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iProver---3.9.4.SAT-Mod.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN427-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:40:10 PM UTC 2026

% Result   : Satisfiable 3.54s 1.13s
% Output   : Model 3.54s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

%------ Positive definition of c7_0 
fof(lit_def_001,axiom,
    ( c7_0
  <=> $true ) ).

%------ Positive definition of c9_0 
fof(lit_def_002,axiom,
    ( c9_0
  <=> $true ) ).

%------ Positive definition of c6_0 
fof(lit_def_003,axiom,
    ( c6_0
  <=> $false ) ).

%------ Positive definition of c8_0 
fof(lit_def_004,axiom,
    ( c8_0
  <=> $false ) ).

%------ Positive definition of c2_0 
fof(lit_def_005,axiom,
    ( c2_0
  <=> $true ) ).

%------ Positive definition of ndr1_1 
fof(lit_def_006,axiom,
    ! [X0] :
      ( ndr1_1(X0)
    <=> $true ) ).

%------ Positive definition of c7_1 
fof(lit_def_007,axiom,
    ! [X0] :
      ( c7_1(X0)
    <=> $false ) ).

%------ Positive definition of c5_1 
fof(lit_def_008,axiom,
    ! [X0] :
      ( c5_1(X0)
    <=> ( X0 = a1650
        | X0 = a1631
        | X0 = a1729 ) ) ).

%------ Positive definition of c3_0 
fof(lit_def_009,axiom,
    ( c3_0
  <=> $true ) ).

%------ Positive definition of ssSkC19 
fof(lit_def_010,axiom,
    ( ssSkC19
  <=> $true ) ).

%------ Positive definition of c10_0 
fof(lit_def_011,axiom,
    ( c10_0
  <=> $false ) ).

%------ Positive definition of c5_0 
fof(lit_def_012,axiom,
    ( c5_0
  <=> $true ) ).

%------ Positive definition of c4_0 
fof(lit_def_013,axiom,
    ( c4_0
  <=> $false ) ).

%------ Positive definition of ssSkP16 
fof(lit_def_014,axiom,
    ! [X0] :
      ( ssSkP16(X0)
    <=> $true ) ).

%------ Positive definition of ssSkP15 
fof(lit_def_015,axiom,
    ! [X0] :
      ( ssSkP15(X0)
    <=> $true ) ).

%------ Positive definition of ssSkC57 
fof(lit_def_016,axiom,
    ( ssSkC57
  <=> $false ) ).

%------ Positive definition of c8_1 
fof(lit_def_017,axiom,
    ! [X0] :
      ( c8_1(X0)
    <=> ( X0 = a1681
        | X0 = a1683
        | X0 = a1647
        | X0 = a1610
        | X0 = a1824 ) ) ).

%------ Positive definition of ssSkC56 
fof(lit_def_018,axiom,
    ( ssSkC56
  <=> $false ) ).

%------ Positive definition of ssSkC55 
fof(lit_def_019,axiom,
    ( ssSkC55
  <=> $true ) ).

%------ Positive definition of c10_1 
fof(lit_def_020,axiom,
    ! [X0] :
      ( c10_1(X0)
    <=> X0 = a1611 ) ).

%------ Positive definition of ssSkC54 
fof(lit_def_021,axiom,
    ( ssSkC54
  <=> $true ) ).

%------ Positive definition of c3_1 
fof(lit_def_022,axiom,
    ! [X0] :
      ( c3_1(X0)
    <=> ( X0 = a1681
        | X0 = a1611
        | X0 = a1620
        | X0 = a1729 ) ) ).

%------ Positive definition of ssSkC52 
fof(lit_def_023,axiom,
    ( ssSkC52
  <=> $true ) ).

%------ Positive definition of c9_1 
fof(lit_def_024,axiom,
    ! [X0] :
      ( c9_1(X0)
    <=> ( X0 = a1711
        | X0 = a1694 ) ) ).

%------ Positive definition of ssSkP14 
fof(lit_def_025,axiom,
    ! [X0] :
      ( ssSkP14(X0)
    <=> X0 = a1650 ) ).

%------ Positive definition of ssSkC50 
fof(lit_def_026,axiom,
    ( ssSkC50
  <=> $true ) ).

%------ Positive definition of ssSkP13 
fof(lit_def_027,axiom,
    ! [X0] :
      ( ssSkP13(X0)
    <=> $true ) ).

%------ Positive definition of ssSkC48 
fof(lit_def_028,axiom,
    ( ssSkC48
  <=> $true ) ).

%------ Positive definition of ssSkP12 
fof(lit_def_029,axiom,
    ! [X0] :
      ( ssSkP12(X0)
    <=> $true ) ).

%------ Positive definition of ssSkP11 
fof(lit_def_030,axiom,
    ! [X0] :
      ( ssSkP11(X0)
    <=> X0 = a1647 ) ).

%------ Positive definition of ssSkP10 
fof(lit_def_031,axiom,
    ! [X0] :
      ( ssSkP10(X0)
    <=> X0 = a1721 ) ).

%------ Positive definition of ssSkP9 
fof(lit_def_032,axiom,
    ! [X0] :
      ( ssSkP9(X0)
    <=> $true ) ).

%------ Positive definition of ssSkP8 
fof(lit_def_033,axiom,
    ! [X0] :
      ( ssSkP8(X0)
    <=> $true ) ).

%------ Positive definition of ssSkC43 
fof(lit_def_034,axiom,
    ( ssSkC43
  <=> $true ) ).

%------ Positive definition of c4_1 
fof(lit_def_035,axiom,
    ! [X0] :
      ( c4_1(X0)
    <=> ( X0 = a1667
        | X0 = a1706 ) ) ).

%------ Positive definition of c2_1 
fof(lit_def_036,axiom,
    ! [X0] :
      ( c2_1(X0)
    <=> X0 = a1650 ) ).

%------ Positive definition of ssSkP7 
fof(lit_def_037,axiom,
    ! [X0] :
      ( ssSkP7(X0)
    <=> $true ) ).

%------ Positive definition of ssSkC39 
fof(lit_def_038,axiom,
    ( ssSkC39
  <=> $true ) ).

%------ Positive definition of ssSkC38 
fof(lit_def_039,axiom,
    ( ssSkC38
  <=> $true ) ).

%------ Positive definition of ssSkP6 
fof(lit_def_040,axiom,
    ! [X0] :
      ( ssSkP6(X0)
    <=> $true ) ).

%------ Positive definition of c6_1 
fof(lit_def_041,axiom,
    ! [X0] :
      ( c6_1(X0)
    <=> ( X0 = a1647
        | X0 = a1655
        | X0 = a1736 ) ) ).

%------ Positive definition of ssSkC37 
fof(lit_def_042,axiom,
    ( ssSkC37
  <=> $false ) ).

%------ Positive definition of ssSkC36 
fof(lit_def_043,axiom,
    ( ssSkC36
  <=> $true ) ).

%------ Positive definition of ssSkC35 
fof(lit_def_044,axiom,
    ( ssSkC35
  <=> $false ) ).

%------ Positive definition of ssSkC33 
fof(lit_def_045,axiom,
    ( ssSkC33
  <=> $false ) ).

%------ Positive definition of ssSkC30 
fof(lit_def_046,axiom,
    ( ssSkC30
  <=> $true ) ).

%------ Positive definition of ssSkC27 
fof(lit_def_047,axiom,
    ( ssSkC27
  <=> $false ) ).

%------ Positive definition of ssSkC25 
fof(lit_def_048,axiom,
    ( ssSkC25
  <=> $false ) ).

%------ Positive definition of ssSkC24 
fof(lit_def_049,axiom,
    ( ssSkC24
  <=> $true ) ).

%------ Positive definition of ssSkP5 
fof(lit_def_050,axiom,
    ! [X0] :
      ( ssSkP5(X0)
    <=> $false ) ).

%------ Positive definition of ssSkC22 
fof(lit_def_051,axiom,
    ( ssSkC22
  <=> $true ) ).

%------ Positive definition of ssSkC20 
fof(lit_def_052,axiom,
    ( ssSkC20
  <=> $true ) ).

%------ Positive definition of ssSkP4 
fof(lit_def_053,axiom,
    ! [X0] :
      ( ssSkP4(X0)
    <=> ( X0 = a1650
        | X0 = a1610
        | X0 = a1631
        | X0 = a1721 ) ) ).

%------ Positive definition of ssSkC14 
fof(lit_def_054,axiom,
    ( ssSkC14
  <=> $true ) ).

%------ Positive definition of ssSkC13 
fof(lit_def_055,axiom,
    ( ssSkC13
  <=> $false ) ).

%------ Positive definition of ssSkP3 
fof(lit_def_056,axiom,
    ! [X0] :
      ( ssSkP3(X0)
    <=> ( X0 = a1708
        | X0 = a1647
        | X0 = a1650
        | X0 = a1610 ) ) ).

%------ Positive definition of ssSkP2 
fof(lit_def_057,axiom,
    ! [X0] :
      ( ssSkP2(X0)
    <=> ( X0 = a1708
        | X0 = a1647
        | X0 = a1650
        | X0 = a1610 ) ) ).

%------ Positive definition of ssSkC10 
fof(lit_def_058,axiom,
    ( ssSkC10
  <=> $true ) ).

%------ Positive definition of ssSkP1 
fof(lit_def_059,axiom,
    ! [X0] :
      ( ssSkP1(X0)
    <=> $false ) ).

%------ Positive definition of ssSkC9 
fof(lit_def_060,axiom,
    ( ssSkC9
  <=> $true ) ).

%------ Positive definition of ssSkP0 
fof(lit_def_061,axiom,
    ! [X0] :
      ( ssSkP0(X0)
    <=> $true ) ).

%------ Positive definition of ssSkC3 
fof(lit_def_062,axiom,
    ( ssSkC3
  <=> $true ) ).

%------ Positive definition of ssSkC2 
fof(lit_def_063,axiom,
    ( ssSkC2
  <=> $true ) ).

%------ Positive definition of ssSkC0 
fof(lit_def_064,axiom,
    ( ssSkC0
  <=> $true ) ).

%------ Positive definition of c1_1 
fof(lit_def_065,axiom,
    ! [X0] :
      ( c1_1(X0)
    <=> ( X0 = a1704
        | X0 = a1711 ) ) ).

%------ Positive definition of ssSkC51 
fof(lit_def_066,axiom,
    ( ssSkC51
  <=> $false ) ).

%------ Positive definition of ssSkC47 
fof(lit_def_067,axiom,
    ( ssSkC47
  <=> $false ) ).

%------ Positive definition of c9_2 
fof(lit_def_068,axiom,
    ! [X0,X1] :
      ( c9_2(X0,X1)
    <=> ( ( X1 = a1586
          & X0 = a1611 )
        | ( X1 = a1612
          & X0 = a1611 )
        | ( X1 = a1653
          & X0 = a1650 )
        | ( X1 = a1619
          & X0 = a1618 )
        | ( X1 = a1632
          & X0 = a1631 )
        | ( X1 = a1633
          & X0 = a1631 )
        | ( X1 = a1819
          & X0 = a1817 )
        | ( X1 = a1648
          & X0 = a1820 )
        | ( X1 = a1661
          & X0 = a1659 ) ) ) ).

%------ Positive definition of ssSkC34 
fof(lit_def_069,axiom,
    ( ssSkC34
  <=> $true ) ).

%------ Positive definition of ssSkC32 
fof(lit_def_070,axiom,
    ( ssSkC32
  <=> $true ) ).

%------ Positive definition of ssSkC28 
fof(lit_def_071,axiom,
    ( ssSkC28
  <=> $true ) ).

%------ Positive definition of ssSkC29 
fof(lit_def_072,axiom,
    ( ssSkC29
  <=> $true ) ).

%------ Positive definition of c1_0 
fof(lit_def_073,axiom,
    ( c1_0
  <=> $false ) ).

%------ Positive definition of c8_2 
fof(lit_def_074,axiom,
    ! [X0,X1] :
      ( c8_2(X0,X1)
    <=> ( ( X1 = a1586
          & X0 = a1611 )
        | ( X1 = a1648
          & X0 = a1587 )
        | ( X1 = a1800
          & X0 = a1587 )
        | ( X1 = a1619
          & X0 = a1618 )
        | ( X1 = a1818
          & X0 = a1817 )
        | ( X1 = a1821
          & X0 = a1820 )
        | ( X1 = a1825
          & X0 = a1824 ) ) ) ).

%------ Positive definition of c4_2 
fof(lit_def_075,axiom,
    ! [X0,X1] :
      ( c4_2(X0,X1)
    <=> ( ( X1 = a1633
          & X0 = a1631 )
        | ( X1 = a1818
          & X0 = a1817 )
        | ( X1 = a1660
          & X0 = a1659 )
        | ( X1 = a1661
          & X0 = a1659 ) ) ) ).

%------ Positive definition of c5_2 
fof(lit_def_076,axiom,
    ! [X0,X1] :
      ( c5_2(X0,X1)
    <=> ( ( X0 != a1706
          & X0 != a1721
          & X1 = a1613 )
        | ( X0 != a1706
          & X0 != a1721
          & X1 = a1773 )
        | ( X1 = a1684
          & X0 = a1683 )
        | ( X1 = a1799
          & X0 = a1798 )
        | ( X1 = a1613
          & X0 = a1706 )
        | ( X1 = a1773
          & X0 = a1706 )
        | ( X1 = a1613
          & X0 = a1721 )
        | ( X1 = a1825
          & X0 = a1824 )
        | ( X1 = a1660
          & X0 = a1659 ) ) ) ).

%------ Positive definition of c3_2 
fof(lit_def_077,axiom,
    ! [X0,X1] :
      ( c3_2(X0,X1)
    <=> ( ( X0 != a1650
          & X0 != a1610
          & X0 != a1706
          & X0 != a1721
          & X0 != a1795
          & X1 = a1648 )
        | ( X1 = a1648
          & X0 = a1706 )
        | ( X1 = a1648
          & X0 = a1795 )
        | ( X1 = a1660
          & X0 = a1659 ) ) ) ).

%------ Positive definition of ssSkC17 
fof(lit_def_078,axiom,
    ( ssSkC17
  <=> $true ) ).

%------ Positive definition of ssSkC18 
fof(lit_def_079,axiom,
    ( ssSkC18
  <=> $true ) ).

%------ Positive definition of ssSkC15 
fof(lit_def_080,axiom,
    ( ssSkC15
  <=> $true ) ).

%------ Positive definition of ssSkC16 
fof(lit_def_081,axiom,
    ( ssSkC16
  <=> $false ) ).

%------ Positive definition of ssSkC11 
fof(lit_def_082,axiom,
    ( ssSkC11
  <=> $false ) ).

%------ Positive definition of ssSkC12 
fof(lit_def_083,axiom,
    ( ssSkC12
  <=> $true ) ).

%------ Positive definition of ssSkC7 
fof(lit_def_084,axiom,
    ( ssSkC7
  <=> $true ) ).

%------ Positive definition of ssSkC8 
fof(lit_def_085,axiom,
    ( ssSkC8
  <=> $false ) ).

%------ Positive definition of ssSkC4 
fof(lit_def_086,axiom,
    ( ssSkC4
  <=> $true ) ).

%------ Positive definition of ssSkC5 
fof(lit_def_087,axiom,
    ( ssSkC5
  <=> $false ) ).

%------ Positive definition of ssSkC1 
fof(lit_def_088,axiom,
    ( ssSkC1
  <=> $false ) ).

%------ Positive definition of c7_2 
fof(lit_def_089,axiom,
    ! [X0,X1] :
      ( c7_2(X0,X1)
    <=> ( X1 = a1621
        & X0 = a1620 ) ) ).

%------ Positive definition of c1_2 
fof(lit_def_090,axiom,
    ! [X0,X1] :
      ( c1_2(X0,X1)
    <=> X1 = a1689 ) ).

%------ Positive definition of c6_2 
fof(lit_def_091,axiom,
    ! [X0,X1] :
      ( c6_2(X0,X1)
    <=> ( ( X1 = a1653
          & X0 = a1650 )
        | ( X1 = a1801
          & X0 = a1650 )
        | ( X1 = a1707
          & X0 = a1706 ) ) ) ).

%------ Positive definition of c2_2 
fof(lit_def_092,axiom,
    ! [X0,X1] :
      ( c2_2(X0,X1)
    <=> ( ( X0 != a1587
          & X1 = a1648 )
        | ( X0 != a1587
          & X1 = a1773 )
        | ( X0 != a1587
          & X1 = a1800 )
        | ( X1 = a1690
          & X0 = a1650 )
        | ( X1 = a1623
          & X0 = a1650 )
        | ( X1 = a1762
          & X0 = a1650 )
        | ( X1 = a1777
          & X0 = a1650 )
        | ( X1 = a1829
          & X0 = a1650 )
        | X0 = a1650
        | ( X1 = a1656
          & X0 = a1655 )
        | ( X1 = a1648
          & X0 = a1587 )
        | ( X1 = a1773
          & X0 = a1587 )
        | ( X1 = a1800
          & X0 = a1587 )
        | ( X1 = a1648
          & X0 = a1729 ) ) ) ).

%------ Positive definition of c10_2 
fof(lit_def_093,axiom,
    ! [X0,X1] :
      ( c10_2(X0,X1)
    <=> ( ( X0 != a1587
          & X0 != a1610
          & X0 != a1618
          & X0 != a1631
          & X0 != a1729
          & X0 != a1820
          & X1 = a1648 )
        | ( X1 = a1586
          & X0 = a1611 )
        | ( X1 = a1799
          & X0 = a1798 )
        | ( X1 = a1666
          & X0 = a1650 )
        | ( X1 = a1801
          & X0 = a1650 )
        | ( X1 = a1623
          & X0 = a1650 )
        | ( X1 = a1627
          & X0 = a1650 )
        | ( X1 = a1648
          & X0 = a1650 )
        | ( X1 = a1737
          & X0 = a1650 )
        | ( X1 = a1762
          & X0 = a1650 )
        | ( X1 = a1800
          & X0 = a1650 )
        | ( X1 != a1666
          & X1 != a1801
          & X1 != a1623
          & X1 != a1627
          & X1 != a1737
          & X1 != a1762
          & X1 != a1800
          & X0 = a1650 )
        | ( X1 = a1648
          & X0 = a1587 )
        | ( X1 = a1648
          & X0 = a1610 )
        | ( X1 = a1648
          & X0 = a1618 )
        | ( X1 = a1648
          & X0 = a1706 )
        | ( X1 = a1648
          & X0 = a1729 )
        | ( X1 = a1797
          & X0 = a1795 )
        | ( X1 = a1648
          & X0 = a1820 ) ) ) ).

%------ Positive definition of ssSkC26 
fof(lit_def_094,axiom,
    ( ssSkC26
  <=> $false ) ).

%------ Positive definition of ssSkC53 
fof(lit_def_095,axiom,
    ( ssSkC53
  <=> $false ) ).

%------ Positive definition of ssSkC41 
fof(lit_def_096,axiom,
    ( ssSkC41
  <=> $false ) ).

%------ Positive definition of ssSkC40 
fof(lit_def_097,axiom,
    ( ssSkC40
  <=> $false ) ).

%------ Positive definition of ssSkC23 
fof(lit_def_098,axiom,
    ( ssSkC23
  <=> $true ) ).

%------ Positive definition of ssSkC21 
fof(lit_def_099,axiom,
    ( ssSkC21
  <=> $true ) ).

%------ Positive definition of ssSkC49 
fof(lit_def_100,axiom,
    ( ssSkC49
  <=> $false ) ).

%------ Positive definition of ssSkC46 
fof(lit_def_101,axiom,
    ( ssSkC46
  <=> $false ) ).

%------ Positive definition of ssSkC44 
fof(lit_def_102,axiom,
    ( ssSkC44
  <=> $false ) ).

%------ Positive definition of ssSkC6 
fof(lit_def_103,axiom,
    ( ssSkC6
  <=> $false ) ).

%------ Positive definition of ssSkC42 
fof(lit_def_104,axiom,
    ( ssSkC42
  <=> $false ) ).

%------ Positive definition of ssSkC58 
fof(lit_def_105,axiom,
    ( ssSkC58
  <=> $false ) ).

%------ Positive definition of ssSkC31 
fof(lit_def_106,axiom,
    ( ssSkC31
  <=> $false ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN427-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n019.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Fri Sep 25 01:09:04 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41  Running EPR theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.43  
% 0.10/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43  
% 0.10/0.43  % Detected problem language: tptp
% 0.10/0.44  % Proving...
% 3.54/1.13  % SZS status Started for theBenchmark.p
% 3.54/1.13  % SZS status Satisfiable for theBenchmark.p
% 3.54/1.13  
% 3.54/1.13  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.54/1.13  
% 3.54/1.13  ------  iProver source info
% 3.54/1.13  
% 3.54/1.13  git: date: 2026-07-19 20:42:38 +0200
% 3.54/1.13  git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.54/1.13  git: non_committed_changes: false
% 3.54/1.13  
% 3.54/1.13  ------ Parsing...successful
% 3.54/1.13  
% 3.54/1.13  
% 3.54/1.13  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 3.54/1.13  
% 3.54/1.13  ------ Proving...
% 3.54/1.13  ------ Problem Properties 
% 3.54/1.13  
% 3.54/1.13  
% 3.54/1.13  clauses                                 765
% 3.54/1.13  conjectures                             765
% 3.54/1.13  EPR                                     765
% 3.54/1.13  Horn                                    325
% 3.54/1.13  unary                                   4
% 3.54/1.13  binary                                  247
% 3.54/1.13  lits                                    3367
% 3.54/1.13  lits eq                                 0
% 3.54/1.13  fd_pure                                 0
% 3.54/1.13  fd_pseudo                               0
% 3.54/1.13  fd_cond                                 0
% 3.54/1.13  fd_pseudo_cond                          0
% 3.54/1.13  AC symbols                              0
% 3.54/1.13  
% 3.54/1.13  ------ Schedule EPR non Horn non eq is on
% 3.54/1.13  
% 3.54/1.13  ------ no equalities: superposition off 
% 3.54/1.13  
% 3.54/1.13  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.54/1.13  
% 3.54/1.13  
% 3.54/1.13  ------ 
% 3.54/1.13  Current options:
% 3.54/1.13  ------ 
% 3.54/1.13  
% 3.54/1.13  ------ Input Options
% 3.54/1.13  
% 3.54/1.13  --out_options                           all
% 3.54/1.13  --tptp_safe_out                         true
% 3.54/1.13  --problem_path                          ""
% 3.54/1.13  --include_path                          ""
% 3.54/1.13  --clausifier                            res/vclausify_rel
% 3.54/1.13  --clausifier_options                    --mode clausify -t 101.67 -updr off
% 3.54/1.13  --stdin                                 false
% 3.54/1.13  --proof_out                             true
% 3.54/1.13  --proof_dot_file                        ""
% 3.54/1.13  --proof_reduce_dot                      []
% 3.54/1.13  --suppress_sat_res                      false
% 3.54/1.13  --suppress_unsat_res                    true
% 3.54/1.13  --stats_out                             none
% 3.54/1.13  --stats_mem                             false
% 3.54/1.13  --theory_stats_out                      false
% 3.54/1.13  
% 3.54/1.13  ------ General Options
% 3.54/1.13  
% 3.54/1.13  --fof                                   false
% 3.54/1.13  --time_out_real                         305.
% 3.54/1.13  --time_out_virtual                      -1.
% 3.54/1.13  --rnd_seed                              13
% 3.54/1.13  --symbol_type_check                     false
% 3.54/1.13  --clausify_out                          false
% 3.54/1.13  --sig_cnt_out                           false
% 3.54/1.13  --trig_cnt_out                          false
% 3.54/1.13  --trig_cnt_out_tolerance                1.
% 3.54/1.13  --trig_cnt_out_sk_spl                   false
% 3.54/1.13  --abstr_cl_out                          false
% 3.54/1.13  
% 3.54/1.13  ------ Interactive Mode
% 3.54/1.13  
% 3.54/1.13  --interactive_mode                      false
% 3.54/1.13  --external_ip_address                   ""
% 3.54/1.13  --external_port                         0
% 3.54/1.13  
% 3.54/1.13  ------ Global Options
% 3.54/1.13  
% 3.54/1.13  --schedule                              sat
% 3.54/1.13  --add_important_lit                     false
% 3.54/1.13  --prop_solver_per_cl                    500
% 3.54/1.13  --subs_bck_mult                         8
% 3.54/1.13  --min_unsat_core                        false
% 3.54/1.13  --soft_assumptions                      false
% 3.54/1.13  --soft_lemma_size                       3
% 3.54/1.13  --prop_impl_unit_size                   0
% 3.54/1.13  --prop_impl_unit                        []
% 3.54/1.13  --share_sel_clauses                     true
% 3.54/1.13  --reset_solvers                         false
% 3.54/1.13  --bc_imp_inh                            [conj_cone]
% 3.54/1.13  --conj_cone_tolerance                   3.
% 3.54/1.13  --extra_neg_conj                        none
% 3.54/1.13  --large_theory_mode                     true
% 3.54/1.13  --prolific_symb_bound                   200
% 3.54/1.13  --lt_threshold                          2000
% 3.54/1.13  --clause_weak_htbl                      true
% 3.54/1.13  --gc_record_bc_elim                     false
% 3.54/1.13  
% 3.54/1.13  ------ Preprocessing Options
% 3.54/1.13  
% 3.54/1.13  --preprocessing_flag                    false
% 3.54/1.13  --time_out_prep_mult                    0.1
% 3.54/1.13  --splitting_mode                        input
% 3.54/1.13  --splitting_grd                         true
% 3.54/1.13  --splitting_cvd                         false
% 3.54/1.13  --splitting_cvd_svl                     false
% 3.54/1.13  --splitting_nvd                         32
% 3.54/1.13  --sub_typing                            false
% 3.54/1.13  --prep_eq_flat_conj                     false
% 3.54/1.13  --prep_ineq_split                       false
% 3.54/1.13  --prep_eq_flat_all_gr                   false
% 3.54/1.13  --prep_gs_sim                           true
% 3.54/1.13  --prep_unflatten                        true
% 3.54/1.13  --prep_res_sim                          true
% 3.54/1.13  --prep_sup_sim_all                      true
% 3.54/1.13  --prep_sup_sim_sup                      false
% 3.54/1.13  --prep_upred                            true
% 3.54/1.13  --prep_well_definedness                 true
% 3.54/1.13  --prep_sem_filter                       exhaustive
% 3.54/1.13  --prep_sem_filter_out                   false
% 3.54/1.13  --pred_elim                             true
% 3.54/1.13  --res_sim_input                         true
% 3.54/1.13  --eq_ax_congr_red                       true
% 3.54/1.13  --pure_diseq_elim                       true
% 3.54/1.13  --brand_transform                       false
% 3.54/1.13  --non_eq_to_eq                          false
% 3.54/1.13  --prep_eq_proxy                         false
% 3.54/1.13  --prep_def_merge                        true
% 3.54/1.13  --prep_def_merge_prop_impl              false
% 3.54/1.13  --prep_def_merge_mbd                    true
% 3.54/1.13  --prep_def_merge_tr_red                 false
% 3.54/1.13  --prep_def_merge_tr_cl                  false
% 3.54/1.13  --smt_preprocessing                     false
% 3.54/1.13  --smt_ac_axioms                         fast
% 3.54/1.13  --preprocessed_out                      false
% 3.54/1.13  --preprocessed_stats                    false
% 3.54/1.13  
% 3.54/1.13  ------ Abstraction refinement Options
% 3.54/1.13  
% 3.54/1.13  --abstr_ref                             []
% 3.54/1.13  --abstr_ref_prep                        false
% 3.54/1.13  --abstr_ref_until_sat                   false
% 3.54/1.13  --abstr_ref_sig_restrict                funpre
% 3.54/1.13  --abstr_ref_af_restrict_to_split_sk     false
% 3.54/1.13  --abstr_ref_under                       []
% 3.54/1.13  
% 3.54/1.13  ------ SAT Options
% 3.54/1.13  
% 3.54/1.13  --sat_mode                              false
% 3.54/1.13  --sat_fm_restart_options                ""
% 3.54/1.13  --sat_gr_def                            false
% 3.54/1.13  --sat_epr_types                         true
% 3.54/1.13  --sat_non_cyclic_types                  false
% 3.54/1.13  --sat_finite_models                     false
% 3.54/1.13  --sat_fm_lemmas                         false
% 3.54/1.13  --sat_fm_prep                           false
% 3.54/1.13  --sat_fm_uc_incr                        true
% 3.54/1.13  --sat_out_model                         pos
% 3.54/1.13  --sat_out_clauses                       false
% 3.54/1.13  
% 3.54/1.13  ------ QBF Options
% 3.54/1.13  
% 3.54/1.13  --qbf_mode                              false
% 3.54/1.13  --qbf_elim_univ                         false
% 3.54/1.13  --qbf_dom_inst                          none
% 3.54/1.13  --qbf_dom_pre_inst                      false
% 3.54/1.13  --qbf_sk_in                             false
% 3.54/1.13  --qbf_pred_elim                         true
% 3.54/1.13  --qbf_split                             512
% 3.54/1.13  
% 3.54/1.13  ------ BMC1 Options
% 3.54/1.13  
% 3.54/1.13  --bmc1_incremental                      false
% 3.54/1.13  --bmc1_axioms                           reachable_all
% 3.54/1.13  --bmc1_min_bound                        0
% 3.54/1.13  --bmc1_max_bound                        -1
% 3.54/1.13  --bmc1_max_bound_default                -1
% 3.54/1.13  --bmc1_symbol_reachability              true
% 3.54/1.13  --bmc1_property_lemmas                  false
% 3.54/1.13  --bmc1_k_induction                      false
% 3.54/1.13  --bmc1_non_equiv_states                 false
% 3.54/1.13  --bmc1_deadlock                         false
% 3.54/1.13  --bmc1_ucm                              false
% 3.54/1.13  --bmc1_add_unsat_core                   none
% 3.54/1.13  --bmc1_unsat_core_children              false
% 3.54/1.13  --bmc1_unsat_core_extrapolate_axioms    false
% 3.54/1.13  --bmc1_out_stat                         full
% 3.54/1.13  --bmc1_ground_init                      false
% 3.54/1.13  --bmc1_pre_inst_next_state              false
% 3.54/1.13  --bmc1_pre_inst_state                   false
% 3.54/1.13  --bmc1_pre_inst_reach_state             false
% 3.54/1.13  --bmc1_out_unsat_core                   false
% 3.54/1.13  --bmc1_aig_witness_out                  false
% 3.54/1.13  --bmc1_verbose                          false
% 3.54/1.13  --bmc1_dump_clauses_tptp                false
% 3.54/1.13  --bmc1_dump_unsat_core_tptp             false
% 3.54/1.13  --bmc1_dump_file                        -
% 3.54/1.13  --bmc1_ucm_expand_uc_limit              128
% 3.54/1.13  --bmc1_ucm_n_expand_iterations          6
% 3.54/1.13  --bmc1_ucm_extend_mode                  1
% 3.54/1.13  --bmc1_ucm_init_mode                    2
% 3.54/1.13  --bmc1_ucm_cone_mode                    none
% 3.54/1.13  --bmc1_ucm_reduced_relation_type        0
% 3.54/1.13  --bmc1_ucm_relax_model                  4
% 3.54/1.13  --bmc1_ucm_full_tr_after_sat            true
% 3.54/1.13  --bmc1_ucm_expand_neg_assumptions       false
% 3.54/1.13  --bmc1_ucm_layered_model                none
% 3.54/1.13  --bmc1_ucm_max_lemma_size               10
% 3.54/1.13  
% 3.54/1.13  ------ AIG Options
% 3.54/1.13  
% 3.54/1.13  --aig_mode                              false
% 3.54/1.13  
% 3.54/1.13  ------ Instantiation Options
% 3.54/1.13  
% 3.54/1.13  --instantiation_flag                    true
% 3.54/1.13  --inst_sos_flag                         false
% 3.54/1.13  --inst_sos_phase                        true
% 3.54/1.13  --inst_sos_sth_lit_sel                  [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 3.54/1.13  --inst_lit_sel                          [+prop;+num_symb;-sign;+num_var]
% 3.54/1.13  --inst_lit_sel_side                     num_symb
% 3.54/1.13  --inst_solver_per_active                1400
% 3.54/1.13  --inst_solver_calls_frac                1.
% 3.54/1.13  --inst_to_smt_solver                    true
% 3.54/1.13  --inst_passive_queue_type               priority_queues
% 3.54/1.13  --inst_passive_queues                   [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 3.54/1.13  --inst_passive_queues_freq              [25;2]
% 3.54/1.13  --inst_dismatching                      true
% 3.54/1.13  --inst_eager_unprocessed_to_passive     true
% 3.54/1.13  --inst_unprocessed_bound                1000
% 3.54/1.13  --inst_prop_sim_given                   false
% 3.54/1.13  --inst_prop_sim_new                     false
% 3.54/1.13  --inst_subs_new                         false
% 3.54/1.13  --inst_eq_res_simp                      false
% 3.54/1.13  --inst_subs_given                       false
% 3.54/1.13  --inst_orphan_elimination               true
% 3.54/1.13  --inst_learning_loop_flag               true
% 3.54/1.13  --inst_learning_start                   3000
% 3.54/1.13  --inst_learning_factor                  2
% 3.54/1.13  --inst_start_prop_sim_after_learn       3
% 3.54/1.13  --inst_sel_renew                        solver
% 3.54/1.13  --inst_lit_activity_flag                true
% 3.54/1.13  --inst_restr_to_given                   false
% 3.54/1.13  --inst_activity_threshold               500
% 3.54/1.13  
% 3.54/1.13  ------ Resolution Options
% 3.54/1.13  
% 3.54/1.13  --resolution_flag                       false
% 3.54/1.13  --res_lit_sel                           adaptive
% 3.54/1.13  --res_lit_sel_side                      none
% 3.54/1.13  --res_ordering                          kbo
% 3.54/1.13  --res_to_prop_solver                    active
% 3.54/1.13  --res_prop_simpl_new                    false
% 3.54/1.13  --res_prop_simpl_given                  true
% 3.54/1.13  --res_to_smt_solver                     true
% 3.54/1.13  --res_passive_queue_type                priority_queues
% 3.54/1.13  --res_passive_queues                    [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.54/1.13  --res_passive_queues_freq               [15;5]
% 3.54/1.13  --res_forward_subs                      full
% 3.54/1.13  --res_backward_subs                     full
% 3.54/1.13  --res_forward_subs_resolution           true
% 3.54/1.13  --res_backward_subs_resolution          true
% 3.54/1.13  --res_orphan_elimination                true
% 3.54/1.13  --res_time_limit                        300.
% 3.54/1.13  
% 3.54/1.13  ------ Superposition Options
% 3.54/1.13  
% 3.54/1.13  --superposition_flag                    true
% 3.54/1.13  --sup_passive_queue_type                priority_queues
% 3.54/1.13  --sup_passive_queues                    [[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]]
% 3.54/1.13  --sup_passive_queues_freq               [8;1;4;4]
% 3.54/1.13  --twee_lhs_weight                       4
% 3.54/1.13  --sup_set_join                          false
% 3.54/1.13  --sup_set_join_goals                    true
% 3.54/1.13  --sup_set_join_limit                    1000
% 3.54/1.13  --demod_completeness_check              fast
% 3.54/1.13  --demod_use_ground                      true
% 3.54/1.13  --sup_unprocessed_bound                 0
% 3.54/1.13  --sup_to_prop_solver                    passive
% 3.54/1.13  --sup_prop_simpl_new                    true
% 3.54/1.13  --sup_prop_simpl_given                  true
% 3.54/1.13  --sup_fun_splitting                     false
% 3.54/1.13  --sup_iter_deepening                    2
% 3.54/1.13  --sup_restarts_mult                     12
% 3.54/1.13  --sup_score                             sim_d_gen
% 3.54/1.13  --sup_share_score_frac                  0.2
% 3.54/1.13  --sup_share_max_num_cl                  500
% 3.54/1.13  --sup_ordering                          kbo
% 3.54/1.13  --sup_symb_ordering                     invfreq
% 3.54/1.13  --sup_term_weight                       default
% 3.54/1.13  
% 3.54/1.13  ------ Superposition Simplification Setup
% 3.54/1.13  
% 3.54/1.13  --sup_indices_passive                   [LightNormIndex;FwDemodIndex]
% 3.54/1.13  --sup_full_triv                         [SMTSimplify;PropSubs]
% 3.54/1.13  --sup_full_fw                           [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 3.54/1.13  --sup_full_bw                           [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 3.54/1.13  --sup_immed_triv                        []
% 3.54/1.13  --sup_immed_fw_main                     [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 3.54/1.13  --sup_immed_fw_immed                    [ACNormalisation;FwUnitSubsAndRes]
% 3.54/1.13  --sup_immed_bw_main                     [BwUnitSubsAndRes;BwDemod]
% 3.54/1.13  --sup_immed_bw_immed                    [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 3.54/1.13  --sup_input_triv                        [Unflattening;SMTSimplify]
% 3.54/1.13  --sup_input_fw                          [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 3.54/1.13  --sup_input_bw                          [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 3.54/1.13  --sup_full_fixpoint                     true
% 3.54/1.13  --sup_main_fixpoint                     true
% 3.54/1.13  --sup_immed_fixpoint                    false
% 3.54/1.13  --sup_input_fixpoint                    true
% 3.54/1.13  --sup_cache_sim                         none
% 3.54/1.13  --sup_smt_interval                      500
% 3.54/1.13  --sup_bw_gjoin_interval                 0
% 3.54/1.13  
% 3.54/1.13  ------ Combination Options
% 3.54/1.13  
% 3.54/1.13  --comb_mode                             clause_based
% 3.54/1.13  --comb_inst_mult                        5
% 3.54/1.13  --comb_res_mult                         1
% 3.54/1.13  --comb_sup_mult                         1
% 3.54/1.13  --comb_sup_deep_mult                    1
% 3.54/1.13  
% 3.54/1.13  ------ Debug Options
% 3.54/1.13  
% 3.54/1.13  --dbg_backtrace                         false
% 3.54/1.13  --dbg_dump_prop_clauses                 false
% 3.54/1.13  --dbg_dump_prop_clauses_file            -
% 3.54/1.13  --dbg_out_stat                          false
% 3.54/1.13  --dbg_just_parse                        false
% 3.54/1.13  
% 3.54/1.13  
% 3.54/1.13  
% 3.54/1.13  
% 3.54/1.13  ------ Proving...
% 3.54/1.13  
% 3.54/1.13  
% 3.54/1.13  % SZS status Satisfiable for theBenchmark.p
% 3.54/1.13  
% 3.54/1.13  ------ Building Model...Done
% 3.54/1.13  
% 3.54/1.13  %------ The model is defined over ground terms (initial term algebra).
% 3.54/1.13  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 3.54/1.13  %------ where \phi is a formula over the term algebra.
% 3.54/1.13  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 3.54/1.13  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 3.54/1.13  %------ See help for --sat_out_model for different model outputs.
% 3.54/1.13  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 3.54/1.13  %------ where the first argument stands for the sort ($i in the unsorted case)
% 3.54/1.13  % SZS output start Model for theBenchmark.p
% See solution above
% 3.54/1.14  
%------------------------------------------------------------------------------