%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN508-1 : 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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:40:37 PM UTC 2026
% Result : Unsatisfiable 0.69s 7.01s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 83
% Syntax : Number of formulae : 297 ( 2 unt; 0 def)
% Number of atoms : 1311 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 1688 ( 674 ~;1014 |; 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 : 44 ( 43 usr; 40 prp; 0-1 aty)
% Number of functors : 17 ( 17 usr; 17 con; 0-0 aty)
% Number of variables : 230 ( 0 sgn 230 !; 0 ?; 175 :)
% Comments :
%------------------------------------------------------------------------------
fof(f8,negated_conjecture,
( ndr1_0
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f30,negated_conjecture,
( ndr1_0
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f31,negated_conjecture,
( ndr1_0
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f32,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f39,negated_conjecture,
( hskp2
| hskp1
| hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f40,negated_conjecture,
( hskp8
| hskp14
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f43,negated_conjecture,
( hskp11
| hskp8
| hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( hskp5
| hskp11
| hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f48,negated_conjecture,
( c0_1(a714)
| ~ hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( c2_1(a714)
| ~ hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f50,negated_conjecture,
( c3_1(a714)
| ~ hskp30 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f52,negated_conjecture,
( c2_1(a709)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( c3_1(a709)
| ~ hskp29 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f62,negated_conjecture,
( c0_1(a762)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( c3_1(a762)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( c0_1(a757)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( c1_1(a757)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f66,negated_conjecture,
( c1_1(a756)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f67,negated_conjecture,
( c2_1(a756)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f71,negated_conjecture,
( c1_1(a741)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( c3_1(a741)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( c2_1(a739)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f74,negated_conjecture,
( c3_1(a739)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( c0_1(a732)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( c3_1(a732)
| ~ hskp16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f78,negated_conjecture,
( c1_1(a730)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f81,negated_conjecture,
( c2_1(a725)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( c3_1(a721)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f86,negated_conjecture,
( c1_1(a718)
| ~ hskp8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f87,negated_conjecture,
( c0_1(a717)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f91,negated_conjecture,
( c1_1(a708)
| ~ hskp2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f92,negated_conjecture,
( c0_1(a707)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f97,negated_conjecture,
( ~ hskp24
| ~ c2_1(a762) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f98,negated_conjecture,
( ~ hskp23
| ~ c2_1(a757) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ hskp22
| ~ c3_1(a756) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f103,negated_conjecture,
( ~ hskp19
| ~ c0_1(a741) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ hskp18
| ~ c1_1(a739) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f108,negated_conjecture,
( ~ hskp16
| ~ c1_1(a732) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f111,negated_conjecture,
( ~ hskp14
| ~ c2_1(a730) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
fof(f114,negated_conjecture,
( ~ hskp12
| ~ c0_1(a725) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ hskp12
| ~ c1_1(a725) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ hskp11
| ~ c0_1(a721) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ hskp11
| ~ c1_1(a721) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f121,negated_conjecture,
( ~ hskp8
| ~ c0_1(a718) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ hskp8
| ~ c2_1(a718) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ hskp7
| ~ c2_1(a717) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f126,negated_conjecture,
( ~ hskp5
| ~ c0_1(a713) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
( ~ hskp5
| ~ c2_1(a713) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
( ~ hskp5
| ~ c3_1(a713) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f134,negated_conjecture,
( ~ hskp2
| ~ c0_1(a708) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f135,negated_conjecture,
( ~ hskp2
| ~ c3_1(a708) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f136,negated_conjecture,
( ~ hskp1
| ~ c1_1(a707) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f137,negated_conjecture,
( ~ hskp1
| ~ c2_1(a707) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f138,negated_conjecture,
( ~ hskp0
| ~ c0_1(a706) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f139,negated_conjecture,
( ~ hskp0
| ~ c1_1(a706) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f140,negated_conjecture,
( ~ hskp0
| ~ c2_1(a706) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f141,negated_conjecture,
! [X0] :
( hskp0
| hskp28
| c2_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f142,negated_conjecture,
! [X0] :
( hskp2
| hskp1
| c2_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f146,negated_conjecture,
! [X0] :
( hskp12
| hskp1
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f152,negated_conjecture,
! [X0] :
( hskp18
| hskp30
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f154,negated_conjecture,
! [X0] :
( hskp22
| hskp16
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f156,negated_conjecture,
! [X0] :
( hskp18
| hskp24
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f160,negated_conjecture,
! [X0] :
( hskp8
| hskp1
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f169,negated_conjecture,
! [X0] :
( hskp8
| hskp19
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f172,negated_conjecture,
! [X0] :
( hskp0
| hskp8
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f173,negated_conjecture,
! [X0,X1] :
( hskp29
| c3_1(X1)
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f178,negated_conjecture,
! [X0,X1] :
( c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
fof(f179,negated_conjecture,
! [X0,X1] :
( hskp13
| c3_1(X1)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f182,negated_conjecture,
! [X0,X1] :
( hskp11
| c2_1(X1)
| c0_1(X1)
| c1_1(X0)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f187,negated_conjecture,
! [X0,X1] :
( hskp23
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).
fof(f190,negated_conjecture,
! [X0,X1] :
( hskp2
| c0_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause190) ).
fof(f193,negated_conjecture,
! [X0,X1] :
( hskp19
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause193) ).
fof(f195,negated_conjecture,
! [X0,X1] :
( hskp25
| c1_1(X1)
| ~ c3_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause195) ).
fof(f198,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause198) ).
fof(f200,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c1_1(X2)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause200) ).
fof(f201,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_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',clause201) ).
fof(f202,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause202) ).
fof(f203,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c2_1(X2)
| c0_1(X2)
| c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause203) ).
fof(f204,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause204) ).
fof(f205,negated_conjecture,
! [X2,X0,X1] :
( c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause205) ).
fof(f206,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c1_1(X1)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause206) ).
fof(f207,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c3_1(X1)
| c3_1(X0)
| ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause207) ).
fof(f208,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c3_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause208) ).
tcf(c_264,negated_conjecture,
( ndr1_0
| ~ hskp24 ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_286,negated_conjecture,
( ndr1_0
| ~ hskp2 ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_287,negated_conjecture,
( ndr1_0
| ~ hskp1 ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_288,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_295,negated_conjecture,
( hskp1
| hskp2
| hskp24 ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_296,negated_conjecture,
( hskp7
| hskp8
| hskp14 ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_299,negated_conjecture,
( hskp8
| hskp11
| hskp22 ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_300,negated_conjecture,
( hskp5
| hskp11
| hskp18 ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_304,negated_conjecture,
( c0_1(a714)
| ~ hskp30 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_305,negated_conjecture,
( c2_1(a714)
| ~ hskp30 ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_306,negated_conjecture,
( c3_1(a714)
| ~ hskp30 ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_308,negated_conjecture,
( c2_1(a709)
| ~ hskp29 ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_309,negated_conjecture,
( c3_1(a709)
| ~ hskp29 ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_318,negated_conjecture,
( c0_1(a762)
| ~ hskp24 ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_319,negated_conjecture,
( c3_1(a762)
| ~ hskp24 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_320,negated_conjecture,
( c0_1(a757)
| ~ hskp23 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_321,negated_conjecture,
( c1_1(a757)
| ~ hskp23 ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_322,negated_conjecture,
( c1_1(a756)
| ~ hskp22 ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_323,negated_conjecture,
( c2_1(a756)
| ~ hskp22 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_327,negated_conjecture,
( c1_1(a741)
| ~ hskp19 ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_328,negated_conjecture,
( c3_1(a741)
| ~ hskp19 ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_329,negated_conjecture,
( c2_1(a739)
| ~ hskp18 ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_330,negated_conjecture,
( c3_1(a739)
| ~ hskp18 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_331,negated_conjecture,
( c0_1(a732)
| ~ hskp16 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_332,negated_conjecture,
( c3_1(a732)
| ~ hskp16 ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_334,negated_conjecture,
( c1_1(a730)
| ~ hskp14 ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_337,negated_conjecture,
( c2_1(a725)
| ~ hskp12 ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_338,negated_conjecture,
( c3_1(a721)
| ~ hskp11 ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_342,negated_conjecture,
( c1_1(a718)
| ~ hskp8 ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_343,negated_conjecture,
( c0_1(a717)
| ~ hskp7 ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_347,negated_conjecture,
( c1_1(a708)
| ~ hskp2 ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_348,negated_conjecture,
( c0_1(a707)
| ~ hskp1 ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_353,negated_conjecture,
( ~ hskp24
| ~ c2_1(a762) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_354,negated_conjecture,
( ~ hskp23
| ~ c2_1(a757) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_355,negated_conjecture,
( ~ hskp22
| ~ c3_1(a756) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_359,negated_conjecture,
( ~ hskp19
| ~ c0_1(a741) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_360,negated_conjecture,
( ~ hskp18
| ~ c1_1(a739) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_364,negated_conjecture,
( ~ hskp16
| ~ c1_1(a732) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_367,negated_conjecture,
( ~ hskp14
| ~ c2_1(a730) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_370,negated_conjecture,
( ~ hskp12
| ~ c0_1(a725) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_371,negated_conjecture,
( ~ hskp12
| ~ c1_1(a725) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_372,negated_conjecture,
( ~ hskp11
| ~ c0_1(a721) ),
inference(cnf_transformation,[],[f116]) ).
tcf(c_373,negated_conjecture,
( ~ hskp11
| ~ c1_1(a721) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_377,negated_conjecture,
( ~ hskp8
| ~ c0_1(a718) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_378,negated_conjecture,
( ~ hskp8
| ~ c2_1(a718) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_379,negated_conjecture,
( ~ hskp7
| ~ c2_1(a717) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_382,negated_conjecture,
( ~ hskp5
| ~ c0_1(a713) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_383,negated_conjecture,
( ~ hskp5
| ~ c2_1(a713) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_384,negated_conjecture,
( ~ hskp5
| ~ c3_1(a713) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_390,negated_conjecture,
( ~ hskp2
| ~ c0_1(a708) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_391,negated_conjecture,
( ~ hskp2
| ~ c3_1(a708) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_392,negated_conjecture,
( ~ hskp1
| ~ c1_1(a707) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_393,negated_conjecture,
( ~ hskp1
| ~ c2_1(a707) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_394,negated_conjecture,
( ~ hskp0
| ~ c0_1(a706) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_395,negated_conjecture,
( ~ hskp0
| ~ c1_1(a706) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_396,negated_conjecture,
( ~ hskp0
| ~ c2_1(a706) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_397,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp28
| c2_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_398,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp2
| c2_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_402,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp12
| c2_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_408,negated_conjecture,
! [X0: $i] :
( hskp18
| hskp30
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_410,negated_conjecture,
! [X0: $i] :
( hskp16
| hskp22
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_412,negated_conjecture,
! [X0: $i] :
( hskp18
| hskp24
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_416,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp8
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_425,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp19
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_428,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp8
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_429,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp29
| c2_1(X0)
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_434,negated_conjecture,
! [X0: $i,X1: $i] :
( c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_435,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c2_1(X0)
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_438,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c2_1(X0)
| c1_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_443,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp23
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_446,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_449,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp19
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_451,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp25
| c1_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_454,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_456,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_457,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_458,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_459,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_460,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_461,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_462,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c1_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_463,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X1)
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_464,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_503,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_288,c_295,c_287,c_286,c_264]) ).
tcf(c_570,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp2
| c2_1(X0)
| c1_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_398,c_295,c_287,c_286,c_264,c_398]) ).
tcf(c_573,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp28
| c2_1(X0)
| c1_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_397,c_295,c_287,c_286,c_264,c_397]) ).
tcf(c_582,negated_conjecture,
! [X0: $i] :
( hskp18
| hskp24
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_412,c_295,c_287,c_286,c_264,c_412]) ).
tcf(c_588,negated_conjecture,
! [X0: $i] :
( hskp16
| hskp22
| c2_1(X0)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_410,c_295,c_287,c_286,c_264,c_410]) ).
tcf(c_594,negated_conjecture,
! [X0: $i] :
( hskp18
| hskp30
| c2_1(X0)
| c1_1(X0)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_408,c_295,c_287,c_286,c_264,c_408]) ).
tcf(c_612,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp12
| c2_1(X0)
| c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_402,c_295,c_287,c_286,c_264,c_402]) ).
tcf(c_621,plain,
! [X0: $i] :
( hskp0
| hskp8
| c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_428,c_295,c_287,c_286,c_264,c_428]) ).
tcf(c_622,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp8
| c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_621]) ).
tcf(c_630,plain,
! [X0: $i] :
( hskp8
| hskp19
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_425,c_295,c_287,c_286,c_264,c_425]) ).
tcf(c_631,negated_conjecture,
! [X0: $i] :
( hskp8
| hskp19
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_630]) ).
tcf(c_657,plain,
! [X0: $i] :
( hskp1
| hskp8
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_416,c_295,c_287,c_286,c_264,c_416]) ).
tcf(c_658,negated_conjecture,
! [X0: $i] :
( hskp1
| hskp8
| c0_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_657]) ).
tcf(c_663,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp29
| c2_1(X0)
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_429,c_295,c_287,c_286,c_264,c_429]) ).
tcf(c_668,plain,
! [X0: $i,X1: $i] :
( hskp13
| c2_1(X0)
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_435,c_295,c_287,c_286,c_264,c_435]) ).
tcf(c_669,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp13
| c2_1(X0)
| c3_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_668]) ).
tcf(c_670,plain,
! [X0: $i,X1: $i] :
( c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_434,c_295,c_287,c_286,c_264,c_434]) ).
tcf(c_671,negated_conjecture,
! [X0: $i,X1: $i] :
( c2_1(X1)
| c3_1(X0)
| c1_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_670]) ).
tcf(c_682,plain,
! [X0: $i,X1: $i] :
( hskp23
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_443,c_295,c_287,c_286,c_264,c_443]) ).
tcf(c_683,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp23
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_682]) ).
tcf(c_693,plain,
! [X0: $i,X1: $i] :
( hskp11
| c2_1(X0)
| c1_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_438,c_295,c_287,c_286,c_264,c_438]) ).
tcf(c_694,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp11
| c2_1(X0)
| c1_1(X1)
| c0_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_693]) ).
tcf(c_703,plain,
! [X0: $i,X1: $i] :
( hskp2
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_446,c_295,c_287,c_286,c_264,c_446]) ).
tcf(c_704,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp2
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_703]) ).
tcf(c_709,plain,
! [X0: $i,X1: $i] :
( hskp25
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_451,c_295,c_287,c_286,c_264,c_451]) ).
tcf(c_710,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp25
| c1_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_709]) ).
tcf(c_714,plain,
! [X0: $i,X1: $i] :
( hskp19
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_449,c_295,c_287,c_286,c_264,c_449]) ).
tcf(c_715,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp19
| c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_714]) ).
tcf(c_718,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_456,c_295,c_287,c_286,c_264,c_456]) ).
tcf(c_719,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c2_1(X0)
| c1_1(X2)
| c1_1(X0)
| c0_1(X1)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_718]) ).
tcf(c_722,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_454,c_295,c_287,c_286,c_264,c_454]) ).
tcf(c_723,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X0)
| c3_1(X0)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_722]) ).
tcf(c_724,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_459,c_295,c_287,c_286,c_264,c_459]) ).
tcf(c_725,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c2_1(X1)
| c3_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_724]) ).
tcf(c_726,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_458,c_295,c_287,c_286,c_264,c_458]) ).
tcf(c_727,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0) ),
inference(renaming,[status(thm)],[c_726]) ).
tcf(c_729,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_457,c_295,c_287,c_286,c_264,c_457]) ).
tcf(c_730,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_729]) ).
tcf(c_731,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_460,c_460,c_503]) ).
tcf(c_732,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_731]) ).
tcf(c_733,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X1)
| c3_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_463,c_295,c_287,c_286,c_264,c_463]) ).
tcf(c_734,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X2)
| c3_1(X1)
| c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c0_1(X2)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_733]) ).
tcf(c_735,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c1_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X2)
| ~ c2_1(X0)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_462,c_295,c_287,c_286,c_264,c_462]) ).
tcf(c_736,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c1_1(X2)
| c0_1(X1)
| ~ c2_1(X2)
| ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_735]) ).
tcf(c_737,plain,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_461,c_295,c_287,c_286,c_264,c_461]) ).
tcf(c_738,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_737]) ).
tcf(c_739,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_464,c_295,c_287,c_286,c_264,c_464]) ).
tcf(c_740,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c0_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X2)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_739]) ).
tcf(c_4952,plain,
( hskp11
| hskp18
| ~ c3_1(a713) ),
inference(resolution,[status(thm)],[c_300,c_384]) ).
tcf(c_4962,plain,
( hskp11
| hskp18
| ~ c2_1(a713) ),
inference(resolution,[status(thm)],[c_300,c_383]) ).
tcf(c_4972,plain,
( hskp11
| hskp18
| ~ c0_1(a713) ),
inference(resolution,[status(thm)],[c_300,c_382]) ).
tcf(c_5204,plain,
( hskp7
| hskp8
| ~ c2_1(a730) ),
inference(resolution,[status(thm)],[c_296,c_367]) ).
tcf(c_5224,plain,
( hskp7
| hskp8
| c1_1(a730) ),
inference(resolution,[status(thm)],[c_296,c_334]) ).
tcf(c_8126,plain,
( hskp11
| hskp22
| ~ c2_1(a718) ),
inference(resolution,[status(thm)],[c_299,c_378]) ).
tcf(c_8136,plain,
( hskp11
| hskp22
| ~ c0_1(a718) ),
inference(resolution,[status(thm)],[c_299,c_377]) ).
tcf(c_8146,plain,
( hskp11
| hskp22
| c1_1(a718) ),
inference(resolution,[status(thm)],[c_299,c_342]) ).
tcf(c_18470,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_740]) ).
tcf(c_18474,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_738]) ).
tcf(c_18475,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_738]) ).
tcf(c_18478,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_736]) ).
tcf(c_18481,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_734]) ).
tcf(c_18483,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_732]) ).
tcf(c_18484,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_732]) ).
tcf(c_18485,negated_conjecture,
( iPr_def_20
| iPr_def_19
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_732]) ).
tcf(c_18486,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_730]) ).
tcf(c_18487,negated_conjecture,
( iPr_def_21
| iPr_def_19
| iPr_def_14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_730]) ).
tcf(c_18488,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_22
| c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_727]) ).
tcf(c_18489,negated_conjecture,
( iPr_def_22
| iPr_def_14
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_727]) ).
tcf(c_18490,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_23
| ~ c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_725]) ).
tcf(c_18491,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| c0_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_725]) ).
tcf(c_18492,negated_conjecture,
( iPr_def_24
| iPr_def_23
| iPr_def_21 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_725]) ).
tcf(c_18493,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| ~ c1_1(X0)
| c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_723]) ).
tcf(c_18494,negated_conjecture,
( iPr_def_25
| iPr_def_22
| iPr_def_14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_723]) ).
tcf(c_18496,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_26
| c1_1(X0)
| ~ c3_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_719]) ).
tcf(c_18497,negated_conjecture,
( iPr_def_26
| iPr_def_23
| iPr_def_16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_719]) ).
tcf(c_18501,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_29
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_715]) ).
tcf(c_18504,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_30
| ~ c0_1(X0)
| c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_710]) ).
tcf(c_18508,negated_conjecture,
( iPr_def_30
| iPr_def_29
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_704]) ).
tcf(c_18515,negated_conjecture,
( iPr_def_16
| iPr_def_13
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_694]) ).
tcf(c_18523,negated_conjecture,
( iPr_def_30
| iPr_def_26
| hskp23 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_683]) ).
tcf(c_18529,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_37
| ~ c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_671]) ).
tcf(c_18530,negated_conjecture,
( iPr_def_37
| iPr_def_26 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_671]) ).
tcf(c_18531,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_38
| c1_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_669]) ).
tcf(c_18534,negated_conjecture,
( iPr_def_24
| iPr_def_19
| hskp29 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_663]) ).
tcf(c_18537,negated_conjecture,
( iPr_def_29
| hskp1
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_658]) ).
tcf(c_18546,negated_conjecture,
( iPr_def_18
| hskp8
| hskp19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_631]) ).
tcf(c_18549,negated_conjecture,
( iPr_def_37
| hskp0
| hskp8 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_622]) ).
tcf(c_18552,negated_conjecture,
( iPr_def_16
| hskp1
| hskp12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_612]) ).
tcf(c_18559,negated_conjecture,
( iPr_def_23
| hskp18
| hskp30 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_594]) ).
tcf(c_18561,negated_conjecture,
( iPr_def_23
| hskp16
| hskp22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_588]) ).
tcf(c_18563,negated_conjecture,
( iPr_def_38
| hskp18
| hskp24 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_582]) ).
tcf(c_18566,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_41
| c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_573]) ).
tcf(c_18568,negated_conjecture,
( iPr_def_41
| hskp1
| hskp2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_570]) ).
tcf(c_18602,plain,
( c0_1(a709)
| ~ iPr_def_10
| ~ c2_1(a709)
| ~ c3_1(a709) ),
inference(instantiation,[status(thm)],[c_18470]) ).
tcf(c_18603,plain,
( c0_1(a739)
| ~ iPr_def_10
| ~ c2_1(a739)
| ~ c3_1(a739) ),
inference(instantiation,[status(thm)],[c_18470]) ).
tcf(c_18604,plain,
( c0_1(a725)
| ~ iPr_def_10
| ~ c2_1(a725)
| ~ c3_1(a725) ),
inference(instantiation,[status(thm)],[c_18470]) ).
tcf(c_18611,plain,
( c1_1(a739)
| ~ iPr_def_13
| ~ c2_1(a739)
| ~ c3_1(a739) ),
inference(instantiation,[status(thm)],[c_18474]) ).
tcf(c_18612,plain,
( c1_1(a725)
| ~ iPr_def_13
| ~ c2_1(a725)
| ~ c3_1(a725) ),
inference(instantiation,[status(thm)],[c_18474]) ).
tcf(c_18619,plain,
( c2_1(a718)
| c0_1(a718)
| ~ iPr_def_16
| ~ c1_1(a718) ),
inference(instantiation,[status(thm)],[c_18478]) ).
tcf(c_18621,plain,
( c2_1(a708)
| c0_1(a708)
| ~ iPr_def_16
| ~ c1_1(a708) ),
inference(instantiation,[status(thm)],[c_18478]) ).
tcf(c_18623,plain,
( ~ iPr_def_21
| ~ c2_1(a709)
| ~ c3_1(a709)
| ~ c0_1(a709) ),
inference(instantiation,[status(thm)],[c_18486]) ).
tcf(c_18624,plain,
( ~ iPr_def_21
| ~ c2_1(a739)
| ~ c3_1(a739)
| ~ c0_1(a739) ),
inference(instantiation,[status(thm)],[c_18486]) ).
tcf(c_18627,plain,
( c1_1(a739)
| c0_1(a739)
| ~ iPr_def_22
| ~ c3_1(a739) ),
inference(instantiation,[status(thm)],[c_18488]) ).
tcf(c_18630,plain,
( c1_1(a725)
| c0_1(a725)
| ~ iPr_def_22
| ~ c3_1(a725) ),
inference(instantiation,[status(thm)],[c_18488]) ).
tcf(c_18640,plain,
( c2_1(a708)
| c3_1(a708)
| ~ iPr_def_25
| ~ c1_1(a708) ),
inference(instantiation,[status(thm)],[c_18493]) ).
tcf(c_18648,plain,
( c2_1(a706)
| c1_1(a706)
| ~ iPr_def_26
| ~ c3_1(a706) ),
inference(instantiation,[status(thm)],[c_18496]) ).
tcf(c_18663,plain,
( c0_1(a741)
| ~ iPr_def_29
| ~ c3_1(a741)
| ~ c1_1(a741) ),
inference(instantiation,[status(thm)],[c_18501]) ).
tcf(c_18677,plain,
( c2_1(a707)
| c1_1(a707)
| ~ iPr_def_23
| ~ c0_1(a707) ),
inference(instantiation,[status(thm)],[c_18490]) ).
tcf(c_18699,plain,
( c2_1(a713)
| c3_1(a713)
| c0_1(a713)
| ~ iPr_def_24 ),
inference(instantiation,[status(thm)],[c_18491]) ).
tcf(c_18701,plain,
( c2_1(a706)
| c3_1(a706)
| c0_1(a706)
| ~ iPr_def_24 ),
inference(instantiation,[status(thm)],[c_18491]) ).
tcf(c_18757,plain,
( c2_1(a717)
| c1_1(a717)
| ~ iPr_def_23
| ~ c0_1(a717) ),
inference(instantiation,[status(thm)],[c_18490]) ).
tcf(c_18810,plain,
( ~ iPr_def_21
| ~ c2_1(a714)
| ~ c3_1(a714)
| ~ c0_1(a714) ),
inference(instantiation,[status(thm)],[c_18486]) ).
tcf(c_18832,plain,
( c2_1(a721)
| c1_1(a721)
| ~ iPr_def_26
| ~ c3_1(a721) ),
inference(instantiation,[status(thm)],[c_18496]) ).
tcf(c_18833,plain,
( c1_1(a721)
| c0_1(a721)
| ~ iPr_def_22
| ~ c3_1(a721) ),
inference(instantiation,[status(thm)],[c_18488]) ).
tcf(c_18836,plain,
( ~ iPr_def_20
| ~ c3_1(a762)
| ~ c1_1(a762)
| ~ c0_1(a762) ),
inference(instantiation,[status(thm)],[c_18484]) ).
tcf(c_18857,plain,
( c2_1(a721)
| c1_1(a721)
| c0_1(a721)
| ~ iPr_def_41 ),
inference(instantiation,[status(thm)],[c_18566]) ).
tcf(c_18950,plain,
( c2_1(a757)
| ~ iPr_def_18
| ~ c1_1(a757)
| ~ c0_1(a757) ),
inference(instantiation,[status(thm)],[c_18481]) ).
tcf(c_18984,plain,
( c1_1(a739)
| c0_1(a739)
| ~ iPr_def_14
| ~ c2_1(a739) ),
inference(instantiation,[status(thm)],[c_18475]) ).
tcf(c_18986,plain,
( c1_1(a725)
| c0_1(a725)
| ~ iPr_def_14
| ~ c2_1(a725) ),
inference(instantiation,[status(thm)],[c_18475]) ).
tcf(c_18999,plain,
( c3_1(a756)
| ~ iPr_def_37
| ~ c2_1(a756)
| ~ c1_1(a756) ),
inference(instantiation,[status(thm)],[c_18529]) ).
tcf(c_19002,plain,
( c3_1(a708)
| ~ iPr_def_37
| ~ c2_1(a708)
| ~ c1_1(a708) ),
inference(instantiation,[status(thm)],[c_18529]) ).
tcf(c_19057,plain,
( c0_1(a721)
| ~ iPr_def_10
| ~ c2_1(a721)
| ~ c3_1(a721) ),
inference(instantiation,[status(thm)],[c_18470]) ).
tcf(c_19062,plain,
( c2_1(a730)
| c0_1(a730)
| ~ iPr_def_16
| ~ c1_1(a730) ),
inference(instantiation,[status(thm)],[c_18478]) ).
tcf(c_19067,plain,
( c1_1(a721)
| c0_1(a721)
| ~ iPr_def_14
| ~ c2_1(a721) ),
inference(instantiation,[status(thm)],[c_18475]) ).
tcf(c_19079,plain,
( c1_1(a732)
| ~ iPr_def_30
| ~ c3_1(a732)
| ~ c0_1(a732) ),
inference(instantiation,[status(thm)],[c_18504]) ).
tcf(c_19195,plain,
( c2_1(a762)
| c1_1(a762)
| ~ iPr_def_23
| ~ c0_1(a762) ),
inference(instantiation,[status(thm)],[c_18490]) ).
tcf(c_19232,plain,
( c2_1(a730)
| ~ iPr_def_18
| ~ c1_1(a730)
| ~ c0_1(a730) ),
inference(instantiation,[status(thm)],[c_18481]) ).
tcf(c_19236,plain,
( c2_1(a717)
| ~ iPr_def_18
| ~ c1_1(a717)
| ~ c0_1(a717) ),
inference(instantiation,[status(thm)],[c_18481]) ).
tcf(c_19296,plain,
( c3_1(a725)
| c1_1(a725)
| c0_1(a725)
| ~ iPr_def_19 ),
inference(instantiation,[status(thm)],[c_18483]) ).
tcf(c_19298,plain,
( c3_1(a725)
| c1_1(a725)
| ~ iPr_def_38
| ~ c2_1(a725) ),
inference(instantiation,[status(thm)],[c_18531]) ).
tcf(c_19525,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_19296,c_19298,c_19236,c_19232,c_19195,c_19079,c_19067,c_19062,c_19057,c_19002,c_18999,c_18986,c_18984,c_18950,c_18857,c_18836,c_18832,c_18833,c_18810,c_18757,c_18701,c_18699,c_18677,c_18663,c_18648,c_18640,c_18630,c_18627,c_18624,c_18623,c_18621,c_18619,c_18612,c_18611,c_18604,c_18603,c_18602,c_18568,c_18563,c_18561,c_18559,c_18552,c_18549,c_18546,c_18537,c_18534,c_18523,c_18515,c_18508,c_18497,c_18494,c_18492,c_18489,c_18487,c_18485,c_18530,c_8146,c_8136,c_8126,c_5224,c_5204,c_4972,c_4962,c_4952,c_353,c_354,c_355,c_359,c_360,c_364,c_367,c_370,c_371,c_372,c_373,c_377,c_378,c_379,c_390,c_391,c_392,c_393,c_394,c_395,c_396,c_304,c_305,c_306,c_308,c_309,c_318,c_319,c_320,c_321,c_322,c_323,c_327,c_328,c_329,c_330,c_331,c_332,c_334,c_337,c_338,c_342,c_343,c_347,c_348,c_296]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN508-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/6.22 % Computer : n010.cluster.edu
% 0.11/6.22 % Model : x86_64 x86_64
% 0.11/6.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/6.22 % Memory : 8046.5625MB
% 0.11/6.22 % OS : Linux 6.8.0-71-generic
% 0.11/6.22 % CPULimit : 300
% 0.11/6.22 % WCLimit : 300
% 0.11/6.22 % DateTime : Fri Sep 25 01:37:43 UTC 2026
% 0.11/6.22 % CPUTime :
% 0.11/6.22 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/6.26 Running EPR theorem proving
% 0.11/6.26 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
% 0.11/6.27
% 0.11/6.27 % ======== iProver multi-core TPTP/SMT =========
% 0.11/6.27
% 0.11/6.27 % Detected problem language: tptp
% 0.11/6.28 % Proving...
% 0.69/7.01 % SZS status Started for theBenchmark.p
% 0.69/7.01 % SZS status Unsatisfiable for theBenchmark.p
% 0.69/7.01
% 0.69/7.01 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.69/7.01
% 0.69/7.01 % ------ iProver source info
% 0.69/7.01
% 0.69/7.01 % git: date: 2026-07-19 20:42:38 +0200
% 0.69/7.01 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.69/7.01 % git: non_committed_changes: false
% 0.69/7.01
% 0.69/7.01 % ------ Parsing...% successful
% 0.69/7.01
% 0.69/7.01
% 0.69/7.01 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.69/7.01 %
% 0.69/7.01
% 0.69/7.01 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.69/7.01
% 0.69/7.01 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 0.69/7.01 gs_s sp: 116 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.69/7.01 % ------ Proving...
% 0.69/7.01 % ------ Problem Properties
% 0.69/7.01
% 0.69/7.01 %
% 0.69/7.01 % clauses 208
% 0.69/7.01 % conjectures 208
% 0.69/7.01 % EPR 208
% 0.69/7.01 % Horn 112
% 0.69/7.01 % unary 0
% 0.69/7.01 % binary 97
% 0.69/7.01 % lits 559
% 0.69/7.01 % lits eq 0
% 0.69/7.01 % fd_pure 0
% 0.69/7.01 % fd_pseudo 0
% 0.69/7.01 % fd_cond 0
% 0.69/7.01 % fd_pseudo_cond 0
% 0.69/7.01 % AC symbols 0
% 0.69/7.01
% 0.69/7.01 % ------ Schedule EPR non Horn non eq is on
% 0.69/7.01
% 0.69/7.01 % ------ no equalities: superposition off
% 0.69/7.01
% 0.69/7.01 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.69/7.01
% 0.69/7.01
% 0.69/7.01 % ------
% 0.69/7.01 % Current options:
% 0.69/7.01 % ------
% 0.69/7.01
% 0.69/7.01
% 0.69/7.01 %
% 0.69/7.01
% 0.69/7.01 % ------ Proving...
% 0.69/7.01 %
% 0.69/7.01
% 0.69/7.01 % SZS status Unsatisfiable for theBenchmark.p
% 0.69/7.01
% 0.69/7.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.69/7.02
% 0.69/7.02
%------------------------------------------------------------------------------