%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN454-1 : 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 : n009.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 03:40:18 PM UTC 2026
% Result : Unsatisfiable 4.30s 1.25s
% Output : CNFRefutation 4.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 115
% Syntax : Number of formulae : 483 ( 2 unt; 0 def)
% Number of atoms : 2050 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2613 (1046 ~;1567 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 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 : 62 ( 61 usr; 58 prp; 0-1 aty)
% Number of functors : 23 ( 23 usr; 23 con; 0-0 aty)
% Number of variables : 314 ( 0 sgn 314 !; 0 ?; 243 :)
% Comments :
%------------------------------------------------------------------------------
fof(f16,negated_conjecture,
( ndr1_0
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
fof(f27,negated_conjecture,
( ndr1_0
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
fof(f29,negated_conjecture,
( ndr1_0
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f30,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f34,negated_conjecture,
( hskp2
| hskp14
| hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f35,negated_conjecture,
( hskp0
| hskp29
| hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f36,negated_conjecture,
( hskp8
| hskp3
| hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f38,negated_conjecture,
( hskp11
| hskp12
| hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f39,negated_conjecture,
( hskp3
| hskp1
| hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f43,negated_conjecture,
( c1_1(a165)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( c2_1(a165)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( c3_1(a165)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( c0_1(a142)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( c1_1(a142)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( c3_1(a142)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f59,negated_conjecture,
( c3_1(a149)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f61,negated_conjecture,
( c0_1(a133)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( c3_1(a133)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( c0_1(a127)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( c2_1(a127)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( c0_1(a125)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( c1_1(a125)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( c1_1(a118)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( c1_1(a116)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( c3_1(a116)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( c0_1(a115)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( c0_1(a112)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( c3_1(a112)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( c2_1(a110)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( c3_1(a110)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( c2_1(a109)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( c1_1(a106)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( c3_1(a106)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( c0_1(a105)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( c2_1(a105)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( c0_1(a103)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( c1_1(a102)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( c2_1(a102)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( c3_1(a101)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
fof(f85,negated_conjecture,
( c2_1(a99)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( c1_1(a98)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f87,negated_conjecture,
( c2_1(a97)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( c3_1(a97)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f94,negated_conjecture,
( ~ hskp22
| ~ c0_1(a149) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
fof(f95,negated_conjecture,
( ~ hskp22
| ~ c1_1(a149) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
fof(f98,negated_conjecture,
( ~ hskp20
| ~ c2_1(a133) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f100,negated_conjecture,
( ~ hskp18
| ~ c3_1(a125) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ hskp17
| ~ c0_1(a124) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ hskp17
| ~ c1_1(a124) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ hskp17
| ~ c3_1(a124) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ hskp16
| ~ c2_1(a118) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ hskp16
| ~ c3_1(a118) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ hskp15
| ~ c0_1(a116) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ hskp14
| ~ c2_1(a115) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ hskp14
| ~ c3_1(a115) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ hskp13
| ~ c1_1(a112) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ hskp12
| ~ c0_1(a110) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ hskp11
| ~ c0_1(a109) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f112,negated_conjecture,
( ~ hskp11
| ~ c3_1(a109) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ hskp10
| ~ c2_1(a106) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ hskp9
| ~ c1_1(a105) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ hskp8
| ~ c0_1(a104) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ hskp8
| ~ c2_1(a104) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ hskp8
| ~ c3_1(a104) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ hskp7
| ~ c1_1(a103) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ hskp7
| ~ c3_1(a103) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ hskp6
| ~ c3_1(a102) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ hskp5
| ~ c1_1(a101) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ hskp5
| ~ c2_1(a101) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
fof(f125,negated_conjecture,
( ~ hskp3
| ~ c1_1(a99) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ hskp3
| ~ c3_1(a99) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ hskp2
| ~ c0_1(a98) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ hskp2
| ~ c3_1(a98) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f129,negated_conjecture,
( ~ hskp1
| ~ c1_1(a97) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( ~ hskp0
| ~ c1_1(a96) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f131,negated_conjecture,
( ~ hskp0
| ~ c2_1(a96) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f132,negated_conjecture,
( ~ hskp0
| ~ c3_1(a96) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
fof(f133,negated_conjecture,
! [X0] :
( hskp1
| c3_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f135,negated_conjecture,
! [X0] :
( hskp3
| hskp13
| c3_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
fof(f136,negated_conjecture,
! [X0] :
( hskp3
| hskp2
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
fof(f138,negated_conjecture,
! [X0] :
( hskp13
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f140,negated_conjecture,
! [X0] :
( hskp5
| hskp12
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f141,negated_conjecture,
! [X0] :
( hskp17
| hskp1
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
fof(f143,negated_conjecture,
! [X0] :
( hskp10
| hskp14
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
fof(f144,negated_conjecture,
! [X0] :
( hskp8
| hskp16
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
fof(f145,negated_conjecture,
! [X0] :
( hskp17
| hskp26
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
fof(f146,negated_conjecture,
! [X0] :
( hskp14
| hskp18
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
fof(f147,negated_conjecture,
! [X0] :
( hskp5
| hskp19
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
fof(f149,negated_conjecture,
! [X0] :
( hskp3
| hskp6
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
fof(f150,negated_conjecture,
! [X0] :
( hskp18
| hskp28
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).
fof(f153,negated_conjecture,
! [X0] :
( hskp22
| hskp9
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
fof(f155,negated_conjecture,
! [X0,X1] :
( hskp6
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).
fof(f156,negated_conjecture,
! [X0,X1] :
( hskp0
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
fof(f157,negated_conjecture,
! [X0,X1] :
( hskp9
| c3_1(X1)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f158,negated_conjecture,
! [X0,X1] :
( hskp10
| c3_1(X1)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
fof(f159,negated_conjecture,
! [X0,X1] :
( hskp14
| c2_1(X1)
| c1_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
fof(f160,negated_conjecture,
! [X0,X1] :
( c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
fof(f161,negated_conjecture,
! [X0,X1] :
( hskp7
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f163,negated_conjecture,
! [X0,X1] :
( hskp3
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
fof(f164,negated_conjecture,
! [X0,X1] :
( hskp15
| c2_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
fof(f166,negated_conjecture,
! [X0,X1] :
( hskp5
| c3_1(X1)
| c2_1(X1)
| c3_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
fof(f167,negated_conjecture,
! [X0,X1] :
( hskp1
| c1_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',clause167) ).
fof(f168,negated_conjecture,
! [X0,X1] :
( hskp8
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
fof(f169,negated_conjecture,
! [X0,X1] :
( hskp16
| c1_1(X1)
| c3_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f170,negated_conjecture,
! [X0,X1] :
( hskp8
| 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',clause170) ).
fof(f171,negated_conjecture,
! [X0,X1] :
( hskp1
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
fof(f172,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X1)
| c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X0)
| c2_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f173,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f174,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f175,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c2_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
fof(f176,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c2_1(X1)
| c2_1(X0)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
fof(f177,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
fof(f178,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c2_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
fof(f179,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c2_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f180,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c2_1(X1)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
tcf(c_244,negated_conjecture,
( ndr1_0
| ~ hskp14 ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_255,negated_conjecture,
( ndr1_0
| ~ hskp3 ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_257,negated_conjecture,
( ndr1_0
| ~ hskp1 ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_258,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_262,negated_conjecture,
( hskp2
| hskp9
| hskp14 ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_263,negated_conjecture,
( hskp0
| hskp20
| hskp29 ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_264,negated_conjecture,
( hskp3
| hskp8
| hskp20 ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_266,negated_conjecture,
( hskp11
| hskp12
| hskp14 ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_267,negated_conjecture,
( hskp1
| hskp3
| hskp14 ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_271,negated_conjecture,
( c1_1(a165)
| ~ hskp29 ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_272,negated_conjecture,
( c2_1(a165)
| ~ hskp29 ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_273,negated_conjecture,
( c3_1(a165)
| ~ hskp29 ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_274,negated_conjecture,
( c0_1(a142)
| ~ hskp28 ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_275,negated_conjecture,
( c1_1(a142)
| ~ hskp28 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_276,negated_conjecture,
( c3_1(a142)
| ~ hskp28 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_287,negated_conjecture,
( c3_1(a149)
| ~ hskp22 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_289,negated_conjecture,
( c0_1(a133)
| ~ hskp20 ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_290,negated_conjecture,
( c3_1(a133)
| ~ hskp20 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_291,negated_conjecture,
( c0_1(a127)
| ~ hskp19 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_292,negated_conjecture,
( c2_1(a127)
| ~ hskp19 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_293,negated_conjecture,
( c0_1(a125)
| ~ hskp18 ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_294,negated_conjecture,
( c1_1(a125)
| ~ hskp18 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_295,negated_conjecture,
( c1_1(a118)
| ~ hskp16 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_296,negated_conjecture,
( c1_1(a116)
| ~ hskp15 ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_297,negated_conjecture,
( c3_1(a116)
| ~ hskp15 ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_298,negated_conjecture,
( c0_1(a115)
| ~ hskp14 ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_299,negated_conjecture,
( c0_1(a112)
| ~ hskp13 ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_300,negated_conjecture,
( c3_1(a112)
| ~ hskp13 ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_301,negated_conjecture,
( c2_1(a110)
| ~ hskp12 ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_302,negated_conjecture,
( c3_1(a110)
| ~ hskp12 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_303,negated_conjecture,
( c2_1(a109)
| ~ hskp11 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_304,negated_conjecture,
( c1_1(a106)
| ~ hskp10 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_305,negated_conjecture,
( c3_1(a106)
| ~ hskp10 ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_306,negated_conjecture,
( c0_1(a105)
| ~ hskp9 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_307,negated_conjecture,
( c2_1(a105)
| ~ hskp9 ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_308,negated_conjecture,
( c0_1(a103)
| ~ hskp7 ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_309,negated_conjecture,
( c1_1(a102)
| ~ hskp6 ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_310,negated_conjecture,
( c2_1(a102)
| ~ hskp6 ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_311,negated_conjecture,
( c3_1(a101)
| ~ hskp5 ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_313,negated_conjecture,
( c2_1(a99)
| ~ hskp3 ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_314,negated_conjecture,
( c1_1(a98)
| ~ hskp2 ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_315,negated_conjecture,
( c2_1(a97)
| ~ hskp1 ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_316,negated_conjecture,
( c3_1(a97)
| ~ hskp1 ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_322,negated_conjecture,
( ~ hskp22
| ~ c0_1(a149) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_323,negated_conjecture,
( ~ hskp22
| ~ c1_1(a149) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_326,negated_conjecture,
( ~ hskp20
| ~ c2_1(a133) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_328,negated_conjecture,
( ~ hskp18
| ~ c3_1(a125) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_329,negated_conjecture,
( ~ hskp17
| ~ c0_1(a124) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_330,negated_conjecture,
( ~ hskp17
| ~ c1_1(a124) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_331,negated_conjecture,
( ~ hskp17
| ~ c3_1(a124) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_332,negated_conjecture,
( ~ hskp16
| ~ c2_1(a118) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_333,negated_conjecture,
( ~ hskp16
| ~ c3_1(a118) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_334,negated_conjecture,
( ~ hskp15
| ~ c0_1(a116) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_335,negated_conjecture,
( ~ hskp14
| ~ c2_1(a115) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_336,negated_conjecture,
( ~ hskp14
| ~ c3_1(a115) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_337,negated_conjecture,
( ~ hskp13
| ~ c1_1(a112) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_338,negated_conjecture,
( ~ hskp12
| ~ c0_1(a110) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_339,negated_conjecture,
( ~ hskp11
| ~ c0_1(a109) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_340,negated_conjecture,
( ~ hskp11
| ~ c3_1(a109) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_341,negated_conjecture,
( ~ hskp10
| ~ c2_1(a106) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_342,negated_conjecture,
( ~ hskp9
| ~ c1_1(a105) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_343,negated_conjecture,
( ~ hskp8
| ~ c0_1(a104) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_344,negated_conjecture,
( ~ hskp8
| ~ c2_1(a104) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_345,negated_conjecture,
( ~ hskp8
| ~ c3_1(a104) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_346,negated_conjecture,
( ~ hskp7
| ~ c1_1(a103) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_347,negated_conjecture,
( ~ hskp7
| ~ c3_1(a103) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_348,negated_conjecture,
( ~ hskp6
| ~ c3_1(a102) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_349,negated_conjecture,
( ~ hskp5
| ~ c1_1(a101) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_350,negated_conjecture,
( ~ hskp5
| ~ c2_1(a101) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_353,negated_conjecture,
( ~ hskp3
| ~ c1_1(a99) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_354,negated_conjecture,
( ~ hskp3
| ~ c3_1(a99) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_355,negated_conjecture,
( ~ hskp2
| ~ c0_1(a98) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_356,negated_conjecture,
( ~ hskp2
| ~ c3_1(a98) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_357,negated_conjecture,
( ~ hskp1
| ~ c1_1(a97) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_358,negated_conjecture,
( ~ hskp0
| ~ c1_1(a96) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_359,negated_conjecture,
( ~ hskp0
| ~ c2_1(a96) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_360,negated_conjecture,
( ~ hskp0
| ~ c3_1(a96) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_361,negated_conjecture,
! [X0: $i] :
( hskp1
| c3_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_363,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp13
| c3_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_364,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp3
| c0_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_366,negated_conjecture,
! [X0: $i] :
( hskp13
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_368,negated_conjecture,
! [X0: $i] :
( hskp5
| hskp12
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_369,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp17
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_371,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp14
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_372,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp16
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_373,negated_conjecture,
! [X0: $i] :
( hskp17
| hskp26
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_374,negated_conjecture,
! [X0: $i] :
( hskp14
| hskp18
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_375,negated_conjecture,
! [X0: $i] :
( hskp5
| hskp19
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_377,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp6
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_378,negated_conjecture,
! [X0: $i] :
( hskp18
| hskp28
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_381,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp22
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_383,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c0_1(X1)
| c0_1(X0)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_384,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c0_1(X1)
| c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_385,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c0_1(X0)
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_386,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c0_1(X1)
| c3_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_387,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_388,negated_conjecture,
! [X0: $i,X1: $i] :
( c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_389,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c0_1(X1)
| c0_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_391,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_392,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp15
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_394,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_395,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_396,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c0_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_397,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c3_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_398,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_399,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c0_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_400,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_401,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c0_1(X0)
| c3_1(X1)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_402,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c0_1(X0)
| c3_1(X2)
| c2_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_403,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_404,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c3_1(X1)
| c2_1(X2)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_405,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| c3_1(X2)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_406,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_407,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c2_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_408,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_437,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_258,c_267,c_257,c_255,c_244]) ).
tcf(c_497,negated_conjecture,
! [X0: $i] :
( hskp1
| c3_1(X0)
| c2_1(X0)
| c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_361,c_267,c_257,c_255,c_244,c_361]) ).
tcf(c_500,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp13
| c3_1(X0)
| c2_1(X0)
| c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_363,c_267,c_257,c_255,c_244,c_363]) ).
tcf(c_506,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp17
| c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_369,c_267,c_257,c_255,c_244,c_369]) ).
tcf(c_509,negated_conjecture,
! [X0: $i] :
( hskp5
| hskp12
| c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_368,c_267,c_257,c_255,c_244,c_368]) ).
tcf(c_515,plain,
! [X0: $i] :
( hskp13
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_366,c_267,c_257,c_255,c_244,c_366]) ).
tcf(c_516,negated_conjecture,
! [X0: $i] :
( hskp13
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_515]) ).
tcf(c_521,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp3
| c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_364,c_267,c_257,c_255,c_244,c_364]) ).
tcf(c_527,plain,
! [X0: $i] :
( hskp18
| hskp28
| c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_378,c_267,c_257,c_255,c_244,c_378]) ).
tcf(c_528,negated_conjecture,
! [X0: $i] :
( hskp18
| hskp28
| c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_527]) ).
tcf(c_530,plain,
! [X0: $i] :
( hskp3
| hskp6
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_377,c_267,c_257,c_255,c_244,c_377]) ).
tcf(c_531,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp6
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_530]) ).
tcf(c_536,plain,
! [X0: $i] :
( hskp5
| hskp19
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_375,c_267,c_257,c_255,c_244,c_375]) ).
tcf(c_537,negated_conjecture,
! [X0: $i] :
( hskp5
| hskp19
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_536]) ).
tcf(c_539,plain,
! [X0: $i] :
( hskp14
| hskp18
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_374,c_267,c_257,c_255,c_244,c_374]) ).
tcf(c_540,negated_conjecture,
! [X0: $i] :
( hskp14
| hskp18
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_539]) ).
tcf(c_542,plain,
! [X0: $i] :
( hskp17
| hskp26
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_373,c_267,c_257,c_255,c_244,c_373]) ).
tcf(c_543,negated_conjecture,
! [X0: $i] :
( hskp17
| hskp26
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_542]) ).
tcf(c_545,plain,
! [X0: $i] :
( hskp8
| hskp16
| c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_372,c_267,c_257,c_255,c_244,c_372]) ).
tcf(c_546,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp16
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_545]) ).
tcf(c_548,plain,
! [X0: $i] :
( hskp10
| hskp14
| c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_371,c_267,c_257,c_255,c_244,c_371]) ).
tcf(c_549,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp14
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_548]) ).
tcf(c_557,plain,
! [X0: $i] :
( hskp9
| hskp22
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_381,c_267,c_257,c_255,c_244,c_381]) ).
tcf(c_558,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp22
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_557]) ).
tcf(c_563,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c0_1(X1)
| c0_1(X0)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_383,c_267,c_257,c_255,c_244,c_383]) ).
tcf(c_566,plain,
! [X0: $i,X1: $i] :
( c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_388,c_267,c_257,c_255,c_244,c_388]) ).
tcf(c_567,negated_conjecture,
! [X0: $i,X1: $i] :
( c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_566]) ).
tcf(c_569,plain,
! [X0: $i,X1: $i] :
( hskp14
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_387,c_267,c_257,c_255,c_244,c_387]) ).
tcf(c_570,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_569]) ).
tcf(c_572,plain,
! [X0: $i,X1: $i] :
( hskp10
| c0_1(X1)
| c3_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_386,c_267,c_257,c_255,c_244,c_386]) ).
tcf(c_573,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c0_1(X1)
| c3_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_572]) ).
tcf(c_575,plain,
! [X0: $i,X1: $i] :
( hskp9
| c0_1(X0)
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_385,c_267,c_257,c_255,c_244,c_385]) ).
tcf(c_576,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c0_1(X0)
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| ~ c0_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_575]) ).
tcf(c_577,plain,
! [X0: $i,X1: $i] :
( hskp0
| c0_1(X1)
| c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_384,c_267,c_257,c_255,c_244,c_384]) ).
tcf(c_578,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c0_1(X1)
| c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_577]) ).
tcf(c_579,plain,
! [X0: $i,X1: $i] :
( hskp5
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_394,c_267,c_257,c_255,c_244,c_394]) ).
tcf(c_580,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_579]) ).
tcf(c_583,plain,
! [X0: $i,X1: $i] :
( hskp15
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_392,c_267,c_257,c_255,c_244,c_392]) ).
tcf(c_584,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp15
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_583]) ).
tcf(c_586,plain,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_391,c_267,c_257,c_255,c_244,c_391]) ).
tcf(c_587,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_586]) ).
tcf(c_590,plain,
! [X0: $i,X1: $i] :
( hskp7
| c0_1(X1)
| c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_389,c_267,c_257,c_255,c_244,c_389]) ).
tcf(c_591,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c0_1(X1)
| c0_1(X0)
| c2_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_590]) ).
tcf(c_592,plain,
! [X0: $i,X1: $i] :
( hskp8
| c3_1(X1)
| c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_398,c_267,c_257,c_255,c_244,c_398]) ).
tcf(c_593,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_592]) ).
tcf(c_594,plain,
! [X0: $i,X1: $i] :
( hskp16
| c3_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_397,c_397,c_437]) ).
tcf(c_595,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c3_1(X0)
| c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_594]) ).
tcf(c_596,plain,
! [X0: $i,X1: $i] :
( hskp8
| c0_1(X1)
| c2_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_396,c_267,c_257,c_255,c_244,c_396]) ).
tcf(c_597,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c0_1(X1)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_596]) ).
tcf(c_598,plain,
! [X0: $i,X1: $i] :
( hskp1
| c0_1(X1)
| c1_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_395,c_267,c_257,c_255,c_244,c_395]) ).
tcf(c_599,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c0_1(X1)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_598]) ).
tcf(c_600,plain,
! [X0: $i,X1: $i] :
( hskp1
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_399,c_267,c_257,c_255,c_244,c_399]) ).
tcf(c_601,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_600]) ).
tcf(c_602,plain,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| ~ c1_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_400,c_267,c_257,c_255,c_244,c_400]) ).
tcf(c_603,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_602]) ).
tcf(c_604,plain,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c0_1(X0)
| c3_1(X1)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_401,c_267,c_257,c_255,c_244,c_401]) ).
tcf(c_605,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c0_1(X0)
| c3_1(X1)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_604]) ).
tcf(c_606,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_403,c_267,c_257,c_255,c_244,c_403]) ).
tcf(c_607,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_606]) ).
tcf(c_608,plain,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c0_1(X0)
| c3_1(X2)
| c2_1(X1)
| c1_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_402,c_267,c_257,c_255,c_244,c_402]) ).
tcf(c_609,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c0_1(X0)
| c3_1(X2)
| c2_1(X1)
| c1_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_608]) ).
tcf(c_610,plain,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| c3_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_405,c_267,c_257,c_255,c_244,c_405]) ).
tcf(c_611,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_610]) ).
tcf(c_612,plain,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c3_1(X1)
| c2_1(X2)
| c2_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2)
| ~ c0_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_404,c_267,c_257,c_255,c_244,c_404]) ).
tcf(c_613,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c3_1(X1)
| c2_1(X2)
| c2_1(X0)
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_612]) ).
tcf(c_614,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_406,c_267,c_257,c_255,c_244,c_406]) ).
tcf(c_615,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_614]) ).
tcf(c_616,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_408,c_267,c_257,c_255,c_244,c_408]) ).
tcf(c_617,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| ~ c0_1(X2)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_616]) ).
tcf(c_619,plain,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c2_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_407,c_267,c_257,c_255,c_244,c_407]) ).
tcf(c_620,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c2_1(X2)
| ~ c0_1(X2)
| ~ c0_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_619]) ).
tcf(c_1486,plain,
! [X0: $i,X1: $i] :
( hskp1
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_599,c_601]) ).
tcf(c_1622,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_615,c_617]) ).
tcf(c_1905,plain,
( hskp0
| hskp20
| c3_1(a165) ),
inference(resolution,[status(thm)],[c_263,c_273]) ).
tcf(c_1915,plain,
( hskp0
| hskp20
| c2_1(a165) ),
inference(resolution,[status(thm)],[c_263,c_272]) ).
tcf(c_1925,plain,
( hskp0
| hskp20
| c1_1(a165) ),
inference(resolution,[status(thm)],[c_263,c_271]) ).
tcf(c_2301,plain,
( hskp9
| hskp14
| ~ c3_1(a98) ),
inference(resolution,[status(thm)],[c_262,c_356]) ).
tcf(c_2311,plain,
( hskp9
| hskp14
| ~ c0_1(a98) ),
inference(resolution,[status(thm)],[c_262,c_355]) ).
tcf(c_2321,plain,
( hskp9
| hskp14
| c1_1(a98) ),
inference(resolution,[status(thm)],[c_262,c_314]) ).
tcf(c_2933,plain,
( hskp3
| hskp8
| ~ c2_1(a133) ),
inference(resolution,[status(thm)],[c_264,c_326]) ).
tcf(c_2943,plain,
( hskp3
| hskp8
| c3_1(a133) ),
inference(resolution,[status(thm)],[c_264,c_290]) ).
tcf(c_2953,plain,
( hskp3
| hskp8
| c0_1(a133) ),
inference(resolution,[status(thm)],[c_264,c_289]) ).
tcf(c_3107,plain,
( hskp12
| hskp14
| ~ c3_1(a109) ),
inference(resolution,[status(thm)],[c_266,c_340]) ).
tcf(c_3117,plain,
( hskp12
| hskp14
| ~ c0_1(a109) ),
inference(resolution,[status(thm)],[c_266,c_339]) ).
tcf(c_3127,plain,
( hskp12
| hskp14
| c2_1(a109) ),
inference(resolution,[status(thm)],[c_266,c_303]) ).
tcf(c_3602,plain,
( hskp2
| hskp14
| ~ c1_1(a105) ),
inference(resolution,[status(thm)],[c_262,c_342]) ).
tcf(c_3612,plain,
( hskp2
| hskp14
| c2_1(a105) ),
inference(resolution,[status(thm)],[c_262,c_307]) ).
tcf(c_3622,plain,
( hskp2
| hskp14
| c0_1(a105) ),
inference(resolution,[status(thm)],[c_262,c_306]) ).
tcf(c_6905,plain,
( hskp1
| hskp14
| ~ c3_1(a99) ),
inference(resolution,[status(thm)],[c_267,c_354]) ).
tcf(c_6915,plain,
( hskp1
| hskp14
| ~ c1_1(a99) ),
inference(resolution,[status(thm)],[c_267,c_353]) ).
tcf(c_6925,plain,
( hskp1
| hskp14
| c2_1(a99) ),
inference(resolution,[status(thm)],[c_267,c_313]) ).
tcf(c_6955,plain,
( hskp8
| hskp20
| c2_1(a99) ),
inference(resolution,[status(thm)],[c_264,c_313]) ).
tcf(c_13984,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_1622]) ).
tcf(c_13985,plain,
! [X0: $i] :
( ~ iPr_def_11
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_1622]) ).
tcf(c_13986,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_1622]) ).
tcf(c_13987,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1622]) ).
tcf(c_13988,plain,
! [X0: $i] :
( ~ iPr_def_13
| ~ c2_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_1486]) ).
tcf(c_13989,plain,
! [X0: $i] :
( ~ iPr_def_14
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_1486]) ).
tcf(c_13990,plain,
( iPr_def_14
| iPr_def_13
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1486]) ).
tcf(c_13991,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_620]) ).
tcf(c_13992,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| ~ c1_1(X0)
| ~ c2_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_620]) ).
tcf(c_13993,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_620]) ).
tcf(c_13994,negated_conjecture,
( iPr_def_17
| iPr_def_16
| iPr_def_15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_620]) ).
tcf(c_13995,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| ~ c1_1(X0)
| c3_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_613]) ).
tcf(c_13996,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_613]) ).
tcf(c_13997,negated_conjecture,
( iPr_def_19
| iPr_def_18
| iPr_def_15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_613]) ).
tcf(c_13998,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| ~ c2_1(X0)
| c3_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_611]) ).
tcf(c_13999,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| ~ c1_1(X0)
| ~ c3_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_611]) ).
tcf(c_14000,negated_conjecture,
( iPr_def_21
| iPr_def_20
| iPr_def_16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_611]) ).
tcf(c_14001,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_22
| c1_1(X0)
| c3_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_609]) ).
tcf(c_14002,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_23
| c2_1(X0)
| ~ c3_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_609]) ).
tcf(c_14003,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| ~ c2_1(X0)
| ~ c3_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_609]) ).
tcf(c_14004,negated_conjecture,
( iPr_def_24
| iPr_def_23
| iPr_def_22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_609]) ).
tcf(c_14005,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_607]) ).
tcf(c_14006,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_26
| c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_607]) ).
tcf(c_14007,negated_conjecture,
( iPr_def_26
| iPr_def_25
| iPr_def_19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_607]) ).
tcf(c_14008,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_27
| c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_605]) ).
tcf(c_14009,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| c1_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_605]) ).
tcf(c_14010,negated_conjecture,
( iPr_def_28
| iPr_def_27
| iPr_def_21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_605]) ).
tcf(c_14011,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| c1_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_603]) ).
tcf(c_14012,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_30
| ~ c1_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_603]) ).
tcf(c_14013,negated_conjecture,
( iPr_def_30
| iPr_def_29
| iPr_def_20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_603]) ).
tcf(c_14014,negated_conjecture,
( iPr_def_23
| iPr_def_12
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_597]) ).
tcf(c_14015,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_595]) ).
tcf(c_14016,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| ~ c1_1(X0)
| c3_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_595]) ).
tcf(c_14017,negated_conjecture,
( iPr_def_32
| iPr_def_31
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_595]) ).
tcf(c_14018,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_33
| c2_1(X0)
| c3_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_593]) ).
tcf(c_14019,negated_conjecture,
( iPr_def_33
| iPr_def_14
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_593]) ).
tcf(c_14020,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_34
| ~ c1_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_591]) ).
tcf(c_14021,negated_conjecture,
( iPr_def_34
| iPr_def_24
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_591]) ).
tcf(c_14023,negated_conjecture,
( iPr_def_29
| iPr_def_14
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_587]) ).
tcf(c_14024,negated_conjecture,
( iPr_def_26
| iPr_def_15
| hskp15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_584]) ).
tcf(c_14026,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_35
| ~ c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_580]) ).
tcf(c_14027,negated_conjecture,
( iPr_def_35
| iPr_def_30
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_580]) ).
tcf(c_14028,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_36
| c1_1(X0)
| c3_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_578]) ).
tcf(c_14029,negated_conjecture,
( iPr_def_36
| iPr_def_10
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_578]) ).
tcf(c_14030,negated_conjecture,
( iPr_def_33
| iPr_def_18
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_576]) ).
tcf(c_14031,negated_conjecture,
( iPr_def_27
| iPr_def_20
| hskp10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_573]) ).
tcf(c_14032,negated_conjecture,
( iPr_def_26
| iPr_def_25
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_570]) ).
tcf(c_14033,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_37
| c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_567]) ).
tcf(c_14034,negated_conjecture,
( iPr_def_37
| iPr_def_22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_567]) ).
tcf(c_14035,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_38
| c2_1(X0)
| c3_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_563]) ).
tcf(c_14036,negated_conjecture,
( iPr_def_38
| iPr_def_34
| hskp6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_563]) ).
tcf(c_14038,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_39
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_558]) ).
tcf(c_14039,negated_conjecture,
( iPr_def_39
| hskp9
| hskp22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_558]) ).
tcf(c_14042,negated_conjecture,
( iPr_def_31
| hskp10
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_549]) ).
tcf(c_14043,negated_conjecture,
( iPr_def_31
| hskp8
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_546]) ).
tcf(c_14044,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_40
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_543]) ).
tcf(c_14046,negated_conjecture,
( iPr_def_40
| hskp14
| hskp18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_540]) ).
tcf(c_14047,negated_conjecture,
( iPr_def_40
| hskp5
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_537]) ).
tcf(c_14049,negated_conjecture,
( iPr_def_10
| hskp3
| hskp6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_531]) ).
tcf(c_14050,negated_conjecture,
( iPr_def_35
| hskp18
| hskp28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_528]) ).
tcf(c_14052,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_41
| c1_1(X0)
| ~ c3_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_521]) ).
tcf(c_14053,negated_conjecture,
( iPr_def_41
| hskp2
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_521]) ).
tcf(c_14056,negated_conjecture,
( iPr_def_33
| hskp5
| hskp12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_509]) ).
tcf(c_14057,negated_conjecture,
( iPr_def_33
| hskp1
| hskp17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_506]) ).
tcf(c_14059,negated_conjecture,
( iPr_def_29
| hskp3
| hskp13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_500]) ).
tcf(c_14093,plain,
( c2_1(a112)
| ~ iPr_def_15
| ~ c0_1(a112)
| ~ c3_1(a112) ),
inference(instantiation,[status(thm)],[c_13991]) ).
tcf(c_14095,plain,
( c2_1(a106)
| ~ iPr_def_15
| ~ c0_1(a106)
| ~ c3_1(a106) ),
inference(instantiation,[status(thm)],[c_13991]) ).
tcf(c_14096,plain,
( c2_1(a101)
| ~ iPr_def_15
| ~ c0_1(a101)
| ~ c3_1(a101) ),
inference(instantiation,[status(thm)],[c_13991]) ).
tcf(c_14101,plain,
( c2_1(a106)
| ~ iPr_def_19
| ~ c3_1(a106)
| ~ c1_1(a106) ),
inference(instantiation,[status(thm)],[c_13996]) ).
tcf(c_14106,plain,
( c0_1(a109)
| c3_1(a109)
| ~ iPr_def_20
| ~ c2_1(a109) ),
inference(instantiation,[status(thm)],[c_13998]) ).
tcf(c_14109,plain,
( c0_1(a99)
| c3_1(a99)
| ~ iPr_def_20
| ~ c2_1(a99) ),
inference(instantiation,[status(thm)],[c_13998]) ).
tcf(c_14114,plain,
( c0_1(a106)
| ~ iPr_def_21
| ~ c3_1(a106)
| ~ c1_1(a106) ),
inference(instantiation,[status(thm)],[c_13999]) ).
tcf(c_14119,plain,
( c3_1(a115)
| c1_1(a115)
| ~ iPr_def_22
| ~ c0_1(a115) ),
inference(instantiation,[status(thm)],[c_14001]) ).
tcf(c_14121,plain,
( c3_1(a105)
| c1_1(a105)
| ~ iPr_def_22
| ~ c0_1(a105) ),
inference(instantiation,[status(thm)],[c_14001]) ).
tcf(c_14122,plain,
( c3_1(a103)
| c1_1(a103)
| ~ iPr_def_22
| ~ c0_1(a103) ),
inference(instantiation,[status(thm)],[c_14001]) ).
tcf(c_14134,plain,
( c0_1(a104)
| c3_1(a104)
| ~ iPr_def_18
| ~ c1_1(a104) ),
inference(instantiation,[status(thm)],[c_13995]) ).
tcf(c_14135,plain,
( c0_1(a98)
| c3_1(a98)
| ~ iPr_def_18
| ~ c1_1(a98) ),
inference(instantiation,[status(thm)],[c_13995]) ).
tcf(c_14140,plain,
( c2_1(a112)
| c1_1(a112)
| ~ iPr_def_25
| ~ c3_1(a112) ),
inference(instantiation,[status(thm)],[c_14005]) ).
tcf(c_14143,plain,
( c2_1(a101)
| c1_1(a101)
| ~ iPr_def_25
| ~ c3_1(a101) ),
inference(instantiation,[status(thm)],[c_14005]) ).
tcf(c_14148,plain,
( c0_1(a106)
| c2_1(a106)
| ~ iPr_def_23
| ~ c3_1(a106) ),
inference(instantiation,[status(thm)],[c_14002]) ).
tcf(c_14149,plain,
( c0_1(a101)
| c2_1(a101)
| ~ iPr_def_23
| ~ c3_1(a101) ),
inference(instantiation,[status(thm)],[c_14002]) ).
tcf(c_14154,plain,
( c1_1(a105)
| ~ iPr_def_37
| ~ c0_1(a105)
| ~ c2_1(a105) ),
inference(instantiation,[status(thm)],[c_14033]) ).
tcf(c_14156,plain,
( c1_1(a99)
| ~ iPr_def_37
| ~ c0_1(a99)
| ~ c2_1(a99) ),
inference(instantiation,[status(thm)],[c_14033]) ).
tcf(c_14157,plain,
( c1_1(a97)
| ~ iPr_def_37
| ~ c0_1(a97)
| ~ c2_1(a97) ),
inference(instantiation,[status(thm)],[c_14033]) ).
tcf(c_14158,plain,
( c0_1(a116)
| c2_1(a116)
| ~ iPr_def_23
| ~ c3_1(a116) ),
inference(instantiation,[status(thm)],[c_14002]) ).
tcf(c_14164,plain,
( c0_1(a109)
| ~ iPr_def_16
| ~ c2_1(a109)
| ~ c1_1(a109) ),
inference(instantiation,[status(thm)],[c_13992]) ).
tcf(c_14167,plain,
( c0_1(a99)
| ~ iPr_def_16
| ~ c2_1(a99)
| ~ c1_1(a99) ),
inference(instantiation,[status(thm)],[c_13992]) ).
tcf(c_14171,plain,
( c3_1(a109)
| c1_1(a109)
| ~ iPr_def_27
| ~ c2_1(a109) ),
inference(instantiation,[status(thm)],[c_14008]) ).
tcf(c_14174,plain,
( c3_1(a99)
| c1_1(a99)
| ~ iPr_def_27
| ~ c2_1(a99) ),
inference(instantiation,[status(thm)],[c_14008]) ).
tcf(c_14183,plain,
( c3_1(a96)
| c2_1(a96)
| c1_1(a96)
| ~ iPr_def_29 ),
inference(instantiation,[status(thm)],[c_14011]) ).
tcf(c_14189,plain,
( c2_1(a101)
| ~ iPr_def_11
| ~ c3_1(a101) ),
inference(instantiation,[status(thm)],[c_13985]) ).
tcf(c_14198,plain,
( c3_1(a115)
| c2_1(a115)
| c1_1(a115)
| ~ iPr_def_29 ),
inference(instantiation,[status(thm)],[c_14011]) ).
tcf(c_14200,plain,
( c3_1(a104)
| c2_1(a104)
| c1_1(a104)
| ~ iPr_def_29 ),
inference(instantiation,[status(thm)],[c_14011]) ).
tcf(c_14220,plain,
( c0_1(a101)
| c1_1(a101)
| ~ iPr_def_41
| ~ c3_1(a101) ),
inference(instantiation,[status(thm)],[c_14052]) ).
tcf(c_14221,plain,
( c0_1(a97)
| c1_1(a97)
| ~ iPr_def_41
| ~ c3_1(a97) ),
inference(instantiation,[status(thm)],[c_14052]) ).
tcf(c_14224,plain,
( c2_1(a116)
| ~ iPr_def_19
| ~ c3_1(a116)
| ~ c1_1(a116) ),
inference(instantiation,[status(thm)],[c_13996]) ).
tcf(c_14244,plain,
( c0_1(a118)
| c3_1(a118)
| ~ iPr_def_18
| ~ c1_1(a118) ),
inference(instantiation,[status(thm)],[c_13995]) ).
tcf(c_14250,plain,
( c0_1(a98)
| ~ iPr_def_16
| ~ c2_1(a98)
| ~ c1_1(a98) ),
inference(instantiation,[status(thm)],[c_13992]) ).
tcf(c_14252,plain,
( c0_1(a98)
| c3_1(a98)
| ~ iPr_def_20
| ~ c2_1(a98) ),
inference(instantiation,[status(thm)],[c_13998]) ).
tcf(c_14256,plain,
( c1_1(a127)
| ~ iPr_def_37
| ~ c0_1(a127)
| ~ c2_1(a127) ),
inference(instantiation,[status(thm)],[c_14033]) ).
tcf(c_14260,plain,
( c3_1(a125)
| c2_1(a125)
| ~ iPr_def_30
| ~ c1_1(a125) ),
inference(instantiation,[status(thm)],[c_14012]) ).
tcf(c_14261,plain,
( c3_1(a118)
| c2_1(a118)
| ~ iPr_def_30
| ~ c1_1(a118) ),
inference(instantiation,[status(thm)],[c_14012]) ).
tcf(c_14264,plain,
( c3_1(a98)
| c2_1(a98)
| ~ iPr_def_30
| ~ c1_1(a98) ),
inference(instantiation,[status(thm)],[c_14012]) ).
tcf(c_14281,plain,
( c0_1(a149)
| c1_1(a149)
| ~ iPr_def_41
| ~ c3_1(a149) ),
inference(instantiation,[status(thm)],[c_14052]) ).
tcf(c_14292,plain,
( c0_1(a116)
| ~ iPr_def_16
| ~ c2_1(a116)
| ~ c1_1(a116) ),
inference(instantiation,[status(thm)],[c_13992]) ).
tcf(c_14316,plain,
( c3_1(a124)
| c1_1(a124)
| ~ iPr_def_27
| ~ c2_1(a124) ),
inference(instantiation,[status(thm)],[c_14008]) ).
tcf(c_14319,plain,
( c0_1(a124)
| c3_1(a124)
| ~ iPr_def_20
| ~ c2_1(a124) ),
inference(instantiation,[status(thm)],[c_13998]) ).
tcf(c_14345,plain,
( c3_1(a102)
| ~ iPr_def_35
| ~ c2_1(a102)
| ~ c1_1(a102) ),
inference(instantiation,[status(thm)],[c_14026]) ).
tcf(c_14346,plain,
( c3_1(a99)
| ~ iPr_def_35
| ~ c2_1(a99)
| ~ c1_1(a99) ),
inference(instantiation,[status(thm)],[c_14026]) ).
tcf(c_14355,plain,
( hskp1
| c3_1(a115)
| c2_1(a115)
| c1_1(a115) ),
inference(instantiation,[status(thm)],[c_497]) ).
tcf(c_14356,plain,
( hskp1
| c3_1(a104)
| c2_1(a104)
| c1_1(a104) ),
inference(instantiation,[status(thm)],[c_497]) ).
tcf(c_14363,plain,
( c3_1(a125)
| c2_1(a125)
| ~ iPr_def_33
| ~ c0_1(a125) ),
inference(instantiation,[status(thm)],[c_14018]) ).
tcf(c_14364,plain,
( c3_1(a118)
| c2_1(a118)
| ~ iPr_def_33
| ~ c0_1(a118) ),
inference(instantiation,[status(thm)],[c_14018]) ).
tcf(c_14365,plain,
( c3_1(a115)
| c2_1(a115)
| ~ iPr_def_33
| ~ c0_1(a115) ),
inference(instantiation,[status(thm)],[c_14018]) ).
tcf(c_14374,plain,
( c2_1(a133)
| c1_1(a133)
| ~ iPr_def_26
| ~ c0_1(a133) ),
inference(instantiation,[status(thm)],[c_14006]) ).
tcf(c_14377,plain,
( c2_1(a115)
| c1_1(a115)
| ~ iPr_def_26
| ~ c0_1(a115) ),
inference(instantiation,[status(thm)],[c_14006]) ).
tcf(c_14378,plain,
( c2_1(a112)
| c1_1(a112)
| ~ iPr_def_26
| ~ c0_1(a112) ),
inference(instantiation,[status(thm)],[c_14006]) ).
tcf(c_14382,plain,
( c2_1(a99)
| c1_1(a99)
| ~ iPr_def_26
| ~ c0_1(a99) ),
inference(instantiation,[status(thm)],[c_14006]) ).
tcf(c_14389,plain,
( c0_1(a102)
| c3_1(a102)
| ~ iPr_def_18
| ~ c1_1(a102) ),
inference(instantiation,[status(thm)],[c_13995]) ).
tcf(c_14390,plain,
( c0_1(a99)
| c3_1(a99)
| ~ iPr_def_18
| ~ c1_1(a99) ),
inference(instantiation,[status(thm)],[c_13995]) ).
tcf(c_14401,plain,
( c0_1(a110)
| ~ iPr_def_24
| ~ c3_1(a110)
| ~ c2_1(a110) ),
inference(instantiation,[status(thm)],[c_14003]) ).
tcf(c_14406,plain,
( c0_1(a116)
| ~ iPr_def_24
| ~ c3_1(a116)
| ~ c2_1(a116) ),
inference(instantiation,[status(thm)],[c_14003]) ).
tcf(c_14411,plain,
( ~ iPr_def_17
| ~ c0_1(a127)
| ~ c2_1(a127)
| ~ c1_1(a127) ),
inference(instantiation,[status(thm)],[c_13993]) ).
tcf(c_14414,plain,
( ~ iPr_def_17
| ~ c0_1(a102)
| ~ c2_1(a102)
| ~ c1_1(a102) ),
inference(instantiation,[status(thm)],[c_13993]) ).
tcf(c_14415,plain,
( ~ iPr_def_17
| ~ c0_1(a99)
| ~ c2_1(a99)
| ~ c1_1(a99) ),
inference(instantiation,[status(thm)],[c_13993]) ).
tcf(c_14425,plain,
( c0_1(a99)
| ~ iPr_def_13
| ~ c2_1(a99) ),
inference(instantiation,[status(thm)],[c_13988]) ).
tcf(c_14434,plain,
( c2_1(a101)
| c1_1(a101)
| ~ iPr_def_26
| ~ c0_1(a101) ),
inference(instantiation,[status(thm)],[c_14006]) ).
tcf(c_14444,plain,
( ~ iPr_def_39
| ~ c3_1(a116)
| ~ c2_1(a116)
| ~ c1_1(a116) ),
inference(instantiation,[status(thm)],[c_14038]) ).
tcf(c_14455,plain,
( c0_1(a99)
| c3_1(a99)
| c1_1(a99)
| ~ iPr_def_36 ),
inference(instantiation,[status(thm)],[c_14028]) ).
tcf(c_14459,plain,
( ~ iPr_def_12
| ~ c0_1(a142)
| ~ c3_1(a142)
| ~ c1_1(a142) ),
inference(instantiation,[status(thm)],[c_13986]) ).
tcf(c_14461,plain,
( ~ iPr_def_12
| ~ c0_1(a133)
| ~ c3_1(a133)
| ~ c1_1(a133) ),
inference(instantiation,[status(thm)],[c_13986]) ).
tcf(c_14500,plain,
( c1_1(a112)
| ~ iPr_def_31
| ~ c0_1(a112)
| ~ c3_1(a112) ),
inference(instantiation,[status(thm)],[c_14015]) ).
tcf(c_14506,plain,
( c3_1(a115)
| c2_1(a115)
| ~ iPr_def_30
| ~ c1_1(a115) ),
inference(instantiation,[status(thm)],[c_14012]) ).
tcf(c_14512,plain,
( c0_1(a118)
| c2_1(a118)
| ~ iPr_def_34
| ~ c1_1(a118) ),
inference(instantiation,[status(thm)],[c_14020]) ).
tcf(c_14514,plain,
( c0_1(a106)
| c2_1(a106)
| ~ iPr_def_34
| ~ c1_1(a106) ),
inference(instantiation,[status(thm)],[c_14020]) ).
tcf(c_14515,plain,
( c0_1(a104)
| c2_1(a104)
| ~ iPr_def_34
| ~ c1_1(a104) ),
inference(instantiation,[status(thm)],[c_14020]) ).
tcf(c_14518,plain,
( c1_1(a105)
| ~ iPr_def_31
| ~ c0_1(a105)
| ~ c3_1(a105) ),
inference(instantiation,[status(thm)],[c_14015]) ).
tcf(c_14521,plain,
( c2_1(a133)
| ~ iPr_def_15
| ~ c0_1(a133)
| ~ c3_1(a133) ),
inference(instantiation,[status(thm)],[c_13991]) ).
tcf(c_14532,plain,
( c3_1(a99)
| c1_1(a99)
| ~ iPr_def_22
| ~ c0_1(a99) ),
inference(instantiation,[status(thm)],[c_14001]) ).
tcf(c_14542,plain,
( ~ iPr_def_14
| ~ c0_1(a112)
| ~ c3_1(a112)
| ~ c2_1(a112) ),
inference(instantiation,[status(thm)],[c_13989]) ).
tcf(c_14543,plain,
( ~ iPr_def_14
| ~ c0_1(a105)
| ~ c3_1(a105)
| ~ c2_1(a105) ),
inference(instantiation,[status(thm)],[c_13989]) ).
tcf(c_14548,plain,
( ~ iPr_def_14
| ~ c0_1(a99)
| ~ c3_1(a99)
| ~ c2_1(a99) ),
inference(instantiation,[status(thm)],[c_13989]) ).
tcf(c_14561,plain,
( c2_1(a133)
| c1_1(a133)
| ~ iPr_def_25
| ~ c3_1(a133) ),
inference(instantiation,[status(thm)],[c_14005]) ).
tcf(c_14670,plain,
( hskp13
| c1_1(a97)
| ~ c3_1(a97)
| ~ c2_1(a97) ),
inference(instantiation,[status(thm)],[c_516]) ).
tcf(c_14729,plain,
( c0_1(a104)
| c2_1(a104)
| c1_1(a104)
| ~ iPr_def_28 ),
inference(instantiation,[status(thm)],[c_14009]) ).
tcf(c_14730,plain,
( c0_1(a101)
| c2_1(a101)
| c1_1(a101)
| ~ iPr_def_28 ),
inference(instantiation,[status(thm)],[c_14009]) ).
tcf(c_14772,plain,
( c0_1(a98)
| c2_1(a98)
| ~ iPr_def_34
| ~ c1_1(a98) ),
inference(instantiation,[status(thm)],[c_14020]) ).
tcf(c_14799,plain,
( c2_1(a133)
| ~ iPr_def_10
| ~ c0_1(a133)
| ~ c1_1(a133) ),
inference(instantiation,[status(thm)],[c_13984]) ).
tcf(c_14800,plain,
( c2_1(a115)
| ~ iPr_def_10
| ~ c0_1(a115)
| ~ c1_1(a115) ),
inference(instantiation,[status(thm)],[c_13984]) ).
tcf(c_14833,plain,
( c0_1(a165)
| ~ iPr_def_24
| ~ c3_1(a165)
| ~ c2_1(a165) ),
inference(instantiation,[status(thm)],[c_14003]) ).
tcf(c_14843,plain,
( c0_1(a97)
| ~ iPr_def_24
| ~ c3_1(a97)
| ~ c2_1(a97) ),
inference(instantiation,[status(thm)],[c_14003]) ).
tcf(c_14914,plain,
( c3_1(a125)
| ~ iPr_def_35
| ~ c2_1(a125)
| ~ c1_1(a125) ),
inference(instantiation,[status(thm)],[c_14026]) ).
tcf(c_14935,plain,
( c1_1(a97)
| ~ iPr_def_40
| ~ c3_1(a97)
| ~ c2_1(a97) ),
inference(instantiation,[status(thm)],[c_14044]) ).
tcf(c_14969,plain,
( c0_1(a104)
| c3_1(a104)
| c2_1(a104)
| ~ iPr_def_38 ),
inference(instantiation,[status(thm)],[c_14035]) ).
tcf(c_14977,plain,
( c0_1(a98)
| c3_1(a98)
| c2_1(a98)
| ~ iPr_def_38 ),
inference(instantiation,[status(thm)],[c_14035]) ).
tcf(c_15106,plain,
( ~ iPr_def_12
| ~ c0_1(a165)
| ~ c3_1(a165)
| ~ c1_1(a165) ),
inference(instantiation,[status(thm)],[c_13986]) ).
tcf(c_15291,plain,
( hskp1
| c3_1(a124)
| c2_1(a124)
| c1_1(a124) ),
inference(instantiation,[status(thm)],[c_497]) ).
tcf(c_15309,plain,
( c3_1(a104)
| c2_1(a104)
| ~ iPr_def_30
| ~ c1_1(a104) ),
inference(instantiation,[status(thm)],[c_14012]) ).
tcf(c_15334,plain,
( c1_1(a105)
| ~ iPr_def_40
| ~ c3_1(a105)
| ~ c2_1(a105) ),
inference(instantiation,[status(thm)],[c_14044]) ).
tcf(c_15350,plain,
( c3_1(a125)
| ~ iPr_def_32
| ~ c0_1(a125)
| ~ c1_1(a125) ),
inference(instantiation,[status(thm)],[c_14016]) ).
tcf(c_15422,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_15350,c_15334,c_15309,c_15291,c_15106,c_14977,c_14969,c_14935,c_14914,c_14843,c_14833,c_14800,c_14799,c_14772,c_14730,c_14729,c_14670,c_14561,c_14548,c_14543,c_14542,c_14532,c_14521,c_14518,c_14515,c_14514,c_14512,c_14506,c_14500,c_14461,c_14459,c_14455,c_14444,c_14434,c_14425,c_14415,c_14414,c_14411,c_14406,c_14401,c_14390,c_14389,c_14382,c_14378,c_14377,c_14374,c_14365,c_14364,c_14363,c_14356,c_14355,c_14346,c_14345,c_14316,c_14319,c_14292,c_14281,c_14264,c_14261,c_14260,c_14256,c_14250,c_14252,c_14244,c_14224,c_14221,c_14220,c_14200,c_14198,c_14189,c_14183,c_14174,c_14171,c_14167,c_14164,c_14158,c_14157,c_14156,c_14154,c_14149,c_14148,c_14143,c_14140,c_14135,c_14134,c_14122,c_14121,c_14119,c_14114,c_14109,c_14106,c_14101,c_14096,c_14095,c_14093,c_14059,c_14057,c_14056,c_14053,c_14050,c_14049,c_14047,c_14046,c_14043,c_14042,c_14039,c_14036,c_14032,c_14031,c_14030,c_14029,c_14027,c_14024,c_14023,c_14021,c_14019,c_14017,c_14014,c_14013,c_14010,c_14007,c_14004,c_14000,c_13997,c_13994,c_13990,c_13987,c_14034,c_6955,c_6925,c_6915,c_6905,c_3622,c_3612,c_3602,c_3127,c_3117,c_3107,c_2953,c_2943,c_2933,c_2321,c_2311,c_2301,c_1925,c_1915,c_1905,c_322,c_323,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_341,c_342,c_343,c_344,c_345,c_346,c_347,c_348,c_349,c_350,c_353,c_354,c_355,c_356,c_357,c_358,c_359,c_360,c_274,c_275,c_276,c_287,c_289,c_290,c_291,c_292,c_293,c_294,c_295,c_296,c_297,c_298,c_299,c_300,c_301,c_302,c_304,c_305,c_306,c_307,c_308,c_309,c_310,c_311,c_313,c_314,c_315,c_316,c_264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN454-1 : 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 : n009.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 01:16:45 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running EPR theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 4.30/1.25 % SZS status Started for theBenchmark.p
% 4.30/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 4.30/1.25
% 4.30/1.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.30/1.25
% 4.30/1.25 % ------ iProver source info
% 4.30/1.25
% 4.30/1.25 % git: date: 2026-07-19 20:42:38 +0200
% 4.30/1.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.30/1.25 % git: non_committed_changes: false
% 4.30/1.25
% 4.30/1.25 % ------ Parsing...% successful
% 4.30/1.25
% 4.30/1.25
% 4.30/1.25 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.30/1.25 %
% 4.30/1.25
% 4.30/1.25 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.30/1.25
% 4.30/1.25 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.30/1.25 gs_s sp: 76 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.30/1.25 % ------ Proving...
% 4.30/1.25 % ------ Problem Properties
% 4.30/1.25
% 4.30/1.25 %
% 4.30/1.25 % clauses 178
% 4.30/1.25 % conjectures 165
% 4.30/1.25 % EPR 178
% 4.30/1.25 % Horn 101
% 4.30/1.25 % unary 0
% 4.30/1.25 % binary 85
% 4.30/1.25 % lits 481
% 4.30/1.25 % lits eq 0
% 4.30/1.25 % fd_pure 0
% 4.30/1.25 % fd_pseudo 0
% 4.30/1.25 % fd_cond 0
% 4.30/1.25 % fd_pseudo_cond 0
% 4.30/1.25 % AC symbols 0
% 4.30/1.25
% 4.30/1.25 % ------ Schedule EPR non Horn non eq is on
% 4.30/1.25
% 4.30/1.25 % ------ no equalities: superposition off
% 4.30/1.25
% 4.30/1.25 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.30/1.25
% 4.30/1.25
% 4.30/1.25 % ------
% 4.30/1.25 % Current options:
% 4.30/1.25 % ------
% 4.30/1.25
% 4.30/1.25
% 4.30/1.25 %
% 4.30/1.25
% 4.30/1.25 % ------ Proving...
% 4.30/1.25 %
% 4.30/1.25
% 4.30/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 4.30/1.25
% 4.30/1.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.30/1.26
% 4.30/1.26
%------------------------------------------------------------------------------