TSTP Solution File: COL118-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COL118-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 00:41:55 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   6 RR)
%            Number of literals    :   10 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-4 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    c_in(c_Pair(v_x,v_ya,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(c_Pair(v_z,v_w,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_2,negated_conjecture,
    ( ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),X,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w),X,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_Comb_Oparcontract_Ointros__1_0,axiom,
    c_in(c_Pair(X,X,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Oparcontract_Ointros__1_0) ).

cnf(cls_Comb_Oparcontract_Ointros__4_0,axiom,
    ( ~ c_in(c_Pair(X,Y,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | ~ c_in(c_Pair(Z,U,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
    | c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(Z,X),c_Comb_Ocomb_Oop_A_D_D(U,Y),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Comb_Oparcontract_Ointros__4_0) ).

cnf(6,plain,
    ~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(v_x,v_z),c_Comb_Ocomb_Oop_A_D_D(v_ya,v_w),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Oparcontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
    inference('UR-RESOLVE',[status(thm)],[cls_conjecture_2,cls_Comb_Oparcontract_Ointros__1_0]) ).

cnf(11,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_Comb_Oparcontract_Ointros__4_0,cls_conjecture_1,cls_conjecture_0]),6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : COL118-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n020.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue May 31 09:15:23 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T09:15:24
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-05-31T09:15:24
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  #||
% 0.20/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50  % SZS output start Refutation
% See solution above
% 0.20/0.50  ||#
% 0.20/0.50  
% 0.20/0.50  ; Summary of computation:
% 0.20/0.50  ;        25 formulas have been input or derived (from 6 formulas).
% 0.20/0.50  ;        11 (44%) were retained.  Of these,
% 0.20/0.50  ;           11 (100%) are still being kept.
% 0.20/0.50  ; 
% 0.20/0.50  ; Run time in seconds excluding printing time:
% 0.20/0.50  ;     0.002   7%   Read assertion file          (1 call)
% 0.20/0.50  ;     0.000   0%   Assert                       (5 calls)
% 0.20/0.50  ;     0.003  11%   Process new row              (11 calls)
% 0.20/0.50  ;     0.000   0%   Resolution                   (10 calls)
% 0.20/0.50  ;     0.000   0%   Paramodulation               (5 calls)
% 0.20/0.50  ;     0.000   0%   Condensing                   (2 calls)
% 0.20/0.50  ;     0.000   0%   Forward subsumption          (2 calls)
% 0.20/0.50  ;     0.000   0%   Backward subsumption         (2 calls)
% 0.20/0.50  ;     0.000   0%   Forward simplification       (11 calls)
% 0.20/0.50  ;     0.000   0%   Backward simplification      (11 calls)
% 0.20/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.50  ;     0.022  81%   Other
% 0.20/0.50  ;     0.027        Total
% 0.20/0.50  ;     0.029        Real time
% 0.20/0.50  ; 
% 0.20/0.50  ; Term-hash-array has 37 terms in all.
% 0.20/0.50  ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.20/0.50  ; Feature-vector-row-index has 42 nodes (42 at peak, 42 added, 0 deleted).
% 0.20/0.50  ;  Retrieved 0 possibly forward subsuming rows in 2 calls.
% 0.20/0.50  ;  Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.20/0.50  ; Path-index has 43 entries (43 at peak, 43 added, 0 deleted).
% 0.20/0.50  ; Path-index has 105 nodes (105 at peak, 105 added, 0 deleted).
% 0.20/0.50  ; Trie-index has 43 entries (43 at peak, 43 added, 0 deleted).
% 0.20/0.50  ; Trie-index has 190 nodes (190 at peak, 190 added, 0 deleted).
% 0.20/0.50  ; Retrieved 9 generalization terms in 13 calls.
% 0.20/0.50  ; Retrieved 14 instance terms in 8 calls.
% 0.20/0.50  ; Retrieved 128 unifiable terms in 71 calls.
% 0.20/0.50  ; 
% 0.20/0.50  ; The agenda of rows to process has 14 entries:
% 0.20/0.50  ;    14 with value 18
% 0.20/0.50  ; The agenda of rows to give has 5 entries:
% 0.20/0.50  ;     5 with value (4 18)
% 0.20/0.50  Evaluation took:
% 0.20/0.50    0.029 seconds of real time
% 0.20/0.50    0.025836 seconds of user run time
% 0.20/0.50    0.003229 seconds of system run time
% 0.20/0.50    0 calls to %EVAL
% 0.20/0.50    0 page faults and
% 0.20/0.50    1,945,072 bytes consed.
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T09:15:24
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  * 
%------------------------------------------------------------------------------