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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : MGT092+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.76Syhc3xjL true

% Computer : n029.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 : Tue Sep  8 06:25:22 AM UTC 2026

% Result   : Theorem 0.29s 0.84s
% Output   : Refutation 0.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   27 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :   48 (   1 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  140 (  17   ~;  14   |;   4   &; 102   @)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-4 aty)
%            Number of variables   :   23 (   0   ^;  23   !;   0   ?;  23   :)

% Comments : 
%------------------------------------------------------------------------------
thf(leq_type,type,
    leq: $i > $i > $o ).

thf(v0_type,type,
    v0: $i ).

thf(v800_type,type,
    v800: $i ).

thf(less_type,type,
    less: $i > $i > $o ).

thf(completion_conflict_type,type,
    completion_conflict: $i > $i > $i > $i > $o ).

thf(v400_type,type,
    v400: $i ).

thf(v1200_type,type,
    v1200: $i ).

thf(sharpness_conflict,axiom,
    ! [U: $i,V: $i,InfD: $i,SupD: $i] :
      ( ( ( leq @ InfD @ U )
        & ( leq @ U @ SupD )
        & ( less @ U @ V )
        & ( leq @ V @ SupD ) )
     => ( completion_conflict @ U @ V @ InfD @ SupD ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( leq @ X2 @ X0 )
      | ~ ( leq @ X0 @ X3 )
      | ~ ( leq @ X1 @ X3 )
      | ( completion_conflict @ X0 @ X1 @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[sharpness_conflict]) ).

thf(odrl633,conjecture,
    completion_conflict @ v400 @ v800 @ v0 @ v1200 ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( completion_conflict @ v400 @ v800 @ v0 @ v1200 ),
    inference('cnf.neg',[status(esa)],[odrl633]) ).

thf(zip_derived_cl64,plain,
    ~ ( completion_conflict @ v400 @ v800 @ v0 @ v1200 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl320,plain,
    ( ~ ( leq @ v800 @ v1200 )
    | ~ ( leq @ v400 @ v1200 )
    | ~ ( leq @ v0 @ v400 )
    | ~ ( less @ v400 @ v800 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl64]) ).

thf(ord_v800_v1200,axiom,
    less @ v800 @ v1200 ).

thf(zip_derived_cl57,plain,
    less @ v800 @ v1200,
    inference(cnf,[status(esa)],[ord_v800_v1200]) ).

thf(leq_def,axiom,
    ! [X: $i,Y: $i] :
      ( ( leq @ X @ Y )
    <=> ( ( less @ X @ Y )
        | ( X = Y ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[leq_def]) ).

thf(zip_derived_cl357,plain,
    leq @ v800 @ v1200,
    inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl4]) ).

thf(ord_v0_v400,axiom,
    less @ v0 @ v400 ).

thf(zip_derived_cl55,plain,
    less @ v0 @ v400,
    inference(cnf,[status(esa)],[ord_v0_v400]) ).

thf(zip_derived_cl4_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[leq_def]) ).

thf(zip_derived_cl347,plain,
    leq @ v0 @ v400,
    inference('s_sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl4]) ).

thf(ord_v400_v800,axiom,
    less @ v400 @ v800 ).

thf(zip_derived_cl56,plain,
    less @ v400 @ v800,
    inference(cnf,[status(esa)],[ord_v400_v800]) ).

thf(zip_derived_cl377,plain,
    ~ ( leq @ v400 @ v1200 ),
    inference(demod,[status(thm)],[zip_derived_cl320,zip_derived_cl357,zip_derived_cl347,zip_derived_cl56]) ).

thf(zip_derived_cl57_002,plain,
    less @ v800 @ v1200,
    inference(cnf,[status(esa)],[ord_v800_v1200]) ).

thf(zip_derived_cl56_003,plain,
    less @ v400 @ v800,
    inference(cnf,[status(esa)],[ord_v400_v800]) ).

thf(transitive,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( less @ X @ Y )
        & ( less @ Y @ Z ) )
     => ( less @ X @ Z ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( less @ X1 @ X2 )
      | ( less @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[transitive]) ).

thf(zip_derived_cl352,plain,
    ! [X0: $i] :
      ( ~ ( less @ v800 @ X0 )
      | ( less @ v400 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl1]) ).

thf(zip_derived_cl386,plain,
    less @ v400 @ v1200,
    inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl352]) ).

thf(zip_derived_cl4_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( less @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[leq_def]) ).

thf(zip_derived_cl388,plain,
    leq @ v400 @ v1200,
    inference('s_sup-',[status(thm)],[zip_derived_cl386,zip_derived_cl4]) ).

thf(zip_derived_cl391,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl377,zip_derived_cl388]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT092+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.76Syhc3xjL true
% 0.10/0.44  % Computer : n029.cluster.edu
% 0.10/0.44  % Model    : x86_64 x86_64
% 0.10/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.44  % Memory   : 8046.5625MB
% 0.10/0.44  % OS       : Linux 6.8.0-71-generic
% 0.10/0.44  % CPULimit : 300
% 0.10/0.44  % WCLimit  : 300
% 0.10/0.44  % DateTime : Mon Sep  7 14:26:42 UTC 2026
% 0.10/0.44  % CPUTime  : 
% 0.10/0.44  % Running portfolio for 300 s
% 0.10/0.44  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.45  % Number of cores: 8
% 0.10/0.45  % Python version: Python 3.12.3
% 0.10/0.45  % Running in FO mode
% 0.28/0.73  % Total configuration time : 435
% 0.28/0.73  % Estimated wc time : 1092
% 0.28/0.73  % Estimated cpu time (7 cpus) : 156.0
% 0.29/0.80  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.29/0.84  % Solved by fo/fo6_bce.sh.
% 0.29/0.84  % BCE start: 65
% 0.29/0.84  % BCE eliminated: 7
% 0.29/0.84  % PE start: 58
% 0.29/0.84  logic: eq
% 0.29/0.84  % PE eliminated: 11
% 0.29/0.84  % done 42 iterations in 0.026s
% 0.29/0.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.29/0.84  % SZS output start Refutation
% See solution above
% 0.29/0.85  
% 0.29/0.85  
% 0.29/0.85  % Terminating...
% 0.29/0.88  % Runner terminated.
% 0.29/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------