%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP068^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PhBvYgYblS true

% Computer : n006.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 Aug 31 05:21:58 EDT 2023

% Result   : Theorem 31.62s 4.77s
% Output   : Refutation 31.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   37 (  13 unt;  17 typ;   0 def)
%            Number of atoms       :   48 (  12 equ;   1 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  257 (   4   ~;   0   |;   4   &; 226   @)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   7 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  15 usr;  11 con; 0-3 aty)
%                                         (  17  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   34 (  17   ^;  17   !;   0   ?;  34   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tree_a_type,type,
    tree_a: $tType ).

thf(a_type,type,
    a: $tType ).

thf(heapIm1140443833left_a_type,type,
    heapIm1140443833left_a: tree_a > tree_a ).

thf(l1_type,type,
    l1: tree_a ).

thf(v2_type,type,
    v2: a ).

thf(la_type,type,
    la: tree_a ).

thf(ra_type,type,
    ra: tree_a ).

thf(v1_type,type,
    v1: a ).

thf(ord_less_eq_a_type,type,
    ord_less_eq_a: a > a > $o ).

thf(e_a_type,type,
    e_a: tree_a ).

thf(heapIm1091024090Down_a_type,type,
    heapIm1091024090Down_a: tree_a > tree_a ).

thf(r1_type,type,
    r1: tree_a ).

thf(val_a_type,type,
    val_a: tree_a > a ).

thf(va_type,type,
    va: a ).

thf(is_heap_a_type,type,
    is_heap_a: tree_a > $o ).

thf(t_a_type,type,
    t_a: a > tree_a > tree_a > tree_a ).

thf(heapIm1257206334ight_a_type,type,
    heapIm1257206334ight_a: tree_a > tree_a ).

thf(fact_0__C4_Oprems_C_I2_J,axiom,
    is_heap_a @ ra ).

thf(zip_derived_cl0,plain,
    is_heap_a @ ra,
    inference(cnf,[status(esa)],[fact_0__C4_Oprems_C_I2_J]) ).

thf(fact_4_True,axiom,
    ord_less_eq_a @ v1 @ v2 ).

thf(zip_derived_cl4,plain,
    ord_less_eq_a @ v1 @ v2,
    inference(cnf,[status(esa)],[fact_4_True]) ).

thf(conj_0,conjecture,
    is_heap_a @ ( heapIm1091024090Down_a @ ( t_a @ v2 @ e_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( is_heap_a @ ( heapIm1091024090Down_a @ ( t_a @ v2 @ e_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl175,plain,
    ~ ( is_heap_a @ ( heapIm1091024090Down_a @ ( t_a @ v2 @ e_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_32_is__heap_Osimps_I3_J,axiom,
    ! [V: a,Va2: a,Vb2: tree_a,Vc2: tree_a] :
      ( ( is_heap_a @ ( t_a @ V @ e_a @ ( t_a @ Va2 @ Vb2 @ Vc2 ) ) )
    <=> ( ( ord_less_eq_a @ ( val_a @ ( t_a @ Va2 @ Vb2 @ Vc2 ) ) @ V )
        & ( is_heap_a @ ( t_a @ Va2 @ Vb2 @ Vc2 ) ) ) ) ).

thf(zip_derived_cl32,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: tree_a] :
                ( !!
                @ ^ [Y3: tree_a] :
                    ( ( is_heap_a @ ( t_a @ Y0 @ e_a @ ( t_a @ Y1 @ Y2 @ Y3 ) ) )
                  <=> ( ( ord_less_eq_a @ ( val_a @ ( t_a @ Y1 @ Y2 @ Y3 ) ) @ Y0 )
                      & ( is_heap_a @ ( t_a @ Y1 @ Y2 @ Y3 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_32_is__heap_Osimps_I3_J]) ).

thf(fact_34_right_Osimps,axiom,
    ! [V: a,L: tree_a,R: tree_a] :
      ( ( heapIm1257206334ight_a @ ( t_a @ V @ L @ R ) )
      = R ) ).

thf(zip_derived_cl34,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: tree_a] :
            ( !!
            @ ^ [Y2: tree_a] :
                ( ( heapIm1257206334ight_a @ ( t_a @ Y0 @ Y1 @ Y2 ) )
                = Y2 ) ) ) ),
    inference(cnf,[status(esa)],[fact_34_right_Osimps]) ).

thf(fact_30_siftDown_Osimps_I4_J,axiom,
    ! [Va2: a,Vb2: tree_a,Vc2: tree_a,V: a] :
      ( ( ( ord_less_eq_a @ ( val_a @ ( t_a @ Va2 @ Vb2 @ Vc2 ) ) @ V )
       => ( ( heapIm1091024090Down_a @ ( t_a @ V @ e_a @ ( t_a @ Va2 @ Vb2 @ Vc2 ) ) )
          = ( t_a @ V @ e_a @ ( t_a @ Va2 @ Vb2 @ Vc2 ) ) ) )
      & ( ~ ( ord_less_eq_a @ ( val_a @ ( t_a @ Va2 @ Vb2 @ Vc2 ) ) @ V )
       => ( ( heapIm1091024090Down_a @ ( t_a @ V @ e_a @ ( t_a @ Va2 @ Vb2 @ Vc2 ) ) )
          = ( t_a @ ( val_a @ ( t_a @ Va2 @ Vb2 @ Vc2 ) ) @ e_a @ ( heapIm1091024090Down_a @ ( t_a @ V @ ( heapIm1140443833left_a @ ( t_a @ Va2 @ Vb2 @ Vc2 ) ) @ ( heapIm1257206334ight_a @ ( t_a @ Va2 @ Vb2 @ Vc2 ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl30,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: tree_a] :
            ( !!
            @ ^ [Y2: tree_a] :
                ( !!
                @ ^ [Y3: a] :
                    ( ( ( ord_less_eq_a @ ( val_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) @ Y3 )
                     => ( ( heapIm1091024090Down_a @ ( t_a @ Y3 @ e_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) )
                        = ( t_a @ Y3 @ e_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) ) )
                    & ( ( (~) @ ( ord_less_eq_a @ ( val_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) @ Y3 ) )
                     => ( ( heapIm1091024090Down_a @ ( t_a @ Y3 @ e_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) )
                        = ( t_a @ ( val_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) @ e_a @ ( heapIm1091024090Down_a @ ( t_a @ Y3 @ ( heapIm1140443833left_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) @ ( heapIm1257206334ight_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_30_siftDown_Osimps_I4_J]) ).

thf(fact_20_left_Osimps,axiom,
    ! [V: a,L: tree_a,R: tree_a] :
      ( ( heapIm1140443833left_a @ ( t_a @ V @ L @ R ) )
      = L ) ).

thf(zip_derived_cl20,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: tree_a] :
            ( !!
            @ ^ [Y2: tree_a] :
                ( ( heapIm1140443833left_a @ ( t_a @ Y0 @ Y1 @ Y2 ) )
                = Y1 ) ) ) ),
    inference(cnf,[status(esa)],[fact_20_left_Osimps]) ).

thf(fact_5__C4_Oprems_C_I3_J,axiom,
    ( ( t_a @ v2 @ e_a @ ( t_a @ v1 @ l1 @ r1 ) )
    = ( t_a @ va @ la @ ra ) ) ).

thf(zip_derived_cl5,plain,
    ( ( t_a @ v2 @ e_a @ ( t_a @ v1 @ l1 @ r1 ) )
    = ( t_a @ va @ la @ ra ) ),
    inference(cnf,[status(esa)],[fact_5__C4_Oprems_C_I3_J]) ).

thf(fact_22_val_Osimps,axiom,
    ! [V: a,Uu: tree_a,Uv: tree_a] :
      ( ( val_a @ ( t_a @ V @ Uu @ Uv ) )
      = V ) ).

thf(zip_derived_cl22,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: tree_a] :
            ( !!
            @ ^ [Y2: tree_a] :
                ( ( val_a @ ( t_a @ Y0 @ Y1 @ Y2 ) )
                = Y0 ) ) ) ),
    inference(cnf,[status(esa)],[fact_22_val_Osimps]) ).

thf(zip_derived_cl3117,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl0,zip_derived_cl4,zip_derived_cl175,zip_derived_cl32,zip_derived_cl34,zip_derived_cl30,zip_derived_cl20,zip_derived_cl5,zip_derived_cl22]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : ITP068^1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PhBvYgYblS true
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sun Aug 27 13:54:22 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in HO mode
% 0.22/0.66  % Total configuration time : 828
% 0.22/0.66  % Estimated wc time : 1656
% 0.22/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.86/0.79  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.86/0.85  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 31.62/4.77  % Solved by lams/15_e_short1.sh.
% 31.62/4.77  % done 127 iterations in 3.954s
% 31.62/4.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 31.62/4.77  % SZS output start Refutation
% See solution above
% 31.62/4.77  
% 31.62/4.77  
% 31.62/4.77  % Terminating...
% 32.24/4.90  % Runner terminated.
% 32.24/4.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------