%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN444-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n018.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 03:40:14 PM UTC 2026
% Result : Unsatisfiable 4.68s 1.22s
% Output : CNFRefutation 4.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 102
% Syntax : Number of formulae : 404 ( 2 unt; 0 def)
% Number of atoms : 1791 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2321 ( 934 ~;1387 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 55 ( 54 usr; 51 prp; 0-1 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 305 ( 0 sgn 305 !; 0 ?; 236 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
( ndr1_0
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f26,negated_conjecture,
( ndr1_0
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f27,negated_conjecture,
( ndr1_0
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f29,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f30,negated_conjecture,
( hskp23
| hskp18
| hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f31,negated_conjecture,
( hskp11
| hskp7
| hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f34,negated_conjecture,
( hskp3
| hskp2
| hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f35,negated_conjecture,
( hskp13
| hskp11
| hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f39,negated_conjecture,
( c0_1(a232)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f40,negated_conjecture,
( c2_1(a232)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f41,negated_conjecture,
( c3_1(a232)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f42,negated_conjecture,
( c1_1(a223)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( c2_1(a223)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( c3_1(a223)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f50,negated_conjecture,
( c0_1(a259)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( c1_1(a259)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( c1_1(a252)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( c0_1(a247)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f54,negated_conjecture,
( c3_1(a247)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f57,negated_conjecture,
( c0_1(a238)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f58,negated_conjecture,
( c2_1(a238)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f61,negated_conjecture,
( c2_1(a230)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( c3_1(a230)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( c2_1(a229)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( c3_1(a229)
| ~ hskp10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( c3_1(a228)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( c0_1(a225)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( c0_1(a224)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f68,negated_conjecture,
( c3_1(a224)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( c0_1(a221)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( c1_1(a221)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( c2_1(a220)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( c3_1(a218)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( c3_1(a216)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f75,negated_conjecture,
( c1_1(a214)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( c2_1(a214)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( c1_1(a213)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( c3_1(a213)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f83,negated_conjecture,
( ~ hskp23
| ~ c0_1(a278) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( ~ hskp23
| ~ c2_1(a278) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( ~ hskp23
| ~ c3_1(a278) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f89,negated_conjecture,
( ~ hskp20
| ~ c3_1(a259) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f90,negated_conjecture,
( ~ hskp19
| ~ c2_1(a252) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f91,negated_conjecture,
( ~ hskp19
| ~ c3_1(a252) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f92,negated_conjecture,
( ~ hskp18
| ~ c2_1(a247) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f97,negated_conjecture,
( ~ hskp15
| ~ c3_1(a238) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f99,negated_conjecture,
( ~ hskp13
| ~ c1_1(a236) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ hskp13
| ~ c2_1(a236) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ hskp13
| ~ c3_1(a236) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ hskp12
| ~ c0_1(a235) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ hskp12
| ~ c1_1(a235) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ hskp12
| ~ c3_1(a235) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ hskp11
| ~ c1_1(a230) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ hskp10
| ~ c0_1(a229) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ hskp9
| ~ c1_1(a228) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ hskp9
| ~ c2_1(a228) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f109,negated_conjecture,
( ~ hskp8
| ~ c2_1(a225) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f110,negated_conjecture,
( ~ hskp8
| ~ c3_1(a225) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ hskp7
| ~ c1_1(a224) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
fof(f112,negated_conjecture,
( ~ hskp6
| ~ c2_1(a221) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ hskp5
| ~ c0_1(a220) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ hskp5
| ~ c3_1(a220) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ hskp4
| ~ c0_1(a218) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ hskp4
| ~ c1_1(a218) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ hskp3
| ~ c0_1(a216) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ hskp3
| ~ c2_1(a216) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f121,negated_conjecture,
( ~ hskp1
| ~ c0_1(a214) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ hskp0
| ~ c2_1(a213) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f124,negated_conjecture,
! [X0] :
( hskp0
| hskp8
| c3_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f126,negated_conjecture,
! [X0] :
( hskp9
| hskp1
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
! [X0] :
( hskp11
| hskp10
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
! [X0] :
( hskp0
| hskp15
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f129,negated_conjecture,
! [X0] :
( hskp27
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f137,negated_conjecture,
! [X0] :
( hskp13
| hskp20
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f140,negated_conjecture,
! [X0] :
( hskp12
| hskp0
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f141,negated_conjecture,
! [X0] :
( hskp13
| hskp4
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f143,negated_conjecture,
! [X0,X1] :
( hskp0
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f145,negated_conjecture,
! [X0,X1] :
( hskp3
| c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| c0_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
fof(f146,negated_conjecture,
! [X0,X1] :
( hskp6
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f148,negated_conjecture,
! [X0,X1] :
( hskp1
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f149,negated_conjecture,
! [X0,X1] :
( hskp5
| c1_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f150,negated_conjecture,
! [X0,X1] :
( c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f151,negated_conjecture,
! [X0,X1] :
( hskp7
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f152,negated_conjecture,
! [X0,X1] :
( hskp4
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f153,negated_conjecture,
! [X0,X1] :
( hskp27
| c3_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
fof(f155,negated_conjecture,
! [X0,X1] :
( hskp0
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f157,negated_conjecture,
! [X0,X1] :
( hskp26
| c2_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
fof(f160,negated_conjecture,
! [X0,X1] :
( hskp27
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f161,negated_conjecture,
! [X0,X1] :
( hskp13
| c0_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f163,negated_conjecture,
! [X0,X1] :
( hskp11
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f164,negated_conjecture,
! [X0,X1] :
( hskp19
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f166,negated_conjecture,
! [X0,X1] :
( hskp3
| c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f167,negated_conjecture,
! [X0,X1] :
( hskp20
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f168,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f169,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f170,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f171,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ c3_1(X2)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f172,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f173,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c3_1(X1)
| c1_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f174,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f175,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c0_1(X2)
| c3_1(X1)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f176,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
tcf(c_228,negated_conjecture,
( ndr1_0
| ~ hskp25 ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_250,negated_conjecture,
( ndr1_0
| ~ hskp3 ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_251,negated_conjecture,
( ndr1_0
| ~ hskp2 ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_253,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_254,negated_conjecture,
( hskp18
| hskp20
| hskp23 ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_255,negated_conjecture,
( hskp7
| hskp11
| hskp15 ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_258,negated_conjecture,
( hskp2
| hskp3
| hskp25 ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_259,negated_conjecture,
( hskp10
| hskp11
| hskp13 ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_263,negated_conjecture,
( c0_1(a232)
| ~ hskp27 ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_264,negated_conjecture,
( c2_1(a232)
| ~ hskp27 ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_265,negated_conjecture,
( c3_1(a232)
| ~ hskp27 ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_266,negated_conjecture,
( c1_1(a223)
| ~ hskp26 ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_267,negated_conjecture,
( c2_1(a223)
| ~ hskp26 ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_268,negated_conjecture,
( c3_1(a223)
| ~ hskp26 ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_274,negated_conjecture,
( c0_1(a259)
| ~ hskp20 ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_275,negated_conjecture,
( c1_1(a259)
| ~ hskp20 ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_276,negated_conjecture,
( c1_1(a252)
| ~ hskp19 ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_277,negated_conjecture,
( c0_1(a247)
| ~ hskp18 ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_278,negated_conjecture,
( c3_1(a247)
| ~ hskp18 ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_281,negated_conjecture,
( c0_1(a238)
| ~ hskp15 ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_282,negated_conjecture,
( c2_1(a238)
| ~ hskp15 ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_285,negated_conjecture,
( c2_1(a230)
| ~ hskp11 ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_286,negated_conjecture,
( c3_1(a230)
| ~ hskp11 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_287,negated_conjecture,
( c2_1(a229)
| ~ hskp10 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_288,negated_conjecture,
( c3_1(a229)
| ~ hskp10 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_289,negated_conjecture,
( c3_1(a228)
| ~ hskp9 ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_290,negated_conjecture,
( c0_1(a225)
| ~ hskp8 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_291,negated_conjecture,
( c0_1(a224)
| ~ hskp7 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_292,negated_conjecture,
( c3_1(a224)
| ~ hskp7 ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_293,negated_conjecture,
( c0_1(a221)
| ~ hskp6 ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_294,negated_conjecture,
( c1_1(a221)
| ~ hskp6 ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_295,negated_conjecture,
( c2_1(a220)
| ~ hskp5 ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_296,negated_conjecture,
( c3_1(a218)
| ~ hskp4 ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_297,negated_conjecture,
( c3_1(a216)
| ~ hskp3 ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_299,negated_conjecture,
( c1_1(a214)
| ~ hskp1 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_300,negated_conjecture,
( c2_1(a214)
| ~ hskp1 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_301,negated_conjecture,
( c1_1(a213)
| ~ hskp0 ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_302,negated_conjecture,
( c3_1(a213)
| ~ hskp0 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_307,negated_conjecture,
( ~ hskp23
| ~ c0_1(a278) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_308,negated_conjecture,
( ~ hskp23
| ~ c2_1(a278) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_309,negated_conjecture,
( ~ hskp23
| ~ c3_1(a278) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_313,negated_conjecture,
( ~ hskp20
| ~ c3_1(a259) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_314,negated_conjecture,
( ~ hskp19
| ~ c2_1(a252) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_315,negated_conjecture,
( ~ hskp19
| ~ c3_1(a252) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_316,negated_conjecture,
( ~ hskp18
| ~ c2_1(a247) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_321,negated_conjecture,
( ~ hskp15
| ~ c3_1(a238) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_323,negated_conjecture,
( ~ hskp13
| ~ c1_1(a236) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_324,negated_conjecture,
( ~ hskp13
| ~ c2_1(a236) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_325,negated_conjecture,
( ~ hskp13
| ~ c3_1(a236) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_326,negated_conjecture,
( ~ hskp12
| ~ c0_1(a235) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_327,negated_conjecture,
( ~ hskp12
| ~ c1_1(a235) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_328,negated_conjecture,
( ~ hskp12
| ~ c3_1(a235) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_329,negated_conjecture,
( ~ hskp11
| ~ c1_1(a230) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_330,negated_conjecture,
( ~ hskp10
| ~ c0_1(a229) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_331,negated_conjecture,
( ~ hskp9
| ~ c1_1(a228) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_332,negated_conjecture,
( ~ hskp9
| ~ c2_1(a228) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_333,negated_conjecture,
( ~ hskp8
| ~ c2_1(a225) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_334,negated_conjecture,
( ~ hskp8
| ~ c3_1(a225) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_335,negated_conjecture,
( ~ hskp7
| ~ c1_1(a224) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_336,negated_conjecture,
( ~ hskp6
| ~ c2_1(a221) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_337,negated_conjecture,
( ~ hskp5
| ~ c0_1(a220) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_338,negated_conjecture,
( ~ hskp5
| ~ c3_1(a220) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_339,negated_conjecture,
( ~ hskp4
| ~ c0_1(a218) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_340,negated_conjecture,
( ~ hskp4
| ~ c1_1(a218) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_341,negated_conjecture,
( ~ hskp3
| ~ c0_1(a216) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_342,negated_conjecture,
( ~ hskp3
| ~ c2_1(a216) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_345,negated_conjecture,
( ~ hskp1
| ~ c0_1(a214) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_346,negated_conjecture,
( ~ hskp0
| ~ c2_1(a213) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_348,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp8
| c3_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_350,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp9
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_351,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp11
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_352,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp15
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_353,negated_conjecture,
! [X0: $i] :
( hskp27
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_361,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp20
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_364,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp12
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_365,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp13
| c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_367,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_369,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_370,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_372,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_373,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_374,negated_conjecture,
! [X0: $i,X1: $i] :
( c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_375,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_376,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_377,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_379,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_381,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp26
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_384,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c3_1(X0)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_385,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c1_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_387,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_388,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp19
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_390,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_391,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp20
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_392,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_393,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_394,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_395,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X0)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_396,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_397,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c1_1(X2)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_398,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_399,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_400,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c1_1(X0)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_405,plain,
( hskp10
| hskp11
| c2_1(a213)
| c0_1(a213)
| ~ ndr1_0
| ~ c1_1(a213) ),
inference(instantiation,[status(thm)],[c_351]) ).
tcf(c_412,plain,
( hskp13
| hskp20
| c2_1(a213)
| ~ ndr1_0
| ~ c3_1(a213)
| ~ c1_1(a213) ),
inference(instantiation,[status(thm)],[c_361]) ).
tcf(c_424,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_253,c_258,c_251,c_250,c_228]) ).
tcf(c_482,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp8
| c3_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_348,c_258,c_251,c_250,c_228,c_348]) ).
tcf(c_488,plain,
! [X0: $i] :
( hskp27
| c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_353,c_258,c_251,c_250,c_228,c_353]) ).
tcf(c_489,negated_conjecture,
! [X0: $i] :
( hskp27
| c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_488]) ).
tcf(c_491,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp15
| c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_352,c_258,c_251,c_250,c_228,c_352]) ).
tcf(c_494,negated_conjecture,
! [X0: $i] :
( hskp10
| hskp11
| c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_351,c_258,c_251,c_250,c_228,c_351]) ).
tcf(c_497,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp9
| c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_350,c_258,c_251,c_250,c_228,c_350]) ).
tcf(c_503,plain,
! [X0: $i] :
( hskp4
| hskp13
| c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_365,c_258,c_251,c_250,c_228,c_365]) ).
tcf(c_504,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp13
| c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_503]) ).
tcf(c_506,plain,
! [X0: $i] :
( hskp0
| hskp12
| c3_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_364,c_258,c_251,c_250,c_228,c_364]) ).
tcf(c_507,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp12
| c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_506]) ).
tcf(c_515,plain,
! [X0: $i] :
( hskp13
| hskp20
| c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_361,c_258,c_251,c_250,c_228,c_361]) ).
tcf(c_516,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp20
| c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_515]) ).
tcf(c_542,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_367,c_258,c_251,c_250,c_228,c_367]) ).
tcf(c_546,plain,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_370,c_258,c_251,c_250,c_228,c_370]) ).
tcf(c_547,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_546]) ).
tcf(c_548,plain,
! [X0: $i,X1: $i] :
( hskp3
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_369,c_258,c_251,c_250,c_228,c_369]) ).
tcf(c_549,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_548]) ).
tcf(c_552,plain,
! [X0: $i,X1: $i] :
( hskp27
| c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0)
| c1_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_384,c_258,c_251,c_250,c_228,c_353,c_384]) ).
tcf(c_553,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c3_1(X0)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_552]) ).
tcf(c_558,plain,
! [X0: $i,X1: $i] :
( hskp26
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_381,c_258,c_251,c_250,c_228,c_381]) ).
tcf(c_559,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp26
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_558]) ).
tcf(c_562,plain,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_379,c_258,c_251,c_250,c_228,c_379]) ).
tcf(c_563,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_562]) ).
tcf(c_566,plain,
! [X0: $i,X1: $i] :
( hskp27
| c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_377,c_258,c_251,c_250,c_228,c_377]) ).
tcf(c_567,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c3_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_566]) ).
tcf(c_568,plain,
! [X0: $i,X1: $i] :
( hskp4
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_376,c_258,c_251,c_250,c_228,c_376]) ).
tcf(c_569,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c3_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_568]) ).
tcf(c_571,plain,
! [X0: $i,X1: $i] :
( hskp7
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_375,c_258,c_251,c_250,c_228,c_375]) ).
tcf(c_572,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_571]) ).
tcf(c_573,plain,
! [X0: $i,X1: $i] :
( c1_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_374,c_258,c_251,c_250,c_228,c_374]) ).
tcf(c_574,negated_conjecture,
! [X0: $i,X1: $i] :
( c1_1(X1)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_573]) ).
tcf(c_575,plain,
! [X0: $i,X1: $i] :
( hskp5
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_373,c_258,c_251,c_250,c_228,c_373]) ).
tcf(c_576,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_575]) ).
tcf(c_577,plain,
! [X0: $i,X1: $i] :
( hskp1
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_372,c_258,c_251,c_250,c_228,c_372]) ).
tcf(c_578,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_577]) ).
tcf(c_579,plain,
! [X0: $i,X1: $i] :
( hskp19
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_388,c_258,c_251,c_250,c_228,c_388]) ).
tcf(c_580,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp19
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_579]) ).
tcf(c_582,plain,
! [X0: $i,X1: $i] :
( hskp11
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_387,c_258,c_251,c_250,c_228,c_387]) ).
tcf(c_583,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c2_1(X1)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_582]) ).
tcf(c_586,plain,
! [X0: $i,X1: $i] :
( hskp13
| c1_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_385,c_258,c_251,c_250,c_228,c_385]) ).
tcf(c_587,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c1_1(X1)
| c0_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_586]) ).
tcf(c_588,plain,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_390,c_258,c_251,c_250,c_228,c_390]) ).
tcf(c_589,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_588]) ).
tcf(c_592,plain,
! [X0: $i,X1: $i] :
( hskp20
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_391,c_258,c_251,c_250,c_228,c_391]) ).
tcf(c_593,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp20
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_592]) ).
tcf(c_595,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c1_1(X2)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_397,c_258,c_251,c_250,c_228,c_397]) ).
tcf(c_596,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X0)
| c1_1(X2)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_595]) ).
tcf(c_597,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_396,c_258,c_251,c_250,c_228,c_396]) ).
tcf(c_598,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_597]) ).
tcf(c_599,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X0)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_395,c_258,c_251,c_250,c_228,c_395]) ).
tcf(c_600,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X0)
| c0_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_599]) ).
tcf(c_601,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_394,c_394,c_424]) ).
tcf(c_602,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_601]) ).
tcf(c_603,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_393,c_258,c_251,c_250,c_228,c_393]) ).
tcf(c_604,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_603]) ).
tcf(c_605,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_392,c_258,c_251,c_250,c_228,c_392]) ).
tcf(c_606,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_605]) ).
tcf(c_607,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_398,c_258,c_251,c_250,c_228,c_398]) ).
tcf(c_608,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_607]) ).
tcf(c_609,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c1_1(X0)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_400,c_258,c_251,c_250,c_228,c_400]) ).
tcf(c_610,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c1_1(X0)
| c0_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_609]) ).
tcf(c_611,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_399,c_258,c_251,c_250,c_228,c_399]) ).
tcf(c_612,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c0_1(X2)
| ~ c2_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_611]) ).
tcf(c_1004,plain,
! [X0: $i,X1: $i] :
( hskp27
| c3_1(X1)
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_567,c_489]) ).
tcf(c_2030,plain,
( hskp18
| hskp20
| ~ c0_1(a278) ),
inference(resolution,[status(thm)],[c_254,c_307]) ).
tcf(c_2406,plain,
( hskp11
| hskp15
| ~ c1_1(a224) ),
inference(resolution,[status(thm)],[c_255,c_335]) ).
tcf(c_2416,plain,
( hskp11
| hskp15
| c3_1(a224) ),
inference(resolution,[status(thm)],[c_255,c_292]) ).
tcf(c_2426,plain,
( hskp11
| hskp15
| c0_1(a224) ),
inference(resolution,[status(thm)],[c_255,c_291]) ).
tcf(c_2883,plain,
! [X0: $i] :
( hskp1
| c2_1(X0)
| c0_1(X0)
| ~ c2_1(a228)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_497,c_332]) ).
tcf(c_2884,plain,
( hskp1
| c2_1(a213)
| c0_1(a213)
| ~ c2_1(a228)
| ~ c1_1(a213) ),
inference(instantiation,[status(thm)],[c_2883]) ).
tcf(c_2900,plain,
! [X0: $i] :
( hskp1
| c2_1(X0)
| c0_1(X0)
| ~ c1_1(a228)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_497,c_331]) ).
tcf(c_2901,plain,
( hskp1
| c2_1(a213)
| c0_1(a213)
| ~ c1_1(a213)
| ~ c1_1(a228) ),
inference(instantiation,[status(thm)],[c_2900]) ).
tcf(c_2917,plain,
! [X0: $i] :
( hskp1
| c3_1(a228)
| c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_497,c_289]) ).
tcf(c_2918,plain,
( hskp1
| c3_1(a228)
| c2_1(a213)
| c0_1(a213)
| ~ c1_1(a213) ),
inference(instantiation,[status(thm)],[c_2917]) ).
tcf(c_4176,plain,
! [X0: $i] :
( hskp10
| c2_1(X0)
| c0_1(X0)
| ~ c1_1(a230)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_494,c_329]) ).
tcf(c_4177,plain,
( hskp10
| c2_1(a213)
| c0_1(a213)
| ~ c1_1(a213)
| ~ c1_1(a230) ),
inference(instantiation,[status(thm)],[c_4176]) ).
tcf(c_4193,plain,
! [X0: $i] :
( hskp10
| c3_1(a230)
| c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_494,c_286]) ).
tcf(c_4194,plain,
( hskp10
| c3_1(a230)
| c2_1(a213)
| c0_1(a213)
| ~ c1_1(a213) ),
inference(instantiation,[status(thm)],[c_4193]) ).
tcf(c_4210,plain,
! [X0: $i] :
( hskp10
| c2_1(a230)
| c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_494,c_285]) ).
tcf(c_4211,plain,
( hskp10
| c2_1(a213)
| c2_1(a230)
| c0_1(a213)
| ~ c1_1(a213) ),
inference(instantiation,[status(thm)],[c_4210]) ).
tcf(c_5250,plain,
( hskp18
| hskp23
| ~ c3_1(a259) ),
inference(resolution,[status(thm)],[c_254,c_313]) ).
tcf(c_5270,plain,
( hskp18
| hskp23
| c0_1(a259) ),
inference(resolution,[status(thm)],[c_254,c_274]) ).
tcf(c_6309,plain,
( hskp11
| hskp13
| ~ c0_1(a229) ),
inference(resolution,[status(thm)],[c_259,c_330]) ).
tcf(c_6319,plain,
( hskp11
| hskp13
| c3_1(a229) ),
inference(resolution,[status(thm)],[c_259,c_288]) ).
tcf(c_6329,plain,
( hskp11
| hskp13
| c2_1(a229) ),
inference(resolution,[status(thm)],[c_259,c_287]) ).
tcf(c_13884,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_1004]) ).
tcf(c_13886,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_612]) ).
tcf(c_13887,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_612]) ).
tcf(c_13888,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_612]) ).
tcf(c_13889,negated_conjecture,
( iPr_def_14
| iPr_def_13
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_612]) ).
tcf(c_13890,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_15
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_610]) ).
tcf(c_13891,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_610]) ).
tcf(c_13892,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_610]) ).
tcf(c_13893,negated_conjecture,
( iPr_def_17
| iPr_def_16
| iPr_def_15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_610]) ).
tcf(c_13894,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_608]) ).
tcf(c_13897,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_606]) ).
tcf(c_13898,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_606]) ).
tcf(c_13899,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_22
| ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_606]) ).
tcf(c_13900,negated_conjecture,
( iPr_def_22
| iPr_def_21
| iPr_def_20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_606]) ).
tcf(c_13901,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_23
| c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_604]) ).
tcf(c_13902,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_604]) ).
tcf(c_13904,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_602]) ).
tcf(c_13905,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_26
| c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_602]) ).
tcf(c_13906,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_602]) ).
tcf(c_13907,negated_conjecture,
( iPr_def_27
| iPr_def_26
| iPr_def_25 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_602]) ).
tcf(c_13908,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_600]) ).
tcf(c_13910,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_598]) ).
tcf(c_13911,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_30
| ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_598]) ).
tcf(c_13912,negated_conjecture,
( iPr_def_30
| iPr_def_29
| iPr_def_28 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_598]) ).
tcf(c_13913,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_596]) ).
tcf(c_13916,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_593]) ).
tcf(c_13917,negated_conjecture,
( iPr_def_33
| iPr_def_14
| hskp20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_593]) ).
tcf(c_13919,negated_conjecture,
( iPr_def_33
| iPr_def_12
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_589]) ).
tcf(c_13920,negated_conjecture,
( iPr_def_29
| iPr_def_18
| hskp13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_587]) ).
tcf(c_13923,negated_conjecture,
( iPr_def_27
| iPr_def_17
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_583]) ).
tcf(c_13924,negated_conjecture,
( iPr_def_29
| iPr_def_11
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_580]) ).
tcf(c_13925,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_35
| c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_578]) ).
tcf(c_13926,negated_conjecture,
( iPr_def_35
| iPr_def_15
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_578]) ).
tcf(c_13927,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_36
| ~ c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_576]) ).
tcf(c_13928,negated_conjecture,
( iPr_def_36
| iPr_def_23
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_576]) ).
tcf(c_13929,negated_conjecture,
( iPr_def_33
| iPr_def_23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_574]) ).
tcf(c_13930,negated_conjecture,
( iPr_def_33
| iPr_def_26
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_572]) ).
tcf(c_13931,negated_conjecture,
( iPr_def_31
| iPr_def_13
| hskp4 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_569]) ).
tcf(c_13933,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_37
| c1_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_563]) ).
tcf(c_13934,negated_conjecture,
( iPr_def_37
| iPr_def_27
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_563]) ).
tcf(c_13936,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_38
| c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_559]) ).
tcf(c_13937,negated_conjecture,
( iPr_def_38
| iPr_def_24
| hskp26 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_559]) ).
tcf(c_13940,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_39
| ~ c0_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_553]) ).
tcf(c_13941,negated_conjecture,
( iPr_def_39
| iPr_def_29
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_553]) ).
tcf(c_13943,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_40
| c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_549]) ).
tcf(c_13945,negated_conjecture,
( iPr_def_26
| iPr_def_16
| hskp6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_547]) ).
tcf(c_13948,negated_conjecture,
( iPr_def_30
| iPr_def_26
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_542]) ).
tcf(c_13957,negated_conjecture,
( iPr_def_24
| hskp13
| hskp20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_516]) ).
tcf(c_13960,negated_conjecture,
( iPr_def_12
| hskp0
| hskp12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_507]) ).
tcf(c_13961,negated_conjecture,
( iPr_def_12
| hskp4
| hskp13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_504]) ).
tcf(c_13963,negated_conjecture,
( iPr_def_40
| hskp1
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_497]) ).
tcf(c_13965,negated_conjecture,
( iPr_def_30
| hskp0
| hskp15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_491]) ).
tcf(c_13967,negated_conjecture,
( iPr_def_26
| hskp0
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_482]) ).
tcf(c_13980,plain,
( c2_1(a213)
| c0_1(a213)
| ~ iPr_def_28
| ~ c3_1(a213) ),
inference(instantiation,[status(thm)],[c_13908]) ).
tcf(c_13988,plain,
( c0_1(a213)
| ~ iPr_def_18
| ~ c3_1(a213)
| ~ c1_1(a213) ),
inference(instantiation,[status(thm)],[c_13894]) ).
tcf(c_13990,plain,
( c2_1(a213)
| ~ iPr_def_24
| ~ c3_1(a213)
| ~ c1_1(a213) ),
inference(instantiation,[status(thm)],[c_13902]) ).
tcf(c_13999,plain,
( ~ iPr_def_33
| ~ c3_1(a213)
| ~ c1_1(a213)
| ~ c0_1(a213) ),
inference(instantiation,[status(thm)],[c_13916]) ).
tcf(c_14000,plain,
( ~ iPr_def_14
| ~ c2_1(a232)
| ~ c1_1(a232)
| ~ c0_1(a232) ),
inference(instantiation,[status(thm)],[c_13888]) ).
tcf(c_14006,plain,
( ~ iPr_def_15
| ~ c3_1(a232)
| ~ c2_1(a232)
| ~ c1_1(a232) ),
inference(instantiation,[status(thm)],[c_13890]) ).
tcf(c_14007,plain,
( ~ iPr_def_15
| ~ c3_1(a223)
| ~ c2_1(a223)
| ~ c1_1(a223) ),
inference(instantiation,[status(thm)],[c_13890]) ).
tcf(c_14009,plain,
( ~ iPr_def_15
| ~ c3_1(a229)
| ~ c2_1(a229)
| ~ c1_1(a229) ),
inference(instantiation,[status(thm)],[c_13890]) ).
tcf(c_14015,plain,
( c3_1(a235)
| c1_1(a235)
| ~ iPr_def_21
| ~ c2_1(a235) ),
inference(instantiation,[status(thm)],[c_13898]) ).
tcf(c_14024,plain,
( c1_1(a218)
| c0_1(a218)
| ~ iPr_def_23
| ~ c3_1(a218) ),
inference(instantiation,[status(thm)],[c_13901]) ).
tcf(c_14026,plain,
( c3_1(a278)
| c2_1(a278)
| c0_1(a278)
| ~ iPr_def_26 ),
inference(instantiation,[status(thm)],[c_13905]) ).
tcf(c_14027,plain,
( c3_1(a252)
| c2_1(a252)
| c0_1(a252)
| ~ iPr_def_26 ),
inference(instantiation,[status(thm)],[c_13905]) ).
tcf(c_14029,plain,
( c3_1(a236)
| c2_1(a236)
| c0_1(a236)
| ~ iPr_def_26 ),
inference(instantiation,[status(thm)],[c_13905]) ).
tcf(c_14033,plain,
( ~ iPr_def_27
| ~ c3_1(a232)
| ~ c2_1(a232)
| ~ c0_1(a232) ),
inference(instantiation,[status(thm)],[c_13906]) ).
tcf(c_14045,plain,
( c2_1(a218)
| c0_1(a218)
| ~ iPr_def_28
| ~ c3_1(a218) ),
inference(instantiation,[status(thm)],[c_13908]) ).
tcf(c_14046,plain,
( c2_1(a216)
| c0_1(a216)
| ~ iPr_def_28
| ~ c3_1(a216) ),
inference(instantiation,[status(thm)],[c_13908]) ).
tcf(c_14061,plain,
( c3_1(a236)
| c1_1(a236)
| c0_1(a236)
| ~ iPr_def_35 ),
inference(instantiation,[status(thm)],[c_13925]) ).
tcf(c_14074,plain,
( c2_1(a224)
| c1_1(a224)
| ~ iPr_def_17
| ~ c0_1(a224) ),
inference(instantiation,[status(thm)],[c_13892]) ).
tcf(c_14076,plain,
( c3_1(a235)
| c2_1(a235)
| c0_1(a235)
| ~ iPr_def_26 ),
inference(instantiation,[status(thm)],[c_13905]) ).
tcf(c_14088,plain,
( ~ iPr_def_33
| ~ c3_1(a232)
| ~ c1_1(a232)
| ~ c0_1(a232) ),
inference(instantiation,[status(thm)],[c_13916]) ).
tcf(c_14106,plain,
( c2_1(a236)
| c1_1(a236)
| ~ iPr_def_17
| ~ c0_1(a236) ),
inference(instantiation,[status(thm)],[c_13892]) ).
tcf(c_14120,plain,
( c3_1(a236)
| c2_1(a236)
| c1_1(a236)
| ~ iPr_def_37 ),
inference(instantiation,[status(thm)],[c_13933]) ).
tcf(c_14131,plain,
( c1_1(a224)
| ~ iPr_def_29
| ~ c3_1(a224)
| ~ c2_1(a224) ),
inference(instantiation,[status(thm)],[c_13910]) ).
tcf(c_14134,plain,
( c1_1(a232)
| ~ iPr_def_29
| ~ c3_1(a232)
| ~ c2_1(a232) ),
inference(instantiation,[status(thm)],[c_13910]) ).
tcf(c_14136,plain,
( ~ iPr_def_33
| ~ c3_1(a221)
| ~ c1_1(a221)
| ~ c0_1(a221) ),
inference(instantiation,[status(thm)],[c_13916]) ).
tcf(c_14164,plain,
( hskp27
| c3_1(a238)
| ~ c2_1(a238)
| ~ c0_1(a238) ),
inference(instantiation,[status(thm)],[c_489]) ).
tcf(c_14171,plain,
( c3_1(a259)
| ~ iPr_def_39
| ~ c0_1(a259) ),
inference(instantiation,[status(thm)],[c_13940]) ).
tcf(c_14177,plain,
( c3_1(a236)
| ~ iPr_def_39
| ~ c0_1(a236) ),
inference(instantiation,[status(thm)],[c_13940]) ).
tcf(c_14178,plain,
( c3_1(a252)
| ~ iPr_def_39
| ~ c0_1(a252) ),
inference(instantiation,[status(thm)],[c_13940]) ).
tcf(c_14183,plain,
( c3_1(a225)
| c2_1(a225)
| ~ iPr_def_30
| ~ c0_1(a225) ),
inference(instantiation,[status(thm)],[c_13911]) ).
tcf(c_14185,plain,
( c3_1(a221)
| c2_1(a221)
| ~ iPr_def_30
| ~ c0_1(a221) ),
inference(instantiation,[status(thm)],[c_13911]) ).
tcf(c_14186,plain,
( c3_1(a236)
| c2_1(a236)
| ~ iPr_def_30
| ~ c0_1(a236) ),
inference(instantiation,[status(thm)],[c_13911]) ).
tcf(c_14187,plain,
( c3_1(a252)
| c2_1(a252)
| ~ iPr_def_30
| ~ c0_1(a252) ),
inference(instantiation,[status(thm)],[c_13911]) ).
tcf(c_14189,plain,
( c3_1(a259)
| ~ iPr_def_12
| ~ c1_1(a259)
| ~ c0_1(a259) ),
inference(instantiation,[status(thm)],[c_13886]) ).
tcf(c_14194,plain,
( c3_1(a221)
| ~ iPr_def_12
| ~ c1_1(a221)
| ~ c0_1(a221) ),
inference(instantiation,[status(thm)],[c_13886]) ).
tcf(c_14196,plain,
( c3_1(a252)
| ~ iPr_def_12
| ~ c1_1(a252)
| ~ c0_1(a252) ),
inference(instantiation,[status(thm)],[c_13886]) ).
tcf(c_14221,plain,
( c2_1(a247)
| ~ iPr_def_24
| ~ c3_1(a247)
| ~ c1_1(a247) ),
inference(instantiation,[status(thm)],[c_13902]) ).
tcf(c_14245,plain,
( c0_1(a223)
| ~ iPr_def_16
| ~ c3_1(a223)
| ~ c2_1(a223) ),
inference(instantiation,[status(thm)],[c_13891]) ).
tcf(c_14247,plain,
( c0_1(a229)
| ~ iPr_def_16
| ~ c3_1(a229)
| ~ c2_1(a229) ),
inference(instantiation,[status(thm)],[c_13891]) ).
tcf(c_14266,plain,
( c1_1(a224)
| ~ iPr_def_11
| ~ c3_1(a224)
| ~ c0_1(a224) ),
inference(instantiation,[status(thm)],[c_13884]) ).
tcf(c_14277,plain,
( c1_1(a247)
| ~ iPr_def_11
| ~ c3_1(a247)
| ~ c0_1(a247) ),
inference(instantiation,[status(thm)],[c_13884]) ).
tcf(c_14310,plain,
( ~ iPr_def_27
| ~ c3_1(a223)
| ~ c2_1(a223)
| ~ c0_1(a223) ),
inference(instantiation,[status(thm)],[c_13906]) ).
tcf(c_14311,plain,
( ~ iPr_def_14
| ~ c2_1(a223)
| ~ c1_1(a223)
| ~ c0_1(a223) ),
inference(instantiation,[status(thm)],[c_13888]) ).
tcf(c_14319,plain,
( c1_1(a229)
| ~ iPr_def_29
| ~ c3_1(a229)
| ~ c2_1(a229) ),
inference(instantiation,[status(thm)],[c_13910]) ).
tcf(c_14479,plain,
( c0_1(a230)
| ~ iPr_def_16
| ~ c3_1(a230)
| ~ c2_1(a230) ),
inference(instantiation,[status(thm)],[c_13891]) ).
tcf(c_14535,plain,
( c1_1(a230)
| ~ iPr_def_29
| ~ c3_1(a230)
| ~ c2_1(a230) ),
inference(instantiation,[status(thm)],[c_13910]) ).
tcf(c_14752,plain,
( c1_1(a232)
| ~ iPr_def_11
| ~ c3_1(a232)
| ~ c0_1(a232) ),
inference(instantiation,[status(thm)],[c_13884]) ).
tcf(c_14756,plain,
( c1_1(a230)
| ~ iPr_def_11
| ~ c3_1(a230)
| ~ c0_1(a230) ),
inference(instantiation,[status(thm)],[c_13884]) ).
tcf(c_14929,plain,
( c3_1(a252)
| c0_1(a252)
| ~ iPr_def_13
| ~ c1_1(a252) ),
inference(instantiation,[status(thm)],[c_13887]) ).
tcf(c_14935,plain,
( c2_1(a252)
| ~ iPr_def_22
| ~ c1_1(a252)
| ~ c0_1(a252) ),
inference(instantiation,[status(thm)],[c_13899]) ).
tcf(c_14969,plain,
( c2_1(a252)
| c0_1(a252)
| ~ iPr_def_40
| ~ c1_1(a252) ),
inference(instantiation,[status(thm)],[c_13943]) ).
tcf(c_15036,plain,
( c1_1(a218)
| c0_1(a218)
| ~ iPr_def_20
| ~ c2_1(a218) ),
inference(instantiation,[status(thm)],[c_13897]) ).
tcf(c_15078,plain,
( c3_1(a220)
| c0_1(a220)
| ~ iPr_def_25
| ~ c2_1(a220) ),
inference(instantiation,[status(thm)],[c_13904]) ).
tcf(c_15161,plain,
( c0_1(a214)
| ~ iPr_def_31
| ~ c2_1(a214)
| ~ c1_1(a214) ),
inference(instantiation,[status(thm)],[c_13913]) ).
tcf(c_15167,plain,
( c1_1(a230)
| ~ iPr_def_36
| ~ c2_1(a230)
| ~ c0_1(a230) ),
inference(instantiation,[status(thm)],[c_13927]) ).
tcf(c_15173,plain,
( c2_1(a228)
| c1_1(a228)
| ~ iPr_def_38
| ~ c3_1(a228) ),
inference(instantiation,[status(thm)],[c_13936]) ).
tcf(c_15174,plain,
( c2_1(a224)
| c1_1(a224)
| ~ iPr_def_38
| ~ c3_1(a224) ),
inference(instantiation,[status(thm)],[c_13936]) ).
tcf(c_15179,plain,
( ~ iPr_def_27
| ~ c3_1(a230)
| ~ c2_1(a230)
| ~ c0_1(a230) ),
inference(instantiation,[status(thm)],[c_13906]) ).
tcf(c_15279,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_15179,c_15174,c_15173,c_15167,c_15161,c_15078,c_15036,c_14969,c_14929,c_14935,c_14756,c_14752,c_14535,c_14479,c_14319,c_14310,c_14311,c_14277,c_14266,c_14247,c_14245,c_14221,c_14196,c_14194,c_14189,c_14187,c_14186,c_14185,c_14183,c_14178,c_14177,c_14171,c_14164,c_14136,c_14134,c_14131,c_14120,c_14106,c_14088,c_14076,c_14074,c_14061,c_14046,c_14045,c_14033,c_14029,c_14027,c_14026,c_14024,c_14015,c_14009,c_14007,c_14006,c_14000,c_13999,c_13990,c_13988,c_13980,c_13967,c_13965,c_13963,c_13961,c_13960,c_13957,c_13948,c_13945,c_13941,c_13937,c_13934,c_13931,c_13930,c_13928,c_13926,c_13924,c_13923,c_13920,c_13919,c_13917,c_13912,c_13907,c_13900,c_13893,c_13889,c_13929,c_6329,c_6319,c_6309,c_5270,c_5250,c_4211,c_4194,c_4177,c_2918,c_2901,c_2884,c_2426,c_2416,c_2406,c_2030,c_424,c_412,c_405,c_307,c_308,c_309,c_313,c_314,c_315,c_316,c_321,c_323,c_324,c_325,c_326,c_327,c_328,c_329,c_330,c_331,c_332,c_333,c_334,c_335,c_336,c_337,c_338,c_339,c_340,c_341,c_342,c_345,c_346,c_263,c_264,c_265,c_266,c_267,c_268,c_274,c_275,c_276,c_277,c_278,c_281,c_282,c_285,c_286,c_287,c_288,c_289,c_290,c_291,c_292,c_293,c_294,c_295,c_296,c_297,c_299,c_300,c_301,c_302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN444-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 01:14:50 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running EPR theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 4.68/1.22 % SZS status Started for theBenchmark.p
% 4.68/1.22 % SZS status Unsatisfiable for theBenchmark.p
% 4.68/1.22
% 4.68/1.22 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.68/1.22
% 4.68/1.22 % ------ iProver source info
% 4.68/1.22
% 4.68/1.22 % git: date: 2026-07-19 20:42:38 +0200
% 4.68/1.22 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.68/1.22 % git: non_committed_changes: false
% 4.68/1.22
% 4.68/1.22 % ------ Parsing...% successful
% 4.68/1.22
% 4.68/1.22
% 4.68/1.22 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.68/1.22 %
% 4.68/1.22
% 4.68/1.22 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.68/1.22
% 4.68/1.22 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 4.68/1.22 gs_s sp: 96 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.68/1.22 % ------ Proving...
% 4.68/1.22 % ------ Problem Properties
% 4.68/1.22
% 4.68/1.22 %
% 4.68/1.22 % clauses 177
% 4.68/1.22 % conjectures 168
% 4.68/1.22 % EPR 177
% 4.68/1.22 % Horn 98
% 4.68/1.22 % unary 0
% 4.68/1.22 % binary 82
% 4.68/1.23 % lits 480
% 4.68/1.23 % lits eq 0
% 4.68/1.23 % fd_pure 0
% 4.68/1.23 % fd_pseudo 0
% 4.68/1.23 % fd_cond 0
% 4.68/1.23 % fd_pseudo_cond 0
% 4.68/1.23 % AC symbols 0
% 4.68/1.23
% 4.68/1.23 % ------ Schedule EPR non Horn non eq is on
% 4.68/1.23
% 4.68/1.23 % ------ no equalities: superposition off
% 4.68/1.23
% 4.68/1.23 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.68/1.23
% 4.68/1.23
% 4.68/1.23 % ------
% 4.68/1.23 % Current options:
% 4.68/1.23 % ------
% 4.68/1.23
% 4.68/1.23
% 4.68/1.23 %
% 4.68/1.23
% 4.68/1.23 % ------ Proving...
% 4.68/1.23 %
% 4.68/1.23
% 4.68/1.23 % SZS status Unsatisfiable for theBenchmark.p
% 4.68/1.23
% 4.68/1.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.68/1.23
% 4.68/1.23
%------------------------------------------------------------------------------