%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN450-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 : Tue Sep 29 02:08:50 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.31s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 237
% Syntax : Number of formulae : 814 ( 20 unt; 130 def)
% Number of atoms : 2487 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2912 (1239 ~;1543 |; 0 &)
% ( 130 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 162 ( 161 usr; 158 prp; 0-1 aty)
% Number of functors : 25 ( 25 usr; 25 con; 0-0 aty)
% Number of variables : 144 ( 0 sgn 144 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,negated_conjecture,
( ~ hskp24
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f10,negated_conjecture,
( ~ hskp20
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f30,negated_conjecture,
( ~ hskp0
| ndr1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f31,negated_conjecture,
( hskp18
| hskp1
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f32,negated_conjecture,
( hskp18
| hskp2
| hskp20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f33,negated_conjecture,
( hskp1
| hskp14
| hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f34,negated_conjecture,
( hskp2
| hskp22
| hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f35,negated_conjecture,
( hskp20
| hskp24
| hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f37,negated_conjecture,
( ~ hskp29
| c1_1(a688) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f38,negated_conjecture,
( ~ hskp29
| c2_1(a688) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f39,negated_conjecture,
( ~ hskp29
| c3_1(a688) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f40,negated_conjecture,
( ~ hskp28
| c0_1(a671) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f41,negated_conjecture,
( ~ hskp28
| c1_1(a671) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f42,negated_conjecture,
( ~ hskp28
| c2_1(a671) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f43,negated_conjecture,
( ~ hskp27
| c0_1(a655) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f44,negated_conjecture,
( ~ hskp27
| c2_1(a655) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f50,negated_conjecture,
( ~ hskp23
| c2_1(a695) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f51,negated_conjecture,
( ~ hskp22
| c2_1(a693) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f52,negated_conjecture,
( ~ hskp22
| c3_1(a693) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f53,negated_conjecture,
( ~ hskp20
| c1_1(a686) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f54,negated_conjecture,
( ~ hskp20
| c2_1(a686) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f55,negated_conjecture,
( ~ hskp19
| c3_1(a682) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f56,negated_conjecture,
( ~ hskp18
| c0_1(a676) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f57,negated_conjecture,
( ~ hskp18
| c1_1(a676) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f58,negated_conjecture,
( ~ hskp17
| c2_1(a675) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f59,negated_conjecture,
( ~ hskp16
| c1_1(a672) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f60,negated_conjecture,
( ~ hskp15
| c3_1(a667) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f61,negated_conjecture,
( ~ hskp14
| c2_1(a665) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f62,negated_conjecture,
( ~ hskp13
| c0_1(a661) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f63,negated_conjecture,
( ~ hskp12
| c0_1(a660) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f64,negated_conjecture,
( ~ hskp11
| c0_1(a657) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f65,negated_conjecture,
( ~ hskp11
| c2_1(a657) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f68,negated_conjecture,
( ~ hskp8
| c0_1(a652) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f69,negated_conjecture,
( ~ hskp8
| c3_1(a652) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f70,negated_conjecture,
( ~ hskp7
| c3_1(a651) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f71,negated_conjecture,
( ~ hskp6
| c0_1(a648) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f72,negated_conjecture,
( ~ hskp5
| c1_1(a647) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f73,negated_conjecture,
( ~ hskp3
| c1_1(a645) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f75,negated_conjecture,
( ~ hskp2
| c1_1(a643) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f76,negated_conjecture,
( ~ hskp2
| c2_1(a643) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause76) ).
fof(f77,negated_conjecture,
( ~ hskp1
| c0_1(a642) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f78,negated_conjecture,
( ~ hskp1
| c3_1(a642) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f79,negated_conjecture,
( ~ hskp0
| c2_1(a641) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).
fof(f80,negated_conjecture,
( ~ hskp0
| c3_1(a641) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f86,negated_conjecture,
( ~ c0_1(a695)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f87,negated_conjecture,
( ~ c3_1(a695)
| ~ hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f88,negated_conjecture,
( ~ c0_1(a693)
| ~ hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f89,negated_conjecture,
( ~ c0_1(a691)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f90,negated_conjecture,
( ~ c1_1(a691)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
fof(f91,negated_conjecture,
( ~ c3_1(a691)
| ~ hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
fof(f93,negated_conjecture,
( ~ c1_1(a682)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
fof(f94,negated_conjecture,
( ~ c2_1(a682)
| ~ hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
fof(f95,negated_conjecture,
( ~ c2_1(a676)
| ~ hskp18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
fof(f96,negated_conjecture,
( ~ c1_1(a675)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f97,negated_conjecture,
( ~ c3_1(a675)
| ~ hskp17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f98,negated_conjecture,
( ~ c2_1(a672)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f99,negated_conjecture,
( ~ c3_1(a672)
| ~ hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f100,negated_conjecture,
( ~ c0_1(a667)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f101,negated_conjecture,
( ~ c2_1(a667)
| ~ hskp15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f102,negated_conjecture,
( ~ c0_1(a665)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f103,negated_conjecture,
( ~ c1_1(a665)
| ~ hskp14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f104,negated_conjecture,
( ~ c1_1(a661)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f105,negated_conjecture,
( ~ c3_1(a661)
| ~ hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f106,negated_conjecture,
( ~ c1_1(a660)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f107,negated_conjecture,
( ~ c2_1(a660)
| ~ hskp12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f108,negated_conjecture,
( ~ c3_1(a657)
| ~ hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f110,negated_conjecture,
( ~ c0_1(a654)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f111,negated_conjecture,
( ~ c1_1(a654)
| ~ hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
fof(f113,negated_conjecture,
( ~ c2_1(a652)
| ~ hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause113) ).
fof(f114,negated_conjecture,
( ~ c0_1(a651)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f115,negated_conjecture,
( ~ c1_1(a651)
| ~ hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f116,negated_conjecture,
( ~ c2_1(a648)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f117,negated_conjecture,
( ~ c3_1(a648)
| ~ hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f118,negated_conjecture,
( ~ c0_1(a647)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f119,negated_conjecture,
( ~ c3_1(a647)
| ~ hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f123,negated_conjecture,
( ~ c2_1(a645)
| ~ hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f124,negated_conjecture,
( ~ c0_1(a643)
| ~ hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f125,negated_conjecture,
( ~ c1_1(a642)
| ~ hskp1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f126,negated_conjecture,
( ~ c1_1(a641)
| ~ hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f128,negated_conjecture,
! [X0] :
( ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| c3_1(X0)
| hskp2
| hskp0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f130,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c1_1(X0)
| hskp6
| hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f131,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| c0_1(X0)
| c3_1(X0)
| hskp12
| hskp13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f133,negated_conjecture,
! [X0] :
( ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c2_1(X0)
| hskp28
| hskp16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f134,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp8
| hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
fof(f136,negated_conjecture,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp29
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
fof(f141,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp17
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
fof(f142,negated_conjecture,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| hskp17
| hskp19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
fof(f143,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp11
| hskp21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
fof(f144,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp20
| hskp22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
fof(f145,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp5
| hskp23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause145) ).
fof(f148,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp1
| hskp29 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f150,negated_conjecture,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp15
| hskp9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).
fof(f156,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X0)
| c3_1(X0)
| c0_1(X1)
| c1_1(X1)
| hskp5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
fof(f157,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c2_1(X0)
| c3_1(X0)
| c0_1(X1)
| c1_1(X1)
| hskp2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f160,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c3_1(X0)
| c2_1(X1)
| c3_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
fof(f164,negated_conjecture,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c1_1(X0)
| c0_1(X1)
| c3_1(X1)
| hskp27 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
fof(f165,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c2_1(X0)
| c0_1(X1)
| c3_1(X1)
| hskp6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
fof(f167,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
fof(f168,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c0_1(X1)
| c1_1(X1)
| hskp3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
fof(f169,negated_conjecture,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| hskp7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f171,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
fof(f172,negated_conjecture,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| hskp8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f173,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c2_1(X0)
| c0_1(X1)
| c1_1(X1)
| c0_1(X2)
| c1_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f175,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X2)
| c1_1(X0)
| c2_1(X0)
| c0_1(X1)
| c0_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
fof(f177,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X2)
| c3_1(X0)
| c1_1(X1)
| c1_1(X2)
| c3_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
fof(f179,negated_conjecture,
! [X2,X0,X1] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X2)
| c1_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f180,negated_conjecture,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X2)
| c1_1(X1)
| c0_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
fof(f197,plain,
( ~ hskp18
| hskp1
| ~ hskp7 ),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f198,plain,
( ~ hskp18
| ~ hskp2
| hskp20 ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f199,plain,
( hskp1
| ~ hskp14
| ~ hskp17 ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f200,plain,
( ~ hskp2
| hskp22
| hskp19 ),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f202,plain,
( hskp29
| c1_1(a688) ),
inference(consistent_polarity_flipping,[],[f37]) ).
fof(f203,plain,
( hskp29
| c2_1(a688) ),
inference(consistent_polarity_flipping,[],[f38]) ).
fof(f204,plain,
( hskp29
| c3_1(a688) ),
inference(consistent_polarity_flipping,[],[f39]) ).
fof(f205,plain,
( ~ hskp28
| ~ c0_1(a671) ),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f206,plain,
( hskp27
| ~ c0_1(a655) ),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f207,plain,
( hskp27
| c2_1(a655) ),
inference(consistent_polarity_flipping,[],[f44]) ).
fof(f210,plain,
( hskp23
| c2_1(a695) ),
inference(consistent_polarity_flipping,[],[f50]) ).
fof(f211,plain,
( hskp18
| ~ c0_1(a676) ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f212,plain,
( hskp18
| c1_1(a676) ),
inference(consistent_polarity_flipping,[],[f57]) ).
fof(f213,plain,
( hskp17
| c2_1(a675) ),
inference(consistent_polarity_flipping,[],[f58]) ).
fof(f214,plain,
( hskp16
| c1_1(a672) ),
inference(consistent_polarity_flipping,[],[f59]) ).
fof(f215,plain,
( hskp15
| c3_1(a667) ),
inference(consistent_polarity_flipping,[],[f60]) ).
fof(f216,plain,
( hskp14
| c2_1(a665) ),
inference(consistent_polarity_flipping,[],[f61]) ).
fof(f217,plain,
( hskp13
| ~ c0_1(a661) ),
inference(consistent_polarity_flipping,[],[f62]) ).
fof(f218,plain,
( hskp12
| ~ c0_1(a660) ),
inference(consistent_polarity_flipping,[],[f63]) ).
fof(f219,plain,
( ~ hskp11
| ~ c0_1(a657) ),
inference(consistent_polarity_flipping,[],[f64]) ).
fof(f222,plain,
( ~ hskp8
| ~ c0_1(a652) ),
inference(consistent_polarity_flipping,[],[f68]) ).
fof(f223,plain,
( hskp7
| c3_1(a651) ),
inference(consistent_polarity_flipping,[],[f70]) ).
fof(f224,plain,
( ~ hskp6
| ~ c0_1(a648) ),
inference(consistent_polarity_flipping,[],[f71]) ).
fof(f225,plain,
( hskp5
| c1_1(a647) ),
inference(consistent_polarity_flipping,[],[f72]) ).
fof(f226,plain,
( hskp2
| c1_1(a643) ),
inference(consistent_polarity_flipping,[],[f75]) ).
fof(f227,plain,
( hskp2
| c2_1(a643) ),
inference(consistent_polarity_flipping,[],[f76]) ).
fof(f228,plain,
( ~ hskp1
| ~ c0_1(a642) ),
inference(consistent_polarity_flipping,[],[f77]) ).
fof(f233,plain,
( c0_1(a695)
| hskp23 ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f234,plain,
( ~ c3_1(a695)
| hskp23 ),
inference(consistent_polarity_flipping,[],[f87]) ).
fof(f235,plain,
( c0_1(a693)
| ~ hskp22 ),
inference(consistent_polarity_flipping,[],[f88]) ).
fof(f236,plain,
( c0_1(a691)
| ~ hskp21 ),
inference(consistent_polarity_flipping,[],[f89]) ).
fof(f237,plain,
( ~ c2_1(a676)
| hskp18 ),
inference(consistent_polarity_flipping,[],[f95]) ).
fof(f238,plain,
( ~ c1_1(a675)
| hskp17 ),
inference(consistent_polarity_flipping,[],[f96]) ).
fof(f239,plain,
( ~ c3_1(a675)
| hskp17 ),
inference(consistent_polarity_flipping,[],[f97]) ).
fof(f240,plain,
( ~ c2_1(a672)
| hskp16 ),
inference(consistent_polarity_flipping,[],[f98]) ).
fof(f241,plain,
( ~ c3_1(a672)
| hskp16 ),
inference(consistent_polarity_flipping,[],[f99]) ).
fof(f242,plain,
( c0_1(a667)
| hskp15 ),
inference(consistent_polarity_flipping,[],[f100]) ).
fof(f243,plain,
( ~ c2_1(a667)
| hskp15 ),
inference(consistent_polarity_flipping,[],[f101]) ).
fof(f244,plain,
( c0_1(a665)
| hskp14 ),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f245,plain,
( ~ c1_1(a665)
| hskp14 ),
inference(consistent_polarity_flipping,[],[f103]) ).
fof(f246,plain,
( ~ c1_1(a661)
| hskp13 ),
inference(consistent_polarity_flipping,[],[f104]) ).
fof(f247,plain,
( ~ c3_1(a661)
| hskp13 ),
inference(consistent_polarity_flipping,[],[f105]) ).
fof(f248,plain,
( ~ c1_1(a660)
| hskp12 ),
inference(consistent_polarity_flipping,[],[f106]) ).
fof(f249,plain,
( ~ c2_1(a660)
| hskp12 ),
inference(consistent_polarity_flipping,[],[f107]) ).
fof(f251,plain,
( c0_1(a654)
| ~ hskp9 ),
inference(consistent_polarity_flipping,[],[f110]) ).
fof(f252,plain,
( c0_1(a651)
| hskp7 ),
inference(consistent_polarity_flipping,[],[f114]) ).
fof(f253,plain,
( ~ c1_1(a651)
| hskp7 ),
inference(consistent_polarity_flipping,[],[f115]) ).
fof(f254,plain,
( c0_1(a647)
| hskp5 ),
inference(consistent_polarity_flipping,[],[f118]) ).
fof(f255,plain,
( ~ c3_1(a647)
| hskp5 ),
inference(consistent_polarity_flipping,[],[f119]) ).
fof(f259,plain,
( c0_1(a643)
| hskp2 ),
inference(consistent_polarity_flipping,[],[f124]) ).
fof(f261,plain,
! [X0] :
( ~ ndr1_0
| ~ c0_1(X0)
| c1_1(X0)
| c3_1(X0)
| ~ hskp2
| hskp0 ),
inference(consistent_polarity_flipping,[],[f128]) ).
fof(f263,plain,
! [X0] :
( ~ c2_1(X0)
| ~ ndr1_0
| ~ c0_1(X0)
| c1_1(X0)
| hskp6
| ~ hskp2 ),
inference(consistent_polarity_flipping,[],[f130]) ).
fof(f264,plain,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0)
| c3_1(X0)
| ~ hskp12
| ~ hskp13 ),
inference(consistent_polarity_flipping,[],[f131]) ).
fof(f266,plain,
! [X0] :
( ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| c2_1(X0)
| hskp28
| ~ hskp16 ),
inference(consistent_polarity_flipping,[],[f133]) ).
fof(f267,plain,
! [X0] :
( c0_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| hskp8
| hskp19 ),
inference(consistent_polarity_flipping,[],[f134]) ).
fof(f269,plain,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| c2_1(X0)
| c3_1(X0)
| ~ hskp29
| ~ hskp5 ),
inference(consistent_polarity_flipping,[],[f136]) ).
fof(f274,plain,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| ~ hskp17
| ~ hskp7 ),
inference(consistent_polarity_flipping,[],[f141]) ).
fof(f275,plain,
! [X0] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c1_1(X0)
| ~ hskp17
| hskp19 ),
inference(consistent_polarity_flipping,[],[f142]) ).
fof(f276,plain,
! [X0] :
( c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp11
| hskp21 ),
inference(consistent_polarity_flipping,[],[f143]) ).
fof(f277,plain,
! [X0] :
( c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp20
| hskp22 ),
inference(consistent_polarity_flipping,[],[f144]) ).
fof(f278,plain,
! [X0] :
( c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| ~ hskp5
| ~ hskp23 ),
inference(consistent_polarity_flipping,[],[f145]) ).
fof(f281,plain,
! [X0] :
( c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c3_1(X0)
| hskp1
| ~ hskp29 ),
inference(consistent_polarity_flipping,[],[f148]) ).
fof(f283,plain,
! [X0] :
( c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c3_1(X0)
| ~ hskp15
| hskp9 ),
inference(consistent_polarity_flipping,[],[f150]) ).
fof(f289,plain,
! [X0,X1] :
( ~ c2_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c1_1(X0)
| c3_1(X0)
| ~ c0_1(X1)
| c1_1(X1)
| ~ hskp5 ),
inference(consistent_polarity_flipping,[],[f156]) ).
fof(f290,plain,
! [X0,X1] :
( ~ c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| c2_1(X0)
| c3_1(X0)
| ~ c0_1(X1)
| c1_1(X1)
| ~ hskp2 ),
inference(consistent_polarity_flipping,[],[f157]) ).
fof(f293,plain,
! [X0,X1] :
( c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X1)
| c3_1(X0)
| c2_1(X1)
| c3_1(X1) ),
inference(consistent_polarity_flipping,[],[f160]) ).
fof(f297,plain,
! [X0,X1] :
( ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c1_1(X0)
| ~ c0_1(X1)
| c3_1(X1)
| ~ hskp27 ),
inference(consistent_polarity_flipping,[],[f164]) ).
fof(f298,plain,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| c2_1(X0)
| ~ c0_1(X1)
| c3_1(X1)
| hskp6 ),
inference(consistent_polarity_flipping,[],[f165]) ).
fof(f300,plain,
! [X0,X1] :
( c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c1_1(X1)
| hskp8 ),
inference(consistent_polarity_flipping,[],[f167]) ).
fof(f301,plain,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c0_1(X1)
| c1_1(X1)
| hskp3 ),
inference(consistent_polarity_flipping,[],[f168]) ).
fof(f302,plain,
! [X0,X1] :
( c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X1)
| c1_1(X1)
| c3_1(X1)
| ~ hskp7 ),
inference(consistent_polarity_flipping,[],[f169]) ).
fof(f304,plain,
! [X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c0_1(X1)
| c2_1(X1)
| c3_1(X1)
| hskp11 ),
inference(consistent_polarity_flipping,[],[f171]) ).
fof(f305,plain,
! [X2,X0,X1] :
( c0_1(X0)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| c2_1(X0)
| ~ c0_1(X1)
| c1_1(X1)
| ~ c0_1(X2)
| c1_1(X2)
| c3_1(X2) ),
inference(consistent_polarity_flipping,[],[f173]) ).
fof(f307,plain,
! [X2,X0,X1] :
( c0_1(X0)
| ~ ndr1_0
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X2)
| c1_1(X0)
| c2_1(X0)
| ~ c0_1(X1)
| ~ c0_1(X2)
| c3_1(X2) ),
inference(consistent_polarity_flipping,[],[f175]) ).
fof(f309,plain,
! [X2,X0,X1] :
( c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| c0_1(X1)
| ~ c2_1(X1)
| c0_1(X2)
| c3_1(X0)
| c1_1(X1)
| c1_1(X2)
| c3_1(X2) ),
inference(consistent_polarity_flipping,[],[f177]) ).
fof(f311,plain,
! [X2,X0,X1] :
( c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X2)
| c1_1(X1)
| ~ c0_1(X2) ),
inference(consistent_polarity_flipping,[],[f179]) ).
fof(f312,plain,
! [X2,X0,X1] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| ~ c2_1(X1)
| ~ c3_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X2)
| c1_1(X1)
| ~ c0_1(X2) ),
inference(consistent_polarity_flipping,[],[f180]) ).
fof(f314,definition,
( spl0_1
<=> ! [X2] :
( ~ c1_1(X2)
| ~ c0_1(X2)
| ~ c2_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f315,plain,
( ! [X2] :
( ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f317,definition,
( spl0_2
<=> ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f318,plain,
( ! [X1] :
( ~ c3_1(X1)
| c1_1(X1)
| ~ c2_1(X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f320,definition,
( spl0_3
<=> ndr1_0 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f324,definition,
( spl0_4
<=> ! [X0] :
( ~ c1_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f325,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f326,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f312,f324,f320,f317,f314]) ).
fof(f328,definition,
( spl0_5
<=> ! [X0] :
( c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f329,plain,
( ! [X0] :
( c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f330,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f311,f328,f320,f317,f314]) ).
fof(f332,definition,
( spl0_6
<=> ! [X2] :
( ~ c2_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f333,plain,
( ! [X2] :
( c3_1(X2)
| ~ c2_1(X2)
| c1_1(X2) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f335,definition,
( spl0_7
<=> ! [X0] :
( c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f336,plain,
( ! [X0] :
( c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f339,definition,
( spl0_8
<=> ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f340,plain,
( ! [X2] :
( c0_1(X2)
| c3_1(X2)
| c1_1(X2) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f342,definition,
( spl0_9
<=> ! [X1] :
( c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f343,plain,
( ! [X1] :
( c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f345,definition,
( spl0_10
<=> ! [X0] :
( c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f346,plain,
( ! [X0] :
( c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f347,plain,
( spl0_8
| spl0_9
| ~ spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f309,f345,f320,f342,f339]) ).
fof(f353,definition,
( spl0_12
<=> ! [X2] :
( ~ c1_1(X2)
| c3_1(X2)
| ~ c0_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f354,plain,
( ! [X2] :
( ~ c0_1(X2)
| c3_1(X2)
| ~ c1_1(X2) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f356,definition,
( spl0_13
<=> ! [X0] :
( c0_1(X0)
| c2_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f357,plain,
( ! [X0] :
( c0_1(X0)
| c2_1(X0)
| c1_1(X0) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f358,plain,
( spl0_12
| spl0_1
| ~ spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f307,f356,f320,f314,f353]) ).
fof(f370,definition,
( spl0_17
<=> ! [X2] :
( ~ c0_1(X2)
| c3_1(X2)
| c1_1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f371,plain,
( ! [X2] :
( ~ c0_1(X2)
| c3_1(X2)
| c1_1(X2) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f373,definition,
( spl0_18
<=> ! [X1] :
( ~ c2_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f374,plain,
( ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| ~ c2_1(X1) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f375,plain,
( spl0_17
| spl0_18
| ~ spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f305,f335,f320,f373,f370]) ).
fof(f377,definition,
( spl0_19
<=> hskp8 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f381,definition,
( spl0_20
<=> ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| ~ c3_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f382,plain,
( ! [X1] :
( ~ c3_1(X1)
| c2_1(X1)
| ~ c1_1(X1) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f383,plain,
( spl0_19
| spl0_20
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f172,f324,f320,f381,f377]) ).
fof(f385,definition,
( spl0_21
<=> hskp11 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f389,definition,
( spl0_22
<=> ! [X1] :
( c0_1(X1)
| c3_1(X1)
| c2_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f390,plain,
( ! [X1] :
( c0_1(X1)
| c3_1(X1)
| c2_1(X1) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f391,plain,
( spl0_21
| spl0_22
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f304,f324,f320,f389,f385]) ).
fof(f393,definition,
( spl0_23
<=> hskp9 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f401,definition,
( spl0_25
<=> hskp7 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f404,plain,
( ~ spl0_25
| spl0_8
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f302,f328,f320,f339,f401]) ).
fof(f406,definition,
( spl0_26
<=> hskp3 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f410,definition,
( spl0_27
<=> ! [X1] :
( ~ c3_1(X1)
| c1_1(X1)
| ~ c0_1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f411,plain,
( ! [X1] :
( ~ c0_1(X1)
| c1_1(X1)
| ~ c3_1(X1) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f412,plain,
( spl0_26
| spl0_27
| ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f301,f324,f320,f410,f406]) ).
fof(f413,plain,
( spl0_19
| spl0_27
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f300,f328,f320,f410,f377]) ).
fof(f419,definition,
( spl0_29
<=> hskp6 ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f422,plain,
( spl0_29
| spl0_12
| ~ spl0_3
| spl0_20 ),
inference(avatar_split_clause,[],[f298,f381,f320,f353,f419]) ).
fof(f424,definition,
( spl0_30
<=> hskp27 ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f427,plain,
( ~ spl0_30
| spl0_12
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f297,f317,f320,f353,f424]) ).
fof(f438,definition,
( spl0_33
<=> ! [X0] :
( c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f439,plain,
( ! [X0] :
( c0_1(X0)
| c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f441,plain,
( spl0_22
| ~ spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f293,f345,f320,f389]) ).
fof(f443,definition,
( spl0_34
<=> hskp12 ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f448,definition,
( spl0_35
<=> ! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| c1_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f449,plain,
( ! [X0] :
( ~ c3_1(X0)
| c2_1(X0)
| c1_1(X0) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f452,definition,
( spl0_36
<=> hskp2 ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f456,definition,
( spl0_37
<=> ! [X0] :
( ~ c1_1(X0)
| c3_1(X0)
| c2_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f457,plain,
( ! [X0] :
( c3_1(X0)
| ~ c1_1(X0)
| c2_1(X0) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f458,plain,
( ~ spl0_36
| spl0_27
| ~ spl0_3
| spl0_37 ),
inference(avatar_split_clause,[],[f290,f456,f320,f410,f452]) ).
fof(f460,definition,
( spl0_38
<=> hskp5 ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f463,plain,
( ~ spl0_38
| spl0_18
| ~ spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f289,f332,f320,f373,f460]) ).
fof(f465,definition,
( spl0_39
<=> hskp1 ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f480,definition,
( spl0_42
<=> hskp23 ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f485,definition,
( spl0_43
<=> hskp29 ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f493,definition,
( spl0_45
<=> hskp15 ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f496,plain,
( spl0_23
| ~ spl0_45
| ~ spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f283,f345,f320,f493,f393]) ).
fof(f498,definition,
( spl0_46
<=> hskp20 ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f502,plain,
( ~ spl0_43
| spl0_39
| ~ spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f281,f345,f320,f465,f485]) ).
fof(f505,definition,
( spl0_47
<=> hskp24 ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f509,plain,
( ~ spl0_42
| ~ spl0_38
| ~ spl0_3
| spl0_33 ),
inference(avatar_split_clause,[],[f278,f438,f320,f460,f480]) ).
fof(f511,definition,
( spl0_48
<=> hskp22 ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f514,plain,
( spl0_48
| spl0_46
| ~ spl0_3
| spl0_33 ),
inference(avatar_split_clause,[],[f277,f438,f320,f498,f511]) ).
fof(f516,definition,
( spl0_49
<=> hskp21 ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f519,plain,
( spl0_49
| spl0_21
| ~ spl0_3
| spl0_33 ),
inference(avatar_split_clause,[],[f276,f438,f320,f385,f516]) ).
fof(f521,definition,
( spl0_50
<=> hskp19 ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f525,definition,
( spl0_51
<=> hskp17 ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f528,plain,
( spl0_50
| ~ spl0_51
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f275,f317,f320,f525,f521]) ).
fof(f529,plain,
( ~ spl0_25
| ~ spl0_51
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f274,f317,f320,f525,f401]) ).
fof(f531,definition,
( spl0_52
<=> hskp18 ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f539,definition,
( spl0_54
<=> hskp28 ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f545,definition,
( spl0_55
<=> hskp14 ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f549,plain,
( ~ spl0_38
| ~ spl0_43
| ~ spl0_3
| spl0_37 ),
inference(avatar_split_clause,[],[f269,f456,f320,f485,f460]) ).
fof(f551,plain,
( spl0_50
| spl0_19
| ~ spl0_3
| spl0_22 ),
inference(avatar_split_clause,[],[f267,f389,f320,f377,f521]) ).
fof(f553,definition,
( spl0_56
<=> hskp16 ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f556,plain,
( ~ spl0_56
| spl0_54
| ~ spl0_3
| spl0_35 ),
inference(avatar_split_clause,[],[f266,f448,f320,f539,f553]) ).
fof(f562,definition,
( spl0_58
<=> hskp13 ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f565,plain,
( ~ spl0_58
| ~ spl0_34
| ~ spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f264,f353,f320,f443,f562]) ).
fof(f566,plain,
( ~ spl0_36
| spl0_29
| ~ spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f263,f373,f320,f419,f452]) ).
fof(f569,definition,
( spl0_59
<=> hskp0 ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f572,plain,
( spl0_59
| ~ spl0_36
| spl0_17
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f261,f320,f370,f452,f569]) ).
fof(f582,definition,
( spl0_62
<=> c1_1(a641) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f585,plain,
( ~ spl0_59
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f126,f582,f569]) ).
fof(f587,definition,
( spl0_63
<=> c1_1(a642) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f590,plain,
( ~ spl0_39
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f125,f587,f465]) ).
fof(f592,definition,
( spl0_64
<=> c0_1(a643) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f594,plain,
( c0_1(a643)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f595,plain,
( spl0_36
| spl0_64 ),
inference(avatar_split_clause,[],[f259,f592,f452]) ).
fof(f597,definition,
( spl0_65
<=> c2_1(a645) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f599,plain,
( ~ c2_1(a645)
| spl0_65 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f600,plain,
( ~ spl0_26
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f123,f597,f406]) ).
fof(f617,definition,
( spl0_69
<=> c3_1(a647) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f619,plain,
( ~ c3_1(a647)
| spl0_69 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f620,plain,
( spl0_38
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f255,f617,f460]) ).
fof(f622,definition,
( spl0_70
<=> c0_1(a647) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f624,plain,
( c0_1(a647)
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f625,plain,
( spl0_38
| spl0_70 ),
inference(avatar_split_clause,[],[f254,f622,f460]) ).
fof(f627,definition,
( spl0_71
<=> c3_1(a648) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f630,plain,
( ~ spl0_29
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f117,f627,f419]) ).
fof(f632,definition,
( spl0_72
<=> c2_1(a648) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f635,plain,
( ~ spl0_29
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f116,f632,f419]) ).
fof(f637,definition,
( spl0_73
<=> c1_1(a651) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f640,plain,
( spl0_25
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f253,f637,f401]) ).
fof(f642,definition,
( spl0_74
<=> c0_1(a651) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f644,plain,
( c0_1(a651)
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f645,plain,
( spl0_25
| spl0_74 ),
inference(avatar_split_clause,[],[f252,f642,f401]) ).
fof(f647,definition,
( spl0_75
<=> c2_1(a652) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f650,plain,
( ~ spl0_19
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f113,f647,f377]) ).
fof(f657,definition,
( spl0_77
<=> c1_1(a654) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f660,plain,
( ~ spl0_23
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f111,f657,f393]) ).
fof(f662,definition,
( spl0_78
<=> c0_1(a654) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f664,plain,
( c0_1(a654)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f665,plain,
( ~ spl0_23
| spl0_78 ),
inference(avatar_split_clause,[],[f251,f662,f393]) ).
fof(f672,definition,
( spl0_80
<=> c3_1(a657) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f675,plain,
( ~ spl0_21
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f108,f672,f385]) ).
fof(f677,definition,
( spl0_81
<=> c2_1(a660) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f680,plain,
( spl0_34
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f249,f677,f443]) ).
fof(f682,definition,
( spl0_82
<=> c1_1(a660) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f685,plain,
( spl0_34
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f248,f682,f443]) ).
fof(f687,definition,
( spl0_83
<=> c3_1(a661) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f689,plain,
( ~ c3_1(a661)
| spl0_83 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f690,plain,
( spl0_58
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f247,f687,f562]) ).
fof(f692,definition,
( spl0_84
<=> c1_1(a661) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f695,plain,
( spl0_58
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f246,f692,f562]) ).
fof(f697,definition,
( spl0_85
<=> c1_1(a665) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f700,plain,
( spl0_55
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f245,f697,f545]) ).
fof(f702,definition,
( spl0_86
<=> c0_1(a665) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f704,plain,
( c0_1(a665)
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f705,plain,
( spl0_55
| spl0_86 ),
inference(avatar_split_clause,[],[f244,f702,f545]) ).
fof(f707,definition,
( spl0_87
<=> c2_1(a667) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f710,plain,
( spl0_45
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f243,f707,f493]) ).
fof(f712,definition,
( spl0_88
<=> c0_1(a667) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f714,plain,
( c0_1(a667)
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f715,plain,
( spl0_45
| spl0_88 ),
inference(avatar_split_clause,[],[f242,f712,f493]) ).
fof(f717,definition,
( spl0_89
<=> c3_1(a672) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f719,plain,
( ~ c3_1(a672)
| spl0_89 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f720,plain,
( spl0_56
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f241,f717,f553]) ).
fof(f722,definition,
( spl0_90
<=> c2_1(a672) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f725,plain,
( spl0_56
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f240,f722,f553]) ).
fof(f727,definition,
( spl0_91
<=> c3_1(a675) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f729,plain,
( ~ c3_1(a675)
| spl0_91 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f730,plain,
( spl0_51
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f239,f727,f525]) ).
fof(f732,definition,
( spl0_92
<=> c1_1(a675) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f735,plain,
( spl0_51
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f238,f732,f525]) ).
fof(f737,definition,
( spl0_93
<=> c2_1(a676) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f740,plain,
( spl0_52
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f237,f737,f531]) ).
fof(f742,definition,
( spl0_94
<=> c2_1(a682) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f745,plain,
( ~ spl0_50
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f94,f742,f521]) ).
fof(f747,definition,
( spl0_95
<=> c1_1(a682) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f750,plain,
( ~ spl0_50
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f93,f747,f521]) ).
fof(f757,definition,
( spl0_97
<=> c3_1(a691) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f760,plain,
( ~ spl0_49
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f91,f757,f516]) ).
fof(f762,definition,
( spl0_98
<=> c1_1(a691) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f765,plain,
( ~ spl0_49
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f90,f762,f516]) ).
fof(f767,definition,
( spl0_99
<=> c0_1(a691) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f769,plain,
( c0_1(a691)
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f770,plain,
( ~ spl0_49
| spl0_99 ),
inference(avatar_split_clause,[],[f236,f767,f516]) ).
fof(f772,definition,
( spl0_100
<=> c0_1(a693) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f774,plain,
( c0_1(a693)
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f772]) ).
fof(f775,plain,
( ~ spl0_48
| spl0_100 ),
inference(avatar_split_clause,[],[f235,f772,f511]) ).
fof(f777,definition,
( spl0_101
<=> c3_1(a695) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f779,plain,
( ~ c3_1(a695)
| spl0_101 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f780,plain,
( spl0_42
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f234,f777,f480]) ).
fof(f782,definition,
( spl0_102
<=> c0_1(a695) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f784,plain,
( c0_1(a695)
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f785,plain,
( spl0_42
| spl0_102 ),
inference(avatar_split_clause,[],[f233,f782,f480]) ).
fof(f812,definition,
( spl0_108
<=> c3_1(a641) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f814,plain,
( c3_1(a641)
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f815,plain,
( spl0_108
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f80,f569,f812]) ).
fof(f817,definition,
( spl0_109
<=> c2_1(a641) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f820,plain,
( spl0_109
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f79,f569,f817]) ).
fof(f822,definition,
( spl0_110
<=> c3_1(a642) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f824,plain,
( c3_1(a642)
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f825,plain,
( spl0_110
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f78,f465,f822]) ).
fof(f827,definition,
( spl0_111
<=> c0_1(a642) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f829,plain,
( ~ c0_1(a642)
| spl0_111 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f830,plain,
( ~ spl0_111
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f228,f465,f827]) ).
fof(f832,definition,
( spl0_112
<=> c2_1(a643) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f835,plain,
( spl0_112
| spl0_36 ),
inference(avatar_split_clause,[],[f227,f452,f832]) ).
fof(f837,definition,
( spl0_113
<=> c1_1(a643) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f840,plain,
( spl0_113
| spl0_36 ),
inference(avatar_split_clause,[],[f226,f452,f837]) ).
fof(f847,definition,
( spl0_115
<=> c1_1(a645) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f850,plain,
( spl0_115
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f73,f406,f847]) ).
fof(f852,definition,
( spl0_116
<=> c1_1(a647) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f855,plain,
( spl0_116
| spl0_38 ),
inference(avatar_split_clause,[],[f225,f460,f852]) ).
fof(f857,definition,
( spl0_117
<=> c0_1(a648) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f859,plain,
( ~ c0_1(a648)
| spl0_117 ),
inference(avatar_component_clause,[],[f857]) ).
fof(f860,plain,
( ~ spl0_117
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f224,f419,f857]) ).
fof(f862,definition,
( spl0_118
<=> c3_1(a651) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f864,plain,
( c3_1(a651)
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f865,plain,
( spl0_118
| spl0_25 ),
inference(avatar_split_clause,[],[f223,f401,f862]) ).
fof(f867,definition,
( spl0_119
<=> c3_1(a652) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f870,plain,
( spl0_119
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f69,f377,f867]) ).
fof(f872,definition,
( spl0_120
<=> c0_1(a652) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f874,plain,
( ~ c0_1(a652)
| spl0_120 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f875,plain,
( ~ spl0_120
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f222,f377,f872]) ).
fof(f887,definition,
( spl0_123
<=> c2_1(a657) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f890,plain,
( spl0_123
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f65,f385,f887]) ).
fof(f892,definition,
( spl0_124
<=> c0_1(a657) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f894,plain,
( ~ c0_1(a657)
| spl0_124 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f895,plain,
( ~ spl0_124
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f219,f385,f892]) ).
fof(f897,definition,
( spl0_125
<=> c0_1(a660) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f899,plain,
( ~ c0_1(a660)
| spl0_125 ),
inference(avatar_component_clause,[],[f897]) ).
fof(f900,plain,
( ~ spl0_125
| spl0_34 ),
inference(avatar_split_clause,[],[f218,f443,f897]) ).
fof(f902,definition,
( spl0_126
<=> c0_1(a661) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f904,plain,
( ~ c0_1(a661)
| spl0_126 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f905,plain,
( ~ spl0_126
| spl0_58 ),
inference(avatar_split_clause,[],[f217,f562,f902]) ).
fof(f907,definition,
( spl0_127
<=> c2_1(a665) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f910,plain,
( spl0_127
| spl0_55 ),
inference(avatar_split_clause,[],[f216,f545,f907]) ).
fof(f912,definition,
( spl0_128
<=> c3_1(a667) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f914,plain,
( c3_1(a667)
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f915,plain,
( spl0_128
| spl0_45 ),
inference(avatar_split_clause,[],[f215,f493,f912]) ).
fof(f917,definition,
( spl0_129
<=> c1_1(a672) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f920,plain,
( spl0_129
| spl0_56 ),
inference(avatar_split_clause,[],[f214,f553,f917]) ).
fof(f922,definition,
( spl0_130
<=> c2_1(a675) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f925,plain,
( spl0_130
| spl0_51 ),
inference(avatar_split_clause,[],[f213,f525,f922]) ).
fof(f927,definition,
( spl0_131
<=> c1_1(a676) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
fof(f930,plain,
( spl0_131
| spl0_52 ),
inference(avatar_split_clause,[],[f212,f531,f927]) ).
fof(f932,definition,
( spl0_132
<=> c0_1(a676) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f934,plain,
( ~ c0_1(a676)
| spl0_132 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f935,plain,
( ~ spl0_132
| spl0_52 ),
inference(avatar_split_clause,[],[f211,f531,f932]) ).
fof(f937,definition,
( spl0_133
<=> c3_1(a682) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
fof(f939,plain,
( c3_1(a682)
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f940,plain,
( spl0_133
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f55,f521,f937]) ).
fof(f942,definition,
( spl0_134
<=> c2_1(a686) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f944,plain,
( c2_1(a686)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f945,plain,
( spl0_134
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f54,f498,f942]) ).
fof(f947,definition,
( spl0_135
<=> c1_1(a686) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f950,plain,
( spl0_135
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f53,f498,f947]) ).
fof(f952,definition,
( spl0_136
<=> c3_1(a693) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f955,plain,
( spl0_136
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f52,f511,f952]) ).
fof(f957,definition,
( spl0_137
<=> c2_1(a693) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f960,plain,
( spl0_137
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f51,f511,f957]) ).
fof(f962,definition,
( spl0_138
<=> c2_1(a695) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
fof(f965,plain,
( spl0_138
| spl0_42 ),
inference(avatar_split_clause,[],[f210,f480,f962]) ).
fof(f992,definition,
( spl0_144
<=> c2_1(a655) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f995,plain,
( spl0_144
| spl0_30 ),
inference(avatar_split_clause,[],[f207,f424,f992]) ).
fof(f997,definition,
( spl0_145
<=> c0_1(a655) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f999,plain,
( ~ c0_1(a655)
| spl0_145 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f1000,plain,
( ~ spl0_145
| spl0_30 ),
inference(avatar_split_clause,[],[f206,f424,f997]) ).
fof(f1002,definition,
( spl0_146
<=> c2_1(a671) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
fof(f1005,plain,
( spl0_146
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f42,f539,f1002]) ).
fof(f1007,definition,
( spl0_147
<=> c1_1(a671) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
fof(f1010,plain,
( spl0_147
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f41,f539,f1007]) ).
fof(f1012,definition,
( spl0_148
<=> c0_1(a671) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f1014,plain,
( ~ c0_1(a671)
| spl0_148 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f1015,plain,
( ~ spl0_148
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f205,f539,f1012]) ).
fof(f1017,definition,
( spl0_149
<=> c3_1(a688) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f1019,plain,
( c3_1(a688)
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f1017]) ).
fof(f1020,plain,
( spl0_149
| spl0_43 ),
inference(avatar_split_clause,[],[f204,f485,f1017]) ).
fof(f1022,definition,
( spl0_150
<=> c2_1(a688) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f1025,plain,
( spl0_150
| spl0_43 ),
inference(avatar_split_clause,[],[f203,f485,f1022]) ).
fof(f1027,definition,
( spl0_151
<=> c1_1(a688) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f1030,plain,
( spl0_151
| spl0_43 ),
inference(avatar_split_clause,[],[f202,f485,f1027]) ).
fof(f1032,plain,
( spl0_59
| spl0_47
| spl0_46 ),
inference(avatar_split_clause,[],[f35,f498,f505,f569]) ).
fof(f1033,plain,
( spl0_50
| spl0_48
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f200,f452,f511,f521]) ).
fof(f1034,plain,
( ~ spl0_51
| ~ spl0_55
| spl0_39 ),
inference(avatar_split_clause,[],[f199,f465,f545,f525]) ).
fof(f1035,plain,
( spl0_46
| ~ spl0_36
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f198,f531,f452,f498]) ).
fof(f1036,plain,
( ~ spl0_25
| spl0_39
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f197,f531,f465,f401]) ).
fof(f1037,plain,
( spl0_3
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f30,f569,f320]) ).
fof(f1057,plain,
( spl0_3
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f10,f498,f320]) ).
fof(f1061,plain,
( spl0_3
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f6,f505,f320]) ).
fof(f1067,plain,
( c1_1(a641)
| ~ c2_1(a641)
| ~ spl0_2
| ~ spl0_108 ),
inference(resolution,[],[f318,f814]) ).
fof(f1068,plain,
( c1_1(a642)
| ~ c2_1(a642)
| ~ spl0_2
| ~ spl0_110 ),
inference(resolution,[],[f318,f824]) ).
fof(f1070,definition,
( spl0_152
<=> c2_1(a642) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
fof(f1077,plain,
( ~ c2_1(a671)
| ~ c1_1(a671)
| ~ spl0_5
| spl0_148 ),
inference(resolution,[],[f329,f1014]) ).
fof(f1078,plain,
( ~ c2_1(a655)
| ~ c1_1(a655)
| ~ spl0_5
| spl0_145 ),
inference(resolution,[],[f329,f999]) ).
fof(f1125,definition,
( spl0_154
<=> c2_1(a647) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
fof(f1130,definition,
( spl0_155
<=> c2_1(a651) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f1135,definition,
( spl0_156
<=> c2_1(a661) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f1151,plain,
( c2_1(a676)
| ~ c1_1(a676)
| ~ spl0_7
| spl0_132 ),
inference(resolution,[],[f336,f934]) ).
fof(f1159,plain,
( c2_1(a648)
| ~ c1_1(a648)
| ~ spl0_7
| spl0_117 ),
inference(resolution,[],[f336,f859]) ).
fof(f1171,definition,
( spl0_159
<=> c1_1(a648) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
fof(f1174,plain,
( ~ spl0_159
| spl0_72
| ~ spl0_7
| spl0_117 ),
inference(avatar_split_clause,[],[f1159,f857,f335,f632,f1171]) ).
fof(f1186,definition,
( spl0_162
<=> c1_1(a667) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
fof(f1191,definition,
( spl0_163
<=> c1_1(a693) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
fof(f1196,definition,
( spl0_164
<=> c1_1(a695) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
fof(f1201,definition,
( spl0_165
<=> c1_1(a655) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
fof(f1213,plain,
( c3_1(a661)
| ~ c2_1(a661)
| ~ spl0_10
| spl0_126 ),
inference(resolution,[],[f346,f904]) ).
fof(f1215,plain,
( c3_1(a657)
| ~ c2_1(a657)
| ~ spl0_10
| spl0_124 ),
inference(resolution,[],[f346,f894]) ).
fof(f1225,plain,
( c3_1(a643)
| ~ c1_1(a643)
| ~ spl0_12
| ~ spl0_64 ),
inference(resolution,[],[f354,f594]) ).
fof(f1234,definition,
( spl0_166
<=> c3_1(a643) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
fof(f1236,plain,
( c3_1(a643)
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f1234]) ).
fof(f1237,plain,
( ~ spl0_113
| spl0_166
| ~ spl0_12
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f1225,f592,f353,f1234,f837]) ).
fof(f1238,plain,
( ~ spl0_131
| spl0_93
| ~ spl0_7
| spl0_132 ),
inference(avatar_split_clause,[],[f1151,f932,f335,f737,f927]) ).
fof(f1251,plain,
( ~ c2_1(a695)
| c1_1(a695)
| ~ spl0_6
| spl0_101 ),
inference(resolution,[],[f333,f779]) ).
fof(f1254,plain,
( ~ c2_1(a675)
| c1_1(a675)
| ~ spl0_6
| spl0_91 ),
inference(resolution,[],[f333,f729]) ).
fof(f1278,plain,
( ! [X0] :
( c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0)
| ~ c2_1(X0) )
| ~ spl0_10
| ~ spl0_18 ),
inference(resolution,[],[f374,f346]) ).
fof(f1281,plain,
( c1_1(a651)
| ~ c2_1(a651)
| ~ spl0_18
| ~ spl0_74 ),
inference(resolution,[],[f374,f644]) ).
fof(f1283,plain,
( ! [X0] :
( c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) )
| ~ spl0_10
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f1278]) ).
fof(f1287,plain,
( c3_1(a665)
| c1_1(a665)
| ~ spl0_17
| ~ spl0_86 ),
inference(resolution,[],[f371,f704]) ).
fof(f1291,definition,
( spl0_167
<=> c3_1(a665) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
fof(f1305,plain,
( ! [X0] :
( c3_1(X0)
| c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) )
| ~ spl0_12
| ~ spl0_22 ),
inference(resolution,[],[f390,f354]) ).
fof(f1319,plain,
( c3_1(a648)
| c2_1(a648)
| ~ spl0_22
| spl0_117 ),
inference(resolution,[],[f390,f859]) ).
fof(f1326,plain,
( ! [X0] :
( c3_1(X0)
| c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_12
| ~ spl0_22 ),
inference(duplicate_literal_removal,[],[f1305]) ).
fof(f1330,definition,
( spl0_168
<=> c3_1(a654) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
fof(f1338,plain,
( spl0_72
| spl0_71
| ~ spl0_22
| spl0_117 ),
inference(avatar_split_clause,[],[f1319,f857,f389,f627,f632]) ).
fof(f1354,definition,
( spl0_171
<=> c3_1(a676) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
fof(f1355,plain,
( ~ c3_1(a676)
| spl0_171 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f1375,plain,
( c3_1(a647)
| ~ c1_1(a647)
| ~ spl0_12
| ~ spl0_70 ),
inference(resolution,[],[f624,f354]) ).
fof(f1376,plain,
( ~ spl0_116
| spl0_69
| ~ spl0_12
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f1375,f622,f353,f617,f852]) ).
fof(f1378,plain,
( ~ c2_1(a661)
| c1_1(a661)
| ~ spl0_6
| spl0_83 ),
inference(resolution,[],[f689,f333]) ).
fof(f1379,plain,
( c3_1(a691)
| c1_1(a691)
| ~ spl0_17
| ~ spl0_99 ),
inference(resolution,[],[f769,f371]) ).
fof(f1381,plain,
( spl0_98
| spl0_97
| ~ spl0_17
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f1379,f767,f370,f757,f762]) ).
fof(f1400,plain,
( c2_1(a661)
| c1_1(a661)
| ~ spl0_13
| spl0_126 ),
inference(resolution,[],[f357,f904]) ).
fof(f1401,plain,
( c2_1(a660)
| c1_1(a660)
| ~ spl0_13
| spl0_125 ),
inference(resolution,[],[f357,f899]) ).
fof(f1418,plain,
( spl0_82
| spl0_81
| ~ spl0_13
| spl0_125 ),
inference(avatar_split_clause,[],[f1401,f897,f356,f677,f682]) ).
fof(f1428,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f315,f329]) ).
fof(f1431,plain,
( ~ c1_1(a647)
| ~ c2_1(a647)
| ~ spl0_1
| ~ spl0_70 ),
inference(resolution,[],[f315,f624]) ).
fof(f1433,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_1
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f1428]) ).
fof(f1449,plain,
( c3_1(a661)
| c1_1(a661)
| ~ spl0_8
| spl0_126 ),
inference(resolution,[],[f340,f904]) ).
fof(f1454,plain,
( c3_1(a648)
| c1_1(a648)
| ~ spl0_8
| spl0_117 ),
inference(resolution,[],[f340,f859]) ).
fof(f1467,plain,
( spl0_84
| spl0_83
| ~ spl0_8
| spl0_126 ),
inference(avatar_split_clause,[],[f1449,f902,f339,f687,f692]) ).
fof(f1531,plain,
( c3_1(a654)
| c1_1(a654)
| ~ spl0_17
| ~ spl0_78 ),
inference(resolution,[],[f664,f371]) ).
fof(f1575,plain,
( c2_1(a676)
| ~ c3_1(a676)
| ~ spl0_33
| spl0_132 ),
inference(resolution,[],[f439,f934]) ).
fof(f1581,plain,
( c2_1(a652)
| ~ c3_1(a652)
| ~ spl0_33
| spl0_120 ),
inference(resolution,[],[f439,f874]) ).
fof(f1584,plain,
( c2_1(a642)
| ~ c3_1(a642)
| ~ spl0_33
| spl0_111 ),
inference(resolution,[],[f439,f829]) ).
fof(f1591,plain,
( c2_1(a682)
| c1_1(a682)
| ~ spl0_35
| ~ spl0_133 ),
inference(resolution,[],[f449,f939]) ).
fof(f1594,plain,
( c2_1(a651)
| c1_1(a651)
| ~ spl0_35
| ~ spl0_118 ),
inference(resolution,[],[f449,f864]) ).
fof(f1603,plain,
( ! [X0] :
( ~ c1_1(X0)
| c2_1(X0)
| c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_20
| ~ spl0_37 ),
inference(resolution,[],[f457,f382]) ).
fof(f1612,plain,
( ~ c1_1(a676)
| c2_1(a676)
| ~ spl0_37
| spl0_171 ),
inference(resolution,[],[f457,f1355]) ).
fof(f1614,plain,
( ~ c1_1(a672)
| c2_1(a672)
| ~ spl0_37
| spl0_89 ),
inference(resolution,[],[f457,f719]) ).
fof(f1621,plain,
( ~ c1_1(a647)
| c2_1(a647)
| ~ spl0_37
| spl0_69 ),
inference(resolution,[],[f457,f619]) ).
fof(f1628,plain,
( ! [X0] :
( c2_1(X0)
| ~ c1_1(X0) )
| ~ spl0_20
| ~ spl0_37 ),
inference(duplicate_literal_removal,[],[f1603]) ).
fof(f1632,plain,
( spl0_154
| ~ spl0_116
| ~ spl0_37
| spl0_69 ),
inference(avatar_split_clause,[],[f1621,f617,f456,f852,f1125]) ).
fof(f1633,plain,
( spl0_90
| ~ spl0_129
| ~ spl0_37
| spl0_89 ),
inference(avatar_split_clause,[],[f1614,f717,f456,f917,f722]) ).
fof(f1634,plain,
( spl0_93
| ~ spl0_131
| ~ spl0_37
| spl0_171 ),
inference(avatar_split_clause,[],[f1612,f1354,f456,f927,f737]) ).
fof(f1635,plain,
( ! [X0] :
( c1_1(X0)
| ~ c3_1(X0)
| c2_1(X0)
| ~ c3_1(X0) )
| ~ spl0_27
| ~ spl0_33 ),
inference(resolution,[],[f411,f439]) ).
fof(f1639,plain,
( c1_1(a665)
| ~ c3_1(a665)
| ~ spl0_27
| ~ spl0_86 ),
inference(resolution,[],[f411,f704]) ).
fof(f1640,plain,
( c1_1(a651)
| ~ c3_1(a651)
| ~ spl0_27
| ~ spl0_74 ),
inference(resolution,[],[f411,f644]) ).
fof(f1643,plain,
( c1_1(a654)
| ~ c3_1(a654)
| ~ spl0_27
| ~ spl0_78 ),
inference(resolution,[],[f411,f664]) ).
fof(f1645,plain,
( ! [X0] :
( c1_1(X0)
| ~ c3_1(X0)
| c2_1(X0) )
| ~ spl0_27
| ~ spl0_33 ),
inference(duplicate_literal_removal,[],[f1635]) ).
fof(f1647,plain,
( ~ spl0_118
| spl0_73
| ~ spl0_27
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1640,f642,f410,f637,f862]) ).
fof(f1649,plain,
( spl0_35
| ~ spl0_27
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1645,f438,f410,f448]) ).
fof(f1651,plain,
( ~ spl0_171
| spl0_93
| ~ spl0_33
| spl0_132 ),
inference(avatar_split_clause,[],[f1575,f932,f438,f737,f1354]) ).
fof(f1653,plain,
( ~ spl0_123
| spl0_80
| ~ spl0_10
| spl0_124 ),
inference(avatar_split_clause,[],[f1215,f892,f345,f672,f887]) ).
fof(f1656,plain,
( ~ c1_1(a643)
| ~ c2_1(a643)
| ~ spl0_1
| ~ spl0_64 ),
inference(resolution,[],[f594,f315]) ).
fof(f1661,plain,
( ~ spl0_112
| ~ spl0_113
| ~ spl0_1
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f1656,f592,f314,f837,f832]) ).
fof(f1667,plain,
( spl0_84
| spl0_156
| ~ spl0_13
| spl0_126 ),
inference(avatar_split_clause,[],[f1400,f902,f356,f1135,f692]) ).
fof(f1670,plain,
( spl0_6
| ~ spl0_10
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1283,f373,f345,f332]) ).
fof(f1673,plain,
( ~ spl0_156
| spl0_83
| ~ spl0_10
| spl0_126 ),
inference(avatar_split_clause,[],[f1213,f902,f345,f687,f1135]) ).
fof(f1678,plain,
( ~ spl0_155
| spl0_73
| ~ spl0_18
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1281,f642,f373,f637,f1130]) ).
fof(f1714,plain,
( c1_1(a655)
| ~ c2_1(a655)
| ~ spl0_9
| spl0_145 ),
inference(resolution,[],[f343,f999]) ).
fof(f1718,plain,
( c1_1(a661)
| ~ c2_1(a661)
| ~ spl0_9
| spl0_126 ),
inference(resolution,[],[f343,f904]) ).
fof(f1723,plain,
( c1_1(a642)
| ~ c2_1(a642)
| ~ spl0_9
| spl0_111 ),
inference(resolution,[],[f343,f829]) ).
fof(f1729,plain,
( ~ spl0_156
| spl0_84
| ~ spl0_9
| spl0_126 ),
inference(avatar_split_clause,[],[f1718,f902,f342,f692,f1135]) ).
fof(f1736,plain,
( spl0_159
| spl0_71
| ~ spl0_8
| spl0_117 ),
inference(avatar_split_clause,[],[f1454,f857,f339,f627,f1171]) ).
fof(f1768,plain,
( ~ c1_1(a645)
| ~ spl0_20
| ~ spl0_37
| spl0_65 ),
inference(resolution,[],[f1628,f599]) ).
fof(f1827,plain,
( ~ c1_1(a688)
| ~ c2_1(a688)
| ~ spl0_4
| ~ spl0_149 ),
inference(resolution,[],[f325,f1019]) ).
fof(f1838,plain,
( ~ c1_1(a643)
| ~ c2_1(a643)
| ~ spl0_4
| ~ spl0_166 ),
inference(resolution,[],[f325,f1236]) ).
fof(f1847,plain,
( c3_1(a695)
| ~ c1_1(a695)
| ~ spl0_12
| ~ spl0_102 ),
inference(resolution,[],[f354,f784]) ).
fof(f1864,plain,
( ~ spl0_164
| spl0_101
| ~ spl0_12
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f1847,f782,f353,f777,f1196]) ).
fof(f1912,plain,
( ! [X0] :
( c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0)
| c1_1(X0) )
| ~ spl0_8
| ~ spl0_18 ),
inference(resolution,[],[f374,f340]) ).
fof(f1917,plain,
( c1_1(a695)
| ~ c2_1(a695)
| ~ spl0_18
| ~ spl0_102 ),
inference(resolution,[],[f374,f784]) ).
fof(f1921,plain,
( c1_1(a665)
| ~ c2_1(a665)
| ~ spl0_18
| ~ spl0_86 ),
inference(resolution,[],[f374,f704]) ).
fof(f1931,plain,
( ! [X0] :
( c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) )
| ~ spl0_8
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f1912]) ).
fof(f1939,plain,
( spl0_6
| ~ spl0_8
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1931,f373,f339,f332]) ).
fof(f1940,plain,
( ~ spl0_109
| spl0_62
| ~ spl0_2
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1067,f812,f317,f582,f817]) ).
fof(f1941,plain,
( ~ spl0_152
| spl0_63
| ~ spl0_2
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1068,f822,f317,f587,f1070]) ).
fof(f1946,plain,
( spl0_164
| ~ spl0_138
| ~ spl0_6
| spl0_101 ),
inference(avatar_split_clause,[],[f1251,f777,f332,f962,f1196]) ).
fof(f1950,plain,
( spl0_84
| ~ spl0_156
| ~ spl0_6
| spl0_83 ),
inference(avatar_split_clause,[],[f1378,f687,f332,f1135,f692]) ).
fof(f1952,plain,
( ~ spl0_152
| spl0_63
| ~ spl0_9
| spl0_111 ),
inference(avatar_split_clause,[],[f1723,f827,f342,f587,f1070]) ).
fof(f1953,plain,
( ~ spl0_144
| spl0_165
| ~ spl0_9
| spl0_145 ),
inference(avatar_split_clause,[],[f1714,f997,f342,f1201,f992]) ).
fof(f1977,plain,
( spl0_77
| spl0_168
| ~ spl0_17
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1531,f662,f370,f1330,f657]) ).
fof(f1978,plain,
( spl0_85
| spl0_167
| ~ spl0_17
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1287,f702,f370,f1291,f697]) ).
fof(f1983,plain,
( ~ spl0_115
| ~ spl0_20
| ~ spl0_37
| spl0_65 ),
inference(avatar_split_clause,[],[f1768,f597,f456,f381,f847]) ).
fof(f1988,plain,
( ~ spl0_110
| spl0_152
| ~ spl0_33
| spl0_111 ),
inference(avatar_split_clause,[],[f1584,f827,f438,f1070,f822]) ).
fof(f1997,plain,
( ~ spl0_112
| ~ spl0_113
| ~ spl0_4
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f1838,f1234,f324,f837,f832]) ).
fof(f2000,plain,
( ~ spl0_119
| spl0_75
| ~ spl0_33
| spl0_120 ),
inference(avatar_split_clause,[],[f1581,f872,f438,f647,f867]) ).
fof(f2009,plain,
( spl0_37
| ~ spl0_12
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1326,f389,f353,f456]) ).
fof(f2025,plain,
( ~ spl0_138
| spl0_164
| ~ spl0_18
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f1917,f782,f373,f1196,f962]) ).
fof(f2027,plain,
( ~ spl0_127
| spl0_85
| ~ spl0_18
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1921,f702,f373,f697,f907]) ).
fof(f2029,plain,
( ~ spl0_167
| spl0_85
| ~ spl0_27
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1639,f702,f410,f697,f1291]) ).
fof(f2050,plain,
( ~ c1_1(a695)
| ~ c2_1(a695)
| ~ spl0_1
| ~ spl0_102 ),
inference(resolution,[],[f315,f784]) ).
fof(f2051,plain,
( ~ c1_1(a693)
| ~ c2_1(a693)
| ~ spl0_1
| ~ spl0_100 ),
inference(resolution,[],[f315,f774]) ).
fof(f2087,plain,
( spl0_92
| ~ spl0_130
| ~ spl0_6
| spl0_91 ),
inference(avatar_split_clause,[],[f1254,f727,f332,f922,f732]) ).
fof(f2094,plain,
( ~ spl0_137
| ~ spl0_163
| ~ spl0_1
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f2051,f772,f314,f1191,f957]) ).
fof(f2095,plain,
( ~ spl0_138
| ~ spl0_164
| ~ spl0_1
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f2050,f782,f314,f1196,f962]) ).
fof(f2096,plain,
( ~ spl0_154
| ~ spl0_116
| ~ spl0_1
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f1431,f622,f314,f852,f1125]) ).
fof(f2246,plain,
( c2_1(a667)
| ~ c1_1(a667)
| ~ spl0_20
| ~ spl0_128 ),
inference(resolution,[],[f382,f914]) ).
fof(f2283,plain,
( c1_1(a693)
| ~ c3_1(a693)
| ~ spl0_27
| ~ spl0_100 ),
inference(resolution,[],[f411,f774]) ).
fof(f2285,plain,
( c1_1(a667)
| ~ c3_1(a667)
| ~ spl0_27
| ~ spl0_88 ),
inference(resolution,[],[f411,f714]) ).
fof(f2295,plain,
( ~ spl0_128
| spl0_162
| ~ spl0_27
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f2285,f712,f410,f1186,f912]) ).
fof(f2298,plain,
( ~ spl0_162
| spl0_87
| ~ spl0_20
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f2246,f912,f381,f707,f1186]) ).
fof(f2305,plain,
( ~ spl0_150
| ~ spl0_151
| ~ spl0_4
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f1827,f1017,f324,f1027,f1022]) ).
fof(f2311,plain,
( ~ spl0_147
| ~ spl0_146
| ~ spl0_5
| spl0_148 ),
inference(avatar_split_clause,[],[f1077,f1012,f328,f1002,f1007]) ).
fof(f2312,plain,
( ~ spl0_165
| ~ spl0_144
| ~ spl0_5
| spl0_145 ),
inference(avatar_split_clause,[],[f1078,f997,f328,f992,f1201]) ).
fof(f2326,plain,
( spl0_95
| spl0_94
| ~ spl0_35
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f1591,f937,f448,f742,f747]) ).
fof(f2327,plain,
( spl0_73
| spl0_155
| ~ spl0_35
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1594,f862,f448,f1130,f637]) ).
fof(f2329,plain,
( ~ spl0_168
| spl0_77
| ~ spl0_27
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1643,f662,f410,f657,f1330]) ).
fof(f2330,plain,
( ~ spl0_136
| spl0_163
| ~ spl0_27
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f2283,f772,f410,f1191,f952]) ).
fof(f2360,plain,
( ~ c1_1(a686)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_134 ),
inference(resolution,[],[f1433,f944]) ).
fof(f2368,plain,
( ~ spl0_135
| ~ spl0_1
| ~ spl0_5
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f2360,f942,f328,f314,f947]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f326]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f330]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f347]) ).
cnf(s6,plain,
( spl0_1
| ~ spl0_3
| spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f358]) ).
cnf(s8,plain,
( ~ spl0_3
| spl0_7
| spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f375]) ).
cnf(s9,plain,
( ~ spl0_3
| spl0_4
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f383]) ).
cnf(s10,plain,
( ~ spl0_3
| spl0_4
| spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f391]) ).
cnf(s12,plain,
( ~ spl0_3
| spl0_5
| spl0_8
| ~ spl0_25 ),
inference(sat_conversion,[],[f404]) ).
cnf(s13,plain,
( ~ spl0_3
| spl0_4
| spl0_26
| spl0_27 ),
inference(sat_conversion,[],[f412]) ).
cnf(s14,plain,
( ~ spl0_3
| spl0_5
| spl0_19
| spl0_27 ),
inference(sat_conversion,[],[f413]) ).
cnf(s16,plain,
( ~ spl0_3
| spl0_12
| spl0_20
| spl0_29 ),
inference(sat_conversion,[],[f422]) ).
cnf(s17,plain,
( spl0_2
| ~ spl0_3
| spl0_12
| ~ spl0_30 ),
inference(sat_conversion,[],[f427]) ).
cnf(s21,plain,
( ~ spl0_3
| spl0_10
| spl0_22 ),
inference(sat_conversion,[],[f441]) ).
cnf(s24,plain,
( ~ spl0_3
| spl0_27
| ~ spl0_36
| spl0_37 ),
inference(sat_conversion,[],[f458]) ).
cnf(s25,plain,
( ~ spl0_3
| spl0_6
| spl0_18
| ~ spl0_38 ),
inference(sat_conversion,[],[f463]) ).
cnf(s31,plain,
( ~ spl0_3
| spl0_10
| spl0_23
| ~ spl0_45 ),
inference(sat_conversion,[],[f496]) ).
cnf(s33,plain,
( ~ spl0_3
| spl0_10
| spl0_39
| ~ spl0_43 ),
inference(sat_conversion,[],[f502]) ).
cnf(s36,plain,
( ~ spl0_3
| spl0_33
| ~ spl0_38
| ~ spl0_42 ),
inference(sat_conversion,[],[f509]) ).
cnf(s37,plain,
( ~ spl0_3
| spl0_33
| spl0_46
| spl0_48 ),
inference(sat_conversion,[],[f514]) ).
cnf(s38,plain,
( ~ spl0_3
| spl0_21
| spl0_33
| spl0_49 ),
inference(sat_conversion,[],[f519]) ).
cnf(s39,plain,
( spl0_2
| ~ spl0_3
| spl0_50
| ~ spl0_51 ),
inference(sat_conversion,[],[f528]) ).
cnf(s40,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_25
| ~ spl0_51 ),
inference(sat_conversion,[],[f529]) ).
cnf(s45,plain,
( ~ spl0_3
| spl0_37
| ~ spl0_38
| ~ spl0_43 ),
inference(sat_conversion,[],[f549]) ).
cnf(s47,plain,
( ~ spl0_3
| spl0_19
| spl0_22
| spl0_50 ),
inference(sat_conversion,[],[f551]) ).
cnf(s48,plain,
( ~ spl0_3
| spl0_35
| spl0_54
| ~ spl0_56 ),
inference(sat_conversion,[],[f556]) ).
cnf(s50,plain,
( ~ spl0_3
| spl0_12
| ~ spl0_34
| ~ spl0_58 ),
inference(sat_conversion,[],[f565]) ).
cnf(s51,plain,
( ~ spl0_3
| spl0_18
| spl0_29
| ~ spl0_36 ),
inference(sat_conversion,[],[f566]) ).
cnf(s53,plain,
( ~ spl0_3
| spl0_17
| ~ spl0_36
| spl0_59 ),
inference(sat_conversion,[],[f572]) ).
cnf(s55,plain,
( ~ spl0_59
| ~ spl0_62 ),
inference(sat_conversion,[],[f585]) ).
cnf(s56,plain,
( ~ spl0_39
| ~ spl0_63 ),
inference(sat_conversion,[],[f590]) ).
cnf(s57,plain,
( spl0_36
| spl0_64 ),
inference(sat_conversion,[],[f595]) ).
cnf(s58,plain,
( ~ spl0_26
| ~ spl0_65 ),
inference(sat_conversion,[],[f600]) ).
cnf(s62,plain,
( spl0_38
| ~ spl0_69 ),
inference(sat_conversion,[],[f620]) ).
cnf(s63,plain,
( spl0_38
| spl0_70 ),
inference(sat_conversion,[],[f625]) ).
cnf(s64,plain,
( ~ spl0_29
| ~ spl0_71 ),
inference(sat_conversion,[],[f630]) ).
cnf(s65,plain,
( ~ spl0_29
| ~ spl0_72 ),
inference(sat_conversion,[],[f635]) ).
cnf(s66,plain,
( spl0_25
| ~ spl0_73 ),
inference(sat_conversion,[],[f640]) ).
cnf(s67,plain,
( spl0_25
| spl0_74 ),
inference(sat_conversion,[],[f645]) ).
cnf(s68,plain,
( ~ spl0_19
| ~ spl0_75 ),
inference(sat_conversion,[],[f650]) ).
cnf(s70,plain,
( ~ spl0_23
| ~ spl0_77 ),
inference(sat_conversion,[],[f660]) ).
cnf(s71,plain,
( ~ spl0_23
| spl0_78 ),
inference(sat_conversion,[],[f665]) ).
cnf(s73,plain,
( ~ spl0_21
| ~ spl0_80 ),
inference(sat_conversion,[],[f675]) ).
cnf(s74,plain,
( spl0_34
| ~ spl0_81 ),
inference(sat_conversion,[],[f680]) ).
cnf(s75,plain,
( spl0_34
| ~ spl0_82 ),
inference(sat_conversion,[],[f685]) ).
cnf(s76,plain,
( spl0_58
| ~ spl0_83 ),
inference(sat_conversion,[],[f690]) ).
cnf(s77,plain,
( spl0_58
| ~ spl0_84 ),
inference(sat_conversion,[],[f695]) ).
cnf(s78,plain,
( spl0_55
| ~ spl0_85 ),
inference(sat_conversion,[],[f700]) ).
cnf(s79,plain,
( spl0_55
| spl0_86 ),
inference(sat_conversion,[],[f705]) ).
cnf(s80,plain,
( spl0_45
| ~ spl0_87 ),
inference(sat_conversion,[],[f710]) ).
cnf(s81,plain,
( spl0_45
| spl0_88 ),
inference(sat_conversion,[],[f715]) ).
cnf(s82,plain,
( spl0_56
| ~ spl0_89 ),
inference(sat_conversion,[],[f720]) ).
cnf(s83,plain,
( spl0_56
| ~ spl0_90 ),
inference(sat_conversion,[],[f725]) ).
cnf(s84,plain,
( spl0_51
| ~ spl0_91 ),
inference(sat_conversion,[],[f730]) ).
cnf(s85,plain,
( spl0_51
| ~ spl0_92 ),
inference(sat_conversion,[],[f735]) ).
cnf(s86,plain,
( spl0_52
| ~ spl0_93 ),
inference(sat_conversion,[],[f740]) ).
cnf(s87,plain,
( ~ spl0_50
| ~ spl0_94 ),
inference(sat_conversion,[],[f745]) ).
cnf(s88,plain,
( ~ spl0_50
| ~ spl0_95 ),
inference(sat_conversion,[],[f750]) ).
cnf(s90,plain,
( ~ spl0_49
| ~ spl0_97 ),
inference(sat_conversion,[],[f760]) ).
cnf(s91,plain,
( ~ spl0_49
| ~ spl0_98 ),
inference(sat_conversion,[],[f765]) ).
cnf(s92,plain,
( ~ spl0_49
| spl0_99 ),
inference(sat_conversion,[],[f770]) ).
cnf(s93,plain,
( ~ spl0_48
| spl0_100 ),
inference(sat_conversion,[],[f775]) ).
cnf(s94,plain,
( spl0_42
| ~ spl0_101 ),
inference(sat_conversion,[],[f780]) ).
cnf(s95,plain,
( spl0_42
| spl0_102 ),
inference(sat_conversion,[],[f785]) ).
cnf(s101,plain,
( ~ spl0_59
| spl0_108 ),
inference(sat_conversion,[],[f815]) ).
cnf(s102,plain,
( ~ spl0_59
| spl0_109 ),
inference(sat_conversion,[],[f820]) ).
cnf(s103,plain,
( ~ spl0_39
| spl0_110 ),
inference(sat_conversion,[],[f825]) ).
cnf(s104,plain,
( ~ spl0_39
| ~ spl0_111 ),
inference(sat_conversion,[],[f830]) ).
cnf(s105,plain,
( spl0_36
| spl0_112 ),
inference(sat_conversion,[],[f835]) ).
cnf(s106,plain,
( spl0_36
| spl0_113 ),
inference(sat_conversion,[],[f840]) ).
cnf(s108,plain,
( ~ spl0_26
| spl0_115 ),
inference(sat_conversion,[],[f850]) ).
cnf(s109,plain,
( spl0_38
| spl0_116 ),
inference(sat_conversion,[],[f855]) ).
cnf(s110,plain,
( ~ spl0_29
| ~ spl0_117 ),
inference(sat_conversion,[],[f860]) ).
cnf(s111,plain,
( spl0_25
| spl0_118 ),
inference(sat_conversion,[],[f865]) ).
cnf(s112,plain,
( ~ spl0_19
| spl0_119 ),
inference(sat_conversion,[],[f870]) ).
cnf(s113,plain,
( ~ spl0_19
| ~ spl0_120 ),
inference(sat_conversion,[],[f875]) ).
cnf(s116,plain,
( ~ spl0_21
| spl0_123 ),
inference(sat_conversion,[],[f890]) ).
cnf(s117,plain,
( ~ spl0_21
| ~ spl0_124 ),
inference(sat_conversion,[],[f895]) ).
cnf(s118,plain,
( spl0_34
| ~ spl0_125 ),
inference(sat_conversion,[],[f900]) ).
cnf(s119,plain,
( spl0_58
| ~ spl0_126 ),
inference(sat_conversion,[],[f905]) ).
cnf(s120,plain,
( spl0_55
| spl0_127 ),
inference(sat_conversion,[],[f910]) ).
cnf(s121,plain,
( spl0_45
| spl0_128 ),
inference(sat_conversion,[],[f915]) ).
cnf(s122,plain,
( spl0_56
| spl0_129 ),
inference(sat_conversion,[],[f920]) ).
cnf(s123,plain,
( spl0_51
| spl0_130 ),
inference(sat_conversion,[],[f925]) ).
cnf(s124,plain,
( spl0_52
| spl0_131 ),
inference(sat_conversion,[],[f930]) ).
cnf(s125,plain,
( spl0_52
| ~ spl0_132 ),
inference(sat_conversion,[],[f935]) ).
cnf(s126,plain,
( ~ spl0_50
| spl0_133 ),
inference(sat_conversion,[],[f940]) ).
cnf(s127,plain,
( ~ spl0_46
| spl0_134 ),
inference(sat_conversion,[],[f945]) ).
cnf(s128,plain,
( ~ spl0_46
| spl0_135 ),
inference(sat_conversion,[],[f950]) ).
cnf(s129,plain,
( ~ spl0_48
| spl0_136 ),
inference(sat_conversion,[],[f955]) ).
cnf(s130,plain,
( ~ spl0_48
| spl0_137 ),
inference(sat_conversion,[],[f960]) ).
cnf(s131,plain,
( spl0_42
| spl0_138 ),
inference(sat_conversion,[],[f965]) ).
cnf(s137,plain,
( spl0_30
| spl0_144 ),
inference(sat_conversion,[],[f995]) ).
cnf(s138,plain,
( spl0_30
| ~ spl0_145 ),
inference(sat_conversion,[],[f1000]) ).
cnf(s139,plain,
( ~ spl0_54
| spl0_146 ),
inference(sat_conversion,[],[f1005]) ).
cnf(s140,plain,
( ~ spl0_54
| spl0_147 ),
inference(sat_conversion,[],[f1010]) ).
cnf(s141,plain,
( ~ spl0_54
| ~ spl0_148 ),
inference(sat_conversion,[],[f1015]) ).
cnf(s142,plain,
( spl0_43
| spl0_149 ),
inference(sat_conversion,[],[f1020]) ).
cnf(s143,plain,
( spl0_43
| spl0_150 ),
inference(sat_conversion,[],[f1025]) ).
cnf(s144,plain,
( spl0_43
| spl0_151 ),
inference(sat_conversion,[],[f1030]) ).
cnf(s146,plain,
( spl0_46
| spl0_47
| spl0_59 ),
inference(sat_conversion,[],[f1032]) ).
cnf(s147,plain,
( ~ spl0_36
| spl0_48
| spl0_50 ),
inference(sat_conversion,[],[f1033]) ).
cnf(s148,plain,
( spl0_39
| ~ spl0_51
| ~ spl0_55 ),
inference(sat_conversion,[],[f1034]) ).
cnf(s149,plain,
( ~ spl0_36
| spl0_46
| ~ spl0_52 ),
inference(sat_conversion,[],[f1035]) ).
cnf(s150,plain,
( ~ spl0_25
| spl0_39
| ~ spl0_52 ),
inference(sat_conversion,[],[f1036]) ).
cnf(s151,plain,
( spl0_3
| ~ spl0_59 ),
inference(sat_conversion,[],[f1037]) ).
cnf(s171,plain,
( spl0_3
| ~ spl0_46 ),
inference(sat_conversion,[],[f1057]) ).
cnf(s175,plain,
( spl0_3
| ~ spl0_47 ),
inference(sat_conversion,[],[f1061]) ).
cnf(s190,plain,
( ~ spl0_7
| spl0_72
| spl0_117
| ~ spl0_159 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s197,plain,
( ~ spl0_12
| ~ spl0_64
| ~ spl0_113
| spl0_166 ),
inference(sat_conversion,[],[f1237]) ).
cnf(s198,plain,
( ~ spl0_7
| spl0_93
| ~ spl0_131
| spl0_132 ),
inference(sat_conversion,[],[f1238]) ).
cnf(s209,plain,
( ~ spl0_22
| spl0_71
| spl0_72
| spl0_117 ),
inference(sat_conversion,[],[f1338]) ).
cnf(s223,plain,
( ~ spl0_12
| spl0_69
| ~ spl0_70
| ~ spl0_116 ),
inference(sat_conversion,[],[f1376]) ).
cnf(s225,plain,
( ~ spl0_17
| spl0_97
| spl0_98
| ~ spl0_99 ),
inference(sat_conversion,[],[f1381]) ).
cnf(s233,plain,
( ~ spl0_13
| spl0_81
| spl0_82
| spl0_125 ),
inference(sat_conversion,[],[f1418]) ).
cnf(s249,plain,
( ~ spl0_8
| spl0_83
| spl0_84
| spl0_126 ),
inference(sat_conversion,[],[f1467]) ).
cnf(s270,plain,
( ~ spl0_37
| spl0_69
| ~ spl0_116
| spl0_154 ),
inference(sat_conversion,[],[f1632]) ).
cnf(s271,plain,
( ~ spl0_37
| spl0_89
| spl0_90
| ~ spl0_129 ),
inference(sat_conversion,[],[f1633]) ).
cnf(s272,plain,
( ~ spl0_37
| spl0_93
| ~ spl0_131
| spl0_171 ),
inference(sat_conversion,[],[f1634]) ).
cnf(s274,plain,
( ~ spl0_27
| spl0_73
| ~ spl0_74
| ~ spl0_118 ),
inference(sat_conversion,[],[f1647]) ).
cnf(s276,plain,
( ~ spl0_27
| ~ spl0_33
| spl0_35 ),
inference(sat_conversion,[],[f1649]) ).
cnf(s277,plain,
( ~ spl0_33
| spl0_93
| spl0_132
| ~ spl0_171 ),
inference(sat_conversion,[],[f1651]) ).
cnf(s279,plain,
( ~ spl0_10
| spl0_80
| ~ spl0_123
| spl0_124 ),
inference(sat_conversion,[],[f1653]) ).
cnf(s284,plain,
( ~ spl0_1
| ~ spl0_64
| ~ spl0_112
| ~ spl0_113 ),
inference(sat_conversion,[],[f1661]) ).
cnf(s290,plain,
( ~ spl0_13
| spl0_84
| spl0_126
| spl0_156 ),
inference(sat_conversion,[],[f1667]) ).
cnf(s293,plain,
( spl0_6
| ~ spl0_10
| ~ spl0_18 ),
inference(sat_conversion,[],[f1670]) ).
cnf(s296,plain,
( ~ spl0_10
| spl0_83
| spl0_126
| ~ spl0_156 ),
inference(sat_conversion,[],[f1673]) ).
cnf(s301,plain,
( ~ spl0_18
| spl0_73
| ~ spl0_74
| ~ spl0_155 ),
inference(sat_conversion,[],[f1678]) ).
cnf(s309,plain,
( ~ spl0_9
| spl0_84
| spl0_126
| ~ spl0_156 ),
inference(sat_conversion,[],[f1729]) ).
cnf(s316,plain,
( ~ spl0_8
| spl0_71
| spl0_117
| spl0_159 ),
inference(sat_conversion,[],[f1736]) ).
cnf(s347,plain,
( ~ spl0_12
| spl0_101
| ~ spl0_102
| ~ spl0_164 ),
inference(sat_conversion,[],[f1864]) ).
cnf(s364,plain,
( spl0_6
| ~ spl0_8
| ~ spl0_18 ),
inference(sat_conversion,[],[f1939]) ).
cnf(s365,plain,
( ~ spl0_2
| spl0_62
| ~ spl0_108
| ~ spl0_109 ),
inference(sat_conversion,[],[f1940]) ).
cnf(s366,plain,
( ~ spl0_2
| spl0_63
| ~ spl0_110
| ~ spl0_152 ),
inference(sat_conversion,[],[f1941]) ).
cnf(s371,plain,
( ~ spl0_6
| spl0_101
| ~ spl0_138
| spl0_164 ),
inference(sat_conversion,[],[f1946]) ).
cnf(s375,plain,
( ~ spl0_6
| spl0_83
| spl0_84
| ~ spl0_156 ),
inference(sat_conversion,[],[f1950]) ).
cnf(s377,plain,
( ~ spl0_9
| spl0_63
| spl0_111
| ~ spl0_152 ),
inference(sat_conversion,[],[f1952]) ).
cnf(s378,plain,
( ~ spl0_9
| ~ spl0_144
| spl0_145
| spl0_165 ),
inference(sat_conversion,[],[f1953]) ).
cnf(s402,plain,
( ~ spl0_17
| spl0_77
| ~ spl0_78
| spl0_168 ),
inference(sat_conversion,[],[f1977]) ).
cnf(s403,plain,
( ~ spl0_17
| spl0_85
| ~ spl0_86
| spl0_167 ),
inference(sat_conversion,[],[f1978]) ).
cnf(s408,plain,
( ~ spl0_20
| ~ spl0_37
| spl0_65
| ~ spl0_115 ),
inference(sat_conversion,[],[f1983]) ).
cnf(s415,plain,
( ~ spl0_33
| ~ spl0_110
| spl0_111
| spl0_152 ),
inference(sat_conversion,[],[f1988]) ).
cnf(s424,plain,
( ~ spl0_4
| ~ spl0_112
| ~ spl0_113
| ~ spl0_166 ),
inference(sat_conversion,[],[f1997]) ).
cnf(s427,plain,
( ~ spl0_33
| spl0_75
| ~ spl0_119
| spl0_120 ),
inference(sat_conversion,[],[f2000]) ).
cnf(s437,plain,
( ~ spl0_12
| ~ spl0_22
| spl0_37 ),
inference(sat_conversion,[],[f2009]) ).
cnf(s454,plain,
( ~ spl0_18
| ~ spl0_102
| ~ spl0_138
| spl0_164 ),
inference(sat_conversion,[],[f2025]) ).
cnf(s456,plain,
( ~ spl0_18
| spl0_85
| ~ spl0_86
| ~ spl0_127 ),
inference(sat_conversion,[],[f2027]) ).
cnf(s458,plain,
( ~ spl0_27
| spl0_85
| ~ spl0_86
| ~ spl0_167 ),
inference(sat_conversion,[],[f2029]) ).
cnf(s476,plain,
( ~ spl0_6
| spl0_91
| spl0_92
| ~ spl0_130 ),
inference(sat_conversion,[],[f2087]) ).
cnf(s483,plain,
( ~ spl0_1
| ~ spl0_100
| ~ spl0_137
| ~ spl0_163 ),
inference(sat_conversion,[],[f2094]) ).
cnf(s484,plain,
( ~ spl0_1
| ~ spl0_102
| ~ spl0_138
| ~ spl0_164 ),
inference(sat_conversion,[],[f2095]) ).
cnf(s485,plain,
( ~ spl0_1
| ~ spl0_70
| ~ spl0_116
| ~ spl0_154 ),
inference(sat_conversion,[],[f2096]) ).
cnf(s493,plain,
( ~ spl0_27
| ~ spl0_88
| ~ spl0_128
| spl0_162 ),
inference(sat_conversion,[],[f2295]) ).
cnf(s496,plain,
( ~ spl0_20
| spl0_87
| ~ spl0_128
| ~ spl0_162 ),
inference(sat_conversion,[],[f2298]) ).
cnf(s503,plain,
( ~ spl0_4
| ~ spl0_149
| ~ spl0_150
| ~ spl0_151 ),
inference(sat_conversion,[],[f2305]) ).
cnf(s509,plain,
( ~ spl0_5
| ~ spl0_146
| ~ spl0_147
| spl0_148 ),
inference(sat_conversion,[],[f2311]) ).
cnf(s510,plain,
( ~ spl0_5
| ~ spl0_144
| spl0_145
| ~ spl0_165 ),
inference(sat_conversion,[],[f2312]) ).
cnf(s526,plain,
( ~ spl0_35
| spl0_94
| spl0_95
| ~ spl0_133 ),
inference(sat_conversion,[],[f2326]) ).
cnf(s527,plain,
( ~ spl0_35
| spl0_73
| ~ spl0_118
| spl0_155 ),
inference(sat_conversion,[],[f2327]) ).
cnf(s529,plain,
( ~ spl0_27
| spl0_77
| ~ spl0_78
| ~ spl0_168 ),
inference(sat_conversion,[],[f2329]) ).
cnf(s530,plain,
( ~ spl0_27
| ~ spl0_100
| ~ spl0_136
| spl0_163 ),
inference(sat_conversion,[],[f2330]) ).
cnf(s535,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_134
| ~ spl0_135 ),
inference(sat_conversion,[],[f2368]) ).
cnf(s536,plain,
spl0_3,
inference(rat,[],[s146,s151,s171,s175]) ).
cnf(s537,plain,
( ~ spl0_21
| ~ spl0_10 ),
inference(rat,[],[s279,s73,s116,s117]) ).
cnf(s540,plain,
( spl0_58
| ~ spl0_13
| ~ spl0_10 ),
inference(rat,[],[s296,s290,s76,s77,s119]) ).
cnf(s541,plain,
( ~ spl0_10
| spl0_6
| spl0_1 ),
inference(rat,[],[s233,s74,s75,s118,s50,s540,s6,s223,s62,s63,s109,s25,s293,s536]) ).
cnf(s542,plain,
( spl0_30
| ~ spl0_9
| ~ spl0_5 ),
inference(rat,[],[s378,s510,s137,s138]) ).
cnf(s543,plain,
( spl0_58
| ~ spl0_13
| ~ spl0_9 ),
inference(rat,[],[s290,s309,s77,s119]) ).
cnf(s549,plain,
( spl0_52
| ~ spl0_7 ),
inference(rat,[],[s198,s86,s124,s125]) ).
cnf(s551,plain,
( spl0_43
| ~ spl0_4 ),
inference(rat,[],[s503,s142,s143,s144]) ).
cnf(s552,plain,
( ~ spl0_38
| spl0_33
| ~ spl0_12
| spl0_6 ),
inference(rat,[],[s347,s454,s94,s95,s131,s36,s25,s536]) ).
cnf(s553,plain,
( spl0_33
| ~ spl0_12
| spl0_6 ),
inference(rat,[],[s62,s223,s63,s109,s552]) ).
cnf(s554,plain,
( ~ spl0_9
| spl0_63
| ~ spl0_110
| spl0_111
| spl0_6
| ~ spl0_5
| spl0_2 ),
inference(rat,[],[s553,s415,s377,s17,s542,s536]) ).
cnf(s555,plain,
( spl0_34
| ~ spl0_13 ),
inference(rat,[],[s233,s74,s75,s118]) ).
cnf(s556,plain,
( spl0_6
| spl0_2
| spl0_1 ),
inference(rat,[],[s77,s249,s76,s119,s50,s555,s6,s223,s62,s63,s109,s25,s364,s4,s554,s56,s103,s104,s33,s541,s2,s551,s1,s536]) ).
cnf(s557,plain,
( spl0_42
| ~ spl0_12
| ~ spl0_6 ),
inference(rat,[],[s347,s371,s94,s95,s131]) ).
cnf(s558,plain,
( ~ spl0_39
| ~ spl0_33
| ~ spl0_9 ),
inference(rat,[],[s377,s415,s56,s103,s104]) ).
cnf(s560,plain,
( spl0_51
| ~ spl0_6 ),
inference(rat,[],[s476,s84,s85,s123]) ).
cnf(s561,plain,
( spl0_36
| ~ spl0_12
| ~ spl0_4 ),
inference(rat,[],[s424,s197,s57,s105,s106]) ).
cnf(s562,plain,
( spl0_52
| ~ spl0_33
| ~ spl0_37 ),
inference(rat,[],[s272,s277,s86,s124,s125]) ).
cnf(s569,plain,
( spl0_56
| ~ spl0_37 ),
inference(rat,[],[s271,s82,s83,s122]) ).
cnf(s570,plain,
( ~ spl0_54
| ~ spl0_5 ),
inference(rat,[],[s509,s139,s140,s141]) ).
cnf(s571,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s375,s290,s76,s77,s119,s50,s555,s6,s561,s24,s569,s48,s570,s526,s274,s87,s88,s126,s66,s67,s111,s39,s40,s560,s556,s1,s2,s536]) ).
cnf(s573,plain,
( ~ spl0_19
| ~ spl0_33 ),
inference(rat,[],[s427,s68,s112,s113]) ).
cnf(s574,plain,
( ~ spl0_4
| spl0_19
| ~ spl0_38
| spl0_54
| spl0_18
| ~ spl0_12 ),
inference(rat,[],[s526,s87,s88,s126,s47,s209,s48,s64,s65,s110,s569,s51,s45,s561,s551,s536]) ).
cnf(s575,plain,
( spl0_22
| spl0_4 ),
inference(rat,[],[s537,s21,s10,s536]) ).
cnf(s576,plain,
( ~ spl0_38
| spl0_54
| spl0_18
| spl0_39
| ~ spl0_42
| ~ spl0_12 ),
inference(rat,[],[s408,s58,s108,s13,s274,s66,s67,s111,s150,s562,s437,s575,s9,s574,s573,s36,s536]) ).
cnf(s577,plain,
( spl0_38
| ~ spl0_12 ),
inference(rat,[],[s223,s62,s63,s109]) ).
cnf(s578,plain,
( spl0_39
| ~ spl0_42
| ~ spl0_12
| ~ spl0_51 ),
inference(rat,[],[s274,s66,s67,s111,s150,s549,s8,s403,s458,s14,s570,s576,s456,s78,s79,s120,s148,s573,s36,s577,s536]) ).
cnf(s581,plain,
( ~ spl0_12
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s366,s415,s56,s103,s104,s36,s578,s577,s557,s560,s536]) ).
cnf(s582,plain,
( ~ spl0_6
| spl0_1 ),
inference(rat,[],[s375,s290,s76,s77,s119,s50,s555,s6,s581,s571,s536]) ).
cnf(s583,plain,
( ~ spl0_12
| spl0_1 ),
inference(rat,[],[s48,s570,s527,s14,s301,s274,s66,s67,s111,s150,s558,s4,s364,s562,s569,s25,s573,s437,s577,s553,s21,s541,s582,s536]) ).
cnf(s584,plain,
( spl0_6
| spl0_1 ),
inference(rat,[],[s4,s249,s543,s76,s77,s119,s50,s555,s6,s583,s541,s536]) ).
cnf(s585,plain,
spl0_1,
inference(rat,[],[s584,s582]) ).
cnf(s586,plain,
( spl0_37
| ~ spl0_12 ),
inference(rat,[],[s575,s551,s437,s45,s577,s536]) ).
cnf(s587,plain,
( ~ spl0_6
| ~ spl0_12 ),
inference(rat,[],[s570,s48,s14,s526,s274,s573,s87,s88,s126,s66,s67,s111,s36,s39,s40,s557,s581,s560,s577,s569,s586,s536]) ).
cnf(s588,plain,
~ spl0_12,
inference(rat,[],[s48,s570,s527,s14,s301,s274,s66,s67,s111,s150,s558,s4,s364,s293,s562,s573,s25,s553,s587,s569,s586,s577,s536]) ).
cnf(s590,plain,
spl0_36,
inference(rat,[],[s284,s57,s105,s106,s585]) ).
cnf(s591,plain,
( ~ spl0_46
| ~ spl0_5 ),
inference(rat,[],[s535,s127,s128,s585]) ).
cnf(s592,plain,
( spl0_42
| ~ spl0_6 ),
inference(rat,[],[s484,s371,s94,s95,s131,s585]) ).
cnf(s595,plain,
( ~ spl0_48
| ~ spl0_27 ),
inference(rat,[],[s483,s530,s93,s129,s130,s585]) ).
cnf(s596,plain,
( spl0_25
| ~ spl0_27 ),
inference(rat,[],[s274,s66,s67,s111]) ).
cnf(s598,plain,
( spl0_18
| ~ spl0_27 ),
inference(rat,[],[s225,s90,s91,s92,s38,s8,s537,s190,s21,s316,s209,s64,s65,s110,s51,s12,s596,s591,s37,s276,s526,s87,s126,s88,s147,s595,s536,s590]) ).
cnf(s599,plain,
( ~ spl0_59
| ~ spl0_2 ),
inference(rat,[],[s365,s55,s101,s102]) ).
cnf(s600,plain,
( ~ spl0_49
| ~ spl0_17 ),
inference(rat,[],[s225,s90,s91,s92]) ).
cnf(s603,plain,
( spl0_45
| ~ spl0_20
| ~ spl0_27 ),
inference(rat,[],[s496,s493,s80,s81,s121]) ).
cnf(s604,plain,
( ~ spl0_23
| ~ spl0_17
| ~ spl0_27 ),
inference(rat,[],[s529,s402,s70,s71]) ).
cnf(s605,plain,
( ~ spl0_27
| ~ spl0_51 ),
inference(rat,[],[s209,s64,s65,s110,s16,s603,s31,s604,s21,s537,s38,s600,s53,s599,s40,s596,s276,s526,s87,s88,s126,s147,s595,s536,s588,s590]) ).
cnf(s606,plain,
( ~ spl0_33
| spl0_27 ),
inference(rat,[],[s591,s149,s14,s562,s573,s24,s590,s536]) ).
cnf(s607,plain,
~ spl0_6,
inference(rat,[],[s485,s270,s62,s63,s109,s36,s606,s24,s605,s592,s560,s585,s536,s590]) ).
cnf(s608,plain,
( ~ spl0_38
| spl0_33 ),
inference(rat,[],[s454,s484,s95,s131,s25,s36,s607,s536,s585]) ).
cnf(s609,plain,
spl0_27,
inference(rat,[],[s485,s270,s62,s63,s109,s608,s606,s24,s585,s536,s590]) ).
cnf(s610,plain,
~ spl0_48,
inference(rat,[],[s595,s609]) ).
cnf(s611,plain,
spl0_25,
inference(rat,[],[s596,s609]) ).
cnf(s612,plain,
spl0_18,
inference(rat,[],[s598,s609]) ).
cnf(s614,plain,
spl0_50,
inference(rat,[],[s147,s590,s610]) ).
cnf(s616,plain,
~ spl0_8,
inference(rat,[],[s364,s607,s612]) ).
cnf(s620,plain,
spl0_133,
inference(rat,[],[s126,s614]) ).
cnf(s621,plain,
~ spl0_95,
inference(rat,[],[s88,s614]) ).
cnf(s622,plain,
~ spl0_94,
inference(rat,[],[s87,s614]) ).
cnf(s625,plain,
spl0_5,
inference(rat,[],[s12,s536,s611,s616]) ).
cnf(s627,plain,
~ spl0_35,
inference(rat,[],[s526,s621,s620,s622]) ).
cnf(s631,plain,
~ spl0_46,
inference(rat,[],[s591,s625]) ).
cnf(s632,plain,
~ spl0_33,
inference(rat,[],[s276,s609,s627]) ).
cnf(s638,plain,
$false,
inference(rat,[],[s37,s610,s536,s632,s631]) ).
fof(f2369,plain,
$false,
inference(avatar_sat_refutation,[],[s638]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN450-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n020.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 16:05:50 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.31 % (275080)Will run a generic schedule for satisfiability detection.
% 0.21/0.31 % (275090)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3831117827:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.31 % (275086)% WARNING: option uhcvi not known.
% 0.21/0.31 % (275085)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3697712524_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.31 % (275087)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2240922714:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.31 % (275086)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=192667176:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.31 % (275088)dis+10_1_sil=32000:sp=arity:random_seed=4282505628:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.31 % (275089)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1498069304:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.31 % (275091)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3660662706:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.31 % Detected minimum model sizes of [1]
% 0.21/0.31 % Detected maximum model sizes of [30]
% 0.21/0.31 % TRYING [1]
% 0.21/0.31 % TRYING [2]
% 0.21/0.31 % TRYING [3]
% 0.21/0.31 % TRYING [4]
% 0.21/0.31 % (275091) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-275080-275091"...
% 0.21/0.31 % (275090) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-275080-275090"...
% 0.21/0.31 % (275091)...printing done.
% 0.21/0.31 % (275091)Refutation found. Thanks to Tanya!
% 0.21/0.31 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.31 % (275091)------------------------------
% 0.21/0.31 % (275091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.31 % (275091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.31 % (275091)CaDiCaL version: 2.1.3
% 0.21/0.31 % (275091)Termination reason: Refutation
% 0.21/0.31 % (275091)Time elapsed: 0.030 s
% 0.21/0.31 % (275091)Peak memory usage: 13 MB
% 0.21/0.31 % (275091)Instructions burned: 47 (million)
% 0.21/0.31 % (275080)Success in time 0.081 s
% 0.21/0.31 % Vampire exiting
%------------------------------------------------------------------------------