TSTP Solution File: SYN422+1 by Paradox---4.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Paradox---4.0
% Problem  : SYN422+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:short
% Command  : paradox --no-progress --time %d --tstp --model %s

% Computer : n025.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 : Thu Jul 21 09:47:13 EDT 2022

% Result   : CounterSatisfiable 0.40s 0.59s
% Output   : FiniteModel 0.40s
% Verified : 
% SZS Type : FiniteModel
%            Domain size           :    2

% Comments : 
%------------------------------------------------------------------------------
% domain size is 2
fof(domain,fi_domain,
    ! [X] :
      ( X = "1"
      | X = "2" ) ).

fof(a608,fi_functors,
    a608 = "1" ).

fof(a609,fi_functors,
    a609 = "1" ).

fof(a610,fi_functors,
    a610 = "1" ).

fof(a611,fi_functors,
    a611 = "1" ).

fof(a612,fi_functors,
    a612 = "1" ).

fof(a613,fi_functors,
    a613 = "1" ).

fof(a614,fi_functors,
    a614 = "1" ).

fof(a615,fi_functors,
    a615 = "2" ).

fof(a616,fi_functors,
    a616 = "2" ).

fof(a617,fi_functors,
    a617 = "1" ).

fof(a618,fi_functors,
    a618 = "2" ).

fof(a619,fi_functors,
    a619 = "1" ).

fof(a620,fi_functors,
    a620 = "1" ).

fof(a621,fi_functors,
    a621 = "1" ).

fof(a622,fi_functors,
    a622 = "1" ).

fof(a623,fi_functors,
    a623 = "1" ).

fof(a624,fi_functors,
    a624 = "1" ).

fof(a625,fi_functors,
    a625 = "1" ).

fof(a626,fi_functors,
    a626 = "1" ).

fof(a627,fi_functors,
    a627 = "1" ).

fof(a628,fi_functors,
    a628 = "1" ).

fof(a629,fi_functors,
    a629 = "1" ).

fof(a630,fi_functors,
    a630 = "1" ).

fof(a631,fi_functors,
    a631 = "1" ).

fof(a632,fi_functors,
    a632 = "1" ).

fof(a633,fi_functors,
    a633 = "1" ).

fof(a634,fi_functors,
    a634 = "1" ).

fof(a635,fi_functors,
    a635 = "1" ).

fof(a636,fi_functors,
    a636 = "1" ).

fof(a637,fi_functors,
    a637 = "1" ).

fof(a638,fi_functors,
    a638 = "1" ).

fof(a639,fi_functors,
    a639 = "1" ).

fof(a640,fi_functors,
    a640 = "1" ).

fof(a641,fi_functors,
    a641 = "1" ).

fof(a642,fi_functors,
    a642 = "1" ).

fof(a643,fi_functors,
    a643 = "1" ).

fof(a644,fi_functors,
    a644 = "1" ).

fof(a645,fi_functors,
    a645 = "1" ).

fof(a646,fi_functors,
    a646 = "1" ).

fof(a647,fi_functors,
    a647 = "1" ).

fof(a648,fi_functors,
    a648 = "1" ).

fof(a649,fi_functors,
    a649 = "1" ).

fof(a650,fi_functors,
    a650 = "1" ).

fof(a651,fi_functors,
    a651 = "1" ).

fof(a652,fi_functors,
    a652 = "1" ).

fof(a653,fi_functors,
    a653 = "1" ).

fof(a654,fi_functors,
    a654 = "1" ).

fof(a655,fi_functors,
    a655 = "1" ).

fof(a656,fi_functors,
    a656 = "1" ).

fof(a657,fi_functors,
    a657 = "1" ).

fof(a658,fi_functors,
    a658 = "1" ).

fof(a659,fi_functors,
    a659 = "1" ).

fof(a660,fi_functors,
    a660 = "1" ).

fof(a661,fi_functors,
    a661 = "1" ).

fof(a662,fi_functors,
    a662 = "1" ).

fof(a663,fi_functors,
    a663 = "1" ).

fof(a664,fi_functors,
    a664 = "1" ).

fof(a665,fi_functors,
    a665 = "2" ).

fof(a666,fi_functors,
    a666 = "1" ).

fof(a667,fi_functors,
    a667 = "1" ).

fof(a668,fi_functors,
    a668 = "1" ).

fof(a669,fi_functors,
    a669 = "1" ).

fof(a670,fi_functors,
    a670 = "1" ).

fof(a671,fi_functors,
    a671 = "1" ).

fof(a672,fi_functors,
    a672 = "1" ).

fof(a673,fi_functors,
    a673 = "1" ).

fof(a674,fi_functors,
    a674 = "1" ).

fof(a675,fi_functors,
    a675 = "1" ).

fof(a676,fi_functors,
    a676 = "1" ).

fof(a677,fi_functors,
    a677 = "1" ).

fof(a678,fi_functors,
    a678 = "1" ).

fof(a679,fi_functors,
    a679 = "1" ).

fof(a680,fi_functors,
    a680 = "1" ).

fof(a681,fi_functors,
    a681 = "1" ).

fof(a682,fi_functors,
    a682 = "1" ).

fof(a683,fi_functors,
    a683 = "1" ).

fof(a684,fi_functors,
    a684 = "1" ).

fof(a685,fi_functors,
    a685 = "1" ).

fof(a686,fi_functors,
    a686 = "1" ).

fof(a687,fi_functors,
    a687 = "1" ).

fof(a688,fi_functors,
    a688 = "1" ).

fof(a689,fi_functors,
    a689 = "1" ).

fof(a690,fi_functors,
    a690 = "1" ).

fof(a691,fi_functors,
    a691 = "1" ).

fof(a692,fi_functors,
    a692 = "1" ).

fof(a693,fi_functors,
    a693 = "1" ).

fof(a694,fi_functors,
    a694 = "1" ).

fof(a695,fi_functors,
    a695 = "1" ).

fof(a696,fi_functors,
    a696 = "1" ).

fof(a697,fi_functors,
    a697 = "1" ).

fof(a698,fi_functors,
    a698 = "1" ).

fof(a699,fi_functors,
    a699 = "1" ).

fof(a700,fi_functors,
    a700 = "1" ).

fof(a701,fi_functors,
    a701 = "1" ).

fof(a702,fi_functors,
    a702 = "1" ).

fof(a703,fi_functors,
    a703 = "1" ).

fof(a704,fi_functors,
    a704 = "1" ).

fof(a705,fi_functors,
    a705 = "1" ).

fof(a706,fi_functors,
    a706 = "1" ).

fof(a707,fi_functors,
    a707 = "1" ).

fof(a708,fi_functors,
    a708 = "1" ).

fof(a709,fi_functors,
    a709 = "1" ).

fof(a710,fi_functors,
    a710 = "1" ).

fof(a711,fi_functors,
    a711 = "1" ).

fof(a712,fi_functors,
    a712 = "1" ).

fof(a713,fi_functors,
    a713 = "1" ).

fof(a714,fi_functors,
    a714 = "1" ).

fof(a715,fi_functors,
    a715 = "1" ).

fof(a716,fi_functors,
    a716 = "1" ).

fof(a717,fi_functors,
    a717 = "1" ).

fof(a718,fi_functors,
    a718 = "1" ).

fof(a719,fi_functors,
    a719 = "1" ).

fof(a720,fi_functors,
    a720 = "1" ).

fof(a721,fi_functors,
    a721 = "1" ).

fof(a722,fi_functors,
    a722 = "1" ).

fof(a723,fi_functors,
    a723 = "1" ).

fof(a724,fi_functors,
    a724 = "1" ).

fof(a725,fi_functors,
    a725 = "1" ).

fof(a726,fi_functors,
    a726 = "1" ).

fof(a727,fi_functors,
    a727 = "1" ).

fof(a728,fi_functors,
    a728 = "1" ).

fof(a729,fi_functors,
    a729 = "1" ).

fof(a730,fi_functors,
    a730 = "1" ).

fof(a731,fi_functors,
    a731 = "1" ).

fof(a732,fi_functors,
    a732 = "1" ).

fof(a733,fi_functors,
    a733 = "1" ).

fof(a734,fi_functors,
    a734 = "1" ).

fof(a735,fi_functors,
    a735 = "1" ).

fof(a736,fi_functors,
    a736 = "1" ).

fof(a737,fi_functors,
    a737 = "1" ).

fof(a738,fi_functors,
    a738 = "1" ).

fof(a739,fi_functors,
    a739 = "1" ).

fof(a740,fi_functors,
    a740 = "1" ).

fof(a741,fi_functors,
    a741 = "1" ).

fof(a742,fi_functors,
    a742 = "1" ).

fof(a743,fi_functors,
    a743 = "1" ).

fof(a744,fi_functors,
    a744 = "1" ).

fof(a745,fi_functors,
    a745 = "1" ).

fof(a746,fi_functors,
    a746 = "1" ).

fof(a747,fi_functors,
    a747 = "1" ).

fof(a748,fi_functors,
    a748 = "1" ).

fof(a749,fi_functors,
    a749 = "1" ).

fof(a750,fi_functors,
    a750 = "1" ).

fof(a751,fi_functors,
    a751 = "1" ).

fof(a752,fi_functors,
    a752 = "1" ).

fof(a753,fi_functors,
    a753 = "1" ).

fof(a754,fi_functors,
    a754 = "1" ).

fof(a755,fi_functors,
    a755 = "1" ).

fof(a756,fi_functors,
    a756 = "1" ).

fof(a757,fi_functors,
    a757 = "2" ).

fof(a758,fi_functors,
    a758 = "1" ).

fof(a759,fi_functors,
    a759 = "1" ).

fof(a760,fi_functors,
    a760 = "1" ).

fof(c10_0,fi_predicates,
    ( c10_0
  <=> $true ) ).

fof(c10_1,fi_predicates,
    ( ( c10_1("1")
    <=> $false )
    & ( c10_1("2")
    <=> $true ) ) ).

fof(c10_2,fi_predicates,
    ( ( c10_2("1","1")
    <=> $false )
    & ( c10_2("1","2")
    <=> $true )
    & ( c10_2("2","1")
    <=> $false )
    & ( c10_2("2","2")
    <=> $false ) ) ).

fof(c1_0,fi_predicates,
    ( c1_0
  <=> $false ) ).

fof(c1_1,fi_predicates,
    ( ( c1_1("1")
    <=> $false )
    & ( c1_1("2")
    <=> $false ) ) ).

fof(c1_2,fi_predicates,
    ( ( c1_2("1","1")
    <=> $false )
    & ( c1_2("1","2")
    <=> $false )
    & ( c1_2("2","1")
    <=> $false )
    & ( c1_2("2","2")
    <=> $false ) ) ).

fof(c2_0,fi_predicates,
    ( c2_0
  <=> $true ) ).

fof(c2_1,fi_predicates,
    ( ( c2_1("1")
    <=> $true )
    & ( c2_1("2")
    <=> $false ) ) ).

fof(c2_2,fi_predicates,
    ( ( c2_2("1","1")
    <=> $true )
    & ( c2_2("1","2")
    <=> $false )
    & ( c2_2("2","1")
    <=> $false )
    & ( c2_2("2","2")
    <=> $false ) ) ).

fof(c3_0,fi_predicates,
    ( c3_0
  <=> $true ) ).

fof(c3_1,fi_predicates,
    ( ( c3_1("1")
    <=> $true )
    & ( c3_1("2")
    <=> $true ) ) ).

fof(c3_2,fi_predicates,
    ( ( c3_2("1","1")
    <=> $true )
    & ( c3_2("1","2")
    <=> $true )
    & ( c3_2("2","1")
    <=> $false )
    & ( c3_2("2","2")
    <=> $false ) ) ).

fof(c4_0,fi_predicates,
    ( c4_0
  <=> $false ) ).

fof(c4_1,fi_predicates,
    ( ( c4_1("1")
    <=> $false )
    & ( c4_1("2")
    <=> $true ) ) ).

fof(c4_2,fi_predicates,
    ( ( c4_2("1","1")
    <=> $true )
    & ( c4_2("1","2")
    <=> $false )
    & ( c4_2("2","1")
    <=> $false )
    & ( c4_2("2","2")
    <=> $false ) ) ).

fof(c5_0,fi_predicates,
    ( c5_0
  <=> $true ) ).

fof(c5_1,fi_predicates,
    ( ( c5_1("1")
    <=> $false )
    & ( c5_1("2")
    <=> $true ) ) ).

fof(c5_2,fi_predicates,
    ( ( c5_2("1","1")
    <=> $true )
    & ( c5_2("1","2")
    <=> $false )
    & ( c5_2("2","1")
    <=> $false )
    & ( c5_2("2","2")
    <=> $false ) ) ).

fof(c6_0,fi_predicates,
    ( c6_0
  <=> $false ) ).

fof(c6_1,fi_predicates,
    ( ( c6_1("1")
    <=> $true )
    & ( c6_1("2")
    <=> $false ) ) ).

fof(c6_2,fi_predicates,
    ( ( c6_2("1","1")
    <=> $false )
    & ( c6_2("1","2")
    <=> $true )
    & ( c6_2("2","1")
    <=> $false )
    & ( c6_2("2","2")
    <=> $false ) ) ).

fof(c7_0,fi_predicates,
    ( c7_0
  <=> $false ) ).

fof(c7_1,fi_predicates,
    ( ( c7_1("1")
    <=> $true )
    & ( c7_1("2")
    <=> $false ) ) ).

fof(c7_2,fi_predicates,
    ( ( c7_2("1","1")
    <=> $false )
    & ( c7_2("1","2")
    <=> $true )
    & ( c7_2("2","1")
    <=> $false )
    & ( c7_2("2","2")
    <=> $false ) ) ).

fof(c8_0,fi_predicates,
    ( c8_0
  <=> $false ) ).

fof(c8_1,fi_predicates,
    ( ( c8_1("1")
    <=> $true )
    & ( c8_1("2")
    <=> $false ) ) ).

fof(c8_2,fi_predicates,
    ( ( c8_2("1","1")
    <=> $true )
    & ( c8_2("1","2")
    <=> $false )
    & ( c8_2("2","1")
    <=> $false )
    & ( c8_2("2","2")
    <=> $false ) ) ).

fof(c9_0,fi_predicates,
    ( c9_0
  <=> $false ) ).

fof(c9_1,fi_predicates,
    ( ( c9_1("1")
    <=> $false )
    & ( c9_1("2")
    <=> $false ) ) ).

fof(c9_2,fi_predicates,
    ( ( c9_2("1","1")
    <=> $true )
    & ( c9_2("1","2")
    <=> $true )
    & ( c9_2("2","1")
    <=> $false )
    & ( c9_2("2","2")
    <=> $false ) ) ).

fof(ndr1_0,fi_predicates,
    ( ndr1_0
  <=> $true ) ).

fof(ndr1_1,fi_predicates,
    ( ( ndr1_1("1")
    <=> $true )
    & ( ndr1_1("2")
    <=> $false ) ) ).

fof(sP0_co1_or,fi_predicates,
    ( sP0_co1_or
  <=> $true ) ).

fof(sP10_co1_or,fi_predicates,
    ( sP10_co1_or
  <=> $false ) ).

fof(sP11_co1_or,fi_predicates,
    ( sP11_co1_or
  <=> $false ) ).

fof(sP12_co1_or,fi_predicates,
    ( sP12_co1_or
  <=> $false ) ).

fof(sP13_co1_or,fi_predicates,
    ( sP13_co1_or
  <=> $false ) ).

fof(sP14_co1_or,fi_predicates,
    ( sP14_co1_or
  <=> $false ) ).

fof(sP15_co1_or,fi_predicates,
    ( sP15_co1_or
  <=> $false ) ).

fof(sP16_co1_or,fi_predicates,
    ( sP16_co1_or
  <=> $false ) ).

fof(sP17_co1_or,fi_predicates,
    ( sP17_co1_or
  <=> $false ) ).

fof(sP18_co1_or,fi_predicates,
    ( sP18_co1_or
  <=> $false ) ).

fof(sP19_co1_or,fi_predicates,
    ( sP19_co1_or
  <=> $true ) ).

fof(sP1_co1_or,fi_predicates,
    ( sP1_co1_or
  <=> $false ) ).

fof(sP20_co1_or,fi_predicates,
    ( ( sP20_co1_or("1")
    <=> $false )
    & ( sP20_co1_or("2")
    <=> $false ) ) ).

fof(sP21_co1_or,fi_predicates,
    ( sP21_co1_or
  <=> $true ) ).

fof(sP22_co1_or,fi_predicates,
    ( sP22_co1_or
  <=> $false ) ).

fof(sP23_co1_or,fi_predicates,
    ( sP23_co1_or
  <=> $false ) ).

fof(sP24_co1_or,fi_predicates,
    ( sP24_co1_or
  <=> $true ) ).

fof(sP25_co1_or,fi_predicates,
    ( ( sP25_co1_or("1")
    <=> $false )
    & ( sP25_co1_or("2")
    <=> $false ) ) ).

fof(sP26_co1_or,fi_predicates,
    ( sP26_co1_or
  <=> $true ) ).

fof(sP27_co1_or,fi_predicates,
    ( sP27_co1_or
  <=> $false ) ).

fof(sP28_co1_or,fi_predicates,
    ( sP28_co1_or
  <=> $true ) ).

fof(sP29_co1_or,fi_predicates,
    ( sP29_co1_or
  <=> $false ) ).

fof(sP2_co1_or,fi_predicates,
    ( sP2_co1_or
  <=> $false ) ).

fof(sP30_co1_or,fi_predicates,
    ( sP30_co1_or
  <=> $true ) ).

fof(sP31_co1_or,fi_predicates,
    ( sP31_co1_or
  <=> $false ) ).

fof(sP32_co1_or,fi_predicates,
    ( sP32_co1_or
  <=> $false ) ).

fof(sP33_co1_or,fi_predicates,
    ( ( sP33_co1_or("1")
    <=> $false )
    & ( sP33_co1_or("2")
    <=> $false ) ) ).

fof(sP34_co1_or,fi_predicates,
    ( sP34_co1_or
  <=> $false ) ).

fof(sP35_co1_or,fi_predicates,
    ( sP35_co1_or
  <=> $false ) ).

fof(sP36_co1_or,fi_predicates,
    ( sP36_co1_or
  <=> $false ) ).

fof(sP37_co1_or,fi_predicates,
    ( ( sP37_co1_or("1")
    <=> $false )
    & ( sP37_co1_or("2")
    <=> $false ) ) ).

fof(sP38_co1_or,fi_predicates,
    ( sP38_co1_or
  <=> $false ) ).

fof(sP39_co1_or,fi_predicates,
    ( sP39_co1_or
  <=> $true ) ).

fof(sP3_co1_or,fi_predicates,
    ( sP3_co1_or
  <=> $false ) ).

fof(sP40_co1_or,fi_predicates,
    ( ( sP40_co1_or("1")
    <=> $false )
    & ( sP40_co1_or("2")
    <=> $false ) ) ).

fof(sP41_co1_or,fi_predicates,
    ( sP41_co1_or
  <=> $false ) ).

fof(sP42_co1_or,fi_predicates,
    ( ( sP42_co1_or("1")
    <=> $false )
    & ( sP42_co1_or("2")
    <=> $false ) ) ).

fof(sP43_co1_or,fi_predicates,
    ( sP43_co1_or
  <=> $false ) ).

fof(sP44_co1_or,fi_predicates,
    ( ( sP44_co1_or("1")
    <=> $true )
    & ( sP44_co1_or("2")
    <=> $false ) ) ).

fof(sP45_co1_or,fi_predicates,
    ( ( sP45_co1_or("1")
    <=> $false )
    & ( sP45_co1_or("2")
    <=> $false ) ) ).

fof(sP46_co1_or,fi_predicates,
    ( ( sP46_co1_or("1")
    <=> $false )
    & ( sP46_co1_or("2")
    <=> $false ) ) ).

fof(sP47_co1_or,fi_predicates,
    ( sP47_co1_or
  <=> $false ) ).

fof(sP4_co1_or,fi_predicates,
    ( ( sP4_co1_or("1")
    <=> $false )
    & ( sP4_co1_or("2")
    <=> $false ) ) ).

fof(sP5_co1_or,fi_predicates,
    ( ( sP5_co1_or("1")
    <=> $false )
    & ( sP5_co1_or("2")
    <=> $false ) ) ).

fof(sP6_co1_or,fi_predicates,
    ( sP6_co1_or
  <=> $false ) ).

fof(sP7_co1_or,fi_predicates,
    ( sP7_co1_or
  <=> $true ) ).

fof(sP8_co1_or,fi_predicates,
    ( sP8_co1_or
  <=> $false ) ).

fof(sP9_co1_or,fi_predicates,
    ( ( sP9_co1_or("1")
    <=> $false )
    & ( sP9_co1_or("2")
    <=> $false ) ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN422+1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.13  % Command  : paradox --no-progress --time %d --tstp --model %s
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 14:35:32 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  Paradox, version 4.0, 2010-06-29.
% 0.12/0.34  +++ PROBLEM: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  Reading '/export/starexec/sandbox2/benchmark/theBenchmark.p' ... OK
% 0.19/0.46  +++ SOLVING: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.59  +++ BEGIN MODEL
% 0.40/0.59  SZS output start FiniteModel for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.40/0.59  +++ END MODEL
% 0.40/0.59  +++ RESULT: CounterSatisfiable
% 0.40/0.59  SZS status CounterSatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------