%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP168^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 : Wed Sep 30 08:04:34 AM UTC 2026
% Result : Theorem 6.78s 1.41s
% Output : CNFRefutation 6.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 52 ( 38 equ; 0 cnn)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 300 ( 17 ~; 13 |; 16 &; 253 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 8 con; 0-4 aty)
% Number of variables : 28 ( 6 ^; 21 !; 1 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
cars: $tType ).
thf(decl_sort2,type,
real: $tType ).
thf(decl_sort3,type,
nat_int: $tType ).
thf(decl_sort4,type,
product_unit: $tType ).
thf(decl_sort5,type,
view_e774982825t_unit: $tType ).
thf(decl_sort6,type,
traffic: $tType ).
thf(decl_sort7,type,
real_int: $tType ).
thf(decl_24,type,
fun_upd_cars_nat_int: ( cars > nat_int ) > cars > nat_int > cars > nat_int ).
thf(decl_25,type,
minus_minus_real: real > real > real ).
thf(decl_29,type,
move: traffic > traffic > view_e774982825t_unit > view_e774982825t_unit ).
thf(decl_34,type,
nat_union: nat_int > nat_int > nat_int ).
thf(decl_35,type,
bot_bot_nat_int: nat_int ).
thf(decl_56,type,
product_Unity: product_unit ).
thf(decl_58,type,
real_shift: real_int > real > real_int ).
thf(decl_60,type,
braking_distance: traffic > cars > real ).
thf(decl_62,type,
clm: traffic > cars > nat_int ).
thf(decl_64,type,
create_reservation: traffic > cars > traffic > $o ).
thf(decl_65,type,
dyn: traffic > cars > real > real ).
thf(decl_67,type,
physical_size: traffic > cars > real ).
thf(decl_68,type,
pos: traffic > cars > real ).
thf(decl_69,type,
res: traffic > cars > nat_int ).
thf(decl_74,type,
ext_Product_unit: view_e774982825t_unit > real_int ).
thf(decl_80,type,
lan_Product_unit: view_e774982825t_unit > nat_int ).
thf(decl_90,type,
own_Product_unit: view_e774982825t_unit > cars ).
thf(decl_94,type,
view_e912666823t_unit: real_int > nat_int > cars > product_unit > view_e774982825t_unit ).
thf(decl_95,type,
ts: traffic ).
thf(decl_97,type,
ts_a: traffic ).
thf(decl_98,type,
ts3: traffic ).
thf(decl_99,type,
v: view_e774982825t_unit ).
thf(decl_101,type,
esk1_0: cars ).
thf(fact_44_traffic_Ocreate__reservation__def,axiom,
( create_reservation
= ( ^ [X10: traffic,X54: cars,X11: traffic] :
( ( ( pos @ X11 )
= ( pos @ X10 ) )
& ( ( res @ X11 )
= ( fun_upd_cars_nat_int @ ( res @ X10 ) @ X54 @ ( nat_union @ ( res @ X10 @ X54 ) @ ( clm @ X10 @ X54 ) ) ) )
& ( ( dyn @ X11 )
= ( dyn @ X10 ) )
& ( ( clm @ X11 )
= ( fun_upd_cars_nat_int @ ( clm @ X10 ) @ X54 @ bot_bot_nat_int ) )
& ( ( physical_size @ X11 )
= ( physical_size @ X10 ) )
& ( ( braking_distance @ X11 )
= ( braking_distance @ X10 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rfPmVVJdSq/E---3.1_3146069.p',fact_44_traffic_Ocreate__reservation__def) ).
thf(fact_1_cr__res_Ohyps_I2_J,axiom,
? [X1: cars] : ( create_reservation @ ts_a @ X1 @ ts ),
file('/export/starexec/sandbox2/tmp/tmp.rfPmVVJdSq/E---3.1_3146069.p',fact_1_cr__res_Ohyps_I2_J) ).
thf(conj_0,conjecture,
( ( move @ ts3 @ ts_a @ v )
= ( move @ ts3 @ ts @ v ) ),
file('/export/starexec/sandbox2/tmp/tmp.rfPmVVJdSq/E---3.1_3146069.p',conj_0) ).
thf(fact_7_traffic_Omove__def,axiom,
( move
= ( ^ [X10: traffic,X11: traffic,X12: view_e774982825t_unit] : ( view_e912666823t_unit @ ( real_shift @ ( ext_Product_unit @ X12 ) @ ( minus_minus_real @ ( pos @ X11 @ ( own_Product_unit @ X12 ) ) @ ( pos @ X10 @ ( own_Product_unit @ X12 ) ) ) ) @ ( lan_Product_unit @ X12 ) @ ( own_Product_unit @ X12 ) @ product_Unity ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rfPmVVJdSq/E---3.1_3146069.p',fact_7_traffic_Omove__def) ).
thf(c_0_4,plain,
! [X2083: traffic,X2084: cars,X2085: traffic] :
( ( create_reservation @ X2083 @ X2084 @ X2085 )
<=> ( ( ( pos @ X2085 )
= ( pos @ X2083 ) )
& ( ( res @ X2085 )
= ( fun_upd_cars_nat_int @ ( res @ X2083 ) @ X2084 @ ( nat_union @ ( res @ X2083 @ X2084 ) @ ( clm @ X2083 @ X2084 ) ) ) )
& ( ( dyn @ X2085 )
= ( dyn @ X2083 ) )
& ( ( clm @ X2085 )
= ( fun_upd_cars_nat_int @ ( clm @ X2083 ) @ X2084 @ bot_bot_nat_int ) )
& ( ( physical_size @ X2085 )
= ( physical_size @ X2083 ) )
& ( ( braking_distance @ X2085 )
= ( braking_distance @ X2083 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_44_traffic_Ocreate__reservation__def])]) ).
thf(c_0_5,plain,
! [X2420: traffic,X2421: cars,X2422: traffic] :
( ( ( ( pos @ X2422 )
= ( pos @ X2420 ) )
| ~ ( create_reservation @ X2420 @ X2421 @ X2422 ) )
& ( ( ( res @ X2422 )
= ( fun_upd_cars_nat_int @ ( res @ X2420 ) @ X2421 @ ( nat_union @ ( res @ X2420 @ X2421 ) @ ( clm @ X2420 @ X2421 ) ) ) )
| ~ ( create_reservation @ X2420 @ X2421 @ X2422 ) )
& ( ( ( dyn @ X2422 )
= ( dyn @ X2420 ) )
| ~ ( create_reservation @ X2420 @ X2421 @ X2422 ) )
& ( ( ( clm @ X2422 )
= ( fun_upd_cars_nat_int @ ( clm @ X2420 ) @ X2421 @ bot_bot_nat_int ) )
| ~ ( create_reservation @ X2420 @ X2421 @ X2422 ) )
& ( ( ( physical_size @ X2422 )
= ( physical_size @ X2420 ) )
| ~ ( create_reservation @ X2420 @ X2421 @ X2422 ) )
& ( ( ( braking_distance @ X2422 )
= ( braking_distance @ X2420 ) )
| ~ ( create_reservation @ X2420 @ X2421 @ X2422 ) )
& ( ( ( pos @ X2422 )
!= ( pos @ X2420 ) )
| ( ( res @ X2422 )
!= ( fun_upd_cars_nat_int @ ( res @ X2420 ) @ X2421 @ ( nat_union @ ( res @ X2420 @ X2421 ) @ ( clm @ X2420 @ X2421 ) ) ) )
| ( ( dyn @ X2422 )
!= ( dyn @ X2420 ) )
| ( ( clm @ X2422 )
!= ( fun_upd_cars_nat_int @ ( clm @ X2420 ) @ X2421 @ bot_bot_nat_int ) )
| ( ( physical_size @ X2422 )
!= ( physical_size @ X2420 ) )
| ( ( braking_distance @ X2422 )
!= ( braking_distance @ X2420 ) )
| ( create_reservation @ X2420 @ X2421 @ X2422 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
thf(c_0_6,plain,
create_reservation @ ts_a @ esk1_0 @ ts,
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_1_cr__res_Ohyps_I2_J])]) ).
thf(c_0_7,negated_conjecture,
( ( move @ ts3 @ ts_a @ v )
!= ( move @ ts3 @ ts @ v ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_8,plain,
! [X2078: traffic,X2079: traffic,X2080: view_e774982825t_unit] :
( ( move @ X2078 @ X2079 @ X2080 )
= ( view_e912666823t_unit @ ( real_shift @ ( ext_Product_unit @ X2080 ) @ ( minus_minus_real @ ( pos @ X2079 @ ( own_Product_unit @ X2080 ) ) @ ( pos @ X2078 @ ( own_Product_unit @ X2080 ) ) ) ) @ ( lan_Product_unit @ X2080 ) @ ( own_Product_unit @ X2080 ) @ product_Unity ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_7_traffic_Omove__def])]) ).
thf(c_0_9,plain,
! [X5: traffic,X1: cars,X3: traffic] :
( ( ( pos @ X3 )
= ( pos @ X5 ) )
| ~ ( create_reservation @ X5 @ X1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_10,plain,
create_reservation @ ts_a @ esk1_0 @ ts,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_11,negated_conjecture,
( ( move @ ts3 @ ts_a @ v )
!= ( move @ ts3 @ ts @ v ) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
thf(c_0_12,plain,
! [X2201: traffic,X2202: traffic,X2203: view_e774982825t_unit] :
( ( move @ X2201 @ X2202 @ X2203 )
= ( view_e912666823t_unit @ ( real_shift @ ( ext_Product_unit @ X2203 ) @ ( minus_minus_real @ ( pos @ X2202 @ ( own_Product_unit @ X2203 ) ) @ ( pos @ X2201 @ ( own_Product_unit @ X2203 ) ) ) ) @ ( lan_Product_unit @ X2203 ) @ ( own_Product_unit @ X2203 ) @ product_Unity ) ),
inference(variable_rename,[status(thm)],[c_0_8]) ).
thf(c_0_13,plain,
( ( pos @ ts )
= ( pos @ ts_a ) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_14,negated_conjecture,
( ( move @ ts3 @ ts_a @ v )
!= ( move @ ts3 @ ts @ v ) ),
inference(fof_nnf,[status(thm)],[c_0_11]) ).
thf(c_0_15,plain,
! [X3: traffic,X5: traffic,X4: view_e774982825t_unit] :
( ( move @ X3 @ X5 @ X4 )
= ( view_e912666823t_unit @ ( real_shift @ ( ext_Product_unit @ X4 ) @ ( minus_minus_real @ ( pos @ X5 @ ( own_Product_unit @ X4 ) ) @ ( pos @ X3 @ ( own_Product_unit @ X4 ) ) ) ) @ ( lan_Product_unit @ X4 ) @ ( own_Product_unit @ X4 ) @ product_Unity ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_16,plain,
! [X1: cars] :
( ( pos @ ts @ X1 )
= ( pos @ ts_a @ X1 ) ),
inference(arg_cong,[status(thm)],[c_0_13]) ).
thf(c_0_17,negated_conjecture,
( ( move @ ts3 @ ts_a @ v )
!= ( move @ ts3 @ ts @ v ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_18,plain,
! [X3: traffic,X4: view_e774982825t_unit] :
( ( move @ X3 @ ts @ X4 )
= ( move @ X3 @ ts_a @ X4 ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_15]) ).
thf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP168^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n014.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 20:04:44 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.21/0.30 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.rfPmVVJdSq/E---3.1_3146069.p
% 6.78/1.41 % Version: 3.5.1-ho
% 6.78/1.41 % Preprocessing class: HSLSSMSMSSSNHFA.
% 6.78/1.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.78/1.41 % Starting new_ho_10 with 1500s (5) cores
% 6.78/1.41 % Starting new_ho_10_cnf2 with 300s (1) cores
% 6.78/1.41 % Starting full_lambda_6 with 300s (1) cores
% 6.78/1.41 % Starting full_lambda_9 with 300s (1) cores
% 6.78/1.41 % new_ho_10 with pid 3146082 completed with status 0
% 6.78/1.41 % Result found by new_ho_10
% 6.78/1.41 % Preprocessing class: HSLSSMSMSSSNHFA.
% 6.78/1.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.78/1.41 % Starting new_ho_10 with 1500s (5) cores
% 6.78/1.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.78/1.41 % No SInE strategy applied
% 6.78/1.41 % Search class: HGHSM-SMLM33-MHFFFMBN
% 6.78/1.41 % partial match(1): HGHSM-SMLM32-MHFFFMBN
% 6.78/1.41 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 6.78/1.41 % Starting SubtermCWHack with 151s (1) cores
% 6.78/1.41 % Starting new_ho_10 with 901s (1) cores
% 6.78/1.41 % Starting full_lambda_7 with 151s (1) cores
% 6.78/1.41 % Starting new_ho_11 with 151s (1) cores
% 6.78/1.41 % Starting new_ho_10_cnf2 with 146s (1) cores
% 6.78/1.41 % new_ho_10 with pid 3146088 completed with status 0
% 6.78/1.41 % Result found by new_ho_10
% 6.78/1.41 % Preprocessing class: HSLSSMSMSSSNHFA.
% 6.78/1.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.78/1.41 % Starting new_ho_10 with 1500s (5) cores
% 6.78/1.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.78/1.41 % No SInE strategy applied
% 6.78/1.41 % Search class: HGHSM-SMLM33-MHFFFMBN
% 6.78/1.41 % partial match(1): HGHSM-SMLM32-MHFFFMBN
% 6.78/1.41 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 6.78/1.41 % Starting SubtermCWHack with 151s (1) cores
% 6.78/1.41 % Starting new_ho_10 with 901s (1) cores
% 6.78/1.41 % Preprocessing time : 0.036 s
% 6.78/1.41 % Presaturation interreduction done
% 6.78/1.41
% 6.78/1.41 % Proof found!
% 6.78/1.41 % SZS status Theorem
% 6.78/1.41 % SZS output start CNFRefutation
% See solution above
% 6.78/1.41 % Parsed axioms : 447
% 6.78/1.41 % Removed by relevancy pruning/SinE : 0
% 6.78/1.41 % Initial clauses : 2010
% 6.78/1.41 % Removed in clause preprocessing : 117
% 6.78/1.41 % Initial clauses in saturation : 1893
% 6.78/1.41 % Processed clauses : 2222
% 6.78/1.41 % ...of these trivial : 17
% 6.78/1.41 % ...subsumed : 184
% 6.78/1.41 % ...remaining for further processing : 2021
% 6.78/1.41 % Other redundant clauses eliminated : 120
% 6.78/1.41 % Clauses deleted for lack of memory : 0
% 6.78/1.41 % Backward-subsumed : 2
% 6.78/1.41 % Backward-rewritten : 16
% 6.78/1.41 % Generated clauses : 601
% 6.78/1.41 % ...of the previous two non-redundant : 497
% 6.78/1.41 % ...aggressively subsumed : 0
% 6.78/1.41 % Contextual simplify-reflections : 19
% 6.78/1.41 % Paramodulations : 405
% 6.78/1.41 % Factorizations : 2
% 6.78/1.41 % NegExts : 8
% 6.78/1.41 % Equation resolutions : 122
% 6.78/1.41 % Disequality decompositions : 0
% 6.78/1.41 % Total rewrite steps : 325
% 6.78/1.41 % ...of those cached : 218
% 6.78/1.41 % Propositional unsat checks : 0
% 6.78/1.41 % Propositional check models : 0
% 6.78/1.41 % Propositional check unsatisfiable : 0
% 6.78/1.41 % Propositional clauses : 0
% 6.78/1.41 % Propositional clauses after purity: 0
% 6.78/1.41 % Propositional unsat core size : 0
% 6.78/1.41 % Propositional preprocessing time : 0.000
% 6.78/1.41 % Propositional encoding time : 0.000
% 6.78/1.41 % Propositional solver time : 0.000
% 6.78/1.41 % Success case prop preproc time : 0.000
% 6.78/1.41 % Success case prop encoding time : 0.000
% 6.78/1.41 % Success case prop solver time : 0.000
% 6.78/1.41 % Current number of processed clauses : 223
% 6.78/1.41 % Positive orientable unit clauses : 94
% 6.78/1.41 % Positive unorientable unit clauses: 1
% 6.78/1.41 % Negative unit clauses : 8
% 6.78/1.41 % Non-unit-clauses : 120
% 6.78/1.41 % Current number of unprocessed clauses: 1826
% 6.78/1.41 % ...number of literals in the above : 10704
% 6.78/1.41 % Current number of archived formulas : 0
% 6.78/1.41 % Current number of archived clauses : 1687
% 6.78/1.41 % Clause-clause subsumption calls (NU) : 1481519
% 6.78/1.41 % Rec. Clause-clause subsumption calls : 48700
% 6.78/1.41 % Non-unit clause-clause subsumptions : 205
% 6.78/1.41 % Unit Clause-clause subsumption calls : 601
% 6.78/1.41 % Rewrite failures with RHS unbound : 0
% 6.78/1.41 % BW rewrite match attempts : 111
% 6.78/1.41 % BW rewrite match successes : 14
% 6.78/1.41 % Condensation attempts : 2222
% 6.78/1.41 % Condensation successes : 12
% 6.78/1.41 % Termbank termtop insertions : 496316
% 6.78/1.41 % Search garbage collected termcells : 30073
% 6.78/1.41
% 6.78/1.41 % -------------------------------------------------
% 6.78/1.41 % User time : 1.016 s
% 6.78/1.41 % System time : 0.030 s
% 6.78/1.41 % Total time : 1.046 s
% 6.78/1.41 % Maximum resident set size: 10440 pages
% 6.78/1.41
% 6.78/1.41 % -------------------------------------------------
% 6.78/1.41 % User time : 4.228 s
% 6.78/1.41 % System time : 0.133 s
% 6.78/1.41 % Total time : 4.361 s
% 6.78/1.41 % Maximum resident set size: 5888 pages
% 6.78/1.41 % E exiting
%------------------------------------------------------------------------------