TSTP Solution File: SWC415-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SWC415-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n027.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  : 300s
% DateTime : Thu Aug 31 20:18:55 EDT 2023

% Result   : Unsatisfiable 1.65s 1.73s
% Output   : CNFRefutation 1.69s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC415-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 28 15:27:52 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.57  start to proof:theBenchmark
% 1.65/1.73  %-------------------------------------------
% 1.65/1.73  % File        :CSE---1.6
% 1.65/1.73  % Problem     :theBenchmark
% 1.65/1.73  % Transform   :cnf
% 1.65/1.73  % Format      :tptp:raw
% 1.65/1.73  % Command     :java -jar mcs_scs.jar %d %s
% 1.65/1.73  
% 1.65/1.73  % Result      :Theorem 1.070000s
% 1.65/1.73  % Output      :CNFRefutation 1.070000s
% 1.65/1.73  %-------------------------------------------
% 1.65/1.73  %--------------------------------------------------------------------------
% 1.65/1.73  % File     : SWC415-1 : TPTP v8.1.2. Released v2.4.0.
% 1.65/1.73  % Domain   : Software Creation
% 1.65/1.73  % Problem  : cond_tail1_x_tail1
% 1.65/1.73  % Version  : [Wei00] axioms.
% 1.65/1.73  % English  : Find components in a software library that match a given target
% 1.65/1.73  %            specification given in first-order logic. The components are
% 1.65/1.73  %            specified in first-order logic as well. The problem represents
% 1.65/1.73  %            a test of one library module specification against a target
% 1.65/1.73  %            specification.
% 1.65/1.73  
% 1.65/1.73  % Refs     : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 1.65/1.73  %          : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 1.65/1.73  % Source   : [TPTP]
% 1.65/1.73  % Names    :
% 1.65/1.73  
% 1.65/1.73  % Status   : Unsatisfiable
% 1.65/1.73  % Rating   : 0.24 v8.1.0, 0.21 v7.5.0, 0.26 v7.4.0, 0.24 v7.3.0, 0.33 v7.1.0, 0.25 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.18 v6.2.0, 0.20 v6.1.0, 0.36 v6.0.0, 0.40 v5.5.0, 0.60 v5.3.0, 0.50 v5.1.0, 0.53 v5.0.0, 0.43 v4.1.0, 0.38 v4.0.1, 0.36 v3.7.0, 0.20 v3.5.0, 0.27 v3.4.0, 0.33 v3.3.0, 0.43 v3.2.0, 0.46 v3.1.0, 0.55 v2.7.0, 0.50 v2.6.0, 0.78 v2.5.0, 0.56 v2.4.0
% 1.65/1.73  % Syntax   : Number of clauses     :  197 (  60 unt;  35 nHn; 154 RR)
% 1.65/1.73  %            Number of literals    :  634 ( 108 equ; 415 neg)
% 1.65/1.73  %            Maximal clause size   :   10 (   3 avg)
% 1.65/1.73  %            Maximal term depth    :    5 (   1 avg)
% 1.65/1.73  %            Number of predicates  :   20 (  19 usr;   0 prp; 1-2 aty)
% 1.65/1.73  %            Number of functors    :   53 (  53 usr;   7 con; 0-2 aty)
% 1.65/1.73  %            Number of variables   :  330 (  49 sgn)
% 1.65/1.73  % SPC      : CNF_UNS_RFO_SEQ_NHN
% 1.65/1.73  
% 1.65/1.73  % Comments : Created by CNF conversion from SWC415+1
% 1.65/1.73  %--------------------------------------------------------------------------
% 1.65/1.73  %----Include list specification axioms
% 1.65/1.73  include('Axioms/SWC001-0.ax').
% 1.65/1.73  %--------------------------------------------------------------------------
% 1.65/1.73  cnf(co1_1,negated_conjecture,
% 1.65/1.73      ssList(sk1) ).
% 1.65/1.73  
% 1.65/1.73  cnf(co1_2,negated_conjecture,
% 1.65/1.73      ssList(sk2) ).
% 1.65/1.73  
% 1.65/1.73  cnf(co1_3,negated_conjecture,
% 1.65/1.73      ssList(sk3) ).
% 1.65/1.73  
% 1.65/1.73  cnf(co1_4,negated_conjecture,
% 1.65/1.73      ssList(sk4) ).
% 1.65/1.73  
% 1.65/1.73  cnf(co1_5,negated_conjecture,
% 1.65/1.73      sk2 = sk4 ).
% 1.65/1.73  
% 1.65/1.73  cnf(co1_6,negated_conjecture,
% 1.65/1.73      sk1 = sk3 ).
% 1.65/1.73  
% 1.65/1.73  cnf(co1_7,negated_conjecture,
% 1.65/1.73      ( neq(sk2,nil)
% 1.65/1.73      | neq(sk2,nil) ) ).
% 1.65/1.73  
% 1.65/1.73  cnf(co1_8,negated_conjecture,
% 1.65/1.73      ( neq(sk2,nil)
% 1.65/1.73      | ~ neq(sk4,nil) ) ).
% 1.65/1.73  
% 1.65/1.73  cnf(co1_9,negated_conjecture,
% 1.65/1.73      ( ~ ssList(A)
% 1.65/1.73      | sk3 = A
% 1.65/1.73      | tl(sk4) != A
% 1.65/1.73      | ~ neq(nil,sk4)
% 1.65/1.73      | neq(sk2,nil) ) ).
% 1.65/1.73  
% 1.65/1.73  cnf(co1_10,negated_conjecture,
% 1.65/1.73      ( ~ ssList(A)
% 1.65/1.73      | tl(sk2) != A
% 1.65/1.73      | sk1 != A
% 1.65/1.73      | ~ neq(nil,sk2)
% 1.65/1.73      | neq(sk2,nil) ) ).
% 1.65/1.73  
% 1.65/1.73  cnf(co1_11,negated_conjecture,
% 1.65/1.73      ( ~ ssList(A)
% 1.65/1.73      | sk3 = A
% 1.65/1.73      | tl(sk4) != A
% 1.65/1.73      | ~ neq(nil,sk4)
% 1.65/1.73      | ~ neq(sk4,nil) ) ).
% 1.65/1.73  
% 1.65/1.73  cnf(co1_12,negated_conjecture,
% 1.65/1.73      ( ~ ssList(A)
% 1.65/1.73      | tl(sk2) != A
% 1.65/1.73      | sk1 != A
% 1.65/1.73      | ~ neq(nil,sk2)
% 1.65/1.73      | ~ neq(sk4,nil) ) ).
% 1.65/1.73  
% 1.65/1.73  %--------------------------------------------------------------------------
% 1.65/1.73  %-------------------------------------------
% 1.65/1.73  % Proof found
% 1.65/1.73  % SZS status Theorem for theBenchmark
% 1.65/1.73  % SZS output start Proof
% 1.65/1.73  %ClaNum:282(EqnAxiom:85)
% 1.65/1.73  %VarNum:897(SingletonVarNum:324)
% 1.65/1.73  %MaxLitNum:10
% 1.65/1.73  %MaxfuncDepth:4
% 1.65/1.73  %SharedTerms:31
% 1.65/1.73  %goalClause: 86 87 96 97 98 99 138 205 206
% 1.65/1.73  %singleGoalClaCount:7
% 1.65/1.73  [86]E(a1,a2)
% 1.65/1.73  [87]E(a7,a8)
% 1.65/1.73  [88]P1(a3)
% 1.65/1.74  [89]P2(a3)
% 1.65/1.74  [90]P4(a3)
% 1.65/1.74  [91]P18(a3)
% 1.65/1.74  [92]P5(a3)
% 1.65/1.74  [93]P19(a3)
% 1.65/1.74  [94]P3(a3)
% 1.65/1.74  [95]P6(a3)
% 1.65/1.74  [96]P6(a2)
% 1.65/1.74  [97]P6(a7)
% 1.65/1.74  [98]P6(a1)
% 1.65/1.74  [99]P6(a8)
% 1.65/1.74  [100]P7(a9)
% 1.65/1.74  [101]P7(a10)
% 1.65/1.74  [138]P8(a7,a3)
% 1.65/1.74  [145]~E(a10,a9)
% 1.65/1.74  [146]~P15(a3)
% 1.65/1.74  [102]P6(f11(x1021))
% 1.65/1.74  [103]P6(f12(x1031))
% 1.65/1.74  [104]P6(f13(x1041))
% 1.65/1.74  [105]P6(f14(x1051))
% 1.65/1.74  [106]P6(f15(x1061))
% 1.65/1.74  [107]P6(f16(x1071))
% 1.65/1.74  [108]P6(f17(x1081))
% 1.65/1.74  [109]P6(f18(x1091))
% 1.65/1.74  [110]P6(f19(x1101))
% 1.65/1.74  [111]P6(f20(x1111))
% 1.65/1.74  [112]P6(f21(x1121))
% 1.65/1.74  [113]P6(f22(x1131))
% 1.65/1.74  [114]P6(f23(x1141))
% 1.65/1.74  [115]P6(f24(x1151))
% 1.65/1.74  [116]P6(f25(x1161))
% 1.65/1.74  [117]P6(f26(x1171))
% 1.65/1.74  [118]P6(f27(x1181))
% 1.65/1.74  [119]P6(f28(x1191))
% 1.65/1.74  [120]P6(f29(x1201))
% 1.65/1.74  [121]P6(f30(x1211))
% 1.65/1.74  [122]P6(f31(x1221))
% 1.65/1.74  [123]P7(f52(x1231))
% 1.65/1.74  [124]P7(f50(x1241))
% 1.65/1.74  [125]P7(f51(x1251))
% 1.65/1.74  [126]P7(f49(x1261))
% 1.65/1.74  [127]P7(f47(x1271))
% 1.65/1.74  [128]P7(f48(x1281))
% 1.65/1.74  [129]P7(f45(x1291))
% 1.65/1.74  [130]P7(f46(x1301))
% 1.65/1.74  [131]P7(f43(x1311))
% 1.65/1.74  [132]P7(f44(x1321))
% 1.65/1.74  [133]P7(f41(x1331))
% 1.65/1.74  [134]P7(f42(x1341))
% 1.65/1.74  [135]P7(f32(x1351))
% 1.65/1.74  [136]P7(f33(x1361))
% 1.65/1.74  [137]P7(f34(x1371))
% 1.65/1.74  [139]P6(f37(x1391,x1392))
% 1.65/1.74  [140]P6(f38(x1401,x1402))
% 1.65/1.74  [141]P6(f39(x1411,x1412))
% 1.65/1.74  [142]P6(f40(x1421,x1422))
% 1.65/1.74  [143]P6(f35(x1431,x1432))
% 1.65/1.74  [144]P6(f36(x1441,x1442))
% 1.65/1.74  [152]~P6(x1521)+P16(x1521,a3)
% 1.65/1.74  [153]~P6(x1531)+P17(x1531,a3)
% 1.65/1.74  [154]~P6(x1541)+P9(x1541,a3)
% 1.65/1.74  [157]~P7(x1571)+P10(x1571,x1571)
% 1.65/1.74  [158]~P6(x1581)+P16(x1581,x1581)
% 1.65/1.74  [159]~P6(x1591)+P17(x1591,x1591)
% 1.65/1.74  [160]~P6(x1601)+P9(x1601,x1601)
% 1.65/1.74  [161]~P7(x1611)+P11(x1611,x1611)
% 1.65/1.74  [166]~P7(x1661)+~P13(a3,x1661)
% 1.65/1.74  [171]~P14(x1711,x1711)+~P7(x1711)
% 1.65/1.74  [155]~P6(x1551)+E(f5(x1551,a3),x1551)
% 1.65/1.74  [156]~P6(x1561)+E(f5(a3,x1561),x1561)
% 1.65/1.74  [176]~P7(x1761)+P1(f6(x1761,a3))
% 1.65/1.74  [177]~P7(x1771)+P2(f6(x1771,a3))
% 1.65/1.74  [178]~P7(x1781)+P4(f6(x1781,a3))
% 1.65/1.74  [179]~P7(x1791)+P18(f6(x1791,a3))
% 1.65/1.74  [180]~P7(x1801)+P5(f6(x1801,a3))
% 1.65/1.74  [181]~P7(x1811)+P19(f6(x1811,a3))
% 1.65/1.74  [182]~P7(x1821)+P3(f6(x1821,a3))
% 1.65/1.74  [162]~P6(x1621)+~E(a3,x1621)+P16(a3,x1621)
% 1.65/1.74  [163]~P6(x1631)+~E(a3,x1631)+P17(a3,x1631)
% 1.65/1.74  [164]~P6(x1641)+~E(a3,x1641)+P9(a3,x1641)
% 1.65/1.74  [167]~P6(x1671)+~P16(a3,x1671)+E(a3,x1671)
% 1.65/1.74  [168]~P6(x1681)+~P17(a3,x1681)+E(a3,x1681)
% 1.65/1.74  [169]~P6(x1691)+~P9(a3,x1691)+E(a3,x1691)
% 1.65/1.74  [149]~P6(x1491)+E(a3,x1491)+P6(f53(x1491))
% 1.65/1.74  [151]~P6(x1511)+E(a3,x1511)+P7(f4(x1511))
% 1.65/1.74  [165]~P6(x1651)+P1(x1651)+~E(f51(x1651),f50(x1651))
% 1.65/1.74  [187]~P6(x1871)+P3(x1871)+P11(f32(x1871),f33(x1871))
% 1.65/1.74  [188]~P6(x1881)+P3(x1881)+P11(f33(x1881),f32(x1881))
% 1.65/1.74  [212]~P6(x2121)+P4(x2121)+~P14(f48(x2121),f47(x2121))
% 1.65/1.74  [213]~P6(x2131)+P18(x2131)+~P11(f46(x2131),f45(x2131))
% 1.65/1.74  [214]~P6(x2141)+P5(x2141)+~P14(f43(x2141),f44(x2141))
% 1.65/1.74  [215]~P6(x2151)+P5(x2151)+~P14(f44(x2151),f43(x2151))
% 1.65/1.74  [216]~P6(x2161)+P19(x2161)+~P11(f41(x2161),f42(x2161))
% 1.65/1.74  [217]~P6(x2171)+P19(x2171)+~P11(f42(x2171),f41(x2171))
% 1.65/1.74  [175]~P6(x1751)+~P15(x1751)+E(f6(f34(x1751),a3),x1751)
% 1.65/1.74  [183]~P6(x1831)+E(a3,x1831)+E(f6(f52(x1831),f11(x1831)),x1831)
% 1.65/1.74  [184]~P6(x1841)+E(a3,x1841)+E(f6(f4(x1841),f53(x1841)),x1841)
% 1.65/1.74  [271]P2(x2711)+~P6(x2711)+E(f5(f5(f16(x2711),f6(f49(x2711),f15(x2711))),f6(f49(x2711),f14(x2711))),x2711)
% 1.65/1.74  [272]P4(x2721)+~P6(x2721)+E(f5(f5(f19(x2721),f6(f48(x2721),f18(x2721))),f6(f47(x2721),f17(x2721))),x2721)
% 1.65/1.74  [273]P18(x2731)+~P6(x2731)+E(f5(f5(f22(x2731),f6(f46(x2731),f21(x2731))),f6(f45(x2731),f20(x2731))),x2731)
% 1.65/1.74  [274]P5(x2741)+~P6(x2741)+E(f5(f5(f25(x2741),f6(f44(x2741),f24(x2741))),f6(f43(x2741),f23(x2741))),x2741)
% 1.65/1.74  [275]P19(x2751)+~P6(x2751)+E(f5(f5(f28(x2751),f6(f42(x2751),f27(x2751))),f6(f41(x2751),f26(x2751))),x2751)
% 1.65/1.74  [276]P3(x2761)+~P6(x2761)+E(f5(f5(f31(x2761),f6(f33(x2761),f30(x2761))),f6(f32(x2761),f29(x2761))),x2761)
% 1.65/1.74  [269]P1(x2691)+~P6(x2691)+E(f5(f13(x2691),f6(f51(x2691),f6(f50(x2691),f12(x2691)))),x2691)
% 1.65/1.74  [147]~P6(x1471)+P2(x1471)+P7(x1472)
% 1.65/1.74  [185]~P6(x1852)+~P7(x1851)+~E(f6(x1851,x1852),a3)
% 1.65/1.74  [186]~P6(x1862)+~P7(x1861)+~E(f6(x1861,x1862),x1862)
% 1.65/1.74  [196]~P6(x1962)+~P7(x1961)+P6(f6(x1961,x1962))
% 1.65/1.74  [197]~P6(x1971)+~P6(x1972)+P6(f5(x1971,x1972))
% 1.65/1.74  [199]~P6(x1992)+~P7(x1991)+E(f53(f6(x1991,x1992)),x1992)
% 1.65/1.74  [200]~P6(x2002)+~P7(x2001)+E(f4(f6(x2001,x2002)),x2001)
% 1.65/1.74  [229]~P6(x2292)+~P7(x2291)+E(f5(f6(x2291,a3),x2292),f6(x2291,x2292))
% 1.65/1.74  [172]P8(x1722,x1721)+~P6(x1722)+~P6(x1721)+E(x1721,x1722)
% 1.65/1.74  [173]P8(x1732,x1731)+~P7(x1732)+~P7(x1731)+E(x1731,x1732)
% 1.65/1.74  [192]~P6(x1922)+~P6(x1921)+~P8(x1921,x1922)+~E(x1921,x1922)
% 1.65/1.74  [193]~P7(x1932)+~P7(x1931)+~P14(x1931,x1932)+~E(x1931,x1932)
% 1.65/1.74  [194]~P7(x1942)+~P7(x1941)+~P8(x1941,x1942)+~E(x1941,x1942)
% 1.65/1.74  [207]~P7(x2071)+~P7(x2072)+~P11(x2072,x2071)+P10(x2071,x2072)
% 1.65/1.74  [208]~P7(x2081)+~P7(x2082)+~P10(x2082,x2081)+P11(x2081,x2082)
% 1.65/1.74  [209]~P7(x2092)+~P7(x2091)+~P14(x2091,x2092)+P11(x2091,x2092)
% 1.65/1.74  [210]~P7(x2101)+~P7(x2102)+~P12(x2102,x2101)+P14(x2101,x2102)
% 1.65/1.74  [211]~P7(x2111)+~P7(x2112)+~P14(x2112,x2111)+P12(x2111,x2112)
% 1.65/1.74  [220]~P14(x2201,x2202)+~P14(x2202,x2201)+~P7(x2201)+~P7(x2202)
% 1.65/1.74  [221]~P12(x2211,x2212)+~P12(x2212,x2211)+~P7(x2211)+~P7(x2212)
% 1.65/1.74  [189]~P6(x1891)+~P6(x1892)+E(a3,x1891)+~E(f5(x1892,x1891),a3)
% 1.65/1.74  [190]~P6(x1902)+~P6(x1901)+E(a3,x1901)+~E(f5(x1901,x1902),a3)
% 1.65/1.74  [191]~P6(x1911)+~P7(x1912)+P15(x1911)+~E(f6(x1912,a3),x1911)
% 1.65/1.74  [202]~P6(x2022)+~P7(x2021)+~E(a3,x2022)+P4(f6(x2021,x2022))
% 1.65/1.74  [203]~P6(x2032)+~P7(x2031)+~E(a3,x2032)+P18(f6(x2031,x2032))
% 1.65/1.74  [204]~P6(x2041)+~P6(x2042)+E(a3,x2041)+E(f4(f5(x2041,x2042)),f4(x2041))
% 1.65/1.74  [231]~P6(x2311)+~P6(x2312)+E(a3,x2311)+E(f53(f5(x2311,x2312)),f5(f53(x2311),x2312))
% 1.65/1.74  [238]~P6(x2381)+~P6(x2382)+~P9(x2382,x2381)+E(f5(x2381,f40(x2382,x2381)),x2382)
% 1.65/1.74  [239]~P6(x2392)+~P6(x2391)+~P17(x2391,x2392)+E(f5(f39(x2391,x2392),x2392),x2391)
% 1.65/1.74  [268]~P6(x2682)+~P6(x2681)+~P16(x2681,x2682)+E(f5(f5(f38(x2681,x2682),x2682),f37(x2682,x2681)),x2681)
% 1.65/1.74  [267]~P6(x2671)+~P7(x2672)+~P13(x2671,x2672)+E(f5(f36(x2671,x2672),f6(x2672,f35(x2672,x2671))),x2671)
% 1.65/1.74  [257]~P6(x2573)+~P6(x2572)+~P7(x2571)+E(f6(x2571,f5(x2572,x2573)),f5(f6(x2571,x2572),x2573))
% 1.65/1.74  [258]~P6(x2581)+~P6(x2582)+~P6(x2583)+E(f5(f5(x2581,x2582),x2583),f5(x2581,f5(x2582,x2583)))
% 1.65/1.74  [205]~P6(x2051)+E(a1,x2051)+~P8(a3,a8)+~P8(a8,a3)+~E(f53(a8),x2051)
% 1.65/1.74  [206]~P6(x2061)+~P8(a8,a3)+~E(a2,x2061)+~P8(a3,a7)+~E(f53(a7),x2061)
% 1.69/1.74  [219]P14(x2191,x2192)+~P7(x2192)+~P7(x2191)+~P11(x2191,x2192)+E(x2191,x2192)
% 1.69/1.74  [224]~P6(x2242)+~P6(x2241)+~P16(x2242,x2241)+~P16(x2241,x2242)+E(x2241,x2242)
% 1.69/1.74  [225]~P6(x2252)+~P6(x2251)+~P17(x2252,x2251)+~P17(x2251,x2252)+E(x2251,x2252)
% 1.69/1.74  [226]~P6(x2262)+~P6(x2261)+~P9(x2262,x2261)+~P9(x2261,x2262)+E(x2261,x2262)
% 1.69/1.74  [227]~P7(x2272)+~P7(x2271)+~P10(x2272,x2271)+~P10(x2271,x2272)+E(x2271,x2272)
% 1.69/1.74  [228]~P7(x2282)+~P7(x2281)+~P11(x2282,x2281)+~P11(x2281,x2282)+E(x2281,x2282)
% 1.69/1.74  [174]~P6(x1742)+~P6(x1741)+~E(a3,x1742)+~E(a3,x1741)+E(f5(x1741,x1742),a3)
% 1.69/1.74  [234]P4(x2341)+~P6(x2341)+~P7(x2342)+E(a3,x2341)+~P4(f6(x2342,x2341))
% 1.69/1.74  [235]P18(x2351)+~P6(x2351)+~P7(x2352)+E(a3,x2351)+~P18(f6(x2352,x2351))
% 1.69/1.74  [248]~P6(x2481)+~P7(x2482)+E(a3,x2481)+P11(x2482,f4(x2481))+~P18(f6(x2482,x2481))
% 1.69/1.74  [249]~P6(x2491)+~P7(x2492)+E(a3,x2491)+P14(x2492,f4(x2491))+~P4(f6(x2492,x2491))
% 1.69/1.74  [222]~P6(x2221)+~P6(x2222)+~P6(x2223)+P17(x2221,x2222)+~E(f5(x2223,x2222),x2221)
% 1.69/1.74  [223]~P6(x2231)+~P6(x2233)+~P6(x2232)+P9(x2231,x2232)+~E(f5(x2232,x2233),x2231)
% 1.69/1.74  [230]~E(x2303,x2301)+~P6(x2302)+~P7(x2301)+~P7(x2303)+P13(f6(x2301,x2302),x2303)
% 1.69/1.74  [232]~P6(x2322)+~P6(x2321)+~P6(x2323)+E(x2321,x2322)+~E(f5(x2323,x2321),f5(x2323,x2322))
% 1.69/1.74  [233]~P6(x2332)+~P6(x2333)+~P6(x2331)+E(x2331,x2332)+~E(f5(x2331,x2333),f5(x2332,x2333))
% 1.69/1.74  [250]~P6(x2501)+~P6(x2503)+~P6(x2502)+~P17(x2502,x2503)+P17(f5(x2501,x2502),x2503)
% 1.69/1.74  [251]~P6(x2512)+~P6(x2513)+~P6(x2511)+~P9(x2511,x2513)+P9(f5(x2511,x2512),x2513)
% 1.69/1.74  [252]~P6(x2522)+~P7(x2521)+~P7(x2523)+~P13(x2522,x2523)+P13(f6(x2521,x2522),x2523)
% 1.69/1.74  [253]~P6(x2531)+~P6(x2532)+~P7(x2533)+~P13(x2532,x2533)+P13(f5(x2531,x2532),x2533)
% 1.69/1.74  [254]~P6(x2542)+~P6(x2541)+~P7(x2543)+~P13(x2541,x2543)+P13(f5(x2541,x2542),x2543)
% 1.69/1.74  [255]~P4(x2551)+~P6(x2551)+~P7(x2552)+~P14(x2552,f4(x2551))+E(a3,x2551)+P4(f6(x2552,x2551))
% 1.69/1.74  [256]~P18(x2561)+~P6(x2561)+~P7(x2562)+~P11(x2562,f4(x2561))+E(a3,x2561)+P18(f6(x2562,x2561))
% 1.69/1.74  [240]~P7(x2402)+~P7(x2401)+~P10(x2403,x2402)+~P10(x2401,x2403)+P10(x2401,x2402)+~P7(x2403)
% 1.69/1.74  [241]~P6(x2412)+~P6(x2411)+~P16(x2413,x2412)+~P16(x2411,x2413)+P16(x2411,x2412)+~P6(x2413)
% 1.69/1.74  [242]~P6(x2422)+~P6(x2421)+~P17(x2423,x2422)+~P17(x2421,x2423)+P17(x2421,x2422)+~P6(x2423)
% 1.69/1.74  [243]~P6(x2432)+~P6(x2431)+~P9(x2433,x2432)+~P9(x2431,x2433)+P9(x2431,x2432)+~P6(x2433)
% 1.69/1.74  [244]~P7(x2442)+~P7(x2441)+~P11(x2443,x2442)+~P11(x2441,x2443)+P11(x2441,x2442)+~P7(x2443)
% 1.69/1.74  [245]~P7(x2452)+~P7(x2451)+~P11(x2451,x2453)+~P14(x2453,x2452)+P14(x2451,x2452)+~P7(x2453)
% 1.69/1.74  [246]~P7(x2462)+~P7(x2461)+~P14(x2463,x2462)+~P14(x2461,x2463)+P14(x2461,x2462)+~P7(x2463)
% 1.69/1.74  [247]~P7(x2472)+~P7(x2471)+~P12(x2473,x2472)+~P12(x2471,x2473)+P12(x2471,x2472)+~P7(x2473)
% 1.69/1.74  [259]~P6(x2593)+~P7(x2592)+~P7(x2591)+E(x2591,x2592)+P13(x2593,x2592)+~P13(f6(x2591,x2593),x2592)
% 1.69/1.74  [262]~P6(x2621)+~P6(x2623)+~P7(x2622)+P13(x2621,x2622)+P13(x2623,x2622)+~P13(f5(x2623,x2621),x2622)
% 1.69/1.74  [236]~P6(x2362)+~P6(x2361)+~P7(x2364)+~P7(x2363)+E(x2361,x2362)+~E(f6(x2363,x2361),f6(x2364,x2362))
% 1.69/1.74  [237]~P6(x2374)+~P6(x2373)+~P7(x2372)+~P7(x2371)+E(x2371,x2372)+~E(f6(x2371,x2373),f6(x2372,x2374))
% 1.69/1.74  [264]~P7(x2642)+~P7(x2641)+E(x2641,x2642)+~P6(x2643)+~P6(x2644)+~P9(f6(x2641,x2644),f6(x2642,x2643))
% 1.69/1.74  [266]~P6(x2662)+~P6(x2661)+P9(x2661,x2662)+~P7(x2663)+~P7(x2664)+~P9(f6(x2664,x2661),f6(x2663,x2662))
% 1.69/1.74  [260]~P6(x2601)+~P6(x2604)+~P6(x2603)+~P7(x2602)+P13(x2601,x2602)+~E(f5(x2603,f6(x2602,x2604)),x2601)
% 1.69/1.74  [261]~P6(x2611)+~P6(x2614)+~P6(x2612)+~P6(x2613)+P16(x2611,x2612)+~E(f5(f5(x2613,x2612),x2614),x2611)
% 1.69/1.74  [265]~P6(x2651)+~P6(x2653)+~P6(x2654)+~P6(x2652)+~P16(x2652,x2654)+P16(f5(f5(x2651,x2652),x2653),x2654)
% 1.69/1.74  [201]~P6(x2012)+~P6(x2011)+E(x2011,x2012)+E(a3,x2012)+E(a3,x2011)+~E(f53(x2011),f53(x2012))+~E(f4(x2011),f4(x2012))
% 1.69/1.74  [263]~E(x2631,x2633)+~P6(x2634)+~P6(x2632)+~P7(x2633)+~P7(x2631)+~P9(x2632,x2634)+P9(f6(x2631,x2632),f6(x2633,x2634))
% 1.69/1.74  [277]~P2(x2775)+~P6(x2775)+~P6(x2774)+~P6(x2773)+~P6(x2771)+~P7(x2772)+~E(f5(f5(x2771,f6(x2772,x2773)),f6(x2772,x2774)),x2775)
% 1.69/1.74  [270]~P1(x2705)+~P6(x2705)+~P6(x2704)+~P6(x2703)+~P7(x2702)+~P7(x2701)+E(x2701,x2702)+~E(f5(x2703,f6(x2701,f6(x2702,x2704))),x2705)
% 1.69/1.74  [278]~P18(x2786)+~P6(x2786)+~P6(x2785)+~P6(x2784)+~P6(x2783)+~P7(x2782)+~P7(x2781)+P11(x2781,x2782)+~E(f5(f5(x2783,f6(x2781,x2784)),f6(x2782,x2785)),x2786)
% 1.69/1.74  [279]~P4(x2796)+~P6(x2796)+~P6(x2795)+~P6(x2794)+~P6(x2793)+~P7(x2792)+~P7(x2791)+P14(x2791,x2792)+~E(f5(f5(x2793,f6(x2791,x2794)),f6(x2792,x2795)),x2796)
% 1.69/1.74  [280]P11(x2802,x2801)+~P19(x2806)+~P6(x2806)+~P6(x2805)+~P6(x2804)+~P6(x2803)+~P7(x2801)+~P7(x2802)+P11(x2801,x2802)+~E(f5(f5(x2803,f6(x2802,x2804)),f6(x2801,x2805)),x2806)
% 1.69/1.74  [281]P14(x2812,x2811)+~P5(x2816)+~P6(x2816)+~P6(x2815)+~P6(x2814)+~P6(x2813)+~P7(x2811)+~P7(x2812)+P14(x2811,x2812)+~E(f5(f5(x2813,f6(x2812,x2814)),f6(x2811,x2815)),x2816)
% 1.69/1.74  [282]~P3(x2826)+~P6(x2826)+~P6(x2825)+~P6(x2823)+~P6(x2821)+~P7(x2824)+~P7(x2822)+~P11(x2824,x2822)+~P11(x2822,x2824)+~E(f5(f5(x2821,f6(x2822,x2823)),f6(x2824,x2825)),x2826)
% 1.69/1.74  %EqnAxiom
% 1.69/1.74  [1]E(x11,x11)
% 1.69/1.74  [2]E(x22,x21)+~E(x21,x22)
% 1.69/1.74  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.69/1.74  [4]~E(x41,x42)+E(f11(x41),f11(x42))
% 1.69/1.74  [5]~E(x51,x52)+E(f12(x51),f12(x52))
% 1.69/1.74  [6]~E(x61,x62)+E(f13(x61),f13(x62))
% 1.69/1.74  [7]~E(x71,x72)+E(f14(x71),f14(x72))
% 1.69/1.74  [8]~E(x81,x82)+E(f15(x81),f15(x82))
% 1.69/1.74  [9]~E(x91,x92)+E(f16(x91),f16(x92))
% 1.69/1.74  [10]~E(x101,x102)+E(f17(x101),f17(x102))
% 1.69/1.74  [11]~E(x111,x112)+E(f18(x111),f18(x112))
% 1.69/1.74  [12]~E(x121,x122)+E(f19(x121),f19(x122))
% 1.69/1.74  [13]~E(x131,x132)+E(f20(x131),f20(x132))
% 1.69/1.74  [14]~E(x141,x142)+E(f21(x141),f21(x142))
% 1.69/1.74  [15]~E(x151,x152)+E(f22(x151),f22(x152))
% 1.69/1.74  [16]~E(x161,x162)+E(f23(x161),f23(x162))
% 1.69/1.74  [17]~E(x171,x172)+E(f24(x171),f24(x172))
% 1.69/1.74  [18]~E(x181,x182)+E(f25(x181),f25(x182))
% 1.69/1.74  [19]~E(x191,x192)+E(f26(x191),f26(x192))
% 1.69/1.74  [20]~E(x201,x202)+E(f27(x201),f27(x202))
% 1.69/1.74  [21]~E(x211,x212)+E(f28(x211),f28(x212))
% 1.69/1.74  [22]~E(x221,x222)+E(f29(x221),f29(x222))
% 1.69/1.74  [23]~E(x231,x232)+E(f30(x231),f30(x232))
% 1.69/1.74  [24]~E(x241,x242)+E(f31(x241),f31(x242))
% 1.69/1.74  [25]~E(x251,x252)+E(f52(x251),f52(x252))
% 1.69/1.74  [26]~E(x261,x262)+E(f50(x261),f50(x262))
% 1.69/1.74  [27]~E(x271,x272)+E(f51(x271),f51(x272))
% 1.69/1.74  [28]~E(x281,x282)+E(f49(x281),f49(x282))
% 1.69/1.74  [29]~E(x291,x292)+E(f47(x291),f47(x292))
% 1.69/1.74  [30]~E(x301,x302)+E(f48(x301),f48(x302))
% 1.69/1.74  [31]~E(x311,x312)+E(f45(x311),f45(x312))
% 1.69/1.74  [32]~E(x321,x322)+E(f46(x321),f46(x322))
% 1.69/1.74  [33]~E(x331,x332)+E(f43(x331),f43(x332))
% 1.69/1.74  [34]~E(x341,x342)+E(f44(x341),f44(x342))
% 1.69/1.74  [35]~E(x351,x352)+E(f41(x351),f41(x352))
% 1.69/1.74  [36]~E(x361,x362)+E(f42(x361),f42(x362))
% 1.69/1.74  [37]~E(x371,x372)+E(f32(x371),f32(x372))
% 1.69/1.74  [38]~E(x381,x382)+E(f33(x381),f33(x382))
% 1.69/1.74  [39]~E(x391,x392)+E(f34(x391),f34(x392))
% 1.69/1.74  [40]~E(x401,x402)+E(f37(x401,x403),f37(x402,x403))
% 1.69/1.74  [41]~E(x411,x412)+E(f37(x413,x411),f37(x413,x412))
% 1.69/1.74  [42]~E(x421,x422)+E(f38(x421,x423),f38(x422,x423))
% 1.69/1.74  [43]~E(x431,x432)+E(f38(x433,x431),f38(x433,x432))
% 1.69/1.74  [44]~E(x441,x442)+E(f39(x441,x443),f39(x442,x443))
% 1.69/1.74  [45]~E(x451,x452)+E(f39(x453,x451),f39(x453,x452))
% 1.69/1.74  [46]~E(x461,x462)+E(f40(x461,x463),f40(x462,x463))
% 1.69/1.74  [47]~E(x471,x472)+E(f40(x473,x471),f40(x473,x472))
% 1.69/1.74  [48]~E(x481,x482)+E(f35(x481,x483),f35(x482,x483))
% 1.69/1.74  [49]~E(x491,x492)+E(f35(x493,x491),f35(x493,x492))
% 1.69/1.74  [50]~E(x501,x502)+E(f36(x501,x503),f36(x502,x503))
% 1.69/1.74  [51]~E(x511,x512)+E(f36(x513,x511),f36(x513,x512))
% 1.69/1.74  [52]~E(x521,x522)+E(f53(x521),f53(x522))
% 1.69/1.74  [53]~E(x531,x532)+E(f6(x531,x533),f6(x532,x533))
% 1.69/1.74  [54]~E(x541,x542)+E(f6(x543,x541),f6(x543,x542))
% 1.69/1.74  [55]~E(x551,x552)+E(f4(x551),f4(x552))
% 1.69/1.74  [56]~E(x561,x562)+E(f5(x561,x563),f5(x562,x563))
% 1.69/1.74  [57]~E(x571,x572)+E(f5(x573,x571),f5(x573,x572))
% 1.69/1.74  [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 1.69/1.74  [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 1.69/1.74  [60]~P4(x601)+P4(x602)+~E(x601,x602)
% 1.69/1.74  [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 1.69/1.74  [62]~P5(x621)+P5(x622)+~E(x621,x622)
% 1.69/1.74  [63]~P19(x631)+P19(x632)+~E(x631,x632)
% 1.69/1.74  [64]~P3(x641)+P3(x642)+~E(x641,x642)
% 1.69/1.74  [65]~P6(x651)+P6(x652)+~E(x651,x652)
% 1.69/1.74  [66]~P7(x661)+P7(x662)+~E(x661,x662)
% 1.69/1.74  [67]P11(x672,x673)+~E(x671,x672)+~P11(x671,x673)
% 1.69/1.74  [68]P11(x683,x682)+~E(x681,x682)+~P11(x683,x681)
% 1.69/1.74  [69]P14(x692,x693)+~E(x691,x692)+~P14(x691,x693)
% 1.69/1.74  [70]P14(x703,x702)+~E(x701,x702)+~P14(x703,x701)
% 1.69/1.75  [71]P9(x712,x713)+~E(x711,x712)+~P9(x711,x713)
% 1.69/1.75  [72]P9(x723,x722)+~E(x721,x722)+~P9(x723,x721)
% 1.69/1.75  [73]P10(x732,x733)+~E(x731,x732)+~P10(x731,x733)
% 1.69/1.75  [74]P10(x743,x742)+~E(x741,x742)+~P10(x743,x741)
% 1.69/1.75  [75]P8(x752,x753)+~E(x751,x752)+~P8(x751,x753)
% 1.69/1.75  [76]P8(x763,x762)+~E(x761,x762)+~P8(x763,x761)
% 1.69/1.75  [77]P17(x772,x773)+~E(x771,x772)+~P17(x771,x773)
% 1.69/1.75  [78]P17(x783,x782)+~E(x781,x782)+~P17(x783,x781)
% 1.69/1.75  [79]P16(x792,x793)+~E(x791,x792)+~P16(x791,x793)
% 1.69/1.75  [80]P16(x803,x802)+~E(x801,x802)+~P16(x803,x801)
% 1.69/1.75  [81]P13(x812,x813)+~E(x811,x812)+~P13(x811,x813)
% 1.69/1.75  [82]P13(x823,x822)+~E(x821,x822)+~P13(x823,x821)
% 1.69/1.75  [83]P12(x832,x833)+~E(x831,x832)+~P12(x831,x833)
% 1.69/1.75  [84]P12(x843,x842)+~E(x841,x842)+~P12(x843,x841)
% 1.69/1.75  [85]~P15(x851)+P15(x852)+~E(x851,x852)
% 1.69/1.75  
% 1.69/1.75  %-------------------------------------------
% 1.69/1.75  cnf(283,plain,
% 1.69/1.75     (E(a2,a1)),
% 1.69/1.75     inference(scs_inference,[],[86,2])).
% 1.69/1.75  cnf(284,plain,
% 1.69/1.75     (~P14(a9,a9)),
% 1.69/1.75     inference(scs_inference,[],[86,100,2,171])).
% 1.69/1.75  cnf(286,plain,
% 1.69/1.75     (P8(a8,a3)),
% 1.69/1.75     inference(scs_inference,[],[86,87,138,100,2,171,75])).
% 1.69/1.75  cnf(287,plain,
% 1.69/1.75     (~E(a7,a3)),
% 1.69/1.75     inference(scs_inference,[],[86,87,97,138,95,100,2,171,75,192])).
% 1.69/1.75  cnf(291,plain,
% 1.69/1.75     (P11(a9,a9)),
% 1.69/1.75     inference(scs_inference,[],[86,87,97,138,95,100,2,171,75,192,166,161])).
% 1.69/1.75  cnf(293,plain,
% 1.69/1.75     (P9(a2,a2)),
% 1.69/1.75     inference(scs_inference,[],[86,87,96,97,138,95,100,2,171,75,192,166,161,160])).
% 1.69/1.75  cnf(295,plain,
% 1.69/1.75     (P17(a2,a2)),
% 1.69/1.75     inference(scs_inference,[],[86,87,96,97,138,95,100,2,171,75,192,166,161,160,159])).
% 1.69/1.75  cnf(297,plain,
% 1.69/1.75     (P16(a2,a2)),
% 1.69/1.75     inference(scs_inference,[],[86,87,96,97,138,95,100,2,171,75,192,166,161,160,159,158])).
% 1.69/1.75  cnf(301,plain,
% 1.69/1.75     (P9(a2,a3)),
% 1.69/1.75     inference(scs_inference,[],[86,87,96,97,138,95,100,2,171,75,192,166,161,160,159,158,157,154])).
% 1.69/1.75  cnf(303,plain,
% 1.69/1.75     (P17(a2,a3)),
% 1.69/1.75     inference(scs_inference,[],[86,87,96,97,138,95,100,2,171,75,192,166,161,160,159,158,157,154,153])).
% 1.69/1.75  cnf(305,plain,
% 1.69/1.75     (P16(a2,a3)),
% 1.69/1.75     inference(scs_inference,[],[86,87,96,97,138,95,100,2,171,75,192,166,161,160,159,158,157,154,153,152])).
% 1.69/1.75  cnf(313,plain,
% 1.69/1.75     (P18(f6(a9,a3))),
% 1.69/1.75     inference(scs_inference,[],[86,87,96,97,138,95,100,2,171,75,192,166,161,160,159,158,157,154,153,152,182,181,180,179])).
% 1.69/1.75  cnf(315,plain,
% 1.69/1.75     (P4(f6(a9,a3))),
% 1.69/1.75     inference(scs_inference,[],[86,87,96,97,138,95,100,2,171,75,192,166,161,160,159,158,157,154,153,152,182,181,180,179,178])).
% 1.69/1.75  cnf(321,plain,
% 1.69/1.75     (E(f5(a3,a2),a2)),
% 1.69/1.75     inference(scs_inference,[],[86,87,96,97,138,95,100,2,171,75,192,166,161,160,159,158,157,154,153,152,182,181,180,179,178,177,176,156])).
% 1.69/1.75  cnf(325,plain,
% 1.69/1.75     (E(f5(x3251,a1),f5(x3251,a2))),
% 1.69/1.75     inference(scs_inference,[],[86,87,96,97,138,95,100,2,171,75,192,166,161,160,159,158,157,154,153,152,182,181,180,179,178,177,176,156,155,57])).
% 1.69/1.75  cnf(326,plain,
% 1.69/1.75     (E(f5(a1,x3261),f5(a2,x3261))),
% 1.69/1.75     inference(scs_inference,[],[86,87,96,97,138,95,100,2,171,75,192,166,161,160,159,158,157,154,153,152,182,181,180,179,178,177,176,156,155,57,56])).
% 1.69/1.75  cnf(328,plain,
% 1.69/1.75     (E(f6(x3281,a1),f6(x3281,a2))),
% 1.69/1.75     inference(scs_inference,[],[86,87,96,97,138,95,100,2,171,75,192,166,161,160,159,158,157,154,153,152,182,181,180,179,178,177,176,156,155,57,56,55,54])).
% 1.69/1.75  cnf(329,plain,
% 1.69/1.75     (E(f6(a1,x3291),f6(a2,x3291))),
% 1.69/1.75     inference(scs_inference,[],[86,87,96,97,138,95,100,2,171,75,192,166,161,160,159,158,157,154,153,152,182,181,180,179,178,177,176,156,155,57,56,55,54,53])).
% 1.69/1.75  cnf(352,plain,
% 1.69/1.75     (E(f48(a1),f48(a2))),
% 1.69/1.75     inference(scs_inference,[],[86,87,96,97,138,95,100,2,171,75,192,166,161,160,159,158,157,154,153,152,182,181,180,179,178,177,176,156,155,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30])).
% 1.69/1.75  cnf(354,plain,
% 1.69/1.75     (E(f49(a1),f49(a2))),
% 1.69/1.75     inference(scs_inference,[],[86,87,96,97,138,95,100,2,171,75,192,166,161,160,159,158,157,154,153,152,182,181,180,179,178,177,176,156,155,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28])).
% 1.69/1.75  cnf(357,plain,
% 1.69/1.75     (E(f52(a1),f52(a2))),
% 1.69/1.75     inference(scs_inference,[],[86,87,96,97,138,95,100,2,171,75,192,166,161,160,159,158,157,154,153,152,182,181,180,179,178,177,176,156,155,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25])).
% 1.69/1.75  cnf(380,plain,
% 1.69/1.75     (~E(a8,a3)),
% 1.69/1.75     inference(scs_inference,[],[86,87,96,97,138,95,100,2,171,75,192,166,161,160,159,158,157,154,153,152,182,181,180,179,178,177,176,156,155,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,82,3])).
% 1.69/1.75  cnf(456,plain,
% 1.69/1.75     (~P6(x4561)+E(a1,x4561)+~E(f53(a8),x4561)+~P8(a3,a8)),
% 1.69/1.75     inference(scs_inference,[],[286,205])).
% 1.69/1.75  cnf(457,plain,
% 1.69/1.75     (~P6(x4571)+~E(a2,x4571)+~E(f53(a7),x4571)+~P8(a3,a7)),
% 1.69/1.75     inference(scs_inference,[],[286,206])).
% 1.69/1.75  cnf(460,plain,
% 1.69/1.75     (P6(f5(a8,a8))),
% 1.69/1.75     inference(scs_inference,[],[99,90,95,100,284,279,197])).
% 1.69/1.75  cnf(464,plain,
% 1.69/1.75     (~P8(a1,a2)),
% 1.69/1.75     inference(scs_inference,[],[86,99,90,98,123,95,100,96,284,279,197,185,192])).
% 1.69/1.75  cnf(472,plain,
% 1.69/1.75     (E(f5(a2,f40(a2,a2)),a2)),
% 1.69/1.75     inference(scs_inference,[],[86,99,90,98,123,146,145,101,95,100,96,284,293,279,197,185,192,173,191,258,238])).
% 1.69/1.75  cnf(474,plain,
% 1.69/1.75     (E(f5(f5(f38(a2,a2),a2),f37(a2,a2)),a2)),
% 1.69/1.75     inference(scs_inference,[],[86,99,90,98,123,146,145,101,95,100,96,284,297,293,279,197,185,192,173,191,258,238,268])).
% 1.69/1.75  cnf(478,plain,
% 1.69/1.75     (P16(f5(f5(a2,a2),a2),a2)),
% 1.69/1.75     inference(scs_inference,[],[86,99,90,98,123,146,145,101,95,100,96,284,295,297,293,279,197,185,192,173,191,258,238,268,250,265])).
% 1.69/1.75  cnf(480,plain,
% 1.69/1.75     (~P8(a2,a2)),
% 1.69/1.75     inference(scs_inference,[],[86,99,90,98,123,146,145,101,95,100,96,284,295,297,283,293,279,197,185,192,173,191,258,238,268,250,265,75])).
% 1.69/1.75  cnf(481,plain,
% 1.69/1.75     (P9(a2,a1)),
% 1.69/1.75     inference(scs_inference,[],[86,99,90,98,123,146,145,101,95,100,96,284,295,297,283,293,279,197,185,192,173,191,258,238,268,250,265,75,72])).
% 1.69/1.75  cnf(482,plain,
% 1.69/1.75     (P9(a1,a2)),
% 1.69/1.75     inference(scs_inference,[],[86,99,90,98,123,146,145,101,95,100,96,284,295,297,283,293,279,197,185,192,173,191,258,238,268,250,265,75,72,71])).
% 1.69/1.75  cnf(486,plain,
% 1.69/1.75     (E(f4(f6(f52(x4861),a8)),f52(x4861))),
% 1.69/1.75     inference(scs_inference,[],[86,99,90,98,123,146,145,101,95,100,96,284,325,326,295,297,283,293,279,197,185,192,173,191,258,238,268,250,265,75,72,71,3,200])).
% 1.69/1.75  cnf(498,plain,
% 1.69/1.75     (P8(a3,a7)),
% 1.69/1.75     inference(scs_inference,[],[86,99,90,98,123,146,145,97,101,95,100,96,284,325,326,295,297,283,287,293,279,197,185,192,173,191,258,238,268,250,265,75,72,71,3,200,199,196,186,229,210,172])).
% 1.69/1.75  cnf(502,plain,
% 1.69/1.75     (E(f5(f39(a2,a2),a2),a2)),
% 1.69/1.75     inference(scs_inference,[],[86,99,90,98,123,146,145,97,101,95,100,96,284,325,326,295,297,283,287,293,279,197,185,192,173,191,258,238,268,250,265,75,72,71,3,200,199,196,186,229,210,172,257,239])).
% 1.69/1.75  cnf(504,plain,
% 1.69/1.75     (P9(f5(a2,a2),a2)),
% 1.69/1.75     inference(scs_inference,[],[86,99,90,98,123,146,145,97,101,95,100,96,284,325,326,295,297,283,287,293,279,197,185,192,173,191,258,238,268,250,265,75,72,71,3,200,199,196,186,229,210,172,257,239,251])).
% 1.69/1.75  cnf(512,plain,
% 1.69/1.75     (P16(a1,a2)),
% 1.69/1.75     inference(scs_inference,[],[86,99,90,98,123,88,89,146,145,97,101,95,100,96,284,325,326,295,297,283,287,293,279,197,185,192,173,191,258,238,268,250,265,75,72,71,3,200,199,196,186,229,210,172,257,239,251,277,270,2,80,79])).
% 1.69/1.75  cnf(513,plain,
% 1.69/1.75     (P17(a2,a1)),
% 1.69/1.75     inference(scs_inference,[],[86,99,90,98,123,88,89,146,145,97,101,95,100,96,284,325,326,295,297,283,287,293,279,197,185,192,173,191,258,238,268,250,265,75,72,71,3,200,199,196,186,229,210,172,257,239,251,277,270,2,80,79,78])).
% 1.69/1.75  cnf(514,plain,
% 1.69/1.75     (P17(a1,a2)),
% 1.69/1.75     inference(scs_inference,[],[86,99,90,98,123,88,89,146,145,97,101,95,100,96,284,325,326,295,297,283,287,293,279,197,185,192,173,191,258,238,268,250,265,75,72,71,3,200,199,196,186,229,210,172,257,239,251,277,270,2,80,79,78,77])).
% 1.69/1.75  cnf(515,plain,
% 1.69/1.75     (P8(a3,a8)),
% 1.69/1.75     inference(scs_inference,[],[86,99,90,98,123,88,89,146,87,145,97,101,95,100,96,284,325,326,295,297,283,287,293,279,197,185,192,173,191,258,238,268,250,265,75,72,71,3,200,199,196,186,229,210,172,257,239,251,277,270,2,80,79,78,77,76])).
% 1.69/1.75  cnf(519,plain,
% 1.69/1.75     (P9(a1,a1)),
% 1.69/1.75     inference(scs_inference,[],[86,99,90,98,123,88,89,146,87,145,97,101,95,100,96,284,325,326,295,297,283,287,291,293,279,197,185,192,173,191,258,238,268,250,265,75,72,71,3,200,199,196,186,229,210,172,257,239,251,277,270,2,80,79,78,77,76,68,457,243])).
% 1.69/1.75  cnf(521,plain,
% 1.69/1.75     (P17(a1,a1)),
% 1.69/1.75     inference(scs_inference,[],[86,99,90,98,123,88,89,146,87,145,97,101,95,100,96,284,325,326,295,297,283,287,291,293,279,197,185,192,173,191,258,238,268,250,265,75,72,71,3,200,199,196,186,229,210,172,257,239,251,277,270,2,80,79,78,77,76,68,457,243,242])).
% 1.69/1.75  cnf(523,plain,
% 1.69/1.75     (P16(a1,a1)),
% 1.69/1.75     inference(scs_inference,[],[86,99,90,98,123,88,89,146,87,145,97,101,95,100,96,284,325,326,295,297,283,287,291,293,279,197,185,192,173,191,258,238,268,250,265,75,72,71,3,200,199,196,186,229,210,172,257,239,251,277,270,2,80,79,78,77,76,68,457,243,242,241])).
% 1.69/1.75  cnf(534,plain,
% 1.69/1.75     (~P6(f53(a8))+E(a1,f53(a8))+~P8(a3,a8)),
% 1.69/1.75     inference(equality_inference,[],[456])).
% 1.69/1.75  cnf(546,plain,
% 1.69/1.75     (~P6(f53(a8))+E(a1,f53(a8))),
% 1.69/1.75     inference(scs_inference,[],[515,534])).
% 1.69/1.75  cnf(555,plain,
% 1.69/1.75     (E(f5(f5(f11(x5551),f11(x5551)),f11(x5551)),f5(f11(x5551),f5(f11(x5551),f11(x5551))))),
% 1.69/1.75     inference(scs_inference,[],[102,141,142,92,95,100,96,472,502,284,223,222,281,258])).
% 1.69/1.75  cnf(563,plain,
% 1.69/1.75     (E(f5(a2,f40(a1,a2)),a1)),
% 1.69/1.75     inference(scs_inference,[],[102,141,142,124,92,146,98,95,100,96,472,502,482,512,284,223,222,281,258,268,191,257,238])).
% 1.69/1.75  cnf(571,plain,
% 1.69/1.75     (E(f5(f39(a1,a2),a2),a1)),
% 1.69/1.75     inference(scs_inference,[],[102,141,142,124,92,146,98,95,100,96,472,502,482,512,514,519,521,523,284,223,222,281,258,268,191,257,238,251,250,265,239])).
% 1.69/1.75  cnf(575,plain,
% 1.69/1.75     (~P8(a1,f5(f5(f38(a2,a2),a2),f37(a2,a2)))),
% 1.69/1.75     inference(scs_inference,[],[102,141,142,124,92,89,146,98,95,100,96,474,472,502,464,482,512,514,519,521,523,284,223,222,281,258,268,191,257,238,251,250,265,239,277,76])).
% 1.69/1.75  cnf(576,plain,
% 1.69/1.75     (~P8(f5(f5(f38(a2,a2),a2),f37(a2,a2)),a2)),
% 1.69/1.75     inference(scs_inference,[],[102,141,142,124,92,89,146,98,95,100,96,474,472,502,464,480,482,512,514,519,521,523,284,223,222,281,258,268,191,257,238,251,250,265,239,277,76,75])).
% 1.69/1.75  cnf(608,plain,
% 1.69/1.75     (~P6(x6081)+~E(f53(a7),x6081)+~E(a2,x6081)),
% 1.69/1.75     inference(scs_inference,[],[498,457])).
% 1.69/1.75  cnf(611,plain,
% 1.69/1.75     (P17(a1,f40(a1,a2))),
% 1.69/1.75     inference(scs_inference,[],[104,142,92,98,95,100,96,563,284,281,222])).
% 1.69/1.75  cnf(614,plain,
% 1.69/1.75     (P9(a1,f39(a1,a2))),
% 1.69/1.75     inference(scs_inference,[],[104,141,142,92,98,95,100,96,563,571,284,281,222,223])).
% 1.69/1.75  cnf(623,plain,
% 1.69/1.75     (~P8(f5(f5(f38(a2,a2),a2),f37(a2,a2)),f5(a3,a2))),
% 1.69/1.75     inference(scs_inference,[],[104,125,141,142,92,89,98,95,100,96,576,563,571,321,482,514,284,281,222,223,251,250,277,76])).
% 1.69/1.75  cnf(665,plain,
% 1.69/1.75     (P16(a1,a3)),
% 1.69/1.75     inference(scs_inference,[],[96,98,95,305,512,241])).
% 1.69/1.75  cnf(670,plain,
% 1.69/1.75     (P17(a2,f40(a1,a2))),
% 1.69/1.75     inference(scs_inference,[],[96,141,142,98,95,305,611,614,481,513,512,241,243,242])).
% 1.69/1.75  cnf(694,plain,
% 1.69/1.75     (~P15(a2)+~P7(f49(a1))+P9(f6(f49(a1),a2),f6(f49(a2),a2))),
% 1.69/1.75     inference(scs_inference,[],[96,126,137,141,142,89,283,145,101,98,95,100,555,315,313,486,623,305,354,357,611,614,481,513,575,325,512,293,241,243,242,277,3,2,75,175,191,76,267,219,256,255,263])).
% 1.69/1.75  cnf(702,plain,
% 1.69/1.75     (~E(a3,a8)),
% 1.69/1.75     inference(scs_inference,[],[127,146,95,328,329,380,191,3,2])).
% 1.69/1.75  cnf(707,plain,
% 1.69/1.75     (P6(f53(a8))),
% 1.69/1.75     inference(scs_inference,[],[127,146,126,99,95,328,329,380,191,3,2,694,151,149])).
% 1.69/1.75  cnf(717,plain,
% 1.69/1.75     (~P9(a3,a8)),
% 1.69/1.75     inference(scs_inference,[],[96,127,146,126,99,95,328,329,380,191,3,2,694,151,149,184,183,204,231,169])).
% 1.69/1.75  cnf(719,plain,
% 1.69/1.75     (~P17(a3,a8)),
% 1.69/1.75     inference(scs_inference,[],[96,127,146,126,99,95,328,329,380,191,3,2,694,151,149,184,183,204,231,169,168])).
% 1.69/1.75  cnf(743,plain,
% 1.69/1.75     (E(a1,f53(a8))),
% 1.69/1.75     inference(scs_inference,[],[707,546])).
% 1.69/1.75  cnf(746,plain,
% 1.69/1.75     (P9(a7,a7)),
% 1.69/1.75     inference(scs_inference,[],[97,128,95,99,717,266,160])).
% 1.69/1.75  cnf(748,plain,
% 1.69/1.75     (P16(a7,a7)),
% 1.69/1.75     inference(scs_inference,[],[97,128,95,99,717,266,160,158])).
% 1.69/1.75  cnf(750,plain,
% 1.69/1.75     (P16(a7,a3)),
% 1.69/1.75     inference(scs_inference,[],[97,128,95,99,717,266,160,158,152])).
% 1.69/1.75  cnf(772,plain,
% 1.69/1.75     (P9(a7,a3)),
% 1.69/1.75     inference(scs_inference,[],[97,128,95,99,702,717,266,160,158,152,182,179,177,155,231,171,166,161,159,157,154])).
% 1.69/1.75  cnf(774,plain,
% 1.69/1.75     (P17(a7,a3)),
% 1.69/1.75     inference(scs_inference,[],[97,128,95,99,702,717,266,160,158,152,182,179,177,155,231,171,166,161,159,157,154,153])).
% 1.69/1.75  cnf(786,plain,
% 1.69/1.75     (E(f5(x7861,a2),f5(x7861,a1))),
% 1.69/1.75     inference(scs_inference,[],[97,128,283,95,99,702,717,266,160,158,152,182,179,177,155,231,171,166,161,159,157,154,153,181,180,178,176,156,57])).
% 1.69/1.75  cnf(789,plain,
% 1.69/1.75     (E(f40(x7891,a2),f40(x7891,a1))),
% 1.69/1.75     inference(scs_inference,[],[97,128,283,95,99,702,717,266,160,158,152,182,179,177,155,231,171,166,161,159,157,154,153,181,180,178,176,156,57,55,48,47])).
% 1.69/1.75  cnf(847,plain,
% 1.69/1.75     (~E(f5(a8,a8),a3)),
% 1.69/1.75     inference(scs_inference,[],[97,128,90,283,95,99,702,352,717,266,160,158,152,182,179,177,155,231,171,166,161,159,157,154,153,181,180,178,176,156,57,55,48,47,46,45,42,39,38,37,36,31,30,29,27,26,22,21,19,16,14,12,11,10,8,5,4,74,73,204,279,56,54,53,52,51,50,49,44,43,41,40,35,34,33,32,28,25,24,23,20,18,17,15,13,9,7,6,69,190])).
% 1.69/1.75  cnf(852,plain,
% 1.69/1.75     (P16(f5(f5(a7,a7),a7),a7)),
% 1.69/1.75     inference(scs_inference,[],[97,128,90,283,95,99,702,352,717,266,160,158,152,182,179,177,155,231,171,166,161,159,157,154,153,181,180,178,176,156,57,55,48,47,46,45,42,39,38,37,36,31,30,29,27,26,22,21,19,16,14,12,11,10,8,5,4,74,73,204,279,56,54,53,52,51,50,49,44,43,41,40,35,34,33,32,28,25,24,23,20,18,17,15,13,9,7,6,69,190,210,265])).
% 1.69/1.75  cnf(855,plain,
% 1.69/1.75     (P16(f5(f5(a2,a2),a2),a1)),
% 1.69/1.75     inference(scs_inference,[],[97,128,90,283,95,99,478,702,504,352,717,266,160,158,152,182,179,177,155,231,171,166,161,159,157,154,153,181,180,178,176,156,57,55,48,47,46,45,42,39,38,37,36,31,30,29,27,26,22,21,19,16,14,12,11,10,8,5,4,74,73,204,279,56,54,53,52,51,50,49,44,43,41,40,35,34,33,32,28,25,24,23,20,18,17,15,13,9,7,6,69,190,210,265,72,80])).
% 1.69/1.75  cnf(893,plain,
% 1.69/1.75     (~P16(a3,a7)),
% 1.69/1.75     inference(scs_inference,[],[97,95,750,772,774,287,226,225,224])).
% 1.69/1.75  cnf(925,plain,
% 1.69/1.75     (~E(a3,f5(a8,a8))),
% 1.69/1.75     inference(scs_inference,[],[97,130,146,98,95,99,283,301,303,847,665,746,786,789,852,670,855,719,750,772,774,287,717,87,226,225,224,197,185,222,199,186,223,71,200,196,229,77,79,265,72,191,80,78,2])).
% 1.69/1.75  cnf(926,plain,
% 1.69/1.75     (E(a2,f53(a8))),
% 1.69/1.75     inference(scs_inference,[],[97,130,146,98,95,99,283,301,303,847,665,746,786,789,852,670,743,855,719,750,772,774,287,717,87,226,225,224,197,185,222,199,186,223,71,200,196,229,77,79,265,72,191,80,78,2,3])).
% 1.69/1.75  cnf(985,plain,
% 1.69/1.75     ($false),
% 1.69/1.75     inference(scs_inference,[],[98,131,748,925,926,893,707,460,87,97,162,608,197,258,231,199,185,204,257,268,189,52]),
% 1.69/1.75     ['proof']).
% 1.69/1.75  % SZS output end Proof
% 1.69/1.75  % Total time :1.070000s
%------------------------------------------------------------------------------