%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC038+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 : n003.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 8.23s 8.29s
% Output : CNFRefutation 8.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC038+1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n003.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 02:57:54 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.44/0.60 start to proof:theBenchmark
% 8.23/8.28 %-------------------------------------------
% 8.23/8.28 % File :CSE---1.7
% 8.23/8.28 % Problem :theBenchmark
% 8.23/8.28 % Transform :cnf
% 8.23/8.28 % Format :tptp:raw
% 8.23/8.28 % Command :java -jar mcs_scs.jar %d %s
% 8.23/8.28
% 8.23/8.28 % Result :Theorem 7.560000s
% 8.23/8.28 % Output :CNFRefutation 7.560000s
% 8.23/8.28 %-------------------------------------------
% 8.23/8.29 %--------------------------------------------------------------------------
% 8.23/8.29 % File : SWC038+1 : TPTP v8.2.0. Released v2.4.0.
% 8.23/8.29 % Domain : Software Creation
% 8.23/8.29 % Problem : cond_id_nil_x_ne_segment_front_total2
% 8.23/8.29 % Version : [Wei00] axioms.
% 8.23/8.29 % English : Find components in a software library that match a given target
% 8.23/8.29 % specification given in first-order logic. The components are
% 8.23/8.29 % specified in first-order logic as well. The problem represents
% 8.23/8.29 % a test of one library module specification against a target
% 8.23/8.29 % specification.
% 8.23/8.29
% 8.23/8.29 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 8.23/8.29 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 8.23/8.29 % Source : [Wei00]
% 8.23/8.29 % Names : cond_id_nil_x_ne_segment_front_total2 [Wei00]
% 8.23/8.29
% 8.23/8.29 % Status : Theorem
% 8.23/8.29 % Rating : 0.19 v8.2.0, 0.17 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.13 v7.3.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.08 v6.3.0, 0.04 v6.2.0, 0.16 v6.1.0, 0.13 v6.0.0, 0.09 v5.5.0, 0.15 v5.4.0, 0.14 v5.3.0, 0.19 v5.2.0, 0.15 v5.1.0, 0.14 v5.0.0, 0.12 v4.1.0, 0.13 v4.0.1, 0.17 v4.0.0, 0.21 v3.7.0, 0.15 v3.5.0, 0.11 v3.3.0, 0.00 v3.2.0, 0.09 v3.1.0, 0.11 v2.7.0, 0.33 v2.6.0, 0.17 v2.4.0
% 8.23/8.29 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 8.23/8.29 % Number of atoms : 406 ( 77 equ)
% 8.23/8.29 % Maximal formula atoms : 12 ( 4 avg)
% 8.23/8.29 % Number of connectives : 341 ( 31 ~; 14 |; 39 &)
% 8.23/8.29 % ( 26 <=>; 231 =>; 0 <=; 0 <~>)
% 8.23/8.29 % Maximal formula depth : 17 ( 7 avg)
% 8.23/8.29 % Maximal term depth : 4 ( 1 avg)
% 8.23/8.29 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 8.23/8.29 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 8.23/8.29 % Number of variables : 207 ( 194 !; 13 ?)
% 8.23/8.29 % SPC : FOF_THM_RFO_SEQ
% 8.23/8.29
% 8.23/8.29 % Comments :
% 8.23/8.29 %--------------------------------------------------------------------------
% 8.23/8.29 %----Include list specification axioms
% 8.23/8.29 include('Axioms/SWC001+0.ax').
% 8.23/8.29 %--------------------------------------------------------------------------
% 8.23/8.29 fof(co1,conjecture,
% 8.23/8.29 ! [U] :
% 8.23/8.29 ( ssList(U)
% 8.23/8.29 => ! [V] :
% 8.23/8.29 ( ssList(V)
% 8.23/8.29 => ! [W] :
% 8.23/8.29 ( ssList(W)
% 8.23/8.29 => ! [X] :
% 8.23/8.29 ( ssList(X)
% 8.23/8.29 => ( nil != V
% 8.23/8.29 | V != X
% 8.23/8.29 | U != W
% 8.23/8.29 | nil = U
% 8.23/8.29 | ( ( nil != X
% 8.23/8.29 | nil != W )
% 8.23/8.29 & ( ~ neq(W,nil)
% 8.23/8.29 | ~ frontsegP(X,W) ) ) ) ) ) ) ) ).
% 8.23/8.29
% 8.23/8.29 %--------------------------------------------------------------------------
% 8.23/8.29 %-------------------------------------------
% 8.23/8.29 % Proof found
% 8.23/8.29 % SZS status Theorem for theBenchmark
% 8.23/8.29 % SZS output start Proof
% 8.23/8.29 %ClaNum:288(EqnAxiom:88)
% 8.23/8.29 %VarNum:1008(SingletonVarNum:327)
% 8.23/8.29 %MaxLitNum:10
% 8.23/8.29 %MaxfuncDepth:4
% 8.23/8.29 %SharedTerms:31
% 8.23/8.29 %goalClause: 89 90 91 95 96 97 98 107 109 110 111 112
% 8.23/8.29 %singleGoalClaCount:8
% 8.23/8.29 [89]E(a1,a46)
% 8.23/8.29 [90]E(a2,a47)
% 8.23/8.29 [91]E(a1,a49)
% 8.23/8.29 [92]P1(a3)
% 8.23/8.29 [93]P1(a16)
% 8.23/8.29 [94]P15(a46)
% 8.23/8.29 [95]P15(a2)
% 8.23/8.29 [96]P15(a1)
% 8.23/8.29 [97]P15(a47)
% 8.23/8.29 [98]P15(a49)
% 8.23/8.29 [99]P2(a46)
% 8.23/8.29 [100]P16(a46)
% 8.23/8.29 [101]P17(a46)
% 8.23/8.29 [102]P19(a46)
% 8.23/8.29 [103]P18(a46)
% 8.23/8.29 [104]P3(a46)
% 8.23/8.29 [105]P4(a46)
% 8.23/8.29 [106]~E(a16,a3)
% 8.23/8.29 [107]~E(a2,a46)
% 8.23/8.29 [108]~P5(a46)
% 8.23/8.29 [109]E(a47,a46)+P6(a47,a46)
% 8.23/8.29 [110]E(a47,a46)+P7(a49,a47)
% 8.23/8.29 [111]P6(a47,a46)+E(a49,a46)
% 8.23/8.29 [112]E(a49,a46)+P7(a49,a47)
% 8.23/8.29 [121]~P15(x1211)+P7(x1211,a46)
% 8.23/8.29 [122]~P15(x1221)+P13(x1221,a46)
% 8.23/8.29 [123]~P15(x1231)+P14(x1231,a46)
% 8.23/8.29 [127]~P15(x1271)+P7(x1271,x1271)
% 8.23/8.29 [128]~P15(x1281)+P13(x1281,x1281)
% 8.23/8.29 [129]~P15(x1291)+P14(x1291,x1291)
% 8.23/8.29 [130]~P1(x1301)+P8(x1301,x1301)
% 8.23/8.29 [131]~P1(x1311)+P9(x1311,x1311)
% 8.23/8.29 [171]~P1(x1711)+~P11(a46,x1711)
% 8.23/8.29 [175]~P12(x1751,x1751)+~P1(x1751)
% 8.23/8.29 [125]~P15(x1251)+E(f4(x1251,a46),x1251)
% 8.23/8.29 [126]~P15(x1261)+E(f4(a46,x1261),x1261)
% 8.23/8.29 [180]~P1(x1801)+P2(f6(x1801,a46))
% 8.23/8.29 [181]~P1(x1811)+P16(f6(x1811,a46))
% 8.23/8.29 [182]~P1(x1821)+P17(f6(x1821,a46))
% 8.23/8.29 [183]~P1(x1831)+P19(f6(x1831,a46))
% 8.23/8.29 [184]~P1(x1841)+P18(f6(x1841,a46))
% 8.23/8.29 [185]~P1(x1851)+P3(f6(x1851,a46))
% 8.23/8.29 [186]~P1(x1861)+P4(f6(x1861,a46))
% 8.23/8.29 [166]~P15(x1661)+~E(a46,x1661)+P7(a46,x1661)
% 8.23/8.29 [167]~P15(x1671)+~E(a46,x1671)+P13(a46,x1671)
% 8.23/8.29 [168]~P15(x1681)+~E(a46,x1681)+P14(a46,x1681)
% 8.23/8.29 [172]~P15(x1721)+~P7(a46,x1721)+E(a46,x1721)
% 8.23/8.29 [173]~P15(x1731)+~P13(a46,x1731)+E(a46,x1731)
% 8.23/8.29 [174]~P15(x1741)+~P14(a46,x1741)+E(a46,x1741)
% 8.23/8.29 [113]~P15(x1131)+E(f50(x1131),f27(x1131))+E(a46,x1131)
% 8.23/8.29 [114]~P15(x1141)+E(f56(x1141),f45(x1141))+E(a46,x1141)
% 8.23/8.29 [115]~P15(x1151)+E(a46,x1151)+P1(f50(x1151))
% 8.23/8.29 [116]~P15(x1161)+E(a46,x1161)+P1(f28(x1161))
% 8.23/8.29 [117]~P15(x1171)+E(a46,x1171)+P1(f27(x1171))
% 8.23/8.29 [118]~P15(x1181)+E(a46,x1181)+P15(f56(x1181))
% 8.23/8.29 [119]~P15(x1191)+E(a46,x1191)+P15(f29(x1191))
% 8.23/8.29 [120]~P15(x1201)+E(a46,x1201)+P15(f45(x1201))
% 8.23/8.29 [124]P3(x1241)+~P15(x1241)+E(f30(x1241),f36(x1241))
% 8.23/8.29 [132]~P15(x1321)+P2(x1321)+P1(f5(x1321))
% 8.23/8.29 [133]~P15(x1331)+P2(x1331)+P1(f7(x1331))
% 8.23/8.29 [134]~P15(x1341)+P2(x1341)+P15(f8(x1341))
% 8.23/8.29 [135]~P15(x1351)+P2(x1351)+P15(f9(x1351))
% 8.23/8.29 [136]~P15(x1361)+P2(x1361)+P15(f10(x1361))
% 8.23/8.29 [137]~P15(x1371)+P16(x1371)+P1(f11(x1371))
% 8.23/8.29 [138]~P15(x1381)+P16(x1381)+P1(f12(x1381))
% 8.23/8.29 [139]~P15(x1391)+P16(x1391)+P15(f13(x1391))
% 8.23/8.29 [140]~P15(x1401)+P16(x1401)+P15(f14(x1401))
% 8.23/8.29 [141]~P15(x1411)+P16(x1411)+P15(f15(x1411))
% 8.23/8.29 [142]~P15(x1421)+P17(x1421)+P1(f17(x1421))
% 8.23/8.29 [143]~P15(x1431)+P17(x1431)+P1(f18(x1431))
% 8.23/8.29 [144]~P15(x1441)+P17(x1441)+P15(f19(x1441))
% 8.23/8.29 [145]~P15(x1451)+P17(x1451)+P15(f20(x1451))
% 8.23/8.29 [146]~P15(x1461)+P17(x1461)+P15(f21(x1461))
% 8.23/8.29 [147]~P15(x1471)+P19(x1471)+P1(f22(x1471))
% 8.23/8.29 [148]~P15(x1481)+P19(x1481)+P1(f23(x1481))
% 8.23/8.29 [149]~P15(x1491)+P19(x1491)+P15(f24(x1491))
% 8.23/8.29 [150]~P15(x1501)+P19(x1501)+P15(f25(x1501))
% 8.23/8.29 [151]~P15(x1511)+P19(x1511)+P15(f26(x1511))
% 8.23/8.29 [152]~P15(x1521)+P18(x1521)+P1(f31(x1521))
% 8.23/8.29 [153]~P15(x1531)+P18(x1531)+P1(f32(x1531))
% 8.23/8.29 [154]~P15(x1541)+P18(x1541)+P15(f33(x1541))
% 8.23/8.29 [155]~P15(x1551)+P18(x1551)+P15(f34(x1551))
% 8.23/8.29 [156]~P15(x1561)+P18(x1561)+P15(f35(x1561))
% 8.23/8.29 [157]~P15(x1571)+P3(x1571)+P1(f30(x1571))
% 8.23/8.29 [158]~P15(x1581)+P3(x1581)+P1(f36(x1581))
% 8.23/8.29 [159]~P15(x1591)+P3(x1591)+P15(f37(x1591))
% 8.23/8.29 [160]~P15(x1601)+P3(x1601)+P15(f38(x1601))
% 8.23/8.29 [161]~P15(x1611)+P3(x1611)+P15(f39(x1611))
% 8.23/8.29 [162]~P15(x1621)+P4(x1621)+P1(f40(x1621))
% 8.23/8.29 [163]~P15(x1631)+P4(x1631)+P1(f42(x1631))
% 8.23/8.29 [164]~P15(x1641)+P4(x1641)+P15(f43(x1641))
% 8.23/8.29 [165]~P15(x1651)+P4(x1651)+P15(f44(x1651))
% 8.23/8.29 [169]~P15(x1691)+P4(x1691)+~E(f42(x1691),f40(x1691))
% 8.23/8.29 [170]~P15(x1701)+~P5(x1701)+P1(f51(x1701))
% 8.23/8.29 [191]~P15(x1911)+P2(x1911)+P8(f5(x1911),f7(x1911))
% 8.23/8.29 [192]~P15(x1921)+P2(x1921)+P8(f7(x1921),f5(x1921))
% 8.23/8.29 [212]~P15(x2121)+P16(x2121)+~P8(f11(x2121),f12(x2121))
% 8.23/8.29 [213]~P15(x2131)+P16(x2131)+~P8(f12(x2131),f11(x2131))
% 8.23/8.29 [214]~P15(x2141)+P17(x2141)+~P12(f17(x2141),f18(x2141))
% 8.23/8.29 [215]~P15(x2151)+P17(x2151)+~P12(f18(x2151),f17(x2151))
% 8.23/8.29 [216]~P15(x2161)+P19(x2161)+~P8(f22(x2161),f23(x2161))
% 8.23/8.29 [217]~P15(x2171)+P18(x2171)+~P12(f31(x2171),f32(x2171))
% 8.23/8.29 [179]~P15(x1791)+~P5(x1791)+E(f6(f51(x1791),a46),x1791)
% 8.23/8.29 [187]~P15(x1871)+E(a46,x1871)+E(f6(f50(x1871),f56(x1871)),x1871)
% 8.23/8.29 [188]~P15(x1881)+E(a46,x1881)+E(f6(f28(x1881),f29(x1881)),x1881)
% 8.23/8.29 [277]P2(x2771)+~P15(x2771)+E(f4(f4(f8(x2771),f6(f5(x2771),f9(x2771))),f6(f7(x2771),f10(x2771))),x2771)
% 8.23/8.29 [278]P16(x2781)+~P15(x2781)+E(f4(f4(f13(x2781),f6(f11(x2781),f14(x2781))),f6(f12(x2781),f15(x2781))),x2781)
% 8.23/8.29 [279]P17(x2791)+~P15(x2791)+E(f4(f4(f19(x2791),f6(f17(x2791),f20(x2791))),f6(f18(x2791),f21(x2791))),x2791)
% 8.23/8.29 [280]P19(x2801)+~P15(x2801)+E(f4(f4(f24(x2801),f6(f22(x2801),f25(x2801))),f6(f23(x2801),f26(x2801))),x2801)
% 8.23/8.29 [281]P18(x2811)+~P15(x2811)+E(f4(f4(f33(x2811),f6(f31(x2811),f34(x2811))),f6(f32(x2811),f35(x2811))),x2811)
% 8.23/8.29 [282]P3(x2821)+~P15(x2821)+E(f4(f4(f37(x2821),f6(f30(x2821),f38(x2821))),f6(f36(x2821),f39(x2821))),x2821)
% 8.23/8.29 [275]P4(x2751)+~P15(x2751)+E(f4(f43(x2751),f6(f40(x2751),f6(f42(x2751),f44(x2751)))),x2751)
% 8.23/8.29 [189]~P1(x1891)+~P15(x1892)+~E(f6(x1891,x1892),a46)
% 8.23/8.29 [190]~P1(x1901)+~P15(x1902)+~E(f6(x1901,x1902),x1902)
% 8.23/8.29 [199]~P1(x1991)+~P15(x1992)+P15(f6(x1991,x1992))
% 8.23/8.29 [200]~P15(x2002)+~P15(x2001)+P15(f4(x2001,x2002))
% 8.23/8.29 [201]~P1(x2011)+~P15(x2012)+E(f50(f6(x2011,x2012)),x2011)
% 8.23/8.29 [202]~P1(x2021)+~P15(x2022)+E(f56(f6(x2021,x2022)),x2022)
% 8.23/8.29 [229]~P1(x2291)+~P15(x2292)+E(f4(f6(x2291,a46),x2292),f6(x2291,x2292))
% 8.23/8.29 [176]P6(x1761,x1762)+~P1(x1762)+~P1(x1761)+E(x1761,x1762)
% 8.23/8.29 [177]P6(x1771,x1772)+~P15(x1772)+~P15(x1771)+E(x1771,x1772)
% 8.23/8.29 [196]~P1(x1962)+~P1(x1961)+~P6(x1961,x1962)+~E(x1961,x1962)
% 8.23/8.29 [197]~P1(x1972)+~P1(x1971)+~P12(x1971,x1972)+~E(x1971,x1972)
% 8.23/8.29 [198]~P15(x1982)+~P15(x1981)+~P6(x1981,x1982)+~E(x1981,x1982)
% 8.23/8.29 [207]~P1(x2071)+~P1(x2072)+~P9(x2072,x2071)+P8(x2071,x2072)
% 8.23/8.30 [208]~P1(x2082)+~P1(x2081)+~P12(x2081,x2082)+P8(x2081,x2082)
% 8.23/8.30 [209]~P1(x2091)+~P1(x2092)+~P10(x2092,x2091)+P12(x2091,x2092)
% 8.23/8.30 [210]~P1(x2101)+~P1(x2102)+~P8(x2102,x2101)+P9(x2101,x2102)
% 8.23/8.30 [211]~P1(x2111)+~P1(x2112)+~P12(x2112,x2111)+P10(x2111,x2112)
% 8.23/8.30 [220]~P12(x2201,x2202)+~P12(x2202,x2201)+~P1(x2201)+~P1(x2202)
% 8.23/8.30 [221]~P10(x2211,x2212)+~P10(x2212,x2211)+~P1(x2211)+~P1(x2212)
% 8.23/8.30 [193]~P15(x1932)+~P15(x1931)+E(a46,x1931)+~E(f4(x1932,x1931),a46)
% 8.23/8.30 [194]~P15(x1942)+~P15(x1941)+E(a46,x1941)+~E(f4(x1941,x1942),a46)
% 8.23/8.30 [195]~P1(x1952)+~P15(x1951)+P5(x1951)+~E(f6(x1952,a46),x1951)
% 8.23/8.30 [204]~P1(x2041)+~P15(x2042)+~E(a46,x2042)+P19(f6(x2041,x2042))
% 8.23/8.30 [205]~P1(x2051)+~P15(x2052)+~E(a46,x2052)+P18(f6(x2051,x2052))
% 8.23/8.30 [232]~P1(x2322)+~P15(x2321)+~P11(x2321,x2322)+P15(f41(x2321,x2322))
% 8.23/8.30 [233]~P1(x2332)+~P15(x2331)+~P11(x2331,x2332)+P15(f48(x2331,x2332))
% 8.23/8.30 [234]~P15(x2342)+~P15(x2341)+~P7(x2341,x2342)+P15(f52(x2341,x2342))
% 8.23/8.30 [235]~P15(x2352)+~P15(x2351)+~P13(x2351,x2352)+P15(f53(x2351,x2352))
% 8.23/8.30 [236]~P15(x2362)+~P15(x2361)+~P14(x2361,x2362)+P15(f54(x2361,x2362))
% 8.23/8.30 [237]~P15(x2372)+~P15(x2371)+~P14(x2371,x2372)+P15(f55(x2371,x2372))
% 8.23/8.30 [206]~P15(x2062)+~P15(x2061)+E(a46,x2061)+E(f50(f4(x2061,x2062)),f50(x2061))
% 8.23/8.30 [231]~P15(x2312)+~P15(x2311)+E(a46,x2311)+E(f56(f4(x2311,x2312)),f4(f56(x2311),x2312))
% 8.23/8.30 [244]~P15(x2442)+~P15(x2441)+~P7(x2442,x2441)+E(f4(x2441,f52(x2442,x2441)),x2442)
% 8.23/8.30 [245]~P15(x2452)+~P15(x2451)+~P13(x2451,x2452)+E(f4(f53(x2451,x2452),x2452),x2451)
% 8.23/8.30 [274]~P15(x2742)+~P15(x2741)+~P14(x2741,x2742)+E(f4(f4(f54(x2741,x2742),x2742),f55(x2741,x2742)),x2741)
% 8.23/8.30 [273]~P1(x2732)+~P15(x2731)+~P11(x2731,x2732)+E(f4(f41(x2731,x2732),f6(x2732,f48(x2731,x2732))),x2731)
% 8.23/8.30 [263]~P1(x2631)+~P15(x2632)+~P15(x2633)+E(f6(x2631,f4(x2632,x2633)),f4(f6(x2631,x2632),x2633))
% 8.23/8.30 [264]~P15(x2643)+~P15(x2642)+~P15(x2641)+E(f4(f4(x2641,x2642),x2643),f4(x2641,f4(x2642,x2643)))
% 8.23/8.30 [219]P12(x2191,x2192)+~P1(x2192)+~P1(x2191)+~P8(x2191,x2192)+E(x2191,x2192)
% 8.23/8.30 [224]~P1(x2242)+~P1(x2241)+~P8(x2242,x2241)+~P8(x2241,x2242)+E(x2241,x2242)
% 8.23/8.30 [225]~P1(x2252)+~P1(x2251)+~P9(x2252,x2251)+~P9(x2251,x2252)+E(x2251,x2252)
% 8.23/8.30 [226]~P15(x2262)+~P15(x2261)+~P7(x2262,x2261)+~P7(x2261,x2262)+E(x2261,x2262)
% 8.23/8.30 [227]~P15(x2272)+~P15(x2271)+~P13(x2272,x2271)+~P13(x2271,x2272)+E(x2271,x2272)
% 8.23/8.30 [228]~P15(x2282)+~P15(x2281)+~P14(x2282,x2281)+~P14(x2281,x2282)+E(x2281,x2282)
% 8.23/8.30 [178]~P15(x1781)+~P15(x1782)+~E(a46,x1781)+~E(a46,x1782)+E(f4(x1781,x1782),a46)
% 8.23/8.30 [240]P19(x2401)+~P15(x2401)+~P1(x2402)+E(a46,x2401)+~P19(f6(x2402,x2401))
% 8.23/8.30 [241]P18(x2411)+~P15(x2411)+~P1(x2412)+E(a46,x2411)+~P18(f6(x2412,x2411))
% 8.23/8.30 [254]~P1(x2542)+~P15(x2541)+E(a46,x2541)+P8(x2542,f50(x2541))+~P19(f6(x2542,x2541))
% 8.23/8.30 [255]~P1(x2552)+~P15(x2551)+E(a46,x2551)+P12(x2552,f50(x2551))+~P18(f6(x2552,x2551))
% 8.23/8.30 [222]~P15(x2221)+~P15(x2222)+~P15(x2223)+P7(x2221,x2222)+~E(f4(x2222,x2223),x2221)
% 8.23/8.30 [223]~P15(x2231)+~P15(x2232)+~P15(x2233)+P13(x2231,x2232)+~E(f4(x2233,x2232),x2231)
% 8.23/8.30 [230]~E(x2303,x2301)+~P1(x2301)+~P1(x2303)+~P15(x2302)+P11(f6(x2301,x2302),x2303)
% 8.23/8.30 [238]~P15(x2382)+~P15(x2383)+~P15(x2381)+E(x2381,x2382)+~E(f4(x2383,x2381),f4(x2383,x2382))
% 8.23/8.30 [239]~P15(x2392)+~P15(x2393)+~P15(x2391)+E(x2391,x2392)+~E(f4(x2391,x2393),f4(x2392,x2393))
% 8.23/8.30 [256]~P1(x2561)+~P1(x2563)+~P15(x2562)+~P11(x2562,x2563)+P11(f6(x2561,x2562),x2563)
% 8.23/8.30 [257]~P1(x2573)+~P15(x2571)+~P15(x2572)+~P11(x2572,x2573)+P11(f4(x2571,x2572),x2573)
% 8.23/8.30 [258]~P1(x2583)+~P15(x2582)+~P15(x2581)+~P11(x2581,x2583)+P11(f4(x2581,x2582),x2583)
% 8.23/8.30 [259]~P15(x2592)+~P15(x2593)+~P15(x2591)+~P7(x2591,x2593)+P7(f4(x2591,x2592),x2593)
% 8.23/8.30 [260]~P15(x2601)+~P15(x2603)+~P15(x2602)+~P13(x2602,x2603)+P13(f4(x2601,x2602),x2603)
% 8.23/8.30 [261]~P1(x2612)+~P15(x2611)+~P19(x2611)+~P8(x2612,f50(x2611))+E(a46,x2611)+P19(f6(x2612,x2611))
% 8.23/8.30 [262]~P1(x2622)+~P15(x2621)+~P18(x2621)+~P12(x2622,f50(x2621))+E(a46,x2621)+P18(f6(x2622,x2621))
% 8.23/8.30 [246]~P15(x2462)+~P15(x2461)+~P7(x2463,x2462)+~P7(x2461,x2463)+P7(x2461,x2462)+~P15(x2463)
% 8.23/8.30 [247]~P15(x2472)+~P15(x2471)+~P13(x2473,x2472)+~P13(x2471,x2473)+P13(x2471,x2472)+~P15(x2473)
% 8.23/8.30 [248]~P15(x2482)+~P15(x2481)+~P14(x2483,x2482)+~P14(x2481,x2483)+P14(x2481,x2482)+~P15(x2483)
% 8.23/8.30 [249]~P1(x2492)+~P1(x2491)+~P8(x2493,x2492)+~P8(x2491,x2493)+P8(x2491,x2492)+~P1(x2493)
% 8.23/8.30 [250]~P1(x2502)+~P1(x2501)+~P8(x2501,x2503)+~P12(x2503,x2502)+P12(x2501,x2502)+~P1(x2503)
% 8.23/8.30 [251]~P1(x2512)+~P1(x2511)+~P12(x2513,x2512)+~P12(x2511,x2513)+P12(x2511,x2512)+~P1(x2513)
% 8.23/8.30 [252]~P1(x2522)+~P1(x2521)+~P9(x2523,x2522)+~P9(x2521,x2523)+P9(x2521,x2522)+~P1(x2523)
% 8.23/8.30 [253]~P1(x2532)+~P1(x2531)+~P10(x2533,x2532)+~P10(x2531,x2533)+P10(x2531,x2532)+~P1(x2533)
% 8.23/8.30 [265]~P1(x2652)+~P1(x2651)+~P15(x2653)+E(x2651,x2652)+P11(x2653,x2652)+~P11(f6(x2651,x2653),x2652)
% 8.23/8.30 [268]~P1(x2682)+~P15(x2681)+~P15(x2683)+P11(x2681,x2682)+P11(x2683,x2682)+~P11(f4(x2683,x2681),x2682)
% 8.23/8.30 [242]~P1(x2424)+~P1(x2423)+~P15(x2422)+~P15(x2421)+E(x2421,x2422)+~E(f6(x2423,x2422),f6(x2424,x2421))
% 8.23/8.30 [243]~P1(x2432)+~P1(x2431)+~P15(x2434)+~P15(x2433)+E(x2431,x2432)+~E(f6(x2431,x2433),f6(x2432,x2434))
% 8.23/8.30 [270]~P1(x2702)+~P1(x2701)+E(x2701,x2702)+~P15(x2703)+~P15(x2704)+~P7(f6(x2701,x2704),f6(x2702,x2703))
% 8.23/8.30 [272]~P15(x2722)+~P15(x2721)+P7(x2721,x2722)+~P1(x2723)+~P1(x2724)+~P7(f6(x2724,x2721),f6(x2723,x2722))
% 8.23/8.30 [266]~P1(x2662)+~P15(x2661)+~P15(x2664)+~P15(x2663)+P11(x2661,x2662)+~E(f4(x2663,f6(x2662,x2664)),x2661)
% 8.23/8.30 [267]~P15(x2671)+~P15(x2672)+~P15(x2674)+~P15(x2673)+P14(x2671,x2672)+~E(f4(f4(x2673,x2672),x2674),x2671)
% 8.23/8.30 [271]~P15(x2713)+~P15(x2711)+~P15(x2714)+~P15(x2712)+~P14(x2712,x2714)+P14(f4(f4(x2711,x2712),x2713),x2714)
% 8.23/8.30 [203]~P15(x2032)+~P15(x2031)+E(x2031,x2032)+E(a46,x2032)+E(a46,x2031)+~E(f50(x2031),f50(x2032))+~E(f56(x2031),f56(x2032))
% 8.23/8.30 [269]~E(x2691,x2693)+~P1(x2693)+~P1(x2691)+~P15(x2694)+~P15(x2692)+~P7(x2692,x2694)+P7(f6(x2691,x2692),f6(x2693,x2694))
% 8.23/8.30 [276]~P1(x2762)+~P1(x2761)+~P15(x2764)+~P15(x2763)+~P15(x2765)+~P4(x2765)+E(x2761,x2762)+~E(f4(x2763,f6(x2761,f6(x2762,x2764))),x2765)
% 8.23/8.30 [283]~P1(x2832)+~P1(x2831)+~P15(x2835)+~P15(x2834)+~P15(x2833)+~P15(x2836)+~P3(x2836)+~E(x2831,x2832)+~E(f4(f4(x2833,f6(x2831,x2834)),f6(x2832,x2835)),x2836)
% 8.23/8.30 [284]~P1(x2842)+~P1(x2841)+~P15(x2845)+~P15(x2844)+~P15(x2843)+~P15(x2846)+~P19(x2846)+P8(x2841,x2842)+~E(f4(f4(x2843,f6(x2841,x2844)),f6(x2842,x2845)),x2846)
% 8.23/8.30 [285]~P1(x2852)+~P1(x2851)+~P15(x2855)+~P15(x2854)+~P15(x2853)+~P15(x2856)+~P18(x2856)+P12(x2851,x2852)+~E(f4(f4(x2853,f6(x2851,x2854)),f6(x2852,x2855)),x2856)
% 8.23/8.30 [286]P8(x2862,x2861)+~P1(x2861)+~P1(x2862)+~P15(x2865)+~P15(x2864)+~P15(x2863)+~P15(x2866)+~P16(x2866)+P8(x2861,x2862)+~E(f4(f4(x2863,f6(x2862,x2864)),f6(x2861,x2865)),x2866)
% 8.23/8.30 [287]P12(x2872,x2871)+~P1(x2871)+~P1(x2872)+~P15(x2875)+~P15(x2874)+~P15(x2873)+~P15(x2876)+~P17(x2876)+P12(x2871,x2872)+~E(f4(f4(x2873,f6(x2872,x2874)),f6(x2871,x2875)),x2876)
% 8.23/8.30 [288]~P1(x2884)+~P1(x2882)+~P15(x2885)+~P15(x2883)+~P15(x2881)+~P15(x2886)+~P2(x2886)+~P8(x2884,x2882)+~P8(x2882,x2884)+~E(f4(f4(x2881,f6(x2882,x2883)),f6(x2884,x2885)),x2886)
% 8.23/8.30 %EqnAxiom
% 8.23/8.30 [1]E(x11,x11)
% 8.23/8.30 [2]E(x22,x21)+~E(x21,x22)
% 8.23/8.30 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 8.23/8.30 [4]~E(x41,x42)+E(f50(x41),f50(x42))
% 8.23/8.30 [5]~E(x51,x52)+E(f27(x51),f27(x52))
% 8.23/8.30 [6]~E(x61,x62)+E(f56(x61),f56(x62))
% 8.23/8.30 [7]~E(x71,x72)+E(f45(x71),f45(x72))
% 8.23/8.30 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 8.23/8.30 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 8.23/8.30 [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 8.23/8.30 [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 8.23/8.30 [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 8.23/8.30 [13]~E(x131,x132)+E(f44(x131),f44(x132))
% 8.23/8.30 [14]~E(x141,x142)+E(f29(x141),f29(x142))
% 8.23/8.30 [15]~E(x151,x152)+E(f42(x151),f42(x152))
% 8.23/8.30 [16]~E(x161,x162)+E(f30(x161),f30(x162))
% 8.23/8.30 [17]~E(x171,x172)+E(f36(x171),f36(x172))
% 8.23/8.30 [18]~E(x181,x182)+E(f40(x181),f40(x182))
% 8.23/8.30 [19]~E(x191,x192)+E(f43(x191),f43(x192))
% 8.23/8.30 [20]~E(x201,x202)+E(f5(x201),f5(x202))
% 8.23/8.30 [21]~E(x211,x212)+E(f7(x211),f7(x212))
% 8.23/8.30 [22]~E(x221,x222)+E(f8(x221),f8(x222))
% 8.23/8.30 [23]~E(x231,x232)+E(f9(x231),f9(x232))
% 8.23/8.30 [24]~E(x241,x242)+E(f10(x241),f10(x242))
% 8.23/8.30 [25]~E(x251,x252)+E(f11(x251),f11(x252))
% 8.23/8.30 [26]~E(x261,x262)+E(f12(x261),f12(x262))
% 8.23/8.30 [27]~E(x271,x272)+E(f13(x271),f13(x272))
% 8.23/8.30 [28]~E(x281,x282)+E(f14(x281),f14(x282))
% 8.23/8.30 [29]~E(x291,x292)+E(f15(x291),f15(x292))
% 8.23/8.30 [30]~E(x301,x302)+E(f17(x301),f17(x302))
% 8.23/8.30 [31]~E(x311,x312)+E(f18(x311),f18(x312))
% 8.23/8.30 [32]~E(x321,x322)+E(f19(x321),f19(x322))
% 8.23/8.30 [33]~E(x331,x332)+E(f20(x331),f20(x332))
% 8.23/8.30 [34]~E(x341,x342)+E(f21(x341),f21(x342))
% 8.23/8.30 [35]~E(x351,x352)+E(f22(x351),f22(x352))
% 8.23/8.30 [36]~E(x361,x362)+E(f23(x361),f23(x362))
% 8.23/8.30 [37]~E(x371,x372)+E(f24(x371),f24(x372))
% 8.23/8.30 [38]~E(x381,x382)+E(f25(x381),f25(x382))
% 8.23/8.30 [39]~E(x391,x392)+E(f26(x391),f26(x392))
% 8.23/8.30 [40]~E(x401,x402)+E(f31(x401),f31(x402))
% 8.23/8.30 [41]~E(x411,x412)+E(f32(x411),f32(x412))
% 8.23/8.30 [42]~E(x421,x422)+E(f33(x421),f33(x422))
% 8.23/8.30 [43]~E(x431,x432)+E(f34(x431),f34(x432))
% 8.23/8.30 [44]~E(x441,x442)+E(f35(x441),f35(x442))
% 8.23/8.30 [45]~E(x451,x452)+E(f53(x451,x453),f53(x452,x453))
% 8.23/8.30 [46]~E(x461,x462)+E(f53(x463,x461),f53(x463,x462))
% 8.23/8.30 [47]~E(x471,x472)+E(f37(x471),f37(x472))
% 8.23/8.30 [48]~E(x481,x482)+E(f41(x481,x483),f41(x482,x483))
% 8.23/8.30 [49]~E(x491,x492)+E(f41(x493,x491),f41(x493,x492))
% 8.23/8.30 [50]~E(x501,x502)+E(f38(x501),f38(x502))
% 8.23/8.30 [51]~E(x511,x512)+E(f39(x511),f39(x512))
% 8.23/8.30 [52]~E(x521,x522)+E(f54(x521,x523),f54(x522,x523))
% 8.23/8.30 [53]~E(x531,x532)+E(f54(x533,x531),f54(x533,x532))
% 8.23/8.30 [54]~E(x541,x542)+E(f48(x541,x543),f48(x542,x543))
% 8.23/8.30 [55]~E(x551,x552)+E(f48(x553,x551),f48(x553,x552))
% 8.23/8.30 [56]~E(x561,x562)+E(f55(x561,x563),f55(x562,x563))
% 8.23/8.30 [57]~E(x571,x572)+E(f55(x573,x571),f55(x573,x572))
% 8.23/8.30 [58]~E(x581,x582)+E(f52(x581,x583),f52(x582,x583))
% 8.23/8.30 [59]~E(x591,x592)+E(f52(x593,x591),f52(x593,x592))
% 8.23/8.30 [60]~E(x601,x602)+E(f51(x601),f51(x602))
% 8.23/8.30 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 8.23/8.30 [62]P8(x622,x623)+~E(x621,x622)+~P8(x621,x623)
% 8.23/8.30 [63]P8(x633,x632)+~E(x631,x632)+~P8(x633,x631)
% 8.23/8.30 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 8.23/8.30 [65]P11(x652,x653)+~E(x651,x652)+~P11(x651,x653)
% 8.23/8.30 [66]P11(x663,x662)+~E(x661,x662)+~P11(x663,x661)
% 8.23/8.30 [67]~P18(x671)+P18(x672)+~E(x671,x672)
% 8.23/8.30 [68]~P3(x681)+P3(x682)+~E(x681,x682)
% 8.23/8.30 [69]~P4(x691)+P4(x692)+~E(x691,x692)
% 8.23/8.30 [70]~P2(x701)+P2(x702)+~E(x701,x702)
% 8.23/8.30 [71]~P16(x711)+P16(x712)+~E(x711,x712)
% 8.23/8.30 [72]~P17(x721)+P17(x722)+~E(x721,x722)
% 8.23/8.30 [73]~P19(x731)+P19(x732)+~E(x731,x732)
% 8.23/8.30 [74]P6(x742,x743)+~E(x741,x742)+~P6(x741,x743)
% 8.23/8.30 [75]P6(x753,x752)+~E(x751,x752)+~P6(x753,x751)
% 8.23/8.30 [76]P7(x762,x763)+~E(x761,x762)+~P7(x761,x763)
% 8.23/8.30 [77]P7(x773,x772)+~E(x771,x772)+~P7(x773,x771)
% 8.23/8.30 [78]P13(x782,x783)+~E(x781,x782)+~P13(x781,x783)
% 8.23/8.30 [79]P13(x793,x792)+~E(x791,x792)+~P13(x793,x791)
% 8.23/8.30 [80]~P5(x801)+P5(x802)+~E(x801,x802)
% 8.23/8.30 [81]P9(x812,x813)+~E(x811,x812)+~P9(x811,x813)
% 8.23/8.30 [82]P9(x823,x822)+~E(x821,x822)+~P9(x823,x821)
% 8.23/8.30 [83]P12(x832,x833)+~E(x831,x832)+~P12(x831,x833)
% 8.23/8.30 [84]P12(x843,x842)+~E(x841,x842)+~P12(x843,x841)
% 8.23/8.30 [85]P14(x852,x853)+~E(x851,x852)+~P14(x851,x853)
% 8.23/8.30 [86]P14(x863,x862)+~E(x861,x862)+~P14(x863,x861)
% 8.23/8.30 [87]P10(x872,x873)+~E(x871,x872)+~P10(x871,x873)
% 8.23/8.30 [88]P10(x883,x882)+~E(x881,x882)+~P10(x883,x881)
% 8.23/8.30
% 8.23/8.30 %-------------------------------------------
% 8.23/8.30 cnf(293,plain,
% 8.23/8.30 (~P6(x2931,x2931)+~P1(x2931)+~P1(x2931)),
% 8.23/8.30 inference(equality_inference,[],[196])).
% 8.23/8.30 cnf(295,plain,
% 8.23/8.30 (~P6(x2951,x2951)+~P15(x2951)+~P15(x2951)),
% 8.23/8.30 inference(equality_inference,[],[198])).
% 8.23/8.30 cnf(307,plain,
% 8.23/8.30 (~P1(x3071)+~P1(x3071)+~P7(x3072,x3073)+~P15(x3073)+~P15(x3072)+P7(f6(x3071,x3072),f6(x3071,x3073))),
% 8.23/8.30 inference(equality_inference,[],[269])).
% 8.23/8.30 cnf(314,plain,
% 8.23/8.30 (E(a46,a1)),
% 8.23/8.30 inference(scs_inference,[],[89,2])).
% 8.23/8.30 cnf(322,plain,
% 8.23/8.30 (P18(a1)),
% 8.23/8.30 inference(scs_inference,[],[89,95,107,92,103,2,175,293,295,3,67])).
% 8.23/8.30 cnf(323,plain,
% 8.23/8.30 (P3(a1)),
% 8.23/8.30 inference(scs_inference,[],[89,95,107,92,103,104,2,175,293,295,3,67,68])).
% 8.23/8.30 cnf(324,plain,
% 8.23/8.30 (P4(a1)),
% 8.23/8.30 inference(scs_inference,[],[89,95,107,92,103,104,105,2,175,293,295,3,67,68,69])).
% 8.23/8.30 cnf(325,plain,
% 8.23/8.30 (P2(a1)),
% 8.23/8.30 inference(scs_inference,[],[89,95,107,92,99,103,104,105,2,175,293,295,3,67,68,69,70])).
% 8.23/8.30 cnf(326,plain,
% 8.23/8.30 (P16(a1)),
% 8.23/8.30 inference(scs_inference,[],[89,95,107,92,99,100,103,104,105,2,175,293,295,3,67,68,69,70,71])).
% 8.23/8.30 cnf(327,plain,
% 8.23/8.30 (P17(a1)),
% 8.23/8.30 inference(scs_inference,[],[89,95,107,92,99,100,101,103,104,105,2,175,293,295,3,67,68,69,70,71,72])).
% 8.23/8.30 cnf(328,plain,
% 8.23/8.30 (P19(a1)),
% 8.23/8.30 inference(scs_inference,[],[89,95,107,92,99,100,101,102,103,104,105,2,175,293,295,3,67,68,69,70,71,72,73])).
% 8.23/8.30 cnf(336,plain,
% 8.23/8.30 (P14(a1,a1)),
% 8.23/8.30 inference(scs_inference,[],[89,95,96,107,92,99,100,101,102,103,104,105,108,2,175,293,295,3,67,68,69,70,71,72,73,80,166,167,168,85])).
% 8.23/8.30 cnf(339,plain,
% 8.23/8.30 (P7(a1,a1)),
% 8.23/8.30 inference(scs_inference,[],[89,95,96,107,92,99,100,101,102,103,104,105,108,2,175,293,295,3,67,68,69,70,71,72,73,80,166,167,168,85,86,61,76])).
% 8.23/8.30 cnf(340,plain,
% 8.23/8.30 (P7(a46,a46)),
% 8.23/8.30 inference(scs_inference,[],[89,95,96,107,92,99,100,101,102,103,104,105,108,2,175,293,295,3,67,68,69,70,71,72,73,80,166,167,168,85,86,61,76,77])).
% 8.23/8.30 cnf(341,plain,
% 8.23/8.30 (P13(a1,a1)),
% 8.23/8.30 inference(scs_inference,[],[89,95,96,107,92,99,100,101,102,103,104,105,108,2,175,293,295,3,67,68,69,70,71,72,73,80,166,167,168,85,86,61,76,77,78])).
% 8.23/8.30 cnf(357,plain,
% 8.23/8.30 (E(a47,a2)),
% 8.23/8.30 inference(scs_inference,[],[90,93,175,2])).
% 8.23/8.30 cnf(362,plain,
% 8.23/8.30 (~P6(a47,a47)),
% 8.23/8.30 inference(scs_inference,[],[89,90,91,97,323,341,93,175,2,293,79,68,295])).
% 8.23/8.30 cnf(379,plain,
% 8.23/8.30 (P7(a46,a49)),
% 8.23/8.30 inference(scs_inference,[],[89,90,91,97,98,96,314,339,340,322,323,324,325,326,327,328,341,93,336,175,2,293,79,68,295,71,72,76,86,69,73,67,70,3,307,167,168,166])).
% 8.23/8.30 cnf(418,plain,
% 8.23/8.30 (~P6(a46,a46)),
% 8.23/8.30 inference(scs_inference,[],[94,295])).
% 8.23/8.30 cnf(583,plain,
% 8.23/8.30 (~P7(a49,a47)+E(a46,a47)),
% 8.23/8.30 inference(scs_inference,[],[97,98,94,379,246,172])).
% 8.23/8.30 cnf(1126,plain,
% 8.23/8.30 (P7(a47,a46)),
% 8.23/8.30 inference(scs_inference,[],[90,95,121,64])).
% 8.23/8.30 cnf(1127,plain,
% 8.23/8.30 (P7(a2,a46)),
% 8.23/8.30 inference(scs_inference,[],[357,1126,76])).
% 8.23/8.30 cnf(1611,plain,
% 8.23/8.30 (P6(a47,a46)),
% 8.23/8.30 inference(scs_inference,[],[107,90,109,3])).
% 8.23/8.30 cnf(1620,plain,
% 8.23/8.30 ($false),
% 8.23/8.30 inference(scs_inference,[],[90,95,98,1611,1127,362,418,94,379,74,75,3,226,246,110,583]),
% 8.23/8.30 ['proof']).
% 8.23/8.30 % SZS output end Proof
% 8.23/8.30 % Total time :7.560000s
%------------------------------------------------------------------------------