%------------------------------------------------------------------------------
% 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 : n027.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 00:35:02 EDT 2022
% Result : Theorem 0.52s 0.69s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 4 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 1 equ)
% Maximal formula atoms : 2 ( 6 avg)
% Number of connectives : 4 ( 3 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 19 ( 19 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(7,negated_conjecture,
( ~ 'fun_app$c'('member$a'('y$'),'a$')
| ( 'fun_app$e'('implode$','fun_app$f'('f$','y$')) != 'fun_app$e'('implode$','fun_app$f'('f$','y$')) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture3) ).
tff(8,plain,
~ 'fun_app$c'('member$a'('y$'),'a$'),
inference('REWRITE',[status(thm)],[7,theory(equality)]) ).
tff(9,axiom,
'fun_app$c'('member$a'('y$'),'a$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom4) ).
cnf(10,plain,
$false,
inference('REWRITE',[status(thm)],[9,8]) ).
%------------------------------------------------------------------------------
%----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 : n027.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 : Fri Jun 3 16:57:36 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 2022-06-03T16:57:36
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-03T16:57:36
% 0.47/0.67 WARNING:
% 0.47/0.67 |bijection$| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |strict_mono$c| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |member$e| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |strict_mono_on$b| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |strict_mono_on$a| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |bijection$a| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |strict_mono_on$c| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |strict_mono$b| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |strict_mono$a| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |member$d| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |inj_on$| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.67 WARNING:
% 0.47/0.67 |strict_mono_on$| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.52/0.69
% 0.52/0.69
% 0.52/0.69 #||
% 0.52/0.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.52/0.69 % SZS output start Refutation
% See solution above
% 0.52/0.69 ||#
% 0.52/0.69
% 0.52/0.69 ; Summary of computation:
% 0.52/0.69 ; 1127 formulas have been input or derived (from 1 formulas).
% 0.52/0.69 ; 10 ( 1%) were retained. Of these,
% 0.52/0.69 ; 2 (20%) were simplified or subsumed later,
% 0.52/0.69 ; 8 (80%) are still being kept.
% 0.52/0.69 ;
% 0.52/0.69 ; Run time in seconds excluding printing time:
% 0.52/0.69 ; 0.166 75% Read assertion file (1 call)
% 0.52/0.69 ; 0.023 10% Assert (646 calls)
% 0.52/0.69 ; 0.001 0% Process new row (8 calls)
% 0.52/0.69 ; 0.000 0% Condensing (6 calls)
% 0.52/0.69 ; 0.000 0% Forward subsumption (6 calls)
% 0.52/0.69 ; 0.000 0% Backward subsumption (6 calls)
% 0.52/0.69 ; 0.000 0% Forward simplification (8 calls)
% 0.52/0.69 ; 0.000 0% Backward simplification (8 calls)
% 0.52/0.69 ; 0.000 0% Sortal reasoning (135 calls)
% 0.52/0.69 ; 0.003 1% Purity testing (1 call)
% 0.52/0.69 ; 0.027 12% Other
% 0.52/0.69 ; 0.220 Total
% 0.52/0.69 ; 0.220 Real time
% 0.52/0.69 ;
% 0.52/0.69 ; Term-hash-array has 14 terms in all.
% 0.52/0.69 ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.52/0.69 ; Feature-vector-row-index has 25 nodes (25 at peak, 25 added, 0 deleted).
% 0.52/0.69 ; Retrieved 0 possibly forward subsuming rows in 6 calls.
% 0.52/0.69 ; Retrieved 0 possibly backward subsumed rows in 6 calls.
% 0.52/0.69 ; Path-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 0.52/0.69 ; Path-index has 52 nodes (52 at peak, 52 added, 0 deleted).
% 0.52/0.69 ; Trie-index has 18 entries (18 at peak, 18 added, 0 deleted).
% 0.52/0.69 ; Trie-index has 43 nodes (43 at peak, 43 added, 0 deleted).
% 0.52/0.69 ; Retrieved 1 generalization term in 1 call.
% 0.52/0.69 ; Retrieved 1 instance term in 1 call.
% 0.52/0.69 ;
% 0.52/0.69 ; The agenda of input rows to process has 1117 entries:
% 0.52/0.69 ; 1117 with value 0
% 0.52/0.69 ; The agenda of input rows to give has 7 entries:
% 0.52/0.69 ; 1 with value 6 6 with value 12
% 0.52/0.69 Evaluation took:
% 0.52/0.69 0.221 seconds of real time
% 0.52/0.69 0.215252 seconds of user run time
% 0.52/0.69 0.005736 seconds of system run time
% 0.52/0.69 [Run times include 0.006 seconds GC run time.]
% 0.52/0.69 0 calls to %EVAL
% 0.52/0.69 0 page faults and
% 0.52/0.69 13,432,728 bytes consed.
% 0.52/0.69 :PROOF-FOUND
% 0.52/0.69 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T16:57:36
% 0.52/0.69 :PROOF-FOUND
% 0.52/0.69 *
%------------------------------------------------------------------------------