%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN510-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n018.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 03:40:38 PM UTC 2026
% Result : Unsatisfiable 4.74s 1.78s
% Output : CNFRefutation 4.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 96
% Syntax : Number of formulae : 363 ( 2 unt; 0 def)
% Number of atoms : 1565 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2037 ( 835 ~;1202 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 53 ( 52 usr; 49 prp; 0-1 aty)
% Number of functors : 19 ( 19 usr; 19 con; 0-0 aty)
% Number of variables : 257 ( 0 sgn 257 !; 0 ?; 197 :)
% Comments :
%------------------------------------------------------------------------------
fof(f6,negated_conjecture,
( ndr1_0
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f26,negated_conjecture,
( ndr1_0
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f30,negated_conjecture,
( ndr1_0
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f32,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f34,negated_conjecture,
( hskp14
| hskp12
| hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f35,negated_conjecture,
( hskp16
| hskp10
| hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f39,negated_conjecture,
( hskp4
| hskp7
| hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f45,negated_conjecture,
( hskp2
| hskp6
| hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f47,negated_conjecture,
( hskp23
| hskp22
| hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( c0_1(a563)
| ~ hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( c1_1(a563)
| ~ hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( c3_1(a563)
| ~ hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f54,negated_conjecture,
( c0_1(a552)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f55,negated_conjecture,
( c2_1(a552)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f56,negated_conjecture,
( c3_1(a552)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f66,negated_conjecture,
( c3_1(a584)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( c2_1(a582)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( c3_1(a582)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f70,negated_conjecture,
( c0_1(a576)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f72,negated_conjecture,
( c1_1(a570)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( c0_1(a567)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( c1_1(a567)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( c2_1(a566)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( c3_1(a566)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( c0_1(a565)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( c3_1(a565)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( c0_1(a564)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( c3_1(a564)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( c1_1(a553)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( c3_1(a553)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( c1_1(a551)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( c3_1(a551)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f87,negated_conjecture,
( c2_1(a547)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( c3_1(a546)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f91,negated_conjecture,
( c3_1(a540)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
fof(f92,negated_conjecture,
( c0_1(a539)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
fof(f94,negated_conjecture,
( c0_1(a536)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
fof(f95,negated_conjecture,
( c2_1(a536)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
fof(f102,negated_conjecture,
( ~ hskp23
| ~ c0_1(a587) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ hskp23
| ~ c2_1(a587) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ hskp23
| ~ c3_1(a587) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ hskp22
| ~ c0_1(a584) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ hskp22
| ~ c2_1(a584) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ hskp21
| ~ c1_1(a582) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f110,negated_conjecture,
( ~ hskp19
| ~ c1_1(a576) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ hskp19
| ~ c3_1(a576) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f117,negated_conjecture,
( ~ hskp16
| ~ c2_1(a570) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f119,negated_conjecture,
( ~ hskp15
| ~ c2_1(a567) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ hskp14
| ~ c0_1(a566) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ hskp13
| ~ c2_1(a565) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ hskp12
| ~ c1_1(a564) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ hskp11
| ~ c2_1(a553) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
( ~ hskp10
| ~ c0_1(a551) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ hskp9
| ~ c0_1(a549) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ hskp9
| ~ c1_1(a549) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ hskp9
| ~ c2_1(a549) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f129,negated_conjecture,
( ~ hskp7
| ~ c0_1(a547) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( ~ hskp7
| ~ c3_1(a547) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f131,negated_conjecture,
( ~ hskp6
| ~ c0_1(a546) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f132,negated_conjecture,
( ~ hskp6
| ~ c1_1(a546) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
fof(f135,negated_conjecture,
( ~ hskp4
| ~ c2_1(a540) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
fof(f136,negated_conjecture,
( ~ hskp3
| ~ c2_1(a539) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
fof(f137,negated_conjecture,
( ~ hskp3
| ~ c3_1(a539) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
fof(f143,negated_conjecture,
( ~ hskp0
| ~ c3_1(a536) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
fof(f146,negated_conjecture,
! [X0] :
( hskp2
| hskp15
| c3_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
fof(f147,negated_conjecture,
! [X0] :
( hskp16
| hskp3
| c3_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
fof(f150,negated_conjecture,
! [X0] :
( hskp11
| hskp29
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).
fof(f151,negated_conjecture,
! [X0] :
( hskp9
| hskp11
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
fof(f152,negated_conjecture,
! [X0] :
( hskp11
| hskp12
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
fof(f156,negated_conjecture,
! [X0] :
( hskp22
| hskp21
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
fof(f157,negated_conjecture,
! [X0] :
( hskp6
| hskp3
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f162,negated_conjecture,
! [X0] :
( hskp0
| hskp15
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).
fof(f163,negated_conjecture,
! [X0] :
( hskp6
| hskp3
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
fof(f164,negated_conjecture,
! [X0] :
( hskp21
| hskp12
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
fof(f173,negated_conjecture,
! [X0] :
( hskp14
| hskp10
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f175,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/sandbox2/benchmark/theBenchmark.p',clause175) ).
fof(f179,negated_conjecture,
! [X0,X1] :
( hskp6
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f181,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/sandbox2/benchmark/theBenchmark.p',clause181) ).
fof(f182,negated_conjecture,
! [X0,X1] :
( hskp17
| c2_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
fof(f186,negated_conjecture,
! [X0,X1] :
( c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
fof(f189,negated_conjecture,
! [X0,X1] :
( hskp0
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).
fof(f190,negated_conjecture,
! [X0,X1] :
( hskp6
| c0_1(X1)
| c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).
fof(f191,negated_conjecture,
! [X0,X1] :
( hskp31
| c0_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).
fof(f192,negated_conjecture,
! [X0,X1] :
( hskp13
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).
fof(f193,negated_conjecture,
! [X0,X1] :
( hskp19
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).
fof(f195,negated_conjecture,
! [X0,X1] :
( hskp3
| c1_1(X1)
| c2_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).
fof(f198,negated_conjecture,
! [X0,X1] :
( hskp12
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).
fof(f199,negated_conjecture,
! [X0,X1] :
( hskp23
| c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).
fof(f200,negated_conjecture,
! [X0,X1] :
( hskp14
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).
fof(f201,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).
fof(f202,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).
fof(f203,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).
fof(f204,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_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/sandbox2/benchmark/theBenchmark.p',clause204) ).
fof(f206,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause206) ).
fof(f207,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c2_1(X1)
| c3_1(X0)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause207) ).
fof(f208,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| ~ c1_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/sandbox2/benchmark/theBenchmark.p',clause208) ).
tcf(c_262,negated_conjecture,
( ndr1_0
| ~ hskp26 ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_282,negated_conjecture,
( ndr1_0
| ~ hskp6 ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_286,negated_conjecture,
( ndr1_0
| ~ hskp2 ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_288,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_290,negated_conjecture,
( hskp12
| hskp14
| hskp31 ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_291,negated_conjecture,
( hskp10
| hskp16
| hskp31 ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_295,negated_conjecture,
( hskp4
| hskp7
| hskp12 ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_301,negated_conjecture,
( hskp2
| hskp6
| hskp26 ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_303,negated_conjecture,
( hskp21
| hskp22
| hskp23 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_304,negated_conjecture,
( c0_1(a563)
| ~ hskp31 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_305,negated_conjecture,
( c1_1(a563)
| ~ hskp31 ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_306,negated_conjecture,
( c3_1(a563)
| ~ hskp31 ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_310,negated_conjecture,
( c0_1(a552)
| ~ hskp29 ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_311,negated_conjecture,
( c2_1(a552)
| ~ hskp29 ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_312,negated_conjecture,
( c3_1(a552)
| ~ hskp29 ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_322,negated_conjecture,
( c3_1(a584)
| ~ hskp22 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_323,negated_conjecture,
( c2_1(a582)
| ~ hskp21 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_324,negated_conjecture,
( c3_1(a582)
| ~ hskp21 ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_326,negated_conjecture,
( c0_1(a576)
| ~ hskp19 ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_328,negated_conjecture,
( c1_1(a570)
| ~ hskp16 ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_329,negated_conjecture,
( c0_1(a567)
| ~ hskp15 ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_330,negated_conjecture,
( c1_1(a567)
| ~ hskp15 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_331,negated_conjecture,
( c2_1(a566)
| ~ hskp14 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_332,negated_conjecture,
( c3_1(a566)
| ~ hskp14 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_333,negated_conjecture,
( c0_1(a565)
| ~ hskp13 ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_334,negated_conjecture,
( c3_1(a565)
| ~ hskp13 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_335,negated_conjecture,
( c0_1(a564)
| ~ hskp12 ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_336,negated_conjecture,
( c3_1(a564)
| ~ hskp12 ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_337,negated_conjecture,
( c1_1(a553)
| ~ hskp11 ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_338,negated_conjecture,
( c3_1(a553)
| ~ hskp11 ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_339,negated_conjecture,
( c1_1(a551)
| ~ hskp10 ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_340,negated_conjecture,
( c3_1(a551)
| ~ hskp10 ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_343,negated_conjecture,
( c2_1(a547)
| ~ hskp7 ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_344,negated_conjecture,
( c3_1(a546)
| ~ hskp6 ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_347,negated_conjecture,
( c3_1(a540)
| ~ hskp4 ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_348,negated_conjecture,
( c0_1(a539)
| ~ hskp3 ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_350,negated_conjecture,
( c0_1(a536)
| ~ hskp0 ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_351,negated_conjecture,
( c2_1(a536)
| ~ hskp0 ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_358,negated_conjecture,
( ~ hskp23
| ~ c0_1(a587) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_359,negated_conjecture,
( ~ hskp23
| ~ c2_1(a587) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_360,negated_conjecture,
( ~ hskp23
| ~ c3_1(a587) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_361,negated_conjecture,
( ~ hskp22
| ~ c0_1(a584) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_362,negated_conjecture,
( ~ hskp22
| ~ c2_1(a584) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_363,negated_conjecture,
( ~ hskp21
| ~ c1_1(a582) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_366,negated_conjecture,
( ~ hskp19
| ~ c1_1(a576) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_367,negated_conjecture,
( ~ hskp19
| ~ c3_1(a576) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_373,negated_conjecture,
( ~ hskp16
| ~ c2_1(a570) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_375,negated_conjecture,
( ~ hskp15
| ~ c2_1(a567) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_376,negated_conjecture,
( ~ hskp14
| ~ c0_1(a566) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_377,negated_conjecture,
( ~ hskp13
| ~ c2_1(a565) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_378,negated_conjecture,
( ~ hskp12
| ~ c1_1(a564) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_379,negated_conjecture,
( ~ hskp11
| ~ c2_1(a553) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_380,negated_conjecture,
( ~ hskp10
| ~ c0_1(a551) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_381,negated_conjecture,
( ~ hskp9
| ~ c0_1(a549) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_382,negated_conjecture,
( ~ hskp9
| ~ c1_1(a549) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_383,negated_conjecture,
( ~ hskp9
| ~ c2_1(a549) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_385,negated_conjecture,
( ~ hskp7
| ~ c0_1(a547) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_386,negated_conjecture,
( ~ hskp7
| ~ c3_1(a547) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_387,negated_conjecture,
( ~ hskp6
| ~ c0_1(a546) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_388,negated_conjecture,
( ~ hskp6
| ~ c1_1(a546) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_391,negated_conjecture,
( ~ hskp4
| ~ c2_1(a540) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_392,negated_conjecture,
( ~ hskp3
| ~ c2_1(a539) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_393,negated_conjecture,
( ~ hskp3
| ~ c3_1(a539) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_399,negated_conjecture,
( ~ hskp0
| ~ c3_1(a536) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_402,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp15
| c2_1(X0)
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_403,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp16
| c2_1(X0)
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_406,negated_conjecture,
! [X0: $i] :
( hskp11
| hskp29
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_407,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp11
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_408,negated_conjecture,
! [X0: $i] :
( hskp11
| hskp12
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_412,negated_conjecture,
! [X0: $i] :
( hskp21
| hskp22
| c2_1(X0)
| c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_413,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp6
| c2_1(X0)
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_418,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp15
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_419,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp6
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_420,negated_conjecture,
! [X0: $i] :
( hskp12
| hskp21
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_429,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp14
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_431,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_435,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c2_1(X1)
| c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_437,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_438,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_442,negated_conjecture,
! [X0: $i,X1: $i] :
( c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_445,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_446,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_447,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp31
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_448,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_449,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp19
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_451,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c2_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_454,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp12
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_455,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp23
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_456,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_457,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_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)
| c3_1(X0)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_459,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_460,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_462,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_463,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c3_1(X0)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_464,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_485,plain,
( hskp12
| hskp21
| c3_1(a536)
| ~ ndr1_0
| ~ c2_1(a536)
| ~ c0_1(a536) ),
inference(instantiation,[status(thm)],[c_420]) ).
tcf(c_500,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_288,c_301,c_286,c_282,c_262]) ).
tcf(c_564,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp16
| c2_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_403,c_301,c_286,c_282,c_262,c_403]) ).
tcf(c_567,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp15
| c2_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_402,c_301,c_286,c_282,c_262,c_402]) ).
tcf(c_579,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp6
| c2_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_413,c_301,c_286,c_282,c_262,c_413,c_419]) ).
tcf(c_582,negated_conjecture,
! [X0: $i] :
( hskp21
| hskp22
| c2_1(X0)
| c3_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_412,c_301,c_286,c_282,c_262,c_412]) ).
tcf(c_594,negated_conjecture,
! [X0: $i] :
( hskp11
| hskp12
| c2_1(X0)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_408,c_301,c_286,c_282,c_262,c_408]) ).
tcf(c_597,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp11
| c3_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_407,c_301,c_286,c_282,c_262,c_407]) ).
tcf(c_600,negated_conjecture,
! [X0: $i] :
( hskp11
| hskp29
| c2_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_406,c_301,c_286,c_282,c_262,c_406]) ).
tcf(c_624,plain,
! [X0: $i] :
( hskp12
| hskp21
| c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_420,c_301,c_286,c_282,c_262,c_420]) ).
tcf(c_625,negated_conjecture,
! [X0: $i] :
( hskp12
| hskp21
| c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_624]) ).
tcf(c_627,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp6
| c2_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_419,c_579]) ).
tcf(c_629,plain,
! [X0: $i] :
( hskp0
| hskp15
| c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_418,c_301,c_286,c_282,c_262,c_418]) ).
tcf(c_630,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp15
| c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_629]) ).
tcf(c_644,plain,
! [X0: $i] :
( hskp10
| hskp14
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_429,c_301,c_286,c_282,c_262,c_429]) ).
tcf(c_645,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp14
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_644]) ).
tcf(c_658,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_431,c_301,c_286,c_282,c_262,c_431]) ).
tcf(c_663,plain,
! [X0: $i,X1: $i] :
( hskp6
| c2_1(X1)
| c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_435,c_301,c_286,c_282,c_262,c_435]) ).
tcf(c_664,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c2_1(X1)
| c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_663]) ).
tcf(c_669,plain,
! [X0: $i,X1: $i] :
( c2_1(X1)
| c3_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_442,c_301,c_286,c_282,c_262,c_442]) ).
tcf(c_670,negated_conjecture,
! [X0: $i,X1: $i] :
( c2_1(X1)
| c3_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_669]) ).
tcf(c_677,plain,
! [X0: $i,X1: $i] :
( hskp17
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_438,c_301,c_286,c_282,c_262,c_438]) ).
tcf(c_678,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_677]) ).
tcf(c_679,plain,
! [X0: $i,X1: $i] :
( hskp2
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_437,c_301,c_286,c_282,c_262,c_437]) ).
tcf(c_680,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_679]) ).
tcf(c_685,plain,
! [X0: $i,X1: $i] :
( hskp3
| c2_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_451,c_301,c_286,c_282,c_262,c_451]) ).
tcf(c_686,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c2_1(X1)
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_685]) ).
tcf(c_689,plain,
! [X0: $i,X1: $i] :
( hskp19
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_449,c_301,c_286,c_282,c_262,c_449]) ).
tcf(c_690,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp19
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_689]) ).
tcf(c_692,plain,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_448,c_301,c_286,c_282,c_262,c_448]) ).
tcf(c_693,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| c1_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_692]) ).
tcf(c_694,plain,
! [X0: $i,X1: $i] :
( hskp31
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_447,c_301,c_286,c_282,c_262,c_447]) ).
tcf(c_695,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp31
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_694]) ).
tcf(c_696,plain,
! [X0: $i,X1: $i] :
( hskp6
| c2_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_446,c_301,c_286,c_282,c_262,c_446]) ).
tcf(c_697,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c2_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_696]) ).
tcf(c_698,plain,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_445,c_301,c_286,c_282,c_262,c_445]) ).
tcf(c_699,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_698]) ).
tcf(c_704,plain,
! [X0: $i,X1: $i] :
( hskp23
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_455,c_455,c_500]) ).
tcf(c_705,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp23
| c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_704]) ).
tcf(c_706,plain,
! [X0: $i,X1: $i] :
( hskp12
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_454,c_301,c_286,c_282,c_262,c_454]) ).
tcf(c_707,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp12
| c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_706]) ).
tcf(c_708,plain,
! [X0: $i,X1: $i] :
( hskp14
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_456,c_301,c_286,c_282,c_262,c_456]) ).
tcf(c_709,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_708]) ).
tcf(c_711,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X0)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_458,c_301,c_286,c_282,c_262,c_458]) ).
tcf(c_712,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X0)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_711]) ).
tcf(c_713,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_457,c_301,c_286,c_282,c_262,c_457]) ).
tcf(c_714,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_713]) ).
tcf(c_715,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_459,c_301,c_286,c_282,c_262,c_459]) ).
tcf(c_716,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_715]) ).
tcf(c_720,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_460,c_301,c_286,c_282,c_262,c_460]) ).
tcf(c_721,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c0_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_720]) ).
tcf(c_722,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c3_1(X0)
| c1_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_463,c_301,c_286,c_282,c_262,c_463]) ).
tcf(c_723,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c3_1(X0)
| c1_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_722]) ).
tcf(c_724,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X0)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_462,c_301,c_286,c_282,c_262,c_462]) ).
tcf(c_725,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_724]) ).
tcf(c_726,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_464,c_301,c_286,c_282,c_262,c_464]) ).
tcf(c_727,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c0_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_726]) ).
tcf(c_3154,plain,
( hskp21
| hskp22
| ~ c3_1(a587) ),
inference(resolution,[status(thm)],[c_303,c_360]) ).
tcf(c_3164,plain,
( hskp21
| hskp22
| ~ c2_1(a587) ),
inference(resolution,[status(thm)],[c_303,c_359]) ).
tcf(c_3174,plain,
( hskp21
| hskp22
| ~ c0_1(a587) ),
inference(resolution,[status(thm)],[c_303,c_358]) ).
tcf(c_3895,plain,
( hskp12
| hskp14
| c3_1(a563) ),
inference(resolution,[status(thm)],[c_290,c_306]) ).
tcf(c_3905,plain,
( hskp12
| hskp14
| c1_1(a563) ),
inference(resolution,[status(thm)],[c_290,c_305]) ).
tcf(c_3915,plain,
( hskp12
| hskp14
| c0_1(a563) ),
inference(resolution,[status(thm)],[c_290,c_304]) ).
tcf(c_4846,plain,
( hskp16
| hskp31
| ~ c0_1(a551) ),
inference(resolution,[status(thm)],[c_291,c_380]) ).
tcf(c_4856,plain,
( hskp16
| hskp31
| c3_1(a551) ),
inference(resolution,[status(thm)],[c_291,c_340]) ).
tcf(c_4866,plain,
( hskp16
| hskp31
| c1_1(a551) ),
inference(resolution,[status(thm)],[c_291,c_339]) ).
tcf(c_5224,plain,
! [X0: $i] :
( hskp12
| c3_1(X0)
| ~ c1_1(a582)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(resolution,[status(thm)],[c_625,c_363]) ).
tcf(c_5225,plain,
( hskp12
| c3_1(a536)
| ~ c2_1(a536)
| ~ c1_1(a582)
| ~ c0_1(a536) ),
inference(instantiation,[status(thm)],[c_5224]) ).
tcf(c_5258,plain,
! [X0: $i] :
( hskp12
| c2_1(a582)
| c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(resolution,[status(thm)],[c_625,c_323]) ).
tcf(c_5259,plain,
( hskp12
| c2_1(a582)
| c3_1(a536)
| ~ c2_1(a536)
| ~ c0_1(a536) ),
inference(instantiation,[status(thm)],[c_5258]) ).
tcf(c_6677,plain,
( hskp7
| hskp12
| ~ c2_1(a540) ),
inference(resolution,[status(thm)],[c_295,c_391]) ).
tcf(c_6697,plain,
( hskp7
| hskp12
| c3_1(a540) ),
inference(resolution,[status(thm)],[c_295,c_347]) ).
tcf(c_18842,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_727]) ).
tcf(c_18843,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_727]) ).
tcf(c_18844,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_727]) ).
tcf(c_18846,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_725]) ).
tcf(c_18847,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_725]) ).
tcf(c_18850,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_723]) ).
tcf(c_18851,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| ~ c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_723]) ).
tcf(c_18852,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_723]) ).
tcf(c_18853,negated_conjecture,
( iPr_def_18
| iPr_def_17
| iPr_def_16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_723]) ).
tcf(c_18854,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_721]) ).
tcf(c_18855,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_721]) ).
tcf(c_18859,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_22
| c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_716]) ).
tcf(c_18860,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_716]) ).
tcf(c_18861,negated_conjecture,
( iPr_def_23
| iPr_def_22
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_716]) ).
tcf(c_18862,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| ~ c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_714]) ).
tcf(c_18865,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_26
| c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_712]) ).
tcf(c_18866,negated_conjecture,
( iPr_def_26
| iPr_def_24
| iPr_def_14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_712]) ).
tcf(c_18867,negated_conjecture,
( iPr_def_12
| iPr_def_10
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_709]) ).
tcf(c_18868,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_27
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_707]) ).
tcf(c_18869,negated_conjecture,
( iPr_def_27
| iPr_def_13
| hskp12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_707]) ).
tcf(c_18870,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_705]) ).
tcf(c_18871,negated_conjecture,
( iPr_def_28
| iPr_def_27
| hskp23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_705]) ).
tcf(c_18874,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_699]) ).
tcf(c_18875,negated_conjecture,
( iPr_def_29
| iPr_def_12
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_699]) ).
tcf(c_18876,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_30
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_697]) ).
tcf(c_18877,negated_conjecture,
( iPr_def_30
| iPr_def_19
| hskp6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_697]) ).
tcf(c_18878,negated_conjecture,
( iPr_def_28
| iPr_def_13
| hskp31 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_695]) ).
tcf(c_18879,negated_conjecture,
( iPr_def_27
| iPr_def_24
| hskp13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_693]) ).
tcf(c_18880,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_690]) ).
tcf(c_18881,negated_conjecture,
( iPr_def_31
| iPr_def_28
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_690]) ).
tcf(c_18883,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| ~ c1_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_686]) ).
tcf(c_18884,negated_conjecture,
( iPr_def_32
| iPr_def_28
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_686]) ).
tcf(c_18888,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_680]) ).
tcf(c_18890,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_35
| ~ c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_678]) ).
tcf(c_18897,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_38
| ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_670]) ).
tcf(c_18898,negated_conjecture,
( iPr_def_38
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_670]) ).
tcf(c_18901,negated_conjecture,
( iPr_def_28
| iPr_def_20
| hskp6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_664]) ).
tcf(c_18903,negated_conjecture,
( iPr_def_34
| iPr_def_22
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_658]) ).
tcf(c_18909,negated_conjecture,
( iPr_def_12
| hskp10
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_645]) ).
tcf(c_18915,negated_conjecture,
( iPr_def_17
| hskp0
| hskp15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_630]) ).
tcf(c_18924,negated_conjecture,
( iPr_def_26
| hskp11
| hskp29 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_600]) ).
tcf(c_18925,negated_conjecture,
( iPr_def_11
| hskp9
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_597]) ).
tcf(c_18926,negated_conjecture,
( iPr_def_35
| hskp11
| hskp12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_594]) ).
tcf(c_18930,negated_conjecture,
( iPr_def_38
| hskp21
| hskp22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_582]) ).
tcf(c_18931,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_41
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_627]) ).
tcf(c_18932,negated_conjecture,
( iPr_def_41
| hskp3
| hskp6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_627]) ).
tcf(c_18936,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_42
| c1_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_42])],[c_567]) ).
tcf(c_18938,negated_conjecture,
( iPr_def_42
| hskp3
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_564]) ).
tcf(c_18959,plain,
( c3_1(a536)
| ~ iPr_def_18
| ~ c2_1(a536)
| ~ c0_1(a536) ),
inference(instantiation,[status(thm)],[c_18852]) ).
tcf(c_18973,plain,
( ~ iPr_def_12
| ~ c2_1(a582)
| ~ c3_1(a582)
| ~ c0_1(a582) ),
inference(instantiation,[status(thm)],[c_18844]) ).
tcf(c_18975,plain,
( ~ iPr_def_12
| ~ c2_1(a564)
| ~ c3_1(a564)
| ~ c0_1(a564) ),
inference(instantiation,[status(thm)],[c_18844]) ).
tcf(c_18981,plain,
( c0_1(a582)
| ~ iPr_def_13
| ~ c2_1(a582)
| ~ c3_1(a582) ),
inference(instantiation,[status(thm)],[c_18846]) ).
tcf(c_18985,plain,
( c0_1(a551)
| ~ iPr_def_13
| ~ c2_1(a551)
| ~ c3_1(a551) ),
inference(instantiation,[status(thm)],[c_18846]) ).
tcf(c_18986,plain,
( c0_1(a546)
| ~ iPr_def_13
| ~ c2_1(a546)
| ~ c3_1(a546) ),
inference(instantiation,[status(thm)],[c_18846]) ).
tcf(c_18991,plain,
( c2_1(a553)
| c0_1(a553)
| ~ iPr_def_14
| ~ c1_1(a553) ),
inference(instantiation,[status(thm)],[c_18847]) ).
tcf(c_18997,plain,
( c1_1(a564)
| ~ iPr_def_16
| ~ c3_1(a564)
| ~ c0_1(a564) ),
inference(instantiation,[status(thm)],[c_18850]) ).
tcf(c_19008,plain,
( c1_1(a584)
| c0_1(a584)
| ~ iPr_def_22
| ~ c3_1(a584) ),
inference(instantiation,[status(thm)],[c_18859]) ).
tcf(c_19009,plain,
( c1_1(a582)
| c0_1(a582)
| ~ iPr_def_22
| ~ c3_1(a582) ),
inference(instantiation,[status(thm)],[c_18859]) ).
tcf(c_19014,plain,
( c1_1(a546)
| c0_1(a546)
| ~ iPr_def_22
| ~ c3_1(a546) ),
inference(instantiation,[status(thm)],[c_18859]) ).
tcf(c_19022,plain,
( c0_1(a566)
| ~ iPr_def_13
| ~ c2_1(a566)
| ~ c3_1(a566) ),
inference(instantiation,[status(thm)],[c_18846]) ).
tcf(c_19027,plain,
( ~ iPr_def_12
| ~ c2_1(a552)
| ~ c3_1(a552)
| ~ c0_1(a552) ),
inference(instantiation,[status(thm)],[c_18844]) ).
tcf(c_19032,plain,
( c2_1(a584)
| c1_1(a584)
| c0_1(a584)
| ~ iPr_def_34 ),
inference(instantiation,[status(thm)],[c_18888]) ).
tcf(c_19038,plain,
( c2_1(a546)
| c1_1(a546)
| c0_1(a546)
| ~ iPr_def_34 ),
inference(instantiation,[status(thm)],[c_18888]) ).
tcf(c_19044,plain,
( c2_1(a565)
| ~ iPr_def_17
| ~ c3_1(a565)
| ~ c0_1(a565) ),
inference(instantiation,[status(thm)],[c_18851]) ).
tcf(c_19045,plain,
( c2_1(a564)
| ~ iPr_def_17
| ~ c3_1(a564)
| ~ c0_1(a564) ),
inference(instantiation,[status(thm)],[c_18851]) ).
tcf(c_19046,plain,
( c2_1(a553)
| ~ iPr_def_17
| ~ c3_1(a553)
| ~ c0_1(a553) ),
inference(instantiation,[status(thm)],[c_18851]) ).
tcf(c_19049,plain,
( c2_1(a540)
| ~ iPr_def_17
| ~ c3_1(a540)
| ~ c0_1(a540) ),
inference(instantiation,[status(thm)],[c_18851]) ).
tcf(c_19050,plain,
( ~ iPr_def_27
| ~ c2_1(a563)
| ~ c1_1(a563)
| ~ c0_1(a563) ),
inference(instantiation,[status(thm)],[c_18868]) ).
tcf(c_19051,plain,
( ~ iPr_def_10
| ~ c3_1(a563)
| ~ c1_1(a563)
| ~ c0_1(a563) ),
inference(instantiation,[status(thm)],[c_18842]) ).
tcf(c_19066,plain,
( c1_1(a546)
| c0_1(a546)
| ~ iPr_def_23
| ~ c2_1(a546) ),
inference(instantiation,[status(thm)],[c_18860]) ).
tcf(c_19067,plain,
( c1_1(a582)
| c0_1(a582)
| ~ iPr_def_23
| ~ c2_1(a582) ),
inference(instantiation,[status(thm)],[c_18860]) ).
tcf(c_19071,plain,
( c2_1(a587)
| c3_1(a587)
| c0_1(a587)
| ~ iPr_def_20 ),
inference(instantiation,[status(thm)],[c_18855]) ).
tcf(c_19085,plain,
( c2_1(a584)
| c0_1(a584)
| ~ iPr_def_26
| ~ c3_1(a584) ),
inference(instantiation,[status(thm)],[c_18865]) ).
tcf(c_19089,plain,
( c2_1(a540)
| c0_1(a540)
| ~ iPr_def_26
| ~ c3_1(a540) ),
inference(instantiation,[status(thm)],[c_18865]) ).
tcf(c_19104,plain,
( c2_1(a539)
| c1_1(a539)
| ~ iPr_def_35
| ~ c0_1(a539) ),
inference(instantiation,[status(thm)],[c_18890]) ).
tcf(c_19112,plain,
( c3_1(a587)
| c0_1(a587)
| ~ iPr_def_11
| ~ c1_1(a587) ),
inference(instantiation,[status(thm)],[c_18843]) ).
tcf(c_19154,plain,
( c2_1(a567)
| ~ iPr_def_19
| ~ c1_1(a567)
| ~ c0_1(a567) ),
inference(instantiation,[status(thm)],[c_18854]) ).
tcf(c_19158,plain,
( c2_1(a539)
| ~ iPr_def_19
| ~ c1_1(a539)
| ~ c0_1(a539) ),
inference(instantiation,[status(thm)],[c_18854]) ).
tcf(c_19195,plain,
( c2_1(a553)
| c0_1(a553)
| ~ iPr_def_26
| ~ c3_1(a553) ),
inference(instantiation,[status(thm)],[c_18865]) ).
tcf(c_19196,plain,
( c2_1(a549)
| c0_1(a549)
| ~ iPr_def_26
| ~ c3_1(a549) ),
inference(instantiation,[status(thm)],[c_18865]) ).
tcf(c_19201,plain,
( ~ iPr_def_27
| ~ c2_1(a552)
| ~ c1_1(a552)
| ~ c0_1(a552) ),
inference(instantiation,[status(thm)],[c_18868]) ).
tcf(c_19208,plain,
( c1_1(a552)
| ~ iPr_def_28
| ~ c2_1(a552)
| ~ c0_1(a552) ),
inference(instantiation,[status(thm)],[c_18870]) ).
tcf(c_19212,plain,
( c1_1(a564)
| ~ iPr_def_28
| ~ c2_1(a564)
| ~ c0_1(a564) ),
inference(instantiation,[status(thm)],[c_18870]) ).
tcf(c_19258,plain,
( c0_1(a584)
| ~ iPr_def_30
| ~ c3_1(a584)
| ~ c1_1(a584) ),
inference(instantiation,[status(thm)],[c_18876]) ).
tcf(c_19274,plain,
( c3_1(a576)
| c1_1(a576)
| ~ iPr_def_24
| ~ c0_1(a576) ),
inference(instantiation,[status(thm)],[c_18862]) ).
tcf(c_19280,plain,
( c3_1(a539)
| c1_1(a539)
| ~ iPr_def_24
| ~ c0_1(a539) ),
inference(instantiation,[status(thm)],[c_18862]) ).
tcf(c_19295,plain,
( c2_1(a539)
| c3_1(a539)
| ~ iPr_def_38
| ~ c0_1(a539) ),
inference(instantiation,[status(thm)],[c_18897]) ).
tcf(c_19600,plain,
( c1_1(a564)
| ~ iPr_def_31
| ~ c2_1(a564)
| ~ c3_1(a564) ),
inference(instantiation,[status(thm)],[c_18880]) ).
tcf(c_19606,plain,
( c2_1(a563)
| ~ iPr_def_32
| ~ c3_1(a563)
| ~ c1_1(a563) ),
inference(instantiation,[status(thm)],[c_18883]) ).
tcf(c_19614,plain,
( c2_1(a551)
| ~ iPr_def_32
| ~ c3_1(a551)
| ~ c1_1(a551) ),
inference(instantiation,[status(thm)],[c_18883]) ).
tcf(c_19619,plain,
( c2_1(a587)
| c3_1(a587)
| c1_1(a587)
| ~ iPr_def_42 ),
inference(instantiation,[status(thm)],[c_18936]) ).
tcf(c_19622,plain,
( c2_1(a549)
| c3_1(a549)
| c1_1(a549)
| ~ iPr_def_42 ),
inference(instantiation,[status(thm)],[c_18936]) ).
tcf(c_19813,plain,
( c2_1(a570)
| ~ iPr_def_41
| ~ c1_1(a570) ),
inference(instantiation,[status(thm)],[c_18931]) ).
tcf(c_19814,plain,
( c2_1(a567)
| ~ iPr_def_41
| ~ c1_1(a567) ),
inference(instantiation,[status(thm)],[c_18931]) ).
tcf(c_19815,plain,
( c2_1(a553)
| ~ iPr_def_41
| ~ c1_1(a553) ),
inference(instantiation,[status(thm)],[c_18931]) ).
tcf(c_19816,plain,
( c2_1(a551)
| ~ iPr_def_41
| ~ c1_1(a551) ),
inference(instantiation,[status(thm)],[c_18931]) ).
tcf(c_19849,plain,
( c3_1(a547)
| c0_1(a547)
| ~ iPr_def_29
| ~ c2_1(a547) ),
inference(instantiation,[status(thm)],[c_18874]) ).
tcf(c_19889,plain,
( c1_1(a582)
| ~ iPr_def_28
| ~ c2_1(a582)
| ~ c0_1(a582) ),
inference(instantiation,[status(thm)],[c_18870]) ).
tcf(c_19910,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_19889,c_19849,c_19816,c_19815,c_19814,c_19813,c_19622,c_19619,c_19614,c_19606,c_19600,c_19295,c_19280,c_19274,c_19258,c_19212,c_19208,c_19201,c_19196,c_19195,c_19158,c_19154,c_19112,c_19104,c_19089,c_19085,c_19071,c_19067,c_19066,c_19050,c_19051,c_19049,c_19046,c_19045,c_19044,c_19038,c_19032,c_19027,c_19022,c_19014,c_19009,c_19008,c_18997,c_18991,c_18986,c_18985,c_18981,c_18975,c_18973,c_18959,c_18938,c_18932,c_18930,c_18926,c_18925,c_18924,c_18915,c_18909,c_18903,c_18901,c_18884,c_18881,c_18879,c_18878,c_18877,c_18875,c_18871,c_18869,c_18867,c_18866,c_18861,c_18853,c_18898,c_6697,c_6677,c_5259,c_5225,c_4866,c_4856,c_4846,c_3915,c_3905,c_3895,c_3174,c_3164,c_3154,c_500,c_485,c_358,c_359,c_360,c_361,c_362,c_363,c_366,c_367,c_373,c_375,c_376,c_377,c_378,c_379,c_380,c_381,c_382,c_383,c_385,c_386,c_387,c_388,c_392,c_393,c_399,c_304,c_305,c_306,c_310,c_311,c_312,c_322,c_323,c_324,c_326,c_328,c_329,c_330,c_331,c_332,c_333,c_334,c_335,c_336,c_337,c_338,c_339,c_340,c_343,c_344,c_348,c_350,c_351]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN510-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 01:40:34 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.43 Running EPR theorem proving
% 0.14/0.44 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.45
% 0.14/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.45
% 0.14/0.45 % Detected problem language: tptp
% 0.14/0.47 % Proving...
% 4.74/1.78 % SZS status Started for theBenchmark.p
% 4.74/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 4.74/1.78
% 4.74/1.78 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.74/1.78
% 4.74/1.78 % ------ iProver source info
% 4.74/1.78
% 4.74/1.78 % git: date: 2026-07-19 20:42:38 +0200
% 4.74/1.78 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.74/1.78 % git: non_committed_changes: false
% 4.74/1.78
% 4.74/1.78 % ------ Parsing...% successful
% 4.74/1.78
% 4.74/1.78
% 4.74/1.78 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.74/1.78 %
% 4.74/1.78
% 4.74/1.78 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.74/1.78
% 4.74/1.78 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.74/1.78 gs_s sp: 106 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.74/1.78 % ------ Proving...
% 4.74/1.78 % ------ Problem Properties
% 4.74/1.78
% 4.74/1.78 %
% 4.74/1.78 % clauses 208
% 4.74/1.78 % conjectures 208
% 4.74/1.78 % EPR 208
% 4.74/1.78 % Horn 113
% 4.74/1.78 % unary 0
% 4.74/1.78 % binary 97
% 4.74/1.78 % lits 559
% 4.74/1.78 % lits eq 0
% 4.74/1.78 % fd_pure 0
% 4.74/1.78 % fd_pseudo 0
% 4.74/1.78 % fd_cond 0
% 4.74/1.78 % fd_pseudo_cond 0
% 4.74/1.78 % AC symbols 0
% 4.74/1.78
% 4.74/1.78 % ------ Schedule EPR non Horn non eq is on
% 4.74/1.78
% 4.74/1.78 % ------ no equalities: superposition off
% 4.74/1.78
% 4.74/1.78 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.74/1.78
% 4.74/1.78
% 4.74/1.78 % ------
% 4.74/1.78 % Current options:
% 4.74/1.78 % ------
% 4.74/1.78
% 4.74/1.78
% 4.74/1.78 %
% 4.74/1.78
% 4.74/1.78 % ------ Proving...
% 4.74/1.78 %
% 4.74/1.78
% 4.74/1.78 % SZS status Unsatisfiable for theBenchmark.p
% 4.74/1.78
% 4.74/1.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.74/1.79
% 4.74/1.79
%------------------------------------------------------------------------------