TSTP Solution File: SWV543-1.004 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWV543-1.004 : TPTP v8.1.0. Released v4.0.0.
% 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 : Wed Jul 20 21:35:01 EDT 2022

% Result   : Unsatisfiable 2.19s 2.37s
% Output   : Refutation 2.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   25
% Syntax   : Number of clauses     :   51 (  51 unt;   0 nHn;  45 RR)
%            Number of literals    :   51 (  50 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  26 con; 0-3 aty)
%            Number of variables   :   12 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(a1,axiom,
    select(store(X,Y,Z),Y) = Z,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).

cnf(a3,axiom,
    store(store(X,Y,select(X,Z)),Z,select(X,Y)) = store(store(X,Z,select(X,Y)),Y,select(X,Z)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).

cnf(hyp2,hypothesis,
    a_420 = store(a_418,i0,e_419),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).

cnf(hyp3,hypothesis,
    a_422 = store(a_420,i3,e_421),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).

cnf(hyp4,hypothesis,
    a_424 = store(a_422,i3,e_423),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).

cnf(hyp5,hypothesis,
    a_426 = store(a_424,i2,e_425),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).

cnf(hyp6,hypothesis,
    a_428 = store(a_426,i2,e_427),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).

cnf(hyp7,hypothesis,
    a_430 = store(a_428,i0,e_429),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).

cnf(hyp8,hypothesis,
    a_431 = store(a_418,i3,e_421),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).

cnf(hyp9,hypothesis,
    a_432 = store(a_431,i0,e_419),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).

cnf(hyp10,hypothesis,
    a_434 = store(a_432,i3,e_433),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).

cnf(hyp11,hypothesis,
    a_436 = store(a_434,i2,e_435),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).

cnf(hyp12,hypothesis,
    a_438 = store(a_436,i0,e_437),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).

cnf(hyp13,hypothesis,
    a_440 = store(a_438,i2,e_439),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).

cnf(hyp15,hypothesis,
    e_419 = select(a_418,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).

cnf(hyp16,hypothesis,
    e_421 = select(a_418,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).

cnf(hyp17,hypothesis,
    e_423 = select(a_422,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).

cnf(hyp18,hypothesis,
    e_425 = select(a_422,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp18) ).

cnf(hyp19,hypothesis,
    e_427 = select(a_426,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).

cnf(hyp20,hypothesis,
    e_429 = select(a_426,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).

cnf(hyp21,hypothesis,
    e_433 = select(a_432,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).

cnf(hyp22,hypothesis,
    e_435 = select(a_432,i3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp22) ).

cnf(hyp23,hypothesis,
    e_437 = select(a_436,i2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp23) ).

cnf(hyp24,hypothesis,
    e_439 = select(a_436,i0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp24) ).

cnf(goal,negated_conjecture,
    a_430 != a_440,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

cnf(32,plain,
    e_437 = e_435,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1,hyp11,theory(equality)]),hyp23,theory(equality)]) ).

cnf(33,plain,
    a_438 = store(a_436,i0,e_435),
    inference('REWRITE',[status(thm)],[hyp12,32,theory(equality)]) ).

cnf(39,plain,
    e_429 = e_425,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1,hyp5,theory(equality)]),hyp20,theory(equality)]) ).

cnf(40,plain,
    a_430 = store(a_428,i0,e_425),
    inference('REWRITE',[status(thm)],[hyp7,39,theory(equality)]) ).

cnf(41,plain,
    e_425 = select(a_426,i2),
    inference('REWRITE',[status(thm)],[hyp20,39,theory(equality)]) ).

cnf(44,plain,
    e_425 = e_421,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[a1,hyp3,theory(equality)]),hyp18,theory(equality)]) ).

cnf(45,plain,
    a_426 = store(a_424,i2,e_421),
    inference('REWRITE',[status(thm)],[hyp5,44,theory(equality)]) ).

cnf(48,plain,
    a_430 = store(a_428,i0,e_421),
    inference('REWRITE',[status(thm)],[40,44,theory(equality)]) ).

cnf(49,plain,
    e_421 = select(a_426,i2),
    inference('REWRITE',[status(thm)],[41,44,theory(equality)]) ).

cnf(72,plain,
    select(store(store(X,Y,select(X,Z)),Z,select(X,Y)),Y) = select(X,Z),
    inference('PARAMODULATE',[status(thm)],[a1,a3,theory(equality)]) ).

cnf(76,plain,
    store(store(a_426,X,e_421),i2,select(a_426,X)) = store(store(a_426,i2,select(a_426,X)),X,e_421),
    inference('PARAMODULATE',[status(thm)],[a3,49,theory(equality)]) ).

cnf(77,plain,
    store(store(a_418,X,e_419),i3,select(a_418,X)) = store(store(a_418,i3,select(a_418,X)),X,e_419),
    inference('PARAMODULATE',[status(thm)],[a3,hyp15,theory(equality)]) ).

cnf(766,plain,
    select(store(store(a_418,X,e_421),i0,select(a_418,X)),X) = e_421,
    inference('PARAMODULATE',[status(thm)],[72,hyp16,theory(equality)]) ).

cnf(1427,plain,
    e_435 = e_421,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[766,hyp8,theory(equality)]),hyp22,hyp9,hyp15,theory(equality)]) ).

cnf(1428,plain,
    a_436 = store(a_434,i2,e_421),
    inference('REWRITE',[status(thm)],[hyp11,1427,theory(equality)]) ).

cnf(1431,plain,
    a_438 = store(a_436,i0,e_421),
    inference('REWRITE',[status(thm)],[33,1427,theory(equality)]) ).

cnf(2257,plain,
    store(store(a_426,i0,e_421),i2,e_427) = a_430,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[76,hyp19,theory(equality)]),48,hyp6,theory(equality)]) ).

cnf(2314,plain,
    a_422 = a_432,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[77,hyp16,theory(equality)]),hyp9,hyp8,hyp3,hyp2,theory(equality)]) ).

cnf(2316,plain,
    a_434 = store(a_422,i3,e_433),
    inference('REWRITE',[status(thm)],[hyp10,2314,theory(equality)]) ).

cnf(2317,plain,
    e_423 = e_433,
    inference('REWRITE',[status(thm)],[hyp21,hyp17,2314,theory(equality)]) ).

cnf(2525,plain,
    a_434 = a_424,
    inference('REWRITE',[status(thm)],[2316,hyp4,2317,theory(equality)]) ).

cnf(2545,plain,
    a_436 = a_426,
    inference('REWRITE',[status(thm)],[1428,45,2525,theory(equality)]) ).

cnf(2546,plain,
    e_439 = e_427,
    inference('REWRITE',[status(thm)],[hyp24,hyp19,2545,theory(equality)]) ).

cnf(2547,plain,
    a_440 = store(a_438,i2,e_427),
    inference('REWRITE',[status(thm)],[hyp13,2546,theory(equality)]) ).

cnf(2586,plain,
    a_438 = store(a_426,i0,e_421),
    inference('REWRITE',[status(thm)],[1431,2545,theory(equality)]) ).

cnf(2592,plain,
    $false,
    inference('REWRITE',[status(thm)],[2257,goal,2547,2586,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWV543-1.004 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n027.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 : Tue Jun 14 23:37:19 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T23:37:19
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-14T23:37:19
% 2.19/2.37  
% 2.19/2.37  
% 2.19/2.37  #||
% 2.19/2.37  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.19/2.37  % SZS output start Refutation
% See solution above
% 2.19/2.37  ||#
% 2.19/2.37  
% 2.19/2.37  ; Summary of computation:
% 2.19/2.37  ;      9926 formulas have been input or derived (from 513 formulas).
% 2.19/2.37  ;      2592 (26%) were retained.  Of these,
% 2.19/2.37  ;         2051 (79%) were simplified or subsumed later,
% 2.19/2.37  ;          541 (21%) are still being kept.
% 2.19/2.37  ; 
% 2.19/2.37  ; Run time in seconds excluding printing time:
% 2.19/2.37  ;     0.004   0%   Read assertion file          (1 call)
% 2.19/2.37  ;     0.001   0%   Assert                       (29 calls)
% 2.19/2.37  ;     0.270  14%   Process new row              (9,385 calls)
% 2.19/2.37  ;     0.010   1%   Resolution                   (1,024 calls)
% 2.19/2.37  ;     0.172   9%   Paramodulation               (512 calls)
% 2.19/2.37  ;     0.001   0%   Factoring                    (379 calls)
% 2.19/2.37  ;     0.022   1%   Condensing                   (5,476 calls)
% 2.19/2.37  ;     0.748  40%   Forward subsumption          (5,476 calls)
% 2.19/2.37  ;     0.120   6%   Backward subsumption         (2,184 calls)
% 2.19/2.37  ;     0.029   2%   Clause clause subsumption    (6,931 calls)
% 2.19/2.37  ;     0.244  13%   Forward simplification       (9,357 calls)
% 2.19/2.37  ;     0.093   5%   Backward simplification      (2,592 calls)
% 2.19/2.37  ;     0.114   6%   Ordering                     (72,850 calls)
% 2.19/2.37  ;     0.001   0%   Sortal reasoning             (32 calls)
% 2.19/2.37  ;     0.000   0%   Purity testing               (1 call)
% 2.19/2.37  ;     0.053   3%   Other
% 2.19/2.37  ;     1.882        Total
% 2.19/2.37  ;     1.885        Real time
% 2.19/2.37  ; 
% 2.19/2.37  ; Term-hash-array has 2,780 terms in all.
% 2.19/2.37  ; Feature-vector-row-index has 354 entries (1,328 at peak, 2,184 added, 1,830 deleted).
% 2.19/2.37  ; Feature-vector-row-index has 4,056 nodes (14,757 at peak, 22,316 added, 18,260 deleted).
% 2.19/2.37  ;  Retrieved 18,118 possibly forward subsuming rows in 5,476 calls.
% 2.19/2.37  ;  Retrieved 626 possibly backward subsumed rows in 2,184 calls.
% 2.19/2.37  ; Path-index has 1,483 entries (2,227 at peak, 2,897 added, 1,414 deleted).
% 2.19/2.37  ; Path-index has 1,255 nodes (1,460 at peak, 2,197 added, 942 deleted).
% 2.19/2.37  ; Trie-index has 1,483 entries (2,227 at peak, 2,897 added, 1,414 deleted).
% 2.19/2.37  ; Trie-index has 11,123 nodes (15,813 at peak, 21,944 added, 10,821 deleted).
% 2.19/2.37  ; Retrieved 5,100 generalization terms in 48,784 calls.
% 2.19/2.37  ; Retrieved 409 instance terms in 408 calls.
% 2.19/2.37  ; Retrieved 3,709 unifiable terms in 3,346 calls.
% 2.19/2.37  ; 
% 2.19/2.37  ; The agenda of backward simplifiable rows to process has 406 entries:
% 2.19/2.37  ;   406 with value 0
% 2.19/2.37  ; The agenda of rows to process has 12 entries:
% 2.19/2.37  ;     1 with value 20              1 with value 29               1 with value 35
% 2.19/2.37  ;     1 with value 24              3 with value 30               2 with value 36
% 2.19/2.37  ;     2 with value 26              1 with value 32
% 2.19/2.37  ; The agenda of input rows to give has 7 entries:
% 2.19/2.37  ;     4 with value 4               3 with value 8
% 2.19/2.37  ; The agenda of rows to give has 407 entries:
% 2.19/2.37  ;     1 with value (4 6)          32 with value (4 28)           2 with value (4 42)
% 2.19/2.37  ;     1 with value (4 8)          21 with value (4 29)           1 with value (4 45)
% 2.19/2.37  ;     1 with value (4 13)         31 with value (4 30)           1 with value (4 46)
% 2.19/2.37  ;     1 with value (4 14)         30 with value (4 31)           6 with value (4 48)
% 2.19/2.37  ;     3 with value (4 19)         25 with value (4 32)           2 with value (4 49)
% 2.19/2.37  ;     1 with value (4 20)         28 with value (4 33)           4 with value (4 53)
% 2.19/2.37  ;     1 with value (4 21)         12 with value (4 34)           5 with value (4 54)
% 2.19/2.37  ;     2 with value (4 22)         13 with value (4 35)           5 with value (4 55)
% 2.19/2.37  ;     1 with value (4 23)         10 with value (4 36)           5 with value (4 57)
% 2.19/2.37  ;    38 with value (4 24)         15 with value (4 37)           2 with value (4 58)
% 2.19/2.37  ;    14 with value (4 25)         21 with value (4 38)          16 with value (4 60)
% 2.19/2.37  ;    11 with value (4 26)          7 with value (4 39)           4 with value (4 62)
% 2.19/2.37  ;    20 with value (4 27)         13 with value (4 40)           1 with value (4 72)
% 2.19/2.37  Evaluation took:
% 2.19/2.37    1.886 seconds of real time
% 2.19/2.37    1.697817 seconds of user run time
% 2.19/2.37    0.188204 seconds of system run time
% 2.19/2.37    [Run times include 0.132 seconds GC run time.]
% 2.19/2.37    0 calls to %EVAL
% 2.19/2.37    0 page faults and
% 2.19/2.37    180,516,816 bytes consed.
% 2.19/2.37  :PROOF-FOUND
% 2.19/2.37  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T23:37:21
% 2.19/2.37  :PROOF-FOUND
% 2.19/2.37  * 
%------------------------------------------------------------------------------