TSTP Solution File: SWW626_2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWW626_2 : TPTP v8.1.0. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 01:25:30 EDT 2022

% Result   : Theorem 0.60s 0.78s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$UMINUS')

% Comments : 
%------------------------------------------------------------------------------
tff(38,axiom,
    ! [X: ty,Y: uni] : ( infix_plpl(X,nil(X),Y) = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',infix_plpl_def) ).

tff(74,axiom,
    ! [X: ty,Y: uni,Z: uni,U: uni] :
      ( ~ permut(X,Y,Z)
      | ~ permut(X,Z,U)
      | permut(X,Y,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',permut_trans) ).

tff(80,axiom,
    ! [X: ty,Y: uni,Z: uni,U: uni,V: uni] :
      ( ~ permut(X,Y,Z)
      | ~ permut(X,U,V)
      | permut(X,infix_plpl(X,Y,U),infix_plpl(X,Z,V)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',permut_append) ).

tff(89,axiom,
    ! [X: uni] : ( t2tb(tb2t(X)) = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR) ).

tff(165,negated_conjecture,
    tb2t(infix_plpl(elt1,prefix(elt1,div('SKOLEMAAAV14.$int',2),t2tb('SKOLEMAAAV15.list_elt')),prefix(elt1,$difference('SKOLEMAAAV14.$int',div('SKOLEMAAAV14.$int',2)),t2tb('SKOLEMAAAV16.list_elt')))) = tb2t(prefix(elt1,'SKOLEMAAAV14.$int',t2tb('SKOLEMAAAV15.list_elt'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_rev_sort) ).

tff(166,plain,
    tb2t(infix_plpl(elt1,prefix(elt1,div('SKOLEMAAAV14.$int',2),t2tb('SKOLEMAAAV15.list_elt')),prefix(elt1,$sum('SKOLEMAAAV14.$int',$product(-1,div('SKOLEMAAAV14.$int',2))),t2tb('SKOLEMAAAV16.list_elt')))) = tb2t(prefix(elt1,'SKOLEMAAAV14.$int',t2tb('SKOLEMAAAV15.list_elt'))),
    inference('REWRITE',[status(thm)],[165,'CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE']) ).

tff(169,negated_conjecture,
    permut(elt1,t2tb('SKOLEMAAAV17.list_elt'),prefix(elt1,div('SKOLEMAAAV14.$int',2),t2tb('SKOLEMAAAV15.list_elt'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_rev_sort) ).

tff(175,negated_conjecture,
    permut(elt1,t2tb('SKOLEMAAAV18.list_elt'),prefix(elt1,$difference('SKOLEMAAAV14.$int',div('SKOLEMAAAV14.$int',2)),t2tb('SKOLEMAAAV16.list_elt'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_rev_sort) ).

tff(176,plain,
    permut(elt1,t2tb('SKOLEMAAAV18.list_elt'),prefix(elt1,$sum('SKOLEMAAAV14.$int',$product(-1,div('SKOLEMAAAV14.$int',2))),t2tb('SKOLEMAAAV16.list_elt'))),
    inference('REWRITE',[status(thm)],[175,'CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE']) ).

tff(180,negated_conjecture,
    permut(elt1,t2tb('SKOLEMAAAV19.list_elt'),infix_plpl(elt1,infix_plpl(elt1,nil(elt1),t2tb('SKOLEMAAAV17.list_elt')),t2tb('SKOLEMAAAV18.list_elt'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_rev_sort) ).

tff(181,plain,
    permut(elt1,t2tb('SKOLEMAAAV19.list_elt'),infix_plpl(elt1,t2tb('SKOLEMAAAV17.list_elt'),t2tb('SKOLEMAAAV18.list_elt'))),
    inference('REWRITE',[status(thm)],[180,38,theory(equality)]) ).

tff(182,negated_conjecture,
    ~ permut(elt1,t2tb('SKOLEMAAAV19.list_elt'),prefix(elt1,'SKOLEMAAAV14.$int',t2tb('SKOLEMAAAV15.list_elt'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_rev_sort) ).

tff(254,plain,
    ~ permut(elt1,infix_plpl(elt1,t2tb('SKOLEMAAAV17.list_elt'),t2tb('SKOLEMAAAV18.list_elt')),prefix(elt1,'SKOLEMAAAV14.$int',t2tb('SKOLEMAAAV15.list_elt'))),
    inference('UR-RESOLVE',[status(thm)],[74,181,182]) ).

tff(514,plain,
    permut(elt1,infix_plpl(elt1,t2tb('SKOLEMAAAV17.list_elt'),t2tb('SKOLEMAAAV18.list_elt')),infix_plpl(elt1,prefix(elt1,div('SKOLEMAAAV14.$int',2),t2tb('SKOLEMAAAV15.list_elt')),prefix(elt1,$sum('SKOLEMAAAV14.$int',$product(-1,div('SKOLEMAAAV14.$int',2))),t2tb('SKOLEMAAAV16.list_elt')))),
    inference('HYPERRESOLVE',[status(thm)],[80,169,176]) ).

tff(818,plain,
    prefix(elt1,'SKOLEMAAAV14.$int',t2tb('SKOLEMAAAV15.list_elt')) = infix_plpl(elt1,prefix(elt1,div('SKOLEMAAAV14.$int',2),t2tb('SKOLEMAAAV15.list_elt')),prefix(elt1,$sum('SKOLEMAAAV14.$int',$product(-1,div('SKOLEMAAAV14.$int',2))),t2tb('SKOLEMAAAV16.list_elt'))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[89,166,theory(equality)]),89,theory(equality)]) ).

cnf(819,plain,
    $false,
    inference('REWRITE',[status(thm)],[514,254,818,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW626_2 : TPTP v8.1.0. Released v6.1.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun  4 20:03:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-04T20:03:37
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-04T20:03:37
% 0.19/0.52  WARNING: Cannot use equality or equivalence (= ?X.tuple0 tuple02) as rewrite.
% 0.60/0.78  
% 0.60/0.78  
% 0.60/0.78  #||
% 0.60/0.78  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.78  % SZS output start Refutation
% See solution above
% 0.60/0.78  ||#
% 0.60/0.78  
% 0.60/0.78  ; Summary of computation:
% 0.60/0.78  ;      1418 formulas have been input or derived (from 152 formulas).
% 0.60/0.78  ;       819 (58%) were retained.  Of these,
% 0.60/0.78  ;           57 ( 7%) were simplified or subsumed later,
% 0.60/0.78  ;          762 (93%) are still being kept.
% 0.60/0.78  ; 
% 0.60/0.78  ; Run time in seconds excluding printing time:
% 0.60/0.78  ;     0.035  11%   Read assertion file          (1 call)
% 0.60/0.78  ;     0.006   2%   Assert                       (101 calls)
% 0.60/0.78  ;     0.057  19%   Process new row              (1,287 calls)
% 0.60/0.78  ;     0.030  10%   Resolution                   (302 calls)
% 0.60/0.78  ;     0.007   2%   Paramodulation               (151 calls)
% 0.60/0.78  ;     0.000   0%   Factoring                    (13 calls)
% 0.60/0.78  ;     0.006   2%   Condensing                   (436 calls)
% 0.60/0.78  ;     0.022   7%   Forward subsumption          (436 calls)
% 0.60/0.78  ;     0.014   5%   Backward subsumption         (415 calls)
% 0.60/0.78  ;     0.001   0%   Clause clause subsumption    (434 calls)
% 0.60/0.78  ;     0.053  17%   Forward simplification       (1,272 calls)
% 0.60/0.78  ;     0.010   3%   Backward simplification      (803 calls)
% 0.60/0.78  ;     0.037  12%   Ordering                     (3,299 calls)
% 0.60/0.78  ;     0.000   0%   Ordering ac                  (8 calls)
% 0.60/0.78  ;     0.008   3%   Sortal reasoning             (3,204 calls)
% 0.60/0.78  ;     0.000   0%   Purity testing               (1 call)
% 0.60/0.78  ;     0.020   7%   Other
% 0.60/0.78  ;     0.306        Total
% 0.60/0.78  ;     0.309        Real time
% 0.60/0.78  ; 
% 0.60/0.78  ; Term-hash-array has 2,187 terms in all.
% 0.60/0.78  ; Feature-vector-row-index has 402 entries (402 at peak, 415 added, 13 deleted).
% 0.60/0.78  ; Feature-vector-row-index has 3,655 nodes (3,655 at peak, 3,769 added, 114 deleted).
% 0.60/0.78  ;  Retrieved 436 possibly forward subsuming rows in 436 calls.
% 0.60/0.78  ;  Retrieved 56 possibly backward subsumed rows in 415 calls.
% 0.60/0.78  ; Path-index has 2,113 entries (2,119 at peak, 2,222 added, 109 deleted).
% 0.60/0.78  ; Path-index has 6,227 nodes (6,256 at peak, 6,394 added, 167 deleted).
% 0.60/0.78  ; Trie-index has 2,113 entries (2,119 at peak, 2,222 added, 109 deleted).
% 0.60/0.78  ; Trie-index has 8,138 nodes (8,191 at peak, 8,626 added, 488 deleted).
% 0.60/0.78  ; Retrieved 5,348 generalization terms in 7,266 calls.
% 0.60/0.78  ; Retrieved 878 instance terms in 507 calls.
% 0.60/0.78  ; Retrieved 19,061 unifiable terms in 2,095 calls.
% 0.60/0.78  ; 
% 0.60/0.78  ; The agenda of input rows to give has 7 entries:
% 0.60/0.78  ;     1 with value 36              1 with value 41               1 with value 48
% 0.60/0.78  ;     1 with value 40              2 with value 42               1 with value 51
% 0.60/0.78  ; The agenda of rows to give has 621 entries:
% 0.60/0.78  ;     2 with value (4 5)          21 with value (4 22)           9 with value (4 37)
% 0.60/0.78  ;     5 with value (4 7)          15 with value (4 23)           4 with value (4 38)
% 0.60/0.78  ;     4 with value (4 8)          18 with value (4 24)          14 with value (4 39)
% 0.60/0.78  ;     4 with value (4 9)          16 with value (4 25)          11 with value (4 40)
% 0.60/0.78  ;     5 with value (4 10)         19 with value (4 26)           4 with value (4 41)
% 0.60/0.78  ;     6 with value (4 11)         47 with value (4 27)           5 with value (4 42)
% 0.60/0.78  ;    15 with value (4 12)         27 with value (4 28)           4 with value (4 43)
% 0.60/0.78  ;    17 with value (4 13)         15 with value (4 29)           6 with value (4 44)
% 0.60/0.78  ;    12 with value (4 14)         22 with value (4 30)           1 with value (4 45)
% 0.60/0.78  ;    22 with value (4 15)         24 with value (4 31)           3 with value (4 47)
% 0.60/0.78  ;    14 with value (4 16)         18 with value (4 32)           4 with value (4 48)
% 0.60/0.78  ;    16 with value (4 17)         30 with value (4 33)           1 with value (4 51)
% 0.60/0.78  ;    13 with value (4 18)         38 with value (4 34)           1 with value (4 54)
% 0.60/0.78  ;    18 with value (4 19)         23 with value (4 35)           1 with value (4 58)
% 0.60/0.78  ;    27 with value (4 20)         20 with value (4 36)           1 with value (4 68)
% 0.60/0.78  ;    19 with value (4 21)
% 0.60/0.78  Evaluation took:
% 0.60/0.78    0.309 seconds of real time
% 0.60/0.78    0.280931 seconds of user run time
% 0.60/0.78    0.028183 seconds of system run time
% 0.60/0.78    [Run times include 0.012 seconds GC run time.]
% 0.60/0.78    0 calls to %EVAL
% 0.60/0.78    0 page faults and
% 0.60/0.78    21,549,152 bytes consed.
% 0.60/0.78  :PROOF-FOUND
% 0.60/0.78  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T20:03:37
% 0.60/0.78  :PROOF-FOUND
% 0.60/0.78  * 
%------------------------------------------------------------------------------