%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC023+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 : n019.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 16:13:37 EDT 2024
% Result : Theorem 0.55s 0.76s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC023+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n019.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 03:28:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.55/0.57 start to proof:theBenchmark
% 0.55/0.76 %-------------------------------------------
% 0.55/0.76 % File :CSE---1.7
% 0.55/0.76 % Problem :theBenchmark
% 0.55/0.76 % Transform :cnf
% 0.55/0.76 % Format :tptp:raw
% 0.55/0.76 % Command :java -jar mcs_scs.jar %d %s
% 0.55/0.76
% 0.55/0.76 % Result :Theorem 0.070000s
% 0.55/0.76 % Output :CNFRefutation 0.070000s
% 0.55/0.76 %-------------------------------------------
% 0.55/0.76 %--------------------------------------------------------------------------
% 0.55/0.76 % File : SWC023+1 : TPTP v8.2.0. Released v2.4.0.
% 0.55/0.76 % Domain : Software Creation
% 0.55/0.76 % Problem : cond_id_front_x_id_front_total2
% 0.55/0.76 % Version : [Wei00] axioms.
% 0.55/0.76 % English : Find components in a software library that match a given target
% 0.55/0.76 % specification given in first-order logic. The components are
% 0.55/0.76 % specified in first-order logic as well. The problem represents
% 0.55/0.76 % a test of one library module specification against a target
% 0.55/0.76 % specification.
% 0.55/0.76
% 0.55/0.76 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.55/0.76 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.55/0.76 % Source : [Wei00]
% 0.55/0.76 % Names : cond_id_front_x_id_front_total2 [Wei00]
% 0.55/0.76
% 0.55/0.76 % Status : Theorem
% 0.55/0.76 % Rating : 0.28 v8.2.0, 0.25 v8.1.0, 0.28 v7.5.0, 0.31 v7.4.0, 0.20 v7.3.0, 0.28 v7.2.0, 0.24 v7.1.0, 0.26 v7.0.0, 0.20 v6.4.0, 0.23 v6.3.0, 0.25 v6.2.0, 0.32 v6.1.0, 0.27 v6.0.0, 0.26 v5.5.0, 0.33 v5.4.0, 0.39 v5.3.0, 0.44 v5.2.0, 0.30 v5.1.0, 0.29 v4.1.0, 0.30 v4.0.1, 0.35 v4.0.0, 0.33 v3.7.0, 0.30 v3.5.0, 0.21 v3.4.0, 0.32 v3.3.0, 0.14 v3.2.0, 0.09 v3.1.0, 0.22 v2.7.0, 0.33 v2.4.0
% 0.55/0.76 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 0.55/0.76 % Number of atoms : 411 ( 75 equ)
% 0.55/0.76 % Maximal formula atoms : 17 ( 4 avg)
% 0.55/0.76 % Number of connectives : 347 ( 32 ~; 15 |; 42 &)
% 0.55/0.76 % ( 26 <=>; 232 =>; 0 <=; 0 <~>)
% 0.55/0.76 % Maximal formula depth : 19 ( 7 avg)
% 0.55/0.76 % Maximal term depth : 4 ( 1 avg)
% 0.55/0.76 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.55/0.76 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 0.55/0.76 % Number of variables : 209 ( 195 !; 14 ?)
% 0.55/0.76 % SPC : FOF_THM_RFO_SEQ
% 0.55/0.76
% 0.55/0.76 % Comments :
% 0.55/0.76 %--------------------------------------------------------------------------
% 0.55/0.76 %----Include list specification axioms
% 0.55/0.76 include('Axioms/SWC001+0.ax').
% 0.55/0.76 %--------------------------------------------------------------------------
% 0.55/0.76 fof(co1,conjecture,
% 0.55/0.76 ! [U] :
% 0.55/0.76 ( ssList(U)
% 0.55/0.76 => ! [V] :
% 0.55/0.76 ( ssList(V)
% 0.55/0.76 => ! [W] :
% 0.55/0.76 ( ssList(W)
% 0.55/0.76 => ! [X] :
% 0.55/0.76 ( ssList(X)
% 0.55/0.76 => ( V != X
% 0.55/0.76 | U != W
% 0.55/0.76 | ~ neq(V,nil)
% 0.55/0.76 | ? [Y] :
% 0.55/0.76 ( ssList(Y)
% 0.55/0.76 & neq(Y,nil)
% 0.55/0.76 & frontsegP(V,Y)
% 0.55/0.76 & frontsegP(U,Y) )
% 0.55/0.76 | ( ! [Z] :
% 0.55/0.76 ( ssList(Z)
% 0.55/0.76 => ( ~ neq(Z,nil)
% 0.55/0.76 | ~ frontsegP(X,Z)
% 0.55/0.76 | ~ frontsegP(W,Z) ) )
% 0.55/0.76 & ( nil != X
% 0.55/0.76 | nil != W ) ) ) ) ) ) ) ).
% 0.55/0.76
% 0.55/0.76 %--------------------------------------------------------------------------
% 0.55/0.76 %-------------------------------------------
% 0.55/0.76 % Proof found
% 0.55/0.76 % SZS status Theorem for theBenchmark
% 0.55/0.76 % SZS output start Proof
% 0.55/0.76 %ClaNum:292(EqnAxiom:88)
% 0.55/0.76 %VarNum:1012(SingletonVarNum:328)
% 0.55/0.76 %MaxLitNum:10
% 0.55/0.76 %MaxfuncDepth:4
% 0.55/0.76 %SharedTerms:33
% 0.55/0.76 %goalClause: 89 90 94 95 96 97 105 108 109 110 111 112 113 114 115 243
% 0.55/0.76 %singleGoalClaCount:7
% 0.55/0.76 [89]E(a1,a2)
% 0.55/0.76 [90]E(a46,a48)
% 0.55/0.76 [91]P1(a3)
% 0.55/0.76 [92]P1(a16)
% 0.55/0.76 [93]P15(a49)
% 0.55/0.76 [94]P15(a2)
% 0.55/0.76 [95]P15(a46)
% 0.55/0.76 [96]P15(a1)
% 0.55/0.76 [97]P15(a48)
% 0.55/0.76 [98]P2(a49)
% 0.55/0.76 [99]P16(a49)
% 0.55/0.76 [100]P17(a49)
% 0.55/0.76 [101]P19(a49)
% 0.55/0.76 [102]P18(a49)
% 0.55/0.76 [103]P3(a49)
% 0.55/0.77 [104]P4(a49)
% 0.55/0.77 [105]P5(a46,a49)
% 0.56/0.77 [106]~E(a16,a3)
% 0.56/0.77 [107]~P12(a49)
% 0.56/0.77 [108]E(a1,a49)+P15(a50)
% 0.56/0.77 [109]E(a49,a48)+P15(a50)
% 0.56/0.77 [110]E(a1,a49)+P5(a50,a49)
% 0.56/0.77 [111]E(a1,a49)+P6(a1,a50)
% 0.56/0.77 [112]E(a1,a49)+P6(a48,a50)
% 0.56/0.77 [113]E(a49,a48)+P5(a50,a49)
% 0.56/0.77 [114]E(a49,a48)+P6(a1,a50)
% 0.56/0.77 [115]E(a49,a48)+P6(a48,a50)
% 0.56/0.77 [124]~P15(x1241)+P6(x1241,a49)
% 0.56/0.77 [125]~P15(x1251)+P13(x1251,a49)
% 0.56/0.77 [126]~P15(x1261)+P14(x1261,a49)
% 0.56/0.77 [130]~P15(x1301)+P6(x1301,x1301)
% 0.56/0.77 [131]~P15(x1311)+P13(x1311,x1311)
% 0.56/0.77 [132]~P15(x1321)+P14(x1321,x1321)
% 0.56/0.77 [133]~P1(x1331)+P7(x1331,x1331)
% 0.56/0.77 [134]~P1(x1341)+P8(x1341,x1341)
% 0.56/0.77 [174]~P1(x1741)+~P10(a49,x1741)
% 0.56/0.77 [178]~P11(x1781,x1781)+~P1(x1781)
% 0.56/0.77 [128]~P15(x1281)+E(f4(x1281,a49),x1281)
% 0.56/0.77 [129]~P15(x1291)+E(f4(a49,x1291),x1291)
% 0.56/0.77 [183]~P1(x1831)+P2(f6(x1831,a49))
% 0.56/0.77 [184]~P1(x1841)+P16(f6(x1841,a49))
% 0.56/0.77 [185]~P1(x1851)+P17(f6(x1851,a49))
% 0.56/0.77 [186]~P1(x1861)+P19(f6(x1861,a49))
% 0.56/0.77 [187]~P1(x1871)+P18(f6(x1871,a49))
% 0.56/0.77 [188]~P1(x1881)+P3(f6(x1881,a49))
% 0.56/0.77 [189]~P1(x1891)+P4(f6(x1891,a49))
% 0.56/0.77 [169]~P15(x1691)+~E(a49,x1691)+P6(a49,x1691)
% 0.56/0.77 [170]~P15(x1701)+~E(a49,x1701)+P13(a49,x1701)
% 0.56/0.77 [171]~P15(x1711)+~E(a49,x1711)+P14(a49,x1711)
% 0.56/0.77 [175]~P15(x1751)+~P6(a49,x1751)+E(a49,x1751)
% 0.56/0.77 [176]~P15(x1761)+~P13(a49,x1761)+E(a49,x1761)
% 0.56/0.77 [177]~P15(x1771)+~P14(a49,x1771)+E(a49,x1771)
% 0.56/0.77 [116]~P15(x1161)+E(f51(x1161),f27(x1161))+E(a49,x1161)
% 0.56/0.77 [117]~P15(x1171)+E(f57(x1171),f45(x1171))+E(a49,x1171)
% 0.56/0.77 [118]~P15(x1181)+E(a49,x1181)+P1(f51(x1181))
% 0.56/0.77 [119]~P15(x1191)+E(a49,x1191)+P1(f28(x1191))
% 0.56/0.77 [120]~P15(x1201)+E(a49,x1201)+P1(f27(x1201))
% 0.56/0.77 [121]~P15(x1211)+E(a49,x1211)+P15(f57(x1211))
% 0.56/0.77 [122]~P15(x1221)+E(a49,x1221)+P15(f29(x1221))
% 0.56/0.77 [123]~P15(x1231)+E(a49,x1231)+P15(f45(x1231))
% 0.56/0.77 [127]P3(x1271)+~P15(x1271)+E(f30(x1271),f36(x1271))
% 0.56/0.77 [135]~P15(x1351)+P2(x1351)+P1(f5(x1351))
% 0.56/0.77 [136]~P15(x1361)+P2(x1361)+P1(f7(x1361))
% 0.56/0.77 [137]~P15(x1371)+P2(x1371)+P15(f8(x1371))
% 0.56/0.77 [138]~P15(x1381)+P2(x1381)+P15(f9(x1381))
% 0.56/0.77 [139]~P15(x1391)+P2(x1391)+P15(f10(x1391))
% 0.56/0.77 [140]~P15(x1401)+P16(x1401)+P1(f11(x1401))
% 0.56/0.77 [141]~P15(x1411)+P16(x1411)+P1(f12(x1411))
% 0.56/0.77 [142]~P15(x1421)+P16(x1421)+P15(f13(x1421))
% 0.56/0.77 [143]~P15(x1431)+P16(x1431)+P15(f14(x1431))
% 0.56/0.77 [144]~P15(x1441)+P16(x1441)+P15(f15(x1441))
% 0.56/0.77 [145]~P15(x1451)+P17(x1451)+P1(f17(x1451))
% 0.56/0.77 [146]~P15(x1461)+P17(x1461)+P1(f18(x1461))
% 0.56/0.77 [147]~P15(x1471)+P17(x1471)+P15(f19(x1471))
% 0.56/0.77 [148]~P15(x1481)+P17(x1481)+P15(f20(x1481))
% 0.56/0.77 [149]~P15(x1491)+P17(x1491)+P15(f21(x1491))
% 0.56/0.77 [150]~P15(x1501)+P19(x1501)+P1(f22(x1501))
% 0.56/0.77 [151]~P15(x1511)+P19(x1511)+P1(f23(x1511))
% 0.56/0.77 [152]~P15(x1521)+P19(x1521)+P15(f24(x1521))
% 0.56/0.77 [153]~P15(x1531)+P19(x1531)+P15(f25(x1531))
% 0.56/0.77 [154]~P15(x1541)+P19(x1541)+P15(f26(x1541))
% 0.56/0.77 [155]~P15(x1551)+P18(x1551)+P1(f31(x1551))
% 0.56/0.77 [156]~P15(x1561)+P18(x1561)+P1(f32(x1561))
% 0.56/0.77 [157]~P15(x1571)+P18(x1571)+P15(f33(x1571))
% 0.56/0.77 [158]~P15(x1581)+P18(x1581)+P15(f34(x1581))
% 0.56/0.77 [159]~P15(x1591)+P18(x1591)+P15(f35(x1591))
% 0.56/0.77 [160]~P15(x1601)+P3(x1601)+P1(f30(x1601))
% 0.56/0.77 [161]~P15(x1611)+P3(x1611)+P1(f36(x1611))
% 0.56/0.77 [162]~P15(x1621)+P3(x1621)+P15(f37(x1621))
% 0.56/0.77 [163]~P15(x1631)+P3(x1631)+P15(f38(x1631))
% 0.56/0.77 [164]~P15(x1641)+P3(x1641)+P15(f39(x1641))
% 0.56/0.77 [165]~P15(x1651)+P4(x1651)+P1(f40(x1651))
% 0.56/0.77 [166]~P15(x1661)+P4(x1661)+P1(f42(x1661))
% 0.56/0.77 [167]~P15(x1671)+P4(x1671)+P15(f43(x1671))
% 0.56/0.77 [168]~P15(x1681)+P4(x1681)+P15(f44(x1681))
% 0.56/0.77 [172]~P15(x1721)+P4(x1721)+~E(f42(x1721),f40(x1721))
% 0.56/0.77 [173]~P15(x1731)+~P12(x1731)+P1(f52(x1731))
% 0.56/0.77 [194]~P15(x1941)+P2(x1941)+P7(f5(x1941),f7(x1941))
% 0.56/0.77 [195]~P15(x1951)+P2(x1951)+P7(f7(x1951),f5(x1951))
% 0.56/0.77 [215]~P15(x2151)+P16(x2151)+~P7(f11(x2151),f12(x2151))
% 0.56/0.77 [216]~P15(x2161)+P16(x2161)+~P7(f12(x2161),f11(x2161))
% 0.56/0.77 [217]~P15(x2171)+P17(x2171)+~P11(f17(x2171),f18(x2171))
% 0.56/0.77 [218]~P15(x2181)+P17(x2181)+~P11(f18(x2181),f17(x2181))
% 0.56/0.77 [219]~P15(x2191)+P19(x2191)+~P7(f22(x2191),f23(x2191))
% 0.56/0.77 [220]~P15(x2201)+P18(x2201)+~P11(f31(x2201),f32(x2201))
% 0.56/0.77 [182]~P15(x1821)+~P12(x1821)+E(f6(f52(x1821),a49),x1821)
% 0.56/0.77 [190]~P15(x1901)+E(a49,x1901)+E(f6(f51(x1901),f57(x1901)),x1901)
% 0.56/0.77 [191]~P15(x1911)+E(a49,x1911)+E(f6(f28(x1911),f29(x1911)),x1911)
% 0.56/0.77 [281]P2(x2811)+~P15(x2811)+E(f4(f4(f8(x2811),f6(f5(x2811),f9(x2811))),f6(f7(x2811),f10(x2811))),x2811)
% 0.56/0.77 [282]P16(x2821)+~P15(x2821)+E(f4(f4(f13(x2821),f6(f11(x2821),f14(x2821))),f6(f12(x2821),f15(x2821))),x2821)
% 0.56/0.77 [283]P17(x2831)+~P15(x2831)+E(f4(f4(f19(x2831),f6(f17(x2831),f20(x2831))),f6(f18(x2831),f21(x2831))),x2831)
% 0.56/0.77 [284]P19(x2841)+~P15(x2841)+E(f4(f4(f24(x2841),f6(f22(x2841),f25(x2841))),f6(f23(x2841),f26(x2841))),x2841)
% 0.56/0.77 [285]P18(x2851)+~P15(x2851)+E(f4(f4(f33(x2851),f6(f31(x2851),f34(x2851))),f6(f32(x2851),f35(x2851))),x2851)
% 0.56/0.77 [286]P3(x2861)+~P15(x2861)+E(f4(f4(f37(x2861),f6(f30(x2861),f38(x2861))),f6(f36(x2861),f39(x2861))),x2861)
% 0.56/0.77 [279]P4(x2791)+~P15(x2791)+E(f4(f43(x2791),f6(f40(x2791),f6(f42(x2791),f44(x2791)))),x2791)
% 0.56/0.77 [192]~P1(x1921)+~P15(x1922)+~E(f6(x1921,x1922),a49)
% 0.56/0.77 [193]~P1(x1931)+~P15(x1932)+~E(f6(x1931,x1932),x1932)
% 0.56/0.77 [202]~P1(x2021)+~P15(x2022)+P15(f6(x2021,x2022))
% 0.56/0.77 [203]~P15(x2032)+~P15(x2031)+P15(f4(x2031,x2032))
% 0.56/0.77 [204]~P1(x2041)+~P15(x2042)+E(f51(f6(x2041,x2042)),x2041)
% 0.56/0.77 [205]~P1(x2051)+~P15(x2052)+E(f57(f6(x2051,x2052)),x2052)
% 0.56/0.77 [232]~P1(x2321)+~P15(x2322)+E(f4(f6(x2321,a49),x2322),f6(x2321,x2322))
% 0.56/0.77 [243]~P15(x2431)+~P5(x2431,a49)+~P6(a2,x2431)+~P6(a46,x2431)
% 0.56/0.77 [179]P5(x1791,x1792)+~P1(x1792)+~P1(x1791)+E(x1791,x1792)
% 0.56/0.77 [180]P5(x1801,x1802)+~P15(x1802)+~P15(x1801)+E(x1801,x1802)
% 0.56/0.77 [199]~P1(x1992)+~P1(x1991)+~P5(x1991,x1992)+~E(x1991,x1992)
% 0.56/0.77 [200]~P1(x2002)+~P1(x2001)+~P11(x2001,x2002)+~E(x2001,x2002)
% 0.56/0.77 [201]~P15(x2012)+~P15(x2011)+~P5(x2011,x2012)+~E(x2011,x2012)
% 0.56/0.77 [210]~P1(x2101)+~P1(x2102)+~P8(x2102,x2101)+P7(x2101,x2102)
% 0.56/0.77 [211]~P1(x2112)+~P1(x2111)+~P11(x2111,x2112)+P7(x2111,x2112)
% 0.56/0.77 [212]~P1(x2121)+~P1(x2122)+~P9(x2122,x2121)+P11(x2121,x2122)
% 0.56/0.77 [213]~P1(x2131)+~P1(x2132)+~P7(x2132,x2131)+P8(x2131,x2132)
% 0.56/0.77 [214]~P1(x2141)+~P1(x2142)+~P11(x2142,x2141)+P9(x2141,x2142)
% 0.56/0.77 [223]~P11(x2231,x2232)+~P11(x2232,x2231)+~P1(x2231)+~P1(x2232)
% 0.56/0.77 [224]~P9(x2241,x2242)+~P9(x2242,x2241)+~P1(x2241)+~P1(x2242)
% 0.56/0.77 [196]~P15(x1962)+~P15(x1961)+E(a49,x1961)+~E(f4(x1962,x1961),a49)
% 0.56/0.77 [197]~P15(x1972)+~P15(x1971)+E(a49,x1971)+~E(f4(x1971,x1972),a49)
% 0.56/0.77 [198]~P1(x1982)+~P15(x1981)+P12(x1981)+~E(f6(x1982,a49),x1981)
% 0.56/0.77 [207]~P1(x2071)+~P15(x2072)+~E(a49,x2072)+P19(f6(x2071,x2072))
% 0.56/0.77 [208]~P1(x2081)+~P15(x2082)+~E(a49,x2082)+P18(f6(x2081,x2082))
% 0.56/0.77 [235]~P1(x2352)+~P15(x2351)+~P10(x2351,x2352)+P15(f41(x2351,x2352))
% 0.56/0.77 [236]~P1(x2362)+~P15(x2361)+~P10(x2361,x2362)+P15(f47(x2361,x2362))
% 0.56/0.77 [237]~P15(x2372)+~P15(x2371)+~P6(x2371,x2372)+P15(f53(x2371,x2372))
% 0.56/0.77 [238]~P15(x2382)+~P15(x2381)+~P13(x2381,x2382)+P15(f54(x2381,x2382))
% 0.56/0.77 [239]~P15(x2392)+~P15(x2391)+~P14(x2391,x2392)+P15(f55(x2391,x2392))
% 0.56/0.77 [240]~P15(x2402)+~P15(x2401)+~P14(x2401,x2402)+P15(f56(x2401,x2402))
% 0.56/0.77 [209]~P15(x2092)+~P15(x2091)+E(a49,x2091)+E(f51(f4(x2091,x2092)),f51(x2091))
% 0.56/0.77 [234]~P15(x2342)+~P15(x2341)+E(a49,x2341)+E(f57(f4(x2341,x2342)),f4(f57(x2341),x2342))
% 0.56/0.77 [248]~P15(x2482)+~P15(x2481)+~P6(x2482,x2481)+E(f4(x2481,f53(x2482,x2481)),x2482)
% 0.56/0.77 [249]~P15(x2492)+~P15(x2491)+~P13(x2491,x2492)+E(f4(f54(x2491,x2492),x2492),x2491)
% 0.56/0.77 [278]~P15(x2782)+~P15(x2781)+~P14(x2781,x2782)+E(f4(f4(f55(x2781,x2782),x2782),f56(x2781,x2782)),x2781)
% 0.56/0.77 [277]~P1(x2772)+~P15(x2771)+~P10(x2771,x2772)+E(f4(f41(x2771,x2772),f6(x2772,f47(x2771,x2772))),x2771)
% 0.56/0.77 [267]~P1(x2671)+~P15(x2672)+~P15(x2673)+E(f6(x2671,f4(x2672,x2673)),f4(f6(x2671,x2672),x2673))
% 0.56/0.77 [268]~P15(x2683)+~P15(x2682)+~P15(x2681)+E(f4(f4(x2681,x2682),x2683),f4(x2681,f4(x2682,x2683)))
% 0.56/0.77 [222]P11(x2221,x2222)+~P1(x2222)+~P1(x2221)+~P7(x2221,x2222)+E(x2221,x2222)
% 0.56/0.77 [227]~P1(x2272)+~P1(x2271)+~P7(x2272,x2271)+~P7(x2271,x2272)+E(x2271,x2272)
% 0.56/0.77 [228]~P1(x2282)+~P1(x2281)+~P8(x2282,x2281)+~P8(x2281,x2282)+E(x2281,x2282)
% 0.56/0.77 [229]~P15(x2292)+~P15(x2291)+~P6(x2292,x2291)+~P6(x2291,x2292)+E(x2291,x2292)
% 0.56/0.77 [230]~P15(x2302)+~P15(x2301)+~P13(x2302,x2301)+~P13(x2301,x2302)+E(x2301,x2302)
% 0.56/0.77 [231]~P15(x2312)+~P15(x2311)+~P14(x2312,x2311)+~P14(x2311,x2312)+E(x2311,x2312)
% 0.56/0.77 [181]~P15(x1811)+~P15(x1812)+~E(a49,x1811)+~E(a49,x1812)+E(f4(x1811,x1812),a49)
% 0.56/0.77 [244]P19(x2441)+~P15(x2441)+~P1(x2442)+E(a49,x2441)+~P19(f6(x2442,x2441))
% 0.56/0.77 [245]P18(x2451)+~P15(x2451)+~P1(x2452)+E(a49,x2451)+~P18(f6(x2452,x2451))
% 0.56/0.77 [258]~P1(x2582)+~P15(x2581)+E(a49,x2581)+P7(x2582,f51(x2581))+~P19(f6(x2582,x2581))
% 0.56/0.77 [259]~P1(x2592)+~P15(x2591)+E(a49,x2591)+P11(x2592,f51(x2591))+~P18(f6(x2592,x2591))
% 0.56/0.77 [225]~P15(x2251)+~P15(x2252)+~P15(x2253)+P6(x2251,x2252)+~E(f4(x2252,x2253),x2251)
% 0.56/0.77 [226]~P15(x2261)+~P15(x2262)+~P15(x2263)+P13(x2261,x2262)+~E(f4(x2263,x2262),x2261)
% 0.56/0.77 [233]~E(x2333,x2331)+~P1(x2331)+~P1(x2333)+~P15(x2332)+P10(f6(x2331,x2332),x2333)
% 0.56/0.77 [241]~P15(x2412)+~P15(x2413)+~P15(x2411)+E(x2411,x2412)+~E(f4(x2413,x2411),f4(x2413,x2412))
% 0.56/0.77 [242]~P15(x2422)+~P15(x2423)+~P15(x2421)+E(x2421,x2422)+~E(f4(x2421,x2423),f4(x2422,x2423))
% 0.56/0.77 [260]~P1(x2601)+~P1(x2603)+~P15(x2602)+~P10(x2602,x2603)+P10(f6(x2601,x2602),x2603)
% 0.56/0.77 [261]~P1(x2613)+~P15(x2611)+~P15(x2612)+~P10(x2612,x2613)+P10(f4(x2611,x2612),x2613)
% 0.56/0.77 [262]~P1(x2623)+~P15(x2622)+~P15(x2621)+~P10(x2621,x2623)+P10(f4(x2621,x2622),x2623)
% 0.56/0.77 [263]~P15(x2632)+~P15(x2633)+~P15(x2631)+~P6(x2631,x2633)+P6(f4(x2631,x2632),x2633)
% 0.56/0.77 [264]~P15(x2641)+~P15(x2643)+~P15(x2642)+~P13(x2642,x2643)+P13(f4(x2641,x2642),x2643)
% 0.56/0.77 [265]~P1(x2652)+~P15(x2651)+~P19(x2651)+~P7(x2652,f51(x2651))+E(a49,x2651)+P19(f6(x2652,x2651))
% 0.56/0.77 [266]~P1(x2662)+~P15(x2661)+~P18(x2661)+~P11(x2662,f51(x2661))+E(a49,x2661)+P18(f6(x2662,x2661))
% 0.56/0.77 [250]~P15(x2502)+~P15(x2501)+~P6(x2503,x2502)+~P6(x2501,x2503)+P6(x2501,x2502)+~P15(x2503)
% 0.56/0.77 [251]~P15(x2512)+~P15(x2511)+~P13(x2513,x2512)+~P13(x2511,x2513)+P13(x2511,x2512)+~P15(x2513)
% 0.56/0.77 [252]~P15(x2522)+~P15(x2521)+~P14(x2523,x2522)+~P14(x2521,x2523)+P14(x2521,x2522)+~P15(x2523)
% 0.56/0.77 [253]~P1(x2532)+~P1(x2531)+~P7(x2533,x2532)+~P7(x2531,x2533)+P7(x2531,x2532)+~P1(x2533)
% 0.56/0.77 [254]~P1(x2542)+~P1(x2541)+~P7(x2541,x2543)+~P11(x2543,x2542)+P11(x2541,x2542)+~P1(x2543)
% 0.56/0.77 [255]~P1(x2552)+~P1(x2551)+~P11(x2553,x2552)+~P11(x2551,x2553)+P11(x2551,x2552)+~P1(x2553)
% 0.56/0.77 [256]~P1(x2562)+~P1(x2561)+~P8(x2563,x2562)+~P8(x2561,x2563)+P8(x2561,x2562)+~P1(x2563)
% 0.56/0.77 [257]~P1(x2572)+~P1(x2571)+~P9(x2573,x2572)+~P9(x2571,x2573)+P9(x2571,x2572)+~P1(x2573)
% 0.56/0.77 [269]~P1(x2692)+~P1(x2691)+~P15(x2693)+E(x2691,x2692)+P10(x2693,x2692)+~P10(f6(x2691,x2693),x2692)
% 0.56/0.77 [272]~P1(x2722)+~P15(x2721)+~P15(x2723)+P10(x2721,x2722)+P10(x2723,x2722)+~P10(f4(x2723,x2721),x2722)
% 0.56/0.77 [246]~P1(x2464)+~P1(x2463)+~P15(x2462)+~P15(x2461)+E(x2461,x2462)+~E(f6(x2463,x2462),f6(x2464,x2461))
% 0.56/0.77 [247]~P1(x2472)+~P1(x2471)+~P15(x2474)+~P15(x2473)+E(x2471,x2472)+~E(f6(x2471,x2473),f6(x2472,x2474))
% 0.56/0.77 [274]~P1(x2742)+~P1(x2741)+E(x2741,x2742)+~P15(x2743)+~P15(x2744)+~P6(f6(x2741,x2744),f6(x2742,x2743))
% 0.56/0.77 [276]~P15(x2762)+~P15(x2761)+P6(x2761,x2762)+~P1(x2763)+~P1(x2764)+~P6(f6(x2764,x2761),f6(x2763,x2762))
% 0.56/0.77 [270]~P1(x2702)+~P15(x2701)+~P15(x2704)+~P15(x2703)+P10(x2701,x2702)+~E(f4(x2703,f6(x2702,x2704)),x2701)
% 0.56/0.77 [271]~P15(x2711)+~P15(x2712)+~P15(x2714)+~P15(x2713)+P14(x2711,x2712)+~E(f4(f4(x2713,x2712),x2714),x2711)
% 0.56/0.77 [275]~P15(x2753)+~P15(x2751)+~P15(x2754)+~P15(x2752)+~P14(x2752,x2754)+P14(f4(f4(x2751,x2752),x2753),x2754)
% 0.56/0.77 [206]~P15(x2062)+~P15(x2061)+E(x2061,x2062)+E(a49,x2062)+E(a49,x2061)+~E(f51(x2061),f51(x2062))+~E(f57(x2061),f57(x2062))
% 0.56/0.77 [273]~E(x2731,x2733)+~P1(x2733)+~P1(x2731)+~P15(x2734)+~P15(x2732)+~P6(x2732,x2734)+P6(f6(x2731,x2732),f6(x2733,x2734))
% 0.56/0.77 [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)
% 0.56/0.77 [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)
% 0.56/0.77 [288]~P1(x2882)+~P1(x2881)+~P15(x2885)+~P15(x2884)+~P15(x2883)+~P15(x2886)+~P19(x2886)+P7(x2881,x2882)+~E(f4(f4(x2883,f6(x2881,x2884)),f6(x2882,x2885)),x2886)
% 0.56/0.77 [289]~P1(x2892)+~P1(x2891)+~P15(x2895)+~P15(x2894)+~P15(x2893)+~P15(x2896)+~P18(x2896)+P11(x2891,x2892)+~E(f4(f4(x2893,f6(x2891,x2894)),f6(x2892,x2895)),x2896)
% 0.56/0.77 [290]P7(x2902,x2901)+~P1(x2901)+~P1(x2902)+~P15(x2905)+~P15(x2904)+~P15(x2903)+~P15(x2906)+~P16(x2906)+P7(x2901,x2902)+~E(f4(f4(x2903,f6(x2902,x2904)),f6(x2901,x2905)),x2906)
% 0.56/0.77 [291]P11(x2912,x2911)+~P1(x2911)+~P1(x2912)+~P15(x2915)+~P15(x2914)+~P15(x2913)+~P15(x2916)+~P17(x2916)+P11(x2911,x2912)+~E(f4(f4(x2913,f6(x2912,x2914)),f6(x2911,x2915)),x2916)
% 0.56/0.77 [292]~P1(x2924)+~P1(x2922)+~P15(x2925)+~P15(x2923)+~P15(x2921)+~P15(x2926)+~P2(x2926)+~P7(x2924,x2922)+~P7(x2922,x2924)+~E(f4(f4(x2921,f6(x2922,x2923)),f6(x2924,x2925)),x2926)
% 0.56/0.77 %EqnAxiom
% 0.56/0.77 [1]E(x11,x11)
% 0.56/0.77 [2]E(x22,x21)+~E(x21,x22)
% 0.56/0.77 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.56/0.77 [4]~E(x41,x42)+E(f51(x41),f51(x42))
% 0.56/0.77 [5]~E(x51,x52)+E(f27(x51),f27(x52))
% 0.56/0.77 [6]~E(x61,x62)+E(f57(x61),f57(x62))
% 0.56/0.77 [7]~E(x71,x72)+E(f45(x71),f45(x72))
% 0.56/0.77 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 0.56/0.77 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 0.56/0.77 [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 0.56/0.77 [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 0.56/0.77 [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 0.56/0.77 [13]~E(x131,x132)+E(f44(x131),f44(x132))
% 0.56/0.77 [14]~E(x141,x142)+E(f29(x141),f29(x142))
% 0.56/0.77 [15]~E(x151,x152)+E(f42(x151),f42(x152))
% 0.56/0.77 [16]~E(x161,x162)+E(f30(x161),f30(x162))
% 0.56/0.77 [17]~E(x171,x172)+E(f36(x171),f36(x172))
% 0.56/0.77 [18]~E(x181,x182)+E(f40(x181),f40(x182))
% 0.56/0.77 [19]~E(x191,x192)+E(f43(x191),f43(x192))
% 0.56/0.77 [20]~E(x201,x202)+E(f5(x201),f5(x202))
% 0.56/0.77 [21]~E(x211,x212)+E(f7(x211),f7(x212))
% 0.56/0.77 [22]~E(x221,x222)+E(f8(x221),f8(x222))
% 0.56/0.77 [23]~E(x231,x232)+E(f9(x231),f9(x232))
% 0.56/0.77 [24]~E(x241,x242)+E(f10(x241),f10(x242))
% 0.56/0.77 [25]~E(x251,x252)+E(f11(x251),f11(x252))
% 0.56/0.77 [26]~E(x261,x262)+E(f12(x261),f12(x262))
% 0.56/0.77 [27]~E(x271,x272)+E(f13(x271),f13(x272))
% 0.56/0.77 [28]~E(x281,x282)+E(f14(x281),f14(x282))
% 0.56/0.77 [29]~E(x291,x292)+E(f15(x291),f15(x292))
% 0.56/0.77 [30]~E(x301,x302)+E(f17(x301),f17(x302))
% 0.56/0.77 [31]~E(x311,x312)+E(f18(x311),f18(x312))
% 0.56/0.77 [32]~E(x321,x322)+E(f19(x321),f19(x322))
% 0.56/0.77 [33]~E(x331,x332)+E(f20(x331),f20(x332))
% 0.56/0.77 [34]~E(x341,x342)+E(f21(x341),f21(x342))
% 0.56/0.77 [35]~E(x351,x352)+E(f22(x351),f22(x352))
% 0.56/0.77 [36]~E(x361,x362)+E(f23(x361),f23(x362))
% 0.56/0.77 [37]~E(x371,x372)+E(f24(x371),f24(x372))
% 0.56/0.77 [38]~E(x381,x382)+E(f25(x381),f25(x382))
% 0.56/0.77 [39]~E(x391,x392)+E(f26(x391),f26(x392))
% 0.56/0.77 [40]~E(x401,x402)+E(f31(x401),f31(x402))
% 0.56/0.77 [41]~E(x411,x412)+E(f32(x411),f32(x412))
% 0.56/0.77 [42]~E(x421,x422)+E(f33(x421),f33(x422))
% 0.56/0.77 [43]~E(x431,x432)+E(f34(x431),f34(x432))
% 0.56/0.77 [44]~E(x441,x442)+E(f35(x441),f35(x442))
% 0.56/0.77 [45]~E(x451,x452)+E(f54(x451,x453),f54(x452,x453))
% 0.56/0.77 [46]~E(x461,x462)+E(f54(x463,x461),f54(x463,x462))
% 0.56/0.78 [47]~E(x471,x472)+E(f37(x471),f37(x472))
% 0.56/0.78 [48]~E(x481,x482)+E(f41(x481,x483),f41(x482,x483))
% 0.56/0.78 [49]~E(x491,x492)+E(f41(x493,x491),f41(x493,x492))
% 0.56/0.78 [50]~E(x501,x502)+E(f38(x501),f38(x502))
% 0.56/0.78 [51]~E(x511,x512)+E(f39(x511),f39(x512))
% 0.56/0.78 [52]~E(x521,x522)+E(f55(x521,x523),f55(x522,x523))
% 0.56/0.78 [53]~E(x531,x532)+E(f55(x533,x531),f55(x533,x532))
% 0.56/0.78 [54]~E(x541,x542)+E(f47(x541,x543),f47(x542,x543))
% 0.56/0.78 [55]~E(x551,x552)+E(f47(x553,x551),f47(x553,x552))
% 0.56/0.78 [56]~E(x561,x562)+E(f56(x561,x563),f56(x562,x563))
% 0.56/0.78 [57]~E(x571,x572)+E(f56(x573,x571),f56(x573,x572))
% 0.56/0.78 [58]~E(x581,x582)+E(f53(x581,x583),f53(x582,x583))
% 0.56/0.78 [59]~E(x591,x592)+E(f53(x593,x591),f53(x593,x592))
% 0.56/0.78 [60]~E(x601,x602)+E(f52(x601),f52(x602))
% 0.56/0.78 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 0.56/0.78 [62]P7(x622,x623)+~E(x621,x622)+~P7(x621,x623)
% 0.56/0.78 [63]P7(x633,x632)+~E(x631,x632)+~P7(x633,x631)
% 0.56/0.78 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 0.56/0.78 [65]P10(x652,x653)+~E(x651,x652)+~P10(x651,x653)
% 0.56/0.78 [66]P10(x663,x662)+~E(x661,x662)+~P10(x663,x661)
% 0.56/0.78 [67]~P18(x671)+P18(x672)+~E(x671,x672)
% 0.56/0.78 [68]~P3(x681)+P3(x682)+~E(x681,x682)
% 0.56/0.78 [69]~P2(x691)+P2(x692)+~E(x691,x692)
% 0.56/0.78 [70]~P4(x701)+P4(x702)+~E(x701,x702)
% 0.56/0.78 [71]~P16(x711)+P16(x712)+~E(x711,x712)
% 0.56/0.78 [72]~P17(x721)+P17(x722)+~E(x721,x722)
% 0.56/0.78 [73]~P19(x731)+P19(x732)+~E(x731,x732)
% 0.56/0.78 [74]~P12(x741)+P12(x742)+~E(x741,x742)
% 0.56/0.78 [75]P6(x752,x753)+~E(x751,x752)+~P6(x751,x753)
% 0.56/0.78 [76]P6(x763,x762)+~E(x761,x762)+~P6(x763,x761)
% 0.56/0.78 [77]P11(x772,x773)+~E(x771,x772)+~P11(x771,x773)
% 0.56/0.78 [78]P11(x783,x782)+~E(x781,x782)+~P11(x783,x781)
% 0.56/0.78 [79]P5(x792,x793)+~E(x791,x792)+~P5(x791,x793)
% 0.56/0.78 [80]P5(x803,x802)+~E(x801,x802)+~P5(x803,x801)
% 0.56/0.78 [81]P13(x812,x813)+~E(x811,x812)+~P13(x811,x813)
% 0.56/0.78 [82]P13(x823,x822)+~E(x821,x822)+~P13(x823,x821)
% 0.56/0.78 [83]P14(x832,x833)+~E(x831,x832)+~P14(x831,x833)
% 0.56/0.78 [84]P14(x843,x842)+~E(x841,x842)+~P14(x843,x841)
% 0.56/0.78 [85]P8(x852,x853)+~E(x851,x852)+~P8(x851,x853)
% 0.56/0.78 [86]P8(x863,x862)+~E(x861,x862)+~P8(x863,x861)
% 0.56/0.78 [87]P9(x872,x873)+~E(x871,x872)+~P9(x871,x873)
% 0.56/0.78 [88]P9(x883,x882)+~E(x881,x882)+~P9(x883,x881)
% 0.56/0.78
% 0.56/0.78 %-------------------------------------------
% 0.56/0.78 cnf(299,plain,
% 0.56/0.78 (~P5(x2991,x2991)+~P15(x2991)+~P15(x2991)),
% 0.56/0.78 inference(equality_inference,[],[201])).
% 0.56/0.78 cnf(334,plain,
% 0.56/0.78 (E(a48,a46)),
% 0.56/0.78 inference(scs_inference,[],[90,92,178,2])).
% 0.56/0.78 cnf(351,plain,
% 0.56/0.78 (~E(a49,a48)),
% 0.56/0.78 inference(scs_inference,[],[105,95,334,299,80,3])).
% 0.56/0.78 cnf(358,plain,
% 0.56/0.78 (P15(a50)),
% 0.56/0.78 inference(scs_inference,[],[351,109])).
% 0.56/0.78 cnf(359,plain,
% 0.56/0.78 (P5(a50,a49)),
% 0.56/0.78 inference(scs_inference,[],[351,113])).
% 0.56/0.78 cnf(360,plain,
% 0.56/0.78 (P6(a1,a50)),
% 0.56/0.78 inference(scs_inference,[],[351,114])).
% 0.56/0.78 cnf(361,plain,
% 0.56/0.78 (P6(a48,a50)),
% 0.56/0.78 inference(scs_inference,[],[351,115])).
% 0.56/0.78 cnf(374,plain,
% 0.56/0.78 (~P6(a46,a50)),
% 0.56/0.78 inference(scs_inference,[],[89,360,359,358,75,299,80,243])).
% 0.56/0.78 cnf(383,plain,
% 0.56/0.78 ($false),
% 0.56/0.78 inference(scs_inference,[],[361,374,334,75]),
% 0.56/0.78 ['proof']).
% 0.56/0.78 % SZS output end Proof
% 0.56/0.78 % Total time :0.070000s
%------------------------------------------------------------------------------