TSTP Solution File: SEV220^5 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEV220^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.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 04:08:01 EDT 2024
% Result : Theorem 0.19s 0.47s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 20 ( 5 unt; 9 typ; 0 def)
% Number of atoms : 33 ( 10 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 81 ( 12 ~; 9 |; 12 &; 41 @)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 1 ^ 14 !; 6 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
b: $tType ).
thf(decl_sort2,type,
a: $tType ).
thf(decl_22,type,
f: b > a ).
thf(decl_23,type,
w: ( b > $o ) > $o ).
thf(decl_24,type,
esk1_0: a ).
thf(decl_25,type,
esk2_0: b ).
thf(decl_26,type,
epred1_0: a > $o ).
thf(decl_27,type,
epred2_0: b > $o ).
thf(decl_28,type,
esk3_1: a > b ).
thf(cX5205_pme,conjecture,
! [X1: a] :
( ? [X2: b] :
( ! [X3: b > $o] :
( ( w @ X3 )
=> ( X3 @ X2 ) )
& ( X1
= ( f @ X2 ) ) )
=> ! [X4: a > $o] :
( ? [X5: b > $o] :
( ( w @ X5 )
& ( X4
= ( ^ [X6: a] :
? [X7: b] :
( ( X5 @ X7 )
& ( X6
= ( f @ X7 ) ) ) ) ) )
=> ( X4 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX5205_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a] :
( ? [X2: b] :
( ! [X3: b > $o] :
( ( w @ X3 )
=> ( X3 @ X2 ) )
& ( X1
= ( f @ X2 ) ) )
=> ! [X4: a > $o] :
( ? [X5: b > $o] :
( ( w @ X5 )
& ! [X13: a] :
( ( X4 @ X13 )
<=> ? [X7: b] :
( ( X5 @ X7 )
& ( X13
= ( f @ X7 ) ) ) ) )
=> ( X4 @ X1 ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cX5205_pme])])]) ).
thf(c_0_2,negated_conjecture,
! [X16: b > $o,X19: a,X21: b] :
( ( ~ ( w @ X16 )
| ( X16 @ esk2_0 ) )
& ( esk1_0
= ( f @ esk2_0 ) )
& ( w @ epred2_0 )
& ( ( epred2_0 @ ( esk3_1 @ X19 ) )
| ~ ( epred1_0 @ X19 ) )
& ( ( X19
= ( f @ ( esk3_1 @ X19 ) ) )
| ~ ( epred1_0 @ X19 ) )
& ( ~ ( epred2_0 @ X21 )
| ( X19
!= ( f @ X21 ) )
| ( epred1_0 @ X19 ) )
& ~ ( epred1_0 @ esk1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X1: a,X2: b] :
( ( epred1_0 @ X1 )
| ~ ( epred2_0 @ X2 )
| ( X1
!= ( f @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X3: b > $o] :
( ( X3 @ esk2_0 )
| ~ ( w @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
w @ epred2_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X2: b] :
( ( epred1_0 @ ( f @ X2 ) )
| ~ ( epred2_0 @ X2 ) ),
inference(er,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
( esk1_0
= ( f @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_8,negated_conjecture,
epred2_0 @ esk2_0,
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
thf(c_0_9,negated_conjecture,
~ ( epred1_0 @ esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_10,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV220^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun May 19 19:19:08 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.46 Running higher-order theorem proving
% 0.19/0.46 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
% 0.19/0.47 # Version: 3.1.0-ho
% 0.19/0.47 # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.19/0.47 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47 # Starting post_as_ho12 with 300s (1) cores
% 0.19/0.47 # Starting new_bool_9 with 300s (1) cores
% 0.19/0.47 # Starting post_as_ho1 with 300s (1) cores
% 0.19/0.47 # Starting post_as_ho4 with 300s (1) cores
% 0.19/0.47 # Starting post_as_ho2 with 300s (1) cores
% 0.19/0.47 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.19/0.47 # Starting full_lambda_10 with 300s (1) cores
% 0.19/0.47 # Starting new_ho_8 with 300s (1) cores
% 0.19/0.47 # post_as_ho12 with pid 17973 completed with status 0
% 0.19/0.47 # Result found by post_as_ho12
% 0.19/0.47 # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.19/0.47 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47 # Starting post_as_ho12 with 300s (1) cores
% 0.19/0.47 # No SInE strategy applied
% 0.19/0.47 # Search class: HHUSF-FFSF11-SSSFFSBN
% 0.19/0.47 # partial match(1): HHUSF-FFSF11-SSSFFMBN
% 0.19/0.47 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.47 # Starting ehoh_best_nonlift with 163s (1) cores
% 0.19/0.47 # ehoh_best_nonlift with pid 17982 completed with status 0
% 0.19/0.47 # Result found by ehoh_best_nonlift
% 0.19/0.47 # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.19/0.47 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47 # Starting post_as_ho12 with 300s (1) cores
% 0.19/0.47 # No SInE strategy applied
% 0.19/0.47 # Search class: HHUSF-FFSF11-SSSFFSBN
% 0.19/0.47 # partial match(1): HHUSF-FFSF11-SSSFFMBN
% 0.19/0.47 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.47 # Starting ehoh_best_nonlift with 163s (1) cores
% 0.19/0.47 # Preprocessing time : 0.001 s
% 0.19/0.47 # Presaturation interreduction done
% 0.19/0.47
% 0.19/0.47 # Proof found!
% 0.19/0.47 # SZS status Theorem
% 0.19/0.47 # SZS output start CNFRefutation
% See solution above
% 0.19/0.47 # Parsed axioms : 5
% 0.19/0.47 # Removed by relevancy pruning/SinE : 0
% 0.19/0.47 # Initial clauses : 11
% 0.19/0.47 # Removed in clause preprocessing : 4
% 0.19/0.47 # Initial clauses in saturation : 7
% 0.19/0.47 # Processed clauses : 15
% 0.19/0.47 # ...of these trivial : 0
% 0.19/0.47 # ...subsumed : 0
% 0.19/0.47 # ...remaining for further processing : 15
% 0.19/0.47 # Other redundant clauses eliminated : 1
% 0.19/0.47 # Clauses deleted for lack of memory : 0
% 0.19/0.47 # Backward-subsumed : 0
% 0.19/0.47 # Backward-rewritten : 0
% 0.19/0.47 # Generated clauses : 5
% 0.19/0.47 # ...of the previous two non-redundant : 3
% 0.19/0.47 # ...aggressively subsumed : 0
% 0.19/0.47 # Contextual simplify-reflections : 0
% 0.19/0.47 # Paramodulations : 2
% 0.19/0.47 # Factorizations : 0
% 0.19/0.47 # NegExts : 0
% 0.19/0.47 # Equation resolutions : 1
% 0.19/0.47 # Disequality decompositions : 0
% 0.19/0.47 # Total rewrite steps : 1
% 0.19/0.47 # ...of those cached : 0
% 0.19/0.47 # Propositional unsat checks : 0
% 0.19/0.47 # Propositional check models : 0
% 0.19/0.47 # Propositional check unsatisfiable : 0
% 0.19/0.47 # Propositional clauses : 0
% 0.19/0.47 # Propositional clauses after purity: 0
% 0.19/0.47 # Propositional unsat core size : 0
% 0.19/0.47 # Propositional preprocessing time : 0.000
% 0.19/0.47 # Propositional encoding time : 0.000
% 0.19/0.47 # Propositional solver time : 0.000
% 0.19/0.47 # Success case prop preproc time : 0.000
% 0.19/0.47 # Success case prop encoding time : 0.000
% 0.19/0.47 # Success case prop solver time : 0.000
% 0.19/0.47 # Current number of processed clauses : 7
% 0.19/0.47 # Positive orientable unit clauses : 3
% 0.19/0.47 # Positive unorientable unit clauses: 0
% 0.19/0.47 # Negative unit clauses : 1
% 0.19/0.47 # Non-unit-clauses : 3
% 0.19/0.47 # Current number of unprocessed clauses: 2
% 0.19/0.47 # ...number of literals in the above : 3
% 0.19/0.47 # Current number of archived formulas : 0
% 0.19/0.47 # Current number of archived clauses : 7
% 0.19/0.47 # Clause-clause subsumption calls (NU) : 0
% 0.19/0.47 # Rec. Clause-clause subsumption calls : 0
% 0.19/0.47 # Non-unit clause-clause subsumptions : 0
% 0.19/0.47 # Unit Clause-clause subsumption calls : 0
% 0.19/0.47 # Rewrite failures with RHS unbound : 0
% 0.19/0.47 # BW rewrite match attempts : 0
% 0.19/0.47 # BW rewrite match successes : 0
% 0.19/0.47 # Condensation attempts : 0
% 0.19/0.47 # Condensation successes : 0
% 0.19/0.47 # Termbank termtop insertions : 754
% 0.19/0.47 # Search garbage collected termcells : 264
% 0.19/0.47
% 0.19/0.47 # -------------------------------------------------
% 0.19/0.47 # User time : 0.003 s
% 0.19/0.47 # System time : 0.002 s
% 0.19/0.47 # Total time : 0.005 s
% 0.19/0.47 # Maximum resident set size: 1748 pages
% 0.19/0.47
% 0.19/0.47 # -------------------------------------------------
% 0.19/0.47 # User time : 0.005 s
% 0.19/0.47 # System time : 0.004 s
% 0.19/0.47 # Total time : 0.009 s
% 0.19/0.47 # Maximum resident set size: 1720 pages
% 0.19/0.47 % E---3.1 exiting
% 0.19/0.48 % E exiting
%------------------------------------------------------------------------------