TSTP Solution File: ITP207^3 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP207^3 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 22:16:50 EDT 2024
% Result : Theorem 2.92s 1.81s
% Output : CNFRefutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 23
% Syntax : Number of formulae : 34 ( 10 unt; 18 typ; 0 def)
% Number of atoms : 23 ( 10 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 77 ( 8 ~; 4 |; 0 &; 63 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 0 ^ 18 !; 0 ?; 18 :)
% 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_397,type,
one_one_nat: nat ).
thf(decl_501,type,
heap_Time_assert_a: ( a > $o ) > a > heap_Time_Heap_a ).
thf(decl_509,type,
heap_Time_execute_a: heap_Time_Heap_a > heap_e7401611519738050253t_unit > option3562590408128118217it_nat ).
thf(decl_519,type,
heap_Time_success_a: heap_Time_Heap_a > heap_e7401611519738050253t_unit > $o ).
thf(decl_714,type,
none_P2651198173097904984it_nat: option3562590408128118217it_nat ).
thf(decl_717,type,
some_P7913643980934408916it_nat: produc3260487557148687353it_nat > option3562590408128118217it_nat ).
thf(decl_838,type,
produc584006145561248582it_nat: heap_e7401611519738050253t_unit > nat > produc6653097349344004940it_nat ).
thf(decl_855,type,
produc9178034014595674355it_nat: a > produc6653097349344004940it_nat > produc3260487557148687353it_nat ).
thf(decl_1217,type,
p: a > $o ).
thf(decl_1218,type,
h: heap_e7401611519738050253t_unit ).
thf(decl_1219,type,
x: a ).
thf(conj_1,conjecture,
heap_Time_success_a @ ( heap_Time_assert_a @ p @ x ) @ h,
file('/export/starexec/sandbox2/benchmark/theBenchmark.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/benchmark/theBenchmark.p',fact_10_successI) ).
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/benchmark/theBenchmark.p',fact_350_execute__assert_I1_J) ).
thf(fact_76_option_Odistinct_I1_J,axiom,
! [X165: produc3260487557148687353it_nat] :
( none_P2651198173097904984it_nat
!= ( some_P7913643980934408916it_nat @ X165 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_option_Odistinct_I1_J) ).
thf(conj_0,hypothesis,
p @ x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(c_0_5,negated_conjecture,
~ ( heap_Time_success_a @ ( heap_Time_assert_a @ p @ x ) @ h ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])]) ).
thf(c_0_6,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)],[fact_10_successI])]) ).
thf(c_0_7,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(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_350_execute__assert_I1_J])]) ).
thf(c_0_8,negated_conjecture,
~ ( heap_Time_success_a @ ( heap_Time_assert_a @ p @ x ) @ h ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,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_6]) ).
thf(c_0_10,plain,
! [X18259: produc3260487557148687353it_nat] :
( none_P2651198173097904984it_nat
!= ( some_P7913643980934408916it_nat @ X18259 ) ),
inference(variable_rename,[status(thm)],[fact_76_option_Odistinct_I1_J]) ).
thf(c_0_11,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_7]) ).
thf(c_0_12,negated_conjecture,
( ( heap_Time_execute_a @ ( heap_Time_assert_a @ p @ x ) @ h )
= none_P2651198173097904984it_nat ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_13,hypothesis,
p @ x,
inference(split_conjunct,[status(thm)],[conj_0]) ).
thf(c_0_14,plain,
! [X51: produc3260487557148687353it_nat] :
( none_P2651198173097904984it_nat
!= ( some_P7913643980934408916it_nat @ X51 ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_15,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),c_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : ITP207^3 : TPTP v8.2.0. Released v8.1.0.
% 0.10/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat May 18 18:05:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.50 Running higher-order theorem proving
% 0.21/0.50 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/benchmark/theBenchmark.p
% 2.92/1.81 # Version: 3.1.0-ho
% 2.92/1.81 # partial match(2): HMLMSMSMSSLCHSA
% 2.92/1.81 # Preprocessing class: HMLLSMLMSSLCHSA.
% 2.92/1.81 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.92/1.81 # Starting new_ho_10 with 1500s (5) cores
% 2.92/1.81 # Starting sh5l with 300s (1) cores
% 2.92/1.81 # Starting new_bool_1 with 300s (1) cores
% 2.92/1.81 # Starting new_bool_2 with 300s (1) cores
% 2.92/1.81 # new_bool_2 with pid 13436 completed with status 0
% 2.92/1.81 # Result found by new_bool_2
% 2.92/1.81 # partial match(2): HMLMSMSMSSLCHSA
% 2.92/1.81 # Preprocessing class: HMLLSMLMSSLCHSA.
% 2.92/1.81 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.92/1.81 # Starting new_ho_10 with 1500s (5) cores
% 2.92/1.81 # Starting sh5l with 300s (1) cores
% 2.92/1.81 # Starting new_bool_1 with 300s (1) cores
% 2.92/1.81 # Starting new_bool_2 with 300s (1) cores
% 2.92/1.81 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.92/1.81 # Search class: HGHSM-FSLM32-DHSFFSBN
% 2.92/1.81 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 2.92/1.81 # Starting full_lambda_3 with 139s (1) cores
% 2.92/1.81 # full_lambda_3 with pid 13438 completed with status 0
% 2.92/1.81 # Result found by full_lambda_3
% 2.92/1.81 # partial match(2): HMLMSMSMSSLCHSA
% 2.92/1.81 # Preprocessing class: HMLLSMLMSSLCHSA.
% 2.92/1.81 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.92/1.81 # Starting new_ho_10 with 1500s (5) cores
% 2.92/1.81 # Starting sh5l with 300s (1) cores
% 2.92/1.81 # Starting new_bool_1 with 300s (1) cores
% 2.92/1.81 # Starting new_bool_2 with 300s (1) cores
% 2.92/1.81 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.92/1.81 # Search class: HGHSM-FSLM32-DHSFFSBN
% 2.92/1.81 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 2.92/1.81 # Starting full_lambda_3 with 139s (1) cores
% 2.92/1.81 # Preprocessing time : 0.025 s
% 2.92/1.81
% 2.92/1.81 # Proof found!
% 2.92/1.81 # SZS status Theorem
% 2.92/1.81 # SZS output start CNFRefutation
% See solution above
% 2.92/1.81 # Parsed axioms : 9497
% 2.92/1.81 # Removed by relevancy pruning/SinE : 8925
% 2.92/1.81 # Initial clauses : 903
% 2.92/1.81 # Removed in clause preprocessing : 69
% 2.92/1.81 # Initial clauses in saturation : 834
% 2.92/1.81 # Processed clauses : 929
% 2.92/1.81 # ...of these trivial : 58
% 2.92/1.81 # ...subsumed : 251
% 2.92/1.81 # ...remaining for further processing : 620
% 2.92/1.81 # Other redundant clauses eliminated : 471
% 2.92/1.81 # Clauses deleted for lack of memory : 0
% 2.92/1.81 # Backward-subsumed : 11
% 2.92/1.81 # Backward-rewritten : 15
% 2.92/1.81 # Generated clauses : 21906
% 2.92/1.81 # ...of the previous two non-redundant : 19925
% 2.92/1.81 # ...aggressively subsumed : 0
% 2.92/1.81 # Contextual simplify-reflections : 3
% 2.92/1.81 # Paramodulations : 21167
% 2.92/1.81 # Factorizations : 68
% 2.92/1.81 # NegExts : 0
% 2.92/1.81 # Equation resolutions : 482
% 2.92/1.81 # Disequality decompositions : 0
% 2.92/1.81 # Total rewrite steps : 7164
% 2.92/1.81 # ...of those cached : 5939
% 2.92/1.81 # Propositional unsat checks : 0
% 2.92/1.81 # Propositional check models : 0
% 2.92/1.81 # Propositional check unsatisfiable : 0
% 2.92/1.81 # Propositional clauses : 0
% 2.92/1.81 # Propositional clauses after purity: 0
% 2.92/1.81 # Propositional unsat core size : 0
% 2.92/1.81 # Propositional preprocessing time : 0.000
% 2.92/1.81 # Propositional encoding time : 0.000
% 2.92/1.81 # Propositional solver time : 0.000
% 2.92/1.81 # Success case prop preproc time : 0.000
% 2.92/1.81 # Success case prop encoding time : 0.000
% 2.92/1.81 # Success case prop solver time : 0.000
% 2.92/1.81 # Current number of processed clauses : 501
% 2.92/1.81 # Positive orientable unit clauses : 81
% 2.92/1.81 # Positive unorientable unit clauses: 9
% 2.92/1.81 # Negative unit clauses : 17
% 2.92/1.81 # Non-unit-clauses : 394
% 2.92/1.81 # Current number of unprocessed clauses: 19821
% 2.92/1.81 # ...number of literals in the above : 64617
% 2.92/1.81 # Current number of archived formulas : 0
% 2.92/1.81 # Current number of archived clauses : 26
% 2.92/1.81 # Clause-clause subsumption calls (NU) : 32078
% 2.92/1.81 # Rec. Clause-clause subsumption calls : 23856
% 2.92/1.81 # Non-unit clause-clause subsumptions : 164
% 2.92/1.81 # Unit Clause-clause subsumption calls : 889
% 2.92/1.81 # Rewrite failures with RHS unbound : 0
% 2.92/1.81 # BW rewrite match attempts : 152
% 2.92/1.81 # BW rewrite match successes : 40
% 2.92/1.81 # Condensation attempts : 929
% 2.92/1.81 # Condensation successes : 0
% 2.92/1.81 # Termbank termtop insertions : 1060747
% 2.92/1.81 # Search garbage collected termcells : 94118
% 2.92/1.81
% 2.92/1.81 # -------------------------------------------------
% 2.92/1.81 # User time : 0.617 s
% 2.92/1.81 # System time : 0.058 s
% 2.92/1.81 # Total time : 0.675 s
% 2.92/1.81 # Maximum resident set size: 26304 pages
% 2.92/1.81
% 2.92/1.81 # -------------------------------------------------
% 2.92/1.81 # User time : 1.209 s
% 2.92/1.81 # System time : 0.085 s
% 2.92/1.81 # Total time : 1.294 s
% 2.92/1.81 # Maximum resident set size: 22452 pages
% 2.92/1.81 % E---3.1 exiting
% 2.92/1.82 % E exiting
%------------------------------------------------------------------------------