%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC011+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 : n018.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 16:13:34 EDT 2024
% Result : Theorem 28.76s 28.87s
% Output : CNFRefutation 28.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC011+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
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Jun 20 02:01:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.22/0.58 start to proof:theBenchmark
% 28.76/28.86 %-------------------------------------------
% 28.76/28.86 % File :CSE---1.7
% 28.76/28.86 % Problem :theBenchmark
% 28.76/28.86 % Transform :cnf
% 28.76/28.86 % Format :tptp:raw
% 28.76/28.86 % Command :java -jar mcs_scs.jar %d %s
% 28.76/28.86
% 28.76/28.86 % Result :Theorem 28.160000s
% 28.76/28.86 % Output :CNFRefutation 28.160000s
% 28.76/28.86 %-------------------------------------------
% 28.76/28.87 %--------------------------------------------------------------------------
% 28.76/28.87 % File : SWC011+1 : TPTP v8.2.0. Released v2.4.0.
% 28.76/28.87 % Domain : Software Creation
% 28.76/28.87 % Problem : cond_filter_some_x_filter_some
% 28.76/28.87 % Version : [Wei00] axioms.
% 28.76/28.87 % English : Find components in a software library that match a given target
% 28.76/28.87 % specification given in first-order logic. The components are
% 28.76/28.87 % specified in first-order logic as well. The problem represents
% 28.76/28.87 % a test of one library module specification against a target
% 28.76/28.87 % specification.
% 28.76/28.87
% 28.76/28.87 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 28.76/28.87 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 28.76/28.87 % Source : [Wei00]
% 28.76/28.87 % Names : cond_filter_some_x_filter_some [Wei00]
% 28.76/28.87
% 28.76/28.87 % Status : Theorem
% 28.76/28.87 % Rating : 0.36 v7.5.0, 0.38 v7.4.0, 0.23 v7.3.0, 0.34 v7.1.0, 0.39 v7.0.0, 0.30 v6.4.0, 0.35 v6.3.0, 0.42 v6.2.0, 0.48 v6.1.0, 0.53 v6.0.0, 0.52 v5.5.0, 0.59 v5.4.0, 0.61 v5.3.0, 0.63 v5.2.0, 0.50 v5.1.0, 0.52 v5.0.0, 0.54 v4.1.0, 0.52 v4.0.0, 0.50 v3.7.0, 0.45 v3.5.0, 0.47 v3.4.0, 0.53 v3.3.0, 0.43 v3.2.0, 0.45 v3.1.0, 0.56 v2.7.0, 0.50 v2.6.0, 0.67 v2.4.0
% 28.76/28.87 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 28.76/28.87 % Number of atoms : 413 ( 77 equ)
% 28.76/28.87 % Maximal formula atoms : 19 ( 4 avg)
% 28.76/28.87 % Number of connectives : 347 ( 30 ~; 14 |; 43 &)
% 28.76/28.87 % ( 26 <=>; 234 =>; 0 <=; 0 <~>)
% 28.76/28.87 % Maximal formula depth : 22 ( 7 avg)
% 28.76/28.87 % Maximal term depth : 4 ( 1 avg)
% 28.76/28.87 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 28.76/28.87 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 28.76/28.87 % Number of variables : 213 ( 197 !; 16 ?)
% 28.76/28.87 % SPC : FOF_THM_RFO_SEQ
% 28.76/28.87
% 28.76/28.87 % Comments :
% 28.76/28.87 %--------------------------------------------------------------------------
% 28.76/28.87 %----Include list specification axioms
% 28.76/28.87 include('Axioms/SWC001+0.ax').
% 28.76/28.87 %--------------------------------------------------------------------------
% 28.76/28.87 fof(co1,conjecture,
% 28.76/28.87 ! [U] :
% 28.76/28.87 ( ssList(U)
% 28.76/28.87 => ! [V] :
% 28.76/28.87 ( ssList(V)
% 28.76/28.87 => ! [W] :
% 28.76/28.87 ( ssList(W)
% 28.76/28.87 => ! [X] :
% 28.76/28.87 ( ssList(X)
% 28.76/28.87 => ( V != X
% 28.76/28.87 | U != W
% 28.76/28.87 | ( ( ~ neq(V,nil)
% 28.76/28.87 | ? [Y] :
% 28.76/28.87 ( ssItem(Y)
% 28.76/28.87 & ? [Z] :
% 28.76/28.87 ( ssList(Z)
% 28.76/28.87 & ? [X1] :
% 28.76/28.87 ( ssList(X1)
% 28.76/28.87 & app(app(Z,cons(Y,nil)),X1) = V
% 28.76/28.87 & app(Z,X1) = U ) ) )
% 28.76/28.87 | ! [X2] :
% 28.76/28.87 ( ssItem(X2)
% 28.76/28.87 => ! [X3] :
% 28.76/28.87 ( ssList(X3)
% 28.76/28.87 => ! [X4] :
% 28.76/28.87 ( ssList(X4)
% 28.76/28.87 => ( app(app(X3,cons(X2,nil)),X4) != X
% 28.76/28.87 | app(X3,X4) != W ) ) ) ) )
% 28.76/28.87 & ( ~ neq(V,nil)
% 28.76/28.87 | neq(X,nil) ) ) ) ) ) ) ) ).
% 28.76/28.87
% 28.76/28.87 %--------------------------------------------------------------------------
% 28.76/28.87 %-------------------------------------------
% 28.76/28.87 % Proof found
% 28.76/28.87 % SZS status Theorem for theBenchmark
% 28.76/28.87 % SZS output start Proof
% 28.76/28.87 %ClaNum:296(EqnAxiom:88)
% 28.76/28.87 %VarNum:1016(SingletonVarNum:330)
% 28.76/28.87 %MaxLitNum:10
% 28.76/28.87 %MaxfuncDepth:4
% 28.76/28.87 %SharedTerms:39
% 28.76/28.87 %goalClause: 89 90 94 95 96 97 105 125 126 127 177 268 284
% 28.76/28.87 %singleGoalClaCount:7
% 28.76/28.87 [89]E(a1,a2)
% 28.76/28.87 [90]E(a46,a48)
% 28.76/28.87 [91]P1(a3)
% 28.76/28.87 [92]P1(a16)
% 28.76/28.87 [93]P15(a49)
% 28.76/28.87 [94]P15(a2)
% 28.76/28.87 [95]P15(a46)
% 28.76/28.87 [96]P15(a1)
% 28.76/28.87 [97]P15(a48)
% 28.76/28.87 [98]P2(a49)
% 28.76/28.87 [99]P16(a49)
% 28.76/28.87 [100]P17(a49)
% 28.76/28.87 [101]P19(a49)
% 28.76/28.87 [102]P18(a49)
% 28.76/28.87 [103]P3(a49)
% 28.76/28.87 [104]P4(a49)
% 28.76/28.87 [105]P5(a46,a49)
% 28.76/28.87 [106]~E(a16,a3)
% 28.76/28.87 [107]~P12(a49)
% 28.76/28.87 [125]P1(a50)+~P5(a48,a49)
% 28.76/28.87 [126]~P5(a48,a49)+P15(a51)
% 28.76/28.87 [127]~P5(a48,a49)+P15(a52)
% 28.76/28.87 [177]~P5(a48,a49)+E(f4(a51,a52),a1)
% 28.76/28.87 [268]~P5(a48,a49)+E(f4(f4(a51,f6(a50,a49)),a52),a48)
% 28.76/28.87 [119]~P15(x1191)+P6(x1191,a49)
% 28.76/28.87 [120]~P15(x1201)+P13(x1201,a49)
% 28.76/28.87 [121]~P15(x1211)+P14(x1211,a49)
% 28.76/28.87 [128]~P15(x1281)+P6(x1281,x1281)
% 28.76/28.87 [129]~P15(x1291)+P13(x1291,x1291)
% 28.76/28.87 [130]~P15(x1301)+P14(x1301,x1301)
% 28.76/28.87 [131]~P1(x1311)+P7(x1311,x1311)
% 28.76/28.87 [132]~P1(x1321)+P8(x1321,x1321)
% 28.76/28.87 [173]~P1(x1731)+~P10(a49,x1731)
% 28.76/28.87 [179]~P11(x1791,x1791)+~P1(x1791)
% 28.76/28.87 [123]~P15(x1231)+E(f4(x1231,a49),x1231)
% 28.76/28.87 [124]~P15(x1241)+E(f4(a49,x1241),x1241)
% 28.76/28.87 [184]~P1(x1841)+P2(f6(x1841,a49))
% 28.76/28.87 [185]~P1(x1851)+P16(f6(x1851,a49))
% 28.76/28.87 [186]~P1(x1861)+P17(f6(x1861,a49))
% 28.76/28.87 [187]~P1(x1871)+P19(f6(x1871,a49))
% 28.76/28.87 [188]~P1(x1881)+P18(f6(x1881,a49))
% 28.76/28.87 [189]~P1(x1891)+P3(f6(x1891,a49))
% 28.76/28.87 [190]~P1(x1901)+P4(f6(x1901,a49))
% 28.76/28.87 [167]~P15(x1671)+~E(a49,x1671)+P6(a49,x1671)
% 28.76/28.87 [168]~P15(x1681)+~E(a49,x1681)+P13(a49,x1681)
% 28.76/28.87 [169]~P15(x1691)+~E(a49,x1691)+P14(a49,x1691)
% 28.76/28.87 [174]~P15(x1741)+~P6(a49,x1741)+E(a49,x1741)
% 28.76/28.87 [175]~P15(x1751)+~P13(a49,x1751)+E(a49,x1751)
% 28.76/28.87 [176]~P15(x1761)+~P14(a49,x1761)+E(a49,x1761)
% 28.76/28.87 [111]~P15(x1111)+E(f53(x1111),f27(x1111))+E(a49,x1111)
% 28.76/28.87 [112]~P15(x1121)+E(f59(x1121),f45(x1121))+E(a49,x1121)
% 28.76/28.87 [113]~P15(x1131)+E(a49,x1131)+P1(f53(x1131))
% 28.76/28.87 [114]~P15(x1141)+E(a49,x1141)+P1(f28(x1141))
% 28.76/28.87 [115]~P15(x1151)+E(a49,x1151)+P1(f27(x1151))
% 28.76/28.87 [116]~P15(x1161)+E(a49,x1161)+P15(f59(x1161))
% 28.76/28.87 [117]~P15(x1171)+E(a49,x1171)+P15(f29(x1171))
% 28.76/28.87 [118]~P15(x1181)+E(a49,x1181)+P15(f45(x1181))
% 28.76/28.87 [122]P3(x1221)+~P15(x1221)+E(f30(x1221),f36(x1221))
% 28.76/28.87 [133]~P15(x1331)+P2(x1331)+P1(f5(x1331))
% 28.76/28.87 [134]~P15(x1341)+P2(x1341)+P1(f7(x1341))
% 28.76/28.87 [135]~P15(x1351)+P2(x1351)+P15(f8(x1351))
% 28.76/28.87 [136]~P15(x1361)+P2(x1361)+P15(f9(x1361))
% 28.76/28.87 [137]~P15(x1371)+P2(x1371)+P15(f10(x1371))
% 28.76/28.87 [138]~P15(x1381)+P16(x1381)+P1(f11(x1381))
% 28.76/28.87 [139]~P15(x1391)+P16(x1391)+P1(f12(x1391))
% 28.76/28.87 [140]~P15(x1401)+P16(x1401)+P15(f13(x1401))
% 28.76/28.87 [141]~P15(x1411)+P16(x1411)+P15(f14(x1411))
% 28.76/28.87 [142]~P15(x1421)+P16(x1421)+P15(f15(x1421))
% 28.76/28.87 [143]~P15(x1431)+P17(x1431)+P1(f17(x1431))
% 28.76/28.87 [144]~P15(x1441)+P17(x1441)+P1(f18(x1441))
% 28.76/28.87 [145]~P15(x1451)+P17(x1451)+P15(f19(x1451))
% 28.76/28.87 [146]~P15(x1461)+P17(x1461)+P15(f20(x1461))
% 28.76/28.87 [147]~P15(x1471)+P17(x1471)+P15(f21(x1471))
% 28.76/28.87 [148]~P15(x1481)+P19(x1481)+P1(f22(x1481))
% 28.76/28.87 [149]~P15(x1491)+P19(x1491)+P1(f23(x1491))
% 28.76/28.87 [150]~P15(x1501)+P19(x1501)+P15(f24(x1501))
% 28.76/28.87 [151]~P15(x1511)+P19(x1511)+P15(f25(x1511))
% 28.76/28.87 [152]~P15(x1521)+P19(x1521)+P15(f26(x1521))
% 28.76/28.87 [153]~P15(x1531)+P18(x1531)+P1(f31(x1531))
% 28.76/28.87 [154]~P15(x1541)+P18(x1541)+P1(f32(x1541))
% 28.76/28.88 [155]~P15(x1551)+P18(x1551)+P15(f33(x1551))
% 28.76/28.88 [156]~P15(x1561)+P18(x1561)+P15(f34(x1561))
% 28.76/28.88 [157]~P15(x1571)+P18(x1571)+P15(f35(x1571))
% 28.76/28.88 [158]~P15(x1581)+P3(x1581)+P1(f30(x1581))
% 28.76/28.88 [159]~P15(x1591)+P3(x1591)+P1(f36(x1591))
% 28.76/28.88 [160]~P15(x1601)+P3(x1601)+P15(f37(x1601))
% 28.76/28.88 [161]~P15(x1611)+P3(x1611)+P15(f38(x1611))
% 28.76/28.88 [162]~P15(x1621)+P3(x1621)+P15(f39(x1621))
% 28.76/28.88 [163]~P15(x1631)+P4(x1631)+P1(f40(x1631))
% 28.76/28.88 [164]~P15(x1641)+P4(x1641)+P1(f42(x1641))
% 28.76/28.88 [165]~P15(x1651)+P4(x1651)+P15(f43(x1651))
% 28.76/28.88 [166]~P15(x1661)+P4(x1661)+P15(f44(x1661))
% 28.76/28.88 [171]~P15(x1711)+P4(x1711)+~E(f42(x1711),f40(x1711))
% 28.76/28.88 [172]~P15(x1721)+~P12(x1721)+P1(f54(x1721))
% 28.76/28.88 [195]~P15(x1951)+P2(x1951)+P7(f5(x1951),f7(x1951))
% 28.76/28.88 [196]~P15(x1961)+P2(x1961)+P7(f7(x1961),f5(x1961))
% 28.76/28.88 [216]~P15(x2161)+P16(x2161)+~P7(f11(x2161),f12(x2161))
% 28.76/28.88 [217]~P15(x2171)+P16(x2171)+~P7(f12(x2171),f11(x2171))
% 28.76/28.88 [218]~P15(x2181)+P17(x2181)+~P11(f17(x2181),f18(x2181))
% 28.76/28.88 [219]~P15(x2191)+P17(x2191)+~P11(f18(x2191),f17(x2191))
% 28.76/28.88 [220]~P15(x2201)+P19(x2201)+~P7(f22(x2201),f23(x2201))
% 28.76/28.88 [221]~P15(x2211)+P18(x2211)+~P11(f31(x2211),f32(x2211))
% 28.76/28.88 [183]~P15(x1831)+~P12(x1831)+E(f6(f54(x1831),a49),x1831)
% 28.76/28.88 [191]~P15(x1911)+E(a49,x1911)+E(f6(f53(x1911),f59(x1911)),x1911)
% 28.76/28.88 [192]~P15(x1921)+E(a49,x1921)+E(f6(f28(x1921),f29(x1921)),x1921)
% 28.76/28.88 [285]P2(x2851)+~P15(x2851)+E(f4(f4(f8(x2851),f6(f5(x2851),f9(x2851))),f6(f7(x2851),f10(x2851))),x2851)
% 28.76/28.88 [286]P16(x2861)+~P15(x2861)+E(f4(f4(f13(x2861),f6(f11(x2861),f14(x2861))),f6(f12(x2861),f15(x2861))),x2861)
% 28.76/28.88 [287]P17(x2871)+~P15(x2871)+E(f4(f4(f19(x2871),f6(f17(x2871),f20(x2871))),f6(f18(x2871),f21(x2871))),x2871)
% 28.76/28.88 [288]P19(x2881)+~P15(x2881)+E(f4(f4(f24(x2881),f6(f22(x2881),f25(x2881))),f6(f23(x2881),f26(x2881))),x2881)
% 28.76/28.88 [289]P18(x2891)+~P15(x2891)+E(f4(f4(f33(x2891),f6(f31(x2891),f34(x2891))),f6(f32(x2891),f35(x2891))),x2891)
% 28.76/28.88 [290]P3(x2901)+~P15(x2901)+E(f4(f4(f37(x2901),f6(f30(x2901),f38(x2901))),f6(f36(x2901),f39(x2901))),x2901)
% 28.76/28.88 [281]P4(x2811)+~P15(x2811)+E(f4(f43(x2811),f6(f40(x2811),f6(f42(x2811),f44(x2811)))),x2811)
% 28.76/28.88 [193]~P1(x1931)+~P15(x1932)+~E(f6(x1931,x1932),a49)
% 28.76/28.88 [194]~P1(x1941)+~P15(x1942)+~E(f6(x1941,x1942),x1942)
% 28.76/28.88 [203]~P1(x2031)+~P15(x2032)+P15(f6(x2031,x2032))
% 28.76/28.88 [204]~P15(x2042)+~P15(x2041)+P15(f4(x2041,x2042))
% 28.76/28.88 [205]~P1(x2051)+~P15(x2052)+E(f53(f6(x2051,x2052)),x2051)
% 28.76/28.88 [206]~P1(x2061)+~P15(x2062)+E(f59(f6(x2061,x2062)),x2062)
% 28.76/28.88 [233]~P1(x2331)+~P15(x2332)+E(f4(f6(x2331,a49),x2332),f6(x2331,x2332))
% 28.76/28.88 [180]P5(x1801,x1802)+~P1(x1802)+~P1(x1801)+E(x1801,x1802)
% 28.76/28.88 [181]P5(x1811,x1812)+~P15(x1812)+~P15(x1811)+E(x1811,x1812)
% 28.76/28.88 [200]~P1(x2002)+~P1(x2001)+~P5(x2001,x2002)+~E(x2001,x2002)
% 28.76/28.88 [201]~P1(x2012)+~P1(x2011)+~P11(x2011,x2012)+~E(x2011,x2012)
% 28.76/28.88 [202]~P15(x2022)+~P15(x2021)+~P5(x2021,x2022)+~E(x2021,x2022)
% 28.76/28.88 [211]~P1(x2111)+~P1(x2112)+~P8(x2112,x2111)+P7(x2111,x2112)
% 28.76/28.88 [212]~P1(x2122)+~P1(x2121)+~P11(x2121,x2122)+P7(x2121,x2122)
% 28.76/28.88 [213]~P1(x2131)+~P1(x2132)+~P9(x2132,x2131)+P11(x2131,x2132)
% 28.76/28.88 [214]~P1(x2141)+~P1(x2142)+~P7(x2142,x2141)+P8(x2141,x2142)
% 28.76/28.88 [215]~P1(x2151)+~P1(x2152)+~P11(x2152,x2151)+P9(x2151,x2152)
% 28.86/28.88 [224]~P11(x2241,x2242)+~P11(x2242,x2241)+~P1(x2241)+~P1(x2242)
% 28.86/28.88 [225]~P9(x2251,x2252)+~P9(x2252,x2251)+~P1(x2251)+~P1(x2252)
% 28.86/28.88 [197]~P15(x1972)+~P15(x1971)+E(a49,x1971)+~E(f4(x1972,x1971),a49)
% 28.86/28.88 [198]~P15(x1982)+~P15(x1981)+E(a49,x1981)+~E(f4(x1981,x1982),a49)
% 28.86/28.88 [199]~P1(x1992)+~P15(x1991)+P12(x1991)+~E(f6(x1992,a49),x1991)
% 28.86/28.88 [208]~P1(x2081)+~P15(x2082)+~E(a49,x2082)+P19(f6(x2081,x2082))
% 28.86/28.88 [209]~P1(x2091)+~P15(x2092)+~E(a49,x2092)+P18(f6(x2091,x2092))
% 28.86/28.88 [236]~P1(x2362)+~P15(x2361)+~P10(x2361,x2362)+P15(f41(x2361,x2362))
% 28.86/28.88 [237]~P1(x2372)+~P15(x2371)+~P10(x2371,x2372)+P15(f47(x2371,x2372))
% 28.86/28.88 [238]~P15(x2382)+~P15(x2381)+~P6(x2381,x2382)+P15(f55(x2381,x2382))
% 28.86/28.88 [239]~P15(x2392)+~P15(x2391)+~P13(x2391,x2392)+P15(f56(x2391,x2392))
% 28.86/28.88 [240]~P15(x2402)+~P15(x2401)+~P14(x2401,x2402)+P15(f57(x2401,x2402))
% 28.86/28.88 [241]~P15(x2412)+~P15(x2411)+~P14(x2411,x2412)+P15(f58(x2411,x2412))
% 28.86/28.88 [210]~P15(x2102)+~P15(x2101)+E(a49,x2101)+E(f53(f4(x2101,x2102)),f53(x2101))
% 28.86/28.88 [235]~P15(x2352)+~P15(x2351)+E(a49,x2351)+E(f59(f4(x2351,x2352)),f4(f59(x2351),x2352))
% 28.86/28.88 [248]~P15(x2482)+~P15(x2481)+~P6(x2482,x2481)+E(f4(x2481,f55(x2482,x2481)),x2482)
% 28.86/28.88 [249]~P15(x2492)+~P15(x2491)+~P13(x2491,x2492)+E(f4(f56(x2491,x2492),x2492),x2491)
% 28.86/28.88 [280]~P15(x2802)+~P15(x2801)+~P14(x2801,x2802)+E(f4(f4(f57(x2801,x2802),x2802),f58(x2801,x2802)),x2801)
% 28.86/28.88 [279]~P1(x2792)+~P15(x2791)+~P10(x2791,x2792)+E(f4(f41(x2791,x2792),f6(x2792,f47(x2791,x2792))),x2791)
% 28.86/28.88 [269]~P1(x2691)+~P15(x2692)+~P15(x2693)+E(f6(x2691,f4(x2692,x2693)),f4(f6(x2691,x2692),x2693))
% 28.86/28.88 [270]~P15(x2703)+~P15(x2702)+~P15(x2701)+E(f4(f4(x2701,x2702),x2703),f4(x2701,f4(x2702,x2703)))
% 28.86/28.88 [223]P11(x2231,x2232)+~P1(x2232)+~P1(x2231)+~P7(x2231,x2232)+E(x2231,x2232)
% 28.86/28.88 [228]~P1(x2282)+~P1(x2281)+~P7(x2282,x2281)+~P7(x2281,x2282)+E(x2281,x2282)
% 28.86/28.88 [229]~P1(x2292)+~P1(x2291)+~P8(x2292,x2291)+~P8(x2291,x2292)+E(x2291,x2292)
% 28.86/28.88 [230]~P15(x2302)+~P15(x2301)+~P6(x2302,x2301)+~P6(x2301,x2302)+E(x2301,x2302)
% 28.86/28.88 [231]~P15(x2312)+~P15(x2311)+~P13(x2312,x2311)+~P13(x2311,x2312)+E(x2311,x2312)
% 28.86/28.88 [232]~P15(x2322)+~P15(x2321)+~P14(x2322,x2321)+~P14(x2321,x2322)+E(x2321,x2322)
% 28.86/28.88 [182]~P15(x1821)+~P15(x1822)+~E(a49,x1821)+~E(a49,x1822)+E(f4(x1821,x1822),a49)
% 28.86/28.88 [244]P19(x2441)+~P15(x2441)+~P1(x2442)+E(a49,x2441)+~P19(f6(x2442,x2441))
% 28.86/28.88 [245]P18(x2451)+~P15(x2451)+~P1(x2452)+E(a49,x2451)+~P18(f6(x2452,x2451))
% 28.86/28.88 [258]~P1(x2582)+~P15(x2581)+E(a49,x2581)+P7(x2582,f53(x2581))+~P19(f6(x2582,x2581))
% 28.86/28.88 [259]~P1(x2592)+~P15(x2591)+E(a49,x2591)+P11(x2592,f53(x2591))+~P18(f6(x2592,x2591))
% 28.86/28.88 [226]~P15(x2261)+~P15(x2262)+~P15(x2263)+P6(x2261,x2262)+~E(f4(x2262,x2263),x2261)
% 28.86/28.88 [227]~P15(x2271)+~P15(x2272)+~P15(x2273)+P13(x2271,x2272)+~E(f4(x2273,x2272),x2271)
% 28.86/28.88 [234]~E(x2343,x2341)+~P1(x2341)+~P1(x2343)+~P15(x2342)+P10(f6(x2341,x2342),x2343)
% 28.86/28.88 [242]~P15(x2422)+~P15(x2423)+~P15(x2421)+E(x2421,x2422)+~E(f4(x2423,x2421),f4(x2423,x2422))
% 28.86/28.88 [243]~P15(x2432)+~P15(x2433)+~P15(x2431)+E(x2431,x2432)+~E(f4(x2431,x2433),f4(x2432,x2433))
% 28.86/28.88 [260]~P1(x2601)+~P1(x2603)+~P15(x2602)+~P10(x2602,x2603)+P10(f6(x2601,x2602),x2603)
% 28.86/28.88 [261]~P1(x2613)+~P15(x2611)+~P15(x2612)+~P10(x2612,x2613)+P10(f4(x2611,x2612),x2613)
% 28.86/28.88 [262]~P1(x2623)+~P15(x2622)+~P15(x2621)+~P10(x2621,x2623)+P10(f4(x2621,x2622),x2623)
% 28.86/28.88 [263]~P15(x2632)+~P15(x2633)+~P15(x2631)+~P6(x2631,x2633)+P6(f4(x2631,x2632),x2633)
% 28.86/28.88 [264]~P15(x2641)+~P15(x2643)+~P15(x2642)+~P13(x2642,x2643)+P13(f4(x2641,x2642),x2643)
% 28.86/28.88 [265]~P1(x2652)+~P15(x2651)+~P19(x2651)+~P7(x2652,f53(x2651))+E(a49,x2651)+P19(f6(x2652,x2651))
% 28.86/28.88 [266]~P1(x2662)+~P15(x2661)+~P18(x2661)+~P11(x2662,f53(x2661))+E(a49,x2661)+P18(f6(x2662,x2661))
% 28.86/28.88 [250]~P15(x2502)+~P15(x2501)+~P6(x2503,x2502)+~P6(x2501,x2503)+P6(x2501,x2502)+~P15(x2503)
% 28.86/28.88 [251]~P15(x2512)+~P15(x2511)+~P13(x2513,x2512)+~P13(x2511,x2513)+P13(x2511,x2512)+~P15(x2513)
% 28.86/28.88 [252]~P15(x2522)+~P15(x2521)+~P14(x2523,x2522)+~P14(x2521,x2523)+P14(x2521,x2522)+~P15(x2523)
% 28.86/28.88 [253]~P1(x2532)+~P1(x2531)+~P7(x2533,x2532)+~P7(x2531,x2533)+P7(x2531,x2532)+~P1(x2533)
% 28.86/28.88 [254]~P1(x2542)+~P1(x2541)+~P7(x2541,x2543)+~P11(x2543,x2542)+P11(x2541,x2542)+~P1(x2543)
% 28.86/28.88 [255]~P1(x2552)+~P1(x2551)+~P11(x2553,x2552)+~P11(x2551,x2553)+P11(x2551,x2552)+~P1(x2553)
% 28.86/28.88 [256]~P1(x2562)+~P1(x2561)+~P8(x2563,x2562)+~P8(x2561,x2563)+P8(x2561,x2562)+~P1(x2563)
% 28.86/28.88 [257]~P1(x2572)+~P1(x2571)+~P9(x2573,x2572)+~P9(x2571,x2573)+P9(x2571,x2572)+~P1(x2573)
% 28.86/28.88 [271]~P1(x2712)+~P1(x2711)+~P15(x2713)+E(x2711,x2712)+P10(x2713,x2712)+~P10(f6(x2711,x2713),x2712)
% 28.86/28.88 [274]~P1(x2742)+~P15(x2741)+~P15(x2743)+P10(x2741,x2742)+P10(x2743,x2742)+~P10(f4(x2743,x2741),x2742)
% 28.86/28.88 [284]~P1(x2843)+~P15(x2842)+~P15(x2841)+~P5(a48,a49)+~E(f4(x2841,x2842),a2)+~E(f4(f4(x2841,f6(x2843,a49)),x2842),a46)
% 28.86/28.88 [246]~P1(x2464)+~P1(x2463)+~P15(x2462)+~P15(x2461)+E(x2461,x2462)+~E(f6(x2463,x2462),f6(x2464,x2461))
% 28.86/28.88 [247]~P1(x2472)+~P1(x2471)+~P15(x2474)+~P15(x2473)+E(x2471,x2472)+~E(f6(x2471,x2473),f6(x2472,x2474))
% 28.86/28.88 [276]~P1(x2762)+~P1(x2761)+E(x2761,x2762)+~P15(x2763)+~P15(x2764)+~P6(f6(x2761,x2764),f6(x2762,x2763))
% 28.86/28.88 [278]~P15(x2782)+~P15(x2781)+P6(x2781,x2782)+~P1(x2783)+~P1(x2784)+~P6(f6(x2784,x2781),f6(x2783,x2782))
% 28.86/28.88 [272]~P1(x2722)+~P15(x2721)+~P15(x2724)+~P15(x2723)+P10(x2721,x2722)+~E(f4(x2723,f6(x2722,x2724)),x2721)
% 28.86/28.88 [273]~P15(x2731)+~P15(x2732)+~P15(x2734)+~P15(x2733)+P14(x2731,x2732)+~E(f4(f4(x2733,x2732),x2734),x2731)
% 28.86/28.88 [277]~P15(x2773)+~P15(x2771)+~P15(x2774)+~P15(x2772)+~P14(x2772,x2774)+P14(f4(f4(x2771,x2772),x2773),x2774)
% 28.86/28.88 [207]~P15(x2072)+~P15(x2071)+E(x2071,x2072)+E(a49,x2072)+E(a49,x2071)+~E(f53(x2071),f53(x2072))+~E(f59(x2071),f59(x2072))
% 28.86/28.88 [275]~E(x2751,x2753)+~P1(x2753)+~P1(x2751)+~P15(x2754)+~P15(x2752)+~P6(x2752,x2754)+P6(f6(x2751,x2752),f6(x2753,x2754))
% 28.86/28.88 [283]~P1(x2832)+~P1(x2831)+~P15(x2834)+~P15(x2833)+~P15(x2835)+~P4(x2835)+E(x2831,x2832)+~E(f4(x2833,f6(x2831,f6(x2832,x2834))),x2835)
% 28.86/28.88 [291]~P1(x2912)+~P1(x2911)+~P15(x2915)+~P15(x2914)+~P15(x2913)+~P15(x2916)+~P3(x2916)+~E(x2911,x2912)+~E(f4(f4(x2913,f6(x2911,x2914)),f6(x2912,x2915)),x2916)
% 28.86/28.88 [292]~P1(x2922)+~P1(x2921)+~P15(x2925)+~P15(x2924)+~P15(x2923)+~P15(x2926)+~P19(x2926)+P7(x2921,x2922)+~E(f4(f4(x2923,f6(x2921,x2924)),f6(x2922,x2925)),x2926)
% 28.86/28.88 [293]~P1(x2932)+~P1(x2931)+~P15(x2935)+~P15(x2934)+~P15(x2933)+~P15(x2936)+~P18(x2936)+P11(x2931,x2932)+~E(f4(f4(x2933,f6(x2931,x2934)),f6(x2932,x2935)),x2936)
% 28.86/28.88 [294]P7(x2942,x2941)+~P1(x2941)+~P1(x2942)+~P15(x2945)+~P15(x2944)+~P15(x2943)+~P15(x2946)+~P16(x2946)+P7(x2941,x2942)+~E(f4(f4(x2943,f6(x2942,x2944)),f6(x2941,x2945)),x2946)
% 28.86/28.88 [295]P11(x2952,x2951)+~P1(x2951)+~P1(x2952)+~P15(x2955)+~P15(x2954)+~P15(x2953)+~P15(x2956)+~P17(x2956)+P11(x2951,x2952)+~E(f4(f4(x2953,f6(x2952,x2954)),f6(x2951,x2955)),x2956)
% 28.86/28.88 [296]~P1(x2964)+~P1(x2962)+~P15(x2965)+~P15(x2963)+~P15(x2961)+~P15(x2966)+~P2(x2966)+~P7(x2964,x2962)+~P7(x2962,x2964)+~E(f4(f4(x2961,f6(x2962,x2963)),f6(x2964,x2965)),x2966)
% 28.86/28.88 %EqnAxiom
% 28.86/28.88 [1]E(x11,x11)
% 28.86/28.88 [2]E(x22,x21)+~E(x21,x22)
% 28.86/28.88 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 28.86/28.88 [4]~E(x41,x42)+E(f53(x41),f53(x42))
% 28.86/28.88 [5]~E(x51,x52)+E(f27(x51),f27(x52))
% 28.86/28.88 [6]~E(x61,x62)+E(f59(x61),f59(x62))
% 28.86/28.88 [7]~E(x71,x72)+E(f45(x71),f45(x72))
% 28.86/28.88 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 28.86/28.88 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 28.86/28.88 [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 28.86/28.88 [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 28.86/28.88 [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 28.86/28.88 [13]~E(x131,x132)+E(f43(x131),f43(x132))
% 28.86/28.88 [14]~E(x141,x142)+E(f29(x141),f29(x142))
% 28.86/28.88 [15]~E(x151,x152)+E(f42(x151),f42(x152))
% 28.86/28.88 [16]~E(x161,x162)+E(f30(x161),f30(x162))
% 28.86/28.88 [17]~E(x171,x172)+E(f36(x171),f36(x172))
% 28.86/28.88 [18]~E(x181,x182)+E(f58(x181,x183),f58(x182,x183))
% 28.86/28.88 [19]~E(x191,x192)+E(f58(x193,x191),f58(x193,x192))
% 28.86/28.88 [20]~E(x201,x202)+E(f44(x201),f44(x202))
% 28.86/28.88 [21]~E(x211,x212)+E(f5(x211),f5(x212))
% 28.86/28.88 [22]~E(x221,x222)+E(f7(x221),f7(x222))
% 28.86/28.88 [23]~E(x231,x232)+E(f8(x231),f8(x232))
% 28.86/28.88 [24]~E(x241,x242)+E(f9(x241),f9(x242))
% 28.86/28.88 [25]~E(x251,x252)+E(f10(x251),f10(x252))
% 28.86/28.88 [26]~E(x261,x262)+E(f11(x261),f11(x262))
% 28.86/28.88 [27]~E(x271,x272)+E(f12(x271),f12(x272))
% 28.86/28.88 [28]~E(x281,x282)+E(f13(x281),f13(x282))
% 28.86/28.88 [29]~E(x291,x292)+E(f14(x291),f14(x292))
% 28.86/28.88 [30]~E(x301,x302)+E(f15(x301),f15(x302))
% 28.86/28.88 [31]~E(x311,x312)+E(f17(x311),f17(x312))
% 28.86/28.88 [32]~E(x321,x322)+E(f18(x321),f18(x322))
% 28.86/28.88 [33]~E(x331,x332)+E(f19(x331),f19(x332))
% 28.86/28.88 [34]~E(x341,x342)+E(f20(x341),f20(x342))
% 28.86/28.88 [35]~E(x351,x352)+E(f21(x351),f21(x352))
% 28.86/28.88 [36]~E(x361,x362)+E(f22(x361),f22(x362))
% 28.86/28.88 [37]~E(x371,x372)+E(f23(x371),f23(x372))
% 28.86/28.88 [38]~E(x381,x382)+E(f24(x381),f24(x382))
% 28.86/28.88 [39]~E(x391,x392)+E(f25(x391),f25(x392))
% 28.86/28.88 [40]~E(x401,x402)+E(f26(x401),f26(x402))
% 28.86/28.88 [41]~E(x411,x412)+E(f31(x411),f31(x412))
% 28.86/28.88 [42]~E(x421,x422)+E(f32(x421),f32(x422))
% 28.86/28.88 [43]~E(x431,x432)+E(f33(x431),f33(x432))
% 28.86/28.88 [44]~E(x441,x442)+E(f34(x441),f34(x442))
% 28.86/28.88 [45]~E(x451,x452)+E(f35(x451),f35(x452))
% 28.86/28.88 [46]~E(x461,x462)+E(f47(x461,x463),f47(x462,x463))
% 28.86/28.88 [47]~E(x471,x472)+E(f47(x473,x471),f47(x473,x472))
% 28.86/28.88 [48]~E(x481,x482)+E(f37(x481),f37(x482))
% 28.86/28.88 [49]~E(x491,x492)+E(f38(x491),f38(x492))
% 28.86/28.88 [50]~E(x501,x502)+E(f57(x501,x503),f57(x502,x503))
% 28.86/28.88 [51]~E(x511,x512)+E(f57(x513,x511),f57(x513,x512))
% 28.86/28.88 [52]~E(x521,x522)+E(f39(x521),f39(x522))
% 28.86/28.88 [53]~E(x531,x532)+E(f40(x531),f40(x532))
% 28.86/28.88 [54]~E(x541,x542)+E(f55(x541,x543),f55(x542,x543))
% 28.86/28.88 [55]~E(x551,x552)+E(f55(x553,x551),f55(x553,x552))
% 28.86/28.88 [56]~E(x561,x562)+E(f56(x561,x563),f56(x562,x563))
% 28.86/28.88 [57]~E(x571,x572)+E(f56(x573,x571),f56(x573,x572))
% 28.86/28.88 [58]~E(x581,x582)+E(f54(x581),f54(x582))
% 28.86/28.88 [59]~E(x591,x592)+E(f41(x591,x593),f41(x592,x593))
% 28.86/28.88 [60]~E(x601,x602)+E(f41(x603,x601),f41(x603,x602))
% 28.86/28.88 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 28.86/28.88 [62]P7(x622,x623)+~E(x621,x622)+~P7(x621,x623)
% 28.86/28.88 [63]P7(x633,x632)+~E(x631,x632)+~P7(x633,x631)
% 28.86/28.88 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 28.86/28.88 [65]P6(x652,x653)+~E(x651,x652)+~P6(x651,x653)
% 28.86/28.88 [66]P6(x663,x662)+~E(x661,x662)+~P6(x663,x661)
% 28.86/28.88 [67]P10(x672,x673)+~E(x671,x672)+~P10(x671,x673)
% 28.86/28.88 [68]P10(x683,x682)+~E(x681,x682)+~P10(x683,x681)
% 28.86/28.88 [69]P11(x692,x693)+~E(x691,x692)+~P11(x691,x693)
% 28.86/28.88 [70]P11(x703,x702)+~E(x701,x702)+~P11(x703,x701)
% 28.86/28.88 [71]P5(x712,x713)+~E(x711,x712)+~P5(x711,x713)
% 28.86/28.88 [72]P5(x723,x722)+~E(x721,x722)+~P5(x723,x721)
% 28.86/28.88 [73]~P2(x731)+P2(x732)+~E(x731,x732)
% 28.86/28.88 [74]~P16(x741)+P16(x742)+~E(x741,x742)
% 28.86/28.88 [75]~P17(x751)+P17(x752)+~E(x751,x752)
% 28.86/28.88 [76]~P19(x761)+P19(x762)+~E(x761,x762)
% 28.86/28.88 [77]~P18(x771)+P18(x772)+~E(x771,x772)
% 28.86/28.88 [78]~P3(x781)+P3(x782)+~E(x781,x782)
% 28.86/28.88 [79]~P4(x791)+P4(x792)+~E(x791,x792)
% 28.86/28.88 [80]P14(x802,x803)+~E(x801,x802)+~P14(x801,x803)
% 28.86/28.88 [81]P14(x813,x812)+~E(x811,x812)+~P14(x813,x811)
% 28.86/28.88 [82]~P12(x821)+P12(x822)+~E(x821,x822)
% 28.86/28.88 [83]P8(x832,x833)+~E(x831,x832)+~P8(x831,x833)
% 28.86/28.88 [84]P8(x843,x842)+~E(x841,x842)+~P8(x843,x841)
% 28.86/28.88 [85]P13(x852,x853)+~E(x851,x852)+~P13(x851,x853)
% 28.86/28.88 [86]P13(x863,x862)+~E(x861,x862)+~P13(x863,x861)
% 28.86/28.88 [87]P9(x872,x873)+~E(x871,x872)+~P9(x871,x873)
% 28.86/28.88 [88]P9(x883,x882)+~E(x881,x882)+~P9(x883,x881)
% 28.86/28.88
% 28.86/28.88 %-------------------------------------------
% 28.86/28.88 cnf(301,plain,
% 28.86/28.88 (~P5(x3011,x3011)+~P1(x3011)+~P1(x3011)),
% 28.86/28.88 inference(equality_inference,[],[200])).
% 28.86/28.88 cnf(303,plain,
% 28.86/28.88 (~P5(x3031,x3031)+~P15(x3031)+~P15(x3031)),
% 28.86/28.88 inference(equality_inference,[],[202])).
% 28.86/28.88 cnf(315,plain,
% 28.86/28.88 (~P1(x3151)+~P1(x3151)+~P6(x3152,x3153)+~P15(x3153)+~P15(x3152)+P6(f6(x3151,x3152),f6(x3151,x3153))),
% 28.86/28.88 inference(equality_inference,[],[275])).
% 28.86/28.88 cnf(329,plain,
% 28.86/28.88 (P5(a48,a49)),
% 28.86/28.88 inference(scs_inference,[],[89,90,94,105,91,2,179,301,303,71])).
% 28.86/28.88 cnf(336,plain,
% 28.86/28.88 (P1(a50)),
% 28.86/28.88 inference(scs_inference,[],[329,125])).
% 28.86/28.88 cnf(337,plain,
% 28.86/28.88 (P15(a51)),
% 28.86/28.88 inference(scs_inference,[],[329,126])).
% 28.86/28.88 cnf(338,plain,
% 28.86/28.88 (P15(a52)),
% 28.86/28.88 inference(scs_inference,[],[329,127])).
% 28.86/28.88 cnf(339,plain,
% 28.86/28.88 (E(f4(a51,a52),a1)),
% 28.86/28.88 inference(scs_inference,[],[329,177])).
% 28.86/28.88 cnf(340,plain,
% 28.86/28.88 (E(f4(f4(a51,f6(a50,a49)),a52),a48)),
% 28.86/28.88 inference(scs_inference,[],[329,268])).
% 28.86/28.88 cnf(341,plain,
% 28.86/28.88 (~P1(x3411)+~P15(x3412)+~P15(x3413)+~E(f4(x3413,x3412),a2)+~E(f4(f4(x3413,f6(x3411,a49)),x3412),a46)),
% 28.86/28.88 inference(scs_inference,[],[329,284])).
% 28.86/28.88 cnf(344,plain,
% 28.86/28.88 (E(a48,a46)),
% 28.86/28.88 inference(scs_inference,[],[90,92,179,2])).
% 28.86/28.88 cnf(360,plain,
% 28.86/28.88 (E(f4(a51,a52),a2)),
% 28.86/28.88 inference(scs_inference,[],[89,339,336,179,2,3])).
% 28.86/28.88 cnf(378,plain,
% 28.86/28.88 (E(a48,f4(f4(a51,f6(a50,a49)),a52))),
% 28.86/28.88 inference(scs_inference,[],[340,2])).
% 28.86/28.88 cnf(382,plain,
% 28.86/28.88 (P15(f4(f4(a51,f6(a50,a49)),a52))),
% 28.86/28.88 inference(scs_inference,[],[340,97,329,2,303,72,64])).
% 28.86/28.88 cnf(635,plain,
% 28.86/28.88 (P6(f6(a50,a46),f6(a50,a46))+~P6(a46,a46)),
% 28.86/28.88 inference(scs_inference,[],[95,336,315])).
% 28.86/28.88 cnf(1369,plain,
% 28.86/28.88 (P6(f6(a50,a46),f6(a50,a46))),
% 28.86/28.88 inference(scs_inference,[],[95,128,635])).
% 28.86/28.88 cnf(1373,plain,
% 28.86/28.88 (P6(a48,a46)),
% 28.86/28.88 inference(scs_inference,[],[90,95,336,1369,278,66,65])).
% 28.86/28.88 cnf(1377,plain,
% 28.86/28.88 (P6(a48,a48)),
% 28.86/28.88 inference(scs_inference,[],[90,1373,66])).
% 28.86/28.88 cnf(1378,plain,
% 28.86/28.88 (P6(a46,a48)),
% 28.86/28.88 inference(scs_inference,[],[90,344,1373,66,65])).
% 28.86/28.88 cnf(1403,plain,
% 28.86/28.88 (P13(a46,a48)),
% 28.86/28.88 inference(scs_inference,[],[97,344,129,85])).
% 28.86/28.88 cnf(1404,plain,
% 28.86/28.88 (P13(a48,a48)),
% 28.86/28.88 inference(scs_inference,[],[90,1403,85])).
% 28.86/28.88 cnf(1405,plain,
% 28.86/28.88 (P13(a46,a46)),
% 28.86/28.88 inference(scs_inference,[],[90,344,1403,85,86])).
% 28.86/28.88 cnf(1408,plain,
% 28.86/28.88 (P13(a48,a46)),
% 28.86/28.88 inference(scs_inference,[],[90,1405,85])).
% 28.86/28.88 cnf(1424,plain,
% 28.86/28.88 (P14(a46,a48)),
% 28.86/28.88 inference(scs_inference,[],[97,344,130,80])).
% 28.86/28.88 cnf(1426,plain,
% 28.86/28.88 (P14(a48,a48)),
% 28.86/28.88 inference(scs_inference,[],[90,344,1424,81,80])).
% 28.86/28.88 cnf(1429,plain,
% 28.86/28.88 (P14(a48,a46)),
% 28.86/28.88 inference(scs_inference,[],[344,1426,81])).
% 28.86/28.88 cnf(2844,plain,
% 28.86/28.88 (E(f4(f4(a51,f6(a50,a49)),a52),a46)),
% 28.86/28.88 inference(scs_inference,[],[95,378,1373,1378,1426,382,1404,65,85,80,86,81,66,230,2])).
% 28.86/28.88 cnf(2858,plain,
% 28.86/28.88 ($false),
% 28.86/28.88 inference(scs_inference,[],[378,337,338,1377,360,336,1424,1429,2844,1408,1403,65,85,80,86,81,66,341]),
% 28.86/28.88 ['proof']).
% 28.86/28.88 % SZS output end Proof
% 28.86/28.88 % Total time :28.160000s
%------------------------------------------------------------------------------