TSTP Solution File: SET842-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET842-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 2 00:01:22 EDT 2023
% Result : Unsatisfiable 3.90s 0.99s
% Output : Refutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 327
% Syntax : Number of formulae : 562 ( 310 unt; 0 def)
% Number of atoms : 859 ( 73 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 448 ( 151 ~; 139 |; 0 &)
% ( 158 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 234 ( 232 usr; 159 prp; 0-3 aty)
% Number of functors : 35 ( 35 usr; 18 con; 0-4 aty)
% Number of variables : 157 (; 157 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7740,plain,
$false,
inference(avatar_smt_refutation,[],[f1368,f1373,f1378,f1383,f1388,f1393,f1398,f1403,f1408,f1413,f1418,f1423,f1428,f1433,f1438,f1443,f1448,f1453,f1458,f1463,f1468,f1473,f1478,f1483,f1488,f1493,f1498,f1503,f1508,f1513,f1518,f1523,f1528,f1533,f1538,f1543,f1548,f1553,f1558,f1563,f1568,f1573,f1578,f1583,f1588,f1593,f1598,f1603,f1608,f1613,f1618,f1623,f1628,f1633,f1638,f1643,f1648,f1653,f1658,f1663,f1668,f1673,f1678,f1683,f1688,f1693,f1698,f1703,f1708,f1713,f1718,f1723,f1728,f1733,f1738,f1743,f1748,f1753,f1758,f1763,f1768,f1773,f1778,f1783,f1788,f1793,f1798,f1803,f1808,f1813,f1818,f1823,f1828,f1833,f1838,f1843,f1848,f1853,f1858,f1863,f1868,f1873,f1878,f1883,f1888,f1893,f1898,f1903,f1908,f1913,f1918,f1923,f1928,f1933,f1938,f1943,f1944,f1949,f1950,f1955,f1960,f1965,f1970,f1975,f1980,f1985,f1990,f3071,f3076,f3081,f3086,f3091,f3096,f3101,f3158,f3181,f3182,f3183,f3232,f3239,f3474,f3490,f3498,f3521,f3773,f3807,f3815,f3857,f4145,f4150,f4190,f4399,f4414,f5398,f5399,f5400,f7288,f7739]) ).
fof(f7739,plain,
spl0_132,
inference(avatar_contradiction_clause,[],[f7738]) ).
fof(f7738,plain,
( $false
| spl0_132 ),
inference(subsumption_resolution,[],[f7737,f3100]) ).
fof(f3100,plain,
( ~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| spl0_132 ),
inference(avatar_component_clause,[],[f3098]) ).
fof(f3098,plain,
( spl0_132
<=> c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f7737,plain,
c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
inference(duplicate_literal_removal,[],[f7730]) ).
fof(f7730,plain,
( c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f7717,f308]) ).
fof(f308,axiom,
! [X2,X15,X13] :
( ~ c_in(c_Main_OsubsetI__1(X13,X15,X2),X15,X2)
| c_lessequals(X13,X15,tc_set(X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Set_OsubsetI_1) ).
fof(f7717,plain,
! [X3] :
( c_in(c_Main_OsubsetI__1(c_Union(v_Y,tc_set(t_a)),X3,tc_set(t_a)),v_m,tc_set(t_a))
| c_lessequals(c_Union(v_Y,tc_set(t_a)),X3,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f7713,f307]) ).
fof(f307,axiom,
! [X2,X15,X13] :
( c_in(c_Main_OsubsetI__1(X13,X15,X2),X13,X2)
| c_lessequals(X13,X15,tc_set(X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Set_OsubsetI_0) ).
fof(f7713,plain,
! [X0] :
( ~ c_in(X0,c_Union(v_Y,tc_set(t_a)),tc_set(t_a))
| c_in(X0,v_m,tc_set(t_a)) ),
inference(duplicate_literal_removal,[],[f7706]) ).
fof(f7706,plain,
! [X0] :
( ~ c_in(X0,c_Union(v_Y,tc_set(t_a)),tc_set(t_a))
| c_in(X0,v_m,tc_set(t_a))
| ~ c_in(X0,c_Union(v_Y,tc_set(t_a)),tc_set(t_a)) ),
inference(resolution,[],[f3909,f298]) ).
fof(f298,axiom,
! [X2,X36,X13] :
( c_in(X13,c_Main_OUnionE__1(X13,X36,X2),X2)
| ~ c_in(X13,c_Union(X36,X2),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Set_OUnionE_1) ).
fof(f3909,plain,
! [X52,X53] :
( ~ c_in(X53,c_Main_OUnionE__1(X52,v_Y,tc_set(t_a)),tc_set(t_a))
| ~ c_in(X52,c_Union(v_Y,tc_set(t_a)),tc_set(t_a))
| c_in(X53,v_m,tc_set(t_a)) ),
inference(resolution,[],[f297,f3481]) ).
fof(f3481,plain,
! [X18,X17] :
( ~ c_in(X18,v_Y,tc_set(tc_set(t_a)))
| ~ c_in(X17,X18,tc_set(t_a))
| c_in(X17,v_m,tc_set(t_a)) ),
inference(resolution,[],[f306,f1363]) ).
fof(f1363,axiom,
! [X41] :
( c_lessequals(X41,v_m,tc_set(tc_set(t_a)))
| ~ c_in(X41,v_Y,tc_set(tc_set(t_a))) ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_conjecture_4) ).
fof(f306,axiom,
! [X2,X34,X15,X13] :
( ~ c_lessequals(X13,X15,tc_set(X2))
| c_in(X34,X15,X2)
| ~ c_in(X34,X13,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Set_OsubsetD_0) ).
fof(f297,axiom,
! [X2,X36,X13] :
( c_in(c_Main_OUnionE__1(X13,X36,X2),X36,tc_set(X2))
| ~ c_in(X13,c_Union(X36,X2),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Set_OUnionE_0) ).
fof(f7288,plain,
( ~ spl0_158
| spl0_152
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f7058,f3178,f4143,f7285]) ).
fof(f7285,plain,
( spl0_158
<=> c_0 = c_Divides_Oop_Amod(c_uminus(c_uminus(c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f4143,plain,
( spl0_152
<=> ! [X25] : c_Divides_Oop_Advd(c_0,X25,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f3178,plain,
( spl0_134
<=> c_0 = c_uminus(c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f7058,plain,
( ! [X13] :
( c_Divides_Oop_Advd(c_0,X13,tc_IntDef_Oint)
| c_0 != c_Divides_Oop_Amod(c_uminus(c_uminus(c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),c_0,tc_IntDef_Oint) )
| ~ spl0_134 ),
inference(resolution,[],[f4076,f4004]) ).
fof(f4004,plain,
! [X3] : c_Divides_Oop_Advd(c_uminus(c_uminus(c_uminus(c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),X3,tc_IntDef_Oint),
inference(resolution,[],[f4000,f3438]) ).
fof(f3438,plain,
! [X4,X5] :
( ~ c_Divides_Oop_Advd(X4,c_uminus(c_uminus(X5,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_uminus(X4,tc_IntDef_Oint),X5,tc_IntDef_Oint) ),
inference(resolution,[],[f3208,f45]) ).
fof(f45,axiom,
! [X19,X20] :
( ~ c_Divides_Oop_Advd(X19,c_uminus(X20,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Divides_Oop_Advd(X19,X20,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_IntDiv_Odvd__zminus__iff__iff1_0) ).
fof(f3208,plain,
! [X2,X3] :
( c_Divides_Oop_Advd(c_uminus(X2,tc_IntDef_Oint),X3,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X2,c_uminus(X3,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(resolution,[],[f50,f45]) ).
fof(f50,axiom,
! [X19,X20] :
( c_Divides_Oop_Advd(c_uminus(X19,tc_IntDef_Oint),X20,tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X19,X20,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_IntDiv_Ozminus__dvd__iff__iff2_0) ).
fof(f4000,plain,
! [X3] : c_Divides_Oop_Advd(c_uminus(c_uminus(c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),X3,tc_IntDef_Oint),
inference(resolution,[],[f3996,f3438]) ).
fof(f3996,plain,
! [X3] : c_Divides_Oop_Advd(c_uminus(c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint),X3,tc_IntDef_Oint),
inference(resolution,[],[f3985,f3438]) ).
fof(f3985,plain,
! [X8] : c_Divides_Oop_Advd(c_uminus(c_1,tc_IntDef_Oint),X8,tc_IntDef_Oint),
inference(resolution,[],[f3438,f238]) ).
fof(f238,axiom,
! [X12] : c_Divides_Oop_Advd(c_1,X12,tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_IntDiv_Ozdvd__1__left_0) ).
fof(f4076,plain,
( ! [X32,X33] :
( ~ c_Divides_Oop_Advd(c_uminus(X32,tc_IntDef_Oint),X33,tc_IntDef_Oint)
| c_Divides_Oop_Advd(c_0,X33,tc_IntDef_Oint)
| c_0 != c_Divides_Oop_Amod(X32,c_0,tc_IntDef_Oint) )
| ~ spl0_134 ),
inference(superposition,[],[f50,f4048]) ).
fof(f4048,plain,
( ! [X2] :
( c_0 = c_uminus(c_uminus(X2,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 != c_Divides_Oop_Amod(X2,c_0,tc_IntDef_Oint) )
| ~ spl0_134 ),
inference(resolution,[],[f4045,f3169]) ).
fof(f3169,plain,
! [X0] :
( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint)
| c_0 = c_uminus(X0,tc_IntDef_Oint) ),
inference(resolution,[],[f46,f47]) ).
fof(f47,axiom,
! [X12] :
( ~ c_Divides_Oop_Advd(c_0,X12,tc_IntDef_Oint)
| c_0 = X12 ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_IntDiv_Ozdvd__0__left__iff1_0) ).
fof(f46,axiom,
! [X19,X20] :
( c_Divides_Oop_Advd(X19,c_uminus(X20,tc_IntDef_Oint),tc_IntDef_Oint)
| ~ c_Divides_Oop_Advd(X19,X20,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_IntDiv_Odvd__zminus__iff__iff2_0) ).
fof(f4045,plain,
( ! [X0] :
( c_Divides_Oop_Advd(c_0,c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
| c_0 != c_Divides_Oop_Amod(X0,c_0,tc_IntDef_Oint) )
| ~ spl0_134 ),
inference(superposition,[],[f3795,f3180]) ).
fof(f3180,plain,
( c_0 = c_uminus(c_0,tc_IntDef_Oint)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f3178]) ).
fof(f3795,plain,
! [X6,X5] :
( c_0 != c_Divides_Oop_Amod(X6,c_uminus(X5,tc_IntDef_Oint),tc_IntDef_Oint)
| c_Divides_Oop_Advd(X5,c_uminus(X6,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(superposition,[],[f3387,f241]) ).
fof(f241,axiom,
! [X39,X12] :
( c_times(X39,c_Main_Ozmod__eq__0D__dest__1(X39,X12),tc_IntDef_Oint) = X12
| c_0 != c_Divides_Oop_Amod(X12,X39,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_IntDiv_Ozmod__eq__0D__dest_0) ).
fof(f3387,plain,
! [X3,X4] : c_Divides_Oop_Advd(X3,c_uminus(c_times(c_uminus(X3,tc_IntDef_Oint),X4,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),
inference(resolution,[],[f3187,f239]) ).
fof(f239,axiom,
! [X9,X12] : c_Divides_Oop_Advd(X9,c_times(X9,X12,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_IntDiv_Ozdvd__triv__left_0) ).
fof(f3187,plain,
! [X6,X5] :
( ~ c_Divides_Oop_Advd(c_uminus(X5,tc_IntDef_Oint),X6,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X5,c_uminus(X6,tc_IntDef_Oint),tc_IntDef_Oint) ),
inference(resolution,[],[f49,f46]) ).
fof(f49,axiom,
! [X19,X20] :
( ~ c_Divides_Oop_Advd(c_uminus(X19,tc_IntDef_Oint),X20,tc_IntDef_Oint)
| c_Divides_Oop_Advd(X19,X20,tc_IntDef_Oint) ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_IntDiv_Ozminus__dvd__iff__iff1_0) ).
fof(f5400,plain,
spl0_157,
inference(avatar_split_clause,[],[f5393,f5395]) ).
fof(f5395,plain,
( spl0_157
<=> c_0 = c_GCD_Ogcd(c_Pair(c_0,c_0,tc_nat,tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f5393,plain,
c_0 = c_GCD_Ogcd(c_Pair(c_0,c_0,tc_nat,tc_nat)),
inference(forward_demodulation,[],[f5391,f3116]) ).
fof(f3116,plain,
! [X0] : c_0 = c_times(X0,c_0,tc_nat),
inference(resolution,[],[f224,f23]) ).
fof(f23,axiom,
! [X12] :
( ~ c_Divides_Oop_Advd(c_0,X12,tc_nat)
| c_0 = X12 ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Divides_Odvd__0__left__iff__iff1_0) ).
fof(f224,axiom,
! [X9,X12] : c_Divides_Oop_Advd(X9,c_times(X12,X9,tc_nat),tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Divides_Odvd__triv__right_0) ).
fof(f5391,plain,
! [X3] : c_0 = c_GCD_Ogcd(c_Pair(c_times(X3,c_0,tc_nat),c_0,tc_nat,tc_nat)),
inference(resolution,[],[f5382,f224]) ).
fof(f5382,plain,
! [X0] :
( ~ c_Divides_Oop_Advd(c_0,X0,tc_nat)
| c_0 = c_GCD_Ogcd(c_Pair(X0,c_0,tc_nat,tc_nat)) ),
inference(resolution,[],[f5379,f221]) ).
fof(f221,axiom,
! [X12] : c_Divides_Oop_Advd(X12,c_0,tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Divides_Odvd__0__right_0) ).
fof(f5379,plain,
! [X0,X1] :
( ~ c_Divides_Oop_Advd(c_0,X1,tc_nat)
| ~ c_Divides_Oop_Advd(c_0,X0,tc_nat)
| c_0 = c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)) ),
inference(resolution,[],[f42,f23]) ).
fof(f42,axiom,
! [X18,X9,X12] :
( c_Divides_Oop_Advd(X9,c_GCD_Ogcd(c_Pair(X12,X18,tc_nat,tc_nat)),tc_nat)
| ~ c_Divides_Oop_Advd(X9,X12,tc_nat)
| ~ c_Divides_Oop_Advd(X9,X18,tc_nat) ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_GCD_Ogcd__greatest__iff__iff2_0) ).
fof(f5399,plain,
spl0_157,
inference(avatar_split_clause,[],[f5392,f5395]) ).
fof(f5392,plain,
c_0 = c_GCD_Ogcd(c_Pair(c_0,c_0,tc_nat,tc_nat)),
inference(forward_demodulation,[],[f5390,f3114]) ).
fof(f3114,plain,
! [X0] : c_0 = c_times(c_0,X0,tc_nat),
inference(resolution,[],[f223,f23]) ).
fof(f223,axiom,
! [X9,X12] : c_Divides_Oop_Advd(X9,c_times(X9,X12,tc_nat),tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Divides_Odvd__triv__left_0) ).
fof(f5390,plain,
! [X2] : c_0 = c_GCD_Ogcd(c_Pair(c_times(c_0,X2,tc_nat),c_0,tc_nat,tc_nat)),
inference(resolution,[],[f5382,f223]) ).
fof(f5398,plain,
spl0_157,
inference(avatar_split_clause,[],[f5388,f5395]) ).
fof(f5388,plain,
c_0 = c_GCD_Ogcd(c_Pair(c_0,c_0,tc_nat,tc_nat)),
inference(resolution,[],[f5382,f221]) ).
fof(f4414,plain,
( spl0_156
| ~ spl0_80
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f4409,f1925,f1760,f4411]) ).
fof(f4411,plain,
( spl0_156
<=> c_UNIV = c_Union(c_Finite__Set_OFinites,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f1760,plain,
( spl0_80
<=> class_Orderings_Oord(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f1925,plain,
( spl0_113
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f4409,plain,
( c_UNIV = c_Union(c_Finite__Set_OFinites,tc_nat)
| ~ spl0_80
| ~ spl0_113 ),
inference(resolution,[],[f4403,f3513]) ).
fof(f3513,plain,
! [X10,X9] :
( ~ c_lessequals(c_UNIV,X9,tc_set(X10))
| c_UNIV = X9 ),
inference(resolution,[],[f309,f3377]) ).
fof(f3377,plain,
! [X18,X17] : c_lessequals(X17,c_UNIV,tc_set(X18)),
inference(resolution,[],[f308,f296]) ).
fof(f296,axiom,
! [X2,X0] : c_in(X0,c_UNIV,X2),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Set_OUNIV__I_0) ).
fof(f309,axiom,
! [X2,X15,X13] :
( ~ c_lessequals(X15,X13,tc_set(X2))
| ~ c_lessequals(X13,X15,tc_set(X2))
| X13 = X15 ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Set_Osubset__antisym_0) ).
fof(f4403,plain,
( ! [X4] : c_lessequals(X4,c_Union(c_Finite__Set_OFinites,tc_nat),tc_set(tc_nat))
| ~ spl0_80
| ~ spl0_113 ),
inference(resolution,[],[f4392,f308]) ).
fof(f4392,plain,
( ! [X0] : c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat)
| ~ spl0_80
| ~ spl0_113 ),
inference(subsumption_resolution,[],[f4387,f1927]) ).
fof(f1927,plain,
( class_Orderings_Olinorder(tc_nat)
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f1925]) ).
fof(f4387,plain,
( ! [X0] :
( c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat)
| ~ class_Orderings_Olinorder(tc_nat) )
| ~ spl0_80 ),
inference(resolution,[],[f4385,f4216]) ).
fof(f4216,plain,
! [X0,X1] :
( c_lessequals(X0,X0,X1)
| ~ class_Orderings_Olinorder(X1) ),
inference(resolution,[],[f145,f310]) ).
fof(f310,axiom,
! [X2,X13] : c_lessequals(X13,X13,tc_set(X2)),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Set_Osubset__refl_0) ).
fof(f145,axiom,
! [X2,X0,X23] :
( ~ c_lessequals(c_SetInterval_OgreaterThan(X0,X2),c_SetInterval_OgreaterThan(X23,X2),tc_set(X2))
| c_lessequals(X23,X0,X2)
| ~ class_Orderings_Olinorder(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_SetInterval_OgreaterThan__subset__iff__iff1_0) ).
fof(f4385,plain,
( ! [X0,X1] :
( ~ c_lessequals(X0,X1,tc_nat)
| c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) )
| ~ spl0_80 ),
inference(subsumption_resolution,[],[f4383,f1762]) ).
fof(f1762,plain,
( class_Orderings_Oord(tc_nat)
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f1760]) ).
fof(f4383,plain,
! [X0,X1] :
( c_in(X0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat)
| ~ c_lessequals(X0,X1,tc_nat)
| ~ class_Orderings_Oord(tc_nat) ),
inference(resolution,[],[f4287,f139]) ).
fof(f139,axiom,
! [X31,X2,X9] :
( c_in(X31,c_SetInterval_OatMost(X9,X2),X2)
| ~ c_lessequals(X31,X9,X2)
| ~ class_Orderings_Oord(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_SetInterval_OatMost__iff__iff2_0) ).
fof(f4287,plain,
! [X82,X81] :
( ~ c_in(X81,c_SetInterval_OatMost(X82,tc_nat),tc_nat)
| c_in(X81,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) ),
inference(resolution,[],[f173,f288]) ).
fof(f288,axiom,
! [X9] : c_in(c_SetInterval_OatMost(X9,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_SetInterval_Ofinite__atMost_0) ).
fof(f173,axiom,
! [X2,X36,X35,X13] :
( ~ c_in(X35,X36,tc_set(X2))
| ~ c_in(X13,X35,X2)
| c_in(X13,c_Union(X36,X2),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Set_OUnionI_0) ).
fof(f4399,plain,
( spl0_155
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f4386,f1760,f4396]) ).
fof(f4396,plain,
( spl0_155
<=> c_in(c_0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f4386,plain,
( c_in(c_0,c_Union(c_Finite__Set_OFinites,tc_nat),tc_nat)
| ~ spl0_80 ),
inference(resolution,[],[f4385,f262]) ).
fof(f262,axiom,
! [X18] : c_lessequals(c_0,X18,tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Nat_Ole0_0) ).
fof(f4190,plain,
( ~ spl0_154
| spl0_152
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f4069,f3178,f4143,f4187]) ).
fof(f4187,plain,
( spl0_154
<=> c_0 = c_Divides_Oop_Amod(c_uminus(c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f4069,plain,
( ! [X22] :
( c_Divides_Oop_Advd(c_0,X22,tc_IntDef_Oint)
| c_0 != c_Divides_Oop_Amod(c_uminus(c_uminus(c_1,tc_IntDef_Oint),tc_IntDef_Oint),c_0,tc_IntDef_Oint) )
| ~ spl0_134 ),
inference(superposition,[],[f4004,f4048]) ).
fof(f4150,plain,
( ~ spl0_153
| spl0_152
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f4068,f3178,f4143,f4147]) ).
fof(f4147,plain,
( spl0_153
<=> c_0 = c_Divides_Oop_Amod(c_uminus(c_1,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f4068,plain,
( ! [X21] :
( c_Divides_Oop_Advd(c_0,X21,tc_IntDef_Oint)
| c_0 != c_Divides_Oop_Amod(c_uminus(c_1,tc_IntDef_Oint),c_0,tc_IntDef_Oint) )
| ~ spl0_134 ),
inference(superposition,[],[f4000,f4048]) ).
fof(f4145,plain,
( ~ spl0_151
| spl0_152
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f4072,f3178,f4143,f4139]) ).
fof(f4139,plain,
( spl0_151
<=> c_0 = c_Divides_Oop_Amod(c_1,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f4072,plain,
( ! [X25] :
( c_Divides_Oop_Advd(c_0,X25,tc_IntDef_Oint)
| c_0 != c_Divides_Oop_Amod(c_1,c_0,tc_IntDef_Oint) )
| ~ spl0_134 ),
inference(superposition,[],[f3996,f4048]) ).
fof(f3857,plain,
( ~ spl0_149
| spl0_150
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f3765,f3088,f3855,f3851]) ).
fof(f3851,plain,
( spl0_149
<=> c_Infinite__Set_Oatmost__one(c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f3855,plain,
( spl0_150
<=> ! [X126] :
( v_m = X126
| ~ c_in(X126,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f3088,plain,
( spl0_130
<=> c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f3765,plain,
( ! [X126] :
( v_m = X126
| ~ c_in(X126,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_Infinite__Set_Oatmost__one(c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) )
| ~ spl0_130 ),
inference(resolution,[],[f234,f3090]) ).
fof(f3090,plain,
( c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f3088]) ).
fof(f234,axiom,
! [X40,X2,X0,X23] :
( ~ c_in(X23,X40,X2)
| X0 = X23
| ~ c_in(X0,X40,X2)
| ~ c_Infinite__Set_Oatmost__one(X40,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Infinite__Set_Oatmost__one__unique_0) ).
fof(f3815,plain,
( ~ spl0_147
| spl0_148 ),
inference(avatar_split_clause,[],[f3783,f3813,f3809]) ).
fof(f3809,plain,
( spl0_147
<=> c_Infinite__Set_Oatmost__one(c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f3813,plain,
( spl0_148
<=> ! [X18,X19] : c_emptyset = c_SetInterval_OatLeastAtMost(X18,X19,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f3783,plain,
! [X18,X19] :
( c_emptyset = c_SetInterval_OatLeastAtMost(X18,X19,tc_IntDef_Oint)
| ~ c_Infinite__Set_Oatmost__one(c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
inference(resolution,[],[f3744,f285]) ).
fof(f285,axiom,
! [X38,X42] : c_in(c_SetInterval_OatLeastAtMost(X42,X38,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_SetInterval_Ofinite__atLeastAtMost__int_0) ).
fof(f3744,plain,
! [X62,X61] :
( ~ c_in(X61,c_Finite__Set_OFinites,tc_set(X62))
| c_emptyset = X61
| ~ c_Infinite__Set_Oatmost__one(c_Finite__Set_OFinites,tc_set(X62)) ),
inference(resolution,[],[f234,f226]) ).
fof(f226,axiom,
! [X2] : c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X2)),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Finite__Set_OFinites_OemptyI_0) ).
fof(f3807,plain,
( ~ spl0_145
| spl0_146 ),
inference(avatar_split_clause,[],[f3778,f3805,f3801]) ).
fof(f3801,plain,
( spl0_145
<=> c_Infinite__Set_Oatmost__one(c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f3805,plain,
( spl0_146
<=> ! [X8] : c_emptyset = c_SetInterval_OatMost(X8,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f3778,plain,
! [X8] :
( c_emptyset = c_SetInterval_OatMost(X8,tc_nat)
| ~ c_Infinite__Set_Oatmost__one(c_Finite__Set_OFinites,tc_set(tc_nat)) ),
inference(resolution,[],[f3744,f288]) ).
fof(f3773,plain,
( spl0_143
| spl0_144 ),
inference(avatar_split_clause,[],[f3766,f3771,f3768]) ).
fof(f3768,plain,
( spl0_143
<=> ! [X28] : ~ c_Infinite__Set_Oatmost__one(c_UNIV,X28) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f3771,plain,
( spl0_144
<=> ! [X27,X26] : X26 = X27 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f3766,plain,
! [X28,X26,X27] :
( X26 = X27
| ~ c_Infinite__Set_Oatmost__one(c_UNIV,X28) ),
inference(subsumption_resolution,[],[f3734,f296]) ).
fof(f3734,plain,
! [X28,X26,X27] :
( X26 = X27
| ~ c_in(X26,c_UNIV,X28)
| ~ c_Infinite__Set_Oatmost__one(c_UNIV,X28) ),
inference(resolution,[],[f234,f296]) ).
fof(f3521,plain,
( ~ spl0_142
| ~ spl0_131
| spl0_140 ),
inference(avatar_split_clause,[],[f3516,f3487,f3093,f3518]) ).
fof(f3518,plain,
( spl0_142
<=> c_lessequals(c_Zorn_OTFin(v_S,t_a),v_Y,tc_set(tc_set(tc_set(t_a)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f3093,plain,
( spl0_131
<=> c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f3487,plain,
( spl0_140
<=> c_Zorn_OTFin(v_S,t_a) = v_Y ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f3516,plain,
( ~ c_lessequals(c_Zorn_OTFin(v_S,t_a),v_Y,tc_set(tc_set(tc_set(t_a))))
| ~ spl0_131
| spl0_140 ),
inference(subsumption_resolution,[],[f3514,f3488]) ).
fof(f3488,plain,
( c_Zorn_OTFin(v_S,t_a) != v_Y
| spl0_140 ),
inference(avatar_component_clause,[],[f3487]) ).
fof(f3514,plain,
( ~ c_lessequals(c_Zorn_OTFin(v_S,t_a),v_Y,tc_set(tc_set(tc_set(t_a))))
| c_Zorn_OTFin(v_S,t_a) = v_Y
| ~ spl0_131 ),
inference(resolution,[],[f309,f3095]) ).
fof(f3095,plain,
( c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f3093]) ).
fof(f3498,plain,
( spl0_141
| ~ spl0_130
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f3493,f3487,f3088,f3495]) ).
fof(f3495,plain,
( spl0_141
<=> c_in(v_m,v_Y,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f3493,plain,
( c_in(v_m,v_Y,tc_set(tc_set(t_a)))
| ~ spl0_130
| ~ spl0_140 ),
inference(superposition,[],[f3090,f3489]) ).
fof(f3489,plain,
( c_Zorn_OTFin(v_S,t_a) = v_Y
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f3487]) ).
fof(f3490,plain,
( spl0_139
| spl0_140
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f3455,f3093,f3487,f3483]) ).
fof(f3483,plain,
( spl0_139
<=> c_less(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f3455,plain,
( c_Zorn_OTFin(v_S,t_a) = v_Y
| c_less(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a))))
| ~ spl0_131 ),
inference(resolution,[],[f302,f3095]) ).
fof(f302,axiom,
! [X2,X15,X13] :
( ~ c_lessequals(X13,X15,tc_set(X2))
| X13 = X15
| c_less(X13,X15,tc_set(X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Set_OpsubsetI_0) ).
fof(f3474,plain,
( ~ spl0_137
| spl0_138 ),
inference(avatar_split_clause,[],[f3465,f3471,f3467]) ).
fof(f3467,plain,
( spl0_137
<=> c_in(c_UNIV,v_Y,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f3471,plain,
( spl0_138
<=> c_UNIV = v_m ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f3465,plain,
( c_UNIV = v_m
| ~ c_in(c_UNIV,v_Y,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f3454,f3227]) ).
fof(f3227,plain,
! [X6] :
( ~ c_less(v_m,X6,tc_set(tc_set(t_a)))
| ~ c_in(X6,v_Y,tc_set(tc_set(t_a))) ),
inference(resolution,[],[f300,f1363]) ).
fof(f300,axiom,
! [X2,X15,X13] :
( ~ c_lessequals(X15,X13,tc_set(X2))
| ~ c_less(X13,X15,tc_set(X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Set_OpsubsetE_0) ).
fof(f3454,plain,
! [X10,X9] :
( c_less(X9,c_UNIV,tc_set(X10))
| c_UNIV = X9 ),
inference(resolution,[],[f302,f3377]) ).
fof(f3239,plain,
( ~ spl0_136
| spl0_132 ),
inference(avatar_split_clause,[],[f3233,f3098,f3236]) ).
fof(f3236,plain,
( spl0_136
<=> c_less(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f3233,plain,
( ~ c_less(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))
| spl0_132 ),
inference(resolution,[],[f301,f3100]) ).
fof(f301,axiom,
! [X2,X15,X13] :
( c_lessequals(X13,X15,tc_set(X2))
| ~ c_less(X13,X15,tc_set(X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Set_OpsubsetE_1) ).
fof(f3232,plain,
( ~ spl0_135
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f3226,f3093,f3229]) ).
fof(f3229,plain,
( spl0_135
<=> c_less(c_Zorn_OTFin(v_S,t_a),v_Y,tc_set(tc_set(tc_set(t_a)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f3226,plain,
( ~ c_less(c_Zorn_OTFin(v_S,t_a),v_Y,tc_set(tc_set(tc_set(t_a))))
| ~ spl0_131 ),
inference(resolution,[],[f300,f3095]) ).
fof(f3183,plain,
spl0_134,
inference(avatar_split_clause,[],[f3176,f3178]) ).
fof(f3176,plain,
c_0 = c_uminus(c_0,tc_IntDef_Oint),
inference(forward_demodulation,[],[f3173,f3122]) ).
fof(f3122,plain,
! [X0] : c_0 = c_times(X0,c_0,tc_IntDef_Oint),
inference(resolution,[],[f240,f47]) ).
fof(f240,axiom,
! [X9,X12] : c_Divides_Oop_Advd(X9,c_times(X12,X9,tc_IntDef_Oint),tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_IntDiv_Ozdvd__triv__right_0) ).
fof(f3173,plain,
! [X1] : c_0 = c_uminus(c_times(X1,c_0,tc_IntDef_Oint),tc_IntDef_Oint),
inference(resolution,[],[f3169,f240]) ).
fof(f3182,plain,
spl0_134,
inference(avatar_split_clause,[],[f3175,f3178]) ).
fof(f3175,plain,
c_0 = c_uminus(c_0,tc_IntDef_Oint),
inference(forward_demodulation,[],[f3172,f3120]) ).
fof(f3120,plain,
! [X0] : c_0 = c_times(c_0,X0,tc_IntDef_Oint),
inference(resolution,[],[f239,f47]) ).
fof(f3172,plain,
! [X0] : c_0 = c_uminus(c_times(c_0,X0,tc_IntDef_Oint),tc_IntDef_Oint),
inference(resolution,[],[f3169,f239]) ).
fof(f3181,plain,
spl0_134,
inference(avatar_split_clause,[],[f3171,f3178]) ).
fof(f3171,plain,
c_0 = c_uminus(c_0,tc_IntDef_Oint),
inference(resolution,[],[f3169,f237]) ).
fof(f237,axiom,
! [X12] : c_Divides_Oop_Advd(X12,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_IntDiv_Ozdvd__0__right_0) ).
fof(f3158,plain,
( ~ spl0_133
| spl0_132 ),
inference(avatar_split_clause,[],[f3153,f3098,f3155]) ).
fof(f3155,plain,
( spl0_133
<=> c_in(c_Union(v_Y,tc_set(t_a)),v_Y,tc_set(tc_set(t_a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f3153,plain,
( ~ c_in(c_Union(v_Y,tc_set(t_a)),v_Y,tc_set(tc_set(t_a)))
| spl0_132 ),
inference(resolution,[],[f1363,f3100]) ).
fof(f3101,plain,
~ spl0_132,
inference(avatar_split_clause,[],[f1362,f3098]) ).
fof(f1362,axiom,
~ c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_conjecture_3) ).
fof(f3096,plain,
spl0_131,
inference(avatar_split_clause,[],[f1361,f3093]) ).
fof(f1361,axiom,
c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_conjecture_2) ).
fof(f3091,plain,
spl0_130,
inference(avatar_split_clause,[],[f1359,f3088]) ).
fof(f1359,axiom,
c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_conjecture_0) ).
fof(f3086,plain,
spl0_129,
inference(avatar_split_clause,[],[f109,f3083]) ).
fof(f3083,plain,
( spl0_129
<=> c_0 = c_plus(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f109,axiom,
c_0 = c_plus(c_0,c_0,tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Nat_Oadd__is__0__iff2_0) ).
fof(f3081,plain,
spl0_128,
inference(avatar_split_clause,[],[f113,f3078]) ).
fof(f3078,plain,
( spl0_128
<=> c_less(c_0,c_Suc(c_0),tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f113,axiom,
c_less(c_0,c_Suc(c_0),tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Nat_Oless__Suc0__iff2_0) ).
fof(f3076,plain,
~ spl0_127,
inference(avatar_split_clause,[],[f43,f3073]) ).
fof(f3073,plain,
( spl0_127
<=> c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f43,axiom,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Infinite__Set_Onat__not__finite_0) ).
fof(f3071,plain,
spl0_126,
inference(avatar_split_clause,[],[f1360,f3068]) ).
fof(f3068,plain,
( spl0_126
<=> v_m = c_Zorn_Osucc(v_S,v_m,t_a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f1360,axiom,
v_m = c_Zorn_Osucc(v_S,v_m,t_a),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_conjecture_1) ).
fof(f1990,plain,
~ spl0_125,
inference(avatar_split_clause,[],[f117,f1987]) ).
fof(f1987,plain,
( spl0_125
<=> c_less(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f117,axiom,
~ c_less(c_0,c_0,tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Nat_Oneq0__conv__iff2_0) ).
fof(f1985,plain,
spl0_124,
inference(avatar_split_clause,[],[f115,f1982]) ).
fof(f1982,plain,
( spl0_124
<=> c_less(c_0,c_1,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f115,axiom,
c_less(c_0,c_1,tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Nat_Oless__one__iff2_0) ).
fof(f1980,plain,
spl0_123,
inference(avatar_split_clause,[],[f111,f1977]) ).
fof(f1977,plain,
( spl0_123
<=> c_lessequals(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f111,axiom,
c_lessequals(c_0,c_0,tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Nat_Ole__0__eq__iff2_0) ).
fof(f1975,plain,
spl0_122,
inference(avatar_split_clause,[],[f48,f1972]) ).
fof(f1972,plain,
( spl0_122
<=> c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f48,axiom,
c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_IntDiv_Ozdvd__0__left__iff2_0) ).
fof(f1970,plain,
spl0_121,
inference(avatar_split_clause,[],[f24,f1967]) ).
fof(f1967,plain,
( spl0_121
<=> c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f24,axiom,
c_Divides_Oop_Advd(c_0,c_0,tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Divides_Odvd__0__left__iff__iff2_0) ).
fof(f1965,plain,
spl0_120,
inference(avatar_split_clause,[],[f324,f1962]) ).
fof(f1962,plain,
( spl0_120
<=> c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f324,axiom,
c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Wellfounded__Relations_Owf__less__than_0) ).
fof(f1960,plain,
spl0_119,
inference(avatar_split_clause,[],[f322,f1957]) ).
fof(f1957,plain,
( spl0_119
<=> c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f322,axiom,
c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Wellfounded__Relations_Otrans__less__than_0) ).
fof(f1955,plain,
~ spl0_118,
inference(avatar_split_clause,[],[f166,f1952]) ).
fof(f1952,plain,
( spl0_118
<=> c_emptyset = c_UNIV ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f166,axiom,
c_emptyset != c_UNIV,
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Set_OUNIV__not__empty__iff1_0) ).
fof(f1950,plain,
~ spl0_117,
inference(avatar_split_clause,[],[f122,f1946]) ).
fof(f1946,plain,
( spl0_117
<=> c_Numeral_Obit_OB0 = c_Numeral_Obit_OB1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f122,axiom,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Numeral_Obit_Odistinct__2__iff1_0) ).
fof(f1949,plain,
~ spl0_117,
inference(avatar_split_clause,[],[f121,f1946]) ).
fof(f121,axiom,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Numeral_Obit_Odistinct__1__iff1_0) ).
fof(f1944,plain,
~ spl0_116,
inference(avatar_split_clause,[],[f30,f1940]) ).
fof(f1940,plain,
( spl0_116
<=> c_Extraction_Osumbool_OLeft = c_Extraction_Osumbool_ORight ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f30,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Extraction_Osumbool_Odistinct__2__iff1_0) ).
fof(f1943,plain,
~ spl0_116,
inference(avatar_split_clause,[],[f29,f1940]) ).
fof(f29,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',cls_Extraction_Osumbool_Odistinct__1__iff1_0) ).
fof(f1938,plain,
spl0_115,
inference(avatar_split_clause,[],[f443,f1935]) ).
fof(f1935,plain,
( spl0_115
<=> class_HOL_Ominus(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f443,axiom,
class_HOL_Ominus(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_9) ).
fof(f1933,plain,
spl0_114,
inference(avatar_split_clause,[],[f442,f1930]) ).
fof(f1930,plain,
( spl0_114
<=> class_Wellfounded__Recursion_Owellorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f442,axiom,
class_Wellfounded__Recursion_Owellorder(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_8) ).
fof(f1928,plain,
spl0_113,
inference(avatar_split_clause,[],[f441,f1925]) ).
fof(f441,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_7) ).
fof(f1923,plain,
spl0_112,
inference(avatar_split_clause,[],[f440,f1920]) ).
fof(f1920,plain,
( spl0_112
<=> class_LOrder_Olorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f440,axiom,
class_LOrder_Olorder(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_6) ).
fof(f1918,plain,
spl0_111,
inference(avatar_split_clause,[],[f439,f1915]) ).
fof(f1915,plain,
( spl0_111
<=> class_LOrder_Ojoin__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f439,axiom,
class_LOrder_Ojoin__semilorder(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_5) ).
fof(f1913,plain,
spl0_110,
inference(avatar_split_clause,[],[f438,f1910]) ).
fof(f1910,plain,
( spl0_110
<=> class_Parity_Oeven__odd(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f438,axiom,
class_Parity_Oeven__odd(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_47) ).
fof(f1908,plain,
spl0_109,
inference(avatar_split_clause,[],[f437,f1905]) ).
fof(f1905,plain,
( spl0_109
<=> class_Numeral_Onumber(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f437,axiom,
class_Numeral_Onumber(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_46) ).
fof(f1903,plain,
spl0_108,
inference(avatar_split_clause,[],[f436,f1900]) ).
fof(f1900,plain,
( spl0_108
<=> class_Power_Orecpower(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f436,axiom,
class_Power_Orecpower(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_45) ).
fof(f1898,plain,
spl0_107,
inference(avatar_split_clause,[],[f435,f1895]) ).
fof(f1895,plain,
( spl0_107
<=> class_Divides_Odiv(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f435,axiom,
class_Divides_Odiv(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_44) ).
fof(f1893,plain,
spl0_106,
inference(avatar_split_clause,[],[f434,f1890]) ).
fof(f1890,plain,
( spl0_106
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f434,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_43) ).
fof(f1888,plain,
spl0_105,
inference(avatar_split_clause,[],[f433,f1885]) ).
fof(f1885,plain,
( spl0_105
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f433,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_42) ).
fof(f1883,plain,
spl0_104,
inference(avatar_split_clause,[],[f432,f1880]) ).
fof(f1880,plain,
( spl0_104
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f432,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_41) ).
fof(f1878,plain,
spl0_103,
inference(avatar_split_clause,[],[f431,f1875]) ).
fof(f1875,plain,
( spl0_103
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f431,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_40) ).
fof(f1873,plain,
spl0_102,
inference(avatar_split_clause,[],[f430,f1870]) ).
fof(f1870,plain,
( spl0_102
<=> class_LOrder_Omeet__semilorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f430,axiom,
class_LOrder_Omeet__semilorder(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_4) ).
fof(f1868,plain,
spl0_101,
inference(avatar_split_clause,[],[f429,f1865]) ).
fof(f1865,plain,
( spl0_101
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f429,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_39) ).
fof(f1863,plain,
spl0_100,
inference(avatar_split_clause,[],[f428,f1860]) ).
fof(f1860,plain,
( spl0_100
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f428,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_38) ).
fof(f1858,plain,
spl0_99,
inference(avatar_split_clause,[],[f427,f1855]) ).
fof(f1855,plain,
( spl0_99
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f427,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_37) ).
fof(f1853,plain,
spl0_98,
inference(avatar_split_clause,[],[f426,f1850]) ).
fof(f1850,plain,
( spl0_98
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f426,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_36) ).
fof(f1848,plain,
spl0_97,
inference(avatar_split_clause,[],[f425,f1845]) ).
fof(f1845,plain,
( spl0_97
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f425,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_35) ).
fof(f1843,plain,
spl0_96,
inference(avatar_split_clause,[],[f424,f1840]) ).
fof(f1840,plain,
( spl0_96
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f424,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_34) ).
fof(f1838,plain,
spl0_95,
inference(avatar_split_clause,[],[f423,f1835]) ).
fof(f1835,plain,
( spl0_95
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f423,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_33) ).
fof(f1833,plain,
spl0_94,
inference(avatar_split_clause,[],[f422,f1830]) ).
fof(f1830,plain,
( spl0_94
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f422,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_32) ).
fof(f1828,plain,
spl0_93,
inference(avatar_split_clause,[],[f421,f1825]) ).
fof(f1825,plain,
( spl0_93
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f421,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_31) ).
fof(f1823,plain,
spl0_92,
inference(avatar_split_clause,[],[f420,f1820]) ).
fof(f1820,plain,
( spl0_92
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f420,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_30) ).
fof(f1818,plain,
spl0_91,
inference(avatar_split_clause,[],[f419,f1815]) ).
fof(f1815,plain,
( spl0_91
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f419,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_3) ).
fof(f1813,plain,
spl0_90,
inference(avatar_split_clause,[],[f418,f1810]) ).
fof(f1810,plain,
( spl0_90
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f418,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_29) ).
fof(f1808,plain,
spl0_89,
inference(avatar_split_clause,[],[f417,f1805]) ).
fof(f1805,plain,
( spl0_89
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f417,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_28) ).
fof(f1803,plain,
spl0_88,
inference(avatar_split_clause,[],[f416,f1800]) ).
fof(f1800,plain,
( spl0_88
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f416,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_27) ).
fof(f1798,plain,
spl0_87,
inference(avatar_split_clause,[],[f415,f1795]) ).
fof(f1795,plain,
( spl0_87
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f415,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_26) ).
fof(f1793,plain,
spl0_86,
inference(avatar_split_clause,[],[f414,f1790]) ).
fof(f1790,plain,
( spl0_86
<=> class_Ring__and__Field_Osemiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f414,axiom,
class_Ring__and__Field_Osemiring__1(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_25) ).
fof(f1788,plain,
spl0_85,
inference(avatar_split_clause,[],[f413,f1785]) ).
fof(f1785,plain,
( spl0_85
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f413,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_24) ).
fof(f1783,plain,
spl0_84,
inference(avatar_split_clause,[],[f412,f1780]) ).
fof(f1780,plain,
( spl0_84
<=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f412,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_23) ).
fof(f1778,plain,
spl0_83,
inference(avatar_split_clause,[],[f411,f1775]) ).
fof(f1775,plain,
( spl0_83
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f411,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_22) ).
fof(f1773,plain,
spl0_82,
inference(avatar_split_clause,[],[f410,f1770]) ).
fof(f1770,plain,
( spl0_82
<=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f410,axiom,
class_Ring__and__Field_Osemiring__0(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_21) ).
fof(f1768,plain,
spl0_81,
inference(avatar_split_clause,[],[f409,f1765]) ).
fof(f1765,plain,
( spl0_81
<=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f409,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_20) ).
fof(f1763,plain,
spl0_80,
inference(avatar_split_clause,[],[f408,f1760]) ).
fof(f408,axiom,
class_Orderings_Oord(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_2) ).
fof(f1758,plain,
spl0_79,
inference(avatar_split_clause,[],[f407,f1755]) ).
fof(f1755,plain,
( spl0_79
<=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f407,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_19) ).
fof(f1753,plain,
spl0_78,
inference(avatar_split_clause,[],[f406,f1750]) ).
fof(f1750,plain,
( spl0_78
<=> class_Ring__and__Field_Osemiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f406,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_18) ).
fof(f1748,plain,
spl0_77,
inference(avatar_split_clause,[],[f405,f1745]) ).
fof(f1745,plain,
( spl0_77
<=> class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f405,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_17) ).
fof(f1743,plain,
spl0_76,
inference(avatar_split_clause,[],[f404,f1740]) ).
fof(f1740,plain,
( spl0_76
<=> class_OrderedGroup_Osemigroup__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f404,axiom,
class_OrderedGroup_Osemigroup__mult(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_16) ).
fof(f1738,plain,
spl0_75,
inference(avatar_split_clause,[],[f403,f1735]) ).
fof(f1735,plain,
( spl0_75
<=> class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f403,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_15) ).
fof(f1733,plain,
spl0_74,
inference(avatar_split_clause,[],[f402,f1730]) ).
fof(f1730,plain,
( spl0_74
<=> class_OrderedGroup_Osemigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f402,axiom,
class_OrderedGroup_Osemigroup__add(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_14) ).
fof(f1728,plain,
spl0_73,
inference(avatar_split_clause,[],[f401,f1725]) ).
fof(f1725,plain,
( spl0_73
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f401,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_13) ).
fof(f1723,plain,
spl0_72,
inference(avatar_split_clause,[],[f400,f1720]) ).
fof(f1720,plain,
( spl0_72
<=> class_Nat_Opower(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f400,axiom,
class_Nat_Opower(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_12) ).
fof(f1718,plain,
spl0_71,
inference(avatar_split_clause,[],[f399,f1715]) ).
fof(f1715,plain,
( spl0_71
<=> class_HOL_Otimes(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f399,axiom,
class_HOL_Otimes(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_11) ).
fof(f1713,plain,
spl0_70,
inference(avatar_split_clause,[],[f398,f1710]) ).
fof(f1710,plain,
( spl0_70
<=> class_HOL_Oplus(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f398,axiom,
class_HOL_Oplus(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_10) ).
fof(f1708,plain,
spl0_69,
inference(avatar_split_clause,[],[f397,f1705]) ).
fof(f1705,plain,
( spl0_69
<=> class_HOL_Ozero(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f397,axiom,
class_HOL_Ozero(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_1) ).
fof(f1703,plain,
spl0_68,
inference(avatar_split_clause,[],[f396,f1700]) ).
fof(f1700,plain,
( spl0_68
<=> class_HOL_Oone(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f396,axiom,
class_HOL_Oone(tc_nat),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_nat_0) ).
fof(f1698,plain,
spl0_67,
inference(avatar_split_clause,[],[f393,f1695]) ).
fof(f1695,plain,
( spl0_67
<=> class_Finite__Set_Ofinite(tc_bool) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f393,axiom,
class_Finite__Set_Ofinite(tc_bool),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_bool_0) ).
fof(f1693,plain,
spl0_66,
inference(avatar_split_clause,[],[f392,f1690]) ).
fof(f1690,plain,
( spl0_66
<=> class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f392,axiom,
class_Finite__Set_Ofinite(tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_Product____Type__Ounit_0) ).
fof(f1688,plain,
spl0_65,
inference(avatar_split_clause,[],[f391,f1685]) ).
fof(f1685,plain,
( spl0_65
<=> class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f391,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_9) ).
fof(f1683,plain,
spl0_64,
inference(avatar_split_clause,[],[f390,f1680]) ).
fof(f1680,plain,
( spl0_64
<=> class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f390,axiom,
class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_8) ).
fof(f1678,plain,
spl0_63,
inference(avatar_split_clause,[],[f389,f1675]) ).
fof(f1675,plain,
( spl0_63
<=> class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f389,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_7) ).
fof(f1673,plain,
spl0_62,
inference(avatar_split_clause,[],[f388,f1670]) ).
fof(f1670,plain,
( spl0_62
<=> class_Parity_Oeven__odd(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f388,axiom,
class_Parity_Oeven__odd(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_64) ).
fof(f1668,plain,
spl0_61,
inference(avatar_split_clause,[],[f387,f1665]) ).
fof(f1665,plain,
( spl0_61
<=> class_Power_Orecpower(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f387,axiom,
class_Power_Orecpower(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_63) ).
fof(f1663,plain,
spl0_60,
inference(avatar_split_clause,[],[f386,f1660]) ).
fof(f1660,plain,
( spl0_60
<=> class_Nat_Opower(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f386,axiom,
class_Nat_Opower(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_62) ).
fof(f1658,plain,
spl0_59,
inference(avatar_split_clause,[],[f385,f1655]) ).
fof(f1655,plain,
( spl0_59
<=> class_Divides_Odiv(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f385,axiom,
class_Divides_Odiv(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_61) ).
fof(f1653,plain,
spl0_58,
inference(avatar_split_clause,[],[f384,f1650]) ).
fof(f1650,plain,
( spl0_58
<=> class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f384,axiom,
class_Numeral_Onumber__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_60) ).
fof(f1648,plain,
spl0_57,
inference(avatar_split_clause,[],[f383,f1645]) ).
fof(f1645,plain,
( spl0_57
<=> class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f383,axiom,
class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_6) ).
fof(f1643,plain,
spl0_56,
inference(avatar_split_clause,[],[f382,f1640]) ).
fof(f1640,plain,
( spl0_56
<=> class_Numeral_Onumber(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f382,axiom,
class_Numeral_Onumber(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_59) ).
fof(f1638,plain,
spl0_55,
inference(avatar_split_clause,[],[f381,f1635]) ).
fof(f1635,plain,
( spl0_55
<=> class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f381,axiom,
class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_58) ).
fof(f1633,plain,
spl0_54,
inference(avatar_split_clause,[],[f380,f1630]) ).
fof(f1630,plain,
( spl0_54
<=> class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f380,axiom,
class_Ring__and__Field_Oidom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_57) ).
fof(f1628,plain,
spl0_53,
inference(avatar_split_clause,[],[f379,f1625]) ).
fof(f1625,plain,
( spl0_53
<=> class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f379,axiom,
class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_56) ).
fof(f1623,plain,
spl0_52,
inference(avatar_split_clause,[],[f378,f1620]) ).
fof(f1620,plain,
( spl0_52
<=> class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f378,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_55) ).
fof(f1618,plain,
spl0_51,
inference(avatar_split_clause,[],[f377,f1615]) ).
fof(f1615,plain,
( spl0_51
<=> class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f377,axiom,
class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_54) ).
fof(f1613,plain,
spl0_50,
inference(avatar_split_clause,[],[f376,f1610]) ).
fof(f1610,plain,
( spl0_50
<=> class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f376,axiom,
class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_53) ).
fof(f1608,plain,
spl0_49,
inference(avatar_split_clause,[],[f375,f1605]) ).
fof(f1605,plain,
( spl0_49
<=> class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f375,axiom,
class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_52) ).
fof(f1603,plain,
spl0_48,
inference(avatar_split_clause,[],[f374,f1600]) ).
fof(f1600,plain,
( spl0_48
<=> class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f374,axiom,
class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_51) ).
fof(f1598,plain,
spl0_47,
inference(avatar_split_clause,[],[f373,f1595]) ).
fof(f1595,plain,
( spl0_47
<=> class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f373,axiom,
class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_50) ).
fof(f1593,plain,
spl0_46,
inference(avatar_split_clause,[],[f372,f1590]) ).
fof(f1590,plain,
( spl0_46
<=> class_Orderings_Oord(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f372,axiom,
class_Orderings_Oord(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_5) ).
fof(f1588,plain,
spl0_45,
inference(avatar_split_clause,[],[f371,f1585]) ).
fof(f1585,plain,
( spl0_45
<=> class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f371,axiom,
class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_49) ).
fof(f1583,plain,
spl0_44,
inference(avatar_split_clause,[],[f370,f1580]) ).
fof(f1580,plain,
( spl0_44
<=> class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f370,axiom,
class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_48) ).
fof(f1578,plain,
spl0_43,
inference(avatar_split_clause,[],[f369,f1575]) ).
fof(f1575,plain,
( spl0_43
<=> class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f369,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_47) ).
fof(f1573,plain,
spl0_42,
inference(avatar_split_clause,[],[f368,f1570]) ).
fof(f1570,plain,
( spl0_42
<=> class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f368,axiom,
class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_46) ).
fof(f1568,plain,
spl0_41,
inference(avatar_split_clause,[],[f367,f1565]) ).
fof(f1565,plain,
( spl0_41
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f367,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_45) ).
fof(f1563,plain,
spl0_40,
inference(avatar_split_clause,[],[f366,f1560]) ).
fof(f1560,plain,
( spl0_40
<=> class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f366,axiom,
class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_44) ).
fof(f1558,plain,
spl0_39,
inference(avatar_split_clause,[],[f365,f1555]) ).
fof(f1555,plain,
( spl0_39
<=> class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f365,axiom,
class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_43) ).
fof(f1553,plain,
spl0_38,
inference(avatar_split_clause,[],[f364,f1550]) ).
fof(f1550,plain,
( spl0_38
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f364,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_42) ).
fof(f1548,plain,
spl0_37,
inference(avatar_split_clause,[],[f363,f1545]) ).
fof(f1545,plain,
( spl0_37
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f363,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_41) ).
fof(f1543,plain,
spl0_36,
inference(avatar_split_clause,[],[f362,f1540]) ).
fof(f1540,plain,
( spl0_36
<=> class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f362,axiom,
class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_40) ).
fof(f1538,plain,
spl0_35,
inference(avatar_split_clause,[],[f361,f1535]) ).
fof(f1535,plain,
( spl0_35
<=> class_HOL_Ozero(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f361,axiom,
class_HOL_Ozero(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_4) ).
fof(f1533,plain,
spl0_34,
inference(avatar_split_clause,[],[f360,f1530]) ).
fof(f1530,plain,
( spl0_34
<=> class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f360,axiom,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_39) ).
fof(f1528,plain,
spl0_33,
inference(avatar_split_clause,[],[f359,f1525]) ).
fof(f1525,plain,
( spl0_33
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f359,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_38) ).
fof(f1523,plain,
spl0_32,
inference(avatar_split_clause,[],[f358,f1520]) ).
fof(f1520,plain,
( spl0_32
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f358,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_37) ).
fof(f1518,plain,
spl0_31,
inference(avatar_split_clause,[],[f357,f1515]) ).
fof(f1515,plain,
( spl0_31
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f357,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_36) ).
fof(f1513,plain,
spl0_30,
inference(avatar_split_clause,[],[f356,f1510]) ).
fof(f1510,plain,
( spl0_30
<=> class_Orderings_Olinorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f356,axiom,
class_Orderings_Olinorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_35) ).
fof(f1508,plain,
spl0_29,
inference(avatar_split_clause,[],[f355,f1505]) ).
fof(f1505,plain,
( spl0_29
<=> class_LOrder_Olorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f355,axiom,
class_LOrder_Olorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_34) ).
fof(f1503,plain,
spl0_28,
inference(avatar_split_clause,[],[f354,f1500]) ).
fof(f1500,plain,
( spl0_28
<=> class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f354,axiom,
class_LOrder_Ojoin__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_33) ).
fof(f1498,plain,
spl0_27,
inference(avatar_split_clause,[],[f353,f1495]) ).
fof(f1495,plain,
( spl0_27
<=> class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f353,axiom,
class_LOrder_Omeet__semilorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_32) ).
fof(f1493,plain,
spl0_26,
inference(avatar_split_clause,[],[f352,f1490]) ).
fof(f1490,plain,
( spl0_26
<=> class_Orderings_Oorder(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f352,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_31) ).
fof(f1488,plain,
spl0_25,
inference(avatar_split_clause,[],[f351,f1485]) ).
fof(f1485,plain,
( spl0_25
<=> class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f351,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_30) ).
fof(f1483,plain,
spl0_24,
inference(avatar_split_clause,[],[f350,f1480]) ).
fof(f1480,plain,
( spl0_24
<=> class_HOL_Otimes(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f350,axiom,
class_HOL_Otimes(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_3) ).
fof(f1478,plain,
spl0_23,
inference(avatar_split_clause,[],[f349,f1475]) ).
fof(f1475,plain,
( spl0_23
<=> class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f349,axiom,
class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_29) ).
fof(f1473,plain,
spl0_22,
inference(avatar_split_clause,[],[f348,f1470]) ).
fof(f1470,plain,
( spl0_22
<=> class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f348,axiom,
class_Ring__and__Field_Oring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_28) ).
fof(f1468,plain,
spl0_21,
inference(avatar_split_clause,[],[f347,f1465]) ).
fof(f1465,plain,
( spl0_21
<=> class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f347,axiom,
class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_27) ).
fof(f1463,plain,
spl0_20,
inference(avatar_split_clause,[],[f346,f1460]) ).
fof(f1460,plain,
( spl0_20
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f346,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_26) ).
fof(f1458,plain,
spl0_19,
inference(avatar_split_clause,[],[f345,f1455]) ).
fof(f1455,plain,
( spl0_19
<=> class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f345,axiom,
class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_25) ).
fof(f1453,plain,
spl0_18,
inference(avatar_split_clause,[],[f344,f1450]) ).
fof(f1450,plain,
( spl0_18
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f344,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_24) ).
fof(f1448,plain,
spl0_17,
inference(avatar_split_clause,[],[f343,f1445]) ).
fof(f1445,plain,
( spl0_17
<=> class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f343,axiom,
class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_23) ).
fof(f1443,plain,
spl0_16,
inference(avatar_split_clause,[],[f342,f1440]) ).
fof(f1440,plain,
( spl0_16
<=> class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f342,axiom,
class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_22) ).
fof(f1438,plain,
spl0_15,
inference(avatar_split_clause,[],[f341,f1435]) ).
fof(f1435,plain,
( spl0_15
<=> class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f341,axiom,
class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_21) ).
fof(f1433,plain,
spl0_14,
inference(avatar_split_clause,[],[f340,f1430]) ).
fof(f1430,plain,
( spl0_14
<=> class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f340,axiom,
class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_20) ).
fof(f1428,plain,
spl0_13,
inference(avatar_split_clause,[],[f339,f1425]) ).
fof(f1425,plain,
( spl0_13
<=> class_HOL_Oplus(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f339,axiom,
class_HOL_Oplus(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_2) ).
fof(f1423,plain,
spl0_12,
inference(avatar_split_clause,[],[f338,f1420]) ).
fof(f1420,plain,
( spl0_12
<=> class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f338,axiom,
class_Ring__and__Field_Oring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_19) ).
fof(f1418,plain,
spl0_11,
inference(avatar_split_clause,[],[f337,f1415]) ).
fof(f1415,plain,
( spl0_11
<=> class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f337,axiom,
class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_18) ).
fof(f1413,plain,
spl0_10,
inference(avatar_split_clause,[],[f336,f1410]) ).
fof(f1410,plain,
( spl0_10
<=> class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f336,axiom,
class_OrderedGroup_Oab__group__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_17) ).
fof(f1408,plain,
spl0_9,
inference(avatar_split_clause,[],[f335,f1405]) ).
fof(f1405,plain,
( spl0_9
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f335,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_16) ).
fof(f1403,plain,
spl0_8,
inference(avatar_split_clause,[],[f334,f1400]) ).
fof(f1400,plain,
( spl0_8
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f334,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_15) ).
fof(f1398,plain,
spl0_7,
inference(avatar_split_clause,[],[f333,f1395]) ).
fof(f1395,plain,
( spl0_7
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f333,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_14) ).
fof(f1393,plain,
spl0_6,
inference(avatar_split_clause,[],[f332,f1390]) ).
fof(f1390,plain,
( spl0_6
<=> class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f332,axiom,
class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_13) ).
fof(f1388,plain,
spl0_5,
inference(avatar_split_clause,[],[f331,f1385]) ).
fof(f1385,plain,
( spl0_5
<=> class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f331,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_12) ).
fof(f1383,plain,
spl0_4,
inference(avatar_split_clause,[],[f330,f1380]) ).
fof(f1380,plain,
( spl0_4
<=> class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f330,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_11) ).
fof(f1378,plain,
spl0_3,
inference(avatar_split_clause,[],[f329,f1375]) ).
fof(f1375,plain,
( spl0_3
<=> class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f329,axiom,
class_Ring__and__Field_Osemiring(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_10) ).
fof(f1373,plain,
spl0_2,
inference(avatar_split_clause,[],[f328,f1370]) ).
fof(f1370,plain,
( spl0_2
<=> class_HOL_Oone(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f328,axiom,
class_HOL_Oone(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_1) ).
fof(f1368,plain,
spl0_1,
inference(avatar_split_clause,[],[f327,f1365]) ).
fof(f1365,plain,
( spl0_1
<=> class_HOL_Ominus(tc_IntDef_Oint) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f327,axiom,
class_HOL_Ominus(tc_IntDef_Oint),
file('/export/starexec/sandbox2/tmp/tmp.2Eoo5eS9cO/Vampire---4.8_9914',clsarity_IntDef__Oint_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET842-1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 30 15:41:38 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.21/0.42 % (10091)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.46 % (10096)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.21/0.46 % (10092)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.46 % (10095)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.46 % (10094)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.21/0.46 % (10093)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.46 % (10097)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.21/0.46 % (10098)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.21/0.52 TRYING [1]
% 0.21/0.53 TRYING [2]
% 1.50/0.67 TRYING [3]
% 1.80/0.73 TRYING [1]
% 2.38/0.79 TRYING [2]
% 3.90/0.99 % (10094)First to succeed.
% 3.90/0.99 % (10094)Refutation found. Thanks to Tanya!
% 3.90/0.99 % SZS status Unsatisfiable for Vampire---4
% 3.90/0.99 % SZS output start Proof for Vampire---4
% See solution above
% 3.90/1.00 % (10094)------------------------------
% 3.90/1.00 % (10094)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 3.90/1.00 % (10094)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 3.90/1.00 % (10094)Termination reason: Refutation
% 3.90/1.00
% 3.90/1.00 % (10094)Memory used [KB]: 13816
% 3.90/1.00 % (10094)Time elapsed: 0.536 s
% 3.90/1.00 % (10094)------------------------------
% 3.90/1.00 % (10094)------------------------------
% 3.90/1.00 % (10091)Success in time 0.625 s
% 3.90/1.00 % Vampire---4.8 exiting
%------------------------------------------------------------------------------