%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN482-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.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 03:40:28 PM UTC 2026
% Result : Unsatisfiable 4.14s 1.24s
% Output : CNFRefutation 4.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 96
% Syntax : Number of formulae : 358 ( 2 unt; 0 def)
% Number of atoms : 1540 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2060 ( 878 ~;1182 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 49 ( 48 usr; 45 prp; 0-1 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 253 ( 0 sgn 253 !; 0 ?; 194 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
( ndr1_0
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f20,negated_conjecture,
( ndr1_0
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f31,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f32,negated_conjecture,
( hskp4
| hskp1
| hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f36,negated_conjecture,
( hskp26
| hskp0
| hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f37,negated_conjecture,
( hskp22
| hskp10
| hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f38,negated_conjecture,
( c1_1(a1823)
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f39,negated_conjecture,
( c2_1(a1823)
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f40,negated_conjecture,
( c3_1(a1823)
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f41,negated_conjecture,
( c0_1(a1805)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f42,negated_conjecture,
( c2_1(a1805)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( c3_1(a1805)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( c0_1(a1795)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( c1_1(a1795)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( c2_1(a1795)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( c0_1(a1756)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( c1_1(a1756)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( c3_1(a1756)
| ~ hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f52,negated_conjecture,
( c3_1(a1799)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( c0_1(a1788)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f54,negated_conjecture,
( c2_1(a1788)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f57,negated_conjecture,
( c1_1(a1783)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f58,negated_conjecture,
( c3_1(a1783)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( c2_1(a1781)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( c3_1(a1781)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( c1_1(a1780)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( c3_1(a1780)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( c0_1(a1779)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f65,negated_conjecture,
( c1_1(a1771)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( c2_1(a1771)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( c1_1(a1770)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( c0_1(a1768)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( c3_1(a1768)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( c3_1(a1767)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f72,negated_conjecture,
( c0_1(a1765)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( c2_1(a1765)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f76,negated_conjecture,
( c2_1(a1762)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( c3_1(a1762)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( c1_1(a1759)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( c1_1(a1758)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( c2_1(a1758)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f83,negated_conjecture,
( c1_1(a1755)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause83) ).
fof(f95,negated_conjecture,
( ~ hskp22
| ~ c0_1(a1799) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
fof(f96,negated_conjecture,
( ~ hskp22
| ~ c2_1(a1799) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f97,negated_conjecture,
( ~ hskp21
| ~ c3_1(a1788) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f99,negated_conjecture,
( ~ hskp19
| ~ c0_1(a1783) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f103,negated_conjecture,
( ~ hskp17
| ~ c1_1(a1781) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ hskp16
| ~ c2_1(a1780) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ hskp15
| ~ c2_1(a1779) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ hskp15
| ~ c3_1(a1779) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f109,negated_conjecture,
( ~ hskp13
| ~ c0_1(a1771) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ hskp12
| ~ c0_1(a1770) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ hskp12
| ~ c3_1(a1770) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f112,negated_conjecture,
( ~ hskp11
| ~ c2_1(a1768) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ hskp10
| ~ c0_1(a1767) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ hskp10
| ~ c1_1(a1767) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f117,negated_conjecture,
( ~ hskp8
| ~ c1_1(a1765) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f119,negated_conjecture,
( ~ hskp6
| ~ c0_1(a1762) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ hskp5
| ~ c0_1(a1760) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ hskp5
| ~ c2_1(a1760) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ hskp5
| ~ c3_1(a1760) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ hskp4
| ~ c2_1(a1759) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
( ~ hskp4
| ~ c3_1(a1759) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ hskp3
| ~ c3_1(a1758) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f127,negated_conjecture,
( ~ hskp1
| ~ c0_1(a1755) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ hskp1
| ~ c2_1(a1755) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f131,negated_conjecture,
! [X0] :
( hskp11
| c3_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f136,negated_conjecture,
! [X0] :
( hskp12
| hskp27
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
fof(f138,negated_conjecture,
! [X0] :
( hskp6
| hskp19
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f140,negated_conjecture,
! [X0] :
( hskp13
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f144,negated_conjecture,
! [X0] :
( hskp22
| hskp27
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
fof(f147,negated_conjecture,
! [X0] :
( hskp19
| hskp13
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
fof(f148,negated_conjecture,
! [X0] :
( hskp30
| hskp29
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f151,negated_conjecture,
! [X0] :
( hskp4
| hskp29
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
fof(f153,negated_conjecture,
! [X0] :
( hskp22
| hskp16
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
fof(f160,negated_conjecture,
! [X0,X1] :
( hskp13
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| c0_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
fof(f161,negated_conjecture,
! [X0,X1] :
( hskp27
| c2_1(X1)
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f162,negated_conjecture,
! [X0,X1] :
( hskp10
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause162) ).
fof(f165,negated_conjecture,
! [X0,X1] :
( hskp11
| c2_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
fof(f166,negated_conjecture,
! [X0,X1] :
( hskp10
| c2_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
fof(f168,negated_conjecture,
! [X0,X1] :
( hskp17
| c3_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
fof(f175,negated_conjecture,
! [X0,X1] :
( hskp22
| c3_1(X1)
| c1_1(X1)
| c3_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
fof(f177,negated_conjecture,
! [X0,X1] :
( hskp8
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
fof(f178,negated_conjecture,
! [X0,X1] :
( hskp3
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
fof(f179,negated_conjecture,
! [X0,X1] :
( hskp21
| c0_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f182,negated_conjecture,
! [X0,X1] :
( hskp24
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
fof(f186,negated_conjecture,
! [X0,X1] :
( hskp17
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
fof(f188,negated_conjecture,
! [X0,X1] :
( hskp5
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).
fof(f191,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).
fof(f192,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c1_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause192) ).
fof(f193,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause193) ).
fof(f196,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c1_1(X1)
| c2_1(X0)
| ~ c3_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause196) ).
fof(f197,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause197) ).
fof(f198,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause198) ).
fof(f199,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c3_1(X1)
| ~ c2_1(X2)
| ~ c0_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).
fof(f200,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause200) ).
tcf(c_253,negated_conjecture,
( ndr1_0
| ~ hskp26 ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_268,negated_conjecture,
( ndr1_0
| ~ hskp11 ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_279,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_280,negated_conjecture,
( hskp1
| hskp4
| hskp28 ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_284,negated_conjecture,
( hskp0
| hskp11
| hskp26 ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_285,negated_conjecture,
( hskp10
| hskp15
| hskp22 ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_286,negated_conjecture,
( c1_1(a1823)
| ~ hskp30 ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_287,negated_conjecture,
( c2_1(a1823)
| ~ hskp30 ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_288,negated_conjecture,
( c3_1(a1823)
| ~ hskp30 ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_289,negated_conjecture,
( c0_1(a1805)
| ~ hskp29 ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_290,negated_conjecture,
( c2_1(a1805)
| ~ hskp29 ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_291,negated_conjecture,
( c3_1(a1805)
| ~ hskp29 ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_292,negated_conjecture,
( c0_1(a1795)
| ~ hskp28 ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_293,negated_conjecture,
( c1_1(a1795)
| ~ hskp28 ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_294,negated_conjecture,
( c2_1(a1795)
| ~ hskp28 ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_295,negated_conjecture,
( c0_1(a1756)
| ~ hskp27 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_296,negated_conjecture,
( c1_1(a1756)
| ~ hskp27 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_297,negated_conjecture,
( c3_1(a1756)
| ~ hskp27 ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_300,negated_conjecture,
( c3_1(a1799)
| ~ hskp22 ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_301,negated_conjecture,
( c0_1(a1788)
| ~ hskp21 ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_302,negated_conjecture,
( c2_1(a1788)
| ~ hskp21 ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_305,negated_conjecture,
( c1_1(a1783)
| ~ hskp19 ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_306,negated_conjecture,
( c3_1(a1783)
| ~ hskp19 ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_307,negated_conjecture,
( c2_1(a1781)
| ~ hskp17 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_308,negated_conjecture,
( c3_1(a1781)
| ~ hskp17 ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_309,negated_conjecture,
( c1_1(a1780)
| ~ hskp16 ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_310,negated_conjecture,
( c3_1(a1780)
| ~ hskp16 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_311,negated_conjecture,
( c0_1(a1779)
| ~ hskp15 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_313,negated_conjecture,
( c1_1(a1771)
| ~ hskp13 ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_314,negated_conjecture,
( c2_1(a1771)
| ~ hskp13 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_315,negated_conjecture,
( c1_1(a1770)
| ~ hskp12 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_316,negated_conjecture,
( c0_1(a1768)
| ~ hskp11 ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_317,negated_conjecture,
( c3_1(a1768)
| ~ hskp11 ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_318,negated_conjecture,
( c3_1(a1767)
| ~ hskp10 ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_320,negated_conjecture,
( c0_1(a1765)
| ~ hskp8 ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_321,negated_conjecture,
( c2_1(a1765)
| ~ hskp8 ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_324,negated_conjecture,
( c2_1(a1762)
| ~ hskp6 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_325,negated_conjecture,
( c3_1(a1762)
| ~ hskp6 ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_326,negated_conjecture,
( c1_1(a1759)
| ~ hskp4 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_327,negated_conjecture,
( c1_1(a1758)
| ~ hskp3 ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_328,negated_conjecture,
( c2_1(a1758)
| ~ hskp3 ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_331,negated_conjecture,
( c1_1(a1755)
| ~ hskp1 ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_343,negated_conjecture,
( ~ hskp22
| ~ c0_1(a1799) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_344,negated_conjecture,
( ~ hskp22
| ~ c2_1(a1799) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_345,negated_conjecture,
( ~ hskp21
| ~ c3_1(a1788) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_347,negated_conjecture,
( ~ hskp19
| ~ c0_1(a1783) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_351,negated_conjecture,
( ~ hskp17
| ~ c1_1(a1781) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_352,negated_conjecture,
( ~ hskp16
| ~ c2_1(a1780) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_353,negated_conjecture,
( ~ hskp15
| ~ c2_1(a1779) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_354,negated_conjecture,
( ~ hskp15
| ~ c3_1(a1779) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_357,negated_conjecture,
( ~ hskp13
| ~ c0_1(a1771) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_358,negated_conjecture,
( ~ hskp12
| ~ c0_1(a1770) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_359,negated_conjecture,
( ~ hskp12
| ~ c3_1(a1770) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_360,negated_conjecture,
( ~ hskp11
| ~ c2_1(a1768) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_361,negated_conjecture,
( ~ hskp10
| ~ c0_1(a1767) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_362,negated_conjecture,
( ~ hskp10
| ~ c1_1(a1767) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_365,negated_conjecture,
( ~ hskp8
| ~ c1_1(a1765) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_367,negated_conjecture,
( ~ hskp6
| ~ c0_1(a1762) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_368,negated_conjecture,
( ~ hskp5
| ~ c0_1(a1760) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_369,negated_conjecture,
( ~ hskp5
| ~ c2_1(a1760) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_370,negated_conjecture,
( ~ hskp5
| ~ c3_1(a1760) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_371,negated_conjecture,
( ~ hskp4
| ~ c2_1(a1759) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_372,negated_conjecture,
( ~ hskp4
| ~ c3_1(a1759) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_373,negated_conjecture,
( ~ hskp3
| ~ c3_1(a1758) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_375,negated_conjecture,
( ~ hskp1
| ~ c0_1(a1755) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_376,negated_conjecture,
( ~ hskp1
| ~ c2_1(a1755) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_379,negated_conjecture,
! [X0: $i] :
( hskp11
| c3_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_384,negated_conjecture,
! [X0: $i] :
( hskp12
| hskp27
| c0_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_386,negated_conjecture,
! [X0: $i] :
( hskp6
| hskp19
| c0_1(X0)
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_388,negated_conjecture,
! [X0: $i] :
( hskp13
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_392,negated_conjecture,
! [X0: $i] :
( hskp22
| hskp27
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_395,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp19
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_396,negated_conjecture,
! [X0: $i] :
( hskp29
| hskp30
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_399,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp29
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_401,negated_conjecture,
! [X0: $i] :
( hskp16
| hskp22
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_408,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c0_1(X1)
| c0_1(X0)
| c3_1(X0)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_409,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c0_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_410,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c0_1(X0)
| c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_413,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c0_1(X0)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_414,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c0_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_416,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c0_1(X0)
| c3_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_423,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp22
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_425,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_426,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c0_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_427,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp21
| c0_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_430,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp24
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_434,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_436,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_439,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c3_1(X2)
| c2_1(X2)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_440,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c0_1(X0)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_441,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c3_1(X1)
| c1_1(X2)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_444,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c2_1(X0)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_445,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_446,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_447,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_448,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_475,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_279,c_284,c_279,c_268,c_253]) ).
tcf(c_537,negated_conjecture,
! [X0: $i] :
( hskp11
| c3_1(X0)
| c2_1(X0)
| c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_379,c_284,c_279,c_268,c_253,c_379]) ).
tcf(c_552,plain,
! [X0: $i] :
( hskp13
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_388,c_284,c_279,c_268,c_253,c_388]) ).
tcf(c_553,negated_conjecture,
! [X0: $i] :
( hskp13
| c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_552]) ).
tcf(c_558,negated_conjecture,
! [X0: $i] :
( hskp6
| hskp19
| c0_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_386,c_284,c_279,c_268,c_253,c_386]) ).
tcf(c_564,negated_conjecture,
! [X0: $i] :
( hskp12
| hskp27
| c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_384,c_284,c_279,c_268,c_253,c_384]) ).
tcf(c_576,plain,
! [X0: $i] :
( hskp29
| hskp30
| c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_396,c_284,c_279,c_268,c_253,c_396]) ).
tcf(c_577,negated_conjecture,
! [X0: $i] :
( hskp29
| hskp30
| c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_576]) ).
tcf(c_579,plain,
! [X0: $i] :
( hskp13
| hskp19
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_395,c_284,c_279,c_268,c_253,c_395]) ).
tcf(c_580,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp19
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_579]) ).
tcf(c_588,plain,
! [X0: $i] :
( hskp22
| hskp27
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_392,c_284,c_279,c_268,c_253,c_392]) ).
tcf(c_589,negated_conjecture,
! [X0: $i] :
( hskp22
| hskp27
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_588]) ).
tcf(c_597,plain,
! [X0: $i] :
( hskp16
| hskp22
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_401,c_284,c_279,c_268,c_253,c_401]) ).
tcf(c_598,negated_conjecture,
! [X0: $i] :
( hskp16
| hskp22
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_597]) ).
tcf(c_603,plain,
! [X0: $i] :
( hskp4
| hskp29
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_399,c_284,c_279,c_268,c_253,c_399]) ).
tcf(c_604,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp29
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_603]) ).
tcf(c_619,plain,
! [X0: $i,X1: $i] :
( hskp10
| c0_1(X0)
| c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_410,c_284,c_279,c_268,c_253,c_410]) ).
tcf(c_620,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c0_1(X0)
| c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_619]) ).
tcf(c_621,plain,
! [X0: $i,X1: $i] :
( hskp27
| c0_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_409,c_284,c_279,c_268,c_253,c_409]) ).
tcf(c_622,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c0_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_621]) ).
tcf(c_623,plain,
! [X0: $i,X1: $i] :
( hskp13
| c0_1(X1)
| c0_1(X0)
| c3_1(X0)
| c2_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_408,c_284,c_279,c_268,c_253,c_408]) ).
tcf(c_624,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c0_1(X1)
| c0_1(X0)
| c3_1(X0)
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_623]) ).
tcf(c_629,plain,
! [X0: $i,X1: $i] :
( hskp22
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_423,c_284,c_279,c_268,c_253,c_423]) ).
tcf(c_630,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp22
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_629]) ).
tcf(c_644,plain,
! [X0: $i,X1: $i] :
( hskp17
| c0_1(X0)
| c3_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_416,c_284,c_279,c_268,c_253,c_416]) ).
tcf(c_645,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c0_1(X0)
| c3_1(X0)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_644]) ).
tcf(c_648,plain,
! [X0: $i,X1: $i] :
( hskp10
| c0_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_414,c_284,c_279,c_268,c_253,c_414]) ).
tcf(c_649,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c0_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_648]) ).
tcf(c_650,plain,
! [X0: $i,X1: $i] :
( hskp11
| c0_1(X0)
| c2_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_413,c_284,c_279,c_268,c_253,c_413]) ).
tcf(c_651,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c0_1(X0)
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_650]) ).
tcf(c_656,plain,
! [X0: $i,X1: $i] :
( hskp24
| c3_1(X1)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_430,c_284,c_279,c_268,c_253,c_430]) ).
tcf(c_657,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp24
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_656]) ).
tcf(c_662,plain,
! [X0: $i,X1: $i] :
( hskp21
| c0_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_427,c_284,c_279,c_268,c_253,c_427]) ).
tcf(c_663,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp21
| c0_1(X0)
| c1_1(X1)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_662]) ).
tcf(c_664,plain,
! [X0: $i,X1: $i] :
( hskp3
| c0_1(X1)
| c2_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_426,c_284,c_279,c_268,c_253,c_426]) ).
tcf(c_665,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c0_1(X1)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_664]) ).
tcf(c_666,plain,
! [X0: $i,X1: $i] :
( hskp8
| c0_1(X1)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_425,c_284,c_279,c_268,c_253,c_425]) ).
tcf(c_667,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_666]) ).
tcf(c_672,plain,
! [X0: $i,X1: $i] :
( hskp5
| c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_436,c_284,c_279,c_268,c_253,c_436]) ).
tcf(c_673,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_672]) ).
tcf(c_676,plain,
! [X0: $i,X1: $i] :
( hskp17
| c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_434,c_284,c_279,c_268,c_253,c_434]) ).
tcf(c_677,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_676]) ).
tcf(c_683,plain,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c3_1(X2)
| c2_1(X2)
| c2_1(X1)
| c1_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_439,c_284,c_279,c_268,c_253,c_439]) ).
tcf(c_684,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c3_1(X2)
| c2_1(X2)
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_683]) ).
tcf(c_687,plain,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c3_1(X1)
| c1_1(X2)
| c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2)
| ~ c0_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_441,c_284,c_279,c_268,c_253,c_441]) ).
tcf(c_688,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c3_1(X1)
| c1_1(X2)
| c1_1(X0)
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_687]) ).
tcf(c_689,plain,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c0_1(X0)
| c1_1(X2)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_440,c_284,c_279,c_268,c_253,c_440]) ).
tcf(c_690,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c0_1(X0)
| c1_1(X2)
| c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_689]) ).
tcf(c_691,plain,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c2_1(X2)
| c1_1(X2)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_445,c_284,c_279,c_268,c_253,c_445]) ).
tcf(c_692,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c2_1(X2)
| c1_1(X2)
| ~ c0_1(X2)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_691]) ).
tcf(c_693,plain,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c2_1(X0)
| c1_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_444,c_284,c_279,c_268,c_253,c_444]) ).
tcf(c_694,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c2_1(X0)
| c1_1(X2)
| ~ c0_1(X2)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_693]) ).
tcf(c_697,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c1_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_447,c_284,c_279,c_268,c_253,c_447]) ).
tcf(c_698,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c1_1(X2)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_697]) ).
tcf(c_699,plain,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c1_1(X2)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_446,c_284,c_279,c_268,c_253,c_446]) ).
tcf(c_700,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c1_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_699]) ).
tcf(c_701,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_448,c_448,c_475]) ).
tcf(c_702,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_701]) ).
tcf(c_3487,plain,
( hskp4
| hskp28
| ~ c2_1(a1755) ),
inference(resolution,[status(thm)],[c_280,c_376]) ).
tcf(c_3497,plain,
( hskp4
| hskp28
| ~ c0_1(a1755) ),
inference(resolution,[status(thm)],[c_280,c_375]) ).
tcf(c_3507,plain,
( hskp4
| hskp28
| c1_1(a1755) ),
inference(resolution,[status(thm)],[c_280,c_331]) ).
tcf(c_7224,plain,
( hskp1
| hskp28
| ~ c2_1(a1759) ),
inference(resolution,[status(thm)],[c_280,c_371]) ).
tcf(c_7234,plain,
( hskp1
| hskp28
| c1_1(a1759) ),
inference(resolution,[status(thm)],[c_280,c_326]) ).
tcf(c_7556,plain,
( hskp10
| hskp22
| ~ c3_1(a1779) ),
inference(resolution,[status(thm)],[c_285,c_354]) ).
tcf(c_7566,plain,
( hskp10
| hskp22
| ~ c2_1(a1779) ),
inference(resolution,[status(thm)],[c_285,c_353]) ).
tcf(c_7576,plain,
( hskp10
| hskp22
| c0_1(a1779) ),
inference(resolution,[status(thm)],[c_285,c_311]) ).
tcf(c_16680,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_702]) ).
tcf(c_16681,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ~ c1_1(X0)
| c3_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_702]) ).
tcf(c_16682,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_702]) ).
tcf(c_16684,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_700]) ).
tcf(c_16685,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| c1_1(X0)
| ~ c3_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_700]) ).
tcf(c_16686,negated_conjecture,
( iPr_def_14
| iPr_def_13
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_700]) ).
tcf(c_16687,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_698]) ).
tcf(c_16688,negated_conjecture,
( iPr_def_15
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_698]) ).
tcf(c_16690,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| ~ c1_1(X0)
| ~ c3_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_694]) ).
tcf(c_16691,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| ~ c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_694]) ).
tcf(c_16692,negated_conjecture,
( iPr_def_17
| iPr_def_16
| iPr_def_15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_694]) ).
tcf(c_16693,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_692]) ).
tcf(c_16694,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| ~ c2_1(X0)
| ~ c3_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_692]) ).
tcf(c_16696,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| ~ c1_1(X0)
| ~ c2_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_690]) ).
tcf(c_16697,negated_conjecture,
( iPr_def_20
| iPr_def_15
| iPr_def_14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_690]) ).
tcf(c_16698,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_688]) ).
tcf(c_16704,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| c2_1(X0)
| c3_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_684]) ).
tcf(c_16705,negated_conjecture,
( iPr_def_25
| iPr_def_18
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_684]) ).
tcf(c_16709,negated_conjecture,
( iPr_def_16
| iPr_def_12
| hskp17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_677]) ).
tcf(c_16711,negated_conjecture,
( iPr_def_21
| iPr_def_10
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_673]) ).
tcf(c_16715,negated_conjecture,
( iPr_def_14
| iPr_def_12
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_667]) ).
tcf(c_16716,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| c2_1(X0)
| ~ c3_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_665]) ).
tcf(c_16717,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_665]) ).
tcf(c_16718,negated_conjecture,
( iPr_def_29
| iPr_def_28
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_665]) ).
tcf(c_16719,negated_conjecture,
( iPr_def_20
| iPr_def_15
| hskp21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_663]) ).
tcf(c_16722,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_30
| c1_1(X0)
| c3_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_657]) ).
tcf(c_16728,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_33
| ~ c1_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_651]) ).
tcf(c_16729,negated_conjecture,
( iPr_def_33
| iPr_def_21
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_651]) ).
tcf(c_16730,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_34
| c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_649]) ).
tcf(c_16731,negated_conjecture,
( iPr_def_34
| iPr_def_28
| hskp10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_649]) ).
tcf(c_16734,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_36
| ~ c1_1(X0)
| c3_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_645]) ).
tcf(c_16742,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_37
| ~ c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_630]) ).
tcf(c_16747,negated_conjecture,
( iPr_def_36
| iPr_def_28
| hskp13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_624]) ).
tcf(c_16748,negated_conjecture,
( iPr_def_28
| iPr_def_18
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_622]) ).
tcf(c_16749,negated_conjecture,
( iPr_def_30
| iPr_def_28
| hskp10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_620]) ).
tcf(c_16757,negated_conjecture,
( iPr_def_10
| hskp4
| hskp29 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_604]) ).
tcf(c_16759,negated_conjecture,
( iPr_def_12
| hskp16
| hskp22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_598]) ).
tcf(c_16762,negated_conjecture,
( iPr_def_19
| hskp22
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_589]) ).
tcf(c_16765,negated_conjecture,
( iPr_def_17
| hskp13
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_580]) ).
tcf(c_16766,negated_conjecture,
( iPr_def_37
| hskp29
| hskp30 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_577]) ).
tcf(c_16770,negated_conjecture,
( iPr_def_33
| hskp12
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_564]) ).
tcf(c_16772,negated_conjecture,
( iPr_def_36
| hskp6
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_558]) ).
tcf(c_16816,plain,
( ~ iPr_def_12
| ~ c3_1(a1756)
| ~ c2_1(a1756)
| ~ c1_1(a1756) ),
inference(instantiation,[status(thm)],[c_16682]) ).
tcf(c_16818,plain,
( ~ iPr_def_12
| ~ c3_1(a1771)
| ~ c2_1(a1771)
| ~ c1_1(a1771) ),
inference(instantiation,[status(thm)],[c_16682]) ).
tcf(c_16822,plain,
( ~ iPr_def_13
| ~ c0_1(a1805)
| ~ c3_1(a1805)
| ~ c2_1(a1805) ),
inference(instantiation,[status(thm)],[c_16684]) ).
tcf(c_16823,plain,
( ~ iPr_def_13
| ~ c0_1(a1756)
| ~ c3_1(a1756)
| ~ c2_1(a1756) ),
inference(instantiation,[status(thm)],[c_16684]) ).
tcf(c_16830,plain,
( c0_1(a1799)
| c1_1(a1799)
| ~ iPr_def_14
| ~ c3_1(a1799) ),
inference(instantiation,[status(thm)],[c_16685]) ).
tcf(c_16831,plain,
( c0_1(a1781)
| c1_1(a1781)
| ~ iPr_def_14
| ~ c3_1(a1781) ),
inference(instantiation,[status(thm)],[c_16685]) ).
tcf(c_16834,plain,
( c0_1(a1767)
| c1_1(a1767)
| ~ iPr_def_14
| ~ c3_1(a1767) ),
inference(instantiation,[status(thm)],[c_16685]) ).
tcf(c_16835,plain,
( c0_1(a1762)
| c1_1(a1762)
| ~ iPr_def_14
| ~ c3_1(a1762) ),
inference(instantiation,[status(thm)],[c_16685]) ).
tcf(c_16836,plain,
( c2_1(a1756)
| ~ iPr_def_17
| ~ c0_1(a1756)
| ~ c1_1(a1756) ),
inference(instantiation,[status(thm)],[c_16691]) ).
tcf(c_16837,plain,
( c2_1(a1780)
| ~ iPr_def_17
| ~ c0_1(a1780)
| ~ c1_1(a1780) ),
inference(instantiation,[status(thm)],[c_16691]) ).
tcf(c_16848,plain,
( c0_1(a1767)
| ~ iPr_def_19
| ~ c3_1(a1767)
| ~ c2_1(a1767) ),
inference(instantiation,[status(thm)],[c_16694]) ).
tcf(c_16849,plain,
( c0_1(a1762)
| ~ iPr_def_19
| ~ c3_1(a1762)
| ~ c2_1(a1762) ),
inference(instantiation,[status(thm)],[c_16694]) ).
tcf(c_16850,plain,
( c1_1(a1805)
| ~ iPr_def_21
| ~ c0_1(a1805)
| ~ c3_1(a1805) ),
inference(instantiation,[status(thm)],[c_16698]) ).
tcf(c_16854,plain,
( c1_1(a1768)
| ~ iPr_def_21
| ~ c0_1(a1768)
| ~ c3_1(a1768) ),
inference(instantiation,[status(thm)],[c_16698]) ).
tcf(c_16866,plain,
( c3_1(a1771)
| ~ iPr_def_37
| ~ c2_1(a1771)
| ~ c1_1(a1771) ),
inference(instantiation,[status(thm)],[c_16742]) ).
tcf(c_16867,plain,
( c3_1(a1758)
| ~ iPr_def_37
| ~ c2_1(a1758)
| ~ c1_1(a1758) ),
inference(instantiation,[status(thm)],[c_16742]) ).
tcf(c_16883,plain,
( c0_1(a1771)
| c3_1(a1771)
| ~ iPr_def_36
| ~ c1_1(a1771) ),
inference(instantiation,[status(thm)],[c_16734]) ).
tcf(c_16886,plain,
( c0_1(a1755)
| c3_1(a1755)
| ~ iPr_def_36
| ~ c1_1(a1755) ),
inference(instantiation,[status(thm)],[c_16734]) ).
tcf(c_16887,plain,
( c1_1(a1765)
| ~ iPr_def_15
| ~ c0_1(a1765)
| ~ c2_1(a1765) ),
inference(instantiation,[status(thm)],[c_16687]) ).
tcf(c_16916,plain,
( c2_1(a1768)
| ~ iPr_def_17
| ~ c0_1(a1768)
| ~ c1_1(a1768) ),
inference(instantiation,[status(thm)],[c_16691]) ).
tcf(c_16932,plain,
( c0_1(a1799)
| c2_1(a1799)
| ~ iPr_def_28
| ~ c3_1(a1799) ),
inference(instantiation,[status(thm)],[c_16716]) ).
tcf(c_16933,plain,
( c0_1(a1780)
| c2_1(a1780)
| ~ iPr_def_28
| ~ c3_1(a1780) ),
inference(instantiation,[status(thm)],[c_16716]) ).
tcf(c_16940,plain,
( ~ iPr_def_12
| ~ c3_1(a1783)
| ~ c2_1(a1783)
| ~ c1_1(a1783) ),
inference(instantiation,[status(thm)],[c_16682]) ).
tcf(c_16942,plain,
( c0_1(a1783)
| c2_1(a1783)
| ~ iPr_def_28
| ~ c3_1(a1783) ),
inference(instantiation,[status(thm)],[c_16716]) ).
tcf(c_16949,plain,
( hskp13
| c0_1(a1783)
| ~ c2_1(a1783)
| ~ c1_1(a1783) ),
inference(instantiation,[status(thm)],[c_553]) ).
tcf(c_16958,plain,
( c0_1(a1759)
| c3_1(a1759)
| ~ iPr_def_36
| ~ c1_1(a1759) ),
inference(instantiation,[status(thm)],[c_16734]) ).
tcf(c_16960,plain,
( c2_1(a1759)
| ~ iPr_def_17
| ~ c0_1(a1759)
| ~ c1_1(a1759) ),
inference(instantiation,[status(thm)],[c_16691]) ).
tcf(c_16964,plain,
( c3_1(a1788)
| ~ iPr_def_11
| ~ c0_1(a1788)
| ~ c1_1(a1788) ),
inference(instantiation,[status(thm)],[c_16681]) ).
tcf(c_16982,plain,
( ~ iPr_def_12
| ~ c3_1(a1805)
| ~ c2_1(a1805)
| ~ c1_1(a1805) ),
inference(instantiation,[status(thm)],[c_16682]) ).
tcf(c_17008,plain,
( ~ iPr_def_12
| ~ c3_1(a1762)
| ~ c2_1(a1762)
| ~ c1_1(a1762) ),
inference(instantiation,[status(thm)],[c_16682]) ).
tcf(c_17019,plain,
( ~ iPr_def_10
| ~ c0_1(a1788)
| ~ c2_1(a1788)
| ~ c1_1(a1788) ),
inference(instantiation,[status(thm)],[c_16680]) ).
tcf(c_17042,plain,
( c0_1(a1767)
| c2_1(a1767)
| ~ iPr_def_28
| ~ c3_1(a1767) ),
inference(instantiation,[status(thm)],[c_16716]) ).
tcf(c_17065,plain,
( ~ iPr_def_29
| ~ c0_1(a1756)
| ~ c3_1(a1756)
| ~ c1_1(a1756) ),
inference(instantiation,[status(thm)],[c_16717]) ).
tcf(c_17075,plain,
( c0_1(a1783)
| c2_1(a1783)
| ~ iPr_def_33
| ~ c1_1(a1783) ),
inference(instantiation,[status(thm)],[c_16728]) ).
tcf(c_17080,plain,
( c0_1(a1755)
| c2_1(a1755)
| ~ iPr_def_33
| ~ c1_1(a1755) ),
inference(instantiation,[status(thm)],[c_16728]) ).
tcf(c_17082,plain,
( c0_1(a1799)
| c2_1(a1799)
| ~ iPr_def_33
| ~ c1_1(a1799) ),
inference(instantiation,[status(thm)],[c_16728]) ).
tcf(c_17103,plain,
( c2_1(a1779)
| c1_1(a1779)
| ~ iPr_def_18
| ~ c0_1(a1779) ),
inference(instantiation,[status(thm)],[c_16693]) ).
tcf(c_17104,plain,
( c2_1(a1768)
| c1_1(a1768)
| ~ iPr_def_18
| ~ c0_1(a1768) ),
inference(instantiation,[status(thm)],[c_16693]) ).
tcf(c_17192,plain,
( c0_1(a1783)
| ~ iPr_def_16
| ~ c3_1(a1783)
| ~ c1_1(a1783) ),
inference(instantiation,[status(thm)],[c_16690]) ).
tcf(c_17194,plain,
( c0_1(a1771)
| ~ iPr_def_16
| ~ c3_1(a1771)
| ~ c1_1(a1771) ),
inference(instantiation,[status(thm)],[c_16690]) ).
tcf(c_17200,plain,
( c0_1(a1799)
| ~ iPr_def_16
| ~ c3_1(a1799)
| ~ c1_1(a1799) ),
inference(instantiation,[status(thm)],[c_16690]) ).
tcf(c_17211,plain,
( c2_1(a1779)
| ~ iPr_def_17
| ~ c0_1(a1779)
| ~ c1_1(a1779) ),
inference(instantiation,[status(thm)],[c_16691]) ).
tcf(c_17260,plain,
( hskp11
| c3_1(a1779)
| c2_1(a1779)
| c1_1(a1779) ),
inference(instantiation,[status(thm)],[c_537]) ).
tcf(c_17262,plain,
( hskp11
| c3_1(a1760)
| c2_1(a1760)
| c1_1(a1760) ),
inference(instantiation,[status(thm)],[c_537]) ).
tcf(c_17323,plain,
( c1_1(a1805)
| ~ iPr_def_15
| ~ c0_1(a1805)
| ~ c2_1(a1805) ),
inference(instantiation,[status(thm)],[c_16687]) ).
tcf(c_17326,plain,
( c1_1(a1781)
| ~ iPr_def_15
| ~ c0_1(a1781)
| ~ c2_1(a1781) ),
inference(instantiation,[status(thm)],[c_16687]) ).
tcf(c_17361,plain,
( c1_1(a1781)
| ~ iPr_def_21
| ~ c0_1(a1781)
| ~ c3_1(a1781) ),
inference(instantiation,[status(thm)],[c_16698]) ).
tcf(c_17400,plain,
( c0_1(a1770)
| c3_1(a1770)
| ~ iPr_def_36
| ~ c1_1(a1770) ),
inference(instantiation,[status(thm)],[c_16734]) ).
tcf(c_17402,plain,
( c0_1(a1760)
| c3_1(a1760)
| ~ iPr_def_36
| ~ c1_1(a1760) ),
inference(instantiation,[status(thm)],[c_16734]) ).
tcf(c_17415,plain,
( c0_1(a1760)
| c3_1(a1760)
| c2_1(a1760)
| ~ iPr_def_25 ),
inference(instantiation,[status(thm)],[c_16704]) ).
tcf(c_17428,plain,
( c3_1(a1788)
| c1_1(a1788)
| ~ iPr_def_30
| ~ c0_1(a1788) ),
inference(instantiation,[status(thm)],[c_16722]) ).
tcf(c_17432,plain,
( ~ iPr_def_12
| ~ c3_1(a1823)
| ~ c2_1(a1823)
| ~ c1_1(a1823) ),
inference(instantiation,[status(thm)],[c_16682]) ).
tcf(c_17521,plain,
( c0_1(a1755)
| c2_1(a1755)
| ~ iPr_def_28
| ~ c3_1(a1755) ),
inference(instantiation,[status(thm)],[c_16716]) ).
tcf(c_17556,plain,
( c2_1(a1768)
| ~ iPr_def_34
| ~ c0_1(a1768)
| ~ c3_1(a1768) ),
inference(instantiation,[status(thm)],[c_16730]) ).
tcf(c_17565,plain,
( c0_1(a1771)
| ~ iPr_def_20
| ~ c2_1(a1771)
| ~ c1_1(a1771) ),
inference(instantiation,[status(thm)],[c_16696]) ).
tcf(c_17589,plain,
( c0_1(a1762)
| ~ iPr_def_16
| ~ c3_1(a1762)
| ~ c1_1(a1762) ),
inference(instantiation,[status(thm)],[c_16690]) ).
tcf(c_17593,plain,
( ~ iPr_def_10
| ~ c0_1(a1795)
| ~ c2_1(a1795)
| ~ c1_1(a1795) ),
inference(instantiation,[status(thm)],[c_16680]) ).
tcf(c_17689,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_17593,c_17589,c_17565,c_17556,c_17521,c_17432,c_17428,c_17415,c_17402,c_17400,c_17361,c_17326,c_17323,c_17262,c_17260,c_17211,c_17200,c_17194,c_17192,c_17104,c_17103,c_17082,c_17080,c_17075,c_17065,c_17042,c_17019,c_17008,c_16982,c_16964,c_16958,c_16960,c_16949,c_16942,c_16940,c_16933,c_16932,c_16916,c_16887,c_16886,c_16883,c_16867,c_16866,c_16854,c_16850,c_16849,c_16848,c_16837,c_16836,c_16835,c_16834,c_16831,c_16830,c_16823,c_16822,c_16818,c_16816,c_16772,c_16770,c_16766,c_16765,c_16762,c_16759,c_16757,c_16749,c_16748,c_16747,c_16731,c_16729,c_16719,c_16718,c_16715,c_16711,c_16709,c_16705,c_16697,c_16692,c_16688,c_16686,c_7576,c_7566,c_7556,c_7234,c_7224,c_3507,c_3497,c_3487,c_343,c_344,c_345,c_347,c_351,c_352,c_357,c_358,c_359,c_360,c_361,c_362,c_365,c_367,c_368,c_369,c_370,c_371,c_372,c_373,c_375,c_376,c_286,c_287,c_288,c_289,c_290,c_291,c_292,c_293,c_294,c_295,c_296,c_297,c_300,c_301,c_302,c_305,c_306,c_307,c_308,c_309,c_310,c_313,c_314,c_315,c_316,c_317,c_318,c_320,c_321,c_324,c_325,c_326,c_327,c_328,c_331,c_280]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN482-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Fri Sep 25 01:28:40 UTC 2026
% 0.14/0.37 % CPUTime :
% 0.14/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.41 Running EPR theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.42
% 0.14/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.42
% 0.14/0.42 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 4.14/1.24 % SZS status Started for theBenchmark.p
% 4.14/1.24 % SZS status Unsatisfiable for theBenchmark.p
% 4.14/1.24
% 4.14/1.24 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.14/1.24
% 4.14/1.24 % ------ iProver source info
% 4.14/1.24
% 4.14/1.24 % git: date: 2026-07-19 20:42:38 +0200
% 4.14/1.24 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.14/1.24 % git: non_committed_changes: false
% 4.14/1.24
% 4.14/1.24 % ------ Parsing...% successful
% 4.14/1.24
% 4.14/1.24
% 4.14/1.24 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.14/1.24 %
% 4.14/1.24
% 4.14/1.24 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.14/1.24
% 4.14/1.24 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.14/1.24 gs_s sp: 126 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.14/1.24 % ------ Proving...
% 4.14/1.24 % ------ Problem Properties
% 4.14/1.24
% 4.14/1.24 %
% 4.14/1.24 % clauses 200
% 4.14/1.24 % conjectures 200
% 4.14/1.24 % EPR 200
% 4.14/1.24 % Horn 109
% 4.14/1.24 % unary 0
% 4.14/1.24 % binary 93
% 4.14/1.24 % lits 540
% 4.14/1.24 % lits eq 0
% 4.14/1.24 % fd_pure 0
% 4.14/1.24 % fd_pseudo 0
% 4.14/1.24 % fd_cond 0
% 4.14/1.24 % fd_pseudo_cond 0
% 4.14/1.24 % AC symbols 0
% 4.14/1.24
% 4.14/1.24 % ------ Schedule EPR non Horn non eq is on
% 4.14/1.24
% 4.14/1.24 % ------ no equalities: superposition off
% 4.14/1.24
% 4.14/1.24 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.14/1.24
% 4.14/1.24
% 4.14/1.24 % ------
% 4.14/1.24 % Current options:
% 4.14/1.24 % ------
% 4.14/1.24
% 4.14/1.24
% 4.14/1.24 %
% 4.14/1.24
% 4.14/1.24 % ------ Proving...
% 4.14/1.24 %
% 4.14/1.24
% 4.14/1.24 % SZS status Unsatisfiable for theBenchmark.p
% 4.14/1.24
% 4.14/1.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.14/1.25
% 4.14/1.25
%------------------------------------------------------------------------------