TSTP Solution File: SWV543-1.004 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SWV543-1.004 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n003.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  : 600s
% DateTime : Wed Jul 20 20:13:34 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   62
% Syntax   : Number of formulae    :  141 ( 105 unt;  32 typ;   0 def)
%            Number of atoms       :  280 ( 191 equ;   0 cnn)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives :  420 (   6   ~;   9   |;   0   &; 405   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   35 (  32 usr;  32 con; 0-3 aty)
%            Number of variables   :   72 (   0   ^  72   !;   0   ?;  72   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_a1,type,
    a1: $i ).

thf(tp_a_417,type,
    a_417: $i ).

thf(tp_a_418,type,
    a_418: $i ).

thf(tp_a_420,type,
    a_420: $i ).

thf(tp_a_422,type,
    a_422: $i ).

thf(tp_a_424,type,
    a_424: $i ).

thf(tp_a_426,type,
    a_426: $i ).

thf(tp_a_428,type,
    a_428: $i ).

thf(tp_a_430,type,
    a_430: $i ).

thf(tp_a_431,type,
    a_431: $i ).

thf(tp_a_432,type,
    a_432: $i ).

thf(tp_a_434,type,
    a_434: $i ).

thf(tp_a_436,type,
    a_436: $i ).

thf(tp_a_438,type,
    a_438: $i ).

thf(tp_a_440,type,
    a_440: $i ).

thf(tp_e_416,type,
    e_416: $i ).

thf(tp_e_419,type,
    e_419: $i ).

thf(tp_e_421,type,
    e_421: $i ).

thf(tp_e_423,type,
    e_423: $i ).

thf(tp_e_425,type,
    e_425: $i ).

thf(tp_e_427,type,
    e_427: $i ).

thf(tp_e_429,type,
    e_429: $i ).

thf(tp_e_433,type,
    e_433: $i ).

thf(tp_e_435,type,
    e_435: $i ).

thf(tp_e_437,type,
    e_437: $i ).

thf(tp_e_439,type,
    e_439: $i ).

thf(tp_i0,type,
    i0: $i ).

thf(tp_i1,type,
    i1: $i ).

thf(tp_i2,type,
    i2: $i ).

thf(tp_i3,type,
    i3: $i ).

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

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

thf(1,axiom,
    ! [A: $i,I: $i,J: $i] :
      ( ( store @ ( store @ A @ I @ ( select @ A @ J ) ) @ J @ ( select @ A @ I ) )
      = ( store @ ( store @ A @ J @ ( select @ A @ I ) ) @ I @ ( select @ A @ J ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).

thf(2,axiom,
    ! [I: $i,J: $i,A: $i,E: $i] :
      ( ( I = J )
      | ( ( select @ ( store @ A @ I @ E ) @ J )
        = ( select @ A @ J ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2) ).

thf(3,axiom,
    ! [A: $i,I: $i,E: $i] :
      ( ( select @ ( store @ A @ I @ E ) @ I )
      = E ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).

thf(4,axiom,
    ( e_439
    = ( select @ a_436 @ i0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp24) ).

thf(5,axiom,
    ( e_437
    = ( select @ a_436 @ i2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp23) ).

thf(6,axiom,
    ( e_435
    = ( select @ a_432 @ i3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp22) ).

thf(7,axiom,
    ( e_433
    = ( select @ a_432 @ i2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp21) ).

thf(8,axiom,
    ( e_429
    = ( select @ a_426 @ i2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp20) ).

thf(9,axiom,
    ( e_427
    = ( select @ a_426 @ i0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp19) ).

thf(10,axiom,
    ( e_425
    = ( select @ a_422 @ i3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp18) ).

thf(11,axiom,
    ( e_423
    = ( select @ a_422 @ i2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp17) ).

thf(12,axiom,
    ( e_421
    = ( select @ a_418 @ i0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).

thf(13,axiom,
    ( e_419
    = ( select @ a_418 @ i3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).

thf(14,axiom,
    ( e_416
    = ( select @ a1 @ i1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).

thf(15,axiom,
    ( a_440
    = ( store @ a_438 @ i2 @ e_439 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).

thf(16,axiom,
    ( a_438
    = ( store @ a_436 @ i0 @ e_437 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).

thf(17,axiom,
    ( a_436
    = ( store @ a_434 @ i2 @ e_435 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).

thf(18,axiom,
    ( a_434
    = ( store @ a_432 @ i3 @ e_433 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).

thf(19,axiom,
    ( a_432
    = ( store @ a_431 @ i0 @ e_419 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).

thf(20,axiom,
    ( a_431
    = ( store @ a_418 @ i3 @ e_421 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).

thf(21,axiom,
    ( a_430
    = ( store @ a_428 @ i0 @ e_429 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).

thf(22,axiom,
    ( a_428
    = ( store @ a_426 @ i2 @ e_427 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).

thf(23,axiom,
    ( a_426
    = ( store @ a_424 @ i2 @ e_425 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).

thf(24,axiom,
    ( a_424
    = ( store @ a_422 @ i3 @ e_423 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).

thf(25,axiom,
    ( a_422
    = ( store @ a_420 @ i3 @ e_421 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).

thf(26,axiom,
    ( a_420
    = ( store @ a_418 @ i0 @ e_419 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).

thf(27,axiom,
    ( a_418
    = ( store @ a_417 @ i1 @ e_416 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).

thf(28,axiom,
    ( a_417
    = ( store @ a1 @ i1 @ e_416 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).

thf(29,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(30,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[29]) ).

thf(31,negated_conjecture,
    a_430 != a_440,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

thf(32,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[30]) ).

thf(33,plain,
    ( ( ! [A: $i,I: $i,J: $i] :
          ( ( store @ ( store @ A @ I @ ( select @ A @ J ) ) @ J @ ( select @ A @ I ) )
          = ( store @ ( store @ A @ J @ ( select @ A @ I ) ) @ I @ ( select @ A @ J ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(34,plain,
    ( ( ! [I: $i,J: $i,A: $i,E: $i] :
          ( ( I = J )
          | ( ( select @ ( store @ A @ I @ E ) @ J )
            = ( select @ A @ J ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(35,plain,
    ( ( ! [A: $i,I: $i,E: $i] :
          ( ( select @ ( store @ A @ I @ E ) @ I )
          = E ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(36,plain,
    ( ( e_439
      = ( select @ a_436 @ i0 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(37,plain,
    ( ( e_437
      = ( select @ a_436 @ i2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(38,plain,
    ( ( e_435
      = ( select @ a_432 @ i3 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(39,plain,
    ( ( e_433
      = ( select @ a_432 @ i2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(40,plain,
    ( ( e_429
      = ( select @ a_426 @ i2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(41,plain,
    ( ( e_427
      = ( select @ a_426 @ i0 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(42,plain,
    ( ( e_425
      = ( select @ a_422 @ i3 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(43,plain,
    ( ( e_423
      = ( select @ a_422 @ i2 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(44,plain,
    ( ( e_421
      = ( select @ a_418 @ i0 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(45,plain,
    ( ( e_419
      = ( select @ a_418 @ i3 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(46,plain,
    ( ( e_416
      = ( select @ a1 @ i1 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(47,plain,
    ( ( a_440
      = ( store @ a_438 @ i2 @ e_439 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(48,plain,
    ( ( a_438
      = ( store @ a_436 @ i0 @ e_437 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(49,plain,
    ( ( a_436
      = ( store @ a_434 @ i2 @ e_435 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(50,plain,
    ( ( a_434
      = ( store @ a_432 @ i3 @ e_433 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(51,plain,
    ( ( a_432
      = ( store @ a_431 @ i0 @ e_419 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(52,plain,
    ( ( a_431
      = ( store @ a_418 @ i3 @ e_421 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(53,plain,
    ( ( a_430
      = ( store @ a_428 @ i0 @ e_429 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(54,plain,
    ( ( a_428
      = ( store @ a_426 @ i2 @ e_427 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(55,plain,
    ( ( a_426
      = ( store @ a_424 @ i2 @ e_425 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(56,plain,
    ( ( a_424
      = ( store @ a_422 @ i3 @ e_423 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(57,plain,
    ( ( a_422
      = ( store @ a_420 @ i3 @ e_421 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(58,plain,
    ( ( a_420
      = ( store @ a_418 @ i0 @ e_419 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(59,plain,
    ( ( a_418
      = ( store @ a_417 @ i1 @ e_416 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[27]) ).

thf(60,plain,
    ( ( a_417
      = ( store @ a1 @ i1 @ e_416 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(61,plain,
    ( ( ( a_430 != a_440 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(62,plain,
    ( ( ~ $false )
    = $true ),
    inference(polarity_switch,[status(thm)],[32]) ).

thf(63,plain,
    ( ( ! [I: $i,J: $i] :
          ( ( I = J )
          | ! [A: $i,E: $i] :
              ( ( select @ ( store @ A @ I @ E ) @ J )
              = ( select @ A @ J ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[34]) ).

thf(64,plain,
    ( ( ( a_430 != a_440 ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[61]) ).

thf(65,plain,
    ( ( ( a_430 != a_440 ) )
    = $true ),
    inference(copy,[status(thm)],[64]) ).

thf(66,plain,
    ( ( a_417
      = ( store @ a1 @ i1 @ e_416 ) )
    = $true ),
    inference(copy,[status(thm)],[60]) ).

thf(67,plain,
    ( ( a_418
      = ( store @ a_417 @ i1 @ e_416 ) )
    = $true ),
    inference(copy,[status(thm)],[59]) ).

thf(68,plain,
    ( ( a_420
      = ( store @ a_418 @ i0 @ e_419 ) )
    = $true ),
    inference(copy,[status(thm)],[58]) ).

thf(69,plain,
    ( ( a_422
      = ( store @ a_420 @ i3 @ e_421 ) )
    = $true ),
    inference(copy,[status(thm)],[57]) ).

thf(70,plain,
    ( ( a_424
      = ( store @ a_422 @ i3 @ e_423 ) )
    = $true ),
    inference(copy,[status(thm)],[56]) ).

thf(71,plain,
    ( ( a_426
      = ( store @ a_424 @ i2 @ e_425 ) )
    = $true ),
    inference(copy,[status(thm)],[55]) ).

thf(72,plain,
    ( ( a_428
      = ( store @ a_426 @ i2 @ e_427 ) )
    = $true ),
    inference(copy,[status(thm)],[54]) ).

thf(73,plain,
    ( ( a_430
      = ( store @ a_428 @ i0 @ e_429 ) )
    = $true ),
    inference(copy,[status(thm)],[53]) ).

thf(74,plain,
    ( ( a_431
      = ( store @ a_418 @ i3 @ e_421 ) )
    = $true ),
    inference(copy,[status(thm)],[52]) ).

thf(75,plain,
    ( ( a_432
      = ( store @ a_431 @ i0 @ e_419 ) )
    = $true ),
    inference(copy,[status(thm)],[51]) ).

thf(76,plain,
    ( ( a_434
      = ( store @ a_432 @ i3 @ e_433 ) )
    = $true ),
    inference(copy,[status(thm)],[50]) ).

thf(77,plain,
    ( ( a_436
      = ( store @ a_434 @ i2 @ e_435 ) )
    = $true ),
    inference(copy,[status(thm)],[49]) ).

thf(78,plain,
    ( ( a_438
      = ( store @ a_436 @ i0 @ e_437 ) )
    = $true ),
    inference(copy,[status(thm)],[48]) ).

thf(79,plain,
    ( ( a_440
      = ( store @ a_438 @ i2 @ e_439 ) )
    = $true ),
    inference(copy,[status(thm)],[47]) ).

thf(80,plain,
    ( ( e_416
      = ( select @ a1 @ i1 ) )
    = $true ),
    inference(copy,[status(thm)],[46]) ).

thf(81,plain,
    ( ( e_419
      = ( select @ a_418 @ i3 ) )
    = $true ),
    inference(copy,[status(thm)],[45]) ).

thf(82,plain,
    ( ( e_421
      = ( select @ a_418 @ i0 ) )
    = $true ),
    inference(copy,[status(thm)],[44]) ).

thf(83,plain,
    ( ( e_423
      = ( select @ a_422 @ i2 ) )
    = $true ),
    inference(copy,[status(thm)],[43]) ).

thf(84,plain,
    ( ( e_425
      = ( select @ a_422 @ i3 ) )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(85,plain,
    ( ( e_427
      = ( select @ a_426 @ i0 ) )
    = $true ),
    inference(copy,[status(thm)],[41]) ).

thf(86,plain,
    ( ( e_429
      = ( select @ a_426 @ i2 ) )
    = $true ),
    inference(copy,[status(thm)],[40]) ).

thf(87,plain,
    ( ( e_433
      = ( select @ a_432 @ i2 ) )
    = $true ),
    inference(copy,[status(thm)],[39]) ).

thf(88,plain,
    ( ( e_435
      = ( select @ a_432 @ i3 ) )
    = $true ),
    inference(copy,[status(thm)],[38]) ).

thf(89,plain,
    ( ( e_437
      = ( select @ a_436 @ i2 ) )
    = $true ),
    inference(copy,[status(thm)],[37]) ).

thf(90,plain,
    ( ( e_439
      = ( select @ a_436 @ i0 ) )
    = $true ),
    inference(copy,[status(thm)],[36]) ).

thf(91,plain,
    ( ( ! [A: $i,I: $i,E: $i] :
          ( ( select @ ( store @ A @ I @ E ) @ I )
          = E ) )
    = $true ),
    inference(copy,[status(thm)],[35]) ).

thf(92,plain,
    ( ( ! [I: $i,J: $i] :
          ( ( I = J )
          | ! [A: $i,E: $i] :
              ( ( select @ ( store @ A @ I @ E ) @ J )
              = ( select @ A @ J ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[63]) ).

thf(93,plain,
    ( ( ! [A: $i,I: $i,J: $i] :
          ( ( store @ ( store @ A @ I @ ( select @ A @ J ) ) @ J @ ( select @ A @ I ) )
          = ( store @ ( store @ A @ J @ ( select @ A @ I ) ) @ I @ ( select @ A @ J ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[33]) ).

thf(94,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[62]) ).

thf(95,plain,
    ( ( a_430 = a_440 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[65]) ).

thf(96,plain,
    ! [SV1: $i] :
      ( ( ! [SY10: $i,SY11: $i] :
            ( ( select @ ( store @ SV1 @ SY10 @ SY11 ) @ SY10 )
            = SY11 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[91]) ).

thf(97,plain,
    ! [SV2: $i] :
      ( ( ! [SY12: $i] :
            ( ( SV2 = SY12 )
            | ! [SY13: $i,SY14: $i] :
                ( ( select @ ( store @ SY13 @ SV2 @ SY14 ) @ SY12 )
                = ( select @ SY13 @ SY12 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[92]) ).

thf(98,plain,
    ! [SV3: $i] :
      ( ( ! [SY15: $i,SY16: $i] :
            ( ( store @ ( store @ SV3 @ SY15 @ ( select @ SV3 @ SY16 ) ) @ SY16 @ ( select @ SV3 @ SY15 ) )
            = ( store @ ( store @ SV3 @ SY16 @ ( select @ SV3 @ SY15 ) ) @ SY15 @ ( select @ SV3 @ SY16 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[93]) ).

thf(99,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[94]) ).

thf(100,plain,
    ! [SV4: $i,SV1: $i] :
      ( ( ! [SY17: $i] :
            ( ( select @ ( store @ SV1 @ SV4 @ SY17 ) @ SV4 )
            = SY17 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[96]) ).

thf(101,plain,
    ! [SV5: $i,SV2: $i] :
      ( ( ( SV2 = SV5 )
        | ! [SY18: $i,SY19: $i] :
            ( ( select @ ( store @ SY18 @ SV2 @ SY19 ) @ SV5 )
            = ( select @ SY18 @ SV5 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[97]) ).

thf(102,plain,
    ! [SV6: $i,SV3: $i] :
      ( ( ! [SY20: $i] :
            ( ( store @ ( store @ SV3 @ SV6 @ ( select @ SV3 @ SY20 ) ) @ SY20 @ ( select @ SV3 @ SV6 ) )
            = ( store @ ( store @ SV3 @ SY20 @ ( select @ SV3 @ SV6 ) ) @ SV6 @ ( select @ SV3 @ SY20 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[98]) ).

thf(103,plain,
    ! [SV7: $i,SV4: $i,SV1: $i] :
      ( ( ( select @ ( store @ SV1 @ SV4 @ SV7 ) @ SV4 )
        = SV7 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[100]) ).

thf(104,plain,
    ! [SV5: $i,SV2: $i] :
      ( ( ( SV2 = SV5 )
        = $true )
      | ( ( ! [SY18: $i,SY19: $i] :
              ( ( select @ ( store @ SY18 @ SV2 @ SY19 ) @ SV5 )
              = ( select @ SY18 @ SV5 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[101]) ).

thf(105,plain,
    ! [SV8: $i,SV6: $i,SV3: $i] :
      ( ( ( store @ ( store @ SV3 @ SV6 @ ( select @ SV3 @ SV8 ) ) @ SV8 @ ( select @ SV3 @ SV6 ) )
        = ( store @ ( store @ SV3 @ SV8 @ ( select @ SV3 @ SV6 ) ) @ SV6 @ ( select @ SV3 @ SV8 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[102]) ).

thf(106,plain,
    ! [SV5: $i,SV2: $i,SV9: $i] :
      ( ( ( ! [SY21: $i] :
              ( ( select @ ( store @ SV9 @ SV2 @ SY21 ) @ SV5 )
              = ( select @ SV9 @ SV5 ) ) )
        = $true )
      | ( ( SV2 = SV5 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[104]) ).

thf(107,plain,
    ! [SV5: $i,SV10: $i,SV2: $i,SV9: $i] :
      ( ( ( ( select @ ( store @ SV9 @ SV2 @ SV10 ) @ SV5 )
          = ( select @ SV9 @ SV5 ) )
        = $true )
      | ( ( SV2 = SV5 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[106]) ).

thf(108,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[66,107,105,103,99,95,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67]) ).

thf(109,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[108]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWV543-1.004 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jun 14 23:22:40 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  
% 0.13/0.36   No.of.Axioms: 29
% 0.13/0.36  
% 0.13/0.36   Length.of.Defs: 0
% 0.13/0.36  
% 0.13/0.36   Contains.Choice.Funs: false
% 0.20/0.37  (rf:0,axioms:29,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:31,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.20/0.54  
% 0.20/0.54  ********************************
% 0.20/0.54  *   All subproblems solved!    *
% 0.20/0.54  ********************************
% 0.20/0.54  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:29,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:108,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.54  
% 0.20/0.54  %**** Beginning of derivation protocol ****
% 0.20/0.54  % SZS output start CNFRefutation
% See solution above
% 0.20/0.54  
% 0.20/0.54  %**** End of derivation protocol ****
% 0.20/0.54  %**** no. of clauses in derivation: 109 ****
% 0.20/0.54  %**** clause counter: 108 ****
% 0.20/0.54  
% 0.20/0.54  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:29,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:108,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------