TSTP Solution File: SYN756-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN756-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : Thu Jul 21 12:24:11 EDT 2022
% Result : Satisfiable 0.19s 0.55s
% Output : Saturation 0.52s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 2336)
% Comments :
%------------------------------------------------------------------------------
cnf(2337,plain,
( ~ ssPv3(u)
| ~ ssPv4(v)
| ~ ssRr(u,v)
| ssPv3(skf1(u))
| ssPv4(skf1(u)) ),
inference(obv,[status(thm),theory(equality)],[2336]),
[iquote('0:Obv:2336.4')] ).
cnf(1963,plain,
( ~ ssPv3(u)
| ~ ssPv4(v)
| ~ ssRr(u,w)
| ~ ssRr(u,x)
| ~ ssRr(u,v)
| ssPv3(w)
| ssPv4(x)
| ssPv4(skf1(u)) ),
inference(sor,[status(thm)],[939,1937]),
[iquote('0:SoR:939.0,1937.3')] ).
cnf(2087,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(u,w)
| ~ ssRr(u,x)
| ~ ssRr(u,v)
| ssPv3(w)
| ssPv4(x) ),
inference(con,[status(thm)],[2073]),
[iquote('0:Con:2073.4')] ).
cnf(2225,plain,
( ~ ssPv4(u)
| ~ ssPv1(v)
| ~ ssRr(v,u)
| ssPv2(skf1(v))
| ssPv4(skf1(v)) ),
inference(res,[status(thm),theory(equality)],[1,2159]),
[iquote('0:Res:1.0,2159.2')] ).
cnf(2159,plain,
( ~ ssPv4(u)
| ~ ssPv1(v)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv2(w)
| ssPv4(skf1(v)) ),
inference(con,[status(thm)],[2152]),
[iquote('0:Con:2152.1')] ).
cnf(2176,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(u,v)
| ssPv3(skf1(u))
| ssPv4(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,2084]),
[iquote('0:Res:1.0,2084.2')] ).
cnf(2084,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv3(skf1(u))
| ssPv4(w) ),
inference(mrr,[status(thm)],[2076,295]),
[iquote('0:MRR:2076.4,295.0')] ).
cnf(2144,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(u,v)
| ssPv1(skf1(u))
| ssPv4(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,2074]),
[iquote('0:Res:1.0,2074.2')] ).
cnf(2074,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv1(skf1(u))
| ssPv4(w) ),
inference(sor,[status(thm)],[930,2048]),
[iquote('0:SoR:930.0,2048.4')] ).
cnf(2109,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(u,v)
| ssPv2(u)
| ssPv4(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,2085]),
[iquote('0:Res:1.0,2085.2')] ).
cnf(2085,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv2(u)
| ssPv4(w) ),
inference(obv,[status(thm),theory(equality)],[2059]),
[iquote('0:Obv:2059.0')] ).
cnf(2083,plain,
( ~ ssPv4(skf1(u))
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv4(v) ),
inference(mrr,[status(thm)],[2082,1210]),
[iquote('0:MRR:2082.3,1210.0')] ).
cnf(2048,plain,
( ~ ssPv4(u)
| ~ ssPv1(v)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv2(skf1(v))
| ssPv4(w) ),
inference(res,[status(thm),theory(equality)],[1,1906]),
[iquote('0:Res:1.0,1906.2')] ).
cnf(1906,plain,
( ~ ssPv4(u)
| ~ ssPv1(v)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ~ ssRr(v,x)
| ssPv2(w)
| ssPv4(x) ),
inference(mrr,[status(thm)],[1899,25]),
[iquote('0:MRR:1899.2,25.4')] ).
cnf(2022,plain,
( ~ ssPv1(skf1(u))
| ~ ssPv3(u)
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv2(v)
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[1,1075]),
[iquote('0:Res:1.0,1075.3')] ).
cnf(2021,plain,
( ~ ssPv1(skf1(u))
| ~ ssPv3(u)
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv3(v)
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,1074]),
[iquote('0:Res:1.0,1074.3')] ).
cnf(1075,plain,
( ~ ssPv1(u)
| ~ ssPv3(v)
| ~ ssPv1(v)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv2(w)
| ssPv4(v) ),
inference(obv,[status(thm),theory(equality)],[1070]),
[iquote('0:Obv:1070.1')] ).
cnf(1074,plain,
( ~ ssPv1(u)
| ~ ssPv3(v)
| ~ ssPv1(v)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv3(w)
| ssPv2(v) ),
inference(obv,[status(thm),theory(equality)],[1071]),
[iquote('0:Obv:1071.1')] ).
cnf(2018,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv3(v) ),
inference(mrr,[status(thm)],[2013,143]),
[iquote('0:MRR:2013.4,143.0')] ).
cnf(2009,plain,
( ~ ssPv2(skf1(u))
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv3(v) ),
inference(res,[status(thm),theory(equality)],[1,2008]),
[iquote('0:Res:1.0,2008.1')] ).
cnf(2008,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv1(v)
| ssPv3(w) ),
inference(res,[status(thm),theory(equality)],[1,1201]),
[iquote('0:Res:1.0,1201.1')] ).
cnf(1973,plain,
( ~ ssPv3(u)
| ~ ssPv4(v)
| ~ ssRr(u,v)
| ssPv2(u)
| ssPv4(skf1(u)) ),
inference(mrr,[status(thm)],[1949,1197]),
[iquote('0:MRR:1949.0,1197.3')] ).
cnf(1937,plain,
( ~ ssPv4(u)
| ~ ssPv3(v)
| ~ ssRr(v,u)
| ssPv2(skf1(v))
| ssPv4(skf1(v)) ),
inference(res,[status(thm),theory(equality)],[1,1616]),
[iquote('0:Res:1.0,1616.2')] ).
cnf(1616,plain,
( ~ ssPv4(u)
| ~ ssPv3(v)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv2(w)
| ssPv4(skf1(v)) ),
inference(sor,[status(thm)],[1314,944]),
[iquote('0:SoR:1314.0,944.1')] ).
cnf(1908,plain,
( ~ ssPv3(skf1(u))
| ~ ssPv3(u)
| ~ ssRr(u,v)
| ssPv1(v)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,1800]),
[iquote('0:Res:1.0,1800.2')] ).
cnf(1800,plain,
( ~ ssPv3(u)
| ~ ssPv3(v)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv1(w)
| ssPv1(v) ),
inference(obv,[status(thm),theory(equality)],[1795]),
[iquote('0:Obv:1795.4')] ).
cnf(1889,plain,
( ~ ssPv3(u)
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv2(u)
| ssPv4(v)
| ssPv4(u) ),
inference(obv,[status(thm),theory(equality)],[1864]),
[iquote('0:Obv:1864.0')] ).
cnf(1888,plain,
( ~ ssPv3(u)
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv1(skf1(u))
| ssPv4(v) ),
inference(mrr,[status(thm)],[1879,141]),
[iquote('0:MRR:1879.5,141.0')] ).
cnf(1844,plain,
( ~ ssPv1(u)
| ~ ssPv3(u)
| ~ ssRr(u,v)
| ssPv4(u)
| ssPv2(skf1(u))
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[1,362]),
[iquote('0:Res:1.0,362.2')] ).
cnf(1843,plain,
( ~ ssPv1(skf1(u))
| ~ ssPv3(u)
| ~ ssRr(u,v)
| ssPv1(v)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,1292]),
[iquote('0:Res:1.0,1292.2')] ).
cnf(362,plain,
( ~ ssPv1(u)
| ~ ssPv3(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv4(u)
| ssPv2(v)
| ssPv4(w) ),
inference(obv,[status(thm),theory(equality)],[359]),
[iquote('0:Obv:359.0')] ).
cnf(1292,plain,
( ~ ssPv1(u)
| ~ ssPv3(v)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv1(w)
| ssPv1(v) ),
inference(obv,[status(thm),theory(equality)],[1287]),
[iquote('0:Obv:1287.0')] ).
cnf(1835,plain,
( ~ ssPv2(skf1(u))
| ~ ssPv4(v)
| ~ ssRr(u,v)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,1777]),
[iquote('0:Res:1.0,1777.2')] ).
cnf(1777,plain,
( ~ ssPv2(u)
| ~ ssPv4(v)
| ~ ssRr(w,u)
| ~ ssRr(w,v)
| ssPv1(w) ),
inference(mrr,[status(thm)],[1741,1200]),
[iquote('0:MRR:1741.1,1200.5')] ).
cnf(1828,plain,
( ~ ssPv4(u)
| ~ ssPv4(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,1826]),
[iquote('0:Res:1.0,1826.2')] ).
cnf(1826,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssRr(u,v) ),
inference(con,[status(thm)],[1823]),
[iquote('0:Con:1823.3')] ).
cnf(1809,plain,
( ~ ssPv4(u)
| ~ ssPv3(skf1(v))
| ~ ssRr(v,u)
| ssPv1(v) ),
inference(res,[status(thm),theory(equality)],[1,1730]),
[iquote('0:Res:1.0,1730.2')] ).
cnf(1730,plain,
( ~ ssPv4(u)
| ~ ssPv3(v)
| ~ ssRr(w,v)
| ~ ssRr(w,u)
| ssPv1(w) ),
inference(mrr,[status(thm)],[1716,1187]),
[iquote('0:MRR:1716.4,1187.0')] ).
cnf(1693,plain,
( ~ ssPv2(u)
| ~ ssPv1(v)
| ~ ssRr(v,u)
| ssPv2(v) ),
inference(mrr,[status(thm)],[1141,1692]),
[iquote('0:MRR:1141.3,1692.0')] ).
cnf(1763,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv1(skf1(v)) ),
inference(sor,[status(thm)],[930,1691]),
[iquote('0:SoR:930.0,1691.2')] ).
cnf(1729,plain,
( ~ ssPv3(u)
| ~ ssPv4(skf1(v))
| ~ ssRr(v,u)
| ssPv1(v) ),
inference(mrr,[status(thm)],[1728,1210]),
[iquote('0:MRR:1728.4,1210.0')] ).
cnf(1780,plain,
( ~ ssPv2(skf1(u))
| ~ ssPv1(u)
| ssPv2(u) ),
inference(mrr,[status(thm)],[1143,1779]),
[iquote('0:MRR:1143.2,1779.0')] ).
cnf(1779,plain,
( ~ ssPv4(u)
| ~ ssPv2(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,1692]),
[iquote('0:Res:1.0,1692.2')] ).
cnf(1692,plain,
( ~ ssPv4(u)
| ~ ssPv2(v)
| ~ ssRr(u,v) ),
inference(mrr,[status(thm)],[316,1691]),
[iquote('0:MRR:316.2,1691.2')] ).
cnf(1691,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv2(skf1(v)) ),
inference(res,[status(thm),theory(equality)],[1,1638]),
[iquote('0:Res:1.0,1638.1')] ).
cnf(1638,plain,
( ~ ssPv2(u)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv2(w) ),
inference(mrr,[status(thm)],[1637,267]),
[iquote('0:MRR:1637.0,267.3')] ).
cnf(1586,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv1(skf1(u))
| ssPv4(v) ),
inference(sor,[status(thm)],[930,1561]),
[iquote('0:SoR:930.0,1561.2')] ).
cnf(1314,plain,
( ~ ssPv1(skf1(u))
| ~ ssPv4(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv2(w) ),
inference(res,[status(thm),theory(equality)],[1,66]),
[iquote('0:Res:1.0,66.2')] ).
cnf(1561,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv2(skf1(u))
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[1,1532]),
[iquote('0:Res:1.0,1532.1')] ).
cnf(1532,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv2(v)
| ssPv4(w) ),
inference(mrr,[status(thm)],[1530,1217,1210]),
[iquote('0:MRR:1530.0,1530.4,1217.3,1210.1')] ).
cnf(1357,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(v)
| ssPv4(w) ),
inference(mrr,[status(thm)],[995,1356]),
[iquote('0:MRR:995.0,1356.4')] ).
cnf(1535,plain,
( ~ ssPv2(u)
| ~ ssPv3(skf1(u))
| ~ ssRr(u,v)
| ssPv2(v) ),
inference(con,[status(thm)],[1534]),
[iquote('0:Con:1534.3')] ).
cnf(1538,plain,
( ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv2(w) ),
inference(con,[status(thm)],[1533]),
[iquote('0:Con:1533.4')] ).
cnf(1482,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv3(skf1(u))
| ssPv4(v) ),
inference(mrr,[status(thm)],[1008,1481]),
[iquote('0:MRR:1008.0,1481.3')] ).
cnf(1492,plain,
( ~ ssPv2(u)
| ssPv3(skf1(u))
| ssPv4(skf1(u)) ),
inference(mrr,[status(thm)],[1031,1491]),
[iquote('0:MRR:1031.0,1491.2')] ).
cnf(1491,plain,
( ~ ssPv2(u)
| ssPv3(skf1(u))
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,1481]),
[iquote('0:Res:1.0,1481.1')] ).
cnf(1327,plain,
( ~ ssPv2(skf1(u))
| ~ ssPv3(skf1(u))
| ~ ssRr(u,v)
| ssPv2(v) ),
inference(mrr,[status(thm)],[1323,288]),
[iquote('0:MRR:1323.0,288.2')] ).
cnf(1389,plain,
( ~ ssPv2(u)
| ssPv1(skf1(u))
| ssPv4(skf1(u)) ),
inference(sor,[status(thm)],[930,1371]),
[iquote('0:SoR:930.0,1371.1')] ).
cnf(1371,plain,
( ~ ssPv2(u)
| ssPv2(skf1(u))
| ssPv4(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,1326]),
[iquote('0:Res:1.0,1326.1')] ).
cnf(1326,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv2(v)
| ssPv4(skf1(u)) ),
inference(mrr,[status(thm)],[1322,1217]),
[iquote('0:MRR:1322.1,1217.3')] ).
cnf(1329,plain,
( ~ ssPv2(u)
| ssPv2(skf1(u))
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,1324]),
[iquote('0:Res:1.0,1324.1')] ).
cnf(1324,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv2(v)
| ssPv1(u) ),
inference(obv,[status(thm),theory(equality)],[1318]),
[iquote('0:Obv:1318.0')] ).
cnf(1313,plain,
( ~ ssPv2(u)
| ~ ssPv1(skf1(u))
| ~ ssRr(u,v)
| ssPv2(v) ),
inference(res,[status(thm),theory(equality)],[1,1218]),
[iquote('0:Res:1.0,1218.2')] ).
cnf(66,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(w,u)
| ~ ssRr(w,x)
| ~ ssRr(w,v)
| ssPv2(x) ),
inference(mrr,[status(thm)],[50,65]),
[iquote('0:MRR:50.2,65.5')] ).
cnf(1218,plain,
( ~ ssPv2(u)
| ~ ssPv1(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv2(w) ),
inference(mrr,[status(thm)],[1007,1217]),
[iquote('0:MRR:1007.2,1217.3')] ).
cnf(1197,plain,
( ~ ssPv4(u)
| ~ ssPv3(v)
| ~ ssRr(v,u)
| ssPv1(v)
| ssPv4(skf1(v)) ),
inference(sor,[status(thm)],[1187,944]),
[iquote('0:SoR:1187.0,944.1')] ).
cnf(1281,plain,
( ~ ssPv3(u)
| ~ ssPv1(v)
| ~ ssPv4(skf1(u))
| ~ ssRr(u,v) ),
inference(res,[status(thm),theory(equality)],[1,1177]),
[iquote('0:Res:1.0,1177.3')] ).
cnf(1177,plain,
( ~ ssPv3(u)
| ~ ssPv1(v)
| ~ ssPv4(w)
| ~ ssRr(u,w)
| ~ ssRr(u,v) ),
inference(mrr,[status(thm)],[37,1175]),
[iquote('0:MRR:37.1,1175.4')] ).
cnf(1188,plain,
( ~ ssPv2(u)
| ~ ssPv1(v)
| ~ ssPv4(skf1(u))
| ~ ssRr(u,v) ),
inference(res,[status(thm),theory(equality)],[1,1176]),
[iquote('0:Res:1.0,1176.3')] ).
cnf(1261,plain,
( ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssRr(u,v)
| ssPv3(skf1(u)) ),
inference(mrr,[status(thm)],[810,1260]),
[iquote('0:MRR:810.0,1260.2')] ).
cnf(1260,plain,
( ~ ssPv2(u)
| ssPv3(skf1(u))
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[1250]),
[iquote('0:Obv:1250.1')] ).
cnf(1238,plain,
( ~ ssPv2(u)
| ssPv2(skf1(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,1217]),
[iquote('0:Res:1.0,1217.1')] ).
cnf(1217,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv2(v)
| ssPv3(u) ),
inference(mrr,[status(thm)],[1216,5]),
[iquote('0:MRR:1216.2,5.1')] ).
cnf(1212,plain,
( ~ ssPv4(u)
| ssPv3(u)
| ssPv3(skf1(u)) ),
inference(mrr,[status(thm)],[147,1210]),
[iquote('0:MRR:147.2,1210.0')] ).
cnf(1211,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv3(v) ),
inference(mrr,[status(thm)],[2,1210]),
[iquote('0:MRR:2.3,1210.0')] ).
cnf(1210,plain,
( ~ ssPv2(u)
| ~ ssPv4(u) ),
inference(mrr,[status(thm)],[1209,165]),
[iquote('0:MRR:1209.2,165.0')] ).
cnf(1202,plain,
( ~ ssPv4(skf1(u))
| ~ ssPv2(u)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,1199]),
[iquote('0:Res:1.0,1199.2')] ).
cnf(1199,plain,
( ~ ssPv4(u)
| ~ ssPv2(v)
| ~ ssRr(v,u)
| ssPv1(v) ),
inference(obv,[status(thm),theory(equality)],[1192]),
[iquote('0:Obv:1192.3')] ).
cnf(1187,plain,
( ~ ssPv1(skf1(u))
| ~ ssPv4(v)
| ~ ssRr(u,v)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,1175]),
[iquote('0:Res:1.0,1175.2')] ).
cnf(1176,plain,
( ~ ssPv2(u)
| ~ ssPv1(v)
| ~ ssPv4(w)
| ~ ssRr(u,w)
| ~ ssRr(u,v) ),
inference(mrr,[status(thm)],[38,1175]),
[iquote('0:MRR:38.1,1175.4')] ).
cnf(1175,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(w,u)
| ~ ssRr(w,v)
| ssPv1(w) ),
inference(res,[status(thm),theory(equality)],[1,65]),
[iquote('0:Res:1.0,65.2')] ).
cnf(1133,plain,
( ~ ssPv2(u)
| ~ ssPv4(skf1(v))
| ~ ssRr(v,u)
| ssPv2(v) ),
inference(res,[status(thm),theory(equality)],[1,1091]),
[iquote('0:Res:1.0,1091.2')] ).
cnf(1091,plain,
( ~ ssPv2(u)
| ~ ssPv4(v)
| ~ ssRr(w,v)
| ~ ssRr(w,u)
| ssPv2(w) ),
inference(mrr,[status(thm)],[29,1090]),
[iquote('0:MRR:29.5,1090.0')] ).
cnf(1076,plain,
( ~ ssPv1(skf1(u))
| ~ ssPv1(u)
| ~ ssPv3(u)
| ssPv4(u)
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,1073]),
[iquote('0:Res:1.0,1073.3')] ).
cnf(1073,plain,
( ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssPv3(v)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv2(v) ),
inference(obv,[status(thm),theory(equality)],[1072]),
[iquote('0:Obv:1072.1')] ).
cnf(939,plain,
( ~ ssPv2(skf1(u))
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(v)
| ssPv4(w) ),
inference(res,[status(thm),theory(equality)],[1,478]),
[iquote('0:Res:1.0,478.1')] ).
cnf(944,plain,
( ~ ssPv3(u)
| ssPv1(skf1(u))
| ssPv4(skf1(u)) ),
inference(mrr,[status(thm)],[942,190,141]),
[iquote('0:MRR:942.1,942.4,190.1,141.0')] ).
cnf(943,plain,
( ~ ssPv2(u)
| ssPv1(skf1(u))
| ssPv3(u) ),
inference(mrr,[status(thm)],[940,140]),
[iquote('0:MRR:940.0,140.1')] ).
cnf(930,plain,
( ~ ssPv2(skf1(u))
| ssPv1(skf1(u)) ),
inference(mrr,[status(thm)],[929,143]),
[iquote('0:MRR:929.2,143.0')] ).
cnf(478,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ~ ssRr(v,x)
| ssPv3(w)
| ssPv4(x) ),
inference(mrr,[status(thm)],[48,477]),
[iquote('0:MRR:48.0,477.3')] ).
cnf(475,plain,
( ~ ssPv2(u)
| ~ ssRr(v,w)
| ~ ssRr(v,x)
| ~ ssRr(v,u)
| ssPv1(w)
| ssPv3(x) ),
inference(mrr,[status(thm)],[39,474]),
[iquote('0:MRR:39.4,474.1')] ).
cnf(874,plain,
( ~ ssPv2(skf1(u))
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv2(v)
| ssPv3(w) ),
inference(res,[status(thm),theory(equality)],[1,269]),
[iquote('0:Res:1.0,269.1')] ).
cnf(847,plain,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ssPv1(v)
| ssPv3(skf1(v)) ),
inference(con,[status(thm)],[846]),
[iquote('0:Con:846.2')] ).
cnf(64,plain,
( ~ ssPv3(u)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ~ ssRr(v,x)
| ssPv1(v)
| ssPv3(w) ),
inference(mrr,[status(thm)],[44,41]),
[iquote('0:MRR:44.1,41.5')] ).
cnf(32,axiom,
( ~ ssPv3(u)
| ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv3(w) ),
file('SYN756-1.p',unknown),
[] ).
cnf(747,plain,
( ~ ssPv3(u)
| ~ ssPv1(u)
| ssPv2(u)
| ssPv4(skf1(u))
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[1,587]),
[iquote('0:Res:1.0,587.2')] ).
cnf(656,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ssPv3(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,650]),
[iquote('0:Res:1.0,650.2')] ).
cnf(650,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv3(v) ),
inference(mrr,[status(thm)],[649,2,165]),
[iquote('0:MRR:649.1,649.5,2.2,165.1')] ).
cnf(586,plain,
( ~ ssPv1(u)
| ~ ssPv3(u)
| ~ ssRr(u,v)
| ssPv2(u)
| ssPv3(v)
| ssPv4(skf1(u)) ),
inference(obv,[status(thm),theory(equality)],[582]),
[iquote('0:Obv:582.0')] ).
cnf(576,plain,
( ~ ssPv1(u)
| ~ ssPv3(skf1(u))
| ~ ssRr(u,v)
| ssPv2(u)
| ssPv3(v) ),
inference(res,[status(thm),theory(equality)],[1,28]),
[iquote('0:Res:1.0,28.2')] ).
cnf(28,axiom,
( ~ ssPv1(u)
| ~ ssPv3(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv2(u)
| ssPv3(w) ),
file('SYN756-1.p',unknown),
[] ).
cnf(561,plain,
( ~ ssPv1(u)
| ~ ssPv4(skf1(u))
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv2(v) ),
inference(res,[status(thm),theory(equality)],[1,25]),
[iquote('0:Res:1.0,25.2')] ).
cnf(25,axiom,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(u)
| ssPv2(w) ),
file('SYN756-1.p',unknown),
[] ).
cnf(517,plain,
( ~ ssPv2(skf1(u))
| ssPv3(u)
| ssPv3(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,502]),
[iquote('0:Res:1.0,502.1')] ).
cnf(502,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv3(skf1(v)) ),
inference(res,[status(thm),theory(equality)],[1,477]),
[iquote('0:Res:1.0,477.1')] ).
cnf(477,plain,
( ~ ssPv2(u)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv3(w) ),
inference(con,[status(thm)],[476]),
[iquote('0:Con:476.3')] ).
cnf(394,plain,
( ~ ssPv1(u)
| ~ ssPv3(u)
| ssPv4(u)
| ssPv2(skf1(u))
| ssPv4(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,361]),
[iquote('0:Res:1.0,361.2')] ).
cnf(361,plain,
( ~ ssPv1(u)
| ~ ssPv3(u)
| ~ ssRr(u,v)
| ssPv4(u)
| ssPv2(v)
| ssPv4(skf1(u)) ),
inference(obv,[status(thm),theory(equality)],[360]),
[iquote('0:Obv:360.0')] ).
cnf(363,plain,
( ~ ssPv2(skf1(u))
| ~ ssRr(u,v)
| ssPv1(v)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,354]),
[iquote('0:Res:1.0,354.1')] ).
cnf(354,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv1(w)
| ssPv1(v) ),
inference(mrr,[status(thm)],[353,265,61]),
[iquote('0:MRR:353.1,353.4,265.3,61.0')] ).
cnf(355,plain,
( ~ ssPv3(u)
| ~ ssPv3(skf1(u))
| ~ ssRr(u,v)
| ssPv4(u)
| ssPv2(v) ),
inference(res,[status(thm),theory(equality)],[1,21]),
[iquote('0:Res:1.0,21.2')] ).
cnf(21,axiom,
( ~ ssPv3(u)
| ~ ssPv3(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv4(u)
| ssPv2(w) ),
file('SYN756-1.p',unknown),
[] ).
cnf(343,plain,
( ~ ssPv3(u)
| ~ ssPv1(u)
| ssPv3(skf1(u))
| ssPv4(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,295]),
[iquote('0:Res:1.0,295.2')] ).
cnf(295,plain,
( ~ ssPv3(u)
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv3(skf1(u))
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[1,20]),
[iquote('0:Res:1.0,20.2')] ).
cnf(302,plain,
( ~ ssPv1(u)
| ssPv3(u)
| ssPv1(skf1(u))
| ssPv3(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,294]),
[iquote('0:Res:1.0,294.1')] ).
cnf(294,plain,
( ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv1(v)
| ssPv3(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,14]),
[iquote('0:Res:1.0,14.1')] ).
cnf(20,axiom,
( ~ ssPv3(u)
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(v)
| ssPv4(w) ),
file('SYN756-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ ssPv1(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(u)
| ssPv1(w)
| ssPv3(v) ),
file('SYN756-1.p',unknown),
[] ).
cnf(291,plain,
( ~ ssPv2(skf1(u))
| ~ ssPv3(v)
| ~ ssRr(u,v)
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,268]),
[iquote('0:Res:1.0,268.2')] ).
cnf(268,plain,
( ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssRr(w,u)
| ~ ssRr(w,v)
| ssPv2(w) ),
inference(mrr,[status(thm)],[34,265]),
[iquote('0:MRR:34.0,265.3')] ).
cnf(288,plain,
( ~ ssPv2(skf1(u))
| ~ ssRr(u,v)
| ssPv2(u)
| ssPv2(v) ),
inference(res,[status(thm),theory(equality)],[1,267]),
[iquote('0:Res:1.0,267.1')] ).
cnf(278,plain,
( ~ ssPv2(skf1(u))
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv2(v) ),
inference(res,[status(thm),theory(equality)],[1,266]),
[iquote('0:Res:1.0,266.1')] ).
cnf(277,plain,
( ~ ssPv2(skf1(u))
| ssPv2(u)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,265]),
[iquote('0:Res:1.0,265.1')] ).
cnf(265,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv3(v) ),
inference(mrr,[status(thm)],[264,6]),
[iquote('0:MRR:264.3,6.0')] ).
cnf(180,plain,
( ~ ssPv3(u)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv1(v)
| ssPv4(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,15]),
[iquote('0:Res:1.0,15.1')] ).
cnf(15,axiom,
( ~ ssPv3(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv1(u)
| ssPv1(w)
| ssPv4(v) ),
file('SYN756-1.p',unknown),
[] ).
cnf(146,plain,
( ~ ssPv1(skf1(u))
| ssPv3(u)
| ssPv2(u)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,4]),
[iquote('0:Res:1.0,4.1')] ).
cnf(4,axiom,
( ~ ssPv1(u)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv2(v)
| ssPv1(v) ),
file('SYN756-1.p',unknown),
[] ).
cnf(143,plain,
( ~ ssPv3(u)
| ~ ssPv2(u)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,52]),
[iquote('0:Res:1.0,52.2')] ).
cnf(141,plain,
( ~ ssPv4(u)
| ~ ssPv3(u)
| ssPv1(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,57]),
[iquote('0:Res:1.0,57.2')] ).
cnf(57,plain,
( ~ ssPv4(u)
| ~ ssPv3(u)
| ~ ssRr(u,v)
| ssPv1(v) ),
inference(con,[status(thm)],[54]),
[iquote('0:Con:54.2')] ).
cnf(140,plain,
( ~ ssPv2(u)
| ssPv1(u)
| ssPv1(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,61]),
[iquote('0:Res:1.0,61.1')] ).
cnf(61,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv1(v) ),
inference(mrr,[status(thm)],[3,60]),
[iquote('0:MRR:3.4,60.1')] ).
cnf(1,axiom,
ssRr(u,skf1(u)),
file('SYN756-1.p',unknown),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN756-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 23:09:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.55
% 0.19/0.55 SPASS V 3.9
% 0.19/0.55 SPASS beiseite: Completion found.
% 0.19/0.55 % SZS status CounterSatisfiable
% 0.19/0.55 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.55 SPASS derived 1768 clauses, backtracked 0 clauses, performed 0 splits and kept 259 clauses.
% 0.19/0.55 SPASS allocated 77793 KBytes.
% 0.19/0.55 SPASS spent 0:00:00.20 on the problem.
% 0.19/0.55 0:00:00.04 for the input.
% 0.19/0.55 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.55 0:00:00.04 for inferences.
% 0.19/0.55 0:00:00.00 for the backtracking.
% 0.19/0.55 0:00:00.10 for the reduction.
% 0.19/0.55
% 0.19/0.55
% 0.19/0.55 The saturated set of worked-off clauses is :
% 0.19/0.55 % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------