%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP088^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 1.48s 0.42s
% Output : CNFRefutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 47 ( 6 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 171 ( 28 ~; 15 |; 0 &; 123 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 22 ( 0 ^; 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
secrecy_specID: $tType ).
thf(decl_sort2,type,
secrecy_KS: $tType ).
thf(decl_sort3,type,
set_Secrecy_specID: $tType ).
thf(decl_sort4,type,
secrecy_Expression: $tType ).
thf(decl_sort5,type,
secrecy_Keys: $tType ).
thf(decl_25,type,
knowle945212990e_know: secrecy_specID > secrecy_KS > $o ).
thf(decl_41,type,
bot_bo1785112429specID: set_Secrecy_specID ).
thf(decl_47,type,
ine: secrecy_specID > secrecy_Expression > $o ).
thf(decl_59,type,
secrecy_kE: secrecy_Keys > secrecy_Expression ).
thf(decl_62,type,
secrecy_kKS: secrecy_Keys > secrecy_KS ).
thf(decl_73,type,
insert1671894227specID: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(decl_81,type,
correctCompositionIn: secrecy_specID > $o ).
thf(decl_90,type,
subcomponents: secrecy_specID > set_Secrecy_specID ).
thf(decl_96,type,
p: secrecy_specID ).
thf(decl_97,type,
pq: secrecy_specID ).
thf(decl_98,type,
q: secrecy_specID ).
thf(decl_99,type,
key: secrecy_Keys ).
thf(fact_2_assms_I1_J,axiom,
~ ( knowle945212990e_know @ p @ ( secrecy_kKS @ key ) ),
file('/export/starexec/sandbox/tmp/tmp.XdNpirD9pH/E---3.1_600600.p',fact_2_assms_I1_J) ).
thf(fact_5_not__know__k__not__ine,axiom,
! [X3: secrecy_specID,X4: secrecy_Keys] :
( ~ ( knowle945212990e_know @ X3 @ ( secrecy_kKS @ X4 ) )
=> ~ ( ine @ X3 @ ( secrecy_kE @ X4 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.XdNpirD9pH/E---3.1_600600.p',fact_5_not__know__k__not__ine) ).
thf(fact_1_assms_I2_J,axiom,
~ ( knowle945212990e_know @ q @ ( secrecy_kKS @ key ) ),
file('/export/starexec/sandbox/tmp/tmp.XdNpirD9pH/E---3.1_600600.p',fact_1_assms_I2_J) ).
thf(fact_35_TBtheorem1a,axiom,
! [X22: secrecy_specID,X9: secrecy_Expression,X7: secrecy_specID,X12: secrecy_specID] :
( ( ine @ X22 @ X9 )
=> ( ( ( subcomponents @ X22 )
= ( insert1671894227specID @ X7 @ ( insert1671894227specID @ X12 @ bot_bo1785112429specID ) ) )
=> ( ( correctCompositionIn @ X22 )
=> ( ( ine @ X7 @ X9 )
| ( ine @ X12 @ X9 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.XdNpirD9pH/E---3.1_600600.p',fact_35_TBtheorem1a) ).
thf(conj_0,conjecture,
~ ( ine @ pq @ ( secrecy_kE @ key ) ),
file('/export/starexec/sandbox/tmp/tmp.XdNpirD9pH/E---3.1_600600.p',conj_0) ).
thf(fact_3_assms_I3_J,axiom,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
file('/export/starexec/sandbox/tmp/tmp.XdNpirD9pH/E---3.1_600600.p',fact_3_assms_I3_J) ).
thf(fact_0_assms_I4_J,axiom,
correctCompositionIn @ pq,
file('/export/starexec/sandbox/tmp/tmp.XdNpirD9pH/E---3.1_600600.p',fact_0_assms_I4_J) ).
thf(c_0_7,plain,
~ ( knowle945212990e_know @ p @ ( secrecy_kKS @ key ) ),
inference(fof_simplification,[status(thm)],[fact_2_assms_I1_J]) ).
thf(c_0_8,plain,
! [X3: secrecy_specID,X4: secrecy_Keys] :
( ~ ( knowle945212990e_know @ X3 @ ( secrecy_kKS @ X4 ) )
=> ~ ( ine @ X3 @ ( secrecy_kE @ X4 ) ) ),
inference(fof_simplification,[status(thm)],[fact_5_not__know__k__not__ine]) ).
thf(c_0_9,plain,
~ ( knowle945212990e_know @ q @ ( secrecy_kKS @ key ) ),
inference(fof_simplification,[status(thm)],[fact_1_assms_I2_J]) ).
thf(c_0_10,plain,
! [X1488: secrecy_specID,X1489: secrecy_Expression,X1490: secrecy_specID,X1491: secrecy_specID] :
( ~ ( ine @ X1488 @ X1489 )
| ( ( subcomponents @ X1488 )
!= ( insert1671894227specID @ X1490 @ ( insert1671894227specID @ X1491 @ bot_bo1785112429specID ) ) )
| ~ ( correctCompositionIn @ X1488 )
| ( ine @ X1490 @ X1489 )
| ( ine @ X1491 @ X1489 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_35_TBtheorem1a])])]) ).
thf(c_0_11,negated_conjecture,
~ ~ ( ine @ pq @ ( secrecy_kE @ key ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_12,plain,
~ ( knowle945212990e_know @ p @ ( secrecy_kKS @ key ) ),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
thf(c_0_13,plain,
! [X1457: secrecy_specID,X1458: secrecy_Keys] :
( ( knowle945212990e_know @ X1457 @ ( secrecy_kKS @ X1458 ) )
| ~ ( ine @ X1457 @ ( secrecy_kE @ X1458 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
thf(c_0_14,plain,
~ ( knowle945212990e_know @ q @ ( secrecy_kKS @ key ) ),
inference(fof_nnf,[status(thm)],[c_0_9]) ).
thf(c_0_15,plain,
! [X9: secrecy_Expression,X7: secrecy_specID,X5: secrecy_specID,X3: secrecy_specID] :
( ( ine @ X5 @ X9 )
| ( ine @ X7 @ X9 )
| ~ ( ine @ X3 @ X9 )
| ( ( subcomponents @ X3 )
!= ( insert1671894227specID @ X5 @ ( insert1671894227specID @ X7 @ bot_bo1785112429specID ) ) )
| ~ ( correctCompositionIn @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_16,plain,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
inference(split_conjunct,[status(thm)],[fact_3_assms_I3_J]) ).
thf(c_0_17,negated_conjecture,
ine @ pq @ ( secrecy_kE @ key ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
thf(c_0_18,plain,
~ ( knowle945212990e_know @ p @ ( secrecy_kKS @ key ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_19,plain,
! [X3: secrecy_specID,X1: secrecy_Keys] :
( ( knowle945212990e_know @ X3 @ ( secrecy_kKS @ X1 ) )
| ~ ( ine @ X3 @ ( secrecy_kE @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_20,plain,
~ ( knowle945212990e_know @ q @ ( secrecy_kKS @ key ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_21,plain,
! [X9: secrecy_Expression,X3: secrecy_specID] :
( ( ine @ p @ X9 )
| ( ine @ q @ X9 )
| ( ( subcomponents @ X3 )
!= ( subcomponents @ pq ) )
| ~ ( ine @ X3 @ X9 )
| ~ ( correctCompositionIn @ X3 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
thf(c_0_22,negated_conjecture,
ine @ pq @ ( secrecy_kE @ key ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_23,plain,
correctCompositionIn @ pq,
inference(split_conjunct,[status(thm)],[fact_0_assms_I4_J]) ).
thf(c_0_24,plain,
~ ( ine @ p @ ( secrecy_kE @ key ) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_25,plain,
~ ( ine @ q @ ( secrecy_kE @ key ) ),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
thf(c_0_26,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_21,c_0_22]),c_0_23])]),c_0_24]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP088^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 19:50:54 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.13 Running higher-order theorem proving
% 0.08/0.15 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.XdNpirD9pH/E---3.1_600600.p
% 1.48/0.42 % Version: 3.5.1-ho
% 1.48/0.42 % Preprocessing class: HSLSSMSMSSMNSFA.
% 1.48/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.48/0.42 % Starting new_ho_3 with 1500s (5) cores
% 1.48/0.42 % Starting pre_casc_2 with 300s (1) cores
% 1.48/0.42 % Starting additional_ho_7 with 300s (1) cores
% 1.48/0.42 % Starting lpo8_s with 300s (1) cores
% 1.48/0.42 % new_ho_3 with pid 600613 completed with status 0
% 1.48/0.42 % Result found by new_ho_3
% 1.48/0.42 % Preprocessing class: HSLSSMSMSSMNSFA.
% 1.48/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.48/0.42 % Starting new_ho_3 with 1500s (5) cores
% 1.48/0.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 1.48/0.42 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 1.48/0.42 % Search class: HGHSM-FSLS32-SSFFFFBN
% 1.48/0.42 % partial match(1): HGHSM-FSLM32-SSFFFFBN
% 1.48/0.42 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.48/0.42 % Starting SubtermCWHack with 136s (1) cores
% 1.48/0.42 % Starting new_ho_3 with 151s (1) cores
% 1.48/0.42 % Starting additional_ho_5 with 136s (1) cores
% 1.48/0.42 % Starting new_bool_1 with 136s (1) cores
% 1.48/0.42 % Starting new_bool_4 with 136s (1) cores
% 1.48/0.42 % new_ho_3 with pid 600620 completed with status 0
% 1.48/0.42 % Result found by new_ho_3
% 1.48/0.42 % Preprocessing class: HSLSSMSMSSMNSFA.
% 1.48/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.48/0.42 % Starting new_ho_3 with 1500s (5) cores
% 1.48/0.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 1.48/0.42 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 1.48/0.42 % Search class: HGHSM-FSLS32-SSFFFFBN
% 1.48/0.42 % partial match(1): HGHSM-FSLM32-SSFFFFBN
% 1.48/0.42 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.48/0.42 % Starting SubtermCWHack with 136s (1) cores
% 1.48/0.42 % Starting new_ho_3 with 151s (1) cores
% 1.48/0.42 % Preprocessing time : 0.007 s
% 1.48/0.42 % Presaturation interreduction done
% 1.48/0.42
% 1.48/0.42 % Proof found!
% 1.48/0.42 % SZS status Theorem
% 1.48/0.42 % SZS output start CNFRefutation
% See solution above
% 1.48/0.42 % Parsed axioms : 446
% 1.48/0.42 % Removed by relevancy pruning/SinE : 143
% 1.48/0.42 % Initial clauses : 625
% 1.48/0.42 % Removed in clause preprocessing : 27
% 1.48/0.42 % Initial clauses in saturation : 598
% 1.48/0.42 % Processed clauses : 2908
% 1.48/0.42 % ...of these trivial : 71
% 1.48/0.42 % ...subsumed : 1616
% 1.48/0.42 % ...remaining for further processing : 1221
% 1.48/0.42 % Other redundant clauses eliminated : 237
% 1.48/0.42 % Clauses deleted for lack of memory : 0
% 1.48/0.42 % Backward-subsumed : 11
% 1.48/0.42 % Backward-rewritten : 17
% 1.48/0.42 % Generated clauses : 9580
% 1.48/0.42 % ...of the previous two non-redundant : 8545
% 1.48/0.42 % ...aggressively subsumed : 0
% 1.48/0.42 % Contextual simplify-reflections : 24
% 1.48/0.42 % Paramodulations : 9358
% 1.48/0.42 % Factorizations : 0
% 1.48/0.42 % NegExts : 0
% 1.48/0.42 % Equation resolutions : 258
% 1.48/0.42 % Disequality decompositions : 0
% 1.48/0.42 % Total rewrite steps : 3146
% 1.48/0.42 % ...of those cached : 2676
% 1.48/0.42 % Propositional unsat checks : 0
% 1.48/0.42 % Propositional check models : 0
% 1.48/0.42 % Propositional check unsatisfiable : 0
% 1.48/0.42 % Propositional clauses : 0
% 1.48/0.42 % Propositional clauses after purity: 0
% 1.48/0.42 % Propositional unsat core size : 0
% 1.48/0.42 % Propositional preprocessing time : 0.000
% 1.48/0.42 % Propositional encoding time : 0.000
% 1.48/0.42 % Propositional solver time : 0.000
% 1.48/0.42 % Success case prop preproc time : 0.000
% 1.48/0.42 % Success case prop encoding time : 0.000
% 1.48/0.42 % Success case prop solver time : 0.000
% 1.48/0.42 % Current number of processed clauses : 740
% 1.48/0.42 % Positive orientable unit clauses : 74
% 1.48/0.42 % Positive unorientable unit clauses: 9
% 1.48/0.42 % Negative unit clauses : 21
% 1.48/0.42 % Non-unit-clauses : 636
% 1.48/0.42 % Current number of unprocessed clauses: 6569
% 1.48/0.42 % ...number of literals in the above : 24262
% 1.48/0.42 % Current number of archived formulas : 0
% 1.48/0.42 % Current number of archived clauses : 399
% 1.48/0.42 % Clause-clause subsumption calls (NU) : 162142
% 1.48/0.42 % Rec. Clause-clause subsumption calls : 58047
% 1.48/0.42 % Non-unit clause-clause subsumptions : 1393
% 1.48/0.42 % Unit Clause-clause subsumption calls : 721
% 1.48/0.42 % Rewrite failures with RHS unbound : 0
% 1.48/0.42 % BW rewrite match attempts : 178
% 1.48/0.42 % BW rewrite match successes : 128
% 1.48/0.42 % Condensation attempts : 2908
% 1.48/0.42 % Condensation successes : 6
% 1.48/0.42 % Termbank termtop insertions : 184626
% 1.48/0.42 % Search garbage collected termcells : 16452
% 1.48/0.42
% 1.48/0.42 % -------------------------------------------------
% 1.48/0.42 % User time : 0.228 s
% 1.48/0.42 % System time : 0.013 s
% 1.48/0.42 % Total time : 0.241 s
% 1.48/0.42 % Maximum resident set size: 7104 pages
% 1.48/0.42
% 1.48/0.42 % -------------------------------------------------
% 1.48/0.42 % User time : 1.028 s
% 1.48/0.42 % System time : 0.062 s
% 1.48/0.42 % Total time : 1.090 s
% 1.48/0.42 % Maximum resident set size: 5632 pages
% 1.48/0.42 % E exiting
%------------------------------------------------------------------------------