%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN509-1 : 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 : n016.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 03:40:37 PM UTC 2026
% Result : Unsatisfiable 0.15s 1.79s
% Output : CNFRefutation 2.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 117
% Syntax : Number of formulae : 446 ( 2 unt; 0 def)
% Number of atoms : 2040 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2675 (1081 ~;1594 |; 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 : 54 ( 53 usr; 50 prp; 0-1 aty)
% Number of functors : 22 ( 22 usr; 22 con; 0-0 aty)
% Number of variables : 363 ( 0 sgn 363 !; 0 ?; 275 :)
% Comments :
%------------------------------------------------------------------------------
fof(f21,negated_conjecture,
( ndr1_0
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
fof(f23,negated_conjecture,
( ndr1_0
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f30,negated_conjecture,
( ndr1_0
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f31,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f32,negated_conjecture,
( hskp24
| hskp14
| hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f33,negated_conjecture,
( hskp13
| hskp19
| hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f37,negated_conjecture,
( hskp1
| hskp8
| hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f38,negated_conjecture,
( c0_1(a456)
| ~ hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f39,negated_conjecture,
( c1_1(a456)
| ~ hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f40,negated_conjecture,
( c2_1(a456)
| ~ hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f41,negated_conjecture,
( c1_1(a447)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f42,negated_conjecture,
( c2_1(a447)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( c3_1(a447)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( c0_1(a437)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( c2_1(a437)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( c3_1(a437)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( c1_1(a492)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( c2_1(a492)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( c2_1(a489)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( c3_1(a489)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( c1_1(a486)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( c2_1(a486)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( c1_1(a484)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f59,negated_conjecture,
( c0_1(a467)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( c0_1(a463)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( c2_1(a463)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( c1_1(a457)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( c3_1(a457)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( c3_1(a454)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( c0_1(a452)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( c1_1(a452)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( c2_1(a451)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( c3_1(a451)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( c1_1(a450)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( c3_1(a450)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( c2_1(a449)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( c1_1(a448)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( c2_1(a444)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( c3_1(a443)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f80,negated_conjecture,
( c1_1(a435)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( c0_1(a434)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( c3_1(a432)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f86,negated_conjecture,
( ~ hskp26
| ~ c3_1(a492) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f87,negated_conjecture,
( ~ hskp25
| ~ c0_1(a489) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( ~ hskp24
| ~ c0_1(a486) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f89,negated_conjecture,
( ~ hskp23
| ~ c2_1(a484) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f90,negated_conjecture,
( ~ hskp23
| ~ c3_1(a484) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f95,negated_conjecture,
( ~ hskp19
| ~ c1_1(a467) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f96,negated_conjecture,
( ~ hskp19
| ~ c2_1(a467) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f100,negated_conjecture,
( ~ hskp17
| ~ c1_1(a463) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ hskp16
| ~ c2_1(a457) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ hskp15
| ~ c0_1(a454) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ hskp15
| ~ c1_1(a454) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ hskp14
| ~ c2_1(a452) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ hskp13
| ~ c1_1(a451) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ hskp12
| ~ c0_1(a450) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ hskp11
| ~ c1_1(a449) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ hskp11
| ~ c3_1(a449) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ hskp10
| ~ c0_1(a448) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ hskp10
| ~ c2_1(a448) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ hskp9
| ~ c0_1(a445) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
fof(f112,negated_conjecture,
( ~ hskp9
| ~ c1_1(a445) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ hskp9
| ~ c3_1(a445) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ hskp8
| ~ c0_1(a444) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ hskp8
| ~ c3_1(a444) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ hskp7
| ~ c1_1(a443) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ hskp7
| ~ c2_1(a443) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f122,negated_conjecture,
( ~ hskp3
| ~ c0_1(a435) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ hskp3
| ~ c3_1(a435) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
( ~ hskp2
| ~ c1_1(a434) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ hskp2
| ~ c3_1(a434) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f129,negated_conjecture,
( ~ hskp0
| ~ c0_1(a432) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( ~ hskp0
| ~ c2_1(a432) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f131,negated_conjecture,
! [X0] :
( hskp10
| hskp29
| c3_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f132,negated_conjecture,
! [X0] :
( hskp0
| hskp28
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f136,negated_conjecture,
! [X0] :
( hskp2
| hskp14
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f138,negated_conjecture,
! [X0] :
( hskp16
| hskp30
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f142,negated_conjecture,
! [X0] :
( hskp11
| hskp30
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f143,negated_conjecture,
! [X0] :
( hskp7
| hskp23
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f145,negated_conjecture,
! [X0] :
( hskp0
| hskp8
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
fof(f148,negated_conjecture,
! [X0] :
( hskp16
| hskp29
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f149,negated_conjecture,
! [X0] :
( hskp26
| hskp30
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f150,negated_conjecture,
! [X0] :
( hskp12
| hskp14
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f151,negated_conjecture,
! [X0] :
( hskp19
| hskp28
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f152,negated_conjecture,
! [X0] :
( hskp8
| hskp24
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f155,negated_conjecture,
! [X0] :
( hskp0
| hskp29
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f156,negated_conjecture,
! [X0] :
( hskp15
| hskp11
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f158,negated_conjecture,
! [X0,X1] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f161,negated_conjecture,
! [X0,X1] :
( hskp3
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f163,negated_conjecture,
! [X0,X1] :
( c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f164,negated_conjecture,
! [X0,X1] :
( hskp11
| c2_1(X1)
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f166,negated_conjecture,
! [X0,X1] :
( hskp9
| c3_1(X1)
| c0_1(X1)
| c3_1(X0)
| c0_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f168,negated_conjecture,
! [X0,X1] :
( hskp28
| c2_1(X1)
| c1_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f171,negated_conjecture,
! [X0,X1] :
( hskp28
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f172,negated_conjecture,
! [X0,X1] :
( hskp14
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f174,negated_conjecture,
! [X0,X1] :
( hskp17
| c3_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f176,negated_conjecture,
! [X0,X1] :
( hskp3
| c3_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f179,negated_conjecture,
! [X0,X1] :
( hskp13
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f180,negated_conjecture,
! [X0,X1] :
( hskp16
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
fof(f181,negated_conjecture,
! [X0,X1] :
( hskp8
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f186,negated_conjecture,
! [X0,X1] :
( hskp25
| c1_1(X1)
| c3_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
fof(f187,negated_conjecture,
! [X0,X1] :
( hskp8
| c1_1(X1)
| c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).
fof(f190,negated_conjecture,
! [X0,X1] :
( hskp25
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
fof(f191,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_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',clause191) ).
fof(f192,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
fof(f193,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).
fof(f194,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c1_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).
fof(f195,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).
fof(f196,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c3_1(X0)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).
fof(f197,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| c1_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).
fof(f198,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c2_1(X1)
| c3_1(X0)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).
fof(f199,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c2_1(X0)
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).
fof(f200,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).
fof(f201,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c2_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).
fof(f202,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| ~ c2_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',clause202) ).
fof(f203,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).
fof(f204,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).
tcf(c_273,negated_conjecture,
( ndr1_0
| ~ hskp10 ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_275,negated_conjecture,
( ndr1_0
| ~ hskp8 ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_282,negated_conjecture,
( ndr1_0
| ~ hskp1 ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_283,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_284,negated_conjecture,
( hskp14
| hskp24
| hskp30 ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_285,negated_conjecture,
( hskp13
| hskp14
| hskp19 ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_289,negated_conjecture,
( hskp1
| hskp8
| hskp10 ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_290,negated_conjecture,
( c0_1(a456)
| ~ hskp30 ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_291,negated_conjecture,
( c1_1(a456)
| ~ hskp30 ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_292,negated_conjecture,
( c2_1(a456)
| ~ hskp30 ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_293,negated_conjecture,
( c1_1(a447)
| ~ hskp29 ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_294,negated_conjecture,
( c2_1(a447)
| ~ hskp29 ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_295,negated_conjecture,
( c3_1(a447)
| ~ hskp29 ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_296,negated_conjecture,
( c0_1(a437)
| ~ hskp28 ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_297,negated_conjecture,
( c2_1(a437)
| ~ hskp28 ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_298,negated_conjecture,
( c3_1(a437)
| ~ hskp28 ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_299,negated_conjecture,
( c1_1(a492)
| ~ hskp26 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_300,negated_conjecture,
( c2_1(a492)
| ~ hskp26 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_301,negated_conjecture,
( c2_1(a489)
| ~ hskp25 ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_302,negated_conjecture,
( c3_1(a489)
| ~ hskp25 ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_303,negated_conjecture,
( c1_1(a486)
| ~ hskp24 ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_304,negated_conjecture,
( c2_1(a486)
| ~ hskp24 ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_305,negated_conjecture,
( c1_1(a484)
| ~ hskp23 ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_311,negated_conjecture,
( c0_1(a467)
| ~ hskp19 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_312,negated_conjecture,
( c0_1(a463)
| ~ hskp17 ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_313,negated_conjecture,
( c2_1(a463)
| ~ hskp17 ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_314,negated_conjecture,
( c1_1(a457)
| ~ hskp16 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_315,negated_conjecture,
( c3_1(a457)
| ~ hskp16 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_316,negated_conjecture,
( c3_1(a454)
| ~ hskp15 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_317,negated_conjecture,
( c0_1(a452)
| ~ hskp14 ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_318,negated_conjecture,
( c1_1(a452)
| ~ hskp14 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_319,negated_conjecture,
( c2_1(a451)
| ~ hskp13 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_320,negated_conjecture,
( c3_1(a451)
| ~ hskp13 ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_321,negated_conjecture,
( c1_1(a450)
| ~ hskp12 ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_322,negated_conjecture,
( c3_1(a450)
| ~ hskp12 ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_323,negated_conjecture,
( c2_1(a449)
| ~ hskp11 ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_324,negated_conjecture,
( c1_1(a448)
| ~ hskp10 ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_325,negated_conjecture,
( c2_1(a444)
| ~ hskp8 ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_326,negated_conjecture,
( c3_1(a443)
| ~ hskp7 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_332,negated_conjecture,
( c1_1(a435)
| ~ hskp3 ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_333,negated_conjecture,
( c0_1(a434)
| ~ hskp2 ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_334,negated_conjecture,
( c3_1(a432)
| ~ hskp0 ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_338,negated_conjecture,
( ~ hskp26
| ~ c3_1(a492) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_339,negated_conjecture,
( ~ hskp25
| ~ c0_1(a489) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_340,negated_conjecture,
( ~ hskp24
| ~ c0_1(a486) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_341,negated_conjecture,
( ~ hskp23
| ~ c2_1(a484) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_342,negated_conjecture,
( ~ hskp23
| ~ c3_1(a484) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_347,negated_conjecture,
( ~ hskp19
| ~ c1_1(a467) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_348,negated_conjecture,
( ~ hskp19
| ~ c2_1(a467) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_352,negated_conjecture,
( ~ hskp17
| ~ c1_1(a463) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_353,negated_conjecture,
( ~ hskp16
| ~ c2_1(a457) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_354,negated_conjecture,
( ~ hskp15
| ~ c0_1(a454) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_355,negated_conjecture,
( ~ hskp15
| ~ c1_1(a454) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_356,negated_conjecture,
( ~ hskp14
| ~ c2_1(a452) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_357,negated_conjecture,
( ~ hskp13
| ~ c1_1(a451) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_358,negated_conjecture,
( ~ hskp12
| ~ c0_1(a450) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_359,negated_conjecture,
( ~ hskp11
| ~ c1_1(a449) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_360,negated_conjecture,
( ~ hskp11
| ~ c3_1(a449) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_361,negated_conjecture,
( ~ hskp10
| ~ c0_1(a448) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_362,negated_conjecture,
( ~ hskp10
| ~ c2_1(a448) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_363,negated_conjecture,
( ~ hskp9
| ~ c0_1(a445) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_364,negated_conjecture,
( ~ hskp9
| ~ c1_1(a445) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_365,negated_conjecture,
( ~ hskp9
| ~ c3_1(a445) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_366,negated_conjecture,
( ~ hskp8
| ~ c0_1(a444) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_367,negated_conjecture,
( ~ hskp8
| ~ c3_1(a444) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_368,negated_conjecture,
( ~ hskp7
| ~ c1_1(a443) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_369,negated_conjecture,
( ~ hskp7
| ~ c2_1(a443) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_374,negated_conjecture,
( ~ hskp3
| ~ c0_1(a435) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_375,negated_conjecture,
( ~ hskp3
| ~ c3_1(a435) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_376,negated_conjecture,
( ~ hskp2
| ~ c1_1(a434) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_377,negated_conjecture,
( ~ hskp2
| ~ c3_1(a434) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_381,negated_conjecture,
( ~ hskp0
| ~ c0_1(a432) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_382,negated_conjecture,
( ~ hskp0
| ~ c2_1(a432) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_383,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp29
| c3_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_384,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp28
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_388,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp14
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_390,negated_conjecture,
! [X0: $i] :
( hskp16
| hskp30
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_394,negated_conjecture,
! [X0: $i] :
( hskp11
| hskp30
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_395,negated_conjecture,
! [X0: $i] :
( hskp7
| hskp23
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_397,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp8
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_400,negated_conjecture,
! [X0: $i] :
( hskp16
| hskp29
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_401,negated_conjecture,
! [X0: $i] :
( hskp26
| hskp30
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_402,negated_conjecture,
! [X0: $i] :
( hskp12
| hskp14
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_403,negated_conjecture,
! [X0: $i] :
( hskp19
| hskp28
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_404,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp24
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_407,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp29
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_408,negated_conjecture,
! [X0: $i] :
( hskp11
| hskp15
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_410,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_413,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_415,negated_conjecture,
! [X0: $i,X1: $i] :
( c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_416,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c2_1(X1)
| c2_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_418,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_420,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp28
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_423,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp28
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_424,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_426,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c3_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_428,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_431,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_432,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c3_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_433,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_438,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp25
| c3_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_439,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c3_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_442,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp25
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_443,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_444,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_445,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_446,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_447,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c1_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_448,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_449,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_450,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c2_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_451,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_452,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c1_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_453,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_454,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_455,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_456,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_463,plain,
( hskp16
| hskp30
| c2_1(a432)
| c0_1(a432)
| ~ ndr1_0
| ~ c3_1(a432) ),
inference(instantiation,[status(thm)],[c_390]) ).
tcf(c_490,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_283,c_289,c_282,c_275,c_273]) ).
tcf(c_552,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp29
| c3_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_383,c_289,c_282,c_275,c_273,c_383]) ).
tcf(c_555,negated_conjecture,
! [X0: $i] :
( hskp7
| hskp23
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_395,c_289,c_282,c_275,c_273,c_395]) ).
tcf(c_558,negated_conjecture,
! [X0: $i] :
( hskp11
| hskp30
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_394,c_289,c_282,c_275,c_273,c_394]) ).
tcf(c_570,negated_conjecture,
! [X0: $i] :
( hskp16
| hskp30
| c2_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_390,c_289,c_282,c_275,c_273,c_390]) ).
tcf(c_576,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp14
| c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_388,c_289,c_282,c_275,c_273,c_388]) ).
tcf(c_588,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp28
| c1_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_384,c_289,c_282,c_275,c_273,c_384]) ).
tcf(c_591,plain,
! [X0: $i] :
( hskp19
| hskp28
| c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_403,c_289,c_282,c_275,c_273,c_403]) ).
tcf(c_592,negated_conjecture,
! [X0: $i] :
( hskp19
| hskp28
| c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_591]) ).
tcf(c_594,plain,
! [X0: $i] :
( hskp12
| hskp14
| c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_402,c_289,c_282,c_275,c_273,c_402]) ).
tcf(c_595,negated_conjecture,
! [X0: $i] :
( hskp12
| hskp14
| c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_594]) ).
tcf(c_597,plain,
! [X0: $i] :
( hskp26
| hskp30
| c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_401,c_289,c_282,c_275,c_273,c_401]) ).
tcf(c_598,negated_conjecture,
! [X0: $i] :
( hskp26
| hskp30
| c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_597]) ).
tcf(c_600,plain,
! [X0: $i] :
( hskp16
| hskp29
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_400,c_289,c_282,c_275,c_273,c_400]) ).
tcf(c_601,negated_conjecture,
! [X0: $i] :
( hskp16
| hskp29
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_600]) ).
tcf(c_609,plain,
! [X0: $i] :
( hskp0
| hskp8
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_397,c_289,c_282,c_275,c_273,c_397]) ).
tcf(c_610,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp8
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_609]) ).
tcf(c_618,plain,
! [X0: $i] :
( hskp11
| hskp15
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_408,c_289,c_282,c_275,c_273,c_408]) ).
tcf(c_619,negated_conjecture,
! [X0: $i] :
( hskp11
| hskp15
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_618]) ).
tcf(c_621,plain,
! [X0: $i] :
( hskp0
| hskp29
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_407,c_289,c_282,c_275,c_273,c_407]) ).
tcf(c_622,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp29
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_621]) ).
tcf(c_630,plain,
! [X0: $i] :
( hskp8
| hskp24
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_404,c_289,c_282,c_275,c_273,c_404]) ).
tcf(c_631,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp24
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_630]) ).
tcf(c_635,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_410,c_289,c_282,c_275,c_273,c_410]) ).
tcf(c_639,plain,
! [X0: $i,X1: $i] :
( hskp28
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_420,c_289,c_282,c_275,c_273,c_420]) ).
tcf(c_640,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp28
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_639]) ).
tcf(c_644,plain,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_418,c_289,c_282,c_275,c_273,c_418]) ).
tcf(c_645,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_644]) ).
tcf(c_649,plain,
! [X0: $i,X1: $i] :
( hskp11
| c2_1(X1)
| c2_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_416,c_289,c_282,c_275,c_273,c_416]) ).
tcf(c_650,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c2_1(X1)
| c2_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_649]) ).
tcf(c_655,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_413,c_289,c_282,c_275,c_273,c_413,c_428]) ).
tcf(c_663,plain,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_428,c_655]) ).
tcf(c_664,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_663]) ).
tcf(c_667,plain,
! [X0: $i,X1: $i] :
( hskp17
| c3_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_426,c_289,c_282,c_275,c_273,c_426]) ).
tcf(c_668,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c3_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_667]) ).
tcf(c_671,plain,
! [X0: $i,X1: $i] :
( hskp14
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_424,c_289,c_282,c_275,c_273,c_424]) ).
tcf(c_672,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_671]) ).
tcf(c_673,plain,
! [X0: $i,X1: $i] :
( hskp28
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_423,c_289,c_282,c_275,c_273,c_423]) ).
tcf(c_674,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp28
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_673]) ).
tcf(c_677,plain,
! [X0: $i,X1: $i] :
( hskp8
| c3_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_439,c_289,c_282,c_275,c_273,c_439]) ).
tcf(c_678,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c3_1(X0)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_677]) ).
tcf(c_679,plain,
! [X0: $i,X1: $i] :
( hskp25
| c3_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_438,c_289,c_282,c_275,c_273,c_438]) ).
tcf(c_680,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp25
| c3_1(X0)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_679]) ).
tcf(c_689,plain,
! [X0: $i,X1: $i] :
( hskp8
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_433,c_289,c_282,c_275,c_273,c_433]) ).
tcf(c_690,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_689]) ).
tcf(c_692,plain,
! [X0: $i,X1: $i] :
( hskp16
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_432,c_289,c_282,c_275,c_273,c_432]) ).
tcf(c_693,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c3_1(X1)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_692]) ).
tcf(c_694,plain,
! [X0: $i,X1: $i] :
( hskp13
| c2_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_431,c_289,c_282,c_275,c_273,c_431]) ).
tcf(c_695,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_694]) ).
tcf(c_696,plain,
! [X0: $i,X1: $i] :
( hskp25
| c2_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_442,c_289,c_282,c_275,c_273,c_442]) ).
tcf(c_697,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp25
| c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_696]) ).
tcf(c_704,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_443,c_289,c_282,c_275,c_273,c_443]) ).
tcf(c_705,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_704]) ).
tcf(c_706,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c1_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_447,c_289,c_282,c_275,c_273,c_447]) ).
tcf(c_707,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c1_1(X2)
| c0_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_706]) ).
tcf(c_708,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_446,c_446,c_490]) ).
tcf(c_709,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_708]) ).
tcf(c_710,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_445,c_289,c_282,c_275,c_273,c_445]) ).
tcf(c_711,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_710]) ).
tcf(c_712,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_444,c_289,c_282,c_275,c_273,c_444]) ).
tcf(c_713,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_712]) ).
tcf(c_714,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X2)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_451,c_289,c_282,c_275,c_273,c_415,c_451]) ).
tcf(c_715,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_714]) ).
tcf(c_717,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c2_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_450,c_289,c_282,c_275,c_273,c_450]) ).
tcf(c_718,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c2_1(X1)
| c0_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_717]) ).
tcf(c_719,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_449,c_289,c_282,c_275,c_273,c_449]) ).
tcf(c_720,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_719]) ).
tcf(c_721,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X2)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_448,c_289,c_282,c_275,c_273,c_448]) ).
tcf(c_722,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_721]) ).
tcf(c_723,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c1_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_455,c_289,c_282,c_275,c_273,c_455]) ).
tcf(c_724,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c1_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_723]) ).
tcf(c_725,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_454,c_289,c_282,c_275,c_273,c_454]) ).
tcf(c_726,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c0_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_725]) ).
tcf(c_727,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_453,c_289,c_282,c_275,c_273,c_453]) ).
tcf(c_728,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X1)
| c0_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_727]) ).
tcf(c_729,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c1_1(X2)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X2)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_452,c_289,c_282,c_275,c_273,c_452]) ).
tcf(c_730,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c1_1(X2)
| c0_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_729]) ).
tcf(c_731,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_456,c_289,c_282,c_275,c_273,c_456]) ).
tcf(c_732,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_731]) ).
tcf(c_5164,plain,
( hskp14
| hskp30
| ~ c0_1(a486) ),
inference(resolution,[status(thm)],[c_284,c_340]) ).
tcf(c_5174,plain,
( hskp14
| hskp30
| c2_1(a486) ),
inference(resolution,[status(thm)],[c_284,c_304]) ).
tcf(c_5184,plain,
( hskp14
| hskp30
| c1_1(a486) ),
inference(resolution,[status(thm)],[c_284,c_303]) ).
tcf(c_6877,plain,
( hskp14
| hskp19
| ~ c1_1(a451) ),
inference(resolution,[status(thm)],[c_285,c_357]) ).
tcf(c_6887,plain,
( hskp14
| hskp19
| c3_1(a451) ),
inference(resolution,[status(thm)],[c_285,c_320]) ).
tcf(c_6897,plain,
( hskp14
| hskp19
| c2_1(a451) ),
inference(resolution,[status(thm)],[c_285,c_319]) ).
tcf(c_17227,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_732]) ).
tcf(c_17229,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_730]) ).
tcf(c_17230,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_730]) ).
tcf(c_17231,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_730]) ).
tcf(c_17232,negated_conjecture,
( iPr_def_15
| iPr_def_14
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_730]) ).
tcf(c_17233,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_728]) ).
tcf(c_17234,negated_conjecture,
( iPr_def_16
| iPr_def_14
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_728]) ).
tcf(c_17235,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_726]) ).
tcf(c_17236,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_726]) ).
tcf(c_17237,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| ~ c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_726]) ).
tcf(c_17238,negated_conjecture,
( iPr_def_19
| iPr_def_18
| iPr_def_17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_726]) ).
tcf(c_17239,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_724]) ).
tcf(c_17240,negated_conjecture,
( iPr_def_20
| iPr_def_19
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_724]) ).
tcf(c_17241,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_722]) ).
tcf(c_17242,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_22
| ~ c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_722]) ).
tcf(c_17243,negated_conjecture,
( iPr_def_22
| iPr_def_21
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_722]) ).
tcf(c_17244,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_23
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_720]) ).
tcf(c_17245,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_720]) ).
tcf(c_17246,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_720]) ).
tcf(c_17247,negated_conjecture,
( iPr_def_25
| iPr_def_24
| iPr_def_23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_720]) ).
tcf(c_17248,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_26
| ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_718]) ).
tcf(c_17249,negated_conjecture,
( iPr_def_26
| iPr_def_19
| iPr_def_16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_718]) ).
tcf(c_17251,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_715]) ).
tcf(c_17254,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_30
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_713]) ).
tcf(c_17255,negated_conjecture,
( iPr_def_30
| iPr_def_24
| iPr_def_16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_713]) ).
tcf(c_17256,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_711]) ).
tcf(c_17257,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_711]) ).
tcf(c_17258,negated_conjecture,
( iPr_def_32
| iPr_def_31
| iPr_def_24 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_711]) ).
tcf(c_17259,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_33
| c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_709]) ).
tcf(c_17260,negated_conjecture,
( iPr_def_33
| iPr_def_23
| iPr_def_16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_709]) ).
tcf(c_17261,negated_conjecture,
( iPr_def_20
| iPr_def_19
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_707]) ).
tcf(c_17262,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_705]) ).
tcf(c_17267,negated_conjecture,
( iPr_def_26
| iPr_def_12
| hskp25 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_697]) ).
tcf(c_17268,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_695]) ).
tcf(c_17270,negated_conjecture,
( iPr_def_18
| iPr_def_17
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_693]) ).
tcf(c_17271,negated_conjecture,
( iPr_def_30
| iPr_def_23
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_690]) ).
tcf(c_17277,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_38
| ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_680]) ).
tcf(c_17279,negated_conjecture,
( iPr_def_31
| iPr_def_19
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_678]) ).
tcf(c_17281,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_39
| c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_674]) ).
tcf(c_17283,negated_conjecture,
( iPr_def_30
| iPr_def_18
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_672]) ).
tcf(c_17285,negated_conjecture,
( iPr_def_18
| iPr_def_14
| hskp17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_668]) ).
tcf(c_17291,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_41
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_664]) ).
tcf(c_17292,negated_conjecture,
( iPr_def_41
| iPr_def_14
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_664]) ).
tcf(c_17296,negated_conjecture,
( iPr_def_36
| iPr_def_28
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_650]) ).
tcf(c_17298,negated_conjecture,
( iPr_def_18
| iPr_def_16
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_645]) ).
tcf(c_17301,negated_conjecture,
( iPr_def_28
| iPr_def_20
| hskp28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_640]) ).
tcf(c_17303,negated_conjecture,
( iPr_def_34
| iPr_def_18
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_635]) ).
tcf(c_17305,negated_conjecture,
( iPr_def_12
| hskp8
| hskp24 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_631]) ).
tcf(c_17308,negated_conjecture,
( iPr_def_15
| hskp0
| hskp29 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_622]) ).
tcf(c_17309,negated_conjecture,
( iPr_def_15
| hskp11
| hskp15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_619]) ).
tcf(c_17312,negated_conjecture,
( iPr_def_30
| hskp0
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_610]) ).
tcf(c_17315,negated_conjecture,
( iPr_def_14
| hskp16
| hskp29 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_601]) ).
tcf(c_17316,negated_conjecture,
( iPr_def_26
| hskp26
| hskp30 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_598]) ).
tcf(c_17317,negated_conjecture,
( iPr_def_38
| hskp12
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_595]) ).
tcf(c_17318,negated_conjecture,
( iPr_def_22
| hskp19
| hskp28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_592]) ).
tcf(c_17319,negated_conjecture,
( iPr_def_13
| hskp0
| hskp28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_588]) ).
tcf(c_17323,negated_conjecture,
( iPr_def_36
| hskp2
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_576]) ).
tcf(c_17325,negated_conjecture,
( iPr_def_24
| hskp16
| hskp30 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_570]) ).
tcf(c_17329,negated_conjecture,
( iPr_def_33
| hskp11
| hskp30 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_558]) ).
tcf(c_17330,negated_conjecture,
( iPr_def_33
| hskp7
| hskp23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_555]) ).
tcf(c_17331,negated_conjecture,
( iPr_def_39
| hskp10
| hskp29 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_552]) ).
tcf(c_17343,plain,
( c2_1(a432)
| c0_1(a432)
| ~ iPr_def_24
| ~ c3_1(a432) ),
inference(instantiation,[status(thm)],[c_17245]) ).
tcf(c_17369,plain,
( ~ iPr_def_12
| ~ c3_1(a457)
| ~ c1_1(a457)
| ~ c0_1(a457) ),
inference(instantiation,[status(thm)],[c_17227]) ).
tcf(c_17370,plain,
( ~ iPr_def_12
| ~ c3_1(a452)
| ~ c1_1(a452)
| ~ c0_1(a452) ),
inference(instantiation,[status(thm)],[c_17227]) ).
tcf(c_17377,plain,
( c1_1(a486)
| c0_1(a486)
| ~ iPr_def_13
| ~ c2_1(a486) ),
inference(instantiation,[status(thm)],[c_17229]) ).
tcf(c_17379,plain,
( c1_1(a444)
| c0_1(a444)
| ~ iPr_def_13
| ~ c2_1(a444) ),
inference(instantiation,[status(thm)],[c_17229]) ).
tcf(c_17381,plain,
( ~ iPr_def_15
| ~ c3_1(a437)
| ~ c2_1(a437)
| ~ c0_1(a437) ),
inference(instantiation,[status(thm)],[c_17231]) ).
tcf(c_17389,plain,
( c3_1(a486)
| c0_1(a486)
| ~ iPr_def_16
| ~ c1_1(a486) ),
inference(instantiation,[status(thm)],[c_17233]) ).
tcf(c_17395,plain,
( c3_1(a435)
| c0_1(a435)
| ~ iPr_def_16
| ~ c1_1(a435) ),
inference(instantiation,[status(thm)],[c_17233]) ).
tcf(c_17399,plain,
( c3_1(a486)
| c0_1(a486)
| ~ iPr_def_18
| ~ c2_1(a486) ),
inference(instantiation,[status(thm)],[c_17236]) ).
tcf(c_17401,plain,
( c3_1(a444)
| c0_1(a444)
| ~ iPr_def_18
| ~ c2_1(a444) ),
inference(instantiation,[status(thm)],[c_17236]) ).
tcf(c_17406,plain,
( c2_1(a457)
| c0_1(a457)
| ~ iPr_def_24
| ~ c3_1(a457) ),
inference(instantiation,[status(thm)],[c_17245]) ).
tcf(c_17427,plain,
( c2_1(a467)
| c1_1(a467)
| ~ iPr_def_20
| ~ c3_1(a467) ),
inference(instantiation,[status(thm)],[c_17239]) ).
tcf(c_17428,plain,
( c2_1(a454)
| c1_1(a454)
| ~ iPr_def_20
| ~ c3_1(a454) ),
inference(instantiation,[status(thm)],[c_17239]) ).
tcf(c_17430,plain,
( c2_1(a443)
| c1_1(a443)
| ~ iPr_def_20
| ~ c3_1(a443) ),
inference(instantiation,[status(thm)],[c_17239]) ).
tcf(c_17443,plain,
( c3_1(a492)
| ~ iPr_def_22
| ~ c2_1(a492)
| ~ c1_1(a492) ),
inference(instantiation,[status(thm)],[c_17242]) ).
tcf(c_17447,plain,
( c3_1(a444)
| ~ iPr_def_22
| ~ c2_1(a444)
| ~ c1_1(a444) ),
inference(instantiation,[status(thm)],[c_17242]) ).
tcf(c_17460,plain,
( c3_1(a452)
| ~ iPr_def_19
| ~ c1_1(a452)
| ~ c0_1(a452) ),
inference(instantiation,[status(thm)],[c_17237]) ).
tcf(c_17467,plain,
( c0_1(a489)
| ~ iPr_def_30
| ~ c3_1(a489)
| ~ c2_1(a489) ),
inference(instantiation,[status(thm)],[c_17254]) ).
tcf(c_17468,plain,
( c0_1(a486)
| ~ iPr_def_30
| ~ c3_1(a486)
| ~ c2_1(a486) ),
inference(instantiation,[status(thm)],[c_17254]) ).
tcf(c_17472,plain,
( c1_1(a437)
| ~ iPr_def_31
| ~ c3_1(a437)
| ~ c2_1(a437) ),
inference(instantiation,[status(thm)],[c_17256]) ).
tcf(c_17482,plain,
( c0_1(a486)
| ~ iPr_def_23
| ~ c2_1(a486)
| ~ c1_1(a486) ),
inference(instantiation,[status(thm)],[c_17244]) ).
tcf(c_17484,plain,
( c0_1(a444)
| ~ iPr_def_23
| ~ c2_1(a444)
| ~ c1_1(a444) ),
inference(instantiation,[status(thm)],[c_17244]) ).
tcf(c_17487,plain,
( c1_1(a463)
| ~ iPr_def_25
| ~ c3_1(a463)
| ~ c0_1(a463) ),
inference(instantiation,[status(thm)],[c_17246]) ).
tcf(c_17512,plain,
( c1_1(a454)
| c0_1(a454)
| ~ iPr_def_13
| ~ c2_1(a454) ),
inference(instantiation,[status(thm)],[c_17229]) ).
tcf(c_17514,plain,
( c3_1(a456)
| ~ iPr_def_19
| ~ c1_1(a456)
| ~ c0_1(a456) ),
inference(instantiation,[status(thm)],[c_17237]) ).
tcf(c_17516,plain,
( ~ iPr_def_12
| ~ c3_1(a456)
| ~ c1_1(a456)
| ~ c0_1(a456) ),
inference(instantiation,[status(thm)],[c_17227]) ).
tcf(c_17521,plain,
( c3_1(a456)
| ~ iPr_def_22
| ~ c2_1(a456)
| ~ c1_1(a456) ),
inference(instantiation,[status(thm)],[c_17242]) ).
tcf(c_17523,plain,
( ~ iPr_def_15
| ~ c3_1(a456)
| ~ c2_1(a456)
| ~ c0_1(a456) ),
inference(instantiation,[status(thm)],[c_17231]) ).
tcf(c_17540,plain,
( c1_1(a451)
| ~ iPr_def_31
| ~ c3_1(a451)
| ~ c2_1(a451) ),
inference(instantiation,[status(thm)],[c_17256]) ).
tcf(c_17547,plain,
( ~ iPr_def_17
| ~ c3_1(a456)
| ~ c2_1(a456)
| ~ c1_1(a456) ),
inference(instantiation,[status(thm)],[c_17235]) ).
tcf(c_17550,plain,
( ~ iPr_def_17
| ~ c3_1(a486)
| ~ c2_1(a486)
| ~ c1_1(a486) ),
inference(instantiation,[status(thm)],[c_17235]) ).
tcf(c_17558,plain,
( c3_1(a484)
| c0_1(a484)
| ~ iPr_def_16
| ~ c1_1(a484) ),
inference(instantiation,[status(thm)],[c_17233]) ).
tcf(c_17562,plain,
( c3_1(a444)
| c0_1(a444)
| ~ iPr_def_16
| ~ c1_1(a444) ),
inference(instantiation,[status(thm)],[c_17233]) ).
tcf(c_17589,plain,
( c3_1(a445)
| c2_1(a445)
| c0_1(a445)
| ~ iPr_def_39 ),
inference(instantiation,[status(thm)],[c_17281]) ).
tcf(c_17607,plain,
( c3_1(a452)
| c2_1(a452)
| ~ iPr_def_32
| ~ c0_1(a452) ),
inference(instantiation,[status(thm)],[c_17257]) ).
tcf(c_17614,plain,
( c2_1(a484)
| ~ iPr_def_14
| ~ c1_1(a484)
| ~ c0_1(a484) ),
inference(instantiation,[status(thm)],[c_17230]) ).
tcf(c_17616,plain,
( c2_1(a457)
| ~ iPr_def_14
| ~ c1_1(a457)
| ~ c0_1(a457) ),
inference(instantiation,[status(thm)],[c_17230]) ).
tcf(c_17627,plain,
( c1_1(a437)
| ~ iPr_def_25
| ~ c3_1(a437)
| ~ c0_1(a437) ),
inference(instantiation,[status(thm)],[c_17246]) ).
tcf(c_17628,plain,
( ~ iPr_def_12
| ~ c3_1(a437)
| ~ c1_1(a437)
| ~ c0_1(a437) ),
inference(instantiation,[status(thm)],[c_17227]) ).
tcf(c_17648,plain,
( ~ iPr_def_17
| ~ c3_1(a447)
| ~ c2_1(a447)
| ~ c1_1(a447) ),
inference(instantiation,[status(thm)],[c_17235]) ).
tcf(c_17653,plain,
( ~ iPr_def_17
| ~ c3_1(a450)
| ~ c2_1(a450)
| ~ c1_1(a450) ),
inference(instantiation,[status(thm)],[c_17235]) ).
tcf(c_17655,plain,
( c0_1(a447)
| ~ iPr_def_23
| ~ c2_1(a447)
| ~ c1_1(a447) ),
inference(instantiation,[status(thm)],[c_17244]) ).
tcf(c_17660,plain,
( c0_1(a450)
| ~ iPr_def_23
| ~ c2_1(a450)
| ~ c1_1(a450) ),
inference(instantiation,[status(thm)],[c_17244]) ).
tcf(c_17661,plain,
( c0_1(a447)
| ~ iPr_def_30
| ~ c3_1(a447)
| ~ c2_1(a447) ),
inference(instantiation,[status(thm)],[c_17254]) ).
tcf(c_17666,plain,
( c0_1(a450)
| ~ iPr_def_30
| ~ c3_1(a450)
| ~ c2_1(a450) ),
inference(instantiation,[status(thm)],[c_17254]) ).
tcf(c_17668,plain,
( c3_1(a456)
| ~ iPr_def_38
| ~ c2_1(a456)
| ~ c0_1(a456) ),
inference(instantiation,[status(thm)],[c_17277]) ).
tcf(c_17685,plain,
( c0_1(a450)
| ~ iPr_def_21
| ~ c3_1(a450)
| ~ c1_1(a450) ),
inference(instantiation,[status(thm)],[c_17241]) ).
tcf(c_17763,plain,
( c2_1(a452)
| ~ iPr_def_14
| ~ c1_1(a452)
| ~ c0_1(a452) ),
inference(instantiation,[status(thm)],[c_17230]) ).
tcf(c_17784,plain,
( c2_1(a457)
| ~ iPr_def_26
| ~ c3_1(a457)
| ~ c1_1(a457) ),
inference(instantiation,[status(thm)],[c_17248]) ).
tcf(c_17791,plain,
( c2_1(a467)
| c1_1(a467)
| ~ iPr_def_28
| ~ c0_1(a467) ),
inference(instantiation,[status(thm)],[c_17251]) ).
tcf(c_17796,plain,
( c2_1(a434)
| c1_1(a434)
| ~ iPr_def_28
| ~ c0_1(a434) ),
inference(instantiation,[status(thm)],[c_17251]) ).
tcf(c_17799,plain,
( c3_1(a463)
| c1_1(a463)
| ~ iPr_def_33
| ~ c2_1(a463) ),
inference(instantiation,[status(thm)],[c_17259]) ).
tcf(c_17801,plain,
( c3_1(a445)
| c1_1(a445)
| ~ iPr_def_33
| ~ c2_1(a445) ),
inference(instantiation,[status(thm)],[c_17259]) ).
tcf(c_17812,plain,
( c2_1(a457)
| c0_1(a457)
| ~ iPr_def_36
| ~ c1_1(a457) ),
inference(instantiation,[status(thm)],[c_17268]) ).
tcf(c_17814,plain,
( c2_1(a448)
| c0_1(a448)
| ~ iPr_def_36
| ~ c1_1(a448) ),
inference(instantiation,[status(thm)],[c_17268]) ).
tcf(c_18220,plain,
( ~ iPr_def_12
| ~ c3_1(a447)
| ~ c1_1(a447)
| ~ c0_1(a447) ),
inference(instantiation,[status(thm)],[c_17227]) ).
tcf(c_18227,plain,
( c3_1(a467)
| c1_1(a467)
| ~ iPr_def_41 ),
inference(instantiation,[status(thm)],[c_17291]) ).
tcf(c_18255,plain,
( c2_1(a450)
| ~ iPr_def_26
| ~ c3_1(a450)
| ~ c1_1(a450) ),
inference(instantiation,[status(thm)],[c_17248]) ).
tcf(c_18339,plain,
( c3_1(a444)
| c1_1(a444)
| ~ iPr_def_33
| ~ c2_1(a444) ),
inference(instantiation,[status(thm)],[c_17259]) ).
tcf(c_18361,plain,
( c2_1(a450)
| c0_1(a450)
| ~ iPr_def_36
| ~ c1_1(a450) ),
inference(instantiation,[status(thm)],[c_17268]) ).
tcf(c_18369,plain,
( c2_1(a445)
| c1_1(a445)
| c0_1(a445)
| ~ iPr_def_34 ),
inference(instantiation,[status(thm)],[c_17262]) ).
tcf(c_18406,plain,
( c3_1(a449)
| c1_1(a449)
| ~ iPr_def_41 ),
inference(instantiation,[status(thm)],[c_17291]) ).
tcf(c_18407,plain,
( c3_1(a449)
| c1_1(a449)
| ~ iPr_def_33
| ~ c2_1(a449) ),
inference(instantiation,[status(thm)],[c_17259]) ).
tcf(c_18412,plain,
( c3_1(a434)
| c1_1(a434)
| ~ iPr_def_33
| ~ c2_1(a434) ),
inference(instantiation,[status(thm)],[c_17259]) ).
tcf(c_18422,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_18412,c_18406,c_18407,c_18369,c_18361,c_18339,c_18255,c_18227,c_18220,c_17814,c_17812,c_17801,c_17799,c_17796,c_17791,c_17784,c_17763,c_17685,c_17668,c_17666,c_17661,c_17660,c_17655,c_17653,c_17648,c_17627,c_17628,c_17616,c_17614,c_17607,c_17589,c_17562,c_17558,c_17550,c_17547,c_17540,c_17521,c_17523,c_17514,c_17516,c_17512,c_17487,c_17484,c_17482,c_17472,c_17468,c_17467,c_17460,c_17447,c_17443,c_17430,c_17428,c_17427,c_17406,c_17401,c_17399,c_17395,c_17389,c_17381,c_17379,c_17377,c_17370,c_17369,c_17343,c_17331,c_17330,c_17329,c_17325,c_17323,c_17319,c_17318,c_17317,c_17316,c_17315,c_17312,c_17309,c_17308,c_17305,c_17303,c_17301,c_17298,c_17296,c_17292,c_17285,c_17283,c_17279,c_17271,c_17270,c_17267,c_17261,c_17260,c_17258,c_17255,c_17249,c_17247,c_17243,c_17240,c_17238,c_17234,c_17232,c_6897,c_6887,c_6877,c_5184,c_5174,c_5164,c_490,c_463,c_338,c_339,c_340,c_341,c_342,c_347,c_348,c_352,c_353,c_354,c_355,c_356,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_374,c_375,c_376,c_377,c_381,c_382,c_290,c_291,c_292,c_293,c_294,c_295,c_296,c_297,c_298,c_299,c_300,c_301,c_302,c_303,c_304,c_305,c_311,c_312,c_313,c_314,c_315,c_316,c_317,c_318,c_321,c_322,c_323,c_324,c_325,c_326,c_332,c_333,c_334]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN509-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.99 % Computer : n016.cluster.edu
% 0.10/0.99 % Model : x86_64 x86_64
% 0.10/0.99 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.99 % Memory : 8046.5625MB
% 0.10/0.99 % OS : Linux 6.8.0-71-generic
% 0.10/0.99 % CPULimit : 300
% 0.10/0.99 % WCLimit : 300
% 0.10/0.99 % DateTime : Fri Sep 25 01:42:14 UTC 2026
% 0.10/1.00 % CPUTime :
% 0.10/1.00 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/1.03 Running EPR theorem proving
% 0.10/1.03 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
% 0.15/1.04
% 0.15/1.04 % ======== iProver multi-core TPTP/SMT =========
% 0.15/1.04
% 0.15/1.04 % Detected problem language: tptp
% 0.15/1.05 % Proving...
% 0.15/1.79 % SZS status Started for theBenchmark.p
% 0.15/1.79 % SZS status Unsatisfiable for theBenchmark.p
% 0.15/1.79
% 0.15/1.79 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.15/1.79
% 0.15/1.79 % ------ iProver source info
% 0.15/1.79
% 0.15/1.79 % git: date: 2026-07-19 20:42:38 +0200
% 0.15/1.79 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.15/1.79 % git: non_committed_changes: false
% 0.15/1.79
% 0.15/1.79 % ------ Parsing...% successful
% 0.15/1.79
% 0.15/1.79
% 0.15/1.79 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.15/1.79 %
% 0.15/1.79
% 0.15/1.79 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.15/1.79
% 0.15/1.79 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.15/1.79 gs_s sp: 133 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.15/1.79 % ------ Proving...
% 0.15/1.79 % ------ Problem Properties
% 0.15/1.79
% 0.15/1.79 %
% 0.15/1.79 % clauses 206
% 0.15/1.79 % conjectures 206
% 0.15/1.79 % EPR 206
% 0.15/1.79 % Horn 110
% 0.15/1.79 % unary 0
% 0.15/1.79 % binary 94
% 0.15/1.79 % lits 556
% 0.15/1.79 % lits eq 0
% 0.15/1.79 % fd_pure 0
% 0.15/1.79 % fd_pseudo 0
% 0.15/1.79 % fd_cond 0
% 0.15/1.79 % fd_pseudo_cond 0
% 0.15/1.79 % AC symbols 0
% 0.15/1.79
% 0.15/1.79 % ------ Schedule EPR non Horn non eq is on
% 0.15/1.79
% 0.15/1.79 % ------ no equalities: superposition off
% 0.15/1.79
% 0.15/1.79 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.15/1.79
% 0.15/1.79
% 0.15/1.79 % ------
% 0.15/1.79 % Current options:
% 0.15/1.79 % ------
% 0.15/1.79
% 0.15/1.79
% 0.15/1.79 %
% 0.15/1.79
% 0.15/1.79 % ------ Proving...
% 0.15/1.79 %
% 0.15/1.79
% 0.15/1.79 % SZS status Unsatisfiable for theBenchmark.p
% 0.15/1.79
% 0.15/1.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.15/1.80
% 2.15/1.80
%------------------------------------------------------------------------------