TSTP Solution File: SYN418+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN418+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 12:21:14 EDT 2022
% Result : CounterSatisfiable 0.84s 1.05s
% Output : Saturation 0.84s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 2083)
% Comments :
%------------------------------------------------------------------------------
cnf(2085,plain,
( ~ skP6(u)
| ~ skP5(u)
| ~ skC9
| ~ c3_2(u,a39)
| c4_1(u)
| c7_2(u,a84)
| c1_2(u,a84)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c3_2(u,a79)
| c5_2(u,a79)
| c10_2(u,a84) ),
inference(obv,[status(thm),theory(equality)],[2083]),
[iquote('65:Obv:2083.0')] ).
cnf(2076,plain,
( ~ skP6(u)
| ~ skP5(u)
| ~ skC9
| ~ c9_2(u,a39)
| c4_1(u)
| c7_2(u,a84)
| c1_2(u,a84)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c3_2(u,a79)
| c5_2(u,a79)
| c10_2(u,a84) ),
inference(obv,[status(thm),theory(equality)],[2074]),
[iquote('65:Obv:2074.0')] ).
cnf(2067,plain,
( ~ skP6(u)
| ~ skP5(u)
| ~ skC9
| c4_1(u)
| c7_2(u,a84)
| c1_2(u,a84)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c3_2(u,a79)
| c5_2(u,a79)
| c10_2(u,a84)
| c2_2(u,a39) ),
inference(obv,[status(thm),theory(equality)],[2065]),
[iquote('65:Obv:2065.0')] ).
cnf(2053,plain,
( ~ c3_1(u)
| ~ skP5(u)
| ~ skC9
| ~ c2_2(u,a132)
| ~ c3_2(u,a39)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c3_2(u,a79)
| c5_2(u,a79)
| c10_2(u,a132) ),
inference(res,[status(thm),theory(equality)],[1177,1644]),
[iquote('19:Res:1177.1,1644.2')] ).
cnf(2054,plain,
( ~ skP2(u)
| ~ skP5(u)
| ~ skC9
| ~ c2_2(u,a60)
| ~ c3_2(u,a39)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c3_2(u,a79)
| c5_2(u,a79)
| c10_2(u,a60) ),
inference(res,[status(thm),theory(equality)],[274,1644]),
[iquote('4:Res:274.1,1644.2')] ).
cnf(2055,plain,
( ~ skP6(u)
| ~ skP5(u)
| ~ skC9
| ~ c2_2(u,a84)
| ~ c3_2(u,a39)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c3_2(u,a79)
| c5_2(u,a79)
| c10_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[279,1644]),
[iquote('4:Res:279.1,1644.2')] ).
cnf(2056,plain,
( ~ skP3(u)
| ~ skP5(u)
| ~ skC9
| ~ c2_2(u,a62)
| ~ c3_2(u,a39)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c3_2(u,a79)
| c5_2(u,a79)
| c10_2(u,a62) ),
inference(res,[status(thm),theory(equality)],[276,1644]),
[iquote('4:Res:276.1,1644.2')] ).
cnf(2057,plain,
( ~ skP0(u)
| ~ skP5(u)
| ~ skC9
| ~ c2_2(u,a49)
| ~ c3_2(u,a39)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c3_2(u,a79)
| c5_2(u,a79)
| c10_2(u,a49) ),
inference(res,[status(thm),theory(equality)],[270,1644]),
[iquote('4:Res:270.1,1644.2')] ).
cnf(2035,plain,
( ~ c3_1(u)
| ~ skP5(u)
| ~ skC9
| ~ c2_2(u,a132)
| ~ c9_2(u,a39)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c3_2(u,a79)
| c5_2(u,a79)
| c10_2(u,a132) ),
inference(res,[status(thm),theory(equality)],[1177,1634]),
[iquote('19:Res:1177.1,1634.2')] ).
cnf(2036,plain,
( ~ skP2(u)
| ~ skP5(u)
| ~ skC9
| ~ c2_2(u,a60)
| ~ c9_2(u,a39)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c3_2(u,a79)
| c5_2(u,a79)
| c10_2(u,a60) ),
inference(res,[status(thm),theory(equality)],[274,1634]),
[iquote('4:Res:274.1,1634.2')] ).
cnf(2037,plain,
( ~ skP6(u)
| ~ skP5(u)
| ~ skC9
| ~ c2_2(u,a84)
| ~ c9_2(u,a39)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c3_2(u,a79)
| c5_2(u,a79)
| c10_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[279,1634]),
[iquote('4:Res:279.1,1634.2')] ).
cnf(2038,plain,
( ~ skP3(u)
| ~ skP5(u)
| ~ skC9
| ~ c2_2(u,a62)
| ~ c9_2(u,a39)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c3_2(u,a79)
| c5_2(u,a79)
| c10_2(u,a62) ),
inference(res,[status(thm),theory(equality)],[276,1634]),
[iquote('4:Res:276.1,1634.2')] ).
cnf(2039,plain,
( ~ skP0(u)
| ~ skP5(u)
| ~ skC9
| ~ c2_2(u,a49)
| ~ c9_2(u,a39)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c3_2(u,a79)
| c5_2(u,a79)
| c10_2(u,a49) ),
inference(res,[status(thm),theory(equality)],[270,1634]),
[iquote('4:Res:270.1,1634.2')] ).
cnf(2027,plain,
( ~ c3_1(u)
| ~ skP5(u)
| ~ skC9
| ~ c2_2(u,a132)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c3_2(u,a79)
| c5_2(u,a79)
| c10_2(u,a132)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[1177,1603]),
[iquote('19:Res:1177.1,1603.2')] ).
cnf(2028,plain,
( ~ skP2(u)
| ~ skP5(u)
| ~ skC9
| ~ c2_2(u,a60)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c3_2(u,a79)
| c5_2(u,a79)
| c10_2(u,a60)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[274,1603]),
[iquote('4:Res:274.1,1603.2')] ).
cnf(2029,plain,
( ~ skP6(u)
| ~ skP5(u)
| ~ skC9
| ~ c2_2(u,a84)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c3_2(u,a79)
| c5_2(u,a79)
| c10_2(u,a84)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[279,1603]),
[iquote('4:Res:279.1,1603.2')] ).
cnf(2011,plain,
( ~ skP6(u)
| ~ c6_1(u)
| ~ skC9
| ~ c3_2(u,a39)
| c7_2(u,a84)
| c1_2(u,a84)
| c4_1(u)
| c3_2(u,a89)
| c5_2(u,a89)
| c10_2(u,a84) ),
inference(obv,[status(thm),theory(equality)],[2009]),
[iquote('65:Obv:2009.5')] ).
cnf(2030,plain,
( ~ skP3(u)
| ~ skP5(u)
| ~ skC9
| ~ c2_2(u,a62)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c3_2(u,a79)
| c5_2(u,a79)
| c10_2(u,a62)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[276,1603]),
[iquote('4:Res:276.1,1603.2')] ).
cnf(1998,plain,
( ~ skP6(u)
| ~ c6_1(u)
| ~ skC9
| ~ c9_2(u,a39)
| c7_2(u,a84)
| c1_2(u,a84)
| c4_1(u)
| c3_2(u,a89)
| c5_2(u,a89)
| c10_2(u,a84) ),
inference(obv,[status(thm),theory(equality)],[1996]),
[iquote('65:Obv:1996.5')] ).
cnf(1974,plain,
( ~ skP6(u)
| ~ c8_1(u)
| ~ skC9
| ~ c3_2(u,a39)
| c4_1(u)
| c7_2(u,a84)
| c1_2(u,a84)
| c3_2(u,a67)
| c5_2(u,a67)
| c10_2(u,a84) ),
inference(obv,[status(thm),theory(equality)],[1972]),
[iquote('65:Obv:1972.0')] ).
cnf(1967,plain,
( ~ skP6(u)
| ~ c8_1(u)
| ~ skC9
| ~ c9_2(u,a39)
| c4_1(u)
| c7_2(u,a84)
| c1_2(u,a84)
| c3_2(u,a67)
| c5_2(u,a67)
| c10_2(u,a84) ),
inference(obv,[status(thm),theory(equality)],[1965]),
[iquote('65:Obv:1965.0')] ).
cnf(1913,plain,
( ~ c9_2(a18,u)
| ~ c3_2(a18,v)
| ~ c6_2(a18,v)
| ~ c8_2(a18,v)
| ~ c4_2(a18,a40)
| c3_2(a18,u)
| c5_2(a18,u)
| c7_2(a18,u) ),
inference(res,[status(thm),theory(equality)],[1911,1683]),
[iquote('79:Res:1911.2,1683.0')] ).
cnf(2031,plain,
( ~ skP0(u)
| ~ skP5(u)
| ~ skC9
| ~ c2_2(u,a49)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c3_2(u,a79)
| c5_2(u,a79)
| c10_2(u,a49)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[270,1603]),
[iquote('4:Res:270.1,1603.2')] ).
cnf(1914,plain,
( ~ c9_2(a18,u)
| ~ c3_2(a18,v)
| ~ c6_2(a18,v)
| ~ c8_2(a18,v)
| ~ c3_2(a18,a40)
| c3_2(a18,u)
| c5_2(a18,u)
| c7_2(a18,u) ),
inference(res,[status(thm),theory(equality)],[1911,1671]),
[iquote('79:Res:1911.2,1671.0')] ).
cnf(1854,plain,
( ~ skP6(u)
| ~ c6_1(u)
| ~ skC9
| c7_2(u,a84)
| c1_2(u,a84)
| c4_1(u)
| c3_2(u,a89)
| c5_2(u,a89)
| c10_2(u,a84)
| c2_2(u,a39) ),
inference(obv,[status(thm),theory(equality)],[1853]),
[iquote('65:Obv:1853.4')] ).
cnf(1808,plain,
( ~ skP6(u)
| ~ c8_1(u)
| ~ skC9
| c4_1(u)
| c7_2(u,a84)
| c1_2(u,a84)
| c3_2(u,a67)
| c5_2(u,a67)
| c10_2(u,a84)
| c2_2(u,a39) ),
inference(obv,[status(thm),theory(equality)],[1807]),
[iquote('65:Obv:1807.0')] ).
cnf(2044,plain,
( ~ skP6(u)
| ~ c6_2(u,a80)
| ~ c8_2(u,a80)
| ~ c4_2(u,a40)
| skP5(u)
| c7_1(u)
| c4_1(u)
| c1_2(u,a84)
| c7_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[1190,1742]),
[iquote('65:Res:1190.2,1742.1')] ).
cnf(1644,plain,
( ~ skP5(u)
| ~ skC9
| ~ c5_2(u,v)
| ~ c2_2(u,v)
| ~ c3_2(u,a39)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c3_2(u,a79)
| c5_2(u,a79)
| c10_2(u,v) ),
inference(res,[status(thm),theory(equality)],[1385,1000]),
[iquote('4:Res:1385.4,1000.1')] ).
cnf(2045,plain,
( ~ skP6(u)
| ~ c6_2(u,a58)
| ~ c8_2(u,a58)
| ~ c4_2(u,a40)
| skP1(u)
| c9_1(u)
| c4_1(u)
| c1_2(u,a84)
| c7_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[1347,1742]),
[iquote('65:Res:1347.2,1742.1')] ).
cnf(2043,plain,
( ~ skP3(u)
| ~ skP6(u)
| ~ c6_2(u,a62)
| ~ c8_2(u,a62)
| ~ c4_2(u,a40)
| c4_1(u)
| c1_2(u,a84)
| c7_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[275,1742]),
[iquote('65:Res:275.1,1742.1')] ).
cnf(2050,plain,
( ~ skP7(u)
| ~ skP6(u)
| ~ c8_2(u,a85)
| ~ c4_2(u,a40)
| c4_1(u)
| c1_2(u,a84)
| c7_2(u,a84) ),
inference(mrr,[status(thm)],[2042,280]),
[iquote('65:MRR:2042.2,280.1')] ).
cnf(1742,plain,
( ~ skP6(u)
| ~ c3_2(u,v)
| ~ c6_2(u,v)
| ~ c8_2(u,v)
| ~ c4_2(u,a40)
| c4_1(u)
| c1_2(u,a84)
| c7_2(u,a84) ),
inference(mrr,[status(thm)],[1741,278]),
[iquote('65:MRR:1741.1,278.1')] ).
cnf(1634,plain,
( ~ skP5(u)
| ~ skC9
| ~ c5_2(u,v)
| ~ c2_2(u,v)
| ~ c9_2(u,a39)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c3_2(u,a79)
| c5_2(u,a79)
| c10_2(u,v) ),
inference(res,[status(thm),theory(equality)],[1385,999]),
[iquote('4:Res:1385.4,999.1')] ).
cnf(2019,plain,
( ~ skP6(u)
| ~ c6_2(u,a80)
| ~ c8_2(u,a80)
| ~ c3_2(u,a40)
| skP5(u)
| c7_1(u)
| c4_1(u)
| c1_2(u,a84)
| c7_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[1190,1740]),
[iquote('65:Res:1190.2,1740.1')] ).
cnf(2020,plain,
( ~ skP6(u)
| ~ c6_2(u,a58)
| ~ c8_2(u,a58)
| ~ c3_2(u,a40)
| skP1(u)
| c9_1(u)
| c4_1(u)
| c1_2(u,a84)
| c7_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[1347,1740]),
[iquote('65:Res:1347.2,1740.1')] ).
cnf(2018,plain,
( ~ skP3(u)
| ~ skP6(u)
| ~ c6_2(u,a62)
| ~ c8_2(u,a62)
| ~ c3_2(u,a40)
| c4_1(u)
| c1_2(u,a84)
| c7_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[275,1740]),
[iquote('65:Res:275.1,1740.1')] ).
cnf(2025,plain,
( ~ skP7(u)
| ~ skP6(u)
| ~ c8_2(u,a85)
| ~ c3_2(u,a40)
| c4_1(u)
| c1_2(u,a84)
| c7_2(u,a84) ),
inference(mrr,[status(thm)],[2017,280]),
[iquote('65:MRR:2017.2,280.1')] ).
cnf(1603,plain,
( ~ skP5(u)
| ~ skC9
| ~ c5_2(u,v)
| ~ c2_2(u,v)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c3_2(u,a79)
| c5_2(u,a79)
| c10_2(u,v)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[1385,997]),
[iquote('4:Res:1385.4,997.1')] ).
cnf(1740,plain,
( ~ skP6(u)
| ~ c3_2(u,v)
| ~ c6_2(u,v)
| ~ c8_2(u,v)
| ~ c3_2(u,a40)
| c4_1(u)
| c1_2(u,a84)
| c7_2(u,a84) ),
inference(mrr,[status(thm)],[1739,278]),
[iquote('65:MRR:1739.1,278.1')] ).
cnf(1685,plain,
( ~ c9_2(u,a58)
| ~ c3_2(u,v)
| ~ c6_2(u,v)
| ~ c8_2(u,v)
| ~ c4_2(u,a40)
| skP1(u)
| c9_1(u)
| c7_2(u,a58) ),
inference(res,[status(thm),theory(equality)],[1346,1683]),
[iquote('62:Res:1346.2,1683.0')] ).
cnf(1673,plain,
( ~ c9_2(u,a58)
| ~ c3_2(u,v)
| ~ c6_2(u,v)
| ~ c8_2(u,v)
| ~ c3_2(u,a40)
| skP1(u)
| c9_1(u)
| c7_2(u,a58) ),
inference(res,[status(thm),theory(equality)],[1346,1671]),
[iquote('61:Res:1346.2,1671.0')] ).
cnf(1802,plain,
( ~ c3_1(u)
| ~ c6_1(u)
| ~ skC9
| ~ c2_2(u,a132)
| ~ c3_2(u,a39)
| c4_1(u)
| c3_2(u,a89)
| c5_2(u,a89)
| c10_2(u,a132) ),
inference(res,[status(thm),theory(equality)],[1177,1641]),
[iquote('37:Res:1177.1,1641.2')] ).
cnf(1803,plain,
( ~ skP2(u)
| ~ c6_1(u)
| ~ skC9
| ~ c2_2(u,a60)
| ~ c3_2(u,a39)
| c4_1(u)
| c3_2(u,a89)
| c5_2(u,a89)
| c10_2(u,a60) ),
inference(res,[status(thm),theory(equality)],[274,1641]),
[iquote('37:Res:274.1,1641.2')] ).
cnf(1804,plain,
( ~ skP6(u)
| ~ c6_1(u)
| ~ skC9
| ~ c2_2(u,a84)
| ~ c3_2(u,a39)
| c4_1(u)
| c3_2(u,a89)
| c5_2(u,a89)
| c10_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[279,1641]),
[iquote('37:Res:279.1,1641.2')] ).
cnf(1805,plain,
( ~ skP3(u)
| ~ c6_1(u)
| ~ skC9
| ~ c2_2(u,a62)
| ~ c3_2(u,a39)
| c4_1(u)
| c3_2(u,a89)
| c5_2(u,a89)
| c10_2(u,a62) ),
inference(res,[status(thm),theory(equality)],[276,1641]),
[iquote('37:Res:276.1,1641.2')] ).
cnf(1806,plain,
( ~ skP0(u)
| ~ c6_1(u)
| ~ skC9
| ~ c2_2(u,a49)
| ~ c3_2(u,a39)
| c4_1(u)
| c3_2(u,a89)
| c5_2(u,a89)
| c10_2(u,a49) ),
inference(res,[status(thm),theory(equality)],[270,1641]),
[iquote('37:Res:270.1,1641.2')] ).
cnf(1792,plain,
( ~ c3_1(u)
| ~ c6_1(u)
| ~ skC9
| ~ c2_2(u,a132)
| ~ c9_2(u,a39)
| c4_1(u)
| c3_2(u,a89)
| c5_2(u,a89)
| c10_2(u,a132) ),
inference(res,[status(thm),theory(equality)],[1177,1631]),
[iquote('37:Res:1177.1,1631.2')] ).
cnf(1793,plain,
( ~ skP2(u)
| ~ c6_1(u)
| ~ skC9
| ~ c2_2(u,a60)
| ~ c9_2(u,a39)
| c4_1(u)
| c3_2(u,a89)
| c5_2(u,a89)
| c10_2(u,a60) ),
inference(res,[status(thm),theory(equality)],[274,1631]),
[iquote('37:Res:274.1,1631.2')] ).
cnf(2002,plain,
c7_1(a44),
inference(spt,[],[1682]),
[iquote('86:Spt:1682.6')] ).
cnf(1999,plain,
( ~ skP6(a29)
| ~ c3_2(a29,a30)
| ~ c6_2(a29,a30)
| c4_1(a29)
| c1_2(a29,a84)
| c7_2(a29,a84)
| c9_2(a29,a40) ),
inference(res,[status(thm),theory(equality)],[1160,1738]),
[iquote('65:Res:1160.0,1738.1')] ).
cnf(1738,plain,
( ~ skP6(u)
| ~ c8_2(u,v)
| ~ c3_2(u,v)
| ~ c6_2(u,v)
| c4_1(u)
| c1_2(u,a84)
| c7_2(u,a84)
| c9_2(u,a40) ),
inference(mrr,[status(thm)],[1737,278]),
[iquote('65:MRR:1737.1,278.1')] ).
cnf(1992,plain,
( ~ c9_2(a18,a133)
| ~ c3_2(a18,u)
| ~ c6_2(a18,u)
| ~ c8_2(a18,u)
| ~ c4_2(a18,a40)
| c7_2(a18,a133) ),
inference(res,[status(thm),theory(equality)],[1991,1683]),
[iquote('85:Res:1991.0,1683.0')] ).
cnf(1794,plain,
( ~ skP6(u)
| ~ c6_1(u)
| ~ skC9
| ~ c2_2(u,a84)
| ~ c9_2(u,a39)
| c4_1(u)
| c3_2(u,a89)
| c5_2(u,a89)
| c10_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[279,1631]),
[iquote('37:Res:279.1,1631.2')] ).
cnf(1993,plain,
( ~ c9_2(a18,a133)
| ~ c3_2(a18,u)
| ~ c6_2(a18,u)
| ~ c8_2(a18,u)
| ~ c3_2(a18,a40)
| c7_2(a18,a133) ),
inference(res,[status(thm),theory(equality)],[1991,1671]),
[iquote('85:Res:1991.0,1671.0')] ).
cnf(1991,plain,
c2_2(a18,a133),
inference(spt,[],[1989]),
[iquote('85:Spt:1989.0')] ).
cnf(1980,plain,
c3_2(a18,a133),
inference(spt,[],[1679]),
[iquote('84:Spt:1679.5')] ).
cnf(1795,plain,
( ~ skP3(u)
| ~ c6_1(u)
| ~ skC9
| ~ c2_2(u,a62)
| ~ c9_2(u,a39)
| c4_1(u)
| c3_2(u,a89)
| c5_2(u,a89)
| c10_2(u,a62) ),
inference(res,[status(thm),theory(equality)],[276,1631]),
[iquote('37:Res:276.1,1631.2')] ).
cnf(1976,plain,
c9_2(a44,a40),
inference(spt,[],[1670]),
[iquote('83:Spt:1670.7')] ).
cnf(1764,plain,
( ~ skP6(a51)
| ~ c1_2(a51,a111)
| ~ c9_2(a51,a111)
| c4_1(a51)
| c7_2(a51,a84)
| c1_2(a51,a84)
| c5_1(a51)
| c7_1(a51)
| c10_2(a51,a84) ),
inference(res,[status(thm),theory(equality)],[1752,1188]),
[iquote('65:Res:1752.7,1188.0')] ).
cnf(1947,plain,
( ~ skP2(u)
| ~ c8_1(u)
| ~ skC9
| ~ c2_2(u,a60)
| ~ c3_2(u,a39)
| c3_2(u,a67)
| c5_2(u,a67)
| c10_2(u,a60) ),
inference(res,[status(thm),theory(equality)],[274,1640]),
[iquote('22:Res:274.1,1640.2')] ).
cnf(1948,plain,
( ~ skP6(u)
| ~ c8_1(u)
| ~ skC9
| ~ c2_2(u,a84)
| ~ c3_2(u,a39)
| c3_2(u,a67)
| c5_2(u,a67)
| c10_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[279,1640]),
[iquote('22:Res:279.1,1640.2')] ).
cnf(1796,plain,
( ~ skP0(u)
| ~ c6_1(u)
| ~ skC9
| ~ c2_2(u,a49)
| ~ c9_2(u,a39)
| c4_1(u)
| c3_2(u,a89)
| c5_2(u,a89)
| c10_2(u,a49) ),
inference(res,[status(thm),theory(equality)],[270,1631]),
[iquote('37:Res:270.1,1631.2')] ).
cnf(1949,plain,
( ~ skP3(u)
| ~ c8_1(u)
| ~ skC9
| ~ c2_2(u,a62)
| ~ c3_2(u,a39)
| c3_2(u,a67)
| c5_2(u,a67)
| c10_2(u,a62) ),
inference(res,[status(thm),theory(equality)],[276,1640]),
[iquote('22:Res:276.1,1640.2')] ).
cnf(1950,plain,
( ~ skP0(u)
| ~ c8_1(u)
| ~ skC9
| ~ c2_2(u,a49)
| ~ c3_2(u,a39)
| c3_2(u,a67)
| c5_2(u,a67)
| c10_2(u,a49) ),
inference(res,[status(thm),theory(equality)],[270,1640]),
[iquote('22:Res:270.1,1640.2')] ).
cnf(1929,plain,
( ~ skP2(u)
| ~ c8_1(u)
| ~ skC9
| ~ c2_2(u,a60)
| ~ c9_2(u,a39)
| c3_2(u,a67)
| c5_2(u,a67)
| c10_2(u,a60) ),
inference(res,[status(thm),theory(equality)],[274,1630]),
[iquote('22:Res:274.1,1630.2')] ).
cnf(1930,plain,
( ~ skP6(u)
| ~ c8_1(u)
| ~ skC9
| ~ c2_2(u,a84)
| ~ c9_2(u,a39)
| c3_2(u,a67)
| c5_2(u,a67)
| c10_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[279,1630]),
[iquote('22:Res:279.1,1630.2')] ).
cnf(1661,plain,
( ~ c9_2(u,a58)
| ~ c8_2(u,v)
| ~ c3_2(u,v)
| ~ c6_2(u,v)
| skP1(u)
| c9_1(u)
| c7_2(u,a58)
| c9_2(u,a40) ),
inference(res,[status(thm),theory(equality)],[1346,1659]),
[iquote('60:Res:1346.2,1659.0')] ).
cnf(1931,plain,
( ~ skP3(u)
| ~ c8_1(u)
| ~ skC9
| ~ c2_2(u,a62)
| ~ c9_2(u,a39)
| c3_2(u,a67)
| c5_2(u,a67)
| c10_2(u,a62) ),
inference(res,[status(thm),theory(equality)],[276,1630]),
[iquote('22:Res:276.1,1630.2')] ).
cnf(1932,plain,
( ~ skP0(u)
| ~ c8_1(u)
| ~ skC9
| ~ c2_2(u,a49)
| ~ c9_2(u,a39)
| c3_2(u,a67)
| c5_2(u,a67)
| c10_2(u,a49) ),
inference(res,[status(thm),theory(equality)],[270,1630]),
[iquote('22:Res:270.1,1630.2')] ).
cnf(1906,plain,
( ~ c9_2(a18,a67)
| ~ c3_2(a18,u)
| ~ c6_2(a18,u)
| ~ c8_2(a18,u)
| ~ c4_2(a18,a40)
| c7_2(a18,a67) ),
inference(res,[status(thm),theory(equality)],[1905,1683]),
[iquote('78:Res:1905.0,1683.0')] ).
cnf(1907,plain,
( ~ c9_2(a18,a67)
| ~ c3_2(a18,u)
| ~ c6_2(a18,u)
| ~ c8_2(a18,u)
| ~ c3_2(a18,a40)
| c7_2(a18,a67) ),
inference(res,[status(thm),theory(equality)],[1905,1671]),
[iquote('78:Res:1905.0,1671.0')] ).
cnf(1684,plain,
( ~ skP5(u)
| ~ c9_2(u,a79)
| ~ c3_2(u,v)
| ~ c6_2(u,v)
| ~ c8_2(u,v)
| ~ c4_2(u,a40)
| c7_2(u,a79) ),
inference(res,[status(thm),theory(equality)],[277,1683]),
[iquote('62:Res:277.1,1683.0')] ).
cnf(1829,plain,
( ~ c9_2(a18,a146)
| ~ c3_2(a18,u)
| ~ c6_2(a18,u)
| ~ c8_2(a18,u)
| ~ c4_2(a18,a40)
| c7_2(a18,a146) ),
inference(res,[status(thm),theory(equality)],[1828,1683]),
[iquote('71:Res:1828.0,1683.0')] ).
cnf(1830,plain,
( ~ c9_2(a18,a146)
| ~ c3_2(a18,u)
| ~ c6_2(a18,u)
| ~ c8_2(a18,u)
| ~ c3_2(a18,a40)
| c7_2(a18,a146) ),
inference(res,[status(thm),theory(equality)],[1828,1671]),
[iquote('71:Res:1828.0,1671.0')] ).
cnf(1952,plain,
( ~ c3_1(u)
| ~ skC9
| ~ c2_2(u,a132)
| ~ c3_2(u,a39)
| c3_2(u,a67)
| c5_2(u,a67)
| c10_2(u,a132) ),
inference(ssi,[status(thm)],[1946,1156]),
[iquote('22:SSi:1946.1,1156.1')] ).
cnf(1959,plain,
c10_2(a44,a132),
inference(spt,[],[1958]),
[iquote('82:Spt:1958.4')] ).
cnf(1672,plain,
( ~ skP5(u)
| ~ c9_2(u,a79)
| ~ c3_2(u,v)
| ~ c6_2(u,v)
| ~ c8_2(u,v)
| ~ c3_2(u,a40)
| c7_2(u,a79) ),
inference(res,[status(thm),theory(equality)],[277,1671]),
[iquote('61:Res:277.1,1671.0')] ).
cnf(1934,plain,
( ~ c3_1(u)
| ~ skC9
| ~ c2_2(u,a132)
| ~ c9_2(u,a39)
| c3_2(u,a67)
| c5_2(u,a67)
| c10_2(u,a132) ),
inference(ssi,[status(thm)],[1928,1156]),
[iquote('22:SSi:1928.1,1156.1')] ).
cnf(1953,plain,
c7_2(a18,a40),
inference(spt,[],[1941]),
[iquote('81:Spt:1941.5')] ).
cnf(1640,plain,
( ~ c8_1(u)
| ~ skC9
| ~ c5_2(u,v)
| ~ c2_2(u,v)
| ~ c3_2(u,a39)
| c3_2(u,a67)
| c5_2(u,a67)
| c10_2(u,v) ),
inference(res,[status(thm),theory(equality)],[1196,1000]),
[iquote('22:Res:1196.1,1000.1')] ).
cnf(1935,plain,
( ~ c8_2(a18,u)
| c2_2(a18,u)
| c9_2(a18,u) ),
inference(spt,[],[1863]),
[iquote('80:Spt:1863.0,1863.4,1863.5')] ).
cnf(1630,plain,
( ~ c8_1(u)
| ~ skC9
| ~ c5_2(u,v)
| ~ c2_2(u,v)
| ~ c9_2(u,a39)
| c3_2(u,a67)
| c5_2(u,a67)
| c10_2(u,v) ),
inference(res,[status(thm),theory(equality)],[1196,999]),
[iquote('22:Res:1196.1,999.1')] ).
cnf(1911,plain,
( c3_2(a18,u)
| c5_2(a18,u)
| c2_2(a18,u) ),
inference(mrr,[status(thm)],[1781,1910]),
[iquote('79:MRR:1781.0,1910.0')] ).
cnf(1910,plain,
c4_1(a18),
inference(spt,[],[1881]),
[iquote('79:Spt:1881.1')] ).
cnf(1905,plain,
c2_2(a18,a67),
inference(spt,[],[1903]),
[iquote('78:Spt:1903.0')] ).
cnf(1728,plain,
( ~ c3_1(u)
| ~ c6_1(u)
| ~ skC9
| ~ c2_2(u,a132)
| c4_1(u)
| c3_2(u,a89)
| c5_2(u,a89)
| c10_2(u,a132)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[1177,1600]),
[iquote('37:Res:1177.1,1600.2')] ).
cnf(1891,plain,
c3_2(a18,a67),
inference(spt,[],[1880]),
[iquote('77:Spt:1880.1')] ).
cnf(1864,plain,
( ~ c5_1(a18)
| c9_1(a18)
| c10_2(a18,a40)
| c3_2(a18,a40) ),
inference(res,[status(thm),theory(equality)],[1856,1695]),
[iquote('75:Res:1856.0,1695.1')] ).
cnf(1879,plain,
c2_2(a18,a40),
inference(spt,[],[1869]),
[iquote('76:Spt:1869.1')] ).
cnf(1729,plain,
( ~ skP2(u)
| ~ c6_1(u)
| ~ skC9
| ~ c2_2(u,a60)
| c4_1(u)
| c3_2(u,a89)
| c5_2(u,a89)
| c10_2(u,a60)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[274,1600]),
[iquote('37:Res:274.1,1600.2')] ).
cnf(1856,plain,
c5_2(a18,a40),
inference(spt,[],[1850]),
[iquote('75:Spt:1850.2')] ).
cnf(1730,plain,
( ~ skP6(u)
| ~ c6_1(u)
| ~ skC9
| ~ c2_2(u,a84)
| c4_1(u)
| c3_2(u,a89)
| c5_2(u,a89)
| c10_2(u,a84)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[279,1600]),
[iquote('37:Res:279.1,1600.2')] ).
cnf(1845,plain,
c1_2(a18,a40),
inference(spt,[],[1843]),
[iquote('74:Spt:1843.4')] ).
cnf(1837,plain,
( ~ skP6(a18)
| c2_2(a18,a84)
| c1_2(a18,a84) ),
inference(res,[status(thm),theory(equality)],[278,1836]),
[iquote('73:Res:278.1,1836.0')] ).
cnf(1731,plain,
( ~ skP3(u)
| ~ c6_1(u)
| ~ skC9
| ~ c2_2(u,a62)
| c4_1(u)
| c3_2(u,a89)
| c5_2(u,a89)
| c10_2(u,a62)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[276,1600]),
[iquote('37:Res:276.1,1600.2')] ).
cnf(1836,plain,
( ~ c9_2(a18,u)
| c2_2(a18,u)
| c1_2(a18,u) ),
inference(spt,[],[1835]),
[iquote('73:Spt:1835.0,1835.4,1835.5')] ).
cnf(1833,plain,
c9_2(a18,a40),
inference(spt,[],[1831]),
[iquote('72:Spt:1831.5')] ).
cnf(1732,plain,
( ~ skP0(u)
| ~ c6_1(u)
| ~ skC9
| ~ c2_2(u,a49)
| c4_1(u)
| c3_2(u,a89)
| c5_2(u,a89)
| c10_2(u,a49)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[270,1600]),
[iquote('37:Res:270.1,1600.2')] ).
cnf(1828,plain,
c2_2(a18,a146),
inference(spt,[],[1826]),
[iquote('71:Spt:1826.0')] ).
cnf(1818,plain,
( ~ skP3(a18)
| c2_2(a18,a62)
| c4_2(a18,a62) ),
inference(res,[status(thm),theory(equality)],[275,1816]),
[iquote('70:Res:275.1,1816.0')] ).
cnf(1817,plain,
( ~ skP7(a18)
| c2_2(a18,a85)
| c4_2(a18,a85) ),
inference(res,[status(thm),theory(equality)],[281,1816]),
[iquote('70:Res:281.1,1816.0')] ).
cnf(1660,plain,
( ~ skP5(u)
| ~ c9_2(u,a79)
| ~ c8_2(u,v)
| ~ c3_2(u,v)
| ~ c6_2(u,v)
| c7_2(u,a79)
| c9_2(u,a40) ),
inference(res,[status(thm),theory(equality)],[277,1659]),
[iquote('60:Res:277.1,1659.0')] ).
cnf(1816,plain,
( ~ c3_2(a18,u)
| c2_2(a18,u)
| c4_2(a18,u) ),
inference(spt,[],[1815]),
[iquote('70:Spt:1815.2,1815.3,1815.4')] ).
cnf(1812,plain,
c3_2(a18,a146),
inference(spt,[],[1668]),
[iquote('69:Spt:1668.4')] ).
cnf(1650,plain,
( ~ skP2(u)
| ~ c8_1(u)
| ~ skC9
| ~ c2_2(u,a60)
| c3_2(u,a67)
| c5_2(u,a67)
| c10_2(u,a60)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[274,1599]),
[iquote('22:Res:274.1,1599.2')] ).
cnf(1809,plain,
( ~ c2_1(a29)
| ~ c4_1(a29)
| c8_1(a29)
| c6_2(a29,a118)
| c7_2(a29,a118)
| c2_2(a29,a30)
| c9_2(a29,a30) ),
inference(res,[status(thm),theory(equality)],[1160,1708]),
[iquote('64:Res:1160.0,1708.2')] ).
cnf(1708,plain,
( ~ c2_1(u)
| ~ c4_1(u)
| ~ c8_2(u,v)
| c8_1(u)
| c6_2(u,a118)
| c7_2(u,a118)
| c2_2(u,v)
| c9_2(u,v) ),
inference(res,[status(thm),theory(equality)],[1174,1707]),
[iquote('64:Res:1174.2,1707.0')] ).
cnf(1651,plain,
( ~ skP6(u)
| ~ c8_1(u)
| ~ skC9
| ~ c2_2(u,a84)
| c3_2(u,a67)
| c5_2(u,a67)
| c10_2(u,a84)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[279,1599]),
[iquote('22:Res:279.1,1599.2')] ).
cnf(1652,plain,
( ~ skP3(u)
| ~ c8_1(u)
| ~ skC9
| ~ c2_2(u,a62)
| c3_2(u,a67)
| c5_2(u,a67)
| c10_2(u,a62)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[276,1599]),
[iquote('22:Res:276.1,1599.2')] ).
cnf(1641,plain,
( ~ c6_1(u)
| ~ skC9
| ~ c5_2(u,v)
| ~ c2_2(u,v)
| ~ c3_2(u,a39)
| c4_1(u)
| c3_2(u,a89)
| c5_2(u,a89)
| c10_2(u,v) ),
inference(res,[status(thm),theory(equality)],[1259,1000]),
[iquote('37:Res:1259.2,1000.1')] ).
cnf(1756,plain,
( ~ skP6(u)
| ~ c3_2(u,a111)
| c4_1(u)
| c7_2(u,a84)
| c1_2(u,a84)
| c5_1(u)
| c7_1(u)
| c10_2(u,a84) ),
inference(mrr,[status(thm)],[1755,304]),
[iquote('65:MRR:1755.7,304.1')] ).
cnf(1797,plain,
( ~ skP6(a29)
| c8_1(a29)
| c6_2(a29,a84)
| c7_2(a29,a84)
| c2_2(a29,a30)
| c9_2(a29,a30) ),
inference(res,[status(thm),theory(equality)],[1160,1711]),
[iquote('64:Res:1160.0,1711.1')] ).
cnf(1711,plain,
( ~ skP6(u)
| ~ c8_2(u,v)
| c8_1(u)
| c6_2(u,a84)
| c7_2(u,a84)
| c2_2(u,v)
| c9_2(u,v) ),
inference(res,[status(thm),theory(equality)],[279,1707]),
[iquote('64:Res:279.1,1707.0')] ).
cnf(1787,plain,
( ~ skP3(a29)
| c8_1(a29)
| c6_2(a29,a62)
| c7_2(a29,a62)
| c2_2(a29,a30)
| c9_2(a29,a30) ),
inference(res,[status(thm),theory(equality)],[1160,1712]),
[iquote('64:Res:1160.0,1712.1')] ).
cnf(1631,plain,
( ~ c6_1(u)
| ~ skC9
| ~ c5_2(u,v)
| ~ c2_2(u,v)
| ~ c9_2(u,a39)
| c4_1(u)
| c3_2(u,a89)
| c5_2(u,a89)
| c10_2(u,v) ),
inference(res,[status(thm),theory(equality)],[1259,999]),
[iquote('37:Res:1259.2,999.1')] ).
cnf(1712,plain,
( ~ skP3(u)
| ~ c8_2(u,v)
| c8_1(u)
| c6_2(u,a62)
| c7_2(u,a62)
| c2_2(u,v)
| c9_2(u,v) ),
inference(res,[status(thm),theory(equality)],[276,1707]),
[iquote('64:Res:276.1,1707.0')] ).
cnf(1785,plain,
( ~ c6_2(a18,u)
| ~ c4_2(a18,u)
| c7_2(a18,u)
| c3_2(a18,u)
| c5_2(a18,u) ),
inference(spt,[],[1782]),
[iquote('68:Spt:1782.0,1782.1,1782.2,1782.3,1782.4')] ).
cnf(1769,plain,
( ~ skP5(a18)
| c7_2(a18,a79)
| c3_2(a18,a79)
| c5_2(a18,a79) ),
inference(res,[status(thm),theory(equality)],[1767,303]),
[iquote('67:Res:1767.1,303.1')] ).
cnf(1767,plain,
( c7_2(a18,u)
| c8_2(a18,u)
| c3_2(a18,u)
| c5_2(a18,u) ),
inference(spt,[],[1604]),
[iquote('67:Spt:1604.3,1604.4,1604.5,1604.6')] ).
cnf(1754,plain,
( ~ skP6(u)
| c4_1(u)
| c7_2(u,a84)
| c1_2(u,a84)
| c5_1(u)
| c7_1(u)
| c10_2(u,a84)
| c5_2(u,a111) ),
inference(mrr,[status(thm)],[1753,304]),
[iquote('65:MRR:1753.6,304.1')] ).
cnf(1752,plain,
( ~ skP6(u)
| c4_1(u)
| c7_2(u,a84)
| c1_2(u,a84)
| c5_1(u)
| c7_1(u)
| c10_2(u,a84)
| c4_2(u,a111) ),
inference(mrr,[status(thm)],[1751,304]),
[iquote('65:MRR:1751.6,304.1')] ).
cnf(1736,plain,
( ~ skP6(u)
| c4_1(u)
| c7_2(u,a84)
| c1_2(u,a84)
| c5_1(u)
| c7_1(u)
| c10_2(u,a84)
| c4_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[1726,1105]),
[iquote('65:Res:1726.3,1105.0')] ).
cnf(1726,plain,
( ~ skP6(u)
| c4_1(u)
| c7_2(u,a84)
| c2_2(u,a84)
| c1_2(u,a84) ),
inference(obv,[status(thm),theory(equality)],[1724]),
[iquote('65:Obv:1724.0')] ).
cnf(1600,plain,
( ~ c6_1(u)
| ~ skC9
| ~ c5_2(u,v)
| ~ c2_2(u,v)
| c4_1(u)
| c3_2(u,a89)
| c5_2(u,a89)
| c10_2(u,v)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[1259,997]),
[iquote('37:Res:1259.2,997.1')] ).
cnf(1719,plain,
( ~ skP6(u)
| ~ c9_2(u,v)
| c4_1(u)
| c7_2(u,a84)
| c2_2(u,v)
| c1_2(u,v) ),
inference(mrr,[status(thm)],[1717,304]),
[iquote('65:MRR:1717.4,304.1')] ).
cnf(1723,plain,
( ~ c2_1(a53)
| ~ c5_1(a53)
| c9_1(a53)
| c3_2(a53,a118)
| c7_2(a53,a118)
| c4_2(a53,a118) ),
inference(mrr,[status(thm)],[1715,1722]),
[iquote('66:MRR:1715.1,1722.0')] ).
cnf(1722,plain,
c4_1(a53),
inference(spt,[],[1721]),
[iquote('66:Spt:1721.0')] ).
cnf(1716,plain,
( ~ c9_2(u,v)
| ~ c9_2(u,w)
| c4_1(u)
| c7_2(u,v)
| c8_2(u,v)
| c2_2(u,w)
| c1_2(u,w) ),
inference(spt,[],[1021]),
[iquote('65:Spt:1021.1,1021.2,1021.5,1021.9,1021.10,1021.11,1021.12')] ).
cnf(1696,plain,
( ~ c2_1(u)
| ~ c4_1(u)
| ~ c5_1(u)
| c9_1(u)
| c10_2(u,a118)
| c3_2(u,a118) ),
inference(res,[status(thm),theory(equality)],[1174,1695]),
[iquote('63:Res:1174.2,1695.1')] ).
cnf(1714,plain,
( ~ skP6(a53)
| ~ c5_1(a53)
| c9_1(a53)
| c3_2(a53,a84)
| c7_2(a53,a84)
| c4_2(a53,a84) ),
inference(res,[status(thm),theory(equality)],[1699,1166]),
[iquote('63:Res:1699.3,1166.0')] ).
cnf(1699,plain,
( ~ skP6(u)
| ~ c5_1(u)
| c9_1(u)
| c10_2(u,a84)
| c3_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[279,1695]),
[iquote('63:Res:279.1,1695.1')] ).
cnf(1707,plain,
( ~ c5_2(u,v)
| ~ c8_2(u,w)
| c8_1(u)
| c6_2(u,v)
| c7_2(u,v)
| c2_2(u,w)
| c9_2(u,w) ),
inference(spt,[],[1016]),
[iquote('64:Spt:1016.0,1016.1,1016.4,1016.5,1016.6,1016.7,1016.8')] ).
cnf(1698,plain,
( ~ skP2(u)
| ~ c5_1(u)
| c9_1(u)
| c10_2(u,a60)
| c3_2(u,a60) ),
inference(res,[status(thm),theory(equality)],[274,1695]),
[iquote('63:Res:274.1,1695.1')] ).
cnf(1705,plain,
( ~ c3_1(a53)
| ~ c5_1(a53)
| c9_1(a53)
| c3_2(a53,a132)
| c7_2(a53,a132) ),
inference(mrr,[status(thm)],[1704,1178]),
[iquote('63:MRR:1704.5,1178.1')] ).
cnf(1697,plain,
( ~ c3_1(u)
| ~ c5_1(u)
| c9_1(u)
| c10_2(u,a132)
| c3_2(u,a132) ),
inference(res,[status(thm),theory(equality)],[1177,1695]),
[iquote('63:Res:1177.1,1695.1')] ).
cnf(1702,plain,
( ~ skP0(u)
| ~ c5_1(u)
| c9_1(u)
| c10_2(u,a49) ),
inference(mrr,[status(thm)],[1701,296]),
[iquote('63:MRR:1701.4,296.1')] ).
cnf(1695,plain,
( ~ c5_1(u)
| ~ c5_2(u,v)
| c9_1(u)
| c10_2(u,v)
| c3_2(u,v) ),
inference(spt,[],[1182]),
[iquote('63:Spt:1182.1,1182.2,1182.4,1182.6,1182.7')] ).
cnf(1653,plain,
( ~ skP0(u)
| ~ c8_1(u)
| ~ skC9
| ~ c2_2(u,a49)
| c3_2(u,a67)
| c5_2(u,a67)
| c10_2(u,a49)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[270,1599]),
[iquote('22:Res:270.1,1599.2')] ).
cnf(1686,plain,
( ~ c9_2(a136,a137)
| ~ c3_2(a136,u)
| ~ c6_2(a136,u)
| ~ c8_2(a136,u)
| ~ c4_2(a136,a40)
| c7_2(a136,a137) ),
inference(res,[status(thm),theory(equality)],[1120,1683]),
[iquote('62:Res:1120.0,1683.0')] ).
cnf(1688,plain,
( ~ c9_2(a134,a135)
| ~ c3_2(a134,u)
| ~ c6_2(a134,u)
| ~ c8_2(a134,u)
| ~ c4_2(a134,a40)
| c7_2(a134,a135) ),
inference(res,[status(thm),theory(equality)],[1597,1683]),
[iquote('62:Res:1597.0,1683.0')] ).
cnf(1693,plain,
( ~ c9_2(a44,a132)
| ~ c3_2(a44,u)
| ~ c6_2(a44,u)
| ~ c8_2(a44,u)
| ~ c4_2(a44,a40)
| c7_2(a44,a132) ),
inference(res,[status(thm),theory(equality)],[1560,1683]),
[iquote('62:Res:1560.0,1683.0')] ).
cnf(1683,plain,
( ~ c2_2(u,v)
| ~ c9_2(u,v)
| ~ c3_2(u,w)
| ~ c6_2(u,w)
| ~ c8_2(u,w)
| ~ c4_2(u,a40)
| c7_2(u,v) ),
inference(spt,[],[1252]),
[iquote('62:Spt:1252.0,1252.1,1252.2,1252.3,1252.4,1252.5,1252.7')] ).
cnf(1674,plain,
( ~ c9_2(a136,a137)
| ~ c3_2(a136,u)
| ~ c6_2(a136,u)
| ~ c8_2(a136,u)
| ~ c3_2(a136,a40)
| c7_2(a136,a137) ),
inference(res,[status(thm),theory(equality)],[1120,1671]),
[iquote('61:Res:1120.0,1671.0')] ).
cnf(1676,plain,
( ~ c9_2(a134,a135)
| ~ c3_2(a134,u)
| ~ c6_2(a134,u)
| ~ c8_2(a134,u)
| ~ c3_2(a134,a40)
| c7_2(a134,a135) ),
inference(res,[status(thm),theory(equality)],[1597,1671]),
[iquote('61:Res:1597.0,1671.0')] ).
cnf(1681,plain,
( ~ c9_2(a44,a132)
| ~ c3_2(a44,u)
| ~ c6_2(a44,u)
| ~ c8_2(a44,u)
| ~ c3_2(a44,a40)
| c7_2(a44,a132) ),
inference(res,[status(thm),theory(equality)],[1560,1671]),
[iquote('61:Res:1560.0,1671.0')] ).
cnf(1662,plain,
( ~ c9_2(a136,a137)
| ~ c8_2(a136,u)
| ~ c3_2(a136,u)
| ~ c6_2(a136,u)
| c7_2(a136,a137)
| c9_2(a136,a40) ),
inference(res,[status(thm),theory(equality)],[1120,1659]),
[iquote('60:Res:1120.0,1659.0')] ).
cnf(1671,plain,
( ~ c2_2(u,v)
| ~ c9_2(u,v)
| ~ c3_2(u,w)
| ~ c6_2(u,w)
| ~ c8_2(u,w)
| ~ c3_2(u,a40)
| c7_2(u,v) ),
inference(spt,[],[1251]),
[iquote('61:Spt:1251.0,1251.1,1251.2,1251.3,1251.4,1251.5,1251.7')] ).
cnf(1664,plain,
( ~ c9_2(a134,a135)
| ~ c8_2(a134,u)
| ~ c3_2(a134,u)
| ~ c6_2(a134,u)
| c7_2(a134,a135)
| c9_2(a134,a40) ),
inference(res,[status(thm),theory(equality)],[1597,1659]),
[iquote('60:Res:1597.0,1659.0')] ).
cnf(1659,plain,
( ~ c2_2(u,v)
| ~ c9_2(u,v)
| ~ c8_2(u,w)
| ~ c3_2(u,w)
| ~ c6_2(u,w)
| c7_2(u,v)
| c9_2(u,a40) ),
inference(spt,[],[1250]),
[iquote('60:Spt:1250.0,1250.1,1250.2,1250.3,1250.4,1250.6,1250.7')] ).
cnf(1654,plain,
( ~ c3_1(u)
| ~ skC9
| ~ c2_2(u,a132)
| c3_2(u,a67)
| c5_2(u,a67)
| c10_2(u,a132)
| c2_2(u,a39) ),
inference(ssi,[status(thm)],[1649,1156]),
[iquote('22:SSi:1649.1,1156.1')] ).
cnf(1599,plain,
( ~ c8_1(u)
| ~ skC9
| ~ c5_2(u,v)
| ~ c2_2(u,v)
| c3_2(u,a67)
| c5_2(u,a67)
| c10_2(u,v)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[1196,997]),
[iquote('22:Res:1196.1,997.1')] ).
cnf(1000,plain,
( ~ skC9
| ~ c4_2(u,v)
| ~ c5_2(u,w)
| ~ c2_2(u,w)
| ~ c3_2(u,a39)
| c3_2(u,v)
| c5_2(u,v)
| c10_2(u,w) ),
inference(mrr,[status(thm)],[660,950]),
[iquote('1:MRR:660.0,950.0')] ).
cnf(999,plain,
( ~ skC9
| ~ c4_2(u,v)
| ~ c5_2(u,w)
| ~ c2_2(u,w)
| ~ c9_2(u,a39)
| c3_2(u,v)
| c5_2(u,v)
| c10_2(u,w) ),
inference(mrr,[status(thm)],[661,950]),
[iquote('1:MRR:661.0,950.0')] ).
cnf(1627,plain,
( ~ skP7(u)
| ~ c7_2(u,a85)
| ~ c1_2(u,a131)
| c2_2(u,a85) ),
inference(mrr,[status(thm)],[1626,305]),
[iquote('44:MRR:1626.4,305.1')] ).
cnf(1594,plain,
( ~ skP7(u)
| ~ c6_2(u,v)
| ~ c7_2(u,v)
| ~ c1_2(u,a131)
| c2_2(u,a85)
| c9_2(u,v) ),
inference(mrr,[status(thm)],[1593,305]),
[iquote('44:MRR:1593.5,305.1')] ).
cnf(1172,plain,
( ~ c3_2(u,v)
| ~ c9_2(u,v)
| ~ c4_2(u,v)
| ~ c3_2(u,w)
| ~ c8_2(u,a43)
| c2_2(u,w)
| c4_2(u,w) ),
inference(mrr,[status(thm)],[1144,1158]),
[iquote('15:MRR:1144.0,1158.0')] ).
cnf(1618,plain,
( ~ skP7(u)
| ~ c7_2(u,a85)
| ~ c10_2(u,a131)
| c2_2(u,a85) ),
inference(mrr,[status(thm)],[1617,305]),
[iquote('44:MRR:1617.4,305.1')] ).
cnf(1571,plain,
( ~ skP7(u)
| ~ c6_2(u,v)
| ~ c7_2(u,v)
| ~ c10_2(u,a131)
| c2_2(u,a85)
| c9_2(u,v) ),
inference(mrr,[status(thm)],[1570,305]),
[iquote('44:MRR:1570.5,305.1')] ).
cnf(1615,plain,
c7_1(a134),
inference(spt,[],[1610]),
[iquote('59:Spt:1610.1')] ).
cnf(997,plain,
( ~ skC9
| ~ c4_2(u,v)
| ~ c5_2(u,w)
| ~ c2_2(u,w)
| c3_2(u,v)
| c5_2(u,v)
| c10_2(u,w)
| c2_2(u,a39) ),
inference(mrr,[status(thm)],[657,950]),
[iquote('1:MRR:657.0,950.0')] ).
cnf(1597,plain,
c2_2(a134,a135),
inference(spt,[],[1590]),
[iquote('58:Spt:1590.0')] ).
cnf(1583,plain,
( ~ skP3(a134)
| c2_2(a134,a62)
| c4_2(a134,a62) ),
inference(res,[status(thm),theory(equality)],[275,1580]),
[iquote('57:Res:275.1,1580.0')] ).
cnf(1582,plain,
( ~ skP7(a134)
| c2_2(a134,a85)
| c4_2(a134,a85) ),
inference(res,[status(thm),theory(equality)],[281,1580]),
[iquote('57:Res:281.1,1580.0')] ).
cnf(1310,plain,
( ~ c6_2(u,v)
| ~ c6_2(u,w)
| ~ c7_2(u,w)
| ~ c1_2(u,a131)
| c2_2(u,v)
| c9_2(u,v)
| c9_2(u,w) ),
inference(mrr,[status(thm)],[1002,1307]),
[iquote('44:MRR:1002.0,1307.0')] ).
cnf(1580,plain,
( ~ c3_2(a134,u)
| c2_2(a134,u)
| c4_2(a134,u) ),
inference(spt,[],[1540]),
[iquote('57:Spt:1540.2,1540.3,1540.4')] ).
cnf(1309,plain,
( ~ c6_2(u,v)
| ~ c6_2(u,w)
| ~ c7_2(u,w)
| ~ c10_2(u,a131)
| c2_2(u,v)
| c9_2(u,v)
| c9_2(u,w) ),
inference(mrr,[status(thm)],[1001,1307]),
[iquote('44:MRR:1001.0,1307.0')] ).
cnf(1551,plain,
( ~ skP3(a44)
| c2_2(a44,a62)
| c4_2(a44,a62) ),
inference(res,[status(thm),theory(equality)],[275,1549]),
[iquote('56:Res:275.1,1549.0')] ).
cnf(1550,plain,
( ~ skP7(a44)
| c2_2(a44,a85)
| c4_2(a44,a85) ),
inference(res,[status(thm),theory(equality)],[281,1549]),
[iquote('56:Res:281.1,1549.0')] ).
cnf(1560,plain,
c2_2(a44,a132),
inference(ssi,[status(thm)],[1556,1085,1086]),
[iquote('56:SSi:1556.0,1085.0,1086.0')] ).
cnf(1171,plain,
( ~ c3_2(u,v)
| ~ c9_2(u,v)
| ~ c4_2(u,v)
| ~ c3_2(u,w)
| c2_2(u,w)
| c4_2(u,w)
| c10_2(u,a43) ),
inference(mrr,[status(thm)],[1143,1158]),
[iquote('15:MRR:1143.0,1158.0')] ).
cnf(1549,plain,
( ~ c3_2(a44,u)
| c2_2(a44,u)
| c4_2(a44,u) ),
inference(spt,[],[1545]),
[iquote('56:Spt:1545.2,1545.3,1545.4')] ).
cnf(1546,plain,
c7_1(a18),
inference(spt,[],[1531]),
[iquote('55:Spt:1531.2')] ).
cnf(1170,plain,
( ~ c3_2(u,v)
| ~ c9_2(u,v)
| ~ c4_2(u,v)
| ~ c3_2(u,w)
| c2_2(u,w)
| c4_2(u,w)
| c1_2(u,a43) ),
inference(mrr,[status(thm)],[1142,1158]),
[iquote('15:MRR:1142.0,1158.0')] ).
cnf(1523,plain,
( ~ skP1(a18)
| c3_2(a18,a57)
| c2_2(a18,a57) ),
inference(res,[status(thm),theory(equality)],[272,1521]),
[iquote('54:Res:272.1,1521.0')] ).
cnf(1522,plain,
( ~ skP2(a18)
| c3_2(a18,a60)
| c2_2(a18,a60) ),
inference(res,[status(thm),theory(equality)],[273,1521]),
[iquote('54:Res:273.1,1521.0')] ).
cnf(1529,plain,
( ~ skP0(a18)
| c2_2(a18,a49) ),
inference(mrr,[status(thm)],[1524,296]),
[iquote('54:MRR:1524.1,296.1')] ).
cnf(1528,plain,
( c3_2(a18,a70)
| c2_2(a18,a70) ),
inference(res,[status(thm),theory(equality)],[1495,1521]),
[iquote('54:Res:1495.0,1521.0')] ).
cnf(1527,plain,
( c3_2(a18,a132)
| c2_2(a18,a132) ),
inference(res,[status(thm),theory(equality)],[1320,1521]),
[iquote('54:Res:1320.0,1521.0')] ).
cnf(1521,plain,
( ~ c7_2(a18,u)
| c3_2(a18,u)
| c2_2(a18,u) ),
inference(spt,[],[1493]),
[iquote('54:Spt:1493.1,1493.5,1493.6')] ).
cnf(1514,plain,
( ~ skP7(u)
| ~ c7_2(u,a85)
| c2_2(u,a85)
| c2_2(u,a131) ),
inference(mrr,[status(thm)],[1513,305]),
[iquote('44:MRR:1513.3,305.1')] ).
cnf(1511,plain,
( ~ skP7(u)
| ~ c6_2(u,v)
| ~ c7_2(u,v)
| c2_2(u,a85)
| c9_2(u,v)
| c2_2(u,a131) ),
inference(mrr,[status(thm)],[1510,305]),
[iquote('44:MRR:1510.4,305.1')] ).
cnf(1509,plain,
( ~ c7_1(a29)
| c3_2(a29,a133)
| c2_2(a29,a133) ),
inference(sor,[status(thm)],[1503,1108]),
[iquote('53:SoR:1503.0,1108.1')] ).
cnf(1504,plain,
( ~ c7_1(a29)
| c3_2(a29,a146)
| c2_2(a29,a146) ),
inference(res,[status(thm),theory(equality)],[1314,1499]),
[iquote('53:Res:1314.1,1499.0')] ).
cnf(1308,plain,
( ~ c6_2(u,v)
| ~ c6_2(u,w)
| ~ c7_2(u,w)
| c2_2(u,v)
| c9_2(u,v)
| c9_2(u,w)
| c2_2(u,a131) ),
inference(mrr,[status(thm)],[998,1307]),
[iquote('44:MRR:998.0,1307.0')] ).
cnf(1503,plain,
( ~ c6_1(a29)
| c3_2(a29,a133)
| c2_2(a29,a133) ),
inference(res,[status(thm),theory(equality)],[1195,1499]),
[iquote('53:Res:1195.1,1499.0')] ).
cnf(1501,plain,
( ~ skP1(a29)
| c3_2(a29,a57)
| c2_2(a29,a57) ),
inference(res,[status(thm),theory(equality)],[272,1499]),
[iquote('53:Res:272.1,1499.0')] ).
cnf(1500,plain,
( ~ skP2(a29)
| c3_2(a29,a60)
| c2_2(a29,a60) ),
inference(res,[status(thm),theory(equality)],[273,1499]),
[iquote('53:Res:273.1,1499.0')] ).
cnf(1505,plain,
( ~ skP0(a29)
| c2_2(a29,a49) ),
inference(mrr,[status(thm)],[1502,296]),
[iquote('53:MRR:1502.1,296.1')] ).
cnf(1216,plain,
( ~ c8_2(u,v)
| ~ c9_2(u,v)
| ~ c7_2(u,w)
| ~ c10_2(u,a42)
| c3_2(u,w)
| c2_2(u,w) ),
inference(mrr,[status(thm)],[1207,1204]),
[iquote('22:MRR:1207.4,1204.0')] ).
cnf(1499,plain,
( ~ c7_2(a29,u)
| c3_2(a29,u)
| c2_2(a29,u) ),
inference(spt,[],[1496]),
[iquote('53:Spt:1496.1,1496.2,1496.3')] ).
cnf(1215,plain,
( ~ c8_2(u,v)
| ~ c9_2(u,v)
| ~ c7_2(u,w)
| c3_2(u,w)
| c2_2(u,w)
| c4_2(u,a42) ),
inference(mrr,[status(thm)],[1206,1204]),
[iquote('22:MRR:1206.3,1204.0')] ).
cnf(1495,plain,
c7_2(a18,a70),
inference(spt,[],[1479]),
[iquote('52:Spt:1479.2')] ).
cnf(1214,plain,
( ~ c8_2(u,v)
| ~ c9_2(u,v)
| ~ c7_2(u,w)
| c3_2(u,w)
| c2_2(u,w)
| c5_2(u,a42) ),
inference(mrr,[status(thm)],[1205,1204]),
[iquote('22:MRR:1205.3,1204.0')] ).
cnf(1490,plain,
skP1(a53),
inference(spt,[],[1423]),
[iquote('51:Spt:1423.1')] ).
cnf(1266,plain,
( ~ c8_1(u)
| ~ c8_2(u,v)
| ~ c6_2(u,v)
| ~ c4_2(u,v)
| c10_2(u,a92) ),
inference(mrr,[status(thm)],[1104,1263]),
[iquote('39:MRR:1104.4,1263.0')] ).
cnf(1265,plain,
( ~ c8_1(u)
| ~ c8_2(u,v)
| ~ c6_2(u,v)
| ~ c4_2(u,v)
| c9_2(u,a92) ),
inference(mrr,[status(thm)],[1103,1263]),
[iquote('39:MRR:1103.4,1263.0')] ).
cnf(1264,plain,
( ~ c8_1(u)
| ~ c8_2(u,v)
| ~ c6_2(u,v)
| ~ c4_2(u,v)
| c8_2(u,a92) ),
inference(mrr,[status(thm)],[1102,1263]),
[iquote('39:MRR:1102.4,1263.0')] ).
cnf(967,plain,
( ~ skC14
| ~ c1_2(u,v)
| ~ c5_2(u,a61)
| skP2(u)
| c5_2(u,v)
| c7_2(u,v) ),
inference(mrr,[status(thm)],[621,950]),
[iquote('1:MRR:621.0,950.0')] ).
cnf(1412,plain,
( ~ skP5(a51)
| ~ c1_2(a51,a111)
| ~ c9_2(a51,a111)
| c5_1(a51)
| c7_1(a51)
| c10_2(a51,a79) ),
inference(res,[status(thm),theory(equality)],[1404,1188]),
[iquote('42:Res:1404.4,1188.0')] ).
cnf(1399,plain,
( ~ skP5(a51)
| ~ c1_2(a51,a79)
| ~ c9_2(a51,a79)
| c5_1(a51)
| c7_1(a51)
| c10_2(a51,a79) ),
inference(res,[status(thm),theory(equality)],[1385,1188]),
[iquote('22:Res:1385.4,1188.0')] ).
cnf(1425,plain,
( ~ c3_1(a51)
| ~ c1_2(a51,a111)
| ~ c9_2(a51,a111)
| c8_2(a51,a67)
| c10_2(a51,a67) ),
inference(sor,[status(thm)],[1373,1156]),
[iquote('42:SoR:1373.0,1156.1')] ).
cnf(1460,plain,
( ~ c2_1(u)
| ~ c4_1(u)
| ~ c1_1(u)
| ~ c3_2(u,a70)
| c3_2(u,a118) ),
inference(mrr,[status(thm)],[1452,1176]),
[iquote('32:MRR:1452.4,1176.2')] ).
cnf(1271,plain,
( ~ c5_1(u)
| ~ c1_2(u,v)
| ~ c5_2(u,v)
| c7_2(u,v)
| c8_2(u,a76) ),
inference(mrr,[status(thm)],[1066,1268]),
[iquote('41:MRR:1066.3,1268.0')] ).
cnf(1455,plain,
( ~ skP6(u)
| ~ c1_1(u)
| ~ c3_2(u,a70)
| c2_2(u,a84)
| c3_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[279,1247]),
[iquote('32:Res:279.1,1247.1')] ).
cnf(1454,plain,
( ~ skP2(u)
| ~ c1_1(u)
| ~ c3_2(u,a70)
| c2_2(u,a60)
| c3_2(u,a60) ),
inference(res,[status(thm),theory(equality)],[274,1247]),
[iquote('32:Res:274.1,1247.1')] ).
cnf(1443,plain,
( ~ c2_1(u)
| ~ c4_1(u)
| ~ c1_1(u)
| ~ c4_2(u,a70)
| c3_2(u,a118) ),
inference(mrr,[status(thm)],[1435,1176]),
[iquote('32:MRR:1435.4,1176.2')] ).
cnf(1270,plain,
( ~ c5_1(u)
| ~ c1_2(u,v)
| ~ c5_2(u,v)
| c7_2(u,v)
| c6_2(u,a76) ),
inference(mrr,[status(thm)],[1065,1268]),
[iquote('41:MRR:1065.3,1268.0')] ).
cnf(1438,plain,
( ~ skP6(u)
| ~ c1_1(u)
| ~ c4_2(u,a70)
| c2_2(u,a84)
| c3_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[279,1246]),
[iquote('32:Res:279.1,1246.1')] ).
cnf(1437,plain,
( ~ skP2(u)
| ~ c1_1(u)
| ~ c4_2(u,a70)
| c2_2(u,a60)
| c3_2(u,a60) ),
inference(res,[status(thm),theory(equality)],[274,1246]),
[iquote('32:Res:274.1,1246.1')] ).
cnf(1269,plain,
( ~ c5_1(u)
| ~ c1_2(u,v)
| ~ c5_2(u,v)
| c7_2(u,v)
| c7_2(u,a76) ),
inference(mrr,[status(thm)],[1064,1268]),
[iquote('41:MRR:1064.3,1268.0')] ).
cnf(1434,plain,
( ~ c2_1(u)
| ~ c4_1(u)
| ~ c1_1(u)
| ~ c5_2(u,a70)
| c3_2(u,a118) ),
inference(mrr,[status(thm)],[1426,1176]),
[iquote('32:MRR:1426.4,1176.2')] ).
cnf(1459,plain,
( ~ skP0(u)
| ~ c1_1(u)
| ~ c3_2(u,a70)
| c2_2(u,a49) ),
inference(mrr,[status(thm)],[1457,296]),
[iquote('32:MRR:1457.4,296.1')] ).
cnf(1458,plain,
( ~ c3_1(u)
| ~ c3_2(u,a70)
| c2_2(u,a132)
| c3_2(u,a132) ),
inference(ssi,[status(thm)],[1453,1156,1151]),
[iquote('32:SSi:1453.1,1156.1,1151.1')] ).
cnf(1247,plain,
( ~ c1_1(u)
| ~ c5_2(u,v)
| ~ c3_2(u,a70)
| c2_2(u,v)
| c3_2(u,v) ),
inference(mrr,[status(thm)],[1140,1244]),
[iquote('32:MRR:1140.3,1244.0')] ).
cnf(1442,plain,
( ~ skP0(u)
| ~ c1_1(u)
| ~ c4_2(u,a70)
| c2_2(u,a49) ),
inference(mrr,[status(thm)],[1440,296]),
[iquote('32:MRR:1440.4,296.1')] ).
cnf(1441,plain,
( ~ c3_1(u)
| ~ c4_2(u,a70)
| c2_2(u,a132)
| c3_2(u,a132) ),
inference(ssi,[status(thm)],[1436,1156,1151]),
[iquote('32:SSi:1436.1,1156.1,1151.1')] ).
cnf(1246,plain,
( ~ c1_1(u)
| ~ c5_2(u,v)
| ~ c4_2(u,a70)
| c2_2(u,v)
| c3_2(u,v) ),
inference(mrr,[status(thm)],[1139,1244]),
[iquote('32:MRR:1139.3,1244.0')] ).
cnf(1429,plain,
( ~ skP6(u)
| ~ c1_1(u)
| ~ c5_2(u,a70)
| c2_2(u,a84)
| c3_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[279,1245]),
[iquote('32:Res:279.1,1245.1')] ).
cnf(1428,plain,
( ~ skP2(u)
| ~ c1_1(u)
| ~ c5_2(u,a70)
| c2_2(u,a60)
| c3_2(u,a60) ),
inference(res,[status(thm),theory(equality)],[274,1245]),
[iquote('32:Res:274.1,1245.1')] ).
cnf(1433,plain,
( ~ skP0(u)
| ~ c1_1(u)
| ~ c5_2(u,a70)
| c2_2(u,a49) ),
inference(mrr,[status(thm)],[1431,296]),
[iquote('32:MRR:1431.4,296.1')] ).
cnf(1432,plain,
( ~ c3_1(u)
| ~ c5_2(u,a70)
| c2_2(u,a132)
| c3_2(u,a132) ),
inference(ssi,[status(thm)],[1427,1156,1151]),
[iquote('32:SSi:1427.1,1156.1,1151.1')] ).
cnf(1245,plain,
( ~ c1_1(u)
| ~ c5_2(u,v)
| ~ c5_2(u,a70)
| c2_2(u,v)
| c3_2(u,v) ),
inference(mrr,[status(thm)],[1138,1244]),
[iquote('32:MRR:1138.3,1244.0')] ).
cnf(1411,plain,
( ~ skP5(a127)
| ~ c7_2(a127,a111)
| c5_1(a127)
| c7_1(a127)
| c10_2(a127,a79)
| c10_2(a127,a111) ),
inference(res,[status(thm),theory(equality)],[1404,1150]),
[iquote('42:Res:1404.4,1150.0')] ).
cnf(1373,plain,
( ~ c8_1(a51)
| ~ c1_2(a51,a111)
| ~ c9_2(a51,a111)
| c8_2(a51,a67)
| c10_2(a51,a67) ),
inference(res,[status(thm),theory(equality)],[1366,1188]),
[iquote('42:Res:1366.3,1188.0')] ).
cnf(1415,plain,
( ~ c3_1(a56)
| c1_1(u)
| c6_1(u)
| c4_2(u,v)
| c6_2(u,v)
| c2_2(u,v) ),
inference(res,[status(thm),theory(equality)],[1156,1212]),
[iquote('22:Res:1156.1,1212.0')] ).
cnf(1413,plain,
( ~ c8_1(a56)
| c1_1(u)
| c6_1(u)
| c4_2(u,v)
| c6_2(u,v)
| c2_2(u,v) ),
inference(res,[status(thm),theory(equality)],[1151,1211]),
[iquote('22:Res:1151.1,1211.0')] ).
cnf(962,plain,
( ~ skC14
| ~ c1_2(u,v)
| skP2(u)
| c5_2(u,v)
| c7_2(u,v)
| c9_2(u,a61) ),
inference(mrr,[status(thm)],[616,950]),
[iquote('1:MRR:616.0,950.0')] ).
cnf(1416,plain,
( ~ c4_1(a29)
| ~ c8_1(a29)
| c7_2(a29,a30)
| c2_2(a29,a30) ),
inference(res,[status(thm),theory(equality)],[1160,1213]),
[iquote('22:Res:1160.0,1213.2')] ).
cnf(1213,plain,
( ~ c4_1(u)
| ~ c8_1(u)
| ~ c8_2(u,v)
| c7_2(u,v)
| c2_2(u,v) ),
inference(mrr,[status(thm)],[1181,1194]),
[iquote('22:MRR:1181.3,1194.0')] ).
cnf(1414,plain,
( ~ c3_1(a127)
| ~ c7_2(a127,a111)
| c8_2(a127,a67)
| c10_2(a127,a67)
| c10_2(a127,a111) ),
inference(sor,[status(thm)],[1372,1156]),
[iquote('42:SoR:1372.0,1156.1')] ).
cnf(1212,plain,
( ~ c8_1(a56)
| c1_1(u)
| c6_1(u)
| c4_2(u,v)
| c6_2(u,v)
| c2_2(u,v) ),
inference(mrr,[status(thm)],[960,1203]),
[iquote('22:MRR:960.1,1203.0')] ).
cnf(1407,plain,
( ~ skP5(a53)
| c5_1(a53)
| c7_1(a53)
| c5_2(a53,a111)
| c7_2(a53,a79)
| c4_2(a53,a79) ),
inference(res,[status(thm),theory(equality)],[1402,1166]),
[iquote('42:Res:1402.3,1166.0')] ).
cnf(1372,plain,
( ~ c8_1(a127)
| ~ c7_2(a127,a111)
| c8_2(a127,a67)
| c10_2(a127,a67)
| c10_2(a127,a111) ),
inference(res,[status(thm),theory(equality)],[1366,1150]),
[iquote('42:Res:1366.3,1150.0')] ).
cnf(1406,plain,
( ~ skP5(u)
| ~ c3_2(u,a111)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79) ),
inference(mrr,[status(thm)],[1405,303]),
[iquote('42:MRR:1405.4,303.1')] ).
cnf(1400,plain,
( ~ skP5(a127)
| ~ c7_2(a127,a79)
| c5_1(a127)
| c7_1(a127)
| c10_2(a127,a79) ),
inference(obv,[status(thm),theory(equality)],[1398]),
[iquote('7:Obv:1398.4')] ).
cnf(1211,plain,
( ~ c1_1(a56)
| c1_1(u)
| c6_1(u)
| c4_2(u,v)
| c6_2(u,v)
| c2_2(u,v) ),
inference(mrr,[status(thm)],[959,1203]),
[iquote('22:MRR:959.1,1203.0')] ).
cnf(1404,plain,
( ~ skP5(u)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c4_2(u,a111) ),
inference(mrr,[status(thm)],[1403,303]),
[iquote('42:MRR:1403.3,303.1')] ).
cnf(1402,plain,
( ~ skP5(u)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c5_2(u,a111) ),
inference(mrr,[status(thm)],[1401,303]),
[iquote('42:MRR:1401.3,303.1')] ).
cnf(1385,plain,
( ~ skP5(u)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c4_2(u,a79) ),
inference(res,[status(thm),theory(equality)],[277,1105]),
[iquote('4:Res:277.1,1105.0')] ).
cnf(1392,plain,
( ~ c3_1(a29)
| ~ c6_2(a29,a30)
| c6_1(a29)
| c1_2(a29,a30) ),
inference(res,[status(thm),theory(equality)],[1160,1193]),
[iquote('22:Res:1160.0,1193.1')] ).
cnf(1193,plain,
( ~ c3_1(u)
| ~ c8_2(u,v)
| ~ c6_2(u,v)
| c6_1(u)
| c1_2(u,v) ),
inference(mrr,[status(thm)],[1063,1185]),
[iquote('22:MRR:1063.1,1185.0')] ).
cnf(1389,plain,
( skP1(u)
| c9_1(u)
| c5_1(u)
| c7_1(u)
| c10_2(u,a58) ),
inference(mrr,[status(thm)],[1386,1348]),
[iquote('49:MRR:1386.5,1348.0')] ).
cnf(1105,plain,
( ~ c2_2(u,v)
| c5_1(u)
| c7_1(u)
| c10_2(u,v)
| c4_2(u,v) ),
inference(mrr,[status(thm)],[1083,1092]),
[iquote('4:MRR:1083.0,1092.0')] ).
cnf(1380,plain,
( ~ c8_1(u)
| ~ c3_2(u,a111)
| c8_2(u,a67)
| c10_2(u,a67) ),
inference(res,[status(thm),theory(equality)],[1196,1275]),
[iquote('42:Res:1196.1,1275.0')] ).
cnf(1275,plain,
( ~ c4_2(u,v)
| ~ c3_2(u,a111)
| c8_2(u,v)
| c10_2(u,v) ),
inference(mrr,[status(thm)],[957,1272]),
[iquote('42:MRR:957.0,1272.0')] ).
cnf(1374,plain,
( ~ c8_1(u)
| c8_2(u,a67)
| c10_2(u,a67)
| c5_2(u,a111) ),
inference(res,[status(thm),theory(equality)],[1196,1274]),
[iquote('42:Res:1196.1,1274.0')] ).
cnf(1274,plain,
( ~ c4_2(u,v)
| c8_2(u,v)
| c10_2(u,v)
| c5_2(u,a111) ),
inference(mrr,[status(thm)],[953,1272]),
[iquote('42:MRR:953.0,1272.0')] ).
cnf(1366,plain,
( ~ c8_1(u)
| c8_2(u,a67)
| c10_2(u,a67)
| c4_2(u,a111) ),
inference(res,[status(thm),theory(equality)],[1196,1273]),
[iquote('42:Res:1196.1,1273.0')] ).
cnf(1370,plain,
( c7_2(a18,u)
| c8_2(a18,u)
| c10_2(a18,u) ),
inference(spt,[],[1369]),
[iquote('50:Spt:1369.0,1369.1,1369.2')] ).
cnf(1273,plain,
( ~ c4_2(u,v)
| c8_2(u,v)
| c10_2(u,v)
| c4_2(u,a111) ),
inference(mrr,[status(thm)],[952,1272]),
[iquote('42:MRR:952.0,1272.0')] ).
cnf(1365,plain,
( ~ c3_1(a51)
| ~ c1_2(a51,a67)
| ~ c9_2(a51,a67) ),
inference(sor,[status(thm)],[1363,1156]),
[iquote('22:SoR:1363.0,1156.1')] ).
cnf(1363,plain,
( ~ c8_1(a51)
| ~ c1_2(a51,a67)
| ~ c9_2(a51,a67) ),
inference(res,[status(thm),theory(equality)],[1196,1188]),
[iquote('22:Res:1196.1,1188.0')] ).
cnf(1359,plain,
( ~ skP3(a134)
| ~ c2_2(a134,a62)
| ~ c7_2(a134,a62) ),
inference(res,[status(thm),theory(equality)],[276,1091]),
[iquote('3:Res:276.1,1091.0')] ).
cnf(1358,plain,
( ~ skP6(a134)
| ~ c2_2(a134,a84)
| ~ c7_2(a134,a84) ),
inference(res,[status(thm),theory(equality)],[279,1091]),
[iquote('3:Res:279.1,1091.0')] ).
cnf(1188,plain,
( ~ c4_2(a51,u)
| ~ c1_2(a51,u)
| ~ c9_2(a51,u) ),
inference(mrr,[status(thm)],[1134,1180]),
[iquote('22:MRR:1134.0,1180.0')] ).
cnf(1356,plain,
( ~ c3_1(a134)
| ~ c2_2(a134,a132)
| ~ c7_2(a134,a132) ),
inference(res,[status(thm),theory(equality)],[1177,1091]),
[iquote('19:Res:1177.1,1091.0')] ).
cnf(1354,plain,
( ~ c3_1(a127)
| ~ c7_2(a127,a67)
| c10_2(a127,a67) ),
inference(sor,[status(thm)],[1352,1156]),
[iquote('22:SoR:1352.0,1156.1')] ).
cnf(1362,plain,
( ~ skP0(a134)
| ~ c2_2(a134,a49) ),
inference(mrr,[status(thm)],[1360,271]),
[iquote('3:MRR:1360.2,271.1')] ).
cnf(1361,plain,
( ~ skP2(a134)
| ~ c2_2(a134,a60) ),
inference(mrr,[status(thm)],[1357,273]),
[iquote('3:MRR:1357.2,273.1')] ).
cnf(1091,plain,
( ~ c5_2(a134,u)
| ~ c2_2(a134,u)
| ~ c7_2(a134,u) ),
inference(mrr,[status(thm)],[1058,1068]),
[iquote('3:MRR:1058.0,1068.0')] ).
cnf(1352,plain,
( ~ c8_1(a127)
| ~ c7_2(a127,a67)
| c10_2(a127,a67) ),
inference(res,[status(thm),theory(equality)],[1196,1150]),
[iquote('22:Res:1196.1,1150.0')] ).
cnf(1150,plain,
( ~ c4_2(a127,u)
| ~ c7_2(a127,u)
| c10_2(a127,u) ),
inference(mrr,[status(thm)],[1082,1117]),
[iquote('7:MRR:1082.2,1117.0')] ).
cnf(1349,plain,
( c7_2(a18,a58)
| c8_2(a18,a58)
| skP1(a18)
| c9_1(a18) ),
inference(mrr,[status(thm)],[1321,1345]),
[iquote('49:MRR:1321.0,1345.0')] ).
cnf(1348,plain,
( ~ c4_2(u,a58)
| skP1(u)
| c9_1(u) ),
inference(mrr,[status(thm)],[549,1345]),
[iquote('49:MRR:549.0,1345.0')] ).
cnf(1347,plain,
( skP1(u)
| c9_1(u)
| c3_2(u,a58) ),
inference(mrr,[status(thm)],[536,1345]),
[iquote('49:MRR:536.0,1345.0')] ).
cnf(1346,plain,
( skP1(u)
| c9_1(u)
| c2_2(u,a58) ),
inference(mrr,[status(thm)],[535,1345]),
[iquote('49:MRR:535.0,1345.0')] ).
cnf(1345,plain,
skC13,
inference(spt,[],[1115]),
[iquote('49:Spt:1115.1')] ).
cnf(1344,plain,
( ~ c7_1(u)
| ~ c9_2(u,a146)
| skC30 ),
inference(spt,[],[1343,1201]),
[iquote('48:Spt:1343.0,1201.0,1201.1,1201.2')] ).
cnf(1341,plain,
( ~ c7_1(u)
| ~ c1_2(u,a146)
| skC30 ),
inference(spt,[],[1340,1200]),
[iquote('47:Spt:1340.0,1200.0,1200.1,1200.2')] ).
cnf(1338,plain,
( skP5(a53)
| c7_1(a53)
| c6_2(a53,a80)
| c1_2(a53,a80) ),
inference(res,[status(thm),theory(equality)],[1190,1167]),
[iquote('22:Res:1190.2,1167.0')] ).
cnf(1337,plain,
( ~ skP3(a53)
| c6_2(a53,a62)
| c1_2(a53,a62) ),
inference(res,[status(thm),theory(equality)],[275,1167]),
[iquote('15:Res:275.1,1167.0')] ).
cnf(1330,plain,
( ~ c2_1(a44)
| c3_2(a44,a118)
| c4_2(a44,a118) ),
inference(ssi,[status(thm)],[1322,1085,1086]),
[iquote('16:SSi:1322.1,1085.0,1086.0')] ).
cnf(1325,plain,
( ~ skP6(a44)
| c3_2(a44,a84)
| c4_2(a44,a84) ),
inference(res,[status(thm),theory(equality)],[279,1090]),
[iquote('3:Res:279.1,1090.0')] ).
cnf(1167,plain,
( ~ c3_2(a53,u)
| c6_2(a53,u)
| c1_2(a53,u) ),
inference(mrr,[status(thm)],[1080,1158]),
[iquote('15:MRR:1080.0,1158.0')] ).
cnf(1324,plain,
( ~ skP2(a44)
| c3_2(a44,a60)
| c4_2(a44,a60) ),
inference(res,[status(thm),theory(equality)],[274,1090]),
[iquote('3:Res:274.1,1090.0')] ).
cnf(1335,plain,
( skP5(a53)
| c7_1(a53)
| c7_2(a53,a80) ),
inference(mrr,[status(thm)],[1333,1192]),
[iquote('22:MRR:1333.3,1192.0')] ).
cnf(1329,plain,
( ~ skP0(a44)
| c4_2(a44,a49) ),
inference(mrr,[status(thm)],[1327,296]),
[iquote('3:MRR:1327.1,296.1')] ).
cnf(1332,plain,
c3_2(a44,a132),
inference(ssi,[status(thm)],[1331,1085,1086]),
[iquote('20:SSi:1331.0,1085.0,1086.0')] ).
cnf(1166,plain,
( ~ c10_2(a53,u)
| c7_2(a53,u)
| c4_2(a53,u) ),
inference(mrr,[status(thm)],[1079,1158]),
[iquote('15:MRR:1079.0,1158.0')] ).
cnf(1090,plain,
( ~ c5_2(a44,u)
| c3_2(a44,u)
| c4_2(a44,u) ),
inference(mrr,[status(thm)],[1059,1068]),
[iquote('3:MRR:1059.0,1068.0')] ).
cnf(546,plain,
( ~ c1_1(u)
| ~ skC30
| c9_1(u)
| c3_2(u,a145) ),
inference(mrr,[status(thm)],[366,505]),
[iquote('0:MRR:366.2,505.0')] ).
cnf(547,plain,
( ~ c4_1(u)
| ~ skC29
| c5_1(u)
| c4_2(u,a138) ),
inference(mrr,[status(thm)],[365,505]),
[iquote('0:MRR:365.2,505.0')] ).
cnf(545,plain,
( ~ c1_1(u)
| ~ skC30
| c9_1(u)
| c1_2(u,a145) ),
inference(mrr,[status(thm)],[367,505]),
[iquote('0:MRR:367.2,505.0')] ).
cnf(1320,plain,
c7_2(a18,a132),
inference(ssi,[status(thm)],[1319,1254,1255]),
[iquote('35:SSi:1319.0,1254.0,1255.0')] ).
cnf(1261,plain,
( ~ c6_1(u)
| ~ c9_2(u,a89)
| c4_1(u) ),
inference(mrr,[status(thm)],[1133,1258]),
[iquote('37:MRR:1133.2,1258.0')] ).
cnf(1256,plain,
( c7_2(a18,u)
| c4_2(a18,u)
| c8_2(a18,u) ),
inference(mrr,[status(thm)],[1081,1253]),
[iquote('35:MRR:1081.0,1253.0')] ).
cnf(1210,plain,
( c1_2(a122,u)
| c3_2(a122,u)
| c10_2(a122,u) ),
inference(mrr,[status(thm)],[1137,1202]),
[iquote('22:MRR:1137.0,1202.0')] ).
cnf(1314,plain,
( ~ c7_1(u)
| c7_2(u,a146) ),
inference(spt,[],[1313]),
[iquote('46:Spt:1313.0,1313.2')] ).
cnf(1307,plain,
skC27,
inference(spt,[],[1197]),
[iquote('44:Spt:1197.3')] ).
cnf(1260,plain,
( ~ c6_1(u)
| c4_1(u)
| c10_2(u,a89) ),
inference(mrr,[status(thm)],[1132,1258]),
[iquote('37:MRR:1132.1,1258.0')] ).
cnf(1259,plain,
( ~ c6_1(u)
| c4_1(u)
| c4_2(u,a89) ),
inference(mrr,[status(thm)],[1131,1258]),
[iquote('37:MRR:1131.1,1258.0')] ).
cnf(1192,plain,
( ~ c4_2(u,a80)
| skP5(u)
| c7_1(u) ),
inference(mrr,[status(thm)],[558,1185]),
[iquote('22:MRR:558.0,1185.0')] ).
cnf(1191,plain,
( skP5(u)
| c7_1(u)
| c10_2(u,a80) ),
inference(mrr,[status(thm)],[540,1185]),
[iquote('22:MRR:540.0,1185.0')] ).
cnf(1190,plain,
( skP5(u)
| c7_1(u)
| c3_2(u,a80) ),
inference(mrr,[status(thm)],[539,1185]),
[iquote('22:MRR:539.0,1185.0')] ).
cnf(1168,plain,
( ~ c8_1(u)
| c7_1(u)
| c5_1(u) ),
inference(mrr,[status(thm)],[1099,1158]),
[iquote('15:MRR:1099.1,1158.0')] ).
cnf(304,axiom,
( ~ skP6(u)
| ~ c8_2(u,a84) ),
file('SYN418+1.p',unknown),
[] ).
cnf(303,axiom,
( ~ skP5(u)
| ~ c8_2(u,a79) ),
file('SYN418+1.p',unknown),
[] ).
cnf(296,axiom,
( ~ skP0(u)
| ~ c3_2(u,a49) ),
file('SYN418+1.p',unknown),
[] ).
cnf(298,axiom,
( ~ skP1(u)
| ~ c4_2(u,a57) ),
file('SYN418+1.p',unknown),
[] ).
cnf(297,axiom,
( ~ skP1(u)
| ~ c5_2(u,a57) ),
file('SYN418+1.p',unknown),
[] ).
cnf(300,axiom,
( ~ skP3(u)
| ~ c9_2(u,a62) ),
file('SYN418+1.p',unknown),
[] ).
cnf(305,axiom,
( ~ skP7(u)
| ~ c9_2(u,a85) ),
file('SYN418+1.p',unknown),
[] ).
cnf(299,axiom,
( ~ skP2(u)
| ~ c9_2(u,a60) ),
file('SYN418+1.p',unknown),
[] ).
cnf(302,axiom,
( ~ skP4(u)
| ~ c9_2(u,a64) ),
file('SYN418+1.p',unknown),
[] ).
cnf(301,axiom,
( ~ skP4(u)
| ~ c6_2(u,a64) ),
file('SYN418+1.p',unknown),
[] ).
cnf(1303,plain,
~ c6_2(a22,a24),
inference(ems,[status(thm)],[1231,1255]),
[iquote('35:EmS:1231.0,1255.0')] ).
cnf(1299,plain,
~ c1_2(a22,a24),
inference(ems,[status(thm)],[1230,1255]),
[iquote('35:EmS:1230.0,1255.0')] ).
cnf(1196,plain,
( ~ c8_1(u)
| c4_2(u,a67) ),
inference(mrr,[status(thm)],[1153,1189]),
[iquote('22:MRR:1153.1,1189.0')] ).
cnf(1195,plain,
( ~ c6_1(u)
| c7_2(u,a133) ),
inference(mrr,[status(thm)],[1152,1189]),
[iquote('22:MRR:1152.0,1189.0')] ).
cnf(1295,plain,
~ c2_2(a22,a24),
inference(ems,[status(thm)],[1229,1255]),
[iquote('35:EmS:1229.0,1255.0')] ).
cnf(271,axiom,
( ~ skP0(u)
| c7_2(u,a49) ),
file('SYN418+1.p',unknown),
[] ).
cnf(272,axiom,
( ~ skP1(u)
| c7_2(u,a57) ),
file('SYN418+1.p',unknown),
[] ).
cnf(273,axiom,
( ~ skP2(u)
| c7_2(u,a60) ),
file('SYN418+1.p',unknown),
[] ).
cnf(275,axiom,
( ~ skP3(u)
| c3_2(u,a62) ),
file('SYN418+1.p',unknown),
[] ).
cnf(281,axiom,
( ~ skP7(u)
| c3_2(u,a85) ),
file('SYN418+1.p',unknown),
[] ).
cnf(277,axiom,
( ~ skP5(u)
| c2_2(u,a79) ),
file('SYN418+1.p',unknown),
[] ).
cnf(270,axiom,
( ~ skP0(u)
| c5_2(u,a49) ),
file('SYN418+1.p',unknown),
[] ).
cnf(276,axiom,
( ~ skP3(u)
| c5_2(u,a62) ),
file('SYN418+1.p',unknown),
[] ).
cnf(279,axiom,
( ~ skP6(u)
| c5_2(u,a84) ),
file('SYN418+1.p',unknown),
[] ).
cnf(274,axiom,
( ~ skP2(u)
| c5_2(u,a60) ),
file('SYN418+1.p',unknown),
[] ).
cnf(278,axiom,
( ~ skP6(u)
| c9_2(u,a84) ),
file('SYN418+1.p',unknown),
[] ).
cnf(280,axiom,
( ~ skP7(u)
| c6_2(u,a85) ),
file('SYN418+1.p',unknown),
[] ).
cnf(1291,plain,
c2_2(a22,a23),
inference(ems,[status(thm)],[1228,1255]),
[iquote('35:EmS:1228.0,1255.0')] ).
cnf(1287,plain,
c7_2(a22,a23),
inference(ems,[status(thm)],[1227,1255]),
[iquote('35:EmS:1227.0,1255.0')] ).
cnf(1283,plain,
c10_2(a22,a23),
inference(ems,[status(thm)],[1226,1255]),
[iquote('35:EmS:1226.0,1255.0')] ).
cnf(1279,plain,
c8_1(a22),
inference(ems,[status(thm)],[1225,1255]),
[iquote('35:EmS:1225.0,1255.0')] ).
cnf(1238,plain,
~ c2_2(a102,a103),
inference(mrr,[status(thm)],[1130,1234]),
[iquote('28:MRR:1130.1,1234.0')] ).
cnf(1237,plain,
~ c4_2(a102,a103),
inference(mrr,[status(thm)],[1129,1234]),
[iquote('28:MRR:1129.1,1234.0')] ).
cnf(1236,plain,
~ c6_2(a102,a103),
inference(mrr,[status(thm)],[1128,1234]),
[iquote('28:MRR:1128.1,1234.0')] ).
cnf(1222,plain,
~ c6_2(a33,a34),
inference(mrr,[status(thm)],[245,1217]),
[iquote('23:MRR:245.0,1217.0')] ).
cnf(1221,plain,
~ c5_2(a33,a34),
inference(mrr,[status(thm)],[246,1217]),
[iquote('23:MRR:246.0,1217.0')] ).
cnf(1165,plain,
~ c3_2(a53,a54),
inference(mrr,[status(thm)],[1078,1158]),
[iquote('15:MRR:1078.0,1158.0')] ).
cnf(1163,plain,
~ c5_2(a29,a30),
inference(mrr,[status(thm)],[1054,1158]),
[iquote('15:MRR:1054.0,1158.0')] ).
cnf(1162,plain,
~ c4_2(a29,a30),
inference(mrr,[status(thm)],[1053,1158]),
[iquote('15:MRR:1053.0,1158.0')] ).
cnf(1122,plain,
~ c5_2(a136,a137),
inference(mrr,[status(thm)],[1098,1112]),
[iquote('7:MRR:1098.0,1112.0')] ).
cnf(1121,plain,
~ c10_2(a136,a137),
inference(mrr,[status(thm)],[1097,1112]),
[iquote('7:MRR:1097.0,1112.0')] ).
cnf(1278,plain,
~ c9_1(a59),
inference(spt,[],[1114]),
[iquote('43:Spt:1114.0')] ).
cnf(1089,plain,
~ c8_2(a134,a135),
inference(mrr,[status(thm)],[1052,1068]),
[iquote('3:MRR:1052.0,1068.0')] ).
cnf(1277,plain,
~ c7_1(a6),
inference(res,[status(thm),theory(equality)],[1108,1243]),
[iquote('31:Res:1108.1,1243.0')] ).
cnf(1276,plain,
~ c3_1(a136),
inference(res,[status(thm),theory(equality)],[1156,1119]),
[iquote('13:Res:1156.1,1119.0')] ).
cnf(1088,plain,
~ c6_2(a134,a135),
inference(mrr,[status(thm)],[1051,1068]),
[iquote('3:MRR:1051.0,1068.0')] ).
cnf(1243,plain,
~ c6_1(a6),
inference(mrr,[status(thm)],[145,1241]),
[iquote('31:MRR:145.0,1241.0')] ).
cnf(1242,plain,
~ c4_1(a6),
inference(mrr,[status(thm)],[146,1241]),
[iquote('31:MRR:146.0,1241.0')] ).
cnf(1220,plain,
c10_2(a33,a34),
inference(mrr,[status(thm)],[160,1217]),
[iquote('23:MRR:160.0,1217.0')] ).
cnf(1164,plain,
c9_2(a53,a54),
inference(mrr,[status(thm)],[1077,1158]),
[iquote('15:MRR:1077.0,1158.0')] ).
cnf(1161,plain,
~ c7_1(a29),
inference(mrr,[status(thm)],[1050,1158]),
[iquote('15:MRR:1050.0,1158.0')] ).
cnf(1160,plain,
c8_2(a29,a30),
inference(mrr,[status(thm)],[1049,1158]),
[iquote('15:MRR:1049.0,1158.0')] ).
cnf(1149,plain,
~ c2_1(a127),
inference(mrr,[status(thm)],[1073,1117]),
[iquote('7:MRR:1073.1,1117.0')] ).
cnf(1120,plain,
c2_2(a136,a137),
inference(mrr,[status(thm)],[1095,1112]),
[iquote('7:MRR:1095.0,1112.0')] ).
cnf(1119,plain,
~ c8_1(a136),
inference(mrr,[status(thm)],[1094,1112]),
[iquote('7:MRR:1094.0,1112.0')] ).
cnf(1087,plain,
c3_2(a134,a135),
inference(mrr,[status(thm)],[1048,1068]),
[iquote('3:MRR:1048.0,1068.0')] ).
cnf(1272,plain,
skC23,
inference(spt,[],[1070]),
[iquote('42:Spt:1070.0')] ).
cnf(1189,plain,
c10_1(u),
inference(mrr,[status(thm)],[1169,1180]),
[iquote('22:MRR:1169.0,1180.0')] ).
cnf(1255,plain,
c6_1(a18),
inference(mrr,[status(thm)],[1072,1253]),
[iquote('35:MRR:1072.0,1253.0')] ).
cnf(1254,plain,
c3_1(a18),
inference(mrr,[status(thm)],[1071,1253]),
[iquote('35:MRR:1071.0,1253.0')] ).
cnf(1235,plain,
c4_1(a102),
inference(mrr,[status(thm)],[1123,1234]),
[iquote('28:MRR:1123.0,1234.0')] ).
cnf(1219,plain,
c3_1(a33),
inference(mrr,[status(thm)],[84,1217]),
[iquote('23:MRR:84.0,1217.0')] ).
cnf(1218,plain,
c6_1(a33),
inference(mrr,[status(thm)],[86,1217]),
[iquote('23:MRR:86.0,1217.0')] ).
cnf(1209,plain,
c9_1(a122),
inference(mrr,[status(thm)],[1136,1202]),
[iquote('22:MRR:1136.0,1202.0')] ).
cnf(1208,plain,
c4_1(a122),
inference(mrr,[status(thm)],[1135,1202]),
[iquote('22:MRR:1135.0,1202.0')] ).
cnf(1204,plain,
~ skC10,
inference(mrr,[status(thm)],[164,1189]),
[iquote('22:MRR:164.1,1189.0')] ).
cnf(1203,plain,
~ skC12,
inference(mrr,[status(thm)],[169,1189]),
[iquote('22:MRR:169.1,1189.0')] ).
cnf(1202,plain,
~ skC25,
inference(mrr,[status(thm)],[182,1189]),
[iquote('22:MRR:182.1,1189.0')] ).
cnf(1194,plain,
~ c9_0,
inference(mrr,[status(thm)],[1127,1185]),
[iquote('22:MRR:1127.1,1185.0')] ).
cnf(1187,plain,
c6_1(a51),
inference(mrr,[status(thm)],[1126,1180]),
[iquote('22:MRR:1126.0,1180.0')] ).
cnf(1186,plain,
c2_1(a51),
inference(mrr,[status(thm)],[1125,1180]),
[iquote('22:MRR:1125.0,1180.0')] ).
cnf(1159,plain,
c9_1(a29),
inference(mrr,[status(thm)],[1047,1158]),
[iquote('15:MRR:1047.0,1158.0')] ).
cnf(1148,plain,
c4_1(a127),
inference(mrr,[status(thm)],[1069,1117]),
[iquote('7:MRR:1069.0,1117.0')] ).
cnf(1268,plain,
~ skC17,
inference(spt,[],[172]),
[iquote('41:Spt:172.0')] ).
cnf(1267,plain,
~ skC15,
inference(spt,[],[89]),
[iquote('40:Spt:89.0')] ).
cnf(1118,plain,
c7_1(a136),
inference(mrr,[status(thm)],[1093,1112]),
[iquote('7:MRR:1093.0,1112.0')] ).
cnf(1263,plain,
~ skC19,
inference(spt,[],[174]),
[iquote('39:Spt:174.0')] ).
cnf(1262,plain,
~ skC3,
inference(spt,[],[150]),
[iquote('38:Spt:150.0')] ).
cnf(1117,plain,
~ c3_0,
inference(mrr,[status(thm)],[1067,1112]),
[iquote('7:MRR:1067.1,1112.0')] ).
cnf(1258,plain,
~ skC18,
inference(spt,[],[173]),
[iquote('37:Spt:173.0')] ).
cnf(1257,plain,
~ skC2,
inference(spt,[],[148]),
[iquote('36:Spt:148.0')] ).
cnf(1253,plain,
~ skC4,
inference(spt,[],[152]),
[iquote('35:Spt:152.0')] ).
cnf(1116,plain,
~ c4_0,
inference(mrr,[status(thm)],[1044,1112]),
[iquote('7:MRR:1044.0,1112.0')] ).
cnf(1249,plain,
~ skC8,
inference(spt,[],[162]),
[iquote('34:Spt:162.0')] ).
cnf(1248,plain,
~ skC20,
inference(spt,[],[96]),
[iquote('33:Spt:96.0')] ).
cnf(1244,plain,
~ skC16,
inference(spt,[],[90]),
[iquote('32:Spt:90.0')] ).
cnf(1086,plain,
c4_1(a44),
inference(mrr,[status(thm)],[1046,1068]),
[iquote('3:MRR:1046.0,1068.0')] ).
cnf(1241,plain,
skC1,
inference(spt,[],[6]),
[iquote('31:Spt:6.0')] ).
cnf(1240,plain,
~ skC26,
inference(spt,[],[183]),
[iquote('30:Spt:183.0')] ).
cnf(1239,plain,
~ skC6,
inference(spt,[],[157]),
[iquote('29:Spt:157.0')] ).
cnf(1085,plain,
c3_1(a44),
inference(mrr,[status(thm)],[1045,1068]),
[iquote('3:MRR:1045.0,1068.0')] ).
cnf(1234,plain,
~ skC21,
inference(spt,[],[97]),
[iquote('28:Spt:97.0')] ).
cnf(1233,plain,
~ skC11,
inference(spt,[],[167]),
[iquote('27:Spt:167.0')] ).
cnf(1232,plain,
~ skC0,
inference(spt,[],[75]),
[iquote('26:Spt:75.0')] ).
cnf(1224,plain,
~ skC5,
inference(spt,[],[82]),
[iquote('25:Spt:82.0')] ).
cnf(1223,plain,
~ skC22,
inference(spt,[],[100]),
[iquote('24:Spt:100.0')] ).
cnf(1185,plain,
c7_0,
inference(mrr,[status(thm)],[1113,1180]),
[iquote('22:MRR:1113.0,1180.0')] ).
cnf(1217,plain,
skC7,
inference(spt,[],[113]),
[iquote('23:Spt:113.1')] ).
cnf(1180,plain,
c6_0,
inference(spt,[],[136]),
[iquote('22:Spt:136.1')] ).
cnf(1179,plain,
( ~ c3_1(u)
| ~ c8_2(u,a132) ),
inference(spt,[],[533]),
[iquote('21:Spt:533.0,533.2')] ).
cnf(1178,plain,
( ~ c3_1(u)
| ~ c4_2(u,a132) ),
inference(spt,[],[534]),
[iquote('20:Spt:534.0,534.2')] ).
cnf(1177,plain,
( ~ c3_1(u)
| c5_2(u,a132) ),
inference(spt,[],[519]),
[iquote('19:Spt:519.0,519.2')] ).
cnf(1176,plain,
( ~ c2_1(u)
| ~ c4_1(u)
| ~ c2_2(u,a118) ),
inference(spt,[],[574]),
[iquote('18:Spt:574.0,574.1,574.3')] ).
cnf(1175,plain,
( ~ c2_1(u)
| ~ c4_1(u)
| ~ c9_2(u,a118) ),
inference(spt,[],[573]),
[iquote('17:Spt:573.0,573.1,573.3')] ).
cnf(1174,plain,
( ~ c2_1(u)
| ~ c4_1(u)
| c5_2(u,a118) ),
inference(spt,[],[566]),
[iquote('16:Spt:566.0,566.1,566.3')] ).
cnf(505,plain,
ndr1_0,
inference(mrr,[status(thm)],[21,1]),
[iquote('0:MRR:21.0,1.1')] ).
cnf(1158,plain,
c5_0,
inference(spt,[],[225]),
[iquote('15:Spt:225.2')] ).
cnf(1157,plain,
( ~ c1_1(u)
| ~ c5_2(u,a145)
| c9_1(u) ),
inference(spt,[],[563]),
[iquote('14:Spt:563.0,563.2,563.3')] ).
cnf(1156,plain,
( ~ c3_1(u)
| c8_1(u) ),
inference(spt,[],[595]),
[iquote('13:Spt:595.1,595.4')] ).
cnf(1155,plain,
( ~ c4_1(u)
| ~ c1_2(u,a138)
| c5_1(u) ),
inference(spt,[],[564]),
[iquote('12:Spt:564.0,564.2,564.3')] ).
cnf(1154,plain,
( ~ c4_1(u)
| ~ c6_2(u,a138)
| c5_1(u) ),
inference(spt,[],[565]),
[iquote('11:Spt:565.0,565.2,565.3')] ).
cnf(1151,plain,
( ~ c8_1(u)
| c1_1(u) ),
inference(spt,[],[587]),
[iquote('8:Spt:587.0,587.4')] ).
cnf(1112,plain,
c2_0,
inference(spt,[],[8]),
[iquote('7:Spt:8.0')] ).
cnf(1108,plain,
( ~ c7_1(u)
| c6_1(u) ),
inference(spt,[],[542]),
[iquote('6:Spt:542.0,542.3')] ).
cnf(1092,plain,
c8_0,
inference(spt,[],[9]),
[iquote('4:Spt:9.2')] ).
cnf(1068,plain,
c1_0,
inference(spt,[],[121]),
[iquote('3:Spt:121.1')] ).
cnf(1042,plain,
c10_0,
inference(spt,[],[234]),
[iquote('2:Spt:234.2')] ).
cnf(950,plain,
ndr1_1(u),
inference(spt,[],[618]),
[iquote('1:Spt:618.5')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN418+1 : TPTP v8.1.0. Released v2.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n012.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 : Mon Jul 11 17:33:28 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.84/1.05
% 0.84/1.05 SPASS V 3.9
% 0.84/1.05 SPASS beiseite: Completion found.
% 0.84/1.05 % SZS status CounterSatisfiable
% 0.84/1.05 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.84/1.05 SPASS derived 1002 clauses, backtracked 3 clauses, performed 86 splits and kept 1200 clauses.
% 0.84/1.05 SPASS allocated 99602 KBytes.
% 0.84/1.05 SPASS spent 0:00:00.70 on the problem.
% 0.84/1.05 0:00:00.04 for the input.
% 0.84/1.05 0:00:00.29 for the FLOTTER CNF translation.
% 0.84/1.05 0:00:00.01 for inferences.
% 0.84/1.05 0:00:00.00 for the backtracking.
% 0.84/1.05 0:00:00.24 for the reduction.
% 0.84/1.05
% 0.84/1.05
% 0.84/1.05 The saturated set of worked-off clauses is :
% 0.84/1.05 % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------