TSTP Solution File: COL099-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COL099-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 : Fri Jul 15 00:41:51 EDT 2022

% Result   : Unsatisfiable 0.17s 0.47s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;  11 RR)
%            Number of literals    :   19 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-4 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(r_into_trancl,axiom,
    ( ~ member(pair(X,Y),Z)
    | member(pair(X,Y),trancl(Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',r_into_trancl) ).

cnf(diamond_strip_lemmaD1,axiom,
    ( ~ diamond(X)
    | ~ member(pair(Y,Z),trancl(X))
    | ~ member(pair(Y,U),X)
    | member(pair(U,diamond_strip_lemmaD_sk1(Y,Z,U,X)),trancl(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD1) ).

cnf(diamond_strip_lemmaD2,axiom,
    ( ~ diamond(X)
    | ~ member(pair(Y,Z),trancl(X))
    | ~ member(pair(Y,U),X)
    | member(pair(Z,diamond_strip_lemmaD_sk1(Y,Z,U,X)),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD2) ).

cnf(diamond_trancl_1h1,hypothesis,
    diamond(r),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1h1) ).

cnf(diamond_trancl_1h2,hypothesis,
    member(pair(y,ya),r),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1h2) ).

cnf(diamond_trancl_1c1,negated_conjecture,
    member(pair(y,yp),trancl(r)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1c1) ).

cnf(diamond_trancl_1c2,negated_conjecture,
    ( ~ member(pair(ya,X),trancl(r))
    | ~ member(pair(yp,X),trancl(r)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_trancl_1c2) ).

cnf(24,plain,
    member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,ya,r)),r),
    inference('HYPERRESOLVE',[status(thm)],[diamond_strip_lemmaD2,diamond_trancl_1h1,diamond_trancl_1c1,diamond_trancl_1h2]) ).

cnf(25,plain,
    member(pair(ya,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r)),
    inference('HYPERRESOLVE',[status(thm)],[diamond_strip_lemmaD1,diamond_trancl_1h1,diamond_trancl_1c1,diamond_trancl_1h2]) ).

cnf(43,plain,
    member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r)),
    inference('HYPERRESOLVE',[status(thm)],[r_into_trancl,24]) ).

cnf(45,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[diamond_trancl_1c2,25]),43]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : COL099-1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.12/0.32  % Computer : n032.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Tue May 31 07:51:58 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.17/0.43  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44  * 
% 0.17/0.44  * 
% 0.17/0.44  #<PACKAGE "SNARK-USER">
% 0.17/0.44  * 
% 0.17/0.44  SNARK-TPTP-OPTIONS
% 0.17/0.44  * 
% 0.17/0.44  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.44   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.44   (USE-FACTORING :POS)
% 0.17/0.44   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.44   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.44   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.44   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.44   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.44   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.44   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.44   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.44   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.44   (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.44  * 
% 0.17/0.44  "."
% 0.17/0.44  * 
% 0.17/0.44  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T07:51:58
% 0.17/0.44  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-05-31T07:51:58
% 0.17/0.47  
% 0.17/0.47  
% 0.17/0.47  #||
% 0.17/0.47  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47  % SZS output start Refutation
% See solution above
% 0.17/0.47  ||#
% 0.17/0.47  
% 0.17/0.47  ; Summary of computation:
% 0.17/0.47  ;       118 formulas have been input or derived (from 27 formulas).
% 0.17/0.47  ;        45 (38%) were retained.  Of these,
% 0.17/0.47  ;           45 (100%) are still being kept.
% 0.17/0.47  ; 
% 0.17/0.47  ; Run time in seconds excluding printing time:
% 0.17/0.47  ;     0.002   7%   Read assertion file          (1 call)
% 0.17/0.47  ;     0.001   3%   Assert                       (15 calls)
% 0.17/0.47  ;     0.002   7%   Process new row              (72 calls)
% 0.17/0.47  ;     0.002   7%   Resolution                   (52 calls)
% 0.17/0.47  ;     0.000   0%   Paramodulation               (26 calls)
% 0.17/0.47  ;     0.001   3%   Condensing                   (8 calls)
% 0.17/0.47  ;     0.000   0%   Forward subsumption          (8 calls)
% 0.17/0.47  ;     0.000   0%   Backward subsumption         (8 calls)
% 0.17/0.47  ;     0.000   0%   Clause clause subsumption    (4 calls)
% 0.17/0.47  ;     0.001   3%   Forward simplification       (72 calls)
% 0.17/0.47  ;     0.002   7%   Backward simplification      (45 calls)
% 0.17/0.47  ;     0.000   0%   Ordering                     (3 calls)
% 0.17/0.47  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.17/0.47  ;     0.000   0%   Purity testing               (1 call)
% 0.17/0.47  ;     0.019  63%   Other
% 0.17/0.47  ;     0.030        Total
% 0.17/0.47  ;     0.031        Real time
% 0.17/0.47  ; 
% 0.17/0.47  ; Term-hash-array has 117 terms in all.
% 0.17/0.47  ; Feature-vector-row-index has 8 entries (8 at peak, 8 added, 0 deleted).
% 0.17/0.47  ; Feature-vector-row-index has 45 nodes (45 at peak, 45 added, 0 deleted).
% 0.17/0.47  ;  Retrieved 2 possibly forward subsuming rows in 8 calls.
% 0.17/0.47  ;  Retrieved 2 possibly backward subsumed rows in 8 calls.
% 0.17/0.47  ; Path-index has 123 entries (123 at peak, 123 added, 0 deleted).
% 0.17/0.47  ; Path-index has 193 nodes (193 at peak, 193 added, 0 deleted).
% 0.17/0.47  ; Trie-index has 123 entries (123 at peak, 123 added, 0 deleted).
% 0.17/0.47  ; Trie-index has 312 nodes (312 at peak, 312 added, 0 deleted).
% 0.17/0.47  ; Retrieved 25 generalization terms in 67 calls.
% 0.17/0.47  ; Retrieved 36 instance terms in 36 calls.
% 0.17/0.47  ; Retrieved 1,096 unifiable terms in 410 calls.
% 0.17/0.47  ; 
% 0.17/0.47  ; The agenda of rows to process has 2 entries:
% 0.17/0.47  ;     1 with value 15              1 with value 16
% 0.17/0.47  ; The agenda of rows to give has 18 entries:
% 0.17/0.47  ;     2 with value (4 14)          4 with value (4 16)           8 with value (4 19)
% 0.17/0.47  ;     4 with value (4 15)
% 0.17/0.47  Evaluation took:
% 0.17/0.47    0.031 seconds of real time
% 0.17/0.47    0.024677 seconds of user run time
% 0.17/0.47    0.006767 seconds of system run time
% 0.17/0.47    0 calls to %EVAL
% 0.17/0.47    0 page faults and
% 0.17/0.47    2,620,176 bytes consed.
% 0.17/0.47  :PROOF-FOUND
% 0.17/0.47  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T07:51:58
% 0.17/0.47  :PROOF-FOUND
% 0.17/0.47  * 
%------------------------------------------------------------------------------