TSTP Solution File: ITP167^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP167^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xk9En4He8r true

% Computer : n029.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  : 300s
% DateTime : Thu Aug 31 05:22:37 EDT 2023

% Result   : Theorem 63.08s 8.83s
% Output   : Refutation 63.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   26 (   1 unt;  11 typ;   0 def)
%            Number of atoms       :   85 (   0 equ;   0 cnn)
%            Maximal formula atoms :   13 (   5 avg)
%            Number of connectives :  230 (  10   ~;  10   |;   4   &; 200   @)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (  11 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :  120 ( 120   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   4 con; 0-6 aty)
%            Number of variables   :   36 (   0   ^;  36   !;   0   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
thf(com_type,type,
    com: $tType ).

thf(relati1310524937decomp_type,type,
    relati1310524937decomp: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > ( list_char > int ) > $o ).

thf(relati2102071307_hoare_type,type,
    relati2102071307_hoare: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > $o ).

thf(c_type,type,
    c: com ).

thf(int_type,type,
    int: $tType ).

thf(p_type,type,
    p: ( list_char > int ) > ( list_char > int ) > $o ).

thf(skip_type,type,
    skip: com ).

thf(list_char_type,type,
    list_char: $tType ).

thf(relati775585786_valid_type,type,
    relati775585786_valid: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > $o ).

thf(q_type,type,
    q: ( list_char > int ) > ( list_char > int ) > $o ).

thf(c2_type,type,
    c2: com ).

thf(conj_0,conjecture,
    ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
  <=> ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
      & ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( relati2102071307_hoare @ p @ c @ c2 @ q )
    <=> ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
        & ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl38,plain,
    ( ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
    | ( relati2102071307_hoare @ p @ c @ c2 @ q ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    ( ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
    | ( relati2102071307_hoare @ p @ c @ c2 @ q ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_2_ir__valid__decomp,axiom,
    ! [P2: ( list_char > int ) > ( list_char > int ) > $o,C3: com,C4: com,Q2: ( list_char > int ) > ( list_char > int ) > $o] :
      ( ( relati775585786_valid @ P2 @ C3 @ C4 @ Q2 )
    <=> ( ( relati775585786_valid @ P2 @ C3 @ skip @ ( relati1310524937decomp @ P2 @ C3 @ C4 @ Q2 ) )
        & ( relati775585786_valid @ ( relati1310524937decomp @ P2 @ C3 @ C4 @ Q2 ) @ skip @ C4 @ Q2 ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: ( list_char > int ) > ( list_char > int ) > $o,X1: com,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
      ( ( relati775585786_valid @ X0 @ X1 @ X2 @ X3 )
      | ~ ( relati775585786_valid @ ( relati1310524937decomp @ X0 @ X1 @ X2 @ X3 ) @ skip @ X2 @ X3 )
      | ~ ( relati775585786_valid @ X0 @ X1 @ skip @ ( relati1310524937decomp @ X0 @ X1 @ X2 @ X3 ) ) ),
    inference(cnf,[status(esa)],[fact_2_ir__valid__decomp]) ).

thf(zip_derived_cl40,plain,
    ( ~ ( relati2102071307_hoare @ p @ c @ skip @ ( relati1310524937decomp @ p @ c @ c2 @ q ) )
    | ~ ( relati2102071307_hoare @ ( relati1310524937decomp @ p @ c @ c2 @ q ) @ skip @ c2 @ q )
    | ~ ( relati2102071307_hoare @ p @ c @ c2 @ q ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_8_ir__valid__decomp1,axiom,
    ! [P: ( list_char > int ) > ( list_char > int ) > $o,C: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
      ( ( relati775585786_valid @ P @ C @ C2 @ Q )
     => ( ( relati775585786_valid @ P @ C @ skip @ ( relati1310524937decomp @ P @ C @ C2 @ Q ) )
        & ( relati775585786_valid @ ( relati1310524937decomp @ P @ C @ C2 @ Q ) @ skip @ C2 @ Q ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: ( list_char > int ) > ( list_char > int ) > $o,X1: com,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
      ( ( relati775585786_valid @ X0 @ X1 @ skip @ ( relati1310524937decomp @ X0 @ X1 @ X2 @ X3 ) )
      | ~ ( relati775585786_valid @ X0 @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[fact_8_ir__valid__decomp1]) ).

thf(fact_0_soundness,axiom,
    ! [P: ( list_char > int ) > ( list_char > int ) > $o,C: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
      ( ( relati2102071307_hoare @ P @ C @ C2 @ Q )
     => ( relati775585786_valid @ P @ C @ C2 @ Q ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: ( list_char > int ) > ( list_char > int ) > $o,X1: com,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
      ( ( relati775585786_valid @ X0 @ X1 @ X2 @ X3 )
      | ~ ( relati2102071307_hoare @ X0 @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[fact_0_soundness]) ).

thf(zip_derived_cl17,plain,
    ! [X0: ( list_char > int ) > ( list_char > int ) > $o,X1: com,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
      ( ( relati775585786_valid @ ( relati1310524937decomp @ X0 @ X1 @ X2 @ X3 ) @ skip @ X2 @ X3 )
      | ~ ( relati775585786_valid @ X0 @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[fact_8_ir__valid__decomp1]) ).

thf(fact_1_completeness,axiom,
    ! [P: ( list_char > int ) > ( list_char > int ) > $o,C: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
      ( ( relati775585786_valid @ P @ C @ C2 @ Q )
     => ( relati2102071307_hoare @ P @ C @ C2 @ Q ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: ( list_char > int ) > ( list_char > int ) > $o,X1: com,X2: com,X3: ( list_char > int ) > ( list_char > int ) > $o] :
      ( ( relati2102071307_hoare @ X0 @ X1 @ X2 @ X3 )
      | ~ ( relati775585786_valid @ X0 @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[fact_1_completeness]) ).

thf(zip_derived_cl5928,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl38,zip_derived_cl39,zip_derived_cl4,zip_derived_cl40,zip_derived_cl16,zip_derived_cl0,zip_derived_cl17,zip_derived_cl1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP167^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xk9En4He8r true
% 0.17/0.34  % Computer : n029.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Sun Aug 27 17:09:10 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 0.17/0.35  % Running portfolio for 300 s
% 0.17/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35  % Number of cores: 8
% 0.17/0.35  % Python version: Python 3.6.8
% 0.17/0.35  % Running in HO mode
% 0.20/0.59  % Total configuration time : 828
% 0.20/0.59  % Estimated wc time : 1656
% 0.20/0.59  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.67  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.68  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 2.01/0.86  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 63.08/8.83  % Solved by lams/40_c_ic.sh.
% 63.08/8.83  % done 298 iterations in 8.054s
% 63.08/8.83  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 63.08/8.83  % SZS output start Refutation
% See solution above
% 63.08/8.83  
% 63.08/8.83  
% 63.08/8.83  % Terminating...
% 64.19/8.94  % Runner terminated.
% 64.19/8.95  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------