TSTP Solution File: SWC359+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SWC359+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 : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 20:18:35 EDT 2023

% Result   : Theorem 0.84s 0.91s
% Output   : CNFRefutation 0.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC359+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n014.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 18:33:45 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.56  start to proof:theBenchmark
% 0.84/0.91  %-------------------------------------------
% 0.84/0.91  % File        :CSE---1.6
% 0.84/0.91  % Problem     :theBenchmark
% 0.84/0.91  % Transform   :cnf
% 0.84/0.91  % Format      :tptp:raw
% 0.84/0.91  % Command     :java -jar mcs_scs.jar %d %s
% 0.84/0.91  
% 0.84/0.91  % Result      :Theorem 0.240000s
% 0.84/0.91  % Output      :CNFRefutation 0.240000s
% 0.84/0.91  %-------------------------------------------
% 0.84/0.91  %--------------------------------------------------------------------------
% 0.84/0.91  % File     : SWC359+1 : TPTP v8.1.2. Released v2.4.0.
% 0.84/0.91  % Domain   : Software Creation
% 0.84/0.91  % Problem  : cond_segment_ne_x_run_eq_max1
% 0.84/0.91  % Version  : [Wei00] axioms.
% 0.84/0.91  % English  : Find components in a software library that match a given target
% 0.84/0.91  %            specification given in first-order logic. The components are
% 0.84/0.91  %            specified in first-order logic as well. The problem represents
% 0.84/0.91  %            a test of one library module specification against a target
% 0.84/0.91  %            specification.
% 0.84/0.91  
% 0.84/0.91  % Refs     : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.84/0.91  %          : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.84/0.91  % Source   : [Wei00]
% 0.84/0.91  % Names    : cond_segment_ne_x_run_eq_max1 [Wei00]
% 0.84/0.91  
% 0.84/0.91  % Status   : Theorem
% 0.84/0.91  % Rating   : 0.08 v8.1.0, 0.06 v7.4.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.08 v6.3.0, 0.04 v6.2.0, 0.12 v6.1.0, 0.10 v6.0.0, 0.09 v5.5.0, 0.04 v5.3.0, 0.11 v5.2.0, 0.05 v5.0.0, 0.00 v4.0.1, 0.04 v4.0.0, 0.08 v3.7.0, 0.00 v3.4.0, 0.11 v3.3.0, 0.00 v2.4.0
% 0.84/0.91  % Syntax   : Number of formulae    :   96 (   9 unt;   0 def)
% 0.84/0.91  %            Number of atoms       :  409 (  73 equ)
% 0.84/0.91  %            Maximal formula atoms :   15 (   4 avg)
% 0.84/0.91  %            Number of connectives :  342 (  29   ~;  14   |;  42   &)
% 0.84/0.91  %                                         (  26 <=>; 231  =>;   0  <=;   0 <~>)
% 0.84/0.91  %            Maximal formula depth :   20 (   7 avg)
% 0.84/0.91  %            Maximal term depth    :    4 (   1 avg)
% 0.84/0.91  %            Number of predicates  :   20 (  19 usr;   0 prp; 1-2 aty)
% 0.84/0.91  %            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
% 0.84/0.91  %            Number of variables   :  208 ( 194   !;  14   ?)
% 0.84/0.91  % SPC      : FOF_THM_RFO_SEQ
% 0.84/0.91  
% 0.84/0.91  % Comments :
% 0.84/0.91  %--------------------------------------------------------------------------
% 0.84/0.91  %----Include list specification axioms
% 0.84/0.91  include('Axioms/SWC001+0.ax').
% 0.84/0.91  %--------------------------------------------------------------------------
% 0.84/0.91  fof(co1,conjecture,
% 0.84/0.91      ! [U] :
% 0.84/0.91        ( ssList(U)
% 0.84/0.91       => ! [V] :
% 0.84/0.91            ( ssList(V)
% 0.84/0.91           => ! [W] :
% 0.84/0.91                ( ssList(W)
% 0.84/0.91               => ! [X] :
% 0.84/0.91                    ( ssList(X)
% 0.84/0.91                   => ( V != X
% 0.84/0.91                      | U != W
% 0.84/0.91                      | ~ neq(V,nil)
% 0.84/0.91                      | ~ segmentP(X,W)
% 0.84/0.91                      | ~ equalelemsP(W)
% 0.84/0.91                      | ? [Y] :
% 0.84/0.91                          ( ssList(Y)
% 0.84/0.91                          & neq(W,Y)
% 0.84/0.91                          & segmentP(X,Y)
% 0.84/0.91                          & segmentP(Y,W)
% 0.84/0.91                          & equalelemsP(Y) )
% 0.84/0.91                      | segmentP(V,U) ) ) ) ) ) ).
% 0.84/0.91  
% 0.84/0.91  %--------------------------------------------------------------------------
% 0.84/0.91  %-------------------------------------------
% 0.84/0.91  % Proof found
% 0.84/0.91  % SZS status Theorem for theBenchmark
% 0.84/0.91  % SZS output start Proof
% 0.84/0.91  %ClaNum:287(EqnAxiom:88)
% 0.84/0.91  %VarNum:1013(SingletonVarNum:328)
% 0.84/0.91  %MaxLitNum:10
% 0.84/0.91  %MaxfuncDepth:4
% 0.84/0.91  %SharedTerms:29
% 0.84/0.91  %goalClause: 89 90 94 95 96 97 105 106 107 110 242
% 0.84/0.91  %singleGoalClaCount:10
% 0.84/0.91  [89]E(a1,a2)
% 0.84/0.91  [90]E(a46,a48)
% 0.84/0.91  [91]P1(a3)
% 0.84/0.91  [92]P1(a16)
% 0.84/0.91  [93]P15(a49)
% 0.84/0.91  [94]P15(a2)
% 0.84/0.91  [95]P15(a46)
% 0.84/0.91  [96]P15(a1)
% 0.84/0.91  [97]P15(a48)
% 0.84/0.91  [98]P2(a49)
% 0.84/0.91  [99]P16(a49)
% 0.84/0.91  [100]P17(a49)
% 0.84/0.91  [101]P19(a49)
% 0.84/0.91  [102]P18(a49)
% 0.84/0.91  [103]P3(a49)
% 0.84/0.91  [104]P4(a49)
% 0.84/0.91  [105]P4(a1)
% 0.84/0.91  [106]P5(a46,a49)
% 0.84/0.91  [107]P12(a48,a1)
% 0.84/0.91  [108]~E(a16,a3)
% 0.84/0.91  [109]~P14(a49)
% 0.84/0.91  [110]~P12(a46,a2)
% 0.84/0.91  [119]~P15(x1191)+P6(x1191,a49)
% 0.84/0.91  [120]~P15(x1201)+P13(x1201,a49)
% 0.84/0.91  [121]~P15(x1211)+P12(x1211,a49)
% 0.84/0.91  [125]~P15(x1251)+P6(x1251,x1251)
% 0.84/0.91  [126]~P15(x1261)+P13(x1261,x1261)
% 0.84/0.91  [127]~P15(x1271)+P12(x1271,x1271)
% 0.84/0.91  [128]~P1(x1281)+P7(x1281,x1281)
% 0.84/0.91  [129]~P1(x1291)+P8(x1291,x1291)
% 0.84/0.91  [169]~P1(x1691)+~P10(a49,x1691)
% 0.84/0.91  [173]~P11(x1731,x1731)+~P1(x1731)
% 0.84/0.91  [123]~P15(x1231)+E(f4(x1231,a49),x1231)
% 0.84/0.91  [124]~P15(x1241)+E(f4(a49,x1241),x1241)
% 0.84/0.91  [178]~P1(x1781)+P2(f6(x1781,a49))
% 0.84/0.91  [179]~P1(x1791)+P16(f6(x1791,a49))
% 0.84/0.91  [180]~P1(x1801)+P17(f6(x1801,a49))
% 0.84/0.91  [181]~P1(x1811)+P19(f6(x1811,a49))
% 0.84/0.91  [182]~P1(x1821)+P18(f6(x1821,a49))
% 0.84/0.91  [183]~P1(x1831)+P3(f6(x1831,a49))
% 0.84/0.91  [184]~P1(x1841)+P4(f6(x1841,a49))
% 0.84/0.91  [164]~P15(x1641)+~E(a49,x1641)+P6(a49,x1641)
% 0.84/0.91  [165]~P15(x1651)+~E(a49,x1651)+P13(a49,x1651)
% 0.84/0.91  [166]~P15(x1661)+~E(a49,x1661)+P12(a49,x1661)
% 0.84/0.91  [170]~P15(x1701)+~P6(a49,x1701)+E(a49,x1701)
% 0.84/0.91  [171]~P15(x1711)+~P13(a49,x1711)+E(a49,x1711)
% 0.84/0.92  [172]~P15(x1721)+~P12(a49,x1721)+E(a49,x1721)
% 0.84/0.92  [111]~P15(x1111)+E(f50(x1111),f27(x1111))+E(a49,x1111)
% 0.84/0.92  [112]~P15(x1121)+E(f56(x1121),f45(x1121))+E(a49,x1121)
% 0.84/0.92  [113]~P15(x1131)+E(a49,x1131)+P1(f50(x1131))
% 0.84/0.92  [114]~P15(x1141)+E(a49,x1141)+P1(f28(x1141))
% 0.84/0.92  [115]~P15(x1151)+E(a49,x1151)+P1(f27(x1151))
% 0.84/0.92  [116]~P15(x1161)+E(a49,x1161)+P15(f56(x1161))
% 0.84/0.92  [117]~P15(x1171)+E(a49,x1171)+P15(f29(x1171))
% 0.84/0.92  [118]~P15(x1181)+E(a49,x1181)+P15(f45(x1181))
% 0.84/0.92  [122]P3(x1221)+~P15(x1221)+E(f30(x1221),f36(x1221))
% 0.84/0.92  [130]~P15(x1301)+P2(x1301)+P1(f5(x1301))
% 0.84/0.92  [131]~P15(x1311)+P2(x1311)+P1(f7(x1311))
% 0.84/0.92  [132]~P15(x1321)+P2(x1321)+P15(f8(x1321))
% 0.84/0.92  [133]~P15(x1331)+P2(x1331)+P15(f9(x1331))
% 0.84/0.92  [134]~P15(x1341)+P2(x1341)+P15(f10(x1341))
% 0.84/0.92  [135]~P15(x1351)+P16(x1351)+P1(f11(x1351))
% 0.84/0.92  [136]~P15(x1361)+P16(x1361)+P1(f12(x1361))
% 0.84/0.92  [137]~P15(x1371)+P16(x1371)+P15(f13(x1371))
% 0.84/0.92  [138]~P15(x1381)+P16(x1381)+P15(f14(x1381))
% 0.84/0.92  [139]~P15(x1391)+P16(x1391)+P15(f15(x1391))
% 0.84/0.92  [140]~P15(x1401)+P17(x1401)+P1(f17(x1401))
% 0.84/0.92  [141]~P15(x1411)+P17(x1411)+P1(f18(x1411))
% 0.84/0.92  [142]~P15(x1421)+P17(x1421)+P15(f19(x1421))
% 0.84/0.92  [143]~P15(x1431)+P17(x1431)+P15(f20(x1431))
% 0.84/0.92  [144]~P15(x1441)+P17(x1441)+P15(f21(x1441))
% 0.84/0.92  [145]~P15(x1451)+P19(x1451)+P1(f22(x1451))
% 0.84/0.92  [146]~P15(x1461)+P19(x1461)+P1(f23(x1461))
% 0.84/0.92  [147]~P15(x1471)+P19(x1471)+P15(f24(x1471))
% 0.84/0.92  [148]~P15(x1481)+P19(x1481)+P15(f25(x1481))
% 0.84/0.92  [149]~P15(x1491)+P19(x1491)+P15(f26(x1491))
% 0.84/0.92  [150]~P15(x1501)+P18(x1501)+P1(f31(x1501))
% 0.84/0.92  [151]~P15(x1511)+P18(x1511)+P1(f32(x1511))
% 0.84/0.92  [152]~P15(x1521)+P18(x1521)+P15(f33(x1521))
% 0.84/0.92  [153]~P15(x1531)+P18(x1531)+P15(f34(x1531))
% 0.84/0.92  [154]~P15(x1541)+P18(x1541)+P15(f35(x1541))
% 0.84/0.92  [155]~P15(x1551)+P3(x1551)+P1(f30(x1551))
% 0.84/0.92  [156]~P15(x1561)+P3(x1561)+P1(f36(x1561))
% 0.84/0.92  [157]~P15(x1571)+P3(x1571)+P15(f37(x1571))
% 0.84/0.92  [158]~P15(x1581)+P3(x1581)+P15(f38(x1581))
% 0.84/0.92  [159]~P15(x1591)+P3(x1591)+P15(f39(x1591))
% 0.84/0.92  [160]~P15(x1601)+P4(x1601)+P1(f40(x1601))
% 0.84/0.92  [161]~P15(x1611)+P4(x1611)+P1(f42(x1611))
% 0.84/0.92  [162]~P15(x1621)+P4(x1621)+P15(f43(x1621))
% 0.84/0.92  [163]~P15(x1631)+P4(x1631)+P15(f44(x1631))
% 0.84/0.92  [167]~P15(x1671)+P4(x1671)+~E(f42(x1671),f40(x1671))
% 0.84/0.92  [168]~P15(x1681)+~P14(x1681)+P1(f51(x1681))
% 0.84/0.92  [189]~P15(x1891)+P2(x1891)+P7(f5(x1891),f7(x1891))
% 0.84/0.92  [190]~P15(x1901)+P2(x1901)+P7(f7(x1901),f5(x1901))
% 0.84/0.92  [210]~P15(x2101)+P16(x2101)+~P7(f11(x2101),f12(x2101))
% 0.84/0.92  [211]~P15(x2111)+P16(x2111)+~P7(f12(x2111),f11(x2111))
% 0.84/0.92  [212]~P15(x2121)+P17(x2121)+~P11(f17(x2121),f18(x2121))
% 0.84/0.92  [213]~P15(x2131)+P17(x2131)+~P11(f18(x2131),f17(x2131))
% 0.84/0.92  [214]~P15(x2141)+P19(x2141)+~P7(f22(x2141),f23(x2141))
% 0.84/0.92  [215]~P15(x2151)+P18(x2151)+~P11(f31(x2151),f32(x2151))
% 0.84/0.92  [177]~P15(x1771)+~P14(x1771)+E(f6(f51(x1771),a49),x1771)
% 0.84/0.92  [185]~P15(x1851)+E(a49,x1851)+E(f6(f50(x1851),f56(x1851)),x1851)
% 0.84/0.92  [186]~P15(x1861)+E(a49,x1861)+E(f6(f28(x1861),f29(x1861)),x1861)
% 0.84/0.92  [276]P2(x2761)+~P15(x2761)+E(f4(f4(f8(x2761),f6(f5(x2761),f9(x2761))),f6(f7(x2761),f10(x2761))),x2761)
% 0.84/0.92  [277]P16(x2771)+~P15(x2771)+E(f4(f4(f13(x2771),f6(f11(x2771),f14(x2771))),f6(f12(x2771),f15(x2771))),x2771)
% 0.84/0.92  [278]P17(x2781)+~P15(x2781)+E(f4(f4(f19(x2781),f6(f17(x2781),f20(x2781))),f6(f18(x2781),f21(x2781))),x2781)
% 0.84/0.92  [279]P19(x2791)+~P15(x2791)+E(f4(f4(f24(x2791),f6(f22(x2791),f25(x2791))),f6(f23(x2791),f26(x2791))),x2791)
% 0.84/0.92  [280]P18(x2801)+~P15(x2801)+E(f4(f4(f33(x2801),f6(f31(x2801),f34(x2801))),f6(f32(x2801),f35(x2801))),x2801)
% 0.84/0.92  [281]P3(x2811)+~P15(x2811)+E(f4(f4(f37(x2811),f6(f30(x2811),f38(x2811))),f6(f36(x2811),f39(x2811))),x2811)
% 0.84/0.92  [274]P4(x2741)+~P15(x2741)+E(f4(f43(x2741),f6(f40(x2741),f6(f42(x2741),f44(x2741)))),x2741)
% 0.84/0.92  [187]~P1(x1871)+~P15(x1872)+~E(f6(x1871,x1872),a49)
% 0.84/0.92  [188]~P1(x1881)+~P15(x1882)+~E(f6(x1881,x1882),x1882)
% 0.84/0.92  [197]~P1(x1971)+~P15(x1972)+P15(f6(x1971,x1972))
% 0.84/0.92  [198]~P15(x1982)+~P15(x1981)+P15(f4(x1981,x1982))
% 0.84/0.92  [199]~P1(x1991)+~P15(x1992)+E(f50(f6(x1991,x1992)),x1991)
% 0.84/0.92  [200]~P1(x2001)+~P15(x2002)+E(f56(f6(x2001,x2002)),x2002)
% 0.84/0.92  [227]~P1(x2271)+~P15(x2272)+E(f4(f6(x2271,a49),x2272),f6(x2271,x2272))
% 0.84/0.92  [174]P5(x1741,x1742)+~P1(x1742)+~P1(x1741)+E(x1741,x1742)
% 0.84/0.92  [175]P5(x1751,x1752)+~P15(x1752)+~P15(x1751)+E(x1751,x1752)
% 0.84/0.92  [194]~P1(x1942)+~P1(x1941)+~P5(x1941,x1942)+~E(x1941,x1942)
% 0.84/0.92  [195]~P1(x1952)+~P1(x1951)+~P11(x1951,x1952)+~E(x1951,x1952)
% 0.84/0.92  [196]~P15(x1962)+~P15(x1961)+~P5(x1961,x1962)+~E(x1961,x1962)
% 0.84/0.92  [205]~P1(x2051)+~P1(x2052)+~P8(x2052,x2051)+P7(x2051,x2052)
% 0.84/0.92  [206]~P1(x2062)+~P1(x2061)+~P11(x2061,x2062)+P7(x2061,x2062)
% 0.84/0.92  [207]~P1(x2071)+~P1(x2072)+~P9(x2072,x2071)+P11(x2071,x2072)
% 0.84/0.92  [208]~P1(x2081)+~P1(x2082)+~P7(x2082,x2081)+P8(x2081,x2082)
% 0.84/0.92  [209]~P1(x2091)+~P1(x2092)+~P11(x2092,x2091)+P9(x2091,x2092)
% 0.84/0.92  [218]~P11(x2181,x2182)+~P11(x2182,x2181)+~P1(x2181)+~P1(x2182)
% 0.84/0.92  [219]~P9(x2191,x2192)+~P9(x2192,x2191)+~P1(x2191)+~P1(x2192)
% 0.84/0.92  [191]~P15(x1912)+~P15(x1911)+E(a49,x1911)+~E(f4(x1912,x1911),a49)
% 0.84/0.92  [192]~P15(x1922)+~P15(x1921)+E(a49,x1921)+~E(f4(x1921,x1922),a49)
% 0.84/0.92  [193]~P1(x1932)+~P15(x1931)+P14(x1931)+~E(f6(x1932,a49),x1931)
% 0.84/0.92  [202]~P1(x2021)+~P15(x2022)+~E(a49,x2022)+P19(f6(x2021,x2022))
% 0.84/0.92  [203]~P1(x2031)+~P15(x2032)+~E(a49,x2032)+P18(f6(x2031,x2032))
% 0.84/0.92  [230]~P1(x2302)+~P15(x2301)+~P10(x2301,x2302)+P15(f41(x2301,x2302))
% 0.84/0.92  [231]~P1(x2312)+~P15(x2311)+~P10(x2311,x2312)+P15(f47(x2311,x2312))
% 0.84/0.92  [232]~P15(x2322)+~P15(x2321)+~P6(x2321,x2322)+P15(f52(x2321,x2322))
% 0.84/0.92  [233]~P15(x2332)+~P15(x2331)+~P13(x2331,x2332)+P15(f53(x2331,x2332))
% 0.84/0.92  [234]~P15(x2342)+~P15(x2341)+~P12(x2341,x2342)+P15(f54(x2341,x2342))
% 0.84/0.92  [235]~P15(x2352)+~P15(x2351)+~P12(x2351,x2352)+P15(f55(x2351,x2352))
% 0.84/0.92  [204]~P15(x2042)+~P15(x2041)+E(a49,x2041)+E(f50(f4(x2041,x2042)),f50(x2041))
% 0.84/0.92  [229]~P15(x2292)+~P15(x2291)+E(a49,x2291)+E(f56(f4(x2291,x2292)),f4(f56(x2291),x2292))
% 0.84/0.92  [243]~P15(x2432)+~P15(x2431)+~P6(x2432,x2431)+E(f4(x2431,f52(x2432,x2431)),x2432)
% 0.84/0.92  [244]~P15(x2442)+~P15(x2441)+~P13(x2441,x2442)+E(f4(f53(x2441,x2442),x2442),x2441)
% 0.84/0.92  [273]~P15(x2732)+~P15(x2731)+~P12(x2731,x2732)+E(f4(f4(f54(x2731,x2732),x2732),f55(x2731,x2732)),x2731)
% 0.84/0.92  [272]~P1(x2722)+~P15(x2721)+~P10(x2721,x2722)+E(f4(f41(x2721,x2722),f6(x2722,f47(x2721,x2722))),x2721)
% 0.84/0.92  [262]~P1(x2621)+~P15(x2622)+~P15(x2623)+E(f6(x2621,f4(x2622,x2623)),f4(f6(x2621,x2622),x2623))
% 0.84/0.92  [263]~P15(x2633)+~P15(x2632)+~P15(x2631)+E(f4(f4(x2631,x2632),x2633),f4(x2631,f4(x2632,x2633)))
% 0.84/0.92  [242]~P4(x2421)+~P15(x2421)+~P12(x2421,a1)+~P5(a1,x2421)+~P12(a48,x2421)
% 0.84/0.92  [217]P11(x2171,x2172)+~P1(x2172)+~P1(x2171)+~P7(x2171,x2172)+E(x2171,x2172)
% 0.84/0.92  [222]~P1(x2222)+~P1(x2221)+~P7(x2222,x2221)+~P7(x2221,x2222)+E(x2221,x2222)
% 0.84/0.92  [223]~P1(x2232)+~P1(x2231)+~P8(x2232,x2231)+~P8(x2231,x2232)+E(x2231,x2232)
% 0.84/0.92  [224]~P15(x2242)+~P15(x2241)+~P6(x2242,x2241)+~P6(x2241,x2242)+E(x2241,x2242)
% 0.84/0.92  [225]~P15(x2252)+~P15(x2251)+~P13(x2252,x2251)+~P13(x2251,x2252)+E(x2251,x2252)
% 0.84/0.92  [226]~P15(x2262)+~P15(x2261)+~P12(x2262,x2261)+~P12(x2261,x2262)+E(x2261,x2262)
% 0.84/0.92  [176]~P15(x1761)+~P15(x1762)+~E(a49,x1761)+~E(a49,x1762)+E(f4(x1761,x1762),a49)
% 0.84/0.92  [238]P19(x2381)+~P15(x2381)+~P1(x2382)+E(a49,x2381)+~P19(f6(x2382,x2381))
% 0.84/0.92  [239]P18(x2391)+~P15(x2391)+~P1(x2392)+E(a49,x2391)+~P18(f6(x2392,x2391))
% 0.84/0.92  [253]~P1(x2532)+~P15(x2531)+E(a49,x2531)+P7(x2532,f50(x2531))+~P19(f6(x2532,x2531))
% 0.84/0.92  [254]~P1(x2542)+~P15(x2541)+E(a49,x2541)+P11(x2542,f50(x2541))+~P18(f6(x2542,x2541))
% 0.84/0.92  [220]~P15(x2201)+~P15(x2202)+~P15(x2203)+P6(x2201,x2202)+~E(f4(x2202,x2203),x2201)
% 0.84/0.92  [221]~P15(x2211)+~P15(x2212)+~P15(x2213)+P13(x2211,x2212)+~E(f4(x2213,x2212),x2211)
% 0.84/0.92  [228]~E(x2283,x2281)+~P1(x2281)+~P1(x2283)+~P15(x2282)+P10(f6(x2281,x2282),x2283)
% 0.84/0.92  [236]~P15(x2362)+~P15(x2363)+~P15(x2361)+E(x2361,x2362)+~E(f4(x2363,x2361),f4(x2363,x2362))
% 0.84/0.92  [237]~P15(x2372)+~P15(x2373)+~P15(x2371)+E(x2371,x2372)+~E(f4(x2371,x2373),f4(x2372,x2373))
% 0.84/0.92  [255]~P1(x2551)+~P1(x2553)+~P15(x2552)+~P10(x2552,x2553)+P10(f6(x2551,x2552),x2553)
% 0.84/0.92  [256]~P1(x2563)+~P15(x2561)+~P15(x2562)+~P10(x2562,x2563)+P10(f4(x2561,x2562),x2563)
% 0.84/0.92  [257]~P1(x2573)+~P15(x2572)+~P15(x2571)+~P10(x2571,x2573)+P10(f4(x2571,x2572),x2573)
% 0.84/0.92  [258]~P15(x2582)+~P15(x2583)+~P15(x2581)+~P6(x2581,x2583)+P6(f4(x2581,x2582),x2583)
% 0.84/0.92  [259]~P15(x2591)+~P15(x2593)+~P15(x2592)+~P13(x2592,x2593)+P13(f4(x2591,x2592),x2593)
% 0.84/0.92  [260]~P1(x2602)+~P15(x2601)+~P19(x2601)+~P7(x2602,f50(x2601))+E(a49,x2601)+P19(f6(x2602,x2601))
% 0.84/0.92  [261]~P1(x2612)+~P15(x2611)+~P18(x2611)+~P11(x2612,f50(x2611))+E(a49,x2611)+P18(f6(x2612,x2611))
% 0.84/0.92  [245]~P15(x2452)+~P15(x2451)+~P6(x2453,x2452)+~P6(x2451,x2453)+P6(x2451,x2452)+~P15(x2453)
% 0.84/0.92  [246]~P15(x2462)+~P15(x2461)+~P13(x2463,x2462)+~P13(x2461,x2463)+P13(x2461,x2462)+~P15(x2463)
% 0.84/0.92  [247]~P15(x2472)+~P15(x2471)+~P12(x2473,x2472)+~P12(x2471,x2473)+P12(x2471,x2472)+~P15(x2473)
% 0.84/0.92  [248]~P1(x2482)+~P1(x2481)+~P7(x2483,x2482)+~P7(x2481,x2483)+P7(x2481,x2482)+~P1(x2483)
% 0.84/0.92  [249]~P1(x2492)+~P1(x2491)+~P7(x2491,x2493)+~P11(x2493,x2492)+P11(x2491,x2492)+~P1(x2493)
% 0.84/0.92  [250]~P1(x2502)+~P1(x2501)+~P11(x2503,x2502)+~P11(x2501,x2503)+P11(x2501,x2502)+~P1(x2503)
% 0.84/0.92  [251]~P1(x2512)+~P1(x2511)+~P8(x2513,x2512)+~P8(x2511,x2513)+P8(x2511,x2512)+~P1(x2513)
% 0.84/0.92  [252]~P1(x2522)+~P1(x2521)+~P9(x2523,x2522)+~P9(x2521,x2523)+P9(x2521,x2522)+~P1(x2523)
% 0.84/0.92  [264]~P1(x2642)+~P1(x2641)+~P15(x2643)+E(x2641,x2642)+P10(x2643,x2642)+~P10(f6(x2641,x2643),x2642)
% 0.84/0.92  [267]~P1(x2672)+~P15(x2671)+~P15(x2673)+P10(x2671,x2672)+P10(x2673,x2672)+~P10(f4(x2673,x2671),x2672)
% 0.84/0.92  [240]~P1(x2404)+~P1(x2403)+~P15(x2402)+~P15(x2401)+E(x2401,x2402)+~E(f6(x2403,x2402),f6(x2404,x2401))
% 0.84/0.92  [241]~P1(x2412)+~P1(x2411)+~P15(x2414)+~P15(x2413)+E(x2411,x2412)+~E(f6(x2411,x2413),f6(x2412,x2414))
% 0.84/0.92  [269]~P1(x2692)+~P1(x2691)+E(x2691,x2692)+~P15(x2693)+~P15(x2694)+~P6(f6(x2691,x2694),f6(x2692,x2693))
% 0.84/0.92  [271]~P15(x2712)+~P15(x2711)+P6(x2711,x2712)+~P1(x2713)+~P1(x2714)+~P6(f6(x2714,x2711),f6(x2713,x2712))
% 0.84/0.92  [265]~P1(x2652)+~P15(x2651)+~P15(x2654)+~P15(x2653)+P10(x2651,x2652)+~E(f4(x2653,f6(x2652,x2654)),x2651)
% 0.84/0.92  [266]~P15(x2661)+~P15(x2662)+~P15(x2664)+~P15(x2663)+P12(x2661,x2662)+~E(f4(f4(x2663,x2662),x2664),x2661)
% 0.84/0.92  [270]~P15(x2703)+~P15(x2701)+~P15(x2704)+~P15(x2702)+~P12(x2702,x2704)+P12(f4(f4(x2701,x2702),x2703),x2704)
% 0.84/0.92  [201]~P15(x2012)+~P15(x2011)+E(x2011,x2012)+E(a49,x2012)+E(a49,x2011)+~E(f50(x2011),f50(x2012))+~E(f56(x2011),f56(x2012))
% 0.84/0.92  [268]~E(x2681,x2683)+~P1(x2683)+~P1(x2681)+~P15(x2684)+~P15(x2682)+~P6(x2682,x2684)+P6(f6(x2681,x2682),f6(x2683,x2684))
% 0.84/0.92  [275]~P1(x2752)+~P1(x2751)+~P15(x2754)+~P15(x2753)+~P15(x2755)+~P4(x2755)+E(x2751,x2752)+~E(f4(x2753,f6(x2751,f6(x2752,x2754))),x2755)
% 0.84/0.92  [282]~P1(x2822)+~P1(x2821)+~P15(x2825)+~P15(x2824)+~P15(x2823)+~P15(x2826)+~P3(x2826)+~E(x2821,x2822)+~E(f4(f4(x2823,f6(x2821,x2824)),f6(x2822,x2825)),x2826)
% 0.84/0.92  [283]~P1(x2832)+~P1(x2831)+~P15(x2835)+~P15(x2834)+~P15(x2833)+~P15(x2836)+~P19(x2836)+P7(x2831,x2832)+~E(f4(f4(x2833,f6(x2831,x2834)),f6(x2832,x2835)),x2836)
% 0.84/0.92  [284]~P1(x2842)+~P1(x2841)+~P15(x2845)+~P15(x2844)+~P15(x2843)+~P15(x2846)+~P18(x2846)+P11(x2841,x2842)+~E(f4(f4(x2843,f6(x2841,x2844)),f6(x2842,x2845)),x2846)
% 0.84/0.92  [285]P7(x2852,x2851)+~P1(x2851)+~P1(x2852)+~P15(x2855)+~P15(x2854)+~P15(x2853)+~P15(x2856)+~P16(x2856)+P7(x2851,x2852)+~E(f4(f4(x2853,f6(x2852,x2854)),f6(x2851,x2855)),x2856)
% 0.84/0.92  [286]P11(x2862,x2861)+~P1(x2861)+~P1(x2862)+~P15(x2865)+~P15(x2864)+~P15(x2863)+~P15(x2866)+~P17(x2866)+P11(x2861,x2862)+~E(f4(f4(x2863,f6(x2862,x2864)),f6(x2861,x2865)),x2866)
% 0.84/0.92  [287]~P1(x2874)+~P1(x2872)+~P15(x2875)+~P15(x2873)+~P15(x2871)+~P15(x2876)+~P2(x2876)+~P7(x2874,x2872)+~P7(x2872,x2874)+~E(f4(f4(x2871,f6(x2872,x2873)),f6(x2874,x2875)),x2876)
% 0.84/0.92  %EqnAxiom
% 0.84/0.92  [1]E(x11,x11)
% 0.84/0.92  [2]E(x22,x21)+~E(x21,x22)
% 0.84/0.92  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.84/0.92  [4]~E(x41,x42)+E(f50(x41),f50(x42))
% 0.84/0.92  [5]~E(x51,x52)+E(f27(x51),f27(x52))
% 0.84/0.92  [6]~E(x61,x62)+E(f56(x61),f56(x62))
% 0.84/0.92  [7]~E(x71,x72)+E(f45(x71),f45(x72))
% 0.84/0.92  [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 0.84/0.92  [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 0.84/0.92  [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 0.84/0.92  [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 0.84/0.92  [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 0.84/0.92  [13]~E(x131,x132)+E(f44(x131),f44(x132))
% 0.84/0.92  [14]~E(x141,x142)+E(f29(x141),f29(x142))
% 0.84/0.92  [15]~E(x151,x152)+E(f42(x151),f42(x152))
% 0.84/0.92  [16]~E(x161,x162)+E(f30(x161),f30(x162))
% 0.84/0.92  [17]~E(x171,x172)+E(f36(x171),f36(x172))
% 0.84/0.92  [18]~E(x181,x182)+E(f40(x181),f40(x182))
% 0.84/0.92  [19]~E(x191,x192)+E(f43(x191),f43(x192))
% 0.84/0.92  [20]~E(x201,x202)+E(f5(x201),f5(x202))
% 0.84/0.92  [21]~E(x211,x212)+E(f7(x211),f7(x212))
% 0.84/0.92  [22]~E(x221,x222)+E(f8(x221),f8(x222))
% 0.84/0.92  [23]~E(x231,x232)+E(f9(x231),f9(x232))
% 0.84/0.92  [24]~E(x241,x242)+E(f10(x241),f10(x242))
% 0.84/0.92  [25]~E(x251,x252)+E(f11(x251),f11(x252))
% 0.84/0.92  [26]~E(x261,x262)+E(f12(x261),f12(x262))
% 0.84/0.92  [27]~E(x271,x272)+E(f13(x271),f13(x272))
% 0.84/0.92  [28]~E(x281,x282)+E(f14(x281),f14(x282))
% 0.84/0.92  [29]~E(x291,x292)+E(f15(x291),f15(x292))
% 0.84/0.92  [30]~E(x301,x302)+E(f17(x301),f17(x302))
% 0.84/0.92  [31]~E(x311,x312)+E(f18(x311),f18(x312))
% 0.84/0.92  [32]~E(x321,x322)+E(f19(x321),f19(x322))
% 0.84/0.92  [33]~E(x331,x332)+E(f20(x331),f20(x332))
% 0.84/0.92  [34]~E(x341,x342)+E(f21(x341),f21(x342))
% 0.84/0.92  [35]~E(x351,x352)+E(f22(x351),f22(x352))
% 0.84/0.92  [36]~E(x361,x362)+E(f23(x361),f23(x362))
% 0.84/0.92  [37]~E(x371,x372)+E(f24(x371),f24(x372))
% 0.84/0.92  [38]~E(x381,x382)+E(f25(x381),f25(x382))
% 0.84/0.92  [39]~E(x391,x392)+E(f26(x391),f26(x392))
% 0.84/0.92  [40]~E(x401,x402)+E(f31(x401),f31(x402))
% 0.84/0.92  [41]~E(x411,x412)+E(f32(x411),f32(x412))
% 0.84/0.92  [42]~E(x421,x422)+E(f33(x421),f33(x422))
% 0.84/0.92  [43]~E(x431,x432)+E(f34(x431),f34(x432))
% 0.84/0.92  [44]~E(x441,x442)+E(f35(x441),f35(x442))
% 0.84/0.92  [45]~E(x451,x452)+E(f53(x451,x453),f53(x452,x453))
% 0.84/0.92  [46]~E(x461,x462)+E(f53(x463,x461),f53(x463,x462))
% 0.84/0.92  [47]~E(x471,x472)+E(f37(x471),f37(x472))
% 0.84/0.92  [48]~E(x481,x482)+E(f41(x481,x483),f41(x482,x483))
% 0.84/0.92  [49]~E(x491,x492)+E(f41(x493,x491),f41(x493,x492))
% 0.84/0.92  [50]~E(x501,x502)+E(f38(x501),f38(x502))
% 0.84/0.92  [51]~E(x511,x512)+E(f39(x511),f39(x512))
% 0.84/0.92  [52]~E(x521,x522)+E(f54(x521,x523),f54(x522,x523))
% 0.84/0.92  [53]~E(x531,x532)+E(f54(x533,x531),f54(x533,x532))
% 0.84/0.92  [54]~E(x541,x542)+E(f47(x541,x543),f47(x542,x543))
% 0.84/0.92  [55]~E(x551,x552)+E(f47(x553,x551),f47(x553,x552))
% 0.84/0.92  [56]~E(x561,x562)+E(f55(x561,x563),f55(x562,x563))
% 0.84/0.92  [57]~E(x571,x572)+E(f55(x573,x571),f55(x573,x572))
% 0.84/0.92  [58]~E(x581,x582)+E(f52(x581,x583),f52(x582,x583))
% 0.84/0.92  [59]~E(x591,x592)+E(f52(x593,x591),f52(x593,x592))
% 0.84/0.92  [60]~E(x601,x602)+E(f51(x601),f51(x602))
% 0.84/0.92  [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 0.84/0.92  [62]P7(x622,x623)+~E(x621,x622)+~P7(x621,x623)
% 0.84/0.92  [63]P7(x633,x632)+~E(x631,x632)+~P7(x633,x631)
% 0.84/0.92  [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 0.84/0.92  [65]P10(x652,x653)+~E(x651,x652)+~P10(x651,x653)
% 0.84/0.92  [66]P10(x663,x662)+~E(x661,x662)+~P10(x663,x661)
% 0.84/0.92  [67]~P3(x671)+P3(x672)+~E(x671,x672)
% 0.84/0.92  [68]~P2(x681)+P2(x682)+~E(x681,x682)
% 0.84/0.92  [69]~P18(x691)+P18(x692)+~E(x691,x692)
% 0.84/0.92  [70]P5(x702,x703)+~E(x701,x702)+~P5(x701,x703)
% 0.84/0.92  [71]P5(x713,x712)+~E(x711,x712)+~P5(x713,x711)
% 0.84/0.92  [72]~P16(x721)+P16(x722)+~E(x721,x722)
% 0.84/0.92  [73]~P17(x731)+P17(x732)+~E(x731,x732)
% 0.84/0.92  [74]~P19(x741)+P19(x742)+~E(x741,x742)
% 0.84/0.92  [75]P6(x752,x753)+~E(x751,x752)+~P6(x751,x753)
% 0.84/0.92  [76]P6(x763,x762)+~E(x761,x762)+~P6(x763,x761)
% 0.84/0.92  [77]~P4(x771)+P4(x772)+~E(x771,x772)
% 0.84/0.92  [78]P11(x782,x783)+~E(x781,x782)+~P11(x781,x783)
% 0.84/0.92  [79]P11(x793,x792)+~E(x791,x792)+~P11(x793,x791)
% 0.84/0.92  [80]P12(x802,x803)+~E(x801,x802)+~P12(x801,x803)
% 0.84/0.92  [81]P12(x813,x812)+~E(x811,x812)+~P12(x813,x811)
% 0.84/0.92  [82]P13(x822,x823)+~E(x821,x822)+~P13(x821,x823)
% 0.84/0.92  [83]P13(x833,x832)+~E(x831,x832)+~P13(x833,x831)
% 0.84/0.92  [84]P8(x842,x843)+~E(x841,x842)+~P8(x841,x843)
% 0.84/0.92  [85]P8(x853,x852)+~E(x851,x852)+~P8(x853,x851)
% 0.84/0.92  [86]~P14(x861)+P14(x862)+~E(x861,x862)
% 0.84/0.92  [87]P9(x872,x873)+~E(x871,x872)+~P9(x871,x873)
% 0.84/0.92  [88]P9(x883,x882)+~E(x881,x882)+~P9(x883,x881)
% 0.84/0.92  
% 0.84/0.92  %-------------------------------------------
% 0.84/0.92  cnf(288,plain,
% 0.84/0.92     (E(a2,a1)),
% 0.84/0.92     inference(scs_inference,[],[89,2])).
% 0.84/0.92  cnf(289,plain,
% 0.84/0.92     (~P11(a3,a3)),
% 0.84/0.92     inference(scs_inference,[],[89,91,2,173])).
% 0.84/0.92  cnf(292,plain,
% 0.84/0.92     (~E(a48,a46)),
% 0.84/0.92     inference(scs_inference,[],[89,107,110,91,2,173,81,80])).
% 0.84/0.92  cnf(297,plain,
% 0.84/0.92     (~P10(a49,a3)),
% 0.84/0.92     inference(scs_inference,[],[89,90,95,105,106,107,110,91,93,2,173,81,80,77,70,196,169])).
% 0.84/0.92  cnf(303,plain,
% 0.84/0.92     (P12(a2,a2)),
% 0.84/0.92     inference(scs_inference,[],[89,90,94,95,105,106,107,110,91,93,2,173,81,80,77,70,196,169,129,128,127])).
% 0.84/0.92  cnf(305,plain,
% 0.84/0.92     (P13(a2,a2)),
% 0.84/0.92     inference(scs_inference,[],[89,90,94,95,105,106,107,110,91,93,2,173,81,80,77,70,196,169,129,128,127,126])).
% 0.84/0.92  cnf(307,plain,
% 0.84/0.92     (P6(a2,a2)),
% 0.84/0.92     inference(scs_inference,[],[89,90,94,95,105,106,107,110,91,93,2,173,81,80,77,70,196,169,129,128,127,126,125])).
% 0.84/0.92  cnf(313,plain,
% 0.84/0.92     (P6(a2,a49)),
% 0.84/0.92     inference(scs_inference,[],[89,90,94,95,105,106,107,110,91,93,2,173,81,80,77,70,196,169,129,128,127,126,125,121,120,119])).
% 0.84/0.92  cnf(334,plain,
% 0.84/0.92     (E(f52(x3341,a1),f52(x3341,a2))),
% 0.84/0.92     inference(scs_inference,[],[89,90,94,95,105,106,107,110,91,93,2,173,81,80,77,70,196,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,60,59])).
% 0.84/0.92  cnf(335,plain,
% 0.84/0.92     (E(f52(a1,x3351),f52(a2,x3351))),
% 0.84/0.92     inference(scs_inference,[],[89,90,94,95,105,106,107,110,91,93,2,173,81,80,77,70,196,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,60,59,58])).
% 0.84/0.92  cnf(487,plain,
% 0.84/0.92     (P15(f52(a2,a2))),
% 0.84/0.92     inference(scs_inference,[],[96,95,97,92,94,307,292,199,198,197,227,175,232])).
% 0.84/0.92  cnf(495,plain,
% 0.84/0.93     (E(f4(a2,f52(a2,a2)),a2)),
% 0.84/0.93     inference(scs_inference,[],[96,95,97,92,94,305,307,292,199,198,197,227,175,232,263,262,244,243])).
% 0.84/0.93  cnf(511,plain,
% 0.84/0.93     (P13(a1,a2)),
% 0.84/0.93     inference(scs_inference,[],[100,105,108,96,95,93,97,92,91,94,289,305,307,288,292,297,303,199,198,197,227,175,232,263,262,244,243,273,258,270,264,275,286,2,83,82])).
% 0.84/0.93  cnf(512,plain,
% 0.84/0.93     (P6(a1,a2)),
% 0.84/0.93     inference(scs_inference,[],[100,105,108,96,95,93,97,92,91,94,289,305,307,288,292,297,303,199,198,197,227,175,232,263,262,244,243,273,258,270,264,275,286,2,83,82,75])).
% 0.84/0.93  cnf(533,plain,
% 0.84/0.93     (~P12(a46,a1)),
% 0.84/0.93     inference(scs_inference,[],[89,100,105,110,108,96,95,93,97,92,91,94,289,305,307,288,292,297,303,199,198,197,227,175,232,263,262,244,243,273,258,270,264,275,286,2,83,82,75,200,188,187,207,196,174,235,234,233,259,81])).
% 0.84/0.93  cnf(540,plain,
% 0.84/0.93     (P13(a1,a1)),
% 0.84/0.93     inference(scs_inference,[],[89,101,100,105,110,90,108,96,95,93,97,92,91,94,289,334,335,305,307,288,292,297,303,199,198,197,227,175,232,263,262,244,243,273,258,270,264,275,286,2,83,82,75,200,188,187,207,196,174,235,234,233,259,81,76,71,3,74,246])).
% 0.84/0.93  cnf(542,plain,
% 0.84/0.93     (P6(a1,a1)),
% 0.84/0.93     inference(scs_inference,[],[89,101,100,105,110,90,108,96,95,93,97,92,91,94,289,334,335,305,307,288,292,297,303,199,198,197,227,175,232,263,262,244,243,273,258,270,264,275,286,2,83,82,75,200,188,187,207,196,174,235,234,233,259,81,76,71,3,74,246,245])).
% 0.84/0.93  cnf(595,plain,
% 0.84/0.93     ($false),
% 0.84/0.93     inference(scs_inference,[],[90,100,107,95,97,93,92,96,91,94,495,487,313,511,512,533,540,542,292,289,221,247,232,244,258,286,235,233,263,262,243,273,259,2]),
% 0.84/0.93     ['proof']).
% 0.84/0.93  % SZS output end Proof
% 0.84/0.93  % Total time :0.240000s
%------------------------------------------------------------------------------