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Zipperpin---2.1.9999.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET856-2 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VRzYoCsSDi true

% Computer : n027.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 04:53:01 PM UTC 2025

% Result   : Unsatisfiable 0.21s 1.49s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :    7 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   69 (   3   ~;   0   |;   0   &;  66   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v_n_type,type,
    v_n: $i ).

thf(c_lessequals_type,type,
    c_lessequals: $i > $i > $i > $o ).

thf(v_S_type,type,
    v_S: $i ).

thf(tc_set_type,type,
    tc_set: $i > $i ).

thf(t_a_type,type,
    t_a: $i ).

thf(c_Zorn_Osucc_type,type,
    c_Zorn_Osucc: $i > $i > $i > $i ).

thf(v_Y_type,type,
    v_Y: $i ).

thf(c_Union_type,type,
    c_Union: $i > $i > $i ).

thf(cls_conjecture_3,conjecture,
    ~ ( c_lessequals @ ( c_Zorn_Osucc @ v_S @ v_n @ t_a ) @ ( c_Union @ v_Y @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    c_lessequals @ ( c_Zorn_Osucc @ v_S @ v_n @ t_a ) @ ( c_Union @ v_Y @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ),
    inference('cnf.neg',[status(esa)],[cls_conjecture_3]) ).

thf(zip_derived_cl0,plain,
    c_lessequals @ ( c_Zorn_Osucc @ v_S @ v_n @ t_a ) @ ( c_Union @ v_Y @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(cls_conjecture_5,conjecture,
    c_lessequals @ ( c_Zorn_Osucc @ v_S @ v_n @ t_a ) @ ( c_Union @ v_Y @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( c_lessequals @ ( c_Zorn_Osucc @ v_S @ v_n @ t_a ) @ ( c_Union @ v_Y @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ) ),
    inference('cnf.neg',[status(esa)],[cls_conjecture_5]) ).

thf(zip_derived_cl1,plain,
    ~ ( c_lessequals @ ( c_Zorn_Osucc @ v_S @ v_n @ t_a ) @ ( c_Union @ v_Y @ ( tc_set @ t_a ) ) @ ( tc_set @ ( tc_set @ t_a ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    $false,
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.78  % Problem  : SET856-2 : TPTP v9.2.0. Released v3.2.0.
% 0.07/0.83  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VRzYoCsSDi true
% 0.08/1.11  % Computer : n027.cluster.edu
% 0.08/1.11  % Model    : x86_64 x86_64
% 0.08/1.11  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/1.11  % Memory   : 8042.1875MB
% 0.08/1.11  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/1.11  % CPULimit : 300
% 0.08/1.11  % WCLimit  : 300
% 0.08/1.11  % DateTime : Wed Oct  1 12:55:24 EDT 2025
% 0.08/1.13  % CPUTime  : 
% 0.08/1.13  % Running portfolio for 300 s
% 0.08/1.13  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/1.14  % Number of cores: 8
% 0.08/1.15  % Python version: Python 3.6.8
% 0.08/1.16  % Running in FO mode
% 0.21/1.43  % Total configuration time : 435
% 0.21/1.43  % Estimated wc time : 1092
% 0.21/1.43  % Estimated cpu time (7 cpus) : 156.0
% 0.21/1.47  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/1.49  % Solved by fo/fo6_bce.sh.
% 0.21/1.49  % BCE start: 2
% 0.21/1.49  % BCE eliminated: 0
% 0.21/1.49  % PE start: 2
% 0.21/1.49  logic: neq
% 0.21/1.49  % PE eliminated: 1
% 0.21/1.49  % done 0 iterations in 0.003s
% 0.21/1.49  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/1.49  % SZS output start Refutation
% See solution above
% 0.21/1.49  
% 0.21/1.49  
% 0.21/1.49  % Terminating...
% 0.77/1.60  % Runner terminated.
% 0.77/1.62  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------