%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC384+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 : n023.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 0.70s 0.82s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC384+1 : TPTP v8.2.0. Released v2.4.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.35 % Computer : n023.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Thu Jun 20 05:03:09 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 0.70/0.81 %-------------------------------------------
% 0.70/0.81 % File :CSE---1.7
% 0.70/0.81 % Problem :theBenchmark
% 0.70/0.81 % Transform :cnf
% 0.70/0.81 % Format :tptp:raw
% 0.70/0.81 % Command :java -jar mcs_scs.jar %d %s
% 0.70/0.81
% 0.70/0.81 % Result :Theorem 0.100000s
% 0.70/0.81 % Output :CNFRefutation 0.100000s
% 0.70/0.81 %-------------------------------------------
% 0.70/0.81 %--------------------------------------------------------------------------
% 0.70/0.81 % File : SWC384+1 : TPTP v8.2.0. Released v2.4.0.
% 0.70/0.81 % Domain : Software Creation
% 0.70/0.81 % Problem : cond_some2_x_pivot
% 0.70/0.81 % Version : [Wei00] axioms.
% 0.70/0.81 % English : Find components in a software library that match a given target
% 0.70/0.81 % specification given in first-order logic. The components are
% 0.70/0.81 % specified in first-order logic as well. The problem represents
% 0.70/0.81 % a test of one library module specification against a target
% 0.70/0.81 % specification.
% 0.70/0.81
% 0.70/0.81 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.70/0.81 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.70/0.81 % Source : [Wei00]
% 0.70/0.81 % Names : cond_some2_x_pivot [Wei00]
% 0.70/0.81
% 0.70/0.81 % Status : Theorem
% 0.70/0.81 % Rating : 0.42 v7.5.0, 0.41 v7.4.0, 0.30 v7.3.0, 0.41 v7.2.0, 0.38 v7.1.0, 0.39 v7.0.0, 0.30 v6.4.0, 0.38 v6.3.0, 0.42 v6.2.0, 0.48 v6.1.0, 0.60 v6.0.0, 0.57 v5.5.0, 0.63 v5.4.0, 0.64 v5.3.0, 0.70 v5.2.0, 0.60 v5.1.0, 0.62 v5.0.0, 0.58 v4.1.0, 0.61 v4.0.0, 0.58 v3.7.0, 0.60 v3.5.0, 0.58 v3.3.0, 0.50 v3.2.0, 0.55 v3.1.0, 0.67 v2.7.0, 0.50 v2.4.0
% 0.70/0.81 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 0.70/0.81 % Number of atoms : 416 ( 77 equ)
% 0.70/0.82 % Maximal formula atoms : 22 ( 4 avg)
% 0.70/0.82 % Number of connectives : 351 ( 31 ~; 16 |; 44 &)
% 0.70/0.82 % ( 26 <=>; 234 =>; 0 <=; 0 <~>)
% 0.70/0.82 % Maximal formula depth : 26 ( 7 avg)
% 0.70/0.82 % Maximal term depth : 4 ( 1 avg)
% 0.70/0.82 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.70/0.82 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 0.70/0.82 % Number of variables : 212 ( 197 !; 15 ?)
% 0.70/0.82 % SPC : FOF_THM_RFO_SEQ
% 0.70/0.82
% 0.70/0.82 % Comments :
% 0.70/0.82 %--------------------------------------------------------------------------
% 0.70/0.82 %----Include list specification axioms
% 0.70/0.82 include('Axioms/SWC001+0.ax').
% 0.70/0.82 %--------------------------------------------------------------------------
% 0.70/0.82 fof(co1,conjecture,
% 0.70/0.82 ! [U] :
% 0.70/0.82 ( ssList(U)
% 0.70/0.82 => ! [V] :
% 0.70/0.82 ( ssList(V)
% 0.70/0.82 => ! [W] :
% 0.70/0.82 ( ssList(W)
% 0.70/0.82 => ! [X] :
% 0.70/0.82 ( ssList(X)
% 0.70/0.82 => ( V != X
% 0.70/0.82 | U != W
% 0.70/0.82 | ~ neq(V,nil)
% 0.70/0.82 | ( ! [Y] :
% 0.70/0.82 ( ssItem(Y)
% 0.70/0.82 => ! [Z] :
% 0.70/0.82 ( ssList(Z)
% 0.70/0.82 => ! [X1] :
% 0.70/0.82 ( ssList(X1)
% 0.70/0.82 => ( cons(Y,nil) != W
% 0.70/0.82 | app(app(Z,W),X1) != X
% 0.70/0.82 | ? [X2] :
% 0.70/0.82 ( ssItem(X2)
% 0.70/0.82 & memberP(Z,X2)
% 0.70/0.82 & lt(Y,X2) )
% 0.70/0.82 | ? [X3] :
% 0.70/0.82 ( ssItem(X3)
% 0.70/0.82 & memberP(X1,X3)
% 0.70/0.82 & lt(X3,Y) ) ) ) ) )
% 0.70/0.82 & ( nil != X
% 0.70/0.82 | nil != W ) )
% 0.70/0.82 | ( singletonP(U)
% 0.70/0.82 & segmentP(V,U) ) ) ) ) ) ) ).
% 0.70/0.82
% 0.70/0.82 %--------------------------------------------------------------------------
% 0.70/0.82 %-------------------------------------------
% 0.70/0.82 % Proof found
% 0.70/0.82 % SZS status Theorem for theBenchmark
% 0.70/0.82 % SZS output start Proof
% 0.70/0.82 %ClaNum:298(EqnAxiom:88)
% 0.70/0.82 %VarNum:1020(SingletonVarNum:331)
% 0.70/0.82 %MaxLitNum:10
% 0.70/0.82 %MaxfuncDepth:4
% 0.70/0.82 %SharedTerms:41
% 0.70/0.82 %goalClause: 89 90 94 95 96 97 105 108 109 110 111 112 113 114 115 172 182 183 212 213 214 215
% 0.70/0.82 %singleGoalClaCount:7
% 0.70/0.82 [89]E(a1,a2)
% 0.70/0.82 [90]E(a46,a48)
% 0.70/0.82 [91]P1(a3)
% 0.70/0.82 [92]P1(a16)
% 0.70/0.82 [93]P15(a49)
% 0.70/0.82 [94]P15(a2)
% 0.70/0.82 [95]P15(a46)
% 0.70/0.82 [96]P15(a1)
% 0.70/0.82 [97]P15(a48)
% 0.70/0.82 [98]P2(a49)
% 0.70/0.82 [99]P16(a49)
% 0.70/0.82 [100]P17(a49)
% 0.70/0.82 [101]P19(a49)
% 0.70/0.82 [102]P18(a49)
% 0.70/0.82 [103]P3(a49)
% 0.70/0.82 [104]P4(a49)
% 0.70/0.82 [105]P5(a46,a49)
% 0.70/0.82 [106]~E(a16,a3)
% 0.70/0.82 [107]~P12(a49)
% 0.70/0.82 [108]E(a1,a49)+P1(a50)
% 0.70/0.82 [109]E(a1,a49)+P15(a51)
% 0.70/0.82 [110]E(a1,a49)+P15(a52)
% 0.70/0.82 [111]E(a49,a48)+P1(a50)
% 0.70/0.82 [112]E(a49,a48)+P15(a51)
% 0.70/0.82 [113]E(a49,a48)+P15(a52)
% 0.70/0.82 [172]~P12(a2)+~P14(a46,a2)
% 0.70/0.82 [114]E(a1,a49)+E(f4(a50,a49),a1)
% 0.70/0.82 [115]E(a49,a48)+E(f4(a50,a49),a1)
% 0.70/0.82 [182]E(a1,a49)+E(f5(f5(a51,a1),a52),a48)
% 0.70/0.82 [183]E(a49,a48)+E(f5(f5(a51,a1),a52),a48)
% 0.70/0.82 [124]~P15(x1241)+P6(x1241,a49)
% 0.70/0.82 [125]~P15(x1251)+P13(x1251,a49)
% 0.70/0.82 [126]~P15(x1261)+P14(x1261,a49)
% 0.70/0.82 [130]~P15(x1301)+P6(x1301,x1301)
% 0.70/0.82 [131]~P15(x1311)+P13(x1311,x1311)
% 0.70/0.82 [132]~P15(x1321)+P14(x1321,x1321)
% 0.70/0.82 [133]~P1(x1331)+P7(x1331,x1331)
% 0.70/0.82 [134]~P1(x1341)+P8(x1341,x1341)
% 0.70/0.82 [175]~P1(x1751)+~P10(a49,x1751)
% 0.70/0.82 [179]~P11(x1791,x1791)+~P1(x1791)
% 0.70/0.82 [128]~P15(x1281)+E(f5(x1281,a49),x1281)
% 0.70/0.82 [129]~P15(x1291)+E(f5(a49,x1291),x1291)
% 0.70/0.82 [186]~P1(x1861)+P2(f4(x1861,a49))
% 0.70/0.82 [187]~P1(x1871)+P16(f4(x1871,a49))
% 0.70/0.82 [188]~P1(x1881)+P17(f4(x1881,a49))
% 0.70/0.82 [189]~P1(x1891)+P19(f4(x1891,a49))
% 0.70/0.82 [190]~P1(x1901)+P18(f4(x1901,a49))
% 0.70/0.82 [191]~P1(x1911)+P3(f4(x1911,a49))
% 0.70/0.82 [192]~P1(x1921)+P4(f4(x1921,a49))
% 0.70/0.82 [169]~P15(x1691)+~E(a49,x1691)+P6(a49,x1691)
% 0.70/0.82 [170]~P15(x1701)+~E(a49,x1701)+P13(a49,x1701)
% 0.70/0.82 [171]~P15(x1711)+~E(a49,x1711)+P14(a49,x1711)
% 0.70/0.82 [176]~P15(x1761)+~P6(a49,x1761)+E(a49,x1761)
% 0.70/0.82 [177]~P15(x1771)+~P13(a49,x1771)+E(a49,x1771)
% 0.70/0.82 [178]~P15(x1781)+~P14(a49,x1781)+E(a49,x1781)
% 0.70/0.82 [116]~P15(x1161)+E(f53(x1161),f27(x1161))+E(a49,x1161)
% 0.70/0.82 [117]~P15(x1171)+E(f59(x1171),f45(x1171))+E(a49,x1171)
% 0.70/0.82 [118]~P15(x1181)+E(a49,x1181)+P1(f53(x1181))
% 0.70/0.82 [119]~P15(x1191)+E(a49,x1191)+P1(f28(x1191))
% 0.70/0.82 [120]~P15(x1201)+E(a49,x1201)+P1(f27(x1201))
% 0.70/0.82 [121]~P15(x1211)+E(a49,x1211)+P15(f59(x1211))
% 0.70/0.82 [122]~P15(x1221)+E(a49,x1221)+P15(f29(x1221))
% 0.70/0.82 [123]~P15(x1231)+E(a49,x1231)+P15(f45(x1231))
% 0.70/0.82 [127]P3(x1271)+~P15(x1271)+E(f30(x1271),f36(x1271))
% 0.70/0.82 [135]~P15(x1351)+P2(x1351)+P1(f6(x1351))
% 0.70/0.82 [136]~P15(x1361)+P2(x1361)+P1(f7(x1361))
% 0.70/0.82 [137]~P15(x1371)+P2(x1371)+P15(f8(x1371))
% 0.70/0.82 [138]~P15(x1381)+P2(x1381)+P15(f9(x1381))
% 0.70/0.82 [139]~P15(x1391)+P2(x1391)+P15(f10(x1391))
% 0.70/0.82 [140]~P15(x1401)+P16(x1401)+P1(f11(x1401))
% 0.70/0.82 [141]~P15(x1411)+P16(x1411)+P1(f12(x1411))
% 0.70/0.82 [142]~P15(x1421)+P16(x1421)+P15(f13(x1421))
% 0.70/0.82 [143]~P15(x1431)+P16(x1431)+P15(f14(x1431))
% 0.70/0.82 [144]~P15(x1441)+P16(x1441)+P15(f15(x1441))
% 0.70/0.82 [145]~P15(x1451)+P17(x1451)+P1(f17(x1451))
% 0.70/0.82 [146]~P15(x1461)+P17(x1461)+P1(f18(x1461))
% 0.70/0.82 [147]~P15(x1471)+P17(x1471)+P15(f19(x1471))
% 0.70/0.82 [148]~P15(x1481)+P17(x1481)+P15(f20(x1481))
% 0.70/0.82 [149]~P15(x1491)+P17(x1491)+P15(f21(x1491))
% 0.70/0.82 [150]~P15(x1501)+P19(x1501)+P1(f22(x1501))
% 0.70/0.82 [151]~P15(x1511)+P19(x1511)+P1(f23(x1511))
% 0.70/0.82 [152]~P15(x1521)+P19(x1521)+P15(f24(x1521))
% 0.70/0.82 [153]~P15(x1531)+P19(x1531)+P15(f25(x1531))
% 0.70/0.82 [154]~P15(x1541)+P19(x1541)+P15(f26(x1541))
% 0.70/0.82 [155]~P15(x1551)+P18(x1551)+P1(f31(x1551))
% 0.70/0.82 [156]~P15(x1561)+P18(x1561)+P1(f32(x1561))
% 0.70/0.82 [157]~P15(x1571)+P18(x1571)+P15(f33(x1571))
% 0.70/0.82 [158]~P15(x1581)+P18(x1581)+P15(f34(x1581))
% 0.70/0.82 [159]~P15(x1591)+P18(x1591)+P15(f35(x1591))
% 0.70/0.82 [160]~P15(x1601)+P3(x1601)+P1(f30(x1601))
% 0.70/0.82 [161]~P15(x1611)+P3(x1611)+P1(f36(x1611))
% 0.70/0.82 [162]~P15(x1621)+P3(x1621)+P15(f37(x1621))
% 0.70/0.82 [163]~P15(x1631)+P3(x1631)+P15(f38(x1631))
% 0.70/0.82 [164]~P15(x1641)+P3(x1641)+P15(f39(x1641))
% 0.70/0.82 [165]~P15(x1651)+P4(x1651)+P1(f40(x1651))
% 0.70/0.82 [166]~P15(x1661)+P4(x1661)+P1(f42(x1661))
% 0.70/0.82 [167]~P15(x1671)+P4(x1671)+P15(f43(x1671))
% 0.70/0.82 [168]~P15(x1681)+P4(x1681)+P15(f44(x1681))
% 0.70/0.82 [173]~P15(x1731)+P4(x1731)+~E(f42(x1731),f40(x1731))
% 0.70/0.82 [174]~P15(x1741)+~P12(x1741)+P1(f54(x1741))
% 0.70/0.82 [197]~P15(x1971)+P2(x1971)+P7(f6(x1971),f7(x1971))
% 0.70/0.82 [198]~P15(x1981)+P2(x1981)+P7(f7(x1981),f6(x1981))
% 0.70/0.82 [222]~P15(x2221)+P16(x2221)+~P7(f11(x2221),f12(x2221))
% 0.70/0.82 [223]~P15(x2231)+P16(x2231)+~P7(f12(x2231),f11(x2231))
% 0.70/0.82 [224]~P15(x2241)+P17(x2241)+~P11(f17(x2241),f18(x2241))
% 0.70/0.82 [225]~P15(x2251)+P17(x2251)+~P11(f18(x2251),f17(x2251))
% 0.70/0.82 [226]~P15(x2261)+P19(x2261)+~P7(f22(x2261),f23(x2261))
% 0.70/0.82 [227]~P15(x2271)+P18(x2271)+~P11(f31(x2271),f32(x2271))
% 0.70/0.82 [185]~P15(x1851)+~P12(x1851)+E(f4(f54(x1851),a49),x1851)
% 0.70/0.82 [193]~P15(x1931)+E(a49,x1931)+E(f4(f53(x1931),f59(x1931)),x1931)
% 0.70/0.82 [194]~P15(x1941)+E(a49,x1941)+E(f4(f28(x1941),f29(x1941)),x1941)
% 0.70/0.82 [287]P2(x2871)+~P15(x2871)+E(f5(f5(f8(x2871),f4(f6(x2871),f9(x2871))),f4(f7(x2871),f10(x2871))),x2871)
% 0.70/0.82 [288]P16(x2881)+~P15(x2881)+E(f5(f5(f13(x2881),f4(f11(x2881),f14(x2881))),f4(f12(x2881),f15(x2881))),x2881)
% 0.70/0.82 [289]P17(x2891)+~P15(x2891)+E(f5(f5(f19(x2891),f4(f17(x2891),f20(x2891))),f4(f18(x2891),f21(x2891))),x2891)
% 0.70/0.82 [290]P19(x2901)+~P15(x2901)+E(f5(f5(f24(x2901),f4(f22(x2901),f25(x2901))),f4(f23(x2901),f26(x2901))),x2901)
% 0.70/0.82 [291]P18(x2911)+~P15(x2911)+E(f5(f5(f33(x2911),f4(f31(x2911),f34(x2911))),f4(f32(x2911),f35(x2911))),x2911)
% 0.70/0.82 [292]P3(x2921)+~P15(x2921)+E(f5(f5(f37(x2921),f4(f30(x2921),f38(x2921))),f4(f36(x2921),f39(x2921))),x2921)
% 0.70/0.82 [285]P4(x2851)+~P15(x2851)+E(f5(f43(x2851),f4(f40(x2851),f4(f42(x2851),f44(x2851)))),x2851)
% 0.70/0.82 [195]~P1(x1951)+~P15(x1952)+~E(f4(x1951,x1952),a49)
% 0.70/0.82 [196]~P1(x1961)+~P15(x1962)+~E(f4(x1961,x1962),x1962)
% 0.70/0.82 [205]~P1(x2051)+~P15(x2052)+P15(f4(x2051,x2052))
% 0.70/0.82 [206]~P15(x2062)+~P15(x2061)+P15(f5(x2061,x2062))
% 0.70/0.82 [207]~P1(x2071)+~P15(x2072)+E(f53(f4(x2071,x2072)),x2071)
% 0.70/0.82 [208]~P1(x2081)+~P15(x2082)+E(f59(f4(x2081,x2082)),x2082)
% 0.70/0.82 [239]~P1(x2391)+~P15(x2392)+E(f5(f4(x2391,a49),x2392),f4(x2391,x2392))
% 0.70/0.82 [212]~P1(x2121)+E(a1,a49)+~P11(x2121,a50)+~P10(a52,x2121)
% 0.70/0.82 [213]~P1(x2131)+E(a49,a48)+~P11(x2131,a50)+~P10(a52,x2131)
% 0.70/0.82 [214]~P1(x2141)+E(a1,a49)+~P10(a51,x2141)+~P11(a50,x2141)
% 0.70/0.82 [215]~P1(x2151)+E(a49,a48)+~P10(a51,x2151)+~P11(a50,x2151)
% 0.70/0.82 [180]P5(x1801,x1802)+~P1(x1802)+~P1(x1801)+E(x1801,x1802)
% 0.70/0.82 [181]P5(x1811,x1812)+~P15(x1812)+~P15(x1811)+E(x1811,x1812)
% 0.70/0.82 [202]~P1(x2022)+~P1(x2021)+~P5(x2021,x2022)+~E(x2021,x2022)
% 0.70/0.82 [203]~P1(x2032)+~P1(x2031)+~P11(x2031,x2032)+~E(x2031,x2032)
% 0.70/0.83 [204]~P15(x2042)+~P15(x2041)+~P5(x2041,x2042)+~E(x2041,x2042)
% 0.70/0.83 [217]~P1(x2171)+~P1(x2172)+~P8(x2172,x2171)+P7(x2171,x2172)
% 0.70/0.83 [218]~P1(x2182)+~P1(x2181)+~P11(x2181,x2182)+P7(x2181,x2182)
% 0.70/0.83 [219]~P1(x2191)+~P1(x2192)+~P9(x2192,x2191)+P11(x2191,x2192)
% 0.70/0.83 [220]~P1(x2201)+~P1(x2202)+~P7(x2202,x2201)+P8(x2201,x2202)
% 0.70/0.83 [221]~P1(x2211)+~P1(x2212)+~P11(x2212,x2211)+P9(x2211,x2212)
% 0.70/0.83 [230]~P11(x2301,x2302)+~P11(x2302,x2301)+~P1(x2301)+~P1(x2302)
% 0.70/0.83 [231]~P9(x2311,x2312)+~P9(x2312,x2311)+~P1(x2311)+~P1(x2312)
% 0.70/0.83 [199]~P15(x1992)+~P15(x1991)+E(a49,x1991)+~E(f5(x1992,x1991),a49)
% 0.70/0.83 [200]~P15(x2002)+~P15(x2001)+E(a49,x2001)+~E(f5(x2001,x2002),a49)
% 0.70/0.83 [201]~P1(x2012)+~P15(x2011)+P12(x2011)+~E(f4(x2012,a49),x2011)
% 0.70/0.83 [210]~P1(x2101)+~P15(x2102)+~E(a49,x2102)+P19(f4(x2101,x2102))
% 0.70/0.83 [211]~P1(x2111)+~P15(x2112)+~E(a49,x2112)+P18(f4(x2111,x2112))
% 0.70/0.83 [242]~P1(x2422)+~P15(x2421)+~P10(x2421,x2422)+P15(f41(x2421,x2422))
% 0.70/0.83 [243]~P1(x2432)+~P15(x2431)+~P10(x2431,x2432)+P15(f47(x2431,x2432))
% 0.70/0.83 [244]~P15(x2442)+~P15(x2441)+~P6(x2441,x2442)+P15(f55(x2441,x2442))
% 0.70/0.83 [245]~P15(x2452)+~P15(x2451)+~P13(x2451,x2452)+P15(f56(x2451,x2452))
% 0.70/0.83 [246]~P15(x2462)+~P15(x2461)+~P14(x2461,x2462)+P15(f57(x2461,x2462))
% 0.70/0.83 [247]~P15(x2472)+~P15(x2471)+~P14(x2471,x2472)+P15(f58(x2471,x2472))
% 0.70/0.83 [216]~P15(x2162)+~P15(x2161)+E(a49,x2161)+E(f53(f5(x2161,x2162)),f53(x2161))
% 0.70/0.83 [241]~P15(x2412)+~P15(x2411)+E(a49,x2411)+E(f59(f5(x2411,x2412)),f5(f59(x2411),x2412))
% 0.70/0.83 [254]~P15(x2542)+~P15(x2541)+~P6(x2542,x2541)+E(f5(x2541,f55(x2542,x2541)),x2542)
% 0.70/0.83 [255]~P15(x2552)+~P15(x2551)+~P13(x2551,x2552)+E(f5(f56(x2551,x2552),x2552),x2551)
% 0.70/0.83 [284]~P15(x2842)+~P15(x2841)+~P14(x2841,x2842)+E(f5(f5(f57(x2841,x2842),x2842),f58(x2841,x2842)),x2841)
% 0.70/0.83 [283]~P1(x2832)+~P15(x2831)+~P10(x2831,x2832)+E(f5(f41(x2831,x2832),f4(x2832,f47(x2831,x2832))),x2831)
% 0.70/0.83 [273]~P1(x2731)+~P15(x2732)+~P15(x2733)+E(f5(f4(x2731,x2732),x2733),f4(x2731,f5(x2732,x2733)))
% 0.70/0.83 [274]~P15(x2743)+~P15(x2742)+~P15(x2741)+E(f5(f5(x2741,x2742),x2743),f5(x2741,f5(x2742,x2743)))
% 0.70/0.83 [229]P11(x2291,x2292)+~P1(x2292)+~P1(x2291)+~P7(x2291,x2292)+E(x2291,x2292)
% 0.70/0.83 [234]~P1(x2342)+~P1(x2341)+~P7(x2342,x2341)+~P7(x2341,x2342)+E(x2341,x2342)
% 0.70/0.83 [235]~P1(x2352)+~P1(x2351)+~P8(x2352,x2351)+~P8(x2351,x2352)+E(x2351,x2352)
% 0.70/0.83 [236]~P15(x2362)+~P15(x2361)+~P6(x2362,x2361)+~P6(x2361,x2362)+E(x2361,x2362)
% 0.70/0.83 [237]~P15(x2372)+~P15(x2371)+~P13(x2372,x2371)+~P13(x2371,x2372)+E(x2371,x2372)
% 0.70/0.83 [238]~P15(x2382)+~P15(x2381)+~P14(x2382,x2381)+~P14(x2381,x2382)+E(x2381,x2382)
% 0.70/0.83 [184]~P15(x1841)+~P15(x1842)+~E(a49,x1841)+~E(a49,x1842)+E(f5(x1841,x1842),a49)
% 0.70/0.83 [250]P19(x2501)+~P15(x2501)+~P1(x2502)+E(a49,x2501)+~P19(f4(x2502,x2501))
% 0.70/0.83 [251]P18(x2511)+~P15(x2511)+~P1(x2512)+E(a49,x2511)+~P18(f4(x2512,x2511))
% 0.70/0.83 [264]~P1(x2642)+~P15(x2641)+E(a49,x2641)+P7(x2642,f53(x2641))+~P19(f4(x2642,x2641))
% 0.70/0.83 [265]~P1(x2652)+~P15(x2651)+E(a49,x2651)+P11(x2652,f53(x2651))+~P18(f4(x2652,x2651))
% 0.70/0.83 [232]~P15(x2321)+~P15(x2322)+~P15(x2323)+P6(x2321,x2322)+~E(f5(x2322,x2323),x2321)
% 0.70/0.83 [233]~P15(x2331)+~P15(x2332)+~P15(x2333)+P13(x2331,x2332)+~E(f5(x2333,x2332),x2331)
% 0.70/0.83 [240]~E(x2403,x2401)+~P1(x2401)+~P1(x2403)+~P15(x2402)+P10(f4(x2401,x2402),x2403)
% 0.70/0.83 [248]~P15(x2482)+~P15(x2483)+~P15(x2481)+E(x2481,x2482)+~E(f5(x2483,x2481),f5(x2483,x2482))
% 0.70/0.83 [249]~P15(x2492)+~P15(x2493)+~P15(x2491)+E(x2491,x2492)+~E(f5(x2491,x2493),f5(x2492,x2493))
% 0.70/0.83 [266]~P1(x2661)+~P1(x2663)+~P15(x2662)+~P10(x2662,x2663)+P10(f4(x2661,x2662),x2663)
% 0.70/0.83 [267]~P1(x2673)+~P15(x2671)+~P15(x2672)+~P10(x2672,x2673)+P10(f5(x2671,x2672),x2673)
% 0.70/0.83 [268]~P1(x2683)+~P15(x2682)+~P15(x2681)+~P10(x2681,x2683)+P10(f5(x2681,x2682),x2683)
% 0.70/0.83 [269]~P15(x2692)+~P15(x2693)+~P15(x2691)+~P6(x2691,x2693)+P6(f5(x2691,x2692),x2693)
% 0.70/0.83 [270]~P15(x2701)+~P15(x2703)+~P15(x2702)+~P13(x2702,x2703)+P13(f5(x2701,x2702),x2703)
% 0.70/0.83 [271]~P1(x2712)+~P15(x2711)+~P19(x2711)+~P7(x2712,f53(x2711))+E(a49,x2711)+P19(f4(x2712,x2711))
% 0.70/0.83 [272]~P1(x2722)+~P15(x2721)+~P18(x2721)+~P11(x2722,f53(x2721))+E(a49,x2721)+P18(f4(x2722,x2721))
% 0.70/0.83 [256]~P15(x2562)+~P15(x2561)+~P6(x2563,x2562)+~P6(x2561,x2563)+P6(x2561,x2562)+~P15(x2563)
% 0.70/0.83 [257]~P15(x2572)+~P15(x2571)+~P13(x2573,x2572)+~P13(x2571,x2573)+P13(x2571,x2572)+~P15(x2573)
% 0.70/0.83 [258]~P15(x2582)+~P15(x2581)+~P14(x2583,x2582)+~P14(x2581,x2583)+P14(x2581,x2582)+~P15(x2583)
% 0.70/0.83 [259]~P1(x2592)+~P1(x2591)+~P7(x2593,x2592)+~P7(x2591,x2593)+P7(x2591,x2592)+~P1(x2593)
% 0.70/0.83 [260]~P1(x2602)+~P1(x2601)+~P7(x2601,x2603)+~P11(x2603,x2602)+P11(x2601,x2602)+~P1(x2603)
% 0.70/0.83 [261]~P1(x2612)+~P1(x2611)+~P11(x2613,x2612)+~P11(x2611,x2613)+P11(x2611,x2612)+~P1(x2613)
% 0.70/0.83 [262]~P1(x2622)+~P1(x2621)+~P8(x2623,x2622)+~P8(x2621,x2623)+P8(x2621,x2622)+~P1(x2623)
% 0.70/0.83 [263]~P1(x2632)+~P1(x2631)+~P9(x2633,x2632)+~P9(x2631,x2633)+P9(x2631,x2632)+~P1(x2633)
% 0.70/0.83 [275]~P1(x2752)+~P1(x2751)+~P15(x2753)+E(x2751,x2752)+P10(x2753,x2752)+~P10(f4(x2751,x2753),x2752)
% 0.70/0.83 [278]~P1(x2782)+~P15(x2781)+~P15(x2783)+P10(x2781,x2782)+P10(x2783,x2782)+~P10(f5(x2783,x2781),x2782)
% 0.70/0.83 [252]~P1(x2524)+~P1(x2523)+~P15(x2522)+~P15(x2521)+E(x2521,x2522)+~E(f4(x2523,x2522),f4(x2524,x2521))
% 0.70/0.83 [253]~P1(x2532)+~P1(x2531)+~P15(x2534)+~P15(x2533)+E(x2531,x2532)+~E(f4(x2531,x2533),f4(x2532,x2534))
% 0.70/0.83 [280]~P1(x2802)+~P1(x2801)+E(x2801,x2802)+~P15(x2803)+~P15(x2804)+~P6(f4(x2801,x2804),f4(x2802,x2803))
% 0.70/0.83 [282]~P15(x2822)+~P15(x2821)+P6(x2821,x2822)+~P1(x2823)+~P1(x2824)+~P6(f4(x2824,x2821),f4(x2823,x2822))
% 0.70/0.83 [276]~P1(x2762)+~P15(x2761)+~P15(x2764)+~P15(x2763)+P10(x2761,x2762)+~E(f5(x2763,f4(x2762,x2764)),x2761)
% 0.70/0.83 [277]~P15(x2771)+~P15(x2772)+~P15(x2774)+~P15(x2773)+P14(x2771,x2772)+~E(f5(f5(x2773,x2772),x2774),x2771)
% 0.70/0.83 [281]~P15(x2813)+~P15(x2811)+~P15(x2814)+~P15(x2812)+~P14(x2812,x2814)+P14(f5(f5(x2811,x2812),x2813),x2814)
% 0.70/0.83 [209]~P15(x2092)+~P15(x2091)+E(x2091,x2092)+E(a49,x2092)+E(a49,x2091)+~E(f53(x2091),f53(x2092))+~E(f59(x2091),f59(x2092))
% 0.70/0.83 [279]~E(x2791,x2793)+~P1(x2793)+~P1(x2791)+~P15(x2794)+~P15(x2792)+~P6(x2792,x2794)+P6(f4(x2791,x2792),f4(x2793,x2794))
% 0.70/0.83 [286]~P1(x2862)+~P1(x2861)+~P15(x2864)+~P15(x2863)+~P15(x2865)+~P4(x2865)+E(x2861,x2862)+~E(f5(x2863,f4(x2861,f4(x2862,x2864))),x2865)
% 0.70/0.83 [293]~P1(x2932)+~P1(x2931)+~P15(x2935)+~P15(x2934)+~P15(x2933)+~P15(x2936)+~P3(x2936)+~E(x2931,x2932)+~E(f5(f5(x2933,f4(x2931,x2934)),f4(x2932,x2935)),x2936)
% 0.70/0.83 [294]~P1(x2942)+~P1(x2941)+~P15(x2945)+~P15(x2944)+~P15(x2943)+~P15(x2946)+~P19(x2946)+P7(x2941,x2942)+~E(f5(f5(x2943,f4(x2941,x2944)),f4(x2942,x2945)),x2946)
% 0.70/0.83 [295]~P1(x2952)+~P1(x2951)+~P15(x2955)+~P15(x2954)+~P15(x2953)+~P15(x2956)+~P18(x2956)+P11(x2951,x2952)+~E(f5(f5(x2953,f4(x2951,x2954)),f4(x2952,x2955)),x2956)
% 0.70/0.83 [296]P7(x2962,x2961)+~P1(x2961)+~P1(x2962)+~P15(x2965)+~P15(x2964)+~P15(x2963)+~P15(x2966)+~P16(x2966)+P7(x2961,x2962)+~E(f5(f5(x2963,f4(x2962,x2964)),f4(x2961,x2965)),x2966)
% 0.70/0.83 [297]P11(x2972,x2971)+~P1(x2971)+~P1(x2972)+~P15(x2975)+~P15(x2974)+~P15(x2973)+~P15(x2976)+~P17(x2976)+P11(x2971,x2972)+~E(f5(f5(x2973,f4(x2972,x2974)),f4(x2971,x2975)),x2976)
% 0.70/0.83 [298]~P1(x2984)+~P1(x2982)+~P15(x2985)+~P15(x2983)+~P15(x2981)+~P15(x2986)+~P2(x2986)+~P7(x2984,x2982)+~P7(x2982,x2984)+~E(f5(f5(x2981,f4(x2982,x2983)),f4(x2984,x2985)),x2986)
% 0.70/0.83 %EqnAxiom
% 0.70/0.83 [1]E(x11,x11)
% 0.70/0.83 [2]E(x22,x21)+~E(x21,x22)
% 0.70/0.83 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.70/0.83 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 0.70/0.83 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 0.70/0.83 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.70/0.83 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.70/0.83 [8]~E(x81,x82)+E(f53(x81),f53(x82))
% 0.70/0.83 [9]~E(x91,x92)+E(f27(x91),f27(x92))
% 0.70/0.83 [10]~E(x101,x102)+E(f59(x101),f59(x102))
% 0.70/0.83 [11]~E(x111,x112)+E(f45(x111),f45(x112))
% 0.70/0.83 [12]~E(x121,x122)+E(f31(x121),f31(x122))
% 0.70/0.83 [13]~E(x131,x132)+E(f28(x131),f28(x132))
% 0.70/0.83 [14]~E(x141,x142)+E(f47(x141,x143),f47(x142,x143))
% 0.70/0.83 [15]~E(x151,x152)+E(f47(x153,x151),f47(x153,x152))
% 0.70/0.83 [16]~E(x161,x162)+E(f41(x161,x163),f41(x162,x163))
% 0.70/0.83 [17]~E(x171,x172)+E(f41(x173,x171),f41(x173,x172))
% 0.70/0.83 [18]~E(x181,x182)+E(f29(x181),f29(x182))
% 0.70/0.83 [19]~E(x191,x192)+E(f25(x191),f25(x192))
% 0.70/0.83 [20]~E(x201,x202)+E(f30(x201),f30(x202))
% 0.70/0.83 [21]~E(x211,x212)+E(f36(x211),f36(x212))
% 0.70/0.83 [22]~E(x221,x222)+E(f7(x221),f7(x222))
% 0.70/0.83 [23]~E(x231,x232)+E(f10(x231),f10(x232))
% 0.70/0.83 [24]~E(x241,x242)+E(f6(x241),f6(x242))
% 0.70/0.83 [25]~E(x251,x252)+E(f11(x251),f11(x252))
% 0.70/0.83 [26]~E(x261,x262)+E(f8(x261),f8(x262))
% 0.70/0.83 [27]~E(x271,x272)+E(f9(x271),f9(x272))
% 0.70/0.83 [28]~E(x281,x282)+E(f37(x281),f37(x282))
% 0.70/0.83 [29]~E(x291,x292)+E(f18(x291),f18(x292))
% 0.70/0.83 [30]~E(x301,x302)+E(f12(x301),f12(x302))
% 0.70/0.83 [31]~E(x311,x312)+E(f13(x311),f13(x312))
% 0.70/0.83 [32]~E(x321,x322)+E(f14(x321),f14(x322))
% 0.70/0.83 [33]~E(x331,x332)+E(f15(x331),f15(x332))
% 0.70/0.83 [34]~E(x341,x342)+E(f17(x341),f17(x342))
% 0.70/0.83 [35]~E(x351,x352)+E(f55(x351,x353),f55(x352,x353))
% 0.70/0.83 [36]~E(x361,x362)+E(f55(x363,x361),f55(x363,x362))
% 0.70/0.83 [37]~E(x371,x372)+E(f19(x371),f19(x372))
% 0.70/0.83 [38]~E(x381,x382)+E(f20(x381),f20(x382))
% 0.70/0.83 [39]~E(x391,x392)+E(f21(x391),f21(x392))
% 0.70/0.83 [40]~E(x401,x402)+E(f22(x401),f22(x402))
% 0.70/0.83 [41]~E(x411,x412)+E(f23(x411),f23(x412))
% 0.70/0.83 [42]~E(x421,x422)+E(f24(x421),f24(x422))
% 0.70/0.83 [43]~E(x431,x432)+E(f56(x431,x433),f56(x432,x433))
% 0.70/0.83 [44]~E(x441,x442)+E(f56(x443,x441),f56(x443,x442))
% 0.70/0.83 [45]~E(x451,x452)+E(f26(x451),f26(x452))
% 0.70/0.83 [46]~E(x461,x462)+E(f34(x461),f34(x462))
% 0.70/0.83 [47]~E(x471,x472)+E(f32(x471),f32(x472))
% 0.70/0.83 [48]~E(x481,x482)+E(f33(x481),f33(x482))
% 0.70/0.83 [49]~E(x491,x492)+E(f58(x491,x493),f58(x492,x493))
% 0.70/0.83 [50]~E(x501,x502)+E(f58(x503,x501),f58(x503,x502))
% 0.70/0.83 [51]~E(x511,x512)+E(f35(x511),f35(x512))
% 0.70/0.83 [52]~E(x521,x522)+E(f43(x521),f43(x522))
% 0.70/0.83 [53]~E(x531,x532)+E(f38(x531),f38(x532))
% 0.70/0.83 [54]~E(x541,x542)+E(f57(x541,x543),f57(x542,x543))
% 0.70/0.83 [55]~E(x551,x552)+E(f57(x553,x551),f57(x553,x552))
% 0.70/0.83 [56]~E(x561,x562)+E(f42(x561),f42(x562))
% 0.70/0.83 [57]~E(x571,x572)+E(f39(x571),f39(x572))
% 0.70/0.83 [58]~E(x581,x582)+E(f40(x581),f40(x582))
% 0.70/0.83 [59]~E(x591,x592)+E(f54(x591),f54(x592))
% 0.70/0.83 [60]~E(x601,x602)+E(f44(x601),f44(x602))
% 0.70/0.83 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 0.70/0.83 [62]P7(x622,x623)+~E(x621,x622)+~P7(x621,x623)
% 0.70/0.83 [63]P7(x633,x632)+~E(x631,x632)+~P7(x633,x631)
% 0.70/0.83 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 0.70/0.83 [65]P10(x652,x653)+~E(x651,x652)+~P10(x651,x653)
% 0.70/0.83 [66]P10(x663,x662)+~E(x661,x662)+~P10(x663,x661)
% 0.70/0.83 [67]~P2(x671)+P2(x672)+~E(x671,x672)
% 0.70/0.83 [68]~P18(x681)+P18(x682)+~E(x681,x682)
% 0.70/0.83 [69]P11(x692,x693)+~E(x691,x692)+~P11(x691,x693)
% 0.70/0.83 [70]P11(x703,x702)+~E(x701,x702)+~P11(x703,x701)
% 0.70/0.83 [71]P14(x712,x713)+~E(x711,x712)+~P14(x711,x713)
% 0.70/0.83 [72]P14(x723,x722)+~E(x721,x722)+~P14(x723,x721)
% 0.70/0.83 [73]~P16(x731)+P16(x732)+~E(x731,x732)
% 0.70/0.83 [74]~P17(x741)+P17(x742)+~E(x741,x742)
% 0.70/0.83 [75]~P19(x751)+P19(x752)+~E(x751,x752)
% 0.70/0.83 [76]P13(x762,x763)+~E(x761,x762)+~P13(x761,x763)
% 0.70/0.83 [77]P13(x773,x772)+~E(x771,x772)+~P13(x773,x771)
% 0.70/0.83 [78]~P3(x781)+P3(x782)+~E(x781,x782)
% 0.70/0.83 [79]~P4(x791)+P4(x792)+~E(x791,x792)
% 0.70/0.83 [80]P5(x802,x803)+~E(x801,x802)+~P5(x801,x803)
% 0.70/0.83 [81]P5(x813,x812)+~E(x811,x812)+~P5(x813,x811)
% 0.70/0.83 [82]~P12(x821)+P12(x822)+~E(x821,x822)
% 0.70/0.83 [83]P6(x832,x833)+~E(x831,x832)+~P6(x831,x833)
% 0.70/0.83 [84]P6(x843,x842)+~E(x841,x842)+~P6(x843,x841)
% 0.70/0.83 [85]P8(x852,x853)+~E(x851,x852)+~P8(x851,x853)
% 0.70/0.83 [86]P8(x863,x862)+~E(x861,x862)+~P8(x863,x861)
% 0.70/0.83 [87]P9(x872,x873)+~E(x871,x872)+~P9(x871,x873)
% 0.70/0.83 [88]P9(x883,x882)+~E(x881,x882)+~P9(x883,x881)
% 0.70/0.83
% 0.70/0.83 %-------------------------------------------
% 0.70/0.83 cnf(303,plain,
% 0.70/0.83 (~P5(x3031,x3031)+~P1(x3031)+~P1(x3031)),
% 0.70/0.83 inference(equality_inference,[],[202])).
% 0.70/0.83 cnf(305,plain,
% 0.70/0.83 (~P5(x3051,x3051)+~P15(x3051)+~P15(x3051)),
% 0.70/0.83 inference(equality_inference,[],[204])).
% 0.70/0.83 cnf(331,plain,
% 0.70/0.83 (P5(a48,a49)),
% 0.70/0.83 inference(scs_inference,[],[89,90,94,105,91,2,179,303,305,80])).
% 0.70/0.83 cnf(340,plain,
% 0.70/0.83 (E(a48,a46)),
% 0.70/0.83 inference(scs_inference,[],[90,92,179,2])).
% 0.70/0.83 cnf(351,plain,
% 0.70/0.83 (~P12(a1)+P12(a2)),
% 0.70/0.83 inference(scs_inference,[],[89,90,96,97,105,331,92,93,179,2,305,303,204,75,78,79,81,82])).
% 0.70/0.83 cnf(358,plain,
% 0.70/0.83 (~E(a49,a48)),
% 0.70/0.83 inference(scs_inference,[],[105,95,340,305,81,3])).
% 0.70/0.83 cnf(365,plain,
% 0.70/0.83 (P1(a50)),
% 0.70/0.83 inference(scs_inference,[],[358,111])).
% 0.70/0.83 cnf(366,plain,
% 0.70/0.83 (P15(a51)),
% 0.70/0.83 inference(scs_inference,[],[358,112])).
% 0.70/0.83 cnf(367,plain,
% 0.70/0.83 (P15(a52)),
% 0.70/0.83 inference(scs_inference,[],[358,113])).
% 0.70/0.83 cnf(368,plain,
% 0.70/0.83 (E(f4(a50,a49),a1)),
% 0.70/0.83 inference(scs_inference,[],[358,115])).
% 0.70/0.83 cnf(369,plain,
% 0.70/0.83 (E(f5(f5(a51,a1),a52),a48)),
% 0.70/0.83 inference(scs_inference,[],[358,183])).
% 0.70/0.83 cnf(393,plain,
% 0.70/0.83 (P12(a2)),
% 0.70/0.83 inference(scs_inference,[],[89,366,367,368,369,96,97,365,179,2,303,64,3,305,201,277,351])).
% 0.70/0.83 cnf(394,plain,
% 0.70/0.83 (P14(a46,a1)),
% 0.70/0.83 inference(scs_inference,[],[89,366,367,368,369,96,97,340,365,179,2,303,64,3,305,201,277,351,71])).
% 0.70/0.83 cnf(401,plain,
% 0.70/0.83 (~P14(a46,a2)),
% 0.70/0.83 inference(scs_inference,[],[393,172])).
% 0.70/0.83 cnf(405,plain,
% 0.70/0.83 (P14(a46,a2)),
% 0.70/0.83 inference(scs_inference,[],[89,369,97,394,2,64,72])).
% 0.70/0.83 cnf(416,plain,
% 0.70/0.83 ($false),
% 0.70/0.83 inference(scs_inference,[],[401,405]),
% 0.70/0.83 ['proof']).
% 0.70/0.83 % SZS output end Proof
% 0.70/0.83 % Total time :0.100000s
%------------------------------------------------------------------------------