%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC153+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 16:14:16 EDT 2024
% Result : Theorem 0.67s 0.73s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC153+1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.12 % 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 04:02:09 EDT 2024
% 0.18/0.33 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 0.54/0.72 %-------------------------------------------
% 0.54/0.72 % File :CSE---1.7
% 0.54/0.72 % Problem :theBenchmark
% 0.54/0.72 % Transform :cnf
% 0.54/0.72 % Format :tptp:raw
% 0.54/0.72 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.72
% 0.54/0.72 % Result :Theorem 0.060000s
% 0.54/0.72 % Output :CNFRefutation 0.060000s
% 0.54/0.72 %-------------------------------------------
% 0.54/0.73 %--------------------------------------------------------------------------
% 0.54/0.73 % File : SWC153+1 : TPTP v8.2.0. Released v2.4.0.
% 0.54/0.73 % Domain : Software Creation
% 0.54/0.73 % Problem : cond_pst_cyc_sorted_x_pst_cyc_sorted
% 0.54/0.73 % Version : [Wei00] axioms.
% 0.54/0.73 % English : Find components in a software library that match a given target
% 0.54/0.73 % specification given in first-order logic. The components are
% 0.54/0.73 % specified in first-order logic as well. The problem represents
% 0.54/0.73 % a test of one library module specification against a target
% 0.54/0.73 % specification.
% 0.54/0.73
% 0.54/0.73 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.54/0.73 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.54/0.73 % Source : [Wei00]
% 0.54/0.73 % Names : cond_pst_cyc_sorted_x_pst_cyc_sorted [Wei00]
% 0.67/0.73
% 0.67/0.73 % Status : Theorem
% 0.67/0.73 % Rating : 0.36 v8.2.0, 0.39 v7.5.0, 0.44 v7.4.0, 0.27 v7.3.0, 0.41 v7.2.0, 0.38 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, 0.43 v5.5.0, 0.63 v5.4.0, 0.64 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 v3.4.0, 0.58 v3.3.0, 0.43 v3.2.0, 0.45 v3.1.0, 0.56 v2.7.0, 0.50 v2.6.0, 0.83 v2.4.0
% 0.67/0.73 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 0.67/0.73 % Number of atoms : 424 ( 75 equ)
% 0.67/0.73 % Maximal formula atoms : 30 ( 4 avg)
% 0.67/0.73 % Number of connectives : 360 ( 32 ~; 16 |; 49 &)
% 0.67/0.73 % ( 26 <=>; 237 =>; 0 <=; 0 <~>)
% 0.67/0.73 % Maximal formula depth : 30 ( 7 avg)
% 0.67/0.73 % Maximal term depth : 6 ( 1 avg)
% 0.67/0.73 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.67/0.73 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 0.67/0.73 % Number of variables : 219 ( 200 !; 19 ?)
% 0.67/0.73 % SPC : FOF_THM_RFO_SEQ
% 0.67/0.73
% 0.67/0.73 % Comments :
% 0.67/0.73 %--------------------------------------------------------------------------
% 0.67/0.73 %----Include list specification axioms
% 0.67/0.73 include('Axioms/SWC001+0.ax').
% 0.67/0.73 %--------------------------------------------------------------------------
% 0.67/0.73 fof(co1,conjecture,
% 0.67/0.73 ! [U] :
% 0.67/0.73 ( ssList(U)
% 0.67/0.73 => ! [V] :
% 0.67/0.73 ( ssList(V)
% 0.67/0.73 => ! [W] :
% 0.67/0.73 ( ssList(W)
% 0.67/0.73 => ! [X] :
% 0.67/0.73 ( ssList(X)
% 0.67/0.73 => ( X != V
% 0.67/0.73 | W != U
% 0.67/0.73 | ? [Y] :
% 0.67/0.73 ( ssItem(Y)
% 0.67/0.73 & ? [Z] :
% 0.67/0.73 ( ssItem(Z)
% 0.67/0.73 & ? [X1] :
% 0.67/0.73 ( ssList(X1)
% 0.67/0.73 & ? [X2] :
% 0.67/0.73 ( ssList(X2)
% 0.67/0.73 & ? [X3] :
% 0.67/0.73 ( ssList(X3)
% 0.67/0.73 & app(app(app(app(X1,cons(Y,nil)),X2),cons(Z,nil)),X3) = W
% 0.67/0.73 & leq(Z,Y)
% 0.67/0.73 & ( ~ leq(Y,Z)
% 0.67/0.73 | ? [X4] :
% 0.67/0.73 ( ssItem(X4)
% 0.67/0.73 & memberP(X2,X4)
% 0.67/0.73 & ( ~ leq(Y,X4)
% 0.67/0.73 | ~ leq(X4,Z) ) ) ) ) ) ) ) )
% 0.67/0.73 | ! [X5] :
% 0.67/0.73 ( ssItem(X5)
% 0.67/0.73 => ! [X6] :
% 0.67/0.73 ( ssItem(X6)
% 0.67/0.73 => ! [X7] :
% 0.67/0.73 ( ssList(X7)
% 0.67/0.73 => ! [X8] :
% 0.67/0.73 ( ssList(X8)
% 0.67/0.73 => ! [X9] :
% 0.67/0.73 ( ssList(X9)
% 0.67/0.73 => ( app(app(app(app(X7,cons(X5,nil)),X8),cons(X6,nil)),X9) != U
% 0.67/0.73 | ~ leq(X6,X5)
% 0.67/0.73 | ( ! [X10] :
% 0.67/0.73 ( ssItem(X10)
% 0.67/0.73 => ( ~ memberP(X8,X10)
% 0.67/0.73 | ( leq(X10,X6)
% 0.67/0.73 & leq(X5,X10) ) ) )
% 0.67/0.73 & leq(X5,X6) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.67/0.73
% 0.67/0.73 %--------------------------------------------------------------------------
% 0.67/0.73 %-------------------------------------------
% 0.67/0.73 % Proof found
% 0.67/0.73 % SZS status Theorem for theBenchmark
% 0.67/0.73 % SZS output start Proof
% 0.67/0.73 %ClaNum:295(EqnAxiom:88)
% 0.67/0.73 %VarNum:1056(SingletonVarNum:344)
% 0.67/0.73 %MaxLitNum:10
% 0.67/0.73 %MaxfuncDepth:4
% 0.67/0.73 %SharedTerms:49
% 0.67/0.73 %goalClause: 89 90 93 94 96 97 98 99 100 101 102 110 111 128 177 223 293 294 295
% 0.67/0.73 %singleGoalClaCount:13
% 0.67/0.73 [89]E(a1,a2)
% 0.67/0.73 [90]E(a46,a48)
% 0.67/0.73 [91]P1(a3)
% 0.67/0.73 [92]P1(a16)
% 0.67/0.73 [93]P1(a49)
% 0.67/0.73 [94]P1(a50)
% 0.67/0.73 [95]P15(a51)
% 0.67/0.73 [96]P15(a2)
% 0.67/0.73 [97]P15(a46)
% 0.67/0.73 [98]P15(a1)
% 0.67/0.73 [99]P15(a48)
% 0.67/0.73 [100]P15(a52)
% 0.67/0.73 [101]P15(a53)
% 0.67/0.73 [102]P15(a54)
% 0.67/0.73 [103]P2(a51)
% 0.67/0.73 [104]P16(a51)
% 0.67/0.73 [105]P17(a51)
% 0.67/0.73 [106]P19(a51)
% 0.67/0.73 [107]P18(a51)
% 0.67/0.73 [108]P3(a51)
% 0.67/0.73 [109]P4(a51)
% 0.67/0.73 [110]P5(a50,a49)
% 0.67/0.73 [112]~E(a16,a3)
% 0.67/0.73 [113]~P9(a51)
% 0.67/0.73 [111]E(f5(f5(f5(f5(a52,f4(a49,a51)),a53),f4(a50,a51)),a54),a2)
% 0.67/0.73 [128]P1(a56)+~P5(a49,a50)
% 0.67/0.73 [177]~P5(a49,a50)+P11(a53,a56)
% 0.67/0.73 [122]~P15(x1221)+P6(x1221,a51)
% 0.67/0.73 [123]~P15(x1231)+P10(x1231,a51)
% 0.67/0.73 [124]~P15(x1241)+P14(x1241,a51)
% 0.67/0.73 [129]~P15(x1291)+P6(x1291,x1291)
% 0.67/0.73 [130]~P15(x1301)+P10(x1301,x1301)
% 0.67/0.73 [131]~P15(x1311)+P14(x1311,x1311)
% 0.67/0.73 [132]~P1(x1321)+P5(x1321,x1321)
% 0.67/0.73 [133]~P1(x1331)+P7(x1331,x1331)
% 0.67/0.73 [173]~P1(x1731)+~P11(a51,x1731)
% 0.67/0.73 [178]~P12(x1781,x1781)+~P1(x1781)
% 0.67/0.73 [126]~P15(x1261)+E(f5(x1261,a51),x1261)
% 0.67/0.73 [127]~P15(x1271)+E(f5(a51,x1271),x1271)
% 0.67/0.73 [183]~P1(x1831)+P2(f4(x1831,a51))
% 0.67/0.73 [184]~P1(x1841)+P16(f4(x1841,a51))
% 0.67/0.73 [185]~P1(x1851)+P17(f4(x1851,a51))
% 0.67/0.73 [186]~P1(x1861)+P19(f4(x1861,a51))
% 0.67/0.73 [187]~P1(x1871)+P18(f4(x1871,a51))
% 0.67/0.73 [188]~P1(x1881)+P3(f4(x1881,a51))
% 0.67/0.73 [189]~P1(x1891)+P4(f4(x1891,a51))
% 0.67/0.73 [223]~P5(a49,a50)+~P5(a49,a56)+~P5(a56,a50)
% 0.67/0.73 [168]~P15(x1681)+~E(a51,x1681)+P6(a51,x1681)
% 0.67/0.73 [169]~P15(x1691)+~E(a51,x1691)+P10(a51,x1691)
% 0.67/0.73 [170]~P15(x1701)+~E(a51,x1701)+P14(a51,x1701)
% 0.67/0.73 [174]~P15(x1741)+~P6(a51,x1741)+E(a51,x1741)
% 0.67/0.73 [175]~P15(x1751)+~P10(a51,x1751)+E(a51,x1751)
% 0.67/0.73 [176]~P15(x1761)+~P14(a51,x1761)+E(a51,x1761)
% 0.67/0.73 [114]~P15(x1141)+E(f55(x1141),f27(x1141))+E(a51,x1141)
% 0.67/0.73 [115]~P15(x1151)+E(f62(x1151),f45(x1151))+E(a51,x1151)
% 0.67/0.73 [116]~P15(x1161)+E(a51,x1161)+P1(f55(x1161))
% 0.67/0.73 [117]~P15(x1171)+E(a51,x1171)+P1(f28(x1171))
% 0.67/0.73 [118]~P15(x1181)+E(a51,x1181)+P1(f27(x1181))
% 0.67/0.73 [119]~P15(x1191)+E(a51,x1191)+P15(f62(x1191))
% 0.67/0.73 [120]~P15(x1201)+E(a51,x1201)+P15(f29(x1201))
% 0.67/0.73 [121]~P15(x1211)+E(a51,x1211)+P15(f45(x1211))
% 0.67/0.73 [125]P3(x1251)+~P15(x1251)+E(f30(x1251),f36(x1251))
% 0.67/0.73 [134]~P15(x1341)+P2(x1341)+P1(f6(x1341))
% 0.67/0.73 [135]~P15(x1351)+P2(x1351)+P1(f7(x1351))
% 0.67/0.73 [136]~P15(x1361)+P2(x1361)+P15(f8(x1361))
% 0.67/0.73 [137]~P15(x1371)+P2(x1371)+P15(f9(x1371))
% 0.67/0.73 [138]~P15(x1381)+P2(x1381)+P15(f10(x1381))
% 0.67/0.73 [139]~P15(x1391)+P16(x1391)+P1(f11(x1391))
% 0.67/0.73 [140]~P15(x1401)+P16(x1401)+P1(f12(x1401))
% 0.67/0.73 [141]~P15(x1411)+P16(x1411)+P15(f13(x1411))
% 0.67/0.73 [142]~P15(x1421)+P16(x1421)+P15(f14(x1421))
% 0.67/0.73 [143]~P15(x1431)+P16(x1431)+P15(f15(x1431))
% 0.67/0.73 [144]~P15(x1441)+P17(x1441)+P1(f17(x1441))
% 0.67/0.73 [145]~P15(x1451)+P17(x1451)+P1(f18(x1451))
% 0.67/0.73 [146]~P15(x1461)+P17(x1461)+P15(f19(x1461))
% 0.67/0.73 [147]~P15(x1471)+P17(x1471)+P15(f20(x1471))
% 0.67/0.73 [148]~P15(x1481)+P17(x1481)+P15(f21(x1481))
% 0.67/0.73 [149]~P15(x1491)+P19(x1491)+P1(f22(x1491))
% 0.67/0.73 [150]~P15(x1501)+P19(x1501)+P1(f23(x1501))
% 0.67/0.73 [151]~P15(x1511)+P19(x1511)+P15(f24(x1511))
% 0.67/0.73 [152]~P15(x1521)+P19(x1521)+P15(f25(x1521))
% 0.67/0.73 [153]~P15(x1531)+P19(x1531)+P15(f26(x1531))
% 0.67/0.73 [154]~P15(x1541)+P18(x1541)+P1(f31(x1541))
% 0.67/0.73 [155]~P15(x1551)+P18(x1551)+P1(f32(x1551))
% 0.67/0.73 [156]~P15(x1561)+P18(x1561)+P15(f33(x1561))
% 0.67/0.73 [157]~P15(x1571)+P18(x1571)+P15(f34(x1571))
% 0.67/0.73 [158]~P15(x1581)+P18(x1581)+P15(f35(x1581))
% 0.67/0.73 [159]~P15(x1591)+P3(x1591)+P1(f30(x1591))
% 0.67/0.73 [160]~P15(x1601)+P3(x1601)+P1(f36(x1601))
% 0.67/0.73 [161]~P15(x1611)+P3(x1611)+P15(f37(x1611))
% 0.67/0.73 [162]~P15(x1621)+P3(x1621)+P15(f38(x1621))
% 0.67/0.73 [163]~P15(x1631)+P3(x1631)+P15(f39(x1631))
% 0.67/0.73 [164]~P15(x1641)+P4(x1641)+P1(f40(x1641))
% 0.67/0.73 [165]~P15(x1651)+P4(x1651)+P1(f42(x1651))
% 0.67/0.73 [166]~P15(x1661)+P4(x1661)+P15(f43(x1661))
% 0.67/0.73 [167]~P15(x1671)+P4(x1671)+P15(f44(x1671))
% 0.67/0.73 [171]~P15(x1711)+P4(x1711)+~E(f42(x1711),f40(x1711))
% 0.67/0.73 [172]~P15(x1721)+~P9(x1721)+P1(f57(x1721))
% 0.67/0.73 [194]~P15(x1941)+P2(x1941)+P5(f6(x1941),f7(x1941))
% 0.67/0.73 [195]~P15(x1951)+P2(x1951)+P5(f7(x1951),f6(x1951))
% 0.67/0.73 [215]~P15(x2151)+P16(x2151)+~P5(f11(x2151),f12(x2151))
% 0.67/0.73 [216]~P15(x2161)+P16(x2161)+~P5(f12(x2161),f11(x2161))
% 0.67/0.74 [217]~P15(x2171)+P17(x2171)+~P12(f17(x2171),f18(x2171))
% 0.67/0.74 [218]~P15(x2181)+P17(x2181)+~P12(f18(x2181),f17(x2181))
% 0.67/0.74 [219]~P15(x2191)+P19(x2191)+~P5(f22(x2191),f23(x2191))
% 0.67/0.74 [220]~P15(x2201)+P18(x2201)+~P12(f31(x2201),f32(x2201))
% 0.67/0.74 [182]~P15(x1821)+~P9(x1821)+E(f4(f57(x1821),a51),x1821)
% 0.67/0.74 [190]~P15(x1901)+E(a51,x1901)+E(f4(f55(x1901),f62(x1901)),x1901)
% 0.67/0.74 [191]~P15(x1911)+E(a51,x1911)+E(f4(f28(x1911),f29(x1911)),x1911)
% 0.67/0.74 [281]P2(x2811)+~P15(x2811)+E(f5(f5(f8(x2811),f4(f6(x2811),f9(x2811))),f4(f7(x2811),f10(x2811))),x2811)
% 0.67/0.74 [282]P16(x2821)+~P15(x2821)+E(f5(f5(f13(x2821),f4(f11(x2821),f14(x2821))),f4(f12(x2821),f15(x2821))),x2821)
% 0.67/0.74 [283]P17(x2831)+~P15(x2831)+E(f5(f5(f19(x2831),f4(f17(x2831),f20(x2831))),f4(f18(x2831),f21(x2831))),x2831)
% 0.67/0.74 [284]P19(x2841)+~P15(x2841)+E(f5(f5(f24(x2841),f4(f22(x2841),f25(x2841))),f4(f23(x2841),f26(x2841))),x2841)
% 0.67/0.74 [285]P18(x2851)+~P15(x2851)+E(f5(f5(f33(x2851),f4(f31(x2851),f34(x2851))),f4(f32(x2851),f35(x2851))),x2851)
% 0.67/0.74 [286]P3(x2861)+~P15(x2861)+E(f5(f5(f37(x2861),f4(f30(x2861),f38(x2861))),f4(f36(x2861),f39(x2861))),x2861)
% 0.67/0.74 [279]P4(x2791)+~P15(x2791)+E(f5(f43(x2791),f4(f40(x2791),f4(f42(x2791),f44(x2791)))),x2791)
% 0.67/0.74 [192]~P1(x1921)+~P15(x1922)+~E(f4(x1921,x1922),a51)
% 0.67/0.74 [193]~P1(x1931)+~P15(x1932)+~E(f4(x1931,x1932),x1932)
% 0.67/0.74 [202]~P1(x2021)+~P15(x2022)+P15(f4(x2021,x2022))
% 0.67/0.74 [203]~P15(x2032)+~P15(x2031)+P15(f5(x2031,x2032))
% 0.67/0.74 [204]~P1(x2041)+~P15(x2042)+E(f55(f4(x2041,x2042)),x2041)
% 0.67/0.74 [205]~P1(x2051)+~P15(x2052)+E(f62(f4(x2051,x2052)),x2052)
% 0.67/0.74 [233]~P1(x2331)+~P15(x2332)+E(f5(f4(x2331,a51),x2332),f4(x2331,x2332))
% 0.67/0.74 [179]P13(x1791,x1792)+~P1(x1792)+~P1(x1791)+E(x1791,x1792)
% 0.67/0.74 [180]P13(x1801,x1802)+~P15(x1802)+~P15(x1801)+E(x1801,x1802)
% 0.67/0.74 [199]~P1(x1992)+~P1(x1991)+~P13(x1991,x1992)+~E(x1991,x1992)
% 0.67/0.74 [200]~P1(x2002)+~P1(x2001)+~P12(x2001,x2002)+~E(x2001,x2002)
% 0.67/0.74 [201]~P15(x2012)+~P15(x2011)+~P13(x2011,x2012)+~E(x2011,x2012)
% 0.67/0.74 [210]~P1(x2101)+~P1(x2102)+~P7(x2102,x2101)+P5(x2101,x2102)
% 0.67/0.74 [211]~P1(x2112)+~P1(x2111)+~P12(x2111,x2112)+P5(x2111,x2112)
% 0.67/0.74 [212]~P1(x2121)+~P1(x2122)+~P8(x2122,x2121)+P12(x2121,x2122)
% 0.67/0.74 [213]~P1(x2131)+~P1(x2132)+~P5(x2132,x2131)+P7(x2131,x2132)
% 0.67/0.74 [214]~P1(x2141)+~P1(x2142)+~P12(x2142,x2141)+P8(x2141,x2142)
% 0.67/0.74 [224]~P12(x2241,x2242)+~P12(x2242,x2241)+~P1(x2241)+~P1(x2242)
% 0.67/0.74 [225]~P8(x2251,x2252)+~P8(x2252,x2251)+~P1(x2251)+~P1(x2252)
% 0.67/0.74 [196]~P15(x1962)+~P15(x1961)+E(a51,x1961)+~E(f5(x1962,x1961),a51)
% 0.67/0.74 [197]~P15(x1972)+~P15(x1971)+E(a51,x1971)+~E(f5(x1971,x1972),a51)
% 0.67/0.74 [198]~P1(x1982)+~P15(x1981)+P9(x1981)+~E(f4(x1982,a51),x1981)
% 0.67/0.74 [207]~P1(x2071)+~P15(x2072)+~E(a51,x2072)+P19(f4(x2071,x2072))
% 0.67/0.74 [208]~P1(x2081)+~P15(x2082)+~E(a51,x2082)+P18(f4(x2081,x2082))
% 0.67/0.74 [236]~P1(x2362)+~P15(x2361)+~P11(x2361,x2362)+P15(f41(x2361,x2362))
% 0.67/0.74 [237]~P1(x2372)+~P15(x2371)+~P11(x2371,x2372)+P15(f47(x2371,x2372))
% 0.67/0.74 [238]~P15(x2382)+~P15(x2381)+~P6(x2381,x2382)+P15(f58(x2381,x2382))
% 0.67/0.74 [239]~P15(x2392)+~P15(x2391)+~P10(x2391,x2392)+P15(f59(x2391,x2392))
% 0.67/0.74 [240]~P15(x2402)+~P15(x2401)+~P14(x2401,x2402)+P15(f60(x2401,x2402))
% 0.67/0.74 [241]~P15(x2412)+~P15(x2411)+~P14(x2411,x2412)+P15(f61(x2411,x2412))
% 0.67/0.74 [209]~P15(x2092)+~P15(x2091)+E(a51,x2091)+E(f55(f5(x2091,x2092)),f55(x2091))
% 0.67/0.74 [235]~P15(x2352)+~P15(x2351)+E(a51,x2351)+E(f62(f5(x2351,x2352)),f5(f62(x2351),x2352))
% 0.67/0.74 [248]~P15(x2482)+~P15(x2481)+~P6(x2482,x2481)+E(f5(x2481,f58(x2482,x2481)),x2482)
% 0.67/0.74 [249]~P15(x2492)+~P15(x2491)+~P10(x2491,x2492)+E(f5(f59(x2491,x2492),x2492),x2491)
% 0.67/0.74 [278]~P15(x2782)+~P15(x2781)+~P14(x2781,x2782)+E(f5(f5(f60(x2781,x2782),x2782),f61(x2781,x2782)),x2781)
% 0.67/0.74 [277]~P1(x2772)+~P15(x2771)+~P11(x2771,x2772)+E(f5(f41(x2771,x2772),f4(x2772,f47(x2771,x2772))),x2771)
% 0.67/0.74 [267]~P1(x2671)+~P15(x2672)+~P15(x2673)+E(f5(f4(x2671,x2672),x2673),f4(x2671,f5(x2672,x2673)))
% 0.67/0.74 [268]~P15(x2683)+~P15(x2682)+~P15(x2681)+E(f5(f5(x2681,x2682),x2683),f5(x2681,f5(x2682,x2683)))
% 0.67/0.74 [222]P12(x2221,x2222)+~P1(x2222)+~P1(x2221)+~P5(x2221,x2222)+E(x2221,x2222)
% 0.67/0.74 [228]~P1(x2282)+~P1(x2281)+~P5(x2282,x2281)+~P5(x2281,x2282)+E(x2281,x2282)
% 0.67/0.74 [229]~P1(x2292)+~P1(x2291)+~P7(x2292,x2291)+~P7(x2291,x2292)+E(x2291,x2292)
% 0.67/0.74 [230]~P15(x2302)+~P15(x2301)+~P6(x2302,x2301)+~P6(x2301,x2302)+E(x2301,x2302)
% 0.67/0.74 [231]~P15(x2312)+~P15(x2311)+~P10(x2312,x2311)+~P10(x2311,x2312)+E(x2311,x2312)
% 0.67/0.74 [232]~P15(x2322)+~P15(x2321)+~P14(x2322,x2321)+~P14(x2321,x2322)+E(x2321,x2322)
% 0.67/0.74 [181]~P15(x1811)+~P15(x1812)+~E(a51,x1811)+~E(a51,x1812)+E(f5(x1811,x1812),a51)
% 0.67/0.74 [244]P19(x2441)+~P15(x2441)+~P1(x2442)+E(a51,x2441)+~P19(f4(x2442,x2441))
% 0.67/0.74 [245]P18(x2451)+~P15(x2451)+~P1(x2452)+E(a51,x2451)+~P18(f4(x2452,x2451))
% 0.67/0.74 [258]~P1(x2582)+~P15(x2581)+E(a51,x2581)+P5(x2582,f55(x2581))+~P19(f4(x2582,x2581))
% 0.67/0.74 [259]~P1(x2592)+~P15(x2591)+E(a51,x2591)+P12(x2592,f55(x2591))+~P18(f4(x2592,x2591))
% 0.67/0.74 [226]~P15(x2261)+~P15(x2262)+~P15(x2263)+P6(x2261,x2262)+~E(f5(x2262,x2263),x2261)
% 0.67/0.74 [227]~P15(x2271)+~P15(x2272)+~P15(x2273)+P10(x2271,x2272)+~E(f5(x2273,x2272),x2271)
% 0.67/0.74 [234]~E(x2343,x2341)+~P1(x2341)+~P1(x2343)+~P15(x2342)+P11(f4(x2341,x2342),x2343)
% 0.67/0.74 [242]~P15(x2422)+~P15(x2423)+~P15(x2421)+E(x2421,x2422)+~E(f5(x2423,x2421),f5(x2423,x2422))
% 0.67/0.74 [243]~P15(x2432)+~P15(x2433)+~P15(x2431)+E(x2431,x2432)+~E(f5(x2431,x2433),f5(x2432,x2433))
% 0.67/0.74 [260]~P1(x2601)+~P1(x2603)+~P15(x2602)+~P11(x2602,x2603)+P11(f4(x2601,x2602),x2603)
% 0.67/0.74 [261]~P1(x2613)+~P15(x2611)+~P15(x2612)+~P11(x2612,x2613)+P11(f5(x2611,x2612),x2613)
% 0.67/0.74 [262]~P1(x2623)+~P15(x2622)+~P15(x2621)+~P11(x2621,x2623)+P11(f5(x2621,x2622),x2623)
% 0.67/0.74 [263]~P15(x2632)+~P15(x2633)+~P15(x2631)+~P6(x2631,x2633)+P6(f5(x2631,x2632),x2633)
% 0.67/0.74 [264]~P15(x2641)+~P15(x2643)+~P15(x2642)+~P10(x2642,x2643)+P10(f5(x2641,x2642),x2643)
% 0.67/0.74 [265]~P1(x2652)+~P15(x2651)+~P19(x2651)+~P5(x2652,f55(x2651))+E(a51,x2651)+P19(f4(x2652,x2651))
% 0.67/0.74 [266]~P1(x2662)+~P15(x2661)+~P18(x2661)+~P12(x2662,f55(x2661))+E(a51,x2661)+P18(f4(x2662,x2661))
% 0.67/0.74 [250]~P15(x2502)+~P15(x2501)+~P6(x2503,x2502)+~P6(x2501,x2503)+P6(x2501,x2502)+~P15(x2503)
% 0.67/0.74 [251]~P15(x2512)+~P15(x2511)+~P10(x2513,x2512)+~P10(x2511,x2513)+P10(x2511,x2512)+~P15(x2513)
% 0.67/0.74 [252]~P15(x2522)+~P15(x2521)+~P14(x2523,x2522)+~P14(x2521,x2523)+P14(x2521,x2522)+~P15(x2523)
% 0.67/0.74 [253]~P1(x2532)+~P1(x2531)+~P5(x2533,x2532)+~P5(x2531,x2533)+P5(x2531,x2532)+~P1(x2533)
% 0.67/0.74 [254]~P1(x2542)+~P1(x2541)+~P5(x2541,x2543)+~P12(x2543,x2542)+P12(x2541,x2542)+~P1(x2543)
% 0.67/0.74 [255]~P1(x2552)+~P1(x2551)+~P12(x2553,x2552)+~P12(x2551,x2553)+P12(x2551,x2552)+~P1(x2553)
% 0.67/0.74 [256]~P1(x2562)+~P1(x2561)+~P7(x2563,x2562)+~P7(x2561,x2563)+P7(x2561,x2562)+~P1(x2563)
% 0.67/0.74 [257]~P1(x2572)+~P1(x2571)+~P8(x2573,x2572)+~P8(x2571,x2573)+P8(x2571,x2572)+~P1(x2573)
% 0.67/0.74 [269]~P1(x2692)+~P1(x2691)+~P15(x2693)+E(x2691,x2692)+P11(x2693,x2692)+~P11(f4(x2691,x2693),x2692)
% 0.67/0.74 [272]~P1(x2722)+~P15(x2721)+~P15(x2723)+P11(x2721,x2722)+P11(x2723,x2722)+~P11(f5(x2723,x2721),x2722)
% 0.67/0.74 [246]~P1(x2464)+~P1(x2463)+~P15(x2462)+~P15(x2461)+E(x2461,x2462)+~E(f4(x2463,x2462),f4(x2464,x2461))
% 0.67/0.74 [247]~P1(x2472)+~P1(x2471)+~P15(x2474)+~P15(x2473)+E(x2471,x2472)+~E(f4(x2471,x2473),f4(x2472,x2474))
% 0.67/0.74 [274]~P1(x2742)+~P1(x2741)+E(x2741,x2742)+~P15(x2743)+~P15(x2744)+~P6(f4(x2741,x2744),f4(x2742,x2743))
% 0.67/0.74 [276]~P15(x2762)+~P15(x2761)+P6(x2761,x2762)+~P1(x2763)+~P1(x2764)+~P6(f4(x2764,x2761),f4(x2763,x2762))
% 0.67/0.74 [270]~P1(x2702)+~P15(x2701)+~P15(x2704)+~P15(x2703)+P11(x2701,x2702)+~E(f5(x2703,f4(x2702,x2704)),x2701)
% 0.67/0.74 [271]~P15(x2711)+~P15(x2712)+~P15(x2714)+~P15(x2713)+P14(x2711,x2712)+~E(f5(f5(x2713,x2712),x2714),x2711)
% 0.67/0.74 [275]~P15(x2753)+~P15(x2751)+~P15(x2754)+~P15(x2752)+~P14(x2752,x2754)+P14(f5(f5(x2751,x2752),x2753),x2754)
% 0.67/0.74 [206]~P15(x2062)+~P15(x2061)+E(x2061,x2062)+E(a51,x2062)+E(a51,x2061)+~E(f55(x2061),f55(x2062))+~E(f62(x2061),f62(x2062))
% 0.67/0.74 [273]~E(x2731,x2733)+~P1(x2733)+~P1(x2731)+~P15(x2734)+~P15(x2732)+~P6(x2732,x2734)+P6(f4(x2731,x2732),f4(x2733,x2734))
% 0.67/0.74 [280]~P1(x2802)+~P1(x2801)+~P15(x2804)+~P15(x2803)+~P15(x2805)+~P4(x2805)+E(x2801,x2802)+~E(f5(x2803,f4(x2801,f4(x2802,x2804))),x2805)
% 0.67/0.74 [293]~P1(x2932)+~P1(x2931)+~P15(x2934)+~P15(x2933)+~P15(x2935)+~P5(x2932,x2931)+P5(x2931,x2932)+~E(f5(f5(f5(f5(x2933,f4(x2931,a51)),x2934),f4(x2932,a51)),x2935),a1)
% 0.67/0.74 [287]~P1(x2872)+~P1(x2871)+~P15(x2875)+~P15(x2874)+~P15(x2873)+~P15(x2876)+~P3(x2876)+~E(x2871,x2872)+~E(f5(f5(x2873,f4(x2871,x2874)),f4(x2872,x2875)),x2876)
% 0.67/0.74 [288]~P1(x2882)+~P1(x2881)+~P15(x2885)+~P15(x2884)+~P15(x2883)+~P15(x2886)+~P19(x2886)+P5(x2881,x2882)+~E(f5(f5(x2883,f4(x2881,x2884)),f4(x2882,x2885)),x2886)
% 0.67/0.74 [289]~P1(x2892)+~P1(x2891)+~P15(x2895)+~P15(x2894)+~P15(x2893)+~P15(x2896)+~P18(x2896)+P12(x2891,x2892)+~E(f5(f5(x2893,f4(x2891,x2894)),f4(x2892,x2895)),x2896)
% 0.67/0.74 [290]P5(x2902,x2901)+~P1(x2901)+~P1(x2902)+~P15(x2905)+~P15(x2904)+~P15(x2903)+~P15(x2906)+~P16(x2906)+P5(x2901,x2902)+~E(f5(f5(x2903,f4(x2902,x2904)),f4(x2901,x2905)),x2906)
% 0.67/0.74 [291]P12(x2912,x2911)+~P1(x2911)+~P1(x2912)+~P15(x2915)+~P15(x2914)+~P15(x2913)+~P15(x2916)+~P17(x2916)+P12(x2911,x2912)+~E(f5(f5(x2913,f4(x2912,x2914)),f4(x2911,x2915)),x2916)
% 0.67/0.74 [292]~P1(x2924)+~P1(x2922)+~P15(x2925)+~P15(x2923)+~P15(x2921)+~P15(x2926)+~P2(x2926)+~P5(x2924,x2922)+~P5(x2922,x2924)+~E(f5(f5(x2921,f4(x2922,x2923)),f4(x2924,x2925)),x2926)
% 0.67/0.74 [294]~P1(x2944)+~P1(x2942)+~P1(x2941)+~P15(x2943)+~P15(x2946)+~P15(x2945)+~P11(x2945,x2941)+~P5(x2942,x2944)+P5(x2941,x2942)+~E(f5(f5(f5(f5(x2943,f4(x2944,a51)),x2945),f4(x2942,a51)),x2946),a1)
% 0.67/0.74 [295]~P1(x2955)+~P1(x2952)+~P1(x2951)+~P15(x2953)+~P15(x2956)+~P15(x2954)+~P11(x2954,x2952)+~P5(x2955,x2951)+P5(x2951,x2952)+~E(f5(f5(f5(f5(x2953,f4(x2951,a51)),x2954),f4(x2955,a51)),x2956),a1)
% 0.67/0.74 %EqnAxiom
% 0.67/0.74 [1]E(x11,x11)
% 0.67/0.74 [2]E(x22,x21)+~E(x21,x22)
% 0.67/0.74 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.67/0.74 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 0.67/0.74 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 0.67/0.74 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.67/0.74 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.67/0.74 [8]~E(x81,x82)+E(f19(x81),f19(x82))
% 0.67/0.74 [9]~E(x91,x92)+E(f15(x91),f15(x92))
% 0.67/0.74 [10]~E(x101,x102)+E(f12(x101),f12(x102))
% 0.67/0.74 [11]~E(x111,x112)+E(f17(x111),f17(x112))
% 0.67/0.74 [12]~E(x121,x122)+E(f55(x121),f55(x122))
% 0.67/0.74 [13]~E(x131,x132)+E(f27(x131),f27(x132))
% 0.67/0.74 [14]~E(x141,x142)+E(f62(x141),f62(x142))
% 0.67/0.74 [15]~E(x151,x152)+E(f45(x151),f45(x152))
% 0.67/0.74 [16]~E(x161,x162)+E(f60(x161,x163),f60(x162,x163))
% 0.67/0.74 [17]~E(x171,x172)+E(f60(x173,x171),f60(x173,x172))
% 0.67/0.74 [18]~E(x181,x182)+E(f28(x181),f28(x182))
% 0.67/0.74 [19]~E(x191,x192)+E(f35(x191),f35(x192))
% 0.67/0.74 [20]~E(x201,x202)+E(f32(x201),f32(x202))
% 0.67/0.74 [21]~E(x211,x212)+E(f29(x211),f29(x212))
% 0.67/0.74 [22]~E(x221,x222)+E(f61(x221,x223),f61(x222,x223))
% 0.67/0.74 [23]~E(x231,x232)+E(f61(x233,x231),f61(x233,x232))
% 0.67/0.74 [24]~E(x241,x242)+E(f30(x241),f30(x242))
% 0.67/0.74 [25]~E(x251,x252)+E(f36(x251),f36(x252))
% 0.67/0.74 [26]~E(x261,x262)+E(f14(x261),f14(x262))
% 0.67/0.74 [27]~E(x271,x272)+E(f11(x271),f11(x272))
% 0.67/0.74 [28]~E(x281,x282)+E(f6(x281),f6(x282))
% 0.67/0.74 [29]~E(x291,x292)+E(f7(x291),f7(x292))
% 0.67/0.74 [30]~E(x301,x302)+E(f8(x301),f8(x302))
% 0.67/0.74 [31]~E(x311,x312)+E(f9(x311),f9(x312))
% 0.67/0.74 [32]~E(x321,x322)+E(f10(x321),f10(x322))
% 0.67/0.74 [33]~E(x331,x332)+E(f31(x331),f31(x332))
% 0.67/0.74 [34]~E(x341,x342)+E(f58(x341,x343),f58(x342,x343))
% 0.67/0.74 [35]~E(x351,x352)+E(f58(x353,x351),f58(x353,x352))
% 0.67/0.74 [36]~E(x361,x362)+E(f13(x361),f13(x362))
% 0.67/0.74 [37]~E(x371,x372)+E(f23(x371),f23(x372))
% 0.67/0.74 [38]~E(x381,x382)+E(f33(x381),f33(x382))
% 0.67/0.74 [39]~E(x391,x392)+E(f38(x391),f38(x392))
% 0.67/0.74 [40]~E(x401,x402)+E(f18(x401),f18(x402))
% 0.67/0.74 [41]~E(x411,x412)+E(f39(x411),f39(x412))
% 0.67/0.74 [42]~E(x421,x422)+E(f20(x421),f20(x422))
% 0.67/0.74 [43]~E(x431,x432)+E(f21(x431),f21(x432))
% 0.67/0.74 [44]~E(x441,x442)+E(f22(x441),f22(x442))
% 0.67/0.74 [45]~E(x451,x452)+E(f25(x451),f25(x452))
% 0.67/0.74 [46]~E(x461,x462)+E(f24(x461),f24(x462))
% 0.67/0.74 [47]~E(x471,x472)+E(f47(x471,x473),f47(x472,x473))
% 0.67/0.74 [48]~E(x481,x482)+E(f47(x483,x481),f47(x483,x482))
% 0.67/0.74 [49]~E(x491,x492)+E(f26(x491),f26(x492))
% 0.67/0.74 [50]~E(x501,x502)+E(f43(x501),f43(x502))
% 0.67/0.74 [51]~E(x511,x512)+E(f59(x511,x513),f59(x512,x513))
% 0.67/0.74 [52]~E(x521,x522)+E(f59(x523,x521),f59(x523,x522))
% 0.67/0.74 [53]~E(x531,x532)+E(f42(x531),f42(x532))
% 0.67/0.74 [54]~E(x541,x542)+E(f34(x541),f34(x542))
% 0.67/0.74 [55]~E(x551,x552)+E(f37(x551),f37(x552))
% 0.67/0.74 [56]~E(x561,x562)+E(f40(x561),f40(x562))
% 0.67/0.74 [57]~E(x571,x572)+E(f41(x571,x573),f41(x572,x573))
% 0.67/0.74 [58]~E(x581,x582)+E(f41(x583,x581),f41(x583,x582))
% 0.67/0.74 [59]~E(x591,x592)+E(f57(x591),f57(x592))
% 0.67/0.74 [60]~E(x601,x602)+E(f44(x601),f44(x602))
% 0.67/0.74 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 0.67/0.74 [62]P5(x622,x623)+~E(x621,x622)+~P5(x621,x623)
% 0.67/0.74 [63]P5(x633,x632)+~E(x631,x632)+~P5(x633,x631)
% 0.67/0.74 [64]P11(x642,x643)+~E(x641,x642)+~P11(x641,x643)
% 0.67/0.74 [65]P11(x653,x652)+~E(x651,x652)+~P11(x653,x651)
% 0.67/0.74 [66]~P15(x661)+P15(x662)+~E(x661,x662)
% 0.67/0.74 [67]~P19(x671)+P19(x672)+~E(x671,x672)
% 0.67/0.74 [68]P12(x682,x683)+~E(x681,x682)+~P12(x681,x683)
% 0.67/0.74 [69]P12(x693,x692)+~E(x691,x692)+~P12(x693,x691)
% 0.67/0.74 [70]P8(x702,x703)+~E(x701,x702)+~P8(x701,x703)
% 0.67/0.74 [71]P8(x713,x712)+~E(x711,x712)+~P8(x713,x711)
% 0.67/0.74 [72]~P3(x721)+P3(x722)+~E(x721,x722)
% 0.67/0.74 [73]P6(x732,x733)+~E(x731,x732)+~P6(x731,x733)
% 0.67/0.74 [74]P6(x743,x742)+~E(x741,x742)+~P6(x743,x741)
% 0.67/0.74 [75]P13(x752,x753)+~E(x751,x752)+~P13(x751,x753)
% 0.67/0.74 [76]P13(x763,x762)+~E(x761,x762)+~P13(x763,x761)
% 0.67/0.74 [77]P7(x772,x773)+~E(x771,x772)+~P7(x771,x773)
% 0.67/0.74 [78]P7(x783,x782)+~E(x781,x782)+~P7(x783,x781)
% 0.67/0.74 [79]~P4(x791)+P4(x792)+~E(x791,x792)
% 0.67/0.74 [80]~P2(x801)+P2(x802)+~E(x801,x802)
% 0.67/0.74 [81]~P16(x811)+P16(x812)+~E(x811,x812)
% 0.67/0.74 [82]~P17(x821)+P17(x822)+~E(x821,x822)
% 0.67/0.74 [83]~P18(x831)+P18(x832)+~E(x831,x832)
% 0.67/0.74 [84]P14(x842,x843)+~E(x841,x842)+~P14(x841,x843)
% 0.67/0.74 [85]P14(x853,x852)+~E(x851,x852)+~P14(x853,x851)
% 0.67/0.74 [86]P10(x862,x863)+~E(x861,x862)+~P10(x861,x863)
% 0.67/0.74 [87]P10(x873,x872)+~E(x871,x872)+~P10(x873,x871)
% 0.67/0.74 [88]~P9(x881)+P9(x882)+~E(x881,x882)
% 0.67/0.74
% 0.67/0.74 %-------------------------------------------
% 0.67/0.74 cnf(300,plain,
% 0.67/0.74 (~P13(x3001,x3001)+~P1(x3001)+~P1(x3001)),
% 0.67/0.74 inference(equality_inference,[],[199])).
% 0.67/0.74 cnf(302,plain,
% 0.67/0.74 (~P13(x3021,x3021)+~P15(x3021)+~P15(x3021)),
% 0.67/0.74 inference(equality_inference,[],[201])).
% 0.67/0.74 cnf(357,plain,
% 0.67/0.74 (E(a1,f5(f5(f5(f5(a52,f4(a49,a51)),a53),f4(a50,a51)),a54))),
% 0.67/0.74 inference(scs_inference,[],[89,98,96,111,91,178,2,300,66,302,3])).
% 0.67/0.74 cnf(369,plain,
% 0.67/0.74 (E(f5(f5(f5(f5(a52,f4(a49,a51)),a53),f4(a50,a51)),a54),a1)),
% 0.67/0.74 inference(scs_inference,[],[357,92,178,2])).
% 0.67/0.74 cnf(374,plain,
% 0.67/0.74 (P5(a49,a50)),
% 0.67/0.74 inference(scs_inference,[],[110,99,100,101,102,94,93,357,92,178,2,300,302,293])).
% 0.67/0.74 cnf(394,plain,
% 0.67/0.74 (P1(a56)),
% 0.67/0.74 inference(scs_inference,[],[374,128])).
% 0.67/0.74 cnf(395,plain,
% 0.67/0.74 (P11(a53,a56)),
% 0.67/0.74 inference(scs_inference,[],[374,177])).
% 0.67/0.74 cnf(396,plain,
% 0.67/0.74 (~P5(a49,a56)+~P5(a56,a50)),
% 0.67/0.74 inference(scs_inference,[],[374,223])).
% 0.67/0.74 cnf(415,plain,
% 0.67/0.74 ($false),
% 0.67/0.74 inference(scs_inference,[],[110,93,94,101,102,100,369,394,395,178,300,302,294,295,396]),
% 0.67/0.74 ['proof']).
% 0.67/0.74 % SZS output end Proof
% 0.67/0.74 % Total time :0.060000s
%------------------------------------------------------------------------------