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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV371+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KUHp1UVI8d true

% Computer : n008.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 05:00:56 PM UTC 2025

% Result   : Theorem 0.41s 0.91s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   39 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :   72 (  21 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  412 (  23   ~;  26   |;   1   &; 356   @)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   6 con; 0-3 aty)
%            Number of variables   :   66 (   0   ^;  66   !;   0   ?;  66   :)

% Comments : 
%------------------------------------------------------------------------------
thf(pi_sharp_find_min_type,type,
    pi_sharp_find_min: $i > $i > $o ).

thf(findmin_cpq_res_type,type,
    findmin_cpq_res: $i > $i ).

thf(bad_type,type,
    bad: $i ).

thf(contains_pq_type,type,
    contains_pq: $i > $i > $o ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(issmallestelement_pq_type,type,
    issmallestelement_pq: $i > $i > $o ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(i_type,type,
    i: $i > $i ).

thf(create_slb_type,type,
    create_slb: $i ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(findmin_pqp_res_type,type,
    findmin_pqp_res: $i > $i ).

thf(phi_type,type,
    phi: $i > $o ).

thf(findmin_cpq_eff_type,type,
    findmin_cpq_eff: $i > $i ).

thf(triple_type,type,
    triple: $i > $i > $i > $i ).

thf(l7_l8,axiom,
    ! [U: $i,V: $i,W: $i] :
      ( ( phi @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) )
     => ( contains_pq @ ( i @ ( triple @ U @ V @ W ) ) @ ( findmin_cpq_res @ ( triple @ U @ V @ W ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( contains_pq @ ( i @ ( triple @ X0 @ X1 @ X2 ) ) @ ( findmin_cpq_res @ ( triple @ X0 @ X1 @ X2 ) ) )
      | ~ ( phi @ ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[l7_l8]) ).

thf(ax58,axiom,
    ! [U: $i,V: $i] :
      ( ( pi_sharp_find_min @ U @ V )
    <=> ( ( contains_pq @ U @ V )
        & ( issmallestelement_pq @ U @ V ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( pi_sharp_find_min @ X0 @ X1 )
      | ~ ( issmallestelement_pq @ X0 @ X1 )
      | ~ ( contains_pq @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax58]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( phi @ ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) )
      | ~ ( issmallestelement_pq @ ( i @ ( triple @ X2 @ X1 @ X0 ) ) @ ( findmin_cpq_res @ ( triple @ X2 @ X1 @ X0 ) ) )
      | ( pi_sharp_find_min @ ( i @ ( triple @ X2 @ X1 @ X0 ) ) @ ( findmin_cpq_res @ ( triple @ X2 @ X1 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl6]) ).

thf(l7_lX,axiom,
    ! [U: $i,V: $i,W: $i] :
      ( ( phi @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) )
     => ( issmallestelement_pq @ ( i @ ( triple @ U @ V @ W ) ) @ ( findmin_cpq_res @ ( triple @ U @ V @ W ) ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( issmallestelement_pq @ ( i @ ( triple @ X0 @ X1 @ X2 ) ) @ ( findmin_cpq_res @ ( triple @ X0 @ X1 @ X2 ) ) )
      | ~ ( phi @ ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[l7_lX]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( pi_sharp_find_min @ ( i @ ( triple @ X2 @ X1 @ X0 ) ) @ ( findmin_cpq_res @ ( triple @ X2 @ X1 @ X0 ) ) )
      | ~ ( phi @ ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) )
      | ~ ( phi @ ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl12]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( phi @ ( findmin_cpq_eff @ ( triple @ X2 @ X1 @ X0 ) ) )
      | ( pi_sharp_find_min @ ( i @ ( triple @ X2 @ X1 @ X0 ) ) @ ( findmin_cpq_res @ ( triple @ X2 @ X1 @ X0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl36]) ).

thf(l7_co,conjecture,
    ! [U: $i,V: $i,W: $i] :
      ( ( phi @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) )
     => ( pi_sharp_find_min @ ( i @ ( triple @ U @ V @ W ) ) @ ( findmin_cpq_res @ ( triple @ U @ V @ W ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i,V: $i,W: $i] :
        ( ( phi @ ( findmin_cpq_eff @ ( triple @ U @ V @ W ) ) )
       => ( pi_sharp_find_min @ ( i @ ( triple @ U @ V @ W ) ) @ ( findmin_cpq_res @ ( triple @ U @ V @ W ) ) ) ),
    inference('cnf.neg',[status(esa)],[l7_co]) ).

thf(zip_derived_cl14,plain,
    ~ ( pi_sharp_find_min @ ( i @ ( triple @ sk__1 @ sk__2 @ sk__3 ) ) @ ( findmin_cpq_res @ ( triple @ sk__1 @ sk__2 @ sk__3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl75,plain,
    ~ ( phi @ ( findmin_cpq_eff @ ( triple @ sk__1 @ sk__2 @ sk__3 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl14]) ).

thf(ax46,axiom,
    ! [U: $i,V: $i] :
      ( ( findmin_cpq_eff @ ( triple @ U @ create_slb @ V ) )
      = ( triple @ U @ create_slb @ bad ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( findmin_cpq_eff @ ( triple @ X0 @ create_slb @ X1 ) )
      = ( triple @ X0 @ create_slb @ bad ) ),
    inference(cnf,[status(esa)],[ax46]) ).

thf(zip_derived_cl13,plain,
    phi @ ( findmin_cpq_eff @ ( triple @ sk__1 @ sk__2 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax51,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( V != create_slb )
     => ( ( findmin_cpq_res @ ( triple @ U @ V @ W ) )
        = ( findmin_pqp_res @ U ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( findmin_cpq_res @ ( triple @ X0 @ X1 @ X2 ) )
        = ( findmin_pqp_res @ X0 ) )
      | ( X1 = create_slb ) ),
    inference(cnf,[status(esa)],[ax51]) ).

thf(zip_derived_cl12_001,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( issmallestelement_pq @ ( i @ ( triple @ X0 @ X1 @ X2 ) ) @ ( findmin_cpq_res @ ( triple @ X0 @ X1 @ X2 ) ) )
      | ~ ( phi @ ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[l7_lX]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( issmallestelement_pq @ ( i @ ( triple @ X0 @ X2 @ X1 ) ) @ ( findmin_pqp_res @ X0 ) )
      | ( X2 = create_slb )
      | ~ ( phi @ ( findmin_cpq_eff @ ( triple @ X0 @ X2 @ X1 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl12]) ).

thf(zip_derived_cl40,plain,
    ( ( sk__2 = create_slb )
    | ( issmallestelement_pq @ ( i @ ( triple @ sk__1 @ sk__2 @ sk__3 ) ) @ ( findmin_pqp_res @ sk__1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl37]) ).

thf(zip_derived_cl13_002,plain,
    phi @ ( findmin_cpq_eff @ ( triple @ sk__1 @ sk__2 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2_003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( findmin_cpq_res @ ( triple @ X0 @ X1 @ X2 ) )
        = ( findmin_pqp_res @ X0 ) )
      | ( X1 = create_slb ) ),
    inference(cnf,[status(esa)],[ax51]) ).

thf(zip_derived_cl11_004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( contains_pq @ ( i @ ( triple @ X0 @ X1 @ X2 ) ) @ ( findmin_cpq_res @ ( triple @ X0 @ X1 @ X2 ) ) )
      | ~ ( phi @ ( findmin_cpq_eff @ ( triple @ X0 @ X1 @ X2 ) ) ) ),
    inference(cnf,[status(esa)],[l7_l8]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( contains_pq @ ( i @ ( triple @ X0 @ X2 @ X1 ) ) @ ( findmin_pqp_res @ X0 ) )
      | ( X2 = create_slb )
      | ~ ( phi @ ( findmin_cpq_eff @ ( triple @ X0 @ X2 @ X1 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl11]) ).

thf(zip_derived_cl29,plain,
    ( ( sk__2 = create_slb )
    | ( contains_pq @ ( i @ ( triple @ sk__1 @ sk__2 @ sk__3 ) ) @ ( findmin_pqp_res @ sk__1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl28]) ).

thf(zip_derived_cl6_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( pi_sharp_find_min @ X0 @ X1 )
      | ~ ( issmallestelement_pq @ X0 @ X1 )
      | ~ ( contains_pq @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ax58]) ).

thf(zip_derived_cl42,plain,
    ( ( sk__2 = create_slb )
    | ~ ( issmallestelement_pq @ ( i @ ( triple @ sk__1 @ sk__2 @ sk__3 ) ) @ ( findmin_pqp_res @ sk__1 ) )
    | ( pi_sharp_find_min @ ( i @ ( triple @ sk__1 @ sk__2 @ sk__3 ) ) @ ( findmin_pqp_res @ sk__1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl6]) ).

thf(zip_derived_cl2_006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( findmin_cpq_res @ ( triple @ X0 @ X1 @ X2 ) )
        = ( findmin_pqp_res @ X0 ) )
      | ( X1 = create_slb ) ),
    inference(cnf,[status(esa)],[ax51]) ).

thf(zip_derived_cl14_007,plain,
    ~ ( pi_sharp_find_min @ ( i @ ( triple @ sk__1 @ sk__2 @ sk__3 ) ) @ ( findmin_cpq_res @ ( triple @ sk__1 @ sk__2 @ sk__3 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,plain,
    ( ~ ( pi_sharp_find_min @ ( i @ ( triple @ sk__1 @ sk__2 @ sk__3 ) ) @ ( findmin_pqp_res @ sk__1 ) )
    | ( sk__2 = create_slb ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl14]) ).

thf(zip_derived_cl44,plain,
    ( ~ ( issmallestelement_pq @ ( i @ ( triple @ sk__1 @ sk__2 @ sk__3 ) ) @ ( findmin_pqp_res @ sk__1 ) )
    | ( sk__2 = create_slb ) ),
    inference(clc,[status(thm)],[zip_derived_cl42,zip_derived_cl20]) ).

thf(zip_derived_cl48,plain,
    sk__2 = create_slb,
    inference(clc,[status(thm)],[zip_derived_cl40,zip_derived_cl44]) ).

thf(zip_derived_cl48_008,plain,
    sk__2 = create_slb,
    inference(clc,[status(thm)],[zip_derived_cl40,zip_derived_cl44]) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i] :
      ( ( findmin_cpq_eff @ ( triple @ X0 @ sk__2 @ X1 ) )
      = ( triple @ X0 @ sk__2 @ bad ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl48,zip_derived_cl48]) ).

thf(zip_derived_cl13_009,plain,
    phi @ ( findmin_cpq_eff @ ( triple @ sk__1 @ sk__2 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49_010,plain,
    ! [X0: $i,X1: $i] :
      ( ( findmin_cpq_eff @ ( triple @ X0 @ sk__2 @ X1 ) )
      = ( triple @ X0 @ sk__2 @ bad ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl48,zip_derived_cl48]) ).

thf(zip_derived_cl57,plain,
    phi @ ( triple @ sk__1 @ sk__2 @ bad ),
    inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl49]) ).

thf(zip_derived_cl78,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl75,zip_derived_cl49,zip_derived_cl57]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWV371+1 : TPTP v9.2.0. Released v3.3.0.
% 0.08/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KUHp1UVI8d true
% 0.15/0.38  % Computer : n008.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit : 300
% 0.15/0.38  % WCLimit  : 300
% 0.15/0.38  % DateTime : Wed Oct  1 12:51:53 EDT 2025
% 0.15/0.38  % CPUTime  : 
% 0.15/0.38  % Running portfolio for 300 s
% 0.15/0.38  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.38  % Number of cores: 8
% 0.15/0.38  % Python version: Python 3.6.8
% 0.15/0.39  % Running in FO mode
% 0.38/0.72  % Total configuration time : 435
% 0.38/0.72  % Estimated wc time : 1092
% 0.38/0.72  % Estimated cpu time (7 cpus) : 156.0
% 0.41/0.81  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.41/0.81  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.41/0.84  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.41/0.85  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.41/0.85  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.41/0.85  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.41/0.86  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.41/0.91  % Solved by fo/fo4.sh.
% 0.41/0.91  % done 43 iterations in 0.029s
% 0.41/0.91  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.41/0.91  % SZS output start Refutation
% See solution above
% 0.41/0.91  
% 0.41/0.91  
% 0.41/0.91  % Terminating...
% 0.41/0.95  % Runner terminated.
% 0.41/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------