%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN460-1 : 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 : n010.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 03:40:20 PM UTC 2026
% Result : Unsatisfiable 4.92s 1.25s
% Output : CNFRefutation 4.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 106
% Syntax : Number of formulae : 434 ( 2 unt; 0 def)
% Number of atoms : 1792 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2298 ( 940 ~;1358 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 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 : 58 ( 57 usr; 54 prp; 0-1 aty)
% Number of functors : 23 ( 23 usr; 23 con; 0-0 aty)
% Number of variables : 272 ( 0 sgn 272 !; 0 ?; 210 :)
% Comments :
%------------------------------------------------------------------------------
fof(f23,negated_conjecture,
( ndr1_0
| ~ hskp36 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f24,negated_conjecture,
( ndr1_0
| ~ hskp35 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
fof(f54,negated_conjecture,
( ndr1_0
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f59,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f61,negated_conjecture,
( hskp36
| hskp35
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( hskp6
| hskp37
| hskp34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( hskp12
| hskp3
| hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f65,negated_conjecture,
( c0_1(a2252)
| ~ hskp58 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f69,negated_conjecture,
( c2_1(a2242)
| ~ hskp56 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f93,negated_conjecture,
( c0_1(a2218)
| ~ hskp46 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f94,negated_conjecture,
( c2_1(a2218)
| ~ hskp46 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f98,negated_conjecture,
( c2_1(a2215)
| ~ hskp44 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( c1_1(a2215)
| ~ hskp44 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( c3_1(a2208)
| ~ hskp43 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( c0_1(a2208)
| ~ hskp43 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( c1_1(a2207)
| ~ hskp42 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( c0_1(a2207)
| ~ hskp42 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f106,negated_conjecture,
( c2_1(a2204)
| ~ hskp40 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( c3_1(a2204)
| ~ hskp40 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f110,negated_conjecture,
( c1_1(a2196)
| ~ hskp37 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( c2_1(a2196)
| ~ hskp37 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
fof(f116,negated_conjecture,
( c1_1(a2189)
| ~ hskp34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( c3_1(a2189)
| ~ hskp34 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( c1_1(a2188)
| ~ hskp33 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( c0_1(a2186)
| ~ hskp32 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( c1_1(a2185)
| ~ hskp31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( c3_1(a2185)
| ~ hskp31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f129,negated_conjecture,
( c0_1(a2178)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( c2_1(a2178)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f138,negated_conjecture,
( c1_1(a2237)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f139,negated_conjecture,
( c0_1(a2237)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f140,negated_conjecture,
( c0_1(a2222)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f141,negated_conjecture,
( c3_1(a2222)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f142,negated_conjecture,
( c2_1(a2221)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f147,negated_conjecture,
( c2_1(a2211)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f148,negated_conjecture,
( c0_1(a2209)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f154,negated_conjecture,
( c2_1(a2190)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f155,negated_conjecture,
( c3_1(a2187)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f156,negated_conjecture,
( c1_1(a2187)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f158,negated_conjecture,
( ~ hskp58
| ~ c2_1(a2252) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f159,negated_conjecture,
( ~ hskp58
| ~ c1_1(a2252) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
fof(f160,negated_conjecture,
( ~ hskp56
| ~ c1_1(a2242) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f161,negated_conjecture,
( ~ hskp56
| ~ c3_1(a2242) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f166,negated_conjecture,
( ~ hskp46
| ~ c3_1(a2218) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f167,negated_conjecture,
( ~ hskp44
| ~ c0_1(a2215) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f168,negated_conjecture,
( ~ hskp43
| ~ c2_1(a2208) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f169,negated_conjecture,
( ~ hskp42
| ~ c3_1(a2207) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f171,negated_conjecture,
( ~ hskp40
| ~ c1_1(a2204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f176,negated_conjecture,
( ~ hskp37
| ~ c0_1(a2196) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f179,negated_conjecture,
( ~ hskp34
| ~ c0_1(a2189) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f180,negated_conjecture,
( ~ hskp33
| ~ c3_1(a2188) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
fof(f181,negated_conjecture,
( ~ hskp33
| ~ c2_1(a2188) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f182,negated_conjecture,
( ~ hskp32
| ~ c3_1(a2186) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f183,negated_conjecture,
( ~ hskp32
| ~ c2_1(a2186) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f184,negated_conjecture,
( ~ hskp31
| ~ c2_1(a2185) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
fof(f190,negated_conjecture,
( ~ hskp26
| ~ c3_1(a2178) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
fof(f199,negated_conjecture,
( ~ hskp20
| ~ c3_1(a2237) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).
fof(f203,negated_conjecture,
( ~ hskp18
| ~ c2_1(a2222) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).
fof(f204,negated_conjecture,
( ~ hskp17
| ~ c0_1(a2221) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).
fof(f205,negated_conjecture,
( ~ hskp17
| ~ c3_1(a2221) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause205) ).
fof(f214,negated_conjecture,
( ~ hskp12
| ~ c1_1(a2211) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause214) ).
fof(f215,negated_conjecture,
( ~ hskp12
| ~ c3_1(a2211) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause215) ).
fof(f216,negated_conjecture,
( ~ hskp11
| ~ c1_1(a2209) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause216) ).
fof(f217,negated_conjecture,
( ~ hskp11
| ~ c2_1(a2209) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause217) ).
fof(f218,negated_conjecture,
( ~ hskp10
| ~ c2_1(a2206) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause218) ).
fof(f219,negated_conjecture,
( ~ hskp10
| ~ c0_1(a2206) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause219) ).
fof(f220,negated_conjecture,
( ~ hskp10
| ~ c3_1(a2206) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause220) ).
fof(f227,negated_conjecture,
( ~ hskp6
| ~ c0_1(a2197) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause227) ).
fof(f228,negated_conjecture,
( ~ hskp6
| ~ c3_1(a2197) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause228) ).
fof(f229,negated_conjecture,
( ~ hskp6
| ~ c1_1(a2197) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause229) ).
fof(f234,negated_conjecture,
( ~ hskp3
| ~ c1_1(a2190) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause234) ).
fof(f235,negated_conjecture,
( ~ hskp3
| ~ c0_1(a2190) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause235) ).
fof(f236,negated_conjecture,
( ~ hskp2
| ~ c2_1(a2187) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause236) ).
fof(f239,negated_conjecture,
( ~ hskp0
| ~ c0_1(a2181) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause239) ).
fof(f240,negated_conjecture,
( ~ hskp0
| ~ c1_1(a2181) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause240) ).
fof(f241,negated_conjecture,
( ~ hskp0
| ~ c2_1(a2181) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause241) ).
fof(f243,negated_conjecture,
! [X0] :
( hskp2
| hskp32
| c0_1(X0)
| c1_1(X0)
| c3_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause243) ).
fof(f244,negated_conjecture,
! [X0] :
( hskp43
| hskp42
| c0_1(X0)
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause244) ).
fof(f245,negated_conjecture,
! [X0] :
( c2_1(X0)
| hskp18
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause245) ).
fof(f246,negated_conjecture,
! [X0] :
( c1_1(X0)
| hskp58
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause246) ).
fof(f255,negated_conjecture,
! [X0] :
( hskp17
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause255) ).
fof(f256,negated_conjecture,
! [X0] :
( hskp0
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause256) ).
fof(f259,negated_conjecture,
! [X0] :
( hskp34
| hskp46
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause259) ).
fof(f260,negated_conjecture,
! [X0] :
( hskp31
| hskp18
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause260) ).
fof(f267,negated_conjecture,
! [X0,X1] :
( hskp40
| c3_1(X1)
| c1_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause267) ).
fof(f269,negated_conjecture,
! [X0,X1] :
( hskp33
| c3_1(X1)
| c1_1(X1)
| c0_1(X0)
| c2_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause269) ).
fof(f270,negated_conjecture,
! [X0,X1] :
( hskp32
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| c2_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause270) ).
fof(f272,negated_conjecture,
! [X0,X1] :
( hskp26
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause272) ).
fof(f273,negated_conjecture,
! [X0,X1] :
( hskp3
| c1_1(X1)
| c1_1(X0)
| c3_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause273) ).
fof(f276,negated_conjecture,
! [X0,X1] :
( hskp56
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause276) ).
fof(f277,negated_conjecture,
! [X0,X1] :
( hskp56
| c0_1(X1)
| c3_1(X1)
| c3_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause277) ).
fof(f278,negated_conjecture,
! [X0,X1] :
( hskp44
| c2_1(X1)
| c1_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause278) ).
fof(f280,negated_conjecture,
! [X0,X1] :
( hskp20
| c1_1(X0)
| c3_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause280) ).
fof(f281,negated_conjecture,
! [X0,X1] :
( hskp10
| c2_1(X1)
| c2_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause281) ).
fof(f282,negated_conjecture,
! [X0,X1] :
( hskp40
| c2_1(X1)
| c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause282) ).
fof(f284,negated_conjecture,
! [X0,X1] :
( hskp33
| c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause284) ).
fof(f285,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X0)
| c0_1(X2)
| c2_1(X2)
| c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause285) ).
fof(f286,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause286) ).
fof(f288,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c3_1(X2)
| c3_1(X1)
| c1_1(X0)
| c0_1(X0)
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause288) ).
fof(f289,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c0_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause289) ).
fof(f290,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c1_1(X0)
| c2_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause290) ).
fof(f291,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c3_1(X2)
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause291) ).
fof(f292,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause292) ).
fof(f293,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause293) ).
fof(f294,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c0_1(X1)
| c3_1(X1)
| c3_1(X0)
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause294) ).
fof(f296,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c3_1(X2)
| c0_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause296) ).
tcf(c_367,negated_conjecture,
( ndr1_0
| ~ hskp36 ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_368,negated_conjecture,
( ndr1_0
| ~ hskp35 ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_398,negated_conjecture,
( ndr1_0
| ~ hskp5 ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_403,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_405,negated_conjecture,
( hskp5
| hskp35
| hskp36 ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_406,negated_conjecture,
( hskp6
| hskp34
| hskp37 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_407,negated_conjecture,
( hskp3
| hskp11
| hskp12 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_409,negated_conjecture,
( c0_1(a2252)
| ~ hskp58 ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_413,negated_conjecture,
( c2_1(a2242)
| ~ hskp56 ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_437,negated_conjecture,
( c0_1(a2218)
| ~ hskp46 ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_438,negated_conjecture,
( c2_1(a2218)
| ~ hskp46 ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_442,negated_conjecture,
( c2_1(a2215)
| ~ hskp44 ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_443,negated_conjecture,
( c1_1(a2215)
| ~ hskp44 ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_444,negated_conjecture,
( c3_1(a2208)
| ~ hskp43 ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_445,negated_conjecture,
( c0_1(a2208)
| ~ hskp43 ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_446,negated_conjecture,
( c1_1(a2207)
| ~ hskp42 ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_447,negated_conjecture,
( c0_1(a2207)
| ~ hskp42 ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_450,negated_conjecture,
( c2_1(a2204)
| ~ hskp40 ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_451,negated_conjecture,
( c3_1(a2204)
| ~ hskp40 ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_454,negated_conjecture,
( c1_1(a2196)
| ~ hskp37 ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_455,negated_conjecture,
( c2_1(a2196)
| ~ hskp37 ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_460,negated_conjecture,
( c1_1(a2189)
| ~ hskp34 ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_461,negated_conjecture,
( c3_1(a2189)
| ~ hskp34 ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_462,negated_conjecture,
( c1_1(a2188)
| ~ hskp33 ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_463,negated_conjecture,
( c0_1(a2186)
| ~ hskp32 ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_464,negated_conjecture,
( c1_1(a2185)
| ~ hskp31 ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_465,negated_conjecture,
( c3_1(a2185)
| ~ hskp31 ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_473,negated_conjecture,
( c0_1(a2178)
| ~ hskp26 ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_474,negated_conjecture,
( c2_1(a2178)
| ~ hskp26 ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_482,negated_conjecture,
( c1_1(a2237)
| ~ hskp20 ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_483,negated_conjecture,
( c0_1(a2237)
| ~ hskp20 ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_484,negated_conjecture,
( c0_1(a2222)
| ~ hskp18 ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_485,negated_conjecture,
( c3_1(a2222)
| ~ hskp18 ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_486,negated_conjecture,
( c2_1(a2221)
| ~ hskp17 ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_491,negated_conjecture,
( c2_1(a2211)
| ~ hskp12 ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_492,negated_conjecture,
( c0_1(a2209)
| ~ hskp11 ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_498,negated_conjecture,
( c2_1(a2190)
| ~ hskp3 ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_499,negated_conjecture,
( c3_1(a2187)
| ~ hskp2 ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_500,negated_conjecture,
( c1_1(a2187)
| ~ hskp2 ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_502,negated_conjecture,
( ~ hskp58
| ~ c2_1(a2252) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_503,negated_conjecture,
( ~ hskp58
| ~ c1_1(a2252) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_504,negated_conjecture,
( ~ hskp56
| ~ c1_1(a2242) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_505,negated_conjecture,
( ~ hskp56
| ~ c3_1(a2242) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_510,negated_conjecture,
( ~ hskp46
| ~ c3_1(a2218) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_511,negated_conjecture,
( ~ hskp44
| ~ c0_1(a2215) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_512,negated_conjecture,
( ~ hskp43
| ~ c2_1(a2208) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_513,negated_conjecture,
( ~ hskp42
| ~ c3_1(a2207) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_515,negated_conjecture,
( ~ hskp40
| ~ c1_1(a2204) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_520,negated_conjecture,
( ~ hskp37
| ~ c0_1(a2196) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_523,negated_conjecture,
( ~ hskp34
| ~ c0_1(a2189) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_524,negated_conjecture,
( ~ hskp33
| ~ c3_1(a2188) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_525,negated_conjecture,
( ~ hskp33
| ~ c2_1(a2188) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_526,negated_conjecture,
( ~ hskp32
| ~ c3_1(a2186) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_527,negated_conjecture,
( ~ hskp32
| ~ c2_1(a2186) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_528,negated_conjecture,
( ~ hskp31
| ~ c2_1(a2185) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_534,negated_conjecture,
( ~ hskp26
| ~ c3_1(a2178) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_543,negated_conjecture,
( ~ hskp20
| ~ c3_1(a2237) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_547,negated_conjecture,
( ~ hskp18
| ~ c2_1(a2222) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_548,negated_conjecture,
( ~ hskp17
| ~ c0_1(a2221) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_549,negated_conjecture,
( ~ hskp17
| ~ c3_1(a2221) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_558,negated_conjecture,
( ~ hskp12
| ~ c1_1(a2211) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_559,negated_conjecture,
( ~ hskp12
| ~ c3_1(a2211) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_560,negated_conjecture,
( ~ hskp11
| ~ c1_1(a2209) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_561,negated_conjecture,
( ~ hskp11
| ~ c2_1(a2209) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_562,negated_conjecture,
( ~ hskp10
| ~ c2_1(a2206) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_563,negated_conjecture,
( ~ hskp10
| ~ c0_1(a2206) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_564,negated_conjecture,
( ~ hskp10
| ~ c3_1(a2206) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_571,negated_conjecture,
( ~ hskp6
| ~ c0_1(a2197) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_572,negated_conjecture,
( ~ hskp6
| ~ c3_1(a2197) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_573,negated_conjecture,
( ~ hskp6
| ~ c1_1(a2197) ),
inference(cnf_transformation,[],[f229]) ).
tcf(c_578,negated_conjecture,
( ~ hskp3
| ~ c1_1(a2190) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_579,negated_conjecture,
( ~ hskp3
| ~ c0_1(a2190) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_580,negated_conjecture,
( ~ hskp2
| ~ c2_1(a2187) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_583,negated_conjecture,
( ~ hskp0
| ~ c0_1(a2181) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_584,negated_conjecture,
( ~ hskp0
| ~ c1_1(a2181) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_585,negated_conjecture,
( ~ hskp0
| ~ c2_1(a2181) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_587,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp32
| c3_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_588,negated_conjecture,
! [X0: $i] :
( hskp42
| hskp43
| c3_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_589,negated_conjecture,
! [X0: $i] :
( hskp18
| c2_1(X0)
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_590,negated_conjecture,
! [X0: $i] :
( hskp58
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_599,negated_conjecture,
! [X0: $i] :
( hskp17
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f255]) ).
tcf(c_600,negated_conjecture,
! [X0: $i] :
( hskp0
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f256]) ).
tcf(c_603,negated_conjecture,
! [X0: $i] :
( hskp34
| hskp46
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f259]) ).
tcf(c_604,negated_conjecture,
! [X0: $i] :
( hskp18
| hskp31
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f260]) ).
tcf(c_611,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp40
| c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f267]) ).
tcf(c_613,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp33
| c2_1(X1)
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_614,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp32
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_616,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp26
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_617,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_620,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp56
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_621,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp56
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_622,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp44
| c2_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_624,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp20
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_625,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c2_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_626,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp40
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_628,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp33
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_629,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_630,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_632,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c3_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_633,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X1)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_634,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_635,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c3_1(X1)
| c3_1(X0)
| c1_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_636,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c3_1(X0)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_637,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_638,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_640,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_668,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_403,c_405,c_398,c_368,c_367]) ).
tcf(c_786,negated_conjecture,
! [X0: $i] :
( hskp58
| c2_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_590,c_405,c_398,c_368,c_367,c_590]) ).
tcf(c_789,negated_conjecture,
! [X0: $i] :
( hskp18
| c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_589,c_589,c_668]) ).
tcf(c_792,negated_conjecture,
! [X0: $i] :
( hskp42
| hskp43
| c3_1(X0)
| c1_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_588,c_405,c_398,c_368,c_367,c_588]) ).
tcf(c_795,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp32
| c3_1(X0)
| c1_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_587,c_405,c_398,c_368,c_367,c_587]) ).
tcf(c_801,plain,
! [X0: $i] :
( hskp17
| c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_599,c_405,c_398,c_368,c_367,c_599]) ).
tcf(c_802,negated_conjecture,
! [X0: $i] :
( hskp17
| c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_801]) ).
tcf(c_834,negated_conjecture,
! [X0: $i] :
( hskp18
| hskp31
| c3_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_604,c_405,c_398,c_368,c_367,c_604,c_789]) ).
tcf(c_837,plain,
! [X0: $i] :
( hskp34
| hskp46
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_603,c_405,c_398,c_368,c_367,c_603]) ).
tcf(c_838,negated_conjecture,
! [X0: $i] :
( hskp34
| hskp46
| c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_837]) ).
tcf(c_846,plain,
! [X0: $i] :
( hskp0
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_600,c_405,c_398,c_368,c_367,c_600]) ).
tcf(c_847,negated_conjecture,
! [X0: $i] :
( hskp0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_846]) ).
tcf(c_858,plain,
! [X0: $i,X1: $i] :
( hskp32
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_614,c_405,c_398,c_368,c_367,c_614]) ).
tcf(c_859,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp32
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_858]) ).
tcf(c_861,plain,
! [X0: $i,X1: $i] :
( hskp33
| c2_1(X1)
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_613,c_405,c_398,c_368,c_367,c_613]) ).
tcf(c_862,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp33
| c2_1(X1)
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_861]) ).
tcf(c_865,plain,
! [X0: $i,X1: $i] :
( hskp40
| c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_611,c_405,c_398,c_368,c_367,c_611]) ).
tcf(c_866,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp40
| c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_865]) ).
tcf(c_869,plain,
! [X0: $i,X1: $i] :
( hskp56
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_621,c_405,c_398,c_368,c_367,c_621]) ).
tcf(c_870,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp56
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_869]) ).
tcf(c_871,plain,
! [X0: $i,X1: $i] :
( hskp56
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_620,c_405,c_398,c_368,c_367,c_620]) ).
tcf(c_872,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp56
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_871]) ).
tcf(c_877,plain,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_617,c_405,c_398,c_368,c_367,c_617]) ).
tcf(c_878,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_877]) ).
tcf(c_879,plain,
! [X0: $i,X1: $i] :
( hskp26
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_616,c_405,c_398,c_368,c_367,c_616]) ).
tcf(c_880,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp26
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_879]) ).
tcf(c_881,plain,
! [X0: $i,X1: $i] :
( hskp40
| c2_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_626,c_405,c_398,c_368,c_367,c_626]) ).
tcf(c_882,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp40
| c2_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_881]) ).
tcf(c_883,plain,
! [X0: $i,X1: $i] :
( hskp10
| c2_1(X1)
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_625,c_405,c_398,c_368,c_367,c_625]) ).
tcf(c_884,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c2_1(X1)
| c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_883]) ).
tcf(c_886,plain,
! [X0: $i,X1: $i] :
( hskp20
| c3_1(X0)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_624,c_405,c_398,c_368,c_367,c_624]) ).
tcf(c_887,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp20
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_886]) ).
tcf(c_891,plain,
! [X0: $i,X1: $i] :
( hskp44
| c2_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_622,c_405,c_398,c_368,c_367,c_622]) ).
tcf(c_892,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp44
| c2_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_891]) ).
tcf(c_894,plain,
! [X0: $i,X1: $i] :
( hskp33
| c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_628,c_405,c_398,c_368,c_367,c_628]) ).
tcf(c_895,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp33
| c0_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_894]) ).
tcf(c_899,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c1_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_630,c_405,c_398,c_368,c_367,c_630]) ).
tcf(c_900,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_899]) ).
tcf(c_901,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_629,c_405,c_398,c_368,c_367,c_629]) ).
tcf(c_902,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_901]) ).
tcf(c_903,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c3_1(X1)
| c3_1(X0)
| c1_1(X2)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_635,c_405,c_398,c_368,c_367,c_635]) ).
tcf(c_904,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c3_1(X1)
| c3_1(X0)
| c1_1(X2)
| c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_903]) ).
tcf(c_905,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_634,c_405,c_398,c_368,c_367,c_634]) ).
tcf(c_906,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_905]) ).
tcf(c_907,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X1)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_633,c_405,c_398,c_368,c_367,c_633]) ).
tcf(c_908,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X1)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_907]) ).
tcf(c_909,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c3_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_632,c_405,c_398,c_368,c_367,c_632]) ).
tcf(c_910,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c3_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_909]) ).
tcf(c_915,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_638,c_405,c_398,c_368,c_367,c_638]) ).
tcf(c_916,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_915]) ).
tcf(c_917,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_637,c_405,c_398,c_368,c_367,c_637]) ).
tcf(c_918,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c0_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_917]) ).
tcf(c_919,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c3_1(X0)
| c1_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_636,c_405,c_398,c_368,c_367,c_636]) ).
tcf(c_920,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c3_1(X0)
| c1_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_919]) ).
tcf(c_921,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_640,c_405,c_398,c_368,c_367,c_640]) ).
tcf(c_922,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_921]) ).
tcf(c_2504,plain,
( hskp3
| hskp11
| ~ c3_1(a2211) ),
inference(resolution,[status(thm)],[c_407,c_559]) ).
tcf(c_2514,plain,
( hskp3
| hskp11
| ~ c1_1(a2211) ),
inference(resolution,[status(thm)],[c_407,c_558]) ).
tcf(c_2524,plain,
( hskp3
| hskp11
| c2_1(a2211) ),
inference(resolution,[status(thm)],[c_407,c_491]) ).
tcf(c_2543,plain,
( hskp34
| hskp37
| ~ c1_1(a2197) ),
inference(resolution,[status(thm)],[c_406,c_573]) ).
tcf(c_2553,plain,
( hskp34
| hskp37
| ~ c3_1(a2197) ),
inference(resolution,[status(thm)],[c_406,c_572]) ).
tcf(c_2563,plain,
( hskp34
| hskp37
| ~ c0_1(a2197) ),
inference(resolution,[status(thm)],[c_406,c_571]) ).
tcf(c_5801,plain,
! [X0: $i] :
( c3_1(X0)
| ~ c3_1(a2221)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_802,c_549]) ).
tcf(c_5802,plain,
( c3_1(a2178)
| ~ c2_1(a2178)
| ~ c3_1(a2221)
| ~ c1_1(a2178) ),
inference(instantiation,[status(thm)],[c_5801]) ).
tcf(c_5815,plain,
! [X0: $i] :
( c3_1(X0)
| ~ c0_1(a2221)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_802,c_548]) ).
tcf(c_5816,plain,
( c3_1(a2178)
| ~ c2_1(a2178)
| ~ c1_1(a2178)
| ~ c0_1(a2221) ),
inference(instantiation,[status(thm)],[c_5815]) ).
tcf(c_5829,plain,
! [X0: $i] :
( c2_1(a2221)
| c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_802,c_486]) ).
tcf(c_5830,plain,
( c2_1(a2221)
| c3_1(a2178)
| ~ c2_1(a2178)
| ~ c1_1(a2178) ),
inference(instantiation,[status(thm)],[c_5829]) ).
tcf(c_5870,plain,
( hskp3
| c2_1(a2211)
| ~ c2_1(a2209) ),
inference(resolution,[status(thm)],[c_2524,c_561]) ).
tcf(c_5880,plain,
( hskp3
| c2_1(a2211)
| ~ c1_1(a2209) ),
inference(resolution,[status(thm)],[c_2524,c_560]) ).
tcf(c_5890,plain,
( hskp3
| c2_1(a2211)
| c0_1(a2209) ),
inference(resolution,[status(thm)],[c_2524,c_492]) ).
tcf(c_5900,plain,
( hskp3
| ~ c2_1(a2209)
| ~ c1_1(a2211) ),
inference(resolution,[status(thm)],[c_2514,c_561]) ).
tcf(c_5910,plain,
( hskp3
| ~ c1_1(a2209)
| ~ c1_1(a2211) ),
inference(resolution,[status(thm)],[c_2514,c_560]) ).
tcf(c_5920,plain,
( hskp3
| c0_1(a2209)
| ~ c1_1(a2211) ),
inference(resolution,[status(thm)],[c_2514,c_492]) ).
tcf(c_5930,plain,
( hskp3
| ~ c2_1(a2209)
| ~ c3_1(a2211) ),
inference(resolution,[status(thm)],[c_2504,c_561]) ).
tcf(c_5940,plain,
( hskp3
| ~ c3_1(a2211)
| ~ c1_1(a2209) ),
inference(resolution,[status(thm)],[c_2504,c_560]) ).
tcf(c_5950,plain,
( hskp3
| c0_1(a2209)
| ~ c3_1(a2211) ),
inference(resolution,[status(thm)],[c_2504,c_492]) ).
tcf(c_6761,plain,
( hskp34
| ~ c0_1(a2197)
| ~ c0_1(a2196) ),
inference(resolution,[status(thm)],[c_2563,c_520]) ).
tcf(c_6771,plain,
( hskp34
| c2_1(a2196)
| ~ c0_1(a2197) ),
inference(resolution,[status(thm)],[c_2563,c_455]) ).
tcf(c_6781,plain,
( hskp34
| c1_1(a2196)
| ~ c0_1(a2197) ),
inference(resolution,[status(thm)],[c_2563,c_454]) ).
tcf(c_6791,plain,
( hskp34
| ~ c3_1(a2197)
| ~ c0_1(a2196) ),
inference(resolution,[status(thm)],[c_2553,c_520]) ).
tcf(c_6801,plain,
( hskp34
| c2_1(a2196)
| ~ c3_1(a2197) ),
inference(resolution,[status(thm)],[c_2553,c_455]) ).
tcf(c_6811,plain,
( hskp34
| c1_1(a2196)
| ~ c3_1(a2197) ),
inference(resolution,[status(thm)],[c_2553,c_454]) ).
tcf(c_6821,plain,
( hskp34
| ~ c1_1(a2197)
| ~ c0_1(a2196) ),
inference(resolution,[status(thm)],[c_2543,c_520]) ).
tcf(c_6831,plain,
( hskp34
| c2_1(a2196)
| ~ c1_1(a2197) ),
inference(resolution,[status(thm)],[c_2543,c_455]) ).
tcf(c_6841,plain,
( hskp34
| c1_1(a2196)
| ~ c1_1(a2197) ),
inference(resolution,[status(thm)],[c_2543,c_454]) ).
tcf(c_14988,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_922]) ).
tcf(c_14989,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_922]) ).
tcf(c_14990,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_922]) ).
tcf(c_14991,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_922]) ).
tcf(c_14992,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_920]) ).
tcf(c_14993,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| c1_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_920]) ).
tcf(c_14994,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_920]) ).
tcf(c_14995,negated_conjecture,
( iPr_def_15
| iPr_def_14
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_920]) ).
tcf(c_14996,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| ~ c1_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_918]) ).
tcf(c_14997,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_918]) ).
tcf(c_14998,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_918]) ).
tcf(c_14999,negated_conjecture,
( iPr_def_18
| iPr_def_17
| iPr_def_16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_918]) ).
tcf(c_15000,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| ~ c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_916]) ).
tcf(c_15001,negated_conjecture,
( iPr_def_19
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_916]) ).
tcf(c_15007,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_910]) ).
tcf(c_15008,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| ~ c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_910]) ).
tcf(c_15009,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_910]) ).
tcf(c_15010,negated_conjecture,
( iPr_def_25
| iPr_def_24
| iPr_def_23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_910]) ).
tcf(c_15011,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_26
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_908]) ).
tcf(c_15013,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_27
| ~ c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_906]) ).
tcf(c_15014,negated_conjecture,
( iPr_def_27
| iPr_def_26
| iPr_def_23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_906]) ).
tcf(c_15015,negated_conjecture,
( iPr_def_25
| iPr_def_23
| iPr_def_15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_904]) ).
tcf(c_15016,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_902]) ).
tcf(c_15017,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| c1_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_902]) ).
tcf(c_15018,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_30
| ~ c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_902]) ).
tcf(c_15019,negated_conjecture,
( iPr_def_30
| iPr_def_29
| iPr_def_28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_902]) ).
tcf(c_15020,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_900]) ).
tcf(c_15021,negated_conjecture,
( iPr_def_31
| iPr_def_30
| iPr_def_29 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_900]) ).
tcf(c_15023,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_895]) ).
tcf(c_15024,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_33
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_895]) ).
tcf(c_15025,negated_conjecture,
( iPr_def_33
| iPr_def_32
| hskp33 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_895]) ).
tcf(c_15026,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_34
| ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_892]) ).
tcf(c_15027,negated_conjecture,
( iPr_def_34
| iPr_def_30
| hskp44 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_892]) ).
tcf(c_15029,negated_conjecture,
( iPr_def_32
| iPr_def_24
| hskp20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_887]) ).
tcf(c_15030,negated_conjecture,
( iPr_def_30
| iPr_def_16
| hskp10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_884]) ).
tcf(c_15031,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_35
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_882]) ).
tcf(c_15032,negated_conjecture,
( iPr_def_35
| iPr_def_30
| hskp40 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_882]) ).
tcf(c_15033,negated_conjecture,
( iPr_def_23
| iPr_def_10
| hskp26 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_880]) ).
tcf(c_15034,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_36
| c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_878]) ).
tcf(c_15035,negated_conjecture,
( iPr_def_36
| iPr_def_26
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_878]) ).
tcf(c_15038,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_37
| ~ c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_872]) ).
tcf(c_15039,negated_conjecture,
( iPr_def_37
| iPr_def_27
| hskp56 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_872]) ).
tcf(c_15040,negated_conjecture,
( iPr_def_25
| iPr_def_11
| hskp56 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_870]) ).
tcf(c_15042,negated_conjecture,
( iPr_def_24
| iPr_def_14
| hskp40 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_866]) ).
tcf(c_15045,negated_conjecture,
( iPr_def_24
| iPr_def_17
| hskp33 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_862]) ).
tcf(c_15046,negated_conjecture,
( iPr_def_27
| iPr_def_14
| hskp32 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_859]) ).
tcf(c_15054,negated_conjecture,
( iPr_def_34
| hskp34
| hskp46 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_838]) ).
tcf(c_15055,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_40
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_834]) ).
tcf(c_15056,negated_conjecture,
( iPr_def_40
| hskp18
| hskp31 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_834]) ).
tcf(c_15068,negated_conjecture,
( iPr_def_31
| hskp2
| hskp32 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_795]) ).
tcf(c_15069,negated_conjecture,
( iPr_def_31
| hskp42
| hskp43 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_792]) ).
tcf(c_15082,plain,
( c3_1(a2178)
| c1_1(a2178)
| ~ iPr_def_24
| ~ c0_1(a2178) ),
inference(instantiation,[status(thm)],[c_15008]) ).
tcf(c_15090,plain,
( c3_1(a2178)
| ~ iPr_def_19
| ~ c1_1(a2178)
| ~ c0_1(a2178) ),
inference(instantiation,[status(thm)],[c_15000]) ).
tcf(c_15091,plain,
( c3_1(a2178)
| ~ iPr_def_25
| ~ c2_1(a2178)
| ~ c0_1(a2178) ),
inference(instantiation,[status(thm)],[c_15009]) ).
tcf(c_15113,plain,
( hskp17
| c3_1(a2207)
| ~ c2_1(a2207)
| ~ c1_1(a2207) ),
inference(instantiation,[status(thm)],[c_802]) ).
tcf(c_15129,plain,
( hskp0
| ~ c2_1(a2237)
| ~ c1_1(a2237)
| ~ c0_1(a2237) ),
inference(instantiation,[status(thm)],[c_847]) ).
tcf(c_15135,plain,
( c0_1(a2189)
| ~ iPr_def_10
| ~ c3_1(a2189)
| ~ c1_1(a2189) ),
inference(instantiation,[status(thm)],[c_14988]) ).
tcf(c_15141,plain,
( c0_1(a2187)
| ~ iPr_def_10
| ~ c3_1(a2187)
| ~ c1_1(a2187) ),
inference(instantiation,[status(thm)],[c_14988]) ).
tcf(c_15155,plain,
( ~ iPr_def_13
| ~ c2_1(a2207)
| ~ c1_1(a2207)
| ~ c0_1(a2207) ),
inference(instantiation,[status(thm)],[c_14992]) ).
tcf(c_15160,plain,
( ~ iPr_def_13
| ~ c2_1(a2237)
| ~ c1_1(a2237)
| ~ c0_1(a2237) ),
inference(instantiation,[status(thm)],[c_14992]) ).
tcf(c_15170,plain,
( c2_1(a2222)
| c1_1(a2222)
| ~ iPr_def_14
| ~ c3_1(a2222) ),
inference(instantiation,[status(thm)],[c_14993]) ).
tcf(c_15180,plain,
( c2_1(a2222)
| ~ iPr_def_16
| ~ c3_1(a2222)
| ~ c1_1(a2222) ),
inference(instantiation,[status(thm)],[c_14996]) ).
tcf(c_15182,plain,
( c2_1(a2187)
| ~ iPr_def_16
| ~ c3_1(a2187)
| ~ c1_1(a2187) ),
inference(instantiation,[status(thm)],[c_14996]) ).
tcf(c_15194,plain,
( c1_1(a2190)
| c0_1(a2190)
| ~ iPr_def_23
| ~ c2_1(a2190) ),
inference(instantiation,[status(thm)],[c_15007]) ).
tcf(c_15213,plain,
( c0_1(a2189)
| ~ iPr_def_33
| ~ c2_1(a2189)
| ~ c1_1(a2189) ),
inference(instantiation,[status(thm)],[c_15024]) ).
tcf(c_15237,plain,
( c1_1(a2221)
| c0_1(a2221)
| ~ iPr_def_23
| ~ c2_1(a2221) ),
inference(instantiation,[status(thm)],[c_15007]) ).
tcf(c_15256,plain,
( c3_1(a2215)
| c0_1(a2215)
| ~ iPr_def_11
| ~ c2_1(a2215) ),
inference(instantiation,[status(thm)],[c_14989]) ).
tcf(c_15264,plain,
( c3_1(a2221)
| c0_1(a2221)
| ~ iPr_def_11
| ~ c2_1(a2221) ),
inference(instantiation,[status(thm)],[c_14989]) ).
tcf(c_15282,plain,
( c2_1(a2185)
| ~ iPr_def_16
| ~ c3_1(a2185)
| ~ c1_1(a2185) ),
inference(instantiation,[status(thm)],[c_14996]) ).
tcf(c_15285,plain,
( c0_1(a2185)
| ~ iPr_def_10
| ~ c3_1(a2185)
| ~ c1_1(a2185) ),
inference(instantiation,[status(thm)],[c_14988]) ).
tcf(c_15290,plain,
( c1_1(a2204)
| c0_1(a2204)
| ~ iPr_def_23
| ~ c2_1(a2204) ),
inference(instantiation,[status(thm)],[c_15007]) ).
tcf(c_15349,plain,
( c2_1(a2206)
| c3_1(a2206)
| c1_1(a2206)
| ~ iPr_def_29 ),
inference(instantiation,[status(thm)],[c_15017]) ).
tcf(c_15358,plain,
( c2_1(a2189)
| c0_1(a2189)
| ~ iPr_def_17
| ~ c1_1(a2189) ),
inference(instantiation,[status(thm)],[c_14997]) ).
tcf(c_15360,plain,
( c2_1(a2185)
| c0_1(a2185)
| ~ iPr_def_17
| ~ c1_1(a2185) ),
inference(instantiation,[status(thm)],[c_14997]) ).
tcf(c_15399,plain,
( c1_1(a2204)
| ~ iPr_def_26
| ~ c2_1(a2204)
| ~ c3_1(a2204) ),
inference(instantiation,[status(thm)],[c_15011]) ).
tcf(c_15452,plain,
( c2_1(a2181)
| c3_1(a2181)
| c1_1(a2181)
| ~ iPr_def_29 ),
inference(instantiation,[status(thm)],[c_15017]) ).
tcf(c_15473,plain,
( c2_1(a2222)
| ~ iPr_def_18
| ~ c1_1(a2222)
| ~ c0_1(a2222) ),
inference(instantiation,[status(thm)],[c_14998]) ).
tcf(c_15479,plain,
( c1_1(a2242)
| c0_1(a2242)
| ~ iPr_def_23
| ~ c2_1(a2242) ),
inference(instantiation,[status(thm)],[c_15007]) ).
tcf(c_15491,plain,
( c2_1(a2222)
| ~ iPr_def_30
| ~ c3_1(a2222)
| ~ c0_1(a2222) ),
inference(instantiation,[status(thm)],[c_15018]) ).
tcf(c_15504,plain,
( c3_1(a2181)
| c1_1(a2181)
| c0_1(a2181)
| ~ iPr_def_31 ),
inference(instantiation,[status(thm)],[c_15020]) ).
tcf(c_15508,plain,
( c0_1(a2221)
| ~ iPr_def_33
| ~ c2_1(a2221)
| ~ c1_1(a2221) ),
inference(instantiation,[status(thm)],[c_15024]) ).
tcf(c_15520,plain,
( c2_1(a2209)
| c3_1(a2209)
| ~ iPr_def_15
| ~ c0_1(a2209) ),
inference(instantiation,[status(thm)],[c_14994]) ).
tcf(c_15532,plain,
( c2_1(a2206)
| c3_1(a2206)
| c0_1(a2206)
| ~ iPr_def_28 ),
inference(instantiation,[status(thm)],[c_15016]) ).
tcf(c_15543,plain,
( hskp58
| c2_1(a2209)
| c1_1(a2209)
| ~ c3_1(a2209) ),
inference(instantiation,[status(thm)],[c_786]) ).
tcf(c_15545,plain,
( hskp58
| c2_1(a2181)
| c1_1(a2181)
| ~ c3_1(a2181) ),
inference(instantiation,[status(thm)],[c_786]) ).
tcf(c_15561,plain,
( c2_1(a2209)
| c1_1(a2209)
| ~ iPr_def_14
| ~ c3_1(a2209) ),
inference(instantiation,[status(thm)],[c_14993]) ).
tcf(c_15563,plain,
( c2_1(a2181)
| c1_1(a2181)
| ~ iPr_def_14
| ~ c3_1(a2181) ),
inference(instantiation,[status(thm)],[c_14993]) ).
tcf(c_15570,plain,
( c3_1(a2209)
| c1_1(a2209)
| ~ iPr_def_24
| ~ c0_1(a2209) ),
inference(instantiation,[status(thm)],[c_15008]) ).
tcf(c_15578,plain,
( c2_1(a2222)
| c1_1(a2222)
| ~ iPr_def_27
| ~ c0_1(a2222) ),
inference(instantiation,[status(thm)],[c_15013]) ).
tcf(c_15580,plain,
( c2_1(a2209)
| c1_1(a2209)
| ~ iPr_def_27
| ~ c0_1(a2209) ),
inference(instantiation,[status(thm)],[c_15013]) ).
tcf(c_15584,plain,
( c3_1(a2242)
| c1_1(a2242)
| ~ iPr_def_36
| ~ c2_1(a2242) ),
inference(instantiation,[status(thm)],[c_15034]) ).
tcf(c_15630,plain,
( hskp18
| c2_1(a2206)
| c3_1(a2206)
| ~ c1_1(a2206) ),
inference(instantiation,[status(thm)],[c_789]) ).
tcf(c_15786,plain,
( c3_1(a2242)
| c1_1(a2242)
| ~ iPr_def_24
| ~ c0_1(a2242) ),
inference(instantiation,[status(thm)],[c_15008]) ).
tcf(c_15801,plain,
( c3_1(a2211)
| c1_1(a2211)
| c0_1(a2211)
| ~ iPr_def_31 ),
inference(instantiation,[status(thm)],[c_15020]) ).
tcf(c_15802,plain,
( c1_1(a2211)
| c0_1(a2211)
| ~ iPr_def_23
| ~ c2_1(a2211) ),
inference(instantiation,[status(thm)],[c_15007]) ).
tcf(c_16120,plain,
( c2_1(a2252)
| c1_1(a2252)
| ~ iPr_def_27
| ~ c0_1(a2252) ),
inference(instantiation,[status(thm)],[c_15013]) ).
tcf(c_16121,plain,
( c3_1(a2252)
| c1_1(a2252)
| ~ iPr_def_24
| ~ c0_1(a2252) ),
inference(instantiation,[status(thm)],[c_15008]) ).
tcf(c_16123,plain,
( c2_1(a2252)
| c3_1(a2252)
| ~ iPr_def_15
| ~ c0_1(a2252) ),
inference(instantiation,[status(thm)],[c_14994]) ).
tcf(c_16124,plain,
( c2_1(a2252)
| ~ iPr_def_30
| ~ c3_1(a2252)
| ~ c0_1(a2252) ),
inference(instantiation,[status(thm)],[c_15018]) ).
tcf(c_16127,plain,
( c1_1(a2252)
| ~ iPr_def_34
| ~ c3_1(a2252)
| ~ c0_1(a2252) ),
inference(instantiation,[status(thm)],[c_15026]) ).
tcf(c_16130,plain,
( c2_1(a2252)
| c1_1(a2252)
| ~ iPr_def_14
| ~ c3_1(a2252) ),
inference(instantiation,[status(thm)],[c_14993]) ).
tcf(c_16134,plain,
( c2_1(a2252)
| c3_1(a2252)
| c1_1(a2252)
| ~ iPr_def_29 ),
inference(instantiation,[status(thm)],[c_15017]) ).
tcf(c_16174,plain,
( c2_1(a2206)
| c0_1(a2206)
| ~ iPr_def_17
| ~ c1_1(a2206) ),
inference(instantiation,[status(thm)],[c_14997]) ).
tcf(c_16184,plain,
( ~ iPr_def_12
| ~ c2_1(a2211)
| ~ c3_1(a2211)
| ~ c0_1(a2211) ),
inference(instantiation,[status(thm)],[c_14990]) ).
tcf(c_16188,plain,
( c3_1(a2211)
| ~ iPr_def_19
| ~ c1_1(a2211)
| ~ c0_1(a2211) ),
inference(instantiation,[status(thm)],[c_15000]) ).
tcf(c_16190,plain,
( c3_1(a2211)
| c1_1(a2211)
| ~ iPr_def_24
| ~ c0_1(a2211) ),
inference(instantiation,[status(thm)],[c_15008]) ).
tcf(c_16212,plain,
( c3_1(a2197)
| c1_1(a2197)
| c0_1(a2197)
| ~ iPr_def_31 ),
inference(instantiation,[status(thm)],[c_15020]) ).
tcf(c_16443,plain,
( c0_1(a2215)
| ~ iPr_def_10
| ~ c3_1(a2215)
| ~ c1_1(a2215) ),
inference(instantiation,[status(thm)],[c_14988]) ).
tcf(c_16464,plain,
( c0_1(a2196)
| ~ iPr_def_10
| ~ c3_1(a2196)
| ~ c1_1(a2196) ),
inference(instantiation,[status(thm)],[c_14988]) ).
tcf(c_16496,plain,
( c2_1(a2187)
| ~ iPr_def_30
| ~ c3_1(a2187)
| ~ c0_1(a2187) ),
inference(instantiation,[status(thm)],[c_15018]) ).
tcf(c_16497,plain,
( c2_1(a2185)
| ~ iPr_def_30
| ~ c3_1(a2185)
| ~ c0_1(a2185) ),
inference(instantiation,[status(thm)],[c_15018]) ).
tcf(c_16498,plain,
( c2_1(a2211)
| ~ iPr_def_30
| ~ c3_1(a2211)
| ~ c0_1(a2211) ),
inference(instantiation,[status(thm)],[c_15018]) ).
tcf(c_16499,plain,
( c2_1(a2208)
| ~ iPr_def_30
| ~ c3_1(a2208)
| ~ c0_1(a2208) ),
inference(instantiation,[status(thm)],[c_15018]) ).
tcf(c_16510,plain,
( ~ iPr_def_32
| ~ c2_1(a2196)
| ~ c3_1(a2196)
| ~ c1_1(a2196) ),
inference(instantiation,[status(thm)],[c_15023]) ).
tcf(c_16512,plain,
( ~ iPr_def_32
| ~ c2_1(a2189)
| ~ c3_1(a2189)
| ~ c1_1(a2189) ),
inference(instantiation,[status(thm)],[c_15023]) ).
tcf(c_16569,plain,
( c3_1(a2196)
| ~ iPr_def_40
| ~ c1_1(a2196) ),
inference(instantiation,[status(thm)],[c_15055]) ).
tcf(c_16608,plain,
( c2_1(a2186)
| c3_1(a2186)
| ~ iPr_def_15
| ~ c0_1(a2186) ),
inference(instantiation,[status(thm)],[c_14994]) ).
tcf(c_16620,plain,
( c2_1(a2186)
| ~ iPr_def_18
| ~ c1_1(a2186)
| ~ c0_1(a2186) ),
inference(instantiation,[status(thm)],[c_14998]) ).
tcf(c_16649,plain,
( c3_1(a2186)
| c1_1(a2186)
| ~ iPr_def_24
| ~ c0_1(a2186) ),
inference(instantiation,[status(thm)],[c_15008]) ).
tcf(c_16681,plain,
( c2_1(a2186)
| c3_1(a2186)
| c1_1(a2186)
| ~ iPr_def_29 ),
inference(instantiation,[status(thm)],[c_15017]) ).
tcf(c_17103,negated_conjecture,
( iPr_def_30
| iPr_def_16 ),
inference(global_subsumption_just,[status(thm)],[c_15030,c_485,c_484,c_463,c_564,c_563,c_562,c_547,c_527,c_526,c_14999,c_15019,c_15030,c_15046,c_15170,c_15349,c_15473,c_15532,c_15578,c_15630,c_16174,c_16620,c_16681]) ).
tcf(c_17139,negated_conjecture,
( iPr_def_23
| iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_15033,c_474,c_473,c_534,c_5802,c_5816,c_5830,c_15001,c_15010,c_15033,c_15082,c_15090,c_15091,c_15264]) ).
tcf(c_17154,plain,
( c3_1(a2207)
| ~ iPr_def_40
| ~ c1_1(a2207) ),
inference(instantiation,[status(thm)],[c_15055]) ).
tcf(c_17216,plain,
( ~ iPr_def_32
| ~ c2_1(a2211)
| ~ c3_1(a2211)
| ~ c1_1(a2211) ),
inference(instantiation,[status(thm)],[c_15023]) ).
tcf(c_18054,plain,
( hskp0
| ~ hskp42
| ~ c2_1(a2207)
| ~ c0_1(a2207) ),
inference(superposition,[status(thm)],[c_446,c_847]) ).
tcf(c_18551,plain,
( c2_1(a2208)
| ~ iPr_def_16
| ~ c3_1(a2208)
| ~ c1_1(a2208) ),
inference(instantiation,[status(thm)],[c_14996]) ).
tcf(c_18776,plain,
( c3_1(a2186)
| ~ iPr_def_19
| ~ c1_1(a2186)
| ~ c0_1(a2186) ),
inference(instantiation,[status(thm)],[c_15000]) ).
tcf(c_19447,plain,
( c3_1(a2218)
| ~ iPr_def_25
| ~ c2_1(a2218)
| ~ c0_1(a2218) ),
inference(instantiation,[status(thm)],[c_15009]) ).
tcf(c_19481,plain,
( hskp58
| c2_1(a2208)
| c1_1(a2208)
| ~ hskp43 ),
inference(superposition,[status(thm)],[c_444,c_786]) ).
tcf(c_19492,plain,
( hskp58
| c2_1(a2222)
| c1_1(a2222)
| ~ hskp18 ),
inference(superposition,[status(thm)],[c_485,c_786]) ).
tcf(c_19673,plain,
( c0_1(a2215)
| ~ iPr_def_35
| ~ c2_1(a2215)
| ~ c3_1(a2215) ),
inference(instantiation,[status(thm)],[c_15031]) ).
tcf(c_19711,plain,
( c1_1(a2204)
| ~ iPr_def_37
| ~ c2_1(a2204)
| ~ c0_1(a2204) ),
inference(instantiation,[status(thm)],[c_15038]) ).
tcf(c_19866,plain,
( hskp18
| c2_1(a2207)
| c3_1(a2207)
| ~ hskp42 ),
inference(superposition,[status(thm)],[c_446,c_789]) ).
tcf(c_19872,plain,
( hskp18
| c2_1(a2188)
| c3_1(a2188)
| ~ hskp33 ),
inference(superposition,[status(thm)],[c_462,c_789]) ).
tcf(c_19876,plain,
( hskp18
| c2_1(a2237)
| c3_1(a2237)
| ~ hskp20 ),
inference(superposition,[status(thm)],[c_482,c_789]) ).
tcf(c_20159,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_19866,c_19872,c_19876,c_19711,c_19673,c_19481,c_19492,c_19447,c_18776,c_18551,c_18054,c_17216,c_17154,c_17139,c_17103,c_16649,c_16620,c_16608,c_16569,c_16512,c_16510,c_16499,c_16498,c_16497,c_16496,c_16464,c_16443,c_16212,c_16190,c_16188,c_16184,c_16127,c_16130,c_16134,c_16120,c_16121,c_16123,c_16124,c_15801,c_15802,c_15786,c_15584,c_15580,c_15578,c_15570,c_15563,c_15561,c_15545,c_15543,c_15520,c_15508,c_15504,c_15491,c_15479,c_15452,c_15399,c_15360,c_15358,c_15290,c_15282,c_15285,c_15264,c_15256,c_15237,c_15213,c_15194,c_15182,c_15180,c_15170,c_15160,c_15155,c_15141,c_15135,c_15129,c_15113,c_15069,c_15068,c_15056,c_15054,c_15046,c_15045,c_15042,c_15040,c_15039,c_15035,c_15032,c_15029,c_15027,c_15025,c_15021,c_15015,c_15014,c_15001,c_14999,c_14995,c_14991,c_6841,c_6831,c_6821,c_6811,c_6801,c_6791,c_6781,c_6771,c_6761,c_5950,c_5940,c_5930,c_5920,c_5910,c_5900,c_5890,c_5880,c_5870,c_502,c_503,c_504,c_505,c_510,c_511,c_512,c_513,c_515,c_523,c_524,c_525,c_526,c_527,c_528,c_543,c_547,c_548,c_549,c_578,c_579,c_580,c_583,c_584,c_585,c_409,c_413,c_437,c_438,c_442,c_443,c_444,c_445,c_446,c_447,c_450,c_451,c_460,c_461,c_463,c_464,c_465,c_482,c_483,c_484,c_485,c_486,c_498,c_499,c_500]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN460-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.39 % Computer : n010.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Fri Sep 25 01:19:14 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.43 Running EPR theorem proving
% 0.11/0.43 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
% 0.11/0.44
% 0.11/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 4.92/1.25 % SZS status Started for theBenchmark.p
% 4.92/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 4.92/1.25
% 4.92/1.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.92/1.25
% 4.92/1.25 % ------ iProver source info
% 4.92/1.25
% 4.92/1.25 % git: date: 2026-07-19 20:42:38 +0200
% 4.92/1.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.92/1.25 % git: non_committed_changes: false
% 4.92/1.25
% 4.92/1.25 % ------ Parsing...% successful
% 4.92/1.25
% 4.92/1.25
% 4.92/1.25 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.92/1.25 %
% 4.92/1.25
% 4.92/1.25 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.92/1.25
% 4.92/1.25 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.92/1.25 gs_s sp: 97 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.92/1.25 % ------ Proving...
% 4.92/1.25 % ------ Problem Properties
% 4.92/1.25
% 4.92/1.25 %
% 4.92/1.25 % clauses 263
% 4.92/1.25 % conjectures 248
% 4.92/1.25 % EPR 263
% 4.92/1.25 % Horn 178
% 4.92/1.25 % unary 0
% 4.92/1.25 % binary 162
% 4.92/1.25 % lits 661
% 4.92/1.25 % lits eq 0
% 4.92/1.25 % fd_pure 0
% 4.92/1.25 % fd_pseudo 0
% 4.92/1.25 % fd_cond 0
% 4.92/1.25 % fd_pseudo_cond 0
% 4.92/1.25 % AC symbols 0
% 4.92/1.25
% 4.92/1.25 % ------ Schedule EPR non Horn non eq is on
% 4.92/1.25
% 4.92/1.25 % ------ no equalities: superposition off
% 4.92/1.25
% 4.92/1.25 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.92/1.25
% 4.92/1.25
% 4.92/1.25 % ------
% 4.92/1.25 % Current options:
% 4.92/1.25 % ------
% 4.92/1.25
% 4.92/1.25
% 4.92/1.25 %
% 4.92/1.25
% 4.92/1.25 % ------ Proving...
% 4.92/1.25 %
% 4.92/1.25
% 4.92/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 4.92/1.25
% 4.92/1.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.92/1.26
% 4.92/1.26
%------------------------------------------------------------------------------