TSTP Solution File: ITP071^1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP071^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n031.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 08:06:51 EDT 2024
% Result : Theorem 0.44s 0.76s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of formulae : 24 ( 14 unt; 10 typ; 0 def)
% Number of atoms : 14 ( 6 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 61 ( 4 ~; 0 |; 0 &; 57 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 9 ( 0 ^ 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
produc143150363Tree_a: $tType ).
thf(decl_sort2,type,
tree_a: $tType ).
thf(decl_sort3,type,
a: $tType ).
thf(decl_56,type,
heapIm837449470Leaf_a: tree_a > produc143150363Tree_a ).
thf(decl_61,type,
e_a: tree_a ).
thf(decl_62,type,
t_a: a > tree_a > tree_a > tree_a ).
thf(decl_64,type,
is_heap_a: tree_a > $o ).
thf(decl_81,type,
produc686083979Tree_a: a > tree_a > produc143150363Tree_a ).
thf(decl_120,type,
product_snd_a_Tree_a: produc143150363Tree_a > tree_a ).
thf(decl_135,type,
v: a ).
thf(conj_0,conjecture,
is_heap_a @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v @ e_a @ e_a ) ) ),
file('/export/starexec/sandbox/tmp/tmp.JsL05sN5T3/E---3.1_23625.p',conj_0) ).
thf(fact_16_removeLeaf_Osimps_I1_J,axiom,
! [X11: a] :
( ( heapIm837449470Leaf_a @ ( t_a @ X11 @ e_a @ e_a ) )
= ( produc686083979Tree_a @ X11 @ e_a ) ),
file('/export/starexec/sandbox/tmp/tmp.JsL05sN5T3/E---3.1_23625.p',fact_16_removeLeaf_Osimps_I1_J) ).
thf(fact_29_snd__conv,axiom,
! [X32: a,X33: tree_a] :
( ( product_snd_a_Tree_a @ ( produc686083979Tree_a @ X32 @ X33 ) )
= X33 ),
file('/export/starexec/sandbox/tmp/tmp.JsL05sN5T3/E---3.1_23625.p',fact_29_snd__conv) ).
thf(fact_10_is__heap_Osimps_I1_J,axiom,
is_heap_a @ e_a,
file('/export/starexec/sandbox/tmp/tmp.JsL05sN5T3/E---3.1_23625.p',fact_10_is__heap_Osimps_I1_J) ).
thf(c_0_4,negated_conjecture,
~ ( is_heap_a @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v @ e_a @ e_a ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
thf(c_0_5,negated_conjecture,
~ ( is_heap_a @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v @ e_a @ e_a ) ) ) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_6,plain,
! [X1678: a] :
( ( heapIm837449470Leaf_a @ ( t_a @ X1678 @ e_a @ e_a ) )
= ( produc686083979Tree_a @ X1678 @ e_a ) ),
inference(variable_rename,[status(thm)],[fact_16_removeLeaf_Osimps_I1_J]) ).
thf(c_0_7,negated_conjecture,
~ ( is_heap_a @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v @ e_a @ e_a ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
! [X2: a] :
( ( heapIm837449470Leaf_a @ ( t_a @ X2 @ e_a @ e_a ) )
= ( produc686083979Tree_a @ X2 @ e_a ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_9,plain,
! [X1609: a,X1610: tree_a] :
( ( product_snd_a_Tree_a @ ( produc686083979Tree_a @ X1609 @ X1610 ) )
= X1610 ),
inference(variable_rename,[status(thm)],[fact_29_snd__conv]) ).
thf(c_0_10,negated_conjecture,
~ ( is_heap_a @ ( product_snd_a_Tree_a @ ( produc686083979Tree_a @ v @ e_a ) ) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_11,plain,
! [X2: a,X1: tree_a] :
( ( product_snd_a_Tree_a @ ( produc686083979Tree_a @ X2 @ X1 ) )
= X1 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_12,plain,
is_heap_a @ e_a,
inference(split_conjunct,[status(thm)],[fact_10_is__heap_Osimps_I1_J]) ).
thf(c_0_13,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.18/0.18 % Problem : ITP071^1 : TPTP v8.1.2. Released v7.5.0.
% 0.18/0.20 % Command : run_E %s %d THM
% 0.19/0.41 % Computer : n031.cluster.edu
% 0.19/0.41 % Model : x86_64 x86_64
% 0.19/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.41 % Memory : 8042.1875MB
% 0.19/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.41 % CPULimit : 300
% 0.19/0.41 % WCLimit : 300
% 0.19/0.41 % DateTime : Fri May 3 12:47:47 EDT 2024
% 0.19/0.41 % CPUTime :
% 0.26/0.60 Running higher-order theorem proving
% 0.26/0.60 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.JsL05sN5T3/E---3.1_23625.p
% 0.44/0.76 # Version: 3.1.0-ho
% 0.44/0.76 # Preprocessing class: HSLMSMSSSSLCHFA.
% 0.44/0.76 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.76 # Starting new_ho_10 with 1500s (5) cores
% 0.44/0.76 # Starting sh5l with 300s (1) cores
% 0.44/0.76 # Starting lpo8_s with 300s (1) cores
% 0.44/0.76 # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.44/0.76 # sh5l with pid 23794 completed with status 0
% 0.44/0.76 # Result found by sh5l
% 0.44/0.76 # Preprocessing class: HSLMSMSSSSLCHFA.
% 0.44/0.76 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.76 # Starting new_ho_10 with 1500s (5) cores
% 0.44/0.76 # Starting sh5l with 300s (1) cores
% 0.44/0.76 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.44/0.76 # Search class: HGUSM-FSLM31-DHFFFMBN
% 0.44/0.76 # partial match(1): HGUSM-FSLM32-DHFFFMBN
% 0.44/0.76 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.76 # Starting new_ho_10 with 181s (1) cores
% 0.44/0.76 # new_ho_10 with pid 23811 completed with status 0
% 0.44/0.76 # Result found by new_ho_10
% 0.44/0.76 # Preprocessing class: HSLMSMSSSSLCHFA.
% 0.44/0.76 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.76 # Starting new_ho_10 with 1500s (5) cores
% 0.44/0.76 # Starting sh5l with 300s (1) cores
% 0.44/0.76 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.44/0.76 # Search class: HGUSM-FSLM31-DHFFFMBN
% 0.44/0.76 # partial match(1): HGUSM-FSLM32-DHFFFMBN
% 0.44/0.76 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.76 # Starting new_ho_10 with 181s (1) cores
% 0.44/0.76 # Preprocessing time : 0.013 s
% 0.44/0.76 # Presaturation interreduction done
% 0.44/0.76
% 0.44/0.76 # Proof found!
% 0.44/0.76 # SZS status Theorem
% 0.44/0.76 # SZS output start CNFRefutation
% See solution above
% 0.44/0.76 # Parsed axioms : 484
% 0.44/0.76 # Removed by relevancy pruning/SinE : 223
% 0.44/0.76 # Initial clauses : 594
% 0.44/0.76 # Removed in clause preprocessing : 10
% 0.44/0.76 # Initial clauses in saturation : 584
% 0.44/0.76 # Processed clauses : 632
% 0.44/0.76 # ...of these trivial : 44
% 0.44/0.76 # ...subsumed : 173
% 0.44/0.76 # ...remaining for further processing : 415
% 0.44/0.76 # Other redundant clauses eliminated : 35
% 0.44/0.76 # Clauses deleted for lack of memory : 0
% 0.44/0.76 # Backward-subsumed : 1
% 0.44/0.76 # Backward-rewritten : 2
% 0.44/0.76 # Generated clauses : 43
% 0.44/0.76 # ...of the previous two non-redundant : 30
% 0.44/0.76 # ...aggressively subsumed : 0
% 0.44/0.76 # Contextual simplify-reflections : 0
% 0.44/0.76 # Paramodulations : 4
% 0.44/0.76 # Factorizations : 0
% 0.44/0.76 # NegExts : 0
% 0.44/0.76 # Equation resolutions : 35
% 0.44/0.76 # Disequality decompositions : 0
% 0.44/0.76 # Total rewrite steps : 130
% 0.44/0.76 # ...of those cached : 102
% 0.44/0.76 # Propositional unsat checks : 0
% 0.44/0.76 # Propositional check models : 0
% 0.44/0.76 # Propositional check unsatisfiable : 0
% 0.44/0.76 # Propositional clauses : 0
% 0.44/0.76 # Propositional clauses after purity: 0
% 0.44/0.76 # Propositional unsat core size : 0
% 0.44/0.76 # Propositional preprocessing time : 0.000
% 0.44/0.76 # Propositional encoding time : 0.000
% 0.44/0.76 # Propositional solver time : 0.000
% 0.44/0.76 # Success case prop preproc time : 0.000
% 0.44/0.76 # Success case prop encoding time : 0.000
% 0.44/0.76 # Success case prop solver time : 0.000
% 0.44/0.76 # Current number of processed clauses : 23
% 0.44/0.76 # Positive orientable unit clauses : 19
% 0.44/0.76 # Positive unorientable unit clauses: 0
% 0.44/0.76 # Negative unit clauses : 3
% 0.44/0.76 # Non-unit-clauses : 1
% 0.44/0.76 # Current number of unprocessed clauses: 336
% 0.44/0.76 # ...number of literals in the above : 1199
% 0.44/0.76 # Current number of archived formulas : 0
% 0.44/0.76 # Current number of archived clauses : 357
% 0.44/0.76 # Clause-clause subsumption calls (NU) : 49987
% 0.44/0.76 # Rec. Clause-clause subsumption calls : 5366
% 0.44/0.76 # Non-unit clause-clause subsumptions : 185
% 0.44/0.76 # Unit Clause-clause subsumption calls : 285
% 0.44/0.76 # Rewrite failures with RHS unbound : 0
% 0.44/0.76 # BW rewrite match attempts : 34
% 0.44/0.76 # BW rewrite match successes : 2
% 0.44/0.76 # Condensation attempts : 632
% 0.44/0.76 # Condensation successes : 12
% 0.44/0.76 # Termbank termtop insertions : 64941
% 0.44/0.76 # Search garbage collected termcells : 11835
% 0.44/0.76
% 0.44/0.76 # -------------------------------------------------
% 0.44/0.76 # User time : 0.118 s
% 0.44/0.76 # System time : 0.006 s
% 0.44/0.76 # Total time : 0.124 s
% 0.44/0.76 # Maximum resident set size: 5100 pages
% 0.44/0.76
% 0.44/0.76 # -------------------------------------------------
% 0.44/0.76 # User time : 0.134 s
% 0.44/0.76 # System time : 0.011 s
% 0.44/0.76 # Total time : 0.144 s
% 0.44/0.76 # Maximum resident set size: 2828 pages
% 0.44/0.76 % E---3.1 exiting
% 0.44/0.76 % E exiting
%------------------------------------------------------------------------------