TSTP Solution File: ITP280^3 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP280^3 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 22:17:58 EDT 2024
% Result : Theorem 69.76s 18.97s
% Output : CNFRefutation 69.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 26
% Syntax : Number of formulae : 44 ( 20 unt; 20 typ; 0 def)
% Number of atoms : 32 ( 14 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 320 ( 11 ~; 4 |; 0 &; 301 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 6 ^ 10 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
real: $tType ).
thf(decl_sort2,type,
nat: $tType ).
thf(decl_sort3,type,
num: $tType ).
thf(decl_sort4,type,
vEBT_VEBT: $tType ).
thf(decl_274,type,
one_one_nat: nat ).
thf(decl_297,type,
times_times_real: real > real > real ).
thf(decl_439,type,
suc: nat > nat ).
thf(decl_453,type,
semiri5074537144036343181t_real: nat > real ).
thf(decl_498,type,
bit0: num > num ).
thf(decl_499,type,
bit1: num > num ).
thf(decl_500,type,
one: num ).
thf(decl_508,type,
numeral_numeral_nat: num > nat ).
thf(decl_510,type,
numeral_numeral_real: num > real ).
thf(decl_551,type,
ord_less_eq_real: real > real > $o ).
thf(decl_655,type,
divide_divide_nat: nat > nat > nat ).
thf(decl_661,type,
dvd_dvd_nat: nat > nat > $o ).
thf(decl_786,type,
vEBT_vebt_buildup: nat > vEBT_VEBT ).
thf(decl_788,type,
vEBT_V8646137997579335489_i_l_d: nat > nat ).
thf(decl_792,type,
vEBT_VEBT_cnt: vEBT_VEBT > real ).
thf(decl_822,type,
va: nat ).
thf(fact_1__C3_OIH_C_I3_J,axiom,
! [X1: nat] :
( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( suc @ ( suc @ va ) ) )
=> ( ( X1
= ( divide_divide_nat @ ( suc @ ( suc @ va ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
=> ( ord_less_eq_real @ ( semiri5074537144036343181t_real @ ( vEBT_V8646137997579335489_i_l_d @ ( suc @ X1 ) ) ) @ ( times_times_real @ ( vEBT_VEBT_cnt @ ( vEBT_vebt_buildup @ ( suc @ X1 ) ) ) @ ( numeral_numeral_real @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__C3_OIH_C_I3_J) ).
thf(fact_5_div2__Suc__Suc,axiom,
! [X3: nat] :
( ( divide_divide_nat @ ( suc @ ( suc @ X3 ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( suc @ ( divide_divide_nat @ X3 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_div2__Suc__Suc) ).
thf(fact_0_False,axiom,
~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( suc @ ( suc @ va ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_False) ).
thf(fact_1296_Suc__1,axiom,
( ( suc @ one_one_nat )
= ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1296_Suc__1) ).
thf(fact_1045_mult_Ocommute,axiom,
( times_times_real
= ( ^ [X1962: real,X1963: real] : ( times_times_real @ X1963 @ X1962 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1045_mult_Ocommute) ).
thf(conj_0,conjecture,
ord_less_eq_real @ ( semiri5074537144036343181t_real @ ( vEBT_V8646137997579335489_i_l_d @ ( suc @ ( suc @ ( divide_divide_nat @ va @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) ) @ ( times_times_real @ ( numeral_numeral_real @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) @ ( vEBT_VEBT_cnt @ ( vEBT_vebt_buildup @ ( suc @ ( suc @ ( divide_divide_nat @ va @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(c_0_6,plain,
! [X1: nat] :
( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( suc @ ( suc @ va ) ) )
=> ( ( X1
= ( divide_divide_nat @ ( suc @ ( suc @ va ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
=> ( ord_less_eq_real @ ( semiri5074537144036343181t_real @ ( vEBT_V8646137997579335489_i_l_d @ ( suc @ X1 ) ) ) @ ( times_times_real @ ( vEBT_VEBT_cnt @ ( vEBT_vebt_buildup @ ( suc @ X1 ) ) ) @ ( numeral_numeral_real @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_1__C3_OIH_C_I3_J]) ).
thf(c_0_7,plain,
! [X27495: nat] :
( ( divide_divide_nat @ ( suc @ ( suc @ X27495 ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( suc @ ( divide_divide_nat @ X27495 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ),
inference(variable_rename,[status(thm)],[fact_5_div2__Suc__Suc]) ).
thf(c_0_8,plain,
~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( suc @ ( suc @ va ) ) ),
inference(fof_simplification,[status(thm)],[fact_0_False]) ).
thf(c_0_9,plain,
! [X27786: nat] :
( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( suc @ ( suc @ va ) ) )
| ( X27786
!= ( divide_divide_nat @ ( suc @ ( suc @ va ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
| ( ord_less_eq_real @ ( semiri5074537144036343181t_real @ ( vEBT_V8646137997579335489_i_l_d @ ( suc @ X27786 ) ) ) @ ( times_times_real @ ( vEBT_VEBT_cnt @ ( vEBT_vebt_buildup @ ( suc @ X27786 ) ) ) @ ( numeral_numeral_real @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).
thf(c_0_10,plain,
! [X1: nat] :
( ( divide_divide_nat @ ( suc @ ( suc @ X1 ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
= ( suc @ ( divide_divide_nat @ X1 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
( ( suc @ one_one_nat )
= ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
inference(split_conjunct,[status(thm)],[fact_1296_Suc__1]) ).
thf(c_0_12,plain,
~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( suc @ ( suc @ va ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_13,plain,
( times_times_real
= ( ^ [Z0: real,Z1: real] : ( times_times_real @ Z1 @ Z0 ) ) ),
inference(fof_simplification,[status(thm)],[fact_1045_mult_Ocommute]) ).
thf(c_0_14,negated_conjecture,
~ ( ord_less_eq_real @ ( semiri5074537144036343181t_real @ ( vEBT_V8646137997579335489_i_l_d @ ( suc @ ( suc @ ( divide_divide_nat @ va @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) ) @ ( times_times_real @ ( numeral_numeral_real @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) @ ( vEBT_VEBT_cnt @ ( vEBT_vebt_buildup @ ( suc @ ( suc @ ( divide_divide_nat @ va @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
thf(c_0_15,plain,
! [X1: nat] :
( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( suc @ ( suc @ va ) ) )
| ( ord_less_eq_real @ ( semiri5074537144036343181t_real @ ( vEBT_V8646137997579335489_i_l_d @ ( suc @ X1 ) ) ) @ ( times_times_real @ ( vEBT_VEBT_cnt @ ( vEBT_vebt_buildup @ ( suc @ X1 ) ) ) @ ( numeral_numeral_real @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) )
| ( X1
!= ( divide_divide_nat @ ( suc @ ( suc @ va ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_16,plain,
! [X1: nat] :
( ( divide_divide_nat @ ( suc @ ( suc @ X1 ) ) @ ( suc @ one_one_nat ) )
= ( suc @ ( divide_divide_nat @ X1 @ ( suc @ one_one_nat ) ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_11]) ).
thf(c_0_17,plain,
~ ( dvd_dvd_nat @ ( suc @ one_one_nat ) @ ( suc @ ( suc @ va ) ) ),
inference(rw,[status(thm)],[c_0_12,c_0_11]) ).
thf(c_0_18,plain,
( times_times_real
= ( ^ [Z0: real,Z1: real] : ( times_times_real @ Z1 @ Z0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_19,negated_conjecture,
~ ( ord_less_eq_real @ ( semiri5074537144036343181t_real @ ( vEBT_V8646137997579335489_i_l_d @ ( suc @ ( suc @ ( divide_divide_nat @ va @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) ) @ ( times_times_real @ ( numeral_numeral_real @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) @ ( vEBT_VEBT_cnt @ ( vEBT_vebt_buildup @ ( suc @ ( suc @ ( divide_divide_nat @ va @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_20,plain,
ord_less_eq_real @ ( semiri5074537144036343181t_real @ ( vEBT_V8646137997579335489_i_l_d @ ( suc @ ( suc @ ( divide_divide_nat @ va @ ( suc @ one_one_nat ) ) ) ) ) ) @ ( times_times_real @ ( vEBT_VEBT_cnt @ ( vEBT_vebt_buildup @ ( suc @ ( suc @ ( divide_divide_nat @ va @ ( suc @ one_one_nat ) ) ) ) ) ) @ ( numeral_numeral_real @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ),
inference(er,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_11]),c_0_11]),c_0_16]),c_0_17])]) ).
thf(c_0_21,plain,
! [X6: real,X4: real] :
( ( times_times_real @ X4 @ X6 )
= ( times_times_real @ X6 @ X4 ) ),
inference(arg_cong,[status(thm)],[c_0_18]) ).
thf(c_0_22,negated_conjecture,
~ ( ord_less_eq_real @ ( semiri5074537144036343181t_real @ ( vEBT_V8646137997579335489_i_l_d @ ( suc @ ( suc @ ( divide_divide_nat @ va @ ( suc @ one_one_nat ) ) ) ) ) ) @ ( times_times_real @ ( numeral_numeral_real @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) @ ( vEBT_VEBT_cnt @ ( vEBT_vebt_buildup @ ( suc @ ( suc @ ( divide_divide_nat @ va @ ( suc @ one_one_nat ) ) ) ) ) ) ) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_11]),c_0_11]) ).
thf(c_0_23,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14 % Problem : ITP280^3 : TPTP v8.2.0. Released v8.1.0.
% 0.06/0.15 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat May 18 17:40:07 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.20/0.50 Running higher-order theorem proving
% 0.20/0.50 Running: /export/starexec/sandbox/solver/bin/eprover-ho --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
% 69.76/18.97 # Version: 3.1.0-ho
% 69.76/18.97 # partial match(1): HMLMSMSMSSLCHFA
% 69.76/18.97 # Preprocessing class: HMLMSMLMSSLCHFA.
% 69.76/18.97 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 69.76/18.97 # Starting new_ho_10 with 1495s (5) cores
% 69.76/18.97 # Starting sh5l with 299s (1) cores
% 69.76/18.97 # Starting new_bool_1 with 299s (1) cores
% 69.76/18.97 # Starting new_bool_2 with 299s (1) cores
% 69.76/18.97 # new_bool_2 with pid 22769 completed with status 0
% 69.76/18.97 # Result found by new_bool_2
% 69.76/18.97 # partial match(1): HMLMSMSMSSLCHFA
% 69.76/18.97 # Preprocessing class: HMLMSMLMSSLCHFA.
% 69.76/18.97 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 69.76/18.97 # Starting new_ho_10 with 1495s (5) cores
% 69.76/18.97 # Starting sh5l with 299s (1) cores
% 69.76/18.97 # Starting new_bool_1 with 299s (1) cores
% 69.76/18.97 # Starting new_bool_2 with 299s (1) cores
% 69.76/18.97 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 69.76/18.97 # Search class: HGHSM-SMLM32-DHFFFFBN
% 69.76/18.97 # partial match(1): HGHSM-SMLM32-DHFFFSBN
% 69.76/18.97 # Scheduled 5 strats onto 1 cores with 297 seconds (297 total)
% 69.76/18.97 # Starting new_ho_10 with 179s (1) cores
% 69.76/18.97 # new_ho_10 with pid 22770 completed with status 0
% 69.76/18.97 # Result found by new_ho_10
% 69.76/18.97 # partial match(1): HMLMSMSMSSLCHFA
% 69.76/18.97 # Preprocessing class: HMLMSMLMSSLCHFA.
% 69.76/18.97 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 69.76/18.97 # Starting new_ho_10 with 1495s (5) cores
% 69.76/18.97 # Starting sh5l with 299s (1) cores
% 69.76/18.97 # Starting new_bool_1 with 299s (1) cores
% 69.76/18.97 # Starting new_bool_2 with 299s (1) cores
% 69.76/18.97 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 69.76/18.97 # Search class: HGHSM-SMLM32-DHFFFFBN
% 69.76/18.97 # partial match(1): HGHSM-SMLM32-DHFFFSBN
% 69.76/18.97 # Scheduled 5 strats onto 1 cores with 297 seconds (297 total)
% 69.76/18.97 # Starting new_ho_10 with 179s (1) cores
% 69.76/18.97 # Preprocessing time : 0.235 s
% 69.76/18.97 # Presaturation interreduction done
% 69.76/18.97
% 69.76/18.97 # Proof found!
% 69.76/18.97 # SZS status Theorem
% 69.76/18.97 # SZS output start CNFRefutation
% See solution above
% 69.76/18.97 # Parsed axioms : 11117
% 69.76/18.97 # Removed by relevancy pruning/SinE : 6712
% 69.76/18.97 # Initial clauses : 9648
% 69.76/18.97 # Removed in clause preprocessing : 1591
% 69.76/18.97 # Initial clauses in saturation : 8057
% 69.76/18.97 # Processed clauses : 10905
% 69.76/18.97 # ...of these trivial : 407
% 69.76/18.97 # ...subsumed : 2550
% 69.76/18.97 # ...remaining for further processing : 7947
% 69.76/18.97 # Other redundant clauses eliminated : 1649
% 69.76/18.97 # Clauses deleted for lack of memory : 0
% 69.76/18.97 # Backward-subsumed : 63
% 69.76/18.97 # Backward-rewritten : 110
% 69.76/18.97 # Generated clauses : 10242
% 69.76/18.97 # ...of the previous two non-redundant : 7292
% 69.76/18.97 # ...aggressively subsumed : 0
% 69.76/18.97 # Contextual simplify-reflections : 79
% 69.76/18.97 # Paramodulations : 8736
% 69.76/18.97 # Factorizations : 2
% 69.76/18.97 # NegExts : 0
% 69.76/18.97 # Equation resolutions : 1682
% 69.76/18.97 # Disequality decompositions : 0
% 69.76/18.97 # Total rewrite steps : 9349
% 69.76/18.97 # ...of those cached : 7985
% 69.76/18.97 # Propositional unsat checks : 0
% 69.76/18.97 # Propositional check models : 0
% 69.76/18.97 # Propositional check unsatisfiable : 0
% 69.76/18.97 # Propositional clauses : 0
% 69.76/18.97 # Propositional clauses after purity: 0
% 69.76/18.97 # Propositional unsat core size : 0
% 69.76/18.97 # Propositional preprocessing time : 0.000
% 69.76/18.97 # Propositional encoding time : 0.000
% 69.76/18.97 # Propositional solver time : 0.000
% 69.76/18.97 # Success case prop preproc time : 0.000
% 69.76/18.97 # Success case prop encoding time : 0.000
% 69.76/18.97 # Success case prop solver time : 0.000
% 69.76/18.97 # Current number of processed clauses : 1437
% 69.76/18.97 # Positive orientable unit clauses : 559
% 69.76/18.97 # Positive unorientable unit clauses: 5
% 69.76/18.97 # Negative unit clauses : 220
% 69.76/18.97 # Non-unit-clauses : 653
% 69.76/18.97 # Current number of unprocessed clauses: 9639
% 69.76/18.97 # ...number of literals in the above : 25638
% 69.76/18.97 # Current number of archived formulas : 0
% 69.76/18.97 # Current number of archived clauses : 5376
% 69.76/18.97 # Clause-clause subsumption calls (NU) : 12524073
% 69.76/18.97 # Rec. Clause-clause subsumption calls : 1615839
% 69.76/18.97 # Non-unit clause-clause subsumptions : 1931
% 69.76/18.97 # Unit Clause-clause subsumption calls : 55699
% 69.76/18.97 # Rewrite failures with RHS unbound : 0
% 69.76/18.97 # BW rewrite match attempts : 931
% 69.76/18.97 # BW rewrite match successes : 301
% 69.76/18.97 # Condensation attempts : 10905
% 69.76/18.97 # Condensation successes : 50
% 69.76/18.97 # Termbank termtop insertions : 2166264
% 69.76/18.97 # Search garbage collected termcells : 176139
% 69.76/18.97
% 69.76/18.97 # -------------------------------------------------
% 69.76/18.97 # User time : 16.852 s
% 69.76/18.97 # System time : 0.171 s
% 69.76/18.97 # Total time : 17.023 s
% 69.76/18.97 # Maximum resident set size: 44768 pages
% 69.76/18.97
% 69.76/18.97 # -------------------------------------------------
% 69.76/18.97 # User time : 18.080 s
% 69.76/18.97 # System time : 0.204 s
% 69.76/18.97 # Total time : 18.284 s
% 69.76/18.97 # Maximum resident set size: 23872 pages
% 69.76/18.97 % E---3.1 exiting
% 69.76/18.97 % E exiting
%------------------------------------------------------------------------------