TSTP Solution File: SYN071+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN071+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 : Thu Jul 21 11:57:20 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    9 (   5 unt;   3 nHn;   9 RR)
%            Number of literals    :   13 (  12 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( a = b
    | c = d ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel48_1) ).

cnf(2,axiom,
    ( a = c
    | b = d ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel48_2) ).

cnf(3,negated_conjecture,
    a != d,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel48) ).

cnf(4,negated_conjecture,
    b != c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel48) ).

cnf(5,plain,
    ( a = b
    | a != c ),
    inference('PARAMODULATE',[status(thm)],[3,1,theory(equality)]) ).

cnf(7,plain,
    ( a = c
    | a = b ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1,2,theory(equality)]),4]) ).

cnf(8,plain,
    a = b,
    inference('HYPERRESOLVE',[status(thm)],[5,7]) ).

cnf(9,plain,
    a = c,
    inference('REWRITE',[status(thm)],[2,3,8,theory(equality)]) ).

cnf(10,plain,
    $false,
    inference('REWRITE',[status(thm)],[4,9,8,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN071+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n015.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 16:10:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T16:10:54
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-11T16:10:54
% 0.19/0.49  
% 0.19/0.49  
% 0.19/0.49  #||
% 0.19/0.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49  % SZS output start Refutation
% See solution above
% 0.19/0.49  ||#
% 0.19/0.49  
% 0.19/0.49  ; Summary of computation:
% 0.19/0.49  ;        18 formulas have been input or derived (from 8 formulas).
% 0.19/0.49  ;        10 (56%) were retained.  Of these,
% 0.19/0.49  ;            6 (60%) were simplified or subsumed later,
% 0.19/0.49  ;            4 (40%) are still being kept.
% 0.19/0.49  ; 
% 0.19/0.49  ; Run time in seconds excluding printing time:
% 0.19/0.49  ;     0.001   4%   Read assertion file          (1 call)
% 0.19/0.49  ;     0.000   0%   Assert                       (3 calls)
% 0.19/0.49  ;     0.001   4%   Process new row              (13 calls)
% 0.19/0.49  ;     0.000   0%   Resolution                   (14 calls)
% 0.19/0.49  ;     0.001   4%   Paramodulation               (7 calls)
% 0.19/0.49  ;     0.000   0%   Factoring                    (3 calls)
% 0.19/0.49  ;     0.000   0%   Condensing                   (5 calls)
% 0.19/0.49  ;     0.000   0%   Forward subsumption          (5 calls)
% 0.19/0.49  ;     0.000   0%   Backward subsumption         (5 calls)
% 0.19/0.49  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.19/0.49  ;     0.000   0%   Forward simplification       (13 calls)
% 0.19/0.49  ;     0.000   0%   Backward simplification      (10 calls)
% 0.19/0.49  ;     0.000   0%   Ordering                     (50 calls)
% 0.19/0.49  ;     0.002   8%   Sortal reasoning             (32 calls)
% 0.19/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.49  ;     0.020  80%   Other
% 0.19/0.49  ;     0.025        Total
% 0.19/0.49  ;     0.027        Real time
% 0.19/0.49  ; 
% 0.19/0.49  ; Term-hash-array has 6 terms in all.
% 0.19/0.49  ; Feature-vector-row-index has 0 entries (5 at peak, 5 added, 5 deleted).
% 0.19/0.49  ; Feature-vector-row-index has 1 node (21 at peak, 21 added, 20 deleted).
% 0.19/0.49  ;  Retrieved 1 possibly forward subsuming row in 5 calls.
% 0.19/0.49  ;  Retrieved 1 possibly backward subsumed row in 5 calls.
% 0.19/0.49  ; Path-index has 7 entries (10 at peak, 12 added, 5 deleted).
% 0.19/0.49  ; Path-index has 10 nodes (10 at peak, 12 added, 2 deleted).
% 0.19/0.49  ; Trie-index has 7 entries (10 at peak, 12 added, 5 deleted).
% 0.19/0.49  ; Trie-index has 10 nodes (15 at peak, 17 added, 7 deleted).
% 0.19/0.49  ; Retrieved 2 generalization terms in 14 calls.
% 0.19/0.49  ; Retrieved 4 instance terms in 4 calls.
% 0.19/0.49  ; Retrieved 15 unifiable terms in 32 calls.
% 0.19/0.49  ; 
% 0.19/0.49  ; The agenda of backward simplifiable rows to process has 3 entries:
% 0.19/0.49  ;     3 with value 0
% 0.19/0.49  ; The agenda of rows to process has 2 entries:
% 0.19/0.49  ;     2 with value 10
% 0.19/0.49  ; The agenda of input rows to give has 1 entry:
% 0.19/0.49  ;     1 with value 4
% 0.19/0.49  ; The agenda of rows to give has 1 entry:
% 0.19/0.49  ;     1 with value (4 6)
% 0.19/0.49  Evaluation took:
% 0.19/0.49    0.027 seconds of real time
% 0.19/0.49    0.022217 seconds of user run time
% 0.19/0.49    0.005012 seconds of system run time
% 0.19/0.49    0 calls to %EVAL
% 0.19/0.49    0 page faults and
% 0.19/0.49    1,616,696 bytes consed.
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T16:10:54
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  * 
%------------------------------------------------------------------------------