%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL954^19 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/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 08:12:53 AM UTC 2026
% Result : Theorem 0.05s 0.23s
% Output : CNFRefutation 0.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 6 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 65 ( 6 ~; 2 |; 3 &; 46 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 19 ( 12 ^; 7 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mworld: $tType ).
thf(decl_23,type,
mrel: mworld > mworld > $o ).
thf(decl_24,type,
mactual: mworld ).
thf(decl_25,type,
mlocal: ( mworld > $o ) > $o ).
thf(decl_29,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(decl_31,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(decl_37,type,
true: mworld > $o ).
thf(decl_70,type,
esk1_0: mworld ).
thf(decl_71,type,
esk2_0: mworld ).
thf(cl5_nebula_array_0001,conjecture,
mlocal @ ( mbox @ ( mimplies @ ( mbox @ true ) @ ( mbox @ true ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.koLrO8WcK4/E---3.1_4132939.p',cl5_nebula_array_0001) ).
thf(mbox_def,axiom,
( mbox
= ( ^ [X1: mworld > $o,X3: mworld] :
! [X5: mworld] :
( ( mrel @ X3 @ X5 )
=> ( X1 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.koLrO8WcK4/E---3.1_4132939.p',mbox_def) ).
thf(mimplies_def,axiom,
( mimplies
= ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
( ( X2 @ X3 )
=> ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.koLrO8WcK4/E---3.1_4132939.p',mimplies_def) ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.koLrO8WcK4/E---3.1_4132939.p',mlocal_def) ).
thf(c_0_4,negated_conjecture,
~ ( mlocal @ ( mbox @ ( mimplies @ ( mbox @ true ) @ ( mbox @ true ) ) ) ),
inference(assume_negation,[status(cth)],[cl5_nebula_array_0001]) ).
thf(c_0_5,plain,
( mbox
= ( ^ [Z0: mworld > $o,Z1: mworld] :
! [X5: mworld] :
( ( mrel @ Z1 @ X5 )
=> ( Z0 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox_def]) ).
thf(c_0_6,plain,
( mimplies
= ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
( ( Z0 @ Z2 )
=> ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies_def]) ).
thf(c_0_7,plain,
( mlocal
= ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
inference(fof_simplification,[status(thm)],[mlocal_def]) ).
thf(c_0_8,negated_conjecture,
~ ! [X149: mworld] :
( ( mrel @ mactual @ X149 )
=> ( ! [X147: mworld] :
( ( mrel @ X149 @ X147 )
=> ( true @ X147 ) )
=> ! [X148: mworld] :
( ( mrel @ X149 @ X148 )
=> ( true @ X148 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_4,c_0_5]),c_0_6]),c_0_7]) ).
thf(c_0_9,negated_conjecture,
! [X151: mworld] :
( ( mrel @ mactual @ esk1_0 )
& ( ~ ( mrel @ esk1_0 @ X151 )
| ( true @ X151 ) )
& ( mrel @ esk1_0 @ esk2_0 )
& ~ ( true @ 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_8])])])])]) ).
thf(c_0_10,negated_conjecture,
~ ( true @ esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_11,negated_conjecture,
! [X3: mworld] :
( ( true @ X3 )
| ~ ( mrel @ esk1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_12,negated_conjecture,
mrel @ esk1_0 @ esk2_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL954^19 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.03 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.15 % Computer : n012.cluster.edu
% 0.05/0.15 % Model : x86_64 x86_64
% 0.05/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.15 % Memory : 8046.5625MB
% 0.05/0.15 % OS : Linux 6.8.0-71-generic
% 0.05/0.15 % CPULimit : 300
% 0.05/0.15 % WCLimit : 300
% 0.05/0.15 % DateTime : Tue Sep 29 10:53:33 UTC 2026
% 0.05/0.15 % CPUTime :
% 0.05/0.15 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.18 Running higher-order theorem proving
% 0.05/0.21 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.koLrO8WcK4/E---3.1_4132939.p
% 0.05/0.23 % Version: 3.5.1-ho
% 0.05/0.23 % Preprocessing class: HSLSSMSMMLLNHSN.
% 0.05/0.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.05/0.23 % Starting new_ho_10 with 900s (3) cores
% 0.05/0.23 % Starting ehoh_best8_lambda with 900s (3) cores
% 0.05/0.23 % Starting ho_unfolding_3 with 300s (1) cores
% 0.05/0.23 % Starting new_ho_16 with 300s (1) cores
% 0.05/0.23 % new_ho_16 with pid 4132955 completed with status 0
% 0.05/0.23 % Result found by new_ho_16
% 0.05/0.23 % Preprocessing class: HSLSSMSMMLLNHSN.
% 0.05/0.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.05/0.23 % Starting new_ho_10 with 900s (3) cores
% 0.05/0.23 % Starting ehoh_best8_lambda with 900s (3) cores
% 0.05/0.23 % Starting ho_unfolding_3 with 300s (1) cores
% 0.05/0.23 % Starting new_ho_16 with 300s (1) cores
% 0.05/0.23 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = LambdaDef)
% 0.05/0.23 % SinE strategy is LambdaDef
% 0.05/0.23 % Search class: HHUNF-FFSF00-SHSSMFNN
% 0.05/0.23 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.05/0.23 % Starting SubtermCWHack with 28s (1) cores
% 0.05/0.23 % SubtermCWHack with pid 4132956 completed with status 0
% 0.05/0.23 % Result found by SubtermCWHack
% 0.05/0.23 % Preprocessing class: HSLSSMSMMLLNHSN.
% 0.05/0.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.05/0.23 % Starting new_ho_10 with 900s (3) cores
% 0.05/0.23 % Starting ehoh_best8_lambda with 900s (3) cores
% 0.05/0.23 % Starting ho_unfolding_3 with 300s (1) cores
% 0.05/0.23 % Starting new_ho_16 with 300s (1) cores
% 0.05/0.23 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = LambdaDef)
% 0.05/0.23 % SinE strategy is LambdaDef
% 0.05/0.23 % Search class: HHUNF-FFSF00-SHSSMFNN
% 0.05/0.23 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.05/0.23 % Starting SubtermCWHack with 28s (1) cores
% 0.05/0.23 % Preprocessing time : 0.001 s
% 0.05/0.23
% 0.05/0.23 % Proof found!
% 0.05/0.23 % SZS status Theorem
% 0.05/0.23 % SZS output start CNFRefutation
% See solution above
% 0.05/0.23 % Parsed axioms : 195
% 0.05/0.23 % Removed by relevancy pruning/SinE : 184
% 0.05/0.23 % Initial clauses : 4
% 0.05/0.23 % Removed in clause preprocessing : 0
% 0.05/0.23 % Initial clauses in saturation : 4
% 0.05/0.23 % Processed clauses : 4
% 0.05/0.23 % ...of these trivial : 0
% 0.05/0.23 % ...subsumed : 0
% 0.05/0.23 % ...remaining for further processing : 4
% 0.05/0.23 % Other redundant clauses eliminated : 0
% 0.05/0.23 % Clauses deleted for lack of memory : 0
% 0.05/0.23 % Backward-subsumed : 0
% 0.05/0.23 % Backward-rewritten : 0
% 0.05/0.23 % Generated clauses : 1
% 0.05/0.23 % ...of the previous two non-redundant : 0
% 0.05/0.23 % ...aggressively subsumed : 0
% 0.05/0.23 % Contextual simplify-reflections : 0
% 0.05/0.23 % Paramodulations : 1
% 0.05/0.23 % Factorizations : 0
% 0.05/0.23 % NegExts : 0
% 0.05/0.23 % Equation resolutions : 0
% 0.05/0.23 % Disequality decompositions : 0
% 0.05/0.23 % Total rewrite steps : 1
% 0.05/0.23 % ...of those cached : 0
% 0.05/0.23 % Propositional unsat checks : 0
% 0.05/0.23 % Propositional check models : 0
% 0.05/0.23 % Propositional check unsatisfiable : 0
% 0.05/0.23 % Propositional clauses : 0
% 0.05/0.23 % Propositional clauses after purity: 0
% 0.05/0.23 % Propositional unsat core size : 0
% 0.05/0.23 % Propositional preprocessing time : 0.000
% 0.05/0.23 % Propositional encoding time : 0.000
% 0.05/0.23 % Propositional solver time : 0.000
% 0.05/0.23 % Success case prop preproc time : 0.000
% 0.05/0.23 % Success case prop encoding time : 0.000
% 0.05/0.23 % Success case prop solver time : 0.000
% 0.05/0.23 % Current number of processed clauses : 4
% 0.05/0.23 % Positive orientable unit clauses : 2
% 0.05/0.23 % Positive unorientable unit clauses: 0
% 0.05/0.23 % Negative unit clauses : 1
% 0.05/0.23 % Non-unit-clauses : 1
% 0.05/0.23 % Current number of unprocessed clauses: 0
% 0.05/0.23 % ...number of literals in the above : 0
% 0.05/0.23 % Current number of archived formulas : 0
% 0.05/0.23 % Current number of archived clauses : 0
% 0.05/0.23 % Clause-clause subsumption calls (NU) : 0
% 0.05/0.23 % Rec. Clause-clause subsumption calls : 0
% 0.05/0.23 % Non-unit clause-clause subsumptions : 0
% 0.05/0.23 % Unit Clause-clause subsumption calls : 0
% 0.05/0.23 % Rewrite failures with RHS unbound : 0
% 0.05/0.23 % BW rewrite match attempts : 0
% 0.05/0.23 % BW rewrite match successes : 0
% 0.05/0.23 % Condensation attempts : 0
% 0.05/0.23 % Condensation successes : 0
% 0.05/0.23 % Termbank termtop insertions : 5569
% 0.05/0.23 % Search garbage collected termcells : 2414
% 0.05/0.23
% 0.05/0.23 % -------------------------------------------------
% 0.05/0.23 % User time : 0.003 s
% 0.05/0.23 % System time : 0.003 s
% 0.05/0.23 % Total time : 0.006 s
% 0.05/0.23 % Maximum resident set size: 4336 pages
% 0.05/0.23
% 0.05/0.23 % -------------------------------------------------
% 0.05/0.23 % User time : 0.009 s
% 0.05/0.23 % System time : 0.009 s
% 0.05/0.23 % Total time : 0.019 s
% 0.05/0.23 % Maximum resident set size: 5376 pages
% 0.05/0.23 % E exiting
%------------------------------------------------------------------------------