%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC086+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 16:13:55 EDT 2024
% Result : Theorem 0.48s 0.61s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SWC086+1 : TPTP v8.2.0. Released v2.4.0.
% 0.04/0.07 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.06/0.26 % Computer : n020.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Thu Jun 20 03:16:53 EDT 2024
% 0.06/0.26 % CPUTime :
% 0.11/0.42 start to proof:theBenchmark
% 0.48/0.60 %-------------------------------------------
% 0.48/0.60 % File :CSE---1.7
% 0.48/0.60 % Problem :theBenchmark
% 0.48/0.60 % Transform :cnf
% 0.48/0.60 % Format :tptp:raw
% 0.48/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.48/0.60
% 0.48/0.60 % Result :Theorem 0.090000s
% 0.48/0.60 % Output :CNFRefutation 0.090000s
% 0.48/0.60 %-------------------------------------------
% 0.48/0.60 %--------------------------------------------------------------------------
% 0.48/0.61 % File : SWC086+1 : TPTP v8.2.0. Released v2.4.0.
% 0.48/0.61 % Domain : Software Creation
% 0.48/0.61 % Problem : cond_id_segment_x_ne_segment_total2
% 0.48/0.61 % Version : [Wei00] axioms.
% 0.48/0.61 % English : Find components in a software library that match a given target
% 0.48/0.61 % specification given in first-order logic. The components are
% 0.48/0.61 % specified in first-order logic as well. The problem represents
% 0.48/0.61 % a test of one library module specification against a target
% 0.48/0.61 % specification.
% 0.48/0.61
% 0.48/0.61 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.48/0.61 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.48/0.61 % Source : [Wei00]
% 0.48/0.61 % Names : cond_id_segment_x_ne_segment_total2 [Wei00]
% 0.48/0.61
% 0.48/0.61 % Status : Theorem
% 0.48/0.61 % Rating : 0.25 v8.2.0, 0.22 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, 0.17 v7.0.0, 0.13 v6.4.0, 0.15 v6.3.0, 0.17 v6.2.0, 0.32 v6.1.0, 0.27 v6.0.0, 0.17 v5.5.0, 0.26 v5.4.0, 0.32 v5.3.0, 0.37 v5.2.0, 0.30 v5.1.0, 0.29 v4.1.0, 0.26 v4.0.1, 0.35 v4.0.0, 0.33 v3.7.0, 0.25 v3.5.0, 0.21 v3.4.0, 0.32 v3.3.0, 0.21 v3.2.0, 0.09 v3.1.0, 0.22 v2.7.0, 0.33 v2.5.0, 0.17 v2.4.0
% 0.48/0.61 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 0.48/0.61 % Number of atoms : 409 ( 75 equ)
% 0.48/0.61 % Maximal formula atoms : 15 ( 4 avg)
% 0.48/0.61 % Number of connectives : 344 ( 31 ~; 14 |; 42 &)
% 0.48/0.61 % ( 26 <=>; 231 =>; 0 <=; 0 <~>)
% 0.48/0.61 % Maximal formula depth : 17 ( 7 avg)
% 0.48/0.61 % Maximal term depth : 4 ( 1 avg)
% 0.48/0.61 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.48/0.61 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 0.48/0.61 % Number of variables : 208 ( 194 !; 14 ?)
% 0.48/0.61 % SPC : FOF_THM_RFO_SEQ
% 0.48/0.61
% 0.48/0.61 % Comments :
% 0.48/0.61 %--------------------------------------------------------------------------
% 0.48/0.61 %----Include list specification axioms
% 0.48/0.61 include('Axioms/SWC001+0.ax').
% 0.48/0.61 %--------------------------------------------------------------------------
% 0.48/0.61 fof(co1,conjecture,
% 0.48/0.61 ! [U] :
% 0.48/0.61 ( ssList(U)
% 0.48/0.61 => ! [V] :
% 0.48/0.61 ( ssList(V)
% 0.48/0.61 => ! [W] :
% 0.48/0.61 ( ssList(W)
% 0.48/0.61 => ! [X] :
% 0.48/0.61 ( ssList(X)
% 0.48/0.61 => ( V != X
% 0.48/0.61 | U != W
% 0.48/0.61 | ~ neq(V,nil)
% 0.48/0.61 | ? [Y] :
% 0.48/0.61 ( ssList(Y)
% 0.48/0.61 & neq(Y,nil)
% 0.48/0.61 & segmentP(V,Y)
% 0.48/0.61 & segmentP(U,Y) )
% 0.48/0.61 | ( ( nil != X
% 0.48/0.61 | nil != W )
% 0.48/0.61 & ( ~ neq(W,nil)
% 0.48/0.61 | ~ segmentP(X,W) ) ) ) ) ) ) ) ).
% 0.48/0.61
% 0.48/0.61 %--------------------------------------------------------------------------
% 0.48/0.61 %-------------------------------------------
% 0.48/0.61 % Proof found
% 0.48/0.61 % SZS status Theorem for theBenchmark
% 0.48/0.61 % SZS output start Proof
% 0.48/0.61 %ClaNum:288(EqnAxiom:88)
% 0.48/0.61 %VarNum:1012(SingletonVarNum:328)
% 0.48/0.61 %MaxLitNum:10
% 0.48/0.61 %MaxfuncDepth:4
% 0.48/0.61 %SharedTerms:30
% 0.48/0.61 %goalClause: 89 90 94 95 96 97 105 108 109 110 111 239
% 0.48/0.61 %singleGoalClaCount:7
% 0.48/0.61 [89]E(a1,a2)
% 0.48/0.61 [90]E(a46,a48)
% 0.48/0.61 [91]P1(a3)
% 0.48/0.61 [92]P1(a16)
% 0.48/0.61 [93]P15(a49)
% 0.48/0.61 [94]P15(a2)
% 0.48/0.61 [95]P15(a46)
% 0.48/0.61 [96]P15(a1)
% 0.48/0.61 [97]P15(a48)
% 0.48/0.61 [98]P2(a49)
% 0.48/0.61 [99]P16(a49)
% 0.48/0.61 [100]P17(a49)
% 0.48/0.61 [101]P19(a49)
% 0.48/0.61 [102]P18(a49)
% 0.48/0.61 [103]P3(a49)
% 0.48/0.61 [104]P4(a49)
% 0.48/0.61 [105]P5(a46,a49)
% 0.48/0.61 [106]~E(a16,a3)
% 0.48/0.61 [107]~P12(a49)
% 0.48/0.61 [108]E(a1,a49)+P5(a1,a49)
% 0.48/0.61 [109]E(a1,a49)+P13(a48,a1)
% 0.48/0.61 [110]P5(a1,a49)+E(a49,a48)
% 0.48/0.61 [111]E(a49,a48)+P13(a48,a1)
% 0.48/0.61 [120]~P15(x1201)+P6(x1201,a49)
% 0.48/0.61 [121]~P15(x1211)+P14(x1211,a49)
% 0.48/0.61 [122]~P15(x1221)+P13(x1221,a49)
% 0.48/0.61 [126]~P15(x1261)+P6(x1261,x1261)
% 0.48/0.61 [127]~P15(x1271)+P14(x1271,x1271)
% 0.48/0.61 [128]~P15(x1281)+P13(x1281,x1281)
% 0.48/0.61 [129]~P1(x1291)+P7(x1291,x1291)
% 0.48/0.61 [130]~P1(x1301)+P8(x1301,x1301)
% 0.48/0.61 [170]~P1(x1701)+~P10(a49,x1701)
% 0.48/0.61 [174]~P11(x1741,x1741)+~P1(x1741)
% 0.48/0.61 [124]~P15(x1241)+E(f4(x1241,a49),x1241)
% 0.48/0.61 [125]~P15(x1251)+E(f4(a49,x1251),x1251)
% 0.48/0.61 [179]~P1(x1791)+P2(f6(x1791,a49))
% 0.48/0.61 [180]~P1(x1801)+P16(f6(x1801,a49))
% 0.48/0.61 [181]~P1(x1811)+P17(f6(x1811,a49))
% 0.48/0.61 [182]~P1(x1821)+P19(f6(x1821,a49))
% 0.48/0.61 [183]~P1(x1831)+P18(f6(x1831,a49))
% 0.48/0.61 [184]~P1(x1841)+P3(f6(x1841,a49))
% 0.48/0.61 [185]~P1(x1851)+P4(f6(x1851,a49))
% 0.48/0.61 [165]~P15(x1651)+~E(a49,x1651)+P6(a49,x1651)
% 0.48/0.61 [166]~P15(x1661)+~E(a49,x1661)+P14(a49,x1661)
% 0.48/0.61 [167]~P15(x1671)+~E(a49,x1671)+P13(a49,x1671)
% 0.48/0.61 [171]~P15(x1711)+~P6(a49,x1711)+E(a49,x1711)
% 0.48/0.61 [172]~P15(x1721)+~P14(a49,x1721)+E(a49,x1721)
% 0.48/0.61 [173]~P15(x1731)+~P13(a49,x1731)+E(a49,x1731)
% 0.48/0.61 [112]~P15(x1121)+E(f50(x1121),f27(x1121))+E(a49,x1121)
% 0.48/0.61 [113]~P15(x1131)+E(f56(x1131),f45(x1131))+E(a49,x1131)
% 0.48/0.61 [114]~P15(x1141)+E(a49,x1141)+P1(f50(x1141))
% 0.48/0.61 [115]~P15(x1151)+E(a49,x1151)+P1(f28(x1151))
% 0.48/0.61 [116]~P15(x1161)+E(a49,x1161)+P1(f27(x1161))
% 0.48/0.61 [117]~P15(x1171)+E(a49,x1171)+P15(f56(x1171))
% 0.48/0.61 [118]~P15(x1181)+E(a49,x1181)+P15(f29(x1181))
% 0.48/0.61 [119]~P15(x1191)+E(a49,x1191)+P15(f45(x1191))
% 0.48/0.61 [123]P3(x1231)+~P15(x1231)+E(f30(x1231),f36(x1231))
% 0.48/0.61 [131]~P15(x1311)+P2(x1311)+P1(f5(x1311))
% 0.48/0.61 [132]~P15(x1321)+P2(x1321)+P1(f7(x1321))
% 0.48/0.61 [133]~P15(x1331)+P2(x1331)+P15(f8(x1331))
% 0.48/0.61 [134]~P15(x1341)+P2(x1341)+P15(f9(x1341))
% 0.48/0.61 [135]~P15(x1351)+P2(x1351)+P15(f10(x1351))
% 0.48/0.61 [136]~P15(x1361)+P16(x1361)+P1(f11(x1361))
% 0.48/0.61 [137]~P15(x1371)+P16(x1371)+P1(f12(x1371))
% 0.48/0.61 [138]~P15(x1381)+P16(x1381)+P15(f13(x1381))
% 0.48/0.61 [139]~P15(x1391)+P16(x1391)+P15(f14(x1391))
% 0.48/0.61 [140]~P15(x1401)+P16(x1401)+P15(f15(x1401))
% 0.48/0.61 [141]~P15(x1411)+P17(x1411)+P1(f17(x1411))
% 0.48/0.61 [142]~P15(x1421)+P17(x1421)+P1(f18(x1421))
% 0.48/0.61 [143]~P15(x1431)+P17(x1431)+P15(f19(x1431))
% 0.48/0.61 [144]~P15(x1441)+P17(x1441)+P15(f20(x1441))
% 0.48/0.61 [145]~P15(x1451)+P17(x1451)+P15(f21(x1451))
% 0.48/0.61 [146]~P15(x1461)+P19(x1461)+P1(f22(x1461))
% 0.48/0.61 [147]~P15(x1471)+P19(x1471)+P1(f23(x1471))
% 0.48/0.61 [148]~P15(x1481)+P19(x1481)+P15(f24(x1481))
% 0.48/0.61 [149]~P15(x1491)+P19(x1491)+P15(f25(x1491))
% 0.48/0.61 [150]~P15(x1501)+P19(x1501)+P15(f26(x1501))
% 0.48/0.61 [151]~P15(x1511)+P18(x1511)+P1(f31(x1511))
% 0.48/0.61 [152]~P15(x1521)+P18(x1521)+P1(f32(x1521))
% 0.48/0.61 [153]~P15(x1531)+P18(x1531)+P15(f33(x1531))
% 0.48/0.61 [154]~P15(x1541)+P18(x1541)+P15(f34(x1541))
% 0.48/0.61 [155]~P15(x1551)+P18(x1551)+P15(f35(x1551))
% 0.48/0.61 [156]~P15(x1561)+P3(x1561)+P1(f30(x1561))
% 0.48/0.61 [157]~P15(x1571)+P3(x1571)+P1(f36(x1571))
% 0.48/0.61 [158]~P15(x1581)+P3(x1581)+P15(f37(x1581))
% 0.48/0.61 [159]~P15(x1591)+P3(x1591)+P15(f38(x1591))
% 0.48/0.61 [160]~P15(x1601)+P3(x1601)+P15(f39(x1601))
% 0.48/0.61 [161]~P15(x1611)+P4(x1611)+P1(f40(x1611))
% 0.48/0.61 [162]~P15(x1621)+P4(x1621)+P1(f42(x1621))
% 0.48/0.61 [163]~P15(x1631)+P4(x1631)+P15(f43(x1631))
% 0.48/0.61 [164]~P15(x1641)+P4(x1641)+P15(f44(x1641))
% 0.48/0.61 [168]~P15(x1681)+P4(x1681)+~E(f42(x1681),f40(x1681))
% 0.48/0.61 [169]~P15(x1691)+~P12(x1691)+P1(f51(x1691))
% 0.48/0.61 [190]~P15(x1901)+P2(x1901)+P7(f5(x1901),f7(x1901))
% 0.48/0.61 [191]~P15(x1911)+P2(x1911)+P7(f7(x1911),f5(x1911))
% 0.48/0.61 [211]~P15(x2111)+P16(x2111)+~P7(f11(x2111),f12(x2111))
% 0.48/0.61 [212]~P15(x2121)+P16(x2121)+~P7(f12(x2121),f11(x2121))
% 0.48/0.61 [213]~P15(x2131)+P17(x2131)+~P11(f17(x2131),f18(x2131))
% 0.48/0.61 [214]~P15(x2141)+P17(x2141)+~P11(f18(x2141),f17(x2141))
% 0.48/0.61 [215]~P15(x2151)+P19(x2151)+~P7(f22(x2151),f23(x2151))
% 0.48/0.61 [216]~P15(x2161)+P18(x2161)+~P11(f31(x2161),f32(x2161))
% 0.48/0.61 [178]~P15(x1781)+~P12(x1781)+E(f6(f51(x1781),a49),x1781)
% 0.48/0.61 [186]~P15(x1861)+E(a49,x1861)+E(f6(f50(x1861),f56(x1861)),x1861)
% 0.48/0.61 [187]~P15(x1871)+E(a49,x1871)+E(f6(f28(x1871),f29(x1871)),x1871)
% 0.48/0.61 [277]P2(x2771)+~P15(x2771)+E(f4(f4(f8(x2771),f6(f5(x2771),f9(x2771))),f6(f7(x2771),f10(x2771))),x2771)
% 0.48/0.61 [278]P16(x2781)+~P15(x2781)+E(f4(f4(f13(x2781),f6(f11(x2781),f14(x2781))),f6(f12(x2781),f15(x2781))),x2781)
% 0.48/0.61 [279]P17(x2791)+~P15(x2791)+E(f4(f4(f19(x2791),f6(f17(x2791),f20(x2791))),f6(f18(x2791),f21(x2791))),x2791)
% 0.48/0.61 [280]P19(x2801)+~P15(x2801)+E(f4(f4(f24(x2801),f6(f22(x2801),f25(x2801))),f6(f23(x2801),f26(x2801))),x2801)
% 0.48/0.61 [281]P18(x2811)+~P15(x2811)+E(f4(f4(f33(x2811),f6(f31(x2811),f34(x2811))),f6(f32(x2811),f35(x2811))),x2811)
% 0.48/0.61 [282]P3(x2821)+~P15(x2821)+E(f4(f4(f37(x2821),f6(f30(x2821),f38(x2821))),f6(f36(x2821),f39(x2821))),x2821)
% 0.48/0.61 [275]P4(x2751)+~P15(x2751)+E(f4(f43(x2751),f6(f40(x2751),f6(f42(x2751),f44(x2751)))),x2751)
% 0.48/0.61 [188]~P1(x1881)+~P15(x1882)+~E(f6(x1881,x1882),a49)
% 0.48/0.61 [189]~P1(x1891)+~P15(x1892)+~E(f6(x1891,x1892),x1892)
% 0.48/0.61 [198]~P1(x1981)+~P15(x1982)+P15(f6(x1981,x1982))
% 0.48/0.61 [199]~P15(x1992)+~P15(x1991)+P15(f4(x1991,x1992))
% 0.48/0.61 [200]~P1(x2001)+~P15(x2002)+E(f50(f6(x2001,x2002)),x2001)
% 0.48/0.61 [201]~P1(x2011)+~P15(x2012)+E(f56(f6(x2011,x2012)),x2012)
% 0.48/0.61 [228]~P1(x2281)+~P15(x2282)+E(f4(f6(x2281,a49),x2282),f6(x2281,x2282))
% 0.48/0.61 [239]~P15(x2391)+~P5(x2391,a49)+~P13(a2,x2391)+~P13(a46,x2391)
% 0.48/0.62 [175]P5(x1751,x1752)+~P1(x1752)+~P1(x1751)+E(x1751,x1752)
% 0.48/0.62 [176]P5(x1761,x1762)+~P15(x1762)+~P15(x1761)+E(x1761,x1762)
% 0.48/0.62 [195]~P1(x1952)+~P1(x1951)+~P5(x1951,x1952)+~E(x1951,x1952)
% 0.48/0.62 [196]~P1(x1962)+~P1(x1961)+~P11(x1961,x1962)+~E(x1961,x1962)
% 0.48/0.62 [197]~P15(x1972)+~P15(x1971)+~P5(x1971,x1972)+~E(x1971,x1972)
% 0.48/0.62 [206]~P1(x2061)+~P1(x2062)+~P8(x2062,x2061)+P7(x2061,x2062)
% 0.48/0.62 [207]~P1(x2072)+~P1(x2071)+~P11(x2071,x2072)+P7(x2071,x2072)
% 0.48/0.62 [208]~P1(x2081)+~P1(x2082)+~P9(x2082,x2081)+P11(x2081,x2082)
% 0.48/0.62 [209]~P1(x2091)+~P1(x2092)+~P7(x2092,x2091)+P8(x2091,x2092)
% 0.48/0.62 [210]~P1(x2101)+~P1(x2102)+~P11(x2102,x2101)+P9(x2101,x2102)
% 0.48/0.62 [219]~P11(x2191,x2192)+~P11(x2192,x2191)+~P1(x2191)+~P1(x2192)
% 0.48/0.62 [220]~P9(x2201,x2202)+~P9(x2202,x2201)+~P1(x2201)+~P1(x2202)
% 0.48/0.62 [192]~P15(x1922)+~P15(x1921)+E(a49,x1921)+~E(f4(x1922,x1921),a49)
% 0.48/0.62 [193]~P15(x1932)+~P15(x1931)+E(a49,x1931)+~E(f4(x1931,x1932),a49)
% 0.48/0.62 [194]~P1(x1942)+~P15(x1941)+P12(x1941)+~E(f6(x1942,a49),x1941)
% 0.48/0.62 [203]~P1(x2031)+~P15(x2032)+~E(a49,x2032)+P19(f6(x2031,x2032))
% 0.48/0.62 [204]~P1(x2041)+~P15(x2042)+~E(a49,x2042)+P18(f6(x2041,x2042))
% 0.48/0.62 [231]~P1(x2312)+~P15(x2311)+~P10(x2311,x2312)+P15(f41(x2311,x2312))
% 0.48/0.62 [232]~P1(x2322)+~P15(x2321)+~P10(x2321,x2322)+P15(f47(x2321,x2322))
% 0.48/0.62 [233]~P15(x2332)+~P15(x2331)+~P6(x2331,x2332)+P15(f52(x2331,x2332))
% 0.48/0.62 [234]~P15(x2342)+~P15(x2341)+~P14(x2341,x2342)+P15(f53(x2341,x2342))
% 0.48/0.62 [235]~P15(x2352)+~P15(x2351)+~P13(x2351,x2352)+P15(f54(x2351,x2352))
% 0.48/0.62 [236]~P15(x2362)+~P15(x2361)+~P13(x2361,x2362)+P15(f55(x2361,x2362))
% 0.48/0.62 [205]~P15(x2052)+~P15(x2051)+E(a49,x2051)+E(f50(f4(x2051,x2052)),f50(x2051))
% 0.48/0.62 [230]~P15(x2302)+~P15(x2301)+E(a49,x2301)+E(f56(f4(x2301,x2302)),f4(f56(x2301),x2302))
% 0.48/0.62 [244]~P15(x2442)+~P15(x2441)+~P6(x2442,x2441)+E(f4(x2441,f52(x2442,x2441)),x2442)
% 0.48/0.62 [245]~P15(x2452)+~P15(x2451)+~P14(x2451,x2452)+E(f4(f53(x2451,x2452),x2452),x2451)
% 0.48/0.62 [274]~P15(x2742)+~P15(x2741)+~P13(x2741,x2742)+E(f4(f4(f54(x2741,x2742),x2742),f55(x2741,x2742)),x2741)
% 0.48/0.62 [273]~P1(x2732)+~P15(x2731)+~P10(x2731,x2732)+E(f4(f41(x2731,x2732),f6(x2732,f47(x2731,x2732))),x2731)
% 0.48/0.62 [263]~P1(x2631)+~P15(x2632)+~P15(x2633)+E(f6(x2631,f4(x2632,x2633)),f4(f6(x2631,x2632),x2633))
% 0.48/0.62 [264]~P15(x2643)+~P15(x2642)+~P15(x2641)+E(f4(f4(x2641,x2642),x2643),f4(x2641,f4(x2642,x2643)))
% 0.48/0.62 [218]P11(x2181,x2182)+~P1(x2182)+~P1(x2181)+~P7(x2181,x2182)+E(x2181,x2182)
% 0.48/0.62 [223]~P1(x2232)+~P1(x2231)+~P7(x2232,x2231)+~P7(x2231,x2232)+E(x2231,x2232)
% 0.48/0.62 [224]~P1(x2242)+~P1(x2241)+~P8(x2242,x2241)+~P8(x2241,x2242)+E(x2241,x2242)
% 0.48/0.62 [225]~P15(x2252)+~P15(x2251)+~P6(x2252,x2251)+~P6(x2251,x2252)+E(x2251,x2252)
% 0.48/0.62 [226]~P15(x2262)+~P15(x2261)+~P14(x2262,x2261)+~P14(x2261,x2262)+E(x2261,x2262)
% 0.48/0.62 [227]~P15(x2272)+~P15(x2271)+~P13(x2272,x2271)+~P13(x2271,x2272)+E(x2271,x2272)
% 0.48/0.62 [177]~P15(x1771)+~P15(x1772)+~E(a49,x1771)+~E(a49,x1772)+E(f4(x1771,x1772),a49)
% 0.48/0.62 [240]P19(x2401)+~P15(x2401)+~P1(x2402)+E(a49,x2401)+~P19(f6(x2402,x2401))
% 0.48/0.62 [241]P18(x2411)+~P15(x2411)+~P1(x2412)+E(a49,x2411)+~P18(f6(x2412,x2411))
% 0.48/0.62 [254]~P1(x2542)+~P15(x2541)+E(a49,x2541)+P7(x2542,f50(x2541))+~P19(f6(x2542,x2541))
% 0.48/0.62 [255]~P1(x2552)+~P15(x2551)+E(a49,x2551)+P11(x2552,f50(x2551))+~P18(f6(x2552,x2551))
% 0.48/0.62 [221]~P15(x2211)+~P15(x2212)+~P15(x2213)+P6(x2211,x2212)+~E(f4(x2212,x2213),x2211)
% 0.48/0.62 [222]~P15(x2221)+~P15(x2222)+~P15(x2223)+P14(x2221,x2222)+~E(f4(x2223,x2222),x2221)
% 0.48/0.62 [229]~E(x2293,x2291)+~P1(x2291)+~P1(x2293)+~P15(x2292)+P10(f6(x2291,x2292),x2293)
% 0.48/0.62 [237]~P15(x2372)+~P15(x2373)+~P15(x2371)+E(x2371,x2372)+~E(f4(x2373,x2371),f4(x2373,x2372))
% 0.48/0.62 [238]~P15(x2382)+~P15(x2383)+~P15(x2381)+E(x2381,x2382)+~E(f4(x2381,x2383),f4(x2382,x2383))
% 0.48/0.62 [256]~P1(x2561)+~P1(x2563)+~P15(x2562)+~P10(x2562,x2563)+P10(f6(x2561,x2562),x2563)
% 0.48/0.62 [257]~P1(x2573)+~P15(x2571)+~P15(x2572)+~P10(x2572,x2573)+P10(f4(x2571,x2572),x2573)
% 0.48/0.62 [258]~P1(x2583)+~P15(x2582)+~P15(x2581)+~P10(x2581,x2583)+P10(f4(x2581,x2582),x2583)
% 0.48/0.62 [259]~P15(x2592)+~P15(x2593)+~P15(x2591)+~P6(x2591,x2593)+P6(f4(x2591,x2592),x2593)
% 0.48/0.62 [260]~P15(x2601)+~P15(x2603)+~P15(x2602)+~P14(x2602,x2603)+P14(f4(x2601,x2602),x2603)
% 0.48/0.62 [261]~P1(x2612)+~P15(x2611)+~P19(x2611)+~P7(x2612,f50(x2611))+E(a49,x2611)+P19(f6(x2612,x2611))
% 0.48/0.62 [262]~P1(x2622)+~P15(x2621)+~P18(x2621)+~P11(x2622,f50(x2621))+E(a49,x2621)+P18(f6(x2622,x2621))
% 0.48/0.62 [246]~P15(x2462)+~P15(x2461)+~P6(x2463,x2462)+~P6(x2461,x2463)+P6(x2461,x2462)+~P15(x2463)
% 0.48/0.62 [247]~P15(x2472)+~P15(x2471)+~P14(x2473,x2472)+~P14(x2471,x2473)+P14(x2471,x2472)+~P15(x2473)
% 0.48/0.62 [248]~P15(x2482)+~P15(x2481)+~P13(x2483,x2482)+~P13(x2481,x2483)+P13(x2481,x2482)+~P15(x2483)
% 0.48/0.62 [249]~P1(x2492)+~P1(x2491)+~P7(x2493,x2492)+~P7(x2491,x2493)+P7(x2491,x2492)+~P1(x2493)
% 0.48/0.62 [250]~P1(x2502)+~P1(x2501)+~P7(x2501,x2503)+~P11(x2503,x2502)+P11(x2501,x2502)+~P1(x2503)
% 0.48/0.62 [251]~P1(x2512)+~P1(x2511)+~P11(x2513,x2512)+~P11(x2511,x2513)+P11(x2511,x2512)+~P1(x2513)
% 0.48/0.62 [252]~P1(x2522)+~P1(x2521)+~P8(x2523,x2522)+~P8(x2521,x2523)+P8(x2521,x2522)+~P1(x2523)
% 0.48/0.62 [253]~P1(x2532)+~P1(x2531)+~P9(x2533,x2532)+~P9(x2531,x2533)+P9(x2531,x2532)+~P1(x2533)
% 0.48/0.62 [265]~P1(x2652)+~P1(x2651)+~P15(x2653)+E(x2651,x2652)+P10(x2653,x2652)+~P10(f6(x2651,x2653),x2652)
% 0.48/0.62 [268]~P1(x2682)+~P15(x2681)+~P15(x2683)+P10(x2681,x2682)+P10(x2683,x2682)+~P10(f4(x2683,x2681),x2682)
% 0.48/0.62 [242]~P1(x2424)+~P1(x2423)+~P15(x2422)+~P15(x2421)+E(x2421,x2422)+~E(f6(x2423,x2422),f6(x2424,x2421))
% 0.48/0.62 [243]~P1(x2432)+~P1(x2431)+~P15(x2434)+~P15(x2433)+E(x2431,x2432)+~E(f6(x2431,x2433),f6(x2432,x2434))
% 0.48/0.62 [270]~P1(x2702)+~P1(x2701)+E(x2701,x2702)+~P15(x2703)+~P15(x2704)+~P6(f6(x2701,x2704),f6(x2702,x2703))
% 0.48/0.62 [272]~P15(x2722)+~P15(x2721)+P6(x2721,x2722)+~P1(x2723)+~P1(x2724)+~P6(f6(x2724,x2721),f6(x2723,x2722))
% 0.48/0.62 [266]~P1(x2662)+~P15(x2661)+~P15(x2664)+~P15(x2663)+P10(x2661,x2662)+~E(f4(x2663,f6(x2662,x2664)),x2661)
% 0.48/0.62 [267]~P15(x2671)+~P15(x2672)+~P15(x2674)+~P15(x2673)+P13(x2671,x2672)+~E(f4(f4(x2673,x2672),x2674),x2671)
% 0.48/0.62 [271]~P15(x2713)+~P15(x2711)+~P15(x2714)+~P15(x2712)+~P13(x2712,x2714)+P13(f4(f4(x2711,x2712),x2713),x2714)
% 0.48/0.62 [202]~P15(x2022)+~P15(x2021)+E(x2021,x2022)+E(a49,x2022)+E(a49,x2021)+~E(f50(x2021),f50(x2022))+~E(f56(x2021),f56(x2022))
% 0.48/0.62 [269]~E(x2691,x2693)+~P1(x2693)+~P1(x2691)+~P15(x2694)+~P15(x2692)+~P6(x2692,x2694)+P6(f6(x2691,x2692),f6(x2693,x2694))
% 0.48/0.62 [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)
% 0.48/0.62 [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)
% 0.48/0.62 [284]~P1(x2842)+~P1(x2841)+~P15(x2845)+~P15(x2844)+~P15(x2843)+~P15(x2846)+~P19(x2846)+P7(x2841,x2842)+~E(f4(f4(x2843,f6(x2841,x2844)),f6(x2842,x2845)),x2846)
% 0.48/0.62 [285]~P1(x2852)+~P1(x2851)+~P15(x2855)+~P15(x2854)+~P15(x2853)+~P15(x2856)+~P18(x2856)+P11(x2851,x2852)+~E(f4(f4(x2853,f6(x2851,x2854)),f6(x2852,x2855)),x2856)
% 0.48/0.62 [286]P7(x2862,x2861)+~P1(x2861)+~P1(x2862)+~P15(x2865)+~P15(x2864)+~P15(x2863)+~P15(x2866)+~P16(x2866)+P7(x2861,x2862)+~E(f4(f4(x2863,f6(x2862,x2864)),f6(x2861,x2865)),x2866)
% 0.48/0.62 [287]P11(x2872,x2871)+~P1(x2871)+~P1(x2872)+~P15(x2875)+~P15(x2874)+~P15(x2873)+~P15(x2876)+~P17(x2876)+P11(x2871,x2872)+~E(f4(f4(x2873,f6(x2872,x2874)),f6(x2871,x2875)),x2876)
% 0.48/0.62 [288]~P1(x2884)+~P1(x2882)+~P15(x2885)+~P15(x2883)+~P15(x2881)+~P15(x2886)+~P2(x2886)+~P7(x2884,x2882)+~P7(x2882,x2884)+~E(f4(f4(x2881,f6(x2882,x2883)),f6(x2884,x2885)),x2886)
% 0.48/0.62 %EqnAxiom
% 0.48/0.62 [1]E(x11,x11)
% 0.48/0.62 [2]E(x22,x21)+~E(x21,x22)
% 0.48/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.48/0.62 [4]~E(x41,x42)+E(f50(x41),f50(x42))
% 0.48/0.62 [5]~E(x51,x52)+E(f27(x51),f27(x52))
% 0.48/0.62 [6]~E(x61,x62)+E(f56(x61),f56(x62))
% 0.48/0.62 [7]~E(x71,x72)+E(f45(x71),f45(x72))
% 0.48/0.62 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 0.48/0.62 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 0.48/0.62 [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 0.48/0.62 [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 0.48/0.62 [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 0.48/0.62 [13]~E(x131,x132)+E(f44(x131),f44(x132))
% 0.48/0.62 [14]~E(x141,x142)+E(f29(x141),f29(x142))
% 0.48/0.62 [15]~E(x151,x152)+E(f42(x151),f42(x152))
% 0.48/0.62 [16]~E(x161,x162)+E(f30(x161),f30(x162))
% 0.48/0.62 [17]~E(x171,x172)+E(f36(x171),f36(x172))
% 0.48/0.62 [18]~E(x181,x182)+E(f40(x181),f40(x182))
% 0.48/0.62 [19]~E(x191,x192)+E(f43(x191),f43(x192))
% 0.48/0.62 [20]~E(x201,x202)+E(f5(x201),f5(x202))
% 0.48/0.62 [21]~E(x211,x212)+E(f7(x211),f7(x212))
% 0.48/0.62 [22]~E(x221,x222)+E(f8(x221),f8(x222))
% 0.48/0.62 [23]~E(x231,x232)+E(f9(x231),f9(x232))
% 0.48/0.62 [24]~E(x241,x242)+E(f10(x241),f10(x242))
% 0.48/0.62 [25]~E(x251,x252)+E(f11(x251),f11(x252))
% 0.48/0.62 [26]~E(x261,x262)+E(f12(x261),f12(x262))
% 0.48/0.62 [27]~E(x271,x272)+E(f13(x271),f13(x272))
% 0.48/0.62 [28]~E(x281,x282)+E(f14(x281),f14(x282))
% 0.48/0.62 [29]~E(x291,x292)+E(f15(x291),f15(x292))
% 0.48/0.62 [30]~E(x301,x302)+E(f17(x301),f17(x302))
% 0.48/0.62 [31]~E(x311,x312)+E(f18(x311),f18(x312))
% 0.48/0.62 [32]~E(x321,x322)+E(f19(x321),f19(x322))
% 0.48/0.62 [33]~E(x331,x332)+E(f20(x331),f20(x332))
% 0.48/0.62 [34]~E(x341,x342)+E(f21(x341),f21(x342))
% 0.48/0.62 [35]~E(x351,x352)+E(f22(x351),f22(x352))
% 0.48/0.62 [36]~E(x361,x362)+E(f23(x361),f23(x362))
% 0.48/0.62 [37]~E(x371,x372)+E(f24(x371),f24(x372))
% 0.48/0.62 [38]~E(x381,x382)+E(f25(x381),f25(x382))
% 0.48/0.62 [39]~E(x391,x392)+E(f26(x391),f26(x392))
% 0.48/0.62 [40]~E(x401,x402)+E(f31(x401),f31(x402))
% 0.48/0.62 [41]~E(x411,x412)+E(f32(x411),f32(x412))
% 0.48/0.62 [42]~E(x421,x422)+E(f33(x421),f33(x422))
% 0.48/0.62 [43]~E(x431,x432)+E(f34(x431),f34(x432))
% 0.48/0.62 [44]~E(x441,x442)+E(f35(x441),f35(x442))
% 0.48/0.62 [45]~E(x451,x452)+E(f53(x451,x453),f53(x452,x453))
% 0.48/0.62 [46]~E(x461,x462)+E(f53(x463,x461),f53(x463,x462))
% 0.48/0.62 [47]~E(x471,x472)+E(f37(x471),f37(x472))
% 0.48/0.62 [48]~E(x481,x482)+E(f41(x481,x483),f41(x482,x483))
% 0.48/0.62 [49]~E(x491,x492)+E(f41(x493,x491),f41(x493,x492))
% 0.48/0.62 [50]~E(x501,x502)+E(f38(x501),f38(x502))
% 0.48/0.62 [51]~E(x511,x512)+E(f39(x511),f39(x512))
% 0.48/0.62 [52]~E(x521,x522)+E(f54(x521,x523),f54(x522,x523))
% 0.48/0.62 [53]~E(x531,x532)+E(f54(x533,x531),f54(x533,x532))
% 0.48/0.62 [54]~E(x541,x542)+E(f47(x541,x543),f47(x542,x543))
% 0.48/0.62 [55]~E(x551,x552)+E(f47(x553,x551),f47(x553,x552))
% 0.48/0.62 [56]~E(x561,x562)+E(f55(x561,x563),f55(x562,x563))
% 0.48/0.62 [57]~E(x571,x572)+E(f55(x573,x571),f55(x573,x572))
% 0.48/0.62 [58]~E(x581,x582)+E(f52(x581,x583),f52(x582,x583))
% 0.48/0.62 [59]~E(x591,x592)+E(f52(x593,x591),f52(x593,x592))
% 0.48/0.62 [60]~E(x601,x602)+E(f51(x601),f51(x602))
% 0.48/0.62 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 0.48/0.62 [62]P7(x622,x623)+~E(x621,x622)+~P7(x621,x623)
% 0.48/0.62 [63]P7(x633,x632)+~E(x631,x632)+~P7(x633,x631)
% 0.48/0.62 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 0.48/0.62 [65]P10(x652,x653)+~E(x651,x652)+~P10(x651,x653)
% 0.48/0.62 [66]P10(x663,x662)+~E(x661,x662)+~P10(x663,x661)
% 0.48/0.62 [67]~P3(x671)+P3(x672)+~E(x671,x672)
% 0.48/0.62 [68]~P18(x681)+P18(x682)+~E(x681,x682)
% 0.48/0.62 [69]~P2(x691)+P2(x692)+~E(x691,x692)
% 0.48/0.62 [70]P9(x702,x703)+~E(x701,x702)+~P9(x701,x703)
% 0.48/0.62 [71]P9(x713,x712)+~E(x711,x712)+~P9(x713,x711)
% 0.48/0.62 [72]~P16(x721)+P16(x722)+~E(x721,x722)
% 0.48/0.62 [73]~P17(x731)+P17(x732)+~E(x731,x732)
% 0.48/0.62 [74]~P19(x741)+P19(x742)+~E(x741,x742)
% 0.48/0.62 [75]P11(x752,x753)+~E(x751,x752)+~P11(x751,x753)
% 0.48/0.62 [76]P11(x763,x762)+~E(x761,x762)+~P11(x763,x761)
% 0.48/0.62 [77]P5(x772,x773)+~E(x771,x772)+~P5(x771,x773)
% 0.48/0.62 [78]P5(x783,x782)+~E(x781,x782)+~P5(x783,x781)
% 0.48/0.62 [79]~P4(x791)+P4(x792)+~E(x791,x792)
% 0.48/0.62 [80]P14(x802,x803)+~E(x801,x802)+~P14(x801,x803)
% 0.48/0.62 [81]P14(x813,x812)+~E(x811,x812)+~P14(x813,x811)
% 0.48/0.62 [82]~P12(x821)+P12(x822)+~E(x821,x822)
% 0.48/0.62 [83]P13(x832,x833)+~E(x831,x832)+~P13(x831,x833)
% 0.48/0.62 [84]P13(x843,x842)+~E(x841,x842)+~P13(x843,x841)
% 0.48/0.62 [85]P6(x852,x853)+~E(x851,x852)+~P6(x851,x853)
% 0.48/0.62 [86]P6(x863,x862)+~E(x861,x862)+~P6(x863,x861)
% 0.48/0.62 [87]P8(x872,x873)+~E(x871,x872)+~P8(x871,x873)
% 0.48/0.62 [88]P8(x883,x882)+~E(x881,x882)+~P8(x883,x881)
% 0.48/0.62
% 0.48/0.62 %-------------------------------------------
% 0.48/0.62 cnf(293,plain,
% 0.48/0.62 (~P5(x2931,x2931)+~P1(x2931)+~P1(x2931)),
% 0.48/0.62 inference(equality_inference,[],[195])).
% 0.48/0.62 cnf(295,plain,
% 0.48/0.62 (~P5(x2951,x2951)+~P15(x2951)+~P15(x2951)),
% 0.48/0.62 inference(equality_inference,[],[197])).
% 0.48/0.62 cnf(314,plain,
% 0.48/0.62 (E(a2,a1)),
% 0.48/0.62 inference(scs_inference,[],[89,2])).
% 0.48/0.62 cnf(330,plain,
% 0.48/0.62 (E(a48,a46)),
% 0.48/0.62 inference(scs_inference,[],[90,92,174,2])).
% 0.48/0.62 cnf(333,plain,
% 0.48/0.62 (~P5(a1,a1)),
% 0.48/0.62 inference(scs_inference,[],[90,96,92,174,2,293,295])).
% 0.48/0.62 cnf(348,plain,
% 0.48/0.62 (~E(a49,a48)),
% 0.48/0.62 inference(scs_inference,[],[90,105,95,330,295,78,79,3])).
% 0.48/0.62 cnf(350,plain,
% 0.48/0.62 (P13(a46,a1)),
% 0.48/0.62 inference(scs_inference,[],[90,105,95,330,295,78,79,3,111,83])).
% 0.48/0.62 cnf(357,plain,
% 0.48/0.62 (P5(a1,a49)),
% 0.48/0.62 inference(scs_inference,[],[348,110])).
% 0.48/0.62 cnf(358,plain,
% 0.48/0.62 (P13(a46,a2)),
% 0.48/0.62 inference(scs_inference,[],[89,350,84])).
% 0.48/0.62 cnf(367,plain,
% 0.48/0.62 (P5(a2,a49)),
% 0.48/0.62 inference(scs_inference,[],[89,357,77])).
% 0.48/0.62 cnf(368,plain,
% 0.48/0.62 (~E(a49,a1)),
% 0.48/0.62 inference(scs_inference,[],[89,333,357,77,78])).
% 0.48/0.62 cnf(369,plain,
% 0.48/0.62 (~P5(a49,a49)),
% 0.48/0.62 inference(scs_inference,[],[89,333,357,93,77,78,295])).
% 0.48/0.62 cnf(371,plain,
% 0.48/0.62 (~P13(a2,a1)),
% 0.48/0.62 inference(scs_inference,[],[89,96,350,333,357,93,77,78,295,239])).
% 0.48/0.62 cnf(389,plain,
% 0.48/0.62 ($false),
% 0.48/0.62 inference(scs_inference,[],[371,94,314,350,358,367,368,369,83,77,3,239,128]),
% 0.48/0.62 ['proof']).
% 0.48/0.62 % SZS output end Proof
% 0.48/0.62 % Total time :0.090000s
%------------------------------------------------------------------------------