TSTP Solution File: SWC254+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWC254+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n007.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 : Thu Aug 31 20:17:57 EDT 2023
% Result : Theorem 0.63s 0.84s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC254+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 16:01:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.63/0.83 %-------------------------------------------
% 0.63/0.83 % File :CSE---1.6
% 0.63/0.83 % Problem :theBenchmark
% 0.63/0.83 % Transform :cnf
% 0.63/0.83 % Format :tptp:raw
% 0.63/0.83 % Command :java -jar mcs_scs.jar %d %s
% 0.63/0.83
% 0.63/0.83 % Result :Theorem 0.150000s
% 0.63/0.83 % Output :CNFRefutation 0.150000s
% 0.63/0.83 %-------------------------------------------
% 0.63/0.83 %--------------------------------------------------------------------------
% 0.63/0.83 % File : SWC254+1 : TPTP v8.1.2. Released v2.4.0.
% 0.63/0.83 % Domain : Software Creation
% 0.63/0.83 % Problem : cond_pst_singleton_ne_x_last
% 0.63/0.83 % Version : [Wei00] axioms.
% 0.63/0.83 % English : Find components in a software library that match a given target
% 0.63/0.83 % specification given in first-order logic. The components are
% 0.63/0.83 % specified in first-order logic as well. The problem represents
% 0.63/0.83 % a test of one library module specification against a target
% 0.63/0.83 % specification.
% 0.63/0.83
% 0.63/0.83 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.63/0.83 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.63/0.83 % Source : [Wei00]
% 0.63/0.83 % Names : cond_pst_singleton_ne_x_last [Wei00]
% 0.63/0.83
% 0.63/0.83 % Status : Theorem
% 0.63/0.83 % Rating : 0.17 v8.1.0, 0.25 v7.5.0, 0.22 v7.4.0, 0.17 v7.1.0, 0.22 v7.0.0, 0.17 v6.4.0, 0.19 v6.3.0, 0.25 v6.2.0, 0.32 v6.1.0, 0.37 v6.0.0, 0.26 v5.4.0, 0.32 v5.3.0, 0.30 v5.2.0, 0.20 v5.1.0, 0.19 v5.0.0, 0.17 v4.1.0, 0.22 v4.0.1, 0.26 v4.0.0, 0.29 v3.7.0, 0.25 v3.5.0, 0.21 v3.4.0, 0.26 v3.3.0, 0.14 v3.2.0, 0.27 v3.1.0, 0.33 v2.4.0
% 0.63/0.83 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 0.63/0.83 % Number of atoms : 408 ( 75 equ)
% 0.63/0.83 % Maximal formula atoms : 14 ( 4 avg)
% 0.63/0.83 % Number of connectives : 342 ( 30 ~; 14 |; 39 &)
% 0.63/0.83 % ( 26 <=>; 233 =>; 0 <=; 0 <~>)
% 0.63/0.83 % Maximal formula depth : 20 ( 7 avg)
% 0.63/0.83 % Maximal term depth : 4 ( 1 avg)
% 0.63/0.83 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.63/0.83 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 0.63/0.84 % Number of variables : 209 ( 196 !; 13 ?)
% 0.63/0.84 % SPC : FOF_THM_RFO_SEQ
% 0.63/0.84
% 0.63/0.84 % Comments :
% 0.63/0.84 %--------------------------------------------------------------------------
% 0.63/0.84 %----Include list specification axioms
% 0.63/0.84 include('Axioms/SWC001+0.ax').
% 0.63/0.84 %--------------------------------------------------------------------------
% 0.63/0.84 fof(co1,conjecture,
% 0.63/0.84 ! [U] :
% 0.63/0.84 ( ssList(U)
% 0.63/0.84 => ! [V] :
% 0.63/0.84 ( ssList(V)
% 0.63/0.84 => ! [W] :
% 0.63/0.84 ( ssList(W)
% 0.63/0.84 => ! [X] :
% 0.63/0.84 ( ssList(X)
% 0.63/0.84 => ( V != X
% 0.63/0.84 | U != W
% 0.63/0.84 | ( ( ~ neq(V,nil)
% 0.63/0.84 | ! [Y] :
% 0.63/0.84 ( ssItem(Y)
% 0.63/0.84 => ! [Z] :
% 0.63/0.84 ( ssList(Z)
% 0.63/0.84 => ( cons(Y,nil) != W
% 0.63/0.84 | app(Z,cons(Y,nil)) != X ) ) )
% 0.63/0.84 | singletonP(U) )
% 0.63/0.84 & ( ~ neq(V,nil)
% 0.63/0.84 | neq(X,nil) ) ) ) ) ) ) ) ).
% 0.63/0.84
% 0.63/0.84 %--------------------------------------------------------------------------
% 0.63/0.84 %-------------------------------------------
% 0.63/0.84 % Proof found
% 0.63/0.84 % SZS status Theorem for theBenchmark
% 0.63/0.84 % SZS output start Proof
% 0.63/0.84 %ClaNum:294(EqnAxiom:88)
% 0.63/0.84 %VarNum:1008(SingletonVarNum:327)
% 0.63/0.84 %MaxLitNum:10
% 0.63/0.84 %MaxfuncDepth:4
% 0.63/0.84 %SharedTerms:36
% 0.63/0.84 %goalClause: 89 90 94 95 96 97 105 125 126 169 177 212
% 0.63/0.84 %singleGoalClaCount:7
% 0.63/0.84 [89]E(a1,a2)
% 0.63/0.84 [90]E(a46,a48)
% 0.63/0.84 [91]P1(a3)
% 0.63/0.84 [92]P1(a16)
% 0.63/0.84 [93]P15(a49)
% 0.63/0.84 [94]P15(a2)
% 0.63/0.84 [95]P15(a46)
% 0.63/0.84 [96]P15(a1)
% 0.63/0.84 [97]P15(a48)
% 0.63/0.84 [98]P2(a49)
% 0.63/0.84 [99]P16(a49)
% 0.63/0.84 [100]P17(a49)
% 0.63/0.84 [101]P19(a49)
% 0.63/0.84 [102]P18(a49)
% 0.63/0.84 [103]P3(a49)
% 0.63/0.84 [104]P4(a49)
% 0.63/0.84 [105]P5(a46,a49)
% 0.63/0.84 [106]~E(a16,a3)
% 0.63/0.84 [107]~P12(a49)
% 0.63/0.84 [125]P1(a50)+~P5(a48,a49)
% 0.63/0.84 [126]~P5(a48,a49)+P15(a51)
% 0.63/0.84 [169]~P5(a48,a49)+~P12(a2)
% 0.63/0.84 [177]~P5(a48,a49)+E(f6(a50,a49),a1)
% 0.63/0.84 [212]~P5(a48,a49)+E(f4(a51,f6(a50,a49)),a48)
% 0.63/0.84 [119]~P15(x1191)+P6(x1191,a49)
% 0.63/0.84 [120]~P15(x1201)+P13(x1201,a49)
% 0.63/0.84 [121]~P15(x1211)+P14(x1211,a49)
% 0.63/0.84 [127]~P15(x1271)+P6(x1271,x1271)
% 0.63/0.84 [128]~P15(x1281)+P13(x1281,x1281)
% 0.63/0.84 [129]~P15(x1291)+P14(x1291,x1291)
% 0.63/0.84 [130]~P1(x1301)+P7(x1301,x1301)
% 0.63/0.84 [131]~P1(x1311)+P8(x1311,x1311)
% 0.63/0.84 [173]~P1(x1731)+~P10(a49,x1731)
% 0.63/0.84 [179]~P11(x1791,x1791)+~P1(x1791)
% 0.63/0.84 [123]~P15(x1231)+E(f4(x1231,a49),x1231)
% 0.63/0.84 [124]~P15(x1241)+E(f4(a49,x1241),x1241)
% 0.63/0.84 [184]~P1(x1841)+P2(f6(x1841,a49))
% 0.63/0.84 [185]~P1(x1851)+P16(f6(x1851,a49))
% 0.63/0.84 [186]~P1(x1861)+P17(f6(x1861,a49))
% 0.63/0.84 [187]~P1(x1871)+P19(f6(x1871,a49))
% 0.63/0.84 [188]~P1(x1881)+P18(f6(x1881,a49))
% 0.63/0.84 [189]~P1(x1891)+P3(f6(x1891,a49))
% 0.63/0.84 [190]~P1(x1901)+P4(f6(x1901,a49))
% 0.63/0.84 [166]~P15(x1661)+~E(a49,x1661)+P6(a49,x1661)
% 0.63/0.84 [167]~P15(x1671)+~E(a49,x1671)+P13(a49,x1671)
% 0.63/0.84 [168]~P15(x1681)+~E(a49,x1681)+P14(a49,x1681)
% 0.63/0.84 [174]~P15(x1741)+~P6(a49,x1741)+E(a49,x1741)
% 0.63/0.84 [175]~P15(x1751)+~P13(a49,x1751)+E(a49,x1751)
% 0.63/0.84 [176]~P15(x1761)+~P14(a49,x1761)+E(a49,x1761)
% 0.63/0.84 [111]~P15(x1111)+E(f52(x1111),f27(x1111))+E(a49,x1111)
% 0.63/0.84 [112]~P15(x1121)+E(f58(x1121),f45(x1121))+E(a49,x1121)
% 0.63/0.84 [113]~P15(x1131)+E(a49,x1131)+P1(f52(x1131))
% 0.63/0.84 [114]~P15(x1141)+E(a49,x1141)+P1(f28(x1141))
% 0.63/0.84 [115]~P15(x1151)+E(a49,x1151)+P1(f27(x1151))
% 0.63/0.84 [116]~P15(x1161)+E(a49,x1161)+P15(f58(x1161))
% 0.63/0.84 [117]~P15(x1171)+E(a49,x1171)+P15(f29(x1171))
% 0.63/0.84 [118]~P15(x1181)+E(a49,x1181)+P15(f45(x1181))
% 0.63/0.84 [122]P3(x1221)+~P15(x1221)+E(f30(x1221),f36(x1221))
% 0.63/0.84 [132]~P15(x1321)+P2(x1321)+P1(f5(x1321))
% 0.63/0.84 [133]~P15(x1331)+P2(x1331)+P1(f7(x1331))
% 0.63/0.84 [134]~P15(x1341)+P2(x1341)+P15(f8(x1341))
% 0.63/0.84 [135]~P15(x1351)+P2(x1351)+P15(f9(x1351))
% 0.63/0.84 [136]~P15(x1361)+P2(x1361)+P15(f10(x1361))
% 0.63/0.84 [137]~P15(x1371)+P16(x1371)+P1(f11(x1371))
% 0.63/0.84 [138]~P15(x1381)+P16(x1381)+P1(f12(x1381))
% 0.63/0.84 [139]~P15(x1391)+P16(x1391)+P15(f13(x1391))
% 0.63/0.84 [140]~P15(x1401)+P16(x1401)+P15(f14(x1401))
% 0.63/0.84 [141]~P15(x1411)+P16(x1411)+P15(f15(x1411))
% 0.63/0.84 [142]~P15(x1421)+P17(x1421)+P1(f17(x1421))
% 0.63/0.84 [143]~P15(x1431)+P17(x1431)+P1(f18(x1431))
% 0.63/0.84 [144]~P15(x1441)+P17(x1441)+P15(f19(x1441))
% 0.63/0.84 [145]~P15(x1451)+P17(x1451)+P15(f20(x1451))
% 0.63/0.84 [146]~P15(x1461)+P17(x1461)+P15(f21(x1461))
% 0.63/0.84 [147]~P15(x1471)+P19(x1471)+P1(f22(x1471))
% 0.63/0.84 [148]~P15(x1481)+P19(x1481)+P1(f23(x1481))
% 0.63/0.84 [149]~P15(x1491)+P19(x1491)+P15(f24(x1491))
% 0.63/0.84 [150]~P15(x1501)+P19(x1501)+P15(f25(x1501))
% 0.63/0.84 [151]~P15(x1511)+P19(x1511)+P15(f26(x1511))
% 0.63/0.84 [152]~P15(x1521)+P18(x1521)+P1(f31(x1521))
% 0.63/0.84 [153]~P15(x1531)+P18(x1531)+P1(f32(x1531))
% 0.63/0.84 [154]~P15(x1541)+P18(x1541)+P15(f33(x1541))
% 0.63/0.84 [155]~P15(x1551)+P18(x1551)+P15(f34(x1551))
% 0.63/0.84 [156]~P15(x1561)+P18(x1561)+P15(f35(x1561))
% 0.63/0.84 [157]~P15(x1571)+P3(x1571)+P1(f30(x1571))
% 0.63/0.84 [158]~P15(x1581)+P3(x1581)+P1(f36(x1581))
% 0.63/0.84 [159]~P15(x1591)+P3(x1591)+P15(f37(x1591))
% 0.63/0.84 [160]~P15(x1601)+P3(x1601)+P15(f38(x1601))
% 0.63/0.84 [161]~P15(x1611)+P3(x1611)+P15(f39(x1611))
% 0.63/0.84 [162]~P15(x1621)+P4(x1621)+P1(f40(x1621))
% 0.63/0.84 [163]~P15(x1631)+P4(x1631)+P1(f42(x1631))
% 0.63/0.84 [164]~P15(x1641)+P4(x1641)+P15(f43(x1641))
% 0.63/0.84 [165]~P15(x1651)+P4(x1651)+P15(f44(x1651))
% 0.63/0.84 [171]~P15(x1711)+P4(x1711)+~E(f42(x1711),f40(x1711))
% 0.63/0.84 [172]~P15(x1721)+~P12(x1721)+P1(f53(x1721))
% 0.63/0.84 [195]~P15(x1951)+P2(x1951)+P7(f5(x1951),f7(x1951))
% 0.63/0.84 [196]~P15(x1961)+P2(x1961)+P7(f7(x1961),f5(x1961))
% 0.63/0.84 [218]~P15(x2181)+P16(x2181)+~P7(f11(x2181),f12(x2181))
% 0.63/0.84 [219]~P15(x2191)+P16(x2191)+~P7(f12(x2191),f11(x2191))
% 0.63/0.84 [220]~P15(x2201)+P17(x2201)+~P11(f17(x2201),f18(x2201))
% 0.63/0.84 [221]~P15(x2211)+P17(x2211)+~P11(f18(x2211),f17(x2211))
% 0.63/0.84 [222]~P15(x2221)+P19(x2221)+~P7(f22(x2221),f23(x2221))
% 0.63/0.84 [223]~P15(x2231)+P18(x2231)+~P11(f31(x2231),f32(x2231))
% 0.63/0.84 [183]~P15(x1831)+~P12(x1831)+E(f6(f53(x1831),a49),x1831)
% 0.63/0.84 [191]~P15(x1911)+E(a49,x1911)+E(f6(f52(x1911),f58(x1911)),x1911)
% 0.63/0.84 [192]~P15(x1921)+E(a49,x1921)+E(f6(f28(x1921),f29(x1921)),x1921)
% 0.63/0.84 [283]P2(x2831)+~P15(x2831)+E(f4(f4(f8(x2831),f6(f5(x2831),f9(x2831))),f6(f7(x2831),f10(x2831))),x2831)
% 0.63/0.84 [284]P16(x2841)+~P15(x2841)+E(f4(f4(f13(x2841),f6(f11(x2841),f14(x2841))),f6(f12(x2841),f15(x2841))),x2841)
% 0.63/0.84 [285]P17(x2851)+~P15(x2851)+E(f4(f4(f19(x2851),f6(f17(x2851),f20(x2851))),f6(f18(x2851),f21(x2851))),x2851)
% 0.63/0.84 [286]P19(x2861)+~P15(x2861)+E(f4(f4(f24(x2861),f6(f22(x2861),f25(x2861))),f6(f23(x2861),f26(x2861))),x2861)
% 0.63/0.84 [287]P18(x2871)+~P15(x2871)+E(f4(f4(f33(x2871),f6(f31(x2871),f34(x2871))),f6(f32(x2871),f35(x2871))),x2871)
% 0.63/0.84 [288]P3(x2881)+~P15(x2881)+E(f4(f4(f37(x2881),f6(f30(x2881),f38(x2881))),f6(f36(x2881),f39(x2881))),x2881)
% 0.63/0.84 [281]P4(x2811)+~P15(x2811)+E(f4(f43(x2811),f6(f40(x2811),f6(f42(x2811),f44(x2811)))),x2811)
% 0.63/0.84 [193]~P1(x1931)+~P15(x1932)+~E(f6(x1931,x1932),a49)
% 0.63/0.84 [194]~P1(x1941)+~P15(x1942)+~E(f6(x1941,x1942),x1942)
% 0.63/0.84 [204]~P1(x2041)+~P15(x2042)+P15(f6(x2041,x2042))
% 0.63/0.84 [205]~P15(x2052)+~P15(x2051)+P15(f4(x2051,x2052))
% 0.63/0.84 [206]~P1(x2061)+~P15(x2062)+E(f52(f6(x2061,x2062)),x2061)
% 0.63/0.84 [207]~P1(x2071)+~P15(x2072)+E(f58(f6(x2071,x2072)),x2072)
% 0.63/0.84 [235]~P1(x2351)+~P15(x2352)+E(f4(f6(x2351,a49),x2352),f6(x2351,x2352))
% 0.63/0.84 [180]P5(x1801,x1802)+~P1(x1802)+~P1(x1801)+E(x1801,x1802)
% 0.63/0.84 [181]P5(x1811,x1812)+~P15(x1812)+~P15(x1811)+E(x1811,x1812)
% 0.63/0.84 [200]~P1(x2002)+~P1(x2001)+~P5(x2001,x2002)+~E(x2001,x2002)
% 0.63/0.84 [201]~P1(x2012)+~P1(x2011)+~P11(x2011,x2012)+~E(x2011,x2012)
% 0.63/0.84 [202]~P15(x2022)+~P15(x2021)+~P5(x2021,x2022)+~E(x2021,x2022)
% 0.63/0.84 [213]~P1(x2131)+~P1(x2132)+~P8(x2132,x2131)+P7(x2131,x2132)
% 0.63/0.84 [214]~P1(x2142)+~P1(x2141)+~P11(x2141,x2142)+P7(x2141,x2142)
% 0.63/0.84 [215]~P1(x2151)+~P1(x2152)+~P9(x2152,x2151)+P11(x2151,x2152)
% 0.63/0.84 [216]~P1(x2161)+~P1(x2162)+~P7(x2162,x2161)+P8(x2161,x2162)
% 0.63/0.84 [217]~P1(x2171)+~P1(x2172)+~P11(x2172,x2171)+P9(x2171,x2172)
% 0.63/0.84 [226]~P11(x2261,x2262)+~P11(x2262,x2261)+~P1(x2261)+~P1(x2262)
% 0.63/0.84 [227]~P9(x2271,x2272)+~P9(x2272,x2271)+~P1(x2271)+~P1(x2272)
% 0.63/0.84 [197]~P15(x1972)+~P15(x1971)+E(a49,x1971)+~E(f4(x1972,x1971),a49)
% 0.63/0.84 [198]~P15(x1982)+~P15(x1981)+E(a49,x1981)+~E(f4(x1981,x1982),a49)
% 0.63/0.84 [199]~P1(x1992)+~P15(x1991)+P12(x1991)+~E(f6(x1992,a49),x1991)
% 0.63/0.84 [209]~P1(x2091)+~P15(x2092)+~E(a49,x2092)+P19(f6(x2091,x2092))
% 0.63/0.84 [210]~P1(x2101)+~P15(x2102)+~E(a49,x2102)+P18(f6(x2101,x2102))
% 0.63/0.84 [238]~P1(x2382)+~P15(x2381)+~P10(x2381,x2382)+P15(f41(x2381,x2382))
% 0.63/0.84 [239]~P1(x2392)+~P15(x2391)+~P10(x2391,x2392)+P15(f47(x2391,x2392))
% 0.63/0.84 [240]~P15(x2402)+~P15(x2401)+~P6(x2401,x2402)+P15(f54(x2401,x2402))
% 0.63/0.84 [241]~P15(x2412)+~P15(x2411)+~P13(x2411,x2412)+P15(f55(x2411,x2412))
% 0.63/0.84 [242]~P15(x2422)+~P15(x2421)+~P14(x2421,x2422)+P15(f56(x2421,x2422))
% 0.63/0.84 [243]~P15(x2432)+~P15(x2431)+~P14(x2431,x2432)+P15(f57(x2431,x2432))
% 0.63/0.84 [211]~P15(x2112)+~P15(x2111)+E(a49,x2111)+E(f52(f4(x2111,x2112)),f52(x2111))
% 0.63/0.84 [237]~P15(x2372)+~P15(x2371)+E(a49,x2371)+E(f58(f4(x2371,x2372)),f4(f58(x2371),x2372))
% 0.63/0.84 [250]~P15(x2502)+~P15(x2501)+~P6(x2502,x2501)+E(f4(x2501,f54(x2502,x2501)),x2502)
% 0.63/0.84 [251]~P15(x2512)+~P15(x2511)+~P13(x2511,x2512)+E(f4(f55(x2511,x2512),x2512),x2511)
% 0.63/0.84 [280]~P15(x2802)+~P15(x2801)+~P14(x2801,x2802)+E(f4(f4(f56(x2801,x2802),x2802),f57(x2801,x2802)),x2801)
% 0.63/0.84 [279]~P1(x2792)+~P15(x2791)+~P10(x2791,x2792)+E(f4(f41(x2791,x2792),f6(x2792,f47(x2791,x2792))),x2791)
% 0.63/0.84 [269]~P1(x2691)+~P15(x2692)+~P15(x2693)+E(f4(f6(x2691,x2692),x2693),f6(x2691,f4(x2692,x2693)))
% 0.63/0.84 [270]~P15(x2703)+~P15(x2702)+~P15(x2701)+E(f4(f4(x2701,x2702),x2703),f4(x2701,f4(x2702,x2703)))
% 0.63/0.84 [225]P11(x2251,x2252)+~P1(x2252)+~P1(x2251)+~P7(x2251,x2252)+E(x2251,x2252)
% 0.63/0.84 [230]~P1(x2302)+~P1(x2301)+~P7(x2302,x2301)+~P7(x2301,x2302)+E(x2301,x2302)
% 0.63/0.84 [231]~P1(x2312)+~P1(x2311)+~P8(x2312,x2311)+~P8(x2311,x2312)+E(x2311,x2312)
% 0.63/0.84 [232]~P15(x2322)+~P15(x2321)+~P6(x2322,x2321)+~P6(x2321,x2322)+E(x2321,x2322)
% 0.63/0.84 [233]~P15(x2332)+~P15(x2331)+~P13(x2332,x2331)+~P13(x2331,x2332)+E(x2331,x2332)
% 0.63/0.84 [234]~P15(x2342)+~P15(x2341)+~P14(x2342,x2341)+~P14(x2341,x2342)+E(x2341,x2342)
% 0.63/0.84 [182]~P15(x1821)+~P15(x1822)+~E(a49,x1821)+~E(a49,x1822)+E(f4(x1821,x1822),a49)
% 0.63/0.84 [246]P19(x2461)+~P15(x2461)+~P1(x2462)+E(a49,x2461)+~P19(f6(x2462,x2461))
% 0.63/0.84 [247]P18(x2471)+~P15(x2471)+~P1(x2472)+E(a49,x2471)+~P18(f6(x2472,x2471))
% 0.63/0.84 [260]~P1(x2602)+~P15(x2601)+E(a49,x2601)+P7(x2602,f52(x2601))+~P19(f6(x2602,x2601))
% 0.63/0.84 [261]~P1(x2612)+~P15(x2611)+E(a49,x2611)+P11(x2612,f52(x2611))+~P18(f6(x2612,x2611))
% 0.63/0.84 [228]~P15(x2281)+~P15(x2282)+~P15(x2283)+P6(x2281,x2282)+~E(f4(x2282,x2283),x2281)
% 0.63/0.84 [229]~P15(x2291)+~P15(x2292)+~P15(x2293)+P13(x2291,x2292)+~E(f4(x2293,x2292),x2291)
% 0.63/0.84 [236]~E(x2363,x2361)+~P1(x2361)+~P1(x2363)+~P15(x2362)+P10(f6(x2361,x2362),x2363)
% 0.63/0.84 [244]~P15(x2442)+~P15(x2443)+~P15(x2441)+E(x2441,x2442)+~E(f4(x2443,x2441),f4(x2443,x2442))
% 0.63/0.84 [245]~P15(x2452)+~P15(x2453)+~P15(x2451)+E(x2451,x2452)+~E(f4(x2451,x2453),f4(x2452,x2453))
% 0.63/0.84 [262]~P1(x2621)+~P1(x2623)+~P15(x2622)+~P10(x2622,x2623)+P10(f6(x2621,x2622),x2623)
% 0.63/0.84 [263]~P1(x2633)+~P15(x2631)+~P15(x2632)+~P10(x2632,x2633)+P10(f4(x2631,x2632),x2633)
% 0.63/0.84 [264]~P1(x2643)+~P15(x2642)+~P15(x2641)+~P10(x2641,x2643)+P10(f4(x2641,x2642),x2643)
% 0.63/0.84 [265]~P15(x2652)+~P15(x2653)+~P15(x2651)+~P6(x2651,x2653)+P6(f4(x2651,x2652),x2653)
% 0.63/0.84 [266]~P15(x2661)+~P15(x2663)+~P15(x2662)+~P13(x2662,x2663)+P13(f4(x2661,x2662),x2663)
% 0.63/0.84 [267]~P1(x2672)+~P15(x2671)+~P19(x2671)+~P7(x2672,f52(x2671))+E(a49,x2671)+P19(f6(x2672,x2671))
% 0.63/0.84 [268]~P1(x2682)+~P15(x2681)+~P18(x2681)+~P11(x2682,f52(x2681))+E(a49,x2681)+P18(f6(x2682,x2681))
% 0.63/0.84 [252]~P15(x2522)+~P15(x2521)+~P6(x2523,x2522)+~P6(x2521,x2523)+P6(x2521,x2522)+~P15(x2523)
% 0.63/0.84 [253]~P15(x2532)+~P15(x2531)+~P13(x2533,x2532)+~P13(x2531,x2533)+P13(x2531,x2532)+~P15(x2533)
% 0.63/0.84 [254]~P15(x2542)+~P15(x2541)+~P14(x2543,x2542)+~P14(x2541,x2543)+P14(x2541,x2542)+~P15(x2543)
% 0.63/0.85 [255]~P1(x2552)+~P1(x2551)+~P7(x2553,x2552)+~P7(x2551,x2553)+P7(x2551,x2552)+~P1(x2553)
% 0.63/0.85 [256]~P1(x2562)+~P1(x2561)+~P7(x2561,x2563)+~P11(x2563,x2562)+P11(x2561,x2562)+~P1(x2563)
% 0.63/0.85 [257]~P1(x2572)+~P1(x2571)+~P11(x2573,x2572)+~P11(x2571,x2573)+P11(x2571,x2572)+~P1(x2573)
% 0.63/0.85 [258]~P1(x2582)+~P1(x2581)+~P8(x2583,x2582)+~P8(x2581,x2583)+P8(x2581,x2582)+~P1(x2583)
% 0.63/0.85 [259]~P1(x2592)+~P1(x2591)+~P9(x2593,x2592)+~P9(x2591,x2593)+P9(x2591,x2592)+~P1(x2593)
% 0.63/0.85 [271]~P1(x2712)+~P1(x2711)+~P15(x2713)+E(x2711,x2712)+P10(x2713,x2712)+~P10(f6(x2711,x2713),x2712)
% 0.63/0.85 [274]~P1(x2742)+~P15(x2741)+~P15(x2743)+P10(x2741,x2742)+P10(x2743,x2742)+~P10(f4(x2743,x2741),x2742)
% 0.63/0.85 [248]~P1(x2484)+~P1(x2483)+~P15(x2482)+~P15(x2481)+E(x2481,x2482)+~E(f6(x2483,x2482),f6(x2484,x2481))
% 0.63/0.85 [249]~P1(x2492)+~P1(x2491)+~P15(x2494)+~P15(x2493)+E(x2491,x2492)+~E(f6(x2491,x2493),f6(x2492,x2494))
% 0.63/0.85 [276]~P1(x2762)+~P1(x2761)+E(x2761,x2762)+~P15(x2763)+~P15(x2764)+~P6(f6(x2761,x2764),f6(x2762,x2763))
% 0.63/0.85 [278]~P15(x2782)+~P15(x2781)+P6(x2781,x2782)+~P1(x2783)+~P1(x2784)+~P6(f6(x2784,x2781),f6(x2783,x2782))
% 0.63/0.85 [272]~P1(x2722)+~P15(x2721)+~P15(x2724)+~P15(x2723)+P10(x2721,x2722)+~E(f4(x2723,f6(x2722,x2724)),x2721)
% 0.63/0.85 [273]~P15(x2731)+~P15(x2732)+~P15(x2734)+~P15(x2733)+P14(x2731,x2732)+~E(f4(f4(x2733,x2732),x2734),x2731)
% 0.63/0.85 [277]~P15(x2773)+~P15(x2771)+~P15(x2774)+~P15(x2772)+~P14(x2772,x2774)+P14(f4(f4(x2771,x2772),x2773),x2774)
% 0.63/0.85 [208]~P15(x2082)+~P15(x2081)+E(x2081,x2082)+E(a49,x2082)+E(a49,x2081)+~E(f52(x2081),f52(x2082))+~E(f58(x2081),f58(x2082))
% 0.63/0.85 [275]~E(x2751,x2753)+~P1(x2753)+~P1(x2751)+~P15(x2754)+~P15(x2752)+~P6(x2752,x2754)+P6(f6(x2751,x2752),f6(x2753,x2754))
% 0.63/0.85 [282]~P1(x2822)+~P1(x2821)+~P15(x2824)+~P15(x2823)+~P15(x2825)+~P4(x2825)+E(x2821,x2822)+~E(f4(x2823,f6(x2821,f6(x2822,x2824))),x2825)
% 0.63/0.85 [289]~P1(x2892)+~P1(x2891)+~P15(x2895)+~P15(x2894)+~P15(x2893)+~P15(x2896)+~P3(x2896)+~E(x2891,x2892)+~E(f4(f4(x2893,f6(x2891,x2894)),f6(x2892,x2895)),x2896)
% 0.63/0.85 [290]~P1(x2902)+~P1(x2901)+~P15(x2905)+~P15(x2904)+~P15(x2903)+~P15(x2906)+~P19(x2906)+P7(x2901,x2902)+~E(f4(f4(x2903,f6(x2901,x2904)),f6(x2902,x2905)),x2906)
% 0.63/0.85 [291]~P1(x2912)+~P1(x2911)+~P15(x2915)+~P15(x2914)+~P15(x2913)+~P15(x2916)+~P18(x2916)+P11(x2911,x2912)+~E(f4(f4(x2913,f6(x2911,x2914)),f6(x2912,x2915)),x2916)
% 0.63/0.85 [292]P7(x2922,x2921)+~P1(x2921)+~P1(x2922)+~P15(x2925)+~P15(x2924)+~P15(x2923)+~P15(x2926)+~P16(x2926)+P7(x2921,x2922)+~E(f4(f4(x2923,f6(x2922,x2924)),f6(x2921,x2925)),x2926)
% 0.63/0.85 [293]P11(x2932,x2931)+~P1(x2931)+~P1(x2932)+~P15(x2935)+~P15(x2934)+~P15(x2933)+~P15(x2936)+~P17(x2936)+P11(x2931,x2932)+~E(f4(f4(x2933,f6(x2932,x2934)),f6(x2931,x2935)),x2936)
% 0.63/0.85 [294]~P1(x2944)+~P1(x2942)+~P15(x2945)+~P15(x2943)+~P15(x2941)+~P15(x2946)+~P2(x2946)+~P7(x2944,x2942)+~P7(x2942,x2944)+~E(f4(f4(x2941,f6(x2942,x2943)),f6(x2944,x2945)),x2946)
% 0.63/0.85 %EqnAxiom
% 0.63/0.85 [1]E(x11,x11)
% 0.63/0.85 [2]E(x22,x21)+~E(x21,x22)
% 0.63/0.85 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.63/0.85 [4]~E(x41,x42)+E(f52(x41),f52(x42))
% 0.63/0.85 [5]~E(x51,x52)+E(f27(x51),f27(x52))
% 0.63/0.85 [6]~E(x61,x62)+E(f58(x61),f58(x62))
% 0.63/0.85 [7]~E(x71,x72)+E(f45(x71),f45(x72))
% 0.63/0.85 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 0.63/0.85 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 0.63/0.85 [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 0.63/0.85 [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 0.63/0.85 [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 0.63/0.85 [13]~E(x131,x132)+E(f42(x131),f42(x132))
% 0.63/0.85 [14]~E(x141,x142)+E(f29(x141),f29(x142))
% 0.63/0.85 [15]~E(x151,x152)+E(f40(x151),f40(x152))
% 0.63/0.85 [16]~E(x161,x162)+E(f30(x161),f30(x162))
% 0.63/0.85 [17]~E(x171,x172)+E(f36(x171),f36(x172))
% 0.63/0.85 [18]~E(x181,x182)+E(f43(x181),f43(x182))
% 0.63/0.85 [19]~E(x191,x192)+E(f57(x191,x193),f57(x192,x193))
% 0.63/0.85 [20]~E(x201,x202)+E(f57(x203,x201),f57(x203,x202))
% 0.63/0.85 [21]~E(x211,x212)+E(f5(x211),f5(x212))
% 0.63/0.85 [22]~E(x221,x222)+E(f7(x221),f7(x222))
% 0.63/0.85 [23]~E(x231,x232)+E(f8(x231),f8(x232))
% 0.63/0.85 [24]~E(x241,x242)+E(f9(x241),f9(x242))
% 0.63/0.85 [25]~E(x251,x252)+E(f10(x251),f10(x252))
% 0.63/0.85 [26]~E(x261,x262)+E(f11(x261),f11(x262))
% 0.63/0.85 [27]~E(x271,x272)+E(f12(x271),f12(x272))
% 0.63/0.85 [28]~E(x281,x282)+E(f13(x281),f13(x282))
% 0.63/0.85 [29]~E(x291,x292)+E(f14(x291),f14(x292))
% 0.63/0.85 [30]~E(x301,x302)+E(f15(x301),f15(x302))
% 0.63/0.85 [31]~E(x311,x312)+E(f17(x311),f17(x312))
% 0.63/0.85 [32]~E(x321,x322)+E(f18(x321),f18(x322))
% 0.63/0.85 [33]~E(x331,x332)+E(f19(x331),f19(x332))
% 0.63/0.85 [34]~E(x341,x342)+E(f20(x341),f20(x342))
% 0.63/0.85 [35]~E(x351,x352)+E(f21(x351),f21(x352))
% 0.63/0.85 [36]~E(x361,x362)+E(f22(x361),f22(x362))
% 0.63/0.85 [37]~E(x371,x372)+E(f23(x371),f23(x372))
% 0.63/0.85 [38]~E(x381,x382)+E(f24(x381),f24(x382))
% 0.63/0.85 [39]~E(x391,x392)+E(f25(x391),f25(x392))
% 0.63/0.85 [40]~E(x401,x402)+E(f26(x401),f26(x402))
% 0.63/0.85 [41]~E(x411,x412)+E(f31(x411),f31(x412))
% 0.63/0.85 [42]~E(x421,x422)+E(f32(x421),f32(x422))
% 0.63/0.85 [43]~E(x431,x432)+E(f33(x431),f33(x432))
% 0.63/0.85 [44]~E(x441,x442)+E(f34(x441),f34(x442))
% 0.63/0.85 [45]~E(x451,x452)+E(f35(x451),f35(x452))
% 0.63/0.85 [46]~E(x461,x462)+E(f37(x461),f37(x462))
% 0.63/0.85 [47]~E(x471,x472)+E(f54(x471,x473),f54(x472,x473))
% 0.63/0.85 [48]~E(x481,x482)+E(f54(x483,x481),f54(x483,x482))
% 0.63/0.85 [49]~E(x491,x492)+E(f41(x491,x493),f41(x492,x493))
% 0.63/0.85 [50]~E(x501,x502)+E(f41(x503,x501),f41(x503,x502))
% 0.63/0.85 [51]~E(x511,x512)+E(f38(x511),f38(x512))
% 0.63/0.85 [52]~E(x521,x522)+E(f39(x521),f39(x522))
% 0.63/0.85 [53]~E(x531,x532)+E(f55(x531,x533),f55(x532,x533))
% 0.63/0.85 [54]~E(x541,x542)+E(f55(x543,x541),f55(x543,x542))
% 0.63/0.85 [55]~E(x551,x552)+E(f44(x551),f44(x552))
% 0.63/0.85 [56]~E(x561,x562)+E(f47(x561,x563),f47(x562,x563))
% 0.63/0.85 [57]~E(x571,x572)+E(f47(x573,x571),f47(x573,x572))
% 0.63/0.85 [58]~E(x581,x582)+E(f53(x581),f53(x582))
% 0.63/0.85 [59]~E(x591,x592)+E(f56(x591,x593),f56(x592,x593))
% 0.63/0.85 [60]~E(x601,x602)+E(f56(x603,x601),f56(x603,x602))
% 0.63/0.85 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 0.63/0.85 [62]P7(x622,x623)+~E(x621,x622)+~P7(x621,x623)
% 0.63/0.85 [63]P7(x633,x632)+~E(x631,x632)+~P7(x633,x631)
% 0.63/0.85 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 0.63/0.85 [65]P10(x652,x653)+~E(x651,x652)+~P10(x651,x653)
% 0.63/0.85 [66]P10(x663,x662)+~E(x661,x662)+~P10(x663,x661)
% 0.63/0.85 [67]~P4(x671)+P4(x672)+~E(x671,x672)
% 0.63/0.85 [68]~P3(x681)+P3(x682)+~E(x681,x682)
% 0.63/0.85 [69]~P18(x691)+P18(x692)+~E(x691,x692)
% 0.63/0.85 [70]~P2(x701)+P2(x702)+~E(x701,x702)
% 0.63/0.85 [71]~P16(x711)+P16(x712)+~E(x711,x712)
% 0.63/0.85 [72]~P17(x721)+P17(x722)+~E(x721,x722)
% 0.63/0.85 [73]~P19(x731)+P19(x732)+~E(x731,x732)
% 0.63/0.85 [74]P5(x742,x743)+~E(x741,x742)+~P5(x741,x743)
% 0.63/0.85 [75]P5(x753,x752)+~E(x751,x752)+~P5(x753,x751)
% 0.63/0.85 [76]P9(x762,x763)+~E(x761,x762)+~P9(x761,x763)
% 0.63/0.85 [77]P9(x773,x772)+~E(x771,x772)+~P9(x773,x771)
% 0.63/0.85 [78]P6(x782,x783)+~E(x781,x782)+~P6(x781,x783)
% 0.63/0.85 [79]P6(x793,x792)+~E(x791,x792)+~P6(x793,x791)
% 0.63/0.85 [80]~P12(x801)+P12(x802)+~E(x801,x802)
% 0.63/0.85 [81]P11(x812,x813)+~E(x811,x812)+~P11(x811,x813)
% 0.63/0.85 [82]P11(x823,x822)+~E(x821,x822)+~P11(x823,x821)
% 0.63/0.85 [83]P13(x832,x833)+~E(x831,x832)+~P13(x831,x833)
% 0.63/0.85 [84]P13(x843,x842)+~E(x841,x842)+~P13(x843,x841)
% 0.63/0.85 [85]P14(x852,x853)+~E(x851,x852)+~P14(x851,x853)
% 0.63/0.85 [86]P14(x863,x862)+~E(x861,x862)+~P14(x863,x861)
% 0.63/0.85 [87]P8(x872,x873)+~E(x871,x872)+~P8(x871,x873)
% 0.63/0.85 [88]P8(x883,x882)+~E(x881,x882)+~P8(x883,x881)
% 0.63/0.85
% 0.63/0.85 %-------------------------------------------
% 0.63/0.85 cnf(295,plain,
% 0.63/0.85 (E(a2,a1)),
% 0.63/0.85 inference(scs_inference,[],[89,2])).
% 0.63/0.85 cnf(296,plain,
% 0.63/0.85 (~P11(a3,a3)),
% 0.63/0.85 inference(scs_inference,[],[89,91,2,179])).
% 0.63/0.85 cnf(301,plain,
% 0.63/0.85 (~P10(a49,a3)),
% 0.63/0.85 inference(scs_inference,[],[89,90,95,105,91,93,2,179,74,202,173])).
% 0.63/0.85 cnf(303,plain,
% 0.63/0.85 (~P12(a2)),
% 0.63/0.85 inference(scs_inference,[],[89,90,95,105,91,93,2,179,74,202,173,169])).
% 0.63/0.85 cnf(308,plain,
% 0.63/0.85 (P14(a2,a2)),
% 0.63/0.85 inference(scs_inference,[],[89,90,94,95,105,91,93,2,179,74,202,173,169,131,130,129])).
% 0.63/0.85 cnf(310,plain,
% 0.63/0.85 (P13(a2,a2)),
% 0.63/0.85 inference(scs_inference,[],[89,90,94,95,105,91,93,2,179,74,202,173,169,131,130,129,128])).
% 0.63/0.85 cnf(312,plain,
% 0.63/0.85 (P6(a2,a2)),
% 0.63/0.85 inference(scs_inference,[],[89,90,94,95,105,91,93,2,179,74,202,173,169,131,130,129,128,127])).
% 0.63/0.85 cnf(315,plain,
% 0.63/0.85 (P1(a50)),
% 0.63/0.85 inference(scs_inference,[],[89,90,94,95,105,91,93,2,179,74,202,173,169,131,130,129,128,127,126,125])).
% 0.63/0.85 cnf(322,plain,
% 0.63/0.85 (E(f6(a50,a49),a1)),
% 0.63/0.85 inference(scs_inference,[],[89,90,94,95,105,91,93,2,179,74,202,173,169,131,130,129,128,127,126,125,121,120,119,177])).
% 0.63/0.85 cnf(342,plain,
% 0.63/0.85 (E(f56(x3421,a1),f56(x3421,a2))),
% 0.63/0.85 inference(scs_inference,[],[89,90,94,95,105,91,93,2,179,74,202,173,169,131,130,129,128,127,126,125,121,120,119,177,212,190,189,188,187,186,185,184,124,123,60])).
% 0.63/0.85 cnf(343,plain,
% 0.63/0.85 (E(f56(a1,x3431),f56(a2,x3431))),
% 0.63/0.85 inference(scs_inference,[],[89,90,94,95,105,91,93,2,179,74,202,173,169,131,130,129,128,127,126,125,121,120,119,177,212,190,189,188,187,186,185,184,124,123,60,59])).
% 0.63/0.85 cnf(545,plain,
% 0.63/0.85 ($false),
% 0.63/0.85 inference(scs_inference,[],[89,96,100,106,92,93,91,94,296,342,343,308,310,312,295,301,303,315,322,205,204,202,199,241,240,270,269,251,250,280,266,265,83,78,3,207,206,194,193,235,215,181,180,243,242,277,271,293,2,86,85,84,80]),
% 0.63/0.85 ['proof']).
% 0.63/0.85 % SZS output end Proof
% 0.63/0.85 % Total time :0.150000s
%------------------------------------------------------------------------------