%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP220^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 08:04:45 AM UTC 2026
% Result : Theorem 181.80s 48.50s
% Output : CNFRefutation 181.80s
% 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/sandbox/tmp/tmp.C3EApaUeJ9/E---3.1_1255901.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/sandbox/tmp/tmp.C3EApaUeJ9/E---3.1_1255901.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/sandbox/tmp/tmp.C3EApaUeJ9/E---3.1_1255901.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/sandbox/tmp/tmp.C3EApaUeJ9/E---3.1_1255901.p',fact_525_Suc__1) ).
thf(fact_0_True,axiom,
dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( suc @ ( suc @ va ) ),
file('/export/starexec/sandbox/tmp/tmp.C3EApaUeJ9/E---3.1_1255901.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(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
% 0.00/0.03 % Problem : ITP220^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n006.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 20:19:09 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 2.09/2.15 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.C3EApaUeJ9/E---3.1_1255901.p
% 181.80/48.50 % Version: 3.5.1-ho
% 181.80/48.50 % partial match(1): HMLMSMSMSSLCHFA
% 181.80/48.50 % Preprocessing class: HMLMSMLMSSLCHFA.
% 181.80/48.50 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 181.80/48.50 % Starting new_ho_10 with 1495s (5) cores
% 181.80/48.50 % Starting sh5l with 299s (1) cores
% 181.80/48.50 % Starting new_bool_1 with 299s (1) cores
% 181.80/48.50 % Starting new_bool_2 with 299s (1) cores
% 181.80/48.50 % new_bool_2 with pid 1255920 completed with status 0
% 181.80/48.50 % Result found by new_bool_2
% 181.80/48.50 % partial match(1): HMLMSMSMSSLCHFA
% 181.80/48.50 % Preprocessing class: HMLMSMLMSSLCHFA.
% 181.80/48.50 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 181.80/48.50 % Starting new_ho_10 with 1495s (5) cores
% 181.80/48.50 % Starting sh5l with 299s (1) cores
% 181.80/48.50 % Starting new_bool_1 with 299s (1) cores
% 181.80/48.50 % Starting new_bool_2 with 299s (1) cores
% 181.80/48.50 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 181.80/48.50 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 181.80/48.50 % Search class: HGHSM-SMLM32-DHFFFSBN
% 181.80/48.50 % Scheduled 5 strats onto 1 cores with 298 seconds (298 total)
% 181.80/48.50 % Starting SubtermCWHack with 30s (1) cores
% 181.80/48.50 % SubtermCWHack with pid 1255928 completed with status 8
% 181.80/48.50 % Starting new_ho_10 with 179s (1) cores
% 181.80/48.50 % new_ho_10 with pid 1255968 completed with status 0
% 181.80/48.50 % Result found by new_ho_10
% 181.80/48.50 % partial match(1): HMLMSMSMSSLCHFA
% 181.80/48.50 % Preprocessing class: HMLMSMLMSSLCHFA.
% 181.80/48.50 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 181.80/48.50 % Starting new_ho_10 with 1495s (5) cores
% 181.80/48.50 % Starting sh5l with 299s (1) cores
% 181.80/48.50 % Starting new_bool_1 with 299s (1) cores
% 181.80/48.50 % Starting new_bool_2 with 299s (1) cores
% 181.80/48.50 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 181.80/48.50 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 181.80/48.50 % Search class: HGHSM-SMLM32-DHFFFSBN
% 181.80/48.50 % Scheduled 5 strats onto 1 cores with 298 seconds (298 total)
% 181.80/48.50 % Starting SubtermCWHack with 30s (1) cores
% 181.80/48.50 % SubtermCWHack with pid 1255928 completed with status 8
% 181.80/48.50 % Starting new_ho_10 with 179s (1) cores
% 181.80/48.50 % Preprocessing time : 0.322 s
% 181.80/48.50 % Presaturation interreduction done
% 181.80/48.50
% 181.80/48.50 % Proof found!
% 181.80/48.50 % SZS status Theorem
% 181.80/48.50 % SZS output start CNFRefutation
% See solution above
% 181.80/48.50 % Parsed axioms : 11103
% 181.80/48.50 % Removed by relevancy pruning/SinE : 7651
% 181.80/48.50 % Initial clauses : 8200
% 181.80/48.50 % Removed in clause preprocessing : 1515
% 181.80/48.50 % Initial clauses in saturation : 6685
% 181.80/48.50 % Processed clauses : 12633
% 181.80/48.50 % ...of these trivial : 416
% 181.80/48.50 % ...subsumed : 2868
% 181.80/48.50 % ...remaining for further processing : 9349
% 181.80/48.50 % Other redundant clauses eliminated : 2070
% 181.80/48.50 % Clauses deleted for lack of memory : 0
% 181.80/48.50 % Backward-subsumed : 77
% 181.80/48.50 % Backward-rewritten : 119
% 181.80/48.50 % Generated clauses : 99889
% 181.80/48.50 % ...of the previous two non-redundant : 84213
% 181.80/48.50 % ...aggressively subsumed : 0
% 181.80/48.50 % Contextual simplify-reflections : 67
% 181.80/48.50 % Paramodulations : 97849
% 181.80/48.50 % Factorizations : 15
% 181.80/48.50 % NegExts : 0
% 181.80/48.50 % Equation resolutions : 2131
% 181.80/48.50 % Disequality decompositions : 0
% 181.80/48.50 % Total rewrite steps : 47299
% 181.80/48.50 % ...of those cached : 40700
% 181.80/48.50 % Propositional unsat checks : 0
% 181.80/48.50 % Propositional check models : 0
% 181.80/48.50 % Propositional check unsatisfiable : 0
% 181.80/48.50 % Propositional clauses : 0
% 181.80/48.50 % Propositional clauses after purity: 0
% 181.80/48.50 % Propositional unsat core size : 0
% 181.80/48.50 % Propositional preprocessing time : 0.000
% 181.80/48.50 % Propositional encoding time : 0.000
% 181.80/48.50 % Propositional solver time : 0.000
% 181.80/48.50 % Success case prop preproc time : 0.000
% 181.80/48.50 % Success case prop encoding time : 0.000
% 181.80/48.50 % Success case prop solver time : 0.000
% 181.80/48.50 % Current number of processed clauses : 3373
% 181.80/48.50 % Positive orientable unit clauses : 876
% 181.80/48.50 % Positive unorientable unit clauses: 41
% 181.80/48.50 % Negative unit clauses : 270
% 181.80/48.50 % Non-unit-clauses : 2186
% 181.80/48.50 % Current number of unprocessed clauses: 82950
% 181.80/48.50 % ...number of literals in the above : 224294
% 181.80/48.50 % Current number of archived formulas : 0
% 181.80/48.50 % Current number of archived clauses : 5067
% 181.80/48.50 % Clause-clause subsumption calls (NU) : 13569755
% 181.80/48.50 % Rec. Clause-clause subsumption calls : 1527071
% 181.80/48.50 % Non-unit clause-clause subsumptions : 1337
% 181.80/48.50 % Unit Clause-clause subsumption calls : 113385
% 181.80/48.50 % Rewrite failures with RHS unbound : 0
% 181.80/48.50 % BW rewrite match attempts : 1639
% 181.80/48.50 % BW rewrite match successes : 576
% 181.80/48.50 % Condensation attempts : 12633
% 181.80/48.50 % Condensation successes : 12
% 181.80/48.50 % Termbank termtop insertions : 3507368
% 181.80/48.50 % Search garbage collected termcells : 158626
% 181.80/48.50
% 181.80/48.50 % -------------------------------------------------
% 181.80/48.50 % User time : 43.791 s
% 181.80/48.50 % System time : 0.672 s
% 181.80/48.50 % Total time : 44.463 s
% 181.80/48.50 % Maximum resident set size: 43808 pages
% 181.80/48.50
% 181.80/48.50 % -------------------------------------------------
% 181.80/48.50 % User time : 45.027 s
% 181.80/48.50 % System time : 0.710 s
% 181.80/48.50 % Total time : 45.737 s
% 181.80/48.50 % Maximum resident set size: 26624 pages
% 181.80/48.50 % E exiting
%------------------------------------------------------------------------------