%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC037+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 : n007.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 16:13:41 EDT 2024
% Result : Theorem 12.32s 12.45s
% Output : CNFRefutation 12.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC037+1 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 01:57:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.49/0.57 start to proof:theBenchmark
% 12.32/12.44 %-------------------------------------------
% 12.32/12.44 % File :CSE---1.7
% 12.32/12.44 % Problem :theBenchmark
% 12.32/12.44 % Transform :cnf
% 12.32/12.44 % Format :tptp:raw
% 12.32/12.44 % Command :java -jar mcs_scs.jar %d %s
% 12.32/12.44
% 12.32/12.44 % Result :Theorem 11.750000s
% 12.32/12.44 % Output :CNFRefutation 11.750000s
% 12.32/12.44 %-------------------------------------------
% 12.32/12.45 %--------------------------------------------------------------------------
% 12.32/12.45 % File : SWC037+1 : TPTP v8.2.0. Released v2.4.0.
% 12.32/12.45 % Domain : Software Creation
% 12.32/12.45 % Problem : cond_id_nil_x_id_segment_total2
% 12.32/12.45 % Version : [Wei00] axioms.
% 12.32/12.45 % English : Find components in a software library that match a given target
% 12.32/12.45 % specification given in first-order logic. The components are
% 12.32/12.45 % specified in first-order logic as well. The problem represents
% 12.32/12.45 % a test of one library module specification against a target
% 12.32/12.45 % specification.
% 12.32/12.45
% 12.32/12.45 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 12.32/12.45 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 12.32/12.45 % Source : [Wei00]
% 12.32/12.45 % Names : cond_id_nil_x_id_segment_total2 [Wei00]
% 12.32/12.45
% 12.32/12.45 % Status : Theorem
% 12.32/12.45 % Rating : 0.25 v8.2.0, 0.22 v8.1.0, 0.25 v7.5.0, 0.28 v7.4.0, 0.17 v7.3.0, 0.24 v7.2.0, 0.21 v7.1.0, 0.22 v7.0.0, 0.17 v6.4.0, 0.19 v6.3.0, 0.25 v6.2.0, 0.32 v6.1.0, 0.27 v6.0.0, 0.22 v5.5.0, 0.26 v5.4.0, 0.32 v5.3.0, 0.37 v5.2.0, 0.20 v5.1.0, 0.19 v5.0.0, 0.25 v4.1.0, 0.26 v4.0.1, 0.30 v4.0.0, 0.33 v3.7.0, 0.25 v3.5.0, 0.21 v3.4.0, 0.26 v3.3.0, 0.14 v3.2.0, 0.09 v3.1.0, 0.22 v2.7.0, 0.33 v2.5.0, 0.17 v2.4.0
% 12.32/12.45 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 12.32/12.45 % Number of atoms : 408 ( 77 equ)
% 12.32/12.45 % Maximal formula atoms : 14 ( 4 avg)
% 12.32/12.45 % Number of connectives : 344 ( 32 ~; 15 |; 39 &)
% 12.32/12.45 % ( 26 <=>; 232 =>; 0 <=; 0 <~>)
% 12.32/12.45 % Maximal formula depth : 19 ( 7 avg)
% 12.32/12.45 % Maximal term depth : 4 ( 1 avg)
% 12.32/12.45 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 12.32/12.45 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 12.32/12.45 % Number of variables : 208 ( 195 !; 13 ?)
% 12.32/12.45 % SPC : FOF_THM_RFO_SEQ
% 12.32/12.45
% 12.32/12.45 % Comments :
% 12.32/12.45 %--------------------------------------------------------------------------
% 12.32/12.45 %----Include list specification axioms
% 12.32/12.45 include('Axioms/SWC001+0.ax').
% 12.32/12.45 %--------------------------------------------------------------------------
% 12.32/12.45 fof(co1,conjecture,
% 12.32/12.45 ! [U] :
% 12.32/12.45 ( ssList(U)
% 12.32/12.45 => ! [V] :
% 12.32/12.45 ( ssList(V)
% 12.32/12.45 => ! [W] :
% 12.32/12.45 ( ssList(W)
% 12.32/12.45 => ! [X] :
% 12.32/12.45 ( ssList(X)
% 12.32/12.45 => ( nil != V
% 12.32/12.45 | V != X
% 12.32/12.45 | U != W
% 12.32/12.45 | nil = U
% 12.32/12.45 | ( ! [Y] :
% 12.32/12.45 ( ssList(Y)
% 12.32/12.45 => ( ~ neq(Y,nil)
% 12.32/12.45 | ~ segmentP(X,Y)
% 12.32/12.45 | ~ segmentP(W,Y) ) )
% 12.32/12.45 & ( nil != X
% 12.32/12.45 | nil != W ) ) ) ) ) ) ) ).
% 12.32/12.45
% 12.32/12.45 %--------------------------------------------------------------------------
% 12.32/12.45 %-------------------------------------------
% 12.32/12.45 % Proof found
% 12.32/12.45 % SZS status Theorem for theBenchmark
% 12.32/12.45 % SZS output start Proof
% 12.32/12.45 %ClaNum:292(EqnAxiom:88)
% 12.32/12.45 %VarNum:1008(SingletonVarNum:327)
% 12.32/12.45 %MaxLitNum:10
% 12.32/12.45 %MaxfuncDepth:4
% 12.32/12.45 %SharedTerms:34
% 12.32/12.45 %goalClause: 89 90 91 95 96 97 98 107 109 110 111 112 113 114 115 116
% 12.32/12.45 %singleGoalClaCount:8
% 12.32/12.45 [89]E(a1,a46)
% 12.32/12.45 [90]E(a2,a47)
% 12.32/12.45 [91]E(a1,a49)
% 12.32/12.45 [92]P1(a3)
% 12.32/12.45 [93]P1(a16)
% 12.32/12.45 [94]P15(a46)
% 12.32/12.45 [95]P15(a2)
% 12.32/12.45 [96]P15(a1)
% 12.32/12.45 [97]P15(a47)
% 12.32/12.45 [98]P15(a49)
% 12.32/12.45 [99]P2(a46)
% 12.32/12.45 [100]P16(a46)
% 12.32/12.45 [101]P17(a46)
% 12.32/12.45 [102]P19(a46)
% 12.32/12.45 [103]P18(a46)
% 12.32/12.45 [104]P3(a46)
% 12.32/12.45 [105]P4(a46)
% 12.32/12.45 [106]~E(a16,a3)
% 12.32/12.45 [107]~E(a2,a46)
% 12.32/12.45 [108]~P5(a46)
% 12.32/12.45 [109]E(a47,a46)+P15(a50)
% 12.43/12.45 [110]E(a49,a46)+P15(a50)
% 12.43/12.45 [111]E(a47,a46)+P6(a50,a46)
% 12.43/12.45 [112]E(a47,a46)+P13(a47,a50)
% 12.43/12.45 [113]E(a47,a46)+P13(a49,a50)
% 12.43/12.45 [114]E(a49,a46)+P6(a50,a46)
% 12.43/12.45 [115]E(a49,a46)+P13(a47,a50)
% 12.43/12.45 [116]E(a49,a46)+P13(a49,a50)
% 12.43/12.45 [125]~P15(x1251)+P7(x1251,a46)
% 12.43/12.45 [126]~P15(x1261)+P14(x1261,a46)
% 12.43/12.45 [127]~P15(x1271)+P13(x1271,a46)
% 12.43/12.45 [131]~P15(x1311)+P7(x1311,x1311)
% 12.43/12.45 [132]~P15(x1321)+P14(x1321,x1321)
% 12.43/12.45 [133]~P15(x1331)+P13(x1331,x1331)
% 12.43/12.45 [134]~P1(x1341)+P8(x1341,x1341)
% 12.43/12.45 [135]~P1(x1351)+P9(x1351,x1351)
% 12.43/12.45 [175]~P1(x1751)+~P11(a46,x1751)
% 12.43/12.45 [179]~P12(x1791,x1791)+~P1(x1791)
% 12.43/12.45 [129]~P15(x1291)+E(f4(x1291,a46),x1291)
% 12.43/12.45 [130]~P15(x1301)+E(f4(a46,x1301),x1301)
% 12.43/12.45 [184]~P1(x1841)+P2(f6(x1841,a46))
% 12.43/12.45 [185]~P1(x1851)+P16(f6(x1851,a46))
% 12.43/12.45 [186]~P1(x1861)+P17(f6(x1861,a46))
% 12.43/12.45 [187]~P1(x1871)+P19(f6(x1871,a46))
% 12.43/12.45 [188]~P1(x1881)+P18(f6(x1881,a46))
% 12.43/12.45 [189]~P1(x1891)+P3(f6(x1891,a46))
% 12.43/12.45 [190]~P1(x1901)+P4(f6(x1901,a46))
% 12.43/12.45 [170]~P15(x1701)+~E(a46,x1701)+P7(a46,x1701)
% 12.43/12.45 [171]~P15(x1711)+~E(a46,x1711)+P14(a46,x1711)
% 12.43/12.45 [172]~P15(x1721)+~E(a46,x1721)+P13(a46,x1721)
% 12.43/12.45 [176]~P15(x1761)+~P7(a46,x1761)+E(a46,x1761)
% 12.43/12.45 [177]~P15(x1771)+~P14(a46,x1771)+E(a46,x1771)
% 12.43/12.45 [178]~P15(x1781)+~P13(a46,x1781)+E(a46,x1781)
% 12.43/12.46 [117]~P15(x1171)+E(f51(x1171),f27(x1171))+E(a46,x1171)
% 12.43/12.46 [118]~P15(x1181)+E(f57(x1181),f45(x1181))+E(a46,x1181)
% 12.43/12.46 [119]~P15(x1191)+E(a46,x1191)+P1(f51(x1191))
% 12.43/12.46 [120]~P15(x1201)+E(a46,x1201)+P1(f28(x1201))
% 12.43/12.46 [121]~P15(x1211)+E(a46,x1211)+P1(f27(x1211))
% 12.43/12.46 [122]~P15(x1221)+E(a46,x1221)+P15(f57(x1221))
% 12.43/12.46 [123]~P15(x1231)+E(a46,x1231)+P15(f29(x1231))
% 12.43/12.46 [124]~P15(x1241)+E(a46,x1241)+P15(f45(x1241))
% 12.43/12.46 [128]P3(x1281)+~P15(x1281)+E(f30(x1281),f36(x1281))
% 12.43/12.46 [136]~P15(x1361)+P2(x1361)+P1(f5(x1361))
% 12.43/12.46 [137]~P15(x1371)+P2(x1371)+P1(f7(x1371))
% 12.43/12.46 [138]~P15(x1381)+P2(x1381)+P15(f8(x1381))
% 12.43/12.46 [139]~P15(x1391)+P2(x1391)+P15(f9(x1391))
% 12.43/12.46 [140]~P15(x1401)+P2(x1401)+P15(f10(x1401))
% 12.43/12.46 [141]~P15(x1411)+P16(x1411)+P1(f11(x1411))
% 12.43/12.46 [142]~P15(x1421)+P16(x1421)+P1(f12(x1421))
% 12.43/12.46 [143]~P15(x1431)+P16(x1431)+P15(f13(x1431))
% 12.43/12.46 [144]~P15(x1441)+P16(x1441)+P15(f14(x1441))
% 12.43/12.46 [145]~P15(x1451)+P16(x1451)+P15(f15(x1451))
% 12.43/12.46 [146]~P15(x1461)+P17(x1461)+P1(f17(x1461))
% 12.43/12.46 [147]~P15(x1471)+P17(x1471)+P1(f18(x1471))
% 12.43/12.46 [148]~P15(x1481)+P17(x1481)+P15(f19(x1481))
% 12.43/12.46 [149]~P15(x1491)+P17(x1491)+P15(f20(x1491))
% 12.43/12.46 [150]~P15(x1501)+P17(x1501)+P15(f21(x1501))
% 12.43/12.46 [151]~P15(x1511)+P19(x1511)+P1(f22(x1511))
% 12.43/12.46 [152]~P15(x1521)+P19(x1521)+P1(f23(x1521))
% 12.43/12.46 [153]~P15(x1531)+P19(x1531)+P15(f24(x1531))
% 12.43/12.46 [154]~P15(x1541)+P19(x1541)+P15(f25(x1541))
% 12.43/12.46 [155]~P15(x1551)+P19(x1551)+P15(f26(x1551))
% 12.43/12.46 [156]~P15(x1561)+P18(x1561)+P1(f31(x1561))
% 12.43/12.46 [157]~P15(x1571)+P18(x1571)+P1(f32(x1571))
% 12.43/12.46 [158]~P15(x1581)+P18(x1581)+P15(f33(x1581))
% 12.43/12.46 [159]~P15(x1591)+P18(x1591)+P15(f34(x1591))
% 12.43/12.46 [160]~P15(x1601)+P18(x1601)+P15(f35(x1601))
% 12.43/12.46 [161]~P15(x1611)+P3(x1611)+P1(f30(x1611))
% 12.43/12.46 [162]~P15(x1621)+P3(x1621)+P1(f36(x1621))
% 12.43/12.46 [163]~P15(x1631)+P3(x1631)+P15(f37(x1631))
% 12.43/12.46 [164]~P15(x1641)+P3(x1641)+P15(f38(x1641))
% 12.43/12.46 [165]~P15(x1651)+P3(x1651)+P15(f39(x1651))
% 12.43/12.46 [166]~P15(x1661)+P4(x1661)+P1(f40(x1661))
% 12.43/12.46 [167]~P15(x1671)+P4(x1671)+P1(f42(x1671))
% 12.43/12.46 [168]~P15(x1681)+P4(x1681)+P15(f43(x1681))
% 12.43/12.46 [169]~P15(x1691)+P4(x1691)+P15(f44(x1691))
% 12.43/12.46 [173]~P15(x1731)+P4(x1731)+~E(f42(x1731),f40(x1731))
% 12.43/12.46 [174]~P15(x1741)+~P5(x1741)+P1(f52(x1741))
% 12.43/12.46 [195]~P15(x1951)+P2(x1951)+P8(f5(x1951),f7(x1951))
% 12.43/12.46 [196]~P15(x1961)+P2(x1961)+P8(f7(x1961),f5(x1961))
% 12.43/12.46 [216]~P15(x2161)+P16(x2161)+~P8(f11(x2161),f12(x2161))
% 12.43/12.46 [217]~P15(x2171)+P16(x2171)+~P8(f12(x2171),f11(x2171))
% 12.43/12.46 [218]~P15(x2181)+P17(x2181)+~P12(f17(x2181),f18(x2181))
% 12.43/12.46 [219]~P15(x2191)+P17(x2191)+~P12(f18(x2191),f17(x2191))
% 12.43/12.46 [220]~P15(x2201)+P19(x2201)+~P8(f22(x2201),f23(x2201))
% 12.43/12.46 [221]~P15(x2211)+P18(x2211)+~P12(f31(x2211),f32(x2211))
% 12.43/12.46 [183]~P15(x1831)+~P5(x1831)+E(f6(f52(x1831),a46),x1831)
% 12.43/12.46 [191]~P15(x1911)+E(a46,x1911)+E(f6(f51(x1911),f57(x1911)),x1911)
% 12.43/12.46 [192]~P15(x1921)+E(a46,x1921)+E(f6(f28(x1921),f29(x1921)),x1921)
% 12.43/12.46 [281]P2(x2811)+~P15(x2811)+E(f4(f4(f8(x2811),f6(f5(x2811),f9(x2811))),f6(f7(x2811),f10(x2811))),x2811)
% 12.43/12.46 [282]P16(x2821)+~P15(x2821)+E(f4(f4(f13(x2821),f6(f11(x2821),f14(x2821))),f6(f12(x2821),f15(x2821))),x2821)
% 12.43/12.46 [283]P17(x2831)+~P15(x2831)+E(f4(f4(f19(x2831),f6(f17(x2831),f20(x2831))),f6(f18(x2831),f21(x2831))),x2831)
% 12.43/12.46 [284]P19(x2841)+~P15(x2841)+E(f4(f4(f24(x2841),f6(f22(x2841),f25(x2841))),f6(f23(x2841),f26(x2841))),x2841)
% 12.43/12.46 [285]P18(x2851)+~P15(x2851)+E(f4(f4(f33(x2851),f6(f31(x2851),f34(x2851))),f6(f32(x2851),f35(x2851))),x2851)
% 12.43/12.46 [286]P3(x2861)+~P15(x2861)+E(f4(f4(f37(x2861),f6(f30(x2861),f38(x2861))),f6(f36(x2861),f39(x2861))),x2861)
% 12.43/12.46 [279]P4(x2791)+~P15(x2791)+E(f4(f43(x2791),f6(f40(x2791),f6(f42(x2791),f44(x2791)))),x2791)
% 12.43/12.46 [193]~P1(x1931)+~P15(x1932)+~E(f6(x1931,x1932),a46)
% 12.43/12.46 [194]~P1(x1941)+~P15(x1942)+~E(f6(x1941,x1942),x1942)
% 12.43/12.46 [203]~P1(x2031)+~P15(x2032)+P15(f6(x2031,x2032))
% 12.43/12.46 [204]~P15(x2042)+~P15(x2041)+P15(f4(x2041,x2042))
% 12.43/12.46 [205]~P1(x2051)+~P15(x2052)+E(f51(f6(x2051,x2052)),x2051)
% 12.43/12.46 [206]~P1(x2061)+~P15(x2062)+E(f57(f6(x2061,x2062)),x2062)
% 12.43/12.46 [233]~P1(x2331)+~P15(x2332)+E(f4(f6(x2331,a46),x2332),f6(x2331,x2332))
% 12.43/12.46 [180]P6(x1801,x1802)+~P1(x1802)+~P1(x1801)+E(x1801,x1802)
% 12.43/12.46 [181]P6(x1811,x1812)+~P15(x1812)+~P15(x1811)+E(x1811,x1812)
% 12.43/12.46 [200]~P1(x2002)+~P1(x2001)+~P6(x2001,x2002)+~E(x2001,x2002)
% 12.43/12.46 [201]~P1(x2012)+~P1(x2011)+~P12(x2011,x2012)+~E(x2011,x2012)
% 12.43/12.46 [202]~P15(x2022)+~P15(x2021)+~P6(x2021,x2022)+~E(x2021,x2022)
% 12.43/12.46 [211]~P1(x2111)+~P1(x2112)+~P9(x2112,x2111)+P8(x2111,x2112)
% 12.43/12.46 [212]~P1(x2122)+~P1(x2121)+~P12(x2121,x2122)+P8(x2121,x2122)
% 12.43/12.46 [213]~P1(x2131)+~P1(x2132)+~P10(x2132,x2131)+P12(x2131,x2132)
% 12.43/12.46 [214]~P1(x2141)+~P1(x2142)+~P8(x2142,x2141)+P9(x2141,x2142)
% 12.43/12.46 [215]~P1(x2151)+~P1(x2152)+~P12(x2152,x2151)+P10(x2151,x2152)
% 12.43/12.46 [224]~P12(x2241,x2242)+~P12(x2242,x2241)+~P1(x2241)+~P1(x2242)
% 12.43/12.46 [225]~P10(x2251,x2252)+~P10(x2252,x2251)+~P1(x2251)+~P1(x2252)
% 12.43/12.46 [197]~P15(x1972)+~P15(x1971)+E(a46,x1971)+~E(f4(x1972,x1971),a46)
% 12.43/12.46 [198]~P15(x1982)+~P15(x1981)+E(a46,x1981)+~E(f4(x1981,x1982),a46)
% 12.43/12.46 [199]~P1(x1992)+~P15(x1991)+P5(x1991)+~E(f6(x1992,a46),x1991)
% 12.43/12.46 [208]~P1(x2081)+~P15(x2082)+~E(a46,x2082)+P19(f6(x2081,x2082))
% 12.43/12.46 [209]~P1(x2091)+~P15(x2092)+~E(a46,x2092)+P18(f6(x2091,x2092))
% 12.43/12.46 [236]~P1(x2362)+~P15(x2361)+~P11(x2361,x2362)+P15(f41(x2361,x2362))
% 12.43/12.46 [237]~P1(x2372)+~P15(x2371)+~P11(x2371,x2372)+P15(f48(x2371,x2372))
% 12.43/12.46 [238]~P15(x2382)+~P15(x2381)+~P7(x2381,x2382)+P15(f53(x2381,x2382))
% 12.43/12.46 [239]~P15(x2392)+~P15(x2391)+~P14(x2391,x2392)+P15(f54(x2391,x2392))
% 12.43/12.46 [240]~P15(x2402)+~P15(x2401)+~P13(x2401,x2402)+P15(f55(x2401,x2402))
% 12.43/12.46 [241]~P15(x2412)+~P15(x2411)+~P13(x2411,x2412)+P15(f56(x2411,x2412))
% 12.43/12.46 [210]~P15(x2102)+~P15(x2101)+E(a46,x2101)+E(f51(f4(x2101,x2102)),f51(x2101))
% 12.43/12.46 [235]~P15(x2352)+~P15(x2351)+E(a46,x2351)+E(f57(f4(x2351,x2352)),f4(f57(x2351),x2352))
% 12.43/12.46 [248]~P15(x2482)+~P15(x2481)+~P7(x2482,x2481)+E(f4(x2481,f53(x2482,x2481)),x2482)
% 12.43/12.46 [249]~P15(x2492)+~P15(x2491)+~P14(x2491,x2492)+E(f4(f54(x2491,x2492),x2492),x2491)
% 12.43/12.46 [278]~P15(x2782)+~P15(x2781)+~P13(x2781,x2782)+E(f4(f4(f55(x2781,x2782),x2782),f56(x2781,x2782)),x2781)
% 12.43/12.46 [277]~P1(x2772)+~P15(x2771)+~P11(x2771,x2772)+E(f4(f41(x2771,x2772),f6(x2772,f48(x2771,x2772))),x2771)
% 12.43/12.46 [267]~P1(x2671)+~P15(x2672)+~P15(x2673)+E(f6(x2671,f4(x2672,x2673)),f4(f6(x2671,x2672),x2673))
% 12.43/12.46 [268]~P15(x2683)+~P15(x2682)+~P15(x2681)+E(f4(f4(x2681,x2682),x2683),f4(x2681,f4(x2682,x2683)))
% 12.43/12.46 [223]P12(x2231,x2232)+~P1(x2232)+~P1(x2231)+~P8(x2231,x2232)+E(x2231,x2232)
% 12.43/12.46 [228]~P1(x2282)+~P1(x2281)+~P8(x2282,x2281)+~P8(x2281,x2282)+E(x2281,x2282)
% 12.43/12.46 [229]~P1(x2292)+~P1(x2291)+~P9(x2292,x2291)+~P9(x2291,x2292)+E(x2291,x2292)
% 12.43/12.46 [230]~P15(x2302)+~P15(x2301)+~P7(x2302,x2301)+~P7(x2301,x2302)+E(x2301,x2302)
% 12.43/12.46 [231]~P15(x2312)+~P15(x2311)+~P14(x2312,x2311)+~P14(x2311,x2312)+E(x2311,x2312)
% 12.43/12.46 [232]~P15(x2322)+~P15(x2321)+~P13(x2322,x2321)+~P13(x2321,x2322)+E(x2321,x2322)
% 12.43/12.46 [182]~P15(x1821)+~P15(x1822)+~E(a46,x1821)+~E(a46,x1822)+E(f4(x1821,x1822),a46)
% 12.43/12.46 [244]P19(x2441)+~P15(x2441)+~P1(x2442)+E(a46,x2441)+~P19(f6(x2442,x2441))
% 12.43/12.46 [245]P18(x2451)+~P15(x2451)+~P1(x2452)+E(a46,x2451)+~P18(f6(x2452,x2451))
% 12.43/12.46 [258]~P1(x2582)+~P15(x2581)+E(a46,x2581)+P8(x2582,f51(x2581))+~P19(f6(x2582,x2581))
% 12.43/12.46 [259]~P1(x2592)+~P15(x2591)+E(a46,x2591)+P12(x2592,f51(x2591))+~P18(f6(x2592,x2591))
% 12.43/12.46 [226]~P15(x2261)+~P15(x2262)+~P15(x2263)+P7(x2261,x2262)+~E(f4(x2262,x2263),x2261)
% 12.43/12.46 [227]~P15(x2271)+~P15(x2272)+~P15(x2273)+P14(x2271,x2272)+~E(f4(x2273,x2272),x2271)
% 12.43/12.46 [234]~E(x2343,x2341)+~P1(x2341)+~P1(x2343)+~P15(x2342)+P11(f6(x2341,x2342),x2343)
% 12.43/12.46 [242]~P15(x2422)+~P15(x2423)+~P15(x2421)+E(x2421,x2422)+~E(f4(x2423,x2421),f4(x2423,x2422))
% 12.43/12.46 [243]~P15(x2432)+~P15(x2433)+~P15(x2431)+E(x2431,x2432)+~E(f4(x2431,x2433),f4(x2432,x2433))
% 12.43/12.46 [260]~P1(x2601)+~P1(x2603)+~P15(x2602)+~P11(x2602,x2603)+P11(f6(x2601,x2602),x2603)
% 12.43/12.46 [261]~P1(x2613)+~P15(x2611)+~P15(x2612)+~P11(x2612,x2613)+P11(f4(x2611,x2612),x2613)
% 12.43/12.46 [262]~P1(x2623)+~P15(x2622)+~P15(x2621)+~P11(x2621,x2623)+P11(f4(x2621,x2622),x2623)
% 12.43/12.46 [263]~P15(x2632)+~P15(x2633)+~P15(x2631)+~P7(x2631,x2633)+P7(f4(x2631,x2632),x2633)
% 12.43/12.46 [264]~P15(x2641)+~P15(x2643)+~P15(x2642)+~P14(x2642,x2643)+P14(f4(x2641,x2642),x2643)
% 12.43/12.46 [265]~P1(x2652)+~P15(x2651)+~P19(x2651)+~P8(x2652,f51(x2651))+E(a46,x2651)+P19(f6(x2652,x2651))
% 12.43/12.46 [266]~P1(x2662)+~P15(x2661)+~P18(x2661)+~P12(x2662,f51(x2661))+E(a46,x2661)+P18(f6(x2662,x2661))
% 12.43/12.46 [250]~P15(x2502)+~P15(x2501)+~P7(x2503,x2502)+~P7(x2501,x2503)+P7(x2501,x2502)+~P15(x2503)
% 12.43/12.46 [251]~P15(x2512)+~P15(x2511)+~P14(x2513,x2512)+~P14(x2511,x2513)+P14(x2511,x2512)+~P15(x2513)
% 12.43/12.46 [252]~P15(x2522)+~P15(x2521)+~P13(x2523,x2522)+~P13(x2521,x2523)+P13(x2521,x2522)+~P15(x2523)
% 12.43/12.46 [253]~P1(x2532)+~P1(x2531)+~P8(x2533,x2532)+~P8(x2531,x2533)+P8(x2531,x2532)+~P1(x2533)
% 12.43/12.46 [254]~P1(x2542)+~P1(x2541)+~P8(x2541,x2543)+~P12(x2543,x2542)+P12(x2541,x2542)+~P1(x2543)
% 12.43/12.46 [255]~P1(x2552)+~P1(x2551)+~P12(x2553,x2552)+~P12(x2551,x2553)+P12(x2551,x2552)+~P1(x2553)
% 12.43/12.46 [256]~P1(x2562)+~P1(x2561)+~P9(x2563,x2562)+~P9(x2561,x2563)+P9(x2561,x2562)+~P1(x2563)
% 12.43/12.46 [257]~P1(x2572)+~P1(x2571)+~P10(x2573,x2572)+~P10(x2571,x2573)+P10(x2571,x2572)+~P1(x2573)
% 12.43/12.46 [269]~P1(x2692)+~P1(x2691)+~P15(x2693)+E(x2691,x2692)+P11(x2693,x2692)+~P11(f6(x2691,x2693),x2692)
% 12.43/12.46 [272]~P1(x2722)+~P15(x2721)+~P15(x2723)+P11(x2721,x2722)+P11(x2723,x2722)+~P11(f4(x2723,x2721),x2722)
% 12.43/12.46 [246]~P1(x2464)+~P1(x2463)+~P15(x2462)+~P15(x2461)+E(x2461,x2462)+~E(f6(x2463,x2462),f6(x2464,x2461))
% 12.43/12.46 [247]~P1(x2472)+~P1(x2471)+~P15(x2474)+~P15(x2473)+E(x2471,x2472)+~E(f6(x2471,x2473),f6(x2472,x2474))
% 12.43/12.46 [274]~P1(x2742)+~P1(x2741)+E(x2741,x2742)+~P15(x2743)+~P15(x2744)+~P7(f6(x2741,x2744),f6(x2742,x2743))
% 12.43/12.46 [276]~P15(x2762)+~P15(x2761)+P7(x2761,x2762)+~P1(x2763)+~P1(x2764)+~P7(f6(x2764,x2761),f6(x2763,x2762))
% 12.43/12.46 [270]~P1(x2702)+~P15(x2701)+~P15(x2704)+~P15(x2703)+P11(x2701,x2702)+~E(f4(x2703,f6(x2702,x2704)),x2701)
% 12.43/12.46 [271]~P15(x2711)+~P15(x2712)+~P15(x2714)+~P15(x2713)+P13(x2711,x2712)+~E(f4(f4(x2713,x2712),x2714),x2711)
% 12.43/12.46 [275]~P15(x2753)+~P15(x2751)+~P15(x2754)+~P15(x2752)+~P13(x2752,x2754)+P13(f4(f4(x2751,x2752),x2753),x2754)
% 12.43/12.46 [207]~P15(x2072)+~P15(x2071)+E(x2071,x2072)+E(a46,x2072)+E(a46,x2071)+~E(f51(x2071),f51(x2072))+~E(f57(x2071),f57(x2072))
% 12.43/12.46 [273]~E(x2731,x2733)+~P1(x2733)+~P1(x2731)+~P15(x2734)+~P15(x2732)+~P7(x2732,x2734)+P7(f6(x2731,x2732),f6(x2733,x2734))
% 12.43/12.46 [280]~P1(x2802)+~P1(x2801)+~P15(x2804)+~P15(x2803)+~P15(x2805)+~P4(x2805)+E(x2801,x2802)+~E(f4(x2803,f6(x2801,f6(x2802,x2804))),x2805)
% 12.43/12.46 [287]~P1(x2872)+~P1(x2871)+~P15(x2875)+~P15(x2874)+~P15(x2873)+~P15(x2876)+~P3(x2876)+~E(x2871,x2872)+~E(f4(f4(x2873,f6(x2871,x2874)),f6(x2872,x2875)),x2876)
% 12.43/12.46 [288]~P1(x2882)+~P1(x2881)+~P15(x2885)+~P15(x2884)+~P15(x2883)+~P15(x2886)+~P19(x2886)+P8(x2881,x2882)+~E(f4(f4(x2883,f6(x2881,x2884)),f6(x2882,x2885)),x2886)
% 12.43/12.46 [289]~P1(x2892)+~P1(x2891)+~P15(x2895)+~P15(x2894)+~P15(x2893)+~P15(x2896)+~P18(x2896)+P12(x2891,x2892)+~E(f4(f4(x2893,f6(x2891,x2894)),f6(x2892,x2895)),x2896)
% 12.43/12.46 [290]P8(x2902,x2901)+~P1(x2901)+~P1(x2902)+~P15(x2905)+~P15(x2904)+~P15(x2903)+~P15(x2906)+~P16(x2906)+P8(x2901,x2902)+~E(f4(f4(x2903,f6(x2902,x2904)),f6(x2901,x2905)),x2906)
% 12.43/12.46 [291]P12(x2912,x2911)+~P1(x2911)+~P1(x2912)+~P15(x2915)+~P15(x2914)+~P15(x2913)+~P15(x2916)+~P17(x2916)+P12(x2911,x2912)+~E(f4(f4(x2913,f6(x2912,x2914)),f6(x2911,x2915)),x2916)
% 12.43/12.46 [292]~P1(x2924)+~P1(x2922)+~P15(x2925)+~P15(x2923)+~P15(x2921)+~P15(x2926)+~P2(x2926)+~P8(x2924,x2922)+~P8(x2922,x2924)+~E(f4(f4(x2921,f6(x2922,x2923)),f6(x2924,x2925)),x2926)
% 12.43/12.46 %EqnAxiom
% 12.43/12.46 [1]E(x11,x11)
% 12.43/12.46 [2]E(x22,x21)+~E(x21,x22)
% 12.43/12.46 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 12.43/12.46 [4]~E(x41,x42)+E(f51(x41),f51(x42))
% 12.43/12.46 [5]~E(x51,x52)+E(f27(x51),f27(x52))
% 12.43/12.46 [6]~E(x61,x62)+E(f57(x61),f57(x62))
% 12.43/12.46 [7]~E(x71,x72)+E(f45(x71),f45(x72))
% 12.43/12.46 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 12.43/12.46 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 12.43/12.46 [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 12.43/12.46 [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 12.43/12.46 [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 12.43/12.46 [13]~E(x131,x132)+E(f44(x131),f44(x132))
% 12.43/12.46 [14]~E(x141,x142)+E(f29(x141),f29(x142))
% 12.43/12.46 [15]~E(x151,x152)+E(f42(x151),f42(x152))
% 12.43/12.46 [16]~E(x161,x162)+E(f30(x161),f30(x162))
% 12.43/12.46 [17]~E(x171,x172)+E(f36(x171),f36(x172))
% 12.43/12.46 [18]~E(x181,x182)+E(f40(x181),f40(x182))
% 12.43/12.46 [19]~E(x191,x192)+E(f43(x191),f43(x192))
% 12.43/12.46 [20]~E(x201,x202)+E(f5(x201),f5(x202))
% 12.43/12.46 [21]~E(x211,x212)+E(f7(x211),f7(x212))
% 12.43/12.46 [22]~E(x221,x222)+E(f8(x221),f8(x222))
% 12.43/12.46 [23]~E(x231,x232)+E(f9(x231),f9(x232))
% 12.43/12.46 [24]~E(x241,x242)+E(f10(x241),f10(x242))
% 12.43/12.46 [25]~E(x251,x252)+E(f11(x251),f11(x252))
% 12.43/12.46 [26]~E(x261,x262)+E(f12(x261),f12(x262))
% 12.43/12.46 [27]~E(x271,x272)+E(f13(x271),f13(x272))
% 12.43/12.46 [28]~E(x281,x282)+E(f14(x281),f14(x282))
% 12.43/12.46 [29]~E(x291,x292)+E(f15(x291),f15(x292))
% 12.43/12.46 [30]~E(x301,x302)+E(f17(x301),f17(x302))
% 12.43/12.46 [31]~E(x311,x312)+E(f18(x311),f18(x312))
% 12.43/12.46 [32]~E(x321,x322)+E(f19(x321),f19(x322))
% 12.43/12.46 [33]~E(x331,x332)+E(f20(x331),f20(x332))
% 12.43/12.46 [34]~E(x341,x342)+E(f21(x341),f21(x342))
% 12.43/12.46 [35]~E(x351,x352)+E(f22(x351),f22(x352))
% 12.43/12.46 [36]~E(x361,x362)+E(f23(x361),f23(x362))
% 12.43/12.46 [37]~E(x371,x372)+E(f24(x371),f24(x372))
% 12.43/12.46 [38]~E(x381,x382)+E(f25(x381),f25(x382))
% 12.43/12.46 [39]~E(x391,x392)+E(f26(x391),f26(x392))
% 12.43/12.46 [40]~E(x401,x402)+E(f31(x401),f31(x402))
% 12.43/12.46 [41]~E(x411,x412)+E(f32(x411),f32(x412))
% 12.43/12.46 [42]~E(x421,x422)+E(f33(x421),f33(x422))
% 12.43/12.46 [43]~E(x431,x432)+E(f34(x431),f34(x432))
% 12.43/12.46 [44]~E(x441,x442)+E(f35(x441),f35(x442))
% 12.43/12.46 [45]~E(x451,x452)+E(f54(x451,x453),f54(x452,x453))
% 12.43/12.46 [46]~E(x461,x462)+E(f54(x463,x461),f54(x463,x462))
% 12.43/12.46 [47]~E(x471,x472)+E(f37(x471),f37(x472))
% 12.43/12.46 [48]~E(x481,x482)+E(f41(x481,x483),f41(x482,x483))
% 12.43/12.46 [49]~E(x491,x492)+E(f41(x493,x491),f41(x493,x492))
% 12.43/12.46 [50]~E(x501,x502)+E(f38(x501),f38(x502))
% 12.43/12.46 [51]~E(x511,x512)+E(f39(x511),f39(x512))
% 12.43/12.46 [52]~E(x521,x522)+E(f55(x521,x523),f55(x522,x523))
% 12.43/12.46 [53]~E(x531,x532)+E(f55(x533,x531),f55(x533,x532))
% 12.43/12.46 [54]~E(x541,x542)+E(f48(x541,x543),f48(x542,x543))
% 12.43/12.46 [55]~E(x551,x552)+E(f48(x553,x551),f48(x553,x552))
% 12.43/12.46 [56]~E(x561,x562)+E(f56(x561,x563),f56(x562,x563))
% 12.43/12.46 [57]~E(x571,x572)+E(f56(x573,x571),f56(x573,x572))
% 12.43/12.46 [58]~E(x581,x582)+E(f53(x581,x583),f53(x582,x583))
% 12.43/12.46 [59]~E(x591,x592)+E(f53(x593,x591),f53(x593,x592))
% 12.43/12.46 [60]~E(x601,x602)+E(f52(x601),f52(x602))
% 12.43/12.46 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 12.43/12.46 [62]P8(x622,x623)+~E(x621,x622)+~P8(x621,x623)
% 12.43/12.46 [63]P8(x633,x632)+~E(x631,x632)+~P8(x633,x631)
% 12.43/12.46 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 12.43/12.46 [65]P11(x652,x653)+~E(x651,x652)+~P11(x651,x653)
% 12.43/12.46 [66]P11(x663,x662)+~E(x661,x662)+~P11(x663,x661)
% 12.43/12.46 [67]~P4(x671)+P4(x672)+~E(x671,x672)
% 12.43/12.46 [68]~P18(x681)+P18(x682)+~E(x681,x682)
% 12.43/12.46 [69]~P3(x691)+P3(x692)+~E(x691,x692)
% 12.43/12.46 [70]~P2(x701)+P2(x702)+~E(x701,x702)
% 12.43/12.46 [71]~P16(x711)+P16(x712)+~E(x711,x712)
% 12.43/12.46 [72]~P17(x721)+P17(x722)+~E(x721,x722)
% 12.43/12.46 [73]~P19(x731)+P19(x732)+~E(x731,x732)
% 12.43/12.46 [74]P12(x742,x743)+~E(x741,x742)+~P12(x741,x743)
% 12.43/12.46 [75]P12(x753,x752)+~E(x751,x752)+~P12(x753,x751)
% 12.43/12.46 [76]P13(x762,x763)+~E(x761,x762)+~P13(x761,x763)
% 12.43/12.46 [77]P13(x773,x772)+~E(x771,x772)+~P13(x773,x771)
% 12.43/12.46 [78]P6(x782,x783)+~E(x781,x782)+~P6(x781,x783)
% 12.43/12.46 [79]P6(x793,x792)+~E(x791,x792)+~P6(x793,x791)
% 12.43/12.46 [80]~P5(x801)+P5(x802)+~E(x801,x802)
% 12.43/12.46 [81]P9(x812,x813)+~E(x811,x812)+~P9(x811,x813)
% 12.43/12.46 [82]P9(x823,x822)+~E(x821,x822)+~P9(x823,x821)
% 12.43/12.46 [83]P14(x832,x833)+~E(x831,x832)+~P14(x831,x833)
% 12.43/12.46 [84]P14(x843,x842)+~E(x841,x842)+~P14(x843,x841)
% 12.43/12.46 [85]P7(x852,x853)+~E(x851,x852)+~P7(x851,x853)
% 12.43/12.46 [86]P7(x863,x862)+~E(x861,x862)+~P7(x863,x861)
% 12.43/12.46 [87]P10(x872,x873)+~E(x871,x872)+~P10(x871,x873)
% 12.43/12.46 [88]P10(x883,x882)+~E(x881,x882)+~P10(x883,x881)
% 12.43/12.46
% 12.43/12.46 %-------------------------------------------
% 12.43/12.46 cnf(297,plain,
% 12.43/12.46 (~P6(x2971,x2971)+~P1(x2971)+~P1(x2971)),
% 12.43/12.46 inference(equality_inference,[],[200])).
% 12.43/12.46 cnf(299,plain,
% 12.43/12.47 (~P6(x2991,x2991)+~P15(x2991)+~P15(x2991)),
% 12.43/12.47 inference(equality_inference,[],[202])).
% 12.43/12.47 cnf(311,plain,
% 12.43/12.47 (~P1(x3111)+~P1(x3111)+~P7(x3112,x3113)+~P15(x3113)+~P15(x3112)+P7(f6(x3111,x3112),f6(x3111,x3113))),
% 12.43/12.47 inference(equality_inference,[],[273])).
% 12.43/12.47 cnf(318,plain,
% 12.43/12.47 (E(a46,a1)),
% 12.43/12.47 inference(scs_inference,[],[89,2])).
% 12.43/12.47 cnf(326,plain,
% 12.43/12.47 (P4(a1)),
% 12.43/12.47 inference(scs_inference,[],[89,95,107,92,105,2,179,297,299,3,67])).
% 12.43/12.47 cnf(327,plain,
% 12.43/12.47 (P18(a1)),
% 12.43/12.47 inference(scs_inference,[],[89,95,107,92,103,105,2,179,297,299,3,67,68])).
% 12.43/12.47 cnf(328,plain,
% 12.43/12.47 (P3(a1)),
% 12.43/12.47 inference(scs_inference,[],[89,95,107,92,103,104,105,2,179,297,299,3,67,68,69])).
% 12.43/12.47 cnf(329,plain,
% 12.43/12.47 (P2(a1)),
% 12.43/12.47 inference(scs_inference,[],[89,95,107,92,99,103,104,105,2,179,297,299,3,67,68,69,70])).
% 12.43/12.47 cnf(330,plain,
% 12.43/12.47 (P16(a1)),
% 12.43/12.47 inference(scs_inference,[],[89,95,107,92,99,100,103,104,105,2,179,297,299,3,67,68,69,70,71])).
% 12.43/12.47 cnf(331,plain,
% 12.43/12.47 (P17(a1)),
% 12.43/12.47 inference(scs_inference,[],[89,95,107,92,99,100,101,103,104,105,2,179,297,299,3,67,68,69,70,71,72])).
% 12.43/12.47 cnf(332,plain,
% 12.43/12.47 (P19(a1)),
% 12.43/12.47 inference(scs_inference,[],[89,95,107,92,99,100,101,102,103,104,105,2,179,297,299,3,67,68,69,70,71,72,73])).
% 12.43/12.47 cnf(340,plain,
% 12.43/12.47 (P14(a1,a1)),
% 12.43/12.47 inference(scs_inference,[],[89,95,96,107,92,99,100,101,102,103,104,105,108,2,179,297,299,3,67,68,69,70,71,72,73,80,170,171,172,83])).
% 12.43/12.47 cnf(342,plain,
% 12.43/12.47 (P7(a1,a1)),
% 12.43/12.47 inference(scs_inference,[],[89,95,96,107,92,99,100,101,102,103,104,105,108,2,179,297,299,3,67,68,69,70,71,72,73,80,170,171,172,83,84,85])).
% 12.43/12.47 cnf(348,plain,
% 12.43/12.47 (P13(a46,a46)),
% 12.43/12.47 inference(scs_inference,[],[89,95,96,107,92,99,100,101,102,103,104,105,108,2,179,297,299,3,67,68,69,70,71,72,73,80,170,171,172,83,84,85,86,311,61,76,77])).
% 12.43/12.47 cnf(379,plain,
% 12.43/12.47 (P13(a46,a49)),
% 12.43/12.47 inference(scs_inference,[],[89,90,91,97,98,96,318,348,326,327,328,329,330,331,332,342,93,340,179,2,73,3,70,297,76,86,71,299,68,67,69,84,72,311,172])).
% 12.43/12.47 cnf(423,plain,
% 12.43/12.47 (~P6(a46,a46)),
% 12.43/12.47 inference(scs_inference,[],[94,299])).
% 12.43/12.47 cnf(1136,plain,
% 12.43/12.47 (P15(a50)),
% 12.43/12.47 inference(scs_inference,[],[107,90,109,3])).
% 12.43/12.47 cnf(1137,plain,
% 12.43/12.47 (~P6(a50,a50)),
% 12.43/12.47 inference(scs_inference,[],[1136,299])).
% 12.43/12.47 cnf(1628,plain,
% 12.43/12.47 (P6(a50,a46)),
% 12.43/12.47 inference(scs_inference,[],[107,90,111,3])).
% 12.43/12.47 cnf(1630,plain,
% 12.43/12.47 (~E(a46,a50)),
% 12.43/12.47 inference(scs_inference,[],[1628,423,1137,78,79])).
% 12.43/12.47 cnf(1694,plain,
% 12.43/12.47 (P13(a49,a50)),
% 12.43/12.47 inference(scs_inference,[],[107,90,113,3])).
% 12.43/12.47 cnf(1905,plain,
% 12.43/12.47 ($false),
% 12.43/12.47 inference(scs_inference,[],[1136,98,1694,1630,94,379,252,178]),
% 12.43/12.47 ['proof']).
% 12.43/12.47 % SZS output end Proof
% 12.43/12.47 % Total time :11.750000s
%------------------------------------------------------------------------------