%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN459-1 : 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 : n014.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 03:40:19 PM UTC 2026
% Result : Unsatisfiable 3.68s 1.15s
% Output : CNFRefutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 96
% Syntax : Number of formulae : 412 ( 2 unt; 0 def)
% Number of atoms : 1764 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2239 ( 887 ~;1352 |; 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 : 52 ( 51 usr; 48 prp; 0-1 aty)
% Number of functors : 19 ( 19 usr; 19 con; 0-0 aty)
% Number of variables : 272 ( 0 sgn 272 !; 0 ?; 208 :)
% Comments :
%------------------------------------------------------------------------------
fof(f17,negated_conjecture,
( ndr1_0
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
fof(f25,negated_conjecture,
( ndr1_0
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f26,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f27,negated_conjecture,
( hskp2
| hskp15
| hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f28,negated_conjecture,
( hskp2
| hskp9
| hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f29,negated_conjecture,
( hskp0
| hskp9
| hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f30,negated_conjecture,
( hskp21
| hskp15
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f31,negated_conjecture,
( hskp2
| hskp22
| hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f34,negated_conjecture,
( c0_1(a230)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f35,negated_conjecture,
( c1_1(a230)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f36,negated_conjecture,
( c2_1(a230)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f37,negated_conjecture,
( c1_1(a215)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f38,negated_conjecture,
( c2_1(a215)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f39,negated_conjecture,
( c3_1(a215)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f40,negated_conjecture,
( c0_1(a189)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f41,negated_conjecture,
( c1_1(a189)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f42,negated_conjecture,
( c3_1(a189)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( c3_1(a259)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( c2_1(a257)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f47,negated_conjecture,
( c3_1(a225)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( c3_1(a223)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( c1_1(a222)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( c2_1(a222)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( c2_1(a214)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f54,negated_conjecture,
( c1_1(a209)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f55,negated_conjecture,
( c3_1(a209)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f57,negated_conjecture,
( c0_1(a200)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f58,negated_conjecture,
( c3_1(a200)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( c2_1(a199)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f62,negated_conjecture,
( c1_1(a197)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( c0_1(a195)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( c0_1(a194)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f68,negated_conjecture,
( c0_1(a190)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( c2_1(a190)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( ~ hskp22
| ~ c0_1(a259) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( ~ hskp22
| ~ c2_1(a259) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( ~ hskp21
| ~ c1_1(a257) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( ~ hskp21
| ~ c3_1(a257) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f75,negated_conjecture,
( ~ hskp19
| ~ c0_1(a225) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( ~ hskp19
| ~ c1_1(a225) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( ~ hskp18
| ~ c1_1(a223) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( ~ hskp18
| ~ c2_1(a223) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( ~ hskp17
| ~ c3_1(a222) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( ~ hskp16
| ~ c0_1(a221) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( ~ hskp16
| ~ c1_1(a221) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( ~ hskp16
| ~ c2_1(a221) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( ~ hskp15
| ~ c0_1(a214) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( ~ hskp15
| ~ c3_1(a214) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f86,negated_conjecture,
( ~ hskp13
| ~ c0_1(a209) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f92,negated_conjecture,
( ~ hskp10
| ~ c1_1(a200) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f93,negated_conjecture,
( ~ hskp9
| ~ c0_1(a199) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f94,negated_conjecture,
( ~ hskp9
| ~ c1_1(a199) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f96,negated_conjecture,
( ~ hskp7
| ~ c0_1(a197) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f97,negated_conjecture,
( ~ hskp7
| ~ c2_1(a197) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f98,negated_conjecture,
( ~ hskp6
| ~ c1_1(a195) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ hskp6
| ~ c3_1(a195) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ hskp5
| ~ c1_1(a194) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ hskp5
| ~ c2_1(a194) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f105,negated_conjecture,
( ~ hskp2
| ~ c1_1(a191) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ hskp2
| ~ c2_1(a191) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ hskp2
| ~ c3_1(a191) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ hskp1
| ~ c3_1(a190) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ hskp0
| ~ c0_1(a188) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ hskp0
| ~ c1_1(a188) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ hskp0
| ~ c3_1(a188) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
fof(f112,negated_conjecture,
! [X0] :
( hskp1
| c3_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
! [X0] :
( hskp6
| c3_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f117,negated_conjecture,
! [X0] :
( hskp16
| hskp23
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
! [X0] :
( hskp18
| hskp17
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f124,negated_conjecture,
! [X0] :
( hskp9
| hskp7
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f126,negated_conjecture,
! [X0] :
( hskp2
| hskp1
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
! [X0] :
( hskp5
| hskp23
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f129,negated_conjecture,
! [X0,X1] :
( hskp23
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
! [X0,X1] :
( hskp15
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f132,negated_conjecture,
! [X0,X1] :
( hskp10
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f133,negated_conjecture,
! [X0,X1] :
( hskp5
| c3_1(X1)
| c0_1(X1)
| c3_1(X0)
| c0_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f134,negated_conjecture,
! [X0,X1] :
( hskp10
| c0_1(X0)
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f135,negated_conjecture,
! [X0,X1] :
( hskp13
| 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',clause135) ).
fof(f137,negated_conjecture,
! [X0,X1] :
( hskp2
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f138,negated_conjecture,
! [X0,X1] :
( hskp2
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f139,negated_conjecture,
! [X0,X1] :
( hskp24
| 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] :
( hskp1
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f141,negated_conjecture,
! [X0,X1] :
( hskp13
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f143,negated_conjecture,
! [X0,X1] :
( hskp19
| c3_1(X1)
| c1_1(X1)
| c3_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f144,negated_conjecture,
! [X0,X1] :
( hskp7
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
fof(f148,negated_conjecture,
! [X0,X1] :
( hskp9
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f151,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X0)
| c0_1(X0)
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f153,negated_conjecture,
! [X0,X1] :
( hskp7
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
fof(f154,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f155,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f156,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1)
| c3_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f157,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| c1_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
fof(f158,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f161,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c2_1(X1)
| c3_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f162,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c3_1(X1)
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
fof(f163,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
tcf(c_228,negated_conjecture,
( ndr1_0
| ~ hskp9 ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_236,negated_conjecture,
( ndr1_0
| ~ hskp1 ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_237,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_238,negated_conjecture,
( hskp2
| hskp15
| hskp25 ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_239,negated_conjecture,
( hskp2
| hskp9
| hskp23 ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_240,negated_conjecture,
( hskp0
| hskp1
| hskp9 ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_241,negated_conjecture,
( hskp5
| hskp15
| hskp21 ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_242,negated_conjecture,
( hskp2
| hskp22
| hskp24 ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_245,negated_conjecture,
( c0_1(a230)
| ~ hskp25 ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_246,negated_conjecture,
( c1_1(a230)
| ~ hskp25 ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_247,negated_conjecture,
( c2_1(a230)
| ~ hskp25 ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_248,negated_conjecture,
( c1_1(a215)
| ~ hskp24 ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_249,negated_conjecture,
( c2_1(a215)
| ~ hskp24 ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_250,negated_conjecture,
( c3_1(a215)
| ~ hskp24 ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_251,negated_conjecture,
( c0_1(a189)
| ~ hskp23 ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_252,negated_conjecture,
( c1_1(a189)
| ~ hskp23 ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_253,negated_conjecture,
( c3_1(a189)
| ~ hskp23 ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_254,negated_conjecture,
( c3_1(a259)
| ~ hskp22 ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_255,negated_conjecture,
( c2_1(a257)
| ~ hskp21 ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_258,negated_conjecture,
( c3_1(a225)
| ~ hskp19 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_259,negated_conjecture,
( c3_1(a223)
| ~ hskp18 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_260,negated_conjecture,
( c1_1(a222)
| ~ hskp17 ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_261,negated_conjecture,
( c2_1(a222)
| ~ hskp17 ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_262,negated_conjecture,
( c2_1(a214)
| ~ hskp15 ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_265,negated_conjecture,
( c1_1(a209)
| ~ hskp13 ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_266,negated_conjecture,
( c3_1(a209)
| ~ hskp13 ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_268,negated_conjecture,
( c0_1(a200)
| ~ hskp10 ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_269,negated_conjecture,
( c3_1(a200)
| ~ hskp10 ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_270,negated_conjecture,
( c2_1(a199)
| ~ hskp9 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_273,negated_conjecture,
( c1_1(a197)
| ~ hskp7 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_274,negated_conjecture,
( c0_1(a195)
| ~ hskp6 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_275,negated_conjecture,
( c0_1(a194)
| ~ hskp5 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_279,negated_conjecture,
( c0_1(a190)
| ~ hskp1 ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_280,negated_conjecture,
( c2_1(a190)
| ~ hskp1 ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_281,negated_conjecture,
( ~ hskp22
| ~ c0_1(a259) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_282,negated_conjecture,
( ~ hskp22
| ~ c2_1(a259) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_283,negated_conjecture,
( ~ hskp21
| ~ c1_1(a257) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_284,negated_conjecture,
( ~ hskp21
| ~ c3_1(a257) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_286,negated_conjecture,
( ~ hskp19
| ~ c0_1(a225) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_287,negated_conjecture,
( ~ hskp19
| ~ c1_1(a225) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_288,negated_conjecture,
( ~ hskp18
| ~ c1_1(a223) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_289,negated_conjecture,
( ~ hskp18
| ~ c2_1(a223) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_290,negated_conjecture,
( ~ hskp17
| ~ c3_1(a222) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_291,negated_conjecture,
( ~ hskp16
| ~ c0_1(a221) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_292,negated_conjecture,
( ~ hskp16
| ~ c1_1(a221) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_293,negated_conjecture,
( ~ hskp16
| ~ c2_1(a221) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_294,negated_conjecture,
( ~ hskp15
| ~ c0_1(a214) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_295,negated_conjecture,
( ~ hskp15
| ~ c3_1(a214) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_297,negated_conjecture,
( ~ hskp13
| ~ c0_1(a209) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_303,negated_conjecture,
( ~ hskp10
| ~ c1_1(a200) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_304,negated_conjecture,
( ~ hskp9
| ~ c0_1(a199) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_305,negated_conjecture,
( ~ hskp9
| ~ c1_1(a199) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_307,negated_conjecture,
( ~ hskp7
| ~ c0_1(a197) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_308,negated_conjecture,
( ~ hskp7
| ~ c2_1(a197) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_309,negated_conjecture,
( ~ hskp6
| ~ c1_1(a195) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_310,negated_conjecture,
( ~ hskp6
| ~ c3_1(a195) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_311,negated_conjecture,
( ~ hskp5
| ~ c1_1(a194) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_312,negated_conjecture,
( ~ hskp5
| ~ c2_1(a194) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_316,negated_conjecture,
( ~ hskp2
| ~ c1_1(a191) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_317,negated_conjecture,
( ~ hskp2
| ~ c2_1(a191) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_318,negated_conjecture,
( ~ hskp2
| ~ c3_1(a191) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_319,negated_conjecture,
( ~ hskp1
| ~ c3_1(a190) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_320,negated_conjecture,
( ~ hskp0
| ~ c0_1(a188) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_321,negated_conjecture,
( ~ hskp0
| ~ c1_1(a188) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_322,negated_conjecture,
( ~ hskp0
| ~ c3_1(a188) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_323,negated_conjecture,
! [X0: $i] :
( hskp1
| c3_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_324,negated_conjecture,
! [X0: $i] :
( hskp6
| c3_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_328,negated_conjecture,
! [X0: $i] :
( hskp16
| hskp23
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_329,negated_conjecture,
! [X0: $i] :
( hskp17
| hskp18
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_335,negated_conjecture,
! [X0: $i] :
( hskp7
| hskp9
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_337,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp2
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_338,negated_conjecture,
! [X0: $i] :
( hskp5
| hskp23
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_340,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp23
| c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_341,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp15
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_343,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_344,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_345,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_346,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_348,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c3_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_349,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c2_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_350,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp24
| 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_351,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_352,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_354,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp19
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_355,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_359,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_362,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_364,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_365,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_366,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_367,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_368,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_369,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_372,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_373,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_374,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_376,plain,
( hskp1
| c3_1(a188)
| c1_1(a188)
| c0_1(a188)
| ~ ndr1_0 ),
inference(instantiation,[status(thm)],[c_323]) ).
tcf(c_396,plain,
( hskp9
| hskp1 ),
inference(global_subsumption_just,[status(thm)],[c_240,c_240,c_237,c_236,c_228,c_322,c_321,c_320,c_376]) ).
tcf(c_397,negated_conjecture,
( hskp1
| hskp9 ),
inference(renaming,[status(thm)],[c_396]) ).
tcf(c_398,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_237,c_240,c_237,c_236,c_228]) ).
tcf(c_450,negated_conjecture,
! [X0: $i] :
( hskp6
| c3_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_324,c_240,c_237,c_236,c_228,c_324]) ).
tcf(c_453,negated_conjecture,
! [X0: $i] :
( hskp1
| c3_1(X0)
| c1_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_323,c_240,c_237,c_236,c_228,c_323]) ).
tcf(c_459,negated_conjecture,
! [X0: $i] :
( hskp17
| hskp18
| c3_1(X0)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_329,c_240,c_237,c_236,c_228,c_329]) ).
tcf(c_462,negated_conjecture,
! [X0: $i] :
( hskp16
| hskp23
| c3_1(X0)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_328,c_240,c_237,c_236,c_228,c_328]) ).
tcf(c_477,plain,
! [X0: $i] :
( hskp7
| hskp9
| c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_335,c_240,c_237,c_236,c_228,c_335]) ).
tcf(c_478,negated_conjecture,
! [X0: $i] :
( hskp7
| hskp9
| c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_477]) ).
tcf(c_495,plain,
! [X0: $i] :
( hskp5
| hskp23
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_338,c_240,c_237,c_236,c_228,c_338]) ).
tcf(c_496,negated_conjecture,
! [X0: $i] :
( hskp5
| hskp23
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_495]) ).
tcf(c_498,plain,
! [X0: $i] :
( hskp1
| hskp2
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_337,c_240,c_237,c_236,c_228,c_337]) ).
tcf(c_499,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp2
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_498]) ).
tcf(c_501,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp15
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_341,c_240,c_237,c_236,c_228,c_341]) ).
tcf(c_503,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp23
| c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_340,c_240,c_237,c_236,c_228,c_340]) ).
tcf(c_507,plain,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_346,c_240,c_237,c_236,c_228,c_346]) ).
tcf(c_508,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_507]) ).
tcf(c_509,plain,
! [X0: $i,X1: $i] :
( hskp10
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_345,c_240,c_237,c_236,c_228,c_345]) ).
tcf(c_510,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_509]) ).
tcf(c_511,plain,
! [X0: $i,X1: $i] :
( hskp5
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_344,c_240,c_237,c_236,c_228,c_344]) ).
tcf(c_512,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c3_1(X1)
| c3_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_511]) ).
tcf(c_514,plain,
! [X0: $i,X1: $i] :
( hskp10
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_343,c_240,c_237,c_236,c_228,c_343]) ).
tcf(c_515,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_514]) ).
tcf(c_518,plain,
! [X0: $i,X1: $i] :
( hskp19
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_354,c_240,c_237,c_236,c_228,c_354]) ).
tcf(c_519,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp19
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_518]) ).
tcf(c_523,plain,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_352,c_240,c_237,c_236,c_228,c_352]) ).
tcf(c_524,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_523]) ).
tcf(c_525,plain,
! [X0: $i,X1: $i] :
( hskp1
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_351,c_240,c_237,c_236,c_228,c_351]) ).
tcf(c_526,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_525]) ).
tcf(c_527,plain,
! [X0: $i,X1: $i] :
( hskp24
| 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_350,c_240,c_237,c_236,c_228,c_350]) ).
tcf(c_528,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp24
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_527]) ).
tcf(c_530,plain,
! [X0: $i,X1: $i] :
( hskp2
| c2_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_349,c_240,c_237,c_236,c_228,c_349]) ).
tcf(c_531,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c2_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_530]) ).
tcf(c_532,plain,
! [X0: $i,X1: $i] :
( hskp2
| c3_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_348,c_240,c_237,c_236,c_228,c_348]) ).
tcf(c_533,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c3_1(X0)
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_532]) ).
tcf(c_538,plain,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_359,c_240,c_237,c_236,c_228,c_359]) ).
tcf(c_539,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_538]) ).
tcf(c_547,plain,
! [X0: $i,X1: $i] :
( hskp7
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_355,c_240,c_237,c_236,c_228,c_355]) ).
tcf(c_548,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_547]) ).
tcf(c_549,plain,
! [X0: $i,X1: $i] :
( hskp7
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_364,c_240,c_237,c_236,c_228,c_364]) ).
tcf(c_550,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_549]) ).
tcf(c_553,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_362,c_240,c_237,c_236,c_228,c_362]) ).
tcf(c_555,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_367,c_240,c_237,c_236,c_228,c_367]) ).
tcf(c_556,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_555]) ).
tcf(c_557,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_366,c_366,c_398]) ).
tcf(c_558,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_557]) ).
tcf(c_559,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_365,c_240,c_237,c_236,c_228,c_365]) ).
tcf(c_560,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_559]) ).
tcf(c_563,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_369,c_240,c_237,c_236,c_228,c_369]) ).
tcf(c_564,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_563]) ).
tcf(c_565,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_368,c_240,c_237,c_236,c_228,c_368]) ).
tcf(c_566,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_565]) ).
tcf(c_567,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_373,c_240,c_237,c_236,c_228,c_373]) ).
tcf(c_568,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_567]) ).
tcf(c_569,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X1)
| c1_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_372,c_240,c_237,c_236,c_228,c_372]) ).
tcf(c_570,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X1)
| c1_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_569]) ).
tcf(c_573,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_374,c_240,c_237,c_236,c_228,c_374]) ).
tcf(c_574,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_573]) ).
tcf(c_1609,plain,
( hskp2
| hskp24
| ~ c2_1(a259) ),
inference(resolution,[status(thm)],[c_242,c_282]) ).
tcf(c_1619,plain,
( hskp2
| hskp24
| ~ c0_1(a259) ),
inference(resolution,[status(thm)],[c_242,c_281]) ).
tcf(c_1629,plain,
( hskp2
| hskp24
| c3_1(a259) ),
inference(resolution,[status(thm)],[c_242,c_254]) ).
tcf(c_1648,plain,
( hskp5
| hskp15
| ~ c3_1(a257) ),
inference(resolution,[status(thm)],[c_241,c_284]) ).
tcf(c_1658,plain,
( hskp5
| hskp15
| ~ c1_1(a257) ),
inference(resolution,[status(thm)],[c_241,c_283]) ).
tcf(c_1668,plain,
( hskp5
| hskp15
| c2_1(a257) ),
inference(resolution,[status(thm)],[c_241,c_255]) ).
tcf(c_4387,plain,
( hskp5
| c2_1(a257)
| ~ c3_1(a214) ),
inference(resolution,[status(thm)],[c_1668,c_295]) ).
tcf(c_4397,plain,
( hskp5
| c2_1(a257)
| ~ c0_1(a214) ),
inference(resolution,[status(thm)],[c_1668,c_294]) ).
tcf(c_4407,plain,
( hskp5
| c2_1(a214)
| c2_1(a257) ),
inference(resolution,[status(thm)],[c_1668,c_262]) ).
tcf(c_4417,plain,
( hskp5
| ~ c3_1(a214)
| ~ c1_1(a257) ),
inference(resolution,[status(thm)],[c_1658,c_295]) ).
tcf(c_4427,plain,
( hskp5
| ~ c1_1(a257)
| ~ c0_1(a214) ),
inference(resolution,[status(thm)],[c_1658,c_294]) ).
tcf(c_4437,plain,
( hskp5
| c2_1(a214)
| ~ c1_1(a257) ),
inference(resolution,[status(thm)],[c_1658,c_262]) ).
tcf(c_4447,plain,
( hskp5
| ~ c3_1(a214)
| ~ c3_1(a257) ),
inference(resolution,[status(thm)],[c_1648,c_295]) ).
tcf(c_4457,plain,
( hskp5
| ~ c3_1(a257)
| ~ c0_1(a214) ),
inference(resolution,[status(thm)],[c_1648,c_294]) ).
tcf(c_4467,plain,
( hskp5
| c2_1(a214)
| ~ c3_1(a257) ),
inference(resolution,[status(thm)],[c_1648,c_262]) ).
tcf(c_4573,plain,
( hskp2
| hskp25
| ~ c3_1(a214) ),
inference(resolution,[status(thm)],[c_238,c_295]) ).
tcf(c_4583,plain,
( hskp2
| hskp25
| ~ c0_1(a214) ),
inference(resolution,[status(thm)],[c_238,c_294]) ).
tcf(c_4593,plain,
( hskp2
| hskp25
| c2_1(a214) ),
inference(resolution,[status(thm)],[c_238,c_262]) ).
tcf(c_6259,plain,
( hskp1
| ~ c1_1(a199) ),
inference(resolution,[status(thm)],[c_397,c_305]) ).
tcf(c_6266,plain,
( hskp1
| ~ c0_1(a199) ),
inference(resolution,[status(thm)],[c_397,c_304]) ).
tcf(c_6273,plain,
( hskp1
| c2_1(a199) ),
inference(resolution,[status(thm)],[c_397,c_270]) ).
tcf(c_6703,plain,
( hskp9
| hskp23
| ~ c3_1(a191) ),
inference(resolution,[status(thm)],[c_239,c_318]) ).
tcf(c_6713,plain,
( hskp9
| hskp23
| ~ c2_1(a191) ),
inference(resolution,[status(thm)],[c_239,c_317]) ).
tcf(c_6723,plain,
( hskp9
| hskp23
| ~ c1_1(a191) ),
inference(resolution,[status(thm)],[c_239,c_316]) ).
tcf(c_12967,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_574]) ).
tcf(c_12968,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ~ c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_574]) ).
tcf(c_12969,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_574]) ).
tcf(c_12970,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_574]) ).
tcf(c_12971,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_570]) ).
tcf(c_12972,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_570]) ).
tcf(c_12973,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| ~ c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_570]) ).
tcf(c_12974,negated_conjecture,
( iPr_def_15
| iPr_def_14
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_570]) ).
tcf(c_12975,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_568]) ).
tcf(c_12976,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| ~ c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_568]) ).
tcf(c_12977,negated_conjecture,
( iPr_def_17
| iPr_def_16
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_568]) ).
tcf(c_12978,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_566]) ).
tcf(c_12979,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_566]) ).
tcf(c_12980,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_566]) ).
tcf(c_12982,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_564]) ).
tcf(c_12983,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_22
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_564]) ).
tcf(c_12984,negated_conjecture,
( iPr_def_22
| iPr_def_21
| iPr_def_16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_564]) ).
tcf(c_12987,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_560]) ).
tcf(c_12988,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_560]) ).
tcf(c_12989,negated_conjecture,
( iPr_def_25
| iPr_def_24
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_560]) ).
tcf(c_12990,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_26
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_558]) ).
tcf(c_12991,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_27
| ~ c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_558]) ).
tcf(c_12992,negated_conjecture,
( iPr_def_27
| iPr_def_26
| iPr_def_24 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_558]) ).
tcf(c_12993,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_556]) ).
tcf(c_12994,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_556]) ).
tcf(c_12995,negated_conjecture,
( iPr_def_29
| iPr_def_28
| iPr_def_19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_556]) ).
tcf(c_12996,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_553]) ).
tcf(c_12997,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| c1_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_553]) ).
tcf(c_12998,negated_conjecture,
( iPr_def_31
| iPr_def_30
| iPr_def_19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_553]) ).
tcf(c_13000,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_550]) ).
tcf(c_13001,negated_conjecture,
( iPr_def_32
| iPr_def_22
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_550]) ).
tcf(c_13002,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_33
| c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_548]) ).
tcf(c_13009,negated_conjecture,
( iPr_def_27
| iPr_def_10
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_539]) ).
tcf(c_13013,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_533]) ).
tcf(c_13014,negated_conjecture,
( iPr_def_37
| iPr_def_15
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_533]) ).
tcf(c_13015,negated_conjecture,
( iPr_def_27
| iPr_def_18
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_531]) ).
tcf(c_13016,negated_conjecture,
( iPr_def_27
| iPr_def_20
| hskp24 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_528]) ).
tcf(c_13017,negated_conjecture,
( iPr_def_29
| iPr_def_27
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_526]) ).
tcf(c_13018,negated_conjecture,
( iPr_def_25
| iPr_def_15
| hskp13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_524]) ).
tcf(c_13020,negated_conjecture,
( iPr_def_29
| iPr_def_28
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_519]) ).
tcf(c_13022,negated_conjecture,
( iPr_def_19
| iPr_def_16
| hskp10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_515]) ).
tcf(c_13023,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_512]) ).
tcf(c_13024,negated_conjecture,
( iPr_def_38
| iPr_def_21
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_512]) ).
tcf(c_13025,negated_conjecture,
( iPr_def_31
| iPr_def_26
| hskp10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_510]) ).
tcf(c_13026,negated_conjecture,
( iPr_def_32
| iPr_def_31
| hskp13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_508]) ).
tcf(c_13028,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_39
| c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_503]) ).
tcf(c_13029,negated_conjecture,
( iPr_def_39
| iPr_def_33
| hskp23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_503]) ).
tcf(c_13030,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_40
| ~ c1_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_501]) ).
tcf(c_13031,negated_conjecture,
( iPr_def_40
| iPr_def_31
| hskp15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_501]) ).
tcf(c_13032,negated_conjecture,
( iPr_def_10
| hskp1
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_499]) ).
tcf(c_13033,negated_conjecture,
( iPr_def_12
| hskp5
| hskp23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_496]) ).
tcf(c_13039,negated_conjecture,
( iPr_def_15
| hskp7
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_478]) ).
tcf(c_13044,negated_conjecture,
( iPr_def_11
| hskp16
| hskp23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_462]) ).
tcf(c_13045,negated_conjecture,
( iPr_def_11
| hskp17
| hskp18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_459]) ).
tcf(c_13078,plain,
( ~ iPr_def_10
| ~ c3_1(a215)
| ~ c1_1(a215)
| ~ c0_1(a215) ),
inference(instantiation,[status(thm)],[c_12967]) ).
tcf(c_13079,plain,
( ~ iPr_def_10
| ~ c3_1(a189)
| ~ c1_1(a189)
| ~ c0_1(a189) ),
inference(instantiation,[status(thm)],[c_12967]) ).
tcf(c_13085,plain,
( c1_1(a225)
| ~ iPr_def_13
| ~ c3_1(a225)
| ~ c2_1(a225) ),
inference(instantiation,[status(thm)],[c_12971]) ).
tcf(c_13091,plain,
( c3_1(a195)
| c2_1(a195)
| ~ iPr_def_16
| ~ c0_1(a195) ),
inference(instantiation,[status(thm)],[c_12975]) ).
tcf(c_13092,plain,
( c3_1(a194)
| c2_1(a194)
| ~ iPr_def_16
| ~ c0_1(a194) ),
inference(instantiation,[status(thm)],[c_12975]) ).
tcf(c_13096,plain,
( c2_1(a225)
| c0_1(a225)
| ~ iPr_def_19
| ~ c3_1(a225) ),
inference(instantiation,[status(thm)],[c_12979]) ).
tcf(c_13097,plain,
( c2_1(a209)
| c0_1(a209)
| ~ iPr_def_19
| ~ c3_1(a209) ),
inference(instantiation,[status(thm)],[c_12979]) ).
tcf(c_13103,plain,
( c1_1(a199)
| c0_1(a199)
| ~ iPr_def_24
| ~ c2_1(a199) ),
inference(instantiation,[status(thm)],[c_12987]) ).
tcf(c_13105,plain,
( ~ iPr_def_12
| ~ c3_1(a215)
| ~ c2_1(a215)
| ~ c0_1(a215) ),
inference(instantiation,[status(thm)],[c_12969]) ).
tcf(c_13106,plain,
( ~ iPr_def_12
| ~ c3_1(a189)
| ~ c2_1(a189)
| ~ c0_1(a189) ),
inference(instantiation,[status(thm)],[c_12969]) ).
tcf(c_13109,plain,
( ~ iPr_def_12
| ~ c3_1(a200)
| ~ c2_1(a200)
| ~ c0_1(a200) ),
inference(instantiation,[status(thm)],[c_12969]) ).
tcf(c_13116,plain,
( c3_1(a190)
| ~ iPr_def_17
| ~ c2_1(a190)
| ~ c1_1(a190) ),
inference(instantiation,[status(thm)],[c_12976]) ).
tcf(c_13119,plain,
( c3_1(a222)
| c0_1(a222)
| ~ iPr_def_21
| ~ c2_1(a222) ),
inference(instantiation,[status(thm)],[c_12982]) ).
tcf(c_13120,plain,
( c3_1(a214)
| c0_1(a214)
| ~ iPr_def_21
| ~ c2_1(a214) ),
inference(instantiation,[status(thm)],[c_12982]) ).
tcf(c_13123,plain,
( ~ iPr_def_22
| ~ c2_1(a230)
| ~ c1_1(a230)
| ~ c0_1(a230) ),
inference(instantiation,[status(thm)],[c_12983]) ).
tcf(c_13124,plain,
( ~ iPr_def_22
| ~ c2_1(a215)
| ~ c1_1(a215)
| ~ c0_1(a215) ),
inference(instantiation,[status(thm)],[c_12983]) ).
tcf(c_13125,plain,
( ~ iPr_def_22
| ~ c2_1(a222)
| ~ c1_1(a222)
| ~ c0_1(a222) ),
inference(instantiation,[status(thm)],[c_12983]) ).
tcf(c_13128,plain,
( ~ iPr_def_22
| ~ c2_1(a190)
| ~ c1_1(a190)
| ~ c0_1(a190) ),
inference(instantiation,[status(thm)],[c_12983]) ).
tcf(c_13130,plain,
( c0_1(a215)
| ~ iPr_def_18
| ~ c2_1(a215)
| ~ c1_1(a215) ),
inference(instantiation,[status(thm)],[c_12978]) ).
tcf(c_13131,plain,
( c0_1(a222)
| ~ iPr_def_18
| ~ c2_1(a222)
| ~ c1_1(a222) ),
inference(instantiation,[status(thm)],[c_12978]) ).
tcf(c_13132,plain,
( c0_1(a214)
| ~ iPr_def_18
| ~ c2_1(a214)
| ~ c1_1(a214) ),
inference(instantiation,[status(thm)],[c_12978]) ).
tcf(c_13138,plain,
( c3_1(a214)
| c1_1(a214)
| ~ iPr_def_28
| ~ c2_1(a214) ),
inference(instantiation,[status(thm)],[c_12993]) ).
tcf(c_13139,plain,
( c3_1(a199)
| c1_1(a199)
| ~ iPr_def_28
| ~ c2_1(a199) ),
inference(instantiation,[status(thm)],[c_12993]) ).
tcf(c_13140,plain,
( c3_1(a190)
| c1_1(a190)
| ~ iPr_def_28
| ~ c2_1(a190) ),
inference(instantiation,[status(thm)],[c_12993]) ).
tcf(c_13149,plain,
( c0_1(a215)
| ~ iPr_def_26
| ~ c3_1(a215)
| ~ c1_1(a215) ),
inference(instantiation,[status(thm)],[c_12990]) ).
tcf(c_13152,plain,
( c0_1(a209)
| ~ iPr_def_26
| ~ c3_1(a209)
| ~ c1_1(a209) ),
inference(instantiation,[status(thm)],[c_12990]) ).
tcf(c_13155,plain,
( c2_1(a221)
| c1_1(a221)
| c0_1(a221)
| ~ iPr_def_30 ),
inference(instantiation,[status(thm)],[c_12996]) ).
tcf(c_13157,plain,
( c3_1(a221)
| c1_1(a221)
| c0_1(a221)
| ~ iPr_def_39 ),
inference(instantiation,[status(thm)],[c_13028]) ).
tcf(c_13158,plain,
( c3_1(a214)
| c1_1(a214)
| c0_1(a214)
| ~ iPr_def_39 ),
inference(instantiation,[status(thm)],[c_13028]) ).
tcf(c_13166,plain,
( c1_1(a200)
| ~ iPr_def_20
| ~ c3_1(a200)
| ~ c0_1(a200) ),
inference(instantiation,[status(thm)],[c_12980]) ).
tcf(c_13180,plain,
( c1_1(a225)
| c0_1(a225)
| ~ iPr_def_24
| ~ c2_1(a225) ),
inference(instantiation,[status(thm)],[c_12987]) ).
tcf(c_13184,plain,
( c0_1(a199)
| ~ iPr_def_32
| ~ c3_1(a199)
| ~ c2_1(a199) ),
inference(instantiation,[status(thm)],[c_13000]) ).
tcf(c_13190,plain,
( c1_1(a199)
| ~ iPr_def_13
| ~ c3_1(a199)
| ~ c2_1(a199) ),
inference(instantiation,[status(thm)],[c_12971]) ).
tcf(c_13194,plain,
( hskp1
| c3_1(a214)
| c1_1(a214)
| c0_1(a214) ),
inference(instantiation,[status(thm)],[c_453]) ).
tcf(c_13197,plain,
( hskp1
| c3_1(a199)
| c1_1(a199)
| c0_1(a199) ),
inference(instantiation,[status(thm)],[c_453]) ).
tcf(c_13204,plain,
( c3_1(a214)
| ~ iPr_def_29
| ~ c2_1(a214)
| ~ c0_1(a214) ),
inference(instantiation,[status(thm)],[c_12994]) ).
tcf(c_13216,plain,
( c3_1(a195)
| c1_1(a195)
| ~ iPr_def_11
| ~ c0_1(a195) ),
inference(instantiation,[status(thm)],[c_12968]) ).
tcf(c_13218,plain,
( c3_1(a190)
| c1_1(a190)
| ~ iPr_def_11
| ~ c0_1(a190) ),
inference(instantiation,[status(thm)],[c_12968]) ).
tcf(c_13223,plain,
( hskp1
| c3_1(a191)
| c1_1(a191)
| c0_1(a191) ),
inference(instantiation,[status(thm)],[c_453]) ).
tcf(c_13224,plain,
( hskp1
| c3_1(a190)
| c1_1(a190)
| c0_1(a190) ),
inference(instantiation,[status(thm)],[c_453]) ).
tcf(c_13229,plain,
( c2_1(a191)
| c1_1(a191)
| c0_1(a191)
| ~ iPr_def_30 ),
inference(instantiation,[status(thm)],[c_12996]) ).
tcf(c_13240,plain,
( c3_1(a191)
| c1_1(a191)
| c0_1(a191)
| ~ iPr_def_39 ),
inference(instantiation,[status(thm)],[c_13028]) ).
tcf(c_13249,plain,
( c3_1(a195)
| c1_1(a195)
| ~ iPr_def_28
| ~ c2_1(a195) ),
inference(instantiation,[status(thm)],[c_12993]) ).
tcf(c_13253,plain,
( c3_1(a230)
| ~ iPr_def_29
| ~ c2_1(a230)
| ~ c0_1(a230) ),
inference(instantiation,[status(thm)],[c_12994]) ).
tcf(c_13255,plain,
( c3_1(a195)
| ~ iPr_def_29
| ~ c2_1(a195)
| ~ c0_1(a195) ),
inference(instantiation,[status(thm)],[c_12994]) ).
tcf(c_13257,plain,
( c3_1(a190)
| ~ iPr_def_29
| ~ c2_1(a190)
| ~ c0_1(a190) ),
inference(instantiation,[status(thm)],[c_12994]) ).
tcf(c_13289,plain,
( c3_1(a195)
| c2_1(a195)
| c1_1(a195)
| ~ iPr_def_31 ),
inference(instantiation,[status(thm)],[c_12997]) ).
tcf(c_13290,plain,
( c3_1(a194)
| c2_1(a194)
| c1_1(a194)
| ~ iPr_def_31 ),
inference(instantiation,[status(thm)],[c_12997]) ).
tcf(c_13291,plain,
( c3_1(a191)
| c2_1(a191)
| c1_1(a191)
| ~ iPr_def_31 ),
inference(instantiation,[status(thm)],[c_12997]) ).
tcf(c_13292,plain,
( c3_1(a190)
| c2_1(a190)
| c1_1(a190)
| ~ iPr_def_31 ),
inference(instantiation,[status(thm)],[c_12997]) ).
tcf(c_13326,plain,
( ~ iPr_def_12
| ~ c3_1(a230)
| ~ c2_1(a230)
| ~ c0_1(a230) ),
inference(instantiation,[status(thm)],[c_12969]) ).
tcf(c_13329,plain,
( ~ iPr_def_10
| ~ c3_1(a230)
| ~ c1_1(a230)
| ~ c0_1(a230) ),
inference(instantiation,[status(thm)],[c_12967]) ).
tcf(c_13330,plain,
( c2_1(a189)
| ~ iPr_def_14
| ~ c3_1(a189)
| ~ c0_1(a189) ),
inference(instantiation,[status(thm)],[c_12972]) ).
tcf(c_13368,plain,
( hskp6
| c3_1(a197)
| c2_1(a197)
| c0_1(a197) ),
inference(instantiation,[status(thm)],[c_450]) ).
tcf(c_13370,plain,
( hskp6
| c3_1(a191)
| c2_1(a191)
| c0_1(a191) ),
inference(instantiation,[status(thm)],[c_450]) ).
tcf(c_13409,plain,
( c1_1(a194)
| ~ iPr_def_20
| ~ c3_1(a194)
| ~ c0_1(a194) ),
inference(instantiation,[status(thm)],[c_12980]) ).
tcf(c_13410,plain,
( c2_1(a194)
| c1_1(a194)
| ~ iPr_def_25
| ~ c3_1(a194) ),
inference(instantiation,[status(thm)],[c_12988]) ).
tcf(c_13434,plain,
( c3_1(a191)
| c1_1(a191)
| ~ iPr_def_11
| ~ c0_1(a191) ),
inference(instantiation,[status(thm)],[c_12968]) ).
tcf(c_13602,plain,
( c2_1(a221)
| c0_1(a221)
| ~ iPr_def_19
| ~ c3_1(a221) ),
inference(instantiation,[status(thm)],[c_12979]) ).
tcf(c_13605,plain,
( c2_1(a221)
| c1_1(a221)
| ~ iPr_def_25
| ~ c3_1(a221) ),
inference(instantiation,[status(thm)],[c_12988]) ).
tcf(c_13608,plain,
( c2_1(a191)
| c1_1(a191)
| ~ iPr_def_27
| ~ c0_1(a191) ),
inference(instantiation,[status(thm)],[c_12991]) ).
tcf(c_13615,plain,
( c3_1(a222)
| c0_1(a222)
| ~ iPr_def_38
| ~ c1_1(a222) ),
inference(instantiation,[status(thm)],[c_13023]) ).
tcf(c_13616,plain,
( c3_1(a214)
| c0_1(a214)
| ~ iPr_def_38
| ~ c1_1(a214) ),
inference(instantiation,[status(thm)],[c_13023]) ).
tcf(c_13632,plain,
( c2_1(a259)
| c0_1(a259)
| ~ iPr_def_19
| ~ c3_1(a259) ),
inference(instantiation,[status(thm)],[c_12979]) ).
tcf(c_13644,plain,
( c2_1(a197)
| c0_1(a197)
| ~ iPr_def_33
| ~ c1_1(a197) ),
inference(instantiation,[status(thm)],[c_13002]) ).
tcf(c_13646,plain,
( c2_1(a197)
| c0_1(a197)
| ~ iPr_def_19
| ~ c3_1(a197) ),
inference(instantiation,[status(thm)],[c_12979]) ).
tcf(c_13651,plain,
( c3_1(a197)
| c2_1(a197)
| ~ iPr_def_40
| ~ c1_1(a197) ),
inference(instantiation,[status(thm)],[c_13030]) ).
tcf(c_13678,plain,
( c3_1(a257)
| c1_1(a257)
| ~ iPr_def_28
| ~ c2_1(a257) ),
inference(instantiation,[status(thm)],[c_12993]) ).
tcf(c_13693,plain,
( c3_1(a222)
| ~ iPr_def_15
| ~ c1_1(a222)
| ~ c0_1(a222) ),
inference(instantiation,[status(thm)],[c_12973]) ).
tcf(c_13734,plain,
( c2_1(a190)
| c1_1(a190)
| ~ iPr_def_27
| ~ c0_1(a190) ),
inference(instantiation,[status(thm)],[c_12991]) ).
tcf(c_13735,plain,
( c3_1(a190)
| ~ iPr_def_15
| ~ c1_1(a190)
| ~ c0_1(a190) ),
inference(instantiation,[status(thm)],[c_12973]) ).
tcf(c_13743,plain,
( c0_1(a225)
| ~ iPr_def_32
| ~ c3_1(a225)
| ~ c2_1(a225) ),
inference(instantiation,[status(thm)],[c_13000]) ).
tcf(c_13744,plain,
( c0_1(a209)
| ~ iPr_def_32
| ~ c3_1(a209)
| ~ c2_1(a209) ),
inference(instantiation,[status(thm)],[c_13000]) ).
tcf(c_13753,plain,
( c3_1(a190)
| c0_1(a190)
| ~ iPr_def_38
| ~ c1_1(a190) ),
inference(instantiation,[status(thm)],[c_13023]) ).
tcf(c_13758,plain,
( c1_1(a225)
| c0_1(a225)
| ~ iPr_def_37
| ~ c3_1(a225) ),
inference(instantiation,[status(thm)],[c_13013]) ).
tcf(c_13770,plain,
( c2_1(a195)
| c1_1(a195)
| ~ iPr_def_27
| ~ c0_1(a195) ),
inference(instantiation,[status(thm)],[c_12991]) ).
tcf(c_13782,plain,
( c2_1(a223)
| c0_1(a223)
| ~ iPr_def_19
| ~ c3_1(a223) ),
inference(instantiation,[status(thm)],[c_12979]) ).
tcf(c_13786,plain,
( c2_1(a200)
| c1_1(a200)
| ~ iPr_def_27
| ~ c0_1(a200) ),
inference(instantiation,[status(thm)],[c_12991]) ).
tcf(c_13805,plain,
( c0_1(a209)
| ~ iPr_def_18
| ~ c2_1(a209)
| ~ c1_1(a209) ),
inference(instantiation,[status(thm)],[c_12978]) ).
tcf(c_13852,plain,
( c1_1(a199)
| c0_1(a199)
| ~ iPr_def_37
| ~ c3_1(a199) ),
inference(instantiation,[status(thm)],[c_13013]) ).
tcf(c_13883,plain,
( c2_1(a223)
| c1_1(a223)
| ~ iPr_def_27
| ~ c0_1(a223) ),
inference(instantiation,[status(thm)],[c_12991]) ).
tcf(c_13892,plain,
( c2_1(a194)
| c1_1(a194)
| ~ iPr_def_27
| ~ c0_1(a194) ),
inference(instantiation,[status(thm)],[c_12991]) ).
tcf(c_13909,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_13892,c_13883,c_13852,c_13805,c_13786,c_13782,c_13770,c_13758,c_13753,c_13744,c_13743,c_13734,c_13735,c_13693,c_13678,c_13651,c_13644,c_13646,c_13632,c_13616,c_13615,c_13608,c_13605,c_13602,c_13434,c_13409,c_13410,c_13370,c_13368,c_13330,c_13326,c_13329,c_13292,c_13291,c_13290,c_13289,c_13257,c_13255,c_13253,c_13249,c_13240,c_13229,c_13224,c_13223,c_13218,c_13216,c_13204,c_13197,c_13194,c_13184,c_13190,c_13180,c_13166,c_13158,c_13157,c_13155,c_13152,c_13149,c_13140,c_13139,c_13138,c_13132,c_13131,c_13130,c_13128,c_13125,c_13124,c_13123,c_13120,c_13119,c_13116,c_13109,c_13106,c_13105,c_13103,c_13097,c_13096,c_13092,c_13091,c_13085,c_13079,c_13078,c_13045,c_13044,c_13039,c_13033,c_13032,c_13031,c_13029,c_13026,c_13025,c_13024,c_13022,c_13020,c_13018,c_13017,c_13016,c_13015,c_13014,c_13009,c_13001,c_12998,c_12995,c_12992,c_12989,c_12984,c_12977,c_12974,c_12970,c_6723,c_6713,c_6703,c_6273,c_6266,c_6259,c_4593,c_4583,c_4573,c_4467,c_4457,c_4447,c_4437,c_4427,c_4417,c_4407,c_4397,c_4387,c_1629,c_1619,c_1609,c_397,c_286,c_287,c_288,c_289,c_290,c_291,c_292,c_293,c_294,c_295,c_297,c_303,c_304,c_305,c_307,c_308,c_309,c_310,c_311,c_312,c_316,c_317,c_318,c_319,c_245,c_246,c_247,c_248,c_249,c_250,c_251,c_252,c_253,c_258,c_259,c_260,c_261,c_262,c_265,c_266,c_268,c_269,c_270,c_273,c_274,c_275,c_279,c_280,c_239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN459-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.35 % Computer : n014.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Fri Sep 25 01:18:02 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running EPR theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 3.68/1.15 % SZS status Started for theBenchmark.p
% 3.68/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.68/1.15
% 3.68/1.15 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.68/1.15
% 3.68/1.15 % ------ iProver source info
% 3.68/1.15
% 3.68/1.15 % git: date: 2026-07-19 20:42:38 +0200
% 3.68/1.15 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.68/1.15 % git: non_committed_changes: false
% 3.68/1.15
% 3.68/1.15 % ------ Parsing...% successful
% 3.68/1.15
% 3.68/1.15
% 3.68/1.15 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 3.68/1.15 %
% 3.68/1.15
% 3.68/1.15 % ------ 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 %
% 3.68/1.15
% 3.68/1.15 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 3.68/1.15 gs_s sp: 93 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.68/1.15 % ------ Proving...
% 3.68/1.15 % ------ Problem Properties
% 3.68/1.15
% 3.68/1.15 %
% 3.68/1.15 % clauses 165
% 3.68/1.15 % conjectures 159
% 3.68/1.15 % EPR 165
% 3.68/1.15 % Horn 88
% 3.68/1.15 % unary 0
% 3.68/1.15 % binary 73
% 3.68/1.15 % lits 454
% 3.68/1.15 % lits eq 0
% 3.68/1.15 % fd_pure 0
% 3.68/1.15 % fd_pseudo 0
% 3.68/1.15 % fd_cond 0
% 3.68/1.15 % fd_pseudo_cond 0
% 3.68/1.15 % AC symbols 0
% 3.68/1.15
% 3.68/1.15 % ------ Schedule EPR non Horn non eq is on
% 3.68/1.15
% 3.68/1.15 % ------ no equalities: superposition off
% 3.68/1.15
% 3.68/1.15 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.68/1.15
% 3.68/1.15
% 3.68/1.15 % ------
% 3.68/1.15 % Current options:
% 3.68/1.15 % ------
% 3.68/1.15
% 3.68/1.15
% 3.68/1.15 %
% 3.68/1.15
% 3.68/1.15 % ------ Proving...
% 3.68/1.15 %
% 3.68/1.15
% 3.68/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.68/1.15
% 3.68/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.68/1.15
% 3.68/1.15
%------------------------------------------------------------------------------