%------------------------------------------------------------------------------
% File : iProver-SAT---3.9.4
% Problem : SYN441+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT
% Computer : n011.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 03:46:34 PM UTC 2026
% Result : CounterSatisfiable 4.13s 1.18s
% Output : Model 4.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
%------ Positive definition of hskp0
fof(lit_def,axiom,
( hskp0
<=> $false ) ).
%------ Positive definition of ndr1_0
fof(lit_def_001,axiom,
( ndr1_0
<=> $true ) ).
%------ Positive definition of c1_1
fof(lit_def_002,axiom,
! [X0] :
( c1_1(X0)
<=> ( X0 != iProver_Domain_i_3
& X0 != iProver_Domain_i_2
& X0 != iProver_Domain_i_1 ) ) ).
%------ Positive definition of c2_1
fof(lit_def_003,axiom,
! [X0] :
( c2_1(X0)
<=> X0 = iProver_Domain_i_2 ) ).
%------ Positive definition of c3_1
fof(lit_def_004,axiom,
! [X0] :
( c3_1(X0)
<=> ( X0 = iProver_Domain_i_3
| X0 = iProver_Domain_i_2
| ( X0 != iProver_Domain_i_3
& X0 != iProver_Domain_i_2
& X0 != iProver_Domain_i_1 ) ) ) ).
%------ Positive definition of hskp1
fof(lit_def_005,axiom,
( hskp1
<=> $false ) ).
%------ Positive definition of c0_1
fof(lit_def_006,axiom,
! [X0] :
( c0_1(X0)
<=> ( X0 = iProver_Domain_i_3
| X0 = iProver_Domain_i_1 ) ) ).
%------ Positive definition of hskp2
fof(lit_def_007,axiom,
( hskp2
<=> $true ) ).
%------ Positive definition of hskp3
fof(lit_def_008,axiom,
( hskp3
<=> $true ) ).
%------ Positive definition of hskp4
fof(lit_def_009,axiom,
( hskp4
<=> $true ) ).
%------ Positive definition of hskp5
fof(lit_def_010,axiom,
( hskp5
<=> $false ) ).
%------ Positive definition of hskp6
fof(lit_def_011,axiom,
( hskp6
<=> $false ) ).
%------ Positive definition of hskp7
fof(lit_def_012,axiom,
( hskp7
<=> $true ) ).
%------ Positive definition of hskp8
fof(lit_def_013,axiom,
( hskp8
<=> $false ) ).
%------ Positive definition of hskp9
fof(lit_def_014,axiom,
( hskp9
<=> $false ) ).
%------ Positive definition of hskp10
fof(lit_def_015,axiom,
( hskp10
<=> $true ) ).
%------ Positive definition of hskp11
fof(lit_def_016,axiom,
( hskp11
<=> $true ) ).
%------ Positive definition of hskp12
fof(lit_def_017,axiom,
( hskp12
<=> $false ) ).
%------ Positive definition of hskp13
fof(lit_def_018,axiom,
( hskp13
<=> $false ) ).
%------ Positive definition of hskp14
fof(lit_def_019,axiom,
( hskp14
<=> $false ) ).
%------ Positive definition of hskp15
fof(lit_def_020,axiom,
( hskp15
<=> $true ) ).
%------ Positive definition of hskp16
fof(lit_def_021,axiom,
( hskp16
<=> $false ) ).
%------ Positive definition of hskp17
fof(lit_def_022,axiom,
( hskp17
<=> $false ) ).
%------ Positive definition of hskp18
fof(lit_def_023,axiom,
( hskp18
<=> $false ) ).
%------ Positive definition of hskp19
fof(lit_def_024,axiom,
( hskp19
<=> $true ) ).
%------ Positive definition of hskp20
fof(lit_def_025,axiom,
( hskp20
<=> $false ) ).
%------ Positive definition of hskp21
fof(lit_def_026,axiom,
( hskp21
<=> $true ) ).
%------ Positive definition of hskp22
fof(lit_def_027,axiom,
( hskp22
<=> $false ) ).
%------ Positive definition of hskp23
fof(lit_def_028,axiom,
( hskp23
<=> $true ) ).
%------ Positive definition of hskp24
fof(lit_def_029,axiom,
( hskp24
<=> $true ) ).
%------ Positive definition of hskp25
fof(lit_def_030,axiom,
( hskp25
<=> $false ) ).
%------ Positive definition of hskp26
fof(lit_def_031,axiom,
( hskp26
<=> $false ) ).
%------ Positive definition of hskp27
fof(lit_def_032,axiom,
( hskp27
<=> $true ) ).
%------ Positive definition of hskp28
fof(lit_def_033,axiom,
( hskp28
<=> $false ) ).
%------ Positive definition of hskp29
fof(lit_def_034,axiom,
( hskp29
<=> $false ) ).
%------ Positive definition of hskp30
fof(lit_def_035,axiom,
( hskp30
<=> $false ) ).
%------ Positive definition of hskp31
fof(lit_def_036,axiom,
( hskp31
<=> $true ) ).
%------ Positive definition of hskp32
fof(lit_def_037,axiom,
( hskp32
<=> $false ) ).
%------ Positive definition of hskp33
fof(lit_def_038,axiom,
( hskp33
<=> $false ) ).
%------ Positive definition of hskp34
fof(lit_def_039,axiom,
( hskp34
<=> $false ) ).
%------ Positive definition of hskp35
fof(lit_def_040,axiom,
( hskp35
<=> $false ) ).
%------ Positive definition of hskp36
fof(lit_def_041,axiom,
( hskp36
<=> $false ) ).
%------ Positive definition of hskp37
fof(lit_def_042,axiom,
( hskp37
<=> $false ) ).
%------ Positive definition of hskp38
fof(lit_def_043,axiom,
( hskp38
<=> $true ) ).
%------ Positive definition of hskp39
fof(lit_def_044,axiom,
( hskp39
<=> $false ) ).
%------ Positive definition of hskp40
fof(lit_def_045,axiom,
( hskp40
<=> $false ) ).
%------ Positive definition of hskp41
fof(lit_def_046,axiom,
( hskp41
<=> $true ) ).
%------ Positive definition of hskp42
fof(lit_def_047,axiom,
( hskp42
<=> $false ) ).
%------ Positive definition of hskp43
fof(lit_def_048,axiom,
( hskp43
<=> $true ) ).
%------ Positive definition of hskp44
fof(lit_def_049,axiom,
( hskp44
<=> $true ) ).
%------ Positive definition of hskp45
fof(lit_def_050,axiom,
( hskp45
<=> $false ) ).
%------ Positive definition of hskp46
fof(lit_def_051,axiom,
( hskp46
<=> $true ) ).
%------ Positive definition of hskp47
fof(lit_def_052,axiom,
( hskp47
<=> $true ) ).
%------ Positive definition of hskp48
fof(lit_def_053,axiom,
( hskp48
<=> $false ) ).
%------ Positive definition of hskp49
fof(lit_def_054,axiom,
( hskp49
<=> $false ) ).
%------ Positive definition of hskp50
fof(lit_def_055,axiom,
( hskp50
<=> $false ) ).
%------ Positive definition of hskp51
fof(lit_def_056,axiom,
( hskp51
<=> $false ) ).
%------ Positive definition of hskp52
fof(lit_def_057,axiom,
( hskp52
<=> $false ) ).
%------ Positive definition of hskp53
fof(lit_def_058,axiom,
( hskp53
<=> $false ) ).
%------ Positive definition of hskp54
fof(lit_def_059,axiom,
( hskp54
<=> $false ) ).
%------ Positive definition of hskp55
fof(lit_def_060,axiom,
( hskp55
<=> $false ) ).
%------ Positive definition of hskp56
fof(lit_def_061,axiom,
( hskp56
<=> $false ) ).
%------ Positive definition of hskp57
fof(lit_def_062,axiom,
( hskp57
<=> $true ) ).
%------ Positive definition of hskp58
fof(lit_def_063,axiom,
( hskp58
<=> $false ) ).
%------ Positive definition of hskp59
fof(lit_def_064,axiom,
( hskp59
<=> $false ) ).
%------ Positive definition of hskp60
fof(lit_def_065,axiom,
( hskp60
<=> $false ) ).
%------ Positive definition of hskp61
fof(lit_def_066,axiom,
( hskp61
<=> $false ) ).
%------ Positive definition of hskp62
fof(lit_def_067,axiom,
( hskp62
<=> $false ) ).
%------ Positive definition of hskp63
fof(lit_def_068,axiom,
( hskp63
<=> $true ) ).
%------ Positive definition of hskp64
fof(lit_def_069,axiom,
( hskp64
<=> $false ) ).
%------ Positive definition of hskp65
fof(lit_def_070,axiom,
( hskp65
<=> $false ) ).
%------ Positive definition of hskp66
fof(lit_def_071,axiom,
( hskp66
<=> $true ) ).
%------ Positive definition of hskp67
fof(lit_def_072,axiom,
( hskp67
<=> $true ) ).
%------ Positive definition of hskp68
fof(lit_def_073,axiom,
( hskp68
<=> $false ) ).
%------ Positive definition of hskp69
fof(lit_def_074,axiom,
( hskp69
<=> $false ) ).
%------ Positive definition of hskp70
fof(lit_def_075,axiom,
( hskp70
<=> $false ) ).
%------ Positive definition of hskp71
fof(lit_def_076,axiom,
( hskp71
<=> $false ) ).
%------ Positive definition of hskp72
fof(lit_def_077,axiom,
( hskp72
<=> $false ) ).
%------ Positive definition of hskp73
fof(lit_def_078,axiom,
( hskp73
<=> $false ) ).
%------ Positive definition of hskp74
fof(lit_def_079,axiom,
( hskp74
<=> $false ) ).
%------ Positive definition of hskp75
fof(lit_def_080,axiom,
( hskp75
<=> $false ) ).
%------ Positive definition of iProver_Flat_a1818
fof(lit_def_081,axiom,
! [X0] :
( iProver_Flat_a1818(X0)
<=> X0 = iProver_Domain_i_3 ) ).
%------ Positive definition of iProver_Flat_a1824
fof(lit_def_082,axiom,
! [X0] :
( iProver_Flat_a1824(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1826
fof(lit_def_083,axiom,
! [X0] :
( iProver_Flat_a1826(X0)
<=> X0 = iProver_Domain_i_3 ) ).
%------ Positive definition of iProver_Flat_a1828
fof(lit_def_084,axiom,
! [X0] :
( iProver_Flat_a1828(X0)
<=> X0 = iProver_Domain_i_2 ) ).
%------ Positive definition of iProver_Flat_a1829
fof(lit_def_085,axiom,
! [X0] :
( iProver_Flat_a1829(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1831
fof(lit_def_086,axiom,
! [X0] :
( iProver_Flat_a1831(X0)
<=> X0 = iProver_Domain_i_2 ) ).
%------ Positive definition of iProver_Flat_a1832
fof(lit_def_087,axiom,
! [X0] :
( iProver_Flat_a1832(X0)
<=> X0 = iProver_Domain_i_3 ) ).
%------ Positive definition of iProver_Flat_a1833
fof(lit_def_088,axiom,
! [X0] :
( iProver_Flat_a1833(X0)
<=> X0 = iProver_Domain_i_3 ) ).
%------ Positive definition of iProver_Flat_a1837
fof(lit_def_089,axiom,
! [X0] :
( iProver_Flat_a1837(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1840
fof(lit_def_090,axiom,
! [X0] :
( iProver_Flat_a1840(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1841
fof(lit_def_091,axiom,
! [X0] :
( iProver_Flat_a1841(X0)
<=> X0 = iProver_Domain_i_2 ) ).
%------ Positive definition of iProver_Flat_a1843
fof(lit_def_092,axiom,
! [X0] :
( iProver_Flat_a1843(X0)
<=> X0 = iProver_Domain_i_4 ) ).
%------ Positive definition of iProver_Flat_a1844
fof(lit_def_093,axiom,
! [X0] :
( iProver_Flat_a1844(X0)
<=> X0 = iProver_Domain_i_2 ) ).
%------ Positive definition of iProver_Flat_a1846
fof(lit_def_094,axiom,
! [X0] :
( iProver_Flat_a1846(X0)
<=> X0 = iProver_Domain_i_3 ) ).
%------ Positive definition of iProver_Flat_a1847
fof(lit_def_095,axiom,
! [X0] :
( iProver_Flat_a1847(X0)
<=> X0 = iProver_Domain_i_3 ) ).
%------ Positive definition of iProver_Flat_a1850
fof(lit_def_096,axiom,
! [X0] :
( iProver_Flat_a1850(X0)
<=> X0 = iProver_Domain_i_2 ) ).
%------ Positive definition of iProver_Flat_a1851
fof(lit_def_097,axiom,
! [X0] :
( iProver_Flat_a1851(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1853
fof(lit_def_098,axiom,
! [X0] :
( iProver_Flat_a1853(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1854
fof(lit_def_099,axiom,
! [X0] :
( iProver_Flat_a1854(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1855
fof(lit_def_100,axiom,
! [X0] :
( iProver_Flat_a1855(X0)
<=> X0 = iProver_Domain_i_4 ) ).
%------ Positive definition of iProver_Flat_a1856
fof(lit_def_101,axiom,
! [X0] :
( iProver_Flat_a1856(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1857
fof(lit_def_102,axiom,
! [X0] :
( iProver_Flat_a1857(X0)
<=> X0 = iProver_Domain_i_2 ) ).
%------ Positive definition of iProver_Flat_a1858
fof(lit_def_103,axiom,
! [X0] :
( iProver_Flat_a1858(X0)
<=> X0 = iProver_Domain_i_3 ) ).
%------ Positive definition of iProver_Flat_a1859
fof(lit_def_104,axiom,
! [X0] :
( iProver_Flat_a1859(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1862
fof(lit_def_105,axiom,
! [X0] :
( iProver_Flat_a1862(X0)
<=> X0 = iProver_Domain_i_3 ) ).
%------ Positive definition of iProver_Flat_a1864
fof(lit_def_106,axiom,
! [X0] :
( iProver_Flat_a1864(X0)
<=> X0 = iProver_Domain_i_4 ) ).
%------ Positive definition of iProver_Flat_a1866
fof(lit_def_107,axiom,
! [X0] :
( iProver_Flat_a1866(X0)
<=> X0 = iProver_Domain_i_2 ) ).
%------ Positive definition of iProver_Flat_a1869
fof(lit_def_108,axiom,
! [X0] :
( iProver_Flat_a1869(X0)
<=> X0 = iProver_Domain_i_3 ) ).
%------ Positive definition of iProver_Flat_a1870
fof(lit_def_109,axiom,
! [X0] :
( iProver_Flat_a1870(X0)
<=> X0 = iProver_Domain_i_3 ) ).
%------ Positive definition of iProver_Flat_a1872
fof(lit_def_110,axiom,
! [X0] :
( iProver_Flat_a1872(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1873
fof(lit_def_111,axiom,
! [X0] :
( iProver_Flat_a1873(X0)
<=> X0 = iProver_Domain_i_4 ) ).
%------ Positive definition of iProver_Flat_a1875
fof(lit_def_112,axiom,
! [X0] :
( iProver_Flat_a1875(X0)
<=> X0 = iProver_Domain_i_2 ) ).
%------ Positive definition of iProver_Flat_a1876
fof(lit_def_113,axiom,
! [X0] :
( iProver_Flat_a1876(X0)
<=> X0 = iProver_Domain_i_3 ) ).
%------ Positive definition of iProver_Flat_a1881
fof(lit_def_114,axiom,
! [X0] :
( iProver_Flat_a1881(X0)
<=> X0 = iProver_Domain_i_4 ) ).
%------ Positive definition of iProver_Flat_a1882
fof(lit_def_115,axiom,
! [X0] :
( iProver_Flat_a1882(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1890
fof(lit_def_116,axiom,
! [X0] :
( iProver_Flat_a1890(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1891
fof(lit_def_117,axiom,
! [X0] :
( iProver_Flat_a1891(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1892
fof(lit_def_118,axiom,
! [X0] :
( iProver_Flat_a1892(X0)
<=> X0 = iProver_Domain_i_4 ) ).
%------ Positive definition of iProver_Flat_a1895
fof(lit_def_119,axiom,
! [X0] :
( iProver_Flat_a1895(X0)
<=> X0 = iProver_Domain_i_4 ) ).
%------ Positive definition of iProver_Flat_a1896
fof(lit_def_120,axiom,
! [X0] :
( iProver_Flat_a1896(X0)
<=> X0 = iProver_Domain_i_2 ) ).
%------ Positive definition of iProver_Flat_a1900
fof(lit_def_121,axiom,
! [X0] :
( iProver_Flat_a1900(X0)
<=> X0 = iProver_Domain_i_3 ) ).
%------ Positive definition of iProver_Flat_a1901
fof(lit_def_122,axiom,
! [X0] :
( iProver_Flat_a1901(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1819
fof(lit_def_123,axiom,
! [X0] :
( iProver_Flat_a1819(X0)
<=> X0 = iProver_Domain_i_4 ) ).
%------ Positive definition of iProver_Flat_a1820
fof(lit_def_124,axiom,
! [X0] :
( iProver_Flat_a1820(X0)
<=> X0 = iProver_Domain_i_2 ) ).
%------ Positive definition of iProver_Flat_a1821
fof(lit_def_125,axiom,
! [X0] :
( iProver_Flat_a1821(X0)
<=> X0 = iProver_Domain_i_3 ) ).
%------ Positive definition of iProver_Flat_a1822
fof(lit_def_126,axiom,
! [X0] :
( iProver_Flat_a1822(X0)
<=> X0 = iProver_Domain_i_4 ) ).
%------ Positive definition of iProver_Flat_a1823
fof(lit_def_127,axiom,
! [X0] :
( iProver_Flat_a1823(X0)
<=> X0 = iProver_Domain_i_2 ) ).
%------ Positive definition of iProver_Flat_a1825
fof(lit_def_128,axiom,
! [X0] :
( iProver_Flat_a1825(X0)
<=> X0 = iProver_Domain_i_2 ) ).
%------ Positive definition of iProver_Flat_a1827
fof(lit_def_129,axiom,
! [X0] :
( iProver_Flat_a1827(X0)
<=> X0 = iProver_Domain_i_3 ) ).
%------ Positive definition of iProver_Flat_a1830
fof(lit_def_130,axiom,
! [X0] :
( iProver_Flat_a1830(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1834
fof(lit_def_131,axiom,
! [X0] :
( iProver_Flat_a1834(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1835
fof(lit_def_132,axiom,
! [X0] :
( iProver_Flat_a1835(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1836
fof(lit_def_133,axiom,
! [X0] :
( iProver_Flat_a1836(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1838
fof(lit_def_134,axiom,
! [X0] :
( iProver_Flat_a1838(X0)
<=> X0 = iProver_Domain_i_4 ) ).
%------ Positive definition of iProver_Flat_a1839
fof(lit_def_135,axiom,
! [X0] :
( iProver_Flat_a1839(X0)
<=> X0 = iProver_Domain_i_3 ) ).
%------ Positive definition of iProver_Flat_a1842
fof(lit_def_136,axiom,
! [X0] :
( iProver_Flat_a1842(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1845
fof(lit_def_137,axiom,
! [X0] :
( iProver_Flat_a1845(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1848
fof(lit_def_138,axiom,
! [X0] :
( iProver_Flat_a1848(X0)
<=> X0 = iProver_Domain_i_2 ) ).
%------ Positive definition of iProver_Flat_a1849
fof(lit_def_139,axiom,
! [X0] :
( iProver_Flat_a1849(X0)
<=> X0 = iProver_Domain_i_4 ) ).
%------ Positive definition of iProver_Flat_a1852
fof(lit_def_140,axiom,
! [X0] :
( iProver_Flat_a1852(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1860
fof(lit_def_141,axiom,
! [X0] :
( iProver_Flat_a1860(X0)
<=> X0 = iProver_Domain_i_3 ) ).
%------ Positive definition of iProver_Flat_a1863
fof(lit_def_142,axiom,
! [X0] :
( iProver_Flat_a1863(X0)
<=> X0 = iProver_Domain_i_4 ) ).
%------ Positive definition of iProver_Flat_a1867
fof(lit_def_143,axiom,
! [X0] :
( iProver_Flat_a1867(X0)
<=> X0 = iProver_Domain_i_3 ) ).
%------ Positive definition of iProver_Flat_a1868
fof(lit_def_144,axiom,
! [X0] :
( iProver_Flat_a1868(X0)
<=> X0 = iProver_Domain_i_4 ) ).
%------ Positive definition of iProver_Flat_a1874
fof(lit_def_145,axiom,
! [X0] :
( iProver_Flat_a1874(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1878
fof(lit_def_146,axiom,
! [X0] :
( iProver_Flat_a1878(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1879
fof(lit_def_147,axiom,
! [X0] :
( iProver_Flat_a1879(X0)
<=> X0 = iProver_Domain_i_4 ) ).
%------ Positive definition of iProver_Flat_a1885
fof(lit_def_148,axiom,
! [X0] :
( iProver_Flat_a1885(X0)
<=> X0 = iProver_Domain_i_2 ) ).
%------ Positive definition of iProver_Flat_a1886
fof(lit_def_149,axiom,
! [X0] :
( iProver_Flat_a1886(X0)
<=> X0 = iProver_Domain_i_4 ) ).
%------ Positive definition of iProver_Flat_a1887
fof(lit_def_150,axiom,
! [X0] :
( iProver_Flat_a1887(X0)
<=> X0 = iProver_Domain_i_4 ) ).
%------ Positive definition of iProver_Flat_a1889
fof(lit_def_151,axiom,
! [X0] :
( iProver_Flat_a1889(X0)
<=> X0 = iProver_Domain_i_4 ) ).
%------ Positive definition of iProver_Flat_a1894
fof(lit_def_152,axiom,
! [X0] :
( iProver_Flat_a1894(X0)
<=> X0 = iProver_Domain_i_4 ) ).
%------ Positive definition of iProver_Flat_a1897
fof(lit_def_153,axiom,
! [X0] :
( iProver_Flat_a1897(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------ Positive definition of iProver_Flat_a1898
fof(lit_def_154,axiom,
! [X0] :
( iProver_Flat_a1898(X0)
<=> X0 = iProver_Domain_i_2 ) ).
%------ Positive definition of iProver_Flat_a1899
fof(lit_def_155,axiom,
! [X0] :
( iProver_Flat_a1899(X0)
<=> X0 = iProver_Domain_i_3 ) ).
%------ Positive definition of iProver_Flat_a1902
fof(lit_def_156,axiom,
! [X0] :
( iProver_Flat_a1902(X0)
<=> X0 = iProver_Domain_i_1 ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN441+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT
% 0.10/0.37 % Computer : n011.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 01:11:28 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p SAT
% 0.10/0.40 Running model finding
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fnt_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 4.13/1.18 % SZS status Started for theBenchmark.p
% 4.13/1.18 % SZS status CounterSatisfiable for theBenchmark.p
% 4.13/1.18
% 4.13/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.13/1.18
% 4.13/1.18 ------ iProver source info
% 4.13/1.18
% 4.13/1.18 git: date: 2026-07-19 20:42:38 +0200
% 4.13/1.18 git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.13/1.18 git: non_committed_changes: false
% 4.13/1.18
% 4.13/1.18 ------ Parsing...
% 4.13/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.13/1.18 ------ Proving...
% 4.13/1.18 ------ Problem Properties
% 4.13/1.18
% 4.13/1.18
% 4.13/1.18 clauses 364
% 4.13/1.18 conjectures 364
% 4.13/1.18 EPR 364
% 4.13/1.18 Horn 304
% 4.13/1.18 unary 0
% 4.13/1.18 binary 304
% 4.13/1.18 lits 1032
% 4.13/1.18 lits eq 0
% 4.13/1.18 fd_pure 0
% 4.13/1.18 fd_pseudo 0
% 4.13/1.18 fd_cond 0
% 4.13/1.18 fd_pseudo_cond 0
% 4.13/1.18 AC symbols 0
% 4.13/1.18
% 4.13/1.18 ------ Input Options Time Limit: Unbounded
% 4.13/1.18
% 4.13/1.18
% 4.13/1.18 ------ Finite Models:
% 4.13/1.18
% 4.13/1.18 ------ lit_activity_flag true
% 4.13/1.18
% 4.13/1.18
% 4.13/1.18 ------ Trying domains of size >= : 1
% 4.13/1.18
% 4.13/1.18 ------ Trying domains of size >= : 2
% 4.13/1.18 ------
% 4.13/1.18 Current options:
% 4.13/1.18 ------
% 4.13/1.18
% 4.13/1.18 ------ Input Options
% 4.13/1.18
% 4.13/1.18 --out_options all
% 4.13/1.18 --tptp_safe_out true
% 4.13/1.18 --problem_path ""
% 4.13/1.18 --include_path ""
% 4.13/1.18 --clausifier res/vclausify_rel
% 4.13/1.18 --clausifier_options --mode clausify -t 101.66 -updr off
% 4.13/1.18 --stdin false
% 4.13/1.18 --proof_out true
% 4.13/1.18 --proof_dot_file ""
% 4.13/1.18 --proof_reduce_dot []
% 4.13/1.18 --suppress_sat_res false
% 4.13/1.18 --suppress_unsat_res true
% 4.13/1.18 --stats_out none
% 4.13/1.18 --stats_mem false
% 4.13/1.18 --theory_stats_out false
% 4.13/1.18
% 4.13/1.18 ------ General Options
% 4.13/1.18
% 4.13/1.18 --fof false
% 4.13/1.18 --time_out_real 304.98
% 4.13/1.18 --time_out_virtual -1.
% 4.13/1.18 --rnd_seed 13
% 4.13/1.18 --symbol_type_check false
% 4.13/1.18 --clausify_out false
% 4.13/1.18 --sig_cnt_out false
% 4.13/1.18 --trig_cnt_out false
% 4.13/1.18 --trig_cnt_out_tolerance 1.
% 4.13/1.18 --trig_cnt_out_sk_spl false
% 4.13/1.18 --abstr_cl_out false
% 4.13/1.18
% 4.13/1.18 ------ Interactive Mode
% 4.13/1.18
% 4.13/1.18 --interactive_mode false
% 4.13/1.18 --external_ip_address ""
% 4.13/1.18 --external_port 0
% 4.13/1.18
% 4.13/1.18 ------ Global Options
% 4.13/1.18
% 4.13/1.18 --schedule none
% 4.13/1.18 --add_important_lit false
% 4.13/1.18 --prop_solver_per_cl 500
% 4.13/1.18 --subs_bck_mult 8
% 4.13/1.18 --min_unsat_core false
% 4.13/1.18 --soft_assumptions false
% 4.13/1.18 --soft_lemma_size 3
% 4.13/1.18 --prop_impl_unit_size 0
% 4.13/1.18 --prop_impl_unit []
% 4.13/1.18 --share_sel_clauses true
% 4.13/1.18 --reset_solvers false
% 4.13/1.18 --bc_imp_inh [conj_cone]
% 4.13/1.18 --conj_cone_tolerance 3.
% 4.13/1.18 --extra_neg_conj none
% 4.13/1.18 --large_theory_mode true
% 4.13/1.18 --prolific_symb_bound 200
% 4.13/1.18 --lt_threshold 2000
% 4.13/1.18 --clause_weak_htbl true
% 4.13/1.18 --gc_record_bc_elim false
% 4.13/1.18
% 4.13/1.18 ------ Preprocessing Options
% 4.13/1.18
% 4.13/1.18 --preprocessing_flag false
% 4.13/1.18 --time_out_prep_mult 0.1
% 4.13/1.18 --splitting_mode input
% 4.13/1.18 --splitting_grd true
% 4.13/1.18 --splitting_cvd false
% 4.13/1.18 --splitting_cvd_svl false
% 4.13/1.18 --splitting_nvd 32
% 4.13/1.18 --sub_typing false
% 4.13/1.18 --prep_eq_flat_conj false
% 4.13/1.18 --prep_ineq_split false
% 4.13/1.18 --prep_eq_flat_all_gr false
% 4.13/1.18 --prep_gs_sim true
% 4.13/1.18 --prep_unflatten true
% 4.13/1.18 --prep_res_sim true
% 4.13/1.18 --prep_sup_sim_all true
% 4.13/1.18 --prep_sup_sim_sup false
% 4.13/1.18 --prep_upred true
% 4.13/1.18 --prep_well_definedness true
% 4.13/1.18 --prep_sem_filter exhaustive
% 4.13/1.18 --prep_sem_filter_out false
% 4.13/1.18 --pred_elim true
% 4.13/1.18 --res_sim_input true
% 4.13/1.18 --eq_ax_congr_red true
% 4.13/1.18 --pure_diseq_elim true
% 4.13/1.18 --brand_transform false
% 4.13/1.18 --non_eq_to_eq false
% 4.13/1.18 --prep_eq_proxy false
% 4.13/1.18 --prep_def_merge true
% 4.13/1.18 --prep_def_merge_prop_impl false
% 4.13/1.18 --prep_def_merge_mbd true
% 4.13/1.18 --prep_def_merge_tr_red false
% 4.13/1.18 --prep_def_merge_tr_cl false
% 4.13/1.18 --smt_preprocessing false
% 4.13/1.18 --smt_ac_axioms fast
% 4.13/1.18 --preprocessed_out false
% 4.13/1.18 --preprocessed_stats false
% 4.13/1.18
% 4.13/1.18 ------ Abstraction refinement Options
% 4.13/1.18
% 4.13/1.18 --abstr_ref []
% 4.13/1.18 --abstr_ref_prep false
% 4.13/1.18 --abstr_ref_until_sat false
% 4.13/1.18 --abstr_ref_sig_restrict funpre
% 4.13/1.18 --abstr_ref_af_restrict_to_split_sk false
% 4.13/1.18 --abstr_ref_under []
% 4.13/1.18
% 4.13/1.18 ------ SAT Options
% 4.13/1.18
% 4.13/1.18 --sat_mode true
% 4.13/1.18 --sat_fm_restart_options ""
% 4.13/1.18 --sat_gr_def false
% 4.13/1.18 --sat_epr_types false
% 4.13/1.18 --sat_non_cyclic_types false
% 4.13/1.18 --sat_finite_models true
% 4.13/1.18 --sat_fm_lemmas false
% 4.13/1.18 --sat_fm_prep false
% 4.13/1.18 --sat_fm_uc_incr false
% 4.13/1.18 --sat_out_model pos
% 4.13/1.18 --sat_out_clauses false
% 4.13/1.18
% 4.13/1.18 ------ QBF Options
% 4.13/1.18
% 4.13/1.18 --qbf_mode false
% 4.13/1.18 --qbf_elim_univ false
% 4.13/1.18 --qbf_dom_inst none
% 4.13/1.18 --qbf_dom_pre_inst false
% 4.13/1.18 --qbf_sk_in false
% 4.13/1.18 --qbf_pred_elim true
% 4.13/1.18 --qbf_split 512
% 4.13/1.18
% 4.13/1.18 ------ BMC1 Options
% 4.13/1.18
% 4.13/1.18 --bmc1_incremental false
% 4.13/1.18 --bmc1_axioms reachable_all
% 4.13/1.18 --bmc1_min_bound 0
% 4.13/1.18 --bmc1_max_bound -1
% 4.13/1.18 --bmc1_max_bound_default -1
% 4.13/1.18 --bmc1_symbol_reachability true
% 4.13/1.18 --bmc1_property_lemmas false
% 4.13/1.18 --bmc1_k_induction false
% 4.13/1.18 --bmc1_non_equiv_states false
% 4.13/1.18 --bmc1_deadlock false
% 4.13/1.18 --bmc1_ucm false
% 4.13/1.18 --bmc1_add_unsat_core none
% 4.13/1.18 --bmc1_unsat_core_children false
% 4.13/1.18 --bmc1_unsat_core_extrapolate_axioms false
% 4.13/1.18 --bmc1_out_stat full
% 4.13/1.18 --bmc1_ground_init false
% 4.13/1.18 --bmc1_pre_inst_next_state false
% 4.13/1.18 --bmc1_pre_inst_state false
% 4.13/1.18 --bmc1_pre_inst_reach_state false
% 4.13/1.18 --bmc1_out_unsat_core false
% 4.13/1.18 --bmc1_aig_witness_out false
% 4.13/1.18 --bmc1_verbose false
% 4.13/1.18 --bmc1_dump_clauses_tptp false
% 4.13/1.18 --bmc1_dump_unsat_core_tptp false
% 4.13/1.18 --bmc1_dump_file -
% 4.13/1.18 --bmc1_ucm_expand_uc_limit 128
% 4.13/1.18 --bmc1_ucm_n_expand_iterations 6
% 4.13/1.18 --bmc1_ucm_extend_mode 1
% 4.13/1.18 --bmc1_ucm_init_mode 2
% 4.13/1.18 --bmc1_ucm_cone_mode none
% 4.13/1.18 --bmc1_ucm_reduced_relation_type 0
% 4.13/1.18 --bmc1_ucm_relax_model 4
% 4.13/1.18 --bmc1_ucm_full_tr_after_sat true
% 4.13/1.18 --bmc1_ucm_expand_neg_assumptions false
% 4.13/1.18 --bmc1_ucm_layered_model none
% 4.13/1.18 --bmc1_ucm_max_lemma_size 10
% 4.13/1.18
% 4.13/1.18 ------ AIG Options
% 4.13/1.18
% 4.13/1.18 --aig_mode false
% 4.13/1.18
% 4.13/1.18 ------ Instantiation Options
% 4.13/1.18
% 4.13/1.18 --instantiation_flag true
% 4.13/1.18 --inst_sos_flag false
% 4.13/1.18 --inst_sos_phase true
% 4.13/1.18 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 4.13/1.18 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 4.13/1.18 --inst_lit_sel_side num_symb
% 4.13/1.18 --inst_solver_per_active 1400
% 4.13/1.18 --inst_solver_calls_frac 1.
% 4.13/1.18 --inst_to_smt_solver true
% 4.13/1.18 --inst_passive_queue_type priority_queues
% 4.13/1.18 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 4.13/1.18 --inst_passive_queues_freq [25;2]
% 4.13/1.18 --inst_dismatching true
% 4.13/1.18 --inst_eager_unprocessed_to_passive true
% 4.13/1.18 --inst_unprocessed_bound 1000
% 4.13/1.18 --inst_prop_sim_given true
% 4.13/1.18 --inst_prop_sim_new false
% 4.13/1.18 --inst_subs_new false
% 4.13/1.18 --inst_eq_res_simp false
% 4.13/1.18 --inst_subs_given false
% 4.13/1.18 --inst_orphan_elimination true
% 4.13/1.18 --inst_learning_loop_flag true
% 4.13/1.18 --inst_learning_start 3000
% 4.13/1.18 --inst_learning_factor 2
% 4.13/1.18 --inst_start_prop_sim_after_learn 3
% 4.13/1.18 --inst_sel_renew solver
% 4.13/1.18 --inst_lit_activity_flag true
% 4.13/1.18 --inst_restr_to_given false
% 4.13/1.18 --inst_activity_threshold 500
% 4.13/1.18
% 4.13/1.18 ------ Resolution Options
% 4.13/1.18
% 4.13/1.18 --resolution_flag false
% 4.13/1.18 --res_lit_sel adaptive
% 4.13/1.18 --res_lit_sel_side none
% 4.13/1.18 --res_ordering kbo
% 4.13/1.18 --res_to_prop_solver active
% 4.13/1.18 --res_prop_simpl_new false
% 4.13/1.18 --res_prop_simpl_given true
% 4.13/1.18 --res_to_smt_solver true
% 4.13/1.18 --res_passive_queue_type priority_queues
% 4.13/1.18 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 4.13/1.18 --res_passive_queues_freq [15;5]
% 4.13/1.18 --res_forward_subs full
% 4.13/1.18 --res_backward_subs full
% 4.13/1.18 --res_forward_subs_resolution true
% 4.13/1.18 --res_backward_subs_resolution true
% 4.13/1.18 --res_orphan_elimination true
% 4.13/1.18 --res_time_limit 300.
% 4.13/1.18
% 4.13/1.18 ------ Superposition Options
% 4.13/1.18
% 4.13/1.18 --superposition_flag false
% 4.13/1.18 --sup_passive_queue_type priority_queues
% 4.13/1.18 --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]]
% 4.13/1.18 --sup_passive_queues_freq [8;1;4;4]
% 4.13/1.18 --twee_lhs_weight 4
% 4.13/1.18 --sup_set_join false
% 4.13/1.18 --sup_set_join_goals true
% 4.13/1.18 --sup_set_join_limit 1000
% 4.13/1.18 --demod_completeness_check fast
% 4.13/1.18 --demod_use_ground true
% 4.13/1.18 --sup_unprocessed_bound 0
% 4.13/1.18 --sup_to_prop_solver passive
% 4.13/1.18 --sup_prop_simpl_new true
% 4.13/1.18 --sup_prop_simpl_given true
% 4.13/1.18 --sup_fun_splitting false
% 4.13/1.18 --sup_iter_deepening 2
% 4.13/1.18 --sup_restarts_mult 12
% 4.13/1.18 --sup_score sim_d_gen
% 4.13/1.18 --sup_share_score_frac 0.2
% 4.13/1.18 --sup_share_max_num_cl 500
% 4.13/1.18 --sup_ordering kbo
% 4.13/1.18 --sup_symb_ordering invfreq
% 4.13/1.18 --sup_term_weight default
% 4.13/1.18
% 4.13/1.18 ------ Superposition Simplification Setup
% 4.13/1.18
% 4.13/1.18 --sup_indices_passive [LightNormIndex;FwDemodIndex]
% 4.13/1.18 --sup_full_triv [SMTSimplify;PropSubs]
% 4.13/1.18 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 4.13/1.18 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 4.13/1.18 --sup_immed_triv []
% 4.13/1.18 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 4.13/1.18 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes]
% 4.13/1.18 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod]
% 4.13/1.18 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 4.13/1.18 --sup_input_triv [Unflattening;SMTSimplify]
% 4.13/1.18 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 4.13/1.18 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 4.13/1.18 --sup_full_fixpoint true
% 4.13/1.18 --sup_main_fixpoint true
% 4.13/1.18 --sup_immed_fixpoint false
% 4.13/1.18 --sup_input_fixpoint true
% 4.13/1.18 --sup_cache_sim none
% 4.13/1.18 --sup_smt_interval 500
% 4.13/1.18 --sup_bw_gjoin_interval 0
% 4.13/1.18
% 4.13/1.18 ------ Combination Options
% 4.13/1.18
% 4.13/1.18 --comb_mode clause_based
% 4.13/1.18 --comb_inst_mult 5
% 4.13/1.18 --comb_res_mult 1
% 4.13/1.18 --comb_sup_mult 8
% 4.13/1.18 --comb_sup_deep_mult 2
% 4.13/1.18
% 4.13/1.18 ------ Debug Options
% 4.13/1.18
% 4.13/1.18 --dbg_backtrace false
% 4.13/1.18 --dbg_dump_prop_clauses false
% 4.13/1.18 --dbg_dump_prop_clauses_file -
% 4.13/1.18 --dbg_out_stat false
% 4.13/1.18 --dbg_just_parse false
% 4.13/1.18
% 4.13/1.18
% 4.13/1.18
% 4.13/1.18
% 4.13/1.18 ------ Proving...
% 4.13/1.18
% 4.13/1.18 ------ Trying domains of size >= : 3
% 4.13/1.18
% 4.13/1.18
% 4.13/1.18 ------ Proving...
% 4.13/1.18
% 4.13/1.18 ------ Trying domains of size >= : 4
% 4.13/1.18
% 4.13/1.18
% 4.13/1.18 ------ Proving...
% 4.13/1.18
% 4.13/1.18
% 4.13/1.18 % SZS status CounterSatisfiable for theBenchmark.p
% 4.13/1.18
% 4.13/1.18 ------ Building Model...Done
% 4.13/1.18
% 4.13/1.18 %------ The model is defined over ground terms (initial term algebra).
% 4.13/1.18 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n))))
% 4.13/1.18 %------ where \phi is a formula over the term algebra.
% 4.13/1.18 %------ If we have equality in the problem then it is also defined as a predicate above,
% 4.13/1.18 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 4.13/1.18 %------ See help for --sat_out_model for different model outputs.
% 4.13/1.18 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 4.13/1.18 %------ where the first argument stands for the sort ($i in the unsorted case)
% 4.13/1.18 % SZS output start Model for theBenchmark.p
% See solution above
% 4.13/1.19
%------------------------------------------------------------------------------