TSTP Solution File: ITP066^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP066^1 : 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.wt3WdHFEEN true

% Computer : n007.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 05:21:57 EDT 2023

% Result   : Theorem 1.48s 0.97s
% Output   : Refutation 1.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   45 (  19 unt;  17 typ;   0 def)
%            Number of atoms       :   59 (  27 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  462 (   2   ~;   0   |;   0   &; 429   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Number of types       :    3 (   3 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  14 usr;  11 con; 0-3 aty)
%                                         (  31  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   82 (  31   ^;  51   !;   0   ?;  82   :)

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

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

thf(produc143150363Tree_a_type,type,
    produc143150363Tree_a: $tType ).

thf(t_a2_type,type,
    t_a2: tree_a ).

thf(l2_type,type,
    l2: tree_a ).

thf(product_snd_a_Tree_a_type,type,
    product_snd_a_Tree_a: produc143150363Tree_a > tree_a ).

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

thf(produc686083979Tree_a_type,type,
    produc686083979Tree_a: a > tree_a > produc143150363Tree_a ).

thf(r2_type,type,
    r2: tree_a ).

thf(r1_type,type,
    r1: tree_a ).

thf(v2_type,type,
    v2: a ).

thf(v1_type,type,
    v1: a ).

thf(l1_type,type,
    l1: tree_a ).

thf(v3_type,type,
    v3: a ).

thf(heapIm837449470Leaf_a_type,type,
    heapIm837449470Leaf_a: tree_a > produc143150363Tree_a ).

thf(product_fst_a_Tree_a_type,type,
    product_fst_a_Tree_a: produc143150363Tree_a > a ).

thf(v_a_type,type,
    v_a: a ).

thf(fact_3__092_060open_062t_H_A_061_AT_Av_A_Isnd_A_IremoveLeaf_A_IT_Av1_Al1_Ar1_J_J_J_A_IT_Av2_Al2_Ar2_J_092_060close_062,axiom,
    ( t_a2
    = ( t_a @ v3 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ).

thf(zip_derived_cl3,plain,
    ( t_a2
    = ( t_a @ v3 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) @ ( t_a @ v2 @ l2 @ r2 ) ) ),
    inference(cnf,[status(esa)],[fact_3__092_060open_062t_H_A_061_AT_Av_A_Isnd_A_IremoveLeaf_A_IT_Av1_Al1_Ar1_J_J_J_A_IT_Av2_Al2_Ar2_J_092_060close_062]) ).

thf(fact_5_removeLeaf_Osimps_I5_J,axiom,
    ! [V: a,Vd: a,Ve: tree_a,Vf: tree_a,Va: a,Vb: tree_a,Vc: tree_a] :
      ( ( heapIm837449470Leaf_a @ ( t_a @ V @ ( t_a @ Vd @ Ve @ Vf ) @ ( t_a @ Va @ Vb @ Vc ) ) )
      = ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ Vd @ Ve @ Vf ) ) ) @ ( t_a @ V @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ Vd @ Ve @ Vf ) ) ) @ ( t_a @ Va @ Vb @ Vc ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: tree_a] :
                ( !!
                @ ^ [Y3: tree_a] :
                    ( !!
                    @ ^ [Y4: a] :
                        ( !!
                        @ ^ [Y5: tree_a] :
                            ( !!
                            @ ^ [Y6: tree_a] :
                                ( ( heapIm837449470Leaf_a @ ( t_a @ Y0 @ ( t_a @ Y1 @ Y2 @ Y3 ) @ ( t_a @ Y4 @ Y5 @ Y6 ) ) )
                                = ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ Y1 @ Y2 @ Y3 ) ) ) @ ( t_a @ Y0 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ Y1 @ Y2 @ Y3 ) ) ) @ ( t_a @ Y4 @ Y5 @ Y6 ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_5_removeLeaf_Osimps_I5_J]) ).

thf(zip_derived_cl436,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: tree_a] :
              ( !!
              @ ^ [Y2: tree_a] :
                  ( !!
                  @ ^ [Y3: a] :
                      ( !!
                      @ ^ [Y4: tree_a] :
                          ( !!
                          @ ^ [Y5: tree_a] :
                              ( ( heapIm837449470Leaf_a @ ( t_a @ X2 @ ( t_a @ Y0 @ Y1 @ Y2 ) @ ( t_a @ Y3 @ Y4 @ Y5 ) ) )
                              = ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) ) @ ( t_a @ X2 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ Y0 @ Y1 @ Y2 ) ) ) @ ( t_a @ Y3 @ Y4 @ Y5 ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl437,plain,
    ! [X2: a,X4: a] :
      ( !!
      @ ^ [Y0: tree_a] :
          ( !!
          @ ^ [Y1: tree_a] :
              ( !!
              @ ^ [Y2: a] :
                  ( !!
                  @ ^ [Y3: tree_a] :
                      ( !!
                      @ ^ [Y4: tree_a] :
                          ( ( heapIm837449470Leaf_a @ ( t_a @ X2 @ ( t_a @ X4 @ Y0 @ Y1 ) @ ( t_a @ Y2 @ Y3 @ Y4 ) ) )
                          = ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ Y0 @ Y1 ) ) ) @ ( t_a @ X2 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ Y0 @ Y1 ) ) ) @ ( t_a @ Y2 @ Y3 @ Y4 ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl436]) ).

thf(zip_derived_cl438,plain,
    ! [X2: a,X4: a,X6: tree_a] :
      ( !!
      @ ^ [Y0: tree_a] :
          ( !!
          @ ^ [Y1: a] :
              ( !!
              @ ^ [Y2: tree_a] :
                  ( !!
                  @ ^ [Y3: tree_a] :
                      ( ( heapIm837449470Leaf_a @ ( t_a @ X2 @ ( t_a @ X4 @ X6 @ Y0 ) @ ( t_a @ Y1 @ Y2 @ Y3 ) ) )
                      = ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ Y0 ) ) ) @ ( t_a @ X2 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ Y0 ) ) ) @ ( t_a @ Y1 @ Y2 @ Y3 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl437]) ).

thf(zip_derived_cl439,plain,
    ! [X2: a,X4: a,X6: tree_a,X8: tree_a] :
      ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: tree_a] :
              ( !!
              @ ^ [Y2: tree_a] :
                  ( ( heapIm837449470Leaf_a @ ( t_a @ X2 @ ( t_a @ X4 @ X6 @ X8 ) @ ( t_a @ Y0 @ Y1 @ Y2 ) ) )
                  = ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ X8 ) ) ) @ ( t_a @ X2 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ X8 ) ) ) @ ( t_a @ Y0 @ Y1 @ Y2 ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl438]) ).

thf(zip_derived_cl440,plain,
    ! [X2: a,X4: a,X6: tree_a,X8: tree_a,X10: a] :
      ( !!
      @ ^ [Y0: tree_a] :
          ( !!
          @ ^ [Y1: tree_a] :
              ( ( heapIm837449470Leaf_a @ ( t_a @ X2 @ ( t_a @ X4 @ X6 @ X8 ) @ ( t_a @ X10 @ Y0 @ Y1 ) ) )
              = ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ X8 ) ) ) @ ( t_a @ X2 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ X8 ) ) ) @ ( t_a @ X10 @ Y0 @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl439]) ).

thf(zip_derived_cl441,plain,
    ! [X2: a,X4: a,X6: tree_a,X8: tree_a,X10: a,X12: tree_a] :
      ( !!
      @ ^ [Y0: tree_a] :
          ( ( heapIm837449470Leaf_a @ ( t_a @ X2 @ ( t_a @ X4 @ X6 @ X8 ) @ ( t_a @ X10 @ X12 @ Y0 ) ) )
          = ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ X8 ) ) ) @ ( t_a @ X2 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ X8 ) ) ) @ ( t_a @ X10 @ X12 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl440]) ).

thf(zip_derived_cl442,plain,
    ! [X2: a,X4: a,X6: tree_a,X8: tree_a,X10: a,X12: tree_a,X14: tree_a] :
      ( ( heapIm837449470Leaf_a @ ( t_a @ X2 @ ( t_a @ X4 @ X6 @ X8 ) @ ( t_a @ X10 @ X12 @ X14 ) ) )
      = ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ X8 ) ) ) @ ( t_a @ X2 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ X8 ) ) ) @ ( t_a @ X10 @ X12 @ X14 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl441]) ).

thf(zip_derived_cl443,plain,
    ! [X2: a,X4: a,X6: tree_a,X8: tree_a,X10: a,X12: tree_a,X14: tree_a] :
      ( ( heapIm837449470Leaf_a @ ( t_a @ X2 @ ( t_a @ X4 @ X6 @ X8 ) @ ( t_a @ X10 @ X12 @ X14 ) ) )
      = ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ X8 ) ) ) @ ( t_a @ X2 @ ( product_snd_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ X4 @ X6 @ X8 ) ) ) @ ( t_a @ X10 @ X12 @ X14 ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl442]) ).

thf(zip_derived_cl449,plain,
    ( ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) )
    = ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) @ t_a2 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3,zip_derived_cl443]) ).

thf(fact_0__C4__2_Oprems_C_I1_J,axiom,
    ( ( produc686083979Tree_a @ v_a @ t_a2 )
    = ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ) ).

thf(zip_derived_cl0,plain,
    ( ( produc686083979Tree_a @ v_a @ t_a2 )
    = ( heapIm837449470Leaf_a @ ( t_a @ v3 @ ( t_a @ v1 @ l1 @ r1 ) @ ( t_a @ v2 @ l2 @ r2 ) ) ) ),
    inference(cnf,[status(esa)],[fact_0__C4__2_Oprems_C_I1_J]) ).

thf(zip_derived_cl461,plain,
    ( ( produc686083979Tree_a @ v_a @ t_a2 )
    = ( produc686083979Tree_a @ ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) @ t_a2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl449,zip_derived_cl0]) ).

thf(fact_22_fst__conv,axiom,
    ! [X1: a,X2: tree_a] :
      ( ( product_fst_a_Tree_a @ ( produc686083979Tree_a @ X1 @ X2 ) )
      = X1 ) ).

thf(zip_derived_cl22,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: tree_a] :
            ( ( product_fst_a_Tree_a @ ( produc686083979Tree_a @ Y0 @ Y1 ) )
            = Y0 ) ) ),
    inference(cnf,[status(esa)],[fact_22_fst__conv]) ).

thf(zip_derived_cl823,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: tree_a] :
          ( ( product_fst_a_Tree_a @ ( produc686083979Tree_a @ X2 @ Y0 ) )
          = X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl824,plain,
    ! [X2: a,X4: tree_a] :
      ( ( product_fst_a_Tree_a @ ( produc686083979Tree_a @ X2 @ X4 ) )
      = X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl823]) ).

thf(zip_derived_cl825,plain,
    ! [X2: a,X4: tree_a] :
      ( ( product_fst_a_Tree_a @ ( produc686083979Tree_a @ X2 @ X4 ) )
      = X2 ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl824]) ).

thf(zip_derived_cl830,plain,
    ( ( product_fst_a_Tree_a @ ( produc686083979Tree_a @ v_a @ t_a2 ) )
    = ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl461,zip_derived_cl825]) ).

thf(zip_derived_cl825_001,plain,
    ! [X2: a,X4: tree_a] :
      ( ( product_fst_a_Tree_a @ ( produc686083979Tree_a @ X2 @ X4 ) )
      = X2 ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl824]) ).

thf(zip_derived_cl842,plain,
    ( v_a
    = ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl830,zip_derived_cl825]) ).

thf(conj_0,conjecture,
    ( v_a
    = ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( v_a
   != ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl356,plain,
    ( v_a
   != ( product_fst_a_Tree_a @ ( heapIm837449470Leaf_a @ ( t_a @ v1 @ l1 @ r1 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl843,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl842,zip_derived_cl356]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ITP066^1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wt3WdHFEEN true
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun Aug 27 10:51:42 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.36  % Number of cores: 8
% 0.22/0.36  % Python version: Python 3.6.8
% 0.22/0.36  % Running in HO mode
% 0.22/0.68  % Total configuration time : 828
% 0.22/0.68  % Estimated wc time : 1656
% 0.22/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.75/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.75/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.29/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.29/0.78  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.29/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.29/0.80  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.42/0.82  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.43/0.87  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.48/0.97  % Solved by lams/35_full_unif4.sh.
% 1.48/0.97  % done 135 iterations in 0.173s
% 1.48/0.97  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.48/0.97  % SZS output start Refutation
% See solution above
% 1.48/0.97  
% 1.48/0.97  
% 1.48/0.97  % Terminating...
% 1.77/1.09  % Runner terminated.
% 1.81/1.10  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------