%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP246_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:54:55 PM UTC 2026
% Result : Theorem 215.75s 34.29s
% Output : CNFRefutation 215.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 30 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 13 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 10 ( 9 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
fun_nat_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,
nat: $tType ).
tff(decl_sort6,type,
num: $tType ).
tff(decl_sort7,type,
fun_num_num: $tType ).
tff(decl_sort8,type,
bool: $tType ).
tff(decl_sort9,type,
fun_num_nat: $tType ).
tff(decl_604,type,
one_one_nat: nat ).
tff(decl_784,type,
suc: fun_nat_nat ).
tff(decl_849,type,
bit0: fun_num_num ).
tff(decl_851,type,
one: num ).
tff(decl_859,type,
numeral_numeral_nat: fun_num_nat ).
tff(decl_915,type,
ord_less_eq_nat: fun_nat_fun_nat_bool ).
tff(decl_1033,type,
divide_divide_nat: fun_nat_fun_nat_nat ).
tff(decl_1164,type,
vEBT_VEBT_high: fun_nat_fun_nat_nat ).
tff(decl_1262,type,
aa_nat_bool: ( nat * fun_nat_bool ) > bool ).
tff(decl_1265,type,
aa_nat_nat: ( nat * fun_nat_nat ) > nat ).
tff(decl_1279,type,
aa_nat_fun_nat_bool: ( nat * fun_nat_fun_nat_bool ) > fun_nat_bool ).
tff(decl_1282,type,
aa_nat_fun_nat_nat: ( nat * fun_nat_fun_nat_nat ) > fun_nat_nat ).
tff(decl_1301,type,
aa_num_nat: ( num * fun_num_nat ) > nat ).
tff(decl_1302,type,
aa_num_num: ( num * fun_num_num ) > num ).
tff(decl_1430,type,
pp: bool > $o ).
tff(decl_1431,type,
deg: nat ).
tff(decl_1436,type,
na: nat ).
tff(decl_1441,type,
xa: nat ).
tff(decl_1442,type,
za: nat ).
tff(conj_0,conjecture,
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)))) = aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(fact_49_verit__la__disequality,axiom,
! [X36: nat,X37: nat] :
( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X37),X36))
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X36),X37))
| ( X36 = X37 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_verit__la__disequality) ).
tff(fact_5__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/sandbox2/benchmark/theBenchmark.p',fact_5__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062) ).
tff(fact_335_Suc__1,axiom,
aa_nat_nat(suc,one_one_nat) = aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_335_Suc__1) ).
tff(fact_0_bbbb,axiom,
pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),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)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_bbbb) ).
tff(fact_2_aaaa,axiom,
pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,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))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_aaaa) ).
tff(c_0_6,negated_conjecture,
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)))) != aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),
inference(assume_negation,[status(cth)],[conj_0]) ).
tff(c_0_7,negated_conjecture,
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)))) != aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
tff(c_0_8,plain,
! [X36: nat,X37: nat] :
( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X37),X36))
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X36),X37))
| ( X36 = X37 ) ),
inference(fof_simplification,[status(thm)],[fact_49_verit__la__disequality]) ).
tcf(c_0_9,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_5__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062]) ).
tcf(c_0_10,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_335_Suc__1]) ).
tff(c_0_11,negated_conjecture,
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)))) != aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
tff(c_0_12,plain,
! [X18927: nat,X18928: nat] :
( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X18928),X18927))
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X18927),X18928))
| ( X18927 = X18928 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_8])]) ).
tcf(c_0_13,plain,
pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),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)))))),
inference(split_conjunct,[status(thm)],[fact_0_bbbb]) ).
tcf(c_0_14,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_9,c_0_10]) ).
tcf(c_0_15,plain,
pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,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))))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))))),
inference(split_conjunct,[status(thm)],[fact_2_aaaa]) ).
tcf(c_0_16,negated_conjecture,
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)))) != aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
tcf(c_0_17,plain,
! [X3: nat,X2: nat] :
( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X3),X2))
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X2),X3))
| ( X2 = X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
tcf(c_0_18,plain,
pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_10]),c_0_14]),c_0_10]),c_0_14]) ).
tcf(c_0_19,plain,
pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),na))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_10]),c_0_14]),c_0_10]),c_0_14]) ).
tcf(c_0_20,negated_conjecture,
aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,za),na) != aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_10]),c_0_14]),c_0_10]),c_0_14]) ).
cnf(c_0_21,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP246_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.46 % Computer : n009.cluster.edu
% 0.18/0.46 % Model : x86_64 x86_64
% 0.18/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46 % Memory : 8046.5625MB
% 0.18/0.46 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Sun Sep 20 22:17:27 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.53 Running first-order theorem proving
% 0.21/0.53 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 215.75/34.29 % Version: 3.5.1
% 215.75/34.29 % Preprocessing class: FMLLSMLLSSSNFFN.
% 215.75/34.29 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 215.75/34.29 % Starting new_bool_3 with 897s (3) cores
% 215.75/34.29 % Starting new_bool_1 with 897s (3) cores
% 215.75/34.29 % Starting sh5l with 299s (1) cores
% 215.75/34.29 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 215.75/34.29 % new_bool_3 with pid 168385 completed with status 0
% 215.75/34.29 % Result found by new_bool_3
% 215.75/34.29 % Preprocessing class: FMLLSMLLSSSNFFN.
% 215.75/34.29 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 215.75/34.29 % Starting new_bool_3 with 897s (3) cores
% 215.75/34.29 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 215.75/34.29 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 215.75/34.29 % Search class: FGHSM-SMLM32-DFFFFFNN
% 215.75/34.29 % Scheduled 13 strats onto 3 cores with 895 seconds (895 total)
% 215.75/34.29 % Starting SubtermCWHack with 81s (1) cores
% 215.75/34.29 % Starting new_bool_3 with 90s (1) cores
% 215.75/34.29 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 68s (1) cores
% 215.75/34.29 % SubtermCWHack with pid 168389 completed with status 0
% 215.75/34.29 % Result found by SubtermCWHack
% 215.75/34.29 % Preprocessing class: FMLLSMLLSSSNFFN.
% 215.75/34.29 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 215.75/34.29 % Starting new_bool_3 with 897s (3) cores
% 215.75/34.29 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 215.75/34.29 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 215.75/34.29 % Search class: FGHSM-SMLM32-DFFFFFNN
% 215.75/34.29 % Scheduled 13 strats onto 3 cores with 895 seconds (895 total)
% 215.75/34.29 % Starting SubtermCWHack with 81s (1) cores
% 215.75/34.29 % Preprocessing time : 0.239 s
% 215.75/34.29
% 215.75/34.29 % Proof found!
% 215.75/34.29 % SZS status Theorem
% 215.75/34.29 % SZS output start CNFRefutation
% See solution above
% 215.75/34.29 % Parsed axioms : 12321
% 215.75/34.29 % Removed by relevancy pruning/SinE : 8829
% 215.75/34.29 % Initial clauses : 9256
% 215.75/34.29 % Removed in clause preprocessing : 1924
% 215.75/34.29 % Initial clauses in saturation : 7332
% 215.75/34.29 % Processed clauses : 53955
% 215.75/34.29 % ...of these trivial : 3571
% 215.75/34.29 % ...subsumed : 34604
% 215.75/34.29 % ...remaining for further processing : 15780
% 215.75/34.29 % Other redundant clauses eliminated : 2847
% 215.75/34.29 % Clauses deleted for lack of memory : 0
% 215.75/34.29 % Backward-subsumed : 676
% 215.75/34.29 % Backward-rewritten : 315
% 215.75/34.29 % Generated clauses : 329971
% 215.75/34.29 % ...of the previous two non-redundant : 277472
% 215.75/34.29 % ...aggressively subsumed : 0
% 215.75/34.29 % Contextual simplify-reflections : 44
% 215.75/34.29 % Paramodulations : 326882
% 215.75/34.29 % Factorizations : 30
% 215.75/34.29 % NegExts : 0
% 215.75/34.29 % Equation resolutions : 2931
% 215.75/34.29 % Disequality decompositions : 0
% 215.75/34.29 % Total rewrite steps : 131339
% 215.75/34.29 % ...of those cached : 112561
% 215.75/34.29 % Propositional unsat checks : 0
% 215.75/34.29 % Propositional check models : 0
% 215.75/34.29 % Propositional check unsatisfiable : 0
% 215.75/34.29 % Propositional clauses : 0
% 215.75/34.29 % Propositional clauses after purity: 0
% 215.75/34.29 % Propositional unsat core size : 0
% 215.75/34.29 % Propositional preprocessing time : 0.000
% 215.75/34.29 % Propositional encoding time : 0.000
% 215.75/34.29 % Propositional solver time : 0.000
% 215.75/34.29 % Success case prop preproc time : 0.000
% 215.75/34.29 % Success case prop encoding time : 0.000
% 215.75/34.29 % Success case prop solver time : 0.000
% 215.75/34.29 % Current number of processed clauses : 13907
% 215.75/34.29 % Positive orientable unit clauses : 3871
% 215.75/34.29 % Positive unorientable unit clauses: 44
% 215.75/34.29 % Negative unit clauses : 5521
% 215.75/34.29 % Non-unit-clauses : 4471
% 215.75/34.29 % Current number of unprocessed clauses: 229587
% 215.75/34.29 % ...number of literals in the above : 644397
% 215.75/34.29 % Current number of archived formulas : 0
% 215.75/34.29 % Current number of archived clauses : 1175
% 215.75/34.29 % Clause-clause subsumption calls (NU) : 2492665
% 215.75/34.29 % Rec. Clause-clause subsumption calls : 1499114
% 215.75/34.29 % Non-unit clause-clause subsumptions : 6732
% 215.75/34.29 % Unit Clause-clause subsumption calls : 5691636
% 215.75/34.29 % Rewrite failures with RHS unbound : 0
% 215.75/34.29 % BW rewrite match attempts : 165892
% 215.75/34.29 % BW rewrite match successes : 422
% 215.75/34.29 % Condensation attempts : 0
% 215.75/34.29 % Condensation successes : 0
% 215.75/34.29 % Termbank termtop insertions : 7510722
% 215.75/34.29 % Search garbage collected termcells : 182723
% 215.75/34.29
% 215.75/34.29 % -------------------------------------------------
% 215.75/34.29 % User time : 31.369 s
% 215.75/34.29 % System time : 0.488 s
% 215.75/34.29 % Total time : 31.857 s
% 215.75/34.29 % Maximum resident set size: 50824 pages
% 215.75/34.29
% 215.75/34.29 % -------------------------------------------------
% 215.75/34.29 % User time : 92.061 s
% 215.75/34.29 % System time : 1.137 s
% 215.75/34.29 % Total time : 93.198 s
% 215.75/34.29 % Maximum resident set size: 30208 pages
% 215.75/34.29 % E exiting
%------------------------------------------------------------------------------