%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN498-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.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 03:40:33 PM UTC 2026
% Result : Unsatisfiable 4.10s 1.22s
% Output : CNFRefutation 4.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 109
% Syntax : Number of formulae : 418 ( 2 unt; 0 def)
% Number of atoms : 1853 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2360 ( 925 ~;1435 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 53 ( 52 usr; 49 prp; 0-1 aty)
% Number of functors : 22 ( 22 usr; 22 con; 0-0 aty)
% Number of variables : 319 ( 0 sgn 319 !; 0 ?; 246 :)
% Comments :
%------------------------------------------------------------------------------
fof(f15,negated_conjecture,
( ndr1_0
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
fof(f27,negated_conjecture,
( ndr1_0
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f29,negated_conjecture,
( ndr1_0
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f31,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f34,negated_conjecture,
( hskp24
| hskp13
| hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f35,negated_conjecture,
( hskp17
| hskp2
| hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f36,negated_conjecture,
( hskp2
| hskp4
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f39,negated_conjecture,
( hskp1
| hskp20
| hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f43,negated_conjecture,
( c0_1(a35)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( c1_1(a35)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( c2_1(a35)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( c1_1(a25)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( c2_1(a25)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( c3_1(a25)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( c0_1(a12)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( c1_1(a12)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( c3_1(a12)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f55,negated_conjecture,
( c2_1(a58)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f59,negated_conjecture,
( c0_1(a38)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( c1_1(a38)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( c1_1(a37)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( c3_1(a37)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f65,negated_conjecture,
( c1_1(a31)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( c3_1(a28)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( c0_1(a27)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( c3_1(a27)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( c2_1(a22)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( c3_1(a22)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( c0_1(a21)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( c2_1(a21)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( c2_1(a20)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f75,negated_conjecture,
( c3_1(a18)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( c0_1(a16)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( c1_1(a16)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( c1_1(a14)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( c0_1(a11)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( c0_1(a9)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( c0_1(a7)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( c3_1(a7)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( c1_1(a3)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( c3_1(a3)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( c1_1(a1)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( c2_1(a1)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f90,negated_conjecture,
( ~ hskp24
| ~ c0_1(a58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f91,negated_conjecture,
( ~ hskp24
| ~ c1_1(a58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f95,negated_conjecture,
( ~ hskp21
| ~ c2_1(a38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f98,negated_conjecture,
( ~ hskp18
| ~ c0_1(a31) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ hskp18
| ~ c3_1(a31) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ hskp17
| ~ c0_1(a28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ hskp17
| ~ c2_1(a28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ hskp16
| ~ c1_1(a27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f106,negated_conjecture,
( ~ hskp14
| ~ c0_1(a22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ hskp13
| ~ c3_1(a21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ hskp12
| ~ c1_1(a20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ hskp12
| ~ c3_1(a20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f112,negated_conjecture,
( ~ hskp10
| ~ c0_1(a18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ hskp10
| ~ c1_1(a18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ hskp9
| ~ c3_1(a16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f118,negated_conjecture,
( ~ hskp7
| ~ c0_1(a14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ hskp7
| ~ c2_1(a14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ hskp6
| ~ c0_1(a13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ hskp6
| ~ c1_1(a13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ hskp6
| ~ c3_1(a13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ hskp5
| ~ c1_1(a11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
( ~ hskp5
| ~ c2_1(a11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ hskp4
| ~ c2_1(a9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ hskp4
| ~ c3_1(a9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ hskp3
| ~ c2_1(a7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ hskp2
| ~ c2_1(a3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f129,negated_conjecture,
( ~ hskp1
| ~ c0_1(a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( ~ hskp1
| ~ c2_1(a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f131,negated_conjecture,
( ~ hskp1
| ~ c3_1(a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f132,negated_conjecture,
( ~ hskp0
| ~ c3_1(a1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f133,negated_conjecture,
! [X0] :
( hskp1
| hskp0
| c3_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f134,negated_conjecture,
! [X0] :
( hskp1
| hskp2
| c3_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f136,negated_conjecture,
! [X0] :
( hskp20
| hskp21
| c3_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f137,negated_conjecture,
! [X0] :
( hskp0
| hskp3
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f151,negated_conjecture,
! [X0] :
( hskp17
| hskp21
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f157,negated_conjecture,
! [X0] :
( hskp14
| hskp16
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
fof(f160,negated_conjecture,
! [X0] :
( hskp6
| hskp24
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f161,negated_conjecture,
! [X0] :
( hskp9
| hskp29
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f162,negated_conjecture,
! [X0] :
( hskp0
| hskp28
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
fof(f163,negated_conjecture,
! [X0] :
( hskp10
| hskp21
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f169,negated_conjecture,
! [X0] :
( hskp24
| hskp3
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f170,negated_conjecture,
! [X0,X1] :
( hskp5
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f171,negated_conjecture,
! [X0,X1] :
( hskp2
| c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f172,negated_conjecture,
! [X0,X1] :
( hskp0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f173,negated_conjecture,
! [X0,X1] :
( hskp27
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f174,negated_conjecture,
! [X0,X1] :
( hskp6
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f176,negated_conjecture,
! [X0,X1] :
( hskp1
| c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f179,negated_conjecture,
! [X0,X1] :
( hskp12
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f180,negated_conjecture,
! [X0,X1] :
( hskp6
| c3_1(X1)
| c0_1(X1)
| c3_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
fof(f181,negated_conjecture,
! [X0,X1] :
( hskp18
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f183,negated_conjecture,
! [X0,X1] :
( hskp9
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f187,negated_conjecture,
! [X0,X1] :
( hskp9
| c2_1(X1)
| c3_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).
fof(f188,negated_conjecture,
! [X0,X1] :
( hskp6
| c3_1(X1)
| c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause188) ).
fof(f191,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
fof(f192,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause192) ).
fof(f193,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X1)
| c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).
fof(f194,negated_conjecture,
! [X0,X1] :
( hskp7
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).
fof(f196,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).
fof(f197,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).
fof(f198,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c1_1(X1)
| c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).
fof(f199,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).
fof(f200,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c3_1(X0)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).
fof(f201,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c2_1(X1)
| c3_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause201) ).
fof(f202,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c2_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).
fof(f203,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X0)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).
fof(f204,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).
tcf(c_267,negated_conjecture,
( ndr1_0
| ~ hskp16 ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_279,negated_conjecture,
( ndr1_0
| ~ hskp4 ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_281,negated_conjecture,
( ndr1_0
| ~ hskp2 ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_283,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_286,negated_conjecture,
( hskp13
| hskp21
| hskp24 ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_287,negated_conjecture,
( hskp2
| hskp9
| hskp17 ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_288,negated_conjecture,
( hskp2
| hskp4
| hskp16 ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_291,negated_conjecture,
( hskp1
| hskp20
| hskp28 ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_295,negated_conjecture,
( c0_1(a35)
| ~ hskp29 ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_296,negated_conjecture,
( c1_1(a35)
| ~ hskp29 ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_297,negated_conjecture,
( c2_1(a35)
| ~ hskp29 ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_298,negated_conjecture,
( c1_1(a25)
| ~ hskp28 ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_299,negated_conjecture,
( c2_1(a25)
| ~ hskp28 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_300,negated_conjecture,
( c3_1(a25)
| ~ hskp28 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_301,negated_conjecture,
( c0_1(a12)
| ~ hskp27 ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_302,negated_conjecture,
( c1_1(a12)
| ~ hskp27 ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_303,negated_conjecture,
( c3_1(a12)
| ~ hskp27 ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_307,negated_conjecture,
( c2_1(a58)
| ~ hskp24 ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_311,negated_conjecture,
( c0_1(a38)
| ~ hskp21 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_312,negated_conjecture,
( c1_1(a38)
| ~ hskp21 ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_313,negated_conjecture,
( c1_1(a37)
| ~ hskp20 ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_314,negated_conjecture,
( c3_1(a37)
| ~ hskp20 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_317,negated_conjecture,
( c1_1(a31)
| ~ hskp18 ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_318,negated_conjecture,
( c3_1(a28)
| ~ hskp17 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_319,negated_conjecture,
( c0_1(a27)
| ~ hskp16 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_320,negated_conjecture,
( c3_1(a27)
| ~ hskp16 ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_321,negated_conjecture,
( c2_1(a22)
| ~ hskp14 ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_322,negated_conjecture,
( c3_1(a22)
| ~ hskp14 ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_323,negated_conjecture,
( c0_1(a21)
| ~ hskp13 ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_324,negated_conjecture,
( c2_1(a21)
| ~ hskp13 ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_325,negated_conjecture,
( c2_1(a20)
| ~ hskp12 ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_327,negated_conjecture,
( c3_1(a18)
| ~ hskp10 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_328,negated_conjecture,
( c0_1(a16)
| ~ hskp9 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_329,negated_conjecture,
( c1_1(a16)
| ~ hskp9 ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_330,negated_conjecture,
( c1_1(a14)
| ~ hskp7 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_331,negated_conjecture,
( c0_1(a11)
| ~ hskp5 ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_332,negated_conjecture,
( c0_1(a9)
| ~ hskp4 ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_333,negated_conjecture,
( c0_1(a7)
| ~ hskp3 ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_334,negated_conjecture,
( c3_1(a7)
| ~ hskp3 ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_335,negated_conjecture,
( c1_1(a3)
| ~ hskp2 ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_336,negated_conjecture,
( c3_1(a3)
| ~ hskp2 ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_337,negated_conjecture,
( c1_1(a1)
| ~ hskp0 ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_338,negated_conjecture,
( c2_1(a1)
| ~ hskp0 ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_342,negated_conjecture,
( ~ hskp24
| ~ c0_1(a58) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_343,negated_conjecture,
( ~ hskp24
| ~ c1_1(a58) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_347,negated_conjecture,
( ~ hskp21
| ~ c2_1(a38) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_350,negated_conjecture,
( ~ hskp18
| ~ c0_1(a31) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_351,negated_conjecture,
( ~ hskp18
| ~ c3_1(a31) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_352,negated_conjecture,
( ~ hskp17
| ~ c0_1(a28) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_353,negated_conjecture,
( ~ hskp17
| ~ c2_1(a28) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_354,negated_conjecture,
( ~ hskp16
| ~ c1_1(a27) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_358,negated_conjecture,
( ~ hskp14
| ~ c0_1(a22) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_359,negated_conjecture,
( ~ hskp13
| ~ c3_1(a21) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_360,negated_conjecture,
( ~ hskp12
| ~ c1_1(a20) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_361,negated_conjecture,
( ~ hskp12
| ~ c3_1(a20) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_364,negated_conjecture,
( ~ hskp10
| ~ c0_1(a18) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_365,negated_conjecture,
( ~ hskp10
| ~ c1_1(a18) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_366,negated_conjecture,
( ~ hskp9
| ~ c3_1(a16) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_370,negated_conjecture,
( ~ hskp7
| ~ c0_1(a14) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_371,negated_conjecture,
( ~ hskp7
| ~ c2_1(a14) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_372,negated_conjecture,
( ~ hskp6
| ~ c0_1(a13) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_373,negated_conjecture,
( ~ hskp6
| ~ c1_1(a13) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_374,negated_conjecture,
( ~ hskp6
| ~ c3_1(a13) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_375,negated_conjecture,
( ~ hskp5
| ~ c1_1(a11) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_376,negated_conjecture,
( ~ hskp5
| ~ c2_1(a11) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_377,negated_conjecture,
( ~ hskp4
| ~ c2_1(a9) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_378,negated_conjecture,
( ~ hskp4
| ~ c3_1(a9) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_379,negated_conjecture,
( ~ hskp3
| ~ c2_1(a7) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_380,negated_conjecture,
( ~ hskp2
| ~ c2_1(a3) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_381,negated_conjecture,
( ~ hskp1
| ~ c0_1(a2) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_382,negated_conjecture,
( ~ hskp1
| ~ c2_1(a2) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_383,negated_conjecture,
( ~ hskp1
| ~ c3_1(a2) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_384,negated_conjecture,
( ~ hskp0
| ~ c3_1(a1) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_385,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp1
| c1_1(X0)
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_386,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp2
| c1_1(X0)
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_388,negated_conjecture,
! [X0: $i] :
( hskp20
| hskp21
| c1_1(X0)
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_389,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp3
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_403,negated_conjecture,
! [X0: $i] :
( hskp17
| hskp21
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_409,negated_conjecture,
! [X0: $i] :
( hskp14
| hskp16
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_412,negated_conjecture,
! [X0: $i] :
( hskp6
| hskp24
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_413,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp29
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_414,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp28
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_415,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp21
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_421,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp24
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_422,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c1_1(X0)
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_423,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_424,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_425,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_426,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_428,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c1_1(X0)
| c2_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_431,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp12
| c3_1(X0)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_432,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_433,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp18
| c1_1(X1)
| c1_1(X0)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_435,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_439,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X0)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_440,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X1)
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_443,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X0)
| c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_444,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X0)
| c3_1(X2)
| c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_445,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X0)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_446,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_448,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X0)
| c2_1(X1)
| c2_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_449,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X2)
| c2_1(X1)
| c2_1(X0)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_450,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X0)
| c3_1(X2)
| c3_1(X1)
| c2_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_451,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_452,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_453,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X1)
| c2_1(X2)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_454,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c2_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_455,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_456,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_499,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_283,c_288,c_281,c_279,c_267]) ).
tcf(c_561,negated_conjecture,
! [X0: $i] :
( hskp20
| hskp21
| c1_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_388,c_288,c_281,c_279,c_267,c_388]) ).
tcf(c_567,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp2
| c1_1(X0)
| c3_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_386,c_288,c_281,c_279,c_267,c_386]) ).
tcf(c_570,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp1
| c1_1(X0)
| c3_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_385,c_288,c_281,c_279,c_267,c_385]) ).
tcf(c_609,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp3
| c1_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_389,c_288,c_281,c_279,c_267,c_389]) ).
tcf(c_612,plain,
! [X0: $i] :
( hskp10
| hskp21
| c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_415,c_288,c_281,c_279,c_267,c_415]) ).
tcf(c_613,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp21
| c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_612]) ).
tcf(c_615,plain,
! [X0: $i] :
( hskp0
| hskp28
| c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_414,c_288,c_281,c_279,c_267,c_414]) ).
tcf(c_616,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp28
| c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_615]) ).
tcf(c_618,plain,
! [X0: $i] :
( hskp9
| hskp29
| c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_413,c_288,c_281,c_279,c_267,c_413]) ).
tcf(c_619,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp29
| c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_618]) ).
tcf(c_621,plain,
! [X0: $i] :
( hskp6
| hskp24
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_412,c_288,c_281,c_279,c_267,c_412]) ).
tcf(c_622,negated_conjecture,
! [X0: $i] :
( hskp6
| hskp24
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_621]) ).
tcf(c_630,plain,
! [X0: $i] :
( hskp14
| hskp16
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_409,c_288,c_281,c_279,c_267,c_409]) ).
tcf(c_631,negated_conjecture,
! [X0: $i] :
( hskp14
| hskp16
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_630]) ).
tcf(c_648,plain,
! [X0: $i] :
( hskp17
| hskp21
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_403,c_288,c_281,c_279,c_267,c_403]) ).
tcf(c_649,negated_conjecture,
! [X0: $i] :
( hskp17
| hskp21
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_648]) ).
tcf(c_654,plain,
! [X0: $i] :
( hskp3
| hskp24
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_421,c_288,c_281,c_279,c_267,c_421]) ).
tcf(c_655,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp24
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_654]) ).
tcf(c_672,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c1_1(X0)
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c0_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_422,c_288,c_281,c_279,c_267,c_422]) ).
tcf(c_676,plain,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_426,c_288,c_281,c_279,c_267,c_426]) ).
tcf(c_677,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_676]) ).
tcf(c_678,plain,
! [X0: $i,X1: $i] :
( hskp27
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_425,c_288,c_281,c_279,c_267,c_425]) ).
tcf(c_679,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_678]) ).
tcf(c_680,plain,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_424,c_288,c_281,c_279,c_267,c_424]) ).
tcf(c_681,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_680]) ).
tcf(c_682,plain,
! [X0: $i,X1: $i] :
( hskp2
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_423,c_288,c_281,c_279,c_267,c_423]) ).
tcf(c_683,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_682]) ).
tcf(c_684,plain,
! [X0: $i,X1: $i] :
( hskp18
| c1_1(X1)
| c1_1(X0)
| c3_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_433,c_288,c_281,c_279,c_267,c_433]) ).
tcf(c_685,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp18
| c1_1(X1)
| c1_1(X0)
| c3_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_684]) ).
tcf(c_687,plain,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_432,c_288,c_281,c_279,c_267,c_432]) ).
tcf(c_688,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_687]) ).
tcf(c_690,plain,
! [X0: $i,X1: $i] :
( hskp12
| c3_1(X0)
| c2_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_431,c_288,c_281,c_279,c_267,c_431]) ).
tcf(c_691,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp12
| c3_1(X0)
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_690]) ).
tcf(c_696,plain,
! [X0: $i,X1: $i] :
( hskp1
| c1_1(X0)
| c2_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_428,c_288,c_281,c_279,c_267,c_428]) ).
tcf(c_697,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c1_1(X0)
| c2_1(X1)
| c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_696]) ).
tcf(c_698,plain,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X1)
| c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_440,c_288,c_281,c_279,c_267,c_440]) ).
tcf(c_699,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X1)
| c3_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_698]) ).
tcf(c_701,plain,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X0)
| c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_439,c_288,c_281,c_279,c_267,c_439]) ).
tcf(c_702,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X0)
| c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_701]) ).
tcf(c_709,plain,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_435,c_288,c_281,c_279,c_267,c_435]) ).
tcf(c_710,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_709]) ).
tcf(c_720,plain,
! [X0: $i,X1: $i] :
( hskp7
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_446,c_288,c_281,c_279,c_267,c_446]) ).
tcf(c_721,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_720]) ).
tcf(c_723,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X0)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_445,c_288,c_281,c_279,c_267,c_445]) ).
tcf(c_724,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X0)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_723]) ).
tcf(c_725,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X0)
| c3_1(X2)
| c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_444,c_288,c_281,c_279,c_267,c_444]) ).
tcf(c_726,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X0)
| c3_1(X2)
| c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_725]) ).
tcf(c_727,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X0)
| c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| ~ c2_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_443,c_288,c_281,c_279,c_267,c_443]) ).
tcf(c_728,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X0)
| c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| ~ c1_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_727]) ).
tcf(c_729,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X0)
| c2_1(X1)
| c2_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_448,c_288,c_281,c_279,c_267,c_448]) ).
tcf(c_730,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X0)
| c2_1(X1)
| c2_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_729]) ).
tcf(c_731,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_452,c_288,c_281,c_279,c_267,c_452]) ).
tcf(c_732,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_731]) ).
tcf(c_733,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_451,c_288,c_281,c_279,c_267,c_451]) ).
tcf(c_734,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_733]) ).
tcf(c_735,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X0)
| c3_1(X2)
| c3_1(X1)
| c2_1(X2)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_450,c_288,c_281,c_279,c_267,c_450]) ).
tcf(c_736,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X0)
| c3_1(X2)
| c3_1(X1)
| c2_1(X2)
| c0_1(X2)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_735]) ).
tcf(c_737,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X2)
| c2_1(X1)
| c2_1(X0)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_449,c_288,c_281,c_279,c_267,c_449]) ).
tcf(c_738,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X2)
| c2_1(X1)
| c2_1(X0)
| c0_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_737]) ).
tcf(c_739,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X1)
| c2_1(X2)
| c2_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_453,c_288,c_281,c_279,c_267,c_453]) ).
tcf(c_740,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X1)
| c2_1(X2)
| c2_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_739]) ).
tcf(c_741,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_455,c_288,c_281,c_279,c_267,c_455]) ).
tcf(c_742,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_741]) ).
tcf(c_743,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c2_1(X2)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_454,c_288,c_281,c_279,c_267,c_454]) ).
tcf(c_744,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c2_1(X2)
| c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_743]) ).
tcf(c_745,plain,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_456,c_456,c_499]) ).
tcf(c_746,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| ~ c1_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_745]) ).
tcf(c_1644,plain,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X1)
| c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_688,c_699]) ).
tcf(c_3984,plain,
( hskp2
| hskp9
| ~ c2_1(a28) ),
inference(resolution,[status(thm)],[c_287,c_353]) ).
tcf(c_3994,plain,
( hskp2
| hskp9
| ~ c0_1(a28) ),
inference(resolution,[status(thm)],[c_287,c_352]) ).
tcf(c_4004,plain,
( hskp2
| hskp9
| c3_1(a28) ),
inference(resolution,[status(thm)],[c_287,c_318]) ).
tcf(c_6240,plain,
( hskp21
| hskp24
| ~ c3_1(a21) ),
inference(resolution,[status(thm)],[c_286,c_359]) ).
tcf(c_6250,plain,
( hskp21
| hskp24
| c2_1(a21) ),
inference(resolution,[status(thm)],[c_286,c_324]) ).
tcf(c_6260,plain,
( hskp21
| hskp24
| c0_1(a21) ),
inference(resolution,[status(thm)],[c_286,c_323]) ).
tcf(c_7152,plain,
( hskp2
| hskp16
| ~ c3_1(a9) ),
inference(resolution,[status(thm)],[c_288,c_378]) ).
tcf(c_7162,plain,
( hskp2
| hskp16
| ~ c2_1(a9) ),
inference(resolution,[status(thm)],[c_288,c_377]) ).
tcf(c_7172,plain,
( hskp2
| hskp16
| c0_1(a9) ),
inference(resolution,[status(thm)],[c_288,c_332]) ).
tcf(c_7872,plain,
! [X0: $i,X1: $i] :
( c3_1(X1)
| c3_1(X0)
| ~ c3_1(a13)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(resolution,[status(thm)],[c_1644,c_374]) ).
tcf(c_7873,plain,
( c3_1(a1)
| ~ c1_1(a1)
| ~ c3_1(a13)
| ~ c2_1(a1) ),
inference(instantiation,[status(thm)],[c_7872]) ).
tcf(c_7892,plain,
! [X0: $i,X1: $i] :
( c3_1(X1)
| c3_1(X0)
| ~ c1_1(a13)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(resolution,[status(thm)],[c_1644,c_373]) ).
tcf(c_7893,plain,
( c3_1(a1)
| ~ c1_1(a13)
| ~ c1_1(a1)
| ~ c2_1(a1) ),
inference(instantiation,[status(thm)],[c_7892]) ).
tcf(c_7912,plain,
! [X0: $i,X1: $i] :
( c3_1(X1)
| c3_1(X0)
| ~ c0_1(a13)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(resolution,[status(thm)],[c_1644,c_372]) ).
tcf(c_7913,plain,
( c3_1(a1)
| ~ c1_1(a1)
| ~ c2_1(a1)
| ~ c0_1(a13) ),
inference(instantiation,[status(thm)],[c_7912]) ).
tcf(c_8733,plain,
( hskp20
| hskp28
| ~ c3_1(a2) ),
inference(resolution,[status(thm)],[c_291,c_383]) ).
tcf(c_8743,plain,
( hskp20
| hskp28
| ~ c2_1(a2) ),
inference(resolution,[status(thm)],[c_291,c_382]) ).
tcf(c_18891,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_1644]) ).
tcf(c_18893,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_746]) ).
tcf(c_18894,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_746]) ).
tcf(c_18895,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_746]) ).
tcf(c_18896,negated_conjecture,
( iPr_def_14
| iPr_def_13
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_746]) ).
tcf(c_18897,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_744]) ).
tcf(c_18898,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| c2_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_744]) ).
tcf(c_18899,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_744]) ).
tcf(c_18900,negated_conjecture,
( iPr_def_17
| iPr_def_16
| iPr_def_15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_744]) ).
tcf(c_18901,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_742]) ).
tcf(c_18902,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| ~ c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_742]) ).
tcf(c_18903,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| ~ c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_742]) ).
tcf(c_18904,negated_conjecture,
( iPr_def_20
| iPr_def_19
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_742]) ).
tcf(c_18905,negated_conjecture,
( iPr_def_18
| iPr_def_16
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_740]) ).
tcf(c_18906,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_738]) ).
tcf(c_18907,negated_conjecture,
( iPr_def_21
| iPr_def_19
| iPr_def_15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_738]) ).
tcf(c_18908,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_22
| c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_736]) ).
tcf(c_18909,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_23
| ~ c0_1(X0)
| ~ c2_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_736]) ).
tcf(c_18910,negated_conjecture,
( iPr_def_23
| iPr_def_22
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_736]) ).
tcf(c_18911,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_734]) ).
tcf(c_18915,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_732]) ).
tcf(c_18916,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_732]) ).
tcf(c_18918,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| c0_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_730]) ).
tcf(c_18919,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_730]) ).
tcf(c_18920,negated_conjecture,
( iPr_def_30
| iPr_def_29
| iPr_def_27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_730]) ).
tcf(c_18921,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| c0_1(X0)
| c2_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_728]) ).
tcf(c_18922,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| ~ c2_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_728]) ).
tcf(c_18923,negated_conjecture,
( iPr_def_32
| iPr_def_31
| iPr_def_28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_728]) ).
tcf(c_18924,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_33
| c2_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_726]) ).
tcf(c_18926,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_34
| c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_724]) ).
tcf(c_18927,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_35
| ~ c0_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_724]) ).
tcf(c_18928,negated_conjecture,
( iPr_def_35
| iPr_def_34
| iPr_def_33 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_724]) ).
tcf(c_18929,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_36
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_721]) ).
tcf(c_18930,negated_conjecture,
( iPr_def_36
| iPr_def_17
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_721]) ).
tcf(c_18935,negated_conjecture,
( iPr_def_36
| iPr_def_24
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_710]) ).
tcf(c_18941,negated_conjecture,
( iPr_def_15
| iPr_def_11
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_702]) ).
tcf(c_18942,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_39
| c0_1(X0)
| ~ c2_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_697]) ).
tcf(c_18943,negated_conjecture,
( iPr_def_39
| iPr_def_15
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_697]) ).
tcf(c_18946,negated_conjecture,
( iPr_def_27
| iPr_def_20
| hskp12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_691]) ).
tcf(c_18947,negated_conjecture,
( iPr_def_35
| iPr_def_23
| hskp18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_685]) ).
tcf(c_18948,negated_conjecture,
( iPr_def_39
| iPr_def_16
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_683]) ).
tcf(c_18949,negated_conjecture,
( iPr_def_22
| iPr_def_13
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_681]) ).
tcf(c_18950,negated_conjecture,
( iPr_def_22
| iPr_def_19
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_679]) ).
tcf(c_18951,negated_conjecture,
( iPr_def_22
| iPr_def_15
| hskp6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_677]) ).
tcf(c_18954,negated_conjecture,
( iPr_def_32
| iPr_def_22
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_672]) ).
tcf(c_18960,negated_conjecture,
( iPr_def_12
| hskp3
| hskp24 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_655]) ).
tcf(c_18963,negated_conjecture,
( iPr_def_13
| hskp17
| hskp21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_649]) ).
tcf(c_18969,negated_conjecture,
( iPr_def_19
| hskp14
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_631]) ).
tcf(c_18972,negated_conjecture,
( iPr_def_19
| hskp6
| hskp24 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_622]) ).
tcf(c_18973,negated_conjecture,
( iPr_def_18
| hskp9
| hskp29 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_619]) ).
tcf(c_18974,negated_conjecture,
( iPr_def_15
| hskp0
| hskp28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_616]) ).
tcf(c_18975,negated_conjecture,
( iPr_def_20
| hskp10
| hskp21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_613]) ).
tcf(c_18976,negated_conjecture,
( iPr_def_39
| hskp0
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_609]) ).
tcf(c_18990,negated_conjecture,
( iPr_def_21
| hskp0
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_570]) ).
tcf(c_18991,negated_conjecture,
( iPr_def_21
| hskp1
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_567]) ).
tcf(c_18993,negated_conjecture,
( iPr_def_33
| hskp20
| hskp21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_561]) ).
tcf(c_19011,plain,
( c3_1(a1)
| ~ iPr_def_11
| ~ c1_1(a1)
| ~ c2_1(a1) ),
inference(instantiation,[status(thm)],[c_18891]) ).
tcf(c_19028,plain,
( ~ iPr_def_12
| ~ c1_1(a37)
| ~ c3_1(a37)
| ~ c2_1(a37) ),
inference(instantiation,[status(thm)],[c_18893]) ).
tcf(c_19036,plain,
( c2_1(a37)
| ~ iPr_def_15
| ~ c1_1(a37)
| ~ c3_1(a37) ),
inference(instantiation,[status(thm)],[c_18897]) ).
tcf(c_19038,plain,
( c2_1(a28)
| ~ iPr_def_15
| ~ c1_1(a28)
| ~ c3_1(a28) ),
inference(instantiation,[status(thm)],[c_18897]) ).
tcf(c_19042,plain,
( c2_1(a3)
| ~ iPr_def_15
| ~ c1_1(a3)
| ~ c3_1(a3) ),
inference(instantiation,[status(thm)],[c_18897]) ).
tcf(c_19045,plain,
( c2_1(a27)
| ~ iPr_def_18
| ~ c3_1(a27)
| ~ c0_1(a27) ),
inference(instantiation,[status(thm)],[c_18901]) ).
tcf(c_19056,plain,
( c3_1(a2)
| c2_1(a2)
| c0_1(a2)
| ~ iPr_def_22 ),
inference(instantiation,[status(thm)],[c_18908]) ).
tcf(c_19059,plain,
( c2_1(a14)
| c0_1(a14)
| ~ iPr_def_24
| ~ c1_1(a14) ),
inference(instantiation,[status(thm)],[c_18911]) ).
tcf(c_19067,plain,
( c2_1(a28)
| c0_1(a28)
| ~ iPr_def_27
| ~ c3_1(a28) ),
inference(instantiation,[status(thm)],[c_18915]) ).
tcf(c_19070,plain,
( c2_1(a18)
| c0_1(a18)
| ~ iPr_def_27
| ~ c3_1(a18) ),
inference(instantiation,[status(thm)],[c_18915]) ).
tcf(c_19078,plain,
( c3_1(a2)
| c2_1(a2)
| ~ iPr_def_28
| ~ c1_1(a2) ),
inference(instantiation,[status(thm)],[c_18916]) ).
tcf(c_19083,plain,
( c1_1(a9)
| c3_1(a9)
| c2_1(a9)
| ~ iPr_def_33 ),
inference(instantiation,[status(thm)],[c_18924]) ).
tcf(c_19085,plain,
( c1_1(a2)
| c3_1(a2)
| c2_1(a2)
| ~ iPr_def_33 ),
inference(instantiation,[status(thm)],[c_18924]) ).
tcf(c_19093,plain,
( c1_1(a28)
| c2_1(a28)
| ~ iPr_def_16
| ~ c3_1(a28) ),
inference(instantiation,[status(thm)],[c_18898]) ).
tcf(c_19094,plain,
( c1_1(a27)
| c2_1(a27)
| ~ iPr_def_16
| ~ c3_1(a27) ),
inference(instantiation,[status(thm)],[c_18898]) ).
tcf(c_19102,plain,
( c2_1(a9)
| ~ iPr_def_19
| ~ c1_1(a9)
| ~ c0_1(a9) ),
inference(instantiation,[status(thm)],[c_18902]) ).
tcf(c_19108,plain,
( c1_1(a27)
| ~ iPr_def_23
| ~ c2_1(a27)
| ~ c0_1(a27) ),
inference(instantiation,[status(thm)],[c_18909]) ).
tcf(c_19133,plain,
( ~ iPr_def_17
| ~ c1_1(a25)
| ~ c3_1(a25)
| ~ c0_1(a25) ),
inference(instantiation,[status(thm)],[c_18899]) ).
tcf(c_19137,plain,
( ~ iPr_def_12
| ~ c1_1(a25)
| ~ c3_1(a25)
| ~ c2_1(a25) ),
inference(instantiation,[status(thm)],[c_18893]) ).
tcf(c_19142,plain,
( c1_1(a28)
| c0_1(a28)
| ~ iPr_def_29
| ~ c3_1(a28) ),
inference(instantiation,[status(thm)],[c_18918]) ).
tcf(c_19145,plain,
( c1_1(a18)
| c0_1(a18)
| ~ iPr_def_29
| ~ c3_1(a18) ),
inference(instantiation,[status(thm)],[c_18918]) ).
tcf(c_19180,plain,
( c0_1(a25)
| ~ iPr_def_13
| ~ c3_1(a25)
| ~ c2_1(a25) ),
inference(instantiation,[status(thm)],[c_18894]) ).
tcf(c_19183,plain,
( c0_1(a22)
| ~ iPr_def_13
| ~ c3_1(a22)
| ~ c2_1(a22) ),
inference(instantiation,[status(thm)],[c_18894]) ).
tcf(c_19184,plain,
( c0_1(a18)
| ~ iPr_def_13
| ~ c3_1(a18)
| ~ c2_1(a18) ),
inference(instantiation,[status(thm)],[c_18894]) ).
tcf(c_19188,plain,
( ~ iPr_def_17
| ~ c1_1(a12)
| ~ c3_1(a12)
| ~ c0_1(a12) ),
inference(instantiation,[status(thm)],[c_18899]) ).
tcf(c_19191,plain,
( c2_1(a12)
| ~ iPr_def_15
| ~ c1_1(a12)
| ~ c3_1(a12) ),
inference(instantiation,[status(thm)],[c_18897]) ).
tcf(c_19192,plain,
( ~ iPr_def_12
| ~ c1_1(a12)
| ~ c3_1(a12)
| ~ c2_1(a12) ),
inference(instantiation,[status(thm)],[c_18893]) ).
tcf(c_19221,plain,
( c1_1(a13)
| c3_1(a13)
| c0_1(a13)
| ~ iPr_def_21 ),
inference(instantiation,[status(thm)],[c_18906]) ).
tcf(c_19225,plain,
( c1_1(a28)
| c2_1(a28)
| c0_1(a28)
| ~ iPr_def_31 ),
inference(instantiation,[status(thm)],[c_18921]) ).
tcf(c_19235,plain,
( c3_1(a21)
| ~ iPr_def_11
| ~ c1_1(a21)
| ~ c2_1(a21) ),
inference(instantiation,[status(thm)],[c_18891]) ).
tcf(c_19237,plain,
( c3_1(a35)
| ~ iPr_def_11
| ~ c1_1(a35)
| ~ c2_1(a35) ),
inference(instantiation,[status(thm)],[c_18891]) ).
tcf(c_19261,plain,
( c1_1(a58)
| c0_1(a58)
| ~ iPr_def_39
| ~ c2_1(a58) ),
inference(instantiation,[status(thm)],[c_18942]) ).
tcf(c_19264,plain,
( c2_1(a7)
| ~ iPr_def_18
| ~ c3_1(a7)
| ~ c0_1(a7) ),
inference(instantiation,[status(thm)],[c_18901]) ).
tcf(c_19270,plain,
( c1_1(a7)
| c2_1(a7)
| ~ iPr_def_16
| ~ c3_1(a7) ),
inference(instantiation,[status(thm)],[c_18898]) ).
tcf(c_19272,plain,
( c2_1(a7)
| ~ iPr_def_15
| ~ c1_1(a7)
| ~ c3_1(a7) ),
inference(instantiation,[status(thm)],[c_18897]) ).
tcf(c_19289,plain,
( c3_1(a31)
| c2_1(a31)
| c0_1(a31)
| ~ iPr_def_22 ),
inference(instantiation,[status(thm)],[c_18908]) ).
tcf(c_19292,plain,
( c3_1(a13)
| c2_1(a13)
| c0_1(a13)
| ~ iPr_def_22 ),
inference(instantiation,[status(thm)],[c_18908]) ).
tcf(c_19300,plain,
( c1_1(a21)
| ~ iPr_def_23
| ~ c2_1(a21)
| ~ c0_1(a21) ),
inference(instantiation,[status(thm)],[c_18909]) ).
tcf(c_19412,plain,
( c2_1(a38)
| ~ iPr_def_19
| ~ c1_1(a38)
| ~ c0_1(a38) ),
inference(instantiation,[status(thm)],[c_18902]) ).
tcf(c_19414,plain,
( c2_1(a16)
| ~ iPr_def_19
| ~ c1_1(a16)
| ~ c0_1(a16) ),
inference(instantiation,[status(thm)],[c_18902]) ).
tcf(c_19434,plain,
( ~ iPr_def_14
| ~ c3_1(a12)
| ~ c2_1(a12)
| ~ c0_1(a12) ),
inference(instantiation,[status(thm)],[c_18895]) ).
tcf(c_19436,plain,
( ~ iPr_def_36
| ~ c1_1(a12)
| ~ c2_1(a12)
| ~ c0_1(a12) ),
inference(instantiation,[status(thm)],[c_18929]) ).
tcf(c_19447,plain,
( c3_1(a31)
| ~ iPr_def_11
| ~ c1_1(a31)
| ~ c2_1(a31) ),
inference(instantiation,[status(thm)],[c_18891]) ).
tcf(c_19458,plain,
( ~ iPr_def_17
| ~ c1_1(a35)
| ~ c3_1(a35)
| ~ c0_1(a35) ),
inference(instantiation,[status(thm)],[c_18899]) ).
tcf(c_19547,plain,
( c1_1(a13)
| c0_1(a13)
| ~ iPr_def_39
| ~ c2_1(a13) ),
inference(instantiation,[status(thm)],[c_18942]) ).
tcf(c_19634,plain,
( c2_1(a7)
| ~ iPr_def_19
| ~ c1_1(a7)
| ~ c0_1(a7) ),
inference(instantiation,[status(thm)],[c_18902]) ).
tcf(c_19654,plain,
( c3_1(a16)
| ~ iPr_def_20
| ~ c1_1(a16)
| ~ c0_1(a16) ),
inference(instantiation,[status(thm)],[c_18903]) ).
tcf(c_19659,plain,
( c1_1(a21)
| c3_1(a21)
| ~ iPr_def_32
| ~ c2_1(a21) ),
inference(instantiation,[status(thm)],[c_18922]) ).
tcf(c_19660,plain,
( c1_1(a20)
| c3_1(a20)
| ~ iPr_def_32
| ~ c2_1(a20) ),
inference(instantiation,[status(thm)],[c_18922]) ).
tcf(c_19715,plain,
( c1_1(a21)
| c3_1(a21)
| ~ iPr_def_35
| ~ c0_1(a21) ),
inference(instantiation,[status(thm)],[c_18927]) ).
tcf(c_19719,plain,
( c1_1(a9)
| c3_1(a9)
| ~ iPr_def_35
| ~ c0_1(a9) ),
inference(instantiation,[status(thm)],[c_18927]) ).
tcf(c_19753,plain,
( c3_1(a16)
| ~ iPr_def_11
| ~ c1_1(a16)
| ~ c2_1(a16) ),
inference(instantiation,[status(thm)],[c_18891]) ).
tcf(c_19896,plain,
( c1_1(a11)
| c2_1(a11)
| ~ iPr_def_30
| ~ c0_1(a11) ),
inference(instantiation,[status(thm)],[c_18919]) ).
tcf(c_19897,plain,
( c1_1(a7)
| c2_1(a7)
| ~ iPr_def_30
| ~ c0_1(a7) ),
inference(instantiation,[status(thm)],[c_18919]) ).
tcf(c_20073,plain,
( c0_1(a58)
| ~ iPr_def_13
| ~ c3_1(a58)
| ~ c2_1(a58) ),
inference(instantiation,[status(thm)],[c_18894]) ).
tcf(c_20076,plain,
( c1_1(a58)
| c3_1(a58)
| c0_1(a58)
| ~ iPr_def_21 ),
inference(instantiation,[status(thm)],[c_18906]) ).
tcf(c_20078,plain,
( c3_1(a58)
| c0_1(a58)
| ~ iPr_def_34
| ~ c2_1(a58) ),
inference(instantiation,[status(thm)],[c_18926]) ).
tcf(c_20227,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_20073,c_20076,c_20078,c_19897,c_19896,c_19753,c_19719,c_19715,c_19660,c_19659,c_19654,c_19634,c_19547,c_19458,c_19447,c_19434,c_19436,c_19414,c_19412,c_19300,c_19292,c_19289,c_19264,c_19270,c_19272,c_19261,c_19237,c_19235,c_19225,c_19221,c_19188,c_19191,c_19192,c_19184,c_19183,c_19180,c_19145,c_19142,c_19133,c_19137,c_19108,c_19102,c_19094,c_19093,c_19085,c_19083,c_19078,c_19070,c_19067,c_19059,c_19056,c_19045,c_19042,c_19038,c_19036,c_19028,c_19011,c_18993,c_18991,c_18990,c_18976,c_18975,c_18974,c_18973,c_18972,c_18969,c_18963,c_18960,c_18954,c_18951,c_18950,c_18949,c_18948,c_18947,c_18946,c_18943,c_18941,c_18935,c_18930,c_18928,c_18923,c_18920,c_18910,c_18907,c_18905,c_18904,c_18900,c_18896,c_8743,c_8733,c_7913,c_7893,c_7873,c_7172,c_7162,c_7152,c_6260,c_6250,c_6240,c_4004,c_3994,c_3984,c_342,c_343,c_347,c_350,c_351,c_352,c_353,c_354,c_358,c_360,c_361,c_364,c_365,c_366,c_370,c_371,c_372,c_373,c_374,c_375,c_376,c_379,c_380,c_381,c_382,c_383,c_384,c_295,c_296,c_297,c_298,c_299,c_300,c_301,c_302,c_303,c_307,c_311,c_312,c_313,c_314,c_317,c_318,c_319,c_320,c_321,c_322,c_325,c_327,c_328,c_329,c_330,c_331,c_333,c_334,c_335,c_336,c_337,c_338,c_291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN498-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 01:33:43 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running EPR theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 4.10/1.22 % SZS status Started for theBenchmark.p
% 4.10/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 4.10/1.22
% 4.10/1.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.10/1.22
% 4.10/1.22 % ------ iProver source info
% 4.10/1.22
% 4.10/1.22 % git: date: 2026-07-19 20:42:38 +0200
% 4.10/1.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.10/1.22 % git: non_committed_changes: false
% 4.10/1.22
% 4.10/1.22 % ------ Parsing...% successful
% 4.10/1.22
% 4.10/1.22
% 4.10/1.22 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.10/1.22 %
% 4.10/1.22
% 4.10/1.22 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.10/1.22
% 4.10/1.22 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.10/1.22 gs_s sp: 117 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.10/1.22 % ------ Proving...
% 4.10/1.22 % ------ Problem Properties
% 4.10/1.22
% 4.10/1.22 %
% 4.10/1.22 % clauses 204
% 4.10/1.22 % conjectures 198
% 4.10/1.22 % EPR 204
% 4.10/1.22 % Horn 107
% 4.10/1.22 % unary 0
% 4.10/1.22 % binary 90
% 4.10/1.22 % lits 554
% 4.10/1.22 % lits eq 0
% 4.10/1.22 % fd_pure 0
% 4.10/1.22 % fd_pseudo 0
% 4.10/1.22 % fd_cond 0
% 4.10/1.22 % fd_pseudo_cond 0
% 4.10/1.22 % AC symbols 0
% 4.10/1.22
% 4.10/1.22 % ------ Schedule EPR non Horn non eq is on
% 4.10/1.22
% 4.10/1.22 % ------ no equalities: superposition off
% 4.10/1.22
% 4.10/1.22 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.10/1.22
% 4.10/1.22
% 4.10/1.22 % ------
% 4.10/1.22 % Current options:
% 4.10/1.22 % ------
% 4.10/1.22
% 4.10/1.22
% 4.10/1.22 %
% 4.10/1.22
% 4.10/1.22 % ------ Proving...
% 4.10/1.22 %
% 4.10/1.22
% 4.10/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 4.10/1.22
% 4.10/1.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.10/1.23
% 4.10/1.23
%------------------------------------------------------------------------------