TSTP Solution File: SWW834_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW834_1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 01:25:50 EDT 2022

% Result   : Unsatisfiable 18.21s 18.38s
% Output   : Refutation 18.21s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$LESS')

% Comments : 
%------------------------------------------------------------------------------
tff(2,axiom,
    f3(f4,f5) = 0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2) ).

tff(3,axiom,
    f3(f6,f5) = 1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2) ).

cnf('$$LESSEQ-IS-REFLEXIVE',axiom,
    $lesseq(X,X) ).

tff('SOLVE-$$LESS-BY-$$$LESS',axiom,
    ! [X: 'NUMBER',Y: 'NUMBER'] :
      ( $less(X,Y)
      | ~ '$$$LESS'(X,Y) ) ).

tff('SOLVE-$$LESSEQ-BY-$$$LESS',axiom,
    ! [X: 'NUMBER',Y: 'NUMBER'] :
      ( $lesseq(X,Y)
      | '$$$LESS'(Y,X) ) ).

tff(23,axiom,
    $less(0,f5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_6) ).

tff(24,axiom,
    $less(f5,$product(2,f7)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_7) ).

tff(28,axiom,
    ( ~ $less(f7,f5)
    | ~ $less(f5,$product(2,f7))
    | ( f3(f4,f5) != 0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_12) ).

tff(29,plain,
    ~ $less(f7,f5),
    inference('REWRITE',[status(thm)],[28,2,24,theory(equality)]) ).

tff(94,axiom,
    ! [X: $real,Y: $real] :
      ( ~ $lesseq(0,X)
      | ~ $less(X,Y)
      | ~ $lesseq(Y,f7)
      | $less(f3(f6,Y),f3(f6,X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_45) ).

tff(147,axiom,
    f3(f6,0) = 1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_73) ).

tff(770,plain,
    ~ '$$$LESS'(f7,f5),
    inference('HYPERRESOLVE',[status(thm)],[29,'SOLVE-$$LESS-BY-$$$LESS']) ).

cnf(1477,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[94,'$$LESSEQ-IS-REFLEXIVE',23,'SOLVE-$$LESSEQ-BY-$$$LESS']),'CODE-FOR-$$LESS',147,3,770,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : SWW834_1 : TPTP v8.1.0. Released v7.0.0.
% 0.04/0.14  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Mon Jun  6 00:13:15 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.22/0.49  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.50  * 
% 0.22/0.50  * 
% 0.22/0.50  #<PACKAGE "SNARK-USER">
% 0.22/0.50  * 
% 0.22/0.50  SNARK-TPTP-OPTIONS
% 0.22/0.50  * 
% 0.22/0.51  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51   (USE-FACTORING :POS)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51  * 
% 0.22/0.51  "."
% 0.22/0.51  * 
% 0.22/0.51  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T00:13:15
% 0.22/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-06T00:13:15
% 18.21/18.38  
% 18.21/18.38  
% 18.21/18.38  #||
% 18.21/18.38  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.21/18.38  % SZS output start Refutation
% See solution above
% 18.21/18.38  ||#
% 18.21/18.38  
% 18.21/18.38  ; Summary of computation:
% 18.21/18.38  ;      4608 formulas have been input or derived (from 388 formulas).
% 18.21/18.38  ;      1477 (32%) were retained.  Of these,
% 18.21/18.38  ;          443 (30%) were simplified or subsumed later,
% 18.21/18.38  ;         1034 (70%) are still being kept.
% 18.21/18.38  ; 
% 18.21/18.38  ; Run time in seconds excluding printing time:
% 18.21/18.38  ;     0.083   0%   Read assertion file          (1 call)
% 18.21/18.38  ;     0.015   0%   Assert                       (261 calls)
% 18.21/18.38  ;     0.074   0%   Process new row              (3,391 calls)
% 18.21/18.38  ;     0.067   0%   Resolution                   (774 calls)
% 18.21/18.38  ;     0.010   0%   Paramodulation               (387 calls)
% 18.21/18.38  ;     0.000   0%   Factoring                    (8 calls)
% 18.21/18.38  ;     0.013   0%   Condensing                   (610 calls)
% 18.21/18.38  ;     0.024   0%   Forward subsumption          (610 calls)
% 18.21/18.38  ;     0.008   0%   Backward subsumption         (530 calls)
% 18.21/18.38  ;     0.002   0%   Clause clause subsumption    (491 calls)
% 18.21/18.38  ;     0.095   1%   Forward simplification       (3,381 calls)
% 18.21/18.38  ;     0.015   0%   Backward simplification      (1,203 calls)
% 18.21/18.38  ;     0.003   0%   Ordering                     (2,369 calls)
% 18.21/18.38  ;    17.387  97%   Ordering ac                  (48 calls)
% 18.21/18.38  ;     0.031   0%   Sortal reasoning             (29,551 calls)
% 18.21/18.38  ;     0.001   0%   Purity testing               (1 call)
% 18.21/18.38  ;     0.046   0%   Other
% 18.21/18.38  ;    17.874        Total
% 18.21/18.38  ;    17.874        Real time
% 18.21/18.38  ; 
% 18.21/18.38  ; Term-hash-array has 2,182 terms in all.
% 18.21/18.38  ; Feature-vector-row-index has 465 entries (465 at peak, 530 added, 65 deleted).
% 18.21/18.38  ; Feature-vector-row-index has 4,710 nodes (4,710 at peak, 5,509 added, 799 deleted).
% 18.21/18.38  ;  Retrieved 594 possibly forward subsuming rows in 610 calls.
% 18.21/18.38  ;  Retrieved 83 possibly backward subsumed rows in 530 calls.
% 18.21/18.38  ; Path-index has 2,017 entries (2,017 at peak, 2,363 added, 346 deleted).
% 18.21/18.38  ; Path-index has 4,669 nodes (4,669 at peak, 5,065 added, 396 deleted).
% 18.21/18.38  ; Trie-index has 2,017 entries (2,017 at peak, 2,363 added, 346 deleted).
% 18.21/18.38  ; Trie-index has 3,748 nodes (3,748 at peak, 4,173 added, 425 deleted).
% 18.21/18.38  ; Retrieved 41,836 generalization terms in 14,915 calls.
% 18.21/18.38  ; Retrieved 713 instance terms in 672 calls.
% 18.21/18.38  ; Retrieved 48,051 unifiable terms in 3,582 calls.
% 18.21/18.38  ; 
% 18.21/18.38  ; The agenda of rows to process has 95 entries:
% 18.21/18.38  ;     7 with value 14              5 with value 29               2 with value 40
% 18.21/18.38  ;     9 with value 18              7 with value 30               1 with value 42
% 18.21/18.38  ;     7 with value 20              1 with value 32               2 with value 55
% 18.21/18.38  ;     8 with value 22              2 with value 33               2 with value 59
% 18.21/18.38  ;     8 with value 24              2 with value 34               2 with value 60
% 18.21/18.38  ;     3 with value 25              7 with value 36               2 with value 64
% 18.21/18.38  ;    10 with value 26              1 with value 37               2 with value 70
% 18.21/18.38  ;     2 with value 27              1 with value 38               2 with value 74
% 18.21/18.38  ; The agenda of input rows to give has 99 entries:
% 18.21/18.38  ;    11 with value 21              2 with value 35               6 with value 60
% 18.21/18.38  ;     2 with value 22              6 with value 36               1 with value 66
% 18.21/18.38  ;     6 with value 23              1 with value 37               1 with value 68
% 18.21/18.38  ;     9 with value 24              1 with value 39               1 with value 69
% 18.21/18.38  ;     5 with value 25              1 with value 40               1 with value 71
% 18.21/18.38  ;     1 with value 26              1 with value 42               1 with value 73
% 18.21/18.38  ;     1 with value 27              1 with value 47               1 with value 74
% 18.21/18.38  ;     6 with value 28              1 with value 50               1 with value 76
% 18.21/18.38  ;     5 with value 29              1 with value 52               1 with value 77
% 18.21/18.38  ;     1 with value 30              2 with value 54               2 with value 87
% 18.21/18.38  ;     4 with value 31              1 with value 56               1 with value 95
% 18.21/18.38  ;     1 with value 32              4 with value 57               1 with value 143
% 18.21/18.38  ;     3 with value 33              2 with value 58               1 with value 162
% 18.21/18.38  ;     1 with value 34
% 18.21/18.38  ; The agenda of rows to give has 579 entries:
% 18.21/18.38  ;    16 with value (4 5)          26 with value (4 20)           5 with value (4 34)
% 18.21/18.38  ;    22 with value (4 7)          14 with value (4 21)           1 with value (4 35)
% 18.21/18.38  ;    47 with value (4 8)          11 with value (4 22)           8 with value (4 36)
% 18.21/18.38  ;    11 with value (4 9)          10 with value (4 23)           3 with value (4 37)
% 18.21/18.38  ;    40 with value (4 10)         24 with value (4 24)           3 with value (4 38)
% 18.21/18.38  ;    46 with value (4 11)          4 with value (4 25)           4 with value (4 39)
% 18.21/18.38  ;    31 with value (4 12)         10 with value (4 26)           3 with value (4 40)
% 18.21/18.38  ;    26 with value (4 13)          5 with value (4 27)           1 with value (4 43)
% 18.21/18.38  ;    12 with value (4 14)         12 with value (4 28)           1 with value (4 45)
% 18.21/18.38  ;    26 with value (4 15)          7 with value (4 29)           4 with value (4 49)
% 18.21/18.38  ;    48 with value (4 16)         12 with value (4 30)           1 with value (4 60)
% 18.21/18.38  ;    17 with value (4 17)          8 with value (4 31)           1 with value (4 68)
% 18.21/18.38  ;    20 with value (4 18)         11 with value (4 32)           1 with value (4 82)
% 18.21/18.38  ;    21 with value (4 19)          6 with value (4 33)
% 18.21/18.38  Evaluation took:
% 18.21/18.38    17.875 seconds of real time
% 18.21/18.38    17.816296 seconds of user run time
% 18.21/18.38    0.059959 seconds of system run time
% 18.21/18.38    [Run times include 0.031 seconds GC run time.]
% 18.21/18.38    0 calls to %EVAL
% 18.21/18.38    0 page faults and
% 18.21/18.38    45,076,936 bytes consed.
% 18.21/18.38  :PROOF-FOUND
% 18.21/18.38  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-06T00:13:33
% 18.21/18.38  :PROOF-FOUND
% 18.21/18.38  * 
%------------------------------------------------------------------------------