TSTP Solution File: SWC130-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SWC130-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n008.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 20:17:14 EDT 2023

% Result   : Unsatisfiable 0.85s 0.92s
% Output   : CNFRefutation 0.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWC130-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35  % Computer : n008.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 28 15:50:17 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.21/0.59  start to proof:theBenchmark
% 0.85/0.91  %-------------------------------------------
% 0.85/0.92  % File        :CSE---1.6
% 0.85/0.92  % Problem     :theBenchmark
% 0.85/0.92  % Transform   :cnf
% 0.85/0.92  % Format      :tptp:raw
% 0.85/0.92  % Command     :java -jar mcs_scs.jar %d %s
% 0.85/0.92  
% 0.85/0.92  % Result      :Theorem 0.220000s
% 0.85/0.92  % Output      :CNFRefutation 0.220000s
% 0.85/0.92  %-------------------------------------------
% 0.85/0.92  %--------------------------------------------------------------------------
% 0.85/0.92  % File     : SWC130-1 : TPTP v8.1.2. Released v2.4.0.
% 0.85/0.92  % Domain   : Software Creation
% 0.85/0.92  % Problem  : cond_pr_works_on_cycles_x_head1
% 0.85/0.92  % Version  : [Wei00] axioms.
% 0.85/0.92  % English  : Find components in a software library that match a given target
% 0.85/0.92  %            specification given in first-order logic. The components are
% 0.85/0.92  %            specified in first-order logic as well. The problem represents
% 0.85/0.92  %            a test of one library module specification against a target
% 0.85/0.92  %            specification.
% 0.85/0.92  
% 0.85/0.92  % Refs     : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.85/0.92  %          : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.85/0.92  % Source   : [TPTP]
% 0.85/0.92  % Names    :
% 0.85/0.92  
% 0.85/0.92  % Status   : Unsatisfiable
% 0.85/0.92  % Rating   : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.30 v5.3.0, 0.28 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.14 v4.1.0, 0.08 v4.0.1, 0.09 v4.0.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.07 v3.2.0, 0.15 v3.1.0, 0.09 v2.7.0, 0.17 v2.6.0, 0.11 v2.4.0
% 0.85/0.92  % Syntax   : Number of clauses     :  193 (  62 unt;  33 nHn; 150 RR)
% 0.85/0.92  %            Number of literals    :  612 ( 100 equ; 400 neg)
% 0.85/0.92  %            Maximal clause size   :   10 (   3 avg)
% 0.85/0.92  %            Maximal term depth    :    5 (   1 avg)
% 0.85/0.92  %            Number of predicates  :   20 (  19 usr;   0 prp; 1-2 aty)
% 0.85/0.92  %            Number of functors    :   53 (  53 usr;   7 con; 0-2 aty)
% 0.85/0.92  %            Number of variables   :  326 (  49 sgn)
% 0.85/0.92  % SPC      : CNF_UNS_RFO_SEQ_NHN
% 0.85/0.92  
% 0.85/0.92  % Comments : Created by CNF conversion from SWC130+1
% 0.85/0.92  %--------------------------------------------------------------------------
% 0.85/0.92  %----Include list specification axioms
% 0.85/0.92  include('Axioms/SWC001-0.ax').
% 0.85/0.92  %--------------------------------------------------------------------------
% 0.85/0.92  cnf(co1_1,negated_conjecture,
% 0.85/0.92      ssList(sk1) ).
% 0.85/0.92  
% 0.85/0.92  cnf(co1_2,negated_conjecture,
% 0.85/0.92      ssList(sk2) ).
% 0.85/0.92  
% 0.85/0.92  cnf(co1_3,negated_conjecture,
% 0.85/0.92      ssList(sk3) ).
% 0.85/0.92  
% 0.85/0.92  cnf(co1_4,negated_conjecture,
% 0.85/0.92      ssList(sk4) ).
% 0.85/0.92  
% 0.85/0.92  cnf(co1_5,negated_conjecture,
% 0.85/0.92      sk2 = sk4 ).
% 0.85/0.92  
% 0.85/0.92  cnf(co1_6,negated_conjecture,
% 0.85/0.92      sk1 = sk3 ).
% 0.85/0.92  
% 0.85/0.92  cnf(co1_7,negated_conjecture,
% 0.85/0.92      ~ neq(sk4,nil) ).
% 0.85/0.92  
% 0.85/0.92  cnf(co1_8,negated_conjecture,
% 0.85/0.92      ~ cyclefreeP(sk2) ).
% 0.85/0.92  
% 0.85/0.92  %--------------------------------------------------------------------------
% 0.85/0.92  %-------------------------------------------
% 0.85/0.92  % Proof found
% 0.85/0.92  % SZS status Theorem for theBenchmark
% 0.85/0.92  % SZS output start Proof
% 0.85/0.92  %ClaNum:278(EqnAxiom:85)
% 0.85/0.92  %VarNum:891(SingletonVarNum:322)
% 0.85/0.92  %MaxLitNum:10
% 0.85/0.92  %MaxfuncDepth:4
% 0.85/0.92  %SharedTerms:27
% 0.85/0.92  %goalClause: 86 87 96 97 98 99 145 147
% 0.85/0.92  %singleGoalClaCount:8
% 0.85/0.92  [86]E(a1,a2)
% 0.85/0.92  [87]E(a7,a8)
% 0.85/0.92  [88]P1(a3)
% 0.85/0.92  [89]P2(a3)
% 0.85/0.92  [90]P4(a3)
% 0.85/0.92  [91]P18(a3)
% 0.85/0.92  [92]P5(a3)
% 0.85/0.92  [93]P19(a3)
% 0.85/0.92  [94]P3(a3)
% 0.85/0.92  [95]P6(a3)
% 0.85/0.92  [96]P6(a2)
% 0.85/0.92  [97]P6(a7)
% 0.85/0.93  [98]P6(a1)
% 0.85/0.93  [99]P6(a8)
% 0.85/0.93  [100]P7(a9)
% 0.85/0.93  [101]P7(a10)
% 0.85/0.93  [144]~E(a10,a9)
% 0.85/0.93  [145]~P3(a7)
% 0.85/0.93  [146]~P8(a3)
% 0.85/0.93  [147]~P9(a8,a3)
% 0.85/0.93  [102]P6(f11(x1021))
% 0.85/0.93  [103]P6(f12(x1031))
% 0.85/0.93  [104]P6(f13(x1041))
% 0.85/0.93  [105]P6(f14(x1051))
% 0.85/0.93  [106]P6(f15(x1061))
% 0.85/0.93  [107]P6(f16(x1071))
% 0.85/0.93  [108]P6(f17(x1081))
% 0.85/0.93  [109]P6(f18(x1091))
% 0.85/0.93  [110]P6(f19(x1101))
% 0.85/0.93  [111]P6(f20(x1111))
% 0.85/0.93  [112]P6(f21(x1121))
% 0.85/0.93  [113]P6(f22(x1131))
% 0.85/0.93  [114]P6(f23(x1141))
% 0.85/0.93  [115]P6(f24(x1151))
% 0.85/0.93  [116]P6(f25(x1161))
% 0.85/0.93  [117]P6(f26(x1171))
% 0.85/0.93  [118]P6(f27(x1181))
% 0.85/0.93  [119]P6(f28(x1191))
% 0.85/0.93  [120]P6(f29(x1201))
% 0.85/0.93  [121]P6(f30(x1211))
% 0.85/0.93  [122]P6(f31(x1221))
% 0.85/0.93  [123]P7(f52(x1231))
% 0.85/0.93  [124]P7(f50(x1241))
% 0.85/0.93  [125]P7(f51(x1251))
% 0.85/0.93  [126]P7(f49(x1261))
% 0.85/0.93  [127]P7(f47(x1271))
% 0.85/0.93  [128]P7(f48(x1281))
% 0.85/0.93  [129]P7(f45(x1291))
% 0.85/0.93  [130]P7(f46(x1301))
% 0.85/0.93  [131]P7(f43(x1311))
% 0.85/0.93  [132]P7(f44(x1321))
% 0.85/0.93  [133]P7(f41(x1331))
% 0.85/0.93  [134]P7(f42(x1341))
% 0.85/0.93  [135]P7(f32(x1351))
% 0.85/0.93  [136]P7(f33(x1361))
% 0.85/0.93  [137]P7(f34(x1371))
% 0.85/0.93  [138]P6(f37(x1381,x1382))
% 0.85/0.93  [139]P6(f38(x1391,x1392))
% 0.85/0.93  [140]P6(f39(x1401,x1402))
% 0.85/0.93  [141]P6(f40(x1411,x1412))
% 0.85/0.93  [142]P6(f35(x1421,x1422))
% 0.85/0.93  [143]P6(f36(x1431,x1432))
% 0.85/0.93  [153]~P6(x1531)+P16(x1531,a3)
% 0.85/0.93  [154]~P6(x1541)+P17(x1541,a3)
% 0.85/0.93  [155]~P6(x1551)+P10(x1551,a3)
% 0.85/0.93  [158]~P7(x1581)+P11(x1581,x1581)
% 0.85/0.93  [159]~P6(x1591)+P16(x1591,x1591)
% 0.85/0.93  [160]~P6(x1601)+P17(x1601,x1601)
% 0.85/0.93  [161]~P6(x1611)+P10(x1611,x1611)
% 0.85/0.93  [162]~P7(x1621)+P12(x1621,x1621)
% 0.85/0.93  [167]~P7(x1671)+~P14(a3,x1671)
% 0.85/0.93  [171]~P15(x1711,x1711)+~P7(x1711)
% 0.85/0.93  [156]~P6(x1561)+E(f5(x1561,a3),x1561)
% 0.85/0.93  [157]~P6(x1571)+E(f5(a3,x1571),x1571)
% 0.85/0.93  [176]~P7(x1761)+P1(f6(x1761,a3))
% 0.85/0.93  [177]~P7(x1771)+P2(f6(x1771,a3))
% 0.85/0.93  [178]~P7(x1781)+P4(f6(x1781,a3))
% 0.85/0.93  [179]~P7(x1791)+P18(f6(x1791,a3))
% 0.85/0.93  [180]~P7(x1801)+P5(f6(x1801,a3))
% 0.85/0.93  [181]~P7(x1811)+P19(f6(x1811,a3))
% 0.85/0.93  [182]~P7(x1821)+P3(f6(x1821,a3))
% 0.85/0.93  [163]~P6(x1631)+~E(a3,x1631)+P16(a3,x1631)
% 0.85/0.93  [164]~P6(x1641)+~E(a3,x1641)+P17(a3,x1641)
% 0.85/0.93  [165]~P6(x1651)+~E(a3,x1651)+P10(a3,x1651)
% 0.85/0.93  [168]~P6(x1681)+~P16(a3,x1681)+E(a3,x1681)
% 0.85/0.93  [169]~P6(x1691)+~P17(a3,x1691)+E(a3,x1691)
% 0.85/0.93  [170]~P6(x1701)+~P10(a3,x1701)+E(a3,x1701)
% 0.85/0.93  [150]~P6(x1501)+E(a3,x1501)+P6(f53(x1501))
% 0.85/0.93  [152]~P6(x1521)+E(a3,x1521)+P7(f4(x1521))
% 0.85/0.93  [166]~P6(x1661)+P1(x1661)+~E(f51(x1661),f50(x1661))
% 0.85/0.93  [187]~P6(x1871)+P3(x1871)+P12(f32(x1871),f33(x1871))
% 0.85/0.93  [188]~P6(x1881)+P3(x1881)+P12(f33(x1881),f32(x1881))
% 0.85/0.93  [208]~P6(x2081)+P4(x2081)+~P15(f48(x2081),f47(x2081))
% 0.85/0.93  [209]~P6(x2091)+P18(x2091)+~P12(f46(x2091),f45(x2091))
% 0.85/0.93  [210]~P6(x2101)+P5(x2101)+~P15(f43(x2101),f44(x2101))
% 0.85/0.93  [211]~P6(x2111)+P5(x2111)+~P15(f44(x2111),f43(x2111))
% 0.85/0.93  [212]~P6(x2121)+P19(x2121)+~P12(f41(x2121),f42(x2121))
% 0.85/0.93  [213]~P6(x2131)+P19(x2131)+~P12(f42(x2131),f41(x2131))
% 0.85/0.93  [175]~P6(x1751)+~P8(x1751)+E(f6(f34(x1751),a3),x1751)
% 0.85/0.93  [183]~P6(x1831)+E(a3,x1831)+E(f6(f52(x1831),f11(x1831)),x1831)
% 0.85/0.93  [184]~P6(x1841)+E(a3,x1841)+E(f6(f4(x1841),f53(x1841)),x1841)
% 0.85/0.93  [267]P2(x2671)+~P6(x2671)+E(f5(f5(f16(x2671),f6(f49(x2671),f15(x2671))),f6(f49(x2671),f14(x2671))),x2671)
% 0.85/0.93  [268]P4(x2681)+~P6(x2681)+E(f5(f5(f19(x2681),f6(f48(x2681),f18(x2681))),f6(f47(x2681),f17(x2681))),x2681)
% 0.85/0.93  [269]P18(x2691)+~P6(x2691)+E(f5(f5(f22(x2691),f6(f46(x2691),f21(x2691))),f6(f45(x2691),f20(x2691))),x2691)
% 0.85/0.93  [270]P5(x2701)+~P6(x2701)+E(f5(f5(f25(x2701),f6(f44(x2701),f24(x2701))),f6(f43(x2701),f23(x2701))),x2701)
% 0.85/0.93  [271]P19(x2711)+~P6(x2711)+E(f5(f5(f28(x2711),f6(f42(x2711),f27(x2711))),f6(f41(x2711),f26(x2711))),x2711)
% 0.85/0.93  [272]P3(x2721)+~P6(x2721)+E(f5(f5(f31(x2721),f6(f33(x2721),f30(x2721))),f6(f32(x2721),f29(x2721))),x2721)
% 0.85/0.93  [265]P1(x2651)+~P6(x2651)+E(f5(f13(x2651),f6(f51(x2651),f6(f50(x2651),f12(x2651)))),x2651)
% 0.85/0.93  [148]~P6(x1481)+P2(x1481)+P7(x1482)
% 0.85/0.93  [185]~P6(x1852)+~P7(x1851)+~E(f6(x1851,x1852),a3)
% 0.85/0.93  [186]~P6(x1862)+~P7(x1861)+~E(f6(x1861,x1862),x1862)
% 0.85/0.93  [195]~P6(x1952)+~P7(x1951)+P6(f6(x1951,x1952))
% 0.85/0.93  [196]~P6(x1961)+~P6(x1962)+P6(f5(x1961,x1962))
% 0.85/0.93  [197]~P6(x1972)+~P7(x1971)+E(f53(f6(x1971,x1972)),x1972)
% 0.85/0.93  [198]~P6(x1982)+~P7(x1981)+E(f4(f6(x1981,x1982)),x1981)
% 0.85/0.93  [225]~P6(x2252)+~P7(x2251)+E(f5(f6(x2251,a3),x2252),f6(x2251,x2252))
% 0.85/0.93  [172]P9(x1722,x1721)+~P6(x1722)+~P6(x1721)+E(x1721,x1722)
% 0.85/0.93  [173]P9(x1732,x1731)+~P7(x1732)+~P7(x1731)+E(x1731,x1732)
% 0.85/0.93  [192]~P6(x1922)+~P6(x1921)+~P9(x1921,x1922)+~E(x1921,x1922)
% 0.85/0.93  [193]~P7(x1932)+~P7(x1931)+~P15(x1931,x1932)+~E(x1931,x1932)
% 0.85/0.93  [194]~P7(x1942)+~P7(x1941)+~P9(x1941,x1942)+~E(x1941,x1942)
% 0.85/0.93  [203]~P7(x2031)+~P7(x2032)+~P12(x2032,x2031)+P11(x2031,x2032)
% 0.85/0.93  [204]~P7(x2041)+~P7(x2042)+~P11(x2042,x2041)+P12(x2041,x2042)
% 0.85/0.93  [205]~P7(x2052)+~P7(x2051)+~P15(x2051,x2052)+P12(x2051,x2052)
% 0.85/0.93  [206]~P7(x2061)+~P7(x2062)+~P13(x2062,x2061)+P15(x2061,x2062)
% 0.85/0.93  [207]~P7(x2071)+~P7(x2072)+~P15(x2072,x2071)+P13(x2071,x2072)
% 0.85/0.93  [216]~P15(x2161,x2162)+~P15(x2162,x2161)+~P7(x2161)+~P7(x2162)
% 0.85/0.93  [217]~P13(x2171,x2172)+~P13(x2172,x2171)+~P7(x2171)+~P7(x2172)
% 0.85/0.93  [189]~P6(x1891)+~P6(x1892)+E(a3,x1891)+~E(f5(x1892,x1891),a3)
% 0.85/0.93  [190]~P6(x1902)+~P6(x1901)+E(a3,x1901)+~E(f5(x1901,x1902),a3)
% 0.85/0.93  [191]~P6(x1911)+~P7(x1912)+P8(x1911)+~E(f6(x1912,a3),x1911)
% 0.85/0.93  [200]~P6(x2002)+~P7(x2001)+~E(a3,x2002)+P4(f6(x2001,x2002))
% 0.85/0.93  [201]~P6(x2012)+~P7(x2011)+~E(a3,x2012)+P18(f6(x2011,x2012))
% 0.85/0.93  [202]~P6(x2021)+~P6(x2022)+E(a3,x2021)+E(f4(f5(x2021,x2022)),f4(x2021))
% 0.85/0.93  [227]~P6(x2271)+~P6(x2272)+E(a3,x2271)+E(f53(f5(x2271,x2272)),f5(f53(x2271),x2272))
% 0.85/0.93  [234]~P6(x2341)+~P6(x2342)+~P10(x2342,x2341)+E(f5(x2341,f40(x2342,x2341)),x2342)
% 0.85/0.93  [235]~P6(x2352)+~P6(x2351)+~P17(x2351,x2352)+E(f5(f39(x2351,x2352),x2352),x2351)
% 0.85/0.93  [264]~P6(x2642)+~P6(x2641)+~P16(x2641,x2642)+E(f5(f5(f38(x2641,x2642),x2642),f37(x2642,x2641)),x2641)
% 0.85/0.93  [263]~P6(x2631)+~P7(x2632)+~P14(x2631,x2632)+E(f5(f36(x2631,x2632),f6(x2632,f35(x2632,x2631))),x2631)
% 0.85/0.93  [253]~P6(x2533)+~P6(x2532)+~P7(x2531)+E(f6(x2531,f5(x2532,x2533)),f5(f6(x2531,x2532),x2533))
% 0.85/0.93  [254]~P6(x2541)+~P6(x2542)+~P6(x2543)+E(f5(f5(x2541,x2542),x2543),f5(x2541,f5(x2542,x2543)))
% 0.85/0.93  [215]P15(x2151,x2152)+~P7(x2152)+~P7(x2151)+~P12(x2151,x2152)+E(x2151,x2152)
% 0.85/0.93  [220]~P6(x2202)+~P6(x2201)+~P16(x2202,x2201)+~P16(x2201,x2202)+E(x2201,x2202)
% 0.85/0.93  [221]~P6(x2212)+~P6(x2211)+~P17(x2212,x2211)+~P17(x2211,x2212)+E(x2211,x2212)
% 0.85/0.93  [222]~P6(x2222)+~P6(x2221)+~P10(x2222,x2221)+~P10(x2221,x2222)+E(x2221,x2222)
% 0.85/0.93  [223]~P7(x2232)+~P7(x2231)+~P11(x2232,x2231)+~P11(x2231,x2232)+E(x2231,x2232)
% 0.85/0.93  [224]~P7(x2242)+~P7(x2241)+~P12(x2242,x2241)+~P12(x2241,x2242)+E(x2241,x2242)
% 0.85/0.93  [174]~P6(x1742)+~P6(x1741)+~E(a3,x1742)+~E(a3,x1741)+E(f5(x1741,x1742),a3)
% 0.85/0.93  [230]P4(x2301)+~P6(x2301)+~P7(x2302)+E(a3,x2301)+~P4(f6(x2302,x2301))
% 0.85/0.93  [231]P18(x2311)+~P6(x2311)+~P7(x2312)+E(a3,x2311)+~P18(f6(x2312,x2311))
% 0.85/0.93  [244]~P6(x2441)+~P7(x2442)+E(a3,x2441)+P12(x2442,f4(x2441))+~P18(f6(x2442,x2441))
% 0.85/0.93  [245]~P6(x2451)+~P7(x2452)+E(a3,x2451)+P15(x2452,f4(x2451))+~P4(f6(x2452,x2451))
% 0.85/0.93  [218]~P6(x2181)+~P6(x2182)+~P6(x2183)+P17(x2181,x2182)+~E(f5(x2183,x2182),x2181)
% 0.85/0.93  [219]~P6(x2191)+~P6(x2193)+~P6(x2192)+P10(x2191,x2192)+~E(f5(x2192,x2193),x2191)
% 0.85/0.93  [226]~E(x2263,x2261)+~P6(x2262)+~P7(x2261)+~P7(x2263)+P14(f6(x2261,x2262),x2263)
% 0.85/0.93  [228]~P6(x2282)+~P6(x2281)+~P6(x2283)+E(x2281,x2282)+~E(f5(x2283,x2281),f5(x2283,x2282))
% 0.85/0.93  [229]~P6(x2292)+~P6(x2293)+~P6(x2291)+E(x2291,x2292)+~E(f5(x2291,x2293),f5(x2292,x2293))
% 0.85/0.93  [246]~P6(x2461)+~P6(x2463)+~P6(x2462)+~P17(x2462,x2463)+P17(f5(x2461,x2462),x2463)
% 0.85/0.93  [247]~P6(x2472)+~P6(x2473)+~P6(x2471)+~P10(x2471,x2473)+P10(f5(x2471,x2472),x2473)
% 0.85/0.93  [248]~P6(x2482)+~P7(x2481)+~P7(x2483)+~P14(x2482,x2483)+P14(f6(x2481,x2482),x2483)
% 0.85/0.93  [249]~P6(x2491)+~P6(x2492)+~P7(x2493)+~P14(x2492,x2493)+P14(f5(x2491,x2492),x2493)
% 0.85/0.93  [250]~P6(x2502)+~P6(x2501)+~P7(x2503)+~P14(x2501,x2503)+P14(f5(x2501,x2502),x2503)
% 0.85/0.93  [251]~P4(x2511)+~P6(x2511)+~P7(x2512)+~P15(x2512,f4(x2511))+E(a3,x2511)+P4(f6(x2512,x2511))
% 0.85/0.93  [252]~P18(x2521)+~P6(x2521)+~P7(x2522)+~P12(x2522,f4(x2521))+E(a3,x2521)+P18(f6(x2522,x2521))
% 0.85/0.93  [236]~P7(x2362)+~P7(x2361)+~P11(x2363,x2362)+~P11(x2361,x2363)+P11(x2361,x2362)+~P7(x2363)
% 0.85/0.93  [237]~P6(x2372)+~P6(x2371)+~P16(x2373,x2372)+~P16(x2371,x2373)+P16(x2371,x2372)+~P6(x2373)
% 0.85/0.93  [238]~P6(x2382)+~P6(x2381)+~P17(x2383,x2382)+~P17(x2381,x2383)+P17(x2381,x2382)+~P6(x2383)
% 0.85/0.93  [239]~P6(x2392)+~P6(x2391)+~P10(x2393,x2392)+~P10(x2391,x2393)+P10(x2391,x2392)+~P6(x2393)
% 0.85/0.93  [240]~P7(x2402)+~P7(x2401)+~P12(x2403,x2402)+~P12(x2401,x2403)+P12(x2401,x2402)+~P7(x2403)
% 0.85/0.93  [241]~P7(x2412)+~P7(x2411)+~P12(x2411,x2413)+~P15(x2413,x2412)+P15(x2411,x2412)+~P7(x2413)
% 0.85/0.93  [242]~P7(x2422)+~P7(x2421)+~P15(x2423,x2422)+~P15(x2421,x2423)+P15(x2421,x2422)+~P7(x2423)
% 0.85/0.93  [243]~P7(x2432)+~P7(x2431)+~P13(x2433,x2432)+~P13(x2431,x2433)+P13(x2431,x2432)+~P7(x2433)
% 0.85/0.93  [255]~P6(x2553)+~P7(x2552)+~P7(x2551)+E(x2551,x2552)+P14(x2553,x2552)+~P14(f6(x2551,x2553),x2552)
% 0.85/0.93  [258]~P6(x2581)+~P6(x2583)+~P7(x2582)+P14(x2581,x2582)+P14(x2583,x2582)+~P14(f5(x2583,x2581),x2582)
% 0.85/0.93  [232]~P6(x2322)+~P6(x2321)+~P7(x2324)+~P7(x2323)+E(x2321,x2322)+~E(f6(x2323,x2321),f6(x2324,x2322))
% 0.85/0.93  [233]~P6(x2334)+~P6(x2333)+~P7(x2332)+~P7(x2331)+E(x2331,x2332)+~E(f6(x2331,x2333),f6(x2332,x2334))
% 0.85/0.93  [260]~P7(x2602)+~P7(x2601)+E(x2601,x2602)+~P6(x2603)+~P6(x2604)+~P10(f6(x2601,x2604),f6(x2602,x2603))
% 0.85/0.93  [262]~P6(x2622)+~P6(x2621)+P10(x2621,x2622)+~P7(x2623)+~P7(x2624)+~P10(f6(x2624,x2621),f6(x2623,x2622))
% 0.85/0.93  [256]~P6(x2561)+~P6(x2564)+~P6(x2563)+~P7(x2562)+P14(x2561,x2562)+~E(f5(x2563,f6(x2562,x2564)),x2561)
% 0.85/0.93  [257]~P6(x2571)+~P6(x2574)+~P6(x2572)+~P6(x2573)+P16(x2571,x2572)+~E(f5(f5(x2573,x2572),x2574),x2571)
% 0.85/0.93  [261]~P6(x2611)+~P6(x2613)+~P6(x2614)+~P6(x2612)+~P16(x2612,x2614)+P16(f5(f5(x2611,x2612),x2613),x2614)
% 0.85/0.93  [199]~P6(x1992)+~P6(x1991)+E(x1991,x1992)+E(a3,x1992)+E(a3,x1991)+~E(f53(x1991),f53(x1992))+~E(f4(x1991),f4(x1992))
% 0.85/0.93  [259]~E(x2591,x2593)+~P6(x2594)+~P6(x2592)+~P7(x2593)+~P7(x2591)+~P10(x2592,x2594)+P10(f6(x2591,x2592),f6(x2593,x2594))
% 0.85/0.93  [273]~P2(x2735)+~P6(x2735)+~P6(x2734)+~P6(x2733)+~P6(x2731)+~P7(x2732)+~E(f5(f5(x2731,f6(x2732,x2733)),f6(x2732,x2734)),x2735)
% 0.85/0.93  [266]~P1(x2665)+~P6(x2665)+~P6(x2664)+~P6(x2663)+~P7(x2662)+~P7(x2661)+E(x2661,x2662)+~E(f5(x2663,f6(x2661,f6(x2662,x2664))),x2665)
% 0.85/0.93  [274]~P18(x2746)+~P6(x2746)+~P6(x2745)+~P6(x2744)+~P6(x2743)+~P7(x2742)+~P7(x2741)+P12(x2741,x2742)+~E(f5(f5(x2743,f6(x2741,x2744)),f6(x2742,x2745)),x2746)
% 0.85/0.93  [275]~P4(x2756)+~P6(x2756)+~P6(x2755)+~P6(x2754)+~P6(x2753)+~P7(x2752)+~P7(x2751)+P15(x2751,x2752)+~E(f5(f5(x2753,f6(x2751,x2754)),f6(x2752,x2755)),x2756)
% 0.85/0.93  [276]P12(x2762,x2761)+~P19(x2766)+~P6(x2766)+~P6(x2765)+~P6(x2764)+~P6(x2763)+~P7(x2761)+~P7(x2762)+P12(x2761,x2762)+~E(f5(f5(x2763,f6(x2762,x2764)),f6(x2761,x2765)),x2766)
% 0.85/0.93  [277]P15(x2772,x2771)+~P5(x2776)+~P6(x2776)+~P6(x2775)+~P6(x2774)+~P6(x2773)+~P7(x2771)+~P7(x2772)+P15(x2771,x2772)+~E(f5(f5(x2773,f6(x2772,x2774)),f6(x2771,x2775)),x2776)
% 0.85/0.93  [278]~P3(x2786)+~P6(x2786)+~P6(x2785)+~P6(x2783)+~P6(x2781)+~P7(x2784)+~P7(x2782)+~P12(x2784,x2782)+~P12(x2782,x2784)+~E(f5(f5(x2781,f6(x2782,x2783)),f6(x2784,x2785)),x2786)
% 0.85/0.93  %EqnAxiom
% 0.85/0.93  [1]E(x11,x11)
% 0.85/0.93  [2]E(x22,x21)+~E(x21,x22)
% 0.85/0.93  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.85/0.93  [4]~E(x41,x42)+E(f11(x41),f11(x42))
% 0.85/0.93  [5]~E(x51,x52)+E(f12(x51),f12(x52))
% 0.85/0.93  [6]~E(x61,x62)+E(f13(x61),f13(x62))
% 0.85/0.93  [7]~E(x71,x72)+E(f14(x71),f14(x72))
% 0.85/0.93  [8]~E(x81,x82)+E(f15(x81),f15(x82))
% 0.85/0.93  [9]~E(x91,x92)+E(f16(x91),f16(x92))
% 0.85/0.93  [10]~E(x101,x102)+E(f17(x101),f17(x102))
% 0.85/0.93  [11]~E(x111,x112)+E(f18(x111),f18(x112))
% 0.85/0.93  [12]~E(x121,x122)+E(f19(x121),f19(x122))
% 0.85/0.93  [13]~E(x131,x132)+E(f20(x131),f20(x132))
% 0.85/0.93  [14]~E(x141,x142)+E(f21(x141),f21(x142))
% 0.85/0.93  [15]~E(x151,x152)+E(f22(x151),f22(x152))
% 0.85/0.93  [16]~E(x161,x162)+E(f23(x161),f23(x162))
% 0.85/0.93  [17]~E(x171,x172)+E(f24(x171),f24(x172))
% 0.85/0.93  [18]~E(x181,x182)+E(f25(x181),f25(x182))
% 0.85/0.93  [19]~E(x191,x192)+E(f26(x191),f26(x192))
% 0.85/0.93  [20]~E(x201,x202)+E(f27(x201),f27(x202))
% 0.85/0.93  [21]~E(x211,x212)+E(f28(x211),f28(x212))
% 0.85/0.93  [22]~E(x221,x222)+E(f29(x221),f29(x222))
% 0.85/0.93  [23]~E(x231,x232)+E(f30(x231),f30(x232))
% 0.85/0.93  [24]~E(x241,x242)+E(f31(x241),f31(x242))
% 0.85/0.93  [25]~E(x251,x252)+E(f52(x251),f52(x252))
% 0.85/0.93  [26]~E(x261,x262)+E(f50(x261),f50(x262))
% 0.85/0.93  [27]~E(x271,x272)+E(f51(x271),f51(x272))
% 0.85/0.93  [28]~E(x281,x282)+E(f49(x281),f49(x282))
% 0.85/0.93  [29]~E(x291,x292)+E(f47(x291),f47(x292))
% 0.85/0.93  [30]~E(x301,x302)+E(f48(x301),f48(x302))
% 0.85/0.93  [31]~E(x311,x312)+E(f45(x311),f45(x312))
% 0.85/0.93  [32]~E(x321,x322)+E(f46(x321),f46(x322))
% 0.85/0.93  [33]~E(x331,x332)+E(f43(x331),f43(x332))
% 0.85/0.93  [34]~E(x341,x342)+E(f44(x341),f44(x342))
% 0.85/0.93  [35]~E(x351,x352)+E(f41(x351),f41(x352))
% 0.85/0.93  [36]~E(x361,x362)+E(f42(x361),f42(x362))
% 0.85/0.93  [37]~E(x371,x372)+E(f32(x371),f32(x372))
% 0.85/0.93  [38]~E(x381,x382)+E(f33(x381),f33(x382))
% 0.85/0.93  [39]~E(x391,x392)+E(f34(x391),f34(x392))
% 0.85/0.93  [40]~E(x401,x402)+E(f37(x401,x403),f37(x402,x403))
% 0.85/0.93  [41]~E(x411,x412)+E(f37(x413,x411),f37(x413,x412))
% 0.85/0.93  [42]~E(x421,x422)+E(f38(x421,x423),f38(x422,x423))
% 0.85/0.93  [43]~E(x431,x432)+E(f38(x433,x431),f38(x433,x432))
% 0.85/0.93  [44]~E(x441,x442)+E(f39(x441,x443),f39(x442,x443))
% 0.85/0.93  [45]~E(x451,x452)+E(f39(x453,x451),f39(x453,x452))
% 0.85/0.93  [46]~E(x461,x462)+E(f40(x461,x463),f40(x462,x463))
% 0.85/0.93  [47]~E(x471,x472)+E(f40(x473,x471),f40(x473,x472))
% 0.85/0.93  [48]~E(x481,x482)+E(f35(x481,x483),f35(x482,x483))
% 0.85/0.93  [49]~E(x491,x492)+E(f35(x493,x491),f35(x493,x492))
% 0.85/0.93  [50]~E(x501,x502)+E(f36(x501,x503),f36(x502,x503))
% 0.85/0.93  [51]~E(x511,x512)+E(f36(x513,x511),f36(x513,x512))
% 0.85/0.93  [52]~E(x521,x522)+E(f53(x521),f53(x522))
% 0.85/0.93  [53]~E(x531,x532)+E(f6(x531,x533),f6(x532,x533))
% 0.85/0.93  [54]~E(x541,x542)+E(f6(x543,x541),f6(x543,x542))
% 0.85/0.93  [55]~E(x551,x552)+E(f4(x551),f4(x552))
% 0.85/0.93  [56]~E(x561,x562)+E(f5(x561,x563),f5(x562,x563))
% 0.85/0.93  [57]~E(x571,x572)+E(f5(x573,x571),f5(x573,x572))
% 0.85/0.93  [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 0.85/0.93  [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 0.85/0.93  [60]~P4(x601)+P4(x602)+~E(x601,x602)
% 0.85/0.93  [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 0.85/0.93  [62]~P5(x621)+P5(x622)+~E(x621,x622)
% 0.85/0.93  [63]~P19(x631)+P19(x632)+~E(x631,x632)
% 0.85/0.93  [64]~P3(x641)+P3(x642)+~E(x641,x642)
% 0.85/0.93  [65]~P6(x651)+P6(x652)+~E(x651,x652)
% 0.85/0.93  [66]~P7(x661)+P7(x662)+~E(x661,x662)
% 0.85/0.93  [67]P12(x672,x673)+~E(x671,x672)+~P12(x671,x673)
% 0.85/0.93  [68]P12(x683,x682)+~E(x681,x682)+~P12(x683,x681)
% 0.85/0.93  [69]P15(x692,x693)+~E(x691,x692)+~P15(x691,x693)
% 0.85/0.93  [70]P15(x703,x702)+~E(x701,x702)+~P15(x703,x701)
% 0.85/0.93  [71]P13(x712,x713)+~E(x711,x712)+~P13(x711,x713)
% 0.85/0.93  [72]P13(x723,x722)+~E(x721,x722)+~P13(x723,x721)
% 0.85/0.94  [73]P10(x732,x733)+~E(x731,x732)+~P10(x731,x733)
% 0.85/0.94  [74]P10(x743,x742)+~E(x741,x742)+~P10(x743,x741)
% 0.85/0.94  [75]P11(x752,x753)+~E(x751,x752)+~P11(x751,x753)
% 0.85/0.94  [76]P11(x763,x762)+~E(x761,x762)+~P11(x763,x761)
% 0.85/0.94  [77]P16(x772,x773)+~E(x771,x772)+~P16(x771,x773)
% 0.85/0.94  [78]P16(x783,x782)+~E(x781,x782)+~P16(x783,x781)
% 0.85/0.94  [79]P14(x792,x793)+~E(x791,x792)+~P14(x791,x793)
% 0.85/0.94  [80]P14(x803,x802)+~E(x801,x802)+~P14(x803,x801)
% 0.85/0.94  [81]P17(x812,x813)+~E(x811,x812)+~P17(x811,x813)
% 0.85/0.94  [82]P17(x823,x822)+~E(x821,x822)+~P17(x823,x821)
% 0.85/0.94  [83]P9(x832,x833)+~E(x831,x832)+~P9(x831,x833)
% 0.85/0.94  [84]P9(x843,x842)+~E(x841,x842)+~P9(x843,x841)
% 0.85/0.94  [85]~P8(x851)+P8(x852)+~E(x851,x852)
% 0.85/0.94  
% 0.85/0.94  %-------------------------------------------
% 0.85/0.94  cnf(280,plain,
% 0.85/0.94     (~P15(a9,a9)),
% 0.85/0.94     inference(scs_inference,[],[86,100,2,171])).
% 0.85/0.94  cnf(318,plain,
% 0.85/0.94     (E(f5(x3181,a1),f5(x3181,a2))),
% 0.85/0.94     inference(scs_inference,[],[86,96,100,2,171,167,162,161,160,159,158,155,154,153,182,181,180,179,178,177,176,157,156,57])).
% 0.85/0.94  cnf(373,plain,
% 0.85/0.94     (~P9(a7,a3)),
% 0.85/0.94     inference(scs_inference,[],[86,87,96,147,100,2,171,167,162,161,160,159,158,155,154,153,182,181,180,179,178,177,176,157,156,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,84,83])).
% 0.85/0.94  cnf(374,plain,
% 0.85/0.94     (~E(a3,a7)),
% 0.85/0.94     inference(scs_inference,[],[86,87,96,145,147,94,100,2,171,167,162,161,160,159,158,155,154,153,182,181,180,179,178,177,176,157,156,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,84,83,64])).
% 0.85/0.94  cnf(397,plain,
% 0.85/0.94     (E(f5(f6(a9,a3),a2),f6(a9,a2))),
% 0.85/0.94     inference(scs_inference,[],[86,87,96,97,145,147,94,100,2,171,167,162,161,160,159,158,155,154,153,182,181,180,179,178,177,176,157,156,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,84,83,64,170,169,168,198,197,196,195,186,185,152,150,225])).
% 0.85/0.94  cnf(399,plain,
% 0.85/0.94     (P12(f33(a7),f32(a7))),
% 0.85/0.94     inference(scs_inference,[],[86,87,96,97,145,147,94,100,2,171,167,162,161,160,159,158,155,154,153,182,181,180,179,178,177,176,157,156,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,84,83,64,170,169,168,198,197,196,195,186,185,152,150,225,188])).
% 0.85/0.94  cnf(401,plain,
% 0.85/0.94     (P12(f32(a7),f33(a7))),
% 0.85/0.94     inference(scs_inference,[],[86,87,96,97,145,147,94,100,2,171,167,162,161,160,159,158,155,154,153,182,181,180,179,178,177,176,157,156,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,84,83,64,170,169,168,198,197,196,195,186,185,152,150,225,188,187])).
% 0.85/0.94  cnf(411,plain,
% 0.85/0.94     (~P15(a10,a10)),
% 0.85/0.94     inference(scs_inference,[],[86,87,96,97,145,147,94,100,101,2,171,167,162,161,160,159,158,155,154,153,182,181,180,179,178,177,176,157,156,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,84,83,64,170,169,168,198,197,196,195,186,185,152,150,225,188,187,184,183,272,217,216])).
% 0.85/0.94  cnf(498,plain,
% 0.85/0.94     ($false),
% 0.85/0.94     inference(scs_inference,[],[90,92,102,123,94,135,136,101,95,97,100,374,397,280,318,399,401,373,411,3,275,278,277,198,195,172]),
% 0.85/0.94     ['proof']).
% 0.85/0.94  % SZS output end Proof
% 0.85/0.94  % Total time :0.220000s
%------------------------------------------------------------------------------