TSTP Solution File: SYN072-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN072-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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   : Unsatisfiable 0.36s 0.52s
% Output   : Refutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (   6 unt;   6 nHn;   6 RR)
%            Number of literals    :   23 (  18 equ;   2 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,axiom,
    ( X = c
    | X = d ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

cnf(clause_2,axiom,
    big_p(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).

cnf(clause_3,axiom,
    big_p(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

cnf(clause_4,axiom,
    a != b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

cnf(prove_this,negated_conjecture,
    ~ big_p(e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(6,plain,
    ( X = c
    | Y = c
    | Y = X ),
    inference('PARAMODULATE',[status(thm)],[clause_1,clause_1,theory(equality)]) ).

cnf(7,plain,
    ( X = c
    | Y = X
    | Z = Y
    | U = Y
    | U = Z ),
    inference('PARAMODULATE',[status(thm)],[6,6,theory(equality)]) ).

cnf(9,plain,
    ( Y = X
    | Z = Y
    | Z = X ),
    inference('CONDENSE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6,7,theory(equality)])]) ).

cnf(10,plain,
    ( X = a
    | X = b ),
    inference('HYPERRESOLVE',[status(thm)],[clause_4,9]) ).

cnf(11,plain,
    ( X = a
    | big_p(X) ),
    inference('PARAMODULATE',[status(thm)],[clause_3,10,theory(equality)]) ).

cnf(12,plain,
    e = a,
    inference('HYPERRESOLVE',[status(thm)],[prove_this,11]) ).

cnf(13,plain,
    $false,
    inference('REWRITE',[status(thm)],[prove_this,clause_2,12,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN072-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n021.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 Jul 12 04:03:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-12T04:03:54
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-12T04:03:54
% 0.36/0.52  
% 0.36/0.52  
% 0.36/0.52  #||
% 0.36/0.52  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.52  % SZS output start Refutation
% See solution above
% 0.36/0.52  ||#
% 0.36/0.52  
% 0.36/0.52  ; Summary of computation:
% 0.36/0.52  ;        51 formulas have been input or derived (from 11 formulas).
% 0.36/0.52  ;        13 (25%) were retained.  Of these,
% 0.36/0.52  ;            4 (31%) were simplified or subsumed later,
% 0.36/0.52  ;            9 (69%) are still being kept.
% 0.36/0.52  ; 
% 0.36/0.52  ; Run time in seconds excluding printing time:
% 0.36/0.52  ;     0.000   0%   Read assertion file          (1 call)
% 0.36/0.52  ;     0.001   2%   Assert                       (5 calls)
% 0.36/0.52  ;     0.002   5%   Process new row              (44 calls)
% 0.36/0.52  ;     0.001   2%   Resolution                   (20 calls)
% 0.36/0.52  ;     0.000   0%   Paramodulation               (10 calls)
% 0.36/0.52  ;     0.001   2%   Factoring                    (6 calls)
% 0.36/0.52  ;     0.012  27%   Condensing                   (17 calls)
% 0.36/0.52  ;     0.000   0%   Forward subsumption          (17 calls)
% 0.36/0.52  ;     0.001   2%   Backward subsumption         (7 calls)
% 0.36/0.52  ;     0.002   5%   Clause clause subsumption    (14 calls)
% 0.36/0.52  ;     0.001   2%   Forward simplification       (43 calls)
% 0.36/0.52  ;     0.000   0%   Backward simplification      (13 calls)
% 0.36/0.52  ;     0.000   0%   Ordering                     (168 calls)
% 0.36/0.52  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.36/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.36/0.52  ;     0.022  50%   Other
% 0.36/0.52  ;     0.044        Total
% 0.36/0.52  ;     0.046        Real time
% 0.36/0.52  ; 
% 0.36/0.52  ; Term-hash-array has 16 terms in all.
% 0.36/0.52  ; Feature-vector-row-index has 4 entries (4 at peak, 7 added, 3 deleted).
% 0.36/0.52  ; Feature-vector-row-index has 10 nodes (11 at peak, 17 added, 7 deleted).
% 0.36/0.52  ;  Retrieved 10 possibly forward subsuming rows in 17 calls.
% 0.36/0.52  ;  Retrieved 4 possibly backward subsumed rows in 7 calls.
% 0.36/0.52  ; Path-index has 17 entries (18 at peak, 24 added, 7 deleted).
% 0.36/0.52  ; Path-index has 17 nodes (18 at peak, 18 added, 1 deleted).
% 0.36/0.52  ; Trie-index has 17 entries (18 at peak, 24 added, 7 deleted).
% 0.36/0.52  ; Trie-index has 21 nodes (22 at peak, 23 added, 2 deleted).
% 0.36/0.52  ; Retrieved 2 generalization terms in 85 calls.
% 0.36/0.52  ; Retrieved 5 instance terms in 5 calls.
% 0.36/0.52  ; Retrieved 46 unifiable terms in 69 calls.
% 0.36/0.52  ; 
% 0.36/0.52  ; The agenda of rows to give has 1 entry:
% 0.36/0.52  ;     1 with value (4 10)
% 0.36/0.52  Evaluation took:
% 0.36/0.52    0.047 seconds of real time
% 0.36/0.52    0.039377 seconds of user run time
% 0.36/0.52    0.007053 seconds of system run time
% 0.36/0.52    0 calls to %EVAL
% 0.36/0.52    0 page faults and
% 0.36/0.52    2,300,656 bytes consed.
% 0.36/0.52  :PROOF-FOUND
% 0.36/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T04:03:54
% 0.36/0.52  :PROOF-FOUND
% 0.36/0.52  * 
%------------------------------------------------------------------------------