%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC276+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 : n020.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 16:14:50 EDT 2024
% Result : Theorem 15.07s 15.11s
% Output : CNFRefutation 15.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SWC276+1 : TPTP v8.2.0. Released v2.4.0.
% 0.05/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Jun 20 02:43:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.57/0.59 start to proof:theBenchmark
% 15.07/15.10 %-------------------------------------------
% 15.07/15.10 % File :CSE---1.7
% 15.07/15.10 % Problem :theBenchmark
% 15.07/15.10 % Transform :cnf
% 15.07/15.10 % Format :tptp:raw
% 15.07/15.10 % Command :java -jar mcs_scs.jar %d %s
% 15.07/15.10
% 15.07/15.10 % Result :Theorem 14.410000s
% 15.07/15.10 % Output :CNFRefutation 14.410000s
% 15.07/15.10 %-------------------------------------------
% 15.07/15.11 %--------------------------------------------------------------------------
% 15.07/15.11 % File : SWC276+1 : TPTP v8.2.0. Released v2.4.0.
% 15.07/15.11 % Domain : Software Creation
% 15.07/15.11 % Problem : cond_pst_sorted1_x_some_total2
% 15.07/15.11 % Version : [Wei00] axioms.
% 15.07/15.11 % English : Find components in a software library that match a given target
% 15.07/15.11 % specification given in first-order logic. The components are
% 15.07/15.11 % specified in first-order logic as well. The problem represents
% 15.07/15.11 % a test of one library module specification against a target
% 15.07/15.11 % specification.
% 15.07/15.11
% 15.07/15.11 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 15.07/15.11 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 15.07/15.11 % Source : [Wei00]
% 15.07/15.11 % Names : cond_pst_sorted1_x_some_total2 [Wei00]
% 15.07/15.11
% 15.07/15.11 % Status : Theorem
% 15.07/15.11 % Rating : 0.19 v8.2.0, 0.17 v8.1.0, 0.22 v7.5.0, 0.25 v7.4.0, 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 v5.0.0, 0.33 v4.1.0, 0.35 v4.0.0, 0.38 v3.7.0, 0.30 v3.5.0, 0.26 v3.4.0, 0.37 v3.3.0, 0.36 v3.1.0, 0.56 v2.7.0, 0.50 v2.5.0, 0.33 v2.4.0
% 15.07/15.11 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 15.07/15.11 % Number of atoms : 406 ( 76 equ)
% 15.07/15.11 % Maximal formula atoms : 12 ( 4 avg)
% 15.07/15.11 % Number of connectives : 340 ( 30 ~; 13 |; 39 &)
% 15.07/15.11 % ( 26 <=>; 232 =>; 0 <=; 0 <~>)
% 15.07/15.11 % Maximal formula depth : 17 ( 7 avg)
% 15.07/15.11 % Maximal term depth : 4 ( 1 avg)
% 15.07/15.11 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 15.07/15.11 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 15.07/15.11 % Number of variables : 208 ( 195 !; 13 ?)
% 15.07/15.11 % SPC : FOF_THM_RFO_SEQ
% 15.07/15.11
% 15.07/15.11 % Comments :
% 15.07/15.11 %--------------------------------------------------------------------------
% 15.07/15.11 %----Include list specification axioms
% 15.07/15.11 include('Axioms/SWC001+0.ax').
% 15.07/15.11 %--------------------------------------------------------------------------
% 15.07/15.11 fof(co1,conjecture,
% 15.07/15.11 ! [U] :
% 15.07/15.11 ( ssList(U)
% 15.07/15.11 => ! [V] :
% 15.07/15.11 ( ssList(V)
% 15.07/15.11 => ! [W] :
% 15.07/15.11 ( ssList(W)
% 15.07/15.11 => ! [X] :
% 15.07/15.11 ( ssList(X)
% 15.07/15.11 => ( V != X
% 15.07/15.11 | U != W
% 15.07/15.11 | totalorderedP(U)
% 15.07/15.11 | ( ! [Y] :
% 15.07/15.11 ( ssItem(Y)
% 15.07/15.11 => ( cons(Y,nil) != W
% 15.07/15.11 | ~ memberP(X,Y) ) )
% 15.07/15.11 & ( nil != X
% 15.07/15.11 | nil != W ) ) ) ) ) ) ) ).
% 15.07/15.11
% 15.07/15.11 %--------------------------------------------------------------------------
% 15.07/15.11 %-------------------------------------------
% 15.07/15.11 % Proof found
% 15.07/15.11 % SZS status Theorem for theBenchmark
% 15.07/15.11 % SZS output start Proof
% 15.07/15.11 %ClaNum:289(EqnAxiom:88)
% 15.07/15.11 %VarNum:1008(SingletonVarNum:327)
% 15.07/15.11 %MaxLitNum:10
% 15.07/15.11 %MaxfuncDepth:4
% 15.07/15.11 %SharedTerms:33
% 15.07/15.11 %goalClause: 89 90 94 95 96 97 107 108 109 110 111 112 113
% 15.07/15.11 %singleGoalClaCount:7
% 15.07/15.11 [89]E(a1,a2)
% 15.07/15.11 [90]E(a46,a48)
% 15.07/15.11 [91]P1(a3)
% 15.07/15.11 [92]P1(a16)
% 15.07/15.11 [93]P15(a49)
% 15.07/15.11 [94]P15(a2)
% 15.07/15.11 [95]P15(a46)
% 15.07/15.11 [96]P15(a1)
% 15.07/15.11 [97]P15(a48)
% 15.07/15.11 [98]P2(a49)
% 15.07/15.11 [99]P16(a49)
% 15.07/15.11 [100]P17(a49)
% 15.07/15.11 [101]P19(a49)
% 15.07/15.11 [102]P18(a49)
% 15.07/15.11 [103]P3(a49)
% 15.07/15.11 [104]P4(a49)
% 15.07/15.11 [105]~E(a16,a3)
% 15.07/15.11 [106]~P5(a49)
% 15.07/15.11 [107]~P19(a2)
% 15.07/15.11 [108]E(a1,a49)+P1(a50)
% 15.07/15.11 [109]E(a49,a48)+P1(a50)
% 15.07/15.11 [112]E(a1,a49)+P6(a48,a50)
% 15.07/15.11 [113]E(a49,a48)+P6(a48,a50)
% 15.07/15.11 [110]E(a1,a49)+E(f4(a50,a49),a1)
% 15.07/15.11 [111]E(a49,a48)+E(f4(a50,a49),a1)
% 15.07/15.11 [122]~P15(x1221)+P7(x1221,a49)
% 15.07/15.11 [123]~P15(x1231)+P12(x1231,a49)
% 15.07/15.11 [124]~P15(x1241)+P14(x1241,a49)
% 15.07/15.11 [128]~P15(x1281)+P7(x1281,x1281)
% 15.07/15.11 [129]~P15(x1291)+P12(x1291,x1291)
% 15.07/15.11 [130]~P15(x1301)+P14(x1301,x1301)
% 15.07/15.11 [131]~P1(x1311)+P8(x1311,x1311)
% 15.07/15.11 [132]~P1(x1321)+P9(x1321,x1321)
% 15.07/15.11 [172]~P1(x1721)+~P6(a49,x1721)
% 15.07/15.11 [176]~P11(x1761,x1761)+~P1(x1761)
% 15.07/15.11 [126]~P15(x1261)+E(f5(x1261,a49),x1261)
% 15.07/15.11 [127]~P15(x1271)+E(f5(a49,x1271),x1271)
% 15.07/15.11 [181]~P1(x1811)+P2(f4(x1811,a49))
% 15.07/15.11 [182]~P1(x1821)+P16(f4(x1821,a49))
% 15.07/15.11 [183]~P1(x1831)+P17(f4(x1831,a49))
% 15.07/15.11 [184]~P1(x1841)+P19(f4(x1841,a49))
% 15.07/15.11 [185]~P1(x1851)+P18(f4(x1851,a49))
% 15.07/15.11 [186]~P1(x1861)+P3(f4(x1861,a49))
% 15.07/15.11 [187]~P1(x1871)+P4(f4(x1871,a49))
% 15.07/15.11 [167]~P15(x1671)+~E(a49,x1671)+P7(a49,x1671)
% 15.07/15.11 [168]~P15(x1681)+~E(a49,x1681)+P12(a49,x1681)
% 15.07/15.12 [169]~P15(x1691)+~E(a49,x1691)+P14(a49,x1691)
% 15.07/15.12 [173]~P15(x1731)+~P7(a49,x1731)+E(a49,x1731)
% 15.07/15.12 [174]~P15(x1741)+~P12(a49,x1741)+E(a49,x1741)
% 15.07/15.12 [175]~P15(x1751)+~P14(a49,x1751)+E(a49,x1751)
% 15.07/15.12 [114]~P15(x1141)+E(f51(x1141),f27(x1141))+E(a49,x1141)
% 15.07/15.12 [115]~P15(x1151)+E(f57(x1151),f45(x1151))+E(a49,x1151)
% 15.07/15.12 [116]~P15(x1161)+E(a49,x1161)+P1(f51(x1161))
% 15.07/15.12 [117]~P15(x1171)+E(a49,x1171)+P1(f28(x1171))
% 15.07/15.12 [118]~P15(x1181)+E(a49,x1181)+P1(f27(x1181))
% 15.07/15.12 [119]~P15(x1191)+E(a49,x1191)+P15(f57(x1191))
% 15.07/15.12 [120]~P15(x1201)+E(a49,x1201)+P15(f29(x1201))
% 15.07/15.12 [121]~P15(x1211)+E(a49,x1211)+P15(f45(x1211))
% 15.07/15.12 [125]P3(x1251)+~P15(x1251)+E(f30(x1251),f36(x1251))
% 15.07/15.12 [133]~P15(x1331)+P2(x1331)+P1(f6(x1331))
% 15.07/15.12 [134]~P15(x1341)+P2(x1341)+P1(f7(x1341))
% 15.07/15.12 [135]~P15(x1351)+P2(x1351)+P15(f8(x1351))
% 15.07/15.12 [136]~P15(x1361)+P2(x1361)+P15(f9(x1361))
% 15.07/15.12 [137]~P15(x1371)+P2(x1371)+P15(f10(x1371))
% 15.07/15.12 [138]~P15(x1381)+P16(x1381)+P1(f11(x1381))
% 15.07/15.12 [139]~P15(x1391)+P16(x1391)+P1(f12(x1391))
% 15.07/15.12 [140]~P15(x1401)+P16(x1401)+P15(f13(x1401))
% 15.07/15.12 [141]~P15(x1411)+P16(x1411)+P15(f14(x1411))
% 15.07/15.12 [142]~P15(x1421)+P16(x1421)+P15(f15(x1421))
% 15.07/15.12 [143]~P15(x1431)+P17(x1431)+P1(f17(x1431))
% 15.07/15.12 [144]~P15(x1441)+P17(x1441)+P1(f18(x1441))
% 15.07/15.12 [145]~P15(x1451)+P17(x1451)+P15(f19(x1451))
% 15.07/15.12 [146]~P15(x1461)+P17(x1461)+P15(f20(x1461))
% 15.07/15.12 [147]~P15(x1471)+P17(x1471)+P15(f21(x1471))
% 15.07/15.12 [148]~P15(x1481)+P19(x1481)+P1(f22(x1481))
% 15.07/15.12 [149]~P15(x1491)+P19(x1491)+P1(f23(x1491))
% 15.07/15.12 [150]~P15(x1501)+P19(x1501)+P15(f24(x1501))
% 15.07/15.12 [151]~P15(x1511)+P19(x1511)+P15(f25(x1511))
% 15.07/15.12 [152]~P15(x1521)+P19(x1521)+P15(f26(x1521))
% 15.07/15.12 [153]~P15(x1531)+P18(x1531)+P1(f31(x1531))
% 15.07/15.12 [154]~P15(x1541)+P18(x1541)+P1(f32(x1541))
% 15.07/15.12 [155]~P15(x1551)+P18(x1551)+P15(f33(x1551))
% 15.07/15.12 [156]~P15(x1561)+P18(x1561)+P15(f34(x1561))
% 15.07/15.12 [157]~P15(x1571)+P18(x1571)+P15(f35(x1571))
% 15.07/15.12 [158]~P15(x1581)+P3(x1581)+P1(f30(x1581))
% 15.07/15.12 [159]~P15(x1591)+P3(x1591)+P1(f36(x1591))
% 15.07/15.12 [160]~P15(x1601)+P3(x1601)+P15(f37(x1601))
% 15.07/15.12 [161]~P15(x1611)+P3(x1611)+P15(f38(x1611))
% 15.07/15.12 [162]~P15(x1621)+P3(x1621)+P15(f39(x1621))
% 15.07/15.12 [163]~P15(x1631)+P4(x1631)+P1(f40(x1631))
% 15.07/15.12 [164]~P15(x1641)+P4(x1641)+P1(f42(x1641))
% 15.07/15.12 [165]~P15(x1651)+P4(x1651)+P15(f43(x1651))
% 15.07/15.12 [166]~P15(x1661)+P4(x1661)+P15(f44(x1661))
% 15.07/15.12 [170]~P15(x1701)+P4(x1701)+~E(f42(x1701),f40(x1701))
% 15.07/15.12 [171]~P15(x1711)+~P5(x1711)+P1(f52(x1711))
% 15.07/15.12 [192]~P15(x1921)+P2(x1921)+P8(f6(x1921),f7(x1921))
% 15.07/15.12 [193]~P15(x1931)+P2(x1931)+P8(f7(x1931),f6(x1931))
% 15.07/15.12 [213]~P15(x2131)+P16(x2131)+~P8(f11(x2131),f12(x2131))
% 15.07/15.12 [214]~P15(x2141)+P16(x2141)+~P8(f12(x2141),f11(x2141))
% 15.07/15.12 [215]~P15(x2151)+P17(x2151)+~P11(f17(x2151),f18(x2151))
% 15.07/15.12 [216]~P15(x2161)+P17(x2161)+~P11(f18(x2161),f17(x2161))
% 15.07/15.12 [217]~P15(x2171)+P19(x2171)+~P8(f22(x2171),f23(x2171))
% 15.07/15.12 [218]~P15(x2181)+P18(x2181)+~P11(f31(x2181),f32(x2181))
% 15.07/15.12 [180]~P15(x1801)+~P5(x1801)+E(f4(f52(x1801),a49),x1801)
% 15.07/15.12 [188]~P15(x1881)+E(a49,x1881)+E(f4(f51(x1881),f57(x1881)),x1881)
% 15.07/15.12 [189]~P15(x1891)+E(a49,x1891)+E(f4(f28(x1891),f29(x1891)),x1891)
% 15.07/15.12 [278]P2(x2781)+~P15(x2781)+E(f5(f5(f8(x2781),f4(f6(x2781),f9(x2781))),f4(f7(x2781),f10(x2781))),x2781)
% 15.07/15.12 [279]P16(x2791)+~P15(x2791)+E(f5(f5(f13(x2791),f4(f11(x2791),f14(x2791))),f4(f12(x2791),f15(x2791))),x2791)
% 15.07/15.12 [280]P17(x2801)+~P15(x2801)+E(f5(f5(f19(x2801),f4(f17(x2801),f20(x2801))),f4(f18(x2801),f21(x2801))),x2801)
% 15.07/15.12 [281]P19(x2811)+~P15(x2811)+E(f5(f5(f24(x2811),f4(f22(x2811),f25(x2811))),f4(f23(x2811),f26(x2811))),x2811)
% 15.07/15.12 [282]P18(x2821)+~P15(x2821)+E(f5(f5(f33(x2821),f4(f31(x2821),f34(x2821))),f4(f32(x2821),f35(x2821))),x2821)
% 15.07/15.12 [283]P3(x2831)+~P15(x2831)+E(f5(f5(f37(x2831),f4(f30(x2831),f38(x2831))),f4(f36(x2831),f39(x2831))),x2831)
% 15.07/15.12 [276]P4(x2761)+~P15(x2761)+E(f5(f43(x2761),f4(f40(x2761),f4(f42(x2761),f44(x2761)))),x2761)
% 15.07/15.12 [190]~P1(x1901)+~P15(x1902)+~E(f4(x1901,x1902),a49)
% 15.07/15.12 [191]~P1(x1911)+~P15(x1912)+~E(f4(x1911,x1912),x1912)
% 15.07/15.12 [200]~P1(x2001)+~P15(x2002)+P15(f4(x2001,x2002))
% 15.07/15.12 [201]~P15(x2012)+~P15(x2011)+P15(f5(x2011,x2012))
% 15.07/15.12 [202]~P1(x2021)+~P15(x2022)+E(f51(f4(x2021,x2022)),x2021)
% 15.07/15.12 [203]~P1(x2031)+~P15(x2032)+E(f57(f4(x2031,x2032)),x2032)
% 15.07/15.12 [230]~P1(x2301)+~P15(x2302)+E(f5(f4(x2301,a49),x2302),f4(x2301,x2302))
% 15.07/15.12 [177]P13(x1771,x1772)+~P1(x1772)+~P1(x1771)+E(x1771,x1772)
% 15.07/15.12 [178]P13(x1781,x1782)+~P15(x1782)+~P15(x1781)+E(x1781,x1782)
% 15.07/15.12 [197]~P1(x1972)+~P1(x1971)+~P13(x1971,x1972)+~E(x1971,x1972)
% 15.07/15.12 [198]~P1(x1982)+~P1(x1981)+~P11(x1981,x1982)+~E(x1981,x1982)
% 15.07/15.12 [199]~P15(x1992)+~P15(x1991)+~P13(x1991,x1992)+~E(x1991,x1992)
% 15.07/15.12 [208]~P1(x2081)+~P1(x2082)+~P9(x2082,x2081)+P8(x2081,x2082)
% 15.07/15.12 [209]~P1(x2092)+~P1(x2091)+~P11(x2091,x2092)+P8(x2091,x2092)
% 15.07/15.12 [210]~P1(x2101)+~P1(x2102)+~P10(x2102,x2101)+P11(x2101,x2102)
% 15.07/15.12 [211]~P1(x2111)+~P1(x2112)+~P8(x2112,x2111)+P9(x2111,x2112)
% 15.07/15.12 [212]~P1(x2121)+~P1(x2122)+~P11(x2122,x2121)+P10(x2121,x2122)
% 15.07/15.12 [221]~P11(x2211,x2212)+~P11(x2212,x2211)+~P1(x2211)+~P1(x2212)
% 15.07/15.12 [222]~P10(x2221,x2222)+~P10(x2222,x2221)+~P1(x2221)+~P1(x2222)
% 15.07/15.12 [194]~P15(x1942)+~P15(x1941)+E(a49,x1941)+~E(f5(x1942,x1941),a49)
% 15.07/15.12 [195]~P15(x1952)+~P15(x1951)+E(a49,x1951)+~E(f5(x1951,x1952),a49)
% 15.07/15.12 [196]~P1(x1962)+~P15(x1961)+P5(x1961)+~E(f4(x1962,a49),x1961)
% 15.07/15.12 [205]~P1(x2051)+~P15(x2052)+~E(a49,x2052)+P19(f4(x2051,x2052))
% 15.07/15.12 [206]~P1(x2061)+~P15(x2062)+~E(a49,x2062)+P18(f4(x2061,x2062))
% 15.07/15.12 [233]~P1(x2332)+~P15(x2331)+~P6(x2331,x2332)+P15(f41(x2331,x2332))
% 15.07/15.12 [234]~P1(x2342)+~P15(x2341)+~P6(x2341,x2342)+P15(f47(x2341,x2342))
% 15.07/15.12 [235]~P15(x2352)+~P15(x2351)+~P7(x2351,x2352)+P15(f53(x2351,x2352))
% 15.07/15.12 [236]~P15(x2362)+~P15(x2361)+~P12(x2361,x2362)+P15(f54(x2361,x2362))
% 15.07/15.12 [237]~P15(x2372)+~P15(x2371)+~P14(x2371,x2372)+P15(f55(x2371,x2372))
% 15.07/15.12 [238]~P15(x2382)+~P15(x2381)+~P14(x2381,x2382)+P15(f56(x2381,x2382))
% 15.07/15.12 [207]~P15(x2072)+~P15(x2071)+E(a49,x2071)+E(f51(f5(x2071,x2072)),f51(x2071))
% 15.07/15.12 [232]~P15(x2322)+~P15(x2321)+E(a49,x2321)+E(f57(f5(x2321,x2322)),f5(f57(x2321),x2322))
% 15.07/15.12 [245]~P15(x2452)+~P15(x2451)+~P7(x2452,x2451)+E(f5(x2451,f53(x2452,x2451)),x2452)
% 15.07/15.12 [246]~P15(x2462)+~P15(x2461)+~P12(x2461,x2462)+E(f5(f54(x2461,x2462),x2462),x2461)
% 15.07/15.12 [275]~P15(x2752)+~P15(x2751)+~P14(x2751,x2752)+E(f5(f5(f55(x2751,x2752),x2752),f56(x2751,x2752)),x2751)
% 15.07/15.12 [274]~P1(x2742)+~P15(x2741)+~P6(x2741,x2742)+E(f5(f41(x2741,x2742),f4(x2742,f47(x2741,x2742))),x2741)
% 15.07/15.12 [264]~P1(x2641)+~P15(x2642)+~P15(x2643)+E(f5(f4(x2641,x2642),x2643),f4(x2641,f5(x2642,x2643)))
% 15.07/15.12 [265]~P15(x2653)+~P15(x2652)+~P15(x2651)+E(f5(f5(x2651,x2652),x2653),f5(x2651,f5(x2652,x2653)))
% 15.07/15.12 [220]P11(x2201,x2202)+~P1(x2202)+~P1(x2201)+~P8(x2201,x2202)+E(x2201,x2202)
% 15.07/15.12 [225]~P1(x2252)+~P1(x2251)+~P8(x2252,x2251)+~P8(x2251,x2252)+E(x2251,x2252)
% 15.07/15.12 [226]~P1(x2262)+~P1(x2261)+~P9(x2262,x2261)+~P9(x2261,x2262)+E(x2261,x2262)
% 15.07/15.12 [227]~P15(x2272)+~P15(x2271)+~P7(x2272,x2271)+~P7(x2271,x2272)+E(x2271,x2272)
% 15.07/15.12 [228]~P15(x2282)+~P15(x2281)+~P12(x2282,x2281)+~P12(x2281,x2282)+E(x2281,x2282)
% 15.07/15.12 [229]~P15(x2292)+~P15(x2291)+~P14(x2292,x2291)+~P14(x2291,x2292)+E(x2291,x2292)
% 15.07/15.12 [179]~P15(x1791)+~P15(x1792)+~E(a49,x1791)+~E(a49,x1792)+E(f5(x1791,x1792),a49)
% 15.07/15.12 [241]P19(x2411)+~P15(x2411)+~P1(x2412)+E(a49,x2411)+~P19(f4(x2412,x2411))
% 15.07/15.12 [242]P18(x2421)+~P15(x2421)+~P1(x2422)+E(a49,x2421)+~P18(f4(x2422,x2421))
% 15.07/15.12 [255]~P1(x2552)+~P15(x2551)+E(a49,x2551)+P8(x2552,f51(x2551))+~P19(f4(x2552,x2551))
% 15.07/15.12 [256]~P1(x2562)+~P15(x2561)+E(a49,x2561)+P11(x2562,f51(x2561))+~P18(f4(x2562,x2561))
% 15.07/15.12 [223]~P15(x2231)+~P15(x2232)+~P15(x2233)+P7(x2231,x2232)+~E(f5(x2232,x2233),x2231)
% 15.07/15.12 [224]~P15(x2241)+~P15(x2242)+~P15(x2243)+P12(x2241,x2242)+~E(f5(x2243,x2242),x2241)
% 15.07/15.12 [231]~E(x2313,x2311)+~P1(x2311)+~P1(x2313)+~P15(x2312)+P6(f4(x2311,x2312),x2313)
% 15.07/15.12 [239]~P15(x2392)+~P15(x2393)+~P15(x2391)+E(x2391,x2392)+~E(f5(x2393,x2391),f5(x2393,x2392))
% 15.07/15.12 [240]~P15(x2402)+~P15(x2403)+~P15(x2401)+E(x2401,x2402)+~E(f5(x2401,x2403),f5(x2402,x2403))
% 15.07/15.12 [257]~P1(x2571)+~P1(x2573)+~P15(x2572)+~P6(x2572,x2573)+P6(f4(x2571,x2572),x2573)
% 15.07/15.12 [258]~P1(x2583)+~P15(x2581)+~P15(x2582)+~P6(x2582,x2583)+P6(f5(x2581,x2582),x2583)
% 15.07/15.12 [259]~P1(x2593)+~P15(x2592)+~P15(x2591)+~P6(x2591,x2593)+P6(f5(x2591,x2592),x2593)
% 15.07/15.12 [260]~P15(x2602)+~P15(x2603)+~P15(x2601)+~P7(x2601,x2603)+P7(f5(x2601,x2602),x2603)
% 15.07/15.12 [261]~P15(x2611)+~P15(x2613)+~P15(x2612)+~P12(x2612,x2613)+P12(f5(x2611,x2612),x2613)
% 15.07/15.12 [262]~P1(x2622)+~P15(x2621)+~P19(x2621)+~P8(x2622,f51(x2621))+E(a49,x2621)+P19(f4(x2622,x2621))
% 15.07/15.12 [263]~P1(x2632)+~P15(x2631)+~P18(x2631)+~P11(x2632,f51(x2631))+E(a49,x2631)+P18(f4(x2632,x2631))
% 15.07/15.12 [247]~P15(x2472)+~P15(x2471)+~P7(x2473,x2472)+~P7(x2471,x2473)+P7(x2471,x2472)+~P15(x2473)
% 15.07/15.12 [248]~P15(x2482)+~P15(x2481)+~P12(x2483,x2482)+~P12(x2481,x2483)+P12(x2481,x2482)+~P15(x2483)
% 15.07/15.12 [249]~P15(x2492)+~P15(x2491)+~P14(x2493,x2492)+~P14(x2491,x2493)+P14(x2491,x2492)+~P15(x2493)
% 15.07/15.12 [250]~P1(x2502)+~P1(x2501)+~P8(x2503,x2502)+~P8(x2501,x2503)+P8(x2501,x2502)+~P1(x2503)
% 15.07/15.12 [251]~P1(x2512)+~P1(x2511)+~P8(x2511,x2513)+~P11(x2513,x2512)+P11(x2511,x2512)+~P1(x2513)
% 15.07/15.12 [252]~P1(x2522)+~P1(x2521)+~P11(x2523,x2522)+~P11(x2521,x2523)+P11(x2521,x2522)+~P1(x2523)
% 15.07/15.12 [253]~P1(x2532)+~P1(x2531)+~P9(x2533,x2532)+~P9(x2531,x2533)+P9(x2531,x2532)+~P1(x2533)
% 15.07/15.12 [254]~P1(x2542)+~P1(x2541)+~P10(x2543,x2542)+~P10(x2541,x2543)+P10(x2541,x2542)+~P1(x2543)
% 15.07/15.12 [266]~P1(x2662)+~P1(x2661)+~P15(x2663)+E(x2661,x2662)+P6(x2663,x2662)+~P6(f4(x2661,x2663),x2662)
% 15.07/15.12 [269]~P1(x2692)+~P15(x2691)+~P15(x2693)+P6(x2691,x2692)+P6(x2693,x2692)+~P6(f5(x2693,x2691),x2692)
% 15.07/15.12 [243]~P1(x2434)+~P1(x2433)+~P15(x2432)+~P15(x2431)+E(x2431,x2432)+~E(f4(x2433,x2432),f4(x2434,x2431))
% 15.07/15.12 [244]~P1(x2442)+~P1(x2441)+~P15(x2444)+~P15(x2443)+E(x2441,x2442)+~E(f4(x2441,x2443),f4(x2442,x2444))
% 15.07/15.12 [271]~P1(x2712)+~P1(x2711)+E(x2711,x2712)+~P15(x2713)+~P15(x2714)+~P7(f4(x2711,x2714),f4(x2712,x2713))
% 15.07/15.12 [273]~P15(x2732)+~P15(x2731)+P7(x2731,x2732)+~P1(x2733)+~P1(x2734)+~P7(f4(x2734,x2731),f4(x2733,x2732))
% 15.07/15.12 [267]~P1(x2672)+~P15(x2671)+~P15(x2674)+~P15(x2673)+P6(x2671,x2672)+~E(f5(x2673,f4(x2672,x2674)),x2671)
% 15.07/15.12 [268]~P15(x2681)+~P15(x2682)+~P15(x2684)+~P15(x2683)+P14(x2681,x2682)+~E(f5(f5(x2683,x2682),x2684),x2681)
% 15.07/15.12 [272]~P15(x2723)+~P15(x2721)+~P15(x2724)+~P15(x2722)+~P14(x2722,x2724)+P14(f5(f5(x2721,x2722),x2723),x2724)
% 15.07/15.12 [204]~P15(x2042)+~P15(x2041)+E(x2041,x2042)+E(a49,x2042)+E(a49,x2041)+~E(f51(x2041),f51(x2042))+~E(f57(x2041),f57(x2042))
% 15.07/15.12 [270]~E(x2701,x2703)+~P1(x2703)+~P1(x2701)+~P15(x2704)+~P15(x2702)+~P7(x2702,x2704)+P7(f4(x2701,x2702),f4(x2703,x2704))
% 15.07/15.12 [277]~P1(x2772)+~P1(x2771)+~P15(x2774)+~P15(x2773)+~P15(x2775)+~P4(x2775)+E(x2771,x2772)+~E(f5(x2773,f4(x2771,f4(x2772,x2774))),x2775)
% 15.07/15.12 [284]~P1(x2842)+~P1(x2841)+~P15(x2845)+~P15(x2844)+~P15(x2843)+~P15(x2846)+~P3(x2846)+~E(x2841,x2842)+~E(f5(f5(x2843,f4(x2841,x2844)),f4(x2842,x2845)),x2846)
% 15.07/15.12 [285]~P1(x2852)+~P1(x2851)+~P15(x2855)+~P15(x2854)+~P15(x2853)+~P15(x2856)+~P19(x2856)+P8(x2851,x2852)+~E(f5(f5(x2853,f4(x2851,x2854)),f4(x2852,x2855)),x2856)
% 15.07/15.12 [286]~P1(x2862)+~P1(x2861)+~P15(x2865)+~P15(x2864)+~P15(x2863)+~P15(x2866)+~P18(x2866)+P11(x2861,x2862)+~E(f5(f5(x2863,f4(x2861,x2864)),f4(x2862,x2865)),x2866)
% 15.07/15.12 [287]P8(x2872,x2871)+~P1(x2871)+~P1(x2872)+~P15(x2875)+~P15(x2874)+~P15(x2873)+~P15(x2876)+~P16(x2876)+P8(x2871,x2872)+~E(f5(f5(x2873,f4(x2872,x2874)),f4(x2871,x2875)),x2876)
% 15.07/15.12 [288]P11(x2882,x2881)+~P1(x2881)+~P1(x2882)+~P15(x2885)+~P15(x2884)+~P15(x2883)+~P15(x2886)+~P17(x2886)+P11(x2881,x2882)+~E(f5(f5(x2883,f4(x2882,x2884)),f4(x2881,x2885)),x2886)
% 15.07/15.12 [289]~P1(x2894)+~P1(x2892)+~P15(x2895)+~P15(x2893)+~P15(x2891)+~P15(x2896)+~P2(x2896)+~P8(x2894,x2892)+~P8(x2892,x2894)+~E(f5(f5(x2891,f4(x2892,x2893)),f4(x2894,x2895)),x2896)
% 15.07/15.12 %EqnAxiom
% 15.07/15.12 [1]E(x11,x11)
% 15.07/15.12 [2]E(x22,x21)+~E(x21,x22)
% 15.07/15.12 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 15.07/15.12 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 15.07/15.12 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 15.07/15.12 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 15.07/15.12 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 15.07/15.12 [8]~E(x81,x82)+E(f51(x81),f51(x82))
% 15.07/15.12 [9]~E(x91,x92)+E(f27(x91),f27(x92))
% 15.07/15.12 [10]~E(x101,x102)+E(f57(x101),f57(x102))
% 15.07/15.12 [11]~E(x111,x112)+E(f45(x111),f45(x112))
% 15.07/15.12 [12]~E(x121,x122)+E(f53(x121,x123),f53(x122,x123))
% 15.07/15.12 [13]~E(x131,x132)+E(f53(x133,x131),f53(x133,x132))
% 15.07/15.12 [14]~E(x141,x142)+E(f28(x141),f28(x142))
% 15.07/15.12 [15]~E(x151,x152)+E(f56(x151,x153),f56(x152,x153))
% 15.07/15.12 [16]~E(x161,x162)+E(f56(x163,x161),f56(x163,x162))
% 15.07/15.12 [17]~E(x171,x172)+E(f55(x171,x173),f55(x172,x173))
% 15.07/15.12 [18]~E(x181,x182)+E(f55(x183,x181),f55(x183,x182))
% 15.07/15.12 [19]~E(x191,x192)+E(f29(x191),f29(x192))
% 15.07/15.12 [20]~E(x201,x202)+E(f22(x201),f22(x202))
% 15.07/15.12 [21]~E(x211,x212)+E(f30(x211),f30(x212))
% 15.07/15.12 [22]~E(x221,x222)+E(f36(x221),f36(x222))
% 15.07/15.12 [23]~E(x231,x232)+E(f7(x231),f7(x232))
% 15.07/15.12 [24]~E(x241,x242)+E(f10(x241),f10(x242))
% 15.07/15.12 [25]~E(x251,x252)+E(f6(x251),f6(x252))
% 15.07/15.12 [26]~E(x261,x262)+E(f17(x261),f17(x262))
% 15.07/15.12 [27]~E(x271,x272)+E(f8(x271),f8(x272))
% 15.07/15.12 [28]~E(x281,x282)+E(f9(x281),f9(x282))
% 15.07/15.12 [29]~E(x291,x292)+E(f11(x291),f11(x292))
% 15.07/15.12 [30]~E(x301,x302)+E(f31(x301),f31(x302))
% 15.07/15.12 [31]~E(x311,x312)+E(f12(x311),f12(x312))
% 15.07/15.12 [32]~E(x321,x322)+E(f13(x321),f13(x322))
% 15.07/15.12 [33]~E(x331,x332)+E(f14(x331),f14(x332))
% 15.07/15.12 [34]~E(x341,x342)+E(f15(x341),f15(x342))
% 15.07/15.12 [35]~E(x351,x352)+E(f23(x351),f23(x352))
% 15.07/15.12 [36]~E(x361,x362)+E(f18(x361),f18(x362))
% 15.07/15.12 [37]~E(x371,x372)+E(f19(x371),f19(x372))
% 15.07/15.12 [38]~E(x381,x382)+E(f20(x381),f20(x382))
% 15.07/15.12 [39]~E(x391,x392)+E(f21(x391),f21(x392))
% 15.07/15.12 [40]~E(x401,x402)+E(f41(x401,x403),f41(x402,x403))
% 15.07/15.12 [41]~E(x411,x412)+E(f41(x413,x411),f41(x413,x412))
% 15.07/15.12 [42]~E(x421,x422)+E(f39(x421),f39(x422))
% 15.07/15.12 [43]~E(x431,x432)+E(f24(x431),f24(x432))
% 15.07/15.12 [44]~E(x441,x442)+E(f25(x441),f25(x442))
% 15.07/15.12 [45]~E(x451,x452)+E(f26(x451),f26(x452))
% 15.07/15.12 [46]~E(x461,x462)+E(f33(x461),f33(x462))
% 15.07/15.12 [47]~E(x471,x472)+E(f32(x471),f32(x472))
% 15.07/15.12 [48]~E(x481,x482)+E(f54(x481,x483),f54(x482,x483))
% 15.07/15.12 [49]~E(x491,x492)+E(f54(x493,x491),f54(x493,x492))
% 15.07/15.12 [50]~E(x501,x502)+E(f34(x501),f34(x502))
% 15.07/15.12 [51]~E(x511,x512)+E(f35(x511),f35(x512))
% 15.07/15.12 [52]~E(x521,x522)+E(f43(x521),f43(x522))
% 15.07/15.12 [53]~E(x531,x532)+E(f42(x531),f42(x532))
% 15.07/15.12 [54]~E(x541,x542)+E(f37(x541),f37(x542))
% 15.07/15.12 [55]~E(x551,x552)+E(f38(x551),f38(x552))
% 15.07/15.12 [56]~E(x561,x562)+E(f47(x561,x563),f47(x562,x563))
% 15.07/15.12 [57]~E(x571,x572)+E(f47(x573,x571),f47(x573,x572))
% 15.07/15.12 [58]~E(x581,x582)+E(f40(x581),f40(x582))
% 15.07/15.12 [59]~E(x591,x592)+E(f52(x591),f52(x592))
% 15.07/15.12 [60]~E(x601,x602)+E(f44(x601),f44(x602))
% 15.07/15.12 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 15.07/15.12 [62]P8(x622,x623)+~E(x621,x622)+~P8(x621,x623)
% 15.07/15.12 [63]P8(x633,x632)+~E(x631,x632)+~P8(x633,x631)
% 15.07/15.12 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 15.07/15.12 [65]P6(x652,x653)+~E(x651,x652)+~P6(x651,x653)
% 15.07/15.12 [66]P6(x663,x662)+~E(x661,x662)+~P6(x663,x661)
% 15.07/15.12 [67]~P4(x671)+P4(x672)+~E(x671,x672)
% 15.07/15.12 [68]~P3(x681)+P3(x682)+~E(x681,x682)
% 15.07/15.12 [69]~P19(x691)+P19(x692)+~E(x691,x692)
% 15.07/15.12 [70]~P2(x701)+P2(x702)+~E(x701,x702)
% 15.07/15.12 [71]~P16(x711)+P16(x712)+~E(x711,x712)
% 15.07/15.12 [72]~P17(x721)+P17(x722)+~E(x721,x722)
% 15.07/15.12 [73]P9(x732,x733)+~E(x731,x732)+~P9(x731,x733)
% 15.07/15.12 [74]P9(x743,x742)+~E(x741,x742)+~P9(x743,x741)
% 15.07/15.12 [75]~P18(x751)+P18(x752)+~E(x751,x752)
% 15.07/15.12 [76]P12(x762,x763)+~E(x761,x762)+~P12(x761,x763)
% 15.07/15.12 [77]P12(x773,x772)+~E(x771,x772)+~P12(x773,x771)
% 15.07/15.12 [78]P13(x782,x783)+~E(x781,x782)+~P13(x781,x783)
% 15.07/15.12 [79]P13(x793,x792)+~E(x791,x792)+~P13(x793,x791)
% 15.07/15.12 [80]~P5(x801)+P5(x802)+~E(x801,x802)
% 15.07/15.12 [81]P11(x812,x813)+~E(x811,x812)+~P11(x811,x813)
% 15.07/15.12 [82]P11(x823,x822)+~E(x821,x822)+~P11(x823,x821)
% 15.07/15.12 [83]P7(x832,x833)+~E(x831,x832)+~P7(x831,x833)
% 15.07/15.12 [84]P7(x843,x842)+~E(x841,x842)+~P7(x843,x841)
% 15.07/15.12 [85]P14(x852,x853)+~E(x851,x852)+~P14(x851,x853)
% 15.07/15.12 [86]P14(x863,x862)+~E(x861,x862)+~P14(x863,x861)
% 15.07/15.12 [87]P10(x872,x873)+~E(x871,x872)+~P10(x871,x873)
% 15.07/15.12 [88]P10(x883,x882)+~E(x881,x882)+~P10(x883,x881)
% 15.07/15.12
% 15.07/15.12 %-------------------------------------------
% 15.07/15.13 cnf(294,plain,
% 15.07/15.13 (~P13(x2941,x2941)+~P1(x2941)+~P1(x2941)),
% 15.07/15.13 inference(equality_inference,[],[197])).
% 15.07/15.13 cnf(296,plain,
% 15.07/15.13 (~P13(x2961,x2961)+~P15(x2961)+~P15(x2961)),
% 15.07/15.13 inference(equality_inference,[],[199])).
% 15.07/15.13 cnf(308,plain,
% 15.07/15.13 (~P1(x3081)+~P1(x3081)+~P7(x3082,x3083)+~P15(x3083)+~P15(x3082)+P7(f4(x3081,x3082),f4(x3081,x3083))),
% 15.07/15.13 inference(equality_inference,[],[270])).
% 15.07/15.13 cnf(315,plain,
% 15.07/15.13 (E(a2,a1)),
% 15.07/15.13 inference(scs_inference,[],[89,2])).
% 15.07/15.13 cnf(320,plain,
% 15.07/15.13 (~P13(a2,a2)),
% 15.07/15.13 inference(scs_inference,[],[89,94,91,2,176,294,296])).
% 15.07/15.13 cnf(322,plain,
% 15.07/15.13 (~P19(a1)),
% 15.07/15.13 inference(scs_inference,[],[89,94,107,91,2,176,294,296,69])).
% 15.07/15.13 cnf(336,plain,
% 15.07/15.13 (~P5(a1)+P5(a2)),
% 15.07/15.13 inference(scs_inference,[],[89,90,95,92,176,2,296,294,72,75,80])).
% 15.07/15.13 cnf(552,plain,
% 15.07/15.13 (P7(a2,a49)),
% 15.07/15.13 inference(scs_inference,[],[89,96,122,64])).
% 15.07/15.13 cnf(569,plain,
% 15.07/15.13 (~P7(a49,a2)+E(a49,a2)),
% 15.07/15.13 inference(scs_inference,[],[94,93,552,227])).
% 15.07/15.13 cnf(1044,plain,
% 15.07/15.13 (~P7(a49,a2)),
% 15.07/15.13 inference(scs_inference,[],[101,107,569,69])).
% 15.07/15.13 cnf(2567,plain,
% 15.07/15.13 (E(f5(a2,a49),a2)),
% 15.07/15.13 inference(scs_inference,[],[89,96,126,64])).
% 15.07/15.13 cnf(2571,plain,
% 15.07/15.13 (E(a1,f5(a2,a49))),
% 15.07/15.13 inference(scs_inference,[],[89,94,107,2567,2,64,69,3])).
% 15.07/15.13 cnf(2572,plain,
% 15.07/15.13 (P7(a2,a2)),
% 15.07/15.13 inference(scs_inference,[],[89,94,107,93,2567,2,64,69,3,223])).
% 15.07/15.13 cnf(2581,plain,
% 15.07/15.13 (P7(a2,a1)),
% 15.07/15.13 inference(scs_inference,[],[89,94,107,315,93,92,2567,2,64,69,3,223,224,308,71,296,84])).
% 15.07/15.13 cnf(2586,plain,
% 15.07/15.13 (~E(a49,a2)),
% 15.07/15.13 inference(scs_inference,[],[89,94,107,315,320,93,92,2567,1044,2,64,69,3,223,224,308,71,296,84,76,83,178,79])).
% 15.07/15.13 cnf(2593,plain,
% 15.07/15.13 (E(f5(a2,a49),a1)),
% 15.07/15.13 inference(scs_inference,[],[2571,2])).
% 15.07/15.13 cnf(2594,plain,
% 15.07/15.13 (~E(a49,a1)),
% 15.07/15.13 inference(scs_inference,[],[89,2586,2571,2,3])).
% 15.07/15.13 cnf(2598,plain,
% 15.07/15.13 (P7(a1,a2)),
% 15.07/15.13 inference(scs_inference,[],[89,94,96,315,2586,2571,93,2581,2,3,83,178,223])).
% 15.07/15.13 cnf(2611,plain,
% 15.07/15.13 (~E(a1,a49)),
% 15.07/15.13 inference(scs_inference,[],[2594,2593,2598,1044,3,83])).
% 15.07/15.13 cnf(2619,plain,
% 15.07/15.13 (P1(a50)),
% 15.07/15.13 inference(scs_inference,[],[2611,108])).
% 15.07/15.13 cnf(2620,plain,
% 15.07/15.13 (E(f4(a50,a49),a1)),
% 15.07/15.13 inference(scs_inference,[],[2611,110])).
% 15.07/15.13 cnf(2651,plain,
% 15.07/15.13 ($false),
% 15.07/15.13 inference(scs_inference,[],[94,96,2619,2620,2611,322,2594,93,2572,176,2,64,294,69,3,196,205,178,308,336,184]),
% 15.07/15.13 ['proof']).
% 15.07/15.13 % SZS output end Proof
% 15.07/15.13 % Total time :14.410000s
%------------------------------------------------------------------------------