%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP084^1 : 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 : n019.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 08:04:18 AM UTC 2026
% Result : Theorem 0.22s 0.31s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 3 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 92 ( 8 ~; 4 |; 1 &; 78 @)
% ( 1 <=>; 0 =>; 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 : 11 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 0 ^; 11 !; 0 ?; 11 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
secrecy_Expression: $tType ).
thf(decl_sort2,type,
secrecy_KS: $tType ).
thf(decl_sort3,type,
secrecy_Keys: $tType ).
thf(decl_sort4,type,
list_S529945141ession: $tType ).
thf(decl_sort5,type,
secrecy_specID: $tType ).
thf(decl_36,type,
knowle945212990e_know: secrecy_specID > secrecy_KS > $o ).
thf(decl_37,type,
knowle731562421_knows: secrecy_specID > list_S529945141ession > $o ).
thf(decl_66,type,
cons_S112077679ession: secrecy_Expression > list_S529945141ession > list_S529945141ession ).
thf(decl_72,type,
nil_Se901661471ession: list_S529945141ession ).
thf(decl_124,type,
secrecy_kE: secrecy_Keys > secrecy_Expression ).
thf(decl_126,type,
secrec1016742679ession: secrecy_KS > secrecy_Expression ).
thf(decl_127,type,
secrecy_kKS: secrecy_Keys > secrecy_KS ).
thf(decl_140,type,
a: secrecy_specID ).
thf(decl_141,type,
m: secrecy_Keys ).
thf(conj_0,conjecture,
knowle945212990e_know @ a @ ( secrecy_kKS @ m ),
file('/export/starexec/sandbox/tmp/tmp.JUJc0FC5lT/E---3.1_1262573.p',conj_0) ).
thf(fact_7_know1k,axiom,
! [X11: secrecy_specID,X12: secrecy_Keys] :
( ( knowle731562421_knows @ X11 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_kKS @ X12 ) ) @ nil_Se901661471ession ) )
<=> ( knowle945212990e_know @ X11 @ ( secrecy_kKS @ X12 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.JUJc0FC5lT/E---3.1_1262573.p',fact_7_know1k) ).
thf(fact_13_KS2Expression_Osimps_I1_J,axiom,
! [X10: secrecy_Keys] :
( ( secrec1016742679ession @ ( secrecy_kKS @ X10 ) )
= ( secrecy_kE @ X10 ) ),
file('/export/starexec/sandbox/tmp/tmp.JUJc0FC5lT/E---3.1_1262573.p',fact_13_KS2Expression_Osimps_I1_J) ).
thf(fact_0_assms,axiom,
knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_kE @ m ) @ nil_Se901661471ession ),
file('/export/starexec/sandbox/tmp/tmp.JUJc0FC5lT/E---3.1_1262573.p',fact_0_assms) ).
thf(c_0_4,negated_conjecture,
~ ( knowle945212990e_know @ a @ ( secrecy_kKS @ m ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_5,negated_conjecture,
~ ( knowle945212990e_know @ a @ ( secrecy_kKS @ m ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
thf(c_0_6,plain,
! [X1104: secrecy_specID,X1105: secrecy_Keys] :
( ( ~ ( knowle731562421_knows @ X1104 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_kKS @ X1105 ) ) @ nil_Se901661471ession ) )
| ( knowle945212990e_know @ X1104 @ ( secrecy_kKS @ X1105 ) ) )
& ( ~ ( knowle945212990e_know @ X1104 @ ( secrecy_kKS @ X1105 ) )
| ( knowle731562421_knows @ X1104 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_kKS @ X1105 ) ) @ nil_Se901661471ession ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_7_know1k])])]) ).
thf(c_0_7,plain,
! [X1118: secrecy_Keys] :
( ( secrec1016742679ession @ ( secrecy_kKS @ X1118 ) )
= ( secrecy_kE @ X1118 ) ),
inference(variable_rename,[status(thm)],[fact_13_KS2Expression_Osimps_I1_J]) ).
thf(c_0_8,negated_conjecture,
~ ( knowle945212990e_know @ a @ ( secrecy_kKS @ m ) ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
! [X6: secrecy_specID,X1: secrecy_Keys] :
( ( knowle945212990e_know @ X6 @ ( secrecy_kKS @ X1 ) )
| ~ ( knowle731562421_knows @ X6 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_kKS @ X1 ) ) @ nil_Se901661471ession ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
! [X1: secrecy_Keys] :
( ( secrec1016742679ession @ ( secrecy_kKS @ X1 ) )
= ( secrecy_kE @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,negated_conjecture,
~ ( knowle945212990e_know @ a @ ( secrecy_kKS @ m ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_12,plain,
! [X6: secrecy_specID,X1: secrecy_Keys] :
( ( knowle945212990e_know @ X6 @ ( secrecy_kKS @ X1 ) )
| ~ ( knowle731562421_knows @ X6 @ ( cons_S112077679ession @ ( secrecy_kE @ X1 ) @ nil_Se901661471ession ) ) ),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_13,plain,
knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_kE @ m ) @ nil_Se901661471ession ),
inference(split_conjunct,[status(thm)],[fact_0_assms]) ).
thf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP084^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n019.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 19:50:02 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
% 0.08/0.25 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.JUJc0FC5lT/E---3.1_1262573.p
% 0.22/0.31 % Version: 3.5.1-ho
% 0.22/0.31 % Preprocessing class: HSLMSMSMSSMNHFA.
% 0.22/0.31 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.31 % Starting full_lambda_6 with 1200s (4) cores
% 0.22/0.31 % Starting additional_ho_6 with 300s (1) cores
% 0.22/0.31 % Starting new_ho_9 with 300s (1) cores
% 0.22/0.31 % Starting full_lambda_3 with 300s (1) cores
% 0.22/0.31 % Starting post_as_ho6 with 300s (1) cores
% 0.22/0.31 % additional_ho_6 with pid 1262587 completed with status 0
% 0.22/0.31 % Result found by additional_ho_6
% 0.22/0.31 % Preprocessing class: HSLMSMSMSSMNHFA.
% 0.22/0.31 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.31 % Starting full_lambda_6 with 1200s (4) cores
% 0.22/0.31 % Starting additional_ho_6 with 300s (1) cores
% 0.22/0.31 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4.0,,2,20000,1.0))
% 0.22/0.31 % SinE strategy is GSinE(CountFormulas,hypos,4.0,,2,20000,1.0)
% 0.22/0.31 % Search class: HGHSM-FSLF31-MHFFFSBN
% 0.22/0.31 % partial match(1): HGHSM-FSLM31-MHFFFSBN
% 0.22/0.31 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.31 % Starting SubtermCWHack with 31s (1) cores
% 0.22/0.31 % SubtermCWHack with pid 1262593 completed with status 0
% 0.22/0.31 % Result found by SubtermCWHack
% 0.22/0.31 % Preprocessing class: HSLMSMSMSSMNHFA.
% 0.22/0.31 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.31 % Starting full_lambda_6 with 1200s (4) cores
% 0.22/0.31 % Starting additional_ho_6 with 300s (1) cores
% 0.22/0.31 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4.0,,2,20000,1.0))
% 0.22/0.31 % SinE strategy is GSinE(CountFormulas,hypos,4.0,,2,20000,1.0)
% 0.22/0.31 % Search class: HGHSM-FSLF31-MHFFFSBN
% 0.22/0.31 % partial match(1): HGHSM-FSLM31-MHFFFSBN
% 0.22/0.31 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.31 % Starting SubtermCWHack with 31s (1) cores
% 0.22/0.31 % Preprocessing time : 0.004 s
% 0.22/0.31
% 0.22/0.31 % Proof found!
% 0.22/0.31 % SZS status Theorem
% 0.22/0.31 % SZS output start CNFRefutation
% See solution above
% 0.22/0.31 % Parsed axioms : 490
% 0.22/0.31 % Removed by relevancy pruning/SinE : 426
% 0.22/0.31 % Initial clauses : 139
% 0.22/0.31 % Removed in clause preprocessing : 6
% 0.22/0.31 % Initial clauses in saturation : 133
% 0.22/0.31 % Processed clauses : 129
% 0.22/0.31 % ...of these trivial : 10
% 0.22/0.31 % ...subsumed : 38
% 0.22/0.31 % ...remaining for further processing : 81
% 0.22/0.31 % Other redundant clauses eliminated : 37
% 0.22/0.31 % Clauses deleted for lack of memory : 0
% 0.22/0.31 % Backward-subsumed : 2
% 0.22/0.31 % Backward-rewritten : 3
% 0.22/0.31 % Generated clauses : 185
% 0.22/0.31 % ...of the previous two non-redundant : 109
% 0.22/0.31 % ...aggressively subsumed : 0
% 0.22/0.31 % Contextual simplify-reflections : 0
% 0.22/0.31 % Paramodulations : 143
% 0.22/0.31 % Factorizations : 4
% 0.22/0.31 % NegExts : 0
% 0.22/0.31 % Equation resolutions : 44
% 0.22/0.31 % Disequality decompositions : 0
% 0.22/0.31 % Total rewrite steps : 54
% 0.22/0.31 % ...of those cached : 33
% 0.22/0.31 % Propositional unsat checks : 0
% 0.22/0.31 % Propositional check models : 0
% 0.22/0.31 % Propositional check unsatisfiable : 0
% 0.22/0.31 % Propositional clauses : 0
% 0.22/0.31 % Propositional clauses after purity: 0
% 0.22/0.31 % Propositional unsat core size : 0
% 0.22/0.31 % Propositional preprocessing time : 0.000
% 0.22/0.31 % Propositional encoding time : 0.000
% 0.22/0.31 % Propositional solver time : 0.000
% 0.22/0.31 % Success case prop preproc time : 0.000
% 0.22/0.31 % Success case prop encoding time : 0.000
% 0.22/0.31 % Success case prop solver time : 0.000
% 0.22/0.31 % Current number of processed clauses : 64
% 0.22/0.31 % Positive orientable unit clauses : 15
% 0.22/0.31 % Positive unorientable unit clauses: 0
% 0.22/0.31 % Negative unit clauses : 8
% 0.22/0.31 % Non-unit-clauses : 41
% 0.22/0.31 % Current number of unprocessed clauses: 102
% 0.22/0.31 % ...number of literals in the above : 357
% 0.22/0.31 % Current number of archived formulas : 0
% 0.22/0.31 % Current number of archived clauses : 5
% 0.22/0.31 % Clause-clause subsumption calls (NU) : 475
% 0.22/0.31 % Rec. Clause-clause subsumption calls : 434
% 0.22/0.31 % Non-unit clause-clause subsumptions : 25
% 0.22/0.31 % Unit Clause-clause subsumption calls : 65
% 0.22/0.31 % Rewrite failures with RHS unbound : 0
% 0.22/0.31 % BW rewrite match attempts : 3
% 0.22/0.31 % BW rewrite match successes : 3
% 0.22/0.31 % Condensation attempts : 0
% 0.22/0.31 % Condensation successes : 0
% 0.22/0.31 % Termbank termtop insertions : 18796
% 0.22/0.31 % Search garbage collected termcells : 7493
% 0.22/0.31
% 0.22/0.31 % -------------------------------------------------
% 0.22/0.31 % User time : 0.020 s
% 0.22/0.31 % System time : 0.007 s
% 0.22/0.31 % Total time : 0.026 s
% 0.22/0.31 % Maximum resident set size: 5580 pages
% 0.22/0.31
% 0.22/0.31 % -------------------------------------------------
% 0.22/0.31 % User time : 0.037 s
% 0.22/0.31 % System time : 0.012 s
% 0.22/0.31 % Total time : 0.049 s
% 0.22/0.31 % Maximum resident set size: 6144 pages
% 0.22/0.31 % E exiting
%------------------------------------------------------------------------------