%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP170^1 : 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 : n004.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 0.25s 0.39s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 33 ( 5 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 279 ( 13 ~; 8 |; 4 &; 253 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 6 con; 0-4 aty)
% Number of variables : 24 ( 0 ^; 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
real: $tType ).
thf(decl_sort2,type,
cars: $tType ).
thf(decl_sort3,type,
traffic: $tType ).
thf(decl_sort4,type,
view_e774982825t_unit: $tType ).
thf(decl_sort5,type,
real_int: $tType ).
thf(decl_25,type,
zero_zero_real: real ).
thf(decl_26,type,
len: ( cars > traffic > cars > real ) > view_e774982825t_unit > traffic > cars > real_int ).
thf(decl_29,type,
ord_less_real: real > real > $o ).
thf(decl_39,type,
left: real_int > real ).
thf(decl_41,type,
real_length: real_int > real ).
thf(decl_43,type,
right: real_int > real ).
thf(decl_44,type,
regular_regular: cars > traffic > cars > real ).
thf(decl_46,type,
space: ( cars > traffic > cars > real ) > traffic > view_e774982825t_unit > cars > real_int ).
thf(decl_49,type,
pos: traffic > cars > real ).
thf(decl_50,type,
ext_Product_unit: view_e774982825t_unit > real_int ).
thf(decl_53,type,
c: cars ).
thf(decl_55,type,
d: cars ).
thf(decl_61,type,
ts: traffic ).
thf(decl_63,type,
v: view_e774982825t_unit ).
thf(conj_0,conjecture,
( ( ord_less_real @ ( left @ ( space @ regular_regular @ ts @ v @ d ) ) @ ( right @ ( ext_Product_unit @ v ) ) )
& ( ord_less_real @ ( left @ ( ext_Product_unit @ v ) ) @ ( right @ ( space @ regular_regular @ ts @ v @ d ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.c7OTKlD3SA/E---3.1_1778747.p',conj_0) ).
thf(fact_10_hmlsl_Oleft__space,axiom,
! [X5: traffic,X7: view_e774982825t_unit,X6: cars] :
( ( left @ ( space @ regular_regular @ X5 @ X7 @ X6 ) )
= ( pos @ X5 @ X6 ) ),
file('/export/starexec/sandbox2/tmp/tmp.c7OTKlD3SA/E---3.1_1778747.p',fact_10_hmlsl_Oleft__space) ).
thf(fact_3_hmlsl_Olen__non__empty__inside,axiom,
! [X7: view_e774982825t_unit,X5: traffic,X6: cars] :
( ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ X7 @ X5 @ X6 ) ) )
=> ( ( ord_less_real @ ( left @ ( space @ regular_regular @ X5 @ X7 @ X6 ) ) @ ( right @ ( ext_Product_unit @ X7 ) ) )
& ( ord_less_real @ ( left @ ( ext_Product_unit @ X7 ) ) @ ( right @ ( space @ regular_regular @ X5 @ X7 @ X6 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.c7OTKlD3SA/E---3.1_1778747.p',fact_3_hmlsl_Olen__non__empty__inside) ).
thf(fact_4_v_H__d,axiom,
ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ v @ ts @ d ) ),
file('/export/starexec/sandbox2/tmp/tmp.c7OTKlD3SA/E---3.1_1778747.p',fact_4_v_H__d) ).
thf(fact_11_len__eq,axiom,
( ( len @ regular_regular @ v @ ts @ c )
= ( len @ regular_regular @ v @ ts @ d ) ),
file('/export/starexec/sandbox2/tmp/tmp.c7OTKlD3SA/E---3.1_1778747.p',fact_11_len__eq) ).
thf(c_0_5,negated_conjecture,
~ ( ( ord_less_real @ ( left @ ( space @ regular_regular @ ts @ v @ d ) ) @ ( right @ ( ext_Product_unit @ v ) ) )
& ( ord_less_real @ ( left @ ( ext_Product_unit @ v ) ) @ ( right @ ( space @ regular_regular @ ts @ v @ d ) ) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_6,negated_conjecture,
( ~ ( ord_less_real @ ( left @ ( space @ regular_regular @ ts @ v @ d ) ) @ ( right @ ( ext_Product_unit @ v ) ) )
| ~ ( ord_less_real @ ( left @ ( ext_Product_unit @ v ) ) @ ( right @ ( space @ regular_regular @ ts @ v @ d ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).
thf(c_0_7,plain,
! [X957: traffic,X958: view_e774982825t_unit,X959: cars] :
( ( left @ ( space @ regular_regular @ X957 @ X958 @ X959 ) )
= ( pos @ X957 @ X959 ) ),
inference(variable_rename,[status(thm)],[fact_10_hmlsl_Oleft__space]) ).
thf(c_0_8,negated_conjecture,
( ~ ( ord_less_real @ ( left @ ( space @ regular_regular @ ts @ v @ d ) ) @ ( right @ ( ext_Product_unit @ v ) ) )
| ~ ( ord_less_real @ ( left @ ( ext_Product_unit @ v ) ) @ ( right @ ( space @ regular_regular @ ts @ v @ d ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_9,plain,
! [X7: view_e774982825t_unit,X5: traffic,X2: cars] :
( ( left @ ( space @ regular_regular @ X5 @ X7 @ X2 ) )
= ( pos @ X5 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_10,plain,
! [X950: view_e774982825t_unit,X951: traffic,X952: cars] :
( ( ( ord_less_real @ ( left @ ( space @ regular_regular @ X951 @ X950 @ X952 ) ) @ ( right @ ( ext_Product_unit @ X950 ) ) )
| ~ ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ X950 @ X951 @ X952 ) ) ) )
& ( ( ord_less_real @ ( left @ ( ext_Product_unit @ X950 ) ) @ ( right @ ( space @ regular_regular @ X951 @ X950 @ X952 ) ) )
| ~ ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ X950 @ X951 @ X952 ) ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_3_hmlsl_Olen__non__empty__inside])])])]) ).
thf(c_0_11,plain,
ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ v @ ts @ d ) ),
inference(split_conjunct,[status(thm)],[fact_4_v_H__d]) ).
thf(c_0_12,plain,
( ( len @ regular_regular @ v @ ts @ c )
= ( len @ regular_regular @ v @ ts @ d ) ),
inference(split_conjunct,[status(thm)],[fact_11_len__eq]) ).
thf(c_0_13,negated_conjecture,
( ~ ( ord_less_real @ ( left @ ( ext_Product_unit @ v ) ) @ ( right @ ( space @ regular_regular @ ts @ v @ d ) ) )
| ~ ( ord_less_real @ ( pos @ ts @ d ) @ ( right @ ( ext_Product_unit @ v ) ) ) ),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_14,plain,
! [X7: view_e774982825t_unit,X5: traffic,X2: cars] :
( ( ord_less_real @ ( left @ ( ext_Product_unit @ X7 ) ) @ ( right @ ( space @ regular_regular @ X5 @ X7 @ X2 ) ) )
| ~ ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ X7 @ X5 @ X2 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_15,plain,
ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ v @ ts @ c ) ),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
thf(c_0_16,plain,
! [X7: view_e774982825t_unit,X5: traffic,X2: cars] :
( ( ord_less_real @ ( left @ ( space @ regular_regular @ X5 @ X7 @ X2 ) ) @ ( right @ ( ext_Product_unit @ X7 ) ) )
| ~ ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ X7 @ X5 @ X2 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_17,negated_conjecture,
~ ( ord_less_real @ ( pos @ ts @ d ) @ ( right @ ( ext_Product_unit @ v ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_12]),c_0_15])]) ).
thf(c_0_18,plain,
! [X7: view_e774982825t_unit,X5: traffic,X2: cars] :
( ( ord_less_real @ ( pos @ X5 @ X2 ) @ ( right @ ( ext_Product_unit @ X7 ) ) )
| ~ ( ord_less_real @ zero_zero_real @ ( real_length @ ( len @ regular_regular @ X7 @ X5 @ X2 ) ) ) ),
inference(rw,[status(thm)],[c_0_16,c_0_9]) ).
thf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_12]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP170^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n004.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 20:05:22 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.28 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.c7OTKlD3SA/E---3.1_1778747.p
% 0.25/0.39 % Version: 3.5.1-ho
% 0.25/0.39 % Preprocessing class: HSLSSMSMSSSNHSA.
% 0.25/0.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.39 % Starting new_ho_10 with 1500s (5) cores
% 0.25/0.39 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.25/0.39 % Starting lpo9_lambda_fix with 300s (1) cores
% 0.25/0.39 % Starting new_bool_1 with 300s (1) cores
% 0.25/0.39 % new_ho_10 with pid 1778772 completed with status 0
% 0.25/0.39 % Result found by new_ho_10
% 0.25/0.39 % Preprocessing class: HSLSSMSMSSSNHSA.
% 0.25/0.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.39 % Starting new_ho_10 with 1500s (5) cores
% 0.25/0.39 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.39 % No SInE strategy applied
% 0.25/0.39 % Search class: HGHSM-FSLM32-MHSFFSBN
% 0.25/0.39 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.39 % Starting SubtermCWHack with 151s (1) cores
% 0.25/0.39 % Starting new_ho_10 with 901s (1) cores
% 0.25/0.39 % Starting full_lambda_9 with 151s (1) cores
% 0.25/0.39 % Starting ehoh_best with 151s (1) cores
% 0.25/0.39 % Starting post_as_ho6 with 146s (1) cores
% 0.25/0.39 % new_ho_10 with pid 1778779 completed with status 0
% 0.25/0.39 % Result found by new_ho_10
% 0.25/0.39 % Preprocessing class: HSLSSMSMSSSNHSA.
% 0.25/0.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.39 % Starting new_ho_10 with 1500s (5) cores
% 0.25/0.39 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.39 % No SInE strategy applied
% 0.25/0.39 % Search class: HGHSM-FSLM32-MHSFFSBN
% 0.25/0.39 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.39 % Starting SubtermCWHack with 151s (1) cores
% 0.25/0.39 % Starting new_ho_10 with 901s (1) cores
% 0.25/0.39 % Preprocessing time : 0.005 s
% 0.25/0.39 % Presaturation interreduction done
% 0.25/0.39
% 0.25/0.39 % Proof found!
% 0.25/0.39 % SZS status Theorem
% 0.25/0.39 % SZS output start CNFRefutation
% See solution above
% 0.25/0.39 % Parsed axioms : 322
% 0.25/0.39 % Removed by relevancy pruning/SinE : 0
% 0.25/0.39 % Initial clauses : 540
% 0.25/0.39 % Removed in clause preprocessing : 74
% 0.25/0.39 % Initial clauses in saturation : 466
% 0.25/0.39 % Processed clauses : 697
% 0.25/0.39 % ...of these trivial : 15
% 0.25/0.39 % ...subsumed : 153
% 0.25/0.39 % ...remaining for further processing : 529
% 0.25/0.39 % Other redundant clauses eliminated : 41
% 0.25/0.39 % Clauses deleted for lack of memory : 0
% 0.25/0.39 % Backward-subsumed : 12
% 0.25/0.39 % Backward-rewritten : 10
% 0.25/0.39 % Generated clauses : 876
% 0.25/0.39 % ...of the previous two non-redundant : 633
% 0.25/0.39 % ...aggressively subsumed : 0
% 0.25/0.39 % Contextual simplify-reflections : 2
% 0.25/0.39 % Paramodulations : 833
% 0.25/0.39 % Factorizations : 4
% 0.25/0.39 % NegExts : 0
% 0.25/0.39 % Equation resolutions : 43
% 0.25/0.39 % Disequality decompositions : 0
% 0.25/0.39 % Total rewrite steps : 329
% 0.25/0.39 % ...of those cached : 256
% 0.25/0.39 % Propositional unsat checks : 0
% 0.25/0.39 % Propositional check models : 0
% 0.25/0.39 % Propositional check unsatisfiable : 0
% 0.25/0.39 % Propositional clauses : 0
% 0.25/0.39 % Propositional clauses after purity: 0
% 0.25/0.39 % Propositional unsat core size : 0
% 0.25/0.39 % Propositional preprocessing time : 0.000
% 0.25/0.39 % Propositional encoding time : 0.000
% 0.25/0.39 % Propositional solver time : 0.000
% 0.25/0.39 % Success case prop preproc time : 0.000
% 0.25/0.39 % Success case prop encoding time : 0.000
% 0.25/0.39 % Success case prop solver time : 0.000
% 0.25/0.39 % Current number of processed clauses : 171
% 0.25/0.39 % Positive orientable unit clauses : 63
% 0.25/0.39 % Positive unorientable unit clauses: 2
% 0.25/0.39 % Negative unit clauses : 9
% 0.25/0.39 % Non-unit-clauses : 97
% 0.25/0.39 % Current number of unprocessed clauses: 698
% 0.25/0.39 % ...number of literals in the above : 1784
% 0.25/0.39 % Current number of archived formulas : 0
% 0.25/0.39 % Current number of archived clauses : 321
% 0.25/0.39 % Clause-clause subsumption calls (NU) : 14996
% 0.25/0.39 % Rec. Clause-clause subsumption calls : 7299
% 0.25/0.39 % Non-unit clause-clause subsumptions : 157
% 0.25/0.39 % Unit Clause-clause subsumption calls : 366
% 0.25/0.39 % Rewrite failures with RHS unbound : 0
% 0.25/0.39 % BW rewrite match attempts : 61
% 0.25/0.39 % BW rewrite match successes : 38
% 0.25/0.39 % Condensation attempts : 697
% 0.25/0.39 % Condensation successes : 14
% 0.25/0.39 % Termbank termtop insertions : 53673
% 0.25/0.39 % Search garbage collected termcells : 8456
% 0.25/0.39
% 0.25/0.39 % -------------------------------------------------
% 0.25/0.39 % User time : 0.057 s
% 0.25/0.39 % System time : 0.013 s
% 0.25/0.39 % Total time : 0.070 s
% 0.25/0.39 % Maximum resident set size: 5908 pages
% 0.25/0.39
% 0.25/0.39 % -------------------------------------------------
% 0.25/0.39 % User time : 0.175 s
% 0.25/0.39 % System time : 0.040 s
% 0.25/0.39 % Total time : 0.216 s
% 0.25/0.39 % Maximum resident set size: 5376 pages
% 0.25/0.39 % E exiting
%------------------------------------------------------------------------------