%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP207^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 08:04:41 AM UTC 2026
% Result : Theorem 6.58s 5.69s
% Output : CNFRefutation 6.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 30 ( 12 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 95 ( 12 ~; 4 |; 0 &; 76 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 0 ^; 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_sort2,type,
heap_e7401611519738050253t_unit: $tType ).
thf(decl_sort3,type,
produc3260487557148687353it_nat: $tType ).
thf(decl_sort4,type,
option3562590408128118217it_nat: $tType ).
thf(decl_sort5,type,
heap_Time_Heap_a: $tType ).
thf(decl_sort6,type,
a: $tType ).
thf(decl_sort7,type,
produc6653097349344004940it_nat: $tType ).
thf(decl_398,type,
one_one_nat: nat ).
thf(decl_502,type,
heap_Time_assert_a: ( a > $o ) > a > heap_Time_Heap_a ).
thf(decl_510,type,
heap_Time_execute_a: heap_Time_Heap_a > heap_e7401611519738050253t_unit > option3562590408128118217it_nat ).
thf(decl_520,type,
heap_Time_success_a: heap_Time_Heap_a > heap_e7401611519738050253t_unit > $o ).
thf(decl_715,type,
none_P2651198173097904984it_nat: option3562590408128118217it_nat ).
thf(decl_718,type,
some_P7913643980934408916it_nat: produc3260487557148687353it_nat > option3562590408128118217it_nat ).
thf(decl_839,type,
produc584006145561248582it_nat: heap_e7401611519738050253t_unit > nat > produc6653097349344004940it_nat ).
thf(decl_856,type,
produc9178034014595674355it_nat: a > produc6653097349344004940it_nat > produc3260487557148687353it_nat ).
thf(decl_1218,type,
p: a > $o ).
thf(decl_1219,type,
h: heap_e7401611519738050253t_unit ).
thf(decl_1220,type,
x: a ).
thf(conj_1,conjecture,
heap_Time_success_a @ ( heap_Time_assert_a @ p @ x ) @ h,
file('/export/starexec/sandbox2/tmp/tmp.QCUypuZCgU/E---3.1_581025.p',conj_1) ).
thf(fact_10_successI,axiom,
! [X21: heap_Time_Heap_a,X3: heap_e7401611519738050253t_unit] :
( ( ( heap_Time_execute_a @ X21 @ X3 )
!= none_P2651198173097904984it_nat )
=> ( heap_Time_success_a @ X21 @ X3 ) ),
file('/export/starexec/sandbox2/tmp/tmp.QCUypuZCgU/E---3.1_581025.p',fact_10_successI) ).
thf(fact_76_option_Odistinct_I1_J,axiom,
! [X165: produc3260487557148687353it_nat] :
( none_P2651198173097904984it_nat
!= ( some_P7913643980934408916it_nat @ X165 ) ),
file('/export/starexec/sandbox2/tmp/tmp.QCUypuZCgU/E---3.1_581025.p',fact_76_option_Odistinct_I1_J) ).
thf(fact_350_execute__assert_I1_J,axiom,
! [X909: a > $o,X8: a,X3: heap_e7401611519738050253t_unit] :
( ( X909 @ X8 )
=> ( ( heap_Time_execute_a @ ( heap_Time_assert_a @ X909 @ X8 ) @ X3 )
= ( some_P7913643980934408916it_nat @ ( produc9178034014595674355it_nat @ X8 @ ( produc584006145561248582it_nat @ X3 @ one_one_nat ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.QCUypuZCgU/E---3.1_581025.p',fact_350_execute__assert_I1_J) ).
thf(conj_0,hypothesis,
p @ x,
file('/export/starexec/sandbox2/tmp/tmp.QCUypuZCgU/E---3.1_581025.p',conj_0) ).
thf(c_0_5,negated_conjecture,
~ ( heap_Time_success_a @ ( heap_Time_assert_a @ p @ x ) @ h ),
inference(assume_negation,[status(cth)],[conj_1]) ).
thf(c_0_6,negated_conjecture,
~ ( heap_Time_success_a @ ( heap_Time_assert_a @ p @ x ) @ h ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
thf(c_0_7,plain,
! [X21: heap_Time_Heap_a,X3: heap_e7401611519738050253t_unit] :
( ( ( heap_Time_execute_a @ X21 @ X3 )
!= none_P2651198173097904984it_nat )
=> ( heap_Time_success_a @ X21 @ X3 ) ),
inference(fof_simplification,[status(thm)],[fact_10_successI]) ).
thf(c_0_8,negated_conjecture,
~ ( heap_Time_success_a @ ( heap_Time_assert_a @ p @ x ) @ h ),
inference(fof_nnf,[status(thm)],[c_0_6]) ).
thf(c_0_9,plain,
! [X18148: heap_Time_Heap_a,X18149: heap_e7401611519738050253t_unit] :
( ( ( heap_Time_execute_a @ X18148 @ X18149 )
= none_P2651198173097904984it_nat )
| ( heap_Time_success_a @ X18148 @ X18149 ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).
thf(c_0_10,plain,
! [X165: produc3260487557148687353it_nat] :
( none_P2651198173097904984it_nat
!= ( some_P7913643980934408916it_nat @ X165 ) ),
inference(fof_simplification,[status(thm)],[fact_76_option_Odistinct_I1_J]) ).
thf(c_0_11,negated_conjecture,
~ ( heap_Time_success_a @ ( heap_Time_assert_a @ p @ x ) @ h ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_12,plain,
! [X2: heap_Time_Heap_a,X3: heap_e7401611519738050253t_unit] :
( ( ( heap_Time_execute_a @ X2 @ X3 )
= none_P2651198173097904984it_nat )
| ( heap_Time_success_a @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_13,plain,
! [X18163: a > $o,X18164: a,X18165: heap_e7401611519738050253t_unit] :
( ~ ( X18163 @ X18164 )
| ( ( heap_Time_execute_a @ ( heap_Time_assert_a @ X18163 @ X18164 ) @ X18165 )
= ( some_P7913643980934408916it_nat @ ( produc9178034014595674355it_nat @ X18164 @ ( produc584006145561248582it_nat @ X18165 @ one_one_nat ) ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_350_execute__assert_I1_J])])]) ).
thf(c_0_14,plain,
! [X18259: produc3260487557148687353it_nat] :
( none_P2651198173097904984it_nat
!= ( some_P7913643980934408916it_nat @ X18259 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_10])]) ).
thf(c_0_15,negated_conjecture,
( ( heap_Time_execute_a @ ( heap_Time_assert_a @ p @ x ) @ h )
= none_P2651198173097904984it_nat ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
thf(c_0_16,plain,
! [X3: heap_e7401611519738050253t_unit,X18: a > $o,X8: a] :
( ( ( heap_Time_execute_a @ ( heap_Time_assert_a @ X18 @ X8 ) @ X3 )
= ( some_P7913643980934408916it_nat @ ( produc9178034014595674355it_nat @ X8 @ ( produc584006145561248582it_nat @ X3 @ one_one_nat ) ) ) )
| ~ ( X18 @ X8 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_17,hypothesis,
p @ x,
inference(split_conjunct,[status(thm)],[conj_0]) ).
thf(c_0_18,plain,
! [X51: produc3260487557148687353it_nat] :
( none_P2651198173097904984it_nat
!= ( some_P7913643980934408916it_nat @ X51 ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP207^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n011.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 20:13:27 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 3.87/3.91 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.QCUypuZCgU/E---3.1_581025.p
% 6.58/5.69 % Version: 3.5.1-ho
% 6.58/5.69 % partial match(2): HMLMSMSMSSLCHSA
% 6.58/5.69 % Preprocessing class: HMLLSMLMSSLCHSA.
% 6.58/5.69 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 6.58/5.69 % Starting new_ho_10 with 1495s (5) cores
% 6.58/5.69 % Starting sh5l with 299s (1) cores
% 6.58/5.69 % Starting new_bool_1 with 299s (1) cores
% 6.58/5.69 % Starting new_bool_2 with 299s (1) cores
% 6.58/5.69 % new_bool_1 with pid 581368 completed with status 0
% 6.58/5.69 % Result found by new_bool_1
% 6.58/5.69 % partial match(2): HMLMSMSMSSLCHSA
% 6.58/5.69 % Preprocessing class: HMLLSMLMSSLCHSA.
% 6.58/5.69 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 6.58/5.69 % Starting new_ho_10 with 1495s (5) cores
% 6.58/5.69 % Starting sh5l with 299s (1) cores
% 6.58/5.69 % Starting new_bool_1 with 299s (1) cores
% 6.58/5.69 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 6.58/5.69 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 6.58/5.69 % Search class: HGHSM-FSLM32-DHSFFSBN
% 6.58/5.69 % Scheduled 7 strats onto 1 cores with 299 seconds (299 total)
% 6.58/5.69 % Starting SubtermCWHack with 27s (1) cores
% 6.58/5.69 % SubtermCWHack with pid 581370 completed with status 0
% 6.58/5.69 % Result found by SubtermCWHack
% 6.58/5.69 % partial match(2): HMLMSMSMSSLCHSA
% 6.58/5.69 % Preprocessing class: HMLLSMLMSSLCHSA.
% 6.58/5.69 % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 6.58/5.69 % Starting new_ho_10 with 1495s (5) cores
% 6.58/5.69 % Starting sh5l with 299s (1) cores
% 6.58/5.69 % Starting new_bool_1 with 299s (1) cores
% 6.58/5.69 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 6.58/5.69 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 6.58/5.69 % Search class: HGHSM-FSLM32-DHSFFSBN
% 6.58/5.69 % Scheduled 7 strats onto 1 cores with 299 seconds (299 total)
% 6.58/5.69 % Starting SubtermCWHack with 27s (1) cores
% 6.58/5.69 % Preprocessing time : 0.028 s
% 6.58/5.69
% 6.58/5.69 % Proof found!
% 6.58/5.69 % SZS status Theorem
% 6.58/5.69 % SZS output start CNFRefutation
% See solution above
% 6.58/5.69 % Parsed axioms : 9497
% 6.58/5.69 % Removed by relevancy pruning/SinE : 8925
% 6.58/5.69 % Initial clauses : 903
% 6.58/5.69 % Removed in clause preprocessing : 69
% 6.58/5.69 % Initial clauses in saturation : 834
% 6.58/5.69 % Processed clauses : 4862
% 6.58/5.69 % ...of these trivial : 423
% 6.58/5.69 % ...subsumed : 3393
% 6.58/5.69 % ...remaining for further processing : 1046
% 6.58/5.69 % Other redundant clauses eliminated : 387
% 6.58/5.69 % Clauses deleted for lack of memory : 0
% 6.58/5.69 % Backward-subsumed : 67
% 6.58/5.69 % Backward-rewritten : 84
% 6.58/5.69 % Generated clauses : 29407
% 6.58/5.69 % ...of the previous two non-redundant : 23896
% 6.58/5.69 % ...aggressively subsumed : 0
% 6.58/5.69 % Contextual simplify-reflections : 3
% 6.58/5.69 % Paramodulations : 28986
% 6.58/5.69 % Factorizations : 8
% 6.58/5.69 % NegExts : 0
% 6.58/5.69 % Equation resolutions : 398
% 6.58/5.69 % Disequality decompositions : 0
% 6.58/5.69 % Total rewrite steps : 10072
% 6.58/5.69 % ...of those cached : 8860
% 6.58/5.69 % Propositional unsat checks : 0
% 6.58/5.69 % Propositional check models : 0
% 6.58/5.69 % Propositional check unsatisfiable : 0
% 6.58/5.69 % Propositional clauses : 0
% 6.58/5.69 % Propositional clauses after purity: 0
% 6.58/5.69 % Propositional unsat core size : 0
% 6.58/5.69 % Propositional preprocessing time : 0.000
% 6.58/5.69 % Propositional encoding time : 0.000
% 6.58/5.69 % Propositional solver time : 0.000
% 6.58/5.69 % Success case prop preproc time : 0.000
% 6.58/5.69 % Success case prop encoding time : 0.000
% 6.58/5.69 % Success case prop solver time : 0.000
% 6.58/5.69 % Current number of processed clauses : 806
% 6.58/5.69 % Positive orientable unit clauses : 209
% 6.58/5.69 % Positive unorientable unit clauses: 9
% 6.58/5.69 % Negative unit clauses : 115
% 6.58/5.69 % Non-unit-clauses : 473
% 6.58/5.69 % Current number of unprocessed clauses: 19562
% 6.58/5.69 % ...number of literals in the above : 48347
% 6.58/5.69 % Current number of archived formulas : 0
% 6.58/5.69 % Current number of archived clauses : 153
% 6.58/5.69 % Clause-clause subsumption calls (NU) : 53343
% 6.58/5.69 % Rec. Clause-clause subsumption calls : 47144
% 6.58/5.69 % Non-unit clause-clause subsumptions : 1297
% 6.58/5.69 % Unit Clause-clause subsumption calls : 6131
% 6.58/5.69 % Rewrite failures with RHS unbound : 0
% 6.58/5.69 % BW rewrite match attempts : 371
% 6.58/5.69 % BW rewrite match successes : 150
% 6.58/5.69 % Condensation attempts : 0
% 6.58/5.69 % Condensation successes : 0
% 6.58/5.69 % Termbank termtop insertions : 485681
% 6.58/5.69 % Search garbage collected termcells : 98111
% 6.58/5.69
% 6.58/5.69 % -------------------------------------------------
% 6.58/5.69 % User time : 0.665 s
% 6.58/5.69 % System time : 0.055 s
% 6.58/5.69 % Total time : 0.720 s
% 6.58/5.69 % Maximum resident set size: 28672 pages
% 6.58/5.69
% 6.58/5.69 % -------------------------------------------------
% 6.58/5.69 % User time : 1.651 s
% 6.58/5.69 % System time : 0.098 s
% 6.58/5.69 % Total time : 1.749 s
% 6.58/5.69 % Maximum resident set size: 25856 pages
% 6.58/5.69 % E exiting
%------------------------------------------------------------------------------