%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP086^1 : 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 : 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 08:05:29 AM UTC 2026
% Result : Theorem 155.67s 65.44s
% Output : CNFRefutation 155.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 50 ( 7 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 193 ( 22 ~; 15 |; 0 &; 146 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
set_Secrecy_chanID: $tType ).
thf(decl_sort2,type,
set_Secrecy_specID: $tType ).
thf(decl_sort3,type,
secrecy_chanID: $tType ).
thf(decl_sort4,type,
secrecy_specID: $tType ).
thf(decl_sort5,type,
secrecy_Expression: $tType ).
thf(decl_33,type,
bot_bo1785112429specID: set_Secrecy_specID ).
thf(decl_38,type,
exprChannel: secrecy_chanID > secrecy_Expression > $o ).
thf(decl_48,type,
insert1671894227specID: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).
thf(decl_57,type,
correctCompositionIn: secrecy_specID > $o ).
thf(decl_62,type,
ins: secrecy_specID > set_Secrecy_chanID ).
thf(decl_63,type,
loc: secrecy_specID > set_Secrecy_chanID ).
thf(decl_67,type,
subcomponents: secrecy_specID > set_Secrecy_specID ).
thf(decl_68,type,
member1967978193chanID: secrecy_chanID > set_Secrecy_chanID > $o ).
thf(decl_70,type,
p: secrecy_specID ).
thf(decl_71,type,
pq: secrecy_specID ).
thf(decl_72,type,
q: secrecy_specID ).
thf(decl_73,type,
ch: secrecy_chanID ).
thf(decl_74,type,
m: secrecy_Expression ).
thf(fact_6_correctCompositionIn__L1,axiom,
! [X5: secrecy_specID,X6: secrecy_specID,X7: secrecy_specID,X8: secrecy_chanID] :
( ( ( subcomponents @ X5 )
= ( insert1671894227specID @ X6 @ ( insert1671894227specID @ X7 @ bot_bo1785112429specID ) ) )
=> ( ( correctCompositionIn @ X5 )
=> ( ~ ( member1967978193chanID @ X8 @ ( loc @ X5 ) )
=> ( ( member1967978193chanID @ X8 @ ( ins @ X6 ) )
=> ( member1967978193chanID @ X8 @ ( ins @ X5 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.s8YpHmQryM/E---3.1_1733851.p',fact_6_correctCompositionIn__L1) ).
thf(fact_3_assms_I5_J,axiom,
! [X1: secrecy_chanID] :
( ( member1967978193chanID @ X1 @ ( ins @ pq ) )
=> ~ ( exprChannel @ X1 @ m ) ),
file('/export/starexec/sandbox/tmp/tmp.s8YpHmQryM/E---3.1_1733851.p',fact_3_assms_I5_J) ).
thf(conj_0,conjecture,
member1967978193chanID @ ch @ ( loc @ pq ),
file('/export/starexec/sandbox/tmp/tmp.s8YpHmQryM/E---3.1_1733851.p',conj_0) ).
thf(fact_4_assms_I1_J,axiom,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
file('/export/starexec/sandbox/tmp/tmp.s8YpHmQryM/E---3.1_1733851.p',fact_4_assms_I1_J) ).
thf(fact_0_assms_I2_J,axiom,
correctCompositionIn @ pq,
file('/export/starexec/sandbox/tmp/tmp.s8YpHmQryM/E---3.1_1733851.p',fact_0_assms_I2_J) ).
thf(fact_1_assms_I4_J,axiom,
exprChannel @ ch @ m,
file('/export/starexec/sandbox/tmp/tmp.s8YpHmQryM/E---3.1_1733851.p',fact_1_assms_I4_J) ).
thf(fact_2_assms_I3_J,axiom,
member1967978193chanID @ ch @ ( ins @ p ),
file('/export/starexec/sandbox/tmp/tmp.s8YpHmQryM/E---3.1_1733851.p',fact_2_assms_I3_J) ).
thf(c_0_7,plain,
! [X5: secrecy_specID,X6: secrecy_specID,X7: secrecy_specID,X8: secrecy_chanID] :
( ( ( subcomponents @ X5 )
= ( insert1671894227specID @ X6 @ ( insert1671894227specID @ X7 @ bot_bo1785112429specID ) ) )
=> ( ( correctCompositionIn @ X5 )
=> ( ~ ( member1967978193chanID @ X8 @ ( loc @ X5 ) )
=> ( ( member1967978193chanID @ X8 @ ( ins @ X6 ) )
=> ( member1967978193chanID @ X8 @ ( ins @ X5 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_6_correctCompositionIn__L1]) ).
thf(c_0_8,plain,
! [X1535: secrecy_specID,X1536: secrecy_specID,X1537: secrecy_specID,X1538: secrecy_chanID] :
( ( ( subcomponents @ X1535 )
!= ( insert1671894227specID @ X1536 @ ( insert1671894227specID @ X1537 @ bot_bo1785112429specID ) ) )
| ~ ( correctCompositionIn @ X1535 )
| ( member1967978193chanID @ X1538 @ ( loc @ X1535 ) )
| ~ ( member1967978193chanID @ X1538 @ ( ins @ X1536 ) )
| ( member1967978193chanID @ X1538 @ ( ins @ X1535 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
thf(c_0_9,plain,
! [X1: secrecy_chanID] :
( ( member1967978193chanID @ X1 @ ( ins @ pq ) )
=> ~ ( exprChannel @ X1 @ m ) ),
inference(fof_simplification,[status(thm)],[fact_3_assms_I5_J]) ).
thf(c_0_10,negated_conjecture,
~ ( member1967978193chanID @ ch @ ( loc @ pq ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_11,plain,
! [X1: secrecy_chanID,X2: secrecy_specID,X6: secrecy_specID,X5: secrecy_specID] :
( ( member1967978193chanID @ X1 @ ( loc @ X2 ) )
| ( member1967978193chanID @ X1 @ ( ins @ X2 ) )
| ( ( subcomponents @ X2 )
!= ( insert1671894227specID @ X5 @ ( insert1671894227specID @ X6 @ bot_bo1785112429specID ) ) )
| ~ ( correctCompositionIn @ X2 )
| ~ ( member1967978193chanID @ X1 @ ( ins @ X5 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_12,plain,
( ( subcomponents @ pq )
= ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
inference(split_conjunct,[status(thm)],[fact_4_assms_I1_J]) ).
thf(c_0_13,plain,
correctCompositionIn @ pq,
inference(split_conjunct,[status(thm)],[fact_0_assms_I2_J]) ).
thf(c_0_14,plain,
! [X1532: secrecy_chanID] :
( ~ ( member1967978193chanID @ X1532 @ ( ins @ pq ) )
| ~ ( exprChannel @ X1532 @ m ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
thf(c_0_15,negated_conjecture,
~ ( member1967978193chanID @ ch @ ( loc @ pq ) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
thf(c_0_16,plain,
! [X1: secrecy_chanID,X5: secrecy_specID,X2: secrecy_specID] :
( ( member1967978193chanID @ X1 @ ( loc @ pq ) )
| ( member1967978193chanID @ X1 @ ( ins @ pq ) )
| ( ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) )
!= ( insert1671894227specID @ X2 @ ( insert1671894227specID @ X5 @ bot_bo1785112429specID ) ) )
| ~ ( member1967978193chanID @ X1 @ ( ins @ X2 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
thf(c_0_17,plain,
! [X1: secrecy_chanID] :
( ~ ( member1967978193chanID @ X1 @ ( ins @ pq ) )
| ~ ( exprChannel @ X1 @ m ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_18,plain,
exprChannel @ ch @ m,
inference(split_conjunct,[status(thm)],[fact_1_assms_I4_J]) ).
thf(c_0_19,negated_conjecture,
~ ( member1967978193chanID @ ch @ ( loc @ pq ) ),
inference(fof_nnf,[status(thm)],[c_0_15]) ).
thf(c_0_20,plain,
! [X1: secrecy_chanID] :
( ( member1967978193chanID @ X1 @ ( ins @ pq ) )
| ( member1967978193chanID @ X1 @ ( loc @ pq ) )
| ~ ( member1967978193chanID @ X1 @ ( ins @ p ) ) ),
inference(er,[status(thm)],[c_0_16]) ).
thf(c_0_21,plain,
member1967978193chanID @ ch @ ( ins @ p ),
inference(split_conjunct,[status(thm)],[fact_2_assms_I3_J]) ).
thf(c_0_22,plain,
~ ( member1967978193chanID @ ch @ ( ins @ pq ) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
thf(c_0_23,negated_conjecture,
~ ( member1967978193chanID @ ch @ ( loc @ pq ) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_24,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP086^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n001.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % 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 19:56:21 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running higher-order theorem proving
% 0.23/0.26 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.s8YpHmQryM/E---3.1_1733851.p
% 155.67/65.44 % Version: 3.5.1-ho
% 155.67/65.44 % Preprocessing class: HSLSSMSSSSMNSFA.
% 155.67/65.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 155.67/65.44 % Starting post_as_ho6 with 1500s (5) cores
% 155.67/65.44 % Starting new_bool_3 with 300s (1) cores
% 155.67/65.44 % Starting sh8 with 300s (1) cores
% 155.67/65.44 % Starting post_as_ho1 with 300s (1) cores
% 155.67/65.44 % post_as_ho6 with pid 1733864 completed with status 9
% 155.67/65.44 % sh8 with pid 1733866 completed with status 0
% 155.67/65.44 % Result found by sh8
% 155.67/65.44 % Preprocessing class: HSLSSMSSSSMNSFA.
% 155.67/65.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 155.67/65.44 % Starting post_as_ho6 with 1500s (5) cores
% 155.67/65.44 % Starting new_bool_3 with 300s (1) cores
% 155.67/65.44 % Starting sh8 with 300s (1) cores
% 155.67/65.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 155.67/65.44 % No SInE strategy applied
% 155.67/65.44 % Search class: HGHSM-FSLM32-SSFFFFBN
% 155.67/65.44 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 155.67/65.44 % Starting SubtermCWHack with 28s (1) cores
% 155.67/65.44 % SubtermCWHack with pid 1733883 completed with status 8
% 155.67/65.44 % Starting sh8 with 31s (1) cores
% 155.67/65.44 % sh8 with pid 1733890 completed with status 8
% 155.67/65.44 % Starting additional_ho_5 with 28s (1) cores
% 155.67/65.44 % additional_ho_5 with pid 1734051 completed with status 0
% 155.67/65.44 % Result found by additional_ho_5
% 155.67/65.44 % Preprocessing class: HSLSSMSSSSMNSFA.
% 155.67/65.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 155.67/65.44 % Starting post_as_ho6 with 1500s (5) cores
% 155.67/65.44 % Starting new_bool_3 with 300s (1) cores
% 155.67/65.44 % Starting sh8 with 300s (1) cores
% 155.67/65.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 155.67/65.44 % No SInE strategy applied
% 155.67/65.44 % Search class: HGHSM-FSLM32-SSFFFFBN
% 155.67/65.44 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 155.67/65.44 % Starting SubtermCWHack with 28s (1) cores
% 155.67/65.44 % SubtermCWHack with pid 1733883 completed with status 8
% 155.67/65.44 % Starting sh8 with 31s (1) cores
% 155.67/65.44 % sh8 with pid 1733890 completed with status 8
% 155.67/65.44 % Starting additional_ho_5 with 28s (1) cores
% 155.67/65.44 % Preprocessing time : 0.013 s
% 155.67/65.44 % Presaturation interreduction done
% 155.67/65.44
% 155.67/65.44 % Proof found!
% 155.67/65.44 % SZS status Theorem
% 155.67/65.44 % SZS output start CNFRefutation
% See solution above
% 155.67/65.44 % Parsed axioms : 414
% 155.67/65.44 % Removed by relevancy pruning/SinE : 0
% 155.67/65.44 % Initial clauses : 745
% 155.67/65.44 % Removed in clause preprocessing : 72
% 155.67/65.44 % Initial clauses in saturation : 673
% 155.67/65.44 % Processed clauses : 31924
% 155.67/65.44 % ...of these trivial : 403
% 155.67/65.44 % ...subsumed : 26694
% 155.67/65.44 % ...remaining for further processing : 4827
% 155.67/65.44 % Other redundant clauses eliminated : 5755
% 155.67/65.44 % Clauses deleted for lack of memory : 0
% 155.67/65.44 % Backward-subsumed : 54
% 155.67/65.44 % Backward-rewritten : 162
% 155.67/65.44 % Generated clauses : 248221
% 155.67/65.44 % ...of the previous two non-redundant : 217504
% 155.67/65.44 % ...aggressively subsumed : 0
% 155.67/65.44 % Contextual simplify-reflections : 12
% 155.67/65.44 % Paramodulations : 242316
% 155.67/65.44 % Factorizations : 60
% 155.67/65.44 % NegExts : 2
% 155.67/65.44 % Equation resolutions : 5818
% 155.67/65.44 % Disequality decompositions : 0
% 155.67/65.44 % Total rewrite steps : 80913
% 155.67/65.44 % ...of those cached : 73139
% 155.67/65.44 % Propositional unsat checks : 0
% 155.67/65.44 % Propositional check models : 0
% 155.67/65.44 % Propositional check unsatisfiable : 0
% 155.67/65.44 % Propositional clauses : 0
% 155.67/65.44 % Propositional clauses after purity: 0
% 155.67/65.44 % Propositional unsat core size : 0
% 155.67/65.44 % Propositional preprocessing time : 0.000
% 155.67/65.44 % Propositional encoding time : 0.000
% 155.67/65.44 % Propositional solver time : 0.000
% 155.67/65.44 % Success case prop preproc time : 0.000
% 155.67/65.44 % Success case prop encoding time : 0.000
% 155.67/65.44 % Success case prop solver time : 0.000
% 155.67/65.44 % Current number of processed clauses : 4094
% 155.67/65.44 % Positive orientable unit clauses : 384
% 155.67/65.44 % Positive unorientable unit clauses: 7
% 155.67/65.44 % Negative unit clauses : 276
% 155.67/65.44 % Non-unit-clauses : 3427
% 155.67/65.44 % Current number of unprocessed clauses: 185812
% 155.67/65.44 % ...number of literals in the above : 531714
% 155.67/65.44 % Current number of archived formulas : 0
% 155.67/65.44 % Current number of archived clauses : 639
% 155.67/65.44 % Clause-clause subsumption calls (NU) : 1678188
% 155.67/65.44 % Rec. Clause-clause subsumption calls : 1149089
% 155.67/65.44 % Non-unit clause-clause subsumptions : 15711
% 155.67/65.44 % Unit Clause-clause subsumption calls : 61281
% 155.67/65.44 % Rewrite failures with RHS unbound : 0
% 155.67/65.44 % BW rewrite match attempts : 650
% 155.67/65.44 % BW rewrite match successes : 166
% 155.67/65.44 % Condensation attempts : 0
% 155.67/65.44 % Condensation successes : 0
% 155.67/65.44 % Termbank termtop insertions : 3189064
% 155.67/65.44 % Search garbage collected termcells : 16064
% 155.67/65.44
% 155.67/65.44 % -------------------------------------------------
% 155.67/65.44 % User time : 63.448 s
% 155.67/65.44 % System time : 1.614 s
% 155.67/65.44 % Total time : 65.063 s
% 155.67/65.44 % Maximum resident set size: 6980 pages
% 155.67/65.44
% 155.67/65.44 % -------------------------------------------------
% 155.67/65.44 % User time : 63.487 s
% 155.67/65.44 % System time : 1.649 s
% 155.67/65.44 % Total time : 65.136 s
% 155.67/65.44 % Maximum resident set size: 5632 pages
% 155.67/65.44 % E exiting
%------------------------------------------------------------------------------