TSTP Solution File: NUM450+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM450+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 14:26:19 EDT 2022
% Result : CounterSatisfiable 11.10s 11.33s
% Output : Saturation 14.91s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 2228)
% Comments :
%------------------------------------------------------------------------------
cnf(26808,plain,
( ~ aSet0(u)
| ~ aSet0(skf16(v,w))
| ~ aSet0(v)
| ~ aInteger0(skf21(skf19(skf16(v,w),u),skf16(v,w)))
| equal(u,sbsmnsldt0(skf16(v,w)))
| aElementOf0(skf19(skf16(v,w),u),u)
| skP3(v,skf21(skf19(skf16(v,w),u),skf16(v,w))) ),
inference(res,[status(thm),theory(equality)],[2229,26279]),
[iquote('30:Res:2229.4,26279.2')] ).
cnf(26273,plain,
( ~ aSet0(skf21(skf19(u,v),u))
| ~ aSet0(v)
| ~ aSet0(u)
| ~ aInteger0(skf16(skf21(skf19(u,v),u),w))
| equal(v,sbsmnsldt0(u))
| aElementOf0(skf19(u,v),v)
| skP3(u,skf16(skf21(skf19(u,v),u),w)) ),
inference(res,[status(thm),theory(equality)],[26243,2815]),
[iquote('30:Res:26243.1,2815.3')] ).
cnf(2813,plain,
( ~ aSet0(u)
| ~ aSet0(skf21(sz00,v))
| ~ aSet0(v)
| ~ aInteger0(skf21(skf19(skf21(sz00,v),u),skf21(sz00,v)))
| equal(u,sbsmnsldt0(skf21(sz00,v)))
| aElementOf0(skf19(skf21(sz00,v),u),u)
| skP3(v,skf21(skf19(skf21(sz00,v),u),skf21(sz00,v))) ),
inference(res,[status(thm),theory(equality)],[2229,1457]),
[iquote('15:Res:2229.4,1457.2')] ).
cnf(19090,plain,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aInteger0(skf21(skf19(v,u),v))
| ~ aElementOf0(v,sz00)
| equal(u,sbsmnsldt0(v))
| aElementOf0(skf19(v,u),u)
| equal(skf21(skf21(skf19(v,u),v),sz00),sz00) ),
inference(res,[status(thm),theory(equality)],[2229,19002]),
[iquote('19:Res:2229.4,19002.1')] ).
cnf(26809,plain,
( ~ skP2(u)
| ~ aSet0(skf16(v,w))
| ~ aSet0(v)
| ~ aInteger0(skf19(u,skf16(v,w)))
| equal(skf16(v,w),sz00)
| skP3(v,skf19(u,skf16(v,w))) ),
inference(res,[status(thm),theory(equality)],[6371,26279]),
[iquote('30:Res:6371.3,26279.2')] ).
cnf(26804,plain,
( ~ isFinite0(skf16(u,v))
| ~ aSet0(skf16(u,v))
| ~ aSet0(u)
| ~ aInteger0(skf28(skf16(u,v)))
| isClosed0(sbsmnsldt0(skf16(u,v)))
| skP3(u,skf28(skf16(u,v))) ),
inference(res,[status(thm),theory(equality)],[48,26279]),
[iquote('30:Res:48.3,26279.2')] ).
cnf(6999,plain,
( ~ aInteger0(skf19(skf21(u,v),w))
| ~ skP2(skf21(u,v))
| ~ aSet0(w)
| ~ aElementOf0(u,sz00)
| ~ aElementOf0(skf19(skf21(u,v),w),u)
| equal(w,sz00) ),
inference(mrr,[status(thm)],[6591,6993]),
[iquote('19:MRR:6591.0,6993.2')] ).
cnf(6519,plain,
( ~ skP2(u)
| ~ aSet0(skf21(sz00,v))
| ~ aSet0(v)
| ~ aInteger0(skf19(u,skf21(sz00,v)))
| equal(skf21(sz00,v),sz00)
| skP3(v,skf19(u,skf21(sz00,v))) ),
inference(rew,[status(thm),theory(equality)],[6348,2890]),
[iquote('19:Rew:6348.1,2890.4')] ).
cnf(26274,plain,
( ~ aSet0(skf19(u,v))
| ~ skP2(u)
| ~ aSet0(v)
| ~ aInteger0(skf16(skf19(u,v),w))
| equal(v,sz00)
| skP3(v,skf16(skf19(u,v),w)) ),
inference(res,[status(thm),theory(equality)],[26243,6369]),
[iquote('30:Res:26243.1,6369.3')] ).
cnf(26803,plain,
( ~ aSet0(skf16(u,v))
| ~ aSet0(u)
| ~ aInteger0(skf27(skf16(u,v)))
| isOpen0(sbsmnsldt0(skf16(u,v)))
| skP3(u,skf27(skf16(u,v))) ),
inference(res,[status(thm),theory(equality)],[38,26279]),
[iquote('30:Res:38.2,26279.2')] ).
cnf(26281,plain,
( ~ aSet0(skf28(u))
| ~ isFinite0(u)
| ~ aSet0(u)
| ~ aInteger0(skf16(skf28(u),v))
| isClosed0(sbsmnsldt0(u))
| skP3(u,skf16(skf28(u),v)) ),
inference(res,[status(thm),theory(equality)],[26243,296]),
[iquote('30:Res:26243.1,296.3')] ).
cnf(26801,plain,
( ~ aSet0(u)
| ~ aInteger0(skf21(v,skf16(u,w)))
| ~ skP3(skf16(u,w),v)
| skP3(u,skf21(v,skf16(u,w))) ),
inference(res,[status(thm),theory(equality)],[27,26279]),
[iquote('30:Res:27.1,26279.2')] ).
cnf(1693,plain,
( ~ isFinite0(skf21(sz00,u))
| ~ aSet0(skf21(sz00,u))
| ~ aSet0(u)
| ~ aInteger0(skf28(skf21(sz00,u)))
| isClosed0(sbsmnsldt0(skf21(sz00,u)))
| skP3(u,skf28(skf21(sz00,u))) ),
inference(res,[status(thm),theory(equality)],[48,1457]),
[iquote('15:Res:48.3,1457.2')] ).
cnf(26310,plain,
( ~ aSet0(skf21(u,v))
| ~ aInteger0(skf16(skf21(u,v),w))
| ~ skP3(v,u)
| skP3(v,skf16(skf21(u,v),w)) ),
inference(res,[status(thm),theory(equality)],[26243,293]),
[iquote('30:Res:26243.1,293.2')] ).
cnf(26805,plain,
( ~ aSet0(skf16(u,v))
| ~ aSet0(u)
| ~ aInteger0(skf16(skf16(u,v),w))
| skP3(u,skf16(skf16(u,v),w)) ),
inference(res,[status(thm),theory(equality)],[26243,26279]),
[iquote('30:Res:26243.1,26279.2')] ).
cnf(26802,plain,
( ~ aSet0(skf16(u,v))
| ~ aSet0(u)
| ~ aInteger0(skf21(sz00,skf16(u,v)))
| skP3(u,skf21(sz00,skf16(u,v))) ),
inference(res,[status(thm),theory(equality)],[1445,26279]),
[iquote('30:Res:1445.1,26279.2')] ).
cnf(26280,plain,
( ~ aSet0(skf27(u))
| ~ aSet0(u)
| ~ aInteger0(skf16(skf27(u),v))
| isOpen0(sbsmnsldt0(u))
| skP3(u,skf16(skf27(u),v)) ),
inference(res,[status(thm),theory(equality)],[26243,294]),
[iquote('30:Res:26243.1,294.2')] ).
cnf(9000,plain,
( ~ aSet0(skf21(skf19(u,v),u))
| ~ aSet0(v)
| ~ aSet0(u)
| ~ aInteger0(skf21(sz00,skf21(skf19(u,v),u)))
| equal(v,sbsmnsldt0(u))
| aElementOf0(skf19(u,v),v)
| skP3(u,skf21(sz00,skf21(skf19(u,v),u))) ),
inference(res,[status(thm),theory(equality)],[1445,2815]),
[iquote('15:Res:1445.1,2815.3')] ).
cnf(26276,plain,
( ~ aSet0(skf21(sz00,u))
| ~ aSet0(u)
| ~ aInteger0(skf16(skf21(sz00,u),v))
| skP3(u,skf16(skf21(sz00,u),v)) ),
inference(res,[status(thm),theory(equality)],[26243,1457]),
[iquote('30:Res:26243.1,1457.2')] ).
cnf(26309,plain,
( ~ aSet0(u)
| ~ aInteger0(skf16(u,v))
| ~ aElementOf0(u,sz00)
| equal(skf21(skf16(u,v),sz00),sz00) ),
inference(res,[status(thm),theory(equality)],[26243,19002]),
[iquote('30:Res:26243.1,19002.1')] ).
cnf(26279,plain,
( ~ aSet0(u)
| ~ aInteger0(v)
| ~ aElementOf0(v,skf16(u,w))
| skP3(u,v) ),
inference(res,[status(thm),theory(equality)],[26243,56]),
[iquote('30:Res:26243.1,56.1')] ).
cnf(26325,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| aElementOf0(skf16(v,w),u) ),
inference(mrr,[status(thm)],[26278,25]),
[iquote('30:MRR:26278.0,25.2')] ).
cnf(26647,plain,
( ~ aSet0(u)
| ~ equal(v,sz00)
| aSubsetOf0(v,sbsmnsldt0(u)) ),
inference(mrr,[status(thm)],[26640,6782,1238]),
[iquote('30:MRR:26640.1,26640.3,6782.1,1238.0')] ).
cnf(26646,plain,
( ~ aSet0(u)
| ~ equal(v,sz00)
| aSubsetOf0(v,u) ),
inference(mrr,[status(thm)],[26639,6782,1106]),
[iquote('30:MRR:26639.1,26639.3,6782.1,1106.1')] ).
cnf(26703,plain,
( ~ equal(u,sz00)
| equal(skf20(u),sz00)
| skP2(u) ),
inference(ems,[status(thm)],[205,26685]),
[iquote('30:EmS:205.0,26685.2')] ).
cnf(26645,plain,
( ~ equal(u,sz00)
| aSubsetOf0(u,sz00) ),
inference(mrr,[status(thm)],[26643,6782,1238]),
[iquote('30:MRR:26643.0,26643.2,6782.1,1238.0')] ).
cnf(26549,plain,
( ~ equal(u,sz00)
| equal(skf16(u,v),sz00) ),
inference(ems,[status(thm)],[205,26528]),
[iquote('30:EmS:205.0,26528.1')] ).
cnf(26461,plain,
aSubsetOf0(sz00,sz00),
inference(ems,[status(thm)],[26456,6804]),
[iquote('30:EmS:26456.0,6804.0')] ).
cnf(26323,plain,
( ~ aSet0(u)
| aSubsetOf0(sz00,sbsmnsldt0(u)) ),
inference(ssi,[status(thm)],[26322,1,6787,6804,6886,8414]),
[iquote('30:SSi:26322.1,1.0,6787.0,6804.0,6886.0,8414.0')] ).
cnf(26358,plain,
equal(skf16(sz00,u),sz00),
inference(ems,[status(thm)],[205,26317]),
[iquote('30:EmS:205.0,26317.0')] ).
cnf(26243,plain,
( ~ aSet0(u)
| aElementOf0(skf16(u,v),u) ),
inference(spt,[],[23803]),
[iquote('30:Spt:23803.1,23803.2')] ).
cnf(25516,plain,
skP3(skf21(sz00,u),sz00),
inference(spt,[],[25459]),
[iquote('29:Spt:25459.1')] ).
cnf(21693,plain,
( ~ equal(u,sz00)
| aInteger0(u)
| skP2(u) ),
inference(spt,[],[21689]),
[iquote('25:Spt:21689.1,21689.4,21689.5')] ).
cnf(6496,plain,
( ~ aSet0(skf19(u,v))
| ~ skP2(u)
| ~ aSet0(v)
| ~ aInteger0(skf21(sz00,skf19(u,v)))
| equal(v,sz00)
| skP3(v,skf21(sz00,skf19(u,v))) ),
inference(rew,[status(thm),theory(equality)],[6348,4745]),
[iquote('19:Rew:6348.1,4745.4')] ).
cnf(6453,plain,
( ~ aSet0(u)
| ~ aSet0(skf19(v,w))
| ~ skP2(v)
| ~ aSet0(w)
| ~ aInteger0(skf21(skf19(skf19(v,w),u),skf19(v,w)))
| equal(u,sbsmnsldt0(skf19(v,w)))
| aElementOf0(skf19(skf19(v,w),u),u)
| equal(w,sz00)
| skP3(w,skf21(skf19(skf19(v,w),u),skf19(v,w))) ),
inference(rew,[status(thm),theory(equality)],[6348,4768]),
[iquote('19:Rew:6348.1,4768.7')] ).
cnf(19092,plain,
( ~ skP2(u)
| ~ aSet0(v)
| ~ aInteger0(skf19(u,v))
| ~ aElementOf0(v,sz00)
| equal(v,sz00)
| equal(skf21(skf19(u,v),sz00),sz00) ),
inference(res,[status(thm),theory(equality)],[6371,19002]),
[iquote('19:Res:6371.3,19002.1')] ).
cnf(18925,plain,
( ~ aInteger0(u)
| ~ equal(skf21(v,w),sz00)
| ~ aElementOf0(u,v)
| ~ aElementOf0(v,sz00)
| equal(skf21(u,skf21(v,w)),sz00) ),
inference(ems,[status(thm)],[205,18921]),
[iquote('19:EmS:205.0,18921.4')] ).
cnf(19061,plain,
( ~ isFinite0(u)
| ~ aSet0(u)
| ~ aInteger0(skf28(u))
| ~ aElementOf0(u,sz00)
| isClosed0(sbsmnsldt0(u))
| equal(skf21(skf28(u),sz00),sz00) ),
inference(res,[status(thm),theory(equality)],[48,19002]),
[iquote('19:Res:48.3,19002.1')] ).
cnf(6713,plain,
( ~ skP2(u)
| ~ aSet0(skf19(v,w))
| ~ skP2(v)
| ~ aSet0(w)
| ~ aInteger0(skf19(u,skf19(v,w)))
| equal(skf19(v,w),sz00)
| equal(w,sz00)
| skP3(w,skf19(u,skf19(v,w))) ),
inference(rew,[status(thm),theory(equality)],[6348,6454]),
[iquote('19:Rew:6348.1,6454.5')] ).
cnf(19058,plain,
( ~ aInteger0(skf21(u,v))
| ~ skP3(v,u)
| ~ aElementOf0(v,sz00)
| equal(skf21(skf21(u,v),sz00),sz00) ),
inference(res,[status(thm),theory(equality)],[27,19002]),
[iquote('19:Res:27.1,19002.1')] ).
cnf(19060,plain,
( ~ aSet0(u)
| ~ aInteger0(skf27(u))
| ~ aElementOf0(u,sz00)
| isOpen0(sbsmnsldt0(u))
| equal(skf21(skf27(u),sz00),sz00) ),
inference(res,[status(thm),theory(equality)],[38,19002]),
[iquote('19:Res:38.2,19002.1')] ).
cnf(19059,plain,
( ~ aSet0(u)
| ~ aInteger0(skf21(sz00,u))
| ~ aElementOf0(u,sz00)
| equal(skf21(skf21(sz00,u),sz00),sz00) ),
inference(res,[status(thm),theory(equality)],[1445,19002]),
[iquote('19:Res:1445.1,19002.1')] ).
cnf(6493,plain,
( ~ isFinite0(skf19(u,v))
| ~ aSet0(skf19(u,v))
| ~ skP2(u)
| ~ aSet0(v)
| ~ aInteger0(skf28(skf19(u,v)))
| isClosed0(sbsmnsldt0(skf19(u,v)))
| equal(v,sz00)
| skP3(v,skf28(skf19(u,v))) ),
inference(rew,[status(thm),theory(equality)],[6348,4747]),
[iquote('19:Rew:6348.1,4747.6')] ).
cnf(19002,plain,
( ~ aInteger0(u)
| ~ aElementOf0(u,v)
| ~ aElementOf0(v,sz00)
| equal(skf21(u,sz00),sz00) ),
inference(ems,[status(thm)],[205,18984]),
[iquote('19:EmS:205.0,18984.3')] ).
cnf(18647,plain,
( ~ aSet0(u)
| ~ aInteger0(skf21(v,skf21(sz00,u)))
| ~ aElementOf0(v,sz00)
| ~ equal(skf21(sz00,u),sz00)
| skP3(u,skf21(v,skf21(sz00,u))) ),
inference(mrr,[status(thm)],[18632,7259,1238]),
[iquote('19:MRR:18632.0,18632.3,7259.1,1238.0')] ).
cnf(18529,plain,
( ~ aInteger0(u)
| ~ aSet0(skf21(v,w))
| ~ aElementOf0(v,sz00)
| ~ aElementOf0(u,v)
| aElementOf0(skf21(u,skf21(v,w)),skf21(v,w)) ),
inference(obv,[status(thm),theory(equality)],[18511]),
[iquote('19:Obv:18511.0')] ).
cnf(7275,plain,
( ~ aInteger0(u)
| ~ aSet0(v)
| ~ aElementOf0(w,sz00)
| ~ aElementOf0(u,w)
| ~ aSubsetOf0(skf21(w,x),v)
| aElementOf0(skf21(u,skf21(w,x)),v) ),
inference(mrr,[status(thm)],[2530,7259]),
[iquote('19:MRR:2530.0,7259.1')] ).
cnf(6494,plain,
( ~ aSet0(skf19(u,v))
| ~ skP2(u)
| ~ aSet0(v)
| ~ aInteger0(skf27(skf19(u,v)))
| isOpen0(sbsmnsldt0(skf19(u,v)))
| equal(v,sz00)
| skP3(v,skf27(skf19(u,v))) ),
inference(rew,[status(thm),theory(equality)],[6348,4746]),
[iquote('19:Rew:6348.1,4746.5')] ).
cnf(6495,plain,
( ~ skP2(u)
| ~ aSet0(v)
| ~ aInteger0(skf21(w,skf19(u,v)))
| ~ skP3(skf19(u,v),w)
| equal(v,sz00)
| skP3(v,skf21(w,skf19(u,v))) ),
inference(rew,[status(thm),theory(equality)],[6348,4744]),
[iquote('19:Rew:6348.1,4744.4')] ).
cnf(9020,plain,
( ~ aSet0(u)
| ~ aSet0(skf21(skf19(v,w),v))
| ~ aSet0(w)
| ~ aSet0(v)
| ~ aInteger0(skf21(skf19(skf21(skf19(v,w),v),u),skf21(skf19(v,w),v)))
| equal(u,sbsmnsldt0(skf21(skf19(v,w),v)))
| aElementOf0(skf19(skf21(skf19(v,w),v),u),u)
| equal(w,sbsmnsldt0(v))
| aElementOf0(skf19(v,w),w)
| skP3(v,skf21(skf19(skf21(skf19(v,w),v),u),skf21(skf19(v,w),v))) ),
inference(res,[status(thm),theory(equality)],[2229,2815]),
[iquote('9:Res:2229.4,2815.3')] ).
cnf(9002,plain,
( ~ isFinite0(skf21(skf19(u,v),u))
| ~ aSet0(skf21(skf19(u,v),u))
| ~ aSet0(v)
| ~ aSet0(u)
| ~ aInteger0(skf28(skf21(skf19(u,v),u)))
| isClosed0(sbsmnsldt0(skf21(skf19(u,v),u)))
| equal(v,sbsmnsldt0(u))
| aElementOf0(skf19(u,v),v)
| skP3(u,skf28(skf21(skf19(u,v),u))) ),
inference(res,[status(thm),theory(equality)],[48,2815]),
[iquote('9:Res:48.3,2815.3')] ).
cnf(9021,plain,
( ~ skP2(u)
| ~ aSet0(skf21(skf19(v,w),v))
| ~ aSet0(w)
| ~ aSet0(v)
| ~ aInteger0(skf19(u,skf21(skf19(v,w),v)))
| equal(skf21(skf19(v,w),v),sz00)
| equal(w,sbsmnsldt0(v))
| aElementOf0(skf19(v,w),w)
| skP3(v,skf19(u,skf21(skf19(v,w),v))) ),
inference(res,[status(thm),theory(equality)],[6371,2815]),
[iquote('19:Res:6371.3,2815.3')] ).
cnf(9001,plain,
( ~ aSet0(skf21(skf19(u,v),u))
| ~ aSet0(v)
| ~ aSet0(u)
| ~ aInteger0(skf27(skf21(skf19(u,v),u)))
| isOpen0(sbsmnsldt0(skf21(skf19(u,v),u)))
| equal(v,sbsmnsldt0(u))
| aElementOf0(skf19(u,v),v)
| skP3(u,skf27(skf21(skf19(u,v),u))) ),
inference(res,[status(thm),theory(equality)],[38,2815]),
[iquote('9:Res:38.2,2815.3')] ).
cnf(8999,plain,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aInteger0(skf21(w,skf21(skf19(v,u),v)))
| ~ skP3(skf21(skf19(v,u),v),w)
| equal(u,sbsmnsldt0(v))
| aElementOf0(skf19(v,u),u)
| skP3(v,skf21(w,skf21(skf19(v,u),v))) ),
inference(res,[status(thm),theory(equality)],[27,2815]),
[iquote('9:Res:27.1,2815.3')] ).
cnf(1460,plain,
( ~ aSet0(skf28(u))
| ~ isFinite0(u)
| ~ aSet0(u)
| ~ aInteger0(skf21(sz00,skf28(u)))
| isClosed0(sbsmnsldt0(u))
| skP3(u,skf21(sz00,skf28(u))) ),
inference(res,[status(thm),theory(equality)],[1445,296]),
[iquote('15:Res:1445.1,296.3')] ).
cnf(1692,plain,
( ~ aSet0(skf21(sz00,u))
| ~ aSet0(u)
| ~ aInteger0(skf27(skf21(sz00,u)))
| isOpen0(sbsmnsldt0(skf21(sz00,u)))
| skP3(u,skf27(skf21(sz00,u))) ),
inference(res,[status(thm),theory(equality)],[38,1457]),
[iquote('15:Res:38.2,1457.2')] ).
cnf(14251,plain,
( ~ aInteger0(u)
| ~ aElementOf0(v,sz00)
| ~ aElementOf0(u,v)
| ~ equal(w,sz00)
| aElementOf0(u,w) ),
inference(mrr,[status(thm)],[14250,7262]),
[iquote('19:MRR:14250.1,7262.1')] ).
cnf(13072,plain,
( ~ aSet0(u)
| ~ equal(v,sz00)
| equal(skf21(skf19(v,u),v),sz00)
| aElementOf0(skf19(v,u),u)
| equal(u,sbsmnsldt0(v)) ),
inference(ems,[status(thm)],[205,12713]),
[iquote('19:EmS:205.0,12713.4')] ).
cnf(6522,plain,
( ~ skP2(u)
| ~ aSet0(skf28(v))
| ~ isFinite0(v)
| ~ aSet0(v)
| ~ aInteger0(skf19(u,skf28(v)))
| equal(skf28(v),sz00)
| isClosed0(sbsmnsldt0(v))
| skP3(v,skf19(u,skf28(v))) ),
inference(rew,[status(thm),theory(equality)],[6348,2895]),
[iquote('19:Rew:6348.1,2895.5')] ).
cnf(6520,plain,
( ~ skP2(u)
| ~ aSet0(skf21(v,w))
| ~ aInteger0(skf19(u,skf21(v,w)))
| ~ skP3(w,v)
| equal(skf21(v,w),sz00)
| skP3(w,skf19(u,skf21(v,w))) ),
inference(rew,[status(thm),theory(equality)],[6348,2900]),
[iquote('19:Rew:6348.1,2900.4')] ).
cnf(6518,plain,
( ~ skP2(u)
| ~ aSet0(skf27(v))
| ~ aSet0(v)
| ~ aInteger0(skf19(u,skf27(v)))
| equal(skf27(v),sz00)
| isOpen0(sbsmnsldt0(v))
| skP3(v,skf19(u,skf27(v))) ),
inference(rew,[status(thm),theory(equality)],[6348,2894]),
[iquote('19:Rew:6348.1,2894.4')] ).
cnf(13018,plain,
( ~ aSet0(u)
| ~ equal(cS2076,sz00)
| equal(skf21(skf19(cS2076,u),cS2076),sz00)
| aElementOf0(skf19(cS2076,u),u)
| equal(u,sz00) ),
inference(ems,[status(thm)],[205,13007]),
[iquote('23:EmS:205.0,13007.4')] ).
cnf(2823,plain,
( ~ aSet0(u)
| ~ aSet0(skf21(v,w))
| ~ aInteger0(skf21(skf19(skf21(v,w),u),skf21(v,w)))
| ~ skP3(w,v)
| equal(u,sbsmnsldt0(skf21(v,w)))
| aElementOf0(skf19(skf21(v,w),u),u)
| skP3(w,skf21(skf19(skf21(v,w),u),skf21(v,w))) ),
inference(res,[status(thm),theory(equality)],[2229,293]),
[iquote('9:Res:2229.4,293.2')] ).
cnf(2818,plain,
( ~ aSet0(u)
| ~ aSet0(skf28(v))
| ~ isFinite0(v)
| ~ aSet0(v)
| ~ aInteger0(skf21(skf19(skf28(v),u),skf28(v)))
| equal(u,sbsmnsldt0(skf28(v)))
| aElementOf0(skf19(skf28(v),u),u)
| isClosed0(sbsmnsldt0(v))
| skP3(v,skf21(skf19(skf28(v),u),skf28(v))) ),
inference(res,[status(thm),theory(equality)],[2229,296]),
[iquote('9:Res:2229.4,296.3')] ).
cnf(6653,plain,
( ~ skP2(u)
| ~ aInteger0(skf19(sbsmnsldt0(sbsmnsldt0(u)),v))
| ~ aSet0(v)
| ~ aElementOf0(skf19(sz00,v),sz00)
| equal(v,sz00) ),
inference(rew,[status(thm),theory(equality)],[6348,6499]),
[iquote('19:Rew:6348.1,6499.3')] ).
cnf(6369,plain,
( ~ skP2(u)
| ~ aSet0(v)
| ~ aInteger0(w)
| ~ aElementOf0(w,skf19(u,v))
| equal(v,sz00)
| skP3(v,w) ),
inference(rew,[status(thm),theory(equality)],[6348,2892]),
[iquote('19:Rew:6348.1,2892.4')] ).
cnf(2817,plain,
( ~ aSet0(u)
| ~ aSet0(skf27(v))
| ~ aSet0(v)
| ~ aInteger0(skf21(skf19(skf27(v),u),skf27(v)))
| equal(u,sbsmnsldt0(skf27(v)))
| aElementOf0(skf19(skf27(v),u),u)
| isOpen0(sbsmnsldt0(v))
| skP3(v,skf21(skf19(skf27(v),u),skf27(v))) ),
inference(res,[status(thm),theory(equality)],[2229,294]),
[iquote('9:Res:2229.4,294.2')] ).
cnf(6649,plain,
( ~ skP2(u)
| ~ aInteger0(skf19(sbsmnsldt0(u),v))
| ~ aSet0(v)
| ~ aElementOf0(skf19(sz00,v),sz00)
| equal(v,sz00) ),
inference(rew,[status(thm),theory(equality)],[6348,6368]),
[iquote('19:Rew:6348.1,6368.3')] ).
cnf(10423,plain,
( ~ aInteger0(u)
| ~ aElementOf0(v,sz00)
| ~ aElementOf0(u,v)
| aElementOf0(u,sz00) ),
inference(mrr,[status(thm)],[10422,7262]),
[iquote('19:MRR:10422.1,7262.1')] ).
cnf(6665,plain,
( ~ aSet0(stldt0(sbsmnsldt0(u)))
| ~ skP2(u)
| ~ equal(xS,sz00)
| aElementOf0(skf16(cS2076,v),cS2076)
| equal(cS2076,sz00) ),
inference(rew,[status(thm),theory(equality)],[6413,6664]),
[iquote('19:Rew:6413.1,6664.2')] ).
cnf(6648,plain,
( ~ skP2(u)
| ~ aSet0(stldt0(sbsmnsldt0(cS2076)))
| ~ equal(xS,sz00)
| aElementOf0(skf16(cS2076,v),cS2076)
| equal(cS2076,sz00) ),
inference(rew,[status(thm),theory(equality)],[6413,6538]),
[iquote('19:Rew:6413.1,6538.2')] ).
cnf(7271,plain,
( ~ aSet0(u)
| ~ aInteger0(v)
| ~ aElementOf0(w,sz00)
| ~ aElementOf0(v,w)
| skP3(sbsmnsldt0(u),v) ),
inference(mrr,[status(thm)],[1427,7259]),
[iquote('19:MRR:1427.1,7259.1')] ).
cnf(8420,plain,
( ~ aSet0(u)
| equal(skf21(skf19(sz00,u),sz00),sz00)
| aElementOf0(skf19(sz00,u),u)
| equal(u,sz00) ),
inference(ems,[status(thm)],[205,7325]),
[iquote('19:EmS:205.0,7325.3')] ).
cnf(7152,plain,
( ~ aInteger0(skf19(sbsmnsldt0(cS2076),u))
| ~ aSet0(u)
| ~ aElementOf0(skf19(sz00,u),sz00)
| equal(u,sz00) ),
inference(rew,[status(thm),theory(equality)],[7006,7022]),
[iquote('19:Rew:7006.0,7022.2')] ).
cnf(9498,plain,
equal(stldt0(sz00),cS2076),
inference(mrr,[status(thm)],[6610,9497]),
[iquote('22:MRR:6610.0,9497.0')] ).
cnf(9497,plain,
skP2(xS),
inference(spt,[],[9432]),
[iquote('22:Spt:9432.1')] ).
cnf(2815,plain,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aInteger0(w)
| ~ aElementOf0(w,skf21(skf19(v,u),v))
| equal(u,sbsmnsldt0(v))
| aElementOf0(skf19(v,u),u)
| skP3(v,w) ),
inference(res,[status(thm),theory(equality)],[2229,56]),
[iquote('9:Res:2229.4,56.1')] ).
cnf(2828,plain,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aSubsetOf0(w,v)
| equal(u,sbsmnsldt0(w))
| aElementOf0(skf19(w,u),u)
| aElementOf0(skf21(skf19(w,u),w),v) ),
inference(mrr,[status(thm)],[2814,25]),
[iquote('9:MRR:2814.1,25.2')] ).
cnf(8541,plain,
( ~ aSet0(u)
| ~ aElementOf0(skf16(u,sz00),sz00)
| aSubsetOf0(u,sz00) ),
inference(ems,[status(thm)],[8465,6804]),
[iquote('19:EmS:8465.0,6804.0')] ).
cnf(7274,plain,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aElementOf0(skf16(v,sbsmnsldt0(u)),sz00)
| aSubsetOf0(v,sbsmnsldt0(u)) ),
inference(mrr,[status(thm)],[1429,7259]),
[iquote('19:MRR:1429.1,7259.1')] ).
cnf(8414,plain,
isClosed0(sz00),
inference(spt,[],[8411]),
[iquote('20:Spt:8411.2')] ).
cnf(7268,plain,
( ~ aInteger0(u)
| ~ aElementOf0(v,sz00)
| ~ aElementOf0(u,v)
| aElementOf0(u,skf21(u,w)) ),
inference(mrr,[status(thm)],[2526,7259]),
[iquote('19:MRR:2526.0,7259.1')] ).
cnf(7267,plain,
( ~ aSet0(u)
| ~ aElementOf0(v,sz00)
| ~ aSubsetOf0(w,u)
| aElementOf0(skf21(v,w),u) ),
inference(mrr,[status(thm)],[1396,7259]),
[iquote('19:MRR:1396.0,7259.1')] ).
cnf(7266,plain,
( ~ aInteger0(u)
| ~ aElementOf0(v,sz00)
| ~ aElementOf0(u,v)
| skP3(skf21(v,w),u) ),
inference(mrr,[status(thm)],[1381,7259]),
[iquote('19:MRR:1381.0,7259.1')] ).
cnf(6387,plain,
( ~ skP2(u)
| ~ aSet0(v)
| ~ aSubsetOf0(w,v)
| equal(w,sz00)
| aElementOf0(skf19(u,w),v) ),
inference(rew,[status(thm),theory(equality)],[6348,2884]),
[iquote('19:Rew:6348.1,2884.3')] ).
cnf(7273,plain,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aElementOf0(skf19(u,v),sz00)
| equal(v,sbsmnsldt0(u)) ),
inference(mrr,[status(thm)],[1758,7259]),
[iquote('19:MRR:1758.1,7259.1')] ).
cnf(6417,plain,
( ~ skP2(u)
| ~ aSet0(stldt0(sbsmnsldt0(xS)))
| aElementOf0(skf16(cS2076,v),cS2076)
| equal(cS2076,sz00) ),
inference(rew,[status(thm),theory(equality)],[6348,5240]),
[iquote('19:Rew:6348.1,5240.3')] ).
cnf(7003,plain,
( ~ skP2(u)
| ~ aSet0(v)
| ~ aElementOf0(skf19(u,v),sz00)
| equal(v,sz00) ),
inference(mrr,[status(thm)],[6372,6993]),
[iquote('19:MRR:6372.0,6993.2')] ).
cnf(6371,plain,
( ~ skP2(u)
| ~ aSet0(v)
| equal(v,sz00)
| aElementOf0(skf19(u,v),v) ),
inference(rew,[status(thm),theory(equality)],[6348,2880]),
[iquote('19:Rew:6348.1,2880.2')] ).
cnf(7661,plain,
( ~ isFinite0(u)
| ~ equal(u,sz00)
| equal(skf28(u),sz00)
| isClosed0(sbsmnsldt0(u)) ),
inference(ems,[status(thm)],[205,7657]),
[iquote('19:EmS:205.0,7657.3')] ).
cnf(7707,plain,
( ~ equal(u,sz00)
| ~ skP3(u,v)
| skP3(u,sz00) ),
inference(obv,[status(thm),theory(equality)],[7703]),
[iquote('19:Obv:7703.3')] ).
cnf(7617,plain,
( ~ equal(u,sz00)
| ~ skP3(u,v)
| equal(skf21(v,u),sz00) ),
inference(ems,[status(thm)],[205,7554]),
[iquote('19:EmS:205.0,7554.2')] ).
cnf(6941,plain,
( ~ skP3(u,v)
| ~ equal(skf21(v,u),sz00)
| skP3(u,sz00) ),
inference(sor,[status(thm)],[1113,6782]),
[iquote('19:SoR:1113.0,6782.1')] ).
cnf(7558,plain,
( ~ equal(u,sz00)
| equal(skf21(sz00,u),sz00) ),
inference(ems,[status(thm)],[205,7548]),
[iquote('19:EmS:205.0,7548.1')] ).
cnf(7495,plain,
( ~ equal(u,sz00)
| equal(skf27(u),sz00)
| isOpen0(sbsmnsldt0(u)) ),
inference(ems,[status(thm)],[205,7487]),
[iquote('19:EmS:205.0,7487.2')] ).
cnf(7390,plain,
( ~ equal(u,sz00)
| ~ aElementOf0(v,sz00)
| skP3(u,v) ),
inference(mrr,[status(thm)],[7381,7259]),
[iquote('19:MRR:7381.0,7259.1')] ).
cnf(7276,plain,
( ~ aElementOf0(u,sz00)
| ~ equal(v,sz00)
| aElementOf0(u,v) ),
inference(mrr,[status(thm)],[6802,7259]),
[iquote('19:MRR:6802.0,7259.1')] ).
cnf(7272,plain,
( ~ aSet0(u)
| ~ aElementOf0(v,sz00)
| skP3(sbsmnsldt0(u),v) ),
inference(mrr,[status(thm)],[2653,7259]),
[iquote('19:MRR:2653.1,7259.1')] ).
cnf(7270,plain,
( ~ aSet0(u)
| ~ aElementOf0(v,sz00)
| aElementOf0(v,sbsmnsldt0(u)) ),
inference(mrr,[status(thm)],[1395,7259]),
[iquote('19:MRR:1395.1,7259.1')] ).
cnf(7269,plain,
( ~ aSet0(u)
| ~ aElementOf0(v,sz00)
| skP3(u,v) ),
inference(mrr,[status(thm)],[1109,7259]),
[iquote('19:MRR:1109.1,7259.1')] ).
cnf(7265,plain,
( ~ aSet0(u)
| ~ aElementOf0(v,sz00)
| aElementOf0(v,u) ),
inference(mrr,[status(thm)],[1756,7259]),
[iquote('19:MRR:1756.0,7259.1')] ).
cnf(7374,plain,
( ~ equal(u,sz00)
| aElementOf0(sz00,u) ),
inference(ems,[status(thm)],[6800,6804]),
[iquote('19:EmS:6800.0,6804.0')] ).
cnf(7264,plain,
( ~ aElementOf0(u,sz00)
| aElementOf0(u,skf21(u,v)) ),
inference(mrr,[status(thm)],[1265,7259]),
[iquote('19:MRR:1265.0,7259.1')] ).
cnf(7263,plain,
( ~ aElementOf0(u,sz00)
| skP3(skf21(sz00,v),u) ),
inference(mrr,[status(thm)],[1192,7259]),
[iquote('19:MRR:1192.0,7259.1')] ).
cnf(7277,plain,
( ~ aElementOf0(u,sz00)
| equal(skf21(u,sz00),sz00) ),
inference(mrr,[status(thm)],[7028,7259]),
[iquote('19:MRR:7028.0,7259.1')] ).
cnf(7262,plain,
( ~ aElementOf0(u,sz00)
| skP3(sz00,u) ),
inference(mrr,[status(thm)],[1262,7259]),
[iquote('19:MRR:1262.0,7259.1')] ).
cnf(7259,plain,
( ~ aElementOf0(u,sz00)
| aInteger0(u) ),
inference(ems,[status(thm)],[6993,6886]),
[iquote('19:EmS:6993.0,6886.0')] ).
cnf(7144,plain,
( ~ skP3(sz00,u)
| equal(skf21(u,sz00),sz00) ),
inference(rew,[status(thm),theory(equality)],[7006,7017]),
[iquote('19:Rew:7006.0,7017.1')] ).
cnf(7011,plain,
( ~ aSet0(u)
| aSubsetOf0(sz00,u) ),
inference(rew,[status(thm),theory(equality)],[7006,980]),
[iquote('19:Rew:7006.0,980.1')] ).
cnf(7015,plain,
equal(skf21(sz00,sz00),sz00),
inference(rew,[status(thm),theory(equality)],[7006,1505]),
[iquote('19:Rew:7006.0,1505.0')] ).
cnf(7032,plain,
equal(sbsmnsldt0(sz00),sz00),
inference(rew,[status(thm),theory(equality)],[7006,4149]),
[iquote('19:Rew:7006.0,4149.0')] ).
cnf(7006,plain,
equal(sbsmnsldt0(cS2076),sz00),
inference(ems,[status(thm)],[6413,6886]),
[iquote('19:EmS:6413.0,6886.0')] ).
cnf(6392,plain,
( ~ skP2(u)
| ~ aElementOf0(v,sz00)
| skP3(u,v) ),
inference(rew,[status(thm),theory(equality)],[6348,341]),
[iquote('19:Rew:6348.1,341.1')] ).
cnf(6978,plain,
equal(skf27(sz00),sz00),
inference(ems,[status(thm)],[6402,6886]),
[iquote('19:EmS:6402.0,6886.0')] ).
cnf(6973,plain,
equal(skf20(sz00),sz00),
inference(ems,[status(thm)],[6401,6886]),
[iquote('19:EmS:6401.0,6886.0')] ).
cnf(6391,plain,
( ~ skP2(u)
| ~ skP3(u,v)
| aElementOf0(v,sz00) ),
inference(rew,[status(thm),theory(equality)],[6348,364]),
[iquote('19:Rew:6348.1,364.2')] ).
cnf(6370,plain,
( ~ skP2(u)
| ~ aSet0(v)
| ~ skP3(u,skf19(u,v))
| equal(v,sz00) ),
inference(rew,[status(thm),theory(equality)],[6348,2881]),
[iquote('19:Rew:6348.1,2881.3')] ).
cnf(6938,plain,
~ equal(cS1395,sz00),
inference(sor,[status(thm)],[1154,6782]),
[iquote('19:SoR:1154.0,6782.1')] ).
cnf(6782,plain,
( ~ equal(u,sz00)
| aSet0(u) ),
inference(ems,[status(thm)],[6373,3149]),
[iquote('19:EmS:6373.0,3149.0')] ).
cnf(6930,plain,
skP3(sz00,sz00),
inference(ems,[status(thm)],[6612,6886]),
[iquote('19:EmS:6612.0,6886.0')] ).
cnf(6389,plain,
( ~ skP2(u)
| ~ aElementOf0(v,w)
| ~ equal(w,sz00)
| skP3(u,v) ),
inference(rew,[status(thm),theory(equality)],[6348,61]),
[iquote('19:Rew:6348.1,61.2')] ).
cnf(6886,plain,
skP2(sz00),
inference(ems,[status(thm)],[6393,3149]),
[iquote('19:EmS:6393.0,3149.0')] ).
cnf(6804,plain,
aSet0(sz00),
inference(ems,[status(thm)],[6374,3149]),
[iquote('19:EmS:6374.0,3149.0')] ).
cnf(6388,plain,
( ~ skP2(u)
| ~ skP3(u,v)
| ~ equal(w,sz00)
| aElementOf0(v,w) ),
inference(rew,[status(thm),theory(equality)],[6348,62]),
[iquote('19:Rew:6348.1,62.2')] ).
cnf(6787,plain,
isOpen0(sz00),
inference(ems,[status(thm)],[6366,3149]),
[iquote('19:EmS:6366.0,3149.0')] ).
cnf(6348,plain,
( ~ skP2(u)
| equal(sbsmnsldt0(u),sz00) ),
inference(spt,[],[6332]),
[iquote('19:Spt:6332.0,6332.3')] ).
cnf(1461,plain,
( ~ aSet0(skf21(u,v))
| ~ aInteger0(skf21(sz00,skf21(u,v)))
| ~ skP3(v,u)
| skP3(v,skf21(sz00,skf21(u,v))) ),
inference(res,[status(thm),theory(equality)],[1445,293]),
[iquote('15:Res:1445.1,293.2')] ).
cnf(1690,plain,
( ~ aSet0(u)
| ~ aInteger0(skf21(v,skf21(sz00,u)))
| ~ skP3(skf21(sz00,u),v)
| skP3(u,skf21(v,skf21(sz00,u))) ),
inference(res,[status(thm),theory(equality)],[27,1457]),
[iquote('15:Res:27.1,1457.2')] ).
cnf(1459,plain,
( ~ aSet0(skf27(u))
| ~ aSet0(u)
| ~ aInteger0(skf21(sz00,skf27(u)))
| isOpen0(sbsmnsldt0(u))
| skP3(u,skf21(sz00,skf27(u))) ),
inference(res,[status(thm),theory(equality)],[1445,294]),
[iquote('15:Res:1445.1,294.2')] ).
cnf(1691,plain,
( ~ aSet0(skf21(sz00,u))
| ~ aSet0(u)
| ~ aInteger0(skf21(sz00,skf21(sz00,u)))
| skP3(u,skf21(sz00,skf21(sz00,u))) ),
inference(res,[status(thm),theory(equality)],[1445,1457]),
[iquote('15:Res:1445.1,1457.2')] ).
cnf(2229,plain,
( ~ aSet0(u)
| ~ aSet0(v)
| equal(u,sbsmnsldt0(v))
| aElementOf0(skf19(v,u),u)
| aElementOf0(skf21(skf19(v,u),v),v) ),
inference(ssi,[status(thm)],[2228,570]),
[iquote('9:SSi:2228.0,570.1')] ).
cnf(825,plain,
( ~ isFinite0(skf21(u,v))
| ~ aSet0(skf21(u,v))
| ~ aInteger0(skf28(skf21(u,v)))
| ~ skP3(v,u)
| isClosed0(sbsmnsldt0(skf21(u,v)))
| skP3(v,skf28(skf21(u,v))) ),
inference(res,[status(thm),theory(equality)],[48,293]),
[iquote('0:Res:48.3,293.2')] ).
cnf(1272,plain,
( ~ isFinite0(skf28(u))
| ~ aSet0(skf28(u))
| ~ isFinite0(u)
| ~ aSet0(u)
| ~ aInteger0(skf28(skf28(u)))
| isClosed0(sbsmnsldt0(skf28(u)))
| isClosed0(sbsmnsldt0(u))
| skP3(u,skf28(skf28(u))) ),
inference(res,[status(thm),theory(equality)],[48,296]),
[iquote('0:Res:48.3,296.3')] ).
cnf(868,plain,
( ~ isFinite0(skf27(u))
| ~ aSet0(skf27(u))
| ~ aSet0(u)
| ~ aInteger0(skf28(skf27(u)))
| isClosed0(sbsmnsldt0(skf27(u)))
| isOpen0(sbsmnsldt0(u))
| skP3(u,skf28(skf27(u))) ),
inference(res,[status(thm),theory(equality)],[48,294]),
[iquote('0:Res:48.3,294.2')] ).
cnf(1270,plain,
( ~ aSet0(skf28(u))
| ~ isFinite0(u)
| ~ aSet0(u)
| ~ aInteger0(skf27(skf28(u)))
| isOpen0(sbsmnsldt0(skf28(u)))
| isClosed0(sbsmnsldt0(u))
| skP3(u,skf27(skf28(u))) ),
inference(res,[status(thm),theory(equality)],[38,296]),
[iquote('0:Res:38.2,296.3')] ).
cnf(823,plain,
( ~ aSet0(skf21(u,v))
| ~ aInteger0(skf27(skf21(u,v)))
| ~ skP3(v,u)
| isOpen0(sbsmnsldt0(skf21(u,v)))
| skP3(v,skf27(skf21(u,v))) ),
inference(res,[status(thm),theory(equality)],[38,293]),
[iquote('0:Res:38.2,293.2')] ).
cnf(1269,plain,
( ~ isFinite0(u)
| ~ aSet0(u)
| ~ aInteger0(skf21(v,skf28(u)))
| ~ skP3(skf28(u),v)
| isClosed0(sbsmnsldt0(u))
| skP3(u,skf21(v,skf28(u))) ),
inference(res,[status(thm),theory(equality)],[27,296]),
[iquote('0:Res:27.1,296.3')] ).
cnf(1704,plain,
( ~ aSet0(u)
| skP3(u,sz00) ),
inference(ssi,[status(thm)],[1703,1]),
[iquote('15:SSi:1703.1,1.0')] ).
cnf(1457,plain,
( ~ aSet0(u)
| ~ aInteger0(v)
| ~ aElementOf0(v,skf21(sz00,u))
| skP3(u,v) ),
inference(res,[status(thm),theory(equality)],[1445,56]),
[iquote('15:Res:1445.1,56.1')] ).
cnf(822,plain,
( ~ aInteger0(skf21(u,skf21(v,w)))
| ~ skP3(skf21(v,w),u)
| ~ skP3(w,v)
| skP3(w,skf21(u,skf21(v,w))) ),
inference(res,[status(thm),theory(equality)],[27,293]),
[iquote('0:Res:27.1,293.2')] ).
cnf(866,plain,
( ~ aSet0(skf27(u))
| ~ aSet0(u)
| ~ aInteger0(skf27(skf27(u)))
| isOpen0(sbsmnsldt0(skf27(u)))
| isOpen0(sbsmnsldt0(u))
| skP3(u,skf27(skf27(u))) ),
inference(res,[status(thm),theory(equality)],[38,294]),
[iquote('0:Res:38.2,294.2')] ).
cnf(1463,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| aElementOf0(skf21(sz00,v),u) ),
inference(mrr,[status(thm)],[1456,25]),
[iquote('15:MRR:1456.0,25.2')] ).
cnf(865,plain,
( ~ aSet0(u)
| ~ aInteger0(skf21(v,skf27(u)))
| ~ skP3(skf27(u),v)
| isOpen0(sbsmnsldt0(u))
| skP3(u,skf21(v,skf27(u))) ),
inference(res,[status(thm),theory(equality)],[27,294]),
[iquote('0:Res:27.1,294.2')] ).
cnf(1445,plain,
( ~ aSet0(u)
| aElementOf0(skf21(sz00,u),u) ),
inference(ssi,[status(thm)],[1444,570]),
[iquote('15:SSi:1444.0,570.1')] ).
cnf(1113,plain,
( ~ aSet0(skf21(u,v))
| ~ skP3(v,u)
| skP3(v,sz00) ),
inference(rew,[status(thm),theory(equality)],[1104,1101]),
[iquote('15:Rew:1104.0,1101.2')] ).
cnf(1362,plain,
~ aSubsetOf0(u,cS1395),
inference(mrr,[status(thm)],[1361,1051]),
[iquote('15:MRR:1361.1,1051.0')] ).
cnf(296,plain,
( ~ isFinite0(u)
| ~ aSet0(u)
| ~ aInteger0(v)
| ~ aElementOf0(v,skf28(u))
| isClosed0(sbsmnsldt0(u))
| skP3(u,v) ),
inference(res,[status(thm),theory(equality)],[48,56]),
[iquote('0:Res:48.3,56.1')] ).
cnf(1238,plain,
aElementOf0(sz00,sz00),
inference(ems,[status(thm)],[1236,353]),
[iquote('15:EmS:1236.0,353.0')] ).
cnf(1182,plain,
aElementOf0(sz00,skf21(sz00,u)),
inference(ems,[status(thm)],[1091,353]),
[iquote('15:EmS:1091.0,353.0')] ).
cnf(1154,plain,
~ aSet0(cS1395),
inference(mrr,[status(thm)],[1150,1106]),
[iquote('15:MRR:1150.1,1106.1')] ).
cnf(1106,plain,
( ~ aSet0(u)
| aElementOf0(sz00,u) ),
inference(rew,[status(thm),theory(equality)],[1104,1022]),
[iquote('15:Rew:1104.0,1022.1')] ).
cnf(1087,plain,
( ~ skP2(u)
| skP3(u,sz00) ),
inference(ssi,[status(thm)],[1085,268,384]),
[iquote('15:SSi:1085.0,268.1,384.1')] ).
cnf(306,plain,
( ~ isFinite0(u)
| ~ aSet0(v)
| ~ aSubsetOf0(u,v)
| isClosed0(sbsmnsldt0(u))
| aElementOf0(skf28(u),v) ),
inference(mrr,[status(thm)],[302,25]),
[iquote('0:MRR:302.1,25.2')] ).
cnf(952,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(cS1395,u)
| aElementOf0(skf26(cS1395),u) ),
inference(spt,[],[949]),
[iquote('13:Spt:949.0,949.1,949.3')] ).
cnf(294,plain,
( ~ aSet0(u)
| ~ aInteger0(v)
| ~ aElementOf0(v,skf27(u))
| isOpen0(sbsmnsldt0(u))
| skP3(u,v) ),
inference(res,[status(thm),theory(equality)],[38,56]),
[iquote('0:Res:38.2,56.1')] ).
cnf(299,plain,
( ~ aSet0(u)
| ~ skP3(v,w)
| ~ aSubsetOf0(v,u)
| aElementOf0(skf21(w,v),u) ),
inference(res,[status(thm),theory(equality)],[27,54]),
[iquote('0:Res:27.1,54.1')] ).
cnf(293,plain,
( ~ aInteger0(u)
| ~ skP3(v,w)
| ~ aElementOf0(u,skf21(w,v))
| skP3(v,u) ),
inference(res,[status(thm),theory(equality)],[27,56]),
[iquote('0:Res:27.1,56.1')] ).
cnf(570,plain,
( ~ aSet0(u)
| skP2(u) ),
inference(spt,[],[410]),
[iquote('9:Spt:410.0,410.4')] ).
cnf(60,axiom,
( ~ aInteger0(u)
| ~ aElementOf0(u,v)
| ~ aElementOf0(u,w)
| skP1(v,w,u) ),
file('NUM450+1.p',unknown),
[] ).
cnf(353,plain,
skP2(cS2076),
inference(spt,[],[352]),
[iquote('5:Spt:352.1')] ).
cnf(316,plain,
( ~ aSet0(u)
| aSubsetOf0(u,u) ),
inference(con,[status(thm)],[315]),
[iquote('0:Con:315.0')] ).
cnf(59,axiom,
( ~ aSet0(u)
| ~ aSet0(v)
| ~ aElementOf0(skf16(v,u),u)
| aSubsetOf0(v,u) ),
file('NUM450+1.p',unknown),
[] ).
cnf(305,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| isOpen0(sbsmnsldt0(v))
| aElementOf0(skf27(v),u) ),
inference(mrr,[status(thm)],[300,25]),
[iquote('0:MRR:300.0,25.2')] ).
cnf(304,plain,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| skP2(v)
| aElementOf0(skf20(v),u) ),
inference(mrr,[status(thm)],[298,25]),
[iquote('0:MRR:298.0,25.2')] ).
cnf(54,axiom,
( ~ aSet0(u)
| ~ aElementOf0(v,w)
| ~ aSubsetOf0(w,u)
| aElementOf0(v,u) ),
file('NUM450+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ aInteger0(u)
| ~ aElementOf0(v,w)
| ~ aElementOf0(u,v)
| skP3(w,u) ),
file('NUM450+1.p',unknown),
[] ).
cnf(196,plain,
( ~ aInteger0(u)
| ~ isPrime0(v)
| ~ aDivisorOf0(v,u)
| ~ equal(u,sz00) ),
inference(rew,[status(thm),theory(equality)],[181,52]),
[iquote('4:Rew:181.0,52.3')] ).
cnf(48,axiom,
( ~ isFinite0(u)
| ~ aSet0(u)
| isClosed0(sbsmnsldt0(u))
| aElementOf0(skf28(u),u) ),
file('NUM450+1.p',unknown),
[] ).
cnf(200,plain,
( ~ aInteger0(u)
| ~ aDivisorOf0(v,u)
| equal(sdtasdt0(v,sz00),u) ),
inference(rew,[status(thm),theory(equality)],[181,138]),
[iquote('4:Rew:181.0,138.2')] ).
cnf(40,axiom,
( ~ skP0(u,v,w)
| aElementOf0(w,u)
| aElementOf0(w,v) ),
file('NUM450+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ aInteger0(u)
| ~ aElementOf0(u,v)
| skP0(w,v,u) ),
file('NUM450+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ aInteger0(u)
| ~ aElementOf0(u,v)
| skP0(v,w,u) ),
file('NUM450+1.p',unknown),
[] ).
cnf(246,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| equal(sdtpldt0(u,v),sz00) ),
inference(ems,[status(thm)],[205,29]),
[iquote('4:EmS:205.0,29.2')] ).
cnf(232,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| equal(sdtasdt0(u,v),sz00) ),
inference(ems,[status(thm)],[205,30]),
[iquote('4:EmS:205.0,30.2')] ).
cnf(39,axiom,
( ~ aInteger0(u)
| ~ aDivisorOf0(v,u)
| ~ equal(v,sz00) ),
file('NUM450+1.p',unknown),
[] ).
cnf(262,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| equal(v,u) ),
inference(rew,[status(thm),theory(equality)],[14,261]),
[iquote('4:Rew:14.1,261.2')] ).
cnf(263,plain,
equal(sdtpldt0(sz00,sz00),sz00),
inference(ems,[status(thm)],[256,1]),
[iquote('4:EmS:256.0,1.0')] ).
cnf(38,axiom,
( ~ aSet0(u)
| isOpen0(sbsmnsldt0(u))
| aElementOf0(skf27(u),u) ),
file('NUM450+1.p',unknown),
[] ).
cnf(188,plain,
( ~ aInteger0(u)
| equal(smndt0(u),sz00) ),
inference(rew,[status(thm),theory(equality)],[181,168]),
[iquote('4:Rew:181.0,168.1')] ).
cnf(185,plain,
equal(skf14(u,v),sz00),
inference(rew,[status(thm),theory(equality)],[181,136]),
[iquote('4:Rew:181.0,136.0')] ).
cnf(184,plain,
equal(skf24(u,v),sz00),
inference(rew,[status(thm),theory(equality)],[181,131]),
[iquote('4:Rew:181.0,131.0')] ).
cnf(205,plain,
( ~ aInteger0(u)
| equal(sz00,u) ),
inference(rew,[status(thm),theory(equality)],[19,186]),
[iquote('4:Rew:19.1,186.1')] ).
cnf(181,plain,
equal(sz10,sz00),
inference(ssi,[status(thm)],[179,1]),
[iquote('4:SSi:179.0,1.0')] ).
cnf(28,axiom,
( ~ skP3(u,v)
| aElementOf0(v,skf21(v,w)) ),
file('NUM450+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ skP3(u,v)
| aElementOf0(skf21(v,u),u) ),
file('NUM450+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ aInteger0(u)
| ~ aDivisorOf0(v,u)
| aInteger0(v) ),
file('NUM450+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ aSet0(u)
| ~ aSubsetOf0(v,u)
| aSet0(v) ),
file('NUM450+1.p',unknown),
[] ).
cnf(153,plain,
equal(smndt0(sz00),sz00),
inference(ssi,[status(thm)],[150,10,1]),
[iquote('0:SSi:150.1,150.0,10.0,1.0,1.1')] ).
cnf(20,axiom,
( ~ skP1(u,v,w)
| aElementOf0(w,v) ),
file('NUM450+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ skP1(u,v,w)
| aElementOf0(w,u) ),
file('NUM450+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ aInteger0(u)
| equal(sdtpldt0(u,sz00),u) ),
file('NUM450+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ aInteger0(u)
| equal(sdtpldt0(sz00,u),u) ),
file('NUM450+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ aInteger0(u)
| equal(sdtasdt0(u,sz00),sz00) ),
file('NUM450+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ aInteger0(u)
| equal(sdtasdt0(sz00,u),sz00) ),
file('NUM450+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ skP0(u,v,w)
| aInteger0(w) ),
file('NUM450+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ skP1(u,v,w)
| aInteger0(w) ),
file('NUM450+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ skP3(u,v)
| aInteger0(v) ),
file('NUM450+1.p',unknown),
[] ).
cnf(9,axiom,
equal(stldt0(sbsmnsldt0(xS)),cS2076),
file('NUM450+1.p',unknown),
[] ).
cnf(5,axiom,
isClosed0(sbsmnsldt0(xS)),
file('NUM450+1.p',unknown),
[] ).
cnf(4,axiom,
equal(cS2043,xS),
file('NUM450+1.p',unknown),
[] ).
cnf(1,axiom,
aInteger0(sz00),
file('NUM450+1.p',unknown),
[] ).
cnf(107,plain,
isOpen0(cS2076),
inference(rew,[status(thm),theory(equality)],[9,8]),
[iquote('0:Rew:9.0,8.0')] ).
cnf(3,axiom,
isFinite0(xS),
file('NUM450+1.p',unknown),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM450+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jul 6 18:23:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 11.10/11.33
% 11.10/11.33 SPASS V 3.9
% 11.10/11.33 SPASS beiseite: Completion found.
% 11.10/11.33 % SZS status CounterSatisfiable
% 11.10/11.33 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.10/11.33 SPASS derived 18365 clauses, backtracked 0 clauses, performed 30 splits and kept 4713 clauses.
% 11.10/11.33 SPASS allocated 127694 KBytes.
% 11.10/11.33 SPASS spent 0:0:10.98 on the problem.
% 11.10/11.33 0:00:00.04 for the input.
% 11.10/11.33 0:00:00.18 for the FLOTTER CNF translation.
% 11.10/11.33 0:00:00.26 for inferences.
% 11.10/11.33 0:00:00.00 for the backtracking.
% 11.10/11.33 0:0:10.42 for the reduction.
% 11.10/11.33
% 11.10/11.33
% 11.10/11.33 The saturated set of worked-off clauses is :
% 11.10/11.33 % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------