TSTP Solution File: SCT171^2 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SCT171^2 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n018.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 : Tue May 21 02:45:10 EDT 2024
% Result : Theorem 0.22s 0.59s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 21
% Syntax : Number of formulae : 30 ( 1 unt; 18 typ; 0 def)
% Number of atoms : 133 ( 9 equ; 0 cnn)
% Maximal formula atoms : 30 ( 11 avg)
% Number of connectives : 277 ( 6 ~; 3 |; 1 &; 265 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 10 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 5 con; 0-4 aty)
% Number of variables : 9 ( 9 ^ 0 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
produc1501160679le_alt: $tType ).
thf(decl_sort2,type,
arrow_1429601828e_indi: $tType ).
thf(decl_sort3,type,
arrow_475358991le_alt: $tType ).
thf(decl_sort4,type,
nat: $tType ).
thf(decl_26,type,
arrow_789600939_above: ( produc1501160679le_alt > $o ) > arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt > $o ).
thf(decl_29,type,
arrow_2054445623_mkbot: ( produc1501160679le_alt > $o ) > arrow_475358991le_alt > produc1501160679le_alt > $o ).
thf(decl_30,type,
arrow_55669061_mktop: ( produc1501160679le_alt > $o ) > arrow_475358991le_alt > produc1501160679le_alt > $o ).
thf(decl_92,type,
if_Pro1561232536_alt_o: $o > ( produc1501160679le_alt > $o ) > ( produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ).
thf(decl_103,type,
ord_less_nat: nat > nat > $o ).
thf(decl_124,type,
produc1347929815le_alt: arrow_475358991le_alt > arrow_475358991le_alt > produc1501160679le_alt ).
thf(decl_171,type,
member214075476le_alt: produc1501160679le_alt > ( produc1501160679le_alt > $o ) > $o ).
thf(decl_172,type,
f: ( arrow_1429601828e_indi > produc1501160679le_alt > $o ) > produc1501160679le_alt > $o ).
thf(decl_175,type,
p: arrow_1429601828e_indi > produc1501160679le_alt > $o ).
thf(decl_178,type,
c: arrow_475358991le_alt ).
thf(decl_179,type,
d: arrow_475358991le_alt ).
thf(decl_180,type,
e: arrow_475358991le_alt ).
thf(decl_181,type,
h: arrow_1429601828e_indi > nat ).
thf(decl_182,type,
n: nat ).
thf(fact_14_PW,axiom,
( ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) )
<=> ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [X11: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ X11 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ X11 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ X11 )
= n )
@ ( arrow_789600939_above @ ( p @ X11 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ X11 ) @ e ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_PW) ).
thf(conj_0,conjecture,
member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [X11: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ X11 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ X11 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ X11 )
= n )
@ ( arrow_789600939_above @ ( p @ X11 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ X11 ) @ e ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto) ).
thf(c_0_3,plain,
( ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) )
<=> ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [Z0: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ Z0 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ Z0 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ Z0 )
= n )
@ ( arrow_789600939_above @ ( p @ Z0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ Z0 ) @ e ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_14_PW]) ).
thf(c_0_4,plain,
( ( ~ ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) )
| ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [Z0: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ Z0 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ Z0 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ Z0 )
= n )
@ ( arrow_789600939_above @ ( p @ Z0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ Z0 ) @ e ) ) ) ) ) )
& ( ~ ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [Z0: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ Z0 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ Z0 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ Z0 )
= n )
@ ( arrow_789600939_above @ ( p @ Z0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ Z0 ) @ e ) ) ) ) )
| ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) ) ) ),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
~ ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
thf(c_0_6,plain,
( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [Z0: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ Z0 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ Z0 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ Z0 )
= n )
@ ( arrow_789600939_above @ ( p @ Z0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ Z0 ) @ e ) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto]) ).
thf(c_0_7,plain,
( ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) )
| ~ ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [Z0: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ Z0 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ Z0 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ Z0 )
= n )
@ ( arrow_789600939_above @ ( p @ Z0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ Z0 ) @ e ) ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_8,negated_conjecture,
~ ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d ) @ ( f @ p ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [Z0: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ Z0 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ Z0 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ Z0 )
= n )
@ ( arrow_789600939_above @ ( p @ Z0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ Z0 ) @ e ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
~ ( member214075476le_alt @ ( produc1347929815le_alt @ c @ d )
@ ( f
@ ^ [Z0: arrow_1429601828e_indi] :
( if_Pro1561232536_alt_o @ ( ord_less_nat @ ( h @ Z0 ) @ n ) @ ( arrow_55669061_mktop @ ( p @ Z0 ) @ e )
@ ( if_Pro1561232536_alt_o
@ ( ( h @ Z0 )
= n )
@ ( arrow_789600939_above @ ( p @ Z0 ) @ c @ e )
@ ( arrow_2054445623_mkbot @ ( p @ Z0 ) @ e ) ) ) ) ),
inference(sr,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_11,plain,
$false,
inference(sr,[status(thm)],[c_0_9,c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SCT171^2 : TPTP v8.2.0. Released v5.3.0.
% 0.09/0.15 % Command : run_E %s %d THM
% 0.15/0.37 % Computer : n018.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon May 20 00:00:37 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.22/0.52 Running higher-order theorem proving
% 0.22/0.52 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/benchmark/theBenchmark.p
% 0.22/0.59 # Version: 3.1.0-ho
% 0.22/0.59 # Preprocessing class: HSLMSMSMSSLCHSA.
% 0.22/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.59 # Starting new_bool_8 with 1500s (5) cores
% 0.22/0.59 # Starting new_ho_6 with 300s (1) cores
% 0.22/0.59 # Starting full_lambda_4 with 300s (1) cores
% 0.22/0.59 # Starting new_bool_7 with 300s (1) cores
% 0.22/0.59 # new_bool_7 with pid 4420 completed with status 0
% 0.22/0.59 # Result found by new_bool_7
% 0.22/0.59 # Preprocessing class: HSLMSMSMSSLCHSA.
% 0.22/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.59 # Starting new_bool_8 with 1500s (5) cores
% 0.22/0.59 # Starting new_ho_6 with 300s (1) cores
% 0.22/0.59 # Starting full_lambda_4 with 300s (1) cores
% 0.22/0.59 # Starting new_bool_7 with 300s (1) cores
% 0.22/0.59 # SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 0.22/0.59 # Search class: HGUSF-FFMS21-DHSFFFBN
% 0.22/0.59 # partial match(3): HGHSF-FFMM21-SHSFFFBN
% 0.22/0.59 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.59 # Starting ho_unfolding_3 with 163s (1) cores
% 0.22/0.59 # ho_unfolding_3 with pid 4421 completed with status 0
% 0.22/0.59 # Result found by ho_unfolding_3
% 0.22/0.59 # Preprocessing class: HSLMSMSMSSLCHSA.
% 0.22/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.59 # Starting new_bool_8 with 1500s (5) cores
% 0.22/0.59 # Starting new_ho_6 with 300s (1) cores
% 0.22/0.59 # Starting full_lambda_4 with 300s (1) cores
% 0.22/0.59 # Starting new_bool_7 with 300s (1) cores
% 0.22/0.59 # SinE strategy is GSinE(CountFormulas,hypos,1.0,,1,20000,1.0)
% 0.22/0.59 # Search class: HGUSF-FFMS21-DHSFFFBN
% 0.22/0.59 # partial match(3): HGHSF-FFMM21-SHSFFFBN
% 0.22/0.59 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.59 # Starting ho_unfolding_3 with 163s (1) cores
% 0.22/0.59 # Preprocessing time : 0.006 s
% 0.22/0.59 # Presaturation interreduction done
% 0.22/0.59
% 0.22/0.59 # Proof found!
% 0.22/0.59 # SZS status Theorem
% 0.22/0.59 # SZS output start CNFRefutation
% See solution above
% 0.22/0.59 # Parsed axioms : 870
% 0.22/0.59 # Removed by relevancy pruning/SinE : 857
% 0.22/0.59 # Initial clauses : 65
% 0.22/0.59 # Removed in clause preprocessing : 22
% 0.22/0.59 # Initial clauses in saturation : 43
% 0.22/0.59 # Processed clauses : 39
% 0.22/0.59 # ...of these trivial : 0
% 0.22/0.59 # ...subsumed : 11
% 0.22/0.59 # ...remaining for further processing : 27
% 0.22/0.59 # Other redundant clauses eliminated : 0
% 0.22/0.59 # Clauses deleted for lack of memory : 0
% 0.22/0.59 # Backward-subsumed : 0
% 0.22/0.59 # Backward-rewritten : 0
% 0.22/0.59 # Generated clauses : 0
% 0.22/0.59 # ...of the previous two non-redundant : 0
% 0.22/0.59 # ...aggressively subsumed : 0
% 0.22/0.59 # Contextual simplify-reflections : 0
% 0.22/0.59 # Paramodulations : 0
% 0.22/0.59 # Factorizations : 0
% 0.22/0.59 # NegExts : 0
% 0.22/0.59 # Equation resolutions : 0
% 0.22/0.59 # Disequality decompositions : 0
% 0.22/0.59 # Total rewrite steps : 0
% 0.22/0.59 # ...of those cached : 0
% 0.22/0.59 # Propositional unsat checks : 0
% 0.22/0.59 # Propositional check models : 0
% 0.22/0.59 # Propositional check unsatisfiable : 0
% 0.22/0.59 # Propositional clauses : 0
% 0.22/0.59 # Propositional clauses after purity: 0
% 0.22/0.59 # Propositional unsat core size : 0
% 0.22/0.59 # Propositional preprocessing time : 0.000
% 0.22/0.59 # Propositional encoding time : 0.000
% 0.22/0.59 # Propositional solver time : 0.000
% 0.22/0.59 # Success case prop preproc time : 0.000
% 0.22/0.59 # Success case prop encoding time : 0.000
% 0.22/0.59 # Success case prop solver time : 0.000
% 0.22/0.59 # Current number of processed clauses : 27
% 0.22/0.59 # Positive orientable unit clauses : 1
% 0.22/0.59 # Positive unorientable unit clauses: 0
% 0.22/0.59 # Negative unit clauses : 3
% 0.22/0.59 # Non-unit-clauses : 23
% 0.22/0.59 # Current number of unprocessed clauses: 4
% 0.22/0.59 # ...number of literals in the above : 7
% 0.22/0.59 # Current number of archived formulas : 0
% 0.22/0.59 # Current number of archived clauses : 0
% 0.22/0.59 # Clause-clause subsumption calls (NU) : 365
% 0.22/0.59 # Rec. Clause-clause subsumption calls : 175
% 0.22/0.59 # Non-unit clause-clause subsumptions : 11
% 0.22/0.59 # Unit Clause-clause subsumption calls : 0
% 0.22/0.59 # Rewrite failures with RHS unbound : 0
% 0.22/0.59 # BW rewrite match attempts : 0
% 0.22/0.59 # BW rewrite match successes : 0
% 0.22/0.59 # Condensation attempts : 39
% 0.22/0.59 # Condensation successes : 0
% 0.22/0.59 # Termbank termtop insertions : 15515
% 0.22/0.59 # Search garbage collected termcells : 6988
% 0.22/0.59
% 0.22/0.59 # -------------------------------------------------
% 0.22/0.59 # User time : 0.012 s
% 0.22/0.59 # System time : 0.008 s
% 0.22/0.59 # Total time : 0.020 s
% 0.22/0.59 # Maximum resident set size: 3952 pages
% 0.22/0.59
% 0.22/0.59 # -------------------------------------------------
% 0.22/0.59 # User time : 0.040 s
% 0.22/0.59 # System time : 0.013 s
% 0.22/0.59 # Total time : 0.053 s
% 0.22/0.59 # Maximum resident set size: 3520 pages
% 0.22/0.59 % E---3.1 exiting
% 0.22/0.59 % E exiting
%------------------------------------------------------------------------------