%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC385+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 : n029.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 16:15:19 EDT 2024
% Result : Theorem 0.52s 0.70s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC385+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n029.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 04:39:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 0.52/0.69 %-------------------------------------------
% 0.52/0.69 % File :CSE---1.7
% 0.52/0.69 % Problem :theBenchmark
% 0.52/0.69 % Transform :cnf
% 0.52/0.69 % Format :tptp:raw
% 0.52/0.69 % Command :java -jar mcs_scs.jar %d %s
% 0.52/0.69
% 0.52/0.69 % Result :Theorem 0.030000s
% 0.52/0.69 % Output :CNFRefutation 0.030000s
% 0.52/0.69 %-------------------------------------------
% 0.52/0.69 %--------------------------------------------------------------------------
% 0.52/0.69 % File : SWC385+1 : TPTP v8.2.0. Released v2.4.0.
% 0.52/0.69 % Domain : Software Creation
% 0.52/0.69 % Problem : cond_some2_x_some_total3
% 0.52/0.69 % Version : [Wei00] axioms.
% 0.52/0.69 % English : Find components in a software library that match a given target
% 0.52/0.69 % specification given in first-order logic. The components are
% 0.52/0.69 % specified in first-order logic as well. The problem represents
% 0.52/0.69 % a test of one library module specification against a target
% 0.52/0.69 % specification.
% 0.52/0.69
% 0.52/0.69 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.52/0.69 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.52/0.69 % Source : [Wei00]
% 0.52/0.69 % Names : cond_some2_x_some_total3 [Wei00]
% 0.52/0.69
% 0.52/0.69 % Status : Theorem
% 0.52/0.69 % Rating : 0.14 v8.2.0, 0.11 v7.5.0, 0.12 v7.4.0, 0.10 v7.3.0, 0.17 v7.1.0, 0.13 v7.0.0, 0.10 v6.4.0, 0.12 v6.2.0, 0.20 v6.1.0, 0.17 v6.0.0, 0.13 v5.5.0, 0.11 v5.3.0, 0.19 v5.2.0, 0.10 v5.0.0, 0.04 v4.0.1, 0.13 v4.0.0, 0.12 v3.7.0, 0.10 v3.5.0, 0.11 v3.3.0, 0.00 v3.2.0, 0.09 v3.1.0, 0.11 v2.7.0, 0.17 v2.5.0, 0.00 v2.4.0
% 0.52/0.69 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 0.52/0.69 % Number of atoms : 406 ( 73 equ)
% 0.52/0.69 % Maximal formula atoms : 12 ( 4 avg)
% 0.52/0.69 % Number of connectives : 339 ( 29 ~; 13 |; 40 &)
% 0.52/0.69 % ( 26 <=>; 231 =>; 0 <=; 0 <~>)
% 0.52/0.69 % Maximal formula depth : 17 ( 7 avg)
% 0.52/0.69 % Maximal term depth : 4 ( 1 avg)
% 0.52/0.69 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.52/0.69 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 0.52/0.69 % Number of variables : 207 ( 194 !; 13 ?)
% 0.52/0.69 % SPC : FOF_THM_RFO_SEQ
% 0.52/0.69
% 0.52/0.69 % Comments :
% 0.52/0.69 %--------------------------------------------------------------------------
% 0.52/0.69 %----Include list specification axioms
% 0.52/0.69 include('Axioms/SWC001+0.ax').
% 0.52/0.69 %--------------------------------------------------------------------------
% 0.52/0.69 fof(co1,conjecture,
% 0.52/0.69 ! [U] :
% 0.52/0.69 ( ssList(U)
% 0.52/0.69 => ! [V] :
% 0.52/0.69 ( ssList(V)
% 0.52/0.69 => ! [W] :
% 0.52/0.69 ( ssList(W)
% 0.52/0.69 => ! [X] :
% 0.52/0.69 ( ssList(X)
% 0.52/0.69 => ( V != X
% 0.52/0.69 | U != W
% 0.52/0.69 | ~ neq(V,nil)
% 0.52/0.69 | ~ segmentP(X,W)
% 0.52/0.69 | ( ~ singletonP(W)
% 0.52/0.69 & neq(X,nil) )
% 0.52/0.70 | ( singletonP(U)
% 0.52/0.70 & segmentP(V,U) ) ) ) ) ) ) ).
% 0.52/0.70
% 0.52/0.70 %--------------------------------------------------------------------------
% 0.52/0.70 %-------------------------------------------
% 0.52/0.70 % Proof found
% 0.52/0.70 % SZS status Theorem for theBenchmark
% 0.52/0.70 % SZS output start Proof
% 0.52/0.70 %ClaNum:286(EqnAxiom:88)
% 0.52/0.70 %VarNum:1008(SingletonVarNum:327)
% 0.52/0.70 %MaxLitNum:10
% 0.52/0.70 %MaxfuncDepth:4
% 0.52/0.70 %SharedTerms:31
% 0.52/0.70 %goalClause: 89 90 94 95 96 97 105 106 123 166
% 0.52/0.70 %singleGoalClaCount:8
% 0.52/0.70 [89]E(a1,a2)
% 0.52/0.70 [90]E(a46,a48)
% 0.52/0.70 [91]P1(a3)
% 0.52/0.70 [92]P1(a16)
% 0.52/0.70 [93]P15(a49)
% 0.52/0.70 [94]P15(a2)
% 0.52/0.70 [95]P15(a46)
% 0.52/0.70 [96]P15(a1)
% 0.52/0.70 [97]P15(a48)
% 0.52/0.70 [98]P2(a49)
% 0.52/0.70 [99]P16(a49)
% 0.52/0.70 [100]P17(a49)
% 0.52/0.70 [101]P19(a49)
% 0.52/0.70 [102]P18(a49)
% 0.52/0.70 [103]P3(a49)
% 0.52/0.70 [104]P4(a49)
% 0.52/0.70 [105]P5(a46,a49)
% 0.52/0.70 [106]P12(a48,a1)
% 0.52/0.70 [107]~E(a16,a3)
% 0.52/0.70 [108]~P14(a49)
% 0.52/0.70 [123]P14(a1)+~P5(a48,a49)
% 0.52/0.70 [166]~P14(a2)+~P12(a46,a2)
% 0.52/0.70 [117]~P15(x1171)+P6(x1171,a49)
% 0.52/0.70 [118]~P15(x1181)+P13(x1181,a49)
% 0.52/0.70 [119]~P15(x1191)+P12(x1191,a49)
% 0.52/0.70 [124]~P15(x1241)+P6(x1241,x1241)
% 0.52/0.70 [125]~P15(x1251)+P13(x1251,x1251)
% 0.52/0.70 [126]~P15(x1261)+P12(x1261,x1261)
% 0.52/0.70 [127]~P1(x1271)+P7(x1271,x1271)
% 0.52/0.70 [128]~P1(x1281)+P8(x1281,x1281)
% 0.52/0.70 [169]~P1(x1691)+~P10(a49,x1691)
% 0.52/0.70 [173]~P11(x1731,x1731)+~P1(x1731)
% 0.52/0.70 [121]~P15(x1211)+E(f4(x1211,a49),x1211)
% 0.52/0.70 [122]~P15(x1221)+E(f4(a49,x1221),x1221)
% 0.52/0.70 [178]~P1(x1781)+P2(f6(x1781,a49))
% 0.52/0.70 [179]~P1(x1791)+P16(f6(x1791,a49))
% 0.52/0.70 [180]~P1(x1801)+P17(f6(x1801,a49))
% 0.52/0.70 [181]~P1(x1811)+P19(f6(x1811,a49))
% 0.52/0.70 [182]~P1(x1821)+P18(f6(x1821,a49))
% 0.52/0.70 [183]~P1(x1831)+P3(f6(x1831,a49))
% 0.52/0.70 [184]~P1(x1841)+P4(f6(x1841,a49))
% 0.52/0.70 [163]~P15(x1631)+~E(a49,x1631)+P6(a49,x1631)
% 0.52/0.70 [164]~P15(x1641)+~E(a49,x1641)+P13(a49,x1641)
% 0.52/0.70 [165]~P15(x1651)+~E(a49,x1651)+P12(a49,x1651)
% 0.52/0.70 [170]~P15(x1701)+~P6(a49,x1701)+E(a49,x1701)
% 0.52/0.70 [171]~P15(x1711)+~P13(a49,x1711)+E(a49,x1711)
% 0.52/0.70 [172]~P15(x1721)+~P12(a49,x1721)+E(a49,x1721)
% 0.52/0.70 [109]~P15(x1091)+E(f50(x1091),f27(x1091))+E(a49,x1091)
% 0.52/0.70 [110]~P15(x1101)+E(f56(x1101),f45(x1101))+E(a49,x1101)
% 0.52/0.70 [111]~P15(x1111)+E(a49,x1111)+P1(f50(x1111))
% 0.52/0.70 [112]~P15(x1121)+E(a49,x1121)+P1(f28(x1121))
% 0.52/0.70 [113]~P15(x1131)+E(a49,x1131)+P1(f27(x1131))
% 0.52/0.70 [114]~P15(x1141)+E(a49,x1141)+P15(f56(x1141))
% 0.52/0.70 [115]~P15(x1151)+E(a49,x1151)+P15(f29(x1151))
% 0.52/0.70 [116]~P15(x1161)+E(a49,x1161)+P15(f45(x1161))
% 0.52/0.70 [120]P3(x1201)+~P15(x1201)+E(f30(x1201),f36(x1201))
% 0.52/0.70 [129]~P15(x1291)+P2(x1291)+P1(f5(x1291))
% 0.52/0.70 [130]~P15(x1301)+P2(x1301)+P1(f7(x1301))
% 0.52/0.70 [131]~P15(x1311)+P2(x1311)+P15(f8(x1311))
% 0.52/0.70 [132]~P15(x1321)+P2(x1321)+P15(f9(x1321))
% 0.52/0.70 [133]~P15(x1331)+P2(x1331)+P15(f10(x1331))
% 0.52/0.70 [134]~P15(x1341)+P16(x1341)+P1(f11(x1341))
% 0.52/0.70 [135]~P15(x1351)+P16(x1351)+P1(f12(x1351))
% 0.52/0.70 [136]~P15(x1361)+P16(x1361)+P15(f13(x1361))
% 0.52/0.70 [137]~P15(x1371)+P16(x1371)+P15(f14(x1371))
% 0.52/0.70 [138]~P15(x1381)+P16(x1381)+P15(f15(x1381))
% 0.52/0.70 [139]~P15(x1391)+P17(x1391)+P1(f17(x1391))
% 0.52/0.70 [140]~P15(x1401)+P17(x1401)+P1(f18(x1401))
% 0.52/0.70 [141]~P15(x1411)+P17(x1411)+P15(f19(x1411))
% 0.52/0.70 [142]~P15(x1421)+P17(x1421)+P15(f20(x1421))
% 0.52/0.70 [143]~P15(x1431)+P17(x1431)+P15(f21(x1431))
% 0.52/0.70 [144]~P15(x1441)+P19(x1441)+P1(f22(x1441))
% 0.52/0.70 [145]~P15(x1451)+P19(x1451)+P1(f23(x1451))
% 0.52/0.70 [146]~P15(x1461)+P19(x1461)+P15(f24(x1461))
% 0.52/0.70 [147]~P15(x1471)+P19(x1471)+P15(f25(x1471))
% 0.52/0.70 [148]~P15(x1481)+P19(x1481)+P15(f26(x1481))
% 0.52/0.70 [149]~P15(x1491)+P18(x1491)+P1(f31(x1491))
% 0.52/0.70 [150]~P15(x1501)+P18(x1501)+P1(f32(x1501))
% 0.52/0.70 [151]~P15(x1511)+P18(x1511)+P15(f33(x1511))
% 0.52/0.70 [152]~P15(x1521)+P18(x1521)+P15(f34(x1521))
% 0.52/0.70 [153]~P15(x1531)+P18(x1531)+P15(f35(x1531))
% 0.52/0.70 [154]~P15(x1541)+P3(x1541)+P1(f30(x1541))
% 0.52/0.70 [155]~P15(x1551)+P3(x1551)+P1(f36(x1551))
% 0.52/0.70 [156]~P15(x1561)+P3(x1561)+P15(f37(x1561))
% 0.52/0.70 [157]~P15(x1571)+P3(x1571)+P15(f38(x1571))
% 0.52/0.70 [158]~P15(x1581)+P3(x1581)+P15(f39(x1581))
% 0.52/0.70 [159]~P15(x1591)+P4(x1591)+P1(f40(x1591))
% 0.52/0.70 [160]~P15(x1601)+P4(x1601)+P1(f42(x1601))
% 0.52/0.70 [161]~P15(x1611)+P4(x1611)+P15(f43(x1611))
% 0.52/0.70 [162]~P15(x1621)+P4(x1621)+P15(f44(x1621))
% 0.52/0.70 [167]~P15(x1671)+P4(x1671)+~E(f42(x1671),f40(x1671))
% 0.52/0.70 [168]~P15(x1681)+~P14(x1681)+P1(f51(x1681))
% 0.52/0.70 [189]~P15(x1891)+P2(x1891)+P7(f5(x1891),f7(x1891))
% 0.52/0.70 [190]~P15(x1901)+P2(x1901)+P7(f7(x1901),f5(x1901))
% 0.52/0.70 [210]~P15(x2101)+P16(x2101)+~P7(f11(x2101),f12(x2101))
% 0.52/0.70 [211]~P15(x2111)+P16(x2111)+~P7(f12(x2111),f11(x2111))
% 0.52/0.70 [212]~P15(x2121)+P17(x2121)+~P11(f17(x2121),f18(x2121))
% 0.52/0.70 [213]~P15(x2131)+P17(x2131)+~P11(f18(x2131),f17(x2131))
% 0.52/0.70 [214]~P15(x2141)+P19(x2141)+~P7(f22(x2141),f23(x2141))
% 0.52/0.70 [215]~P15(x2151)+P18(x2151)+~P11(f31(x2151),f32(x2151))
% 0.52/0.70 [177]~P15(x1771)+~P14(x1771)+E(f6(f51(x1771),a49),x1771)
% 0.52/0.70 [185]~P15(x1851)+E(a49,x1851)+E(f6(f50(x1851),f56(x1851)),x1851)
% 0.52/0.70 [186]~P15(x1861)+E(a49,x1861)+E(f6(f28(x1861),f29(x1861)),x1861)
% 0.52/0.70 [275]P2(x2751)+~P15(x2751)+E(f4(f4(f8(x2751),f6(f5(x2751),f9(x2751))),f6(f7(x2751),f10(x2751))),x2751)
% 0.52/0.70 [276]P16(x2761)+~P15(x2761)+E(f4(f4(f13(x2761),f6(f11(x2761),f14(x2761))),f6(f12(x2761),f15(x2761))),x2761)
% 0.52/0.70 [277]P17(x2771)+~P15(x2771)+E(f4(f4(f19(x2771),f6(f17(x2771),f20(x2771))),f6(f18(x2771),f21(x2771))),x2771)
% 0.52/0.70 [278]P19(x2781)+~P15(x2781)+E(f4(f4(f24(x2781),f6(f22(x2781),f25(x2781))),f6(f23(x2781),f26(x2781))),x2781)
% 0.52/0.70 [279]P18(x2791)+~P15(x2791)+E(f4(f4(f33(x2791),f6(f31(x2791),f34(x2791))),f6(f32(x2791),f35(x2791))),x2791)
% 0.52/0.70 [280]P3(x2801)+~P15(x2801)+E(f4(f4(f37(x2801),f6(f30(x2801),f38(x2801))),f6(f36(x2801),f39(x2801))),x2801)
% 0.52/0.70 [273]P4(x2731)+~P15(x2731)+E(f4(f43(x2731),f6(f40(x2731),f6(f42(x2731),f44(x2731)))),x2731)
% 0.52/0.70 [187]~P1(x1871)+~P15(x1872)+~E(f6(x1871,x1872),a49)
% 0.52/0.70 [188]~P1(x1881)+~P15(x1882)+~E(f6(x1881,x1882),x1882)
% 0.52/0.70 [197]~P1(x1971)+~P15(x1972)+P15(f6(x1971,x1972))
% 0.52/0.70 [198]~P15(x1982)+~P15(x1981)+P15(f4(x1981,x1982))
% 0.52/0.70 [199]~P1(x1991)+~P15(x1992)+E(f50(f6(x1991,x1992)),x1991)
% 0.52/0.70 [200]~P1(x2001)+~P15(x2002)+E(f56(f6(x2001,x2002)),x2002)
% 0.52/0.70 [227]~P1(x2271)+~P15(x2272)+E(f4(f6(x2271,a49),x2272),f6(x2271,x2272))
% 0.52/0.70 [174]P5(x1741,x1742)+~P1(x1742)+~P1(x1741)+E(x1741,x1742)
% 0.52/0.70 [175]P5(x1751,x1752)+~P15(x1752)+~P15(x1751)+E(x1751,x1752)
% 0.52/0.70 [194]~P1(x1942)+~P1(x1941)+~P5(x1941,x1942)+~E(x1941,x1942)
% 0.52/0.70 [195]~P1(x1952)+~P1(x1951)+~P11(x1951,x1952)+~E(x1951,x1952)
% 0.52/0.70 [196]~P15(x1962)+~P15(x1961)+~P5(x1961,x1962)+~E(x1961,x1962)
% 0.52/0.70 [205]~P1(x2051)+~P1(x2052)+~P8(x2052,x2051)+P7(x2051,x2052)
% 0.52/0.70 [206]~P1(x2062)+~P1(x2061)+~P11(x2061,x2062)+P7(x2061,x2062)
% 0.52/0.70 [207]~P1(x2071)+~P1(x2072)+~P9(x2072,x2071)+P11(x2071,x2072)
% 0.52/0.70 [208]~P1(x2081)+~P1(x2082)+~P7(x2082,x2081)+P8(x2081,x2082)
% 0.52/0.70 [209]~P1(x2091)+~P1(x2092)+~P11(x2092,x2091)+P9(x2091,x2092)
% 0.52/0.70 [218]~P11(x2181,x2182)+~P11(x2182,x2181)+~P1(x2181)+~P1(x2182)
% 0.52/0.70 [219]~P9(x2191,x2192)+~P9(x2192,x2191)+~P1(x2191)+~P1(x2192)
% 0.52/0.70 [191]~P15(x1912)+~P15(x1911)+E(a49,x1911)+~E(f4(x1912,x1911),a49)
% 0.52/0.70 [192]~P15(x1922)+~P15(x1921)+E(a49,x1921)+~E(f4(x1921,x1922),a49)
% 0.52/0.70 [193]~P1(x1932)+~P15(x1931)+P14(x1931)+~E(f6(x1932,a49),x1931)
% 0.52/0.70 [202]~P1(x2021)+~P15(x2022)+~E(a49,x2022)+P19(f6(x2021,x2022))
% 0.52/0.70 [203]~P1(x2031)+~P15(x2032)+~E(a49,x2032)+P18(f6(x2031,x2032))
% 0.52/0.70 [230]~P1(x2302)+~P15(x2301)+~P10(x2301,x2302)+P15(f41(x2301,x2302))
% 0.52/0.70 [231]~P1(x2312)+~P15(x2311)+~P10(x2311,x2312)+P15(f47(x2311,x2312))
% 0.52/0.70 [232]~P15(x2322)+~P15(x2321)+~P6(x2321,x2322)+P15(f52(x2321,x2322))
% 0.52/0.70 [233]~P15(x2332)+~P15(x2331)+~P13(x2331,x2332)+P15(f53(x2331,x2332))
% 0.52/0.70 [234]~P15(x2342)+~P15(x2341)+~P12(x2341,x2342)+P15(f54(x2341,x2342))
% 0.52/0.70 [235]~P15(x2352)+~P15(x2351)+~P12(x2351,x2352)+P15(f55(x2351,x2352))
% 0.52/0.70 [204]~P15(x2042)+~P15(x2041)+E(a49,x2041)+E(f50(f4(x2041,x2042)),f50(x2041))
% 0.52/0.70 [229]~P15(x2292)+~P15(x2291)+E(a49,x2291)+E(f56(f4(x2291,x2292)),f4(f56(x2291),x2292))
% 0.52/0.70 [242]~P15(x2422)+~P15(x2421)+~P6(x2422,x2421)+E(f4(x2421,f52(x2422,x2421)),x2422)
% 0.52/0.70 [243]~P15(x2432)+~P15(x2431)+~P13(x2431,x2432)+E(f4(f53(x2431,x2432),x2432),x2431)
% 0.52/0.70 [272]~P15(x2722)+~P15(x2721)+~P12(x2721,x2722)+E(f4(f4(f54(x2721,x2722),x2722),f55(x2721,x2722)),x2721)
% 0.52/0.70 [271]~P1(x2712)+~P15(x2711)+~P10(x2711,x2712)+E(f4(f41(x2711,x2712),f6(x2712,f47(x2711,x2712))),x2711)
% 0.52/0.70 [261]~P1(x2611)+~P15(x2612)+~P15(x2613)+E(f6(x2611,f4(x2612,x2613)),f4(f6(x2611,x2612),x2613))
% 0.52/0.70 [262]~P15(x2623)+~P15(x2622)+~P15(x2621)+E(f4(f4(x2621,x2622),x2623),f4(x2621,f4(x2622,x2623)))
% 0.52/0.70 [217]P11(x2171,x2172)+~P1(x2172)+~P1(x2171)+~P7(x2171,x2172)+E(x2171,x2172)
% 0.52/0.70 [222]~P1(x2222)+~P1(x2221)+~P7(x2222,x2221)+~P7(x2221,x2222)+E(x2221,x2222)
% 0.52/0.70 [223]~P1(x2232)+~P1(x2231)+~P8(x2232,x2231)+~P8(x2231,x2232)+E(x2231,x2232)
% 0.52/0.70 [224]~P15(x2242)+~P15(x2241)+~P6(x2242,x2241)+~P6(x2241,x2242)+E(x2241,x2242)
% 0.52/0.70 [225]~P15(x2252)+~P15(x2251)+~P13(x2252,x2251)+~P13(x2251,x2252)+E(x2251,x2252)
% 0.52/0.70 [226]~P15(x2262)+~P15(x2261)+~P12(x2262,x2261)+~P12(x2261,x2262)+E(x2261,x2262)
% 0.52/0.70 [176]~P15(x1761)+~P15(x1762)+~E(a49,x1761)+~E(a49,x1762)+E(f4(x1761,x1762),a49)
% 0.52/0.70 [238]P19(x2381)+~P15(x2381)+~P1(x2382)+E(a49,x2381)+~P19(f6(x2382,x2381))
% 0.52/0.70 [239]P18(x2391)+~P15(x2391)+~P1(x2392)+E(a49,x2391)+~P18(f6(x2392,x2391))
% 0.52/0.70 [252]~P1(x2522)+~P15(x2521)+E(a49,x2521)+P7(x2522,f50(x2521))+~P19(f6(x2522,x2521))
% 0.52/0.70 [253]~P1(x2532)+~P15(x2531)+E(a49,x2531)+P11(x2532,f50(x2531))+~P18(f6(x2532,x2531))
% 0.52/0.70 [220]~P15(x2201)+~P15(x2202)+~P15(x2203)+P6(x2201,x2202)+~E(f4(x2202,x2203),x2201)
% 0.52/0.70 [221]~P15(x2211)+~P15(x2212)+~P15(x2213)+P13(x2211,x2212)+~E(f4(x2213,x2212),x2211)
% 0.52/0.70 [228]~E(x2283,x2281)+~P1(x2281)+~P1(x2283)+~P15(x2282)+P10(f6(x2281,x2282),x2283)
% 0.52/0.70 [236]~P15(x2362)+~P15(x2363)+~P15(x2361)+E(x2361,x2362)+~E(f4(x2363,x2361),f4(x2363,x2362))
% 0.52/0.70 [237]~P15(x2372)+~P15(x2373)+~P15(x2371)+E(x2371,x2372)+~E(f4(x2371,x2373),f4(x2372,x2373))
% 0.52/0.70 [254]~P1(x2541)+~P1(x2543)+~P15(x2542)+~P10(x2542,x2543)+P10(f6(x2541,x2542),x2543)
% 0.52/0.70 [255]~P1(x2553)+~P15(x2551)+~P15(x2552)+~P10(x2552,x2553)+P10(f4(x2551,x2552),x2553)
% 0.52/0.70 [256]~P1(x2563)+~P15(x2562)+~P15(x2561)+~P10(x2561,x2563)+P10(f4(x2561,x2562),x2563)
% 0.52/0.70 [257]~P15(x2572)+~P15(x2573)+~P15(x2571)+~P6(x2571,x2573)+P6(f4(x2571,x2572),x2573)
% 0.52/0.70 [258]~P15(x2581)+~P15(x2583)+~P15(x2582)+~P13(x2582,x2583)+P13(f4(x2581,x2582),x2583)
% 0.52/0.70 [259]~P1(x2592)+~P15(x2591)+~P19(x2591)+~P7(x2592,f50(x2591))+E(a49,x2591)+P19(f6(x2592,x2591))
% 0.52/0.70 [260]~P1(x2602)+~P15(x2601)+~P18(x2601)+~P11(x2602,f50(x2601))+E(a49,x2601)+P18(f6(x2602,x2601))
% 0.52/0.70 [244]~P15(x2442)+~P15(x2441)+~P6(x2443,x2442)+~P6(x2441,x2443)+P6(x2441,x2442)+~P15(x2443)
% 0.52/0.70 [245]~P15(x2452)+~P15(x2451)+~P13(x2453,x2452)+~P13(x2451,x2453)+P13(x2451,x2452)+~P15(x2453)
% 0.52/0.70 [246]~P15(x2462)+~P15(x2461)+~P12(x2463,x2462)+~P12(x2461,x2463)+P12(x2461,x2462)+~P15(x2463)
% 0.52/0.70 [247]~P1(x2472)+~P1(x2471)+~P7(x2473,x2472)+~P7(x2471,x2473)+P7(x2471,x2472)+~P1(x2473)
% 0.52/0.70 [248]~P1(x2482)+~P1(x2481)+~P7(x2481,x2483)+~P11(x2483,x2482)+P11(x2481,x2482)+~P1(x2483)
% 0.52/0.70 [249]~P1(x2492)+~P1(x2491)+~P11(x2493,x2492)+~P11(x2491,x2493)+P11(x2491,x2492)+~P1(x2493)
% 0.52/0.70 [250]~P1(x2502)+~P1(x2501)+~P8(x2503,x2502)+~P8(x2501,x2503)+P8(x2501,x2502)+~P1(x2503)
% 0.52/0.70 [251]~P1(x2512)+~P1(x2511)+~P9(x2513,x2512)+~P9(x2511,x2513)+P9(x2511,x2512)+~P1(x2513)
% 0.52/0.70 [263]~P1(x2632)+~P1(x2631)+~P15(x2633)+E(x2631,x2632)+P10(x2633,x2632)+~P10(f6(x2631,x2633),x2632)
% 0.52/0.70 [266]~P1(x2662)+~P15(x2661)+~P15(x2663)+P10(x2661,x2662)+P10(x2663,x2662)+~P10(f4(x2663,x2661),x2662)
% 0.52/0.70 [240]~P1(x2404)+~P1(x2403)+~P15(x2402)+~P15(x2401)+E(x2401,x2402)+~E(f6(x2403,x2402),f6(x2404,x2401))
% 0.52/0.70 [241]~P1(x2412)+~P1(x2411)+~P15(x2414)+~P15(x2413)+E(x2411,x2412)+~E(f6(x2411,x2413),f6(x2412,x2414))
% 0.52/0.70 [268]~P1(x2682)+~P1(x2681)+E(x2681,x2682)+~P15(x2683)+~P15(x2684)+~P6(f6(x2681,x2684),f6(x2682,x2683))
% 0.52/0.70 [270]~P15(x2702)+~P15(x2701)+P6(x2701,x2702)+~P1(x2703)+~P1(x2704)+~P6(f6(x2704,x2701),f6(x2703,x2702))
% 0.52/0.70 [264]~P1(x2642)+~P15(x2641)+~P15(x2644)+~P15(x2643)+P10(x2641,x2642)+~E(f4(x2643,f6(x2642,x2644)),x2641)
% 0.52/0.70 [265]~P15(x2651)+~P15(x2652)+~P15(x2654)+~P15(x2653)+P12(x2651,x2652)+~E(f4(f4(x2653,x2652),x2654),x2651)
% 0.52/0.70 [269]~P15(x2693)+~P15(x2691)+~P15(x2694)+~P15(x2692)+~P12(x2692,x2694)+P12(f4(f4(x2691,x2692),x2693),x2694)
% 0.52/0.70 [201]~P15(x2012)+~P15(x2011)+E(x2011,x2012)+E(a49,x2012)+E(a49,x2011)+~E(f50(x2011),f50(x2012))+~E(f56(x2011),f56(x2012))
% 0.52/0.70 [267]~E(x2671,x2673)+~P1(x2673)+~P1(x2671)+~P15(x2674)+~P15(x2672)+~P6(x2672,x2674)+P6(f6(x2671,x2672),f6(x2673,x2674))
% 0.52/0.70 [274]~P1(x2742)+~P1(x2741)+~P15(x2744)+~P15(x2743)+~P15(x2745)+~P4(x2745)+E(x2741,x2742)+~E(f4(x2743,f6(x2741,f6(x2742,x2744))),x2745)
% 0.52/0.70 [281]~P1(x2812)+~P1(x2811)+~P15(x2815)+~P15(x2814)+~P15(x2813)+~P15(x2816)+~P3(x2816)+~E(x2811,x2812)+~E(f4(f4(x2813,f6(x2811,x2814)),f6(x2812,x2815)),x2816)
% 0.52/0.70 [282]~P1(x2822)+~P1(x2821)+~P15(x2825)+~P15(x2824)+~P15(x2823)+~P15(x2826)+~P19(x2826)+P7(x2821,x2822)+~E(f4(f4(x2823,f6(x2821,x2824)),f6(x2822,x2825)),x2826)
% 0.52/0.71 [283]~P1(x2832)+~P1(x2831)+~P15(x2835)+~P15(x2834)+~P15(x2833)+~P15(x2836)+~P18(x2836)+P11(x2831,x2832)+~E(f4(f4(x2833,f6(x2831,x2834)),f6(x2832,x2835)),x2836)
% 0.52/0.71 [284]P7(x2842,x2841)+~P1(x2841)+~P1(x2842)+~P15(x2845)+~P15(x2844)+~P15(x2843)+~P15(x2846)+~P16(x2846)+P7(x2841,x2842)+~E(f4(f4(x2843,f6(x2842,x2844)),f6(x2841,x2845)),x2846)
% 0.52/0.71 [285]P11(x2852,x2851)+~P1(x2851)+~P1(x2852)+~P15(x2855)+~P15(x2854)+~P15(x2853)+~P15(x2856)+~P17(x2856)+P11(x2851,x2852)+~E(f4(f4(x2853,f6(x2852,x2854)),f6(x2851,x2855)),x2856)
% 0.52/0.71 [286]~P1(x2864)+~P1(x2862)+~P15(x2865)+~P15(x2863)+~P15(x2861)+~P15(x2866)+~P2(x2866)+~P7(x2864,x2862)+~P7(x2862,x2864)+~E(f4(f4(x2861,f6(x2862,x2863)),f6(x2864,x2865)),x2866)
% 0.52/0.71 %EqnAxiom
% 0.52/0.71 [1]E(x11,x11)
% 0.52/0.71 [2]E(x22,x21)+~E(x21,x22)
% 0.52/0.71 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.52/0.71 [4]~E(x41,x42)+E(f50(x41),f50(x42))
% 0.52/0.71 [5]~E(x51,x52)+E(f27(x51),f27(x52))
% 0.52/0.71 [6]~E(x61,x62)+E(f56(x61),f56(x62))
% 0.52/0.71 [7]~E(x71,x72)+E(f45(x71),f45(x72))
% 0.52/0.71 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 0.52/0.71 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 0.52/0.71 [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 0.52/0.71 [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 0.52/0.71 [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 0.52/0.71 [13]~E(x131,x132)+E(f44(x131),f44(x132))
% 0.52/0.71 [14]~E(x141,x142)+E(f29(x141),f29(x142))
% 0.52/0.71 [15]~E(x151,x152)+E(f42(x151),f42(x152))
% 0.52/0.71 [16]~E(x161,x162)+E(f30(x161),f30(x162))
% 0.52/0.71 [17]~E(x171,x172)+E(f36(x171),f36(x172))
% 0.52/0.71 [18]~E(x181,x182)+E(f40(x181),f40(x182))
% 0.52/0.71 [19]~E(x191,x192)+E(f43(x191),f43(x192))
% 0.52/0.71 [20]~E(x201,x202)+E(f5(x201),f5(x202))
% 0.52/0.71 [21]~E(x211,x212)+E(f7(x211),f7(x212))
% 0.52/0.71 [22]~E(x221,x222)+E(f8(x221),f8(x222))
% 0.52/0.71 [23]~E(x231,x232)+E(f9(x231),f9(x232))
% 0.52/0.71 [24]~E(x241,x242)+E(f10(x241),f10(x242))
% 0.52/0.71 [25]~E(x251,x252)+E(f11(x251),f11(x252))
% 0.52/0.71 [26]~E(x261,x262)+E(f12(x261),f12(x262))
% 0.52/0.71 [27]~E(x271,x272)+E(f13(x271),f13(x272))
% 0.52/0.71 [28]~E(x281,x282)+E(f14(x281),f14(x282))
% 0.52/0.71 [29]~E(x291,x292)+E(f15(x291),f15(x292))
% 0.52/0.71 [30]~E(x301,x302)+E(f17(x301),f17(x302))
% 0.52/0.71 [31]~E(x311,x312)+E(f18(x311),f18(x312))
% 0.52/0.71 [32]~E(x321,x322)+E(f19(x321),f19(x322))
% 0.52/0.71 [33]~E(x331,x332)+E(f20(x331),f20(x332))
% 0.52/0.71 [34]~E(x341,x342)+E(f21(x341),f21(x342))
% 0.52/0.71 [35]~E(x351,x352)+E(f22(x351),f22(x352))
% 0.52/0.71 [36]~E(x361,x362)+E(f23(x361),f23(x362))
% 0.52/0.71 [37]~E(x371,x372)+E(f24(x371),f24(x372))
% 0.52/0.71 [38]~E(x381,x382)+E(f25(x381),f25(x382))
% 0.52/0.71 [39]~E(x391,x392)+E(f26(x391),f26(x392))
% 0.52/0.71 [40]~E(x401,x402)+E(f31(x401),f31(x402))
% 0.52/0.71 [41]~E(x411,x412)+E(f32(x411),f32(x412))
% 0.52/0.71 [42]~E(x421,x422)+E(f33(x421),f33(x422))
% 0.52/0.71 [43]~E(x431,x432)+E(f34(x431),f34(x432))
% 0.52/0.71 [44]~E(x441,x442)+E(f35(x441),f35(x442))
% 0.52/0.71 [45]~E(x451,x452)+E(f53(x451,x453),f53(x452,x453))
% 0.52/0.71 [46]~E(x461,x462)+E(f53(x463,x461),f53(x463,x462))
% 0.52/0.71 [47]~E(x471,x472)+E(f37(x471),f37(x472))
% 0.52/0.71 [48]~E(x481,x482)+E(f41(x481,x483),f41(x482,x483))
% 0.52/0.71 [49]~E(x491,x492)+E(f41(x493,x491),f41(x493,x492))
% 0.52/0.71 [50]~E(x501,x502)+E(f38(x501),f38(x502))
% 0.52/0.71 [51]~E(x511,x512)+E(f39(x511),f39(x512))
% 0.52/0.71 [52]~E(x521,x522)+E(f54(x521,x523),f54(x522,x523))
% 0.52/0.71 [53]~E(x531,x532)+E(f54(x533,x531),f54(x533,x532))
% 0.52/0.71 [54]~E(x541,x542)+E(f47(x541,x543),f47(x542,x543))
% 0.52/0.71 [55]~E(x551,x552)+E(f47(x553,x551),f47(x553,x552))
% 0.52/0.71 [56]~E(x561,x562)+E(f55(x561,x563),f55(x562,x563))
% 0.52/0.71 [57]~E(x571,x572)+E(f55(x573,x571),f55(x573,x572))
% 0.52/0.71 [58]~E(x581,x582)+E(f52(x581,x583),f52(x582,x583))
% 0.52/0.71 [59]~E(x591,x592)+E(f52(x593,x591),f52(x593,x592))
% 0.52/0.71 [60]~E(x601,x602)+E(f51(x601),f51(x602))
% 0.52/0.71 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 0.52/0.71 [62]P7(x622,x623)+~E(x621,x622)+~P7(x621,x623)
% 0.52/0.71 [63]P7(x633,x632)+~E(x631,x632)+~P7(x633,x631)
% 0.52/0.71 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 0.52/0.71 [65]P10(x652,x653)+~E(x651,x652)+~P10(x651,x653)
% 0.52/0.71 [66]P10(x663,x662)+~E(x661,x662)+~P10(x663,x661)
% 0.52/0.71 [67]~P18(x671)+P18(x672)+~E(x671,x672)
% 0.52/0.71 [68]~P3(x681)+P3(x682)+~E(x681,x682)
% 0.52/0.71 [69]~P4(x691)+P4(x692)+~E(x691,x692)
% 0.52/0.71 [70]~P2(x701)+P2(x702)+~E(x701,x702)
% 0.52/0.71 [71]~P16(x711)+P16(x712)+~E(x711,x712)
% 0.52/0.71 [72]~P17(x721)+P17(x722)+~E(x721,x722)
% 0.52/0.71 [73]~P19(x731)+P19(x732)+~E(x731,x732)
% 0.52/0.71 [74]P5(x742,x743)+~E(x741,x742)+~P5(x741,x743)
% 0.52/0.71 [75]P5(x753,x752)+~E(x751,x752)+~P5(x753,x751)
% 0.52/0.71 [76]P6(x762,x763)+~E(x761,x762)+~P6(x761,x763)
% 0.52/0.71 [77]P6(x773,x772)+~E(x771,x772)+~P6(x773,x771)
% 0.52/0.71 [78]P12(x782,x783)+~E(x781,x782)+~P12(x781,x783)
% 0.52/0.71 [79]P12(x793,x792)+~E(x791,x792)+~P12(x793,x791)
% 0.52/0.71 [80]P8(x802,x803)+~E(x801,x802)+~P8(x801,x803)
% 0.52/0.71 [81]P8(x813,x812)+~E(x811,x812)+~P8(x813,x811)
% 0.52/0.71 [82]P11(x822,x823)+~E(x821,x822)+~P11(x821,x823)
% 0.52/0.71 [83]P11(x833,x832)+~E(x831,x832)+~P11(x833,x831)
% 0.52/0.71 [84]~P14(x841)+P14(x842)+~E(x841,x842)
% 0.52/0.71 [85]P13(x852,x853)+~E(x851,x852)+~P13(x851,x853)
% 0.52/0.71 [86]P13(x863,x862)+~E(x861,x862)+~P13(x863,x861)
% 0.52/0.71 [87]P9(x872,x873)+~E(x871,x872)+~P9(x871,x873)
% 0.52/0.71 [88]P9(x883,x882)+~E(x881,x882)+~P9(x883,x881)
% 0.52/0.71
% 0.52/0.71 %-------------------------------------------
% 0.52/0.71 cnf(291,plain,
% 0.52/0.71 (~P5(x2911,x2911)+~P1(x2911)+~P1(x2911)),
% 0.52/0.71 inference(equality_inference,[],[194])).
% 0.52/0.71 cnf(293,plain,
% 0.52/0.71 (~P5(x2931,x2931)+~P15(x2931)+~P15(x2931)),
% 0.52/0.71 inference(equality_inference,[],[196])).
% 0.52/0.71 cnf(319,plain,
% 0.52/0.71 (P5(a48,a49)),
% 0.52/0.71 inference(scs_inference,[],[89,90,94,105,91,2,173,291,293,74])).
% 0.52/0.71 cnf(327,plain,
% 0.52/0.71 (P14(a1)),
% 0.52/0.71 inference(scs_inference,[],[319,123])).
% 0.52/0.71 cnf(336,plain,
% 0.52/0.71 (P12(a46,a2)),
% 0.52/0.71 inference(scs_inference,[],[89,90,96,106,92,173,2,78,291,293,79])).
% 0.52/0.71 cnf(343,plain,
% 0.52/0.71 (~P14(a1)+P14(a2)),
% 0.52/0.71 inference(scs_inference,[],[89,90,96,97,106,105,319,92,93,173,2,78,291,293,79,196,71,72,73,75,84])).
% 0.52/0.71 cnf(346,plain,
% 0.52/0.71 (~P14(a2)),
% 0.52/0.71 inference(scs_inference,[],[336,166])).
% 0.52/0.71 cnf(347,plain,
% 0.52/0.71 (P14(a2)),
% 0.52/0.71 inference(scs_inference,[],[327,343])).
% 0.52/0.71 cnf(358,plain,
% 0.52/0.71 ($false),
% 0.52/0.71 inference(scs_inference,[],[346,347]),
% 0.52/0.71 ['proof']).
% 0.52/0.71 % SZS output end Proof
% 0.52/0.71 % Total time :0.030000s
%------------------------------------------------------------------------------