TSTP Solution File: SWC041+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SWC041+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 : n031.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 20:16:44 EDT 2023

% Result   : Theorem 1.25s 1.43s
% Output   : CNFRefutation 1.25s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWC041+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n031.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 17:41:10 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.56  start to proof:theBenchmark
% 1.25/1.42  %-------------------------------------------
% 1.25/1.42  % File        :CSE---1.6
% 1.25/1.42  % Problem     :theBenchmark
% 1.25/1.42  % Transform   :cnf
% 1.25/1.42  % Format      :tptp:raw
% 1.25/1.42  % Command     :java -jar mcs_scs.jar %d %s
% 1.25/1.42  
% 1.25/1.42  % Result      :Theorem 0.730000s
% 1.25/1.42  % Output      :CNFRefutation 0.730000s
% 1.25/1.42  %-------------------------------------------
% 1.25/1.42  %--------------------------------------------------------------------------
% 1.25/1.42  % File     : SWC041+1 : TPTP v8.1.2. Released v2.4.0.
% 1.25/1.42  % Domain   : Software Creation
% 1.25/1.42  % Problem  : cond_id_nil_x_run_eq_front2
% 1.25/1.42  % Version  : [Wei00] axioms.
% 1.25/1.42  % English  : Find components in a software library that match a given target
% 1.25/1.42  %            specification given in first-order logic. The components are
% 1.25/1.42  %            specified in first-order logic as well. The problem represents
% 1.25/1.42  %            a test of one library module specification against a target
% 1.25/1.42  %            specification.
% 1.25/1.42  
% 1.25/1.42  % Refs     : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 1.25/1.42  %          : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 1.25/1.42  % Source   : [Wei00]
% 1.25/1.42  % Names    : cond_id_nil_x_run_eq_front2 [Wei00]
% 1.25/1.42  
% 1.25/1.42  % Status   : Theorem
% 1.25/1.42  % Rating   : 0.22 v8.1.0, 0.25 v7.5.0, 0.28 v7.4.0, 0.17 v7.3.0, 0.24 v7.1.0, 0.22 v7.0.0, 0.17 v6.4.0, 0.23 v6.3.0, 0.25 v6.2.0, 0.36 v6.1.0, 0.37 v6.0.0, 0.26 v5.5.0, 0.33 v5.4.0, 0.39 v5.3.0, 0.48 v5.2.0, 0.35 v5.1.0, 0.33 v5.0.0, 0.29 v4.1.0, 0.35 v4.0.1, 0.39 v4.0.0, 0.38 v3.7.0, 0.35 v3.5.0, 0.32 v3.4.0, 0.37 v3.3.0, 0.21 v3.2.0, 0.09 v3.1.0, 0.22 v2.7.0, 0.33 v2.5.0, 0.17 v2.4.0
% 1.25/1.42  % Syntax   : Number of formulae    :   96 (   9 unt;   0 def)
% 1.25/1.42  %            Number of atoms       :  412 (  80 equ)
% 1.25/1.42  %            Maximal formula atoms :   18 (   4 avg)
% 1.25/1.42  %            Number of connectives :  346 (  30   ~;  15   |;  43   &)
% 1.25/1.42  %                                         (  26 <=>; 232  =>;   0  <=;   0 <~>)
% 1.25/1.42  %            Maximal formula depth :   25 (   7 avg)
% 1.25/1.42  %            Maximal term depth    :    4 (   1 avg)
% 1.25/1.42  %            Number of predicates  :   20 (  19 usr;   0 prp; 1-2 aty)
% 1.25/1.42  %            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
% 1.25/1.42  %            Number of variables   :  211 ( 195   !;  16   ?)
% 1.25/1.43  % SPC      : FOF_THM_RFO_SEQ
% 1.25/1.43  
% 1.25/1.43  % Comments :
% 1.25/1.43  %--------------------------------------------------------------------------
% 1.25/1.43  %----Include list specification axioms
% 1.25/1.43  include('Axioms/SWC001+0.ax').
% 1.25/1.43  %--------------------------------------------------------------------------
% 1.25/1.43  fof(co1,conjecture,
% 1.25/1.43      ! [U] :
% 1.25/1.43        ( ssList(U)
% 1.25/1.43       => ! [V] :
% 1.25/1.43            ( ssList(V)
% 1.25/1.43           => ! [W] :
% 1.25/1.43                ( ssList(W)
% 1.25/1.43               => ! [X] :
% 1.25/1.43                    ( ssList(X)
% 1.25/1.43                   => ( nil != V
% 1.25/1.43                      | V != X
% 1.25/1.43                      | U != W
% 1.25/1.43                      | nil = U
% 1.25/1.43                      | ! [Y] :
% 1.25/1.43                          ( ssList(Y)
% 1.25/1.43                         => ( app(W,Y) != X
% 1.25/1.43                            | ~ equalelemsP(W)
% 1.25/1.43                            | ? [Z] :
% 1.25/1.43                                ( ssItem(Z)
% 1.25/1.43                                & ? [X1] :
% 1.25/1.43                                    ( ssList(X1)
% 1.25/1.43                                    & app(cons(Z,nil),X1) = Y
% 1.25/1.43                                    & ? [X2] :
% 1.25/1.43                                        ( ssList(X2)
% 1.25/1.43                                        & app(X2,cons(Z,nil)) = W ) ) ) ) )
% 1.25/1.43                      | ( nil != X
% 1.25/1.43                        & nil = W ) ) ) ) ) ) ).
% 1.25/1.43  
% 1.25/1.43  %--------------------------------------------------------------------------
% 1.25/1.43  %-------------------------------------------
% 1.25/1.43  % Proof found
% 1.25/1.43  % SZS status Theorem for theBenchmark
% 1.25/1.43  % SZS output start Proof
% 1.25/1.43  %ClaNum:289(EqnAxiom:88)
% 1.25/1.43  %VarNum:1015(SingletonVarNum:330)
% 1.25/1.43  %MaxLitNum:10
% 1.25/1.43  %MaxfuncDepth:4
% 1.25/1.43  %SharedTerms:34
% 1.25/1.43  %goalClause: 89 90 91 95 96 97 98 99 107 108 110 112 271
% 1.25/1.43  %singleGoalClaCount:11
% 1.25/1.43  [89]E(a1,a46)
% 1.25/1.43  [90]E(a2,a47)
% 1.25/1.43  [91]E(a1,a49)
% 1.25/1.43  [92]P1(a3)
% 1.25/1.43  [93]P1(a16)
% 1.25/1.43  [94]P15(a46)
% 1.25/1.43  [95]P15(a2)
% 1.25/1.43  [96]P15(a1)
% 1.25/1.43  [97]P15(a47)
% 1.25/1.43  [98]P15(a49)
% 1.25/1.43  [99]P15(a50)
% 1.25/1.43  [100]P2(a46)
% 1.25/1.43  [101]P16(a46)
% 1.25/1.43  [102]P17(a46)
% 1.25/1.43  [103]P19(a46)
% 1.25/1.43  [104]P18(a46)
% 1.25/1.43  [105]P3(a46)
% 1.25/1.43  [106]P4(a46)
% 1.25/1.43  [107]P4(a47)
% 1.25/1.43  [109]~E(a16,a3)
% 1.25/1.43  [110]~E(a2,a46)
% 1.25/1.43  [111]~P5(a46)
% 1.25/1.43  [108]E(f4(a47,a50),a49)
% 1.25/1.43  [112]E(a49,a46)+~E(a47,a46)
% 1.25/1.43  [121]~P15(x1211)+P6(x1211,a46)
% 1.25/1.43  [122]~P15(x1221)+P7(x1221,a46)
% 1.25/1.43  [123]~P15(x1231)+P14(x1231,a46)
% 1.25/1.43  [127]~P15(x1271)+P6(x1271,x1271)
% 1.25/1.43  [128]~P15(x1281)+P7(x1281,x1281)
% 1.25/1.43  [129]~P15(x1291)+P14(x1291,x1291)
% 1.25/1.43  [130]~P1(x1301)+P8(x1301,x1301)
% 1.25/1.43  [131]~P1(x1311)+P9(x1311,x1311)
% 1.25/1.43  [171]~P1(x1711)+~P11(a46,x1711)
% 1.25/1.43  [175]~P12(x1751,x1751)+~P1(x1751)
% 1.25/1.43  [125]~P15(x1251)+E(f4(x1251,a46),x1251)
% 1.25/1.43  [126]~P15(x1261)+E(f4(a46,x1261),x1261)
% 1.25/1.43  [180]~P1(x1801)+P2(f6(x1801,a46))
% 1.25/1.43  [181]~P1(x1811)+P16(f6(x1811,a46))
% 1.25/1.43  [182]~P1(x1821)+P17(f6(x1821,a46))
% 1.25/1.43  [183]~P1(x1831)+P19(f6(x1831,a46))
% 1.25/1.43  [184]~P1(x1841)+P18(f6(x1841,a46))
% 1.25/1.43  [185]~P1(x1851)+P3(f6(x1851,a46))
% 1.25/1.43  [186]~P1(x1861)+P4(f6(x1861,a46))
% 1.25/1.43  [166]~P15(x1661)+~E(a46,x1661)+P6(a46,x1661)
% 1.25/1.43  [167]~P15(x1671)+~E(a46,x1671)+P7(a46,x1671)
% 1.25/1.43  [168]~P15(x1681)+~E(a46,x1681)+P14(a46,x1681)
% 1.25/1.43  [172]~P15(x1721)+~P6(a46,x1721)+E(a46,x1721)
% 1.25/1.43  [173]~P15(x1731)+~P7(a46,x1731)+E(a46,x1731)
% 1.25/1.43  [174]~P15(x1741)+~P14(a46,x1741)+E(a46,x1741)
% 1.25/1.43  [113]~P15(x1131)+E(f51(x1131),f27(x1131))+E(a46,x1131)
% 1.25/1.43  [114]~P15(x1141)+E(f57(x1141),f45(x1141))+E(a46,x1141)
% 1.25/1.43  [115]~P15(x1151)+E(a46,x1151)+P1(f51(x1151))
% 1.25/1.43  [116]~P15(x1161)+E(a46,x1161)+P1(f28(x1161))
% 1.25/1.43  [117]~P15(x1171)+E(a46,x1171)+P1(f27(x1171))
% 1.25/1.43  [118]~P15(x1181)+E(a46,x1181)+P15(f57(x1181))
% 1.25/1.43  [119]~P15(x1191)+E(a46,x1191)+P15(f29(x1191))
% 1.25/1.43  [120]~P15(x1201)+E(a46,x1201)+P15(f45(x1201))
% 1.25/1.43  [124]P3(x1241)+~P15(x1241)+E(f30(x1241),f36(x1241))
% 1.25/1.43  [132]~P15(x1321)+P2(x1321)+P1(f5(x1321))
% 1.25/1.43  [133]~P15(x1331)+P2(x1331)+P1(f7(x1331))
% 1.25/1.43  [134]~P15(x1341)+P2(x1341)+P15(f8(x1341))
% 1.25/1.43  [135]~P15(x1351)+P2(x1351)+P15(f9(x1351))
% 1.25/1.43  [136]~P15(x1361)+P2(x1361)+P15(f10(x1361))
% 1.25/1.43  [137]~P15(x1371)+P16(x1371)+P1(f11(x1371))
% 1.25/1.43  [138]~P15(x1381)+P16(x1381)+P1(f12(x1381))
% 1.25/1.43  [139]~P15(x1391)+P16(x1391)+P15(f13(x1391))
% 1.25/1.43  [140]~P15(x1401)+P16(x1401)+P15(f14(x1401))
% 1.25/1.43  [141]~P15(x1411)+P16(x1411)+P15(f15(x1411))
% 1.25/1.43  [142]~P15(x1421)+P17(x1421)+P1(f17(x1421))
% 1.25/1.43  [143]~P15(x1431)+P17(x1431)+P1(f18(x1431))
% 1.25/1.43  [144]~P15(x1441)+P17(x1441)+P15(f19(x1441))
% 1.25/1.43  [145]~P15(x1451)+P17(x1451)+P15(f20(x1451))
% 1.25/1.43  [146]~P15(x1461)+P17(x1461)+P15(f21(x1461))
% 1.25/1.43  [147]~P15(x1471)+P19(x1471)+P1(f22(x1471))
% 1.25/1.43  [148]~P15(x1481)+P19(x1481)+P1(f23(x1481))
% 1.25/1.43  [149]~P15(x1491)+P19(x1491)+P15(f24(x1491))
% 1.25/1.43  [150]~P15(x1501)+P19(x1501)+P15(f25(x1501))
% 1.25/1.43  [151]~P15(x1511)+P19(x1511)+P15(f26(x1511))
% 1.25/1.43  [152]~P15(x1521)+P18(x1521)+P1(f31(x1521))
% 1.25/1.43  [153]~P15(x1531)+P18(x1531)+P1(f32(x1531))
% 1.25/1.43  [154]~P15(x1541)+P18(x1541)+P15(f33(x1541))
% 1.25/1.43  [155]~P15(x1551)+P18(x1551)+P15(f34(x1551))
% 1.25/1.43  [156]~P15(x1561)+P18(x1561)+P15(f35(x1561))
% 1.25/1.43  [157]~P15(x1571)+P3(x1571)+P1(f30(x1571))
% 1.25/1.43  [158]~P15(x1581)+P3(x1581)+P1(f36(x1581))
% 1.25/1.43  [159]~P15(x1591)+P3(x1591)+P15(f37(x1591))
% 1.25/1.43  [160]~P15(x1601)+P3(x1601)+P15(f38(x1601))
% 1.25/1.43  [161]~P15(x1611)+P3(x1611)+P15(f39(x1611))
% 1.25/1.43  [162]~P15(x1621)+P4(x1621)+P1(f40(x1621))
% 1.25/1.43  [163]~P15(x1631)+P4(x1631)+P1(f42(x1631))
% 1.25/1.43  [164]~P15(x1641)+P4(x1641)+P15(f43(x1641))
% 1.25/1.43  [165]~P15(x1651)+P4(x1651)+P15(f44(x1651))
% 1.25/1.43  [169]~P15(x1691)+P4(x1691)+~E(f42(x1691),f40(x1691))
% 1.25/1.43  [170]~P15(x1701)+~P5(x1701)+P1(f52(x1701))
% 1.25/1.43  [191]~P15(x1911)+P2(x1911)+P8(f5(x1911),f7(x1911))
% 1.25/1.43  [192]~P15(x1921)+P2(x1921)+P8(f7(x1921),f5(x1921))
% 1.25/1.43  [212]~P15(x2121)+P16(x2121)+~P8(f11(x2121),f12(x2121))
% 1.25/1.43  [213]~P15(x2131)+P16(x2131)+~P8(f12(x2131),f11(x2131))
% 1.25/1.43  [214]~P15(x2141)+P17(x2141)+~P12(f17(x2141),f18(x2141))
% 1.25/1.43  [215]~P15(x2151)+P17(x2151)+~P12(f18(x2151),f17(x2151))
% 1.25/1.43  [216]~P15(x2161)+P19(x2161)+~P8(f22(x2161),f23(x2161))
% 1.25/1.43  [217]~P15(x2171)+P18(x2171)+~P12(f31(x2171),f32(x2171))
% 1.25/1.43  [179]~P15(x1791)+~P5(x1791)+E(f6(f52(x1791),a46),x1791)
% 1.25/1.43  [187]~P15(x1871)+E(a46,x1871)+E(f6(f51(x1871),f57(x1871)),x1871)
% 1.25/1.43  [188]~P15(x1881)+E(a46,x1881)+E(f6(f28(x1881),f29(x1881)),x1881)
% 1.25/1.43  [278]P2(x2781)+~P15(x2781)+E(f4(f4(f8(x2781),f6(f5(x2781),f9(x2781))),f6(f7(x2781),f10(x2781))),x2781)
% 1.25/1.43  [279]P16(x2791)+~P15(x2791)+E(f4(f4(f13(x2791),f6(f11(x2791),f14(x2791))),f6(f12(x2791),f15(x2791))),x2791)
% 1.25/1.43  [280]P17(x2801)+~P15(x2801)+E(f4(f4(f19(x2801),f6(f17(x2801),f20(x2801))),f6(f18(x2801),f21(x2801))),x2801)
% 1.25/1.43  [281]P19(x2811)+~P15(x2811)+E(f4(f4(f24(x2811),f6(f22(x2811),f25(x2811))),f6(f23(x2811),f26(x2811))),x2811)
% 1.25/1.43  [282]P18(x2821)+~P15(x2821)+E(f4(f4(f33(x2821),f6(f31(x2821),f34(x2821))),f6(f32(x2821),f35(x2821))),x2821)
% 1.25/1.43  [283]P3(x2831)+~P15(x2831)+E(f4(f4(f37(x2831),f6(f30(x2831),f38(x2831))),f6(f36(x2831),f39(x2831))),x2831)
% 1.25/1.43  [276]P4(x2761)+~P15(x2761)+E(f4(f43(x2761),f6(f40(x2761),f6(f42(x2761),f44(x2761)))),x2761)
% 1.25/1.43  [189]~P1(x1891)+~P15(x1892)+~E(f6(x1891,x1892),a46)
% 1.25/1.43  [190]~P1(x1901)+~P15(x1902)+~E(f6(x1901,x1902),x1902)
% 1.25/1.43  [199]~P1(x1991)+~P15(x1992)+P15(f6(x1991,x1992))
% 1.25/1.43  [200]~P15(x2002)+~P15(x2001)+P15(f4(x2001,x2002))
% 1.25/1.43  [201]~P1(x2011)+~P15(x2012)+E(f51(f6(x2011,x2012)),x2011)
% 1.25/1.43  [202]~P1(x2021)+~P15(x2022)+E(f57(f6(x2021,x2022)),x2022)
% 1.25/1.43  [229]~P1(x2291)+~P15(x2292)+E(f4(f6(x2291,a46),x2292),f6(x2291,x2292))
% 1.25/1.43  [176]P13(x1761,x1762)+~P1(x1762)+~P1(x1761)+E(x1761,x1762)
% 1.25/1.43  [177]P13(x1771,x1772)+~P15(x1772)+~P15(x1771)+E(x1771,x1772)
% 1.25/1.43  [196]~P1(x1962)+~P1(x1961)+~P13(x1961,x1962)+~E(x1961,x1962)
% 1.25/1.43  [197]~P1(x1972)+~P1(x1971)+~P12(x1971,x1972)+~E(x1971,x1972)
% 1.25/1.43  [198]~P15(x1982)+~P15(x1981)+~P13(x1981,x1982)+~E(x1981,x1982)
% 1.25/1.43  [207]~P1(x2071)+~P1(x2072)+~P9(x2072,x2071)+P8(x2071,x2072)
% 1.25/1.43  [208]~P1(x2082)+~P1(x2081)+~P12(x2081,x2082)+P8(x2081,x2082)
% 1.25/1.43  [209]~P1(x2091)+~P1(x2092)+~P10(x2092,x2091)+P12(x2091,x2092)
% 1.25/1.43  [210]~P1(x2101)+~P1(x2102)+~P8(x2102,x2101)+P9(x2101,x2102)
% 1.25/1.43  [211]~P1(x2111)+~P1(x2112)+~P12(x2112,x2111)+P10(x2111,x2112)
% 1.25/1.43  [220]~P12(x2201,x2202)+~P12(x2202,x2201)+~P1(x2201)+~P1(x2202)
% 1.25/1.43  [221]~P10(x2211,x2212)+~P10(x2212,x2211)+~P1(x2211)+~P1(x2212)
% 1.25/1.43  [193]~P15(x1932)+~P15(x1931)+E(a46,x1931)+~E(f4(x1932,x1931),a46)
% 1.25/1.43  [194]~P15(x1942)+~P15(x1941)+E(a46,x1941)+~E(f4(x1941,x1942),a46)
% 1.25/1.43  [195]~P1(x1952)+~P15(x1951)+P5(x1951)+~E(f6(x1952,a46),x1951)
% 1.25/1.43  [204]~P1(x2041)+~P15(x2042)+~E(a46,x2042)+P19(f6(x2041,x2042))
% 1.25/1.43  [205]~P1(x2051)+~P15(x2052)+~E(a46,x2052)+P18(f6(x2051,x2052))
% 1.25/1.43  [232]~P1(x2322)+~P15(x2321)+~P11(x2321,x2322)+P15(f41(x2321,x2322))
% 1.25/1.43  [233]~P1(x2332)+~P15(x2331)+~P11(x2331,x2332)+P15(f48(x2331,x2332))
% 1.25/1.43  [234]~P15(x2342)+~P15(x2341)+~P6(x2341,x2342)+P15(f53(x2341,x2342))
% 1.25/1.43  [235]~P15(x2352)+~P15(x2351)+~P7(x2351,x2352)+P15(f54(x2351,x2352))
% 1.25/1.43  [236]~P15(x2362)+~P15(x2361)+~P14(x2361,x2362)+P15(f55(x2361,x2362))
% 1.25/1.43  [237]~P15(x2372)+~P15(x2371)+~P14(x2371,x2372)+P15(f56(x2371,x2372))
% 1.25/1.43  [206]~P15(x2062)+~P15(x2061)+E(a46,x2061)+E(f51(f4(x2061,x2062)),f51(x2061))
% 1.25/1.43  [231]~P15(x2312)+~P15(x2311)+E(a46,x2311)+E(f57(f4(x2311,x2312)),f4(f57(x2311),x2312))
% 1.25/1.43  [244]~P15(x2442)+~P15(x2441)+~P6(x2442,x2441)+E(f4(x2441,f53(x2442,x2441)),x2442)
% 1.25/1.43  [245]~P15(x2452)+~P15(x2451)+~P7(x2451,x2452)+E(f4(f54(x2451,x2452),x2452),x2451)
% 1.25/1.43  [275]~P15(x2752)+~P15(x2751)+~P14(x2751,x2752)+E(f4(f4(f55(x2751,x2752),x2752),f56(x2751,x2752)),x2751)
% 1.25/1.43  [274]~P1(x2742)+~P15(x2741)+~P11(x2741,x2742)+E(f4(f41(x2741,x2742),f6(x2742,f48(x2741,x2742))),x2741)
% 1.25/1.43  [263]~P1(x2631)+~P15(x2632)+~P15(x2633)+E(f6(x2631,f4(x2632,x2633)),f4(f6(x2631,x2632),x2633))
% 1.25/1.43  [264]~P15(x2643)+~P15(x2642)+~P15(x2641)+E(f4(f4(x2641,x2642),x2643),f4(x2641,f4(x2642,x2643)))
% 1.25/1.43  [219]P12(x2191,x2192)+~P1(x2192)+~P1(x2191)+~P8(x2191,x2192)+E(x2191,x2192)
% 1.25/1.43  [224]~P1(x2242)+~P1(x2241)+~P8(x2242,x2241)+~P8(x2241,x2242)+E(x2241,x2242)
% 1.25/1.43  [225]~P1(x2252)+~P1(x2251)+~P9(x2252,x2251)+~P9(x2251,x2252)+E(x2251,x2252)
% 1.25/1.43  [226]~P15(x2262)+~P15(x2261)+~P6(x2262,x2261)+~P6(x2261,x2262)+E(x2261,x2262)
% 1.25/1.43  [227]~P15(x2272)+~P15(x2271)+~P7(x2272,x2271)+~P7(x2271,x2272)+E(x2271,x2272)
% 1.25/1.43  [228]~P15(x2282)+~P15(x2281)+~P14(x2282,x2281)+~P14(x2281,x2282)+E(x2281,x2282)
% 1.25/1.43  [178]~P15(x1781)+~P15(x1782)+~E(a46,x1781)+~E(a46,x1782)+E(f4(x1781,x1782),a46)
% 1.25/1.43  [240]P19(x2401)+~P15(x2401)+~P1(x2402)+E(a46,x2401)+~P19(f6(x2402,x2401))
% 1.25/1.43  [241]P18(x2411)+~P15(x2411)+~P1(x2412)+E(a46,x2411)+~P18(f6(x2412,x2411))
% 1.25/1.43  [254]~P1(x2542)+~P15(x2541)+E(a46,x2541)+P8(x2542,f51(x2541))+~P19(f6(x2542,x2541))
% 1.25/1.43  [255]~P1(x2552)+~P15(x2551)+E(a46,x2551)+P12(x2552,f51(x2551))+~P18(f6(x2552,x2551))
% 1.25/1.43  [222]~P15(x2221)+~P15(x2222)+~P15(x2223)+P6(x2221,x2222)+~E(f4(x2222,x2223),x2221)
% 1.25/1.44  [223]~P15(x2231)+~P15(x2232)+~P15(x2233)+P7(x2231,x2232)+~E(f4(x2233,x2232),x2231)
% 1.25/1.44  [230]~E(x2303,x2301)+~P1(x2301)+~P1(x2303)+~P15(x2302)+P11(f6(x2301,x2302),x2303)
% 1.25/1.44  [238]~P15(x2382)+~P15(x2383)+~P15(x2381)+E(x2381,x2382)+~E(f4(x2383,x2381),f4(x2383,x2382))
% 1.25/1.44  [239]~P15(x2392)+~P15(x2393)+~P15(x2391)+E(x2391,x2392)+~E(f4(x2391,x2393),f4(x2392,x2393))
% 1.25/1.44  [256]~P1(x2561)+~P1(x2563)+~P15(x2562)+~P11(x2562,x2563)+P11(f6(x2561,x2562),x2563)
% 1.25/1.44  [257]~P1(x2573)+~P15(x2571)+~P15(x2572)+~P11(x2572,x2573)+P11(f4(x2571,x2572),x2573)
% 1.25/1.44  [258]~P1(x2583)+~P15(x2582)+~P15(x2581)+~P11(x2581,x2583)+P11(f4(x2581,x2582),x2583)
% 1.25/1.44  [259]~P15(x2592)+~P15(x2593)+~P15(x2591)+~P6(x2591,x2593)+P6(f4(x2591,x2592),x2593)
% 1.25/1.44  [260]~P15(x2601)+~P15(x2603)+~P15(x2602)+~P7(x2602,x2603)+P7(f4(x2601,x2602),x2603)
% 1.25/1.44  [271]~P1(x2712)+~P15(x2711)+~P15(x2713)+~E(f4(f6(x2712,a46),x2713),a50)+~E(f4(x2711,f6(x2712,a46)),a47)
% 1.25/1.44  [261]~P1(x2612)+~P15(x2611)+~P19(x2611)+~P8(x2612,f51(x2611))+E(a46,x2611)+P19(f6(x2612,x2611))
% 1.25/1.44  [262]~P1(x2622)+~P15(x2621)+~P18(x2621)+~P12(x2622,f51(x2621))+E(a46,x2621)+P18(f6(x2622,x2621))
% 1.25/1.44  [246]~P15(x2462)+~P15(x2461)+~P6(x2463,x2462)+~P6(x2461,x2463)+P6(x2461,x2462)+~P15(x2463)
% 1.25/1.44  [247]~P15(x2472)+~P15(x2471)+~P7(x2473,x2472)+~P7(x2471,x2473)+P7(x2471,x2472)+~P15(x2473)
% 1.25/1.44  [248]~P15(x2482)+~P15(x2481)+~P14(x2483,x2482)+~P14(x2481,x2483)+P14(x2481,x2482)+~P15(x2483)
% 1.25/1.44  [249]~P1(x2492)+~P1(x2491)+~P8(x2493,x2492)+~P8(x2491,x2493)+P8(x2491,x2492)+~P1(x2493)
% 1.25/1.44  [250]~P1(x2502)+~P1(x2501)+~P8(x2501,x2503)+~P12(x2503,x2502)+P12(x2501,x2502)+~P1(x2503)
% 1.25/1.44  [251]~P1(x2512)+~P1(x2511)+~P12(x2513,x2512)+~P12(x2511,x2513)+P12(x2511,x2512)+~P1(x2513)
% 1.25/1.44  [252]~P1(x2522)+~P1(x2521)+~P9(x2523,x2522)+~P9(x2521,x2523)+P9(x2521,x2522)+~P1(x2523)
% 1.25/1.44  [253]~P1(x2532)+~P1(x2531)+~P10(x2533,x2532)+~P10(x2531,x2533)+P10(x2531,x2532)+~P1(x2533)
% 1.25/1.44  [265]~P1(x2652)+~P1(x2651)+~P15(x2653)+E(x2651,x2652)+P11(x2653,x2652)+~P11(f6(x2651,x2653),x2652)
% 1.25/1.44  [268]~P1(x2682)+~P15(x2681)+~P15(x2683)+P11(x2681,x2682)+P11(x2683,x2682)+~P11(f4(x2683,x2681),x2682)
% 1.25/1.44  [242]~P1(x2424)+~P1(x2423)+~P15(x2422)+~P15(x2421)+E(x2421,x2422)+~E(f6(x2423,x2422),f6(x2424,x2421))
% 1.25/1.44  [243]~P1(x2432)+~P1(x2431)+~P15(x2434)+~P15(x2433)+E(x2431,x2432)+~E(f6(x2431,x2433),f6(x2432,x2434))
% 1.25/1.44  [270]~P1(x2702)+~P1(x2701)+E(x2701,x2702)+~P15(x2703)+~P15(x2704)+~P6(f6(x2701,x2704),f6(x2702,x2703))
% 1.25/1.44  [273]~P15(x2732)+~P15(x2731)+P6(x2731,x2732)+~P1(x2733)+~P1(x2734)+~P6(f6(x2734,x2731),f6(x2733,x2732))
% 1.25/1.44  [266]~P1(x2662)+~P15(x2661)+~P15(x2664)+~P15(x2663)+P11(x2661,x2662)+~E(f4(x2663,f6(x2662,x2664)),x2661)
% 1.25/1.44  [267]~P15(x2671)+~P15(x2672)+~P15(x2674)+~P15(x2673)+P14(x2671,x2672)+~E(f4(f4(x2673,x2672),x2674),x2671)
% 1.25/1.44  [272]~P15(x2723)+~P15(x2721)+~P15(x2724)+~P15(x2722)+~P14(x2722,x2724)+P14(f4(f4(x2721,x2722),x2723),x2724)
% 1.25/1.44  [203]~P15(x2032)+~P15(x2031)+E(x2031,x2032)+E(a46,x2032)+E(a46,x2031)+~E(f51(x2031),f51(x2032))+~E(f57(x2031),f57(x2032))
% 1.25/1.44  [269]~E(x2691,x2693)+~P1(x2693)+~P1(x2691)+~P15(x2694)+~P15(x2692)+~P6(x2692,x2694)+P6(f6(x2691,x2692),f6(x2693,x2694))
% 1.25/1.44  [277]~P1(x2772)+~P1(x2771)+~P15(x2774)+~P15(x2773)+~P15(x2775)+~P4(x2775)+E(x2771,x2772)+~E(f4(x2773,f6(x2771,f6(x2772,x2774))),x2775)
% 1.25/1.44  [284]~P1(x2842)+~P1(x2841)+~P15(x2845)+~P15(x2844)+~P15(x2843)+~P15(x2846)+~P3(x2846)+~E(x2841,x2842)+~E(f4(f4(x2843,f6(x2841,x2844)),f6(x2842,x2845)),x2846)
% 1.25/1.44  [285]~P1(x2852)+~P1(x2851)+~P15(x2855)+~P15(x2854)+~P15(x2853)+~P15(x2856)+~P19(x2856)+P8(x2851,x2852)+~E(f4(f4(x2853,f6(x2851,x2854)),f6(x2852,x2855)),x2856)
% 1.25/1.44  [286]~P1(x2862)+~P1(x2861)+~P15(x2865)+~P15(x2864)+~P15(x2863)+~P15(x2866)+~P18(x2866)+P12(x2861,x2862)+~E(f4(f4(x2863,f6(x2861,x2864)),f6(x2862,x2865)),x2866)
% 1.25/1.44  [287]P8(x2872,x2871)+~P1(x2871)+~P1(x2872)+~P15(x2875)+~P15(x2874)+~P15(x2873)+~P15(x2876)+~P16(x2876)+P8(x2871,x2872)+~E(f4(f4(x2873,f6(x2872,x2874)),f6(x2871,x2875)),x2876)
% 1.25/1.44  [288]P12(x2882,x2881)+~P1(x2881)+~P1(x2882)+~P15(x2885)+~P15(x2884)+~P15(x2883)+~P15(x2886)+~P17(x2886)+P12(x2881,x2882)+~E(f4(f4(x2883,f6(x2882,x2884)),f6(x2881,x2885)),x2886)
% 1.25/1.44  [289]~P1(x2894)+~P1(x2892)+~P15(x2895)+~P15(x2893)+~P15(x2891)+~P15(x2896)+~P2(x2896)+~P8(x2894,x2892)+~P8(x2892,x2894)+~E(f4(f4(x2891,f6(x2892,x2893)),f6(x2894,x2895)),x2896)
% 1.25/1.44  %EqnAxiom
% 1.25/1.44  [1]E(x11,x11)
% 1.25/1.44  [2]E(x22,x21)+~E(x21,x22)
% 1.25/1.44  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.25/1.44  [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 1.25/1.44  [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 1.25/1.44  [6]~E(x61,x62)+E(f51(x61),f51(x62))
% 1.25/1.44  [7]~E(x71,x72)+E(f27(x71),f27(x72))
% 1.25/1.44  [8]~E(x81,x82)+E(f57(x81),f57(x82))
% 1.25/1.44  [9]~E(x91,x92)+E(f45(x91),f45(x92))
% 1.25/1.44  [10]~E(x101,x102)+E(f6(x101,x103),f6(x102,x103))
% 1.25/1.44  [11]~E(x111,x112)+E(f6(x113,x111),f6(x113,x112))
% 1.25/1.44  [12]~E(x121,x122)+E(f28(x121),f28(x122))
% 1.25/1.44  [13]~E(x131,x132)+E(f5(x131),f5(x132))
% 1.25/1.44  [14]~E(x141,x142)+E(f8(x141),f8(x142))
% 1.25/1.44  [15]~E(x151,x152)+E(f29(x151),f29(x152))
% 1.25/1.44  [16]~E(x161,x162)+E(f44(x161),f44(x162))
% 1.25/1.44  [17]~E(x171,x172)+E(f30(x171),f30(x172))
% 1.25/1.44  [18]~E(x181,x182)+E(f36(x181),f36(x182))
% 1.25/1.44  [19]~E(x191,x192)+E(f42(x191),f42(x192))
% 1.25/1.44  [20]~E(x201,x202)+E(f40(x201),f40(x202))
% 1.25/1.44  [21]~E(x211,x212)+E(f48(x211,x213),f48(x212,x213))
% 1.25/1.44  [22]~E(x221,x222)+E(f48(x223,x221),f48(x223,x222))
% 1.25/1.44  [23]~E(x231,x232)+E(f7(x231),f7(x232))
% 1.25/1.44  [24]~E(x241,x242)+E(f55(x241,x243),f55(x242,x243))
% 1.25/1.44  [25]~E(x251,x252)+E(f55(x253,x251),f55(x253,x252))
% 1.25/1.44  [26]~E(x261,x262)+E(f9(x261),f9(x262))
% 1.25/1.44  [27]~E(x271,x272)+E(f10(x271),f10(x272))
% 1.25/1.44  [28]~E(x281,x282)+E(f11(x281),f11(x282))
% 1.25/1.44  [29]~E(x291,x292)+E(f12(x291),f12(x292))
% 1.25/1.44  [30]~E(x301,x302)+E(f13(x301),f13(x302))
% 1.25/1.44  [31]~E(x311,x312)+E(f14(x311),f14(x312))
% 1.25/1.44  [32]~E(x321,x322)+E(f15(x321),f15(x322))
% 1.25/1.44  [33]~E(x331,x332)+E(f17(x331),f17(x332))
% 1.25/1.44  [34]~E(x341,x342)+E(f18(x341),f18(x342))
% 1.25/1.44  [35]~E(x351,x352)+E(f19(x351),f19(x352))
% 1.25/1.44  [36]~E(x361,x362)+E(f20(x361),f20(x362))
% 1.25/1.44  [37]~E(x371,x372)+E(f21(x371),f21(x372))
% 1.25/1.44  [38]~E(x381,x382)+E(f22(x381),f22(x382))
% 1.25/1.44  [39]~E(x391,x392)+E(f23(x391),f23(x392))
% 1.25/1.44  [40]~E(x401,x402)+E(f24(x401),f24(x402))
% 1.25/1.44  [41]~E(x411,x412)+E(f25(x411),f25(x412))
% 1.25/1.44  [42]~E(x421,x422)+E(f26(x421),f26(x422))
% 1.25/1.44  [43]~E(x431,x432)+E(f31(x431),f31(x432))
% 1.25/1.44  [44]~E(x441,x442)+E(f32(x441),f32(x442))
% 1.25/1.44  [45]~E(x451,x452)+E(f33(x451),f33(x452))
% 1.25/1.44  [46]~E(x461,x462)+E(f34(x461),f34(x462))
% 1.25/1.44  [47]~E(x471,x472)+E(f35(x471),f35(x472))
% 1.25/1.44  [48]~E(x481,x482)+E(f53(x481,x483),f53(x482,x483))
% 1.25/1.44  [49]~E(x491,x492)+E(f53(x493,x491),f53(x493,x492))
% 1.25/1.44  [50]~E(x501,x502)+E(f41(x501,x503),f41(x502,x503))
% 1.25/1.44  [51]~E(x511,x512)+E(f41(x513,x511),f41(x513,x512))
% 1.25/1.44  [52]~E(x521,x522)+E(f37(x521),f37(x522))
% 1.25/1.44  [53]~E(x531,x532)+E(f38(x531),f38(x532))
% 1.25/1.44  [54]~E(x541,x542)+E(f39(x541),f39(x542))
% 1.25/1.44  [55]~E(x551,x552)+E(f56(x551,x553),f56(x552,x553))
% 1.25/1.44  [56]~E(x561,x562)+E(f56(x563,x561),f56(x563,x562))
% 1.25/1.44  [57]~E(x571,x572)+E(f54(x571,x573),f54(x572,x573))
% 1.25/1.44  [58]~E(x581,x582)+E(f54(x583,x581),f54(x583,x582))
% 1.25/1.44  [59]~E(x591,x592)+E(f43(x591),f43(x592))
% 1.25/1.44  [60]~E(x601,x602)+E(f52(x601),f52(x602))
% 1.25/1.44  [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 1.25/1.44  [62]P8(x622,x623)+~E(x621,x622)+~P8(x621,x623)
% 1.25/1.44  [63]P8(x633,x632)+~E(x631,x632)+~P8(x633,x631)
% 1.25/1.44  [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 1.25/1.44  [65]P11(x652,x653)+~E(x651,x652)+~P11(x651,x653)
% 1.25/1.44  [66]P11(x663,x662)+~E(x661,x662)+~P11(x663,x661)
% 1.25/1.44  [67]~P3(x671)+P3(x672)+~E(x671,x672)
% 1.25/1.44  [68]~P4(x681)+P4(x682)+~E(x681,x682)
% 1.25/1.44  [69]~P2(x691)+P2(x692)+~E(x691,x692)
% 1.25/1.44  [70]P12(x702,x703)+~E(x701,x702)+~P12(x701,x703)
% 1.25/1.44  [71]P12(x713,x712)+~E(x711,x712)+~P12(x713,x711)
% 1.25/1.44  [72]~P5(x721)+P5(x722)+~E(x721,x722)
% 1.25/1.44  [73]~P16(x731)+P16(x732)+~E(x731,x732)
% 1.25/1.44  [74]~P17(x741)+P17(x742)+~E(x741,x742)
% 1.25/1.44  [75]~P19(x751)+P19(x752)+~E(x751,x752)
% 1.25/1.44  [76]~P18(x761)+P18(x762)+~E(x761,x762)
% 1.25/1.44  [77]P13(x772,x773)+~E(x771,x772)+~P13(x771,x773)
% 1.25/1.44  [78]P13(x783,x782)+~E(x781,x782)+~P13(x783,x781)
% 1.25/1.44  [79]P7(x792,x793)+~E(x791,x792)+~P7(x791,x793)
% 1.25/1.44  [80]P7(x803,x802)+~E(x801,x802)+~P7(x803,x801)
% 1.25/1.44  [81]P14(x812,x813)+~E(x811,x812)+~P14(x811,x813)
% 1.25/1.44  [82]P14(x823,x822)+~E(x821,x822)+~P14(x823,x821)
% 1.25/1.44  [83]P6(x832,x833)+~E(x831,x832)+~P6(x831,x833)
% 1.25/1.44  [84]P6(x843,x842)+~E(x841,x842)+~P6(x843,x841)
% 1.25/1.44  [85]P9(x852,x853)+~E(x851,x852)+~P9(x851,x853)
% 1.25/1.44  [86]P9(x863,x862)+~E(x861,x862)+~P9(x863,x861)
% 1.25/1.44  [87]P10(x872,x873)+~E(x871,x872)+~P10(x871,x873)
% 1.25/1.44  [88]P10(x883,x882)+~E(x881,x882)+~P10(x883,x881)
% 1.25/1.44  
% 1.25/1.44  %-------------------------------------------
% 1.25/1.44  cnf(290,plain,
% 1.25/1.44     (E(a46,a1)),
% 1.25/1.44     inference(scs_inference,[],[89,2])).
% 1.25/1.44  cnf(291,plain,
% 1.25/1.44     (~P12(a3,a3)),
% 1.25/1.44     inference(scs_inference,[],[89,92,2,175])).
% 1.25/1.44  cnf(293,plain,
% 1.25/1.44     (P18(a1)),
% 1.25/1.44     inference(scs_inference,[],[89,92,104,2,175,76])).
% 1.25/1.44  cnf(294,plain,
% 1.25/1.44     (P19(a1)),
% 1.25/1.44     inference(scs_inference,[],[89,92,103,104,2,175,76,75])).
% 1.25/1.44  cnf(295,plain,
% 1.25/1.44     (P17(a1)),
% 1.25/1.44     inference(scs_inference,[],[89,92,102,103,104,2,175,76,75,74])).
% 1.25/1.44  cnf(296,plain,
% 1.25/1.44     (P16(a1)),
% 1.25/1.44     inference(scs_inference,[],[89,92,101,102,103,104,2,175,76,75,74,73])).
% 1.25/1.44  cnf(298,plain,
% 1.25/1.44     (P2(a1)),
% 1.25/1.44     inference(scs_inference,[],[89,92,100,101,102,103,104,111,2,175,76,75,74,73,72,69])).
% 1.25/1.44  cnf(299,plain,
% 1.25/1.44     (P4(a1)),
% 1.25/1.44     inference(scs_inference,[],[89,92,100,101,102,103,104,106,111,2,175,76,75,74,73,72,69,68])).
% 1.25/1.44  cnf(300,plain,
% 1.25/1.44     (P3(a1)),
% 1.25/1.44     inference(scs_inference,[],[89,92,100,101,102,103,104,105,106,111,2,175,76,75,74,73,72,69,68,67])).
% 1.25/1.44  cnf(302,plain,
% 1.25/1.44     (P14(a46,a1)),
% 1.25/1.44     inference(scs_inference,[],[89,96,110,92,100,101,102,103,104,105,106,111,2,175,76,75,74,73,72,69,68,67,3,168])).
% 1.25/1.44  cnf(304,plain,
% 1.25/1.44     (P7(a46,a1)),
% 1.25/1.44     inference(scs_inference,[],[89,96,110,92,100,101,102,103,104,105,106,111,2,175,76,75,74,73,72,69,68,67,3,168,167])).
% 1.25/1.44  cnf(306,plain,
% 1.25/1.44     (P6(a46,a1)),
% 1.25/1.44     inference(scs_inference,[],[89,96,110,92,100,101,102,103,104,105,106,111,2,175,76,75,74,73,72,69,68,67,3,168,167,166])).
% 1.25/1.44  cnf(308,plain,
% 1.25/1.44     (P7(a49,a50)),
% 1.25/1.44     inference(scs_inference,[],[89,96,97,98,99,110,92,100,101,102,103,104,105,106,111,108,2,175,76,75,74,73,72,69,68,67,3,168,167,166,223])).
% 1.25/1.44  cnf(310,plain,
% 1.25/1.44     (P6(a49,a47)),
% 1.25/1.44     inference(scs_inference,[],[89,96,97,98,99,110,92,100,101,102,103,104,105,106,111,108,2,175,76,75,74,73,72,69,68,67,3,168,167,166,223,222])).
% 1.25/1.44  cnf(312,plain,
% 1.25/1.44     (~P11(a46,a3)),
% 1.25/1.44     inference(scs_inference,[],[89,96,97,98,99,110,92,100,101,102,103,104,105,106,111,108,2,175,76,75,74,73,72,69,68,67,3,168,167,166,223,222,171])).
% 1.25/1.44  cnf(316,plain,
% 1.25/1.44     (P8(a3,a3)),
% 1.25/1.44     inference(scs_inference,[],[89,96,97,98,99,110,92,100,101,102,103,104,105,106,111,108,2,175,76,75,74,73,72,69,68,67,3,168,167,166,223,222,171,131,130])).
% 1.25/1.44  cnf(318,plain,
% 1.25/1.44     (P14(a2,a2)),
% 1.25/1.44     inference(scs_inference,[],[89,95,96,97,98,99,110,92,100,101,102,103,104,105,106,111,108,2,175,76,75,74,73,72,69,68,67,3,168,167,166,223,222,171,131,130,129])).
% 1.25/1.44  cnf(320,plain,
% 1.25/1.44     (P7(a2,a2)),
% 1.25/1.44     inference(scs_inference,[],[89,95,96,97,98,99,110,92,100,101,102,103,104,105,106,111,108,2,175,76,75,74,73,72,69,68,67,3,168,167,166,223,222,171,131,130,129,128])).
% 1.25/1.44  cnf(322,plain,
% 1.25/1.44     (P6(a2,a2)),
% 1.25/1.44     inference(scs_inference,[],[89,95,96,97,98,99,110,92,100,101,102,103,104,105,106,111,108,2,175,76,75,74,73,72,69,68,67,3,168,167,166,223,222,171,131,130,129,128,127])).
% 1.25/1.44  cnf(324,plain,
% 1.25/1.44     (P14(a2,a46)),
% 1.25/1.44     inference(scs_inference,[],[89,95,96,97,98,99,110,92,100,101,102,103,104,105,106,111,108,2,175,76,75,74,73,72,69,68,67,3,168,167,166,223,222,171,131,130,129,128,127,123])).
% 1.25/1.44  cnf(326,plain,
% 1.25/1.44     (P7(a2,a46)),
% 1.25/1.44     inference(scs_inference,[],[89,95,96,97,98,99,110,92,100,101,102,103,104,105,106,111,108,2,175,76,75,74,73,72,69,68,67,3,168,167,166,223,222,171,131,130,129,128,127,123,122])).
% 1.25/1.44  cnf(328,plain,
% 1.25/1.44     (P6(a2,a46)),
% 1.25/1.44     inference(scs_inference,[],[89,95,96,97,98,99,110,92,100,101,102,103,104,105,106,111,108,2,175,76,75,74,73,72,69,68,67,3,168,167,166,223,222,171,131,130,129,128,127,123,122,121])).
% 1.25/1.44  cnf(403,plain,
% 1.25/1.44     (E(f4(x4031,a1),f4(x4031,a46))),
% 1.25/1.44     inference(scs_inference,[],[89,95,96,97,98,99,110,92,100,101,102,103,104,105,106,111,108,2,175,76,75,74,73,72,69,68,67,3,168,167,166,223,222,171,131,130,129,128,127,123,122,121,186,185,184,183,182,181,180,126,125,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 1.25/1.44  cnf(407,plain,
% 1.25/1.44     (E(f57(f6(a3,a2)),a2)),
% 1.25/1.44     inference(scs_inference,[],[89,95,96,97,98,99,110,92,100,101,102,103,104,105,106,111,108,2,175,76,75,74,73,72,69,68,67,3,168,167,166,223,222,171,131,130,129,128,127,123,122,121,186,185,184,183,182,181,180,126,125,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,71,65,202])).
% 1.25/1.44  cnf(532,plain,
% 1.25/1.44     (P15(f54(a2,a2))),
% 1.25/1.44     inference(scs_inference,[],[98,109,93,110,94,92,95,318,320,201,200,199,190,177,176,237,235])).
% 1.25/1.44  cnf(540,plain,
% 1.25/1.44     (E(f4(f54(a2,a2),a2),a2)),
% 1.25/1.44     inference(scs_inference,[],[98,109,93,110,94,92,95,318,320,322,201,200,199,190,177,176,237,235,234,264,263,245])).
% 1.25/1.44  cnf(544,plain,
% 1.25/1.44     (~P7(a46,a2)),
% 1.25/1.44     inference(scs_inference,[],[98,109,93,110,94,92,95,318,320,322,326,201,200,199,190,177,176,237,235,234,264,263,245,244,227])).
% 1.25/1.44  cnf(546,plain,
% 1.25/1.44     (P7(f4(a2,a2),a2)),
% 1.25/1.44     inference(scs_inference,[],[98,109,93,110,94,92,95,318,320,322,326,201,200,199,190,177,176,237,235,234,264,263,245,244,227,260])).
% 1.25/1.44  cnf(548,plain,
% 1.25/1.44     (P6(f4(a2,a2),a2)),
% 1.25/1.44     inference(scs_inference,[],[98,109,93,110,94,92,95,318,320,322,326,201,200,199,190,177,176,237,235,234,264,263,245,244,227,260,259])).
% 1.25/1.44  cnf(552,plain,
% 1.25/1.44     (P14(f4(f4(a2,a2),a2),a2)),
% 1.25/1.44     inference(scs_inference,[],[98,109,93,110,94,92,95,318,320,322,326,201,200,199,190,177,176,237,235,234,264,263,245,244,227,260,259,223,272])).
% 1.25/1.44  cnf(558,plain,
% 1.25/1.44     (P14(a1,a1)),
% 1.25/1.44     inference(scs_inference,[],[89,98,109,93,110,94,92,95,290,302,306,312,318,320,322,326,201,200,199,190,177,176,237,235,234,264,263,245,244,227,260,259,223,272,265,2,84,81])).
% 1.25/1.44  cnf(559,plain,
% 1.25/1.44     (~E(a1,a2)),
% 1.25/1.44     inference(scs_inference,[],[89,98,109,93,110,94,92,95,290,302,304,306,312,318,320,322,326,201,200,199,190,177,176,237,235,234,264,263,245,244,227,260,259,223,272,265,2,84,81,80])).
% 1.25/1.44  cnf(560,plain,
% 1.25/1.44     (P7(a1,a1)),
% 1.25/1.44     inference(scs_inference,[],[89,98,109,93,110,94,92,95,290,302,304,306,312,318,320,322,326,201,200,199,190,177,176,237,235,234,264,263,245,244,227,260,259,223,272,265,2,84,81,80,79])).
% 1.25/1.44  cnf(561,plain,
% 1.25/1.44     (~E(a47,a46)),
% 1.25/1.44     inference(scs_inference,[],[89,90,98,109,93,110,94,92,95,290,302,304,306,312,318,320,322,326,201,200,199,190,177,176,237,235,234,264,263,245,244,227,260,259,223,272,265,2,84,81,80,79,3])).
% 1.25/1.44  cnf(574,plain,
% 1.25/1.44     (~P14(a46,a2)),
% 1.25/1.44     inference(scs_inference,[],[89,90,98,109,93,110,96,94,92,95,290,291,302,304,306,312,318,320,322,324,326,201,200,199,190,177,176,237,235,234,264,263,245,244,227,260,259,223,272,265,2,84,81,80,79,3,202,189,229,209,236,275,228])).
% 1.25/1.44  cnf(576,plain,
% 1.25/1.44     (~P6(a46,a2)),
% 1.25/1.44     inference(scs_inference,[],[89,90,98,109,93,110,96,94,92,95,290,291,302,304,306,312,318,320,322,324,326,328,201,200,199,190,177,176,237,235,234,264,263,245,244,227,260,259,223,272,265,2,84,81,80,79,3,202,189,229,209,236,275,228,226])).
% 1.25/1.44  cnf(580,plain,
% 1.25/1.44     (P6(a1,a1)),
% 1.25/1.44     inference(scs_inference,[],[89,90,98,102,109,93,110,96,94,92,95,290,291,302,304,306,312,318,320,322,324,326,328,201,200,199,190,177,176,237,235,234,264,263,245,244,227,260,259,223,272,265,2,84,81,80,79,3,202,189,229,209,236,275,228,226,288,83])).
% 1.25/1.44  cnf(581,plain,
% 1.25/1.44     (P14(a2,a47)),
% 1.25/1.44     inference(scs_inference,[],[89,90,98,102,109,93,110,96,94,92,95,290,291,302,304,306,312,318,320,322,324,326,328,201,200,199,190,177,176,237,235,234,264,263,245,244,227,260,259,223,272,265,2,84,81,80,79,3,202,189,229,209,236,275,228,226,288,83,82])).
% 1.25/1.44  cnf(641,plain,
% 1.25/1.44     (~E(a46,a2)),
% 1.25/1.44     inference(scs_inference,[],[95,544,167])).
% 1.25/1.44  cnf(649,plain,
% 1.25/1.44     (E(f6(f51(a2),f57(a2)),a2)),
% 1.25/1.44     inference(scs_inference,[],[95,544,167,120,117,115,187])).
% 1.25/1.44  cnf(651,plain,
% 1.25/1.44     (~E(f4(a2,a2),a46)),
% 1.25/1.44     inference(scs_inference,[],[94,95,544,576,167,120,117,115,187,222])).
% 1.25/1.44  cnf(669,plain,
% 1.25/1.44     (P7(f4(a1,a1),a1)),
% 1.25/1.44     inference(scs_inference,[],[99,97,98,93,96,94,95,544,576,308,310,560,167,120,117,115,187,222,119,118,116,188,235,263,245,244,260])).
% 1.25/1.44  cnf(673,plain,
% 1.25/1.44     (P14(f4(f4(a1,a1),a1),a1)),
% 1.25/1.44     inference(scs_inference,[],[99,97,98,93,96,94,95,544,576,308,310,558,560,580,167,120,117,115,187,222,119,118,116,188,235,263,245,244,260,259,272])).
% 1.25/1.44  cnf(688,plain,
% 1.25/1.44     (E(f4(f4(f55(a46,a1),a1),f56(a46,a1)),a46)),
% 1.25/1.44     inference(scs_inference,[],[91,99,97,98,93,96,94,95,544,576,293,294,295,296,298,308,310,558,560,580,302,167,120,117,115,187,222,119,118,116,188,235,263,245,244,260,259,272,76,75,74,73,69,237,236,234,264,275])).
% 1.25/1.44  cnf(692,plain,
% 1.25/1.44     (P4(a49)),
% 1.25/1.44     inference(scs_inference,[],[91,99,102,97,98,93,96,94,92,95,544,576,293,294,295,296,298,299,308,310,558,560,580,302,291,167,120,117,115,187,222,119,118,116,188,235,263,245,244,260,259,272,76,75,74,73,69,237,236,234,264,275,288,68])).
% 1.25/1.44  cnf(696,plain,
% 1.25/1.44     (E(a47,a2)),
% 1.25/1.44     inference(scs_inference,[],[90,91,99,102,97,290,98,93,96,94,92,95,544,576,293,294,295,296,298,299,300,308,310,558,560,580,302,291,167,120,117,115,187,222,119,118,116,188,235,263,245,244,260,259,272,76,75,74,73,69,237,236,234,264,275,288,68,67,178,2])).
% 1.25/1.44  cnf(701,plain,
% 1.25/1.44     (~P7(a1,a2)),
% 1.25/1.44     inference(scs_inference,[],[90,91,99,102,97,290,98,93,96,94,92,95,544,574,576,559,407,293,294,295,296,298,299,300,308,310,558,560,580,302,291,89,167,120,117,115,187,222,119,118,116,188,235,263,245,244,260,259,272,76,75,74,73,69,237,236,234,264,275,288,68,67,178,2,3,84,81,80,79])).
% 1.25/1.44  cnf(702,plain,
% 1.25/1.44     (~P14(a46,f57(f6(a3,a2)))),
% 1.25/1.44     inference(scs_inference,[],[90,91,99,102,97,290,98,93,96,94,92,95,544,574,576,559,407,293,294,295,296,298,299,300,308,310,558,560,580,302,291,89,167,120,117,115,187,222,119,118,116,188,235,263,245,244,260,259,272,76,75,74,73,69,237,236,234,264,275,288,68,67,178,2,3,84,81,80,79,82])).
% 1.25/1.44  cnf(703,plain,
% 1.25/1.44     (~P6(a1,a2)),
% 1.25/1.44     inference(scs_inference,[],[90,91,99,102,97,290,98,93,96,94,92,95,544,574,576,559,407,293,294,295,296,298,299,300,308,310,558,560,580,302,291,89,167,120,117,115,187,222,119,118,116,188,235,263,245,244,260,259,272,76,75,74,73,69,237,236,234,264,275,288,68,67,178,2,3,84,81,80,79,82,83])).
% 1.25/1.44  cnf(710,plain,
% 1.25/1.44     (~E(f4(a47,f6(a16,f6(a3,a47))),a47)),
% 1.25/1.44     inference(scs_inference,[],[90,91,107,99,102,97,290,109,98,93,96,94,92,95,544,574,576,559,407,293,294,295,296,298,299,300,308,310,558,560,580,302,291,89,167,120,117,115,187,222,119,118,116,188,235,263,245,244,260,259,272,76,75,74,73,69,237,236,234,264,275,288,68,67,178,2,3,84,81,80,79,82,83,211,206,231,277])).
% 1.25/1.44  cnf(712,plain,
% 1.25/1.44     (~E(f4(f4(a49,f6(a3,a49)),f6(a3,a49)),a49)),
% 1.25/1.44     inference(scs_inference,[],[90,91,107,99,102,97,290,109,98,93,96,94,92,95,544,574,576,559,407,293,294,295,296,298,299,300,308,310,558,560,580,302,291,89,167,120,117,115,187,222,119,118,116,188,235,263,245,244,260,259,272,76,75,74,73,69,237,236,234,264,275,288,68,67,178,2,3,84,81,80,79,82,83,211,206,231,277,286])).
% 1.25/1.44  cnf(764,plain,
% 1.25/1.44     (P6(f4(a49,a49),a47)),
% 1.25/1.44     inference(scs_inference,[],[104,109,97,98,96,93,94,92,95,316,641,703,692,298,310,291,114,113,289,222,277,286,259])).
% 1.25/1.44  cnf(768,plain,
% 1.25/1.44     (~E(a46,a47)),
% 1.25/1.44     inference(scs_inference,[],[104,109,97,99,98,96,93,94,92,95,316,641,561,703,692,298,308,310,291,114,113,289,222,277,286,259,260,2])).
% 1.25/1.44  cnf(774,plain,
% 1.25/1.44     (P7(a47,a46)),
% 1.25/1.44     inference(scs_inference,[],[90,104,109,97,99,98,96,93,94,92,95,316,641,561,703,548,546,552,710,581,692,298,326,308,310,291,114,113,289,222,277,286,259,260,2,81,80,3,82,84,79])).
% 1.25/1.44  cnf(775,plain,
% 1.25/1.44     (P6(a47,a46)),
% 1.25/1.44     inference(scs_inference,[],[90,104,109,97,99,98,96,93,94,92,95,316,641,561,703,548,546,552,710,581,692,298,326,328,308,310,291,114,113,289,222,277,286,259,260,2,81,80,3,82,84,79,83])).
% 1.25/1.44  cnf(816,plain,
% 1.25/1.44     (~P6(a46,a47)),
% 1.25/1.44     inference(scs_inference,[],[99,97,96,94,95,768,774,775,703,206,193,231,227,222,226])).
% 1.25/1.44  cnf(820,plain,
% 1.25/1.44     (E(a49,a1)),
% 1.25/1.44     inference(scs_inference,[],[91,109,99,97,96,94,93,92,95,768,774,775,703,299,206,193,231,227,222,226,277,2])).
% 1.25/1.44  cnf(827,plain,
% 1.25/1.44     (~E(f4(a49,a49),a46)),
% 1.25/1.44     inference(scs_inference,[],[91,109,99,97,96,94,93,92,95,651,688,673,764,669,696,768,774,775,403,703,299,206,193,231,227,222,226,277,2,81,80,3,82,84,83])).
% 1.25/1.44  cnf(855,plain,
% 1.25/1.44     (~E(a46,a49)),
% 1.25/1.44     inference(scs_inference,[],[97,98,94,92,95,532,827,540,312,768,266,206,231,222,178])).
% 1.25/1.44  cnf(860,plain,
% 1.25/1.44     (E(f4(a47,a50),a1)),
% 1.25/1.44     inference(scs_inference,[],[108,97,98,94,92,95,712,701,649,532,827,702,540,820,312,688,768,266,206,231,222,178,81,80,2,3])).
% 1.25/1.44  cnf(986,plain,
% 1.25/1.44     ($false),
% 1.25/1.44     inference(scs_inference,[],[108,97,98,99,96,94,93,860,855,816,306,768,246,171,131,129,121,184,182,181,126,125,130,128,127,123,122,186,185,183,180,59,58,57,56,51,48,47,44,42,40,38,34,31,29,28,24,23,22,20,18,17,12,11,10,9,6,5,4,175,60,55,54,53,52,50,49,46,45,43,41,39,37,36,35,33,32,30,27,26,25,21,19,16,15,14,13,8,7,227,228,226,209,222]),
% 1.25/1.44     ['proof']).
% 1.25/1.44  % SZS output end Proof
% 1.25/1.44  % Total time :0.730000s
%------------------------------------------------------------------------------