%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYO887^22 : 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 : n001.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 0.08s 0.23s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 68 ( 10 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 137 ( 14 ~; 9 |; 9 &; 99 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 2 con; 0-3 aty)
% Number of variables : 45 ( 24 ^; 14 !; 7 ?; 45 :)
% 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,
eiw_di: $i > mworld > $o ).
thf(decl_35,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(decl_36,type,
f: $i > mworld > $o ).
thf(decl_38,type,
esk2_1: mworld > $i ).
thf(con,conjecture,
( mlocal
@ ( mimplies
@ ( mbox
@ ( mexists_di
@ ^ [X7: $i] : ( f @ X7 ) ) )
@ ( mexists_di
@ ^ [X7: $i] : ( mdia @ ( f @ X7 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.QEFDvsgx7P/E---3.1_1555404.p',con) ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
file('/export/starexec/sandbox/tmp/tmp.QEFDvsgx7P/E---3.1_1555404.p',mlocal_def) ).
thf(mimplies_def,axiom,
( mimplies
= ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
( ( X2 @ X3 )
=> ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.QEFDvsgx7P/E---3.1_1555404.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.QEFDvsgx7P/E---3.1_1555404.p',mbox_def) ).
thf(mdia_def,axiom,
( mdia
= ( ^ [X1: mworld > $o,X3: mworld] :
? [X5: mworld] :
( ( mrel @ X3 @ X5 )
& ( X1 @ X5 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.QEFDvsgx7P/E---3.1_1555404.p',mdia_def) ).
thf(mexists_di_def,axiom,
( mexists_di
= ( ^ [X9: $i > mworld > $o,X3: mworld] :
? [X7: $i] :
( ( eiw_di @ X7 @ X3 )
& ( X9 @ X7 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.QEFDvsgx7P/E---3.1_1555404.p',mexists_di_def) ).
thf(mrel_reflexive,axiom,
! [X3: mworld] : ( mrel @ X3 @ X3 ),
file('/export/starexec/sandbox/tmp/tmp.QEFDvsgx7P/E---3.1_1555404.p',mrel_reflexive) ).
thf(c_0_7,negated_conjecture,
~ ( mlocal
@ ( mimplies
@ ( mbox
@ ( mexists_di
@ ^ [X7: $i] : ( f @ X7 ) ) )
@ ( mexists_di
@ ^ [X7: $i] : ( mdia @ ( f @ 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,
( mimplies
= ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
( ( Z0 @ Z2 )
=> ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies_def]) ).
thf(c_0_10,plain,
( mbox
= ( ^ [Z0: mworld > $o,Z1: mworld] :
! [X5: mworld] :
( ( mrel @ Z1 @ X5 )
=> ( Z0 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox_def]) ).
thf(c_0_11,plain,
( mdia
= ( ^ [Z0: mworld > $o,Z1: mworld] :
? [X5: mworld] :
( ( mrel @ Z1 @ X5 )
& ( Z0 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[mdia_def]) ).
thf(c_0_12,plain,
( mexists_di
= ( ^ [Z0: $i > mworld > $o,Z1: mworld] :
? [X7: $i] :
( ( eiw_di @ X7 @ Z1 )
& ( Z0 @ X7 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[mexists_di_def]) ).
thf(c_0_13,negated_conjecture,
~ ( ! [X20: mworld] :
( ( mrel @ mactual @ X20 )
=> ? [X19: $i] :
( ( eiw_di @ X19 @ X20 )
& ( f @ X19 @ X20 ) ) )
=> ? [X22: $i] :
( ( eiw_di @ X22 @ mactual )
& ? [X21: mworld] :
( ( mrel @ mactual @ X21 )
& ( f @ X22 @ X21 ) ) ) ),
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,
! [X32: mworld,X34: $i,X35: mworld] :
( ( ( eiw_di @ ( esk2_1 @ X32 ) @ X32 )
| ~ ( mrel @ mactual @ X32 ) )
& ( ( f @ ( esk2_1 @ X32 ) @ X32 )
| ~ ( mrel @ mactual @ X32 ) )
& ( ~ ( eiw_di @ X34 @ mactual )
| ~ ( mrel @ mactual @ X35 )
| ~ ( f @ X34 @ X35 ) ) ),
inference(distribute,[status(thm)],[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,
! [X7: $i,X3: mworld] :
( ~ ( eiw_di @ X7 @ mactual )
| ~ ( mrel @ mactual @ X3 )
| ~ ( f @ X7 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_16,negated_conjecture,
! [X3: mworld] :
( ( f @ ( esk2_1 @ X3 ) @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_17,plain,
! [X23: mworld] : ( mrel @ X23 @ X23 ),
inference(variable_rename,[status(thm)],[mrel_reflexive]) ).
thf(c_0_18,negated_conjecture,
! [X3: mworld] :
( ~ ( eiw_di @ ( esk2_1 @ X3 ) @ mactual )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
thf(c_0_19,negated_conjecture,
! [X3: mworld] :
( ( eiw_di @ ( esk2_1 @ X3 ) @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_20,plain,
! [X3: mworld] : ( mrel @ X3 @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO887^22 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.16 % Computer : n001.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 17:31:36 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running higher-order theorem proving
% 0.08/0.21 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.QEFDvsgx7P/E---3.1_1555404.p
% 0.08/0.23 % Version: 3.5.1-ho
% 0.08/0.23 % Preprocessing class: HSMSSMSSMLMNHSN.
% 0.08/0.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.23 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.08/0.23 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.08/0.23 % Starting almost_fo_3_lam with 300s (1) cores
% 0.08/0.23 % Starting post_as_ho1 with 300s (1) cores
% 0.08/0.23 % ehoh_best2_full_lfho with pid 1555418 completed with status 0
% 0.08/0.23 % Result found by ehoh_best2_full_lfho
% 0.08/0.23 % Preprocessing class: HSMSSMSSMLMNHSN.
% 0.08/0.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.23 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.08/0.23 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.08/0.23 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.23 % No SInE strategy applied
% 0.08/0.23 % Search class: HHHNS-FFSF11-SHSSMFNN
% 0.08/0.23 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.23 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.23 % SubtermCWHack with pid 1555422 completed with status 0
% 0.08/0.23 % Result found by SubtermCWHack
% 0.08/0.23 % Preprocessing class: HSMSSMSSMLMNHSN.
% 0.08/0.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.23 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.08/0.23 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.08/0.23 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.23 % No SInE strategy applied
% 0.08/0.23 % Search class: HHHNS-FFSF11-SHSSMFNN
% 0.08/0.23 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.23 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.23 % Preprocessing time : 0.001 s
% 0.08/0.23
% 0.08/0.23 % Proof found!
% 0.08/0.23 % SZS status Theorem
% 0.08/0.23 % SZS output start CNFRefutation
% See solution above
% 0.08/0.23 % Parsed axioms : 30
% 0.08/0.23 % Removed by relevancy pruning/SinE : 0
% 0.08/0.23 % Initial clauses : 22
% 0.08/0.23 % Removed in clause preprocessing : 15
% 0.08/0.23 % Initial clauses in saturation : 7
% 0.08/0.23 % Processed clauses : 8
% 0.08/0.23 % ...of these trivial : 0
% 0.08/0.23 % ...subsumed : 0
% 0.08/0.23 % ...remaining for further processing : 8
% 0.08/0.23 % Other redundant clauses eliminated : 0
% 0.08/0.23 % Clauses deleted for lack of memory : 0
% 0.08/0.23 % Backward-subsumed : 0
% 0.08/0.23 % Backward-rewritten : 0
% 0.08/0.23 % Generated clauses : 4
% 0.08/0.23 % ...of the previous two non-redundant : 1
% 0.08/0.23 % ...aggressively subsumed : 0
% 0.08/0.23 % Contextual simplify-reflections : 0
% 0.08/0.23 % Paramodulations : 4
% 0.08/0.23 % Factorizations : 0
% 0.08/0.23 % NegExts : 0
% 0.08/0.23 % Equation resolutions : 0
% 0.08/0.23 % Disequality decompositions : 0
% 0.08/0.23 % Total rewrite steps : 1
% 0.08/0.23 % ...of those cached : 0
% 0.08/0.23 % Propositional unsat checks : 0
% 0.08/0.23 % Propositional check models : 0
% 0.08/0.23 % Propositional check unsatisfiable : 0
% 0.08/0.23 % Propositional clauses : 0
% 0.08/0.23 % Propositional clauses after purity: 0
% 0.08/0.23 % Propositional unsat core size : 0
% 0.08/0.23 % Propositional preprocessing time : 0.000
% 0.08/0.23 % Propositional encoding time : 0.000
% 0.08/0.23 % Propositional solver time : 0.000
% 0.08/0.23 % Success case prop preproc time : 0.000
% 0.08/0.23 % Success case prop encoding time : 0.000
% 0.08/0.23 % Success case prop solver time : 0.000
% 0.08/0.23 % Current number of processed clauses : 8
% 0.08/0.23 % Positive orientable unit clauses : 2
% 0.08/0.23 % Positive unorientable unit clauses: 0
% 0.08/0.23 % Negative unit clauses : 0
% 0.08/0.23 % Non-unit-clauses : 6
% 0.08/0.23 % Current number of unprocessed clauses: 0
% 0.08/0.23 % ...number of literals in the above : 0
% 0.08/0.23 % Current number of archived formulas : 0
% 0.08/0.23 % Current number of archived clauses : 0
% 0.08/0.23 % Clause-clause subsumption calls (NU) : 2
% 0.08/0.23 % Rec. Clause-clause subsumption calls : 1
% 0.08/0.23 % Non-unit clause-clause subsumptions : 0
% 0.08/0.23 % Unit Clause-clause subsumption calls : 0
% 0.08/0.23 % Rewrite failures with RHS unbound : 0
% 0.08/0.23 % BW rewrite match attempts : 0
% 0.08/0.23 % BW rewrite match successes : 0
% 0.08/0.23 % Condensation attempts : 0
% 0.08/0.23 % Condensation successes : 0
% 0.08/0.23 % Termbank termtop insertions : 1289
% 0.08/0.23 % Search garbage collected termcells : 282
% 0.08/0.23
% 0.08/0.23 % -------------------------------------------------
% 0.08/0.23 % User time : 0.004 s
% 0.08/0.23 % System time : 0.001 s
% 0.08/0.23 % Total time : 0.006 s
% 0.08/0.23 % Maximum resident set size: 3604 pages
% 0.08/0.23
% 0.08/0.23 % -------------------------------------------------
% 0.08/0.23 % User time : 0.006 s
% 0.08/0.23 % System time : 0.005 s
% 0.08/0.23 % Total time : 0.012 s
% 0.08/0.23 % Maximum resident set size: 4864 pages
% 0.08/0.23 % E exiting
%------------------------------------------------------------------------------