%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC039+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 : n023.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 16:13:42 EDT 2024
% Result : Theorem 15.13s 15.21s
% Output : CNFRefutation 15.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWC039+1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Jun 20 05:02:39 EDT 2024
% 0.16/0.32 % CPUTime :
% 0.45/0.54 start to proof:theBenchmark
% 15.13/15.20 %-------------------------------------------
% 15.13/15.20 % File :CSE---1.7
% 15.13/15.20 % Problem :theBenchmark
% 15.13/15.20 % Transform :cnf
% 15.13/15.20 % Format :tptp:raw
% 15.13/15.20 % Command :java -jar mcs_scs.jar %d %s
% 15.13/15.20
% 15.13/15.20 % Result :Theorem 14.540000s
% 15.13/15.20 % Output :CNFRefutation 14.540000s
% 15.13/15.20 %-------------------------------------------
% 15.13/15.21 %--------------------------------------------------------------------------
% 15.13/15.21 % File : SWC039+1 : TPTP v8.2.0. Released v2.4.0.
% 15.13/15.21 % Domain : Software Creation
% 15.13/15.21 % Problem : cond_id_nil_x_pivot
% 15.13/15.21 % Version : [Wei00] axioms.
% 15.13/15.21 % English : Find components in a software library that match a given target
% 15.13/15.21 % specification given in first-order logic. The components are
% 15.13/15.21 % specified in first-order logic as well. The problem represents
% 15.13/15.21 % a test of one library module specification against a target
% 15.13/15.21 % specification.
% 15.13/15.21
% 15.13/15.21 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 15.13/15.21 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 15.13/15.21 % Source : [Wei00]
% 15.13/15.21 % Names : cond_id_nil_x_pivot [Wei00]
% 15.13/15.21
% 15.13/15.21 % Status : Theorem
% 15.13/15.21 % Rating : 0.33 v8.2.0, 0.31 v7.5.0, 0.34 v7.4.0, 0.23 v7.3.0, 0.34 v7.1.0, 0.30 v7.0.0, 0.33 v6.4.0, 0.38 v6.2.0, 0.44 v6.1.0, 0.47 v6.0.0, 0.43 v5.5.0, 0.52 v5.4.0, 0.54 v5.3.0, 0.59 v5.2.0, 0.50 v5.1.0, 0.48 v5.0.0, 0.42 v4.1.0, 0.43 v4.0.0, 0.42 v3.7.0, 0.40 v3.5.0, 0.37 v3.4.0, 0.42 v3.3.0, 0.29 v3.2.0, 0.27 v3.1.0, 0.33 v2.4.0
% 15.13/15.21 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 15.13/15.21 % Number of atoms : 415 ( 79 equ)
% 15.13/15.21 % Maximal formula atoms : 21 ( 4 avg)
% 15.13/15.21 % Number of connectives : 350 ( 31 ~; 16 |; 43 &)
% 15.13/15.21 % ( 26 <=>; 234 =>; 0 <=; 0 <~>)
% 15.13/15.21 % Maximal formula depth : 26 ( 7 avg)
% 15.13/15.21 % Maximal term depth : 4 ( 1 avg)
% 15.13/15.21 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 15.13/15.21 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 15.13/15.21 % Number of variables : 212 ( 197 !; 15 ?)
% 15.13/15.21 % SPC : FOF_THM_RFO_SEQ
% 15.13/15.21
% 15.13/15.21 % Comments :
% 15.13/15.21 %--------------------------------------------------------------------------
% 15.13/15.21 %----Include list specification axioms
% 15.13/15.21 include('Axioms/SWC001+0.ax').
% 15.13/15.21 %--------------------------------------------------------------------------
% 15.13/15.21 fof(co1,conjecture,
% 15.13/15.21 ! [U] :
% 15.13/15.21 ( ssList(U)
% 15.13/15.21 => ! [V] :
% 15.13/15.21 ( ssList(V)
% 15.13/15.21 => ! [W] :
% 15.13/15.21 ( ssList(W)
% 15.13/15.21 => ! [X] :
% 15.13/15.21 ( ssList(X)
% 15.13/15.21 => ( nil != V
% 15.13/15.21 | V != X
% 15.13/15.21 | U != W
% 15.13/15.21 | nil = U
% 15.13/15.21 | ( ! [Y] :
% 15.13/15.21 ( ssItem(Y)
% 15.13/15.21 => ! [Z] :
% 15.13/15.21 ( ssList(Z)
% 15.13/15.21 => ! [X1] :
% 15.13/15.21 ( ssList(X1)
% 15.13/15.21 => ( cons(Y,nil) != W
% 15.13/15.21 | app(app(Z,W),X1) != X
% 15.13/15.21 | ? [X2] :
% 15.13/15.21 ( ssItem(X2)
% 15.13/15.21 & memberP(Z,X2)
% 15.13/15.21 & lt(Y,X2) )
% 15.13/15.21 | ? [X3] :
% 15.13/15.21 ( ssItem(X3)
% 15.13/15.21 & memberP(X1,X3)
% 15.13/15.21 & lt(X3,Y) ) ) ) ) )
% 15.13/15.21 & ( nil != X
% 15.13/15.21 | nil != W ) ) ) ) ) ) ) ).
% 15.13/15.21
% 15.13/15.21 %--------------------------------------------------------------------------
% 15.13/15.21 %-------------------------------------------
% 15.13/15.21 % Proof found
% 15.13/15.21 % SZS status Theorem for theBenchmark
% 15.13/15.21 % SZS output start Proof
% 15.13/15.21 %ClaNum:298(EqnAxiom:88)
% 15.13/15.21 %VarNum:1020(SingletonVarNum:331)
% 15.13/15.21 %MaxLitNum:10
% 15.13/15.21 %MaxfuncDepth:4
% 15.13/15.21 %SharedTerms:40
% 15.13/15.21 %goalClause: 89 90 91 95 96 97 98 107 109 110 111 112 113 114 115 116 182 183 212 213 214 215
% 15.13/15.21 %singleGoalClaCount:8
% 15.13/15.21 [89]E(a1,a46)
% 15.13/15.21 [90]E(a2,a47)
% 15.13/15.21 [91]E(a1,a49)
% 15.13/15.21 [92]P1(a3)
% 15.13/15.21 [93]P1(a16)
% 15.13/15.21 [94]P15(a46)
% 15.13/15.21 [95]P15(a2)
% 15.13/15.21 [96]P15(a1)
% 15.13/15.21 [97]P15(a47)
% 15.13/15.21 [98]P15(a49)
% 15.13/15.21 [99]P2(a46)
% 15.13/15.21 [100]P16(a46)
% 15.13/15.21 [101]P17(a46)
% 15.13/15.21 [102]P19(a46)
% 15.13/15.21 [103]P18(a46)
% 15.13/15.21 [104]P3(a46)
% 15.13/15.21 [105]P4(a46)
% 15.13/15.21 [106]~E(a16,a3)
% 15.13/15.21 [107]~E(a2,a46)
% 15.13/15.21 [108]~P5(a46)
% 15.13/15.21 [109]E(a47,a46)+P1(a50)
% 15.13/15.21 [110]E(a47,a46)+P15(a51)
% 15.13/15.21 [111]E(a47,a46)+P15(a52)
% 15.13/15.21 [112]E(a49,a46)+P1(a50)
% 15.13/15.21 [113]E(a49,a46)+P15(a51)
% 15.13/15.21 [114]E(a49,a46)+P15(a52)
% 15.13/15.21 [115]E(a47,a46)+E(f4(a50,a46),a47)
% 15.13/15.21 [116]E(a49,a46)+E(f4(a50,a46),a47)
% 15.13/15.21 [182]E(a47,a46)+E(f5(f5(a51,a47),a52),a49)
% 15.13/15.21 [183]E(a49,a46)+E(f5(f5(a51,a47),a52),a49)
% 15.13/15.21 [125]~P15(x1251)+P6(x1251,a46)
% 15.13/15.21 [126]~P15(x1261)+P7(x1261,a46)
% 15.13/15.21 [127]~P15(x1271)+P14(x1271,a46)
% 15.13/15.21 [131]~P15(x1311)+P6(x1311,x1311)
% 15.13/15.21 [132]~P15(x1321)+P7(x1321,x1321)
% 15.13/15.21 [133]~P15(x1331)+P14(x1331,x1331)
% 15.13/15.21 [134]~P1(x1341)+P8(x1341,x1341)
% 15.13/15.21 [135]~P1(x1351)+P9(x1351,x1351)
% 15.13/15.21 [175]~P1(x1751)+~P11(a46,x1751)
% 15.13/15.21 [179]~P12(x1791,x1791)+~P1(x1791)
% 15.13/15.21 [129]~P15(x1291)+E(f5(x1291,a46),x1291)
% 15.13/15.21 [130]~P15(x1301)+E(f5(a46,x1301),x1301)
% 15.13/15.21 [186]~P1(x1861)+P2(f4(x1861,a46))
% 15.13/15.21 [187]~P1(x1871)+P16(f4(x1871,a46))
% 15.13/15.21 [188]~P1(x1881)+P17(f4(x1881,a46))
% 15.13/15.21 [189]~P1(x1891)+P19(f4(x1891,a46))
% 15.13/15.21 [190]~P1(x1901)+P18(f4(x1901,a46))
% 15.13/15.21 [191]~P1(x1911)+P3(f4(x1911,a46))
% 15.13/15.21 [192]~P1(x1921)+P4(f4(x1921,a46))
% 15.13/15.21 [170]~P15(x1701)+~E(a46,x1701)+P6(a46,x1701)
% 15.13/15.21 [171]~P15(x1711)+~E(a46,x1711)+P7(a46,x1711)
% 15.13/15.21 [172]~P15(x1721)+~E(a46,x1721)+P14(a46,x1721)
% 15.13/15.21 [176]~P15(x1761)+~P6(a46,x1761)+E(a46,x1761)
% 15.13/15.21 [177]~P15(x1771)+~P7(a46,x1771)+E(a46,x1771)
% 15.13/15.22 [178]~P15(x1781)+~P14(a46,x1781)+E(a46,x1781)
% 15.13/15.22 [117]~P15(x1171)+E(f53(x1171),f27(x1171))+E(a46,x1171)
% 15.13/15.22 [118]~P15(x1181)+E(f59(x1181),f45(x1181))+E(a46,x1181)
% 15.13/15.22 [119]~P15(x1191)+E(a46,x1191)+P1(f53(x1191))
% 15.13/15.22 [120]~P15(x1201)+E(a46,x1201)+P1(f28(x1201))
% 15.13/15.22 [121]~P15(x1211)+E(a46,x1211)+P1(f27(x1211))
% 15.13/15.22 [122]~P15(x1221)+E(a46,x1221)+P15(f59(x1221))
% 15.13/15.22 [123]~P15(x1231)+E(a46,x1231)+P15(f29(x1231))
% 15.13/15.22 [124]~P15(x1241)+E(a46,x1241)+P15(f45(x1241))
% 15.13/15.22 [128]P3(x1281)+~P15(x1281)+E(f30(x1281),f36(x1281))
% 15.13/15.22 [136]~P15(x1361)+P2(x1361)+P1(f6(x1361))
% 15.13/15.22 [137]~P15(x1371)+P2(x1371)+P1(f7(x1371))
% 15.13/15.22 [138]~P15(x1381)+P2(x1381)+P15(f8(x1381))
% 15.13/15.22 [139]~P15(x1391)+P2(x1391)+P15(f9(x1391))
% 15.13/15.22 [140]~P15(x1401)+P2(x1401)+P15(f10(x1401))
% 15.13/15.22 [141]~P15(x1411)+P16(x1411)+P1(f11(x1411))
% 15.13/15.22 [142]~P15(x1421)+P16(x1421)+P1(f12(x1421))
% 15.13/15.22 [143]~P15(x1431)+P16(x1431)+P15(f13(x1431))
% 15.13/15.22 [144]~P15(x1441)+P16(x1441)+P15(f14(x1441))
% 15.13/15.22 [145]~P15(x1451)+P16(x1451)+P15(f15(x1451))
% 15.13/15.22 [146]~P15(x1461)+P17(x1461)+P1(f17(x1461))
% 15.13/15.22 [147]~P15(x1471)+P17(x1471)+P1(f18(x1471))
% 15.13/15.22 [148]~P15(x1481)+P17(x1481)+P15(f19(x1481))
% 15.13/15.22 [149]~P15(x1491)+P17(x1491)+P15(f20(x1491))
% 15.13/15.22 [150]~P15(x1501)+P17(x1501)+P15(f21(x1501))
% 15.13/15.22 [151]~P15(x1511)+P19(x1511)+P1(f22(x1511))
% 15.13/15.22 [152]~P15(x1521)+P19(x1521)+P1(f23(x1521))
% 15.13/15.22 [153]~P15(x1531)+P19(x1531)+P15(f24(x1531))
% 15.13/15.22 [154]~P15(x1541)+P19(x1541)+P15(f25(x1541))
% 15.13/15.22 [155]~P15(x1551)+P19(x1551)+P15(f26(x1551))
% 15.13/15.22 [156]~P15(x1561)+P18(x1561)+P1(f31(x1561))
% 15.13/15.22 [157]~P15(x1571)+P18(x1571)+P1(f32(x1571))
% 15.13/15.22 [158]~P15(x1581)+P18(x1581)+P15(f33(x1581))
% 15.13/15.22 [159]~P15(x1591)+P18(x1591)+P15(f34(x1591))
% 15.13/15.22 [160]~P15(x1601)+P18(x1601)+P15(f35(x1601))
% 15.13/15.22 [161]~P15(x1611)+P3(x1611)+P1(f30(x1611))
% 15.13/15.22 [162]~P15(x1621)+P3(x1621)+P1(f36(x1621))
% 15.13/15.22 [163]~P15(x1631)+P3(x1631)+P15(f37(x1631))
% 15.13/15.22 [164]~P15(x1641)+P3(x1641)+P15(f38(x1641))
% 15.13/15.22 [165]~P15(x1651)+P3(x1651)+P15(f39(x1651))
% 15.13/15.22 [166]~P15(x1661)+P4(x1661)+P1(f40(x1661))
% 15.13/15.22 [167]~P15(x1671)+P4(x1671)+P1(f42(x1671))
% 15.13/15.22 [168]~P15(x1681)+P4(x1681)+P15(f43(x1681))
% 15.13/15.22 [169]~P15(x1691)+P4(x1691)+P15(f44(x1691))
% 15.13/15.22 [173]~P15(x1731)+P4(x1731)+~E(f42(x1731),f40(x1731))
% 15.13/15.22 [174]~P15(x1741)+~P5(x1741)+P1(f54(x1741))
% 15.13/15.22 [197]~P15(x1971)+P2(x1971)+P8(f6(x1971),f7(x1971))
% 15.13/15.22 [198]~P15(x1981)+P2(x1981)+P8(f7(x1981),f6(x1981))
% 15.13/15.22 [222]~P15(x2221)+P16(x2221)+~P8(f11(x2221),f12(x2221))
% 15.13/15.22 [223]~P15(x2231)+P16(x2231)+~P8(f12(x2231),f11(x2231))
% 15.13/15.22 [224]~P15(x2241)+P17(x2241)+~P12(f17(x2241),f18(x2241))
% 15.13/15.22 [225]~P15(x2251)+P17(x2251)+~P12(f18(x2251),f17(x2251))
% 15.13/15.22 [226]~P15(x2261)+P19(x2261)+~P8(f22(x2261),f23(x2261))
% 15.13/15.22 [227]~P15(x2271)+P18(x2271)+~P12(f31(x2271),f32(x2271))
% 15.13/15.22 [185]~P15(x1851)+~P5(x1851)+E(f4(f54(x1851),a46),x1851)
% 15.13/15.22 [193]~P15(x1931)+E(a46,x1931)+E(f4(f53(x1931),f59(x1931)),x1931)
% 15.13/15.22 [194]~P15(x1941)+E(a46,x1941)+E(f4(f28(x1941),f29(x1941)),x1941)
% 15.13/15.22 [287]P2(x2871)+~P15(x2871)+E(f5(f5(f8(x2871),f4(f6(x2871),f9(x2871))),f4(f7(x2871),f10(x2871))),x2871)
% 15.13/15.22 [288]P16(x2881)+~P15(x2881)+E(f5(f5(f13(x2881),f4(f11(x2881),f14(x2881))),f4(f12(x2881),f15(x2881))),x2881)
% 15.13/15.22 [289]P17(x2891)+~P15(x2891)+E(f5(f5(f19(x2891),f4(f17(x2891),f20(x2891))),f4(f18(x2891),f21(x2891))),x2891)
% 15.13/15.22 [290]P19(x2901)+~P15(x2901)+E(f5(f5(f24(x2901),f4(f22(x2901),f25(x2901))),f4(f23(x2901),f26(x2901))),x2901)
% 15.13/15.22 [291]P18(x2911)+~P15(x2911)+E(f5(f5(f33(x2911),f4(f31(x2911),f34(x2911))),f4(f32(x2911),f35(x2911))),x2911)
% 15.13/15.22 [292]P3(x2921)+~P15(x2921)+E(f5(f5(f37(x2921),f4(f30(x2921),f38(x2921))),f4(f36(x2921),f39(x2921))),x2921)
% 15.13/15.22 [285]P4(x2851)+~P15(x2851)+E(f5(f43(x2851),f4(f40(x2851),f4(f42(x2851),f44(x2851)))),x2851)
% 15.13/15.22 [195]~P1(x1951)+~P15(x1952)+~E(f4(x1951,x1952),a46)
% 15.13/15.22 [196]~P1(x1961)+~P15(x1962)+~E(f4(x1961,x1962),x1962)
% 15.13/15.22 [205]~P1(x2051)+~P15(x2052)+P15(f4(x2051,x2052))
% 15.13/15.22 [206]~P15(x2062)+~P15(x2061)+P15(f5(x2061,x2062))
% 15.13/15.22 [207]~P1(x2071)+~P15(x2072)+E(f53(f4(x2071,x2072)),x2071)
% 15.13/15.22 [208]~P1(x2081)+~P15(x2082)+E(f59(f4(x2081,x2082)),x2082)
% 15.13/15.22 [239]~P1(x2391)+~P15(x2392)+E(f5(f4(x2391,a46),x2392),f4(x2391,x2392))
% 15.13/15.22 [212]~P1(x2121)+E(a47,a46)+~P12(x2121,a50)+~P11(a52,x2121)
% 15.13/15.22 [213]~P1(x2131)+E(a49,a46)+~P12(x2131,a50)+~P11(a52,x2131)
% 15.13/15.22 [214]~P1(x2141)+E(a47,a46)+~P11(a51,x2141)+~P12(a50,x2141)
% 15.13/15.22 [215]~P1(x2151)+E(a49,a46)+~P11(a51,x2151)+~P12(a50,x2151)
% 15.13/15.22 [180]P13(x1801,x1802)+~P1(x1802)+~P1(x1801)+E(x1801,x1802)
% 15.13/15.22 [181]P13(x1811,x1812)+~P15(x1812)+~P15(x1811)+E(x1811,x1812)
% 15.13/15.22 [202]~P1(x2022)+~P1(x2021)+~P13(x2021,x2022)+~E(x2021,x2022)
% 15.13/15.22 [203]~P1(x2032)+~P1(x2031)+~P12(x2031,x2032)+~E(x2031,x2032)
% 15.13/15.22 [204]~P15(x2042)+~P15(x2041)+~P13(x2041,x2042)+~E(x2041,x2042)
% 15.13/15.22 [217]~P1(x2171)+~P1(x2172)+~P9(x2172,x2171)+P8(x2171,x2172)
% 15.13/15.22 [218]~P1(x2182)+~P1(x2181)+~P12(x2181,x2182)+P8(x2181,x2182)
% 15.13/15.22 [219]~P1(x2191)+~P1(x2192)+~P10(x2192,x2191)+P12(x2191,x2192)
% 15.13/15.22 [220]~P1(x2201)+~P1(x2202)+~P8(x2202,x2201)+P9(x2201,x2202)
% 15.13/15.22 [221]~P1(x2211)+~P1(x2212)+~P12(x2212,x2211)+P10(x2211,x2212)
% 15.13/15.22 [230]~P12(x2301,x2302)+~P12(x2302,x2301)+~P1(x2301)+~P1(x2302)
% 15.13/15.22 [231]~P10(x2311,x2312)+~P10(x2312,x2311)+~P1(x2311)+~P1(x2312)
% 15.13/15.22 [199]~P15(x1992)+~P15(x1991)+E(a46,x1991)+~E(f5(x1992,x1991),a46)
% 15.13/15.22 [200]~P15(x2002)+~P15(x2001)+E(a46,x2001)+~E(f5(x2001,x2002),a46)
% 15.13/15.22 [201]~P1(x2012)+~P15(x2011)+P5(x2011)+~E(f4(x2012,a46),x2011)
% 15.13/15.22 [210]~P1(x2101)+~P15(x2102)+~E(a46,x2102)+P19(f4(x2101,x2102))
% 15.13/15.22 [211]~P1(x2111)+~P15(x2112)+~E(a46,x2112)+P18(f4(x2111,x2112))
% 15.13/15.22 [242]~P1(x2422)+~P15(x2421)+~P11(x2421,x2422)+P15(f41(x2421,x2422))
% 15.13/15.22 [243]~P1(x2432)+~P15(x2431)+~P11(x2431,x2432)+P15(f48(x2431,x2432))
% 15.13/15.22 [244]~P15(x2442)+~P15(x2441)+~P6(x2441,x2442)+P15(f55(x2441,x2442))
% 15.13/15.22 [245]~P15(x2452)+~P15(x2451)+~P7(x2451,x2452)+P15(f56(x2451,x2452))
% 15.13/15.22 [246]~P15(x2462)+~P15(x2461)+~P14(x2461,x2462)+P15(f57(x2461,x2462))
% 15.13/15.22 [247]~P15(x2472)+~P15(x2471)+~P14(x2471,x2472)+P15(f58(x2471,x2472))
% 15.13/15.22 [216]~P15(x2162)+~P15(x2161)+E(a46,x2161)+E(f53(f5(x2161,x2162)),f53(x2161))
% 15.13/15.22 [241]~P15(x2412)+~P15(x2411)+E(a46,x2411)+E(f59(f5(x2411,x2412)),f5(f59(x2411),x2412))
% 15.13/15.22 [254]~P15(x2542)+~P15(x2541)+~P6(x2542,x2541)+E(f5(x2541,f55(x2542,x2541)),x2542)
% 15.13/15.22 [255]~P15(x2552)+~P15(x2551)+~P7(x2551,x2552)+E(f5(f56(x2551,x2552),x2552),x2551)
% 15.13/15.22 [284]~P15(x2842)+~P15(x2841)+~P14(x2841,x2842)+E(f5(f5(f57(x2841,x2842),x2842),f58(x2841,x2842)),x2841)
% 15.13/15.22 [283]~P1(x2832)+~P15(x2831)+~P11(x2831,x2832)+E(f5(f41(x2831,x2832),f4(x2832,f48(x2831,x2832))),x2831)
% 15.13/15.22 [273]~P1(x2731)+~P15(x2732)+~P15(x2733)+E(f5(f4(x2731,x2732),x2733),f4(x2731,f5(x2732,x2733)))
% 15.13/15.22 [274]~P15(x2743)+~P15(x2742)+~P15(x2741)+E(f5(f5(x2741,x2742),x2743),f5(x2741,f5(x2742,x2743)))
% 15.13/15.22 [229]P12(x2291,x2292)+~P1(x2292)+~P1(x2291)+~P8(x2291,x2292)+E(x2291,x2292)
% 15.13/15.22 [234]~P1(x2342)+~P1(x2341)+~P8(x2342,x2341)+~P8(x2341,x2342)+E(x2341,x2342)
% 15.13/15.22 [235]~P1(x2352)+~P1(x2351)+~P9(x2352,x2351)+~P9(x2351,x2352)+E(x2351,x2352)
% 15.13/15.22 [236]~P15(x2362)+~P15(x2361)+~P6(x2362,x2361)+~P6(x2361,x2362)+E(x2361,x2362)
% 15.13/15.22 [237]~P15(x2372)+~P15(x2371)+~P7(x2372,x2371)+~P7(x2371,x2372)+E(x2371,x2372)
% 15.13/15.22 [238]~P15(x2382)+~P15(x2381)+~P14(x2382,x2381)+~P14(x2381,x2382)+E(x2381,x2382)
% 15.13/15.22 [184]~P15(x1841)+~P15(x1842)+~E(a46,x1841)+~E(a46,x1842)+E(f5(x1841,x1842),a46)
% 15.13/15.22 [250]P19(x2501)+~P15(x2501)+~P1(x2502)+E(a46,x2501)+~P19(f4(x2502,x2501))
% 15.13/15.22 [251]P18(x2511)+~P15(x2511)+~P1(x2512)+E(a46,x2511)+~P18(f4(x2512,x2511))
% 15.13/15.22 [264]~P1(x2642)+~P15(x2641)+E(a46,x2641)+P8(x2642,f53(x2641))+~P19(f4(x2642,x2641))
% 15.13/15.22 [265]~P1(x2652)+~P15(x2651)+E(a46,x2651)+P12(x2652,f53(x2651))+~P18(f4(x2652,x2651))
% 15.13/15.22 [232]~P15(x2321)+~P15(x2322)+~P15(x2323)+P6(x2321,x2322)+~E(f5(x2322,x2323),x2321)
% 15.13/15.22 [233]~P15(x2331)+~P15(x2332)+~P15(x2333)+P7(x2331,x2332)+~E(f5(x2333,x2332),x2331)
% 15.13/15.22 [240]~E(x2403,x2401)+~P1(x2401)+~P1(x2403)+~P15(x2402)+P11(f4(x2401,x2402),x2403)
% 15.13/15.22 [248]~P15(x2482)+~P15(x2483)+~P15(x2481)+E(x2481,x2482)+~E(f5(x2483,x2481),f5(x2483,x2482))
% 15.13/15.22 [249]~P15(x2492)+~P15(x2493)+~P15(x2491)+E(x2491,x2492)+~E(f5(x2491,x2493),f5(x2492,x2493))
% 15.13/15.22 [266]~P1(x2661)+~P1(x2663)+~P15(x2662)+~P11(x2662,x2663)+P11(f4(x2661,x2662),x2663)
% 15.13/15.22 [267]~P1(x2673)+~P15(x2671)+~P15(x2672)+~P11(x2672,x2673)+P11(f5(x2671,x2672),x2673)
% 15.13/15.22 [268]~P1(x2683)+~P15(x2682)+~P15(x2681)+~P11(x2681,x2683)+P11(f5(x2681,x2682),x2683)
% 15.13/15.22 [269]~P15(x2692)+~P15(x2693)+~P15(x2691)+~P6(x2691,x2693)+P6(f5(x2691,x2692),x2693)
% 15.13/15.22 [270]~P15(x2701)+~P15(x2703)+~P15(x2702)+~P7(x2702,x2703)+P7(f5(x2701,x2702),x2703)
% 15.13/15.22 [271]~P1(x2712)+~P15(x2711)+~P19(x2711)+~P8(x2712,f53(x2711))+E(a46,x2711)+P19(f4(x2712,x2711))
% 15.13/15.22 [272]~P1(x2722)+~P15(x2721)+~P18(x2721)+~P12(x2722,f53(x2721))+E(a46,x2721)+P18(f4(x2722,x2721))
% 15.13/15.22 [256]~P15(x2562)+~P15(x2561)+~P6(x2563,x2562)+~P6(x2561,x2563)+P6(x2561,x2562)+~P15(x2563)
% 15.13/15.22 [257]~P15(x2572)+~P15(x2571)+~P7(x2573,x2572)+~P7(x2571,x2573)+P7(x2571,x2572)+~P15(x2573)
% 15.13/15.22 [258]~P15(x2582)+~P15(x2581)+~P14(x2583,x2582)+~P14(x2581,x2583)+P14(x2581,x2582)+~P15(x2583)
% 15.13/15.22 [259]~P1(x2592)+~P1(x2591)+~P8(x2593,x2592)+~P8(x2591,x2593)+P8(x2591,x2592)+~P1(x2593)
% 15.13/15.22 [260]~P1(x2602)+~P1(x2601)+~P8(x2601,x2603)+~P12(x2603,x2602)+P12(x2601,x2602)+~P1(x2603)
% 15.13/15.22 [261]~P1(x2612)+~P1(x2611)+~P12(x2613,x2612)+~P12(x2611,x2613)+P12(x2611,x2612)+~P1(x2613)
% 15.13/15.22 [262]~P1(x2622)+~P1(x2621)+~P9(x2623,x2622)+~P9(x2621,x2623)+P9(x2621,x2622)+~P1(x2623)
% 15.13/15.22 [263]~P1(x2632)+~P1(x2631)+~P10(x2633,x2632)+~P10(x2631,x2633)+P10(x2631,x2632)+~P1(x2633)
% 15.13/15.22 [275]~P1(x2752)+~P1(x2751)+~P15(x2753)+E(x2751,x2752)+P11(x2753,x2752)+~P11(f4(x2751,x2753),x2752)
% 15.13/15.22 [278]~P1(x2782)+~P15(x2781)+~P15(x2783)+P11(x2781,x2782)+P11(x2783,x2782)+~P11(f5(x2783,x2781),x2782)
% 15.13/15.22 [252]~P1(x2524)+~P1(x2523)+~P15(x2522)+~P15(x2521)+E(x2521,x2522)+~E(f4(x2523,x2522),f4(x2524,x2521))
% 15.13/15.22 [253]~P1(x2532)+~P1(x2531)+~P15(x2534)+~P15(x2533)+E(x2531,x2532)+~E(f4(x2531,x2533),f4(x2532,x2534))
% 15.13/15.22 [280]~P1(x2802)+~P1(x2801)+E(x2801,x2802)+~P15(x2803)+~P15(x2804)+~P6(f4(x2801,x2804),f4(x2802,x2803))
% 15.13/15.22 [282]~P15(x2822)+~P15(x2821)+P6(x2821,x2822)+~P1(x2823)+~P1(x2824)+~P6(f4(x2824,x2821),f4(x2823,x2822))
% 15.13/15.22 [276]~P1(x2762)+~P15(x2761)+~P15(x2764)+~P15(x2763)+P11(x2761,x2762)+~E(f5(x2763,f4(x2762,x2764)),x2761)
% 15.13/15.22 [277]~P15(x2771)+~P15(x2772)+~P15(x2774)+~P15(x2773)+P14(x2771,x2772)+~E(f5(f5(x2773,x2772),x2774),x2771)
% 15.13/15.22 [281]~P15(x2813)+~P15(x2811)+~P15(x2814)+~P15(x2812)+~P14(x2812,x2814)+P14(f5(f5(x2811,x2812),x2813),x2814)
% 15.13/15.22 [209]~P15(x2092)+~P15(x2091)+E(x2091,x2092)+E(a46,x2092)+E(a46,x2091)+~E(f53(x2091),f53(x2092))+~E(f59(x2091),f59(x2092))
% 15.13/15.22 [279]~E(x2791,x2793)+~P1(x2793)+~P1(x2791)+~P15(x2794)+~P15(x2792)+~P6(x2792,x2794)+P6(f4(x2791,x2792),f4(x2793,x2794))
% 15.13/15.22 [286]~P1(x2862)+~P1(x2861)+~P15(x2864)+~P15(x2863)+~P15(x2865)+~P4(x2865)+E(x2861,x2862)+~E(f5(x2863,f4(x2861,f4(x2862,x2864))),x2865)
% 15.13/15.22 [293]~P1(x2932)+~P1(x2931)+~P15(x2935)+~P15(x2934)+~P15(x2933)+~P15(x2936)+~P3(x2936)+~E(x2931,x2932)+~E(f5(f5(x2933,f4(x2931,x2934)),f4(x2932,x2935)),x2936)
% 15.13/15.22 [294]~P1(x2942)+~P1(x2941)+~P15(x2945)+~P15(x2944)+~P15(x2943)+~P15(x2946)+~P19(x2946)+P8(x2941,x2942)+~E(f5(f5(x2943,f4(x2941,x2944)),f4(x2942,x2945)),x2946)
% 15.13/15.22 [295]~P1(x2952)+~P1(x2951)+~P15(x2955)+~P15(x2954)+~P15(x2953)+~P15(x2956)+~P18(x2956)+P12(x2951,x2952)+~E(f5(f5(x2953,f4(x2951,x2954)),f4(x2952,x2955)),x2956)
% 15.13/15.22 [296]P8(x2962,x2961)+~P1(x2961)+~P1(x2962)+~P15(x2965)+~P15(x2964)+~P15(x2963)+~P15(x2966)+~P16(x2966)+P8(x2961,x2962)+~E(f5(f5(x2963,f4(x2962,x2964)),f4(x2961,x2965)),x2966)
% 15.13/15.22 [297]P12(x2972,x2971)+~P1(x2971)+~P1(x2972)+~P15(x2975)+~P15(x2974)+~P15(x2973)+~P15(x2976)+~P17(x2976)+P12(x2971,x2972)+~E(f5(f5(x2973,f4(x2972,x2974)),f4(x2971,x2975)),x2976)
% 15.13/15.22 [298]~P1(x2984)+~P1(x2982)+~P15(x2985)+~P15(x2983)+~P15(x2981)+~P15(x2986)+~P2(x2986)+~P8(x2984,x2982)+~P8(x2982,x2984)+~E(f5(f5(x2981,f4(x2982,x2983)),f4(x2984,x2985)),x2986)
% 15.13/15.22 %EqnAxiom
% 15.13/15.22 [1]E(x11,x11)
% 15.13/15.22 [2]E(x22,x21)+~E(x21,x22)
% 15.13/15.22 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 15.13/15.22 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 15.13/15.22 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 15.13/15.22 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 15.13/15.22 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 15.13/15.22 [8]~E(x81,x82)+E(f53(x81),f53(x82))
% 15.13/15.22 [9]~E(x91,x92)+E(f27(x91),f27(x92))
% 15.13/15.22 [10]~E(x101,x102)+E(f59(x101),f59(x102))
% 15.13/15.22 [11]~E(x111,x112)+E(f45(x111),f45(x112))
% 15.13/15.22 [12]~E(x121,x122)+E(f31(x121),f31(x122))
% 15.13/15.22 [13]~E(x131,x132)+E(f28(x131),f28(x132))
% 15.13/15.22 [14]~E(x141,x142)+E(f48(x141,x143),f48(x142,x143))
% 15.13/15.22 [15]~E(x151,x152)+E(f48(x153,x151),f48(x153,x152))
% 15.13/15.22 [16]~E(x161,x162)+E(f41(x161,x163),f41(x162,x163))
% 15.13/15.22 [17]~E(x171,x172)+E(f41(x173,x171),f41(x173,x172))
% 15.13/15.22 [18]~E(x181,x182)+E(f29(x181),f29(x182))
% 15.13/15.22 [19]~E(x191,x192)+E(f25(x191),f25(x192))
% 15.13/15.22 [20]~E(x201,x202)+E(f30(x201),f30(x202))
% 15.13/15.22 [21]~E(x211,x212)+E(f36(x211),f36(x212))
% 15.13/15.22 [22]~E(x221,x222)+E(f7(x221),f7(x222))
% 15.13/15.22 [23]~E(x231,x232)+E(f10(x231),f10(x232))
% 15.13/15.22 [24]~E(x241,x242)+E(f6(x241),f6(x242))
% 15.13/15.22 [25]~E(x251,x252)+E(f11(x251),f11(x252))
% 15.13/15.22 [26]~E(x261,x262)+E(f8(x261),f8(x262))
% 15.13/15.22 [27]~E(x271,x272)+E(f9(x271),f9(x272))
% 15.13/15.22 [28]~E(x281,x282)+E(f37(x281),f37(x282))
% 15.13/15.22 [29]~E(x291,x292)+E(f18(x291),f18(x292))
% 15.13/15.22 [30]~E(x301,x302)+E(f12(x301),f12(x302))
% 15.13/15.22 [31]~E(x311,x312)+E(f13(x311),f13(x312))
% 15.13/15.22 [32]~E(x321,x322)+E(f14(x321),f14(x322))
% 15.13/15.22 [33]~E(x331,x332)+E(f15(x331),f15(x332))
% 15.13/15.22 [34]~E(x341,x342)+E(f17(x341),f17(x342))
% 15.13/15.22 [35]~E(x351,x352)+E(f55(x351,x353),f55(x352,x353))
% 15.13/15.22 [36]~E(x361,x362)+E(f55(x363,x361),f55(x363,x362))
% 15.13/15.22 [37]~E(x371,x372)+E(f19(x371),f19(x372))
% 15.13/15.22 [38]~E(x381,x382)+E(f20(x381),f20(x382))
% 15.13/15.22 [39]~E(x391,x392)+E(f21(x391),f21(x392))
% 15.13/15.22 [40]~E(x401,x402)+E(f22(x401),f22(x402))
% 15.13/15.22 [41]~E(x411,x412)+E(f23(x411),f23(x412))
% 15.13/15.22 [42]~E(x421,x422)+E(f24(x421),f24(x422))
% 15.13/15.22 [43]~E(x431,x432)+E(f56(x431,x433),f56(x432,x433))
% 15.13/15.22 [44]~E(x441,x442)+E(f56(x443,x441),f56(x443,x442))
% 15.13/15.22 [45]~E(x451,x452)+E(f26(x451),f26(x452))
% 15.13/15.22 [46]~E(x461,x462)+E(f34(x461),f34(x462))
% 15.13/15.22 [47]~E(x471,x472)+E(f32(x471),f32(x472))
% 15.13/15.22 [48]~E(x481,x482)+E(f33(x481),f33(x482))
% 15.13/15.22 [49]~E(x491,x492)+E(f58(x491,x493),f58(x492,x493))
% 15.13/15.22 [50]~E(x501,x502)+E(f58(x503,x501),f58(x503,x502))
% 15.13/15.22 [51]~E(x511,x512)+E(f35(x511),f35(x512))
% 15.13/15.22 [52]~E(x521,x522)+E(f43(x521),f43(x522))
% 15.13/15.22 [53]~E(x531,x532)+E(f38(x531),f38(x532))
% 15.13/15.22 [54]~E(x541,x542)+E(f57(x541,x543),f57(x542,x543))
% 15.13/15.22 [55]~E(x551,x552)+E(f57(x553,x551),f57(x553,x552))
% 15.13/15.22 [56]~E(x561,x562)+E(f42(x561),f42(x562))
% 15.13/15.22 [57]~E(x571,x572)+E(f39(x571),f39(x572))
% 15.13/15.22 [58]~E(x581,x582)+E(f40(x581),f40(x582))
% 15.13/15.22 [59]~E(x591,x592)+E(f54(x591),f54(x592))
% 15.13/15.22 [60]~E(x601,x602)+E(f44(x601),f44(x602))
% 15.13/15.22 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 15.13/15.22 [62]P8(x622,x623)+~E(x621,x622)+~P8(x621,x623)
% 15.13/15.22 [63]P8(x633,x632)+~E(x631,x632)+~P8(x633,x631)
% 15.13/15.22 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 15.13/15.22 [65]P11(x652,x653)+~E(x651,x652)+~P11(x651,x653)
% 15.13/15.22 [66]P11(x663,x662)+~E(x661,x662)+~P11(x663,x661)
% 15.13/15.22 [67]~P2(x671)+P2(x672)+~E(x671,x672)
% 15.13/15.22 [68]~P18(x681)+P18(x682)+~E(x681,x682)
% 15.13/15.22 [69]P12(x692,x693)+~E(x691,x692)+~P12(x691,x693)
% 15.13/15.22 [70]P12(x703,x702)+~E(x701,x702)+~P12(x703,x701)
% 15.13/15.22 [71]P7(x712,x713)+~E(x711,x712)+~P7(x711,x713)
% 15.13/15.22 [72]P7(x723,x722)+~E(x721,x722)+~P7(x723,x721)
% 15.13/15.22 [73]~P16(x731)+P16(x732)+~E(x731,x732)
% 15.13/15.22 [74]~P17(x741)+P17(x742)+~E(x741,x742)
% 15.13/15.22 [75]~P19(x751)+P19(x752)+~E(x751,x752)
% 15.13/15.22 [76]~P3(x761)+P3(x762)+~E(x761,x762)
% 15.13/15.22 [77]P6(x772,x773)+~E(x771,x772)+~P6(x771,x773)
% 15.13/15.22 [78]P6(x783,x782)+~E(x781,x782)+~P6(x783,x781)
% 15.13/15.22 [79]~P4(x791)+P4(x792)+~E(x791,x792)
% 15.13/15.22 [80]~P5(x801)+P5(x802)+~E(x801,x802)
% 15.13/15.22 [81]P9(x812,x813)+~E(x811,x812)+~P9(x811,x813)
% 15.13/15.22 [82]P9(x823,x822)+~E(x821,x822)+~P9(x823,x821)
% 15.13/15.22 [83]P10(x832,x833)+~E(x831,x832)+~P10(x831,x833)
% 15.13/15.22 [84]P10(x843,x842)+~E(x841,x842)+~P10(x843,x841)
% 15.13/15.22 [85]P14(x852,x853)+~E(x851,x852)+~P14(x851,x853)
% 15.13/15.22 [86]P14(x863,x862)+~E(x861,x862)+~P14(x863,x861)
% 15.13/15.22 [87]P13(x872,x873)+~E(x871,x872)+~P13(x871,x873)
% 15.13/15.22 [88]P13(x883,x882)+~E(x881,x882)+~P13(x883,x881)
% 15.13/15.22
% 15.13/15.22 %-------------------------------------------
% 15.13/15.22 cnf(303,plain,
% 15.13/15.22 (~P13(x3031,x3031)+~P1(x3031)+~P1(x3031)),
% 15.13/15.22 inference(equality_inference,[],[202])).
% 15.13/15.22 cnf(305,plain,
% 15.13/15.22 (~P13(x3051,x3051)+~P15(x3051)+~P15(x3051)),
% 15.13/15.22 inference(equality_inference,[],[204])).
% 15.13/15.22 cnf(308,plain,
% 15.13/15.22 (P6(f5(x3081,x3082),x3081)+~P15(f5(x3081,x3082))+~P15(x3081)+~P15(x3082)),
% 15.13/15.22 inference(equality_inference,[],[232])).
% 15.13/15.22 cnf(309,plain,
% 15.13/15.22 (P7(f5(x3091,x3092),x3092)+~P15(f5(x3091,x3092))+~P15(x3092)+~P15(x3091)),
% 15.13/15.22 inference(equality_inference,[],[233])).
% 15.13/15.22 cnf(315,plain,
% 15.13/15.22 (P11(f5(x3151,f4(x3152,x3153)),x3152)+~P1(x3152)+~P15(f5(x3151,f4(x3152,x3153)))+~P15(x3153)+~P15(x3151)),
% 15.13/15.22 inference(equality_inference,[],[276])).
% 15.13/15.22 cnf(316,plain,
% 15.13/15.22 (P14(f5(f5(x3161,x3162),x3163),x3162)+~P15(f5(f5(x3161,x3162),x3163))+~P15(x3162)+~P15(x3163)+~P15(x3161)),
% 15.13/15.22 inference(equality_inference,[],[277])).
% 15.13/15.22 cnf(317,plain,
% 15.13/15.22 (~P1(x3171)+~P1(x3171)+~P6(x3172,x3173)+~P15(x3173)+~P15(x3172)+P6(f4(x3171,x3172),f4(x3171,x3173))),
% 15.13/15.22 inference(equality_inference,[],[279])).
% 15.13/15.22 cnf(324,plain,
% 15.13/15.22 (E(a46,a1)),
% 15.13/15.22 inference(scs_inference,[],[89,2])).
% 15.13/15.22 cnf(331,plain,
% 15.13/15.22 (~E(a2,a1)),
% 15.13/15.22 inference(scs_inference,[],[89,95,107,92,2,179,303,305,3])).
% 15.13/15.22 cnf(332,plain,
% 15.13/15.22 (P2(a1)),
% 15.13/15.22 inference(scs_inference,[],[89,95,107,92,99,2,179,303,305,3,67])).
% 15.13/15.22 cnf(333,plain,
% 15.13/15.22 (P18(a1)),
% 15.13/15.22 inference(scs_inference,[],[89,95,107,92,99,103,2,179,303,305,3,67,68])).
% 15.13/15.22 cnf(334,plain,
% 15.13/15.22 (P16(a1)),
% 15.13/15.22 inference(scs_inference,[],[89,95,107,92,99,100,103,2,179,303,305,3,67,68,73])).
% 15.13/15.22 cnf(335,plain,
% 15.13/15.22 (P17(a1)),
% 15.13/15.22 inference(scs_inference,[],[89,95,107,92,99,100,101,103,2,179,303,305,3,67,68,73,74])).
% 15.13/15.22 cnf(336,plain,
% 15.13/15.22 (P19(a1)),
% 15.13/15.22 inference(scs_inference,[],[89,95,107,92,99,100,101,102,103,2,179,303,305,3,67,68,73,74,75])).
% 15.13/15.22 cnf(337,plain,
% 15.13/15.22 (P3(a1)),
% 15.13/15.22 inference(scs_inference,[],[89,95,107,92,99,100,101,102,103,104,2,179,303,305,3,67,68,73,74,75,76])).
% 15.13/15.22 cnf(338,plain,
% 15.13/15.22 (P4(a1)),
% 15.13/15.22 inference(scs_inference,[],[89,95,107,92,99,100,101,102,103,104,105,2,179,303,305,3,67,68,73,74,75,76,79])).
% 15.13/15.22 cnf(339,plain,
% 15.13/15.22 (~P5(a1)),
% 15.13/15.22 inference(scs_inference,[],[89,95,107,92,99,100,101,102,103,104,105,108,2,179,303,305,3,67,68,73,74,75,76,79,80])).
% 15.13/15.22 cnf(340,plain,
% 15.13/15.22 (P6(a46,a1)),
% 15.13/15.22 inference(scs_inference,[],[89,95,96,107,92,99,100,101,102,103,104,105,108,2,179,303,305,3,67,68,73,74,75,76,79,80,170])).
% 15.13/15.22 cnf(342,plain,
% 15.13/15.22 (P7(a46,a1)),
% 15.13/15.22 inference(scs_inference,[],[89,95,96,107,92,99,100,101,102,103,104,105,108,2,179,303,305,3,67,68,73,74,75,76,79,80,170,171])).
% 15.13/15.22 cnf(344,plain,
% 15.13/15.22 (P14(a46,a1)),
% 15.13/15.22 inference(scs_inference,[],[89,95,96,107,92,99,100,101,102,103,104,105,108,2,179,303,305,3,67,68,73,74,75,76,79,80,170,171,172])).
% 15.13/15.22 cnf(346,plain,
% 15.13/15.22 (P14(a1,a1)),
% 15.13/15.22 inference(scs_inference,[],[89,95,96,107,92,99,100,101,102,103,104,105,108,2,179,303,305,3,67,68,73,74,75,76,79,80,170,171,172,85])).
% 15.13/15.22 cnf(350,plain,
% 15.13/15.22 (P7(a46,a46)),
% 15.13/15.22 inference(scs_inference,[],[89,95,96,107,92,99,100,101,102,103,104,105,108,2,179,303,305,3,67,68,73,74,75,76,79,80,170,171,172,85,86,61,71,72])).
% 15.13/15.22 cnf(351,plain,
% 15.13/15.22 (P6(a1,a1)),
% 15.13/15.22 inference(scs_inference,[],[89,95,96,107,92,99,100,101,102,103,104,105,108,2,179,303,305,3,67,68,73,74,75,76,79,80,170,171,172,85,86,61,71,72,77])).
% 15.13/15.22 cnf(352,plain,
% 15.13/15.22 (P6(a46,a46)),
% 15.13/15.22 inference(scs_inference,[],[89,95,96,107,92,99,100,101,102,103,104,105,108,2,179,303,305,3,67,68,73,74,75,76,79,80,170,171,172,85,86,61,71,72,77,78])).
% 15.13/15.22 cnf(353,plain,
% 15.13/15.22 (P6(f4(a3,a1),f4(a3,a1))),
% 15.13/15.22 inference(scs_inference,[],[89,95,96,107,92,99,100,101,102,103,104,105,108,2,179,303,305,3,67,68,73,74,75,76,79,80,170,171,172,85,86,61,71,72,77,78,317])).
% 15.13/15.22 cnf(363,plain,
% 15.13/15.22 (P6(a46,a2)+~P6(a1,a2)),
% 15.13/15.22 inference(scs_inference,[],[89,95,96,107,92,94,99,100,101,102,103,104,105,108,2,179,303,305,3,67,68,73,74,75,76,79,80,170,171,172,85,86,61,71,72,77,78,317,308,309,315,316,256])).
% 15.13/15.22 cnf(365,plain,
% 15.13/15.22 (E(a47,a2)),
% 15.13/15.22 inference(scs_inference,[],[90,2])).
% 15.13/15.22 cnf(373,plain,
% 15.13/15.22 (P6(a1,a46)),
% 15.13/15.22 inference(scs_inference,[],[90,91,324,352,333,334,337,93,2,179,73,76,68,303,77])).
% 15.13/15.22 cnf(378,plain,
% 15.13/15.22 (P7(a46,a49)),
% 15.13/15.22 inference(scs_inference,[],[90,91,97,98,324,352,332,333,334,337,93,2,179,73,76,68,303,77,305,3,67,171])).
% 15.13/15.22 cnf(380,plain,
% 15.13/15.22 (P14(a1,a46)),
% 15.13/15.22 inference(scs_inference,[],[89,90,91,97,98,324,352,332,333,334,337,93,346,2,179,73,76,68,303,77,305,3,67,171,86])).
% 15.13/15.22 cnf(383,plain,
% 15.13/15.22 (P7(a1,a46)),
% 15.13/15.22 inference(scs_inference,[],[89,90,91,97,98,324,350,352,332,333,334,335,336,337,93,346,2,179,73,76,68,303,77,305,3,67,171,86,75,74,71])).
% 15.13/15.22 cnf(387,plain,
% 15.13/15.22 (P14(a46,a49)),
% 15.13/15.22 inference(scs_inference,[],[89,90,91,97,98,96,324,350,351,352,332,333,334,335,336,337,338,93,346,2,179,73,76,68,303,77,305,3,67,171,86,75,74,71,79,317,172])).
% 15.13/15.22 cnf(389,plain,
% 15.13/15.22 (P6(a46,a49)),
% 15.13/15.22 inference(scs_inference,[],[89,90,91,97,98,96,324,350,351,352,332,333,334,335,336,337,338,93,346,2,179,73,76,68,303,77,305,3,67,171,86,75,74,71,79,317,172,170])).
% 15.13/15.22 cnf(405,plain,
% 15.13/15.22 (P6(a1,a49)),
% 15.13/15.22 inference(scs_inference,[],[91,98,324,389,2,305,77])).
% 15.13/15.22 cnf(406,plain,
% 15.13/15.22 (~P5(a49)),
% 15.13/15.22 inference(scs_inference,[],[91,98,324,339,389,2,305,77,80])).
% 15.13/15.22 cnf(407,plain,
% 15.13/15.22 (~E(a2,a49)),
% 15.13/15.22 inference(scs_inference,[],[91,98,324,331,339,389,2,305,77,80,3])).
% 15.13/15.22 cnf(408,plain,
% 15.13/15.22 (P7(a1,a49)),
% 15.13/15.22 inference(scs_inference,[],[91,98,324,331,339,378,389,2,305,77,80,3,71])).
% 15.13/15.22 cnf(492,plain,
% 15.13/15.22 (P6(f4(a16,a2),f4(a16,a2))+~P6(a2,a2)),
% 15.13/15.22 inference(scs_inference,[],[95,93,317])).
% 15.13/15.22 cnf(495,plain,
% 15.13/15.22 (P6(f4(a3,a2),f4(a3,a2))+~P6(a2,a2)),
% 15.13/15.22 inference(scs_inference,[],[95,92,317])).
% 15.13/15.22 cnf(502,plain,
% 15.13/15.22 (P6(f4(a3,a47),f4(a3,a47))+~P6(a47,a47)),
% 15.13/15.22 inference(scs_inference,[],[97,92,317])).
% 15.13/15.22 cnf(533,plain,
% 15.13/15.22 (~P14(a49,a2)+E(a46,a2)),
% 15.13/15.22 inference(scs_inference,[],[95,98,387,94,258,178])).
% 15.13/15.22 cnf(548,plain,
% 15.13/15.22 (~P14(a1,a2)+E(a46,a2)),
% 15.13/15.22 inference(scs_inference,[],[95,96,94,344,258,178])).
% 15.13/15.22 cnf(586,plain,
% 15.13/15.22 (P6(a1,a2)+~P6(a49,a2)),
% 15.13/15.22 inference(scs_inference,[],[95,96,98,405,256])).
% 15.13/15.22 cnf(607,plain,
% 15.13/15.22 (~P6(a46,a2)+P14(a46,a2)),
% 15.13/15.22 inference(scs_inference,[],[95,96,373,94,256,363,176,172])).
% 15.13/15.22 cnf(613,plain,
% 15.13/15.22 (P14(a1,a2)+~P6(a46,a2)),
% 15.13/15.22 inference(scs_inference,[],[89,90,95,96,324,373,94,256,363,176,172,171,3,86,85])).
% 15.13/15.22 cnf(823,plain,
% 15.13/15.22 (P14(a49,a46)),
% 15.13/15.22 inference(scs_inference,[],[91,383,380,71,85])).
% 15.13/15.22 cnf(824,plain,
% 15.13/15.22 (P6(a49,a46)),
% 15.13/15.22 inference(scs_inference,[],[91,383,373,380,71,85,77])).
% 15.13/15.22 cnf(825,plain,
% 15.13/15.22 (P6(a49,a1)),
% 15.13/15.22 inference(scs_inference,[],[91,383,324,373,380,71,85,77,78])).
% 15.13/15.23 cnf(834,plain,
% 15.13/15.23 (P6(a49,a49)),
% 15.13/15.23 inference(scs_inference,[],[91,405,77])).
% 15.13/15.23 cnf(929,plain,
% 15.13/15.23 (P14(a49,a2)+~P14(a46,a2)),
% 15.13/15.23 inference(scs_inference,[],[95,98,94,823,258])).
% 15.13/15.23 cnf(951,plain,
% 15.13/15.23 (~P6(a2,a49)+~P6(a46,a2)),
% 15.13/15.23 inference(scs_inference,[],[90,95,98,353,824,407,94,256,78,77,309,308,236])).
% 15.13/15.23 cnf(958,plain,
% 15.13/15.23 (~P6(a2,a49)+~P6(a1,a2)),
% 15.13/15.23 inference(scs_inference,[],[90,95,96,98,353,825,407,256,78,77,309,308,236])).
% 15.13/15.23 cnf(1038,plain,
% 15.13/15.23 (P1(a50)),
% 15.13/15.23 inference(scs_inference,[],[107,90,109,3])).
% 15.13/15.23 cnf(1052,plain,
% 15.13/15.23 (P6(f4(a50,a49),f4(a50,a49))),
% 15.13/15.23 inference(scs_inference,[],[98,834,1038,317])).
% 15.13/15.23 cnf(1059,plain,
% 15.13/15.23 (P6(f4(a50,a46),f4(a50,a46))),
% 15.13/15.23 inference(scs_inference,[],[352,1038,94,317])).
% 15.13/15.23 cnf(1062,plain,
% 15.13/15.23 (P6(a49,a2)+~E(f4(a50,a49),f4(a50,a2))),
% 15.13/15.23 inference(scs_inference,[],[95,98,352,1038,1052,94,317,78,282])).
% 15.13/15.23 cnf(1071,plain,
% 15.13/15.23 (~P6(a46,a2)+~E(f4(a50,a49),f4(a50,a2))),
% 15.13/15.23 inference(scs_inference,[],[95,98,1038,1052,77,282,951])).
% 15.13/15.23 cnf(1075,plain,
% 15.13/15.23 (P6(f4(a50,a46),x10751)+~E(f4(a50,a46),x10751)),
% 15.13/15.23 inference(scs_inference,[],[1059,78])).
% 15.13/15.23 cnf(1084,plain,
% 15.13/15.23 (~E(f4(a50,a46),f4(a50,a2))+E(a46,a2)),
% 15.13/15.23 inference(scs_inference,[],[95,96,373,1038,1059,94,78,282,256,1071,5,607,613,176])).
% 15.13/15.23 cnf(1090,plain,
% 15.13/15.23 (P6(x10901,f4(a50,a46))+~E(f4(a50,a46),x10901)),
% 15.13/15.23 inference(scs_inference,[],[1059,77])).
% 15.13/15.23 cnf(1114,plain,
% 15.13/15.23 (P15(a51)),
% 15.13/15.23 inference(scs_inference,[],[107,90,110,3])).
% 15.13/15.23 cnf(1140,plain,
% 15.13/15.23 (P15(a52)),
% 15.13/15.23 inference(scs_inference,[],[107,90,111,3])).
% 15.13/15.23 cnf(1166,plain,
% 15.13/15.23 (P6(a47,a46)),
% 15.13/15.23 inference(scs_inference,[],[90,95,125,64])).
% 15.13/15.23 cnf(1168,plain,
% 15.13/15.23 (P6(a2,a46)),
% 15.13/15.23 inference(scs_inference,[],[365,324,1166,78,77])).
% 15.13/15.23 cnf(1171,plain,
% 15.13/15.23 (E(a46,a47)+~P6(a1,a47)),
% 15.13/15.23 inference(scs_inference,[],[97,96,365,324,94,340,1166,78,77,236,256])).
% 15.13/15.23 cnf(1258,plain,
% 15.13/15.23 (P6(f4(a16,a2),f4(a16,a2))),
% 15.13/15.23 inference(scs_inference,[],[95,131,492])).
% 15.13/15.23 cnf(1259,plain,
% 15.13/15.23 (P6(a2,a2)),
% 15.13/15.23 inference(scs_inference,[],[95,1258,93,282])).
% 15.13/15.23 cnf(1261,plain,
% 15.13/15.23 (P6(f4(a50,a2),f4(a50,a2))),
% 15.13/15.23 inference(scs_inference,[],[95,1038,1258,93,282,317])).
% 15.13/15.23 cnf(1264,plain,
% 15.13/15.23 (P6(a2,a47)),
% 15.13/15.23 inference(scs_inference,[],[90,95,1038,1258,93,282,317,77,78])).
% 15.13/15.23 cnf(1270,plain,
% 15.13/15.23 (P6(f4(a3,a2),f4(a3,a2))),
% 15.13/15.23 inference(scs_inference,[],[1259,495])).
% 15.13/15.23 cnf(1272,plain,
% 15.13/15.23 (P6(a47,a2)),
% 15.13/15.23 inference(scs_inference,[],[90,365,1264,77,78])).
% 15.13/15.23 cnf(1273,plain,
% 15.13/15.23 (P6(f4(a50,a47),f4(a50,a47))),
% 15.13/15.23 inference(scs_inference,[],[90,97,365,1038,1264,77,78,317])).
% 15.13/15.23 cnf(1275,plain,
% 15.13/15.23 (P6(f4(a3,a47),f4(a3,a47))),
% 15.13/15.23 inference(scs_inference,[],[90,97,365,1038,1264,77,78,317,502])).
% 15.13/15.23 cnf(1280,plain,
% 15.13/15.23 (P6(a1,a2)+~E(f4(a50,a2),f4(a50,a1))),
% 15.13/15.23 inference(scs_inference,[],[96,95,1038,1261,77,282])).
% 15.13/15.23 cnf(1287,plain,
% 15.13/15.23 (P6(a1,a2)+~E(f4(a3,a2),f4(a50,a1))),
% 15.13/15.23 inference(scs_inference,[],[96,95,1038,1270,92,77,282])).
% 15.13/15.23 cnf(1301,plain,
% 15.13/15.23 (E(a46,a47)+~E(f4(a3,a47),f4(a50,a1))),
% 15.13/15.23 inference(scs_inference,[],[96,97,1038,1275,92,77,282,280,1171])).
% 15.13/15.23 cnf(1313,plain,
% 15.13/15.23 (E(a46,a47)+~E(f4(a50,a47),f4(a50,a1))),
% 15.13/15.23 inference(scs_inference,[],[96,97,1038,1273,77,282,1171])).
% 15.13/15.23 cnf(1494,plain,
% 15.13/15.23 (P14(a46,a47)+~P14(a1,a47)),
% 15.13/15.23 inference(scs_inference,[],[97,96,344,94,258])).
% 15.13/15.23 cnf(1496,plain,
% 15.13/15.23 (~P14(a1,a47)+E(a46,a47)),
% 15.13/15.23 inference(scs_inference,[],[97,96,344,94,258,178])).
% 15.13/15.23 cnf(1524,plain,
% 15.13/15.23 (P14(a46,a47)+~P14(a49,a47)),
% 15.13/15.23 inference(scs_inference,[],[97,98,387,94,258])).
% 15.13/15.23 cnf(1546,plain,
% 15.13/15.23 (E(a47,a46)+~P14(a46,a47)),
% 15.13/15.23 inference(scs_inference,[],[97,96,380,94,258,1496,2])).
% 15.13/15.23 cnf(1579,plain,
% 15.13/15.23 (P6(a46,a2)+~P6(a1,a47)),
% 15.13/15.23 inference(scs_inference,[],[97,96,365,94,340,256,78])).
% 15.13/15.23 cnf(1586,plain,
% 15.13/15.23 (~P7(a46,a47)+P14(a46,a47)),
% 15.13/15.23 inference(scs_inference,[],[97,89,350,94,257,177,3,172])).
% 15.13/15.23 cnf(1600,plain,
% 15.13/15.23 (P6(a46,a2)+~P6(a49,a47)),
% 15.13/15.23 inference(scs_inference,[],[97,98,365,94,389,256,78])).
% 15.13/15.23 cnf(1606,plain,
% 15.13/15.23 (P7(a46,a47)+~P7(a1,a47)),
% 15.13/15.23 inference(scs_inference,[],[97,96,342,94,257])).
% 15.13/15.23 cnf(1731,plain,
% 15.13/15.23 (P6(a2,a49)),
% 15.13/15.23 inference(scs_inference,[],[98,95,1168,94,389,256])).
% 15.13/15.23 cnf(1734,plain,
% 15.13/15.23 (~P6(a1,a2)),
% 15.13/15.23 inference(scs_inference,[],[98,95,1168,94,389,256,951,958])).
% 15.13/15.23 cnf(1735,plain,
% 15.13/15.23 (~E(a47,a46)),
% 15.13/15.23 inference(scs_inference,[],[98,95,1168,1272,94,389,256,951,958,77])).
% 15.13/15.23 cnf(1737,plain,
% 15.13/15.23 (~E(a46,a47)),
% 15.13/15.23 inference(scs_inference,[],[98,95,373,1168,1272,365,94,389,256,951,958,77,78,3])).
% 15.13/15.23 cnf(1752,plain,
% 15.13/15.23 (~P6(a49,a2)),
% 15.13/15.23 inference(scs_inference,[],[98,95,97,373,1038,1168,1272,365,94,389,1166,256,951,958,77,78,3,315,236,1084,1280,1287,1301,1313,1546,1579,1600,533,548,586])).
% 15.13/15.23 cnf(1755,plain,
% 15.13/15.23 (~P14(a49,a47)),
% 15.13/15.23 inference(scs_inference,[],[98,95,97,373,1038,1168,1272,365,94,389,1166,256,951,958,77,78,3,315,236,1084,1280,1287,1301,1313,1546,1579,1600,533,548,586,929,1494,1524])).
% 15.13/15.23 cnf(1757,plain,
% 15.13/15.23 (~P7(a1,a47)),
% 15.13/15.23 inference(scs_inference,[],[98,95,97,373,1038,1168,1272,365,94,389,1166,256,951,958,77,78,3,315,236,1084,1280,1287,1301,1313,1546,1579,1600,533,548,586,929,1494,1524,1586,1606])).
% 15.13/15.23 cnf(1763,plain,
% 15.13/15.23 (E(f4(a50,a46),a47)),
% 15.13/15.23 inference(scs_inference,[],[1735,115])).
% 15.13/15.23 cnf(1764,plain,
% 15.13/15.23 (E(f5(f5(a51,a47),a52),a49)),
% 15.13/15.23 inference(scs_inference,[],[1735,182])).
% 15.13/15.23 cnf(1777,plain,
% 15.13/15.23 (~E(f4(a50,a49),f4(a50,a2))),
% 15.13/15.23 inference(scs_inference,[],[1752,1062])).
% 15.13/15.23 cnf(1815,plain,
% 15.13/15.23 ($false),
% 15.13/15.23 inference(scs_inference,[],[98,1114,1140,97,90,1763,1764,1038,351,408,1777,1737,406,1734,1755,1757,1731,1075,1090,2,5,64,77,80,72,78,3,201,277]),
% 15.13/15.23 ['proof']).
% 15.13/15.23 % SZS output end Proof
% 15.13/15.23 % Total time :14.540000s
%------------------------------------------------------------------------------