TSTP Solution File: KRS268+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS268+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 : 600s
% DateTime : Sun Jul 17 03:31:01 EDT 2022
% Result : Theorem 3.03s 3.20s
% Output : Refutation 3.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 49
% Syntax : Number of clauses : 285 ( 153 unt; 85 nHn; 285 RR)
% Number of literals : 447 ( 0 equ; 89 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 51 ( 51 usr; 35 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
model(u,skc57),
file('KRS268+1.p',unknown),
[] ).
cnf(2,axiom,
model(skc59,skc58),
file('KRS268+1.p',unknown),
[] ).
cnf(3,axiom,
model(skc64,skc62),
file('KRS268+1.p',unknown),
[] ).
cnf(4,axiom,
model(skc64,skc63),
file('KRS268+1.p',unknown),
[] ).
cnf(5,axiom,
model(skc69,skc68),
file('KRS268+1.p',unknown),
[] ).
cnf(6,axiom,
model(skc70,skc67),
file('KRS268+1.p',unknown),
[] ).
cnf(7,axiom,
model(skc73,skc74),
file('KRS268+1.p',unknown),
[] ).
cnf(8,axiom,
model(skc75,skc72),
file('KRS268+1.p',unknown),
[] ).
cnf(9,axiom,
~ mighta(wca,thm),
file('KRS268+1.p',unknown),
[] ).
cnf(11,axiom,
~ model(u,skc61),
file('KRS268+1.p',unknown),
[] ).
cnf(13,axiom,
~ model(skc71,skc67),
file('KRS268+1.p',unknown),
[] ).
cnf(14,axiom,
~ model(skc73,skc72),
file('KRS268+1.p',unknown),
[] ).
cnf(16,axiom,
( skP0(u,v)
| model(v,not__dfg(u)) ),
file('KRS268+1.p',unknown),
[] ).
cnf(18,axiom,
( model(u,v)
| model(u,not__dfg(v)) ),
file('KRS268+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ model(u,skc68)
| model(u,skc67) ),
file('KRS268+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ model(u,v)
| status__dfg(v,w,unp) ),
file('KRS268+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ model(u,v)
| status__dfg(w,v,sap) ),
file('KRS268+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ status__dfg(u,v,tac)
| model(w,v) ),
file('KRS268+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ status__dfg(u,v,tau)
| model(w,u) ),
file('KRS268+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ status__dfg(u,v,tau)
| model(w,v) ),
file('KRS268+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ status__dfg(u,v,wtc)
| model(w,v) ),
file('KRS268+1.p',unknown),
[] ).
cnf(28,axiom,
( model(skf81(u),u)
| status__dfg(u,v,cax) ),
file('KRS268+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ status__dfg(u,v,tca)
| model(w,v) ),
file('KRS268+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ status__dfg(u,v,uns)
| model(w,u) ),
file('KRS268+1.p',unknown),
[] ).
cnf(32,axiom,
( model(skf61(u,v),v)
| status__dfg(v,u,thm) ),
file('KRS268+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ status__dfg(u,v,eqv)
| model(skf63(u),u) ),
file('KRS268+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ model(u,v)
| ~ status__dfg(v,w,cax) ),
file('KRS268+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ status__dfg(u,v,sca)
| model(skf83(v),v) ),
file('KRS268+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ model(u,v)
| ~ status__dfg(v,w,wca) ),
file('KRS268+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ skP0(u,v)
| ~ model(v,not__dfg(u)) ),
file('KRS268+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ model(u,v)
| ~ model(u,not__dfg(v)) ),
file('KRS268+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ model(skf61(u,v),u)
| status__dfg(w,u,thm) ),
file('KRS268+1.p',unknown),
[] ).
cnf(67,axiom,
( nevera(u,v)
| status__dfg(skf101(v,w),skf100(v,w),v) ),
file('KRS268+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ model(u,v)
| ~ model(w,x)
| status__dfg(x,v,esa) ),
file('KRS268+1.p',unknown),
[] ).
cnf(70,axiom,
( ~ model(u,v)
| ~ model(u,w)
| status__dfg(w,v,sat) ),
file('KRS268+1.p',unknown),
[] ).
cnf(71,axiom,
( ~ model(u,v)
| ~ status__dfg(v,w,thm)
| model(u,w) ),
file('KRS268+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ model(u,v)
| ~ status__dfg(w,v,eqv)
| model(u,w) ),
file('KRS268+1.p',unknown),
[] ).
cnf(76,axiom,
( ~ model(u,v)
| ~ status__dfg(w,v,eth)
| model(u,w) ),
file('KRS268+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ model(u,v)
| model(skf82(w),w)
| status__dfg(w,v,sca) ),
file('KRS268+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ status__dfg(u,v,w)
| nota(w,x)
| status__dfg(u,v,x) ),
file('KRS268+1.p',unknown),
[] ).
cnf(83,axiom,
( ~ nota(u,v)
| status__dfg(skf99(v,u),skf98(v,u),u) ),
file('KRS268+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ model(u,v)
| ~ status__dfg(w,v,unp)
| model(skf53(w),w) ),
file('KRS268+1.p',unknown),
[] ).
cnf(86,axiom,
( ~ model(u,v)
| ~ status__dfg(v,w,sap)
| model(skf55(w),w) ),
file('KRS268+1.p',unknown),
[] ).
cnf(87,axiom,
( ~ model(u,v)
| ~ status__dfg(v,w,esa)
| model(skf58(w),w) ),
file('KRS268+1.p',unknown),
[] ).
cnf(88,axiom,
( ~ model(u,v)
| ~ status__dfg(w,v,esa)
| model(skf59(w),w) ),
file('KRS268+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ model(u,v)
| ~ model(skf64(w),w)
| status__dfg(v,w,tac) ),
file('KRS268+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ status__dfg(u,v,w)
| ~ status__dfg(u,v,x)
| mighta(x,w) ),
file('KRS268+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ nevera(u,v)
| ~ status__dfg(w,x,v)
| ~ status__dfg(w,x,u) ),
file('KRS268+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ model(u,v)
| model(w,v)
| model(skf86(x),x)
| status__dfg(x,v,wca) ),
file('KRS268+1.p',unknown),
[] ).
cnf(112,plain,
( ~ status__dfg(u,v,thm)
| ~ status__dfg(u,v,wca) ),
inference(res,[status(thm),theory(equality)],[92,9]),
[iquote('0:Res:92.2,9.0')] ).
cnf(113,plain,
~ model(skc71,skc68),
inference(res,[status(thm),theory(equality)],[19,13]),
[iquote('0:Res:19.1,13.0')] ).
cnf(115,plain,
status__dfg(u,skc72,sap),
inference(res,[status(thm),theory(equality)],[8,23]),
[iquote('0:Res:8.0,23.0')] ).
cnf(122,plain,
status__dfg(u,skc57,sap),
inference(res,[status(thm),theory(equality)],[1,23]),
[iquote('0:Res:1.0,23.0')] ).
cnf(129,plain,
status__dfg(skc72,u,unp),
inference(res,[status(thm),theory(equality)],[8,20]),
[iquote('0:Res:8.0,20.0')] ).
cnf(136,plain,
status__dfg(skc57,u,unp),
inference(res,[status(thm),theory(equality)],[1,20]),
[iquote('0:Res:1.0,20.0')] ).
cnf(138,plain,
( model(u,v)
| status__dfg(not__dfg(v),w,unp) ),
inference(res,[status(thm),theory(equality)],[18,20]),
[iquote('0:Res:18.1,20.0')] ).
cnf(157,plain,
( ~ skP0(u,skf81(not__dfg(u)))
| status__dfg(not__dfg(u),v,cax) ),
inference(res,[status(thm),theory(equality)],[28,46]),
[iquote('0:Res:28.0,46.1')] ).
cnf(169,plain,
( ~ model(u,v)
| model(skf81(v),v) ),
inference(res,[status(thm),theory(equality)],[28,39]),
[iquote('0:Res:28.1,39.1')] ).
cnf(182,plain,
( skP0(u,v)
| model(skf81(not__dfg(u)),not__dfg(u)) ),
inference(res,[status(thm),theory(equality)],[16,169]),
[iquote('0:Res:16.1,169.0')] ).
cnf(190,plain,
( status__dfg(u,v,thm)
| model(skf81(u),u) ),
inference(res,[status(thm),theory(equality)],[32,169]),
[iquote('0:Res:32.0,169.0')] ).
cnf(287,plain,
( ~ model(skf81(not__dfg(u)),u)
| skP0(u,v) ),
inference(res,[status(thm),theory(equality)],[182,47]),
[iquote('0:Res:182.1,47.1')] ).
cnf(310,plain,
skP0(skc57,u),
inference(res,[status(thm),theory(equality)],[1,287]),
[iquote('0:Res:1.0,287.0')] ).
cnf(335,plain,
( ~ model(skf61(skc67,u),skc68)
| status__dfg(v,skc67,thm) ),
inference(res,[status(thm),theory(equality)],[19,50]),
[iquote('0:Res:19.1,50.0')] ).
cnf(344,plain,
( status__dfg(not__dfg(skc68),u,unp)
| status__dfg(v,skc67,thm) ),
inference(res,[status(thm),theory(equality)],[138,335]),
[iquote('0:Res:138.0,335.0')] ).
cnf(346,plain,
( status__dfg(skc68,skc67,thm)
| status__dfg(u,skc67,thm) ),
inference(res,[status(thm),theory(equality)],[32,335]),
[iquote('0:Res:32.0,335.0')] ).
cnf(347,plain,
status__dfg(skc68,skc67,thm),
inference(con,[status(thm)],[346]),
[iquote('0:Con:346.1')] ).
cnf(348,plain,
status__dfg(u,skc67,thm),
inference(spt,[spt(split,[position(s1)])],[344]),
[iquote('1:Spt:344.1')] ).
cnf(501,plain,
( ~ status__dfg(skf101(wca,u),skf100(wca,u),thm)
| nevera(v,wca) ),
inference(res,[status(thm),theory(equality)],[67,112]),
[iquote('0:Res:67.1,112.1')] ).
cnf(503,plain,
( nevera(u,sca)
| model(skf83(skf100(sca,v)),skf100(sca,v)) ),
inference(res,[status(thm),theory(equality)],[67,41]),
[iquote('0:Res:67.1,41.0')] ).
cnf(523,plain,
( ~ model(u,skf101(wca,v))
| nevera(w,wca) ),
inference(res,[status(thm),theory(equality)],[67,43]),
[iquote('0:Res:67.1,43.1')] ).
cnf(647,plain,
( model(skf82(u),u)
| status__dfg(u,skc72,sca) ),
inference(res,[status(thm),theory(equality)],[8,78]),
[iquote('0:Res:8.0,78.0')] ).
cnf(649,plain,
( model(skf82(u),u)
| status__dfg(u,skc74,sca) ),
inference(res,[status(thm),theory(equality)],[7,78]),
[iquote('0:Res:7.0,78.0')] ).
cnf(650,plain,
( model(skf82(u),u)
| status__dfg(u,skc67,sca) ),
inference(res,[status(thm),theory(equality)],[6,78]),
[iquote('0:Res:6.0,78.0')] ).
cnf(652,plain,
( model(skf82(u),u)
| status__dfg(u,skc68,sca) ),
inference(res,[status(thm),theory(equality)],[5,78]),
[iquote('0:Res:5.0,78.0')] ).
cnf(654,plain,
( model(skf82(u),u)
| status__dfg(u,skc63,sca) ),
inference(res,[status(thm),theory(equality)],[4,78]),
[iquote('0:Res:4.0,78.0')] ).
cnf(655,plain,
( model(skf82(u),u)
| status__dfg(u,skc62,sca) ),
inference(res,[status(thm),theory(equality)],[3,78]),
[iquote('0:Res:3.0,78.0')] ).
cnf(656,plain,
( model(skf82(u),u)
| status__dfg(u,skc58,sca) ),
inference(res,[status(thm),theory(equality)],[2,78]),
[iquote('0:Res:2.0,78.0')] ).
cnf(657,plain,
( model(skf82(u),u)
| status__dfg(u,skc57,sca) ),
inference(res,[status(thm),theory(equality)],[1,78]),
[iquote('0:Res:1.0,78.0')] ).
cnf(760,plain,
( ~ model(u,v)
| status__dfg(v,skc57,sat) ),
inference(res,[status(thm),theory(equality)],[1,70]),
[iquote('0:Res:1.0,70.0')] ).
cnf(975,plain,
( model(skf82(u),u)
| model(skf83(skc72),skc72) ),
inference(res,[status(thm),theory(equality)],[647,41]),
[iquote('0:Res:647.1,41.0')] ).
cnf(994,plain,
( model(skf82(u),u)
| model(skf83(skc74),skc74) ),
inference(res,[status(thm),theory(equality)],[649,41]),
[iquote('0:Res:649.1,41.0')] ).
cnf(1016,plain,
( model(skf82(u),u)
| model(skf83(skc67),skc67) ),
inference(res,[status(thm),theory(equality)],[650,41]),
[iquote('0:Res:650.1,41.0')] ).
cnf(1035,plain,
( model(skf82(u),u)
| model(skf83(skc68),skc68) ),
inference(res,[status(thm),theory(equality)],[652,41]),
[iquote('0:Res:652.1,41.0')] ).
cnf(1045,plain,
( ~ model(u,v)
| model(u,skc67) ),
inference(res,[status(thm),theory(equality)],[348,71]),
[iquote('1:Res:348.0,71.1')] ).
cnf(1065,plain,
( model(u,v)
| model(u,skc67) ),
inference(res,[status(thm),theory(equality)],[18,1045]),
[iquote('1:Res:18.1,1045.0')] ).
cnf(1111,plain,
model(u,skc67),
inference(con,[status(thm)],[1065]),
[iquote('1:Con:1065.0')] ).
cnf(1112,plain,
$false,
inference(unc,[status(thm)],[1111,13]),
[iquote('1:UnC:1111.0,13.0')] ).
cnf(1113,plain,
status__dfg(not__dfg(skc68),u,unp),
inference(spt,[spt(split,[position(s2)])],[344]),
[iquote('1:Spt:1112.0,344.0')] ).
cnf(1131,plain,
model(skf82(u),u),
inference(spt,[spt(split,[position(s2s1)])],[1035]),
[iquote('2:Spt:1035.0')] ).
cnf(1132,plain,
$false,
inference(unc,[status(thm)],[1131,11]),
[iquote('2:UnC:1131.0,11.0')] ).
cnf(1133,plain,
model(skf83(skc68),skc68),
inference(spt,[spt(split,[position(s2s2)])],[1035]),
[iquote('2:Spt:1132.0,1035.1')] ).
cnf(1140,plain,
( ~ model(u,v)
| status__dfg(v,skc72,esa) ),
inference(res,[status(thm),theory(equality)],[8,69]),
[iquote('0:Res:8.0,69.0')] ).
cnf(1200,plain,
model(skf82(u),u),
inference(spt,[spt(split,[position(s2s2s1)])],[1016]),
[iquote('3:Spt:1016.0')] ).
cnf(1201,plain,
$false,
inference(unc,[status(thm)],[1200,11]),
[iquote('3:UnC:1200.0,11.0')] ).
cnf(1202,plain,
model(skf83(skc67),skc67),
inference(spt,[spt(split,[position(s2s2s2)])],[1016]),
[iquote('3:Spt:1201.0,1016.1')] ).
cnf(1210,plain,
model(skf82(u),u),
inference(spt,[spt(split,[position(s2s2s2s1)])],[994]),
[iquote('4:Spt:994.0')] ).
cnf(1211,plain,
$false,
inference(unc,[status(thm)],[1210,11]),
[iquote('4:UnC:1210.0,11.0')] ).
cnf(1212,plain,
model(skf83(skc74),skc74),
inference(spt,[spt(split,[position(s2s2s2s2)])],[994]),
[iquote('4:Spt:1211.0,994.1')] ).
cnf(1220,plain,
model(skf82(u),u),
inference(spt,[spt(split,[position(s2s2s2s2s1)])],[975]),
[iquote('5:Spt:975.0')] ).
cnf(1221,plain,
$false,
inference(unc,[status(thm)],[1220,11]),
[iquote('5:UnC:1220.0,11.0')] ).
cnf(1222,plain,
model(skf83(skc72),skc72),
inference(spt,[spt(split,[position(s2s2s2s2s2)])],[975]),
[iquote('5:Spt:1221.0,975.1')] ).
cnf(1239,plain,
( model(skf82(u),u)
| model(skf83(skc63),skc63) ),
inference(res,[status(thm),theory(equality)],[654,41]),
[iquote('0:Res:654.1,41.0')] ).
cnf(1250,plain,
( ~ nota(wca,u)
| ~ status__dfg(skf99(u,wca),skf98(u,wca),thm) ),
inference(res,[status(thm),theory(equality)],[83,112]),
[iquote('0:Res:83.1,112.1')] ).
cnf(1274,plain,
( ~ nota(wca,u)
| ~ model(v,skf99(u,wca)) ),
inference(res,[status(thm),theory(equality)],[83,43]),
[iquote('0:Res:83.1,43.1')] ).
cnf(1287,plain,
model(skf82(u),u),
inference(spt,[spt(split,[position(s2s2s2s2s2s1)])],[1239]),
[iquote('6:Spt:1239.0')] ).
cnf(1288,plain,
$false,
inference(unc,[status(thm)],[1287,11]),
[iquote('6:UnC:1287.0,11.0')] ).
cnf(1289,plain,
model(skf83(skc63),skc63),
inference(spt,[spt(split,[position(s2s2s2s2s2s2)])],[1239]),
[iquote('6:Spt:1288.0,1239.1')] ).
cnf(1306,plain,
( model(skf82(u),u)
| model(skf83(skc62),skc62) ),
inference(res,[status(thm),theory(equality)],[655,41]),
[iquote('0:Res:655.1,41.0')] ).
cnf(1308,plain,
model(skf82(u),u),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s1)])],[1306]),
[iquote('7:Spt:1306.0')] ).
cnf(1309,plain,
$false,
inference(unc,[status(thm)],[1308,11]),
[iquote('7:UnC:1308.0,11.0')] ).
cnf(1310,plain,
model(skf83(skc62),skc62),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2)])],[1306]),
[iquote('7:Spt:1309.0,1306.1')] ).
cnf(1327,plain,
( model(skf82(u),u)
| model(skf83(skc58),skc58) ),
inference(res,[status(thm),theory(equality)],[656,41]),
[iquote('0:Res:656.1,41.0')] ).
cnf(1375,plain,
model(skf82(u),u),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s1)])],[1327]),
[iquote('8:Spt:1327.0')] ).
cnf(1376,plain,
$false,
inference(unc,[status(thm)],[1375,11]),
[iquote('8:UnC:1375.0,11.0')] ).
cnf(1377,plain,
model(skf83(skc58),skc58),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2)])],[1327]),
[iquote('8:Spt:1376.0,1327.1')] ).
cnf(1416,plain,
status__dfg(skc72,skc57,sat),
inference(res,[status(thm),theory(equality)],[8,760]),
[iquote('0:Res:8.0,760.0')] ).
cnf(1565,plain,
( nota(unp,u)
| status__dfg(skc72,v,u) ),
inference(res,[status(thm),theory(equality)],[129,82]),
[iquote('0:Res:129.0,82.0')] ).
cnf(1572,plain,
( nota(unp,u)
| status__dfg(skc57,v,u) ),
inference(res,[status(thm),theory(equality)],[136,82]),
[iquote('0:Res:136.0,82.0')] ).
cnf(1587,plain,
( nota(sap,u)
| status__dfg(v,skc72,u) ),
inference(res,[status(thm),theory(equality)],[115,82]),
[iquote('0:Res:115.0,82.0')] ).
cnf(1594,plain,
( nota(sap,u)
| status__dfg(v,skc57,u) ),
inference(res,[status(thm),theory(equality)],[122,82]),
[iquote('0:Res:122.0,82.0')] ).
cnf(1642,plain,
( nota(thm,u)
| status__dfg(skc68,skc67,u) ),
inference(res,[status(thm),theory(equality)],[347,82]),
[iquote('0:Res:347.0,82.0')] ).
cnf(1643,plain,
( nota(sat,u)
| status__dfg(skc72,skc57,u) ),
inference(res,[status(thm),theory(equality)],[1416,82]),
[iquote('0:Res:1416.0,82.0')] ).
cnf(1657,plain,
( nota(thm,uns)
| model(u,skc68) ),
inference(res,[status(thm),theory(equality)],[1642,30]),
[iquote('0:Res:1642.1,30.0')] ).
cnf(1658,plain,
( nota(thm,tca)
| model(u,skc67) ),
inference(res,[status(thm),theory(equality)],[1642,29]),
[iquote('0:Res:1642.1,29.0')] ).
cnf(1660,plain,
( nota(thm,wtc)
| model(u,skc67) ),
inference(res,[status(thm),theory(equality)],[1642,27]),
[iquote('0:Res:1642.1,27.0')] ).
cnf(1661,plain,
( nota(thm,tau)
| model(u,skc68) ),
inference(res,[status(thm),theory(equality)],[1642,25]),
[iquote('0:Res:1642.1,25.0')] ).
cnf(1664,plain,
( nota(thm,tac)
| model(u,skc67) ),
inference(res,[status(thm),theory(equality)],[1642,24]),
[iquote('0:Res:1642.1,24.0')] ).
cnf(1706,plain,
model(u,skc68),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s1)])],[1657]),
[iquote('9:Spt:1657.1')] ).
cnf(1707,plain,
$false,
inference(unc,[status(thm)],[1706,113]),
[iquote('9:UnC:1706.0,113.0')] ).
cnf(1708,plain,
nota(thm,uns),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2)])],[1657]),
[iquote('9:Spt:1707.0,1657.0')] ).
cnf(1731,plain,
model(u,skc67),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s1)])],[1658]),
[iquote('10:Spt:1658.1')] ).
cnf(1732,plain,
$false,
inference(unc,[status(thm)],[1731,13]),
[iquote('10:UnC:1731.0,13.0')] ).
cnf(1733,plain,
nota(thm,tca),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2)])],[1658]),
[iquote('10:Spt:1732.0,1658.0')] ).
cnf(1734,plain,
model(u,skc67),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s1)])],[1660]),
[iquote('11:Spt:1660.1')] ).
cnf(1735,plain,
$false,
inference(unc,[status(thm)],[1734,13]),
[iquote('11:UnC:1734.0,13.0')] ).
cnf(1736,plain,
nota(thm,wtc),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2)])],[1660]),
[iquote('11:Spt:1735.0,1660.0')] ).
cnf(1737,plain,
model(u,skc68),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s1)])],[1661]),
[iquote('12:Spt:1661.1')] ).
cnf(1738,plain,
$false,
inference(unc,[status(thm)],[1737,113]),
[iquote('12:UnC:1737.0,113.0')] ).
cnf(1739,plain,
nota(thm,tau),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2)])],[1661]),
[iquote('12:Spt:1738.0,1661.0')] ).
cnf(1740,plain,
model(u,skc67),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[1664]),
[iquote('13:Spt:1664.1')] ).
cnf(1741,plain,
$false,
inference(unc,[status(thm)],[1740,13]),
[iquote('13:UnC:1740.0,13.0')] ).
cnf(1742,plain,
nota(thm,tac),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[1664]),
[iquote('13:Spt:1741.0,1664.0')] ).
cnf(1743,plain,
( ~ model(u,v)
| status__dfg(v,skc57,tac) ),
inference(res,[status(thm),theory(equality)],[1,89]),
[iquote('0:Res:1.0,89.1')] ).
cnf(1870,plain,
( nota(sat,uns)
| model(u,skc72) ),
inference(res,[status(thm),theory(equality)],[1643,30]),
[iquote('0:Res:1643.1,30.0')] ).
cnf(1874,plain,
( nota(sat,tau)
| model(u,skc72) ),
inference(res,[status(thm),theory(equality)],[1643,25]),
[iquote('0:Res:1643.1,25.0')] ).
cnf(1900,plain,
( ~ model(u,skc57)
| nota(sat,eth)
| model(u,skc72) ),
inference(res,[status(thm),theory(equality)],[1643,76]),
[iquote('0:Res:1643.1,76.1')] ).
cnf(1901,plain,
( ~ model(u,skc57)
| nota(sat,eqv)
| model(u,skc72) ),
inference(res,[status(thm),theory(equality)],[1643,73]),
[iquote('0:Res:1643.1,73.1')] ).
cnf(1919,plain,
( nota(sat,eth)
| model(u,skc72) ),
inference(mrr,[status(thm)],[1900,1]),
[iquote('0:MRR:1900.0,1.0')] ).
cnf(1920,plain,
( nota(sat,eqv)
| model(u,skc72) ),
inference(mrr,[status(thm)],[1901,1]),
[iquote('0:MRR:1901.0,1.0')] ).
cnf(1922,plain,
model(u,skc72),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[1870]),
[iquote('14:Spt:1870.1')] ).
cnf(1923,plain,
$false,
inference(unc,[status(thm)],[1922,14]),
[iquote('14:UnC:1922.0,14.0')] ).
cnf(1924,plain,
nota(sat,uns),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[1870]),
[iquote('14:Spt:1923.0,1870.0')] ).
cnf(1933,plain,
model(u,skc72),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[1874]),
[iquote('15:Spt:1874.1')] ).
cnf(1934,plain,
$false,
inference(unc,[status(thm)],[1933,14]),
[iquote('15:UnC:1933.0,14.0')] ).
cnf(1935,plain,
nota(sat,tau),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[1874]),
[iquote('15:Spt:1934.0,1874.0')] ).
cnf(1936,plain,
model(u,skc72),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[1919]),
[iquote('16:Spt:1919.1')] ).
cnf(1937,plain,
$false,
inference(unc,[status(thm)],[1936,14]),
[iquote('16:UnC:1936.0,14.0')] ).
cnf(1938,plain,
nota(sat,eth),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[1919]),
[iquote('16:Spt:1937.0,1919.0')] ).
cnf(1939,plain,
model(u,skc72),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[1920]),
[iquote('17:Spt:1920.1')] ).
cnf(1940,plain,
$false,
inference(unc,[status(thm)],[1939,14]),
[iquote('17:UnC:1939.0,14.0')] ).
cnf(1941,plain,
nota(sat,eqv),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[1920]),
[iquote('17:Spt:1940.0,1920.0')] ).
cnf(2762,plain,
( nota(unp,uns)
| model(u,skc72) ),
inference(res,[status(thm),theory(equality)],[1565,30]),
[iquote('0:Res:1565.1,30.0')] ).
cnf(2765,plain,
( nota(unp,wtc)
| model(u,v) ),
inference(res,[status(thm),theory(equality)],[1565,27]),
[iquote('0:Res:1565.1,27.0')] ).
cnf(2767,plain,
( nota(unp,tau)
| model(u,v) ),
inference(res,[status(thm),theory(equality)],[1565,26]),
[iquote('0:Res:1565.1,26.0')] ).
cnf(2769,plain,
( nota(unp,tac)
| model(u,v) ),
inference(res,[status(thm),theory(equality)],[1565,24]),
[iquote('0:Res:1565.1,24.0')] ).
cnf(2910,plain,
( ~ nevera(u,sca)
| ~ status__dfg(v,skc57,u)
| model(skf82(v),v) ),
inference(res,[status(thm),theory(equality)],[657,96]),
[iquote('0:Res:657.1,96.1')] ).
cnf(2936,plain,
model(u,skc72),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[2762]),
[iquote('18:Spt:2762.1')] ).
cnf(2937,plain,
$false,
inference(unc,[status(thm)],[2936,14]),
[iquote('18:UnC:2936.0,14.0')] ).
cnf(2938,plain,
nota(unp,uns),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[2762]),
[iquote('18:Spt:2937.0,2762.0')] ).
cnf(2939,plain,
model(u,v),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[2765]),
[iquote('19:Spt:2765.1')] ).
cnf(2940,plain,
$false,
inference(unc,[status(thm)],[2939,11]),
[iquote('19:UnC:2939.0,11.0')] ).
cnf(2941,plain,
nota(unp,wtc),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[2765]),
[iquote('19:Spt:2940.0,2765.0')] ).
cnf(3055,plain,
model(u,v),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[2767]),
[iquote('20:Spt:2767.1')] ).
cnf(3056,plain,
$false,
inference(unc,[status(thm)],[3055,11]),
[iquote('20:UnC:3055.0,11.0')] ).
cnf(3057,plain,
nota(unp,tau),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[2767]),
[iquote('20:Spt:3056.0,2767.0')] ).
cnf(3058,plain,
model(u,v),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[2769]),
[iquote('21:Spt:2769.1')] ).
cnf(3059,plain,
$false,
inference(unc,[status(thm)],[3058,11]),
[iquote('21:UnC:3058.0,11.0')] ).
cnf(3060,plain,
nota(unp,tac),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[2769]),
[iquote('21:Spt:3059.0,2769.0')] ).
cnf(3093,plain,
( model(u,skc72)
| model(skf86(v),v)
| status__dfg(v,skc72,wca) ),
inference(res,[status(thm),theory(equality)],[8,98]),
[iquote('0:Res:8.0,98.0')] ).
cnf(3613,plain,
( ~ model(u,skc57)
| nota(unp,thm)
| model(u,v) ),
inference(res,[status(thm),theory(equality)],[1572,71]),
[iquote('0:Res:1572.1,71.1')] ).
cnf(3614,plain,
( ~ model(u,skc57)
| nota(unp,esa)
| model(skf58(v),v) ),
inference(res,[status(thm),theory(equality)],[1572,87]),
[iquote('0:Res:1572.1,87.1')] ).
cnf(3615,plain,
( ~ model(u,skc57)
| nota(unp,sap)
| model(skf55(v),v) ),
inference(res,[status(thm),theory(equality)],[1572,86]),
[iquote('0:Res:1572.1,86.1')] ).
cnf(3637,plain,
( nota(unp,thm)
| model(u,v) ),
inference(mrr,[status(thm)],[3613,1]),
[iquote('0:MRR:3613.0,1.0')] ).
cnf(3638,plain,
( nota(unp,esa)
| model(skf58(u),u) ),
inference(mrr,[status(thm)],[3614,1]),
[iquote('0:MRR:3614.0,1.0')] ).
cnf(3639,plain,
( nota(unp,sap)
| model(skf55(u),u) ),
inference(mrr,[status(thm)],[3615,1]),
[iquote('0:MRR:3615.0,1.0')] ).
cnf(3640,plain,
model(u,v),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[3637]),
[iquote('22:Spt:3637.1')] ).
cnf(3641,plain,
$false,
inference(unc,[status(thm)],[3640,11]),
[iquote('22:UnC:3640.0,11.0')] ).
cnf(3642,plain,
nota(unp,thm),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[3637]),
[iquote('22:Spt:3641.0,3637.0')] ).
cnf(3665,plain,
model(skf58(u),u),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[3638]),
[iquote('23:Spt:3638.1')] ).
cnf(3666,plain,
$false,
inference(unc,[status(thm)],[3665,11]),
[iquote('23:UnC:3665.0,11.0')] ).
cnf(3667,plain,
nota(unp,esa),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[3638]),
[iquote('23:Spt:3666.0,3638.0')] ).
cnf(3668,plain,
model(skf55(u),u),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[3639]),
[iquote('24:Spt:3639.1')] ).
cnf(3669,plain,
$false,
inference(unc,[status(thm)],[3668,11]),
[iquote('24:UnC:3668.0,11.0')] ).
cnf(3670,plain,
nota(unp,sap),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[3639]),
[iquote('24:Spt:3669.0,3639.0')] ).
cnf(3672,plain,
( nota(sap,uns)
| model(u,v) ),
inference(res,[status(thm),theory(equality)],[1587,30]),
[iquote('0:Res:1587.1,30.0')] ).
cnf(3676,plain,
( nota(sap,tau)
| model(u,v) ),
inference(res,[status(thm),theory(equality)],[1587,25]),
[iquote('0:Res:1587.1,25.0')] ).
cnf(3679,plain,
( nota(sap,tac)
| model(u,skc72) ),
inference(res,[status(thm),theory(equality)],[1587,24]),
[iquote('0:Res:1587.1,24.0')] ).
cnf(3692,plain,
( nota(sap,eqv)
| model(skf63(u),u) ),
inference(res,[status(thm),theory(equality)],[1587,33]),
[iquote('0:Res:1587.1,33.0')] ).
cnf(3910,plain,
model(u,skc72),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[3679]),
[iquote('25:Spt:3679.1')] ).
cnf(3911,plain,
$false,
inference(unc,[status(thm)],[3910,14]),
[iquote('25:UnC:3910.0,14.0')] ).
cnf(3912,plain,
nota(sap,tac),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[3679]),
[iquote('25:Spt:3911.0,3679.0')] ).
cnf(3913,plain,
model(u,v),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[3672]),
[iquote('26:Spt:3672.1')] ).
cnf(3914,plain,
$false,
inference(unc,[status(thm)],[3913,11]),
[iquote('26:UnC:3913.0,11.0')] ).
cnf(3915,plain,
nota(sap,uns),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[3672]),
[iquote('26:Spt:3914.0,3672.0')] ).
cnf(3916,plain,
model(u,v),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[3676]),
[iquote('27:Spt:3676.1')] ).
cnf(3917,plain,
$false,
inference(unc,[status(thm)],[3916,11]),
[iquote('27:UnC:3916.0,11.0')] ).
cnf(3918,plain,
nota(sap,tau),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[3676]),
[iquote('27:Spt:3917.0,3676.0')] ).
cnf(3919,plain,
model(skf63(u),u),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[3692]),
[iquote('28:Spt:3692.1')] ).
cnf(3920,plain,
$false,
inference(unc,[status(thm)],[3919,11]),
[iquote('28:UnC:3919.0,11.0')] ).
cnf(3921,plain,
nota(sap,eqv),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[3692]),
[iquote('28:Spt:3920.0,3692.0')] ).
cnf(4633,plain,
( ~ model(u,skc57)
| nota(sap,esa)
| model(skf59(v),v) ),
inference(res,[status(thm),theory(equality)],[1594,88]),
[iquote('0:Res:1594.1,88.1')] ).
cnf(4634,plain,
( ~ model(u,skc57)
| nota(sap,unp)
| model(skf53(v),v) ),
inference(res,[status(thm),theory(equality)],[1594,85]),
[iquote('0:Res:1594.1,85.1')] ).
cnf(4668,plain,
( nota(sap,esa)
| model(skf59(u),u) ),
inference(mrr,[status(thm)],[4633,1]),
[iquote('0:MRR:4633.0,1.0')] ).
cnf(4669,plain,
( nota(sap,unp)
| model(skf53(u),u) ),
inference(mrr,[status(thm)],[4634,1]),
[iquote('0:MRR:4634.0,1.0')] ).
cnf(4670,plain,
model(skf59(u),u),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[4668]),
[iquote('29:Spt:4668.1')] ).
cnf(4671,plain,
$false,
inference(unc,[status(thm)],[4670,11]),
[iquote('29:UnC:4670.0,11.0')] ).
cnf(4672,plain,
nota(sap,esa),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[4668]),
[iquote('29:Spt:4671.0,4668.0')] ).
cnf(4707,plain,
model(skf53(u),u),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[4669]),
[iquote('30:Spt:4669.1')] ).
cnf(4708,plain,
$false,
inference(unc,[status(thm)],[4707,11]),
[iquote('30:UnC:4707.0,11.0')] ).
cnf(4709,plain,
nota(sap,unp),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[4669]),
[iquote('30:Spt:4708.0,4669.0')] ).
cnf(5301,plain,
status__dfg(skc72,skc72,esa),
inference(res,[status(thm),theory(equality)],[8,1140]),
[iquote('0:Res:8.0,1140.0')] ).
cnf(5314,plain,
status__dfg(skc57,skc72,esa),
inference(res,[status(thm),theory(equality)],[1,1140]),
[iquote('0:Res:1.0,1140.0')] ).
cnf(5376,plain,
( nota(esa,u)
| status__dfg(skc72,skc72,u) ),
inference(res,[status(thm),theory(equality)],[5301,82]),
[iquote('0:Res:5301.0,82.0')] ).
cnf(5497,plain,
( nota(esa,u)
| status__dfg(skc57,skc72,u) ),
inference(res,[status(thm),theory(equality)],[5314,82]),
[iquote('0:Res:5314.0,82.0')] ).
cnf(6193,plain,
status__dfg(skc72,skc57,tac),
inference(res,[status(thm),theory(equality)],[8,1743]),
[iquote('0:Res:8.0,1743.0')] ).
cnf(6857,plain,
( nota(tac,u)
| status__dfg(skc72,skc57,u) ),
inference(res,[status(thm),theory(equality)],[6193,82]),
[iquote('0:Res:6193.0,82.0')] ).
cnf(6916,plain,
( status__dfg(skf101(wca,u),v,thm)
| nevera(w,wca) ),
inference(res,[status(thm),theory(equality)],[190,523]),
[iquote('0:Res:190.1,523.0')] ).
cnf(6942,plain,
nevera(u,wca),
inference(mrr,[status(thm)],[501,6916]),
[iquote('0:MRR:501.0,6916.0')] ).
cnf(8050,plain,
( nota(esa,uns)
| model(u,skc72) ),
inference(res,[status(thm),theory(equality)],[5376,30]),
[iquote('0:Res:5376.1,30.0')] ).
cnf(8053,plain,
( nota(esa,wtc)
| model(u,skc72) ),
inference(res,[status(thm),theory(equality)],[5376,27]),
[iquote('0:Res:5376.1,27.0')] ).
cnf(8054,plain,
( nota(esa,tau)
| model(u,skc72) ),
inference(res,[status(thm),theory(equality)],[5376,25]),
[iquote('0:Res:5376.1,25.0')] ).
cnf(8057,plain,
( nota(esa,tac)
| model(u,skc72) ),
inference(res,[status(thm),theory(equality)],[5376,24]),
[iquote('0:Res:5376.1,24.0')] ).
cnf(8188,plain,
model(u,skc72),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[8050]),
[iquote('31:Spt:8050.1')] ).
cnf(8189,plain,
$false,
inference(unc,[status(thm)],[8188,14]),
[iquote('31:UnC:8188.0,14.0')] ).
cnf(8190,plain,
nota(esa,uns),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[8050]),
[iquote('31:Spt:8189.0,8050.0')] ).
cnf(8191,plain,
model(u,skc72),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[8053]),
[iquote('32:Spt:8053.1')] ).
cnf(8192,plain,
$false,
inference(unc,[status(thm)],[8191,14]),
[iquote('32:UnC:8191.0,14.0')] ).
cnf(8193,plain,
nota(esa,wtc),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[8053]),
[iquote('32:Spt:8192.0,8053.0')] ).
cnf(8194,plain,
model(u,skc72),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[8054]),
[iquote('33:Spt:8054.1')] ).
cnf(8195,plain,
$false,
inference(unc,[status(thm)],[8194,14]),
[iquote('33:UnC:8194.0,14.0')] ).
cnf(8196,plain,
nota(esa,tau),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[8054]),
[iquote('33:Spt:8195.0,8054.0')] ).
cnf(8197,plain,
model(u,skc72),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[8057]),
[iquote('34:Spt:8057.1')] ).
cnf(8198,plain,
$false,
inference(unc,[status(thm)],[8197,14]),
[iquote('34:UnC:8197.0,14.0')] ).
cnf(8199,plain,
nota(esa,tac),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[8057]),
[iquote('34:Spt:8198.0,8057.0')] ).
cnf(8500,plain,
( ~ nota(wca,u)
| status__dfg(skf99(u,wca),v,thm) ),
inference(res,[status(thm),theory(equality)],[190,1274]),
[iquote('0:Res:190.1,1274.1')] ).
cnf(8524,plain,
~ nota(wca,u),
inference(mrr,[status(thm)],[1250,8500]),
[iquote('0:MRR:1250.1,8500.1')] ).
cnf(8815,plain,
( ~ model(u,skc57)
| nota(esa,thm)
| model(u,skc72) ),
inference(res,[status(thm),theory(equality)],[5497,71]),
[iquote('0:Res:5497.1,71.1')] ).
cnf(8831,plain,
( nota(esa,thm)
| model(u,skc72) ),
inference(mrr,[status(thm)],[8815,1]),
[iquote('0:MRR:8815.0,1.0')] ).
cnf(8832,plain,
model(u,skc72),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[8831]),
[iquote('35:Spt:8831.1')] ).
cnf(8833,plain,
$false,
inference(unc,[status(thm)],[8832,14]),
[iquote('35:UnC:8832.0,14.0')] ).
cnf(8834,plain,
nota(esa,thm),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[8831]),
[iquote('35:Spt:8833.0,8831.0')] ).
cnf(12541,plain,
( nota(tac,uns)
| model(u,skc72) ),
inference(res,[status(thm),theory(equality)],[6857,30]),
[iquote('0:Res:6857.1,30.0')] ).
cnf(12545,plain,
( nota(tac,tau)
| model(u,skc72) ),
inference(res,[status(thm),theory(equality)],[6857,25]),
[iquote('0:Res:6857.1,25.0')] ).
cnf(12571,plain,
( ~ model(u,skc57)
| nota(tac,eth)
| model(u,skc72) ),
inference(res,[status(thm),theory(equality)],[6857,76]),
[iquote('0:Res:6857.1,76.1')] ).
cnf(12572,plain,
( ~ model(u,skc57)
| nota(tac,eqv)
| model(u,skc72) ),
inference(res,[status(thm),theory(equality)],[6857,73]),
[iquote('0:Res:6857.1,73.1')] ).
cnf(12597,plain,
( nota(tac,eth)
| model(u,skc72) ),
inference(mrr,[status(thm)],[12571,1]),
[iquote('0:MRR:12571.0,1.0')] ).
cnf(12598,plain,
( nota(tac,eqv)
| model(u,skc72) ),
inference(mrr,[status(thm)],[12572,1]),
[iquote('0:MRR:12572.0,1.0')] ).
cnf(12621,plain,
model(u,skc72),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[12541]),
[iquote('36:Spt:12541.1')] ).
cnf(12622,plain,
$false,
inference(unc,[status(thm)],[12621,14]),
[iquote('36:UnC:12621.0,14.0')] ).
cnf(12623,plain,
nota(tac,uns),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[12541]),
[iquote('36:Spt:12622.0,12541.0')] ).
cnf(12624,plain,
model(u,skc72),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[12545]),
[iquote('37:Spt:12545.1')] ).
cnf(12625,plain,
$false,
inference(unc,[status(thm)],[12624,14]),
[iquote('37:UnC:12624.0,14.0')] ).
cnf(12626,plain,
nota(tac,tau),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[12545]),
[iquote('37:Spt:12625.0,12545.0')] ).
cnf(12627,plain,
model(u,skc72),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[12597]),
[iquote('38:Spt:12597.1')] ).
cnf(12628,plain,
$false,
inference(unc,[status(thm)],[12627,14]),
[iquote('38:UnC:12627.0,14.0')] ).
cnf(12629,plain,
nota(tac,eth),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[12597]),
[iquote('38:Spt:12628.0,12597.0')] ).
cnf(12652,plain,
model(u,skc72),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[12598]),
[iquote('39:Spt:12598.1')] ).
cnf(12653,plain,
$false,
inference(unc,[status(thm)],[12652,14]),
[iquote('39:UnC:12652.0,14.0')] ).
cnf(12654,plain,
nota(tac,eqv),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[12598]),
[iquote('39:Spt:12653.0,12598.0')] ).
cnf(13212,plain,
nevera(u,sca),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[503]),
[iquote('40:Spt:503.0')] ).
cnf(13220,plain,
( ~ status__dfg(u,skc57,v)
| model(skf82(u),u) ),
inference(mrr,[status(thm)],[2910,13212]),
[iquote('40:MRR:2910.0,13212.0')] ).
cnf(13238,plain,
model(skf82(u),u),
inference(mrr,[status(thm)],[657,13220]),
[iquote('40:MRR:657.1,13220.0')] ).
cnf(13239,plain,
$false,
inference(unc,[status(thm)],[13238,11]),
[iquote('40:UnC:13238.0,11.0')] ).
cnf(13240,plain,
model(skf83(skf100(sca,u)),skf100(sca,u)),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[503]),
[iquote('40:Spt:13239.0,503.1')] ).
cnf(14154,plain,
status__dfg(not__dfg(skc57),u,cax),
inference(res,[status(thm),theory(equality)],[310,157]),
[iquote('0:Res:310.0,157.0')] ).
cnf(14155,plain,
~ model(u,not__dfg(skc57)),
inference(res,[status(thm),theory(equality)],[14154,39]),
[iquote('0:Res:14154.0,39.1')] ).
cnf(14784,plain,
model(u,skc72),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s1)])],[3093]),
[iquote('41:Spt:3093.0')] ).
cnf(14785,plain,
$false,
inference(unc,[status(thm)],[14784,14]),
[iquote('41:UnC:14784.0,14.0')] ).
cnf(14786,plain,
( model(skf86(u),u)
| status__dfg(u,skc72,wca) ),
inference(spt,[spt(split,[position(s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2s2)])],[3093]),
[iquote('41:Spt:14785.0,3093.1,3093.2')] ).
cnf(14833,plain,
( model(skf86(u),u)
| nota(wca,v)
| status__dfg(u,skc72,v) ),
inference(res,[status(thm),theory(equality)],[14786,82]),
[iquote('41:Res:14786.1,82.0')] ).
cnf(14836,plain,
( ~ nevera(u,wca)
| ~ status__dfg(v,skc72,u)
| model(skf86(v),v) ),
inference(res,[status(thm),theory(equality)],[14786,96]),
[iquote('41:Res:14786.1,96.1')] ).
cnf(14837,plain,
( model(skf86(u),u)
| status__dfg(u,skc72,v) ),
inference(mrr,[status(thm)],[14833,8524]),
[iquote('41:MRR:14833.1,8524.0')] ).
cnf(14842,plain,
( ~ status__dfg(u,skc72,v)
| model(skf86(u),u) ),
inference(mrr,[status(thm)],[14836,6942]),
[iquote('41:MRR:14836.0,6942.0')] ).
cnf(14843,plain,
model(skf86(u),u),
inference(mrr,[status(thm)],[14842,14837]),
[iquote('41:MRR:14842.0,14837.1')] ).
cnf(14844,plain,
$false,
inference(unc,[status(thm)],[14843,14155]),
[iquote('41:UnC:14843.0,14155.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS268+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 08:21:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.03/3.20
% 3.03/3.20 SPASS V 3.9
% 3.03/3.20 SPASS beiseite: Proof found.
% 3.03/3.20 % SZS status Theorem
% 3.03/3.20 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.03/3.20 SPASS derived 14473 clauses, backtracked 241 clauses, performed 67 splits and kept 6591 clauses.
% 3.03/3.20 SPASS allocated 93696 KBytes.
% 3.03/3.20 SPASS spent 0:00:02.85 on the problem.
% 3.03/3.20 0:00:00.04 for the input.
% 3.03/3.20 0:00:00.24 for the FLOTTER CNF translation.
% 3.03/3.20 0:00:00.08 for inferences.
% 3.03/3.20 0:00:00.09 for the backtracking.
% 3.03/3.20 0:00:02.26 for the reduction.
% 3.03/3.20
% 3.03/3.20
% 3.03/3.20 Here is a proof with depth 6, length 285 :
% 3.03/3.20 % SZS output start Refutation
% See solution above
% 3.07/3.27 Formulae used in the proof : tautology satisfiable__dfg sat_non_taut_pair mixed_pair non_thm_spt mighta_wca_thm contradiction completeness not__dfg unp sap tac tau wtc cax tca uns thm eqv sca wca nevera esa sat eth nota mighta
% 3.07/3.27
%------------------------------------------------------------------------------