TSTP Solution File: ITP330_1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ITP330_1 : TPTP v8.1.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 00:35:06 EDT 2022
% Result : Theorem 0.90s 1.11s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 12 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 59 ( 7 equ)
% Maximal formula atoms : 2 ( 4 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 44 ( 44 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 22 ( 20 usr; 12 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
tff(1,axiom,
! [X: 'A_m_vec$'] :
( ~ 'fun_app$'('uua$',X)
| ( 'sum$'('uu$'('SKOLEMAAAN1.M_a_fun$'(X)),'top$') = X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom0) ).
cnf(381,negated_conjecture,
~ 'thesis$',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture283) ).
tff(382,hypothesis,
! [X: 'M_a_fun$'] :
( ( 'sum$'('uu$'(X),'top$') != 'fun_app$ar'('f$','fun_app$a'('vec_nth$a'('cart_basis_Rn$'),'j$')) )
| 'thesis$' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis284) ).
tff(383,plain,
! [X: 'M_a_fun$'] : ( 'sum$'('uu$'(X),'top$') != 'fun_app$ar'('f$','fun_app$a'('vec_nth$a'('cart_basis_Rn$'),'j$')) ),
inference('REWRITE',[status(thm)],[382,381]) ).
tff(385,axiom,
'cart_basis_Rn$' = 'cart_basis$',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom286) ).
tff(386,axiom,
'top$b' = 'collect$'('uua$'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom287) ).
tff(419,axiom,
! [X: 'A_m_vec$'] : 'member$a'(X,'top$b'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom319) ).
tff(1058,axiom,
! [X: 'A_m_vec$',Y: 'A_m_vec_bool_fun$'] :
( ~ 'member$a'(X,'collect$'(Y))
| 'fun_app$'(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom520) ).
tff(1614,plain,
! [X: 'M_a_fun$'] : ( 'sum$'('uu$'(X),'top$') != 'fun_app$ar'('f$','fun_app$a'('vec_nth$a'('cart_basis$'),'j$')) ),
inference('REWRITE',[status(thm)],[383,385,theory(equality)]) ).
tff(1657,plain,
! [X: 'A_m_vec$'] : 'fun_app$'('uua$',X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1058,386,theory(equality)]),419]) ).
tff(1658,plain,
! [X: 'A_m_vec$'] : ( 'sum$'('uu$'('SKOLEMAAAN1.M_a_fun$'(X)),'top$') = X ),
inference('REWRITE',[status(thm)],[1,1657]) ).
cnf(1948,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[1614,1658]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : ITP330_1 : TPTP v8.1.0. Released v8.0.0.
% 0.05/0.10 % Command : run-snark %s %d
% 0.10/0.29 % Computer : n028.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Fri Jun 3 08:44:54 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.14/0.37 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38 *
% 0.14/0.38 *
% 0.14/0.38 #<PACKAGE "SNARK-USER">
% 0.14/0.38 *
% 0.14/0.38 SNARK-TPTP-OPTIONS
% 0.14/0.38 *
% 0.14/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.38 (USE-FACTORING :POS)
% 0.14/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.38 *
% 0.14/0.38 "."
% 0.14/0.38 *
% 0.14/0.38 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T08:44:54
% 0.14/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-03T08:44:54
% 0.38/0.62 WARNING:
% 0.38/0.62 |inj_on$d| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.38/0.62 WARNING:
% 0.38/0.62 |inj_on$f| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.38/0.62 WARNING:
% 0.38/0.62 |inj_on$e| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.62 WARNING:
% 0.38/0.62 |inj_on$g| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.62 WARNING:
% 0.38/0.62 |inj_on$a| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.62 WARNING:
% 0.38/0.62 |inj_on$h| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.62 WARNING:
% 0.38/0.62 |inj_on$| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.62 WARNING:
% 0.38/0.62 DECLARE-PROPOSITION is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.62 WARNING:
% 0.38/0.62 |inj_on$b| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.63 WARNING:
% 0.38/0.63 |inj_on$c| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.11
% 0.90/1.11
% 0.90/1.11 #||
% 0.90/1.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.90/1.11 % SZS output start Refutation
% See solution above
% 0.90/1.12 ||#
% 0.90/1.12
% 0.90/1.12 ; Summary of computation:
% 0.90/1.12 ; 3494 formulas have been input or derived (from 383 formulas).
% 0.90/1.12 ; 1948 (56%) were retained. Of these,
% 0.90/1.12 ; 342 (18%) were simplified or subsumed later,
% 0.90/1.12 ; 1606 (82%) are still being kept.
% 0.90/1.12 ;
% 0.90/1.12 ; Run time in seconds excluding printing time:
% 0.90/1.12 ; 0.196 27% Read assertion file (1 call)
% 0.90/1.12 ; 0.028 4% Assert (923 calls)
% 0.90/1.12 ; 0.149 21% Process new row (2,878 calls)
% 0.90/1.12 ; 0.068 9% Resolution (764 calls)
% 0.90/1.12 ; 0.007 1% Paramodulation (382 calls)
% 0.90/1.12 ; 0.000 0% Factoring (26 calls)
% 0.90/1.12 ; 0.018 2% Condensing (1,093 calls)
% 0.90/1.12 ; 0.048 7% Forward subsumption (1,093 calls)
% 0.90/1.12 ; 0.019 3% Backward subsumption (1,061 calls)
% 0.90/1.12 ; 0.002 0% Clause clause subsumption (94 calls)
% 0.90/1.12 ; 0.073 10% Forward simplification (2,779 calls)
% 0.90/1.12 ; 0.019 3% Backward simplification (1,887 calls)
% 0.90/1.12 ; 0.044 6% Ordering (4,887 calls)
% 0.90/1.12 ; 0.012 2% Sortal reasoning (13,279 calls)
% 0.90/1.12 ; 0.004 1% Purity testing (1 call)
% 0.90/1.12 ; 0.035 5% Other
% 0.90/1.12 ; 0.722 Total
% 0.90/1.12 ; 0.738 Real time
% 0.90/1.12 ;
% 0.90/1.12 ; Term-hash-array has 5,923 terms in all.
% 0.90/1.12 ; Feature-vector-row-index has 994 entries (994 at peak, 1,061 added, 67 deleted).
% 0.90/1.12 ; Feature-vector-row-index has 8,033 nodes (8,033 at peak, 8,418 added, 385 deleted).
% 0.90/1.12 ; Retrieved 319 possibly forward subsuming rows in 1,093 calls.
% 0.90/1.12 ; Retrieved 102 possibly backward subsumed rows in 1,061 calls.
% 0.90/1.12 ; Path-index has 5,394 entries (5,394 at peak, 6,228 added, 834 deleted).
% 0.90/1.12 ; Path-index has 23,217 nodes (23,217 at peak, 24,700 added, 1,483 deleted).
% 0.90/1.12 ; Trie-index has 5,394 entries (5,394 at peak, 6,228 added, 834 deleted).
% 0.90/1.12 ; Trie-index has 19,527 nodes (19,527 at peak, 23,537 added, 4,010 deleted).
% 0.90/1.12 ; Retrieved 1,912 generalization terms in 10,972 calls.
% 0.90/1.12 ; Retrieved 1,704 instance terms in 1,326 calls.
% 0.90/1.12 ; Retrieved 138,818 unifiable terms in 2,197 calls.
% 0.90/1.12 ;
% 0.90/1.12 ; The agenda of rows to process has 2 entries:
% 0.90/1.12 ; 1 with value 13 1 with value 19
% 0.90/1.12 ; The agenda of input rows to give has 1051 entries:
% 0.90/1.12 ; 7 with value 15 32 with value 29 30 with value 53
% 0.90/1.12 ; 54 with value 16 4 with value 30 10 with value 56
% 0.90/1.12 ; 181 with value 17 13 with value 31 20 with value 59
% 0.90/1.12 ; 37 with value 18 15 with value 32 50 with value 62
% 0.90/1.12 ; 48 with value 19 5 with value 33 40 with value 65
% 0.90/1.12 ; 22 with value 20 3 with value 34 40 with value 68
% 0.90/1.12 ; 39 with value 21 2 with value 40 40 with value 71
% 0.90/1.12 ; 33 with value 22 2 with value 41 60 with value 74
% 0.90/1.12 ; 25 with value 23 22 with value 42 20 with value 77
% 0.90/1.12 ; 26 with value 24 2 with value 43 20 with value 80
% 0.90/1.12 ; 29 with value 25 1 with value 47 20 with value 83
% 0.90/1.12 ; 10 with value 26 10 with value 48 10 with value 86
% 0.90/1.12 ; 16 with value 27 10 with value 50 10 with value 102
% 0.90/1.12 ; 23 with value 28 10 with value 51
% 0.90/1.12 ; The agenda of rows to give has 229 entries:
% 0.90/1.12 ; 3 with value (4 5) 25 with value (4 12) 21 with value (4 18)
% 0.90/1.12 ; 14 with value (4 7) 16 with value (4 13) 28 with value (4 19)
% 0.90/1.12 ; 13 with value (4 8) 14 with value (4 14) 5 with value (4 20)
% 0.90/1.12 ; 3 with value (4 9) 2 with value (4 15) 6 with value (4 21)
% 0.90/1.12 ; 2 with value (4 10) 38 with value (4 16) 6 with value (4 22)
% 0.90/1.12 ; 23 with value (4 11) 10 with value (4 17)
% 0.90/1.12 Evaluation took:
% 0.90/1.12 0.739 seconds of real time
% 0.90/1.12 0.686008 seconds of user run time
% 0.90/1.12 0.053384 seconds of system run time
% 0.90/1.12 [Run times include 0.06 seconds GC run time.]
% 0.90/1.12 0 calls to %EVAL
% 0.90/1.12 0 page faults and
% 0.90/1.12 63,977,824 bytes consed.
% 0.90/1.12 :PROOF-FOUND
% 0.90/1.12 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T08:44:55
% 0.90/1.12 :PROOF-FOUND
% 0.90/1.12 *
%------------------------------------------------------------------------------