%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC010+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n001.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 : Mon Jun 24 16:13:34 EDT 2024
% Result : Theorem 6.47s 6.54s
% Output : CNFRefutation 6.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWC010+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n001.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Jun 20 05:10:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.52 start to proof:theBenchmark
% 6.47/6.53 %-------------------------------------------
% 6.47/6.53 % File :CSE---1.7
% 6.47/6.53 % Problem :theBenchmark
% 6.47/6.53 % Transform :cnf
% 6.47/6.53 % Format :tptp:raw
% 6.47/6.53 % Command :java -jar mcs_scs.jar %d %s
% 6.47/6.53
% 6.47/6.53 % Result :Theorem 5.880000s
% 6.47/6.53 % Output :CNFRefutation 5.880000s
% 6.47/6.53 %-------------------------------------------
% 6.47/6.53 %--------------------------------------------------------------------------
% 6.47/6.53 % File : SWC010+1 : TPTP v8.2.0. Released v2.4.0.
% 6.47/6.53 % Domain : Software Creation
% 6.47/6.53 % Problem : cond_filter_some_x_del_max
% 6.47/6.53 % Version : [Wei00] axioms.
% 6.47/6.53 % English : Find components in a software library that match a given target
% 6.47/6.53 % specification given in first-order logic. The components are
% 6.47/6.53 % specified in first-order logic as well. The problem represents
% 6.47/6.53 % a test of one library module specification against a target
% 6.47/6.53 % specification.
% 6.47/6.53
% 6.47/6.53 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 6.47/6.53 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 6.47/6.53 % Source : [Wei00]
% 6.47/6.53 % Names : cond_filter_some_x_del_max [Wei00]
% 6.47/6.53
% 6.47/6.53 % Status : Theorem
% 6.47/6.53 % Rating : 0.36 v7.5.0, 0.38 v7.4.0, 0.23 v7.3.0, 0.34 v7.1.0, 0.39 v7.0.0, 0.30 v6.4.0, 0.35 v6.3.0, 0.42 v6.2.0, 0.48 v6.1.0, 0.53 v6.0.0, 0.52 v5.5.0, 0.59 v5.4.0, 0.61 v5.3.0, 0.63 v5.2.0, 0.50 v5.1.0, 0.52 v5.0.0, 0.54 v4.1.0, 0.52 v4.0.1, 0.48 v4.0.0, 0.46 v3.7.0, 0.45 v3.5.0, 0.47 v3.4.0, 0.53 v3.3.0, 0.43 v3.2.0, 0.45 v3.1.0, 0.56 v2.7.0, 0.50 v2.6.0, 0.67 v2.4.0
% 6.47/6.53 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 6.47/6.53 % Number of atoms : 417 ( 78 equ)
% 6.47/6.53 % Maximal formula atoms : 23 ( 4 avg)
% 6.47/6.53 % Number of connectives : 352 ( 31 ~; 15 |; 46 &)
% 6.47/6.53 % ( 26 <=>; 234 =>; 0 <=; 0 <~>)
% 6.47/6.53 % Maximal formula depth : 26 ( 7 avg)
% 6.47/6.53 % Maximal term depth : 4 ( 1 avg)
% 6.47/6.53 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 6.47/6.54 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 6.47/6.54 % Number of variables : 214 ( 197 !; 17 ?)
% 6.47/6.54 % SPC : FOF_THM_RFO_SEQ
% 6.47/6.54
% 6.47/6.54 % Comments :
% 6.47/6.54 %--------------------------------------------------------------------------
% 6.47/6.54 %----Include list specification axioms
% 6.47/6.54 include('Axioms/SWC001+0.ax').
% 6.47/6.54 %--------------------------------------------------------------------------
% 6.47/6.54 fof(co1,conjecture,
% 6.47/6.54 ! [U] :
% 6.47/6.54 ( ssList(U)
% 6.47/6.54 => ! [V] :
% 6.47/6.54 ( ssList(V)
% 6.47/6.54 => ! [W] :
% 6.47/6.54 ( ssList(W)
% 6.47/6.54 => ! [X] :
% 6.47/6.54 ( ssList(X)
% 6.47/6.54 => ( V != X
% 6.47/6.54 | U != W
% 6.47/6.54 | ( ( ~ neq(V,nil)
% 6.47/6.54 | ? [Y] :
% 6.47/6.54 ( ssItem(Y)
% 6.47/6.54 & ? [Z] :
% 6.47/6.54 ( ssList(Z)
% 6.47/6.54 & ? [X1] :
% 6.47/6.54 ( ssList(X1)
% 6.47/6.54 & app(app(Z,cons(Y,nil)),X1) = V
% 6.47/6.54 & app(Z,X1) = U ) ) )
% 6.47/6.54 | ! [X2] :
% 6.47/6.54 ( ssItem(X2)
% 6.47/6.54 => ! [X3] :
% 6.47/6.54 ( ssList(X3)
% 6.47/6.54 => ! [X4] :
% 6.47/6.54 ( ssList(X4)
% 6.47/6.54 => ( app(app(X3,cons(X2,nil)),X4) != X
% 6.47/6.54 | app(X3,X4) != W
% 6.47/6.54 | ? [X5] :
% 6.47/6.54 ( ssItem(X5)
% 6.47/6.54 & X2 != X5
% 6.47/6.54 & memberP(X,X5)
% 6.47/6.54 & geq(X5,X2) ) ) ) ) ) )
% 6.47/6.54 & ( ~ neq(V,nil)
% 6.47/6.54 | neq(X,nil) ) ) ) ) ) ) ) ).
% 6.47/6.54
% 6.47/6.54 %--------------------------------------------------------------------------
% 6.47/6.54 %-------------------------------------------
% 6.47/6.54 % Proof found
% 6.47/6.54 % SZS status Theorem for theBenchmark
% 6.47/6.54 % SZS output start Proof
% 6.47/6.54 %ClaNum:298(EqnAxiom:88)
% 6.47/6.54 %VarNum:1020(SingletonVarNum:331)
% 6.47/6.54 %MaxLitNum:10
% 6.47/6.54 %MaxfuncDepth:4
% 6.47/6.54 %SharedTerms:39
% 6.47/6.54 %goalClause: 89 90 94 95 96 97 105 125 126 127 177 237 270 286
% 6.47/6.54 %singleGoalClaCount:7
% 6.47/6.54 [89]E(a1,a2)
% 6.47/6.54 [90]E(a46,a48)
% 6.47/6.54 [91]P1(a3)
% 6.47/6.54 [92]P1(a16)
% 6.47/6.54 [93]P15(a49)
% 6.47/6.54 [94]P15(a2)
% 6.47/6.54 [95]P15(a46)
% 6.47/6.54 [96]P15(a1)
% 6.47/6.54 [97]P15(a48)
% 6.47/6.54 [98]P2(a49)
% 6.47/6.54 [99]P16(a49)
% 6.47/6.54 [100]P17(a49)
% 6.47/6.54 [101]P19(a49)
% 6.47/6.54 [102]P18(a49)
% 6.47/6.54 [103]P3(a49)
% 6.47/6.54 [104]P4(a49)
% 6.47/6.54 [105]P5(a46,a49)
% 6.47/6.54 [106]~E(a16,a3)
% 6.47/6.54 [107]~P12(a49)
% 6.47/6.54 [125]P1(a50)+~P5(a48,a49)
% 6.47/6.54 [126]~P5(a48,a49)+P15(a51)
% 6.47/6.54 [127]~P5(a48,a49)+P15(a52)
% 6.47/6.54 [177]~P5(a48,a49)+E(f4(a51,a52),a1)
% 6.47/6.54 [270]~P5(a48,a49)+E(f4(f4(a51,f6(a50,a49)),a52),a48)
% 6.47/6.54 [119]~P15(x1191)+P6(x1191,a49)
% 6.47/6.54 [120]~P15(x1201)+P13(x1201,a49)
% 6.47/6.54 [121]~P15(x1211)+P14(x1211,a49)
% 6.47/6.54 [128]~P15(x1281)+P6(x1281,x1281)
% 6.47/6.54 [129]~P15(x1291)+P13(x1291,x1291)
% 6.47/6.54 [130]~P15(x1301)+P14(x1301,x1301)
% 6.47/6.54 [131]~P1(x1311)+P7(x1311,x1311)
% 6.47/6.54 [132]~P1(x1321)+P8(x1321,x1321)
% 6.47/6.54 [173]~P1(x1731)+~P10(a49,x1731)
% 6.47/6.54 [179]~P11(x1791,x1791)+~P1(x1791)
% 6.47/6.54 [123]~P15(x1231)+E(f4(x1231,a49),x1231)
% 6.47/6.54 [124]~P15(x1241)+E(f4(a49,x1241),x1241)
% 6.47/6.54 [184]~P1(x1841)+P2(f6(x1841,a49))
% 6.47/6.54 [185]~P1(x1851)+P16(f6(x1851,a49))
% 6.47/6.54 [186]~P1(x1861)+P17(f6(x1861,a49))
% 6.47/6.54 [187]~P1(x1871)+P19(f6(x1871,a49))
% 6.47/6.54 [188]~P1(x1881)+P18(f6(x1881,a49))
% 6.47/6.54 [189]~P1(x1891)+P3(f6(x1891,a49))
% 6.47/6.54 [190]~P1(x1901)+P4(f6(x1901,a49))
% 6.47/6.54 [167]~P15(x1671)+~E(a49,x1671)+P6(a49,x1671)
% 6.47/6.54 [168]~P15(x1681)+~E(a49,x1681)+P13(a49,x1681)
% 6.47/6.54 [169]~P15(x1691)+~E(a49,x1691)+P14(a49,x1691)
% 6.47/6.54 [174]~P15(x1741)+~P6(a49,x1741)+E(a49,x1741)
% 6.47/6.54 [175]~P15(x1751)+~P13(a49,x1751)+E(a49,x1751)
% 6.47/6.54 [176]~P15(x1761)+~P14(a49,x1761)+E(a49,x1761)
% 6.47/6.54 [111]~P15(x1111)+E(f53(x1111),f27(x1111))+E(a49,x1111)
% 6.47/6.54 [112]~P15(x1121)+E(f59(x1121),f45(x1121))+E(a49,x1121)
% 6.47/6.54 [113]~P15(x1131)+E(a49,x1131)+P1(f53(x1131))
% 6.47/6.54 [114]~P15(x1141)+E(a49,x1141)+P1(f28(x1141))
% 6.47/6.54 [115]~P15(x1151)+E(a49,x1151)+P1(f27(x1151))
% 6.47/6.54 [116]~P15(x1161)+E(a49,x1161)+P15(f59(x1161))
% 6.47/6.54 [117]~P15(x1171)+E(a49,x1171)+P15(f29(x1171))
% 6.47/6.54 [118]~P15(x1181)+E(a49,x1181)+P15(f45(x1181))
% 6.47/6.54 [122]P3(x1221)+~P15(x1221)+E(f30(x1221),f36(x1221))
% 6.47/6.54 [133]~P15(x1331)+P2(x1331)+P1(f5(x1331))
% 6.47/6.54 [134]~P15(x1341)+P2(x1341)+P1(f7(x1341))
% 6.47/6.54 [135]~P15(x1351)+P2(x1351)+P15(f8(x1351))
% 6.47/6.54 [136]~P15(x1361)+P2(x1361)+P15(f9(x1361))
% 6.47/6.54 [137]~P15(x1371)+P2(x1371)+P15(f10(x1371))
% 6.47/6.54 [138]~P15(x1381)+P16(x1381)+P1(f11(x1381))
% 6.47/6.54 [139]~P15(x1391)+P16(x1391)+P1(f12(x1391))
% 6.47/6.54 [140]~P15(x1401)+P16(x1401)+P15(f13(x1401))
% 6.47/6.54 [141]~P15(x1411)+P16(x1411)+P15(f14(x1411))
% 6.47/6.54 [142]~P15(x1421)+P16(x1421)+P15(f15(x1421))
% 6.47/6.54 [143]~P15(x1431)+P17(x1431)+P1(f17(x1431))
% 6.47/6.54 [144]~P15(x1441)+P17(x1441)+P1(f18(x1441))
% 6.47/6.54 [145]~P15(x1451)+P17(x1451)+P15(f19(x1451))
% 6.47/6.54 [146]~P15(x1461)+P17(x1461)+P15(f20(x1461))
% 6.47/6.54 [147]~P15(x1471)+P17(x1471)+P15(f21(x1471))
% 6.47/6.54 [148]~P15(x1481)+P19(x1481)+P1(f22(x1481))
% 6.47/6.54 [149]~P15(x1491)+P19(x1491)+P1(f23(x1491))
% 6.47/6.54 [150]~P15(x1501)+P19(x1501)+P15(f24(x1501))
% 6.47/6.54 [151]~P15(x1511)+P19(x1511)+P15(f25(x1511))
% 6.47/6.54 [152]~P15(x1521)+P19(x1521)+P15(f26(x1521))
% 6.47/6.54 [153]~P15(x1531)+P18(x1531)+P1(f31(x1531))
% 6.47/6.54 [154]~P15(x1541)+P18(x1541)+P1(f32(x1541))
% 6.47/6.54 [155]~P15(x1551)+P18(x1551)+P15(f33(x1551))
% 6.47/6.54 [156]~P15(x1561)+P18(x1561)+P15(f34(x1561))
% 6.47/6.54 [157]~P15(x1571)+P18(x1571)+P15(f35(x1571))
% 6.47/6.54 [158]~P15(x1581)+P3(x1581)+P1(f30(x1581))
% 6.47/6.54 [159]~P15(x1591)+P3(x1591)+P1(f36(x1591))
% 6.47/6.54 [160]~P15(x1601)+P3(x1601)+P15(f37(x1601))
% 6.47/6.54 [161]~P15(x1611)+P3(x1611)+P15(f38(x1611))
% 6.47/6.54 [162]~P15(x1621)+P3(x1621)+P15(f39(x1621))
% 6.47/6.54 [163]~P15(x1631)+P4(x1631)+P1(f40(x1631))
% 6.47/6.54 [164]~P15(x1641)+P4(x1641)+P1(f42(x1641))
% 6.47/6.54 [165]~P15(x1651)+P4(x1651)+P15(f43(x1651))
% 6.47/6.54 [166]~P15(x1661)+P4(x1661)+P15(f44(x1661))
% 6.47/6.54 [171]~P15(x1711)+P4(x1711)+~E(f42(x1711),f40(x1711))
% 6.47/6.54 [172]~P15(x1721)+~P12(x1721)+P1(f54(x1721))
% 6.47/6.54 [195]~P15(x1951)+P2(x1951)+P7(f5(x1951),f7(x1951))
% 6.47/6.54 [196]~P15(x1961)+P2(x1961)+P7(f7(x1961),f5(x1961))
% 6.47/6.54 [216]~P15(x2161)+P16(x2161)+~P7(f11(x2161),f12(x2161))
% 6.47/6.54 [217]~P15(x2171)+P16(x2171)+~P7(f12(x2171),f11(x2171))
% 6.47/6.54 [218]~P15(x2181)+P17(x2181)+~P11(f17(x2181),f18(x2181))
% 6.47/6.54 [219]~P15(x2191)+P17(x2191)+~P11(f18(x2191),f17(x2191))
% 6.47/6.54 [220]~P15(x2201)+P19(x2201)+~P7(f22(x2201),f23(x2201))
% 6.47/6.54 [221]~P15(x2211)+P18(x2211)+~P11(f31(x2211),f32(x2211))
% 6.47/6.54 [183]~P15(x1831)+~P12(x1831)+E(f6(f54(x1831),a49),x1831)
% 6.47/6.54 [191]~P15(x1911)+E(a49,x1911)+E(f6(f53(x1911),f59(x1911)),x1911)
% 6.47/6.54 [192]~P15(x1921)+E(a49,x1921)+E(f6(f28(x1921),f29(x1921)),x1921)
% 6.47/6.54 [287]P2(x2871)+~P15(x2871)+E(f4(f4(f8(x2871),f6(f5(x2871),f9(x2871))),f6(f7(x2871),f10(x2871))),x2871)
% 6.47/6.54 [288]P16(x2881)+~P15(x2881)+E(f4(f4(f13(x2881),f6(f11(x2881),f14(x2881))),f6(f12(x2881),f15(x2881))),x2881)
% 6.47/6.54 [289]P17(x2891)+~P15(x2891)+E(f4(f4(f19(x2891),f6(f17(x2891),f20(x2891))),f6(f18(x2891),f21(x2891))),x2891)
% 6.47/6.54 [290]P19(x2901)+~P15(x2901)+E(f4(f4(f24(x2901),f6(f22(x2901),f25(x2901))),f6(f23(x2901),f26(x2901))),x2901)
% 6.47/6.54 [291]P18(x2911)+~P15(x2911)+E(f4(f4(f33(x2911),f6(f31(x2911),f34(x2911))),f6(f32(x2911),f35(x2911))),x2911)
% 6.47/6.54 [292]P3(x2921)+~P15(x2921)+E(f4(f4(f37(x2921),f6(f30(x2921),f38(x2921))),f6(f36(x2921),f39(x2921))),x2921)
% 6.47/6.54 [283]P4(x2831)+~P15(x2831)+E(f4(f43(x2831),f6(f40(x2831),f6(f42(x2831),f44(x2831)))),x2831)
% 6.47/6.54 [193]~P1(x1931)+~P15(x1932)+~E(f6(x1931,x1932),a49)
% 6.47/6.54 [194]~P1(x1941)+~P15(x1942)+~E(f6(x1941,x1942),x1942)
% 6.47/6.54 [203]~P1(x2031)+~P15(x2032)+P15(f6(x2031,x2032))
% 6.47/6.54 [204]~P15(x2042)+~P15(x2041)+P15(f4(x2041,x2042))
% 6.47/6.54 [205]~P1(x2051)+~P15(x2052)+E(f53(f6(x2051,x2052)),x2051)
% 6.47/6.54 [206]~P1(x2061)+~P15(x2062)+E(f59(f6(x2061,x2062)),x2062)
% 6.47/6.54 [234]~P1(x2341)+~P15(x2342)+E(f4(f6(x2341,a49),x2342),f6(x2341,x2342))
% 6.47/6.54 [180]P5(x1801,x1802)+~P1(x1802)+~P1(x1801)+E(x1801,x1802)
% 6.47/6.54 [181]P5(x1811,x1812)+~P15(x1812)+~P15(x1811)+E(x1811,x1812)
% 6.47/6.54 [200]~P1(x2002)+~P1(x2001)+~P5(x2001,x2002)+~E(x2001,x2002)
% 6.47/6.54 [201]~P1(x2012)+~P1(x2011)+~P11(x2011,x2012)+~E(x2011,x2012)
% 6.47/6.54 [202]~P15(x2022)+~P15(x2021)+~P5(x2021,x2022)+~E(x2021,x2022)
% 6.47/6.54 [211]~P1(x2111)+~P1(x2112)+~P8(x2112,x2111)+P7(x2111,x2112)
% 6.47/6.54 [212]~P1(x2122)+~P1(x2121)+~P11(x2121,x2122)+P7(x2121,x2122)
% 6.47/6.54 [213]~P1(x2131)+~P1(x2132)+~P9(x2132,x2131)+P11(x2131,x2132)
% 6.47/6.54 [214]~P1(x2141)+~P1(x2142)+~P7(x2142,x2141)+P8(x2141,x2142)
% 6.47/6.54 [215]~P1(x2151)+~P1(x2152)+~P11(x2152,x2151)+P9(x2151,x2152)
% 6.47/6.54 [224]~P11(x2241,x2242)+~P11(x2242,x2241)+~P1(x2241)+~P1(x2242)
% 6.47/6.54 [225]~P9(x2251,x2252)+~P9(x2252,x2251)+~P1(x2251)+~P1(x2252)
% 6.47/6.54 [197]~P15(x1972)+~P15(x1971)+E(a49,x1971)+~E(f4(x1972,x1971),a49)
% 6.47/6.54 [198]~P15(x1982)+~P15(x1981)+E(a49,x1981)+~E(f4(x1981,x1982),a49)
% 6.47/6.54 [199]~P1(x1992)+~P15(x1991)+P12(x1991)+~E(f6(x1992,a49),x1991)
% 6.47/6.54 [208]~P1(x2081)+~P15(x2082)+~E(a49,x2082)+P19(f6(x2081,x2082))
% 6.47/6.54 [209]~P1(x2091)+~P15(x2092)+~E(a49,x2092)+P18(f6(x2091,x2092))
% 6.47/6.54 [238]~P1(x2382)+~P15(x2381)+~P10(x2381,x2382)+P15(f41(x2381,x2382))
% 6.47/6.54 [239]~P1(x2392)+~P15(x2391)+~P10(x2391,x2392)+P15(f47(x2391,x2392))
% 6.47/6.54 [240]~P15(x2402)+~P15(x2401)+~P6(x2401,x2402)+P15(f55(x2401,x2402))
% 6.47/6.54 [241]~P15(x2412)+~P15(x2411)+~P13(x2411,x2412)+P15(f56(x2411,x2412))
% 6.47/6.54 [242]~P15(x2422)+~P15(x2421)+~P14(x2421,x2422)+P15(f57(x2421,x2422))
% 6.47/6.54 [243]~P15(x2432)+~P15(x2431)+~P14(x2431,x2432)+P15(f58(x2431,x2432))
% 6.47/6.54 [210]~P15(x2102)+~P15(x2101)+E(a49,x2101)+E(f53(f4(x2101,x2102)),f53(x2101))
% 6.47/6.54 [236]~P15(x2362)+~P15(x2361)+E(a49,x2361)+E(f59(f4(x2361,x2362)),f4(f59(x2361),x2362))
% 6.47/6.54 [250]~P15(x2502)+~P15(x2501)+~P6(x2502,x2501)+E(f4(x2501,f55(x2502,x2501)),x2502)
% 6.47/6.54 [251]~P15(x2512)+~P15(x2511)+~P13(x2511,x2512)+E(f4(f56(x2511,x2512),x2512),x2511)
% 6.47/6.54 [282]~P15(x2822)+~P15(x2821)+~P14(x2821,x2822)+E(f4(f4(f57(x2821,x2822),x2822),f58(x2821,x2822)),x2821)
% 6.47/6.54 [281]~P1(x2812)+~P15(x2811)+~P10(x2811,x2812)+E(f4(f41(x2811,x2812),f6(x2812,f47(x2811,x2812))),x2811)
% 6.47/6.54 [271]~P1(x2711)+~P15(x2712)+~P15(x2713)+E(f6(x2711,f4(x2712,x2713)),f4(f6(x2711,x2712),x2713))
% 6.47/6.54 [272]~P15(x2723)+~P15(x2722)+~P15(x2721)+E(f4(f4(x2721,x2722),x2723),f4(x2721,f4(x2722,x2723)))
% 6.47/6.54 [237]~P1(x2371)+~P5(a48,a49)+~P8(x2371,a50)+~P10(a48,x2371)+E(a50,x2371)
% 6.47/6.54 [223]P11(x2231,x2232)+~P1(x2232)+~P1(x2231)+~P7(x2231,x2232)+E(x2231,x2232)
% 6.47/6.54 [229]~P1(x2292)+~P1(x2291)+~P7(x2292,x2291)+~P7(x2291,x2292)+E(x2291,x2292)
% 6.47/6.54 [230]~P1(x2302)+~P1(x2301)+~P8(x2302,x2301)+~P8(x2301,x2302)+E(x2301,x2302)
% 6.47/6.54 [231]~P15(x2312)+~P15(x2311)+~P6(x2312,x2311)+~P6(x2311,x2312)+E(x2311,x2312)
% 6.47/6.54 [232]~P15(x2322)+~P15(x2321)+~P13(x2322,x2321)+~P13(x2321,x2322)+E(x2321,x2322)
% 6.47/6.55 [233]~P15(x2332)+~P15(x2331)+~P14(x2332,x2331)+~P14(x2331,x2332)+E(x2331,x2332)
% 6.47/6.55 [182]~P15(x1821)+~P15(x1822)+~E(a49,x1821)+~E(a49,x1822)+E(f4(x1821,x1822),a49)
% 6.47/6.55 [246]P19(x2461)+~P15(x2461)+~P1(x2462)+E(a49,x2461)+~P19(f6(x2462,x2461))
% 6.47/6.55 [247]P18(x2471)+~P15(x2471)+~P1(x2472)+E(a49,x2471)+~P18(f6(x2472,x2471))
% 6.47/6.55 [260]~P1(x2602)+~P15(x2601)+E(a49,x2601)+P7(x2602,f53(x2601))+~P19(f6(x2602,x2601))
% 6.47/6.55 [261]~P1(x2612)+~P15(x2611)+E(a49,x2611)+P11(x2612,f53(x2611))+~P18(f6(x2612,x2611))
% 6.47/6.55 [226]~P15(x2261)+~P15(x2262)+~P15(x2263)+P6(x2261,x2262)+~E(f4(x2262,x2263),x2261)
% 6.47/6.55 [227]~P15(x2271)+~P15(x2272)+~P15(x2273)+P13(x2271,x2272)+~E(f4(x2273,x2272),x2271)
% 6.47/6.55 [235]~E(x2353,x2351)+~P1(x2351)+~P1(x2353)+~P15(x2352)+P10(f6(x2351,x2352),x2353)
% 6.47/6.55 [244]~P15(x2442)+~P15(x2443)+~P15(x2441)+E(x2441,x2442)+~E(f4(x2443,x2441),f4(x2443,x2442))
% 6.47/6.55 [245]~P15(x2452)+~P15(x2453)+~P15(x2451)+E(x2451,x2452)+~E(f4(x2451,x2453),f4(x2452,x2453))
% 6.47/6.55 [262]~P1(x2621)+~P1(x2623)+~P15(x2622)+~P10(x2622,x2623)+P10(f6(x2621,x2622),x2623)
% 6.47/6.55 [263]~P1(x2633)+~P15(x2631)+~P15(x2632)+~P10(x2632,x2633)+P10(f4(x2631,x2632),x2633)
% 6.47/6.55 [264]~P1(x2643)+~P15(x2642)+~P15(x2641)+~P10(x2641,x2643)+P10(f4(x2641,x2642),x2643)
% 6.47/6.55 [265]~P15(x2652)+~P15(x2653)+~P15(x2651)+~P6(x2651,x2653)+P6(f4(x2651,x2652),x2653)
% 6.47/6.55 [266]~P15(x2661)+~P15(x2663)+~P15(x2662)+~P13(x2662,x2663)+P13(f4(x2661,x2662),x2663)
% 6.47/6.55 [267]~P1(x2672)+~P15(x2671)+~P19(x2671)+~P7(x2672,f53(x2671))+E(a49,x2671)+P19(f6(x2672,x2671))
% 6.47/6.55 [268]~P1(x2682)+~P15(x2681)+~P18(x2681)+~P11(x2682,f53(x2681))+E(a49,x2681)+P18(f6(x2682,x2681))
% 6.47/6.55 [252]~P15(x2522)+~P15(x2521)+~P6(x2523,x2522)+~P6(x2521,x2523)+P6(x2521,x2522)+~P15(x2523)
% 6.47/6.55 [253]~P15(x2532)+~P15(x2531)+~P13(x2533,x2532)+~P13(x2531,x2533)+P13(x2531,x2532)+~P15(x2533)
% 6.47/6.55 [254]~P15(x2542)+~P15(x2541)+~P14(x2543,x2542)+~P14(x2541,x2543)+P14(x2541,x2542)+~P15(x2543)
% 6.47/6.55 [255]~P1(x2552)+~P1(x2551)+~P7(x2553,x2552)+~P7(x2551,x2553)+P7(x2551,x2552)+~P1(x2553)
% 6.47/6.55 [256]~P1(x2562)+~P1(x2561)+~P7(x2561,x2563)+~P11(x2563,x2562)+P11(x2561,x2562)+~P1(x2563)
% 6.47/6.55 [257]~P1(x2572)+~P1(x2571)+~P11(x2573,x2572)+~P11(x2571,x2573)+P11(x2571,x2572)+~P1(x2573)
% 6.47/6.55 [258]~P1(x2582)+~P1(x2581)+~P8(x2583,x2582)+~P8(x2581,x2583)+P8(x2581,x2582)+~P1(x2583)
% 6.47/6.55 [259]~P1(x2592)+~P1(x2591)+~P9(x2593,x2592)+~P9(x2591,x2593)+P9(x2591,x2592)+~P1(x2593)
% 6.47/6.55 [273]~P1(x2732)+~P1(x2731)+~P15(x2733)+E(x2731,x2732)+P10(x2733,x2732)+~P10(f6(x2731,x2733),x2732)
% 6.47/6.55 [276]~P1(x2762)+~P15(x2761)+~P15(x2763)+P10(x2761,x2762)+P10(x2763,x2762)+~P10(f4(x2763,x2761),x2762)
% 6.47/6.55 [286]~P1(x2863)+~P15(x2862)+~P15(x2861)+~P5(a48,a49)+~E(f4(x2861,x2862),a2)+~E(f4(f4(x2861,f6(x2863,a49)),x2862),a46)
% 6.47/6.55 [248]~P1(x2484)+~P1(x2483)+~P15(x2482)+~P15(x2481)+E(x2481,x2482)+~E(f6(x2483,x2482),f6(x2484,x2481))
% 6.47/6.55 [249]~P1(x2492)+~P1(x2491)+~P15(x2494)+~P15(x2493)+E(x2491,x2492)+~E(f6(x2491,x2493),f6(x2492,x2494))
% 6.47/6.55 [278]~P1(x2782)+~P1(x2781)+E(x2781,x2782)+~P15(x2783)+~P15(x2784)+~P6(f6(x2781,x2784),f6(x2782,x2783))
% 6.47/6.55 [280]~P15(x2802)+~P15(x2801)+P6(x2801,x2802)+~P1(x2803)+~P1(x2804)+~P6(f6(x2804,x2801),f6(x2803,x2802))
% 6.47/6.55 [274]~P1(x2742)+~P15(x2741)+~P15(x2744)+~P15(x2743)+P10(x2741,x2742)+~E(f4(x2743,f6(x2742,x2744)),x2741)
% 6.47/6.55 [275]~P15(x2751)+~P15(x2752)+~P15(x2754)+~P15(x2753)+P14(x2751,x2752)+~E(f4(f4(x2753,x2752),x2754),x2751)
% 6.47/6.55 [279]~P15(x2793)+~P15(x2791)+~P15(x2794)+~P15(x2792)+~P14(x2792,x2794)+P14(f4(f4(x2791,x2792),x2793),x2794)
% 6.47/6.55 [207]~P15(x2072)+~P15(x2071)+E(x2071,x2072)+E(a49,x2072)+E(a49,x2071)+~E(f53(x2071),f53(x2072))+~E(f59(x2071),f59(x2072))
% 6.47/6.55 [277]~E(x2771,x2773)+~P1(x2773)+~P1(x2771)+~P15(x2774)+~P15(x2772)+~P6(x2772,x2774)+P6(f6(x2771,x2772),f6(x2773,x2774))
% 6.47/6.55 [285]~P1(x2852)+~P1(x2851)+~P15(x2854)+~P15(x2853)+~P15(x2855)+~P4(x2855)+E(x2851,x2852)+~E(f4(x2853,f6(x2851,f6(x2852,x2854))),x2855)
% 6.47/6.55 [293]~P1(x2932)+~P1(x2931)+~P15(x2935)+~P15(x2934)+~P15(x2933)+~P15(x2936)+~P3(x2936)+~E(x2931,x2932)+~E(f4(f4(x2933,f6(x2931,x2934)),f6(x2932,x2935)),x2936)
% 6.47/6.55 [294]~P1(x2942)+~P1(x2941)+~P15(x2945)+~P15(x2944)+~P15(x2943)+~P15(x2946)+~P19(x2946)+P7(x2941,x2942)+~E(f4(f4(x2943,f6(x2941,x2944)),f6(x2942,x2945)),x2946)
% 6.47/6.55 [295]~P1(x2952)+~P1(x2951)+~P15(x2955)+~P15(x2954)+~P15(x2953)+~P15(x2956)+~P18(x2956)+P11(x2951,x2952)+~E(f4(f4(x2953,f6(x2951,x2954)),f6(x2952,x2955)),x2956)
% 6.47/6.55 [296]P7(x2962,x2961)+~P1(x2961)+~P1(x2962)+~P15(x2965)+~P15(x2964)+~P15(x2963)+~P15(x2966)+~P16(x2966)+P7(x2961,x2962)+~E(f4(f4(x2963,f6(x2962,x2964)),f6(x2961,x2965)),x2966)
% 6.47/6.55 [297]P11(x2972,x2971)+~P1(x2971)+~P1(x2972)+~P15(x2975)+~P15(x2974)+~P15(x2973)+~P15(x2976)+~P17(x2976)+P11(x2971,x2972)+~E(f4(f4(x2973,f6(x2972,x2974)),f6(x2971,x2975)),x2976)
% 6.47/6.55 [298]~P1(x2984)+~P1(x2982)+~P15(x2985)+~P15(x2983)+~P15(x2981)+~P15(x2986)+~P2(x2986)+~P7(x2984,x2982)+~P7(x2982,x2984)+~E(f4(f4(x2981,f6(x2982,x2983)),f6(x2984,x2985)),x2986)
% 6.47/6.55 %EqnAxiom
% 6.47/6.55 [1]E(x11,x11)
% 6.47/6.55 [2]E(x22,x21)+~E(x21,x22)
% 6.47/6.55 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 6.47/6.55 [4]~E(x41,x42)+E(f53(x41),f53(x42))
% 6.47/6.55 [5]~E(x51,x52)+E(f27(x51),f27(x52))
% 6.47/6.55 [6]~E(x61,x62)+E(f59(x61),f59(x62))
% 6.47/6.55 [7]~E(x71,x72)+E(f45(x71),f45(x72))
% 6.47/6.55 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 6.47/6.55 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 6.47/6.55 [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 6.47/6.55 [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 6.47/6.55 [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 6.47/6.55 [13]~E(x131,x132)+E(f43(x131),f43(x132))
% 6.47/6.55 [14]~E(x141,x142)+E(f29(x141),f29(x142))
% 6.47/6.55 [15]~E(x151,x152)+E(f42(x151),f42(x152))
% 6.47/6.55 [16]~E(x161,x162)+E(f30(x161),f30(x162))
% 6.47/6.55 [17]~E(x171,x172)+E(f36(x171),f36(x172))
% 6.47/6.55 [18]~E(x181,x182)+E(f58(x181,x183),f58(x182,x183))
% 6.47/6.55 [19]~E(x191,x192)+E(f58(x193,x191),f58(x193,x192))
% 6.47/6.55 [20]~E(x201,x202)+E(f44(x201),f44(x202))
% 6.47/6.55 [21]~E(x211,x212)+E(f5(x211),f5(x212))
% 6.47/6.55 [22]~E(x221,x222)+E(f7(x221),f7(x222))
% 6.47/6.55 [23]~E(x231,x232)+E(f8(x231),f8(x232))
% 6.47/6.55 [24]~E(x241,x242)+E(f9(x241),f9(x242))
% 6.47/6.55 [25]~E(x251,x252)+E(f10(x251),f10(x252))
% 6.47/6.55 [26]~E(x261,x262)+E(f11(x261),f11(x262))
% 6.47/6.55 [27]~E(x271,x272)+E(f12(x271),f12(x272))
% 6.47/6.55 [28]~E(x281,x282)+E(f13(x281),f13(x282))
% 6.47/6.55 [29]~E(x291,x292)+E(f14(x291),f14(x292))
% 6.47/6.55 [30]~E(x301,x302)+E(f15(x301),f15(x302))
% 6.47/6.55 [31]~E(x311,x312)+E(f17(x311),f17(x312))
% 6.47/6.55 [32]~E(x321,x322)+E(f18(x321),f18(x322))
% 6.47/6.55 [33]~E(x331,x332)+E(f19(x331),f19(x332))
% 6.47/6.55 [34]~E(x341,x342)+E(f20(x341),f20(x342))
% 6.47/6.55 [35]~E(x351,x352)+E(f21(x351),f21(x352))
% 6.47/6.55 [36]~E(x361,x362)+E(f22(x361),f22(x362))
% 6.47/6.55 [37]~E(x371,x372)+E(f23(x371),f23(x372))
% 6.47/6.55 [38]~E(x381,x382)+E(f24(x381),f24(x382))
% 6.47/6.55 [39]~E(x391,x392)+E(f25(x391),f25(x392))
% 6.47/6.55 [40]~E(x401,x402)+E(f26(x401),f26(x402))
% 6.47/6.55 [41]~E(x411,x412)+E(f31(x411),f31(x412))
% 6.47/6.55 [42]~E(x421,x422)+E(f32(x421),f32(x422))
% 6.47/6.55 [43]~E(x431,x432)+E(f33(x431),f33(x432))
% 6.47/6.55 [44]~E(x441,x442)+E(f34(x441),f34(x442))
% 6.47/6.55 [45]~E(x451,x452)+E(f35(x451),f35(x452))
% 6.47/6.55 [46]~E(x461,x462)+E(f47(x461,x463),f47(x462,x463))
% 6.47/6.55 [47]~E(x471,x472)+E(f47(x473,x471),f47(x473,x472))
% 6.47/6.55 [48]~E(x481,x482)+E(f37(x481),f37(x482))
% 6.47/6.55 [49]~E(x491,x492)+E(f38(x491),f38(x492))
% 6.47/6.55 [50]~E(x501,x502)+E(f57(x501,x503),f57(x502,x503))
% 6.47/6.55 [51]~E(x511,x512)+E(f57(x513,x511),f57(x513,x512))
% 6.47/6.55 [52]~E(x521,x522)+E(f39(x521),f39(x522))
% 6.47/6.55 [53]~E(x531,x532)+E(f40(x531),f40(x532))
% 6.47/6.55 [54]~E(x541,x542)+E(f55(x541,x543),f55(x542,x543))
% 6.47/6.55 [55]~E(x551,x552)+E(f55(x553,x551),f55(x553,x552))
% 6.47/6.55 [56]~E(x561,x562)+E(f56(x561,x563),f56(x562,x563))
% 6.47/6.55 [57]~E(x571,x572)+E(f56(x573,x571),f56(x573,x572))
% 6.47/6.55 [58]~E(x581,x582)+E(f54(x581),f54(x582))
% 6.47/6.55 [59]~E(x591,x592)+E(f41(x591,x593),f41(x592,x593))
% 6.47/6.55 [60]~E(x601,x602)+E(f41(x603,x601),f41(x603,x602))
% 6.47/6.55 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 6.47/6.55 [62]P7(x622,x623)+~E(x621,x622)+~P7(x621,x623)
% 6.47/6.55 [63]P7(x633,x632)+~E(x631,x632)+~P7(x633,x631)
% 6.47/6.55 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 6.47/6.55 [65]P6(x652,x653)+~E(x651,x652)+~P6(x651,x653)
% 6.47/6.55 [66]P6(x663,x662)+~E(x661,x662)+~P6(x663,x661)
% 6.47/6.55 [67]P10(x672,x673)+~E(x671,x672)+~P10(x671,x673)
% 6.47/6.55 [68]P10(x683,x682)+~E(x681,x682)+~P10(x683,x681)
% 6.47/6.55 [69]~P2(x691)+P2(x692)+~E(x691,x692)
% 6.47/6.55 [70]~P12(x701)+P12(x702)+~E(x701,x702)
% 6.47/6.55 [71]P13(x712,x713)+~E(x711,x712)+~P13(x711,x713)
% 6.47/6.55 [72]P13(x723,x722)+~E(x721,x722)+~P13(x723,x721)
% 6.47/6.55 [73]~P16(x731)+P16(x732)+~E(x731,x732)
% 6.47/6.55 [74]~P17(x741)+P17(x742)+~E(x741,x742)
% 6.47/6.55 [75]~P19(x751)+P19(x752)+~E(x751,x752)
% 6.47/6.55 [76]~P18(x761)+P18(x762)+~E(x761,x762)
% 6.47/6.55 [77]~P3(x771)+P3(x772)+~E(x771,x772)
% 6.47/6.55 [78]~P4(x781)+P4(x782)+~E(x781,x782)
% 6.47/6.55 [79]P5(x792,x793)+~E(x791,x792)+~P5(x791,x793)
% 6.47/6.55 [80]P5(x803,x802)+~E(x801,x802)+~P5(x803,x801)
% 6.47/6.55 [81]P11(x812,x813)+~E(x811,x812)+~P11(x811,x813)
% 6.47/6.55 [82]P11(x823,x822)+~E(x821,x822)+~P11(x823,x821)
% 6.47/6.55 [83]P9(x832,x833)+~E(x831,x832)+~P9(x831,x833)
% 6.47/6.55 [84]P9(x843,x842)+~E(x841,x842)+~P9(x843,x841)
% 6.47/6.55 [85]P14(x852,x853)+~E(x851,x852)+~P14(x851,x853)
% 6.47/6.55 [86]P14(x863,x862)+~E(x861,x862)+~P14(x863,x861)
% 6.47/6.55 [87]P8(x872,x873)+~E(x871,x872)+~P8(x871,x873)
% 6.47/6.55 [88]P8(x883,x882)+~E(x881,x882)+~P8(x883,x881)
% 6.47/6.55
% 6.47/6.55 %-------------------------------------------
% 6.47/6.55 cnf(303,plain,
% 6.47/6.55 (~P5(x3031,x3031)+~P1(x3031)+~P1(x3031)),
% 6.47/6.55 inference(equality_inference,[],[200])).
% 6.47/6.55 cnf(305,plain,
% 6.47/6.55 (~P5(x3051,x3051)+~P15(x3051)+~P15(x3051)),
% 6.47/6.55 inference(equality_inference,[],[202])).
% 6.47/6.55 cnf(317,plain,
% 6.47/6.55 (~P1(x3171)+~P1(x3171)+~P6(x3172,x3173)+~P15(x3173)+~P15(x3172)+P6(f6(x3171,x3172),f6(x3171,x3173))),
% 6.47/6.55 inference(equality_inference,[],[277])).
% 6.47/6.55 cnf(331,plain,
% 6.47/6.55 (P5(a48,a49)),
% 6.47/6.55 inference(scs_inference,[],[89,90,94,105,91,2,179,303,305,79])).
% 6.47/6.55 cnf(338,plain,
% 6.47/6.55 (P1(a50)),
% 6.47/6.55 inference(scs_inference,[],[331,125])).
% 6.47/6.55 cnf(339,plain,
% 6.47/6.55 (P15(a51)),
% 6.47/6.55 inference(scs_inference,[],[331,126])).
% 6.47/6.55 cnf(340,plain,
% 6.47/6.55 (P15(a52)),
% 6.47/6.55 inference(scs_inference,[],[331,127])).
% 6.47/6.55 cnf(341,plain,
% 6.47/6.55 (E(f4(a51,a52),a1)),
% 6.47/6.55 inference(scs_inference,[],[331,177])).
% 6.47/6.55 cnf(343,plain,
% 6.47/6.55 (E(f4(f4(a51,f6(a50,a49)),a52),a48)),
% 6.47/6.55 inference(scs_inference,[],[331,270])).
% 6.47/6.55 cnf(344,plain,
% 6.47/6.55 (~P1(x3441)+~P15(x3442)+~P15(x3443)+~E(f4(x3443,x3442),a2)+~E(f4(f4(x3443,f6(x3441,a49)),x3442),a46)),
% 6.47/6.55 inference(scs_inference,[],[331,286])).
% 6.47/6.55 cnf(370,plain,
% 6.47/6.55 (E(f4(a51,a52),a2)),
% 6.47/6.55 inference(scs_inference,[],[89,105,341,95,96,338,2,179,64,303,305,80,3])).
% 6.47/6.55 cnf(382,plain,
% 6.47/6.55 (E(a48,f4(f4(a51,f6(a50,a49)),a52))),
% 6.47/6.55 inference(scs_inference,[],[343,2])).
% 6.47/6.55 cnf(385,plain,
% 6.47/6.55 (P15(f4(f4(a51,f6(a50,a49)),a52))),
% 6.47/6.55 inference(scs_inference,[],[343,97,2,305,64])).
% 6.47/6.55 cnf(646,plain,
% 6.47/6.55 (P6(f6(a50,a46),f6(a50,a46))+~P6(a46,a46)),
% 6.47/6.55 inference(scs_inference,[],[95,338,317])).
% 6.47/6.55 cnf(1343,plain,
% 6.47/6.55 (P6(f6(a50,a46),f6(a50,a46))),
% 6.47/6.55 inference(scs_inference,[],[95,128,646])).
% 6.47/6.55 cnf(1344,plain,
% 6.47/6.55 (P6(a46,a46)),
% 6.47/6.55 inference(scs_inference,[],[95,338,1343,280])).
% 6.47/6.55 cnf(1347,plain,
% 6.47/6.55 (P6(a48,a46)),
% 6.47/6.55 inference(scs_inference,[],[90,95,338,1343,280,66,65])).
% 6.47/6.55 cnf(1352,plain,
% 6.47/6.55 (P6(f4(f4(a51,f6(a50,a49)),a52),a46)),
% 6.47/6.55 inference(scs_inference,[],[90,382,1347,66,65])).
% 6.47/6.55 cnf(1373,plain,
% 6.47/6.55 (P6(a46,a48)),
% 6.47/6.55 inference(scs_inference,[],[90,1344,66])).
% 6.47/6.55 cnf(1379,plain,
% 6.47/6.55 (E(f4(f4(a51,f6(a50,a49)),a52),a46)),
% 6.47/6.55 inference(scs_inference,[],[95,382,385,1352,1373,66,231,2])).
% 6.47/6.55 cnf(1387,plain,
% 6.47/6.55 ($false),
% 6.47/6.55 inference(scs_inference,[],[370,338,339,340,1379,344]),
% 6.47/6.55 ['proof']).
% 6.47/6.55 % SZS output end Proof
% 6.47/6.55 % Total time :5.880000s
%------------------------------------------------------------------------------