TSTP Solution File: ITP345_1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% 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 : n019.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 00:35:08 EDT 2022
% Result : Theorem 1.09s 1.32s
% Output : Refutation 1.09s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$LESS')
% Comments :
%------------------------------------------------------------------------------
tff(25,negated_conjecture,
( 'fun_app$d'('finite$','solution_set$'('a$','zero$'))
| ~ $less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'('a$','zero$')))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture6) ).
tff(26,negated_conjecture,
( ~ 'fun_app$d'('finite$','solution_set$'('a$','zero$'))
| $less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'('a$','zero$')))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture6) ).
tff(30,axiom,
! [X: 'A_n_vec_rows_vec$'] :
( ~ $less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'(X,'zero$'))))
| ~ 'fun_app$d'('finite$','solution_set$'(X,'zero$')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom10) ).
tff(32,axiom,
! [X: 'A_n_vec_rows_vec$'] :
( 'fun_app$d'('finite$','solution_set$'(X,'zero$'))
| $less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'(X,'zero$')))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom12) ).
tff(49,axiom,
! [X: 'Nat$'] :
( ( 'fun_app$j'('of_nat$',X) = 0 )
| $less(0,'fun_app$j'('of_nat$',X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom27) ).
tff(80,axiom,
! [X: 'A_n_vec_rows_vec$'] : ( 'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'solution_set$'(X,'zero$'))) = 'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'null_space$a'(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom60) ).
tff(116,axiom,
! [X: 'A_n_vec_rows_vec$'] : ( 'null_space$a'(X) = 'solution_set$'(X,'zero$') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom90) ).
tff(799,plain,
! [X: 'A_n_vec_rows_vec$'] :
( ~ $less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'null_space$a'(X))))
| ~ 'fun_app$d'('finite$','null_space$a'(X)) ),
inference('REWRITE',[status(thm)],[30,116,80,theory(equality)]) ).
tff(800,plain,
! [X: 'A_n_vec_rows_vec$'] :
( 'fun_app$d'('finite$','null_space$a'(X))
| $less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'null_space$a'(X)))) ),
inference('REWRITE',[status(thm)],[32,116,80,theory(equality)]) ).
tff(801,plain,
( 'fun_app$d'('finite$','null_space$a'('a$'))
| ~ $less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'null_space$a'('a$')))) ),
inference('REWRITE',[status(thm)],[25,116,80,theory(equality)]) ).
tff(802,plain,
( ~ 'fun_app$d'('finite$','null_space$a'('a$'))
| $less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'null_space$a'('a$')))) ),
inference('REWRITE',[status(thm)],[26,116,80,theory(equality)]) ).
tff(2055,plain,
$less(0,'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'null_space$a'('a$')))),
inference('HYPERRESOLVE',[status(thm)],[802,800]) ).
tff(2056,plain,
'fun_app$d'('finite$','null_space$a'('a$')),
inference('REWRITE',[status(thm)],[801,2055]) ).
tff(2062,plain,
'fun_app$j'('of_nat$','fun_app$k'('dim$'('vector_scalar_mult$'),'null_space$a'('a$'))) = 0,
inference('HYPERRESOLVE',[status(thm)],[799,2056,49]) ).
cnf(2063,plain,
$false,
inference('REWRITE',[status(thm)],[2055,'CODE-FOR-$$LESS',2062,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 : n019.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 20:00:10 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 2022-06-03T20:00:10
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-03T20:00:10
% 0.47/0.66 WARNING:
% 0.47/0.66 |finite$e| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.66 WARNING:
% 0.47/0.66 |finite$f| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 1.09/1.32
% 1.09/1.32
% 1.09/1.32 #||
% 1.09/1.32 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.09/1.32 % SZS output start Refutation
% See solution above
% 1.09/1.32 ||#
% 1.09/1.32
% 1.09/1.32 ; Summary of computation:
% 1.09/1.32 ; 5939 formulas have been input or derived (from 414 formulas).
% 1.09/1.32 ; 2063 (35%) were retained. Of these,
% 1.09/1.32 ; 145 ( 7%) were simplified or subsumed later,
% 1.09/1.32 ; 1918 (93%) are still being kept.
% 1.09/1.32 ;
% 1.09/1.32 ; Run time in seconds excluding printing time:
% 1.09/1.32 ; 0.153 18% Read assertion file (1 call)
% 1.09/1.32 ; 0.021 2% Assert (634 calls)
% 1.09/1.32 ; 0.153 18% Process new row (5,426 calls)
% 1.09/1.32 ; 0.119 14% Resolution (826 calls)
% 1.09/1.32 ; 0.007 1% Paramodulation (413 calls)
% 1.09/1.32 ; 0.000 0% Factoring (47 calls)
% 1.09/1.32 ; 0.034 4% Condensing (2,820 calls)
% 1.09/1.32 ; 0.125 15% Forward subsumption (2,820 calls)
% 1.09/1.32 ; 0.044 5% Backward subsumption (1,715 calls)
% 1.09/1.32 ; 0.018 2% Clause clause subsumption (3,787 calls)
% 1.09/1.32 ; 0.099 12% Forward simplification (5,339 calls)
% 1.09/1.32 ; 0.004 0% Backward simplification (2,016 calls)
% 1.09/1.32 ; 0.006 1% Ordering (5,512 calls)
% 1.09/1.32 ; 0.017 2% Sortal reasoning (20,925 calls)
% 1.09/1.32 ; 0.002 0% Purity testing (1 call)
% 1.09/1.32 ; 0.046 5% Other
% 1.09/1.32 ; 0.848 Total
% 1.09/1.32 ; 0.849 Real time
% 1.09/1.32 ;
% 1.09/1.32 ; Term-hash-array has 3,714 terms in all.
% 1.09/1.32 ; Feature-vector-row-index has 1,639 entries (1,642 at peak, 1,715 added, 76 deleted).
% 1.09/1.32 ; Feature-vector-row-index has 10,448 nodes (10,520 at peak, 11,022 added, 574 deleted).
% 1.09/1.32 ; Retrieved 4,571 possibly forward subsuming rows in 2,820 calls.
% 1.09/1.32 ; Retrieved 549 possibly backward subsumed rows in 1,715 calls.
% 1.09/1.32 ; Path-index has 3,660 entries (3,661 at peak, 3,815 added, 155 deleted).
% 1.09/1.32 ; Path-index has 10,901 nodes (10,902 at peak, 11,049 added, 148 deleted).
% 1.09/1.32 ; Trie-index has 3,660 entries (3,661 at peak, 3,815 added, 155 deleted).
% 1.09/1.32 ; Trie-index has 10,410 nodes (10,411 at peak, 10,733 added, 323 deleted).
% 1.09/1.32 ; Retrieved 7,923 generalization terms in 19,686 calls.
% 1.09/1.32 ; Retrieved 514 instance terms in 344 calls.
% 1.09/1.32 ; Retrieved 141,252 unifiable terms in 3,483 calls.
% 1.09/1.32 ;
% 1.09/1.32 ; The agenda of rows to process has 29 entries:
% 1.09/1.32 ; 6 with value 14 2 with value 21 1 with value 26
% 1.09/1.32 ; 2 with value 15 1 with value 22 2 with value 27
% 1.09/1.32 ; 3 with value 16 4 with value 23 1 with value 29
% 1.09/1.32 ; 1 with value 18 2 with value 24 2 with value 30
% 1.09/1.32 ; 2 with value 19
% 1.09/1.32 ; The agenda of input rows to give has 300 entries:
% 1.09/1.32 ; 1 with value 19 19 with value 27 3 with value 35
% 1.09/1.32 ; 24 with value 20 12 with value 28 17 with value 37
% 1.09/1.32 ; 17 with value 21 11 with value 29 1 with value 39
% 1.09/1.32 ; 22 with value 22 46 with value 30 1 with value 40
% 1.09/1.32 ; 11 with value 23 7 with value 31 3 with value 41
% 1.09/1.32 ; 13 with value 24 5 with value 32 12 with value 44
% 1.09/1.32 ; 47 with value 25 5 with value 33 2 with value 50
% 1.09/1.32 ; 15 with value 26 4 with value 34 2 with value 51
% 1.09/1.32 ; The agenda of rows to give has 1220 entries:
% 1.09/1.32 ; 1 with value (4 5) 53 with value (4 20) 10 with value (4 34)
% 1.09/1.32 ; 17 with value (4 7) 51 with value (4 21) 6 with value (4 35)
% 1.09/1.32 ; 11 with value (4 8) 56 with value (4 22) 11 with value (4 36)
% 1.09/1.32 ; 18 with value (4 9) 77 with value (4 23) 17 with value (4 37)
% 1.09/1.32 ; 40 with value (4 10) 47 with value (4 24) 9 with value (4 38)
% 1.09/1.32 ; 32 with value (4 11) 52 with value (4 25) 4 with value (4 39)
% 1.09/1.32 ; 40 with value (4 12) 46 with value (4 26) 6 with value (4 40)
% 1.09/1.32 ; 39 with value (4 13) 37 with value (4 27) 1 with value (4 41)
% 1.09/1.32 ; 39 with value (4 14) 69 with value (4 28) 4 with value (4 42)
% 1.09/1.32 ; 77 with value (4 15) 27 with value (4 29) 1 with value (4 43)
% 1.09/1.32 ; 42 with value (4 16) 27 with value (4 30) 4 with value (4 44)
% 1.09/1.32 ; 61 with value (4 17) 28 with value (4 31) 2 with value (4 45)
% 1.09/1.32 ; 42 with value (4 18) 27 with value (4 32) 1 with value (4 48)
% 1.09/1.32 ; 60 with value (4 19) 28 with value (4 33)
% 1.09/1.32 Evaluation took:
% 1.09/1.32 0.85 seconds of real time
% 1.09/1.32 0.771124 seconds of user run time
% 1.09/1.32 0.079371 seconds of system run time
% 1.09/1.32 [Run times include 0.068 seconds GC run time.]
% 1.09/1.32 0 calls to %EVAL
% 1.09/1.32 0 page faults and
% 1.09/1.32 65,346,344 bytes consed.
% 1.09/1.32 :PROOF-FOUND
% 1.09/1.32 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-03T20:00:11
% 1.09/1.32 :PROOF-FOUND
% 1.09/1.32 *
%------------------------------------------------------------------------------