TSTP Solution File: ITP208^3 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP208^3 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.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 : Sat May 4 08:07:21 EDT 2024
% Result : Theorem 9.12s 6.05s
% Output : CNFRefutation 9.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 21
% Syntax : Number of formulae : 46 ( 12 unt; 14 typ; 0 def)
% Number of atoms : 74 ( 38 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 248 ( 36 ~; 30 |; 0 &; 170 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 8 con; 0-5 aty)
% Number of variables : 98 ( 0 ^ 98 !; 0 ?; 98 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
heap_e7401611519738050253t_unit: $tType ).
thf(decl_sort2,type,
array_a: $tType ).
thf(decl_sort3,type,
heap_Time_Heap_nat: $tType ).
thf(decl_sort4,type,
nat: $tType ).
thf(decl_30,type,
array_len_a: array_a > heap_Time_Heap_nat ).
thf(decl_34,type,
array_length_a: heap_e7401611519738050253t_unit > array_a > nat ).
thf(decl_338,type,
one_one_nat: nat ).
thf(decl_407,type,
heap_Time_effect_nat: heap_Time_Heap_nat > heap_e7401611519738050253t_unit > heap_e7401611519738050253t_unit > nat > nat > $o ).
thf(decl_874,type,
a: array_a ).
thf(decl_875,type,
h: heap_e7401611519738050253t_unit ).
thf(decl_876,type,
h2: heap_e7401611519738050253t_unit ).
thf(decl_877,type,
n: nat ).
thf(decl_878,type,
r: nat ).
thf(decl_879,type,
thesis: $o ).
thf(fact_55_effect__deterministic_I2_J,axiom,
! [X12: heap_Time_Heap_nat,X2: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit,X17: nat,X5: nat,X14: heap_e7401611519738050253t_unit,X15: nat,X16: nat] :
( ( heap_Time_effect_nat @ X12 @ X2 @ X1 @ X17 @ X5 )
=> ( ( heap_Time_effect_nat @ X12 @ X2 @ X14 @ X15 @ X16 )
=> ( X1 = X14 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.EgTVo3aJib/E---3.1_31233.p',fact_55_effect__deterministic_I2_J) ).
thf(fact_2_effect__lengthI,axiom,
! [X1: heap_e7401611519738050253t_unit,X2: heap_e7401611519738050253t_unit,X3: nat,X4: array_a,X5: nat] :
( ( X1 = X2 )
=> ( ( X3
= ( array_length_a @ X2 @ X4 ) )
=> ( ( X5 = one_one_nat )
=> ( heap_Time_effect_nat @ ( array_len_a @ X4 ) @ X2 @ X1 @ X3 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.EgTVo3aJib/E---3.1_31233.p',fact_2_effect__lengthI) ).
thf(fact_0_assms,axiom,
heap_Time_effect_nat @ ( array_len_a @ a ) @ h @ h2 @ r @ n,
file('/export/starexec/sandbox2/tmp/tmp.EgTVo3aJib/E---3.1_31233.p',fact_0_assms) ).
thf(conj_1,conjecture,
thesis,
file('/export/starexec/sandbox2/tmp/tmp.EgTVo3aJib/E---3.1_31233.p',conj_1) ).
thf(fact_1_that,axiom,
( ( r
= ( array_length_a @ h2 @ a ) )
=> ( ( h2 = h )
=> ( ( n = one_one_nat )
=> thesis ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.EgTVo3aJib/E---3.1_31233.p',fact_1_that) ).
thf(fact_56_effect__deterministic_I1_J,axiom,
! [X12: heap_Time_Heap_nat,X2: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit,X18: nat,X5: nat,X14: heap_e7401611519738050253t_unit,X15: nat,X16: nat] :
( ( heap_Time_effect_nat @ X12 @ X2 @ X1 @ X18 @ X5 )
=> ( ( heap_Time_effect_nat @ X12 @ X2 @ X14 @ X15 @ X16 )
=> ( X18 = X15 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.EgTVo3aJib/E---3.1_31233.p',fact_56_effect__deterministic_I1_J) ).
thf(fact_54_effect__deterministic_I3_J,axiom,
! [X12: heap_Time_Heap_nat,X2: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit,X13: nat,X5: nat,X14: heap_e7401611519738050253t_unit,X15: nat,X16: nat] :
( ( heap_Time_effect_nat @ X12 @ X2 @ X1 @ X13 @ X5 )
=> ( ( heap_Time_effect_nat @ X12 @ X2 @ X14 @ X15 @ X16 )
=> ( X5 = X16 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.EgTVo3aJib/E---3.1_31233.p',fact_54_effect__deterministic_I3_J) ).
thf(c_0_7,plain,
! [X17525: heap_Time_Heap_nat,X17526: heap_e7401611519738050253t_unit,X17527: heap_e7401611519738050253t_unit,X17528: nat,X17529: nat,X17530: heap_e7401611519738050253t_unit,X17531: nat,X17532: nat] :
( ~ ( heap_Time_effect_nat @ X17525 @ X17526 @ X17527 @ X17528 @ X17529 )
| ~ ( heap_Time_effect_nat @ X17525 @ X17526 @ X17530 @ X17531 @ X17532 )
| ( X17527 = X17530 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_55_effect__deterministic_I2_J])])]) ).
thf(c_0_8,plain,
! [X16002: heap_e7401611519738050253t_unit,X16003: heap_e7401611519738050253t_unit,X16004: nat,X16005: array_a,X16006: nat] :
( ( X16002 != X16003 )
| ( X16004
!= ( array_length_a @ X16003 @ X16005 ) )
| ( X16006 != one_one_nat )
| ( heap_Time_effect_nat @ ( array_len_a @ X16005 ) @ X16003 @ X16002 @ X16004 @ X16006 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_2_effect__lengthI])])]) ).
thf(c_0_9,plain,
! [X3: nat,X2: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit,X5: nat,X6: nat,X14: heap_e7401611519738050253t_unit,X12: heap_Time_Heap_nat,X11: nat] :
( ( X2 = X14 )
| ~ ( heap_Time_effect_nat @ X12 @ X1 @ X2 @ X3 @ X5 )
| ~ ( heap_Time_effect_nat @ X12 @ X1 @ X14 @ X6 @ X11 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_10,plain,
heap_Time_effect_nat @ ( array_len_a @ a ) @ h @ h2 @ r @ n,
inference(split_conjunct,[status(thm)],[fact_0_assms]) ).
thf(c_0_11,plain,
! [X3: nat,X4: array_a,X2: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit,X5: nat] :
( ( heap_Time_effect_nat @ ( array_len_a @ X4 ) @ X2 @ X1 @ X3 @ X5 )
| ( X1 != X2 )
| ( X3
!= ( array_length_a @ X2 @ X4 ) )
| ( X5 != one_one_nat ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_12,negated_conjecture,
~ thesis,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])]) ).
thf(c_0_13,plain,
! [X3: nat,X1: heap_e7401611519738050253t_unit,X5: nat] :
( ( X1 = h2 )
| ~ ( heap_Time_effect_nat @ ( array_len_a @ a ) @ h @ X1 @ X3 @ X5 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_14,plain,
! [X1: heap_e7401611519738050253t_unit,X4: array_a] : ( heap_Time_effect_nat @ ( array_len_a @ X4 ) @ X1 @ X1 @ ( array_length_a @ X1 @ X4 ) @ one_one_nat ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_11])])]) ).
thf(c_0_15,plain,
( ( r
!= ( array_length_a @ h2 @ a ) )
| ( h2 != h )
| ( n != one_one_nat )
| thesis ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1_that])]) ).
thf(c_0_16,negated_conjecture,
~ thesis,
inference(fof_nnf,[status(thm)],[c_0_12]) ).
thf(c_0_17,plain,
! [X17533: heap_Time_Heap_nat,X17534: heap_e7401611519738050253t_unit,X17535: heap_e7401611519738050253t_unit,X17536: nat,X17537: nat,X17538: heap_e7401611519738050253t_unit,X17539: nat,X17540: nat] :
( ~ ( heap_Time_effect_nat @ X17533 @ X17534 @ X17535 @ X17536 @ X17537 )
| ~ ( heap_Time_effect_nat @ X17533 @ X17534 @ X17538 @ X17539 @ X17540 )
| ( X17536 = X17539 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_56_effect__deterministic_I1_J])])]) ).
thf(c_0_18,plain,
h = h2,
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_19,plain,
( thesis
| ( r
!= ( array_length_a @ h2 @ a ) )
| ( h2 != h )
| ( n != one_one_nat ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_20,negated_conjecture,
~ thesis,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_21,plain,
! [X3: nat,X2: heap_e7401611519738050253t_unit,X5: nat,X1: heap_e7401611519738050253t_unit,X6: nat,X14: heap_e7401611519738050253t_unit,X12: heap_Time_Heap_nat,X11: nat] :
( ( X3 = X6 )
| ~ ( heap_Time_effect_nat @ X12 @ X1 @ X2 @ X3 @ X5 )
| ~ ( heap_Time_effect_nat @ X12 @ X1 @ X14 @ X6 @ X11 ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_22,plain,
heap_Time_effect_nat @ ( array_len_a @ a ) @ h2 @ h2 @ r @ n,
inference(rw,[status(thm)],[c_0_10,c_0_18]) ).
thf(c_0_23,plain,
! [X17517: heap_Time_Heap_nat,X17518: heap_e7401611519738050253t_unit,X17519: heap_e7401611519738050253t_unit,X17520: nat,X17521: nat,X17522: heap_e7401611519738050253t_unit,X17523: nat,X17524: nat] :
( ~ ( heap_Time_effect_nat @ X17517 @ X17518 @ X17519 @ X17520 @ X17521 )
| ~ ( heap_Time_effect_nat @ X17517 @ X17518 @ X17522 @ X17523 @ X17524 )
| ( X17521 = X17524 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_54_effect__deterministic_I3_J])])]) ).
thf(c_0_24,plain,
( ( ( array_length_a @ h2 @ a )
!= r )
| ( h != h2 )
| ( n != one_one_nat ) ),
inference(sr,[status(thm)],[c_0_19,c_0_20]) ).
thf(c_0_25,plain,
! [X3: nat,X1: heap_e7401611519738050253t_unit,X5: nat] :
( ( X3 = r )
| ~ ( heap_Time_effect_nat @ ( array_len_a @ a ) @ h2 @ X1 @ X3 @ X5 ) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
thf(c_0_26,plain,
! [X3: nat,X2: heap_e7401611519738050253t_unit,X1: heap_e7401611519738050253t_unit,X5: nat,X6: nat,X14: heap_e7401611519738050253t_unit,X12: heap_Time_Heap_nat,X11: nat] :
( ( X5 = X11 )
| ~ ( heap_Time_effect_nat @ X12 @ X1 @ X2 @ X3 @ X5 )
| ~ ( heap_Time_effect_nat @ X12 @ X1 @ X14 @ X6 @ X11 ) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
thf(c_0_27,plain,
( ( ( array_length_a @ h2 @ a )
!= r )
| ( n != one_one_nat ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_18])]) ).
thf(c_0_28,plain,
( ( array_length_a @ h2 @ a )
= r ),
inference(spm,[status(thm)],[c_0_25,c_0_14]) ).
thf(c_0_29,plain,
! [X5: nat,X1: heap_e7401611519738050253t_unit,X3: nat] :
( ( X3 = n )
| ~ ( heap_Time_effect_nat @ ( array_len_a @ a ) @ h2 @ X1 @ X5 @ X3 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_22]) ).
thf(c_0_30,plain,
n != one_one_nat,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]) ).
thf(c_0_31,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_14]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 2.06/2.11 % Problem : ITP208^3 : TPTP v8.1.2. Released v8.1.0.
% 2.11/2.12 % Command : run_E %s %d THM
% 2.13/2.33 % Computer : n024.cluster.edu
% 2.13/2.33 % Model : x86_64 x86_64
% 2.13/2.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 2.13/2.33 % Memory : 8042.1875MB
% 2.13/2.33 % OS : Linux 3.10.0-693.el7.x86_64
% 2.13/2.33 % CPULimit : 300
% 2.13/2.33 % WCLimit : 300
% 2.13/2.33 % DateTime : Fri May 3 12:49:52 EDT 2024
% 2.13/2.33 % CPUTime :
% 4.26/4.43 Running higher-order theorem proving
% 4.26/4.43 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.EgTVo3aJib/E---3.1_31233.p
% 9.12/6.05 # Version: 3.1.0-ho
% 9.12/6.05 # partial match(1): HMLMSMSMSSLCHFA
% 9.12/6.05 # Preprocessing class: HMLMSMLMSSLCHFA.
% 9.12/6.05 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.12/6.05 # Starting new_ho_10 with 1500s (5) cores
% 9.12/6.05 # Starting sh5l with 300s (1) cores
% 9.12/6.05 # Starting new_bool_1 with 300s (1) cores
% 9.12/6.05 # Starting new_bool_2 with 300s (1) cores
% 9.12/6.05 # new_bool_1 with pid 31313 completed with status 0
% 9.12/6.05 # Result found by new_bool_1
% 9.12/6.05 # partial match(1): HMLMSMSMSSLCHFA
% 9.12/6.05 # Preprocessing class: HMLMSMLMSSLCHFA.
% 9.12/6.05 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.12/6.05 # Starting new_ho_10 with 1500s (5) cores
% 9.12/6.05 # Starting sh5l with 300s (1) cores
% 9.12/6.05 # Starting new_bool_1 with 300s (1) cores
% 9.12/6.05 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 9.12/6.05 # Search class: HGHSM-SSLM32-DHFFFSBN
% 9.12/6.05 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 9.12/6.05 # Starting new_ho_10 with 181s (1) cores
% 9.12/6.05 # new_ho_10 with pid 31316 completed with status 0
% 9.12/6.05 # Result found by new_ho_10
% 9.12/6.05 # partial match(1): HMLMSMSMSSLCHFA
% 9.12/6.05 # Preprocessing class: HMLMSMLMSSLCHFA.
% 9.12/6.05 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.12/6.05 # Starting new_ho_10 with 1500s (5) cores
% 9.12/6.05 # Starting sh5l with 300s (1) cores
% 9.12/6.05 # Starting new_bool_1 with 300s (1) cores
% 9.12/6.05 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 9.12/6.05 # Search class: HGHSM-SSLM32-DHFFFSBN
% 9.12/6.05 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 9.12/6.05 # Starting new_ho_10 with 181s (1) cores
% 9.12/6.05 # Preprocessing time : 0.023 s
% 9.12/6.05 # Presaturation interreduction done
% 9.12/6.05
% 9.12/6.05 # Proof found!
% 9.12/6.05 # SZS status Theorem
% 9.12/6.05 # SZS output start CNFRefutation
% See solution above
% 9.12/6.05 # Parsed axioms : 10202
% 9.12/6.05 # Removed by relevancy pruning/SinE : 9574
% 9.12/6.05 # Initial clauses : 1128
% 9.12/6.05 # Removed in clause preprocessing : 33
% 9.12/6.05 # Initial clauses in saturation : 1095
% 9.12/6.05 # Processed clauses : 4227
% 9.12/6.05 # ...of these trivial : 175
% 9.12/6.05 # ...subsumed : 1900
% 9.12/6.05 # ...remaining for further processing : 2152
% 9.12/6.05 # Other redundant clauses eliminated : 679
% 9.12/6.05 # Clauses deleted for lack of memory : 0
% 9.12/6.05 # Backward-subsumed : 28
% 9.12/6.05 # Backward-rewritten : 47
% 9.12/6.05 # Generated clauses : 52237
% 9.12/6.05 # ...of the previous two non-redundant : 48289
% 9.12/6.05 # ...aggressively subsumed : 0
% 9.12/6.05 # Contextual simplify-reflections : 11
% 9.12/6.05 # Paramodulations : 51428
% 9.12/6.05 # Factorizations : 8
% 9.12/6.05 # NegExts : 0
% 9.12/6.05 # Equation resolutions : 694
% 9.12/6.05 # Disequality decompositions : 0
% 9.12/6.05 # Total rewrite steps : 12008
% 9.12/6.05 # ...of those cached : 10263
% 9.12/6.05 # Propositional unsat checks : 0
% 9.12/6.05 # Propositional check models : 0
% 9.12/6.05 # Propositional check unsatisfiable : 0
% 9.12/6.05 # Propositional clauses : 0
% 9.12/6.05 # Propositional clauses after purity: 0
% 9.12/6.05 # Propositional unsat core size : 0
% 9.12/6.05 # Propositional preprocessing time : 0.000
% 9.12/6.05 # Propositional encoding time : 0.000
% 9.12/6.05 # Propositional solver time : 0.000
% 9.12/6.05 # Success case prop preproc time : 0.000
% 9.12/6.05 # Success case prop encoding time : 0.000
% 9.12/6.05 # Success case prop solver time : 0.000
% 9.12/6.05 # Current number of processed clauses : 1297
% 9.12/6.05 # Positive orientable unit clauses : 206
% 9.12/6.05 # Positive unorientable unit clauses: 7
% 9.12/6.05 # Negative unit clauses : 109
% 9.12/6.05 # Non-unit-clauses : 975
% 9.12/6.05 # Current number of unprocessed clauses: 45674
% 9.12/6.05 # ...number of literals in the above : 169610
% 9.12/6.05 # Current number of archived formulas : 0
% 9.12/6.05 # Current number of archived clauses : 751
% 9.12/6.05 # Clause-clause subsumption calls (NU) : 132583
% 9.12/6.05 # Rec. Clause-clause subsumption calls : 52172
% 9.12/6.05 # Non-unit clause-clause subsumptions : 941
% 9.12/6.05 # Unit Clause-clause subsumption calls : 3942
% 9.12/6.05 # Rewrite failures with RHS unbound : 0
% 9.12/6.05 # BW rewrite match attempts : 335
% 9.12/6.05 # BW rewrite match successes : 117
% 9.12/6.05 # Condensation attempts : 4227
% 9.12/6.05 # Condensation successes : 56
% 9.12/6.05 # Termbank termtop insertions : 1057865
% 9.12/6.05 # Search garbage collected termcells : 95881
% 9.12/6.05
% 9.12/6.05 # -------------------------------------------------
% 9.12/6.05 # User time : 1.097 s
% 9.12/6.05 # System time : 0.054 s
% 9.12/6.05 # Total time : 1.151 s
% 9.12/6.05 # Maximum resident set size: 24560 pages
% 9.12/6.05
% 9.12/6.05 # -------------------------------------------------
% 9.12/6.05 # User time : 1.530 s
% 9.12/6.05 # System time : 0.069 s
% 9.12/6.05 # Total time : 1.599 s
% 9.12/6.05 # Maximum resident set size: 20484 pages
% 9.12/6.05 % E---3.1 exiting
% 9.12/6.06 % E exiting
%------------------------------------------------------------------------------