%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP220^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 08:05:54 AM UTC 2026
% Result : Theorem 129.45s 45.28s
% Output : CNFRefutation 129.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 10 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 203 ( 12 ~; 4 |; 0 &; 183 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 13 ( 0 ^; 13 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_sort2,type,
num: $tType ).
thf(decl_sort3,type,
vEBT_VEBT: $tType ).
thf(decl_331,type,
one_one_nat: nat ).
thf(decl_489,type,
suc: nat > nat ).
thf(decl_558,type,
bit0: num > num ).
thf(decl_560,type,
one: num ).
thf(decl_569,type,
numeral_numeral_nat: num > nat ).
thf(decl_720,type,
divide_divide_nat: nat > nat > nat ).
thf(decl_727,type,
dvd_dvd_nat: nat > nat > $o ).
thf(decl_849,type,
vEBT_VEBT_membermima: vEBT_VEBT > nat > $o ).
thf(decl_857,type,
vEBT_vebt_buildup: nat > vEBT_VEBT ).
thf(decl_876,type,
va: nat ).
thf(decl_877,type,
y: nat ).
thf(conj_0,conjecture,
~ ( vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ ( divide_divide_nat @ ( suc @ ( suc @ va ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ y ),
file('/export/starexec/sandbox2/tmp/tmp.UgkOyC8VZd/E---3.1_1534704.p',conj_0) ).
thf(fact_4_div2__Suc__Suc,axiom,
! [X3: nat] :
( ( divide_divide_nat @ ( suc @ ( suc @ X3 ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( suc @ ( divide_divide_nat @ X3 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.UgkOyC8VZd/E---3.1_1534704.p',fact_4_div2__Suc__Suc) ).
thf(fact_1__C3_OIH_C_I1_J,axiom,
! [X1: nat,X2: nat] :
( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( suc @ ( suc @ va ) ) )
=> ( ( X1
= ( divide_divide_nat @ ( suc @ ( suc @ va ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
=> ~ ( vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ X1 ) @ X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.UgkOyC8VZd/E---3.1_1534704.p',fact_1__C3_OIH_C_I1_J) ).
thf(fact_525_Suc__1,axiom,
( ( suc @ one_one_nat )
= ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.UgkOyC8VZd/E---3.1_1534704.p',fact_525_Suc__1) ).
thf(fact_0_True,axiom,
dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( suc @ ( suc @ va ) ),
file('/export/starexec/sandbox2/tmp/tmp.UgkOyC8VZd/E---3.1_1534704.p',fact_0_True) ).
thf(c_0_5,negated_conjecture,
~ ~ ( vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ ( divide_divide_nat @ ( suc @ ( suc @ va ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ y ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_6,negated_conjecture,
vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ ( divide_divide_nat @ ( suc @ ( suc @ va ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ y,
inference(fof_simplification,[status(thm)],[c_0_5]) ).
thf(c_0_7,plain,
! [X24448: nat] :
( ( divide_divide_nat @ ( suc @ ( suc @ X24448 ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( suc @ ( divide_divide_nat @ X24448 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ),
inference(variable_rename,[status(thm)],[fact_4_div2__Suc__Suc]) ).
thf(c_0_8,plain,
! [X1: nat,X2: nat] :
( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( suc @ ( suc @ va ) ) )
=> ( ( X1
= ( divide_divide_nat @ ( suc @ ( suc @ va ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
=> ~ ( vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ X1 ) @ X2 ) ) ),
inference(fof_simplification,[status(thm)],[fact_1__C3_OIH_C_I1_J]) ).
thf(c_0_9,negated_conjecture,
vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ ( divide_divide_nat @ ( suc @ ( suc @ va ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ y,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
( ( suc @ one_one_nat )
= ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
inference(split_conjunct,[status(thm)],[fact_525_Suc__1]) ).
thf(c_0_11,plain,
! [X1: nat] :
( ( divide_divide_nat @ ( suc @ ( suc @ X1 ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( suc @ ( divide_divide_nat @ X1 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_12,plain,
! [X25098: nat,X25099: nat] :
( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( suc @ ( suc @ va ) ) )
| ( X25098
!= ( divide_divide_nat @ ( suc @ ( suc @ va ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ~ ( vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ X25098 ) @ X25099 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
thf(c_0_13,plain,
dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( suc @ ( suc @ va ) ),
inference(split_conjunct,[status(thm)],[fact_0_True]) ).
thf(c_0_14,negated_conjecture,
vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ ( divide_divide_nat @ ( suc @ ( suc @ va ) ) @ ( suc @ one_one_nat ) ) ) @ y,
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_15,plain,
! [X1: nat] :
( ( divide_divide_nat @ ( suc @ ( suc @ X1 ) ) @ ( suc @ one_one_nat ) )
= ( suc @ ( divide_divide_nat @ X1 @ ( suc @ one_one_nat ) ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_10]),c_0_10]) ).
thf(c_0_16,plain,
! [X1: nat,X2: nat] :
( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( suc @ ( suc @ va ) ) )
| ( X1
!= ( divide_divide_nat @ ( suc @ ( suc @ va ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ~ ( vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ X1 ) @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_17,plain,
dvd_dvd_nat @ ( suc @ one_one_nat ) @ ( suc @ ( suc @ va ) ),
inference(rw,[status(thm)],[c_0_13,c_0_10]) ).
thf(c_0_18,negated_conjecture,
vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ ( suc @ ( divide_divide_nat @ va @ ( suc @ one_one_nat ) ) ) ) @ y,
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_19,plain,
! [X1: nat] :
~ ( vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ ( suc @ ( divide_divide_nat @ va @ ( suc @ one_one_nat ) ) ) ) @ X1 ),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_10]),c_0_15]),c_0_10]),c_0_17])])]) ).
thf(c_0_20,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_18,c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP220^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n020.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 20:20:19 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running higher-order theorem proving
% 1.83/1.93 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.UgkOyC8VZd/E---3.1_1534704.p
% 129.45/45.28 % Version: 3.5.1-ho
% 129.45/45.28 % partial match(1): HMLMSMSMSSLCHFA
% 129.45/45.28 % Preprocessing class: HMLMSMLMSSLCHFA.
% 129.45/45.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 129.45/45.28 % Starting new_ho_10 with 1500s (5) cores
% 129.45/45.28 % Starting sh5l with 300s (1) cores
% 129.45/45.28 % Starting new_bool_1 with 300s (1) cores
% 129.45/45.28 % Starting new_bool_2 with 300s (1) cores
% 129.45/45.28 % new_bool_1 with pid 1534719 completed with status 0
% 129.45/45.28 % Result found by new_bool_1
% 129.45/45.28 % partial match(1): HMLMSMSMSSLCHFA
% 129.45/45.28 % Preprocessing class: HMLMSMLMSSLCHFA.
% 129.45/45.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 129.45/45.28 % Starting new_ho_10 with 1500s (5) cores
% 129.45/45.28 % Starting sh5l with 300s (1) cores
% 129.45/45.28 % Starting new_bool_1 with 300s (1) cores
% 129.45/45.28 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 129.45/45.28 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 129.45/45.28 % Search class: HGHSM-SMLM32-DHFFFSBN
% 129.45/45.28 % Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 129.45/45.28 % Starting SubtermCWHack with 30s (1) cores
% 129.45/45.28 % SubtermCWHack with pid 1534722 completed with status 8
% 129.45/45.28 % Starting new_ho_10 with 180s (1) cores
% 129.45/45.28 % new_ho_10 with pid 1535180 completed with status 0
% 129.45/45.28 % Result found by new_ho_10
% 129.45/45.28 % partial match(1): HMLMSMSMSSLCHFA
% 129.45/45.28 % Preprocessing class: HMLMSMLMSSLCHFA.
% 129.45/45.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 129.45/45.28 % Starting new_ho_10 with 1500s (5) cores
% 129.45/45.28 % Starting sh5l with 300s (1) cores
% 129.45/45.28 % Starting new_bool_1 with 300s (1) cores
% 129.45/45.28 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 129.45/45.28 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 129.45/45.28 % Search class: HGHSM-SMLM32-DHFFFSBN
% 129.45/45.28 % Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 129.45/45.28 % Starting SubtermCWHack with 30s (1) cores
% 129.45/45.28 % SubtermCWHack with pid 1534722 completed with status 8
% 129.45/45.28 % Starting new_ho_10 with 180s (1) cores
% 129.45/45.28 % Preprocessing time : 0.293 s
% 129.45/45.28 % Presaturation interreduction done
% 129.45/45.28
% 129.45/45.28 % Proof found!
% 129.45/45.28 % SZS status Theorem
% 129.45/45.28 % SZS output start CNFRefutation
% See solution above
% 129.45/45.28 % Parsed axioms : 11103
% 129.45/45.28 % Removed by relevancy pruning/SinE : 7651
% 129.45/45.28 % Initial clauses : 10354
% 129.45/45.28 % Removed in clause preprocessing : 3123
% 129.45/45.28 % Initial clauses in saturation : 7231
% 129.45/45.28 % Processed clauses : 13173
% 129.45/45.28 % ...of these trivial : 414
% 129.45/45.28 % ...subsumed : 2986
% 129.45/45.28 % ...remaining for further processing : 9773
% 129.45/45.28 % Other redundant clauses eliminated : 2068
% 129.45/45.28 % Clauses deleted for lack of memory : 0
% 129.45/45.28 % Backward-subsumed : 77
% 129.45/45.28 % Backward-rewritten : 121
% 129.45/45.28 % Generated clauses : 99465
% 129.45/45.28 % ...of the previous two non-redundant : 83784
% 129.45/45.28 % ...aggressively subsumed : 0
% 129.45/45.28 % Contextual simplify-reflections : 73
% 129.45/45.28 % Paramodulations : 97427
% 129.45/45.28 % Factorizations : 15
% 129.45/45.28 % NegExts : 0
% 129.45/45.28 % Equation resolutions : 2129
% 129.45/45.28 % Disequality decompositions : 0
% 129.45/45.28 % Total rewrite steps : 47946
% 129.45/45.28 % ...of those cached : 41371
% 129.45/45.28 % Propositional unsat checks : 0
% 129.45/45.28 % Propositional check models : 0
% 129.45/45.28 % Propositional check unsatisfiable : 0
% 129.45/45.28 % Propositional clauses : 0
% 129.45/45.28 % Propositional clauses after purity: 0
% 129.45/45.28 % Propositional unsat core size : 0
% 129.45/45.28 % Propositional preprocessing time : 0.000
% 129.45/45.28 % Propositional encoding time : 0.000
% 129.45/45.28 % Propositional solver time : 0.000
% 129.45/45.28 % Success case prop preproc time : 0.000
% 129.45/45.28 % Success case prop encoding time : 0.000
% 129.45/45.28 % Success case prop solver time : 0.000
% 129.45/45.28 % Current number of processed clauses : 3366
% 129.45/45.28 % Positive orientable unit clauses : 878
% 129.45/45.28 % Positive unorientable unit clauses: 41
% 129.45/45.28 % Negative unit clauses : 263
% 129.45/45.28 % Non-unit-clauses : 2184
% 129.45/45.28 % Current number of unprocessed clauses: 82952
% 129.45/45.28 % ...number of literals in the above : 226859
% 129.45/45.28 % Current number of archived formulas : 0
% 129.45/45.28 % Current number of archived clauses : 5498
% 129.45/45.28 % Clause-clause subsumption calls (NU) : 15600062
% 129.45/45.28 % Rec. Clause-clause subsumption calls : 1458171
% 129.45/45.28 % Non-unit clause-clause subsumptions : 1457
% 129.45/45.28 % Unit Clause-clause subsumption calls : 132753
% 129.45/45.28 % Rewrite failures with RHS unbound : 0
% 129.45/45.28 % BW rewrite match attempts : 1647
% 129.45/45.28 % BW rewrite match successes : 583
% 129.45/45.28 % Condensation attempts : 13173
% 129.45/45.28 % Condensation successes : 12
% 129.45/45.28 % Termbank termtop insertions : 3919220
% 129.45/45.28 % Search garbage collected termcells : 189264
% 129.45/45.28
% 129.45/45.28 % -------------------------------------------------
% 129.45/45.28 % User time : 41.572 s
% 129.45/45.28 % System time : 0.554 s
% 129.45/45.28 % Total time : 42.126 s
% 129.45/45.28 % Maximum resident set size: 45304 pages
% 129.45/45.28
% 129.45/45.28 % -------------------------------------------------
% 129.45/45.28 % User time : 42.107 s
% 129.45/45.28 % System time : 0.590 s
% 129.45/45.28 % Total time : 42.696 s
% 129.45/45.28 % Maximum resident set size: 26880 pages
% 129.45/45.28 % E exiting
%------------------------------------------------------------------------------