%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN458-1 : 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 03:40:19 PM UTC 2026
% Result : Unsatisfiable 3.60s 1.15s
% Output : CNFRefutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 100
% Syntax : Number of formulae : 378 ( 2 unt; 0 def)
% Number of atoms : 1544 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 1993 ( 827 ~;1166 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 54 ( 53 usr; 50 prp; 0-1 aty)
% Number of functors : 23 ( 23 usr; 23 con; 0-0 aty)
% Number of variables : 235 ( 0 sgn 235 !; 0 ?; 182 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( hskp5
| hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f28,negated_conjecture,
( ndr1_0
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
fof(f33,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f37,negated_conjecture,
( c0_1(a1148)
| ~ hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f38,negated_conjecture,
( c1_1(a1148)
| ~ hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f39,negated_conjecture,
( c2_1(a1148)
| ~ hskp31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f40,negated_conjecture,
( c0_1(a1109)
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f41,negated_conjecture,
( c1_1(a1109)
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f42,negated_conjecture,
( c3_1(a1109)
| ~ hskp30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( c1_1(a1101)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( c2_1(a1101)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f45,negated_conjecture,
( c3_1(a1101)
| ~ hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( c0_1(a1092)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( c2_1(a1092)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( c3_1(a1092)
| ~ hskp28 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f50,negated_conjecture,
( c2_1(a1146)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( c3_1(a1146)
| ~ hskp26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f58,negated_conjecture,
( c1_1(a1120)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( c2_1(a1120)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f61,negated_conjecture,
( c0_1(a1113)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( c1_1(a1113)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( c0_1(a1103)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( c3_1(a1103)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f67,negated_conjecture,
( c2_1(a1098)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( c1_1(a1097)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( c3_1(a1097)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( c3_1(a1095)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f73,negated_conjecture,
( c2_1(a1091)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( c2_1(a1089)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( c3_1(a1089)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( c0_1(a1088)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( c3_1(a1088)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( c0_1(a1086)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( c2_1(a1086)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( c2_1(a1085)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( c0_1(a1084)
| ~ hskp4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( c1_1(a1083)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f84,negated_conjecture,
( c1_1(a1080)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f87,negated_conjecture,
( ~ hskp26
| ~ c0_1(a1146) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( ~ hskp25
| ~ c1_1(a1125) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f89,negated_conjecture,
( ~ hskp25
| ~ c2_1(a1125) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f90,negated_conjecture,
( ~ hskp25
| ~ c3_1(a1125) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
fof(f94,negated_conjecture,
( ~ hskp21
| ~ c3_1(a1120) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
fof(f97,negated_conjecture,
( ~ hskp19
| ~ c2_1(a1113) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f98,negated_conjecture,
( ~ hskp18
| ~ c1_1(a1103) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ hskp17
| ~ c0_1(a1102) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ hskp17
| ~ c2_1(a1102) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f103,negated_conjecture,
( ~ hskp15
| ~ c1_1(a1098) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f105,negated_conjecture,
( ~ hskp14
| ~ c2_1(a1097) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ hskp13
| ~ c1_1(a1095) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ hskp13
| ~ c2_1(a1095) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f109,negated_conjecture,
( ~ hskp11
| ~ c0_1(a1091) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ hskp11
| ~ c3_1(a1091) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f114,negated_conjecture,
( ~ hskp9
| ~ c1_1(a1089) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ hskp8
| ~ c2_1(a1088) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ hskp7
| ~ c0_1(a1087) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ hskp7
| ~ c1_1(a1087) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ hskp7
| ~ c2_1(a1087) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ hskp6
| ~ c1_1(a1086) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ hskp5
| ~ c0_1(a1085) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ hskp5
| ~ c1_1(a1085) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ hskp4
| ~ c1_1(a1084) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ hskp4
| ~ c3_1(a1084) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
( ~ hskp3
| ~ c2_1(a1083) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ hskp3
| ~ c3_1(a1083) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ hskp2
| ~ c0_1(a1082) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ hskp2
| ~ c2_1(a1082) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ hskp2
| ~ c3_1(a1082) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f131,negated_conjecture,
( ~ hskp0
| ~ c0_1(a1080) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f132,negated_conjecture,
( ~ hskp0
| ~ c2_1(a1080) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
fof(f135,negated_conjecture,
! [X0] :
( hskp18
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
fof(f137,negated_conjecture,
! [X0] :
( hskp7
| hskp6
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
fof(f138,negated_conjecture,
! [X0] :
( hskp9
| hskp8
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f140,negated_conjecture,
! [X0] :
( hskp15
| hskp14
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f143,negated_conjecture,
! [X0] :
( hskp19
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
fof(f147,negated_conjecture,
! [X0] :
( hskp14
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
fof(f148,negated_conjecture,
! [X0] :
( hskp21
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f151,negated_conjecture,
! [X0] :
( hskp18
| hskp30
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
fof(f154,negated_conjecture,
! [X0] :
( hskp2
| hskp0
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
fof(f156,negated_conjecture,
! [X0] :
( hskp11
| hskp9
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
fof(f157,negated_conjecture,
! [X0] :
( hskp9
| hskp30
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f159,negated_conjecture,
! [X0] :
( hskp9
| hskp28
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
fof(f160,negated_conjecture,
! [X0] :
( hskp13
| hskp5
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
fof(f165,negated_conjecture,
! [X0,X1] :
( hskp3
| c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| c0_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
fof(f166,negated_conjecture,
! [X0,X1] :
( hskp4
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c0_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
fof(f169,negated_conjecture,
! [X0,X1] :
( hskp5
| c1_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f170,negated_conjecture,
! [X0,X1] :
( hskp5
| 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',clause170) ).
fof(f171,negated_conjecture,
! [X0,X1] :
( hskp29
| 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',clause171) ).
fof(f172,negated_conjecture,
! [X0,X1] :
( hskp9
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f178,negated_conjecture,
! [X0,X1] :
( hskp17
| c3_1(X1)
| c0_1(X1)
| ~ c2_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] :
( hskp5
| c3_1(X1)
| c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f180,negated_conjecture,
! [X0,X1] :
( hskp31
| c3_1(X1)
| c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
fof(f181,negated_conjecture,
! [X0,X1] :
( hskp25
| c1_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',clause181) ).
fof(f182,negated_conjecture,
! [X0,X1] :
( hskp26
| c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
fof(f183,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
fof(f184,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
fof(f185,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
fof(f186,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause186) ).
fof(f187,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause187) ).
fof(f188,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause188) ).
tcf(c_237,negated_conjecture,
( hskp5
| hskp0 ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_264,negated_conjecture,
( ndr1_0
| ~ hskp5 ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_269,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_273,negated_conjecture,
( c0_1(a1148)
| ~ hskp31 ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_274,negated_conjecture,
( c1_1(a1148)
| ~ hskp31 ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_275,negated_conjecture,
( c2_1(a1148)
| ~ hskp31 ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_276,negated_conjecture,
( c0_1(a1109)
| ~ hskp30 ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_277,negated_conjecture,
( c1_1(a1109)
| ~ hskp30 ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_278,negated_conjecture,
( c3_1(a1109)
| ~ hskp30 ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_279,negated_conjecture,
( c1_1(a1101)
| ~ hskp29 ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_280,negated_conjecture,
( c2_1(a1101)
| ~ hskp29 ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_281,negated_conjecture,
( c3_1(a1101)
| ~ hskp29 ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_282,negated_conjecture,
( c0_1(a1092)
| ~ hskp28 ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_283,negated_conjecture,
( c2_1(a1092)
| ~ hskp28 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_284,negated_conjecture,
( c3_1(a1092)
| ~ hskp28 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_286,negated_conjecture,
( c2_1(a1146)
| ~ hskp26 ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_287,negated_conjecture,
( c3_1(a1146)
| ~ hskp26 ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_294,negated_conjecture,
( c1_1(a1120)
| ~ hskp21 ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_295,negated_conjecture,
( c2_1(a1120)
| ~ hskp21 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_297,negated_conjecture,
( c0_1(a1113)
| ~ hskp19 ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_298,negated_conjecture,
( c1_1(a1113)
| ~ hskp19 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_299,negated_conjecture,
( c0_1(a1103)
| ~ hskp18 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_300,negated_conjecture,
( c3_1(a1103)
| ~ hskp18 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_303,negated_conjecture,
( c2_1(a1098)
| ~ hskp15 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_304,negated_conjecture,
( c1_1(a1097)
| ~ hskp14 ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_305,negated_conjecture,
( c3_1(a1097)
| ~ hskp14 ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_306,negated_conjecture,
( c3_1(a1095)
| ~ hskp13 ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_309,negated_conjecture,
( c2_1(a1091)
| ~ hskp11 ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_310,negated_conjecture,
( c2_1(a1089)
| ~ hskp9 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_311,negated_conjecture,
( c3_1(a1089)
| ~ hskp9 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_312,negated_conjecture,
( c0_1(a1088)
| ~ hskp8 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_313,negated_conjecture,
( c3_1(a1088)
| ~ hskp8 ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_314,negated_conjecture,
( c0_1(a1086)
| ~ hskp6 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_315,negated_conjecture,
( c2_1(a1086)
| ~ hskp6 ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_316,negated_conjecture,
( c2_1(a1085)
| ~ hskp5 ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_317,negated_conjecture,
( c0_1(a1084)
| ~ hskp4 ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_318,negated_conjecture,
( c1_1(a1083)
| ~ hskp3 ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_320,negated_conjecture,
( c1_1(a1080)
| ~ hskp0 ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_323,negated_conjecture,
( ~ hskp26
| ~ c0_1(a1146) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_324,negated_conjecture,
( ~ hskp25
| ~ c1_1(a1125) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_325,negated_conjecture,
( ~ hskp25
| ~ c2_1(a1125) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_326,negated_conjecture,
( ~ hskp25
| ~ c3_1(a1125) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_330,negated_conjecture,
( ~ hskp21
| ~ c3_1(a1120) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_333,negated_conjecture,
( ~ hskp19
| ~ c2_1(a1113) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_334,negated_conjecture,
( ~ hskp18
| ~ c1_1(a1103) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_335,negated_conjecture,
( ~ hskp17
| ~ c0_1(a1102) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_336,negated_conjecture,
( ~ hskp17
| ~ c2_1(a1102) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_339,negated_conjecture,
( ~ hskp15
| ~ c1_1(a1098) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_341,negated_conjecture,
( ~ hskp14
| ~ c2_1(a1097) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_342,negated_conjecture,
( ~ hskp13
| ~ c1_1(a1095) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_343,negated_conjecture,
( ~ hskp13
| ~ c2_1(a1095) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_345,negated_conjecture,
( ~ hskp11
| ~ c0_1(a1091) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_346,negated_conjecture,
( ~ hskp11
| ~ c3_1(a1091) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_350,negated_conjecture,
( ~ hskp9
| ~ c1_1(a1089) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_351,negated_conjecture,
( ~ hskp8
| ~ c2_1(a1088) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_352,negated_conjecture,
( ~ hskp7
| ~ c0_1(a1087) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_353,negated_conjecture,
( ~ hskp7
| ~ c1_1(a1087) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_354,negated_conjecture,
( ~ hskp7
| ~ c2_1(a1087) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_355,negated_conjecture,
( ~ hskp6
| ~ c1_1(a1086) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_356,negated_conjecture,
( ~ hskp5
| ~ c0_1(a1085) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_357,negated_conjecture,
( ~ hskp5
| ~ c1_1(a1085) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_358,negated_conjecture,
( ~ hskp4
| ~ c1_1(a1084) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_359,negated_conjecture,
( ~ hskp4
| ~ c3_1(a1084) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_360,negated_conjecture,
( ~ hskp3
| ~ c2_1(a1083) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_361,negated_conjecture,
( ~ hskp3
| ~ c3_1(a1083) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_362,negated_conjecture,
( ~ hskp2
| ~ c0_1(a1082) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_363,negated_conjecture,
( ~ hskp2
| ~ c2_1(a1082) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_364,negated_conjecture,
( ~ hskp2
| ~ c3_1(a1082) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_367,negated_conjecture,
( ~ hskp0
| ~ c0_1(a1080) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_368,negated_conjecture,
( ~ hskp0
| ~ c2_1(a1080) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_371,negated_conjecture,
! [X0: $i] :
( hskp18
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_373,negated_conjecture,
! [X0: $i] :
( hskp6
| hskp7
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_374,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp9
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_376,negated_conjecture,
! [X0: $i] :
( hskp14
| hskp15
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_379,negated_conjecture,
! [X0: $i] :
( hskp19
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_383,negated_conjecture,
! [X0: $i] :
( hskp14
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_384,negated_conjecture,
! [X0: $i] :
( hskp21
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_387,negated_conjecture,
! [X0: $i] :
( hskp18
| hskp30
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_390,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp0
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_392,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp11
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_393,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp30
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_395,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp28
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_396,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp5
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_401,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_402,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c3_1(X0)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_405,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_406,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c2_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_407,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp29
| c3_1(X0)
| c1_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_408,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_414,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c3_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_415,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c3_1(X1)
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_416,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp31
| c3_1(X1)
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_417,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp25
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_418,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp26
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_419,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_420,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_421,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_422,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_423,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_424,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_461,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_269,c_237,c_269,c_264]) ).
tcf(c_528,negated_conjecture,
! [X0: $i] :
( hskp18
| c3_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_371,c_237,c_269,c_264,c_371]) ).
tcf(c_540,plain,
! [X0: $i] :
( hskp21
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_384,c_237,c_269,c_264,c_384]) ).
tcf(c_541,negated_conjecture,
! [X0: $i] :
( hskp21
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_540]) ).
tcf(c_543,plain,
! [X0: $i] :
( hskp14
| c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_383,c_237,c_269,c_264,c_383]) ).
tcf(c_544,negated_conjecture,
! [X0: $i] :
( hskp14
| c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_543]) ).
tcf(c_555,plain,
! [X0: $i] :
( hskp19
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_379,c_237,c_269,c_264,c_379]) ).
tcf(c_556,negated_conjecture,
! [X0: $i] :
( hskp19
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_555]) ).
tcf(c_564,negated_conjecture,
! [X0: $i] :
( hskp14
| hskp15
| c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_376,c_237,c_269,c_264,c_376]) ).
tcf(c_570,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp9
| c1_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_374,c_237,c_269,c_264,c_374]) ).
tcf(c_573,negated_conjecture,
! [X0: $i] :
( hskp6
| hskp7
| c1_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_373,c_237,c_269,c_264,c_373]) ).
tcf(c_576,plain,
! [X0: $i] :
( hskp9
| hskp28
| c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_395,c_237,c_269,c_264,c_395]) ).
tcf(c_577,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp28
| c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_576]) ).
tcf(c_582,plain,
! [X0: $i] :
( hskp9
| hskp30
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_393,c_237,c_269,c_264,c_393]) ).
tcf(c_583,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp30
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_582]) ).
tcf(c_585,plain,
! [X0: $i] :
( hskp9
| hskp11
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_392,c_237,c_269,c_264,c_392]) ).
tcf(c_586,negated_conjecture,
! [X0: $i] :
( hskp9
| hskp11
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_585]) ).
tcf(c_591,plain,
! [X0: $i] :
( hskp2
| hskp0
| c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_390,c_237,c_269,c_264,c_390]) ).
tcf(c_592,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp0
| c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_591]) ).
tcf(c_600,plain,
! [X0: $i] :
( hskp18
| hskp30
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_387,c_237,c_269,c_264,c_387]) ).
tcf(c_601,negated_conjecture,
! [X0: $i] :
( hskp18
| hskp30
| c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_600]) ).
tcf(c_615,plain,
! [X0: $i] :
( hskp13
| hskp5
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_396,c_237,c_269,c_264,c_396]) ).
tcf(c_616,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp5
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_615]) ).
tcf(c_625,plain,
! [X0: $i,X1: $i] :
( hskp4
| c3_1(X0)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_402,c_237,c_269,c_264,c_402]) ).
tcf(c_626,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c3_1(X0)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_625]) ).
tcf(c_627,plain,
! [X0: $i,X1: $i] :
( hskp3
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_401,c_237,c_269,c_264,c_401]) ).
tcf(c_628,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_627]) ).
tcf(c_636,plain,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_408,c_237,c_269,c_264,c_408]) ).
tcf(c_637,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X1)
| c1_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_636]) ).
tcf(c_638,plain,
! [X0: $i,X1: $i] :
( hskp29
| c3_1(X0)
| c1_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_407,c_237,c_269,c_264,c_407]) ).
tcf(c_639,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp29
| c3_1(X0)
| c1_1(X1)
| c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_638]) ).
tcf(c_640,plain,
! [X0: $i,X1: $i] :
( hskp5
| c2_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_406,c_237,c_269,c_264,c_406]) ).
tcf(c_641,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c2_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_640]) ).
tcf(c_642,plain,
! [X0: $i,X1: $i] :
( hskp5
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_405,c_237,c_269,c_264,c_405]) ).
tcf(c_643,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_642]) ).
tcf(c_645,plain,
! [X0: $i,X1: $i] :
( hskp31
| c3_1(X1)
| c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_416,c_237,c_269,c_264,c_416]) ).
tcf(c_646,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp31
| c3_1(X1)
| c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_645]) ).
tcf(c_648,plain,
! [X0: $i,X1: $i] :
( hskp5
| c3_1(X1)
| c3_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_415,c_237,c_269,c_264,c_415]) ).
tcf(c_649,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c3_1(X1)
| c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_648]) ).
tcf(c_651,plain,
! [X0: $i,X1: $i] :
( hskp17
| c3_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_414,c_237,c_269,c_264,c_414]) ).
tcf(c_652,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c3_1(X1)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_651]) ).
tcf(c_657,plain,
! [X0: $i,X1: $i] :
( hskp26
| c2_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_418,c_237,c_269,c_264,c_418]) ).
tcf(c_658,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp26
| c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_657]) ).
tcf(c_659,plain,
! [X0: $i,X1: $i] :
( hskp25
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_417,c_237,c_269,c_264,c_417]) ).
tcf(c_660,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp25
| c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_659]) ).
tcf(c_661,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_419,c_237,c_269,c_264,c_419]) ).
tcf(c_662,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| c1_1(X0)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_661]) ).
tcf(c_663,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c0_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_421,c_421,c_461]) ).
tcf(c_664,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c0_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_663]) ).
tcf(c_665,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_420,c_237,c_269,c_264,c_420]) ).
tcf(c_666,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_665]) ).
tcf(c_667,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_422,c_237,c_269,c_264,c_422]) ).
tcf(c_668,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c0_1(X2)
| ~ c2_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_667]) ).
tcf(c_669,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_424,c_237,c_269,c_264,c_424]) ).
tcf(c_670,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_669]) ).
tcf(c_671,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_423,c_237,c_269,c_264,c_423]) ).
tcf(c_672,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_671]) ).
tcf(c_3151,plain,
! [X0: $i] :
( hskp14
| c2_1(X0)
| c0_1(X0)
| ~ c1_1(a1098)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_564,c_339]) ).
tcf(c_3152,plain,
( hskp14
| c2_1(a1080)
| c0_1(a1080)
| ~ c1_1(a1080)
| ~ c1_1(a1098) ),
inference(instantiation,[status(thm)],[c_3151]) ).
tcf(c_3168,plain,
! [X0: $i] :
( hskp14
| c2_1(a1098)
| c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_564,c_303]) ).
tcf(c_3169,plain,
( hskp14
| c2_1(a1080)
| c2_1(a1098)
| c0_1(a1080)
| ~ c1_1(a1080) ),
inference(instantiation,[status(thm)],[c_3168]) ).
tcf(c_7135,plain,
( hskp0
| ~ c1_1(a1085) ),
inference(resolution,[status(thm)],[c_237,c_357]) ).
tcf(c_7142,plain,
( hskp0
| ~ c0_1(a1085) ),
inference(resolution,[status(thm)],[c_237,c_356]) ).
tcf(c_7149,plain,
( hskp0
| c2_1(a1085) ),
inference(resolution,[status(thm)],[c_237,c_316]) ).
tcf(c_14622,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_672]) ).
tcf(c_14623,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_672]) ).
tcf(c_14624,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_672]) ).
tcf(c_14625,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_672]) ).
tcf(c_14626,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_670]) ).
tcf(c_14627,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_670]) ).
tcf(c_14628,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_670]) ).
tcf(c_14629,negated_conjecture,
( iPr_def_15
| iPr_def_14
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_670]) ).
tcf(c_14630,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_668]) ).
tcf(c_14631,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_668]) ).
tcf(c_14632,negated_conjecture,
( iPr_def_17
| iPr_def_16
| iPr_def_14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_668]) ).
tcf(c_14633,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_666]) ).
tcf(c_14634,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| ~ c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_666]) ).
tcf(c_14635,negated_conjecture,
( iPr_def_19
| iPr_def_18
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_666]) ).
tcf(c_14636,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| ~ c1_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_664]) ).
tcf(c_14637,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_664]) ).
tcf(c_14638,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_22
| ~ c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_664]) ).
tcf(c_14639,negated_conjecture,
( iPr_def_22
| iPr_def_21
| iPr_def_20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_664]) ).
tcf(c_14640,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_23
| c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_662]) ).
tcf(c_14641,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_662]) ).
tcf(c_14642,negated_conjecture,
( iPr_def_24
| iPr_def_23
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_662]) ).
tcf(c_14643,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| ~ c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_660]) ).
tcf(c_14644,negated_conjecture,
( iPr_def_25
| iPr_def_15
| hskp25 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_660]) ).
tcf(c_14645,negated_conjecture,
( iPr_def_22
| iPr_def_12
| hskp26 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_658]) ).
tcf(c_14649,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_27
| c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_652]) ).
tcf(c_14650,negated_conjecture,
( iPr_def_27
| iPr_def_10
| hskp17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_652]) ).
tcf(c_14651,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| ~ c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_649]) ).
tcf(c_14652,negated_conjecture,
( iPr_def_28
| iPr_def_19
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_649]) ).
tcf(c_14653,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| ~ c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_646]) ).
tcf(c_14654,negated_conjecture,
( iPr_def_29
| iPr_def_28
| hskp31 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_646]) ).
tcf(c_14655,negated_conjecture,
( iPr_def_24
| iPr_def_14
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_643]) ).
tcf(c_14656,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_30
| c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_641]) ).
tcf(c_14657,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_641]) ).
tcf(c_14658,negated_conjecture,
( iPr_def_31
| iPr_def_30
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_641]) ).
tcf(c_14659,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_639]) ).
tcf(c_14660,negated_conjecture,
( iPr_def_32
| iPr_def_24
| hskp29 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_639]) ).
tcf(c_14661,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_33
| c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_637]) ).
tcf(c_14662,negated_conjecture,
( iPr_def_33
| iPr_def_13
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_637]) ).
tcf(c_14669,negated_conjecture,
( iPr_def_30
| iPr_def_14
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_628]) ).
tcf(c_14670,negated_conjecture,
( iPr_def_32
| iPr_def_14
| hskp4 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_626]) ).
tcf(c_14674,negated_conjecture,
( iPr_def_15
| hskp13
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_616]) ).
tcf(c_14679,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_37
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_601]) ).
tcf(c_14680,negated_conjecture,
( iPr_def_37
| hskp18
| hskp30 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_601]) ).
tcf(c_14684,negated_conjecture,
( iPr_def_25
| hskp2
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_592]) ).
tcf(c_14686,negated_conjecture,
( iPr_def_24
| hskp9
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_586]) ).
tcf(c_14687,negated_conjecture,
( iPr_def_17
| hskp9
| hskp30 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_583]) ).
tcf(c_14689,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_39
| ~ c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_577]) ).
tcf(c_14690,negated_conjecture,
( iPr_def_39
| hskp9
| hskp28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_577]) ).
tcf(c_14691,negated_conjecture,
( iPr_def_14
| hskp6
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_573]) ).
tcf(c_14692,negated_conjecture,
( iPr_def_14
| hskp8
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_570]) ).
tcf(c_14716,plain,
( c2_1(a1080)
| c0_1(a1080)
| ~ iPr_def_30
| ~ c1_1(a1080) ),
inference(instantiation,[status(thm)],[c_14656]) ).
tcf(c_14738,plain,
( hskp19
| c0_1(a1101)
| ~ c3_1(a1101)
| ~ c2_1(a1101) ),
inference(instantiation,[status(thm)],[c_556]) ).
tcf(c_14739,plain,
( hskp19
| c0_1(a1146)
| ~ c3_1(a1146)
| ~ c2_1(a1146) ),
inference(instantiation,[status(thm)],[c_556]) ).
tcf(c_14744,plain,
( hskp19
| c0_1(a1089)
| ~ c3_1(a1089)
| ~ c2_1(a1089) ),
inference(instantiation,[status(thm)],[c_556]) ).
tcf(c_14747,plain,
( c2_1(a1102)
| c1_1(a1102)
| c0_1(a1102)
| ~ iPr_def_11 ),
inference(instantiation,[status(thm)],[c_14623]) ).
tcf(c_14749,plain,
( c2_1(a1095)
| c1_1(a1095)
| c0_1(a1095)
| ~ iPr_def_11 ),
inference(instantiation,[status(thm)],[c_14623]) ).
tcf(c_14750,plain,
( c2_1(a1082)
| c1_1(a1082)
| c0_1(a1082)
| ~ iPr_def_11 ),
inference(instantiation,[status(thm)],[c_14623]) ).
tcf(c_14756,plain,
( c1_1(a1085)
| c0_1(a1085)
| ~ iPr_def_14
| ~ c2_1(a1085) ),
inference(instantiation,[status(thm)],[c_14627]) ).
tcf(c_14758,plain,
( ~ iPr_def_15
| ~ c2_1(a1148)
| ~ c1_1(a1148)
| ~ c0_1(a1148) ),
inference(instantiation,[status(thm)],[c_14628]) ).
tcf(c_14766,plain,
( c3_1(a1082)
| c2_1(a1082)
| ~ iPr_def_20
| ~ c1_1(a1082) ),
inference(instantiation,[status(thm)],[c_14636]) ).
tcf(c_14767,plain,
( ~ iPr_def_15
| ~ c2_1(a1101)
| ~ c1_1(a1101)
| ~ c0_1(a1101) ),
inference(instantiation,[status(thm)],[c_14628]) ).
tcf(c_14775,plain,
( ~ iPr_def_12
| ~ c3_1(a1089)
| ~ c2_1(a1089)
| ~ c0_1(a1089) ),
inference(instantiation,[status(thm)],[c_14624]) ).
tcf(c_14800,plain,
( c1_1(a1086)
| ~ iPr_def_25
| ~ c2_1(a1086)
| ~ c0_1(a1086) ),
inference(instantiation,[status(thm)],[c_14643]) ).
tcf(c_14812,plain,
( c2_1(a1102)
| c0_1(a1102)
| ~ iPr_def_30
| ~ c1_1(a1102) ),
inference(instantiation,[status(thm)],[c_14656]) ).
tcf(c_14824,plain,
( c3_1(a1084)
| ~ iPr_def_28
| ~ c2_1(a1084)
| ~ c0_1(a1084) ),
inference(instantiation,[status(thm)],[c_14651]) ).
tcf(c_14856,plain,
( ~ iPr_def_15
| ~ c2_1(a1092)
| ~ c1_1(a1092)
| ~ c0_1(a1092) ),
inference(instantiation,[status(thm)],[c_14628]) ).
tcf(c_14858,plain,
( ~ iPr_def_10
| ~ c3_1(a1092)
| ~ c1_1(a1092)
| ~ c0_1(a1092) ),
inference(instantiation,[status(thm)],[c_14622]) ).
tcf(c_14859,plain,
( ~ iPr_def_12
| ~ c3_1(a1092)
| ~ c2_1(a1092)
| ~ c0_1(a1092) ),
inference(instantiation,[status(thm)],[c_14624]) ).
tcf(c_14863,plain,
( c2_1(a1097)
| ~ iPr_def_17
| ~ c1_1(a1097)
| ~ c0_1(a1097) ),
inference(instantiation,[status(thm)],[c_14631]) ).
tcf(c_14871,plain,
( c1_1(a1092)
| ~ iPr_def_24
| ~ c3_1(a1092)
| ~ c2_1(a1092) ),
inference(instantiation,[status(thm)],[c_14641]) ).
tcf(c_14902,plain,
( c3_1(a1084)
| c1_1(a1084)
| ~ iPr_def_33
| ~ c2_1(a1084) ),
inference(instantiation,[status(thm)],[c_14661]) ).
tcf(c_14911,plain,
( c2_1(a1087)
| c1_1(a1087)
| c0_1(a1087)
| ~ iPr_def_11 ),
inference(instantiation,[status(thm)],[c_14623]) ).
tcf(c_14917,plain,
( c0_1(a1097)
| ~ iPr_def_37
| ~ c3_1(a1097)
| ~ c1_1(a1097) ),
inference(instantiation,[status(thm)],[c_14679]) ).
tcf(c_14933,plain,
( c2_1(a1097)
| ~ iPr_def_22
| ~ c3_1(a1097)
| ~ c1_1(a1097) ),
inference(instantiation,[status(thm)],[c_14638]) ).
tcf(c_14942,plain,
( c3_1(a1083)
| c2_1(a1083)
| ~ iPr_def_20
| ~ c1_1(a1083) ),
inference(instantiation,[status(thm)],[c_14636]) ).
tcf(c_14972,plain,
( c3_1(a1084)
| c2_1(a1084)
| ~ iPr_def_16
| ~ c0_1(a1084) ),
inference(instantiation,[status(thm)],[c_14630]) ).
tcf(c_15048,plain,
( c2_1(a1088)
| ~ iPr_def_39
| ~ c3_1(a1088)
| ~ c0_1(a1088) ),
inference(instantiation,[status(thm)],[c_14689]) ).
tcf(c_15052,plain,
( c2_1(a1095)
| ~ iPr_def_39
| ~ c3_1(a1095)
| ~ c0_1(a1095) ),
inference(instantiation,[status(thm)],[c_14689]) ).
tcf(c_15057,plain,
( c2_1(a1109)
| ~ iPr_def_39
| ~ c3_1(a1109)
| ~ c0_1(a1109) ),
inference(instantiation,[status(thm)],[c_14689]) ).
tcf(c_15060,plain,
( ~ iPr_def_15
| ~ c2_1(a1109)
| ~ c1_1(a1109)
| ~ c0_1(a1109) ),
inference(instantiation,[status(thm)],[c_14628]) ).
tcf(c_15067,plain,
( ~ iPr_def_10
| ~ c3_1(a1109)
| ~ c1_1(a1109)
| ~ c0_1(a1109) ),
inference(instantiation,[status(thm)],[c_14622]) ).
tcf(c_15093,plain,
( c1_1(a1089)
| ~ iPr_def_24
| ~ c3_1(a1089)
| ~ c2_1(a1089) ),
inference(instantiation,[status(thm)],[c_14641]) ).
tcf(c_15097,plain,
( c1_1(a1103)
| ~ iPr_def_31
| ~ c3_1(a1103)
| ~ c0_1(a1103) ),
inference(instantiation,[status(thm)],[c_14657]) ).
tcf(c_15102,plain,
( c1_1(a1095)
| ~ iPr_def_31
| ~ c3_1(a1095)
| ~ c0_1(a1095) ),
inference(instantiation,[status(thm)],[c_14657]) ).
tcf(c_15179,plain,
( c1_1(a1085)
| ~ iPr_def_24
| ~ c3_1(a1085)
| ~ c2_1(a1085) ),
inference(instantiation,[status(thm)],[c_14641]) ).
tcf(c_15236,plain,
( c2_1(a1113)
| ~ iPr_def_17
| ~ c1_1(a1113)
| ~ c0_1(a1113) ),
inference(instantiation,[status(thm)],[c_14631]) ).
tcf(c_15244,plain,
( ~ iPr_def_10
| ~ c3_1(a1113)
| ~ c1_1(a1113)
| ~ c0_1(a1113) ),
inference(instantiation,[status(thm)],[c_14622]) ).
tcf(c_15252,plain,
( ~ iPr_def_15
| ~ c2_1(a1120)
| ~ c1_1(a1120)
| ~ c0_1(a1120) ),
inference(instantiation,[status(thm)],[c_14628]) ).
tcf(c_15261,plain,
( c3_1(a1120)
| ~ iPr_def_19
| ~ c1_1(a1120)
| ~ c0_1(a1120) ),
inference(instantiation,[status(thm)],[c_14634]) ).
tcf(c_15269,plain,
( c3_1(a1120)
| ~ iPr_def_28
| ~ c2_1(a1120)
| ~ c0_1(a1120) ),
inference(instantiation,[status(thm)],[c_14651]) ).
tcf(c_15331,plain,
( c3_1(a1120)
| c0_1(a1120)
| ~ iPr_def_32
| ~ c1_1(a1120) ),
inference(instantiation,[status(thm)],[c_14659]) ).
tcf(c_15341,plain,
( c3_1(a1087)
| c2_1(a1087)
| c0_1(a1087)
| ~ iPr_def_23 ),
inference(instantiation,[status(thm)],[c_14640]) ).
tcf(c_15343,plain,
( c3_1(a1082)
| c2_1(a1082)
| c0_1(a1082)
| ~ iPr_def_23 ),
inference(instantiation,[status(thm)],[c_14640]) ).
tcf(c_15381,plain,
( hskp14
| c1_1(a1092)
| ~ c2_1(a1092)
| ~ c0_1(a1092) ),
inference(instantiation,[status(thm)],[c_544]) ).
tcf(c_15397,plain,
( hskp14
| c1_1(a1098)
| ~ c2_1(a1098)
| ~ c0_1(a1098) ),
inference(instantiation,[status(thm)],[c_544]) ).
tcf(c_15405,plain,
( c3_1(a1091)
| c0_1(a1091)
| ~ iPr_def_27
| ~ c2_1(a1091) ),
inference(instantiation,[status(thm)],[c_14649]) ).
tcf(c_15407,plain,
( c3_1(a1085)
| c0_1(a1085)
| ~ iPr_def_27
| ~ c2_1(a1085) ),
inference(instantiation,[status(thm)],[c_14649]) ).
tcf(c_15411,plain,
( hskp21
| c1_1(a1092)
| ~ c3_1(a1092)
| ~ c2_1(a1092) ),
inference(instantiation,[status(thm)],[c_541]) ).
tcf(c_15415,plain,
( hskp21
| c1_1(a1089)
| ~ c3_1(a1089)
| ~ c2_1(a1089) ),
inference(instantiation,[status(thm)],[c_541]) ).
tcf(c_15416,plain,
( hskp21
| c1_1(a1085)
| ~ c3_1(a1085)
| ~ c2_1(a1085) ),
inference(instantiation,[status(thm)],[c_541]) ).
tcf(c_15452,plain,
( c2_1(a1087)
| c0_1(a1087)
| ~ iPr_def_18
| ~ c3_1(a1087) ),
inference(instantiation,[status(thm)],[c_14633]) ).
tcf(c_15495,plain,
( c3_1(a1125)
| c2_1(a1125)
| ~ iPr_def_16
| ~ c0_1(a1125) ),
inference(instantiation,[status(thm)],[c_14630]) ).
tcf(c_15602,plain,
( c1_1(a1098)
| c0_1(a1098)
| ~ iPr_def_14
| ~ c2_1(a1098) ),
inference(instantiation,[status(thm)],[c_14627]) ).
tcf(c_15605,plain,
( c0_1(a1091)
| ~ iPr_def_13
| ~ c2_1(a1091)
| ~ c1_1(a1091) ),
inference(instantiation,[status(thm)],[c_14626]) ).
tcf(c_15623,plain,
( hskp14
| c1_1(a1086)
| ~ c2_1(a1086)
| ~ c0_1(a1086) ),
inference(instantiation,[status(thm)],[c_544]) ).
tcf(c_15666,plain,
( c3_1(a1125)
| c1_1(a1125)
| c0_1(a1125)
| ~ iPr_def_21 ),
inference(instantiation,[status(thm)],[c_14637]) ).
tcf(c_15669,plain,
( c3_1(a1091)
| c1_1(a1091)
| c0_1(a1091)
| ~ iPr_def_21 ),
inference(instantiation,[status(thm)],[c_14637]) ).
tcf(c_15721,plain,
( ~ iPr_def_12
| ~ c3_1(a1109)
| ~ c2_1(a1109)
| ~ c0_1(a1109) ),
inference(instantiation,[status(thm)],[c_14624]) ).
tcf(c_15895,plain,
( hskp18
| c3_1(a1120)
| c0_1(a1120)
| ~ c2_1(a1120) ),
inference(instantiation,[status(thm)],[c_528]) ).
tcf(c_15896,plain,
( c3_1(a1120)
| ~ iPr_def_29
| ~ c2_1(a1120)
| ~ c1_1(a1120) ),
inference(instantiation,[status(thm)],[c_14653]) ).
tcf(c_15897,plain,
( c0_1(a1120)
| ~ iPr_def_13
| ~ c2_1(a1120)
| ~ c1_1(a1120) ),
inference(instantiation,[status(thm)],[c_14626]) ).
tcf(c_15914,plain,
( c3_1(a1113)
| c2_1(a1113)
| ~ iPr_def_16
| ~ c0_1(a1113) ),
inference(instantiation,[status(thm)],[c_14630]) ).
tcf(c_15926,plain,
( c3_1(a1085)
| c1_1(a1085)
| c0_1(a1085)
| ~ iPr_def_21 ),
inference(instantiation,[status(thm)],[c_14637]) ).
tcf(c_16044,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_15926,c_15914,c_15895,c_15896,c_15897,c_15721,c_15669,c_15666,c_15623,c_15605,c_15602,c_15495,c_15452,c_15416,c_15415,c_15411,c_15407,c_15405,c_15397,c_15381,c_15343,c_15341,c_15331,c_15269,c_15261,c_15252,c_15244,c_15236,c_15179,c_15102,c_15097,c_15093,c_15067,c_15057,c_15060,c_15052,c_15048,c_14972,c_14942,c_14933,c_14917,c_14911,c_14902,c_14871,c_14863,c_14858,c_14859,c_14856,c_14824,c_14812,c_14800,c_14775,c_14767,c_14766,c_14758,c_14756,c_14750,c_14749,c_14747,c_14744,c_14739,c_14738,c_14716,c_14692,c_14691,c_14690,c_14687,c_14686,c_14684,c_14680,c_14674,c_14670,c_14669,c_14662,c_14660,c_14658,c_14655,c_14654,c_14652,c_14650,c_14645,c_14644,c_14642,c_14639,c_14635,c_14632,c_14629,c_14625,c_7149,c_7142,c_7135,c_3169,c_3152,c_323,c_324,c_325,c_326,c_330,c_333,c_334,c_335,c_336,c_341,c_342,c_343,c_345,c_346,c_350,c_351,c_352,c_353,c_354,c_355,c_356,c_357,c_358,c_359,c_360,c_361,c_362,c_363,c_364,c_367,c_368,c_273,c_274,c_275,c_276,c_277,c_278,c_279,c_280,c_281,c_282,c_283,c_284,c_286,c_287,c_294,c_295,c_297,c_298,c_299,c_300,c_304,c_305,c_306,c_309,c_310,c_311,c_312,c_313,c_314,c_315,c_316,c_317,c_318,c_320,c_237]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN458-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 01:18:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running EPR theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 3.60/1.15 % SZS status Started for theBenchmark.p
% 3.60/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.60/1.15
% 3.60/1.15 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.60/1.15
% 3.60/1.15 % ------ iProver source info
% 3.60/1.15
% 3.60/1.15 % git: date: 2026-07-19 20:42:38 +0200
% 3.60/1.15 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.60/1.15 % git: non_committed_changes: false
% 3.60/1.15
% 3.60/1.15 % ------ Parsing...% successful
% 3.60/1.15
% 3.60/1.15
% 3.60/1.15 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 3.60/1.15 %
% 3.60/1.15
% 3.60/1.15 % ------ 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 %
% 3.60/1.15
% 3.60/1.15 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 3.60/1.15 gs_s sp: 83 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.60/1.15 % ------ Proving...
% 3.60/1.15 % ------ Problem Properties
% 3.60/1.15
% 3.60/1.15 %
% 3.60/1.15 % clauses 187
% 3.60/1.15 % conjectures 184
% 3.60/1.15 % EPR 187
% 3.60/1.15 % Horn 109
% 3.60/1.15 % unary 0
% 3.60/1.15 % binary 94
% 3.60/1.15 % lits 503
% 3.60/1.15 % lits eq 0
% 3.60/1.15 % fd_pure 0
% 3.60/1.15 % fd_pseudo 0
% 3.60/1.15 % fd_cond 0
% 3.60/1.15 % fd_pseudo_cond 0
% 3.60/1.15 % AC symbols 0
% 3.60/1.15
% 3.60/1.15 % ------ Schedule EPR non Horn non eq is on
% 3.60/1.15
% 3.60/1.15 % ------ no equalities: superposition off
% 3.60/1.15
% 3.60/1.15 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.60/1.15
% 3.60/1.15
% 3.60/1.15 % ------
% 3.60/1.15 % Current options:
% 3.60/1.15 % ------
% 3.60/1.15
% 3.60/1.15
% 3.60/1.15 %
% 3.60/1.15
% 3.60/1.15 % ------ Proving...
% 3.60/1.15 %
% 3.60/1.15
% 3.60/1.15 % SZS status Unsatisfiable for theBenchmark.p
% 3.60/1.15
% 3.60/1.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.60/1.16
% 3.60/1.16
%------------------------------------------------------------------------------