TSTP Solution File: ITP085^1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP085^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 0.21s 0.55s
% Output : CNFRefutation 0.21s
% 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_Secrets: $tType ).
thf(decl_sort4,type,
list_S529945141ession: $tType ).
thf(decl_sort5,type,
secrecy_specID: $tType ).
thf(decl_33,type,
knowle945212990e_know: secrecy_specID > secrecy_KS > $o ).
thf(decl_34,type,
knowle731562421_knows: secrecy_specID > list_S529945141ession > $o ).
thf(decl_61,type,
cons_S112077679ession: secrecy_Expression > list_S529945141ession > list_S529945141ession ).
thf(decl_67,type,
nil_Se901661471ession: list_S529945141ession ).
thf(decl_122,type,
secrecy_sE: secrecy_Secrets > secrecy_Expression ).
thf(decl_123,type,
secrec1016742679ession: secrecy_KS > secrecy_Expression ).
thf(decl_125,type,
secrecy_sKS: secrecy_Secrets > secrecy_KS ).
thf(decl_137,type,
a: secrecy_specID ).
thf(decl_138,type,
m: secrecy_Secrets ).
thf(fact_3_know1s,axiom,
! [X5: secrecy_specID,X6: secrecy_Secrets] :
( ( knowle731562421_knows @ X5 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_sKS @ X6 ) ) @ nil_Se901661471ession ) )
<=> ( knowle945212990e_know @ X5 @ ( secrecy_sKS @ X6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_know1s) ).
thf(fact_7_KS2Expression_Osimps_I2_J,axiom,
! [X4: secrecy_Secrets] :
( ( secrec1016742679ession @ ( secrecy_sKS @ X4 ) )
= ( secrecy_sE @ X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_KS2Expression_Osimps_I2_J) ).
thf(conj_0,conjecture,
knowle945212990e_know @ a @ ( secrecy_sKS @ m ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(fact_0_assms,axiom,
knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_sE @ m ) @ nil_Se901661471ession ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms) ).
thf(c_0_4,plain,
! [X1000: secrecy_specID,X1001: secrecy_Secrets] :
( ( ~ ( knowle731562421_knows @ X1000 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_sKS @ X1001 ) ) @ nil_Se901661471ession ) )
| ( knowle945212990e_know @ X1000 @ ( secrecy_sKS @ X1001 ) ) )
& ( ~ ( knowle945212990e_know @ X1000 @ ( secrecy_sKS @ X1001 ) )
| ( knowle731562421_knows @ X1000 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_sKS @ X1001 ) ) @ nil_Se901661471ession ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_3_know1s])])]) ).
thf(c_0_5,plain,
! [X1006: secrecy_Secrets] :
( ( secrec1016742679ession @ ( secrecy_sKS @ X1006 ) )
= ( secrecy_sE @ X1006 ) ),
inference(variable_rename,[status(thm)],[fact_7_KS2Expression_Osimps_I2_J]) ).
thf(c_0_6,negated_conjecture,
~ ( knowle945212990e_know @ a @ ( secrecy_sKS @ m ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
thf(c_0_7,plain,
! [X3: secrecy_specID,X1: secrecy_Secrets] :
( ( knowle945212990e_know @ X3 @ ( secrecy_sKS @ X1 ) )
| ~ ( knowle731562421_knows @ X3 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_sKS @ X1 ) ) @ nil_Se901661471ession ) ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_8,plain,
! [X1: secrecy_Secrets] :
( ( secrec1016742679ession @ ( secrecy_sKS @ X1 ) )
= ( secrecy_sE @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,negated_conjecture,
~ ( knowle945212990e_know @ a @ ( secrecy_sKS @ m ) ),
inference(fof_nnf,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
! [X3: secrecy_specID,X1: secrecy_Secrets] :
( ( knowle945212990e_know @ X3 @ ( secrecy_sKS @ X1 ) )
| ~ ( knowle731562421_knows @ X3 @ ( cons_S112077679ession @ ( secrecy_sE @ X1 ) @ nil_Se901661471ession ) ) ),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_11,plain,
knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_sE @ m ) @ nil_Se901661471ession ),
inference(split_conjunct,[status(thm)],[fact_0_assms]) ).
thf(c_0_12,negated_conjecture,
~ ( knowle945212990e_know @ a @ ( secrecy_sKS @ 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
% 0.00/0.12 % Problem : ITP085^1 : TPTP v8.2.0. Released v7.5.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 17:01:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running higher-order theorem proving
% 0.21/0.48 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/benchmark/theBenchmark.p
% 0.21/0.55 # Version: 3.1.0-ho
% 0.21/0.55 # Preprocessing class: HSLMSMSMSSMNHFA.
% 0.21/0.55 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55 # Starting full_lambda_6 with 1200s (4) cores
% 0.21/0.55 # Starting additional_ho_6 with 300s (1) cores
% 0.21/0.55 # Starting new_ho_9 with 300s (1) cores
% 0.21/0.55 # Starting full_lambda_3 with 300s (1) cores
% 0.21/0.55 # Starting post_as_ho6 with 300s (1) cores
% 0.21/0.55 # additional_ho_6 with pid 15097 completed with status 0
% 0.21/0.55 # Result found by additional_ho_6
% 0.21/0.55 # Preprocessing class: HSLMSMSMSSMNHFA.
% 0.21/0.55 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55 # Starting full_lambda_6 with 1200s (4) cores
% 0.21/0.55 # Starting additional_ho_6 with 300s (1) cores
% 0.21/0.55 # SinE strategy is GSinE(CountFormulas,hypos,4.0,,2,20000,1.0)
% 0.21/0.55 # Search class: HGHSM-FSLF31-MHFFFSBN
% 0.21/0.55 # partial match(1): HGHSM-FSLM31-MHFFFSBN
% 0.21/0.55 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.55 # Starting new_ho_10 with 181s (1) cores
% 0.21/0.55 # new_ho_10 with pid 15103 completed with status 0
% 0.21/0.55 # Result found by new_ho_10
% 0.21/0.55 # Preprocessing class: HSLMSMSMSSMNHFA.
% 0.21/0.55 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55 # Starting full_lambda_6 with 1200s (4) cores
% 0.21/0.55 # Starting additional_ho_6 with 300s (1) cores
% 0.21/0.55 # SinE strategy is GSinE(CountFormulas,hypos,4.0,,2,20000,1.0)
% 0.21/0.55 # Search class: HGHSM-FSLF31-MHFFFSBN
% 0.21/0.55 # partial match(1): HGHSM-FSLM31-MHFFFSBN
% 0.21/0.55 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.55 # Starting new_ho_10 with 181s (1) cores
% 0.21/0.55 # Preprocessing time : 0.004 s
% 0.21/0.55 # Presaturation interreduction done
% 0.21/0.55
% 0.21/0.55 # Proof found!
% 0.21/0.55 # SZS status Theorem
% 0.21/0.55 # SZS output start CNFRefutation
% See solution above
% 0.21/0.55 # Parsed axioms : 489
% 0.21/0.55 # Removed by relevancy pruning/SinE : 418
% 0.21/0.55 # Initial clauses : 149
% 0.21/0.55 # Removed in clause preprocessing : 6
% 0.21/0.55 # Initial clauses in saturation : 143
% 0.21/0.55 # Processed clauses : 175
% 0.21/0.55 # ...of these trivial : 3
% 0.21/0.55 # ...subsumed : 19
% 0.21/0.55 # ...remaining for further processing : 153
% 0.21/0.55 # Other redundant clauses eliminated : 27
% 0.21/0.55 # Clauses deleted for lack of memory : 0
% 0.21/0.55 # Backward-subsumed : 0
% 0.21/0.55 # Backward-rewritten : 0
% 0.21/0.55 # Generated clauses : 39
% 0.21/0.55 # ...of the previous two non-redundant : 10
% 0.21/0.55 # ...aggressively subsumed : 0
% 0.21/0.55 # Contextual simplify-reflections : 0
% 0.21/0.55 # Paramodulations : 13
% 0.21/0.55 # Factorizations : 0
% 0.21/0.55 # NegExts : 0
% 0.21/0.55 # Equation resolutions : 33
% 0.21/0.55 # Disequality decompositions : 0
% 0.21/0.55 # Total rewrite steps : 20
% 0.21/0.55 # ...of those cached : 11
% 0.21/0.55 # Propositional unsat checks : 0
% 0.21/0.55 # Propositional check models : 0
% 0.21/0.55 # Propositional check unsatisfiable : 0
% 0.21/0.55 # Propositional clauses : 0
% 0.21/0.55 # Propositional clauses after purity: 0
% 0.21/0.55 # Propositional unsat core size : 0
% 0.21/0.55 # Propositional preprocessing time : 0.000
% 0.21/0.55 # Propositional encoding time : 0.000
% 0.21/0.55 # Propositional solver time : 0.000
% 0.21/0.55 # Success case prop preproc time : 0.000
% 0.21/0.55 # Success case prop encoding time : 0.000
% 0.21/0.55 # Success case prop solver time : 0.000
% 0.21/0.55 # Current number of processed clauses : 26
% 0.21/0.55 # Positive orientable unit clauses : 7
% 0.21/0.55 # Positive unorientable unit clauses: 0
% 0.21/0.55 # Negative unit clauses : 5
% 0.21/0.55 # Non-unit-clauses : 14
% 0.21/0.55 # Current number of unprocessed clauses: 88
% 0.21/0.55 # ...number of literals in the above : 308
% 0.21/0.55 # Current number of archived formulas : 0
% 0.21/0.55 # Current number of archived clauses : 110
% 0.21/0.55 # Clause-clause subsumption calls (NU) : 1623
% 0.21/0.55 # Rec. Clause-clause subsumption calls : 667
% 0.21/0.55 # Non-unit clause-clause subsumptions : 21
% 0.21/0.55 # Unit Clause-clause subsumption calls : 15
% 0.21/0.55 # Rewrite failures with RHS unbound : 0
% 0.21/0.55 # BW rewrite match attempts : 0
% 0.21/0.55 # BW rewrite match successes : 0
% 0.21/0.55 # Condensation attempts : 175
% 0.21/0.55 # Condensation successes : 4
% 0.21/0.55 # Termbank termtop insertions : 20328
% 0.21/0.55 # Search garbage collected termcells : 7577
% 0.21/0.55
% 0.21/0.55 # -------------------------------------------------
% 0.21/0.55 # User time : 0.025 s
% 0.21/0.55 # System time : 0.010 s
% 0.21/0.55 # Total time : 0.034 s
% 0.21/0.55 # Maximum resident set size: 3624 pages
% 0.21/0.55
% 0.21/0.55 # -------------------------------------------------
% 0.21/0.55 # User time : 0.047 s
% 0.21/0.55 # System time : 0.013 s
% 0.21/0.55 # Total time : 0.060 s
% 0.21/0.55 # Maximum resident set size: 2812 pages
% 0.21/0.55 % E---3.1 exiting
% 0.21/0.55 % E exiting
%------------------------------------------------------------------------------