TSTP Solution File: LCL653+1.001 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL653+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 14:38:27 EDT 2022
% Result : CounterSatisfiable 0.45s 0.65s
% Output : Saturation 0.48s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 1935)
% Comments :
%------------------------------------------------------------------------------
cnf(1963,plain,
( ~ r1(skc5,skc5)
| ~ r1(u,skc5)
| ~ r1(skc5,u)
| ~ r1(v,u)
| ~ r1(skc5,v)
| r1(v,skf16(v)) ),
inference(ssi,[status(thm)],[1935,1320]),
[iquote('3:SSi:1935.0,1320.0')] ).
cnf(1962,plain,
( ~ skP4(u)
| ~ p2(skf16(v))
| ~ r1(skc5,skc5)
| ~ r1(v,skc5)
| ~ r1(skf16(v),u)
| ~ r1(skc5,v) ),
inference(obv,[status(thm),theory(equality)],[1947]),
[iquote('4:Obv:1947.4')] ).
cnf(1938,plain,
( ~ p2(skf16(skf22(u)))
| ~ r1(skc5,skc5)
| ~ r1(skf22(u),skc5)
| ~ r1(skc5,skf22(u)) ),
inference(res,[status(thm),theory(equality)],[1927,1431]),
[iquote('6:Res:1927.3,1431.1')] ).
cnf(1968,plain,
( ~ skP2(skf16(u))
| ~ r1(skc5,skc5)
| ~ r1(u,skc5)
| ~ r1(skc5,u) ),
inference(sor,[status(thm)],[1961,1346]),
[iquote('4:SoR:1961.0,1346.1')] ).
cnf(1961,plain,
( ~ skP4(skf16(u))
| ~ r1(skc5,skc5)
| ~ r1(u,skc5)
| ~ r1(skc5,u) ),
inference(obv,[status(thm),theory(equality)],[1936]),
[iquote('3:Obv:1936.3')] ).
cnf(1959,plain,
( ~ skP0(u)
| ~ r1(skc5,skc5)
| ~ r1(skc12,skc5)
| ~ r1(u,skf16(skc12)) ),
inference(mrr,[status(thm)],[1950,1]),
[iquote('3:MRR:1950.3,1.0')] ).
cnf(1957,plain,
( ~ r1(skc5,skc5)
| ~ r1(skf11(u),skc5)
| ~ r1(skc5,skf11(u)) ),
inference(ssi,[status(thm)],[1937,1320]),
[iquote('5:SSi:1937.0,1320.0')] ).
cnf(1876,plain,
( ~ p1(skf14(skf14(skc5)))
| ~ r1(skc5,skc5)
| ~ r1(u,skf14(skc5))
| ~ r1(skc5,u)
| p1(skf22(skf11(skf14(skc5))))
| r1(u,skf16(u)) ),
inference(res,[status(thm),theory(equality)],[1748,31]),
[iquote('8:Res:1748.2,31.1')] ).
cnf(1956,plain,
( ~ skP2(skf16(skc12))
| ~ r1(skc5,skc5)
| ~ r1(skc12,skc5) ),
inference(mrr,[status(thm)],[1934,1]),
[iquote('4:MRR:1934.3,1.0')] ).
cnf(1927,plain,
( ~ r1(skc5,skc5)
| ~ r1(u,skc5)
| ~ r1(skc5,u)
| r1(u,skf16(u)) ),
inference(res,[status(thm),theory(equality)],[4,1917]),
[iquote('3:Res:4.0,1917.0')] ).
cnf(1917,plain,
( ~ r1(u,skc9)
| ~ r1(skc5,u)
| ~ r1(v,u)
| ~ r1(skc5,v)
| r1(v,skf16(v)) ),
inference(ssi,[status(thm)],[1892,1320]),
[iquote('3:SSi:1892.0,1320.0')] ).
cnf(1916,plain,
( ~ skP4(u)
| ~ p2(skf16(v))
| ~ r1(v,skc9)
| ~ r1(skf16(v),u)
| ~ r1(skc5,v) ),
inference(obv,[status(thm),theory(equality)],[1902]),
[iquote('4:Obv:1902.3')] ).
cnf(1859,plain,
( ~ p1(skf14(skf15(skc5)))
| ~ r1(skc12,skc5)
| ~ r1(u,skf15(skc5))
| ~ r1(skc5,u)
| p1(skf22(skf11(skf15(skc5))))
| r1(u,skf16(u)) ),
inference(res,[status(thm),theory(equality)],[1738,31]),
[iquote('7:Res:1738.2,31.1')] ).
cnf(1895,plain,
( ~ p2(skf16(skf22(u)))
| ~ r1(skf22(u),skc9)
| ~ r1(skc5,skf22(u)) ),
inference(res,[status(thm),theory(equality)],[1884,1431]),
[iquote('6:Res:1884.2,1431.1')] ).
cnf(1926,plain,
( ~ skP2(skf16(u))
| ~ r1(u,skc9)
| ~ r1(skc5,u) ),
inference(sor,[status(thm)],[1913,1346]),
[iquote('4:SoR:1913.0,1346.1')] ).
cnf(1913,plain,
( ~ skP4(skf16(u))
| ~ r1(u,skc9)
| ~ r1(skc5,u) ),
inference(obv,[status(thm),theory(equality)],[1893]),
[iquote('3:Obv:1893.2')] ).
cnf(1915,plain,
( ~ skP0(u)
| ~ r1(skc12,skc9)
| ~ r1(u,skf16(skc12)) ),
inference(mrr,[status(thm)],[1905,1]),
[iquote('3:MRR:1905.2,1.0')] ).
cnf(1852,plain,
( ~ p1(skf14(skf14(skc5)))
| ~ r1(skc5,skc5)
| ~ r1(u,skf14(skc5))
| ~ r1(skc5,u)
| p1(skf22(skf22(skf14(skc5))))
| r1(u,skf16(u)) ),
inference(res,[status(thm),theory(equality)],[1733,31]),
[iquote('8:Res:1733.2,31.1')] ).
cnf(1914,plain,
( ~ skP0(u)
| ~ r1(skc5,skc5)
| ~ r1(u,skf16(skc5)) ),
inference(mrr,[status(thm)],[1900,4]),
[iquote('7:MRR:1900.1,4.0')] ).
cnf(1912,plain,
( ~ r1(skf11(u),skc9)
| ~ r1(skc5,skf11(u)) ),
inference(ssi,[status(thm)],[1894,1320]),
[iquote('5:SSi:1894.0,1320.0')] ).
cnf(1911,plain,
( ~ skP2(skf16(skc12))
| ~ r1(skc12,skc9) ),
inference(mrr,[status(thm)],[1891,1]),
[iquote('4:MRR:1891.2,1.0')] ).
cnf(1910,plain,
( ~ p4(skf16(skc5))
| ~ r1(skc5,skc5) ),
inference(mrr,[status(thm)],[1889,4]),
[iquote('3:MRR:1889.1,4.0')] ).
cnf(1835,plain,
( ~ p1(skf14(skf15(skc5)))
| ~ r1(skc12,skc5)
| ~ r1(u,skf15(skc5))
| ~ r1(skc5,u)
| p1(skf22(skf22(skf15(skc5))))
| r1(u,skf16(u)) ),
inference(res,[status(thm),theory(equality)],[1724,31]),
[iquote('7:Res:1724.2,31.1')] ).
cnf(1909,plain,
( ~ skP4(skf16(skc5))
| ~ r1(skc5,skc5) ),
inference(mrr,[status(thm)],[1888,4]),
[iquote('7:MRR:1888.1,4.0')] ).
cnf(1908,plain,
( ~ skP0(skf16(skc5))
| ~ r1(skc5,skc5) ),
inference(mrr,[status(thm)],[1887,4]),
[iquote('7:MRR:1887.1,4.0')] ).
cnf(1907,plain,
( ~ skP2(skf16(skc5))
| ~ r1(skc5,skc5) ),
inference(mrr,[status(thm)],[1886,4]),
[iquote('7:MRR:1886.1,4.0')] ).
cnf(1906,plain,
( ~ skP1(skf16(skc5))
| ~ r1(skc5,skc5) ),
inference(mrr,[status(thm)],[1885,4]),
[iquote('7:MRR:1885.1,4.0')] ).
cnf(1884,plain,
( ~ r1(u,skc9)
| ~ r1(skc5,u)
| r1(u,skf16(u)) ),
inference(mrr,[status(thm)],[1883,4]),
[iquote('3:MRR:1883.0,4.0')] ).
cnf(1830,plain,
( ~ r1(u,skc10)
| ~ r1(skc5,u)
| ~ r1(v,u)
| ~ r1(skc5,v)
| r1(v,skf16(v)) ),
inference(ssi,[status(thm)],[1812,1320]),
[iquote('3:SSi:1812.0,1320.0')] ).
cnf(1785,plain,
( ~ p1(skf14(u))
| ~ r1(skc5,u)
| ~ r1(v,u)
| ~ r1(skc5,v)
| r1(v,skf16(v)) ),
inference(res,[status(thm),theory(equality)],[1747,31]),
[iquote('7:Res:1747.1,31.1')] ).
cnf(1803,plain,
( ~ skP4(u)
| ~ p2(skf14(v))
| ~ r1(skf14(v),u)
| ~ r1(skc5,v) ),
inference(obv,[status(thm),theory(equality)],[1796]),
[iquote('7:Obv:1796.2')] ).
cnf(1762,plain,
( ~ p1(skf14(skc12))
| ~ r1(u,skc12)
| ~ r1(skc5,u)
| r1(u,skf16(u)) ),
inference(res,[status(thm),theory(equality)],[1760,31]),
[iquote('10:Res:1760.0,31.1')] ).
cnf(1829,plain,
( ~ skP4(u)
| ~ p2(skf16(v))
| ~ r1(v,skc10)
| ~ r1(skf16(v),u)
| ~ r1(skc5,v) ),
inference(obv,[status(thm),theory(equality)],[1821]),
[iquote('4:Obv:1821.3')] ).
cnf(1815,plain,
( ~ p2(skf16(skf22(u)))
| ~ r1(skf22(u),skc10)
| ~ r1(skc5,skf22(u)) ),
inference(res,[status(thm),theory(equality)],[1722,1431]),
[iquote('6:Res:1722.2,1431.1')] ).
cnf(1748,plain,
( ~ r1(skc5,skc5)
| p1(skf22(skf11(skf14(skc5))))
| r1(skf14(skc5),skf14(skf14(skc5))) ),
inference(obv,[status(thm),theory(equality)],[1741]),
[iquote('8:Obv:1741.0')] ).
cnf(1870,plain,
( ~ p1(skf14(skf11(skc5)))
| ~ r1(skc5,skc5)
| p1(skf22(skf11(skf11(skc5)))) ),
inference(res,[status(thm),theory(equality)],[1740,1425]),
[iquote('7:Res:1740.2,1425.1')] ).
cnf(1740,plain,
( ~ r1(skc5,skc5)
| p1(skf22(skf11(skf11(skc5))))
| r1(skf11(skc5),skf14(skf11(skc5))) ),
inference(res,[status(thm),theory(equality)],[1482,1660]),
[iquote('7:Res:1482.1,1660.0')] ).
cnf(1738,plain,
( ~ r1(skc12,skc5)
| p1(skf22(skf11(skf15(skc5))))
| r1(skf15(skc5),skf14(skf15(skc5))) ),
inference(res,[status(thm),theory(equality)],[15,1660]),
[iquote('7:Res:15.1,1660.0')] ).
cnf(1733,plain,
( ~ r1(skc5,skc5)
| p1(skf22(skf22(skf14(skc5))))
| r1(skf14(skc5),skf14(skf14(skc5))) ),
inference(obv,[status(thm),theory(equality)],[1727]),
[iquote('8:Obv:1727.0')] ).
cnf(1846,plain,
( ~ p1(skf14(skf11(skc5)))
| ~ r1(skc5,skc5)
| p1(skf22(skf22(skf11(skc5)))) ),
inference(res,[status(thm),theory(equality)],[1726,1425]),
[iquote('7:Res:1726.2,1425.1')] ).
cnf(1726,plain,
( ~ r1(skc5,skc5)
| p1(skf22(skf22(skf11(skc5))))
| r1(skf11(skc5),skf14(skf11(skc5))) ),
inference(res,[status(thm),theory(equality)],[1482,1658]),
[iquote('7:Res:1482.1,1658.0')] ).
cnf(1724,plain,
( ~ r1(skc12,skc5)
| p1(skf22(skf22(skf15(skc5))))
| r1(skf15(skc5),skf14(skf15(skc5))) ),
inference(res,[status(thm),theory(equality)],[15,1658]),
[iquote('7:Res:15.1,1658.0')] ).
cnf(1834,plain,
skP4(skc5),
inference(spt,[],[1725]),
[iquote('11:Spt:1725.0')] ).
cnf(1833,plain,
( ~ skP2(skf16(u))
| ~ r1(u,skc10)
| ~ r1(skc5,u) ),
inference(sor,[status(thm)],[1827,1346]),
[iquote('4:SoR:1827.0,1346.1')] ).
cnf(1827,plain,
( ~ skP4(skf16(u))
| ~ r1(u,skc10)
| ~ r1(skc5,u) ),
inference(obv,[status(thm),theory(equality)],[1813]),
[iquote('3:Obv:1813.2')] ).
cnf(1773,plain,
( ~ skP4(u)
| ~ p2(skf14(skc12))
| ~ r1(skf14(skc12),u) ),
inference(mrr,[status(thm)],[1770,1]),
[iquote('10:MRR:1770.3,1.0')] ).
cnf(1828,plain,
( ~ skP0(u)
| ~ r1(skc12,skc10)
| ~ r1(u,skf16(skc12)) ),
inference(mrr,[status(thm)],[1824,1]),
[iquote('3:MRR:1824.2,1.0')] ).
cnf(1758,plain,
( ~ skP4(u)
| ~ p2(skf14(skc9))
| ~ r1(skf14(skc9),u) ),
inference(mrr,[status(thm)],[1756,4]),
[iquote('9:MRR:1756.3,4.0')] ).
cnf(1826,plain,
( ~ r1(skf11(u),skc10)
| ~ r1(skc5,skf11(u)) ),
inference(ssi,[status(thm)],[1814,1320]),
[iquote('5:SSi:1814.0,1320.0')] ).
cnf(1788,plain,
( ~ p2(skf14(skf22(u)))
| ~ r1(skc5,skf22(u)) ),
inference(res,[status(thm),theory(equality)],[1747,1431]),
[iquote('7:Res:1747.1,1431.1')] ).
cnf(1825,plain,
( ~ skP2(skf16(skc12))
| ~ r1(skc12,skc10) ),
inference(mrr,[status(thm)],[1811,1]),
[iquote('4:MRR:1811.2,1.0')] ).
cnf(1722,plain,
( ~ r1(u,skc10)
| ~ r1(skc5,u)
| r1(u,skf16(u)) ),
inference(sor,[status(thm)],[1408,1339]),
[iquote('3:SoR:1408.0,1339.0')] ).
cnf(1787,plain,
( ~ p1(skf14(skf11(u)))
| ~ r1(skc5,skf11(u)) ),
inference(res,[status(thm),theory(equality)],[1747,1425]),
[iquote('7:Res:1747.1,1425.1')] ).
cnf(1804,plain,
( ~ skP2(skf14(u))
| ~ r1(skc5,u) ),
inference(sor,[status(thm)],[1802,1346]),
[iquote('7:SoR:1802.0,1346.1')] ).
cnf(1802,plain,
( ~ skP4(skf14(u))
| ~ r1(skc5,u) ),
inference(obv,[status(thm),theory(equality)],[1786]),
[iquote('7:Obv:1786.1')] ).
cnf(1800,plain,
~ r1(skc5,skc10),
inference(mrr,[status(thm)],[1783,7]),
[iquote('7:MRR:1783.1,7.0')] ).
cnf(1488,plain,
( ~ p1(skf11(u))
| ~ r1(skc5,u)
| ~ r1(v,u)
| ~ r1(skc5,v)
| r1(v,skf16(v)) ),
inference(mrr,[status(thm)],[1456,1481]),
[iquote('7:MRR:1456.4,1481.0')] ).
cnf(1747,plain,
( ~ r1(skc5,u)
| r1(u,skf14(u)) ),
inference(mrr,[status(thm)],[1736,1485]),
[iquote('7:MRR:1736.1,1485.0')] ).
cnf(1771,plain,
( ~ skP0(u)
| ~ r1(u,skf14(skc12)) ),
inference(res,[status(thm),theory(equality)],[1760,1322]),
[iquote('10:Res:1760.0,1322.1')] ).
cnf(1772,plain,
~ skP4(skf14(skc12)),
inference(mrr,[status(thm)],[1763,1]),
[iquote('10:MRR:1763.1,1.0')] ).
cnf(1761,plain,
~ skP2(skf14(skc12)),
inference(res,[status(thm),theory(equality)],[1760,1344]),
[iquote('10:Res:1760.0,1344.1')] ).
cnf(1402,plain,
( ~ p1(skf15(u))
| ~ r1(skc12,u)
| ~ r1(v,u)
| ~ r1(skc5,v)
| r1(v,skf16(v)) ),
inference(res,[status(thm),theory(equality)],[15,31]),
[iquote('0:Res:15.1,31.1')] ).
cnf(1760,plain,
r1(skc12,skf14(skc12)),
inference(spt,[],[1744]),
[iquote('10:Spt:1744.1')] ).
cnf(1759,plain,
~ skP2(skf14(skc9)),
inference(sor,[status(thm)],[1757,1346]),
[iquote('9:SoR:1757.0,1346.1')] ).
cnf(1757,plain,
~ skP4(skf14(skc9)),
inference(mrr,[status(thm)],[1751,4]),
[iquote('9:MRR:1751.1,4.0')] ).
cnf(1749,plain,
r1(skc9,skf14(skc9)),
inference(spt,[],[1743]),
[iquote('9:Spt:1743.1')] ).
cnf(1385,plain,
( ~ skP4(u)
| ~ p2(skf15(v))
| ~ r1(skc12,v)
| ~ r1(skf15(v),u)
| ~ r1(skc5,v) ),
inference(res,[status(thm),theory(equality)],[15,1343]),
[iquote('4:Res:15.1,1343.2')] ).
cnf(1408,plain,
( ~ p1(skf22(u))
| ~ r1(v,u)
| ~ r1(skc5,v)
| r1(v,skf16(v)) ),
inference(mrr,[status(thm)],[1403,1330]),
[iquote('3:MRR:1403.3,1330.0')] ).
cnf(1644,plain,
( ~ skP2(skf15(u))
| ~ r1(skc12,u)
| ~ r1(skc5,u) ),
inference(sor,[status(thm)],[1331,1346]),
[iquote('4:SoR:1331.0,1346.1')] ).
cnf(1490,plain,
( ~ skP4(u)
| ~ p2(skf11(v))
| ~ r1(skf11(v),u)
| ~ r1(skc5,v) ),
inference(mrr,[status(thm)],[1467,1481]),
[iquote('7:MRR:1467.4,1481.0')] ).
cnf(1563,plain,
( ~ skP1(u)
| ~ r1(skc5,skf15(u))
| ~ r1(skc12,u) ),
inference(res,[status(thm),theory(equality)],[1482,1441]),
[iquote('7:Res:1482.1,1441.2')] ).
cnf(1561,plain,
( ~ skP1(u)
| ~ r1(skc12,skf15(u))
| ~ r1(skc12,u) ),
inference(res,[status(thm),theory(equality)],[15,1441]),
[iquote('7:Res:15.1,1441.2')] ).
cnf(1444,plain,
( ~ skP4(u)
| ~ p2(skf22(v))
| ~ r1(skf22(v),u)
| ~ r1(skc5,v) ),
inference(mrr,[status(thm)],[1386,1437]),
[iquote('7:MRR:1386.4,1437.0')] ).
cnf(1331,plain,
( ~ skP4(skf15(u))
| ~ r1(skc12,u)
| ~ r1(skc5,u) ),
inference(res,[status(thm),theory(equality)],[15,1330]),
[iquote('3:Res:15.1,1330.1')] ).
cnf(1622,plain,
( ~ skP0(u)
| ~ r1(skc5,skc5)
| ~ r1(u,skf14(skc5)) ),
inference(obv,[status(thm),theory(equality)],[1618]),
[iquote('8:Obv:1618.1')] ).
cnf(1617,plain,
( ~ skP0(u)
| ~ r1(skc5,skc5)
| ~ r1(u,skf11(skc5)) ),
inference(res,[status(thm),theory(equality)],[1482,1489]),
[iquote('7:Res:1482.1,1489.1')] ).
cnf(1615,plain,
( ~ skP0(u)
| ~ r1(skc12,skc5)
| ~ r1(u,skf15(skc5)) ),
inference(res,[status(thm),theory(equality)],[15,1489]),
[iquote('7:Res:15.1,1489.1')] ).
cnf(1604,plain,
( ~ skP0(u)
| ~ r1(skc12,skc12)
| ~ r1(u,skf15(skc12)) ),
inference(res,[status(thm),theory(equality)],[15,1322]),
[iquote('2:Res:15.1,1322.1')] ).
cnf(1621,plain,
( ~ skP0(u)
| ~ r1(u,skc12) ),
inference(res,[status(thm),theory(equality)],[1,1489]),
[iquote('7:Res:1.0,1489.1')] ).
cnf(1489,plain,
( ~ skP0(u)
| ~ r1(skc5,v)
| ~ r1(u,v) ),
inference(mrr,[status(thm)],[1323,1481]),
[iquote('7:MRR:1323.3,1481.0')] ).
cnf(1610,plain,
( ~ skP0(u)
| ~ r1(u,skf11(skc12)) ),
inference(mrr,[status(thm)],[1606,1]),
[iquote('7:MRR:1606.1,1.0')] ).
cnf(1609,plain,
( ~ skP0(u)
| ~ r1(u,skf22(skc12)) ),
inference(mrr,[status(thm)],[1605,1448]),
[iquote('7:MRR:1605.2,1448.0')] ).
cnf(1405,plain,
( ~ p1(skc12)
| ~ r1(u,skc5)
| ~ r1(skc5,u)
| r1(u,skf16(u)) ),
inference(res,[status(thm),theory(equality)],[1,31]),
[iquote('0:Res:1.0,31.1')] ).
cnf(1322,plain,
( ~ skP0(u)
| ~ r1(skc12,v)
| ~ r1(u,v) ),
inference(res,[status(thm),theory(equality)],[15,1321]),
[iquote('2:Res:15.1,1321.1')] ).
cnf(1562,plain,
( ~ skP1(u)
| ~ r1(skc12,u)
| skP4(skf15(u)) ),
inference(res,[status(thm),theory(equality)],[12,1441]),
[iquote('7:Res:12.1,1441.2')] ).
cnf(1522,plain,
( ~ skP1(u)
| ~ r1(skc5,skf22(u))
| skP4(u) ),
inference(res,[status(thm),theory(equality)],[1482,1470]),
[iquote('7:Res:1482.1,1470.1')] ).
cnf(1520,plain,
( ~ skP1(u)
| ~ r1(skc12,skf22(u))
| skP4(u) ),
inference(res,[status(thm),theory(equality)],[15,1470]),
[iquote('7:Res:15.1,1470.1')] ).
cnf(1404,plain,
( ~ p1(skc9)
| ~ r1(u,skc5)
| ~ r1(skc5,u)
| r1(u,skf16(u)) ),
inference(res,[status(thm),theory(equality)],[4,31]),
[iquote('0:Res:4.0,31.1')] ).
cnf(1415,plain,
( ~ skP0(u)
| ~ r1(skc12,u)
| skP4(skf15(u)) ),
inference(res,[status(thm),theory(equality)],[15,1324]),
[iquote('2:Res:15.1,1324.1')] ).
cnf(1492,plain,
( ~ p2(skf11(skf22(u)))
| ~ r1(skc5,skf22(u)) ),
inference(mrr,[status(thm)],[1459,1481]),
[iquote('7:MRR:1459.2,1481.0')] ).
cnf(1491,plain,
( ~ p1(skf11(skf11(u)))
| ~ r1(skc5,skf11(u)) ),
inference(mrr,[status(thm)],[1458,1481]),
[iquote('7:MRR:1458.2,1481.0')] ).
cnf(1432,plain,
( ~ p2(skf15(skf22(u)))
| ~ r1(skc12,skf22(u)) ),
inference(res,[status(thm),theory(equality)],[15,1431]),
[iquote('6:Res:15.1,1431.1')] ).
cnf(1427,plain,
( ~ p1(skf15(skf11(u)))
| ~ r1(skc12,skf11(u)) ),
inference(res,[status(thm),theory(equality)],[15,1425]),
[iquote('5:Res:15.1,1425.1')] ).
cnf(1560,plain,
( ~ skP1(skf14(skc5))
| ~ r1(skc5,skc5) ),
inference(mrr,[status(thm)],[1557,4]),
[iquote('7:MRR:1557.1,4.0')] ).
cnf(1388,plain,
( ~ skP4(u)
| ~ p2(skc12)
| ~ r1(skc12,u)
| ~ r1(skc5,skc5) ),
inference(res,[status(thm),theory(equality)],[1,1343]),
[iquote('4:Res:1.0,1343.2')] ).
cnf(1556,plain,
( ~ skP1(skf11(skc5))
| ~ r1(skc5,skc5) ),
inference(res,[status(thm),theory(equality)],[1482,1527]),
[iquote('7:Res:1482.1,1527.1')] ).
cnf(1554,plain,
( ~ skP1(skf15(skc5))
| ~ r1(skc12,skc5) ),
inference(res,[status(thm),theory(equality)],[15,1527]),
[iquote('7:Res:15.1,1527.1')] ).
cnf(1549,plain,
( ~ p4(skf14(skc5))
| ~ r1(skc5,skc5) ),
inference(mrr,[status(thm)],[1531,4]),
[iquote('0:MRR:1531.1,4.0')] ).
cnf(1387,plain,
( ~ skP4(u)
| ~ p2(skc9)
| ~ r1(skc9,u)
| ~ r1(skc5,skc5) ),
inference(res,[status(thm),theory(equality)],[4,1343]),
[iquote('4:Res:4.0,1343.2')] ).
cnf(1547,plain,
( ~ skP0(skf14(skc5))
| ~ r1(skc5,skc5) ),
inference(mrr,[status(thm)],[1529,4]),
[iquote('7:MRR:1529.1,4.0')] ).
cnf(1441,plain,
( ~ skP1(u)
| ~ r1(skc12,u)
| ~ r1(skf15(u),v) ),
inference(mrr,[status(thm)],[115,1434]),
[iquote('7:MRR:115.0,1434.0')] ).
cnf(1559,plain,
~ skP1(skc12),
inference(res,[status(thm),theory(equality)],[1,1527]),
[iquote('7:Res:1.0,1527.1')] ).
cnf(1558,plain,
~ skP1(skc9),
inference(res,[status(thm),theory(equality)],[4,1527]),
[iquote('7:Res:4.0,1527.1')] ).
cnf(1527,plain,
( ~ skP1(u)
| ~ r1(skc5,u) ),
inference(mrr,[status(thm)],[1525,1437]),
[iquote('7:MRR:1525.2,1437.0')] ).
cnf(1521,plain,
( ~ skP1(u)
| skP4(skf22(u))
| skP4(u) ),
inference(res,[status(thm),theory(equality)],[12,1470]),
[iquote('7:Res:12.1,1470.1')] ).
cnf(1523,plain,
( ~ skP2(skf11(u))
| ~ r1(skc5,u) ),
inference(sor,[status(thm)],[1485,1346]),
[iquote('7:SoR:1485.0,1346.1')] ).
cnf(1485,plain,
( ~ skP4(skf11(u))
| ~ r1(skc5,u) ),
inference(mrr,[status(thm)],[1341,1481]),
[iquote('7:MRR:1341.2,1481.0')] ).
cnf(1470,plain,
( ~ skP1(u)
| ~ r1(skf22(u),v)
| skP4(u) ),
inference(res,[status(thm),theory(equality)],[12,1440]),
[iquote('7:Res:12.1,1440.1')] ).
cnf(1512,plain,
( ~ skP0(skf11(skc5))
| ~ r1(skc5,skc5) ),
inference(res,[status(thm),theory(equality)],[1482,1481]),
[iquote('7:Res:1482.1,1481.1')] ).
cnf(1510,plain,
( ~ skP0(skf15(skc5))
| ~ r1(skc12,skc5) ),
inference(res,[status(thm),theory(equality)],[15,1481]),
[iquote('7:Res:15.1,1481.1')] ).
cnf(1484,plain,
( ~ skP2(u)
| ~ r1(skc5,u) ),
inference(mrr,[status(thm)],[1345,1481]),
[iquote('7:MRR:1345.2,1481.0')] ).
cnf(1392,plain,
( ~ skP4(u)
| ~ p2(skc11)
| ~ r1(skc11,u) ),
inference(mrr,[status(thm)],[1390,4]),
[iquote('4:MRR:1390.3,4.0')] ).
cnf(1514,plain,
~ skP0(skc12),
inference(res,[status(thm),theory(equality)],[1,1481]),
[iquote('7:Res:1.0,1481.1')] ).
cnf(1481,plain,
( ~ skP0(u)
| ~ r1(skc5,u) ),
inference(mrr,[status(thm)],[1479,1437]),
[iquote('7:MRR:1479.2,1437.0')] ).
cnf(1507,plain,
~ skP2(skf11(skc12)),
inference(mrr,[status(thm)],[1496,1]),
[iquote('7:MRR:1496.1,1.0')] ).
cnf(1482,plain,
( ~ r1(skc5,u)
| r1(u,skf11(u)) ),
inference(mrr,[status(thm)],[18,1481]),
[iquote('7:MRR:18.1,1481.0')] ).
cnf(1416,plain,
( ~ skP0(u)
| skP4(u)
| skP4(skf22(u)) ),
inference(res,[status(thm),theory(equality)],[12,1324]),
[iquote('2:Res:12.1,1324.1')] ).
cnf(1477,plain,
( ~ skP2(skf22(u))
| ~ r1(skc5,u) ),
inference(sor,[status(thm)],[1443,1346]),
[iquote('7:SoR:1443.0,1346.1')] ).
cnf(1443,plain,
( ~ skP4(skf22(u))
| ~ r1(skc5,u) ),
inference(mrr,[status(thm)],[1333,1437]),
[iquote('7:MRR:1333.2,1437.0')] ).
cnf(1433,plain,
( ~ p2(skf22(skf22(u)))
| skP4(skf22(u)) ),
inference(res,[status(thm),theory(equality)],[12,1431]),
[iquote('6:Res:12.1,1431.1')] ).
cnf(1428,plain,
( ~ p1(skf22(skf11(u)))
| skP4(skf11(u)) ),
inference(res,[status(thm),theory(equality)],[12,1425]),
[iquote('5:Res:12.1,1425.1')] ).
cnf(1476,plain,
( ~ skP2(skf15(skc5))
| ~ r1(skc12,skc5) ),
inference(sor,[status(thm)],[1445,1346]),
[iquote('7:SoR:1445.0,1346.1')] ).
cnf(1445,plain,
( ~ skP4(skf15(skc5))
| ~ r1(skc12,skc5) ),
inference(res,[status(thm),theory(equality)],[15,1437]),
[iquote('7:Res:15.1,1437.1')] ).
cnf(1436,plain,
( ~ skP1(skc5)
| ~ r1(skc9,u) ),
inference(mrr,[status(thm)],[116,1434]),
[iquote('7:MRR:116.0,1434.0')] ).
cnf(1435,plain,
( ~ skP1(skc5)
| ~ r1(skc12,u) ),
inference(mrr,[status(thm)],[117,1434]),
[iquote('7:MRR:117.0,1434.0')] ).
cnf(1440,plain,
( ~ skP1(u)
| ~ r1(u,v)
| ~ r1(v,w) ),
inference(mrr,[status(thm)],[25,1434]),
[iquote('7:MRR:25.0,1434.0')] ).
cnf(1449,plain,
~ skP2(skf22(skc12)),
inference(mrr,[status(thm)],[1411,1448]),
[iquote('7:MRR:1411.1,1448.0')] ).
cnf(1451,plain,
~ skP2(skc12),
inference(sor,[status(thm)],[1448,1346]),
[iquote('7:SoR:1448.0,1346.1')] ).
cnf(1448,plain,
~ skP4(skc12),
inference(res,[status(thm),theory(equality)],[1,1437]),
[iquote('7:Res:1.0,1437.1')] ).
cnf(1447,plain,
~ skP4(skc9),
inference(res,[status(thm),theory(equality)],[4,1437]),
[iquote('7:Res:4.0,1437.1')] ).
cnf(1426,plain,
~ skP0(skc9),
inference(mrr,[status(thm)],[1419,1338]),
[iquote('3:MRR:1419.1,1338.0')] ).
cnf(1437,plain,
( ~ skP4(u)
| ~ r1(skc5,u) ),
inference(mrr,[status(thm)],[19,1434]),
[iquote('7:MRR:19.1,1434.0')] ).
cnf(1434,plain,
skP3(u),
inference(spt,[],[8]),
[iquote('7:Spt:8.0')] ).
cnf(1431,plain,
( ~ p2(u)
| ~ r1(skf22(v),u) ),
inference(spt,[],[1430,20]),
[iquote('6:Spt:1430.0,20.0,20.1')] ).
cnf(1425,plain,
( ~ p1(u)
| ~ r1(skf11(v),u) ),
inference(spt,[],[1424,23]),
[iquote('5:Spt:1424.0,23.0,23.2')] ).
cnf(1324,plain,
( ~ skP0(u)
| ~ r1(u,v)
| skP4(v) ),
inference(res,[status(thm),theory(equality)],[12,1321]),
[iquote('2:Res:12.1,1321.1')] ).
cnf(1391,plain,
( ~ skP4(u)
| ~ p2(skc10)
| ~ r1(skc10,u) ),
inference(mrr,[status(thm)],[1389,4]),
[iquote('4:MRR:1389.3,4.0')] ).
cnf(1410,plain,
( ~ skP2(skf15(skc12))
| ~ r1(skc12,skc12) ),
inference(res,[status(thm),theory(equality)],[15,1344]),
[iquote('4:Res:15.1,1344.1')] ).
cnf(1329,plain,
( ~ p4(skf11(skc5))
| ~ r1(skc5,skc5) ),
inference(mrr,[status(thm)],[253,1325]),
[iquote('2:MRR:253.2,1325.0')] ).
cnf(1344,plain,
( ~ skP2(u)
| ~ r1(skc12,u) ),
inference(res,[status(thm),theory(equality)],[15,1342]),
[iquote('4:Res:15.1,1342.1')] ).
cnf(1409,plain,
~ skP0(skc5),
inference(res,[status(thm),theory(equality)],[4,1327]),
[iquote('2:Res:4.0,1327.1')] ).
cnf(1327,plain,
( ~ skP0(u)
| ~ r1(u,skc9) ),
inference(res,[status(thm),theory(equality)],[3,1321]),
[iquote('2:Res:3.0,1321.1')] ).
cnf(1325,plain,
( ~ skP0(u)
| ~ r1(u,skc5) ),
inference(res,[status(thm),theory(equality)],[4,1321]),
[iquote('2:Res:4.0,1321.1')] ).
cnf(31,axiom,
( ~ p1(u)
| ~ r1(v,u)
| ~ r1(w,v)
| ~ r1(skc5,w)
| r1(w,skf16(w)) ),
file('LCL653+1.001.p',unknown),
[] ).
cnf(1382,plain,
~ skP2(skc11),
inference(sor,[status(thm)],[1340,1346]),
[iquote('4:SoR:1340.0,1346.1')] ).
cnf(1381,plain,
~ skP2(skc10),
inference(sor,[status(thm)],[1338,1346]),
[iquote('4:SoR:1338.0,1346.1')] ).
cnf(1343,plain,
( ~ skP4(u)
| ~ p2(v)
| ~ r1(w,v)
| ~ r1(v,u)
| ~ r1(skc5,w) ),
inference(mrr,[status(thm)],[32,1342]),
[iquote('4:MRR:32.5,1342.0')] ).
cnf(1346,plain,
( ~ skP2(u)
| skP4(u) ),
inference(res,[status(thm),theory(equality)],[12,1342]),
[iquote('4:Res:12.1,1342.1')] ).
cnf(1349,plain,
~ skP2(skc9),
inference(res,[status(thm),theory(equality)],[3,1342]),
[iquote('4:Res:3.0,1342.1')] ).
cnf(1347,plain,
~ skP2(skc5),
inference(res,[status(thm),theory(equality)],[4,1342]),
[iquote('4:Res:4.0,1342.1')] ).
cnf(1340,plain,
~ skP4(skc11),
inference(mrr,[status(thm)],[1337,4]),
[iquote('3:MRR:1337.1,4.0')] ).
cnf(1339,plain,
p1(skf22(skc10)),
inference(mrr,[status(thm)],[829,1338]),
[iquote('3:MRR:829.0,1338.0')] ).
cnf(1338,plain,
~ skP4(skc10),
inference(mrr,[status(thm)],[1336,4]),
[iquote('3:MRR:1336.1,4.0')] ).
cnf(1342,plain,
( ~ skP2(u)
| ~ r1(u,v) ),
inference(spt,[],[22]),
[iquote('4:Spt:22.0,22.2')] ).
cnf(1330,plain,
( ~ skP4(u)
| ~ r1(v,u)
| ~ r1(skc5,v) ),
inference(spt,[],[30]),
[iquote('3:Spt:30.0,30.2,30.3')] ).
cnf(1321,plain,
( ~ skP0(u)
| ~ r1(v,w)
| ~ r1(u,v) ),
inference(spt,[],[24]),
[iquote('2:Spt:24.0,24.1,24.2')] ).
cnf(1320,plain,
p1(skf16(u)),
inference(spt,[],[1319,29]),
[iquote('1:Spt:1319.0,29.4')] ).
cnf(12,axiom,
( skP4(u)
| r1(u,skf22(u)) ),
file('LCL653+1.001.p',unknown),
[] ).
cnf(108,plain,
( ~ p4(skf15(skc5))
| ~ r1(skc12,skc5) ),
inference(res,[status(thm),theory(equality)],[15,13]),
[iquote('0:Res:15.1,13.1')] ).
cnf(111,plain,
( ~ r1(skc12,skc10)
| p1(skf15(skc10)) ),
inference(res,[status(thm),theory(equality)],[15,9]),
[iquote('0:Res:15.1,9.0')] ).
cnf(15,axiom,
( ~ r1(skc12,u)
| r1(u,skf15(u)) ),
file('LCL653+1.001.p',unknown),
[] ).
cnf(100,plain,
~ p4(skc12),
inference(res,[status(thm),theory(equality)],[1,13]),
[iquote('0:Res:1.0,13.1')] ).
cnf(99,plain,
~ p4(skc9),
inference(res,[status(thm),theory(equality)],[4,13]),
[iquote('0:Res:4.0,13.1')] ).
cnf(13,axiom,
( ~ p4(u)
| ~ r1(skc5,u) ),
file('LCL653+1.001.p',unknown),
[] ).
cnf(9,axiom,
( ~ r1(skc10,u)
| p1(u) ),
file('LCL653+1.001.p',unknown),
[] ).
cnf(7,axiom,
~ p1(skf14(u)),
file('LCL653+1.001.p',unknown),
[] ).
cnf(6,axiom,
~ p2(skf15(u)),
file('LCL653+1.001.p',unknown),
[] ).
cnf(5,axiom,
~ p1(skc11),
file('LCL653+1.001.p',unknown),
[] ).
cnf(1,axiom,
r1(skc5,skc12),
file('LCL653+1.001.p',unknown),
[] ).
cnf(2,axiom,
r1(skc9,skc11),
file('LCL653+1.001.p',unknown),
[] ).
cnf(3,axiom,
r1(skc9,skc10),
file('LCL653+1.001.p',unknown),
[] ).
cnf(4,axiom,
r1(skc5,skc9),
file('LCL653+1.001.p',unknown),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL653+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n010.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 : Sat Jul 2 23:43:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.45/0.65
% 0.45/0.65 SPASS V 3.9
% 0.45/0.65 SPASS beiseite: Completion found.
% 0.45/0.65 % SZS status CounterSatisfiable
% 0.45/0.65 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.65 SPASS derived 1538 clauses, backtracked 424 clauses, performed 41 splits and kept 1364 clauses.
% 0.45/0.65 SPASS allocated 98805 KBytes.
% 0.45/0.65 SPASS spent 0:00:00.31 on the problem.
% 0.45/0.65 0:00:00.04 for the input.
% 0.45/0.65 0:00:00.10 for the FLOTTER CNF translation.
% 0.45/0.65 0:00:00.02 for inferences.
% 0.45/0.65 0:00:00.01 for the backtracking.
% 0.45/0.65 0:00:00.11 for the reduction.
% 0.45/0.65
% 0.45/0.65
% 0.45/0.65 The saturated set of worked-off clauses is :
% 0.45/0.65 % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------