%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP270^3 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 08:05:00 AM UTC 2026
% Result : Theorem 16.13s 7.93s
% Output : CNFRefutation 16.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 80 ( 8 ~; 5 |; 1 &; 64 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 10 ( 0 ^; 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
num: $tType ).
thf(decl_sort2,type,
nat: $tType ).
thf(decl_630,type,
bit0: num > num ).
thf(decl_632,type,
one: num ).
thf(decl_640,type,
numeral_numeral_nat: num > nat ).
thf(decl_680,type,
ord_less_nat: nat > nat > $o ).
thf(decl_695,type,
ord_less_eq_nat: nat > nat > $o ).
thf(decl_743,type,
power_power_nat: nat > nat > nat ).
thf(decl_1088,type,
deg: nat ).
thf(decl_1090,type,
ma: nat ).
thf(decl_1091,type,
mi: nat ).
thf(decl_1095,type,
x: nat ).
thf(fact_608_dual__order_Ostrict__trans2,axiom,
! [X1346: nat,X1347: nat,X1348: nat] :
( ( ord_less_nat @ X1346 @ X1347 )
=> ( ( ord_less_eq_nat @ X1348 @ X1346 )
=> ( ord_less_nat @ X1348 @ X1347 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.OfiaFgY6Dh/E---3.1_1817195.p',fact_608_dual__order_Ostrict__trans2) ).
thf(conj_0,conjecture,
ord_less_nat @ x @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg ),
file('/export/starexec/sandbox/tmp/tmp.OfiaFgY6Dh/E---3.1_1817195.p',conj_0) ).
thf(fact_24__092_060open_062x_A_092_060le_062_Ama_A_092_060and_062_Ami_A_092_060le_062_Ax_092_060close_062,axiom,
( ( ord_less_eq_nat @ x @ ma )
& ( ord_less_eq_nat @ mi @ x ) ),
file('/export/starexec/sandbox/tmp/tmp.OfiaFgY6Dh/E---3.1_1817195.p',fact_24__092_060open_062x_A_092_060le_062_Ama_A_092_060and_062_Ami_A_092_060le_062_Ax_092_060close_062) ).
thf(fact_1__C5_Ohyps_C_I8_J,axiom,
ord_less_nat @ ma @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg ),
file('/export/starexec/sandbox/tmp/tmp.OfiaFgY6Dh/E---3.1_1817195.p',fact_1__C5_Ohyps_C_I8_J) ).
thf(c_0_4,plain,
! [X27082: nat,X27083: nat,X27084: nat] :
( ~ ( ord_less_nat @ X27082 @ X27083 )
| ~ ( ord_less_eq_nat @ X27084 @ X27082 )
| ( ord_less_nat @ X27084 @ X27083 ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_608_dual__order_Ostrict__trans2])]) ).
thf(c_0_5,negated_conjecture,
~ ( ord_less_nat @ x @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_6,plain,
! [X18: nat,X17: nat,X1: nat] :
( ( ord_less_nat @ X18 @ X17 )
| ~ ( ord_less_nat @ X1 @ X17 )
| ~ ( ord_less_eq_nat @ X18 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
ord_less_eq_nat @ x @ ma,
inference(split_conjunct,[status(thm)],[fact_24__092_060open_062x_A_092_060le_062_Ama_A_092_060and_062_Ami_A_092_060le_062_Ax_092_060close_062]) ).
thf(c_0_8,negated_conjecture,
~ ( ord_less_nat @ x @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg ) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
! [X1: nat] :
( ( ord_less_nat @ x @ X1 )
| ~ ( ord_less_nat @ ma @ X1 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_10,plain,
ord_less_nat @ ma @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg ),
inference(split_conjunct,[status(thm)],[fact_1__C5_Ohyps_C_I8_J]) ).
thf(c_0_11,negated_conjecture,
~ ( ord_less_nat @ x @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_12,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP270^3 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n004.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Sep 29 20:48:56 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running higher-order theorem proving
% 1.96/2.12 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/tmp/tmp.OfiaFgY6Dh/E---3.1_1817195.p
% 16.13/7.93 % Version: 3.5.1-ho
% 16.13/7.93 % partial match(2): HMLMSMSMSSLCHFA
% 16.13/7.93 % Preprocessing class: HMLLSMLMSSLCHFA.
% 16.13/7.93 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 16.13/7.93 % Starting new_ho_10 with 1495s (5) cores
% 16.13/7.93 % Starting sh5l with 299s (1) cores
% 16.13/7.93 % Starting new_bool_1 with 299s (1) cores
% 16.13/7.93 % Starting new_bool_2 with 299s (1) cores
% 16.13/7.93 % new_bool_2 with pid 1817216 completed with status 0
% 16.13/7.93 % Result found by new_bool_2
% 16.13/7.93 % partial match(2): HMLMSMSMSSLCHFA
% 16.13/7.93 % Preprocessing class: HMLLSMLMSSLCHFA.
% 16.13/7.93 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 16.13/7.93 % Starting new_ho_10 with 1495s (5) cores
% 16.13/7.93 % Starting sh5l with 299s (1) cores
% 16.13/7.93 % Starting new_bool_1 with 299s (1) cores
% 16.13/7.93 % Starting new_bool_2 with 299s (1) cores
% 16.13/7.93 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 16.13/7.93 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 16.13/7.93 % Search class: HGHSM-SMLM32-DHFFFSBN
% 16.13/7.93 % Scheduled 5 strats onto 1 cores with 298 seconds (298 total)
% 16.13/7.93 % Starting SubtermCWHack with 30s (1) cores
% 16.13/7.93 % SubtermCWHack with pid 1817217 completed with status 0
% 16.13/7.93 % Result found by SubtermCWHack
% 16.13/7.93 % partial match(2): HMLMSMSMSSLCHFA
% 16.13/7.93 % Preprocessing class: HMLLSMLMSSLCHFA.
% 16.13/7.93 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 16.13/7.93 % Starting new_ho_10 with 1495s (5) cores
% 16.13/7.93 % Starting sh5l with 299s (1) cores
% 16.13/7.93 % Starting new_bool_1 with 299s (1) cores
% 16.13/7.93 % Starting new_bool_2 with 299s (1) cores
% 16.13/7.93 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 16.13/7.93 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 16.13/7.93 % Search class: HGHSM-SMLM32-DHFFFSBN
% 16.13/7.93 % Scheduled 5 strats onto 1 cores with 298 seconds (298 total)
% 16.13/7.93 % Starting SubtermCWHack with 30s (1) cores
% 16.13/7.93 % Preprocessing time : 0.131 s
% 16.13/7.93
% 16.13/7.93 % Proof found!
% 16.13/7.93 % SZS status Theorem
% 16.13/7.93 % SZS output start CNFRefutation
% See solution above
% 16.13/7.93 % Parsed axioms : 11424
% 16.13/7.93 % Removed by relevancy pruning/SinE : 7988
% 16.13/7.93 % Initial clauses : 8989
% 16.13/7.93 % Removed in clause preprocessing : 1956
% 16.13/7.93 % Initial clauses in saturation : 7033
% 16.13/7.93 % Processed clauses : 15060
% 16.13/7.93 % ...of these trivial : 1002
% 16.13/7.93 % ...subsumed : 7939
% 16.13/7.93 % ...remaining for further processing : 6119
% 16.13/7.93 % Other redundant clauses eliminated : 779
% 16.13/7.93 % Clauses deleted for lack of memory : 0
% 16.13/7.93 % Backward-subsumed : 140
% 16.13/7.93 % Backward-rewritten : 305
% 16.13/7.93 % Generated clauses : 53455
% 16.13/7.93 % ...of the previous two non-redundant : 43040
% 16.13/7.93 % ...aggressively subsumed : 0
% 16.13/7.93 % Contextual simplify-reflections : 11
% 16.13/7.93 % Paramodulations : 52592
% 16.13/7.93 % Factorizations : 16
% 16.13/7.93 % NegExts : 0
% 16.13/7.93 % Equation resolutions : 815
% 16.13/7.93 % Disequality decompositions : 0
% 16.13/7.93 % Total rewrite steps : 16369
% 16.13/7.93 % ...of those cached : 12700
% 16.13/7.93 % Propositional unsat checks : 0
% 16.13/7.93 % Propositional check models : 0
% 16.13/7.93 % Propositional check unsatisfiable : 0
% 16.13/7.93 % Propositional clauses : 0
% 16.13/7.93 % Propositional clauses after purity: 0
% 16.13/7.93 % Propositional unsat core size : 0
% 16.13/7.93 % Propositional preprocessing time : 0.000
% 16.13/7.93 % Propositional encoding time : 0.000
% 16.13/7.93 % Propositional solver time : 0.000
% 16.13/7.93 % Success case prop preproc time : 0.000
% 16.13/7.93 % Success case prop encoding time : 0.000
% 16.13/7.93 % Success case prop solver time : 0.000
% 16.13/7.93 % Current number of processed clauses : 5218
% 16.13/7.93 % Positive orientable unit clauses : 2180
% 16.13/7.93 % Positive unorientable unit clauses: 23
% 16.13/7.93 % Negative unit clauses : 2107
% 16.13/7.93 % Non-unit-clauses : 908
% 16.13/7.93 % Current number of unprocessed clauses: 34569
% 16.13/7.93 % ...number of literals in the above : 74237
% 16.13/7.93 % Current number of archived formulas : 0
% 16.13/7.93 % Current number of archived clauses : 447
% 16.13/7.93 % Clause-clause subsumption calls (NU) : 218729
% 16.13/7.93 % Rec. Clause-clause subsumption calls : 193633
% 16.13/7.93 % Non-unit clause-clause subsumptions : 1169
% 16.13/7.93 % Unit Clause-clause subsumption calls : 1267503
% 16.13/7.93 % Rewrite failures with RHS unbound : 0
% 16.13/7.93 % BW rewrite match attempts : 6638
% 16.13/7.93 % BW rewrite match successes : 502
% 16.13/7.93 % Condensation attempts : 0
% 16.13/7.93 % Condensation successes : 0
% 16.13/7.93 % Termbank termtop insertions : 1159779
% 16.13/7.93 % Search garbage collected termcells : 187434
% 16.13/7.93
% 16.13/7.93 % -------------------------------------------------
% 16.13/7.93 % User time : 3.961 s
% 16.13/7.93 % System time : 0.178 s
% 16.13/7.93 % Total time : 4.139 s
% 16.13/7.93 % Maximum resident set size: 50196 pages
% 16.13/7.93
% 16.13/7.93 % -------------------------------------------------
% 16.13/7.93 % User time : 5.528 s
% 16.13/7.93 % System time : 0.233 s
% 16.13/7.93 % Total time : 5.762 s
% 16.13/7.93 % Maximum resident set size: 30464 pages
% 16.13/7.93 % E exiting
%------------------------------------------------------------------------------