%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL719^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 08:12:05 AM UTC 2026
% Result : Theorem 0.22s 0.26s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 4 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 39 ( 7 ~; 3 |; 2 &; 24 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 6 ^; 9 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_50,type,
mvalid: ( $i > $o ) > $o ).
thf(decl_54,type,
rel_k: $i > $i > $o ).
thf(decl_55,type,
mbox_k: ( $i > $o ) > $i > $o ).
thf(decl_57,type,
phi: $i > $o ).
thf(decl_58,type,
esk1_0: $i ).
thf(decl_59,type,
esk2_0: $i ).
thf(conj,conjecture,
( ( mvalid @ phi )
=> ( mvalid @ ( mbox_k @ phi ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Y6Nzaaw7BN/E---3.1_501299.p',conj) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X6: $i > $o] :
! [X3: $i] : ( X6 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Y6Nzaaw7BN/E---3.1_501299.p',mvalid) ).
thf(mbox_k,axiom,
( mbox_k
= ( ^ [X6: $i > $o,X3: $i] :
! [X14: $i] :
( ~ ( rel_k @ X3 @ X14 )
| ( X6 @ X14 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Y6Nzaaw7BN/E---3.1_501299.p',mbox_k) ).
thf(c_0_3,negated_conjecture,
~ ( ( mvalid @ phi )
=> ( mvalid @ ( mbox_k @ phi ) ) ),
inference(assume_negation,[status(cth)],[conj]) ).
thf(c_0_4,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X3: $i] : ( Z0 @ X3 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_5,plain,
( mbox_k
= ( ^ [Z0: $i > $o,Z1: $i] :
! [X14: $i] :
( ~ ( rel_k @ Z1 @ X14 )
| ( Z0 @ X14 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox_k]) ).
thf(c_0_6,negated_conjecture,
~ ( ! [X22: $i] : ( phi @ X22 )
=> ! [X24: $i,X23: $i] :
( ~ ( rel_k @ X24 @ X23 )
| ( phi @ X23 ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_3,c_0_4]),c_0_5])]) ).
thf(c_0_7,negated_conjecture,
! [X25: $i] :
( ( phi @ X25 )
& ( rel_k @ esk1_0 @ esk2_0 )
& ~ ( phi @ esk2_0 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).
thf(c_0_8,negated_conjecture,
~ ( phi @ esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_9,negated_conjecture,
! [X3: $i] : ( phi @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL719^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n006.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 09:54:39 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.25 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.Y6Nzaaw7BN/E---3.1_501299.p
% 0.22/0.26 % Version: 3.5.1-ho
% 0.22/0.26 % Preprocessing class: HSMSSMSSMLMNHSN.
% 0.22/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.26 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.22/0.26 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.22/0.26 % Starting almost_fo_3_lam with 300s (1) cores
% 0.22/0.26 % Starting post_as_ho1 with 300s (1) cores
% 0.22/0.26 % ehoh_best2_full_lfho with pid 501314 completed with status 0
% 0.22/0.26 % Result found by ehoh_best2_full_lfho
% 0.22/0.26 % Preprocessing class: HSMSSMSSMLMNHSN.
% 0.22/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.26 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.22/0.26 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.22/0.26 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.26 % No SInE strategy applied
% 0.22/0.26 % Search class: HUUNF-FFSF00-SHSSMFNN
% 0.22/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.26 % SubtermCWHack with pid 501318 completed with status 0
% 0.22/0.26 % Result found by SubtermCWHack
% 0.22/0.26 % Preprocessing class: HSMSSMSSMLMNHSN.
% 0.22/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.26 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.22/0.26 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.22/0.26 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.22/0.26 % No SInE strategy applied
% 0.22/0.26 % Search class: HUUNF-FFSF00-SHSSMFNN
% 0.22/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.22/0.26 % Preprocessing time : 0.001 s
% 0.22/0.26
% 0.22/0.26 % Proof found!
% 0.22/0.26 % SZS status Theorem
% 0.22/0.26 % SZS output start CNFRefutation
% See solution above
% 0.22/0.26 % Parsed axioms : 70
% 0.22/0.26 % Removed by relevancy pruning/SinE : 0
% 0.22/0.26 % Initial clauses : 39
% 0.22/0.26 % Removed in clause preprocessing : 36
% 0.22/0.26 % Initial clauses in saturation : 3
% 0.22/0.26 % Processed clauses : 2
% 0.22/0.26 % ...of these trivial : 0
% 0.22/0.26 % ...subsumed : 0
% 0.22/0.26 % ...remaining for further processing : 1
% 0.22/0.26 % Other redundant clauses eliminated : 0
% 0.22/0.26 % Clauses deleted for lack of memory : 0
% 0.22/0.26 % Backward-subsumed : 0
% 0.22/0.26 % Backward-rewritten : 0
% 0.22/0.26 % Generated clauses : 0
% 0.22/0.26 % ...of the previous two non-redundant : 0
% 0.22/0.26 % ...aggressively subsumed : 0
% 0.22/0.26 % Contextual simplify-reflections : 0
% 0.22/0.26 % Paramodulations : 0
% 0.22/0.26 % Factorizations : 0
% 0.22/0.26 % NegExts : 0
% 0.22/0.26 % Equation resolutions : 0
% 0.22/0.26 % Disequality decompositions : 0
% 0.22/0.26 % Total rewrite steps : 1
% 0.22/0.26 % ...of those cached : 0
% 0.22/0.26 % Propositional unsat checks : 0
% 0.22/0.26 % Propositional check models : 0
% 0.22/0.26 % Propositional check unsatisfiable : 0
% 0.22/0.26 % Propositional clauses : 0
% 0.22/0.26 % Propositional clauses after purity: 0
% 0.22/0.26 % Propositional unsat core size : 0
% 0.22/0.26 % Propositional preprocessing time : 0.000
% 0.22/0.26 % Propositional encoding time : 0.000
% 0.22/0.26 % Propositional solver time : 0.000
% 0.22/0.26 % Success case prop preproc time : 0.000
% 0.22/0.26 % Success case prop encoding time : 0.000
% 0.22/0.26 % Success case prop solver time : 0.000
% 0.22/0.26 % Current number of processed clauses : 1
% 0.22/0.26 % Positive orientable unit clauses : 1
% 0.22/0.26 % Positive unorientable unit clauses: 0
% 0.22/0.26 % Negative unit clauses : 0
% 0.22/0.26 % Non-unit-clauses : 0
% 0.22/0.26 % Current number of unprocessed clauses: 1
% 0.22/0.26 % ...number of literals in the above : 1
% 0.22/0.26 % Current number of archived formulas : 0
% 0.22/0.26 % Current number of archived clauses : 0
% 0.22/0.26 % Clause-clause subsumption calls (NU) : 0
% 0.22/0.26 % Rec. Clause-clause subsumption calls : 0
% 0.22/0.26 % Non-unit clause-clause subsumptions : 0
% 0.22/0.26 % Unit Clause-clause subsumption calls : 0
% 0.22/0.26 % Rewrite failures with RHS unbound : 0
% 0.22/0.26 % BW rewrite match attempts : 0
% 0.22/0.26 % BW rewrite match successes : 0
% 0.22/0.26 % Condensation attempts : 0
% 0.22/0.26 % Condensation successes : 0
% 0.22/0.26 % Termbank termtop insertions : 2041
% 0.22/0.26 % Search garbage collected termcells : 321
% 0.22/0.26
% 0.22/0.26 % -------------------------------------------------
% 0.22/0.26 % User time : 0.004 s
% 0.22/0.26 % System time : 0.002 s
% 0.22/0.26 % Total time : 0.006 s
% 0.22/0.26 % Maximum resident set size: 3696 pages
% 0.22/0.26
% 0.22/0.26 % -------------------------------------------------
% 0.22/0.26 % User time : 0.007 s
% 0.22/0.26 % System time : 0.006 s
% 0.22/0.26 % Total time : 0.013 s
% 0.22/0.26 % Maximum resident set size: 4864 pages
% 0.22/0.26 % E exiting
%------------------------------------------------------------------------------