TSTP Solution File: COL091-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COL091-1 : 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 00:41:50 EDT 2022

% Result   : Unsatisfiable 3.91s 4.16s
% Output   : Refutation 3.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   17 (  10 unt;   1 nHn;  17 RR)
%            Number of literals    :   27 (   6 equ;  13 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   28 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(k_app,axiom,
    combK != comb_app(X,Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_app) ).

cnf(ap_contractE1,axiom,
    ( ~ member(pair(comb_app(X,Y),Z),contract)
    | ap_contractE_c1(X,Y,Z)
    | ap_contractE_c2(X,Y,Z)
    | ap_contractE_c3(X,Y,Z)
    | ap_contractE_c4(X,Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE1) ).

cnf(ap_contractE4,axiom,
    ( ~ ap_contractE_c1(X,Y,Z)
    | X = comb_app(combK,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE4) ).

cnf(ap_contractE9,axiom,
    ( ~ ap_contractE_c2(X,Y,Z)
    | X = comb_app(comb_app(combS,ap_contractE_sk1p(X,Y,Z)),ap_contractE_sk1q(X,Y,Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE9) ).

cnf(ap_contractE10,axiom,
    ( ~ ap_contractE_c3(X,Y,Z)
    | member(pair(X,ap_contractE_sk2q(X,Y,Z)),contract) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE10) ).

cnf(ap_contractE13,axiom,
    ( ~ ap_contractE_c4(X,Y,Z)
    | member(pair(Y,ap_contractE_sk3q(X,Y,Z)),contract) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE13) ).

cnf(ap_contractE15,axiom,
    ( ~ ap_contractE_c4(X,Y,Z)
    | Z = comb_app(X,ap_contractE_sk3q(X,Y,Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE15) ).

cnf(k_contractE,axiom,
    ~ member(pair(combK,X),contract),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_contractE) ).

cnf(k1_contractD_h1,hypothesis,
    member(pair(comb_app(combK,p),r),contract),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k1_contractD_h1) ).

cnf(k1_contractD_c1,negated_conjecture,
    ( r != comb_app(combK,X)
    | ~ member(pair(p,X),contract) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k1_contractD_c1) ).

cnf(36,plain,
    ~ ap_contractE_c1(combK,X,Y),
    inference('UR-RESOLVE',[status(thm)],[ap_contractE4,k_app]) ).

cnf(48,plain,
    ~ ap_contractE_c3(combK,X,Y),
    inference('UR-RESOLVE',[status(thm)],[ap_contractE10,k_contractE]) ).

cnf(60,plain,
    ~ ap_contractE_c2(combK,X,Y),
    inference('UR-RESOLVE',[status(thm)],[ap_contractE9,k_app]) ).

cnf(64,plain,
    ap_contractE_c4(combK,p,r),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[ap_contractE1,k1_contractD_h1]),48,60,36]) ).

cnf(81,plain,
    r = comb_app(combK,ap_contractE_sk3q(combK,p,r)),
    inference('HYPERRESOLVE',[status(thm)],[ap_contractE15,64]) ).

cnf(82,plain,
    member(pair(p,ap_contractE_sk3q(combK,p,r)),contract),
    inference('HYPERRESOLVE',[status(thm)],[ap_contractE13,64]) ).

cnf(11883,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[k1_contractD_c1,81]),82]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : COL091-1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.08  % Command  : run-snark %s %d
% 0.07/0.26  % Computer : n032.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 600
% 0.07/0.26  % DateTime : Tue May 31 06:35:43 EDT 2022
% 0.07/0.26  % CPUTime  : 
% 0.11/0.33  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34  * 
% 0.11/0.34  * 
% 0.11/0.34  #<PACKAGE "SNARK-USER">
% 0.11/0.34  * 
% 0.11/0.34  SNARK-TPTP-OPTIONS
% 0.11/0.34  * 
% 0.11/0.34  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.11/0.34   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.11/0.34   (USE-FACTORING :POS)
% 0.11/0.34   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.11/0.34   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.11/0.34   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.11/0.34   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.11/0.34   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.11/0.34   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.11/0.34   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.11/0.34   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.11/0.34   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.11/0.34   (DECLARE-TPTP-SYMBOLS2))
% 0.11/0.34  * 
% 0.11/0.34  "."
% 0.11/0.34  * 
% 0.11/0.34  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T06:35:43
% 0.11/0.34  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-05-31T06:35:43
% 3.91/4.16  
% 3.91/4.16  
% 3.91/4.16  #||
% 3.91/4.16  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.91/4.16  % SZS output start Refutation
% See solution above
% 3.99/4.16  ||#
% 3.99/4.16  
% 3.99/4.16  ; Summary of computation:
% 3.99/4.16  ;     26034 formulas have been input or derived (from 113 formulas).
% 3.99/4.16  ;     11883 (46%) were retained.  Of these,
% 3.99/4.16  ;           26 ( 0%) were simplified or subsumed later,
% 3.99/4.16  ;        11857 (100%) are still being kept.
% 3.99/4.16  ; 
% 3.99/4.16  ; Run time in seconds excluding printing time:
% 3.99/4.16  ;     0.004   0%   Read assertion file          (1 call)
% 3.99/4.16  ;     0.000   0%   Assert                       (33 calls)
% 3.99/4.16  ;     2.492  65%   Process new row              (25,859 calls)
% 3.99/4.16  ;     0.549  14%   Resolution                   (224 calls)
% 3.99/4.16  ;     0.017   0%   Paramodulation               (112 calls)
% 3.99/4.16  ;     0.000   0%   Condensing                   (25 calls)
% 3.99/4.16  ;     0.000   0%   Forward subsumption          (25 calls)
% 3.99/4.16  ;     0.000   0%   Backward subsumption         (25 calls)
% 3.99/4.16  ;     0.000   0%   Clause clause subsumption    (8 calls)
% 3.99/4.16  ;     0.549  14%   Forward simplification       (25,859 calls)
% 3.99/4.16  ;     0.123   3%   Backward simplification      (11,883 calls)
% 3.99/4.16  ;     0.000   0%   Ordering                     (17 calls)
% 3.99/4.16  ;     0.000   0%   Sortal reasoning             (32 calls)
% 3.99/4.16  ;     0.000   0%   Purity testing               (1 call)
% 3.99/4.16  ;     0.080   2%   Other
% 3.99/4.16  ;     3.814        Total
% 3.99/4.16  ;     3.816        Real time
% 3.99/4.16  ; 
% 3.99/4.16  ; Term-hash-array has 45,478 terms in all.
% 3.99/4.16  ; Feature-vector-row-index has 25 entries (25 at peak, 25 added, 0 deleted).
% 3.99/4.16  ; Feature-vector-row-index has 100 nodes (100 at peak, 100 added, 0 deleted).
% 3.99/4.16  ;  Retrieved 3 possibly forward subsuming rows in 25 calls.
% 3.99/4.16  ;  Retrieved 5 possibly backward subsumed rows in 25 calls.
% 3.99/4.16  ; Path-index has 45,432 entries (45,432 at peak, 45,484 added, 52 deleted).
% 3.99/4.16  ; Path-index has 1,017 nodes (1,017 at peak, 1,017 added, 0 deleted).
% 3.99/4.16  ; Trie-index has 45,432 entries (45,432 at peak, 45,484 added, 52 deleted).
% 3.99/4.16  ; Trie-index has 569,966 nodes (569,966 at peak, 570,110 added, 144 deleted).
% 3.99/4.16  ; Retrieved 13,976 generalization terms in 142,060 calls.
% 3.99/4.16  ; Retrieved 11,883 instance terms in 11,857 calls.
% 3.99/4.16  ; Retrieved 433,755 unifiable terms in 17,158 calls.
% 3.99/4.16  ; 
% 3.99/4.16  ; The agenda of rows to process has 20 entries:
% 3.99/4.16  ;     2 with value 14              3 with value 18               9 with value 24
% 3.99/4.16  ;     1 with value 15              4 with value 19               1 with value 46
% 3.99/4.16  ; The agenda of rows to give has 11744 entries:
% 3.99/4.16  ;     2 with value (4 7)          80 with value (4 21)         128 with value (4 40)
% 3.99/4.16  ;     3 with value (4 8)          16 with value (4 22)         128 with value (4 41)
% 3.99/4.16  ;     3 with value (4 10)          8 with value (4 23)         256 with value (4 42)
% 3.99/4.16  ;     7 with value (4 11)         64 with value (4 25)         512 with value (4 43)
% 3.99/4.16  ;     4 with value (4 12)         32 with value (4 26)         256 with value (4 44)
% 3.99/4.16  ;     9 with value (4 13)         80 with value (4 28)         256 with value (4 45)
% 3.99/4.16  ;    20 with value (4 14)         16 with value (4 29)         768 with value (4 46)
% 3.99/4.16  ;     6 with value (4 15)        272 with value (4 30)         512 with value (4 47)
% 3.99/4.16  ;    72 with value (4 16)         32 with value (4 33)        1024 with value (4 49)
% 3.99/4.16  ;    20 with value (4 17)         96 with value (4 34)        1024 with value (4 50)
% 3.99/4.16  ;   134 with value (4 18)         96 with value (4 35)        1024 with value (4 51)
% 3.99/4.16  ;    28 with value (4 19)        192 with value (4 38)        4096 with value (4 55)
% 3.99/4.16  ;   276 with value (4 20)        192 with value (4 39)
% 3.99/4.16  Evaluation took:
% 3.99/4.16    3.818 seconds of real time
% 3.99/4.16    3.573637 seconds of user run time
% 3.99/4.16    0.243903 seconds of system run time
% 3.99/4.16    [Run times include 0.961 seconds GC run time.]
% 3.99/4.16    0 calls to %EVAL
% 3.99/4.16    0 page faults and
% 3.99/4.16    350,064,680 bytes consed.
% 3.99/4.16  :PROOF-FOUND
% 3.99/4.16  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T06:35:47
% 3.99/4.16  :PROOF-FOUND
% 3.99/4.16  * 
%------------------------------------------------------------------------------