%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% 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 : 600s
% DateTime : Sun Jul 17 00:35:15 EDT 2022
% Result : Theorem 0.54s 0.72s
% Output : Refutation 0.54s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')
% Comments :
%------------------------------------------------------------------------------
tff(11,negated_conjecture,
'heronConf_interpretation$'('pair$'('gamma$','pair$a'('n$','pair$b'('fun_app$e'('cons$'('strictlyPrecedes$'('k_1$','k_2$')),'psi$'),'phi$')))) != 'fun_app$f'('fun_app$g'('inf$','fun_app$f'('fun_app$g'('inf$','symbolic_run_interpretation$'('gamma$')),'tESL_interpretation_stepwise$'('fun_app$e'('cons$'('strictlyPrecedes$'('k_1$','k_2$')),'psi$'),'n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$h'('of_nat$','n$'),1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture5) ).
tff(12,plain,
'heronConf_interpretation$'('pair$'('gamma$','pair$a'('n$','pair$b'('fun_app$e'('cons$'('strictlyPrecedes$'('k_1$','k_2$')),'psi$'),'phi$')))) != 'fun_app$f'('fun_app$g'('inf$','fun_app$f'('fun_app$g'('inf$','symbolic_run_interpretation$'('gamma$')),'tESL_interpretation_stepwise$'('fun_app$e'('cons$'('strictlyPrecedes$'('k_1$','k_2$')),'psi$'),'n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum(1,'fun_app$h'('of_nat$','n$'))))),
inference('REWRITE',[status(thm)],[11,'CODE-FOR-$$SUM']) ).
tff(17,axiom,
! [X: 'A_constr_list$',Y: 'Nat$',Z: 'A_TESL_atomic_list$',U: 'A_TESL_atomic_list$'] : ( 'heronConf_interpretation$'('pair$'(X,'pair$a'(Y,'pair$b'(Z,U)))) = 'fun_app$f'('fun_app$g'('inf$','fun_app$f'('fun_app$g'('inf$','symbolic_run_interpretation$'(X)),'tESL_interpretation_stepwise$'(Z,Y))),'tESL_interpretation_stepwise$'(U,'nat$'($sum('fun_app$h'('of_nat$',Y),1)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom8) ).
tff(18,plain,
! [X: 'A_constr_list$',Y: 'Nat$',Z: 'A_TESL_atomic_list$',U: 'A_TESL_atomic_list$'] : ( 'heronConf_interpretation$'('pair$'(X,'pair$a'(Y,'pair$b'(Z,U)))) = 'fun_app$f'('fun_app$g'('inf$','fun_app$f'('fun_app$g'('inf$','symbolic_run_interpretation$'(X)),'tESL_interpretation_stepwise$'(Z,Y))),'tESL_interpretation_stepwise$'(U,'nat$'($sum(1,'fun_app$h'('of_nat$',Y))))) ),
inference('REWRITE',[status(thm)],[17,'CODE-FOR-$$SUM']) ).
cnf(19,plain,
$false,
inference('REWRITE',[status(thm)],[12,18,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 2 14:17:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T14:17:07
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-02T14:17:07
% 0.54/0.71 WARNING:
% 0.54/0.71 |less_eq$b| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71 WARNING:
% 0.54/0.71 |irrefl$| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71 WARNING:
% 0.54/0.71 |member$j| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.54/0.71 WARNING:
% 0.54/0.71 |less_eq$a| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.71 WARNING:
% 0.54/0.71 |less_eq$e| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.71 WARNING:
% 0.54/0.71 |less_eq$d| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.71 WARNING:
% 0.54/0.71 |less_eq$c| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72
% 0.54/0.72
% 0.54/0.72 #||
% 0.54/0.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.72 % SZS output start Refutation
% See solution above
% 0.54/0.73 ||#
% 0.54/0.73
% 0.54/0.73 ; Summary of computation:
% 0.54/0.73 ; 1154 formulas have been input or derived (from 1 formulas).
% 0.54/0.73 ; 19 ( 2%) were retained. Of these,
% 0.54/0.73 ; 5 (26%) were simplified or subsumed later,
% 0.54/0.73 ; 14 (74%) are still being kept.
% 0.54/0.73 ;
% 0.54/0.73 ; Run time in seconds excluding printing time:
% 0.54/0.73 ; 0.190 75% Read assertion file (1 call)
% 0.54/0.73 ; 0.039 15% Assert (632 calls)
% 0.54/0.73 ; 0.002 1% Process new row (16 calls)
% 0.54/0.73 ; 0.000 0% Condensing (12 calls)
% 0.54/0.73 ; 0.000 0% Forward subsumption (12 calls)
% 0.54/0.73 ; 0.000 0% Backward subsumption (12 calls)
% 0.54/0.73 ; 0.000 0% Forward simplification (16 calls)
% 0.54/0.73 ; 0.000 0% Backward simplification (16 calls)
% 0.54/0.73 ; 0.001 0% Ordering (6 calls)
% 0.54/0.73 ; 0.001 0% Sortal reasoning (554 calls)
% 0.54/0.73 ; 0.003 1% Purity testing (1 call)
% 0.54/0.73 ; 0.018 7% Other
% 0.54/0.73 ; 0.254 Total
% 0.54/0.73 ; 0.255 Real time
% 0.54/0.73 ;
% 0.54/0.73 ; Term-hash-array has 77 terms in all.
% 0.54/0.73 ; Feature-vector-row-index has 11 entries (12 at peak, 12 added, 1 deleted).
% 0.54/0.73 ; Feature-vector-row-index has 45 nodes (75 at peak, 75 added, 30 deleted).
% 0.54/0.73 ; Retrieved 0 possibly forward subsuming rows in 12 calls.
% 0.54/0.73 ; Retrieved 0 possibly backward subsumed rows in 12 calls.
% 0.54/0.73 ; Path-index has 50 entries (86 at peak, 86 added, 36 deleted).
% 0.54/0.73 ; Path-index has 539 nodes (665 at peak, 665 added, 126 deleted).
% 0.54/0.73 ; Trie-index has 50 entries (86 at peak, 86 added, 36 deleted).
% 0.54/0.73 ; Trie-index has 240 nodes (452 at peak, 452 added, 212 deleted).
% 0.54/0.73 ; Retrieved 0 generalization terms in 9 calls.
% 0.54/0.73 ; Retrieved 7 instance terms in 5 calls.
% 0.54/0.73 ;
% 0.54/0.73 ; The agenda of input rows to process has 1134 entries:
% 0.54/0.73 ; 1134 with value 0
% 0.54/0.73 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.54/0.73 ; 1 with value 0
% 0.54/0.73 ; The agenda of input rows to give has 13 entries:
% 0.54/0.73 ; 10 with value 10 1 with value 28 1 with value 34
% 0.54/0.73 ; 1 with value 18
% 0.54/0.73 Evaluation took:
% 0.54/0.73 0.255 seconds of real time
% 0.54/0.73 0.237077 seconds of user run time
% 0.54/0.73 0.018739 seconds of system run time
% 0.54/0.73 [Run times include 0.005 seconds GC run time.]
% 0.54/0.73 0 calls to %EVAL
% 0.54/0.73 0 page faults and
% 0.54/0.73 18,064,656 bytes consed.
% 0.54/0.73 :PROOF-FOUND
% 0.54/0.73 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T14:17:07
% 0.54/0.73 :PROOF-FOUND
% 0.54/0.73 *
%------------------------------------------------------------------------------