TSTP Solution File: ITP236_1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP236_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 08:07:41 EDT 2024
% Result : Theorem 25.05s 21.84s
% Output : CNFRefutation 25.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 18
% Syntax : Number of formulae : 27 ( 9 unt; 15 typ; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 4 !; 1 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
nat: $tType ).
tff(decl_sort2,type,
fun_nat_bool: $tType ).
tff(decl_sort3,type,
list_VEBT_VEBT: $tType ).
tff(decl_sort4,type,
bool: $tType ).
tff(decl_sort5,type,
fun_VE3763956218935105199t_bool: $tType ).
tff(decl_sort6,type,
vEBT_VEBT: $tType ).
tff(decl_1192,type,
nth_VEBT_VEBT: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).
tff(decl_1728,type,
vEBT_V8194947554948674370ptions: fun_VE3763956218935105199t_bool ).
tff(decl_1860,type,
aa_nat_bool: ( fun_nat_bool * nat ) > bool ).
tff(decl_2023,type,
aa_VEB4832260192069861672t_bool: ( fun_VE3763956218935105199t_bool * vEBT_VEBT ) > fun_nat_bool ).
tff(decl_2302,type,
pp: bool > $o ).
tff(decl_2306,type,
maxs: nat ).
tff(decl_2310,type,
thesis: $o ).
tff(decl_2311,type,
treeList: list_VEBT_VEBT ).
tff(decl_2354,type,
esk38_0: nat ).
fof(conj_1,conjecture,
thesis,
file('/export/starexec/sandbox/tmp/tmp.3byKrTgYwl/E---3.1_6426.p',conj_1) ).
tff(conj_0,hypothesis,
! [X19779: nat] :
( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),X19779))
=> thesis ),
file('/export/starexec/sandbox/tmp/tmp.3byKrTgYwl/E---3.1_6426.p',conj_0) ).
tff(fact_0__092_060open_062_092_060exists_062x_O_Aboth__member__options_A_ItreeList_A_B_Amaxs_J_Ax_092_060close_062,axiom,
? [X1: nat] : pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),X1)),
file('/export/starexec/sandbox/tmp/tmp.3byKrTgYwl/E---3.1_6426.p',fact_0__092_060open_062_092_060exists_062x_O_Aboth__member__options_A_ItreeList_A_B_Amaxs_J_Ax_092_060close_062) ).
fof(c_0_3,negated_conjecture,
~ thesis,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])]) ).
tff(c_0_4,hypothesis,
! [X19780: nat] :
( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),X19780))
| thesis ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])]) ).
fof(c_0_5,negated_conjecture,
~ thesis,
inference(fof_nnf,[status(thm)],[c_0_3]) ).
tff(c_0_6,plain,
pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),esk38_0)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_0__092_060open_062_092_060exists_062x_O_Aboth__member__options_A_ItreeList_A_B_Amaxs_J_Ax_092_060close_062])]) ).
tcf(c_0_7,hypothesis,
! [X1: nat] :
( thesis
| ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,negated_conjecture,
~ thesis,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_9,plain,
pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),esk38_0)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
tcf(c_0_10,hypothesis,
! [X1: nat] : ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),X1)),
inference(sr,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,plain,
$false,
inference(sr,[status(thm)],[c_0_9,c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 10.95/11.04 % Problem : ITP236_1 : TPTP v8.1.2. Released v8.0.0.
% 10.95/11.06 % Command : run_E %s %d THM
% 11.03/11.25 % Computer : n002.cluster.edu
% 11.03/11.25 % Model : x86_64 x86_64
% 11.03/11.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 11.03/11.25 % Memory : 8042.1875MB
% 11.03/11.25 % OS : Linux 3.10.0-693.el7.x86_64
% 11.03/11.25 % CPULimit : 300
% 11.03/11.25 % WCLimit : 300
% 11.03/11.25 % DateTime : Fri May 3 12:35:53 EDT 2024
% 11.03/11.25 % CPUTime :
% 19.66/19.90 Running first-order theorem proving
% 19.66/19.90 Running: /export/starexec/sandbox/solver/bin/eprover --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.3byKrTgYwl/E---3.1_6426.p
% 25.05/21.84 # Version: 3.1.0
% 25.05/21.84 # Preprocessing class: FMLLSMLLSSSNFFN.
% 25.05/21.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 25.05/21.84 # Starting new_bool_3 with 900s (3) cores
% 25.05/21.84 # Starting new_bool_1 with 900s (3) cores
% 25.05/21.84 # Starting sh5l with 300s (1) cores
% 25.05/21.84 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 25.05/21.84 # new_bool_1 with pid 6925 completed with status 0
% 25.05/21.84 # Result found by new_bool_1
% 25.05/21.84 # Preprocessing class: FMLLSMLLSSSNFFN.
% 25.05/21.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 25.05/21.84 # Starting new_bool_3 with 900s (3) cores
% 25.05/21.84 # Starting new_bool_1 with 900s (3) cores
% 25.05/21.84 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 25.05/21.84 # Search class: FGHSM-SMLM32-DFFFFFNN
% 25.05/21.84 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 25.05/21.84 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 25.05/21.84 # Starting new_bool_1 with 91s (1) cores
% 25.05/21.84 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 68s (1) cores
% 25.05/21.84 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with pid 6928 completed with status 0
% 25.05/21.84 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y
% 25.05/21.84 # Preprocessing class: FMLLSMLLSSSNFFN.
% 25.05/21.84 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 25.05/21.84 # Starting new_bool_3 with 900s (3) cores
% 25.05/21.84 # Starting new_bool_1 with 900s (3) cores
% 25.05/21.84 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 25.05/21.84 # Search class: FGHSM-SMLM32-DFFFFFNN
% 25.05/21.84 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 25.05/21.84 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 25.05/21.84 # Preprocessing time : 0.133 s
% 25.05/21.84 # Presaturation interreduction done
% 25.05/21.84
% 25.05/21.84 # Proof found!
% 25.05/21.84 # SZS status Theorem
% 25.05/21.84 # SZS output start CNFRefutation
% See solution above
% 25.05/21.84 # Parsed axioms : 13486
% 25.05/21.84 # Removed by relevancy pruning/SinE : 11346
% 25.05/21.84 # Initial clauses : 6943
% 25.05/21.84 # Removed in clause preprocessing : 1808
% 25.05/21.84 # Initial clauses in saturation : 5135
% 25.05/21.84 # Processed clauses : 733
% 25.05/21.84 # ...of these trivial : 46
% 25.05/21.84 # ...subsumed : 138
% 25.05/21.84 # ...remaining for further processing : 548
% 25.05/21.84 # Other redundant clauses eliminated : 213
% 25.05/21.84 # Clauses deleted for lack of memory : 0
% 25.05/21.84 # Backward-subsumed : 8
% 25.05/21.84 # Backward-rewritten : 6
% 25.05/21.84 # Generated clauses : 201
% 25.05/21.84 # ...of the previous two non-redundant : 108
% 25.05/21.84 # ...aggressively subsumed : 0
% 25.05/21.84 # Contextual simplify-reflections : 1
% 25.05/21.84 # Paramodulations : 0
% 25.05/21.84 # Factorizations : 0
% 25.05/21.84 # NegExts : 0
% 25.05/21.84 # Equation resolutions : 213
% 25.05/21.84 # Disequality decompositions : 0
% 25.05/21.84 # Total rewrite steps : 186
% 25.05/21.84 # ...of those cached : 123
% 25.05/21.84 # Propositional unsat checks : 0
% 25.05/21.84 # Propositional check models : 0
% 25.05/21.84 # Propositional check unsatisfiable : 0
% 25.05/21.84 # Propositional clauses : 0
% 25.05/21.84 # Propositional clauses after purity: 0
% 25.05/21.84 # Propositional unsat core size : 0
% 25.05/21.84 # Propositional preprocessing time : 0.000
% 25.05/21.84 # Propositional encoding time : 0.000
% 25.05/21.84 # Propositional solver time : 0.000
% 25.05/21.84 # Success case prop preproc time : 0.000
% 25.05/21.84 # Success case prop encoding time : 0.000
% 25.05/21.84 # Success case prop solver time : 0.000
% 25.05/21.84 # Current number of processed clauses : 333
% 25.05/21.84 # Positive orientable unit clauses : 97
% 25.05/21.84 # Positive unorientable unit clauses: 0
% 25.05/21.84 # Negative unit clauses : 71
% 25.05/21.84 # Non-unit-clauses : 165
% 25.05/21.84 # Current number of unprocessed clauses: 4510
% 25.05/21.84 # ...number of literals in the above : 22006
% 25.05/21.84 # Current number of archived formulas : 0
% 25.05/21.84 # Current number of archived clauses : 14
% 25.05/21.84 # Clause-clause subsumption calls (NU) : 8238
% 25.05/21.84 # Rec. Clause-clause subsumption calls : 7039
% 25.05/21.84 # Non-unit clause-clause subsumptions : 114
% 25.05/21.84 # Unit Clause-clause subsumption calls : 208
% 25.05/21.84 # Rewrite failures with RHS unbound : 0
% 25.05/21.84 # BW rewrite match attempts : 265
% 25.05/21.84 # BW rewrite match successes : 6
% 25.05/21.84 # Condensation attempts : 0
% 25.05/21.84 # Condensation successes : 0
% 25.05/21.84 # Termbank termtop insertions : 834836
% 25.05/21.84 # Search garbage collected termcells : 191110
% 25.05/21.84
% 25.05/21.84 # -------------------------------------------------
% 25.05/21.84 # User time : 0.867 s
% 25.05/21.84 # System time : 0.071 s
% 25.05/21.84 # Total time : 0.938 s
% 25.05/21.84 # Maximum resident set size: 43884 pages
% 25.05/21.84
% 25.05/21.84 # -------------------------------------------------
% 25.05/21.84 # User time : 2.114 s
% 25.05/21.84 # System time : 0.132 s
% 25.05/21.84 # Total time : 2.246 s
% 25.05/21.84 # Maximum resident set size: 30348 pages
% 25.05/21.84 % E---3.1 exiting
% 25.09/21.89 % E exiting
%------------------------------------------------------------------------------