TSTP Solution File: COL052-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COL052-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 00:41:42 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   8 unt;   0 nHn;   8 RR)
%            Number of literals    :   12 (   6 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(composer_exists,axiom,
    response(compose(X,Y),Z) = response(X,response(Y,Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',composer_exists) ).

cnf(agreeable1,axiom,
    ( ~ agreeable(X)
    | response(X,common_bird(Y)) = response(Y,common_bird(Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',agreeable1) ).

cnf(agreeable2,axiom,
    ( response(X,Y) != response(compatible(X),Y)
    | agreeable(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',agreeable2) ).

cnf(c_is_agreeable,hypothesis,
    agreeable(c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_agreeable) ).

cnf(prove_a_is_agreeable,negated_conjecture,
    ~ agreeable(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_is_agreeable) ).

cnf(c_composes_a_with_b,hypothesis,
    c = compose(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_composes_a_with_b) ).

cnf(10,plain,
    response(a,X) != response(compatible(a),X),
    inference('UR-RESOLVE',[status(thm)],[agreeable2,prove_a_is_agreeable]) ).

cnf(16,plain,
    response(compose(a,X),Y) != response(compose(compatible(a),X),Y),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10,composer_exists,theory(equality)]),composer_exists,theory(equality)]) ).

cnf(28,plain,
    ~ agreeable(compose(a,X)),
    inference('UR-RESOLVE',[status(thm)],[agreeable1,16]) ).

cnf(35,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[28,c_composes_a_with_b,theory(equality)]),c_is_agreeable]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : COL052-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n024.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 : Tue May 31 15:42:51 EDT 2022
% 0.13/0.35  % 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 2022-05-31T15:42:51
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-05-31T15:42:51
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52  % SZS output start Refutation
% See solution above
% 0.20/0.52  ||#
% 0.20/0.52  
% 0.20/0.52  ; Summary of computation:
% 0.20/0.52  ;        56 formulas have been input or derived (from 15 formulas).
% 0.20/0.52  ;        35 (62%) were retained.  Of these,
% 0.20/0.52  ;           35 (100%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds:
% 0.20/0.52  ;     0.002   6%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.000   0%   Assert                       (6 calls)
% 0.20/0.52  ;     0.005  14%   Process new row              (53 calls)
% 0.20/0.52  ;     0.001   3%   Resolution                   (28 calls)
% 0.20/0.52  ;     0.002   6%   Paramodulation               (14 calls)
% 0.20/0.52  ;     0.000   0%   Condensing                   (7 calls)
% 0.20/0.52  ;     0.001   3%   Forward subsumption          (7 calls)
% 0.20/0.52  ;     0.000   0%   Backward subsumption         (7 calls)
% 0.20/0.52  ;     0.001   3%   Clause clause subsumption    (3 calls)
% 0.20/0.52  ;     0.000   0%   Forward simplification       (53 calls)
% 0.20/0.52  ;     0.000   0%   Backward simplification      (35 calls)
% 0.20/0.52  ;     0.001   3%   Ordering                     (152 calls)
% 0.20/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.52  ;     0.022  63%   Other
% 0.20/0.52  ;     0.035        Total
% 0.20/0.52  ;     0.036        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 111 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 7 entries (7 at peak, 7 added, 0 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 43 nodes (43 at peak, 43 added, 0 deleted).
% 0.20/0.52  ;  Retrieved 3 possibly forward subsuming rows in 7 calls.
% 0.20/0.52  ;  Retrieved 0 possibly backward subsumed rows in 7 calls.
% 0.20/0.52  ; Path-index has 114 entries (114 at peak, 114 added, 0 deleted).
% 0.20/0.52  ; Path-index has 233 nodes (233 at peak, 233 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 114 entries (114 at peak, 114 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 441 nodes (441 at peak, 441 added, 0 deleted).
% 0.20/0.52  ; Retrieved 129 generalization terms in 193 calls.
% 0.20/0.52  ; Retrieved 45 instance terms in 41 calls.
% 0.20/0.52  ; Retrieved 252 unifiable terms in 97 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to process has 1 entry:
% 0.20/0.52  ;     1 with value 20
% 0.20/0.52  ; The agenda of rows to give has 20 entries:
% 0.20/0.52  ;     1 with value (4 11)          5 with value (4 20)           5 with value (4 23)
% 0.20/0.52  ;     1 with value (4 17)          1 with value (4 21)           1 with value (4 24)
% 0.20/0.52  ;     1 with value (4 18)          1 with value (4 22)           1 with value (4 25)
% 0.20/0.52  ;     3 with value (4 19)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.037 seconds of real time
% 0.20/0.52    0.031522 seconds of user run time
% 0.20/0.52    0.005251 seconds of system run time
% 0.20/0.52    0 calls to %EVAL
% 0.20/0.52    0 page faults and
% 0.20/0.52    2,170,232 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T15:42:51
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------