TSTP Solution File: ITP090^1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP090^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 : Sat May 4 08:06:55 EDT 2024
% Result : Theorem 0.39s 0.67s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 18
% Syntax : Number of formulae : 29 ( 11 unt; 14 typ; 0 def)
% Number of atoms : 25 ( 2 equ; 0 cnn)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 90 ( 10 ~; 7 |; 2 &; 70 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 7 ( 0 ^ 7 !; 0 ?; 7 :)
% 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,
secrecy_Expression: $tType ).
thf(decl_sort5,type,
secrecy_Keys: $tType ).
thf(decl_22,type,
localSecrets: secrecy_specID > set_Secrecy_KS ).
thf(decl_24,type,
knowle945212990e_know: secrecy_specID > secrecy_KS > $o ).
thf(decl_52,type,
ine: secrecy_specID > secrecy_Expression > $o ).
thf(decl_62,type,
secrecy_kE: secrecy_Keys > secrecy_Expression ).
thf(decl_65,type,
secrecy_kKS: secrecy_Keys > secrecy_KS ).
thf(decl_96,type,
member_Secrecy_KS: secrecy_KS > set_Secrecy_KS > $o ).
thf(decl_103,type,
q: secrecy_specID ).
thf(decl_104,type,
key: secrecy_Keys ).
thf(decl_105,type,
m: secrecy_KS ).
thf(fact_8_know_Osimps_I1_J,axiom,
! [X3: secrecy_specID,X4: secrecy_Keys] :
( ( knowle945212990e_know @ X3 @ ( secrecy_kKS @ X4 ) )
<=> ( ( ine @ X3 @ ( secrecy_kE @ X4 ) )
| ( member_Secrecy_KS @ ( secrecy_kKS @ X4 ) @ ( localSecrets @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.DEo6kTHnAY/E---3.1_9203.p',fact_8_know_Osimps_I1_J) ).
thf(conj_0,conjecture,
~ ( member_Secrecy_KS @ ( secrecy_kKS @ key ) @ ( localSecrets @ q ) ),
file('/export/starexec/sandbox/tmp/tmp.DEo6kTHnAY/E---3.1_9203.p',conj_0) ).
thf(fact_0_not__knowQm,axiom,
~ ( knowle945212990e_know @ q @ m ),
file('/export/starexec/sandbox/tmp/tmp.DEo6kTHnAY/E---3.1_9203.p',fact_0_not__knowQm) ).
thf(fact_1_a1,axiom,
( m
= ( secrecy_kKS @ key ) ),
file('/export/starexec/sandbox/tmp/tmp.DEo6kTHnAY/E---3.1_9203.p',fact_1_a1) ).
thf(c_0_4,plain,
! [X1166: secrecy_specID,X1167: secrecy_Keys] :
( ( ~ ( knowle945212990e_know @ X1166 @ ( secrecy_kKS @ X1167 ) )
| ( ine @ X1166 @ ( secrecy_kE @ X1167 ) )
| ( member_Secrecy_KS @ ( secrecy_kKS @ X1167 ) @ ( localSecrets @ X1166 ) ) )
& ( ~ ( ine @ X1166 @ ( secrecy_kE @ X1167 ) )
| ( knowle945212990e_know @ X1166 @ ( secrecy_kKS @ X1167 ) ) )
& ( ~ ( member_Secrecy_KS @ ( secrecy_kKS @ X1167 ) @ ( localSecrets @ X1166 ) )
| ( knowle945212990e_know @ X1166 @ ( secrecy_kKS @ X1167 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_8_know_Osimps_I1_J])])])]) ).
thf(c_0_5,negated_conjecture,
member_Secrecy_KS @ ( secrecy_kKS @ key ) @ ( localSecrets @ q ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
thf(c_0_6,plain,
~ ( knowle945212990e_know @ q @ m ),
inference(fof_simplification,[status(thm)],[fact_0_not__knowQm]) ).
thf(c_0_7,plain,
! [X1: secrecy_Keys,X3: secrecy_specID] :
( ( knowle945212990e_know @ X3 @ ( secrecy_kKS @ X1 ) )
| ~ ( member_Secrecy_KS @ ( secrecy_kKS @ X1 ) @ ( localSecrets @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_8,plain,
( m
= ( secrecy_kKS @ key ) ),
inference(split_conjunct,[status(thm)],[fact_1_a1]) ).
thf(c_0_9,negated_conjecture,
member_Secrecy_KS @ ( secrecy_kKS @ key ) @ ( localSecrets @ q ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_10,plain,
~ ( knowle945212990e_know @ q @ m ),
inference(fof_nnf,[status(thm)],[c_0_6]) ).
thf(c_0_11,plain,
! [X3: secrecy_specID] :
( ( knowle945212990e_know @ X3 @ m )
| ~ ( member_Secrecy_KS @ m @ ( localSecrets @ X3 ) ) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_12,negated_conjecture,
member_Secrecy_KS @ m @ ( localSecrets @ q ),
inference(rw,[status(thm)],[c_0_9,c_0_8]) ).
thf(c_0_13,plain,
~ ( knowle945212990e_know @ q @ m ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_14,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.19 % Problem : ITP090^1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.20 % Command : run_E %s %d THM
% 0.17/0.39 % Computer : n002.cluster.edu
% 0.17/0.39 % Model : x86_64 x86_64
% 0.17/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39 % Memory : 8042.1875MB
% 0.17/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.40 % CPULimit : 300
% 0.17/0.40 % WCLimit : 300
% 0.17/0.40 % DateTime : Fri May 3 12:46:57 EDT 2024
% 0.17/0.40 % CPUTime :
% 0.36/0.57 Running higher-order theorem proving
% 0.36/0.57 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/tmp/tmp.DEo6kTHnAY/E---3.1_9203.p
% 0.39/0.67 # Version: 3.1.0-ho
% 0.39/0.67 # Preprocessing class: HSLSSMSMSSMNSFA.
% 0.39/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.67 # Starting new_ho_3 with 1500s (5) cores
% 0.39/0.67 # Starting pre_casc_2 with 300s (1) cores
% 0.39/0.67 # Starting additional_ho_7 with 300s (1) cores
% 0.39/0.67 # Starting lpo8_s with 300s (1) cores
% 0.39/0.67 # additional_ho_7 with pid 9283 completed with status 0
% 0.39/0.67 # Result found by additional_ho_7
% 0.39/0.67 # Preprocessing class: HSLSSMSMSSMNSFA.
% 0.39/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.67 # Starting new_ho_3 with 1500s (5) cores
% 0.39/0.67 # Starting pre_casc_2 with 300s (1) cores
% 0.39/0.67 # Starting additional_ho_7 with 300s (1) cores
% 0.39/0.67 # SinE strategy is GSinE(CountFormulas,hypos,4.0,,2,20000,1.0)
% 0.39/0.67 # Search class: HGHSM-FSLM32-SSFFFFBN
% 0.39/0.67 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.39/0.67 # Starting new_bool_3 with 163s (1) cores
% 0.39/0.67 # new_bool_3 with pid 9286 completed with status 0
% 0.39/0.67 # Result found by new_bool_3
% 0.39/0.67 # Preprocessing class: HSLSSMSMSSMNSFA.
% 0.39/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.67 # Starting new_ho_3 with 1500s (5) cores
% 0.39/0.67 # Starting pre_casc_2 with 300s (1) cores
% 0.39/0.67 # Starting additional_ho_7 with 300s (1) cores
% 0.39/0.67 # SinE strategy is GSinE(CountFormulas,hypos,4.0,,2,20000,1.0)
% 0.39/0.67 # Search class: HGHSM-FSLM32-SSFFFFBN
% 0.39/0.67 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.39/0.67 # Starting new_bool_3 with 163s (1) cores
% 0.39/0.67 # Preprocessing time : 0.009 s
% 0.39/0.67 # Presaturation interreduction done
% 0.39/0.67
% 0.39/0.67 # Proof found!
% 0.39/0.67 # SZS status Theorem
% 0.39/0.67 # SZS output start CNFRefutation
% See solution above
% 0.39/0.67 # Parsed axioms : 453
% 0.39/0.67 # Removed by relevancy pruning/SinE : 259
% 0.39/0.67 # Initial clauses : 389
% 0.39/0.67 # Removed in clause preprocessing : 18
% 0.39/0.67 # Initial clauses in saturation : 371
% 0.39/0.67 # Processed clauses : 444
% 0.39/0.67 # ...of these trivial : 2
% 0.39/0.67 # ...subsumed : 84
% 0.39/0.67 # ...remaining for further processing : 358
% 0.39/0.67 # Other redundant clauses eliminated : 56
% 0.39/0.67 # Clauses deleted for lack of memory : 0
% 0.39/0.67 # Backward-subsumed : 8
% 0.39/0.67 # Backward-rewritten : 4
% 0.39/0.67 # Generated clauses : 65
% 0.39/0.67 # ...of the previous two non-redundant : 39
% 0.39/0.67 # ...aggressively subsumed : 0
% 0.39/0.67 # Contextual simplify-reflections : 16
% 0.39/0.67 # Paramodulations : 19
% 0.39/0.67 # Factorizations : 0
% 0.39/0.67 # NegExts : 0
% 0.39/0.67 # Equation resolutions : 60
% 0.39/0.67 # Disequality decompositions : 0
% 0.39/0.67 # Total rewrite steps : 25
% 0.39/0.67 # ...of those cached : 10
% 0.39/0.67 # Propositional unsat checks : 0
% 0.39/0.67 # Propositional check models : 0
% 0.39/0.67 # Propositional check unsatisfiable : 0
% 0.39/0.67 # Propositional clauses : 0
% 0.39/0.67 # Propositional clauses after purity: 0
% 0.39/0.67 # Propositional unsat core size : 0
% 0.39/0.67 # Propositional preprocessing time : 0.000
% 0.39/0.67 # Propositional encoding time : 0.000
% 0.39/0.67 # Propositional solver time : 0.000
% 0.39/0.67 # Success case prop preproc time : 0.000
% 0.39/0.67 # Success case prop encoding time : 0.000
% 0.39/0.67 # Success case prop solver time : 0.000
% 0.39/0.67 # Current number of processed clauses : 47
% 0.39/0.67 # Positive orientable unit clauses : 12
% 0.39/0.67 # Positive unorientable unit clauses: 0
% 0.39/0.67 # Negative unit clauses : 16
% 0.39/0.67 # Non-unit-clauses : 19
% 0.39/0.67 # Current number of unprocessed clauses: 224
% 0.39/0.67 # ...number of literals in the above : 958
% 0.39/0.67 # Current number of archived formulas : 0
% 0.39/0.67 # Current number of archived clauses : 270
% 0.39/0.67 # Clause-clause subsumption calls (NU) : 37421
% 0.39/0.67 # Rec. Clause-clause subsumption calls : 4738
% 0.39/0.67 # Non-unit clause-clause subsumptions : 93
% 0.39/0.67 # Unit Clause-clause subsumption calls : 86
% 0.39/0.67 # Rewrite failures with RHS unbound : 0
% 0.39/0.67 # BW rewrite match attempts : 35
% 0.39/0.67 # BW rewrite match successes : 23
% 0.39/0.67 # Condensation attempts : 0
% 0.39/0.67 # Condensation successes : 0
% 0.39/0.67 # Termbank termtop insertions : 66541
% 0.39/0.67 # Search garbage collected termcells : 13056
% 0.39/0.67
% 0.39/0.67 # -------------------------------------------------
% 0.39/0.67 # User time : 0.081 s
% 0.39/0.67 # System time : 0.005 s
% 0.39/0.67 # Total time : 0.086 s
% 0.39/0.67 # Maximum resident set size: 4320 pages
% 0.39/0.67
% 0.39/0.67 # -------------------------------------------------
% 0.39/0.67 # User time : 0.090 s
% 0.39/0.67 # System time : 0.007 s
% 0.39/0.67 # Total time : 0.098 s
% 0.39/0.67 # Maximum resident set size: 2632 pages
% 0.39/0.67 % E---3.1 exiting
% 0.39/0.67 % E exiting
%------------------------------------------------------------------------------