%------------------------------------------------------------------------------
% 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 : n024.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 00:35:03 EDT 2022
% Result : Theorem 0.51s 0.75s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 7
% Syntax : Number of formulae : 8 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 86 ( 5 equ)
% Maximal formula atoms : 1 ( 10 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 78 ( 78 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 7 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(60,negated_conjecture,
~ 'fun_app$b'('mapsTo$a'('set$','fun_app$n'('mapM$'('homFtor$'('c$','x$')),'f$'),'mapO$'('homFtor$'('c$','x$'),'z$')),'mapO$'('homFtor$'('c$','x$'),'y$')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture30) ).
tff(61,axiom,
'fun_app$q'('dom$'('c$'),'f$') = 'z$',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom31) ).
tff(62,axiom,
'fun_app$q'('cod$'('c$'),'f$') = 'y$',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom32) ).
tff(64,axiom,
'mapO$'('homFtor$'('c$','x$'),'y$') = 'homSet$'('c$','x$','y$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom34) ).
tff(65,axiom,
'mapO$'('homFtor$'('c$','x$'),'z$') = 'homSet$'('c$','x$','z$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom35) ).
tff(66,axiom,
'fun_app$n'('mapM$'('homFtor$'('c$','x$')),'f$') = 'fun_app$n'('homFtorMap$'('c$','x$'),'f$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom36) ).
tff(67,axiom,
'fun_app$b'('mapsTo$a'('set$','fun_app$n'('homFtorMap$'('c$','x$'),'f$'),'homSet$'('c$','x$','fun_app$q'('dom$'('c$'),'f$'))),'homSet$'('c$','x$','fun_app$q'('cod$'('c$'),'f$'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom37) ).
cnf(68,plain,
$false,
inference('REWRITE',[status(thm)],[67,60,64,62,65,61,66,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 : n024.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 12:49:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T12:49:06
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-02T12:49:06
% 0.51/0.73 WARNING:
% 0.51/0.73 |functor_comp_def$c| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.73 WARNING:
% 0.51/0.73 |functor_comp_def$| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.73 WARNING:
% 0.51/0.73 |functor$| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.73 WARNING:
% 0.51/0.73 |functor_comp_def$a| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.73 WARNING:
% 0.51/0.73 |functor_comp_def$d| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.73 WARNING:
% 0.51/0.73 |functor_comp_def$b| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.73 WARNING:
% 0.51/0.73 |functor_abbrev$c| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.73 WARNING:
% 0.51/0.73 |functor_comp_def$g| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.73 WARNING:
% 0.51/0.73 |functor_abbrev$| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.73 WARNING:
% 0.51/0.73 |functor_abbrev$b| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.73 WARNING:
% 0.51/0.73 |equivalence$| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.73 WARNING:
% 0.51/0.73 |set_like$| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.73 WARNING:
% 0.51/0.73 |functor_comp_def$e| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.73 WARNING:
% 0.51/0.73 |functor_comp_def$f| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.73 WARNING:
% 0.51/0.73 |functor_abbrev$a| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.51/0.73 WARNING:
% 0.51/0.73 |functor$b| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.73 WARNING:
% 0.51/0.73 |functor$a| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.73 WARNING:
% 0.51/0.73 |functor$c| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.51/0.75
% 0.51/0.75
% 0.51/0.75 #||
% 0.51/0.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.75 % SZS output start Refutation
% See solution above
% 0.51/0.75 ||#
% 0.51/0.75
% 0.51/0.75 ; Summary of computation:
% 0.51/0.75 ; 2160 formulas have been input or derived (from 1 formulas).
% 0.57/0.75 ; 68 ( 3%) were retained. Of these,
% 0.57/0.75 ; 1 ( 1%) were simplified or subsumed later,
% 0.57/0.75 ; 67 (99%) are still being kept.
% 0.57/0.75 ;
% 0.57/0.75 ; Run time in seconds excluding printing time:
% 0.57/0.75 ; 0.179 69% Read assertion file (1 call)
% 0.57/0.75 ; 0.044 17% Assert (557 calls)
% 0.57/0.75 ; 0.003 1% Process new row (67 calls)
% 0.57/0.75 ; 0.000 0% Condensing (50 calls)
% 0.57/0.75 ; 0.002 1% Forward subsumption (50 calls)
% 0.57/0.75 ; 0.000 0% Backward subsumption (50 calls)
% 0.57/0.75 ; 0.000 0% Clause clause subsumption (1 call)
% 0.57/0.75 ; 0.001 0% Forward simplification (67 calls)
% 0.57/0.75 ; 0.000 0% Backward simplification (67 calls)
% 0.57/0.75 ; 0.000 0% Ordering (26 calls)
% 0.57/0.75 ; 0.000 0% Sortal reasoning (95 calls)
% 0.57/0.75 ; 0.010 4% Purity testing (1 call)
% 0.57/0.75 ; 0.022 8% Other
% 0.57/0.75 ; 0.261 Total
% 0.57/0.75 ; 0.281 Real time
% 0.57/0.75 ;
% 0.57/0.75 ; Term-hash-array has 203 terms in all.
% 0.57/0.75 ; Feature-vector-row-index has 50 entries (50 at peak, 50 added, 0 deleted).
% 0.57/0.75 ; Feature-vector-row-index has 225 nodes (225 at peak, 225 added, 0 deleted).
% 0.57/0.75 ; Retrieved 0 possibly forward subsuming rows in 50 calls.
% 0.57/0.75 ; Retrieved 2 possibly backward subsumed rows in 50 calls.
% 0.57/0.75 ; Path-index has 216 entries (216 at peak, 216 added, 0 deleted).
% 0.57/0.75 ; Path-index has 1,008 nodes (1,008 at peak, 1,008 added, 0 deleted).
% 0.57/0.75 ; Trie-index has 216 entries (216 at peak, 216 added, 0 deleted).
% 0.57/0.75 ; Trie-index has 790 nodes (790 at peak, 790 added, 0 deleted).
% 0.57/0.75 ; Retrieved 7 generalization terms in 41 calls.
% 0.57/0.75 ; Retrieved 24 instance terms in 24 calls.
% 0.57/0.75 ;
% 0.57/0.75 ; The agenda of input rows to process has 2092 entries:
% 0.57/0.75 ; 2092 with value 0
% 0.57/0.75 ; The agenda of input rows to give has 66 entries:
% 0.57/0.75 ; 1 with value 3 5 with value 13 3 with value 20
% 0.57/0.75 ; 1 with value 4 2 with value 14 4 with value 21
% 0.57/0.75 ; 1 with value 7 1 with value 15 2 with value 22
% 0.57/0.75 ; 2 with value 9 3 with value 16 3 with value 24
% 0.57/0.75 ; 19 with value 10 5 with value 17 1 with value 25
% 0.57/0.75 ; 1 with value 11 4 with value 18 1 with value 26
% 0.57/0.75 ; 4 with value 12 2 with value 19 1 with value 35
% 0.57/0.75 Evaluation took:
% 0.57/0.75 0.281 seconds of real time
% 0.57/0.75 0.254303 seconds of user run time
% 0.57/0.75 0.008831 seconds of system run time
% 0.57/0.75 [Run times include 0.005 seconds GC run time.]
% 0.57/0.75 0 calls to %EVAL
% 0.57/0.75 0 page faults and
% 0.57/0.75 19,076,608 bytes consed.
% 0.57/0.75 :PROOF-FOUND
% 0.57/0.75 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T12:49:06
% 0.57/0.75 :PROOF-FOUND
% 0.57/0.75 *
%------------------------------------------------------------------------------