TSTP Solution File: SWC153-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SWC153-1 : 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 : n022.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 20:17:24 EDT 2023

% Result   : Unsatisfiable 1.45s 1.50s
% Output   : CNFRefutation 1.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWC153-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n022.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 18:55:39 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.62  start to proof:theBenchmark
% 1.45/1.49  %-------------------------------------------
% 1.45/1.49  % File        :CSE---1.6
% 1.45/1.49  % Problem     :theBenchmark
% 1.45/1.49  % Transform   :cnf
% 1.45/1.49  % Format      :tptp:raw
% 1.45/1.49  % Command     :java -jar mcs_scs.jar %d %s
% 1.45/1.49  
% 1.45/1.49  % Result      :Theorem 0.740000s
% 1.45/1.49  % Output      :CNFRefutation 0.740000s
% 1.45/1.49  %-------------------------------------------
% 1.45/1.49  %--------------------------------------------------------------------------
% 1.45/1.49  % File     : SWC153-1 : TPTP v8.1.2. Released v2.4.0.
% 1.45/1.49  % Domain   : Software Creation
% 1.45/1.49  % Problem  : cond_pst_cyc_sorted_x_pst_cyc_sorted
% 1.45/1.49  % Version  : [Wei00] axioms.
% 1.45/1.49  % English  : Find components in a software library that match a given target
% 1.45/1.49  %            specification given in first-order logic. The components are
% 1.45/1.49  %            specified in first-order logic as well. The problem represents
% 1.45/1.49  %            a test of one library module specification against a target
% 1.45/1.49  %            specification.
% 1.45/1.49  
% 1.45/1.49  % Refs     : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 1.45/1.49  %          : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 1.45/1.49  % Source   : [TPTP]
% 1.45/1.49  % Names    :
% 1.45/1.49  
% 1.45/1.49  % Status   : Unsatisfiable
% 1.45/1.49  % Rating   : 0.29 v8.1.0, 0.21 v7.5.0, 0.26 v7.4.0, 0.29 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.33 v6.4.0, 0.27 v6.2.0, 0.40 v6.1.0, 0.50 v5.5.0, 0.75 v5.3.0, 0.78 v5.2.0, 0.62 v5.1.0, 0.65 v5.0.0, 0.57 v4.1.0, 0.54 v4.0.1, 0.45 v4.0.0, 0.55 v3.7.0, 0.40 v3.5.0, 0.45 v3.4.0, 0.58 v3.3.0, 0.50 v3.2.0, 0.62 v3.1.0, 0.45 v2.7.0, 0.67 v2.5.0, 0.78 v2.4.0
% 1.45/1.49  % Syntax   : Number of clauses     :  204 (  67 unt;  33 nHn; 161 RR)
% 1.45/1.49  %            Number of literals    :  652 ( 104 equ; 428 neg)
% 1.45/1.49  %            Maximal clause size   :   10 (   3 avg)
% 1.45/1.49  %            Maximal term depth    :    6 (   1 avg)
% 1.45/1.49  %            Number of predicates  :   20 (  19 usr;   0 prp; 1-2 aty)
% 1.45/1.49  %            Number of functors    :   59 (  59 usr;  13 con; 0-2 aty)
% 1.45/1.49  %            Number of variables   :  343 (  49 sgn)
% 1.45/1.49  % SPC      : CNF_UNS_RFO_SEQ_NHN
% 1.45/1.49  
% 1.45/1.49  % Comments : Created by CNF conversion from SWC153+1
% 1.45/1.49  %--------------------------------------------------------------------------
% 1.45/1.49  %----Include list specification axioms
% 1.45/1.49  include('Axioms/SWC001-0.ax').
% 1.45/1.49  %--------------------------------------------------------------------------
% 1.45/1.49  cnf(co1_1,negated_conjecture,
% 1.45/1.49      ssList(sk1) ).
% 1.45/1.49  
% 1.45/1.49  cnf(co1_2,negated_conjecture,
% 1.45/1.49      ssList(sk2) ).
% 1.45/1.49  
% 1.45/1.49  cnf(co1_3,negated_conjecture,
% 1.45/1.49      ssList(sk3) ).
% 1.45/1.49  
% 1.45/1.49  cnf(co1_4,negated_conjecture,
% 1.45/1.49      ssList(sk4) ).
% 1.45/1.49  
% 1.45/1.49  cnf(co1_5,negated_conjecture,
% 1.45/1.49      sk4 = sk2 ).
% 1.45/1.49  
% 1.45/1.49  cnf(co1_6,negated_conjecture,
% 1.45/1.49      sk3 = sk1 ).
% 1.45/1.49  
% 1.45/1.49  cnf(co1_7,negated_conjecture,
% 1.45/1.49      ( ~ ssItem(A)
% 1.45/1.49      | ~ ssItem(B)
% 1.45/1.49      | ~ ssList(C)
% 1.45/1.49      | ~ ssList(D)
% 1.45/1.49      | ~ ssList(E)
% 1.45/1.49      | app(app(app(app(C,cons(A,nil)),D),cons(B,nil)),E) != sk3
% 1.45/1.49      | ~ leq(B,A)
% 1.45/1.49      | leq(A,B) ) ).
% 1.45/1.49  
% 1.45/1.49  cnf(co1_8,negated_conjecture,
% 1.45/1.49      ( ~ ssItem(A)
% 1.45/1.49      | ~ ssItem(B)
% 1.45/1.49      | ~ ssList(C)
% 1.45/1.49      | ~ ssList(D)
% 1.45/1.49      | ~ ssList(E)
% 1.45/1.49      | app(app(app(app(C,cons(A,nil)),D),cons(B,nil)),E) != sk3
% 1.45/1.49      | ~ leq(B,A)
% 1.45/1.49      | ~ ssItem(F)
% 1.45/1.49      | ~ memberP(D,F)
% 1.45/1.49      | leq(A,F) ) ).
% 1.45/1.49  
% 1.45/1.49  cnf(co1_9,negated_conjecture,
% 1.45/1.49      ( ~ ssItem(A)
% 1.45/1.49      | ~ ssItem(B)
% 1.45/1.49      | ~ ssList(C)
% 1.45/1.49      | ~ ssList(D)
% 1.45/1.49      | ~ ssList(E)
% 1.45/1.49      | app(app(app(app(C,cons(A,nil)),D),cons(B,nil)),E) != sk3
% 1.45/1.49      | ~ leq(B,A)
% 1.45/1.49      | ~ ssItem(F)
% 1.45/1.49      | ~ memberP(D,F)
% 1.45/1.49      | leq(F,B) ) ).
% 1.45/1.49  
% 1.45/1.49  cnf(co1_10,negated_conjecture,
% 1.45/1.49      ssItem(sk5) ).
% 1.45/1.50  
% 1.45/1.50  cnf(co1_11,negated_conjecture,
% 1.45/1.50      ssItem(sk6) ).
% 1.45/1.50  
% 1.45/1.50  cnf(co1_12,negated_conjecture,
% 1.45/1.50      ssList(sk7) ).
% 1.45/1.50  
% 1.45/1.50  cnf(co1_13,negated_conjecture,
% 1.45/1.50      ssList(sk8) ).
% 1.45/1.50  
% 1.45/1.50  cnf(co1_14,negated_conjecture,
% 1.45/1.50      ssList(sk9) ).
% 1.45/1.50  
% 1.45/1.50  cnf(co1_15,negated_conjecture,
% 1.45/1.50      app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1 ).
% 1.45/1.50  
% 1.45/1.50  cnf(co1_16,negated_conjecture,
% 1.45/1.50      leq(sk6,sk5) ).
% 1.45/1.50  
% 1.45/1.50  cnf(co1_17,negated_conjecture,
% 1.45/1.50      ( ssItem(sk10)
% 1.45/1.50      | ~ leq(sk5,sk6) ) ).
% 1.45/1.50  
% 1.45/1.50  cnf(co1_18,negated_conjecture,
% 1.45/1.50      ( memberP(sk8,sk10)
% 1.45/1.50      | ~ leq(sk5,sk6) ) ).
% 1.45/1.50  
% 1.45/1.50  cnf(co1_19,negated_conjecture,
% 1.45/1.50      ( ~ leq(sk10,sk6)
% 1.45/1.50      | ~ leq(sk5,sk10)
% 1.45/1.50      | ~ leq(sk5,sk6) ) ).
% 1.45/1.50  
% 1.45/1.50  %--------------------------------------------------------------------------
% 1.45/1.50  %-------------------------------------------
% 1.45/1.50  % Proof found
% 1.45/1.50  % SZS status Theorem for theBenchmark
% 1.45/1.50  % SZS output start Proof
% 1.45/1.50  %ClaNum:289(EqnAxiom:85)
% 1.45/1.50  %VarNum:939(SingletonVarNum:339)
% 1.45/1.50  %MaxLitNum:10
% 1.45/1.50  %MaxfuncDepth:4
% 1.45/1.50  %SharedTerms:49
% 1.45/1.50  %goalClause: 86 87 96 97 98 99 100 101 102 105 106 143 150 163 177 223 287 288 289
% 1.45/1.50  %singleGoalClaCount:13
% 1.45/1.50  [86]E(a1,a2)
% 1.45/1.50  [87]E(a7,a9)
% 1.45/1.50  [88]P1(a3)
% 1.45/1.50  [89]P2(a3)
% 1.45/1.50  [90]P4(a3)
% 1.45/1.50  [91]P18(a3)
% 1.45/1.50  [92]P5(a3)
% 1.45/1.50  [93]P19(a3)
% 1.45/1.50  [94]P3(a3)
% 1.45/1.50  [95]P6(a3)
% 1.45/1.50  [96]P6(a2)
% 1.45/1.50  [97]P6(a7)
% 1.45/1.50  [98]P6(a1)
% 1.45/1.50  [99]P6(a9)
% 1.45/1.50  [100]P6(a10)
% 1.45/1.50  [101]P6(a13)
% 1.45/1.50  [102]P6(a14)
% 1.45/1.50  [103]P7(a15)
% 1.45/1.50  [104]P7(a16)
% 1.45/1.50  [105]P7(a11)
% 1.45/1.50  [106]P7(a12)
% 1.45/1.50  [143]P8(a12,a11)
% 1.45/1.50  [151]~E(a16,a15)
% 1.45/1.50  [152]~P12(a3)
% 1.45/1.50  [150]E(f5(f5(f5(f5(a10,f4(a11,a3)),a13),f4(a12,a3)),a14),a2)
% 1.45/1.50  [107]P6(f17(x1071))
% 1.45/1.50  [108]P6(f18(x1081))
% 1.45/1.50  [109]P6(f19(x1091))
% 1.45/1.50  [110]P6(f20(x1101))
% 1.45/1.50  [111]P6(f21(x1111))
% 1.45/1.50  [112]P6(f22(x1121))
% 1.45/1.50  [113]P6(f23(x1131))
% 1.45/1.50  [114]P6(f24(x1141))
% 1.45/1.50  [115]P6(f25(x1151))
% 1.45/1.50  [116]P6(f26(x1161))
% 1.45/1.50  [117]P6(f27(x1171))
% 1.45/1.50  [118]P6(f28(x1181))
% 1.45/1.50  [119]P6(f29(x1191))
% 1.45/1.50  [120]P6(f30(x1201))
% 1.45/1.50  [121]P6(f31(x1211))
% 1.45/1.50  [122]P6(f32(x1221))
% 1.45/1.50  [123]P6(f33(x1231))
% 1.45/1.50  [124]P6(f34(x1241))
% 1.45/1.50  [125]P6(f35(x1251))
% 1.45/1.50  [126]P6(f36(x1261))
% 1.45/1.50  [127]P6(f37(x1271))
% 1.45/1.50  [128]P7(f58(x1281))
% 1.45/1.50  [129]P7(f56(x1291))
% 1.45/1.50  [130]P7(f57(x1301))
% 1.45/1.50  [131]P7(f55(x1311))
% 1.45/1.50  [132]P7(f53(x1321))
% 1.45/1.50  [133]P7(f54(x1331))
% 1.45/1.50  [134]P7(f51(x1341))
% 1.45/1.50  [135]P7(f52(x1351))
% 1.45/1.50  [136]P7(f49(x1361))
% 1.45/1.50  [137]P7(f50(x1371))
% 1.45/1.50  [138]P7(f47(x1381))
% 1.45/1.50  [139]P7(f48(x1391))
% 1.45/1.50  [140]P7(f38(x1401))
% 1.45/1.50  [141]P7(f39(x1411))
% 1.45/1.50  [142]P7(f40(x1421))
% 1.45/1.50  [144]P6(f43(x1441,x1442))
% 1.45/1.50  [145]P6(f44(x1451,x1452))
% 1.45/1.50  [146]P6(f45(x1461,x1462))
% 1.45/1.50  [147]P6(f46(x1471,x1472))
% 1.45/1.50  [148]P6(f41(x1481,x1482))
% 1.45/1.50  [149]P6(f42(x1491,x1492))
% 1.45/1.50  [163]P7(a8)+~P8(a11,a12)
% 1.45/1.50  [177]~P8(a11,a12)+P15(a13,a8)
% 1.45/1.50  [158]~P6(x1581)+P13(x1581,a3)
% 1.45/1.50  [159]~P6(x1591)+P14(x1591,a3)
% 1.45/1.50  [160]~P6(x1601)+P9(x1601,a3)
% 1.45/1.50  [164]~P7(x1641)+P10(x1641,x1641)
% 1.45/1.50  [165]~P6(x1651)+P13(x1651,x1651)
% 1.45/1.50  [166]~P6(x1661)+P14(x1661,x1661)
% 1.45/1.50  [167]~P6(x1671)+P9(x1671,x1671)
% 1.45/1.50  [168]~P7(x1681)+P8(x1681,x1681)
% 1.45/1.50  [173]~P7(x1731)+~P15(a3,x1731)
% 1.45/1.50  [178]~P16(x1781,x1781)+~P7(x1781)
% 1.45/1.50  [161]~P6(x1611)+E(f5(x1611,a3),x1611)
% 1.45/1.50  [162]~P6(x1621)+E(f5(a3,x1621),x1621)
% 1.45/1.50  [183]~P7(x1831)+P1(f4(x1831,a3))
% 1.45/1.50  [184]~P7(x1841)+P2(f4(x1841,a3))
% 1.45/1.50  [185]~P7(x1851)+P4(f4(x1851,a3))
% 1.45/1.50  [186]~P7(x1861)+P18(f4(x1861,a3))
% 1.45/1.50  [187]~P7(x1871)+P5(f4(x1871,a3))
% 1.45/1.50  [188]~P7(x1881)+P19(f4(x1881,a3))
% 1.45/1.50  [189]~P7(x1891)+P3(f4(x1891,a3))
% 1.45/1.50  [223]~P8(a11,a12)+~P8(a11,a8)+~P8(a8,a12)
% 1.45/1.50  [169]~P6(x1691)+~E(a3,x1691)+P13(a3,x1691)
% 1.45/1.50  [170]~P6(x1701)+~E(a3,x1701)+P14(a3,x1701)
% 1.45/1.50  [171]~P6(x1711)+~E(a3,x1711)+P9(a3,x1711)
% 1.45/1.50  [174]~P6(x1741)+~P13(a3,x1741)+E(a3,x1741)
% 1.45/1.50  [175]~P6(x1751)+~P14(a3,x1751)+E(a3,x1751)
% 1.45/1.50  [176]~P6(x1761)+~P9(a3,x1761)+E(a3,x1761)
% 1.45/1.50  [155]~P6(x1551)+E(a3,x1551)+P6(f59(x1551))
% 1.45/1.50  [157]~P6(x1571)+E(a3,x1571)+P7(f6(x1571))
% 1.45/1.50  [172]~P6(x1721)+P1(x1721)+~E(f57(x1721),f56(x1721))
% 1.45/1.50  [194]~P6(x1941)+P3(x1941)+P8(f38(x1941),f39(x1941))
% 1.45/1.50  [195]~P6(x1951)+P3(x1951)+P8(f39(x1951),f38(x1951))
% 1.45/1.50  [215]~P6(x2151)+P4(x2151)+~P16(f54(x2151),f53(x2151))
% 1.45/1.50  [216]~P6(x2161)+P18(x2161)+~P8(f52(x2161),f51(x2161))
% 1.45/1.50  [217]~P6(x2171)+P5(x2171)+~P16(f49(x2171),f50(x2171))
% 1.45/1.50  [218]~P6(x2181)+P5(x2181)+~P16(f50(x2181),f49(x2181))
% 1.45/1.50  [219]~P6(x2191)+P19(x2191)+~P8(f47(x2191),f48(x2191))
% 1.45/1.50  [220]~P6(x2201)+P19(x2201)+~P8(f48(x2201),f47(x2201))
% 1.45/1.50  [182]~P6(x1821)+~P12(x1821)+E(f4(f40(x1821),a3),x1821)
% 1.45/1.50  [190]~P6(x1901)+E(a3,x1901)+E(f4(f58(x1901),f17(x1901)),x1901)
% 1.45/1.50  [191]~P6(x1911)+E(a3,x1911)+E(f4(f6(x1911),f59(x1911)),x1911)
% 1.45/1.50  [275]P2(x2751)+~P6(x2751)+E(f5(f5(f22(x2751),f4(f55(x2751),f21(x2751))),f4(f55(x2751),f20(x2751))),x2751)
% 1.45/1.50  [276]P4(x2761)+~P6(x2761)+E(f5(f5(f25(x2761),f4(f54(x2761),f24(x2761))),f4(f53(x2761),f23(x2761))),x2761)
% 1.45/1.50  [277]P18(x2771)+~P6(x2771)+E(f5(f5(f28(x2771),f4(f52(x2771),f27(x2771))),f4(f51(x2771),f26(x2771))),x2771)
% 1.45/1.50  [278]P5(x2781)+~P6(x2781)+E(f5(f5(f31(x2781),f4(f50(x2781),f30(x2781))),f4(f49(x2781),f29(x2781))),x2781)
% 1.45/1.50  [279]P19(x2791)+~P6(x2791)+E(f5(f5(f34(x2791),f4(f48(x2791),f33(x2791))),f4(f47(x2791),f32(x2791))),x2791)
% 1.45/1.50  [280]P3(x2801)+~P6(x2801)+E(f5(f5(f37(x2801),f4(f39(x2801),f36(x2801))),f4(f38(x2801),f35(x2801))),x2801)
% 1.45/1.50  [273]P1(x2731)+~P6(x2731)+E(f5(f19(x2731),f4(f57(x2731),f4(f56(x2731),f18(x2731)))),x2731)
% 1.45/1.50  [153]~P6(x1531)+P2(x1531)+P7(x1532)
% 1.45/1.50  [192]~P6(x1922)+~P7(x1921)+~E(f4(x1921,x1922),a3)
% 1.45/1.50  [193]~P6(x1932)+~P7(x1931)+~E(f4(x1931,x1932),x1932)
% 1.45/1.50  [202]~P6(x2022)+~P7(x2021)+P6(f4(x2021,x2022))
% 1.45/1.50  [203]~P6(x2031)+~P6(x2032)+P6(f5(x2031,x2032))
% 1.45/1.50  [204]~P6(x2042)+~P7(x2041)+E(f59(f4(x2041,x2042)),x2042)
% 1.45/1.50  [205]~P6(x2052)+~P7(x2051)+E(f6(f4(x2051,x2052)),x2051)
% 1.45/1.50  [233]~P6(x2332)+~P7(x2331)+E(f5(f4(x2331,a3),x2332),f4(x2331,x2332))
% 1.45/1.50  [179]P17(x1792,x1791)+~P6(x1792)+~P6(x1791)+E(x1791,x1792)
% 1.45/1.50  [180]P17(x1802,x1801)+~P7(x1802)+~P7(x1801)+E(x1801,x1802)
% 1.45/1.50  [199]~P6(x1992)+~P6(x1991)+~P17(x1991,x1992)+~E(x1991,x1992)
% 1.45/1.50  [200]~P7(x2002)+~P7(x2001)+~P16(x2001,x2002)+~E(x2001,x2002)
% 1.45/1.50  [201]~P7(x2012)+~P7(x2011)+~P17(x2011,x2012)+~E(x2011,x2012)
% 1.45/1.50  [210]~P7(x2101)+~P7(x2102)+~P8(x2102,x2101)+P10(x2101,x2102)
% 1.45/1.50  [211]~P7(x2111)+~P7(x2112)+~P10(x2112,x2111)+P8(x2111,x2112)
% 1.45/1.50  [212]~P7(x2122)+~P7(x2121)+~P16(x2121,x2122)+P8(x2121,x2122)
% 1.45/1.50  [213]~P7(x2131)+~P7(x2132)+~P11(x2132,x2131)+P16(x2131,x2132)
% 1.45/1.50  [214]~P7(x2141)+~P7(x2142)+~P16(x2142,x2141)+P11(x2141,x2142)
% 1.45/1.50  [224]~P16(x2241,x2242)+~P16(x2242,x2241)+~P7(x2241)+~P7(x2242)
% 1.45/1.50  [225]~P11(x2251,x2252)+~P11(x2252,x2251)+~P7(x2251)+~P7(x2252)
% 1.45/1.50  [196]~P6(x1961)+~P6(x1962)+E(a3,x1961)+~E(f5(x1962,x1961),a3)
% 1.45/1.50  [197]~P6(x1972)+~P6(x1971)+E(a3,x1971)+~E(f5(x1971,x1972),a3)
% 1.45/1.50  [198]~P6(x1981)+~P7(x1982)+P12(x1981)+~E(f4(x1982,a3),x1981)
% 1.45/1.50  [207]~P6(x2072)+~P7(x2071)+~E(a3,x2072)+P4(f4(x2071,x2072))
% 1.45/1.50  [208]~P6(x2082)+~P7(x2081)+~E(a3,x2082)+P18(f4(x2081,x2082))
% 1.45/1.50  [209]~P6(x2091)+~P6(x2092)+E(a3,x2091)+E(f6(f5(x2091,x2092)),f6(x2091))
% 1.45/1.50  [235]~P6(x2351)+~P6(x2352)+E(a3,x2351)+E(f59(f5(x2351,x2352)),f5(f59(x2351),x2352))
% 1.45/1.50  [242]~P6(x2421)+~P6(x2422)+~P9(x2422,x2421)+E(f5(x2421,f46(x2422,x2421)),x2422)
% 1.45/1.50  [243]~P6(x2432)+~P6(x2431)+~P14(x2431,x2432)+E(f5(f45(x2431,x2432),x2432),x2431)
% 1.45/1.50  [272]~P6(x2722)+~P6(x2721)+~P13(x2721,x2722)+E(f5(f5(f44(x2721,x2722),x2722),f43(x2722,x2721)),x2721)
% 1.45/1.50  [271]~P6(x2711)+~P7(x2712)+~P15(x2711,x2712)+E(f5(f42(x2711,x2712),f4(x2712,f41(x2712,x2711))),x2711)
% 1.45/1.50  [261]~P6(x2613)+~P6(x2612)+~P7(x2611)+E(f5(f4(x2611,x2612),x2613),f4(x2611,f5(x2612,x2613)))
% 1.45/1.50  [262]~P6(x2621)+~P6(x2622)+~P6(x2623)+E(f5(f5(x2621,x2622),x2623),f5(x2621,f5(x2622,x2623)))
% 1.45/1.50  [222]P16(x2221,x2222)+~P7(x2222)+~P7(x2221)+~P8(x2221,x2222)+E(x2221,x2222)
% 1.45/1.50  [228]~P6(x2282)+~P6(x2281)+~P13(x2282,x2281)+~P13(x2281,x2282)+E(x2281,x2282)
% 1.45/1.50  [229]~P6(x2292)+~P6(x2291)+~P14(x2292,x2291)+~P14(x2291,x2292)+E(x2291,x2292)
% 1.45/1.50  [230]~P6(x2302)+~P6(x2301)+~P9(x2302,x2301)+~P9(x2301,x2302)+E(x2301,x2302)
% 1.45/1.50  [231]~P7(x2312)+~P7(x2311)+~P10(x2312,x2311)+~P10(x2311,x2312)+E(x2311,x2312)
% 1.45/1.50  [232]~P7(x2322)+~P7(x2321)+~P8(x2322,x2321)+~P8(x2321,x2322)+E(x2321,x2322)
% 1.45/1.50  [181]~P6(x1812)+~P6(x1811)+~E(a3,x1812)+~E(a3,x1811)+E(f5(x1811,x1812),a3)
% 1.45/1.50  [238]P4(x2381)+~P6(x2381)+~P7(x2382)+E(a3,x2381)+~P4(f4(x2382,x2381))
% 1.45/1.50  [239]P18(x2391)+~P6(x2391)+~P7(x2392)+E(a3,x2391)+~P18(f4(x2392,x2391))
% 1.45/1.50  [252]~P6(x2521)+~P7(x2522)+E(a3,x2521)+P8(x2522,f6(x2521))+~P18(f4(x2522,x2521))
% 1.45/1.50  [253]~P6(x2531)+~P7(x2532)+E(a3,x2531)+P16(x2532,f6(x2531))+~P4(f4(x2532,x2531))
% 1.45/1.50  [226]~P6(x2261)+~P6(x2262)+~P6(x2263)+P14(x2261,x2262)+~E(f5(x2263,x2262),x2261)
% 1.45/1.50  [227]~P6(x2271)+~P6(x2273)+~P6(x2272)+P9(x2271,x2272)+~E(f5(x2272,x2273),x2271)
% 1.45/1.50  [234]~E(x2343,x2341)+~P6(x2342)+~P7(x2341)+~P7(x2343)+P15(f4(x2341,x2342),x2343)
% 1.45/1.50  [236]~P6(x2362)+~P6(x2361)+~P6(x2363)+E(x2361,x2362)+~E(f5(x2363,x2361),f5(x2363,x2362))
% 1.45/1.50  [237]~P6(x2372)+~P6(x2373)+~P6(x2371)+E(x2371,x2372)+~E(f5(x2371,x2373),f5(x2372,x2373))
% 1.45/1.50  [254]~P6(x2541)+~P6(x2543)+~P6(x2542)+~P14(x2542,x2543)+P14(f5(x2541,x2542),x2543)
% 1.45/1.50  [255]~P6(x2552)+~P6(x2553)+~P6(x2551)+~P9(x2551,x2553)+P9(f5(x2551,x2552),x2553)
% 1.45/1.50  [256]~P6(x2562)+~P7(x2561)+~P7(x2563)+~P15(x2562,x2563)+P15(f4(x2561,x2562),x2563)
% 1.45/1.50  [257]~P6(x2571)+~P6(x2572)+~P7(x2573)+~P15(x2572,x2573)+P15(f5(x2571,x2572),x2573)
% 1.45/1.50  [258]~P6(x2582)+~P6(x2581)+~P7(x2583)+~P15(x2581,x2583)+P15(f5(x2581,x2582),x2583)
% 1.45/1.50  [259]~P4(x2591)+~P6(x2591)+~P7(x2592)+~P16(x2592,f6(x2591))+E(a3,x2591)+P4(f4(x2592,x2591))
% 1.45/1.50  [260]~P18(x2601)+~P6(x2601)+~P7(x2602)+~P8(x2602,f6(x2601))+E(a3,x2601)+P18(f4(x2602,x2601))
% 1.45/1.50  [244]~P7(x2442)+~P7(x2441)+~P10(x2443,x2442)+~P10(x2441,x2443)+P10(x2441,x2442)+~P7(x2443)
% 1.45/1.50  [245]~P6(x2452)+~P6(x2451)+~P13(x2453,x2452)+~P13(x2451,x2453)+P13(x2451,x2452)+~P6(x2453)
% 1.45/1.50  [246]~P6(x2462)+~P6(x2461)+~P14(x2463,x2462)+~P14(x2461,x2463)+P14(x2461,x2462)+~P6(x2463)
% 1.45/1.50  [247]~P6(x2472)+~P6(x2471)+~P9(x2473,x2472)+~P9(x2471,x2473)+P9(x2471,x2472)+~P6(x2473)
% 1.45/1.50  [248]~P7(x2482)+~P7(x2481)+~P8(x2483,x2482)+~P8(x2481,x2483)+P8(x2481,x2482)+~P7(x2483)
% 1.45/1.50  [249]~P7(x2492)+~P7(x2491)+~P8(x2491,x2493)+~P16(x2493,x2492)+P16(x2491,x2492)+~P7(x2493)
% 1.45/1.50  [250]~P7(x2502)+~P7(x2501)+~P16(x2503,x2502)+~P16(x2501,x2503)+P16(x2501,x2502)+~P7(x2503)
% 1.45/1.50  [251]~P7(x2512)+~P7(x2511)+~P11(x2513,x2512)+~P11(x2511,x2513)+P11(x2511,x2512)+~P7(x2513)
% 1.45/1.50  [263]~P6(x2633)+~P7(x2632)+~P7(x2631)+E(x2631,x2632)+P15(x2633,x2632)+~P15(f4(x2631,x2633),x2632)
% 1.45/1.50  [266]~P6(x2661)+~P6(x2663)+~P7(x2662)+P15(x2661,x2662)+P15(x2663,x2662)+~P15(f5(x2663,x2661),x2662)
% 1.45/1.50  [240]~P6(x2402)+~P6(x2401)+~P7(x2404)+~P7(x2403)+E(x2401,x2402)+~E(f4(x2403,x2401),f4(x2404,x2402))
% 1.45/1.50  [241]~P6(x2414)+~P6(x2413)+~P7(x2412)+~P7(x2411)+E(x2411,x2412)+~E(f4(x2411,x2413),f4(x2412,x2414))
% 1.45/1.50  [268]~P7(x2682)+~P7(x2681)+E(x2681,x2682)+~P6(x2683)+~P6(x2684)+~P9(f4(x2681,x2684),f4(x2682,x2683))
% 1.45/1.50  [270]~P6(x2702)+~P6(x2701)+P9(x2701,x2702)+~P7(x2703)+~P7(x2704)+~P9(f4(x2704,x2701),f4(x2703,x2702))
% 1.45/1.50  [264]~P6(x2641)+~P6(x2644)+~P6(x2643)+~P7(x2642)+P15(x2641,x2642)+~E(f5(x2643,f4(x2642,x2644)),x2641)
% 1.45/1.50  [265]~P6(x2651)+~P6(x2654)+~P6(x2652)+~P6(x2653)+P13(x2651,x2652)+~E(f5(f5(x2653,x2652),x2654),x2651)
% 1.45/1.50  [269]~P6(x2691)+~P6(x2693)+~P6(x2694)+~P6(x2692)+~P13(x2692,x2694)+P13(f5(f5(x2691,x2692),x2693),x2694)
% 1.45/1.50  [206]~P6(x2062)+~P6(x2061)+E(x2061,x2062)+E(a3,x2062)+E(a3,x2061)+~E(f59(x2061),f59(x2062))+~E(f6(x2061),f6(x2062))
% 1.45/1.50  [267]~E(x2671,x2673)+~P6(x2674)+~P6(x2672)+~P7(x2673)+~P7(x2671)+~P9(x2672,x2674)+P9(f4(x2671,x2672),f4(x2673,x2674))
% 1.45/1.50  [281]~P2(x2815)+~P6(x2815)+~P6(x2814)+~P6(x2813)+~P6(x2811)+~P7(x2812)+~E(f5(f5(x2811,f4(x2812,x2813)),f4(x2812,x2814)),x2815)
% 1.45/1.50  [274]~P1(x2745)+~P6(x2745)+~P6(x2744)+~P6(x2743)+~P7(x2742)+~P7(x2741)+E(x2741,x2742)+~E(f5(x2743,f4(x2741,f4(x2742,x2744))),x2745)
% 1.45/1.50  [287]~P6(x2875)+~P6(x2874)+~P6(x2873)+~P7(x2872)+~P7(x2871)+~P8(x2872,x2871)+P8(x2871,x2872)+~E(f5(f5(f5(f5(x2873,f4(x2871,a3)),x2874),f4(x2872,a3)),x2875),a1)
% 1.45/1.50  [282]~P18(x2826)+~P6(x2826)+~P6(x2825)+~P6(x2824)+~P6(x2823)+~P7(x2822)+~P7(x2821)+P8(x2821,x2822)+~E(f5(f5(x2823,f4(x2821,x2824)),f4(x2822,x2825)),x2826)
% 1.45/1.50  [283]~P4(x2836)+~P6(x2836)+~P6(x2835)+~P6(x2834)+~P6(x2833)+~P7(x2832)+~P7(x2831)+P16(x2831,x2832)+~E(f5(f5(x2833,f4(x2831,x2834)),f4(x2832,x2835)),x2836)
% 1.45/1.50  [284]P8(x2842,x2841)+~P19(x2846)+~P6(x2846)+~P6(x2845)+~P6(x2844)+~P6(x2843)+~P7(x2841)+~P7(x2842)+P8(x2841,x2842)+~E(f5(f5(x2843,f4(x2842,x2844)),f4(x2841,x2845)),x2846)
% 1.45/1.51  [285]P16(x2852,x2851)+~P5(x2856)+~P6(x2856)+~P6(x2855)+~P6(x2854)+~P6(x2853)+~P7(x2851)+~P7(x2852)+P16(x2851,x2852)+~E(f5(f5(x2853,f4(x2852,x2854)),f4(x2851,x2855)),x2856)
% 1.45/1.51  [286]~P3(x2866)+~P6(x2866)+~P6(x2865)+~P6(x2863)+~P6(x2861)+~P7(x2864)+~P7(x2862)+~P8(x2864,x2862)+~P8(x2862,x2864)+~E(f5(f5(x2861,f4(x2862,x2863)),f4(x2864,x2865)),x2866)
% 1.45/1.51  [288]~P6(x2886)+~P6(x2885)+~P6(x2883)+~P7(x2881)+~P7(x2882)+~P7(x2884)+~P8(x2882,x2884)+~P15(x2885,x2881)+P8(x2881,x2882)+~E(f5(f5(f5(f5(x2883,f4(x2884,a3)),x2885),f4(x2882,a3)),x2886),a1)
% 1.45/1.51  [289]~P6(x2896)+~P6(x2894)+~P6(x2893)+~P7(x2892)+~P7(x2895)+~P7(x2891)+~P8(x2895,x2891)+~P15(x2894,x2892)+P8(x2891,x2892)+~E(f5(f5(f5(f5(x2893,f4(x2891,a3)),x2894),f4(x2895,a3)),x2896),a1)
% 1.45/1.51  %EqnAxiom
% 1.45/1.51  [1]E(x11,x11)
% 1.45/1.51  [2]E(x22,x21)+~E(x21,x22)
% 1.45/1.51  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.45/1.51  [4]~E(x41,x42)+E(f17(x41),f17(x42))
% 1.45/1.51  [5]~E(x51,x52)+E(f18(x51),f18(x52))
% 1.45/1.51  [6]~E(x61,x62)+E(f19(x61),f19(x62))
% 1.45/1.51  [7]~E(x71,x72)+E(f20(x71),f20(x72))
% 1.45/1.51  [8]~E(x81,x82)+E(f21(x81),f21(x82))
% 1.45/1.51  [9]~E(x91,x92)+E(f22(x91),f22(x92))
% 1.45/1.51  [10]~E(x101,x102)+E(f23(x101),f23(x102))
% 1.45/1.51  [11]~E(x111,x112)+E(f24(x111),f24(x112))
% 1.45/1.51  [12]~E(x121,x122)+E(f25(x121),f25(x122))
% 1.45/1.51  [13]~E(x131,x132)+E(f26(x131),f26(x132))
% 1.45/1.51  [14]~E(x141,x142)+E(f27(x141),f27(x142))
% 1.45/1.51  [15]~E(x151,x152)+E(f28(x151),f28(x152))
% 1.45/1.51  [16]~E(x161,x162)+E(f29(x161),f29(x162))
% 1.45/1.51  [17]~E(x171,x172)+E(f30(x171),f30(x172))
% 1.45/1.51  [18]~E(x181,x182)+E(f31(x181),f31(x182))
% 1.45/1.51  [19]~E(x191,x192)+E(f32(x191),f32(x192))
% 1.45/1.51  [20]~E(x201,x202)+E(f33(x201),f33(x202))
% 1.45/1.51  [21]~E(x211,x212)+E(f34(x211),f34(x212))
% 1.45/1.51  [22]~E(x221,x222)+E(f35(x221),f35(x222))
% 1.45/1.51  [23]~E(x231,x232)+E(f36(x231),f36(x232))
% 1.45/1.51  [24]~E(x241,x242)+E(f37(x241),f37(x242))
% 1.45/1.51  [25]~E(x251,x252)+E(f58(x251),f58(x252))
% 1.45/1.51  [26]~E(x261,x262)+E(f56(x261),f56(x262))
% 1.45/1.51  [27]~E(x271,x272)+E(f57(x271),f57(x272))
% 1.45/1.51  [28]~E(x281,x282)+E(f55(x281),f55(x282))
% 1.45/1.51  [29]~E(x291,x292)+E(f53(x291),f53(x292))
% 1.45/1.51  [30]~E(x301,x302)+E(f54(x301),f54(x302))
% 1.45/1.51  [31]~E(x311,x312)+E(f51(x311),f51(x312))
% 1.45/1.51  [32]~E(x321,x322)+E(f52(x321),f52(x322))
% 1.45/1.51  [33]~E(x331,x332)+E(f49(x331),f49(x332))
% 1.45/1.51  [34]~E(x341,x342)+E(f50(x341),f50(x342))
% 1.45/1.51  [35]~E(x351,x352)+E(f47(x351),f47(x352))
% 1.45/1.51  [36]~E(x361,x362)+E(f48(x361),f48(x362))
% 1.45/1.51  [37]~E(x371,x372)+E(f38(x371),f38(x372))
% 1.45/1.51  [38]~E(x381,x382)+E(f39(x381),f39(x382))
% 1.45/1.51  [39]~E(x391,x392)+E(f40(x391),f40(x392))
% 1.45/1.51  [40]~E(x401,x402)+E(f43(x401,x403),f43(x402,x403))
% 1.45/1.51  [41]~E(x411,x412)+E(f43(x413,x411),f43(x413,x412))
% 1.45/1.51  [42]~E(x421,x422)+E(f44(x421,x423),f44(x422,x423))
% 1.45/1.51  [43]~E(x431,x432)+E(f44(x433,x431),f44(x433,x432))
% 1.45/1.51  [44]~E(x441,x442)+E(f45(x441,x443),f45(x442,x443))
% 1.45/1.51  [45]~E(x451,x452)+E(f45(x453,x451),f45(x453,x452))
% 1.45/1.51  [46]~E(x461,x462)+E(f46(x461,x463),f46(x462,x463))
% 1.45/1.51  [47]~E(x471,x472)+E(f46(x473,x471),f46(x473,x472))
% 1.45/1.51  [48]~E(x481,x482)+E(f41(x481,x483),f41(x482,x483))
% 1.45/1.51  [49]~E(x491,x492)+E(f41(x493,x491),f41(x493,x492))
% 1.45/1.51  [50]~E(x501,x502)+E(f42(x501,x503),f42(x502,x503))
% 1.45/1.51  [51]~E(x511,x512)+E(f42(x513,x511),f42(x513,x512))
% 1.45/1.51  [52]~E(x521,x522)+E(f4(x521,x523),f4(x522,x523))
% 1.45/1.51  [53]~E(x531,x532)+E(f4(x533,x531),f4(x533,x532))
% 1.45/1.51  [54]~E(x541,x542)+E(f5(x541,x543),f5(x542,x543))
% 1.45/1.51  [55]~E(x551,x552)+E(f5(x553,x551),f5(x553,x552))
% 1.45/1.51  [56]~E(x561,x562)+E(f6(x561),f6(x562))
% 1.45/1.51  [57]~E(x571,x572)+E(f59(x571),f59(x572))
% 1.45/1.51  [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 1.45/1.51  [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 1.45/1.51  [60]~P4(x601)+P4(x602)+~E(x601,x602)
% 1.45/1.51  [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 1.45/1.51  [62]~P5(x621)+P5(x622)+~E(x621,x622)
% 1.45/1.51  [63]~P19(x631)+P19(x632)+~E(x631,x632)
% 1.45/1.51  [64]~P3(x641)+P3(x642)+~E(x641,x642)
% 1.45/1.51  [65]~P6(x651)+P6(x652)+~E(x651,x652)
% 1.45/1.51  [66]~P7(x661)+P7(x662)+~E(x661,x662)
% 1.45/1.51  [67]P9(x672,x673)+~E(x671,x672)+~P9(x671,x673)
% 1.45/1.51  [68]P9(x683,x682)+~E(x681,x682)+~P9(x683,x681)
% 1.45/1.51  [69]P8(x692,x693)+~E(x691,x692)+~P8(x691,x693)
% 1.45/1.51  [70]P8(x703,x702)+~E(x701,x702)+~P8(x703,x701)
% 1.45/1.51  [71]P16(x712,x713)+~E(x711,x712)+~P16(x711,x713)
% 1.45/1.51  [72]P16(x723,x722)+~E(x721,x722)+~P16(x723,x721)
% 1.45/1.51  [73]P15(x732,x733)+~E(x731,x732)+~P15(x731,x733)
% 1.45/1.51  [74]P15(x743,x742)+~E(x741,x742)+~P15(x743,x741)
% 1.45/1.51  [75]P14(x752,x753)+~E(x751,x752)+~P14(x751,x753)
% 1.45/1.51  [76]P14(x763,x762)+~E(x761,x762)+~P14(x763,x761)
% 1.45/1.51  [77]P17(x772,x773)+~E(x771,x772)+~P17(x771,x773)
% 1.45/1.51  [78]P17(x783,x782)+~E(x781,x782)+~P17(x783,x781)
% 1.45/1.51  [79]~P12(x791)+P12(x792)+~E(x791,x792)
% 1.45/1.51  [80]P11(x802,x803)+~E(x801,x802)+~P11(x801,x803)
% 1.45/1.51  [81]P11(x813,x812)+~E(x811,x812)+~P11(x813,x811)
% 1.45/1.51  [82]P10(x822,x823)+~E(x821,x822)+~P10(x821,x823)
% 1.45/1.51  [83]P10(x833,x832)+~E(x831,x832)+~P10(x833,x831)
% 1.45/1.51  [84]P13(x842,x843)+~E(x841,x842)+~P13(x841,x843)
% 1.45/1.51  [85]P13(x853,x852)+~E(x851,x852)+~P13(x853,x851)
% 1.45/1.51  
% 1.45/1.51  %-------------------------------------------
% 1.45/1.51  cnf(290,plain,
% 1.45/1.51     (E(a2,a1)),
% 1.45/1.51     inference(scs_inference,[],[86,2])).
% 1.45/1.51  cnf(291,plain,
% 1.45/1.51     (~P16(a11,a11)),
% 1.45/1.51     inference(scs_inference,[],[86,105,2,178])).
% 1.45/1.51  cnf(294,plain,
% 1.45/1.51     (~P15(a3,a11)),
% 1.45/1.51     inference(scs_inference,[],[86,105,106,143,2,178,210,173])).
% 1.45/1.51  cnf(296,plain,
% 1.45/1.51     (P8(a11,a11)),
% 1.45/1.51     inference(scs_inference,[],[86,105,106,143,2,178,210,173,168])).
% 1.45/1.51  cnf(298,plain,
% 1.45/1.51     (P9(a2,a2)),
% 1.45/1.51     inference(scs_inference,[],[86,96,105,106,143,2,178,210,173,168,167])).
% 1.45/1.51  cnf(300,plain,
% 1.45/1.51     (P14(a2,a2)),
% 1.45/1.51     inference(scs_inference,[],[86,96,105,106,143,2,178,210,173,168,167,166])).
% 1.45/1.51  cnf(302,plain,
% 1.45/1.51     (P13(a2,a2)),
% 1.45/1.51     inference(scs_inference,[],[86,96,105,106,143,2,178,210,173,168,167,166,165])).
% 1.45/1.51  cnf(304,plain,
% 1.45/1.51     (P10(a11,a11)),
% 1.45/1.51     inference(scs_inference,[],[86,96,105,106,143,2,178,210,173,168,167,166,165,164])).
% 1.45/1.51  cnf(306,plain,
% 1.45/1.51     (P9(a2,a3)),
% 1.45/1.51     inference(scs_inference,[],[86,96,105,106,143,2,178,210,173,168,167,166,165,164,160])).
% 1.45/1.51  cnf(310,plain,
% 1.45/1.51     (P13(a2,a3)),
% 1.45/1.51     inference(scs_inference,[],[86,96,105,106,143,2,178,210,173,168,167,166,165,164,160,159,158])).
% 1.45/1.51  cnf(361,plain,
% 1.45/1.51     (E(f56(a1),f56(a2))),
% 1.45/1.51     inference(scs_inference,[],[86,96,105,106,143,2,178,210,173,168,167,166,165,164,160,159,158,189,188,187,186,185,184,183,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26])).
% 1.45/1.51  cnf(362,plain,
% 1.45/1.51     (E(f58(a1),f58(a2))),
% 1.45/1.51     inference(scs_inference,[],[86,96,105,106,143,2,178,210,173,168,167,166,165,164,160,159,158,189,188,187,186,185,184,183,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25])).
% 1.45/1.51  cnf(384,plain,
% 1.45/1.51     (~P15(a3,x3841)+~E(x3841,a11)),
% 1.45/1.51     inference(scs_inference,[],[86,96,105,106,143,2,178,210,173,168,167,166,165,164,160,159,158,189,188,187,186,185,184,183,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,74])).
% 1.45/1.51  cnf(385,plain,
% 1.45/1.51     (E(f6(f4(a11,a2)),a11)),
% 1.45/1.51     inference(scs_inference,[],[86,96,105,106,143,2,178,210,173,168,167,166,165,164,160,159,158,189,188,187,186,185,184,183,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,74,205])).
% 1.45/1.51  cnf(389,plain,
% 1.45/1.51     (P6(f5(a2,a2))),
% 1.45/1.51     inference(scs_inference,[],[86,96,105,106,143,2,178,210,173,168,167,166,165,164,160,159,158,189,188,187,186,185,184,183,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,74,205,204,203])).
% 1.45/1.51  cnf(391,plain,
% 1.45/1.51     (P6(f4(a11,a2))),
% 1.45/1.51     inference(scs_inference,[],[86,96,105,106,143,2,178,210,173,168,167,166,165,164,160,159,158,189,188,187,186,185,184,183,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,74,205,204,203,202])).
% 1.45/1.51  cnf(393,plain,
% 1.45/1.51     (~E(f4(a11,a2),a2)),
% 1.45/1.51     inference(scs_inference,[],[86,96,105,106,143,2,178,210,173,168,167,166,165,164,160,159,158,189,188,187,186,185,184,183,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,74,205,204,203,202,193])).
% 1.45/1.51  cnf(395,plain,
% 1.45/1.51     (~E(f4(a11,a2),a3)),
% 1.45/1.51     inference(scs_inference,[],[86,96,105,106,143,2,178,210,173,168,167,166,165,164,160,159,158,189,188,187,186,185,184,183,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,74,205,204,203,202,193,192])).
% 1.45/1.51  cnf(399,plain,
% 1.45/1.51     (~P11(a11,a11)),
% 1.45/1.51     inference(scs_inference,[],[86,96,105,106,143,2,178,210,173,168,167,166,165,164,160,159,158,189,188,187,186,185,184,183,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,74,205,204,203,202,193,192,233,225])).
% 1.45/1.51  cnf(401,plain,
% 1.45/1.51     (~P16(a12,a12)),
% 1.45/1.51     inference(scs_inference,[],[86,96,105,106,143,2,178,210,173,168,167,166,165,164,160,159,158,189,188,187,186,185,184,183,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,74,205,204,203,202,193,192,233,225,224])).
% 1.45/1.51  cnf(405,plain,
% 1.45/1.51     (~P17(a1,a2)),
% 1.45/1.51     inference(scs_inference,[],[86,96,98,105,106,143,2,178,210,173,168,167,166,165,164,160,159,158,189,188,187,186,185,184,183,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,74,205,204,203,202,193,192,233,225,224,213,199])).
% 1.45/1.51  cnf(409,plain,
% 1.45/1.51     (P17(a2,f4(a11,a2))),
% 1.45/1.51     inference(scs_inference,[],[86,96,98,105,106,143,103,104,151,2,178,210,173,168,167,166,165,164,160,159,158,189,188,187,186,185,184,183,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,74,205,204,203,202,193,192,233,225,224,213,199,180,179])).
% 1.45/1.51  cnf(417,plain,
% 1.45/1.51     (E(f5(f45(a2,a2),a2),a2)),
% 1.45/1.51     inference(scs_inference,[],[86,96,98,105,106,143,95,103,104,151,152,2,178,210,173,168,167,166,165,164,160,159,158,189,188,187,186,185,184,183,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,74,205,204,203,202,193,192,233,225,224,213,199,180,179,198,262,261,243])).
% 1.45/1.51  cnf(419,plain,
% 1.45/1.51     (E(f5(a2,f46(a2,a2)),a2)),
% 1.45/1.51     inference(scs_inference,[],[86,96,98,105,106,143,95,103,104,151,152,2,178,210,173,168,167,166,165,164,160,159,158,189,188,187,186,185,184,183,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,74,205,204,203,202,193,192,233,225,224,213,199,180,179,198,262,261,243,242])).
% 1.45/1.51  cnf(423,plain,
% 1.45/1.51     (P9(f5(a2,a2),a2)),
% 1.45/1.51     inference(scs_inference,[],[86,96,98,105,106,143,95,103,104,151,152,2,178,210,173,168,167,166,165,164,160,159,158,189,188,187,186,185,184,183,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,74,205,204,203,202,193,192,233,225,224,213,199,180,179,198,262,261,243,242,272,255])).
% 1.45/1.51  cnf(425,plain,
% 1.45/1.51     (P14(f5(a2,a2),a2)),
% 1.45/1.51     inference(scs_inference,[],[86,96,98,105,106,143,95,103,104,151,152,2,178,210,173,168,167,166,165,164,160,159,158,189,188,187,186,185,184,183,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,74,205,204,203,202,193,192,233,225,224,213,199,180,179,198,262,261,243,242,272,255,254])).
% 1.45/1.51  cnf(431,plain,
% 1.45/1.51     (~P16(a11,a12)),
% 1.45/1.51     inference(scs_inference,[],[86,96,98,105,106,143,95,103,104,151,152,2,178,210,173,168,167,166,165,164,160,159,158,189,188,187,186,185,184,183,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,74,205,204,203,202,193,192,233,225,224,213,199,180,179,198,262,261,243,242,272,255,254,237,236,249])).
% 1.45/1.51  cnf(433,plain,
% 1.45/1.51     (P13(f5(f5(a2,a2),a2),a2)),
% 1.45/1.51     inference(scs_inference,[],[86,96,98,105,106,143,95,103,104,151,152,2,178,210,173,168,167,166,165,164,160,159,158,189,188,187,186,185,184,183,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,74,205,204,203,202,193,192,233,225,224,213,199,180,179,198,262,261,243,242,272,255,254,237,236,249,269])).
% 1.45/1.51  cnf(451,plain,
% 1.45/1.51     (~P13(x4511,a1)+P13(x4511,a2)+~E(a15,a11)),
% 1.45/1.51     inference(scs_inference,[],[86,96,98,105,106,143,88,89,95,103,104,151,152,2,178,210,173,168,167,166,165,164,160,159,158,189,188,187,186,185,184,183,162,161,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,74,205,204,203,202,193,192,233,225,224,213,199,180,179,198,262,261,243,242,272,255,254,237,236,249,269,266,264,263,268,241,240,281,274,85])).
% 1.45/1.51  cnf(464,plain,
% 1.45/1.51     (~P15(a3,f6(f4(a11,a2)))),
% 1.45/1.51     inference(scs_inference,[],[385,384])).
% 1.45/1.51  cnf(466,plain,
% 1.45/1.51     (P9(a1,a2)),
% 1.45/1.51     inference(scs_inference,[],[290,423,385,298,384,68,67])).
% 1.45/1.51  cnf(467,plain,
% 1.45/1.51     (E(f5(f5(f5(f5(a10,f4(a11,a3)),a13),f4(a12,a3)),a14),a1)),
% 1.45/1.51     inference(scs_inference,[],[150,290,423,385,298,384,68,67,3])).
% 1.45/1.51  cnf(472,plain,
% 1.45/1.51     (E(f6(f4(f58(x4721),a9)),f58(x4721))),
% 1.45/1.51     inference(scs_inference,[],[99,90,92,150,128,106,95,105,291,290,423,385,298,401,384,68,67,3,283,285,205])).
% 1.45/1.51  cnf(476,plain,
% 1.45/1.51     (P6(f4(f58(x4761),a9))),
% 1.45/1.51     inference(scs_inference,[],[99,90,92,150,128,106,95,105,291,290,423,385,298,401,384,68,67,3,283,285,205,203,202])).
% 1.45/1.51  cnf(480,plain,
% 1.45/1.51     (P17(a3,f4(a11,a2))),
% 1.45/1.51     inference(scs_inference,[],[99,90,92,150,128,106,95,105,391,291,290,395,423,385,298,401,384,68,67,3,283,285,205,203,202,192,179])).
% 1.45/1.51  cnf(486,plain,
% 1.45/1.51     (P14(a1,a2)),
% 1.45/1.51     inference(scs_inference,[],[99,90,92,150,128,88,106,103,104,151,95,105,391,291,290,300,302,395,423,385,298,401,384,68,67,3,283,285,205,203,202,192,179,274,85,76,75])).
% 1.45/1.51  cnf(489,plain,
% 1.45/1.51     (~E(f4(f58(x4891),a9),a9)),
% 1.45/1.51     inference(scs_inference,[],[99,90,92,150,128,88,106,103,104,151,95,105,391,291,290,300,302,395,423,385,298,401,384,68,67,3,283,285,205,203,202,192,179,274,85,76,75,204,193])).
% 1.45/1.51  cnf(501,plain,
% 1.45/1.51     (~E(a15,a16)),
% 1.45/1.51     inference(scs_inference,[],[99,90,92,150,128,88,89,152,106,103,104,151,95,105,391,291,290,300,302,395,423,385,298,401,384,68,67,3,283,285,205,203,202,192,179,274,85,76,75,204,193,233,198,262,261,281,2])).
% 1.45/1.51  cnf(511,plain,
% 1.45/1.51     (P13(f5(f5(a1,a1),a1),a1)),
% 1.45/1.51     inference(scs_inference,[],[99,90,92,150,128,88,89,98,143,152,106,103,104,151,95,105,96,391,291,290,300,302,409,395,423,385,298,401,384,68,67,3,283,285,205,203,202,192,179,274,85,76,75,204,193,233,198,262,261,281,2,84,77,69,246,245,254,269])).
% 1.45/1.51  cnf(521,plain,
% 1.45/1.51     (~P16(a11,f6(f4(a11,a2)))),
% 1.45/1.51     inference(scs_inference,[],[99,90,92,150,128,88,89,98,143,152,106,103,104,151,95,105,96,391,291,290,300,302,399,409,395,423,385,298,401,384,68,67,3,283,285,205,203,202,192,179,274,85,76,75,204,193,233,198,262,261,281,2,84,77,69,246,245,254,269,81,80,199,243,272,72])).
% 1.45/1.51  cnf(522,plain,
% 1.45/1.51     (~P16(f6(f4(a11,a2)),a11)),
% 1.45/1.51     inference(scs_inference,[],[99,90,92,150,128,88,89,98,143,152,106,103,104,151,95,105,96,391,291,290,300,302,399,409,395,423,385,298,401,384,68,67,3,283,285,205,203,202,192,179,274,85,76,75,204,193,233,198,262,261,281,2,84,77,69,246,245,254,269,81,80,199,243,272,72,71])).
% 1.45/1.51  cnf(542,plain,
% 1.45/1.51     (P14(a2,f46(a2,a2))),
% 1.45/1.51     inference(scs_inference,[],[147,96,419,226])).
% 1.45/1.51  cnf(543,plain,
% 1.45/1.51     (P6(f46(x5431,x5432))),
% 1.45/1.51     inference(rename_variables,[],[147])).
% 1.45/1.51  cnf(545,plain,
% 1.45/1.51     (P9(a1,a1)),
% 1.45/1.51     inference(scs_inference,[],[147,290,96,419,466,226,68])).
% 1.45/1.51  cnf(558,plain,
% 1.45/1.51     (~E(a3,f4(a11,a2))),
% 1.45/1.51     inference(scs_inference,[],[87,100,147,129,89,152,104,103,290,98,95,96,419,501,480,489,306,466,486,391,226,68,67,180,3,198,262,281,254,199])).
% 1.45/1.51  cnf(562,plain,
% 1.45/1.51     (E(a9,a7)),
% 1.45/1.51     inference(scs_inference,[],[87,100,147,129,89,152,104,103,290,98,95,96,419,501,480,489,306,466,486,391,226,68,67,180,3,198,262,281,254,199,261,2])).
% 1.45/1.51  cnf(565,plain,
% 1.45/1.51     (P7(f6(f4(a11,a2)))),
% 1.45/1.51     inference(scs_inference,[],[87,100,147,129,89,152,104,103,290,98,95,96,419,501,480,489,511,306,466,486,405,391,226,68,67,180,3,198,262,281,254,199,261,2,77,451,157])).
% 1.45/1.51  cnf(569,plain,
% 1.45/1.51     (E(f4(f6(f4(a11,a2)),f59(f4(a11,a2))),f4(a11,a2))),
% 1.45/1.51     inference(scs_inference,[],[87,100,147,129,89,152,104,103,290,98,95,96,419,501,480,489,511,306,466,486,405,391,226,68,67,180,3,198,262,281,254,199,261,2,77,451,157,155,191])).
% 1.45/1.51  cnf(571,plain,
% 1.45/1.51     (E(f4(f58(f4(a11,a2)),f17(f4(a11,a2))),f4(a11,a2))),
% 1.45/1.51     inference(scs_inference,[],[87,100,147,129,89,152,104,103,290,98,95,96,419,501,480,489,511,306,466,486,405,391,226,68,67,180,3,198,262,281,254,199,261,2,77,451,157,155,191,190])).
% 1.45/1.51  cnf(577,plain,
% 1.45/1.51     (E(f6(f5(f4(a11,a2),a10)),f6(f4(a11,a2)))),
% 1.45/1.51     inference(scs_inference,[],[87,100,147,129,89,152,104,103,290,98,95,96,419,501,480,489,511,306,466,486,405,391,226,68,67,180,3,198,262,281,254,199,261,2,77,451,157,155,191,190,197,196,209])).
% 1.45/1.51  cnf(581,plain,
% 1.45/1.51     (P9(a2,f45(a2,a2))),
% 1.45/1.51     inference(scs_inference,[],[87,100,146,147,129,89,152,104,103,290,98,95,96,419,417,501,480,489,511,306,466,486,405,391,226,68,67,180,3,198,262,281,254,199,261,2,77,451,157,155,191,190,197,196,209,235,227])).
% 1.45/1.51  cnf(584,plain,
% 1.45/1.51     (E(f5(a1,f46(a1,a1)),a1)),
% 1.45/1.51     inference(scs_inference,[],[87,100,146,147,129,89,152,104,103,290,98,95,96,419,417,501,480,489,511,306,466,486,405,391,226,68,67,180,3,198,262,281,254,199,261,2,77,451,157,155,191,190,197,196,209,235,227,242])).
% 1.45/1.51  cnf(586,plain,
% 1.45/1.51     (P17(a7,f4(f58(x5861),a9))),
% 1.45/1.51     inference(scs_inference,[],[87,100,97,146,147,129,89,152,104,103,290,98,95,96,419,476,417,501,480,489,511,306,466,486,405,391,226,68,67,180,3,198,262,281,254,199,261,2,77,451,157,155,191,190,197,196,209,235,227,242,179])).
% 1.45/1.51  cnf(595,plain,
% 1.45/1.51     (~P9(a3,f4(a11,a2))),
% 1.45/1.51     inference(scs_inference,[],[87,100,97,146,147,543,129,92,89,152,104,103,290,98,95,105,96,419,476,417,501,480,489,521,522,511,306,310,466,486,405,391,226,68,67,180,3,198,262,281,254,199,261,2,77,451,157,155,191,190,197,196,209,235,227,242,179,285,243,272,176])).
% 1.45/1.51  cnf(597,plain,
% 1.45/1.51     (~P14(a3,f4(a11,a2))),
% 1.45/1.51     inference(scs_inference,[],[87,100,97,146,147,543,129,92,89,152,104,103,290,98,95,105,96,419,476,417,501,480,489,521,522,511,306,310,466,486,405,391,226,68,67,180,3,198,262,281,254,199,261,2,77,451,157,155,191,190,197,196,209,235,227,242,179,285,243,272,176,175])).
% 1.45/1.51  cnf(599,plain,
% 1.45/1.51     (~P13(a3,f4(a11,a2))),
% 1.45/1.51     inference(scs_inference,[],[87,100,97,146,147,543,129,92,89,152,104,103,290,98,95,105,96,419,476,417,501,480,489,521,522,511,306,310,466,486,405,391,226,68,67,180,3,198,262,281,254,199,261,2,77,451,157,155,191,190,197,196,209,235,227,242,179,285,243,272,176,175,174])).
% 1.45/1.51  cnf(603,plain,
% 1.45/1.51     (~P17(f56(x6031),f56(x6031))),
% 1.45/1.51     inference(scs_inference,[],[87,100,97,146,147,543,129,92,89,152,104,103,290,98,95,105,96,419,476,417,501,480,489,521,522,511,306,310,466,486,405,391,226,68,67,180,3,198,262,281,254,199,261,2,77,451,157,155,191,190,197,196,209,235,227,242,179,285,243,272,176,175,174,212,201])).
% 1.45/1.51  cnf(605,plain,
% 1.45/1.51     (~P16(f56(x6051),f56(x6051))),
% 1.45/1.51     inference(scs_inference,[],[87,100,97,146,147,543,129,92,89,152,104,103,290,98,95,105,96,419,476,417,501,480,489,521,522,511,306,310,466,486,405,391,226,68,67,180,3,198,262,281,254,199,261,2,77,451,157,155,191,190,197,196,209,235,227,242,179,285,243,272,176,175,174,212,201,200])).
% 1.45/1.51  cnf(630,plain,
% 1.45/1.51     (P6(f17(x6301))),
% 1.45/1.51     inference(rename_variables,[],[107])).
% 1.45/1.51  cnf(631,plain,
% 1.45/1.51     (P7(f58(x6311))),
% 1.45/1.51     inference(rename_variables,[],[128])).
% 1.45/1.51  cnf(640,plain,
% 1.45/1.51     (E(f58(f4(a11,a2)),a11)),
% 1.45/1.51     inference(scs_inference,[],[101,107,630,147,128,631,98,95,105,96,571,558,565,545,595,584,521,385,391,253,197,235,227,255,240,201,209,226,241])).
% 1.45/1.51  cnf(649,plain,
% 1.45/1.51     (P7(f56(x6491))),
% 1.45/1.51     inference(rename_variables,[],[129])).
% 1.45/1.51  cnf(668,plain,
% 1.45/1.51     (P15(f4(a11,a13),f6(f4(a11,a2)))),
% 1.45/1.51     inference(scs_inference,[],[87,101,107,630,130,150,97,146,147,90,92,89,128,631,129,649,98,95,99,105,96,605,571,393,558,464,577,565,545,595,597,599,581,586,584,562,521,385,391,253,197,235,227,255,240,201,209,226,241,242,74,213,60,285,76,68,180,85,3,199,281,2,77,171,234])).
% 1.45/1.51  cnf(674,plain,
% 1.45/1.51     (P8(a11,a12)),
% 1.45/1.51     inference(scs_inference,[],[87,101,102,107,630,130,150,97,146,147,90,92,143,89,106,128,631,129,649,98,100,95,99,105,96,605,571,393,558,464,577,565,545,595,597,599,581,586,467,584,562,521,385,391,253,197,235,227,255,240,201,209,226,241,242,74,213,60,285,76,68,180,85,3,199,281,2,77,171,234,265,270,287])).
% 1.45/1.51  cnf(681,plain,
% 1.45/1.51     (P15(a13,a8)),
% 1.45/1.51     inference(scs_inference,[],[87,101,102,107,630,130,150,97,146,147,90,92,143,89,106,128,631,129,649,98,100,95,99,105,96,603,605,571,393,558,464,577,565,425,361,545,595,597,599,581,586,467,584,562,296,389,521,385,391,253,197,235,227,255,240,201,209,226,241,242,74,213,60,285,76,68,180,85,3,199,281,2,77,171,234,265,270,287,69,73,78,254,177])).
% 1.45/1.51  cnf(682,plain,
% 1.45/1.51     (P7(a8)),
% 1.45/1.51     inference(scs_inference,[],[87,101,102,107,630,130,150,97,146,147,90,92,143,89,106,128,631,129,649,98,100,95,99,105,96,603,605,571,393,558,464,577,565,425,361,545,595,597,599,581,586,467,584,562,296,389,521,385,391,253,197,235,227,255,240,201,209,226,241,242,74,213,60,285,76,68,180,85,3,199,281,2,77,171,234,265,270,287,69,73,78,254,177,163])).
% 1.45/1.51  cnf(683,plain,
% 1.45/1.51     (E(a11,a12)),
% 1.45/1.51     inference(scs_inference,[],[87,101,102,107,630,130,150,97,146,147,90,92,143,89,106,128,631,129,649,98,100,95,99,105,96,603,605,571,393,558,464,577,565,425,361,431,545,595,597,599,581,586,467,584,562,296,389,521,385,391,253,197,235,227,255,240,201,209,226,241,242,74,213,60,285,76,68,180,85,3,199,281,2,77,171,234,265,270,287,69,73,78,254,177,163,222])).
% 1.45/1.51  cnf(694,plain,
% 1.45/1.51     (~P8(a11,a8)+~P8(a8,a12)),
% 1.45/1.51     inference(scs_inference,[],[674,223])).
% 1.45/1.51  cnf(725,plain,
% 1.45/1.51     (P8(a11,a8)),
% 1.45/1.51     inference(scs_inference,[],[96,131,102,150,147,143,89,128,106,290,101,98,100,95,105,569,294,433,472,542,668,362,683,640,681,682,304,425,467,597,389,595,385,234,246,82,70,271,256,200,83,74,73,281,68,85,76,3,199,2,182,289])).
% 1.45/1.51  cnf(727,plain,
% 1.45/1.51     (P8(a8,a12)),
% 1.45/1.51     inference(scs_inference,[],[96,131,102,150,147,143,89,128,106,290,101,98,100,95,105,569,294,433,472,542,668,362,683,640,681,682,304,425,467,597,389,595,385,234,246,82,70,271,256,200,83,74,73,281,68,85,76,3,199,2,182,289,288])).
% 1.45/1.51  cnf(752,plain,
% 1.45/1.51     ($false),
% 1.45/1.51     inference(scs_inference,[],[725,727,694]),
% 1.45/1.51     ['proof']).
% 1.45/1.51  % SZS output end Proof
% 1.45/1.51  % Total time :0.740000s
%------------------------------------------------------------------------------