%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET055^12 : 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 : n014.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 08:21:53 AM UTC 2026
% Result : Theorem 0.24s 0.32s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 4 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 65 ( 6 ~; 2 |; 1 &; 52 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 15 ( 9 ^; 6 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mworld: $tType ).
thf(decl_24,type,
mactual: mworld ).
thf(decl_25,type,
mlocal: ( mworld > $o ) > $o ).
thf(decl_33,type,
eiw_di: $i > mworld > $o ).
thf(decl_34,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(decl_41,type,
qmltpeq: $i > $i > mworld > $o ).
thf(decl_75,type,
esk8_0: $i ).
thf(reflexivity_0,conjecture,
( mlocal
@ ( mforall_di
@ ^ [X6: $i] : ( qmltpeq @ X6 @ X6 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ZnXpRJdvfJ/E---3.1_2659792.p',reflexivity_0) ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ZnXpRJdvfJ/E---3.1_2659792.p',mlocal_def) ).
thf(mforall_di_def,axiom,
( mforall_di
= ( ^ [X7: $i > mworld > $o,X3: mworld] :
! [X6: $i] :
( ( eiw_di @ X6 @ X3 )
=> ( X7 @ X6 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ZnXpRJdvfJ/E---3.1_2659792.p',mforall_di_def) ).
thf(reflexivity,axiom,
( mlocal
@ ( mforall_di
@ ^ [X6: $i] : ( qmltpeq @ X6 @ X6 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ZnXpRJdvfJ/E---3.1_2659792.p',reflexivity) ).
thf(c_0_4,negated_conjecture,
~ ( mlocal
@ ( mforall_di
@ ^ [X6: $i] : ( qmltpeq @ X6 @ X6 ) ) ),
inference(assume_negation,[status(cth)],[reflexivity_0]) ).
thf(c_0_5,plain,
( mlocal
= ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
inference(fof_simplification,[status(thm)],[mlocal_def]) ).
thf(c_0_6,plain,
( mforall_di
= ( ^ [Z0: $i > mworld > $o,Z1: mworld] :
! [X6: $i] :
( ( eiw_di @ X6 @ Z1 )
=> ( Z0 @ X6 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[mforall_di_def]) ).
thf(c_0_7,negated_conjecture,
~ ! [X299: $i] :
( ( eiw_di @ X299 @ mactual )
=> ( qmltpeq @ X299 @ X299 @ mactual ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4]),c_0_5]),c_0_6]) ).
thf(c_0_8,plain,
! [X105: $i] :
( ( eiw_di @ X105 @ mactual )
=> ( qmltpeq @ X105 @ X105 @ mactual ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity]),c_0_5]),c_0_6]) ).
thf(c_0_9,negated_conjecture,
( ( eiw_di @ esk8_0 @ mactual )
& ~ ( qmltpeq @ esk8_0 @ esk8_0 @ mactual ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
thf(c_0_10,plain,
! [X304: $i] :
( ~ ( eiw_di @ X304 @ mactual )
| ( qmltpeq @ X304 @ X304 @ mactual ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
thf(c_0_11,negated_conjecture,
~ ( qmltpeq @ esk8_0 @ esk8_0 @ mactual ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_12,plain,
! [X6: $i] :
( ( qmltpeq @ X6 @ X6 @ mactual )
| ~ ( eiw_di @ X6 @ mactual ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_13,negated_conjecture,
eiw_di @ esk8_0 @ mactual,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET055^12 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n014.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 13:36:30 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.24/0.26 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.ZnXpRJdvfJ/E---3.1_2659792.p
% 0.24/0.32 % Version: 3.5.1-ho
% 0.24/0.32 % Preprocessing class: HSLSSMSSMLLNHSN.
% 0.24/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.32 % Starting almost_fo_3 with 1500s (5) cores
% 0.24/0.32 % Starting sh10 with 300s (1) cores
% 0.24/0.32 % Starting new_ho_16 with 300s (1) cores
% 0.24/0.32 % Starting post_as_ho11 with 300s (1) cores
% 0.24/0.32 % sh10 with pid 2659827 completed with status 0
% 0.24/0.32 % Result found by sh10
% 0.24/0.32 % Preprocessing class: HSLSSMSSMLLNHSN.
% 0.24/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.32 % Starting almost_fo_3 with 1500s (5) cores
% 0.24/0.32 % Starting sh10 with 300s (1) cores
% 0.24/0.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.32 % No SInE strategy applied
% 0.24/0.32 % Search class: HGHNS-FSLM31-MHSSMFNN
% 0.24/0.32 % partial match(2): HGHNS-FSLM11-SHSSMFNN
% 0.24/0.32 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.32 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.32 % SubtermCWHack with pid 2659848 completed with status 0
% 0.24/0.32 % Result found by SubtermCWHack
% 0.24/0.32 % Preprocessing class: HSLSSMSSMLLNHSN.
% 0.24/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.32 % Starting almost_fo_3 with 1500s (5) cores
% 0.24/0.32 % Starting sh10 with 300s (1) cores
% 0.24/0.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.32 % No SInE strategy applied
% 0.24/0.32 % Search class: HGHNS-FSLM31-MHSSMFNN
% 0.24/0.32 % partial match(2): HGHNS-FSLM11-SHSSMFNN
% 0.24/0.32 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.32 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.32 % Preprocessing time : 0.006 s
% 0.24/0.32
% 0.24/0.32 % Proof found!
% 0.24/0.32 % SZS status Theorem
% 0.24/0.32 % SZS output start CNFRefutation
% See solution above
% 0.24/0.32 % Parsed axioms : 142
% 0.24/0.32 % Removed by relevancy pruning/SinE : 0
% 0.24/0.32 % Initial clauses : 182
% 0.24/0.32 % Removed in clause preprocessing : 46
% 0.24/0.32 % Initial clauses in saturation : 136
% 0.24/0.32 % Processed clauses : 13
% 0.24/0.32 % ...of these trivial : 0
% 0.24/0.32 % ...subsumed : 0
% 0.24/0.32 % ...remaining for further processing : 13
% 0.24/0.32 % Other redundant clauses eliminated : 0
% 0.24/0.32 % Clauses deleted for lack of memory : 0
% 0.24/0.32 % Backward-subsumed : 0
% 0.24/0.32 % Backward-rewritten : 0
% 0.24/0.32 % Generated clauses : 1
% 0.24/0.32 % ...of the previous two non-redundant : 0
% 0.24/0.32 % ...aggressively subsumed : 0
% 0.24/0.32 % Contextual simplify-reflections : 0
% 0.24/0.32 % Paramodulations : 1
% 0.24/0.32 % Factorizations : 0
% 0.24/0.32 % NegExts : 0
% 0.24/0.32 % Equation resolutions : 0
% 0.24/0.32 % Disequality decompositions : 0
% 0.24/0.32 % Total rewrite steps : 1
% 0.24/0.32 % ...of those cached : 0
% 0.24/0.32 % Propositional unsat checks : 0
% 0.24/0.32 % Propositional check models : 0
% 0.24/0.32 % Propositional check unsatisfiable : 0
% 0.24/0.32 % Propositional clauses : 0
% 0.24/0.32 % Propositional clauses after purity: 0
% 0.24/0.32 % Propositional unsat core size : 0
% 0.24/0.32 % Propositional preprocessing time : 0.000
% 0.24/0.32 % Propositional encoding time : 0.000
% 0.24/0.32 % Propositional solver time : 0.000
% 0.24/0.32 % Success case prop preproc time : 0.000
% 0.24/0.32 % Success case prop encoding time : 0.000
% 0.24/0.32 % Success case prop solver time : 0.000
% 0.24/0.32 % Current number of processed clauses : 13
% 0.24/0.32 % Positive orientable unit clauses : 10
% 0.24/0.32 % Positive unorientable unit clauses: 0
% 0.24/0.32 % Negative unit clauses : 1
% 0.24/0.32 % Non-unit-clauses : 2
% 0.24/0.32 % Current number of unprocessed clauses: 123
% 0.24/0.32 % ...number of literals in the above : 558
% 0.24/0.32 % Current number of archived formulas : 0
% 0.24/0.32 % Current number of archived clauses : 0
% 0.24/0.32 % Clause-clause subsumption calls (NU) : 0
% 0.24/0.32 % Rec. Clause-clause subsumption calls : 0
% 0.24/0.32 % Non-unit clause-clause subsumptions : 0
% 0.24/0.32 % Unit Clause-clause subsumption calls : 0
% 0.24/0.32 % Rewrite failures with RHS unbound : 0
% 0.24/0.32 % BW rewrite match attempts : 0
% 0.24/0.32 % BW rewrite match successes : 0
% 0.24/0.32 % Condensation attempts : 0
% 0.24/0.32 % Condensation successes : 0
% 0.24/0.32 % Termbank termtop insertions : 30723
% 0.24/0.32 % Search garbage collected termcells : 12931
% 0.24/0.32
% 0.24/0.32 % -------------------------------------------------
% 0.24/0.32 % User time : 0.026 s
% 0.24/0.32 % System time : 0.009 s
% 0.24/0.32 % Total time : 0.035 s
% 0.24/0.32 % Maximum resident set size: 5852 pages
% 0.24/0.32
% 0.24/0.32 % -------------------------------------------------
% 0.24/0.32 % User time : 0.032 s
% 0.24/0.32 % System time : 0.014 s
% 0.24/0.32 % Total time : 0.046 s
% 0.24/0.32 % Maximum resident set size: 5120 pages
% 0.24/0.32 % E exiting
%------------------------------------------------------------------------------