%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN436-1 : 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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:40:12 PM UTC 2026
% Result : Unsatisfiable 3.55s 1.17s
% Output : CNFRefutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 116
% Syntax : Number of formulae : 501 ( 2 unt; 0 def)
% Number of atoms : 1965 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2448 ( 984 ~;1464 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 60 ( 59 usr; 56 prp; 0-1 aty)
% Number of functors : 26 ( 26 usr; 26 con; 0-0 aty)
% Number of variables : 242 ( 0 sgn 242 !; 0 ?; 186 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
( ndr1_0
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f5,negated_conjecture,
( ndr1_0
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f28,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f29,negated_conjecture,
( hskp21
| hskp17
| hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f30,negated_conjecture,
( hskp22
| hskp26
| hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f31,negated_conjecture,
( hskp4
| hskp8
| hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f32,negated_conjecture,
( hskp13
| hskp9
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f33,negated_conjecture,
( hskp0
| hskp23
| hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f34,negated_conjecture,
( c0_1(a11)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f36,negated_conjecture,
( c3_1(a11)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f37,negated_conjecture,
( c0_1(a10)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f38,negated_conjecture,
( c2_1(a10)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f39,negated_conjecture,
( c3_1(a10)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f40,negated_conjecture,
( c0_1(a9)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f41,negated_conjecture,
( c1_1(a9)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f42,negated_conjecture,
( c2_1(a9)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( c1_1(a3)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( c2_1(a3)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( c3_1(a3)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( c3_1(a53)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( c0_1(a45)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( c2_1(a42)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( c3_1(a42)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( c1_1(a37)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( c2_1(a33)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( c3_1(a33)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( c0_1(a31)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f54,negated_conjecture,
( c2_1(a31)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f55,negated_conjecture,
( c1_1(a30)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f58,negated_conjecture,
( c2_1(a24)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( c2_1(a19)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( c0_1(a18)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( c2_1(a18)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( c0_1(a16)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( c0_1(a15)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( c0_1(a14)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( c3_1(a14)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( c0_1(a8)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( c1_1(a8)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( c1_1(a7)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( c3_1(a7)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( c1_1(a6)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( c3_1(a6)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( c1_1(a4)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( c2_1(a2)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( c3_1(a1)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( ~ hskp23
| ~ c0_1(a53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( ~ hskp23
| ~ c1_1(a53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( ~ hskp22
| ~ c1_1(a45) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( ~ hskp22
| ~ c3_1(a45) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( ~ hskp21
| ~ c1_1(a42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( ~ hskp20
| ~ c0_1(a37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( ~ hskp20
| ~ c3_1(a37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( ~ hskp19
| ~ c0_1(a33) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( ~ hskp18
| ~ c0_1(a32) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( ~ hskp18
| ~ c1_1(a32) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( ~ hskp18
| ~ c3_1(a32) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( ~ hskp17
| ~ c1_1(a31) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f87,negated_conjecture,
( ~ hskp16
| ~ c0_1(a30) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( ~ hskp16
| ~ c2_1(a30) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f90,negated_conjecture,
( ~ hskp14
| ~ c0_1(a24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f91,negated_conjecture,
( ~ hskp14
| ~ c1_1(a24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f92,negated_conjecture,
( ~ hskp13
| ~ c0_1(a22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f93,negated_conjecture,
( ~ hskp13
| ~ c2_1(a22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f94,negated_conjecture,
( ~ hskp13
| ~ c3_1(a22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f98,negated_conjecture,
( ~ hskp11
| ~ c1_1(a19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ hskp11
| ~ c3_1(a19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ hskp10
| ~ c3_1(a18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ hskp9
| ~ c2_1(a16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ hskp9
| ~ c3_1(a16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ hskp8
| ~ c1_1(a15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ hskp8
| ~ c2_1(a15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ hskp7
| ~ c2_1(a14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ hskp6
| ~ c2_1(a8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ hskp5
| ~ c0_1(a7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ hskp4
| ~ c2_1(a6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ hskp3
| ~ c1_1(a5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ hskp3
| ~ c2_1(a5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ hskp3
| ~ c3_1(a5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
fof(f112,negated_conjecture,
( ~ hskp2
| ~ c2_1(a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ hskp2
| ~ c3_1(a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ hskp1
| ~ c0_1(a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ hskp1
| ~ c3_1(a2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ hskp0
| ~ c0_1(a1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ hskp0
| ~ c2_1(a1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
! [X0] :
( hskp7
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
! [X0] :
( hskp3
| hskp2
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
! [X0] :
( hskp26
| hskp25
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
! [X0] :
( hskp14
| hskp2
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
! [X0] :
( hskp26
| hskp6
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
! [X0] :
( hskp16
| hskp26
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
! [X0] :
( hskp26
| hskp27
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f126,negated_conjecture,
! [X0] :
( hskp9
| hskp8
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f128,negated_conjecture,
! [X0] :
( hskp18
| hskp17
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f129,negated_conjecture,
! [X0] :
( hskp24
| hskp9
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
! [X0] :
( hskp20
| hskp26
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f131,negated_conjecture,
! [X0] :
( hskp10
| hskp6
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f132,negated_conjecture,
! [X0,X1] :
( c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f133,negated_conjecture,
! [X0,X1] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f134,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/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f135,negated_conjecture,
! [X0,X1] :
( hskp24
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f136,negated_conjecture,
! [X0,X1] :
( hskp4
| c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f137,negated_conjecture,
! [X0,X1] :
( hskp5
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f138,negated_conjecture,
! [X0,X1] :
( hskp4
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f139,negated_conjecture,
! [X0,X1] :
( hskp13
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f140,negated_conjecture,
! [X0,X1] :
( hskp15
| c2_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f141,negated_conjecture,
! [X0,X1] :
( c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f143,negated_conjecture,
! [X0,X1] :
( hskp10
| c0_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f144,negated_conjecture,
! [X0,X1] :
( hskp11
| c0_1(X1)
| c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
fof(f145,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
fof(f147,negated_conjecture,
! [X0,X1] :
( hskp19
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f148,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f149,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f150,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f151,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f152,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X2)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
tcf(c_204,negated_conjecture,
( ndr1_0
| ~ hskp24 ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_205,negated_conjecture,
( ndr1_0
| ~ hskp23 ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_228,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_229,negated_conjecture,
( hskp17
| hskp21
| hskp25 ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_230,negated_conjecture,
( hskp6
| hskp22
| hskp26 ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_231,negated_conjecture,
( hskp4
| hskp8
| hskp17 ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_232,negated_conjecture,
( hskp7
| hskp9
| hskp13 ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_233,negated_conjecture,
( hskp0
| hskp23
| hskp24 ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_234,negated_conjecture,
( c0_1(a11)
| ~ hskp27 ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_236,negated_conjecture,
( c3_1(a11)
| ~ hskp27 ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_237,negated_conjecture,
( c0_1(a10)
| ~ hskp26 ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_238,negated_conjecture,
( c2_1(a10)
| ~ hskp26 ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_239,negated_conjecture,
( c3_1(a10)
| ~ hskp26 ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_240,negated_conjecture,
( c0_1(a9)
| ~ hskp25 ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_241,negated_conjecture,
( c1_1(a9)
| ~ hskp25 ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_242,negated_conjecture,
( c2_1(a9)
| ~ hskp25 ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_243,negated_conjecture,
( c1_1(a3)
| ~ hskp24 ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_244,negated_conjecture,
( c2_1(a3)
| ~ hskp24 ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_245,negated_conjecture,
( c3_1(a3)
| ~ hskp24 ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_246,negated_conjecture,
( c3_1(a53)
| ~ hskp23 ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_247,negated_conjecture,
( c0_1(a45)
| ~ hskp22 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_248,negated_conjecture,
( c2_1(a42)
| ~ hskp21 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_249,negated_conjecture,
( c3_1(a42)
| ~ hskp21 ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_250,negated_conjecture,
( c1_1(a37)
| ~ hskp20 ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_251,negated_conjecture,
( c2_1(a33)
| ~ hskp19 ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_252,negated_conjecture,
( c3_1(a33)
| ~ hskp19 ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_253,negated_conjecture,
( c0_1(a31)
| ~ hskp17 ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_254,negated_conjecture,
( c2_1(a31)
| ~ hskp17 ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_255,negated_conjecture,
( c1_1(a30)
| ~ hskp16 ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_258,negated_conjecture,
( c2_1(a24)
| ~ hskp14 ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_259,negated_conjecture,
( c2_1(a19)
| ~ hskp11 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_260,negated_conjecture,
( c0_1(a18)
| ~ hskp10 ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_261,negated_conjecture,
( c2_1(a18)
| ~ hskp10 ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_262,negated_conjecture,
( c0_1(a16)
| ~ hskp9 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_263,negated_conjecture,
( c0_1(a15)
| ~ hskp8 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_264,negated_conjecture,
( c0_1(a14)
| ~ hskp7 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_265,negated_conjecture,
( c3_1(a14)
| ~ hskp7 ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_266,negated_conjecture,
( c0_1(a8)
| ~ hskp6 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_267,negated_conjecture,
( c1_1(a8)
| ~ hskp6 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_268,negated_conjecture,
( c1_1(a7)
| ~ hskp5 ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_269,negated_conjecture,
( c3_1(a7)
| ~ hskp5 ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_270,negated_conjecture,
( c1_1(a6)
| ~ hskp4 ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_271,negated_conjecture,
( c3_1(a6)
| ~ hskp4 ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_272,negated_conjecture,
( c1_1(a4)
| ~ hskp2 ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_273,negated_conjecture,
( c2_1(a2)
| ~ hskp1 ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_274,negated_conjecture,
( c3_1(a1)
| ~ hskp0 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_275,negated_conjecture,
( ~ hskp23
| ~ c0_1(a53) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_276,negated_conjecture,
( ~ hskp23
| ~ c1_1(a53) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_277,negated_conjecture,
( ~ hskp22
| ~ c1_1(a45) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_278,negated_conjecture,
( ~ hskp22
| ~ c3_1(a45) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_279,negated_conjecture,
( ~ hskp21
| ~ c1_1(a42) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_280,negated_conjecture,
( ~ hskp20
| ~ c0_1(a37) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_281,negated_conjecture,
( ~ hskp20
| ~ c3_1(a37) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_282,negated_conjecture,
( ~ hskp19
| ~ c0_1(a33) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_283,negated_conjecture,
( ~ hskp18
| ~ c0_1(a32) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_284,negated_conjecture,
( ~ hskp18
| ~ c1_1(a32) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_285,negated_conjecture,
( ~ hskp18
| ~ c3_1(a32) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_286,negated_conjecture,
( ~ hskp17
| ~ c1_1(a31) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_287,negated_conjecture,
( ~ hskp16
| ~ c0_1(a30) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_288,negated_conjecture,
( ~ hskp16
| ~ c2_1(a30) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_290,negated_conjecture,
( ~ hskp14
| ~ c0_1(a24) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_291,negated_conjecture,
( ~ hskp14
| ~ c1_1(a24) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_292,negated_conjecture,
( ~ hskp13
| ~ c0_1(a22) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_293,negated_conjecture,
( ~ hskp13
| ~ c2_1(a22) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_294,negated_conjecture,
( ~ hskp13
| ~ c3_1(a22) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_298,negated_conjecture,
( ~ hskp11
| ~ c1_1(a19) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_299,negated_conjecture,
( ~ hskp11
| ~ c3_1(a19) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_300,negated_conjecture,
( ~ hskp10
| ~ c3_1(a18) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_301,negated_conjecture,
( ~ hskp9
| ~ c2_1(a16) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_302,negated_conjecture,
( ~ hskp9
| ~ c3_1(a16) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_303,negated_conjecture,
( ~ hskp8
| ~ c1_1(a15) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_304,negated_conjecture,
( ~ hskp8
| ~ c2_1(a15) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_305,negated_conjecture,
( ~ hskp7
| ~ c2_1(a14) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_306,negated_conjecture,
( ~ hskp6
| ~ c2_1(a8) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_307,negated_conjecture,
( ~ hskp5
| ~ c0_1(a7) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_308,negated_conjecture,
( ~ hskp4
| ~ c2_1(a6) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_309,negated_conjecture,
( ~ hskp3
| ~ c1_1(a5) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_310,negated_conjecture,
( ~ hskp3
| ~ c2_1(a5) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_311,negated_conjecture,
( ~ hskp3
| ~ c3_1(a5) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_312,negated_conjecture,
( ~ hskp2
| ~ c2_1(a4) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_313,negated_conjecture,
( ~ hskp2
| ~ c3_1(a4) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_314,negated_conjecture,
( ~ hskp1
| ~ c0_1(a2) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_315,negated_conjecture,
( ~ hskp1
| ~ c3_1(a2) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_316,negated_conjecture,
( ~ hskp0
| ~ c0_1(a1) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_317,negated_conjecture,
( ~ hskp0
| ~ c2_1(a1) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_318,negated_conjecture,
! [X0: $i] :
( hskp7
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_319,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp3
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_320,negated_conjecture,
! [X0: $i] :
( hskp25
| hskp26
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_321,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp14
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_322,negated_conjecture,
! [X0: $i] :
( hskp6
| hskp26
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_323,negated_conjecture,
! [X0: $i] :
( hskp16
| hskp26
| c2_1(X0)
| c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_324,negated_conjecture,
! [X0: $i] :
( hskp26
| hskp27
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_326,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp9
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_328,negated_conjecture,
! [X0: $i] :
( hskp17
| hskp18
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_329,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp24
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_330,negated_conjecture,
! [X0: $i] :
( hskp20
| hskp26
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_331,negated_conjecture,
! [X0: $i] :
( hskp6
| hskp10
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_332,negated_conjecture,
! [X0: $i,X1: $i] :
( c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_333,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_334,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,[],[f134]) ).
tcf(c_335,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp24
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_336,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_337,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c2_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_338,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_339,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_340,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp15
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_341,negated_conjecture,
! [X0: $i,X1: $i] :
( c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_343,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c1_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_344,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c3_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_345,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c3_1(X1)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_347,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp19
| c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_348,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c3_1(X1)
| c3_1(X0)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_349,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c3_1(X0)
| c1_1(X0)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_350,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_351,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c3_1(X2)
| c3_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_352,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_360,plain,
( hskp9
| hskp24
| c2_1(a1)
| ~ ndr1_0
| ~ c3_1(a1)
| ~ c1_1(a1) ),
inference(instantiation,[status(thm)],[c_329]) ).
tcf(c_369,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_228,c_233,c_228,c_205,c_204]) ).
tcf(c_425,negated_conjecture,
! [X0: $i] :
( hskp7
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_318,c_233,c_228,c_205,c_204,c_318]) ).
tcf(c_428,negated_conjecture,
! [X0: $i] :
( hskp16
| hskp26
| c2_1(X0)
| c3_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_323,c_233,c_228,c_205,c_204,c_323]) ).
tcf(c_431,negated_conjecture,
! [X0: $i] :
( hskp6
| hskp26
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_322,c_233,c_228,c_205,c_204,c_322]) ).
tcf(c_434,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp14
| c2_1(X0)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_321,c_233,c_228,c_205,c_204,c_321]) ).
tcf(c_437,negated_conjecture,
! [X0: $i] :
( hskp25
| hskp26
| c3_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_320,c_233,c_228,c_205,c_204,c_320]) ).
tcf(c_440,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp3
| c1_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_319,c_233,c_228,c_205,c_204,c_319]) ).
tcf(c_443,plain,
! [X0: $i] :
( hskp20
| hskp26
| c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_330,c_233,c_228,c_205,c_204,c_330]) ).
tcf(c_444,negated_conjecture,
! [X0: $i] :
( hskp20
| hskp26
| c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_443]) ).
tcf(c_446,plain,
! [X0: $i] :
( hskp9
| hskp24
| c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_329,c_233,c_228,c_205,c_204,c_329]) ).
tcf(c_447,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp24
| c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_446]) ).
tcf(c_449,plain,
! [X0: $i] :
( hskp17
| hskp18
| c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_328,c_233,c_228,c_205,c_204,c_328]) ).
tcf(c_450,negated_conjecture,
! [X0: $i] :
( hskp17
| hskp18
| c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_449]) ).
tcf(c_455,plain,
! [X0: $i] :
( hskp8
| hskp9
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_326,c_233,c_228,c_205,c_204,c_326]) ).
tcf(c_456,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp9
| c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_455]) ).
tcf(c_461,plain,
! [X0: $i] :
( hskp26
| hskp27
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_324,c_233,c_228,c_205,c_204,c_324]) ).
tcf(c_462,negated_conjecture,
! [X0: $i] :
( hskp26
| hskp27
| c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_461]) ).
tcf(c_464,plain,
! [X0: $i] :
( hskp6
| hskp10
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_331,c_233,c_228,c_205,c_204,c_331]) ).
tcf(c_465,negated_conjecture,
! [X0: $i] :
( hskp6
| hskp10
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_464]) ).
tcf(c_467,plain,
! [X0: $i,X1: $i] :
( c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_332,c_233,c_228,c_205,c_204,c_332]) ).
tcf(c_468,negated_conjecture,
! [X0: $i,X1: $i] :
( c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_467]) ).
tcf(c_469,plain,
! [X0: $i,X1: $i] :
( hskp4
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_336,c_233,c_228,c_205,c_204,c_336]) ).
tcf(c_470,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_469]) ).
tcf(c_471,plain,
! [X0: $i,X1: $i] :
( hskp24
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_335,c_233,c_228,c_205,c_204,c_335]) ).
tcf(c_472,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp24
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_471]) ).
tcf(c_473,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_334,c_233,c_228,c_205,c_204,c_334]) ).
tcf(c_474,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_473]) ).
tcf(c_475,plain,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_333,c_233,c_228,c_205,c_204,c_333]) ).
tcf(c_476,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_475]) ).
tcf(c_477,plain,
! [X0: $i,X1: $i] :
( c3_1(X1)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_341,c_233,c_228,c_205,c_204,c_341]) ).
tcf(c_478,negated_conjecture,
! [X0: $i,X1: $i] :
( c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_477]) ).
tcf(c_479,plain,
! [X0: $i,X1: $i] :
( hskp15
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_340,c_233,c_228,c_205,c_204,c_340]) ).
tcf(c_480,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp15
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_479]) ).
tcf(c_482,plain,
! [X0: $i,X1: $i] :
( hskp13
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_339,c_233,c_228,c_205,c_204,c_339]) ).
tcf(c_483,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_482]) ).
tcf(c_485,plain,
! [X0: $i,X1: $i] :
( hskp4
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_338,c_233,c_228,c_205,c_204,c_338]) ).
tcf(c_486,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_485]) ).
tcf(c_487,plain,
! [X0: $i,X1: $i] :
( hskp5
| c2_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_337,c_233,c_228,c_205,c_204,c_337]) ).
tcf(c_488,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c2_1(X1)
| c3_1(X0)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_487]) ).
tcf(c_489,plain,
! [X0: $i,X1: $i] :
( hskp11
| c3_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_344,c_233,c_228,c_205,c_204,c_344]) ).
tcf(c_490,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c3_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_489]) ).
tcf(c_491,plain,
! [X0: $i,X1: $i] :
( hskp10
| c1_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_343,c_233,c_228,c_205,c_204,c_343]) ).
tcf(c_492,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c1_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_491]) ).
tcf(c_495,plain,
! [X0: $i,X1: $i] :
( hskp19
| c2_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_347,c_233,c_228,c_205,c_204,c_347]) ).
tcf(c_496,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp19
| c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_495]) ).
tcf(c_499,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c3_1(X1)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_345,c_233,c_228,c_205,c_204,c_345]) ).
tcf(c_501,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c3_1(X0)
| c1_1(X0)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_349,c_233,c_228,c_205,c_204,c_349]) ).
tcf(c_502,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c3_1(X0)
| c1_1(X0)
| c0_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_501]) ).
tcf(c_503,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c3_1(X1)
| c3_1(X0)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_348,c_233,c_228,c_205,c_204,c_348]) ).
tcf(c_504,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c3_1(X1)
| c3_1(X0)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_503]) ).
tcf(c_505,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_350,c_350,c_369]) ).
tcf(c_506,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_505]) ).
tcf(c_507,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c3_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_352,c_233,c_228,c_205,c_204,c_352]) ).
tcf(c_508,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c3_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_507]) ).
tcf(c_509,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c3_1(X2)
| c3_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_351,c_233,c_228,c_205,c_204,c_351]) ).
tcf(c_510,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c3_1(X2)
| c3_1(X1)
| c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_509]) ).
tcf(c_1335,plain,
( hskp0
| hskp24
| ~ c1_1(a53) ),
inference(resolution,[status(thm)],[c_233,c_276]) ).
tcf(c_1345,plain,
( hskp0
| hskp24
| ~ c0_1(a53) ),
inference(resolution,[status(thm)],[c_233,c_275]) ).
tcf(c_1355,plain,
( hskp0
| hskp24
| c3_1(a53) ),
inference(resolution,[status(thm)],[c_233,c_246]) ).
tcf(c_1374,plain,
( hskp6
| hskp26
| ~ c3_1(a45) ),
inference(resolution,[status(thm)],[c_230,c_278]) ).
tcf(c_1384,plain,
( hskp6
| hskp26
| ~ c1_1(a45) ),
inference(resolution,[status(thm)],[c_230,c_277]) ).
tcf(c_1394,plain,
( hskp6
| hskp26
| c0_1(a45) ),
inference(resolution,[status(thm)],[c_230,c_247]) ).
tcf(c_1413,plain,
( hskp17
| hskp25
| ~ c1_1(a42) ),
inference(resolution,[status(thm)],[c_229,c_279]) ).
tcf(c_1423,plain,
( hskp17
| hskp25
| c3_1(a42) ),
inference(resolution,[status(thm)],[c_229,c_249]) ).
tcf(c_1433,plain,
( hskp17
| hskp25
| c2_1(a42) ),
inference(resolution,[status(thm)],[c_229,c_248]) ).
tcf(c_2337,plain,
( hskp4
| hskp17
| ~ c2_1(a15) ),
inference(resolution,[status(thm)],[c_231,c_304]) ).
tcf(c_2357,plain,
( hskp4
| hskp17
| c0_1(a15) ),
inference(resolution,[status(thm)],[c_231,c_263]) ).
tcf(c_2460,plain,
( hskp7
| hskp9
| ~ c3_1(a22) ),
inference(resolution,[status(thm)],[c_232,c_294]) ).
tcf(c_2470,plain,
( hskp7
| hskp9
| ~ c2_1(a22) ),
inference(resolution,[status(thm)],[c_232,c_293]) ).
tcf(c_2480,plain,
( hskp7
| hskp9
| ~ c0_1(a22) ),
inference(resolution,[status(thm)],[c_232,c_292]) ).
tcf(c_2898,plain,
( hskp9
| hskp13
| ~ c2_1(a14) ),
inference(resolution,[status(thm)],[c_232,c_305]) ).
tcf(c_2908,plain,
( hskp9
| hskp13
| c3_1(a14) ),
inference(resolution,[status(thm)],[c_232,c_265]) ).
tcf(c_2918,plain,
( hskp9
| hskp13
| c0_1(a14) ),
inference(resolution,[status(thm)],[c_232,c_264]) ).
tcf(c_3516,plain,
( hskp24
| c3_1(a53)
| ~ c2_1(a1) ),
inference(resolution,[status(thm)],[c_1355,c_317]) ).
tcf(c_3526,plain,
( hskp24
| c3_1(a53)
| ~ c0_1(a1) ),
inference(resolution,[status(thm)],[c_1355,c_316]) ).
tcf(c_3536,plain,
( hskp24
| c3_1(a1)
| c3_1(a53) ),
inference(resolution,[status(thm)],[c_1355,c_274]) ).
tcf(c_3546,plain,
( hskp24
| ~ c2_1(a1)
| ~ c0_1(a53) ),
inference(resolution,[status(thm)],[c_1345,c_317]) ).
tcf(c_3556,plain,
( hskp24
| ~ c0_1(a1)
| ~ c0_1(a53) ),
inference(resolution,[status(thm)],[c_1345,c_316]) ).
tcf(c_3566,plain,
( hskp24
| c3_1(a1)
| ~ c0_1(a53) ),
inference(resolution,[status(thm)],[c_1345,c_274]) ).
tcf(c_3576,plain,
( hskp24
| ~ c2_1(a1)
| ~ c1_1(a53) ),
inference(resolution,[status(thm)],[c_1335,c_317]) ).
tcf(c_3586,plain,
( hskp24
| ~ c1_1(a53)
| ~ c0_1(a1) ),
inference(resolution,[status(thm)],[c_1335,c_316]) ).
tcf(c_3596,plain,
( hskp24
| c3_1(a1)
| ~ c1_1(a53) ),
inference(resolution,[status(thm)],[c_1335,c_274]) ).
tcf(c_3720,plain,
( hskp25
| c2_1(a42)
| ~ c1_1(a31) ),
inference(resolution,[status(thm)],[c_1433,c_286]) ).
tcf(c_3730,plain,
( hskp25
| c2_1(a31)
| c2_1(a42) ),
inference(resolution,[status(thm)],[c_1433,c_254]) ).
tcf(c_3750,plain,
( hskp25
| c3_1(a42)
| ~ c1_1(a31) ),
inference(resolution,[status(thm)],[c_1423,c_286]) ).
tcf(c_3760,plain,
( hskp25
| c2_1(a31)
| c3_1(a42) ),
inference(resolution,[status(thm)],[c_1423,c_254]) ).
tcf(c_3770,plain,
( hskp25
| c3_1(a42)
| c0_1(a31) ),
inference(resolution,[status(thm)],[c_1423,c_253]) ).
tcf(c_3780,plain,
( hskp25
| ~ c1_1(a31)
| ~ c1_1(a42) ),
inference(resolution,[status(thm)],[c_1413,c_286]) ).
tcf(c_3790,plain,
( hskp25
| c2_1(a31)
| ~ c1_1(a42) ),
inference(resolution,[status(thm)],[c_1413,c_254]) ).
tcf(c_3861,plain,
( hskp4
| hskp8
| ~ c1_1(a31) ),
inference(resolution,[status(thm)],[c_231,c_286]) ).
tcf(c_3871,plain,
( hskp4
| hskp8
| c2_1(a31) ),
inference(resolution,[status(thm)],[c_231,c_254]) ).
tcf(c_3881,plain,
( hskp4
| hskp8
| c0_1(a31) ),
inference(resolution,[status(thm)],[c_231,c_253]) ).
tcf(c_9699,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_510]) ).
tcf(c_9700,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ~ c1_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_510]) ).
tcf(c_9701,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_510]) ).
tcf(c_9702,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_510]) ).
tcf(c_9703,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_508]) ).
tcf(c_9704,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_508]) ).
tcf(c_9705,negated_conjecture,
( iPr_def_14
| iPr_def_13
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_508]) ).
tcf(c_9706,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_506]) ).
tcf(c_9707,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_506]) ).
tcf(c_9708,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_506]) ).
tcf(c_9709,negated_conjecture,
( iPr_def_17
| iPr_def_16
| iPr_def_15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_506]) ).
tcf(c_9710,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_504]) ).
tcf(c_9711,negated_conjecture,
( iPr_def_18
| iPr_def_16
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_504]) ).
tcf(c_9712,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| ~ c1_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_502]) ).
tcf(c_9713,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_502]) ).
tcf(c_9714,negated_conjecture,
( iPr_def_20
| iPr_def_19
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_502]) ).
tcf(c_9715,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_499]) ).
tcf(c_9716,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_499]) ).
tcf(c_9717,negated_conjecture,
( iPr_def_22
| iPr_def_21
| iPr_def_20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_499]) ).
tcf(c_9720,negated_conjecture,
( iPr_def_19
| iPr_def_12
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_496]) ).
tcf(c_9723,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_492]) ).
tcf(c_9724,negated_conjecture,
( iPr_def_25
| iPr_def_15
| hskp10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_492]) ).
tcf(c_9725,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_26
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_490]) ).
tcf(c_9726,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_27
| ~ c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_490]) ).
tcf(c_9727,negated_conjecture,
( iPr_def_27
| iPr_def_26
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_490]) ).
tcf(c_9728,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_488]) ).
tcf(c_9729,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| ~ c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_488]) ).
tcf(c_9730,negated_conjecture,
( iPr_def_29
| iPr_def_28
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).
tcf(c_9731,negated_conjecture,
( iPr_def_25
| iPr_def_18
| hskp4 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_486]) ).
tcf(c_9732,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_30
| ~ c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_483]) ).
tcf(c_9733,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_483]) ).
tcf(c_9734,negated_conjecture,
( iPr_def_31
| iPr_def_30
| hskp13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_483]) ).
tcf(c_9736,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_33
| ~ c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_480]) ).
tcf(c_9738,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_34
| c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_478]) ).
tcf(c_9739,negated_conjecture,
( iPr_def_34
| iPr_def_14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_478]) ).
tcf(c_9740,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_35
| ~ c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_476]) ).
tcf(c_9741,negated_conjecture,
( iPr_def_35
| iPr_def_21
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_476]) ).
tcf(c_9742,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_36
| c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_474]) ).
tcf(c_9743,negated_conjecture,
( iPr_def_36
| iPr_def_15
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_474]) ).
tcf(c_9744,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_37
| ~ c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_472]) ).
tcf(c_9745,negated_conjecture,
( iPr_def_37
| iPr_def_36
| hskp24 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_472]) ).
tcf(c_9746,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_38
| c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_470]) ).
tcf(c_9747,negated_conjecture,
( iPr_def_38
| iPr_def_30
| hskp4 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_470]) ).
tcf(c_9748,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_39
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_468]) ).
tcf(c_9749,negated_conjecture,
( iPr_def_39
| iPr_def_36 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_468]) ).
tcf(c_9750,negated_conjecture,
( iPr_def_12
| hskp6
| hskp10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_465]) ).
tcf(c_9751,negated_conjecture,
( iPr_def_39
| hskp26
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_462]) ).
tcf(c_9753,negated_conjecture,
( iPr_def_39
| hskp8
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_456]) ).
tcf(c_9755,negated_conjecture,
( iPr_def_33
| hskp17
| hskp18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_450]) ).
tcf(c_9756,negated_conjecture,
( iPr_def_19
| hskp9
| hskp24 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_447]) ).
tcf(c_9757,negated_conjecture,
( iPr_def_27
| hskp20
| hskp26 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_444]) ).
tcf(c_9758,negated_conjecture,
( iPr_def_16
| hskp2
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_440]) ).
tcf(c_9759,negated_conjecture,
( iPr_def_10
| hskp25
| hskp26 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_437]) ).
tcf(c_9760,negated_conjecture,
( iPr_def_30
| hskp2
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_434]) ).
tcf(c_9761,negated_conjecture,
( iPr_def_34
| hskp6
| hskp26 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).
tcf(c_9762,negated_conjecture,
( iPr_def_13
| hskp16
| hskp26 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_428]) ).
tcf(c_9764,plain,
( c2_1(a1)
| c1_1(a1)
| c0_1(a1)
| ~ iPr_def_21 ),
inference(instantiation,[status(thm)],[c_9715]) ).
tcf(c_9770,plain,
( c1_1(a1)
| c0_1(a1)
| ~ iPr_def_16
| ~ c2_1(a1) ),
inference(instantiation,[status(thm)],[c_9707]) ).
tcf(c_9773,plain,
( c2_1(a1)
| c0_1(a1)
| ~ iPr_def_22
| ~ c3_1(a1) ),
inference(instantiation,[status(thm)],[c_9716]) ).
tcf(c_9778,plain,
( c1_1(a1)
| c0_1(a1)
| ~ iPr_def_38
| ~ c3_1(a1) ),
inference(instantiation,[status(thm)],[c_9746]) ).
tcf(c_9780,plain,
( c2_1(a1)
| ~ iPr_def_19
| ~ c3_1(a1)
| ~ c1_1(a1) ),
inference(instantiation,[status(thm)],[c_9712]) ).
tcf(c_9781,plain,
( c0_1(a1)
| ~ iPr_def_25
| ~ c3_1(a1)
| ~ c1_1(a1) ),
inference(instantiation,[status(thm)],[c_9723]) ).
tcf(c_9795,plain,
( c2_1(a22)
| c3_1(a22)
| ~ iPr_def_11
| ~ c1_1(a22) ),
inference(instantiation,[status(thm)],[c_9700]) ).
tcf(c_9797,plain,
( c2_1(a16)
| c3_1(a16)
| ~ iPr_def_11
| ~ c1_1(a16) ),
inference(instantiation,[status(thm)],[c_9700]) ).
tcf(c_9798,plain,
( c2_1(a4)
| c3_1(a4)
| ~ iPr_def_11
| ~ c1_1(a4) ),
inference(instantiation,[status(thm)],[c_9700]) ).
tcf(c_9800,plain,
( ~ iPr_def_14
| ~ c2_1(a9)
| ~ c3_1(a9)
| ~ c0_1(a9) ),
inference(instantiation,[status(thm)],[c_9704]) ).
tcf(c_9802,plain,
( ~ iPr_def_14
| ~ c2_1(a31)
| ~ c3_1(a31)
| ~ c0_1(a31) ),
inference(instantiation,[status(thm)],[c_9704]) ).
tcf(c_9806,plain,
( c1_1(a33)
| ~ iPr_def_15
| ~ c2_1(a33)
| ~ c3_1(a33) ),
inference(instantiation,[status(thm)],[c_9706]) ).
tcf(c_9807,plain,
( c1_1(a31)
| ~ iPr_def_15
| ~ c2_1(a31)
| ~ c3_1(a31) ),
inference(instantiation,[status(thm)],[c_9706]) ).
tcf(c_9810,plain,
( c2_1(a37)
| c3_1(a37)
| c0_1(a37)
| ~ iPr_def_20 ),
inference(instantiation,[status(thm)],[c_9713]) ).
tcf(c_9812,plain,
( c2_1(a22)
| c3_1(a22)
| c0_1(a22)
| ~ iPr_def_20 ),
inference(instantiation,[status(thm)],[c_9713]) ).
tcf(c_9815,plain,
( c2_1(a4)
| c3_1(a4)
| c0_1(a4)
| ~ iPr_def_20 ),
inference(instantiation,[status(thm)],[c_9713]) ).
tcf(c_9819,plain,
( c3_1(a22)
| c1_1(a22)
| c0_1(a22)
| ~ iPr_def_36 ),
inference(instantiation,[status(thm)],[c_9742]) ).
tcf(c_9830,plain,
( c3_1(a5)
| c1_1(a5)
| c0_1(a5)
| ~ iPr_def_36 ),
inference(instantiation,[status(thm)],[c_9742]) ).
tcf(c_9831,plain,
( c2_1(a5)
| c3_1(a5)
| c0_1(a5)
| ~ iPr_def_20 ),
inference(instantiation,[status(thm)],[c_9713]) ).
tcf(c_9833,plain,
( c1_1(a24)
| ~ iPr_def_15
| ~ c2_1(a24)
| ~ c3_1(a24) ),
inference(instantiation,[status(thm)],[c_9706]) ).
tcf(c_9840,plain,
( c3_1(a31)
| c1_1(a31)
| c0_1(a31)
| ~ iPr_def_36 ),
inference(instantiation,[status(thm)],[c_9742]) ).
tcf(c_9856,plain,
( c1_1(a31)
| ~ iPr_def_31
| ~ c3_1(a31)
| ~ c0_1(a31) ),
inference(instantiation,[status(thm)],[c_9733]) ).
tcf(c_9859,plain,
( c1_1(a14)
| ~ iPr_def_31
| ~ c3_1(a14)
| ~ c0_1(a14) ),
inference(instantiation,[status(thm)],[c_9733]) ).
tcf(c_9876,plain,
( c3_1(a24)
| c1_1(a24)
| c0_1(a24)
| ~ iPr_def_36 ),
inference(instantiation,[status(thm)],[c_9742]) ).
tcf(c_9903,plain,
( c3_1(a16)
| ~ iPr_def_37
| ~ c1_1(a16)
| ~ c0_1(a16) ),
inference(instantiation,[status(thm)],[c_9744]) ).
tcf(c_9905,plain,
( c3_1(a8)
| ~ iPr_def_37
| ~ c1_1(a8)
| ~ c0_1(a8) ),
inference(instantiation,[status(thm)],[c_9744]) ).
tcf(c_9910,plain,
( c0_1(a33)
| ~ iPr_def_39
| ~ c2_1(a33)
| ~ c1_1(a33) ),
inference(instantiation,[status(thm)],[c_9748]) ).
tcf(c_9914,plain,
( c0_1(a2)
| ~ iPr_def_39
| ~ c2_1(a2)
| ~ c1_1(a2) ),
inference(instantiation,[status(thm)],[c_9748]) ).
tcf(c_9916,plain,
( c0_1(a37)
| ~ iPr_def_39
| ~ c2_1(a37)
| ~ c1_1(a37) ),
inference(instantiation,[status(thm)],[c_9748]) ).
tcf(c_9921,plain,
( c0_1(a3)
| ~ iPr_def_39
| ~ c2_1(a3)
| ~ c1_1(a3) ),
inference(instantiation,[status(thm)],[c_9748]) ).
tcf(c_9923,plain,
( ~ iPr_def_14
| ~ c2_1(a3)
| ~ c3_1(a3)
| ~ c0_1(a3) ),
inference(instantiation,[status(thm)],[c_9704]) ).
tcf(c_9929,plain,
( ~ iPr_def_12
| ~ c2_1(a9)
| ~ c1_1(a9)
| ~ c0_1(a9) ),
inference(instantiation,[status(thm)],[c_9701]) ).
tcf(c_9930,plain,
( ~ iPr_def_12
| ~ c2_1(a3)
| ~ c1_1(a3)
| ~ c0_1(a3) ),
inference(instantiation,[status(thm)],[c_9701]) ).
tcf(c_9948,plain,
( ~ iPr_def_14
| ~ c2_1(a10)
| ~ c3_1(a10)
| ~ c0_1(a10) ),
inference(instantiation,[status(thm)],[c_9704]) ).
tcf(c_9960,plain,
( c3_1(a31)
| c1_1(a31)
| ~ iPr_def_34
| ~ c2_1(a31) ),
inference(instantiation,[status(thm)],[c_9738]) ).
tcf(c_9961,plain,
( c3_1(a24)
| c1_1(a24)
| ~ iPr_def_34
| ~ c2_1(a24) ),
inference(instantiation,[status(thm)],[c_9738]) ).
tcf(c_9962,plain,
( c3_1(a19)
| c1_1(a19)
| ~ iPr_def_34
| ~ c2_1(a19) ),
inference(instantiation,[status(thm)],[c_9738]) ).
tcf(c_9974,plain,
( c2_1(a30)
| ~ iPr_def_19
| ~ c3_1(a30)
| ~ c1_1(a30) ),
inference(instantiation,[status(thm)],[c_9712]) ).
tcf(c_9976,plain,
( c2_1(a8)
| ~ iPr_def_19
| ~ c3_1(a8)
| ~ c1_1(a8) ),
inference(instantiation,[status(thm)],[c_9712]) ).
tcf(c_9977,plain,
( c2_1(a7)
| ~ iPr_def_19
| ~ c3_1(a7)
| ~ c1_1(a7) ),
inference(instantiation,[status(thm)],[c_9712]) ).
tcf(c_9978,plain,
( c2_1(a6)
| ~ iPr_def_19
| ~ c3_1(a6)
| ~ c1_1(a6) ),
inference(instantiation,[status(thm)],[c_9712]) ).
tcf(c_9981,plain,
( c2_1(a14)
| ~ iPr_def_19
| ~ c3_1(a14)
| ~ c1_1(a14) ),
inference(instantiation,[status(thm)],[c_9712]) ).
tcf(c_9989,plain,
( c3_1(a32)
| c1_1(a32)
| c0_1(a32)
| ~ iPr_def_36 ),
inference(instantiation,[status(thm)],[c_9742]) ).
tcf(c_9990,plain,
( c2_1(a32)
| c3_1(a32)
| c0_1(a32)
| ~ iPr_def_20 ),
inference(instantiation,[status(thm)],[c_9713]) ).
tcf(c_9997,plain,
( c2_1(a16)
| c1_1(a16)
| ~ iPr_def_30
| ~ c0_1(a16) ),
inference(instantiation,[status(thm)],[c_9732]) ).
tcf(c_9998,plain,
( c2_1(a14)
| c1_1(a14)
| ~ iPr_def_30
| ~ c0_1(a14) ),
inference(instantiation,[status(thm)],[c_9732]) ).
tcf(c_10003,plain,
( c2_1(a5)
| c1_1(a5)
| ~ iPr_def_30
| ~ c0_1(a5) ),
inference(instantiation,[status(thm)],[c_9732]) ).
tcf(c_10010,plain,
( c0_1(a3)
| ~ iPr_def_26
| ~ c2_1(a3)
| ~ c3_1(a3) ),
inference(instantiation,[status(thm)],[c_9725]) ).
tcf(c_10020,plain,
( ~ iPr_def_14
| ~ c2_1(a11)
| ~ c3_1(a11)
| ~ c0_1(a11) ),
inference(instantiation,[status(thm)],[c_9704]) ).
tcf(c_10024,plain,
( c2_1(a30)
| c3_1(a30)
| c0_1(a30)
| ~ iPr_def_20 ),
inference(instantiation,[status(thm)],[c_9713]) ).
tcf(c_10042,plain,
( hskp7
| c3_1(a31)
| c1_1(a31)
| ~ c2_1(a31) ),
inference(instantiation,[status(thm)],[c_425]) ).
tcf(c_10057,plain,
( c3_1(a37)
| c0_1(a37)
| ~ iPr_def_10
| ~ c2_1(a37) ),
inference(instantiation,[status(thm)],[c_9699]) ).
tcf(c_10060,plain,
( c3_1(a30)
| c0_1(a30)
| ~ iPr_def_10
| ~ c2_1(a30) ),
inference(instantiation,[status(thm)],[c_9699]) ).
tcf(c_10063,plain,
( c2_1(a30)
| c3_1(a30)
| ~ iPr_def_13
| ~ c0_1(a30) ),
inference(instantiation,[status(thm)],[c_9703]) ).
tcf(c_10065,plain,
( c2_1(a16)
| c3_1(a16)
| ~ iPr_def_13
| ~ c0_1(a16) ),
inference(instantiation,[status(thm)],[c_9703]) ).
tcf(c_10067,plain,
( c2_1(a8)
| c3_1(a8)
| ~ iPr_def_13
| ~ c0_1(a8) ),
inference(instantiation,[status(thm)],[c_9703]) ).
tcf(c_10069,plain,
( c2_1(a4)
| c3_1(a4)
| ~ iPr_def_13
| ~ c0_1(a4) ),
inference(instantiation,[status(thm)],[c_9703]) ).
tcf(c_10077,plain,
( c2_1(a15)
| c3_1(a15)
| ~ iPr_def_13
| ~ c0_1(a15) ),
inference(instantiation,[status(thm)],[c_9703]) ).
tcf(c_10087,plain,
( c3_1(a31)
| c1_1(a31)
| ~ iPr_def_18
| ~ c0_1(a31) ),
inference(instantiation,[status(thm)],[c_9710]) ).
tcf(c_10089,plain,
( c3_1(a19)
| c1_1(a19)
| ~ iPr_def_18
| ~ c0_1(a19) ),
inference(instantiation,[status(thm)],[c_9710]) ).
tcf(c_10090,plain,
( c3_1(a15)
| c1_1(a15)
| ~ iPr_def_18
| ~ c0_1(a15) ),
inference(instantiation,[status(thm)],[c_9710]) ).
tcf(c_10091,plain,
( c3_1(a5)
| c1_1(a5)
| ~ iPr_def_18
| ~ c0_1(a5) ),
inference(instantiation,[status(thm)],[c_9710]) ).
tcf(c_10093,plain,
( c3_1(a16)
| c1_1(a16)
| ~ iPr_def_18
| ~ c0_1(a16) ),
inference(instantiation,[status(thm)],[c_9710]) ).
tcf(c_10096,plain,
( c0_1(a33)
| ~ iPr_def_26
| ~ c2_1(a33)
| ~ c3_1(a33) ),
inference(instantiation,[status(thm)],[c_9725]) ).
tcf(c_10099,plain,
( c0_1(a7)
| ~ iPr_def_26
| ~ c2_1(a7)
| ~ c3_1(a7) ),
inference(instantiation,[status(thm)],[c_9725]) ).
tcf(c_10101,plain,
( c3_1(a32)
| c1_1(a32)
| ~ iPr_def_34
| ~ c2_1(a32) ),
inference(instantiation,[status(thm)],[c_9738]) ).
tcf(c_10111,plain,
( c1_1(a33)
| c0_1(a33)
| ~ iPr_def_38
| ~ c3_1(a33) ),
inference(instantiation,[status(thm)],[c_9746]) ).
tcf(c_10119,plain,
( c0_1(a30)
| ~ iPr_def_39
| ~ c2_1(a30)
| ~ c1_1(a30) ),
inference(instantiation,[status(thm)],[c_9748]) ).
tcf(c_10120,plain,
( c0_1(a7)
| ~ iPr_def_39
| ~ c2_1(a7)
| ~ c1_1(a7) ),
inference(instantiation,[status(thm)],[c_9748]) ).
tcf(c_10123,plain,
( c3_1(a2)
| c1_1(a2)
| ~ iPr_def_34
| ~ c2_1(a2) ),
inference(instantiation,[status(thm)],[c_9738]) ).
tcf(c_10130,plain,
( c2_1(a11)
| ~ iPr_def_33
| ~ c3_1(a11)
| ~ c0_1(a11) ),
inference(instantiation,[status(thm)],[c_9736]) ).
tcf(c_10135,plain,
( c2_1(a6)
| ~ iPr_def_33
| ~ c3_1(a6)
| ~ c0_1(a6) ),
inference(instantiation,[status(thm)],[c_9736]) ).
tcf(c_10149,plain,
( c3_1(a30)
| c1_1(a30)
| c0_1(a30)
| ~ iPr_def_36 ),
inference(instantiation,[status(thm)],[c_9742]) ).
tcf(c_10162,plain,
( c1_1(a53)
| c0_1(a53)
| ~ iPr_def_38
| ~ c3_1(a53) ),
inference(instantiation,[status(thm)],[c_9746]) ).
tcf(c_10165,plain,
( c2_1(a53)
| c1_1(a53)
| c0_1(a53)
| ~ iPr_def_21 ),
inference(instantiation,[status(thm)],[c_9715]) ).
tcf(c_10175,plain,
( c1_1(a42)
| ~ iPr_def_15
| ~ c2_1(a42)
| ~ c3_1(a42) ),
inference(instantiation,[status(thm)],[c_9706]) ).
tcf(c_10178,plain,
( ~ iPr_def_14
| ~ c2_1(a42)
| ~ c3_1(a42)
| ~ c0_1(a42) ),
inference(instantiation,[status(thm)],[c_9704]) ).
tcf(c_10200,plain,
( c1_1(a24)
| c0_1(a24)
| ~ iPr_def_38
| ~ c3_1(a24) ),
inference(instantiation,[status(thm)],[c_9746]) ).
tcf(c_10201,plain,
( c0_1(a24)
| ~ iPr_def_26
| ~ c2_1(a24)
| ~ c3_1(a24) ),
inference(instantiation,[status(thm)],[c_9725]) ).
tcf(c_10202,plain,
( c3_1(a24)
| c0_1(a24)
| ~ iPr_def_10
| ~ c2_1(a24) ),
inference(instantiation,[status(thm)],[c_9699]) ).
tcf(c_10235,plain,
( c1_1(a42)
| c0_1(a42)
| ~ iPr_def_16
| ~ c2_1(a42) ),
inference(instantiation,[status(thm)],[c_9707]) ).
tcf(c_10347,plain,
( c0_1(a33)
| ~ iPr_def_25
| ~ c3_1(a33)
| ~ c1_1(a33) ),
inference(instantiation,[status(thm)],[c_9723]) ).
tcf(c_10348,plain,
( c0_1(a30)
| ~ iPr_def_25
| ~ c3_1(a30)
| ~ c1_1(a30) ),
inference(instantiation,[status(thm)],[c_9723]) ).
tcf(c_10350,plain,
( c0_1(a7)
| ~ iPr_def_25
| ~ c3_1(a7)
| ~ c1_1(a7) ),
inference(instantiation,[status(thm)],[c_9723]) ).
tcf(c_10352,plain,
( c0_1(a6)
| ~ iPr_def_25
| ~ c3_1(a6)
| ~ c1_1(a6) ),
inference(instantiation,[status(thm)],[c_9723]) ).
tcf(c_10354,plain,
( c3_1(a37)
| c0_1(a37)
| ~ iPr_def_17
| ~ c1_1(a37) ),
inference(instantiation,[status(thm)],[c_9708]) ).
tcf(c_10356,plain,
( c3_1(a30)
| c0_1(a30)
| ~ iPr_def_17
| ~ c1_1(a30) ),
inference(instantiation,[status(thm)],[c_9708]) ).
tcf(c_10369,plain,
( c2_1(a42)
| c1_1(a42)
| c0_1(a42)
| ~ iPr_def_21 ),
inference(instantiation,[status(thm)],[c_9715]) ).
tcf(c_10423,plain,
( c3_1(a19)
| c0_1(a19)
| ~ iPr_def_10
| ~ c2_1(a19) ),
inference(instantiation,[status(thm)],[c_9699]) ).
tcf(c_10464,plain,
( c2_1(a53)
| c0_1(a53)
| ~ iPr_def_22
| ~ c3_1(a53) ),
inference(instantiation,[status(thm)],[c_9716]) ).
tcf(c_10469,plain,
( c2_1(a6)
| c0_1(a6)
| ~ iPr_def_22
| ~ c3_1(a6) ),
inference(instantiation,[status(thm)],[c_9716]) ).
tcf(c_10470,plain,
( c2_1(a42)
| c0_1(a42)
| ~ iPr_def_22
| ~ c3_1(a42) ),
inference(instantiation,[status(thm)],[c_9716]) ).
tcf(c_10501,plain,
( c2_1(a15)
| c1_1(a15)
| ~ iPr_def_30
| ~ c0_1(a15) ),
inference(instantiation,[status(thm)],[c_9732]) ).
tcf(c_10535,plain,
( c0_1(a3)
| ~ iPr_def_25
| ~ c3_1(a3)
| ~ c1_1(a3) ),
inference(instantiation,[status(thm)],[c_9723]) ).
tcf(c_10555,plain,
( c2_1(a15)
| ~ iPr_def_33
| ~ c3_1(a15)
| ~ c0_1(a15) ),
inference(instantiation,[status(thm)],[c_9736]) ).
tcf(c_10558,plain,
( c1_1(a15)
| ~ iPr_def_31
| ~ c3_1(a15)
| ~ c0_1(a15) ),
inference(instantiation,[status(thm)],[c_9733]) ).
tcf(c_10567,plain,
( c3_1(a9)
| ~ iPr_def_27
| ~ c2_1(a9)
| ~ c0_1(a9) ),
inference(instantiation,[status(thm)],[c_9726]) ).
tcf(c_10654,plain,
( c1_1(a31)
| c0_1(a31)
| ~ iPr_def_16
| ~ c2_1(a31) ),
inference(instantiation,[status(thm)],[c_9707]) ).
tcf(c_10655,plain,
( c1_1(a31)
| ~ iPr_def_35
| ~ c2_1(a31)
| ~ c0_1(a31) ),
inference(instantiation,[status(thm)],[c_9740]) ).
tcf(c_10657,plain,
( c3_1(a31)
| ~ iPr_def_27
| ~ c2_1(a31)
| ~ c0_1(a31) ),
inference(instantiation,[status(thm)],[c_9726]) ).
tcf(c_10673,plain,
( c3_1(a18)
| ~ iPr_def_29
| ~ c2_1(a18)
| ~ c1_1(a18) ),
inference(instantiation,[status(thm)],[c_9729]) ).
tcf(c_10677,plain,
( c3_1(a18)
| ~ iPr_def_27
| ~ c2_1(a18)
| ~ c0_1(a18) ),
inference(instantiation,[status(thm)],[c_9726]) ).
tcf(c_10678,plain,
( ~ iPr_def_12
| ~ c2_1(a18)
| ~ c1_1(a18)
| ~ c0_1(a18) ),
inference(instantiation,[status(thm)],[c_9701]) ).
tcf(c_10732,plain,
( c3_1(a31)
| c0_1(a31)
| ~ iPr_def_10
| ~ c2_1(a31) ),
inference(instantiation,[status(thm)],[c_9699]) ).
tcf(c_10819,plain,
( c3_1(a45)
| c1_1(a45)
| ~ iPr_def_18
| ~ c0_1(a45) ),
inference(instantiation,[status(thm)],[c_9710]) ).
tcf(c_10827,plain,
( c1_1(a24)
| c0_1(a24)
| ~ iPr_def_16
| ~ c2_1(a24) ),
inference(instantiation,[status(thm)],[c_9707]) ).
tcf(c_10838,plain,
( c1_1(a33)
| c0_1(a33)
| ~ iPr_def_16
| ~ c2_1(a33) ),
inference(instantiation,[status(thm)],[c_9707]) ).
tcf(c_10861,plain,
( c1_1(a53)
| c0_1(a53)
| ~ iPr_def_16
| ~ c2_1(a53) ),
inference(instantiation,[status(thm)],[c_9707]) ).
tcf(c_10916,plain,
( c3_1(a18)
| c1_1(a18)
| c0_1(a18)
| ~ iPr_def_36 ),
inference(instantiation,[status(thm)],[c_9742]) ).
tcf(c_10919,plain,
( c3_1(a18)
| c1_1(a18)
| ~ iPr_def_34
| ~ c2_1(a18) ),
inference(instantiation,[status(thm)],[c_9738]) ).
tcf(c_10920,plain,
( c3_1(a18)
| c1_1(a18)
| ~ iPr_def_18
| ~ c0_1(a18) ),
inference(instantiation,[status(thm)],[c_9710]) ).
tcf(c_10937,plain,
( c3_1(a15)
| ~ iPr_def_27
| ~ c2_1(a15)
| ~ c0_1(a15) ),
inference(instantiation,[status(thm)],[c_9726]) ).
tcf(c_11031,plain,
( c2_1(a22)
| c0_1(a22)
| ~ iPr_def_28
| ~ c1_1(a22) ),
inference(instantiation,[status(thm)],[c_9728]) ).
tcf(c_11033,plain,
( c2_1(a4)
| c0_1(a4)
| ~ iPr_def_28
| ~ c1_1(a4) ),
inference(instantiation,[status(thm)],[c_9728]) ).
tcf(c_11125,plain,
( c3_1(a30)
| c1_1(a30)
| ~ iPr_def_34
| ~ c2_1(a30) ),
inference(instantiation,[status(thm)],[c_9738]) ).
tcf(c_11698,negated_conjecture,
( iPr_def_34
| hskp6 ),
inference(global_subsumption_just,[status(thm)],[c_9761,c_239,c_238,c_237,c_9739,c_9761,c_9948]) ).
tcf(c_12316,plain,
( c3_1(a30)
| ~ iPr_def_27
| ~ c2_1(a30)
| ~ c0_1(a30) ),
inference(instantiation,[status(thm)],[c_9726]) ).
tcf(c_12326,plain,
( c3_1(a22)
| c0_1(a22)
| ~ iPr_def_17
| ~ c1_1(a22) ),
inference(instantiation,[status(thm)],[c_9708]) ).
tcf(c_12329,plain,
( c3_1(a4)
| c0_1(a4)
| ~ iPr_def_17
| ~ c1_1(a4) ),
inference(instantiation,[status(thm)],[c_9708]) ).
tcf(c_12447,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_12329,c_12326,c_12316,c_11698,c_11125,c_11033,c_11031,c_10937,c_10916,c_10919,c_10920,c_10861,c_10838,c_10827,c_10819,c_10732,c_10673,c_10677,c_10678,c_10654,c_10655,c_10657,c_10567,c_10555,c_10558,c_10535,c_10501,c_10470,c_10469,c_10464,c_10423,c_10369,c_10356,c_10354,c_10352,c_10350,c_10348,c_10347,c_10235,c_10200,c_10201,c_10202,c_10178,c_10175,c_10162,c_10165,c_10149,c_10135,c_10130,c_10123,c_10120,c_10119,c_10111,c_10101,c_10099,c_10096,c_10093,c_10091,c_10090,c_10089,c_10087,c_10077,c_10069,c_10067,c_10065,c_10063,c_10060,c_10057,c_10042,c_10024,c_10020,c_10010,c_10003,c_9998,c_9997,c_9989,c_9990,c_9981,c_9978,c_9977,c_9976,c_9974,c_9962,c_9961,c_9960,c_9948,c_9930,c_9929,c_9921,c_9923,c_9916,c_9914,c_9910,c_9905,c_9903,c_9876,c_9859,c_9856,c_9840,c_9833,c_9830,c_9831,c_9819,c_9815,c_9812,c_9810,c_9807,c_9806,c_9802,c_9800,c_9798,c_9797,c_9795,c_9781,c_9780,c_9778,c_9773,c_9770,c_9764,c_9762,c_9760,c_9759,c_9758,c_9757,c_9756,c_9755,c_9753,c_9751,c_9750,c_9747,c_9745,c_9743,c_9741,c_9734,c_9731,c_9730,c_9727,c_9724,c_9720,c_9717,c_9714,c_9711,c_9709,c_9705,c_9702,c_9749,c_9739,c_3881,c_3871,c_3861,c_3790,c_3780,c_3770,c_3760,c_3750,c_3730,c_3720,c_3596,c_3586,c_3576,c_3566,c_3556,c_3546,c_3536,c_3526,c_3516,c_2918,c_2908,c_2898,c_2480,c_2470,c_2460,c_2357,c_2337,c_1433,c_1423,c_1413,c_1394,c_1384,c_1374,c_369,c_360,c_280,c_281,c_282,c_283,c_284,c_285,c_286,c_287,c_288,c_290,c_291,c_292,c_293,c_294,c_298,c_299,c_300,c_301,c_302,c_303,c_304,c_305,c_306,c_307,c_308,c_309,c_310,c_311,c_312,c_313,c_314,c_315,c_316,c_317,c_234,c_236,c_237,c_238,c_239,c_240,c_241,c_242,c_243,c_244,c_245,c_250,c_251,c_252,c_253,c_254,c_255,c_258,c_259,c_260,c_261,c_262,c_263,c_264,c_265,c_266,c_267,c_268,c_269,c_270,c_271,c_272,c_273,c_274,c_231,c_232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN436-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n009.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 25 01:10:43 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42 Running EPR theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 3.55/1.17 % SZS status Started for theBenchmark.p
% 3.55/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.55/1.17
% 3.55/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.55/1.17
% 3.55/1.17 % ------ iProver source info
% 3.55/1.17
% 3.55/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 3.55/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.55/1.17 % git: non_committed_changes: false
% 3.55/1.17
% 3.55/1.17 % ------ Parsing...% successful
% 3.55/1.17
% 3.55/1.17
% 3.55/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 3.55/1.17 %
% 3.55/1.17
% 3.55/1.17 % ------ 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 %
% 3.55/1.17
% 3.55/1.17 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 3.55/1.17 gs_s sp: 62 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.55/1.17 % ------ Proving...
% 3.55/1.17 % ------ Problem Properties
% 3.55/1.17
% 3.55/1.17 %
% 3.55/1.17 % clauses 151
% 3.55/1.17 % conjectures 142
% 3.55/1.17 % EPR 151
% 3.55/1.17 % Horn 89
% 3.55/1.17 % unary 0
% 3.55/1.17 % binary 77
% 3.55/1.17 % lits 407
% 3.55/1.17 % lits eq 0
% 3.55/1.17 % fd_pure 0
% 3.55/1.17 % fd_pseudo 0
% 3.55/1.17 % fd_cond 0
% 3.55/1.17 % fd_pseudo_cond 0
% 3.55/1.17 % AC symbols 0
% 3.55/1.17
% 3.55/1.17 % ------ Schedule EPR non Horn non eq is on
% 3.55/1.17
% 3.55/1.17 % ------ no equalities: superposition off
% 3.55/1.17
% 3.55/1.17 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.55/1.17
% 3.55/1.17
% 3.55/1.17 % ------
% 3.55/1.17 % Current options:
% 3.55/1.17 % ------
% 3.55/1.17
% 3.55/1.17
% 3.55/1.17 %
% 3.55/1.17
% 3.55/1.17 % ------ Proving...
% 3.55/1.17 %
% 3.55/1.17
% 3.55/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 3.55/1.17
% 3.55/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.55/1.18
% 3.55/1.18
%------------------------------------------------------------------------------