TSTP Solution File: SWW811_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW811_1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 : Thu Jul 21 01:25:47 EDT 2022

% Result   : Unsatisfiable 0.57s 0.72s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$PRODUCT')

% Comments : 
%------------------------------------------------------------------------------
tff(511,axiom,
    'SKOLEMAAAU208.$int' = $product('SKOLEMAAAU206.$int',2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_101) ).

tff(512,plain,
    'SKOLEMAAAU208.$int' = $product(2,'SKOLEMAAAU206.$int'),
    inference('REWRITE',[status(thm)],[511,'CODE-FOR-$$PRODUCT']) ).

tff(519,axiom,
    ! [X: c_type] :
      ( ( X != type_pointer(type_global) )
      | ( 'SKOLEMAAAU214.$int'(X) = $difference('SKOLEMAAAU208.$int',1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_101) ).

tff(520,plain,
    ! [X: c_type] :
      ( ( X != type_pointer(type_global) )
      | ( 'SKOLEMAAAU214.$int'(X) = $sum(-1,'SKOLEMAAAU208.$int') ) ),
    inference('REWRITE',[status(thm)],[519,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT','CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE']) ).

tff(525,axiom,
    ! [X: c_type] :
      ( ( X != type_pointer(type_global) )
      | ( 'SKOLEMAAAU217.$int'(X) = $difference('SKOLEMAAAU214.$int'(X),1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_101) ).

tff(526,plain,
    ! [X: c_type] :
      ( ( X != type_pointer(type_global) )
      | ( 'SKOLEMAAAU217.$int'(X) = $sum(-1,'SKOLEMAAAU214.$int'(X)) ) ),
    inference('REWRITE',[status(thm)],[525,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT','CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE']) ).

tff(529,axiom,
    ! [X: c_type] :
      ( ( X != type_pointer(type_global) )
      | ( 'SKOLEMAAAU220.$int'(X) = $difference('SKOLEMAAAU206.$int',1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_101) ).

tff(530,plain,
    ! [X: c_type] :
      ( ( X != type_pointer(type_global) )
      | ( 'SKOLEMAAAU220.$int'(X) = $sum(-1,'SKOLEMAAAU206.$int') ) ),
    inference('REWRITE',[status(thm)],[529,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT','CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE']) ).

tff(533,axiom,
    ! [X: c_type] :
      ( ( X != type_pointer(type_global) )
      | ( 'SKOLEMAAAU217.$int'(X) != $product('SKOLEMAAAU220.$int'(X),2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_101) ).

tff(534,plain,
    ! [X: c_type] :
      ( ( X != type_pointer(type_global) )
      | ( 'SKOLEMAAAU217.$int'(X) != $product(2,'SKOLEMAAAU220.$int'(X)) ) ),
    inference('REWRITE',[status(thm)],[533,'CODE-FOR-$$PRODUCT']) ).

tff(587,plain,
    'SKOLEMAAAU214.$int'(type_pointer(type_global)) = $sum(-1,'SKOLEMAAAU208.$int'),
    inference('HYPERRESOLVE',[status(thm)],[520,theory(equality)]) ).

tff(589,plain,
    'SKOLEMAAAU220.$int'(type_pointer(type_global)) = $sum(-1,'SKOLEMAAAU206.$int'),
    inference('HYPERRESOLVE',[status(thm)],[530,theory(equality)]) ).

tff(595,plain,
    'SKOLEMAAAU217.$int'(type_pointer(type_global)) = $sum(-2,'SKOLEMAAAU208.$int'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[526,theory(equality)]),'CODE-FOR-$$SUM',587,theory(equality)]) ).

cnf(596,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[534,theory(equality)]),512,'CODE-FOR-$$PRODUCT',589,595,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW811_1 : TPTP v8.1.0. Released v7.0.0.
% 0.14/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n018.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jun  6 03:49:49 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.21/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.46  * 
% 0.21/0.46  * 
% 0.21/0.47  #<PACKAGE "SNARK-USER">
% 0.21/0.47  * 
% 0.21/0.47  SNARK-TPTP-OPTIONS
% 0.21/0.47  * 
% 0.21/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47   (USE-FACTORING :POS)
% 0.21/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47  * 
% 0.21/0.47  "."
% 0.21/0.47  * 
% 0.21/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T03:49:49
% 0.21/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-06T03:49:49
% 0.42/0.57  WARNING:
% 0.42/0.57     |on_heap| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.57  WARNING:
% 0.42/0.57     |free_stack| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.57  WARNING:
% 0.42/0.57     |on_stack| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.42/0.57  WARNING:
% 0.42/0.57     |fresh| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.57/0.72  
% 0.57/0.72  
% 0.57/0.72  #||
% 0.57/0.72  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/0.72  % SZS output start Refutation
% See solution above
% 0.57/0.72  ||#
% 0.57/0.72  
% 0.57/0.72  ; Summary of computation:
% 0.57/0.72  ;      1462 formulas have been input or derived (from 192 formulas).
% 0.57/0.72  ;       596 (41%) were retained.  Of these,
% 0.57/0.72  ;          181 (30%) were simplified or subsumed later,
% 0.57/0.72  ;          415 (70%) are still being kept.
% 0.57/0.72  ; 
% 0.57/0.72  ; Run time in seconds excluding printing time:
% 0.57/0.72  ;     0.076  30%   Read assertion file          (1 call)
% 0.57/0.72  ;     0.015   6%   Assert                       (101 calls)
% 0.57/0.72  ;     0.033  13%   Process new row              (1,227 calls)
% 0.57/0.72  ;     0.047  19%   Resolution                   (382 calls)
% 0.57/0.72  ;     0.006   2%   Paramodulation               (191 calls)
% 0.57/0.72  ;     0.000   0%   Factoring                    (6 calls)
% 0.57/0.72  ;     0.008   3%   Condensing                   (225 calls)
% 0.57/0.72  ;     0.006   2%   Forward subsumption          (225 calls)
% 0.57/0.72  ;     0.004   2%   Backward subsumption         (219 calls)
% 0.57/0.72  ;     0.000   0%   Clause clause subsumption    (21 calls)
% 0.57/0.72  ;     0.024   9%   Forward simplification       (1,218 calls)
% 0.57/0.73  ;     0.003   1%   Backward simplification      (420 calls)
% 0.57/0.73  ;     0.001   0%   Ordering                     (816 calls)
% 0.57/0.73  ;     0.005   2%   Sortal reasoning             (5,514 calls)
% 0.57/0.73  ;     0.001   0%   Purity testing               (1 call)
% 0.57/0.73  ;     0.024   9%   Other
% 0.57/0.73  ;     0.253        Total
% 0.57/0.73  ;     0.255        Real time
% 0.57/0.73  ; 
% 0.57/0.73  ; Term-hash-array has 1,241 terms in all.
% 0.57/0.73  ; Feature-vector-row-index has 218 entries (218 at peak, 219 added, 1 deleted).
% 0.57/0.73  ; Feature-vector-row-index has 2,331 nodes (2,331 at peak, 2,355 added, 24 deleted).
% 0.57/0.73  ;  Retrieved 44 possibly forward subsuming rows in 225 calls.
% 0.57/0.73  ;  Retrieved 5 possibly backward subsumed rows in 219 calls.
% 0.57/0.73  ; Path-index has 1,273 entries (1,273 at peak, 1,293 added, 20 deleted).
% 0.57/0.73  ; Path-index has 9,404 nodes (9,404 at peak, 9,449 added, 45 deleted).
% 0.57/0.73  ; Trie-index has 1,273 entries (1,273 at peak, 1,293 added, 20 deleted).
% 0.57/0.73  ; Trie-index has 6,692 nodes (6,692 at peak, 6,776 added, 84 deleted).
% 0.57/0.73  ; Retrieved 1,987 generalization terms in 3,612 calls.
% 0.57/0.73  ; Retrieved 223 instance terms in 202 calls.
% 0.57/0.73  ; Retrieved 37,400 unifiable terms in 1,265 calls.
% 0.57/0.73  ; 
% 0.57/0.73  ; The agenda of rows to process has 32 entries:
% 0.57/0.73  ;     1 with value 14              4 with value 20               7 with value 24
% 0.57/0.73  ;    11 with value 18              7 with value 22               2 with value 26
% 0.57/0.73  ; The agenda of input rows to give has 165 entries:
% 0.57/0.73  ;     9 with value 17              4 with value 36               1 with value 56
% 0.57/0.73  ;     3 with value 18              3 with value 37               1 with value 59
% 0.57/0.73  ;     2 with value 19              5 with value 39               1 with value 61
% 0.57/0.73  ;     1 with value 21              4 with value 40               4 with value 63
% 0.57/0.73  ;     7 with value 22              9 with value 42               3 with value 66
% 0.57/0.73  ;     2 with value 23              4 with value 43               1 with value 69
% 0.57/0.73  ;     4 with value 24              5 with value 44               1 with value 71
% 0.57/0.73  ;     2 with value 25              5 with value 45               1 with value 73
% 0.57/0.73  ;     2 with value 26              2 with value 46               1 with value 74
% 0.57/0.73  ;    11 with value 27              5 with value 47               1 with value 79
% 0.57/0.73  ;     4 with value 28              4 with value 48               2 with value 80
% 0.57/0.73  ;     5 with value 29              2 with value 50               2 with value 82
% 0.57/0.73  ;     4 with value 30              1 with value 51               3 with value 84
% 0.57/0.73  ;     2 with value 31              4 with value 52               1 with value 87
% 0.57/0.73  ;     5 with value 32              2 with value 53               1 with value 105
% 0.57/0.73  ;     2 with value 33              2 with value 54               1 with value 106
% 0.57/0.73  ;     5 with value 34              5 with value 55               1 with value 127
% 0.57/0.73  ;     3 with value 35
% 0.57/0.73  ; The agenda of rows to give has 58 entries:
% 0.57/0.73  ;     6 with value (4 5)           4 with value (4 11)          12 with value (4 16)
% 0.57/0.73  ;    17 with value (4 8)          14 with value (4 12)           1 with value (4 18)
% 0.57/0.73  ;     2 with value (4 9)           2 with value (4 13)
% 0.57/0.73  Evaluation took:
% 0.57/0.73    0.256 seconds of real time
% 0.57/0.73    0.228761 seconds of user run time
% 0.57/0.73    0.026879 seconds of system run time
% 0.57/0.73    [Run times include 0.013 seconds GC run time.]
% 0.57/0.73    0 calls to %EVAL
% 0.57/0.73    0 page faults and
% 0.57/0.73    16,575,344 bytes consed.
% 0.57/0.73  :PROOF-FOUND
% 0.57/0.73  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T03:49:49
% 0.57/0.73  :PROOF-FOUND
% 0.57/0.73  * 
%------------------------------------------------------------------------------