TSTP Solution File: ITP169^1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP169^1 : TPTP v8.2.0. Released v7.5.0.
% 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 22:16:38 EDT 2024
% Result : Theorem 0.21s 0.60s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 30
% Syntax : Number of formulae : 46 ( 12 unt; 27 typ; 0 def)
% Number of atoms : 75 ( 45 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 369 ( 35 ~; 31 |; 24 &; 278 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 20 usr; 10 con; 0-4 aty)
% Number of variables : 6 ( 0 ^ 5 !; 1 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_sort2,type,
real: $tType ).
thf(decl_sort3,type,
cars: $tType ).
thf(decl_sort4,type,
traffic: $tType ).
thf(decl_sort5,type,
view_e774982825t_unit: $tType ).
thf(decl_sort6,type,
real_int: $tType ).
thf(decl_sort7,type,
nat_int: $tType ).
thf(decl_22,type,
one_one_nat: nat ).
thf(decl_26,type,
zero_zero_real: real ).
thf(decl_27,type,
len: ( cars > traffic > cars > real ) > view_e774982825t_unit > traffic > cars > real_int ).
thf(decl_28,type,
move: traffic > traffic > view_e774982825t_unit > view_e774982825t_unit ).
thf(decl_29,type,
nat_card: nat_int > nat ).
thf(decl_33,type,
ord_less_real: real > real > $o ).
thf(decl_38,type,
ord_le461438217t_unit: view_e774982825t_unit > view_e774982825t_unit > $o ).
thf(decl_39,type,
real_length: real_int > real ).
thf(decl_40,type,
regular_regular: cars > traffic > cars > real ).
thf(decl_41,type,
restrict: view_e774982825t_unit > ( cars > nat_int ) > cars > nat_int ).
thf(decl_46,type,
res: traffic > cars > nat_int ).
thf(decl_49,type,
ext_Product_unit: view_e774982825t_unit > real_int ).
thf(decl_51,type,
lan_Product_unit: view_e774982825t_unit > nat_int ).
thf(decl_54,type,
c: cars ).
thf(decl_56,type,
e: cars ).
thf(decl_57,type,
thesis: $o ).
thf(decl_58,type,
ts: traffic ).
thf(decl_61,type,
ts3: traffic ).
thf(decl_62,type,
v: view_e774982825t_unit ).
thf(decl_65,type,
esk3_0: view_e774982825t_unit ).
thf(conj_0,hypothesis,
! [X235: view_e774982825t_unit] :
( ( ( ord_le461438217t_unit @ X235 @ ( move @ ts3 @ ts @ v ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X235 ) ) )
& ( ( len @ regular_regular @ X235 @ ts @ c )
= ( ext_Product_unit @ X235 ) )
& ( ( restrict @ X235 @ ( res @ ts ) @ c )
= ( lan_Product_unit @ X235 ) )
& ( ( nat_card @ ( lan_Product_unit @ X235 ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X235 ) ) )
& ( ( len @ regular_regular @ X235 @ ts @ e )
= ( ext_Product_unit @ X235 ) )
& ( ( restrict @ X235 @ ( res @ ts ) @ e )
= ( lan_Product_unit @ X235 ) )
& ( ( nat_card @ ( lan_Product_unit @ X235 ) )
= one_one_nat ) )
=> thesis ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(conj_1,conjecture,
thesis,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(fact_4__092_060open_062_092_060exists_062v_H_092_060le_062move_Ats_Ats_H_H_Av_O_A_I0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ac_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ac_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_J_A_092_060and_062_A0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ae_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ae_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_092_060close_062,axiom,
? [X8: view_e774982825t_unit] :
( ( ord_le461438217t_unit @ X8 @ ( move @ ts3 @ ts @ v ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X8 ) ) )
& ( ( len @ regular_regular @ X8 @ ts @ c )
= ( ext_Product_unit @ X8 ) )
& ( ( restrict @ X8 @ ( res @ ts ) @ c )
= ( lan_Product_unit @ X8 ) )
& ( ( nat_card @ ( lan_Product_unit @ X8 ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X8 ) ) )
& ( ( len @ regular_regular @ X8 @ ts @ e )
= ( ext_Product_unit @ X8 ) )
& ( ( restrict @ X8 @ ( res @ ts ) @ e )
= ( lan_Product_unit @ X8 ) )
& ( ( nat_card @ ( lan_Product_unit @ X8 ) )
= one_one_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4__092_060open_062_092_060exists_062v_H_092_060le_062move_Ats_Ats_H_H_Av_O_A_I0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ac_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ac_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_J_A_092_060and_062_A0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ae_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ae_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_092_060close_062) ).
thf(c_0_3,hypothesis,
! [X914: view_e774982825t_unit] :
( ~ ( ord_le461438217t_unit @ X914 @ ( move @ ts3 @ ts @ v ) )
| ~ ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X914 ) ) )
| ( ( len @ regular_regular @ X914 @ ts @ c )
!= ( ext_Product_unit @ X914 ) )
| ( ( restrict @ X914 @ ( res @ ts ) @ c )
!= ( lan_Product_unit @ X914 ) )
| ( ( nat_card @ ( lan_Product_unit @ X914 ) )
!= one_one_nat )
| ~ ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X914 ) ) )
| ( ( len @ regular_regular @ X914 @ ts @ e )
!= ( ext_Product_unit @ X914 ) )
| ( ( restrict @ X914 @ ( res @ ts ) @ e )
!= ( lan_Product_unit @ X914 ) )
| ( ( nat_card @ ( lan_Product_unit @ X914 ) )
!= one_one_nat )
| thesis ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])]) ).
thf(c_0_4,negated_conjecture,
~ thesis,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])]) ).
thf(c_0_5,hypothesis,
! [X5: view_e774982825t_unit] :
( thesis
| ~ ( ord_le461438217t_unit @ X5 @ ( move @ ts3 @ ts @ v ) )
| ~ ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X5 ) ) )
| ( ( len @ regular_regular @ X5 @ ts @ c )
!= ( ext_Product_unit @ X5 ) )
| ( ( restrict @ X5 @ ( res @ ts ) @ c )
!= ( lan_Product_unit @ X5 ) )
| ( ( nat_card @ ( lan_Product_unit @ X5 ) )
!= one_one_nat )
| ~ ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X5 ) ) )
| ( ( len @ regular_regular @ X5 @ ts @ e )
!= ( ext_Product_unit @ X5 ) )
| ( ( restrict @ X5 @ ( res @ ts ) @ e )
!= ( lan_Product_unit @ X5 ) )
| ( ( nat_card @ ( lan_Product_unit @ X5 ) )
!= one_one_nat ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
~ thesis,
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_7,hypothesis,
! [X5: view_e774982825t_unit] :
( thesis
| ( ( nat_card @ ( lan_Product_unit @ X5 ) )
!= one_one_nat )
| ( ( restrict @ X5 @ ( res @ ts ) @ c )
!= ( lan_Product_unit @ X5 ) )
| ( ( restrict @ X5 @ ( res @ ts ) @ e )
!= ( lan_Product_unit @ X5 ) )
| ( ( len @ regular_regular @ X5 @ ts @ c )
!= ( ext_Product_unit @ X5 ) )
| ( ( len @ regular_regular @ X5 @ ts @ e )
!= ( ext_Product_unit @ X5 ) )
| ~ ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X5 ) ) )
| ~ ( ord_le461438217t_unit @ X5 @ ( move @ ts3 @ ts @ v ) ) ),
inference(cn,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
~ thesis,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_9,plain,
( ( ord_le461438217t_unit @ esk3_0 @ ( move @ ts3 @ ts @ v ) )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ esk3_0 ) ) )
& ( ( len @ regular_regular @ esk3_0 @ ts @ c )
= ( ext_Product_unit @ esk3_0 ) )
& ( ( restrict @ esk3_0 @ ( res @ ts ) @ c )
= ( lan_Product_unit @ esk3_0 ) )
& ( ( nat_card @ ( lan_Product_unit @ esk3_0 ) )
= one_one_nat )
& ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ esk3_0 ) ) )
& ( ( len @ regular_regular @ esk3_0 @ ts @ e )
= ( ext_Product_unit @ esk3_0 ) )
& ( ( restrict @ esk3_0 @ ( res @ ts ) @ e )
= ( lan_Product_unit @ esk3_0 ) )
& ( ( nat_card @ ( lan_Product_unit @ esk3_0 ) )
= one_one_nat ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_4__092_060open_062_092_060exists_062v_H_092_060le_062move_Ats_Ats_H_H_Av_O_A_I0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ac_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ac_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_J_A_092_060and_062_A0_A_060_A_092_060parallel_062ext_Av_H_092_060parallel_062_A_092_060and_062_Alen_Av_H_Ats_H_H_Ae_A_061_Aext_Av_H_A_092_060and_062_Arestrict_Av_H_A_Ires_Ats_H_H_J_Ae_A_061_Alan_Av_H_A_092_060and_062_A_124lan_Av_H_124_A_061_A1_092_060close_062])]) ).
thf(c_0_10,hypothesis,
! [X5: view_e774982825t_unit] :
( ( ( restrict @ X5 @ ( res @ ts ) @ c )
!= ( lan_Product_unit @ X5 ) )
| ( ( restrict @ X5 @ ( res @ ts ) @ e )
!= ( lan_Product_unit @ X5 ) )
| ( ( len @ regular_regular @ X5 @ ts @ c )
!= ( ext_Product_unit @ X5 ) )
| ( ( len @ regular_regular @ X5 @ ts @ e )
!= ( ext_Product_unit @ X5 ) )
| ( ( nat_card @ ( lan_Product_unit @ X5 ) )
!= one_one_nat )
| ~ ( ord_le461438217t_unit @ X5 @ ( move @ ts3 @ ts @ v ) )
| ~ ( ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ X5 ) ) ) ),
inference(sr,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_11,plain,
ord_le461438217t_unit @ esk3_0 @ ( move @ ts3 @ ts @ v ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_12,plain,
( ( restrict @ esk3_0 @ ( res @ ts ) @ c )
= ( lan_Product_unit @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_13,plain,
( ( restrict @ esk3_0 @ ( res @ ts ) @ e )
= ( lan_Product_unit @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_14,plain,
( ( len @ regular_regular @ esk3_0 @ ts @ c )
= ( ext_Product_unit @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_15,plain,
( ( len @ regular_regular @ esk3_0 @ ts @ e )
= ( ext_Product_unit @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_16,plain,
( ( nat_card @ ( lan_Product_unit @ esk3_0 ) )
= one_one_nat ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_17,plain,
ord_less_real @ zero_zero_real @ ( real_length @ ( ext_Product_unit @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_18,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : ITP169^1 : TPTP v8.2.0. Released v7.5.0.
% 0.08/0.15 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat May 18 17:53:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.21/0.50 Running higher-order theorem proving
% 0.21/0.50 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
% 0.21/0.60 # Version: 3.1.0-ho
% 0.21/0.60 # Preprocessing class: HSLSSMSMSSSNSSA.
% 0.21/0.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.60 # Starting new_ho_10_unif with 1500s (5) cores
% 0.21/0.60 # Starting sh3l with 300s (1) cores
% 0.21/0.60 # Starting new_ho_6 with 300s (1) cores
% 0.21/0.60 # Starting lpo6_lambda_fix with 300s (1) cores
% 0.21/0.60 # sh3l with pid 10919 completed with status 0
% 0.21/0.60 # Result found by sh3l
% 0.21/0.60 # Preprocessing class: HSLSSMSMSSSNSSA.
% 0.21/0.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.60 # Starting new_ho_10_unif with 1500s (5) cores
% 0.21/0.60 # Starting sh3l with 300s (1) cores
% 0.21/0.60 # SinE strategy is gf120_gu_RUU_F100_L01000
% 0.21/0.60 # Search class: HGHSM-FSLM33-MSSFFSBN
% 0.21/0.60 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.60 # Starting new_ho_10 with 181s (1) cores
% 0.21/0.60 # new_ho_10 with pid 10922 completed with status 0
% 0.21/0.60 # Result found by new_ho_10
% 0.21/0.60 # Preprocessing class: HSLSSMSMSSSNSSA.
% 0.21/0.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.60 # Starting new_ho_10_unif with 1500s (5) cores
% 0.21/0.60 # Starting sh3l with 300s (1) cores
% 0.21/0.60 # SinE strategy is gf120_gu_RUU_F100_L01000
% 0.21/0.60 # Search class: HGHSM-FSLM33-MSSFFSBN
% 0.21/0.60 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.60 # Starting new_ho_10 with 181s (1) cores
% 0.21/0.60 # Preprocessing time : 0.006 s
% 0.21/0.60 # Presaturation interreduction done
% 0.21/0.60
% 0.21/0.60 # Proof found!
% 0.21/0.60 # SZS status Theorem
% 0.21/0.60 # SZS output start CNFRefutation
% See solution above
% 0.21/0.60 # Parsed axioms : 333
% 0.21/0.60 # Removed by relevancy pruning/SinE : 131
% 0.21/0.60 # Initial clauses : 472
% 0.21/0.60 # Removed in clause preprocessing : 19
% 0.21/0.60 # Initial clauses in saturation : 453
% 0.21/0.60 # Processed clauses : 528
% 0.21/0.60 # ...of these trivial : 11
% 0.21/0.60 # ...subsumed : 88
% 0.21/0.60 # ...remaining for further processing : 429
% 0.21/0.60 # Other redundant clauses eliminated : 46
% 0.21/0.60 # Clauses deleted for lack of memory : 0
% 0.21/0.60 # Backward-subsumed : 2
% 0.21/0.60 # Backward-rewritten : 0
% 0.21/0.60 # Generated clauses : 70
% 0.21/0.60 # ...of the previous two non-redundant : 38
% 0.21/0.60 # ...aggressively subsumed : 0
% 0.21/0.60 # Contextual simplify-reflections : 0
% 0.21/0.60 # Paramodulations : 27
% 0.21/0.60 # Factorizations : 0
% 0.21/0.60 # NegExts : 0
% 0.21/0.60 # Equation resolutions : 47
% 0.21/0.60 # Disequality decompositions : 0
% 0.21/0.60 # Total rewrite steps : 57
% 0.21/0.60 # ...of those cached : 36
% 0.21/0.60 # Propositional unsat checks : 0
% 0.21/0.60 # Propositional check models : 0
% 0.21/0.60 # Propositional check unsatisfiable : 0
% 0.21/0.60 # Propositional clauses : 0
% 0.21/0.60 # Propositional clauses after purity: 0
% 0.21/0.60 # Propositional unsat core size : 0
% 0.21/0.60 # Propositional preprocessing time : 0.000
% 0.21/0.60 # Propositional encoding time : 0.000
% 0.21/0.60 # Propositional solver time : 0.000
% 0.21/0.60 # Success case prop preproc time : 0.000
% 0.21/0.60 # Success case prop encoding time : 0.000
% 0.21/0.60 # Success case prop solver time : 0.000
% 0.21/0.60 # Current number of processed clauses : 42
% 0.21/0.60 # Positive orientable unit clauses : 20
% 0.21/0.60 # Positive unorientable unit clauses: 0
% 0.21/0.60 # Negative unit clauses : 7
% 0.21/0.60 # Non-unit-clauses : 15
% 0.21/0.60 # Current number of unprocessed clauses: 306
% 0.21/0.60 # ...number of literals in the above : 1212
% 0.21/0.60 # Current number of archived formulas : 0
% 0.21/0.60 # Current number of archived clauses : 345
% 0.21/0.60 # Clause-clause subsumption calls (NU) : 46156
% 0.21/0.60 # Rec. Clause-clause subsumption calls : 5941
% 0.21/0.60 # Non-unit clause-clause subsumptions : 64
% 0.21/0.60 # Unit Clause-clause subsumption calls : 197
% 0.21/0.60 # Rewrite failures with RHS unbound : 0
% 0.21/0.60 # BW rewrite match attempts : 17
% 0.21/0.60 # BW rewrite match successes : 0
% 0.21/0.60 # Condensation attempts : 528
% 0.21/0.60 # Condensation successes : 0
% 0.21/0.60 # Termbank termtop insertions : 55292
% 0.21/0.60 # Search garbage collected termcells : 11085
% 0.21/0.60
% 0.21/0.60 # -------------------------------------------------
% 0.21/0.60 # User time : 0.067 s
% 0.21/0.60 # System time : 0.011 s
% 0.21/0.60 # Total time : 0.078 s
% 0.21/0.60 # Maximum resident set size: 4008 pages
% 0.21/0.60
% 0.21/0.60 # -------------------------------------------------
% 0.21/0.60 # User time : 0.080 s
% 0.21/0.60 # System time : 0.014 s
% 0.21/0.60 # Total time : 0.094 s
% 0.21/0.60 # Maximum resident set size: 2288 pages
% 0.21/0.60 % E---3.1 exiting
% 0.80/0.60 % E exiting
%------------------------------------------------------------------------------