%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYO888^10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 08:44:56 AM UTC 2026
% Result : Theorem 0.25s 0.36s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 101 ( 10 equ; 0 cnn)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 203 ( 17 ~; 12 |; 8 &; 150 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 49 ( 28 ^; 21 !; 0 ?; 49 :)
% 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_27,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(decl_29,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(decl_31,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(decl_33,type,
eiw_di: $i > mworld > $o ).
thf(decl_34,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(decl_36,type,
f: $i > mworld > $o ).
thf(decl_37,type,
g: $i > mworld > $o ).
thf(decl_38,type,
h: $i > mworld > $o ).
thf(decl_40,type,
esk2_0: $i ).
thf(decl_41,type,
esk3_0: mworld ).
thf(con,conjecture,
( mlocal
@ ( mimplies
@ ( mand
@ ( mforall_di
@ ^ [X7: $i] : ( mimplies @ ( f @ X7 ) @ ( mbox @ ( g @ X7 ) ) ) )
@ ( mforall_di
@ ^ [X7: $i] : ( mimplies @ ( g @ X7 ) @ ( mbox @ ( h @ X7 ) ) ) ) )
@ ( mforall_di
@ ^ [X7: $i] : ( mimplies @ ( f @ X7 ) @ ( mbox @ ( h @ X7 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.dNA84vBoue/E---3.1_651183.p',con) ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
file('/export/starexec/sandbox/tmp/tmp.dNA84vBoue/E---3.1_651183.p',mlocal_def) ).
thf(mand_def,axiom,
( mand
= ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
( ( X2 @ X3 )
& ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.dNA84vBoue/E---3.1_651183.p',mand_def) ).
thf(mimplies_def,axiom,
( mimplies
= ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
( ( X2 @ X3 )
=> ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.dNA84vBoue/E---3.1_651183.p',mimplies_def) ).
thf(mbox_def,axiom,
( mbox
= ( ^ [X1: mworld > $o,X3: mworld] :
! [X5: mworld] :
( ( mrel @ X3 @ X5 )
=> ( X1 @ X5 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.dNA84vBoue/E---3.1_651183.p',mbox_def) ).
thf(mforall_di_def,axiom,
( mforall_di
= ( ^ [X8: $i > mworld > $o,X3: mworld] :
! [X7: $i] :
( ( eiw_di @ X7 @ X3 )
=> ( X8 @ X7 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.dNA84vBoue/E---3.1_651183.p',mforall_di_def) ).
thf(mrel_reflexive,axiom,
! [X3: mworld] : ( mrel @ X3 @ X3 ),
file('/export/starexec/sandbox/tmp/tmp.dNA84vBoue/E---3.1_651183.p',mrel_reflexive) ).
thf(c_0_7,negated_conjecture,
~ ( mlocal
@ ( mimplies
@ ( mand
@ ( mforall_di
@ ^ [X7: $i] : ( mimplies @ ( f @ X7 ) @ ( mbox @ ( g @ X7 ) ) ) )
@ ( mforall_di
@ ^ [X7: $i] : ( mimplies @ ( g @ X7 ) @ ( mbox @ ( h @ X7 ) ) ) ) )
@ ( mforall_di
@ ^ [X7: $i] : ( mimplies @ ( f @ X7 ) @ ( mbox @ ( h @ X7 ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_8,plain,
( mlocal
= ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
inference(fof_simplification,[status(thm)],[mlocal_def]) ).
thf(c_0_9,plain,
( mand
= ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
( ( Z0 @ Z2 )
& ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mand_def]) ).
thf(c_0_10,plain,
( mimplies
= ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
( ( Z0 @ Z2 )
=> ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies_def]) ).
thf(c_0_11,plain,
( mbox
= ( ^ [Z0: mworld > $o,Z1: mworld] :
! [X5: mworld] :
( ( mrel @ Z1 @ X5 )
=> ( Z0 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox_def]) ).
thf(c_0_12,plain,
( mforall_di
= ( ^ [Z0: $i > mworld > $o,Z1: mworld] :
! [X7: $i] :
( ( eiw_di @ X7 @ Z1 )
=> ( Z0 @ X7 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[mforall_di_def]) ).
thf(c_0_13,negated_conjecture,
~ ( ( ! [X17: $i] :
( ( eiw_di @ X17 @ mactual )
=> ( ( f @ X17 @ mactual )
=> ! [X16: mworld] :
( ( mrel @ mactual @ X16 )
=> ( g @ X17 @ X16 ) ) ) )
& ! [X19: $i] :
( ( eiw_di @ X19 @ mactual )
=> ( ( g @ X19 @ mactual )
=> ! [X18: mworld] :
( ( mrel @ mactual @ X18 )
=> ( h @ X19 @ X18 ) ) ) ) )
=> ! [X21: $i] :
( ( eiw_di @ X21 @ mactual )
=> ( ( f @ X21 @ mactual )
=> ! [X20: mworld] :
( ( mrel @ mactual @ X20 )
=> ( h @ X21 @ X20 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_7]),c_0_8]),c_0_9]),c_0_10]),c_0_11]),c_0_12]) ).
thf(c_0_14,negated_conjecture,
! [X28: $i,X29: mworld,X30: $i,X31: mworld] :
( ( ~ ( eiw_di @ X28 @ mactual )
| ~ ( f @ X28 @ mactual )
| ~ ( mrel @ mactual @ X29 )
| ( g @ X28 @ X29 ) )
& ( ~ ( eiw_di @ X30 @ mactual )
| ~ ( g @ X30 @ mactual )
| ~ ( mrel @ mactual @ X31 )
| ( h @ X30 @ X31 ) )
& ( eiw_di @ esk2_0 @ mactual )
& ( f @ esk2_0 @ mactual )
& ( mrel @ mactual @ esk3_0 )
& ~ ( h @ esk2_0 @ esk3_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_13])])])])]) ).
thf(c_0_15,negated_conjecture,
~ ( h @ esk2_0 @ esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_16,negated_conjecture,
! [X7: $i,X3: mworld] :
( ( h @ X7 @ X3 )
| ~ ( eiw_di @ X7 @ mactual )
| ~ ( g @ X7 @ mactual )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_17,negated_conjecture,
eiw_di @ esk2_0 @ mactual,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_18,negated_conjecture,
mrel @ mactual @ esk3_0,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_19,plain,
! [X22: mworld] : ( mrel @ X22 @ X22 ),
inference(variable_rename,[status(thm)],[mrel_reflexive]) ).
thf(c_0_20,negated_conjecture,
~ ( g @ esk2_0 @ mactual ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18])]) ).
thf(c_0_21,negated_conjecture,
! [X7: $i,X3: mworld] :
( ( g @ X7 @ X3 )
| ~ ( eiw_di @ X7 @ mactual )
| ~ ( f @ X7 @ mactual )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_22,negated_conjecture,
f @ esk2_0 @ mactual,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_23,plain,
! [X3: mworld] : ( mrel @ X3 @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_17]),c_0_22]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYO888^10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 % Computer : n016.cluster.edu
% 0.10/0.25 % Model : x86_64 x86_64
% 0.10/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.25 % Memory : 8046.5625MB
% 0.10/0.25 % OS : Linux 6.8.0-71-generic
% 0.10/0.25 % CPULimit : 300
% 0.10/0.25 % WCLimit : 300
% 0.10/0.25 % DateTime : Tue Sep 29 17:30:34 UTC 2026
% 0.10/0.25 % CPUTime :
% 0.10/0.25 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.31 Running higher-order theorem proving
% 0.25/0.33 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.dNA84vBoue/E---3.1_651183.p
% 0.25/0.36 % Version: 3.5.1-ho
% 0.25/0.36 % Preprocessing class: HSMSSMSSMLMNHSN.
% 0.25/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.36 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.25/0.36 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.25/0.36 % Starting almost_fo_3_lam with 300s (1) cores
% 0.25/0.36 % Starting post_as_ho1 with 300s (1) cores
% 0.25/0.36 % post_as_ho1 with pid 651199 completed with status 0
% 0.25/0.36 % Result found by post_as_ho1
% 0.25/0.36 % Preprocessing class: HSMSSMSSMLMNHSN.
% 0.25/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.36 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.25/0.36 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.25/0.36 % Starting almost_fo_3_lam with 300s (1) cores
% 0.25/0.36 % Starting post_as_ho1 with 300s (1) cores
% 0.25/0.36 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.36 % No SInE strategy applied
% 0.25/0.36 % Search class: HHUNS-FFSS11-SHSSMFNN
% 0.25/0.36 % partial match(2): HHHNS-FFSF11-SHSSMFNN
% 0.25/0.36 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.25/0.36 % Starting SubtermCWHack with 28s (1) cores
% 0.25/0.36 % SubtermCWHack with pid 651200 completed with status 0
% 0.25/0.36 % Result found by SubtermCWHack
% 0.25/0.36 % Preprocessing class: HSMSSMSSMLMNHSN.
% 0.25/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.36 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.25/0.36 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.25/0.36 % Starting almost_fo_3_lam with 300s (1) cores
% 0.25/0.36 % Starting post_as_ho1 with 300s (1) cores
% 0.25/0.36 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.36 % No SInE strategy applied
% 0.25/0.36 % Search class: HHUNS-FFSS11-SHSSMFNN
% 0.25/0.36 % partial match(2): HHHNS-FFSF11-SHSSMFNN
% 0.25/0.36 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.25/0.36 % Starting SubtermCWHack with 28s (1) cores
% 0.25/0.36 % Preprocessing time : 0.002 s
% 0.25/0.36
% 0.25/0.36 % Proof found!
% 0.25/0.36 % SZS status Theorem
% 0.25/0.36 % SZS output start CNFRefutation
% See solution above
% 0.25/0.36 % Parsed axioms : 31
% 0.25/0.36 % Removed by relevancy pruning/SinE : 0
% 0.25/0.36 % Initial clauses : 26
% 0.25/0.36 % Removed in clause preprocessing : 17
% 0.25/0.36 % Initial clauses in saturation : 9
% 0.25/0.36 % Processed clauses : 13
% 0.25/0.36 % ...of these trivial : 0
% 0.25/0.36 % ...subsumed : 1
% 0.25/0.36 % ...remaining for further processing : 12
% 0.25/0.36 % Other redundant clauses eliminated : 0
% 0.25/0.36 % Clauses deleted for lack of memory : 0
% 0.25/0.36 % Backward-subsumed : 0
% 0.25/0.36 % Backward-rewritten : 0
% 0.25/0.36 % Generated clauses : 6
% 0.25/0.36 % ...of the previous two non-redundant : 4
% 0.25/0.36 % ...aggressively subsumed : 0
% 0.25/0.36 % Contextual simplify-reflections : 0
% 0.25/0.36 % Paramodulations : 6
% 0.25/0.36 % Factorizations : 0
% 0.25/0.36 % NegExts : 0
% 0.25/0.36 % Equation resolutions : 0
% 0.25/0.36 % Disequality decompositions : 0
% 0.25/0.36 % Total rewrite steps : 5
% 0.25/0.36 % ...of those cached : 1
% 0.25/0.36 % Propositional unsat checks : 0
% 0.25/0.36 % Propositional check models : 0
% 0.25/0.36 % Propositional check unsatisfiable : 0
% 0.25/0.36 % Propositional clauses : 0
% 0.25/0.36 % Propositional clauses after purity: 0
% 0.25/0.36 % Propositional unsat core size : 0
% 0.25/0.36 % Propositional preprocessing time : 0.000
% 0.25/0.36 % Propositional encoding time : 0.000
% 0.25/0.36 % Propositional solver time : 0.000
% 0.25/0.36 % Success case prop preproc time : 0.000
% 0.25/0.36 % Success case prop encoding time : 0.000
% 0.25/0.36 % Success case prop solver time : 0.000
% 0.25/0.36 % Current number of processed clauses : 12
% 0.25/0.36 % Positive orientable unit clauses : 5
% 0.25/0.36 % Positive unorientable unit clauses: 0
% 0.25/0.36 % Negative unit clauses : 2
% 0.25/0.36 % Non-unit-clauses : 5
% 0.25/0.36 % Current number of unprocessed clauses: 0
% 0.25/0.36 % ...number of literals in the above : 0
% 0.25/0.36 % Current number of archived formulas : 0
% 0.25/0.36 % Current number of archived clauses : 0
% 0.25/0.36 % Clause-clause subsumption calls (NU) : 4
% 0.25/0.36 % Rec. Clause-clause subsumption calls : 4
% 0.25/0.36 % Non-unit clause-clause subsumptions : 1
% 0.25/0.36 % Unit Clause-clause subsumption calls : 1
% 0.25/0.36 % Rewrite failures with RHS unbound : 0
% 0.25/0.36 % BW rewrite match attempts : 1
% 0.25/0.36 % BW rewrite match successes : 0
% 0.25/0.36 % Condensation attempts : 0
% 0.25/0.36 % Condensation successes : 0
% 0.25/0.36 % Termbank termtop insertions : 1665
% 0.25/0.36 % Search garbage collected termcells : 477
% 0.25/0.36
% 0.25/0.36 % -------------------------------------------------
% 0.25/0.36 % User time : 0.008 s
% 0.25/0.36 % System time : 0.000 s
% 0.25/0.36 % Total time : 0.008 s
% 0.25/0.36 % Maximum resident set size: 3656 pages
% 0.25/0.36
% 0.25/0.36 % -------------------------------------------------
% 0.25/0.36 % User time : 0.009 s
% 0.25/0.36 % System time : 0.005 s
% 0.25/0.36 % Total time : 0.014 s
% 0.25/0.36 % Maximum resident set size: 4608 pages
% 0.25/0.36 % E exiting
%------------------------------------------------------------------------------