TSTP Solution File: SWC357-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC357-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 : Tue Jul 19 21:58:22 EDT 2022

% Result   : Unsatisfiable 55.30s 55.48s
% Output   : Refutation 55.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   20 (  14 unt;   2 nHn;  19 RR)
%            Number of literals    :   34 (  12 equ;  16 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   13 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).

cnf(clause51,axiom,
    ssList(skaf45(X,Y)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).

cnf(clause74,axiom,
    ( ~ ssList(X)
    | app(nil,X) = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).

cnf(clause115,axiom,
    ( Y != X
    | ~ neq(X,Y)
    | ~ ssList(Y)
    | ~ ssList(X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause115) ).

cnf(clause132,axiom,
    ( ~ frontsegP(X,Y)
    | ~ ssList(Y)
    | ~ ssList(X)
    | app(Y,skaf45(X,Y)) = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).

cnf(clause173,axiom,
    ( app(app(X,Y),Z) != U
    | ~ ssList(Z)
    | ~ ssList(X)
    | ~ ssList(Y)
    | ~ ssList(U)
    | segmentP(U,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).

cnf(co1_1,negated_conjecture,
    ssList(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

cnf(co1_7,negated_conjecture,
    neq(sk2,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(co1_8,negated_conjecture,
    ~ segmentP(sk2,sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

cnf(co1_10,negated_conjecture,
    ( nil = sk4
    | frontsegP(sk4,sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(194,plain,
    ( nil = sk2
    | frontsegP(sk2,sk1) ),
    inference('REWRITE',[status(thm)],[co1_10,co1_6,co1_5,theory(equality)]) ).

cnf(623,plain,
    app(nil,sk1) = sk1,
    inference('HYPERRESOLVE',[status(thm)],[clause74,co1_1]) ).

cnf(4320,plain,
    nil != sk2,
    inference('UR-RESOLVE',[status(thm)],[clause115,co1_7,clause8,co1_2]) ).

cnf(4322,plain,
    frontsegP(sk2,sk1),
    inference('REWRITE',[status(thm)],[194,4320]) ).

cnf(9314,plain,
    app(sk1,skaf45(sk2,sk1)) = sk2,
    inference('HYPERRESOLVE',[status(thm)],[clause132,4322,co1_1,co1_2]) ).

cnf(54429,plain,
    app(sk1,skaf45(X,Y)) != sk2,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause173,clause51,clause8,co1_1,co1_2,co1_8]),623,theory(equality)]) ).

cnf(54430,plain,
    $false,
    inference('REWRITE',[status(thm)],[9314,54429]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC357-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n028.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 : Sun Jun 12 07:14:36 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-12T07:14:36
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-12T07:14:36
% 55.30/55.48  
% 55.30/55.48  
% 55.30/55.48  #||
% 55.30/55.48  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.30/55.48  % SZS output start Refutation
% See solution above
% 55.30/55.48  ||#
% 55.30/55.48  
% 55.30/55.48  ; Summary of computation:
% 55.30/55.48  ;    109690 formulas have been input or derived (from 179 formulas).
% 55.30/55.48  ;     54430 (50%) were retained.  Of these,
% 55.30/55.48  ;         2527 ( 5%) were simplified or subsumed later,
% 55.30/55.48  ;        51903 (95%) are still being kept.
% 55.30/55.48  ; 
% 55.30/55.48  ; Run time in seconds excluding printing time:
% 55.30/55.48  ;     0.036   0%   Read assertion file          (1 call)
% 55.30/55.48  ;     0.005   0%   Assert                       (197 calls)
% 55.30/55.48  ;     5.705  10%   Process new row              (104,458 calls)
% 55.30/55.48  ;    42.203  77%   Resolution                   (356 calls)
% 55.30/55.48  ;     0.036   0%   Paramodulation               (178 calls)
% 55.30/55.48  ;     0.000   0%   Factoring                    (4 calls)
% 55.30/55.48  ;     0.020   0%   Condensing                   (3,175 calls)
% 55.30/55.48  ;     0.061   0%   Forward subsumption          (3,175 calls)
% 55.30/55.48  ;     0.132   0%   Backward subsumption         (3,145 calls)
% 55.30/55.48  ;     0.000   0%   Clause clause subsumption    (1,286 calls)
% 55.30/55.48  ;     2.256   4%   Forward simplification       (104,458 calls)
% 55.30/55.48  ;     3.531   6%   Backward simplification      (54,426 calls)
% 55.30/55.48  ;     0.620   1%   Ordering                     (111,722 calls)
% 55.30/55.48  ;     0.000   0%   Sortal reasoning             (32 calls)
% 55.30/55.48  ;     0.001   0%   Purity testing               (1 call)
% 55.30/55.48  ;     0.379   1%   Other
% 55.30/55.48  ;    54.985        Total
% 55.30/55.48  ;    54.996        Real time
% 55.30/55.49  ; 
% 55.30/55.49  ; Term-hash-array has 143,923 terms in all.
% 55.30/55.49  ; Feature-vector-row-index has 3,092 entries (3,094 at peak, 3,145 added, 53 deleted).
% 55.30/55.49  ; Feature-vector-row-index has 4,031 nodes (4,037 at peak, 4,398 added, 367 deleted).
% 55.30/55.49  ;  Retrieved 11,907 possibly forward subsuming rows in 3,175 calls.
% 55.30/55.49  ;  Retrieved 11,284 possibly backward subsumed rows in 3,145 calls.
% 55.30/55.49  ; Path-index has 140,368 entries (140,371 at peak, 144,018 added, 3,650 deleted).
% 55.30/55.49  ; Path-index has 7,286 nodes (7,292 at peak, 7,841 added, 555 deleted).
% 55.30/55.49  ; Trie-index has 140,368 entries (140,371 at peak, 144,018 added, 3,650 deleted).
% 55.30/55.49  ; Trie-index has 682,276 nodes (682,283 at peak, 693,061 added, 10,785 deleted).
% 55.30/55.49  ; Retrieved 95,283 generalization terms in 535,242 calls.
% 55.30/55.49  ; Retrieved 94,867 instance terms in 93,562 calls.
% 55.30/55.49  ; Retrieved 141,971,484 unifiable terms in 3,198,330 calls.
% 55.30/55.49  ; 
% 55.30/55.49  ; The agenda of rows to process has 756 entries:
% 55.30/55.49  ;     9 with value 13            252 with value 15              36 with value 16
% 55.30/55.49  ;   459 with value 14
% 55.30/55.49  ; The agenda of input rows to give has 17 entries:
% 55.30/55.49  ;     1 with value 26              7 with value 32               2 with value 40
% 55.30/55.49  ;     1 with value 27              1 with value 33               3 with value 44
% 55.30/55.49  ;     1 with value 29              1 with value 35
% 55.30/55.49  ; The agenda of rows to give has 51712 entries:
% 55.30/55.49  ;    39 with value (4 5)         659 with value (4 14)       11955 with value (4 22)
% 55.30/55.49  ;     4 with value (4 6)        1616 with value (4 15)        1593 with value (4 23)
% 55.30/55.49  ;   100 with value (4 7)         681 with value (4 16)        9246 with value (4 24)
% 55.30/55.49  ;   191 with value (4 8)        2391 with value (4 17)        7119 with value (4 25)
% 55.30/55.49  ;   225 with value (4 9)        2367 with value (4 18)        2466 with value (4 26)
% 55.30/55.49  ;   584 with value (4 10)        246 with value (4 19)        3906 with value (4 27)
% 55.30/55.49  ;   388 with value (4 11)       3585 with value (4 20)         222 with value (4 28)
% 55.30/55.49  ;   261 with value (4 12)        552 with value (4 21)         576 with value (4 29)
% 55.30/55.49  ;   740 with value (4 13)
% 55.30/55.49  Evaluation took:
% 55.30/55.49    55.0 seconds of real time
% 55.30/55.49    53.895496 seconds of user run time
% 55.30/55.49    1.095493 seconds of system run time
% 55.30/55.49    [Run times include 8.226 seconds GC run time.]
% 55.30/55.49    0 calls to %EVAL
% 55.30/55.49    0 page faults and
% 55.30/55.49    4,370,166,944 bytes consed.
% 55.30/55.49  :PROOF-FOUND
% 55.30/55.49  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T07:15:31
% 55.30/55.49  :PROOF-FOUND
% 55.30/55.49  * 
%------------------------------------------------------------------------------