%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN477-1 : 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 3.99s 1.15s
% Output : CNFRefutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 110
% Syntax : Number of formulae : 441 ( 2 unt; 0 def)
% Number of atoms : 1908 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2445 ( 978 ~;1467 |; 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 : 57 ( 56 usr; 53 prp; 0-1 aty)
% Number of functors : 22 ( 22 usr; 22 con; 0-0 aty)
% Number of variables : 316 ( 0 sgn 316 !; 0 ?; 243 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( hskp21
| hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f4,negated_conjecture,
( ndr1_0
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
( ndr1_0
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f29,negated_conjecture,
( ndr1_0
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f30,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f31,negated_conjecture,
( hskp24
| hskp28
| hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f32,negated_conjecture,
( hskp1
| hskp25
| hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f33,negated_conjecture,
( hskp5
| hskp6
| hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f36,negated_conjecture,
( hskp14
| hskp19
| hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f38,negated_conjecture,
( hskp8
| hskp6
| hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f40,negated_conjecture,
( hskp2
| hskp19
| hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f44,negated_conjecture,
( c0_1(a1214)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( c1_1(a1214)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( c3_1(a1214)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( c1_1(a1213)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( c2_1(a1213)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( c3_1(a1213)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( c0_1(a1208)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( c1_1(a1208)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( c2_1(a1208)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( c0_1(a1204)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f54,negated_conjecture,
( c2_1(a1204)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f55,negated_conjecture,
( c3_1(a1204)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f56,negated_conjecture,
( c0_1(a1267)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f57,negated_conjecture,
( c0_1(a1259)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f58,negated_conjecture,
( c3_1(a1257)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f61,negated_conjecture,
( c1_1(a1247)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f67,negated_conjecture,
( c0_1(a1233)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( c1_1(a1233)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( c3_1(a1232)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( c0_1(a1229)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( c2_1(a1229)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f74,negated_conjecture,
( c1_1(a1224)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( c3_1(a1224)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( c2_1(a1223)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( c1_1(a1219)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( c2_1(a1219)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( c1_1(a1215)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( c2_1(a1215)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f82,negated_conjecture,
( c1_1(a1211)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( c0_1(a1210)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( c1_1(a1210)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( c0_1(a1206)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( c2_1(a1206)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f87,negated_conjecture,
( c2_1(a1205)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( ~ hskp24
| ~ c1_1(a1267) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f89,negated_conjecture,
( ~ hskp24
| ~ c2_1(a1267) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f93,negated_conjecture,
( ~ hskp22
| ~ c2_1(a1259) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
fof(f94,negated_conjecture,
( ~ hskp22
| ~ c3_1(a1259) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
fof(f95,negated_conjecture,
( ~ hskp21
| ~ c0_1(a1257) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
fof(f96,negated_conjecture,
( ~ hskp21
| ~ c1_1(a1257) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f98,negated_conjecture,
( ~ hskp19
| ~ c2_1(a1247) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ hskp19
| ~ c3_1(a1247) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f104,negated_conjecture,
( ~ hskp15
| ~ c2_1(a1233) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ hskp14
| ~ c0_1(a1232) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ hskp14
| ~ c2_1(a1232) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ hskp13
| ~ c1_1(a1229) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f109,negated_conjecture,
( ~ hskp11
| ~ c2_1(a1224) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ hskp10
| ~ c1_1(a1223) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ hskp10
| ~ c3_1(a1223) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f112,negated_conjecture,
( ~ hskp9
| ~ c0_1(a1219) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ hskp8
| ~ c0_1(a1217) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ hskp8
| ~ c1_1(a1217) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ hskp8
| ~ c3_1(a1217) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f119,negated_conjecture,
( ~ hskp6
| ~ c3_1(a1215) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ hskp5
| ~ c0_1(a1212) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ hskp5
| ~ c3_1(a1212) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ hskp4
| ~ c0_1(a1211) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ hskp4
| ~ c2_1(a1211) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f125,negated_conjecture,
( ~ hskp2
| ~ c0_1(a1207) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ hskp2
| ~ c1_1(a1207) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ hskp2
| ~ c2_1(a1207) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ hskp1
| ~ c3_1(a1206) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f129,negated_conjecture,
( ~ hskp0
| ~ c0_1(a1205) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( ~ hskp0
| ~ c1_1(a1205) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f131,negated_conjecture,
! [X0] :
( hskp28
| c3_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f137,negated_conjecture,
! [X0] :
( hskp0
| hskp27
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
fof(f138,negated_conjecture,
! [X0] :
( hskp4
| hskp15
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f141,negated_conjecture,
! [X0] :
( hskp6
| hskp13
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
fof(f142,negated_conjecture,
! [X0] :
( hskp14
| hskp13
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
fof(f144,negated_conjecture,
! [X0] :
( hskp8
| hskp11
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
fof(f146,negated_conjecture,
! [X0] :
( hskp22
| hskp13
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
fof(f149,negated_conjecture,
! [X0,X1] :
( hskp26
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
fof(f151,negated_conjecture,
! [X0,X1] :
( hskp4
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
fof(f152,negated_conjecture,
! [X0,X1] :
( hskp27
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
fof(f153,negated_conjecture,
! [X0,X1] :
( hskp8
| 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',clause153) ).
fof(f154,negated_conjecture,
! [X0,X1] :
( hskp25
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
fof(f157,negated_conjecture,
! [X0,X1] :
( hskp10
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f158,negated_conjecture,
! [X0,X1] :
( hskp3
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
fof(f159,negated_conjecture,
! [X0,X1] :
( c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
fof(f161,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',clause161) ).
fof(f162,negated_conjecture,
! [X0,X1] :
( hskp9
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).
fof(f163,negated_conjecture,
! [X0,X1] :
( hskp14
| c3_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
fof(f165,negated_conjecture,
! [X0,X1] :
( c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
fof(f168,negated_conjecture,
! [X0,X1] :
( hskp9
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
fof(f169,negated_conjecture,
! [X0,X1] :
( hskp1
| c0_1(X1)
| c2_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f170,negated_conjecture,
! [X0,X1] :
( hskp3
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
fof(f172,negated_conjecture,
! [X0,X1] :
( hskp6
| c1_1(X1)
| c2_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f173,negated_conjecture,
! [X0,X1] :
( hskp19
| c1_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',clause173) ).
fof(f174,negated_conjecture,
! [X0,X1] :
( hskp8
| c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f177,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| c0_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
fof(f180,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X1)
| c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
fof(f181,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c1_1(X2)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
fof(f182,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
fof(f183,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1)
| c3_1(X0)
| ~ c0_1(X2)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
fof(f184,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
fof(f185,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
fof(f186,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
fof(f187,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).
fof(f188,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| ~ c2_1(X2)
| ~ c3_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',clause188) ).
tcf(c_237,negated_conjecture,
( hskp21
| hskp25 ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_240,negated_conjecture,
( ndr1_0
| ~ hskp26 ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_241,negated_conjecture,
( ndr1_0
| ~ hskp25 ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_265,negated_conjecture,
( ndr1_0
| ~ hskp1 ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_266,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_267,negated_conjecture,
( hskp24
| hskp26
| hskp28 ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_268,negated_conjecture,
( hskp1
| hskp26
| hskp25 ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_269,negated_conjecture,
( hskp5
| hskp6
| hskp15 ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_272,negated_conjecture,
( hskp14
| hskp19
| hskp24 ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_274,negated_conjecture,
( hskp6
| hskp8
| hskp22 ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_276,negated_conjecture,
( hskp2
| hskp19
| hskp27 ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_280,negated_conjecture,
( c0_1(a1214)
| ~ hskp28 ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_281,negated_conjecture,
( c1_1(a1214)
| ~ hskp28 ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_282,negated_conjecture,
( c3_1(a1214)
| ~ hskp28 ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_283,negated_conjecture,
( c1_1(a1213)
| ~ hskp27 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_284,negated_conjecture,
( c2_1(a1213)
| ~ hskp27 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_285,negated_conjecture,
( c3_1(a1213)
| ~ hskp27 ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_286,negated_conjecture,
( c0_1(a1208)
| ~ hskp26 ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_287,negated_conjecture,
( c1_1(a1208)
| ~ hskp26 ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_288,negated_conjecture,
( c2_1(a1208)
| ~ hskp26 ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_289,negated_conjecture,
( c0_1(a1204)
| ~ hskp25 ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_290,negated_conjecture,
( c2_1(a1204)
| ~ hskp25 ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_291,negated_conjecture,
( c3_1(a1204)
| ~ hskp25 ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_292,negated_conjecture,
( c0_1(a1267)
| ~ hskp24 ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_293,negated_conjecture,
( c0_1(a1259)
| ~ hskp22 ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_294,negated_conjecture,
( c3_1(a1257)
| ~ hskp21 ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_297,negated_conjecture,
( c1_1(a1247)
| ~ hskp19 ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_303,negated_conjecture,
( c0_1(a1233)
| ~ hskp15 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_304,negated_conjecture,
( c1_1(a1233)
| ~ hskp15 ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_305,negated_conjecture,
( c3_1(a1232)
| ~ hskp14 ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_306,negated_conjecture,
( c0_1(a1229)
| ~ hskp13 ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_307,negated_conjecture,
( c2_1(a1229)
| ~ hskp13 ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_310,negated_conjecture,
( c1_1(a1224)
| ~ hskp11 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_311,negated_conjecture,
( c3_1(a1224)
| ~ hskp11 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_312,negated_conjecture,
( c2_1(a1223)
| ~ hskp10 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_313,negated_conjecture,
( c1_1(a1219)
| ~ hskp9 ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_314,negated_conjecture,
( c2_1(a1219)
| ~ hskp9 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_315,negated_conjecture,
( c1_1(a1215)
| ~ hskp6 ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_316,negated_conjecture,
( c2_1(a1215)
| ~ hskp6 ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_318,negated_conjecture,
( c1_1(a1211)
| ~ hskp4 ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_319,negated_conjecture,
( c0_1(a1210)
| ~ hskp3 ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_320,negated_conjecture,
( c1_1(a1210)
| ~ hskp3 ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_321,negated_conjecture,
( c0_1(a1206)
| ~ hskp1 ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_322,negated_conjecture,
( c2_1(a1206)
| ~ hskp1 ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_323,negated_conjecture,
( c2_1(a1205)
| ~ hskp0 ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_324,negated_conjecture,
( ~ hskp24
| ~ c1_1(a1267) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_325,negated_conjecture,
( ~ hskp24
| ~ c2_1(a1267) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_329,negated_conjecture,
( ~ hskp22
| ~ c2_1(a1259) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_330,negated_conjecture,
( ~ hskp22
| ~ c3_1(a1259) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_331,negated_conjecture,
( ~ hskp21
| ~ c0_1(a1257) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_332,negated_conjecture,
( ~ hskp21
| ~ c1_1(a1257) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_334,negated_conjecture,
( ~ hskp19
| ~ c2_1(a1247) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_335,negated_conjecture,
( ~ hskp19
| ~ c3_1(a1247) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_340,negated_conjecture,
( ~ hskp15
| ~ c2_1(a1233) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_341,negated_conjecture,
( ~ hskp14
| ~ c0_1(a1232) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_342,negated_conjecture,
( ~ hskp14
| ~ c2_1(a1232) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_343,negated_conjecture,
( ~ hskp13
| ~ c1_1(a1229) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_345,negated_conjecture,
( ~ hskp11
| ~ c2_1(a1224) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_346,negated_conjecture,
( ~ hskp10
| ~ c1_1(a1223) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_347,negated_conjecture,
( ~ hskp10
| ~ c3_1(a1223) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_348,negated_conjecture,
( ~ hskp9
| ~ c0_1(a1219) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_349,negated_conjecture,
( ~ hskp8
| ~ c0_1(a1217) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_350,negated_conjecture,
( ~ hskp8
| ~ c1_1(a1217) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_351,negated_conjecture,
( ~ hskp8
| ~ c3_1(a1217) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_355,negated_conjecture,
( ~ hskp6
| ~ c3_1(a1215) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_356,negated_conjecture,
( ~ hskp5
| ~ c0_1(a1212) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_357,negated_conjecture,
( ~ hskp5
| ~ c3_1(a1212) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_358,negated_conjecture,
( ~ hskp4
| ~ c0_1(a1211) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_359,negated_conjecture,
( ~ hskp4
| ~ c2_1(a1211) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_361,negated_conjecture,
( ~ hskp2
| ~ c0_1(a1207) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_362,negated_conjecture,
( ~ hskp2
| ~ c1_1(a1207) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_363,negated_conjecture,
( ~ hskp2
| ~ c2_1(a1207) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_364,negated_conjecture,
( ~ hskp1
| ~ c3_1(a1206) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_365,negated_conjecture,
( ~ hskp0
| ~ c0_1(a1205) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_366,negated_conjecture,
( ~ hskp0
| ~ c1_1(a1205) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_367,negated_conjecture,
! [X0: $i] :
( hskp28
| c2_1(X0)
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_373,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp27
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_374,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp15
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_377,negated_conjecture,
! [X0: $i] :
( hskp6
| hskp13
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_378,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp14
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_380,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp11
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_382,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp22
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_385,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp26
| c2_1(X0)
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_387,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_388,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c2_1(X1)
| c2_1(X0)
| c3_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_389,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c2_1(X1)
| c3_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_390,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp25
| c2_1(X1)
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_393,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c2_1(X1)
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_394,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_395,negated_conjecture,
! [X0: $i,X1: $i] :
( c3_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_397,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,[],[f161]) ).
tcf(c_398,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_399,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| c2_1(X0)
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_401,negated_conjecture,
! [X0: $i,X1: $i] :
( c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_404,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_405,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_406,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_408,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_409,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp19
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_410,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_413,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X0)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_416,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c3_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_417,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_418,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_419,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c3_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_420,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_421,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X2)
| c3_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_422,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c1_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_423,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_424,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_448,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_266,c_268,c_265,c_241,c_240]) ).
tcf(c_506,negated_conjecture,
! [X0: $i] :
( hskp28
| c2_1(X0)
| c3_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_367,c_268,c_265,c_241,c_240,c_367]) ).
tcf(c_527,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp14
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_378,c_268,c_265,c_241,c_240,c_378]) ).
tcf(c_530,negated_conjecture,
! [X0: $i] :
( hskp6
| hskp13
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_377,c_268,c_265,c_241,c_240,c_377]) ).
tcf(c_539,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp15
| c2_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_374,c_268,c_265,c_241,c_240,c_374]) ).
tcf(c_542,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp27
| c3_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_373,c_268,c_265,c_241,c_240,c_373]) ).
tcf(c_548,plain,
! [X0: $i] :
( hskp8
| hskp11
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_380,c_268,c_265,c_241,c_240,c_380]) ).
tcf(c_549,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp11
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_548]) ).
tcf(c_557,plain,
! [X0: $i] :
( hskp13
| hskp22
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_382,c_268,c_265,c_241,c_240,c_382]) ).
tcf(c_558,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp22
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_557]) ).
tcf(c_562,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp26
| c2_1(X0)
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_385,c_268,c_265,c_241,c_240,c_385]) ).
tcf(c_564,plain,
! [X0: $i,X1: $i] :
( hskp10
| c2_1(X1)
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_393,c_268,c_265,c_241,c_240,c_393]) ).
tcf(c_565,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c2_1(X1)
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_564]) ).
tcf(c_571,plain,
! [X0: $i,X1: $i] :
( hskp25
| 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_390,c_268,c_265,c_241,c_240,c_390]) ).
tcf(c_572,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp25
| c2_1(X1)
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_571]) ).
tcf(c_573,plain,
! [X0: $i,X1: $i] :
( hskp8
| 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_389,c_268,c_265,c_241,c_240,c_389]) ).
tcf(c_574,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c2_1(X1)
| c3_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_573]) ).
tcf(c_576,plain,
! [X0: $i,X1: $i] :
( hskp27
| c2_1(X1)
| c2_1(X0)
| c3_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_388,c_268,c_265,c_241,c_240,c_388]) ).
tcf(c_577,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c2_1(X1)
| c2_1(X0)
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_576]) ).
tcf(c_578,plain,
! [X0: $i,X1: $i] :
( hskp4
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_387,c_268,c_265,c_241,c_240,c_387]) ).
tcf(c_579,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_578]) ).
tcf(c_582,plain,
! [X0: $i,X1: $i] :
( c2_1(X1)
| c3_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_401,c_268,c_265,c_241,c_240,c_401]) ).
tcf(c_583,negated_conjecture,
! [X0: $i,X1: $i] :
( c2_1(X1)
| c3_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_582]) ).
tcf(c_586,plain,
! [X0: $i,X1: $i] :
( hskp14
| c2_1(X0)
| c3_1(X1)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_399,c_268,c_265,c_241,c_240,c_399]) ).
tcf(c_587,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| c2_1(X0)
| c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_586]) ).
tcf(c_588,plain,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_398,c_268,c_265,c_241,c_240,c_398]) ).
tcf(c_589,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_588]) ).
tcf(c_590,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_397,c_268,c_265,c_241,c_240,c_397]) ).
tcf(c_591,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_590]) ).
tcf(c_594,plain,
! [X0: $i,X1: $i] :
( c3_1(X1)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_395,c_268,c_265,c_241,c_240,c_395]) ).
tcf(c_595,negated_conjecture,
! [X0: $i,X1: $i] :
( c3_1(X1)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_594]) ).
tcf(c_596,plain,
! [X0: $i,X1: $i] :
( hskp3
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_394,c_268,c_265,c_241,c_240,c_394]) ).
tcf(c_597,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_596]) ).
tcf(c_599,plain,
! [X0: $i,X1: $i] :
( hskp19
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_409,c_268,c_265,c_241,c_240,c_409]) ).
tcf(c_600,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp19
| c2_1(X0)
| c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_599]) ).
tcf(c_601,plain,
! [X0: $i,X1: $i] :
( hskp6
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_408,c_268,c_265,c_241,c_240,c_408]) ).
tcf(c_602,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c2_1(X0)
| c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_601]) ).
tcf(c_605,plain,
! [X0: $i,X1: $i] :
( hskp3
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_406,c_268,c_265,c_241,c_240,c_406]) ).
tcf(c_606,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_605]) ).
tcf(c_608,plain,
! [X0: $i,X1: $i] :
( hskp1
| c2_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_405,c_268,c_265,c_241,c_240,c_405]) ).
tcf(c_609,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c2_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_608]) ).
tcf(c_610,plain,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_404,c_268,c_265,c_241,c_240,c_404]) ).
tcf(c_611,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_610]) ).
tcf(c_618,plain,
! [X0: $i,X1: $i] :
( hskp8
| c2_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_410,c_268,c_265,c_241,c_240,c_410]) ).
tcf(c_619,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_618]) ).
tcf(c_625,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X0)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_413,c_268,c_265,c_241,c_240,c_413]) ).
tcf(c_626,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X0)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_625]) ).
tcf(c_627,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_417,c_268,c_265,c_241,c_240,c_417]) ).
tcf(c_628,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_627]) ).
tcf(c_629,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c3_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_416,c_268,c_265,c_241,c_240,c_416]) ).
tcf(c_630,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c3_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_629]) ).
tcf(c_631,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c3_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_419,c_268,c_265,c_241,c_240,c_419]) ).
tcf(c_632,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c3_1(X0)
| c1_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_631]) ).
tcf(c_633,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_418,c_268,c_265,c_241,c_240,c_418]) ).
tcf(c_634,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_633]) ).
tcf(c_635,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X2)
| c3_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_421,c_268,c_265,c_241,c_240,c_421]) ).
tcf(c_636,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X2)
| c3_1(X1)
| c0_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_635]) ).
tcf(c_637,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_420,c_268,c_265,c_241,c_240,c_420]) ).
tcf(c_638,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c0_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_637]) ).
tcf(c_639,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_423,c_423,c_448]) ).
tcf(c_640,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_639]) ).
tcf(c_641,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c1_1(X2)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_422,c_268,c_265,c_241,c_240,c_422]) ).
tcf(c_642,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c1_1(X2)
| c0_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_641]) ).
tcf(c_643,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_424,c_268,c_265,c_241,c_240,c_424]) ).
tcf(c_644,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_643]) ).
tcf(c_1494,plain,
! [X0: $i,X1: $i] :
( hskp3
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_597,c_606]) ).
tcf(c_1903,plain,
( hskp25
| ~ c1_1(a1257) ),
inference(resolution,[status(thm)],[c_237,c_332]) ).
tcf(c_1910,plain,
( hskp25
| ~ c0_1(a1257) ),
inference(resolution,[status(thm)],[c_237,c_331]) ).
tcf(c_1917,plain,
( hskp25
| c3_1(a1257) ),
inference(resolution,[status(thm)],[c_237,c_294]) ).
tcf(c_2458,plain,
( hskp14
| hskp19
| ~ c2_1(a1267) ),
inference(resolution,[status(thm)],[c_272,c_325]) ).
tcf(c_2468,plain,
( hskp14
| hskp19
| ~ c1_1(a1267) ),
inference(resolution,[status(thm)],[c_272,c_324]) ).
tcf(c_2478,plain,
( hskp14
| hskp19
| c0_1(a1267) ),
inference(resolution,[status(thm)],[c_272,c_292]) ).
tcf(c_2518,plain,
( hskp26
| hskp28
| ~ c2_1(a1267) ),
inference(resolution,[status(thm)],[c_267,c_325]) ).
tcf(c_2528,plain,
( hskp26
| hskp28
| ~ c1_1(a1267) ),
inference(resolution,[status(thm)],[c_267,c_324]) ).
tcf(c_2538,plain,
( hskp26
| hskp28
| c0_1(a1267) ),
inference(resolution,[status(thm)],[c_267,c_292]) ).
tcf(c_3703,plain,
( hskp6
| hskp15
| ~ c3_1(a1212) ),
inference(resolution,[status(thm)],[c_269,c_357]) ).
tcf(c_3713,plain,
( hskp6
| hskp15
| ~ c0_1(a1212) ),
inference(resolution,[status(thm)],[c_269,c_356]) ).
tcf(c_4525,plain,
( hskp19
| hskp27
| ~ c2_1(a1207) ),
inference(resolution,[status(thm)],[c_276,c_363]) ).
tcf(c_4535,plain,
( hskp19
| hskp27
| ~ c1_1(a1207) ),
inference(resolution,[status(thm)],[c_276,c_362]) ).
tcf(c_4545,plain,
( hskp19
| hskp27
| ~ c0_1(a1207) ),
inference(resolution,[status(thm)],[c_276,c_361]) ).
tcf(c_6042,plain,
( hskp1
| hskp26
| c3_1(a1204) ),
inference(resolution,[status(thm)],[c_268,c_291]) ).
tcf(c_6052,plain,
( hskp1
| hskp26
| c2_1(a1204) ),
inference(resolution,[status(thm)],[c_268,c_290]) ).
tcf(c_6062,plain,
( hskp1
| hskp26
| c0_1(a1204) ),
inference(resolution,[status(thm)],[c_268,c_289]) ).
tcf(c_6984,plain,
( hskp8
| hskp22
| ~ c3_1(a1215) ),
inference(resolution,[status(thm)],[c_274,c_355]) ).
tcf(c_7004,plain,
( hskp8
| hskp22
| c1_1(a1215) ),
inference(resolution,[status(thm)],[c_274,c_315]) ).
tcf(c_7359,plain,
( hskp26
| hskp25
| ~ c3_1(a1206) ),
inference(resolution,[status(thm)],[c_268,c_364]) ).
tcf(c_7369,plain,
( hskp26
| hskp25
| c2_1(a1206) ),
inference(resolution,[status(thm)],[c_268,c_322]) ).
tcf(c_7379,plain,
( hskp26
| hskp25
| c0_1(a1206) ),
inference(resolution,[status(thm)],[c_268,c_321]) ).
tcf(c_15041,plain,
! [X0: $i] :
( ~ iPr_def_10
| c0_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_1494]) ).
tcf(c_15042,plain,
! [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_1494]) ).
tcf(c_15043,plain,
( iPr_def_11
| iPr_def_10
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1494]) ).
tcf(c_15044,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_644]) ).
tcf(c_15046,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_644]) ).
tcf(c_15048,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_642]) ).
tcf(c_15049,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_642]) ).
tcf(c_15050,negated_conjecture,
( iPr_def_16
| iPr_def_15
| iPr_def_14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_642]) ).
tcf(c_15051,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_640]) ).
tcf(c_15052,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_640]) ).
tcf(c_15053,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_640]) ).
tcf(c_15054,negated_conjecture,
( iPr_def_19
| iPr_def_18
| iPr_def_17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_640]) ).
tcf(c_15055,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_638]) ).
tcf(c_15056,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_638]) ).
tcf(c_15059,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_23
| c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_636]) ).
tcf(c_15061,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_634]) ).
tcf(c_15062,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_634]) ).
tcf(c_15063,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_26
| ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_634]) ).
tcf(c_15065,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_632]) ).
tcf(c_15066,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| ~ c1_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_632]) ).
tcf(c_15067,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| ~ c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_632]) ).
tcf(c_15068,negated_conjecture,
( iPr_def_29
| iPr_def_28
| iPr_def_27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_632]) ).
tcf(c_15069,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_30
| c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_630]) ).
tcf(c_15070,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| ~ c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_630]) ).
tcf(c_15071,negated_conjecture,
( iPr_def_31
| iPr_def_30
| iPr_def_23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_630]) ).
tcf(c_15072,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| ~ c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_628]) ).
tcf(c_15073,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_33
| c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_628]) ).
tcf(c_15074,negated_conjecture,
( iPr_def_33
| iPr_def_32
| iPr_def_20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_628]) ).
tcf(c_15075,negated_conjecture,
( iPr_def_33
| iPr_def_25
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_626]) ).
tcf(c_15078,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_34
| ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_619]) ).
tcf(c_15079,negated_conjecture,
( iPr_def_34
| iPr_def_19
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_619]) ).
tcf(c_15083,negated_conjecture,
( iPr_def_33
| iPr_def_21
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_611]) ).
tcf(c_15084,negated_conjecture,
( iPr_def_34
| iPr_def_24
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_609]) ).
tcf(c_15087,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_36
| ~ c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_602]) ).
tcf(c_15088,negated_conjecture,
( iPr_def_36
| iPr_def_31
| hskp6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_602]) ).
tcf(c_15089,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_37
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_600]) ).
tcf(c_15090,negated_conjecture,
( iPr_def_37
| iPr_def_34
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_600]) ).
tcf(c_15091,negated_conjecture,
( iPr_def_33
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_595]) ).
tcf(c_15093,negated_conjecture,
( iPr_def_27
| iPr_def_16
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_591]) ).
tcf(c_15094,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_38
| c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_589]) ).
tcf(c_15095,negated_conjecture,
( iPr_def_38
| iPr_def_26
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_589]) ).
tcf(c_15096,negated_conjecture,
( iPr_def_38
| iPr_def_17
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_587]) ).
tcf(c_15098,negated_conjecture,
( iPr_def_20
| iPr_def_19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_583]) ).
tcf(c_15100,negated_conjecture,
( iPr_def_20
| iPr_def_15
| hskp4 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_579]) ).
tcf(c_15101,negated_conjecture,
( iPr_def_34
| iPr_def_23
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_577]) ).
tcf(c_15102,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_39
| c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_574]) ).
tcf(c_15104,negated_conjecture,
( iPr_def_39
| iPr_def_32
| hskp25 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_572]) ).
tcf(c_15108,negated_conjecture,
( iPr_def_27
| iPr_def_20
| hskp10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_565]) ).
tcf(c_15109,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_41
| c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_562]) ).
tcf(c_15110,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_42
| c1_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_42])],[c_562]) ).
tcf(c_15111,negated_conjecture,
( iPr_def_42
| iPr_def_41
| hskp26 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_562]) ).
tcf(c_15113,negated_conjecture,
( iPr_def_19
| hskp13
| hskp22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_558]) ).
tcf(c_15116,negated_conjecture,
( iPr_def_34
| hskp8
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_549]) ).
tcf(c_15118,negated_conjecture,
( iPr_def_33
| hskp0
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_542]) ).
tcf(c_15119,negated_conjecture,
( iPr_def_42
| hskp4
| hskp15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_539]) ).
tcf(c_15122,negated_conjecture,
( iPr_def_38
| hskp6
| hskp13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_530]) ).
tcf(c_15123,negated_conjecture,
( iPr_def_38
| hskp13
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_527]) ).
tcf(c_15151,plain,
( c1_1(a1204)
| ~ iPr_def_26
| ~ c3_1(a1204)
| ~ c0_1(a1204) ),
inference(instantiation,[status(thm)],[c_15063]) ).
tcf(c_15156,plain,
( c1_1(a1204)
| ~ iPr_def_36
| ~ c2_1(a1204)
| ~ c0_1(a1204) ),
inference(instantiation,[status(thm)],[c_15087]) ).
tcf(c_15157,plain,
( c1_1(a1204)
| ~ iPr_def_37
| ~ c2_1(a1204)
| ~ c3_1(a1204) ),
inference(instantiation,[status(thm)],[c_15089]) ).
tcf(c_15158,plain,
( ~ iPr_def_12
| ~ c2_1(a1204)
| ~ c3_1(a1204)
| ~ c1_1(a1204) ),
inference(instantiation,[status(thm)],[c_15044]) ).
tcf(c_15160,plain,
( ~ iPr_def_19
| ~ c2_1(a1204)
| ~ c1_1(a1204)
| ~ c0_1(a1204) ),
inference(instantiation,[status(thm)],[c_15053]) ).
tcf(c_15161,plain,
( ~ iPr_def_21
| ~ c2_1(a1204)
| ~ c3_1(a1204)
| ~ c0_1(a1204) ),
inference(instantiation,[status(thm)],[c_15056]) ).
tcf(c_15162,plain,
( ~ iPr_def_14
| ~ c3_1(a1214)
| ~ c1_1(a1214)
| ~ c0_1(a1214) ),
inference(instantiation,[status(thm)],[c_15046]) ).
tcf(c_15166,plain,
( ~ iPr_def_14
| ~ c3_1(a1224)
| ~ c1_1(a1224)
| ~ c0_1(a1224) ),
inference(instantiation,[status(thm)],[c_15046]) ).
tcf(c_15170,plain,
( ~ iPr_def_19
| ~ c2_1(a1214)
| ~ c1_1(a1214)
| ~ c0_1(a1214) ),
inference(instantiation,[status(thm)],[c_15053]) ).
tcf(c_15171,plain,
( ~ iPr_def_19
| ~ c2_1(a1208)
| ~ c1_1(a1208)
| ~ c0_1(a1208) ),
inference(instantiation,[status(thm)],[c_15053]) ).
tcf(c_15176,plain,
( ~ iPr_def_19
| ~ c2_1(a1215)
| ~ c1_1(a1215)
| ~ c0_1(a1215) ),
inference(instantiation,[status(thm)],[c_15053]) ).
tcf(c_15177,plain,
( ~ iPr_def_19
| ~ c2_1(a1210)
| ~ c1_1(a1210)
| ~ c0_1(a1210) ),
inference(instantiation,[status(thm)],[c_15053]) ).
tcf(c_15179,plain,
( c2_1(a1247)
| c3_1(a1247)
| ~ iPr_def_20
| ~ c0_1(a1247) ),
inference(instantiation,[status(thm)],[c_15055]) ).
tcf(c_15180,plain,
( c2_1(a1233)
| c3_1(a1233)
| ~ iPr_def_20
| ~ c0_1(a1233) ),
inference(instantiation,[status(thm)],[c_15055]) ).
tcf(c_15189,plain,
( c2_1(a1217)
| c3_1(a1217)
| c0_1(a1217)
| ~ iPr_def_23 ),
inference(instantiation,[status(thm)],[c_15059]) ).
tcf(c_15197,plain,
( c0_1(a1219)
| ~ iPr_def_24
| ~ c2_1(a1219)
| ~ c1_1(a1219) ),
inference(instantiation,[status(thm)],[c_15061]) ).
tcf(c_15198,plain,
( c0_1(a1215)
| ~ iPr_def_24
| ~ c2_1(a1215)
| ~ c1_1(a1215) ),
inference(instantiation,[status(thm)],[c_15061]) ).
tcf(c_15209,plain,
( c3_1(a1247)
| c0_1(a1247)
| ~ iPr_def_33
| ~ c1_1(a1247) ),
inference(instantiation,[status(thm)],[c_15073]) ).
tcf(c_15212,plain,
( c3_1(a1219)
| c0_1(a1219)
| ~ iPr_def_33
| ~ c1_1(a1219) ),
inference(instantiation,[status(thm)],[c_15073]) ).
tcf(c_15213,plain,
( c3_1(a1215)
| c0_1(a1215)
| ~ iPr_def_33
| ~ c1_1(a1215) ),
inference(instantiation,[status(thm)],[c_15073]) ).
tcf(c_15217,plain,
( hskp28
| c2_1(a1247)
| c3_1(a1247)
| c0_1(a1247) ),
inference(instantiation,[status(thm)],[c_506]) ).
tcf(c_15227,plain,
( c2_1(a1267)
| c1_1(a1267)
| ~ iPr_def_27
| ~ c0_1(a1267) ),
inference(instantiation,[status(thm)],[c_15065]) ).
tcf(c_15228,plain,
( c2_1(a1267)
| c3_1(a1267)
| ~ iPr_def_20
| ~ c0_1(a1267) ),
inference(instantiation,[status(thm)],[c_15055]) ).
tcf(c_15229,plain,
( c2_1(a1267)
| c1_1(a1267)
| ~ iPr_def_42
| ~ c3_1(a1267) ),
inference(instantiation,[status(thm)],[c_15110]) ).
tcf(c_15233,plain,
( c2_1(a1232)
| c1_1(a1232)
| ~ iPr_def_42
| ~ c3_1(a1232) ),
inference(instantiation,[status(thm)],[c_15110]) ).
tcf(c_15237,plain,
( c2_1(a1247)
| c3_1(a1247)
| c0_1(a1247)
| ~ iPr_def_23 ),
inference(instantiation,[status(thm)],[c_15059]) ).
tcf(c_15239,plain,
( c2_1(a1214)
| ~ iPr_def_34
| ~ c1_1(a1214)
| ~ c0_1(a1214) ),
inference(instantiation,[status(thm)],[c_15078]) ).
tcf(c_15242,plain,
( c2_1(a1233)
| ~ iPr_def_34
| ~ c1_1(a1233)
| ~ c0_1(a1233) ),
inference(instantiation,[status(thm)],[c_15078]) ).
tcf(c_15246,plain,
( c2_1(a1210)
| ~ iPr_def_34
| ~ c1_1(a1210)
| ~ c0_1(a1210) ),
inference(instantiation,[status(thm)],[c_15078]) ).
tcf(c_15253,plain,
( c1_1(a1205)
| c0_1(a1205)
| ~ iPr_def_30
| ~ c2_1(a1205) ),
inference(instantiation,[status(thm)],[c_15069]) ).
tcf(c_15303,plain,
( ~ iPr_def_12
| ~ c2_1(a1214)
| ~ c3_1(a1214)
| ~ c1_1(a1214) ),
inference(instantiation,[status(thm)],[c_15044]) ).
tcf(c_15318,plain,
( c1_1(a1257)
| c0_1(a1257)
| ~ iPr_def_15
| ~ c3_1(a1257) ),
inference(instantiation,[status(thm)],[c_15048]) ).
tcf(c_15319,plain,
( c1_1(a1232)
| c0_1(a1232)
| ~ iPr_def_15
| ~ c3_1(a1232) ),
inference(instantiation,[status(thm)],[c_15048]) ).
tcf(c_15333,plain,
( c2_1(a1267)
| ~ iPr_def_31
| ~ c3_1(a1267)
| ~ c0_1(a1267) ),
inference(instantiation,[status(thm)],[c_15070]) ).
tcf(c_15345,plain,
( c3_1(a1247)
| ~ iPr_def_29
| ~ c1_1(a1247)
| ~ c0_1(a1247) ),
inference(instantiation,[status(thm)],[c_15067]) ).
tcf(c_15486,plain,
( c2_1(a1247)
| c3_1(a1247)
| ~ iPr_def_28
| ~ c1_1(a1247) ),
inference(instantiation,[status(thm)],[c_15066]) ).
tcf(c_15507,plain,
( ~ iPr_def_12
| ~ c2_1(a1213)
| ~ c3_1(a1213)
| ~ c1_1(a1213) ),
inference(instantiation,[status(thm)],[c_15044]) ).
tcf(c_15559,plain,
( c0_1(a1232)
| ~ iPr_def_10
| ~ c3_1(a1232) ),
inference(instantiation,[status(thm)],[c_15041]) ).
tcf(c_15560,plain,
( c0_1(a1219)
| ~ iPr_def_10
| ~ c3_1(a1219) ),
inference(instantiation,[status(thm)],[c_15041]) ).
tcf(c_15563,plain,
( c0_1(a1205)
| ~ iPr_def_10
| ~ c3_1(a1205) ),
inference(instantiation,[status(thm)],[c_15041]) ).
tcf(c_15611,plain,
( c0_1(a1219)
| ~ iPr_def_11
| ~ c2_1(a1219)
| ~ c3_1(a1219) ),
inference(instantiation,[status(thm)],[c_15042]) ).
tcf(c_15614,plain,
( c0_1(a1205)
| ~ iPr_def_11
| ~ c2_1(a1205)
| ~ c3_1(a1205) ),
inference(instantiation,[status(thm)],[c_15042]) ).
tcf(c_15644,plain,
( c3_1(a1267)
| c1_1(a1267)
| ~ iPr_def_32
| ~ c0_1(a1267) ),
inference(instantiation,[status(thm)],[c_15072]) ).
tcf(c_15649,plain,
( c3_1(a1206)
| c1_1(a1206)
| ~ iPr_def_32
| ~ c0_1(a1206) ),
inference(instantiation,[status(thm)],[c_15072]) ).
tcf(c_15684,plain,
( ~ iPr_def_19
| ~ c2_1(a1206)
| ~ c1_1(a1206)
| ~ c0_1(a1206) ),
inference(instantiation,[status(thm)],[c_15053]) ).
tcf(c_15697,plain,
( c2_1(a1257)
| c1_1(a1257)
| c0_1(a1257)
| ~ iPr_def_25 ),
inference(instantiation,[status(thm)],[c_15062]) ).
tcf(c_15705,plain,
( c2_1(a1207)
| c1_1(a1207)
| c0_1(a1207)
| ~ iPr_def_25 ),
inference(instantiation,[status(thm)],[c_15062]) ).
tcf(c_15726,plain,
( c1_1(a1257)
| ~ iPr_def_37
| ~ c2_1(a1257)
| ~ c3_1(a1257) ),
inference(instantiation,[status(thm)],[c_15089]) ).
tcf(c_15730,plain,
( c1_1(a1229)
| ~ iPr_def_37
| ~ c2_1(a1229)
| ~ c3_1(a1229) ),
inference(instantiation,[status(thm)],[c_15089]) ).
tcf(c_15738,plain,
( c2_1(a1257)
| c1_1(a1257)
| ~ iPr_def_42
| ~ c3_1(a1257) ),
inference(instantiation,[status(thm)],[c_15110]) ).
tcf(c_15845,plain,
( c2_1(a1214)
| ~ iPr_def_31
| ~ c3_1(a1214)
| ~ c0_1(a1214) ),
inference(instantiation,[status(thm)],[c_15070]) ).
tcf(c_15854,plain,
( c3_1(a1211)
| c0_1(a1211)
| ~ iPr_def_33
| ~ c1_1(a1211) ),
inference(instantiation,[status(thm)],[c_15073]) ).
tcf(c_15869,plain,
( c3_1(a1223)
| c1_1(a1223)
| ~ iPr_def_38
| ~ c2_1(a1223) ),
inference(instantiation,[status(thm)],[c_15094]) ).
tcf(c_15870,plain,
( c3_1(a1217)
| c1_1(a1217)
| ~ iPr_def_38
| ~ c2_1(a1217) ),
inference(instantiation,[status(thm)],[c_15094]) ).
tcf(c_15998,plain,
( hskp28
| c2_1(a1207)
| c3_1(a1207)
| c0_1(a1207) ),
inference(instantiation,[status(thm)],[c_506]) ).
tcf(c_16052,plain,
( c3_1(a1215)
| ~ iPr_def_16
| ~ c2_1(a1215)
| ~ c0_1(a1215) ),
inference(instantiation,[status(thm)],[c_15049]) ).
tcf(c_16054,plain,
( c3_1(a1206)
| ~ iPr_def_16
| ~ c2_1(a1206)
| ~ c0_1(a1206) ),
inference(instantiation,[status(thm)],[c_15049]) ).
tcf(c_16069,plain,
( c1_1(a1229)
| ~ iPr_def_36
| ~ c2_1(a1229)
| ~ c0_1(a1229) ),
inference(instantiation,[status(thm)],[c_15087]) ).
tcf(c_16074,plain,
( c1_1(a1206)
| ~ iPr_def_36
| ~ c2_1(a1206)
| ~ c0_1(a1206) ),
inference(instantiation,[status(thm)],[c_15087]) ).
tcf(c_16079,plain,
( c2_1(a1232)
| c0_1(a1232)
| ~ iPr_def_39
| ~ c1_1(a1232) ),
inference(instantiation,[status(thm)],[c_15102]) ).
tcf(c_16089,plain,
( c2_1(a1224)
| c0_1(a1224)
| ~ iPr_def_39
| ~ c1_1(a1224) ),
inference(instantiation,[status(thm)],[c_15102]) ).
tcf(c_16094,plain,
( c3_1(a1217)
| c1_1(a1217)
| c0_1(a1217)
| ~ iPr_def_41 ),
inference(instantiation,[status(thm)],[c_15109]) ).
tcf(c_16096,plain,
( c3_1(a1212)
| c1_1(a1212)
| c0_1(a1212)
| ~ iPr_def_41 ),
inference(instantiation,[status(thm)],[c_15109]) ).
tcf(c_16100,plain,
( c3_1(a1205)
| c1_1(a1205)
| c0_1(a1205)
| ~ iPr_def_41 ),
inference(instantiation,[status(thm)],[c_15109]) ).
tcf(c_16109,plain,
( c2_1(a1259)
| c3_1(a1259)
| ~ iPr_def_20
| ~ c0_1(a1259) ),
inference(instantiation,[status(thm)],[c_15055]) ).
tcf(c_16122,plain,
( c2_1(a1257)
| c0_1(a1257)
| ~ iPr_def_18
| ~ c3_1(a1257) ),
inference(instantiation,[status(thm)],[c_15052]) ).
tcf(c_16123,plain,
( c2_1(a1232)
| c0_1(a1232)
| ~ iPr_def_18
| ~ c3_1(a1232) ),
inference(instantiation,[status(thm)],[c_15052]) ).
tcf(c_16128,plain,
( c2_1(a1207)
| c0_1(a1207)
| ~ iPr_def_18
| ~ c3_1(a1207) ),
inference(instantiation,[status(thm)],[c_15052]) ).
tcf(c_16149,plain,
( c3_1(a1229)
| ~ iPr_def_16
| ~ c2_1(a1229)
| ~ c0_1(a1229) ),
inference(instantiation,[status(thm)],[c_15049]) ).
tcf(c_16183,plain,
( c1_1(a1229)
| ~ iPr_def_26
| ~ c3_1(a1229)
| ~ c0_1(a1229) ),
inference(instantiation,[status(thm)],[c_15063]) ).
tcf(c_16216,plain,
( c3_1(a1212)
| c0_1(a1212)
| ~ iPr_def_33
| ~ c1_1(a1212) ),
inference(instantiation,[status(thm)],[c_15073]) ).
tcf(c_16377,plain,
( c2_1(a1214)
| ~ iPr_def_17
| ~ c3_1(a1214)
| ~ c1_1(a1214) ),
inference(instantiation,[status(thm)],[c_15051]) ).
tcf(c_16380,plain,
( c2_1(a1233)
| ~ iPr_def_17
| ~ c3_1(a1233)
| ~ c1_1(a1233) ),
inference(instantiation,[status(thm)],[c_15051]) ).
tcf(c_16384,plain,
( c2_1(a1211)
| ~ iPr_def_17
| ~ c3_1(a1211)
| ~ c1_1(a1211) ),
inference(instantiation,[status(thm)],[c_15051]) ).
tcf(c_16389,plain,
( c2_1(a1232)
| ~ iPr_def_17
| ~ c3_1(a1232)
| ~ c1_1(a1232) ),
inference(instantiation,[status(thm)],[c_15051]) ).
tcf(c_16413,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_16389,c_16384,c_16380,c_16377,c_16216,c_16183,c_16149,c_16128,c_16123,c_16122,c_16109,c_16100,c_16096,c_16094,c_16089,c_16079,c_16074,c_16069,c_16054,c_16052,c_15998,c_15870,c_15869,c_15854,c_15845,c_15738,c_15730,c_15726,c_15705,c_15697,c_15684,c_15649,c_15644,c_15614,c_15611,c_15563,c_15560,c_15559,c_15507,c_15486,c_15345,c_15333,c_15319,c_15318,c_15303,c_15253,c_15246,c_15242,c_15239,c_15237,c_15233,c_15229,c_15227,c_15228,c_15217,c_15213,c_15212,c_15209,c_15198,c_15197,c_15189,c_15180,c_15179,c_15177,c_15176,c_15171,c_15170,c_15166,c_15162,c_15161,c_15160,c_15158,c_15157,c_15156,c_15151,c_15123,c_15122,c_15119,c_15118,c_15116,c_15113,c_15111,c_15108,c_15104,c_15101,c_15100,c_15096,c_15095,c_15093,c_15090,c_15088,c_15084,c_15083,c_15079,c_15075,c_15074,c_15071,c_15068,c_15054,c_15050,c_15043,c_15098,c_15091,c_7379,c_7369,c_7359,c_7004,c_6984,c_6062,c_6052,c_6042,c_4545,c_4535,c_4525,c_3713,c_3703,c_2538,c_2528,c_2518,c_2478,c_2468,c_2458,c_1917,c_1910,c_1903,c_329,c_330,c_334,c_335,c_340,c_341,c_342,c_343,c_345,c_346,c_347,c_348,c_349,c_350,c_351,c_355,c_358,c_359,c_364,c_365,c_366,c_280,c_281,c_282,c_283,c_284,c_285,c_286,c_287,c_288,c_289,c_290,c_291,c_293,c_297,c_303,c_304,c_305,c_306,c_307,c_310,c_311,c_312,c_313,c_314,c_315,c_316,c_318,c_319,c_320,c_321,c_322,c_323,c_268,c_274]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN477-1 : 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 01:27:51 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
% 0.10/0.44 % Proving...
% 3.99/1.15 % SZS status Started for theBenchmark.p
% 3.99/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.99/1.15
% 3.99/1.15 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.99/1.15
% 3.99/1.15 % ------ iProver source info
% 3.99/1.15
% 3.99/1.15 % git: date: 2026-07-19 20:42:38 +0200
% 3.99/1.15 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.99/1.15 % git: non_committed_changes: false
% 3.99/1.15
% 3.99/1.15 % ------ Parsing...% successful
% 3.99/1.15
% 3.99/1.15
% 3.99/1.15 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 3.99/1.15 %
% 3.99/1.15
% 3.99/1.15 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.99/1.15
% 3.99/1.15 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 3.99/1.15 gs_s sp: 105 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.99/1.15 % ------ Proving...
% 3.99/1.15 % ------ Problem Properties
% 3.99/1.15
% 3.99/1.15 %
% 3.99/1.15 % clauses 191
% 3.99/1.15 % conjectures 188
% 3.99/1.15 % EPR 191
% 3.99/1.15 % Horn 104
% 3.99/1.15 % unary 0
% 3.99/1.15 % binary 90
% 3.99/1.15 % lits 517
% 3.99/1.15 % lits eq 0
% 3.99/1.15 % fd_pure 0
% 3.99/1.15 % fd_pseudo 0
% 3.99/1.15 % fd_cond 0
% 3.99/1.15 % fd_pseudo_cond 0
% 3.99/1.15 % AC symbols 0
% 3.99/1.15
% 3.99/1.15 % ------ Schedule EPR non Horn non eq is on
% 3.99/1.15
% 3.99/1.15 % ------ no equalities: superposition off
% 3.99/1.15
% 3.99/1.15 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.99/1.15
% 3.99/1.15
% 3.99/1.15 % ------
% 3.99/1.15 % Current options:
% 3.99/1.15 % ------
% 3.99/1.15
% 3.99/1.15
% 3.99/1.15 %
% 3.99/1.15
% 3.99/1.15 % ------ Proving...
% 3.99/1.15 %
% 3.99/1.15
% 3.99/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.99/1.15
% 3.99/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.99/1.17
% 3.99/1.17
%------------------------------------------------------------------------------