%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN505-1 : 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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:40:36 PM UTC 2026
% Result : Unsatisfiable 4.42s 1.27s
% Output : CNFRefutation 4.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 106
% Syntax : Number of formulae : 402 ( 2 unt; 0 def)
% Number of atoms : 1710 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2217 ( 909 ~;1308 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 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 : 55 ( 54 usr; 51 prp; 0-1 aty)
% Number of functors : 22 ( 22 usr; 22 con; 0-0 aty)
% Number of variables : 279 ( 0 sgn 279 !; 0 ?; 215 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
( ndr1_0
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f22,negated_conjecture,
( ndr1_0
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
fof(f32,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f34,negated_conjecture,
( hskp3
| hskp12
| hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f35,negated_conjecture,
( hskp10
| hskp19
| hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f38,negated_conjecture,
( hskp10
| hskp30
| hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f39,negated_conjecture,
( hskp25
| hskp14
| hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f40,negated_conjecture,
( hskp9
| hskp12
| hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f44,negated_conjecture,
( c0_1(a529)
| ~ hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( c1_1(a529)
| ~ hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( c3_1(a529)
| ~ hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( c1_1(a488)
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( c2_1(a488)
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( c3_1(a488)
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( c0_1(a474)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( c1_1(a474)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( c2_1(a474)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f58,negated_conjecture,
( c1_1(a545)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( c3_1(a545)
| ~ hskp25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f66,negated_conjecture,
( c1_1(a500)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( c0_1(a494)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( c2_1(a493)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( c3_1(a493)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( c0_1(a487)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f73,negated_conjecture,
( c1_1(a483)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( c2_1(a483)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( c3_1(a482)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( c1_1(a481)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( c0_1(a479)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( c3_1(a479)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( c2_1(a478)
| ~ hskp10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( c2_1(a477)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( c3_1(a477)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
fof(f84,negated_conjecture,
( c0_1(a471)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( c3_1(a471)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( c0_1(a467)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f87,negated_conjecture,
( c3_1(a465)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( c3_1(a464)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f89,negated_conjecture,
( c2_1(a463)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f90,negated_conjecture,
( c0_1(a462)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
fof(f91,negated_conjecture,
( c2_1(a462)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
fof(f96,negated_conjecture,
( ~ hskp25
| ~ c0_1(a545) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f106,negated_conjecture,
( ~ hskp19
| ~ c2_1(a500) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ hskp19
| ~ c3_1(a500) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ hskp18
| ~ c2_1(a494) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ hskp18
| ~ c3_1(a494) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ hskp17
| ~ c0_1(a493) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ hskp16
| ~ c1_1(a487) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f112,negated_conjecture,
( ~ hskp16
| ~ c2_1(a487) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
fof(f114,negated_conjecture,
( ~ hskp14
| ~ c0_1(a483) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ hskp13
| ~ c1_1(a482) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ hskp13
| ~ c2_1(a482) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ hskp12
| ~ c0_1(a481) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ hskp12
| ~ c3_1(a481) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ hskp11
| ~ c1_1(a479) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ hskp10
| ~ c0_1(a478) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ hskp10
| ~ c3_1(a478) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ hskp9
| ~ c1_1(a477) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
fof(f124,negated_conjecture,
( ~ hskp7
| ~ c2_1(a471) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ hskp6
| ~ c0_1(a470) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ hskp6
| ~ c1_1(a470) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ hskp6
| ~ c2_1(a470) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ hskp5
| ~ c1_1(a467) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f129,negated_conjecture,
( ~ hskp5
| ~ c3_1(a467) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f130,negated_conjecture,
( ~ hskp4
| ~ c0_1(a466) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f131,negated_conjecture,
( ~ hskp4
| ~ c1_1(a466) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f132,negated_conjecture,
( ~ hskp4
| ~ c3_1(a466) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
fof(f133,negated_conjecture,
( ~ hskp3
| ~ c0_1(a465) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f134,negated_conjecture,
( ~ hskp3
| ~ c1_1(a465) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
fof(f135,negated_conjecture,
( ~ hskp2
| ~ c0_1(a464) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
fof(f136,negated_conjecture,
( ~ hskp2
| ~ c2_1(a464) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
fof(f137,negated_conjecture,
( ~ hskp1
| ~ c1_1(a463) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
fof(f138,negated_conjecture,
( ~ hskp1
| ~ c3_1(a463) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f139,negated_conjecture,
( ~ hskp0
| ~ c1_1(a462) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).
fof(f144,negated_conjecture,
! [X0] :
( hskp12
| hskp5
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
fof(f146,negated_conjecture,
! [X0] :
( hskp16
| hskp7
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
fof(f147,negated_conjecture,
! [X0] :
( hskp19
| hskp18
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
fof(f149,negated_conjecture,
! [X0] :
( hskp1
| hskp18
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
fof(f155,negated_conjecture,
! [X0] :
( hskp1
| hskp30
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).
fof(f157,negated_conjecture,
! [X0] :
( hskp6
| hskp18
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f159,negated_conjecture,
! [X0] :
( hskp17
| hskp5
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
fof(f161,negated_conjecture,
! [X0] :
( hskp12
| hskp30
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f163,negated_conjecture,
! [X0] :
( hskp4
| hskp18
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
fof(f177,negated_conjecture,
! [X0,X1] :
( hskp29
| 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',clause177) ).
fof(f179,negated_conjecture,
! [X0,X1] :
( c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f180,negated_conjecture,
! [X0,X1] :
( hskp2
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
fof(f181,negated_conjecture,
! [X0,X1] :
( hskp0
| c3_1(X1)
| c2_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
fof(f183,negated_conjecture,
! [X0,X1] :
( hskp10
| c2_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
fof(f184,negated_conjecture,
! [X0,X1] :
( hskp13
| c3_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
fof(f185,negated_conjecture,
! [X0,X1] :
( hskp14
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
fof(f186,negated_conjecture,
! [X0,X1] :
( hskp5
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
fof(f187,negated_conjecture,
! [X0,X1] :
( c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).
fof(f189,negated_conjecture,
! [X0,X1] :
( hskp11
| c2_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',clause189) ).
fof(f190,negated_conjecture,
! [X0,X1] :
( hskp2
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause190) ).
fof(f191,negated_conjecture,
! [X0,X1] :
( hskp12
| c1_1(X1)
| c2_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause191) ).
fof(f194,negated_conjecture,
! [X0,X1] :
( hskp16
| 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',clause194) ).
fof(f195,negated_conjecture,
! [X0,X1] :
( hskp18
| 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',clause195) ).
fof(f199,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| c0_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause199) ).
fof(f201,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause201) ).
fof(f202,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause202) ).
fof(f203,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause203) ).
fof(f204,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ c1_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause204) ).
fof(f205,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause205) ).
fof(f206,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause206) ).
fof(f207,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause207) ).
fof(f208,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| ~ c1_1(X2)
| ~ c0_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',clause208) ).
tcf(c_258,negated_conjecture,
( ndr1_0
| ~ hskp30 ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_278,negated_conjecture,
( ndr1_0
| ~ hskp10 ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_288,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_290,negated_conjecture,
( hskp3
| hskp12
| hskp29 ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_291,negated_conjecture,
( hskp10
| hskp19
| hskp31 ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_294,negated_conjecture,
( hskp0
| hskp10
| hskp30 ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_295,negated_conjecture,
( hskp0
| hskp14
| hskp25 ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_296,negated_conjecture,
( hskp9
| hskp11
| hskp12 ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_300,negated_conjecture,
( c0_1(a529)
| ~ hskp31 ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_301,negated_conjecture,
( c1_1(a529)
| ~ hskp31 ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_302,negated_conjecture,
( c3_1(a529)
| ~ hskp31 ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_303,negated_conjecture,
( c1_1(a488)
| ~ hskp30 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_304,negated_conjecture,
( c2_1(a488)
| ~ hskp30 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_305,negated_conjecture,
( c3_1(a488)
| ~ hskp30 ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_306,negated_conjecture,
( c0_1(a474)
| ~ hskp29 ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_307,negated_conjecture,
( c1_1(a474)
| ~ hskp29 ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_308,negated_conjecture,
( c2_1(a474)
| ~ hskp29 ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_314,negated_conjecture,
( c1_1(a545)
| ~ hskp25 ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_315,negated_conjecture,
( c3_1(a545)
| ~ hskp25 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_322,negated_conjecture,
( c1_1(a500)
| ~ hskp19 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_323,negated_conjecture,
( c0_1(a494)
| ~ hskp18 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_324,negated_conjecture,
( c2_1(a493)
| ~ hskp17 ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_325,negated_conjecture,
( c3_1(a493)
| ~ hskp17 ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_326,negated_conjecture,
( c0_1(a487)
| ~ hskp16 ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_329,negated_conjecture,
( c1_1(a483)
| ~ hskp14 ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_330,negated_conjecture,
( c2_1(a483)
| ~ hskp14 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_331,negated_conjecture,
( c3_1(a482)
| ~ hskp13 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_332,negated_conjecture,
( c1_1(a481)
| ~ hskp12 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_333,negated_conjecture,
( c0_1(a479)
| ~ hskp11 ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_334,negated_conjecture,
( c3_1(a479)
| ~ hskp11 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_335,negated_conjecture,
( c2_1(a478)
| ~ hskp10 ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_336,negated_conjecture,
( c2_1(a477)
| ~ hskp9 ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_337,negated_conjecture,
( c3_1(a477)
| ~ hskp9 ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_340,negated_conjecture,
( c0_1(a471)
| ~ hskp7 ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_341,negated_conjecture,
( c3_1(a471)
| ~ hskp7 ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_342,negated_conjecture,
( c0_1(a467)
| ~ hskp5 ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_343,negated_conjecture,
( c3_1(a465)
| ~ hskp3 ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_344,negated_conjecture,
( c3_1(a464)
| ~ hskp2 ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_345,negated_conjecture,
( c2_1(a463)
| ~ hskp1 ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_346,negated_conjecture,
( c0_1(a462)
| ~ hskp0 ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_347,negated_conjecture,
( c2_1(a462)
| ~ hskp0 ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_352,negated_conjecture,
( ~ hskp25
| ~ c0_1(a545) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_362,negated_conjecture,
( ~ hskp19
| ~ c2_1(a500) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_363,negated_conjecture,
( ~ hskp19
| ~ c3_1(a500) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_364,negated_conjecture,
( ~ hskp18
| ~ c2_1(a494) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_365,negated_conjecture,
( ~ hskp18
| ~ c3_1(a494) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_366,negated_conjecture,
( ~ hskp17
| ~ c0_1(a493) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_367,negated_conjecture,
( ~ hskp16
| ~ c1_1(a487) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_368,negated_conjecture,
( ~ hskp16
| ~ c2_1(a487) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_370,negated_conjecture,
( ~ hskp14
| ~ c0_1(a483) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_371,negated_conjecture,
( ~ hskp13
| ~ c1_1(a482) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_372,negated_conjecture,
( ~ hskp13
| ~ c2_1(a482) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_373,negated_conjecture,
( ~ hskp12
| ~ c0_1(a481) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_374,negated_conjecture,
( ~ hskp12
| ~ c3_1(a481) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_375,negated_conjecture,
( ~ hskp11
| ~ c1_1(a479) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_376,negated_conjecture,
( ~ hskp10
| ~ c0_1(a478) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_377,negated_conjecture,
( ~ hskp10
| ~ c3_1(a478) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_378,negated_conjecture,
( ~ hskp9
| ~ c1_1(a477) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_380,negated_conjecture,
( ~ hskp7
| ~ c2_1(a471) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_381,negated_conjecture,
( ~ hskp6
| ~ c0_1(a470) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_382,negated_conjecture,
( ~ hskp6
| ~ c1_1(a470) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_383,negated_conjecture,
( ~ hskp6
| ~ c2_1(a470) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_384,negated_conjecture,
( ~ hskp5
| ~ c1_1(a467) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_385,negated_conjecture,
( ~ hskp5
| ~ c3_1(a467) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_386,negated_conjecture,
( ~ hskp4
| ~ c0_1(a466) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_387,negated_conjecture,
( ~ hskp4
| ~ c1_1(a466) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_388,negated_conjecture,
( ~ hskp4
| ~ c3_1(a466) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_389,negated_conjecture,
( ~ hskp3
| ~ c0_1(a465) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_390,negated_conjecture,
( ~ hskp3
| ~ c1_1(a465) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_391,negated_conjecture,
( ~ hskp2
| ~ c0_1(a464) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_392,negated_conjecture,
( ~ hskp2
| ~ c2_1(a464) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_393,negated_conjecture,
( ~ hskp1
| ~ c1_1(a463) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_394,negated_conjecture,
( ~ hskp1
| ~ c3_1(a463) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_395,negated_conjecture,
( ~ hskp0
| ~ c1_1(a462) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_400,negated_conjecture,
! [X0: $i] :
( hskp5
| hskp12
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_402,negated_conjecture,
! [X0: $i] :
( hskp7
| hskp16
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_403,negated_conjecture,
! [X0: $i] :
( hskp18
| hskp19
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_405,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp18
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_411,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp30
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_413,negated_conjecture,
! [X0: $i] :
( hskp6
| hskp18
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_415,negated_conjecture,
! [X0: $i] :
( hskp5
| hskp17
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_417,negated_conjecture,
! [X0: $i] :
( hskp12
| hskp30
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_419,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp18
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_433,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp29
| c2_1(X1)
| c2_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_435,negated_conjecture,
! [X0: $i,X1: $i] :
( c2_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_436,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_437,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X1)
| c2_1(X0)
| c3_1(X1)
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_439,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_440,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_441,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_442,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c2_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_443,negated_conjecture,
! [X0: $i,X1: $i] :
( c2_1(X1)
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_445,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_446,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_447,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp12
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_450,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_451,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp18
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_455,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c3_1(X0)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_457,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c2_1(X0)
| c3_1(X0)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_458,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_459,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_460,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_461,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X2)
| c3_1(X0)
| c1_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_462,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_463,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_464,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_503,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_288,c_294,c_288,c_278,c_258]) ).
tcf(c_591,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp18
| c3_1(X0)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_405,c_294,c_288,c_278,c_258,c_405]) ).
tcf(c_597,negated_conjecture,
! [X0: $i] :
( hskp18
| hskp19
| c2_1(X0)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_403,c_294,c_288,c_278,c_258,c_403]) ).
tcf(c_600,negated_conjecture,
! [X0: $i] :
( hskp7
| hskp16
| c3_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_402,c_294,c_288,c_278,c_258,c_402]) ).
tcf(c_606,negated_conjecture,
! [X0: $i] :
( hskp5
| hskp12
| c2_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_400,c_294,c_288,c_278,c_258,c_400]) ).
tcf(c_615,plain,
! [X0: $i] :
( hskp12
| hskp30
| c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_417,c_294,c_288,c_278,c_258,c_417]) ).
tcf(c_616,negated_conjecture,
! [X0: $i] :
( hskp12
| hskp30
| c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_615]) ).
tcf(c_621,plain,
! [X0: $i] :
( hskp5
| hskp17
| c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_415,c_294,c_288,c_278,c_258,c_415]) ).
tcf(c_622,negated_conjecture,
! [X0: $i] :
( hskp5
| hskp17
| c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_621]) ).
tcf(c_627,plain,
! [X0: $i] :
( hskp6
| hskp18
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_413,c_294,c_288,c_278,c_258,c_413]) ).
tcf(c_628,negated_conjecture,
! [X0: $i] :
( hskp6
| hskp18
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_627]) ).
tcf(c_633,plain,
! [X0: $i] :
( hskp1
| hskp30
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_411,c_294,c_288,c_278,c_258,c_411]) ).
tcf(c_634,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp30
| c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_633]) ).
tcf(c_657,plain,
! [X0: $i] :
( hskp4
| hskp18
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_419,c_294,c_288,c_278,c_258,c_419]) ).
tcf(c_658,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp18
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_657]) ).
tcf(c_667,plain,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X1)
| c2_1(X0)
| c3_1(X1)
| c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_437,c_294,c_288,c_278,c_258,c_437]) ).
tcf(c_668,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X1)
| c2_1(X0)
| c3_1(X1)
| c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_667]) ).
tcf(c_670,plain,
! [X0: $i,X1: $i] :
( hskp2
| c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_436,c_294,c_288,c_278,c_258,c_436]) ).
tcf(c_671,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_670]) ).
tcf(c_672,plain,
! [X0: $i,X1: $i] :
( 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_435,c_294,c_288,c_278,c_258,c_435]) ).
tcf(c_673,negated_conjecture,
! [X0: $i,X1: $i] :
( c2_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_672]) ).
tcf(c_676,plain,
! [X0: $i,X1: $i] :
( hskp29
| c2_1(X1)
| c2_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_433,c_294,c_288,c_278,c_258,c_433]) ).
tcf(c_677,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp29
| c2_1(X1)
| c2_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_676]) ).
tcf(c_685,plain,
! [X0: $i,X1: $i] :
( c2_1(X1)
| c3_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_443,c_294,c_288,c_278,c_258,c_443]) ).
tcf(c_686,negated_conjecture,
! [X0: $i,X1: $i] :
( c2_1(X1)
| c3_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_685]) ).
tcf(c_687,plain,
! [X0: $i,X1: $i] :
( hskp5
| c2_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_442,c_294,c_288,c_278,c_258,c_442]) ).
tcf(c_688,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c2_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_687]) ).
tcf(c_689,plain,
! [X0: $i,X1: $i] :
( hskp14
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_441,c_294,c_288,c_278,c_258,c_441]) ).
tcf(c_690,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_689]) ).
tcf(c_691,plain,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_440,c_294,c_288,c_278,c_258,c_440]) ).
tcf(c_692,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_691]) ).
tcf(c_693,plain,
! [X0: $i,X1: $i] :
( hskp10
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_439,c_439,c_503]) ).
tcf(c_694,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp10
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_693]) ).
tcf(c_702,plain,
! [X0: $i,X1: $i] :
( hskp12
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_447,c_294,c_288,c_278,c_258,c_447]) ).
tcf(c_703,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp12
| c2_1(X0)
| c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_702]) ).
tcf(c_704,plain,
! [X0: $i,X1: $i] :
( hskp2
| c3_1(X1)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_446,c_294,c_288,c_278,c_258,c_446]) ).
tcf(c_705,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c3_1(X1)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_704]) ).
tcf(c_706,plain,
! [X0: $i,X1: $i] :
( hskp11
| c2_1(X1)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_445,c_294,c_288,c_278,c_258,c_445]) ).
tcf(c_707,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c2_1(X1)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_706]) ).
tcf(c_714,plain,
! [X0: $i,X1: $i] :
( hskp18
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_451,c_294,c_288,c_278,c_258,c_451]) ).
tcf(c_715,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp18
| c1_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_714]) ).
tcf(c_716,plain,
! [X0: $i,X1: $i] :
( hskp16
| c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_450,c_294,c_288,c_278,c_258,c_450]) ).
tcf(c_717,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp16
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_716]) ).
tcf(c_722,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c3_1(X0)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_455,c_294,c_288,c_278,c_258,c_455]) ).
tcf(c_723,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c3_1(X0)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_722]) ).
tcf(c_727,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c2_1(X0)
| c3_1(X0)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_457,c_294,c_288,c_278,c_258,c_457]) ).
tcf(c_728,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c2_1(X0)
| c3_1(X0)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_727]) ).
tcf(c_729,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_462,c_294,c_288,c_278,c_258,c_462]) ).
tcf(c_730,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X1)
| c1_1(X2)
| c1_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_729]) ).
tcf(c_731,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X2)
| c3_1(X0)
| c1_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_461,c_294,c_288,c_278,c_258,c_461]) ).
tcf(c_732,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X2)
| c3_1(X0)
| c1_1(X2)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_731]) ).
tcf(c_733,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_460,c_294,c_288,c_278,c_258,c_460]) ).
tcf(c_734,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X2)
| c3_1(X1)
| c1_1(X2)
| c0_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_733]) ).
tcf(c_735,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_459,c_294,c_288,c_278,c_258,c_459]) ).
tcf(c_736,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_735]) ).
tcf(c_737,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_458,c_294,c_288,c_278,c_258,c_458]) ).
tcf(c_738,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_737]) ).
tcf(c_739,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X0)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_464,c_294,c_288,c_278,c_258,c_464]) ).
tcf(c_740,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_739]) ).
tcf(c_741,plain,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_463,c_294,c_288,c_278,c_258,c_463]) ).
tcf(c_742,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_741]) ).
tcf(c_3891,plain,
( hskp12
| hskp29
| ~ c1_1(a465) ),
inference(resolution,[status(thm)],[c_290,c_390]) ).
tcf(c_3901,plain,
( hskp12
| hskp29
| ~ c0_1(a465) ),
inference(resolution,[status(thm)],[c_290,c_389]) ).
tcf(c_3911,plain,
( hskp12
| hskp29
| c3_1(a465) ),
inference(resolution,[status(thm)],[c_290,c_343]) ).
tcf(c_4104,plain,
( hskp10
| hskp19
| c3_1(a529) ),
inference(resolution,[status(thm)],[c_291,c_302]) ).
tcf(c_4114,plain,
( hskp10
| hskp19
| c1_1(a529) ),
inference(resolution,[status(thm)],[c_291,c_301]) ).
tcf(c_4124,plain,
( hskp10
| hskp19
| c0_1(a529) ),
inference(resolution,[status(thm)],[c_291,c_300]) ).
tcf(c_6617,plain,
( hskp14
| hskp25
| ~ c1_1(a462) ),
inference(resolution,[status(thm)],[c_295,c_395]) ).
tcf(c_6627,plain,
( hskp14
| hskp25
| c2_1(a462) ),
inference(resolution,[status(thm)],[c_295,c_347]) ).
tcf(c_6637,plain,
( hskp14
| hskp25
| c0_1(a462) ),
inference(resolution,[status(thm)],[c_295,c_346]) ).
tcf(c_7316,plain,
( hskp11
| hskp12
| ~ c1_1(a477) ),
inference(resolution,[status(thm)],[c_296,c_378]) ).
tcf(c_7326,plain,
( hskp11
| hskp12
| c3_1(a477) ),
inference(resolution,[status(thm)],[c_296,c_337]) ).
tcf(c_7336,plain,
( hskp11
| hskp12
| c2_1(a477) ),
inference(resolution,[status(thm)],[c_296,c_336]) ).
tcf(c_18784,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_742]) ).
tcf(c_18785,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_742]) ).
tcf(c_18786,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_742]) ).
tcf(c_18787,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_742]) ).
tcf(c_18788,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_740]) ).
tcf(c_18789,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| ~ c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_740]) ).
tcf(c_18790,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_740]) ).
tcf(c_18791,negated_conjecture,
( iPr_def_15
| iPr_def_14
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_740]) ).
tcf(c_18792,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_738]) ).
tcf(c_18794,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_738]) ).
tcf(c_18796,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_736]) ).
tcf(c_18797,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_736]) ).
tcf(c_18798,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| ~ c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_736]) ).
tcf(c_18799,negated_conjecture,
( iPr_def_21
| iPr_def_20
| iPr_def_19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_736]) ).
tcf(c_18800,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_22
| c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_734]) ).
tcf(c_18801,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_23
| c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_734]) ).
tcf(c_18802,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_734]) ).
tcf(c_18803,negated_conjecture,
( iPr_def_24
| iPr_def_23
| iPr_def_22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_734]) ).
tcf(c_18804,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| c1_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_732]) ).
tcf(c_18806,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_26
| ~ c1_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_730]) ).
tcf(c_18807,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_27
| c1_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_730]) ).
tcf(c_18808,negated_conjecture,
( iPr_def_27
| iPr_def_26
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_730]) ).
tcf(c_18810,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_728]) ).
tcf(c_18813,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_30
| c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_723]) ).
tcf(c_18814,negated_conjecture,
( iPr_def_30
| iPr_def_29
| iPr_def_22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_723]) ).
tcf(c_18816,negated_conjecture,
( iPr_def_16
| iPr_def_13
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_717]) ).
tcf(c_18817,negated_conjecture,
( iPr_def_18
| iPr_def_10
| hskp18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_715]) ).
tcf(c_18822,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_707]) ).
tcf(c_18823,negated_conjecture,
( iPr_def_32
| iPr_def_13
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_707]) ).
tcf(c_18824,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_33
| ~ c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_705]) ).
tcf(c_18825,negated_conjecture,
( iPr_def_33
| iPr_def_12
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_705]) ).
tcf(c_18826,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_34
| ~ c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_703]) ).
tcf(c_18827,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_35
| ~ c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_703]) ).
tcf(c_18828,negated_conjecture,
( iPr_def_35
| iPr_def_34
| hskp12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_703]) ).
tcf(c_18833,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_37
| ~ c1_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_694]) ).
tcf(c_18834,negated_conjecture,
( iPr_def_37
| iPr_def_32
| hskp10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_694]) ).
tcf(c_18835,negated_conjecture,
( iPr_def_34
| iPr_def_22
| hskp13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_692]) ).
tcf(c_18836,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_38
| c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_690]) ).
tcf(c_18837,negated_conjecture,
( iPr_def_38
| iPr_def_16
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_690]) ).
tcf(c_18838,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_39
| ~ c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_688]) ).
tcf(c_18840,negated_conjecture,
( iPr_def_21
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_686]) ).
tcf(c_18845,negated_conjecture,
( iPr_def_39
| iPr_def_32
| hskp29 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_677]) ).
tcf(c_18847,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_41
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_673]) ).
tcf(c_18848,negated_conjecture,
( iPr_def_41
| iPr_def_39 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_673]) ).
tcf(c_18849,negated_conjecture,
( iPr_def_25
| iPr_def_19
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_671]) ).
tcf(c_18850,negated_conjecture,
( iPr_def_26
| iPr_def_21
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_668]) ).
tcf(c_18854,negated_conjecture,
( iPr_def_10
| hskp4
| hskp18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_658]) ).
tcf(c_18862,negated_conjecture,
( iPr_def_41
| hskp1
| hskp30 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_634]) ).
tcf(c_18864,negated_conjecture,
( iPr_def_11
| hskp6
| hskp18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_628]) ).
tcf(c_18866,negated_conjecture,
( iPr_def_35
| hskp5
| hskp17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_622]) ).
tcf(c_18868,negated_conjecture,
( iPr_def_14
| hskp12
| hskp30 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_616]) ).
tcf(c_18871,negated_conjecture,
( iPr_def_32
| hskp5
| hskp12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_606]) ).
tcf(c_18873,negated_conjecture,
( iPr_def_38
| hskp7
| hskp16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_600]) ).
tcf(c_18874,negated_conjecture,
( iPr_def_39
| hskp18
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_597]) ).
tcf(c_18876,negated_conjecture,
( iPr_def_33
| hskp1
| hskp18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_591]) ).
tcf(c_18892,plain,
( c3_1(a462)
| c1_1(a462)
| ~ iPr_def_23
| ~ c2_1(a462) ),
inference(instantiation,[status(thm)],[c_18801]) ).
tcf(c_18904,plain,
( c1_1(a462)
| ~ iPr_def_18
| ~ c3_1(a462)
| ~ c0_1(a462) ),
inference(instantiation,[status(thm)],[c_18794]) ).
tcf(c_18908,plain,
( c1_1(a462)
| ~ iPr_def_34
| ~ c2_1(a462)
| ~ c0_1(a462) ),
inference(instantiation,[status(thm)],[c_18826]) ).
tcf(c_18916,plain,
( ~ iPr_def_15
| ~ c2_1(a462)
| ~ c3_1(a462)
| ~ c0_1(a462) ),
inference(instantiation,[status(thm)],[c_18790]) ).
tcf(c_18918,plain,
( c0_1(a477)
| ~ iPr_def_11
| ~ c2_1(a477)
| ~ c3_1(a477) ),
inference(instantiation,[status(thm)],[c_18785]) ).
tcf(c_18921,plain,
( c0_1(a465)
| ~ iPr_def_11
| ~ c2_1(a465)
| ~ c3_1(a465) ),
inference(instantiation,[status(thm)],[c_18785]) ).
tcf(c_18928,plain,
( ~ iPr_def_13
| ~ c2_1(a483)
| ~ c3_1(a483)
| ~ c1_1(a483) ),
inference(instantiation,[status(thm)],[c_18788]) ).
tcf(c_18932,plain,
( c0_1(a483)
| ~ iPr_def_16
| ~ c3_1(a483)
| ~ c1_1(a483) ),
inference(instantiation,[status(thm)],[c_18792]) ).
tcf(c_18936,plain,
( c2_1(a494)
| c3_1(a494)
| ~ iPr_def_21
| ~ c0_1(a494) ),
inference(instantiation,[status(thm)],[c_18798]) ).
tcf(c_18943,plain,
( c3_1(a483)
| c0_1(a483)
| ~ iPr_def_22
| ~ c1_1(a483) ),
inference(instantiation,[status(thm)],[c_18800]) ).
tcf(c_18944,plain,
( c3_1(a481)
| c0_1(a481)
| ~ iPr_def_22
| ~ c1_1(a481) ),
inference(instantiation,[status(thm)],[c_18800]) ).
tcf(c_18951,plain,
( c2_1(a494)
| c1_1(a494)
| ~ iPr_def_39
| ~ c0_1(a494) ),
inference(instantiation,[status(thm)],[c_18838]) ).
tcf(c_18952,plain,
( c2_1(a487)
| c1_1(a487)
| ~ iPr_def_39
| ~ c0_1(a487) ),
inference(instantiation,[status(thm)],[c_18838]) ).
tcf(c_18955,plain,
( c2_1(a471)
| c1_1(a471)
| ~ iPr_def_39
| ~ c0_1(a471) ),
inference(instantiation,[status(thm)],[c_18838]) ).
tcf(c_18978,plain,
( c1_1(a477)
| ~ iPr_def_19
| ~ c2_1(a477)
| ~ c3_1(a477) ),
inference(instantiation,[status(thm)],[c_18796]) ).
tcf(c_18980,plain,
( c1_1(a465)
| ~ iPr_def_19
| ~ c2_1(a465)
| ~ c3_1(a465) ),
inference(instantiation,[status(thm)],[c_18796]) ).
tcf(c_18982,plain,
( ~ iPr_def_10
| ~ c2_1(a474)
| ~ c1_1(a474)
| ~ c0_1(a474) ),
inference(instantiation,[status(thm)],[c_18784]) ).
tcf(c_18990,plain,
( c2_1(a481)
| c0_1(a481)
| ~ iPr_def_29
| ~ c1_1(a481) ),
inference(instantiation,[status(thm)],[c_18810]) ).
tcf(c_19006,plain,
( c1_1(a477)
| ~ iPr_def_18
| ~ c3_1(a477)
| ~ c0_1(a477) ),
inference(instantiation,[status(thm)],[c_18794]) ).
tcf(c_19007,plain,
( c1_1(a471)
| ~ iPr_def_18
| ~ c3_1(a471)
| ~ c0_1(a471) ),
inference(instantiation,[status(thm)],[c_18794]) ).
tcf(c_19013,plain,
( c0_1(a483)
| ~ iPr_def_41
| ~ c2_1(a483)
| ~ c1_1(a483) ),
inference(instantiation,[status(thm)],[c_18847]) ).
tcf(c_19014,plain,
( c0_1(a481)
| ~ iPr_def_41
| ~ c2_1(a481)
| ~ c1_1(a481) ),
inference(instantiation,[status(thm)],[c_18847]) ).
tcf(c_19021,plain,
( c2_1(a494)
| ~ iPr_def_24
| ~ c1_1(a494)
| ~ c0_1(a494) ),
inference(instantiation,[status(thm)],[c_18802]) ).
tcf(c_19024,plain,
( c2_1(a494)
| c3_1(a494)
| ~ iPr_def_26
| ~ c1_1(a494) ),
inference(instantiation,[status(thm)],[c_18806]) ).
tcf(c_19059,plain,
( c3_1(a494)
| ~ iPr_def_14
| ~ c1_1(a494)
| ~ c0_1(a494) ),
inference(instantiation,[status(thm)],[c_18789]) ).
tcf(c_19069,plain,
( c1_1(a465)
| c0_1(a465)
| ~ iPr_def_20
| ~ c2_1(a465) ),
inference(instantiation,[status(thm)],[c_18797]) ).
tcf(c_19098,plain,
( c2_1(a471)
| ~ iPr_def_24
| ~ c1_1(a471)
| ~ c0_1(a471) ),
inference(instantiation,[status(thm)],[c_18802]) ).
tcf(c_19105,plain,
( ~ iPr_def_12
| ~ c3_1(a471)
| ~ c1_1(a471)
| ~ c0_1(a471) ),
inference(instantiation,[status(thm)],[c_18786]) ).
tcf(c_19141,plain,
( c0_1(a493)
| ~ iPr_def_11
| ~ c2_1(a493)
| ~ c3_1(a493) ),
inference(instantiation,[status(thm)],[c_18785]) ).
tcf(c_19147,plain,
( ~ iPr_def_10
| ~ c2_1(a488)
| ~ c1_1(a488)
| ~ c0_1(a488) ),
inference(instantiation,[status(thm)],[c_18784]) ).
tcf(c_19150,plain,
( c0_1(a488)
| ~ iPr_def_16
| ~ c3_1(a488)
| ~ c1_1(a488) ),
inference(instantiation,[status(thm)],[c_18792]) ).
tcf(c_19151,plain,
( ~ iPr_def_13
| ~ c2_1(a488)
| ~ c3_1(a488)
| ~ c1_1(a488) ),
inference(instantiation,[status(thm)],[c_18788]) ).
tcf(c_19158,plain,
( c2_1(a470)
| c3_1(a470)
| c1_1(a470)
| ~ iPr_def_25 ),
inference(instantiation,[status(thm)],[c_18804]) ).
tcf(c_19197,plain,
( c3_1(a481)
| c0_1(a481)
| ~ iPr_def_38
| ~ c2_1(a481) ),
inference(instantiation,[status(thm)],[c_18836]) ).
tcf(c_19198,plain,
( c3_1(a478)
| c0_1(a478)
| ~ iPr_def_38
| ~ c2_1(a478) ),
inference(instantiation,[status(thm)],[c_18836]) ).
tcf(c_19200,plain,
( c3_1(a466)
| c0_1(a466)
| ~ iPr_def_38
| ~ c2_1(a466) ),
inference(instantiation,[status(thm)],[c_18836]) ).
tcf(c_19218,plain,
( c3_1(a467)
| c1_1(a467)
| ~ iPr_def_33
| ~ c0_1(a467) ),
inference(instantiation,[status(thm)],[c_18824]) ).
tcf(c_19228,plain,
( c2_1(a482)
| c1_1(a482)
| ~ iPr_def_27
| ~ c3_1(a482) ),
inference(instantiation,[status(thm)],[c_18807]) ).
tcf(c_19282,plain,
( c2_1(a466)
| c3_1(a466)
| c1_1(a466)
| ~ iPr_def_25 ),
inference(instantiation,[status(thm)],[c_18804]) ).
tcf(c_19285,plain,
( c2_1(a465)
| c1_1(a465)
| ~ iPr_def_27
| ~ c3_1(a465) ),
inference(instantiation,[status(thm)],[c_18807]) ).
tcf(c_19372,plain,
( c3_1(a463)
| c1_1(a463)
| ~ iPr_def_23
| ~ c2_1(a463) ),
inference(instantiation,[status(thm)],[c_18801]) ).
tcf(c_19430,plain,
( c1_1(a479)
| ~ iPr_def_18
| ~ c3_1(a479)
| ~ c0_1(a479) ),
inference(instantiation,[status(thm)],[c_18794]) ).
tcf(c_19515,plain,
( c3_1(a500)
| ~ iPr_def_14
| ~ c1_1(a500)
| ~ c0_1(a500) ),
inference(instantiation,[status(thm)],[c_18789]) ).
tcf(c_19517,plain,
( c2_1(a500)
| ~ iPr_def_24
| ~ c1_1(a500)
| ~ c0_1(a500) ),
inference(instantiation,[status(thm)],[c_18802]) ).
tcf(c_19518,plain,
( c2_1(a500)
| c0_1(a500)
| ~ iPr_def_29
| ~ c1_1(a500) ),
inference(instantiation,[status(thm)],[c_18810]) ).
tcf(c_19520,plain,
( c2_1(a500)
| c3_1(a500)
| ~ iPr_def_26
| ~ c1_1(a500) ),
inference(instantiation,[status(thm)],[c_18806]) ).
tcf(c_19521,plain,
( c3_1(a500)
| c0_1(a500)
| ~ iPr_def_22
| ~ c1_1(a500) ),
inference(instantiation,[status(thm)],[c_18800]) ).
tcf(c_19527,plain,
( c2_1(a500)
| c3_1(a500)
| c0_1(a500)
| ~ iPr_def_30 ),
inference(instantiation,[status(thm)],[c_18813]) ).
tcf(c_19530,plain,
( c2_1(a500)
| c3_1(a500)
| ~ iPr_def_21
| ~ c0_1(a500) ),
inference(instantiation,[status(thm)],[c_18798]) ).
tcf(c_19758,plain,
( c2_1(a529)
| ~ iPr_def_37
| ~ c3_1(a529)
| ~ c1_1(a529) ),
inference(instantiation,[status(thm)],[c_18833]) ).
tcf(c_19763,plain,
( ~ iPr_def_10
| ~ c2_1(a529)
| ~ c1_1(a529)
| ~ c0_1(a529) ),
inference(instantiation,[status(thm)],[c_18784]) ).
tcf(c_19767,plain,
( ~ iPr_def_13
| ~ c2_1(a529)
| ~ c3_1(a529)
| ~ c1_1(a529) ),
inference(instantiation,[status(thm)],[c_18788]) ).
tcf(c_19768,plain,
( ~ iPr_def_12
| ~ c3_1(a529)
| ~ c1_1(a529)
| ~ c0_1(a529) ),
inference(instantiation,[status(thm)],[c_18786]) ).
tcf(c_19780,plain,
( c2_1(a470)
| c0_1(a470)
| ~ iPr_def_32
| ~ c3_1(a470) ),
inference(instantiation,[status(thm)],[c_18822]) ).
tcf(c_19781,plain,
( c2_1(a464)
| c0_1(a464)
| ~ iPr_def_32
| ~ c3_1(a464) ),
inference(instantiation,[status(thm)],[c_18822]) ).
tcf(c_19784,plain,
( c2_1(a465)
| c0_1(a465)
| ~ iPr_def_32
| ~ c3_1(a465) ),
inference(instantiation,[status(thm)],[c_18822]) ).
tcf(c_19837,plain,
( c2_1(a471)
| ~ iPr_def_35
| ~ c3_1(a471)
| ~ c0_1(a471) ),
inference(instantiation,[status(thm)],[c_18827]) ).
tcf(c_19838,plain,
( c2_1(a471)
| c1_1(a471)
| ~ iPr_def_27
| ~ c3_1(a471) ),
inference(instantiation,[status(thm)],[c_18807]) ).
tcf(c_19851,plain,
( c0_1(a545)
| ~ iPr_def_16
| ~ c3_1(a545)
| ~ c1_1(a545) ),
inference(instantiation,[status(thm)],[c_18792]) ).
tcf(c_19860,plain,
( c2_1(a481)
| c3_1(a481)
| c0_1(a481)
| ~ iPr_def_30 ),
inference(instantiation,[status(thm)],[c_18813]) ).
tcf(c_19864,plain,
( c2_1(a471)
| ~ iPr_def_37
| ~ c3_1(a471)
| ~ c1_1(a471) ),
inference(instantiation,[status(thm)],[c_18833]) ).
tcf(c_19943,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_19864,c_19860,c_19851,c_19837,c_19838,c_19784,c_19781,c_19780,c_19758,c_19763,c_19767,c_19768,c_19527,c_19530,c_19515,c_19517,c_19518,c_19520,c_19521,c_19430,c_19372,c_19285,c_19282,c_19228,c_19218,c_19200,c_19198,c_19197,c_19158,c_19147,c_19150,c_19151,c_19141,c_19098,c_19105,c_19069,c_19059,c_19021,c_19024,c_19014,c_19013,c_19007,c_19006,c_18990,c_18982,c_18980,c_18978,c_18955,c_18952,c_18951,c_18944,c_18943,c_18936,c_18932,c_18928,c_18921,c_18918,c_18916,c_18908,c_18904,c_18892,c_18876,c_18874,c_18873,c_18871,c_18868,c_18866,c_18864,c_18862,c_18854,c_18850,c_18849,c_18845,c_18837,c_18835,c_18834,c_18828,c_18825,c_18823,c_18817,c_18816,c_18814,c_18808,c_18803,c_18799,c_18791,c_18787,c_18848,c_18840,c_7336,c_7326,c_7316,c_6637,c_6627,c_6617,c_4124,c_4114,c_4104,c_3911,c_3901,c_3891,c_352,c_362,c_363,c_364,c_365,c_366,c_367,c_368,c_370,c_371,c_372,c_373,c_374,c_375,c_376,c_377,c_380,c_381,c_382,c_383,c_384,c_385,c_386,c_387,c_388,c_391,c_392,c_393,c_394,c_395,c_303,c_304,c_305,c_306,c_307,c_308,c_314,c_315,c_322,c_323,c_324,c_325,c_326,c_329,c_330,c_331,c_332,c_333,c_334,c_335,c_340,c_341,c_342,c_344,c_345,c_346,c_347]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN505-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n010.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 25 01:36:02 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.42 Running EPR theorem proving
% 0.12/0.42 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
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 4.42/1.27 % SZS status Started for theBenchmark.p
% 4.42/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 4.42/1.27
% 4.42/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.42/1.27
% 4.42/1.27 % ------ iProver source info
% 4.42/1.27
% 4.42/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 4.42/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.42/1.27 % git: non_committed_changes: false
% 4.42/1.27
% 4.42/1.27 % ------ Parsing...% successful
% 4.42/1.27
% 4.42/1.27
% 4.42/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.42/1.27 %
% 4.42/1.27
% 4.42/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.42/1.27
% 4.42/1.27 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.42/1.27 gs_s sp: 117 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.42/1.27 % ------ Proving...
% 4.42/1.27 % ------ Problem Properties
% 4.42/1.27
% 4.42/1.27 %
% 4.42/1.27 % clauses 207
% 4.42/1.27 % conjectures 204
% 4.42/1.27 % EPR 207
% 4.42/1.27 % Horn 109
% 4.42/1.27 % unary 0
% 4.42/1.27 % binary 95
% 4.42/1.27 % lits 558
% 4.42/1.27 % lits eq 0
% 4.42/1.27 % fd_pure 0
% 4.42/1.27 % fd_pseudo 0
% 4.42/1.27 % fd_cond 0
% 4.42/1.27 % fd_pseudo_cond 0
% 4.42/1.27 % AC symbols 0
% 4.42/1.27
% 4.42/1.27 % ------ Schedule EPR non Horn non eq is on
% 4.42/1.27
% 4.42/1.27 % ------ no equalities: superposition off
% 4.42/1.27
% 4.42/1.27 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.42/1.27
% 4.42/1.27
% 4.42/1.27 % ------
% 4.42/1.27 % Current options:
% 4.42/1.27 % ------
% 4.42/1.27
% 4.42/1.27
% 4.42/1.27 %
% 4.42/1.27
% 4.42/1.27 % ------ Proving...
% 4.42/1.27 %
% 4.42/1.27
% 4.42/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 4.42/1.27
% 4.42/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.42/1.28
% 4.42/1.28
%------------------------------------------------------------------------------