%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN486-1 : 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 : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:40:30 PM UTC 2026
% Result : Unsatisfiable 4.19s 1.19s
% Output : CNFRefutation 5.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 103
% Syntax : Number of formulae : 425 ( 2 unt; 0 def)
% Number of atoms : 1978 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2548 ( 995 ~;1553 |; 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 : 52 ( 51 usr; 48 prp; 0-1 aty)
% Number of functors : 19 ( 19 usr; 19 con; 0-0 aty)
% Number of variables : 349 ( 0 sgn 349 !; 0 ?; 268 :)
% Comments :
%------------------------------------------------------------------------------
fof(f15,negated_conjecture,
( ndr1_0
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
fof(f16,negated_conjecture,
( ndr1_0
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
fof(f28,negated_conjecture,
( ndr1_0
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
fof(f31,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f35,negated_conjecture,
( hskp16
| hskp3
| hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f36,negated_conjecture,
( hskp10
| hskp0
| hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f37,negated_conjecture,
( hskp14
| hskp24
| hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f40,negated_conjecture,
( hskp9
| hskp2
| hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f45,negated_conjecture,
( c1_1(a2196)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( c2_1(a2196)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( c3_1(a2196)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( c0_1(a2188)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( c1_1(a2188)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( c2_1(a2188)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( c0_1(a2178)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( c2_1(a2178)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( c3_1(a2178)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f57,negated_conjecture,
( c1_1(a2262)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f58,negated_conjecture,
( c3_1(a2262)
| ~ hskp24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f61,negated_conjecture,
( c0_1(a2213)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( c1_1(a2213)
| ~ hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( c0_1(a2198)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( c2_1(a2197)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( c3_1(a2197)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( c0_1(a2194)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( c3_1(a2194)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( c3_1(a2193)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( c0_1(a2191)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f71,negated_conjecture,
( c0_1(a2187)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( c2_1(a2187)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( c3_1(a2186)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( c2_1(a2185)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f77,negated_conjecture,
( c2_1(a2182)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( c3_1(a2182)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f85,negated_conjecture,
( c1_1(a2176)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( c2_1(a2175)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f87,negated_conjecture,
( c1_1(a2174)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( c2_1(a2174)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f92,negated_conjecture,
( ~ hskp24
| ~ c0_1(a2262) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
fof(f100,negated_conjecture,
( ~ hskp20
| ~ c2_1(a2213) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f104,negated_conjecture,
( ~ hskp18
| ~ c1_1(a2198) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ hskp18
| ~ c2_1(a2198) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ hskp17
| ~ c1_1(a2197) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ hskp16
| ~ c1_1(a2195) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ hskp16
| ~ c2_1(a2195) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ hskp16
| ~ c3_1(a2195) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ hskp15
| ~ c2_1(a2194) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ hskp14
| ~ c1_1(a2193) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f112,negated_conjecture,
( ~ hskp14
| ~ c2_1(a2193) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ hskp13
| ~ c1_1(a2191) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ hskp13
| ~ c3_1(a2191) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f117,negated_conjecture,
( ~ hskp11
| ~ c1_1(a2187) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ hskp10
| ~ c0_1(a2186) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ hskp10
| ~ c1_1(a2186) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ hskp9
| ~ c0_1(a2185) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ hskp9
| ~ c1_1(a2185) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f123,negated_conjecture,
( ~ hskp7
| ~ c0_1(a2182) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f127,negated_conjecture,
( ~ hskp3
| ~ c0_1(a2177) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ hskp3
| ~ c1_1(a2177) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f129,negated_conjecture,
( ~ hskp3
| ~ c3_1(a2177) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( ~ hskp2
| ~ c0_1(a2176) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f131,negated_conjecture,
( ~ hskp2
| ~ c3_1(a2176) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f132,negated_conjecture,
( ~ hskp1
| ~ c0_1(a2175) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
fof(f133,negated_conjecture,
( ~ hskp1
| ~ c3_1(a2175) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f134,negated_conjecture,
( ~ hskp0
| ~ c0_1(a2174) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
fof(f137,negated_conjecture,
! [X0] :
( hskp10
| hskp9
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
fof(f138,negated_conjecture,
! [X0] :
( hskp16
| hskp15
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f139,negated_conjecture,
! [X0] :
( hskp17
| hskp29
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).
fof(f142,negated_conjecture,
! [X0] :
( hskp0
| hskp15
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
fof(f143,negated_conjecture,
! [X0] :
( hskp16
| hskp20
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
fof(f145,negated_conjecture,
! [X0] :
( hskp3
| hskp15
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
fof(f148,negated_conjecture,
! [X0] :
( hskp10
| hskp17
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f150,negated_conjecture,
! [X0] :
( hskp10
| hskp11
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).
fof(f153,negated_conjecture,
! [X0] :
( hskp1
| hskp11
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
fof(f156,negated_conjecture,
! [X0,X1] :
( hskp28
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
fof(f158,negated_conjecture,
! [X0,X1] :
( hskp1
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
fof(f160,negated_conjecture,
! [X0,X1] :
( hskp7
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c0_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
fof(f164,negated_conjecture,
! [X0,X1] :
( hskp14
| c3_1(X1)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
fof(f165,negated_conjecture,
! [X0,X1] :
( hskp2
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
fof(f166,negated_conjecture,
! [X0,X1] :
( hskp2
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
fof(f168,negated_conjecture,
! [X0,X1] :
( hskp0
| c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
fof(f172,negated_conjecture,
! [X0,X1] :
( hskp11
| c2_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f173,negated_conjecture,
! [X0,X1] :
( hskp18
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f175,negated_conjecture,
! [X0,X1] :
( hskp29
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
fof(f178,negated_conjecture,
! [X0,X1] :
( hskp27
| c0_1(X1)
| c2_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
fof(f181,negated_conjecture,
! [X0,X1] :
( hskp10
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
fof(f183,negated_conjecture,
! [X0,X1] :
( hskp2
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
fof(f185,negated_conjecture,
! [X0,X1] :
( hskp12
| c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
fof(f186,negated_conjecture,
! [X0,X1] :
( hskp7
| 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',clause186) ).
fof(f187,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).
fof(f188,negated_conjecture,
! [X2,X0,X1] :
( c2_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',clause188) ).
fof(f189,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause189) ).
fof(f190,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)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).
fof(f191,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).
fof(f192,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).
fof(f193,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c0_1(X1)
| c1_1(X0)
| ~ c1_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).
fof(f194,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c1_1(X1)
| c2_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause194) ).
fof(f195,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause195) ).
fof(f196,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).
fof(f197,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).
fof(f198,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).
fof(f199,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).
fof(f200,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c3_1(X1)
| ~ c2_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',clause200) ).
tcf(c_263,negated_conjecture,
( ndr1_0
| ~ hskp16 ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_264,negated_conjecture,
( ndr1_0
| ~ hskp15 ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_276,negated_conjecture,
( ndr1_0
| ~ hskp3 ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_279,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_283,negated_conjecture,
( hskp3
| hskp15
| hskp16 ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_284,negated_conjecture,
( hskp0
| hskp10
| hskp13 ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_285,negated_conjecture,
( hskp13
| hskp14
| hskp24 ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_288,negated_conjecture,
( hskp2
| hskp9
| hskp24 ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_293,negated_conjecture,
( c1_1(a2196)
| ~ hskp29 ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_294,negated_conjecture,
( c2_1(a2196)
| ~ hskp29 ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_295,negated_conjecture,
( c3_1(a2196)
| ~ hskp29 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_296,negated_conjecture,
( c0_1(a2188)
| ~ hskp28 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_297,negated_conjecture,
( c1_1(a2188)
| ~ hskp28 ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_298,negated_conjecture,
( c2_1(a2188)
| ~ hskp28 ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_299,negated_conjecture,
( c0_1(a2178)
| ~ hskp27 ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_300,negated_conjecture,
( c2_1(a2178)
| ~ hskp27 ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_301,negated_conjecture,
( c3_1(a2178)
| ~ hskp27 ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_305,negated_conjecture,
( c1_1(a2262)
| ~ hskp24 ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_306,negated_conjecture,
( c3_1(a2262)
| ~ hskp24 ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_309,negated_conjecture,
( c0_1(a2213)
| ~ hskp20 ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_310,negated_conjecture,
( c1_1(a2213)
| ~ hskp20 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_311,negated_conjecture,
( c0_1(a2198)
| ~ hskp18 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_312,negated_conjecture,
( c2_1(a2197)
| ~ hskp17 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_313,negated_conjecture,
( c3_1(a2197)
| ~ hskp17 ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_314,negated_conjecture,
( c0_1(a2194)
| ~ hskp15 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_315,negated_conjecture,
( c3_1(a2194)
| ~ hskp15 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_316,negated_conjecture,
( c3_1(a2193)
| ~ hskp14 ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_317,negated_conjecture,
( c0_1(a2191)
| ~ hskp13 ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_319,negated_conjecture,
( c0_1(a2187)
| ~ hskp11 ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_320,negated_conjecture,
( c2_1(a2187)
| ~ hskp11 ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_321,negated_conjecture,
( c3_1(a2186)
| ~ hskp10 ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_322,negated_conjecture,
( c2_1(a2185)
| ~ hskp9 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_325,negated_conjecture,
( c2_1(a2182)
| ~ hskp7 ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_326,negated_conjecture,
( c3_1(a2182)
| ~ hskp7 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_333,negated_conjecture,
( c1_1(a2176)
| ~ hskp2 ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_334,negated_conjecture,
( c2_1(a2175)
| ~ hskp1 ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_335,negated_conjecture,
( c1_1(a2174)
| ~ hskp0 ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_336,negated_conjecture,
( c2_1(a2174)
| ~ hskp0 ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_340,negated_conjecture,
( ~ hskp24
| ~ c0_1(a2262) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_348,negated_conjecture,
( ~ hskp20
| ~ c2_1(a2213) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_352,negated_conjecture,
( ~ hskp18
| ~ c1_1(a2198) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_353,negated_conjecture,
( ~ hskp18
| ~ c2_1(a2198) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_354,negated_conjecture,
( ~ hskp17
| ~ c1_1(a2197) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_355,negated_conjecture,
( ~ hskp16
| ~ c1_1(a2195) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_356,negated_conjecture,
( ~ hskp16
| ~ c2_1(a2195) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_357,negated_conjecture,
( ~ hskp16
| ~ c3_1(a2195) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_358,negated_conjecture,
( ~ hskp15
| ~ c2_1(a2194) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_359,negated_conjecture,
( ~ hskp14
| ~ c1_1(a2193) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_360,negated_conjecture,
( ~ hskp14
| ~ c2_1(a2193) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_361,negated_conjecture,
( ~ hskp13
| ~ c1_1(a2191) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_362,negated_conjecture,
( ~ hskp13
| ~ c3_1(a2191) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_365,negated_conjecture,
( ~ hskp11
| ~ c1_1(a2187) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_366,negated_conjecture,
( ~ hskp10
| ~ c0_1(a2186) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_367,negated_conjecture,
( ~ hskp10
| ~ c1_1(a2186) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_368,negated_conjecture,
( ~ hskp9
| ~ c0_1(a2185) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_369,negated_conjecture,
( ~ hskp9
| ~ c1_1(a2185) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_371,negated_conjecture,
( ~ hskp7
| ~ c0_1(a2182) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_375,negated_conjecture,
( ~ hskp3
| ~ c0_1(a2177) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_376,negated_conjecture,
( ~ hskp3
| ~ c1_1(a2177) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_377,negated_conjecture,
( ~ hskp3
| ~ c3_1(a2177) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_378,negated_conjecture,
( ~ hskp2
| ~ c0_1(a2176) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_379,negated_conjecture,
( ~ hskp2
| ~ c3_1(a2176) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_380,negated_conjecture,
( ~ hskp1
| ~ c0_1(a2175) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_381,negated_conjecture,
( ~ hskp1
| ~ c3_1(a2175) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_382,negated_conjecture,
( ~ hskp0
| ~ c0_1(a2174) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_385,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp10
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_386,negated_conjecture,
! [X0: $i] :
( hskp15
| hskp16
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_387,negated_conjecture,
! [X0: $i] :
( hskp17
| hskp29
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_390,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp15
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_391,negated_conjecture,
! [X0: $i] :
( hskp16
| hskp20
| c2_1(X0)
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_393,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp15
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_396,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp17
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_398,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp11
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_401,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp11
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_404,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp28
| c2_1(X1)
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_406,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_408,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_412,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| c2_1(X0)
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_413,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c2_1(X0)
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_414,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_416,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_420,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_421,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp18
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_423,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp29
| c2_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_426,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_429,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_431,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_433,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp12
| c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_434,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_435,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_436,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X1)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_437,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_438,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_439,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X1)
| c3_1(X0)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_440,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_441,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_442,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_443,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_444,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_445,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_446,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_447,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_448,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_456,plain,
( hskp15
| hskp16
| c3_1(a2174)
| c0_1(a2174)
| ~ ndr1_0
| ~ c1_1(a2174) ),
inference(instantiation,[status(thm)],[c_386]) ).
tcf(c_477,plain,
( hskp2
| c0_1(a2174)
| ~ ndr1_0
| ~ c2_1(a2174)
| ~ c3_1(a2174)
| ~ c1_1(a2174) ),
inference(instantiation,[status(thm)],[c_431]) ).
tcf(c_478,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_279,c_283,c_276,c_264,c_263]) ).
tcf(c_546,negated_conjecture,
! [X0: $i] :
( hskp16
| hskp20
| c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_391,c_283,c_276,c_264,c_263,c_391]) ).
tcf(c_549,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp15
| c3_1(X0)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_390,c_283,c_276,c_264,c_263,c_390]) ).
tcf(c_558,negated_conjecture,
! [X0: $i] :
( hskp17
| hskp29
| c3_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_387,c_283,c_276,c_264,c_263,c_387]) ).
tcf(c_561,negated_conjecture,
! [X0: $i] :
( hskp15
| hskp16
| c3_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_386,c_283,c_276,c_264,c_263,c_386]) ).
tcf(c_564,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp10
| c1_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_385,c_283,c_276,c_264,c_263,c_385]) ).
tcf(c_573,plain,
! [X0: $i] :
( hskp10
| hskp11
| c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_398,c_283,c_276,c_264,c_263,c_398]) ).
tcf(c_574,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp11
| c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_573]) ).
tcf(c_579,plain,
! [X0: $i] :
( hskp10
| hskp17
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_396,c_283,c_276,c_264,c_263,c_396]) ).
tcf(c_580,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp17
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_579]) ).
tcf(c_588,plain,
! [X0: $i] :
( hskp3
| hskp15
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_393,c_283,c_276,c_264,c_263,c_393]) ).
tcf(c_589,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp15
| c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_588]) ).
tcf(c_597,plain,
! [X0: $i] :
( hskp1
| hskp11
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_401,c_283,c_276,c_264,c_263,c_401]) ).
tcf(c_598,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp11
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_597]) ).
tcf(c_603,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp28
| c2_1(X1)
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_404,c_283,c_276,c_264,c_263,c_404]) ).
tcf(c_606,plain,
! [X0: $i,X1: $i] :
( hskp2
| c2_1(X0)
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_413,c_283,c_276,c_264,c_263,c_413]) ).
tcf(c_607,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c2_1(X0)
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_606]) ).
tcf(c_608,plain,
! [X0: $i,X1: $i] :
( hskp14
| c2_1(X0)
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_412,c_283,c_276,c_264,c_263,c_412]) ).
tcf(c_609,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| c2_1(X0)
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_608]) ).
tcf(c_617,plain,
! [X0: $i,X1: $i] :
( hskp7
| c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_408,c_283,c_276,c_264,c_263,c_408]) ).
tcf(c_618,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_617]) ).
tcf(c_621,plain,
! [X0: $i,X1: $i] :
( hskp1
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_406,c_283,c_276,c_264,c_263,c_406]) ).
tcf(c_622,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_621]) ).
tcf(c_628,plain,
! [X0: $i,X1: $i] :
( hskp29
| c2_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_423,c_283,c_276,c_264,c_263,c_423]) ).
tcf(c_629,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp29
| c2_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_628]) ).
tcf(c_632,plain,
! [X0: $i,X1: $i] :
( hskp18
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_421,c_283,c_276,c_264,c_263,c_421]) ).
tcf(c_633,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp18
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_632]) ).
tcf(c_634,plain,
! [X0: $i,X1: $i] :
( hskp11
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_420,c_283,c_276,c_264,c_263,c_420]) ).
tcf(c_635,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_634]) ).
tcf(c_642,plain,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_416,c_283,c_276,c_264,c_263,c_416]) ).
tcf(c_643,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_642]) ).
tcf(c_646,plain,
! [X0: $i,X1: $i] :
( hskp2
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_414,c_283,c_276,c_264,c_263,c_414]) ).
tcf(c_647,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_646]) ).
tcf(c_651,plain,
! [X0: $i,X1: $i] :
( hskp10
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_429,c_283,c_276,c_264,c_263,c_429]) ).
tcf(c_652,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_651]) ).
tcf(c_659,plain,
! [X0: $i,X1: $i] :
( hskp27
| c2_1(X0)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_426,c_283,c_276,c_264,c_263,c_426]) ).
tcf(c_660,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c2_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_659]) ).
tcf(c_663,plain,
! [X0: $i,X1: $i] :
( hskp7
| c3_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_434,c_283,c_276,c_264,c_263,c_434]) ).
tcf(c_664,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_663]) ).
tcf(c_665,plain,
! [X0: $i,X1: $i] :
( hskp12
| c2_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_433,c_283,c_276,c_264,c_263,c_433]) ).
tcf(c_666,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp12
| c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_665]) ).
tcf(c_670,plain,
! [X0: $i,X1: $i] :
( hskp2
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_431,c_283,c_276,c_264,c_263,c_431]) ).
tcf(c_671,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_670]) ).
tcf(c_673,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_435,c_283,c_276,c_264,c_263,c_435]) ).
tcf(c_674,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_673]) ).
tcf(c_675,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_440,c_283,c_276,c_264,c_263,c_440]) ).
tcf(c_676,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_675]) ).
tcf(c_677,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X1)
| c3_1(X0)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_439,c_283,c_276,c_264,c_263,c_439]) ).
tcf(c_678,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X1)
| c3_1(X0)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_677]) ).
tcf(c_679,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_438,c_283,c_276,c_264,c_263,c_438]) ).
tcf(c_680,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_679]) ).
tcf(c_681,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_437,c_283,c_276,c_264,c_263,c_437]) ).
tcf(c_682,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_681]) ).
tcf(c_683,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X1)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_436,c_283,c_276,c_264,c_263,c_436]) ).
tcf(c_684,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X1)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_683]) ).
tcf(c_685,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_445,c_283,c_276,c_264,c_263,c_445]) ).
tcf(c_686,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_685]) ).
tcf(c_687,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_444,c_283,c_276,c_264,c_263,c_444]) ).
tcf(c_688,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_687]) ).
tcf(c_689,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X0)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_443,c_443,c_478]) ).
tcf(c_690,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_689]) ).
tcf(c_691,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_442,c_283,c_276,c_264,c_263,c_442]) ).
tcf(c_692,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_691]) ).
tcf(c_693,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_441,c_283,c_276,c_264,c_263,c_441]) ).
tcf(c_694,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_693]) ).
tcf(c_695,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_448,c_283,c_276,c_264,c_263,c_448]) ).
tcf(c_696,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_695]) ).
tcf(c_697,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_447,c_283,c_276,c_264,c_263,c_447]) ).
tcf(c_698,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X0)
| c0_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_697]) ).
tcf(c_699,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_446,c_283,c_276,c_264,c_263,c_446]) ).
tcf(c_700,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_699]) ).
tcf(c_2479,plain,
( hskp13
| hskp24
| ~ c2_1(a2193) ),
inference(resolution,[status(thm)],[c_285,c_360]) ).
tcf(c_2489,plain,
( hskp13
| hskp24
| ~ c1_1(a2193) ),
inference(resolution,[status(thm)],[c_285,c_359]) ).
tcf(c_2785,plain,
( hskp2
| hskp24
| ~ c1_1(a2185) ),
inference(resolution,[status(thm)],[c_288,c_369]) ).
tcf(c_2795,plain,
( hskp2
| hskp24
| ~ c0_1(a2185) ),
inference(resolution,[status(thm)],[c_288,c_368]) ).
tcf(c_2805,plain,
( hskp2
| hskp24
| c2_1(a2185) ),
inference(resolution,[status(thm)],[c_288,c_322]) ).
tcf(c_3469,plain,
( hskp2
| hskp9
| ~ c0_1(a2262) ),
inference(resolution,[status(thm)],[c_288,c_340]) ).
tcf(c_3479,plain,
( hskp2
| hskp9
| c3_1(a2262) ),
inference(resolution,[status(thm)],[c_288,c_306]) ).
tcf(c_4306,plain,
! [X0: $i] :
( hskp17
| c3_1(a2196)
| c3_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_558,c_295]) ).
tcf(c_4307,plain,
( hskp17
| c3_1(a2174)
| c3_1(a2196)
| c0_1(a2174)
| ~ c1_1(a2174) ),
inference(instantiation,[status(thm)],[c_4306]) ).
tcf(c_4323,plain,
! [X0: $i] :
( hskp17
| c2_1(a2196)
| c3_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_558,c_294]) ).
tcf(c_4324,plain,
( hskp17
| c2_1(a2196)
| c3_1(a2174)
| c0_1(a2174)
| ~ c1_1(a2174) ),
inference(instantiation,[status(thm)],[c_4323]) ).
tcf(c_4340,plain,
! [X0: $i] :
( hskp17
| c1_1(a2196)
| c3_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_558,c_293]) ).
tcf(c_4341,plain,
( hskp17
| c3_1(a2174)
| c1_1(a2196)
| c0_1(a2174)
| ~ c1_1(a2174) ),
inference(instantiation,[status(thm)],[c_4340]) ).
tcf(c_5164,plain,
! [X0: $i] :
( hskp15
| c0_1(X0)
| ~ c3_1(a2177)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_589,c_377]) ).
tcf(c_5165,plain,
( hskp15
| c0_1(a2174)
| ~ c2_1(a2174)
| ~ c3_1(a2177)
| ~ c1_1(a2174) ),
inference(instantiation,[status(thm)],[c_5164]) ).
tcf(c_5181,plain,
! [X0: $i] :
( hskp15
| c0_1(X0)
| ~ c1_1(a2177)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_589,c_376]) ).
tcf(c_5182,plain,
( hskp15
| c0_1(a2174)
| ~ c2_1(a2174)
| ~ c1_1(a2177)
| ~ c1_1(a2174) ),
inference(instantiation,[status(thm)],[c_5181]) ).
tcf(c_5198,plain,
! [X0: $i] :
( hskp15
| c0_1(X0)
| ~ c0_1(a2177)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_589,c_375]) ).
tcf(c_5199,plain,
( hskp15
| c0_1(a2174)
| ~ c2_1(a2174)
| ~ c1_1(a2174)
| ~ c0_1(a2177) ),
inference(instantiation,[status(thm)],[c_5198]) ).
tcf(c_5245,plain,
( hskp15
| hskp16
| ~ c3_1(a2177) ),
inference(resolution,[status(thm)],[c_283,c_377]) ).
tcf(c_5255,plain,
( hskp15
| hskp16
| ~ c1_1(a2177) ),
inference(resolution,[status(thm)],[c_283,c_376]) ).
tcf(c_5265,plain,
( hskp15
| hskp16
| ~ c0_1(a2177) ),
inference(resolution,[status(thm)],[c_283,c_375]) ).
tcf(c_7138,plain,
( hskp0
| hskp10
| ~ c3_1(a2191) ),
inference(resolution,[status(thm)],[c_284,c_362]) ).
tcf(c_7148,plain,
( hskp0
| hskp10
| ~ c1_1(a2191) ),
inference(resolution,[status(thm)],[c_284,c_361]) ).
tcf(c_7158,plain,
( hskp0
| hskp10
| c0_1(a2191) ),
inference(resolution,[status(thm)],[c_284,c_317]) ).
tcf(c_17194,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_700]) ).
tcf(c_17195,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_700]) ).
tcf(c_17196,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_700]) ).
tcf(c_17197,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_700]) ).
tcf(c_17198,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_698]) ).
tcf(c_17199,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_698]) ).
tcf(c_17200,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| ~ c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_698]) ).
tcf(c_17203,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_696]) ).
tcf(c_17205,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_694]) ).
tcf(c_17206,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_694]) ).
tcf(c_17207,negated_conjecture,
( iPr_def_19
| iPr_def_18
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_694]) ).
tcf(c_17208,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| ~ c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_692]) ).
tcf(c_17209,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_692]) ).
tcf(c_17210,negated_conjecture,
( iPr_def_21
| iPr_def_20
| iPr_def_15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_692]) ).
tcf(c_17211,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_22
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_690]) ).
tcf(c_17212,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_23
| ~ c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_690]) ).
tcf(c_17213,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_690]) ).
tcf(c_17215,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_688]) ).
tcf(c_17218,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_27
| c1_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_686]) ).
tcf(c_17219,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_686]) ).
tcf(c_17220,negated_conjecture,
( iPr_def_28
| iPr_def_27
| iPr_def_19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_686]) ).
tcf(c_17221,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_684]) ).
tcf(c_17222,negated_conjecture,
( iPr_def_29
| iPr_def_22
| iPr_def_21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_684]) ).
tcf(c_17223,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_30
| ~ c1_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_682]) ).
tcf(c_17225,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_680]) ).
tcf(c_17226,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_680]) ).
tcf(c_17227,negated_conjecture,
( iPr_def_32
| iPr_def_31
| iPr_def_21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_680]) ).
tcf(c_17228,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_33
| c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_678]) ).
tcf(c_17229,negated_conjecture,
( iPr_def_33
| iPr_def_30
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_678]) ).
tcf(c_17230,negated_conjecture,
( iPr_def_33
| iPr_def_27
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_676]) ).
tcf(c_17231,negated_conjecture,
( iPr_def_31
| iPr_def_27
| iPr_def_20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_674]) ).
tcf(c_17232,negated_conjecture,
( iPr_def_22
| iPr_def_13
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_671]) ).
tcf(c_17234,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_34
| ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_666]) ).
tcf(c_17237,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_36
| ~ c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_664]) ).
tcf(c_17238,negated_conjecture,
( iPr_def_36
| iPr_def_28
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_664]) ).
tcf(c_17240,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_37
| ~ c1_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_660]) ).
tcf(c_17241,negated_conjecture,
( iPr_def_37
| iPr_def_10
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_660]) ).
tcf(c_17244,negated_conjecture,
( iPr_def_25
| iPr_def_20
| hskp10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_652]) ).
tcf(c_17246,negated_conjecture,
( iPr_def_31
| iPr_def_28
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_647]) ).
tcf(c_17248,negated_conjecture,
( iPr_def_37
| iPr_def_33
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_643]) ).
tcf(c_17254,negated_conjecture,
( iPr_def_34
| iPr_def_14
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_635]) ).
tcf(c_17255,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_40
| ~ c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_633]) ).
tcf(c_17256,negated_conjecture,
( iPr_def_40
| iPr_def_10
| hskp18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_633]) ).
tcf(c_17258,negated_conjecture,
( iPr_def_23
| iPr_def_22
| hskp29 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_629]) ).
tcf(c_17261,negated_conjecture,
( iPr_def_31
| iPr_def_25
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_622]) ).
tcf(c_17263,negated_conjecture,
( iPr_def_33
| iPr_def_21
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_618]) ).
tcf(c_17267,negated_conjecture,
( iPr_def_30
| iPr_def_18
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_609]) ).
tcf(c_17268,negated_conjecture,
( iPr_def_23
| iPr_def_17
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_607]) ).
tcf(c_17269,negated_conjecture,
( iPr_def_40
| iPr_def_27
| hskp28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_603]) ).
tcf(c_17271,negated_conjecture,
( iPr_def_28
| hskp1
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_598]) ).
tcf(c_17277,negated_conjecture,
( iPr_def_34
| hskp10
| hskp17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_580]) ).
tcf(c_17279,negated_conjecture,
( iPr_def_24
| hskp10
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_574]) ).
tcf(c_17282,negated_conjecture,
( iPr_def_33
| hskp9
| hskp10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_564]) ).
tcf(c_17283,negated_conjecture,
( iPr_def_18
| hskp15
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_561]) ).
tcf(c_17284,negated_conjecture,
( iPr_def_18
| hskp17
| hskp29 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_558]) ).
tcf(c_17287,negated_conjecture,
( iPr_def_40
| hskp0
| hskp15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_549]) ).
tcf(c_17288,negated_conjecture,
( iPr_def_30
| hskp16
| hskp20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_546]) ).
tcf(c_17297,plain,
( c3_1(a2174)
| c0_1(a2174)
| ~ iPr_def_18
| ~ c1_1(a2174) ),
inference(instantiation,[status(thm)],[c_17205]) ).
tcf(c_17298,plain,
( c3_1(a2174)
| c0_1(a2174)
| ~ iPr_def_21
| ~ c2_1(a2174) ),
inference(instantiation,[status(thm)],[c_17209]) ).
tcf(c_17305,plain,
( c0_1(a2174)
| ~ iPr_def_10
| ~ c2_1(a2174)
| ~ c1_1(a2174) ),
inference(instantiation,[status(thm)],[c_17194]) ).
tcf(c_17310,plain,
( c0_1(a2174)
| ~ iPr_def_22
| ~ c2_1(a2174)
| ~ c3_1(a2174) ),
inference(instantiation,[status(thm)],[c_17211]) ).
tcf(c_17315,plain,
( c3_1(a2174)
| ~ iPr_def_36
| ~ c2_1(a2174)
| ~ c1_1(a2174) ),
inference(instantiation,[status(thm)],[c_17237]) ).
tcf(c_17321,plain,
( ~ iPr_def_12
| ~ c3_1(a2188)
| ~ c1_1(a2188)
| ~ c0_1(a2188) ),
inference(instantiation,[status(thm)],[c_17196]) ).
tcf(c_17327,plain,
( c1_1(a2178)
| ~ iPr_def_19
| ~ c3_1(a2178)
| ~ c0_1(a2178) ),
inference(instantiation,[status(thm)],[c_17206]) ).
tcf(c_17329,plain,
( c1_1(a2194)
| ~ iPr_def_19
| ~ c3_1(a2194)
| ~ c0_1(a2194) ),
inference(instantiation,[status(thm)],[c_17206]) ).
tcf(c_17330,plain,
( c1_1(a2193)
| ~ iPr_def_19
| ~ c3_1(a2193)
| ~ c0_1(a2193) ),
inference(instantiation,[status(thm)],[c_17206]) ).
tcf(c_17340,plain,
( c1_1(a2187)
| ~ iPr_def_20
| ~ c2_1(a2187)
| ~ c0_1(a2187) ),
inference(instantiation,[status(thm)],[c_17208]) ).
tcf(c_17347,plain,
( c3_1(a2185)
| c0_1(a2185)
| ~ iPr_def_21
| ~ c2_1(a2185) ),
inference(instantiation,[status(thm)],[c_17209]) ).
tcf(c_17349,plain,
( c3_1(a2175)
| c0_1(a2175)
| ~ iPr_def_21
| ~ c2_1(a2175) ),
inference(instantiation,[status(thm)],[c_17209]) ).
tcf(c_17355,plain,
( c0_1(a2182)
| ~ iPr_def_22
| ~ c2_1(a2182)
| ~ c3_1(a2182) ),
inference(instantiation,[status(thm)],[c_17211]) ).
tcf(c_17358,plain,
( c1_1(a2197)
| ~ iPr_def_25
| ~ c2_1(a2197)
| ~ c3_1(a2197) ),
inference(instantiation,[status(thm)],[c_17215]) ).
tcf(c_17365,plain,
( c1_1(a2197)
| c0_1(a2197)
| ~ iPr_def_33
| ~ c3_1(a2197) ),
inference(instantiation,[status(thm)],[c_17228]) ).
tcf(c_17367,plain,
( c1_1(a2193)
| c0_1(a2193)
| ~ iPr_def_33
| ~ c3_1(a2193) ),
inference(instantiation,[status(thm)],[c_17228]) ).
tcf(c_17368,plain,
( c1_1(a2186)
| c0_1(a2186)
| ~ iPr_def_33
| ~ c3_1(a2186) ),
inference(instantiation,[status(thm)],[c_17228]) ).
tcf(c_17373,plain,
( c0_1(a2176)
| ~ iPr_def_10
| ~ c2_1(a2176)
| ~ c1_1(a2176) ),
inference(instantiation,[status(thm)],[c_17194]) ).
tcf(c_17377,plain,
( c2_1(a2177)
| c1_1(a2177)
| c0_1(a2177)
| ~ iPr_def_29 ),
inference(instantiation,[status(thm)],[c_17221]) ).
tcf(c_17385,plain,
( c3_1(a2187)
| c1_1(a2187)
| ~ iPr_def_17
| ~ c2_1(a2187) ),
inference(instantiation,[status(thm)],[c_17203]) ).
tcf(c_17386,plain,
( c3_1(a2185)
| c1_1(a2185)
| ~ iPr_def_17
| ~ c2_1(a2185) ),
inference(instantiation,[status(thm)],[c_17203]) ).
tcf(c_17396,plain,
( c3_1(a2176)
| c0_1(a2176)
| ~ iPr_def_18
| ~ c1_1(a2176) ),
inference(instantiation,[status(thm)],[c_17205]) ).
tcf(c_17404,plain,
( c3_1(a2177)
| c1_1(a2177)
| c0_1(a2177)
| ~ iPr_def_31 ),
inference(instantiation,[status(thm)],[c_17225]) ).
tcf(c_17409,plain,
( c2_1(a2194)
| ~ iPr_def_15
| ~ c3_1(a2194)
| ~ c0_1(a2194) ),
inference(instantiation,[status(thm)],[c_17200]) ).
tcf(c_17414,plain,
( c0_1(a2196)
| ~ iPr_def_10
| ~ c2_1(a2196)
| ~ c1_1(a2196) ),
inference(instantiation,[status(thm)],[c_17194]) ).
tcf(c_17415,plain,
( ~ iPr_def_13
| ~ c2_1(a2196)
| ~ c3_1(a2196)
| ~ c1_1(a2196) ),
inference(instantiation,[status(thm)],[c_17198]) ).
tcf(c_17420,plain,
( ~ iPr_def_28
| ~ c2_1(a2196)
| ~ c3_1(a2196)
| ~ c0_1(a2196) ),
inference(instantiation,[status(thm)],[c_17219]) ).
tcf(c_17423,plain,
( c0_1(a2196)
| ~ iPr_def_22
| ~ c2_1(a2196)
| ~ c3_1(a2196) ),
inference(instantiation,[status(thm)],[c_17211]) ).
tcf(c_17426,plain,
( c3_1(a2188)
| ~ iPr_def_24
| ~ c2_1(a2188)
| ~ c0_1(a2188) ),
inference(instantiation,[status(thm)],[c_17213]) ).
tcf(c_17442,plain,
( ~ iPr_def_13
| ~ c2_1(a2262)
| ~ c3_1(a2262)
| ~ c1_1(a2262) ),
inference(instantiation,[status(thm)],[c_17198]) ).
tcf(c_17448,plain,
( c0_1(a2262)
| ~ iPr_def_22
| ~ c2_1(a2262)
| ~ c3_1(a2262) ),
inference(instantiation,[status(thm)],[c_17211]) ).
tcf(c_17463,plain,
( c2_1(a2176)
| c3_1(a2176)
| ~ iPr_def_30
| ~ c1_1(a2176) ),
inference(instantiation,[status(thm)],[c_17223]) ).
tcf(c_17480,plain,
( c1_1(a2198)
| ~ iPr_def_19
| ~ c3_1(a2198)
| ~ c0_1(a2198) ),
inference(instantiation,[status(thm)],[c_17206]) ).
tcf(c_17490,plain,
( c0_1(a2185)
| ~ iPr_def_22
| ~ c2_1(a2185)
| ~ c3_1(a2185) ),
inference(instantiation,[status(thm)],[c_17211]) ).
tcf(c_17504,plain,
( c1_1(a2187)
| ~ iPr_def_25
| ~ c2_1(a2187)
| ~ c3_1(a2187) ),
inference(instantiation,[status(thm)],[c_17215]) ).
tcf(c_17505,plain,
( c1_1(a2185)
| ~ iPr_def_25
| ~ c2_1(a2185)
| ~ c3_1(a2185) ),
inference(instantiation,[status(thm)],[c_17215]) ).
tcf(c_17509,plain,
( c3_1(a2195)
| c1_1(a2195)
| c0_1(a2195)
| ~ iPr_def_31 ),
inference(instantiation,[status(thm)],[c_17225]) ).
tcf(c_17528,plain,
( c1_1(a2185)
| c0_1(a2185)
| ~ iPr_def_11
| ~ c2_1(a2185) ),
inference(instantiation,[status(thm)],[c_17195]) ).
tcf(c_17531,plain,
( ~ iPr_def_12
| ~ c3_1(a2178)
| ~ c1_1(a2178)
| ~ c0_1(a2178) ),
inference(instantiation,[status(thm)],[c_17196]) ).
tcf(c_17576,plain,
( c3_1(a2195)
| c1_1(a2195)
| ~ iPr_def_40
| ~ c0_1(a2195) ),
inference(instantiation,[status(thm)],[c_17255]) ).
tcf(c_17578,plain,
( c3_1(a2191)
| c1_1(a2191)
| ~ iPr_def_40
| ~ c0_1(a2191) ),
inference(instantiation,[status(thm)],[c_17255]) ).
tcf(c_17607,plain,
( c3_1(a2176)
| c0_1(a2176)
| ~ iPr_def_21
| ~ c2_1(a2176) ),
inference(instantiation,[status(thm)],[c_17209]) ).
tcf(c_17704,plain,
( c2_1(a2262)
| ~ iPr_def_37
| ~ c3_1(a2262)
| ~ c1_1(a2262) ),
inference(instantiation,[status(thm)],[c_17240]) ).
tcf(c_17706,plain,
( c2_1(a2194)
| ~ iPr_def_37
| ~ c3_1(a2194)
| ~ c1_1(a2194) ),
inference(instantiation,[status(thm)],[c_17240]) ).
tcf(c_17718,plain,
( c2_1(a2262)
| c0_1(a2262)
| ~ iPr_def_14
| ~ c3_1(a2262) ),
inference(instantiation,[status(thm)],[c_17199]) ).
tcf(c_17759,plain,
( c2_1(a2213)
| ~ iPr_def_34
| ~ c1_1(a2213)
| ~ c0_1(a2213) ),
inference(instantiation,[status(thm)],[c_17234]) ).
tcf(c_17770,plain,
( c1_1(a2186)
| c0_1(a2186)
| ~ iPr_def_11
| ~ c2_1(a2186) ),
inference(instantiation,[status(thm)],[c_17195]) ).
tcf(c_17772,plain,
( c1_1(a2177)
| c0_1(a2177)
| ~ iPr_def_11
| ~ c2_1(a2177) ),
inference(instantiation,[status(thm)],[c_17195]) ).
tcf(c_17788,plain,
( c2_1(a2198)
| c3_1(a2198)
| c1_1(a2198)
| ~ iPr_def_27 ),
inference(instantiation,[status(thm)],[c_17218]) ).
tcf(c_17789,plain,
( c2_1(a2195)
| c3_1(a2195)
| c1_1(a2195)
| ~ iPr_def_27 ),
inference(instantiation,[status(thm)],[c_17218]) ).
tcf(c_17791,plain,
( c2_1(a2191)
| c3_1(a2191)
| c1_1(a2191)
| ~ iPr_def_27 ),
inference(instantiation,[status(thm)],[c_17218]) ).
tcf(c_17832,plain,
( c2_1(a2195)
| c1_1(a2195)
| c0_1(a2195)
| ~ iPr_def_29 ),
inference(instantiation,[status(thm)],[c_17221]) ).
tcf(c_17833,plain,
( c2_1(a2193)
| c1_1(a2193)
| c0_1(a2193)
| ~ iPr_def_29 ),
inference(instantiation,[status(thm)],[c_17221]) ).
tcf(c_17836,plain,
( c2_1(a2186)
| c1_1(a2186)
| c0_1(a2186)
| ~ iPr_def_29 ),
inference(instantiation,[status(thm)],[c_17221]) ).
tcf(c_17842,plain,
( c0_1(a2196)
| ~ iPr_def_32
| ~ c3_1(a2196)
| ~ c1_1(a2196) ),
inference(instantiation,[status(thm)],[c_17226]) ).
tcf(c_17878,plain,
( c1_1(a2197)
| ~ iPr_def_20
| ~ c2_1(a2197)
| ~ c0_1(a2197) ),
inference(instantiation,[status(thm)],[c_17208]) ).
tcf(c_17897,plain,
( c3_1(a2191)
| ~ iPr_def_24
| ~ c2_1(a2191)
| ~ c0_1(a2191) ),
inference(instantiation,[status(thm)],[c_17213]) ).
tcf(c_17943,plain,
( ~ iPr_def_28
| ~ c2_1(a2188)
| ~ c3_1(a2188)
| ~ c0_1(a2188) ),
inference(instantiation,[status(thm)],[c_17219]) ).
tcf(c_17964,plain,
( ~ iPr_def_28
| ~ c2_1(a2178)
| ~ c3_1(a2178)
| ~ c0_1(a2178) ),
inference(instantiation,[status(thm)],[c_17219]) ).
tcf(c_18008,plain,
( c2_1(a2194)
| ~ iPr_def_34
| ~ c1_1(a2194)
| ~ c0_1(a2194) ),
inference(instantiation,[status(thm)],[c_17234]) ).
tcf(c_18010,plain,
( ~ iPr_def_12
| ~ c3_1(a2194)
| ~ c1_1(a2194)
| ~ c0_1(a2194) ),
inference(instantiation,[status(thm)],[c_17196]) ).
tcf(c_18011,plain,
( c2_1(a2194)
| c1_1(a2194)
| ~ iPr_def_23
| ~ c0_1(a2194) ),
inference(instantiation,[status(thm)],[c_17212]) ).
tcf(c_18064,plain,
( c2_1(a2193)
| c1_1(a2193)
| ~ iPr_def_23
| ~ c0_1(a2193) ),
inference(instantiation,[status(thm)],[c_17212]) ).
tcf(c_18237,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_18064,c_18008,c_18010,c_18011,c_17964,c_17943,c_17897,c_17878,c_17842,c_17836,c_17833,c_17832,c_17791,c_17789,c_17788,c_17772,c_17770,c_17759,c_17718,c_17706,c_17704,c_17607,c_17578,c_17576,c_17531,c_17528,c_17509,c_17505,c_17504,c_17490,c_17480,c_17463,c_17448,c_17442,c_17426,c_17420,c_17423,c_17414,c_17415,c_17409,c_17404,c_17396,c_17386,c_17385,c_17377,c_17373,c_17368,c_17367,c_17365,c_17358,c_17355,c_17349,c_17347,c_17340,c_17330,c_17329,c_17327,c_17321,c_17315,c_17310,c_17305,c_17298,c_17297,c_17288,c_17287,c_17284,c_17283,c_17282,c_17279,c_17277,c_17271,c_17269,c_17268,c_17267,c_17263,c_17261,c_17258,c_17256,c_17254,c_17248,c_17246,c_17244,c_17241,c_17238,c_17232,c_17231,c_17230,c_17229,c_17227,c_17222,c_17220,c_17210,c_17207,c_17197,c_7158,c_7148,c_7138,c_5265,c_5255,c_5245,c_5199,c_5182,c_5165,c_4341,c_4324,c_4307,c_3479,c_3469,c_2805,c_2795,c_2785,c_2489,c_2479,c_478,c_477,c_456,c_348,c_352,c_353,c_354,c_355,c_356,c_357,c_358,c_359,c_361,c_362,c_365,c_366,c_367,c_368,c_369,c_371,c_378,c_379,c_380,c_381,c_382,c_293,c_294,c_295,c_296,c_297,c_298,c_299,c_300,c_301,c_305,c_306,c_309,c_310,c_311,c_312,c_313,c_314,c_315,c_316,c_317,c_319,c_320,c_321,c_322,c_325,c_326,c_333,c_334,c_335,c_336,c_288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN486-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 01:30:28 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running EPR theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 4.19/1.19 % SZS status Started for theBenchmark.p
% 4.19/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 4.19/1.19
% 4.19/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.19/1.19
% 4.19/1.19 % ------ iProver source info
% 4.19/1.19
% 4.19/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 4.19/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.19/1.19 % git: non_committed_changes: false
% 4.19/1.19
% 4.19/1.19 % ------ Parsing...% successful
% 4.19/1.19
% 4.19/1.19
% 4.19/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.19/1.19 %
% 4.19/1.19
% 4.19/1.19 % ------ 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 %
% 4.19/1.19
% 4.19/1.19 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.19/1.19 gs_s sp: 124 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.19/1.19 % ------ Proving...
% 4.19/1.19 % ------ Problem Properties
% 4.19/1.19
% 4.19/1.19 %
% 4.19/1.19 % clauses 197
% 4.19/1.19 % conjectures 188
% 4.19/1.19 % EPR 197
% 4.19/1.19 % Horn 100
% 4.19/1.19 % unary 0
% 4.19/1.19 % binary 84
% 4.19/1.19 % lits 539
% 4.19/1.19 % lits eq 0
% 4.19/1.19 % fd_pure 0
% 4.19/1.19 % fd_pseudo 0
% 4.19/1.19 % fd_cond 0
% 4.19/1.19 % fd_pseudo_cond 0
% 4.19/1.19 % AC symbols 0
% 4.19/1.19
% 4.19/1.19 % ------ Schedule EPR non Horn non eq is on
% 4.19/1.19
% 4.19/1.19 % ------ no equalities: superposition off
% 4.19/1.19
% 4.19/1.19 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.19/1.19
% 4.19/1.19
% 4.19/1.19 % ------
% 4.19/1.19 % Current options:
% 4.19/1.19 % ------
% 4.19/1.19
% 4.19/1.19
% 4.19/1.19 %
% 4.19/1.19
% 4.19/1.19 % ------ Proving...
% 4.19/1.19 %
% 4.19/1.19
% 4.19/1.19 % SZS status Unsatisfiable for theBenchmark.p
% 4.19/1.19
% 4.19/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.00/1.20
% 5.00/1.20
%------------------------------------------------------------------------------