%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP089^1 : 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 : n004.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 37.76s 5.81s
% Output : CNFRefutation 37.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 30 unt; 0 typ; 0 def)
% Number of atoms : 68 ( 10 equ; 0 cnn)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 289 ( 39 ~; 20 |; 0 &; 218 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% 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_sort5,type,
secrecy_Expression: $tType ).
thf(decl_sort6,type,
secrecy_Secrets: $tType ).
thf(decl_23,type,
localSecrets: secrecy_specID > set_Secrecy_KS ).
thf(decl_41,type,
bot_bo1785112429specID: set_Secrecy_specID ).
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_71,type,
insert1671894227specID: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(decl_82,type,
correc965049635ionLoc: secrecy_specID > $o ).
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_99,type,
m: secrecy_KS ).
thf(decl_100,type,
secret: secrecy_Secrets ).
thf(fact_13_LocalSecretsComposition__ine1__s,axiom,
! [X5: secrecy_Secrets,X6: secrecy_specID,X7: secrecy_specID,X8: secrecy_specID] :
( ( member_Secrecy_KS @ ( secrecy_sKS @ X5 ) @ ( localSecrets @ X6 ) )
=> ( ( ( subcomponents @ X6 )
= ( insert1671894227specID @ X7 @ ( insert1671894227specID @ X8 @ bot_bo1785112429specID ) ) )
=> ( ( correc965049635ionLoc @ X6 )
=> ( ~ ( ine @ X8 @ ( secrecy_sE @ X5 ) )
=> ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X5 ) @ ( localSecrets @ X7 ) )
=> ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X5 ) @ ( localSecrets @ X8 ) )
=> ( ine @ X7 @ ( secrecy_sE @ X5 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.NS1dL2EsMh/E---3.1_1752503.p',fact_13_LocalSecretsComposition__ine1__s) ).
thf(fact_3_sg1b,axiom,
~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) ),
file('/export/starexec/sandbox/tmp/tmp.NS1dL2EsMh/E---3.1_1752503.p',fact_3_sg1b) ).
thf(fact_4_sg2b,axiom,
~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ q ) ),
file('/export/starexec/sandbox/tmp/tmp.NS1dL2EsMh/E---3.1_1752503.p',fact_4_sg2b) ).
thf(fact_1_sg1a,axiom,
~ ( ine @ p @ ( secrecy_sE @ secret ) ),
file('/export/starexec/sandbox/tmp/tmp.NS1dL2EsMh/E---3.1_1752503.p',fact_1_sg1a) ).
thf(fact_2_sg2a,axiom,
~ ( ine @ q @ ( secrecy_sE @ secret ) ),
file('/export/starexec/sandbox/tmp/tmp.NS1dL2EsMh/E---3.1_1752503.p',fact_2_sg2a) ).
thf(conj_0,conjecture,
~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ pq ) ),
file('/export/starexec/sandbox/tmp/tmp.NS1dL2EsMh/E---3.1_1752503.p',conj_0) ).
thf(fact_6_a2,axiom,
( m
= ( secrecy_sKS @ secret ) ),
file('/export/starexec/sandbox/tmp/tmp.NS1dL2EsMh/E---3.1_1752503.p',fact_6_a2) ).
thf(fact_5_subPQ,axiom,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
file('/export/starexec/sandbox/tmp/tmp.NS1dL2EsMh/E---3.1_1752503.p',fact_5_subPQ) ).
thf(fact_0_cCompLoc,axiom,
correc965049635ionLoc @ pq,
file('/export/starexec/sandbox/tmp/tmp.NS1dL2EsMh/E---3.1_1752503.p',fact_0_cCompLoc) ).
thf(c_0_9,plain,
! [X5: secrecy_Secrets,X6: secrecy_specID,X7: secrecy_specID,X8: secrecy_specID] :
( ( member_Secrecy_KS @ ( secrecy_sKS @ X5 ) @ ( localSecrets @ X6 ) )
=> ( ( ( subcomponents @ X6 )
= ( insert1671894227specID @ X7 @ ( insert1671894227specID @ X8 @ bot_bo1785112429specID ) ) )
=> ( ( correc965049635ionLoc @ X6 )
=> ( ~ ( ine @ X8 @ ( secrecy_sE @ X5 ) )
=> ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X5 ) @ ( localSecrets @ X7 ) )
=> ( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X5 ) @ ( localSecrets @ X8 ) )
=> ( ine @ X7 @ ( secrecy_sE @ X5 ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_13_LocalSecretsComposition__ine1__s]) ).
thf(c_0_10,plain,
~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) ),
inference(fof_simplification,[status(thm)],[fact_3_sg1b]) ).
thf(c_0_11,plain,
~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ q ) ),
inference(fof_simplification,[status(thm)],[fact_4_sg2b]) ).
thf(c_0_12,plain,
! [X1587: secrecy_Secrets,X1588: secrecy_specID,X1589: secrecy_specID,X1590: secrecy_specID] :
( ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X1587 ) @ ( localSecrets @ X1588 ) )
| ( ( subcomponents @ X1588 )
!= ( insert1671894227specID @ X1589 @ ( insert1671894227specID @ X1590 @ bot_bo1785112429specID ) ) )
| ~ ( correc965049635ionLoc @ X1588 )
| ( ine @ X1590 @ ( secrecy_sE @ X1587 ) )
| ( member_Secrecy_KS @ ( secrecy_sKS @ X1587 ) @ ( localSecrets @ X1589 ) )
| ( member_Secrecy_KS @ ( secrecy_sKS @ X1587 ) @ ( localSecrets @ X1590 ) )
| ( ine @ X1589 @ ( secrecy_sE @ X1587 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
thf(c_0_13,plain,
~ ( ine @ p @ ( secrecy_sE @ secret ) ),
inference(fof_simplification,[status(thm)],[fact_1_sg1a]) ).
thf(c_0_14,plain,
~ ( ine @ q @ ( secrecy_sE @ secret ) ),
inference(fof_simplification,[status(thm)],[fact_2_sg2a]) ).
thf(c_0_15,plain,
~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) ),
inference(fof_nnf,[status(thm)],[c_0_10]) ).
thf(c_0_16,plain,
~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ q ) ),
inference(fof_nnf,[status(thm)],[c_0_11]) ).
thf(c_0_17,negated_conjecture,
~ ~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ pq ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_18,plain,
! [X1: secrecy_Secrets,X7: secrecy_specID,X6: secrecy_specID,X3: secrecy_specID] :
( ( ine @ X7 @ ( secrecy_sE @ X1 ) )
| ( member_Secrecy_KS @ ( secrecy_sKS @ X1 ) @ ( localSecrets @ X6 ) )
| ( member_Secrecy_KS @ ( secrecy_sKS @ X1 ) @ ( localSecrets @ X7 ) )
| ( ine @ X6 @ ( secrecy_sE @ X1 ) )
| ~ ( member_Secrecy_KS @ ( secrecy_sKS @ X1 ) @ ( localSecrets @ X3 ) )
| ( ( subcomponents @ X3 )
!= ( insert1671894227specID @ X6 @ ( insert1671894227specID @ X7 @ bot_bo1785112429specID ) ) )
| ~ ( correc965049635ionLoc @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_19,plain,
( m
= ( secrecy_sKS @ secret ) ),
inference(split_conjunct,[status(thm)],[fact_6_a2]) ).
thf(c_0_20,plain,
~ ( ine @ p @ ( secrecy_sE @ secret ) ),
inference(fof_nnf,[status(thm)],[c_0_13]) ).
thf(c_0_21,plain,
~ ( ine @ q @ ( secrecy_sE @ secret ) ),
inference(fof_nnf,[status(thm)],[c_0_14]) ).
thf(c_0_22,plain,
~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ p ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_23,plain,
~ ( member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ q ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_24,negated_conjecture,
member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ pq ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
thf(c_0_25,plain,
! [X3: secrecy_specID,X6: secrecy_specID,X7: secrecy_specID] :
( ( ine @ X3 @ ( secrecy_sE @ secret ) )
| ( ine @ X6 @ ( secrecy_sE @ secret ) )
| ( member_Secrecy_KS @ m @ ( localSecrets @ X3 ) )
| ( member_Secrecy_KS @ m @ ( localSecrets @ X6 ) )
| ( ( subcomponents @ X7 )
!= ( insert1671894227specID @ X3 @ ( insert1671894227specID @ X6 @ bot_bo1785112429specID ) ) )
| ~ ( member_Secrecy_KS @ m @ ( localSecrets @ X7 ) )
| ~ ( correc965049635ionLoc @ X7 ) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_26,plain,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
inference(split_conjunct,[status(thm)],[fact_5_subPQ]) ).
thf(c_0_27,plain,
~ ( ine @ p @ ( secrecy_sE @ secret ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_28,plain,
~ ( ine @ q @ ( secrecy_sE @ secret ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_29,plain,
~ ( member_Secrecy_KS @ m @ ( localSecrets @ p ) ),
inference(rw,[status(thm)],[c_0_22,c_0_19]) ).
thf(c_0_30,plain,
~ ( member_Secrecy_KS @ m @ ( localSecrets @ q ) ),
inference(rw,[status(thm)],[c_0_23,c_0_19]) ).
thf(c_0_31,negated_conjecture,
member_Secrecy_KS @ ( secrecy_sKS @ secret ) @ ( localSecrets @ pq ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
thf(c_0_32,plain,
! [X3: secrecy_specID] :
( ( ( subcomponents @ X3 )
!= ( subcomponents @ pq ) )
| ~ ( member_Secrecy_KS @ m @ ( localSecrets @ X3 ) )
| ~ ( correc965049635ionLoc @ X3 ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]) ).
thf(c_0_33,negated_conjecture,
member_Secrecy_KS @ m @ ( localSecrets @ pq ),
inference(rw,[status(thm)],[c_0_31,c_0_19]) ).
thf(c_0_34,plain,
correc965049635ionLoc @ pq,
inference(split_conjunct,[status(thm)],[fact_0_cCompLoc]) ).
thf(c_0_35,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP089^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n004.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 19:52:06 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.20/0.28 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.NS1dL2EsMh/E---3.1_1752503.p
% 37.76/5.81 % Version: 3.5.1-ho
% 37.76/5.81 % Preprocessing class: HSLSSMSMSSMNSFA.
% 37.76/5.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 37.76/5.81 % Starting new_ho_3 with 1500s (5) cores
% 37.76/5.81 % Starting pre_casc_2 with 300s (1) cores
% 37.76/5.81 % Starting additional_ho_7 with 300s (1) cores
% 37.76/5.81 % Starting lpo8_s with 300s (1) cores
% 37.76/5.81 % new_ho_3 with pid 1752538 completed with status 0
% 37.76/5.81 % Result found by new_ho_3
% 37.76/5.81 % Preprocessing class: HSLSSMSMSSMNSFA.
% 37.76/5.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 37.76/5.81 % Starting new_ho_3 with 1500s (5) cores
% 37.76/5.81 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 37.76/5.81 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 37.76/5.81 % Search class: HGHSM-FSLS32-SSFFFFBN
% 37.76/5.81 % partial match(1): HGHSM-FSLM32-SSFFFFBN
% 37.76/5.81 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 37.76/5.81 % Starting SubtermCWHack with 136s (1) cores
% 37.76/5.81 % Starting new_ho_3 with 151s (1) cores
% 37.76/5.81 % Starting additional_ho_5 with 136s (1) cores
% 37.76/5.81 % Starting new_bool_1 with 136s (1) cores
% 37.76/5.81 % Starting new_bool_4 with 136s (1) cores
% 37.76/5.81 % new_ho_3 with pid 1752567 completed with status 0
% 37.76/5.81 % Result found by new_ho_3
% 37.76/5.81 % Preprocessing class: HSLSSMSMSSMNSFA.
% 37.76/5.81 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 37.76/5.81 % Starting new_ho_3 with 1500s (5) cores
% 37.76/5.81 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true))
% 37.76/5.81 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)
% 37.76/5.81 % Search class: HGHSM-FSLS32-SSFFFFBN
% 37.76/5.81 % partial match(1): HGHSM-FSLM32-SSFFFFBN
% 37.76/5.81 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 37.76/5.81 % Starting SubtermCWHack with 136s (1) cores
% 37.76/5.81 % Starting new_ho_3 with 151s (1) cores
% 37.76/5.81 % Preprocessing time : 0.012 s
% 37.76/5.81 % Presaturation interreduction done
% 37.76/5.81
% 37.76/5.81 % Proof found!
% 37.76/5.81 % SZS status Theorem
% 37.76/5.81 % SZS output start CNFRefutation
% See solution above
% 37.76/5.81 % Parsed axioms : 447
% 37.76/5.81 % Removed by relevancy pruning/SinE : 149
% 37.76/5.81 % Initial clauses : 612
% 37.76/5.81 % Removed in clause preprocessing : 25
% 37.76/5.81 % Initial clauses in saturation : 587
% 37.76/5.81 % Processed clauses : 18081
% 37.76/5.81 % ...of these trivial : 153
% 37.76/5.81 % ...subsumed : 14206
% 37.76/5.81 % ...remaining for further processing : 3722
% 37.76/5.81 % Other redundant clauses eliminated : 634
% 37.76/5.81 % Clauses deleted for lack of memory : 0
% 37.76/5.81 % Backward-subsumed : 172
% 37.76/5.81 % Backward-rewritten : 11
% 37.76/5.81 % Generated clauses : 146794
% 37.76/5.81 % ...of the previous two non-redundant : 137453
% 37.76/5.81 % ...aggressively subsumed : 0
% 37.76/5.81 % Contextual simplify-reflections : 38
% 37.76/5.81 % Paramodulations : 146111
% 37.76/5.81 % Factorizations : 29
% 37.76/5.81 % NegExts : 0
% 37.76/5.81 % Equation resolutions : 687
% 37.76/5.81 % Disequality decompositions : 0
% 37.76/5.81 % Total rewrite steps : 67703
% 37.76/5.81 % ...of those cached : 65497
% 37.76/5.81 % Propositional unsat checks : 0
% 37.76/5.81 % Propositional check models : 0
% 37.76/5.81 % Propositional check unsatisfiable : 0
% 37.76/5.81 % Propositional clauses : 0
% 37.76/5.81 % Propositional clauses after purity: 0
% 37.76/5.81 % Propositional unsat core size : 0
% 37.76/5.81 % Propositional preprocessing time : 0.000
% 37.76/5.81 % Propositional encoding time : 0.000
% 37.76/5.81 % Propositional solver time : 0.000
% 37.76/5.81 % Success case prop preproc time : 0.000
% 37.76/5.81 % Success case prop encoding time : 0.000
% 37.76/5.81 % Success case prop solver time : 0.000
% 37.76/5.81 % Current number of processed clauses : 3089
% 37.76/5.81 % Positive orientable unit clauses : 95
% 37.76/5.81 % Positive unorientable unit clauses: 11
% 37.76/5.81 % Negative unit clauses : 56
% 37.76/5.81 % Non-unit-clauses : 2927
% 37.76/5.81 % Current number of unprocessed clauses: 119806
% 37.76/5.81 % ...number of literals in the above : 526762
% 37.76/5.81 % Current number of archived formulas : 0
% 37.76/5.81 % Current number of archived clauses : 554
% 37.76/5.81 % Clause-clause subsumption calls (NU) : 2265829
% 37.76/5.81 % Rec. Clause-clause subsumption calls : 1111278
% 37.76/5.81 % Non-unit clause-clause subsumptions : 12569
% 37.76/5.81 % Unit Clause-clause subsumption calls : 6396
% 37.76/5.81 % Rewrite failures with RHS unbound : 0
% 37.76/5.81 % BW rewrite match attempts : 196
% 37.76/5.81 % BW rewrite match successes : 126
% 37.76/5.81 % Condensation attempts : 18081
% 37.76/5.81 % Condensation successes : 106
% 37.76/5.81 % Termbank termtop insertions : 2512141
% 37.76/5.81 % Search garbage collected termcells : 16133
% 37.76/5.81
% 37.76/5.81 % -------------------------------------------------
% 37.76/5.81 % User time : 5.269 s
% 37.76/5.81 % System time : 0.114 s
% 37.76/5.81 % Total time : 5.383 s
% 37.76/5.81 % Maximum resident set size: 6844 pages
% 37.76/5.81
% 37.76/5.81 % -------------------------------------------------
% 37.76/5.81 % User time : 26.133 s
% 37.76/5.81 % System time : 0.681 s
% 37.76/5.81 % Total time : 26.814 s
% 37.76/5.81 % Maximum resident set size: 5632 pages
% 37.76/5.81 % E exiting
%------------------------------------------------------------------------------