%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYO899^8 : 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 : 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 08:43:32 AM UTC 2026
% Result : Theorem 0.09s 0.24s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 77 ( 8 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 135 ( 17 ~; 11 |; 7 &; 91 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 35 ( 16 ^; 15 !; 4 ?; 35 :)
% 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_32,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(decl_33,type,
p: mworld > $o ).
thf(decl_34,type,
q: mworld > $o ).
thf(decl_35,type,
esk1_0: mworld ).
thf(con,conjecture,
mlocal @ ( mimplies @ ( mdia @ ( mimplies @ p @ ( mbox @ q ) ) ) @ ( mimplies @ ( mbox @ p ) @ ( mdia @ q ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.5JymrESyTB/E---3.1_1602468.p',con) ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.5JymrESyTB/E---3.1_1602468.p',mlocal_def) ).
thf(mimplies_def,axiom,
( mimplies
= ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
( ( X2 @ X3 )
=> ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.5JymrESyTB/E---3.1_1602468.p',mimplies_def) ).
thf(mbox_def,axiom,
( mbox
= ( ^ [X1: mworld > $o,X3: mworld] :
! [X5: mworld] :
( ( mrel @ X3 @ X5 )
=> ( X1 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.5JymrESyTB/E---3.1_1602468.p',mbox_def) ).
thf(mdia_def,axiom,
( mdia
= ( ^ [X1: mworld > $o,X3: mworld] :
? [X5: mworld] :
( ( mrel @ X3 @ X5 )
& ( X1 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.5JymrESyTB/E---3.1_1602468.p',mdia_def) ).
thf(mrel_reflexive,axiom,
! [X3: mworld] : ( mrel @ X3 @ X3 ),
file('/export/starexec/sandbox2/tmp/tmp.5JymrESyTB/E---3.1_1602468.p',mrel_reflexive) ).
thf(c_0_6,negated_conjecture,
~ ( mlocal @ ( mimplies @ ( mdia @ ( mimplies @ p @ ( mbox @ q ) ) ) @ ( mimplies @ ( mbox @ p ) @ ( mdia @ q ) ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_7,plain,
( mlocal
= ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
inference(fof_simplification,[status(thm)],[mlocal_def]) ).
thf(c_0_8,plain,
( mimplies
= ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
( ( Z0 @ Z2 )
=> ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies_def]) ).
thf(c_0_9,plain,
( mbox
= ( ^ [Z0: mworld > $o,Z1: mworld] :
! [X5: mworld] :
( ( mrel @ Z1 @ X5 )
=> ( Z0 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox_def]) ).
thf(c_0_10,plain,
( mdia
= ( ^ [Z0: mworld > $o,Z1: mworld] :
? [X5: mworld] :
( ( mrel @ Z1 @ X5 )
& ( Z0 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[mdia_def]) ).
thf(c_0_11,negated_conjecture,
~ ( ? [X8: mworld] :
( ( mrel @ mactual @ X8 )
& ( ( p @ X8 )
=> ! [X7: mworld] :
( ( mrel @ X8 @ X7 )
=> ( q @ X7 ) ) ) )
=> ( ! [X9: mworld] :
( ( mrel @ mactual @ X9 )
=> ( p @ X9 ) )
=> ? [X10: mworld] :
( ( mrel @ mactual @ X10 )
& ( q @ X10 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9]),c_0_10]) ).
thf(c_0_12,negated_conjecture,
! [X13: mworld,X14: mworld,X15: mworld] :
( ( mrel @ mactual @ esk1_0 )
& ( ~ ( p @ esk1_0 )
| ~ ( mrel @ esk1_0 @ X13 )
| ( q @ X13 ) )
& ( ~ ( mrel @ mactual @ X14 )
| ( p @ X14 ) )
& ( ~ ( mrel @ mactual @ X15 )
| ~ ( q @ X15 ) ) ),
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_11])])])])]) ).
thf(c_0_13,negated_conjecture,
! [X3: mworld] :
( ~ ( mrel @ mactual @ X3 )
| ~ ( q @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_14,negated_conjecture,
! [X3: mworld] :
( ( q @ X3 )
| ~ ( p @ esk1_0 )
| ~ ( mrel @ esk1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_15,negated_conjecture,
! [X3: mworld] :
( ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ esk1_0 @ X3 )
| ~ ( p @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_16,negated_conjecture,
! [X3: mworld] :
( ( p @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_17,negated_conjecture,
mrel @ mactual @ esk1_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_18,plain,
! [X11: mworld] : ( mrel @ X11 @ X11 ),
inference(variable_rename,[status(thm)],[mrel_reflexive]) ).
thf(c_0_19,negated_conjecture,
! [X3: mworld] :
( ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ esk1_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
thf(c_0_20,plain,
! [X3: mworld] : ( mrel @ X3 @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO899^8 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n004.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 17:26:21 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.22 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.5JymrESyTB/E---3.1_1602468.p
% 0.09/0.24 % Version: 3.5.1-ho
% 0.09/0.24 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.09/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.24 % Starting new_ho_9 with 1500s (5) cores
% 0.09/0.24 % Starting post_as_ho1 with 300s (1) cores
% 0.09/0.24 % Starting sh1l with 300s (1) cores
% 0.09/0.24 % Starting post_as_ho10 with 300s (1) cores
% 0.09/0.24 % post_as_ho1 with pid 1602482 completed with status 0
% 0.09/0.24 % Result found by post_as_ho1
% 0.09/0.24 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.09/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.24 % Starting new_ho_9 with 1500s (5) cores
% 0.09/0.24 % Starting post_as_ho1 with 300s (1) cores
% 0.09/0.24 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.24 % No SInE strategy applied
% 0.09/0.24 % Search class: HHHNF-FFSF00-SHSSMFNN
% 0.09/0.24 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.24 % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.24 % SubtermCWHack with pid 1602486 completed with status 0
% 0.09/0.24 % Result found by SubtermCWHack
% 0.09/0.24 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.09/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.24 % Starting new_ho_9 with 1500s (5) cores
% 0.09/0.24 % Starting post_as_ho1 with 300s (1) cores
% 0.09/0.24 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.24 % No SInE strategy applied
% 0.09/0.24 % Search class: HHHNF-FFSF00-SHSSMFNN
% 0.09/0.24 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.24 % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.24 % Preprocessing time : 0.001 s
% 0.09/0.24
% 0.09/0.24 % Proof found!
% 0.09/0.24 % SZS status Theorem
% 0.09/0.24 % SZS output start CNFRefutation
% See solution above
% 0.09/0.24 % Parsed axioms : 23
% 0.09/0.24 % Removed by relevancy pruning/SinE : 0
% 0.09/0.24 % Initial clauses : 18
% 0.09/0.24 % Removed in clause preprocessing : 13
% 0.09/0.24 % Initial clauses in saturation : 5
% 0.09/0.24 % Processed clauses : 7
% 0.09/0.24 % ...of these trivial : 0
% 0.09/0.24 % ...subsumed : 0
% 0.09/0.24 % ...remaining for further processing : 7
% 0.09/0.24 % Other redundant clauses eliminated : 0
% 0.09/0.24 % Clauses deleted for lack of memory : 0
% 0.09/0.24 % Backward-subsumed : 1
% 0.09/0.24 % Backward-rewritten : 0
% 0.09/0.24 % Generated clauses : 3
% 0.09/0.24 % ...of the previous two non-redundant : 2
% 0.09/0.24 % ...aggressively subsumed : 0
% 0.09/0.24 % Contextual simplify-reflections : 0
% 0.09/0.24 % Paramodulations : 3
% 0.09/0.24 % Factorizations : 0
% 0.09/0.24 % NegExts : 0
% 0.09/0.24 % Equation resolutions : 0
% 0.09/0.24 % Disequality decompositions : 0
% 0.09/0.24 % Total rewrite steps : 2
% 0.09/0.24 % ...of those cached : 1
% 0.09/0.24 % Propositional unsat checks : 0
% 0.09/0.24 % Propositional check models : 0
% 0.09/0.24 % Propositional check unsatisfiable : 0
% 0.09/0.24 % Propositional clauses : 0
% 0.09/0.24 % Propositional clauses after purity: 0
% 0.09/0.24 % Propositional unsat core size : 0
% 0.09/0.24 % Propositional preprocessing time : 0.000
% 0.09/0.24 % Propositional encoding time : 0.000
% 0.09/0.24 % Propositional solver time : 0.000
% 0.09/0.24 % Success case prop preproc time : 0.000
% 0.09/0.24 % Success case prop encoding time : 0.000
% 0.09/0.24 % Success case prop solver time : 0.000
% 0.09/0.24 % Current number of processed clauses : 6
% 0.09/0.24 % Positive orientable unit clauses : 2
% 0.09/0.24 % Positive unorientable unit clauses: 0
% 0.09/0.24 % Negative unit clauses : 0
% 0.09/0.24 % Non-unit-clauses : 4
% 0.09/0.24 % Current number of unprocessed clauses: 0
% 0.09/0.24 % ...number of literals in the above : 0
% 0.09/0.24 % Current number of archived formulas : 0
% 0.09/0.24 % Current number of archived clauses : 1
% 0.09/0.24 % Clause-clause subsumption calls (NU) : 2
% 0.09/0.24 % Rec. Clause-clause subsumption calls : 2
% 0.09/0.24 % Non-unit clause-clause subsumptions : 1
% 0.09/0.24 % Unit Clause-clause subsumption calls : 0
% 0.09/0.24 % Rewrite failures with RHS unbound : 0
% 0.09/0.24 % BW rewrite match attempts : 1
% 0.09/0.24 % BW rewrite match successes : 0
% 0.09/0.24 % Condensation attempts : 0
% 0.09/0.24 % Condensation successes : 0
% 0.09/0.24 % Termbank termtop insertions : 995
% 0.09/0.24 % Search garbage collected termcells : 234
% 0.09/0.24
% 0.09/0.24 % -------------------------------------------------
% 0.09/0.24 % User time : 0.003 s
% 0.09/0.24 % System time : 0.002 s
% 0.09/0.24 % Total time : 0.005 s
% 0.09/0.24 % Maximum resident set size: 3644 pages
% 0.09/0.24
% 0.09/0.24 % -------------------------------------------------
% 0.09/0.24 % User time : 0.004 s
% 0.09/0.24 % System time : 0.006 s
% 0.09/0.24 % Total time : 0.009 s
% 0.09/0.24 % Maximum resident set size: 4864 pages
% 0.09/0.24 % E exiting
%------------------------------------------------------------------------------