TSTP Solution File: SYN513-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN513-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 : Fri Sep  1 03:08:06 EDT 2023

% Result   : Satisfiable 0.77s 1.19s
% Output   : Model 0.77s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
%------ Positive definition of ndr1_0 
fof(lit_def,axiom,
    ( ndr1_0
  <=> $true ) ).

%------ Positive definition of c3_0 
fof(lit_def_001,axiom,
    ( c3_0
  <=> $true ) ).

%------ Positive definition of c1_0 
fof(lit_def_002,axiom,
    ( c1_0
  <=> $false ) ).

%------ Positive definition of c2_0 
fof(lit_def_003,axiom,
    ( c2_0
  <=> $false ) ).

%------ Positive definition of ssSkC9 
fof(lit_def_004,axiom,
    ( ssSkC9
  <=> $true ) ).

%------ Positive definition of c4_0 
fof(lit_def_005,axiom,
    ( c4_0
  <=> $false ) ).

%------ Positive definition of c5_0 
fof(lit_def_006,axiom,
    ( c5_0
  <=> $true ) ).

%------ Positive definition of ssSkC22 
fof(lit_def_007,axiom,
    ( ssSkC22
  <=> $true ) ).

%------ Positive definition of ssSkC21 
fof(lit_def_008,axiom,
    ( ssSkC21
  <=> $false ) ).

%------ Positive definition of ssSkC19 
fof(lit_def_009,axiom,
    ( ssSkC19
  <=> $true ) ).

%------ Positive definition of ssSkC17 
fof(lit_def_010,axiom,
    ( ssSkC17
  <=> $true ) ).

%------ Positive definition of ssSkC16 
fof(lit_def_011,axiom,
    ( ssSkC16
  <=> $false ) ).

%------ Positive definition of ssSkC15 
fof(lit_def_012,axiom,
    ( ssSkC15
  <=> $true ) ).

%------ Positive definition of ssSkC14 
fof(lit_def_013,axiom,
    ( ssSkC14
  <=> $true ) ).

%------ Positive definition of ssSkC13 
fof(lit_def_014,axiom,
    ( ssSkC13
  <=> $false ) ).

%------ Positive definition of ssSkC11 
fof(lit_def_015,axiom,
    ( ssSkC11
  <=> $true ) ).

%------ Positive definition of ssSkC10 
fof(lit_def_016,axiom,
    ( ssSkC10
  <=> $true ) ).

%------ Positive definition of ssSkC7 
fof(lit_def_017,axiom,
    ( ssSkC7
  <=> $true ) ).

%------ Positive definition of ssSkC6 
fof(lit_def_018,axiom,
    ( ssSkC6
  <=> $true ) ).

%------ Positive definition of ssSkC5 
fof(lit_def_019,axiom,
    ( ssSkC5
  <=> $true ) ).

%------ Positive definition of ssSkC3 
fof(lit_def_020,axiom,
    ( ssSkC3
  <=> $true ) ).

%------ Positive definition of ssSkC1 
fof(lit_def_021,axiom,
    ( ssSkC1
  <=> $false ) ).

%------ Positive definition of ssSkC0 
fof(lit_def_022,axiom,
    ( ssSkC0
  <=> $true ) ).

%------ Positive definition of ssSkC20 
fof(lit_def_023,axiom,
    ( ssSkC20
  <=> $true ) ).

%------ Positive definition of c2_1 
fof(lit_def_024,axiom,
    ! [X0] :
      ( c2_1(X0)
    <=> ( X0 = a830
        | X0 = a800 ) ) ).

%------ Positive definition of ndr1_1 
fof(lit_def_025,axiom,
    ! [X0] :
      ( ndr1_1(X0)
    <=> $true ) ).

%------ Positive definition of c5_1 
fof(lit_def_026,axiom,
    ! [X0] :
      ( c5_1(X0)
    <=> ( X0 = a858
        | X0 = a892
        | X0 = a843 ) ) ).

%------ Positive definition of ssSkC4 
fof(lit_def_027,axiom,
    ( ssSkC4
  <=> $false ) ).

%------ Positive definition of ssSkP9 
fof(lit_def_028,axiom,
    ! [X0] :
      ( ssSkP9(X0)
    <=> ( X0 = a858
        | X0 = a830
        | X0 = a800
        | X0 = a892
        | X0 = a887
        | X0 = a831
        | X0 = a804
        | X0 = a827 ) ) ).

%------ Positive definition of ssSkP8 
fof(lit_def_029,axiom,
    ! [X0] :
      ( ssSkP8(X0)
    <=> $true ) ).

%------ Positive definition of ssSkP7 
fof(lit_def_030,axiom,
    ! [X0] :
      ( ssSkP7(X0)
    <=> $true ) ).

%------ Positive definition of ssSkP6 
fof(lit_def_031,axiom,
    ! [X0] :
      ( ssSkP6(X0)
    <=> $true ) ).

%------ Positive definition of ssSkP5 
fof(lit_def_032,axiom,
    ! [X0] :
      ( ssSkP5(X0)
    <=> X0 = a891 ) ).

%------ Positive definition of ssSkP4 
fof(lit_def_033,axiom,
    ! [X0] :
      ( ssSkP4(X0)
    <=> $true ) ).

%------ Negative definition of c1_1 
fof(lit_def_034,axiom,
    ! [X0] :
      ( ~ c1_1(X0)
    <=> ( X0 = a858
        | X0 = a892
        | X0 = a887
        | X0 = a831
        | X0 = a818
        | X0 = a839
        | X0 = a843
        | X0 = a795
        | X0 = a863 ) ) ).

%------ Positive definition of ssSkP3 
fof(lit_def_035,axiom,
    ! [X0] :
      ( ssSkP3(X0)
    <=> $true ) ).

%------ Positive definition of c3_1 
fof(lit_def_036,axiom,
    ! [X0] :
      ( c3_1(X0)
    <=> ( X0 = a831
        | X0 = a839 ) ) ).

%------ Positive definition of c4_1 
fof(lit_def_037,axiom,
    ! [X0] :
      ( c4_1(X0)
    <=> $false ) ).

%------ Positive definition of ssSkP2 
fof(lit_def_038,axiom,
    ! [X0] :
      ( ssSkP2(X0)
    <=> $false ) ).

%------ Positive definition of ssSkP1 
fof(lit_def_039,axiom,
    ! [X0] :
      ( ssSkP1(X0)
    <=> $true ) ).

%------ Positive definition of ssSkP0 
fof(lit_def_040,axiom,
    ! [X0] :
      ( ssSkP0(X0)
    <=> ( X0 = a839
        | X0 = a891 ) ) ).

%------ Positive definition of c3_2 
fof(lit_def_041,axiom,
    ! [X0,X1] :
      ( c3_2(X0,X1)
    <=> ( ( X0 = a858
          & X1 = a859 )
        | ( X0 = a858
          & X1 = a871 )
        | ( X0 = a858
          & X1 = a866 )
        | ( X0 = a830
          & X1 = a871 )
        | ( X0 = a812
          & X1 = a813 )
        | ( X0 = a800
          & X1 = a871 )
        | ( X0 = a892
          & X1 = a871 )
        | ( X0 = a892
          & X1 = a866 )
        | ( X0 = a887
          & X1 = a888 )
        | ( X0 = a887
          & X1 = a871 )
        | ( X0 = a792
          & X1 = a794 )
        | ( X0 = a894
          & X1 = a895 )
        | ( X0 = a853
          & X1 = a854 )
        | ( X0 = a839
          & X1 = a889 )
        | ( X0 = a839
          & X1 = a871 )
        | ( X0 = a891
          & X1 = a871 )
        | ( X0 = a891
          & X1 = a787 )
        | ( X0 = a891
          & X1 = a872 )
        | ( X0 = a891
          & X1 = a788 )
        | ( X0 = a891
          & X1 = a886 )
        | ( X0 = a843
          & X1 = a889 )
        | ( X0 = a843
          & X1 = a871 )
        | ( X0 = a843
          & X1 = a866 )
        | ( X0 = a867
          & X1 = a869 )
        | ( X0 = a863
          & X1 != a787
          & X1 != a807 )
        | ( X1 = a889
          & X0 != a858
          & X0 != a830
          & X0 != a800
          & X0 != a892
          & X0 != a887
          & X0 != a839
          & X0 != a843 )
        | ( X1 = a871
          & X0 != a858
          & X0 != a830
          & X0 != a800
          & X0 != a892
          & X0 != a887
          & X0 != a839
          & X0 != a843 ) ) ) ).

%------ Positive definition of c2_2 
fof(lit_def_042,axiom,
    ! [X0,X1] :
      ( c2_2(X0,X1)
    <=> ( ( X0 = a875
          & X1 = a889 )
        | ( X0 = a858
          & X1 = a859 )
        | ( X0 = a858
          & X1 = a889 )
        | ( X0 = a812
          & X1 = a813 )
        | ( X0 = a812
          & X1 = a889 )
        | ( X0 = a800
          & X1 != a889
          & X1 != a883
          & X1 != a833
          & X1 != a807
          & X1 != a872
          & X1 != a808
          & X1 != a788
          & X1 != a825
          & X1 != a811
          & X1 != a866
          & X1 != a834
          & X1 != a832 )
        | ( X0 = a800
          & X1 = a889 )
        | ( X0 = a800
          & X1 = a833 )
        | ( X0 = a800
          & X1 = a872 )
        | ( X0 = a800
          & X1 = a808 )
        | ( X0 = a800
          & X1 = a788 )
        | ( X0 = a800
          & X1 = a825 )
        | ( X0 = a800
          & X1 = a811 )
        | ( X0 = a800
          & X1 = a866 )
        | ( X0 = a800
          & X1 = a834 )
        | ( X0 = a800
          & X1 = a832 )
        | ( X0 = a887
          & X1 = a889 )
        | ( X0 = a818
          & X1 = a889 )
        | ( X0 = a792
          & X1 = a889 )
        | ( X0 = a894
          & X1 = a889 )
        | ( X0 = a853
          & X1 = a889 )
        | ( X0 = a853
          & X1 = a854 )
        | ( X0 = a839
          & X1 = a889 )
        | ( X0 = a839
          & X1 = a840 )
        | ( X0 = a786
          & X1 = a889 )
        | ( X0 = a843
          & X1 = a889 )
        | ( X0 = a867
          & X1 = a889 )
        | ( X0 = a867
          & X1 = a869 )
        | ( X0 = a795
          & X1 = a889 )
        | ( X0 = a796
          & X1 = a797 )
        | ( X1 = a889
          & X0 != a875
          & X0 != a858
          & X0 != a830
          & X0 != a812
          & X0 != a800
          & X0 != a892
          & X0 != a887
          & X0 != a831
          & X0 != a818
          & X0 != a804
          & X0 != a792
          & X0 != a894
          & X0 != a853
          & X0 != a839
          & X0 != a786
          & X0 != a843
          & X0 != a867
          & X0 != a795
          & X0 != a827 ) ) ) ).

%------ Positive definition of c1_2 
fof(lit_def_043,axiom,
    ! [X0,X1] :
      ( c1_2(X0,X1)
    <=> ( ( X0 = a830
          & X1 != a871
          & X1 != a784
          & X1 != a872
          & X1 != a832 )
        | ( X0 = a830
          & X1 = a784 )
        | ( X0 = a830
          & X1 = a872 )
        | ( X0 = a830
          & X1 = a825 )
        | ( X0 = a830
          & X1 = a832 )
        | ( X0 = a812
          & X1 = a813 )
        | ( X0 = a800
          & X1 = a825 )
        | ( X0 = a892
          & X1 = a889 )
        | ( X0 = a887
          & X1 = a889 )
        | ( X0 = a887
          & X1 = a888 )
        | ( X0 = a887
          & X1 = a871 )
        | ( X0 = a849
          & X1 = a851 )
        | ( X0 = a849
          & X1 = a850 )
        | ( X0 = a817
          & X1 = a825 )
        | ( X0 = a804
          & X1 = a889 )
        | ( X0 = a804
          & X1 = a787 )
        | ( X0 = a804
          & X1 = a872 )
        | ( X0 = a801
          & X1 = a802 )
        | ( X0 = a792
          & X1 = a793 )
        | ( X0 = a820
          & X1 = a821 )
        | ( X0 = a893
          & X1 != a784
          & X1 != a832 )
        | ( X0 = a891
          & X1 = a788 )
        | ( X0 = a796
          & X1 = a797 ) ) ) ).

%------ Positive definition of c5_2 
fof(lit_def_044,axiom,
    ! [X0,X1] :
      ( c5_2(X0,X1)
    <=> ( ( X0 = a875
          & X1 = a889 )
        | ( X0 = a858
          & X1 = a859 )
        | ( X0 = a858
          & X1 = a886 )
        | ( X0 = a830
          & X1 = a871 )
        | ( X0 = a812
          & X1 = a813 )
        | X0 = a800
        | ( X0 = a800
          & X1 = a883 )
        | ( X0 = a800
          & X1 = a833 )
        | ( X0 = a800
          & X1 = a807 )
        | ( X0 = a800
          & X1 = a872 )
        | ( X0 = a831
          & X1 = a871 )
        | ( X0 = a831
          & X1 = a787 )
        | ( X0 = a818
          & X1 = a871 )
        | ( X0 = a818
          & X1 = a787 )
        | ( X0 = a818
          & X1 = a886 )
        | ( X0 = a801
          & X1 = a802 )
        | ( X0 = a792
          & X1 = a871 )
        | ( X0 = a792
          & X1 = a787 )
        | ( X0 = a792
          & X1 = a886 )
        | ( X0 = a894
          & X1 = a871 )
        | ( X0 = a894
          & X1 = a787 )
        | ( X0 = a894
          & X1 = a886 )
        | ( X0 = a853
          & X1 = a854 )
        | ( X0 = a839
          & X1 = a871 )
        | ( X0 = a839
          & X1 = a886 )
        | ( X0 = a891
          & X1 = a886 )
        | ( X0 = a867
          & X1 = a868 )
        | ( X0 = a867
          & X1 = a886 )
        | ( X0 = a796
          & X1 = a886 )
        | ( X1 = a871
          & X0 != a831
          & X0 != a818
          & X0 != a792
          & X0 != a894
          & X0 != a839
          & X0 != a891 )
        | ( X1 = a787
          & X0 != a831
          & X0 != a818
          & X0 != a792
          & X0 != a894
          & X0 != a839
          & X0 != a891 )
        | ( X1 = a886
          & X0 != a858
          & X0 != a831
          & X0 != a818
          & X0 != a792
          & X0 != a894
          & X0 != a839
          & X0 != a891 ) ) ) ).

%------ Positive definition of c4_2 
fof(lit_def_045,axiom,
    ! [X0,X1] :
      ( c4_2(X0,X1)
    <=> ( ( X0 = a858
          & X1 = a886 )
        | ( X0 = a800
          & X1 = a886 )
        | ( X0 = a804
          & X1 != a889
          & X1 != a787
          & X1 != a872 )
        | ( X0 = a801
          & X1 = a802 )
        | ( X0 = a839
          & X1 = a871 )
        | ( X0 = a839
          & X1 = a840 )
        | ( X0 = a839
          & X1 = a886 )
        | ( X0 = a867
          & X1 = a886 )
        | ( X0 = a863
          & X1 = a807 )
        | ( X0 = a796
          & X1 = a886 )
        | ( X1 = a886
          & X0 != a875
          & X0 != a858
          & X0 != a830
          & X0 != a800
          & X0 != a892
          & X0 != a831
          & X0 != a867 ) ) ) ).

%------ Positive definition of ssSkC2 
fof(lit_def_046,axiom,
    ( ssSkC2
  <=> $true ) ).

%------ Positive definition of ssSkC18 
fof(lit_def_047,axiom,
    ( ssSkC18
  <=> $true ) ).

%------ Positive definition of ssSkC8 
fof(lit_def_048,axiom,
    ( ssSkC8
  <=> $false ) ).

%------ Positive definition of ssSkC12 
fof(lit_def_049,axiom,
    ( ssSkC12
  <=> $false ) ).

%------ Positive definition of sP0_iProver_split 
fof(lit_def_050,axiom,
    ( sP0_iProver_split
  <=> $false ) ).

%------ Positive definition of sP1_iProver_split 
fof(lit_def_051,axiom,
    ( sP1_iProver_split
  <=> $true ) ).

%------ Positive definition of sP2_iProver_split 
fof(lit_def_052,axiom,
    ( sP2_iProver_split
  <=> $false ) ).

%------ Positive definition of sP3_iProver_split 
fof(lit_def_053,axiom,
    ( sP3_iProver_split
  <=> $false ) ).

%------ Positive definition of sP4_iProver_split 
fof(lit_def_054,axiom,
    ( sP4_iProver_split
  <=> $true ) ).

%------ Positive definition of sP5_iProver_split 
fof(lit_def_055,axiom,
    ( sP5_iProver_split
  <=> $false ) ).

%------ Positive definition of sP6_iProver_split 
fof(lit_def_056,axiom,
    ( sP6_iProver_split
  <=> $true ) ).

%------ Positive definition of sP7_iProver_split 
fof(lit_def_057,axiom,
    ( sP7_iProver_split
  <=> $false ) ).

%------ Positive definition of sP8_iProver_split 
fof(lit_def_058,axiom,
    ( sP8_iProver_split
  <=> $false ) ).

%------ Positive definition of sP9_iProver_split 
fof(lit_def_059,axiom,
    ( sP9_iProver_split
  <=> $true ) ).

%------ Positive definition of sP10_iProver_split 
fof(lit_def_060,axiom,
    ( sP10_iProver_split
  <=> $false ) ).

%------ Positive definition of sP11_iProver_split 
fof(lit_def_061,axiom,
    ( sP11_iProver_split
  <=> $true ) ).

%------ Positive definition of sP12_iProver_split 
fof(lit_def_062,axiom,
    ( sP12_iProver_split
  <=> $false ) ).

%------ Positive definition of sP13_iProver_split 
fof(lit_def_063,axiom,
    ( sP13_iProver_split
  <=> $true ) ).

%------ Positive definition of sP14_iProver_split 
fof(lit_def_064,axiom,
    ( sP14_iProver_split
  <=> $true ) ).

%------ Positive definition of sP15_iProver_split 
fof(lit_def_065,axiom,
    ( sP15_iProver_split
  <=> $true ) ).

%------ Positive definition of sP16_iProver_split 
fof(lit_def_066,axiom,
    ( sP16_iProver_split
  <=> $true ) ).

%------ Positive definition of sP17_iProver_split 
fof(lit_def_067,axiom,
    ( sP17_iProver_split
  <=> $false ) ).

%------ Positive definition of sP18_iProver_split 
fof(lit_def_068,axiom,
    ( sP18_iProver_split
  <=> $false ) ).

%------ Positive definition of sP19_iProver_split 
fof(lit_def_069,axiom,
    ( sP19_iProver_split
  <=> $true ) ).

%------ Positive definition of sP20_iProver_split 
fof(lit_def_070,axiom,
    ( sP20_iProver_split
  <=> $false ) ).

%------ Positive definition of sP21_iProver_split 
fof(lit_def_071,axiom,
    ( sP21_iProver_split
  <=> $false ) ).

%------ Positive definition of sP22_iProver_split 
fof(lit_def_072,axiom,
    ( sP22_iProver_split
  <=> $true ) ).

%------ Positive definition of sP23_iProver_split 
fof(lit_def_073,axiom,
    ( sP23_iProver_split
  <=> $false ) ).

%------ Positive definition of sP24_iProver_split 
fof(lit_def_074,axiom,
    ( sP24_iProver_split
  <=> $true ) ).

%------ Positive definition of sP25_iProver_split 
fof(lit_def_075,axiom,
    ( sP25_iProver_split
  <=> $false ) ).

%------ Positive definition of sP26_iProver_split 
fof(lit_def_076,axiom,
    ( sP26_iProver_split
  <=> $true ) ).

%------ Positive definition of sP27_iProver_split 
fof(lit_def_077,axiom,
    ( sP27_iProver_split
  <=> $true ) ).

%------ Positive definition of sP28_iProver_split 
fof(lit_def_078,axiom,
    ( sP28_iProver_split
  <=> $false ) ).

%------ Positive definition of sP29_iProver_split 
fof(lit_def_079,axiom,
    ( sP29_iProver_split
  <=> $true ) ).

%------ Positive definition of sP30_iProver_split 
fof(lit_def_080,axiom,
    ( sP30_iProver_split
  <=> $false ) ).

%------ Positive definition of sP31_iProver_split 
fof(lit_def_081,axiom,
    ( sP31_iProver_split
  <=> $false ) ).

%------ Positive definition of sP32_iProver_split 
fof(lit_def_082,axiom,
    ( sP32_iProver_split
  <=> $false ) ).

%------ Positive definition of sP33_iProver_split 
fof(lit_def_083,axiom,
    ( sP33_iProver_split
  <=> $true ) ).

%------ Positive definition of sP34_iProver_split 
fof(lit_def_084,axiom,
    ( sP34_iProver_split
  <=> $false ) ).

%------ Positive definition of sP35_iProver_split 
fof(lit_def_085,axiom,
    ( sP35_iProver_split
  <=> $false ) ).

%------ Positive definition of sP36_iProver_split 
fof(lit_def_086,axiom,
    ( sP36_iProver_split
  <=> $true ) ).

%------ Positive definition of sP37_iProver_split 
fof(lit_def_087,axiom,
    ( sP37_iProver_split
  <=> $true ) ).

%------ Positive definition of sP38_iProver_split 
fof(lit_def_088,axiom,
    ( sP38_iProver_split
  <=> $true ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN513-1 : TPTP v8.1.2. Released v2.1.0.
% 0.10/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 21:04:53 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.77/1.19  % SZS status Started for theBenchmark.p
% 0.77/1.19  % SZS status Satisfiable for theBenchmark.p
% 0.77/1.19  
% 0.77/1.19  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.77/1.19  
% 0.77/1.19  ------  iProver source info
% 0.77/1.19  
% 0.77/1.19  git: date: 2023-05-31 18:12:56 +0000
% 0.77/1.19  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.77/1.19  git: non_committed_changes: false
% 0.77/1.19  git: last_make_outside_of_git: false
% 0.77/1.19  
% 0.77/1.19  ------ Parsing...successful
% 0.77/1.19  
% 0.77/1.19  ------  preprocesses with Option_epr_non_horn_non_eq
% 0.77/1.19  
% 0.77/1.19  
% 0.77/1.19  ------ Preprocessing... sf_s  rm: 29 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.77/1.19  
% 0.77/1.19  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 0.77/1.19   gs_s  sp: 63 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.77/1.19  ------ Proving...
% 0.77/1.19  ------ Problem Properties 
% 0.77/1.19  
% 0.77/1.19  
% 0.77/1.19  clauses                                 243
% 0.77/1.19  conjectures                             198
% 0.77/1.19  EPR                                     243
% 0.77/1.19  Horn                                    111
% 0.77/1.19  unary                                   13
% 0.77/1.19  binary                                  82
% 0.77/1.19  lits                                    761
% 0.77/1.19  lits eq                                 0
% 0.77/1.19  fd_pure                                 0
% 0.77/1.19  fd_pseudo                               0
% 0.77/1.19  fd_cond                                 0
% 0.77/1.19  fd_pseudo_cond                          0
% 0.77/1.19  AC symbols                              0
% 0.77/1.19  
% 0.77/1.19  ------ Schedule EPR non Horn non eq is on
% 0.77/1.19  
% 0.77/1.19  ------ no equalities: superposition off 
% 0.77/1.19  
% 0.77/1.19  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.77/1.19  
% 0.77/1.19  
% 0.77/1.19  ------ 
% 0.77/1.19  Current options:
% 0.77/1.19  ------ 
% 0.77/1.19  
% 0.77/1.19  
% 0.77/1.19  
% 0.77/1.19  
% 0.77/1.19  ------ Proving...
% 0.77/1.19  
% 0.77/1.19  
% 0.77/1.19  % SZS status Satisfiable for theBenchmark.p
% 0.77/1.19  
% 0.77/1.19  ------ Building Model...Done
% 0.77/1.19  
% 0.77/1.19  %------ The model is defined over ground terms (initial term algebra).
% 0.77/1.19  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 0.77/1.19  %------ where \phi is a formula over the term algebra.
% 0.77/1.19  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 0.77/1.19  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 0.77/1.19  %------ See help for --sat_out_model for different model outputs.
% 0.77/1.19  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 0.77/1.19  %------ where the first argument stands for the sort ($i in the unsorted case)
% 0.77/1.19  % SZS output start Model for theBenchmark.p
% See solution above
% 0.77/1.19  
%------------------------------------------------------------------------------