TSTP Solution File: SYO516^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SYO516^1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n022.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 08:47:32 EDT 2024
% Result : Theorem 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 4 unt; 3 typ; 0 def)
% Number of atoms : 20 ( 6 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 38 ( 3 ~; 0 |; 1 &; 31 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 1 ^ 11 !; 4 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
r: $i > $i > $o ).
thf(decl_23,type,
esk1_1: $i > $i ).
thf(decl_24,type,
esk2_1: ( $i > $i ) > $i ).
thf(descr2,conjecture,
( ! [X1: $i] :
? [X2: $i] :
( ( r @ X1 )
= ( ^ [X3: $i] : ( X2 = X3 ) ) )
=> ? [X4: $i > $i] :
! [X1: $i] : ( r @ X1 @ ( X4 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',descr2) ).
thf(c_0_1,negated_conjecture,
~ ( ! [X1: $i] :
? [X2: $i] :
( ( r @ X1 )
= ( $eq @ X2 ) )
=> ? [X4: $i > $i] :
! [X1: $i] : ( r @ X1 @ ( X4 @ X1 ) ) ),
inference(fool_unroll,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[descr2])])]) ).
thf(c_0_2,negated_conjecture,
! [X9: $i,X11: $i > $i] :
( ( ( r @ X9 )
= ( $eq @ ( esk1_1 @ X9 ) ) )
& ~ ( r @ ( esk2_1 @ X11 ) @ ( X11 @ ( esk2_1 @ X11 ) ) ) ),
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: $i] :
( ( r @ X1 )
= ( $eq @ ( esk1_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X1: $i,X13: $i] :
( ( ( esk1_1 @ X1 )
= X13 )
<=> ( r @ X1 @ X13 ) ),
inference(arg_cong,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X4: $i > $i] :
~ ( r @ ( esk2_1 @ X4 ) @ ( X4 @ ( esk2_1 @ X4 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X1: $i] : ( r @ X1 @ ( esk1_1 @ X1 ) ),
inference(er,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_4])]) ).
thf(c_0_7,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_5,c_0_6]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SYO516^1 : TPTP v8.2.0. Released v4.1.0.
% 0.02/0.10 % Command : run_E %s %d THM
% 0.08/0.29 % Computer : n022.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Mon May 20 09:22:53 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.13/0.39 Running higher-order theorem proving
% 0.13/0.39 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
% 0.13/0.40 # Version: 3.1.0-ho
% 0.13/0.40 # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.13/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.40 # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.13/0.40 # Starting post_as_ho10 with 300s (1) cores
% 0.13/0.40 # Starting new_bool_9 with 300s (1) cores
% 0.13/0.40 # Starting sh5l with 300s (1) cores
% 0.13/0.40 # ehoh_best_nonlift_nonlambdatoforall with pid 11276 completed with status 0
% 0.13/0.40 # Result found by ehoh_best_nonlift_nonlambdatoforall
% 0.13/0.40 # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.13/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.40 # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.13/0.40 # No SInE strategy applied
% 0.13/0.40 # Search class: HUUSF-FFSF11-SSSFFFNN
% 0.13/0.40 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.40 # Starting new_ho_10 with 811s (1) cores
% 0.13/0.40 # Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 0.13/0.40 # Starting new_bool_1 with 136s (1) cores
% 0.13/0.40 # Starting new_bool_2 with 136s (1) cores
% 0.13/0.40 # Starting new_bool_9 with 136s (1) cores
% 0.13/0.40 # new_ho_10 with pid 11280 completed with status 0
% 0.13/0.40 # Result found by new_ho_10
% 0.13/0.40 # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.13/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.40 # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.13/0.40 # No SInE strategy applied
% 0.13/0.40 # Search class: HUUSF-FFSF11-SSSFFFNN
% 0.13/0.40 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.40 # Starting new_ho_10 with 811s (1) cores
% 0.13/0.40 # Preprocessing time : 0.001 s
% 0.13/0.40 # Presaturation interreduction done
% 0.13/0.40
% 0.13/0.40 # Proof found!
% 0.13/0.40 # SZS status Theorem
% 0.13/0.40 # SZS output start CNFRefutation
% See solution above
% 0.13/0.40 # Parsed axioms : 2
% 0.13/0.40 # Removed by relevancy pruning/SinE : 0
% 0.13/0.40 # Initial clauses : 3
% 0.13/0.40 # Removed in clause preprocessing : 1
% 0.13/0.40 # Initial clauses in saturation : 2
% 0.13/0.40 # Processed clauses : 7
% 0.13/0.40 # ...of these trivial : 0
% 0.13/0.40 # ...subsumed : 0
% 0.13/0.40 # ...remaining for further processing : 7
% 0.13/0.40 # Other redundant clauses eliminated : 1
% 0.13/0.40 # Clauses deleted for lack of memory : 0
% 0.13/0.40 # Backward-subsumed : 0
% 0.13/0.40 # Backward-rewritten : 0
% 0.13/0.40 # Generated clauses : 5
% 0.13/0.40 # ...of the previous two non-redundant : 3
% 0.13/0.40 # ...aggressively subsumed : 0
% 0.13/0.40 # Contextual simplify-reflections : 0
% 0.13/0.40 # Paramodulations : 1
% 0.13/0.40 # Factorizations : 0
% 0.13/0.40 # NegExts : 0
% 0.13/0.40 # Equation resolutions : 1
% 0.13/0.40 # Disequality decompositions : 0
% 0.13/0.40 # Total rewrite steps : 0
% 0.13/0.40 # ...of those cached : 0
% 0.13/0.40 # Propositional unsat checks : 0
% 0.13/0.40 # Propositional check models : 0
% 0.13/0.40 # Propositional check unsatisfiable : 0
% 0.13/0.40 # Propositional clauses : 0
% 0.13/0.40 # Propositional clauses after purity: 0
% 0.13/0.40 # Propositional unsat core size : 0
% 0.13/0.40 # Propositional preprocessing time : 0.000
% 0.13/0.40 # Propositional encoding time : 0.000
% 0.13/0.40 # Propositional solver time : 0.000
% 0.13/0.40 # Success case prop preproc time : 0.000
% 0.13/0.40 # Success case prop encoding time : 0.000
% 0.13/0.40 # Success case prop solver time : 0.000
% 0.13/0.40 # Current number of processed clauses : 4
% 0.13/0.40 # Positive orientable unit clauses : 2
% 0.13/0.40 # Positive unorientable unit clauses: 0
% 0.13/0.40 # Negative unit clauses : 1
% 0.13/0.40 # Non-unit-clauses : 1
% 0.13/0.40 # Current number of unprocessed clauses: 0
% 0.13/0.40 # ...number of literals in the above : 0
% 0.13/0.40 # Current number of archived formulas : 0
% 0.13/0.40 # Current number of archived clauses : 3
% 0.13/0.40 # Clause-clause subsumption calls (NU) : 0
% 0.13/0.40 # Rec. Clause-clause subsumption calls : 0
% 0.13/0.40 # Non-unit clause-clause subsumptions : 0
% 0.13/0.40 # Unit Clause-clause subsumption calls : 0
% 0.13/0.40 # Rewrite failures with RHS unbound : 0
% 0.13/0.40 # BW rewrite match attempts : 0
% 0.13/0.40 # BW rewrite match successes : 0
% 0.13/0.40 # Condensation attempts : 7
% 0.13/0.40 # Condensation successes : 0
% 0.13/0.40 # Termbank termtop insertions : 286
% 0.13/0.40 # Search garbage collected termcells : 67
% 0.13/0.40
% 0.13/0.40 # -------------------------------------------------
% 0.13/0.40 # User time : 0.004 s
% 0.13/0.40 # System time : 0.000 s
% 0.13/0.40 # Total time : 0.004 s
% 0.13/0.40 # Maximum resident set size: 1724 pages
% 0.13/0.40
% 0.13/0.40 # -------------------------------------------------
% 0.13/0.40 # User time : 0.010 s
% 0.13/0.40 # System time : 0.003 s
% 0.13/0.40 # Total time : 0.013 s
% 0.13/0.40 # Maximum resident set size: 1716 pages
% 0.13/0.40 % E---3.1 exiting
% 0.13/0.40 % E exiting
%------------------------------------------------------------------------------