TSTP Solution File: SWC363-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC363-1 : 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 21:58:25 EDT 2022

% Result   : Unsatisfiable 56.68s 56.85s
% Output   : Refutation 56.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   23 (  16 unt;   0 nHn;  19 RR)
%            Number of literals    :   39 (  12 equ;  18 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   25 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause52,axiom,
    ssList(skaf43(X,Y)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause52) ).

cnf(clause53,axiom,
    ssList(skaf42(X,Y)),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause53) ).

cnf(clause120,axiom,
    ( ~ ssItem(X)
    | ~ ssList(Y)
    | app(cons(X,nil),Y) = cons(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).

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(clause169,axiom,
    ( ~ memberP(X,Y)
    | ~ ssItem(Y)
    | ~ ssList(X)
    | app(skaf42(X,Y),cons(Y,skaf43(Y,X))) = X ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause169) ).

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,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

cnf(194,plain,
    ssItem(sk5),
    inference('REWRITE',[status(thm)],[co1_10,co1_7,co1_5,theory(equality)]) ).

cnf(co1_11,negated_conjecture,
    ( cons(sk5,nil) = sk3
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

cnf(196,plain,
    cons(sk5,nil) = sk1,
    inference('REWRITE',[status(thm)],[co1_11,co1_7,co1_5,co1_6,theory(equality)]) ).

cnf(co1_12,negated_conjecture,
    ( memberP(sk4,sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

cnf(198,plain,
    memberP(sk2,sk5),
    inference('REWRITE',[status(thm)],[co1_12,co1_7,co1_5,theory(equality)]) ).

cnf(6296,plain,
    app(sk1,skaf43(X,Y)) = cons(sk5,skaf43(X,Y)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause120,194,clause52]),196,theory(equality)]) ).

cnf(27134,plain,
    app(app(skaf42(X,Y),sk1),skaf43(Z,U)) = app(skaf42(X,Y),app(sk1,skaf43(Z,U))),
    inference('HYPERRESOLVE',[status(thm)],[clause149,clause52,co1_1,clause53]) ).

cnf(52891,plain,
    app(app(skaf42(sk2,sk5),sk1),skaf43(sk5,sk2)) = sk2,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause169,198,194,co1_2]),27134,6296,theory(equality)]) ).

cnf(56788,plain,
    app(app(skaf42(X,Y),sk1),skaf43(Z,U)) != sk2,
    inference('UR-RESOLVE',[status(thm)],[clause173,clause52,clause53,co1_1,co1_2,co1_8]) ).

cnf(56789,plain,
    $false,
    inference('REWRITE',[status(thm)],[52891,56788]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC363-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 12 17:43:06 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T17:43:07
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-12T17:43:07
% 56.68/56.85  
% 56.68/56.85  
% 56.68/56.85  #||
% 56.68/56.85  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 56.68/56.85  % SZS output start Refutation
% See solution above
% 56.68/56.85  ||#
% 56.68/56.85  
% 56.68/56.85  ; Summary of computation:
% 56.68/56.85  ;    113190 formulas have been input or derived (from 178 formulas).
% 56.68/56.85  ;     56789 (50%) were retained.  Of these,
% 56.68/56.85  ;         2669 ( 5%) were simplified or subsumed later,
% 56.68/56.85  ;        54120 (95%) are still being kept.
% 56.68/56.85  ; 
% 56.68/56.85  ; Run time in seconds excluding printing time:
% 56.68/56.85  ;     0.036   0%   Read assertion file          (1 call)
% 56.68/56.85  ;     0.007   0%   Assert                       (197 calls)
% 56.68/56.85  ;     5.502  10%   Process new row              (108,623 calls)
% 56.68/56.85  ;    43.662  77%   Resolution                   (354 calls)
% 56.68/56.85  ;     0.042   0%   Paramodulation               (177 calls)
% 56.68/56.85  ;     0.027   0%   Condensing                   (3,210 calls)
% 56.68/56.85  ;     0.041   0%   Forward subsumption          (3,210 calls)
% 56.68/56.85  ;     0.181   0%   Backward subsumption         (3,178 calls)
% 56.68/56.85  ;     0.002   0%   Clause clause subsumption    (1,324 calls)
% 56.68/56.85  ;     2.209   4%   Forward simplification       (108,623 calls)
% 56.68/56.85  ;     3.596   6%   Backward simplification      (56,785 calls)
% 56.68/56.85  ;     0.655   1%   Ordering                     (113,374 calls)
% 56.68/56.85  ;     0.000   0%   Sortal reasoning             (32 calls)
% 56.68/56.85  ;     0.001   0%   Purity testing               (1 call)
% 56.68/56.85  ;     0.412   1%   Other
% 56.68/56.85  ;    56.373        Total
% 56.68/56.85  ;    56.374        Real time
% 56.68/56.86  ; 
% 56.68/56.86  ; Term-hash-array has 147,231 terms in all.
% 56.68/56.86  ; Feature-vector-row-index has 3,130 entries (3,132 at peak, 3,178 added, 48 deleted).
% 56.68/56.86  ; Feature-vector-row-index has 4,073 nodes (4,077 at peak, 4,423 added, 350 deleted).
% 56.68/56.86  ;  Retrieved 11,988 possibly forward subsuming rows in 3,210 calls.
% 56.68/56.86  ;  Retrieved 11,356 possibly backward subsumed rows in 3,178 calls.
% 56.68/56.86  ; Path-index has 143,470 entries (143,475 at peak, 147,325 added, 3,855 deleted).
% 56.68/56.86  ; Path-index has 7,369 nodes (7,383 at peak, 7,939 added, 570 deleted).
% 56.68/56.86  ; Trie-index has 143,470 entries (143,475 at peak, 147,325 added, 3,855 deleted).
% 56.68/56.86  ; Trie-index has 694,486 nodes (694,506 at peak, 705,843 added, 11,357 deleted).
% 56.68/56.86  ; Retrieved 100,854 generalization terms in 560,385 calls.
% 56.68/56.86  ; Retrieved 97,193 instance terms in 95,888 calls.
% 56.68/56.86  ; Retrieved 147,719,310 unifiable terms in 3,337,187 calls.
% 56.68/56.86  ; 
% 56.68/56.86  ; The agenda of rows to process has 29 entries:
% 56.68/56.86  ;    29 with value 16
% 56.68/56.86  ; The agenda of input rows to give has 17 entries:
% 56.68/56.86  ;     1 with value 26              7 with value 32               2 with value 40
% 56.68/56.86  ;     1 with value 27              1 with value 33               3 with value 44
% 56.68/56.86  ;     1 with value 29              1 with value 35
% 56.68/56.86  ; The agenda of rows to give has 53927 entries:
% 56.68/56.86  ;     8 with value (4 4)         863 with value (4 13)       12207 with value (4 22)
% 56.68/56.86  ;    49 with value (4 5)        1124 with value (4 14)        1593 with value (4 23)
% 56.68/56.86  ;     2 with value (4 6)        1914 with value (4 15)        9282 with value (4 24)
% 56.68/56.86  ;   101 with value (4 7)         893 with value (4 16)        7119 with value (4 25)
% 56.68/56.86  ;   201 with value (4 8)        2391 with value (4 17)        2466 with value (4 26)
% 56.68/56.86  ;   229 with value (4 9)        2450 with value (4 18)        3906 with value (4 27)
% 56.68/56.86  ;   697 with value (4 10)        246 with value (4 19)         222 with value (4 28)
% 56.68/56.86  ;   489 with value (4 11)       4050 with value (4 20)         576 with value (4 29)
% 56.68/56.86  ;   297 with value (4 12)        552 with value (4 21)
% 56.68/56.86  Evaluation took:
% 56.68/56.86    56.379 seconds of real time
% 56.68/56.86    55.199905 seconds of user run time
% 56.68/56.86    1.178 seconds of system run time
% 56.68/56.86    [Run times include 6.917 seconds GC run time.]
% 56.68/56.86    0 calls to %EVAL
% 56.68/56.86    0 page faults and
% 56.68/56.86    4,520,646,392 bytes consed.
% 56.68/56.86  :PROOF-FOUND
% 56.68/56.86  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-12T17:44:03
% 56.68/56.86  :PROOF-FOUND
% 56.68/56.86  * 
%------------------------------------------------------------------------------