TSTP Solution File: MSC005-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : MSC005-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 : Sun Jul 17 22:57:58 EDT 2022

% Result   : Unsatisfiable 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   7 unt;   0 nHn;  10 RR)
%            Number of literals    :   16 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(true_is_true,axiom,
    value(truth,truth),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_is_true) ).

cnf(false_is_false,axiom,
    value(falsity,falsity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_is_false) ).

cnf(true_xor_true,axiom,
    ( ~ value(X,truth)
    | ~ value(Y,truth)
    | value(xor(X,Y),falsity) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_xor_true) ).

cnf(true_xor_false,axiom,
    ( ~ value(X,truth)
    | ~ value(Y,falsity)
    | value(xor(X,Y),truth) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_xor_false) ).

cnf(false_xor_false,axiom,
    ( ~ value(X,falsity)
    | ~ value(Y,falsity)
    | value(xor(X,Y),falsity) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_xor_false) ).

cnf(evaluate_expression,negated_conjecture,
    ~ value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',evaluate_expression) ).

cnf(9,plain,
    value(xor(truth,falsity),truth),
    inference('HYPERRESOLVE',[status(thm)],[true_xor_false,true_is_true,false_is_false]) ).

cnf(12,plain,
    ~ value(xor(xor(xor(truth,falsity),falsity),truth),falsity),
    inference('UR-RESOLVE',[status(thm)],[false_xor_false,evaluate_expression,false_is_false]) ).

cnf(19,plain,
    value(xor(xor(truth,falsity),falsity),truth),
    inference('HYPERRESOLVE',[status(thm)],[true_xor_false,9,false_is_false]) ).

cnf(111,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[true_xor_true,19,true_is_true]),12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : MSC005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.13/0.32  % Computer : n025.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 600
% 0.13/0.32  % DateTime : Fri Jul  1 16:34:09 EDT 2022
% 0.13/0.32  % CPUTime  : 
% 0.18/0.43  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  * 
% 0.18/0.44  * 
% 0.18/0.44  #<PACKAGE "SNARK-USER">
% 0.18/0.44  * 
% 0.18/0.44  SNARK-TPTP-OPTIONS
% 0.18/0.44  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.45  "."
% 0.18/0.45  * 
% 0.18/0.45  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T16:34:09
% 0.18/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-01T16:34:09
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  #||
% 0.18/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49  % SZS output start Refutation
% See solution above
% 0.18/0.49  ||#
% 0.18/0.49  
% 0.18/0.49  ; Summary of computation:
% 0.18/0.49  ;       269 formulas have been input or derived (from 17 formulas).
% 0.18/0.49  ;       111 (41%) were retained.  Of these,
% 0.18/0.49  ;          111 (100%) are still being kept.
% 0.18/0.49  ; 
% 0.18/0.49  ; Run time in seconds excluding printing time:
% 0.18/0.49  ;     0.001   2%   Read assertion file          (1 call)
% 0.18/0.49  ;     0.001   2%   Assert                       (7 calls)
% 0.18/0.49  ;     0.012  28%   Process new row              (217 calls)
% 0.18/0.49  ;     0.001   2%   Resolution                   (32 calls)
% 0.18/0.49  ;     0.001   2%   Paramodulation               (16 calls)
% 0.18/0.49  ;     0.000   0%   Condensing                   (4 calls)
% 0.18/0.49  ;     0.000   0%   Forward subsumption          (4 calls)
% 0.18/0.49  ;     0.000   0%   Backward subsumption         (4 calls)
% 0.18/0.49  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.18/0.49  ;     0.001   2%   Forward simplification       (217 calls)
% 0.18/0.49  ;     0.000   0%   Backward simplification      (111 calls)
% 0.18/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.49  ;     0.026  60%   Other
% 0.18/0.49  ;     0.043        Total
% 0.18/0.49  ;     0.043        Real time
% 0.18/0.49  ; 
% 0.18/0.49  ; Term-hash-array has 216 terms in all.
% 0.18/0.49  ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.18/0.49  ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.18/0.49  ;  Retrieved 1 possibly forward subsuming row in 4 calls.
% 0.18/0.49  ;  Retrieved 1 possibly backward subsumed row in 4 calls.
% 0.18/0.49  ; Path-index has 218 entries (218 at peak, 218 added, 0 deleted).
% 0.18/0.49  ; Path-index has 110 nodes (110 at peak, 110 added, 0 deleted).
% 0.18/0.49  ; Trie-index has 218 entries (218 at peak, 218 added, 0 deleted).
% 0.18/0.49  ; Trie-index has 583 nodes (583 at peak, 583 added, 0 deleted).
% 0.18/0.49  ; Retrieved 107 generalization terms in 224 calls.
% 0.18/0.49  ; Retrieved 106 instance terms in 106 calls.
% 0.18/0.49  ; Retrieved 2,170 unifiable terms in 355 calls.
% 0.18/0.49  ; 
% 0.18/0.49  ; The agenda of rows to process has 42 entries:
% 0.18/0.49  ;     6 with value 16             16 with value 18              20 with value 20
% 0.18/0.49  ; The agenda of rows to give has 94 entries:
% 0.18/0.49  ;    11 with value (4 12)         17 with value (4 16)          16 with value (4 20)
% 0.18/0.49  ;    18 with value (4 14)         32 with value (4 18)
% 0.18/0.49  Evaluation took:
% 0.18/0.49    0.045 seconds of real time
% 0.18/0.49    0.032201 seconds of user run time
% 0.18/0.49    0.012012 seconds of system run time
% 0.18/0.49    0 calls to %EVAL
% 0.18/0.49    0 page faults and
% 0.18/0.49    2,669,360 bytes consed.
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T16:34:09
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  * 
%------------------------------------------------------------------------------