%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC287+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 16:14:53 EDT 2024
% Result : Theorem 14.19s 14.28s
% Output : CNFRefutation 14.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SWC287+1 : TPTP v8.2.0. Released v2.4.0.
% 0.02/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Thu Jun 20 04:38:53 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.14/0.45 start to proof:theBenchmark
% 14.14/14.27 %-------------------------------------------
% 14.14/14.27 % File :CSE---1.7
% 14.14/14.27 % Problem :theBenchmark
% 14.14/14.27 % Transform :cnf
% 14.14/14.27 % Format :tptp:raw
% 14.14/14.27 % Command :java -jar mcs_scs.jar %d %s
% 14.14/14.27
% 14.14/14.27 % Result :Theorem 13.710000s
% 14.14/14.27 % Output :CNFRefutation 13.710000s
% 14.14/14.27 %-------------------------------------------
% 14.19/14.27 %--------------------------------------------------------------------------
% 14.19/14.27 % File : SWC287+1 : TPTP v8.2.0. Released v2.4.0.
% 14.19/14.27 % Domain : Software Creation
% 14.19/14.27 % Problem : cond_pst_strict_sorted1_x_minimal
% 14.19/14.27 % Version : [Wei00] axioms.
% 14.19/14.27 % English : Find components in a software library that match a given target
% 14.19/14.27 % specification given in first-order logic. The components are
% 14.19/14.27 % specified in first-order logic as well. The problem represents
% 14.19/14.27 % a test of one library module specification against a target
% 14.19/14.27 % specification.
% 14.19/14.27
% 14.19/14.27 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 14.19/14.27 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 14.19/14.27 % Source : [Wei00]
% 14.19/14.27 % Names : cond_pst_strict_sorted1_x_minimal [Wei00]
% 14.19/14.27
% 14.19/14.27 % Status : Theorem
% 14.19/14.27 % Rating : 0.22 v8.2.0, 0.19 v8.1.0, 0.25 v7.5.0, 0.28 v7.4.0, 0.20 v7.3.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.22 v7.0.0, 0.13 v6.4.0, 0.19 v6.3.0, 0.21 v6.2.0, 0.28 v6.1.0, 0.33 v6.0.0, 0.30 v5.5.0, 0.41 v5.4.0, 0.46 v5.3.0, 0.48 v5.2.0, 0.35 v5.1.0, 0.38 v4.1.0, 0.39 v4.0.0, 0.42 v3.7.0, 0.35 v3.5.0, 0.32 v3.4.0, 0.37 v3.3.0, 0.36 v3.1.0, 0.56 v2.7.0, 0.50 v2.4.0
% 14.19/14.27 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 14.19/14.27 % Number of atoms : 410 ( 77 equ)
% 14.19/14.27 % Maximal formula atoms : 16 ( 4 avg)
% 14.19/14.27 % Number of connectives : 347 ( 33 ~; 16 |; 42 &)
% 14.19/14.27 % ( 26 <=>; 230 =>; 0 <=; 0 <~>)
% 14.19/14.27 % Maximal formula depth : 21 ( 7 avg)
% 14.19/14.27 % Maximal term depth : 4 ( 1 avg)
% 14.19/14.27 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 14.19/14.27 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 14.19/14.27 % Number of variables : 209 ( 195 !; 14 ?)
% 14.19/14.27 % SPC : FOF_THM_RFO_SEQ
% 14.19/14.27
% 14.19/14.27 % Comments :
% 14.19/14.27 %--------------------------------------------------------------------------
% 14.19/14.28 %----Include list specification axioms
% 14.19/14.28 include('Axioms/SWC001+0.ax').
% 14.19/14.28 %--------------------------------------------------------------------------
% 14.19/14.28 fof(co1,conjecture,
% 14.19/14.28 ! [U] :
% 14.19/14.28 ( ssList(U)
% 14.19/14.28 => ! [V] :
% 14.19/14.28 ( ssList(V)
% 14.19/14.28 => ! [W] :
% 14.19/14.28 ( ssList(W)
% 14.19/14.28 => ! [X] :
% 14.19/14.28 ( ~ ssList(X)
% 14.19/14.28 | V != X
% 14.19/14.28 | U != W
% 14.19/14.28 | strictorderedP(U)
% 14.19/14.28 | ( ! [Y] :
% 14.19/14.28 ( ~ ssItem(Y)
% 14.19/14.28 | cons(Y,nil) != W
% 14.19/14.28 | ~ memberP(X,Y)
% 14.19/14.28 | ? [Z] :
% 14.19/14.28 ( ssItem(Z)
% 14.19/14.28 & Y != Z
% 14.19/14.28 & memberP(X,Z)
% 14.19/14.28 & leq(Z,Y) ) )
% 14.19/14.28 & ( nil != X
% 14.19/14.28 | nil != W ) ) ) ) ) ) ).
% 14.19/14.28
% 14.19/14.28 %--------------------------------------------------------------------------
% 14.19/14.28 %-------------------------------------------
% 14.19/14.28 % Proof found
% 14.19/14.28 % SZS status Theorem for theBenchmark
% 14.19/14.28 % SZS output start Proof
% 14.19/14.28 %ClaNum:291(EqnAxiom:88)
% 14.19/14.28 %VarNum:1016(SingletonVarNum:329)
% 14.19/14.28 %MaxLitNum:10
% 14.19/14.28 %MaxfuncDepth:4
% 14.19/14.28 %SharedTerms:33
% 14.19/14.28 %goalClause: 89 90 94 95 96 97 107 108 109 110 111 112 113 208 209
% 14.19/14.28 %singleGoalClaCount:7
% 14.19/14.28 [89]E(a1,a2)
% 14.19/14.28 [90]E(a46,a48)
% 14.19/14.28 [91]P1(a3)
% 14.19/14.28 [92]P1(a16)
% 14.19/14.28 [93]P15(a49)
% 14.19/14.28 [94]P15(a2)
% 14.19/14.28 [95]P15(a46)
% 14.19/14.28 [96]P15(a1)
% 14.19/14.28 [97]P15(a48)
% 14.19/14.28 [98]P2(a49)
% 14.19/14.28 [99]P16(a49)
% 14.19/14.28 [100]P17(a49)
% 14.19/14.28 [101]P19(a49)
% 14.19/14.28 [102]P18(a49)
% 14.19/14.28 [103]P3(a49)
% 14.19/14.28 [104]P4(a49)
% 14.19/14.28 [105]~E(a16,a3)
% 14.19/14.28 [106]~P5(a49)
% 14.19/14.28 [107]~P18(a2)
% 14.19/14.28 [108]E(a1,a49)+P1(a50)
% 14.19/14.28 [109]E(a49,a48)+P1(a50)
% 14.19/14.28 [112]E(a1,a49)+P6(a48,a50)
% 14.19/14.28 [113]E(a49,a48)+P6(a48,a50)
% 14.19/14.28 [110]E(a1,a49)+E(f4(a50,a49),a1)
% 14.19/14.28 [111]E(a49,a48)+E(f4(a50,a49),a1)
% 14.19/14.28 [122]~P15(x1221)+P7(x1221,a49)
% 14.19/14.28 [123]~P15(x1231)+P12(x1231,a49)
% 14.19/14.28 [124]~P15(x1241)+P14(x1241,a49)
% 14.19/14.28 [128]~P15(x1281)+P7(x1281,x1281)
% 14.19/14.28 [129]~P15(x1291)+P12(x1291,x1291)
% 14.19/14.28 [130]~P15(x1301)+P14(x1301,x1301)
% 14.19/14.28 [131]~P1(x1311)+P8(x1311,x1311)
% 14.19/14.28 [132]~P1(x1321)+P9(x1321,x1321)
% 14.19/14.28 [172]~P1(x1721)+~P6(a49,x1721)
% 14.19/14.28 [176]~P11(x1761,x1761)+~P1(x1761)
% 14.19/14.28 [126]~P15(x1261)+E(f5(x1261,a49),x1261)
% 14.19/14.28 [127]~P15(x1271)+E(f5(a49,x1271),x1271)
% 14.19/14.28 [181]~P1(x1811)+P2(f4(x1811,a49))
% 14.19/14.28 [182]~P1(x1821)+P16(f4(x1821,a49))
% 14.19/14.28 [183]~P1(x1831)+P17(f4(x1831,a49))
% 14.19/14.28 [184]~P1(x1841)+P19(f4(x1841,a49))
% 14.19/14.28 [185]~P1(x1851)+P18(f4(x1851,a49))
% 14.19/14.28 [186]~P1(x1861)+P3(f4(x1861,a49))
% 14.19/14.28 [187]~P1(x1871)+P4(f4(x1871,a49))
% 14.19/14.28 [167]~P15(x1671)+~E(a49,x1671)+P7(a49,x1671)
% 14.19/14.28 [168]~P15(x1681)+~E(a49,x1681)+P12(a49,x1681)
% 14.19/14.28 [169]~P15(x1691)+~E(a49,x1691)+P14(a49,x1691)
% 14.19/14.28 [173]~P15(x1731)+~P7(a49,x1731)+E(a49,x1731)
% 14.19/14.28 [174]~P15(x1741)+~P12(a49,x1741)+E(a49,x1741)
% 14.19/14.28 [175]~P15(x1751)+~P14(a49,x1751)+E(a49,x1751)
% 14.19/14.28 [114]~P15(x1141)+E(f51(x1141),f27(x1141))+E(a49,x1141)
% 14.19/14.28 [115]~P15(x1151)+E(f57(x1151),f45(x1151))+E(a49,x1151)
% 14.19/14.28 [116]~P15(x1161)+E(a49,x1161)+P1(f51(x1161))
% 14.19/14.28 [117]~P15(x1171)+E(a49,x1171)+P1(f28(x1171))
% 14.19/14.28 [118]~P15(x1181)+E(a49,x1181)+P1(f27(x1181))
% 14.19/14.28 [119]~P15(x1191)+E(a49,x1191)+P15(f57(x1191))
% 14.19/14.28 [120]~P15(x1201)+E(a49,x1201)+P15(f29(x1201))
% 14.19/14.28 [121]~P15(x1211)+E(a49,x1211)+P15(f45(x1211))
% 14.19/14.28 [125]P3(x1251)+~P15(x1251)+E(f30(x1251),f36(x1251))
% 14.19/14.28 [133]~P15(x1331)+P2(x1331)+P1(f6(x1331))
% 14.19/14.28 [134]~P15(x1341)+P2(x1341)+P1(f7(x1341))
% 14.19/14.28 [135]~P15(x1351)+P2(x1351)+P15(f8(x1351))
% 14.19/14.28 [136]~P15(x1361)+P2(x1361)+P15(f9(x1361))
% 14.19/14.28 [137]~P15(x1371)+P2(x1371)+P15(f10(x1371))
% 14.19/14.28 [138]~P15(x1381)+P16(x1381)+P1(f11(x1381))
% 14.19/14.28 [139]~P15(x1391)+P16(x1391)+P1(f12(x1391))
% 14.19/14.28 [140]~P15(x1401)+P16(x1401)+P15(f13(x1401))
% 14.19/14.28 [141]~P15(x1411)+P16(x1411)+P15(f14(x1411))
% 14.19/14.28 [142]~P15(x1421)+P16(x1421)+P15(f15(x1421))
% 14.19/14.28 [143]~P15(x1431)+P17(x1431)+P1(f17(x1431))
% 14.19/14.28 [144]~P15(x1441)+P17(x1441)+P1(f18(x1441))
% 14.19/14.28 [145]~P15(x1451)+P17(x1451)+P15(f19(x1451))
% 14.19/14.28 [146]~P15(x1461)+P17(x1461)+P15(f20(x1461))
% 14.19/14.28 [147]~P15(x1471)+P17(x1471)+P15(f21(x1471))
% 14.19/14.28 [148]~P15(x1481)+P19(x1481)+P1(f22(x1481))
% 14.19/14.28 [149]~P15(x1491)+P19(x1491)+P1(f23(x1491))
% 14.19/14.28 [150]~P15(x1501)+P19(x1501)+P15(f24(x1501))
% 14.19/14.28 [151]~P15(x1511)+P19(x1511)+P15(f25(x1511))
% 14.19/14.28 [152]~P15(x1521)+P19(x1521)+P15(f26(x1521))
% 14.19/14.28 [153]~P15(x1531)+P18(x1531)+P1(f31(x1531))
% 14.19/14.28 [154]~P15(x1541)+P18(x1541)+P1(f32(x1541))
% 14.19/14.28 [155]~P15(x1551)+P18(x1551)+P15(f33(x1551))
% 14.19/14.28 [156]~P15(x1561)+P18(x1561)+P15(f34(x1561))
% 14.19/14.28 [157]~P15(x1571)+P18(x1571)+P15(f35(x1571))
% 14.19/14.28 [158]~P15(x1581)+P3(x1581)+P1(f30(x1581))
% 14.19/14.28 [159]~P15(x1591)+P3(x1591)+P1(f36(x1591))
% 14.19/14.28 [160]~P15(x1601)+P3(x1601)+P15(f37(x1601))
% 14.19/14.28 [161]~P15(x1611)+P3(x1611)+P15(f38(x1611))
% 14.19/14.28 [162]~P15(x1621)+P3(x1621)+P15(f39(x1621))
% 14.19/14.28 [163]~P15(x1631)+P4(x1631)+P1(f40(x1631))
% 14.19/14.28 [164]~P15(x1641)+P4(x1641)+P1(f42(x1641))
% 14.19/14.28 [165]~P15(x1651)+P4(x1651)+P15(f43(x1651))
% 14.19/14.28 [166]~P15(x1661)+P4(x1661)+P15(f44(x1661))
% 14.19/14.28 [170]~P15(x1701)+P4(x1701)+~E(f42(x1701),f40(x1701))
% 14.19/14.28 [171]~P15(x1711)+~P5(x1711)+P1(f52(x1711))
% 14.19/14.28 [192]~P15(x1921)+P2(x1921)+P8(f6(x1921),f7(x1921))
% 14.19/14.28 [193]~P15(x1931)+P2(x1931)+P8(f7(x1931),f6(x1931))
% 14.19/14.28 [215]~P15(x2151)+P16(x2151)+~P8(f11(x2151),f12(x2151))
% 14.19/14.28 [216]~P15(x2161)+P16(x2161)+~P8(f12(x2161),f11(x2161))
% 14.19/14.28 [217]~P15(x2171)+P17(x2171)+~P11(f17(x2171),f18(x2171))
% 14.19/14.28 [218]~P15(x2181)+P17(x2181)+~P11(f18(x2181),f17(x2181))
% 14.19/14.28 [219]~P15(x2191)+P19(x2191)+~P8(f22(x2191),f23(x2191))
% 14.19/14.28 [220]~P15(x2201)+P18(x2201)+~P11(f31(x2201),f32(x2201))
% 14.19/14.28 [180]~P15(x1801)+~P5(x1801)+E(f4(f52(x1801),a49),x1801)
% 14.19/14.28 [188]~P15(x1881)+E(a49,x1881)+E(f4(f51(x1881),f57(x1881)),x1881)
% 14.19/14.28 [189]~P15(x1891)+E(a49,x1891)+E(f4(f28(x1891),f29(x1891)),x1891)
% 14.19/14.28 [280]P2(x2801)+~P15(x2801)+E(f5(f5(f8(x2801),f4(f6(x2801),f9(x2801))),f4(f7(x2801),f10(x2801))),x2801)
% 14.19/14.28 [281]P16(x2811)+~P15(x2811)+E(f5(f5(f13(x2811),f4(f11(x2811),f14(x2811))),f4(f12(x2811),f15(x2811))),x2811)
% 14.19/14.28 [282]P17(x2821)+~P15(x2821)+E(f5(f5(f19(x2821),f4(f17(x2821),f20(x2821))),f4(f18(x2821),f21(x2821))),x2821)
% 14.19/14.28 [283]P19(x2831)+~P15(x2831)+E(f5(f5(f24(x2831),f4(f22(x2831),f25(x2831))),f4(f23(x2831),f26(x2831))),x2831)
% 14.19/14.28 [284]P18(x2841)+~P15(x2841)+E(f5(f5(f33(x2841),f4(f31(x2841),f34(x2841))),f4(f32(x2841),f35(x2841))),x2841)
% 14.19/14.28 [285]P3(x2851)+~P15(x2851)+E(f5(f5(f37(x2851),f4(f30(x2851),f38(x2851))),f4(f36(x2851),f39(x2851))),x2851)
% 14.19/14.28 [278]P4(x2781)+~P15(x2781)+E(f5(f43(x2781),f4(f40(x2781),f4(f42(x2781),f44(x2781)))),x2781)
% 14.19/14.28 [190]~P1(x1901)+~P15(x1902)+~E(f4(x1901,x1902),a49)
% 14.19/14.28 [191]~P1(x1911)+~P15(x1912)+~E(f4(x1911,x1912),x1912)
% 14.19/14.28 [200]~P1(x2001)+~P15(x2002)+P15(f4(x2001,x2002))
% 14.19/14.28 [201]~P15(x2012)+~P15(x2011)+P15(f5(x2011,x2012))
% 14.19/14.28 [202]~P1(x2021)+~P15(x2022)+E(f51(f4(x2021,x2022)),x2021)
% 14.19/14.28 [203]~P1(x2031)+~P15(x2032)+E(f57(f4(x2031,x2032)),x2032)
% 14.19/14.28 [232]~P1(x2321)+~P15(x2322)+E(f5(f4(x2321,a49),x2322),f4(x2321,x2322))
% 14.19/14.28 [177]P13(x1771,x1772)+~P1(x1772)+~P1(x1771)+E(x1771,x1772)
% 14.19/14.28 [178]P13(x1781,x1782)+~P15(x1782)+~P15(x1781)+E(x1781,x1782)
% 14.19/14.28 [197]~P1(x1972)+~P1(x1971)+~P13(x1971,x1972)+~E(x1971,x1972)
% 14.19/14.28 [198]~P1(x1982)+~P1(x1981)+~P11(x1981,x1982)+~E(x1981,x1982)
% 14.19/14.28 [199]~P15(x1992)+~P15(x1991)+~P13(x1991,x1992)+~E(x1991,x1992)
% 14.19/14.28 [210]~P1(x2101)+~P1(x2102)+~P9(x2102,x2101)+P8(x2101,x2102)
% 14.19/14.28 [211]~P1(x2112)+~P1(x2111)+~P11(x2111,x2112)+P8(x2111,x2112)
% 14.19/14.28 [212]~P1(x2121)+~P1(x2122)+~P10(x2122,x2121)+P11(x2121,x2122)
% 14.19/14.28 [213]~P1(x2131)+~P1(x2132)+~P8(x2132,x2131)+P9(x2131,x2132)
% 14.19/14.28 [214]~P1(x2141)+~P1(x2142)+~P11(x2142,x2141)+P10(x2141,x2142)
% 14.19/14.28 [223]~P11(x2231,x2232)+~P11(x2232,x2231)+~P1(x2231)+~P1(x2232)
% 14.19/14.28 [224]~P10(x2241,x2242)+~P10(x2242,x2241)+~P1(x2241)+~P1(x2242)
% 14.19/14.28 [194]~P15(x1942)+~P15(x1941)+E(a49,x1941)+~E(f5(x1942,x1941),a49)
% 14.19/14.28 [195]~P15(x1952)+~P15(x1951)+E(a49,x1951)+~E(f5(x1951,x1952),a49)
% 14.19/14.28 [196]~P1(x1962)+~P15(x1961)+P5(x1961)+~E(f4(x1962,a49),x1961)
% 14.19/14.28 [205]~P1(x2051)+~P15(x2052)+~E(a49,x2052)+P19(f4(x2051,x2052))
% 14.19/14.28 [206]~P1(x2061)+~P15(x2062)+~E(a49,x2062)+P18(f4(x2061,x2062))
% 14.19/14.28 [235]~P1(x2352)+~P15(x2351)+~P6(x2351,x2352)+P15(f41(x2351,x2352))
% 14.19/14.28 [236]~P1(x2362)+~P15(x2361)+~P6(x2361,x2362)+P15(f47(x2361,x2362))
% 14.19/14.28 [237]~P15(x2372)+~P15(x2371)+~P7(x2371,x2372)+P15(f53(x2371,x2372))
% 14.19/14.28 [238]~P15(x2382)+~P15(x2381)+~P12(x2381,x2382)+P15(f54(x2381,x2382))
% 14.19/14.28 [239]~P15(x2392)+~P15(x2391)+~P14(x2391,x2392)+P15(f55(x2391,x2392))
% 14.19/14.28 [240]~P15(x2402)+~P15(x2401)+~P14(x2401,x2402)+P15(f56(x2401,x2402))
% 14.19/14.28 [207]~P15(x2072)+~P15(x2071)+E(a49,x2071)+E(f51(f5(x2071,x2072)),f51(x2071))
% 14.19/14.28 [234]~P15(x2342)+~P15(x2341)+E(a49,x2341)+E(f57(f5(x2341,x2342)),f5(f57(x2341),x2342))
% 14.19/14.28 [247]~P15(x2472)+~P15(x2471)+~P7(x2472,x2471)+E(f5(x2471,f53(x2472,x2471)),x2472)
% 14.19/14.28 [248]~P15(x2482)+~P15(x2481)+~P12(x2481,x2482)+E(f5(f54(x2481,x2482),x2482),x2481)
% 14.19/14.28 [277]~P15(x2772)+~P15(x2771)+~P14(x2771,x2772)+E(f5(f5(f55(x2771,x2772),x2772),f56(x2771,x2772)),x2771)
% 14.19/14.28 [276]~P1(x2762)+~P15(x2761)+~P6(x2761,x2762)+E(f5(f41(x2761,x2762),f4(x2762,f47(x2761,x2762))),x2761)
% 14.19/14.28 [266]~P1(x2661)+~P15(x2662)+~P15(x2663)+E(f5(f4(x2661,x2662),x2663),f4(x2661,f5(x2662,x2663)))
% 14.19/14.28 [267]~P15(x2673)+~P15(x2672)+~P15(x2671)+E(f5(f5(x2671,x2672),x2673),f5(x2671,f5(x2672,x2673)))
% 14.19/14.28 [208]~P1(x2081)+E(a1,a49)+~P8(x2081,a50)+~P6(a48,x2081)+E(a50,x2081)
% 14.19/14.28 [209]~P1(x2091)+E(a49,a48)+~P8(x2091,a50)+~P6(a48,x2091)+E(a50,x2091)
% 14.19/14.28 [222]P11(x2221,x2222)+~P1(x2222)+~P1(x2221)+~P8(x2221,x2222)+E(x2221,x2222)
% 14.19/14.28 [227]~P1(x2272)+~P1(x2271)+~P8(x2272,x2271)+~P8(x2271,x2272)+E(x2271,x2272)
% 14.19/14.28 [228]~P1(x2282)+~P1(x2281)+~P9(x2282,x2281)+~P9(x2281,x2282)+E(x2281,x2282)
% 14.19/14.28 [229]~P15(x2292)+~P15(x2291)+~P7(x2292,x2291)+~P7(x2291,x2292)+E(x2291,x2292)
% 14.19/14.28 [230]~P15(x2302)+~P15(x2301)+~P12(x2302,x2301)+~P12(x2301,x2302)+E(x2301,x2302)
% 14.19/14.28 [231]~P15(x2312)+~P15(x2311)+~P14(x2312,x2311)+~P14(x2311,x2312)+E(x2311,x2312)
% 14.19/14.28 [179]~P15(x1791)+~P15(x1792)+~E(a49,x1791)+~E(a49,x1792)+E(f5(x1791,x1792),a49)
% 14.19/14.28 [243]P19(x2431)+~P15(x2431)+~P1(x2432)+E(a49,x2431)+~P19(f4(x2432,x2431))
% 14.19/14.28 [244]P18(x2441)+~P15(x2441)+~P1(x2442)+E(a49,x2441)+~P18(f4(x2442,x2441))
% 14.19/14.28 [257]~P1(x2572)+~P15(x2571)+E(a49,x2571)+P8(x2572,f51(x2571))+~P19(f4(x2572,x2571))
% 14.19/14.28 [258]~P1(x2582)+~P15(x2581)+E(a49,x2581)+P11(x2582,f51(x2581))+~P18(f4(x2582,x2581))
% 14.19/14.28 [225]~P15(x2251)+~P15(x2252)+~P15(x2253)+P7(x2251,x2252)+~E(f5(x2252,x2253),x2251)
% 14.19/14.28 [226]~P15(x2261)+~P15(x2262)+~P15(x2263)+P12(x2261,x2262)+~E(f5(x2263,x2262),x2261)
% 14.19/14.28 [233]~E(x2333,x2331)+~P1(x2331)+~P1(x2333)+~P15(x2332)+P6(f4(x2331,x2332),x2333)
% 14.19/14.29 [241]~P15(x2412)+~P15(x2413)+~P15(x2411)+E(x2411,x2412)+~E(f5(x2413,x2411),f5(x2413,x2412))
% 14.19/14.29 [242]~P15(x2422)+~P15(x2423)+~P15(x2421)+E(x2421,x2422)+~E(f5(x2421,x2423),f5(x2422,x2423))
% 14.19/14.29 [259]~P1(x2591)+~P1(x2593)+~P15(x2592)+~P6(x2592,x2593)+P6(f4(x2591,x2592),x2593)
% 14.19/14.29 [260]~P1(x2603)+~P15(x2601)+~P15(x2602)+~P6(x2602,x2603)+P6(f5(x2601,x2602),x2603)
% 14.19/14.29 [261]~P1(x2613)+~P15(x2612)+~P15(x2611)+~P6(x2611,x2613)+P6(f5(x2611,x2612),x2613)
% 14.19/14.29 [262]~P15(x2622)+~P15(x2623)+~P15(x2621)+~P7(x2621,x2623)+P7(f5(x2621,x2622),x2623)
% 14.19/14.29 [263]~P15(x2631)+~P15(x2633)+~P15(x2632)+~P12(x2632,x2633)+P12(f5(x2631,x2632),x2633)
% 14.19/14.29 [264]~P1(x2642)+~P15(x2641)+~P19(x2641)+~P8(x2642,f51(x2641))+E(a49,x2641)+P19(f4(x2642,x2641))
% 14.19/14.29 [265]~P1(x2652)+~P15(x2651)+~P18(x2651)+~P11(x2652,f51(x2651))+E(a49,x2651)+P18(f4(x2652,x2651))
% 14.19/14.29 [249]~P15(x2492)+~P15(x2491)+~P7(x2493,x2492)+~P7(x2491,x2493)+P7(x2491,x2492)+~P15(x2493)
% 14.19/14.29 [250]~P15(x2502)+~P15(x2501)+~P12(x2503,x2502)+~P12(x2501,x2503)+P12(x2501,x2502)+~P15(x2503)
% 14.19/14.29 [251]~P15(x2512)+~P15(x2511)+~P14(x2513,x2512)+~P14(x2511,x2513)+P14(x2511,x2512)+~P15(x2513)
% 14.19/14.29 [252]~P1(x2522)+~P1(x2521)+~P8(x2523,x2522)+~P8(x2521,x2523)+P8(x2521,x2522)+~P1(x2523)
% 14.19/14.29 [253]~P1(x2532)+~P1(x2531)+~P8(x2531,x2533)+~P11(x2533,x2532)+P11(x2531,x2532)+~P1(x2533)
% 14.19/14.29 [254]~P1(x2542)+~P1(x2541)+~P11(x2543,x2542)+~P11(x2541,x2543)+P11(x2541,x2542)+~P1(x2543)
% 14.19/14.29 [255]~P1(x2552)+~P1(x2551)+~P9(x2553,x2552)+~P9(x2551,x2553)+P9(x2551,x2552)+~P1(x2553)
% 14.19/14.29 [256]~P1(x2562)+~P1(x2561)+~P10(x2563,x2562)+~P10(x2561,x2563)+P10(x2561,x2562)+~P1(x2563)
% 14.19/14.29 [268]~P1(x2682)+~P1(x2681)+~P15(x2683)+E(x2681,x2682)+P6(x2683,x2682)+~P6(f4(x2681,x2683),x2682)
% 14.19/14.29 [271]~P1(x2712)+~P15(x2711)+~P15(x2713)+P6(x2711,x2712)+P6(x2713,x2712)+~P6(f5(x2713,x2711),x2712)
% 14.19/14.29 [245]~P1(x2454)+~P1(x2453)+~P15(x2452)+~P15(x2451)+E(x2451,x2452)+~E(f4(x2453,x2452),f4(x2454,x2451))
% 14.19/14.29 [246]~P1(x2462)+~P1(x2461)+~P15(x2464)+~P15(x2463)+E(x2461,x2462)+~E(f4(x2461,x2463),f4(x2462,x2464))
% 14.19/14.29 [273]~P1(x2732)+~P1(x2731)+E(x2731,x2732)+~P15(x2733)+~P15(x2734)+~P7(f4(x2731,x2734),f4(x2732,x2733))
% 14.19/14.29 [275]~P15(x2752)+~P15(x2751)+P7(x2751,x2752)+~P1(x2753)+~P1(x2754)+~P7(f4(x2754,x2751),f4(x2753,x2752))
% 14.19/14.29 [269]~P1(x2692)+~P15(x2691)+~P15(x2694)+~P15(x2693)+P6(x2691,x2692)+~E(f5(x2693,f4(x2692,x2694)),x2691)
% 14.19/14.29 [270]~P15(x2701)+~P15(x2702)+~P15(x2704)+~P15(x2703)+P14(x2701,x2702)+~E(f5(f5(x2703,x2702),x2704),x2701)
% 14.19/14.29 [274]~P15(x2743)+~P15(x2741)+~P15(x2744)+~P15(x2742)+~P14(x2742,x2744)+P14(f5(f5(x2741,x2742),x2743),x2744)
% 14.19/14.29 [204]~P15(x2042)+~P15(x2041)+E(x2041,x2042)+E(a49,x2042)+E(a49,x2041)+~E(f51(x2041),f51(x2042))+~E(f57(x2041),f57(x2042))
% 14.19/14.29 [272]~E(x2721,x2723)+~P1(x2723)+~P1(x2721)+~P15(x2724)+~P15(x2722)+~P7(x2722,x2724)+P7(f4(x2721,x2722),f4(x2723,x2724))
% 14.19/14.29 [279]~P1(x2792)+~P1(x2791)+~P15(x2794)+~P15(x2793)+~P15(x2795)+~P4(x2795)+E(x2791,x2792)+~E(f5(x2793,f4(x2791,f4(x2792,x2794))),x2795)
% 14.19/14.29 [286]~P1(x2862)+~P1(x2861)+~P15(x2865)+~P15(x2864)+~P15(x2863)+~P15(x2866)+~P3(x2866)+~E(x2861,x2862)+~E(f5(f5(x2863,f4(x2861,x2864)),f4(x2862,x2865)),x2866)
% 14.19/14.29 [287]~P1(x2872)+~P1(x2871)+~P15(x2875)+~P15(x2874)+~P15(x2873)+~P15(x2876)+~P19(x2876)+P8(x2871,x2872)+~E(f5(f5(x2873,f4(x2871,x2874)),f4(x2872,x2875)),x2876)
% 14.19/14.29 [288]~P1(x2882)+~P1(x2881)+~P15(x2885)+~P15(x2884)+~P15(x2883)+~P15(x2886)+~P18(x2886)+P11(x2881,x2882)+~E(f5(f5(x2883,f4(x2881,x2884)),f4(x2882,x2885)),x2886)
% 14.19/14.29 [289]P8(x2892,x2891)+~P1(x2891)+~P1(x2892)+~P15(x2895)+~P15(x2894)+~P15(x2893)+~P15(x2896)+~P16(x2896)+P8(x2891,x2892)+~E(f5(f5(x2893,f4(x2892,x2894)),f4(x2891,x2895)),x2896)
% 14.19/14.29 [290]P11(x2902,x2901)+~P1(x2901)+~P1(x2902)+~P15(x2905)+~P15(x2904)+~P15(x2903)+~P15(x2906)+~P17(x2906)+P11(x2901,x2902)+~E(f5(f5(x2903,f4(x2902,x2904)),f4(x2901,x2905)),x2906)
% 14.19/14.29 [291]~P1(x2914)+~P1(x2912)+~P15(x2915)+~P15(x2913)+~P15(x2911)+~P15(x2916)+~P2(x2916)+~P8(x2914,x2912)+~P8(x2912,x2914)+~E(f5(f5(x2911,f4(x2912,x2913)),f4(x2914,x2915)),x2916)
% 14.19/14.29 %EqnAxiom
% 14.19/14.29 [1]E(x11,x11)
% 14.19/14.29 [2]E(x22,x21)+~E(x21,x22)
% 14.19/14.29 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 14.19/14.29 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 14.19/14.29 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 14.19/14.29 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 14.19/14.29 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 14.19/14.29 [8]~E(x81,x82)+E(f51(x81),f51(x82))
% 14.19/14.29 [9]~E(x91,x92)+E(f27(x91),f27(x92))
% 14.19/14.29 [10]~E(x101,x102)+E(f57(x101),f57(x102))
% 14.19/14.29 [11]~E(x111,x112)+E(f45(x111),f45(x112))
% 14.19/14.29 [12]~E(x121,x122)+E(f53(x121,x123),f53(x122,x123))
% 14.19/14.29 [13]~E(x131,x132)+E(f53(x133,x131),f53(x133,x132))
% 14.19/14.29 [14]~E(x141,x142)+E(f28(x141),f28(x142))
% 14.19/14.29 [15]~E(x151,x152)+E(f56(x151,x153),f56(x152,x153))
% 14.19/14.29 [16]~E(x161,x162)+E(f56(x163,x161),f56(x163,x162))
% 14.19/14.29 [17]~E(x171,x172)+E(f55(x171,x173),f55(x172,x173))
% 14.19/14.29 [18]~E(x181,x182)+E(f55(x183,x181),f55(x183,x182))
% 14.19/14.29 [19]~E(x191,x192)+E(f29(x191),f29(x192))
% 14.19/14.29 [20]~E(x201,x202)+E(f22(x201),f22(x202))
% 14.19/14.29 [21]~E(x211,x212)+E(f30(x211),f30(x212))
% 14.19/14.29 [22]~E(x221,x222)+E(f36(x221),f36(x222))
% 14.19/14.29 [23]~E(x231,x232)+E(f7(x231),f7(x232))
% 14.19/14.29 [24]~E(x241,x242)+E(f10(x241),f10(x242))
% 14.19/14.29 [25]~E(x251,x252)+E(f6(x251),f6(x252))
% 14.19/14.29 [26]~E(x261,x262)+E(f17(x261),f17(x262))
% 14.19/14.29 [27]~E(x271,x272)+E(f8(x271),f8(x272))
% 14.19/14.29 [28]~E(x281,x282)+E(f9(x281),f9(x282))
% 14.19/14.29 [29]~E(x291,x292)+E(f11(x291),f11(x292))
% 14.19/14.29 [30]~E(x301,x302)+E(f31(x301),f31(x302))
% 14.19/14.29 [31]~E(x311,x312)+E(f12(x311),f12(x312))
% 14.19/14.29 [32]~E(x321,x322)+E(f13(x321),f13(x322))
% 14.19/14.29 [33]~E(x331,x332)+E(f14(x331),f14(x332))
% 14.19/14.29 [34]~E(x341,x342)+E(f15(x341),f15(x342))
% 14.19/14.29 [35]~E(x351,x352)+E(f23(x351),f23(x352))
% 14.19/14.29 [36]~E(x361,x362)+E(f18(x361),f18(x362))
% 14.19/14.29 [37]~E(x371,x372)+E(f19(x371),f19(x372))
% 14.19/14.29 [38]~E(x381,x382)+E(f20(x381),f20(x382))
% 14.19/14.29 [39]~E(x391,x392)+E(f21(x391),f21(x392))
% 14.19/14.29 [40]~E(x401,x402)+E(f41(x401,x403),f41(x402,x403))
% 14.19/14.29 [41]~E(x411,x412)+E(f41(x413,x411),f41(x413,x412))
% 14.19/14.29 [42]~E(x421,x422)+E(f39(x421),f39(x422))
% 14.19/14.29 [43]~E(x431,x432)+E(f24(x431),f24(x432))
% 14.19/14.29 [44]~E(x441,x442)+E(f25(x441),f25(x442))
% 14.19/14.29 [45]~E(x451,x452)+E(f26(x451),f26(x452))
% 14.19/14.29 [46]~E(x461,x462)+E(f33(x461),f33(x462))
% 14.19/14.29 [47]~E(x471,x472)+E(f32(x471),f32(x472))
% 14.19/14.29 [48]~E(x481,x482)+E(f54(x481,x483),f54(x482,x483))
% 14.19/14.29 [49]~E(x491,x492)+E(f54(x493,x491),f54(x493,x492))
% 14.19/14.29 [50]~E(x501,x502)+E(f34(x501),f34(x502))
% 14.19/14.29 [51]~E(x511,x512)+E(f35(x511),f35(x512))
% 14.19/14.29 [52]~E(x521,x522)+E(f43(x521),f43(x522))
% 14.19/14.29 [53]~E(x531,x532)+E(f42(x531),f42(x532))
% 14.19/14.29 [54]~E(x541,x542)+E(f37(x541),f37(x542))
% 14.19/14.29 [55]~E(x551,x552)+E(f38(x551),f38(x552))
% 14.19/14.29 [56]~E(x561,x562)+E(f47(x561,x563),f47(x562,x563))
% 14.19/14.29 [57]~E(x571,x572)+E(f47(x573,x571),f47(x573,x572))
% 14.19/14.29 [58]~E(x581,x582)+E(f40(x581),f40(x582))
% 14.19/14.29 [59]~E(x591,x592)+E(f52(x591),f52(x592))
% 14.19/14.29 [60]~E(x601,x602)+E(f44(x601),f44(x602))
% 14.19/14.29 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 14.19/14.29 [62]P8(x622,x623)+~E(x621,x622)+~P8(x621,x623)
% 14.19/14.29 [63]P8(x633,x632)+~E(x631,x632)+~P8(x633,x631)
% 14.19/14.29 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 14.19/14.29 [65]P6(x652,x653)+~E(x651,x652)+~P6(x651,x653)
% 14.19/14.29 [66]P6(x663,x662)+~E(x661,x662)+~P6(x663,x661)
% 14.19/14.29 [67]~P2(x671)+P2(x672)+~E(x671,x672)
% 14.19/14.29 [68]~P3(x681)+P3(x682)+~E(x681,x682)
% 14.19/14.29 [69]~P18(x691)+P18(x692)+~E(x691,x692)
% 14.19/14.29 [70]~P19(x701)+P19(x702)+~E(x701,x702)
% 14.19/14.29 [71]~P16(x711)+P16(x712)+~E(x711,x712)
% 14.19/14.29 [72]~P17(x721)+P17(x722)+~E(x721,x722)
% 14.19/14.29 [73]P14(x732,x733)+~E(x731,x732)+~P14(x731,x733)
% 14.19/14.29 [74]P14(x743,x742)+~E(x741,x742)+~P14(x743,x741)
% 14.19/14.29 [75]~P4(x751)+P4(x752)+~E(x751,x752)
% 14.19/14.29 [76]P7(x762,x763)+~E(x761,x762)+~P7(x761,x763)
% 14.19/14.29 [77]P7(x773,x772)+~E(x771,x772)+~P7(x773,x771)
% 14.19/14.29 [78]P12(x782,x783)+~E(x781,x782)+~P12(x781,x783)
% 14.19/14.29 [79]P12(x793,x792)+~E(x791,x792)+~P12(x793,x791)
% 14.19/14.29 [80]~P5(x801)+P5(x802)+~E(x801,x802)
% 14.19/14.29 [81]P11(x812,x813)+~E(x811,x812)+~P11(x811,x813)
% 14.19/14.29 [82]P11(x823,x822)+~E(x821,x822)+~P11(x823,x821)
% 14.19/14.29 [83]P10(x832,x833)+~E(x831,x832)+~P10(x831,x833)
% 14.19/14.29 [84]P10(x843,x842)+~E(x841,x842)+~P10(x843,x841)
% 14.19/14.29 [85]P13(x852,x853)+~E(x851,x852)+~P13(x851,x853)
% 14.19/14.29 [86]P13(x863,x862)+~E(x861,x862)+~P13(x863,x861)
% 14.19/14.29 [87]P9(x872,x873)+~E(x871,x872)+~P9(x871,x873)
% 14.19/14.29 [88]P9(x883,x882)+~E(x881,x882)+~P9(x883,x881)
% 14.19/14.29
% 14.19/14.29 %-------------------------------------------
% 14.19/14.29 cnf(296,plain,
% 14.19/14.29 (~P13(x2961,x2961)+~P1(x2961)+~P1(x2961)),
% 14.19/14.29 inference(equality_inference,[],[197])).
% 14.19/14.29 cnf(298,plain,
% 14.19/14.29 (~P13(x2981,x2981)+~P15(x2981)+~P15(x2981)),
% 14.19/14.29 inference(equality_inference,[],[199])).
% 14.19/14.29 cnf(310,plain,
% 14.19/14.29 (~P1(x3101)+~P1(x3101)+~P7(x3102,x3103)+~P15(x3103)+~P15(x3102)+P7(f4(x3101,x3102),f4(x3101,x3103))),
% 14.19/14.29 inference(equality_inference,[],[272])).
% 14.19/14.29 cnf(317,plain,
% 14.19/14.29 (E(a2,a1)),
% 14.19/14.29 inference(scs_inference,[],[89,2])).
% 14.19/14.29 cnf(324,plain,
% 14.19/14.29 (~P18(a1)),
% 14.19/14.29 inference(scs_inference,[],[89,94,107,91,2,176,296,298,69])).
% 14.19/14.29 cnf(338,plain,
% 14.19/14.29 (~P5(a1)+P5(a2)),
% 14.19/14.29 inference(scs_inference,[],[89,90,95,92,176,2,298,296,72,75,80])).
% 14.19/14.29 cnf(556,plain,
% 14.19/14.29 (P7(a2,a49)),
% 14.19/14.29 inference(scs_inference,[],[89,96,122,64])).
% 14.19/14.29 cnf(573,plain,
% 14.19/14.29 (~P7(a49,a2)+E(a49,a2)),
% 14.19/14.29 inference(scs_inference,[],[94,93,556,229])).
% 14.19/14.29 cnf(1055,plain,
% 14.19/14.29 (~P7(a49,a2)),
% 14.19/14.29 inference(scs_inference,[],[102,107,573,69])).
% 14.19/14.29 cnf(2426,plain,
% 14.19/14.29 (E(f5(a2,a49),a2)),
% 14.19/14.29 inference(scs_inference,[],[89,96,126,64])).
% 14.19/14.29 cnf(2427,plain,
% 14.19/14.29 (E(a2,f5(a2,a49))),
% 14.19/14.29 inference(scs_inference,[],[2426,2])).
% 14.19/14.29 cnf(2429,plain,
% 14.19/14.29 (E(a1,f5(a2,a49))),
% 14.19/14.29 inference(scs_inference,[],[89,94,2426,2,64,3])).
% 14.19/14.29 cnf(2433,plain,
% 14.19/14.29 (P7(a2,a2)),
% 14.19/14.29 inference(scs_inference,[],[89,94,107,93,2426,2,64,3,298,69,225])).
% 14.19/14.29 cnf(2441,plain,
% 14.19/14.29 (P7(a2,a1)),
% 14.19/14.29 inference(scs_inference,[],[89,94,107,317,93,92,1055,2426,2,64,3,298,69,225,226,310,76,61,77])).
% 14.19/14.29 cnf(2452,plain,
% 14.19/14.29 (P7(a1,a2)),
% 14.19/14.29 inference(scs_inference,[],[89,317,2441,2429,2,76,77])).
% 14.19/14.29 cnf(2459,plain,
% 14.19/14.29 (~E(a1,a49)),
% 14.19/14.29 inference(scs_inference,[],[2452,1055,76])).
% 14.19/14.29 cnf(2461,plain,
% 14.19/14.29 (~P5(a2)+P5(f5(a2,a49))),
% 14.19/14.29 inference(scs_inference,[],[2427,2429,2452,1055,76,61,80])).
% 14.19/14.29 cnf(2468,plain,
% 14.19/14.29 (P1(a50)),
% 14.19/14.29 inference(scs_inference,[],[2459,108])).
% 14.19/14.29 cnf(2469,plain,
% 14.19/14.29 (E(f4(a50,a49),a1)),
% 14.19/14.29 inference(scs_inference,[],[2459,110])).
% 14.19/14.29 cnf(2500,plain,
% 14.19/14.29 ($false),
% 14.19/14.29 inference(scs_inference,[],[89,94,96,2469,324,2468,93,2433,176,2,296,64,298,3,69,196,206,310,338,2461,185]),
% 14.19/14.29 ['proof']).
% 14.19/14.29 % SZS output end Proof
% 14.19/14.29 % Total time :13.710000s
%------------------------------------------------------------------------------