%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC121+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 : n021.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 16:14:04 EDT 2024
% Result : Theorem 0.55s 0.78s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC121+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n021.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
% 0.13/0.35 % DateTime : Thu Jun 20 03:22:54 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.47/0.58 start to proof:theBenchmark
% 0.55/0.77 %-------------------------------------------
% 0.55/0.77 % File :CSE---1.7
% 0.55/0.77 % Problem :theBenchmark
% 0.55/0.77 % Transform :cnf
% 0.55/0.77 % Format :tptp:raw
% 0.55/0.77 % Command :java -jar mcs_scs.jar %d %s
% 0.55/0.77
% 0.55/0.77 % Result :Theorem 0.060000s
% 0.55/0.77 % Output :CNFRefutation 0.060000s
% 0.55/0.77 %-------------------------------------------
% 0.55/0.78 %--------------------------------------------------------------------------
% 0.55/0.78 % File : SWC121+1 : TPTP v8.2.0. Released v2.4.0.
% 0.55/0.78 % Domain : Software Creation
% 0.55/0.78 % Problem : cond_ne_segment_x_ne_segment
% 0.55/0.78 % Version : [Wei00] axioms.
% 0.55/0.78 % English : Find components in a software library that match a given target
% 0.55/0.78 % specification given in first-order logic. The components are
% 0.55/0.78 % specified in first-order logic as well. The problem represents
% 0.55/0.78 % a test of one library module specification against a target
% 0.55/0.78 % specification.
% 0.55/0.78
% 0.55/0.78 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.55/0.78 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.55/0.78 % Source : [Wei00]
% 0.55/0.78 % Names : cond_ne_segment_x_ne_segment [Wei00]
% 0.55/0.78
% 0.55/0.78 % Status : Theorem
% 0.55/0.78 % Rating : 0.14 v8.2.0, 0.11 v8.1.0, 0.08 v7.5.0, 0.09 v7.4.0, 0.10 v7.1.0, 0.17 v7.0.0, 0.10 v6.4.0, 0.12 v6.2.0, 0.16 v6.1.0, 0.13 v6.0.0, 0.04 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.05 v5.0.0, 0.00 v4.1.0, 0.04 v4.0.1, 0.13 v4.0.0, 0.17 v3.7.0, 0.10 v3.5.0, 0.05 v3.4.0, 0.16 v3.3.0, 0.07 v3.2.0, 0.09 v3.1.0, 0.22 v2.7.0, 0.33 v2.5.0, 0.17 v2.4.0
% 0.55/0.78 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 0.55/0.78 % Number of atoms : 407 ( 73 equ)
% 0.55/0.78 % Maximal formula atoms : 13 ( 4 avg)
% 0.55/0.78 % Number of connectives : 341 ( 30 ~; 14 |; 40 &)
% 0.55/0.78 % ( 26 <=>; 231 =>; 0 <=; 0 <~>)
% 0.55/0.78 % Maximal formula depth : 17 ( 7 avg)
% 0.55/0.78 % Maximal term depth : 4 ( 1 avg)
% 0.55/0.78 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.55/0.78 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 0.55/0.78 % Number of variables : 207 ( 194 !; 13 ?)
% 0.55/0.78 % SPC : FOF_THM_RFO_SEQ
% 0.55/0.78
% 0.55/0.78 % Comments :
% 0.55/0.78 %--------------------------------------------------------------------------
% 0.55/0.78 %----Include list specification axioms
% 0.55/0.78 include('Axioms/SWC001+0.ax').
% 0.55/0.78 %--------------------------------------------------------------------------
% 0.55/0.78 fof(co1,conjecture,
% 0.55/0.78 ! [U] :
% 0.55/0.78 ( ssList(U)
% 0.55/0.78 => ! [V] :
% 0.55/0.78 ( ssList(V)
% 0.55/0.78 => ! [W] :
% 0.55/0.78 ( ssList(W)
% 0.55/0.78 => ! [X] :
% 0.55/0.78 ( ssList(X)
% 0.55/0.78 => ( V != X
% 0.55/0.78 | U != W
% 0.55/0.78 | ( ( ~ neq(V,nil)
% 0.55/0.78 | ~ neq(W,nil)
% 0.55/0.78 | ~ segmentP(X,W)
% 0.55/0.78 | ( neq(U,nil)
% 0.55/0.78 & segmentP(V,U) ) )
% 0.55/0.78 & ( ~ neq(V,nil)
% 0.55/0.78 | neq(X,nil) ) ) ) ) ) ) ) ).
% 0.55/0.78
% 0.55/0.78 %--------------------------------------------------------------------------
% 0.55/0.78 %-------------------------------------------
% 0.55/0.78 % Proof found
% 0.55/0.78 % SZS status Theorem for theBenchmark
% 0.55/0.78 % SZS output start Proof
% 0.55/0.78 %ClaNum:290(EqnAxiom:88)
% 0.55/0.78 %VarNum:1008(SingletonVarNum:327)
% 0.55/0.78 %MaxLitNum:10
% 0.55/0.78 %MaxfuncDepth:4
% 0.55/0.78 %SharedTerms:31
% 0.55/0.78 %goalClause: 89 90 94 95 96 97 105 173 174 221
% 0.55/0.78 %singleGoalClaCount:7
% 0.55/0.78 [89]E(a1,a2)
% 0.55/0.78 [90]E(a46,a48)
% 0.55/0.78 [91]P1(a3)
% 0.55/0.78 [92]P1(a16)
% 0.55/0.78 [93]P15(a49)
% 0.55/0.78 [94]P15(a2)
% 0.55/0.78 [95]P15(a46)
% 0.55/0.78 [96]P15(a1)
% 0.55/0.78 [97]P15(a48)
% 0.55/0.78 [98]P2(a49)
% 0.55/0.78 [99]P16(a49)
% 0.55/0.78 [100]P17(a49)
% 0.55/0.78 [101]P19(a49)
% 0.55/0.78 [102]P18(a49)
% 0.55/0.78 [103]P3(a49)
% 0.55/0.78 [104]P4(a49)
% 0.55/0.78 [105]P5(a46,a49)
% 0.55/0.78 [106]~E(a16,a3)
% 0.55/0.78 [107]~P12(a49)
% 0.55/0.78 [173]P5(a1,a49)+~P5(a48,a49)
% 0.55/0.78 [174]~P5(a48,a49)+P14(a48,a1)
% 0.55/0.78 [116]~P15(x1161)+P6(x1161,a49)
% 0.55/0.78 [117]~P15(x1171)+P13(x1171,a49)
% 0.55/0.78 [118]~P15(x1181)+P14(x1181,a49)
% 0.55/0.78 [122]~P15(x1221)+P6(x1221,x1221)
% 0.55/0.78 [123]~P15(x1231)+P13(x1231,x1231)
% 0.55/0.78 [124]~P15(x1241)+P14(x1241,x1241)
% 0.55/0.78 [125]~P1(x1251)+P7(x1251,x1251)
% 0.55/0.78 [126]~P1(x1261)+P8(x1261,x1261)
% 0.55/0.78 [168]~P1(x1681)+~P10(a49,x1681)
% 0.55/0.78 [175]~P11(x1751,x1751)+~P1(x1751)
% 0.55/0.78 [120]~P15(x1201)+E(f4(x1201,a49),x1201)
% 0.55/0.78 [121]~P15(x1211)+E(f4(a49,x1211),x1211)
% 0.55/0.78 [180]~P1(x1801)+P2(f6(x1801,a49))
% 0.55/0.78 [181]~P1(x1811)+P16(f6(x1811,a49))
% 0.55/0.78 [182]~P1(x1821)+P17(f6(x1821,a49))
% 0.55/0.78 [183]~P1(x1831)+P19(f6(x1831,a49))
% 0.55/0.78 [184]~P1(x1841)+P18(f6(x1841,a49))
% 0.55/0.78 [185]~P1(x1851)+P3(f6(x1851,a49))
% 0.55/0.78 [186]~P1(x1861)+P4(f6(x1861,a49))
% 0.55/0.78 [221]~P5(a48,a49)+~P5(a2,a49)+~P14(a46,a2)
% 0.55/0.78 [161]~P15(x1611)+~E(a49,x1611)+P6(a49,x1611)
% 0.55/0.78 [162]~P15(x1621)+~E(a49,x1621)+P13(a49,x1621)
% 0.55/0.78 [163]~P15(x1631)+~E(a49,x1631)+P14(a49,x1631)
% 0.55/0.78 [169]~P15(x1691)+~P6(a49,x1691)+E(a49,x1691)
% 0.55/0.78 [170]~P15(x1701)+~P13(a49,x1701)+E(a49,x1701)
% 0.55/0.78 [171]~P15(x1711)+~P14(a49,x1711)+E(a49,x1711)
% 0.55/0.78 [108]~P15(x1081)+E(f50(x1081),f27(x1081))+E(a49,x1081)
% 0.55/0.78 [109]~P15(x1091)+E(f56(x1091),f45(x1091))+E(a49,x1091)
% 0.55/0.78 [110]~P15(x1101)+E(a49,x1101)+P1(f50(x1101))
% 0.55/0.78 [111]~P15(x1111)+E(a49,x1111)+P1(f28(x1111))
% 0.55/0.78 [112]~P15(x1121)+E(a49,x1121)+P1(f27(x1121))
% 0.55/0.78 [113]~P15(x1131)+E(a49,x1131)+P15(f56(x1131))
% 0.55/0.78 [114]~P15(x1141)+E(a49,x1141)+P15(f29(x1141))
% 0.55/0.78 [115]~P15(x1151)+E(a49,x1151)+P15(f45(x1151))
% 0.55/0.78 [119]P3(x1191)+~P15(x1191)+E(f30(x1191),f36(x1191))
% 0.55/0.78 [127]~P15(x1271)+P2(x1271)+P1(f5(x1271))
% 0.55/0.78 [128]~P15(x1281)+P2(x1281)+P1(f7(x1281))
% 0.55/0.78 [129]~P15(x1291)+P2(x1291)+P15(f8(x1291))
% 0.55/0.78 [130]~P15(x1301)+P2(x1301)+P15(f9(x1301))
% 0.55/0.78 [131]~P15(x1311)+P2(x1311)+P15(f10(x1311))
% 0.55/0.78 [132]~P15(x1321)+P16(x1321)+P1(f11(x1321))
% 0.55/0.78 [133]~P15(x1331)+P16(x1331)+P1(f12(x1331))
% 0.55/0.78 [134]~P15(x1341)+P16(x1341)+P15(f13(x1341))
% 0.55/0.79 [135]~P15(x1351)+P16(x1351)+P15(f14(x1351))
% 0.55/0.79 [136]~P15(x1361)+P16(x1361)+P15(f15(x1361))
% 0.55/0.79 [137]~P15(x1371)+P17(x1371)+P1(f17(x1371))
% 0.55/0.79 [138]~P15(x1381)+P17(x1381)+P1(f18(x1381))
% 0.55/0.79 [139]~P15(x1391)+P17(x1391)+P15(f19(x1391))
% 0.55/0.79 [140]~P15(x1401)+P17(x1401)+P15(f20(x1401))
% 0.55/0.79 [141]~P15(x1411)+P17(x1411)+P15(f21(x1411))
% 0.55/0.79 [142]~P15(x1421)+P19(x1421)+P1(f22(x1421))
% 0.55/0.79 [143]~P15(x1431)+P19(x1431)+P1(f23(x1431))
% 0.55/0.79 [144]~P15(x1441)+P19(x1441)+P15(f24(x1441))
% 0.55/0.79 [145]~P15(x1451)+P19(x1451)+P15(f25(x1451))
% 0.55/0.79 [146]~P15(x1461)+P19(x1461)+P15(f26(x1461))
% 0.55/0.79 [147]~P15(x1471)+P18(x1471)+P1(f31(x1471))
% 0.55/0.79 [148]~P15(x1481)+P18(x1481)+P1(f32(x1481))
% 0.55/0.79 [149]~P15(x1491)+P18(x1491)+P15(f33(x1491))
% 0.55/0.79 [150]~P15(x1501)+P18(x1501)+P15(f34(x1501))
% 0.55/0.79 [151]~P15(x1511)+P18(x1511)+P15(f35(x1511))
% 0.55/0.79 [152]~P15(x1521)+P3(x1521)+P1(f30(x1521))
% 0.55/0.79 [153]~P15(x1531)+P3(x1531)+P1(f36(x1531))
% 0.55/0.79 [154]~P15(x1541)+P3(x1541)+P15(f37(x1541))
% 0.55/0.79 [155]~P15(x1551)+P3(x1551)+P15(f38(x1551))
% 0.55/0.79 [156]~P15(x1561)+P3(x1561)+P15(f39(x1561))
% 0.55/0.79 [157]~P15(x1571)+P4(x1571)+P1(f40(x1571))
% 0.55/0.79 [158]~P15(x1581)+P4(x1581)+P1(f42(x1581))
% 0.55/0.79 [159]~P15(x1591)+P4(x1591)+P15(f43(x1591))
% 0.55/0.79 [160]~P15(x1601)+P4(x1601)+P15(f44(x1601))
% 0.55/0.79 [166]~P15(x1661)+P4(x1661)+~E(f42(x1661),f40(x1661))
% 0.55/0.79 [167]~P15(x1671)+~P12(x1671)+P1(f51(x1671))
% 0.55/0.79 [191]~P15(x1911)+P2(x1911)+P7(f5(x1911),f7(x1911))
% 0.55/0.79 [192]~P15(x1921)+P2(x1921)+P7(f7(x1921),f5(x1921))
% 0.55/0.79 [213]~P15(x2131)+P16(x2131)+~P7(f11(x2131),f12(x2131))
% 0.55/0.79 [214]~P15(x2141)+P16(x2141)+~P7(f12(x2141),f11(x2141))
% 0.55/0.79 [215]~P15(x2151)+P17(x2151)+~P11(f17(x2151),f18(x2151))
% 0.55/0.79 [216]~P15(x2161)+P17(x2161)+~P11(f18(x2161),f17(x2161))
% 0.55/0.79 [217]~P15(x2171)+P19(x2171)+~P7(f22(x2171),f23(x2171))
% 0.55/0.79 [218]~P15(x2181)+P18(x2181)+~P11(f31(x2181),f32(x2181))
% 0.55/0.79 [179]~P15(x1791)+~P12(x1791)+E(f6(f51(x1791),a49),x1791)
% 0.55/0.79 [187]~P15(x1871)+E(a49,x1871)+E(f6(f50(x1871),f56(x1871)),x1871)
% 0.55/0.79 [188]~P15(x1881)+E(a49,x1881)+E(f6(f28(x1881),f29(x1881)),x1881)
% 0.55/0.79 [279]P2(x2791)+~P15(x2791)+E(f4(f4(f8(x2791),f6(f5(x2791),f9(x2791))),f6(f7(x2791),f10(x2791))),x2791)
% 0.55/0.79 [280]P16(x2801)+~P15(x2801)+E(f4(f4(f13(x2801),f6(f11(x2801),f14(x2801))),f6(f12(x2801),f15(x2801))),x2801)
% 0.55/0.79 [281]P17(x2811)+~P15(x2811)+E(f4(f4(f19(x2811),f6(f17(x2811),f20(x2811))),f6(f18(x2811),f21(x2811))),x2811)
% 0.55/0.79 [282]P19(x2821)+~P15(x2821)+E(f4(f4(f24(x2821),f6(f22(x2821),f25(x2821))),f6(f23(x2821),f26(x2821))),x2821)
% 0.55/0.79 [283]P18(x2831)+~P15(x2831)+E(f4(f4(f33(x2831),f6(f31(x2831),f34(x2831))),f6(f32(x2831),f35(x2831))),x2831)
% 0.55/0.79 [284]P3(x2841)+~P15(x2841)+E(f4(f4(f37(x2841),f6(f30(x2841),f38(x2841))),f6(f36(x2841),f39(x2841))),x2841)
% 0.55/0.79 [277]P4(x2771)+~P15(x2771)+E(f4(f43(x2771),f6(f40(x2771),f6(f42(x2771),f44(x2771)))),x2771)
% 0.55/0.79 [189]~P1(x1891)+~P15(x1892)+~E(f6(x1891,x1892),a49)
% 0.55/0.79 [190]~P1(x1901)+~P15(x1902)+~E(f6(x1901,x1902),x1902)
% 0.55/0.79 [199]~P1(x1991)+~P15(x1992)+P15(f6(x1991,x1992))
% 0.55/0.79 [200]~P15(x2002)+~P15(x2001)+P15(f4(x2001,x2002))
% 0.55/0.79 [201]~P1(x2011)+~P15(x2012)+E(f50(f6(x2011,x2012)),x2011)
% 0.55/0.79 [202]~P1(x2021)+~P15(x2022)+E(f56(f6(x2021,x2022)),x2022)
% 0.55/0.79 [231]~P1(x2311)+~P15(x2312)+E(f4(f6(x2311,a49),x2312),f6(x2311,x2312))
% 0.55/0.79 [176]P5(x1761,x1762)+~P1(x1762)+~P1(x1761)+E(x1761,x1762)
% 0.55/0.79 [177]P5(x1771,x1772)+~P15(x1772)+~P15(x1771)+E(x1771,x1772)
% 0.55/0.79 [196]~P1(x1962)+~P1(x1961)+~P5(x1961,x1962)+~E(x1961,x1962)
% 0.55/0.79 [197]~P1(x1972)+~P1(x1971)+~P11(x1971,x1972)+~E(x1971,x1972)
% 0.55/0.79 [198]~P15(x1982)+~P15(x1981)+~P5(x1981,x1982)+~E(x1981,x1982)
% 0.55/0.79 [208]~P1(x2081)+~P1(x2082)+~P8(x2082,x2081)+P7(x2081,x2082)
% 0.55/0.79 [209]~P1(x2092)+~P1(x2091)+~P11(x2091,x2092)+P7(x2091,x2092)
% 0.55/0.79 [210]~P1(x2101)+~P1(x2102)+~P9(x2102,x2101)+P11(x2101,x2102)
% 0.55/0.79 [211]~P1(x2111)+~P1(x2112)+~P7(x2112,x2111)+P8(x2111,x2112)
% 0.55/0.79 [212]~P1(x2121)+~P1(x2122)+~P11(x2122,x2121)+P9(x2121,x2122)
% 0.55/0.79 [222]~P11(x2221,x2222)+~P11(x2222,x2221)+~P1(x2221)+~P1(x2222)
% 0.55/0.79 [223]~P9(x2231,x2232)+~P9(x2232,x2231)+~P1(x2231)+~P1(x2232)
% 0.55/0.79 [193]~P15(x1932)+~P15(x1931)+E(a49,x1931)+~E(f4(x1932,x1931),a49)
% 0.55/0.79 [194]~P15(x1942)+~P15(x1941)+E(a49,x1941)+~E(f4(x1941,x1942),a49)
% 0.55/0.79 [195]~P1(x1952)+~P15(x1951)+P12(x1951)+~E(f6(x1952,a49),x1951)
% 0.55/0.79 [204]~P1(x2041)+~P15(x2042)+~E(a49,x2042)+P19(f6(x2041,x2042))
% 0.55/0.79 [205]~P1(x2051)+~P15(x2052)+~E(a49,x2052)+P18(f6(x2051,x2052))
% 0.55/0.79 [234]~P1(x2342)+~P15(x2341)+~P10(x2341,x2342)+P15(f41(x2341,x2342))
% 0.55/0.79 [235]~P1(x2352)+~P15(x2351)+~P10(x2351,x2352)+P15(f47(x2351,x2352))
% 0.55/0.79 [236]~P15(x2362)+~P15(x2361)+~P6(x2361,x2362)+P15(f52(x2361,x2362))
% 0.55/0.79 [237]~P15(x2372)+~P15(x2371)+~P13(x2371,x2372)+P15(f53(x2371,x2372))
% 0.55/0.79 [238]~P15(x2382)+~P15(x2381)+~P14(x2381,x2382)+P15(f54(x2381,x2382))
% 0.55/0.79 [239]~P15(x2392)+~P15(x2391)+~P14(x2391,x2392)+P15(f55(x2391,x2392))
% 0.55/0.79 [207]~P15(x2072)+~P15(x2071)+E(a49,x2071)+E(f50(f4(x2071,x2072)),f50(x2071))
% 0.55/0.79 [233]~P15(x2332)+~P15(x2331)+E(a49,x2331)+E(f56(f4(x2331,x2332)),f4(f56(x2331),x2332))
% 0.55/0.79 [246]~P15(x2462)+~P15(x2461)+~P6(x2462,x2461)+E(f4(x2461,f52(x2462,x2461)),x2462)
% 0.55/0.79 [247]~P15(x2472)+~P15(x2471)+~P13(x2471,x2472)+E(f4(f53(x2471,x2472),x2472),x2471)
% 0.55/0.79 [276]~P15(x2762)+~P15(x2761)+~P14(x2761,x2762)+E(f4(f4(f54(x2761,x2762),x2762),f55(x2761,x2762)),x2761)
% 0.55/0.79 [275]~P1(x2752)+~P15(x2751)+~P10(x2751,x2752)+E(f4(f41(x2751,x2752),f6(x2752,f47(x2751,x2752))),x2751)
% 0.55/0.79 [265]~P1(x2651)+~P15(x2652)+~P15(x2653)+E(f6(x2651,f4(x2652,x2653)),f4(f6(x2651,x2652),x2653))
% 0.55/0.79 [266]~P15(x2663)+~P15(x2662)+~P15(x2661)+E(f4(f4(x2661,x2662),x2663),f4(x2661,f4(x2662,x2663)))
% 0.55/0.79 [220]P11(x2201,x2202)+~P1(x2202)+~P1(x2201)+~P7(x2201,x2202)+E(x2201,x2202)
% 0.55/0.79 [226]~P1(x2262)+~P1(x2261)+~P7(x2262,x2261)+~P7(x2261,x2262)+E(x2261,x2262)
% 0.55/0.79 [227]~P1(x2272)+~P1(x2271)+~P8(x2272,x2271)+~P8(x2271,x2272)+E(x2271,x2272)
% 0.55/0.79 [228]~P15(x2282)+~P15(x2281)+~P6(x2282,x2281)+~P6(x2281,x2282)+E(x2281,x2282)
% 0.55/0.79 [229]~P15(x2292)+~P15(x2291)+~P13(x2292,x2291)+~P13(x2291,x2292)+E(x2291,x2292)
% 0.55/0.79 [230]~P15(x2302)+~P15(x2301)+~P14(x2302,x2301)+~P14(x2301,x2302)+E(x2301,x2302)
% 0.55/0.79 [178]~P15(x1781)+~P15(x1782)+~E(a49,x1781)+~E(a49,x1782)+E(f4(x1781,x1782),a49)
% 0.55/0.79 [242]P19(x2421)+~P15(x2421)+~P1(x2422)+E(a49,x2421)+~P19(f6(x2422,x2421))
% 0.55/0.79 [243]P18(x2431)+~P15(x2431)+~P1(x2432)+E(a49,x2431)+~P18(f6(x2432,x2431))
% 0.55/0.79 [256]~P1(x2562)+~P15(x2561)+E(a49,x2561)+P7(x2562,f50(x2561))+~P19(f6(x2562,x2561))
% 0.55/0.79 [257]~P1(x2572)+~P15(x2571)+E(a49,x2571)+P11(x2572,f50(x2571))+~P18(f6(x2572,x2571))
% 0.55/0.79 [224]~P15(x2241)+~P15(x2242)+~P15(x2243)+P6(x2241,x2242)+~E(f4(x2242,x2243),x2241)
% 0.55/0.79 [225]~P15(x2251)+~P15(x2252)+~P15(x2253)+P13(x2251,x2252)+~E(f4(x2253,x2252),x2251)
% 0.55/0.79 [232]~E(x2323,x2321)+~P1(x2321)+~P1(x2323)+~P15(x2322)+P10(f6(x2321,x2322),x2323)
% 0.55/0.79 [240]~P15(x2402)+~P15(x2403)+~P15(x2401)+E(x2401,x2402)+~E(f4(x2403,x2401),f4(x2403,x2402))
% 0.55/0.79 [241]~P15(x2412)+~P15(x2413)+~P15(x2411)+E(x2411,x2412)+~E(f4(x2411,x2413),f4(x2412,x2413))
% 0.55/0.79 [258]~P1(x2581)+~P1(x2583)+~P15(x2582)+~P10(x2582,x2583)+P10(f6(x2581,x2582),x2583)
% 0.55/0.79 [259]~P1(x2593)+~P15(x2591)+~P15(x2592)+~P10(x2592,x2593)+P10(f4(x2591,x2592),x2593)
% 0.55/0.79 [260]~P1(x2603)+~P15(x2602)+~P15(x2601)+~P10(x2601,x2603)+P10(f4(x2601,x2602),x2603)
% 0.55/0.79 [261]~P15(x2612)+~P15(x2613)+~P15(x2611)+~P6(x2611,x2613)+P6(f4(x2611,x2612),x2613)
% 0.55/0.79 [262]~P15(x2621)+~P15(x2623)+~P15(x2622)+~P13(x2622,x2623)+P13(f4(x2621,x2622),x2623)
% 0.55/0.79 [263]~P1(x2632)+~P15(x2631)+~P19(x2631)+~P7(x2632,f50(x2631))+E(a49,x2631)+P19(f6(x2632,x2631))
% 0.55/0.79 [264]~P1(x2642)+~P15(x2641)+~P18(x2641)+~P11(x2642,f50(x2641))+E(a49,x2641)+P18(f6(x2642,x2641))
% 0.55/0.79 [248]~P15(x2482)+~P15(x2481)+~P6(x2483,x2482)+~P6(x2481,x2483)+P6(x2481,x2482)+~P15(x2483)
% 0.55/0.79 [249]~P15(x2492)+~P15(x2491)+~P13(x2493,x2492)+~P13(x2491,x2493)+P13(x2491,x2492)+~P15(x2493)
% 0.55/0.79 [250]~P15(x2502)+~P15(x2501)+~P14(x2503,x2502)+~P14(x2501,x2503)+P14(x2501,x2502)+~P15(x2503)
% 0.55/0.79 [251]~P1(x2512)+~P1(x2511)+~P7(x2513,x2512)+~P7(x2511,x2513)+P7(x2511,x2512)+~P1(x2513)
% 0.55/0.79 [252]~P1(x2522)+~P1(x2521)+~P7(x2521,x2523)+~P11(x2523,x2522)+P11(x2521,x2522)+~P1(x2523)
% 0.55/0.79 [253]~P1(x2532)+~P1(x2531)+~P11(x2533,x2532)+~P11(x2531,x2533)+P11(x2531,x2532)+~P1(x2533)
% 0.55/0.79 [254]~P1(x2542)+~P1(x2541)+~P8(x2543,x2542)+~P8(x2541,x2543)+P8(x2541,x2542)+~P1(x2543)
% 0.55/0.79 [255]~P1(x2552)+~P1(x2551)+~P9(x2553,x2552)+~P9(x2551,x2553)+P9(x2551,x2552)+~P1(x2553)
% 0.55/0.79 [267]~P1(x2672)+~P1(x2671)+~P15(x2673)+E(x2671,x2672)+P10(x2673,x2672)+~P10(f6(x2671,x2673),x2672)
% 0.55/0.79 [270]~P1(x2702)+~P15(x2701)+~P15(x2703)+P10(x2701,x2702)+P10(x2703,x2702)+~P10(f4(x2703,x2701),x2702)
% 0.55/0.79 [244]~P1(x2444)+~P1(x2443)+~P15(x2442)+~P15(x2441)+E(x2441,x2442)+~E(f6(x2443,x2442),f6(x2444,x2441))
% 0.55/0.79 [245]~P1(x2452)+~P1(x2451)+~P15(x2454)+~P15(x2453)+E(x2451,x2452)+~E(f6(x2451,x2453),f6(x2452,x2454))
% 0.55/0.79 [272]~P1(x2722)+~P1(x2721)+E(x2721,x2722)+~P15(x2723)+~P15(x2724)+~P6(f6(x2721,x2724),f6(x2722,x2723))
% 0.55/0.79 [274]~P15(x2742)+~P15(x2741)+P6(x2741,x2742)+~P1(x2743)+~P1(x2744)+~P6(f6(x2744,x2741),f6(x2743,x2742))
% 0.55/0.79 [268]~P1(x2682)+~P15(x2681)+~P15(x2684)+~P15(x2683)+P10(x2681,x2682)+~E(f4(x2683,f6(x2682,x2684)),x2681)
% 0.55/0.79 [269]~P15(x2691)+~P15(x2692)+~P15(x2694)+~P15(x2693)+P14(x2691,x2692)+~E(f4(f4(x2693,x2692),x2694),x2691)
% 0.55/0.79 [273]~P15(x2733)+~P15(x2731)+~P15(x2734)+~P15(x2732)+~P14(x2732,x2734)+P14(f4(f4(x2731,x2732),x2733),x2734)
% 0.55/0.79 [203]~P15(x2032)+~P15(x2031)+E(x2031,x2032)+E(a49,x2032)+E(a49,x2031)+~E(f50(x2031),f50(x2032))+~E(f56(x2031),f56(x2032))
% 0.55/0.79 [271]~E(x2711,x2713)+~P1(x2713)+~P1(x2711)+~P15(x2714)+~P15(x2712)+~P6(x2712,x2714)+P6(f6(x2711,x2712),f6(x2713,x2714))
% 0.55/0.79 [278]~P1(x2782)+~P1(x2781)+~P15(x2784)+~P15(x2783)+~P15(x2785)+~P4(x2785)+E(x2781,x2782)+~E(f4(x2783,f6(x2781,f6(x2782,x2784))),x2785)
% 0.55/0.79 [285]~P1(x2852)+~P1(x2851)+~P15(x2855)+~P15(x2854)+~P15(x2853)+~P15(x2856)+~P3(x2856)+~E(x2851,x2852)+~E(f4(f4(x2853,f6(x2851,x2854)),f6(x2852,x2855)),x2856)
% 0.55/0.79 [286]~P1(x2862)+~P1(x2861)+~P15(x2865)+~P15(x2864)+~P15(x2863)+~P15(x2866)+~P19(x2866)+P7(x2861,x2862)+~E(f4(f4(x2863,f6(x2861,x2864)),f6(x2862,x2865)),x2866)
% 0.55/0.79 [287]~P1(x2872)+~P1(x2871)+~P15(x2875)+~P15(x2874)+~P15(x2873)+~P15(x2876)+~P18(x2876)+P11(x2871,x2872)+~E(f4(f4(x2873,f6(x2871,x2874)),f6(x2872,x2875)),x2876)
% 0.55/0.79 [288]P7(x2882,x2881)+~P1(x2881)+~P1(x2882)+~P15(x2885)+~P15(x2884)+~P15(x2883)+~P15(x2886)+~P16(x2886)+P7(x2881,x2882)+~E(f4(f4(x2883,f6(x2882,x2884)),f6(x2881,x2885)),x2886)
% 0.55/0.79 [289]P11(x2892,x2891)+~P1(x2891)+~P1(x2892)+~P15(x2895)+~P15(x2894)+~P15(x2893)+~P15(x2896)+~P17(x2896)+P11(x2891,x2892)+~E(f4(f4(x2893,f6(x2892,x2894)),f6(x2891,x2895)),x2896)
% 0.55/0.79 [290]~P1(x2904)+~P1(x2902)+~P15(x2905)+~P15(x2903)+~P15(x2901)+~P15(x2906)+~P2(x2906)+~P7(x2904,x2902)+~P7(x2902,x2904)+~E(f4(f4(x2901,f6(x2902,x2903)),f6(x2904,x2905)),x2906)
% 0.55/0.79 %EqnAxiom
% 0.55/0.79 [1]E(x11,x11)
% 0.55/0.79 [2]E(x22,x21)+~E(x21,x22)
% 0.55/0.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.55/0.79 [4]~E(x41,x42)+E(f50(x41),f50(x42))
% 0.55/0.79 [5]~E(x51,x52)+E(f27(x51),f27(x52))
% 0.55/0.79 [6]~E(x61,x62)+E(f56(x61),f56(x62))
% 0.55/0.79 [7]~E(x71,x72)+E(f45(x71),f45(x72))
% 0.55/0.79 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 0.55/0.79 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 0.55/0.79 [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 0.55/0.79 [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 0.55/0.79 [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 0.55/0.79 [13]~E(x131,x132)+E(f44(x131),f44(x132))
% 0.55/0.79 [14]~E(x141,x142)+E(f29(x141),f29(x142))
% 0.55/0.79 [15]~E(x151,x152)+E(f42(x151),f42(x152))
% 0.55/0.79 [16]~E(x161,x162)+E(f30(x161),f30(x162))
% 0.55/0.79 [17]~E(x171,x172)+E(f36(x171),f36(x172))
% 0.55/0.79 [18]~E(x181,x182)+E(f40(x181),f40(x182))
% 0.55/0.79 [19]~E(x191,x192)+E(f43(x191),f43(x192))
% 0.55/0.79 [20]~E(x201,x202)+E(f5(x201),f5(x202))
% 0.55/0.79 [21]~E(x211,x212)+E(f7(x211),f7(x212))
% 0.55/0.79 [22]~E(x221,x222)+E(f8(x221),f8(x222))
% 0.55/0.79 [23]~E(x231,x232)+E(f9(x231),f9(x232))
% 0.55/0.79 [24]~E(x241,x242)+E(f10(x241),f10(x242))
% 0.55/0.79 [25]~E(x251,x252)+E(f11(x251),f11(x252))
% 0.55/0.79 [26]~E(x261,x262)+E(f12(x261),f12(x262))
% 0.55/0.79 [27]~E(x271,x272)+E(f13(x271),f13(x272))
% 0.55/0.79 [28]~E(x281,x282)+E(f14(x281),f14(x282))
% 0.55/0.79 [29]~E(x291,x292)+E(f15(x291),f15(x292))
% 0.55/0.79 [30]~E(x301,x302)+E(f17(x301),f17(x302))
% 0.55/0.79 [31]~E(x311,x312)+E(f18(x311),f18(x312))
% 0.55/0.79 [32]~E(x321,x322)+E(f19(x321),f19(x322))
% 0.55/0.79 [33]~E(x331,x332)+E(f20(x331),f20(x332))
% 0.55/0.79 [34]~E(x341,x342)+E(f21(x341),f21(x342))
% 0.55/0.79 [35]~E(x351,x352)+E(f22(x351),f22(x352))
% 0.55/0.79 [36]~E(x361,x362)+E(f23(x361),f23(x362))
% 0.55/0.79 [37]~E(x371,x372)+E(f24(x371),f24(x372))
% 0.55/0.79 [38]~E(x381,x382)+E(f25(x381),f25(x382))
% 0.55/0.79 [39]~E(x391,x392)+E(f26(x391),f26(x392))
% 0.55/0.79 [40]~E(x401,x402)+E(f31(x401),f31(x402))
% 0.55/0.79 [41]~E(x411,x412)+E(f32(x411),f32(x412))
% 0.55/0.79 [42]~E(x421,x422)+E(f33(x421),f33(x422))
% 0.55/0.79 [43]~E(x431,x432)+E(f34(x431),f34(x432))
% 0.55/0.79 [44]~E(x441,x442)+E(f35(x441),f35(x442))
% 0.55/0.79 [45]~E(x451,x452)+E(f53(x451,x453),f53(x452,x453))
% 0.55/0.79 [46]~E(x461,x462)+E(f53(x463,x461),f53(x463,x462))
% 0.55/0.79 [47]~E(x471,x472)+E(f37(x471),f37(x472))
% 0.55/0.79 [48]~E(x481,x482)+E(f41(x481,x483),f41(x482,x483))
% 0.55/0.79 [49]~E(x491,x492)+E(f41(x493,x491),f41(x493,x492))
% 0.55/0.79 [50]~E(x501,x502)+E(f38(x501),f38(x502))
% 0.55/0.79 [51]~E(x511,x512)+E(f39(x511),f39(x512))
% 0.55/0.79 [52]~E(x521,x522)+E(f54(x521,x523),f54(x522,x523))
% 0.55/0.79 [53]~E(x531,x532)+E(f54(x533,x531),f54(x533,x532))
% 0.55/0.79 [54]~E(x541,x542)+E(f47(x541,x543),f47(x542,x543))
% 0.55/0.79 [55]~E(x551,x552)+E(f47(x553,x551),f47(x553,x552))
% 0.55/0.79 [56]~E(x561,x562)+E(f55(x561,x563),f55(x562,x563))
% 0.55/0.79 [57]~E(x571,x572)+E(f55(x573,x571),f55(x573,x572))
% 0.55/0.79 [58]~E(x581,x582)+E(f52(x581,x583),f52(x582,x583))
% 0.55/0.79 [59]~E(x591,x592)+E(f52(x593,x591),f52(x593,x592))
% 0.55/0.79 [60]~E(x601,x602)+E(f51(x601),f51(x602))
% 0.55/0.79 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 0.55/0.79 [62]P7(x622,x623)+~E(x621,x622)+~P7(x621,x623)
% 0.55/0.79 [63]P7(x633,x632)+~E(x631,x632)+~P7(x633,x631)
% 0.55/0.79 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 0.55/0.79 [65]P10(x652,x653)+~E(x651,x652)+~P10(x651,x653)
% 0.55/0.79 [66]P10(x663,x662)+~E(x661,x662)+~P10(x663,x661)
% 0.55/0.79 [67]~P2(x671)+P2(x672)+~E(x671,x672)
% 0.55/0.79 [68]~P19(x681)+P19(x682)+~E(x681,x682)
% 0.55/0.79 [69]~P3(x691)+P3(x692)+~E(x691,x692)
% 0.55/0.79 [70]~P17(x701)+P17(x702)+~E(x701,x702)
% 0.55/0.79 [71]~P16(x711)+P16(x712)+~E(x711,x712)
% 0.55/0.79 [72]P8(x722,x723)+~E(x721,x722)+~P8(x721,x723)
% 0.55/0.79 [73]P8(x733,x732)+~E(x731,x732)+~P8(x733,x731)
% 0.55/0.79 [74]P14(x742,x743)+~E(x741,x742)+~P14(x741,x743)
% 0.55/0.79 [75]P14(x753,x752)+~E(x751,x752)+~P14(x753,x751)
% 0.55/0.79 [76]~P18(x761)+P18(x762)+~E(x761,x762)
% 0.55/0.79 [77]P13(x772,x773)+~E(x771,x772)+~P13(x771,x773)
% 0.55/0.79 [78]P13(x783,x782)+~E(x781,x782)+~P13(x783,x781)
% 0.55/0.79 [79]~P4(x791)+P4(x792)+~E(x791,x792)
% 0.55/0.79 [80]P5(x802,x803)+~E(x801,x802)+~P5(x801,x803)
% 0.55/0.79 [81]P5(x813,x812)+~E(x811,x812)+~P5(x813,x811)
% 0.55/0.79 [82]~P12(x821)+P12(x822)+~E(x821,x822)
% 0.55/0.79 [83]P11(x832,x833)+~E(x831,x832)+~P11(x831,x833)
% 0.55/0.79 [84]P11(x843,x842)+~E(x841,x842)+~P11(x843,x841)
% 0.55/0.79 [85]P6(x852,x853)+~E(x851,x852)+~P6(x851,x853)
% 0.55/0.79 [86]P6(x863,x862)+~E(x861,x862)+~P6(x863,x861)
% 0.55/0.79 [87]P9(x872,x873)+~E(x871,x872)+~P9(x871,x873)
% 0.55/0.79 [88]P9(x883,x882)+~E(x881,x882)+~P9(x883,x881)
% 0.55/0.79
% 0.55/0.79 %-------------------------------------------
% 0.55/0.79 cnf(295,plain,
% 0.55/0.79 (~P5(x2951,x2951)+~P1(x2951)+~P1(x2951)),
% 0.55/0.79 inference(equality_inference,[],[196])).
% 0.55/0.79 cnf(297,plain,
% 0.55/0.79 (~P5(x2971,x2971)+~P15(x2971)+~P15(x2971)),
% 0.55/0.79 inference(equality_inference,[],[198])).
% 0.55/0.79 cnf(323,plain,
% 0.55/0.79 (P5(a48,a49)),
% 0.55/0.79 inference(scs_inference,[],[89,90,94,105,91,2,175,295,297,80])).
% 0.55/0.79 cnf(330,plain,
% 0.55/0.79 (P5(a1,a49)),
% 0.55/0.79 inference(scs_inference,[],[323,173])).
% 0.55/0.79 cnf(331,plain,
% 0.55/0.79 (P14(a48,a1)),
% 0.55/0.79 inference(scs_inference,[],[323,174])).
% 0.55/0.79 cnf(332,plain,
% 0.55/0.79 (~P5(a2,a49)+~P14(a46,a2)),
% 0.55/0.79 inference(scs_inference,[],[323,221])).
% 0.55/0.79 cnf(335,plain,
% 0.55/0.79 (E(a48,a46)),
% 0.55/0.79 inference(scs_inference,[],[90,92,175,2])).
% 0.55/0.79 cnf(336,plain,
% 0.55/0.79 (~P5(a1,a1)),
% 0.55/0.79 inference(scs_inference,[],[90,96,92,175,2,297])).
% 0.55/0.79 cnf(349,plain,
% 0.55/0.79 (P14(a46,a1)),
% 0.55/0.79 inference(scs_inference,[],[331,335,74])).
% 0.55/0.79 cnf(357,plain,
% 0.55/0.79 (~P14(a46,a2)),
% 0.55/0.79 inference(scs_inference,[],[89,330,331,95,96,335,336,93,74,75,80,81,297,198,332])).
% 0.55/0.79 cnf(367,plain,
% 0.55/0.79 ($false),
% 0.55/0.79 inference(scs_inference,[],[89,357,349,75]),
% 0.55/0.79 ['proof']).
% 0.55/0.80 % SZS output end Proof
% 0.55/0.80 % Total time :0.060000s
%------------------------------------------------------------------------------