TSTP Solution File: COM003-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : COM003-2 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n010.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 01:42:07 EDT 2022

% Result   : Unsatisfiable 0.39s 0.56s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   16 (   9 unt;   0 nHn;  11 RR)
%            Number of literals    :   23 (   0 equ;  11 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   33 (  23 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(program_halts3a,axiom,
    ( ~ program_halts2(X,Y)
    | halts2(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',program_halts3a) ).

cnf(program_not_halts3a,axiom,
    ( ~ program_not_halts2(X,Y)
    | ~ halts2(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',program_not_halts3a) ).

cnf(program_halts2_halts3_outputs1,axiom,
    ( ~ program_halts2_halts3_outputs(X,Y,Z,U)
    | program_halts2(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',program_halts2_halts3_outputs1) ).

cnf(program_not_halts2_halts3_outputs1,axiom,
    ( ~ program_not_halts2_halts3_outputs(X,Y,Z,U)
    | program_not_halts2(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',program_not_halts2_halts3_outputs1) ).

cnf(axiom1_1,hypothesis,
    ( ~ algorithm_program_decides(X)
    | program_program_decides(c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom1_1) ).

cnf(axiom2_1,hypothesis,
    ( ~ program_program_decides(X)
    | program_halts2_halts3_outputs(X,Y,Z,good) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom2_1) ).

cnf(axiom2_2,hypothesis,
    ( ~ program_program_decides(X)
    | program_not_halts2_halts3_outputs(X,Y,Z,bad) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom2_2) ).

cnf(prove_algorithm_does_not_exist,negated_conjecture,
    algorithm_program_decides(c4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_algorithm_does_not_exist) ).

cnf(46,plain,
    program_program_decides(c1),
    inference('HYPERRESOLVE',[status(thm)],[axiom1_1,prove_algorithm_does_not_exist]) ).

cnf(49,plain,
    program_not_halts2_halts3_outputs(c1,X,Y,bad),
    inference('HYPERRESOLVE',[status(thm)],[axiom2_2,46]) ).

cnf(50,plain,
    program_halts2_halts3_outputs(c1,X,Y,good),
    inference('HYPERRESOLVE',[status(thm)],[axiom2_1,46]) ).

cnf(55,plain,
    program_not_halts2(X,Y),
    inference('HYPERRESOLVE',[status(thm)],[program_not_halts2_halts3_outputs1,49]) ).

cnf(66,plain,
    ~ halts2(X,Y),
    inference('REWRITE',[status(thm)],[program_not_halts3a,55]) ).

cnf(68,plain,
    ~ program_halts2(X,Y),
    inference('REWRITE',[status(thm)],[program_halts3a,66]) ).

cnf(71,plain,
    ~ program_halts2_halts3_outputs(X,Y,Z,U),
    inference('REWRITE',[status(thm)],[program_halts2_halts3_outputs1,68]) ).

cnf(72,plain,
    $false,
    inference('REWRITE',[status(thm)],[50,71]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : COM003-2 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Thu Jun 16 17:55:38 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.50  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.51  * 
% 0.21/0.51  * 
% 0.21/0.52  #<PACKAGE "SNARK-USER">
% 0.21/0.52  * 
% 0.21/0.52  SNARK-TPTP-OPTIONS
% 0.21/0.52  * 
% 0.21/0.52  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.52   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.52   (USE-FACTORING :POS)
% 0.21/0.52   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.52   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.52   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.52   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.52   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.52   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.52   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.52   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.52   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.52   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.52  * 
% 0.21/0.52  "."
% 0.21/0.52  * 
% 0.21/0.52  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T17:55:39
% 0.21/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-16T17:55:39
% 0.39/0.56  
% 0.39/0.56  
% 0.39/0.56  #||
% 0.39/0.56  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.56  % SZS output start Refutation
% See solution above
% 0.39/0.56  ||#
% 0.39/0.56  
% 0.39/0.56  ; Summary of computation:
% 0.39/0.56  ;        92 formulas have been input or derived (from 50 formulas).
% 0.39/0.56  ;        72 (78%) were retained.  Of these,
% 0.39/0.56  ;           41 (57%) were simplified or subsumed later,
% 0.39/0.56  ;           31 (43%) are still being kept.
% 0.39/0.56  ; 
% 0.39/0.56  ; Run time in seconds excluding printing time:
% 0.39/0.56  ;     0.005  14%   Read assertion file          (1 call)
% 0.39/0.56  ;     0.001   3%   Assert                       (43 calls)
% 0.39/0.56  ;     0.000   0%   Process new row              (82 calls)
% 0.39/0.56  ;     0.000   0%   Resolution                   (98 calls)
% 0.39/0.56  ;     0.000   0%   Paramodulation               (49 calls)
% 0.39/0.56  ;     0.000   0%   Factoring                    (1 call)
% 0.39/0.56  ;     0.001   3%   Condensing                   (55 calls)
% 0.39/0.56  ;     0.000   0%   Forward subsumption          (55 calls)
% 0.39/0.56  ;     0.001   3%   Backward subsumption         (55 calls)
% 0.39/0.56  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.39/0.56  ;     0.000   0%   Forward simplification       (82 calls)
% 0.39/0.56  ;     0.003   8%   Backward simplification      (72 calls)
% 0.39/0.56  ;     0.000   0%   Ordering                     (1 call)
% 0.39/0.56  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.39/0.56  ;     0.000   0%   Purity testing               (1 call)
% 0.39/0.56  ;     0.025  69%   Other
% 0.39/0.56  ;     0.036        Total
% 0.39/0.56  ;     0.037        Real time
% 0.39/0.56  ; 
% 0.39/0.56  ; Term-hash-array has 54 terms in all.
% 0.39/0.56  ; Feature-vector-row-index has 16 entries (43 at peak, 55 added, 39 deleted).
% 0.39/0.56  ; Feature-vector-row-index has 35 nodes (130 at peak, 183 added, 148 deleted).
% 0.39/0.56  ;  Retrieved 2 possibly forward subsuming rows in 55 calls.
% 0.39/0.56  ;  Retrieved 1 possibly backward subsumed row in 55 calls.
% 0.39/0.56  ; Path-index has 33 entries (60 at peak, 77 added, 44 deleted).
% 0.39/0.56  ; Path-index has 123 nodes (148 at peak, 170 added, 47 deleted).
% 0.39/0.56  ; Trie-index has 33 entries (60 at peak, 77 added, 44 deleted).
% 0.39/0.56  ; Trie-index has 85 nodes (135 at peak, 182 added, 97 deleted).
% 0.39/0.56  ; Retrieved 10 generalization terms in 28 calls.
% 0.39/0.56  ; Retrieved 32 instance terms in 16 calls.
% 0.39/0.56  ; Retrieved 473 unifiable terms in 255 calls.
% 0.39/0.56  ; 
% 0.39/0.56  ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.39/0.56  ;     2 with value 0
% 0.39/0.56  ; The agenda of rows to process has 1 entry:
% 0.39/0.56  ;     1 with value 9
% 0.39/0.56  ; The agenda of input rows to give has 9 entries:
% 0.39/0.56  ;     1 with value 3               2 with value 6                1 with value 10
% 0.39/0.56  ;     2 with value 4               1 with value 8                1 with value 12
% 0.39/0.56  ;     1 with value 5
% 0.39/0.56  ; The agenda of rows to give has 3 entries:
% 0.39/0.56  ;     1 with value (4 7)           2 with value (4 8)
% 0.39/0.56  Evaluation took:
% 0.39/0.56    0.037 seconds of real time
% 0.39/0.56    0.033731 seconds of user run time
% 0.39/0.56    0.003961 seconds of system run time
% 0.39/0.56    0 calls to %EVAL
% 0.39/0.56    0 page faults and
% 0.39/0.56    2,841,816 bytes consed.
% 0.39/0.56  :PROOF-FOUND
% 0.39/0.56  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T17:55:39
% 0.39/0.56  :PROOF-FOUND
% 0.39/0.56  * 
%------------------------------------------------------------------------------