%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP091^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:04:20 AM UTC 2026
% Result : Theorem 0.23s 0.31s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 2 equ; 0 cnn)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 96 ( 12 ~; 7 |; 2 &; 74 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 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_Secrets: $tType ).
thf(decl_23,type,
localSecrets: secrecy_specID > set_Secrecy_KS ).
thf(decl_25,type,
knowle945212990e_know: secrecy_specID > secrecy_KS > $o ).
thf(decl_47,type,
ine: secrecy_specID > secrecy_Expression > $o ).
thf(decl_58,type,
secrecy_sE: secrecy_Secrets > secrecy_Expression ).
thf(decl_61,type,
secrecy_sKS: secrecy_Secrets > secrecy_KS ).
thf(decl_91,type,
member_Secrecy_KS: secrecy_KS > set_Secrecy_KS > $o ).
thf(decl_98,type,
q: secrecy_specID ).
thf(decl_99,type,
m: secrecy_KS ).
thf(decl_100,type,
secret: secrecy_Secrets ).
thf(conj_0,conjecture,
~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ q ) ),
file('/export/starexec/sandbox2/tmp/tmp.GKkRa1KIAY/E---3.1_1734938.p',conj_0) ).
thf(fact_0_not__knowQm,axiom,
~ ( knowle945212990e_know @ q @ m ),
file('/export/starexec/sandbox2/tmp/tmp.GKkRa1KIAY/E---3.1_1734938.p',fact_0_not__knowQm) ).
thf(fact_8_know_Osimps_I2_J,axiom,
! [X3: secrecy_specID,X4: secrecy_Secrets] :
( ( knowle945212990e_know @ X3 @ ( secrecy_sKS @ X4 ) )
<=> ( ( ine @ X3 @ ( secrecy_sE @ X4 ) )
| ( member_Secrecy_KS @ ( secrecy_sKS @ X4 ) @ ( localSecrets @ X3 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.GKkRa1KIAY/E---3.1_1734938.p',fact_8_know_Osimps_I2_J) ).
thf(fact_1_a2,axiom,
( m
= ( secrecy_sKS @ secret ) ),
file('/export/starexec/sandbox2/tmp/tmp.GKkRa1KIAY/E---3.1_1734938.p',fact_1_a2) ).
thf(c_0_4,negated_conjecture,
~ ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ q ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_5,plain,
~ ( knowle945212990e_know @ q @ m ),
inference(fof_simplification,[status(thm)],[fact_0_not__knowQm]) ).
thf(c_0_6,plain,
! [X1255: secrecy_specID,X1256: secrecy_Secrets] :
( ( ~ ( knowle945212990e_know @ X1255 @ ( secrecy_sKS @ X1256 ) )
| ( ine @ X1255 @ ( secrecy_sE @ X1256 ) )
| ( member_Secrecy_KS @ ( secrecy_sKS @ X1256 ) @ ( localSecrets @ X1255 ) ) )
& ( ~ ( ine @ X1255 @ ( secrecy_sE @ X1256 ) )
| ( knowle945212990e_know @ X1255 @ ( secrecy_sKS @ X1256 ) ) )
& ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X1256 ) @ ( localSecrets @ X1255 ) )
| ( knowle945212990e_know @ X1255 @ ( secrecy_sKS @ X1256 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_8_know_Osimps_I2_J])])])]) ).
thf(c_0_7,negated_conjecture,
member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ q ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
thf(c_0_8,plain,
~ ( knowle945212990e_know @ q @ m ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
! [X1: secrecy_Secrets,X3: secrecy_specID] :
( ( knowle945212990e_know @ X3 @ ( secrecy_sKS @ X1 ) )
| ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X1 ) @ ( localSecrets @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
( m
= ( secrecy_sKS @ secret ) ),
inference(split_conjunct,[status(thm)],[fact_1_a2]) ).
thf(c_0_11,negated_conjecture,
member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ q ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_12,plain,
~ ( knowle945212990e_know @ q @ m ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_13,plain,
! [X3: secrecy_specID] :
( ( knowle945212990e_know @ X3 @ m )
| ~ ( member_Secrecy_KS @ m @ ( localSecrets @ X3 ) ) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_14,negated_conjecture,
member_Secrecy_KS @ m @ ( localSecrets @ q ),
inference(rw,[status(thm)],[c_0_11,c_0_10]) ).
thf(c_0_15,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP091^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n001.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 19:58:06 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.07/0.25 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/tmp/tmp.GKkRa1KIAY/E---3.1_1734938.p
% 0.23/0.31 % Version: 3.5.1-ho
% 0.23/0.31 % Preprocessing class: HSLSSMSMSSMNSFA.
% 0.23/0.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.31 % Starting new_ho_3 with 1500s (5) cores
% 0.23/0.31 % Starting pre_casc_2 with 300s (1) cores
% 0.23/0.31 % Starting additional_ho_7 with 300s (1) cores
% 0.23/0.31 % Starting lpo8_s with 300s (1) cores
% 0.23/0.31 % additional_ho_7 with pid 1734953 completed with status 0
% 0.23/0.31 % Result found by additional_ho_7
% 0.23/0.31 % Preprocessing class: HSLSSMSMSSMNSFA.
% 0.23/0.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.31 % Starting new_ho_3 with 1500s (5) cores
% 0.23/0.31 % Starting pre_casc_2 with 300s (1) cores
% 0.23/0.31 % Starting additional_ho_7 with 300s (1) cores
% 0.23/0.31 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4.0,,2,20000,1.0))
% 0.23/0.31 % SinE strategy is GSinE(CountFormulas,hypos,4.0,,2,20000,1.0)
% 0.23/0.31 % Search class: HGHSM-FSLM32-SSFFFFBN
% 0.23/0.31 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.31 % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.31 % SubtermCWHack with pid 1734955 completed with status 0
% 0.23/0.31 % Result found by SubtermCWHack
% 0.23/0.31 % Preprocessing class: HSLSSMSMSSMNSFA.
% 0.23/0.31 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.31 % Starting new_ho_3 with 1500s (5) cores
% 0.23/0.31 % Starting pre_casc_2 with 300s (1) cores
% 0.23/0.31 % Starting additional_ho_7 with 300s (1) cores
% 0.23/0.31 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4.0,,2,20000,1.0))
% 0.23/0.31 % SinE strategy is GSinE(CountFormulas,hypos,4.0,,2,20000,1.0)
% 0.23/0.31 % Search class: HGHSM-FSLM32-SSFFFFBN
% 0.23/0.31 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.31 % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.31 % Preprocessing time : 0.007 s
% 0.23/0.31
% 0.23/0.31 % Proof found!
% 0.23/0.31 % SZS status Theorem
% 0.23/0.31 % SZS output start CNFRefutation
% See solution above
% 0.23/0.31 % Parsed axioms : 447
% 0.23/0.31 % Removed by relevancy pruning/SinE : 246
% 0.23/0.31 % Initial clauses : 403
% 0.23/0.31 % Removed in clause preprocessing : 18
% 0.23/0.31 % Initial clauses in saturation : 385
% 0.23/0.31 % Processed clauses : 166
% 0.23/0.31 % ...of these trivial : 5
% 0.23/0.31 % ...subsumed : 55
% 0.23/0.31 % ...remaining for further processing : 106
% 0.23/0.31 % Other redundant clauses eliminated : 33
% 0.23/0.31 % Clauses deleted for lack of memory : 0
% 0.23/0.31 % Backward-subsumed : 0
% 0.23/0.31 % Backward-rewritten : 4
% 0.23/0.31 % Generated clauses : 122
% 0.23/0.31 % ...of the previous two non-redundant : 66
% 0.23/0.31 % ...aggressively subsumed : 0
% 0.23/0.31 % Contextual simplify-reflections : 0
% 0.23/0.31 % Paramodulations : 89
% 0.23/0.31 % Factorizations : 0
% 0.23/0.31 % NegExts : 0
% 0.23/0.31 % Equation resolutions : 38
% 0.23/0.31 % Disequality decompositions : 0
% 0.23/0.31 % Total rewrite steps : 46
% 0.23/0.31 % ...of those cached : 25
% 0.23/0.31 % Propositional unsat checks : 0
% 0.23/0.31 % Propositional check models : 0
% 0.23/0.31 % Propositional check unsatisfiable : 0
% 0.23/0.31 % Propositional clauses : 0
% 0.23/0.31 % Propositional clauses after purity: 0
% 0.23/0.31 % Propositional unsat core size : 0
% 0.23/0.31 % Propositional preprocessing time : 0.000
% 0.23/0.31 % Propositional encoding time : 0.000
% 0.23/0.31 % Propositional solver time : 0.000
% 0.23/0.31 % Success case prop preproc time : 0.000
% 0.23/0.31 % Success case prop encoding time : 0.000
% 0.23/0.31 % Success case prop solver time : 0.000
% 0.23/0.31 % Current number of processed clauses : 78
% 0.23/0.31 % Positive orientable unit clauses : 22
% 0.23/0.31 % Positive unorientable unit clauses: 1
% 0.23/0.31 % Negative unit clauses : 9
% 0.23/0.31 % Non-unit-clauses : 46
% 0.23/0.31 % Current number of unprocessed clauses: 281
% 0.23/0.31 % ...number of literals in the above : 1297
% 0.23/0.31 % Current number of archived formulas : 0
% 0.23/0.31 % Current number of archived clauses : 4
% 0.23/0.31 % Clause-clause subsumption calls (NU) : 165
% 0.23/0.31 % Rec. Clause-clause subsumption calls : 165
% 0.23/0.31 % Non-unit clause-clause subsumptions : 35
% 0.23/0.31 % Unit Clause-clause subsumption calls : 61
% 0.23/0.31 % Rewrite failures with RHS unbound : 0
% 0.23/0.31 % BW rewrite match attempts : 13
% 0.23/0.31 % BW rewrite match successes : 10
% 0.23/0.31 % Condensation attempts : 0
% 0.23/0.31 % Condensation successes : 0
% 0.23/0.31 % Termbank termtop insertions : 45011
% 0.23/0.31 % Search garbage collected termcells : 13405
% 0.23/0.31
% 0.23/0.31 % -------------------------------------------------
% 0.23/0.31 % User time : 0.028 s
% 0.23/0.31 % System time : 0.006 s
% 0.23/0.31 % Total time : 0.034 s
% 0.23/0.31 % Maximum resident set size: 6404 pages
% 0.23/0.31
% 0.23/0.31 % -------------------------------------------------
% 0.23/0.31 % User time : 0.042 s
% 0.23/0.31 % System time : 0.013 s
% 0.23/0.31 % Total time : 0.055 s
% 0.23/0.31 % Maximum resident set size: 5888 pages
% 0.23/0.31 % E exiting
%------------------------------------------------------------------------------