TSTP Solution File: SWC082-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SWC082-1 : 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 : n010.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 20:16:58 EDT 2023

% Result   : Unsatisfiable 0.62s 0.98s
% Output   : CNFRefutation 0.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWC082-1 : 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
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 28 18:26:04 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.59  start to proof:theBenchmark
% 0.62/0.97  %-------------------------------------------
% 0.62/0.97  % File        :CSE---1.6
% 0.62/0.97  % Problem     :theBenchmark
% 0.62/0.97  % Transform   :cnf
% 0.62/0.97  % Format      :tptp:raw
% 0.62/0.97  % Command     :java -jar mcs_scs.jar %d %s
% 0.62/0.97  
% 0.62/0.97  % Result      :Theorem 0.300000s
% 0.62/0.97  % Output      :CNFRefutation 0.300000s
% 0.62/0.97  %-------------------------------------------
% 0.62/0.98  %--------------------------------------------------------------------------
% 0.62/0.98  % File     : SWC082-1 : TPTP v8.1.2. Released v2.4.0.
% 0.62/0.98  % Domain   : Software Creation
% 0.62/0.98  % Problem  : cond_id_segment_x_id_segment_total1
% 0.62/0.98  % Version  : [Wei00] axioms.
% 0.62/0.98  % English  : Find components in a software library that match a given target
% 0.62/0.98  %            specification given in first-order logic. The components are
% 0.62/0.98  %            specified in first-order logic as well. The problem represents
% 0.62/0.98  %            a test of one library module specification against a target
% 0.62/0.98  %            specification.
% 0.62/0.98  
% 0.62/0.98  % Refs     : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.62/0.98  %          : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.62/0.98  % Source   : [TPTP]
% 0.62/0.98  % Names    :
% 0.62/0.98  
% 0.62/0.98  % Status   : Unsatisfiable
% 0.62/0.98  % Rating   : 0.05 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, 0.29 v5.0.0, 0.21 v4.1.0, 0.15 v4.0.1, 0.27 v3.7.0, 0.10 v3.5.0, 0.09 v3.4.0, 0.17 v3.3.0, 0.14 v3.2.0, 0.15 v3.1.0, 0.27 v2.7.0, 0.42 v2.6.0, 0.33 v2.5.0, 0.22 v2.4.0
% 0.62/0.98  % Syntax   : Number of clauses     :  198 (  61 unt;  33 nHn; 155 RR)
% 0.62/0.98  %            Number of literals    :  625 ( 102 equ; 407 neg)
% 0.62/0.98  %            Maximal clause size   :   10 (   3 avg)
% 0.62/0.98  %            Maximal term depth    :    5 (   1 avg)
% 0.62/0.98  %            Number of predicates  :   20 (  19 usr;   0 prp; 1-2 aty)
% 0.62/0.98  %            Number of functors    :   54 (  54 usr;   8 con; 0-2 aty)
% 0.62/0.98  %            Number of variables   :  327 (  49 sgn)
% 0.62/0.98  % SPC      : CNF_UNS_RFO_SEQ_NHN
% 0.62/0.98  
% 0.62/0.98  % Comments : Created by CNF conversion from SWC082+1
% 0.62/0.98  %--------------------------------------------------------------------------
% 0.62/0.98  %----Include list specification axioms
% 0.62/0.98  include('Axioms/SWC001-0.ax').
% 0.62/0.98  %--------------------------------------------------------------------------
% 0.62/0.98  cnf(co1_1,negated_conjecture,
% 0.62/0.98      ssList(sk1) ).
% 0.62/0.98  
% 0.62/0.98  cnf(co1_2,negated_conjecture,
% 0.62/0.98      ssList(sk2) ).
% 0.62/0.98  
% 0.62/0.98  cnf(co1_3,negated_conjecture,
% 0.62/0.98      ssList(sk3) ).
% 0.62/0.98  
% 0.62/0.98  cnf(co1_4,negated_conjecture,
% 0.62/0.98      ssList(sk4) ).
% 0.62/0.98  
% 0.62/0.98  cnf(co1_5,negated_conjecture,
% 0.62/0.98      sk2 = sk4 ).
% 0.62/0.98  
% 0.62/0.98  cnf(co1_6,negated_conjecture,
% 0.62/0.98      sk1 = sk3 ).
% 0.62/0.98  
% 0.62/0.98  cnf(co1_7,negated_conjecture,
% 0.62/0.98      neq(sk2,nil) ).
% 0.62/0.98  
% 0.62/0.98  cnf(co1_8,negated_conjecture,
% 0.62/0.98      ( ~ ssList(A)
% 0.62/0.98      | ~ neq(A,nil)
% 0.62/0.98      | ~ segmentP(sk2,A)
% 0.62/0.98      | ~ segmentP(sk1,A) ) ).
% 0.62/0.98  
% 0.62/0.98  cnf(co1_9,negated_conjecture,
% 0.62/0.98      ( nil = sk3
% 0.62/0.98      | nil != sk4 ) ).
% 0.62/0.98  
% 0.62/0.98  cnf(co1_10,negated_conjecture,
% 0.62/0.98      ( ssList(sk5)
% 0.62/0.98      | ~ neq(sk4,nil) ) ).
% 0.62/0.98  
% 0.62/0.98  cnf(co1_11,negated_conjecture,
% 0.62/0.98      ( neq(sk5,nil)
% 0.62/0.98      | ~ neq(sk4,nil) ) ).
% 0.62/0.98  
% 0.62/0.98  cnf(co1_12,negated_conjecture,
% 0.62/0.98      ( segmentP(sk4,sk5)
% 0.62/0.98      | ~ neq(sk4,nil) ) ).
% 0.62/0.98  
% 0.62/0.98  cnf(co1_13,negated_conjecture,
% 0.62/0.98      ( segmentP(sk3,sk5)
% 0.62/0.98      | ~ neq(sk4,nil) ) ).
% 0.62/0.98  
% 0.62/0.98  %--------------------------------------------------------------------------
% 0.62/0.98  %-------------------------------------------
% 0.62/0.98  % Proof found
% 0.62/0.98  % SZS status Theorem for theBenchmark
% 0.62/0.98  % SZS output start Proof
% 0.62/0.98  %ClaNum:283(EqnAxiom:85)
% 0.62/0.98  %VarNum:895(SingletonVarNum:323)
% 0.62/0.98  %MaxLitNum:10
% 0.62/0.98  %MaxfuncDepth:4
% 0.62/0.98  %SharedTerms:34
% 0.62/0.98  %goalClause: 86 87 96 97 98 99 138 147 158 172 173 174 234
% 0.62/0.98  %singleGoalClaCount:7
% 0.62/0.98  [86]E(a1,a2)
% 0.62/0.98  [87]E(a7,a8)
% 0.62/0.98  [88]P1(a3)
% 0.62/0.98  [89]P2(a3)
% 0.62/0.98  [90]P4(a3)
% 0.62/0.98  [91]P18(a3)
% 0.62/0.98  [92]P5(a3)
% 0.62/0.98  [93]P19(a3)
% 0.62/0.98  [94]P3(a3)
% 0.62/0.98  [95]P6(a3)
% 0.62/0.98  [96]P6(a2)
% 0.62/0.98  [97]P6(a7)
% 0.62/0.98  [98]P6(a1)
% 0.62/0.98  [99]P6(a8)
% 0.62/0.98  [100]P7(a9)
% 0.62/0.98  [101]P7(a10)
% 0.62/0.98  [138]P8(a7,a3)
% 0.62/0.98  [145]~E(a10,a9)
% 0.62/0.98  [146]~P15(a3)
% 0.62/0.99  [102]P6(f12(x1021))
% 0.62/0.99  [103]P6(f13(x1031))
% 0.62/0.99  [104]P6(f14(x1041))
% 0.62/0.99  [105]P6(f15(x1051))
% 0.62/0.99  [106]P6(f16(x1061))
% 0.62/0.99  [107]P6(f17(x1071))
% 0.62/0.99  [108]P6(f18(x1081))
% 0.62/0.99  [109]P6(f19(x1091))
% 0.62/0.99  [110]P6(f20(x1101))
% 0.62/0.99  [111]P6(f21(x1111))
% 0.62/0.99  [112]P6(f22(x1121))
% 0.62/0.99  [113]P6(f23(x1131))
% 0.62/0.99  [114]P6(f24(x1141))
% 0.62/0.99  [115]P6(f25(x1151))
% 0.62/0.99  [116]P6(f26(x1161))
% 0.62/0.99  [117]P6(f27(x1171))
% 0.62/0.99  [118]P6(f28(x1181))
% 0.62/0.99  [119]P6(f29(x1191))
% 0.62/0.99  [120]P6(f30(x1201))
% 0.62/0.99  [121]P6(f31(x1211))
% 0.62/0.99  [122]P6(f32(x1221))
% 0.62/0.99  [123]P7(f53(x1231))
% 0.62/0.99  [124]P7(f51(x1241))
% 0.62/0.99  [125]P7(f52(x1251))
% 0.62/0.99  [126]P7(f50(x1261))
% 0.62/0.99  [127]P7(f48(x1271))
% 0.62/0.99  [128]P7(f49(x1281))
% 0.62/0.99  [129]P7(f46(x1291))
% 0.62/0.99  [130]P7(f47(x1301))
% 0.62/0.99  [131]P7(f44(x1311))
% 0.62/0.99  [132]P7(f45(x1321))
% 0.62/0.99  [133]P7(f42(x1331))
% 0.62/0.99  [134]P7(f43(x1341))
% 0.62/0.99  [135]P7(f33(x1351))
% 0.62/0.99  [136]P7(f34(x1361))
% 0.62/0.99  [137]P7(f35(x1371))
% 0.62/0.99  [139]P6(f38(x1391,x1392))
% 0.62/0.99  [140]P6(f39(x1401,x1402))
% 0.62/0.99  [141]P6(f40(x1411,x1412))
% 0.62/0.99  [142]P6(f41(x1421,x1422))
% 0.62/0.99  [143]P6(f36(x1431,x1432))
% 0.62/0.99  [144]P6(f37(x1441,x1442))
% 0.62/0.99  [147]E(a1,a3)+~E(a3,a8)
% 0.62/0.99  [158]P6(a11)+~P8(a8,a3)
% 0.62/0.99  [172]~P8(a8,a3)+P16(a1,a11)
% 0.62/0.99  [173]~P8(a8,a3)+P16(a8,a11)
% 0.62/0.99  [174]~P8(a8,a3)+P8(a11,a3)
% 0.62/0.99  [153]~P6(x1531)+P16(x1531,a3)
% 0.62/0.99  [154]~P6(x1541)+P17(x1541,a3)
% 0.62/0.99  [155]~P6(x1551)+P9(x1551,a3)
% 0.62/0.99  [159]~P7(x1591)+P10(x1591,x1591)
% 0.62/0.99  [160]~P6(x1601)+P16(x1601,x1601)
% 0.62/0.99  [161]~P6(x1611)+P17(x1611,x1611)
% 0.62/0.99  [162]~P6(x1621)+P9(x1621,x1621)
% 0.62/0.99  [163]~P7(x1631)+P11(x1631,x1631)
% 0.62/0.99  [168]~P7(x1681)+~P13(a3,x1681)
% 0.62/0.99  [175]~P14(x1751,x1751)+~P7(x1751)
% 0.62/0.99  [156]~P6(x1561)+E(f5(x1561,a3),x1561)
% 0.62/0.99  [157]~P6(x1571)+E(f5(a3,x1571),x1571)
% 0.62/0.99  [180]~P7(x1801)+P1(f6(x1801,a3))
% 0.62/0.99  [181]~P7(x1811)+P2(f6(x1811,a3))
% 0.62/0.99  [182]~P7(x1821)+P4(f6(x1821,a3))
% 0.62/0.99  [183]~P7(x1831)+P18(f6(x1831,a3))
% 0.62/0.99  [184]~P7(x1841)+P5(f6(x1841,a3))
% 0.62/0.99  [185]~P7(x1851)+P19(f6(x1851,a3))
% 0.62/0.99  [186]~P7(x1861)+P3(f6(x1861,a3))
% 0.62/0.99  [164]~P6(x1641)+~E(a3,x1641)+P16(a3,x1641)
% 0.62/0.99  [165]~P6(x1651)+~E(a3,x1651)+P17(a3,x1651)
% 0.62/0.99  [166]~P6(x1661)+~E(a3,x1661)+P9(a3,x1661)
% 0.62/0.99  [169]~P6(x1691)+~P16(a3,x1691)+E(a3,x1691)
% 0.62/0.99  [170]~P6(x1701)+~P17(a3,x1701)+E(a3,x1701)
% 0.62/0.99  [171]~P6(x1711)+~P9(a3,x1711)+E(a3,x1711)
% 0.62/0.99  [150]~P6(x1501)+E(a3,x1501)+P6(f54(x1501))
% 0.62/0.99  [152]~P6(x1521)+E(a3,x1521)+P7(f4(x1521))
% 0.62/0.99  [167]~P6(x1671)+P1(x1671)+~E(f52(x1671),f51(x1671))
% 0.62/0.99  [191]~P6(x1911)+P3(x1911)+P11(f33(x1911),f34(x1911))
% 0.62/0.99  [192]~P6(x1921)+P3(x1921)+P11(f34(x1921),f33(x1921))
% 0.62/0.99  [212]~P6(x2121)+P4(x2121)+~P14(f49(x2121),f48(x2121))
% 0.62/0.99  [213]~P6(x2131)+P18(x2131)+~P11(f47(x2131),f46(x2131))
% 0.62/0.99  [214]~P6(x2141)+P5(x2141)+~P14(f44(x2141),f45(x2141))
% 0.62/0.99  [215]~P6(x2151)+P5(x2151)+~P14(f45(x2151),f44(x2151))
% 0.62/0.99  [216]~P6(x2161)+P19(x2161)+~P11(f42(x2161),f43(x2161))
% 0.62/0.99  [217]~P6(x2171)+P19(x2171)+~P11(f43(x2171),f42(x2171))
% 0.62/0.99  [179]~P6(x1791)+~P15(x1791)+E(f6(f35(x1791),a3),x1791)
% 0.62/0.99  [187]~P6(x1871)+E(a3,x1871)+E(f6(f53(x1871),f12(x1871)),x1871)
% 0.62/0.99  [188]~P6(x1881)+E(a3,x1881)+E(f6(f4(x1881),f54(x1881)),x1881)
% 0.62/0.99  [272]P2(x2721)+~P6(x2721)+E(f5(f5(f17(x2721),f6(f50(x2721),f16(x2721))),f6(f50(x2721),f15(x2721))),x2721)
% 0.62/0.99  [273]P4(x2731)+~P6(x2731)+E(f5(f5(f20(x2731),f6(f49(x2731),f19(x2731))),f6(f48(x2731),f18(x2731))),x2731)
% 0.62/0.99  [274]P18(x2741)+~P6(x2741)+E(f5(f5(f23(x2741),f6(f47(x2741),f22(x2741))),f6(f46(x2741),f21(x2741))),x2741)
% 0.62/0.99  [275]P5(x2751)+~P6(x2751)+E(f5(f5(f26(x2751),f6(f45(x2751),f25(x2751))),f6(f44(x2751),f24(x2751))),x2751)
% 0.62/0.99  [276]P19(x2761)+~P6(x2761)+E(f5(f5(f29(x2761),f6(f43(x2761),f28(x2761))),f6(f42(x2761),f27(x2761))),x2761)
% 0.62/0.99  [277]P3(x2771)+~P6(x2771)+E(f5(f5(f32(x2771),f6(f34(x2771),f31(x2771))),f6(f33(x2771),f30(x2771))),x2771)
% 0.62/0.99  [270]P1(x2701)+~P6(x2701)+E(f5(f14(x2701),f6(f52(x2701),f6(f51(x2701),f13(x2701)))),x2701)
% 0.62/0.99  [148]~P6(x1481)+P2(x1481)+P7(x1482)
% 0.62/0.99  [189]~P6(x1892)+~P7(x1891)+~E(f6(x1891,x1892),a3)
% 0.62/0.99  [190]~P6(x1902)+~P7(x1901)+~E(f6(x1901,x1902),x1902)
% 0.62/0.99  [199]~P6(x1992)+~P7(x1991)+P6(f6(x1991,x1992))
% 0.62/0.99  [200]~P6(x2001)+~P6(x2002)+P6(f5(x2001,x2002))
% 0.62/0.99  [201]~P6(x2012)+~P7(x2011)+E(f54(f6(x2011,x2012)),x2012)
% 0.62/0.99  [202]~P6(x2022)+~P7(x2021)+E(f4(f6(x2021,x2022)),x2021)
% 0.62/0.99  [229]~P6(x2292)+~P7(x2291)+E(f5(f6(x2291,a3),x2292),f6(x2291,x2292))
% 0.62/0.99  [234]~P6(x2341)+~P8(x2341,a3)+~P16(a2,x2341)+~P16(a7,x2341)
% 0.62/0.99  [176]P8(x1762,x1761)+~P6(x1762)+~P6(x1761)+E(x1761,x1762)
% 0.62/0.99  [177]P8(x1772,x1771)+~P7(x1772)+~P7(x1771)+E(x1771,x1772)
% 0.62/0.99  [196]~P6(x1962)+~P6(x1961)+~P8(x1961,x1962)+~E(x1961,x1962)
% 0.62/0.99  [197]~P7(x1972)+~P7(x1971)+~P14(x1971,x1972)+~E(x1971,x1972)
% 0.62/0.99  [198]~P7(x1982)+~P7(x1981)+~P8(x1981,x1982)+~E(x1981,x1982)
% 0.62/0.99  [207]~P7(x2071)+~P7(x2072)+~P11(x2072,x2071)+P10(x2071,x2072)
% 0.62/0.99  [208]~P7(x2081)+~P7(x2082)+~P10(x2082,x2081)+P11(x2081,x2082)
% 0.62/0.99  [209]~P7(x2092)+~P7(x2091)+~P14(x2091,x2092)+P11(x2091,x2092)
% 0.62/0.99  [210]~P7(x2101)+~P7(x2102)+~P12(x2102,x2101)+P14(x2101,x2102)
% 0.62/0.99  [211]~P7(x2111)+~P7(x2112)+~P14(x2112,x2111)+P12(x2111,x2112)
% 0.62/0.99  [220]~P14(x2201,x2202)+~P14(x2202,x2201)+~P7(x2201)+~P7(x2202)
% 0.62/0.99  [221]~P12(x2211,x2212)+~P12(x2212,x2211)+~P7(x2211)+~P7(x2212)
% 0.62/0.99  [193]~P6(x1931)+~P6(x1932)+E(a3,x1931)+~E(f5(x1932,x1931),a3)
% 0.62/0.99  [194]~P6(x1942)+~P6(x1941)+E(a3,x1941)+~E(f5(x1941,x1942),a3)
% 0.62/0.99  [195]~P6(x1951)+~P7(x1952)+P15(x1951)+~E(f6(x1952,a3),x1951)
% 0.62/0.99  [204]~P6(x2042)+~P7(x2041)+~E(a3,x2042)+P4(f6(x2041,x2042))
% 0.62/0.99  [205]~P6(x2052)+~P7(x2051)+~E(a3,x2052)+P18(f6(x2051,x2052))
% 0.62/0.99  [206]~P6(x2061)+~P6(x2062)+E(a3,x2061)+E(f4(f5(x2061,x2062)),f4(x2061))
% 0.62/0.99  [231]~P6(x2311)+~P6(x2312)+E(a3,x2311)+E(f54(f5(x2311,x2312)),f5(f54(x2311),x2312))
% 0.62/0.99  [239]~P6(x2391)+~P6(x2392)+~P9(x2392,x2391)+E(f5(x2391,f41(x2392,x2391)),x2392)
% 0.62/0.99  [240]~P6(x2402)+~P6(x2401)+~P17(x2401,x2402)+E(f5(f40(x2401,x2402),x2402),x2401)
% 0.62/0.99  [269]~P6(x2692)+~P6(x2691)+~P16(x2691,x2692)+E(f5(f5(f39(x2691,x2692),x2692),f38(x2692,x2691)),x2691)
% 0.62/0.99  [268]~P6(x2681)+~P7(x2682)+~P13(x2681,x2682)+E(f5(f37(x2681,x2682),f6(x2682,f36(x2682,x2681))),x2681)
% 0.62/0.99  [258]~P6(x2583)+~P6(x2582)+~P7(x2581)+E(f6(x2581,f5(x2582,x2583)),f5(f6(x2581,x2582),x2583))
% 0.62/0.99  [259]~P6(x2591)+~P6(x2592)+~P6(x2593)+E(f5(f5(x2591,x2592),x2593),f5(x2591,f5(x2592,x2593)))
% 0.62/0.99  [219]P14(x2191,x2192)+~P7(x2192)+~P7(x2191)+~P11(x2191,x2192)+E(x2191,x2192)
% 0.62/0.99  [224]~P6(x2242)+~P6(x2241)+~P16(x2242,x2241)+~P16(x2241,x2242)+E(x2241,x2242)
% 0.62/0.99  [225]~P6(x2252)+~P6(x2251)+~P17(x2252,x2251)+~P17(x2251,x2252)+E(x2251,x2252)
% 0.62/0.99  [226]~P6(x2262)+~P6(x2261)+~P9(x2262,x2261)+~P9(x2261,x2262)+E(x2261,x2262)
% 0.62/0.99  [227]~P7(x2272)+~P7(x2271)+~P10(x2272,x2271)+~P10(x2271,x2272)+E(x2271,x2272)
% 0.62/0.99  [228]~P7(x2282)+~P7(x2281)+~P11(x2282,x2281)+~P11(x2281,x2282)+E(x2281,x2282)
% 0.62/0.99  [178]~P6(x1782)+~P6(x1781)+~E(a3,x1782)+~E(a3,x1781)+E(f5(x1781,x1782),a3)
% 0.62/0.99  [235]P4(x2351)+~P6(x2351)+~P7(x2352)+E(a3,x2351)+~P4(f6(x2352,x2351))
% 0.62/0.99  [236]P18(x2361)+~P6(x2361)+~P7(x2362)+E(a3,x2361)+~P18(f6(x2362,x2361))
% 0.62/0.99  [249]~P6(x2491)+~P7(x2492)+E(a3,x2491)+P11(x2492,f4(x2491))+~P18(f6(x2492,x2491))
% 0.62/0.99  [250]~P6(x2501)+~P7(x2502)+E(a3,x2501)+P14(x2502,f4(x2501))+~P4(f6(x2502,x2501))
% 0.62/0.99  [222]~P6(x2221)+~P6(x2222)+~P6(x2223)+P17(x2221,x2222)+~E(f5(x2223,x2222),x2221)
% 0.62/0.99  [223]~P6(x2231)+~P6(x2233)+~P6(x2232)+P9(x2231,x2232)+~E(f5(x2232,x2233),x2231)
% 0.62/0.99  [230]~E(x2303,x2301)+~P6(x2302)+~P7(x2301)+~P7(x2303)+P13(f6(x2301,x2302),x2303)
% 0.62/0.99  [232]~P6(x2322)+~P6(x2321)+~P6(x2323)+E(x2321,x2322)+~E(f5(x2323,x2321),f5(x2323,x2322))
% 0.62/0.99  [233]~P6(x2332)+~P6(x2333)+~P6(x2331)+E(x2331,x2332)+~E(f5(x2331,x2333),f5(x2332,x2333))
% 0.62/0.99  [251]~P6(x2511)+~P6(x2513)+~P6(x2512)+~P17(x2512,x2513)+P17(f5(x2511,x2512),x2513)
% 0.62/0.99  [252]~P6(x2522)+~P6(x2523)+~P6(x2521)+~P9(x2521,x2523)+P9(f5(x2521,x2522),x2523)
% 0.62/0.99  [253]~P6(x2532)+~P7(x2531)+~P7(x2533)+~P13(x2532,x2533)+P13(f6(x2531,x2532),x2533)
% 0.62/0.99  [254]~P6(x2541)+~P6(x2542)+~P7(x2543)+~P13(x2542,x2543)+P13(f5(x2541,x2542),x2543)
% 0.62/0.99  [255]~P6(x2552)+~P6(x2551)+~P7(x2553)+~P13(x2551,x2553)+P13(f5(x2551,x2552),x2553)
% 0.62/0.99  [256]~P4(x2561)+~P6(x2561)+~P7(x2562)+~P14(x2562,f4(x2561))+E(a3,x2561)+P4(f6(x2562,x2561))
% 0.62/0.99  [257]~P18(x2571)+~P6(x2571)+~P7(x2572)+~P11(x2572,f4(x2571))+E(a3,x2571)+P18(f6(x2572,x2571))
% 0.62/0.99  [241]~P7(x2412)+~P7(x2411)+~P10(x2413,x2412)+~P10(x2411,x2413)+P10(x2411,x2412)+~P7(x2413)
% 0.62/0.99  [242]~P6(x2422)+~P6(x2421)+~P16(x2423,x2422)+~P16(x2421,x2423)+P16(x2421,x2422)+~P6(x2423)
% 0.62/0.99  [243]~P6(x2432)+~P6(x2431)+~P17(x2433,x2432)+~P17(x2431,x2433)+P17(x2431,x2432)+~P6(x2433)
% 0.62/0.99  [244]~P6(x2442)+~P6(x2441)+~P9(x2443,x2442)+~P9(x2441,x2443)+P9(x2441,x2442)+~P6(x2443)
% 0.62/0.99  [245]~P7(x2452)+~P7(x2451)+~P11(x2453,x2452)+~P11(x2451,x2453)+P11(x2451,x2452)+~P7(x2453)
% 0.62/0.99  [246]~P7(x2462)+~P7(x2461)+~P11(x2461,x2463)+~P14(x2463,x2462)+P14(x2461,x2462)+~P7(x2463)
% 0.62/0.99  [247]~P7(x2472)+~P7(x2471)+~P14(x2473,x2472)+~P14(x2471,x2473)+P14(x2471,x2472)+~P7(x2473)
% 0.62/0.99  [248]~P7(x2482)+~P7(x2481)+~P12(x2483,x2482)+~P12(x2481,x2483)+P12(x2481,x2482)+~P7(x2483)
% 0.62/0.99  [260]~P6(x2603)+~P7(x2602)+~P7(x2601)+E(x2601,x2602)+P13(x2603,x2602)+~P13(f6(x2601,x2603),x2602)
% 0.62/0.99  [263]~P6(x2631)+~P6(x2633)+~P7(x2632)+P13(x2631,x2632)+P13(x2633,x2632)+~P13(f5(x2633,x2631),x2632)
% 0.62/0.99  [237]~P6(x2372)+~P6(x2371)+~P7(x2374)+~P7(x2373)+E(x2371,x2372)+~E(f6(x2373,x2371),f6(x2374,x2372))
% 0.62/0.99  [238]~P6(x2384)+~P6(x2383)+~P7(x2382)+~P7(x2381)+E(x2381,x2382)+~E(f6(x2381,x2383),f6(x2382,x2384))
% 0.62/0.99  [265]~P7(x2652)+~P7(x2651)+E(x2651,x2652)+~P6(x2653)+~P6(x2654)+~P9(f6(x2651,x2654),f6(x2652,x2653))
% 0.62/0.99  [267]~P6(x2672)+~P6(x2671)+P9(x2671,x2672)+~P7(x2673)+~P7(x2674)+~P9(f6(x2674,x2671),f6(x2673,x2672))
% 0.62/0.99  [261]~P6(x2611)+~P6(x2614)+~P6(x2613)+~P7(x2612)+P13(x2611,x2612)+~E(f5(x2613,f6(x2612,x2614)),x2611)
% 0.62/0.99  [262]~P6(x2621)+~P6(x2624)+~P6(x2622)+~P6(x2623)+P16(x2621,x2622)+~E(f5(f5(x2623,x2622),x2624),x2621)
% 0.62/0.99  [266]~P6(x2661)+~P6(x2663)+~P6(x2664)+~P6(x2662)+~P16(x2662,x2664)+P16(f5(f5(x2661,x2662),x2663),x2664)
% 0.62/0.99  [203]~P6(x2032)+~P6(x2031)+E(x2031,x2032)+E(a3,x2032)+E(a3,x2031)+~E(f54(x2031),f54(x2032))+~E(f4(x2031),f4(x2032))
% 0.62/0.99  [264]~E(x2641,x2643)+~P6(x2644)+~P6(x2642)+~P7(x2643)+~P7(x2641)+~P9(x2642,x2644)+P9(f6(x2641,x2642),f6(x2643,x2644))
% 0.62/0.99  [278]~P2(x2785)+~P6(x2785)+~P6(x2784)+~P6(x2783)+~P6(x2781)+~P7(x2782)+~E(f5(f5(x2781,f6(x2782,x2783)),f6(x2782,x2784)),x2785)
% 0.62/0.99  [271]~P1(x2715)+~P6(x2715)+~P6(x2714)+~P6(x2713)+~P7(x2712)+~P7(x2711)+E(x2711,x2712)+~E(f5(x2713,f6(x2711,f6(x2712,x2714))),x2715)
% 0.62/0.99  [279]~P18(x2796)+~P6(x2796)+~P6(x2795)+~P6(x2794)+~P6(x2793)+~P7(x2792)+~P7(x2791)+P11(x2791,x2792)+~E(f5(f5(x2793,f6(x2791,x2794)),f6(x2792,x2795)),x2796)
% 0.62/0.99  [280]~P4(x2806)+~P6(x2806)+~P6(x2805)+~P6(x2804)+~P6(x2803)+~P7(x2802)+~P7(x2801)+P14(x2801,x2802)+~E(f5(f5(x2803,f6(x2801,x2804)),f6(x2802,x2805)),x2806)
% 0.62/0.99  [281]P11(x2812,x2811)+~P19(x2816)+~P6(x2816)+~P6(x2815)+~P6(x2814)+~P6(x2813)+~P7(x2811)+~P7(x2812)+P11(x2811,x2812)+~E(f5(f5(x2813,f6(x2812,x2814)),f6(x2811,x2815)),x2816)
% 0.62/0.99  [282]P14(x2822,x2821)+~P5(x2826)+~P6(x2826)+~P6(x2825)+~P6(x2824)+~P6(x2823)+~P7(x2821)+~P7(x2822)+P14(x2821,x2822)+~E(f5(f5(x2823,f6(x2822,x2824)),f6(x2821,x2825)),x2826)
% 0.62/0.99  [283]~P3(x2836)+~P6(x2836)+~P6(x2835)+~P6(x2833)+~P6(x2831)+~P7(x2834)+~P7(x2832)+~P11(x2834,x2832)+~P11(x2832,x2834)+~E(f5(f5(x2831,f6(x2832,x2833)),f6(x2834,x2835)),x2836)
% 0.62/0.99  %EqnAxiom
% 0.62/0.99  [1]E(x11,x11)
% 0.62/0.99  [2]E(x22,x21)+~E(x21,x22)
% 0.62/0.99  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.62/0.99  [4]~E(x41,x42)+E(f12(x41),f12(x42))
% 0.62/0.99  [5]~E(x51,x52)+E(f13(x51),f13(x52))
% 0.62/0.99  [6]~E(x61,x62)+E(f14(x61),f14(x62))
% 0.62/0.99  [7]~E(x71,x72)+E(f15(x71),f15(x72))
% 0.62/0.99  [8]~E(x81,x82)+E(f16(x81),f16(x82))
% 0.62/0.99  [9]~E(x91,x92)+E(f17(x91),f17(x92))
% 0.62/0.99  [10]~E(x101,x102)+E(f18(x101),f18(x102))
% 0.62/0.99  [11]~E(x111,x112)+E(f19(x111),f19(x112))
% 0.62/0.99  [12]~E(x121,x122)+E(f20(x121),f20(x122))
% 0.62/0.99  [13]~E(x131,x132)+E(f21(x131),f21(x132))
% 0.62/0.99  [14]~E(x141,x142)+E(f22(x141),f22(x142))
% 0.62/0.99  [15]~E(x151,x152)+E(f23(x151),f23(x152))
% 0.62/0.99  [16]~E(x161,x162)+E(f24(x161),f24(x162))
% 0.62/0.99  [17]~E(x171,x172)+E(f25(x171),f25(x172))
% 0.62/0.99  [18]~E(x181,x182)+E(f26(x181),f26(x182))
% 0.62/0.99  [19]~E(x191,x192)+E(f27(x191),f27(x192))
% 0.62/0.99  [20]~E(x201,x202)+E(f28(x201),f28(x202))
% 0.62/0.99  [21]~E(x211,x212)+E(f29(x211),f29(x212))
% 0.62/0.99  [22]~E(x221,x222)+E(f30(x221),f30(x222))
% 0.62/0.99  [23]~E(x231,x232)+E(f31(x231),f31(x232))
% 0.62/0.99  [24]~E(x241,x242)+E(f32(x241),f32(x242))
% 0.62/0.99  [25]~E(x251,x252)+E(f53(x251),f53(x252))
% 0.62/0.99  [26]~E(x261,x262)+E(f51(x261),f51(x262))
% 0.62/0.99  [27]~E(x271,x272)+E(f52(x271),f52(x272))
% 0.62/0.99  [28]~E(x281,x282)+E(f50(x281),f50(x282))
% 0.62/0.99  [29]~E(x291,x292)+E(f48(x291),f48(x292))
% 0.62/0.99  [30]~E(x301,x302)+E(f49(x301),f49(x302))
% 0.62/0.99  [31]~E(x311,x312)+E(f46(x311),f46(x312))
% 0.62/0.99  [32]~E(x321,x322)+E(f47(x321),f47(x322))
% 0.62/0.99  [33]~E(x331,x332)+E(f44(x331),f44(x332))
% 0.62/0.99  [34]~E(x341,x342)+E(f45(x341),f45(x342))
% 0.62/0.99  [35]~E(x351,x352)+E(f42(x351),f42(x352))
% 0.62/0.99  [36]~E(x361,x362)+E(f43(x361),f43(x362))
% 0.62/0.99  [37]~E(x371,x372)+E(f33(x371),f33(x372))
% 0.62/0.99  [38]~E(x381,x382)+E(f34(x381),f34(x382))
% 0.62/0.99  [39]~E(x391,x392)+E(f35(x391),f35(x392))
% 0.62/0.99  [40]~E(x401,x402)+E(f38(x401,x403),f38(x402,x403))
% 0.62/0.99  [41]~E(x411,x412)+E(f38(x413,x411),f38(x413,x412))
% 0.62/0.99  [42]~E(x421,x422)+E(f39(x421,x423),f39(x422,x423))
% 0.62/0.99  [43]~E(x431,x432)+E(f39(x433,x431),f39(x433,x432))
% 0.62/0.99  [44]~E(x441,x442)+E(f40(x441,x443),f40(x442,x443))
% 0.62/0.99  [45]~E(x451,x452)+E(f40(x453,x451),f40(x453,x452))
% 0.62/0.99  [46]~E(x461,x462)+E(f41(x461,x463),f41(x462,x463))
% 0.62/0.99  [47]~E(x471,x472)+E(f41(x473,x471),f41(x473,x472))
% 0.62/0.99  [48]~E(x481,x482)+E(f36(x481,x483),f36(x482,x483))
% 0.62/0.99  [49]~E(x491,x492)+E(f36(x493,x491),f36(x493,x492))
% 0.62/0.99  [50]~E(x501,x502)+E(f37(x501,x503),f37(x502,x503))
% 0.62/0.99  [51]~E(x511,x512)+E(f37(x513,x511),f37(x513,x512))
% 0.62/0.99  [52]~E(x521,x522)+E(f54(x521),f54(x522))
% 0.62/0.99  [53]~E(x531,x532)+E(f6(x531,x533),f6(x532,x533))
% 0.62/0.99  [54]~E(x541,x542)+E(f6(x543,x541),f6(x543,x542))
% 0.62/0.99  [55]~E(x551,x552)+E(f4(x551),f4(x552))
% 0.62/0.99  [56]~E(x561,x562)+E(f5(x561,x563),f5(x562,x563))
% 0.62/0.99  [57]~E(x571,x572)+E(f5(x573,x571),f5(x573,x572))
% 0.62/0.99  [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 0.62/0.99  [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 0.62/0.99  [60]~P4(x601)+P4(x602)+~E(x601,x602)
% 0.62/0.99  [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 0.62/0.99  [62]~P5(x621)+P5(x622)+~E(x621,x622)
% 0.62/0.99  [63]~P19(x631)+P19(x632)+~E(x631,x632)
% 0.62/0.99  [64]~P3(x641)+P3(x642)+~E(x641,x642)
% 0.62/0.99  [65]~P6(x651)+P6(x652)+~E(x651,x652)
% 0.62/0.99  [66]~P7(x661)+P7(x662)+~E(x661,x662)
% 0.62/0.99  [67]P11(x672,x673)+~E(x671,x672)+~P11(x671,x673)
% 0.62/0.99  [68]P11(x683,x682)+~E(x681,x682)+~P11(x683,x681)
% 0.62/0.99  [69]P14(x692,x693)+~E(x691,x692)+~P14(x691,x693)
% 0.62/0.99  [70]P14(x703,x702)+~E(x701,x702)+~P14(x703,x701)
% 0.62/1.00  [71]P17(x712,x713)+~E(x711,x712)+~P17(x711,x713)
% 0.62/1.00  [72]P17(x723,x722)+~E(x721,x722)+~P17(x723,x721)
% 0.62/1.00  [73]P13(x732,x733)+~E(x731,x732)+~P13(x731,x733)
% 0.62/1.00  [74]P13(x743,x742)+~E(x741,x742)+~P13(x743,x741)
% 0.62/1.00  [75]~P15(x751)+P15(x752)+~E(x751,x752)
% 0.62/1.00  [76]P12(x762,x763)+~E(x761,x762)+~P12(x761,x763)
% 0.62/1.00  [77]P12(x773,x772)+~E(x771,x772)+~P12(x773,x771)
% 0.62/1.00  [78]P10(x782,x783)+~E(x781,x782)+~P10(x781,x783)
% 0.62/1.00  [79]P10(x793,x792)+~E(x791,x792)+~P10(x793,x791)
% 0.62/1.00  [80]P8(x802,x803)+~E(x801,x802)+~P8(x801,x803)
% 0.62/1.00  [81]P8(x813,x812)+~E(x811,x812)+~P8(x813,x811)
% 0.62/1.00  [82]P9(x822,x823)+~E(x821,x822)+~P9(x821,x823)
% 0.62/1.00  [83]P9(x833,x832)+~E(x831,x832)+~P9(x833,x831)
% 0.62/1.00  [84]P16(x842,x843)+~E(x841,x842)+~P16(x841,x843)
% 0.62/1.00  [85]P16(x853,x852)+~E(x851,x852)+~P16(x853,x851)
% 0.62/1.00  
% 0.62/1.00  %-------------------------------------------
% 0.62/1.00  cnf(284,plain,
% 0.62/1.00     (E(a2,a1)),
% 0.62/1.00     inference(scs_inference,[],[86,2])).
% 0.62/1.00  cnf(285,plain,
% 0.62/1.00     (~P14(a9,a9)),
% 0.62/1.00     inference(scs_inference,[],[86,100,2,175])).
% 0.62/1.00  cnf(288,plain,
% 0.62/1.00     (~E(a7,a3)),
% 0.62/1.00     inference(scs_inference,[],[86,87,97,138,95,100,2,175,80,196])).
% 0.62/1.00  cnf(290,plain,
% 0.62/1.00     (P8(a11,a3)),
% 0.62/1.00     inference(scs_inference,[],[86,87,97,138,95,100,2,175,80,196,174])).
% 0.62/1.00  cnf(291,plain,
% 0.62/1.00     (P16(a8,a11)),
% 0.62/1.00     inference(scs_inference,[],[86,87,97,138,95,100,2,175,80,196,174,173])).
% 0.62/1.00  cnf(292,plain,
% 0.62/1.00     (P16(a1,a11)),
% 0.62/1.00     inference(scs_inference,[],[86,87,97,138,95,100,2,175,80,196,174,173,172])).
% 0.62/1.00  cnf(295,plain,
% 0.62/1.00     (P11(a9,a9)),
% 0.62/1.00     inference(scs_inference,[],[86,87,97,138,95,100,2,175,80,196,174,173,172,168,163])).
% 0.62/1.00  cnf(297,plain,
% 0.62/1.00     (P9(a2,a2)),
% 0.62/1.00     inference(scs_inference,[],[86,87,96,97,138,95,100,2,175,80,196,174,173,172,168,163,162])).
% 0.62/1.00  cnf(299,plain,
% 0.62/1.00     (P17(a2,a2)),
% 0.62/1.00     inference(scs_inference,[],[86,87,96,97,138,95,100,2,175,80,196,174,173,172,168,163,162,161])).
% 0.62/1.00  cnf(301,plain,
% 0.62/1.00     (P16(a2,a2)),
% 0.62/1.00     inference(scs_inference,[],[86,87,96,97,138,95,100,2,175,80,196,174,173,172,168,163,162,161,160])).
% 0.62/1.00  cnf(305,plain,
% 0.62/1.00     (P6(a11)),
% 0.62/1.00     inference(scs_inference,[],[86,87,96,97,138,95,100,2,175,80,196,174,173,172,168,163,162,161,160,159,158])).
% 0.62/1.00  cnf(330,plain,
% 0.62/1.00     (E(f5(x3301,a1),f5(x3301,a2))),
% 0.62/1.00     inference(scs_inference,[],[86,87,96,97,138,95,100,2,175,80,196,174,173,172,168,163,162,161,160,159,158,155,154,153,186,185,184,183,182,181,180,157,156,57])).
% 0.62/1.00  cnf(331,plain,
% 0.62/1.00     (E(f5(a1,x3311),f5(a2,x3311))),
% 0.62/1.00     inference(scs_inference,[],[86,87,96,97,138,95,100,2,175,80,196,174,173,172,168,163,162,161,160,159,158,155,154,153,186,185,184,183,182,181,180,157,156,57,56])).
% 0.62/1.00  cnf(333,plain,
% 0.62/1.00     (E(f6(x3331,a1),f6(x3331,a2))),
% 0.62/1.00     inference(scs_inference,[],[86,87,96,97,138,95,100,2,175,80,196,174,173,172,168,163,162,161,160,159,158,155,154,153,186,185,184,183,182,181,180,157,156,57,56,55,54])).
% 0.62/1.00  cnf(471,plain,
% 0.62/1.00     (P6(f6(f53(x4711),a1))),
% 0.62/1.00     inference(scs_inference,[],[90,98,123,95,100,285,280,202,201,200,199])).
% 0.62/1.00  cnf(481,plain,
% 0.62/1.00     (P17(a1,a2)),
% 0.62/1.00     inference(scs_inference,[],[90,98,123,145,101,95,100,96,285,297,299,284,280,202,201,200,199,210,177,259,252,71])).
% 0.62/1.00  cnf(482,plain,
% 0.62/1.00     (~E(f6(f53(x4821),a1),a1)),
% 0.62/1.00     inference(scs_inference,[],[90,98,123,145,101,95,100,96,285,297,299,284,280,202,201,200,199,210,177,259,252,71,190])).
% 0.62/1.00  cnf(490,plain,
% 0.62/1.00     (P8(a3,a7)),
% 0.62/1.00     inference(scs_inference,[],[86,90,98,123,145,97,101,95,100,96,285,297,299,284,288,280,202,201,200,199,210,177,259,252,71,190,189,229,196,176])).
% 0.62/1.00  cnf(496,plain,
% 0.62/1.00     (E(f5(f40(a2,a2),a2),a2)),
% 0.62/1.00     inference(scs_inference,[],[86,90,98,123,146,145,97,101,95,100,96,285,297,299,284,288,280,202,201,200,199,210,177,259,252,71,190,189,229,196,176,195,258,240])).
% 0.62/1.00  cnf(498,plain,
% 0.62/1.00     (E(f5(a2,f41(a2,a2)),a2)),
% 0.62/1.00     inference(scs_inference,[],[86,90,98,123,146,145,97,101,95,100,96,285,297,299,284,288,280,202,201,200,199,210,177,259,252,71,190,189,229,196,176,195,258,240,239])).
% 0.62/1.00  cnf(514,plain,
% 0.62/1.00     (P9(a1,a2)),
% 0.62/1.00     inference(scs_inference,[],[86,90,98,123,88,89,146,145,97,101,95,100,96,285,297,299,284,288,292,301,280,202,201,200,199,210,177,259,252,71,190,189,229,196,176,195,258,240,239,269,251,266,278,271,2,85,84,83,82])).
% 0.62/1.00  cnf(517,plain,
% 0.62/1.00     (E(f5(x5171,a1),f5(x5171,a2))),
% 0.62/1.00     inference(rename_variables,[],[330])).
% 0.62/1.00  cnf(520,plain,
% 0.62/1.00     (~P16(a7,a11)),
% 0.62/1.00     inference(scs_inference,[],[86,90,98,123,88,89,146,145,97,101,95,100,96,285,330,331,297,299,284,288,290,292,295,301,305,280,202,201,200,199,210,177,259,252,71,190,189,229,196,176,195,258,240,239,269,251,266,278,271,2,85,84,83,82,72,3,68,234])).
% 0.62/1.00  cnf(522,plain,
% 0.62/1.00     (P9(a1,a1)),
% 0.62/1.00     inference(scs_inference,[],[86,90,98,123,88,89,146,145,97,101,95,100,96,285,330,331,297,299,284,288,290,292,295,301,305,280,202,201,200,199,210,177,259,252,71,190,189,229,196,176,195,258,240,239,269,251,266,278,271,2,85,84,83,82,72,3,68,234,244])).
% 0.62/1.00  cnf(524,plain,
% 0.62/1.00     (P17(a1,a1)),
% 0.62/1.00     inference(scs_inference,[],[86,90,98,123,88,89,146,145,97,101,95,100,96,285,330,331,297,299,284,288,290,292,295,301,305,280,202,201,200,199,210,177,259,252,71,190,189,229,196,176,195,258,240,239,269,251,266,278,271,2,85,84,83,82,72,3,68,234,244,243])).
% 0.62/1.00  cnf(530,plain,
% 0.62/1.00     (~P8(a1,a1)),
% 0.62/1.00     inference(scs_inference,[],[86,90,98,123,88,89,146,145,97,101,95,100,96,285,330,517,331,297,299,284,288,290,292,295,301,305,280,202,201,200,199,210,177,259,252,71,190,189,229,196,176,195,258,240,239,269,251,266,278,271,2,85,84,83,82,72,3,68,234,244,243,262,65,81])).
% 0.62/1.00  cnf(583,plain,
% 0.62/1.00     ($false),
% 0.62/1.00     inference(scs_inference,[],[87,102,141,142,124,92,99,89,146,284,95,98,100,96,333,471,496,498,490,482,291,481,514,520,522,524,530,305,285,223,222,282,252,259,258,239,278,65,81,195,240,269,251,80,2,3,84]),
% 0.62/1.00     ['proof']).
% 0.62/1.00  % SZS output end Proof
% 0.62/1.00  % Total time :0.300000s
%------------------------------------------------------------------------------