TSTP Solution File: ITP246_1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ITP246_1 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 22:20:20 EDT 2024
% Result : Theorem 158.15s 22.37s
% Output : CNFRefutation 158.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 34
% Syntax : Number of formulae : 51 ( 19 unt; 28 typ; 0 def)
% Number of atoms : 31 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 12 ~; 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 : 13 ( 7 >; 6 *; 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_603,type,
one_one_nat: nat ).
tff(decl_783,type,
suc: fun_nat_nat ).
tff(decl_848,type,
bit0: fun_num_num ).
tff(decl_850,type,
one: num ).
tff(decl_858,type,
numeral_numeral_nat: fun_num_nat ).
tff(decl_914,type,
ord_less_eq_nat: fun_nat_fun_nat_bool ).
tff(decl_1032,type,
divide_divide_nat: fun_nat_fun_nat_nat ).
tff(decl_1163,type,
vEBT_VEBT_high: fun_nat_fun_nat_nat ).
tff(decl_1261,type,
aa_nat_bool: ( fun_nat_bool * nat ) > bool ).
tff(decl_1264,type,
aa_nat_nat: ( fun_nat_nat * nat ) > nat ).
tff(decl_1278,type,
aa_nat_fun_nat_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).
tff(decl_1281,type,
aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).
tff(decl_1300,type,
aa_num_nat: ( fun_num_nat * num ) > nat ).
tff(decl_1301,type,
aa_num_num: ( fun_num_num * num ) > num ).
tff(decl_1429,type,
pp: bool > $o ).
tff(decl_1430,type,
deg: nat ).
tff(decl_1435,type,
na: nat ).
tff(decl_1440,type,
xa: nat ).
tff(decl_1441,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] :
( ( X36 = X37 )
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X36),X37))
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X37),X36)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_verit__la__disequality) ).
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(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_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_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(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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
tff(c_0_7,plain,
! [X36: nat,X37: nat] :
( ( X36 = X37 )
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X36),X37))
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X37),X36)) ),
inference(fof_simplification,[status(thm)],[fact_49_verit__la__disequality]) ).
tcf(c_0_8,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_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_335_Suc__1]) ).
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_5__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062]) ).
tcf(c_0_11,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]) ).
tff(c_0_12,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_6]) ).
tff(c_0_13,plain,
! [X18927: nat,X18928: nat] :
( ( X18927 = X18928 )
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X18927),X18928))
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X18928),X18927)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_7])]) ).
tcf(c_0_14,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_nat_nat(suc,one_one_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_nat_nat(suc,one_one_nat))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_9]) ).
tcf(c_0_15,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_9]) ).
tcf(c_0_16,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_nat_nat(suc,one_one_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_nat_nat(suc,one_one_nat))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_9]),c_0_9]) ).
tcf(c_0_17,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_12]) ).
tcf(c_0_18,plain,
! [X3: nat,X2: nat] :
( ( X2 = X3 )
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X2),X3))
| ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_eq_nat,X3),X2)) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
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)],[c_0_14,c_0_15]),c_0_15]) ).
tcf(c_0_20,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)],[c_0_16,c_0_15]),c_0_15]) ).
tcf(c_0_21,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_17,c_0_10]),c_0_10]) ).
cnf(c_0_22,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ITP246_1 : TPTP v8.2.0. Released v8.0.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sat May 18 18:07:23 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.20/0.49 Running first-order model finding
% 0.20/0.49 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 158.15/22.37 # Version: 3.1.0
% 158.15/22.37 # Preprocessing class: FMLLSMLLSSSNFFN.
% 158.15/22.37 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 158.15/22.37 # Starting new_bool_3 with 897s (3) cores
% 158.15/22.37 # Starting new_bool_1 with 897s (3) cores
% 158.15/22.37 # Starting sh5l with 299s (1) cores
% 158.15/22.37 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 299s (1) cores
% 158.15/22.37 # new_bool_3 with pid 11402 completed with status 0
% 158.15/22.37 # Result found by new_bool_3
% 158.15/22.37 # Preprocessing class: FMLLSMLLSSSNFFN.
% 158.15/22.37 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 158.15/22.37 # Starting new_bool_3 with 897s (3) cores
% 158.15/22.37 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 158.15/22.37 # Search class: FGHSM-SMLM32-DFFFFFNN
% 158.15/22.37 # Scheduled 13 strats onto 3 cores with 896 seconds (896 total)
% 158.15/22.37 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 158.15/22.37 # Starting new_bool_3 with 90s (1) cores
% 158.15/22.37 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 68s (1) cores
% 158.15/22.37 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 11406 completed with status 0
% 158.15/22.37 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 158.15/22.37 # Preprocessing class: FMLLSMLLSSSNFFN.
% 158.15/22.37 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 158.15/22.37 # Starting new_bool_3 with 897s (3) cores
% 158.15/22.37 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 158.15/22.37 # Search class: FGHSM-SMLM32-DFFFFFNN
% 158.15/22.37 # Scheduled 13 strats onto 3 cores with 896 seconds (896 total)
% 158.15/22.37 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 158.15/22.37 # Preprocessing time : 0.413 s
% 158.15/22.37 # Presaturation interreduction done
% 158.15/22.37
% 158.15/22.37 # Proof found!
% 158.15/22.37 # SZS status Theorem
% 158.15/22.37 # SZS output start CNFRefutation
% See solution above
% 158.15/22.37 # Parsed axioms : 12321
% 158.15/22.37 # Removed by relevancy pruning/SinE : 8829
% 158.15/22.37 # Initial clauses : 9256
% 158.15/22.37 # Removed in clause preprocessing : 1924
% 158.15/22.37 # Initial clauses in saturation : 7332
% 158.15/22.37 # Processed clauses : 9017
% 158.15/22.37 # ...of these trivial : 323
% 158.15/22.37 # ...subsumed : 1686
% 158.15/22.37 # ...remaining for further processing : 7008
% 158.15/22.37 # Other redundant clauses eliminated : 2083
% 158.15/22.37 # Clauses deleted for lack of memory : 0
% 158.15/22.37 # Backward-subsumed : 71
% 158.15/22.37 # Backward-rewritten : 80
% 158.15/22.37 # Generated clauses : 3737
% 158.15/22.37 # ...of the previous two non-redundant : 2795
% 158.15/22.37 # ...aggressively subsumed : 0
% 158.15/22.37 # Contextual simplify-reflections : 100
% 158.15/22.37 # Paramodulations : 2301
% 158.15/22.37 # Factorizations : 2
% 158.15/22.37 # NegExts : 0
% 158.15/22.37 # Equation resolutions : 2112
% 158.15/22.37 # Disequality decompositions : 0
% 158.15/22.37 # Total rewrite steps : 7268
% 158.15/22.37 # ...of those cached : 6394
% 158.15/22.37 # Propositional unsat checks : 2
% 158.15/22.37 # Propositional check models : 2
% 158.15/22.37 # Propositional check unsatisfiable : 0
% 158.15/22.37 # Propositional clauses : 0
% 158.15/22.37 # Propositional clauses after purity: 0
% 158.15/22.37 # Propositional unsat core size : 0
% 158.15/22.37 # Propositional preprocessing time : 0.000
% 158.15/22.37 # Propositional encoding time : 0.079
% 158.15/22.37 # Propositional solver time : 0.009
% 158.15/22.37 # Success case prop preproc time : 0.000
% 158.15/22.37 # Success case prop encoding time : 0.000
% 158.15/22.37 # Success case prop solver time : 0.000
% 158.15/22.37 # Current number of processed clauses : 658
% 158.15/22.37 # Positive orientable unit clauses : 229
% 158.15/22.37 # Positive unorientable unit clauses: 5
% 158.15/22.37 # Negative unit clauses : 150
% 158.15/22.37 # Non-unit-clauses : 274
% 158.15/22.37 # Current number of unprocessed clauses: 5980
% 158.15/22.37 # ...number of literals in the above : 21593
% 158.15/22.37 # Current number of archived formulas : 0
% 158.15/22.37 # Current number of archived clauses : 5028
% 158.15/22.37 # Clause-clause subsumption calls (NU) : 20003707
% 158.15/22.37 # Rec. Clause-clause subsumption calls : 628710
% 158.15/22.37 # Non-unit clause-clause subsumptions : 1596
% 158.15/22.37 # Unit Clause-clause subsumption calls : 31455
% 158.15/22.37 # Rewrite failures with RHS unbound : 0
% 158.15/22.37 # BW rewrite match attempts : 7135
% 158.15/22.37 # BW rewrite match successes : 356
% 158.15/22.37 # Condensation attempts : 0
% 158.15/22.37 # Condensation successes : 0
% 158.15/22.37 # Termbank termtop insertions : 1597947
% 158.15/22.37 # Search garbage collected termcells : 182725
% 158.15/22.37
% 158.15/22.37 # -------------------------------------------------
% 158.15/22.37 # User time : 20.016 s
% 158.15/22.37 # System time : 0.173 s
% 158.15/22.37 # Total time : 20.189 s
% 158.15/22.37 # Maximum resident set size: 48944 pages
% 158.15/22.37
% 158.15/22.37 # -------------------------------------------------
% 158.15/22.37 # User time : 58.774 s
% 158.15/22.37 # System time : 0.494 s
% 158.15/22.37 # Total time : 59.267 s
% 158.15/22.37 # Maximum resident set size: 27340 pages
% 158.15/22.37 % E---3.1 exiting
%------------------------------------------------------------------------------