↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL365+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rt4TgCXM9j true

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 01:35:46 PM UTC 2026

% Result   : Theorem 45.52s 7.17s
% Output   : Refutation 45.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   37 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :   66 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  397 (  32   ~;  27   |;   1   &; 336   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   79 (   0   ^;  79   !;   0   ?;  79   :)

% Comments : 
%------------------------------------------------------------------------------
thf(y_type,type,
    y: $i ).

thf(u_type,type,
    u: $i ).

thf(is_a_theorem_type,type,
    is_a_theorem: $i > $o ).

thf(not_type,type,
    not: $i > $i ).

thf(implies_type,type,
    implies: $i > $i > $i ).

thf(x_type,type,
    x: $i ).

thf(z_type,type,
    z: $i ).

thf(cn_3,axiom,
    ! [X: $i,Y: $i] : ( is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ ( not @ X0 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[cn_3]) ).

thf(condensed_detachment,axiom,
    ! [X: $i,Y: $i] :
      ( ( ( is_a_theorem @ ( implies @ X @ Y ) )
        & ( is_a_theorem @ X ) )
     => ( is_a_theorem @ Y ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X0 )
      | ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
      | ( is_a_theorem @ X1 ) ),
    inference(cnf,[status(esa)],[condensed_detachment]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X1 )
      | ( is_a_theorem @ ( implies @ ( not @ X1 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).

thf(cn_2,axiom,
    ! [X: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X ) @ X ) @ X ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[cn_2]) ).

thf(cn_1,axiom,
    ! [X: $i,Y: $i,Z: $i] : ( is_a_theorem @ ( implies @ ( implies @ X @ Y ) @ ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[cn_1]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X0 )
      | ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
      | ( is_a_theorem @ X1 ) ),
    inference(cnf,[status(esa)],[condensed_detachment]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl7_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl0_003,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X0 )
      | ~ ( is_a_theorem @ ( implies @ X0 @ X1 ) )
      | ( is_a_theorem @ X1 ) ),
    inference(cnf,[status(esa)],[condensed_detachment]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ~ ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ X3 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl19]) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( not @ X0 ) @ X1 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X0 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl24]) ).

thf(zip_derived_cl105,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X1 )
      | ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl97]) ).

thf(zip_derived_cl3_004,plain,
    ! [X0: $i,X1: $i] : ( is_a_theorem @ ( implies @ X0 @ ( implies @ ( not @ X0 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[cn_3]) ).

thf(zip_derived_cl19_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ X1 ) @ X0 ) @ X2 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X2 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl19]) ).

thf(zip_derived_cl111,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( is_a_theorem @ X0 )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl21]) ).

thf(zip_derived_cl1_006,plain,
    ! [X0: $i,X1: $i,X2: $i] : ( is_a_theorem @ ( implies @ ( implies @ X0 @ X1 ) @ ( implies @ ( implies @ X1 @ X2 ) @ ( implies @ X0 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[cn_1]) ).

thf(zip_derived_cl19_007,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ~ ( is_a_theorem @ ( implies @ X2 @ X0 ) )
      | ( is_a_theorem @ ( implies @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) @ X3 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl19]) ).

thf(zip_derived_cl7_008,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl72,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( is_a_theorem @ ( implies @ ( implies @ X1 @ X3 ) @ ( implies @ X2 @ ( implies @ X1 @ X0 ) ) ) )
      | ~ ( is_a_theorem @ ( implies @ X2 @ ( implies @ X3 @ X0 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl23,zip_derived_cl7]) ).

thf(zip_derived_cl23_009,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_a_theorem @ ( implies @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) @ X3 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X1 @ X2 ) @ X3 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl19]) ).

thf(zip_derived_cl524,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X3 @ ( implies @ ( implies @ X4 @ X1 ) @ X0 ) ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X4 @ X2 ) @ ( implies @ X3 @ ( implies @ ( implies @ X2 @ X1 ) @ X0 ) ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl23]) ).

thf(zip_derived_cl7_010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( is_a_theorem @ ( implies @ X1 @ X2 ) )
      | ( is_a_theorem @ ( implies @ ( implies @ X2 @ X0 ) @ ( implies @ X1 @ X0 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(prove_cn_14,conjecture,
    is_a_theorem @ ( implies @ ( implies @ ( implies @ x @ ( implies @ ( implies @ y @ z ) @ z ) ) @ u ) @ ( implies @ ( implies @ ( not @ z ) @ y ) @ u ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( is_a_theorem @ ( implies @ ( implies @ ( implies @ x @ ( implies @ ( implies @ y @ z ) @ z ) ) @ u ) @ ( implies @ ( implies @ ( not @ z ) @ y ) @ u ) ) ),
    inference('cnf.neg',[status(esa)],[prove_cn_14]) ).

thf(zip_derived_cl4,plain,
    ~ ( is_a_theorem @ ( implies @ ( implies @ ( implies @ x @ ( implies @ ( implies @ y @ z ) @ z ) ) @ u ) @ ( implies @ ( implies @ ( not @ z ) @ y ) @ u ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,plain,
    ~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ z ) @ y ) @ ( implies @ x @ ( implies @ ( implies @ y @ z ) @ z ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl4]) ).

thf(zip_derived_cl13344,plain,
    ~ ( is_a_theorem @ ( implies @ x @ ( implies @ ( implies @ ( not @ z ) @ z ) @ z ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl524,zip_derived_cl20]) ).

thf(zip_derived_cl13362,plain,
    ~ ( is_a_theorem @ ( implies @ ( implies @ ( not @ z ) @ z ) @ z ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl13344]) ).

thf(zip_derived_cl2_011,plain,
    ! [X0: $i] : ( is_a_theorem @ ( implies @ ( implies @ ( not @ X0 ) @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[cn_2]) ).

thf(zip_derived_cl13368,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl13362,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL365+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rt4TgCXM9j true
% 0.11/0.38  % Computer : n019.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sat Sep  5 23:53:23 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  % Running portfolio for 300 s
% 0.11/0.38  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.39  % Number of cores: 8
% 0.11/0.39  % Python version: Python 3.12.3
% 0.11/0.39  % Running in FO mode
% 0.46/0.66  % Total configuration time : 435
% 0.46/0.66  % Estimated wc time : 1092
% 0.46/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 45.52/7.17  % Solved by fo/fo1_av.sh.
% 45.52/7.17  % done 2437 iterations in 6.331s
% 45.52/7.17  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 45.52/7.17  % SZS output start Refutation
% See solution above
% 45.52/7.17  
% 45.52/7.17  
% 45.52/7.17  % Terminating...
% 7.89/7.22  % Runner terminated.
% 7.89/7.24  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------