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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP167^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AYQNnXd6WU true

% Computer : n018.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 Oct  2 04:39:02 PM UTC 2025

% Result   : Theorem 44.40s 9.78s
% Output   : Refutation 44.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   1 unt;   0 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  :   72 (  72   >;   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_cl2346,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
% 0.10/0.23  % Problem  : ITP167^1 : TPTP v9.2.0. Released v7.5.0.
% 0.10/0.24  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AYQNnXd6WU true
% 0.12/0.51  % Computer : n018.cluster.edu
% 0.12/0.51  % Model    : x86_64 x86_64
% 0.12/0.51  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.51  % Memory   : 8042.1875MB
% 0.12/0.51  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.51  % CPULimit : 300
% 0.12/0.51  % WCLimit  : 300
% 0.12/0.51  % DateTime : Wed Oct  1 15:29:38 EDT 2025
% 0.12/0.51  % CPUTime  : 
% 0.12/0.51  % Running portfolio for 300 s
% 0.12/0.51  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.51  % Number of cores: 8
% 0.12/0.51  % Python version: Python 3.6.8
% 0.12/0.51  % Running in HO mode
% 0.28/0.76  % Total configuration time : 828
% 0.28/0.76  % Estimated wc time : 1656
% 0.28/0.76  % Estimated cpu time (8 cpus) : 207.0
% 0.28/0.88  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.28/0.95  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.28/0.95  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.28/0.97  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.28/0.98  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.28/1.02  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.28/1.03  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.28/1.05  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 2.57/1.39  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 44.40/9.78  % Solved by lams/40_c_ic.sh.
% 44.40/9.78  % done 126 iterations in 8.779s
% 44.40/9.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 44.40/9.78  % SZS output start Refutation
% See solution above
% 44.40/9.78  
% 44.40/9.78  
% 44.40/9.78  % Terminating...
% 44.65/10.00  % Runner terminated.
% 44.65/10.01  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------