%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN475-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n008.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 03:40:25 PM UTC 2026
% Result : Unsatisfiable 4.02s 11.18s
% Output : CNFRefutation 4.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 95
% Syntax : Number of formulae : 381 ( 2 unt; 0 def)
% Number of atoms : 1753 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2279 ( 907 ~;1372 |; 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 : 53 ( 52 usr; 49 prp; 0-1 aty)
% Number of functors : 18 ( 18 usr; 18 con; 0-0 aty)
% Number of variables : 314 ( 0 sgn 314 !; 0 ?; 240 :)
% Comments :
%------------------------------------------------------------------------------
fof(f9,negated_conjecture,
( ndr1_0
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f23,negated_conjecture,
( ndr1_0
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f26,negated_conjecture,
( ndr1_0
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f30,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f31,negated_conjecture,
( hskp13
| hskp23
| hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f38,negated_conjecture,
( hskp7
| hskp21
| hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f39,negated_conjecture,
( hskp19
| hskp25
| hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f40,negated_conjecture,
( c0_1(a1040)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f42,negated_conjecture,
( c3_1(a1040)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f50,negated_conjecture,
( c1_1(a1048)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( c1_1(a1045)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( c3_1(a1045)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( c0_1(a1044)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f54,negated_conjecture,
( c1_1(a1044)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f59,negated_conjecture,
( c2_1(a1032)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( c3_1(a1032)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f64,negated_conjecture,
( c3_1(a1023)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( c1_1(a1019)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( c2_1(a1019)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( c3_1(a1015)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f71,negated_conjecture,
( c0_1(a1010)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( c3_1(a1010)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( c2_1(a1008)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( c0_1(a1006)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( c3_1(a1006)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( c1_1(a1004)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( c2_1(a1004)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( c1_1(a1003)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( c0_1(a1002)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( c2_1(a1002)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( c2_1(a1001)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( c3_1(a1001)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( c0_1(a1000)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( c2_1(a1000)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f87,negated_conjecture,
( ~ hskp25
| ~ c0_1(a1048) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( ~ hskp25
| ~ c3_1(a1048) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f89,negated_conjecture,
( ~ hskp24
| ~ c0_1(a1045) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f90,negated_conjecture,
( ~ hskp23
| ~ c3_1(a1044) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f98,negated_conjecture,
( ~ hskp19
| ~ c0_1(a1037) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ hskp19
| ~ c1_1(a1037) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ hskp19
| ~ c3_1(a1037) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f102,negated_conjecture,
( ~ hskp17
| ~ c0_1(a1032) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f109,negated_conjecture,
( ~ hskp13
| ~ c1_1(a1023) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ hskp13
| ~ c2_1(a1023) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ hskp12
| ~ c0_1(a1019) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
fof(f112,negated_conjecture,
( ~ hskp11
| ~ c0_1(a1015) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ hskp11
| ~ c1_1(a1015) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f117,negated_conjecture,
( ~ hskp8
| ~ c1_1(a1010) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ hskp7
| ~ c1_1(a1008) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ hskp7
| ~ c3_1(a1008) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ hskp6
| ~ c2_1(a1006) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ hskp5
| ~ c1_1(a1005) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ hskp5
| ~ c2_1(a1005) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ hskp5
| ~ c3_1(a1005) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
( ~ hskp4
| ~ c3_1(a1004) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ hskp3
| ~ c0_1(a1003) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ hskp3
| ~ c2_1(a1003) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ hskp2
| ~ c1_1(a1002) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ hskp1
| ~ c1_1(a1001) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f129,negated_conjecture,
( ~ hskp0
| ~ c3_1(a1000) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f132,negated_conjecture,
! [X0] :
( hskp7
| hskp8
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f134,negated_conjecture,
! [X0] :
( hskp1
| hskp2
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f138,negated_conjecture,
! [X0] :
( hskp23
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f143,negated_conjecture,
! [X0] :
( hskp3
| hskp23
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f145,negated_conjecture,
! [X0] :
( hskp19
| hskp4
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
fof(f147,negated_conjecture,
! [X0] :
( hskp7
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f149,negated_conjecture,
! [X0] :
( hskp3
| hskp24
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f151,negated_conjecture,
! [X0,X1] :
( hskp2
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f152,negated_conjecture,
! [X0,X1] :
( hskp13
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f154,negated_conjecture,
! [X0,X1] :
( hskp3
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f155,negated_conjecture,
! [X0,X1] :
( hskp6
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f158,negated_conjecture,
! [X0,X1] :
( hskp8
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f161,negated_conjecture,
! [X0,X1] :
( hskp12
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f162,negated_conjecture,
! [X0,X1] :
( hskp17
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
fof(f164,negated_conjecture,
! [X0,X1] :
( hskp4
| c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f165,negated_conjecture,
! [X0,X1] :
( hskp0
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
fof(f167,negated_conjecture,
! [X0,X1] :
( hskp11
| c3_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f169,negated_conjecture,
! [X0,X1] :
( hskp9
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f170,negated_conjecture,
! [X0,X1] :
( hskp19
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f174,negated_conjecture,
! [X0,X1] :
( hskp5
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f176,negated_conjecture,
! [X0,X1] :
( hskp8
| c0_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f179,negated_conjecture,
! [X0,X1] :
( hskp6
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f180,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X0)
| c0_1(X0)
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ c1_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
fof(f181,negated_conjecture,
! [X0,X1] :
( hskp6
| c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f182,negated_conjecture,
! [X0,X1] :
( hskp17
| c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f183,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| c0_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f184,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
fof(f185,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
fof(f186,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
fof(f187,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c2_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).
fof(f188,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).
fof(f189,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c1_1(X1)
| c3_1(X0)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
fof(f190,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c2_1(X1)
| c3_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
fof(f191,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c0_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
fof(f192,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c2_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
tcf(c_249,negated_conjecture,
( ndr1_0
| ~ hskp21 ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_263,negated_conjecture,
( ndr1_0
| ~ hskp7 ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_266,negated_conjecture,
( ndr1_0
| ~ hskp4 ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_270,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_271,negated_conjecture,
( hskp13
| hskp23
| hskp29 ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_278,negated_conjecture,
( hskp4
| hskp7
| hskp21 ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_279,negated_conjecture,
( hskp19
| hskp24
| hskp25 ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_280,negated_conjecture,
( c0_1(a1040)
| ~ hskp29 ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_282,negated_conjecture,
( c3_1(a1040)
| ~ hskp29 ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_290,negated_conjecture,
( c1_1(a1048)
| ~ hskp25 ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_291,negated_conjecture,
( c1_1(a1045)
| ~ hskp24 ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_292,negated_conjecture,
( c3_1(a1045)
| ~ hskp24 ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_293,negated_conjecture,
( c0_1(a1044)
| ~ hskp23 ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_294,negated_conjecture,
( c1_1(a1044)
| ~ hskp23 ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_299,negated_conjecture,
( c2_1(a1032)
| ~ hskp17 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_300,negated_conjecture,
( c3_1(a1032)
| ~ hskp17 ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_304,negated_conjecture,
( c3_1(a1023)
| ~ hskp13 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_305,negated_conjecture,
( c1_1(a1019)
| ~ hskp12 ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_306,negated_conjecture,
( c2_1(a1019)
| ~ hskp12 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_307,negated_conjecture,
( c3_1(a1015)
| ~ hskp11 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_311,negated_conjecture,
( c0_1(a1010)
| ~ hskp8 ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_312,negated_conjecture,
( c3_1(a1010)
| ~ hskp8 ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_313,negated_conjecture,
( c2_1(a1008)
| ~ hskp7 ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_314,negated_conjecture,
( c0_1(a1006)
| ~ hskp6 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_315,negated_conjecture,
( c3_1(a1006)
| ~ hskp6 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_316,negated_conjecture,
( c1_1(a1004)
| ~ hskp4 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_317,negated_conjecture,
( c2_1(a1004)
| ~ hskp4 ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_318,negated_conjecture,
( c1_1(a1003)
| ~ hskp3 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_319,negated_conjecture,
( c0_1(a1002)
| ~ hskp2 ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_320,negated_conjecture,
( c2_1(a1002)
| ~ hskp2 ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_321,negated_conjecture,
( c2_1(a1001)
| ~ hskp1 ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_322,negated_conjecture,
( c3_1(a1001)
| ~ hskp1 ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_323,negated_conjecture,
( c0_1(a1000)
| ~ hskp0 ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_324,negated_conjecture,
( c2_1(a1000)
| ~ hskp0 ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_327,negated_conjecture,
( ~ hskp25
| ~ c0_1(a1048) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_328,negated_conjecture,
( ~ hskp25
| ~ c3_1(a1048) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_329,negated_conjecture,
( ~ hskp24
| ~ c0_1(a1045) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_330,negated_conjecture,
( ~ hskp23
| ~ c3_1(a1044) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_338,negated_conjecture,
( ~ hskp19
| ~ c0_1(a1037) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_339,negated_conjecture,
( ~ hskp19
| ~ c1_1(a1037) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_340,negated_conjecture,
( ~ hskp19
| ~ c3_1(a1037) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_342,negated_conjecture,
( ~ hskp17
| ~ c0_1(a1032) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_349,negated_conjecture,
( ~ hskp13
| ~ c1_1(a1023) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_350,negated_conjecture,
( ~ hskp13
| ~ c2_1(a1023) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_351,negated_conjecture,
( ~ hskp12
| ~ c0_1(a1019) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_352,negated_conjecture,
( ~ hskp11
| ~ c0_1(a1015) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_353,negated_conjecture,
( ~ hskp11
| ~ c1_1(a1015) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_357,negated_conjecture,
( ~ hskp8
| ~ c1_1(a1010) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_358,negated_conjecture,
( ~ hskp7
| ~ c1_1(a1008) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_359,negated_conjecture,
( ~ hskp7
| ~ c3_1(a1008) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_360,negated_conjecture,
( ~ hskp6
| ~ c2_1(a1006) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_361,negated_conjecture,
( ~ hskp5
| ~ c1_1(a1005) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_362,negated_conjecture,
( ~ hskp5
| ~ c2_1(a1005) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_363,negated_conjecture,
( ~ hskp5
| ~ c3_1(a1005) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_364,negated_conjecture,
( ~ hskp4
| ~ c3_1(a1004) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_365,negated_conjecture,
( ~ hskp3
| ~ c0_1(a1003) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_366,negated_conjecture,
( ~ hskp3
| ~ c2_1(a1003) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_367,negated_conjecture,
( ~ hskp2
| ~ c1_1(a1002) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_368,negated_conjecture,
( ~ hskp1
| ~ c1_1(a1001) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_369,negated_conjecture,
( ~ hskp0
| ~ c3_1(a1000) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_372,negated_conjecture,
! [X0: $i] :
( hskp7
| hskp8
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_374,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp2
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_378,negated_conjecture,
! [X0: $i] :
( hskp23
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_383,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp23
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_385,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp19
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_387,negated_conjecture,
! [X0: $i] :
( hskp7
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_389,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp24
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_391,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c2_1(X1)
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_392,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c2_1(X1)
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_394,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_395,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c2_1(X1)
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_398,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c2_1(X0)
| c3_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_401,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp12
| c2_1(X1)
| c2_1(X0)
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_402,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c2_1(X1)
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_404,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_405,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_407,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_409,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X0)
| c3_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_410,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp19
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_414,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_416,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c1_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_419,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_420,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c1_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_421,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_422,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_423,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_424,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_425,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_426,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X2)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_427,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_428,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X1)
| c1_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_429,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_430,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_431,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_432,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_461,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_270,c_278,c_266,c_263,c_249]) ).
tcf(c_527,plain,
! [X0: $i] :
( hskp23
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_378,c_278,c_266,c_263,c_249,c_378]) ).
tcf(c_528,negated_conjecture,
! [X0: $i] :
( hskp23
| c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_527]) ).
tcf(c_539,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp2
| c3_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_374,c_278,c_266,c_263,c_249,c_374]) ).
tcf(c_545,negated_conjecture,
! [X0: $i] :
( hskp7
| hskp8
| c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_372,c_278,c_266,c_263,c_249,c_372]) ).
tcf(c_551,plain,
! [X0: $i] :
( hskp7
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_387,c_278,c_266,c_263,c_249,c_387]) ).
tcf(c_552,negated_conjecture,
! [X0: $i] :
( hskp7
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_551]) ).
tcf(c_557,plain,
! [X0: $i] :
( hskp4
| hskp19
| c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_385,c_278,c_266,c_263,c_249,c_385]) ).
tcf(c_558,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp19
| c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_557]) ).
tcf(c_563,plain,
! [X0: $i] :
( hskp3
| hskp23
| c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_383,c_278,c_266,c_263,c_249,c_383]) ).
tcf(c_564,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp23
| c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_563]) ).
tcf(c_578,plain,
! [X0: $i] :
( hskp3
| hskp24
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_389,c_278,c_266,c_263,c_249,c_389]) ).
tcf(c_579,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp24
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_578]) ).
tcf(c_584,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c2_1(X1)
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c1_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_391,c_278,c_266,c_263,c_249,c_391]) ).
tcf(c_589,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c2_1(X1)
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_392,c_278,c_266,c_263,c_249,c_392]) ).
tcf(c_595,plain,
! [X0: $i,X1: $i] :
( hskp17
| c2_1(X1)
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_402,c_278,c_266,c_263,c_249,c_402]) ).
tcf(c_596,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c2_1(X1)
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_595]) ).
tcf(c_597,plain,
! [X0: $i,X1: $i] :
( hskp12
| c2_1(X1)
| c2_1(X0)
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_401,c_278,c_266,c_263,c_249,c_401]) ).
tcf(c_598,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp12
| c2_1(X1)
| c2_1(X0)
| c3_1(X1)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_597]) ).
tcf(c_603,plain,
! [X0: $i,X1: $i] :
( hskp8
| c2_1(X0)
| c3_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_398,c_278,c_266,c_263,c_249,c_398]) ).
tcf(c_604,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c2_1(X0)
| c3_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_603]) ).
tcf(c_609,plain,
! [X0: $i,X1: $i] :
( hskp6
| 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_395,c_278,c_266,c_263,c_249,c_395]) ).
tcf(c_610,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c2_1(X1)
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_609]) ).
tcf(c_611,plain,
! [X0: $i,X1: $i] :
( hskp3
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_394,c_278,c_266,c_263,c_249,c_394]) ).
tcf(c_612,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_611]) ).
tcf(c_619,plain,
! [X0: $i,X1: $i] :
( hskp19
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_410,c_278,c_266,c_263,c_249,c_410]) ).
tcf(c_620,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp19
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_619]) ).
tcf(c_622,plain,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X0)
| c3_1(X0)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_409,c_278,c_266,c_263,c_249,c_409]) ).
tcf(c_623,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X0)
| c3_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_622]) ).
tcf(c_626,plain,
! [X0: $i,X1: $i] :
( hskp11
| c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_407,c_278,c_266,c_263,c_249,c_407]) ).
tcf(c_627,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_626]) ).
tcf(c_630,plain,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_405,c_278,c_266,c_263,c_249,c_405]) ).
tcf(c_631,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_630]) ).
tcf(c_632,plain,
! [X0: $i,X1: $i] :
( hskp4
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_404,c_278,c_266,c_263,c_249,c_404]) ).
tcf(c_633,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_632]) ).
tcf(c_634,plain,
! [X0: $i,X1: $i] :
( hskp6
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_419,c_278,c_266,c_263,c_249,c_419]) ).
tcf(c_635,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_634]) ).
tcf(c_641,plain,
! [X0: $i,X1: $i] :
( hskp8
| c1_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_416,c_278,c_266,c_263,c_249,c_416]) ).
tcf(c_642,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c1_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_641]) ).
tcf(c_645,plain,
! [X0: $i,X1: $i] :
( hskp5
| c1_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_414,c_278,c_266,c_263,c_249,c_414]) ).
tcf(c_646,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_645]) ).
tcf(c_647,plain,
! [X0: $i,X1: $i] :
( hskp17
| c3_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_422,c_278,c_266,c_263,c_249,c_422]) ).
tcf(c_648,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_647]) ).
tcf(c_650,plain,
! [X0: $i,X1: $i] :
( hskp6
| c2_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_421,c_278,c_266,c_263,c_249,c_421]) ).
tcf(c_651,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_650]) ).
tcf(c_652,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c1_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_420,c_278,c_266,c_263,c_249,c_420]) ).
tcf(c_654,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_424,c_278,c_266,c_263,c_249,c_424]) ).
tcf(c_655,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_654]) ).
tcf(c_656,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c1_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_423,c_278,c_266,c_263,c_249,c_423]) ).
tcf(c_657,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_656]) ).
tcf(c_658,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_425,c_278,c_266,c_263,c_249,c_425]) ).
tcf(c_659,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_658]) ).
tcf(c_660,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X2)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_426,c_278,c_266,c_263,c_249,c_426]) ).
tcf(c_661,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X2)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_660]) ).
tcf(c_662,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_429,c_278,c_266,c_263,c_249,c_429]) ).
tcf(c_663,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_662]) ).
tcf(c_664,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X1)
| c1_1(X2)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_428,c_278,c_266,c_263,c_249,c_428]) ).
tcf(c_665,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X1)
| c1_1(X2)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_664]) ).
tcf(c_666,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_427,c_278,c_266,c_263,c_249,c_427]) ).
tcf(c_667,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_666]) ).
tcf(c_668,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X1)
| c1_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_430,c_278,c_266,c_263,c_249,c_430]) ).
tcf(c_669,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X1)
| c1_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_668]) ).
tcf(c_670,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_432,c_278,c_266,c_263,c_249,c_432]) ).
tcf(c_671,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c1_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_670]) ).
tcf(c_672,plain,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X0)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_431,c_431,c_461]) ).
tcf(c_673,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c0_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_672]) ).
tcf(c_2133,plain,
( hskp19
| hskp24
| ~ c3_1(a1048) ),
inference(resolution,[status(thm)],[c_279,c_328]) ).
tcf(c_2143,plain,
( hskp19
| hskp24
| ~ c0_1(a1048) ),
inference(resolution,[status(thm)],[c_279,c_327]) ).
tcf(c_2153,plain,
( hskp19
| hskp24
| c1_1(a1048) ),
inference(resolution,[status(thm)],[c_279,c_290]) ).
tcf(c_3704,plain,
( hskp13
| hskp23
| c3_1(a1040) ),
inference(resolution,[status(thm)],[c_271,c_282]) ).
tcf(c_3724,plain,
( hskp13
| hskp23
| c0_1(a1040) ),
inference(resolution,[status(thm)],[c_271,c_280]) ).
tcf(c_15810,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_673]) ).
tcf(c_15811,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_673]) ).
tcf(c_15812,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_673]) ).
tcf(c_15813,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_673]) ).
tcf(c_15814,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_671]) ).
tcf(c_15817,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_669]) ).
tcf(c_15818,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| ~ c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_669]) ).
tcf(c_15819,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| ~ c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_669]) ).
tcf(c_15820,negated_conjecture,
( iPr_def_17
| iPr_def_16
| iPr_def_15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_669]) ).
tcf(c_15821,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| ~ c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_667]) ).
tcf(c_15822,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_667]) ).
tcf(c_15824,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_665]) ).
tcf(c_15827,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_663]) ).
tcf(c_15828,negated_conjecture,
( iPr_def_22
| iPr_def_20
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_663]) ).
tcf(c_15829,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_661]) ).
tcf(c_15830,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_661]) ).
tcf(c_15831,negated_conjecture,
( iPr_def_24
| iPr_def_23
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_661]) ).
tcf(c_15832,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_659]) ).
tcf(c_15833,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_659]) ).
tcf(c_15834,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_27
| c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_659]) ).
tcf(c_15835,negated_conjecture,
( iPr_def_27
| iPr_def_26
| iPr_def_25 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_659]) ).
tcf(c_15836,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_657]) ).
tcf(c_15837,negated_conjecture,
( iPr_def_28
| iPr_def_27
| iPr_def_19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_657]) ).
tcf(c_15838,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_655]) ).
tcf(c_15840,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_652]) ).
tcf(c_15841,negated_conjecture,
( iPr_def_30
| iPr_def_29
| iPr_def_20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_652]) ).
tcf(c_15842,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_651]) ).
tcf(c_15844,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_648]) ).
tcf(c_15845,negated_conjecture,
( iPr_def_32
| iPr_def_22
| hskp17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_648]) ).
tcf(c_15846,negated_conjecture,
( iPr_def_32
| iPr_def_25
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_646]) ).
tcf(c_15848,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_642]) ).
tcf(c_15849,negated_conjecture,
( iPr_def_33
| iPr_def_15
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_642]) ).
tcf(c_15852,negated_conjecture,
( iPr_def_18
| iPr_def_15
| hskp6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_635]) ).
tcf(c_15853,negated_conjecture,
( iPr_def_19
| iPr_def_17
| hskp4 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_633]) ).
tcf(c_15854,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_631]) ).
tcf(c_15855,negated_conjecture,
( iPr_def_34
| iPr_def_33
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_631]) ).
tcf(c_15857,negated_conjecture,
( iPr_def_23
| iPr_def_13
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_627]) ).
tcf(c_15859,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_35
| ~ c1_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_623]) ).
tcf(c_15861,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_36
| ~ c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_620]) ).
tcf(c_15862,negated_conjecture,
( iPr_def_36
| iPr_def_18
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_620]) ).
tcf(c_15866,negated_conjecture,
( iPr_def_35
| iPr_def_19
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_612]) ).
tcf(c_15867,negated_conjecture,
( iPr_def_29
| iPr_def_11
| hskp6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_610]) ).
tcf(c_15870,negated_conjecture,
( iPr_def_34
| iPr_def_26
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_604]) ).
tcf(c_15873,negated_conjecture,
( iPr_def_30
| iPr_def_17
| hskp12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_598]) ).
tcf(c_15874,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_596]) ).
tcf(c_15875,negated_conjecture,
( iPr_def_37
| iPr_def_30
| hskp17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_596]) ).
tcf(c_15877,negated_conjecture,
( iPr_def_36
| iPr_def_30
| hskp13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_589]) ).
tcf(c_15879,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_38
| c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_584]) ).
tcf(c_15880,negated_conjecture,
( iPr_def_38
| iPr_def_30
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_584]) ).
tcf(c_15882,negated_conjecture,
( iPr_def_31
| hskp3
| hskp24 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_579]) ).
tcf(c_15887,negated_conjecture,
( iPr_def_17
| hskp3
| hskp23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_564]) ).
tcf(c_15890,negated_conjecture,
( iPr_def_37
| hskp4
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_558]) ).
tcf(c_15893,negated_conjecture,
( iPr_def_34
| hskp7
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_545]) ).
tcf(c_15895,negated_conjecture,
( iPr_def_23
| hskp1
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_539]) ).
tcf(c_15924,plain,
( c3_1(a1000)
| ~ iPr_def_22
| ~ c2_1(a1000)
| ~ c0_1(a1000) ),
inference(instantiation,[status(thm)],[c_15827]) ).
tcf(c_15933,plain,
( ~ iPr_def_12
| ~ c2_1(a1019)
| ~ c3_1(a1019)
| ~ c1_1(a1019) ),
inference(instantiation,[status(thm)],[c_15812]) ).
tcf(c_15937,plain,
( c1_1(a1032)
| ~ iPr_def_15
| ~ c2_1(a1032)
| ~ c3_1(a1032) ),
inference(instantiation,[status(thm)],[c_15817]) ).
tcf(c_15939,plain,
( c1_1(a1015)
| ~ iPr_def_15
| ~ c2_1(a1015)
| ~ c3_1(a1015) ),
inference(instantiation,[status(thm)],[c_15817]) ).
tcf(c_15940,plain,
( c1_1(a1010)
| ~ iPr_def_15
| ~ c2_1(a1010)
| ~ c3_1(a1010) ),
inference(instantiation,[status(thm)],[c_15817]) ).
tcf(c_15942,plain,
( c1_1(a1001)
| ~ iPr_def_15
| ~ c2_1(a1001)
| ~ c3_1(a1001) ),
inference(instantiation,[status(thm)],[c_15817]) ).
tcf(c_15953,plain,
( c3_1(a1019)
| c0_1(a1019)
| ~ iPr_def_20
| ~ c1_1(a1019) ),
inference(instantiation,[status(thm)],[c_15824]) ).
tcf(c_15957,plain,
( c2_1(a1044)
| c3_1(a1044)
| ~ iPr_def_24
| ~ c0_1(a1044) ),
inference(instantiation,[status(thm)],[c_15830]) ).
tcf(c_15967,plain,
( c1_1(a1023)
| c0_1(a1023)
| ~ iPr_def_25
| ~ c3_1(a1023) ),
inference(instantiation,[status(thm)],[c_15832]) ).
tcf(c_15968,plain,
( c1_1(a1015)
| c0_1(a1015)
| ~ iPr_def_25
| ~ c3_1(a1015) ),
inference(instantiation,[status(thm)],[c_15832]) ).
tcf(c_15971,plain,
( c1_1(a1001)
| c0_1(a1001)
| ~ iPr_def_25
| ~ c3_1(a1001) ),
inference(instantiation,[status(thm)],[c_15832]) ).
tcf(c_15976,plain,
( c2_1(a1003)
| c0_1(a1003)
| ~ iPr_def_34
| ~ c1_1(a1003) ),
inference(instantiation,[status(thm)],[c_15854]) ).
tcf(c_15979,plain,
( c2_1(a1023)
| ~ iPr_def_17
| ~ c3_1(a1023)
| ~ c0_1(a1023) ),
inference(instantiation,[status(thm)],[c_15819]) ).
tcf(c_15981,plain,
( c2_1(a1010)
| ~ iPr_def_17
| ~ c3_1(a1010)
| ~ c0_1(a1010) ),
inference(instantiation,[status(thm)],[c_15819]) ).
tcf(c_15982,plain,
( c2_1(a1006)
| ~ iPr_def_17
| ~ c3_1(a1006)
| ~ c0_1(a1006) ),
inference(instantiation,[status(thm)],[c_15819]) ).
tcf(c_15985,plain,
( c2_1(a1044)
| c3_1(a1044)
| ~ iPr_def_35
| ~ c1_1(a1044) ),
inference(instantiation,[status(thm)],[c_15859]) ).
tcf(c_15995,plain,
( c1_1(a1002)
| ~ iPr_def_18
| ~ c2_1(a1002)
| ~ c0_1(a1002) ),
inference(instantiation,[status(thm)],[c_15821]) ).
tcf(c_15999,plain,
( c2_1(a1023)
| c0_1(a1023)
| ~ iPr_def_27
| ~ c3_1(a1023) ),
inference(instantiation,[status(thm)],[c_15834]) ).
tcf(c_16000,plain,
( c2_1(a1015)
| c0_1(a1015)
| ~ iPr_def_27
| ~ c3_1(a1015) ),
inference(instantiation,[status(thm)],[c_15834]) ).
tcf(c_16013,plain,
( c2_1(a1045)
| c0_1(a1045)
| ~ iPr_def_34
| ~ c1_1(a1045) ),
inference(instantiation,[status(thm)],[c_15854]) ).
tcf(c_16015,plain,
( ~ iPr_def_12
| ~ c2_1(a1045)
| ~ c3_1(a1045)
| ~ c1_1(a1045) ),
inference(instantiation,[status(thm)],[c_15812]) ).
tcf(c_16021,plain,
( c2_1(a1048)
| c0_1(a1048)
| ~ iPr_def_34
| ~ c1_1(a1048) ),
inference(instantiation,[status(thm)],[c_15854]) ).
tcf(c_16029,plain,
( c3_1(a1008)
| c1_1(a1008)
| ~ iPr_def_26
| ~ c2_1(a1008) ),
inference(instantiation,[status(thm)],[c_15833]) ).
tcf(c_16030,plain,
( c3_1(a1002)
| c1_1(a1002)
| ~ iPr_def_26
| ~ c2_1(a1002) ),
inference(instantiation,[status(thm)],[c_15833]) ).
tcf(c_16042,plain,
( c2_1(a1037)
| c3_1(a1037)
| c1_1(a1037)
| ~ iPr_def_30 ),
inference(instantiation,[status(thm)],[c_15840]) ).
tcf(c_16047,plain,
( c2_1(a1005)
| c3_1(a1005)
| c1_1(a1005)
| ~ iPr_def_30 ),
inference(instantiation,[status(thm)],[c_15840]) ).
tcf(c_16068,plain,
( c1_1(a1010)
| ~ iPr_def_13
| ~ c3_1(a1010)
| ~ c0_1(a1010) ),
inference(instantiation,[status(thm)],[c_15814]) ).
tcf(c_16077,plain,
( c2_1(a1023)
| c1_1(a1023)
| c0_1(a1023)
| ~ iPr_def_28 ),
inference(instantiation,[status(thm)],[c_15836]) ).
tcf(c_16107,plain,
( c0_1(a1045)
| ~ iPr_def_10
| ~ c3_1(a1045)
| ~ c1_1(a1045) ),
inference(instantiation,[status(thm)],[c_15810]) ).
tcf(c_16111,plain,
( c0_1(a1032)
| ~ iPr_def_10
| ~ c3_1(a1032)
| ~ c1_1(a1032) ),
inference(instantiation,[status(thm)],[c_15810]) ).
tcf(c_16154,plain,
( c3_1(a1004)
| ~ iPr_def_22
| ~ c2_1(a1004)
| ~ c0_1(a1004) ),
inference(instantiation,[status(thm)],[c_15827]) ).
tcf(c_16156,plain,
( hskp7
| ~ c2_1(a1004)
| ~ c1_1(a1004)
| ~ c0_1(a1004) ),
inference(instantiation,[status(thm)],[c_552]) ).
tcf(c_16167,plain,
( c3_1(a1008)
| c1_1(a1008)
| ~ iPr_def_36
| ~ c0_1(a1008) ),
inference(instantiation,[status(thm)],[c_15861]) ).
tcf(c_16169,plain,
( c3_1(a1002)
| c1_1(a1002)
| ~ iPr_def_36
| ~ c0_1(a1002) ),
inference(instantiation,[status(thm)],[c_15861]) ).
tcf(c_16173,plain,
( c0_1(a1004)
| ~ iPr_def_33
| ~ c2_1(a1004)
| ~ c1_1(a1004) ),
inference(instantiation,[status(thm)],[c_15848]) ).
tcf(c_16176,plain,
( c3_1(a1037)
| c1_1(a1037)
| c0_1(a1037)
| ~ iPr_def_38 ),
inference(instantiation,[status(thm)],[c_15879]) ).
tcf(c_16186,plain,
( ~ iPr_def_31
| ~ c2_1(a1001)
| ~ c3_1(a1001)
| ~ c0_1(a1001) ),
inference(instantiation,[status(thm)],[c_15842]) ).
tcf(c_16188,plain,
( c0_1(a1048)
| ~ iPr_def_33
| ~ c2_1(a1048)
| ~ c1_1(a1048) ),
inference(instantiation,[status(thm)],[c_15848]) ).
tcf(c_16190,plain,
( c3_1(a1048)
| c0_1(a1048)
| ~ iPr_def_23
| ~ c2_1(a1048) ),
inference(instantiation,[status(thm)],[c_15829]) ).
tcf(c_16196,plain,
( c0_1(a1019)
| ~ iPr_def_10
| ~ c3_1(a1019)
| ~ c1_1(a1019) ),
inference(instantiation,[status(thm)],[c_15810]) ).
tcf(c_16201,plain,
( c2_1(a1037)
| c3_1(a1037)
| c0_1(a1037)
| ~ iPr_def_29 ),
inference(instantiation,[status(thm)],[c_15838]) ).
tcf(c_16225,plain,
( c3_1(a1004)
| ~ iPr_def_16
| ~ c2_1(a1004)
| ~ c1_1(a1004) ),
inference(instantiation,[status(thm)],[c_15818]) ).
tcf(c_16227,plain,
( c3_1(a1048)
| ~ iPr_def_16
| ~ c2_1(a1048)
| ~ c1_1(a1048) ),
inference(instantiation,[status(thm)],[c_15818]) ).
tcf(c_16234,plain,
( c3_1(a1044)
| ~ iPr_def_37
| ~ c1_1(a1044)
| ~ c0_1(a1044) ),
inference(instantiation,[status(thm)],[c_15874]) ).
tcf(c_16275,plain,
( c3_1(a1037)
| c0_1(a1037)
| ~ iPr_def_23
| ~ c2_1(a1037) ),
inference(instantiation,[status(thm)],[c_15829]) ).
tcf(c_16278,plain,
( c3_1(a1037)
| c1_1(a1037)
| ~ iPr_def_26
| ~ c2_1(a1037) ),
inference(instantiation,[status(thm)],[c_15833]) ).
tcf(c_16280,plain,
( c1_1(a1037)
| c0_1(a1037)
| ~ iPr_def_19
| ~ c2_1(a1037) ),
inference(instantiation,[status(thm)],[c_15822]) ).
tcf(c_16308,plain,
( hskp23
| c1_1(a1010)
| ~ c3_1(a1010)
| ~ c0_1(a1010) ),
inference(instantiation,[status(thm)],[c_528]) ).
tcf(c_16327,plain,
( c1_1(a1010)
| ~ iPr_def_18
| ~ c2_1(a1010)
| ~ c0_1(a1010) ),
inference(instantiation,[status(thm)],[c_15821]) ).
tcf(c_16329,plain,
( c2_1(a1040)
| ~ iPr_def_17
| ~ c3_1(a1040)
| ~ c0_1(a1040) ),
inference(instantiation,[status(thm)],[c_15819]) ).
tcf(c_16368,plain,
( ~ iPr_def_31
| ~ c2_1(a1040)
| ~ c3_1(a1040)
| ~ c0_1(a1040) ),
inference(instantiation,[status(thm)],[c_15842]) ).
tcf(c_16374,plain,
( ~ iPr_def_31
| ~ c2_1(a1010)
| ~ c3_1(a1010)
| ~ c0_1(a1010) ),
inference(instantiation,[status(thm)],[c_15842]) ).
tcf(c_16377,plain,
( ~ iPr_def_32
| ~ c2_1(a1044)
| ~ c1_1(a1044)
| ~ c0_1(a1044) ),
inference(instantiation,[status(thm)],[c_15844]) ).
tcf(c_16548,plain,
( ~ iPr_def_12
| ~ c2_1(a1032)
| ~ c3_1(a1032)
| ~ c1_1(a1032) ),
inference(instantiation,[status(thm)],[c_15812]) ).
tcf(c_16554,plain,
( c3_1(a1008)
| c0_1(a1008)
| ~ iPr_def_23
| ~ c2_1(a1008) ),
inference(instantiation,[status(thm)],[c_15829]) ).
tcf(c_16576,plain,
( ~ iPr_def_31
| ~ c2_1(a1023)
| ~ c3_1(a1023)
| ~ c0_1(a1023) ),
inference(instantiation,[status(thm)],[c_15842]) ).
tcf(c_16580,plain,
( hskp23
| c1_1(a1023)
| ~ c3_1(a1023)
| ~ c0_1(a1023) ),
inference(instantiation,[status(thm)],[c_528]) ).
tcf(c_16620,plain,
( c3_1(a1004)
| c0_1(a1004)
| ~ iPr_def_20
| ~ c1_1(a1004) ),
inference(instantiation,[status(thm)],[c_15824]) ).
tcf(c_16646,plain,
( ~ iPr_def_31
| ~ c2_1(a1002)
| ~ c3_1(a1002)
| ~ c0_1(a1002) ),
inference(instantiation,[status(thm)],[c_15842]) ).
tcf(c_16650,plain,
( hskp23
| c1_1(a1002)
| ~ c3_1(a1002)
| ~ c0_1(a1002) ),
inference(instantiation,[status(thm)],[c_528]) ).
tcf(c_16675,plain,
( ~ iPr_def_32
| ~ c2_1(a1004)
| ~ c1_1(a1004)
| ~ c0_1(a1004) ),
inference(instantiation,[status(thm)],[c_15844]) ).
tcf(c_16685,plain,
( c3_1(a1044)
| ~ iPr_def_22
| ~ c2_1(a1044)
| ~ c0_1(a1044) ),
inference(instantiation,[status(thm)],[c_15827]) ).
tcf(c_16687,plain,
( c3_1(a1044)
| ~ iPr_def_16
| ~ c2_1(a1044)
| ~ c1_1(a1044) ),
inference(instantiation,[status(thm)],[c_15818]) ).
tcf(c_16875,plain,
( c0_1(a1045)
| ~ iPr_def_11
| ~ c2_1(a1045)
| ~ c3_1(a1045) ),
inference(instantiation,[status(thm)],[c_15811]) ).
tcf(c_16890,plain,
( c0_1(a1032)
| ~ iPr_def_11
| ~ c2_1(a1032)
| ~ c3_1(a1032) ),
inference(instantiation,[status(thm)],[c_15811]) ).
tcf(c_16997,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_16890,c_16875,c_16685,c_16687,c_16675,c_16646,c_16650,c_16620,c_16576,c_16580,c_16554,c_16548,c_16377,c_16374,c_16368,c_16329,c_16327,c_16308,c_16275,c_16278,c_16280,c_16234,c_16227,c_16225,c_16201,c_16196,c_16188,c_16190,c_16186,c_16176,c_16173,c_16169,c_16167,c_16154,c_16156,c_16111,c_16107,c_16077,c_16068,c_16047,c_16042,c_16030,c_16029,c_16021,c_16013,c_16015,c_16000,c_15999,c_15995,c_15985,c_15982,c_15981,c_15979,c_15976,c_15971,c_15968,c_15967,c_15957,c_15953,c_15942,c_15940,c_15939,c_15937,c_15933,c_15924,c_15895,c_15893,c_15890,c_15887,c_15882,c_15880,c_15877,c_15875,c_15873,c_15870,c_15867,c_15866,c_15862,c_15857,c_15855,c_15853,c_15852,c_15849,c_15846,c_15845,c_15841,c_15837,c_15835,c_15831,c_15828,c_15820,c_15813,c_3724,c_3704,c_2153,c_2143,c_2133,c_327,c_329,c_330,c_338,c_339,c_340,c_342,c_349,c_350,c_351,c_352,c_353,c_357,c_358,c_359,c_360,c_361,c_362,c_363,c_364,c_365,c_366,c_367,c_368,c_369,c_290,c_291,c_292,c_293,c_294,c_299,c_300,c_304,c_305,c_306,c_307,c_311,c_312,c_313,c_314,c_315,c_316,c_317,c_318,c_319,c_320,c_321,c_322,c_323,c_324,c_279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN475-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/10.39 % Computer : n008.cluster.edu
% 0.10/10.39 % Model : x86_64 x86_64
% 0.10/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.39 % Memory : 8046.5625MB
% 0.10/10.39 % OS : Linux 6.8.0-71-generic
% 0.10/10.39 % CPULimit : 300
% 0.10/10.39 % WCLimit : 300
% 0.10/10.39 % DateTime : Fri Sep 25 01:25:52 UTC 2026
% 0.10/10.39 % CPUTime :
% 0.10/10.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/10.43 Running EPR theorem proving
% 0.15/10.43 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/10.44
% 0.15/10.44 % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.44
% 0.15/10.44 % Detected problem language: tptp
% 0.15/10.45 % Proving...
% 4.02/11.18 % SZS status Started for theBenchmark.p
% 4.02/11.18 % SZS status Unsatisfiable for theBenchmark.p
% 4.02/11.18
% 4.02/11.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.02/11.18
% 4.02/11.18 % ------ iProver source info
% 4.02/11.18
% 4.02/11.18 % git: date: 2026-07-19 20:42:38 +0200
% 4.02/11.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.02/11.18 % git: non_committed_changes: false
% 4.02/11.18
% 4.02/11.18 % ------ Parsing...% successful
% 4.02/11.18
% 4.02/11.18
% 4.02/11.18 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.02/11.18 %
% 4.02/11.18
% 4.02/11.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.02/11.18
% 4.02/11.18 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.02/11.18 gs_s sp: 114 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.02/11.18 % ------ Proving...
% 4.02/11.18 % ------ Problem Properties
% 4.02/11.18
% 4.02/11.18 %
% 4.02/11.18 % clauses 192
% 4.02/11.18 % conjectures 192
% 4.02/11.18 % EPR 192
% 4.02/11.18 % Horn 106
% 4.02/11.18 % unary 0
% 4.02/11.18 % binary 90
% 4.02/11.18 % lits 518
% 4.02/11.18 % lits eq 0
% 4.02/11.18 % fd_pure 0
% 4.02/11.18 % fd_pseudo 0
% 4.02/11.18 % fd_cond 0
% 4.02/11.18 % fd_pseudo_cond 0
% 4.02/11.18 % AC symbols 0
% 4.02/11.18
% 4.02/11.18 % ------ Schedule EPR non Horn non eq is on
% 4.02/11.18
% 4.02/11.18 % ------ no equalities: superposition off
% 4.02/11.18
% 4.02/11.18 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.02/11.18
% 4.02/11.18
% 4.02/11.18 % ------
% 4.02/11.18 % Current options:
% 4.02/11.18 % ------
% 4.02/11.18
% 4.02/11.18
% 4.02/11.18 %
% 4.02/11.18
% 4.02/11.18 % ------ Proving...
% 4.02/11.18 %
% 4.02/11.18
% 4.02/11.18 % SZS status Unsatisfiable for theBenchmark.p
% 4.02/11.18
% 4.02/11.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.53/11.19
% 4.53/11.19
%------------------------------------------------------------------------------