%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN448-1 : 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 : n026.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 03:40:16 PM UTC 2026
% Result : Unsatisfiable 1.69s 11.56s
% Output : CNFRefutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 96
% Syntax : Number of formulae : 366 ( 2 unt; 0 def)
% Number of atoms : 1527 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 1879 ( 718 ~;1161 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 48 ( 47 usr; 44 prp; 0-1 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 231 ( 0 sgn 231 !; 0 ?; 174 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( hskp11
| hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f19,negated_conjecture,
( ndr1_0
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
fof(f25,negated_conjecture,
( ndr1_0
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f30,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f31,negated_conjecture,
( hskp17
| hskp22
| hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f34,negated_conjecture,
( hskp20
| hskp23
| hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f37,negated_conjecture,
( hskp12
| hskp6
| hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f41,negated_conjecture,
( c0_1(a473)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f42,negated_conjecture,
( c1_1(a473)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( c3_1(a473)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( c1_1(a470)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f46,negated_conjecture,
( c3_1(a470)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f47,negated_conjecture,
( c0_1(a461)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f48,negated_conjecture,
( c2_1(a461)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f49,negated_conjecture,
( c3_1(a461)
| ~ hskp25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f51,negated_conjecture,
( c0_1(a533)
| ~ hskp23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( c0_1(a524)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( c1_1(a524)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f56,negated_conjecture,
( c2_1(a503)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f57,negated_conjecture,
( c3_1(a503)
| ~ hskp20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f58,negated_conjecture,
( c2_1(a502)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( c3_1(a502)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( c1_1(a500)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( c2_1(a500)
| ~ hskp18 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f63,negated_conjecture,
( c1_1(a492)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( c3_1(a492)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f67,negated_conjecture,
( c2_1(a478)
| ~ hskp11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f70,negated_conjecture,
( c0_1(a476)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( c2_1(a476)
| ~ hskp9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f74,negated_conjecture,
( c3_1(a474)
| ~ hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f75,negated_conjecture,
( c2_1(a471)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f79,negated_conjecture,
( c1_1(a466)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( c3_1(a466)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f81,negated_conjecture,
( c2_1(a463)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f82,negated_conjecture,
( c0_1(a460)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f85,negated_conjecture,
( ~ hskp23
| ~ c1_1(a533) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f86,negated_conjecture,
( ~ hskp23
| ~ c3_1(a533) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f87,negated_conjecture,
( ~ hskp22
| ~ c2_1(a524) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f89,negated_conjecture,
( ~ hskp20
| ~ c1_1(a503) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f90,negated_conjecture,
( ~ hskp19
| ~ c0_1(a502) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f91,negated_conjecture,
( ~ hskp18
| ~ c0_1(a500) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f92,negated_conjecture,
( ~ hskp17
| ~ c0_1(a494) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f93,negated_conjecture,
( ~ hskp17
| ~ c1_1(a494) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f94,negated_conjecture,
( ~ hskp17
| ~ c3_1(a494) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f97,negated_conjecture,
( ~ hskp15
| ~ c2_1(a492) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f98,negated_conjecture,
( ~ hskp14
| ~ c1_1(a488) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ hskp14
| ~ c2_1(a488) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ hskp14
| ~ c3_1(a488) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f102,negated_conjecture,
( ~ hskp12
| ~ c0_1(a480) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ hskp12
| ~ c1_1(a480) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ hskp12
| ~ c2_1(a480) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ hskp11
| ~ c0_1(a478) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ hskp11
| ~ c3_1(a478) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f108,negated_conjecture,
( ~ hskp9
| ~ c1_1(a476) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f110,negated_conjecture,
( ~ hskp7
| ~ c1_1(a474) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ hskp7
| ~ c2_1(a474) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
fof(f112,negated_conjecture,
( ~ hskp6
| ~ c1_1(a471) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f113,negated_conjecture,
( ~ hskp6
| ~ c3_1(a471) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f117,negated_conjecture,
( ~ hskp3
| ~ c0_1(a466) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ hskp2
| ~ c0_1(a465) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ hskp2
| ~ c2_1(a465) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f120,negated_conjecture,
( ~ hskp2
| ~ c3_1(a465) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f121,negated_conjecture,
( ~ hskp1
| ~ c0_1(a463) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f122,negated_conjecture,
( ~ hskp1
| ~ c1_1(a463) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f123,negated_conjecture,
( ~ hskp0
| ~ c2_1(a460) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
( ~ hskp0
| ~ c3_1(a460) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
! [X0] :
( hskp1
| hskp0
| c2_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
! [X0] :
( hskp15
| hskp3
| c3_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f127,negated_conjecture,
! [X0] :
( hskp2
| hskp6
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f128,negated_conjecture,
! [X0] :
( hskp12
| hskp0
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f133,negated_conjecture,
! [X0] :
( hskp20
| hskp19
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f134,negated_conjecture,
! [X0] :
( hskp14
| hskp12
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f135,negated_conjecture,
! [X0] :
( hskp7
| hskp11
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f137,negated_conjecture,
! [X0] :
( hskp12
| hskp3
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f138,negated_conjecture,
! [X0] :
( hskp20
| hskp18
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f142,negated_conjecture,
! [X0,X1] :
( hskp0
| 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',clause142) ).
fof(f143,negated_conjecture,
! [X0,X1] :
( hskp27
| c3_1(X1)
| c2_1(X1)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f144,negated_conjecture,
! [X0,X1] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
fof(f145,negated_conjecture,
! [X0,X1] :
( hskp25
| c2_1(X1)
| c1_1(X1)
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
fof(f146,negated_conjecture,
! [X0,X1] :
( hskp7
| 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',clause146) ).
fof(f151,negated_conjecture,
! [X0,X1] :
( hskp12
| c3_1(X1)
| c1_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f155,negated_conjecture,
! [X0,X1] :
( hskp9
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f156,negated_conjecture,
! [X0,X1] :
( hskp9
| c0_1(X1)
| c2_1(X0)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f157,negated_conjecture,
! [X0,X1] :
( hskp9
| c0_1(X1)
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
fof(f159,negated_conjecture,
! [X0,X1] :
( hskp21
| 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',clause159) ).
fof(f160,negated_conjecture,
! [X0,X1] :
( hskp26
| 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',clause160) ).
fof(f164,negated_conjecture,
! [X0,X1] :
( hskp9
| c1_1(X1)
| c1_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f166,negated_conjecture,
! [X0,X1] :
( hskp3
| 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',clause166) ).
fof(f168,negated_conjecture,
! [X0,X1] :
( hskp14
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f170,negated_conjecture,
! [X0,X1] :
( hskp17
| c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f171,negated_conjecture,
! [X2,X0,X1] :
( c3_1(X2)
| c1_1(X2)
| c0_1(X2)
| c3_1(X1)
| c2_1(X1)
| c1_1(X1)
| c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f172,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| c3_1(X0)
| c2_1(X0)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f173,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c1_1(X2)
| c0_1(X2)
| c1_1(X1)
| c3_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f174,negated_conjecture,
! [X2,X0,X1] :
( c2_1(X2)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X2)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f175,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X1)
| c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f176,negated_conjecture,
! [X2,X0,X1] :
( c0_1(X2)
| c3_1(X1)
| c1_1(X1)
| c2_1(X0)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
tcf(c_225,negated_conjecture,
( hskp11
| hskp5 ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_243,negated_conjecture,
( ndr1_0
| ~ hskp11 ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_249,negated_conjecture,
( ndr1_0
| ~ hskp5 ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_254,negated_conjecture,
( ndr1_0
| ~ hskp0 ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_255,negated_conjecture,
( hskp17
| hskp22
| hskp27 ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_258,negated_conjecture,
( hskp9
| hskp20
| hskp23 ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_261,negated_conjecture,
( hskp6
| hskp12
| hskp20 ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_265,negated_conjecture,
( c0_1(a473)
| ~ hskp27 ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_266,negated_conjecture,
( c1_1(a473)
| ~ hskp27 ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_267,negated_conjecture,
( c3_1(a473)
| ~ hskp27 ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_268,negated_conjecture,
( c1_1(a470)
| ~ hskp26 ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_270,negated_conjecture,
( c3_1(a470)
| ~ hskp26 ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_271,negated_conjecture,
( c0_1(a461)
| ~ hskp25 ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_272,negated_conjecture,
( c2_1(a461)
| ~ hskp25 ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_273,negated_conjecture,
( c3_1(a461)
| ~ hskp25 ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_275,negated_conjecture,
( c0_1(a533)
| ~ hskp23 ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_276,negated_conjecture,
( c0_1(a524)
| ~ hskp22 ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_277,negated_conjecture,
( c1_1(a524)
| ~ hskp22 ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_280,negated_conjecture,
( c2_1(a503)
| ~ hskp20 ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_281,negated_conjecture,
( c3_1(a503)
| ~ hskp20 ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_282,negated_conjecture,
( c2_1(a502)
| ~ hskp19 ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_283,negated_conjecture,
( c3_1(a502)
| ~ hskp19 ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_284,negated_conjecture,
( c1_1(a500)
| ~ hskp18 ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_285,negated_conjecture,
( c2_1(a500)
| ~ hskp18 ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_287,negated_conjecture,
( c1_1(a492)
| ~ hskp15 ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_288,negated_conjecture,
( c3_1(a492)
| ~ hskp15 ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_291,negated_conjecture,
( c2_1(a478)
| ~ hskp11 ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_294,negated_conjecture,
( c0_1(a476)
| ~ hskp9 ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_295,negated_conjecture,
( c2_1(a476)
| ~ hskp9 ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_298,negated_conjecture,
( c3_1(a474)
| ~ hskp7 ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_299,negated_conjecture,
( c2_1(a471)
| ~ hskp6 ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_303,negated_conjecture,
( c1_1(a466)
| ~ hskp3 ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_304,negated_conjecture,
( c3_1(a466)
| ~ hskp3 ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_305,negated_conjecture,
( c2_1(a463)
| ~ hskp1 ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_306,negated_conjecture,
( c0_1(a460)
| ~ hskp0 ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_309,negated_conjecture,
( ~ hskp23
| ~ c1_1(a533) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_310,negated_conjecture,
( ~ hskp23
| ~ c3_1(a533) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_311,negated_conjecture,
( ~ hskp22
| ~ c2_1(a524) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_313,negated_conjecture,
( ~ hskp20
| ~ c1_1(a503) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_314,negated_conjecture,
( ~ hskp19
| ~ c0_1(a502) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_315,negated_conjecture,
( ~ hskp18
| ~ c0_1(a500) ),
inference(cnf_transformation,[],[f91]) ).
tcf(c_316,negated_conjecture,
( ~ hskp17
| ~ c0_1(a494) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_317,negated_conjecture,
( ~ hskp17
| ~ c1_1(a494) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_318,negated_conjecture,
( ~ hskp17
| ~ c3_1(a494) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_321,negated_conjecture,
( ~ hskp15
| ~ c2_1(a492) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_322,negated_conjecture,
( ~ hskp14
| ~ c1_1(a488) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_323,negated_conjecture,
( ~ hskp14
| ~ c2_1(a488) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_324,negated_conjecture,
( ~ hskp14
| ~ c3_1(a488) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_326,negated_conjecture,
( ~ hskp12
| ~ c0_1(a480) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_327,negated_conjecture,
( ~ hskp12
| ~ c1_1(a480) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_328,negated_conjecture,
( ~ hskp12
| ~ c2_1(a480) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_329,negated_conjecture,
( ~ hskp11
| ~ c0_1(a478) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_330,negated_conjecture,
( ~ hskp11
| ~ c3_1(a478) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_332,negated_conjecture,
( ~ hskp9
| ~ c1_1(a476) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_334,negated_conjecture,
( ~ hskp7
| ~ c1_1(a474) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_335,negated_conjecture,
( ~ hskp7
| ~ c2_1(a474) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_336,negated_conjecture,
( ~ hskp6
| ~ c1_1(a471) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_337,negated_conjecture,
( ~ hskp6
| ~ c3_1(a471) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_341,negated_conjecture,
( ~ hskp3
| ~ c0_1(a466) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_342,negated_conjecture,
( ~ hskp2
| ~ c0_1(a465) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_343,negated_conjecture,
( ~ hskp2
| ~ c2_1(a465) ),
inference(cnf_transformation,[],[f119]) ).
tcf(c_344,negated_conjecture,
( ~ hskp2
| ~ c3_1(a465) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_345,negated_conjecture,
( ~ hskp1
| ~ c0_1(a463) ),
inference(cnf_transformation,[],[f121]) ).
tcf(c_346,negated_conjecture,
( ~ hskp1
| ~ c1_1(a463) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_347,negated_conjecture,
( ~ hskp0
| ~ c2_1(a460) ),
inference(cnf_transformation,[],[f123]) ).
tcf(c_348,negated_conjecture,
( ~ hskp0
| ~ c3_1(a460) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_349,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp1
| c2_1(X0)
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_350,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp15
| c3_1(X0)
| c2_1(X0)
| c1_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_351,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp6
| c1_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_352,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp12
| c3_1(X0)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_357,negated_conjecture,
! [X0: $i] :
( hskp19
| hskp20
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_358,negated_conjecture,
! [X0: $i] :
( hskp12
| hskp14
| c3_1(X0)
| c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_359,negated_conjecture,
! [X0: $i] :
( hskp7
| hskp11
| c3_1(X0)
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_361,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp12
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_362,negated_conjecture,
! [X0: $i] :
( hskp18
| hskp20
| c2_1(X0)
| ~ ndr1_0
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_366,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X1)
| c3_1(X0)
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_367,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c0_1(X0)
| ~ ndr1_0 ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_368,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_369,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp25
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_370,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_375,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp12
| c3_1(X1)
| c3_1(X0)
| c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_379,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_380,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_381,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_383,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp21
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_384,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp26
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_388,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_390,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c2_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_392,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_394,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c1_1(X1)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_395,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_396,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_397,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_398,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_399,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c0_1(X1)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_400,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ ndr1_0
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_423,negated_conjecture,
ndr1_0,
inference(global_subsumption_just,[status(thm)],[c_254,c_225,c_249,c_243]) ).
tcf(c_481,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp15
| c3_1(X0)
| c2_1(X0)
| c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_350,c_225,c_249,c_243,c_350]) ).
tcf(c_484,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp1
| c2_1(X0)
| c1_1(X0)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_349,c_225,c_249,c_243,c_349]) ).
tcf(c_487,negated_conjecture,
! [X0: $i] :
( hskp7
| hskp11
| c3_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_359,c_225,c_249,c_243,c_359]) ).
tcf(c_490,negated_conjecture,
! [X0: $i] :
( hskp12
| hskp14
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_358,c_225,c_249,c_243,c_358]) ).
tcf(c_493,negated_conjecture,
! [X0: $i] :
( hskp19
| hskp20
| c3_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_357,c_225,c_249,c_243,c_357]) ).
tcf(c_508,negated_conjecture,
! [X0: $i] :
( hskp0
| hskp12
| c3_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_352,c_225,c_249,c_243,c_352]) ).
tcf(c_511,negated_conjecture,
! [X0: $i] :
( hskp2
| hskp6
| c1_1(X0)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_351,c_225,c_249,c_243,c_351]) ).
tcf(c_523,plain,
! [X0: $i] :
( hskp18
| hskp20
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_362,c_225,c_249,c_243,c_362]) ).
tcf(c_524,negated_conjecture,
! [X0: $i] :
( hskp18
| hskp20
| c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_523]) ).
tcf(c_526,plain,
! [X0: $i] :
( hskp3
| hskp12
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_361,c_225,c_249,c_243,c_361]) ).
tcf(c_527,negated_conjecture,
! [X0: $i] :
( hskp3
| hskp12
| c1_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_526]) ).
tcf(c_532,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp27
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c1_1(X1)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_367,c_225,c_249,c_243,c_367]) ).
tcf(c_535,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c3_1(X1)
| c3_1(X0)
| c2_1(X0)
| c1_1(X1)
| c0_1(X1)
| c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_366,c_225,c_249,c_243,c_366]) ).
tcf(c_538,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp7
| c3_1(X1)
| c3_1(X0)
| c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_370,c_225,c_249,c_243,c_370]) ).
tcf(c_540,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp25
| c3_1(X0)
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_369,c_225,c_249,c_243,c_369]) ).
tcf(c_542,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp0
| c2_1(X1)
| c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_368,c_225,c_249,c_243,c_368]) ).
tcf(c_544,plain,
! [X0: $i,X1: $i] :
( hskp12
| c3_1(X1)
| c3_1(X0)
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_375,c_225,c_249,c_243,c_375]) ).
tcf(c_545,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp12
| c3_1(X1)
| c3_1(X0)
| c2_1(X0)
| c1_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_544]) ).
tcf(c_555,plain,
! [X0: $i,X1: $i] :
( hskp21
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_383,c_225,c_249,c_243,c_383]) ).
tcf(c_556,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp21
| c3_1(X1)
| c2_1(X1)
| c2_1(X0)
| ~ c3_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_555]) ).
tcf(c_559,plain,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_381,c_225,c_249,c_243,c_381]) ).
tcf(c_560,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c3_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_559]) ).
tcf(c_561,plain,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_380,c_380,c_423]) ).
tcf(c_562,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X0)
| c1_1(X0)
| c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_561]) ).
tcf(c_563,plain,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_379,c_225,c_249,c_243,c_379]) ).
tcf(c_564,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c2_1(X1)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0) ),
inference(renaming,[status(thm)],[c_563]) ).
tcf(c_571,plain,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_390,c_225,c_249,c_243,c_390]) ).
tcf(c_572,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp3
| c3_1(X1)
| c2_1(X1)
| ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_571]) ).
tcf(c_575,plain,
! [X0: $i,X1: $i] :
( hskp9
| c1_1(X1)
| c1_1(X0)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_388,c_225,c_249,c_243,c_388]) ).
tcf(c_576,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp9
| c1_1(X1)
| c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_575]) ).
tcf(c_584,plain,
! [X0: $i,X1: $i] :
( hskp26
| c1_1(X1)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_384,c_225,c_249,c_243,c_384]) ).
tcf(c_585,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp26
| c1_1(X1)
| c0_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_584]) ).
tcf(c_586,plain,
! [X0: $i,X1: $i] :
( hskp17
| c1_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_394,c_225,c_249,c_243,c_394]) ).
tcf(c_587,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp17
| c1_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_586]) ).
tcf(c_591,plain,
! [X0: $i,X1: $i] :
( hskp14
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_392,c_225,c_249,c_243,c_392]) ).
tcf(c_592,negated_conjecture,
! [X0: $i,X1: $i] :
( hskp14
| c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_591]) ).
tcf(c_595,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X1)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(global_subsumption_just,[status(thm)],[c_395,c_225,c_249,c_243,c_395]) ).
tcf(c_596,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c3_1(X1)
| c3_1(X0)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X1)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_595]) ).
tcf(c_597,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_396,c_225,c_249,c_243,c_396]) ).
tcf(c_598,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c2_1(X0)
| c1_1(X2)
| c0_1(X2)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X1)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_597]) ).
tcf(c_599,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_397,c_225,c_249,c_243,c_397]) ).
tcf(c_600,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X0)
| c2_1(X2)
| c1_1(X2)
| c1_1(X1)
| c0_1(X2)
| ~ c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_599]) ).
tcf(c_601,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_400,c_225,c_249,c_243,c_400]) ).
tcf(c_602,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X1)
| c2_1(X0)
| c1_1(X1)
| c0_1(X2)
| ~ c3_1(X2)
| ~ c2_1(X2)
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_601]) ).
tcf(c_603,plain,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c0_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X1)
| ~ c3_1(X0)
| ~ c3_1(X1) ),
inference(global_subsumption_just,[status(thm)],[c_399,c_225,c_249,c_243,c_399]) ).
tcf(c_604,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c3_1(X2)
| c2_1(X2)
| c1_1(X2)
| c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c0_1(X0) ),
inference(renaming,[status(thm)],[c_603]) ).
tcf(c_605,plain,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c1_1(X0)
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X0)
| ~ c3_1(X2) ),
inference(global_subsumption_just,[status(thm)],[c_398,c_225,c_249,c_243,c_398]) ).
tcf(c_606,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( c2_1(X1)
| c0_1(X2)
| c0_1(X1)
| c0_1(X0)
| ~ c3_1(X2)
| ~ c3_1(X0)
| ~ c2_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X0) ),
inference(renaming,[status(thm)],[c_605]) ).
tcf(c_1694,plain,
( hskp9
| hskp20
| ~ c3_1(a533) ),
inference(resolution,[status(thm)],[c_258,c_310]) ).
tcf(c_1704,plain,
( hskp9
| hskp20
| ~ c1_1(a533) ),
inference(resolution,[status(thm)],[c_258,c_309]) ).
tcf(c_1714,plain,
( hskp9
| hskp20
| c0_1(a533) ),
inference(resolution,[status(thm)],[c_258,c_275]) ).
tcf(c_1733,plain,
( hskp17
| hskp27
| ~ c2_1(a524) ),
inference(resolution,[status(thm)],[c_255,c_311]) ).
tcf(c_1743,plain,
( hskp17
| hskp27
| c1_1(a524) ),
inference(resolution,[status(thm)],[c_255,c_277]) ).
tcf(c_1753,plain,
( hskp17
| hskp27
| c0_1(a524) ),
inference(resolution,[status(thm)],[c_255,c_276]) ).
tcf(c_4178,plain,
( hskp9
| c0_1(a533)
| ~ c1_1(a503) ),
inference(resolution,[status(thm)],[c_1714,c_313]) ).
tcf(c_4188,plain,
( hskp9
| c3_1(a503)
| c0_1(a533) ),
inference(resolution,[status(thm)],[c_1714,c_281]) ).
tcf(c_4198,plain,
( hskp9
| c2_1(a503)
| c0_1(a533) ),
inference(resolution,[status(thm)],[c_1714,c_280]) ).
tcf(c_4208,plain,
( hskp9
| ~ c1_1(a503)
| ~ c1_1(a533) ),
inference(resolution,[status(thm)],[c_1704,c_313]) ).
tcf(c_4218,plain,
( hskp9
| c3_1(a503)
| ~ c1_1(a533) ),
inference(resolution,[status(thm)],[c_1704,c_281]) ).
tcf(c_4228,plain,
( hskp9
| c2_1(a503)
| ~ c1_1(a533) ),
inference(resolution,[status(thm)],[c_1704,c_280]) ).
tcf(c_4238,plain,
( hskp9
| ~ c3_1(a533)
| ~ c1_1(a503) ),
inference(resolution,[status(thm)],[c_1694,c_313]) ).
tcf(c_4248,plain,
( hskp9
| c3_1(a503)
| ~ c3_1(a533) ),
inference(resolution,[status(thm)],[c_1694,c_281]) ).
tcf(c_4258,plain,
( hskp9
| c2_1(a503)
| ~ c3_1(a533) ),
inference(resolution,[status(thm)],[c_1694,c_280]) ).
tcf(c_4370,plain,
( hskp6
| hskp12
| ~ c1_1(a503) ),
inference(resolution,[status(thm)],[c_261,c_313]) ).
tcf(c_4380,plain,
( hskp6
| hskp12
| c3_1(a503) ),
inference(resolution,[status(thm)],[c_261,c_281]) ).
tcf(c_4390,plain,
( hskp6
| hskp12
| c2_1(a503) ),
inference(resolution,[status(thm)],[c_261,c_280]) ).
tcf(c_5965,plain,
( hskp17
| c1_1(a473)
| c0_1(a524) ),
inference(resolution,[status(thm)],[c_1753,c_266]) ).
tcf(c_5995,plain,
( hskp17
| c1_1(a524)
| c1_1(a473) ),
inference(resolution,[status(thm)],[c_1743,c_266]) ).
tcf(c_6025,plain,
( hskp17
| c1_1(a473)
| ~ c2_1(a524) ),
inference(resolution,[status(thm)],[c_1733,c_266]) ).
tcf(c_14309,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_606]) ).
tcf(c_14311,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_606]) ).
tcf(c_14313,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| c1_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_604]) ).
tcf(c_14314,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_14
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_604]) ).
tcf(c_14315,negated_conjecture,
( iPr_def_14
| iPr_def_13
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_604]) ).
tcf(c_14316,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_602]) ).
tcf(c_14317,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_602]) ).
tcf(c_14318,negated_conjecture,
( iPr_def_16
| iPr_def_15
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_602]) ).
tcf(c_14320,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_600]) ).
tcf(c_14323,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| ~ c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_598]) ).
tcf(c_14324,negated_conjecture,
( iPr_def_20
| iPr_def_18
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_598]) ).
tcf(c_14325,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_596]) ).
tcf(c_14330,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_24
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_592]) ).
tcf(c_14331,negated_conjecture,
( iPr_def_24
| iPr_def_12
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_592]) ).
tcf(c_14332,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_25
| ~ c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_587]) ).
tcf(c_14333,negated_conjecture,
( iPr_def_25
| iPr_def_24
| hskp17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_587]) ).
tcf(c_14334,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_26
| c0_1(X0)
| c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_585]) ).
tcf(c_14335,negated_conjecture,
( iPr_def_26
| iPr_def_24
| hskp26 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_585]) ).
tcf(c_14341,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_576]) ).
tcf(c_14342,negated_conjecture,
( iPr_def_29
| iPr_def_25
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_576]) ).
tcf(c_14344,negated_conjecture,
( iPr_def_20
| iPr_def_14
| hskp3 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_572]) ).
tcf(c_14347,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_30
| c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_564]) ).
tcf(c_14348,negated_conjecture,
( iPr_def_30
| iPr_def_10
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_564]) ).
tcf(c_14349,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_31
| c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_562]) ).
tcf(c_14350,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_32
| ~ c0_1(X0)
| c1_1(X0)
| c2_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_562]) ).
tcf(c_14351,negated_conjecture,
( iPr_def_32
| iPr_def_31
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_562]) ).
tcf(c_14352,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_33
| ~ c0_1(X0)
| c1_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_560]) ).
tcf(c_14353,negated_conjecture,
( iPr_def_33
| iPr_def_31
| hskp9 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_560]) ).
tcf(c_14355,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_34
| ~ c1_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_556]) ).
tcf(c_14363,negated_conjecture,
( iPr_def_33
| iPr_def_20
| hskp12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_545]) ).
tcf(c_14364,negated_conjecture,
( iPr_def_26
| iPr_def_18
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_542]) ).
tcf(c_14365,negated_conjecture,
( iPr_def_33
| iPr_def_18
| hskp25 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_540]) ).
tcf(c_14366,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_37
| c0_1(X0)
| c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_538]) ).
tcf(c_14367,negated_conjecture,
( iPr_def_37
| iPr_def_20
| hskp7 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_538]) ).
tcf(c_14368,negated_conjecture,
( iPr_def_37
| iPr_def_21
| hskp0 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_535]) ).
tcf(c_14369,negated_conjecture,
( iPr_def_37
| iPr_def_13
| hskp27 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_532]) ).
tcf(c_14371,negated_conjecture,
( iPr_def_29
| hskp3
| hskp12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_527]) ).
tcf(c_14372,negated_conjecture,
( iPr_def_16
| hskp18
| hskp20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_524]) ).
tcf(c_14377,negated_conjecture,
( iPr_def_26
| hskp2
| hskp6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_511]) ).
tcf(c_14378,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_39
| c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_508]) ).
tcf(c_14379,negated_conjecture,
( iPr_def_39
| hskp0
| hskp12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_508]) ).
tcf(c_14385,negated_conjecture,
( iPr_def_15
| hskp19
| hskp20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_493]) ).
tcf(c_14386,negated_conjecture,
( iPr_def_15
| hskp12
| hskp14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_490]) ).
tcf(c_14387,negated_conjecture,
( iPr_def_34
| hskp7
| hskp11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_487]) ).
tcf(c_14388,negated_conjecture,
( iPr_def_18
| hskp0
| hskp1 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_484]) ).
tcf(c_14389,negated_conjecture,
( iPr_def_13
| hskp3
| hskp15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_481]) ).
tcf(c_14398,plain,
( c3_1(a460)
| c2_1(a460)
| ~ iPr_def_20
| ~ c0_1(a460) ),
inference(instantiation,[status(thm)],[c_14323]) ).
tcf(c_14422,plain,
( c0_1(a503)
| ~ iPr_def_10
| ~ c3_1(a503)
| ~ c2_1(a503) ),
inference(instantiation,[status(thm)],[c_14309]) ).
tcf(c_14431,plain,
( c0_1(a466)
| ~ iPr_def_12
| ~ c3_1(a466)
| ~ c1_1(a466) ),
inference(instantiation,[status(thm)],[c_14311]) ).
tcf(c_14436,plain,
( c3_1(a494)
| c2_1(a494)
| c1_1(a494)
| ~ iPr_def_13 ),
inference(instantiation,[status(thm)],[c_14313]) ).
tcf(c_14437,plain,
( c3_1(a480)
| c2_1(a480)
| c1_1(a480)
| ~ iPr_def_13 ),
inference(instantiation,[status(thm)],[c_14313]) ).
tcf(c_14450,plain,
( ~ iPr_def_24
| ~ c3_1(a461)
| ~ c2_1(a461)
| ~ c0_1(a461) ),
inference(instantiation,[status(thm)],[c_14330]) ).
tcf(c_14451,plain,
( ~ iPr_def_24
| ~ c3_1(a503)
| ~ c2_1(a503)
| ~ c0_1(a503) ),
inference(instantiation,[status(thm)],[c_14330]) ).
tcf(c_14454,plain,
( ~ iPr_def_24
| ~ c3_1(a476)
| ~ c2_1(a476)
| ~ c0_1(a476) ),
inference(instantiation,[status(thm)],[c_14330]) ).
tcf(c_14460,plain,
( c3_1(a494)
| c1_1(a494)
| c0_1(a494)
| ~ iPr_def_21 ),
inference(instantiation,[status(thm)],[c_14325]) ).
tcf(c_14461,plain,
( c3_1(a480)
| c1_1(a480)
| c0_1(a480)
| ~ iPr_def_21 ),
inference(instantiation,[status(thm)],[c_14325]) ).
tcf(c_14467,plain,
( ~ iPr_def_14
| ~ c3_1(a473)
| ~ c1_1(a473)
| ~ c0_1(a473) ),
inference(instantiation,[status(thm)],[c_14314]) ).
tcf(c_14468,plain,
( ~ iPr_def_14
| ~ c3_1(a492)
| ~ c1_1(a492)
| ~ c0_1(a492) ),
inference(instantiation,[status(thm)],[c_14314]) ).
tcf(c_14480,plain,
( c1_1(a494)
| c0_1(a494)
| ~ iPr_def_26
| ~ c2_1(a494) ),
inference(instantiation,[status(thm)],[c_14334]) ).
tcf(c_14485,plain,
( c1_1(a463)
| c0_1(a463)
| ~ iPr_def_26
| ~ c2_1(a463) ),
inference(instantiation,[status(thm)],[c_14334]) ).
tcf(c_14500,plain,
( c1_1(a461)
| ~ iPr_def_25
| ~ c2_1(a461)
| ~ c0_1(a461) ),
inference(instantiation,[status(thm)],[c_14332]) ).
tcf(c_14501,plain,
( c1_1(a503)
| ~ iPr_def_25
| ~ c2_1(a503)
| ~ c0_1(a503) ),
inference(instantiation,[status(thm)],[c_14332]) ).
tcf(c_14504,plain,
( c1_1(a476)
| ~ iPr_def_25
| ~ c2_1(a476)
| ~ c0_1(a476) ),
inference(instantiation,[status(thm)],[c_14332]) ).
tcf(c_14505,plain,
( c1_1(a471)
| ~ iPr_def_25
| ~ c2_1(a471)
| ~ c0_1(a471) ),
inference(instantiation,[status(thm)],[c_14332]) ).
tcf(c_14520,plain,
( c3_1(a494)
| c2_1(a494)
| c0_1(a494)
| ~ iPr_def_37 ),
inference(instantiation,[status(thm)],[c_14366]) ).
tcf(c_14522,plain,
( c3_1(a480)
| c2_1(a480)
| c0_1(a480)
| ~ iPr_def_37 ),
inference(instantiation,[status(thm)],[c_14366]) ).
tcf(c_14524,plain,
( c3_1(a465)
| c2_1(a465)
| c0_1(a465)
| ~ iPr_def_37 ),
inference(instantiation,[status(thm)],[c_14366]) ).
tcf(c_14530,plain,
( c0_1(a492)
| ~ iPr_def_12
| ~ c3_1(a492)
| ~ c1_1(a492) ),
inference(instantiation,[status(thm)],[c_14311]) ).
tcf(c_14532,plain,
( ~ iPr_def_14
| ~ c3_1(a461)
| ~ c1_1(a461)
| ~ c0_1(a461) ),
inference(instantiation,[status(thm)],[c_14314]) ).
tcf(c_14535,plain,
( c3_1(a503)
| c1_1(a503)
| ~ iPr_def_15
| ~ c2_1(a503) ),
inference(instantiation,[status(thm)],[c_14316]) ).
tcf(c_14538,plain,
( c3_1(a476)
| c1_1(a476)
| ~ iPr_def_15
| ~ c2_1(a476) ),
inference(instantiation,[status(thm)],[c_14316]) ).
tcf(c_14539,plain,
( c3_1(a471)
| c1_1(a471)
| ~ iPr_def_15
| ~ c2_1(a471) ),
inference(instantiation,[status(thm)],[c_14316]) ).
tcf(c_14542,plain,
( c2_1(a524)
| ~ iPr_def_16
| ~ c1_1(a524)
| ~ c0_1(a524) ),
inference(instantiation,[status(thm)],[c_14317]) ).
tcf(c_14544,plain,
( c2_1(a492)
| ~ iPr_def_16
| ~ c1_1(a492)
| ~ c0_1(a492) ),
inference(instantiation,[status(thm)],[c_14317]) ).
tcf(c_14555,plain,
( c2_1(a494)
| c1_1(a494)
| c0_1(a494)
| ~ iPr_def_18 ),
inference(instantiation,[status(thm)],[c_14320]) ).
tcf(c_14557,plain,
( c2_1(a480)
| c1_1(a480)
| c0_1(a480)
| ~ iPr_def_18 ),
inference(instantiation,[status(thm)],[c_14320]) ).
tcf(c_14559,plain,
( c2_1(a465)
| c1_1(a465)
| c0_1(a465)
| ~ iPr_def_18 ),
inference(instantiation,[status(thm)],[c_14320]) ).
tcf(c_14565,plain,
( c3_1(a488)
| c2_1(a488)
| c1_1(a488)
| ~ iPr_def_13 ),
inference(instantiation,[status(thm)],[c_14313]) ).
tcf(c_14612,plain,
( c0_1(a503)
| ~ iPr_def_31
| ~ c2_1(a503)
| ~ c1_1(a503) ),
inference(instantiation,[status(thm)],[c_14349]) ).
tcf(c_14613,plain,
( c0_1(a500)
| ~ iPr_def_31
| ~ c2_1(a500)
| ~ c1_1(a500) ),
inference(instantiation,[status(thm)],[c_14349]) ).
tcf(c_14623,plain,
( ~ iPr_def_14
| ~ c3_1(a470)
| ~ c1_1(a470)
| ~ c0_1(a470) ),
inference(instantiation,[status(thm)],[c_14314]) ).
tcf(c_14624,plain,
( c3_1(a533)
| c2_1(a533)
| c1_1(a533)
| ~ iPr_def_13 ),
inference(instantiation,[status(thm)],[c_14313]) ).
tcf(c_14657,plain,
( c0_1(a502)
| ~ iPr_def_10
| ~ c3_1(a502)
| ~ c2_1(a502) ),
inference(instantiation,[status(thm)],[c_14309]) ).
tcf(c_14666,plain,
( c3_1(a533)
| c1_1(a533)
| ~ iPr_def_33
| ~ c0_1(a533) ),
inference(instantiation,[status(thm)],[c_14352]) ).
tcf(c_14669,plain,
( c3_1(a488)
| c1_1(a488)
| ~ iPr_def_33
| ~ c0_1(a488) ),
inference(instantiation,[status(thm)],[c_14352]) ).
tcf(c_14671,plain,
( c3_1(a476)
| c1_1(a476)
| ~ iPr_def_33
| ~ c0_1(a476) ),
inference(instantiation,[status(thm)],[c_14352]) ).
tcf(c_14685,plain,
( c2_1(a474)
| c1_1(a474)
| ~ iPr_def_32
| ~ c0_1(a474) ),
inference(instantiation,[status(thm)],[c_14350]) ).
tcf(c_14735,plain,
( c3_1(a533)
| c1_1(a533)
| ~ iPr_def_15
| ~ c2_1(a533) ),
inference(instantiation,[status(thm)],[c_14316]) ).
tcf(c_14737,plain,
( c1_1(a533)
| ~ iPr_def_25
| ~ c2_1(a533)
| ~ c0_1(a533) ),
inference(instantiation,[status(thm)],[c_14332]) ).
tcf(c_14748,plain,
( c0_1(a470)
| ~ iPr_def_12
| ~ c3_1(a470)
| ~ c1_1(a470) ),
inference(instantiation,[status(thm)],[c_14311]) ).
tcf(c_14782,plain,
( c3_1(a494)
| c1_1(a494)
| ~ iPr_def_15
| ~ c2_1(a494) ),
inference(instantiation,[status(thm)],[c_14316]) ).
tcf(c_14811,plain,
( c1_1(a503)
| ~ iPr_def_29
| ~ c3_1(a503)
| ~ c0_1(a503) ),
inference(instantiation,[status(thm)],[c_14341]) ).
tcf(c_14813,plain,
( c1_1(a474)
| ~ iPr_def_29
| ~ c3_1(a474)
| ~ c0_1(a474) ),
inference(instantiation,[status(thm)],[c_14341]) ).
tcf(c_14854,plain,
( c1_1(a503)
| c0_1(a503)
| ~ iPr_def_26
| ~ c2_1(a503) ),
inference(instantiation,[status(thm)],[c_14334]) ).
tcf(c_14861,plain,
( c2_1(a474)
| c0_1(a474)
| ~ iPr_def_30
| ~ c3_1(a474) ),
inference(instantiation,[status(thm)],[c_14347]) ).
tcf(c_14865,plain,
( c2_1(a480)
| c0_1(a480)
| ~ iPr_def_30
| ~ c3_1(a480) ),
inference(instantiation,[status(thm)],[c_14347]) ).
tcf(c_14973,plain,
( c2_1(a488)
| c1_1(a488)
| c0_1(a488)
| ~ iPr_def_18 ),
inference(instantiation,[status(thm)],[c_14320]) ).
tcf(c_15142,plain,
( c3_1(a465)
| c2_1(a465)
| ~ iPr_def_34
| ~ c1_1(a465) ),
inference(instantiation,[status(thm)],[c_14355]) ).
tcf(c_15151,plain,
( c3_1(a471)
| c0_1(a471)
| ~ iPr_def_39
| ~ c2_1(a471) ),
inference(instantiation,[status(thm)],[c_14378]) ).
tcf(c_15154,plain,
( c3_1(a494)
| c0_1(a494)
| ~ iPr_def_39
| ~ c2_1(a494) ),
inference(instantiation,[status(thm)],[c_14378]) ).
tcf(c_15515,plain,
( c3_1(a478)
| c0_1(a478)
| ~ iPr_def_39
| ~ c2_1(a478) ),
inference(instantiation,[status(thm)],[c_14378]) ).
tcf(c_15583,plain,
( c0_1(a466)
| ~ iPr_def_31
| ~ c2_1(a466)
| ~ c1_1(a466) ),
inference(instantiation,[status(thm)],[c_14349]) ).
tcf(c_15585,plain,
( c2_1(a466)
| c0_1(a466)
| ~ iPr_def_30
| ~ c3_1(a466) ),
inference(instantiation,[status(thm)],[c_14347]) ).
tcf(c_15596,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_15583,c_15585,c_15515,c_15154,c_15151,c_15142,c_14973,c_14865,c_14861,c_14854,c_14813,c_14811,c_14782,c_14748,c_14735,c_14737,c_14685,c_14671,c_14669,c_14666,c_14657,c_14624,c_14623,c_14613,c_14612,c_14565,c_14559,c_14557,c_14555,c_14544,c_14542,c_14539,c_14538,c_14535,c_14532,c_14530,c_14524,c_14522,c_14520,c_14505,c_14504,c_14501,c_14500,c_14485,c_14480,c_14468,c_14467,c_14461,c_14460,c_14454,c_14451,c_14450,c_14437,c_14436,c_14431,c_14422,c_14398,c_14389,c_14388,c_14387,c_14386,c_14385,c_14379,c_14377,c_14372,c_14371,c_14369,c_14368,c_14367,c_14365,c_14364,c_14363,c_14353,c_14351,c_14348,c_14344,c_14342,c_14335,c_14333,c_14331,c_14324,c_14318,c_14315,c_6025,c_5995,c_5965,c_4390,c_4380,c_4370,c_4258,c_4248,c_4238,c_4228,c_4218,c_4208,c_4198,c_4188,c_4178,c_1753,c_1743,c_1733,c_313,c_314,c_315,c_316,c_317,c_318,c_321,c_322,c_323,c_324,c_326,c_327,c_328,c_329,c_330,c_332,c_334,c_335,c_336,c_337,c_341,c_342,c_343,c_344,c_345,c_346,c_347,c_348,c_265,c_266,c_267,c_268,c_270,c_271,c_272,c_273,c_280,c_281,c_282,c_283,c_284,c_285,c_287,c_288,c_291,c_294,c_295,c_298,c_299,c_303,c_304,c_305,c_306]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN448-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/10.79 % Computer : n026.cluster.edu
% 0.11/10.79 % Model : x86_64 x86_64
% 0.11/10.79 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.79 % Memory : 8046.5625MB
% 0.11/10.79 % OS : Linux 6.8.0-71-generic
% 0.11/10.79 % CPULimit : 300
% 0.11/10.80 % WCLimit : 300
% 0.11/10.80 % DateTime : Fri Sep 25 01:17:06 UTC 2026
% 0.14/10.80 % CPUTime :
% 0.14/10.80 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/10.84 Running EPR theorem proving
% 0.14/10.84 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
% 0.14/10.85
% 0.14/10.85 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.85
% 0.14/10.85 % Detected problem language: tptp
% 0.14/10.86 % Proving...
% 1.69/11.56 % SZS status Started for theBenchmark.p
% 1.69/11.56 % SZS status Unsatisfiable for theBenchmark.p
% 1.69/11.56
% 1.69/11.56 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.69/11.56
% 1.69/11.56 % ------ iProver source info
% 1.69/11.56
% 1.69/11.56 % git: date: 2026-07-19 20:42:38 +0200
% 1.69/11.56 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.69/11.56 % git: non_committed_changes: false
% 1.69/11.56
% 1.69/11.56 % ------ Parsing...% successful
% 1.69/11.56
% 1.69/11.56
% 1.69/11.56 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.69/11.56 %
% 1.69/11.56
% 1.69/11.56 % ------ Preprocessing... sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.69/11.56
% 1.69/11.56 % ------ Preprocessing...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.69/11.56 gs_s sp: 89 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.69/11.56 % ------ Proving...
% 1.69/11.56 % ------ Problem Properties
% 1.69/11.56
% 1.69/11.56 %
% 1.69/11.56 % clauses 173
% 1.69/11.56 % conjectures 164
% 1.69/11.56 % EPR 173
% 1.69/11.56 % Horn 94
% 1.69/11.56 % unary 0
% 1.69/11.56 % binary 79
% 1.69/11.56 % lits 469
% 1.69/11.56 % lits eq 0
% 1.69/11.56 % fd_pure 0
% 1.69/11.56 % fd_pseudo 0
% 1.69/11.56 % fd_cond 0
% 1.69/11.56 % fd_pseudo_cond 0
% 1.69/11.56 % AC symbols 0
% 1.69/11.56
% 1.69/11.56 % ------ Schedule EPR non Horn non eq is on
% 1.69/11.56
% 1.69/11.56 % ------ no equalities: superposition off
% 1.69/11.56
% 1.69/11.56 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.69/11.56
% 1.69/11.56
% 1.69/11.56 % ------
% 1.69/11.56 % Current options:
% 1.69/11.56 % ------
% 1.69/11.56
% 1.69/11.56
% 1.69/11.56 %
% 1.69/11.56
% 1.69/11.56 % ------ Proving...
% 1.69/11.56 %
% 1.69/11.56
% 1.69/11.56 % SZS status Unsatisfiable for theBenchmark.p
% 1.69/11.56
% 1.69/11.56 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.69/11.57
% 1.69/11.57
%------------------------------------------------------------------------------