%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP246_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 : n018.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 12:57:05 PM UTC 2026
% Result : Theorem 127.02s 21.45s
% Output : CNFRefutation 127.02s
% 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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',fact_335_Suc__1) ).
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/sandbox/benchmark/theBenchmark.p',fact_2_aaaa) ).
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/sandbox/benchmark/theBenchmark.p',fact_0_bbbb) ).
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,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_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,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_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,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_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,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_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)],[c_0_16,c_0_9]),c_0_9]) ).
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
% 0.00/0.03 % Problem : ITP246_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 % Computer : n018.cluster.edu
% 0.13/0.42 % Model : x86_64 x86_64
% 0.13/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42 % Memory : 8046.5625MB
% 0.13/0.42 % OS : Linux 6.8.0-71-generic
% 0.13/0.42 % CPULimit : 300
% 0.13/0.42 % WCLimit : 300
% 0.13/0.42 % DateTime : Sun Sep 20 22:19:28 UTC 2026
% 0.13/0.43 % CPUTime :
% 0.13/0.43 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.48 Running first-order theorem proving
% 0.17/0.48 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
% 127.02/21.45 % Version: 3.5.1
% 127.02/21.45 % Preprocessing class: FMLLSMLLSSSNFFN.
% 127.02/21.45 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 127.02/21.45 % Starting new_bool_3 with 897s (3) cores
% 127.02/21.45 % Starting new_bool_1 with 897s (3) cores
% 127.02/21.45 % Starting sh5l with 299s (1) cores
% 127.02/21.45 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 127.02/21.45 % new_bool_1 with pid 310665 completed with status 0
% 127.02/21.45 % Result found by new_bool_1
% 127.02/21.45 % Preprocessing class: FMLLSMLLSSSNFFN.
% 127.02/21.45 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 127.02/21.45 % Starting new_bool_3 with 897s (3) cores
% 127.02/21.45 % Starting new_bool_1 with 897s (3) cores
% 127.02/21.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 127.02/21.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 127.02/21.45 % Search class: FGHSM-SMLM32-DFFFFFNN
% 127.02/21.45 % Scheduled 13 strats onto 3 cores with 896 seconds (896 total)
% 127.02/21.45 % Starting SubtermCWHack with 81s (1) cores
% 127.02/21.45 % Starting new_bool_1 with 90s (1) cores
% 127.02/21.45 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 68s (1) cores
% 127.02/21.45 % new_bool_1 with pid 310669 completed with status 0
% 127.02/21.45 % Result found by new_bool_1
% 127.02/21.45 % Preprocessing class: FMLLSMLLSSSNFFN.
% 127.02/21.45 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 127.02/21.45 % Starting new_bool_3 with 897s (3) cores
% 127.02/21.45 % Starting new_bool_1 with 897s (3) cores
% 127.02/21.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 127.02/21.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 127.02/21.45 % Search class: FGHSM-SMLM32-DFFFFFNN
% 127.02/21.45 % Scheduled 13 strats onto 3 cores with 896 seconds (896 total)
% 127.02/21.45 % Starting SubtermCWHack with 81s (1) cores
% 127.02/21.45 % Starting new_bool_1 with 90s (1) cores
% 127.02/21.45 % Preprocessing time : 0.523 s
% 127.02/21.45 % Presaturation interreduction done
% 127.02/21.45
% 127.02/21.45 % Proof found!
% 127.02/21.45 % SZS status Theorem
% 127.02/21.45 % SZS output start CNFRefutation
% See solution above
% 127.02/21.45 % Parsed axioms : 12321
% 127.02/21.45 % Removed by relevancy pruning/SinE : 8829
% 127.02/21.45 % Initial clauses : 9256
% 127.02/21.45 % Removed in clause preprocessing : 1924
% 127.02/21.45 % Initial clauses in saturation : 7332
% 127.02/21.45 % Processed clauses : 14933
% 127.02/21.45 % ...of these trivial : 443
% 127.02/21.45 % ...subsumed : 5871
% 127.02/21.45 % ...remaining for further processing : 8619
% 127.02/21.45 % Other redundant clauses eliminated : 2200
% 127.02/21.45 % Clauses deleted for lack of memory : 0
% 127.02/21.45 % Backward-subsumed : 79
% 127.02/21.45 % Backward-rewritten : 196
% 127.02/21.45 % Generated clauses : 24411
% 127.02/21.45 % ...of the previous two non-redundant : 19545
% 127.02/21.45 % ...aggressively subsumed : 0
% 127.02/21.45 % Contextual simplify-reflections : 104
% 127.02/21.45 % Paramodulations : 22851
% 127.02/21.45 % Factorizations : 4
% 127.02/21.45 % NegExts : 0
% 127.02/21.45 % Equation resolutions : 2234
% 127.02/21.45 % Disequality decompositions : 0
% 127.02/21.45 % Total rewrite steps : 21686
% 127.02/21.45 % ...of those cached : 17380
% 127.02/21.45 % Propositional unsat checks : 2
% 127.02/21.45 % Propositional check models : 2
% 127.02/21.45 % Propositional check unsatisfiable : 0
% 127.02/21.45 % Propositional clauses : 0
% 127.02/21.45 % Propositional clauses after purity: 0
% 127.02/21.45 % Propositional unsat core size : 0
% 127.02/21.45 % Propositional preprocessing time : 0.000
% 127.02/21.45 % Propositional encoding time : 0.070
% 127.02/21.45 % Propositional solver time : 0.009
% 127.02/21.45 % Success case prop preproc time : 0.000
% 127.02/21.45 % Success case prop encoding time : 0.000
% 127.02/21.45 % Success case prop solver time : 0.000
% 127.02/21.45 % Current number of processed clauses : 2157
% 127.02/21.45 % Positive orientable unit clauses : 795
% 127.02/21.45 % Positive unorientable unit clauses: 43
% 127.02/21.45 % Negative unit clauses : 772
% 127.02/21.45 % Non-unit-clauses : 547
% 127.02/21.45 % Current number of unprocessed clauses: 16260
% 127.02/21.45 % ...number of literals in the above : 34665
% 127.02/21.45 % Current number of archived formulas : 0
% 127.02/21.45 % Current number of archived clauses : 5141
% 127.02/21.45 % Clause-clause subsumption calls (NU) : 22994853
% 127.02/21.45 % Rec. Clause-clause subsumption calls : 716821
% 127.02/21.45 % Non-unit clause-clause subsumptions : 2427
% 127.02/21.45 % Unit Clause-clause subsumption calls : 39394
% 127.02/21.45 % Rewrite failures with RHS unbound : 0
% 127.02/21.45 % BW rewrite match attempts : 10697
% 127.02/21.45 % BW rewrite match successes : 883
% 127.02/21.45 % Condensation attempts : 0
% 127.02/21.45 % Condensation successes : 0
% 127.02/21.45 % Termbank termtop insertions : 1982423
% 127.02/21.45 % Search garbage collected termcells : 182723
% 127.02/21.45
% 127.02/21.45 % -------------------------------------------------
% 127.02/21.45 % User time : 18.274 s
% 127.02/21.45 % System time : 0.156 s
% 127.02/21.45 % Total time : 18.430 s
% 127.02/21.45 % Maximum resident set size: 50312 pages
% 127.02/21.45
% 127.02/21.45 % -------------------------------------------------
% 127.02/21.45 % User time : 54.527 s
% 127.02/21.45 % System time : 0.822 s
% 127.02/21.45 % Total time : 55.350 s
% 127.02/21.45 % Maximum resident set size: 30208 pages
% 127.02/21.45 % E exiting
%------------------------------------------------------------------------------