%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP087^1 : 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 : n012.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 08:04:19 AM UTC 2026
% Result : Theorem 4.04s 0.73s
% Output : CNFRefutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 6 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 141 ( 20 ~; 13 |; 0 &; 105 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 14 ( 0 ^; 14 !; 0 ?; 14 :)
% 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,
set_Secrecy_specID: $tType ).
thf(decl_41,type,
bot_bo1785112429specID: set_Secrecy_specID ).
thf(decl_43,type,
correctCompositionKS: secrecy_specID > $o ).
thf(decl_56,type,
specKeysSecrets: secrecy_specID > set_Secrecy_KS ).
thf(decl_72,type,
insert1671894227specID: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(decl_90,type,
subcomponents: secrecy_specID > set_Secrecy_specID ).
thf(decl_91,type,
member_Secrecy_KS: secrecy_KS > set_Secrecy_KS > $o ).
thf(decl_96,type,
p: secrecy_specID ).
thf(decl_97,type,
pq: secrecy_specID ).
thf(decl_98,type,
q: secrecy_specID ).
thf(decl_100,type,
m: secrecy_KS ).
thf(fact_7_correctCompositionKS__PQ,axiom,
! [X1: secrecy_specID,X2: secrecy_specID,X3: secrecy_specID,X4: secrecy_KS] :
( ( ( subcomponents @ X1 )
= ( insert1671894227specID @ X2 @ ( insert1671894227specID @ X3 @ bot_bo1785112429specID ) ) )
=> ( ( correctCompositionKS @ X1 )
=> ( ( member_Secrecy_KS @ X4 @ ( specKeysSecrets @ X1 ) )
=> ( ( member_Secrecy_KS @ X4 @ ( specKeysSecrets @ X2 ) )
| ( member_Secrecy_KS @ X4 @ ( specKeysSecrets @ X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9IiQlM7mn3/E---3.1_600048.p',fact_7_correctCompositionKS__PQ) ).
thf(conj_0,conjecture,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ pq ) ),
file('/export/starexec/sandbox2/tmp/tmp.9IiQlM7mn3/E---3.1_600048.p',conj_0) ).
thf(fact_2_notKSP,axiom,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) ),
file('/export/starexec/sandbox2/tmp/tmp.9IiQlM7mn3/E---3.1_600048.p',fact_2_notKSP) ).
thf(fact_1_notKSQ,axiom,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ q ) ),
file('/export/starexec/sandbox2/tmp/tmp.9IiQlM7mn3/E---3.1_600048.p',fact_1_notKSQ) ).
thf(fact_3_subPQ,axiom,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9IiQlM7mn3/E---3.1_600048.p',fact_3_subPQ) ).
thf(fact_0_cCompKS,axiom,
correctCompositionKS @ pq,
file('/export/starexec/sandbox2/tmp/tmp.9IiQlM7mn3/E---3.1_600048.p',fact_0_cCompKS) ).
thf(c_0_6,plain,
! [X1400: secrecy_specID,X1401: secrecy_specID,X1402: secrecy_specID,X1403: secrecy_KS] :
( ( ( subcomponents @ X1400 )
!= ( insert1671894227specID @ X1401 @ ( insert1671894227specID @ X1402 @ bot_bo1785112429specID ) ) )
| ~ ( correctCompositionKS @ X1400 )
| ~ ( member_Secrecy_KS @ X1403 @ ( specKeysSecrets @ X1400 ) )
| ( member_Secrecy_KS @ X1403 @ ( specKeysSecrets @ X1401 ) )
| ( member_Secrecy_KS @ X1403 @ ( specKeysSecrets @ X1402 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_7_correctCompositionKS__PQ])])]) ).
thf(c_0_7,negated_conjecture,
~ ~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ pq ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_8,plain,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) ),
inference(fof_simplification,[status(thm)],[fact_2_notKSP]) ).
thf(c_0_9,plain,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ q ) ),
inference(fof_simplification,[status(thm)],[fact_1_notKSQ]) ).
thf(c_0_10,plain,
! [X3: secrecy_specID,X4: secrecy_KS,X2: secrecy_specID,X1: secrecy_specID] :
( ( member_Secrecy_KS @ X4 @ ( specKeysSecrets @ X2 ) )
| ( member_Secrecy_KS @ X4 @ ( specKeysSecrets @ X3 ) )
| ( ( subcomponents @ X1 )
!= ( insert1671894227specID @ X2 @ ( insert1671894227specID @ X3 @ bot_bo1785112429specID ) ) )
| ~ ( correctCompositionKS @ X1 )
| ~ ( member_Secrecy_KS @ X4 @ ( specKeysSecrets @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_11,plain,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
inference(split_conjunct,[status(thm)],[fact_3_subPQ]) ).
thf(c_0_12,negated_conjecture,
member_Secrecy_KS @ m @ ( specKeysSecrets @ pq ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
thf(c_0_13,plain,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) ),
inference(fof_nnf,[status(thm)],[c_0_8]) ).
thf(c_0_14,plain,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ q ) ),
inference(fof_nnf,[status(thm)],[c_0_9]) ).
thf(c_0_15,plain,
! [X4: secrecy_KS,X1: secrecy_specID] :
( ( member_Secrecy_KS @ X4 @ ( specKeysSecrets @ p ) )
| ( member_Secrecy_KS @ X4 @ ( specKeysSecrets @ q ) )
| ( ( subcomponents @ X1 )
!= ( subcomponents @ pq ) )
| ~ ( member_Secrecy_KS @ X4 @ ( specKeysSecrets @ X1 ) )
| ~ ( correctCompositionKS @ X1 ) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_16,negated_conjecture,
member_Secrecy_KS @ m @ ( specKeysSecrets @ pq ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_17,plain,
correctCompositionKS @ pq,
inference(split_conjunct,[status(thm)],[fact_0_cCompKS]) ).
thf(c_0_18,plain,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_19,plain,
~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ q ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),c_0_18]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP087^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Sep 29 19:50:03 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.13 Running higher-order theorem proving
% 0.08/0.16 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.9IiQlM7mn3/E---3.1_600048.p
% 4.04/0.73 % Version: 3.5.1-ho
% 4.04/0.73 % Preprocessing class: HSLSSMSMSSMNSFA.
% 4.04/0.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.04/0.73 % Starting new_ho_3 with 1500s (5) cores
% 4.04/0.73 % Starting pre_casc_2 with 300s (1) cores
% 4.04/0.73 % Starting additional_ho_7 with 300s (1) cores
% 4.04/0.73 % Starting lpo8_s with 300s (1) cores
% 4.04/0.73 % new_ho_3 with pid 600084 completed with status 0
% 4.04/0.73 % Result found by new_ho_3
% 4.04/0.73 % Preprocessing class: HSLSSMSMSSMNSFA.
% 4.04/0.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.04/0.73 % Starting new_ho_3 with 1500s (5) cores
% 4.04/0.73 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 4.04/0.73 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 4.04/0.73 % Search class: HGHSM-FSLM32-SSFFFFBN
% 4.04/0.73 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.04/0.73 % Starting SubtermCWHack with 136s (1) cores
% 4.04/0.73 % Starting new_ho_3 with 151s (1) cores
% 4.04/0.73 % Starting additional_ho_5 with 136s (1) cores
% 4.04/0.73 % Starting new_bool_1 with 136s (1) cores
% 4.04/0.73 % Starting new_bool_4 with 136s (1) cores
% 4.04/0.73 % new_ho_3 with pid 600097 completed with status 0
% 4.04/0.73 % Result found by new_ho_3
% 4.04/0.73 % Preprocessing class: HSLSSMSMSSMNSFA.
% 4.04/0.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.04/0.73 % Starting new_ho_3 with 1500s (5) cores
% 4.04/0.73 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 4.04/0.73 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 4.04/0.73 % Search class: HGHSM-FSLM32-SSFFFFBN
% 4.04/0.73 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.04/0.73 % Starting SubtermCWHack with 136s (1) cores
% 4.04/0.73 % Starting new_ho_3 with 151s (1) cores
% 4.04/0.73 % Preprocessing time : 0.007 s
% 4.04/0.73 % Presaturation interreduction done
% 4.04/0.73
% 4.04/0.73 % Proof found!
% 4.04/0.73 % SZS status Theorem
% 4.04/0.73 % SZS output start CNFRefutation
% See solution above
% 4.04/0.73 % Parsed axioms : 447
% 4.04/0.73 % Removed by relevancy pruning/SinE : 149
% 4.04/0.73 % Initial clauses : 621
% 4.04/0.73 % Removed in clause preprocessing : 25
% 4.04/0.73 % Initial clauses in saturation : 596
% 4.04/0.73 % Processed clauses : 6560
% 4.04/0.73 % ...of these trivial : 115
% 4.04/0.73 % ...subsumed : 4559
% 4.04/0.73 % ...remaining for further processing : 1886
% 4.04/0.73 % Other redundant clauses eliminated : 257
% 4.04/0.73 % Clauses deleted for lack of memory : 0
% 4.04/0.73 % Backward-subsumed : 67
% 4.04/0.73 % Backward-rewritten : 10
% 4.04/0.73 % Generated clauses : 24887
% 4.04/0.73 % ...of the previous two non-redundant : 22287
% 4.04/0.73 % ...aggressively subsumed : 0
% 4.04/0.73 % Contextual simplify-reflections : 25
% 4.04/0.73 % Paramodulations : 24630
% 4.04/0.73 % Factorizations : 21
% 4.04/0.73 % NegExts : 0
% 4.04/0.73 % Equation resolutions : 274
% 4.04/0.73 % Disequality decompositions : 0
% 4.04/0.73 % Total rewrite steps : 11460
% 4.04/0.73 % ...of those cached : 10564
% 4.04/0.73 % Propositional unsat checks : 0
% 4.04/0.73 % Propositional check models : 0
% 4.04/0.73 % Propositional check unsatisfiable : 0
% 4.04/0.73 % Propositional clauses : 0
% 4.04/0.73 % Propositional clauses after purity: 0
% 4.04/0.73 % Propositional unsat core size : 0
% 4.04/0.73 % Propositional preprocessing time : 0.000
% 4.04/0.73 % Propositional encoding time : 0.000
% 4.04/0.73 % Propositional solver time : 0.000
% 4.04/0.73 % Success case prop preproc time : 0.000
% 4.04/0.73 % Success case prop encoding time : 0.000
% 4.04/0.73 % Success case prop solver time : 0.000
% 4.04/0.73 % Current number of processed clauses : 1361
% 4.04/0.73 % Positive orientable unit clauses : 83
% 4.04/0.73 % Positive unorientable unit clauses: 11
% 4.04/0.73 % Negative unit clauses : 41
% 4.04/0.73 % Non-unit-clauses : 1226
% 4.04/0.73 % Current number of unprocessed clauses: 16404
% 4.04/0.73 % ...number of literals in the above : 57565
% 4.04/0.73 % Current number of archived formulas : 0
% 4.04/0.73 % Current number of archived clauses : 441
% 4.04/0.73 % Clause-clause subsumption calls (NU) : 465526
% 4.04/0.73 % Rec. Clause-clause subsumption calls : 267778
% 4.04/0.73 % Non-unit clause-clause subsumptions : 3784
% 4.04/0.73 % Unit Clause-clause subsumption calls : 6938
% 4.04/0.73 % Rewrite failures with RHS unbound : 0
% 4.04/0.73 % BW rewrite match attempts : 169
% 4.04/0.73 % BW rewrite match successes : 121
% 4.04/0.73 % Condensation attempts : 6560
% 4.04/0.73 % Condensation successes : 27
% 4.04/0.73 % Termbank termtop insertions : 385585
% 4.04/0.73 % Search garbage collected termcells : 16013
% 4.04/0.73
% 4.04/0.73 % -------------------------------------------------
% 4.04/0.73 % User time : 0.524 s
% 4.04/0.73 % System time : 0.025 s
% 4.04/0.73 % Total time : 0.549 s
% 4.04/0.73 % Maximum resident set size: 6832 pages
% 4.04/0.73
% 4.04/0.73 % -------------------------------------------------
% 4.04/0.73 % User time : 2.489 s
% 4.04/0.73 % System time : 0.108 s
% 4.04/0.73 % Total time : 2.597 s
% 4.04/0.73 % Maximum resident set size: 5632 pages
% 4.04/0.73 % E exiting
%------------------------------------------------------------------------------