TSTP Solution File: SWV557-1.007 by Leo-III---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SWV557-1.007 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n016.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 : Tue May 21 05:47:08 EDT 2024

% Result   : Unsatisfiable 5.62s 2.73s
% Output   : Refutation 5.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   26 (  11 unt;  11 typ;   0 def)
%            Number of atoms       :   19 (  18 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives : 2622 (   2   ~;   4   |;   0   &;2616   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;  10 con; 0-3 aty)
%            Number of variables   :   36 (   0   ^  36   !;   0   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a1_type,type,
    a1: $i ).

thf(a2_type,type,
    a2: $i ).

thf(select_type,type,
    select: $i > $i > $i ).

thf(store_type,type,
    store: $i > $i > $i > $i ).

thf(i1_type,type,
    i1: $i ).

thf(i2_type,type,
    i2: $i ).

thf(i3_type,type,
    i3: $i ).

thf(i4_type,type,
    i4: $i ).

thf(i5_type,type,
    i5: $i ).

thf(i6_type,type,
    i6: $i ).

thf(i7_type,type,
    i7: $i ).

thf(6,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( A = B )
      | ( ( store @ ( store @ C @ A @ D ) @ B @ E )
        = ( store @ ( store @ C @ B @ E ) @ A @ D ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a5) ).

thf(20,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( A = B )
      | ( ( store @ ( store @ C @ A @ D ) @ B @ E )
        = ( store @ ( store @ C @ B @ E ) @ A @ D ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(3,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( A = B )
      | ( ( select @ ( store @ C @ A @ D ) @ B )
        = ( select @ C @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).

thf(13,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( A = B )
      | ( ( select @ ( store @ C @ A @ D ) @ B )
        = ( select @ C @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(5,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( store @ ( store @ A @ B @ C ) @ B @ D )
      = ( store @ A @ B @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4) ).

thf(18,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( store @ ( store @ A @ B @ C ) @ B @ D )
      = ( store @ A @ B @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(4,axiom,
    ! [B: $i,A: $i] :
      ( ( store @ A @ B @ ( select @ A @ B ) )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).

thf(16,plain,
    ! [B: $i,A: $i] :
      ( ( store @ A @ B @ ( select @ A @ B ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(2,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( select @ ( store @ A @ B @ C ) @ B )
      = C ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).

thf(11,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( select @ ( store @ A @ B @ C ) @ B )
      = C ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(7,axiom,
    ( ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 ) ) @ i7 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 ) ) @ i7 ) )
    = ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 ) ) @ i7 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 ) ) @ i7 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).

thf(23,plain,
    ( ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 ) ) @ i7 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 ) ) @ i7 ) )
    = ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 ) ) @ i7 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 @ ( select @ ( store @ ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 @ ( select @ ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) @ i5 ) ) @ i6 ) ) @ i7 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(1,negated_conjecture,
    a1 != a2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

thf(8,plain,
    a1 != a2,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(25,plain,
    $false,
    inference(cvc4,[status(thm)],[20,13,18,16,11,23,8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : SWV557-1.007 : TPTP v8.2.0. Released v4.0.0.
% 0.05/0.12  % Command  : run_Leo-III %s %d
% 0.11/0.33  % Computer : n016.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Sun May 19 09:06:24 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.98/0.97  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.50/1.17  % [INFO] 	 Parsing done (195ms). 
% 1.50/1.18  % [INFO] 	 Running in sequential loop mode. 
% 2.11/1.54  % [INFO] 	 eprover registered as external prover. 
% 2.11/1.55  % [INFO] 	 cvc4 registered as external prover. 
% 2.11/1.55  % [INFO] 	 Scanning for conjecture ... 
% 2.37/1.67  % [INFO] 	 Found a conjecture (or negated_conjecture) and 6 axioms. Running axiom selection ... 
% 2.47/1.70  % [INFO] 	 Axiom selection finished. Selected 6 axioms (removed 0 axioms). 
% 2.75/1.79  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.75/1.81  % [INFO] 	 Type checking passed. 
% 2.75/1.81  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 5.62/2.73  % External prover 'cvc4' found a proof!
% 5.62/2.73  % [INFO] 	 Killing All external provers ... 
% 5.62/2.73  % Time passed: 2246ms (effective reasoning time: 1543ms)
% 5.62/2.73  % Axioms used in derivation (6): a5, a4, hyp0, a3, a1, a2
% 5.62/2.73  % No. of inferences in proof: 15
% 5.62/2.73  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2246 ms resp. 1543 ms w/o parsing
% 5.62/2.82  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.62/2.82  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------