%------------------------------------------------------------------------------
% 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 00:35:05 EDT 2022
% Result : Theorem 2.75s 2.95s
% Output : Refutation 2.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 16 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 70 ( 6 equ)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 50 ( 50 fml; 0 var)
% Number arithmetic : 7 ( 0 atm; 0 fun; 6 num; 1 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 22 ( 20 usr; 10 prp; 0-3 aty)
% Number of functors : 2 ( 0 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(19,negated_conjecture,
'reduced_row_echelon_form$'('a$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture3) ).
tff(20,axiom,
~ 'is_zero_row_upt_k$'('i$','nat$'(1),'a$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom4) ).
tff(21,axiom,
'is_zero_row_upt_k$'('zero$','nat$'(1),'a$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom5) ).
tff(22,axiom,
! [X: 'A_cols_vec_rows_vec$',Y: 'Nat$'] :
( ~ 'reduced_row_echelon_form$'(X)
| 'fun_app$b'('reduced_row_echelon_form_upt_k$'(X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom7) ).
tff(23,axiom,
'fun_app$c'('fun_app$d'('less$','zero$'),'i$'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom8) ).
tff(35,axiom,
! [X: 'A_cols_vec_rows_vec$',Y: 'Nat$',Z: 'Rows$',U: 'Rows$'] :
( ~ 'fun_app$b'('reduced_row_echelon_form_upt_k$'(X),Y)
| ~ 'is_zero_row_upt_k$'(Z,Y,X)
| ~ 'fun_app$c'('fun_app$d'('less$',Z),U)
| 'is_zero_row_upt_k$'(U,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom18) ).
tff(161,axiom,
! [X: 'Nat$',Y: 'Nat$'] : ( 'fun_app$h'('of_nat$','fun_app$l'('power$'(X),Y)) = 'fun_app$h'('power$a'('fun_app$h'('of_nat$',X)),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom159) ).
tff(351,axiom,
! [X: 'Nat$'] : ( 'fun_app$l'('power$'(X),'nat$'(0)) = 'one$e' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom244) ).
tff(353,axiom,
! [X: $int] : ( 'fun_app$h'('power$a'(X),'nat$'(0)) = 1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom246) ).
tff(930,axiom,
! [X: 'Nat$'] : ( 'nat$'('fun_app$h'('of_nat$',X)) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom614) ).
tff(948,plain,
! [X: 'Nat$'] : 'fun_app$b'('reduced_row_echelon_form_upt_k$'('a$'),X),
inference('HYPERRESOLVE',[status(thm)],[22,19]) ).
tff(1516,plain,
! [X: 'Nat$',Y: 'Nat$'] : ( 'nat$'('fun_app$h'('power$a'('fun_app$h'('of_nat$',X)),Y)) = 'fun_app$l'('power$'(X),Y) ),
inference('PARAMODULATE',[status(thm)],[930,161,theory(equality)]) ).
tff(1534,plain,
'nat$'(1) = 'one$e',
inference('REWRITE',[status(thm)],[351,353,1516,theory(equality)]) ).
tff(1535,plain,
~ 'is_zero_row_upt_k$'('i$','one$e','a$'),
inference('REWRITE',[status(thm)],[20,1534,theory(equality)]) ).
tff(1536,plain,
'is_zero_row_upt_k$'('zero$','one$e','a$'),
inference('REWRITE',[status(thm)],[21,1534,theory(equality)]) ).
cnf(4336,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[35,1536,23,1535]),948]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 2 17:04:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T17:04:40
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-02T17:04:40
% 0.48/0.70 WARNING:
% 0.48/0.70 |reduced_row_echelon_form$c| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.70 WARNING:
% 0.48/0.70 |reduced_row_echelon_form$d| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.70 WARNING:
% 0.48/0.70 |reduced_row_echelon_form$a| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.70 WARNING:
% 0.48/0.70 |reduced_row_echelon_form$i| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.70 WARNING:
% 0.48/0.70 |reduced_row_echelon_form$b| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.70 WARNING:
% 0.48/0.70 |reduced_row_echelon_form$j| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.70 WARNING:
% 0.48/0.70 |reduced_row_echelon_form$h| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.70 WARNING:
% 0.48/0.70 |reduced_row_echelon_form$e| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.70 WARNING:
% 0.48/0.70 |reduced_row_echelon_form$g| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.70 WARNING:
% 0.48/0.70 |reduced_row_echelon_form$f| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.48/0.70 WARNING:
% 0.48/0.70 |less_eq$b| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 2.75/2.95
% 2.75/2.95
% 2.75/2.95 #||
% 2.75/2.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.75/2.95 % SZS output start Refutation
% See solution above
% 2.75/2.95 ||#
% 2.75/2.95
% 2.75/2.95 ; Summary of computation:
% 2.75/2.95 ; 11682 formulas have been input or derived (from 429 formulas).
% 2.75/2.95 ; 4336 (37%) were retained. Of these,
% 2.75/2.95 ; 442 (10%) were simplified or subsumed later,
% 2.75/2.95 ; 3894 (90%) are still being kept.
% 2.75/2.95 ;
% 2.75/2.95 ; Run time in seconds excluding printing time:
% 2.75/2.95 ; 0.175 7% Read assertion file (1 call)
% 2.75/2.95 ; 0.021 1% Assert (618 calls)
% 2.75/2.95 ; 0.365 15% Process new row (9,826 calls)
% 2.75/2.95 ; 0.280 11% Resolution (856 calls)
% 2.75/2.95 ; 0.021 1% Paramodulation (428 calls)
% 2.75/2.95 ; 0.000 0% Factoring (33 calls)
% 2.75/2.95 ; 0.069 3% Condensing (5,950 calls)
% 2.75/2.95 ; 0.770 31% Forward subsumption (5,950 calls)
% 2.75/2.95 ; 0.183 7% Backward subsumption (3,661 calls)
% 2.75/2.95 ; 0.093 4% Clause clause subsumption (18,865 calls)
% 2.75/2.95 ; 0.311 13% Forward simplification (9,736 calls)
% 2.75/2.95 ; 0.016 1% Backward simplification (4,057 calls)
% 2.75/2.95 ; 0.038 2% Ordering (20,372 calls)
% 2.75/2.95 ; 0.000 0% Ordering ac (2 calls)
% 2.75/2.95 ; 0.054 2% Sortal reasoning (68,188 calls)
% 2.75/2.95 ; 0.002 0% Purity testing (1 call)
% 2.75/2.95 ; 0.064 3% Other
% 2.75/2.95 ; 2.462 Total
% 2.75/2.95 ; 2.463 Real time
% 2.75/2.95 ;
% 2.75/2.96 ; Term-hash-array has 4,948 terms in all.
% 2.75/2.96 ; Feature-vector-row-index has 3,526 entries (3,526 at peak, 3,661 added, 135 deleted).
% 2.75/2.96 ; Feature-vector-row-index has 32,299 nodes (32,299 at peak, 33,816 added, 1,517 deleted).
% 2.75/2.96 ; Retrieved 27,482 possibly forward subsuming rows in 5,950 calls.
% 2.75/2.96 ; Retrieved 1,728 possibly backward subsumed rows in 3,661 calls.
% 2.75/2.96 ; Path-index has 4,832 entries (4,832 at peak, 5,141 added, 309 deleted).
% 2.75/2.96 ; Path-index has 8,184 nodes (8,184 at peak, 8,408 added, 224 deleted).
% 2.75/2.96 ; Trie-index has 4,832 entries (4,832 at peak, 5,141 added, 309 deleted).
% 2.75/2.96 ; Trie-index has 10,127 nodes (10,127 at peak, 10,667 added, 540 deleted).
% 2.75/2.96 ; Retrieved 25,984 generalization terms in 62,090 calls.
% 2.75/2.96 ; Retrieved 474 instance terms in 405 calls.
% 2.75/2.96 ; Retrieved 252,610 unifiable terms in 5,398 calls.
% 2.75/2.96 ;
% 2.75/2.96 ; The agenda of rows to process has 50 entries:
% 2.75/2.96 ; 2 with value 14 2 with value 26 4 with value 37
% 2.75/2.96 ; 2 with value 16 2 with value 27 2 with value 40
% 2.75/2.96 ; 1 with value 21 3 with value 29 4 with value 42
% 2.75/2.96 ; 2 with value 22 2 with value 31 1 with value 44
% 2.75/2.96 ; 1 with value 23 3 with value 33 2 with value 48
% 2.75/2.96 ; 4 with value 24 4 with value 35 2 with value 49
% 2.75/2.96 ; 2 with value 25 1 with value 36 4 with value 53
% 2.75/2.96 ; The agenda of input rows to give has 204 entries:
% 2.75/2.96 ; 12 with value 23 4 with value 32 2 with value 40
% 2.75/2.96 ; 18 with value 24 13 with value 33 9 with value 43
% 2.75/2.96 ; 23 with value 25 3 with value 34 4 with value 44
% 2.75/2.96 ; 10 with value 26 10 with value 35 2 with value 45
% 2.75/2.96 ; 12 with value 27 7 with value 36 7 with value 46
% 2.75/2.96 ; 12 with value 28 7 with value 37 1 with value 51
% 2.75/2.96 ; 14 with value 29 10 with value 38 3 with value 53
% 2.75/2.96 ; 11 with value 30 5 with value 39 1 with value 57
% 2.75/2.96 ; 4 with value 31
% 2.75/2.96 ; The agenda of rows to give has 3284 entries:
% 2.75/2.96 ; 6 with value (4 5) 91 with value (4 27) 35 with value (4 48)
% 2.75/2.96 ; 1 with value (4 6) 157 with value (4 28) 27 with value (4 49)
% 2.75/2.96 ; 3 with value (4 7) 95 with value (4 29) 24 with value (4 50)
% 2.75/2.96 ; 19 with value (4 8) 124 with value (4 30) 22 with value (4 51)
% 2.75/2.96 ; 6 with value (4 9) 112 with value (4 31) 21 with value (4 52)
% 2.75/2.96 ; 26 with value (4 10) 113 with value (4 32) 9 with value (4 53)
% 2.75/2.96 ; 22 with value (4 11) 86 with value (4 33) 22 with value (4 54)
% 2.75/2.96 ; 37 with value (4 12) 91 with value (4 34) 24 with value (4 55)
% 2.75/2.96 ; 30 with value (4 13) 109 with value (4 35) 29 with value (4 56)
% 2.75/2.96 ; 54 with value (4 14) 71 with value (4 36) 9 with value (4 57)
% 2.75/2.96 ; 86 with value (4 15) 58 with value (4 37) 3 with value (4 58)
% 2.75/2.96 ; 59 with value (4 16) 59 with value (4 38) 4 with value (4 59)
% 2.75/2.96 ; 50 with value (4 17) 79 with value (4 39) 21 with value (4 60)
% 2.75/2.96 ; 70 with value (4 18) 46 with value (4 40) 1 with value (4 61)
% 2.75/2.96 ; 88 with value (4 19) 64 with value (4 41) 5 with value (4 62)
% 2.75/2.96 ; 115 with value (4 20) 56 with value (4 42) 1 with value (4 63)
% 2.75/2.96 ; 102 with value (4 21) 61 with value (4 43) 2 with value (4 64)
% 2.75/2.96 ; 132 with value (4 22) 39 with value (4 44) 4 with value (4 65)
% 2.75/2.96 ; 117 with value (4 23) 50 with value (4 45) 4 with value (4 66)
% 2.75/2.96 ; 153 with value (4 24) 35 with value (4 46) 2 with value (4 67)
% 2.75/2.96 ; 95 with value (4 25) 43 with value (4 47) 4 with value (4 69)
% 2.75/2.96 ; 101 with value (4 26)
% 2.75/2.96 Evaluation took:
% 2.75/2.96 2.465 seconds of real time
% 2.75/2.96 2.245405 seconds of user run time
% 2.75/2.96 0.219297 seconds of system run time
% 2.75/2.96 [Run times include 0.205 seconds GC run time.]
% 2.75/2.96 0 calls to %EVAL
% 2.75/2.96 0 page faults and
% 2.75/2.96 222,446,880 bytes consed.
% 2.75/2.96 :PROOF-FOUND
% 2.75/2.96 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T17:04:43
% 2.75/2.96 :PROOF-FOUND
% 2.75/2.96 *
%------------------------------------------------------------------------------