TSTP Solution File: SWC398+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWC398+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 : n021.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 20:18:49 EDT 2023
% Result : Theorem 1.46s 1.53s
% Output : CNFRefutation 1.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC398+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n021.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 14:59:28 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 1.46/1.52 %-------------------------------------------
% 1.46/1.52 % File :CSE---1.6
% 1.46/1.52 % Problem :theBenchmark
% 1.46/1.52 % Transform :cnf
% 1.46/1.52 % Format :tptp:raw
% 1.46/1.52 % Command :java -jar mcs_scs.jar %d %s
% 1.46/1.52
% 1.46/1.52 % Result :Theorem 0.810000s
% 1.46/1.52 % Output :CNFRefutation 0.810000s
% 1.46/1.52 %-------------------------------------------
% 1.46/1.52 %--------------------------------------------------------------------------
% 1.46/1.52 % File : SWC398+1 : TPTP v8.1.2. Released v2.4.0.
% 1.46/1.52 % Domain : Software Creation
% 1.46/1.52 % Problem : cond_subst_x_run_eq_front2
% 1.46/1.52 % Version : [Wei00] axioms.
% 1.46/1.52 % English : Find components in a software library that match a given target
% 1.46/1.52 % specification given in first-order logic. The components are
% 1.46/1.52 % specified in first-order logic as well. The problem represents
% 1.46/1.52 % a test of one library module specification against a target
% 1.46/1.52 % specification.
% 1.46/1.52
% 1.46/1.52 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 1.46/1.52 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 1.46/1.52 % Source : [Wei00]
% 1.46/1.52 % Names : cond_subst_x_run_eq_front2 [Wei00]
% 1.46/1.52
% 1.46/1.52 % Status : Theorem
% 1.46/1.52 % Rating : 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, 0.29 v6.2.0, 0.40 v6.1.0, 0.43 v6.0.0, 0.35 v5.5.0, 0.41 v5.4.0, 0.50 v5.3.0, 0.52 v5.2.0, 0.35 v5.1.0, 0.33 v5.0.0, 0.38 v4.1.0, 0.39 v4.0.0, 0.38 v3.7.0, 0.35 v3.5.0, 0.32 v3.3.0, 0.14 v3.2.0, 0.18 v3.1.0, 0.22 v2.7.0, 0.17 v2.4.0
% 1.46/1.52 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 1.46/1.52 % Number of atoms : 413 ( 78 equ)
% 1.46/1.52 % Maximal formula atoms : 19 ( 4 avg)
% 1.46/1.52 % Number of connectives : 347 ( 30 ~; 15 |; 43 &)
% 1.46/1.52 % ( 26 <=>; 233 =>; 0 <=; 0 <~>)
% 1.46/1.52 % Maximal formula depth : 23 ( 7 avg)
% 1.46/1.52 % Maximal term depth : 4 ( 1 avg)
% 1.46/1.52 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 1.46/1.52 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 1.46/1.52 % Number of variables : 212 ( 196 !; 16 ?)
% 1.46/1.52 % SPC : FOF_THM_RFO_SEQ
% 1.46/1.52
% 1.46/1.52 % Comments :
% 1.46/1.52 %--------------------------------------------------------------------------
% 1.46/1.52 %----Include list specification axioms
% 1.46/1.52 include('Axioms/SWC001+0.ax').
% 1.46/1.52 %--------------------------------------------------------------------------
% 1.46/1.52 fof(co1,conjecture,
% 1.46/1.52 ! [U] :
% 1.46/1.52 ( ssList(U)
% 1.46/1.52 => ! [V] :
% 1.46/1.52 ( ssList(V)
% 1.46/1.52 => ! [W] :
% 1.46/1.52 ( ssList(W)
% 1.46/1.52 => ! [X] :
% 1.46/1.52 ( ssList(X)
% 1.46/1.52 => ( V != X
% 1.46/1.52 | U != W
% 1.46/1.52 | ! [Y] :
% 1.46/1.52 ( ssList(Y)
% 1.46/1.52 => ( app(W,Y) != X
% 1.46/1.52 | ~ equalelemsP(W)
% 1.46/1.52 | ? [Z] :
% 1.46/1.52 ( ssItem(Z)
% 1.46/1.52 & ? [X1] :
% 1.46/1.52 ( ssList(X1)
% 1.46/1.52 & app(cons(Z,nil),X1) = Y
% 1.46/1.52 & ? [X2] :
% 1.46/1.52 ( ssList(X2)
% 1.46/1.52 & app(X2,cons(Z,nil)) = W ) ) ) ) )
% 1.46/1.52 | ! [X3] :
% 1.46/1.53 ( ssItem(X3)
% 1.46/1.53 => ( ~ memberP(U,X3)
% 1.46/1.53 | memberP(V,X3) ) )
% 1.46/1.53 | ( nil != X
% 1.46/1.53 & nil = W ) ) ) ) ) ) ).
% 1.46/1.53
% 1.46/1.53 %--------------------------------------------------------------------------
% 1.46/1.53 %-------------------------------------------
% 1.46/1.53 % Proof found
% 1.46/1.53 % SZS status Theorem for theBenchmark
% 1.46/1.53 % SZS output start Proof
% 1.46/1.53 %ClaNum:290(EqnAxiom:88)
% 1.46/1.53 %VarNum:1015(SingletonVarNum:330)
% 1.46/1.53 %MaxLitNum:10
% 1.46/1.53 %MaxfuncDepth:4
% 1.46/1.53 %SharedTerms:36
% 1.46/1.53 %goalClause: 89 90 93 95 96 97 98 99 107 108 109 112 113 272
% 1.46/1.53 %singleGoalClaCount:12
% 1.46/1.53 [89]E(a1,a2)
% 1.46/1.53 [90]E(a46,a48)
% 1.46/1.53 [91]P1(a3)
% 1.46/1.53 [92]P1(a16)
% 1.46/1.53 [93]P1(a49)
% 1.46/1.53 [94]P15(a51)
% 1.46/1.53 [95]P15(a2)
% 1.46/1.53 [96]P15(a46)
% 1.46/1.53 [97]P15(a1)
% 1.46/1.53 [98]P15(a48)
% 1.46/1.53 [99]P15(a50)
% 1.46/1.53 [100]P2(a51)
% 1.46/1.53 [101]P16(a51)
% 1.46/1.53 [102]P17(a51)
% 1.46/1.53 [103]P19(a51)
% 1.46/1.53 [104]P18(a51)
% 1.46/1.53 [105]P3(a51)
% 1.46/1.53 [106]P4(a51)
% 1.46/1.53 [107]P4(a1)
% 1.46/1.53 [109]P5(a2,a49)
% 1.46/1.53 [110]~E(a16,a3)
% 1.46/1.53 [111]~P11(a51)
% 1.46/1.53 [112]~P5(a46,a49)
% 1.46/1.53 [108]E(f4(a1,a50),a48)
% 1.46/1.53 [113]E(a51,a48)+~E(a1,a51)
% 1.46/1.53 [122]~P15(x1221)+P6(x1221,a51)
% 1.46/1.53 [123]~P15(x1231)+P12(x1231,a51)
% 1.46/1.53 [124]~P15(x1241)+P14(x1241,a51)
% 1.46/1.53 [128]~P15(x1281)+P6(x1281,x1281)
% 1.46/1.53 [129]~P15(x1291)+P12(x1291,x1291)
% 1.46/1.53 [130]~P15(x1301)+P14(x1301,x1301)
% 1.46/1.53 [131]~P1(x1311)+P7(x1311,x1311)
% 1.46/1.53 [132]~P1(x1321)+P8(x1321,x1321)
% 1.46/1.53 [172]~P1(x1721)+~P5(a51,x1721)
% 1.46/1.53 [176]~P10(x1761,x1761)+~P1(x1761)
% 1.46/1.53 [126]~P15(x1261)+E(f4(x1261,a51),x1261)
% 1.46/1.53 [127]~P15(x1271)+E(f4(a51,x1271),x1271)
% 1.46/1.53 [181]~P1(x1811)+P2(f6(x1811,a51))
% 1.46/1.53 [182]~P1(x1821)+P16(f6(x1821,a51))
% 1.46/1.53 [183]~P1(x1831)+P17(f6(x1831,a51))
% 1.46/1.53 [184]~P1(x1841)+P19(f6(x1841,a51))
% 1.46/1.53 [185]~P1(x1851)+P18(f6(x1851,a51))
% 1.46/1.53 [186]~P1(x1861)+P3(f6(x1861,a51))
% 1.46/1.53 [187]~P1(x1871)+P4(f6(x1871,a51))
% 1.46/1.53 [167]~P15(x1671)+~E(a51,x1671)+P6(a51,x1671)
% 1.46/1.53 [168]~P15(x1681)+~E(a51,x1681)+P12(a51,x1681)
% 1.46/1.53 [169]~P15(x1691)+~E(a51,x1691)+P14(a51,x1691)
% 1.46/1.53 [173]~P15(x1731)+~P6(a51,x1731)+E(a51,x1731)
% 1.46/1.53 [174]~P15(x1741)+~P12(a51,x1741)+E(a51,x1741)
% 1.46/1.53 [175]~P15(x1751)+~P14(a51,x1751)+E(a51,x1751)
% 1.46/1.53 [114]~P15(x1141)+E(f52(x1141),f27(x1141))+E(a51,x1141)
% 1.46/1.53 [115]~P15(x1151)+E(f58(x1151),f45(x1151))+E(a51,x1151)
% 1.46/1.53 [116]~P15(x1161)+E(a51,x1161)+P1(f52(x1161))
% 1.46/1.53 [117]~P15(x1171)+E(a51,x1171)+P1(f28(x1171))
% 1.46/1.53 [118]~P15(x1181)+E(a51,x1181)+P1(f27(x1181))
% 1.46/1.53 [119]~P15(x1191)+E(a51,x1191)+P15(f58(x1191))
% 1.46/1.53 [120]~P15(x1201)+E(a51,x1201)+P15(f29(x1201))
% 1.46/1.53 [121]~P15(x1211)+E(a51,x1211)+P15(f45(x1211))
% 1.46/1.53 [125]P3(x1251)+~P15(x1251)+E(f30(x1251),f36(x1251))
% 1.46/1.53 [133]~P15(x1331)+P2(x1331)+P1(f5(x1331))
% 1.46/1.53 [134]~P15(x1341)+P2(x1341)+P1(f7(x1341))
% 1.46/1.53 [135]~P15(x1351)+P2(x1351)+P15(f8(x1351))
% 1.46/1.53 [136]~P15(x1361)+P2(x1361)+P15(f9(x1361))
% 1.46/1.53 [137]~P15(x1371)+P2(x1371)+P15(f10(x1371))
% 1.46/1.53 [138]~P15(x1381)+P16(x1381)+P1(f11(x1381))
% 1.46/1.53 [139]~P15(x1391)+P16(x1391)+P1(f12(x1391))
% 1.46/1.53 [140]~P15(x1401)+P16(x1401)+P15(f13(x1401))
% 1.46/1.53 [141]~P15(x1411)+P16(x1411)+P15(f14(x1411))
% 1.46/1.53 [142]~P15(x1421)+P16(x1421)+P15(f15(x1421))
% 1.46/1.53 [143]~P15(x1431)+P17(x1431)+P1(f17(x1431))
% 1.46/1.53 [144]~P15(x1441)+P17(x1441)+P1(f18(x1441))
% 1.46/1.53 [145]~P15(x1451)+P17(x1451)+P15(f19(x1451))
% 1.46/1.53 [146]~P15(x1461)+P17(x1461)+P15(f20(x1461))
% 1.46/1.53 [147]~P15(x1471)+P17(x1471)+P15(f21(x1471))
% 1.46/1.53 [148]~P15(x1481)+P19(x1481)+P1(f22(x1481))
% 1.46/1.53 [149]~P15(x1491)+P19(x1491)+P1(f23(x1491))
% 1.46/1.53 [150]~P15(x1501)+P19(x1501)+P15(f24(x1501))
% 1.46/1.53 [151]~P15(x1511)+P19(x1511)+P15(f25(x1511))
% 1.46/1.53 [152]~P15(x1521)+P19(x1521)+P15(f26(x1521))
% 1.46/1.53 [153]~P15(x1531)+P18(x1531)+P1(f31(x1531))
% 1.46/1.53 [154]~P15(x1541)+P18(x1541)+P1(f32(x1541))
% 1.46/1.53 [155]~P15(x1551)+P18(x1551)+P15(f33(x1551))
% 1.46/1.53 [156]~P15(x1561)+P18(x1561)+P15(f34(x1561))
% 1.46/1.53 [157]~P15(x1571)+P18(x1571)+P15(f35(x1571))
% 1.46/1.53 [158]~P15(x1581)+P3(x1581)+P1(f30(x1581))
% 1.46/1.53 [159]~P15(x1591)+P3(x1591)+P1(f36(x1591))
% 1.46/1.53 [160]~P15(x1601)+P3(x1601)+P15(f37(x1601))
% 1.46/1.53 [161]~P15(x1611)+P3(x1611)+P15(f38(x1611))
% 1.46/1.53 [162]~P15(x1621)+P3(x1621)+P15(f39(x1621))
% 1.46/1.53 [163]~P15(x1631)+P4(x1631)+P1(f40(x1631))
% 1.46/1.53 [164]~P15(x1641)+P4(x1641)+P1(f42(x1641))
% 1.46/1.53 [165]~P15(x1651)+P4(x1651)+P15(f43(x1651))
% 1.46/1.53 [166]~P15(x1661)+P4(x1661)+P15(f44(x1661))
% 1.46/1.53 [170]~P15(x1701)+P4(x1701)+~E(f42(x1701),f40(x1701))
% 1.46/1.53 [171]~P15(x1711)+~P11(x1711)+P1(f53(x1711))
% 1.46/1.53 [192]~P15(x1921)+P2(x1921)+P7(f5(x1921),f7(x1921))
% 1.46/1.53 [193]~P15(x1931)+P2(x1931)+P7(f7(x1931),f5(x1931))
% 1.46/1.53 [213]~P15(x2131)+P16(x2131)+~P7(f11(x2131),f12(x2131))
% 1.46/1.53 [214]~P15(x2141)+P16(x2141)+~P7(f12(x2141),f11(x2141))
% 1.46/1.53 [215]~P15(x2151)+P17(x2151)+~P10(f17(x2151),f18(x2151))
% 1.46/1.53 [216]~P15(x2161)+P17(x2161)+~P10(f18(x2161),f17(x2161))
% 1.46/1.53 [217]~P15(x2171)+P19(x2171)+~P7(f22(x2171),f23(x2171))
% 1.46/1.53 [218]~P15(x2181)+P18(x2181)+~P10(f31(x2181),f32(x2181))
% 1.46/1.53 [180]~P15(x1801)+~P11(x1801)+E(f6(f53(x1801),a51),x1801)
% 1.46/1.53 [188]~P15(x1881)+E(a51,x1881)+E(f6(f52(x1881),f58(x1881)),x1881)
% 1.46/1.53 [189]~P15(x1891)+E(a51,x1891)+E(f6(f28(x1891),f29(x1891)),x1891)
% 1.46/1.53 [279]P2(x2791)+~P15(x2791)+E(f4(f4(f8(x2791),f6(f5(x2791),f9(x2791))),f6(f7(x2791),f10(x2791))),x2791)
% 1.46/1.53 [280]P16(x2801)+~P15(x2801)+E(f4(f4(f13(x2801),f6(f11(x2801),f14(x2801))),f6(f12(x2801),f15(x2801))),x2801)
% 1.46/1.53 [281]P17(x2811)+~P15(x2811)+E(f4(f4(f19(x2811),f6(f17(x2811),f20(x2811))),f6(f18(x2811),f21(x2811))),x2811)
% 1.46/1.53 [282]P19(x2821)+~P15(x2821)+E(f4(f4(f24(x2821),f6(f22(x2821),f25(x2821))),f6(f23(x2821),f26(x2821))),x2821)
% 1.46/1.53 [283]P18(x2831)+~P15(x2831)+E(f4(f4(f33(x2831),f6(f31(x2831),f34(x2831))),f6(f32(x2831),f35(x2831))),x2831)
% 1.46/1.53 [284]P3(x2841)+~P15(x2841)+E(f4(f4(f37(x2841),f6(f30(x2841),f38(x2841))),f6(f36(x2841),f39(x2841))),x2841)
% 1.46/1.53 [277]P4(x2771)+~P15(x2771)+E(f4(f43(x2771),f6(f40(x2771),f6(f42(x2771),f44(x2771)))),x2771)
% 1.46/1.53 [190]~P1(x1901)+~P15(x1902)+~E(f6(x1901,x1902),a51)
% 1.46/1.53 [191]~P1(x1911)+~P15(x1912)+~E(f6(x1911,x1912),x1912)
% 1.46/1.53 [200]~P1(x2001)+~P15(x2002)+P15(f6(x2001,x2002))
% 1.46/1.53 [201]~P15(x2012)+~P15(x2011)+P15(f4(x2011,x2012))
% 1.46/1.53 [202]~P1(x2021)+~P15(x2022)+E(f52(f6(x2021,x2022)),x2021)
% 1.46/1.53 [203]~P1(x2031)+~P15(x2032)+E(f58(f6(x2031,x2032)),x2032)
% 1.46/1.53 [230]~P1(x2301)+~P15(x2302)+E(f4(f6(x2301,a51),x2302),f6(x2301,x2302))
% 1.46/1.53 [177]P13(x1771,x1772)+~P1(x1772)+~P1(x1771)+E(x1771,x1772)
% 1.46/1.53 [178]P13(x1781,x1782)+~P15(x1782)+~P15(x1781)+E(x1781,x1782)
% 1.46/1.53 [197]~P1(x1972)+~P1(x1971)+~P13(x1971,x1972)+~E(x1971,x1972)
% 1.46/1.53 [198]~P1(x1982)+~P1(x1981)+~P10(x1981,x1982)+~E(x1981,x1982)
% 1.46/1.53 [199]~P15(x1992)+~P15(x1991)+~P13(x1991,x1992)+~E(x1991,x1992)
% 1.46/1.53 [208]~P1(x2081)+~P1(x2082)+~P8(x2082,x2081)+P7(x2081,x2082)
% 1.46/1.53 [209]~P1(x2092)+~P1(x2091)+~P10(x2091,x2092)+P7(x2091,x2092)
% 1.46/1.53 [210]~P1(x2101)+~P1(x2102)+~P9(x2102,x2101)+P10(x2101,x2102)
% 1.46/1.53 [211]~P1(x2111)+~P1(x2112)+~P7(x2112,x2111)+P8(x2111,x2112)
% 1.46/1.53 [212]~P1(x2121)+~P1(x2122)+~P10(x2122,x2121)+P9(x2121,x2122)
% 1.46/1.53 [221]~P10(x2211,x2212)+~P10(x2212,x2211)+~P1(x2211)+~P1(x2212)
% 1.46/1.53 [222]~P9(x2221,x2222)+~P9(x2222,x2221)+~P1(x2221)+~P1(x2222)
% 1.46/1.53 [194]~P15(x1942)+~P15(x1941)+E(a51,x1941)+~E(f4(x1942,x1941),a51)
% 1.46/1.53 [195]~P15(x1952)+~P15(x1951)+E(a51,x1951)+~E(f4(x1951,x1952),a51)
% 1.46/1.53 [196]~P1(x1962)+~P15(x1961)+P11(x1961)+~E(f6(x1962,a51),x1961)
% 1.46/1.53 [205]~P1(x2051)+~P15(x2052)+~E(a51,x2052)+P19(f6(x2051,x2052))
% 1.46/1.53 [206]~P1(x2061)+~P15(x2062)+~E(a51,x2062)+P18(f6(x2061,x2062))
% 1.46/1.53 [233]~P1(x2332)+~P15(x2331)+~P5(x2331,x2332)+P15(f41(x2331,x2332))
% 1.46/1.53 [234]~P1(x2342)+~P15(x2341)+~P5(x2341,x2342)+P15(f47(x2341,x2342))
% 1.46/1.53 [235]~P15(x2352)+~P15(x2351)+~P6(x2351,x2352)+P15(f54(x2351,x2352))
% 1.46/1.53 [236]~P15(x2362)+~P15(x2361)+~P12(x2361,x2362)+P15(f55(x2361,x2362))
% 1.46/1.53 [237]~P15(x2372)+~P15(x2371)+~P14(x2371,x2372)+P15(f56(x2371,x2372))
% 1.46/1.53 [238]~P15(x2382)+~P15(x2381)+~P14(x2381,x2382)+P15(f57(x2381,x2382))
% 1.46/1.53 [207]~P15(x2072)+~P15(x2071)+E(a51,x2071)+E(f52(f4(x2071,x2072)),f52(x2071))
% 1.46/1.53 [232]~P15(x2322)+~P15(x2321)+E(a51,x2321)+E(f58(f4(x2321,x2322)),f4(f58(x2321),x2322))
% 1.46/1.53 [245]~P15(x2452)+~P15(x2451)+~P6(x2452,x2451)+E(f4(x2451,f54(x2452,x2451)),x2452)
% 1.46/1.53 [246]~P15(x2462)+~P15(x2461)+~P12(x2461,x2462)+E(f4(f55(x2461,x2462),x2462),x2461)
% 1.46/1.53 [276]~P15(x2762)+~P15(x2761)+~P14(x2761,x2762)+E(f4(f4(f56(x2761,x2762),x2762),f57(x2761,x2762)),x2761)
% 1.46/1.53 [275]~P1(x2752)+~P15(x2751)+~P5(x2751,x2752)+E(f4(f41(x2751,x2752),f6(x2752,f47(x2751,x2752))),x2751)
% 1.46/1.53 [264]~P1(x2641)+~P15(x2642)+~P15(x2643)+E(f6(x2641,f4(x2642,x2643)),f4(f6(x2641,x2642),x2643))
% 1.46/1.53 [265]~P15(x2653)+~P15(x2652)+~P15(x2651)+E(f4(f4(x2651,x2652),x2653),f4(x2651,f4(x2652,x2653)))
% 1.46/1.53 [220]P10(x2201,x2202)+~P1(x2202)+~P1(x2201)+~P7(x2201,x2202)+E(x2201,x2202)
% 1.46/1.53 [225]~P1(x2252)+~P1(x2251)+~P7(x2252,x2251)+~P7(x2251,x2252)+E(x2251,x2252)
% 1.46/1.53 [226]~P1(x2262)+~P1(x2261)+~P8(x2262,x2261)+~P8(x2261,x2262)+E(x2261,x2262)
% 1.46/1.53 [227]~P15(x2272)+~P15(x2271)+~P6(x2272,x2271)+~P6(x2271,x2272)+E(x2271,x2272)
% 1.46/1.53 [228]~P15(x2282)+~P15(x2281)+~P12(x2282,x2281)+~P12(x2281,x2282)+E(x2281,x2282)
% 1.46/1.53 [229]~P15(x2292)+~P15(x2291)+~P14(x2292,x2291)+~P14(x2291,x2292)+E(x2291,x2292)
% 1.46/1.53 [179]~P15(x1791)+~P15(x1792)+~E(a51,x1791)+~E(a51,x1792)+E(f4(x1791,x1792),a51)
% 1.46/1.53 [241]P19(x2411)+~P15(x2411)+~P1(x2412)+E(a51,x2411)+~P19(f6(x2412,x2411))
% 1.46/1.53 [242]P18(x2421)+~P15(x2421)+~P1(x2422)+E(a51,x2421)+~P18(f6(x2422,x2421))
% 1.46/1.53 [255]~P1(x2552)+~P15(x2551)+E(a51,x2551)+P7(x2552,f52(x2551))+~P19(f6(x2552,x2551))
% 1.46/1.53 [256]~P1(x2562)+~P15(x2561)+E(a51,x2561)+P10(x2562,f52(x2561))+~P18(f6(x2562,x2561))
% 1.46/1.53 [223]~P15(x2231)+~P15(x2232)+~P15(x2233)+P6(x2231,x2232)+~E(f4(x2232,x2233),x2231)
% 1.46/1.53 [224]~P15(x2241)+~P15(x2242)+~P15(x2243)+P12(x2241,x2242)+~E(f4(x2243,x2242),x2241)
% 1.46/1.53 [231]~E(x2313,x2311)+~P1(x2311)+~P1(x2313)+~P15(x2312)+P5(f6(x2311,x2312),x2313)
% 1.46/1.53 [239]~P15(x2392)+~P15(x2393)+~P15(x2391)+E(x2391,x2392)+~E(f4(x2393,x2391),f4(x2393,x2392))
% 1.46/1.53 [240]~P15(x2402)+~P15(x2403)+~P15(x2401)+E(x2401,x2402)+~E(f4(x2401,x2403),f4(x2402,x2403))
% 1.46/1.53 [257]~P1(x2571)+~P1(x2573)+~P15(x2572)+~P5(x2572,x2573)+P5(f6(x2571,x2572),x2573)
% 1.46/1.53 [258]~P1(x2583)+~P15(x2581)+~P15(x2582)+~P5(x2582,x2583)+P5(f4(x2581,x2582),x2583)
% 1.46/1.53 [259]~P1(x2593)+~P15(x2592)+~P15(x2591)+~P5(x2591,x2593)+P5(f4(x2591,x2592),x2593)
% 1.46/1.53 [260]~P15(x2602)+~P15(x2603)+~P15(x2601)+~P6(x2601,x2603)+P6(f4(x2601,x2602),x2603)
% 1.46/1.53 [261]~P15(x2611)+~P15(x2613)+~P15(x2612)+~P12(x2612,x2613)+P12(f4(x2611,x2612),x2613)
% 1.46/1.53 [272]~P1(x2722)+~P15(x2721)+~P15(x2723)+~E(f4(f6(x2722,a51),x2723),a50)+~E(f4(x2721,f6(x2722,a51)),a1)
% 1.46/1.53 [262]~P1(x2622)+~P15(x2621)+~P19(x2621)+~P7(x2622,f52(x2621))+E(a51,x2621)+P19(f6(x2622,x2621))
% 1.46/1.53 [263]~P1(x2632)+~P15(x2631)+~P18(x2631)+~P10(x2632,f52(x2631))+E(a51,x2631)+P18(f6(x2632,x2631))
% 1.46/1.53 [247]~P15(x2472)+~P15(x2471)+~P6(x2473,x2472)+~P6(x2471,x2473)+P6(x2471,x2472)+~P15(x2473)
% 1.46/1.53 [248]~P15(x2482)+~P15(x2481)+~P12(x2483,x2482)+~P12(x2481,x2483)+P12(x2481,x2482)+~P15(x2483)
% 1.46/1.53 [249]~P15(x2492)+~P15(x2491)+~P14(x2493,x2492)+~P14(x2491,x2493)+P14(x2491,x2492)+~P15(x2493)
% 1.46/1.53 [250]~P1(x2502)+~P1(x2501)+~P7(x2503,x2502)+~P7(x2501,x2503)+P7(x2501,x2502)+~P1(x2503)
% 1.46/1.53 [251]~P1(x2512)+~P1(x2511)+~P7(x2511,x2513)+~P10(x2513,x2512)+P10(x2511,x2512)+~P1(x2513)
% 1.46/1.53 [252]~P1(x2522)+~P1(x2521)+~P10(x2523,x2522)+~P10(x2521,x2523)+P10(x2521,x2522)+~P1(x2523)
% 1.46/1.53 [253]~P1(x2532)+~P1(x2531)+~P8(x2533,x2532)+~P8(x2531,x2533)+P8(x2531,x2532)+~P1(x2533)
% 1.46/1.53 [254]~P1(x2542)+~P1(x2541)+~P9(x2543,x2542)+~P9(x2541,x2543)+P9(x2541,x2542)+~P1(x2543)
% 1.46/1.53 [266]~P1(x2662)+~P1(x2661)+~P15(x2663)+E(x2661,x2662)+P5(x2663,x2662)+~P5(f6(x2661,x2663),x2662)
% 1.46/1.53 [269]~P1(x2692)+~P15(x2691)+~P15(x2693)+P5(x2691,x2692)+P5(x2693,x2692)+~P5(f4(x2693,x2691),x2692)
% 1.46/1.53 [243]~P1(x2434)+~P1(x2433)+~P15(x2432)+~P15(x2431)+E(x2431,x2432)+~E(f6(x2433,x2432),f6(x2434,x2431))
% 1.46/1.53 [244]~P1(x2442)+~P1(x2441)+~P15(x2444)+~P15(x2443)+E(x2441,x2442)+~E(f6(x2441,x2443),f6(x2442,x2444))
% 1.46/1.53 [271]~P1(x2712)+~P1(x2711)+E(x2711,x2712)+~P15(x2713)+~P15(x2714)+~P6(f6(x2711,x2714),f6(x2712,x2713))
% 1.46/1.53 [274]~P15(x2742)+~P15(x2741)+P6(x2741,x2742)+~P1(x2743)+~P1(x2744)+~P6(f6(x2744,x2741),f6(x2743,x2742))
% 1.46/1.53 [267]~P1(x2672)+~P15(x2671)+~P15(x2674)+~P15(x2673)+P5(x2671,x2672)+~E(f4(x2673,f6(x2672,x2674)),x2671)
% 1.46/1.53 [268]~P15(x2681)+~P15(x2682)+~P15(x2684)+~P15(x2683)+P14(x2681,x2682)+~E(f4(f4(x2683,x2682),x2684),x2681)
% 1.46/1.53 [273]~P15(x2733)+~P15(x2731)+~P15(x2734)+~P15(x2732)+~P14(x2732,x2734)+P14(f4(f4(x2731,x2732),x2733),x2734)
% 1.46/1.53 [204]~P15(x2042)+~P15(x2041)+E(x2041,x2042)+E(a51,x2042)+E(a51,x2041)+~E(f52(x2041),f52(x2042))+~E(f58(x2041),f58(x2042))
% 1.46/1.53 [270]~E(x2701,x2703)+~P1(x2703)+~P1(x2701)+~P15(x2704)+~P15(x2702)+~P6(x2702,x2704)+P6(f6(x2701,x2702),f6(x2703,x2704))
% 1.46/1.53 [278]~P1(x2782)+~P1(x2781)+~P15(x2784)+~P15(x2783)+~P15(x2785)+~P4(x2785)+E(x2781,x2782)+~E(f4(x2783,f6(x2781,f6(x2782,x2784))),x2785)
% 1.46/1.53 [285]~P1(x2852)+~P1(x2851)+~P15(x2855)+~P15(x2854)+~P15(x2853)+~P15(x2856)+~P3(x2856)+~E(x2851,x2852)+~E(f4(f4(x2853,f6(x2851,x2854)),f6(x2852,x2855)),x2856)
% 1.46/1.53 [286]~P1(x2862)+~P1(x2861)+~P15(x2865)+~P15(x2864)+~P15(x2863)+~P15(x2866)+~P19(x2866)+P7(x2861,x2862)+~E(f4(f4(x2863,f6(x2861,x2864)),f6(x2862,x2865)),x2866)
% 1.46/1.53 [287]~P1(x2872)+~P1(x2871)+~P15(x2875)+~P15(x2874)+~P15(x2873)+~P15(x2876)+~P18(x2876)+P10(x2871,x2872)+~E(f4(f4(x2873,f6(x2871,x2874)),f6(x2872,x2875)),x2876)
% 1.46/1.53 [288]P7(x2882,x2881)+~P1(x2881)+~P1(x2882)+~P15(x2885)+~P15(x2884)+~P15(x2883)+~P15(x2886)+~P16(x2886)+P7(x2881,x2882)+~E(f4(f4(x2883,f6(x2882,x2884)),f6(x2881,x2885)),x2886)
% 1.46/1.53 [289]P10(x2892,x2891)+~P1(x2891)+~P1(x2892)+~P15(x2895)+~P15(x2894)+~P15(x2893)+~P15(x2896)+~P17(x2896)+P10(x2891,x2892)+~E(f4(f4(x2893,f6(x2892,x2894)),f6(x2891,x2895)),x2896)
% 1.46/1.53 [290]~P1(x2904)+~P1(x2902)+~P15(x2905)+~P15(x2903)+~P15(x2901)+~P15(x2906)+~P2(x2906)+~P7(x2904,x2902)+~P7(x2902,x2904)+~E(f4(f4(x2901,f6(x2902,x2903)),f6(x2904,x2905)),x2906)
% 1.46/1.53 %EqnAxiom
% 1.46/1.53 [1]E(x11,x11)
% 1.46/1.53 [2]E(x22,x21)+~E(x21,x22)
% 1.46/1.53 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.46/1.53 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 1.46/1.53 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 1.46/1.53 [6]~E(x61,x62)+E(f52(x61),f52(x62))
% 1.46/1.53 [7]~E(x71,x72)+E(f27(x71),f27(x72))
% 1.46/1.54 [8]~E(x81,x82)+E(f58(x81),f58(x82))
% 1.46/1.54 [9]~E(x91,x92)+E(f45(x91),f45(x92))
% 1.46/1.54 [10]~E(x101,x102)+E(f6(x101,x103),f6(x102,x103))
% 1.46/1.54 [11]~E(x111,x112)+E(f6(x113,x111),f6(x113,x112))
% 1.46/1.54 [12]~E(x121,x122)+E(f28(x121),f28(x122))
% 1.46/1.54 [13]~E(x131,x132)+E(f5(x131),f5(x132))
% 1.46/1.54 [14]~E(x141,x142)+E(f8(x141),f8(x142))
% 1.46/1.54 [15]~E(x151,x152)+E(f29(x151),f29(x152))
% 1.46/1.54 [16]~E(x161,x162)+E(f44(x161),f44(x162))
% 1.46/1.54 [17]~E(x171,x172)+E(f30(x171),f30(x172))
% 1.46/1.54 [18]~E(x181,x182)+E(f36(x181),f36(x182))
% 1.46/1.54 [19]~E(x191,x192)+E(f42(x191),f42(x192))
% 1.46/1.54 [20]~E(x201,x202)+E(f40(x201),f40(x202))
% 1.46/1.54 [21]~E(x211,x212)+E(f47(x211,x213),f47(x212,x213))
% 1.46/1.54 [22]~E(x221,x222)+E(f47(x223,x221),f47(x223,x222))
% 1.46/1.54 [23]~E(x231,x232)+E(f7(x231),f7(x232))
% 1.46/1.54 [24]~E(x241,x242)+E(f56(x241,x243),f56(x242,x243))
% 1.46/1.54 [25]~E(x251,x252)+E(f56(x253,x251),f56(x253,x252))
% 1.46/1.54 [26]~E(x261,x262)+E(f9(x261),f9(x262))
% 1.46/1.54 [27]~E(x271,x272)+E(f10(x271),f10(x272))
% 1.46/1.54 [28]~E(x281,x282)+E(f11(x281),f11(x282))
% 1.46/1.54 [29]~E(x291,x292)+E(f12(x291),f12(x292))
% 1.46/1.54 [30]~E(x301,x302)+E(f13(x301),f13(x302))
% 1.46/1.54 [31]~E(x311,x312)+E(f14(x311),f14(x312))
% 1.46/1.54 [32]~E(x321,x322)+E(f15(x321),f15(x322))
% 1.46/1.54 [33]~E(x331,x332)+E(f17(x331),f17(x332))
% 1.46/1.54 [34]~E(x341,x342)+E(f18(x341),f18(x342))
% 1.46/1.54 [35]~E(x351,x352)+E(f19(x351),f19(x352))
% 1.46/1.54 [36]~E(x361,x362)+E(f20(x361),f20(x362))
% 1.46/1.54 [37]~E(x371,x372)+E(f21(x371),f21(x372))
% 1.46/1.54 [38]~E(x381,x382)+E(f22(x381),f22(x382))
% 1.46/1.54 [39]~E(x391,x392)+E(f23(x391),f23(x392))
% 1.46/1.54 [40]~E(x401,x402)+E(f24(x401),f24(x402))
% 1.46/1.54 [41]~E(x411,x412)+E(f25(x411),f25(x412))
% 1.46/1.54 [42]~E(x421,x422)+E(f26(x421),f26(x422))
% 1.46/1.54 [43]~E(x431,x432)+E(f31(x431),f31(x432))
% 1.46/1.54 [44]~E(x441,x442)+E(f32(x441),f32(x442))
% 1.46/1.54 [45]~E(x451,x452)+E(f33(x451),f33(x452))
% 1.46/1.54 [46]~E(x461,x462)+E(f34(x461),f34(x462))
% 1.46/1.54 [47]~E(x471,x472)+E(f35(x471),f35(x472))
% 1.46/1.54 [48]~E(x481,x482)+E(f54(x481,x483),f54(x482,x483))
% 1.46/1.54 [49]~E(x491,x492)+E(f54(x493,x491),f54(x493,x492))
% 1.46/1.54 [50]~E(x501,x502)+E(f41(x501,x503),f41(x502,x503))
% 1.46/1.54 [51]~E(x511,x512)+E(f41(x513,x511),f41(x513,x512))
% 1.46/1.54 [52]~E(x521,x522)+E(f37(x521),f37(x522))
% 1.46/1.54 [53]~E(x531,x532)+E(f38(x531),f38(x532))
% 1.46/1.54 [54]~E(x541,x542)+E(f39(x541),f39(x542))
% 1.46/1.54 [55]~E(x551,x552)+E(f57(x551,x553),f57(x552,x553))
% 1.46/1.54 [56]~E(x561,x562)+E(f57(x563,x561),f57(x563,x562))
% 1.46/1.54 [57]~E(x571,x572)+E(f55(x571,x573),f55(x572,x573))
% 1.46/1.54 [58]~E(x581,x582)+E(f55(x583,x581),f55(x583,x582))
% 1.46/1.54 [59]~E(x591,x592)+E(f43(x591),f43(x592))
% 1.46/1.54 [60]~E(x601,x602)+E(f53(x601),f53(x602))
% 1.46/1.54 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 1.46/1.54 [62]P7(x622,x623)+~E(x621,x622)+~P7(x621,x623)
% 1.46/1.54 [63]P7(x633,x632)+~E(x631,x632)+~P7(x633,x631)
% 1.46/1.54 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 1.46/1.54 [65]P5(x652,x653)+~E(x651,x652)+~P5(x651,x653)
% 1.46/1.54 [66]P5(x663,x662)+~E(x661,x662)+~P5(x663,x661)
% 1.46/1.54 [67]~P4(x671)+P4(x672)+~E(x671,x672)
% 1.46/1.54 [68]~P3(x681)+P3(x682)+~E(x681,x682)
% 1.46/1.54 [69]P12(x692,x693)+~E(x691,x692)+~P12(x691,x693)
% 1.46/1.54 [70]P12(x703,x702)+~E(x701,x702)+~P12(x703,x701)
% 1.46/1.54 [71]~P2(x711)+P2(x712)+~E(x711,x712)
% 1.46/1.54 [72]~P18(x721)+P18(x722)+~E(x721,x722)
% 1.46/1.54 [73]P10(x732,x733)+~E(x731,x732)+~P10(x731,x733)
% 1.46/1.54 [74]P10(x743,x742)+~E(x741,x742)+~P10(x743,x741)
% 1.46/1.54 [75]~P16(x751)+P16(x752)+~E(x751,x752)
% 1.46/1.54 [76]~P17(x761)+P17(x762)+~E(x761,x762)
% 1.46/1.54 [77]~P19(x771)+P19(x772)+~E(x771,x772)
% 1.46/1.54 [78]P6(x782,x783)+~E(x781,x782)+~P6(x781,x783)
% 1.46/1.54 [79]P6(x793,x792)+~E(x791,x792)+~P6(x793,x791)
% 1.46/1.54 [80]P14(x802,x803)+~E(x801,x802)+~P14(x801,x803)
% 1.46/1.54 [81]P14(x813,x812)+~E(x811,x812)+~P14(x813,x811)
% 1.46/1.54 [82]P13(x822,x823)+~E(x821,x822)+~P13(x821,x823)
% 1.46/1.54 [83]P13(x833,x832)+~E(x831,x832)+~P13(x833,x831)
% 1.46/1.54 [84]~P11(x841)+P11(x842)+~E(x841,x842)
% 1.46/1.54 [85]P8(x852,x853)+~E(x851,x852)+~P8(x851,x853)
% 1.46/1.54 [86]P8(x863,x862)+~E(x861,x862)+~P8(x863,x861)
% 1.46/1.54 [87]P9(x872,x873)+~E(x871,x872)+~P9(x871,x873)
% 1.46/1.54 [88]P9(x883,x882)+~E(x881,x882)+~P9(x883,x881)
% 1.46/1.54
% 1.46/1.54 %-------------------------------------------
% 1.46/1.54 cnf(291,plain,
% 1.46/1.54 (E(a2,a1)),
% 1.46/1.54 inference(scs_inference,[],[89,2])).
% 1.46/1.54 cnf(295,plain,
% 1.46/1.54 (~E(a2,a46)),
% 1.46/1.54 inference(scs_inference,[],[89,93,107,109,112,2,176,67,65])).
% 1.46/1.54 cnf(296,plain,
% 1.46/1.54 (P12(a48,a50)),
% 1.46/1.54 inference(scs_inference,[],[89,93,97,98,99,107,109,112,108,2,176,67,65,224])).
% 1.46/1.54 cnf(298,plain,
% 1.46/1.54 (P6(a48,a1)),
% 1.46/1.54 inference(scs_inference,[],[89,93,97,98,99,107,109,112,108,2,176,67,65,224,223])).
% 1.46/1.54 cnf(300,plain,
% 1.46/1.54 (~P5(a51,a49)),
% 1.46/1.54 inference(scs_inference,[],[89,93,97,98,99,107,109,112,108,2,176,67,65,224,223,172])).
% 1.46/1.54 cnf(304,plain,
% 1.46/1.54 (P7(a49,a49)),
% 1.46/1.54 inference(scs_inference,[],[89,93,97,98,99,107,109,112,108,2,176,67,65,224,223,172,132,131])).
% 1.46/1.54 cnf(306,plain,
% 1.46/1.54 (P14(a2,a2)),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,97,98,99,107,109,112,108,2,176,67,65,224,223,172,132,131,130])).
% 1.46/1.54 cnf(308,plain,
% 1.46/1.54 (P12(a2,a2)),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,97,98,99,107,109,112,108,2,176,67,65,224,223,172,132,131,130,129])).
% 1.46/1.54 cnf(310,plain,
% 1.46/1.54 (P6(a2,a2)),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,97,98,99,107,109,112,108,2,176,67,65,224,223,172,132,131,130,129,128])).
% 1.46/1.54 cnf(312,plain,
% 1.46/1.54 (P14(a2,a51)),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,97,98,99,107,109,112,108,2,176,67,65,224,223,172,132,131,130,129,128,124])).
% 1.46/1.54 cnf(314,plain,
% 1.46/1.54 (P12(a2,a51)),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,97,98,99,107,109,112,108,2,176,67,65,224,223,172,132,131,130,129,128,124,123])).
% 1.46/1.54 cnf(316,plain,
% 1.46/1.54 (P6(a2,a51)),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,97,98,99,107,109,112,108,2,176,67,65,224,223,172,132,131,130,129,128,124,123,122])).
% 1.46/1.54 cnf(340,plain,
% 1.46/1.54 (E(f57(x3401,a1),f57(x3401,a2))),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,97,98,99,107,109,112,108,2,176,67,65,224,223,172,132,131,130,129,128,124,123,122,187,186,185,184,183,182,181,127,126,60,59,58,57,56])).
% 1.46/1.54 cnf(347,plain,
% 1.46/1.54 (E(f54(x3471,a1),f54(x3471,a2))),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,97,98,99,107,109,112,108,2,176,67,65,224,223,172,132,131,130,129,128,124,123,122,187,186,185,184,183,182,181,127,126,60,59,58,57,56,55,54,53,52,51,50,49])).
% 1.46/1.54 cnf(385,plain,
% 1.46/1.54 (E(f6(x3851,a1),f6(x3851,a2))),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,97,98,99,107,109,112,108,2,176,67,65,224,223,172,132,131,130,129,128,124,123,122,187,186,185,184,183,182,181,127,126,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11])).
% 1.46/1.54 cnf(394,plain,
% 1.46/1.54 (~E(a1,a46)),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,97,98,99,107,109,112,103,108,2,176,67,65,224,223,172,132,131,130,129,128,124,123,122,187,186,185,184,183,182,181,127,126,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,77,3])).
% 1.46/1.54 cnf(399,plain,
% 1.46/1.54 (P15(f4(a2,a2))),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,97,98,99,107,109,112,103,108,2,176,67,65,224,223,172,132,131,130,129,128,124,123,122,187,186,185,184,183,182,181,127,126,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,77,3,203,202,201])).
% 1.46/1.54 cnf(401,plain,
% 1.46/1.54 (P15(f6(a49,a2))),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,97,98,99,107,109,112,103,108,2,176,67,65,224,223,172,132,131,130,129,128,124,123,122,187,186,185,184,183,182,181,127,126,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,77,3,203,202,201,200])).
% 1.46/1.54 cnf(405,plain,
% 1.46/1.54 (~E(f6(a49,a2),a51)),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,97,98,99,107,109,112,103,108,2,176,67,65,224,223,172,132,131,130,129,128,124,123,122,187,186,185,184,183,182,181,127,126,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,77,3,203,202,201,200,191,190])).
% 1.46/1.54 cnf(411,plain,
% 1.46/1.54 (~P10(a3,a3)),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,97,98,99,107,109,112,91,103,108,2,176,67,65,224,223,172,132,131,130,129,128,124,123,122,187,186,185,184,183,182,181,127,126,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,77,3,203,202,201,200,191,190,230,222,221])).
% 1.46/1.54 cnf(415,plain,
% 1.46/1.54 (~P13(a1,a2)),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,97,98,99,107,109,112,91,103,108,2,176,67,65,224,223,172,132,131,130,129,128,124,123,122,187,186,185,184,183,182,181,127,126,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,77,3,203,202,201,200,191,190,230,222,221,210,199])).
% 1.46/1.54 cnf(417,plain,
% 1.46/1.54 (P13(a2,a46)),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,96,97,98,99,107,109,112,91,103,108,2,176,67,65,224,223,172,132,131,130,129,128,124,123,122,187,186,185,184,183,182,181,127,126,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,77,3,203,202,201,200,191,190,230,222,221,210,199,178])).
% 1.46/1.54 cnf(429,plain,
% 1.46/1.54 (P15(f54(a48,a1))),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,96,97,98,99,107,109,112,91,92,94,103,110,111,108,2,176,67,65,224,223,172,132,131,130,129,128,124,123,122,187,186,185,184,183,182,181,127,126,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,77,3,203,202,201,200,191,190,230,222,221,210,199,178,177,196,238,237,236,235])).
% 1.46/1.54 cnf(443,plain,
% 1.46/1.54 (E(f4(f4(f56(a2,a2),a2),f57(a2,a2)),a2)),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,96,97,98,99,107,109,112,91,92,94,103,110,111,108,2,176,67,65,224,223,172,132,131,130,129,128,124,123,122,187,186,185,184,183,182,181,127,126,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,77,3,203,202,201,200,191,190,230,222,221,210,199,178,177,196,238,237,236,235,234,233,265,264,246,245,276])).
% 1.46/1.54 cnf(445,plain,
% 1.46/1.54 (E(f4(f41(a2,a49),f6(a49,f47(a2,a49))),a2)),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,96,97,98,99,107,109,112,91,92,94,103,110,111,108,2,176,67,65,224,223,172,132,131,130,129,128,124,123,122,187,186,185,184,183,182,181,127,126,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,77,3,203,202,201,200,191,190,230,222,221,210,199,178,177,196,238,237,236,235,234,233,265,264,246,245,276,275])).
% 1.46/1.54 cnf(449,plain,
% 1.46/1.54 (P6(f4(a48,a2),a1)),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,96,97,98,99,107,109,112,91,92,94,103,110,111,108,2,176,67,65,224,223,172,132,131,130,129,128,124,123,122,187,186,185,184,183,182,181,127,126,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,77,3,203,202,201,200,191,190,230,222,221,210,199,178,177,196,238,237,236,235,234,233,265,264,246,245,276,275,261,260])).
% 1.46/1.54 cnf(451,plain,
% 1.46/1.54 (P5(f4(a2,a2),a49)),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,96,97,98,99,107,109,112,91,92,94,103,110,111,108,2,176,67,65,224,223,172,132,131,130,129,128,124,123,122,187,186,185,184,183,182,181,127,126,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,77,3,203,202,201,200,191,190,230,222,221,210,199,178,177,196,238,237,236,235,234,233,265,264,246,245,276,275,261,260,259])).
% 1.46/1.54 cnf(463,plain,
% 1.46/1.54 (~P5(f4(a46,a46),a49)),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,96,97,98,99,107,109,112,91,92,94,103,110,111,108,2,176,67,65,224,223,172,132,131,130,129,128,124,123,122,187,186,185,184,183,182,181,127,126,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,77,3,203,202,201,200,191,190,230,222,221,210,199,178,177,196,238,237,236,235,234,233,265,264,246,245,276,275,261,260,259,258,257,240,239,273,269])).
% 1.46/1.54 cnf(467,plain,
% 1.46/1.54 (~P6(f6(a16,a2),f6(a3,a2))),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,96,97,98,99,107,109,112,91,92,94,103,110,111,108,2,176,67,65,224,223,172,132,131,130,129,128,124,123,122,187,186,185,184,183,182,181,127,126,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,77,3,203,202,201,200,191,190,230,222,221,210,199,178,177,196,238,237,236,235,234,233,265,264,246,245,276,275,261,260,259,258,257,240,239,273,269,267,271])).
% 1.46/1.54 cnf(471,plain,
% 1.46/1.54 (~E(f6(a49,a46),f6(a49,a2))),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,96,97,98,99,107,109,112,91,92,94,103,110,111,108,2,176,67,65,224,223,172,132,131,130,129,128,124,123,122,187,186,185,184,183,182,181,127,126,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,77,3,203,202,201,200,191,190,230,222,221,210,199,178,177,196,238,237,236,235,234,233,265,264,246,245,276,275,261,260,259,258,257,240,239,273,269,267,271,244,243])).
% 1.46/1.54 cnf(473,plain,
% 1.46/1.54 (~E(f4(a2,f6(a16,f6(a3,a2))),a1)),
% 1.46/1.54 inference(scs_inference,[],[89,93,95,96,97,98,99,107,109,112,91,92,94,103,110,111,108,2,176,67,65,224,223,172,132,131,130,129,128,124,123,122,187,186,185,184,183,182,181,127,126,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,77,3,203,202,201,200,191,190,230,222,221,210,199,178,177,196,238,237,236,235,234,233,265,264,246,245,276,275,261,260,259,258,257,240,239,273,269,267,271,244,243,278])).
% 1.46/1.54 cnf(497,plain,
% 1.46/1.54 (~E(f4(f4(a51,f6(a49,a51)),f6(a49,a51)),a51)),
% 1.46/1.54 inference(scs_inference,[],[100,94,93,304,290])).
% 1.46/1.54 cnf(515,plain,
% 1.46/1.54 (P12(f4(a2,a2),a2)),
% 1.46/1.54 inference(scs_inference,[],[100,94,92,93,95,401,308,405,304,310,290,202,191,230,178,236,235,265,246,261])).
% 1.46/1.54 cnf(525,plain,
% 1.46/1.54 (P13(a2,a48)),
% 1.46/1.54 inference(scs_inference,[],[106,100,102,90,112,94,92,110,96,91,93,95,401,308,405,300,304,310,411,417,290,202,191,230,178,236,235,265,246,261,269,267,278,289,83])).
% 1.46/1.54 cnf(528,plain,
% 1.46/1.54 (P6(a1,a2)),
% 1.46/1.54 inference(scs_inference,[],[89,106,100,102,90,112,94,92,110,96,91,93,95,401,308,405,449,291,300,304,310,411,417,290,202,191,230,178,236,235,265,246,261,269,267,278,289,83,82,79,78])).
% 1.46/1.54 cnf(529,plain,
% 1.46/1.54 (E(f58(f6(a16,a51)),a51)),
% 1.46/1.54 inference(scs_inference,[],[89,106,100,102,90,112,94,92,110,96,91,93,95,401,308,405,449,291,300,304,310,411,417,290,202,191,230,178,236,235,265,246,261,269,267,278,289,83,82,79,78,203])).
% 1.46/1.54 cnf(545,plain,
% 1.46/1.54 (~E(a3,a16)),
% 1.46/1.54 inference(scs_inference,[],[89,106,100,102,90,111,112,94,92,110,99,96,91,93,95,401,308,405,449,291,300,304,310,411,417,290,202,191,230,178,236,235,265,246,261,269,267,278,289,83,82,79,78,203,201,200,190,196,264,245,260,2])).
% 1.46/1.54 cnf(550,plain,
% 1.46/1.54 (P12(a1,a2)),
% 1.46/1.54 inference(scs_inference,[],[89,106,100,102,90,111,112,94,92,110,99,96,91,93,95,401,471,306,308,405,449,291,300,304,310,411,417,290,202,191,230,178,236,235,265,246,261,269,267,278,289,83,82,79,78,203,201,200,190,196,264,245,260,2,11,81,80,70,69])).
% 1.46/1.54 cnf(552,plain,
% 1.46/1.54 (~E(a48,a2)),
% 1.46/1.54 inference(scs_inference,[],[89,106,100,102,90,111,112,94,92,110,99,96,109,91,93,95,401,471,306,308,405,449,463,291,300,304,310,411,417,290,202,191,230,178,236,235,265,246,261,269,267,278,289,83,82,79,78,203,201,200,190,196,264,245,260,2,11,81,80,70,69,65,3])).
% 1.46/1.54 cnf(556,plain,
% 1.46/1.54 (P12(a1,a1)),
% 1.46/1.54 inference(scs_inference,[],[89,106,100,102,90,111,112,94,92,110,99,96,109,91,97,93,95,401,471,306,308,405,449,463,291,300,304,310,411,417,290,202,191,230,178,236,235,265,246,261,269,267,278,289,83,82,79,78,203,201,200,190,196,264,245,260,2,11,81,80,70,69,65,3,76,249,248])).
% 1.46/1.54 cnf(562,plain,
% 1.46/1.54 (P15(f57(a1,a1))),
% 1.46/1.54 inference(scs_inference,[],[89,106,100,102,90,111,112,94,92,110,99,96,109,91,97,93,95,401,347,471,306,308,429,405,449,463,291,300,304,310,411,417,290,202,191,230,178,236,235,265,246,261,269,267,278,289,83,82,79,78,203,201,200,190,196,264,245,260,2,11,81,80,70,69,65,3,76,249,248,64,273,238])).
% 1.46/1.54 cnf(615,plain,
% 1.46/1.54 (~P13(a2,a2)),
% 1.46/1.54 inference(scs_inference,[],[111,112,291,96,98,91,92,97,94,93,95,340,562,529,316,415,525,528,545,550,556,199,84,236,265,261,177,64,235,264,246,245,267,82])).
% 1.46/1.54 cnf(617,plain,
% 1.46/1.54 (E(f6(x6171,a1),f6(x6171,a2))),
% 1.46/1.54 inference(rename_variables,[],[385])).
% 1.46/1.54 cnf(619,plain,
% 1.46/1.54 (~P13(a1,f4(f4(f56(a2,a2),a2),f57(a2,a2)))),
% 1.46/1.54 inference(scs_inference,[],[90,111,112,291,96,98,91,92,97,94,93,95,340,385,443,467,562,529,316,415,525,528,545,550,556,199,84,236,265,261,177,64,235,264,246,245,267,82,78,11,83])).
% 1.46/1.54 cnf(620,plain,
% 1.46/1.54 (~P6(f6(a16,a2),f6(a3,a1))),
% 1.46/1.54 inference(scs_inference,[],[90,111,112,291,96,98,91,92,97,94,93,95,340,385,617,443,467,562,529,316,415,525,528,545,550,556,199,84,236,265,261,177,64,235,264,246,245,267,82,78,11,83,79])).
% 1.46/1.54 cnf(622,plain,
% 1.46/1.54 (E(a48,a46)),
% 1.46/1.54 inference(scs_inference,[],[90,111,112,291,96,98,91,92,97,94,93,95,340,385,617,443,467,562,529,316,415,525,528,545,550,556,199,84,236,265,261,177,64,235,264,246,245,267,82,78,11,83,79,2])).
% 1.46/1.54 cnf(624,plain,
% 1.46/1.54 (P5(a1,a49)),
% 1.46/1.54 inference(scs_inference,[],[90,108,111,112,291,109,96,98,91,92,97,94,93,95,340,385,617,443,467,562,529,316,415,525,528,545,550,556,199,84,236,265,261,177,64,235,264,246,245,267,82,78,11,83,79,2,3,65])).
% 1.46/1.54 cnf(634,plain,
% 1.46/1.54 (~P10(a16,a16)),
% 1.46/1.54 inference(scs_inference,[],[90,101,108,111,112,291,109,96,98,91,92,97,94,93,95,340,385,617,443,467,562,529,312,316,415,525,528,545,550,556,199,84,236,265,261,177,64,235,264,246,245,267,82,78,11,83,79,2,3,65,75,238,237,276,209,198])).
% 1.46/1.54 cnf(661,plain,
% 1.46/1.54 (P13(a1,a48)),
% 1.46/1.54 inference(scs_inference,[],[104,112,291,98,99,96,92,94,93,95,314,399,634,515,296,525,248,210,287,261,267,82])).
% 1.46/1.54 cnf(662,plain,
% 1.46/1.54 (~P13(a2,f4(f41(a2,a49),f6(a49,f47(a2,a49))))),
% 1.46/1.54 inference(scs_inference,[],[104,112,291,98,99,96,92,94,93,95,314,399,634,515,445,296,615,525,248,210,287,261,267,82,83])).
% 1.46/1.54 cnf(663,plain,
% 1.46/1.54 (P6(a1,a51)),
% 1.46/1.54 inference(scs_inference,[],[104,112,291,98,99,96,92,94,93,95,314,399,634,515,445,296,615,525,316,248,210,287,261,267,82,83,78])).
% 1.46/1.54 cnf(694,plain,
% 1.46/1.54 (P6(a46,a1)),
% 1.46/1.54 inference(scs_inference,[],[93,112,99,96,97,622,298,624,399,451,257,259,258,267,78])).
% 1.46/1.54 cnf(695,plain,
% 1.46/1.54 (P6(a48,a2)),
% 1.46/1.54 inference(scs_inference,[],[93,112,99,96,97,622,298,624,399,451,89,257,259,258,267,78,79])).
% 1.46/1.54 cnf(697,plain,
% 1.46/1.54 (~P5(a48,a49)),
% 1.46/1.54 inference(scs_inference,[],[93,112,99,96,97,622,661,619,298,624,399,451,89,257,259,258,267,78,79,83,65])).
% 1.46/1.54 cnf(699,plain,
% 1.46/1.54 (E(f4(a1,a50),a46)),
% 1.46/1.54 inference(scs_inference,[],[93,108,112,99,96,97,622,661,619,298,624,399,451,89,257,259,258,267,78,79,83,65,2,3])).
% 1.46/1.54 cnf(701,plain,
% 1.46/1.54 (~P6(a1,a46)),
% 1.46/1.54 inference(scs_inference,[],[93,100,108,112,99,96,97,394,622,661,619,298,624,399,451,89,257,259,258,267,78,79,83,65,2,3,71,227])).
% 1.46/1.54 cnf(744,plain,
% 1.46/1.54 (~P5(f4(a1,a50),a49)),
% 1.46/1.54 inference(scs_inference,[],[93,108,112,99,96,98,97,95,620,695,699,552,697,701,385,227,223,269,78,79,65])).
% 1.46/1.54 cnf(749,plain,
% 1.46/1.54 (~P6(a51,a46)),
% 1.46/1.54 inference(scs_inference,[],[93,105,108,112,291,99,96,98,97,94,95,497,620,695,662,473,699,552,663,697,701,385,417,227,223,269,78,79,65,83,2,3,68,247])).
% 1.46/1.54 cnf(907,plain,
% 1.46/1.54 ($false),
% 1.46/1.54 inference(scs_inference,[],[95,102,108,91,99,96,92,97,94,295,744,694,749,699,528,634,529,624,93,167,189,188,115,114,132,129,128,123,185,184,182,181,174,119,117,194,207,176,247,172,131,130,124,122,187,186,183,127,126,59,58,54,51,50,49,47,46,41,39,36,35,34,32,30,28,27,22,21,20,18,14,13,12,8,6,175,121,120,118,116,232,197,10,5,60,57,56,55,53,52,48,45,44,43,42,40,38,37,33,31,29,26,25,24,23,19,17,16,15,9,7,227,289,4,273,70,69,258,81,80,259]),
% 1.46/1.54 ['proof']).
% 1.46/1.54 % SZS output end Proof
% 1.46/1.54 % Total time :0.810000s
%------------------------------------------------------------------------------