TSTP Solution File: SWV543-1.004 by Leo-III-SAT---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SWV543-1.004 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n024.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 05:52:18 EDT 2024

% Result   : Unsatisfiable 56.94s 8.88s
% Output   : Refutation 57.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   53
% Syntax   : Number of formulae    :  162 ( 120 unt;  28 typ;   0 def)
%            Number of atoms       :  149 ( 148 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  641 (  19   ~;  15   |;   0   &; 607   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   30 (  28 usr;  27 con; 0-3 aty)
%            Number of variables   :   44 (   0   ^  44   !;   0   ?;  44   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_430_type,type,
    a_430: $i ).

thf(a_440_type,type,
    a_440: $i ).

thf(e_425_type,type,
    e_425: $i ).

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

thf(a_422_type,type,
    a_422: $i ).

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

thf(e_421_type,type,
    e_421: $i ).

thf(a_418_type,type,
    a_418: $i ).

thf(i0_type,type,
    i0: $i ).

thf(e_419_type,type,
    e_419: $i ).

thf(e_435_type,type,
    e_435: $i ).

thf(a_432_type,type,
    a_432: $i ).

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

thf(a_420_type,type,
    a_420: $i ).

thf(a_431_type,type,
    a_431: $i ).

thf(e_437_type,type,
    e_437: $i ).

thf(a_436_type,type,
    a_436: $i ).

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

thf(a_438_type,type,
    a_438: $i ).

thf(a_434_type,type,
    a_434: $i ).

thf(a_428_type,type,
    a_428: $i ).

thf(a_426_type,type,
    a_426: $i ).

thf(e_427_type,type,
    e_427: $i ).

thf(a_424_type,type,
    a_424: $i ).

thf(e_433_type,type,
    e_433: $i ).

thf(e_423_type,type,
    e_423: $i ).

thf(e_439_type,type,
    e_439: $i ).

thf(e_429_type,type,
    e_429: $i ).

thf(12,axiom,
    ( a_438
    = ( store @ a_436 @ i0 @ e_437 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp12) ).

thf(53,plain,
    ( a_438
    = ( store @ a_436 @ i0 @ e_437 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(54,plain,
    ( ( store @ a_436 @ i0 @ e_437 )
    = a_438 ),
    inference(lifteq,[status(thm)],[53]) ).

thf(13,axiom,
    ( a_436
    = ( store @ a_434 @ i2 @ e_435 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp11) ).

thf(55,plain,
    ( a_436
    = ( store @ a_434 @ i2 @ e_435 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(56,plain,
    ( ( store @ a_434 @ i2 @ e_435 )
    = a_436 ),
    inference(lifteq,[status(thm)],[55]) ).

thf(25,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( select @ ( store @ A @ B @ C ) @ B )
      = C ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).

thf(79,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( select @ ( store @ A @ B @ C ) @ B )
      = C ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(80,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( select @ ( store @ A @ B @ C ) @ B )
      = C ),
    inference(lifteq,[status(thm)],[79]) ).

thf(1164,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( select @ a_436 @ B )
        = C )
      | ( ( store @ a_434 @ i2 @ e_435 )
       != ( store @ A @ B @ C ) ) ),
    inference(paramod_ordered,[status(thm)],[56,80]) ).

thf(1165,plain,
    ( ( select @ a_436 @ i2 )
    = e_435 ),
    inference(pattern_uni,[status(thm)],[1164:[bind(A,$thf( a_434 )),bind(B,$thf( i2 )),bind(C,$thf( e_435 ))]]) ).

thf(10,axiom,
    ( e_437
    = ( select @ a_436 @ i2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp23) ).

thf(49,plain,
    ( e_437
    = ( select @ a_436 @ i2 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(50,plain,
    ( ( select @ a_436 @ i2 )
    = e_437 ),
    inference(lifteq,[status(thm)],[49]) ).

thf(1276,plain,
    e_437 = e_435,
    inference(rewrite,[status(thm)],[1165,50]) ).

thf(1277,plain,
    ( ( store @ a_436 @ i0 @ e_435 )
    = a_438 ),
    inference(rewrite,[status(thm)],[54,1276]) ).

thf(5,axiom,
    ( e_435
    = ( select @ a_432 @ i3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp22) ).

thf(39,plain,
    ( e_435
    = ( select @ a_432 @ i3 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(40,plain,
    ( ( select @ a_432 @ i3 )
    = e_435 ),
    inference(lifteq,[status(thm)],[39]) ).

thf(7,axiom,
    ( a_431
    = ( store @ a_418 @ i3 @ e_421 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).

thf(43,plain,
    ( a_431
    = ( store @ a_418 @ i3 @ e_421 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(44,plain,
    ( ( store @ a_418 @ i3 @ e_421 )
    = a_431 ),
    inference(lifteq,[status(thm)],[43]) ).

thf(6,axiom,
    ( a_422
    = ( store @ a_420 @ i3 @ e_421 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp3) ).

thf(41,plain,
    ( a_422
    = ( store @ a_420 @ i3 @ e_421 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(42,plain,
    ( ( store @ a_420 @ i3 @ e_421 )
    = a_422 ),
    inference(lifteq,[status(thm)],[41]) ).

thf(1166,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( select @ a_422 @ B )
        = C )
      | ( ( store @ a_420 @ i3 @ e_421 )
       != ( store @ A @ B @ C ) ) ),
    inference(paramod_ordered,[status(thm)],[42,80]) ).

thf(1167,plain,
    ( ( select @ a_422 @ i3 )
    = e_421 ),
    inference(pattern_uni,[status(thm)],[1166:[bind(A,$thf( a_420 )),bind(B,$thf( i3 )),bind(C,$thf( e_421 ))]]) ).

thf(2,axiom,
    ( e_425
    = ( select @ a_422 @ i3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp18) ).

thf(33,plain,
    ( e_425
    = ( select @ a_422 @ i3 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(34,plain,
    ( ( select @ a_422 @ i3 )
    = e_425 ),
    inference(lifteq,[status(thm)],[33]) ).

thf(1279,plain,
    e_421 = e_425,
    inference(rewrite,[status(thm)],[1167,34]) ).

thf(1286,plain,
    ( ( store @ a_418 @ i3 @ e_425 )
    = a_431 ),
    inference(rewrite,[status(thm)],[44,1279]) ).

thf(3,axiom,
    ( e_421
    = ( select @ a_418 @ i0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).

thf(35,plain,
    ( e_421
    = ( select @ a_418 @ i0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(36,plain,
    ( ( select @ a_418 @ i0 )
    = e_421 ),
    inference(lifteq,[status(thm)],[35]) ).

thf(20,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( store @ ( store @ A @ B @ ( select @ A @ C ) ) @ C @ ( select @ A @ B ) )
      = ( store @ ( store @ A @ C @ ( select @ A @ B ) ) @ B @ ( select @ A @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).

thf(69,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( store @ ( store @ A @ B @ ( select @ A @ C ) ) @ C @ ( select @ A @ B ) )
      = ( store @ ( store @ A @ C @ ( select @ A @ B ) ) @ B @ ( select @ A @ C ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(70,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( store @ ( store @ A @ B @ ( select @ A @ C ) ) @ C @ ( select @ A @ B ) )
      = ( store @ ( store @ A @ C @ ( select @ A @ B ) ) @ B @ ( select @ A @ C ) ) ),
    inference(lifteq,[status(thm)],[69]) ).

thf(770,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( store @ ( store @ A @ B @ ( select @ A @ C ) ) @ C @ e_421 )
        = ( store @ ( store @ A @ C @ ( select @ A @ B ) ) @ B @ ( select @ A @ C ) ) )
      | ( ( select @ a_418 @ i0 )
       != ( select @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[36,70]) ).

thf(771,plain,
    ! [A: $i] :
      ( ( store @ ( store @ a_418 @ i0 @ ( select @ a_418 @ A ) ) @ A @ e_421 )
      = ( store @ ( store @ a_418 @ A @ ( select @ a_418 @ i0 ) ) @ i0 @ ( select @ a_418 @ A ) ) ),
    inference(pattern_uni,[status(thm)],[770:[bind(A,$thf( a_418 )),bind(B,$thf( i0 ))]]) ).

thf(962,plain,
    ! [A: $i] :
      ( ( store @ ( store @ a_418 @ i0 @ ( select @ a_418 @ A ) ) @ A @ e_421 )
      = ( store @ ( store @ a_418 @ A @ ( select @ a_418 @ i0 ) ) @ i0 @ ( select @ a_418 @ A ) ) ),
    inference(simp,[status(thm)],[771]) ).

thf(1282,plain,
    ( ( select @ a_418 @ i0 )
    = e_425 ),
    inference(rewrite,[status(thm)],[36,1279]) ).

thf(3230,plain,
    ! [A: $i] :
      ( ( store @ ( store @ a_418 @ i0 @ ( select @ a_418 @ A ) ) @ A @ e_425 )
      = ( store @ ( store @ a_418 @ A @ e_425 ) @ i0 @ ( select @ a_418 @ A ) ) ),
    inference(rewrite,[status(thm)],[962,1282,1279]) ).

thf(3322,plain,
    ! [A: $i] :
      ( ( ( store @ ( store @ a_418 @ i0 @ ( select @ a_418 @ A ) ) @ A @ e_425 )
        = ( store @ a_431 @ i0 @ ( select @ a_418 @ A ) ) )
      | ( ( store @ a_418 @ i3 @ e_425 )
       != ( store @ a_418 @ A @ e_425 ) ) ),
    inference(paramod_ordered,[status(thm)],[1286,3230]) ).

thf(3323,plain,
    ( ( store @ ( store @ a_418 @ i0 @ ( select @ a_418 @ i3 ) ) @ i3 @ e_425 )
    = ( store @ a_431 @ i0 @ ( select @ a_418 @ i3 ) ) ),
    inference(pattern_uni,[status(thm)],[3322:[bind(A,$thf( i3 ))]]) ).

thf(4,axiom,
    ( e_419
    = ( select @ a_418 @ i3 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).

thf(37,plain,
    ( e_419
    = ( select @ a_418 @ i3 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(38,plain,
    ( ( select @ a_418 @ i3 )
    = e_419 ),
    inference(lifteq,[status(thm)],[37]) ).

thf(3669,plain,
    ( ( store @ ( store @ a_418 @ i0 @ e_419 ) @ i3 @ e_425 )
    = ( store @ a_431 @ i0 @ e_419 ) ),
    inference(rewrite,[status(thm)],[3323,38]) ).

thf(3718,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( select @ ( store @ a_431 @ i0 @ e_419 ) @ B )
        = C )
      | ( ( store @ ( store @ a_418 @ i0 @ e_419 ) @ i3 @ e_425 )
       != ( store @ A @ B @ C ) ) ),
    inference(paramod_ordered,[status(thm)],[3669,80]) ).

thf(3719,plain,
    ( ( select @ ( store @ a_431 @ i0 @ e_419 ) @ i3 )
    = e_425 ),
    inference(pattern_uni,[status(thm)],[3718:[bind(A,$thf( store @ a_418 @ i0 @ e_419 )),bind(B,$thf( i3 )),bind(C,$thf( e_425 ))]]) ).

thf(9,axiom,
    ( a_432
    = ( store @ a_431 @ i0 @ e_419 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp9) ).

thf(47,plain,
    ( a_432
    = ( store @ a_431 @ i0 @ e_419 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(48,plain,
    ( ( store @ a_431 @ i0 @ e_419 )
    = a_432 ),
    inference(lifteq,[status(thm)],[47]) ).

thf(3824,plain,
    ( ( select @ a_432 @ i3 )
    = e_425 ),
    inference(rewrite,[status(thm)],[3719,48]) ).

thf(3825,plain,
    e_435 = e_425,
    inference(rewrite,[status(thm)],[40,3824]) ).

thf(3952,plain,
    ( ( store @ a_436 @ i0 @ e_425 )
    = a_438 ),
    inference(rewrite,[status(thm)],[1277,3825]) ).

thf(14,axiom,
    ( a_428
    = ( store @ a_426 @ i2 @ e_427 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).

thf(57,plain,
    ( a_428
    = ( store @ a_426 @ i2 @ e_427 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(58,plain,
    ( ( store @ a_426 @ i2 @ e_427 )
    = a_428 ),
    inference(lifteq,[status(thm)],[57]) ).

thf(15,axiom,
    ( a_426
    = ( store @ a_424 @ i2 @ e_425 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp5) ).

thf(59,plain,
    ( a_426
    = ( store @ a_424 @ i2 @ e_425 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(60,plain,
    ( ( store @ a_424 @ i2 @ e_425 )
    = a_426 ),
    inference(lifteq,[status(thm)],[59]) ).

thf(19,axiom,
    ( a_424
    = ( store @ a_422 @ i3 @ e_423 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).

thf(67,plain,
    ( a_424
    = ( store @ a_422 @ i3 @ e_423 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(68,plain,
    ( ( store @ a_422 @ i3 @ e_423 )
    = a_424 ),
    inference(lifteq,[status(thm)],[67]) ).

thf(23,axiom,
    ( e_433
    = ( select @ a_432 @ i2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp21) ).

thf(75,plain,
    ( e_433
    = ( select @ a_432 @ i2 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(76,plain,
    ( ( select @ a_432 @ i2 )
    = e_433 ),
    inference(lifteq,[status(thm)],[75]) ).

thf(21,axiom,
    ( a_420
    = ( store @ a_418 @ i0 @ e_419 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).

thf(71,plain,
    ( a_420
    = ( store @ a_418 @ i0 @ e_419 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(72,plain,
    ( ( store @ a_418 @ i0 @ e_419 )
    = a_420 ),
    inference(lifteq,[status(thm)],[71]) ).

thf(3725,plain,
    ( ( ( store @ a_431 @ i0 @ e_419 )
      = ( store @ a_420 @ i3 @ e_425 ) )
    | ( ( store @ a_418 @ i0 @ e_419 )
     != ( store @ a_418 @ i0 @ e_419 ) ) ),
    inference(paramod_ordered,[status(thm)],[72,3669]) ).

thf(3726,plain,
    ( ( store @ a_431 @ i0 @ e_419 )
    = ( store @ a_420 @ i3 @ e_425 ) ),
    inference(pattern_uni,[status(thm)],[3725:[]]) ).

thf(1280,plain,
    ( ( store @ a_420 @ i3 @ e_425 )
    = a_422 ),
    inference(rewrite,[status(thm)],[42,1279]) ).

thf(4560,plain,
    a_432 = a_422,
    inference(rewrite,[status(thm)],[3726,48,1280]) ).

thf(4566,plain,
    ( ( select @ a_422 @ i2 )
    = e_433 ),
    inference(rewrite,[status(thm)],[76,4560]) ).

thf(18,axiom,
    ( e_423
    = ( select @ a_422 @ i2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp17) ).

thf(65,plain,
    ( e_423
    = ( select @ a_422 @ i2 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(66,plain,
    ( ( select @ a_422 @ i2 )
    = e_423 ),
    inference(lifteq,[status(thm)],[65]) ).

thf(4568,plain,
    e_423 = e_433,
    inference(rewrite,[status(thm)],[4566,66]) ).

thf(4572,plain,
    ( ( store @ a_422 @ i3 @ e_433 )
    = a_424 ),
    inference(rewrite,[status(thm)],[68,4568]) ).

thf(17,axiom,
    ( a_434
    = ( store @ a_432 @ i3 @ e_433 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp10) ).

thf(63,plain,
    ( a_434
    = ( store @ a_432 @ i3 @ e_433 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(64,plain,
    ( ( store @ a_432 @ i3 @ e_433 )
    = a_434 ),
    inference(lifteq,[status(thm)],[63]) ).

thf(4565,plain,
    ( ( store @ a_422 @ i3 @ e_433 )
    = a_434 ),
    inference(rewrite,[status(thm)],[64,4560]) ).

thf(5119,plain,
    a_424 = a_434,
    inference(rewrite,[status(thm)],[4572,4565]) ).

thf(5120,plain,
    ( ( store @ a_434 @ i2 @ e_425 )
    = a_426 ),
    inference(rewrite,[status(thm)],[60,5119]) ).

thf(3946,plain,
    ( ( store @ a_434 @ i2 @ e_425 )
    = a_436 ),
    inference(rewrite,[status(thm)],[56,3825]) ).

thf(5122,plain,
    a_426 = a_436,
    inference(rewrite,[status(thm)],[5120,3946]) ).

thf(5128,plain,
    ( ( store @ a_436 @ i2 @ e_427 )
    = a_428 ),
    inference(rewrite,[status(thm)],[58,5122]) ).

thf(22,axiom,
    ( e_439
    = ( select @ a_436 @ i0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp24) ).

thf(73,plain,
    ( e_439
    = ( select @ a_436 @ i0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(74,plain,
    ( ( select @ a_436 @ i0 )
    = e_439 ),
    inference(lifteq,[status(thm)],[73]) ).

thf(792,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( store @ ( store @ A @ B @ ( select @ A @ C ) ) @ C @ e_439 )
        = ( store @ ( store @ A @ C @ ( select @ A @ B ) ) @ B @ ( select @ A @ C ) ) )
      | ( ( select @ a_436 @ i0 )
       != ( select @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[74,70]) ).

thf(793,plain,
    ! [A: $i] :
      ( ( store @ ( store @ a_436 @ i0 @ ( select @ a_436 @ A ) ) @ A @ e_439 )
      = ( store @ ( store @ a_436 @ A @ ( select @ a_436 @ i0 ) ) @ i0 @ ( select @ a_436 @ A ) ) ),
    inference(pattern_uni,[status(thm)],[792:[bind(A,$thf( a_436 )),bind(B,$thf( i0 ))]]) ).

thf(970,plain,
    ! [A: $i] :
      ( ( store @ ( store @ a_436 @ i0 @ ( select @ a_436 @ A ) ) @ A @ e_439 )
      = ( store @ ( store @ a_436 @ A @ ( select @ a_436 @ i0 ) ) @ i0 @ ( select @ a_436 @ A ) ) ),
    inference(simp,[status(thm)],[793]) ).

thf(16,axiom,
    ( e_427
    = ( select @ a_426 @ i0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp19) ).

thf(61,plain,
    ( e_427
    = ( select @ a_426 @ i0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(62,plain,
    ( ( select @ a_426 @ i0 )
    = e_427 ),
    inference(lifteq,[status(thm)],[61]) ).

thf(5123,plain,
    ( ( select @ a_436 @ i0 )
    = e_427 ),
    inference(rewrite,[status(thm)],[62,5122]) ).

thf(228,plain,
    ( ( e_439 = e_427 )
    | ( ( select @ a_426 @ i0 )
     != ( select @ a_436 @ i0 ) ) ),
    inference(paramod_ordered,[status(thm)],[74,62]) ).

thf(233,plain,
    ( ( e_439 = e_427 )
    | ( a_426 != a_436 )
    | ( i0 != i0 ) ),
    inference(simp,[status(thm)],[228]) ).

thf(248,plain,
    ( ( e_439 = e_427 )
    | ( a_426 != a_436 ) ),
    inference(simp,[status(thm)],[233]) ).

thf(5125,plain,
    ( ( e_439 = e_427 )
    | ( a_436 != a_436 ) ),
    inference(rewrite,[status(thm)],[248,5122]) ).

thf(5126,plain,
    e_439 = e_427,
    inference(simp,[status(thm)],[5125]) ).

thf(10635,plain,
    ! [A: $i] :
      ( ( store @ ( store @ a_436 @ i0 @ ( select @ a_436 @ A ) ) @ A @ e_427 )
      = ( store @ ( store @ a_436 @ A @ e_427 ) @ i0 @ ( select @ a_436 @ A ) ) ),
    inference(rewrite,[status(thm)],[970,5123,5126]) ).

thf(10878,plain,
    ! [A: $i] :
      ( ( ( store @ ( store @ a_436 @ i0 @ ( select @ a_436 @ A ) ) @ A @ e_427 )
        = ( store @ a_428 @ i0 @ ( select @ a_436 @ A ) ) )
      | ( ( store @ a_436 @ i2 @ e_427 )
       != ( store @ a_436 @ A @ e_427 ) ) ),
    inference(paramod_ordered,[status(thm)],[5128,10635]) ).

thf(10879,plain,
    ( ( store @ ( store @ a_436 @ i0 @ ( select @ a_436 @ i2 ) ) @ i2 @ e_427 )
    = ( store @ a_428 @ i0 @ ( select @ a_436 @ i2 ) ) ),
    inference(pattern_uni,[status(thm)],[10878:[bind(A,$thf( i2 ))]]) ).

thf(1278,plain,
    ( ( select @ a_436 @ i2 )
    = e_435 ),
    inference(rewrite,[status(thm)],[50,1276]) ).

thf(3950,plain,
    ( ( select @ a_436 @ i2 )
    = e_425 ),
    inference(rewrite,[status(thm)],[1278,3825]) ).

thf(11401,plain,
    ( ( store @ ( store @ a_436 @ i0 @ e_425 ) @ i2 @ e_427 )
    = ( store @ a_428 @ i0 @ e_425 ) ),
    inference(rewrite,[status(thm)],[10879,3950]) ).

thf(11403,plain,
    ( ( ( store @ a_428 @ i0 @ e_425 )
      = ( store @ a_438 @ i2 @ e_427 ) )
    | ( ( store @ a_436 @ i0 @ e_425 )
     != ( store @ a_436 @ i0 @ e_425 ) ) ),
    inference(paramod_ordered,[status(thm)],[3952,11401]) ).

thf(11404,plain,
    ( ( store @ a_428 @ i0 @ e_425 )
    = ( store @ a_438 @ i2 @ e_427 ) ),
    inference(pattern_uni,[status(thm)],[11403:[]]) ).

thf(28,axiom,
    ( a_440
    = ( store @ a_438 @ i2 @ e_439 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp13) ).

thf(86,plain,
    ( a_440
    = ( store @ a_438 @ i2 @ e_439 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(87,plain,
    ( ( store @ a_438 @ i2 @ e_439 )
    = a_440 ),
    inference(lifteq,[status(thm)],[86]) ).

thf(5156,plain,
    ( ( store @ a_438 @ i2 @ e_427 )
    = a_440 ),
    inference(rewrite,[status(thm)],[87,5126]) ).

thf(29,axiom,
    ( a_430
    = ( store @ a_428 @ i0 @ e_429 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).

thf(88,plain,
    ( a_430
    = ( store @ a_428 @ i0 @ e_429 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(89,plain,
    ( ( store @ a_428 @ i0 @ e_429 )
    = a_430 ),
    inference(lifteq,[status(thm)],[88]) ).

thf(1192,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( select @ a_426 @ B )
        = C )
      | ( ( store @ a_424 @ i2 @ e_425 )
       != ( store @ A @ B @ C ) ) ),
    inference(paramod_ordered,[status(thm)],[60,80]) ).

thf(1193,plain,
    ( ( select @ a_426 @ i2 )
    = e_425 ),
    inference(pattern_uni,[status(thm)],[1192:[bind(A,$thf( a_424 )),bind(B,$thf( i2 )),bind(C,$thf( e_425 ))]]) ).

thf(27,axiom,
    ( e_429
    = ( select @ a_426 @ i2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp20) ).

thf(84,plain,
    ( e_429
    = ( select @ a_426 @ i2 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(85,plain,
    ( ( select @ a_426 @ i2 )
    = e_429 ),
    inference(lifteq,[status(thm)],[84]) ).

thf(1861,plain,
    e_429 = e_425,
    inference(rewrite,[status(thm)],[1193,85]) ).

thf(1862,plain,
    ( ( store @ a_428 @ i0 @ e_425 )
    = a_430 ),
    inference(rewrite,[status(thm)],[89,1861]) ).

thf(11872,plain,
    a_440 = a_430,
    inference(rewrite,[status(thm)],[11404,5156,1862]) ).

thf(1,negated_conjecture,
    a_430 != a_440,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

thf(30,plain,
    a_430 != a_440,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(31,plain,
    a_430 != a_440,
    inference(polarity_switch,[status(thm)],[30]) ).

thf(32,plain,
    a_440 != a_430,
    inference(lifteq,[status(thm)],[31]) ).

thf(11873,plain,
    $false,
    inference(simplifyReflect,[status(thm)],[11872,32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV543-1.004 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.35  % Computer : n024.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Sun May 19 06:56:24 EDT 2024
% 0.22/0.36  % CPUTime  : 
% 0.95/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.26/0.96  % [INFO] 	 Parsing done (112ms). 
% 1.26/0.97  % [INFO] 	 Running in sequential loop mode. 
% 1.61/1.18  % [INFO] 	 nitpick registered as external prover. 
% 1.69/1.19  % [INFO] 	 Scanning for conjecture ... 
% 1.85/1.24  % [INFO] 	 Found a conjecture (or negated_conjecture) and 28 axioms. Running axiom selection ... 
% 1.85/1.29  % [INFO] 	 Axiom selection finished. Selected 28 axioms (removed 0 axioms). 
% 2.06/1.31  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.06/1.31  % [INFO] 	 Type checking passed. 
% 2.06/1.32  % [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 ... 
% 56.94/8.87  % [INFO] 	 Killing All external provers ... 
% 56.94/8.88  % Time passed: 8356ms (effective reasoning time: 7900ms)
% 56.94/8.88  % Axioms used in derivation (24): hyp2, hyp7, hyp15, hyp16, hyp20, hyp3, hyp23, hyp4, hyp17, hyp11, hyp9, hyp6, hyp18, hyp8, hyp21, hyp10, hyp19, hyp24, hyp13, hyp12, hyp5, a3, hyp22, a1
% 56.94/8.88  % No. of inferences in proof: 134
% 56.94/8.88  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 8356 ms resp. 7900 ms w/o parsing
% 57.04/8.95  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 57.04/8.95  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------