TSTP Solution File: ITP084^1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP084^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 08:06:54 EDT 2024
% Result : Theorem 0.44s 0.66s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 18
% Syntax : Number of formulae : 28 ( 10 unt; 14 typ; 0 def)
% Number of atoms : 20 ( 3 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 88 ( 7 ~; 4 |; 1 &; 75 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 11 ( 0 ^ 11 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
secrecy_Expression: $tType ).
thf(decl_sort2,type,
secrecy_KS: $tType ).
thf(decl_sort3,type,
secrecy_Keys: $tType ).
thf(decl_sort4,type,
list_S529945141ession: $tType ).
thf(decl_sort5,type,
secrecy_specID: $tType ).
thf(decl_35,type,
knowle945212990e_know: secrecy_specID > secrecy_KS > $o ).
thf(decl_36,type,
knowle731562421_knows: secrecy_specID > list_S529945141ession > $o ).
thf(decl_65,type,
cons_S112077679ession: secrecy_Expression > list_S529945141ession > list_S529945141ession ).
thf(decl_71,type,
nil_Se901661471ession: list_S529945141ession ).
thf(decl_123,type,
secrecy_kE: secrecy_Keys > secrecy_Expression ).
thf(decl_125,type,
secrec1016742679ession: secrecy_KS > secrecy_Expression ).
thf(decl_126,type,
secrecy_kKS: secrecy_Keys > secrecy_KS ).
thf(decl_139,type,
a: secrecy_specID ).
thf(decl_140,type,
m: secrecy_Keys ).
thf(fact_7_know1k,axiom,
! [X11: secrecy_specID,X12: secrecy_Keys] :
( ( knowle731562421_knows @ X11 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_kKS @ X12 ) ) @ nil_Se901661471ession ) )
<=> ( knowle945212990e_know @ X11 @ ( secrecy_kKS @ X12 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.CqfztUlz4B/E---3.1_20619.p',fact_7_know1k) ).
thf(fact_13_KS2Expression_Osimps_I1_J,axiom,
! [X10: secrecy_Keys] :
( ( secrec1016742679ession @ ( secrecy_kKS @ X10 ) )
= ( secrecy_kE @ X10 ) ),
file('/export/starexec/sandbox/tmp/tmp.CqfztUlz4B/E---3.1_20619.p',fact_13_KS2Expression_Osimps_I1_J) ).
thf(conj_0,conjecture,
knowle945212990e_know @ a @ ( secrecy_kKS @ m ),
file('/export/starexec/sandbox/tmp/tmp.CqfztUlz4B/E---3.1_20619.p',conj_0) ).
thf(fact_0_assms,axiom,
knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_kE @ m ) @ nil_Se901661471ession ),
file('/export/starexec/sandbox/tmp/tmp.CqfztUlz4B/E---3.1_20619.p',fact_0_assms) ).
thf(c_0_4,plain,
! [X1104: secrecy_specID,X1105: secrecy_Keys] :
( ( ~ ( knowle731562421_knows @ X1104 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_kKS @ X1105 ) ) @ nil_Se901661471ession ) )
| ( knowle945212990e_know @ X1104 @ ( secrecy_kKS @ X1105 ) ) )
& ( ~ ( knowle945212990e_know @ X1104 @ ( secrecy_kKS @ X1105 ) )
| ( knowle731562421_knows @ X1104 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_kKS @ X1105 ) ) @ nil_Se901661471ession ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_7_know1k])])]) ).
thf(c_0_5,plain,
! [X1118: secrecy_Keys] :
( ( secrec1016742679ession @ ( secrecy_kKS @ X1118 ) )
= ( secrecy_kE @ X1118 ) ),
inference(variable_rename,[status(thm)],[fact_13_KS2Expression_Osimps_I1_J]) ).
thf(c_0_6,negated_conjecture,
~ ( knowle945212990e_know @ a @ ( secrecy_kKS @ m ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
thf(c_0_7,plain,
! [X6: secrecy_specID,X1: secrecy_Keys] :
( ( knowle945212990e_know @ X6 @ ( secrecy_kKS @ X1 ) )
| ~ ( knowle731562421_knows @ X6 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_kKS @ X1 ) ) @ nil_Se901661471ession ) ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_8,plain,
! [X1: secrecy_Keys] :
( ( secrec1016742679ession @ ( secrecy_kKS @ X1 ) )
= ( secrecy_kE @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,negated_conjecture,
~ ( knowle945212990e_know @ a @ ( secrecy_kKS @ m ) ),
inference(fof_nnf,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
! [X6: secrecy_specID,X1: secrecy_Keys] :
( ( knowle945212990e_know @ X6 @ ( secrecy_kKS @ X1 ) )
| ~ ( knowle731562421_knows @ X6 @ ( cons_S112077679ession @ ( secrecy_kE @ X1 ) @ nil_Se901661471ession ) ) ),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_11,plain,
knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_kE @ m ) @ nil_Se901661471ession ),
inference(split_conjunct,[status(thm)],[fact_0_assms]) ).
thf(c_0_12,negated_conjecture,
~ ( knowle945212990e_know @ a @ ( secrecy_kKS @ m ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_13,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.18 % Problem : ITP084^1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.19 % Command : run_E %s %d THM
% 0.19/0.40 % Computer : n004.cluster.edu
% 0.19/0.40 % Model : x86_64 x86_64
% 0.19/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.40 % Memory : 8042.1875MB
% 0.19/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.40 % CPULimit : 300
% 0.19/0.40 % WCLimit : 300
% 0.19/0.40 % DateTime : Fri May 3 12:37:48 EDT 2024
% 0.26/0.40 % CPUTime :
% 0.44/0.59 Running higher-order theorem proving
% 0.44/0.59 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.CqfztUlz4B/E---3.1_20619.p
% 0.44/0.66 # Version: 3.1.0-ho
% 0.44/0.66 # Preprocessing class: HSLMSMSMSSMNHFA.
% 0.44/0.66 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.66 # Starting full_lambda_6 with 1200s (4) cores
% 0.44/0.66 # Starting additional_ho_6 with 300s (1) cores
% 0.44/0.66 # Starting new_ho_9 with 300s (1) cores
% 0.44/0.66 # Starting full_lambda_3 with 300s (1) cores
% 0.44/0.66 # Starting post_as_ho6 with 300s (1) cores
% 0.44/0.66 # additional_ho_6 with pid 20736 completed with status 0
% 0.44/0.66 # Result found by additional_ho_6
% 0.44/0.66 # Preprocessing class: HSLMSMSMSSMNHFA.
% 0.44/0.66 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.66 # Starting full_lambda_6 with 1200s (4) cores
% 0.44/0.66 # Starting additional_ho_6 with 300s (1) cores
% 0.44/0.66 # SinE strategy is GSinE(CountFormulas,hypos,4.0,,2,20000,1.0)
% 0.44/0.66 # Search class: HGHSM-FSLF31-MHFFFSBN
% 0.44/0.66 # partial match(1): HGHSM-FSLM31-MHFFFSBN
% 0.44/0.66 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.66 # Starting new_ho_10 with 181s (1) cores
% 0.44/0.66 # new_ho_10 with pid 20750 completed with status 0
% 0.44/0.66 # Result found by new_ho_10
% 0.44/0.66 # Preprocessing class: HSLMSMSMSSMNHFA.
% 0.44/0.66 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.66 # Starting full_lambda_6 with 1200s (4) cores
% 0.44/0.66 # Starting additional_ho_6 with 300s (1) cores
% 0.44/0.66 # SinE strategy is GSinE(CountFormulas,hypos,4.0,,2,20000,1.0)
% 0.44/0.66 # Search class: HGHSM-FSLF31-MHFFFSBN
% 0.44/0.66 # partial match(1): HGHSM-FSLM31-MHFFFSBN
% 0.44/0.66 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.66 # Starting new_ho_10 with 181s (1) cores
% 0.44/0.66 # Preprocessing time : 0.004 s
% 0.44/0.66 # Presaturation interreduction done
% 0.44/0.66
% 0.44/0.66 # Proof found!
% 0.44/0.66 # SZS status Theorem
% 0.44/0.66 # SZS output start CNFRefutation
% See solution above
% 0.44/0.66 # Parsed axioms : 490
% 0.44/0.66 # Removed by relevancy pruning/SinE : 426
% 0.44/0.66 # Initial clauses : 139
% 0.44/0.66 # Removed in clause preprocessing : 6
% 0.44/0.66 # Initial clauses in saturation : 133
% 0.44/0.66 # Processed clauses : 164
% 0.44/0.66 # ...of these trivial : 3
% 0.44/0.66 # ...subsumed : 9
% 0.44/0.66 # ...remaining for further processing : 152
% 0.44/0.66 # Other redundant clauses eliminated : 27
% 0.44/0.66 # Clauses deleted for lack of memory : 0
% 0.44/0.66 # Backward-subsumed : 0
% 0.44/0.66 # Backward-rewritten : 0
% 0.44/0.66 # Generated clauses : 39
% 0.44/0.66 # ...of the previous two non-redundant : 10
% 0.44/0.66 # ...aggressively subsumed : 0
% 0.44/0.66 # Contextual simplify-reflections : 0
% 0.44/0.66 # Paramodulations : 13
% 0.44/0.66 # Factorizations : 0
% 0.44/0.66 # NegExts : 0
% 0.44/0.66 # Equation resolutions : 33
% 0.44/0.66 # Disequality decompositions : 0
% 0.44/0.66 # Total rewrite steps : 20
% 0.44/0.66 # ...of those cached : 11
% 0.44/0.66 # Propositional unsat checks : 0
% 0.44/0.66 # Propositional check models : 0
% 0.44/0.66 # Propositional check unsatisfiable : 0
% 0.44/0.66 # Propositional clauses : 0
% 0.44/0.66 # Propositional clauses after purity: 0
% 0.44/0.66 # Propositional unsat core size : 0
% 0.44/0.66 # Propositional preprocessing time : 0.000
% 0.44/0.66 # Propositional encoding time : 0.000
% 0.44/0.66 # Propositional solver time : 0.000
% 0.44/0.66 # Success case prop preproc time : 0.000
% 0.44/0.66 # Success case prop encoding time : 0.000
% 0.44/0.66 # Success case prop solver time : 0.000
% 0.44/0.66 # Current number of processed clauses : 25
% 0.44/0.66 # Positive orientable unit clauses : 6
% 0.44/0.66 # Positive unorientable unit clauses: 0
% 0.44/0.66 # Negative unit clauses : 5
% 0.44/0.66 # Non-unit-clauses : 14
% 0.44/0.66 # Current number of unprocessed clauses: 89
% 0.44/0.66 # ...number of literals in the above : 309
% 0.44/0.66 # Current number of archived formulas : 0
% 0.44/0.66 # Current number of archived clauses : 110
% 0.44/0.66 # Clause-clause subsumption calls (NU) : 3006
% 0.44/0.66 # Rec. Clause-clause subsumption calls : 1250
% 0.44/0.66 # Non-unit clause-clause subsumptions : 7
% 0.44/0.66 # Unit Clause-clause subsumption calls : 13
% 0.44/0.66 # Rewrite failures with RHS unbound : 0
% 0.44/0.66 # BW rewrite match attempts : 0
% 0.44/0.66 # BW rewrite match successes : 0
% 0.44/0.66 # Condensation attempts : 164
% 0.44/0.66 # Condensation successes : 0
% 0.44/0.66 # Termbank termtop insertions : 19291
% 0.44/0.66 # Search garbage collected termcells : 7495
% 0.44/0.66
% 0.44/0.66 # -------------------------------------------------
% 0.44/0.66 # User time : 0.026 s
% 0.44/0.66 # System time : 0.007 s
% 0.44/0.66 # Total time : 0.033 s
% 0.44/0.66 # Maximum resident set size: 3632 pages
% 0.44/0.66
% 0.44/0.66 # -------------------------------------------------
% 0.44/0.66 # User time : 0.045 s
% 0.44/0.66 # System time : 0.009 s
% 0.44/0.66 # Total time : 0.054 s
% 0.44/0.66 # Maximum resident set size: 2892 pages
% 0.44/0.66 % E---3.1 exiting
% 0.44/0.66 % E exiting
%------------------------------------------------------------------------------