TSTP Solution File: SWC373-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC373-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n013.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 21:58:29 EDT 2022

% Result   : Unsatisfiable 57.12s 57.31s
% Output   : Refutation 57.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   18 (  14 unt;   0 nHn;  16 RR)
%            Number of literals    :   30 (  10 equ;  14 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   16 (   4 sgn)

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

cnf(clause50,axiom,
    ssList(skaf46(X,Y)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).

cnf(clause73,axiom,
    ( ~ ssList(X)
    | app(X,nil) = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).

cnf(clause131,axiom,
    ( ~ rearsegP(X,Y)
    | ~ ssList(Y)
    | ~ ssList(X)
    | app(skaf46(X,Y),Y) = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).

cnf(clause149,axiom,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ ssList(Z)
    | app(app(Z,Y),X) = app(Z,app(Y,X)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause149) ).

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,
    rearsegP(sk4,sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

cnf(190,plain,
    rearsegP(sk2,sk1),
    inference('REWRITE',[status(thm)],[co1_7,co1_6,co1_5,theory(equality)]) ).

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

cnf(586,plain,
    app(sk1,nil) = sk1,
    inference('HYPERRESOLVE',[status(thm)],[clause73,co1_1]) ).

cnf(9299,plain,
    app(skaf46(sk2,sk1),sk1) = sk2,
    inference('HYPERRESOLVE',[status(thm)],[clause131,190,co1_1,co1_2]) ).

cnf(12096,plain,
    app(app(skaf46(X,Y),sk1),nil) = app(skaf46(X,Y),sk1),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause149,clause8,co1_1,clause50]),586,theory(equality)]) ).

cnf(54439,plain,
    app(skaf46(X,Y),sk1) != sk2,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause173,clause8,clause50,co1_1,co1_2,co1_8]),12096,theory(equality)]) ).

cnf(54440,plain,
    $false,
    inference('REWRITE',[status(thm)],[9299,54439]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC373-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 12 15:26:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.20/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45  * 
% 0.20/0.45  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T15:26:59
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-12T15:26:59
% 57.12/57.31  
% 57.12/57.31  
% 57.12/57.31  #||
% 57.12/57.31  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 57.12/57.31  % SZS output start Refutation
% See solution above
% 57.12/57.32  ||#
% 57.12/57.32  
% 57.12/57.32  ; Summary of computation:
% 57.12/57.32  ;    109673 formulas have been input or derived (from 173 formulas).
% 57.12/57.32  ;     54440 (50%) were retained.  Of these,
% 57.12/57.32  ;         2514 ( 5%) were simplified or subsumed later,
% 57.12/57.32  ;        51926 (95%) are still being kept.
% 57.12/57.32  ; 
% 57.12/57.32  ; Run time in seconds excluding printing time:
% 57.12/57.32  ;     0.036   0%   Read assertion file          (1 call)
% 57.12/57.32  ;     0.005   0%   Assert                       (193 calls)
% 57.12/57.32  ;     5.324   9%   Process new row              (104,469 calls)
% 57.12/57.32  ;    44.502  78%   Resolution                   (344 calls)
% 57.12/57.32  ;     0.039   0%   Paramodulation               (172 calls)
% 57.12/57.32  ;     0.031   0%   Condensing                   (3,298 calls)
% 57.12/57.32  ;     0.051   0%   Forward subsumption          (3,298 calls)
% 57.12/57.32  ;     0.158   0%   Backward subsumption         (3,267 calls)
% 57.12/57.32  ;     0.007   0%   Clause clause subsumption    (1,288 calls)
% 57.12/57.32  ;     2.474   4%   Forward simplification       (104,469 calls)
% 57.12/57.32  ;     3.255   6%   Backward simplification      (54,439 calls)
% 57.12/57.32  ;     0.649   1%   Ordering                     (111,814 calls)
% 57.12/57.32  ;     0.000   0%   Sortal reasoning             (32 calls)
% 57.12/57.32  ;     0.001   0%   Purity testing               (1 call)
% 57.12/57.32  ;     0.321   1%   Other
% 57.12/57.32  ;    56.853        Total
% 57.12/57.32  ;    56.854        Real time
% 57.12/57.32  ; 
% 57.12/57.32  ; Term-hash-array has 143,948 terms in all.
% 57.12/57.32  ; Feature-vector-row-index has 3,222 entries (3,224 at peak, 3,267 added, 45 deleted).
% 57.12/57.32  ; Feature-vector-row-index has 4,529 nodes (4,531 at peak, 4,858 added, 329 deleted).
% 57.12/57.32  ;  Retrieved 11,996 possibly forward subsuming rows in 3,298 calls.
% 57.12/57.32  ;  Retrieved 11,373 possibly backward subsumed rows in 3,267 calls.
% 57.12/57.32  ; Path-index has 140,393 entries (140,396 at peak, 144,033 added, 3,640 deleted).
% 57.12/57.32  ; Path-index has 7,360 nodes (7,366 at peak, 7,907 added, 547 deleted).
% 57.12/57.32  ; Trie-index has 140,393 entries (140,396 at peak, 144,033 added, 3,640 deleted).
% 57.12/57.32  ; Trie-index has 682,353 nodes (682,362 at peak, 693,130 added, 10,777 deleted).
% 57.12/57.32  ; Retrieved 95,173 generalization terms in 534,372 calls.
% 57.12/57.32  ; Retrieved 94,758 instance terms in 93,453 calls.
% 57.12/57.32  ; Retrieved 141,966,595 unifiable terms in 3,198,292 calls.
% 57.12/57.32  ; 
% 57.12/57.32  ; The agenda of rows to process has 731 entries:
% 57.12/57.32  ;   443 with value 14            252 with value 15              36 with value 16
% 57.12/57.32  ; The agenda of input rows to give has 17 entries:
% 57.12/57.32  ;     1 with value 26              7 with value 32               2 with value 40
% 57.12/57.32  ;     1 with value 27              1 with value 33               3 with value 44
% 57.12/57.32  ;     1 with value 29              1 with value 35
% 57.12/57.32  ; The agenda of rows to give has 51737 entries:
% 57.12/57.32  ;    35 with value (4 5)         645 with value (4 14)       11967 with value (4 22)
% 57.12/57.32  ;   100 with value (4 7)        1624 with value (4 15)        1593 with value (4 23)
% 57.12/57.32  ;   191 with value (4 8)         639 with value (4 16)        9246 with value (4 24)
% 57.12/57.32  ;   229 with value (4 9)        2437 with value (4 17)        7119 with value (4 25)
% 57.12/57.32  ;   588 with value (4 10)       2369 with value (4 18)        2466 with value (4 26)
% 57.12/57.32  ;   387 with value (4 11)        246 with value (4 19)        3906 with value (4 27)
% 57.12/57.32  ;   261 with value (4 12)       3627 with value (4 20)         222 with value (4 28)
% 57.12/57.32  ;   712 with value (4 13)        552 with value (4 21)         576 with value (4 29)
% 57.12/57.32  Evaluation took:
% 57.12/57.32    56.86 seconds of real time
% 57.12/57.32    55.793858 seconds of user run time
% 57.12/57.32    1.066717 seconds of system run time
% 57.12/57.32    [Run times include 8.292 seconds GC run time.]
% 57.12/57.32    0 calls to %EVAL
% 57.12/57.32    0 page faults and
% 57.12/57.32    4,372,886,288 bytes consed.
% 57.12/57.32  :PROOF-FOUND
% 57.12/57.32  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T15:27:55
% 57.12/57.32  :PROOF-FOUND
% 57.12/57.32  * 
%------------------------------------------------------------------------------