%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN461-1 : 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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:40:20 PM UTC 2026
% Result : Unsatisfiable 4.62s 1.22s
% Output : CNFRefutation 4.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 98
% Syntax : Number of formulae : 405 ( 2 unt; 0 def)
% Number of atoms : 1829 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2309 ( 885 ~;1424 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 54 ( 53 usr; 50 prp; 0-1 aty)
% Number of functors : 18 ( 18 usr; 18 con; 0-0 aty)
% Number of variables : 318 ( 0 sgn 318 !; 0 ?; 245 :)
% Comments :
%------------------------------------------------------------------------------
fof(f16,negated_conjecture,
( ndr1_0
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
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(f32,negated_conjecture,
( hskp14
| hskp1
| hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f33,negated_conjecture,
( hskp2
| hskp13
| hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f34,negated_conjecture,
( hskp16
| hskp1
| hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f46,negated_conjecture,
( c1_1(a1182)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( c2_1(a1182)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( c3_1(a1182)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f50,negated_conjecture,
( c0_1(a1211)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( c3_1(a1211)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f56,negated_conjecture,
( c3_1(a1204)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f59,negated_conjecture,
( c0_1(a1200)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( c2_1(a1199)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( c2_1(a1195)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( c2_1(a1194)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( c1_1(a1192)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( c0_1(a1186)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f68,negated_conjecture,
( c1_1(a1178)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( c2_1(a1178)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( c0_1(a1176)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( c2_1(a1176)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( c1_1(a1175)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( c2_1(a1175)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( c0_1(a1174)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( c1_1(a1174)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( c2_1(a1172)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( c3_1(a1172)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( c1_1(a1169)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( c0_1(a1168)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( c1_1(a1168)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f83,negated_conjecture,
( ~ hskp23
| ~ c0_1(a1218) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( ~ hskp23
| ~ c1_1(a1218) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( ~ hskp23
| ~ c3_1(a1218) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( ~ hskp22
| ~ c1_1(a1211) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f89,negated_conjecture,
( ~ hskp19
| ~ c1_1(a1204) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f90,negated_conjecture,
( ~ hskp19
| ~ c2_1(a1204) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
fof(f92,negated_conjecture,
( ~ hskp17
| ~ c1_1(a1200) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
fof(f93,negated_conjecture,
( ~ hskp17
| ~ c2_1(a1200) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
fof(f94,negated_conjecture,
( ~ hskp16
| ~ c0_1(a1199) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
fof(f95,negated_conjecture,
( ~ hskp16
| ~ c3_1(a1199) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
fof(f96,negated_conjecture,
( ~ hskp15
| ~ c1_1(a1195) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f97,negated_conjecture,
( ~ hskp15
| ~ c3_1(a1195) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f98,negated_conjecture,
( ~ hskp14
| ~ c0_1(a1194) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ hskp14
| ~ c1_1(a1194) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ hskp13
| ~ c0_1(a1192) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ hskp13
| ~ c2_1(a1192) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f105,negated_conjecture,
( ~ hskp11
| ~ c2_1(a1186) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ hskp11
| ~ c3_1(a1186) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f113,negated_conjecture,
( ~ hskp7
| ~ c1_1(a1179) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ hskp7
| ~ c2_1(a1179) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ hskp7
| ~ c3_1(a1179) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ hskp6
| ~ c3_1(a1178) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ hskp5
| ~ c3_1(a1176) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ hskp4
| ~ c0_1(a1175) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ hskp3
| ~ c3_1(a1174) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ hskp2
| ~ c0_1(a1172) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ hskp1
| ~ c2_1(a1169) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ hskp1
| ~ c3_1(a1169) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ hskp0
| ~ c2_1(a1168) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
! [X0] :
( hskp3
| hskp0
| c3_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
! [X0] :
( hskp6
| hskp3
| c3_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
! [X0] :
( hskp15
| hskp14
| c3_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
! [X0] :
( hskp0
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f129,negated_conjecture,
! [X0] :
( hskp16
| hskp0
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
! [X0] :
( hskp17
| hskp22
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f131,negated_conjecture,
! [X0] :
( hskp14
| hskp22
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f133,negated_conjecture,
! [X0] :
( hskp23
| hskp19
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f134,negated_conjecture,
! [X0] :
( hskp4
| hskp5
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
fof(f140,negated_conjecture,
! [X0] :
( hskp14
| hskp22
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f141,negated_conjecture,
! [X0] :
( hskp15
| hskp11
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
fof(f142,negated_conjecture,
! [X0] :
( hskp2
| hskp22
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
fof(f144,negated_conjecture,
! [X0,X1] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
fof(f145,negated_conjecture,
! [X0,X1] :
( hskp0
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
fof(f146,negated_conjecture,
! [X0,X1] :
( hskp2
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
fof(f147,negated_conjecture,
! [X0,X1] :
( hskp5
| c1_1(X0)
| c0_1(X0)
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ c2_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
fof(f150,negated_conjecture,
! [X0,X1] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).
fof(f151,negated_conjecture,
! [X0,X1] :
( hskp4
| c1_1(X1)
| c0_1(X1)
| c1_1(X0)
| c0_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
fof(f152,negated_conjecture,
! [X0,X1] :
( hskp7
| c2_1(X1)
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
fof(f153,negated_conjecture,
! [X0,X1] :
( hskp6
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
fof(f155,negated_conjecture,
! [X0,X1] :
( hskp8
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).
fof(f158,negated_conjecture,
! [X0,X1] :
( hskp3
| c3_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
fof(f159,negated_conjecture,
! [X0,X1] :
( hskp11
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
fof(f160,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',clause160) ).
fof(f161,negated_conjecture,
! [X0,X1] :
( 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',clause161) ).
fof(f162,negated_conjecture,
! [X0,X1] :
( hskp11
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).
fof(f163,negated_conjecture,
! [X0,X1] :
( hskp17
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
fof(f165,negated_conjecture,
! [X0,X1] :
( hskp11
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
fof(f167,negated_conjecture,
! [X0,X1] :
( hskp25
| c2_1(X1)
| c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
fof(f168,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
fof(f169,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f170,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
fof(f171,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
fof(f172,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f173,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c2_1(X0)
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f174,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c3_1(X1)
| c3_1(X0)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f175,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c3_1(X1)
| c2_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X2)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
fof(f176,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c3_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
tcf(c_240,negated_conjecture,
( ndr1_0
| ~ hskp14 ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_253,negated_conjecture,
( ndr1_0
| ~ hskp1 ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_254,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_256,negated_conjecture,
( hskp0
| hskp1
| hskp14 ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_257,negated_conjecture,
( hskp2
| hskp13
| hskp17 ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_258,negated_conjecture,
( hskp1
| hskp16
| hskp17 ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_270,negated_conjecture,
( c1_1(a1182)
| ~ hskp25 ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_271,negated_conjecture,
( c2_1(a1182)
| ~ hskp25 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_272,negated_conjecture,
( c3_1(a1182)
| ~ hskp25 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_274,negated_conjecture,
( c0_1(a1211)
| ~ hskp22 ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_275,negated_conjecture,
( c3_1(a1211)
| ~ hskp22 ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_280,negated_conjecture,
( c3_1(a1204)
| ~ hskp19 ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_283,negated_conjecture,
( c0_1(a1200)
| ~ hskp17 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_284,negated_conjecture,
( c2_1(a1199)
| ~ hskp16 ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_285,negated_conjecture,
( c2_1(a1195)
| ~ hskp15 ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_286,negated_conjecture,
( c2_1(a1194)
| ~ hskp14 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_287,negated_conjecture,
( c1_1(a1192)
| ~ hskp13 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_288,negated_conjecture,
( c0_1(a1186)
| ~ hskp11 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_292,negated_conjecture,
( c1_1(a1178)
| ~ hskp6 ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_293,negated_conjecture,
( c2_1(a1178)
| ~ hskp6 ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_294,negated_conjecture,
( c0_1(a1176)
| ~ hskp5 ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_295,negated_conjecture,
( c2_1(a1176)
| ~ hskp5 ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_296,negated_conjecture,
( c1_1(a1175)
| ~ hskp4 ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_297,negated_conjecture,
( c2_1(a1175)
| ~ hskp4 ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_298,negated_conjecture,
( c0_1(a1174)
| ~ hskp3 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_299,negated_conjecture,
( c1_1(a1174)
| ~ hskp3 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_300,negated_conjecture,
( c2_1(a1172)
| ~ hskp2 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_301,negated_conjecture,
( c3_1(a1172)
| ~ hskp2 ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_302,negated_conjecture,
( c1_1(a1169)
| ~ hskp1 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_303,negated_conjecture,
( c0_1(a1168)
| ~ hskp0 ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_304,negated_conjecture,
( c1_1(a1168)
| ~ hskp0 ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_307,negated_conjecture,
( ~ hskp23
| ~ c0_1(a1218) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_308,negated_conjecture,
( ~ hskp23
| ~ c1_1(a1218) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_309,negated_conjecture,
( ~ hskp23
| ~ c3_1(a1218) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_310,negated_conjecture,
( ~ hskp22
| ~ c1_1(a1211) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_313,negated_conjecture,
( ~ hskp19
| ~ c1_1(a1204) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_314,negated_conjecture,
( ~ hskp19
| ~ c2_1(a1204) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_316,negated_conjecture,
( ~ hskp17
| ~ c1_1(a1200) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_317,negated_conjecture,
( ~ hskp17
| ~ c2_1(a1200) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_318,negated_conjecture,
( ~ hskp16
| ~ c0_1(a1199) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_319,negated_conjecture,
( ~ hskp16
| ~ c3_1(a1199) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_320,negated_conjecture,
( ~ hskp15
| ~ c1_1(a1195) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_321,negated_conjecture,
( ~ hskp15
| ~ c3_1(a1195) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_322,negated_conjecture,
( ~ hskp14
| ~ c0_1(a1194) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_323,negated_conjecture,
( ~ hskp14
| ~ c1_1(a1194) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_324,negated_conjecture,
( ~ hskp13
| ~ c0_1(a1192) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_325,negated_conjecture,
( ~ hskp13
| ~ c2_1(a1192) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_329,negated_conjecture,
( ~ hskp11
| ~ c2_1(a1186) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_330,negated_conjecture,
( ~ hskp11
| ~ c3_1(a1186) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_337,negated_conjecture,
( ~ hskp7
| ~ c1_1(a1179) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_338,negated_conjecture,
( ~ hskp7
| ~ c2_1(a1179) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_339,negated_conjecture,
( ~ hskp7
| ~ c3_1(a1179) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_340,negated_conjecture,
( ~ hskp6
| ~ c3_1(a1178) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_341,negated_conjecture,
( ~ hskp5
| ~ c3_1(a1176) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_342,negated_conjecture,
( ~ hskp4
| ~ c0_1(a1175) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_343,negated_conjecture,
( ~ hskp3
| ~ c3_1(a1174) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_344,negated_conjecture,
( ~ hskp2
| ~ c0_1(a1172) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_345,negated_conjecture,
( ~ hskp1
| ~ c2_1(a1169) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_346,negated_conjecture,
( ~ hskp1
| ~ c3_1(a1169) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_347,negated_conjecture,
( ~ hskp0
| ~ c2_1(a1168) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_348,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp3
| c1_1(X0)
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_349,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp6
| c3_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_350,negated_conjecture,
! [X0: $i] :
( hskp14
| hskp15
| c1_1(X0)
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_351,negated_conjecture,
! [X0: $i] :
( hskp0
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_353,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp16
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_354,negated_conjecture,
! [X0: $i] :
( hskp17
| hskp22
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_355,negated_conjecture,
! [X0: $i] :
( hskp14
| hskp22
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_357,negated_conjecture,
! [X0: $i] :
( hskp19
| hskp23
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_358,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp5
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_364,negated_conjecture,
! [X0: $i] :
( hskp14
| hskp22
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_365,negated_conjecture,
! [X0: $i] :
( hskp11
| hskp15
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_366,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp22
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_368,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_369,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c1_1(X1)
| c1_1(X0)
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_370,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c1_1(X1)
| c1_1(X0)
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_371,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c1_1(X1)
| c1_1(X0)
| c3_1(X1)
| c2_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_374,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c1_1(X1)
| c3_1(X0)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_375,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_376,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c1_1(X0)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_377,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_379,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c3_1(X0)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_382,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_383,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c1_1(X0)
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_384,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_385,negated_conjecture,
! [X0: $i,X1: $i] :
( c1_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_386,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c1_1(X1)
| c3_1(X0)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_387,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_389,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_391,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp25
| c3_1(X0)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_392,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_393,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X2)
| c3_1(X1)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_394,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_395,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c1_1(X0)
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_396,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_397,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c2_1(X2)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_398,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c3_1(X0)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_399,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c3_1(X2)
| c2_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_400,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_425,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_254,c_256,c_254,c_253,c_240]) ).
tcf(c_483,negated_conjecture,
! [X0: $i] :
( hskp0
| c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_351,c_256,c_254,c_253,c_240,c_351]) ).
tcf(c_486,negated_conjecture,
! [X0: $i] :
( hskp14
| hskp15
| c1_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_350,c_256,c_254,c_253,c_240,c_350]) ).
tcf(c_489,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp6
| c3_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_349,c_256,c_254,c_253,c_240,c_349]) ).
tcf(c_492,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp3
| c1_1(X0)
| c3_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_348,c_256,c_254,c_253,c_240,c_348]) ).
tcf(c_495,negated_conjecture,
! [X0: $i] :
( hskp19
| hskp23
| c3_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_357,c_256,c_254,c_253,c_240,c_357]) ).
tcf(c_501,negated_conjecture,
! [X0: $i] :
( hskp14
| hskp22
| c3_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_355,c_256,c_254,c_253,c_240,c_355,c_364]) ).
tcf(c_504,negated_conjecture,
! [X0: $i] :
( hskp17
| hskp22
| c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_354,c_256,c_254,c_253,c_240,c_354]) ).
tcf(c_507,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp16
| c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_353,c_256,c_254,c_253,c_240,c_353]) ).
tcf(c_513,plain,
! [X0: $i] :
( hskp11
| hskp15
| c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_365,c_256,c_254,c_253,c_240,c_365]) ).
tcf(c_514,negated_conjecture,
! [X0: $i] :
( hskp11
| hskp15
| c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_513]) ).
tcf(c_516,negated_conjecture,
! [X0: $i] :
( hskp14
| hskp22
| c3_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_364,c_501]) ).
tcf(c_533,plain,
! [X0: $i] :
( hskp4
| hskp5
| c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_358,c_256,c_254,c_253,c_240,c_358]) ).
tcf(c_534,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp5
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_533]) ).
tcf(c_539,plain,
! [X0: $i] :
( hskp2
| hskp22
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_366,c_256,c_254,c_253,c_240,c_366]) ).
tcf(c_540,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp22
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_539]) ).
tcf(c_544,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c1_1(X1)
| c1_1(X0)
| c3_1(X1)
| c2_1(X1)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_371,c_256,c_254,c_253,c_240,c_371]) ).
tcf(c_546,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c1_1(X1)
| c1_1(X0)
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_370,c_256,c_254,c_253,c_240,c_370]) ).
tcf(c_548,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c1_1(X1)
| c1_1(X0)
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_369,c_256,c_254,c_253,c_240,c_369]) ).
tcf(c_551,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_368,c_256,c_254,c_253,c_240,c_368]) ).
tcf(c_556,plain,
! [X0: $i,X1: $i] :
( hskp6
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_377,c_256,c_254,c_253,c_240,c_377]) ).
tcf(c_557,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_556]) ).
tcf(c_558,plain,
! [X0: $i,X1: $i] :
( hskp7
| c1_1(X0)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_376,c_256,c_254,c_253,c_240,c_376]) ).
tcf(c_559,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c1_1(X0)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_558]) ).
tcf(c_560,plain,
! [X0: $i,X1: $i] :
( hskp4
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_375,c_256,c_254,c_253,c_240,c_375]) ).
tcf(c_561,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_560]) ).
tcf(c_563,plain,
! [X0: $i,X1: $i] :
( hskp0
| c1_1(X1)
| c3_1(X0)
| c2_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_374,c_256,c_254,c_253,c_240,c_374]) ).
tcf(c_564,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c1_1(X1)
| c3_1(X0)
| c2_1(X1)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_563]) ).
tcf(c_567,plain,
! [X0: $i,X1: $i] :
( hskp17
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_387,c_256,c_254,c_253,c_240,c_387]) ).
tcf(c_568,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_567]) ).
tcf(c_569,plain,
! [X0: $i,X1: $i] :
( hskp11
| c1_1(X1)
| c3_1(X0)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_386,c_256,c_254,c_253,c_240,c_386]) ).
tcf(c_570,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c1_1(X1)
| c3_1(X0)
| c2_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_569]) ).
tcf(c_571,plain,
! [X0: $i,X1: $i] :
( c1_1(X1)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_385,c_256,c_254,c_253,c_240,c_385]) ).
tcf(c_572,negated_conjecture,
! [X0: $i,X1: $i] :
( c1_1(X1)
| c2_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_571]) ).
tcf(c_573,plain,
! [X0: $i,X1: $i] :
( hskp3
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_384,c_256,c_254,c_253,c_240,c_384]) ).
tcf(c_574,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_573]) ).
tcf(c_575,plain,
! [X0: $i,X1: $i] :
( hskp11
| c1_1(X0)
| c2_1(X0)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_383,c_256,c_254,c_253,c_240,c_383]) ).
tcf(c_576,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c1_1(X0)
| c2_1(X0)
| c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_575]) ).
tcf(c_577,plain,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_382,c_256,c_254,c_253,c_240,c_382]) ).
tcf(c_578,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_577]) ).
tcf(c_583,plain,
! [X0: $i,X1: $i] :
( hskp8
| c3_1(X0)
| c2_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_379,c_256,c_254,c_253,c_240,c_379]) ).
tcf(c_584,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c3_1(X0)
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_583]) ).
tcf(c_585,plain,
! [X0: $i,X1: $i] :
( hskp25
| c3_1(X0)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_391,c_256,c_254,c_253,c_240,c_391]) ).
tcf(c_586,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp25
| c3_1(X0)
| c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_585]) ).
tcf(c_590,plain,
! [X0: $i,X1: $i] :
( hskp11
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_389,c_256,c_254,c_253,c_240,c_389]) ).
tcf(c_591,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_590]) ).
tcf(c_594,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X2)
| c3_1(X1)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_393,c_256,c_254,c_253,c_240,c_393]) ).
tcf(c_595,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X2)
| c3_1(X1)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_594]) ).
tcf(c_596,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_392,c_256,c_254,c_253,c_240,c_392]) ).
tcf(c_597,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_596]) ).
tcf(c_598,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c1_1(X0)
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_395,c_256,c_254,c_253,c_240,c_395]) ).
tcf(c_599,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c1_1(X0)
| c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_598]) ).
tcf(c_600,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_394,c_256,c_254,c_253,c_240,c_394]) ).
tcf(c_601,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_600]) ).
tcf(c_602,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c2_1(X2)
| c2_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_397,c_256,c_254,c_253,c_240,c_397]) ).
tcf(c_603,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c2_1(X2)
| c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_602]) ).
tcf(c_604,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_396,c_396,c_425]) ).
tcf(c_605,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X2)
| ~ c1_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_604]) ).
tcf(c_606,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c3_1(X2)
| c2_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_399,c_256,c_254,c_253,c_240,c_399]) ).
tcf(c_607,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c3_1(X2)
| c2_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_606]) ).
tcf(c_608,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c3_1(X0)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_398,c_256,c_254,c_253,c_240,c_398]) ).
tcf(c_609,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c3_1(X0)
| c0_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_608]) ).
tcf(c_610,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_400,c_256,c_254,c_253,c_240,c_400]) ).
tcf(c_611,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_610]) ).
tcf(c_1015,plain,
! [X0: $i,X1: $i] :
( hskp0
| c1_1(X1)
| c3_1(X0)
| c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_564,c_483]) ).
tcf(c_1016,plain,
! [X0: $i,X1: $i] :
( hskp0
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_551,c_483]) ).
tcf(c_1225,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c2_1(X2)
| c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_603,c_572]) ).
tcf(c_2678,plain,
! [X0: $i,X1: $i] :
( c3_1(a1182)
| c3_1(X0)
| c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(resolution,[status(thm)],[c_586,c_272]) ).
tcf(c_2679,plain,
( c3_1(a1168)
| c3_1(a1182)
| c2_1(a1168)
| ~ c1_1(a1168)
| ~ c0_1(a1168) ),
inference(instantiation,[status(thm)],[c_2678]) ).
tcf(c_2724,plain,
! [X0: $i,X1: $i] :
( c1_1(a1182)
| c3_1(X0)
| c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(resolution,[status(thm)],[c_586,c_270]) ).
tcf(c_2725,plain,
( c1_1(a1182)
| c3_1(a1168)
| c2_1(a1168)
| ~ c1_1(a1168)
| ~ c0_1(a1168) ),
inference(instantiation,[status(thm)],[c_2724]) ).
tcf(c_3653,plain,
! [X0: $i] :
( hskp22
| c3_1(X0)
| ~ c1_1(a1194)
| ~ c0_1(X0) ),
inference(resolution,[status(thm)],[c_516,c_323]) ).
tcf(c_3654,plain,
( hskp22
| c3_1(a1168)
| ~ c1_1(a1194)
| ~ c0_1(a1168) ),
inference(instantiation,[status(thm)],[c_3653]) ).
tcf(c_3667,plain,
! [X0: $i] :
( hskp22
| c3_1(X0)
| ~ c0_1(a1194)
| ~ c0_1(X0) ),
inference(resolution,[status(thm)],[c_516,c_322]) ).
tcf(c_3668,plain,
( hskp22
| c3_1(a1168)
| ~ c0_1(a1168)
| ~ c0_1(a1194) ),
inference(instantiation,[status(thm)],[c_3667]) ).
tcf(c_3681,plain,
! [X0: $i] :
( hskp22
| c2_1(a1194)
| c3_1(X0)
| ~ c0_1(X0) ),
inference(resolution,[status(thm)],[c_516,c_286]) ).
tcf(c_3682,plain,
( hskp22
| c3_1(a1168)
| c2_1(a1194)
| ~ c0_1(a1168) ),
inference(instantiation,[status(thm)],[c_3681]) ).
tcf(c_3776,plain,
( hskp0
| hskp1
| ~ c1_1(a1194) ),
inference(resolution,[status(thm)],[c_256,c_323]) ).
tcf(c_3786,plain,
( hskp0
| hskp1
| ~ c0_1(a1194) ),
inference(resolution,[status(thm)],[c_256,c_322]) ).
tcf(c_3796,plain,
( hskp0
| hskp1
| c2_1(a1194) ),
inference(resolution,[status(thm)],[c_256,c_286]) ).
tcf(c_4586,plain,
( hskp16
| hskp17
| ~ c3_1(a1169) ),
inference(resolution,[status(thm)],[c_258,c_346]) ).
tcf(c_4596,plain,
( hskp16
| hskp17
| ~ c2_1(a1169) ),
inference(resolution,[status(thm)],[c_258,c_345]) ).
tcf(c_4606,plain,
( hskp16
| hskp17
| c1_1(a1169) ),
inference(resolution,[status(thm)],[c_258,c_302]) ).
tcf(c_6464,plain,
( hskp2
| hskp17
| ~ c2_1(a1192) ),
inference(resolution,[status(thm)],[c_257,c_325]) ).
tcf(c_6474,plain,
( hskp2
| hskp17
| ~ c0_1(a1192) ),
inference(resolution,[status(thm)],[c_257,c_324]) ).
tcf(c_6484,plain,
( hskp2
| hskp17
| c1_1(a1192) ),
inference(resolution,[status(thm)],[c_257,c_287]) ).
tcf(c_13264,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_1225]) ).
tcf(c_13265,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ c0_1(X0)
| c2_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_1225]) ).
tcf(c_13266,plain,
! [X0: $i] :
( ~ iPr_def_12
| ~ c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_1225]) ).
tcf(c_13267,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1225]) ).
tcf(c_13268,plain,
! [X0: $i] :
( ~ iPr_def_13
| c2_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_1016]) ).
tcf(c_13269,plain,
! [X0: $i] :
( ~ iPr_def_14
| c2_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_1016]) ).
tcf(c_13270,plain,
( iPr_def_14
| iPr_def_13
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1016]) ).
tcf(c_13271,plain,
! [X0: $i] :
( ~ iPr_def_15
| ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_1015]) ).
tcf(c_13274,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_611]) ).
tcf(c_13276,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_609]) ).
tcf(c_13277,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| ~ c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_609]) ).
tcf(c_13278,negated_conjecture,
( iPr_def_19
| iPr_def_18
| iPr_def_15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_609]) ).
tcf(c_13279,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_607]) ).
tcf(c_13280,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| ~ c0_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_607]) ).
tcf(c_13281,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_22
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_607]) ).
tcf(c_13283,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_23
| ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_605]) ).
tcf(c_13284,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_605]) ).
tcf(c_13285,negated_conjecture,
( iPr_def_24
| iPr_def_23
| iPr_def_22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_605]) ).
tcf(c_13286,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| c0_1(X0)
| ~ c2_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_601]) ).
tcf(c_13287,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_26
| c0_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_601]) ).
tcf(c_13288,negated_conjecture,
( iPr_def_26
| iPr_def_25
| iPr_def_19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_601]) ).
tcf(c_13289,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_27
| c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_599]) ).
tcf(c_13290,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| ~ c0_1(X0)
| ~ c2_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_599]) ).
tcf(c_13291,negated_conjecture,
( iPr_def_28
| iPr_def_27
| iPr_def_21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_599]) ).
tcf(c_13292,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_597]) ).
tcf(c_13293,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_30
| c0_1(X0)
| c2_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_597]) ).
tcf(c_13294,negated_conjecture,
( iPr_def_30
| iPr_def_29
| iPr_def_19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_597]) ).
tcf(c_13295,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| c0_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_595]) ).
tcf(c_13296,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_595]) ).
tcf(c_13297,negated_conjecture,
( iPr_def_32
| iPr_def_31
| iPr_def_24 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_595]) ).
tcf(c_13299,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_33
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_591]) ).
tcf(c_13302,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_34
| ~ c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_586]) ).
tcf(c_13303,negated_conjecture,
( iPr_def_34
| iPr_def_12
| hskp25 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_586]) ).
tcf(c_13304,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_35
| c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_584]) ).
tcf(c_13309,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_37
| c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_578]) ).
tcf(c_13310,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_38
| c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_578]) ).
tcf(c_13311,negated_conjecture,
( iPr_def_38
| iPr_def_37
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_578]) ).
tcf(c_13312,negated_conjecture,
( iPr_def_18
| iPr_def_14
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_576]) ).
tcf(c_13313,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_39
| c2_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_574]) ).
tcf(c_13315,negated_conjecture,
( iPr_def_33
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_572]) ).
tcf(c_13316,negated_conjecture,
( iPr_def_34
| iPr_def_14
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_570]) ).
tcf(c_13317,negated_conjecture,
( iPr_def_28
| iPr_def_23
| hskp17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_568]) ).
tcf(c_13320,negated_conjecture,
( iPr_def_26
| iPr_def_25
| hskp4 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_561]) ).
tcf(c_13321,negated_conjecture,
( iPr_def_35
| iPr_def_11
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_559]) ).
tcf(c_13322,negated_conjecture,
( iPr_def_39
| iPr_def_12
| hskp6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_557]) ).
tcf(c_13324,negated_conjecture,
( iPr_def_31
| iPr_def_25
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_548]) ).
tcf(c_13325,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_41
| ~ c0_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_546]) ).
tcf(c_13326,negated_conjecture,
( iPr_def_41
| iPr_def_31
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_546]) ).
tcf(c_13327,negated_conjecture,
( iPr_def_39
| iPr_def_25
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_544]) ).
tcf(c_13330,negated_conjecture,
( iPr_def_17
| hskp2
| hskp22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_540]) ).
tcf(c_13332,negated_conjecture,
( iPr_def_18
| hskp4
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_534]) ).
tcf(c_13338,negated_conjecture,
( iPr_def_15
| hskp11
| hskp15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_514]) ).
tcf(c_13340,negated_conjecture,
( iPr_def_14
| hskp0
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_507]) ).
tcf(c_13341,negated_conjecture,
( iPr_def_23
| hskp17
| hskp22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_504]) ).
tcf(c_13345,negated_conjecture,
( iPr_def_20
| hskp19
| hskp23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_495]) ).
tcf(c_13346,negated_conjecture,
( iPr_def_31
| hskp0
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_492]) ).
tcf(c_13347,negated_conjecture,
( iPr_def_27
| hskp3
| hskp6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_489]) ).
tcf(c_13348,negated_conjecture,
( iPr_def_39
| hskp14
| hskp15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_486]) ).
tcf(c_13357,plain,
( c3_1(a1168)
| c2_1(a1168)
| ~ iPr_def_23
| ~ c0_1(a1168) ),
inference(instantiation,[status(thm)],[c_13283]) ).
tcf(c_13366,plain,
( c2_1(a1168)
| ~ iPr_def_12
| ~ c1_1(a1168)
| ~ c0_1(a1168) ),
inference(instantiation,[status(thm)],[c_13266]) ).
tcf(c_13376,plain,
( c2_1(a1168)
| ~ iPr_def_38
| ~ c1_1(a1168)
| ~ c3_1(a1168) ),
inference(instantiation,[status(thm)],[c_13310]) ).
tcf(c_13380,plain,
( ~ iPr_def_33
| ~ c1_1(a1168)
| ~ c3_1(a1168)
| ~ c0_1(a1168) ),
inference(instantiation,[status(thm)],[c_13299]) ).
tcf(c_13382,plain,
( c0_1(a1182)
| ~ iPr_def_18
| ~ c1_1(a1182)
| ~ c3_1(a1182) ),
inference(instantiation,[status(thm)],[c_13276]) ).
tcf(c_13386,plain,
( c0_1(a1172)
| ~ iPr_def_18
| ~ c1_1(a1172)
| ~ c3_1(a1172) ),
inference(instantiation,[status(thm)],[c_13276]) ).
tcf(c_13390,plain,
( c3_1(a1178)
| ~ iPr_def_19
| ~ c1_1(a1178)
| ~ c2_1(a1178) ),
inference(instantiation,[status(thm)],[c_13277]) ).
tcf(c_13391,plain,
( c3_1(a1176)
| ~ iPr_def_19
| ~ c1_1(a1176)
| ~ c2_1(a1176) ),
inference(instantiation,[status(thm)],[c_13277]) ).
tcf(c_13392,plain,
( c3_1(a1175)
| ~ iPr_def_19
| ~ c1_1(a1175)
| ~ c2_1(a1175) ),
inference(instantiation,[status(thm)],[c_13277]) ).
tcf(c_13409,plain,
( c1_1(a1200)
| c2_1(a1200)
| ~ iPr_def_11
| ~ c0_1(a1200) ),
inference(instantiation,[status(thm)],[c_13265]) ).
tcf(c_13416,plain,
( c3_1(a1176)
| ~ iPr_def_15
| ~ c2_1(a1176)
| ~ c0_1(a1176) ),
inference(instantiation,[status(thm)],[c_13271]) ).
tcf(c_13424,plain,
( c3_1(a1186)
| c2_1(a1186)
| ~ iPr_def_23
| ~ c0_1(a1186) ),
inference(instantiation,[status(thm)],[c_13283]) ).
tcf(c_13427,plain,
( c3_1(a1174)
| c2_1(a1174)
| ~ iPr_def_23
| ~ c0_1(a1174) ),
inference(instantiation,[status(thm)],[c_13283]) ).
tcf(c_13428,plain,
( c3_1(a1169)
| c2_1(a1169)
| ~ iPr_def_23
| ~ c0_1(a1169) ),
inference(instantiation,[status(thm)],[c_13283]) ).
tcf(c_13437,plain,
( c1_1(a1176)
| ~ iPr_def_28
| ~ c2_1(a1176)
| ~ c0_1(a1176) ),
inference(instantiation,[status(thm)],[c_13290]) ).
tcf(c_13445,plain,
( c1_1(a1172)
| c0_1(a1172)
| ~ iPr_def_25
| ~ c2_1(a1172) ),
inference(instantiation,[status(thm)],[c_13286]) ).
tcf(c_13446,plain,
( c1_1(a1211)
| ~ iPr_def_21
| ~ c3_1(a1211)
| ~ c0_1(a1211) ),
inference(instantiation,[status(thm)],[c_13280]) ).
tcf(c_13447,plain,
( c1_1(a1211)
| ~ iPr_def_28
| ~ c2_1(a1211)
| ~ c0_1(a1211) ),
inference(instantiation,[status(thm)],[c_13290]) ).
tcf(c_13448,plain,
( c1_1(a1211)
| c2_1(a1211)
| ~ iPr_def_11
| ~ c0_1(a1211) ),
inference(instantiation,[status(thm)],[c_13265]) ).
tcf(c_13450,plain,
( c1_1(a1195)
| ~ iPr_def_28
| ~ c2_1(a1195)
| ~ c0_1(a1195) ),
inference(instantiation,[status(thm)],[c_13290]) ).
tcf(c_13458,plain,
( c3_1(a1174)
| ~ iPr_def_19
| ~ c1_1(a1174)
| ~ c2_1(a1174) ),
inference(instantiation,[status(thm)],[c_13277]) ).
tcf(c_13478,plain,
( c2_1(a1186)
| ~ iPr_def_12
| ~ c1_1(a1186)
| ~ c0_1(a1186) ),
inference(instantiation,[status(thm)],[c_13266]) ).
tcf(c_13482,plain,
( c3_1(a1199)
| c0_1(a1199)
| ~ iPr_def_24
| ~ c2_1(a1199) ),
inference(instantiation,[status(thm)],[c_13284]) ).
tcf(c_13484,plain,
( c3_1(a1199)
| ~ iPr_def_19
| ~ c1_1(a1199)
| ~ c2_1(a1199) ),
inference(instantiation,[status(thm)],[c_13277]) ).
tcf(c_13487,plain,
( hskp0
| c1_1(a1200)
| c2_1(a1200)
| ~ c0_1(a1200) ),
inference(instantiation,[status(thm)],[c_483]) ).
tcf(c_13505,plain,
( c1_1(a1186)
| c2_1(a1186)
| ~ iPr_def_13 ),
inference(instantiation,[status(thm)],[c_13268]) ).
tcf(c_13537,plain,
( c3_1(a1169)
| c2_1(a1169)
| ~ iPr_def_20
| ~ c1_1(a1169) ),
inference(instantiation,[status(thm)],[c_13279]) ).
tcf(c_13557,plain,
( c3_1(a1199)
| c0_1(a1199)
| ~ iPr_def_37
| ~ c1_1(a1199) ),
inference(instantiation,[status(thm)],[c_13309]) ).
tcf(c_13564,plain,
( c3_1(a1169)
| c0_1(a1169)
| ~ iPr_def_37
| ~ c1_1(a1169) ),
inference(instantiation,[status(thm)],[c_13309]) ).
tcf(c_13579,plain,
( c1_1(a1195)
| c3_1(a1195)
| ~ iPr_def_41
| ~ c0_1(a1195) ),
inference(instantiation,[status(thm)],[c_13325]) ).
tcf(c_13581,plain,
( c1_1(a1186)
| c3_1(a1186)
| ~ iPr_def_41
| ~ c0_1(a1186) ),
inference(instantiation,[status(thm)],[c_13325]) ).
tcf(c_13583,plain,
( c1_1(a1176)
| c3_1(a1176)
| ~ iPr_def_41
| ~ c0_1(a1176) ),
inference(instantiation,[status(thm)],[c_13325]) ).
tcf(c_13587,plain,
( c1_1(a1211)
| c2_1(a1211)
| ~ iPr_def_14
| ~ c3_1(a1211) ),
inference(instantiation,[status(thm)],[c_13269]) ).
tcf(c_13596,plain,
( c0_1(a1192)
| ~ iPr_def_18
| ~ c1_1(a1192)
| ~ c3_1(a1192) ),
inference(instantiation,[status(thm)],[c_13276]) ).
tcf(c_13599,plain,
( c0_1(a1175)
| ~ iPr_def_18
| ~ c1_1(a1175)
| ~ c3_1(a1175) ),
inference(instantiation,[status(thm)],[c_13276]) ).
tcf(c_13600,plain,
( c1_1(a1204)
| c2_1(a1204)
| ~ iPr_def_14
| ~ c3_1(a1204) ),
inference(instantiation,[status(thm)],[c_13269]) ).
tcf(c_13603,plain,
( c1_1(a1204)
| c2_1(a1204)
| ~ iPr_def_11
| ~ c0_1(a1204) ),
inference(instantiation,[status(thm)],[c_13265]) ).
tcf(c_13620,plain,
( c3_1(a1192)
| c2_1(a1192)
| c0_1(a1192)
| ~ iPr_def_27 ),
inference(instantiation,[status(thm)],[c_13289]) ).
tcf(c_13635,plain,
( c3_1(a1192)
| c0_1(a1192)
| ~ iPr_def_37
| ~ c1_1(a1192) ),
inference(instantiation,[status(thm)],[c_13309]) ).
tcf(c_13638,plain,
( c3_1(a1175)
| c0_1(a1175)
| ~ iPr_def_37
| ~ c1_1(a1175) ),
inference(instantiation,[status(thm)],[c_13309]) ).
tcf(c_13643,plain,
( c1_1(a1200)
| c3_1(a1200)
| c2_1(a1200)
| ~ iPr_def_39 ),
inference(instantiation,[status(thm)],[c_13313]) ).
tcf(c_13661,plain,
( ~ iPr_def_22
| ~ c1_1(a1176)
| ~ c2_1(a1176)
| ~ c0_1(a1176) ),
inference(instantiation,[status(thm)],[c_13281]) ).
tcf(c_13667,plain,
( c2_1(a1192)
| c0_1(a1192)
| ~ iPr_def_35
| ~ c1_1(a1192) ),
inference(instantiation,[status(thm)],[c_13304]) ).
tcf(c_13679,plain,
( ~ iPr_def_10
| ~ c3_1(a1182)
| ~ c0_1(a1182) ),
inference(instantiation,[status(thm)],[c_13264]) ).
tcf(c_13680,plain,
( ~ iPr_def_10
| ~ c3_1(a1211)
| ~ c0_1(a1211) ),
inference(instantiation,[status(thm)],[c_13264]) ).
tcf(c_13723,plain,
( c1_1(a1194)
| c3_1(a1194)
| c0_1(a1194)
| ~ iPr_def_31 ),
inference(instantiation,[status(thm)],[c_13295]) ).
tcf(c_13729,plain,
( c1_1(a1194)
| c0_1(a1194)
| ~ iPr_def_25
| ~ c2_1(a1194) ),
inference(instantiation,[status(thm)],[c_13286]) ).
tcf(c_13760,plain,
( ~ iPr_def_17
| ~ c3_1(a1182)
| ~ c2_1(a1182)
| ~ c0_1(a1182) ),
inference(instantiation,[status(thm)],[c_13274]) ).
tcf(c_13774,plain,
( c1_1(a1195)
| c0_1(a1195)
| ~ iPr_def_25
| ~ c2_1(a1195) ),
inference(instantiation,[status(thm)],[c_13286]) ).
tcf(c_13845,plain,
( ~ iPr_def_10
| ~ c3_1(a1200)
| ~ c0_1(a1200) ),
inference(instantiation,[status(thm)],[c_13264]) ).
tcf(c_13895,plain,
( c1_1(a1179)
| c3_1(a1179)
| c2_1(a1179)
| ~ iPr_def_39 ),
inference(instantiation,[status(thm)],[c_13313]) ).
tcf(c_13975,plain,
( c3_1(a1174)
| ~ iPr_def_34
| ~ c1_1(a1174)
| ~ c0_1(a1174) ),
inference(instantiation,[status(thm)],[c_13302]) ).
tcf(c_14012,plain,
( c1_1(a1199)
| c3_1(a1199)
| c0_1(a1199)
| ~ iPr_def_31 ),
inference(instantiation,[status(thm)],[c_13295]) ).
tcf(c_14027,plain,
( c2_1(a1204)
| c0_1(a1204)
| ~ iPr_def_29
| ~ c3_1(a1204) ),
inference(instantiation,[status(thm)],[c_13292]) ).
tcf(c_14044,plain,
( c1_1(a1204)
| c2_1(a1204)
| c0_1(a1204)
| ~ iPr_def_30 ),
inference(instantiation,[status(thm)],[c_13293]) ).
tcf(c_14048,plain,
( c3_1(a1174)
| ~ iPr_def_15
| ~ c2_1(a1174)
| ~ c0_1(a1174) ),
inference(instantiation,[status(thm)],[c_13271]) ).
tcf(c_14062,plain,
( c1_1(a1194)
| c0_1(a1194)
| ~ iPr_def_26
| ~ c3_1(a1194) ),
inference(instantiation,[status(thm)],[c_13287]) ).
tcf(c_14065,plain,
( c1_1(a1172)
| c0_1(a1172)
| ~ iPr_def_26
| ~ c3_1(a1172) ),
inference(instantiation,[status(thm)],[c_13287]) ).
tcf(c_14067,plain,
( c1_1(a1204)
| c0_1(a1204)
| ~ iPr_def_26
| ~ c3_1(a1204) ),
inference(instantiation,[status(thm)],[c_13287]) ).
tcf(c_14161,plain,
( c1_1(a1179)
| c3_1(a1179)
| c0_1(a1179)
| ~ iPr_def_31 ),
inference(instantiation,[status(thm)],[c_13295]) ).
tcf(c_14241,plain,
( c1_1(a1218)
| c3_1(a1218)
| c0_1(a1218)
| ~ iPr_def_31 ),
inference(instantiation,[status(thm)],[c_13295]) ).
tcf(c_14400,plain,
( c0_1(a1175)
| ~ iPr_def_32
| ~ c3_1(a1175)
| ~ c2_1(a1175) ),
inference(instantiation,[status(thm)],[c_13296]) ).
tcf(c_14401,plain,
( c0_1(a1172)
| ~ iPr_def_32
| ~ c3_1(a1172)
| ~ c2_1(a1172) ),
inference(instantiation,[status(thm)],[c_13296]) ).
tcf(c_14410,plain,
( c3_1(a1179)
| c2_1(a1179)
| ~ iPr_def_23
| ~ c0_1(a1179) ),
inference(instantiation,[status(thm)],[c_13283]) ).
tcf(c_14529,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_14410,c_14401,c_14400,c_14241,c_14161,c_14067,c_14065,c_14062,c_14048,c_14044,c_14027,c_14012,c_13975,c_13895,c_13845,c_13774,c_13760,c_13723,c_13729,c_13680,c_13679,c_13667,c_13661,c_13643,c_13638,c_13635,c_13620,c_13600,c_13603,c_13599,c_13596,c_13587,c_13583,c_13581,c_13579,c_13564,c_13557,c_13537,c_13505,c_13487,c_13484,c_13482,c_13478,c_13458,c_13450,c_13446,c_13447,c_13448,c_13445,c_13437,c_13428,c_13427,c_13424,c_13416,c_13409,c_13392,c_13391,c_13390,c_13386,c_13382,c_13380,c_13376,c_13366,c_13357,c_13348,c_13347,c_13346,c_13345,c_13341,c_13340,c_13338,c_13332,c_13330,c_13327,c_13326,c_13324,c_13322,c_13321,c_13320,c_13317,c_13316,c_13312,c_13311,c_13303,c_13297,c_13294,c_13291,c_13288,c_13285,c_13278,c_13270,c_13267,c_13315,c_6484,c_6474,c_6464,c_4606,c_4596,c_4586,c_3796,c_3786,c_3776,c_3682,c_3668,c_3654,c_2725,c_2679,c_307,c_308,c_309,c_310,c_313,c_314,c_316,c_317,c_318,c_319,c_320,c_321,c_322,c_323,c_329,c_330,c_337,c_338,c_339,c_340,c_341,c_342,c_343,c_344,c_345,c_346,c_347,c_270,c_271,c_272,c_274,c_275,c_280,c_283,c_284,c_285,c_286,c_288,c_292,c_293,c_294,c_295,c_296,c_297,c_298,c_299,c_300,c_301,c_302,c_303,c_304,c_256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN461-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 01:19:24 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.40 Running EPR theorem proving
% 0.03/0.40 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
% 0.03/0.41
% 0.03/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.41
% 0.03/0.41 % Detected problem language: tptp
% 0.03/0.42 % Proving...
% 4.62/1.22 % SZS status Started for theBenchmark.p
% 4.62/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 4.62/1.22
% 4.62/1.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.62/1.22
% 4.62/1.22 % ------ iProver source info
% 4.62/1.22
% 4.62/1.22 % git: date: 2026-07-19 20:42:38 +0200
% 4.62/1.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.62/1.22 % git: non_committed_changes: false
% 4.62/1.22
% 4.62/1.22 % ------ Parsing...% successful
% 4.62/1.22
% 4.62/1.22
% 4.62/1.22 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.62/1.22 %
% 4.62/1.22
% 4.62/1.22 % ------ 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 %
% 4.62/1.22
% 4.62/1.22 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.62/1.22 gs_s sp: 93 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.62/1.22 % ------ Proving...
% 4.62/1.22 % ------ Problem Properties
% 4.62/1.22
% 4.62/1.22 %
% 4.62/1.22 % clauses 178
% 4.62/1.22 % conjectures 163
% 4.62/1.22 % EPR 178
% 4.62/1.22 % Horn 98
% 4.62/1.22 % unary 0
% 4.62/1.22 % binary 85
% 4.62/1.22 % lits 481
% 4.62/1.22 % lits eq 0
% 4.62/1.22 % fd_pure 0
% 4.62/1.22 % fd_pseudo 0
% 4.62/1.22 % fd_cond 0
% 4.62/1.22 % fd_pseudo_cond 0
% 4.62/1.22 % AC symbols 0
% 4.62/1.22
% 4.62/1.22 % ------ Schedule EPR non Horn non eq is on
% 4.62/1.22
% 4.62/1.22 % ------ no equalities: superposition off
% 4.62/1.22
% 4.62/1.22 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.62/1.22
% 4.62/1.22
% 4.62/1.22 % ------
% 4.62/1.22 % Current options:
% 4.62/1.22 % ------
% 4.62/1.22
% 4.62/1.22
% 4.62/1.22 %
% 4.62/1.22
% 4.62/1.22 % ------ Proving...
% 4.62/1.22 %
% 4.62/1.22
% 4.62/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 4.62/1.22
% 4.62/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.62/1.23
% 4.62/1.23
%------------------------------------------------------------------------------