propositional check models : 0
% 18.56/6.62 # Propositional check unsatisfiable : 0
% 18.56/6.62 # Propositional clauses : 0
% 18.56/6.62 # Propositional clauses after purity: 0
% 18.56/6.62 # Propositional unsat core size : 0
% 18.56/6.62 # Propositional preprocessing time : 0.000
% 18.56/6.62 # Propositional encoding time : 0.277
% 18.56/6.62 # Propositional solver time : 0.179
% 18.56/6.62 # Success case prop preproc time : 0.000
% 18.56/6.62 # Success case prop encoding time : 0.000
% 18.56/6.62 # Success case prop solver time : 0.000
% 18.56/6.62 # Current number of processed clauses : 4427
% 18.56/6.62 # Positive orientable unit clauses : 456
% 18.56/6.62 # Positive unorientable unit clauses: 7
% 18.56/6.62 # Negative unit clauses : 274
% 18.56/6.62 # Non-unit-clauses : 3690
% 18.56/6.62 # Current number of unprocessed clauses: 171969
% 18.56/6.62 # ...number of literals in the above : 492450
% 18.56/6.62 # Current number of archived formulas : 0
% 18.56/6.62 # Current number of archived clauses : 755
% 18.56/6.62 # Clause-clause subsumption calls (NU) : 2680360
% 18.56/6.62 # Rec. Clause-clause subsumption calls : 2024745
% 18.56/6.62 # Non-unit clause-clause subsumptions : 15847
% 18.56/6.62 # Unit Clause-clause subsumption calls : 50197
% 18.56/6.62 # Rewrite failures with RHS unbound : 0
% 18.56/6.62 # BW rewrite match attempts : 454
% 18.56/6.62 # BW rewrite match successes : 142
% 18.56/6.62 # Condensation attempts : 0
% 18.56/6.62 # Condensation successes : 0
% 18.56/6.62 # Termbank termtop insertions : 11544650
% 18.56/6.62 # Search garbage collected termcells : 16066
% 18.56/6.62
% 18.56/6.62 # -------------------------------------------------
% 18.56/6.62 # User time : 5.932 s
% 18.56/6.62 # System time : 0.136 s
% 18.56/6.62 # Total time : 6.067 s
% 18.56/6.62 # Maximum resident set size: 5212 pages
% 18.56/6.62
% 18.56/6.62 # -------------------------------------------------
% 18.56/6.62 # User time : 5.961 s
% 18.56/6.62 # System time : 0.184 s
% 18.56/6.62 # Total time : 6.145 s
% 18.56/6.62 # Maximum resident set size: 2548 pages
% 18.56/6.62 % E---3.1 exiting
% 18.56/6.62 % E exiting
%------------------------------------------------------------------------------