%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN504-1 : 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 : n011.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 03:40:35 PM UTC 2026
% Result : Unsatisfiable 7.20s 1.71s
% Output : CNFRefutation 7.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 111
% Syntax : Number of formulae : 459 ( 2 unt; 0 def)
% Number of atoms : 2065 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2667 (1061 ~;1606 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 57 ( 56 usr; 53 prp; 0-1 aty)
% Number of functors : 21 ( 21 usr; 21 con; 0-0 aty)
% Number of variables : 356 ( 0 sgn 356 !; 0 ?; 273 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( hskp6
| hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f27,negated_conjecture,
( ndr1_0
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f29,negated_conjecture,
( ndr1_0
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f33,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f35,negated_conjecture,
( hskp11
| hskp1
| hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f39,negated_conjecture,
( hskp6
| hskp18
| hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f41,negated_conjecture,
( c0_1(a410)
| ~ hskp31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f42,negated_conjecture,
( c2_1(a410)
| ~ hskp31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( c3_1(a410)
| ~ hskp31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( c0_1(a373)
| ~ hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( c1_1(a373)
| ~ hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( c3_1(a373)
| ~ hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f50,negated_conjecture,
( c1_1(a365)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( c2_1(a365)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( c3_1(a365)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f55,negated_conjecture,
( c0_1(a418)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f58,negated_conjecture,
( c1_1(a398)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( c3_1(a398)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f62,negated_conjecture,
( c1_1(a395)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( c1_1(a388)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( c3_1(a382)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( c0_1(a380)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( c1_1(a380)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( c2_1(a379)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f69,negated_conjecture,
( c3_1(a375)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( c0_1(a370)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( c2_1(a370)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f74,negated_conjecture,
( c2_1(a368)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( c3_1(a368)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f80,negated_conjecture,
( c2_1(a358)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( c1_1(a357)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( c3_1(a357)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( c0_1(a356)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( c2_1(a356)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( c0_1(a355)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( c3_1(a355)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f87,negated_conjecture,
( c0_1(a353)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( c1_1(a353)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f90,negated_conjecture,
( ~ hskp26
| ~ c2_1(a418) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f91,negated_conjecture,
( ~ hskp26
| ~ c3_1(a418) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f96,negated_conjecture,
( ~ hskp23
| ~ c2_1(a398) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f98,negated_conjecture,
( ~ hskp21
| ~ c0_1(a395) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ hskp21
| ~ c2_1(a395) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ hskp20
| ~ c2_1(a388) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ hskp20
| ~ c3_1(a388) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ hskp19
| ~ c0_1(a387) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ hskp19
| ~ c1_1(a387) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ hskp19
| ~ c2_1(a387) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ hskp18
| ~ c0_1(a382) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ hskp18
| ~ c2_1(a382) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ hskp17
| ~ c3_1(a380) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ hskp16
| ~ c1_1(a379) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ hskp16
| ~ c3_1(a379) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f112,negated_conjecture,
( ~ hskp14
| ~ c0_1(a375) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ hskp14
| ~ c1_1(a375) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ hskp13
| ~ c3_1(a370) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f116,negated_conjecture,
( ~ hskp11
| ~ c1_1(a368) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f125,negated_conjecture,
( ~ hskp6
| ~ c1_1(a360) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ hskp6
| ~ c2_1(a360) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ hskp6
| ~ c3_1(a360) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ hskp5
| ~ c0_1(a359) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f129,negated_conjecture,
( ~ hskp5
| ~ c1_1(a359) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( ~ hskp5
| ~ c3_1(a359) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f131,negated_conjecture,
( ~ hskp4
| ~ c0_1(a358) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f132,negated_conjecture,
( ~ hskp4
| ~ c3_1(a358) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f133,negated_conjecture,
( ~ hskp3
| ~ c0_1(a357) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f134,negated_conjecture,
( ~ hskp2
| ~ c1_1(a356) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f135,negated_conjecture,
( ~ hskp1
| ~ c1_1(a355) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f136,negated_conjecture,
( ~ hskp0
| ~ c2_1(a353) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f137,negated_conjecture,
! [X0] :
( hskp4
| hskp3
| c2_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f138,negated_conjecture,
! [X0] :
( hskp6
| hskp5
| c2_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f139,negated_conjecture,
! [X0] :
( hskp17
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f140,negated_conjecture,
! [X0] :
( hskp26
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f143,negated_conjecture,
! [X0] :
( hskp14
| hskp1
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f145,negated_conjecture,
! [X0] :
( hskp19
| hskp28
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
fof(f146,negated_conjecture,
! [X0] :
( hskp0
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f150,negated_conjecture,
! [X0] :
( hskp19
| hskp3
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f155,negated_conjecture,
! [X0] :
( hskp23
| hskp30
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f157,negated_conjecture,
! [X0] :
( hskp19
| hskp2
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
fof(f160,negated_conjecture,
! [X0] :
( hskp11
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f164,negated_conjecture,
! [X0] :
( hskp18
| hskp31
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f166,negated_conjecture,
! [X0,X1] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f167,negated_conjecture,
! [X0,X1] :
( hskp1
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f171,negated_conjecture,
! [X0,X1] :
( hskp10
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c0_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f174,negated_conjecture,
! [X0,X1] :
( hskp3
| c3_1(X1)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f175,negated_conjecture,
! [X0,X1] :
( hskp20
| c0_1(X0)
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f176,negated_conjecture,
! [X0,X1] :
( hskp2
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f179,negated_conjecture,
! [X0,X1] :
( hskp13
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f182,negated_conjecture,
! [X0,X1] :
( hskp28
| c3_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f184,negated_conjecture,
! [X0,X1] :
( hskp23
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
fof(f185,negated_conjecture,
! [X0,X1] :
( hskp16
| c3_1(X1)
| c1_1(X1)
| c3_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
fof(f186,negated_conjecture,
! [X0,X1] :
( hskp31
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
fof(f187,negated_conjecture,
! [X0,X1] :
( hskp31
| c3_1(X1)
| c2_1(X1)
| c3_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).
fof(f190,negated_conjecture,
! [X0,X1] :
( hskp4
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
fof(f191,negated_conjecture,
! [X0,X1] :
( hskp16
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
fof(f193,negated_conjecture,
! [X0,X1] :
( hskp28
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).
fof(f194,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).
fof(f195,negated_conjecture,
! [X0,X1] :
( hskp17
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).
fof(f196,negated_conjecture,
! [X0,X1] :
( hskp16
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).
fof(f197,negated_conjecture,
! [X0,X1] :
( hskp16
| c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).
fof(f198,negated_conjecture,
! [X0,X1] :
( hskp6
| c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).
fof(f199,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).
fof(f200,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).
fof(f201,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).
fof(f202,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| c2_1(X0)
| ~ c1_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).
fof(f203,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_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)
| c1_1(X1)
| c3_1(X0)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).
fof(f205,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause205) ).
fof(f206,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause206) ).
fof(f207,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| ~ c3_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',clause207) ).
fof(f208,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| ~ c2_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',clause208) ).
tcf(c_257,negated_conjecture,
( hskp6
| hskp4 ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_283,negated_conjecture,
( ndr1_0
| ~ hskp6 ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_285,negated_conjecture,
( ndr1_0
| ~ hskp4 ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_289,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_291,negated_conjecture,
( hskp1
| hskp11
| hskp17 ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_295,negated_conjecture,
( hskp18
| hskp21
| hskp6 ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_297,negated_conjecture,
( c0_1(a410)
| ~ hskp31 ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_298,negated_conjecture,
( c2_1(a410)
| ~ hskp31 ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_299,negated_conjecture,
( c3_1(a410)
| ~ hskp31 ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_300,negated_conjecture,
( c0_1(a373)
| ~ hskp30 ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_301,negated_conjecture,
( c1_1(a373)
| ~ hskp30 ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_302,negated_conjecture,
( c3_1(a373)
| ~ hskp30 ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_306,negated_conjecture,
( c1_1(a365)
| ~ hskp28 ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_307,negated_conjecture,
( c2_1(a365)
| ~ hskp28 ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_308,negated_conjecture,
( c3_1(a365)
| ~ hskp28 ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_311,negated_conjecture,
( c0_1(a418)
| ~ hskp26 ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_314,negated_conjecture,
( c1_1(a398)
| ~ hskp23 ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_315,negated_conjecture,
( c3_1(a398)
| ~ hskp23 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_318,negated_conjecture,
( c1_1(a395)
| ~ hskp21 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_319,negated_conjecture,
( c1_1(a388)
| ~ hskp20 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_320,negated_conjecture,
( c3_1(a382)
| ~ hskp18 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_321,negated_conjecture,
( c0_1(a380)
| ~ hskp17 ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_322,negated_conjecture,
( c1_1(a380)
| ~ hskp17 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_323,negated_conjecture,
( c2_1(a379)
| ~ hskp16 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_325,negated_conjecture,
( c3_1(a375)
| ~ hskp14 ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_326,negated_conjecture,
( c0_1(a370)
| ~ hskp13 ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_327,negated_conjecture,
( c2_1(a370)
| ~ hskp13 ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_330,negated_conjecture,
( c2_1(a368)
| ~ hskp11 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_331,negated_conjecture,
( c3_1(a368)
| ~ hskp11 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_336,negated_conjecture,
( c2_1(a358)
| ~ hskp4 ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_337,negated_conjecture,
( c1_1(a357)
| ~ hskp3 ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_338,negated_conjecture,
( c3_1(a357)
| ~ hskp3 ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_339,negated_conjecture,
( c0_1(a356)
| ~ hskp2 ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_340,negated_conjecture,
( c2_1(a356)
| ~ hskp2 ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_341,negated_conjecture,
( c0_1(a355)
| ~ hskp1 ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_342,negated_conjecture,
( c3_1(a355)
| ~ hskp1 ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_343,negated_conjecture,
( c0_1(a353)
| ~ hskp0 ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_344,negated_conjecture,
( c1_1(a353)
| ~ hskp0 ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_346,negated_conjecture,
( ~ hskp26
| ~ c2_1(a418) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_347,negated_conjecture,
( ~ hskp26
| ~ c3_1(a418) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_352,negated_conjecture,
( ~ hskp23
| ~ c2_1(a398) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_354,negated_conjecture,
( ~ hskp21
| ~ c0_1(a395) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_355,negated_conjecture,
( ~ hskp21
| ~ c2_1(a395) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_356,negated_conjecture,
( ~ hskp20
| ~ c2_1(a388) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_357,negated_conjecture,
( ~ hskp20
| ~ c3_1(a388) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_358,negated_conjecture,
( ~ hskp19
| ~ c0_1(a387) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_359,negated_conjecture,
( ~ hskp19
| ~ c1_1(a387) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_360,negated_conjecture,
( ~ hskp19
| ~ c2_1(a387) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_361,negated_conjecture,
( ~ hskp18
| ~ c0_1(a382) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_362,negated_conjecture,
( ~ hskp18
| ~ c2_1(a382) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_363,negated_conjecture,
( ~ hskp17
| ~ c3_1(a380) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_364,negated_conjecture,
( ~ hskp16
| ~ c1_1(a379) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_365,negated_conjecture,
( ~ hskp16
| ~ c3_1(a379) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_368,negated_conjecture,
( ~ hskp14
| ~ c0_1(a375) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_369,negated_conjecture,
( ~ hskp14
| ~ c1_1(a375) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_370,negated_conjecture,
( ~ hskp13
| ~ c3_1(a370) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_372,negated_conjecture,
( ~ hskp11
| ~ c1_1(a368) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_381,negated_conjecture,
( ~ hskp6
| ~ c1_1(a360) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_382,negated_conjecture,
( ~ hskp6
| ~ c2_1(a360) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_383,negated_conjecture,
( ~ hskp6
| ~ c3_1(a360) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_384,negated_conjecture,
( ~ hskp5
| ~ c0_1(a359) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_385,negated_conjecture,
( ~ hskp5
| ~ c1_1(a359) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_386,negated_conjecture,
( ~ hskp5
| ~ c3_1(a359) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_387,negated_conjecture,
( ~ hskp4
| ~ c0_1(a358) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_388,negated_conjecture,
( ~ hskp4
| ~ c3_1(a358) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_389,negated_conjecture,
( ~ hskp3
| ~ c0_1(a357) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_390,negated_conjecture,
( ~ hskp2
| ~ c1_1(a356) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_391,negated_conjecture,
( ~ hskp1
| ~ c1_1(a355) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_392,negated_conjecture,
( ~ hskp0
| ~ c2_1(a353) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_393,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp4
| c1_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_394,negated_conjecture,
! [X0: $i] :
( hskp5
| hskp6
| c1_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_395,negated_conjecture,
! [X0: $i] :
( hskp17
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_396,negated_conjecture,
! [X0: $i] :
( hskp26
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_399,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp14
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_401,negated_conjecture,
! [X0: $i] :
( hskp19
| hskp28
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_402,negated_conjecture,
! [X0: $i] :
( hskp0
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_406,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp19
| c1_1(X0)
| c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_411,negated_conjecture,
! [X0: $i] :
( hskp23
| hskp30
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_413,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp19
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_416,negated_conjecture,
! [X0: $i] :
( hskp11
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_420,negated_conjecture,
! [X0: $i] :
( hskp18
| hskp31
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_422,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_423,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c1_1(X1)
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_427,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c1_1(X1)
| c3_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_430,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c1_1(X0)
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_431,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp20
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_432,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_435,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_438,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp28
| c1_1(X0)
| c3_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_440,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp23
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_441,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c1_1(X0)
| c3_1(X1)
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_442,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp31
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_443,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp31
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_446,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_447,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_449,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp28
| c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_450,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c3_1(X1)
| c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_451,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_452,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_453,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_454,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_455,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_456,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X2)
| c3_1(X1)
| c2_1(X2)
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_457,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X0)
| c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_458,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_459,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c3_1(X0)
| c2_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_460,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X2)
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_461,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_462,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_463,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_464,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_501,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_289,c_257,c_285,c_283]) ).
tcf(c_565,negated_conjecture,
! [X0: $i] :
( hskp26
| c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_396,c_257,c_285,c_283,c_396]) ).
tcf(c_568,negated_conjecture,
! [X0: $i] :
( hskp17
| c2_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_395,c_257,c_285,c_283,c_395]) ).
tcf(c_571,negated_conjecture,
! [X0: $i] :
( hskp5
| hskp6
| c1_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_394,c_257,c_285,c_283,c_394]) ).
tcf(c_574,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp4
| c1_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_393,c_257,c_285,c_283,c_393]) ).
tcf(c_580,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp19
| c1_1(X0)
| c3_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_406,c_257,c_285,c_283,c_406]) ).
tcf(c_592,plain,
! [X0: $i] :
( hskp0
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_402,c_257,c_285,c_283,c_402]) ).
tcf(c_593,negated_conjecture,
! [X0: $i] :
( hskp0
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_592]) ).
tcf(c_595,negated_conjecture,
! [X0: $i] :
( hskp19
| hskp28
| c3_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_401,c_257,c_285,c_283,c_401]) ).
tcf(c_601,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp14
| c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_399,c_257,c_285,c_283,c_399]) ).
tcf(c_610,plain,
! [X0: $i] :
( hskp11
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_416,c_257,c_285,c_283,c_416]) ).
tcf(c_611,negated_conjecture,
! [X0: $i] :
( hskp11
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_610]) ).
tcf(c_619,plain,
! [X0: $i] :
( hskp2
| hskp19
| c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_413,c_257,c_285,c_283,c_413]) ).
tcf(c_620,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp19
| c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_619]) ).
tcf(c_625,plain,
! [X0: $i] :
( hskp23
| hskp30
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_411,c_257,c_285,c_283,c_411]) ).
tcf(c_626,negated_conjecture,
! [X0: $i] :
( hskp23
| hskp30
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_625]) ).
tcf(c_640,plain,
! [X0: $i] :
( hskp18
| hskp31
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_420,c_257,c_285,c_283,c_420]) ).
tcf(c_641,negated_conjecture,
! [X0: $i] :
( hskp18
| hskp31
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_640]) ).
tcf(c_657,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c1_1(X1)
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_423,c_257,c_285,c_283,c_423]) ).
tcf(c_659,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_422,c_257,c_285,c_283,c_422]) ).
tcf(c_662,plain,
! [X0: $i,X1: $i] :
( hskp20
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_431,c_257,c_285,c_283,c_431]) ).
tcf(c_663,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp20
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_662]) ).
tcf(c_664,plain,
! [X0: $i,X1: $i] :
( hskp3
| c1_1(X0)
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_430,c_257,c_285,c_283,c_430]) ).
tcf(c_665,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c1_1(X0)
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_664]) ).
tcf(c_671,plain,
! [X0: $i,X1: $i] :
( hskp10
| c1_1(X1)
| c3_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_427,c_257,c_285,c_283,c_427]) ).
tcf(c_672,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c1_1(X1)
| c3_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_671]) ).
tcf(c_675,plain,
! [X0: $i,X1: $i] :
( hskp31
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_443,c_257,c_285,c_283,c_443]) ).
tcf(c_676,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp31
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_675]) ).
tcf(c_677,plain,
! [X0: $i,X1: $i] :
( hskp31
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_442,c_257,c_285,c_283,c_442]) ).
tcf(c_678,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp31
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_677]) ).
tcf(c_679,plain,
! [X0: $i,X1: $i] :
( hskp16
| c1_1(X0)
| c3_1(X1)
| c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_441,c_257,c_285,c_283,c_441]) ).
tcf(c_680,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c1_1(X0)
| c3_1(X1)
| c3_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_679]) ).
tcf(c_681,plain,
! [X0: $i,X1: $i] :
( hskp23
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_440,c_257,c_285,c_283,c_440]) ).
tcf(c_682,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp23
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_681]) ).
tcf(c_686,plain,
! [X0: $i,X1: $i] :
( hskp28
| c1_1(X0)
| c3_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_438,c_257,c_285,c_283,c_438]) ).
tcf(c_687,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp28
| c1_1(X0)
| c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_686]) ).
tcf(c_692,plain,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_435,c_257,c_285,c_283,c_435]) ).
tcf(c_693,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_692]) ).
tcf(c_699,plain,
! [X0: $i,X1: $i] :
( hskp2
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_432,c_257,c_285,c_283,c_432]) ).
tcf(c_700,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c1_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_699]) ).
tcf(c_701,plain,
! [X0: $i,X1: $i] :
( hskp28
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_449,c_257,c_285,c_283,c_449]) ).
tcf(c_702,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp28
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_701]) ).
tcf(c_705,plain,
! [X0: $i,X1: $i] :
( hskp16
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_447,c_257,c_285,c_283,c_447,c_452]) ).
tcf(c_706,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_705]) ).
tcf(c_708,plain,
! [X0: $i,X1: $i] :
( hskp4
| c2_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_446,c_257,c_285,c_283,c_446]) ).
tcf(c_709,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_708]) ).
tcf(c_714,plain,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_454,c_257,c_285,c_283,c_454]) ).
tcf(c_715,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_714]) ).
tcf(c_716,plain,
! [X0: $i,X1: $i] :
( hskp16
| c3_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_453,c_257,c_285,c_283,c_453]) ).
tcf(c_717,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_716]) ).
tcf(c_718,plain,
! [X0: $i,X1: $i] :
( hskp16
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_452,c_706]) ).
tcf(c_719,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_718]) ).
tcf(c_720,plain,
! [X0: $i,X1: $i] :
( hskp17
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_451,c_257,c_285,c_283,c_451]) ).
tcf(c_721,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c0_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_720]) ).
tcf(c_723,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c3_1(X1)
| c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_450,c_257,c_285,c_283,c_450]) ).
tcf(c_725,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X0)
| c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_457,c_257,c_285,c_283,c_457]) ).
tcf(c_726,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X0)
| c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_725]) ).
tcf(c_727,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X2)
| c3_1(X1)
| c2_1(X2)
| c2_1(X0)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_456,c_257,c_285,c_283,c_456]) ).
tcf(c_728,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X2)
| c3_1(X1)
| c2_1(X2)
| c2_1(X0)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_727]) ).
tcf(c_729,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_455,c_257,c_285,c_283,c_455]) ).
tcf(c_730,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_729]) ).
tcf(c_731,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_461,c_257,c_285,c_283,c_461]) ).
tcf(c_732,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_731]) ).
tcf(c_733,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X2)
| c3_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_460,c_460,c_501]) ).
tcf(c_734,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X2)
| c3_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_733]) ).
tcf(c_735,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c3_1(X0)
| c2_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_459,c_257,c_285,c_283,c_459]) ).
tcf(c_736,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c3_1(X0)
| c2_1(X1)
| c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_735]) ).
tcf(c_737,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_458,c_257,c_285,c_283,c_458]) ).
tcf(c_738,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| c0_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_737]) ).
tcf(c_739,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_462,c_257,c_285,c_283,c_462]) ).
tcf(c_740,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c0_1(X2)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_739]) ).
tcf(c_741,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X2)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_464,c_257,c_285,c_283,c_464]) ).
tcf(c_742,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X2)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_741]) ).
tcf(c_743,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_463,c_257,c_285,c_283,c_463]) ).
tcf(c_744,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c0_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_743]) ).
tcf(c_2128,plain,
! [X0: $i] :
( c3_1(X0)
| c2_1(X0)
| ~ c3_1(a418)
| ~ c0_1(X0) ),
inference(resolution,[status(thm)],[c_565,c_347]) ).
tcf(c_2129,plain,
( c3_1(a353)
| c2_1(a353)
| ~ c3_1(a418)
| ~ c0_1(a353) ),
inference(instantiation,[status(thm)],[c_2128]) ).
tcf(c_2142,plain,
! [X0: $i] :
( c3_1(X0)
| c2_1(X0)
| ~ c2_1(a418)
| ~ c0_1(X0) ),
inference(resolution,[status(thm)],[c_565,c_346]) ).
tcf(c_2143,plain,
( c3_1(a353)
| c2_1(a353)
| ~ c2_1(a418)
| ~ c0_1(a353) ),
inference(instantiation,[status(thm)],[c_2142]) ).
tcf(c_2156,plain,
! [X0: $i] :
( c0_1(a418)
| c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ),
inference(resolution,[status(thm)],[c_565,c_311]) ).
tcf(c_2157,plain,
( c3_1(a353)
| c2_1(a353)
| c0_1(a418)
| ~ c0_1(a353) ),
inference(instantiation,[status(thm)],[c_2156]) ).
tcf(c_2491,plain,
( hskp18
| hskp6
| ~ c2_1(a395) ),
inference(resolution,[status(thm)],[c_295,c_355]) ).
tcf(c_2501,plain,
( hskp18
| hskp6
| ~ c0_1(a395) ),
inference(resolution,[status(thm)],[c_295,c_354]) ).
tcf(c_2511,plain,
( hskp18
| hskp6
| c1_1(a395) ),
inference(resolution,[status(thm)],[c_295,c_318]) ).
tcf(c_2545,plain,
! [X0: $i,X1: $i] :
( c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| ~ c2_1(a398)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(resolution,[status(thm)],[c_682,c_352]) ).
tcf(c_2546,plain,
( c1_1(a353)
| c2_1(a353)
| ~ c3_1(a353)
| ~ c2_1(a398)
| ~ c0_1(a353) ),
inference(instantiation,[status(thm)],[c_2545]) ).
tcf(c_2568,plain,
! [X0: $i,X1: $i] :
( c3_1(a398)
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(resolution,[status(thm)],[c_682,c_315]) ).
tcf(c_2569,plain,
( c1_1(a353)
| c3_1(a398)
| c2_1(a353)
| ~ c3_1(a353)
| ~ c0_1(a353) ),
inference(instantiation,[status(thm)],[c_2568]) ).
tcf(c_2591,plain,
! [X0: $i,X1: $i] :
( c1_1(a398)
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(resolution,[status(thm)],[c_682,c_314]) ).
tcf(c_2592,plain,
( c1_1(a353)
| c1_1(a398)
| c2_1(a353)
| ~ c3_1(a353)
| ~ c0_1(a353) ),
inference(instantiation,[status(thm)],[c_2591]) ).
tcf(c_8366,plain,
( hskp1
| hskp17
| c3_1(a368) ),
inference(resolution,[status(thm)],[c_291,c_331]) ).
tcf(c_8376,plain,
( hskp1
| hskp17
| c2_1(a368) ),
inference(resolution,[status(thm)],[c_291,c_330]) ).
tcf(c_8744,plain,
( hskp4
| ~ c2_1(a360) ),
inference(resolution,[status(thm)],[c_257,c_382]) ).
tcf(c_8751,plain,
( hskp4
| ~ c1_1(a360) ),
inference(resolution,[status(thm)],[c_257,c_381]) ).
tcf(c_9201,plain,
( hskp6
| ~ c3_1(a358) ),
inference(resolution,[status(thm)],[c_257,c_388]) ).
tcf(c_9208,plain,
( hskp6
| ~ c0_1(a358) ),
inference(resolution,[status(thm)],[c_257,c_387]) ).
tcf(c_9215,plain,
( hskp6
| c2_1(a358) ),
inference(resolution,[status(thm)],[c_257,c_336]) ).
tcf(c_17707,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_744]) ).
tcf(c_17708,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_744]) ).
tcf(c_17709,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_744]) ).
tcf(c_17710,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_744]) ).
tcf(c_17711,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ~ c2_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_742]) ).
tcf(c_17712,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_742]) ).
tcf(c_17713,negated_conjecture,
( iPr_def_14
| iPr_def_13
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_742]) ).
tcf(c_17714,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_740]) ).
tcf(c_17715,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_740]) ).
tcf(c_17716,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_740]) ).
tcf(c_17717,negated_conjecture,
( iPr_def_17
| iPr_def_16
| iPr_def_15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_740]) ).
tcf(c_17718,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_738]) ).
tcf(c_17719,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_738]) ).
tcf(c_17722,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_736]) ).
tcf(c_17723,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_22
| c2_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_736]) ).
tcf(c_17725,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_23
| ~ c2_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_734]) ).
tcf(c_17726,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| ~ c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_734]) ).
tcf(c_17727,negated_conjecture,
( iPr_def_24
| iPr_def_23
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_734]) ).
tcf(c_17728,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_732]) ).
tcf(c_17729,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_26
| ~ c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_732]) ).
tcf(c_17730,negated_conjecture,
( iPr_def_26
| iPr_def_25
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_732]) ).
tcf(c_17731,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_27
| c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_730]) ).
tcf(c_17732,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| c0_1(X0)
| c2_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_730]) ).
tcf(c_17733,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_730]) ).
tcf(c_17734,negated_conjecture,
( iPr_def_29
| iPr_def_28
| iPr_def_27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_730]) ).
tcf(c_17735,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_30
| c0_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_728]) ).
tcf(c_17736,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| c2_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_728]) ).
tcf(c_17737,negated_conjecture,
( iPr_def_31
| iPr_def_30
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_728]) ).
tcf(c_17738,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| ~ c0_1(X0)
| c2_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_726]) ).
tcf(c_17739,negated_conjecture,
( iPr_def_32
| iPr_def_30
| iPr_def_25 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_726]) ).
tcf(c_17740,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_33
| c0_1(X0)
| ~ c2_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_723]) ).
tcf(c_17741,negated_conjecture,
( iPr_def_33
| iPr_def_30
| iPr_def_28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_723]) ).
tcf(c_17742,negated_conjecture,
( iPr_def_21
| iPr_def_15
| hskp17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_721]) ).
tcf(c_17743,negated_conjecture,
( iPr_def_17
| iPr_def_14
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_717]) ).
tcf(c_17744,negated_conjecture,
( iPr_def_17
| iPr_def_15
| hskp6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_715]) ).
tcf(c_17747,negated_conjecture,
( iPr_def_14
| iPr_def_11
| hskp4 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_709]) ).
tcf(c_17748,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_34
| c0_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_719]) ).
tcf(c_17749,negated_conjecture,
( iPr_def_34
| iPr_def_15
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_719]) ).
tcf(c_17751,negated_conjecture,
( iPr_def_25
| iPr_def_14
| hskp28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_702]) ).
tcf(c_17752,negated_conjecture,
( iPr_def_28
| iPr_def_10
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_700]) ).
tcf(c_17756,negated_conjecture,
( iPr_def_27
| iPr_def_15
| hskp13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_693]) ).
tcf(c_17759,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_36
| c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_687]) ).
tcf(c_17763,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_38
| ~ c0_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_682]) ).
tcf(c_17764,negated_conjecture,
( iPr_def_38
| iPr_def_22
| hskp23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_682]) ).
tcf(c_17765,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_39
| ~ c0_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_680]) ).
tcf(c_17767,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_40
| ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_678]) ).
tcf(c_17768,negated_conjecture,
( iPr_def_40
| iPr_def_38
| hskp31 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_678]) ).
tcf(c_17769,negated_conjecture,
( iPr_def_40
| iPr_def_17
| hskp31 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_676]) ).
tcf(c_17771,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_41
| c0_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_672]) ).
tcf(c_17775,negated_conjecture,
( iPr_def_39
| iPr_def_36
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_665]) ).
tcf(c_17776,negated_conjecture,
( iPr_def_31
| iPr_def_21
| hskp20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_663]) ).
tcf(c_17777,negated_conjecture,
( iPr_def_41
| iPr_def_28
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_659]) ).
tcf(c_17778,negated_conjecture,
( iPr_def_40
| iPr_def_28
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_657]) ).
tcf(c_17784,negated_conjecture,
( iPr_def_14
| hskp18
| hskp31 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_641]) ).
tcf(c_17789,negated_conjecture,
( iPr_def_23
| hskp23
| hskp30 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_626]) ).
tcf(c_17791,negated_conjecture,
( iPr_def_18
| hskp2
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_620]) ).
tcf(c_17797,negated_conjecture,
( iPr_def_19
| hskp1
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_601]) ).
tcf(c_17799,negated_conjecture,
( iPr_def_16
| hskp19
| hskp28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_595]) ).
tcf(c_17803,negated_conjecture,
( iPr_def_39
| hskp3
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_580]) ).
tcf(c_17805,negated_conjecture,
( iPr_def_28
| hskp3
| hskp4 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_574]) ).
tcf(c_17806,negated_conjecture,
( iPr_def_28
| hskp5
| hskp6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_571]) ).
tcf(c_17817,plain,
( c3_1(a353)
| c2_1(a353)
| ~ iPr_def_25
| ~ c1_1(a353) ),
inference(instantiation,[status(thm)],[c_17728]) ).
tcf(c_17822,plain,
( c3_1(a353)
| c2_1(a353)
| ~ iPr_def_40
| ~ c0_1(a353) ),
inference(instantiation,[status(thm)],[c_17767]) ).
tcf(c_17825,plain,
( c2_1(a353)
| ~ iPr_def_18
| ~ c1_1(a353)
| ~ c3_1(a353) ),
inference(instantiation,[status(thm)],[c_17718]) ).
tcf(c_17830,plain,
( c2_1(a353)
| ~ iPr_def_26
| ~ c1_1(a353)
| ~ c0_1(a353) ),
inference(instantiation,[status(thm)],[c_17729]) ).
tcf(c_17831,plain,
( c2_1(a353)
| ~ iPr_def_29
| ~ c3_1(a353)
| ~ c0_1(a353) ),
inference(instantiation,[status(thm)],[c_17733]) ).
tcf(c_17836,plain,
( ~ iPr_def_12
| ~ c1_1(a353)
| ~ c3_1(a353)
| ~ c0_1(a353) ),
inference(instantiation,[status(thm)],[c_17709]) ).
tcf(c_17840,plain,
( hskp0
| c0_1(a365)
| ~ c3_1(a365)
| ~ c2_1(a365) ),
inference(instantiation,[status(thm)],[c_593]) ).
tcf(c_17842,plain,
( hskp0
| c0_1(a368)
| ~ c3_1(a368)
| ~ c2_1(a368) ),
inference(instantiation,[status(thm)],[c_593]) ).
tcf(c_17844,plain,
( hskp0
| c0_1(a357)
| ~ c3_1(a357)
| ~ c2_1(a357) ),
inference(instantiation,[status(thm)],[c_593]) ).
tcf(c_17847,plain,
( ~ iPr_def_10
| ~ c1_1(a365)
| ~ c2_1(a365)
| ~ c0_1(a365) ),
inference(instantiation,[status(thm)],[c_17707]) ).
tcf(c_17852,plain,
( ~ iPr_def_10
| ~ c1_1(a380)
| ~ c2_1(a380)
| ~ c0_1(a380) ),
inference(instantiation,[status(thm)],[c_17707]) ).
tcf(c_17859,plain,
( c1_1(a379)
| c3_1(a379)
| ~ iPr_def_13
| ~ c2_1(a379) ),
inference(instantiation,[status(thm)],[c_17711]) ).
tcf(c_17871,plain,
( c3_1(a370)
| ~ iPr_def_17
| ~ c2_1(a370)
| ~ c0_1(a370) ),
inference(instantiation,[status(thm)],[c_17716]) ).
tcf(c_17876,plain,
( c3_1(a356)
| ~ iPr_def_17
| ~ c2_1(a356)
| ~ c0_1(a356) ),
inference(instantiation,[status(thm)],[c_17716]) ).
tcf(c_17879,plain,
( c2_1(a398)
| ~ iPr_def_18
| ~ c1_1(a398)
| ~ c3_1(a398) ),
inference(instantiation,[status(thm)],[c_17718]) ).
tcf(c_17882,plain,
( c2_1(a357)
| ~ iPr_def_18
| ~ c1_1(a357)
| ~ c3_1(a357) ),
inference(instantiation,[status(thm)],[c_17718]) ).
tcf(c_17889,plain,
( c3_1(a388)
| c2_1(a388)
| ~ iPr_def_25
| ~ c1_1(a388) ),
inference(instantiation,[status(thm)],[c_17728]) ).
tcf(c_17890,plain,
( c3_1(a380)
| c2_1(a380)
| ~ iPr_def_25
| ~ c1_1(a380) ),
inference(instantiation,[status(thm)],[c_17728]) ).
tcf(c_17900,plain,
( c1_1(a410)
| ~ iPr_def_23
| ~ c3_1(a410)
| ~ c2_1(a410) ),
inference(instantiation,[status(thm)],[c_17725]) ).
tcf(c_17906,plain,
( c1_1(a368)
| ~ iPr_def_23
| ~ c3_1(a368)
| ~ c2_1(a368) ),
inference(instantiation,[status(thm)],[c_17725]) ).
tcf(c_17910,plain,
( c1_1(a356)
| ~ iPr_def_23
| ~ c3_1(a356)
| ~ c2_1(a356) ),
inference(instantiation,[status(thm)],[c_17725]) ).
tcf(c_17916,plain,
( c2_1(a357)
| c0_1(a357)
| ~ iPr_def_11
| ~ c3_1(a357) ),
inference(instantiation,[status(thm)],[c_17708]) ).
tcf(c_17917,plain,
( ~ iPr_def_14
| ~ c3_1(a410)
| ~ c2_1(a410)
| ~ c0_1(a410) ),
inference(instantiation,[status(thm)],[c_17712]) ).
tcf(c_17919,plain,
( ~ iPr_def_14
| ~ c3_1(a365)
| ~ c2_1(a365)
| ~ c0_1(a365) ),
inference(instantiation,[status(thm)],[c_17712]) ).
tcf(c_17923,plain,
( ~ iPr_def_14
| ~ c3_1(a368)
| ~ c2_1(a368)
| ~ c0_1(a368) ),
inference(instantiation,[status(thm)],[c_17712]) ).
tcf(c_17927,plain,
( ~ iPr_def_14
| ~ c3_1(a356)
| ~ c2_1(a356)
| ~ c0_1(a356) ),
inference(instantiation,[status(thm)],[c_17712]) ).
tcf(c_17928,plain,
( c3_1(a418)
| c2_1(a418)
| ~ iPr_def_25
| ~ c1_1(a418) ),
inference(instantiation,[status(thm)],[c_17728]) ).
tcf(c_17948,plain,
( c1_1(a359)
| c3_1(a359)
| c0_1(a359)
| ~ iPr_def_30 ),
inference(instantiation,[status(thm)],[c_17735]) ).
tcf(c_17949,plain,
( c1_1(a358)
| c3_1(a358)
| c0_1(a358)
| ~ iPr_def_30 ),
inference(instantiation,[status(thm)],[c_17735]) ).
tcf(c_17955,plain,
( c3_1(a358)
| c0_1(a358)
| ~ iPr_def_16
| ~ c2_1(a358) ),
inference(instantiation,[status(thm)],[c_17715]) ).
tcf(c_17962,plain,
( c0_1(a357)
| ~ iPr_def_21
| ~ c1_1(a357)
| ~ c3_1(a357) ),
inference(instantiation,[status(thm)],[c_17722]) ).
tcf(c_17967,plain,
( ~ iPr_def_15
| ~ c1_1(a410)
| ~ c3_1(a410)
| ~ c2_1(a410) ),
inference(instantiation,[status(thm)],[c_17714]) ).
tcf(c_17969,plain,
( ~ iPr_def_15
| ~ c1_1(a365)
| ~ c3_1(a365)
| ~ c2_1(a365) ),
inference(instantiation,[status(thm)],[c_17714]) ).
tcf(c_18004,plain,
( hskp17
| c2_1(a357)
| c0_1(a357)
| ~ c3_1(a357) ),
inference(instantiation,[status(thm)],[c_568]) ).
tcf(c_18018,plain,
( c1_1(a387)
| c3_1(a387)
| c0_1(a387)
| ~ iPr_def_30 ),
inference(instantiation,[status(thm)],[c_17735]) ).
tcf(c_18021,plain,
( c1_1(a387)
| c2_1(a387)
| c0_1(a387)
| ~ iPr_def_28 ),
inference(instantiation,[status(thm)],[c_17732]) ).
tcf(c_18025,plain,
( c3_1(a380)
| ~ iPr_def_24
| ~ c1_1(a380)
| ~ c2_1(a380) ),
inference(instantiation,[status(thm)],[c_17726]) ).
tcf(c_18036,plain,
( ~ iPr_def_15
| ~ c1_1(a357)
| ~ c3_1(a357)
| ~ c2_1(a357) ),
inference(instantiation,[status(thm)],[c_17714]) ).
tcf(c_18038,plain,
( ~ iPr_def_15
| ~ c1_1(a373)
| ~ c3_1(a373)
| ~ c2_1(a373) ),
inference(instantiation,[status(thm)],[c_17714]) ).
tcf(c_18052,plain,
( c1_1(a355)
| c2_1(a355)
| ~ iPr_def_22
| ~ c3_1(a355) ),
inference(instantiation,[status(thm)],[c_17723]) ).
tcf(c_18058,plain,
( c3_1(a358)
| c0_1(a358)
| ~ iPr_def_36
| ~ c1_1(a358) ),
inference(instantiation,[status(thm)],[c_17759]) ).
tcf(c_18060,plain,
( ~ iPr_def_12
| ~ c1_1(a373)
| ~ c3_1(a373)
| ~ c0_1(a373) ),
inference(instantiation,[status(thm)],[c_17709]) ).
tcf(c_18070,plain,
( c2_1(a373)
| ~ iPr_def_18
| ~ c1_1(a373)
| ~ c3_1(a373) ),
inference(instantiation,[status(thm)],[c_17718]) ).
tcf(c_18088,plain,
( c1_1(a387)
| c0_1(a387)
| ~ iPr_def_41
| ~ c3_1(a387) ),
inference(instantiation,[status(thm)],[c_17771]) ).
tcf(c_18097,plain,
( c3_1(a380)
| ~ iPr_def_17
| ~ c2_1(a380)
| ~ c0_1(a380) ),
inference(instantiation,[status(thm)],[c_17716]) ).
tcf(c_18119,plain,
( c0_1(a357)
| ~ iPr_def_34
| ~ c3_1(a357) ),
inference(instantiation,[status(thm)],[c_17748]) ).
tcf(c_18135,plain,
( ~ iPr_def_12
| ~ c1_1(a365)
| ~ c3_1(a365)
| ~ c0_1(a365) ),
inference(instantiation,[status(thm)],[c_17709]) ).
tcf(c_18137,plain,
( c1_1(a418)
| c3_1(a418)
| ~ iPr_def_39
| ~ c0_1(a418) ),
inference(instantiation,[status(thm)],[c_17765]) ).
tcf(c_18144,plain,
( c1_1(a360)
| c3_1(a360)
| ~ iPr_def_39
| ~ c0_1(a360) ),
inference(instantiation,[status(thm)],[c_17765]) ).
tcf(c_18194,plain,
( c3_1(a380)
| c2_1(a380)
| ~ iPr_def_40
| ~ c0_1(a380) ),
inference(instantiation,[status(thm)],[c_17767]) ).
tcf(c_18198,plain,
( c3_1(a360)
| c2_1(a360)
| ~ iPr_def_40
| ~ c0_1(a360) ),
inference(instantiation,[status(thm)],[c_17767]) ).
tcf(c_18208,plain,
( c1_1(a360)
| c3_1(a360)
| c2_1(a360)
| ~ iPr_def_31 ),
inference(instantiation,[status(thm)],[c_17736]) ).
tcf(c_18270,plain,
( c1_1(a358)
| c0_1(a358)
| ~ iPr_def_33
| ~ c2_1(a358) ),
inference(instantiation,[status(thm)],[c_17740]) ).
tcf(c_18323,plain,
( c1_1(a387)
| c3_1(a387)
| c2_1(a387)
| ~ iPr_def_31 ),
inference(instantiation,[status(thm)],[c_17736]) ).
tcf(c_18353,plain,
( c1_1(a375)
| c0_1(a375)
| ~ iPr_def_41
| ~ c3_1(a375) ),
inference(instantiation,[status(thm)],[c_17771]) ).
tcf(c_18610,plain,
( c3_1(a360)
| c2_1(a360)
| c0_1(a360)
| ~ iPr_def_27 ),
inference(instantiation,[status(thm)],[c_17731]) ).
tcf(c_18618,plain,
( c1_1(a360)
| c3_1(a360)
| c0_1(a360)
| ~ iPr_def_30 ),
inference(instantiation,[status(thm)],[c_17735]) ).
tcf(c_18621,plain,
( c1_1(a360)
| c2_1(a360)
| c0_1(a360)
| ~ iPr_def_28 ),
inference(instantiation,[status(thm)],[c_17732]) ).
tcf(c_18670,plain,
( c1_1(a356)
| c3_1(a356)
| ~ iPr_def_39
| ~ c0_1(a356) ),
inference(instantiation,[status(thm)],[c_17765]) ).
tcf(c_18850,plain,
( c3_1(a387)
| c2_1(a387)
| c0_1(a387)
| ~ iPr_def_27 ),
inference(instantiation,[status(thm)],[c_17731]) ).
tcf(c_19345,plain,
( c2_1(a395)
| ~ iPr_def_18
| ~ c1_1(a395)
| ~ c3_1(a395) ),
inference(instantiation,[status(thm)],[c_17718]) ).
tcf(c_19349,plain,
( c3_1(a395)
| c2_1(a395)
| c0_1(a395)
| ~ iPr_def_27 ),
inference(instantiation,[status(thm)],[c_17731]) ).
tcf(c_19354,plain,
( hskp17
| c2_1(a395)
| c0_1(a395)
| ~ c3_1(a395) ),
inference(instantiation,[status(thm)],[c_568]) ).
tcf(c_19358,plain,
( c2_1(a395)
| c0_1(a395)
| ~ iPr_def_19
| ~ c1_1(a395) ),
inference(instantiation,[status(thm)],[c_17719]) ).
tcf(c_19359,plain,
( c2_1(a395)
| c0_1(a395)
| ~ iPr_def_11
| ~ c3_1(a395) ),
inference(instantiation,[status(thm)],[c_17708]) ).
tcf(c_19476,plain,
( c1_1(a382)
| c0_1(a382)
| ~ iPr_def_41
| ~ c3_1(a382) ),
inference(instantiation,[status(thm)],[c_17771]) ).
tcf(c_19479,plain,
( hskp17
| c2_1(a382)
| c0_1(a382)
| ~ c3_1(a382) ),
inference(instantiation,[status(thm)],[c_568]) ).
tcf(c_19484,plain,
( c2_1(a382)
| c0_1(a382)
| ~ iPr_def_11
| ~ c3_1(a382) ),
inference(instantiation,[status(thm)],[c_17708]) ).
tcf(c_19485,plain,
( c1_1(a382)
| c2_1(a382)
| c0_1(a382)
| ~ iPr_def_28 ),
inference(instantiation,[status(thm)],[c_17732]) ).
tcf(c_19487,plain,
( c1_1(a382)
| c2_1(a382)
| ~ iPr_def_22
| ~ c3_1(a382) ),
inference(instantiation,[status(thm)],[c_17723]) ).
tcf(c_19512,plain,
( c3_1(a395)
| c2_1(a395)
| ~ iPr_def_25
| ~ c1_1(a395) ),
inference(instantiation,[status(thm)],[c_17728]) ).
tcf(c_19632,plain,
( ~ iPr_def_14
| ~ c3_1(a373)
| ~ c2_1(a373)
| ~ c0_1(a373) ),
inference(instantiation,[status(thm)],[c_17712]) ).
tcf(c_19636,plain,
( ~ iPr_def_14
| ~ c3_1(a355)
| ~ c2_1(a355)
| ~ c0_1(a355) ),
inference(instantiation,[status(thm)],[c_17712]) ).
tcf(c_19682,plain,
( c2_1(a382)
| ~ iPr_def_18
| ~ c1_1(a382)
| ~ c3_1(a382) ),
inference(instantiation,[status(thm)],[c_17718]) ).
tcf(c_19690,plain,
( c1_1(a355)
| c2_1(a355)
| ~ iPr_def_32
| ~ c0_1(a355) ),
inference(instantiation,[status(thm)],[c_17738]) ).
tcf(c_19703,plain,
( c1_1(a355)
| ~ iPr_def_38
| ~ c3_1(a355)
| ~ c0_1(a355) ),
inference(instantiation,[status(thm)],[c_17763]) ).
tcf(c_19708,plain,
( hskp11
| ~ c1_1(a357)
| ~ c3_1(a357)
| ~ c2_1(a357) ),
inference(instantiation,[status(thm)],[c_611]) ).
tcf(c_19718,plain,
( c1_1(a355)
| ~ iPr_def_23
| ~ c3_1(a355)
| ~ c2_1(a355) ),
inference(instantiation,[status(thm)],[c_17725]) ).
tcf(c_19733,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_19718,c_19708,c_19703,c_19690,c_19682,c_19636,c_19632,c_19512,c_19487,c_19476,c_19479,c_19484,c_19485,c_19349,c_19354,c_19358,c_19359,c_19345,c_18850,c_18670,c_18610,c_18618,c_18621,c_18353,c_18323,c_18270,c_18208,c_18198,c_18194,c_18144,c_18137,c_18135,c_18119,c_18097,c_18088,c_18070,c_18060,c_18058,c_18052,c_18038,c_18036,c_18025,c_18018,c_18021,c_18004,c_17969,c_17967,c_17962,c_17955,c_17949,c_17948,c_17928,c_17927,c_17923,c_17919,c_17917,c_17916,c_17910,c_17906,c_17900,c_17890,c_17889,c_17882,c_17879,c_17876,c_17871,c_17859,c_17852,c_17847,c_17844,c_17842,c_17840,c_17836,c_17831,c_17830,c_17825,c_17822,c_17817,c_17806,c_17805,c_17803,c_17799,c_17797,c_17791,c_17789,c_17784,c_17778,c_17777,c_17776,c_17775,c_17769,c_17768,c_17764,c_17756,c_17752,c_17751,c_17749,c_17747,c_17744,c_17743,c_17742,c_17741,c_17739,c_17737,c_17734,c_17730,c_17727,c_17717,c_17713,c_17710,c_9215,c_9208,c_9201,c_8751,c_8744,c_8376,c_8366,c_2592,c_2569,c_2546,c_2511,c_2501,c_2491,c_2157,c_2143,c_2129,c_352,c_356,c_357,c_358,c_359,c_360,c_361,c_362,c_363,c_364,c_365,c_368,c_369,c_370,c_372,c_381,c_382,c_383,c_384,c_385,c_386,c_387,c_388,c_389,c_390,c_391,c_392,c_297,c_298,c_299,c_300,c_301,c_302,c_306,c_307,c_308,c_314,c_315,c_319,c_320,c_321,c_322,c_323,c_325,c_326,c_327,c_330,c_331,c_336,c_337,c_338,c_339,c_340,c_341,c_342,c_343,c_344]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN504-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n011.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Fri Sep 25 01:35:13 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.41 Running EPR theorem proving
% 0.15/0.41 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
% 0.15/0.42
% 0.15/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.42
% 0.15/0.42 % Detected problem language: tptp
% 0.15/0.43 % Proving...
% 7.20/1.71 % SZS status Started for theBenchmark.p
% 7.20/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 7.20/1.71
% 7.20/1.71 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.20/1.71
% 7.20/1.71 % ------ iProver source info
% 7.20/1.71
% 7.20/1.71 % git: date: 2026-07-19 20:42:38 +0200
% 7.20/1.71 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.20/1.71 % git: non_committed_changes: false
% 7.20/1.71
% 7.20/1.71 % ------ Parsing...% successful
% 7.20/1.71
% 7.20/1.71
% 7.20/1.71 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 7.20/1.71 %
% 7.20/1.71
% 7.20/1.71 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 7.20/1.71
% 7.20/1.71 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 7.20/1.71 gs_s sp: 120 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.20/1.71 % ------ Proving...
% 7.20/1.71 % ------ Problem Properties
% 7.20/1.71
% 7.20/1.71 %
% 7.20/1.71 % clauses 207
% 7.20/1.71 % conjectures 204
% 7.20/1.71 % EPR 207
% 7.20/1.71 % Horn 111
% 7.20/1.71 % unary 0
% 7.20/1.71 % binary 94
% 7.20/1.71 % lits 563
% 7.20/1.71 % lits eq 0
% 7.20/1.71 % fd_pure 0
% 7.20/1.71 % fd_pseudo 0
% 7.20/1.71 % fd_cond 0
% 7.20/1.71 % fd_pseudo_cond 0
% 7.20/1.71 % AC symbols 0
% 7.20/1.71
% 7.20/1.71 % ------ Schedule EPR non Horn non eq is on
% 7.20/1.71
% 7.20/1.71 % ------ no equalities: superposition off
% 7.20/1.71
% 7.20/1.71 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 7.20/1.71
% 7.20/1.71
% 7.20/1.71 % ------
% 7.20/1.71 % Current options:
% 7.20/1.71 % ------
% 7.20/1.71
% 7.20/1.71
% 7.20/1.71 %
% 7.20/1.71
% 7.20/1.71 % ------ Proving...
% 7.20/1.71 %
% 7.20/1.71
% 7.20/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 7.20/1.71
% 7.20/1.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.20/1.72
% 7.20/1.72
%------------------------------------------------------------------------------