%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN478-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.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 03:40:26 PM UTC 2026
% Result : Unsatisfiable 2.95s 1.17s
% Output : CNFRefutation 2.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 104
% Syntax : Number of formulae : 447 ( 2 unt; 0 def)
% Number of atoms : 1969 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2474 ( 952 ~;1522 |; 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 : 58 ( 57 usr; 54 prp; 0-1 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 317 ( 0 sgn 317 !; 0 ?; 244 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( hskp12
| hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f5,negated_conjecture,
( ndr1_0
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f26,negated_conjecture,
( ndr1_0
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f32,negated_conjecture,
( ndr1_0
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f33,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f35,negated_conjecture,
( hskp9
| hskp2
| hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f38,negated_conjecture,
( hskp7
| hskp1
| hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f44,negated_conjecture,
( hskp23
| hskp1
| hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f46,negated_conjecture,
( hskp23
| hskp0
| hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( c0_1(a1372)
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( c1_1(a1372)
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( c3_1(a1372)
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f53,negated_conjecture,
( c0_1(a1328)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f54,negated_conjecture,
( c2_1(a1328)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f56,negated_conjecture,
( c0_1(a1307)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f57,negated_conjecture,
( c1_1(a1307)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f58,negated_conjecture,
( c2_1(a1307)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( c0_1(a1411)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f63,negated_conjecture,
( c0_1(a1356)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( c1_1(a1356)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f71,negated_conjecture,
( c2_1(a1334)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( c3_1(a1334)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f74,negated_conjecture,
( c1_1(a1331)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( c2_1(a1331)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( c0_1(a1330)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( c1_1(a1325)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( c3_1(a1325)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( c0_1(a1324)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( c3_1(a1324)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f83,negated_conjecture,
( c2_1(a1320)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( c2_1(a1319)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( c3_1(a1315)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f87,negated_conjecture,
( c0_1(a1312)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( c0_1(a1311)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f89,negated_conjecture,
( c2_1(a1311)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f90,negated_conjecture,
( c1_1(a1309)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
fof(f91,negated_conjecture,
( c3_1(a1309)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
fof(f92,negated_conjecture,
( c3_1(a1308)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
fof(f93,negated_conjecture,
( ~ hskp26
| ~ c2_1(a1411) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
fof(f94,negated_conjecture,
( ~ hskp26
| ~ c3_1(a1411) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
fof(f98,negated_conjecture,
( ~ hskp23
| ~ c0_1(a1359) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ hskp23
| ~ c1_1(a1359) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ hskp23
| ~ c3_1(a1359) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ hskp22
| ~ c3_1(a1356) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f108,negated_conjecture,
( ~ hskp17
| ~ c0_1(a1334) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f111,negated_conjecture,
( ~ hskp15
| ~ c3_1(a1331) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f112,negated_conjecture,
( ~ hskp14
| ~ c1_1(a1330) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ hskp14
| ~ c2_1(a1330) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
fof(f117,negated_conjecture,
( ~ hskp12
| ~ c0_1(a1325) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ hskp11
| ~ c1_1(a1324) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f120,negated_conjecture,
( ~ hskp9
| ~ c0_1(a1320) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ hskp9
| ~ c1_1(a1320) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ hskp8
| ~ c0_1(a1319) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ hskp8
| ~ c3_1(a1319) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
( ~ hskp7
| ~ c0_1(a1316) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ hskp7
| ~ c2_1(a1316) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ hskp7
| ~ c3_1(a1316) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ hskp6
| ~ c0_1(a1315) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ hskp6
| ~ c1_1(a1315) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f131,negated_conjecture,
( ~ hskp4
| ~ c1_1(a1312) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f132,negated_conjecture,
( ~ hskp4
| ~ c3_1(a1312) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
fof(f133,negated_conjecture,
( ~ hskp3
| ~ c1_1(a1311) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f134,negated_conjecture,
( ~ hskp2
| ~ c2_1(a1309) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
fof(f135,negated_conjecture,
( ~ hskp1
| ~ c1_1(a1308) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
fof(f136,negated_conjecture,
( ~ hskp1
| ~ c2_1(a1308) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
fof(f137,negated_conjecture,
( ~ hskp0
| ~ c0_1(a1306) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
fof(f138,negated_conjecture,
( ~ hskp0
| ~ c1_1(a1306) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f139,negated_conjecture,
( ~ hskp0
| ~ c2_1(a1306) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).
fof(f141,negated_conjecture,
! [X0] :
( hskp1
| hskp2
| c2_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
fof(f144,negated_conjecture,
! [X0] :
( hskp2
| hskp4
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
fof(f148,negated_conjecture,
! [X0] :
( hskp7
| hskp8
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f157,negated_conjecture,
! [X0] :
( hskp0
| hskp12
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f159,negated_conjecture,
! [X0] :
( hskp2
| hskp22
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
fof(f160,negated_conjecture,
! [X0] :
( hskp23
| hskp22
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
fof(f161,negated_conjecture,
! [X0] :
( hskp8
| hskp14
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f167,negated_conjecture,
! [X0] :
( hskp11
| hskp22
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
fof(f168,negated_conjecture,
! [X0,X1] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
fof(f170,negated_conjecture,
! [X0,X1] :
( hskp9
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
fof(f171,negated_conjecture,
! [X0,X1] :
( hskp11
| c2_1(X0)
| c0_1(X0)
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ c1_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
fof(f172,negated_conjecture,
! [X0,X1] :
( hskp3
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f173,negated_conjecture,
! [X0,X1] :
( hskp6
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f174,negated_conjecture,
! [X0,X1] :
( hskp8
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f175,negated_conjecture,
! [X0,X1] :
( hskp9
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| c0_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
fof(f176,negated_conjecture,
! [X0,X1] :
( hskp13
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
fof(f177,negated_conjecture,
! [X0,X1] :
( hskp15
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
fof(f178,negated_conjecture,
! [X0,X1] :
( hskp7
| c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
fof(f179,negated_conjecture,
! [X0,X1] :
( hskp4
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f180,negated_conjecture,
! [X0,X1] :
( hskp14
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
fof(f182,negated_conjecture,
! [X0,X1] :
( hskp27
| c3_1(X1)
| c2_1(X1)
| c3_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
fof(f184,negated_conjecture,
! [X0,X1] :
( hskp12
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
fof(f185,negated_conjecture,
! [X0,X1] :
( hskp28
| c0_1(X1)
| c2_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
fof(f186,negated_conjecture,
! [X0,X1] :
( hskp0
| c0_1(X1)
| c2_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
fof(f187,negated_conjecture,
! [X0,X1] :
( hskp27
| c1_1(X1)
| c2_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).
fof(f188,negated_conjecture,
! [X0,X1] :
( hskp11
| c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).
fof(f190,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).
fof(f191,negated_conjecture,
! [X0,X1] :
( hskp17
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).
fof(f193,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).
fof(f194,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X1)
| c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).
fof(f195,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c3_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).
fof(f196,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).
fof(f197,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| c1_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).
fof(f198,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c0_1(X1)
| c1_1(X0)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).
fof(f199,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c3_1(X0)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).
fof(f200,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).
tcf(c_249,negated_conjecture,
( hskp12
| hskp26 ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_253,negated_conjecture,
( ndr1_0
| ~ hskp28 ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_274,negated_conjecture,
( ndr1_0
| ~ hskp7 ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_280,negated_conjecture,
( ndr1_0
| ~ hskp1 ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_281,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_283,negated_conjecture,
( hskp2
| hskp9
| hskp30 ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_286,negated_conjecture,
( hskp1
| hskp7
| hskp28 ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_292,negated_conjecture,
( hskp1
| hskp2
| hskp23 ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_294,negated_conjecture,
( hskp0
| hskp6
| hskp23 ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_295,negated_conjecture,
( c0_1(a1372)
| ~ hskp30 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_296,negated_conjecture,
( c1_1(a1372)
| ~ hskp30 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_297,negated_conjecture,
( c3_1(a1372)
| ~ hskp30 ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_301,negated_conjecture,
( c0_1(a1328)
| ~ hskp28 ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_302,negated_conjecture,
( c2_1(a1328)
| ~ hskp28 ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_304,negated_conjecture,
( c0_1(a1307)
| ~ hskp27 ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_305,negated_conjecture,
( c1_1(a1307)
| ~ hskp27 ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_306,negated_conjecture,
( c2_1(a1307)
| ~ hskp27 ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_307,negated_conjecture,
( c0_1(a1411)
| ~ hskp26 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_311,negated_conjecture,
( c0_1(a1356)
| ~ hskp22 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_312,negated_conjecture,
( c1_1(a1356)
| ~ hskp22 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_319,negated_conjecture,
( c2_1(a1334)
| ~ hskp17 ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_320,negated_conjecture,
( c3_1(a1334)
| ~ hskp17 ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_322,negated_conjecture,
( c1_1(a1331)
| ~ hskp15 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_323,negated_conjecture,
( c2_1(a1331)
| ~ hskp15 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_324,negated_conjecture,
( c0_1(a1330)
| ~ hskp14 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_325,negated_conjecture,
( c1_1(a1325)
| ~ hskp12 ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_326,negated_conjecture,
( c3_1(a1325)
| ~ hskp12 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_327,negated_conjecture,
( c0_1(a1324)
| ~ hskp11 ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_328,negated_conjecture,
( c3_1(a1324)
| ~ hskp11 ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_331,negated_conjecture,
( c2_1(a1320)
| ~ hskp9 ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_332,negated_conjecture,
( c2_1(a1319)
| ~ hskp8 ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_333,negated_conjecture,
( c3_1(a1315)
| ~ hskp6 ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_335,negated_conjecture,
( c0_1(a1312)
| ~ hskp4 ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_336,negated_conjecture,
( c0_1(a1311)
| ~ hskp3 ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_337,negated_conjecture,
( c2_1(a1311)
| ~ hskp3 ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_338,negated_conjecture,
( c1_1(a1309)
| ~ hskp2 ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_339,negated_conjecture,
( c3_1(a1309)
| ~ hskp2 ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_340,negated_conjecture,
( c3_1(a1308)
| ~ hskp1 ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_341,negated_conjecture,
( ~ hskp26
| ~ c2_1(a1411) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_342,negated_conjecture,
( ~ hskp26
| ~ c3_1(a1411) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_346,negated_conjecture,
( ~ hskp23
| ~ c0_1(a1359) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_347,negated_conjecture,
( ~ hskp23
| ~ c1_1(a1359) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_348,negated_conjecture,
( ~ hskp23
| ~ c3_1(a1359) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_349,negated_conjecture,
( ~ hskp22
| ~ c3_1(a1356) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_356,negated_conjecture,
( ~ hskp17
| ~ c0_1(a1334) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_359,negated_conjecture,
( ~ hskp15
| ~ c3_1(a1331) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_360,negated_conjecture,
( ~ hskp14
| ~ c1_1(a1330) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_361,negated_conjecture,
( ~ hskp14
| ~ c2_1(a1330) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_365,negated_conjecture,
( ~ hskp12
| ~ c0_1(a1325) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_366,negated_conjecture,
( ~ hskp11
| ~ c1_1(a1324) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_368,negated_conjecture,
( ~ hskp9
| ~ c0_1(a1320) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_369,negated_conjecture,
( ~ hskp9
| ~ c1_1(a1320) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_370,negated_conjecture,
( ~ hskp8
| ~ c0_1(a1319) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_371,negated_conjecture,
( ~ hskp8
| ~ c3_1(a1319) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_372,negated_conjecture,
( ~ hskp7
| ~ c0_1(a1316) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_373,negated_conjecture,
( ~ hskp7
| ~ c2_1(a1316) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_374,negated_conjecture,
( ~ hskp7
| ~ c3_1(a1316) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_375,negated_conjecture,
( ~ hskp6
| ~ c0_1(a1315) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_376,negated_conjecture,
( ~ hskp6
| ~ c1_1(a1315) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_379,negated_conjecture,
( ~ hskp4
| ~ c1_1(a1312) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_380,negated_conjecture,
( ~ hskp4
| ~ c3_1(a1312) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_381,negated_conjecture,
( ~ hskp3
| ~ c1_1(a1311) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_382,negated_conjecture,
( ~ hskp2
| ~ c2_1(a1309) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_383,negated_conjecture,
( ~ hskp1
| ~ c1_1(a1308) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_384,negated_conjecture,
( ~ hskp1
| ~ c2_1(a1308) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_385,negated_conjecture,
( ~ hskp0
| ~ c0_1(a1306) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_386,negated_conjecture,
( ~ hskp0
| ~ c1_1(a1306) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_387,negated_conjecture,
( ~ hskp0
| ~ c2_1(a1306) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_389,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp2
| c2_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_392,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp4
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_396,negated_conjecture,
! [X0: $i] :
( hskp7
| hskp8
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_405,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp12
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_407,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp22
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_408,negated_conjecture,
! [X0: $i] :
( hskp22
| hskp23
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_409,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp14
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_415,negated_conjecture,
! [X0: $i] :
( hskp11
| hskp22
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_416,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_418,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X1)
| c2_1(X0)
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_419,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c2_1(X1)
| c2_1(X0)
| c3_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_420,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c2_1(X0)
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_421,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c2_1(X1)
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_422,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c2_1(X1)
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_423,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X1)
| c3_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_424,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c2_1(X1)
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_425,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp15
| c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_426,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_427,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_428,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_430,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c2_1(X1)
| c3_1(X1)
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_432,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp12
| c3_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_433,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp28
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_434,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_435,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_436,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_438,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_439,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_441,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c3_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_442,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c1_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_443,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X0)
| c1_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_444,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c3_1(X0)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_445,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_446,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_447,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X1)
| c3_1(X0)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_448,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_483,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_281,c_286,c_280,c_274,c_253]) ).
tcf(c_551,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp2
| c2_1(X0)
| c1_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_389,c_286,c_280,c_274,c_253,c_389]) ).
tcf(c_575,negated_conjecture,
! [X0: $i] :
( hskp7
| hskp8
| c2_1(X0)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_396,c_286,c_280,c_274,c_253,c_396]) ).
tcf(c_587,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp4
| c1_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_392,c_286,c_280,c_274,c_253,c_392]) ).
tcf(c_605,plain,
! [X0: $i] :
( hskp8
| hskp14
| c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_409,c_286,c_280,c_274,c_253,c_409]) ).
tcf(c_606,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp14
| c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_605]) ).
tcf(c_608,plain,
! [X0: $i] :
( hskp22
| hskp23
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_408,c_286,c_280,c_274,c_253,c_408]) ).
tcf(c_609,negated_conjecture,
! [X0: $i] :
( hskp22
| hskp23
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_608]) ).
tcf(c_611,plain,
! [X0: $i] :
( hskp2
| hskp22
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_407,c_286,c_280,c_274,c_253,c_407]) ).
tcf(c_612,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp22
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_611]) ).
tcf(c_617,plain,
! [X0: $i] :
( hskp0
| hskp12
| c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_405,c_286,c_280,c_274,c_253,c_405]) ).
tcf(c_618,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp12
| c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_617]) ).
tcf(c_626,plain,
! [X0: $i] :
( hskp11
| hskp22
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_415,c_286,c_280,c_274,c_253,c_415]) ).
tcf(c_627,negated_conjecture,
! [X0: $i] :
( hskp11
| hskp22
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_626]) ).
tcf(c_629,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c2_1(X1)
| c2_1(X0)
| c3_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_419,c_286,c_280,c_274,c_253,c_419]) ).
tcf(c_631,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X1)
| c2_1(X0)
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_418,c_286,c_280,c_274,c_253,c_418]) ).
tcf(c_635,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_416,c_286,c_280,c_274,c_253,c_416]) ).
tcf(c_637,plain,
! [X0: $i,X1: $i] :
( hskp15
| c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_425,c_286,c_280,c_274,c_253,c_425]) ).
tcf(c_638,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp15
| c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_637]) ).
tcf(c_640,plain,
! [X0: $i,X1: $i] :
( hskp13
| c2_1(X1)
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_424,c_286,c_280,c_274,c_253,c_424]) ).
tcf(c_641,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c2_1(X1)
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_640]) ).
tcf(c_642,plain,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X1)
| c3_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_423,c_286,c_280,c_274,c_253,c_423]) ).
tcf(c_643,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X1)
| c3_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_642]) ).
tcf(c_645,plain,
! [X0: $i,X1: $i] :
( hskp8
| c2_1(X1)
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_422,c_286,c_280,c_274,c_253,c_422]) ).
tcf(c_646,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c2_1(X1)
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_645]) ).
tcf(c_647,plain,
! [X0: $i,X1: $i] :
( hskp6
| c2_1(X1)
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_421,c_286,c_280,c_274,c_253,c_421]) ).
tcf(c_648,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c2_1(X1)
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_647]) ).
tcf(c_649,plain,
! [X0: $i,X1: $i] :
( hskp3
| c2_1(X0)
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_420,c_286,c_280,c_274,c_253,c_420]) ).
tcf(c_650,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c2_1(X0)
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_649]) ).
tcf(c_651,plain,
! [X0: $i,X1: $i] :
( hskp27
| c2_1(X1)
| c3_1(X1)
| c3_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_430,c_286,c_280,c_274,c_253,c_430]) ).
tcf(c_652,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c2_1(X1)
| c3_1(X1)
| c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_651]) ).
tcf(c_656,plain,
! [X0: $i,X1: $i] :
( hskp14
| c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_428,c_286,c_280,c_274,c_253,c_428]) ).
tcf(c_657,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_656]) ).
tcf(c_658,plain,
! [X0: $i,X1: $i] :
( hskp4
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_427,c_286,c_280,c_274,c_253,c_427]) ).
tcf(c_659,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_658]) ).
tcf(c_660,plain,
! [X0: $i,X1: $i] :
( hskp7
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_426,c_286,c_280,c_274,c_253,c_426]) ).
tcf(c_661,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_660]) ).
tcf(c_662,plain,
! [X0: $i,X1: $i] :
( hskp27
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_435,c_286,c_280,c_274,c_253,c_435]) ).
tcf(c_663,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c2_1(X0)
| c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_662]) ).
tcf(c_664,plain,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_434,c_286,c_280,c_274,c_253,c_434]) ).
tcf(c_665,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_664]) ).
tcf(c_666,plain,
! [X0: $i,X1: $i] :
( hskp28
| c2_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_433,c_286,c_280,c_274,c_253,c_433]) ).
tcf(c_667,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp28
| c2_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_666]) ).
tcf(c_668,plain,
! [X0: $i,X1: $i] :
( hskp12
| c3_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_432,c_286,c_280,c_274,c_253,c_432]) ).
tcf(c_669,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp12
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_668]) ).
tcf(c_674,plain,
! [X0: $i,X1: $i] :
( hskp11
| c3_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_436,c_286,c_280,c_274,c_253,c_436]) ).
tcf(c_675,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c3_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_674]) ).
tcf(c_679,plain,
! [X0: $i,X1: $i] :
( hskp17
| ~ 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_439,c_286,c_280,c_274,c_253,c_439]) ).
tcf(c_680,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_679]) ).
tcf(c_682,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_438,c_286,c_280,c_274,c_253,c_438]) ).
tcf(c_683,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_682]) ).
tcf(c_685,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c1_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_442,c_442,c_483]) ).
tcf(c_686,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c1_1(X2)
| c0_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_685]) ).
tcf(c_687,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c3_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_441,c_286,c_280,c_274,c_253,c_441]) ).
tcf(c_688,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c3_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_687]) ).
tcf(c_689,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c3_1(X0)
| c1_1(X2)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_444,c_286,c_280,c_274,c_253,c_444]) ).
tcf(c_690,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c3_1(X0)
| c1_1(X2)
| c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_689]) ).
tcf(c_691,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X0)
| c1_1(X2)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_443,c_286,c_280,c_274,c_253,c_443]) ).
tcf(c_692,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X0)
| c1_1(X2)
| c0_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_691]) ).
tcf(c_693,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X1)
| c3_1(X0)
| c1_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_447,c_286,c_280,c_274,c_253,c_447]) ).
tcf(c_694,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X1)
| c3_1(X0)
| c1_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_693]) ).
tcf(c_695,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_446,c_286,c_280,c_274,c_253,c_446]) ).
tcf(c_696,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_695]) ).
tcf(c_697,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_445,c_286,c_280,c_274,c_253,c_445]) ).
tcf(c_698,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_697]) ).
tcf(c_699,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_448,c_286,c_280,c_274,c_253,c_448]) ).
tcf(c_700,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_699]) ).
tcf(c_1965,plain,
( hskp12
| ~ c3_1(a1411) ),
inference(resolution,[status(thm)],[c_249,c_342]) ).
tcf(c_1972,plain,
( hskp12
| ~ c2_1(a1411) ),
inference(resolution,[status(thm)],[c_249,c_341]) ).
tcf(c_1979,plain,
( hskp12
| c0_1(a1411) ),
inference(resolution,[status(thm)],[c_249,c_307]) ).
tcf(c_2196,plain,
( hskp2
| hskp9
| c3_1(a1372) ),
inference(resolution,[status(thm)],[c_283,c_297]) ).
tcf(c_2206,plain,
( hskp2
| hskp9
| c1_1(a1372) ),
inference(resolution,[status(thm)],[c_283,c_296]) ).
tcf(c_2216,plain,
( hskp2
| hskp9
| c0_1(a1372) ),
inference(resolution,[status(thm)],[c_283,c_295]) ).
tcf(c_2673,plain,
( hskp1
| hskp2
| ~ c3_1(a1359) ),
inference(resolution,[status(thm)],[c_292,c_348]) ).
tcf(c_2683,plain,
( hskp1
| hskp2
| ~ c1_1(a1359) ),
inference(resolution,[status(thm)],[c_292,c_347]) ).
tcf(c_2693,plain,
( hskp1
| hskp2
| ~ c0_1(a1359) ),
inference(resolution,[status(thm)],[c_292,c_346]) ).
tcf(c_7544,plain,
! [X0: $i] :
( hskp2
| c2_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ c2_1(a1308) ),
inference(resolution,[status(thm)],[c_551,c_384]) ).
tcf(c_7545,plain,
( hskp2
| c2_1(a1306)
| c1_1(a1306)
| c0_1(a1306)
| ~ c2_1(a1308) ),
inference(instantiation,[status(thm)],[c_7544]) ).
tcf(c_7561,plain,
! [X0: $i] :
( hskp2
| c2_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ c1_1(a1308) ),
inference(resolution,[status(thm)],[c_551,c_383]) ).
tcf(c_7562,plain,
( hskp2
| c2_1(a1306)
| c1_1(a1306)
| c0_1(a1306)
| ~ c1_1(a1308) ),
inference(instantiation,[status(thm)],[c_7561]) ).
tcf(c_7578,plain,
! [X0: $i] :
( hskp2
| c3_1(a1308)
| c2_1(X0)
| c1_1(X0)
| c0_1(X0) ),
inference(resolution,[status(thm)],[c_551,c_340]) ).
tcf(c_7579,plain,
( hskp2
| c2_1(a1306)
| c3_1(a1308)
| c1_1(a1306)
| c0_1(a1306) ),
inference(instantiation,[status(thm)],[c_7578]) ).
tcf(c_7595,plain,
( hskp2
| hskp23
| ~ c2_1(a1308) ),
inference(resolution,[status(thm)],[c_292,c_384]) ).
tcf(c_7605,plain,
( hskp2
| hskp23
| ~ c1_1(a1308) ),
inference(resolution,[status(thm)],[c_292,c_383]) ).
tcf(c_7615,plain,
( hskp2
| hskp23
| c3_1(a1308) ),
inference(resolution,[status(thm)],[c_292,c_340]) ).
tcf(c_7655,plain,
( hskp7
| hskp28
| ~ c2_1(a1308) ),
inference(resolution,[status(thm)],[c_286,c_384]) ).
tcf(c_7665,plain,
( hskp7
| hskp28
| ~ c1_1(a1308) ),
inference(resolution,[status(thm)],[c_286,c_383]) ).
tcf(c_7675,plain,
( hskp7
| hskp28
| c3_1(a1308) ),
inference(resolution,[status(thm)],[c_286,c_340]) ).
tcf(c_8465,plain,
( hskp0
| hskp23
| ~ c1_1(a1315) ),
inference(resolution,[status(thm)],[c_294,c_376]) ).
tcf(c_8475,plain,
( hskp0
| hskp23
| ~ c0_1(a1315) ),
inference(resolution,[status(thm)],[c_294,c_375]) ).
tcf(c_8485,plain,
( hskp0
| hskp23
| c3_1(a1315) ),
inference(resolution,[status(thm)],[c_294,c_333]) ).
tcf(c_17530,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_700]) ).
tcf(c_17531,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_700]) ).
tcf(c_17532,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_17533,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_700]) ).
tcf(c_17534,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_698]) ).
tcf(c_17535,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_698]) ).
tcf(c_17536,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_698]) ).
tcf(c_17537,negated_conjecture,
( iPr_def_15
| iPr_def_14
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_698]) ).
tcf(c_17538,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| ~ c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_696]) ).
tcf(c_17539,negated_conjecture,
( iPr_def_16
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_696]) ).
tcf(c_17540,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| ~ c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_694]) ).
tcf(c_17541,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| c1_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_694]) ).
tcf(c_17542,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_694]) ).
tcf(c_17543,negated_conjecture,
( iPr_def_19
| iPr_def_18
| iPr_def_17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_694]) ).
tcf(c_17544,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| ~ c1_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_692]) ).
tcf(c_17545,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_692]) ).
tcf(c_17546,negated_conjecture,
( iPr_def_21
| iPr_def_20
| iPr_def_19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_692]) ).
tcf(c_17547,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_22
| ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_690]) ).
tcf(c_17548,negated_conjecture,
( iPr_def_22
| iPr_def_18
| iPr_def_16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_690]) ).
tcf(c_17549,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_688]) ).
tcf(c_17550,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| ~ c1_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_688]) ).
tcf(c_17551,negated_conjecture,
( iPr_def_24
| iPr_def_23
| iPr_def_14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_688]) ).
tcf(c_17552,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_686]) ).
tcf(c_17553,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_686]) ).
tcf(c_17554,negated_conjecture,
( iPr_def_26
| iPr_def_25
| iPr_def_19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_686]) ).
tcf(c_17555,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_683]) ).
tcf(c_17556,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_683]) ).
tcf(c_17557,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_683]) ).
tcf(c_17558,negated_conjecture,
( iPr_def_29
| iPr_def_28
| iPr_def_27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_683]) ).
tcf(c_17559,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_30
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_680]) ).
tcf(c_17560,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_680]) ).
tcf(c_17561,negated_conjecture,
( iPr_def_31
| iPr_def_30
| hskp17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_680]) ).
tcf(c_17563,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_675]) ).
tcf(c_17564,negated_conjecture,
( iPr_def_32
| iPr_def_12
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_675]) ).
tcf(c_17567,negated_conjecture,
( iPr_def_31
| iPr_def_25
| hskp12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_669]) ).
tcf(c_17568,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_667]) ).
tcf(c_17569,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_34
| ~ c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_667]) ).
tcf(c_17570,negated_conjecture,
( iPr_def_34
| iPr_def_33
| hskp28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_667]) ).
tcf(c_17571,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_35
| ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_665]) ).
tcf(c_17572,negated_conjecture,
( iPr_def_35
| iPr_def_10
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_665]) ).
tcf(c_17573,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_663]) ).
tcf(c_17574,negated_conjecture,
( iPr_def_36
| iPr_def_34
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_663]) ).
tcf(c_17575,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_37
| c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_661]) ).
tcf(c_17576,negated_conjecture,
( iPr_def_37
| iPr_def_20
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_661]) ).
tcf(c_17577,negated_conjecture,
( iPr_def_13
| iPr_def_11
| hskp4 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_659]) ).
tcf(c_17578,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_38
| ~ c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_657]) ).
tcf(c_17581,negated_conjecture,
( iPr_def_22
| iPr_def_19
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_652]) ).
tcf(c_17582,negated_conjecture,
( iPr_def_34
| iPr_def_28
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_650]) ).
tcf(c_17583,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_39
| c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_648]) ).
tcf(c_17584,negated_conjecture,
( iPr_def_39
| iPr_def_33
| hskp6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_648]) ).
tcf(c_17585,negated_conjecture,
( iPr_def_39
| iPr_def_10
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_646]) ).
tcf(c_17586,negated_conjecture,
( iPr_def_25
| iPr_def_23
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_643]) ).
tcf(c_17587,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_641]) ).
tcf(c_17589,negated_conjecture,
( iPr_def_40
| iPr_def_38
| hskp15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_638]) ).
tcf(c_17590,negated_conjecture,
( iPr_def_29
| iPr_def_21
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_635]) ).
tcf(c_17592,negated_conjecture,
( iPr_def_39
| iPr_def_22
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_631]) ).
tcf(c_17593,negated_conjecture,
( iPr_def_26
| iPr_def_23
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_629]) ).
tcf(c_17594,negated_conjecture,
( iPr_def_30
| hskp11
| hskp22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_627]) ).
tcf(c_17597,negated_conjecture,
( iPr_def_16
| hskp0
| hskp12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_618]) ).
tcf(c_17599,negated_conjecture,
( iPr_def_36
| hskp2
| hskp22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_612]) ).
tcf(c_17600,negated_conjecture,
( iPr_def_36
| hskp22
| hskp23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_609]) ).
tcf(c_17601,negated_conjecture,
( iPr_def_19
| hskp8
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_606]) ).
tcf(c_17606,negated_conjecture,
( iPr_def_27
| hskp2
| hskp4 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_587]) ).
tcf(c_17610,negated_conjecture,
( iPr_def_38
| hskp7
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_575]) ).
tcf(c_17618,negated_conjecture,
( iPr_def_21
| hskp1
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_551]) ).
tcf(c_17620,plain,
( c2_1(a1306)
| c1_1(a1306)
| c0_1(a1306)
| ~ iPr_def_21 ),
inference(instantiation,[status(thm)],[c_17545]) ).
tcf(c_17621,plain,
( c2_1(a1306)
| c3_1(a1306)
| c1_1(a1306)
| ~ iPr_def_26 ),
inference(instantiation,[status(thm)],[c_17553]) ).
tcf(c_17623,plain,
( c2_1(a1306)
| c3_1(a1306)
| c0_1(a1306)
| ~ iPr_def_39 ),
inference(instantiation,[status(thm)],[c_17583]) ).
tcf(c_17625,plain,
( c2_1(a1306)
| c0_1(a1306)
| ~ iPr_def_14
| ~ c3_1(a1306) ),
inference(instantiation,[status(thm)],[c_17535]) ).
tcf(c_17626,plain,
( c2_1(a1306)
| c1_1(a1306)
| ~ iPr_def_18
| ~ c3_1(a1306) ),
inference(instantiation,[status(thm)],[c_17541]) ).
tcf(c_17633,plain,
( c1_1(a1306)
| c0_1(a1306)
| ~ iPr_def_37
| ~ c3_1(a1306) ),
inference(instantiation,[status(thm)],[c_17575]) ).
tcf(c_17660,plain,
( c0_1(a1334)
| ~ iPr_def_10
| ~ c2_1(a1334)
| ~ c3_1(a1334) ),
inference(instantiation,[status(thm)],[c_17530]) ).
tcf(c_17661,plain,
( c0_1(a1325)
| ~ iPr_def_10
| ~ c2_1(a1325)
| ~ c3_1(a1325) ),
inference(instantiation,[status(thm)],[c_17530]) ).
tcf(c_17669,plain,
( c2_1(a1325)
| c0_1(a1325)
| ~ iPr_def_14
| ~ c3_1(a1325) ),
inference(instantiation,[status(thm)],[c_17535]) ).
tcf(c_17672,plain,
( c2_1(a1309)
| c0_1(a1309)
| ~ iPr_def_14
| ~ c3_1(a1309) ),
inference(instantiation,[status(thm)],[c_17535]) ).
tcf(c_17673,plain,
( c2_1(a1308)
| c0_1(a1308)
| ~ iPr_def_14
| ~ c3_1(a1308) ),
inference(instantiation,[status(thm)],[c_17535]) ).
tcf(c_17674,plain,
( c1_1(a1328)
| ~ iPr_def_16
| ~ c2_1(a1328)
| ~ c0_1(a1328) ),
inference(instantiation,[status(thm)],[c_17538]) ).
tcf(c_17679,plain,
( c1_1(a1312)
| ~ iPr_def_16
| ~ c2_1(a1312)
| ~ c0_1(a1312) ),
inference(instantiation,[status(thm)],[c_17538]) ).
tcf(c_17680,plain,
( c1_1(a1311)
| ~ iPr_def_16
| ~ c2_1(a1311)
| ~ c0_1(a1311) ),
inference(instantiation,[status(thm)],[c_17538]) ).
tcf(c_17682,plain,
( c3_1(a1307)
| ~ iPr_def_19
| ~ c1_1(a1307)
| ~ c0_1(a1307) ),
inference(instantiation,[status(thm)],[c_17542]) ).
tcf(c_17683,plain,
( c3_1(a1356)
| ~ iPr_def_19
| ~ c1_1(a1356)
| ~ c0_1(a1356) ),
inference(instantiation,[status(thm)],[c_17542]) ).
tcf(c_17694,plain,
( c1_1(a1320)
| c0_1(a1320)
| ~ iPr_def_27
| ~ c2_1(a1320) ),
inference(instantiation,[status(thm)],[c_17555]) ).
tcf(c_17699,plain,
( c2_1(a1309)
| ~ iPr_def_34
| ~ c3_1(a1309)
| ~ c0_1(a1309) ),
inference(instantiation,[status(thm)],[c_17569]) ).
tcf(c_17700,plain,
( c2_1(a1308)
| ~ iPr_def_34
| ~ c3_1(a1308)
| ~ c0_1(a1308) ),
inference(instantiation,[status(thm)],[c_17569]) ).
tcf(c_17703,plain,
( c2_1(a1316)
| c1_1(a1316)
| c0_1(a1316)
| ~ iPr_def_21 ),
inference(instantiation,[status(thm)],[c_17545]) ).
tcf(c_17705,plain,
( c2_1(a1308)
| c1_1(a1308)
| c0_1(a1308)
| ~ iPr_def_21 ),
inference(instantiation,[status(thm)],[c_17545]) ).
tcf(c_17737,plain,
( c3_1(a1331)
| ~ iPr_def_19
| ~ c1_1(a1331)
| ~ c0_1(a1331) ),
inference(instantiation,[status(thm)],[c_17542]) ).
tcf(c_17742,plain,
( c1_1(a1359)
| c0_1(a1359)
| ~ iPr_def_27
| ~ c2_1(a1359) ),
inference(instantiation,[status(thm)],[c_17555]) ).
tcf(c_17748,plain,
( c2_1(a1316)
| c0_1(a1316)
| ~ iPr_def_23
| ~ c1_1(a1316) ),
inference(instantiation,[status(thm)],[c_17549]) ).
tcf(c_17749,plain,
( c2_1(a1309)
| c0_1(a1309)
| ~ iPr_def_23
| ~ c1_1(a1309) ),
inference(instantiation,[status(thm)],[c_17549]) ).
tcf(c_17752,plain,
( ~ iPr_def_30
| ~ c2_1(a1307)
| ~ c3_1(a1307)
| ~ c1_1(a1307) ),
inference(instantiation,[status(thm)],[c_17559]) ).
tcf(c_17758,plain,
( ~ iPr_def_30
| ~ c2_1(a1325)
| ~ c3_1(a1325)
| ~ c1_1(a1325) ),
inference(instantiation,[status(thm)],[c_17559]) ).
tcf(c_17761,plain,
( c2_1(a1359)
| c3_1(a1359)
| c0_1(a1359)
| ~ iPr_def_39 ),
inference(instantiation,[status(thm)],[c_17583]) ).
tcf(c_17764,plain,
( c2_1(a1316)
| c3_1(a1316)
| c0_1(a1316)
| ~ iPr_def_39 ),
inference(instantiation,[status(thm)],[c_17583]) ).
tcf(c_17774,plain,
( c0_1(a1325)
| ~ iPr_def_13
| ~ c3_1(a1325)
| ~ c1_1(a1325) ),
inference(instantiation,[status(thm)],[c_17534]) ).
tcf(c_17776,plain,
( c0_1(a1309)
| ~ iPr_def_13
| ~ c3_1(a1309)
| ~ c1_1(a1309) ),
inference(instantiation,[status(thm)],[c_17534]) ).
tcf(c_17782,plain,
( c3_1(a1312)
| c1_1(a1312)
| ~ iPr_def_40
| ~ c0_1(a1312) ),
inference(instantiation,[status(thm)],[c_17587]) ).
tcf(c_17789,plain,
( c2_1(a1308)
| c1_1(a1308)
| ~ iPr_def_18
| ~ c3_1(a1308) ),
inference(instantiation,[status(thm)],[c_17541]) ).
tcf(c_17798,plain,
( c2_1(a1325)
| c0_1(a1325)
| ~ iPr_def_23
| ~ c1_1(a1325) ),
inference(instantiation,[status(thm)],[c_17549]) ).
tcf(c_17859,plain,
( c3_1(a1331)
| ~ iPr_def_17
| ~ c2_1(a1331)
| ~ c1_1(a1331) ),
inference(instantiation,[status(thm)],[c_17540]) ).
tcf(c_17865,plain,
( c1_1(a1319)
| c0_1(a1319)
| ~ iPr_def_27
| ~ c2_1(a1319) ),
inference(instantiation,[status(thm)],[c_17555]) ).
tcf(c_17866,plain,
( c3_1(a1319)
| ~ iPr_def_17
| ~ c2_1(a1319)
| ~ c1_1(a1319) ),
inference(instantiation,[status(thm)],[c_17540]) ).
tcf(c_17870,plain,
( c3_1(a1356)
| ~ iPr_def_17
| ~ c2_1(a1356)
| ~ c1_1(a1356) ),
inference(instantiation,[status(thm)],[c_17540]) ).
tcf(c_17881,plain,
( c1_1(a1315)
| c0_1(a1315)
| ~ iPr_def_37
| ~ c3_1(a1315) ),
inference(instantiation,[status(thm)],[c_17575]) ).
tcf(c_17886,plain,
( c3_1(a1331)
| c0_1(a1331)
| ~ iPr_def_25
| ~ c1_1(a1331) ),
inference(instantiation,[status(thm)],[c_17552]) ).
tcf(c_17888,plain,
( c3_1(a1319)
| c0_1(a1319)
| ~ iPr_def_25
| ~ c1_1(a1319) ),
inference(instantiation,[status(thm)],[c_17552]) ).
tcf(c_17896,plain,
( c3_1(a1319)
| c1_1(a1319)
| ~ iPr_def_29
| ~ c2_1(a1319) ),
inference(instantiation,[status(thm)],[c_17557]) ).
tcf(c_17898,plain,
( c3_1(a1312)
| c1_1(a1312)
| ~ iPr_def_29
| ~ c2_1(a1312) ),
inference(instantiation,[status(thm)],[c_17557]) ).
tcf(c_17904,plain,
( c3_1(a1319)
| c0_1(a1319)
| ~ iPr_def_11
| ~ c2_1(a1319) ),
inference(instantiation,[status(thm)],[c_17531]) ).
tcf(c_17913,plain,
( c2_1(a1309)
| ~ iPr_def_35
| ~ c1_1(a1309)
| ~ c0_1(a1309) ),
inference(instantiation,[status(thm)],[c_17571]) ).
tcf(c_17921,plain,
( c2_1(a1309)
| ~ iPr_def_20
| ~ c3_1(a1309)
| ~ c1_1(a1309) ),
inference(instantiation,[status(thm)],[c_17544]) ).
tcf(c_17930,plain,
( c2_1(a1356)
| c3_1(a1356)
| ~ iPr_def_22
| ~ c0_1(a1356) ),
inference(instantiation,[status(thm)],[c_17547]) ).
tcf(c_17936,plain,
( c2_1(a1312)
| c3_1(a1312)
| ~ iPr_def_22
| ~ c0_1(a1312) ),
inference(instantiation,[status(thm)],[c_17547]) ).
tcf(c_17942,plain,
( c1_1(a1320)
| ~ iPr_def_36
| ~ c2_1(a1320)
| ~ c3_1(a1320) ),
inference(instantiation,[status(thm)],[c_17573]) ).
tcf(c_17967,plain,
( ~ iPr_def_31
| ~ c2_1(a1328)
| ~ c1_1(a1328)
| ~ c0_1(a1328) ),
inference(instantiation,[status(thm)],[c_17560]) ).
tcf(c_17968,plain,
( ~ iPr_def_31
| ~ c2_1(a1307)
| ~ c1_1(a1307)
| ~ c0_1(a1307) ),
inference(instantiation,[status(thm)],[c_17560]) ).
tcf(c_17997,plain,
( ~ iPr_def_12
| ~ c3_1(a1309)
| ~ c1_1(a1309)
| ~ c0_1(a1309) ),
inference(instantiation,[status(thm)],[c_17532]) ).
tcf(c_18087,plain,
( c3_1(a1319)
| c1_1(a1319)
| c0_1(a1319)
| ~ iPr_def_28 ),
inference(instantiation,[status(thm)],[c_17556]) ).
tcf(c_18101,plain,
( c2_1(a1330)
| c1_1(a1330)
| ~ iPr_def_38
| ~ c0_1(a1330) ),
inference(instantiation,[status(thm)],[c_17578]) ).
tcf(c_18103,plain,
( c2_1(a1312)
| c1_1(a1312)
| ~ iPr_def_38
| ~ c0_1(a1312) ),
inference(instantiation,[status(thm)],[c_17578]) ).
tcf(c_18107,plain,
( c2_1(a1308)
| c1_1(a1308)
| ~ iPr_def_38
| ~ c0_1(a1308) ),
inference(instantiation,[status(thm)],[c_17578]) ).
tcf(c_18113,plain,
( c0_1(a1319)
| ~ iPr_def_33
| ~ c2_1(a1319)
| ~ c1_1(a1319) ),
inference(instantiation,[status(thm)],[c_17568]) ).
tcf(c_18116,plain,
( c0_1(a1325)
| ~ iPr_def_33
| ~ c2_1(a1325)
| ~ c1_1(a1325) ),
inference(instantiation,[status(thm)],[c_17568]) ).
tcf(c_18121,plain,
( c2_1(a1325)
| ~ iPr_def_20
| ~ c3_1(a1325)
| ~ c1_1(a1325) ),
inference(instantiation,[status(thm)],[c_17544]) ).
tcf(c_18143,plain,
( c1_1(a1324)
| ~ iPr_def_15
| ~ c3_1(a1324)
| ~ c0_1(a1324) ),
inference(instantiation,[status(thm)],[c_17536]) ).
tcf(c_18145,plain,
( c1_1(a1311)
| ~ iPr_def_15
| ~ c3_1(a1311)
| ~ c0_1(a1311) ),
inference(instantiation,[status(thm)],[c_17536]) ).
tcf(c_18148,plain,
( c1_1(a1308)
| ~ iPr_def_15
| ~ c3_1(a1308)
| ~ c0_1(a1308) ),
inference(instantiation,[status(thm)],[c_17536]) ).
tcf(c_18177,plain,
( c2_1(a1372)
| ~ iPr_def_35
| ~ c1_1(a1372)
| ~ c0_1(a1372) ),
inference(instantiation,[status(thm)],[c_17571]) ).
tcf(c_18179,plain,
( ~ iPr_def_31
| ~ c2_1(a1372)
| ~ c1_1(a1372)
| ~ c0_1(a1372) ),
inference(instantiation,[status(thm)],[c_17560]) ).
tcf(c_18180,plain,
( ~ iPr_def_12
| ~ c3_1(a1372)
| ~ c1_1(a1372)
| ~ c0_1(a1372) ),
inference(instantiation,[status(thm)],[c_17532]) ).
tcf(c_18182,plain,
( c2_1(a1372)
| ~ iPr_def_20
| ~ c3_1(a1372)
| ~ c1_1(a1372) ),
inference(instantiation,[status(thm)],[c_17544]) ).
tcf(c_18204,plain,
( c3_1(a1320)
| c1_1(a1320)
| c0_1(a1320)
| ~ iPr_def_28 ),
inference(instantiation,[status(thm)],[c_17556]) ).
tcf(c_18207,plain,
( c3_1(a1320)
| c1_1(a1320)
| ~ iPr_def_29
| ~ c2_1(a1320) ),
inference(instantiation,[status(thm)],[c_17557]) ).
tcf(c_18218,plain,
( c3_1(a1311)
| c1_1(a1311)
| ~ iPr_def_29
| ~ c2_1(a1311) ),
inference(instantiation,[status(thm)],[c_17557]) ).
tcf(c_18227,plain,
( c2_1(a1316)
| c3_1(a1316)
| ~ iPr_def_24
| ~ c1_1(a1316) ),
inference(instantiation,[status(thm)],[c_17550]) ).
tcf(c_18229,plain,
( c3_1(a1316)
| c1_1(a1316)
| c0_1(a1316)
| ~ iPr_def_28 ),
inference(instantiation,[status(thm)],[c_17556]) ).
tcf(c_18233,plain,
( c3_1(a1316)
| c0_1(a1316)
| ~ iPr_def_25
| ~ c1_1(a1316) ),
inference(instantiation,[status(thm)],[c_17552]) ).
tcf(c_18246,plain,
( c2_1(a1411)
| c1_1(a1411)
| ~ iPr_def_38
| ~ c0_1(a1411) ),
inference(instantiation,[status(thm)],[c_17578]) ).
tcf(c_18253,plain,
( c2_1(a1411)
| c3_1(a1411)
| ~ iPr_def_22
| ~ c0_1(a1411) ),
inference(instantiation,[status(thm)],[c_17547]) ).
tcf(c_18258,plain,
( c3_1(a1411)
| c1_1(a1411)
| ~ iPr_def_40
| ~ c0_1(a1411) ),
inference(instantiation,[status(thm)],[c_17587]) ).
tcf(c_18260,plain,
( c3_1(a1411)
| ~ iPr_def_19
| ~ c1_1(a1411)
| ~ c0_1(a1411) ),
inference(instantiation,[status(thm)],[c_17542]) ).
tcf(c_18298,plain,
( c3_1(a1311)
| ~ iPr_def_32
| ~ c2_1(a1311)
| ~ c0_1(a1311) ),
inference(instantiation,[status(thm)],[c_17563]) ).
tcf(c_18357,plain,
( c3_1(a1359)
| c1_1(a1359)
| c0_1(a1359)
| ~ iPr_def_28 ),
inference(instantiation,[status(thm)],[c_17556]) ).
tcf(c_18360,plain,
( c3_1(a1359)
| c1_1(a1359)
| ~ iPr_def_29
| ~ c2_1(a1359) ),
inference(instantiation,[status(thm)],[c_17557]) ).
tcf(c_18408,plain,
( c2_1(a1411)
| c3_1(a1411)
| c1_1(a1411)
| ~ iPr_def_26 ),
inference(instantiation,[status(thm)],[c_17553]) ).
tcf(c_18410,plain,
( c2_1(a1359)
| c3_1(a1359)
| c1_1(a1359)
| ~ iPr_def_26 ),
inference(instantiation,[status(thm)],[c_17553]) ).
tcf(c_18411,plain,
( c2_1(a1316)
| c3_1(a1316)
| c1_1(a1316)
| ~ iPr_def_26 ),
inference(instantiation,[status(thm)],[c_17553]) ).
tcf(c_18450,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_18411,c_18410,c_18408,c_18357,c_18360,c_18298,c_18253,c_18258,c_18260,c_18246,c_18227,c_18229,c_18233,c_18218,c_18204,c_18207,c_18182,c_18177,c_18179,c_18180,c_18148,c_18145,c_18143,c_18121,c_18116,c_18113,c_18107,c_18103,c_18101,c_18087,c_17997,c_17968,c_17967,c_17942,c_17936,c_17930,c_17921,c_17913,c_17904,c_17898,c_17896,c_17888,c_17886,c_17881,c_17870,c_17866,c_17865,c_17859,c_17798,c_17789,c_17782,c_17776,c_17774,c_17764,c_17761,c_17758,c_17752,c_17749,c_17748,c_17742,c_17737,c_17705,c_17703,c_17700,c_17699,c_17694,c_17683,c_17682,c_17680,c_17679,c_17674,c_17673,c_17672,c_17669,c_17661,c_17660,c_17633,c_17626,c_17625,c_17623,c_17621,c_17620,c_17618,c_17610,c_17606,c_17601,c_17600,c_17599,c_17597,c_17594,c_17593,c_17592,c_17590,c_17589,c_17586,c_17585,c_17584,c_17582,c_17581,c_17577,c_17576,c_17574,c_17572,c_17570,c_17567,c_17564,c_17561,c_17558,c_17554,c_17551,c_17548,c_17546,c_17543,c_17539,c_17537,c_17533,c_8485,c_8475,c_8465,c_7675,c_7665,c_7655,c_7615,c_7605,c_7595,c_7579,c_7562,c_7545,c_2693,c_2683,c_2673,c_2216,c_2206,c_2196,c_1979,c_1972,c_1965,c_346,c_347,c_348,c_349,c_356,c_359,c_360,c_361,c_365,c_366,c_368,c_369,c_370,c_371,c_372,c_373,c_374,c_375,c_376,c_379,c_380,c_381,c_382,c_383,c_384,c_385,c_386,c_387,c_301,c_302,c_304,c_305,c_306,c_311,c_312,c_319,c_320,c_322,c_323,c_324,c_325,c_326,c_327,c_328,c_331,c_332,c_333,c_335,c_336,c_337,c_338,c_339,c_340,c_286]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN478-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 01:28:06 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running EPR theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 2.95/1.17 % SZS status Started for theBenchmark.p
% 2.95/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 2.95/1.17
% 2.95/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.95/1.17
% 2.95/1.17 % ------ iProver source info
% 2.95/1.17
% 2.95/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 2.95/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.95/1.17 % git: non_committed_changes: false
% 2.95/1.17
% 2.95/1.17 % ------ Parsing...% successful
% 2.95/1.17
% 2.95/1.17
% 2.95/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 2.95/1.17 %
% 2.95/1.17
% 2.95/1.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.95/1.17
% 2.95/1.17 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 2.95/1.17 gs_s sp: 101 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.95/1.17 % ------ Proving...
% 2.95/1.17 % ------ Problem Properties
% 2.95/1.17
% 2.95/1.17 %
% 2.95/1.17 % clauses 200
% 2.95/1.17 % conjectures 200
% 2.95/1.17 % EPR 200
% 2.95/1.17 % Horn 109
% 2.95/1.17 % unary 0
% 2.95/1.17 % binary 95
% 2.95/1.17 % lits 538
% 2.95/1.17 % lits eq 0
% 2.95/1.17 % fd_pure 0
% 2.95/1.17 % fd_pseudo 0
% 2.95/1.17 % fd_cond 0
% 2.95/1.17 % fd_pseudo_cond 0
% 2.95/1.17 % AC symbols 0
% 2.95/1.17
% 2.95/1.17 % ------ Schedule EPR non Horn non eq is on
% 2.95/1.17
% 2.95/1.17 % ------ no equalities: superposition off
% 2.95/1.17
% 2.95/1.17 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.95/1.17
% 2.95/1.17
% 2.95/1.17 % ------
% 2.95/1.17 % Current options:
% 2.95/1.17 % ------
% 2.95/1.17
% 2.95/1.17
% 2.95/1.17 %
% 2.95/1.17
% 2.95/1.17 % ------ Proving...
% 2.95/1.17 %
% 2.95/1.17
% 2.95/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 2.95/1.17
% 2.95/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.95/1.17
% 2.95/1.17
%------------------------------------------------------------------------------