%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN501-1 : 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 : n017.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 03:40:34 PM UTC 2026
% Result : Unsatisfiable 2.99s 6.35s
% Output : CNFRefutation 2.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 140
% Syntax : Number of formulae : 570 ( 2 unt; 0 def)
% Number of atoms : 2418 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 3045 (1197 ~;1848 |; 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 : 63 ( 62 usr; 59 prp; 0-1 aty)
% Number of functors : 27 ( 27 usr; 27 con; 0-0 aty)
% Number of variables : 367 ( 0 sgn 367 !; 0 ?; 281 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( hskp13
| hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f11,negated_conjecture,
( ndr1_0
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f13,negated_conjecture,
( ndr1_0
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f27,negated_conjecture,
( ndr1_0
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f31,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f32,negated_conjecture,
( hskp22
| hskp4
| hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f33,negated_conjecture,
( hskp2
| hskp9
| hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f35,negated_conjecture,
( hskp20
| hskp4
| hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f36,negated_conjecture,
( hskp17
| hskp19
| hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f37,negated_conjecture,
( hskp5
| hskp25
| hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f40,negated_conjecture,
( hskp15
| hskp6
| hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f42,negated_conjecture,
( hskp15
| hskp8
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( c0_1(a166)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( c2_1(a166)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( c3_1(a166)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( c0_1(a137)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( c1_1(a137)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( c2_1(a137)
| ~ hskp28 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( c0_1(a101)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( c1_1(a101)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( c3_1(a101)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( c0_1(a195)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( c3_1(a195)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f54,negated_conjecture,
( c1_1(a173)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f55,negated_conjecture,
( c1_1(a145)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f56,negated_conjecture,
( c3_1(a145)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f57,negated_conjecture,
( c0_1(a138)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f58,negated_conjecture,
( c3_1(a138)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( c3_1(a136)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( c1_1(a130)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( c3_1(a130)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( c0_1(a129)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( c2_1(a129)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( c2_1(a124)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( c0_1(a122)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( c0_1(a116)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( c1_1(a116)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( c0_1(a113)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( c1_1(a113)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( c3_1(a112)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( c1_1(a110)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( c1_1(a108)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( c2_1(a108)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( c3_1(a107)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( c2_1(a106)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( c3_1(a106)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( c1_1(a105)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( c2_1(a105)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( c2_1(a104)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( c0_1(a103)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( c2_1(a103)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( c2_1(a100)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( c3_1(a100)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( c2_1(a99)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( c0_1(a98)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f87,negated_conjecture,
( ~ hskp26
| ~ c1_1(a195) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( ~ hskp25
| ~ c0_1(a173) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f89,negated_conjecture,
( ~ hskp25
| ~ c3_1(a173) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f93,negated_conjecture,
( ~ hskp23
| ~ c0_1(a145) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f94,negated_conjecture,
( ~ hskp22
| ~ c2_1(a138) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f95,negated_conjecture,
( ~ hskp21
| ~ c1_1(a136) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f96,negated_conjecture,
( ~ hskp21
| ~ c2_1(a136) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f97,negated_conjecture,
( ~ hskp20
| ~ c1_1(a132) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f98,negated_conjecture,
( ~ hskp20
| ~ c2_1(a132) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ hskp20
| ~ c3_1(a132) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ hskp19
| ~ c2_1(a130) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ hskp18
| ~ c1_1(a129) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ hskp17
| ~ c1_1(a124) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ hskp17
| ~ c3_1(a124) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ hskp16
| ~ c1_1(a122) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ hskp16
| ~ c2_1(a122) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ hskp15
| ~ c0_1(a121) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ hskp15
| ~ c2_1(a121) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ hskp15
| ~ c3_1(a121) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f112,negated_conjecture,
( ~ hskp13
| ~ c3_1(a116) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ hskp12
| ~ c2_1(a113) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ hskp11
| ~ c0_1(a112) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ hskp11
| ~ c1_1(a112) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ hskp10
| ~ c2_1(a110) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ hskp10
| ~ c3_1(a110) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ hskp9
| ~ c0_1(a108) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ hskp8
| ~ c0_1(a107) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ hskp8
| ~ c2_1(a107) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ hskp7
| ~ c0_1(a106) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ hskp6
| ~ c3_1(a105) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ hskp5
| ~ c0_1(a104) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
( ~ hskp5
| ~ c3_1(a104) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ hskp4
| ~ c3_1(a103) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ hskp3
| ~ c1_1(a100) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ hskp2
| ~ c0_1(a99) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ hskp2
| ~ c1_1(a99) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f129,negated_conjecture,
( ~ hskp1
| ~ c1_1(a98) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( ~ hskp1
| ~ c3_1(a98) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f133,negated_conjecture,
! [X0] :
( hskp2
| hskp1
| c2_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f135,negated_conjecture,
! [X0] :
( hskp19
| hskp18
| c3_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f136,negated_conjecture,
! [X0] :
( hskp5
| hskp4
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f137,negated_conjecture,
! [X0] :
( hskp7
| hskp6
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f142,negated_conjecture,
! [X0] :
( hskp21
| hskp2
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f144,negated_conjecture,
! [X0] :
( hskp21
| hskp22
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
fof(f145,negated_conjecture,
! [X0] :
( hskp19
| hskp1
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
fof(f146,negated_conjecture,
! [X0] :
( hskp17
| hskp23
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f150,negated_conjecture,
! [X0] :
( hskp6
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f151,negated_conjecture,
! [X0] :
( hskp17
| hskp9
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f152,negated_conjecture,
! [X0] :
( hskp7
| hskp4
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f153,negated_conjecture,
! [X0] :
( hskp17
| hskp3
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
fof(f154,negated_conjecture,
! [X0] :
( hskp20
| hskp7
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f155,negated_conjecture,
! [X0] :
( hskp7
| hskp4
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f156,negated_conjecture,
! [X0] :
( hskp19
| hskp27
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f157,negated_conjecture,
! [X0] :
( hskp8
| hskp18
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
fof(f158,negated_conjecture,
! [X0] :
( hskp25
| hskp16
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f159,negated_conjecture,
! [X0] :
( hskp29
| hskp27
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
fof(f160,negated_conjecture,
! [X0] :
( hskp9
| hskp1
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f162,negated_conjecture,
! [X0,X1] :
( hskp27
| 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',clause162) ).
fof(f163,negated_conjecture,
! [X0,X1] :
( hskp1
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f165,negated_conjecture,
! [X0,X1] :
( hskp10
| 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',clause165) ).
fof(f166,negated_conjecture,
! [X0,X1] :
( hskp17
| c0_1(X0)
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f167,negated_conjecture,
! [X0,X1] :
( hskp15
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f168,negated_conjecture,
! [X0,X1] :
( hskp4
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f170,negated_conjecture,
! [X0,X1] :
( hskp12
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f172,negated_conjecture,
! [X0,X1] :
( hskp10
| c2_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f175,negated_conjecture,
! [X0,X1] :
( hskp20
| 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',clause175) ).
fof(f176,negated_conjecture,
! [X0,X1] :
( hskp28
| c2_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f177,negated_conjecture,
! [X0,X1] :
( hskp15
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f178,negated_conjecture,
! [X0,X1] :
( hskp16
| c0_1(X1)
| c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
fof(f180,negated_conjecture,
! [X0,X1] :
( hskp24
| c1_1(X1)
| c2_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
fof(f181,negated_conjecture,
! [X0,X1] :
( hskp1
| c1_1(X1)
| c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f183,negated_conjecture,
! [X0,X1] :
( hskp11
| c2_1(X1)
| c3_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f184,negated_conjecture,
! [X0,X1] :
( hskp1
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
fof(f185,negated_conjecture,
! [X0,X1] :
( hskp2
| 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',clause185) ).
fof(f186,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c0_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
fof(f189,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1)
| c3_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
fof(f190,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c3_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
fof(f191,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| c2_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
fof(f193,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).
fof(f194,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause194) ).
fof(f195,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).
fof(f196,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c3_1(X0)
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause196) ).
fof(f197,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause197) ).
fof(f198,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c2_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).
fof(f199,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c1_1(X1)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause199) ).
tcf(c_248,negated_conjecture,
( hskp13
| hskp12 ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_258,negated_conjecture,
( ndr1_0
| ~ hskp20 ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_260,negated_conjecture,
( ndr1_0
| ~ hskp18 ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_274,negated_conjecture,
( ndr1_0
| ~ hskp4 ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_278,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_279,negated_conjecture,
( hskp4
| hskp22
| hskp28 ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_280,negated_conjecture,
( hskp2
| hskp9
| hskp27 ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_282,negated_conjecture,
( hskp4
| hskp18
| hskp20 ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_283,negated_conjecture,
( hskp17
| hskp18
| hskp19 ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_284,negated_conjecture,
( hskp5
| hskp25
| hskp26 ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_287,negated_conjecture,
( hskp6
| hskp15
| hskp16 ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_289,negated_conjecture,
( hskp8
| hskp15
| hskp19 ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_290,negated_conjecture,
( c0_1(a166)
| ~ hskp29 ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_291,negated_conjecture,
( c2_1(a166)
| ~ hskp29 ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_292,negated_conjecture,
( c3_1(a166)
| ~ hskp29 ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_293,negated_conjecture,
( c0_1(a137)
| ~ hskp28 ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_294,negated_conjecture,
( c1_1(a137)
| ~ hskp28 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_295,negated_conjecture,
( c2_1(a137)
| ~ hskp28 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_296,negated_conjecture,
( c0_1(a101)
| ~ hskp27 ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_297,negated_conjecture,
( c1_1(a101)
| ~ hskp27 ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_298,negated_conjecture,
( c3_1(a101)
| ~ hskp27 ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_299,negated_conjecture,
( c0_1(a195)
| ~ hskp26 ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_300,negated_conjecture,
( c3_1(a195)
| ~ hskp26 ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_301,negated_conjecture,
( c1_1(a173)
| ~ hskp25 ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_302,negated_conjecture,
( c1_1(a145)
| ~ hskp23 ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_303,negated_conjecture,
( c3_1(a145)
| ~ hskp23 ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_304,negated_conjecture,
( c0_1(a138)
| ~ hskp22 ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_305,negated_conjecture,
( c3_1(a138)
| ~ hskp22 ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_306,negated_conjecture,
( c3_1(a136)
| ~ hskp21 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_307,negated_conjecture,
( c1_1(a130)
| ~ hskp19 ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_308,negated_conjecture,
( c3_1(a130)
| ~ hskp19 ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_309,negated_conjecture,
( c0_1(a129)
| ~ hskp18 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_310,negated_conjecture,
( c2_1(a129)
| ~ hskp18 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_311,negated_conjecture,
( c2_1(a124)
| ~ hskp17 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_312,negated_conjecture,
( c0_1(a122)
| ~ hskp16 ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_313,negated_conjecture,
( c0_1(a116)
| ~ hskp13 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_314,negated_conjecture,
( c1_1(a116)
| ~ hskp13 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_315,negated_conjecture,
( c0_1(a113)
| ~ hskp12 ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_316,negated_conjecture,
( c1_1(a113)
| ~ hskp12 ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_317,negated_conjecture,
( c3_1(a112)
| ~ hskp11 ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_318,negated_conjecture,
( c1_1(a110)
| ~ hskp10 ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_319,negated_conjecture,
( c1_1(a108)
| ~ hskp9 ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_320,negated_conjecture,
( c2_1(a108)
| ~ hskp9 ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_321,negated_conjecture,
( c3_1(a107)
| ~ hskp8 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_322,negated_conjecture,
( c2_1(a106)
| ~ hskp7 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_323,negated_conjecture,
( c3_1(a106)
| ~ hskp7 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_324,negated_conjecture,
( c1_1(a105)
| ~ hskp6 ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_325,negated_conjecture,
( c2_1(a105)
| ~ hskp6 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_326,negated_conjecture,
( c2_1(a104)
| ~ hskp5 ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_327,negated_conjecture,
( c0_1(a103)
| ~ hskp4 ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_328,negated_conjecture,
( c2_1(a103)
| ~ hskp4 ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_329,negated_conjecture,
( c2_1(a100)
| ~ hskp3 ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_330,negated_conjecture,
( c3_1(a100)
| ~ hskp3 ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_331,negated_conjecture,
( c2_1(a99)
| ~ hskp2 ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_332,negated_conjecture,
( c0_1(a98)
| ~ hskp1 ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_334,negated_conjecture,
( ~ hskp26
| ~ c1_1(a195) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_335,negated_conjecture,
( ~ hskp25
| ~ c0_1(a173) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_336,negated_conjecture,
( ~ hskp25
| ~ c3_1(a173) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_340,negated_conjecture,
( ~ hskp23
| ~ c0_1(a145) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_341,negated_conjecture,
( ~ hskp22
| ~ c2_1(a138) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_342,negated_conjecture,
( ~ hskp21
| ~ c1_1(a136) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_343,negated_conjecture,
( ~ hskp21
| ~ c2_1(a136) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_344,negated_conjecture,
( ~ hskp20
| ~ c1_1(a132) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_345,negated_conjecture,
( ~ hskp20
| ~ c2_1(a132) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_346,negated_conjecture,
( ~ hskp20
| ~ c3_1(a132) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_347,negated_conjecture,
( ~ hskp19
| ~ c2_1(a130) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_348,negated_conjecture,
( ~ hskp18
| ~ c1_1(a129) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_349,negated_conjecture,
( ~ hskp17
| ~ c1_1(a124) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_350,negated_conjecture,
( ~ hskp17
| ~ c3_1(a124) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_351,negated_conjecture,
( ~ hskp16
| ~ c1_1(a122) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_352,negated_conjecture,
( ~ hskp16
| ~ c2_1(a122) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_353,negated_conjecture,
( ~ hskp15
| ~ c0_1(a121) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_354,negated_conjecture,
( ~ hskp15
| ~ c2_1(a121) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_355,negated_conjecture,
( ~ hskp15
| ~ c3_1(a121) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_359,negated_conjecture,
( ~ hskp13
| ~ c3_1(a116) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_360,negated_conjecture,
( ~ hskp12
| ~ c2_1(a113) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_361,negated_conjecture,
( ~ hskp11
| ~ c0_1(a112) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_362,negated_conjecture,
( ~ hskp11
| ~ c1_1(a112) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_363,negated_conjecture,
( ~ hskp10
| ~ c2_1(a110) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_364,negated_conjecture,
( ~ hskp10
| ~ c3_1(a110) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_365,negated_conjecture,
( ~ hskp9
| ~ c0_1(a108) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_366,negated_conjecture,
( ~ hskp8
| ~ c0_1(a107) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_367,negated_conjecture,
( ~ hskp8
| ~ c2_1(a107) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_368,negated_conjecture,
( ~ hskp7
| ~ c0_1(a106) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_369,negated_conjecture,
( ~ hskp6
| ~ c3_1(a105) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_370,negated_conjecture,
( ~ hskp5
| ~ c0_1(a104) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_371,negated_conjecture,
( ~ hskp5
| ~ c3_1(a104) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_372,negated_conjecture,
( ~ hskp4
| ~ c3_1(a103) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_373,negated_conjecture,
( ~ hskp3
| ~ c1_1(a100) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_374,negated_conjecture,
( ~ hskp2
| ~ c0_1(a99) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_375,negated_conjecture,
( ~ hskp2
| ~ c1_1(a99) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_376,negated_conjecture,
( ~ hskp1
| ~ c1_1(a98) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_377,negated_conjecture,
( ~ hskp1
| ~ c3_1(a98) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_380,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp2
| c1_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_382,negated_conjecture,
! [X0: $i] :
( hskp18
| hskp19
| c1_1(X0)
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_383,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp5
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_384,negated_conjecture,
! [X0: $i] :
( hskp6
| hskp7
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_389,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp21
| c1_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_391,negated_conjecture,
! [X0: $i] :
( hskp21
| hskp22
| c1_1(X0)
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_392,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp19
| c1_1(X0)
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_393,negated_conjecture,
! [X0: $i] :
( hskp17
| hskp23
| c1_1(X0)
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_397,negated_conjecture,
! [X0: $i] :
( hskp6
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_398,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp17
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_399,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp7
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_400,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp17
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_401,negated_conjecture,
! [X0: $i] :
( hskp7
| hskp20
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_402,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp7
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_403,negated_conjecture,
! [X0: $i] :
( hskp19
| hskp27
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_404,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp18
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_405,negated_conjecture,
! [X0: $i] :
( hskp16
| hskp25
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_406,negated_conjecture,
! [X0: $i] :
( hskp27
| hskp29
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_407,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp9
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_409,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_410,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c1_1(X1)
| c1_1(X0)
| c3_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_412,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_413,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_414,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp15
| c1_1(X1)
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_415,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c1_1(X1)
| c1_1(X0)
| c3_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_417,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp12
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_419,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c1_1(X0)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_422,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp20
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_423,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp28
| c1_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_424,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp15
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_425,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c3_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_427,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp24
| c1_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_428,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c1_1(X1)
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_430,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c3_1(X0)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_431,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_432,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_433,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_436,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_437,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X2)
| c3_1(X0)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_438,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_440,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_441,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c3_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_442,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_443,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_444,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X0)
| c3_1(X2)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_445,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_446,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_481,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_278,c_282,c_274,c_260,c_258]) ).
tcf(c_541,negated_conjecture,
! [X0: $i] :
( hskp18
| hskp19
| c1_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_382,c_282,c_274,c_260,c_258,c_382]) ).
tcf(c_547,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp2
| c1_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_380,c_282,c_274,c_260,c_258,c_380]) ).
tcf(c_550,plain,
! [X0: $i] :
( hskp6
| c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_397,c_282,c_274,c_260,c_258,c_397]) ).
tcf(c_551,negated_conjecture,
! [X0: $i] :
( hskp6
| c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_550]) ).
tcf(c_562,negated_conjecture,
! [X0: $i] :
( hskp17
| hskp23
| c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_393,c_282,c_274,c_260,c_258,c_393]) ).
tcf(c_565,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp19
| c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_392,c_282,c_274,c_260,c_258,c_392]) ).
tcf(c_568,negated_conjecture,
! [X0: $i] :
( hskp21
| hskp22
| c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_391,c_282,c_274,c_260,c_258,c_391]) ).
tcf(c_574,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp21
| c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_389,c_282,c_274,c_260,c_258,c_389]) ).
tcf(c_589,negated_conjecture,
! [X0: $i] :
( hskp6
| hskp7
| c1_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_384,c_282,c_274,c_260,c_258,c_384]) ).
tcf(c_592,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp5
| c1_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_383,c_282,c_274,c_260,c_258,c_383]) ).
tcf(c_595,plain,
! [X0: $i] :
( hskp16
| hskp25
| c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_405,c_282,c_274,c_260,c_258,c_405]) ).
tcf(c_596,negated_conjecture,
! [X0: $i] :
( hskp16
| hskp25
| c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_595]) ).
tcf(c_598,plain,
! [X0: $i] :
( hskp8
| hskp18
| c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_404,c_282,c_274,c_260,c_258,c_404]) ).
tcf(c_599,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp18
| c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_598]) ).
tcf(c_601,plain,
! [X0: $i] :
( hskp19
| hskp27
| c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_403,c_282,c_274,c_260,c_258,c_403]) ).
tcf(c_602,negated_conjecture,
! [X0: $i] :
( hskp19
| hskp27
| c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_601]) ).
tcf(c_604,plain,
! [X0: $i] :
( hskp4
| hskp7
| c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_402,c_282,c_274,c_260,c_258,c_402]) ).
tcf(c_605,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp7
| c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_604]) ).
tcf(c_607,plain,
! [X0: $i] :
( hskp7
| hskp20
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_401,c_282,c_274,c_260,c_258,c_401]) ).
tcf(c_608,negated_conjecture,
! [X0: $i] :
( hskp7
| hskp20
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_607]) ).
tcf(c_610,plain,
! [X0: $i] :
( hskp3
| hskp17
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_400,c_282,c_274,c_260,c_258,c_400]) ).
tcf(c_611,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp17
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_610]) ).
tcf(c_613,plain,
! [X0: $i] :
( hskp4
| hskp7
| c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_399,c_282,c_274,c_260,c_258,c_399]) ).
tcf(c_614,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp7
| c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_613]) ).
tcf(c_616,plain,
! [X0: $i] :
( hskp9
| hskp17
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_398,c_282,c_274,c_260,c_258,c_398]) ).
tcf(c_617,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp17
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_616]) ).
tcf(c_619,plain,
! [X0: $i] :
( hskp1
| hskp9
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_407,c_282,c_274,c_260,c_258,c_407]) ).
tcf(c_620,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp9
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_619]) ).
tcf(c_622,plain,
! [X0: $i] :
( hskp27
| hskp29
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_406,c_282,c_274,c_260,c_258,c_406]) ).
tcf(c_623,negated_conjecture,
! [X0: $i] :
( hskp27
| hskp29
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_622]) ).
tcf(c_628,plain,
! [X0: $i,X1: $i] :
( hskp4
| c1_1(X1)
| c1_1(X0)
| c3_1(X1)
| c2_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_415,c_282,c_274,c_260,c_258,c_415]) ).
tcf(c_629,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c1_1(X1)
| c1_1(X0)
| c3_1(X1)
| c2_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_628]) ).
tcf(c_630,plain,
! [X0: $i,X1: $i] :
( hskp15
| c1_1(X1)
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_414,c_282,c_274,c_260,c_258,c_414]) ).
tcf(c_631,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp15
| c1_1(X1)
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_630]) ).
tcf(c_632,plain,
! [X0: $i,X1: $i] :
( hskp17
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_413,c_282,c_274,c_260,c_258,c_413]) ).
tcf(c_633,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c1_1(X1)
| c3_1(X1)
| c2_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_632]) ).
tcf(c_634,plain,
! [X0: $i,X1: $i] :
( hskp10
| 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_412,c_282,c_274,c_260,c_258,c_412]) ).
tcf(c_635,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_634]) ).
tcf(c_639,plain,
! [X0: $i,X1: $i] :
( hskp1
| c1_1(X1)
| c1_1(X0)
| c3_1(X0)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_410,c_282,c_274,c_260,c_258,c_410]) ).
tcf(c_640,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c1_1(X1)
| c1_1(X0)
| c3_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_639]) ).
tcf(c_642,plain,
! [X0: $i,X1: $i] :
( hskp27
| 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_409,c_282,c_274,c_260,c_258,c_409]) ).
tcf(c_643,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_642]) ).
tcf(c_644,plain,
! [X0: $i,X1: $i] :
( hskp28
| c1_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_423,c_282,c_274,c_260,c_258,c_423]) ).
tcf(c_645,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp28
| c1_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_644]) ).
tcf(c_646,plain,
! [X0: $i,X1: $i] :
( hskp20
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_422,c_282,c_274,c_260,c_258,c_422]) ).
tcf(c_647,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp20
| c1_1(X1)
| c1_1(X0)
| c2_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_646]) ).
tcf(c_653,plain,
! [X0: $i,X1: $i] :
( hskp10
| c1_1(X0)
| c2_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_419,c_282,c_274,c_260,c_258,c_419]) ).
tcf(c_654,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c1_1(X0)
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_653]) ).
tcf(c_657,plain,
! [X0: $i,X1: $i] :
( hskp12
| 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_417,c_282,c_274,c_260,c_258,c_417]) ).
tcf(c_658,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp12
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_657]) ).
tcf(c_661,plain,
! [X0: $i,X1: $i] :
( hskp11
| c3_1(X0)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_430,c_282,c_274,c_260,c_258,c_430]) ).
tcf(c_662,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c3_1(X0)
| c2_1(X1)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_661]) ).
tcf(c_665,plain,
! [X0: $i,X1: $i] :
( hskp1
| c1_1(X1)
| c3_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_428,c_282,c_274,c_260,c_258,c_428]) ).
tcf(c_666,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c1_1(X1)
| c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_665]) ).
tcf(c_667,plain,
! [X0: $i,X1: $i] :
( hskp24
| c1_1(X1)
| c2_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_427,c_282,c_274,c_260,c_258,c_427]) ).
tcf(c_668,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp24
| c1_1(X1)
| c2_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_667]) ).
tcf(c_671,plain,
! [X0: $i,X1: $i] :
( hskp16
| c3_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_425,c_282,c_274,c_260,c_258,c_425]) ).
tcf(c_672,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c3_1(X0)
| c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_671]) ).
tcf(c_673,plain,
! [X0: $i,X1: $i] :
( hskp15
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_424,c_282,c_274,c_260,c_258,c_424]) ).
tcf(c_674,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp15
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_673]) ).
tcf(c_676,plain,
! [X0: $i,X1: $i] :
( hskp2
| c2_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_432,c_282,c_274,c_260,c_258,c_432]) ).
tcf(c_677,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_676]) ).
tcf(c_678,plain,
! [X0: $i,X1: $i] :
( hskp1
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_431,c_282,c_274,c_260,c_258,c_431]) ).
tcf(c_679,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_678]) ).
tcf(c_682,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_433,c_282,c_274,c_260,c_258,c_433]) ).
tcf(c_683,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_682]) ).
tcf(c_684,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_436,c_282,c_274,c_260,c_258,c_436]) ).
tcf(c_685,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_684]) ).
tcf(c_688,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_440,c_282,c_274,c_260,c_258,c_440]) ).
tcf(c_689,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| ~ c1_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_688]) ).
tcf(c_692,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_438,c_438,c_481]) ).
tcf(c_693,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_692]) ).
tcf(c_694,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X2)
| c3_1(X0)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_437,c_282,c_274,c_260,c_258,c_437]) ).
tcf(c_695,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X2)
| c3_1(X0)
| c0_1(X2)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_694]) ).
tcf(c_696,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_443,c_282,c_274,c_260,c_258,c_443]) ).
tcf(c_697,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_696]) ).
tcf(c_698,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_442,c_282,c_274,c_260,c_258,c_442]) ).
tcf(c_699,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| c0_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_698]) ).
tcf(c_700,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c3_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_441,c_282,c_274,c_260,c_258,c_441]) ).
tcf(c_701,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X1)
| c3_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_700]) ).
tcf(c_702,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X0)
| c3_1(X2)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_444,c_282,c_274,c_260,c_258,c_444]) ).
tcf(c_703,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X0)
| c3_1(X2)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_702]) ).
tcf(c_704,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X0)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_446,c_282,c_274,c_260,c_258,c_446]) ).
tcf(c_705,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_704]) ).
tcf(c_707,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_445,c_282,c_274,c_260,c_258,c_445]) ).
tcf(c_708,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c0_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_707]) ).
tcf(c_2017,plain,
( hskp5
| hskp25
| ~ c1_1(a195) ),
inference(resolution,[status(thm)],[c_284,c_334]) ).
tcf(c_2027,plain,
( hskp5
| hskp25
| c3_1(a195) ),
inference(resolution,[status(thm)],[c_284,c_300]) ).
tcf(c_2037,plain,
( hskp5
| hskp25
| c0_1(a195) ),
inference(resolution,[status(thm)],[c_284,c_299]) ).
tcf(c_2536,plain,
( hskp12
| ~ c3_1(a116) ),
inference(resolution,[status(thm)],[c_248,c_359]) ).
tcf(c_2543,plain,
( hskp12
| c1_1(a116) ),
inference(resolution,[status(thm)],[c_248,c_314]) ).
tcf(c_2550,plain,
( hskp12
| c0_1(a116) ),
inference(resolution,[status(thm)],[c_248,c_313]) ).
tcf(c_2653,plain,
( hskp4
| hskp22
| c2_1(a137) ),
inference(resolution,[status(thm)],[c_279,c_295]) ).
tcf(c_2663,plain,
( hskp4
| hskp22
| c1_1(a137) ),
inference(resolution,[status(thm)],[c_279,c_294]) ).
tcf(c_2673,plain,
( hskp4
| hskp22
| c0_1(a137) ),
inference(resolution,[status(thm)],[c_279,c_293]) ).
tcf(c_2995,plain,
( hskp5
| c0_1(a195)
| ~ c3_1(a173) ),
inference(resolution,[status(thm)],[c_2037,c_336]) ).
tcf(c_3005,plain,
( hskp5
| c0_1(a195)
| ~ c0_1(a173) ),
inference(resolution,[status(thm)],[c_2037,c_335]) ).
tcf(c_3025,plain,
( hskp5
| c3_1(a195)
| ~ c3_1(a173) ),
inference(resolution,[status(thm)],[c_2027,c_336]) ).
tcf(c_3035,plain,
( hskp5
| c3_1(a195)
| ~ c0_1(a173) ),
inference(resolution,[status(thm)],[c_2027,c_335]) ).
tcf(c_3055,plain,
( hskp5
| ~ c1_1(a195)
| ~ c3_1(a173) ),
inference(resolution,[status(thm)],[c_2017,c_336]) ).
tcf(c_3065,plain,
( hskp5
| ~ c1_1(a195)
| ~ c0_1(a173) ),
inference(resolution,[status(thm)],[c_2017,c_335]) ).
tcf(c_3229,plain,
! [X0: $i] :
( hskp17
| c0_1(X0)
| ~ c0_1(a108)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(resolution,[status(thm)],[c_617,c_365]) ).
tcf(c_3230,plain,
( hskp17
| c0_1(a100)
| ~ c3_1(a100)
| ~ c2_1(a100)
| ~ c0_1(a108) ),
inference(instantiation,[status(thm)],[c_3229]) ).
tcf(c_3246,plain,
! [X0: $i] :
( hskp17
| c2_1(a108)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(resolution,[status(thm)],[c_617,c_320]) ).
tcf(c_3247,plain,
( hskp17
| c2_1(a108)
| c0_1(a100)
| ~ c3_1(a100)
| ~ c2_1(a100) ),
inference(instantiation,[status(thm)],[c_3246]) ).
tcf(c_3263,plain,
! [X0: $i] :
( hskp17
| c1_1(a108)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(resolution,[status(thm)],[c_617,c_319]) ).
tcf(c_3264,plain,
( hskp17
| c1_1(a108)
| c0_1(a100)
| ~ c3_1(a100)
| ~ c2_1(a100) ),
inference(instantiation,[status(thm)],[c_3263]) ).
tcf(c_3832,plain,
( hskp2
| hskp9
| c3_1(a101) ),
inference(resolution,[status(thm)],[c_280,c_298]) ).
tcf(c_3842,plain,
( hskp2
| hskp9
| c1_1(a101) ),
inference(resolution,[status(thm)],[c_280,c_297]) ).
tcf(c_3852,plain,
( hskp2
| hskp9
| c0_1(a101) ),
inference(resolution,[status(thm)],[c_280,c_296]) ).
tcf(c_4093,plain,
( hskp4
| hskp18
| ~ c3_1(a132) ),
inference(resolution,[status(thm)],[c_282,c_346]) ).
tcf(c_4103,plain,
( hskp4
| hskp18
| ~ c2_1(a132) ),
inference(resolution,[status(thm)],[c_282,c_345]) ).
tcf(c_4113,plain,
( hskp4
| hskp18
| ~ c1_1(a132) ),
inference(resolution,[status(thm)],[c_282,c_344]) ).
tcf(c_5137,plain,
( hskp8
| hskp19
| ~ c3_1(a121) ),
inference(resolution,[status(thm)],[c_289,c_355]) ).
tcf(c_5147,plain,
( hskp8
| hskp19
| ~ c2_1(a121) ),
inference(resolution,[status(thm)],[c_289,c_354]) ).
tcf(c_5157,plain,
( hskp8
| hskp19
| ~ c0_1(a121) ),
inference(resolution,[status(thm)],[c_289,c_353]) ).
tcf(c_6442,plain,
( hskp18
| hskp19
| ~ c3_1(a124) ),
inference(resolution,[status(thm)],[c_283,c_350]) ).
tcf(c_6452,plain,
( hskp18
| hskp19
| ~ c1_1(a124) ),
inference(resolution,[status(thm)],[c_283,c_349]) ).
tcf(c_6462,plain,
( hskp18
| hskp19
| c2_1(a124) ),
inference(resolution,[status(thm)],[c_283,c_311]) ).
tcf(c_7462,plain,
( hskp15
| hskp16
| ~ c3_1(a105) ),
inference(resolution,[status(thm)],[c_287,c_369]) ).
tcf(c_7472,plain,
( hskp15
| hskp16
| c2_1(a105) ),
inference(resolution,[status(thm)],[c_287,c_325]) ).
tcf(c_7482,plain,
( hskp15
| hskp16
| c1_1(a105) ),
inference(resolution,[status(thm)],[c_287,c_324]) ).
tcf(c_7822,plain,
( hskp17
| hskp18
| ~ c2_1(a130) ),
inference(resolution,[status(thm)],[c_283,c_347]) ).
tcf(c_7832,plain,
( hskp17
| hskp18
| c3_1(a130) ),
inference(resolution,[status(thm)],[c_283,c_308]) ).
tcf(c_7842,plain,
( hskp17
| hskp18
| c1_1(a130) ),
inference(resolution,[status(thm)],[c_283,c_307]) ).
tcf(c_8518,plain,
( hskp17
| hskp19
| ~ c1_1(a129) ),
inference(resolution,[status(thm)],[c_283,c_348]) ).
tcf(c_8528,plain,
( hskp17
| hskp19
| c2_1(a129) ),
inference(resolution,[status(thm)],[c_283,c_310]) ).
tcf(c_8538,plain,
( hskp17
| hskp19
| c0_1(a129) ),
inference(resolution,[status(thm)],[c_283,c_309]) ).
tcf(c_8548,plain,
( hskp4
| hskp20
| ~ c1_1(a129) ),
inference(resolution,[status(thm)],[c_282,c_348]) ).
tcf(c_8558,plain,
( hskp4
| hskp20
| c2_1(a129) ),
inference(resolution,[status(thm)],[c_282,c_310]) ).
tcf(c_8568,plain,
( hskp4
| hskp20
| c0_1(a129) ),
inference(resolution,[status(thm)],[c_282,c_309]) ).
tcf(c_17534,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_708]) ).
tcf(c_17535,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ~ c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_708]) ).
tcf(c_17536,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_708]) ).
tcf(c_17538,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ~ c0_1(X0)
| ~ c2_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_705]) ).
tcf(c_17539,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| ~ c2_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_705]) ).
tcf(c_17540,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_705]) ).
tcf(c_17541,negated_conjecture,
( iPr_def_15
| iPr_def_14
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_705]) ).
tcf(c_17542,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_703]) ).
tcf(c_17543,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| ~ c2_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_703]) ).
tcf(c_17544,negated_conjecture,
( iPr_def_17
| iPr_def_16
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_703]) ).
tcf(c_17545,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_701]) ).
tcf(c_17546,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_701]) ).
tcf(c_17547,negated_conjecture,
( iPr_def_19
| iPr_def_18
| iPr_def_16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_701]) ).
tcf(c_17548,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_699]) ).
tcf(c_17549,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| c2_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_699]) ).
tcf(c_17550,negated_conjecture,
( iPr_def_21
| iPr_def_20
| iPr_def_16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_699]) ).
tcf(c_17551,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_22
| ~ c0_1(X0)
| c2_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_697]) ).
tcf(c_17552,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_23
| ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_697]) ).
tcf(c_17553,negated_conjecture,
( iPr_def_23
| iPr_def_22
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_697]) ).
tcf(c_17554,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| ~ c0_1(X0)
| ~ c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_695]) ).
tcf(c_17555,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| c0_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_695]) ).
tcf(c_17556,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_26
| ~ c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_695]) ).
tcf(c_17557,negated_conjecture,
( iPr_def_26
| iPr_def_25
| iPr_def_24 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_695]) ).
tcf(c_17558,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_693]) ).
tcf(c_17559,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_693]) ).
tcf(c_17560,negated_conjecture,
( iPr_def_28
| iPr_def_27
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_693]) ).
tcf(c_17564,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_689]) ).
tcf(c_17565,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| ~ c0_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_689]) ).
tcf(c_17566,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_33
| ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_689]) ).
tcf(c_17567,negated_conjecture,
( iPr_def_33
| iPr_def_32
| iPr_def_31 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_689]) ).
tcf(c_17569,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_34
| c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_685]) ).
tcf(c_17570,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_35
| c2_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_685]) ).
tcf(c_17571,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_36
| ~ c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_685]) ).
tcf(c_17572,negated_conjecture,
( iPr_def_36
| iPr_def_35
| iPr_def_34 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_685]) ).
tcf(c_17573,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_37
| c0_1(X0)
| c2_1(X0)
| c1_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_683]) ).
tcf(c_17574,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_38
| c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_683]) ).
tcf(c_17575,negated_conjecture,
( iPr_def_38
| iPr_def_37
| iPr_def_19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_683]) ).
tcf(c_17578,negated_conjecture,
( iPr_def_27
| iPr_def_15
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_679]) ).
tcf(c_17579,negated_conjecture,
( iPr_def_31
| iPr_def_12
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_677]) ).
tcf(c_17580,negated_conjecture,
( iPr_def_27
| iPr_def_10
| hskp15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_674]) ).
tcf(c_17581,negated_conjecture,
( iPr_def_23
| iPr_def_10
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_672]) ).
tcf(c_17584,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_41
| ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_668]) ).
tcf(c_17586,negated_conjecture,
( iPr_def_26
| iPr_def_13
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_666]) ).
tcf(c_17588,negated_conjecture,
( iPr_def_31
| iPr_def_23
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_662]) ).
tcf(c_17590,negated_conjecture,
( iPr_def_20
| iPr_def_10
| hskp12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_658]) ).
tcf(c_17592,negated_conjecture,
( iPr_def_24
| iPr_def_20
| hskp10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_654]) ).
tcf(c_17596,negated_conjecture,
( iPr_def_24
| iPr_def_22
| hskp20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_647]) ).
tcf(c_17597,negated_conjecture,
( iPr_def_21
| iPr_def_11
| hskp28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_645]) ).
tcf(c_17598,negated_conjecture,
( iPr_def_21
| iPr_def_19
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_643]) ).
tcf(c_17599,negated_conjecture,
( iPr_def_19
| iPr_def_17
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_640]) ).
tcf(c_17601,negated_conjecture,
( iPr_def_31
| iPr_def_28
| hskp10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_635]) ).
tcf(c_17602,negated_conjecture,
( iPr_def_35
| iPr_def_27
| hskp17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_633]) ).
tcf(c_17603,negated_conjecture,
( iPr_def_35
| iPr_def_23
| hskp15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_631]) ).
tcf(c_17604,negated_conjecture,
( iPr_def_22
| iPr_def_17
| hskp4 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_629]) ).
tcf(c_17606,negated_conjecture,
( iPr_def_12
| hskp27
| hskp29 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_623]) ).
tcf(c_17607,negated_conjecture,
( iPr_def_15
| hskp1
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_620]) ).
tcf(c_17608,negated_conjecture,
( iPr_def_27
| hskp9
| hskp17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_617]) ).
tcf(c_17609,negated_conjecture,
( iPr_def_13
| hskp4
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_614]) ).
tcf(c_17610,negated_conjecture,
( iPr_def_14
| hskp3
| hskp17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_611]) ).
tcf(c_17611,negated_conjecture,
( iPr_def_11
| hskp7
| hskp20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_608]) ).
tcf(c_17612,negated_conjecture,
( iPr_def_41
| hskp4
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_605]) ).
tcf(c_17613,negated_conjecture,
( iPr_def_26
| hskp19
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_602]) ).
tcf(c_17614,negated_conjecture,
( iPr_def_26
| hskp8
| hskp18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_599]) ).
tcf(c_17615,negated_conjecture,
( iPr_def_23
| hskp16
| hskp25 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_596]) ).
tcf(c_17616,negated_conjecture,
( iPr_def_19
| hskp4
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_592]) ).
tcf(c_17617,negated_conjecture,
( iPr_def_19
| hskp6
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_589]) ).
tcf(c_17622,negated_conjecture,
( iPr_def_22
| hskp2
| hskp21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_574]) ).
tcf(c_17624,negated_conjecture,
( iPr_def_17
| hskp21
| hskp22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_568]) ).
tcf(c_17625,negated_conjecture,
( iPr_def_17
| hskp1
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_565]) ).
tcf(c_17626,negated_conjecture,
( iPr_def_17
| hskp17
| hskp23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_562]) ).
tcf(c_17629,negated_conjecture,
( iPr_def_37
| hskp1
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_547]) ).
tcf(c_17631,negated_conjecture,
( iPr_def_35
| hskp18
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_541]) ).
tcf(c_17651,plain,
( c1_1(a100)
| ~ iPr_def_13
| ~ c2_1(a100)
| ~ c0_1(a100) ),
inference(instantiation,[status(thm)],[c_17538]) ).
tcf(c_17665,plain,
( c2_1(a101)
| ~ iPr_def_11
| ~ c1_1(a101)
| ~ c0_1(a101) ),
inference(instantiation,[status(thm)],[c_17535]) ).
tcf(c_17666,plain,
( c2_1(a113)
| ~ iPr_def_11
| ~ c1_1(a113)
| ~ c0_1(a113) ),
inference(instantiation,[status(thm)],[c_17535]) ).
tcf(c_17667,plain,
( c2_1(a110)
| ~ iPr_def_11
| ~ c1_1(a110)
| ~ c0_1(a110) ),
inference(instantiation,[status(thm)],[c_17535]) ).
tcf(c_17669,plain,
( c1_1(a129)
| ~ iPr_def_13
| ~ c2_1(a129)
| ~ c0_1(a129) ),
inference(instantiation,[status(thm)],[c_17538]) ).
tcf(c_17670,plain,
( c1_1(a124)
| ~ iPr_def_13
| ~ c2_1(a124)
| ~ c0_1(a124) ),
inference(instantiation,[status(thm)],[c_17538]) ).
tcf(c_17673,plain,
( c1_1(a103)
| ~ iPr_def_13
| ~ c2_1(a103)
| ~ c0_1(a103) ),
inference(instantiation,[status(thm)],[c_17538]) ).
tcf(c_17680,plain,
( c1_1(a124)
| c0_1(a124)
| ~ iPr_def_19
| ~ c2_1(a124) ),
inference(instantiation,[status(thm)],[c_17546]) ).
tcf(c_17682,plain,
( c1_1(a104)
| c0_1(a104)
| ~ iPr_def_19
| ~ c2_1(a104) ),
inference(instantiation,[status(thm)],[c_17546]) ).
tcf(c_17684,plain,
( c1_1(a99)
| c0_1(a99)
| ~ iPr_def_19
| ~ c2_1(a99) ),
inference(instantiation,[status(thm)],[c_17546]) ).
tcf(c_17686,plain,
( c1_1(a136)
| c2_1(a136)
| ~ iPr_def_21
| ~ c3_1(a136) ),
inference(instantiation,[status(thm)],[c_17549]) ).
tcf(c_17688,plain,
( c1_1(a101)
| ~ iPr_def_24
| ~ c3_1(a101)
| ~ c0_1(a101) ),
inference(instantiation,[status(thm)],[c_17554]) ).
tcf(c_17689,plain,
( c1_1(a136)
| ~ iPr_def_24
| ~ c3_1(a136)
| ~ c0_1(a136) ),
inference(instantiation,[status(thm)],[c_17554]) ).
tcf(c_17691,plain,
( c2_1(a101)
| ~ iPr_def_31
| ~ c1_1(a101)
| ~ c3_1(a101) ),
inference(instantiation,[status(thm)],[c_17564]) ).
tcf(c_17693,plain,
( c2_1(a107)
| ~ iPr_def_31
| ~ c1_1(a107)
| ~ c3_1(a107) ),
inference(instantiation,[status(thm)],[c_17564]) ).
tcf(c_17696,plain,
( c3_1(a110)
| c2_1(a110)
| ~ iPr_def_34
| ~ c1_1(a110) ),
inference(instantiation,[status(thm)],[c_17569]) ).
tcf(c_17708,plain,
( c1_1(a112)
| c2_1(a112)
| ~ iPr_def_21
| ~ c3_1(a112) ),
inference(instantiation,[status(thm)],[c_17549]) ).
tcf(c_17709,plain,
( c1_1(a112)
| c0_1(a112)
| ~ iPr_def_19
| ~ c2_1(a112) ),
inference(instantiation,[status(thm)],[c_17546]) ).
tcf(c_17713,plain,
( c1_1(a166)
| ~ iPr_def_24
| ~ c3_1(a166)
| ~ c0_1(a166) ),
inference(instantiation,[status(thm)],[c_17554]) ).
tcf(c_17720,plain,
( hskp6
| c3_1(a116)
| ~ c1_1(a116)
| ~ c0_1(a116) ),
inference(instantiation,[status(thm)],[c_551]) ).
tcf(c_17723,plain,
( c1_1(a122)
| c2_1(a122)
| ~ iPr_def_22
| ~ c0_1(a122) ),
inference(instantiation,[status(thm)],[c_17551]) ).
tcf(c_17728,plain,
( c2_1(a138)
| ~ iPr_def_31
| ~ c1_1(a138)
| ~ c3_1(a138) ),
inference(instantiation,[status(thm)],[c_17564]) ).
tcf(c_17731,plain,
( c1_1(a138)
| c2_1(a138)
| ~ iPr_def_22
| ~ c0_1(a138) ),
inference(instantiation,[status(thm)],[c_17551]) ).
tcf(c_17736,plain,
( c2_1(a138)
| ~ iPr_def_41
| ~ c3_1(a138)
| ~ c0_1(a138) ),
inference(instantiation,[status(thm)],[c_17584]) ).
tcf(c_17742,plain,
( c1_1(a112)
| ~ iPr_def_14
| ~ c3_1(a112)
| ~ c2_1(a112) ),
inference(instantiation,[status(thm)],[c_17539]) ).
tcf(c_17749,plain,
( c1_1(a195)
| ~ iPr_def_24
| ~ c3_1(a195)
| ~ c0_1(a195) ),
inference(instantiation,[status(thm)],[c_17554]) ).
tcf(c_17752,plain,
( ~ iPr_def_16
| ~ c1_1(a145)
| ~ c3_1(a145)
| ~ c2_1(a145) ),
inference(instantiation,[status(thm)],[c_17542]) ).
tcf(c_17755,plain,
( c2_1(a145)
| c0_1(a145)
| ~ iPr_def_20
| ~ c1_1(a145) ),
inference(instantiation,[status(thm)],[c_17548]) ).
tcf(c_17761,plain,
( c2_1(a145)
| ~ iPr_def_31
| ~ c1_1(a145)
| ~ c3_1(a145) ),
inference(instantiation,[status(thm)],[c_17564]) ).
tcf(c_17766,plain,
( c1_1(a122)
| c3_1(a122)
| c2_1(a122)
| ~ iPr_def_35 ),
inference(instantiation,[status(thm)],[c_17570]) ).
tcf(c_17798,plain,
( c1_1(a132)
| c3_1(a132)
| c2_1(a132)
| ~ iPr_def_35 ),
inference(instantiation,[status(thm)],[c_17570]) ).
tcf(c_17800,plain,
( ~ iPr_def_16
| ~ c1_1(a166)
| ~ c3_1(a166)
| ~ c2_1(a166) ),
inference(instantiation,[status(thm)],[c_17542]) ).
tcf(c_17806,plain,
( c1_1(a129)
| c3_1(a129)
| ~ iPr_def_17
| ~ c2_1(a129) ),
inference(instantiation,[status(thm)],[c_17543]) ).
tcf(c_17807,plain,
( c1_1(a124)
| c3_1(a124)
| ~ iPr_def_17
| ~ c2_1(a124) ),
inference(instantiation,[status(thm)],[c_17543]) ).
tcf(c_17809,plain,
( c1_1(a98)
| c3_1(a98)
| ~ iPr_def_17
| ~ c2_1(a98) ),
inference(instantiation,[status(thm)],[c_17543]) ).
tcf(c_17822,plain,
( c2_1(a121)
| c0_1(a121)
| ~ iPr_def_20
| ~ c1_1(a121) ),
inference(instantiation,[status(thm)],[c_17548]) ).
tcf(c_17823,plain,
( c2_1(a110)
| c0_1(a110)
| ~ iPr_def_20
| ~ c1_1(a110) ),
inference(instantiation,[status(thm)],[c_17548]) ).
tcf(c_17832,plain,
( c3_1(a129)
| ~ iPr_def_23
| ~ c2_1(a129)
| ~ c0_1(a129) ),
inference(instantiation,[status(thm)],[c_17552]) ).
tcf(c_17835,plain,
( c3_1(a103)
| ~ iPr_def_23
| ~ c2_1(a103)
| ~ c0_1(a103) ),
inference(instantiation,[status(thm)],[c_17552]) ).
tcf(c_17836,plain,
( c3_1(a98)
| ~ iPr_def_23
| ~ c2_1(a98)
| ~ c0_1(a98) ),
inference(instantiation,[status(thm)],[c_17552]) ).
tcf(c_17846,plain,
( c3_1(a103)
| ~ iPr_def_26
| ~ c1_1(a103)
| ~ c0_1(a103) ),
inference(instantiation,[status(thm)],[c_17556]) ).
tcf(c_17850,plain,
( c3_1(a132)
| c2_1(a132)
| c0_1(a132)
| ~ iPr_def_28 ),
inference(instantiation,[status(thm)],[c_17559]) ).
tcf(c_17852,plain,
( c3_1(a121)
| c2_1(a121)
| c0_1(a121)
| ~ iPr_def_28 ),
inference(instantiation,[status(thm)],[c_17559]) ).
tcf(c_17858,plain,
( c3_1(a132)
| c2_1(a132)
| ~ iPr_def_33
| ~ c0_1(a132) ),
inference(instantiation,[status(thm)],[c_17566]) ).
tcf(c_17859,plain,
( c3_1(a122)
| c2_1(a122)
| ~ iPr_def_33
| ~ c0_1(a122) ),
inference(instantiation,[status(thm)],[c_17566]) ).
tcf(c_17867,plain,
( ~ iPr_def_12
| ~ c1_1(a101)
| ~ c2_1(a101)
| ~ c0_1(a101) ),
inference(instantiation,[status(thm)],[c_17536]) ).
tcf(c_17873,plain,
( ~ iPr_def_12
| ~ c1_1(a103)
| ~ c2_1(a103)
| ~ c0_1(a103) ),
inference(instantiation,[status(thm)],[c_17536]) ).
tcf(c_17878,plain,
( c1_1(a132)
| c3_1(a132)
| c0_1(a132)
| ~ iPr_def_25 ),
inference(instantiation,[status(thm)],[c_17555]) ).
tcf(c_17880,plain,
( c1_1(a124)
| c3_1(a124)
| c0_1(a124)
| ~ iPr_def_25 ),
inference(instantiation,[status(thm)],[c_17555]) ).
tcf(c_17888,plain,
( ~ iPr_def_12
| ~ c1_1(a105)
| ~ c2_1(a105)
| ~ c0_1(a105) ),
inference(instantiation,[status(thm)],[c_17536]) ).
tcf(c_17898,plain,
( c1_1(a98)
| c2_1(a98)
| ~ iPr_def_22
| ~ c0_1(a98) ),
inference(instantiation,[status(thm)],[c_17551]) ).
tcf(c_17903,plain,
( c3_1(a105)
| ~ iPr_def_23
| ~ c2_1(a105)
| ~ c0_1(a105) ),
inference(instantiation,[status(thm)],[c_17552]) ).
tcf(c_17911,plain,
( c2_1(a130)
| ~ iPr_def_31
| ~ c1_1(a130)
| ~ c3_1(a130) ),
inference(instantiation,[status(thm)],[c_17564]) ).
tcf(c_17914,plain,
( c3_1(a173)
| c0_1(a173)
| ~ iPr_def_18
| ~ c1_1(a173) ),
inference(instantiation,[status(thm)],[c_17545]) ).
tcf(c_17915,plain,
( c3_1(a121)
| c0_1(a121)
| ~ iPr_def_18
| ~ c1_1(a121) ),
inference(instantiation,[status(thm)],[c_17545]) ).
tcf(c_17929,plain,
( c3_1(a105)
| ~ iPr_def_36
| ~ c1_1(a105)
| ~ c2_1(a105) ),
inference(instantiation,[status(thm)],[c_17571]) ).
tcf(c_17931,plain,
( c3_1(a103)
| ~ iPr_def_36
| ~ c1_1(a103)
| ~ c2_1(a103) ),
inference(instantiation,[status(thm)],[c_17571]) ).
tcf(c_17936,plain,
( c0_1(a108)
| ~ iPr_def_10
| ~ c1_1(a108)
| ~ c2_1(a108) ),
inference(instantiation,[status(thm)],[c_17534]) ).
tcf(c_17937,plain,
( c0_1(a105)
| ~ iPr_def_10
| ~ c1_1(a105)
| ~ c2_1(a105) ),
inference(instantiation,[status(thm)],[c_17534]) ).
tcf(c_17938,plain,
( c0_1(a104)
| ~ iPr_def_10
| ~ c1_1(a104)
| ~ c2_1(a104) ),
inference(instantiation,[status(thm)],[c_17534]) ).
tcf(c_17943,plain,
( c1_1(a121)
| c2_1(a121)
| c0_1(a121)
| ~ iPr_def_37 ),
inference(instantiation,[status(thm)],[c_17573]) ).
tcf(c_17944,plain,
( c1_1(a112)
| c2_1(a112)
| c0_1(a112)
| ~ iPr_def_37 ),
inference(instantiation,[status(thm)],[c_17573]) ).
tcf(c_17945,plain,
( c1_1(a107)
| c2_1(a107)
| c0_1(a107)
| ~ iPr_def_37 ),
inference(instantiation,[status(thm)],[c_17573]) ).
tcf(c_17948,plain,
( c1_1(a136)
| c2_1(a136)
| c0_1(a136)
| ~ iPr_def_37 ),
inference(instantiation,[status(thm)],[c_17573]) ).
tcf(c_17961,plain,
( c1_1(a132)
| c2_1(a132)
| c0_1(a132)
| ~ iPr_def_37 ),
inference(instantiation,[status(thm)],[c_17573]) ).
tcf(c_17965,plain,
( c1_1(a129)
| ~ iPr_def_14
| ~ c3_1(a129)
| ~ c2_1(a129) ),
inference(instantiation,[status(thm)],[c_17539]) ).
tcf(c_17968,plain,
( c1_1(a129)
| ~ iPr_def_24
| ~ c3_1(a129)
| ~ c0_1(a129) ),
inference(instantiation,[status(thm)],[c_17554]) ).
tcf(c_17982,plain,
( c1_1(a122)
| ~ iPr_def_24
| ~ c3_1(a122)
| ~ c0_1(a122) ),
inference(instantiation,[status(thm)],[c_17554]) ).
tcf(c_18003,plain,
( ~ iPr_def_12
| ~ c1_1(a137)
| ~ c2_1(a137)
| ~ c0_1(a137) ),
inference(instantiation,[status(thm)],[c_17536]) ).
tcf(c_18008,plain,
( c0_1(a106)
| ~ iPr_def_27
| ~ c3_1(a106)
| ~ c2_1(a106) ),
inference(instantiation,[status(thm)],[c_17558]) ).
tcf(c_18028,plain,
( c1_1(a103)
| c3_1(a103)
| ~ iPr_def_17
| ~ c2_1(a103) ),
inference(instantiation,[status(thm)],[c_17543]) ).
tcf(c_18033,plain,
( c0_1(a173)
| ~ iPr_def_10
| ~ c1_1(a173)
| ~ c2_1(a173) ),
inference(instantiation,[status(thm)],[c_17534]) ).
tcf(c_18034,plain,
( c0_1(a145)
| ~ iPr_def_10
| ~ c1_1(a145)
| ~ c2_1(a145) ),
inference(instantiation,[status(thm)],[c_17534]) ).
tcf(c_18044,plain,
( ~ iPr_def_16
| ~ c1_1(a101)
| ~ c3_1(a101)
| ~ c2_1(a101) ),
inference(instantiation,[status(thm)],[c_17542]) ).
tcf(c_18051,plain,
( ~ iPr_def_16
| ~ c1_1(a105)
| ~ c3_1(a105)
| ~ c2_1(a105) ),
inference(instantiation,[status(thm)],[c_17542]) ).
tcf(c_18092,plain,
( ~ iPr_def_15
| ~ c3_1(a101)
| ~ c2_1(a101)
| ~ c0_1(a101) ),
inference(instantiation,[status(thm)],[c_17540]) ).
tcf(c_18095,plain,
( ~ iPr_def_15
| ~ c3_1(a129)
| ~ c2_1(a129)
| ~ c0_1(a129) ),
inference(instantiation,[status(thm)],[c_17540]) ).
tcf(c_18116,plain,
( c1_1(a98)
| c3_1(a98)
| ~ iPr_def_32
| ~ c0_1(a98) ),
inference(instantiation,[status(thm)],[c_17565]) ).
tcf(c_18129,plain,
( c3_1(a124)
| c0_1(a124)
| ~ iPr_def_38
| ~ c2_1(a124) ),
inference(instantiation,[status(thm)],[c_17574]) ).
tcf(c_18133,plain,
( c3_1(a104)
| c0_1(a104)
| ~ iPr_def_38
| ~ c2_1(a104) ),
inference(instantiation,[status(thm)],[c_17574]) ).
tcf(c_18169,plain,
( c1_1(a136)
| c2_1(a136)
| ~ iPr_def_22
| ~ c0_1(a136) ),
inference(instantiation,[status(thm)],[c_17551]) ).
tcf(c_18177,plain,
( c1_1(a132)
| c3_1(a132)
| ~ iPr_def_32
| ~ c0_1(a132) ),
inference(instantiation,[status(thm)],[c_17565]) ).
tcf(c_18186,plain,
( c1_1(a122)
| c3_1(a122)
| ~ iPr_def_32
| ~ c0_1(a122) ),
inference(instantiation,[status(thm)],[c_17565]) ).
tcf(c_18201,plain,
( ~ iPr_def_15
| ~ c3_1(a166)
| ~ c2_1(a166)
| ~ c0_1(a166) ),
inference(instantiation,[status(thm)],[c_17540]) ).
tcf(c_18235,plain,
( c3_1(a173)
| c2_1(a173)
| c0_1(a173)
| ~ iPr_def_28 ),
inference(instantiation,[status(thm)],[c_17559]) ).
tcf(c_18269,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_18235,c_18201,c_18186,c_18177,c_18169,c_18133,c_18129,c_18116,c_18095,c_18092,c_18051,c_18044,c_18034,c_18033,c_18028,c_18008,c_18003,c_17982,c_17965,c_17968,c_17961,c_17948,c_17945,c_17944,c_17943,c_17938,c_17937,c_17936,c_17931,c_17929,c_17915,c_17914,c_17911,c_17903,c_17898,c_17888,c_17880,c_17878,c_17873,c_17867,c_17859,c_17858,c_17852,c_17850,c_17846,c_17836,c_17835,c_17832,c_17823,c_17822,c_17809,c_17807,c_17806,c_17800,c_17798,c_17766,c_17761,c_17752,c_17755,c_17749,c_17742,c_17736,c_17731,c_17728,c_17723,c_17720,c_17713,c_17709,c_17708,c_17696,c_17693,c_17691,c_17689,c_17688,c_17686,c_17684,c_17682,c_17680,c_17673,c_17670,c_17669,c_17667,c_17666,c_17665,c_17651,c_17631,c_17629,c_17626,c_17625,c_17624,c_17622,c_17617,c_17616,c_17615,c_17614,c_17613,c_17612,c_17611,c_17610,c_17609,c_17608,c_17607,c_17606,c_17604,c_17603,c_17602,c_17601,c_17599,c_17598,c_17597,c_17596,c_17592,c_17590,c_17588,c_17586,c_17581,c_17580,c_17579,c_17578,c_17575,c_17572,c_17567,c_17560,c_17557,c_17553,c_17550,c_17547,c_17544,c_17541,c_8568,c_8558,c_8548,c_8538,c_8528,c_8518,c_7842,c_7832,c_7822,c_7482,c_7472,c_7462,c_6462,c_6452,c_6442,c_5157,c_5147,c_5137,c_4113,c_4103,c_4093,c_3852,c_3842,c_3832,c_3264,c_3247,c_3230,c_3065,c_3055,c_3035,c_3025,c_3005,c_2995,c_2673,c_2663,c_2653,c_2550,c_2543,c_2536,c_335,c_336,c_340,c_341,c_342,c_343,c_344,c_345,c_346,c_347,c_348,c_349,c_350,c_351,c_352,c_353,c_354,c_355,c_360,c_361,c_362,c_363,c_364,c_365,c_366,c_367,c_368,c_369,c_370,c_371,c_372,c_373,c_374,c_375,c_376,c_377,c_290,c_291,c_292,c_293,c_294,c_295,c_296,c_297,c_298,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_315,c_316,c_317,c_318,c_319,c_320,c_321,c_322,c_323,c_324,c_325,c_326,c_327,c_328,c_329,c_330,c_331,c_332,c_280,c_283,c_287]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN501-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.57 % Computer : n017.cluster.edu
% 0.09/5.57 % Model : x86_64 x86_64
% 0.09/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.57 % Memory : 8046.5625MB
% 0.09/5.57 % OS : Linux 6.8.0-71-generic
% 0.09/5.57 % CPULimit : 300
% 0.09/5.57 % WCLimit : 300
% 0.09/5.57 % DateTime : Fri Sep 25 01:29:10 UTC 2026
% 0.09/5.57 % CPUTime :
% 0.09/5.57 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.61 Running EPR theorem proving
% 0.13/5.61 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
% 0.13/5.62
% 0.13/5.62 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.62
% 0.13/5.62 % Detected problem language: tptp
% 0.13/5.63 % Proving...
% 2.99/6.35 % SZS status Started for theBenchmark.p
% 2.99/6.35 % SZS status Unsatisfiable for theBenchmark.p
% 2.99/6.35
% 2.99/6.35 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.99/6.35
% 2.99/6.35 % ------ iProver source info
% 2.99/6.35
% 2.99/6.35 % git: date: 2026-07-19 20:42:38 +0200
% 2.99/6.35 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.99/6.35 % git: non_committed_changes: false
% 2.99/6.35
% 2.99/6.35 % ------ Parsing...% successful
% 2.99/6.35
% 2.99/6.35
% 2.99/6.35 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 2.99/6.35 %
% 2.99/6.35
% 2.99/6.35 % ------ 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 %
% 2.99/6.35
% 2.99/6.35 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 2.99/6.35 gs_s sp: 118 0s gs_e snvd_s sp: 0 0s snvd_e
% 2.99/6.35 % ------ Proving...
% 2.99/6.35 % ------ Problem Properties
% 2.99/6.35
% 2.99/6.35 %
% 2.99/6.35 % clauses 201
% 2.99/6.35 % conjectures 198
% 2.99/6.35 % EPR 201
% 2.99/6.35 % Horn 104
% 2.99/6.35 % unary 0
% 2.99/6.35 % binary 88
% 2.99/6.35 % lits 549
% 2.99/6.35 % lits eq 0
% 2.99/6.35 % fd_pure 0
% 2.99/6.35 % fd_pseudo 0
% 2.99/6.35 % fd_cond 0
% 2.99/6.35 % fd_pseudo_cond 0
% 2.99/6.35 % AC symbols 0
% 2.99/6.35
% 2.99/6.35 % ------ Schedule EPR non Horn non eq is on
% 2.99/6.35
% 2.99/6.35 % ------ no equalities: superposition off
% 2.99/6.35
% 2.99/6.35 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 2.99/6.35
% 2.99/6.35
% 2.99/6.35 % ------
% 2.99/6.35 % Current options:
% 2.99/6.35 % ------
% 2.99/6.35
% 2.99/6.35
% 2.99/6.35 %
% 2.99/6.35
% 2.99/6.35 % ------ Proving...
% 2.99/6.35 %
% 2.99/6.35
% 2.99/6.35 % SZS status Unsatisfiable for theBenchmark.p
% 2.99/6.35
% 2.99/6.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.99/6.35
% 2.99/6.35
%------------------------------------------------------------------------------