%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP243_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 : Thu Sep 24 12:54:54 PM UTC 2026
% Result : Theorem 149.98s 24.05s
% Output : CNFRefutation 149.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 3 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 13 ( 12 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 12 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
set_nat: $tType ).
tff(decl_sort2,type,
fun_nat_bool: $tType ).
tff(decl_sort3,type,
fun_nat_fun_nat_bool: $tType ).
tff(decl_sort4,type,
fun_nat_fun_nat_nat: $tType ).
tff(decl_sort5,type,
fun_nat_nat: $tType ).
tff(decl_sort6,type,
nat: $tType ).
tff(decl_sort7,type,
num: $tType ).
tff(decl_sort8,type,
bool: $tType ).
tff(decl_sort9,type,
option_nat: $tType ).
tff(decl_sort10,type,
vEBT_VEBT: $tType ).
tff(decl_sort11,type,
fun_num_nat: $tType ).
tff(decl_sort12,type,
fun_num_num: $tType ).
tff(decl_816,type,
one_one_nat: nat ).
tff(decl_1019,type,
suc: fun_nat_nat ).
tff(decl_1087,type,
bit0: fun_num_num ).
tff(decl_1089,type,
one: num ).
tff(decl_1097,type,
numeral_numeral_nat: fun_num_nat ).
tff(decl_1106,type,
some_nat: nat > option_nat ).
tff(decl_1290,type,
divide_divide_nat: fun_nat_fun_nat_nat ).
tff(decl_1433,type,
vEBT_VEBT_high: fun_nat_fun_nat_nat ).
tff(decl_1451,type,
vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).
tff(decl_1469,type,
vEBT_is_succ_in_set: set_nat > fun_nat_fun_nat_bool ).
tff(decl_1470,type,
vEBT_vebt_succ: ( nat * vEBT_VEBT ) > option_nat ).
tff(decl_1534,type,
aa_nat_bool: ( nat * fun_nat_bool ) > bool ).
tff(decl_1536,type,
aa_nat_nat: ( nat * fun_nat_nat ) > nat ).
tff(decl_1556,type,
aa_nat_fun_nat_bool: ( nat * fun_nat_fun_nat_bool ) > fun_nat_bool ).
tff(decl_1558,type,
aa_nat_fun_nat_nat: ( nat * fun_nat_fun_nat_nat ) > fun_nat_nat ).
tff(decl_1580,type,
aa_num_nat: ( num * fun_num_nat ) > nat ).
tff(decl_1581,type,
aa_num_num: ( num * fun_num_num ) > num ).
tff(decl_1790,type,
pp: bool > $o ).
tff(decl_1791,type,
deg: nat ).
tff(decl_1795,type,
na: nat ).
tff(decl_1796,type,
sc: nat ).
tff(decl_1797,type,
summary: vEBT_VEBT ).
tff(decl_1799,type,
xa: nat ).
tff(conj_0,conjecture,
pp(aa_nat_bool(aa_nat_fun_nat_bool(vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(summary)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),sc)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(fact_4__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062,axiom,
aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) = na,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062) ).
tff(fact_2717_Suc__1,axiom,
aa_nat_nat(suc,one_one_nat) = aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2717_Suc__1) ).
tff(fact_0__C4_Ohyps_C_I3_J,axiom,
! [X1: nat,X2: nat] :
( ( vEBT_vebt_succ(summary,X1) = some_nat(X2) )
<=> pp(aa_nat_bool(aa_nat_fun_nat_bool(vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(summary)),X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__C4_Ohyps_C_I3_J) ).
tff(fact_1__092_060open_062vebt__succ_Asummary_A_Ihigh_Ax_A_Ideg_Adiv_A2_J_J_A_061_ASome_Asc_092_060close_062,axiom,
vEBT_vebt_succ(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))) = some_nat(sc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062vebt__succ_Asummary_A_Ihigh_Ax_A_Ideg_Adiv_A2_J_J_A_061_ASome_Asc_092_060close_062) ).
tff(c_0_5,negated_conjecture,
~ pp(aa_nat_bool(aa_nat_fun_nat_bool(vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(summary)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),sc)),
inference(assume_negation,[status(cth)],[conj_0]) ).
tff(c_0_6,negated_conjecture,
~ pp(aa_nat_bool(aa_nat_fun_nat_bool(vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(summary)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),sc)),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
tff(c_0_7,negated_conjecture,
~ pp(aa_nat_bool(aa_nat_fun_nat_bool(vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(summary)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),sc)),
inference(fof_nnf,[status(thm)],[c_0_6]) ).
tcf(c_0_8,plain,
aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) = na,
inference(split_conjunct,[status(thm)],[fact_4__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062]) ).
tcf(c_0_9,plain,
aa_nat_nat(suc,one_one_nat) = aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)),
inference(split_conjunct,[status(thm)],[fact_2717_Suc__1]) ).
tcf(c_0_10,negated_conjecture,
~ pp(aa_nat_bool(aa_nat_fun_nat_bool(vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(summary)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),sc)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
tcf(c_0_11,plain,
aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_nat_nat(suc,one_one_nat)) = na,
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
tff(c_0_12,plain,
! [X20941: nat,X20942: nat] :
( ( ( vEBT_vebt_succ(summary,X20941) = some_nat(X20942) )
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(summary)),X20941),X20942)) )
& ( pp(aa_nat_bool(aa_nat_fun_nat_bool(vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(summary)),X20941),X20942))
| ( vEBT_vebt_succ(summary,X20941) != some_nat(X20942) ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_0__C4_Ohyps_C_I3_J])])]) ).
tcf(c_0_13,plain,
vEBT_vebt_succ(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))) = some_nat(sc),
inference(split_conjunct,[status(thm)],[fact_1__092_060open_062vebt__succ_Asummary_A_Ihigh_Ax_A_Ideg_Adiv_A2_J_J_A_061_ASome_Asc_092_060close_062]) ).
tcf(c_0_14,negated_conjecture,
~ pp(aa_nat_bool(aa_nat_fun_nat_bool(vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(summary)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),sc)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_9]),c_0_11]) ).
tcf(c_0_15,plain,
! [X1: nat,X2: nat] :
( ( vEBT_vebt_succ(summary,X1) != some_nat(X2) )
| pp(aa_nat_bool(aa_nat_fun_nat_bool(vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(summary)),X1),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
tcf(c_0_16,plain,
vEBT_vebt_succ(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)) = some_nat(sc),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_9]),c_0_11]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP243_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n020.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 20 22:17:17 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.45 Running first-order theorem proving
% 0.10/0.45 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 149.98/24.05 % Version: 3.5.1
% 149.98/24.05 % Preprocessing class: FMLLSMLLSSSNFFN.
% 149.98/24.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 149.98/24.05 % Starting new_bool_3 with 900s (3) cores
% 149.98/24.05 % Starting new_bool_1 with 900s (3) cores
% 149.98/24.05 % Starting sh5l with 300s (1) cores
% 149.98/24.05 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 149.98/24.05 % new_bool_3 with pid 1335026 completed with status 0
% 149.98/24.05 % Result found by new_bool_3
% 149.98/24.05 % Preprocessing class: FMLLSMLLSSSNFFN.
% 149.98/24.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 149.98/24.05 % Starting new_bool_3 with 900s (3) cores
% 149.98/24.05 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 149.98/24.05 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 149.98/24.05 % Search class: FGHSM-SMLM32-DFFFFFNN
% 149.98/24.05 % Scheduled 13 strats onto 3 cores with 898 seconds (898 total)
% 149.98/24.05 % Starting SubtermCWHack with 81s (1) cores
% 149.98/24.05 % Starting new_bool_3 with 90s (1) cores
% 149.98/24.05 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 68s (1) cores
% 149.98/24.05 % SubtermCWHack with pid 1335033 completed with status 0
% 149.98/24.05 % Result found by SubtermCWHack
% 149.98/24.05 % Preprocessing class: FMLLSMLLSSSNFFN.
% 149.98/24.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 149.98/24.05 % Starting new_bool_3 with 900s (3) cores
% 149.98/24.05 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 149.98/24.05 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 149.98/24.05 % Search class: FGHSM-SMLM32-DFFFFFNN
% 149.98/24.05 % Scheduled 13 strats onto 3 cores with 898 seconds (898 total)
% 149.98/24.05 % Starting SubtermCWHack with 81s (1) cores
% 149.98/24.05 % Preprocessing time : 0.216 s
% 149.98/24.05
% 149.98/24.05 % Proof found!
% 149.98/24.05 % SZS status Theorem
% 149.98/24.05 % SZS output start CNFRefutation
% See solution above
% 149.98/24.05 % Parsed axioms : 12997
% 149.98/24.05 % Removed by relevancy pruning/SinE : 8854
% 149.98/24.05 % Initial clauses : 11087
% 149.98/24.05 % Removed in clause preprocessing : 2029
% 149.98/24.05 % Initial clauses in saturation : 9058
% 149.98/24.05 % Processed clauses : 63063
% 149.98/24.05 % ...of these trivial : 3117
% 149.98/24.05 % ...subsumed : 42109
% 149.98/24.05 % ...remaining for further processing : 17837
% 149.98/24.05 % Other redundant clauses eliminated : 3183
% 149.98/24.05 % Clauses deleted for lack of memory : 0
% 149.98/24.05 % Backward-subsumed : 256
% 149.98/24.05 % Backward-rewritten : 208
% 149.98/24.05 % Generated clauses : 409378
% 149.98/24.05 % ...of the previous two non-redundant : 357461
% 149.98/24.05 % ...aggressively subsumed : 0
% 149.98/24.05 % Contextual simplify-reflections : 58
% 149.98/24.05 % Paramodulations : 406098
% 149.98/24.05 % Factorizations : 51
% 149.98/24.05 % NegExts : 0
% 149.98/24.05 % Equation resolutions : 3285
% 149.98/24.05 % Disequality decompositions : 0
% 149.98/24.05 % Total rewrite steps : 134210
% 149.98/24.05 % ...of those cached : 112550
% 149.98/24.05 % Propositional unsat checks : 0
% 149.98/24.05 % Propositional check models : 0
% 149.98/24.05 % Propositional check unsatisfiable : 0
% 149.98/24.05 % Propositional clauses : 0
% 149.98/24.05 % Propositional clauses after purity: 0
% 149.98/24.05 % Propositional unsat core size : 0
% 149.98/24.05 % Propositional preprocessing time : 0.000
% 149.98/24.05 % Propositional encoding time : 0.000
% 149.98/24.05 % Propositional solver time : 0.000
% 149.98/24.05 % Success case prop preproc time : 0.000
% 149.98/24.05 % Success case prop encoding time : 0.000
% 149.98/24.05 % Success case prop solver time : 0.000
% 149.98/24.05 % Current number of processed clauses : 16447
% 149.98/24.05 % Positive orientable unit clauses : 3625
% 149.98/24.05 % Positive unorientable unit clauses: 58
% 149.98/24.05 % Negative unit clauses : 6319
% 149.98/24.05 % Non-unit-clauses : 6445
% 149.98/24.05 % Current number of unprocessed clauses: 302288
% 149.98/24.05 % ...number of literals in the above : 846672
% 149.98/24.05 % Current number of archived formulas : 0
% 149.98/24.05 % Current number of archived clauses : 464
% 149.98/24.05 % Clause-clause subsumption calls (NU) : 13698417
% 149.98/24.05 % Rec. Clause-clause subsumption calls : 7687329
% 149.98/24.05 % Non-unit clause-clause subsumptions : 8127
% 149.98/24.05 % Unit Clause-clause subsumption calls : 6250168
% 149.98/24.05 % Rewrite failures with RHS unbound : 0
% 149.98/24.05 % BW rewrite match attempts : 137846
% 149.98/24.05 % BW rewrite match successes : 382
% 149.98/24.05 % Condensation attempts : 0
% 149.98/24.05 % Condensation successes : 0
% 149.98/24.05 % Termbank termtop insertions : 9293048
% 149.98/24.05 % Search garbage collected termcells : 212375
% 149.98/24.05
% 149.98/24.05 % -------------------------------------------------
% 149.98/24.05 % User time : 21.763 s
% 149.98/24.05 % System time : 0.402 s
% 149.98/24.05 % Total time : 22.165 s
% 149.98/24.05 % Maximum resident set size: 58656 pages
% 149.98/24.05
% 149.98/24.05 % -------------------------------------------------
% 149.98/24.05 % User time : 62.990 s
% 149.98/24.05 % System time : 0.805 s
% 149.98/24.05 % Total time : 63.795 s
% 149.98/24.05 % Maximum resident set size: 33280 pages
% 149.98/24.05 % E exiting
%------------------------------------------------------------------------------