%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN452-1 : 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 : n007.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 03:40:17 PM UTC 2026
% Result : Unsatisfiable 3.33s 1.04s
% Output : CNFRefutation 3.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 101
% Syntax : Number of formulae : 418 ( 2 unt; 0 def)
% Number of atoms : 1816 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 2302 ( 904 ~;1398 |; 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 : 54 ( 53 usr; 50 prp; 0-1 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 288 ( 0 sgn 288 !; 0 ?; 220 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( hskp24
| hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f18,negated_conjecture,
( ndr1_0
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
fof(f24,negated_conjecture,
( ndr1_0
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
fof(f26,negated_conjecture,
( ndr1_0
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f31,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f34,negated_conjecture,
( hskp9
| hskp18
| hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f37,negated_conjecture,
( hskp13
| hskp5
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f39,negated_conjecture,
( c1_1(a865)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f40,negated_conjecture,
( c2_1(a865)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f41,negated_conjecture,
( c3_1(a865)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f45,negated_conjecture,
( c0_1(a826)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f46,negated_conjecture,
( c2_1(a826)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( c3_1(a826)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f53,negated_conjecture,
( c1_1(a878)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f54,negated_conjecture,
( c0_1(a862)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f55,negated_conjecture,
( c3_1(a862)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f56,negated_conjecture,
( c0_1(a857)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f57,negated_conjecture,
( c3_1(a856)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f58,negated_conjecture,
( c1_1(a854)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f63,negated_conjecture,
( c0_1(a842)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( c1_1(a842)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( c1_1(a839)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( c3_1(a839)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f73,negated_conjecture,
( c3_1(a831)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( c0_1(a828)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( c1_1(a827)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( c2_1(a827)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( c1_1(a825)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( c3_1(a825)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( c2_1(a821)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( c0_1(a820)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( c2_1(a817)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( c0_1(a816)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f83,negated_conjecture,
( c3_1(a816)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f84,negated_conjecture,
( c0_1(a815)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f85,negated_conjecture,
( c1_1(a815)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f87,negated_conjecture,
( ~ hskp24
| ~ c0_1(a878) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( ~ hskp24
| ~ c3_1(a878) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f89,negated_conjecture,
( ~ hskp23
| ~ c1_1(a862) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f90,negated_conjecture,
( ~ hskp22
| ~ c0_1(a860) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f91,negated_conjecture,
( ~ hskp22
| ~ c1_1(a860) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f92,negated_conjecture,
( ~ hskp22
| ~ c2_1(a860) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f93,negated_conjecture,
( ~ hskp21
| ~ c2_1(a857) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f94,negated_conjecture,
( ~ hskp21
| ~ c3_1(a857) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f95,negated_conjecture,
( ~ hskp20
| ~ c1_1(a856) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f96,negated_conjecture,
( ~ hskp20
| ~ c2_1(a856) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f100,negated_conjecture,
( ~ hskp18
| ~ c0_1(a854) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ hskp18
| ~ c2_1(a854) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f107,negated_conjecture,
( ~ hskp14
| ~ c2_1(a842) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ hskp13
| ~ c2_1(a839) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f112,negated_conjecture,
( ~ hskp9
| ~ c0_1(a831) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ hskp9
| ~ c1_1(a831) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ hskp8
| ~ c0_1(a830) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ hskp8
| ~ c2_1(a830) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ hskp8
| ~ c3_1(a830) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ hskp7
| ~ c1_1(a828) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ hskp7
| ~ c2_1(a828) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ hskp6
| ~ c0_1(a827) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ hskp5
| ~ c0_1(a825) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ hskp4
| ~ c0_1(a821) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ hskp4
| ~ c1_1(a821) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ hskp3
| ~ c1_1(a820) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
( ~ hskp3
| ~ c3_1(a820) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ hskp2
| ~ c0_1(a817) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ hskp2
| ~ c3_1(a817) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ hskp1
| ~ c2_1(a816) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ hskp0
| ~ c3_1(a815) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f129,negated_conjecture,
! [X0] :
( hskp27
| c3_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f131,negated_conjecture,
! [X0] :
( hskp6
| hskp27
| c3_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f132,negated_conjecture,
! [X0] :
( hskp4
| hskp7
| c3_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f139,negated_conjecture,
! [X0] :
( hskp22
| hskp1
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f140,negated_conjecture,
! [X0] :
( hskp13
| hskp14
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f142,negated_conjecture,
! [X0] :
( hskp13
| hskp21
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f143,negated_conjecture,
! [X0] :
( hskp22
| hskp14
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f145,negated_conjecture,
! [X0] :
( hskp7
| hskp14
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
fof(f149,negated_conjecture,
! [X0,X1] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f150,negated_conjecture,
! [X0,X1] :
( c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f151,negated_conjecture,
! [X0,X1] :
( hskp1
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f152,negated_conjecture,
! [X0,X1] :
( hskp4
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f153,negated_conjecture,
! [X0,X1] :
( hskp5
| 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',clause153) ).
fof(f154,negated_conjecture,
! [X0,X1] :
( hskp2
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f155,negated_conjecture,
! [X0,X1] :
( hskp2
| c1_1(X1)
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f156,negated_conjecture,
! [X0,X1] :
( hskp8
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f159,negated_conjecture,
! [X0,X1] :
( hskp3
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
fof(f160,negated_conjecture,
! [X0,X1] :
( hskp9
| c2_1(X1)
| c0_1(X1)
| c2_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f162,negated_conjecture,
! [X0,X1] :
( hskp6
| c3_1(X1)
| c0_1(X1)
| c3_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
fof(f164,negated_conjecture,
! [X0,X1] :
( hskp9
| c2_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f165,negated_conjecture,
! [X0,X1] :
( hskp23
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
fof(f166,negated_conjecture,
! [X0,X1] :
( hskp9
| c0_1(X1)
| c3_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f169,negated_conjecture,
! [X0,X1] :
( hskp20
| 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',clause169) ).
fof(f170,negated_conjecture,
! [X0,X1] :
( hskp15
| 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',clause170) ).
fof(f171,negated_conjecture,
! [X0,X1] :
( hskp29
| c2_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f172,negated_conjecture,
! [X0,X1] :
( hskp8
| ~ 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',clause172) ).
fof(f173,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X1)
| c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c3_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f174,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f175,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c3_1(X0)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f176,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c2_1(X0)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f177,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c1_1(X1)
| c2_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f178,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c2_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
fof(f179,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f180,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X2)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
tcf(c_229,negated_conjecture,
( hskp24
| hskp14 ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_246,negated_conjecture,
( ndr1_0
| ~ hskp13 ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_252,negated_conjecture,
( ndr1_0
| ~ hskp7 ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_254,negated_conjecture,
( ndr1_0
| ~ hskp5 ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_259,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_262,negated_conjecture,
( hskp9
| hskp18
| hskp27 ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_265,negated_conjecture,
( hskp5
| hskp7
| hskp13 ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_267,negated_conjecture,
( c1_1(a865)
| ~ hskp29 ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_268,negated_conjecture,
( c2_1(a865)
| ~ hskp29 ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_269,negated_conjecture,
( c3_1(a865)
| ~ hskp29 ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_273,negated_conjecture,
( c0_1(a826)
| ~ hskp27 ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_274,negated_conjecture,
( c2_1(a826)
| ~ hskp27 ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_275,negated_conjecture,
( c3_1(a826)
| ~ hskp27 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_281,negated_conjecture,
( c1_1(a878)
| ~ hskp24 ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_282,negated_conjecture,
( c0_1(a862)
| ~ hskp23 ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_283,negated_conjecture,
( c3_1(a862)
| ~ hskp23 ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_284,negated_conjecture,
( c0_1(a857)
| ~ hskp21 ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_285,negated_conjecture,
( c3_1(a856)
| ~ hskp20 ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_286,negated_conjecture,
( c1_1(a854)
| ~ hskp18 ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_291,negated_conjecture,
( c0_1(a842)
| ~ hskp14 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_292,negated_conjecture,
( c1_1(a842)
| ~ hskp14 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_293,negated_conjecture,
( c1_1(a839)
| ~ hskp13 ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_294,negated_conjecture,
( c3_1(a839)
| ~ hskp13 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_301,negated_conjecture,
( c3_1(a831)
| ~ hskp9 ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_302,negated_conjecture,
( c0_1(a828)
| ~ hskp7 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_303,negated_conjecture,
( c1_1(a827)
| ~ hskp6 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_304,negated_conjecture,
( c2_1(a827)
| ~ hskp6 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_305,negated_conjecture,
( c1_1(a825)
| ~ hskp5 ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_306,negated_conjecture,
( c3_1(a825)
| ~ hskp5 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_307,negated_conjecture,
( c2_1(a821)
| ~ hskp4 ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_308,negated_conjecture,
( c0_1(a820)
| ~ hskp3 ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_309,negated_conjecture,
( c2_1(a817)
| ~ hskp2 ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_310,negated_conjecture,
( c0_1(a816)
| ~ hskp1 ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_311,negated_conjecture,
( c3_1(a816)
| ~ hskp1 ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_312,negated_conjecture,
( c0_1(a815)
| ~ hskp0 ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_313,negated_conjecture,
( c1_1(a815)
| ~ hskp0 ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_315,negated_conjecture,
( ~ hskp24
| ~ c0_1(a878) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_316,negated_conjecture,
( ~ hskp24
| ~ c3_1(a878) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_317,negated_conjecture,
( ~ hskp23
| ~ c1_1(a862) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_318,negated_conjecture,
( ~ hskp22
| ~ c0_1(a860) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_319,negated_conjecture,
( ~ hskp22
| ~ c1_1(a860) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_320,negated_conjecture,
( ~ hskp22
| ~ c2_1(a860) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_321,negated_conjecture,
( ~ hskp21
| ~ c2_1(a857) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_322,negated_conjecture,
( ~ hskp21
| ~ c3_1(a857) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_323,negated_conjecture,
( ~ hskp20
| ~ c1_1(a856) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_324,negated_conjecture,
( ~ hskp20
| ~ c2_1(a856) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_328,negated_conjecture,
( ~ hskp18
| ~ c0_1(a854) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_329,negated_conjecture,
( ~ hskp18
| ~ c2_1(a854) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_335,negated_conjecture,
( ~ hskp14
| ~ c2_1(a842) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_336,negated_conjecture,
( ~ hskp13
| ~ c2_1(a839) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_340,negated_conjecture,
( ~ hskp9
| ~ c0_1(a831) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_341,negated_conjecture,
( ~ hskp9
| ~ c1_1(a831) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_342,negated_conjecture,
( ~ hskp8
| ~ c0_1(a830) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_343,negated_conjecture,
( ~ hskp8
| ~ c2_1(a830) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_344,negated_conjecture,
( ~ hskp8
| ~ c3_1(a830) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_345,negated_conjecture,
( ~ hskp7
| ~ c1_1(a828) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_346,negated_conjecture,
( ~ hskp7
| ~ c2_1(a828) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_347,negated_conjecture,
( ~ hskp6
| ~ c0_1(a827) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_348,negated_conjecture,
( ~ hskp5
| ~ c0_1(a825) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_349,negated_conjecture,
( ~ hskp4
| ~ c0_1(a821) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_350,negated_conjecture,
( ~ hskp4
| ~ c1_1(a821) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_351,negated_conjecture,
( ~ hskp3
| ~ c1_1(a820) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_352,negated_conjecture,
( ~ hskp3
| ~ c3_1(a820) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_353,negated_conjecture,
( ~ hskp2
| ~ c0_1(a817) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_354,negated_conjecture,
( ~ hskp2
| ~ c3_1(a817) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_355,negated_conjecture,
( ~ hskp1
| ~ c2_1(a816) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_356,negated_conjecture,
( ~ hskp0
| ~ c3_1(a815) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_357,negated_conjecture,
! [X0: $i] :
( hskp27
| c3_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_359,negated_conjecture,
! [X0: $i] :
( hskp6
| hskp27
| c0_1(X0)
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_360,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp7
| c0_1(X0)
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_367,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp22
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_368,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp14
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_370,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp21
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_371,negated_conjecture,
! [X0: $i] :
( hskp22
| hskp14
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_373,negated_conjecture,
! [X0: $i] :
( hskp7
| hskp14
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_377,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c0_1(X1)
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_378,negated_conjecture,
! [X0: $i,X1: $i] :
( c0_1(X1)
| c0_1(X0)
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_379,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c0_1(X1)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_380,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c0_1(X1)
| c0_1(X0)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_381,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c0_1(X1)
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_382,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c0_1(X1)
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_383,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c0_1(X1)
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_384,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c0_1(X0)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_387,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c0_1(X1)
| c0_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_388,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c0_1(X0)
| c2_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_390,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c0_1(X0)
| c3_1(X1)
| c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_392,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_393,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp23
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_394,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c0_1(X1)
| c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_397,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp20
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_398,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp15
| c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_399,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp29
| c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_400,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_401,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c1_1(X2)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_402,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_403,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c0_1(X1)
| c3_1(X0)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_404,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_405,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c2_1(X2)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_406,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| ~ ndr1_0
| ~ c0_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_407,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c3_1(X0)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_408,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X2)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_436,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_259,c_265,c_254,c_252,c_246]) ).
tcf(c_496,negated_conjecture,
! [X0: $i] :
( hskp27
| c3_1(X0)
| c2_1(X0)
| c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_357,c_265,c_254,c_252,c_246,c_357]) ).
tcf(c_499,negated_conjecture,
! [X0: $i] :
( hskp4
| hskp7
| c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_360,c_265,c_254,c_252,c_246,c_360]) ).
tcf(c_502,negated_conjecture,
! [X0: $i] :
( hskp6
| hskp27
| c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_359,c_265,c_254,c_252,c_246,c_359]) ).
tcf(c_508,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp22
| c3_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_367,c_265,c_254,c_252,c_246,c_367]) ).
tcf(c_535,plain,
! [X0: $i] :
( hskp7
| hskp14
| c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_373,c_265,c_254,c_252,c_246,c_373]) ).
tcf(c_536,negated_conjecture,
! [X0: $i] :
( hskp7
| hskp14
| c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_535]) ).
tcf(c_541,plain,
! [X0: $i] :
( hskp22
| hskp14
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_371,c_265,c_254,c_252,c_246,c_371]) ).
tcf(c_542,negated_conjecture,
! [X0: $i] :
( hskp22
| hskp14
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_541]) ).
tcf(c_544,plain,
! [X0: $i] :
( hskp13
| hskp21
| c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_370,c_265,c_254,c_252,c_246,c_370]) ).
tcf(c_545,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp21
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_544]) ).
tcf(c_550,plain,
! [X0: $i] :
( hskp13
| hskp14
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_368,c_265,c_254,c_252,c_246,c_368]) ).
tcf(c_551,negated_conjecture,
! [X0: $i] :
( hskp13
| hskp14
| c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_550]) ).
tcf(c_556,negated_conjecture,
! [X0: $i,X1: $i] :
( c0_1(X1)
| c0_1(X0)
| c3_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_378,c_265,c_254,c_252,c_246,c_378]) ).
tcf(c_558,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c0_1(X1)
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_377,c_265,c_254,c_252,c_246,c_377]) ).
tcf(c_561,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp5
| c0_1(X1)
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_381,c_265,c_254,c_252,c_246,c_381]) ).
tcf(c_563,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp4
| c0_1(X1)
| c0_1(X0)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_380,c_265,c_254,c_252,c_246,c_380]) ).
tcf(c_565,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp1
| c0_1(X1)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_379,c_265,c_254,c_252,c_246,c_379]) ).
tcf(c_572,plain,
! [X0: $i,X1: $i] :
( hskp8
| c0_1(X0)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_384,c_265,c_254,c_252,c_246,c_384]) ).
tcf(c_573,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| c0_1(X0)
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_572]) ).
tcf(c_574,plain,
! [X0: $i,X1: $i] :
( hskp2
| c0_1(X1)
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_383,c_265,c_254,c_252,c_246,c_383]) ).
tcf(c_575,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c0_1(X1)
| c2_1(X0)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_574]) ).
tcf(c_577,plain,
! [X0: $i,X1: $i] :
( hskp2
| c0_1(X1)
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_382,c_265,c_254,c_252,c_246,c_382]) ).
tcf(c_578,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c0_1(X1)
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_577]) ).
tcf(c_579,plain,
! [X0: $i,X1: $i] :
( hskp23
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_393,c_265,c_254,c_252,c_246,c_393]) ).
tcf(c_580,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp23
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_579]) ).
tcf(c_581,plain,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_392,c_265,c_254,c_252,c_246,c_392]) ).
tcf(c_582,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_581]) ).
tcf(c_586,plain,
! [X0: $i,X1: $i] :
( hskp6
| c0_1(X0)
| c3_1(X1)
| c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_390,c_265,c_254,c_252,c_246,c_390]) ).
tcf(c_587,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp6
| c0_1(X0)
| c3_1(X1)
| c3_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_586]) ).
tcf(c_590,plain,
! [X0: $i,X1: $i] :
( hskp9
| c0_1(X0)
| c2_1(X1)
| c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_388,c_265,c_254,c_252,c_246,c_388]) ).
tcf(c_591,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c0_1(X0)
| c2_1(X1)
| c2_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_590]) ).
tcf(c_592,plain,
! [X0: $i,X1: $i] :
( hskp3
| c0_1(X1)
| c0_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_387,c_265,c_254,c_252,c_246,c_387]) ).
tcf(c_593,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c0_1(X1)
| c0_1(X0)
| c1_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_592]) ).
tcf(c_594,plain,
! [X0: $i,X1: $i] :
( hskp15
| c3_1(X1)
| c2_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_398,c_265,c_254,c_252,c_246,c_398]) ).
tcf(c_595,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp15
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_594]) ).
tcf(c_596,plain,
! [X0: $i,X1: $i] :
( hskp20
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_397,c_265,c_254,c_252,c_246,c_397]) ).
tcf(c_597,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp20
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_596]) ).
tcf(c_603,plain,
! [X0: $i,X1: $i] :
( hskp9
| c0_1(X1)
| c3_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_394,c_265,c_254,c_252,c_246,c_394]) ).
tcf(c_604,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c0_1(X1)
| c3_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_603]) ).
tcf(c_605,plain,
! [X0: $i,X1: $i] :
( hskp29
| c2_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_399,c_265,c_254,c_252,c_246,c_399]) ).
tcf(c_606,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp29
| c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_605]) ).
tcf(c_608,plain,
! [X0: $i,X1: $i] :
( hskp8
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_400,c_265,c_254,c_252,c_246,c_400]) ).
tcf(c_609,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp8
| ~ c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_608]) ).
tcf(c_611,plain,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c1_1(X2)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_401,c_265,c_254,c_252,c_246,c_401]) ).
tcf(c_612,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c1_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_611]) ).
tcf(c_613,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_402,c_265,c_254,c_252,c_246,c_402]) ).
tcf(c_614,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_613]) ).
tcf(c_615,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_408,c_265,c_254,c_252,c_246,c_408]) ).
tcf(c_616,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ c0_1(X2)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_615]) ).
tcf(c_617,plain,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c3_1(X0)
| c2_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_407,c_265,c_254,c_252,c_246,c_407]) ).
tcf(c_618,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c3_1(X0)
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_617]) ).
tcf(c_619,plain,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_406,c_265,c_254,c_252,c_246,c_406]) ).
tcf(c_620,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| ~ c0_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_619]) ).
tcf(c_621,plain,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c2_1(X2)
| c2_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X2)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_405,c_265,c_254,c_252,c_246,c_405]) ).
tcf(c_622,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c2_1(X2)
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X1)
| ~ c3_1(X2)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_621]) ).
tcf(c_623,plain,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X2)
| ~ c0_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_404,c_404,c_436]) ).
tcf(c_624,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X1)
| c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| ~ c0_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_623]) ).
tcf(c_625,plain,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c0_1(X1)
| c3_1(X0)
| c1_1(X2)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_403,c_265,c_254,c_252,c_246,c_403]) ).
tcf(c_626,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c0_1(X2)
| c0_1(X1)
| c3_1(X0)
| c1_1(X2)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_625]) ).
tcf(c_1780,plain,
( hskp14
| ~ c3_1(a878) ),
inference(resolution,[status(thm)],[c_229,c_316]) ).
tcf(c_1787,plain,
( hskp14
| ~ c0_1(a878) ),
inference(resolution,[status(thm)],[c_229,c_315]) ).
tcf(c_1794,plain,
( hskp14
| c1_1(a878) ),
inference(resolution,[status(thm)],[c_229,c_281]) ).
tcf(c_2104,plain,
( hskp9
| hskp27
| ~ c2_1(a854) ),
inference(resolution,[status(thm)],[c_262,c_329]) ).
tcf(c_2114,plain,
( hskp9
| hskp27
| ~ c0_1(a854) ),
inference(resolution,[status(thm)],[c_262,c_328]) ).
tcf(c_2124,plain,
( hskp9
| hskp27
| c1_1(a854) ),
inference(resolution,[status(thm)],[c_262,c_286]) ).
tcf(c_3234,plain,
! [X0: $i] :
( hskp14
| c3_1(X0)
| ~ c2_1(a828)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_536,c_346]) ).
tcf(c_3235,plain,
( hskp14
| c3_1(a815)
| ~ c2_1(a815)
| ~ c2_1(a828)
| ~ c1_1(a815) ),
inference(instantiation,[status(thm)],[c_3234]) ).
tcf(c_3251,plain,
! [X0: $i] :
( hskp14
| c3_1(X0)
| ~ c1_1(a828)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_536,c_345]) ).
tcf(c_3252,plain,
( hskp14
| c3_1(a815)
| ~ c2_1(a815)
| ~ c1_1(a815)
| ~ c1_1(a828) ),
inference(instantiation,[status(thm)],[c_3251]) ).
tcf(c_3268,plain,
! [X0: $i] :
( hskp14
| c0_1(a828)
| c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(resolution,[status(thm)],[c_536,c_302]) ).
tcf(c_3269,plain,
( hskp14
| c0_1(a828)
| c3_1(a815)
| ~ c2_1(a815)
| ~ c1_1(a815) ),
inference(instantiation,[status(thm)],[c_3268]) ).
tcf(c_5889,plain,
( hskp5
| hskp7
| ~ c2_1(a839) ),
inference(resolution,[status(thm)],[c_265,c_336]) ).
tcf(c_5899,plain,
( hskp5
| hskp7
| c3_1(a839) ),
inference(resolution,[status(thm)],[c_265,c_294]) ).
tcf(c_5909,plain,
( hskp5
| hskp7
| c1_1(a839) ),
inference(resolution,[status(thm)],[c_265,c_293]) ).
tcf(c_13838,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ~ c1_1(X0)
| ~ c3_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_626]) ).
tcf(c_13839,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| c1_1(X0)
| ~ c2_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_626]) ).
tcf(c_13840,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ~ c1_1(X0)
| c3_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_626]) ).
tcf(c_13841,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_626]) ).
tcf(c_13842,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_624]) ).
tcf(c_13843,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| ~ c1_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_624]) ).
tcf(c_13844,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_624]) ).
tcf(c_13845,negated_conjecture,
( iPr_def_15
| iPr_def_14
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_624]) ).
tcf(c_13846,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_622]) ).
tcf(c_13847,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| c2_1(X0)
| ~ c3_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_622]) ).
tcf(c_13848,negated_conjecture,
( iPr_def_17
| iPr_def_16
| iPr_def_15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_622]) ).
tcf(c_13849,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| c1_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_620]) ).
tcf(c_13850,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| ~ c1_1(X0)
| ~ c2_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_620]) ).
tcf(c_13851,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| ~ c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_620]) ).
tcf(c_13852,negated_conjecture,
( iPr_def_20
| iPr_def_19
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_620]) ).
tcf(c_13853,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_618]) ).
tcf(c_13854,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_22
| ~ c2_1(X0)
| ~ c3_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_618]) ).
tcf(c_13855,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_23
| ~ c1_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_618]) ).
tcf(c_13856,negated_conjecture,
( iPr_def_23
| iPr_def_22
| iPr_def_21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_618]) ).
tcf(c_13857,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| c1_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_616]) ).
tcf(c_13858,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_616]) ).
tcf(c_13859,negated_conjecture,
( iPr_def_25
| iPr_def_24
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_616]) ).
tcf(c_13860,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_26
| c1_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_614]) ).
tcf(c_13861,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_27
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_614]) ).
tcf(c_13862,negated_conjecture,
( iPr_def_27
| iPr_def_26
| iPr_def_24 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_614]) ).
tcf(c_13863,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_28
| ~ c2_1(X0)
| c3_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_612]) ).
tcf(c_13864,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_612]) ).
tcf(c_13865,negated_conjecture,
( iPr_def_29
| iPr_def_28
| iPr_def_26 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_612]) ).
tcf(c_13866,negated_conjecture,
( iPr_def_27
| iPr_def_25
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_609]) ).
tcf(c_13867,negated_conjecture,
( iPr_def_25
| iPr_def_13
| hskp29 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_606]) ).
tcf(c_13868,negated_conjecture,
( iPr_def_12
| iPr_def_10
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_604]) ).
tcf(c_13871,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_30
| c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_597]) ).
tcf(c_13872,negated_conjecture,
( iPr_def_30
| iPr_def_16
| hskp20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_597]) ).
tcf(c_13873,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| c2_1(X0)
| c3_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_595]) ).
tcf(c_13875,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| c1_1(X0)
| ~ c3_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_593]) ).
tcf(c_13876,negated_conjecture,
( iPr_def_32
| iPr_def_19
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_593]) ).
tcf(c_13877,negated_conjecture,
( iPr_def_14
| iPr_def_13
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_591]) ).
tcf(c_13880,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_34
| ~ c2_1(X0)
| c3_1(X0)
| ~ c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_587]) ).
tcf(c_13883,negated_conjecture,
( iPr_def_24
| iPr_def_13
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_582]) ).
tcf(c_13884,negated_conjecture,
( iPr_def_23
| iPr_def_13
| hskp23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_580]) ).
tcf(c_13885,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_35
| c1_1(X0)
| c2_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_578]) ).
tcf(c_13886,negated_conjecture,
( iPr_def_35
| iPr_def_34
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_578]) ).
tcf(c_13887,negated_conjecture,
( iPr_def_32
| iPr_def_18
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_575]) ).
tcf(c_13888,negated_conjecture,
( iPr_def_31
| iPr_def_14
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_573]) ).
tcf(c_13892,negated_conjecture,
( iPr_def_35
| iPr_def_24
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_565]) ).
tcf(c_13893,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_37
| c2_1(X0)
| c3_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_563]) ).
tcf(c_13895,negated_conjecture,
( iPr_def_37
| iPr_def_31
| hskp5 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_561]) ).
tcf(c_13896,negated_conjecture,
( iPr_def_35
| iPr_def_26
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_558]) ).
tcf(c_13897,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_38
| c1_1(X0)
| c3_1(X0)
| c0_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_556]) ).
tcf(c_13898,negated_conjecture,
( iPr_def_38
| iPr_def_32 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_556]) ).
tcf(c_13901,negated_conjecture,
( iPr_def_10
| hskp13
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_551]) ).
tcf(c_13903,negated_conjecture,
( iPr_def_16
| hskp13
| hskp21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_545]) ).
tcf(c_13904,negated_conjecture,
( iPr_def_30
| hskp22
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_542]) ).
tcf(c_13906,negated_conjecture,
( iPr_def_29
| hskp7
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_536]) ).
tcf(c_13916,negated_conjecture,
( iPr_def_23
| hskp1
| hskp22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_508]) ).
tcf(c_13918,negated_conjecture,
( iPr_def_37
| hskp6
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_502]) ).
tcf(c_13919,negated_conjecture,
( iPr_def_37
| hskp4
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_499]) ).
tcf(c_13931,plain,
( c3_1(a815)
| c2_1(a815)
| ~ iPr_def_31
| ~ c0_1(a815) ),
inference(instantiation,[status(thm)],[c_13873]) ).
tcf(c_13937,plain,
( c3_1(a815)
| ~ iPr_def_12
| ~ c0_1(a815)
| ~ c1_1(a815) ),
inference(instantiation,[status(thm)],[c_13840]) ).
tcf(c_13945,plain,
( c3_1(a815)
| ~ iPr_def_29
| ~ c2_1(a815)
| ~ c1_1(a815) ),
inference(instantiation,[status(thm)],[c_13864]) ).
tcf(c_13947,plain,
( c3_1(a815)
| ~ iPr_def_34
| ~ c0_1(a815)
| ~ c2_1(a815) ),
inference(instantiation,[status(thm)],[c_13880]) ).
tcf(c_13969,plain,
( c2_1(a862)
| c1_1(a862)
| ~ iPr_def_18
| ~ c3_1(a862) ),
inference(instantiation,[status(thm)],[c_13849]) ).
tcf(c_13970,plain,
( c2_1(a856)
| c1_1(a856)
| ~ iPr_def_18
| ~ c3_1(a856) ),
inference(instantiation,[status(thm)],[c_13849]) ).
tcf(c_13973,plain,
( c2_1(a831)
| c1_1(a831)
| ~ iPr_def_18
| ~ c3_1(a831) ),
inference(instantiation,[status(thm)],[c_13849]) ).
tcf(c_13977,plain,
( c1_1(a862)
| ~ iPr_def_21
| ~ c0_1(a862)
| ~ c2_1(a862) ),
inference(instantiation,[status(thm)],[c_13853]) ).
tcf(c_13984,plain,
( c3_1(a860)
| c2_1(a860)
| c1_1(a860)
| ~ iPr_def_26 ),
inference(instantiation,[status(thm)],[c_13860]) ).
tcf(c_13989,plain,
( c3_1(a828)
| c2_1(a828)
| c1_1(a828)
| ~ iPr_def_26 ),
inference(instantiation,[status(thm)],[c_13860]) ).
tcf(c_13994,plain,
( c3_1(a857)
| c2_1(a857)
| ~ iPr_def_31
| ~ c0_1(a857) ),
inference(instantiation,[status(thm)],[c_13873]) ).
tcf(c_13995,plain,
( c3_1(a842)
| c2_1(a842)
| ~ iPr_def_31
| ~ c0_1(a842) ),
inference(instantiation,[status(thm)],[c_13873]) ).
tcf(c_13997,plain,
( c3_1(a828)
| c2_1(a828)
| ~ iPr_def_31
| ~ c0_1(a828) ),
inference(instantiation,[status(thm)],[c_13873]) ).
tcf(c_14002,plain,
( c0_1(a856)
| c1_1(a856)
| ~ iPr_def_32
| ~ c3_1(a856) ),
inference(instantiation,[status(thm)],[c_13875]) ).
tcf(c_14005,plain,
( c0_1(a831)
| c1_1(a831)
| ~ iPr_def_32
| ~ c3_1(a831) ),
inference(instantiation,[status(thm)],[c_13875]) ).
tcf(c_14037,plain,
( c3_1(a820)
| c2_1(a820)
| ~ iPr_def_31
| ~ c0_1(a820) ),
inference(instantiation,[status(thm)],[c_13873]) ).
tcf(c_14038,plain,
( c1_1(a820)
| ~ iPr_def_21
| ~ c0_1(a820)
| ~ c2_1(a820) ),
inference(instantiation,[status(thm)],[c_13853]) ).
tcf(c_14045,plain,
( c0_1(a827)
| ~ iPr_def_19
| ~ c2_1(a827)
| ~ c1_1(a827) ),
inference(instantiation,[status(thm)],[c_13850]) ).
tcf(c_14047,plain,
( c0_1(a817)
| ~ iPr_def_19
| ~ c2_1(a817)
| ~ c1_1(a817) ),
inference(instantiation,[status(thm)],[c_13850]) ).
tcf(c_14051,plain,
( hskp27
| c3_1(a860)
| c2_1(a860)
| c1_1(a860) ),
inference(instantiation,[status(thm)],[c_496]) ).
tcf(c_14057,plain,
( hskp27
| c3_1(a828)
| c2_1(a828)
| c1_1(a828) ),
inference(instantiation,[status(thm)],[c_496]) ).
tcf(c_14059,plain,
( hskp27
| c3_1(a820)
| c2_1(a820)
| c1_1(a820) ),
inference(instantiation,[status(thm)],[c_496]) ).
tcf(c_14068,plain,
( c2_1(a828)
| c1_1(a828)
| ~ iPr_def_24
| ~ c0_1(a828) ),
inference(instantiation,[status(thm)],[c_13857]) ).
tcf(c_14073,plain,
( c2_1(a839)
| ~ iPr_def_15
| ~ c3_1(a839)
| ~ c1_1(a839) ),
inference(instantiation,[status(thm)],[c_13844]) ).
tcf(c_14074,plain,
( c0_1(a839)
| ~ iPr_def_10
| ~ c3_1(a839)
| ~ c1_1(a839) ),
inference(instantiation,[status(thm)],[c_13838]) ).
tcf(c_14082,plain,
( c0_1(a821)
| c1_1(a821)
| ~ iPr_def_11
| ~ c2_1(a821) ),
inference(instantiation,[status(thm)],[c_13839]) ).
tcf(c_14088,plain,
( c0_1(a860)
| c1_1(a860)
| ~ iPr_def_32
| ~ c3_1(a860) ),
inference(instantiation,[status(thm)],[c_13875]) ).
tcf(c_14089,plain,
( c2_1(a860)
| c1_1(a860)
| ~ iPr_def_18
| ~ c3_1(a860) ),
inference(instantiation,[status(thm)],[c_13849]) ).
tcf(c_14109,plain,
( c2_1(a828)
| c1_1(a828)
| ~ iPr_def_18
| ~ c3_1(a828) ),
inference(instantiation,[status(thm)],[c_13849]) ).
tcf(c_14126,plain,
( c2_1(a842)
| ~ iPr_def_15
| ~ c3_1(a842)
| ~ c1_1(a842) ),
inference(instantiation,[status(thm)],[c_13844]) ).
tcf(c_14139,plain,
( c0_1(a860)
| c3_1(a860)
| c1_1(a860)
| ~ iPr_def_38 ),
inference(instantiation,[status(thm)],[c_13897]) ).
tcf(c_14146,plain,
( c0_1(a821)
| c3_1(a821)
| c1_1(a821)
| ~ iPr_def_38 ),
inference(instantiation,[status(thm)],[c_13897]) ).
tcf(c_14169,plain,
( ~ iPr_def_25
| ~ c0_1(a826)
| ~ c3_1(a826)
| ~ c1_1(a826) ),
inference(instantiation,[status(thm)],[c_13858]) ).
tcf(c_14172,plain,
( ~ iPr_def_25
| ~ c0_1(a842)
| ~ c3_1(a842)
| ~ c1_1(a842) ),
inference(instantiation,[status(thm)],[c_13858]) ).
tcf(c_14182,plain,
( c2_1(a842)
| ~ iPr_def_20
| ~ c0_1(a842)
| ~ c1_1(a842) ),
inference(instantiation,[status(thm)],[c_13851]) ).
tcf(c_14206,plain,
( c1_1(a821)
| ~ iPr_def_30
| ~ c3_1(a821)
| ~ c2_1(a821) ),
inference(instantiation,[status(thm)],[c_13871]) ).
tcf(c_14235,plain,
( c3_1(a842)
| ~ iPr_def_12
| ~ c0_1(a842)
| ~ c1_1(a842) ),
inference(instantiation,[status(thm)],[c_13840]) ).
tcf(c_14244,plain,
( c2_1(a842)
| ~ iPr_def_13
| ~ c0_1(a842)
| ~ c3_1(a842) ),
inference(instantiation,[status(thm)],[c_13842]) ).
tcf(c_14247,plain,
( c2_1(a828)
| ~ iPr_def_13
| ~ c0_1(a828)
| ~ c3_1(a828) ),
inference(instantiation,[status(thm)],[c_13842]) ).
tcf(c_14249,plain,
( c2_1(a816)
| ~ iPr_def_13
| ~ c0_1(a816)
| ~ c3_1(a816) ),
inference(instantiation,[status(thm)],[c_13842]) ).
tcf(c_14250,plain,
( c1_1(a826)
| ~ iPr_def_16
| ~ c0_1(a826)
| ~ c3_1(a826) ),
inference(instantiation,[status(thm)],[c_13846]) ).
tcf(c_14252,plain,
( c1_1(a862)
| ~ iPr_def_16
| ~ c0_1(a862)
| ~ c3_1(a862) ),
inference(instantiation,[status(thm)],[c_13846]) ).
tcf(c_14256,plain,
( c1_1(a828)
| ~ iPr_def_16
| ~ c0_1(a828)
| ~ c3_1(a828) ),
inference(instantiation,[status(thm)],[c_13846]) ).
tcf(c_14385,plain,
( c0_1(a831)
| ~ iPr_def_22
| ~ c3_1(a831)
| ~ c2_1(a831) ),
inference(instantiation,[status(thm)],[c_13854]) ).
tcf(c_14391,plain,
( c0_1(a860)
| c2_1(a860)
| ~ iPr_def_17
| ~ c3_1(a860) ),
inference(instantiation,[status(thm)],[c_13847]) ).
tcf(c_14413,plain,
( c0_1(a878)
| c2_1(a878)
| ~ iPr_def_14
| ~ c1_1(a878) ),
inference(instantiation,[status(thm)],[c_13843]) ).
tcf(c_14416,plain,
( c0_1(a854)
| c2_1(a854)
| ~ iPr_def_14
| ~ c1_1(a854) ),
inference(instantiation,[status(thm)],[c_13843]) ).
tcf(c_14419,plain,
( c0_1(a830)
| c2_1(a830)
| ~ iPr_def_14
| ~ c1_1(a830) ),
inference(instantiation,[status(thm)],[c_13843]) ).
tcf(c_14435,plain,
( c2_1(a856)
| c1_1(a856)
| ~ iPr_def_24
| ~ c0_1(a856) ),
inference(instantiation,[status(thm)],[c_13857]) ).
tcf(c_14462,plain,
( c0_1(a821)
| c1_1(a821)
| ~ iPr_def_32
| ~ c3_1(a821) ),
inference(instantiation,[status(thm)],[c_13875]) ).
tcf(c_14477,plain,
( c3_1(a878)
| c2_1(a878)
| ~ iPr_def_23
| ~ c1_1(a878) ),
inference(instantiation,[status(thm)],[c_13855]) ).
tcf(c_14481,plain,
( c3_1(a830)
| c2_1(a830)
| ~ iPr_def_23
| ~ c1_1(a830) ),
inference(instantiation,[status(thm)],[c_13855]) ).
tcf(c_14488,plain,
( c1_1(a826)
| ~ iPr_def_30
| ~ c3_1(a826)
| ~ c2_1(a826) ),
inference(instantiation,[status(thm)],[c_13871]) ).
tcf(c_14520,plain,
( c0_1(a878)
| ~ iPr_def_19
| ~ c2_1(a878)
| ~ c1_1(a878) ),
inference(instantiation,[status(thm)],[c_13850]) ).
tcf(c_14537,plain,
( c0_1(a831)
| c1_1(a831)
| ~ iPr_def_11
| ~ c2_1(a831) ),
inference(instantiation,[status(thm)],[c_13839]) ).
tcf(c_14585,plain,
( c0_1(a856)
| c2_1(a856)
| ~ iPr_def_17
| ~ c3_1(a856) ),
inference(instantiation,[status(thm)],[c_13847]) ).
tcf(c_14606,plain,
( c0_1(a830)
| c3_1(a830)
| c1_1(a830)
| ~ iPr_def_38 ),
inference(instantiation,[status(thm)],[c_13897]) ).
tcf(c_14608,plain,
( c3_1(a830)
| c2_1(a830)
| c1_1(a830)
| ~ iPr_def_26 ),
inference(instantiation,[status(thm)],[c_13860]) ).
tcf(c_14625,plain,
( c3_1(a857)
| c2_1(a857)
| c1_1(a857)
| ~ iPr_def_26 ),
inference(instantiation,[status(thm)],[c_13860]) ).
tcf(c_14840,plain,
( ~ iPr_def_27
| ~ c3_1(a865)
| ~ c2_1(a865)
| ~ c1_1(a865) ),
inference(instantiation,[status(thm)],[c_13861]) ).
tcf(c_14841,plain,
( ~ iPr_def_27
| ~ c3_1(a826)
| ~ c2_1(a826)
| ~ c1_1(a826) ),
inference(instantiation,[status(thm)],[c_13861]) ).
tcf(c_14946,plain,
( c0_1(a839)
| c2_1(a839)
| ~ iPr_def_17
| ~ c3_1(a839) ),
inference(instantiation,[status(thm)],[c_13847]) ).
tcf(c_14950,plain,
( c2_1(a839)
| ~ iPr_def_20
| ~ c0_1(a839)
| ~ c1_1(a839) ),
inference(instantiation,[status(thm)],[c_13851]) ).
tcf(c_14953,plain,
( c3_1(a878)
| ~ iPr_def_29
| ~ c2_1(a878)
| ~ c1_1(a878) ),
inference(instantiation,[status(thm)],[c_13864]) ).
tcf(c_14959,plain,
( c3_1(a817)
| ~ iPr_def_29
| ~ c2_1(a817)
| ~ c1_1(a817) ),
inference(instantiation,[status(thm)],[c_13864]) ).
tcf(c_14964,plain,
( c3_1(a827)
| ~ iPr_def_29
| ~ c2_1(a827)
| ~ c1_1(a827) ),
inference(instantiation,[status(thm)],[c_13864]) ).
tcf(c_14974,plain,
( c2_1(a856)
| ~ iPr_def_13
| ~ c0_1(a856)
| ~ c3_1(a856) ),
inference(instantiation,[status(thm)],[c_13842]) ).
tcf(c_15040,plain,
( c3_1(a854)
| c2_1(a854)
| ~ iPr_def_23
| ~ c1_1(a854) ),
inference(instantiation,[status(thm)],[c_13855]) ).
tcf(c_15096,plain,
( c0_1(a830)
| c3_1(a830)
| c2_1(a830)
| ~ iPr_def_37 ),
inference(instantiation,[status(thm)],[c_13893]) ).
tcf(c_15112,plain,
( c2_1(a839)
| ~ iPr_def_13
| ~ c0_1(a839)
| ~ c3_1(a839) ),
inference(instantiation,[status(thm)],[c_13842]) ).
tcf(c_15142,plain,
( c0_1(a854)
| ~ iPr_def_10
| ~ c3_1(a854)
| ~ c1_1(a854) ),
inference(instantiation,[status(thm)],[c_13838]) ).
tcf(c_15170,plain,
( c0_1(a830)
| c2_1(a830)
| c1_1(a830)
| ~ iPr_def_35 ),
inference(instantiation,[status(thm)],[c_13885]) ).
tcf(c_15211,plain,
( c0_1(a860)
| c2_1(a860)
| c1_1(a860)
| ~ iPr_def_35 ),
inference(instantiation,[status(thm)],[c_13885]) ).
tcf(c_15221,plain,
( c0_1(a827)
| ~ iPr_def_22
| ~ c3_1(a827)
| ~ c2_1(a827) ),
inference(instantiation,[status(thm)],[c_13854]) ).
tcf(c_15263,plain,
( c0_1(a825)
| ~ iPr_def_10
| ~ c3_1(a825)
| ~ c1_1(a825) ),
inference(instantiation,[status(thm)],[c_13838]) ).
tcf(c_15266,plain,
( c0_1(a878)
| c3_1(a878)
| c2_1(a878)
| ~ iPr_def_37 ),
inference(instantiation,[status(thm)],[c_13893]) ).
tcf(c_15272,plain,
( c2_1(a857)
| ~ iPr_def_20
| ~ c0_1(a857)
| ~ c1_1(a857) ),
inference(instantiation,[status(thm)],[c_13851]) ).
tcf(c_15308,plain,
( c0_1(a817)
| c3_1(a817)
| c1_1(a817)
| ~ iPr_def_38 ),
inference(instantiation,[status(thm)],[c_13897]) ).
tcf(c_15356,plain,
( c0_1(a878)
| c3_1(a878)
| ~ iPr_def_28
| ~ c2_1(a878) ),
inference(instantiation,[status(thm)],[c_13863]) ).
tcf(c_15363,plain,
( c0_1(a821)
| c3_1(a821)
| ~ iPr_def_28
| ~ c2_1(a821) ),
inference(instantiation,[status(thm)],[c_13863]) ).
tcf(c_15364,plain,
( c0_1(a817)
| c3_1(a817)
| ~ iPr_def_28
| ~ c2_1(a817) ),
inference(instantiation,[status(thm)],[c_13863]) ).
tcf(c_15372,plain,
( c3_1(a842)
| c2_1(a842)
| ~ iPr_def_23
| ~ c1_1(a842) ),
inference(instantiation,[status(thm)],[c_13855]) ).
tcf(c_15387,plain,
( c0_1(a839)
| c2_1(a839)
| ~ iPr_def_14
| ~ c1_1(a839) ),
inference(instantiation,[status(thm)],[c_13843]) ).
tcf(c_15465,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_15387,c_15372,c_15364,c_15363,c_15356,c_15308,c_15272,c_15266,c_15263,c_15221,c_15211,c_15170,c_15142,c_15112,c_15096,c_15040,c_14974,c_14964,c_14959,c_14953,c_14950,c_14946,c_14841,c_14840,c_14625,c_14606,c_14608,c_14585,c_14537,c_14520,c_14488,c_14481,c_14477,c_14462,c_14435,c_14419,c_14416,c_14413,c_14391,c_14385,c_14256,c_14252,c_14250,c_14249,c_14247,c_14244,c_14235,c_14206,c_14182,c_14172,c_14169,c_14146,c_14139,c_14126,c_14109,c_14088,c_14089,c_14082,c_14073,c_14074,c_14068,c_14059,c_14057,c_14051,c_14047,c_14045,c_14037,c_14038,c_14005,c_14002,c_13997,c_13995,c_13994,c_13989,c_13984,c_13977,c_13973,c_13970,c_13969,c_13947,c_13945,c_13937,c_13931,c_13919,c_13918,c_13916,c_13906,c_13904,c_13903,c_13901,c_13896,c_13895,c_13892,c_13888,c_13887,c_13886,c_13884,c_13883,c_13877,c_13876,c_13872,c_13868,c_13867,c_13866,c_13865,c_13862,c_13859,c_13856,c_13852,c_13848,c_13845,c_13841,c_13898,c_5909,c_5899,c_5889,c_3269,c_3252,c_3235,c_2124,c_2114,c_2104,c_1794,c_1787,c_1780,c_315,c_317,c_318,c_319,c_320,c_321,c_322,c_323,c_324,c_335,c_336,c_340,c_341,c_342,c_343,c_344,c_345,c_346,c_347,c_348,c_349,c_350,c_351,c_352,c_353,c_354,c_355,c_356,c_267,c_268,c_269,c_273,c_274,c_275,c_281,c_282,c_283,c_284,c_285,c_291,c_292,c_293,c_294,c_301,c_302,c_303,c_304,c_305,c_306,c_307,c_308,c_309,c_310,c_311,c_312,c_313,c_229]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN452-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.35 % Computer : n007.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Fri Sep 25 01:13:39 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running EPR theorem proving
% 0.12/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 3.33/1.04 % SZS status Started for theBenchmark.p
% 3.33/1.04 % SZS status Unsatisfiable for theBenchmark.p
% 3.33/1.04
% 3.33/1.04 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.33/1.04
% 3.33/1.04 % ------ iProver source info
% 3.33/1.04
% 3.33/1.04 % git: date: 2026-07-19 20:42:38 +0200
% 3.33/1.04 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.33/1.04 % git: non_committed_changes: false
% 3.33/1.04
% 3.33/1.04 % ------ Parsing...% successful
% 3.33/1.04
% 3.33/1.04
% 3.33/1.04 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 3.33/1.04 %
% 3.33/1.04
% 3.33/1.04 % ------ 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 %
% 3.33/1.04
% 3.33/1.04 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 3.33/1.04 gs_s sp: 91 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.33/1.04 % ------ Proving...
% 3.33/1.04 % ------ Problem Properties
% 3.33/1.04
% 3.33/1.04 %
% 3.33/1.04 % clauses 180
% 3.33/1.04 % conjectures 177
% 3.33/1.04 % EPR 180
% 3.33/1.04 % Horn 102
% 3.33/1.04 % unary 0
% 3.33/1.04 % binary 89
% 3.33/1.04 % lits 483
% 3.33/1.04 % lits eq 0
% 3.33/1.04 % fd_pure 0
% 3.33/1.04 % fd_pseudo 0
% 3.33/1.04 % fd_cond 0
% 3.33/1.04 % fd_pseudo_cond 0
% 3.33/1.04 % AC symbols 0
% 3.33/1.04
% 3.33/1.04 % ------ Schedule EPR non Horn non eq is on
% 3.33/1.04
% 3.33/1.04 % ------ no equalities: superposition off
% 3.33/1.04
% 3.33/1.04 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.33/1.04
% 3.33/1.04
% 3.33/1.04 % ------
% 3.33/1.04 % Current options:
% 3.33/1.04 % ------
% 3.33/1.04
% 3.33/1.04
% 3.33/1.04 %
% 3.33/1.04
% 3.33/1.04 % ------ Proving...
% 3.33/1.04 %
% 3.33/1.04
% 3.33/1.04 % SZS status Unsatisfiable for theBenchmark.p
% 3.33/1.04
% 3.33/1.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.33/1.05
% 3.33/1.05
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