TSTP Solution File: NUM695^1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NUM695^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 01:15:39 EDT 2024
% Result : Theorem 0.18s 0.46s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 18 ( 12 unt; 6 typ; 0 def)
% Number of atoms : 12 ( 3 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 39 ( 3 ~; 0 |; 0 &; 36 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 ^ 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
nat: $tType ).
thf(decl_22,type,
x: nat ).
thf(decl_23,type,
more: nat > nat > $o ).
thf(decl_24,type,
suc: nat > nat ).
thf(decl_25,type,
n_1: nat ).
thf(decl_26,type,
pl: nat > nat > nat ).
thf(satz24b,conjecture,
more @ ( suc @ x ) @ n_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz24b) ).
thf(satz18,axiom,
! [X2: nat,X4: nat] : ( more @ ( pl @ X2 @ X4 ) @ X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz18) ).
thf(satz4g,axiom,
! [X2: nat] :
( ( suc @ X2 )
= ( pl @ n_1 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz4g) ).
thf(c_0_3,negated_conjecture,
~ ( more @ ( suc @ x ) @ n_1 ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz24b])]) ).
thf(c_0_4,plain,
! [X15: nat,X16: nat] : ( more @ ( pl @ X15 @ X16 ) @ X15 ),
inference(variable_rename,[status(thm)],[satz18]) ).
thf(c_0_5,plain,
! [X17: nat] :
( ( suc @ X17 )
= ( pl @ n_1 @ X17 ) ),
inference(variable_rename,[status(thm)],[satz4g]) ).
thf(c_0_6,negated_conjecture,
~ ( more @ ( suc @ x ) @ n_1 ),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
thf(c_0_7,plain,
! [X3: nat,X2: nat] : ( more @ ( pl @ X2 @ X3 ) @ X2 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_8,plain,
! [X2: nat] :
( ( suc @ X2 )
= ( pl @ n_1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,negated_conjecture,
~ ( more @ ( suc @ x ) @ n_1 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
! [X2: nat] : ( more @ ( suc @ X2 ) @ n_1 ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM695^1 : TPTP v8.2.0. Released v3.7.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n012.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 : Mon May 20 07:16:52 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running higher-order theorem proving
% 0.18/0.45 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
% 0.18/0.46 # Version: 3.1.0-ho
% 0.18/0.46 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.18/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46 # Starting new_ho_10 with 1500s (5) cores
% 0.18/0.46 # Starting ho_unfolding_6 with 300s (1) cores
% 0.18/0.46 # Starting sh4l with 300s (1) cores
% 0.18/0.46 # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.18/0.46 # ehoh_best_nonlift_rwall with pid 21450 completed with status 0
% 0.18/0.46 # Result found by ehoh_best_nonlift_rwall
% 0.18/0.46 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.18/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46 # Starting new_ho_10 with 1500s (5) cores
% 0.18/0.46 # Starting ho_unfolding_6 with 300s (1) cores
% 0.18/0.46 # Starting sh4l with 300s (1) cores
% 0.18/0.46 # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.18/0.46 # No SInE strategy applied
% 0.18/0.46 # Search class: HGUSS-FFSF21-SFFFFFNN
% 0.18/0.46 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.46 # Starting new_ho_10 with 163s (1) cores
% 0.18/0.46 # new_ho_10 with pid 21451 completed with status 0
% 0.18/0.46 # Result found by new_ho_10
% 0.18/0.46 # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.18/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46 # Starting new_ho_10 with 1500s (5) cores
% 0.18/0.46 # Starting ho_unfolding_6 with 300s (1) cores
% 0.18/0.46 # Starting sh4l with 300s (1) cores
% 0.18/0.46 # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.18/0.46 # No SInE strategy applied
% 0.18/0.46 # Search class: HGUSS-FFSF21-SFFFFFNN
% 0.18/0.46 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.46 # Starting new_ho_10 with 163s (1) cores
% 0.18/0.46 # Preprocessing time : 0.001 s
% 0.18/0.46 # Presaturation interreduction done
% 0.18/0.46
% 0.18/0.46 # Proof found!
% 0.18/0.46 # SZS status Theorem
% 0.18/0.46 # SZS output start CNFRefutation
% See solution above
% 0.18/0.46 # Parsed axioms : 12
% 0.18/0.46 # Removed by relevancy pruning/SinE : 0
% 0.18/0.46 # Initial clauses : 12
% 0.18/0.46 # Removed in clause preprocessing : 7
% 0.18/0.46 # Initial clauses in saturation : 5
% 0.18/0.46 # Processed clauses : 11
% 0.18/0.46 # ...of these trivial : 0
% 0.18/0.46 # ...subsumed : 0
% 0.18/0.46 # ...remaining for further processing : 11
% 0.18/0.46 # Other redundant clauses eliminated : 0
% 0.18/0.46 # Clauses deleted for lack of memory : 0
% 0.18/0.46 # Backward-subsumed : 0
% 0.18/0.46 # Backward-rewritten : 1
% 0.18/0.46 # Generated clauses : 3
% 0.18/0.46 # ...of the previous two non-redundant : 2
% 0.18/0.46 # ...aggressively subsumed : 0
% 0.18/0.46 # Contextual simplify-reflections : 0
% 0.18/0.46 # Paramodulations : 1
% 0.18/0.46 # Factorizations : 0
% 0.18/0.46 # NegExts : 0
% 0.18/0.46 # Equation resolutions : 0
% 0.18/0.46 # Disequality decompositions : 0
% 0.18/0.46 # Total rewrite steps : 2
% 0.18/0.46 # ...of those cached : 0
% 0.18/0.46 # Propositional unsat checks : 0
% 0.18/0.46 # Propositional check models : 0
% 0.18/0.46 # Propositional check unsatisfiable : 0
% 0.18/0.46 # Propositional clauses : 0
% 0.18/0.46 # Propositional clauses after purity: 0
% 0.18/0.46 # Propositional unsat core size : 0
% 0.18/0.46 # Propositional preprocessing time : 0.000
% 0.18/0.46 # Propositional encoding time : 0.000
% 0.18/0.46 # Propositional solver time : 0.000
% 0.18/0.46 # Success case prop preproc time : 0.000
% 0.18/0.46 # Success case prop encoding time : 0.000
% 0.18/0.46 # Success case prop solver time : 0.000
% 0.18/0.46 # Current number of processed clauses : 5
% 0.18/0.46 # Positive orientable unit clauses : 4
% 0.18/0.46 # Positive unorientable unit clauses: 0
% 0.18/0.46 # Negative unit clauses : 1
% 0.18/0.46 # Non-unit-clauses : 0
% 0.18/0.46 # Current number of unprocessed clauses: 1
% 0.18/0.46 # ...number of literals in the above : 2
% 0.18/0.46 # Current number of archived formulas : 0
% 0.18/0.46 # Current number of archived clauses : 6
% 0.18/0.46 # Clause-clause subsumption calls (NU) : 0
% 0.18/0.46 # Rec. Clause-clause subsumption calls : 0
% 0.18/0.46 # Non-unit clause-clause subsumptions : 0
% 0.18/0.46 # Unit Clause-clause subsumption calls : 2
% 0.18/0.46 # Rewrite failures with RHS unbound : 0
% 0.18/0.46 # BW rewrite match attempts : 1
% 0.18/0.46 # BW rewrite match successes : 1
% 0.18/0.46 # Condensation attempts : 11
% 0.18/0.46 # Condensation successes : 0
% 0.18/0.46 # Termbank termtop insertions : 353
% 0.18/0.46 # Search garbage collected termcells : 60
% 0.18/0.46
% 0.18/0.46 # -------------------------------------------------
% 0.18/0.46 # User time : 0.004 s
% 0.18/0.46 # System time : 0.000 s
% 0.18/0.46 # Total time : 0.004 s
% 0.18/0.46 # Maximum resident set size: 1604 pages
% 0.18/0.46
% 0.18/0.46 # -------------------------------------------------
% 0.18/0.46 # User time : 0.005 s
% 0.18/0.46 # System time : 0.001 s
% 0.18/0.46 # Total time : 0.007 s
% 0.18/0.46 # Maximum resident set size: 1716 pages
% 0.18/0.46 % E---3.1 exiting
% 0.18/0.46 % E exiting
%------------------------------------------------------------------------------