TSTP Solution File: RNG048+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : RNG048+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 20:41:19 EDT 2022
% Result : Theorem 157.83s 158.10s
% Output : Refutation 203.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 29
% Syntax : Number of clauses : 211 ( 11 unt; 1 nHn; 211 RR)
% Number of literals : 839 ( 0 equ; 632 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
aVector0(skc1),
file('RNG048+1.p',unknown),
[] ).
cnf(3,axiom,
aScalar0(sz0z00),
file('RNG048+1.p',unknown),
[] ).
cnf(6,axiom,
~ sdtlseqdt0(sz0z00,sdtasasdt0(skc1,skc1)),
file('RNG048+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ aScalar0(u)
| aScalar0(smndt0(u)) ),
file('RNG048+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ aScalar0(u)
| sdtlseqdt0(u,u) ),
file('RNG048+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ aScalar0(u)
| equal(smndt0(sz0z00),sz0z00) ),
file('RNG048+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ aScalar0(u)
| equal(sdtpldt0(sz0z00,u),u) ),
file('RNG048+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ aScalar0(u)
| equal(sdtasdt0(u,sz0z00),sz0z00) ),
file('RNG048+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ aScalar0(u)
| equal(smndt0(smndt0(u)),u) ),
file('RNG048+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ aScalar0(u)
| sdtlseqdt0(sz0z00,sdtasdt0(u,u)) ),
file('RNG048+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ aScalar0(u)
| equal(sdtpldt0(u,smndt0(u)),sz0z00) ),
file('RNG048+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ aScalar0(u)
| equal(sdtpldt0(smndt0(u),u),sz0z00) ),
file('RNG048+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| aScalar0(sdtpldt0(v,u)) ),
file('RNG048+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| aScalar0(sdtasdt0(v,u)) ),
file('RNG048+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| sdtlseqdt0(u,v)
| sdtlseqdt0(v,u) ),
file('RNG048+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(v,u),sdtpldt0(u,v)) ),
file('RNG048+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtasdt0(v,u),sdtasdt0(u,v)) ),
file('RNG048+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtasdt0(v,smndt0(u)),smndt0(sdtasdt0(v,u))) ),
file('RNG048+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtasdt0(smndt0(v),u),smndt0(sdtasdt0(v,u))) ),
file('RNG048+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtasdt0(smndt0(v),smndt0(u)),sdtasdt0(v,u)) ),
file('RNG048+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ aVector0(u)
| ~ aVector0(v)
| ~ equal(aDimensionOf0(v),aDimensionOf0(u))
| aScalar0(sdtasasdt0(v,u)) ),
file('RNG048+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ sdtlseqdt0(v,u)
| ~ sdtlseqdt0(u,v)
| equal(v,u) ),
file('RNG048+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| ~ sdtlseqdt0(v,u)
| ~ sdtlseqdt0(w,v)
| sdtlseqdt0(w,u) ),
file('RNG048+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| equal(sdtpldt0(sdtpldt0(w,v),u),sdtpldt0(w,sdtpldt0(v,u))) ),
file('RNG048+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| equal(sdtasdt0(sdtpldt0(w,v),u),sdtpldt0(sdtasdt0(w,u),sdtasdt0(v,u))) ),
file('RNG048+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ sdtlseqdt0(sz0z00,v)
| ~ sdtlseqdt0(sz0z00,u)
| ~ equal(sdtasdt0(v,v),sdtasdt0(u,u))
| equal(v,u) ),
file('RNG048+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| ~ aScalar0(x)
| ~ sdtlseqdt0(x,w)
| ~ sdtlseqdt0(v,u)
| sdtlseqdt0(sdtpldt0(x,v),sdtpldt0(w,u)) ),
file('RNG048+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| ~ aScalar0(x)
| ~ sdtlseqdt0(x,w)
| ~ sdtlseqdt0(v,u)
| ~ sdtlseqdt0(sz0z00,v)
| sdtlseqdt0(sdtasdt0(x,v),sdtasdt0(w,u)) ),
file('RNG048+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| ~ aScalar0(x)
| equal(sdtasdt0(sdtpldt0(x,w),sdtpldt0(v,u)),sdtpldt0(sdtpldt0(sdtasdt0(x,v),sdtasdt0(x,u)),sdtpldt0(sdtasdt0(w,v),sdtasdt0(w,u)))) ),
file('RNG048+1.p',unknown),
[] ).
cnf(69,plain,
( ~ aVector0(u)
| ~ equal(aDimensionOf0(u),aDimensionOf0(skc1))
| aScalar0(sdtasasdt0(u,skc1)) ),
inference(res,[status(thm),theory(equality)],[1,35]),
[iquote('0:Res:1.0,35.1')] ).
cnf(71,plain,
( ~ aScalar0(sz0z00)
| ~ aScalar0(u)
| ~ aScalar0(sdtasasdt0(skc1,skc1))
| ~ sdtlseqdt0(sz0z00,u)
| ~ sdtlseqdt0(u,sdtasasdt0(skc1,skc1)) ),
inference(res,[status(thm),theory(equality)],[40,6]),
[iquote('0:Res:40.5,6.0')] ).
cnf(78,plain,
( ~ aScalar0(u)
| ~ aScalar0(sdtasasdt0(skc1,skc1))
| ~ sdtlseqdt0(sz0z00,u)
| ~ sdtlseqdt0(u,sdtasasdt0(skc1,skc1)) ),
inference(mrr,[status(thm)],[71,3]),
[iquote('0:MRR:71.0,3.0')] ).
cnf(87,plain,
( ~ equal(aDimensionOf0(skc1),aDimensionOf0(skc1))
| aScalar0(sdtasasdt0(skc1,skc1)) ),
inference(res,[status(thm),theory(equality)],[1,69]),
[iquote('0:Res:1.0,69.0')] ).
cnf(93,plain,
aScalar0(sdtasasdt0(skc1,skc1)),
inference(obv,[status(thm),theory(equality)],[87]),
[iquote('0:Obv:87.0')] ).
cnf(95,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(u,sdtasasdt0(skc1,skc1))
| ~ sdtlseqdt0(sz0z00,u) ),
inference(mrr,[status(thm)],[78,93]),
[iquote('0:MRR:78.1,93.0')] ).
cnf(137,plain,
equal(smndt0(sz0z00),sz0z00),
inference(ems,[status(thm)],[12,93]),
[iquote('0:EmS:12.0,93.0')] ).
cnf(193,plain,
( ~ aScalar0(sdtasasdt0(skc1,skc1))
| ~ aScalar0(u)
| ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,u)
| sdtlseqdt0(sdtasasdt0(skc1,skc1),u) ),
inference(res,[status(thm),theory(equality)],[26,95]),
[iquote('0:Res:26.3,95.1')] ).
cnf(195,plain,
( ~ aScalar0(sdtasasdt0(skc1,skc1))
| ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,u)
| sdtlseqdt0(sdtasasdt0(skc1,skc1),u) ),
inference(obv,[status(thm),theory(equality)],[193]),
[iquote('0:Obv:193.1')] ).
cnf(196,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,u)
| sdtlseqdt0(sdtasasdt0(skc1,skc1),u) ),
inference(ssi,[status(thm)],[195,93]),
[iquote('0:SSi:195.0,93.0')] ).
cnf(288,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(smndt0(v))
| ~ aScalar0(u)
| equal(sdtasdt0(u,smndt0(v)),smndt0(sdtasdt0(v,u))) ),
inference(spr,[status(thm),theory(equality)],[33,28]),
[iquote('0:SpR:33.2,28.2')] ).
cnf(291,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(smndt0(u))
| equal(smndt0(sdtasdt0(smndt0(u),v)),sdtasdt0(u,v)) ),
inference(spr,[status(thm),theory(equality)],[18,33]),
[iquote('0:SpR:18.1,33.2')] ).
cnf(298,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(smndt0(u))
| equal(smndt0(smndt0(sdtasdt0(u,v))),sdtasdt0(u,v)) ),
inference(rew,[status(thm),theory(equality)],[33,291]),
[iquote('0:Rew:33.2,291.3')] ).
cnf(299,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(smndt0(smndt0(sdtasdt0(u,v))),sdtasdt0(u,v)) ),
inference(ssi,[status(thm)],[298,8]),
[iquote('0:SSi:298.2,8.1')] ).
cnf(302,plain,
( ~ aScalar0(u)
| ~ aScalar0(smndt0(u))
| ~ aScalar0(v)
| equal(sdtasdt0(v,smndt0(u)),smndt0(sdtasdt0(u,v))) ),
inference(obv,[status(thm),theory(equality)],[288]),
[iquote('0:Obv:288.0')] ).
cnf(303,plain,
( ~ aScalar0(u)
| ~ aScalar0(smndt0(u))
| ~ aScalar0(v)
| equal(smndt0(sdtasdt0(v,u)),smndt0(sdtasdt0(u,v))) ),
inference(rew,[status(thm),theory(equality)],[32,302]),
[iquote('0:Rew:32.2,302.3')] ).
cnf(304,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(smndt0(sdtasdt0(v,u)),smndt0(sdtasdt0(u,v))) ),
inference(ssi,[status(thm)],[303,8]),
[iquote('0:SSi:303.1,8.1')] ).
cnf(392,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(smndt0(sdtasdt0(u,v)))
| equal(sdtpldt0(sdtasdt0(u,v),smndt0(sdtasdt0(u,v))),sz0z00) ),
inference(spr,[status(thm),theory(equality)],[299,21]),
[iquote('0:SpR:299.2,21.1')] ).
cnf(417,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(sdtasdt0(u,v),smndt0(sdtasdt0(u,v))),sz0z00) ),
inference(ssi,[status(thm)],[392,8,23]),
[iquote('0:SSi:392.2,8.2,23.1')] ).
cnf(594,plain,
( ~ aScalar0(u)
| ~ aScalar0(sdtasdt0(u,u))
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sdtasdt0(u,u),sz0z00)
| equal(sdtasdt0(u,u),sz0z00) ),
inference(res,[status(thm),theory(equality)],[19,36]),
[iquote('0:Res:19.1,36.2')] ).
cnf(603,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(sdtasdt0(u,u),sz0z00)
| equal(sdtasdt0(u,u),sz0z00) ),
inference(ssi,[status(thm)],[594,3,23]),
[iquote('0:SSi:594.2,594.1,3.2,23.0')] ).
cnf(615,plain,
( ~ aScalar0(u)
| ~ aScalar0(u)
| ~ aScalar0(smndt0(u))
| ~ sdtlseqdt0(sdtasdt0(u,u),sz0z00)
| equal(sdtasdt0(smndt0(u),smndt0(u)),sz0z00) ),
inference(spl,[status(thm),theory(equality)],[34,603]),
[iquote('0:SpL:34.2,603.1')] ).
cnf(623,plain,
( ~ aScalar0(u)
| ~ aScalar0(smndt0(u))
| ~ sdtlseqdt0(sdtasdt0(u,u),sz0z00)
| equal(sdtasdt0(smndt0(u),smndt0(u)),sz0z00) ),
inference(obv,[status(thm),theory(equality)],[615]),
[iquote('0:Obv:615.0')] ).
cnf(624,plain,
( ~ aScalar0(u)
| ~ aScalar0(smndt0(u))
| ~ sdtlseqdt0(sdtasdt0(u,u),sz0z00)
| equal(smndt0(sdtasdt0(u,smndt0(u))),sz0z00) ),
inference(rew,[status(thm),theory(equality)],[304,623,32]),
[iquote('0:Rew:304.2,623.3,32.2,623.3')] ).
cnf(625,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(sdtasdt0(u,u),sz0z00)
| equal(smndt0(sdtasdt0(u,smndt0(u))),sz0z00) ),
inference(ssi,[status(thm)],[624,8]),
[iquote('0:SSi:624.1,8.1')] ).
cnf(706,plain,
( ~ aScalar0(u)
| ~ aScalar0(sdtasdt0(u,smndt0(u)))
| ~ sdtlseqdt0(sdtasdt0(u,u),sz0z00)
| equal(sdtasdt0(u,smndt0(u)),smndt0(sz0z00)) ),
inference(spr,[status(thm),theory(equality)],[625,18]),
[iquote('0:SpR:625.2,18.1')] ).
cnf(734,plain,
( ~ aScalar0(u)
| ~ aScalar0(sdtasdt0(u,smndt0(u)))
| ~ sdtlseqdt0(sdtasdt0(u,u),sz0z00)
| equal(sdtasdt0(u,smndt0(u)),sz0z00) ),
inference(rew,[status(thm),theory(equality)],[137,706]),
[iquote('0:Rew:137.0,706.3')] ).
cnf(735,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(sdtasdt0(u,u),sz0z00)
| equal(sdtasdt0(u,smndt0(u)),sz0z00) ),
inference(ssi,[status(thm)],[734,23,8]),
[iquote('0:SSi:734.1,23.1,8.2')] ).
cnf(900,plain,
( ~ aScalar0(u)
| ~ aScalar0(smndt0(u))
| ~ sdtlseqdt0(sdtasdt0(smndt0(u),smndt0(u)),sz0z00)
| equal(sdtasdt0(smndt0(u),u),sz0z00) ),
inference(spr,[status(thm),theory(equality)],[18,735]),
[iquote('0:SpR:18.1,735.2')] ).
cnf(912,plain,
( ~ aScalar0(u)
| ~ aScalar0(smndt0(u))
| ~ sdtlseqdt0(smndt0(sdtasdt0(u,smndt0(u))),sz0z00)
| equal(sdtasdt0(u,smndt0(u)),sz0z00) ),
inference(rew,[status(thm),theory(equality)],[28,900,304,32]),
[iquote('0:Rew:28.2,900.3,304.2,900.2,32.2,900.2')] ).
cnf(913,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(smndt0(sdtasdt0(u,smndt0(u))),sz0z00)
| equal(sdtasdt0(u,smndt0(u)),sz0z00) ),
inference(ssi,[status(thm)],[912,8]),
[iquote('0:SSi:912.1,8.1')] ).
cnf(943,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(u)
| ~ aScalar0(sz0z00)
| equal(sdtpldt0(sz0z00,sdtpldt0(u,v)),sdtpldt0(u,v)) ),
inference(spr,[status(thm),theory(equality)],[15,42]),
[iquote('0:SpR:15.1,42.3')] ).
cnf(944,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(u)
| ~ aScalar0(smndt0(u))
| equal(sdtpldt0(smndt0(u),sdtpldt0(u,v)),sdtpldt0(sz0z00,v)) ),
inference(spr,[status(thm),theory(equality)],[21,42]),
[iquote('0:SpR:21.1,42.3')] ).
cnf(947,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(smndt0(u))
| ~ aScalar0(u)
| equal(sdtpldt0(u,sdtpldt0(smndt0(u),v)),sdtpldt0(sz0z00,v)) ),
inference(spr,[status(thm),theory(equality)],[20,42]),
[iquote('0:SpR:20.1,42.3')] ).
cnf(951,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(sz0z00)
| equal(sdtpldt0(sz0z00,sdtpldt0(v,u)),sdtpldt0(v,u)) ),
inference(obv,[status(thm),theory(equality)],[943]),
[iquote('0:Obv:943.0')] ).
cnf(952,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(sz0z00,sdtpldt0(v,u)),sdtpldt0(v,u)) ),
inference(ssi,[status(thm)],[951,3]),
[iquote('0:SSi:951.2,3.0')] ).
cnf(953,plain,
( ~ aScalar0(u)
| ~ aScalar0(smndt0(v))
| ~ aScalar0(v)
| equal(sdtpldt0(v,sdtpldt0(smndt0(v),u)),sdtpldt0(sz0z00,u)) ),
inference(obv,[status(thm),theory(equality)],[947]),
[iquote('0:Obv:947.0')] ).
cnf(954,plain,
( ~ aScalar0(u)
| ~ aScalar0(smndt0(v))
| ~ aScalar0(v)
| equal(sdtpldt0(v,sdtpldt0(smndt0(v),u)),u) ),
inference(rew,[status(thm),theory(equality)],[15,953]),
[iquote('0:Rew:15.1,953.3')] ).
cnf(955,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(v,sdtpldt0(smndt0(v),u)),u) ),
inference(ssi,[status(thm)],[954,8]),
[iquote('0:SSi:954.1,8.1')] ).
cnf(956,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(smndt0(v))
| equal(sdtpldt0(smndt0(v),sdtpldt0(v,u)),sdtpldt0(sz0z00,u)) ),
inference(obv,[status(thm),theory(equality)],[944]),
[iquote('0:Obv:944.0')] ).
cnf(957,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(smndt0(v))
| equal(sdtpldt0(smndt0(v),sdtpldt0(v,u)),u) ),
inference(rew,[status(thm),theory(equality)],[15,956]),
[iquote('0:Rew:15.1,956.3')] ).
cnf(958,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(smndt0(v),sdtpldt0(v,u)),u) ),
inference(ssi,[status(thm)],[957,8]),
[iquote('0:SSi:957.2,8.1')] ).
cnf(1008,plain,
( ~ aScalar0(smndt0(u))
| ~ aScalar0(v)
| ~ aScalar0(v)
| ~ aScalar0(u)
| equal(sdtpldt0(u,sdtpldt0(v,smndt0(u))),v) ),
inference(spr,[status(thm),theory(equality)],[27,955]),
[iquote('0:SpR:27.2,955.2')] ).
cnf(1013,plain,
( ~ aScalar0(smndt0(u))
| ~ aScalar0(v)
| ~ aScalar0(u)
| equal(sdtpldt0(u,sdtpldt0(v,smndt0(u))),v) ),
inference(obv,[status(thm),theory(equality)],[1008]),
[iquote('0:Obv:1008.1')] ).
cnf(1014,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(v,sdtpldt0(u,smndt0(v))),u) ),
inference(ssi,[status(thm)],[1013,8]),
[iquote('0:SSi:1013.0,8.1')] ).
cnf(1036,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(v)
| ~ aScalar0(u)
| equal(sdtpldt0(smndt0(u),sdtpldt0(v,u)),v) ),
inference(spr,[status(thm),theory(equality)],[27,958]),
[iquote('0:SpR:27.2,958.2')] ).
cnf(1050,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(smndt0(v),sdtpldt0(u,v)),u) ),
inference(obv,[status(thm),theory(equality)],[1036]),
[iquote('0:Obv:1036.1')] ).
cnf(1064,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(sdtpldt0(u,smndt0(v)))
| ~ aScalar0(v)
| equal(sdtpldt0(smndt0(v),u),sdtpldt0(u,smndt0(v))) ),
inference(spr,[status(thm),theory(equality)],[1014,958]),
[iquote('0:SpR:1014.2,958.2')] ).
cnf(1088,plain,
( ~ aScalar0(u)
| ~ aScalar0(sdtpldt0(u,smndt0(v)))
| ~ aScalar0(v)
| equal(sdtpldt0(smndt0(v),u),sdtpldt0(u,smndt0(v))) ),
inference(obv,[status(thm),theory(equality)],[1064]),
[iquote('0:Obv:1064.1')] ).
cnf(1089,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(smndt0(v),u),sdtpldt0(u,smndt0(v))) ),
inference(ssi,[status(thm)],[1088,22,8]),
[iquote('0:SSi:1088.1,22.1,8.2')] ).
cnf(1321,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(smndt0(v))
| ~ aScalar0(sdtpldt0(u,v))
| equal(sdtpldt0(smndt0(sdtpldt0(u,v)),u),smndt0(v)) ),
inference(spr,[status(thm),theory(equality)],[1050]),
[iquote('0:SpR:1050.2,1050.2')] ).
cnf(1334,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(smndt0(v))
| ~ aScalar0(sdtpldt0(v,u))
| equal(sdtpldt0(smndt0(sdtpldt0(v,u)),u),smndt0(v)) ),
inference(spr,[status(thm),theory(equality)],[958,1050]),
[iquote('0:SpR:958.2,1050.2')] ).
cnf(1335,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(v)
| ~ aScalar0(sdtpldt0(u,smndt0(v)))
| equal(sdtpldt0(smndt0(sdtpldt0(u,smndt0(v))),u),v) ),
inference(spr,[status(thm),theory(equality)],[1014,1050]),
[iquote('0:SpR:1014.2,1050.2')] ).
cnf(1352,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(sdtpldt0(u,smndt0(v)))
| equal(sdtpldt0(smndt0(sdtpldt0(u,smndt0(v))),u),v) ),
inference(obv,[status(thm),theory(equality)],[1335]),
[iquote('0:Obv:1335.1')] ).
cnf(1353,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(sdtpldt0(u,smndt0(v)))
| equal(sdtpldt0(u,smndt0(sdtpldt0(u,smndt0(v)))),v) ),
inference(rew,[status(thm),theory(equality)],[1089,1352]),
[iquote('0:Rew:1089.2,1352.3')] ).
cnf(1354,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(u,smndt0(sdtpldt0(u,smndt0(v)))),v) ),
inference(ssi,[status(thm)],[1353,22,8]),
[iquote('0:SSi:1353.2,22.1,8.2')] ).
cnf(1355,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(smndt0(v))
| ~ aScalar0(sdtpldt0(v,u))
| equal(sdtpldt0(u,smndt0(sdtpldt0(v,u))),smndt0(v)) ),
inference(rew,[status(thm),theory(equality)],[1089,1334]),
[iquote('0:Rew:1089.2,1334.4')] ).
cnf(1356,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(u,smndt0(sdtpldt0(v,u))),smndt0(v)) ),
inference(ssi,[status(thm)],[1355,22,8]),
[iquote('0:SSi:1355.3,1355.2,22.1,8.2')] ).
cnf(1362,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(smndt0(v))
| ~ aScalar0(sdtpldt0(u,v))
| equal(sdtpldt0(u,smndt0(sdtpldt0(u,v))),smndt0(v)) ),
inference(rew,[status(thm),theory(equality)],[1089,1321]),
[iquote('0:Rew:1089.2,1321.4')] ).
cnf(1363,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(u,smndt0(sdtpldt0(u,v))),smndt0(v)) ),
inference(ssi,[status(thm)],[1362,22,8]),
[iquote('0:SSi:1362.3,1362.2,22.1,8.2')] ).
cnf(1553,plain,
( ~ aScalar0(u)
| ~ aScalar0(u)
| ~ aScalar0(smndt0(u))
| equal(sdtpldt0(sz0z00,sz0z00),sz0z00) ),
inference(spr,[status(thm),theory(equality)],[21,952]),
[iquote('0:SpR:21.1,952.2')] ).
cnf(1565,plain,
( ~ aScalar0(u)
| ~ aScalar0(smndt0(u))
| equal(sdtpldt0(sz0z00,sz0z00),sz0z00) ),
inference(obv,[status(thm),theory(equality)],[1553]),
[iquote('0:Obv:1553.0')] ).
cnf(1566,plain,
( ~ aScalar0(u)
| equal(sdtpldt0(sz0z00,sz0z00),sz0z00) ),
inference(ssi,[status(thm)],[1565,8]),
[iquote('0:SSi:1565.1,8.1')] ).
cnf(1589,plain,
equal(sdtpldt0(sz0z00,sz0z00),sz0z00),
inference(ems,[status(thm)],[1566,93]),
[iquote('0:EmS:1566.0,93.0')] ).
cnf(1844,plain,
( ~ aScalar0(sdtpldt0(u,v))
| ~ aScalar0(v)
| ~ aScalar0(u)
| ~ aScalar0(sdtpldt0(u,v))
| sdtlseqdt0(sz0z00,sdtpldt0(sdtasdt0(u,sdtpldt0(u,v)),sdtasdt0(v,sdtpldt0(u,v)))) ),
inference(spr,[status(thm),theory(equality)],[45,19]),
[iquote('0:SpR:45.3,19.1')] ).
cnf(1907,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(sdtpldt0(v,u))
| sdtlseqdt0(sz0z00,sdtpldt0(sdtasdt0(v,sdtpldt0(v,u)),sdtasdt0(u,sdtpldt0(v,u)))) ),
inference(obv,[status(thm),theory(equality)],[1844]),
[iquote('0:Obv:1844.0')] ).
cnf(1908,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| sdtlseqdt0(sz0z00,sdtpldt0(sdtasdt0(v,sdtpldt0(v,u)),sdtasdt0(u,sdtpldt0(v,u)))) ),
inference(ssi,[status(thm)],[1907,22]),
[iquote('0:SSi:1907.2,22.2')] ).
cnf(2053,plain,
( ~ aScalar0(sz0z00)
| ~ aScalar0(u)
| ~ aScalar0(smndt0(sdtpldt0(sz0z00,smndt0(u))))
| equal(smndt0(sdtpldt0(sz0z00,smndt0(u))),u) ),
inference(spr,[status(thm),theory(equality)],[1354,15]),
[iquote('0:SpR:1354.2,15.1')] ).
cnf(2054,plain,
( ~ aScalar0(smndt0(u))
| ~ aScalar0(v)
| ~ aScalar0(smndt0(sdtpldt0(smndt0(u),smndt0(v))))
| ~ aScalar0(u)
| equal(smndt0(sdtpldt0(smndt0(u),smndt0(v))),sdtpldt0(u,v)) ),
inference(spr,[status(thm),theory(equality)],[1354,955]),
[iquote('0:SpR:1354.2,955.2')] ).
cnf(2057,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(smndt0(sdtpldt0(u,smndt0(v))))
| ~ aScalar0(u)
| equal(sdtpldt0(smndt0(u),v),smndt0(sdtpldt0(u,smndt0(v)))) ),
inference(spr,[status(thm),theory(equality)],[1354,958]),
[iquote('0:SpR:1354.2,958.2')] ).
cnf(2085,plain,
( ~ aScalar0(u)
| equal(smndt0(sdtpldt0(sz0z00,smndt0(u))),u) ),
inference(ssi,[status(thm)],[2053,8,22,3]),
[iquote('0:SSi:2053.2,2053.0,8.0,22.1,3.0,8.2,3.1')] ).
cnf(2096,plain,
( ~ aScalar0(u)
| ~ aScalar0(smndt0(sdtpldt0(v,smndt0(u))))
| ~ aScalar0(v)
| equal(sdtpldt0(smndt0(v),u),smndt0(sdtpldt0(v,smndt0(u)))) ),
inference(obv,[status(thm),theory(equality)],[2057]),
[iquote('0:Obv:2057.0')] ).
cnf(2097,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(smndt0(v),u),smndt0(sdtpldt0(v,smndt0(u)))) ),
inference(ssi,[status(thm)],[2096,8,22]),
[iquote('0:SSi:2096.1,8.1,22.2,8.1')] ).
cnf(2106,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(smndt0(sdtpldt0(smndt0(v),smndt0(u))),sdtpldt0(v,u)) ),
inference(ssi,[status(thm)],[2054,8,22]),
[iquote('0:SSi:2054.2,2054.0,8.1,22.1,8.1,8.2,8.1')] ).
cnf(2113,plain,
( ~ aScalar0(u)
| ~ aScalar0(sdtpldt0(sz0z00,smndt0(u)))
| equal(sdtpldt0(sz0z00,smndt0(u)),smndt0(u)) ),
inference(spr,[status(thm),theory(equality)],[2085,18]),
[iquote('0:SpR:2085.1,18.1')] ).
cnf(2145,plain,
( ~ aScalar0(u)
| equal(sdtpldt0(sz0z00,smndt0(u)),smndt0(u)) ),
inference(ssi,[status(thm)],[2113,22,3,8]),
[iquote('0:SSi:2113.1,22.1,3.0,8.2')] ).
cnf(2345,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(smndt0(sdtpldt0(v,u)))
| ~ aScalar0(u)
| equal(sdtpldt0(smndt0(u),smndt0(v)),smndt0(sdtpldt0(v,u))) ),
inference(spr,[status(thm),theory(equality)],[1356,958]),
[iquote('0:SpR:1356.2,958.2')] ).
cnf(2354,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(u)
| ~ aScalar0(smndt0(sdtpldt0(v,u)))
| equal(sdtpldt0(smndt0(smndt0(sdtpldt0(v,u))),smndt0(v)),u) ),
inference(spr,[status(thm),theory(equality)],[1356,1050]),
[iquote('0:SpR:1356.2,1050.2')] ).
cnf(2404,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(smndt0(sdtpldt0(u,v)))
| equal(sdtpldt0(smndt0(smndt0(sdtpldt0(u,v))),smndt0(u)),v) ),
inference(obv,[status(thm),theory(equality)],[2354]),
[iquote('0:Obv:2354.0')] ).
cnf(2405,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(smndt0(smndt0(sdtpldt0(u,v))),smndt0(u)),v) ),
inference(ssi,[status(thm)],[2404,8,22]),
[iquote('0:SSi:2404.2,8.2,22.1')] ).
cnf(2406,plain,
( ~ aScalar0(u)
| ~ aScalar0(smndt0(sdtpldt0(u,v)))
| ~ aScalar0(v)
| equal(sdtpldt0(smndt0(v),smndt0(u)),smndt0(sdtpldt0(u,v))) ),
inference(obv,[status(thm),theory(equality)],[2345]),
[iquote('0:Obv:2345.0')] ).
cnf(2407,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(smndt0(v),smndt0(u)),smndt0(sdtpldt0(u,v))) ),
inference(ssi,[status(thm)],[2406,8,22]),
[iquote('0:SSi:2406.1,8.2,22.1')] ).
cnf(2496,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(u)
| ~ aScalar0(smndt0(sdtpldt0(u,smndt0(v))))
| equal(smndt0(smndt0(sdtpldt0(u,smndt0(v)))),sdtpldt0(u,smndt0(v))) ),
inference(spr,[status(thm),theory(equality)],[1354,1363]),
[iquote('0:SpR:1354.2,1363.2')] ).
cnf(2499,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(smndt0(v))
| ~ aScalar0(sdtpldt0(v,u))
| equal(sdtpldt0(smndt0(v),smndt0(u)),smndt0(sdtpldt0(v,u))) ),
inference(spr,[status(thm),theory(equality)],[958,1363]),
[iquote('0:SpR:958.2,1363.2')] ).
cnf(2529,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(smndt0(v),smndt0(u)),smndt0(sdtpldt0(v,u))) ),
inference(ssi,[status(thm)],[2499,22,8]),
[iquote('0:SSi:2499.3,2499.2,22.1,8.2')] ).
cnf(2530,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(smndt0(smndt0(sdtpldt0(v,u))),sdtpldt0(v,u)) ),
inference(rew,[status(thm),theory(equality)],[2529,2106]),
[iquote('0:Rew:2529.2,2106.2')] ).
cnf(2531,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(smndt0(sdtpldt0(v,u)),smndt0(sdtpldt0(u,v))) ),
inference(rew,[status(thm),theory(equality)],[2529,2407]),
[iquote('0:Rew:2529.2,2407.2')] ).
cnf(2532,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(sdtpldt0(u,v),smndt0(u)),v) ),
inference(rew,[status(thm),theory(equality)],[2530,2405]),
[iquote('0:Rew:2530.2,2405.2')] ).
cnf(2544,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(smndt0(sdtpldt0(v,smndt0(u))))
| equal(smndt0(smndt0(sdtpldt0(v,smndt0(u)))),sdtpldt0(v,smndt0(u))) ),
inference(obv,[status(thm),theory(equality)],[2496]),
[iquote('0:Obv:2496.0')] ).
cnf(2545,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(smndt0(smndt0(sdtpldt0(v,smndt0(u)))),sdtpldt0(v,smndt0(u))) ),
inference(ssi,[status(thm)],[2544,8,22]),
[iquote('0:SSi:2544.2,8.1,22.2,8.1')] ).
cnf(2636,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(sdtpldt0(v,u),smndt0(u)),v) ),
inference(spr,[status(thm),theory(equality)],[27,2532]),
[iquote('0:SpR:27.2,2532.2')] ).
cnf(2653,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(sdtpldt0(v,u),smndt0(u)),v) ),
inference(obv,[status(thm),theory(equality)],[2636]),
[iquote('0:Obv:2636.1')] ).
cnf(2849,plain,
( ~ aScalar0(sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,u)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ equal(sdtasdt0(u,u),sz0z00)
| equal(u,sz0z00) ),
inference(spl,[status(thm),theory(equality)],[16,48]),
[iquote('0:SpL:16.1,48.4')] ).
cnf(2851,plain,
( ~ aScalar0(u)
| ~ aScalar0(u)
| ~ aScalar0(smndt0(u))
| ~ aScalar0(v)
| ~ sdtlseqdt0(sz0z00,v)
| ~ sdtlseqdt0(sz0z00,smndt0(u))
| ~ equal(sdtasdt0(v,v),sdtasdt0(u,u))
| equal(v,smndt0(u)) ),
inference(spl,[status(thm),theory(equality)],[34,48]),
[iquote('0:SpL:34.2,48.4')] ).
cnf(2854,plain,
( ~ aScalar0(sz0z00)
| ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,u)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ equal(sdtasdt0(u,u),sz0z00)
| equal(u,sz0z00) ),
inference(obv,[status(thm),theory(equality)],[2849]),
[iquote('0:Obv:2849.0')] ).
cnf(2855,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,u)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ equal(sdtasdt0(u,u),sz0z00)
| equal(u,sz0z00) ),
inference(ssi,[status(thm)],[2854,3]),
[iquote('0:SSi:2854.0,3.0')] ).
cnf(2863,plain,
( ~ aScalar0(u)
| ~ aScalar0(smndt0(u))
| ~ aScalar0(v)
| ~ sdtlseqdt0(sz0z00,v)
| ~ sdtlseqdt0(sz0z00,smndt0(u))
| ~ equal(sdtasdt0(v,v),sdtasdt0(u,u))
| equal(v,smndt0(u)) ),
inference(obv,[status(thm),theory(equality)],[2851]),
[iquote('0:Obv:2851.0')] ).
cnf(2864,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ sdtlseqdt0(sz0z00,v)
| ~ sdtlseqdt0(sz0z00,smndt0(u))
| ~ equal(sdtasdt0(v,v),sdtasdt0(u,u))
| equal(v,smndt0(u)) ),
inference(ssi,[status(thm)],[2863,8]),
[iquote('0:SSi:2863.1,8.1')] ).
cnf(3221,plain,
( ~ aScalar0(u)
| ~ aScalar0(smndt0(u))
| ~ aScalar0(v)
| ~ aScalar0(u)
| ~ aScalar0(w)
| ~ sdtlseqdt0(w,u)
| ~ sdtlseqdt0(v,smndt0(u))
| sdtlseqdt0(sdtpldt0(w,v),sz0z00) ),
inference(spr,[status(thm),theory(equality)],[20,49]),
[iquote('0:SpR:20.1,49.6')] ).
cnf(3240,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(smndt0(u))
| ~ aScalar0(w)
| ~ aScalar0(u)
| ~ sdtlseqdt0(u,w)
| ~ sdtlseqdt0(smndt0(u),v)
| sdtlseqdt0(sz0z00,sdtpldt0(w,v)) ),
inference(spr,[status(thm),theory(equality)],[20,49]),
[iquote('0:SpR:20.1,49.6')] ).
cnf(3267,plain,
( ~ aScalar0(u)
| ~ aScalar0(smndt0(v))
| ~ aScalar0(w)
| ~ aScalar0(v)
| ~ sdtlseqdt0(v,w)
| ~ sdtlseqdt0(smndt0(v),u)
| sdtlseqdt0(sz0z00,sdtpldt0(w,u)) ),
inference(obv,[status(thm),theory(equality)],[3240]),
[iquote('0:Obv:3240.0')] ).
cnf(3268,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| ~ sdtlseqdt0(w,v)
| ~ sdtlseqdt0(smndt0(w),u)
| sdtlseqdt0(sz0z00,sdtpldt0(v,u)) ),
inference(ssi,[status(thm)],[3267,8]),
[iquote('0:SSi:3267.1,8.1')] ).
cnf(3271,plain,
( ~ aScalar0(smndt0(u))
| ~ aScalar0(v)
| ~ aScalar0(u)
| ~ aScalar0(w)
| ~ sdtlseqdt0(w,u)
| ~ sdtlseqdt0(v,smndt0(u))
| sdtlseqdt0(sdtpldt0(w,v),sz0z00) ),
inference(obv,[status(thm),theory(equality)],[3221]),
[iquote('0:Obv:3221.0')] ).
cnf(3272,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| ~ sdtlseqdt0(w,v)
| ~ sdtlseqdt0(u,smndt0(v))
| sdtlseqdt0(sdtpldt0(w,u),sz0z00) ),
inference(ssi,[status(thm)],[3271,8]),
[iquote('0:SSi:3271.0,8.1')] ).
cnf(3593,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(sz0z00)
| ~ aScalar0(w)
| ~ aScalar0(u)
| ~ sdtlseqdt0(u,w)
| ~ sdtlseqdt0(sz0z00,v)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| sdtlseqdt0(sz0z00,sdtasdt0(w,v)) ),
inference(spr,[status(thm),theory(equality)],[16,50]),
[iquote('0:SpR:16.1,50.7')] ).
cnf(3603,plain,
( ~ aScalar0(u)
| ~ aScalar0(sz0z00)
| ~ aScalar0(v)
| ~ aScalar0(w)
| ~ sdtlseqdt0(w,v)
| ~ sdtlseqdt0(sz0z00,u)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| sdtlseqdt0(sz0z00,sdtasdt0(v,u)) ),
inference(obv,[status(thm),theory(equality)],[3593]),
[iquote('0:Obv:3593.0')] ).
cnf(3604,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| ~ sdtlseqdt0(w,v)
| ~ sdtlseqdt0(sz0z00,u)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| sdtlseqdt0(sz0z00,sdtasdt0(v,u)) ),
inference(ssi,[status(thm)],[3603,3]),
[iquote('0:SSi:3603.1,3.0')] ).
cnf(4232,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(smndt0(v))
| ~ aScalar0(u)
| equal(sdtpldt0(smndt0(sdtpldt0(v,smndt0(u))),smndt0(smndt0(v))),u) ),
inference(spr,[status(thm),theory(equality)],[2097,2532]),
[iquote('0:SpR:2097.2,2532.2')] ).
cnf(4272,plain,
( ~ aScalar0(u)
| ~ aScalar0(smndt0(u))
| ~ aScalar0(v)
| equal(sdtpldt0(smndt0(sdtpldt0(u,smndt0(v))),smndt0(smndt0(u))),v) ),
inference(obv,[status(thm),theory(equality)],[4232]),
[iquote('0:Obv:4232.0')] ).
cnf(4273,plain,
( ~ aScalar0(u)
| ~ aScalar0(smndt0(u))
| ~ aScalar0(v)
| equal(sdtpldt0(smndt0(sdtpldt0(u,smndt0(v))),u),v) ),
inference(rew,[status(thm),theory(equality)],[18,4272]),
[iquote('0:Rew:18.1,4272.3')] ).
cnf(4274,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(smndt0(sdtpldt0(u,smndt0(v))),u),v) ),
inference(ssi,[status(thm)],[4273,8]),
[iquote('0:SSi:4273.1,8.1')] ).
cnf(4430,plain,
( ~ aScalar0(smndt0(u))
| ~ aScalar0(v)
| ~ aScalar0(v)
| ~ aScalar0(u)
| equal(sdtpldt0(smndt0(sdtpldt0(smndt0(u),v)),v),u) ),
inference(spr,[status(thm),theory(equality)],[2531,4274]),
[iquote('0:SpR:2531.2,4274.2')] ).
cnf(4443,plain,
( ~ aScalar0(smndt0(u))
| ~ aScalar0(v)
| ~ aScalar0(u)
| equal(sdtpldt0(smndt0(sdtpldt0(smndt0(u),v)),v),u) ),
inference(obv,[status(thm),theory(equality)],[4430]),
[iquote('0:Obv:4430.1')] ).
cnf(4444,plain,
( ~ aScalar0(smndt0(u))
| ~ aScalar0(v)
| ~ aScalar0(u)
| equal(sdtpldt0(smndt0(smndt0(sdtpldt0(u,smndt0(v)))),v),u) ),
inference(rew,[status(thm),theory(equality)],[2097,4443]),
[iquote('0:Rew:2097.2,4443.3')] ).
cnf(4445,plain,
( ~ aScalar0(smndt0(u))
| ~ aScalar0(v)
| ~ aScalar0(u)
| equal(sdtpldt0(sdtpldt0(u,smndt0(v)),v),u) ),
inference(rew,[status(thm),theory(equality)],[2545,4444]),
[iquote('0:Rew:2545.2,4444.3')] ).
cnf(4446,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(sdtpldt0(v,smndt0(u)),u),v) ),
inference(ssi,[status(thm)],[4445,8]),
[iquote('0:SSi:4445.0,8.1')] ).
cnf(4636,plain,
( ~ aScalar0(smndt0(u))
| ~ aScalar0(v)
| ~ aScalar0(u)
| ~ aScalar0(smndt0(v))
| equal(sdtpldt0(smndt0(sdtpldt0(v,smndt0(smndt0(u)))),u),smndt0(v)) ),
inference(spr,[status(thm),theory(equality)],[2097,4446]),
[iquote('0:SpR:2097.2,4446.2')] ).
cnf(4678,plain,
( ~ aScalar0(smndt0(u))
| ~ aScalar0(v)
| ~ aScalar0(u)
| ~ aScalar0(smndt0(v))
| equal(sdtpldt0(smndt0(sdtpldt0(v,u)),u),smndt0(v)) ),
inference(rew,[status(thm),theory(equality)],[18,4636]),
[iquote('0:Rew:18.1,4636.4')] ).
cnf(4679,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtpldt0(smndt0(sdtpldt0(u,v)),v),smndt0(u)) ),
inference(ssi,[status(thm)],[4678,8]),
[iquote('0:SSi:4678.3,4678.0,8.1,8.1')] ).
cnf(5333,plain,
( ~ aScalar0(u)
| ~ aScalar0(smndt0(u))
| ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| equal(sdtasdt0(sdtpldt0(w,v),sz0z00),sdtpldt0(sdtpldt0(sdtasdt0(w,u),sdtasdt0(w,smndt0(u))),sdtpldt0(sdtasdt0(v,u),sdtasdt0(v,smndt0(u))))) ),
inference(spr,[status(thm),theory(equality)],[20,53]),
[iquote('0:SpR:20.1,53.4')] ).
cnf(5427,plain,
( ~ aScalar0(smndt0(u))
| ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| equal(sdtasdt0(sdtpldt0(w,v),sz0z00),sdtpldt0(sdtpldt0(sdtasdt0(w,u),sdtasdt0(w,smndt0(u))),sdtpldt0(sdtasdt0(v,u),sdtasdt0(v,smndt0(u))))) ),
inference(obv,[status(thm),theory(equality)],[5333]),
[iquote('0:Obv:5333.0')] ).
cnf(5428,plain,
( ~ aScalar0(smndt0(u))
| ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| equal(sdtasdt0(sdtpldt0(w,v),sz0z00),sz0z00) ),
inference(rew,[status(thm),theory(equality)],[1589,5427,417,32]),
[iquote('0:Rew:1589.0,5427.4,417.2,5427.4,32.2,5427.4,417.2,5427.4,32.2,5427.4')] ).
cnf(5429,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| equal(sdtasdt0(sdtpldt0(w,v),sz0z00),sz0z00) ),
inference(ssi,[status(thm)],[5428,8]),
[iquote('0:SSi:5428.0,8.1')] ).
cnf(5866,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtasdt0(sdtpldt0(v,u),sz0z00),sz0z00) ),
inference(ems,[status(thm)],[5429,93]),
[iquote('0:EmS:5429.0,93.0')] ).
cnf(6033,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(v)
| ~ aScalar0(smndt0(sdtpldt0(u,v)))
| equal(sdtasdt0(smndt0(u),sz0z00),sz0z00) ),
inference(spr,[status(thm),theory(equality)],[4679,5866]),
[iquote('0:SpR:4679.2,5866.2')] ).
cnf(6044,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(smndt0(sdtpldt0(u,v)))
| equal(sdtasdt0(smndt0(u),sz0z00),sz0z00) ),
inference(obv,[status(thm),theory(equality)],[6033]),
[iquote('0:Obv:6033.1')] ).
cnf(6045,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| equal(sdtasdt0(smndt0(u),sz0z00),sz0z00) ),
inference(ssi,[status(thm)],[6044,8,22]),
[iquote('0:SSi:6044.2,8.2,22.1')] ).
cnf(6087,plain,
( ~ aScalar0(u)
| equal(sdtasdt0(smndt0(u),sz0z00),sz0z00) ),
inference(ems,[status(thm)],[6045,93]),
[iquote('0:EmS:6045.1,93.0')] ).
cnf(9544,plain,
( ~ aScalar0(u)
| ~ aScalar0(smndt0(u))
| ~ aScalar0(u)
| sdtlseqdt0(sz0z00,sdtpldt0(sdtasdt0(u,sz0z00),sdtasdt0(smndt0(u),sz0z00))) ),
inference(spr,[status(thm),theory(equality)],[20,1908]),
[iquote('0:SpR:20.1,1908.2')] ).
cnf(9603,plain,
( ~ aScalar0(smndt0(u))
| ~ aScalar0(u)
| sdtlseqdt0(sz0z00,sdtpldt0(sdtasdt0(u,sz0z00),sdtasdt0(smndt0(u),sz0z00))) ),
inference(obv,[status(thm),theory(equality)],[9544]),
[iquote('0:Obv:9544.0')] ).
cnf(9604,plain,
( ~ aScalar0(smndt0(u))
| ~ aScalar0(u)
| sdtlseqdt0(sz0z00,sz0z00) ),
inference(rew,[status(thm),theory(equality)],[1589,9603,16,6087]),
[iquote('0:Rew:1589.0,9603.2,16.1,9603.2,6087.1,9603.2')] ).
cnf(9605,plain,
( ~ aScalar0(u)
| sdtlseqdt0(sz0z00,sz0z00) ),
inference(ssi,[status(thm)],[9604,8]),
[iquote('0:SSi:9604.0,8.1')] ).
cnf(9606,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,u)
| ~ equal(sdtasdt0(u,u),sz0z00)
| equal(u,sz0z00) ),
inference(mrr,[status(thm)],[2855,9605]),
[iquote('0:MRR:2855.2,9605.1')] ).
cnf(9607,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(w)
| ~ sdtlseqdt0(w,v)
| ~ sdtlseqdt0(sz0z00,u)
| sdtlseqdt0(sz0z00,sdtasdt0(v,u)) ),
inference(mrr,[status(thm)],[3604,9605]),
[iquote('0:MRR:3604.5,9605.1')] ).
cnf(9805,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(ems,[status(thm)],[9605,93]),
[iquote('0:EmS:9605.0,93.0')] ).
cnf(9920,plain,
( ~ aScalar0(u)
| ~ aScalar0(smndt0(u))
| ~ aScalar0(smndt0(u))
| ~ sdtlseqdt0(sz0z00,smndt0(u))
| ~ equal(smndt0(sdtasdt0(smndt0(u),u)),sz0z00)
| equal(smndt0(u),sz0z00) ),
inference(spl,[status(thm),theory(equality)],[32,9606]),
[iquote('0:SpL:32.2,9606.2')] ).
cnf(9928,plain,
( ~ aScalar0(u)
| ~ aScalar0(smndt0(u))
| ~ sdtlseqdt0(sz0z00,smndt0(u))
| ~ equal(smndt0(sdtasdt0(smndt0(u),u)),sz0z00)
| equal(smndt0(u),sz0z00) ),
inference(obv,[status(thm),theory(equality)],[9920]),
[iquote('0:Obv:9920.1')] ).
cnf(9929,plain,
( ~ aScalar0(u)
| ~ aScalar0(smndt0(u))
| ~ sdtlseqdt0(sz0z00,smndt0(u))
| ~ equal(smndt0(sdtasdt0(u,smndt0(u))),sz0z00)
| equal(smndt0(u),sz0z00) ),
inference(rew,[status(thm),theory(equality)],[304,9928]),
[iquote('0:Rew:304.2,9928.3')] ).
cnf(9930,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,smndt0(u))
| ~ equal(smndt0(sdtasdt0(u,smndt0(u))),sz0z00)
| equal(smndt0(u),sz0z00) ),
inference(ssi,[status(thm)],[9929,8]),
[iquote('0:SSi:9929.1,8.1')] ).
cnf(15800,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(u)
| ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,v)
| sdtlseqdt0(sz0z00,sdtasdt0(u,v)) ),
inference(res,[status(thm),theory(equality)],[9,9607]),
[iquote('0:Res:9.1,9607.3')] ).
cnf(15829,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ sdtlseqdt0(sz0z00,u)
| sdtlseqdt0(sz0z00,sdtasdt0(v,u)) ),
inference(obv,[status(thm),theory(equality)],[15800]),
[iquote('0:Obv:15800.2')] ).
cnf(21748,plain,
( ~ aScalar0(smndt0(u))
| ~ aScalar0(smndt0(u))
| ~ aScalar0(v)
| ~ aScalar0(u)
| ~ sdtlseqdt0(u,v)
| sdtlseqdt0(sz0z00,sdtpldt0(v,smndt0(u))) ),
inference(res,[status(thm),theory(equality)],[9,3268]),
[iquote('0:Res:9.1,3268.4')] ).
cnf(21771,plain,
( ~ aScalar0(smndt0(u))
| ~ aScalar0(v)
| ~ aScalar0(u)
| ~ sdtlseqdt0(u,v)
| sdtlseqdt0(sz0z00,sdtpldt0(v,smndt0(u))) ),
inference(obv,[status(thm),theory(equality)],[21748]),
[iquote('0:Obv:21748.0')] ).
cnf(21772,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ sdtlseqdt0(v,u)
| sdtlseqdt0(sz0z00,sdtpldt0(u,smndt0(v))) ),
inference(ssi,[status(thm)],[21771,8]),
[iquote('0:SSi:21771.0,8.1')] ).
cnf(21829,plain,
( ~ aScalar0(u)
| ~ aScalar0(sz0z00)
| ~ aScalar0(u)
| ~ sdtlseqdt0(u,sz0z00)
| sdtlseqdt0(sz0z00,smndt0(u)) ),
inference(spr,[status(thm),theory(equality)],[2145,21772]),
[iquote('0:SpR:2145.1,21772.3')] ).
cnf(21832,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ aScalar0(sdtpldt0(v,u))
| ~ aScalar0(u)
| ~ sdtlseqdt0(u,sdtpldt0(v,u))
| sdtlseqdt0(sz0z00,v) ),
inference(spr,[status(thm),theory(equality)],[2653,21772]),
[iquote('0:SpR:2653.2,21772.3')] ).
cnf(21850,plain,
( ~ aScalar0(sz0z00)
| ~ aScalar0(u)
| ~ sdtlseqdt0(u,sz0z00)
| sdtlseqdt0(sz0z00,smndt0(u)) ),
inference(obv,[status(thm),theory(equality)],[21829]),
[iquote('0:Obv:21829.0')] ).
cnf(21851,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(u,sz0z00)
| sdtlseqdt0(sz0z00,smndt0(u)) ),
inference(ssi,[status(thm)],[21850,3]),
[iquote('0:SSi:21850.0,3.0')] ).
cnf(21856,plain,
( ~ aScalar0(u)
| ~ aScalar0(sdtpldt0(u,v))
| ~ aScalar0(v)
| ~ sdtlseqdt0(v,sdtpldt0(u,v))
| sdtlseqdt0(sz0z00,u) ),
inference(obv,[status(thm),theory(equality)],[21832]),
[iquote('0:Obv:21832.0')] ).
cnf(21857,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ sdtlseqdt0(v,sdtpldt0(u,v))
| sdtlseqdt0(sz0z00,u) ),
inference(ssi,[status(thm)],[21856,22]),
[iquote('0:SSi:21856.1,22.2')] ).
cnf(22159,plain,
( ~ aScalar0(sdtpldt0(u,sdtasasdt0(skc1,skc1)))
| ~ aScalar0(u)
| ~ aScalar0(sdtasasdt0(skc1,skc1))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(u,sdtasasdt0(skc1,skc1)))
| sdtlseqdt0(sz0z00,u) ),
inference(res,[status(thm),theory(equality)],[196,21857]),
[iquote('0:Res:196.2,21857.2')] ).
cnf(22186,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,sdtpldt0(u,sdtasasdt0(skc1,skc1)))
| sdtlseqdt0(sz0z00,u) ),
inference(ssi,[status(thm)],[22159,93,22]),
[iquote('0:SSi:22159.2,22159.0,93.0,22.2,93.0')] ).
cnf(22218,plain,
( ~ aScalar0(sdtasasdt0(skc1,skc1))
| ~ aScalar0(smndt0(sdtasasdt0(skc1,skc1)))
| ~ sdtlseqdt0(sz0z00,sz0z00)
| sdtlseqdt0(sz0z00,smndt0(sdtasasdt0(skc1,skc1))) ),
inference(spl,[status(thm),theory(equality)],[21,22186]),
[iquote('0:SpL:21.1,22186.1')] ).
cnf(22230,plain,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| sdtlseqdt0(sz0z00,smndt0(sdtasasdt0(skc1,skc1))) ),
inference(ssi,[status(thm)],[22218,8,93]),
[iquote('0:SSi:22218.1,22218.0,8.0,93.0,93.1')] ).
cnf(22231,plain,
sdtlseqdt0(sz0z00,smndt0(sdtasasdt0(skc1,skc1))),
inference(mrr,[status(thm)],[22230,9805]),
[iquote('0:MRR:22230.0,9805.0')] ).
cnf(22273,plain,
( ~ aScalar0(smndt0(u))
| ~ aScalar0(smndt0(u))
| ~ aScalar0(u)
| ~ aScalar0(v)
| ~ sdtlseqdt0(v,u)
| sdtlseqdt0(sdtpldt0(v,smndt0(u)),sz0z00) ),
inference(res,[status(thm),theory(equality)],[9,3272]),
[iquote('0:Res:9.1,3272.4')] ).
cnf(22291,plain,
( ~ aScalar0(smndt0(u))
| ~ aScalar0(u)
| ~ aScalar0(v)
| ~ sdtlseqdt0(v,u)
| sdtlseqdt0(sdtpldt0(v,smndt0(u)),sz0z00) ),
inference(obv,[status(thm),theory(equality)],[22273]),
[iquote('0:Obv:22273.0')] ).
cnf(22292,plain,
( ~ aScalar0(u)
| ~ aScalar0(v)
| ~ sdtlseqdt0(v,u)
| sdtlseqdt0(sdtpldt0(v,smndt0(u)),sz0z00) ),
inference(ssi,[status(thm)],[22291,8]),
[iquote('0:SSi:22291.0,8.1')] ).
cnf(27692,plain,
( ~ aScalar0(u)
| ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,u)
| ~ sdtlseqdt0(sz0z00,smndt0(u))
| equal(smndt0(u),u) ),
inference(eqr,[status(thm),theory(equality)],[2864]),
[iquote('0:EqR:2864.4')] ).
cnf(27729,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,u)
| ~ sdtlseqdt0(sz0z00,smndt0(u))
| equal(smndt0(u),u) ),
inference(obv,[status(thm),theory(equality)],[27692]),
[iquote('0:Obv:27692.0')] ).
cnf(27897,plain,
( ~ aScalar0(u)
| ~ aScalar0(u)
| ~ sdtlseqdt0(u,sz0z00)
| ~ sdtlseqdt0(sz0z00,u)
| equal(smndt0(u),u) ),
inference(res,[status(thm),theory(equality)],[21851,27729]),
[iquote('0:Res:21851.2,27729.2')] ).
cnf(27917,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(u,sz0z00)
| ~ sdtlseqdt0(sz0z00,u)
| equal(smndt0(u),u) ),
inference(obv,[status(thm),theory(equality)],[27897]),
[iquote('0:Obv:27897.0')] ).
cnf(28022,plain,
( ~ aScalar0(smndt0(u))
| ~ aScalar0(u)
| ~ sdtlseqdt0(smndt0(u),sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(u))
| equal(smndt0(u),u) ),
inference(spr,[status(thm),theory(equality)],[27917,18]),
[iquote('0:SpR:27917.3,18.1')] ).
cnf(28219,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(smndt0(u),sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(u))
| equal(smndt0(u),u) ),
inference(ssi,[status(thm)],[28022,8]),
[iquote('0:SSi:28022.0,8.1')] ).
cnf(38124,plain,
( ~ aScalar0(u)
| ~ aScalar0(u)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,u)
| sdtlseqdt0(smndt0(u),sz0z00) ),
inference(spr,[status(thm),theory(equality)],[2145,22292]),
[iquote('0:SpR:2145.1,22292.3')] ).
cnf(38154,plain,
( ~ aScalar0(u)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,u)
| sdtlseqdt0(smndt0(u),sz0z00) ),
inference(obv,[status(thm),theory(equality)],[38124]),
[iquote('0:Obv:38124.0')] ).
cnf(38155,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,u)
| sdtlseqdt0(smndt0(u),sz0z00) ),
inference(ssi,[status(thm)],[38154,3]),
[iquote('0:SSi:38154.1,3.0')] ).
cnf(38222,plain,
( ~ aScalar0(sdtasdt0(u,smndt0(u)))
| ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,sdtasdt0(u,smndt0(u)))
| equal(sdtasdt0(u,smndt0(u)),sz0z00) ),
inference(res,[status(thm),theory(equality)],[38155,913]),
[iquote('0:Res:38155.2,913.1')] ).
cnf(38246,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,sdtasdt0(u,smndt0(u)))
| equal(sdtasdt0(u,smndt0(u)),sz0z00) ),
inference(ssi,[status(thm)],[38222,23,8]),
[iquote('0:SSi:38222.0,23.1,8.2')] ).
cnf(49213,plain,
( ~ aScalar0(smndt0(u))
| ~ aScalar0(u)
| ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,smndt0(u))
| equal(sdtasdt0(u,smndt0(u)),sz0z00) ),
inference(res,[status(thm),theory(equality)],[15829,38246]),
[iquote('0:Res:15829.3,38246.1')] ).
cnf(49219,plain,
( ~ aScalar0(smndt0(u))
| ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,smndt0(u))
| equal(sdtasdt0(u,smndt0(u)),sz0z00) ),
inference(obv,[status(thm),theory(equality)],[49213]),
[iquote('0:Obv:49213.1')] ).
cnf(49220,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,smndt0(u))
| equal(sdtasdt0(u,smndt0(u)),sz0z00) ),
inference(ssi,[status(thm)],[49219,8]),
[iquote('0:SSi:49219.0,8.1')] ).
cnf(49228,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,smndt0(u))
| ~ equal(smndt0(sz0z00),sz0z00)
| equal(smndt0(u),sz0z00) ),
inference(rew,[status(thm),theory(equality)],[49220,9930]),
[iquote('0:Rew:49220.2,9930.2')] ).
cnf(49236,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,smndt0(u))
| ~ equal(sz0z00,sz0z00)
| equal(smndt0(u),sz0z00) ),
inference(rew,[status(thm),theory(equality)],[137,49228]),
[iquote('0:Rew:137.0,49228.2')] ).
cnf(49237,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,smndt0(u))
| equal(smndt0(u),sz0z00) ),
inference(obv,[status(thm),theory(equality)],[49236]),
[iquote('0:Obv:49236.2')] ).
cnf(49296,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(u))
| equal(smndt0(u),u) ),
inference(rew,[status(thm),theory(equality)],[49237,28219]),
[iquote('0:Rew:49237.2,28219.1')] ).
cnf(49343,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,smndt0(u))
| equal(sz0z00,u) ),
inference(rew,[status(thm),theory(equality)],[49237,49296]),
[iquote('0:Rew:49237.2,49296.3')] ).
cnf(49344,plain,
( ~ aScalar0(u)
| ~ sdtlseqdt0(sz0z00,smndt0(u))
| equal(sz0z00,u) ),
inference(mrr,[status(thm)],[49343,9805]),
[iquote('0:MRR:49343.1,9805.0')] ).
cnf(49587,plain,
( ~ aScalar0(sdtasasdt0(skc1,skc1))
| equal(sdtasasdt0(skc1,skc1),sz0z00) ),
inference(res,[status(thm),theory(equality)],[22231,49344]),
[iquote('0:Res:22231.0,49344.1')] ).
cnf(49614,plain,
equal(sdtasasdt0(skc1,skc1),sz0z00),
inference(ssi,[status(thm)],[49587,93]),
[iquote('0:SSi:49587.0,93.0')] ).
cnf(49681,plain,
~ sdtlseqdt0(sz0z00,sz0z00),
inference(rew,[status(thm),theory(equality)],[49614,6]),
[iquote('0:Rew:49614.0,6.0')] ).
cnf(50726,plain,
$false,
inference(mrr,[status(thm)],[49681,9805]),
[iquote('0:MRR:49681.0,9805.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : RNG048+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon May 30 22:08:27 EDT 2022
% 0.13/0.35 % CPUTime :
% 157.83/158.10
% 157.83/158.10 SPASS V 3.9
% 157.83/158.10 SPASS beiseite: Proof found.
% 157.83/158.10 % SZS status Theorem
% 157.83/158.10 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 157.83/158.10 SPASS derived 25474 clauses, backtracked 179 clauses, performed 3 splits and kept 6972 clauses.
% 157.83/158.10 SPASS allocated 165440 KBytes.
% 157.83/158.10 SPASS spent 0:2:37.69 on the problem.
% 157.83/158.10 0:00:00.04 for the input.
% 157.83/158.10 0:00:00.04 for the FLOTTER CNF translation.
% 157.83/158.10 0:00:00.31 for inferences.
% 157.83/158.10 0:00:00.22 for the backtracking.
% 157.83/158.10 0:2:36.94 for the reduction.
% 157.83/158.10
% 157.83/158.10
% 157.83/158.10 Here is a proof with depth 9, length 211 :
% 157.83/158.10 % SZS output start Refutation
% See solution above
% 203.37/203.61 Formulae used in the proof : m__ mSZeroSc mNegSc mLERef mScZero mSqPos mSumSc mMulSc mLETot mArith mMNeg mMDNeg mScPr mLEASm mLETrn mDistr mSqrt mLEMon mLEMonM mDistr2
% 203.37/203.61
%------------------------------------------------------------------------------