%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP238_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 : n015.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 12:54:50 PM UTC 2026
% Result : Theorem 211.29s 34.27s
% Output : CNFRefutation 211.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 22 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 18 ~; 4 |; 0 &)
% ( 0 <=>; 3 =>; 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; 2 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
fun_nat_fun_nat_nat: $tType ).
tff(decl_sort2,type,
nat: $tType ).
tff(decl_sort3,type,
fun_nat_nat: $tType ).
tff(decl_sort4,type,
list_VEBT_VEBT: $tType ).
tff(decl_sort5,type,
num: $tType ).
tff(decl_sort6,type,
option_nat: $tType ).
tff(decl_sort7,type,
vEBT_VEBT: $tType ).
tff(decl_sort8,type,
fun_num_nat: $tType ).
tff(decl_sort9,type,
fun_num_num: $tType ).
tff(decl_942,type,
one_one_nat: nat ).
tff(decl_1114,type,
nth_VEBT_VEBT: ( nat * list_VEBT_VEBT ) > vEBT_VEBT ).
tff(decl_1143,type,
suc: fun_nat_nat ).
tff(decl_1210,type,
bit0: fun_num_num ).
tff(decl_1212,type,
one: num ).
tff(decl_1220,type,
numeral_numeral_nat: fun_num_nat ).
tff(decl_1226,type,
none_nat: option_nat ).
tff(decl_1229,type,
some_nat: nat > option_nat ).
tff(decl_1452,type,
divide_divide_nat: fun_nat_fun_nat_nat ).
tff(decl_1601,type,
vEBT_VEBT_high: fun_nat_fun_nat_nat ).
tff(decl_1638,type,
vEBT_vebt_mint: vEBT_VEBT > option_nat ).
tff(decl_1738,type,
aa_nat_nat: ( nat * fun_nat_nat ) > nat ).
tff(decl_1762,type,
aa_nat_fun_nat_nat: ( nat * fun_nat_fun_nat_nat ) > fun_nat_nat ).
tff(decl_1786,type,
aa_num_nat: ( num * fun_num_nat ) > nat ).
tff(decl_1787,type,
aa_num_num: ( num * fun_num_num ) > num ).
tff(decl_2085,type,
deg: nat ).
tff(decl_2089,type,
na: nat ).
tff(decl_2091,type,
thesis: $o ).
tff(decl_2092,type,
treeList: list_VEBT_VEBT ).
tff(decl_2093,type,
xa: nat ).
tff(decl_2103,type,
esk3_1: option_nat > nat ).
fof(conj_1,conjecture,
thesis,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(fact_0_False,axiom,
vEBT_vebt_mint(nth_VEBT_VEBT(treeList,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)))))) != none_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_False) ).
tff(conj_0,hypothesis,
! [X21335: nat] :
( ( vEBT_vebt_mint(nth_VEBT_VEBT(treeList,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(X21335) )
=> thesis ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(fact_1__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_1__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062) ).
tff(fact_1123_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_1123_Suc__1) ).
tff(fact_85_option_Oexhaust,axiom,
! [X121: option_nat] :
( ( X121 != none_nat )
=> ~ ! [X122: nat] : ( X121 != some_nat(X122) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_option_Oexhaust) ).
fof(c_0_6,negated_conjecture,
~ thesis,
inference(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_7,negated_conjecture,
~ thesis,
inference(fof_simplification,[status(thm)],[c_0_6]) ).
tff(c_0_8,plain,
vEBT_vebt_mint(nth_VEBT_VEBT(treeList,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)))))) != none_nat,
inference(fof_simplification,[status(thm)],[fact_0_False]) ).
tff(c_0_9,hypothesis,
! [X21336: nat] :
( thesis
| ( vEBT_vebt_mint(nth_VEBT_VEBT(treeList,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(X21336) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])]) ).
tcf(c_0_10,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_1__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062]) ).
tcf(c_0_11,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_1123_Suc__1]) ).
fof(c_0_12,negated_conjecture,
~ thesis,
inference(fof_nnf,[status(thm)],[c_0_7]) ).
tff(c_0_13,plain,
! [X121: option_nat] :
( ( X121 != none_nat )
=> ~ ! [X122: nat] : ( X121 != some_nat(X122) ) ),
inference(fof_simplification,[status(thm)],[fact_85_option_Oexhaust]) ).
tff(c_0_14,plain,
vEBT_vebt_mint(nth_VEBT_VEBT(treeList,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)))))) != none_nat,
inference(fof_nnf,[status(thm)],[c_0_8]) ).
tcf(c_0_15,hypothesis,
! [X3: nat] :
( ( vEBT_vebt_mint(nth_VEBT_VEBT(treeList,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(X3) )
| thesis ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
tcf(c_0_16,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_10,c_0_11]) ).
cnf(c_0_17,negated_conjecture,
~ thesis,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
tff(c_0_18,plain,
! [X21347: option_nat] :
( ( X21347 = some_nat(esk3_1(X21347)) )
| ( X21347 = none_nat ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
tcf(c_0_19,plain,
vEBT_vebt_mint(nth_VEBT_VEBT(treeList,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)))))) != none_nat,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
tcf(c_0_20,hypothesis,
! [X3: nat] : vEBT_vebt_mint(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na))) != some_nat(X3),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_11]),c_0_16]),c_0_17]) ).
tcf(c_0_21,plain,
! [X21: option_nat] :
( ( X21 = some_nat(esk3_1(X21)) )
| ( X21 = none_nat ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
tcf(c_0_22,plain,
vEBT_vebt_mint(nth_VEBT_VEBT(treeList,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),na))) != none_nat,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_11]),c_0_16]) ).
cnf(c_0_23,hypothesis,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21])]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP238_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n015.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 22:18:21 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.44 Running first-order theorem proving
% 0.10/0.44 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
% 211.29/34.27 % Version: 3.5.1
% 211.29/34.27 % Preprocessing class: FMLLSMLLSSSNFFN.
% 211.29/34.27 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 211.29/34.27 % Starting new_bool_3 with 897s (3) cores
% 211.29/34.27 % Starting new_bool_1 with 897s (3) cores
% 211.29/34.27 % Starting sh5l with 299s (1) cores
% 211.29/34.27 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 211.29/34.27 % new_bool_1 with pid 4049735 completed with status 0
% 211.29/34.27 % Result found by new_bool_1
% 211.29/34.27 % Preprocessing class: FMLLSMLLSSSNFFN.
% 211.29/34.27 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 211.29/34.27 % Starting new_bool_3 with 897s (3) cores
% 211.29/34.27 % Starting new_bool_1 with 897s (3) cores
% 211.29/34.27 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 211.29/34.27 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 211.29/34.27 % Search class: FGHSM-SMLM32-DFFFFFNN
% 211.29/34.27 % Scheduled 13 strats onto 3 cores with 896 seconds (896 total)
% 211.29/34.27 % Starting SubtermCWHack with 81s (1) cores
% 211.29/34.27 % Starting new_bool_1 with 90s (1) cores
% 211.29/34.27 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 68s (1) cores
% 211.29/34.27 % SubtermCWHack with pid 4049738 completed with status 0
% 211.29/34.27 % Result found by SubtermCWHack
% 211.29/34.27 % Preprocessing class: FMLLSMLLSSSNFFN.
% 211.29/34.27 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 211.29/34.27 % Starting new_bool_3 with 897s (3) cores
% 211.29/34.27 % Starting new_bool_1 with 897s (3) cores
% 211.29/34.27 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 211.29/34.27 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 211.29/34.27 % Search class: FGHSM-SMLM32-DFFFFFNN
% 211.29/34.27 % Scheduled 13 strats onto 3 cores with 896 seconds (896 total)
% 211.29/34.27 % Starting SubtermCWHack with 81s (1) cores
% 211.29/34.27 % Preprocessing time : 0.253 s
% 211.29/34.27
% 211.29/34.27 % Proof found!
% 211.29/34.27 % SZS status Theorem
% 211.29/34.27 % SZS output start CNFRefutation
% See solution above
% 211.29/34.27 % Parsed axioms : 13554
% 211.29/34.27 % Removed by relevancy pruning/SinE : 9568
% 211.29/34.27 % Initial clauses : 11690
% 211.29/34.27 % Removed in clause preprocessing : 2036
% 211.29/34.27 % Initial clauses in saturation : 9654
% 211.29/34.27 % Processed clauses : 59906
% 211.29/34.27 % ...of these trivial : 2168
% 211.29/34.27 % ...subsumed : 43549
% 211.29/34.27 % ...remaining for further processing : 14189
% 211.29/34.27 % Other redundant clauses eliminated : 3270
% 211.29/34.27 % Clauses deleted for lack of memory : 0
% 211.29/34.27 % Backward-subsumed : 614
% 211.29/34.27 % Backward-rewritten : 2161
% 211.29/34.27 % Generated clauses : 635975
% 211.29/34.27 % ...of the previous two non-redundant : 534312
% 211.29/34.27 % ...aggressively subsumed : 0
% 211.29/34.27 % Contextual simplify-reflections : 40
% 211.29/34.27 % Paramodulations : 632459
% 211.29/34.27 % Factorizations : 191
% 211.29/34.27 % NegExts : 0
% 211.29/34.27 % Equation resolutions : 3375
% 211.29/34.27 % Disequality decompositions : 0
% 211.29/34.27 % Total rewrite steps : 301686
% 211.29/34.27 % ...of those cached : 279509
% 211.29/34.27 % Propositional unsat checks : 0
% 211.29/34.27 % Propositional check models : 0
% 211.29/34.27 % Propositional check unsatisfiable : 0
% 211.29/34.27 % Propositional clauses : 0
% 211.29/34.27 % Propositional clauses after purity: 0
% 211.29/34.27 % Propositional unsat core size : 0
% 211.29/34.27 % Propositional preprocessing time : 0.000
% 211.29/34.27 % Propositional encoding time : 0.000
% 211.29/34.27 % Propositional solver time : 0.000
% 211.29/34.27 % Success case prop preproc time : 0.000
% 211.29/34.27 % Success case prop encoding time : 0.000
% 211.29/34.27 % Success case prop solver time : 0.000
% 211.29/34.27 % Current number of processed clauses : 10584
% 211.29/34.27 % Positive orientable unit clauses : 3442
% 211.29/34.27 % Positive unorientable unit clauses: 51
% 211.29/34.27 % Negative unit clauses : 2377
% 211.29/34.27 % Non-unit-clauses : 4714
% 211.29/34.27 % Current number of unprocessed clauses: 470717
% 211.29/34.27 % ...number of literals in the above : 1581532
% 211.29/34.27 % Current number of archived formulas : 0
% 211.29/34.27 % Current number of archived clauses : 2781
% 211.29/34.27 % Clause-clause subsumption calls (NU) : 5300479
% 211.29/34.27 % Rec. Clause-clause subsumption calls : 2989890
% 211.29/34.27 % Non-unit clause-clause subsumptions : 19163
% 211.29/34.27 % Unit Clause-clause subsumption calls : 6207142
% 211.29/34.27 % Rewrite failures with RHS unbound : 0
% 211.29/34.27 % BW rewrite match attempts : 50596
% 211.29/34.27 % BW rewrite match successes : 2209
% 211.29/34.27 % Condensation attempts : 0
% 211.29/34.27 % Condensation successes : 0
% 211.29/34.27 % Termbank termtop insertions : 11641675
% 211.29/34.27 % Search garbage collected termcells : 217403
% 211.29/34.27
% 211.29/34.27 % -------------------------------------------------
% 211.29/34.27 % User time : 30.036 s
% 211.29/34.27 % System time : 0.633 s
% 211.29/34.27 % Total time : 30.669 s
% 211.29/34.27 % Maximum resident set size: 61240 pages
% 211.29/34.27
% 211.29/34.27 % -------------------------------------------------
% 211.29/34.27 % User time : 89.420 s
% 211.29/34.27 % System time : 1.196 s
% 211.29/34.27 % Total time : 90.615 s
% 211.29/34.27 % Maximum resident set size: 34560 pages
% 211.29/34.27 % E exiting
%------------------------------------------------------------------------------