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 : n020.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 : Satisfiable 0.62s 0.83s
% Output : Saturation 0.62s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 2696)
% Comments :
%------------------------------------------------------------------------------
cnf(2702,plain,
( ~ c5_1(u)
| ~ c8_2(u,v)
| ~ c9_2(u,v)
| ~ c10_2(u,a42)
| ssskP3(u)
| c4_1(u)
| ssskP6(u)
| c8_1(u)
| c2_2(u,a76)
| c9_2(u,a76)
| c6_2(u,a62)
| c7_2(u,a62)
| c3_2(u,a84)
| c2_2(u,a84) ),
inference(obv,[status(thm),theory(equality)],[2696]),
[iquote('89:Obv:2696.6')] ).
cnf(2701,plain,
( ~ c5_1(u)
| ~ c8_2(u,v)
| ~ c9_2(u,v)
| ssskP3(u)
| c4_1(u)
| ssskP6(u)
| c8_1(u)
| c2_2(u,a76)
| c9_2(u,a76)
| c6_2(u,a62)
| c7_2(u,a62)
| c3_2(u,a84)
| c2_2(u,a84)
| c5_2(u,a42) ),
inference(obv,[status(thm),theory(equality)],[2697]),
[iquote('89:Obv:2697.5')] ).
cnf(2700,plain,
( ~ c5_1(u)
| ~ c8_2(u,v)
| ~ c9_2(u,v)
| ssskP3(u)
| c4_1(u)
| ssskP6(u)
| c8_1(u)
| c2_2(u,a76)
| c9_2(u,a76)
| c6_2(u,a62)
| c7_2(u,a62)
| c3_2(u,a84)
| c2_2(u,a84)
| c4_2(u,a42) ),
inference(obv,[status(thm),theory(equality)],[2698]),
[iquote('89:Obv:2698.5')] ).
cnf(2695,plain,
( ~ c5_1(u)
| ~ c8_2(u,v)
| ~ c9_2(u,v)
| ~ c10_2(u,a42)
| c4_1(u)
| ssskP6(u)
| c8_1(u)
| c2_2(u,a76)
| c9_2(u,a76)
| c6_2(u,a84)
| c3_2(u,a84)
| c2_2(u,a84) ),
inference(obv,[status(thm),theory(equality)],[2689]),
[iquote('89:Obv:2689.5')] ).
cnf(2694,plain,
( ~ c5_1(u)
| ~ c8_2(u,v)
| ~ c9_2(u,v)
| c4_1(u)
| ssskP6(u)
| c8_1(u)
| c2_2(u,a76)
| c9_2(u,a76)
| c6_2(u,a84)
| c3_2(u,a84)
| c2_2(u,a84)
| c5_2(u,a42) ),
inference(obv,[status(thm),theory(equality)],[2690]),
[iquote('89:Obv:2690.4')] ).
cnf(2693,plain,
( ~ c5_1(u)
| ~ c8_2(u,v)
| ~ c9_2(u,v)
| c4_1(u)
| ssskP6(u)
| c8_1(u)
| c2_2(u,a76)
| c9_2(u,a76)
| c6_2(u,a84)
| c3_2(u,a84)
| c2_2(u,a84)
| c4_2(u,a42) ),
inference(obv,[status(thm),theory(equality)],[2691]),
[iquote('89:Obv:2691.4')] ).
cnf(2670,plain,
( ~ c8_1(u)
| ~ c5_1(u)
| ~ c9_2(u,a67)
| ~ c10_2(u,a42)
| c10_2(u,a67)
| c5_2(u,a111)
| c4_1(u)
| ssskP6(u)
| c7_2(u,a76)
| c3_2(u,a84)
| c2_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[1416,2028]),
[iquote('89:Res:1416.1,2028.1')] ).
cnf(2671,plain,
( ~ c8_1(u)
| ~ c5_1(u)
| ~ c9_2(u,a67)
| ~ c10_2(u,a42)
| c10_2(u,a67)
| c4_2(u,a111)
| c4_1(u)
| ssskP6(u)
| c7_2(u,a76)
| c3_2(u,a84)
| c2_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[1408,2028]),
[iquote('89:Res:1408.1,2028.1')] ).
cnf(2661,plain,
( ~ c8_1(u)
| ~ c5_1(u)
| ~ c9_2(u,a67)
| ~ c10_2(u,a42)
| c10_2(u,a67)
| c5_2(u,a111)
| c4_1(u)
| ssskP6(u)
| c6_2(u,a76)
| c3_2(u,a84)
| c2_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[1416,2021]),
[iquote('89:Res:1416.1,2021.1')] ).
cnf(2662,plain,
( ~ c8_1(u)
| ~ c5_1(u)
| ~ c9_2(u,a67)
| ~ c10_2(u,a42)
| c10_2(u,a67)
| c4_2(u,a111)
| c4_1(u)
| ssskP6(u)
| c6_2(u,a76)
| c3_2(u,a84)
| c2_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[1408,2021]),
[iquote('89:Res:1408.1,2021.1')] ).
cnf(2626,plain,
( ~ c8_1(u)
| ~ c5_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c5_2(u,a111)
| c4_1(u)
| ssskP6(u)
| c7_2(u,a76)
| c3_2(u,a84)
| c2_2(u,a84)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1416,2027]),
[iquote('89:Res:1416.1,2027.1')] ).
cnf(2627,plain,
( ~ c8_1(u)
| ~ c5_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c4_2(u,a111)
| c4_1(u)
| ssskP6(u)
| c7_2(u,a76)
| c3_2(u,a84)
| c2_2(u,a84)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1408,2027]),
[iquote('89:Res:1408.1,2027.1')] ).
cnf(2617,plain,
( ~ c8_1(u)
| ~ c5_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c5_2(u,a111)
| c4_1(u)
| ssskP6(u)
| c7_2(u,a76)
| c3_2(u,a84)
| c2_2(u,a84)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1416,2026]),
[iquote('89:Res:1416.1,2026.1')] ).
cnf(2618,plain,
( ~ c8_1(u)
| ~ c5_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c4_2(u,a111)
| c4_1(u)
| ssskP6(u)
| c7_2(u,a76)
| c3_2(u,a84)
| c2_2(u,a84)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1408,2026]),
[iquote('89:Res:1408.1,2026.1')] ).
cnf(2593,plain,
( ~ c8_1(u)
| ~ c5_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c5_2(u,a111)
| c4_1(u)
| ssskP6(u)
| c6_2(u,a76)
| c3_2(u,a84)
| c2_2(u,a84)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1416,2020]),
[iquote('89:Res:1416.1,2020.1')] ).
cnf(2594,plain,
( ~ c8_1(u)
| ~ c5_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c4_2(u,a111)
| c4_1(u)
| ssskP6(u)
| c6_2(u,a76)
| c3_2(u,a84)
| c2_2(u,a84)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1408,2020]),
[iquote('89:Res:1408.1,2020.1')] ).
cnf(2581,plain,
( ~ c8_1(u)
| ~ c5_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c5_2(u,a111)
| c4_1(u)
| ssskP6(u)
| c6_2(u,a76)
| c3_2(u,a84)
| c2_2(u,a84)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1416,2019]),
[iquote('89:Res:1416.1,2019.1')] ).
cnf(2582,plain,
( ~ c8_1(u)
| ~ c5_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c4_2(u,a111)
| c4_1(u)
| ssskP6(u)
| c6_2(u,a76)
| c3_2(u,a84)
| c2_2(u,a84)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1408,2019]),
[iquote('89:Res:1408.1,2019.1')] ).
cnf(2683,plain,
( ~ c5_1(u)
| ssskP3(u)
| c4_1(u)
| c2_2(u,a84)
| ssskP6(u)
| c7_2(u,a84)
| c8_1(u)
| c2_2(u,a76)
| c9_2(u,a76)
| c6_2(u,a62)
| c7_2(u,a62) ),
inference(res,[status(thm),theory(equality)],[132,1995]),
[iquote('89:Res:132.1,1995.1')] ).
cnf(2688,plain,
( ~ c5_1(u)
| c4_1(u)
| c2_2(u,a84)
| ssskP6(u)
| c8_1(u)
| c2_2(u,a76)
| c9_2(u,a76)
| c6_2(u,a84)
| c7_2(u,a84) ),
inference(obv,[status(thm),theory(equality)],[2684]),
[iquote('89:Obv:2684.5')] ).
cnf(1995,plain,
( ~ c5_1(u)
| ~ c5_2(u,v)
| c4_1(u)
| c2_2(u,a84)
| ssskP6(u)
| c7_2(u,a84)
| c8_1(u)
| c2_2(u,a76)
| c9_2(u,a76)
| c6_2(u,v)
| c7_2(u,v) ),
inference(res,[status(thm),theory(equality)],[1989,1878]),
[iquote('89:Res:1989.5,1878.0')] ).
cnf(2212,plain,
( ~ c5_1(u)
| ~ c6_1(u)
| ~ c9_2(u,a76)
| ~ c10_2(u,a42)
| c4_1(u)
| c2_2(u,a84)
| ssskP6(u)
| c7_2(u,a84)
| c3_2(u,a133)
| c2_2(u,a133) ),
inference(res,[status(thm),theory(equality)],[1989,1625]),
[iquote('89:Res:1989.5,1625.1')] ).
cnf(2141,plain,
( ~ c5_1(u)
| ~ c6_1(u)
| ~ c9_2(u,a76)
| c4_1(u)
| c2_2(u,a84)
| ssskP6(u)
| c7_2(u,a84)
| c3_2(u,a133)
| c2_2(u,a133)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1989,1610]),
[iquote('89:Res:1989.5,1610.1')] ).
cnf(2126,plain,
( ~ c5_1(u)
| ~ c6_1(u)
| ~ c9_2(u,a76)
| c4_1(u)
| c2_2(u,a84)
| ssskP6(u)
| c7_2(u,a84)
| c3_2(u,a133)
| c2_2(u,a133)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1989,1590]),
[iquote('89:Res:1989.5,1590.1')] ).
cnf(2010,plain,
( ~ c5_1(u)
| ~ c9_2(u,a76)
| ~ c10_2(u,a42)
| c4_1(u)
| c2_2(u,a84)
| ssskP6(u)
| c7_2(u,a84)
| ssskP2(u)
| c3_2(u,a60)
| c2_2(u,a60) ),
inference(res,[status(thm),theory(equality)],[1989,1622]),
[iquote('89:Res:1989.5,1622.0')] ).
cnf(1994,plain,
( ~ c5_1(u)
| ~ c9_2(u,a76)
| ~ c10_2(u,a42)
| c4_1(u)
| c2_2(u,a84)
| ssskP6(u)
| c7_2(u,a84)
| ssskP1(u)
| c3_2(u,a57)
| c2_2(u,a57) ),
inference(res,[status(thm),theory(equality)],[1989,1624]),
[iquote('89:Res:1989.5,1624.0')] ).
cnf(2028,plain,
( ~ c5_1(u)
| ~ c8_2(u,v)
| ~ c9_2(u,v)
| ~ c10_2(u,a42)
| c4_1(u)
| ssskP6(u)
| c7_2(u,a76)
| c3_2(u,a84)
| c2_2(u,a84) ),
inference(obv,[status(thm),theory(equality)],[2022]),
[iquote('89:Obv:2022.5')] ).
cnf(2021,plain,
( ~ c5_1(u)
| ~ c8_2(u,v)
| ~ c9_2(u,v)
| ~ c10_2(u,a42)
| c4_1(u)
| ssskP6(u)
| c6_2(u,a76)
| c3_2(u,a84)
| c2_2(u,a84) ),
inference(obv,[status(thm),theory(equality)],[2015]),
[iquote('89:Obv:2015.5')] ).
cnf(2656,plain,
( ~ c2_1(u)
| ~ c4_1(u)
| c5_1(u)
| c10_2(u,a138)
| c5_2(u,a111)
| c8_1(u)
| c2_2(u,a138)
| c9_2(u,a138)
| c6_2(u,a118)
| c7_2(u,a118) ),
inference(obv,[status(thm),theory(equality)],[2647]),
[iquote('86:Obv:2647.1')] ).
cnf(2644,plain,
( ~ c2_1(u)
| ~ c4_1(u)
| c5_1(u)
| c10_2(u,a138)
| c4_2(u,a111)
| c8_1(u)
| c2_2(u,a138)
| c9_2(u,a138)
| c6_2(u,a118)
| c7_2(u,a118) ),
inference(obv,[status(thm),theory(equality)],[2635]),
[iquote('86:Obv:2635.1')] ).
cnf(1996,plain,
( ~ c5_1(u)
| ~ c9_2(u,a76)
| c4_1(u)
| c2_2(u,a84)
| ssskP6(u)
| c7_2(u,a84)
| ssskP1(u)
| c3_2(u,a57)
| c2_2(u,a57)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1989,1609]),
[iquote('89:Res:1989.5,1609.0')] ).
cnf(2651,plain,
( ~ c4_1(u)
| ssskP3(u)
| c5_1(u)
| c10_2(u,a138)
| c5_2(u,a111)
| c8_1(u)
| c2_2(u,a138)
| c9_2(u,a138)
| c6_2(u,a62)
| c7_2(u,a62) ),
inference(res,[status(thm),theory(equality)],[132,1881]),
[iquote('86:Res:132.1,1881.1')] ).
cnf(2652,plain,
( ~ c4_1(u)
| ssskP6(u)
| c5_1(u)
| c10_2(u,a138)
| c5_2(u,a111)
| c8_1(u)
| c2_2(u,a138)
| c9_2(u,a138)
| c6_2(u,a84)
| c7_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[126,1881]),
[iquote('86:Res:126.1,1881.1')] ).
cnf(1881,plain,
( ~ c4_1(u)
| ~ c5_2(u,v)
| c5_1(u)
| c10_2(u,a138)
| c5_2(u,a111)
| c8_1(u)
| c2_2(u,a138)
| c9_2(u,a138)
| c6_2(u,v)
| c7_2(u,v) ),
inference(res,[status(thm),theory(equality)],[1415,1878]),
[iquote('86:Res:1415.2,1878.0')] ).
cnf(1997,plain,
( ~ c5_1(u)
| ~ c9_2(u,a76)
| c4_1(u)
| c2_2(u,a84)
| ssskP6(u)
| c7_2(u,a84)
| ssskP2(u)
| c3_2(u,a60)
| c2_2(u,a60)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1989,1607]),
[iquote('89:Res:1989.5,1607.0')] ).
cnf(1998,plain,
( ~ c5_1(u)
| ~ c9_2(u,a76)
| c4_1(u)
| c2_2(u,a84)
| ssskP6(u)
| c7_2(u,a84)
| ssskP1(u)
| c3_2(u,a57)
| c2_2(u,a57)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1989,1589]),
[iquote('89:Res:1989.5,1589.0')] ).
cnf(2639,plain,
( ~ c4_1(u)
| ssskP3(u)
| c5_1(u)
| c10_2(u,a138)
| c4_2(u,a111)
| c8_1(u)
| c2_2(u,a138)
| c9_2(u,a138)
| c6_2(u,a62)
| c7_2(u,a62) ),
inference(res,[status(thm),theory(equality)],[132,1882]),
[iquote('86:Res:132.1,1882.1')] ).
cnf(2640,plain,
( ~ c4_1(u)
| ssskP6(u)
| c5_1(u)
| c10_2(u,a138)
| c4_2(u,a111)
| c8_1(u)
| c2_2(u,a138)
| c9_2(u,a138)
| c6_2(u,a84)
| c7_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[126,1882]),
[iquote('86:Res:126.1,1882.1')] ).
cnf(1882,plain,
( ~ c4_1(u)
| ~ c5_2(u,v)
| c5_1(u)
| c10_2(u,a138)
| c4_2(u,a111)
| c8_1(u)
| c2_2(u,a138)
| c9_2(u,a138)
| c6_2(u,v)
| c7_2(u,v) ),
inference(res,[status(thm),theory(equality)],[1407,1878]),
[iquote('86:Res:1407.2,1878.0')] ).
cnf(1999,plain,
( ~ c5_1(u)
| ~ c9_2(u,a76)
| c4_1(u)
| c2_2(u,a84)
| ssskP6(u)
| c7_2(u,a84)
| ssskP2(u)
| c3_2(u,a60)
| c2_2(u,a60)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1989,1587]),
[iquote('89:Res:1989.5,1587.0')] ).
cnf(2568,plain,
( ~ c4_1(u)
| ~ c1_1(u)
| ~ c3_2(u,a138)
| ~ c9_2(u,a138)
| ~ c8_2(u,a43)
| c5_1(u)
| c9_1(u)
| c2_2(u,a145)
| c4_2(u,a145) ),
inference(res,[status(thm),theory(equality)],[1170,1751]),
[iquote('22:Res:1170.2,1751.1')] ).
cnf(2210,plain,
( ~ c4_1(u)
| ~ c6_1(u)
| ~ c9_2(u,a138)
| ~ c10_2(u,a42)
| c5_1(u)
| c10_2(u,a138)
| c5_2(u,a111)
| c3_2(u,a133)
| c2_2(u,a133) ),
inference(res,[status(thm),theory(equality)],[1415,1625]),
[iquote('53:Res:1415.2,1625.1')] ).
cnf(2211,plain,
( ~ c4_1(u)
| ~ c6_1(u)
| ~ c9_2(u,a138)
| ~ c10_2(u,a42)
| c5_1(u)
| c10_2(u,a138)
| c4_2(u,a111)
| c3_2(u,a133)
| c2_2(u,a133) ),
inference(res,[status(thm),theory(equality)],[1407,1625]),
[iquote('53:Res:1407.2,1625.1')] ).
cnf(1812,plain,
( ~ c1_1(u)
| ~ ssskC9
| ~ c6_2(u,a145)
| ~ c8_2(u,a145)
| ~ c2_2(u,v)
| ~ c9_2(u,v)
| c9_1(u)
| c7_2(u,v)
| c9_2(u,a40) ),
inference(res,[status(thm),theory(equality)],[1174,1274]),
[iquote('44:Res:1174.2,1274.1')] ).
cnf(2027,plain,
( ~ c5_1(u)
| ~ c8_2(u,v)
| ~ c9_2(u,v)
| c4_1(u)
| ssskP6(u)
| c7_2(u,a76)
| c3_2(u,a84)
| c2_2(u,a84)
| c5_2(u,a42) ),
inference(obv,[status(thm),theory(equality)],[2023]),
[iquote('89:Obv:2023.4')] ).
cnf(2026,plain,
( ~ c5_1(u)
| ~ c8_2(u,v)
| ~ c9_2(u,v)
| c4_1(u)
| ssskP6(u)
| c7_2(u,a76)
| c3_2(u,a84)
| c2_2(u,a84)
| c4_2(u,a42) ),
inference(obv,[status(thm),theory(equality)],[2024]),
[iquote('89:Obv:2024.4')] ).
cnf(2615,plain,
( ~ c9_2(a29,a30)
| c7_2(a29,a30) ),
inference(res,[status(thm),theory(equality)],[2613,2538]),
[iquote('139:Res:2613.0,2538.0')] ).
cnf(2616,plain,
( c5_1(a29)
| c10_2(a29,a30) ),
inference(mrr,[status(thm)],[2614,1178,1180]),
[iquote('139:MRR:2614.1,2614.3,1178.0,1180.0')] ).
cnf(1813,plain,
( ~ ssskP1(u)
| ~ ssskC9
| ~ c6_2(u,a58)
| ~ c8_2(u,a58)
| ~ c2_2(u,v)
| ~ c9_2(u,v)
| c9_1(u)
| c7_2(u,v)
| c9_2(u,a40) ),
inference(res,[status(thm),theory(equality)],[1200,1274]),
[iquote('44:Res:1200.2,1274.1')] ).
cnf(2613,plain,
c2_2(a29,a30),
inference(spt,[],[2610]),
[iquote('139:Spt:2610.3')] ).
cnf(2605,plain,
c4_1(a29),
inference(spt,[],[2604]),
[iquote('138:Spt:2604.1')] ).
cnf(1848,plain,
( ~ c1_1(u)
| ~ c6_2(u,a145)
| ~ c8_2(u,a145)
| ~ c2_2(u,v)
| ~ c9_2(u,v)
| ~ c3_2(u,a40)
| c9_1(u)
| c7_2(u,v) ),
inference(res,[status(thm),theory(equality)],[1174,1847]),
[iquote('82:Res:1174.2,1847.0')] ).
cnf(2020,plain,
( ~ c5_1(u)
| ~ c8_2(u,v)
| ~ c9_2(u,v)
| c4_1(u)
| ssskP6(u)
| c6_2(u,a76)
| c3_2(u,a84)
| c2_2(u,a84)
| c5_2(u,a42) ),
inference(obv,[status(thm),theory(equality)],[2016]),
[iquote('89:Obv:2016.4')] ).
cnf(2019,plain,
( ~ c5_1(u)
| ~ c8_2(u,v)
| ~ c9_2(u,v)
| c4_1(u)
| ssskP6(u)
| c6_2(u,a76)
| c3_2(u,a84)
| c2_2(u,a84)
| c4_2(u,a42) ),
inference(obv,[status(thm),theory(equality)],[2017]),
[iquote('89:Obv:2017.4')] ).
cnf(1849,plain,
( ~ ssskP1(u)
| ~ c6_2(u,a58)
| ~ c8_2(u,a58)
| ~ c2_2(u,v)
| ~ c9_2(u,v)
| ~ c3_2(u,a40)
| c9_1(u)
| c7_2(u,v) ),
inference(res,[status(thm),theory(equality)],[1200,1847]),
[iquote('82:Res:1200.2,1847.0')] ).
cnf(2556,plain,
( ~ c4_1(u)
| ~ c1_1(u)
| ~ c3_2(u,a138)
| ~ c9_2(u,a138)
| c5_1(u)
| c9_1(u)
| c2_2(u,a145)
| c4_2(u,a145)
| c1_2(u,a43) ),
inference(res,[status(thm),theory(equality)],[1170,1693]),
[iquote('22:Res:1170.2,1693.1')] ).
cnf(2547,plain,
( ~ c4_1(u)
| ~ c1_1(u)
| ~ c3_2(u,a138)
| ~ c9_2(u,a138)
| c5_1(u)
| c9_1(u)
| c2_2(u,a145)
| c4_2(u,a145)
| c10_2(u,a43) ),
inference(res,[status(thm),theory(equality)],[1170,1683]),
[iquote('22:Res:1170.2,1683.1')] ).
cnf(2139,plain,
( ~ c4_1(u)
| ~ c6_1(u)
| ~ c9_2(u,a138)
| c5_1(u)
| c10_2(u,a138)
| c5_2(u,a111)
| c3_2(u,a133)
| c2_2(u,a133)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1415,1610]),
[iquote('53:Res:1415.2,1610.1')] ).
cnf(2140,plain,
( ~ c4_1(u)
| ~ c6_1(u)
| ~ c9_2(u,a138)
| c5_1(u)
| c10_2(u,a138)
| c4_2(u,a111)
| c3_2(u,a133)
| c2_2(u,a133)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1407,1610]),
[iquote('53:Res:1407.2,1610.1')] ).
cnf(1852,plain,
( ~ ssskP5(u)
| ~ c6_2(u,a80)
| ~ c8_2(u,a80)
| ~ c2_2(u,v)
| ~ c9_2(u,v)
| ~ c3_2(u,a40)
| c7_1(u)
| c7_2(u,v) ),
inference(res,[status(thm),theory(equality)],[1212,1847]),
[iquote('82:Res:1212.2,1847.0')] ).
cnf(2124,plain,
( ~ c4_1(u)
| ~ c6_1(u)
| ~ c9_2(u,a138)
| c5_1(u)
| c10_2(u,a138)
| c5_2(u,a111)
| c3_2(u,a133)
| c2_2(u,a133)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1415,1590]),
[iquote('53:Res:1415.2,1590.1')] ).
cnf(2125,plain,
( ~ c4_1(u)
| ~ c6_1(u)
| ~ c9_2(u,a138)
| c5_1(u)
| c10_2(u,a138)
| c4_2(u,a111)
| c3_2(u,a133)
| c2_2(u,a133)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1407,1590]),
[iquote('53:Res:1407.2,1590.1')] ).
cnf(2008,plain,
( ~ c4_1(u)
| ~ c9_2(u,a138)
| ~ c10_2(u,a42)
| c5_1(u)
| c10_2(u,a138)
| c5_2(u,a111)
| ssskP2(u)
| c3_2(u,a60)
| c2_2(u,a60) ),
inference(res,[status(thm),theory(equality)],[1415,1622]),
[iquote('53:Res:1415.2,1622.0')] ).
cnf(2009,plain,
( ~ c4_1(u)
| ~ c9_2(u,a138)
| ~ c10_2(u,a42)
| c5_1(u)
| c10_2(u,a138)
| c4_2(u,a111)
| ssskP2(u)
| c3_2(u,a60)
| c2_2(u,a60) ),
inference(res,[status(thm),theory(equality)],[1407,1622]),
[iquote('53:Res:1407.2,1622.0')] ).
cnf(1836,plain,
( ~ c1_1(u)
| ~ c6_2(u,a145)
| ~ c8_2(u,a145)
| ~ c2_2(u,v)
| ~ c9_2(u,v)
| ~ c4_2(u,a40)
| c9_1(u)
| c7_2(u,v) ),
inference(res,[status(thm),theory(equality)],[1174,1835]),
[iquote('81:Res:1174.2,1835.0')] ).
cnf(1978,plain,
( ~ c4_1(u)
| ~ c9_2(u,a138)
| ~ c10_2(u,a42)
| c5_1(u)
| c10_2(u,a138)
| c5_2(u,a111)
| ssskP1(u)
| c3_2(u,a57)
| c2_2(u,a57) ),
inference(res,[status(thm),theory(equality)],[1415,1624]),
[iquote('53:Res:1415.2,1624.0')] ).
cnf(1979,plain,
( ~ c4_1(u)
| ~ c9_2(u,a138)
| ~ c10_2(u,a42)
| c5_1(u)
| c10_2(u,a138)
| c4_2(u,a111)
| ssskP1(u)
| c3_2(u,a57)
| c2_2(u,a57) ),
inference(res,[status(thm),theory(equality)],[1407,1624]),
[iquote('53:Res:1407.2,1624.0')] ).
cnf(2000,plain,
( ~ c5_1(u)
| ~ c9_2(u,a76)
| ~ c10_2(u,a42)
| c4_1(u)
| c2_2(u,a84)
| ssskP6(u)
| c7_2(u,a84)
| ssskP0(u)
| c2_2(u,a49) ),
inference(res,[status(thm),theory(equality)],[1989,1632]),
[iquote('89:Res:1989.5,1632.0')] ).
cnf(1761,plain,
( ~ c4_1(u)
| ~ c9_2(u,a138)
| c5_1(u)
| c10_2(u,a138)
| c5_2(u,a111)
| ssskP1(u)
| c3_2(u,a57)
| c2_2(u,a57)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1415,1609]),
[iquote('53:Res:1415.2,1609.0')] ).
cnf(1837,plain,
( ~ ssskP1(u)
| ~ c6_2(u,a58)
| ~ c8_2(u,a58)
| ~ c2_2(u,v)
| ~ c9_2(u,v)
| ~ c4_2(u,a40)
| c9_1(u)
| c7_2(u,v) ),
inference(res,[status(thm),theory(equality)],[1200,1835]),
[iquote('81:Res:1200.2,1835.0')] ).
cnf(1762,plain,
( ~ c4_1(u)
| ~ c9_2(u,a138)
| c5_1(u)
| c10_2(u,a138)
| c4_2(u,a111)
| ssskP1(u)
| c3_2(u,a57)
| c2_2(u,a57)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1407,1609]),
[iquote('53:Res:1407.2,1609.0')] ).
cnf(1747,plain,
( ~ c4_1(u)
| ~ c9_2(u,a138)
| c5_1(u)
| c10_2(u,a138)
| c5_2(u,a111)
| ssskP2(u)
| c3_2(u,a60)
| c2_2(u,a60)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1415,1607]),
[iquote('53:Res:1415.2,1607.0')] ).
cnf(1748,plain,
( ~ c4_1(u)
| ~ c9_2(u,a138)
| c5_1(u)
| c10_2(u,a138)
| c4_2(u,a111)
| ssskP2(u)
| c3_2(u,a60)
| c2_2(u,a60)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1407,1607]),
[iquote('53:Res:1407.2,1607.0')] ).
cnf(2580,plain,
( ~ c9_2(a44,a67)
| ~ c8_2(a44,a43)
| c9_1(a44)
| c2_2(a44,a145)
| c4_2(a44,a145) ),
inference(ssi,[status(thm)],[2578,1167,1091,1092,1414,1425,1426,2457]),
[iquote('123:SSi:2578.0,1167.0,1091.0,1092.0,1414.0,1425.0,1426.0,2457.1')] ).
cnf(1840,plain,
( ~ ssskP5(u)
| ~ c6_2(u,a80)
| ~ c8_2(u,a80)
| ~ c2_2(u,v)
| ~ c9_2(u,v)
| ~ c4_2(u,a40)
| c7_1(u)
| c7_2(u,v) ),
inference(res,[status(thm),theory(equality)],[1212,1835]),
[iquote('81:Res:1212.2,1835.0')] ).
cnf(2575,plain,
( ~ c8_1(u)
| ~ c3_2(u,a67)
| ~ c9_2(u,a67)
| ~ c8_2(u,a43)
| c9_1(u)
| c2_2(u,a145)
| c4_2(u,a145) ),
inference(ssi,[status(thm)],[2569,1163]),
[iquote('33:SSi:2569.1,1163.1')] ).
cnf(2577,plain,
( ~ c3_1(a134)
| ~ c9_2(a134,a135)
| ~ c8_2(a134,a43)
| c9_1(a134)
| c2_2(a134,a145)
| c4_2(a134,a145) ),
inference(sor,[status(thm)],[2576,1167]),
[iquote('101:SoR:2576.0,1167.1')] ).
cnf(2576,plain,
( ~ c8_1(a134)
| ~ c9_2(a134,a135)
| ~ c8_2(a134,a43)
| c9_1(a134)
| c2_2(a134,a145)
| c4_2(a134,a145) ),
inference(sor,[status(thm)],[2574,1163]),
[iquote('101:SoR:2574.0,1163.1')] ).
cnf(2574,plain,
( ~ c1_1(a134)
| ~ c9_2(a134,a135)
| ~ c8_2(a134,a43)
| c9_1(a134)
| c2_2(a134,a145)
| c4_2(a134,a145) ),
inference(mrr,[status(thm)],[2573,1094]),
[iquote('101:MRR:2573.1,1094.0')] ).
cnf(1751,plain,
( ~ c1_1(u)
| ~ c4_2(u,v)
| ~ c3_2(u,v)
| ~ c9_2(u,v)
| ~ c8_2(u,a43)
| c9_1(u)
| c2_2(u,a145)
| c4_2(u,a145) ),
inference(res,[status(thm),theory(equality)],[1174,1190]),
[iquote('22:Res:1174.2,1190.0')] ).
cnf(2563,plain,
( ~ c8_1(u)
| ~ c3_2(u,a67)
| ~ c9_2(u,a67)
| c9_1(u)
| c2_2(u,a145)
| c4_2(u,a145)
| c1_2(u,a43) ),
inference(ssi,[status(thm)],[2557,1163]),
[iquote('33:SSi:2557.1,1163.1')] ).
cnf(2565,plain,
( ~ c3_1(a134)
| ~ c9_2(a134,a135)
| c9_1(a134)
| c2_2(a134,a145)
| c4_2(a134,a145)
| c1_2(a134,a43) ),
inference(sor,[status(thm)],[2564,1167]),
[iquote('101:SoR:2564.0,1167.1')] ).
cnf(2564,plain,
( ~ c8_1(a134)
| ~ c9_2(a134,a135)
| c9_1(a134)
| c2_2(a134,a145)
| c4_2(a134,a145)
| c1_2(a134,a43) ),
inference(sor,[status(thm)],[2562,1163]),
[iquote('101:SoR:2562.0,1163.1')] ).
cnf(2562,plain,
( ~ c1_1(a134)
| ~ c9_2(a134,a135)
| c9_1(a134)
| c2_2(a134,a145)
| c4_2(a134,a145)
| c1_2(a134,a43) ),
inference(mrr,[status(thm)],[2561,1094]),
[iquote('101:MRR:2561.1,1094.0')] ).
cnf(1693,plain,
( ~ c1_1(u)
| ~ c4_2(u,v)
| ~ c3_2(u,v)
| ~ c9_2(u,v)
| c9_1(u)
| c2_2(u,a145)
| c4_2(u,a145)
| c1_2(u,a43) ),
inference(res,[status(thm),theory(equality)],[1174,1189]),
[iquote('22:Res:1174.2,1189.0')] ).
cnf(1741,plain,
( ~ c4_1(u)
| ~ c9_2(u,a138)
| c5_1(u)
| c10_2(u,a138)
| c5_2(u,a111)
| ssskP1(u)
| c3_2(u,a57)
| c2_2(u,a57)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1415,1589]),
[iquote('53:Res:1415.2,1589.0')] ).
cnf(1742,plain,
( ~ c4_1(u)
| ~ c9_2(u,a138)
| c5_1(u)
| c10_2(u,a138)
| c4_2(u,a111)
| ssskP1(u)
| c3_2(u,a57)
| c2_2(u,a57)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1407,1589]),
[iquote('53:Res:1407.2,1589.0')] ).
cnf(1732,plain,
( ~ c4_1(u)
| ~ c9_2(u,a138)
| c5_1(u)
| c10_2(u,a138)
| c5_2(u,a111)
| ssskP2(u)
| c3_2(u,a60)
| c2_2(u,a60)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1415,1587]),
[iquote('53:Res:1415.2,1587.0')] ).
cnf(2553,plain,
( ~ c8_1(u)
| ~ c3_2(u,a67)
| ~ c9_2(u,a67)
| c9_1(u)
| c2_2(u,a145)
| c4_2(u,a145)
| c10_2(u,a43) ),
inference(ssi,[status(thm)],[2548,1163]),
[iquote('33:SSi:2548.1,1163.1')] ).
cnf(1683,plain,
( ~ c1_1(u)
| ~ c4_2(u,v)
| ~ c3_2(u,v)
| ~ c9_2(u,v)
| c9_1(u)
| c2_2(u,a145)
| c4_2(u,a145)
| c10_2(u,a43) ),
inference(res,[status(thm),theory(equality)],[1174,1188]),
[iquote('22:Res:1174.2,1188.0')] ).
cnf(1733,plain,
( ~ c4_1(u)
| ~ c9_2(u,a138)
| c5_1(u)
| c10_2(u,a138)
| c4_2(u,a111)
| ssskP2(u)
| c3_2(u,a60)
| c2_2(u,a60)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1407,1587]),
[iquote('53:Res:1407.2,1587.0')] ).
cnf(2208,plain,
( ~ c8_1(u)
| ~ c6_1(u)
| ~ c9_2(u,a67)
| ~ c10_2(u,a42)
| c10_2(u,a67)
| c5_2(u,a111)
| c3_2(u,a133)
| c2_2(u,a133) ),
inference(res,[status(thm),theory(equality)],[1416,1625]),
[iquote('53:Res:1416.1,1625.1')] ).
cnf(2209,plain,
( ~ c8_1(u)
| ~ c6_1(u)
| ~ c9_2(u,a67)
| ~ c10_2(u,a42)
| c10_2(u,a67)
| c4_2(u,a111)
| c3_2(u,a133)
| c2_2(u,a133) ),
inference(res,[status(thm),theory(equality)],[1408,1625]),
[iquote('53:Res:1408.1,1625.1')] ).
cnf(1850,plain,
( ~ c6_2(u,a62)
| ~ c8_2(u,a62)
| ~ c2_2(u,v)
| ~ c9_2(u,v)
| ~ c3_2(u,a40)
| ssskP3(u)
| c7_2(u,v) ),
inference(res,[status(thm),theory(equality)],[131,1847]),
[iquote('82:Res:131.1,1847.0')] ).
cnf(1838,plain,
( ~ c6_2(u,a62)
| ~ c8_2(u,a62)
| ~ c2_2(u,v)
| ~ c9_2(u,v)
| ~ c4_2(u,a40)
| ssskP3(u)
| c7_2(u,v) ),
inference(res,[status(thm),theory(equality)],[131,1835]),
[iquote('81:Res:131.1,1835.0')] ).
cnf(2001,plain,
( ~ c5_1(u)
| ~ c9_2(u,a76)
| c4_1(u)
| c2_2(u,a84)
| ssskP6(u)
| c7_2(u,a84)
| ssskP0(u)
| c2_2(u,a49)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1989,1618]),
[iquote('89:Res:1989.5,1618.0')] ).
cnf(2002,plain,
( ~ c5_1(u)
| ~ c9_2(u,a76)
| c4_1(u)
| c2_2(u,a84)
| ssskP6(u)
| c7_2(u,a84)
| ssskP0(u)
| c2_2(u,a49)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1989,1598]),
[iquote('89:Res:1989.5,1598.0')] ).
cnf(2202,plain,
( ~ c4_1(u)
| ~ ssskP5(u)
| ~ c3_2(u,a138)
| ~ c9_2(u,a138)
| ~ c8_2(u,a43)
| c5_1(u)
| c7_1(u)
| c2_2(u,a80) ),
inference(res,[status(thm),theory(equality)],[1170,1758]),
[iquote('33:Res:1170.2,1758.1')] ).
cnf(2137,plain,
( ~ c8_1(u)
| ~ c6_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c5_2(u,a111)
| c3_2(u,a133)
| c2_2(u,a133)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1416,1610]),
[iquote('53:Res:1416.1,1610.1')] ).
cnf(2195,plain,
( ~ c4_1(u)
| ~ c3_2(u,a138)
| ~ c9_2(u,a138)
| ~ c8_2(u,a43)
| c5_1(u)
| ssskP3(u)
| c2_2(u,a62)
| c4_2(u,a62) ),
inference(res,[status(thm),theory(equality)],[1170,1753]),
[iquote('22:Res:1170.2,1753.0')] ).
cnf(2138,plain,
( ~ c8_1(u)
| ~ c6_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c4_2(u,a111)
| c3_2(u,a133)
| c2_2(u,a133)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1408,1610]),
[iquote('53:Res:1408.1,1610.1')] ).
cnf(2122,plain,
( ~ c8_1(u)
| ~ c6_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c5_2(u,a111)
| c3_2(u,a133)
| c2_2(u,a133)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1416,1590]),
[iquote('53:Res:1416.1,1590.1')] ).
cnf(2123,plain,
( ~ c8_1(u)
| ~ c6_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c4_2(u,a111)
| c3_2(u,a133)
| c2_2(u,a133)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1408,1590]),
[iquote('53:Res:1408.1,1590.1')] ).
cnf(2006,plain,
( ~ c8_1(u)
| ~ c9_2(u,a67)
| ~ c10_2(u,a42)
| c10_2(u,a67)
| c5_2(u,a111)
| ssskP2(u)
| c3_2(u,a60)
| c2_2(u,a60) ),
inference(res,[status(thm),theory(equality)],[1416,1622]),
[iquote('53:Res:1416.1,1622.0')] ).
cnf(2179,plain,
( ~ c4_1(u)
| ~ c3_2(u,a138)
| ~ c9_2(u,a138)
| ~ c8_2(u,a43)
| c5_1(u)
| ssskP7(u)
| c2_2(u,a85)
| c4_2(u,a85) ),
inference(res,[status(thm),theory(equality)],[1170,1754]),
[iquote('22:Res:1170.2,1754.0')] ).
cnf(2007,plain,
( ~ c8_1(u)
| ~ c9_2(u,a67)
| ~ c10_2(u,a42)
| c10_2(u,a67)
| c4_2(u,a111)
| ssskP2(u)
| c3_2(u,a60)
| c2_2(u,a60) ),
inference(res,[status(thm),theory(equality)],[1408,1622]),
[iquote('53:Res:1408.1,1622.0')] ).
cnf(1976,plain,
( ~ c8_1(u)
| ~ c9_2(u,a67)
| ~ c10_2(u,a42)
| c10_2(u,a67)
| c5_2(u,a111)
| ssskP1(u)
| c3_2(u,a57)
| c2_2(u,a57) ),
inference(res,[status(thm),theory(equality)],[1416,1624]),
[iquote('53:Res:1416.1,1624.0')] ).
cnf(1977,plain,
( ~ c8_1(u)
| ~ c9_2(u,a67)
| ~ c10_2(u,a42)
| c10_2(u,a67)
| c4_2(u,a111)
| ssskP1(u)
| c3_2(u,a57)
| c2_2(u,a57) ),
inference(res,[status(thm),theory(equality)],[1408,1624]),
[iquote('53:Res:1408.1,1624.0')] ).
cnf(1716,plain,
( ~ c3_1(u)
| ~ c2_2(u,a132)
| ~ c4_2(u,v)
| ~ c9_2(u,a39)
| c10_2(u,a132)
| c3_2(u,v)
| c5_2(u,v) ),
inference(res,[status(thm),theory(equality)],[1196,1714]),
[iquote('72:Res:1196.1,1714.0')] ).
cnf(1704,plain,
( ~ c3_1(u)
| ~ c2_2(u,a132)
| ~ c4_2(u,v)
| ~ c3_2(u,a39)
| c10_2(u,a132)
| c3_2(u,v)
| c5_2(u,v) ),
inference(res,[status(thm),theory(equality)],[1196,1702]),
[iquote('71:Res:1196.1,1702.0')] ).
cnf(1759,plain,
( ~ c8_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c5_2(u,a111)
| ssskP1(u)
| c3_2(u,a57)
| c2_2(u,a57)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1416,1609]),
[iquote('53:Res:1416.1,1609.0')] ).
cnf(1760,plain,
( ~ c8_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c4_2(u,a111)
| ssskP1(u)
| c3_2(u,a57)
| c2_2(u,a57)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1408,1609]),
[iquote('53:Res:1408.1,1609.0')] ).
cnf(1745,plain,
( ~ c8_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c5_2(u,a111)
| ssskP2(u)
| c3_2(u,a60)
| c2_2(u,a60)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1416,1607]),
[iquote('53:Res:1416.1,1607.0')] ).
cnf(1746,plain,
( ~ c8_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c4_2(u,a111)
| ssskP2(u)
| c3_2(u,a60)
| c2_2(u,a60)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1408,1607]),
[iquote('53:Res:1408.1,1607.0')] ).
cnf(2169,plain,
( ~ c4_1(u)
| ~ ssskP5(u)
| ~ c3_2(u,a138)
| ~ c9_2(u,a138)
| c5_1(u)
| c7_1(u)
| c2_2(u,a80)
| c1_2(u,a43) ),
inference(res,[status(thm),theory(equality)],[1170,1700]),
[iquote('33:Res:1170.2,1700.1')] ).
cnf(1739,plain,
( ~ c8_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c5_2(u,a111)
| ssskP1(u)
| c3_2(u,a57)
| c2_2(u,a57)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1416,1589]),
[iquote('53:Res:1416.1,1589.0')] ).
cnf(1740,plain,
( ~ c8_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c4_2(u,a111)
| ssskP1(u)
| c3_2(u,a57)
| c2_2(u,a57)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1408,1589]),
[iquote('53:Res:1408.1,1589.0')] ).
cnf(1730,plain,
( ~ c8_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c5_2(u,a111)
| ssskP2(u)
| c3_2(u,a60)
| c2_2(u,a60)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1416,1587]),
[iquote('53:Res:1416.1,1587.0')] ).
cnf(1731,plain,
( ~ c8_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c4_2(u,a111)
| ssskP2(u)
| c3_2(u,a60)
| c2_2(u,a60)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1408,1587]),
[iquote('53:Res:1408.1,1587.0')] ).
cnf(2155,plain,
( ~ c4_1(u)
| ~ c3_2(u,a138)
| ~ c9_2(u,a138)
| c5_1(u)
| ssskP3(u)
| c2_2(u,a62)
| c4_2(u,a62)
| c1_2(u,a43) ),
inference(res,[status(thm),theory(equality)],[1170,1695]),
[iquote('22:Res:1170.2,1695.0')] ).
cnf(1668,plain,
( ~ c4_1(u)
| ~ c9_2(u,a138)
| ~ c10_2(u,a42)
| c5_1(u)
| c10_2(u,a138)
| c5_2(u,a111)
| ssskP0(u)
| c2_2(u,a49) ),
inference(res,[status(thm),theory(equality)],[1415,1632]),
[iquote('53:Res:1415.2,1632.0')] ).
cnf(1669,plain,
( ~ c4_1(u)
| ~ c9_2(u,a138)
| ~ c10_2(u,a42)
| c5_1(u)
| c10_2(u,a138)
| c4_2(u,a111)
| ssskP0(u)
| c2_2(u,a49) ),
inference(res,[status(thm),theory(equality)],[1407,1632]),
[iquote('53:Res:1407.2,1632.0')] ).
cnf(2544,plain,
( c3_2(a18,u)
| c2_2(a18,u)
| c10_2(a18,u) ),
inference(spt,[],[2543]),
[iquote('137:Spt:2543.1,2543.2,2543.3')] ).
cnf(2147,plain,
( ~ c4_1(u)
| ~ c3_2(u,a138)
| ~ c9_2(u,a138)
| c5_1(u)
| ssskP7(u)
| c2_2(u,a85)
| c4_2(u,a85)
| c1_2(u,a43) ),
inference(res,[status(thm),theory(equality)],[1170,1696]),
[iquote('22:Res:1170.2,1696.0')] ).
cnf(2540,plain,
( ~ c9_2(a29,a79)
| ssskP5(a29)
| c7_2(a29,a79) ),
inference(res,[status(thm),theory(equality)],[127,2538]),
[iquote('135:Res:127.1,2538.0')] ).
cnf(2541,plain,
( ~ c9_2(a29,a133)
| c7_2(a29,a133) ),
inference(res,[status(thm),theory(equality)],[2231,2538]),
[iquote('135:Res:2231.0,2538.0')] ).
cnf(2538,plain,
( ~ c2_2(a29,u)
| ~ c9_2(a29,u)
| c7_2(a29,u) ),
inference(spt,[],[2222]),
[iquote('135:Spt:2222.3,2222.4,2222.5')] ).
cnf(2535,plain,
( ~ ssskP1(a44)
| ~ c9_2(a44,a58)
| c9_1(a44)
| c7_2(a44,a58) ),
inference(res,[status(thm),theory(equality)],[1199,2534]),
[iquote('134:Res:1199.2,2534.0')] ).
cnf(2130,plain,
( ~ c4_1(u)
| ~ ssskP5(u)
| ~ c3_2(u,a138)
| ~ c9_2(u,a138)
| c5_1(u)
| c7_1(u)
| c2_2(u,a80)
| c10_2(u,a43) ),
inference(res,[status(thm),theory(equality)],[1170,1690]),
[iquote('33:Res:1170.2,1690.1')] ).
cnf(2536,plain,
( ~ c9_2(a44,a79)
| ssskP5(a44)
| c7_2(a44,a79) ),
inference(res,[status(thm),theory(equality)],[127,2534]),
[iquote('134:Res:127.1,2534.0')] ).
cnf(2537,plain,
( ~ c9_2(a44,a132)
| c7_2(a44,a132) ),
inference(res,[status(thm),theory(equality)],[2167,2534]),
[iquote('134:Res:2167.0,2534.0')] ).
cnf(2534,plain,
( ~ c2_2(a44,u)
| ~ c9_2(a44,u)
| c7_2(a44,u) ),
inference(spt,[],[1818]),
[iquote('134:Spt:1818.3,1818.4,1818.5')] ).
cnf(1649,plain,
( ~ c4_1(u)
| ~ c9_2(u,a138)
| c5_1(u)
| c10_2(u,a138)
| c5_2(u,a111)
| ssskP0(u)
| c2_2(u,a49)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1415,1618]),
[iquote('53:Res:1415.2,1618.0')] ).
cnf(2111,plain,
( ~ c4_1(u)
| ~ c3_2(u,a138)
| ~ c9_2(u,a138)
| c5_1(u)
| ssskP3(u)
| c2_2(u,a62)
| c4_2(u,a62)
| c10_2(u,a43) ),
inference(res,[status(thm),theory(equality)],[1170,1685]),
[iquote('22:Res:1170.2,1685.0')] ).
cnf(1650,plain,
( ~ c4_1(u)
| ~ c9_2(u,a138)
| c5_1(u)
| c10_2(u,a138)
| c4_2(u,a111)
| ssskP0(u)
| c2_2(u,a49)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1407,1618]),
[iquote('53:Res:1407.2,1618.0')] ).
cnf(1643,plain,
( ~ c4_1(u)
| ~ c9_2(u,a138)
| c5_1(u)
| c10_2(u,a138)
| c5_2(u,a111)
| ssskP0(u)
| c2_2(u,a49)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1415,1598]),
[iquote('53:Res:1415.2,1598.0')] ).
cnf(1644,plain,
( ~ c4_1(u)
| ~ c9_2(u,a138)
| c5_1(u)
| c10_2(u,a138)
| c4_2(u,a111)
| ssskP0(u)
| c2_2(u,a49)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1407,1598]),
[iquote('53:Res:1407.2,1598.0')] ).
cnf(2092,plain,
( ~ c4_1(u)
| ~ c3_2(u,a138)
| ~ c9_2(u,a138)
| c5_1(u)
| ssskP7(u)
| c2_2(u,a85)
| c4_2(u,a85)
| c10_2(u,a43) ),
inference(res,[status(thm),theory(equality)],[1170,1686]),
[iquote('22:Res:1170.2,1686.0')] ).
cnf(2533,plain,
c7_1(a18),
inference(spt,[],[2532]),
[iquote('133:Spt:2532.2')] ).
cnf(2530,plain,
ssskP5(a18),
inference(spt,[],[2523]),
[iquote('132:Spt:2523.1')] ).
cnf(2529,plain,
( ~ c9_2(a18,a133)
| c7_2(a18,a133) ),
inference(res,[status(thm),theory(equality)],[2516,2521]),
[iquote('131:Res:2516.0,2521.0')] ).
cnf(1717,plain,
( ~ c2_2(u,a60)
| ~ c4_2(u,v)
| ~ c9_2(u,a39)
| ssskP2(u)
| c10_2(u,a60)
| c3_2(u,v)
| c5_2(u,v) ),
inference(res,[status(thm),theory(equality)],[134,1714]),
[iquote('72:Res:134.1,1714.0')] ).
cnf(2528,plain,
( ~ c9_2(a18,a57)
| c7_2(a18,a57) ),
inference(res,[status(thm),theory(equality)],[2514,2521]),
[iquote('131:Res:2514.0,2521.0')] ).
cnf(2527,plain,
( ~ c9_2(a18,a43)
| c7_2(a18,a43) ),
inference(res,[status(thm),theory(equality)],[2512,2521]),
[iquote('131:Res:2512.0,2521.0')] ).
cnf(2526,plain,
( ~ c9_2(a18,a70)
| c7_2(a18,a70) ),
inference(res,[status(thm),theory(equality)],[2354,2521]),
[iquote('131:Res:2354.0,2521.0')] ).
cnf(2521,plain,
( ~ c2_2(a18,u)
| ~ c9_2(a18,u)
| c7_2(a18,u) ),
inference(spt,[],[2236]),
[iquote('131:Spt:2236.0,2236.1,2236.6')] ).
cnf(1718,plain,
( ~ c2_2(u,a49)
| ~ c4_2(u,v)
| ~ c9_2(u,a39)
| ssskP0(u)
| c10_2(u,a49)
| c3_2(u,v)
| c5_2(u,v) ),
inference(res,[status(thm),theory(equality)],[138,1714]),
[iquote('72:Res:138.1,1714.0')] ).
cnf(2421,plain,
( ~ c4_2(a44,u)
| ~ c3_2(a44,u)
| ~ c9_2(a44,u)
| ~ c8_2(a44,a43)
| c2_2(a44,a67)
| c4_2(a44,a67) ),
inference(res,[status(thm),theory(equality)],[2417,1190]),
[iquote('122:Res:2417.0,1190.0')] ).
cnf(2516,plain,
c2_2(a18,a133),
inference(spt,[],[2309]),
[iquote('130:Spt:2309.4')] ).
cnf(1719,plain,
( ~ c2_2(u,a62)
| ~ c4_2(u,v)
| ~ c9_2(u,a39)
| ssskP3(u)
| c10_2(u,a62)
| c3_2(u,v)
| c5_2(u,v) ),
inference(res,[status(thm),theory(equality)],[132,1714]),
[iquote('72:Res:132.1,1714.0')] ).
cnf(2514,plain,
c2_2(a18,a57),
inference(spt,[],[2319]),
[iquote('129:Spt:2319.5')] ).
cnf(2512,plain,
c2_2(a18,a43),
inference(spt,[],[2500]),
[iquote('128:Spt:2500.4')] ).
cnf(2501,plain,
( ~ c8_2(a18,u)
| ~ c6_2(a18,u)
| c3_2(a18,u)
| c2_2(a18,u) ),
inference(spt,[],[2298]),
[iquote('127:Spt:2298.0,2298.1,2298.2,2298.3')] ).
cnf(1720,plain,
( ~ c2_2(u,a84)
| ~ c4_2(u,v)
| ~ c9_2(u,a39)
| ssskP6(u)
| c10_2(u,a84)
| c3_2(u,v)
| c5_2(u,v) ),
inference(res,[status(thm),theory(equality)],[126,1714]),
[iquote('72:Res:126.1,1714.0')] ).
cnf(2489,plain,
( ~ c1_2(a18,u)
| c2_2(a18,u)
| c3_2(a18,u)
| c7_2(a18,u) ),
inference(spt,[],[2341]),
[iquote('126:Spt:2341.0,2341.1,2341.2,2341.3')] ).
cnf(2438,plain,
( ~ c9_2(a44,a67)
| ~ c8_2(a44,a43)
| ssskP7(a44)
| c2_2(a44,a85)
| c4_2(a44,a85) ),
inference(ssi,[status(thm)],[2426,1167,1091,1092,1414,1425,1426]),
[iquote('122:SSi:2426.0,1167.0,1091.0,1092.0,1414.0,1425.0,1426.1')] ).
cnf(2437,plain,
( ~ c9_2(a44,a67)
| ~ c8_2(a44,a43)
| ssskP3(a44)
| c2_2(a44,a62)
| c4_2(a44,a62) ),
inference(ssi,[status(thm)],[2425,1167,1091,1092,1414,1425,1426]),
[iquote('122:SSi:2425.0,1167.0,1091.0,1092.0,1414.0,1425.0,1426.1')] ).
cnf(1705,plain,
( ~ c2_2(u,a60)
| ~ c4_2(u,v)
| ~ c3_2(u,a39)
| ssskP2(u)
| c10_2(u,a60)
| c3_2(u,v)
| c5_2(u,v) ),
inference(res,[status(thm),theory(equality)],[134,1702]),
[iquote('71:Res:134.1,1702.0')] ).
cnf(2436,plain,
( ~ ssskP5(a44)
| ~ c9_2(a44,a67)
| ~ c8_2(a44,a43)
| c7_1(a44)
| c2_2(a44,a80) ),
inference(ssi,[status(thm)],[2424,1167,1091,1092,1414,1425,1426]),
[iquote('122:SSi:2424.0,1167.0,1091.0,1092.0,1414.0,1425.0,1426.1')] ).
cnf(2462,plain,
( ~ c5_2(a44,a61)
| c5_2(a44,a43)
| c7_2(a44,a43) ),
inference(ssi,[status(thm)],[2459,1091,1092,1414,1425,1426,2457]),
[iquote('124:SSi:2459.0,1091.0,1092.0,1414.0,1425.0,1426.0,2457.0')] ).
cnf(2486,plain,
c9_2(a44,a61),
inference(spt,[],[2476]),
[iquote('125:Spt:2476.0')] ).
cnf(1706,plain,
( ~ c2_2(u,a49)
| ~ c4_2(u,v)
| ~ c3_2(u,a39)
| ssskP0(u)
| c10_2(u,a49)
| c3_2(u,v)
| c5_2(u,v) ),
inference(res,[status(thm),theory(equality)],[138,1702]),
[iquote('71:Res:138.1,1702.0')] ).
cnf(2458,plain,
c1_2(a44,a43),
inference(spt,[],[2434]),
[iquote('124:Spt:2434.4')] ).
cnf(2457,plain,
c5_1(a44),
inference(spt,[],[2450]),
[iquote('123:Spt:2450.0')] ).
cnf(1707,plain,
( ~ c2_2(u,a62)
| ~ c4_2(u,v)
| ~ c3_2(u,a39)
| ssskP3(u)
| c10_2(u,a62)
| c3_2(u,v)
| c5_2(u,v) ),
inference(res,[status(thm),theory(equality)],[132,1702]),
[iquote('71:Res:132.1,1702.0')] ).
cnf(2417,plain,
c3_2(a44,a67),
inference(spt,[],[2409]),
[iquote('122:Spt:2409.0')] ).
cnf(2392,plain,
( ~ c4_2(a44,u)
| c3_2(a44,u)
| c5_2(a44,u) ),
inference(spt,[],[2359]),
[iquote('121:Spt:2359.0,2359.2,2359.3')] ).
cnf(1708,plain,
( ~ c2_2(u,a84)
| ~ c4_2(u,v)
| ~ c3_2(u,a39)
| ssskP6(u)
| c10_2(u,a84)
| c3_2(u,v)
| c5_2(u,v) ),
inference(res,[status(thm),theory(equality)],[126,1702]),
[iquote('71:Res:126.1,1702.0')] ).
cnf(2349,plain,
( ~ c3_2(a18,a70)
| c2_2(a18,u)
| c3_2(a18,u) ),
inference(ssi,[status(thm)],[2348,1167,1163,1278,1279,1820,1877,1945,1971,2262]),
[iquote('118:SSi:2348.0,1167.0,1163.0,1278.0,1279.0,1820.0,1877.0,1945.0,1971.1,2262.1')] ).
cnf(1635,plain,
( ~ c3_1(u)
| ~ c2_2(u,a132)
| ~ c4_2(u,v)
| c10_2(u,a132)
| c3_2(u,v)
| c5_2(u,v)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[1196,1633]),
[iquote('67:Res:1196.1,1633.0')] ).
cnf(2347,plain,
( ~ c4_2(a18,a70)
| c2_2(a18,u)
| c3_2(a18,u) ),
inference(ssi,[status(thm)],[2346,1167,1163,1278,1279,1820,1877,1945,1971,2262]),
[iquote('118:SSi:2346.0,1167.0,1163.0,1278.0,1279.0,1820.0,1877.0,1945.0,1971.1,2262.1')] ).
cnf(2354,plain,
c2_2(a18,a70),
inference(spt,[],[2353]),
[iquote('119:Spt:2353.0')] ).
cnf(2345,plain,
( ~ c5_2(a18,a70)
| c2_2(a18,u)
| c3_2(a18,u) ),
inference(ssi,[status(thm)],[2344,1167,1163,1278,1279,1820,1877,1945,1971,2262]),
[iquote('118:SSi:2344.0,1167.0,1163.0,1278.0,1279.0,1820.0,1877.0,1945.0,1971.1,2262.1')] ).
cnf(2294,plain,
( c2_2(a18,u)
| c3_2(a18,u)
| c5_2(a18,u) ),
inference(obv,[status(thm),theory(equality)],[2291]),
[iquote('118:Obv:2291.0')] ).
cnf(2203,plain,
( ~ c8_1(u)
| ~ ssskP5(u)
| ~ c3_2(u,a67)
| ~ c9_2(u,a67)
| ~ c8_2(u,a43)
| c7_1(u)
| c2_2(u,a80) ),
inference(res,[status(thm),theory(equality)],[1216,1758]),
[iquote('33:Res:1216.1,1758.1')] ).
cnf(2263,plain,
( c4_2(a18,u)
| c3_2(a18,u)
| c2_2(a18,u) ),
inference(spt,[],[2193]),
[iquote('118:Spt:2193.4,2193.5,2193.6')] ).
cnf(2262,plain,
ssskP3(a18),
inference(spt,[],[2261]),
[iquote('117:Spt:2261.2')] ).
cnf(2196,plain,
( ~ c8_1(u)
| ~ c3_2(u,a67)
| ~ c9_2(u,a67)
| ~ c8_2(u,a43)
| ssskP3(u)
| c2_2(u,a62)
| c4_2(u,a62) ),
inference(res,[status(thm),theory(equality)],[1216,1753]),
[iquote('33:Res:1216.1,1753.0')] ).
cnf(2180,plain,
( ~ c8_1(u)
| ~ c3_2(u,a67)
| ~ c9_2(u,a67)
| ~ c8_2(u,a43)
| ssskP7(u)
| c2_2(u,a85)
| c4_2(u,a85) ),
inference(res,[status(thm),theory(equality)],[1216,1754]),
[iquote('33:Res:1216.1,1754.0')] ).
cnf(1636,plain,
( ~ c2_2(u,a60)
| ~ c4_2(u,v)
| ssskP2(u)
| c10_2(u,a60)
| c3_2(u,v)
| c5_2(u,v)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[134,1633]),
[iquote('67:Res:134.1,1633.0')] ).
cnf(1637,plain,
( ~ c2_2(u,a49)
| ~ c4_2(u,v)
| ssskP0(u)
| c10_2(u,a49)
| c3_2(u,v)
| c5_2(u,v)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[138,1633]),
[iquote('67:Res:138.1,1633.0')] ).
cnf(1638,plain,
( ~ c2_2(u,a62)
| ~ c4_2(u,v)
| ssskP3(u)
| c10_2(u,a62)
| c3_2(u,v)
| c5_2(u,v)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[132,1633]),
[iquote('67:Res:132.1,1633.0')] ).
cnf(1639,plain,
( ~ c2_2(u,a84)
| ~ c4_2(u,v)
| ssskP6(u)
| c10_2(u,a84)
| c3_2(u,v)
| c5_2(u,v)
| c2_2(u,a39) ),
inference(res,[status(thm),theory(equality)],[126,1633]),
[iquote('67:Res:126.1,1633.0')] ).
cnf(2170,plain,
( ~ c8_1(u)
| ~ ssskP5(u)
| ~ c3_2(u,a67)
| ~ c9_2(u,a67)
| c7_1(u)
| c2_2(u,a80)
| c1_2(u,a43) ),
inference(res,[status(thm),theory(equality)],[1216,1700]),
[iquote('33:Res:1216.1,1700.1')] ).
cnf(2156,plain,
( ~ c8_1(u)
| ~ c3_2(u,a67)
| ~ c9_2(u,a67)
| ssskP3(u)
| c2_2(u,a62)
| c4_2(u,a62)
| c1_2(u,a43) ),
inference(res,[status(thm),theory(equality)],[1216,1695]),
[iquote('33:Res:1216.1,1695.0')] ).
cnf(2148,plain,
( ~ c8_1(u)
| ~ c3_2(u,a67)
| ~ c9_2(u,a67)
| ssskP7(u)
| c2_2(u,a85)
| c4_2(u,a85)
| c1_2(u,a43) ),
inference(res,[status(thm),theory(equality)],[1216,1696]),
[iquote('33:Res:1216.1,1696.0')] ).
cnf(2131,plain,
( ~ c8_1(u)
| ~ ssskP5(u)
| ~ c3_2(u,a67)
| ~ c9_2(u,a67)
| c7_1(u)
| c2_2(u,a80)
| c10_2(u,a43) ),
inference(res,[status(thm),theory(equality)],[1216,1690]),
[iquote('33:Res:1216.1,1690.1')] ).
cnf(2112,plain,
( ~ c8_1(u)
| ~ c3_2(u,a67)
| ~ c9_2(u,a67)
| ssskP3(u)
| c2_2(u,a62)
| c4_2(u,a62)
| c10_2(u,a43) ),
inference(res,[status(thm),theory(equality)],[1216,1685]),
[iquote('33:Res:1216.1,1685.0')] ).
cnf(1666,plain,
( ~ c8_1(u)
| ~ c9_2(u,a67)
| ~ c10_2(u,a42)
| c10_2(u,a67)
| c5_2(u,a111)
| ssskP0(u)
| c2_2(u,a49) ),
inference(res,[status(thm),theory(equality)],[1416,1632]),
[iquote('53:Res:1416.1,1632.0')] ).
cnf(1667,plain,
( ~ c8_1(u)
| ~ c9_2(u,a67)
| ~ c10_2(u,a42)
| c10_2(u,a67)
| c4_2(u,a111)
| ssskP0(u)
| c2_2(u,a49) ),
inference(res,[status(thm),theory(equality)],[1408,1632]),
[iquote('53:Res:1408.1,1632.0')] ).
cnf(2248,plain,
( ~ c4_2(a18,u)
| ~ c3_2(a18,u)
| ~ c9_2(a18,u)
| ~ c8_2(a18,a43)
| c4_2(a18,a67) ),
inference(mrr,[status(thm)],[1942,2246]),
[iquote('116:MRR:1942.4,2246.0')] ).
cnf(2093,plain,
( ~ c8_1(u)
| ~ c3_2(u,a67)
| ~ c9_2(u,a67)
| ssskP7(u)
| c2_2(u,a85)
| c4_2(u,a85)
| c10_2(u,a43) ),
inference(res,[status(thm),theory(equality)],[1216,1686]),
[iquote('33:Res:1216.1,1686.0')] ).
cnf(2246,plain,
~ c2_2(a18,a67),
inference(spt,[],[2245,2241,2242]),
[iquote('116:Spt:2245.0,2241.3,2242.0')] ).
cnf(2247,plain,
( ~ c3_2(a18,a42)
| ~ c9_2(a18,a42)
| ~ c8_2(a18,a43)
| c4_2(a18,a67) ),
inference(spt,[],[2245,2241]),
[iquote('116:Spt:2245.0,2241.0,2241.1,2241.2,2241.4')] ).
cnf(1855,plain,
( ~ c8_2(u,a85)
| ~ c2_2(u,v)
| ~ c9_2(u,v)
| ~ c3_2(u,a40)
| ssskP7(u)
| c7_2(u,v) ),
inference(mrr,[status(thm)],[1851,123]),
[iquote('82:MRR:1851.0,123.1')] ).
cnf(1843,plain,
( ~ c8_2(u,a85)
| ~ c2_2(u,v)
| ~ c9_2(u,v)
| ~ c4_2(u,a40)
| ssskP7(u)
| c7_2(u,v) ),
inference(mrr,[status(thm)],[1839,123]),
[iquote('81:MRR:1839.0,123.1')] ).
cnf(2005,plain,
( ~ c5_1(u)
| ~ c3_1(u)
| c4_1(u)
| c2_2(u,a84)
| ssskP6(u)
| c7_2(u,a84)
| c6_1(u)
| c1_2(u,a76) ),
inference(mrr,[status(thm)],[2004,1990]),
[iquote('89:MRR:2004.2,1990.5')] ).
cnf(2233,plain,
( c5_1(a29)
| c10_2(a29,a133)
| c4_2(a29,a133) ),
inference(mrr,[status(thm)],[2232,1178]),
[iquote('115:MRR:2232.1,1178.0')] ).
cnf(2231,plain,
c2_2(a29,a133),
inference(spt,[],[2230]),
[iquote('115:Spt:2230.2')] ).
cnf(1816,plain,
( ~ ssskP5(u)
| ~ ssskC9
| ~ c6_2(u,a80)
| ~ c8_2(u,a80)
| ~ c2_2(u,v)
| ~ c9_2(u,v)
| c7_1(u)
| c7_2(u,v)
| c9_2(u,a40) ),
inference(res,[status(thm),theory(equality)],[1212,1274]),
[iquote('44:Res:1212.2,1274.1')] ).
cnf(2226,plain,
c10_2(a29,a43),
inference(spt,[],[2225]),
[iquote('114:Spt:2225.5')] ).
cnf(2219,plain,
c3_2(a29,a133),
inference(spt,[],[2218]),
[iquote('113:Spt:2218.2')] ).
cnf(1814,plain,
( ~ ssskC9
| ~ c6_2(u,a62)
| ~ c8_2(u,a62)
| ~ c2_2(u,v)
| ~ c9_2(u,v)
| ssskP3(u)
| c7_2(u,v)
| c9_2(u,a40) ),
inference(res,[status(thm),theory(equality)],[131,1274]),
[iquote('44:Res:131.1,1274.1')] ).
cnf(1625,plain,
( ~ c6_1(u)
| ~ c8_2(u,v)
| ~ c9_2(u,v)
| ~ c10_2(u,a42)
| c3_2(u,a133)
| c2_2(u,a133) ),
inference(res,[status(thm),theory(equality)],[1217,1236]),
[iquote('33:Res:1217.1,1236.0')] ).
cnf(1647,plain,
( ~ c8_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c5_2(u,a111)
| ssskP0(u)
| c2_2(u,a49)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1416,1618]),
[iquote('53:Res:1416.1,1618.0')] ).
cnf(2207,plain,
( ~ ssskP5(a134)
| ~ c9_2(a134,a135)
| ~ c8_2(a134,a43)
| c7_1(a134)
| c2_2(a134,a80) ),
inference(mrr,[status(thm)],[2206,1094]),
[iquote('101:MRR:2206.1,1094.0')] ).
cnf(1758,plain,
( ~ ssskP5(u)
| ~ c4_2(u,v)
| ~ c3_2(u,v)
| ~ c9_2(u,v)
| ~ c8_2(u,a43)
| c7_1(u)
| c2_2(u,a80) ),
inference(mrr,[status(thm)],[1755,1195]),
[iquote('33:MRR:1755.7,1195.1')] ).
cnf(1648,plain,
( ~ c8_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c4_2(u,a111)
| ssskP0(u)
| c2_2(u,a49)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1408,1618]),
[iquote('53:Res:1408.1,1618.0')] ).
cnf(1641,plain,
( ~ c8_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c5_2(u,a111)
| ssskP0(u)
| c2_2(u,a49)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1416,1598]),
[iquote('53:Res:1416.1,1598.0')] ).
cnf(2201,plain,
ssskP3(a134),
inference(spt,[],[2200]),
[iquote('112:Spt:2200.2')] ).
cnf(1753,plain,
( ~ c4_2(u,v)
| ~ c3_2(u,v)
| ~ c9_2(u,v)
| ~ c8_2(u,a43)
| ssskP3(u)
| c2_2(u,a62)
| c4_2(u,a62) ),
inference(res,[status(thm),theory(equality)],[131,1190]),
[iquote('22:Res:131.1,1190.0')] ).
cnf(1642,plain,
( ~ c8_1(u)
| ~ c9_2(u,a67)
| c10_2(u,a67)
| c4_2(u,a111)
| ssskP0(u)
| c2_2(u,a49)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1408,1598]),
[iquote('53:Res:1408.1,1598.0')] ).
cnf(2185,plain,
ssskP7(a134),
inference(spt,[],[2184]),
[iquote('111:Spt:2184.2')] ).
cnf(1754,plain,
( ~ c4_2(u,v)
| ~ c3_2(u,v)
| ~ c9_2(u,v)
| ~ c8_2(u,a43)
| ssskP7(u)
| c2_2(u,a85)
| c4_2(u,a85) ),
inference(res,[status(thm),theory(equality)],[124,1190]),
[iquote('22:Res:124.1,1190.0')] ).
cnf(2177,plain,
( ssskP7(a18)
| c2_2(a18,a85) ),
inference(mrr,[status(thm)],[2176,219]),
[iquote('110:MRR:2176.2,219.0')] ).
cnf(2175,plain,
( ~ c6_2(a18,u)
| c2_2(a18,u)
| c9_2(a18,u) ),
inference(spt,[],[1951]),
[iquote('110:Spt:1951.0,1951.4,1951.5')] ).
cnf(2174,plain,
( ~ ssskP5(a134)
| ~ c9_2(a134,a135)
| c7_1(a134)
| c2_2(a134,a80)
| c1_2(a134,a43) ),
inference(mrr,[status(thm)],[2173,1094]),
[iquote('101:MRR:2173.1,1094.0')] ).
cnf(1700,plain,
( ~ ssskP5(u)
| ~ c4_2(u,v)
| ~ c3_2(u,v)
| ~ c9_2(u,v)
| c7_1(u)
| c2_2(u,a80)
| c1_2(u,a43) ),
inference(mrr,[status(thm)],[1697,1195]),
[iquote('33:MRR:1697.6,1195.1')] ).
cnf(2167,plain,
c2_2(a44,a132),
inference(spt,[],[2165]),
[iquote('109:Spt:2165.2')] ).
cnf(2161,plain,
c10_2(a44,a43),
inference(spt,[],[1689]),
[iquote('108:Spt:1689.5')] ).
cnf(1695,plain,
( ~ c4_2(u,v)
| ~ c3_2(u,v)
| ~ c9_2(u,v)
| ssskP3(u)
| c2_2(u,a62)
| c4_2(u,a62)
| c1_2(u,a43) ),
inference(res,[status(thm),theory(equality)],[131,1189]),
[iquote('22:Res:131.1,1189.0')] ).
cnf(1738,plain,
( ~ c7_2(u,a85)
| ~ c6_2(u,v)
| ~ c10_2(u,a131)
| ssskP7(u)
| c2_2(u,v)
| c9_2(u,v) ),
inference(mrr,[status(thm)],[1737,219]),
[iquote('74:MRR:1737.4,219.0')] ).
cnf(1727,plain,
( ~ c7_2(u,a85)
| ~ c6_2(u,v)
| ~ c1_2(u,a131)
| ssskP7(u)
| c2_2(u,v)
| c9_2(u,v) ),
inference(mrr,[status(thm)],[1726,219]),
[iquote('73:MRR:1726.4,219.0')] ).
cnf(1696,plain,
( ~ c4_2(u,v)
| ~ c3_2(u,v)
| ~ c9_2(u,v)
| ssskP7(u)
| c2_2(u,a85)
| c4_2(u,a85)
| c1_2(u,a43) ),
inference(res,[status(thm),theory(equality)],[124,1189]),
[iquote('22:Res:124.1,1189.0')] ).
cnf(1610,plain,
( ~ c6_1(u)
| ~ c8_2(u,v)
| ~ c9_2(u,v)
| c3_2(u,a133)
| c2_2(u,a133)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1217,1235]),
[iquote('33:Res:1217.1,1235.0')] ).
cnf(1690,plain,
( ~ ssskP5(u)
| ~ c4_2(u,v)
| ~ c3_2(u,v)
| ~ c9_2(u,v)
| c7_1(u)
| c2_2(u,a80)
| c10_2(u,a43) ),
inference(mrr,[status(thm)],[1687,1195]),
[iquote('33:MRR:1687.6,1195.1')] ).
cnf(1590,plain,
( ~ c6_1(u)
| ~ c8_2(u,v)
| ~ c9_2(u,v)
| c3_2(u,a133)
| c2_2(u,a133)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[1217,1234]),
[iquote('33:Res:1217.1,1234.0')] ).
cnf(1459,plain,
( ~ c4_1(u)
| ~ c8_1(u)
| c5_1(u)
| c10_2(u,a138)
| c5_2(u,a111)
| c7_2(u,a138)
| c2_2(u,a138) ),
inference(obv,[status(thm),theory(equality)],[1448]),
[iquote('53:Obv:1448.0')] ).
cnf(1458,plain,
( ~ c4_1(u)
| ~ c8_1(u)
| c5_1(u)
| c10_2(u,a138)
| c4_2(u,a111)
| c7_2(u,a138)
| c2_2(u,a138) ),
inference(obv,[status(thm),theory(equality)],[1449]),
[iquote('53:Obv:1449.0')] ).
cnf(2116,plain,
c2_2(a3,a4),
inference(spt,[],[2108]),
[iquote('107:Spt:2108.2')] ).
cnf(1685,plain,
( ~ c4_2(u,v)
| ~ c3_2(u,v)
| ~ c9_2(u,v)
| ssskP3(u)
| c2_2(u,a62)
| c4_2(u,a62)
| c10_2(u,a43) ),
inference(res,[status(thm),theory(equality)],[131,1188]),
[iquote('22:Res:131.1,1188.0')] ).
cnf(2104,plain,
c7_2(a3,a4),
inference(spt,[],[2100]),
[iquote('106:Spt:2100.0')] ).
cnf(2103,plain,
( c9_1(a3)
| c10_2(a3,a4) ),
inference(mrr,[status(thm)],[1829,2099]),
[iquote('105:MRR:1829.0,2099.0')] ).
cnf(2099,plain,
c5_1(a3),
inference(spt,[],[2098]),
[iquote('105:Spt:2098.0')] ).
cnf(2097,plain,
c4_1(a3),
inference(spt,[],[2091]),
[iquote('104:Spt:2091.0')] ).
cnf(1686,plain,
( ~ c4_2(u,v)
| ~ c3_2(u,v)
| ~ c9_2(u,v)
| ssskP7(u)
| c2_2(u,a85)
| c4_2(u,a85)
| c10_2(u,a43) ),
inference(res,[status(thm),theory(equality)],[124,1188]),
[iquote('22:Res:124.1,1188.0')] ).
cnf(2087,plain,
( ~ c4_2(a3,u)
| c3_2(a3,u)
| c5_2(a3,u) ),
inference(spt,[],[1640]),
[iquote('103:Spt:1640.1,1640.3,1640.4')] ).
cnf(1972,plain,
( ~ c2_1(a53)
| ~ c4_1(a53)
| ~ c5_1(a53)
| c9_1(a53)
| c3_2(a53,a118)
| c7_2(a53,a118)
| c4_2(a53,a118) ),
inference(res,[status(thm),theory(equality)],[1822,1184]),
[iquote('80:Res:1822.4,1184.0')] ).
cnf(1819,plain,
( ~ ssskC9
| ~ c8_2(u,a85)
| ~ c2_2(u,v)
| ~ c9_2(u,v)
| ssskP7(u)
| c7_2(u,v)
| c9_2(u,a40) ),
inference(mrr,[status(thm)],[1815,123]),
[iquote('44:MRR:1815.1,123.1')] ).
cnf(2083,plain,
( ~ c3_2(a18,a42)
| ~ c9_2(a18,a42)
| ~ c8_2(a18,a43)
| c2_2(a18,a132) ),
inference(res,[status(thm),theory(equality)],[1783,2048]),
[iquote('96:Res:1783.0,2048.0')] ).
cnf(2085,plain,
( ~ c9_2(a18,a67)
| ~ c8_2(a18,a43)
| c2_2(a18,a132) ),
inference(mrr,[status(thm)],[2084,1938]),
[iquote('96:MRR:2084.0,1938.0')] ).
cnf(2048,plain,
( ~ c4_2(a18,u)
| ~ c3_2(a18,u)
| ~ c9_2(a18,u)
| ~ c8_2(a18,a43)
| c2_2(a18,a132) ),
inference(mrr,[status(thm)],[2043,1778]),
[iquote('96:MRR:2043.5,1778.0')] ).
cnf(2079,plain,
c10_2(a134,a135),
inference(spt,[],[2076]),
[iquote('102:Spt:2076.0')] ).
cnf(2069,plain,
c4_2(a134,a135),
inference(spt,[],[1756]),
[iquote('101:Spt:1756.5')] ).
cnf(2067,plain,
( ~ ssskP2(a18)
| ~ c5_2(a18,a61)
| c5_2(a18,a43)
| c7_2(a18,a43) ),
inference(res,[status(thm),theory(equality)],[2066,1545]),
[iquote('100:Res:2066.0,1545.1')] ).
cnf(2068,plain,
( ~ ssskP2(a18)
| c5_2(a18,a43)
| c7_2(a18,a43)
| c9_2(a18,a61) ),
inference(res,[status(thm),theory(equality)],[2066,1460]),
[iquote('100:Res:2066.0,1460.1')] ).
cnf(2066,plain,
c1_2(a18,a43),
inference(spt,[],[2047]),
[iquote('100:Spt:2047.4')] ).
cnf(2065,plain,
c10_2(a18,a43),
inference(spt,[],[2046]),
[iquote('99:Spt:2046.4')] ).
cnf(2060,plain,
( ~ ssskP2(a53)
| ~ c5_2(a53,a61)
| c2_2(a53,a54)
| c5_2(a53,a54)
| c7_2(a53,a54) ),
inference(res,[status(thm),theory(equality)],[2059,1545]),
[iquote('98:Res:2059.1,1545.1')] ).
cnf(2061,plain,
( ~ ssskP2(a53)
| c2_2(a53,a54)
| c5_2(a53,a54)
| c7_2(a53,a54)
| c9_2(a53,a61) ),
inference(res,[status(thm),theory(equality)],[2059,1460]),
[iquote('98:Res:2059.1,1460.1')] ).
cnf(2059,plain,
( c2_2(a53,a54)
| c1_2(a53,a54) ),
inference(res,[status(thm),theory(equality)],[1182,2057]),
[iquote('98:Res:1182.0,2057.0')] ).
cnf(2057,plain,
( ~ c9_2(a53,u)
| c2_2(a53,u)
| c1_2(a53,u) ),
inference(spt,[],[1919]),
[iquote('98:Spt:1919.0,1919.2,1919.3')] ).
cnf(2055,plain,
c8_1(a29),
inference(spt,[],[2053]),
[iquote('97:Spt:2053.1')] ).
cnf(2039,plain,
c3_2(a18,a132),
inference(spt,[],[2036]),
[iquote('96:Spt:2036.2')] ).
cnf(2029,plain,
c10_2(a134,a43),
inference(spt,[],[1688]),
[iquote('95:Spt:1688.5')] ).
cnf(1991,plain,
( ~ c5_1(u)
| c4_1(u)
| c2_2(u,a84)
| ssskP6(u)
| c7_2(u,a84)
| c7_2(u,a76) ),
inference(obv,[status(thm),theory(equality)],[1986]),
[iquote('89:Obv:1986.4')] ).
cnf(1990,plain,
( ~ c5_1(u)
| c4_1(u)
| c2_2(u,a84)
| ssskP6(u)
| c7_2(u,a84)
| c6_2(u,a76) ),
inference(obv,[status(thm),theory(equality)],[1987]),
[iquote('89:Obv:1987.4')] ).
cnf(2013,plain,
( ~ c9_2(a18,a42)
| ~ c10_2(a18,a42)
| ssskP2(a18)
| c3_2(a18,a60)
| c2_2(a18,a60) ),
inference(res,[status(thm),theory(equality)],[1796,1622]),
[iquote('78:Res:1796.0,1622.0')] ).
cnf(2014,plain,
ssskP2(a29),
inference(spt,[],[2011]),
[iquote('94:Spt:2011.2')] ).
cnf(1622,plain,
( ~ c8_2(u,v)
| ~ c9_2(u,v)
| ~ c10_2(u,a42)
| ssskP2(u)
| c3_2(u,a60)
| c2_2(u,a60) ),
inference(res,[status(thm),theory(equality)],[133,1236]),
[iquote('33:Res:133.1,1236.0')] ).
cnf(1989,plain,
( ~ c5_1(u)
| c4_1(u)
| c2_2(u,a84)
| ssskP6(u)
| c7_2(u,a84)
| c8_2(u,a76) ),
inference(obv,[status(thm),theory(equality)],[1988]),
[iquote('89:Obv:1988.4')] ).
cnf(1975,plain,
( ssskP6(u)
| c4_1(u)
| c2_2(u,a84)
| c1_2(u,a84)
| c7_2(u,a84) ),
inference(obv,[status(thm),theory(equality)],[1973]),
[iquote('89:Obv:1973.0')] ).
cnf(1983,plain,
ssskP6(a53),
inference(spt,[],[1974]),
[iquote('93:Spt:1974.0')] ).
cnf(1624,plain,
( ~ c8_2(u,v)
| ~ c9_2(u,v)
| ~ c10_2(u,a42)
| ssskP1(u)
| c3_2(u,a57)
| c2_2(u,a57) ),
inference(res,[status(thm),theory(equality)],[135,1236]),
[iquote('33:Res:135.1,1236.0')] ).
cnf(1920,plain,
( ~ c9_2(u,v)
| ssskP6(u)
| c4_1(u)
| c2_2(u,v)
| c1_2(u,v)
| c7_2(u,a84) ),
inference(mrr,[status(thm)],[1918,220]),
[iquote('89:MRR:1918.6,220.0')] ).
cnf(1822,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)],[1192,1821]),
[iquote('80:Res:1192.2,1821.1')] ).
cnf(1971,plain,
c5_1(a18),
inference(spt,[],[1966]),
[iquote('92:Spt:1966.1')] ).
cnf(1946,plain,
( c4_2(a18,u)
| c7_2(a18,u)
| c2_2(a18,u) ),
inference(mrr,[status(thm)],[1453,1945]),
[iquote('91:MRR:1453.0,1945.0')] ).
cnf(1945,plain,
c4_1(a18),
inference(spt,[],[1933]),
[iquote('91:Spt:1933.1')] ).
cnf(1938,plain,
c3_2(a18,a67),
inference(spt,[],[1912]),
[iquote('90:Spt:1912.2')] ).
cnf(1917,plain,
( ~ c9_2(u,v)
| ~ c9_2(u,w)
| c4_1(u)
| c2_2(u,w)
| c1_2(u,w)
| c7_2(u,v)
| c8_2(u,v) ),
inference(spt,[],[1028]),
[iquote('89:Spt:1028.1,1028.2,1028.3,1028.9,1028.10,1028.11,1028.12')] ).
cnf(1893,plain,
( ~ c4_2(a18,u)
| c3_2(a18,u)
| c5_2(a18,u) ),
inference(spt,[],[1871]),
[iquote('88:Spt:1871.0,1871.2,1871.3')] ).
cnf(1889,plain,
c7_2(a18,a42),
inference(spt,[],[1888]),
[iquote('87:Spt:1888.1')] ).
cnf(1878,plain,
( ~ c8_2(u,v)
| ~ c5_2(u,w)
| c8_1(u)
| c2_2(u,v)
| c9_2(u,v)
| c6_2(u,w)
| c7_2(u,w) ),
inference(spt,[],[1023]),
[iquote('86:Spt:1023.0,1023.1,1023.4,1023.5,1023.6,1023.7,1023.8')] ).
cnf(1877,plain,
c9_1(a18),
inference(spt,[],[1876]),
[iquote('85:Spt:1876.0')] ).
cnf(1870,plain,
c2_2(a18,a42),
inference(spt,[],[1867]),
[iquote('84:Spt:1867.1')] ).
cnf(1856,plain,
c5_2(a18,a42),
inference(spt,[],[1781]),
[iquote('83:Spt:1781.4')] ).
cnf(1847,plain,
( ~ c3_2(u,v)
| ~ c6_2(u,v)
| ~ c8_2(u,v)
| ~ c2_2(u,w)
| ~ c9_2(u,w)
| ~ c3_2(u,a40)
| c7_2(u,w) ),
inference(spt,[],[1276]),
[iquote('82:Spt:1276.1,1276.2,1276.3,1276.4,1276.5,1276.6,1276.7')] ).
cnf(1845,plain,
( ~ c3_1(a53)
| ~ c5_1(a53)
| c9_1(a53)
| c3_2(a53,a132)
| c7_2(a53,a132) ),
inference(mrr,[status(thm)],[1844,1197]),
[iquote('80:MRR:1844.5,1197.1')] ).
cnf(1823,plain,
( ~ c3_1(u)
| ~ c5_1(u)
| c9_1(u)
| c10_2(u,a132)
| c3_2(u,a132) ),
inference(res,[status(thm),theory(equality)],[1196,1821]),
[iquote('80:Res:1196.1,1821.1')] ).
cnf(1835,plain,
( ~ c3_2(u,v)
| ~ c6_2(u,v)
| ~ c8_2(u,v)
| ~ c2_2(u,w)
| ~ c9_2(u,w)
| ~ c4_2(u,a40)
| c7_2(u,w) ),
inference(spt,[],[1275]),
[iquote('81:Spt:1275.1,1275.2,1275.3,1275.4,1275.5,1275.6,1275.7')] ).
cnf(1827,plain,
( ~ c5_1(u)
| ssskP6(u)
| c9_1(u)
| c10_2(u,a84)
| c3_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[126,1821]),
[iquote('80:Res:126.1,1821.1')] ).
cnf(1824,plain,
( ~ c5_1(u)
| ssskP2(u)
| c9_1(u)
| c10_2(u,a60)
| c3_2(u,a60) ),
inference(res,[status(thm),theory(equality)],[134,1821]),
[iquote('80:Res:134.1,1821.1')] ).
cnf(1830,plain,
( ~ c5_1(u)
| ssskP0(u)
| c9_1(u)
| c10_2(u,a49) ),
inference(mrr,[status(thm)],[1825,231]),
[iquote('80:MRR:1825.4,231.0')] ).
cnf(1821,plain,
( ~ c5_1(u)
| ~ c5_2(u,v)
| c9_1(u)
| c10_2(u,v)
| c3_2(u,v) ),
inference(spt,[],[1204]),
[iquote('80:Spt:1204.1,1204.2,1204.4,1204.6,1204.7')] ).
cnf(1820,plain,
ssskP0(a18),
inference(spt,[],[1807]),
[iquote('79:Spt:1807.1')] ).
cnf(1799,plain,
( ~ c6_2(a18,a42)
| c10_2(a18,a92) ),
inference(mrr,[status(thm)],[1792,1796]),
[iquote('78:MRR:1792.0,1796.0')] ).
cnf(1274,plain,
( ~ ssskC9
| ~ c3_2(u,v)
| ~ c6_2(u,v)
| ~ c8_2(u,v)
| ~ c2_2(u,w)
| ~ c9_2(u,w)
| c7_2(u,w)
| c9_2(u,a40) ),
inference(mrr,[status(thm)],[1015,1273]),
[iquote('44:MRR:1015.0,1273.0')] ).
cnf(1798,plain,
( ~ c6_2(a18,a42)
| c9_2(a18,a92) ),
inference(mrr,[status(thm)],[1791,1796]),
[iquote('78:MRR:1791.0,1796.0')] ).
cnf(1797,plain,
( ~ c6_2(a18,a42)
| c8_2(a18,a92) ),
inference(mrr,[status(thm)],[1790,1796]),
[iquote('78:MRR:1790.0,1796.0')] ).
cnf(1796,plain,
c8_2(a18,a42),
inference(spt,[],[1788]),
[iquote('78:Spt:1788.0')] ).
cnf(1780,plain,
c7_2(a18,a132),
inference(mrr,[status(thm)],[1364,1778]),
[iquote('76:MRR:1364.1,1778.0')] ).
cnf(1778,plain,
~ c4_2(a18,a132),
inference(spt,[],[1774,1593,1766]),
[iquote('76:Spt:1774.0,1593.2,1766.0')] ).
cnf(1783,plain,
c4_2(a18,a42),
inference(spt,[],[1779]),
[iquote('77:Spt:1779.4')] ).
cnf(1655,plain,
( ~ c7_2(u,a85)
| ~ c6_2(u,v)
| ssskP7(u)
| c2_2(u,v)
| c9_2(u,v)
| c2_2(u,a131) ),
inference(mrr,[status(thm)],[1654,219]),
[iquote('68:MRR:1654.3,219.0')] ).
cnf(1765,plain,
ssskP1(a29),
inference(spt,[],[1763]),
[iquote('75:Spt:1763.1')] ).
cnf(1609,plain,
( ~ c8_2(u,v)
| ~ c9_2(u,v)
| ssskP1(u)
| c3_2(u,a57)
| c2_2(u,a57)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[135,1235]),
[iquote('33:Res:135.1,1235.0')] ).
cnf(1190,plain,
( ~ c3_2(u,v)
| ~ c4_2(u,w)
| ~ c3_2(u,w)
| ~ c9_2(u,w)
| ~ c8_2(u,a43)
| c2_2(u,v)
| c4_2(u,v) ),
inference(mrr,[status(thm)],[1155,1176]),
[iquote('22:MRR:1155.0,1176.0')] ).
cnf(1607,plain,
( ~ c8_2(u,v)
| ~ c9_2(u,v)
| ssskP2(u)
| c3_2(u,a60)
| c2_2(u,a60)
| c5_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[133,1235]),
[iquote('33:Res:133.1,1235.0')] ).
cnf(1589,plain,
( ~ c8_2(u,v)
| ~ c9_2(u,v)
| ssskP1(u)
| c3_2(u,a57)
| c2_2(u,a57)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[135,1234]),
[iquote('33:Res:135.1,1234.0')] ).
cnf(1736,plain,
( ~ c6_2(u,v)
| ~ c7_2(u,v)
| ~ c6_2(u,w)
| ~ c10_2(u,a131)
| c9_2(u,v)
| c2_2(u,w)
| c9_2(u,w) ),
inference(spt,[],[1009]),
[iquote('74:Spt:1009.0,1009.1,1009.2,1009.3,1009.5,1009.6,1009.7')] ).
cnf(1587,plain,
( ~ c8_2(u,v)
| ~ c9_2(u,v)
| ssskP2(u)
| c3_2(u,a60)
| c2_2(u,a60)
| c4_2(u,a42) ),
inference(res,[status(thm),theory(equality)],[133,1234]),
[iquote('33:Res:133.1,1234.0')] ).
cnf(1579,plain,
( ~ c6_1(u)
| ~ c8_1(u)
| ~ c8_2(u,a89)
| ~ c6_2(u,a89)
| c4_1(u)
| c8_2(u,a92) ),
inference(res,[status(thm),theory(equality)],[1286,1293]),
[iquote('50:Res:1286.2,1293.1')] ).
cnf(1570,plain,
( ~ c6_1(u)
| ~ c8_1(u)
| ~ c8_2(u,a89)
| ~ c6_2(u,a89)
| c4_1(u)
| c9_2(u,a92) ),
inference(res,[status(thm),theory(equality)],[1286,1292]),
[iquote('50:Res:1286.2,1292.1')] ).
cnf(1725,plain,
( ~ c6_2(u,v)
| ~ c7_2(u,v)
| ~ c6_2(u,w)
| ~ c1_2(u,a131)
| c9_2(u,v)
| c2_2(u,w)
| c9_2(u,w) ),
inference(spt,[],[1008]),
[iquote('73:Spt:1008.0,1008.1,1008.2,1008.3,1008.5,1008.6,1008.7')] ).
cnf(1558,plain,
( ~ c6_1(u)
| ~ c8_1(u)
| ~ c8_2(u,a89)
| ~ c6_2(u,a89)
| c4_1(u)
| c10_2(u,a92) ),
inference(res,[status(thm),theory(equality)],[1286,1291]),
[iquote('50:Res:1286.2,1291.1')] ).
cnf(1723,plain,
( ~ c2_1(a122)
| ~ c5_1(a122)
| c3_2(a122,a118)
| c10_2(a122,a118)
| c7_2(a122,a118)
| c7_2(a122,a76) ),
inference(ssi,[status(thm)],[1722,1230,1231]),
[iquote('52:SSi:1722.1,1230.0,1231.0')] ).
cnf(1531,plain,
( ~ c2_1(u)
| ~ c4_1(u)
| ~ c5_1(u)
| ~ c1_2(u,a118)
| c7_2(u,a118)
| c7_2(u,a76) ),
inference(res,[status(thm),theory(equality)],[1192,1298]),
[iquote('52:Res:1192.2,1298.1')] ).
cnf(1713,plain,
( ~ c2_1(a122)
| ~ c5_1(a122)
| c3_2(a122,a118)
| c10_2(a122,a118)
| c7_2(a122,a118)
| c6_2(a122,a76) ),
inference(ssi,[status(thm)],[1712,1230,1231]),
[iquote('52:SSi:1712.1,1230.0,1231.0')] ).
cnf(1714,plain,
( ~ c5_2(u,v)
| ~ c2_2(u,v)
| ~ c4_2(u,w)
| ~ c9_2(u,a39)
| c10_2(u,v)
| c3_2(u,w)
| c5_2(u,w) ),
inference(spt,[],[1007]),
[iquote('72:Spt:1007.0,1007.1,1007.2,1007.3,1007.5,1007.6,1007.7')] ).
cnf(1517,plain,
( ~ c2_1(u)
| ~ c4_1(u)
| ~ c5_1(u)
| ~ c1_2(u,a118)
| c7_2(u,a118)
| c6_2(u,a76) ),
inference(res,[status(thm),theory(equality)],[1192,1297]),
[iquote('52:Res:1192.2,1297.1')] ).
cnf(1711,plain,
( ~ c2_1(a122)
| ~ c5_1(a122)
| c3_2(a122,a118)
| c10_2(a122,a118)
| c7_2(a122,a118)
| c8_2(a122,a76) ),
inference(ssi,[status(thm)],[1710,1230,1231]),
[iquote('52:SSi:1710.1,1230.0,1231.0')] ).
cnf(1508,plain,
( ~ c2_1(u)
| ~ c4_1(u)
| ~ c5_1(u)
| ~ c1_2(u,a118)
| c7_2(u,a118)
| c8_2(u,a76) ),
inference(res,[status(thm),theory(equality)],[1192,1296]),
[iquote('52:Res:1192.2,1296.1')] ).
cnf(1548,plain,
( ~ ssskP2(a122)
| ~ c5_2(a122,a61)
| c3_2(a122,u)
| c10_2(a122,u)
| c5_2(a122,u)
| c7_2(a122,u) ),
inference(res,[status(thm),theory(equality)],[1232,1545]),
[iquote('65:Res:1232.0,1545.1')] ).
cnf(1702,plain,
( ~ c5_2(u,v)
| ~ c2_2(u,v)
| ~ c4_2(u,w)
| ~ c3_2(u,a39)
| c10_2(u,v)
| c3_2(u,w)
| c5_2(u,w) ),
inference(spt,[],[1006]),
[iquote('71:Spt:1006.0,1006.1,1006.2,1006.3,1006.5,1006.6,1006.7')] ).
cnf(1701,plain,
( ~ c3_1(a122)
| c3_2(a122,a84)
| c10_2(a122,a84)
| ssskP6(a122)
| c7_2(a122,a84)
| c7_2(a122,a76)
| c7_1(a122) ),
inference(sor,[status(thm)],[1665,1167]),
[iquote('52:SoR:1665.0,1167.1')] ).
cnf(1692,plain,
( ~ c3_1(a122)
| c3_2(a122,a84)
| c10_2(a122,a84)
| ssskP6(a122)
| c7_2(a122,a84)
| c6_2(a122,a76)
| c7_1(a122) ),
inference(sor,[status(thm)],[1658,1167]),
[iquote('52:SoR:1658.0,1167.1')] ).
cnf(1691,plain,
( ~ c3_1(a122)
| c3_2(a122,a84)
| c10_2(a122,a84)
| ssskP6(a122)
| c7_2(a122,a84)
| c8_2(a122,a76)
| c7_1(a122) ),
inference(sor,[status(thm)],[1657,1167]),
[iquote('52:SoR:1657.0,1167.1')] ).
cnf(1665,plain,
( ~ c8_1(a122)
| c3_2(a122,a84)
| c10_2(a122,a84)
| ssskP6(a122)
| c7_2(a122,a84)
| c7_2(a122,a76)
| c7_1(a122) ),
inference(sor,[status(thm)],[1555,1186]),
[iquote('52:SoR:1555.0,1186.2')] ).
cnf(1189,plain,
( ~ c3_2(u,v)
| ~ c4_2(u,w)
| ~ c3_2(u,w)
| ~ c9_2(u,w)
| c2_2(u,v)
| c4_2(u,v)
| c1_2(u,a43) ),
inference(mrr,[status(thm)],[1154,1176]),
[iquote('22:MRR:1154.0,1176.0')] ).
cnf(1658,plain,
( ~ c8_1(a122)
| c3_2(a122,a84)
| c10_2(a122,a84)
| ssskP6(a122)
| c7_2(a122,a84)
| c6_2(a122,a76)
| c7_1(a122) ),
inference(sor,[status(thm)],[1544,1186]),
[iquote('52:SoR:1544.0,1186.2')] ).
cnf(1657,plain,
( ~ c8_1(a122)
| c3_2(a122,a84)
| c10_2(a122,a84)
| ssskP6(a122)
| c7_2(a122,a84)
| c8_2(a122,a76)
| c7_1(a122) ),
inference(sor,[status(thm)],[1530,1186]),
[iquote('52:SoR:1530.0,1186.2')] ).
cnf(1441,plain,
( ~ c3_1(u)
| ~ c6_2(u,a67)
| c10_2(u,a67)
| c5_2(u,a111)
| c6_1(u)
| c1_2(u,a67) ),
inference(ssi,[status(thm)],[1436,1167]),
[iquote('53:SSi:1436.0,1167.1')] ).
cnf(1440,plain,
( ~ c3_1(u)
| ~ c6_2(u,a67)
| c10_2(u,a67)
| c4_2(u,a111)
| c6_1(u)
| c1_2(u,a67) ),
inference(ssi,[status(thm)],[1437,1167]),
[iquote('53:SSi:1437.0,1167.1')] ).
cnf(1188,plain,
( ~ c3_2(u,v)
| ~ c4_2(u,w)
| ~ c3_2(u,w)
| ~ c9_2(u,w)
| c2_2(u,v)
| c4_2(u,v)
| c10_2(u,a43) ),
inference(mrr,[status(thm)],[1153,1176]),
[iquote('22:MRR:1153.0,1176.0')] ).
cnf(1463,plain,
( ~ ssskP2(a122)
| c3_2(a122,u)
| c10_2(a122,u)
| c5_2(a122,u)
| c7_2(a122,u)
| c9_2(a122,a61) ),
inference(res,[status(thm),theory(equality)],[1232,1460]),
[iquote('64:Res:1232.0,1460.1')] ).
cnf(1679,plain,
( ~ c9_2(a18,u)
| c7_2(a18,u)
| c4_2(a18,u) ),
inference(spt,[],[1646]),
[iquote('70:Spt:1646.0,1646.1,1646.2')] ).
cnf(1605,plain,
( ~ c3_1(a122)
| ~ c5_1(a122)
| c3_2(a122,a132)
| c10_2(a122,a132)
| c7_2(a122,a132)
| c7_2(a122,a76) ),
inference(res,[status(thm),theory(equality)],[1232,1532]),
[iquote('52:Res:1232.0,1532.2')] ).
cnf(1604,plain,
( ~ c3_1(a122)
| ~ c5_1(a122)
| c3_2(a122,a132)
| c10_2(a122,a132)
| c7_2(a122,a132)
| c6_2(a122,a76) ),
inference(res,[status(thm),theory(equality)],[1232,1518]),
[iquote('52:Res:1232.0,1518.2')] ).
cnf(1603,plain,
( ~ c3_1(a122)
| ~ c5_1(a122)
| c3_2(a122,a132)
| c10_2(a122,a132)
| c7_2(a122,a132)
| c8_2(a122,a76) ),
inference(res,[status(thm),theory(equality)],[1232,1509]),
[iquote('52:Res:1232.0,1509.2')] ).
cnf(1672,plain,
ssskP0(a29),
inference(spt,[],[1670]),
[iquote('69:Spt:1670.2')] ).
cnf(1632,plain,
( ~ c8_2(u,v)
| ~ c9_2(u,v)
| ~ c10_2(u,a42)
| ssskP0(u)
| c2_2(u,a49) ),
inference(mrr,[status(thm)],[1623,231]),
[iquote('33:MRR:1623.4,231.0')] ).
cnf(1555,plain,
( ~ c5_1(a122)
| c3_2(a122,a84)
| c10_2(a122,a84)
| ssskP6(a122)
| c7_2(a122,a84)
| c7_2(a122,a76) ),
inference(res,[status(thm),theory(equality)],[1232,1536]),
[iquote('52:Res:1232.0,1536.1')] ).
cnf(1544,plain,
( ~ c5_1(a122)
| c3_2(a122,a84)
| c10_2(a122,a84)
| ssskP6(a122)
| c7_2(a122,a84)
| c6_2(a122,a76) ),
inference(res,[status(thm),theory(equality)],[1232,1522]),
[iquote('52:Res:1232.0,1522.1')] ).
cnf(1530,plain,
( ~ c5_1(a122)
| c3_2(a122,a84)
| c10_2(a122,a84)
| ssskP6(a122)
| c7_2(a122,a84)
| c8_2(a122,a76) ),
inference(res,[status(thm),theory(equality)],[1232,1513]),
[iquote('52:Res:1232.0,1513.1')] ).
cnf(1467,plain,
( ~ c1_1(a59)
| ~ ssskP2(a59)
| ~ ssskC13
| c9_2(a59,a61)
| c9_2(a59,a145)
| c8_2(a59,a145) ),
inference(mrr,[status(thm)],[1466,1125]),
[iquote('64:MRR:1466.3,1125.1')] ).
cnf(1445,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)],[1163,1229]),
[iquote('33:Res:1163.1,1229.0')] ).
cnf(1653,plain,
( ~ c6_2(u,v)
| ~ c7_2(u,v)
| ~ c6_2(u,w)
| c9_2(u,v)
| c2_2(u,w)
| c9_2(u,w)
| c2_2(u,a131) ),
inference(spt,[],[1001]),
[iquote('68:Spt:1001.0,1001.1,1001.2,1001.4,1001.5,1001.6,1001.7')] ).
cnf(1618,plain,
( ~ c8_2(u,v)
| ~ c9_2(u,v)
| ssskP0(u)
| c2_2(u,a49)
| c5_2(u,a42) ),
inference(mrr,[status(thm)],[1608,231]),
[iquote('33:MRR:1608.3,231.0')] ).
cnf(1598,plain,
( ~ c8_2(u,v)
| ~ c9_2(u,v)
| ssskP0(u)
| c2_2(u,a49)
| c4_2(u,a42) ),
inference(mrr,[status(thm)],[1588,231]),
[iquote('33:MRR:1588.3,231.0')] ).
cnf(1633,plain,
( ~ c5_2(u,v)
| ~ c2_2(u,v)
| ~ c4_2(u,w)
| c10_2(u,v)
| c3_2(u,w)
| c5_2(u,w)
| c2_2(u,a39) ),
inference(spt,[],[1000]),
[iquote('67:Spt:1000.0,1000.1,1000.2,1000.4,1000.5,1000.6,1000.7')] ).
cnf(1585,plain,
( ~ c8_1(u)
| ~ c6_2(u,a67)
| c10_2(u,a67)
| c4_2(u,a111)
| c8_2(u,a92) ),
inference(obv,[status(thm),theory(equality)],[1582]),
[iquote('53:Obv:1582.0')] ).
cnf(1584,plain,
( ~ c8_1(u)
| ~ c6_2(u,a67)
| c10_2(u,a67)
| c5_2(u,a111)
| c8_2(u,a92) ),
inference(obv,[status(thm),theory(equality)],[1581]),
[iquote('53:Obv:1581.0')] ).
cnf(1576,plain,
( ~ c8_1(u)
| ~ c6_2(u,a67)
| c10_2(u,a67)
| c4_2(u,a111)
| c9_2(u,a92) ),
inference(obv,[status(thm),theory(equality)],[1573]),
[iquote('53:Obv:1573.0')] ).
cnf(1575,plain,
( ~ c8_1(u)
| ~ c6_2(u,a67)
| c10_2(u,a67)
| c5_2(u,a111)
| c9_2(u,a92) ),
inference(obv,[status(thm),theory(equality)],[1572]),
[iquote('53:Obv:1572.0')] ).
cnf(1236,plain,
( ~ c7_2(u,v)
| ~ c8_2(u,w)
| ~ c9_2(u,w)
| ~ c10_2(u,a42)
| c3_2(u,v)
| c2_2(u,v) ),
inference(mrr,[status(thm)],[1227,1215]),
[iquote('33:MRR:1227.4,1215.0')] ).
cnf(1564,plain,
( ~ c8_1(u)
| ~ c6_2(u,a67)
| c10_2(u,a67)
| c4_2(u,a111)
| c10_2(u,a92) ),
inference(obv,[status(thm),theory(equality)],[1561]),
[iquote('53:Obv:1561.0')] ).
cnf(1563,plain,
( ~ c8_1(u)
| ~ c6_2(u,a67)
| c10_2(u,a67)
| c5_2(u,a111)
| c10_2(u,a92) ),
inference(obv,[status(thm),theory(equality)],[1560]),
[iquote('53:Obv:1560.0')] ).
cnf(1619,plain,
c2_2(a3,a5),
inference(spt,[],[1617]),
[iquote('66:Spt:1617.2')] ).
cnf(1235,plain,
( ~ c7_2(u,v)
| ~ c8_2(u,w)
| ~ c9_2(u,w)
| c3_2(u,v)
| c2_2(u,v)
| c5_2(u,a42) ),
inference(mrr,[status(thm)],[1226,1215]),
[iquote('33:MRR:1226.3,1215.0')] ).
cnf(1532,plain,
( ~ c3_1(u)
| ~ c5_1(u)
| ~ c1_2(u,a132)
| c7_2(u,a132)
| c7_2(u,a76) ),
inference(res,[status(thm),theory(equality)],[1196,1298]),
[iquote('52:Res:1196.1,1298.1')] ).
cnf(1518,plain,
( ~ c3_1(u)
| ~ c5_1(u)
| ~ c1_2(u,a132)
| c7_2(u,a132)
| c6_2(u,a76) ),
inference(res,[status(thm),theory(equality)],[1196,1297]),
[iquote('52:Res:1196.1,1297.1')] ).
cnf(1509,plain,
( ~ c3_1(u)
| ~ c5_1(u)
| ~ c1_2(u,a132)
| c7_2(u,a132)
| c8_2(u,a76) ),
inference(res,[status(thm),theory(equality)],[1196,1296]),
[iquote('52:Res:1196.1,1296.1')] ).
cnf(1234,plain,
( ~ c7_2(u,v)
| ~ c8_2(u,w)
| ~ c9_2(u,w)
| c3_2(u,v)
| c2_2(u,v)
| c4_2(u,a42) ),
inference(mrr,[status(thm)],[1225,1215]),
[iquote('33:MRR:1225.3,1215.0')] ).
cnf(1506,plain,
( ~ c2_1(u)
| ~ c4_1(u)
| ~ c1_1(u)
| ~ c5_2(u,a70)
| c3_2(u,a118) ),
inference(mrr,[status(thm)],[1496,1194]),
[iquote('42:MRR:1496.4,1194.2')] ).
cnf(1494,plain,
( ~ c2_1(u)
| ~ c4_1(u)
| ~ c1_1(u)
| ~ c4_2(u,a70)
| c3_2(u,a118) ),
inference(mrr,[status(thm)],[1484,1194]),
[iquote('42:MRR:1484.4,1194.2')] ).
cnf(1482,plain,
( ~ c2_1(u)
| ~ c4_1(u)
| ~ c1_1(u)
| ~ c3_2(u,a70)
| c3_2(u,a118) ),
inference(mrr,[status(thm)],[1472,1194]),
[iquote('42:MRR:1472.4,1194.2')] ).
cnf(1580,plain,
( ~ c8_1(u)
| ~ c8_2(u,a67)
| ~ c6_2(u,a67)
| c8_2(u,a92) ),
inference(obv,[status(thm),theory(equality)],[1578]),
[iquote('50:Obv:1578.0')] ).
cnf(1293,plain,
( ~ c8_1(u)
| ~ c4_2(u,v)
| ~ c8_2(u,v)
| ~ c6_2(u,v)
| c8_2(u,a92) ),
inference(mrr,[status(thm)],[1111,1290]),
[iquote('50:MRR:1111.1,1290.0')] ).
cnf(1567,plain,
( ~ c3_1(a53)
| c6_2(a53,a62)
| ssskP3(a53)
| c7_2(a53,a62)
| c7_2(a53,a76)
| c7_1(a53) ),
inference(sor,[status(thm)],[1554,1167]),
[iquote('52:SoR:1554.0,1167.1')] ).
cnf(1566,plain,
( ~ c3_1(a53)
| c6_2(a53,a62)
| ssskP3(a53)
| c7_2(a53,a62)
| c6_2(a53,a76)
| c7_1(a53) ),
inference(sor,[status(thm)],[1543,1167]),
[iquote('52:SoR:1543.0,1167.1')] ).
cnf(1565,plain,
( ~ c3_1(a53)
| c6_2(a53,a62)
| ssskP3(a53)
| c7_2(a53,a62)
| c8_2(a53,a76)
| c7_1(a53) ),
inference(sor,[status(thm)],[1529,1167]),
[iquote('52:SoR:1529.0,1167.1')] ).
cnf(1571,plain,
( ~ c8_1(u)
| ~ c8_2(u,a67)
| ~ c6_2(u,a67)
| c9_2(u,a92) ),
inference(obv,[status(thm),theory(equality)],[1569]),
[iquote('50:Obv:1569.0')] ).
cnf(1292,plain,
( ~ c8_1(u)
| ~ c4_2(u,v)
| ~ c8_2(u,v)
| ~ c6_2(u,v)
| c9_2(u,a92) ),
inference(mrr,[status(thm)],[1110,1290]),
[iquote('50:MRR:1110.1,1290.0')] ).
cnf(1554,plain,
( ~ c8_1(a53)
| c6_2(a53,a62)
| ssskP3(a53)
| c7_2(a53,a62)
| c7_2(a53,a76)
| c7_1(a53) ),
inference(sor,[status(thm)],[1553,1186]),
[iquote('52:SoR:1553.0,1186.2')] ).
cnf(1543,plain,
( ~ c8_1(a53)
| c6_2(a53,a62)
| ssskP3(a53)
| c7_2(a53,a62)
| c6_2(a53,a76)
| c7_1(a53) ),
inference(sor,[status(thm)],[1542,1186]),
[iquote('52:SoR:1542.0,1186.2')] ).
cnf(1529,plain,
( ~ c8_1(a53)
| c6_2(a53,a62)
| ssskP3(a53)
| c7_2(a53,a62)
| c8_2(a53,a76)
| c7_1(a53) ),
inference(sor,[status(thm)],[1528,1186]),
[iquote('52:SoR:1528.0,1186.2')] ).
cnf(1559,plain,
( ~ c8_1(u)
| ~ c8_2(u,a67)
| ~ c6_2(u,a67)
| c10_2(u,a92) ),
inference(obv,[status(thm),theory(equality)],[1557]),
[iquote('50:Obv:1557.0')] ).
cnf(1291,plain,
( ~ c8_1(u)
| ~ c4_2(u,v)
| ~ c8_2(u,v)
| ~ c6_2(u,v)
| c10_2(u,a92) ),
inference(mrr,[status(thm)],[1109,1290]),
[iquote('50:MRR:1109.1,1290.0')] ).
cnf(1550,plain,
( ~ c1_1(u)
| ~ ssskP2(u)
| ~ c5_2(u,a61)
| c9_1(u)
| c7_2(u,a145) ),
inference(mrr,[status(thm)],[1546,1175]),
[iquote('65:MRR:1546.4,1175.1')] ).
cnf(1536,plain,
( ~ c5_1(u)
| ~ c1_2(u,a84)
| ssskP6(u)
| c7_2(u,a84)
| c7_2(u,a76) ),
inference(res,[status(thm),theory(equality)],[126,1298]),
[iquote('52:Res:126.1,1298.1')] ).
cnf(1553,plain,
( ~ c5_1(a53)
| c6_2(a53,a62)
| ssskP3(a53)
| c7_2(a53,a62)
| c7_2(a53,a76) ),
inference(obv,[status(thm),theory(equality)],[1552]),
[iquote('52:Obv:1552.1')] ).
cnf(1535,plain,
( ~ c5_1(u)
| ~ c1_2(u,a62)
| ssskP3(u)
| c7_2(u,a62)
| c7_2(u,a76) ),
inference(res,[status(thm),theory(equality)],[132,1298]),
[iquote('52:Res:132.1,1298.1')] ).
cnf(1545,plain,
( ~ ssskP2(u)
| ~ c1_2(u,v)
| ~ c5_2(u,a61)
| c5_2(u,v)
| c7_2(u,v) ),
inference(spt,[],[972]),
[iquote('65:Spt:972.0,972.1,972.2,972.4,972.5')] ).
cnf(1522,plain,
( ~ c5_1(u)
| ~ c1_2(u,a84)
| ssskP6(u)
| c7_2(u,a84)
| c6_2(u,a76) ),
inference(res,[status(thm),theory(equality)],[126,1297]),
[iquote('52:Res:126.1,1297.1')] ).
cnf(1542,plain,
( ~ c5_1(a53)
| c6_2(a53,a62)
| ssskP3(a53)
| c7_2(a53,a62)
| c6_2(a53,a76) ),
inference(obv,[status(thm),theory(equality)],[1541]),
[iquote('52:Obv:1541.1')] ).
cnf(1521,plain,
( ~ c5_1(u)
| ~ c1_2(u,a62)
| ssskP3(u)
| c7_2(u,a62)
| c6_2(u,a76) ),
inference(res,[status(thm),theory(equality)],[132,1297]),
[iquote('52:Res:132.1,1297.1')] ).
cnf(1298,plain,
( ~ c5_1(u)
| ~ c5_2(u,v)
| ~ c1_2(u,v)
| c7_2(u,v)
| c7_2(u,a76) ),
inference(mrr,[status(thm)],[1073,1295]),
[iquote('52:MRR:1073.1,1295.0')] ).
cnf(1513,plain,
( ~ c5_1(u)
| ~ c1_2(u,a84)
| ssskP6(u)
| c7_2(u,a84)
| c8_2(u,a76) ),
inference(res,[status(thm),theory(equality)],[126,1296]),
[iquote('52:Res:126.1,1296.1')] ).
cnf(1528,plain,
( ~ c5_1(a53)
| c6_2(a53,a62)
| ssskP3(a53)
| c7_2(a53,a62)
| c8_2(a53,a76) ),
inference(obv,[status(thm),theory(equality)],[1527]),
[iquote('52:Obv:1527.1')] ).
cnf(1512,plain,
( ~ c5_1(u)
| ~ c1_2(u,a62)
| ssskP3(u)
| c7_2(u,a62)
| c8_2(u,a76) ),
inference(res,[status(thm),theory(equality)],[132,1296]),
[iquote('52:Res:132.1,1296.1')] ).
cnf(1297,plain,
( ~ c5_1(u)
| ~ c5_2(u,v)
| ~ c1_2(u,v)
| c7_2(u,v)
| c6_2(u,a76) ),
inference(mrr,[status(thm)],[1072,1295]),
[iquote('52:MRR:1072.1,1295.0')] ).
cnf(1501,plain,
( ~ c1_1(u)
| ~ c5_2(u,a70)
| ssskP6(u)
| c2_2(u,a84)
| c3_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[126,1271]),
[iquote('42:Res:126.1,1271.1')] ).
cnf(1498,plain,
( ~ c1_1(u)
| ~ c5_2(u,a70)
| ssskP2(u)
| c2_2(u,a60)
| c3_2(u,a60) ),
inference(res,[status(thm),theory(equality)],[134,1271]),
[iquote('42:Res:134.1,1271.1')] ).
cnf(1489,plain,
( ~ c1_1(u)
| ~ c4_2(u,a70)
| ssskP6(u)
| c2_2(u,a84)
| c3_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[126,1270]),
[iquote('42:Res:126.1,1270.1')] ).
cnf(1296,plain,
( ~ c5_1(u)
| ~ c5_2(u,v)
| ~ c1_2(u,v)
| c7_2(u,v)
| c8_2(u,a76) ),
inference(mrr,[status(thm)],[1071,1295]),
[iquote('52:MRR:1071.1,1295.0')] ).
cnf(1486,plain,
( ~ c1_1(u)
| ~ c4_2(u,a70)
| ssskP2(u)
| c2_2(u,a60)
| c3_2(u,a60) ),
inference(res,[status(thm),theory(equality)],[134,1270]),
[iquote('42:Res:134.1,1270.1')] ).
cnf(1505,plain,
( ~ c3_1(u)
| ~ c5_2(u,a70)
| c2_2(u,a132)
| c3_2(u,a132) ),
inference(ssi,[status(thm)],[1497,1167,1163]),
[iquote('42:SSi:1497.1,1167.1,1163.1')] ).
cnf(1504,plain,
( ~ c1_1(u)
| ~ c5_2(u,a70)
| ssskP0(u)
| c2_2(u,a49) ),
inference(mrr,[status(thm)],[1499,231]),
[iquote('42:MRR:1499.4,231.0')] ).
cnf(1271,plain,
( ~ c1_1(u)
| ~ c5_2(u,v)
| ~ c5_2(u,a70)
| c2_2(u,v)
| c3_2(u,v) ),
inference(mrr,[status(thm)],[1152,1268]),
[iquote('42:MRR:1152.1,1268.0')] ).
cnf(1477,plain,
( ~ c1_1(u)
| ~ c3_2(u,a70)
| ssskP6(u)
| c2_2(u,a84)
| c3_2(u,a84) ),
inference(res,[status(thm),theory(equality)],[126,1269]),
[iquote('42:Res:126.1,1269.1')] ).
cnf(1493,plain,
( ~ c3_1(u)
| ~ c4_2(u,a70)
| c2_2(u,a132)
| c3_2(u,a132) ),
inference(ssi,[status(thm)],[1485,1167,1163]),
[iquote('42:SSi:1485.1,1167.1,1163.1')] ).
cnf(1492,plain,
( ~ c1_1(u)
| ~ c4_2(u,a70)
| ssskP0(u)
| c2_2(u,a49) ),
inference(mrr,[status(thm)],[1487,231]),
[iquote('42:MRR:1487.4,231.0')] ).
cnf(1270,plain,
( ~ c1_1(u)
| ~ c5_2(u,v)
| ~ c4_2(u,a70)
| c2_2(u,v)
| c3_2(u,v) ),
inference(mrr,[status(thm)],[1151,1268]),
[iquote('42:MRR:1151.1,1268.0')] ).
cnf(1474,plain,
( ~ c1_1(u)
| ~ c3_2(u,a70)
| ssskP2(u)
| c2_2(u,a60)
| c3_2(u,a60) ),
inference(res,[status(thm),theory(equality)],[134,1269]),
[iquote('42:Res:134.1,1269.1')] ).
cnf(1481,plain,
( ~ c3_1(u)
| ~ c3_2(u,a70)
| c2_2(u,a132)
| c3_2(u,a132) ),
inference(ssi,[status(thm)],[1473,1167,1163]),
[iquote('42:SSi:1473.1,1167.1,1163.1')] ).
cnf(1480,plain,
( ~ c1_1(u)
| ~ c3_2(u,a70)
| ssskP0(u)
| c2_2(u,a49) ),
inference(mrr,[status(thm)],[1475,231]),
[iquote('42:MRR:1475.4,231.0')] ).
cnf(1269,plain,
( ~ c1_1(u)
| ~ c5_2(u,v)
| ~ c3_2(u,a70)
| c2_2(u,v)
| c3_2(u,v) ),
inference(mrr,[status(thm)],[1150,1268]),
[iquote('42:MRR:1150.1,1268.0')] ).
cnf(1444,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)],[1167,1228]),
[iquote('33:Res:1167.1,1228.0')] ).
cnf(1457,plain,
( ~ c4_1(u)
| ~ c8_1(u)
| c10_2(u,a67)
| c5_2(u,a111)
| c7_2(u,a67) ),
inference(mrr,[status(thm)],[1456,1221]),
[iquote('53:MRR:1456.5,1221.1')] ).
cnf(1455,plain,
( ~ c4_1(u)
| ~ c8_1(u)
| c10_2(u,a67)
| c4_2(u,a111)
| c7_2(u,a67) ),
inference(mrr,[status(thm)],[1454,1221]),
[iquote('53:MRR:1454.5,1221.1')] ).
cnf(1465,plain,
( ~ c1_1(u)
| ~ ssskP2(u)
| c9_1(u)
| c7_2(u,a145)
| c9_2(u,a61) ),
inference(mrr,[status(thm)],[1461,1175]),
[iquote('64:MRR:1461.3,1175.1')] ).
cnf(1460,plain,
( ~ ssskP2(u)
| ~ c1_2(u,v)
| c5_2(u,v)
| c7_2(u,v)
| c9_2(u,a61) ),
inference(spt,[],[967]),
[iquote('64:Spt:967.0,967.1,967.3,967.4,967.5')] ).
cnf(1233,plain,
( ~ c4_1(u)
| ~ c8_1(u)
| ~ c8_2(u,v)
| c7_2(u,v)
| c2_2(u,v) ),
inference(mrr,[status(thm)],[1203,1215]),
[iquote('33:MRR:1203.3,1215.0')] ).
cnf(1229,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)],[974,1223]),
[iquote('33:MRR:974.0,1223.0')] ).
cnf(1228,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)],[973,1223]),
[iquote('33:MRR:973.0,1223.0')] ).
cnf(1420,plain,
( ~ c4_1(u)
| ~ c3_2(u,a111)
| c5_1(u)
| c8_2(u,a138)
| c10_2(u,a138) ),
inference(res,[status(thm),theory(equality)],[1170,1304]),
[iquote('53:Res:1170.2,1304.0')] ).
cnf(1415,plain,
( ~ c4_1(u)
| c5_1(u)
| c8_2(u,a138)
| c10_2(u,a138)
| c5_2(u,a111) ),
inference(res,[status(thm),theory(equality)],[1170,1303]),
[iquote('53:Res:1170.2,1303.0')] ).
cnf(1407,plain,
( ~ c4_1(u)
| c5_1(u)
| c8_2(u,a138)
| c10_2(u,a138)
| c4_2(u,a111) ),
inference(res,[status(thm),theory(equality)],[1170,1302]),
[iquote('53:Res:1170.2,1302.0')] ).
cnf(1438,plain,
( ~ c3_1(a29)
| ~ c6_2(a29,a30)
| c6_1(a29)
| c1_2(a29,a30) ),
inference(res,[status(thm),theory(equality)],[1179,1214]),
[iquote('33:Res:1179.0,1214.1')] ).
cnf(1214,plain,
( ~ c3_1(u)
| ~ c8_2(u,v)
| ~ c6_2(u,v)
| c6_1(u)
| c1_2(u,v) ),
inference(mrr,[status(thm)],[1070,1207]),
[iquote('33:MRR:1070.1,1207.0')] ).
cnf(1435,plain,
( ~ ssskP1(a53)
| c9_1(a53)
| c5_1(a53)
| c7_1(a53)
| c7_2(a53,a58) ),
inference(mrr,[status(thm)],[1434,1201]),
[iquote('32:MRR:1434.5,1201.1')] ).
cnf(1431,plain,
( ~ ssskP1(u)
| c9_1(u)
| c5_1(u)
| c7_1(u)
| c10_2(u,a58) ),
inference(mrr,[status(thm)],[1427,1201]),
[iquote('32:MRR:1427.5,1201.1')] ).
cnf(1433,plain,
( ssskP5(a53)
| c5_1(a53)
| c7_1(a53)
| c7_2(a53,a79)
| c4_2(a53,a79) ),
inference(obv,[status(thm),theory(equality)],[1432]),
[iquote('22:Obv:1432.3')] ).
cnf(1428,plain,
( ssskP5(u)
| c5_1(u)
| c7_1(u)
| c10_2(u,a79)
| c4_2(u,a79) ),
inference(res,[status(thm),theory(equality)],[127,1112]),
[iquote('4:Res:127.1,1112.0')] ).
cnf(1112,plain,
( ~ c2_2(u,v)
| c5_1(u)
| c7_1(u)
| c10_2(u,v)
| c4_2(u,v) ),
inference(mrr,[status(thm)],[1090,1099]),
[iquote('4:MRR:1090.0,1099.0')] ).
cnf(1426,plain,
ssskP2(a44),
inference(spt,[],[1411]),
[iquote('63:Spt:1411.0')] ).
cnf(1421,plain,
( ~ c8_1(u)
| ~ c3_2(u,a111)
| c8_2(u,a67)
| c10_2(u,a67) ),
inference(res,[status(thm),theory(equality)],[1216,1304]),
[iquote('53:Res:1216.1,1304.0')] ).
cnf(1416,plain,
( ~ c8_1(u)
| c8_2(u,a67)
| c10_2(u,a67)
| c5_2(u,a111) ),
inference(res,[status(thm),theory(equality)],[1216,1303]),
[iquote('53:Res:1216.1,1303.0')] ).
cnf(1425,plain,
ssskP0(a44),
inference(spt,[],[1418]),
[iquote('62:Spt:1418.0')] ).
cnf(1304,plain,
( ~ c4_2(u,v)
| ~ c3_2(u,a111)
| c8_2(u,v)
| c10_2(u,v) ),
inference(mrr,[status(thm)],[964,1301]),
[iquote('53:MRR:964.2,1301.0')] ).
cnf(1303,plain,
( ~ c4_2(u,v)
| c8_2(u,v)
| c10_2(u,v)
| c5_2(u,a111) ),
inference(mrr,[status(thm)],[960,1301]),
[iquote('53:MRR:960.1,1301.0')] ).
cnf(1408,plain,
( ~ c8_1(u)
| c8_2(u,a67)
| c10_2(u,a67)
| c4_2(u,a111) ),
inference(res,[status(thm),theory(equality)],[1216,1302]),
[iquote('53:Res:1216.1,1302.0')] ).
cnf(1414,plain,
ssskP6(a44),
inference(spt,[],[1413]),
[iquote('61:Spt:1413.0')] ).
cnf(1302,plain,
( ~ c4_2(u,v)
| c8_2(u,v)
| c10_2(u,v)
| c4_2(u,a111) ),
inference(mrr,[status(thm)],[959,1301]),
[iquote('53:MRR:959.1,1301.0')] ).
cnf(1390,plain,
( ~ c3_1(a134)
| ~ c2_2(a134,a132)
| ~ c7_2(a134,a132) ),
inference(res,[status(thm),theory(equality)],[1196,1098]),
[iquote('27:Res:1196.1,1098.0')] ).
cnf(1383,plain,
( ~ ssskP5(a53)
| c7_1(a53)
| c6_2(a53,a80)
| c1_2(a53,a80) ),
inference(res,[status(thm),theory(equality)],[1212,1185]),
[iquote('33:Res:1212.2,1185.0')] ).
cnf(1380,plain,
( ~ ssskP1(a53)
| c9_1(a53)
| c6_2(a53,a58)
| c1_2(a53,a58) ),
inference(res,[status(thm),theory(equality)],[1200,1185]),
[iquote('31:Res:1200.2,1185.0')] ).
cnf(1399,plain,
( ~ ssskC13
| ssskP1(a59)
| c9_2(a59,a57)
| c8_2(a59,a57) ),
inference(res,[status(thm),theory(equality)],[135,1126]),
[iquote('7:Res:135.1,1126.1')] ).
cnf(1210,plain,
( ~ c4_2(a51,u)
| ~ c1_2(a51,u)
| ~ c9_2(a51,u) ),
inference(mrr,[status(thm)],[1145,1202]),
[iquote('33:MRR:1145.0,1202.0')] ).
cnf(1398,plain,
( ~ ssskC13
| ssskP0(a59)
| c9_2(a59,a49)
| c8_2(a59,a49) ),
inference(res,[status(thm),theory(equality)],[139,1126]),
[iquote('7:Res:139.1,1126.1')] ).
cnf(1403,plain,
( ~ ssskC13
| c9_2(a59,a133)
| c7_1(a59) ),
inference(sor,[status(thm)],[1402,1115]),
[iquote('33:SoR:1402.0,1115.1')] ).
cnf(1402,plain,
( ~ c6_1(a59)
| ~ ssskC13
| c9_2(a59,a133) ),
inference(mrr,[status(thm)],[1400,1219]),
[iquote('33:MRR:1400.3,1219.1')] ).
cnf(1401,plain,
( ~ ssskC13
| ssskP2(a59)
| c8_2(a59,a60) ),
inference(mrr,[status(thm)],[1397,228]),
[iquote('7:MRR:1397.2,228.0')] ).
cnf(1126,plain,
( ~ ssskC13
| ~ c7_2(a59,u)
| c9_2(a59,u)
| c8_2(a59,u) ),
inference(mrr,[status(thm)],[1047,1123]),
[iquote('7:MRR:1047.0,1123.0')] ).
cnf(1394,plain,
( ~ c2_2(a134,a84)
| ~ c7_2(a134,a84)
| ssskP6(a134) ),
inference(res,[status(thm),theory(equality)],[126,1098]),
[iquote('3:Res:126.1,1098.0')] ).
cnf(1396,plain,
( ~ c2_2(a134,a49)
| ssskP0(a134) ),
inference(mrr,[status(thm)],[1392,139]),
[iquote('3:MRR:1392.1,139.1')] ).
cnf(1395,plain,
( ~ c2_2(a134,a60)
| ssskP2(a134) ),
inference(mrr,[status(thm)],[1391,133]),
[iquote('3:MRR:1391.1,133.1')] ).
cnf(1098,plain,
( ~ c5_2(a134,u)
| ~ c2_2(a134,u)
| ~ c7_2(a134,u) ),
inference(mrr,[status(thm)],[1065,1075]),
[iquote('3:MRR:1065.0,1075.0')] ).
cnf(1388,plain,
( ~ c3_1(a127)
| ~ c7_2(a127,a67)
| c10_2(a127,a67) ),
inference(sor,[status(thm)],[1385,1167]),
[iquote('33:SoR:1385.0,1167.1')] ).
cnf(1385,plain,
( ~ c8_1(a127)
| ~ c7_2(a127,a67)
| c10_2(a127,a67) ),
inference(res,[status(thm),theory(equality)],[1216,1161]),
[iquote('33:Res:1216.1,1161.0')] ).
cnf(1387,plain,
( ~ c7_2(a127,a138)
| c5_1(a127)
| c10_2(a127,a138) ),
inference(ssi,[status(thm)],[1384,1159]),
[iquote('16:SSi:1384.0,1159.0')] ).
cnf(1381,plain,
( ssskP3(a53)
| c6_2(a53,a62)
| c1_2(a53,a62) ),
inference(res,[status(thm),theory(equality)],[131,1185]),
[iquote('22:Res:131.1,1185.0')] ).
cnf(1161,plain,
( ~ c4_2(a127,u)
| ~ c7_2(a127,u)
| c10_2(a127,u) ),
inference(mrr,[status(thm)],[1089,1128]),
[iquote('7:MRR:1089.2,1128.0')] ).
cnf(1185,plain,
( ~ c3_2(a53,u)
| c6_2(a53,u)
| c1_2(a53,u) ),
inference(mrr,[status(thm)],[1087,1176]),
[iquote('22:MRR:1087.0,1176.0')] ).
cnf(1373,plain,
( ~ c2_1(a44)
| c3_2(a44,a118)
| c4_2(a44,a118) ),
inference(ssi,[status(thm)],[1365,1091,1092]),
[iquote('23:SSi:1365.1,1091.0,1092.0')] ).
cnf(1378,plain,
( ~ ssskP5(a53)
| c7_1(a53)
| c7_2(a53,a80) ),
inference(mrr,[status(thm)],[1376,1195]),
[iquote('33:MRR:1376.3,1195.1')] ).
cnf(1184,plain,
( ~ c10_2(a53,u)
| c7_2(a53,u)
| c4_2(a53,u) ),
inference(mrr,[status(thm)],[1086,1176]),
[iquote('22:MRR:1086.0,1176.0')] ).
cnf(1375,plain,
c3_2(a44,a132),
inference(ssi,[status(thm)],[1374,1091,1092]),
[iquote('28:SSi:1374.0,1091.0,1092.0')] ).
cnf(1097,plain,
( ~ c5_2(a44,u)
| c3_2(a44,u)
| c4_2(a44,u) ),
inference(mrr,[status(thm)],[1066,1075]),
[iquote('3:MRR:1066.0,1075.0')] ).
cnf(1288,plain,
( ~ c6_1(u)
| ~ c9_2(u,a89)
| c4_1(u) ),
inference(mrr,[status(thm)],[1144,1285]),
[iquote('48:MRR:1144.1,1285.0')] ).
cnf(1362,plain,
( c7_2(a18,a84)
| c4_2(a18,a84)
| ssskP6(a18) ),
inference(res,[status(thm),theory(equality)],[1280,220]),
[iquote('45:Res:1280.2,220.0')] ).
cnf(1280,plain,
( c7_2(a18,u)
| c4_2(a18,u)
| c8_2(a18,u) ),
inference(mrr,[status(thm)],[1088,1277]),
[iquote('45:MRR:1088.0,1277.0')] ).
cnf(1359,plain,
( ~ c3_1(a122)
| c3_2(a122,a67)
| c10_2(a122,a67) ),
inference(sor,[status(thm)],[1357,1167]),
[iquote('33:SoR:1357.0,1167.1')] ).
cnf(1357,plain,
( ~ c8_1(a122)
| c3_2(a122,a67)
| c10_2(a122,a67) ),
inference(res,[status(thm),theory(equality)],[1232,1220]),
[iquote('33:Res:1232.0,1220.1')] ).
cnf(1358,plain,
( c3_2(a122,a138)
| c10_2(a122,a138)
| c5_1(a122) ),
inference(ssi,[status(thm)],[1356,1230,1231]),
[iquote('33:SSi:1356.0,1230.0,1231.0')] ).
cnf(1232,plain,
( c1_2(a122,u)
| c3_2(a122,u)
| c10_2(a122,u) ),
inference(mrr,[status(thm)],[1148,1224]),
[iquote('33:MRR:1148.0,1224.0')] ).
cnf(1287,plain,
( ~ c6_1(u)
| c4_1(u)
| c10_2(u,a89) ),
inference(mrr,[status(thm)],[1143,1285]),
[iquote('48:MRR:1143.1,1285.0')] ).
cnf(1286,plain,
( ~ c6_1(u)
| c4_1(u)
| c4_2(u,a89) ),
inference(mrr,[status(thm)],[1142,1285]),
[iquote('48:MRR:1142.1,1285.0')] ).
cnf(1213,plain,
( ~ ssskP5(u)
| c7_1(u)
| c10_2(u,a80) ),
inference(mrr,[status(thm)],[553,1207]),
[iquote('33:MRR:553.1,1207.0')] ).
cnf(1212,plain,
( ~ ssskP5(u)
| c7_1(u)
| c3_2(u,a80) ),
inference(mrr,[status(thm)],[552,1207]),
[iquote('33:MRR:552.1,1207.0')] ).
cnf(1221,plain,
( ~ c8_1(u)
| ~ c2_2(u,a67) ),
inference(mrr,[status(thm)],[1169,1211]),
[iquote('33:MRR:1169.1,1211.0')] ).
cnf(1186,plain,
( ~ c8_1(u)
| c7_1(u)
| c5_1(u) ),
inference(mrr,[status(thm)],[1106,1176]),
[iquote('22:MRR:1106.1,1176.0')] ).
cnf(1220,plain,
( ~ c8_1(u)
| ~ c1_2(u,a67) ),
inference(mrr,[status(thm)],[1168,1211]),
[iquote('33:MRR:1168.1,1211.0')] ).
cnf(1219,plain,
( ~ c6_1(u)
| ~ c8_2(u,a133) ),
inference(mrr,[status(thm)],[1166,1211]),
[iquote('33:MRR:1166.0,1211.0')] ).
cnf(1218,plain,
( ~ c6_1(u)
| ~ c4_2(u,a133) ),
inference(mrr,[status(thm)],[1165,1211]),
[iquote('33:MRR:1165.0,1211.0')] ).
cnf(1352,plain,
~ c6_2(a22,a24),
inference(ems,[status(thm)],[1250,1279]),
[iquote('45:EmS:1250.0,1279.0')] ).
cnf(1348,plain,
~ c1_2(a22,a24),
inference(ems,[status(thm)],[1249,1279]),
[iquote('45:EmS:1249.0,1279.0')] ).
cnf(1217,plain,
( ~ c6_1(u)
| c7_2(u,a133) ),
inference(mrr,[status(thm)],[1164,1211]),
[iquote('33:MRR:1164.0,1211.0')] ).
cnf(1344,plain,
~ c2_2(a22,a24),
inference(ems,[status(thm)],[1248,1279]),
[iquote('45:EmS:1248.0,1279.0')] ).
cnf(1216,plain,
( ~ c8_1(u)
| c4_2(u,a67) ),
inference(mrr,[status(thm)],[1162,1211]),
[iquote('33:MRR:1162.1,1211.0')] ).
cnf(220,axiom,
( ~ c8_2(u,a84)
| ssskP6(u) ),
file('SYN418-1.p',unknown),
[] ).
cnf(231,axiom,
( ~ c3_2(u,a49)
| ssskP0(u) ),
file('SYN418-1.p',unknown),
[] ).
cnf(230,axiom,
( ~ c4_2(u,a57)
| ssskP1(u) ),
file('SYN418-1.p',unknown),
[] ).
cnf(229,axiom,
( ~ c5_2(u,a57)
| ssskP1(u) ),
file('SYN418-1.p',unknown),
[] ).
cnf(219,axiom,
( ~ c9_2(u,a85)
| ssskP7(u) ),
file('SYN418-1.p',unknown),
[] ).
cnf(227,axiom,
( ~ c9_2(u,a62)
| ssskP3(u) ),
file('SYN418-1.p',unknown),
[] ).
cnf(221,axiom,
( ~ c8_2(u,a79)
| ssskP5(u) ),
file('SYN418-1.p',unknown),
[] ).
cnf(226,axiom,
( ~ c9_2(u,a64)
| ssskP4(u) ),
file('SYN418-1.p',unknown),
[] ).
cnf(228,axiom,
( ~ c9_2(u,a60)
| ssskP2(u) ),
file('SYN418-1.p',unknown),
[] ).
cnf(225,axiom,
( ~ c6_2(u,a64)
| ssskP4(u) ),
file('SYN418-1.p',unknown),
[] ).
cnf(1343,plain,
~ c1_2(a3,a5),
inference(spt,[],[1342,1259]),
[iquote('60:Spt:1342.0,1259.0')] ).
cnf(1340,plain,
~ c3_2(a3,a5),
inference(spt,[],[1339,1258]),
[iquote('59:Spt:1339.0,1258.0')] ).
cnf(1331,plain,
c2_2(a22,a23),
inference(ems,[status(thm)],[1247,1279]),
[iquote('45:EmS:1247.0,1279.0')] ).
cnf(1337,plain,
~ c3_2(a3,a4),
inference(spt,[],[1336,1257]),
[iquote('58:Spt:1336.0,1257.0')] ).
cnf(1327,plain,
c7_2(a22,a23),
inference(ems,[status(thm)],[1246,1279]),
[iquote('45:EmS:1246.0,1279.0')] ).
cnf(1323,plain,
c10_2(a22,a23),
inference(ems,[status(thm)],[1245,1279]),
[iquote('45:EmS:1245.0,1279.0')] ).
cnf(135,axiom,
( ssskP1(u)
| c7_2(u,a57) ),
file('SYN418-1.p',unknown),
[] ).
cnf(139,axiom,
( ssskP0(u)
| c7_2(u,a49) ),
file('SYN418-1.p',unknown),
[] ).
cnf(133,axiom,
( ssskP2(u)
| c7_2(u,a60) ),
file('SYN418-1.p',unknown),
[] ).
cnf(124,axiom,
( ssskP7(u)
| c3_2(u,a85) ),
file('SYN418-1.p',unknown),
[] ).
cnf(131,axiom,
( ssskP3(u)
| c3_2(u,a62) ),
file('SYN418-1.p',unknown),
[] ).
cnf(127,axiom,
( ssskP5(u)
| c2_2(u,a79) ),
file('SYN418-1.p',unknown),
[] ).
cnf(126,axiom,
( ssskP6(u)
| c5_2(u,a84) ),
file('SYN418-1.p',unknown),
[] ).
cnf(132,axiom,
( ssskP3(u)
| c5_2(u,a62) ),
file('SYN418-1.p',unknown),
[] ).
cnf(138,axiom,
( ssskP0(u)
| c5_2(u,a49) ),
file('SYN418-1.p',unknown),
[] ).
cnf(134,axiom,
( ssskP2(u)
| c5_2(u,a60) ),
file('SYN418-1.p',unknown),
[] ).
cnf(125,axiom,
( ssskP6(u)
| c9_2(u,a84) ),
file('SYN418-1.p',unknown),
[] ).
cnf(123,axiom,
( ssskP7(u)
| c6_2(u,a85) ),
file('SYN418-1.p',unknown),
[] ).
cnf(1322,plain,
c7_2(a3,a5),
inference(spt,[],[1321,1256]),
[iquote('57:Spt:1321.0,1256.1')] ).
cnf(1319,plain,
c1_2(a3,a4),
inference(spt,[],[1318,1255]),
[iquote('56:Spt:1318.0,1255.1')] ).
cnf(1316,plain,
c5_2(a3,a4),
inference(spt,[],[1315,1254]),
[iquote('55:Spt:1315.0,1254.1')] ).
cnf(1313,plain,
~ c3_1(a3),
inference(sor,[status(thm)],[1312,1167]),
[iquote('54:SoR:1312.0,1167.1')] ).
cnf(1312,plain,
~ c8_1(a3),
inference(res,[status(thm),theory(equality)],[1163,1311]),
[iquote('54:Res:1163.1,1311.0')] ).
cnf(1311,plain,
~ c1_1(a3),
inference(spt,[],[1310,1253]),
[iquote('54:Spt:1310.0,1253.0')] ).
cnf(1305,plain,
c8_1(a22),
inference(ems,[status(thm)],[1244,1279]),
[iquote('45:EmS:1244.0,1279.0')] ).
cnf(1125,plain,
( ~ ssskC13
| ~ c9_1(a59) ),
inference(mrr,[status(thm)],[282,1123]),
[iquote('7:MRR:282.0,1123.0')] ).
cnf(1265,plain,
~ c2_2(a102,a103),
inference(mrr,[status(thm)],[1141,1261]),
[iquote('39:MRR:1141.0,1261.0')] ).
cnf(1264,plain,
~ c4_2(a102,a103),
inference(mrr,[status(thm)],[1140,1261]),
[iquote('39:MRR:1140.0,1261.0')] ).
cnf(1263,plain,
~ c6_2(a102,a103),
inference(mrr,[status(thm)],[1139,1261]),
[iquote('39:MRR:1139.0,1261.0')] ).
cnf(1242,plain,
~ c6_2(a33,a34),
inference(mrr,[status(thm)],[239,1237]),
[iquote('34:MRR:239.1,1237.0')] ).
cnf(1241,plain,
~ c5_2(a33,a34),
inference(mrr,[status(thm)],[240,1237]),
[iquote('34:MRR:240.1,1237.0')] ).
cnf(1183,plain,
~ c3_2(a53,a54),
inference(mrr,[status(thm)],[1083,1176]),
[iquote('22:MRR:1083.0,1176.0')] ).
cnf(1181,plain,
~ c5_2(a29,a30),
inference(mrr,[status(thm)],[1059,1176]),
[iquote('22:MRR:1059.0,1176.0')] ).
cnf(1180,plain,
~ c4_2(a29,a30),
inference(mrr,[status(thm)],[1058,1176]),
[iquote('22:MRR:1058.0,1176.0')] ).
cnf(1133,plain,
~ c5_2(a136,a137),
inference(mrr,[status(thm)],[1105,1123]),
[iquote('7:MRR:1105.0,1123.0')] ).
cnf(1132,plain,
~ c10_2(a136,a137),
inference(mrr,[status(thm)],[1104,1123]),
[iquote('7:MRR:1104.0,1123.0')] ).
cnf(1096,plain,
~ c8_2(a134,a135),
inference(mrr,[status(thm)],[1061,1075]),
[iquote('3:MRR:1061.0,1075.0')] ).
cnf(1095,plain,
~ c6_2(a134,a135),
inference(mrr,[status(thm)],[1060,1075]),
[iquote('3:MRR:1060.0,1075.0')] ).
cnf(1299,plain,
~ c3_1(a136),
inference(res,[status(thm),theory(equality)],[1167,1130]),
[iquote('13:Res:1167.1,1130.0')] ).
cnf(1301,plain,
~ ssskC23,
inference(spt,[],[1080]),
[iquote('53:Spt:1080.0')] ).
cnf(1300,plain,
c7_1(a6),
inference(res,[status(thm),theory(equality)],[1115,1284]),
[iquote('47:Res:1115.1,1284.0')] ).
cnf(1284,plain,
~ c6_1(a6),
inference(mrr,[status(thm)],[161,1282]),
[iquote('47:MRR:161.1,1282.0')] ).
cnf(1283,plain,
~ c4_1(a6),
inference(mrr,[status(thm)],[162,1282]),
[iquote('47:MRR:162.1,1282.0')] ).
cnf(1240,plain,
c10_2(a33,a34),
inference(mrr,[status(thm)],[147,1237]),
[iquote('34:MRR:147.0,1237.0')] ).
cnf(1182,plain,
c9_2(a53,a54),
inference(mrr,[status(thm)],[1081,1176]),
[iquote('22:MRR:1081.0,1176.0')] ).
cnf(1179,plain,
c8_2(a29,a30),
inference(mrr,[status(thm)],[1056,1176]),
[iquote('22:MRR:1056.0,1176.0')] ).
cnf(1178,plain,
~ c7_1(a29),
inference(mrr,[status(thm)],[1055,1176]),
[iquote('22:MRR:1055.0,1176.0')] ).
cnf(1160,plain,
~ c2_1(a127),
inference(mrr,[status(thm)],[1077,1128]),
[iquote('7:MRR:1077.1,1128.0')] ).
cnf(1131,plain,
c2_2(a136,a137),
inference(mrr,[status(thm)],[1103,1123]),
[iquote('7:MRR:1103.0,1123.0')] ).
cnf(1130,plain,
~ c8_1(a136),
inference(mrr,[status(thm)],[1102,1123]),
[iquote('7:MRR:1102.0,1123.0')] ).
cnf(1094,plain,
c3_2(a134,a135),
inference(mrr,[status(thm)],[1057,1075]),
[iquote('3:MRR:1057.0,1075.0')] ).
cnf(1211,plain,
c10_1(u),
inference(mrr,[status(thm)],[1187,1202]),
[iquote('33:MRR:1187.0,1202.0')] ).
cnf(1279,plain,
c6_1(a18),
inference(mrr,[status(thm)],[1079,1277]),
[iquote('45:MRR:1079.0,1277.0')] ).
cnf(1278,plain,
c3_1(a18),
inference(mrr,[status(thm)],[1078,1277]),
[iquote('45:MRR:1078.0,1277.0')] ).
cnf(1262,plain,
c4_1(a102),
inference(mrr,[status(thm)],[1137,1261]),
[iquote('39:MRR:1137.0,1261.0')] ).
cnf(1239,plain,
c3_1(a33),
inference(mrr,[status(thm)],[66,1237]),
[iquote('34:MRR:66.0,1237.0')] ).
cnf(1238,plain,
c6_1(a33),
inference(mrr,[status(thm)],[67,1237]),
[iquote('34:MRR:67.0,1237.0')] ).
cnf(1231,plain,
c9_1(a122),
inference(mrr,[status(thm)],[1147,1224]),
[iquote('33:MRR:1147.0,1224.0')] ).
cnf(1230,plain,
c4_1(a122),
inference(mrr,[status(thm)],[1146,1224]),
[iquote('33:MRR:1146.0,1224.0')] ).
cnf(1215,plain,
~ c9_0,
inference(mrr,[status(thm)],[1134,1207]),
[iquote('33:MRR:1134.1,1207.0')] ).
cnf(1209,plain,
c6_1(a51),
inference(mrr,[status(thm)],[1136,1202]),
[iquote('33:MRR:1136.0,1202.0')] ).
cnf(1208,plain,
c2_1(a51),
inference(mrr,[status(thm)],[1135,1202]),
[iquote('33:MRR:1135.0,1202.0')] ).
cnf(1177,plain,
c9_1(a29),
inference(mrr,[status(thm)],[1051,1176]),
[iquote('22:MRR:1051.0,1176.0')] ).
cnf(1159,plain,
c4_1(a127),
inference(mrr,[status(thm)],[1076,1128]),
[iquote('7:MRR:1076.0,1128.0')] ).
cnf(1129,plain,
c7_1(a136),
inference(mrr,[status(thm)],[1100,1123]),
[iquote('7:MRR:1100.0,1123.0')] ).
cnf(1128,plain,
~ c3_0,
inference(mrr,[status(thm)],[1074,1123]),
[iquote('7:MRR:1074.1,1123.0')] ).
cnf(1295,plain,
ssskC17,
inference(spt,[],[129]),
[iquote('52:Spt:129.1')] ).
cnf(1127,plain,
~ c4_0,
inference(mrr,[status(thm)],[1050,1123]),
[iquote('7:MRR:1050.0,1123.0')] ).
cnf(1294,plain,
ssskC15,
inference(spt,[],[57]),
[iquote('51:Spt:57.0')] ).
cnf(1290,plain,
ssskC19,
inference(spt,[],[119]),
[iquote('50:Spt:119.0')] ).
cnf(1092,plain,
c4_1(a44),
inference(mrr,[status(thm)],[1053,1075]),
[iquote('3:MRR:1053.0,1075.0')] ).
cnf(1289,plain,
ssskC3,
inference(spt,[],[156]),
[iquote('49:Spt:156.0')] ).
cnf(1285,plain,
ssskC18,
inference(spt,[],[122]),
[iquote('48:Spt:122.1')] ).
cnf(1282,plain,
~ ssskC1,
inference(spt,[],[39]),
[iquote('47:Spt:39.0')] ).
cnf(1224,plain,
ssskC25,
inference(mrr,[status(thm)],[115,1211]),
[iquote('33:MRR:115.0,1211.0')] ).
cnf(1281,plain,
ssskC2,
inference(spt,[],[159]),
[iquote('46:Spt:159.0')] ).
cnf(1277,plain,
ssskC4,
inference(spt,[],[154]),
[iquote('45:Spt:154.0')] ).
cnf(1273,plain,
ssskC8,
inference(spt,[],[145]),
[iquote('44:Spt:145.0')] ).
cnf(1223,plain,
ssskC12,
inference(mrr,[status(thm)],[137,1211]),
[iquote('33:MRR:137.0,1211.0')] ).
cnf(1272,plain,
ssskC20,
inference(spt,[],[48]),
[iquote('43:Spt:48.0')] ).
cnf(1268,plain,
ssskC16,
inference(spt,[],[55]),
[iquote('42:Spt:55.0')] ).
cnf(1267,plain,
ssskC26,
inference(spt,[],[111]),
[iquote('41:Spt:111.0')] ).
cnf(1222,plain,
ssskC10,
inference(mrr,[status(thm)],[143,1211]),
[iquote('33:MRR:143.0,1211.0')] ).
cnf(1266,plain,
ssskC6,
inference(spt,[],[148]),
[iquote('40:Spt:148.0')] ).
cnf(1261,plain,
ssskC21,
inference(spt,[],[46]),
[iquote('39:Spt:46.0')] ).
cnf(1260,plain,
ssskC11,
inference(spt,[],[141]),
[iquote('38:Spt:141.0')] ).
cnf(1252,plain,
ssskC0,
inference(spt,[],[76]),
[iquote('37:Spt:76.0')] ).
cnf(1251,plain,
ssskC22,
inference(spt,[],[44]),
[iquote('36:Spt:44.0')] ).
cnf(1207,plain,
c7_0,
inference(mrr,[status(thm)],[1124,1202]),
[iquote('33:MRR:1124.0,1202.0')] ).
cnf(1243,plain,
ssskC5,
inference(spt,[],[70]),
[iquote('35:Spt:70.0')] ).
cnf(1237,plain,
~ ssskC7,
inference(spt,[],[104]),
[iquote('34:Spt:104.0')] ).
cnf(1202,plain,
c6_0,
inference(spt,[],[171]),
[iquote('33:Spt:171.1')] ).
cnf(1201,plain,
( ~ ssskP1(u)
| ~ c4_2(u,a58)
| c9_1(u) ),
inference(spt,[],[547]),
[iquote('32:Spt:547.0,547.1,547.3')] ).
cnf(1200,plain,
( ~ ssskP1(u)
| c9_1(u)
| c3_2(u,a58) ),
inference(spt,[],[539]),
[iquote('31:Spt:539.0,539.2,539.3')] ).
cnf(1199,plain,
( ~ ssskP1(u)
| c9_1(u)
| c2_2(u,a58) ),
inference(spt,[],[538]),
[iquote('30:Spt:538.0,538.2,538.3')] ).
cnf(1091,plain,
c3_1(a44),
inference(mrr,[status(thm)],[1052,1075]),
[iquote('3:MRR:1052.0,1075.0')] ).
cnf(1198,plain,
( ~ c3_1(u)
| ~ c8_2(u,a132) ),
inference(spt,[],[518]),
[iquote('29:Spt:518.0,518.1')] ).
cnf(1197,plain,
( ~ c3_1(u)
| ~ c4_2(u,a132) ),
inference(spt,[],[519]),
[iquote('28:Spt:519.0,519.1')] ).
cnf(1196,plain,
( ~ c3_1(u)
| c5_2(u,a132) ),
inference(spt,[],[513]),
[iquote('27:Spt:513.0,513.2')] ).
cnf(1195,plain,
( ~ ssskP5(u)
| ~ c4_2(u,a80)
| c7_1(u) ),
inference(spt,[],[563]),
[iquote('26:Spt:563.0,563.2,563.3')] ).
cnf(1194,plain,
( ~ c2_1(u)
| ~ c4_1(u)
| ~ c2_2(u,a118) ),
inference(spt,[],[557]),
[iquote('25:Spt:557.0,557.1,557.2')] ).
cnf(1193,plain,
( ~ c2_1(u)
| ~ c4_1(u)
| ~ c9_2(u,a118) ),
inference(spt,[],[556]),
[iquote('24:Spt:556.0,556.1,556.2')] ).
cnf(1192,plain,
( ~ c2_1(u)
| ~ c4_1(u)
| c5_2(u,a118) ),
inference(spt,[],[542]),
[iquote('23:Spt:542.0,542.1,542.3')] ).
cnf(1176,plain,
c5_0,
inference(spt,[],[261]),
[iquote('22:Spt:261.2')] ).
cnf(1175,plain,
( ~ c1_1(u)
| ~ c5_2(u,a145)
| c9_1(u) ),
inference(spt,[],[545]),
[iquote('21:Spt:545.0,545.1,545.3')] ).
cnf(1174,plain,
( ~ c1_1(u)
| c9_1(u)
| c3_2(u,a145) ),
inference(spt,[],[534]),
[iquote('20:Spt:534.0,534.2,534.3')] ).
cnf(1173,plain,
( ~ c1_1(u)
| c9_1(u)
| c1_2(u,a145) ),
inference(spt,[],[533]),
[iquote('19:Spt:533.0,533.2,533.3')] ).
cnf(505,plain,
ndr1_0,
inference(mrr,[status(thm)],[1,24]),
[iquote('0:MRR:1.0,24.1')] ).
cnf(1172,plain,
( ~ c4_1(u)
| ~ c1_2(u,a138)
| c5_1(u) ),
inference(spt,[],[543]),
[iquote('18:Spt:543.0,543.1,543.3')] ).
cnf(1171,plain,
( ~ c4_1(u)
| ~ c6_2(u,a138)
| c5_1(u) ),
inference(spt,[],[544]),
[iquote('17:Spt:544.0,544.1,544.3')] ).
cnf(1170,plain,
( ~ c4_1(u)
| c5_1(u)
| c4_2(u,a138) ),
inference(spt,[],[532]),
[iquote('16:Spt:532.0,532.2,532.3')] ).
cnf(1167,plain,
( ~ c3_1(u)
| c8_1(u) ),
inference(spt,[],[605]),
[iquote('13:Spt:605.1,605.4')] ).
cnf(1163,plain,
( ~ c8_1(u)
| c1_1(u) ),
inference(spt,[],[598]),
[iquote('9:Spt:598.0,598.4')] ).
cnf(1123,plain,
c2_0,
inference(spt,[],[573]),
[iquote('7:Spt:573.4')] ).
cnf(1115,plain,
( c7_1(u)
| c6_1(u) ),
inference(spt,[],[597]),
[iquote('6:Spt:597.3,597.4')] ).
cnf(1099,plain,
c8_0,
inference(spt,[],[41]),
[iquote('4:Spt:41.2')] ).
cnf(1075,plain,
c1_0,
inference(spt,[],[187]),
[iquote('3:Spt:187.1')] ).
cnf(1049,plain,
c10_0,
inference(spt,[],[252]),
[iquote('2:Spt:252.2')] ).
cnf(957,plain,
ndr1_1(u),
inference(spt,[],[618]),
[iquote('1:Spt:618.5')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN418-1 : TPTP v8.1.0. Released v2.1.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 23:07:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.62/0.83
% 0.62/0.83 SPASS V 3.9
% 0.62/0.83 SPASS beiseite: Completion found.
% 0.62/0.83 % SZS status CounterSatisfiable
% 0.62/0.83 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.83 SPASS derived 1500 clauses, backtracked 15 clauses, performed 139 splits and kept 1551 clauses.
% 0.62/0.83 SPASS allocated 78305 KBytes.
% 0.62/0.83 SPASS spent 0:00:00.49 on the problem.
% 0.62/0.83 0:00:00.04 for the input.
% 0.62/0.83 0:00:00.00 for the FLOTTER CNF translation.
% 0.62/0.83 0:00:00.02 for inferences.
% 0.62/0.83 0:00:00.00 for the backtracking.
% 0.62/0.83 0:00:00.31 for the reduction.
% 0.62/0.83
% 0.62/0.83
% 0.62/0.83 The saturated set of worked-off clauses is :
% 0.62/0.83 % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------