%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN483-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.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 03:40:28 PM UTC 2026
% Result : Unsatisfiable 3.99s 1.15s
% Output : CNFRefutation 4.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 106
% Syntax : Number of formulae : 426 ( 2 unt; 0 def)
% Number of atoms : 1879 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2434 ( 981 ~;1453 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 56 ( 55 usr; 52 prp; 0-1 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 305 ( 0 sgn 305 !; 0 ?; 233 :)
% Comments :
%------------------------------------------------------------------------------
fof(f11,negated_conjecture,
( ndr1_0
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f15,negated_conjecture,
( ndr1_0
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
fof(f26,negated_conjecture,
( ndr1_0
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f30,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f31,negated_conjecture,
( hskp1
| hskp27
| hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f32,negated_conjecture,
( hskp16
| hskp17
| hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f33,negated_conjecture,
( hskp24
| hskp10
| hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f34,negated_conjecture,
( hskp15
| hskp10
| hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f40,negated_conjecture,
( hskp19
| hskp4
| hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f41,negated_conjecture,
( c0_1(a1885)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f42,negated_conjecture,
( c1_1(a1885)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( c2_1(a1885)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( c1_1(a1878)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( c2_1(a1878)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( c3_1(a1878)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( c0_1(a1877)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( c2_1(a1877)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( c3_1(a1877)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( c0_1(a1858)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( c1_1(a1858)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( c3_1(a1858)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f55,negated_conjecture,
( c3_1(a1919)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f57,negated_conjecture,
( c0_1(a1899)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f58,negated_conjecture,
( c3_1(a1898)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( c2_1(a1890)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( c0_1(a1875)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( c1_1(a1875)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( c0_1(a1874)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( c2_1(a1874)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( c2_1(a1872)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( c3_1(a1872)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( c1_1(a1870)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f70,negated_conjecture,
( c0_1(a1864)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( c3_1(a1864)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( c2_1(a1863)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( c0_1(a1862)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( c1_1(a1862)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( c0_1(a1861)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f82,negated_conjecture,
( c1_1(a1853)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( c3_1(a1853)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( c1_1(a1852)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( c3_1(a1852)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f87,negated_conjecture,
( ~ hskp24
| ~ c1_1(a1919) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( ~ hskp24
| ~ c2_1(a1919) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f91,negated_conjecture,
( ~ hskp22
| ~ c2_1(a1899) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f92,negated_conjecture,
( ~ hskp22
| ~ c3_1(a1899) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f93,negated_conjecture,
( ~ hskp21
| ~ c0_1(a1898) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f94,negated_conjecture,
( ~ hskp21
| ~ c1_1(a1898) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f95,negated_conjecture,
( ~ hskp20
| ~ c0_1(a1890) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f96,negated_conjecture,
( ~ hskp20
| ~ c1_1(a1890) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f100,negated_conjecture,
( ~ hskp18
| ~ c3_1(a1875) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ hskp17
| ~ c1_1(a1874) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ hskp16
| ~ c0_1(a1872) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ hskp15
| ~ c0_1(a1870) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ hskp15
| ~ c3_1(a1870) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f106,negated_conjecture,
( ~ hskp13
| ~ c1_1(a1867) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ hskp13
| ~ c2_1(a1867) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ hskp13
| ~ c3_1(a1867) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f114,negated_conjecture,
( ~ hskp10
| ~ c1_1(a1864) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ hskp9
| ~ c1_1(a1863) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ hskp9
| ~ c3_1(a1863) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ hskp8
| ~ c2_1(a1862) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ hskp7
| ~ c1_1(a1861) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ hskp7
| ~ c2_1(a1861) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f125,negated_conjecture,
( ~ hskp3
| ~ c0_1(a1855) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ hskp3
| ~ c1_1(a1855) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ hskp3
| ~ c2_1(a1855) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f129,negated_conjecture,
( ~ hskp1
| ~ c0_1(a1853) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( ~ hskp0
| ~ c2_1(a1852) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f140,negated_conjecture,
! [X0] :
( hskp4
| hskp14
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f141,negated_conjecture,
! [X0] :
( hskp3
| hskp15
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f146,negated_conjecture,
! [X0] :
( hskp20
| hskp29
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f147,negated_conjecture,
! [X0] :
( hskp13
| hskp9
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f152,negated_conjecture,
! [X0] :
( hskp18
| hskp8
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f154,negated_conjecture,
! [X0] :
( hskp1
| hskp7
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f155,negated_conjecture,
! [X0] :
( hskp10
| hskp26
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f156,negated_conjecture,
! [X0] :
( hskp22
| hskp27
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f158,negated_conjecture,
! [X0] :
( hskp3
| hskp26
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f159,negated_conjecture,
! [X0] :
( hskp24
| hskp0
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
fof(f160,negated_conjecture,
! [X0] :
( hskp0
| hskp28
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f162,negated_conjecture,
! [X0,X1] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
fof(f163,negated_conjecture,
! [X0,X1] :
( hskp1
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f164,negated_conjecture,
! [X0,X1] :
( hskp3
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f165,negated_conjecture,
! [X0,X1] :
( hskp9
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
fof(f166,negated_conjecture,
! [X0,X1] :
( hskp17
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f168,negated_conjecture,
! [X0,X1] :
( hskp9
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f169,negated_conjecture,
! [X0,X1] :
( hskp6
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f174,negated_conjecture,
! [X0,X1] :
( hskp8
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f175,negated_conjecture,
! [X0,X1] :
( hskp15
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f176,negated_conjecture,
! [X0,X1] :
( hskp27
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f178,negated_conjecture,
! [X0,X1] :
( hskp8
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
fof(f179,negated_conjecture,
! [X0,X1] :
( hskp16
| c0_1(X1)
| c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f181,negated_conjecture,
! [X0,X1] :
( hskp21
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f183,negated_conjecture,
! [X0,X1] :
( hskp24
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f184,negated_conjecture,
! [X0,X1] :
( hskp20
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
fof(f186,negated_conjecture,
! [X0,X1] :
( hskp10
| c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
fof(f187,negated_conjecture,
! [X0,X1] :
( hskp16
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).
fof(f188,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).
fof(f189,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
fof(f190,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c2_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
fof(f191,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c3_1(X1)
| c1_1(X1)
| c3_1(X0)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
fof(f192,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
fof(f193,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X1)
| c3_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).
fof(f194,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c1_1(X1)
| c2_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).
fof(f195,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).
fof(f196,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).
tcf(c_255,negated_conjecture,
( ndr1_0
| ~ hskp19 ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_259,negated_conjecture,
( ndr1_0
| ~ hskp15 ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_270,negated_conjecture,
( ndr1_0
| ~ hskp4 ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_274,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_275,negated_conjecture,
( hskp1
| hskp27
| hskp29 ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_276,negated_conjecture,
( hskp8
| hskp16
| hskp17 ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_277,negated_conjecture,
( hskp8
| hskp10
| hskp24 ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_278,negated_conjecture,
( hskp10
| hskp15
| hskp18 ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_284,negated_conjecture,
( hskp4
| hskp15
| hskp19 ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_285,negated_conjecture,
( c0_1(a1885)
| ~ hskp29 ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_286,negated_conjecture,
( c1_1(a1885)
| ~ hskp29 ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_287,negated_conjecture,
( c2_1(a1885)
| ~ hskp29 ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_288,negated_conjecture,
( c1_1(a1878)
| ~ hskp28 ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_289,negated_conjecture,
( c2_1(a1878)
| ~ hskp28 ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_290,negated_conjecture,
( c3_1(a1878)
| ~ hskp28 ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_291,negated_conjecture,
( c0_1(a1877)
| ~ hskp27 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_292,negated_conjecture,
( c2_1(a1877)
| ~ hskp27 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_293,negated_conjecture,
( c3_1(a1877)
| ~ hskp27 ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_294,negated_conjecture,
( c0_1(a1858)
| ~ hskp26 ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_295,negated_conjecture,
( c1_1(a1858)
| ~ hskp26 ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_296,negated_conjecture,
( c3_1(a1858)
| ~ hskp26 ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_299,negated_conjecture,
( c3_1(a1919)
| ~ hskp24 ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_301,negated_conjecture,
( c0_1(a1899)
| ~ hskp22 ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_302,negated_conjecture,
( c3_1(a1898)
| ~ hskp21 ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_303,negated_conjecture,
( c2_1(a1890)
| ~ hskp20 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_304,negated_conjecture,
( c0_1(a1875)
| ~ hskp18 ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_305,negated_conjecture,
( c1_1(a1875)
| ~ hskp18 ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_306,negated_conjecture,
( c0_1(a1874)
| ~ hskp17 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_307,negated_conjecture,
( c2_1(a1874)
| ~ hskp17 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_308,negated_conjecture,
( c2_1(a1872)
| ~ hskp16 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_309,negated_conjecture,
( c3_1(a1872)
| ~ hskp16 ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_310,negated_conjecture,
( c1_1(a1870)
| ~ hskp15 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_314,negated_conjecture,
( c0_1(a1864)
| ~ hskp10 ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_315,negated_conjecture,
( c3_1(a1864)
| ~ hskp10 ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_316,negated_conjecture,
( c2_1(a1863)
| ~ hskp9 ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_317,negated_conjecture,
( c0_1(a1862)
| ~ hskp8 ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_318,negated_conjecture,
( c1_1(a1862)
| ~ hskp8 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_319,negated_conjecture,
( c0_1(a1861)
| ~ hskp7 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_326,negated_conjecture,
( c1_1(a1853)
| ~ hskp1 ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_327,negated_conjecture,
( c3_1(a1853)
| ~ hskp1 ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_328,negated_conjecture,
( c1_1(a1852)
| ~ hskp0 ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_329,negated_conjecture,
( c3_1(a1852)
| ~ hskp0 ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_331,negated_conjecture,
( ~ hskp24
| ~ c1_1(a1919) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_332,negated_conjecture,
( ~ hskp24
| ~ c2_1(a1919) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_335,negated_conjecture,
( ~ hskp22
| ~ c2_1(a1899) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_336,negated_conjecture,
( ~ hskp22
| ~ c3_1(a1899) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_337,negated_conjecture,
( ~ hskp21
| ~ c0_1(a1898) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_338,negated_conjecture,
( ~ hskp21
| ~ c1_1(a1898) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_339,negated_conjecture,
( ~ hskp20
| ~ c0_1(a1890) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_340,negated_conjecture,
( ~ hskp20
| ~ c1_1(a1890) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_344,negated_conjecture,
( ~ hskp18
| ~ c3_1(a1875) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_345,negated_conjecture,
( ~ hskp17
| ~ c1_1(a1874) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_346,negated_conjecture,
( ~ hskp16
| ~ c0_1(a1872) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_347,negated_conjecture,
( ~ hskp15
| ~ c0_1(a1870) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_348,negated_conjecture,
( ~ hskp15
| ~ c3_1(a1870) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_350,negated_conjecture,
( ~ hskp13
| ~ c1_1(a1867) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_351,negated_conjecture,
( ~ hskp13
| ~ c2_1(a1867) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_352,negated_conjecture,
( ~ hskp13
| ~ c3_1(a1867) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_358,negated_conjecture,
( ~ hskp10
| ~ c1_1(a1864) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_359,negated_conjecture,
( ~ hskp9
| ~ c1_1(a1863) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_360,negated_conjecture,
( ~ hskp9
| ~ c3_1(a1863) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_361,negated_conjecture,
( ~ hskp8
| ~ c2_1(a1862) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_362,negated_conjecture,
( ~ hskp7
| ~ c1_1(a1861) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_363,negated_conjecture,
( ~ hskp7
| ~ c2_1(a1861) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_369,negated_conjecture,
( ~ hskp3
| ~ c0_1(a1855) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_370,negated_conjecture,
( ~ hskp3
| ~ c1_1(a1855) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_371,negated_conjecture,
( ~ hskp3
| ~ c2_1(a1855) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_373,negated_conjecture,
( ~ hskp1
| ~ c0_1(a1853) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_374,negated_conjecture,
( ~ hskp0
| ~ c2_1(a1852) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_384,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp14
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_385,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp15
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_390,negated_conjecture,
! [X0: $i] :
( hskp20
| hskp29
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_391,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp13
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_396,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp18
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_398,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp7
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_399,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp26
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_400,negated_conjecture,
! [X0: $i] :
( hskp22
| hskp27
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_402,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp26
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_403,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp24
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_404,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp28
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_406,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_407,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_408,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c3_1(X0)
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_409,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_410,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_412,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_413,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_418,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c2_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_419,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp15
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_420,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_422,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_423,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_425,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp21
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_427,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp24
| c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_428,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp20
| c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_430,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_431,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_432,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_433,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_434,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_435,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c1_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_436,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_437,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_438,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c1_1(X0)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_439,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_440,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_475,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_274,c_284,c_270,c_259,c_255]) ).
tcf(c_562,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp13
| c2_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_391,c_284,c_270,c_259,c_255,c_391]) ).
tcf(c_565,negated_conjecture,
! [X0: $i] :
( hskp20
| hskp29
| c2_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_390,c_284,c_270,c_259,c_255,c_390]) ).
tcf(c_580,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp15
| c1_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_385,c_284,c_270,c_259,c_255,c_385]) ).
tcf(c_583,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp14
| c1_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_384,c_284,c_270,c_259,c_255,c_384]) ).
tcf(c_598,plain,
! [X0: $i] :
( hskp22
| hskp27
| c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_400,c_284,c_270,c_259,c_255,c_400]) ).
tcf(c_599,negated_conjecture,
! [X0: $i] :
( hskp22
| hskp27
| c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_598]) ).
tcf(c_601,plain,
! [X0: $i] :
( hskp10
| hskp26
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_399,c_284,c_270,c_259,c_255,c_399]) ).
tcf(c_602,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp26
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_601]) ).
tcf(c_604,plain,
! [X0: $i] :
( hskp1
| hskp7
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_398,c_284,c_270,c_259,c_255,c_398]) ).
tcf(c_605,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp7
| c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_604]) ).
tcf(c_610,plain,
! [X0: $i] :
( hskp8
| hskp18
| c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_396,c_284,c_270,c_259,c_255,c_396]) ).
tcf(c_611,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp18
| c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_610]) ).
tcf(c_616,plain,
! [X0: $i] :
( hskp0
| hskp28
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_404,c_284,c_270,c_259,c_255,c_404]) ).
tcf(c_617,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp28
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_616]) ).
tcf(c_619,plain,
! [X0: $i] :
( hskp0
| hskp24
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_403,c_284,c_270,c_259,c_255,c_403]) ).
tcf(c_620,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp24
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_619]) ).
tcf(c_622,plain,
! [X0: $i] :
( hskp3
| hskp26
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_402,c_284,c_270,c_259,c_255,c_402]) ).
tcf(c_623,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp26
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_622]) ).
tcf(c_628,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_409,c_284,c_270,c_259,c_255,c_409]) ).
tcf(c_630,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c3_1(X0)
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_408,c_284,c_270,c_259,c_255,c_408]) ).
tcf(c_632,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_407,c_284,c_270,c_259,c_255,c_407]) ).
tcf(c_635,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_406,c_284,c_270,c_259,c_255,c_406]) ).
tcf(c_637,plain,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_412,c_284,c_270,c_259,c_255,c_412]) ).
tcf(c_638,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_637]) ).
tcf(c_641,plain,
! [X0: $i,X1: $i] :
( hskp17
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_410,c_284,c_270,c_259,c_255,c_410]) ).
tcf(c_642,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_641]) ).
tcf(c_645,plain,
! [X0: $i,X1: $i] :
( hskp27
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_420,c_284,c_270,c_259,c_255,c_420]) ).
tcf(c_646,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_645]) ).
tcf(c_647,plain,
! [X0: $i,X1: $i] :
( hskp15
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_419,c_284,c_270,c_259,c_255,c_419]) ).
tcf(c_648,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp15
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_647]) ).
tcf(c_649,plain,
! [X0: $i,X1: $i] :
( hskp8
| c2_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_418,c_284,c_270,c_259,c_255,c_418]) ).
tcf(c_650,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c2_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_649]) ).
tcf(c_660,plain,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_413,c_284,c_270,c_259,c_255,c_413]) ).
tcf(c_661,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_660]) ).
tcf(c_662,plain,
! [X0: $i,X1: $i] :
( hskp20
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_428,c_284,c_270,c_259,c_255,c_428]) ).
tcf(c_663,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp20
| c3_1(X1)
| c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_662]) ).
tcf(c_664,plain,
! [X0: $i,X1: $i] :
( hskp24
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_427,c_284,c_270,c_259,c_255,c_427]) ).
tcf(c_665,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp24
| c3_1(X1)
| c2_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_664]) ).
tcf(c_668,plain,
! [X0: $i,X1: $i] :
( hskp21
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_425,c_284,c_270,c_259,c_255,c_425]) ).
tcf(c_669,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp21
| c3_1(X1)
| c1_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_668]) ).
tcf(c_672,plain,
! [X0: $i,X1: $i] :
( hskp16
| c2_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_423,c_284,c_270,c_259,c_255,c_423]) ).
tcf(c_673,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c2_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_672]) ).
tcf(c_674,plain,
! [X0: $i,X1: $i] :
( hskp8
| c2_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_422,c_422,c_475]) ).
tcf(c_675,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_674]) ).
tcf(c_676,plain,
! [X0: $i,X1: $i] :
( hskp16
| c2_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_431,c_284,c_270,c_259,c_255,c_431]) ).
tcf(c_677,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_676]) ).
tcf(c_678,plain,
! [X0: $i,X1: $i] :
( hskp10
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_430,c_284,c_270,c_259,c_255,c_430]) ).
tcf(c_679,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c2_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_678]) ).
tcf(c_682,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_432,c_284,c_270,c_259,c_255,c_432]) ).
tcf(c_683,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| c1_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_682]) ).
tcf(c_684,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_434,c_284,c_270,c_259,c_255,c_434]) ).
tcf(c_685,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_684]) ).
tcf(c_686,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_433,c_284,c_270,c_259,c_255,c_433]) ).
tcf(c_687,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_686]) ).
tcf(c_688,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_437,c_284,c_270,c_259,c_255,c_437]) ).
tcf(c_689,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_688]) ).
tcf(c_691,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_436,c_284,c_270,c_259,c_255,c_436]) ).
tcf(c_692,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_691]) ).
tcf(c_693,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c1_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X2)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_435,c_284,c_270,c_259,c_255,c_435]) ).
tcf(c_694,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c1_1(X2)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_693]) ).
tcf(c_695,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X2)
| ~ c3_1(X0)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_440,c_284,c_270,c_259,c_255,c_440]) ).
tcf(c_696,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_695]) ).
tcf(c_697,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_439,c_284,c_270,c_259,c_255,c_439]) ).
tcf(c_698,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_697]) ).
tcf(c_699,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c1_1(X0)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_438,c_284,c_270,c_259,c_255,c_438]) ).
tcf(c_700,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c1_1(X0)
| c0_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_699]) ).
tcf(c_3106,plain,
! [X0: $i] :
( hskp27
| c2_1(X0)
| ~ c3_1(a1899)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(resolution,[status(thm)],[c_599,c_336]) ).
tcf(c_3107,plain,
( hskp27
| c2_1(a1852)
| ~ c3_1(a1852)
| ~ c3_1(a1899)
| ~ c0_1(a1852) ),
inference(instantiation,[status(thm)],[c_3106]) ).
tcf(c_3123,plain,
! [X0: $i] :
( hskp27
| c2_1(X0)
| ~ c2_1(a1899)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(resolution,[status(thm)],[c_599,c_335]) ).
tcf(c_3124,plain,
( hskp27
| c2_1(a1852)
| ~ c3_1(a1852)
| ~ c2_1(a1899)
| ~ c0_1(a1852) ),
inference(instantiation,[status(thm)],[c_3123]) ).
tcf(c_3140,plain,
! [X0: $i] :
( hskp27
| c0_1(a1899)
| c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(resolution,[status(thm)],[c_599,c_301]) ).
tcf(c_3141,plain,
( hskp27
| c2_1(a1852)
| c0_1(a1899)
| ~ c3_1(a1852)
| ~ c0_1(a1852) ),
inference(instantiation,[status(thm)],[c_3140]) ).
tcf(c_4369,plain,
( hskp8
| hskp10
| ~ c2_1(a1919) ),
inference(resolution,[status(thm)],[c_277,c_332]) ).
tcf(c_4379,plain,
( hskp8
| hskp10
| ~ c1_1(a1919) ),
inference(resolution,[status(thm)],[c_277,c_331]) ).
tcf(c_4621,plain,
( hskp1
| hskp27
| c2_1(a1885) ),
inference(resolution,[status(thm)],[c_275,c_287]) ).
tcf(c_4631,plain,
( hskp1
| hskp27
| c1_1(a1885) ),
inference(resolution,[status(thm)],[c_275,c_286]) ).
tcf(c_4641,plain,
( hskp1
| hskp27
| c0_1(a1885) ),
inference(resolution,[status(thm)],[c_275,c_285]) ).
tcf(c_5140,plain,
( hskp8
| hskp16
| ~ c1_1(a1874) ),
inference(resolution,[status(thm)],[c_276,c_345]) ).
tcf(c_5150,plain,
( hskp8
| hskp16
| c2_1(a1874) ),
inference(resolution,[status(thm)],[c_276,c_307]) ).
tcf(c_5160,plain,
( hskp8
| hskp16
| c0_1(a1874) ),
inference(resolution,[status(thm)],[c_276,c_306]) ).
tcf(c_6014,plain,
( hskp10
| hskp15
| ~ c3_1(a1875) ),
inference(resolution,[status(thm)],[c_278,c_344]) ).
tcf(c_6024,plain,
( hskp10
| hskp15
| c1_1(a1875) ),
inference(resolution,[status(thm)],[c_278,c_305]) ).
tcf(c_6350,plain,
( hskp8
| hskp24
| ~ c1_1(a1864) ),
inference(resolution,[status(thm)],[c_277,c_358]) ).
tcf(c_6360,plain,
( hskp8
| hskp24
| c3_1(a1864) ),
inference(resolution,[status(thm)],[c_277,c_315]) ).
tcf(c_6370,plain,
( hskp8
| hskp24
| c0_1(a1864) ),
inference(resolution,[status(thm)],[c_277,c_314]) ).
tcf(c_18008,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_700]) ).
tcf(c_18009,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_700]) ).
tcf(c_18010,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_700]) ).
tcf(c_18011,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_700]) ).
tcf(c_18012,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_698]) ).
tcf(c_18013,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_698]) ).
tcf(c_18014,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_698]) ).
tcf(c_18015,negated_conjecture,
( iPr_def_15
| iPr_def_14
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_698]) ).
tcf(c_18016,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_696]) ).
tcf(c_18017,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_696]) ).
tcf(c_18018,negated_conjecture,
( iPr_def_17
| iPr_def_16
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_696]) ).
tcf(c_18019,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_694]) ).
tcf(c_18020,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_694]) ).
tcf(c_18021,negated_conjecture,
( iPr_def_19
| iPr_def_18
| iPr_def_14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_694]) ).
tcf(c_18022,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| ~ c1_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_692]) ).
tcf(c_18023,negated_conjecture,
( iPr_def_20
| iPr_def_13
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_692]) ).
tcf(c_18024,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_689]) ).
tcf(c_18027,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_23
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_687]) ).
tcf(c_18028,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_687]) ).
tcf(c_18029,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| ~ c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_687]) ).
tcf(c_18031,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_26
| ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_685]) ).
tcf(c_18032,negated_conjecture,
( iPr_def_26
| iPr_def_24
| iPr_def_23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_685]) ).
tcf(c_18033,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_27
| c1_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_683]) ).
tcf(c_18036,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_679]) ).
tcf(c_18037,negated_conjecture,
( iPr_def_28
| iPr_def_21
| hskp10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_679]) ).
tcf(c_18038,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_677]) ).
tcf(c_18039,negated_conjecture,
( iPr_def_29
| iPr_def_11
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_677]) ).
tcf(c_18040,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_30
| c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_675]) ).
tcf(c_18041,negated_conjecture,
( iPr_def_30
| iPr_def_29
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_675]) ).
tcf(c_18042,negated_conjecture,
( iPr_def_21
| iPr_def_18
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_673]) ).
tcf(c_18044,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| ~ c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_669]) ).
tcf(c_18045,negated_conjecture,
( iPr_def_31
| iPr_def_15
| hskp21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_669]) ).
tcf(c_18047,negated_conjecture,
( iPr_def_29
| iPr_def_16
| hskp24 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_665]) ).
tcf(c_18048,negated_conjecture,
( iPr_def_20
| iPr_def_17
| hskp20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_663]) ).
tcf(c_18049,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_661]) ).
tcf(c_18057,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_35
| c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_650]) ).
tcf(c_18058,negated_conjecture,
( iPr_def_35
| iPr_def_23
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_650]) ).
tcf(c_18059,negated_conjecture,
( iPr_def_31
| iPr_def_10
| hskp15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_648]) ).
tcf(c_18060,negated_conjecture,
( iPr_def_14
| iPr_def_10
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_646]) ).
tcf(c_18062,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_36
| c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_642]) ).
tcf(c_18063,negated_conjecture,
( iPr_def_36
| iPr_def_18
| hskp17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_642]) ).
tcf(c_18067,negated_conjecture,
( iPr_def_35
| iPr_def_16
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_638]) ).
tcf(c_18068,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_39
| c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_635]) ).
tcf(c_18069,negated_conjecture,
( iPr_def_39
| iPr_def_24
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_635]) ).
tcf(c_18070,negated_conjecture,
( iPr_def_35
| iPr_def_24
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_632]) ).
tcf(c_18071,negated_conjecture,
( iPr_def_32
| iPr_def_16
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_630]) ).
tcf(c_18072,negated_conjecture,
( iPr_def_27
| iPr_def_20
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_628]) ).
tcf(c_18074,negated_conjecture,
( iPr_def_15
| hskp3
| hskp26 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_623]) ).
tcf(c_18075,negated_conjecture,
( iPr_def_15
| hskp0
| hskp24 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_620]) ).
tcf(c_18076,negated_conjecture,
( iPr_def_29
| hskp0
| hskp28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_617]) ).
tcf(c_18078,negated_conjecture,
( iPr_def_25
| hskp8
| hskp18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_611]) ).
tcf(c_18080,negated_conjecture,
( iPr_def_12
| hskp1
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_605]) ).
tcf(c_18081,negated_conjecture,
( iPr_def_21
| hskp10
| hskp26 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_602]) ).
tcf(c_18082,negated_conjecture,
( iPr_def_26
| hskp22
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_599]) ).
tcf(c_18087,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_40
| c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_583]) ).
tcf(c_18089,negated_conjecture,
( iPr_def_40
| hskp3
| hskp15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_580]) ).
tcf(c_18094,negated_conjecture,
( iPr_def_35
| hskp20
| hskp29 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_565]) ).
tcf(c_18095,negated_conjecture,
( iPr_def_35
| hskp9
| hskp13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_562]) ).
tcf(c_18121,plain,
( c2_1(a1852)
| ~ iPr_def_11
| ~ c3_1(a1852)
| ~ c1_1(a1852) ),
inference(instantiation,[status(thm)],[c_18009]) ).
tcf(c_18124,plain,
( c0_1(a1852)
| ~ iPr_def_18
| ~ c3_1(a1852)
| ~ c1_1(a1852) ),
inference(instantiation,[status(thm)],[c_18019]) ).
tcf(c_18133,plain,
( ~ iPr_def_17
| ~ c3_1(a1852)
| ~ c1_1(a1852)
| ~ c0_1(a1852) ),
inference(instantiation,[status(thm)],[c_18017]) ).
tcf(c_18138,plain,
( c0_1(a1872)
| ~ iPr_def_10
| ~ c3_1(a1872)
| ~ c2_1(a1872) ),
inference(instantiation,[status(thm)],[c_18008]) ).
tcf(c_18149,plain,
( c3_1(a1874)
| c1_1(a1874)
| ~ iPr_def_14
| ~ c2_1(a1874) ),
inference(instantiation,[status(thm)],[c_18013]) ).
tcf(c_18151,plain,
( c3_1(a1863)
| c1_1(a1863)
| ~ iPr_def_14
| ~ c2_1(a1863) ),
inference(instantiation,[status(thm)],[c_18013]) ).
tcf(c_18154,plain,
( c3_1(a1875)
| c2_1(a1875)
| ~ iPr_def_16
| ~ c0_1(a1875) ),
inference(instantiation,[status(thm)],[c_18016]) ).
tcf(c_18159,plain,
( c3_1(a1875)
| c2_1(a1875)
| ~ iPr_def_20
| ~ c1_1(a1875) ),
inference(instantiation,[status(thm)],[c_18022]) ).
tcf(c_18165,plain,
( c0_1(a1872)
| ~ iPr_def_23
| ~ c2_1(a1872)
| ~ c1_1(a1872) ),
inference(instantiation,[status(thm)],[c_18027]) ).
tcf(c_18168,plain,
( c2_1(a1898)
| c1_1(a1898)
| ~ iPr_def_35
| ~ c3_1(a1898) ),
inference(instantiation,[status(thm)],[c_18057]) ).
tcf(c_18171,plain,
( c2_1(a1864)
| c1_1(a1864)
| ~ iPr_def_35
| ~ c3_1(a1864) ),
inference(instantiation,[status(thm)],[c_18057]) ).
tcf(c_18173,plain,
( c2_1(a1861)
| c1_1(a1861)
| ~ iPr_def_35
| ~ c3_1(a1861) ),
inference(instantiation,[status(thm)],[c_18057]) ).
tcf(c_18175,plain,
( c3_1(a1870)
| c2_1(a1870)
| ~ iPr_def_20
| ~ c1_1(a1870) ),
inference(instantiation,[status(thm)],[c_18022]) ).
tcf(c_18179,plain,
( c1_1(a1874)
| ~ iPr_def_12
| ~ c3_1(a1874)
| ~ c0_1(a1874) ),
inference(instantiation,[status(thm)],[c_18010]) ).
tcf(c_18180,plain,
( c1_1(a1864)
| ~ iPr_def_12
| ~ c3_1(a1864)
| ~ c0_1(a1864) ),
inference(instantiation,[status(thm)],[c_18010]) ).
tcf(c_18190,plain,
( c1_1(a1877)
| ~ iPr_def_13
| ~ c3_1(a1877)
| ~ c2_1(a1877) ),
inference(instantiation,[status(thm)],[c_18012]) ).
tcf(c_18191,plain,
( c1_1(a1874)
| ~ iPr_def_13
| ~ c3_1(a1874)
| ~ c2_1(a1874) ),
inference(instantiation,[status(thm)],[c_18012]) ).
tcf(c_18192,plain,
( c1_1(a1872)
| ~ iPr_def_13
| ~ c3_1(a1872)
| ~ c2_1(a1872) ),
inference(instantiation,[status(thm)],[c_18012]) ).
tcf(c_18205,plain,
( c0_1(a1853)
| ~ iPr_def_18
| ~ c3_1(a1853)
| ~ c1_1(a1853) ),
inference(instantiation,[status(thm)],[c_18019]) ).
tcf(c_18232,plain,
( c1_1(a1872)
| c0_1(a1872)
| ~ iPr_def_40
| ~ c3_1(a1872) ),
inference(instantiation,[status(thm)],[c_18087]) ).
tcf(c_18239,plain,
( c1_1(a1890)
| ~ iPr_def_13
| ~ c3_1(a1890)
| ~ c2_1(a1890) ),
inference(instantiation,[status(thm)],[c_18012]) ).
tcf(c_18242,plain,
( c0_1(a1890)
| ~ iPr_def_10
| ~ c3_1(a1890)
| ~ c2_1(a1890) ),
inference(instantiation,[status(thm)],[c_18008]) ).
tcf(c_18246,plain,
( c1_1(a1890)
| c0_1(a1890)
| ~ iPr_def_40
| ~ c3_1(a1890) ),
inference(instantiation,[status(thm)],[c_18087]) ).
tcf(c_18248,plain,
( c0_1(a1870)
| ~ iPr_def_23
| ~ c2_1(a1870)
| ~ c1_1(a1870) ),
inference(instantiation,[status(thm)],[c_18027]) ).
tcf(c_18258,plain,
( ~ iPr_def_28
| ~ c3_1(a1877)
| ~ c2_1(a1877)
| ~ c1_1(a1877) ),
inference(instantiation,[status(thm)],[c_18036]) ).
tcf(c_18261,plain,
( ~ iPr_def_28
| ~ c3_1(a1872)
| ~ c2_1(a1872)
| ~ c1_1(a1872) ),
inference(instantiation,[status(thm)],[c_18036]) ).
tcf(c_18269,plain,
( c3_1(a1861)
| c2_1(a1861)
| ~ iPr_def_16
| ~ c0_1(a1861) ),
inference(instantiation,[status(thm)],[c_18016]) ).
tcf(c_18275,plain,
( ~ iPr_def_15
| ~ c2_1(a1877)
| ~ c1_1(a1877)
| ~ c0_1(a1877) ),
inference(instantiation,[status(thm)],[c_18014]) ).
tcf(c_18282,plain,
( ~ iPr_def_15
| ~ c2_1(a1875)
| ~ c1_1(a1875)
| ~ c0_1(a1875) ),
inference(instantiation,[status(thm)],[c_18014]) ).
tcf(c_18286,plain,
( c3_1(a1874)
| ~ iPr_def_19
| ~ c2_1(a1874)
| ~ c0_1(a1874) ),
inference(instantiation,[status(thm)],[c_18020]) ).
tcf(c_18288,plain,
( c3_1(a1863)
| ~ iPr_def_19
| ~ c2_1(a1863)
| ~ c0_1(a1863) ),
inference(instantiation,[status(thm)],[c_18020]) ).
tcf(c_18310,plain,
( c3_1(a1874)
| c1_1(a1874)
| ~ iPr_def_31
| ~ c0_1(a1874) ),
inference(instantiation,[status(thm)],[c_18044]) ).
tcf(c_18328,plain,
( c1_1(a1864)
| ~ iPr_def_13
| ~ c3_1(a1864)
| ~ c2_1(a1864) ),
inference(instantiation,[status(thm)],[c_18012]) ).
tcf(c_18334,plain,
( c3_1(a1899)
| c2_1(a1899)
| ~ iPr_def_16
| ~ c0_1(a1899) ),
inference(instantiation,[status(thm)],[c_18016]) ).
tcf(c_18357,plain,
( c3_1(a1867)
| c2_1(a1867)
| c0_1(a1867)
| ~ iPr_def_36 ),
inference(instantiation,[status(thm)],[c_18062]) ).
tcf(c_18360,plain,
( c3_1(a1867)
| c2_1(a1867)
| ~ iPr_def_16
| ~ c0_1(a1867) ),
inference(instantiation,[status(thm)],[c_18016]) ).
tcf(c_18362,plain,
( ~ iPr_def_29
| ~ c3_1(a1874)
| ~ c2_1(a1874)
| ~ c0_1(a1874) ),
inference(instantiation,[status(thm)],[c_18038]) ).
tcf(c_18412,plain,
( ~ iPr_def_15
| ~ c2_1(a1885)
| ~ c1_1(a1885)
| ~ c0_1(a1885) ),
inference(instantiation,[status(thm)],[c_18014]) ).
tcf(c_18423,plain,
( c2_1(a1867)
| c1_1(a1867)
| c0_1(a1867)
| ~ iPr_def_24 ),
inference(instantiation,[status(thm)],[c_18028]) ).
tcf(c_18429,plain,
( c2_1(a1855)
| c1_1(a1855)
| c0_1(a1855)
| ~ iPr_def_24 ),
inference(instantiation,[status(thm)],[c_18028]) ).
tcf(c_18433,plain,
( c1_1(a1919)
| ~ iPr_def_12
| ~ c3_1(a1919)
| ~ c0_1(a1919) ),
inference(instantiation,[status(thm)],[c_18010]) ).
tcf(c_18434,plain,
( c2_1(a1919)
| c1_1(a1919)
| ~ iPr_def_35
| ~ c3_1(a1919) ),
inference(instantiation,[status(thm)],[c_18057]) ).
tcf(c_18436,plain,
( c2_1(a1919)
| c1_1(a1919)
| c0_1(a1919)
| ~ iPr_def_24 ),
inference(instantiation,[status(thm)],[c_18028]) ).
tcf(c_18446,plain,
( c0_1(a1853)
| ~ iPr_def_10
| ~ c3_1(a1853)
| ~ c2_1(a1853) ),
inference(instantiation,[status(thm)],[c_18008]) ).
tcf(c_18450,plain,
( c1_1(a1898)
| ~ iPr_def_13
| ~ c3_1(a1898)
| ~ c2_1(a1898) ),
inference(instantiation,[status(thm)],[c_18012]) ).
tcf(c_18458,plain,
( c0_1(a1878)
| ~ iPr_def_10
| ~ c3_1(a1878)
| ~ c2_1(a1878) ),
inference(instantiation,[status(thm)],[c_18008]) ).
tcf(c_18465,plain,
( c3_1(a1862)
| c2_1(a1862)
| ~ iPr_def_20
| ~ c1_1(a1862) ),
inference(instantiation,[status(thm)],[c_18022]) ).
tcf(c_18480,plain,
( c0_1(a1853)
| ~ iPr_def_23
| ~ c2_1(a1853)
| ~ c1_1(a1853) ),
inference(instantiation,[status(thm)],[c_18027]) ).
tcf(c_18485,plain,
( c2_1(a1858)
| ~ iPr_def_11
| ~ c3_1(a1858)
| ~ c1_1(a1858) ),
inference(instantiation,[status(thm)],[c_18009]) ).
tcf(c_18493,plain,
( c2_1(a1853)
| ~ iPr_def_11
| ~ c3_1(a1853)
| ~ c1_1(a1853) ),
inference(instantiation,[status(thm)],[c_18009]) ).
tcf(c_18506,plain,
( ~ iPr_def_29
| ~ c3_1(a1877)
| ~ c2_1(a1877)
| ~ c0_1(a1877) ),
inference(instantiation,[status(thm)],[c_18038]) ).
tcf(c_18507,plain,
( ~ iPr_def_29
| ~ c3_1(a1858)
| ~ c2_1(a1858)
| ~ c0_1(a1858) ),
inference(instantiation,[status(thm)],[c_18038]) ).
tcf(c_18564,plain,
( c3_1(a1890)
| c1_1(a1890)
| c0_1(a1890)
| ~ iPr_def_32 ),
inference(instantiation,[status(thm)],[c_18049]) ).
tcf(c_18572,plain,
( ~ iPr_def_17
| ~ c3_1(a1878)
| ~ c1_1(a1878)
| ~ c0_1(a1878) ),
inference(instantiation,[status(thm)],[c_18017]) ).
tcf(c_18573,plain,
( ~ iPr_def_17
| ~ c3_1(a1877)
| ~ c1_1(a1877)
| ~ c0_1(a1877) ),
inference(instantiation,[status(thm)],[c_18017]) ).
tcf(c_18574,plain,
( ~ iPr_def_17
| ~ c3_1(a1858)
| ~ c1_1(a1858)
| ~ c0_1(a1858) ),
inference(instantiation,[status(thm)],[c_18017]) ).
tcf(c_18589,plain,
( c2_1(a1862)
| ~ iPr_def_21
| ~ c1_1(a1862)
| ~ c0_1(a1862) ),
inference(instantiation,[status(thm)],[c_18024]) ).
tcf(c_18601,plain,
( c3_1(a1867)
| c2_1(a1867)
| c1_1(a1867)
| ~ iPr_def_27 ),
inference(instantiation,[status(thm)],[c_18033]) ).
tcf(c_18628,plain,
( c2_1(a1898)
| c1_1(a1898)
| c0_1(a1898)
| ~ iPr_def_24 ),
inference(instantiation,[status(thm)],[c_18028]) ).
tcf(c_18683,plain,
( c1_1(a1877)
| ~ iPr_def_12
| ~ c3_1(a1877)
| ~ c0_1(a1877) ),
inference(instantiation,[status(thm)],[c_18010]) ).
tcf(c_18767,plain,
( c2_1(a1862)
| ~ iPr_def_11
| ~ c3_1(a1862)
| ~ c1_1(a1862) ),
inference(instantiation,[status(thm)],[c_18009]) ).
tcf(c_18798,plain,
( c3_1(a1862)
| c2_1(a1862)
| ~ iPr_def_16
| ~ c0_1(a1862) ),
inference(instantiation,[status(thm)],[c_18016]) ).
tcf(c_18822,plain,
( c1_1(a1874)
| ~ iPr_def_25
| ~ c2_1(a1874)
| ~ c0_1(a1874) ),
inference(instantiation,[status(thm)],[c_18029]) ).
tcf(c_18824,plain,
( c1_1(a1864)
| ~ iPr_def_25
| ~ c2_1(a1864)
| ~ c0_1(a1864) ),
inference(instantiation,[status(thm)],[c_18029]) ).
tcf(c_18829,plain,
( c1_1(a1877)
| ~ iPr_def_25
| ~ c2_1(a1877)
| ~ c0_1(a1877) ),
inference(instantiation,[status(thm)],[c_18029]) ).
tcf(c_18840,plain,
( c2_1(a1862)
| ~ iPr_def_26
| ~ c3_1(a1862)
| ~ c0_1(a1862) ),
inference(instantiation,[status(thm)],[c_18031]) ).
tcf(c_18846,plain,
( c2_1(a1864)
| ~ iPr_def_26
| ~ c3_1(a1864)
| ~ c0_1(a1864) ),
inference(instantiation,[status(thm)],[c_18031]) ).
tcf(c_18884,plain,
( c1_1(a1863)
| c0_1(a1863)
| ~ iPr_def_39
| ~ c2_1(a1863) ),
inference(instantiation,[status(thm)],[c_18068]) ).
tcf(c_18919,plain,
( c2_1(a1870)
| c0_1(a1870)
| ~ iPr_def_30
| ~ c1_1(a1870) ),
inference(instantiation,[status(thm)],[c_18040]) ).
tcf(c_18951,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_18919,c_18884,c_18846,c_18840,c_18829,c_18824,c_18822,c_18798,c_18767,c_18683,c_18628,c_18601,c_18589,c_18574,c_18573,c_18572,c_18564,c_18507,c_18506,c_18493,c_18485,c_18480,c_18465,c_18458,c_18450,c_18446,c_18436,c_18433,c_18434,c_18429,c_18423,c_18412,c_18362,c_18357,c_18360,c_18334,c_18328,c_18310,c_18288,c_18286,c_18282,c_18275,c_18269,c_18261,c_18258,c_18248,c_18246,c_18239,c_18242,c_18232,c_18205,c_18192,c_18191,c_18190,c_18180,c_18179,c_18175,c_18173,c_18171,c_18168,c_18165,c_18159,c_18154,c_18151,c_18149,c_18138,c_18133,c_18124,c_18121,c_18095,c_18094,c_18089,c_18082,c_18081,c_18080,c_18078,c_18076,c_18075,c_18074,c_18072,c_18071,c_18070,c_18069,c_18067,c_18063,c_18060,c_18059,c_18058,c_18048,c_18047,c_18045,c_18042,c_18041,c_18039,c_18037,c_18032,c_18023,c_18021,c_18018,c_18015,c_18011,c_6370,c_6360,c_6350,c_6024,c_6014,c_5160,c_5150,c_5140,c_4641,c_4631,c_4621,c_4379,c_4369,c_3141,c_3124,c_3107,c_331,c_332,c_335,c_336,c_337,c_338,c_339,c_340,c_344,c_345,c_346,c_347,c_348,c_350,c_351,c_352,c_358,c_359,c_360,c_361,c_362,c_363,c_369,c_370,c_371,c_373,c_374,c_285,c_286,c_287,c_288,c_289,c_290,c_291,c_292,c_293,c_294,c_295,c_296,c_299,c_301,c_302,c_303,c_304,c_305,c_306,c_307,c_308,c_309,c_310,c_314,c_315,c_316,c_317,c_318,c_319,c_326,c_327,c_328,c_329]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN483-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 01:29:18 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running EPR theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 3.99/1.15 % SZS status Started for theBenchmark.p
% 3.99/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.99/1.15
% 3.99/1.15 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.99/1.15
% 3.99/1.15 % ------ iProver source info
% 3.99/1.15
% 3.99/1.15 % git: date: 2026-07-19 20:42:38 +0200
% 3.99/1.15 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.99/1.15 % git: non_committed_changes: false
% 3.99/1.15
% 3.99/1.15 % ------ Parsing...% successful
% 3.99/1.15
% 3.99/1.15
% 3.99/1.15 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 3.99/1.15 %
% 3.99/1.15
% 3.99/1.15 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.99/1.15
% 3.99/1.15 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 3.99/1.15 gs_s sp: 111 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.99/1.15 % ------ Proving...
% 3.99/1.15 % ------ Problem Properties
% 3.99/1.15
% 3.99/1.15 %
% 3.99/1.15 % clauses 197
% 3.99/1.15 % conjectures 197
% 3.99/1.15 % EPR 197
% 3.99/1.15 % Horn 106
% 3.99/1.15 % unary 0
% 3.99/1.15 % binary 90
% 3.99/1.15 % lits 532
% 3.99/1.15 % lits eq 0
% 3.99/1.15 % fd_pure 0
% 3.99/1.15 % fd_pseudo 0
% 3.99/1.15 % fd_cond 0
% 3.99/1.15 % fd_pseudo_cond 0
% 3.99/1.15 % AC symbols 0
% 3.99/1.15
% 3.99/1.15 % ------ Schedule EPR non Horn non eq is on
% 3.99/1.15
% 3.99/1.15 % ------ no equalities: superposition off
% 3.99/1.15
% 3.99/1.15 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.99/1.15
% 3.99/1.15
% 3.99/1.15 % ------
% 3.99/1.15 % Current options:
% 3.99/1.15 % ------
% 3.99/1.15
% 3.99/1.15
% 3.99/1.15 %
% 3.99/1.15
% 3.99/1.15 % ------ Proving...
% 3.99/1.15 %
% 3.99/1.15
% 3.99/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.99/1.15
% 3.99/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.82/1.16
% 4.82/1.16
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