%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC279+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 : n013.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 16:14:51 EDT 2024
% Result : Theorem 7.54s 7.62s
% Output : CNFRefutation 7.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC279+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Jun 20 02:02:39 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.55/0.59 start to proof:theBenchmark
% 7.52/7.61 %-------------------------------------------
% 7.52/7.61 % File :CSE---1.7
% 7.52/7.61 % Problem :theBenchmark
% 7.52/7.61 % Transform :cnf
% 7.52/7.61 % Format :tptp:raw
% 7.52/7.61 % Command :java -jar mcs_scs.jar %d %s
% 7.52/7.61
% 7.52/7.61 % Result :Theorem 6.850000s
% 7.52/7.61 % Output :CNFRefutation 6.850000s
% 7.52/7.61 %-------------------------------------------
% 7.52/7.61 %--------------------------------------------------------------------------
% 7.52/7.61 % File : SWC279+1 : TPTP v8.2.0. Released v2.4.0.
% 7.52/7.61 % Domain : Software Creation
% 7.52/7.61 % Problem : cond_pst_sorted2_x_pst_sorted2
% 7.52/7.61 % Version : [Wei00] axioms.
% 7.52/7.61 % English : Find components in a software library that match a given target
% 7.52/7.61 % specification given in first-order logic. The components are
% 7.52/7.61 % specified in first-order logic as well. The problem represents
% 7.52/7.61 % a test of one library module specification against a target
% 7.52/7.61 % specification.
% 7.52/7.61
% 7.52/7.61 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 7.52/7.61 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 7.52/7.61 % Source : [Wei00]
% 7.52/7.61 % Names : cond_pst_sorted2_x_pst_sorted2 [Wei00]
% 7.52/7.61
% 7.52/7.61 % Status : Theorem
% 7.52/7.61 % Rating : 0.39 v8.2.0, 0.36 v7.5.0, 0.38 v7.4.0, 0.27 v7.3.0, 0.41 v7.2.0, 0.38 v7.1.0, 0.43 v7.0.0, 0.33 v6.4.0, 0.38 v6.3.0, 0.46 v6.2.0, 0.52 v6.1.0, 0.60 v6.0.0, 0.48 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, 0.57 v4.0.0, 0.58 v3.7.0, 0.60 v3.5.0, 0.63 v3.3.0, 0.50 v3.2.0, 0.64 v3.1.0, 0.78 v2.7.0, 0.67 v2.6.0, 0.50 v2.5.0, 0.33 v2.4.0
% 7.52/7.61 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 7.52/7.61 % Number of atoms : 418 ( 75 equ)
% 7.52/7.61 % Maximal formula atoms : 24 ( 4 avg)
% 7.52/7.61 % Number of connectives : 353 ( 31 ~; 15 |; 46 &)
% 7.52/7.61 % ( 26 <=>; 235 =>; 0 <=; 0 <~>)
% 7.52/7.61 % Maximal formula depth : 24 ( 7 avg)
% 7.52/7.61 % Maximal term depth : 4 ( 1 avg)
% 7.52/7.61 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 7.52/7.61 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 7.52/7.61 % Number of variables : 215 ( 198 !; 17 ?)
% 7.52/7.61 % SPC : FOF_THM_RFO_SEQ
% 7.52/7.62
% 7.52/7.62 % Comments :
% 7.52/7.62 %--------------------------------------------------------------------------
% 7.52/7.62 %----Include list specification axioms
% 7.52/7.62 include('Axioms/SWC001+0.ax').
% 7.52/7.62 %--------------------------------------------------------------------------
% 7.52/7.62 fof(co1,conjecture,
% 7.52/7.62 ! [U] :
% 7.52/7.62 ( ssList(U)
% 7.52/7.62 => ! [V] :
% 7.52/7.62 ( ssList(V)
% 7.52/7.62 => ! [W] :
% 7.52/7.62 ( ssList(W)
% 7.52/7.62 => ! [X] :
% 7.52/7.62 ( ssList(X)
% 7.52/7.62 => ( V != X
% 7.52/7.62 | U != W
% 7.52/7.62 | ? [Y] :
% 7.52/7.62 ( ssItem(Y)
% 7.52/7.62 & ? [Z] :
% 7.52/7.62 ( ssList(Z)
% 7.52/7.62 & ? [X1] :
% 7.52/7.62 ( ssList(X1)
% 7.52/7.62 & app(app(Z,cons(Y,nil)),X1) = W
% 7.54/7.62 & ? [X2] :
% 7.54/7.62 ( ssItem(X2)
% 7.54/7.62 & ( ( ~ leq(Y,X2)
% 7.54/7.62 & memberP(X1,X2) )
% 7.54/7.62 | ( ~ leq(X2,Y)
% 7.54/7.62 & memberP(Z,X2) ) ) ) ) ) )
% 7.54/7.62 | ! [X3] :
% 7.54/7.62 ( ssItem(X3)
% 7.54/7.62 => ! [X4] :
% 7.54/7.62 ( ssList(X4)
% 7.54/7.62 => ! [X5] :
% 7.54/7.62 ( ssList(X5)
% 7.54/7.62 => ( app(app(X4,cons(X3,nil)),X5) != U
% 7.54/7.62 | ! [X6] :
% 7.54/7.62 ( ssItem(X6)
% 7.54/7.62 => ( ( ~ memberP(X4,X6)
% 7.54/7.62 | leq(X6,X3) )
% 7.54/7.62 & ( ~ memberP(X5,X6)
% 7.54/7.62 | leq(X3,X6) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 7.54/7.62
% 7.54/7.62 %--------------------------------------------------------------------------
% 7.54/7.62 %-------------------------------------------
% 7.54/7.62 % Proof found
% 7.54/7.62 % SZS status Theorem for theBenchmark
% 7.54/7.62 % SZS output start Proof
% 7.54/7.62 %ClaNum:293(EqnAxiom:88)
% 7.54/7.62 %VarNum:1030(SingletonVarNum:335)
% 7.54/7.62 %MaxLitNum:10
% 7.54/7.62 %MaxfuncDepth:4
% 7.54/7.62 %SharedTerms:41
% 7.54/7.62 %goalClause: 89 90 93 94 96 97 98 99 100 101 109 168 175 176 189 280 281
% 7.54/7.62 %singleGoalClaCount:11
% 7.54/7.62 [89]E(a1,a2)
% 7.54/7.62 [90]E(a46,a48)
% 7.54/7.62 [91]P1(a3)
% 7.54/7.62 [92]P1(a16)
% 7.54/7.62 [93]P1(a49)
% 7.54/7.62 [94]P1(a50)
% 7.54/7.62 [95]P15(a53)
% 7.54/7.62 [96]P15(a2)
% 7.54/7.62 [97]P15(a46)
% 7.54/7.62 [98]P15(a1)
% 7.54/7.62 [99]P15(a48)
% 7.54/7.62 [100]P15(a51)
% 7.54/7.62 [101]P15(a52)
% 7.54/7.62 [102]P2(a53)
% 7.54/7.62 [103]P16(a53)
% 7.54/7.62 [104]P17(a53)
% 7.54/7.62 [105]P19(a53)
% 7.54/7.62 [106]P18(a53)
% 7.54/7.62 [107]P3(a53)
% 7.54/7.62 [108]P4(a53)
% 7.54/7.62 [110]~E(a16,a3)
% 7.54/7.62 [111]~P5(a53)
% 7.54/7.62 [109]E(f5(f5(a51,f4(a49,a53)),a52),a2)
% 7.54/7.62 [168]P11(a51,a50)+P11(a52,a50)
% 7.54/7.62 [175]P11(a51,a50)+~P8(a49,a50)
% 7.54/7.62 [176]P11(a52,a50)+~P8(a50,a49)
% 7.54/7.62 [189]~P8(a49,a50)+~P8(a50,a49)
% 7.54/7.62 [120]~P15(x1201)+P6(x1201,a53)
% 7.54/7.62 [121]~P15(x1211)+P7(x1211,a53)
% 7.54/7.62 [122]~P15(x1221)+P14(x1221,a53)
% 7.54/7.62 [126]~P15(x1261)+P6(x1261,x1261)
% 7.54/7.62 [127]~P15(x1271)+P7(x1271,x1271)
% 7.54/7.62 [128]~P15(x1281)+P14(x1281,x1281)
% 7.54/7.62 [129]~P1(x1291)+P8(x1291,x1291)
% 7.54/7.62 [130]~P1(x1301)+P9(x1301,x1301)
% 7.54/7.62 [171]~P1(x1711)+~P11(a53,x1711)
% 7.54/7.62 [177]~P12(x1771,x1771)+~P1(x1771)
% 7.54/7.62 [124]~P15(x1241)+E(f5(x1241,a53),x1241)
% 7.54/7.62 [125]~P15(x1251)+E(f5(a53,x1251),x1251)
% 7.54/7.62 [182]~P1(x1821)+P2(f4(x1821,a53))
% 7.54/7.62 [183]~P1(x1831)+P16(f4(x1831,a53))
% 7.54/7.62 [184]~P1(x1841)+P17(f4(x1841,a53))
% 7.54/7.62 [185]~P1(x1851)+P19(f4(x1851,a53))
% 7.54/7.62 [186]~P1(x1861)+P18(f4(x1861,a53))
% 7.54/7.62 [187]~P1(x1871)+P3(f4(x1871,a53))
% 7.54/7.62 [188]~P1(x1881)+P4(f4(x1881,a53))
% 7.54/7.62 [165]~P15(x1651)+~E(a53,x1651)+P6(a53,x1651)
% 7.54/7.62 [166]~P15(x1661)+~E(a53,x1661)+P7(a53,x1661)
% 7.54/7.62 [167]~P15(x1671)+~E(a53,x1671)+P14(a53,x1671)
% 7.54/7.62 [172]~P15(x1721)+~P6(a53,x1721)+E(a53,x1721)
% 7.54/7.62 [173]~P15(x1731)+~P7(a53,x1731)+E(a53,x1731)
% 7.54/7.62 [174]~P15(x1741)+~P14(a53,x1741)+E(a53,x1741)
% 7.54/7.62 [112]~P15(x1121)+E(f54(x1121),f27(x1121))+E(a53,x1121)
% 7.54/7.62 [113]~P15(x1131)+E(f60(x1131),f45(x1131))+E(a53,x1131)
% 7.54/7.62 [114]~P15(x1141)+E(a53,x1141)+P1(f54(x1141))
% 7.54/7.62 [115]~P15(x1151)+E(a53,x1151)+P1(f28(x1151))
% 7.54/7.62 [116]~P15(x1161)+E(a53,x1161)+P1(f27(x1161))
% 7.54/7.62 [117]~P15(x1171)+E(a53,x1171)+P15(f60(x1171))
% 7.54/7.62 [118]~P15(x1181)+E(a53,x1181)+P15(f29(x1181))
% 7.54/7.62 [119]~P15(x1191)+E(a53,x1191)+P15(f45(x1191))
% 7.54/7.62 [123]P3(x1231)+~P15(x1231)+E(f30(x1231),f36(x1231))
% 7.54/7.62 [131]~P15(x1311)+P2(x1311)+P1(f6(x1311))
% 7.54/7.62 [132]~P15(x1321)+P2(x1321)+P1(f7(x1321))
% 7.54/7.62 [133]~P15(x1331)+P2(x1331)+P15(f8(x1331))
% 7.54/7.62 [134]~P15(x1341)+P2(x1341)+P15(f9(x1341))
% 7.54/7.62 [135]~P15(x1351)+P2(x1351)+P15(f10(x1351))
% 7.54/7.62 [136]~P15(x1361)+P16(x1361)+P1(f11(x1361))
% 7.54/7.62 [137]~P15(x1371)+P16(x1371)+P1(f12(x1371))
% 7.54/7.62 [138]~P15(x1381)+P16(x1381)+P15(f13(x1381))
% 7.54/7.62 [139]~P15(x1391)+P16(x1391)+P15(f14(x1391))
% 7.54/7.62 [140]~P15(x1401)+P16(x1401)+P15(f15(x1401))
% 7.54/7.62 [141]~P15(x1411)+P17(x1411)+P1(f17(x1411))
% 7.54/7.62 [142]~P15(x1421)+P17(x1421)+P1(f18(x1421))
% 7.54/7.62 [143]~P15(x1431)+P17(x1431)+P15(f19(x1431))
% 7.54/7.62 [144]~P15(x1441)+P17(x1441)+P15(f20(x1441))
% 7.54/7.62 [145]~P15(x1451)+P17(x1451)+P15(f21(x1451))
% 7.54/7.62 [146]~P15(x1461)+P19(x1461)+P1(f22(x1461))
% 7.54/7.62 [147]~P15(x1471)+P19(x1471)+P1(f23(x1471))
% 7.54/7.62 [148]~P15(x1481)+P19(x1481)+P15(f24(x1481))
% 7.54/7.62 [149]~P15(x1491)+P19(x1491)+P15(f25(x1491))
% 7.54/7.62 [150]~P15(x1501)+P19(x1501)+P15(f26(x1501))
% 7.54/7.62 [151]~P15(x1511)+P18(x1511)+P1(f31(x1511))
% 7.54/7.62 [152]~P15(x1521)+P18(x1521)+P1(f32(x1521))
% 7.54/7.62 [153]~P15(x1531)+P18(x1531)+P15(f33(x1531))
% 7.54/7.62 [154]~P15(x1541)+P18(x1541)+P15(f34(x1541))
% 7.54/7.62 [155]~P15(x1551)+P18(x1551)+P15(f35(x1551))
% 7.54/7.62 [156]~P15(x1561)+P3(x1561)+P1(f30(x1561))
% 7.54/7.62 [157]~P15(x1571)+P3(x1571)+P1(f36(x1571))
% 7.54/7.62 [158]~P15(x1581)+P3(x1581)+P15(f37(x1581))
% 7.54/7.62 [159]~P15(x1591)+P3(x1591)+P15(f38(x1591))
% 7.54/7.62 [160]~P15(x1601)+P3(x1601)+P15(f39(x1601))
% 7.54/7.62 [161]~P15(x1611)+P4(x1611)+P1(f40(x1611))
% 7.54/7.62 [162]~P15(x1621)+P4(x1621)+P1(f42(x1621))
% 7.54/7.62 [163]~P15(x1631)+P4(x1631)+P15(f43(x1631))
% 7.54/7.62 [164]~P15(x1641)+P4(x1641)+P15(f44(x1641))
% 7.54/7.62 [169]~P15(x1691)+P4(x1691)+~E(f42(x1691),f40(x1691))
% 7.54/7.62 [170]~P15(x1701)+~P5(x1701)+P1(f55(x1701))
% 7.54/7.62 [194]~P15(x1941)+P2(x1941)+P8(f6(x1941),f7(x1941))
% 7.54/7.62 [195]~P15(x1951)+P2(x1951)+P8(f7(x1951),f6(x1951))
% 7.54/7.62 [215]~P15(x2151)+P16(x2151)+~P8(f11(x2151),f12(x2151))
% 7.54/7.62 [216]~P15(x2161)+P16(x2161)+~P8(f12(x2161),f11(x2161))
% 7.54/7.62 [217]~P15(x2171)+P17(x2171)+~P12(f17(x2171),f18(x2171))
% 7.54/7.62 [218]~P15(x2181)+P17(x2181)+~P12(f18(x2181),f17(x2181))
% 7.54/7.62 [219]~P15(x2191)+P19(x2191)+~P8(f22(x2191),f23(x2191))
% 7.54/7.62 [220]~P15(x2201)+P18(x2201)+~P12(f31(x2201),f32(x2201))
% 7.54/7.62 [181]~P15(x1811)+~P5(x1811)+E(f4(f55(x1811),a53),x1811)
% 7.54/7.62 [190]~P15(x1901)+E(a53,x1901)+E(f4(f54(x1901),f60(x1901)),x1901)
% 7.54/7.62 [191]~P15(x1911)+E(a53,x1911)+E(f4(f28(x1911),f29(x1911)),x1911)
% 7.54/7.62 [282]P2(x2821)+~P15(x2821)+E(f5(f5(f8(x2821),f4(f6(x2821),f9(x2821))),f4(f7(x2821),f10(x2821))),x2821)
% 7.54/7.62 [283]P16(x2831)+~P15(x2831)+E(f5(f5(f13(x2831),f4(f11(x2831),f14(x2831))),f4(f12(x2831),f15(x2831))),x2831)
% 7.54/7.62 [284]P17(x2841)+~P15(x2841)+E(f5(f5(f19(x2841),f4(f17(x2841),f20(x2841))),f4(f18(x2841),f21(x2841))),x2841)
% 7.54/7.62 [285]P19(x2851)+~P15(x2851)+E(f5(f5(f24(x2851),f4(f22(x2851),f25(x2851))),f4(f23(x2851),f26(x2851))),x2851)
% 7.54/7.62 [286]P18(x2861)+~P15(x2861)+E(f5(f5(f33(x2861),f4(f31(x2861),f34(x2861))),f4(f32(x2861),f35(x2861))),x2861)
% 7.54/7.62 [287]P3(x2871)+~P15(x2871)+E(f5(f5(f37(x2871),f4(f30(x2871),f38(x2871))),f4(f36(x2871),f39(x2871))),x2871)
% 7.54/7.62 [278]P4(x2781)+~P15(x2781)+E(f5(f43(x2781),f4(f40(x2781),f4(f42(x2781),f44(x2781)))),x2781)
% 7.54/7.62 [192]~P1(x1921)+~P15(x1922)+~E(f4(x1921,x1922),a53)
% 7.54/7.62 [193]~P1(x1931)+~P15(x1932)+~E(f4(x1931,x1932),x1932)
% 7.54/7.62 [202]~P1(x2021)+~P15(x2022)+P15(f4(x2021,x2022))
% 7.54/7.62 [203]~P15(x2032)+~P15(x2031)+P15(f5(x2031,x2032))
% 7.54/7.62 [204]~P1(x2041)+~P15(x2042)+E(f54(f4(x2041,x2042)),x2041)
% 7.54/7.62 [205]~P1(x2051)+~P15(x2052)+E(f60(f4(x2051,x2052)),x2052)
% 7.54/7.62 [232]~P1(x2321)+~P15(x2322)+E(f5(f4(x2321,a53),x2322),f4(x2321,x2322))
% 7.54/7.62 [178]P13(x1781,x1782)+~P1(x1782)+~P1(x1781)+E(x1781,x1782)
% 7.54/7.62 [179]P13(x1791,x1792)+~P15(x1792)+~P15(x1791)+E(x1791,x1792)
% 7.54/7.62 [199]~P1(x1992)+~P1(x1991)+~P13(x1991,x1992)+~E(x1991,x1992)
% 7.54/7.62 [200]~P1(x2002)+~P1(x2001)+~P12(x2001,x2002)+~E(x2001,x2002)
% 7.54/7.62 [201]~P15(x2012)+~P15(x2011)+~P13(x2011,x2012)+~E(x2011,x2012)
% 7.54/7.62 [210]~P1(x2101)+~P1(x2102)+~P9(x2102,x2101)+P8(x2101,x2102)
% 7.54/7.62 [211]~P1(x2112)+~P1(x2111)+~P12(x2111,x2112)+P8(x2111,x2112)
% 7.54/7.62 [212]~P1(x2121)+~P1(x2122)+~P10(x2122,x2121)+P12(x2121,x2122)
% 7.54/7.62 [213]~P1(x2131)+~P1(x2132)+~P8(x2132,x2131)+P9(x2131,x2132)
% 7.54/7.62 [214]~P1(x2141)+~P1(x2142)+~P12(x2142,x2141)+P10(x2141,x2142)
% 7.54/7.62 [223]~P12(x2231,x2232)+~P12(x2232,x2231)+~P1(x2231)+~P1(x2232)
% 7.54/7.62 [224]~P10(x2241,x2242)+~P10(x2242,x2241)+~P1(x2241)+~P1(x2242)
% 7.54/7.62 [196]~P15(x1962)+~P15(x1961)+E(a53,x1961)+~E(f5(x1962,x1961),a53)
% 7.54/7.62 [197]~P15(x1972)+~P15(x1971)+E(a53,x1971)+~E(f5(x1971,x1972),a53)
% 7.54/7.62 [198]~P1(x1982)+~P15(x1981)+P5(x1981)+~E(f4(x1982,a53),x1981)
% 7.54/7.62 [207]~P1(x2071)+~P15(x2072)+~E(a53,x2072)+P19(f4(x2071,x2072))
% 7.54/7.62 [208]~P1(x2081)+~P15(x2082)+~E(a53,x2082)+P18(f4(x2081,x2082))
% 7.54/7.62 [235]~P1(x2352)+~P15(x2351)+~P11(x2351,x2352)+P15(f41(x2351,x2352))
% 7.54/7.62 [236]~P1(x2362)+~P15(x2361)+~P11(x2361,x2362)+P15(f47(x2361,x2362))
% 7.54/7.62 [237]~P15(x2372)+~P15(x2371)+~P6(x2371,x2372)+P15(f56(x2371,x2372))
% 7.54/7.62 [238]~P15(x2382)+~P15(x2381)+~P7(x2381,x2382)+P15(f57(x2381,x2382))
% 7.54/7.62 [239]~P15(x2392)+~P15(x2391)+~P14(x2391,x2392)+P15(f58(x2391,x2392))
% 7.54/7.62 [240]~P15(x2402)+~P15(x2401)+~P14(x2401,x2402)+P15(f59(x2401,x2402))
% 7.54/7.62 [209]~P15(x2092)+~P15(x2091)+E(a53,x2091)+E(f54(f5(x2091,x2092)),f54(x2091))
% 7.54/7.62 [234]~P15(x2342)+~P15(x2341)+E(a53,x2341)+E(f60(f5(x2341,x2342)),f5(f60(x2341),x2342))
% 7.54/7.62 [247]~P15(x2472)+~P15(x2471)+~P6(x2472,x2471)+E(f5(x2471,f56(x2472,x2471)),x2472)
% 7.54/7.62 [248]~P15(x2482)+~P15(x2481)+~P7(x2481,x2482)+E(f5(f57(x2481,x2482),x2482),x2481)
% 7.54/7.62 [277]~P15(x2772)+~P15(x2771)+~P14(x2771,x2772)+E(f5(f5(f58(x2771,x2772),x2772),f59(x2771,x2772)),x2771)
% 7.54/7.62 [276]~P1(x2762)+~P15(x2761)+~P11(x2761,x2762)+E(f5(f41(x2761,x2762),f4(x2762,f47(x2761,x2762))),x2761)
% 7.54/7.62 [266]~P1(x2661)+~P15(x2662)+~P15(x2663)+E(f5(f4(x2661,x2662),x2663),f4(x2661,f5(x2662,x2663)))
% 7.54/7.62 [267]~P15(x2673)+~P15(x2672)+~P15(x2671)+E(f5(f5(x2671,x2672),x2673),f5(x2671,f5(x2672,x2673)))
% 7.54/7.62 [222]P12(x2221,x2222)+~P1(x2222)+~P1(x2221)+~P8(x2221,x2222)+E(x2221,x2222)
% 7.54/7.62 [227]~P1(x2272)+~P1(x2271)+~P8(x2272,x2271)+~P8(x2271,x2272)+E(x2271,x2272)
% 7.54/7.62 [228]~P1(x2282)+~P1(x2281)+~P9(x2282,x2281)+~P9(x2281,x2282)+E(x2281,x2282)
% 7.54/7.62 [229]~P15(x2292)+~P15(x2291)+~P6(x2292,x2291)+~P6(x2291,x2292)+E(x2291,x2292)
% 7.54/7.62 [230]~P15(x2302)+~P15(x2301)+~P7(x2302,x2301)+~P7(x2301,x2302)+E(x2301,x2302)
% 7.54/7.62 [231]~P15(x2312)+~P15(x2311)+~P14(x2312,x2311)+~P14(x2311,x2312)+E(x2311,x2312)
% 7.54/7.62 [180]~P15(x1801)+~P15(x1802)+~E(a53,x1801)+~E(a53,x1802)+E(f5(x1801,x1802),a53)
% 7.54/7.62 [243]P19(x2431)+~P15(x2431)+~P1(x2432)+E(a53,x2431)+~P19(f4(x2432,x2431))
% 7.54/7.62 [244]P18(x2441)+~P15(x2441)+~P1(x2442)+E(a53,x2441)+~P18(f4(x2442,x2441))
% 7.54/7.63 [257]~P1(x2572)+~P15(x2571)+E(a53,x2571)+P8(x2572,f54(x2571))+~P19(f4(x2572,x2571))
% 7.54/7.63 [258]~P1(x2582)+~P15(x2581)+E(a53,x2581)+P12(x2582,f54(x2581))+~P18(f4(x2582,x2581))
% 7.54/7.63 [225]~P15(x2251)+~P15(x2252)+~P15(x2253)+P6(x2251,x2252)+~E(f5(x2252,x2253),x2251)
% 7.54/7.63 [226]~P15(x2261)+~P15(x2262)+~P15(x2263)+P7(x2261,x2262)+~E(f5(x2263,x2262),x2261)
% 7.54/7.63 [233]~E(x2333,x2331)+~P1(x2331)+~P1(x2333)+~P15(x2332)+P11(f4(x2331,x2332),x2333)
% 7.54/7.63 [241]~P15(x2412)+~P15(x2413)+~P15(x2411)+E(x2411,x2412)+~E(f5(x2413,x2411),f5(x2413,x2412))
% 7.54/7.63 [242]~P15(x2422)+~P15(x2423)+~P15(x2421)+E(x2421,x2422)+~E(f5(x2421,x2423),f5(x2422,x2423))
% 7.54/7.63 [259]~P1(x2591)+~P1(x2593)+~P15(x2592)+~P11(x2592,x2593)+P11(f4(x2591,x2592),x2593)
% 7.54/7.63 [260]~P1(x2603)+~P15(x2601)+~P15(x2602)+~P11(x2602,x2603)+P11(f5(x2601,x2602),x2603)
% 7.54/7.63 [261]~P1(x2613)+~P15(x2612)+~P15(x2611)+~P11(x2611,x2613)+P11(f5(x2611,x2612),x2613)
% 7.54/7.63 [262]~P15(x2622)+~P15(x2623)+~P15(x2621)+~P6(x2621,x2623)+P6(f5(x2621,x2622),x2623)
% 7.54/7.63 [263]~P15(x2631)+~P15(x2633)+~P15(x2632)+~P7(x2632,x2633)+P7(f5(x2631,x2632),x2633)
% 7.54/7.63 [264]~P1(x2642)+~P15(x2641)+~P19(x2641)+~P8(x2642,f54(x2641))+E(a53,x2641)+P19(f4(x2642,x2641))
% 7.54/7.63 [265]~P1(x2652)+~P15(x2651)+~P18(x2651)+~P12(x2652,f54(x2651))+E(a53,x2651)+P18(f4(x2652,x2651))
% 7.54/7.63 [249]~P15(x2492)+~P15(x2491)+~P6(x2493,x2492)+~P6(x2491,x2493)+P6(x2491,x2492)+~P15(x2493)
% 7.54/7.63 [250]~P15(x2502)+~P15(x2501)+~P7(x2503,x2502)+~P7(x2501,x2503)+P7(x2501,x2502)+~P15(x2503)
% 7.54/7.63 [251]~P15(x2512)+~P15(x2511)+~P14(x2513,x2512)+~P14(x2511,x2513)+P14(x2511,x2512)+~P15(x2513)
% 7.54/7.63 [252]~P1(x2522)+~P1(x2521)+~P8(x2523,x2522)+~P8(x2521,x2523)+P8(x2521,x2522)+~P1(x2523)
% 7.54/7.63 [253]~P1(x2532)+~P1(x2531)+~P8(x2531,x2533)+~P12(x2533,x2532)+P12(x2531,x2532)+~P1(x2533)
% 7.54/7.63 [254]~P1(x2542)+~P1(x2541)+~P12(x2543,x2542)+~P12(x2541,x2543)+P12(x2541,x2542)+~P1(x2543)
% 7.54/7.63 [255]~P1(x2552)+~P1(x2551)+~P9(x2553,x2552)+~P9(x2551,x2553)+P9(x2551,x2552)+~P1(x2553)
% 7.54/7.63 [256]~P1(x2562)+~P1(x2561)+~P10(x2563,x2562)+~P10(x2561,x2563)+P10(x2561,x2562)+~P1(x2563)
% 7.54/7.63 [268]~P1(x2682)+~P1(x2681)+~P15(x2683)+E(x2681,x2682)+P11(x2683,x2682)+~P11(f4(x2681,x2683),x2682)
% 7.54/7.63 [271]~P1(x2712)+~P15(x2711)+~P15(x2713)+P11(x2711,x2712)+P11(x2713,x2712)+~P11(f5(x2713,x2711),x2712)
% 7.54/7.63 [245]~P1(x2454)+~P1(x2453)+~P15(x2452)+~P15(x2451)+E(x2451,x2452)+~E(f4(x2453,x2452),f4(x2454,x2451))
% 7.54/7.63 [246]~P1(x2462)+~P1(x2461)+~P15(x2464)+~P15(x2463)+E(x2461,x2462)+~E(f4(x2461,x2463),f4(x2462,x2464))
% 7.54/7.63 [273]~P1(x2732)+~P1(x2731)+E(x2731,x2732)+~P15(x2733)+~P15(x2734)+~P6(f4(x2731,x2734),f4(x2732,x2733))
% 7.54/7.63 [275]~P15(x2752)+~P15(x2751)+P6(x2751,x2752)+~P1(x2753)+~P1(x2754)+~P6(f4(x2754,x2751),f4(x2753,x2752))
% 7.54/7.63 [269]~P1(x2692)+~P15(x2691)+~P15(x2694)+~P15(x2693)+P11(x2691,x2692)+~E(f5(x2693,f4(x2692,x2694)),x2691)
% 7.54/7.63 [270]~P15(x2701)+~P15(x2702)+~P15(x2704)+~P15(x2703)+P14(x2701,x2702)+~E(f5(f5(x2703,x2702),x2704),x2701)
% 7.54/7.63 [274]~P15(x2743)+~P15(x2741)+~P15(x2744)+~P15(x2742)+~P14(x2742,x2744)+P14(f5(f5(x2741,x2742),x2743),x2744)
% 7.54/7.63 [206]~P15(x2062)+~P15(x2061)+E(x2061,x2062)+E(a53,x2062)+E(a53,x2061)+~E(f54(x2061),f54(x2062))+~E(f60(x2061),f60(x2062))
% 7.54/7.63 [272]~E(x2721,x2723)+~P1(x2723)+~P1(x2721)+~P15(x2724)+~P15(x2722)+~P6(x2722,x2724)+P6(f4(x2721,x2722),f4(x2723,x2724))
% 7.54/7.63 [280]~P1(x2802)+~P1(x2801)+~P15(x2803)+~P15(x2804)+~P11(x2804,x2802)+P8(x2801,x2802)+~E(f5(f5(x2803,f4(x2801,a53)),x2804),a1)
% 7.54/7.63 [281]~P1(x2812)+~P1(x2811)+~P15(x2814)+~P15(x2813)+~P11(x2813,x2811)+P8(x2811,x2812)+~E(f5(f5(x2813,f4(x2812,a53)),x2814),a1)
% 7.54/7.63 [279]~P1(x2792)+~P1(x2791)+~P15(x2794)+~P15(x2793)+~P15(x2795)+~P4(x2795)+E(x2791,x2792)+~E(f5(x2793,f4(x2791,f4(x2792,x2794))),x2795)
% 7.54/7.63 [288]~P1(x2882)+~P1(x2881)+~P15(x2885)+~P15(x2884)+~P15(x2883)+~P15(x2886)+~P3(x2886)+~E(x2881,x2882)+~E(f5(f5(x2883,f4(x2881,x2884)),f4(x2882,x2885)),x2886)
% 7.54/7.63 [289]~P1(x2892)+~P1(x2891)+~P15(x2895)+~P15(x2894)+~P15(x2893)+~P15(x2896)+~P19(x2896)+P8(x2891,x2892)+~E(f5(f5(x2893,f4(x2891,x2894)),f4(x2892,x2895)),x2896)
% 7.54/7.63 [290]~P1(x2902)+~P1(x2901)+~P15(x2905)+~P15(x2904)+~P15(x2903)+~P15(x2906)+~P18(x2906)+P12(x2901,x2902)+~E(f5(f5(x2903,f4(x2901,x2904)),f4(x2902,x2905)),x2906)
% 7.54/7.63 [291]P8(x2912,x2911)+~P1(x2911)+~P1(x2912)+~P15(x2915)+~P15(x2914)+~P15(x2913)+~P15(x2916)+~P16(x2916)+P8(x2911,x2912)+~E(f5(f5(x2913,f4(x2912,x2914)),f4(x2911,x2915)),x2916)
% 7.54/7.63 [292]P12(x2922,x2921)+~P1(x2921)+~P1(x2922)+~P15(x2925)+~P15(x2924)+~P15(x2923)+~P15(x2926)+~P17(x2926)+P12(x2921,x2922)+~E(f5(f5(x2923,f4(x2922,x2924)),f4(x2921,x2925)),x2926)
% 7.54/7.63 [293]~P1(x2934)+~P1(x2932)+~P15(x2935)+~P15(x2933)+~P15(x2931)+~P15(x2936)+~P2(x2936)+~P8(x2934,x2932)+~P8(x2932,x2934)+~E(f5(f5(x2931,f4(x2932,x2933)),f4(x2934,x2935)),x2936)
% 7.54/7.63 %EqnAxiom
% 7.54/7.63 [1]E(x11,x11)
% 7.54/7.63 [2]E(x22,x21)+~E(x21,x22)
% 7.54/7.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 7.54/7.63 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 7.54/7.63 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 7.54/7.63 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 7.54/7.63 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 7.54/7.63 [8]~E(x81,x82)+E(f7(x81),f7(x82))
% 7.54/7.63 [9]~E(x91,x92)+E(f54(x91),f54(x92))
% 7.54/7.63 [10]~E(x101,x102)+E(f27(x101),f27(x102))
% 7.54/7.63 [11]~E(x111,x112)+E(f60(x111),f60(x112))
% 7.54/7.63 [12]~E(x121,x122)+E(f45(x121),f45(x122))
% 7.54/7.63 [13]~E(x131,x132)+E(f34(x131),f34(x132))
% 7.54/7.63 [14]~E(x141,x142)+E(f28(x141),f28(x142))
% 7.54/7.63 [15]~E(x151,x152)+E(f47(x151,x153),f47(x152,x153))
% 7.54/7.63 [16]~E(x161,x162)+E(f47(x163,x161),f47(x163,x162))
% 7.54/7.63 [17]~E(x171,x172)+E(f41(x171,x173),f41(x172,x173))
% 7.54/7.63 [18]~E(x181,x182)+E(f41(x183,x181),f41(x183,x182))
% 7.54/7.63 [19]~E(x191,x192)+E(f29(x191),f29(x192))
% 7.54/7.63 [20]~E(x201,x202)+E(f57(x201,x203),f57(x202,x203))
% 7.54/7.63 [21]~E(x211,x212)+E(f57(x213,x211),f57(x213,x212))
% 7.54/7.63 [22]~E(x221,x222)+E(f30(x221),f30(x222))
% 7.54/7.63 [23]~E(x231,x232)+E(f36(x231),f36(x232))
% 7.54/7.63 [24]~E(x241,x242)+E(f9(x241),f9(x242))
% 7.54/7.63 [25]~E(x251,x252)+E(f6(x251),f6(x252))
% 7.54/7.63 [26]~E(x261,x262)+E(f11(x261),f11(x262))
% 7.54/7.63 [27]~E(x271,x272)+E(f56(x271,x273),f56(x272,x273))
% 7.54/7.63 [28]~E(x281,x282)+E(f56(x283,x281),f56(x283,x282))
% 7.54/7.63 [29]~E(x291,x292)+E(f8(x291),f8(x292))
% 7.54/7.63 [30]~E(x301,x302)+E(f17(x301),f17(x302))
% 7.54/7.63 [31]~E(x311,x312)+E(f10(x311),f10(x312))
% 7.54/7.63 [32]~E(x321,x322)+E(f58(x321,x323),f58(x322,x323))
% 7.54/7.63 [33]~E(x331,x332)+E(f58(x333,x331),f58(x333,x332))
% 7.54/7.63 [34]~E(x341,x342)+E(f12(x341),f12(x342))
% 7.54/7.63 [35]~E(x351,x352)+E(f13(x351),f13(x352))
% 7.54/7.63 [36]~E(x361,x362)+E(f14(x361),f14(x362))
% 7.54/7.63 [37]~E(x371,x372)+E(f15(x371),f15(x372))
% 7.54/7.63 [38]~E(x381,x382)+E(f38(x381),f38(x382))
% 7.54/7.63 [39]~E(x391,x392)+E(f18(x391),f18(x392))
% 7.54/7.63 [40]~E(x401,x402)+E(f19(x401),f19(x402))
% 7.54/7.63 [41]~E(x411,x412)+E(f20(x411),f20(x412))
% 7.54/7.63 [42]~E(x421,x422)+E(f21(x421),f21(x422))
% 7.54/7.63 [43]~E(x431,x432)+E(f22(x431),f22(x432))
% 7.54/7.63 [44]~E(x441,x442)+E(f23(x441),f23(x442))
% 7.54/7.63 [45]~E(x451,x452)+E(f24(x451),f24(x452))
% 7.54/7.63 [46]~E(x461,x462)+E(f25(x461),f25(x462))
% 7.54/7.63 [47]~E(x471,x472)+E(f26(x471),f26(x472))
% 7.54/7.63 [48]~E(x481,x482)+E(f31(x481),f31(x482))
% 7.54/7.63 [49]~E(x491,x492)+E(f32(x491),f32(x492))
% 7.54/7.63 [50]~E(x501,x502)+E(f33(x501),f33(x502))
% 7.54/7.63 [51]~E(x511,x512)+E(f37(x511),f37(x512))
% 7.54/7.63 [52]~E(x521,x522)+E(f35(x521),f35(x522))
% 7.54/7.63 [53]~E(x531,x532)+E(f44(x531),f44(x532))
% 7.54/7.63 [54]~E(x541,x542)+E(f39(x541),f39(x542))
% 7.54/7.63 [55]~E(x551,x552)+E(f59(x551,x553),f59(x552,x553))
% 7.54/7.63 [56]~E(x561,x562)+E(f59(x563,x561),f59(x563,x562))
% 7.54/7.63 [57]~E(x571,x572)+E(f43(x571),f43(x572))
% 7.54/7.63 [58]~E(x581,x582)+E(f55(x581),f55(x582))
% 7.54/7.63 [59]~E(x591,x592)+E(f40(x591),f40(x592))
% 7.54/7.63 [60]~E(x601,x602)+E(f42(x601),f42(x602))
% 7.54/7.63 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 7.54/7.63 [62]P8(x622,x623)+~E(x621,x622)+~P8(x621,x623)
% 7.54/7.63 [63]P8(x633,x632)+~E(x631,x632)+~P8(x633,x631)
% 7.54/7.63 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 7.54/7.63 [65]~P2(x651)+P2(x652)+~E(x651,x652)
% 7.54/7.63 [66]P11(x662,x663)+~E(x661,x662)+~P11(x661,x663)
% 7.54/7.63 [67]P11(x673,x672)+~E(x671,x672)+~P11(x673,x671)
% 7.54/7.63 [68]~P19(x681)+P19(x682)+~E(x681,x682)
% 7.54/7.63 [69]~P5(x691)+P5(x692)+~E(x691,x692)
% 7.54/7.63 [70]~P16(x701)+P16(x702)+~E(x701,x702)
% 7.54/7.63 [71]~P18(x711)+P18(x712)+~E(x711,x712)
% 7.54/7.63 [72]P13(x722,x723)+~E(x721,x722)+~P13(x721,x723)
% 7.54/7.63 [73]P13(x733,x732)+~E(x731,x732)+~P13(x733,x731)
% 7.54/7.63 [74]P12(x742,x743)+~E(x741,x742)+~P12(x741,x743)
% 7.54/7.63 [75]P12(x753,x752)+~E(x751,x752)+~P12(x753,x751)
% 7.54/7.63 [76]~P3(x761)+P3(x762)+~E(x761,x762)
% 7.54/7.63 [77]~P4(x771)+P4(x772)+~E(x771,x772)
% 7.54/7.63 [78]~P17(x781)+P17(x782)+~E(x781,x782)
% 7.54/7.63 [79]P6(x792,x793)+~E(x791,x792)+~P6(x791,x793)
% 7.54/7.63 [80]P6(x803,x802)+~E(x801,x802)+~P6(x803,x801)
% 7.54/7.63 [81]P9(x812,x813)+~E(x811,x812)+~P9(x811,x813)
% 7.54/7.63 [82]P9(x823,x822)+~E(x821,x822)+~P9(x823,x821)
% 7.54/7.63 [83]P14(x832,x833)+~E(x831,x832)+~P14(x831,x833)
% 7.54/7.63 [84]P14(x843,x842)+~E(x841,x842)+~P14(x843,x841)
% 7.54/7.63 [85]P7(x852,x853)+~E(x851,x852)+~P7(x851,x853)
% 7.54/7.63 [86]P7(x863,x862)+~E(x861,x862)+~P7(x863,x861)
% 7.54/7.63 [87]P10(x872,x873)+~E(x871,x872)+~P10(x871,x873)
% 7.54/7.63 [88]P10(x883,x882)+~E(x881,x882)+~P10(x883,x881)
% 7.54/7.63
% 7.54/7.63 %-------------------------------------------
% 7.54/7.63 cnf(346,plain,
% 7.54/7.63 (E(a1,f5(f5(a51,f4(a49,a53)),a52))),
% 7.54/7.63 inference(scs_inference,[],[89,109,91,2,177,3])).
% 7.54/7.63 cnf(358,plain,
% 7.54/7.63 (E(f5(f5(a51,f4(a49,a53)),a52),a1)),
% 7.54/7.63 inference(scs_inference,[],[346,2])).
% 7.54/7.63 cnf(583,plain,
% 7.54/7.63 (~P11(a52,a50)+P8(a49,a50)),
% 7.54/7.63 inference(scs_inference,[],[100,101,94,93,358,280])).
% 7.54/7.63 cnf(589,plain,
% 7.54/7.63 (P8(a50,a49)+P11(a52,a50)),
% 7.54/7.63 inference(scs_inference,[],[100,101,94,93,358,281,168])).
% 7.54/7.63 cnf(590,plain,
% 7.54/7.63 (P8(a50,a49)+~P8(a49,a50)),
% 7.54/7.63 inference(scs_inference,[],[100,101,94,93,358,281,168,175])).
% 7.54/7.63 cnf(1376,plain,
% 7.54/7.63 (P11(a52,a50)),
% 7.54/7.63 inference(scs_inference,[],[589,176])).
% 7.54/7.63 cnf(1377,plain,
% 7.54/7.63 (P8(a49,a50)),
% 7.54/7.63 inference(scs_inference,[],[1376,583])).
% 7.54/7.63 cnf(1383,plain,
% 7.54/7.63 (~P8(a50,a49)),
% 7.54/7.63 inference(scs_inference,[],[1377,189])).
% 7.54/7.63 cnf(1384,plain,
% 7.54/7.63 (P8(a50,a49)),
% 7.54/7.63 inference(scs_inference,[],[1377,590])).
% 7.54/7.63 cnf(1400,plain,
% 7.54/7.63 ($false),
% 7.54/7.63 inference(scs_inference,[],[1384,1383]),
% 7.54/7.63 ['proof']).
% 7.54/7.63 % SZS output end Proof
% 7.54/7.63 % Total time :6.850000s
%------------------------------------------------------------------------------