TSTP Solution File: CAT007-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : CAT007-3 : TPTP v8.1.0. Released v1.0.0.
% 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 00:07:07 EDT 2022

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    7 (   0 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(domain_codomain_composition2,axiom,
    ( ~ there_exists(domain(X))
    | ~ equalish(domain(X),codomain(Y))
    | there_exists(compose(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_codomain_composition2) ).

cnf(domain_of_c2_exists,hypothesis,
    there_exists(domain(c2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_of_c2_exists) ).

cnf(domain_of_c2_equals_codomain_of_c1,hypothesis,
    equalish(domain(c2),codomain(c1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_of_c2_equals_codomain_of_c1) ).

cnf(prove_c1_c2_is_defined,negated_conjecture,
    ~ there_exists(compose(c2,c1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c1_c2_is_defined) ).

cnf(21,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[domain_codomain_composition2,domain_of_c2_exists,domain_of_c2_equals_codomain_of_c1,prove_c1_c2_is_defined]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : CAT007-3 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.10  % Command  : run-snark %s %d
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Sun May 29 16:03:56 EDT 2022
% 0.09/0.28  % CPUTime  : 
% 0.13/0.36  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  * 
% 0.13/0.36  * 
% 0.13/0.37  #<PACKAGE "SNARK-USER">
% 0.13/0.37  * 
% 0.13/0.37  SNARK-TPTP-OPTIONS
% 0.13/0.37  * 
% 0.13/0.37  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.37   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.37   (USE-FACTORING :POS)
% 0.13/0.37   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.37   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.37   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.37   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.37   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.37   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.37   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.37   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.37   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.37   (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.37  * 
% 0.13/0.37  "."
% 0.13/0.37  * 
% 0.13/0.37  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T16:03:56
% 0.13/0.37  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-05-29T16:03:56
% 0.13/0.38  
% 0.13/0.38  ; Recognized commutativity assertion (OR (NOT (|equalish| ?X ?Y)) (|equalish| ?Y ?X)).
% 0.13/0.39  ; Declaring equalish to be commutative.
% 0.13/0.39  
% 0.13/0.39  #||
% 0.13/0.39  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.39  % SZS output start Refutation
% See solution above
% 0.13/0.39  ||#
% 0.13/0.39  
% 0.13/0.39  ; Summary of computation:
% 0.13/0.39  ;        56 formulas have been input or derived (from 10 formulas).
% 0.13/0.39  ;        21 (38%) were retained.  Of these,
% 0.13/0.39  ;           21 (100%) are still being kept.
% 0.13/0.39  ; 
% 0.13/0.39  ; Run time in seconds:
% 0.13/0.39  ;     0.001   5%   Read assertion file          (1 call)
% 0.13/0.39  ;     0.001   5%   Assert                       (12 calls)
% 0.13/0.39  ;     0.002  11%   Process new row              (43 calls)
% 0.13/0.39  ;     0.001   5%   Resolution                   (18 calls)
% 0.13/0.39  ;     0.000   0%   Paramodulation               (9 calls)
% 0.13/0.39  ;     0.000   0%   Factoring                    (1 call)
% 0.13/0.39  ;     0.001   5%   Condensing                   (21 calls)
% 0.13/0.39  ;     0.000   0%   Forward subsumption          (21 calls)
% 0.13/0.39  ;     0.000   0%   Backward subsumption         (12 calls)
% 0.13/0.39  ;     0.000   0%   Clause clause subsumption    (31 calls)
% 0.13/0.39  ;     0.000   0%   Forward simplification       (43 calls)
% 0.13/0.39  ;     0.000   0%   Backward simplification      (21 calls)
% 0.13/0.39  ;     0.000   0%   Ordering                     (31 calls)
% 0.13/0.39  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.13/0.39  ;     0.000   0%   Purity testing               (1 call)
% 0.13/0.39  ;     0.013  68%   Other
% 0.13/0.39  ;     0.019        Total
% 0.13/0.39  ;     0.019        Real time
% 0.13/0.39  ; 
% 0.13/0.39  ; Term-hash-array has 43 terms in all.
% 0.13/0.39  ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.13/0.39  ; Feature-vector-row-index has 36 nodes (36 at peak, 36 added, 0 deleted).
% 0.13/0.39  ;  Retrieved 33 possibly forward subsuming rows in 21 calls.
% 0.13/0.39  ;  Retrieved 5 possibly backward subsumed rows in 12 calls.
% 0.13/0.39  ; Path-index has 45 entries (45 at peak, 45 added, 0 deleted).
% 0.13/0.39  ; Path-index has 81 nodes (81 at peak, 81 added, 0 deleted).
% 0.13/0.39  ; Trie-index has 45 entries (45 at peak, 45 added, 0 deleted).
% 0.13/0.39  ; Trie-index has 77 nodes (77 at peak, 77 added, 0 deleted).
% 0.13/0.39  ; Retrieved 41 generalization terms in 63 calls.
% 0.13/0.39  ; Retrieved 8 instance terms in 8 calls.
% 0.13/0.39  ; Retrieved 204 unifiable terms in 73 calls.
% 0.13/0.39  ; 
% 0.13/0.39  ; The agenda of rows to process has 7 entries:
% 0.13/0.39  ;     1 with value 6               1 with value 8                4 with value 16
% 0.13/0.39  ;     1 with value 7
% 0.13/0.39  ; The agenda of input rows to give has 1 entry:
% 0.13/0.39  ;     1 with value 18
% 0.13/0.39  ; The agenda of rows to give has 10 entries:
% 0.13/0.39  ;     2 with value (4 4)           4 with value (4 15)           3 with value (4 17)
% 0.13/0.39  ;     1 with value (4 9)
% 0.13/0.39  Evaluation took:
% 0.13/0.39    0.02 seconds of real time
% 0.13/0.39    0.016764 seconds of user run time
% 0.13/0.39    0.003042 seconds of system run time
% 0.13/0.39    0 calls to %EVAL
% 0.13/0.39    0 page faults and
% 0.13/0.39    1,784,704 bytes consed.
% 0.13/0.39  :PROOF-FOUND
% 0.13/0.39  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T16:03:56
% 0.13/0.39  :PROOF-FOUND
% 0.13/0.39  * 
%------------------------------------------------------------------------------