TSTP Solution File: SWC406+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SWC406+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 : 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 20:18:52 EDT 2023

% Result   : Theorem 1.18s 1.25s
% Output   : CNFRefutation 1.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWC406+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35  % Computer : n010.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 18:13:19 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.21/0.57  start to proof:theBenchmark
% 1.18/1.24  %-------------------------------------------
% 1.18/1.24  % File        :CSE---1.6
% 1.18/1.24  % Problem     :theBenchmark
% 1.18/1.24  % Transform   :cnf
% 1.18/1.24  % Format      :tptp:raw
% 1.18/1.24  % Command     :java -jar mcs_scs.jar %d %s
% 1.18/1.24  
% 1.18/1.24  % Result      :Theorem 0.540000s
% 1.18/1.24  % Output      :CNFRefutation 0.540000s
% 1.18/1.24  %-------------------------------------------
% 1.18/1.25  %--------------------------------------------------------------------------
% 1.18/1.25  % File     : SWC406+1 : TPTP v8.1.2. Released v2.4.0.
% 1.18/1.25  % Domain   : Software Creation
% 1.18/1.25  % Problem  : cond_subst_x_set_min_elems
% 1.18/1.25  % Version  : [Wei00] axioms.
% 1.18/1.25  % English  : Find components in a software library that match a given target
% 1.18/1.25  %            specification given in first-order logic. The components are
% 1.18/1.25  %            specified in first-order logic as well. The problem represents
% 1.18/1.25  %            a test of one library module specification against a target
% 1.18/1.25  %            specification.
% 1.18/1.25  
% 1.18/1.25  % Refs     : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 1.18/1.25  %          : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 1.18/1.25  % Source   : [Wei00]
% 1.18/1.25  % Names    : cond_subst_x_set_min_elems [Wei00]
% 1.18/1.25  
% 1.18/1.25  % Status   : Theorem
% 1.18/1.25  % Rating   : 0.11 v8.1.0, 0.17 v7.5.0, 0.19 v7.4.0, 0.10 v7.1.0, 0.17 v7.0.0, 0.13 v6.4.0, 0.15 v6.3.0, 0.21 v6.2.0, 0.28 v6.1.0, 0.27 v6.0.0, 0.17 v5.5.0, 0.15 v5.4.0, 0.18 v5.3.0, 0.22 v5.2.0, 0.15 v5.1.0, 0.10 v5.0.0, 0.08 v4.1.0, 0.09 v4.0.1, 0.13 v4.0.0, 0.12 v3.7.0, 0.10 v3.5.0, 0.11 v3.4.0, 0.16 v3.3.0, 0.07 v3.2.0, 0.09 v3.1.0, 0.11 v2.7.0, 0.17 v2.5.0, 0.00 v2.4.0
% 1.18/1.25  % Syntax   : Number of formulae    :   96 (   9 unt;   0 def)
% 1.18/1.25  %            Number of atoms       :  416 (  75 equ)
% 1.18/1.25  %            Maximal formula atoms :   22 (   4 avg)
% 1.18/1.25  %            Number of connectives :  352 (  32   ~;  16   |;  45   &)
% 1.18/1.25  %                                         (  26 <=>; 233  =>;   0  <=;   0 <~>)
% 1.18/1.25  %            Maximal formula depth :   22 (   7 avg)
% 1.18/1.25  %            Maximal term depth    :    4 (   1 avg)
% 1.18/1.25  %            Number of predicates  :   20 (  19 usr;   0 prp; 1-2 aty)
% 1.18/1.25  %            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
% 1.18/1.25  %            Number of variables   :  211 ( 196   !;  15   ?)
% 1.18/1.25  % SPC      : FOF_THM_RFO_SEQ
% 1.18/1.25  
% 1.18/1.25  % Comments :
% 1.18/1.25  %--------------------------------------------------------------------------
% 1.18/1.25  %----Include list specification axioms
% 1.18/1.25  include('Axioms/SWC001+0.ax').
% 1.18/1.25  %--------------------------------------------------------------------------
% 1.18/1.25  fof(co1,conjecture,
% 1.18/1.25      ! [U] :
% 1.18/1.25        ( ssList(U)
% 1.18/1.25       => ! [V] :
% 1.18/1.25            ( ssList(V)
% 1.18/1.25           => ! [W] :
% 1.18/1.25                ( ssList(W)
% 1.18/1.25               => ! [X] :
% 1.18/1.25                    ( ssList(X)
% 1.18/1.25                   => ( V != X
% 1.18/1.25                      | U != W
% 1.18/1.25                      | ? [Y] :
% 1.18/1.25                          ( ssItem(Y)
% 1.18/1.25                          & ( ( ~ memberP(W,Y)
% 1.18/1.25                              & ! [Z] :
% 1.18/1.25                                  ( ssItem(Z)
% 1.18/1.25                                 => ( ~ memberP(X,Z)
% 1.18/1.25                                    | ~ leq(Z,Y)
% 1.18/1.25                                    | Y = Z ) )
% 1.18/1.25                              & memberP(X,Y) )
% 1.18/1.25                            | ( memberP(W,Y)
% 1.18/1.25                              & ( ~ memberP(X,Y)
% 1.18/1.25                                | ? [Z] :
% 1.18/1.25                                    ( ssItem(Z)
% 1.18/1.25                                    & Y != Z
% 1.18/1.25                                    & memberP(X,Z)
% 1.18/1.25                                    & leq(Z,Y) ) ) ) ) )
% 1.18/1.25                      | ! [X1] :
% 1.18/1.25                          ( ssItem(X1)
% 1.18/1.25                         => ( ~ memberP(U,X1)
% 1.18/1.25                            | memberP(V,X1) ) ) ) ) ) ) ) ).
% 1.18/1.25  
% 1.18/1.25  %--------------------------------------------------------------------------
% 1.18/1.25  %-------------------------------------------
% 1.18/1.25  % Proof found
% 1.18/1.25  % SZS status Theorem for theBenchmark
% 1.18/1.25  % SZS output start Proof
% 1.18/1.25  %ClaNum:292(EqnAxiom:89)
% 1.18/1.25  %VarNum:1037(SingletonVarNum:334)
% 1.18/1.25  %MaxLitNum:10
% 1.18/1.25  %MaxfuncDepth:4
% 1.18/1.25  %SharedTerms:29
% 1.18/1.25  %goalClause: 90 91 94 96 97 98 99 107 110 193 205 207 221 226 249
% 1.18/1.25  %singleGoalClaCount:9
% 1.18/1.25  [90]E(a1,a2)
% 1.18/1.25  [91]E(a46,a48)
% 1.18/1.25  [92]P1(a3)
% 1.18/1.25  [93]P1(a16)
% 1.18/1.25  [94]P1(a49)
% 1.18/1.25  [95]P15(a51)
% 1.18/1.25  [96]P15(a2)
% 1.18/1.25  [97]P15(a46)
% 1.18/1.25  [98]P15(a1)
% 1.18/1.25  [99]P15(a48)
% 1.18/1.25  [100]P2(a51)
% 1.18/1.25  [101]P16(a51)
% 1.18/1.25  [102]P17(a51)
% 1.18/1.25  [103]P19(a51)
% 1.18/1.25  [104]P18(a51)
% 1.18/1.25  [105]P3(a51)
% 1.18/1.25  [106]P4(a51)
% 1.18/1.25  [107]P5(a2,a49)
% 1.18/1.25  [108]~E(a16,a3)
% 1.18/1.25  [109]~P11(a51)
% 1.18/1.25  [110]~P5(a46,a49)
% 1.18/1.25  [119]~P15(x1191)+P6(x1191,a51)
% 1.18/1.25  [120]~P15(x1201)+P12(x1201,a51)
% 1.18/1.25  [121]~P15(x1211)+P14(x1211,a51)
% 1.18/1.25  [125]~P15(x1251)+P6(x1251,x1251)
% 1.18/1.25  [126]~P15(x1261)+P12(x1261,x1261)
% 1.18/1.25  [127]~P15(x1271)+P14(x1271,x1271)
% 1.18/1.25  [128]~P1(x1281)+P7(x1281,x1281)
% 1.18/1.25  [129]~P1(x1291)+P8(x1291,x1291)
% 1.18/1.25  [169]~P1(x1691)+~P5(a51,x1691)
% 1.18/1.25  [173]~P10(x1731,x1731)+~P1(x1731)
% 1.18/1.25  [123]~P15(x1231)+E(f4(x1231,a51),x1231)
% 1.18/1.25  [124]~P15(x1241)+E(f4(a51,x1241),x1241)
% 1.18/1.25  [178]~P1(x1781)+P2(f6(x1781,a51))
% 1.18/1.25  [179]~P1(x1791)+P16(f6(x1791,a51))
% 1.18/1.25  [180]~P1(x1801)+P17(f6(x1801,a51))
% 1.18/1.26  [181]~P1(x1811)+P19(f6(x1811,a51))
% 1.18/1.26  [182]~P1(x1821)+P18(f6(x1821,a51))
% 1.18/1.26  [183]~P1(x1831)+P3(f6(x1831,a51))
% 1.18/1.26  [184]~P1(x1841)+P4(f6(x1841,a51))
% 1.18/1.26  [164]~P15(x1641)+~E(a51,x1641)+P6(a51,x1641)
% 1.18/1.26  [165]~P15(x1651)+~E(a51,x1651)+P12(a51,x1651)
% 1.18/1.26  [166]~P15(x1661)+~E(a51,x1661)+P14(a51,x1661)
% 1.18/1.26  [170]~P15(x1701)+~P6(a51,x1701)+E(a51,x1701)
% 1.18/1.26  [171]~P15(x1711)+~P12(a51,x1711)+E(a51,x1711)
% 1.18/1.26  [172]~P15(x1721)+~P14(a51,x1721)+E(a51,x1721)
% 1.18/1.26  [193]~P1(x1931)+~P5(a1,x1931)+P5(a48,x1931)
% 1.18/1.26  [111]~P15(x1111)+E(f52(x1111),f27(x1111))+E(a51,x1111)
% 1.18/1.26  [112]~P15(x1121)+E(f58(x1121),f45(x1121))+E(a51,x1121)
% 1.18/1.26  [113]~P15(x1131)+E(a51,x1131)+P1(f52(x1131))
% 1.18/1.26  [114]~P15(x1141)+E(a51,x1141)+P1(f28(x1141))
% 1.18/1.26  [115]~P15(x1151)+E(a51,x1151)+P1(f27(x1151))
% 1.18/1.26  [116]~P15(x1161)+E(a51,x1161)+P15(f58(x1161))
% 1.18/1.26  [117]~P15(x1171)+E(a51,x1171)+P15(f29(x1171))
% 1.18/1.26  [118]~P15(x1181)+E(a51,x1181)+P15(f45(x1181))
% 1.18/1.26  [122]P3(x1221)+~P15(x1221)+E(f30(x1221),f36(x1221))
% 1.18/1.26  [130]~P15(x1301)+P2(x1301)+P1(f5(x1301))
% 1.18/1.26  [131]~P15(x1311)+P2(x1311)+P1(f7(x1311))
% 1.18/1.26  [132]~P15(x1321)+P2(x1321)+P15(f8(x1321))
% 1.18/1.26  [133]~P15(x1331)+P2(x1331)+P15(f9(x1331))
% 1.18/1.26  [134]~P15(x1341)+P2(x1341)+P15(f10(x1341))
% 1.18/1.26  [135]~P15(x1351)+P16(x1351)+P1(f11(x1351))
% 1.18/1.26  [136]~P15(x1361)+P16(x1361)+P1(f12(x1361))
% 1.18/1.26  [137]~P15(x1371)+P16(x1371)+P15(f13(x1371))
% 1.18/1.26  [138]~P15(x1381)+P16(x1381)+P15(f14(x1381))
% 1.18/1.26  [139]~P15(x1391)+P16(x1391)+P15(f15(x1391))
% 1.18/1.26  [140]~P15(x1401)+P17(x1401)+P1(f17(x1401))
% 1.18/1.26  [141]~P15(x1411)+P17(x1411)+P1(f18(x1411))
% 1.18/1.26  [142]~P15(x1421)+P17(x1421)+P15(f19(x1421))
% 1.18/1.26  [143]~P15(x1431)+P17(x1431)+P15(f20(x1431))
% 1.18/1.26  [144]~P15(x1441)+P17(x1441)+P15(f21(x1441))
% 1.18/1.26  [145]~P15(x1451)+P19(x1451)+P1(f22(x1451))
% 1.18/1.26  [146]~P15(x1461)+P19(x1461)+P1(f23(x1461))
% 1.18/1.26  [147]~P15(x1471)+P19(x1471)+P15(f24(x1471))
% 1.18/1.26  [148]~P15(x1481)+P19(x1481)+P15(f25(x1481))
% 1.18/1.26  [149]~P15(x1491)+P19(x1491)+P15(f26(x1491))
% 1.18/1.26  [150]~P15(x1501)+P18(x1501)+P1(f31(x1501))
% 1.18/1.26  [151]~P15(x1511)+P18(x1511)+P1(f32(x1511))
% 1.18/1.26  [152]~P15(x1521)+P18(x1521)+P15(f33(x1521))
% 1.18/1.26  [153]~P15(x1531)+P18(x1531)+P15(f34(x1531))
% 1.18/1.26  [154]~P15(x1541)+P18(x1541)+P15(f35(x1541))
% 1.18/1.26  [155]~P15(x1551)+P3(x1551)+P1(f30(x1551))
% 1.18/1.26  [156]~P15(x1561)+P3(x1561)+P1(f36(x1561))
% 1.18/1.26  [157]~P15(x1571)+P3(x1571)+P15(f37(x1571))
% 1.18/1.26  [158]~P15(x1581)+P3(x1581)+P15(f38(x1581))
% 1.18/1.26  [159]~P15(x1591)+P3(x1591)+P15(f39(x1591))
% 1.18/1.26  [160]~P15(x1601)+P4(x1601)+P1(f40(x1601))
% 1.18/1.26  [161]~P15(x1611)+P4(x1611)+P1(f42(x1611))
% 1.18/1.26  [162]~P15(x1621)+P4(x1621)+P15(f43(x1621))
% 1.18/1.26  [163]~P15(x1631)+P4(x1631)+P15(f44(x1631))
% 1.18/1.26  [167]~P15(x1671)+P4(x1671)+~E(f42(x1671),f40(x1671))
% 1.18/1.26  [168]~P15(x1681)+~P11(x1681)+P1(f53(x1681))
% 1.18/1.26  [189]~P15(x1891)+P2(x1891)+P7(f5(x1891),f7(x1891))
% 1.18/1.26  [190]~P15(x1901)+P2(x1901)+P7(f7(x1901),f5(x1901))
% 1.18/1.26  [213]~P15(x2131)+P16(x2131)+~P7(f11(x2131),f12(x2131))
% 1.18/1.26  [214]~P15(x2141)+P16(x2141)+~P7(f12(x2141),f11(x2141))
% 1.18/1.26  [215]~P15(x2151)+P17(x2151)+~P10(f17(x2151),f18(x2151))
% 1.18/1.26  [216]~P15(x2161)+P17(x2161)+~P10(f18(x2161),f17(x2161))
% 1.18/1.26  [217]~P15(x2171)+P19(x2171)+~P7(f22(x2171),f23(x2171))
% 1.18/1.26  [218]~P15(x2181)+P18(x2181)+~P10(f31(x2181),f32(x2181))
% 1.18/1.26  [177]~P15(x1771)+~P11(x1771)+E(f6(f53(x1771),a51),x1771)
% 1.18/1.26  [185]~P15(x1851)+E(a51,x1851)+E(f6(f52(x1851),f58(x1851)),x1851)
% 1.18/1.26  [186]~P15(x1861)+E(a51,x1861)+E(f6(f28(x1861),f29(x1861)),x1861)
% 1.18/1.26  [281]P2(x2811)+~P15(x2811)+E(f4(f4(f8(x2811),f6(f5(x2811),f9(x2811))),f6(f7(x2811),f10(x2811))),x2811)
% 1.18/1.26  [282]P16(x2821)+~P15(x2821)+E(f4(f4(f13(x2821),f6(f11(x2821),f14(x2821))),f6(f12(x2821),f15(x2821))),x2821)
% 1.18/1.26  [283]P17(x2831)+~P15(x2831)+E(f4(f4(f19(x2831),f6(f17(x2831),f20(x2831))),f6(f18(x2831),f21(x2831))),x2831)
% 1.18/1.26  [284]P19(x2841)+~P15(x2841)+E(f4(f4(f24(x2841),f6(f22(x2841),f25(x2841))),f6(f23(x2841),f26(x2841))),x2841)
% 1.18/1.26  [285]P18(x2851)+~P15(x2851)+E(f4(f4(f33(x2851),f6(f31(x2851),f34(x2851))),f6(f32(x2851),f35(x2851))),x2851)
% 1.18/1.26  [286]P3(x2861)+~P15(x2861)+E(f4(f4(f37(x2861),f6(f30(x2861),f38(x2861))),f6(f36(x2861),f39(x2861))),x2861)
% 1.18/1.26  [279]P4(x2791)+~P15(x2791)+E(f4(f43(x2791),f6(f40(x2791),f6(f42(x2791),f44(x2791)))),x2791)
% 1.18/1.26  [187]~P1(x1871)+~P15(x1872)+~E(f6(x1871,x1872),a51)
% 1.18/1.26  [188]~P1(x1881)+~P15(x1882)+~E(f6(x1881,x1882),x1882)
% 1.18/1.26  [198]~P1(x1981)+~P15(x1982)+P15(f6(x1981,x1982))
% 1.18/1.26  [199]~P15(x1992)+~P15(x1991)+P15(f4(x1991,x1992))
% 1.18/1.26  [200]~P1(x2001)+~P15(x2002)+E(f52(f6(x2001,x2002)),x2001)
% 1.18/1.26  [201]~P1(x2011)+~P15(x2012)+E(f58(f6(x2011,x2012)),x2012)
% 1.18/1.26  [232]~P1(x2321)+~P15(x2322)+E(f4(f6(x2321,a51),x2322),f6(x2321,x2322))
% 1.18/1.26  [205]~P1(x2051)+~E(f50(x2051),x2051)+~P5(a48,x2051)+P5(a1,x2051)
% 1.18/1.26  [207]~P1(x2071)+P5(a1,x2071)+~P5(a48,x2071)+P1(f50(x2071))
% 1.18/1.26  [221]~P1(x2211)+~P5(a48,x2211)+P5(a1,x2211)+P5(a48,f50(x2211))
% 1.18/1.26  [226]~P1(x2261)+P7(f50(x2261),x2261)+~P5(a48,x2261)+P5(a1,x2261)
% 1.18/1.26  [174]P13(x1741,x1742)+~P1(x1742)+~P1(x1741)+E(x1741,x1742)
% 1.18/1.26  [175]P13(x1751,x1752)+~P15(x1752)+~P15(x1751)+E(x1751,x1752)
% 1.18/1.26  [195]~P1(x1952)+~P1(x1951)+~P13(x1951,x1952)+~E(x1951,x1952)
% 1.18/1.26  [196]~P1(x1962)+~P1(x1961)+~P10(x1961,x1962)+~E(x1961,x1962)
% 1.18/1.26  [197]~P15(x1972)+~P15(x1971)+~P13(x1971,x1972)+~E(x1971,x1972)
% 1.18/1.26  [208]~P1(x2081)+~P1(x2082)+~P8(x2082,x2081)+P7(x2081,x2082)
% 1.18/1.26  [209]~P1(x2092)+~P1(x2091)+~P10(x2091,x2092)+P7(x2091,x2092)
% 1.18/1.26  [210]~P1(x2101)+~P1(x2102)+~P9(x2102,x2101)+P10(x2101,x2102)
% 1.18/1.26  [211]~P1(x2111)+~P1(x2112)+~P7(x2112,x2111)+P8(x2111,x2112)
% 1.18/1.26  [212]~P1(x2121)+~P1(x2122)+~P10(x2122,x2121)+P9(x2121,x2122)
% 1.18/1.26  [222]~P10(x2221,x2222)+~P10(x2222,x2221)+~P1(x2221)+~P1(x2222)
% 1.18/1.26  [223]~P9(x2231,x2232)+~P9(x2232,x2231)+~P1(x2231)+~P1(x2232)
% 1.18/1.26  [191]~P15(x1912)+~P15(x1911)+E(a51,x1911)+~E(f4(x1912,x1911),a51)
% 1.18/1.26  [192]~P15(x1922)+~P15(x1921)+E(a51,x1921)+~E(f4(x1921,x1922),a51)
% 1.18/1.26  [194]~P1(x1942)+~P15(x1941)+P11(x1941)+~E(f6(x1942,a51),x1941)
% 1.18/1.26  [203]~P1(x2031)+~P15(x2032)+~E(a51,x2032)+P19(f6(x2031,x2032))
% 1.18/1.26  [204]~P1(x2041)+~P15(x2042)+~E(a51,x2042)+P18(f6(x2041,x2042))
% 1.18/1.26  [235]~P1(x2352)+~P15(x2351)+~P5(x2351,x2352)+P15(f41(x2351,x2352))
% 1.18/1.26  [236]~P1(x2362)+~P15(x2361)+~P5(x2361,x2362)+P15(f47(x2361,x2362))
% 1.18/1.26  [237]~P15(x2372)+~P15(x2371)+~P6(x2371,x2372)+P15(f54(x2371,x2372))
% 1.18/1.26  [238]~P15(x2382)+~P15(x2381)+~P12(x2381,x2382)+P15(f55(x2381,x2382))
% 1.18/1.26  [239]~P15(x2392)+~P15(x2391)+~P14(x2391,x2392)+P15(f56(x2391,x2392))
% 1.18/1.26  [240]~P15(x2402)+~P15(x2401)+~P14(x2401,x2402)+P15(f57(x2401,x2402))
% 1.18/1.26  [206]~P15(x2062)+~P15(x2061)+E(a51,x2061)+E(f52(f4(x2061,x2062)),f52(x2061))
% 1.18/1.26  [234]~P15(x2342)+~P15(x2341)+E(a51,x2341)+E(f58(f4(x2341,x2342)),f4(f58(x2341),x2342))
% 1.18/1.26  [247]~P15(x2472)+~P15(x2471)+~P6(x2472,x2471)+E(f4(x2471,f54(x2472,x2471)),x2472)
% 1.18/1.26  [248]~P15(x2482)+~P15(x2481)+~P12(x2481,x2482)+E(f4(f55(x2481,x2482),x2482),x2481)
% 1.18/1.26  [278]~P15(x2782)+~P15(x2781)+~P14(x2781,x2782)+E(f4(f4(f56(x2781,x2782),x2782),f57(x2781,x2782)),x2781)
% 1.18/1.26  [277]~P1(x2772)+~P15(x2771)+~P5(x2771,x2772)+E(f4(f41(x2771,x2772),f6(x2772,f47(x2771,x2772))),x2771)
% 1.18/1.26  [267]~P1(x2671)+~P15(x2672)+~P15(x2673)+E(f6(x2671,f4(x2672,x2673)),f4(f6(x2671,x2672),x2673))
% 1.18/1.26  [268]~P15(x2683)+~P15(x2682)+~P15(x2681)+E(f4(f4(x2681,x2682),x2683),f4(x2681,f4(x2682,x2683)))
% 1.18/1.26  [220]P10(x2201,x2202)+~P1(x2202)+~P1(x2201)+~P7(x2201,x2202)+E(x2201,x2202)
% 1.18/1.26  [227]~P1(x2272)+~P1(x2271)+~P7(x2272,x2271)+~P7(x2271,x2272)+E(x2271,x2272)
% 1.18/1.26  [228]~P1(x2282)+~P1(x2281)+~P8(x2282,x2281)+~P8(x2281,x2282)+E(x2281,x2282)
% 1.18/1.26  [229]~P15(x2292)+~P15(x2291)+~P6(x2292,x2291)+~P6(x2291,x2292)+E(x2291,x2292)
% 1.18/1.26  [230]~P15(x2302)+~P15(x2301)+~P12(x2302,x2301)+~P12(x2301,x2302)+E(x2301,x2302)
% 1.18/1.26  [231]~P15(x2312)+~P15(x2311)+~P14(x2312,x2311)+~P14(x2311,x2312)+E(x2311,x2312)
% 1.18/1.26  [176]~P15(x1761)+~P15(x1762)+~E(a51,x1761)+~E(a51,x1762)+E(f4(x1761,x1762),a51)
% 1.18/1.26  [243]P19(x2431)+~P15(x2431)+~P1(x2432)+E(a51,x2431)+~P19(f6(x2432,x2431))
% 1.18/1.26  [244]P18(x2441)+~P15(x2441)+~P1(x2442)+E(a51,x2441)+~P18(f6(x2442,x2441))
% 1.18/1.26  [258]~P1(x2582)+~P15(x2581)+E(a51,x2581)+P7(x2582,f52(x2581))+~P19(f6(x2582,x2581))
% 1.18/1.26  [259]~P1(x2592)+~P15(x2591)+E(a51,x2591)+P10(x2592,f52(x2591))+~P18(f6(x2592,x2591))
% 1.18/1.26  [224]~P15(x2241)+~P15(x2242)+~P15(x2243)+P6(x2241,x2242)+~E(f4(x2242,x2243),x2241)
% 1.18/1.26  [225]~P15(x2251)+~P15(x2252)+~P15(x2253)+P12(x2251,x2252)+~E(f4(x2253,x2252),x2251)
% 1.18/1.26  [233]~E(x2333,x2331)+~P1(x2331)+~P1(x2333)+~P15(x2332)+P5(f6(x2331,x2332),x2333)
% 1.18/1.26  [241]~P15(x2412)+~P15(x2413)+~P15(x2411)+E(x2411,x2412)+~E(f4(x2413,x2411),f4(x2413,x2412))
% 1.18/1.26  [242]~P15(x2422)+~P15(x2423)+~P15(x2421)+E(x2421,x2422)+~E(f4(x2421,x2423),f4(x2422,x2423))
% 1.18/1.26  [260]~P1(x2601)+~P1(x2603)+~P15(x2602)+~P5(x2602,x2603)+P5(f6(x2601,x2602),x2603)
% 1.18/1.26  [261]~P1(x2613)+~P15(x2611)+~P15(x2612)+~P5(x2612,x2613)+P5(f4(x2611,x2612),x2613)
% 1.18/1.26  [262]~P1(x2623)+~P15(x2622)+~P15(x2621)+~P5(x2621,x2623)+P5(f4(x2621,x2622),x2623)
% 1.18/1.26  [263]~P15(x2632)+~P15(x2633)+~P15(x2631)+~P6(x2631,x2633)+P6(f4(x2631,x2632),x2633)
% 1.18/1.26  [264]~P15(x2641)+~P15(x2643)+~P15(x2642)+~P12(x2642,x2643)+P12(f4(x2641,x2642),x2643)
% 1.18/1.26  [249]~P1(x2492)+~P1(x2491)+~P7(x2491,x2492)+E(x2491,x2492)+~P5(a1,x2492)+~P5(a48,x2491)
% 1.18/1.26  [265]~P1(x2652)+~P15(x2651)+~P19(x2651)+~P7(x2652,f52(x2651))+E(a51,x2651)+P19(f6(x2652,x2651))
% 1.18/1.26  [266]~P1(x2662)+~P15(x2661)+~P18(x2661)+~P10(x2662,f52(x2661))+E(a51,x2661)+P18(f6(x2662,x2661))
% 1.18/1.26  [250]~P15(x2502)+~P15(x2501)+~P6(x2503,x2502)+~P6(x2501,x2503)+P6(x2501,x2502)+~P15(x2503)
% 1.18/1.26  [251]~P15(x2512)+~P15(x2511)+~P12(x2513,x2512)+~P12(x2511,x2513)+P12(x2511,x2512)+~P15(x2513)
% 1.18/1.26  [252]~P15(x2522)+~P15(x2521)+~P14(x2523,x2522)+~P14(x2521,x2523)+P14(x2521,x2522)+~P15(x2523)
% 1.18/1.26  [253]~P1(x2532)+~P1(x2531)+~P7(x2533,x2532)+~P7(x2531,x2533)+P7(x2531,x2532)+~P1(x2533)
% 1.18/1.26  [254]~P1(x2542)+~P1(x2541)+~P7(x2541,x2543)+~P10(x2543,x2542)+P10(x2541,x2542)+~P1(x2543)
% 1.18/1.26  [255]~P1(x2552)+~P1(x2551)+~P10(x2553,x2552)+~P10(x2551,x2553)+P10(x2551,x2552)+~P1(x2553)
% 1.18/1.26  [256]~P1(x2562)+~P1(x2561)+~P8(x2563,x2562)+~P8(x2561,x2563)+P8(x2561,x2562)+~P1(x2563)
% 1.18/1.26  [257]~P1(x2572)+~P1(x2571)+~P9(x2573,x2572)+~P9(x2571,x2573)+P9(x2571,x2572)+~P1(x2573)
% 1.18/1.26  [269]~P1(x2692)+~P1(x2691)+~P15(x2693)+E(x2691,x2692)+P5(x2693,x2692)+~P5(f6(x2691,x2693),x2692)
% 1.18/1.26  [272]~P1(x2722)+~P15(x2721)+~P15(x2723)+P5(x2721,x2722)+P5(x2723,x2722)+~P5(f4(x2723,x2721),x2722)
% 1.18/1.26  [245]~P1(x2454)+~P1(x2453)+~P15(x2452)+~P15(x2451)+E(x2451,x2452)+~E(f6(x2453,x2452),f6(x2454,x2451))
% 1.18/1.26  [246]~P1(x2462)+~P1(x2461)+~P15(x2464)+~P15(x2463)+E(x2461,x2462)+~E(f6(x2461,x2463),f6(x2462,x2464))
% 1.18/1.26  [274]~P1(x2742)+~P1(x2741)+E(x2741,x2742)+~P15(x2743)+~P15(x2744)+~P6(f6(x2741,x2744),f6(x2742,x2743))
% 1.18/1.26  [276]~P15(x2762)+~P15(x2761)+P6(x2761,x2762)+~P1(x2763)+~P1(x2764)+~P6(f6(x2764,x2761),f6(x2763,x2762))
% 1.18/1.26  [270]~P1(x2702)+~P15(x2701)+~P15(x2704)+~P15(x2703)+P5(x2701,x2702)+~E(f4(x2703,f6(x2702,x2704)),x2701)
% 1.18/1.26  [271]~P15(x2711)+~P15(x2712)+~P15(x2714)+~P15(x2713)+P14(x2711,x2712)+~E(f4(f4(x2713,x2712),x2714),x2711)
% 1.18/1.26  [275]~P15(x2753)+~P15(x2751)+~P15(x2754)+~P15(x2752)+~P14(x2752,x2754)+P14(f4(f4(x2751,x2752),x2753),x2754)
% 1.18/1.26  [202]~P15(x2022)+~P15(x2021)+E(x2021,x2022)+E(a51,x2022)+E(a51,x2021)+~E(f52(x2021),f52(x2022))+~E(f58(x2021),f58(x2022))
% 1.18/1.26  [273]~E(x2731,x2733)+~P1(x2733)+~P1(x2731)+~P15(x2734)+~P15(x2732)+~P6(x2732,x2734)+P6(f6(x2731,x2732),f6(x2733,x2734))
% 1.18/1.26  [280]~P1(x2802)+~P1(x2801)+~P15(x2804)+~P15(x2803)+~P15(x2805)+~P4(x2805)+E(x2801,x2802)+~E(f4(x2803,f6(x2801,f6(x2802,x2804))),x2805)
% 1.18/1.26  [287]~P1(x2872)+~P1(x2871)+~P15(x2875)+~P15(x2874)+~P15(x2873)+~P15(x2876)+~P3(x2876)+~E(x2871,x2872)+~E(f4(f4(x2873,f6(x2871,x2874)),f6(x2872,x2875)),x2876)
% 1.18/1.26  [288]~P1(x2882)+~P1(x2881)+~P15(x2885)+~P15(x2884)+~P15(x2883)+~P15(x2886)+~P19(x2886)+P7(x2881,x2882)+~E(f4(f4(x2883,f6(x2881,x2884)),f6(x2882,x2885)),x2886)
% 1.18/1.26  [289]~P1(x2892)+~P1(x2891)+~P15(x2895)+~P15(x2894)+~P15(x2893)+~P15(x2896)+~P18(x2896)+P10(x2891,x2892)+~E(f4(f4(x2893,f6(x2891,x2894)),f6(x2892,x2895)),x2896)
% 1.18/1.26  [290]P7(x2902,x2901)+~P1(x2901)+~P1(x2902)+~P15(x2905)+~P15(x2904)+~P15(x2903)+~P15(x2906)+~P16(x2906)+P7(x2901,x2902)+~E(f4(f4(x2903,f6(x2902,x2904)),f6(x2901,x2905)),x2906)
% 1.18/1.26  [291]P10(x2912,x2911)+~P1(x2911)+~P1(x2912)+~P15(x2915)+~P15(x2914)+~P15(x2913)+~P15(x2916)+~P17(x2916)+P10(x2911,x2912)+~E(f4(f4(x2913,f6(x2912,x2914)),f6(x2911,x2915)),x2916)
% 1.18/1.26  [292]~P1(x2924)+~P1(x2922)+~P15(x2925)+~P15(x2923)+~P15(x2921)+~P15(x2926)+~P2(x2926)+~P7(x2924,x2922)+~P7(x2922,x2924)+~E(f4(f4(x2921,f6(x2922,x2923)),f6(x2924,x2925)),x2926)
% 1.18/1.26  %EqnAxiom
% 1.18/1.26  [1]E(x11,x11)
% 1.18/1.26  [2]E(x22,x21)+~E(x21,x22)
% 1.18/1.26  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.18/1.26  [4]~E(x41,x42)+E(f52(x41),f52(x42))
% 1.18/1.26  [5]~E(x51,x52)+E(f27(x51),f27(x52))
% 1.18/1.26  [6]~E(x61,x62)+E(f58(x61),f58(x62))
% 1.18/1.26  [7]~E(x71,x72)+E(f45(x71),f45(x72))
% 1.18/1.26  [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 1.18/1.26  [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 1.18/1.26  [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 1.18/1.26  [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 1.18/1.26  [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 1.18/1.26  [13]~E(x131,x132)+E(f44(x131),f44(x132))
% 1.18/1.26  [14]~E(x141,x142)+E(f29(x141),f29(x142))
% 1.18/1.26  [15]~E(x151,x152)+E(f42(x151),f42(x152))
% 1.18/1.26  [16]~E(x161,x162)+E(f30(x161),f30(x162))
% 1.18/1.26  [17]~E(x171,x172)+E(f36(x171),f36(x172))
% 1.18/1.26  [18]~E(x181,x182)+E(f40(x181),f40(x182))
% 1.18/1.26  [19]~E(x191,x192)+E(f43(x191),f43(x192))
% 1.18/1.26  [20]~E(x201,x202)+E(f5(x201),f5(x202))
% 1.18/1.26  [21]~E(x211,x212)+E(f7(x211),f7(x212))
% 1.18/1.26  [22]~E(x221,x222)+E(f8(x221),f8(x222))
% 1.18/1.26  [23]~E(x231,x232)+E(f9(x231),f9(x232))
% 1.18/1.26  [24]~E(x241,x242)+E(f10(x241),f10(x242))
% 1.18/1.26  [25]~E(x251,x252)+E(f11(x251),f11(x252))
% 1.18/1.26  [26]~E(x261,x262)+E(f12(x261),f12(x262))
% 1.18/1.26  [27]~E(x271,x272)+E(f13(x271),f13(x272))
% 1.18/1.26  [28]~E(x281,x282)+E(f14(x281),f14(x282))
% 1.18/1.26  [29]~E(x291,x292)+E(f15(x291),f15(x292))
% 1.18/1.26  [30]~E(x301,x302)+E(f17(x301),f17(x302))
% 1.18/1.26  [31]~E(x311,x312)+E(f18(x311),f18(x312))
% 1.18/1.26  [32]~E(x321,x322)+E(f19(x321),f19(x322))
% 1.18/1.26  [33]~E(x331,x332)+E(f20(x331),f20(x332))
% 1.18/1.26  [34]~E(x341,x342)+E(f21(x341),f21(x342))
% 1.18/1.26  [35]~E(x351,x352)+E(f22(x351),f22(x352))
% 1.18/1.26  [36]~E(x361,x362)+E(f23(x361),f23(x362))
% 1.18/1.26  [37]~E(x371,x372)+E(f24(x371),f24(x372))
% 1.18/1.26  [38]~E(x381,x382)+E(f25(x381),f25(x382))
% 1.18/1.26  [39]~E(x391,x392)+E(f26(x391),f26(x392))
% 1.18/1.26  [40]~E(x401,x402)+E(f31(x401),f31(x402))
% 1.18/1.26  [41]~E(x411,x412)+E(f32(x411),f32(x412))
% 1.18/1.26  [42]~E(x421,x422)+E(f33(x421),f33(x422))
% 1.18/1.26  [43]~E(x431,x432)+E(f34(x431),f34(x432))
% 1.18/1.26  [44]~E(x441,x442)+E(f35(x441),f35(x442))
% 1.18/1.26  [45]~E(x451,x452)+E(f38(x451),f38(x452))
% 1.18/1.26  [46]~E(x461,x462)+E(f50(x461),f50(x462))
% 1.18/1.26  [47]~E(x471,x472)+E(f37(x471),f37(x472))
% 1.18/1.26  [48]~E(x481,x482)+E(f56(x481,x483),f56(x482,x483))
% 1.18/1.26  [49]~E(x491,x492)+E(f56(x493,x491),f56(x493,x492))
% 1.18/1.26  [50]~E(x501,x502)+E(f39(x501),f39(x502))
% 1.18/1.26  [51]~E(x511,x512)+E(f57(x511,x513),f57(x512,x513))
% 1.18/1.26  [52]~E(x521,x522)+E(f57(x523,x521),f57(x523,x522))
% 1.18/1.26  [53]~E(x531,x532)+E(f41(x531,x533),f41(x532,x533))
% 1.18/1.26  [54]~E(x541,x542)+E(f41(x543,x541),f41(x543,x542))
% 1.18/1.26  [55]~E(x551,x552)+E(f54(x551,x553),f54(x552,x553))
% 1.18/1.26  [56]~E(x561,x562)+E(f54(x563,x561),f54(x563,x562))
% 1.18/1.26  [57]~E(x571,x572)+E(f55(x571,x573),f55(x572,x573))
% 1.18/1.26  [58]~E(x581,x582)+E(f55(x583,x581),f55(x583,x582))
% 1.18/1.26  [59]~E(x591,x592)+E(f47(x591,x593),f47(x592,x593))
% 1.18/1.26  [60]~E(x601,x602)+E(f47(x603,x601),f47(x603,x602))
% 1.18/1.26  [61]~E(x611,x612)+E(f53(x611),f53(x612))
% 1.18/1.26  [62]~P1(x621)+P1(x622)+~E(x621,x622)
% 1.18/1.26  [63]P7(x632,x633)+~E(x631,x632)+~P7(x631,x633)
% 1.18/1.26  [64]P7(x643,x642)+~E(x641,x642)+~P7(x643,x641)
% 1.18/1.26  [65]~P19(x651)+P19(x652)+~E(x651,x652)
% 1.18/1.26  [66]~P15(x661)+P15(x662)+~E(x661,x662)
% 1.18/1.26  [67]P8(x672,x673)+~E(x671,x672)+~P8(x671,x673)
% 1.18/1.26  [68]P8(x683,x682)+~E(x681,x682)+~P8(x683,x681)
% 1.18/1.26  [69]~P4(x691)+P4(x692)+~E(x691,x692)
% 1.18/1.26  [70]~P3(x701)+P3(x702)+~E(x701,x702)
% 1.18/1.26  [71]P10(x712,x713)+~E(x711,x712)+~P10(x711,x713)
% 1.18/1.26  [72]P10(x723,x722)+~E(x721,x722)+~P10(x723,x721)
% 1.18/1.26  [73]~P2(x731)+P2(x732)+~E(x731,x732)
% 1.18/1.26  [74]~P16(x741)+P16(x742)+~E(x741,x742)
% 1.18/1.26  [75]~P17(x751)+P17(x752)+~E(x751,x752)
% 1.18/1.26  [76]P5(x762,x763)+~E(x761,x762)+~P5(x761,x763)
% 1.18/1.26  [77]P5(x773,x772)+~E(x771,x772)+~P5(x773,x771)
% 1.18/1.26  [78]~P18(x781)+P18(x782)+~E(x781,x782)
% 1.18/1.26  [79]P6(x792,x793)+~E(x791,x792)+~P6(x791,x793)
% 1.18/1.26  [80]P6(x803,x802)+~E(x801,x802)+~P6(x803,x801)
% 1.18/1.26  [81]P14(x812,x813)+~E(x811,x812)+~P14(x811,x813)
% 1.18/1.26  [82]P14(x823,x822)+~E(x821,x822)+~P14(x823,x821)
% 1.18/1.26  [83]P12(x832,x833)+~E(x831,x832)+~P12(x831,x833)
% 1.18/1.26  [84]P12(x843,x842)+~E(x841,x842)+~P12(x843,x841)
% 1.18/1.26  [85]~P11(x851)+P11(x852)+~E(x851,x852)
% 1.18/1.26  [86]P9(x862,x863)+~E(x861,x862)+~P9(x861,x863)
% 1.18/1.26  [87]P9(x873,x872)+~E(x871,x872)+~P9(x873,x871)
% 1.18/1.26  [88]P13(x882,x883)+~E(x881,x882)+~P13(x881,x883)
% 1.18/1.26  [89]P13(x893,x892)+~E(x891,x892)+~P13(x893,x891)
% 1.18/1.26  
% 1.18/1.26  %-------------------------------------------
% 1.18/1.27  cnf(293,plain,
% 1.18/1.27     (E(a2,a1)),
% 1.18/1.27     inference(scs_inference,[],[90,2])).
% 1.18/1.27  cnf(297,plain,
% 1.18/1.27     (~P5(a51,a49)),
% 1.18/1.27     inference(scs_inference,[],[90,94,107,110,2,173,76,169])).
% 1.18/1.27  cnf(301,plain,
% 1.18/1.27     (P7(a49,a49)),
% 1.18/1.27     inference(scs_inference,[],[90,94,107,110,2,173,76,169,129,128])).
% 1.18/1.27  cnf(303,plain,
% 1.18/1.27     (P14(a2,a2)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,107,110,2,173,76,169,129,128,127])).
% 1.18/1.27  cnf(305,plain,
% 1.18/1.27     (P12(a2,a2)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,107,110,2,173,76,169,129,128,127,126])).
% 1.18/1.27  cnf(307,plain,
% 1.18/1.27     (P6(a2,a2)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,107,110,2,173,76,169,129,128,127,126,125])).
% 1.18/1.27  cnf(309,plain,
% 1.18/1.27     (P14(a2,a51)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,107,110,2,173,76,169,129,128,127,126,125,121])).
% 1.18/1.27  cnf(311,plain,
% 1.18/1.27     (P12(a2,a51)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,107,110,2,173,76,169,129,128,127,126,125,121,120])).
% 1.18/1.27  cnf(313,plain,
% 1.18/1.27     (P6(a2,a51)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,107,110,2,173,76,169,129,128,127,126,125,121,120,119])).
% 1.18/1.27  cnf(342,plain,
% 1.18/1.27     (E(f57(x3421,a1),f57(x3421,a2))),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,107,110,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52])).
% 1.18/1.27  cnf(382,plain,
% 1.18/1.27     (E(f6(x3821,a1),f6(x3821,a2))),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,107,110,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12])).
% 1.18/1.27  cnf(385,plain,
% 1.18/1.27     (E(f4(x3851,a1),f4(x3851,a2))),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,107,110,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9])).
% 1.18/1.27  cnf(386,plain,
% 1.18/1.27     (E(f4(a1,x3861),f4(a2,x3861))),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,107,110,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8])).
% 1.18/1.27  cnf(395,plain,
% 1.18/1.27     (E(f52(f6(a49,a2)),a49)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,107,110,104,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,201,200])).
% 1.18/1.27  cnf(397,plain,
% 1.18/1.27     (P15(f4(a2,a2))),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,107,110,104,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,201,200,199])).
% 1.18/1.27  cnf(399,plain,
% 1.18/1.27     (P15(f6(a49,a2))),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,107,110,104,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,201,200,199,198])).
% 1.18/1.27  cnf(401,plain,
% 1.18/1.27     (~E(f6(a49,a2),a2)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,107,110,104,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,201,200,199,198,188])).
% 1.18/1.27  cnf(403,plain,
% 1.18/1.27     (~E(f6(a49,a2),a51)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,107,110,104,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,201,200,199,198,188,187])).
% 1.18/1.27  cnf(407,plain,
% 1.18/1.27     (~P9(a49,a49)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,107,110,104,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,201,200,199,198,188,187,232,223])).
% 1.18/1.27  cnf(409,plain,
% 1.18/1.27     (~P10(a3,a3)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,107,110,92,104,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,201,200,199,198,188,187,232,223,222])).
% 1.18/1.27  cnf(413,plain,
% 1.18/1.27     (~P13(a1,a2)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,98,107,110,92,104,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,201,200,199,198,188,187,232,223,222,210,197])).
% 1.18/1.27  cnf(415,plain,
% 1.18/1.27     (P13(a2,a46)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,97,98,107,110,92,104,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,201,200,199,198,188,187,232,223,222,210,197,175])).
% 1.18/1.27  cnf(427,plain,
% 1.18/1.27     (P15(f54(a2,a2))),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,97,98,107,110,92,93,95,104,108,109,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,201,200,199,198,188,187,232,223,222,210,197,175,174,194,240,239,238,237])).
% 1.18/1.27  cnf(437,plain,
% 1.18/1.27     (E(f4(f55(a2,a2),a2),a2)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,97,98,107,110,92,93,95,104,108,109,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,201,200,199,198,188,187,232,223,222,210,197,175,174,194,240,239,238,237,236,235,268,267,248])).
% 1.18/1.27  cnf(439,plain,
% 1.18/1.27     (E(f4(a2,f54(a2,a2)),a2)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,97,98,107,110,92,93,95,104,108,109,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,201,200,199,198,188,187,232,223,222,210,197,175,174,194,240,239,238,237,236,235,268,267,248,247])).
% 1.18/1.27  cnf(441,plain,
% 1.18/1.27     (E(f4(f4(f56(a2,a2),a2),f57(a2,a2)),a2)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,97,98,107,110,92,93,95,104,108,109,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,201,200,199,198,188,187,232,223,222,210,197,175,174,194,240,239,238,237,236,235,268,267,248,247,278])).
% 1.18/1.27  cnf(445,plain,
% 1.18/1.27     (P12(f4(a2,a2),a2)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,97,98,107,110,92,93,95,104,108,109,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,201,200,199,198,188,187,232,223,222,210,197,175,174,194,240,239,238,237,236,235,268,267,248,247,278,277,264])).
% 1.18/1.27  cnf(447,plain,
% 1.18/1.27     (P6(f4(a2,a2),a2)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,97,98,107,110,92,93,95,104,108,109,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,201,200,199,198,188,187,232,223,222,210,197,175,174,194,240,239,238,237,236,235,268,267,248,247,278,277,264,263])).
% 1.18/1.27  cnf(449,plain,
% 1.18/1.27     (P5(f4(a2,a2),a49)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,97,98,107,110,92,93,95,104,108,109,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,201,200,199,198,188,187,232,223,222,210,197,175,174,194,240,239,238,237,236,235,268,267,248,247,278,277,264,263,262])).
% 1.18/1.27  cnf(461,plain,
% 1.18/1.27     (~P5(f4(a46,a46),a49)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,97,98,107,110,92,93,95,104,108,109,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,201,200,199,198,188,187,232,223,222,210,197,175,174,194,240,239,238,237,236,235,268,267,248,247,278,277,264,263,262,261,260,242,241,275,272])).
% 1.18/1.27  cnf(465,plain,
% 1.18/1.27     (~P6(f6(a16,a2),f6(a3,a2))),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,97,98,107,110,92,93,95,104,108,109,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,201,200,199,198,188,187,232,223,222,210,197,175,174,194,240,239,238,237,236,235,268,267,248,247,278,277,264,263,262,261,260,242,241,275,272,270,274])).
% 1.18/1.27  cnf(469,plain,
% 1.18/1.27     (~E(f6(a49,a46),f6(a49,a2))),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,97,98,107,110,92,93,95,104,108,109,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,201,200,199,198,188,187,232,223,222,210,197,175,174,194,240,239,238,237,236,235,268,267,248,247,278,277,264,263,262,261,260,242,241,275,272,270,274,246,245])).
% 1.18/1.27  cnf(473,plain,
% 1.18/1.27     (~E(f4(f4(a2,f6(a49,a2)),f6(a49,a2)),a51)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,97,98,107,110,92,93,95,104,106,108,109,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,201,200,199,198,188,187,232,223,222,210,197,175,174,194,240,239,238,237,236,235,268,267,248,247,278,277,264,263,262,261,260,242,241,275,272,270,274,246,245,280,289])).
% 1.18/1.27  cnf(478,plain,
% 1.18/1.27     (~P13(a1,x4781)+P13(a2,x4781)),
% 1.18/1.27     inference(scs_inference,[],[90,94,96,97,98,107,110,92,93,95,102,104,106,108,109,2,173,76,169,129,128,127,126,125,121,120,119,184,183,182,181,180,179,178,124,123,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,3,201,200,199,198,188,187,232,223,222,210,197,175,174,194,240,239,238,237,236,235,268,267,248,247,278,277,264,263,262,261,260,242,241,275,272,270,274,246,245,280,289,291,89,88])).
% 1.18/1.27  cnf(502,plain,
% 1.18/1.27     (P12(a1,a2)),
% 1.18/1.27     inference(scs_inference,[],[99,93,95,399,305,403,293,201,200,199,175,83])).
% 1.18/1.27  cnf(503,plain,
% 1.18/1.27     (P6(a1,a2)),
% 1.18/1.27     inference(scs_inference,[],[99,93,95,399,305,307,403,293,201,200,199,175,83,79])).
% 1.18/1.27  cnf(505,plain,
% 1.18/1.27     (P15(f6(a16,a48))),
% 1.18/1.27     inference(scs_inference,[],[99,93,95,107,399,305,307,403,461,293,201,200,199,175,83,79,76,198])).
% 1.18/1.27  cnf(507,plain,
% 1.18/1.27     (~E(f6(a16,a48),a48)),
% 1.18/1.27     inference(scs_inference,[],[99,93,95,107,399,305,307,403,461,293,201,200,199,175,83,79,76,198,188])).
% 1.18/1.27  cnf(519,plain,
% 1.18/1.27     (~E(a3,a16)),
% 1.18/1.27     inference(scs_inference,[],[99,102,93,95,108,107,92,399,305,307,403,461,293,409,201,200,199,175,83,79,76,198,188,187,232,268,267,291,2])).
% 1.18/1.27  cnf(521,plain,
% 1.18/1.27     (P13(a2,a48)),
% 1.18/1.27     inference(scs_inference,[],[99,102,91,93,95,108,107,92,399,469,305,307,403,461,293,409,415,201,200,199,175,83,79,76,198,188,187,232,268,267,291,2,12,89])).
% 1.18/1.27  cnf(548,plain,
% 1.18/1.27     (P15(f57(a1,a1))),
% 1.18/1.27     inference(scs_inference,[],[99,102,98,109,91,93,95,108,107,92,96,399,469,303,305,307,407,403,395,461,293,409,415,201,200,199,175,83,79,76,198,188,187,232,268,267,291,2,12,89,88,84,82,81,80,3,75,252,251,250,194,238,237,278,263,275,86,240])).
% 1.18/1.27  cnf(590,plain,
% 1.18/1.27     (P6(f4(a1,a1),a2)),
% 1.18/1.27     inference(scs_inference,[],[92,93,98,99,96,342,385,548,397,503,519,521,225,66,197,174,263])).
% 1.18/1.27  cnf(599,plain,
% 1.18/1.27     (~P13(a2,a2)),
% 1.18/1.27     inference(scs_inference,[],[97,293,92,93,98,99,96,342,385,548,441,397,413,502,503,519,521,225,66,197,174,263,268,267,264,89,88])).
% 1.18/1.27  cnf(601,plain,
% 1.18/1.27     (E(f6(x6011,a1),f6(x6011,a2))),
% 1.18/1.27     inference(rename_variables,[],[382])).
% 1.18/1.27  cnf(602,plain,
% 1.18/1.27     (~P6(f6(a16,a1),f6(a3,a2))),
% 1.18/1.27     inference(scs_inference,[],[97,293,92,93,98,99,96,342,382,601,385,548,441,397,465,413,502,503,519,521,225,66,197,174,263,268,267,264,89,88,80,79])).
% 1.18/1.27  cnf(605,plain,
% 1.18/1.27     (P5(a1,a49)),
% 1.18/1.27     inference(scs_inference,[],[91,97,107,293,92,93,98,99,96,342,382,601,385,548,441,397,465,507,413,502,503,519,521,225,66,197,174,263,268,267,264,89,88,80,79,3,76])).
% 1.18/1.27  cnf(606,plain,
% 1.18/1.27     (E(a48,a46)),
% 1.18/1.27     inference(scs_inference,[],[91,97,107,293,92,93,98,99,96,342,382,601,385,548,441,397,465,507,413,502,503,519,521,225,66,197,174,263,268,267,264,89,88,80,79,3,76,2])).
% 1.18/1.27  cnf(609,plain,
% 1.18/1.27     (P5(a48,a49)),
% 1.18/1.27     inference(scs_inference,[],[91,101,97,107,293,92,93,98,99,94,96,342,382,601,385,548,441,397,465,507,413,502,503,519,521,225,66,197,174,263,268,267,264,89,88,80,79,3,76,2,12,74,193])).
% 1.18/1.27  cnf(638,plain,
% 1.18/1.27     (~P10(a16,a16)),
% 1.18/1.27     inference(scs_inference,[],[91,101,106,109,108,97,95,107,293,92,93,98,99,94,96,505,342,382,601,385,386,548,441,397,465,507,297,309,311,313,413,502,503,519,521,225,66,197,174,263,268,267,264,89,88,80,79,3,76,2,12,74,193,224,272,280,237,278,175,194,239,238,248,247,240,209,196])).
% 1.18/1.27  cnf(657,plain,
% 1.18/1.27     (P12(a2,f54(a2,a2))),
% 1.18/1.27     inference(scs_inference,[],[100,95,94,96,439,427,301,292,225])).
% 1.18/1.27  cnf(676,plain,
% 1.18/1.27     (P6(f4(f4(a2,a2),a46),a2)),
% 1.18/1.27     inference(scs_inference,[],[100,104,110,293,97,95,93,94,96,447,473,449,602,437,439,427,638,401,590,599,301,382,385,521,397,292,225,289,210,88,76,89,80,79,3,2,73,478,270,263])).
% 1.18/1.27  cnf(712,plain,
% 1.18/1.27     ($false),
% 1.18/1.27     inference(scs_inference,[],[94,110,293,95,98,99,96,605,606,657,676,609,445,427,297,397,262,251,260,261,270,80,76]),
% 1.18/1.27     ['proof']).
% 1.18/1.27  % SZS output end Proof
% 1.18/1.27  % Total time :0.540000s
%------------------------------------------------------------------------------