%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC001+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/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 16:13:31 EDT 2024
% Result : Theorem 7.70s 7.78s
% Output : CNFRefutation 7.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC001+1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 03:44:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 7.70/7.77 %-------------------------------------------
% 7.70/7.77 % File :CSE---1.7
% 7.70/7.77 % Problem :theBenchmark
% 7.70/7.77 % Transform :cnf
% 7.70/7.77 % Format :tptp:raw
% 7.70/7.77 % Command :java -jar mcs_scs.jar %d %s
% 7.70/7.77
% 7.70/7.77 % Result :Theorem 7.090000s
% 7.70/7.77 % Output :CNFRefutation 7.090000s
% 7.70/7.77 %-------------------------------------------
% 7.70/7.78 %--------------------------------------------------------------------------
% 7.70/7.78 % File : SWC001+1 : TPTP v8.2.0. Released v2.4.0.
% 7.70/7.78 % Domain : Software Creation
% 7.70/7.78 % Problem : cond_as_set_x_as_set
% 7.70/7.78 % Version : [Wei00] axioms.
% 7.70/7.78 % English : Find components in a software library that match a given target
% 7.70/7.78 % specification given in first-order logic. The components are
% 7.70/7.78 % specified in first-order logic as well. The problem represents
% 7.70/7.78 % a test of one library module specification against a target
% 7.70/7.78 % specification.
% 7.70/7.78
% 7.70/7.78 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 7.70/7.78 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 7.70/7.78 % Source : [Wei00]
% 7.70/7.78 % Names : cond_as_set_x_as_set [Wei00]
% 7.70/7.78
% 7.70/7.78 % Status : Theorem
% 7.70/7.78 % Rating : 0.31 v8.2.0, 0.25 v7.5.0, 0.28 v7.4.0, 0.20 v7.3.0, 0.21 v7.2.0, 0.17 v7.1.0, 0.26 v7.0.0, 0.20 v6.4.0, 0.23 v6.3.0, 0.25 v6.2.0, 0.32 v6.1.0, 0.33 v6.0.0, 0.22 v5.5.0, 0.30 v5.4.0, 0.36 v5.3.0, 0.37 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.21 v4.1.0, 0.22 v4.0.1, 0.30 v4.0.0, 0.29 v3.7.0, 0.25 v3.5.0, 0.21 v3.4.0, 0.32 v3.3.0, 0.21 v3.2.0, 0.09 v3.1.0, 0.22 v2.7.0, 0.33 v2.5.0, 0.17 v2.4.0
% 7.70/7.78 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 7.70/7.78 % Number of atoms : 412 ( 73 equ)
% 7.70/7.78 % Maximal formula atoms : 18 ( 4 avg)
% 7.70/7.78 % Number of connectives : 347 ( 31 ~; 14 |; 44 &)
% 7.70/7.78 % ( 26 <=>; 232 =>; 0 <=; 0 <~>)
% 7.70/7.78 % Maximal formula depth : 19 ( 7 avg)
% 7.70/7.78 % Maximal term depth : 4 ( 1 avg)
% 7.70/7.78 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 7.70/7.78 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 7.70/7.78 % Number of variables : 209 ( 195 !; 14 ?)
% 7.70/7.78 % SPC : FOF_THM_RFO_SEQ
% 7.70/7.78
% 7.70/7.78 % Comments :
% 7.70/7.78 %--------------------------------------------------------------------------
% 7.70/7.78 %----Include list specification axioms
% 7.70/7.78 include('Axioms/SWC001+0.ax').
% 7.70/7.78 %--------------------------------------------------------------------------
% 7.70/7.78 fof(co1,conjecture,
% 7.70/7.78 ! [U] :
% 7.70/7.78 ( ssList(U)
% 7.70/7.78 => ! [V] :
% 7.70/7.78 ( ssList(V)
% 7.70/7.78 => ! [W] :
% 7.70/7.78 ( ssList(W)
% 7.70/7.78 => ! [X] :
% 7.70/7.78 ( ssList(X)
% 7.70/7.78 => ( V != X
% 7.70/7.78 | U != W
% 7.70/7.78 | ~ duplicatefreeP(W)
% 7.70/7.78 | ? [Y] :
% 7.70/7.78 ( ssItem(Y)
% 7.70/7.78 & ( ( ~ memberP(X,Y)
% 7.70/7.78 & memberP(W,Y) )
% 7.70/7.78 | ( ~ memberP(W,Y)
% 7.70/7.78 & memberP(X,Y) ) ) )
% 7.70/7.78 | ( ! [Z] :
% 7.70/7.78 ( ssItem(Z)
% 7.70/7.78 => ( ( ~ memberP(V,Z)
% 7.70/7.78 & ~ memberP(U,Z) )
% 7.70/7.78 | ( memberP(V,Z)
% 7.70/7.78 & memberP(U,Z) ) ) )
% 7.70/7.78 & duplicatefreeP(U) ) ) ) ) ) ) ).
% 7.70/7.78
% 7.70/7.78 %--------------------------------------------------------------------------
% 7.70/7.78 %-------------------------------------------
% 7.70/7.78 % Proof found
% 7.70/7.78 % SZS status Theorem for theBenchmark
% 7.70/7.78 % SZS output start Proof
% 7.70/7.78 %ClaNum:288(EqnAxiom:88)
% 7.70/7.78 %VarNum:1014(SingletonVarNum:329)
% 7.70/7.78 %MaxLitNum:10
% 7.70/7.78 %MaxfuncDepth:4
% 7.70/7.78 %SharedTerms:33
% 7.70/7.78 %goalClause: 89 90 94 95 96 97 104 108 168 192 193 195
% 7.70/7.78 %singleGoalClaCount:7
% 7.70/7.78 [89]E(a1,a2)
% 7.70/7.78 [90]E(a46,a48)
% 7.70/7.78 [91]P1(a3)
% 7.70/7.78 [92]P1(a16)
% 7.70/7.78 [93]P15(a49)
% 7.70/7.78 [94]P15(a2)
% 7.70/7.78 [95]P15(a46)
% 7.70/7.78 [96]P15(a1)
% 7.70/7.78 [97]P15(a48)
% 7.70/7.78 [98]P2(a49)
% 7.70/7.78 [99]P16(a49)
% 7.70/7.78 [100]P17(a49)
% 7.70/7.78 [101]P19(a49)
% 7.70/7.78 [102]P18(a49)
% 7.70/7.78 [103]P3(a49)
% 7.70/7.78 [104]P3(a1)
% 7.70/7.78 [105]P4(a49)
% 7.70/7.78 [106]~E(a16,a3)
% 7.70/7.78 [107]~P5(a49)
% 7.70/7.78 [108]P1(a50)+~P3(a2)
% 7.70/7.78 [117]~P15(x1171)+P6(x1171,a49)
% 7.70/7.78 [118]~P15(x1181)+P7(x1181,a49)
% 7.70/7.78 [119]~P15(x1191)+P14(x1191,a49)
% 7.70/7.78 [123]~P15(x1231)+P6(x1231,x1231)
% 7.70/7.78 [124]~P15(x1241)+P7(x1241,x1241)
% 7.70/7.78 [125]~P15(x1251)+P14(x1251,x1251)
% 7.70/7.78 [126]~P1(x1261)+P8(x1261,x1261)
% 7.70/7.78 [127]~P1(x1271)+P9(x1271,x1271)
% 7.70/7.78 [167]~P1(x1671)+~P11(a49,x1671)
% 7.70/7.78 [172]~P12(x1721,x1721)+~P1(x1721)
% 7.70/7.78 [121]~P15(x1211)+E(f4(x1211,a49),x1211)
% 7.70/7.78 [122]~P15(x1221)+E(f4(a49,x1221),x1221)
% 7.70/7.78 [177]~P1(x1771)+P2(f6(x1771,a49))
% 7.70/7.78 [178]~P1(x1781)+P16(f6(x1781,a49))
% 7.70/7.78 [179]~P1(x1791)+P17(f6(x1791,a49))
% 7.70/7.78 [180]~P1(x1801)+P19(f6(x1801,a49))
% 7.70/7.78 [181]~P1(x1811)+P18(f6(x1811,a49))
% 7.70/7.78 [182]~P1(x1821)+P3(f6(x1821,a49))
% 7.70/7.78 [183]~P1(x1831)+P4(f6(x1831,a49))
% 7.70/7.78 [168]P11(a2,a50)+P11(a46,a50)+~P3(a2)
% 7.70/7.78 [195]~P3(a2)+~P11(a2,a50)+~P11(a46,a50)
% 7.70/7.78 [162]~P15(x1621)+~E(a49,x1621)+P6(a49,x1621)
% 7.70/7.78 [163]~P15(x1631)+~E(a49,x1631)+P7(a49,x1631)
% 7.70/7.78 [164]~P15(x1641)+~E(a49,x1641)+P14(a49,x1641)
% 7.70/7.78 [169]~P15(x1691)+~P6(a49,x1691)+E(a49,x1691)
% 7.70/7.78 [170]~P15(x1701)+~P7(a49,x1701)+E(a49,x1701)
% 7.70/7.78 [171]~P15(x1711)+~P14(a49,x1711)+E(a49,x1711)
% 7.70/7.78 [192]~P1(x1921)+~P11(a48,x1921)+P11(a1,x1921)
% 7.70/7.78 [193]~P1(x1931)+~P11(a1,x1931)+P11(a48,x1931)
% 7.70/7.78 [109]~P15(x1091)+E(f51(x1091),f27(x1091))+E(a49,x1091)
% 7.70/7.78 [110]~P15(x1101)+E(f57(x1101),f45(x1101))+E(a49,x1101)
% 7.70/7.79 [111]~P15(x1111)+E(a49,x1111)+P1(f51(x1111))
% 7.70/7.79 [112]~P15(x1121)+E(a49,x1121)+P1(f28(x1121))
% 7.70/7.79 [113]~P15(x1131)+E(a49,x1131)+P1(f27(x1131))
% 7.70/7.79 [114]~P15(x1141)+E(a49,x1141)+P15(f57(x1141))
% 7.70/7.79 [115]~P15(x1151)+E(a49,x1151)+P15(f29(x1151))
% 7.70/7.79 [116]~P15(x1161)+E(a49,x1161)+P15(f45(x1161))
% 7.70/7.79 [120]P3(x1201)+~P15(x1201)+E(f30(x1201),f36(x1201))
% 7.70/7.79 [128]~P15(x1281)+P2(x1281)+P1(f5(x1281))
% 7.70/7.79 [129]~P15(x1291)+P2(x1291)+P1(f7(x1291))
% 7.70/7.79 [130]~P15(x1301)+P2(x1301)+P15(f8(x1301))
% 7.70/7.79 [131]~P15(x1311)+P2(x1311)+P15(f9(x1311))
% 7.70/7.79 [132]~P15(x1321)+P2(x1321)+P15(f10(x1321))
% 7.70/7.79 [133]~P15(x1331)+P16(x1331)+P1(f11(x1331))
% 7.70/7.79 [134]~P15(x1341)+P16(x1341)+P1(f12(x1341))
% 7.70/7.79 [135]~P15(x1351)+P16(x1351)+P15(f13(x1351))
% 7.70/7.79 [136]~P15(x1361)+P16(x1361)+P15(f14(x1361))
% 7.70/7.79 [137]~P15(x1371)+P16(x1371)+P15(f15(x1371))
% 7.70/7.79 [138]~P15(x1381)+P17(x1381)+P1(f17(x1381))
% 7.70/7.79 [139]~P15(x1391)+P17(x1391)+P1(f18(x1391))
% 7.70/7.79 [140]~P15(x1401)+P17(x1401)+P15(f19(x1401))
% 7.70/7.79 [141]~P15(x1411)+P17(x1411)+P15(f20(x1411))
% 7.70/7.79 [142]~P15(x1421)+P17(x1421)+P15(f21(x1421))
% 7.70/7.79 [143]~P15(x1431)+P19(x1431)+P1(f22(x1431))
% 7.70/7.79 [144]~P15(x1441)+P19(x1441)+P1(f23(x1441))
% 7.70/7.79 [145]~P15(x1451)+P19(x1451)+P15(f24(x1451))
% 7.70/7.79 [146]~P15(x1461)+P19(x1461)+P15(f25(x1461))
% 7.70/7.79 [147]~P15(x1471)+P19(x1471)+P15(f26(x1471))
% 7.70/7.79 [148]~P15(x1481)+P18(x1481)+P1(f31(x1481))
% 7.70/7.79 [149]~P15(x1491)+P18(x1491)+P1(f32(x1491))
% 7.70/7.79 [150]~P15(x1501)+P18(x1501)+P15(f33(x1501))
% 7.70/7.79 [151]~P15(x1511)+P18(x1511)+P15(f34(x1511))
% 7.70/7.79 [152]~P15(x1521)+P18(x1521)+P15(f35(x1521))
% 7.70/7.79 [153]~P15(x1531)+P3(x1531)+P1(f30(x1531))
% 7.70/7.79 [154]~P15(x1541)+P3(x1541)+P1(f36(x1541))
% 7.70/7.79 [155]~P15(x1551)+P3(x1551)+P15(f37(x1551))
% 7.70/7.79 [156]~P15(x1561)+P3(x1561)+P15(f38(x1561))
% 7.70/7.79 [157]~P15(x1571)+P3(x1571)+P15(f39(x1571))
% 7.70/7.79 [158]~P15(x1581)+P4(x1581)+P1(f40(x1581))
% 7.70/7.79 [159]~P15(x1591)+P4(x1591)+P1(f42(x1591))
% 7.70/7.79 [160]~P15(x1601)+P4(x1601)+P15(f43(x1601))
% 7.70/7.79 [161]~P15(x1611)+P4(x1611)+P15(f44(x1611))
% 7.70/7.79 [165]~P15(x1651)+P4(x1651)+~E(f42(x1651),f40(x1651))
% 7.70/7.79 [166]~P15(x1661)+~P5(x1661)+P1(f52(x1661))
% 7.70/7.79 [188]~P15(x1881)+P2(x1881)+P8(f5(x1881),f7(x1881))
% 7.70/7.79 [189]~P15(x1891)+P2(x1891)+P8(f7(x1891),f5(x1891))
% 7.70/7.79 [212]~P15(x2121)+P16(x2121)+~P8(f11(x2121),f12(x2121))
% 7.70/7.79 [213]~P15(x2131)+P16(x2131)+~P8(f12(x2131),f11(x2131))
% 7.70/7.79 [214]~P15(x2141)+P17(x2141)+~P12(f17(x2141),f18(x2141))
% 7.70/7.79 [215]~P15(x2151)+P17(x2151)+~P12(f18(x2151),f17(x2151))
% 7.70/7.79 [216]~P15(x2161)+P19(x2161)+~P8(f22(x2161),f23(x2161))
% 7.70/7.79 [217]~P15(x2171)+P18(x2171)+~P12(f31(x2171),f32(x2171))
% 7.70/7.79 [176]~P15(x1761)+~P5(x1761)+E(f6(f52(x1761),a49),x1761)
% 7.70/7.79 [184]~P15(x1841)+E(a49,x1841)+E(f6(f51(x1841),f57(x1841)),x1841)
% 7.70/7.79 [185]~P15(x1851)+E(a49,x1851)+E(f6(f28(x1851),f29(x1851)),x1851)
% 7.70/7.79 [277]P2(x2771)+~P15(x2771)+E(f4(f4(f8(x2771),f6(f5(x2771),f9(x2771))),f6(f7(x2771),f10(x2771))),x2771)
% 7.70/7.79 [278]P16(x2781)+~P15(x2781)+E(f4(f4(f13(x2781),f6(f11(x2781),f14(x2781))),f6(f12(x2781),f15(x2781))),x2781)
% 7.70/7.79 [279]P17(x2791)+~P15(x2791)+E(f4(f4(f19(x2791),f6(f17(x2791),f20(x2791))),f6(f18(x2791),f21(x2791))),x2791)
% 7.70/7.79 [280]P19(x2801)+~P15(x2801)+E(f4(f4(f24(x2801),f6(f22(x2801),f25(x2801))),f6(f23(x2801),f26(x2801))),x2801)
% 7.70/7.79 [281]P18(x2811)+~P15(x2811)+E(f4(f4(f33(x2811),f6(f31(x2811),f34(x2811))),f6(f32(x2811),f35(x2811))),x2811)
% 7.70/7.79 [282]P3(x2821)+~P15(x2821)+E(f4(f4(f37(x2821),f6(f30(x2821),f38(x2821))),f6(f36(x2821),f39(x2821))),x2821)
% 7.70/7.79 [275]P4(x2751)+~P15(x2751)+E(f4(f43(x2751),f6(f40(x2751),f6(f42(x2751),f44(x2751)))),x2751)
% 7.70/7.79 [186]~P1(x1861)+~P15(x1862)+~E(f6(x1861,x1862),a49)
% 7.70/7.79 [187]~P1(x1871)+~P15(x1872)+~E(f6(x1871,x1872),x1872)
% 7.70/7.79 [199]~P1(x1991)+~P15(x1992)+P15(f6(x1991,x1992))
% 7.70/7.79 [200]~P15(x2002)+~P15(x2001)+P15(f4(x2001,x2002))
% 7.70/7.79 [201]~P1(x2011)+~P15(x2012)+E(f51(f6(x2011,x2012)),x2011)
% 7.70/7.79 [202]~P1(x2021)+~P15(x2022)+E(f57(f6(x2021,x2022)),x2022)
% 7.70/7.79 [229]~P1(x2291)+~P15(x2292)+E(f4(f6(x2291,a49),x2292),f6(x2291,x2292))
% 7.70/7.79 [173]P13(x1731,x1732)+~P1(x1732)+~P1(x1731)+E(x1731,x1732)
% 7.70/7.79 [174]P13(x1741,x1742)+~P15(x1742)+~P15(x1741)+E(x1741,x1742)
% 7.70/7.79 [196]~P1(x1962)+~P1(x1961)+~P13(x1961,x1962)+~E(x1961,x1962)
% 7.70/7.79 [197]~P1(x1972)+~P1(x1971)+~P12(x1971,x1972)+~E(x1971,x1972)
% 7.70/7.79 [198]~P15(x1982)+~P15(x1981)+~P13(x1981,x1982)+~E(x1981,x1982)
% 7.70/7.79 [207]~P1(x2071)+~P1(x2072)+~P9(x2072,x2071)+P8(x2071,x2072)
% 7.70/7.79 [208]~P1(x2082)+~P1(x2081)+~P12(x2081,x2082)+P8(x2081,x2082)
% 7.70/7.79 [209]~P1(x2091)+~P1(x2092)+~P10(x2092,x2091)+P12(x2091,x2092)
% 7.70/7.79 [210]~P1(x2101)+~P1(x2102)+~P8(x2102,x2101)+P9(x2101,x2102)
% 7.70/7.79 [211]~P1(x2111)+~P1(x2112)+~P12(x2112,x2111)+P10(x2111,x2112)
% 7.70/7.79 [220]~P12(x2201,x2202)+~P12(x2202,x2201)+~P1(x2201)+~P1(x2202)
% 7.70/7.79 [221]~P10(x2211,x2212)+~P10(x2212,x2211)+~P1(x2211)+~P1(x2212)
% 7.70/7.79 [190]~P15(x1902)+~P15(x1901)+E(a49,x1901)+~E(f4(x1902,x1901),a49)
% 7.70/7.79 [191]~P15(x1912)+~P15(x1911)+E(a49,x1911)+~E(f4(x1911,x1912),a49)
% 7.70/7.79 [194]~P1(x1942)+~P15(x1941)+P5(x1941)+~E(f6(x1942,a49),x1941)
% 7.70/7.79 [204]~P1(x2041)+~P15(x2042)+~E(a49,x2042)+P19(f6(x2041,x2042))
% 7.70/7.79 [205]~P1(x2051)+~P15(x2052)+~E(a49,x2052)+P18(f6(x2051,x2052))
% 7.70/7.79 [232]~P1(x2322)+~P15(x2321)+~P11(x2321,x2322)+P15(f41(x2321,x2322))
% 7.70/7.79 [233]~P1(x2332)+~P15(x2331)+~P11(x2331,x2332)+P15(f47(x2331,x2332))
% 7.70/7.79 [234]~P15(x2342)+~P15(x2341)+~P6(x2341,x2342)+P15(f53(x2341,x2342))
% 7.70/7.79 [235]~P15(x2352)+~P15(x2351)+~P7(x2351,x2352)+P15(f54(x2351,x2352))
% 7.70/7.79 [236]~P15(x2362)+~P15(x2361)+~P14(x2361,x2362)+P15(f55(x2361,x2362))
% 7.70/7.79 [237]~P15(x2372)+~P15(x2371)+~P14(x2371,x2372)+P15(f56(x2371,x2372))
% 7.70/7.79 [206]~P15(x2062)+~P15(x2061)+E(a49,x2061)+E(f51(f4(x2061,x2062)),f51(x2061))
% 7.70/7.79 [231]~P15(x2312)+~P15(x2311)+E(a49,x2311)+E(f57(f4(x2311,x2312)),f4(f57(x2311),x2312))
% 7.70/7.79 [244]~P15(x2442)+~P15(x2441)+~P6(x2442,x2441)+E(f4(x2441,f53(x2442,x2441)),x2442)
% 7.70/7.79 [245]~P15(x2452)+~P15(x2451)+~P7(x2451,x2452)+E(f4(f54(x2451,x2452),x2452),x2451)
% 7.70/7.79 [274]~P15(x2742)+~P15(x2741)+~P14(x2741,x2742)+E(f4(f4(f55(x2741,x2742),x2742),f56(x2741,x2742)),x2741)
% 7.70/7.79 [273]~P1(x2732)+~P15(x2731)+~P11(x2731,x2732)+E(f4(f41(x2731,x2732),f6(x2732,f47(x2731,x2732))),x2731)
% 7.70/7.79 [263]~P1(x2631)+~P15(x2632)+~P15(x2633)+E(f6(x2631,f4(x2632,x2633)),f4(f6(x2631,x2632),x2633))
% 7.70/7.79 [264]~P15(x2643)+~P15(x2642)+~P15(x2641)+E(f4(f4(x2641,x2642),x2643),f4(x2641,f4(x2642,x2643)))
% 7.70/7.79 [219]P12(x2191,x2192)+~P1(x2192)+~P1(x2191)+~P8(x2191,x2192)+E(x2191,x2192)
% 7.70/7.79 [224]~P1(x2242)+~P1(x2241)+~P8(x2242,x2241)+~P8(x2241,x2242)+E(x2241,x2242)
% 7.70/7.79 [225]~P1(x2252)+~P1(x2251)+~P9(x2252,x2251)+~P9(x2251,x2252)+E(x2251,x2252)
% 7.70/7.79 [226]~P15(x2262)+~P15(x2261)+~P6(x2262,x2261)+~P6(x2261,x2262)+E(x2261,x2262)
% 7.70/7.79 [227]~P15(x2272)+~P15(x2271)+~P7(x2272,x2271)+~P7(x2271,x2272)+E(x2271,x2272)
% 7.70/7.79 [228]~P15(x2282)+~P15(x2281)+~P14(x2282,x2281)+~P14(x2281,x2282)+E(x2281,x2282)
% 7.70/7.79 [175]~P15(x1751)+~P15(x1752)+~E(a49,x1751)+~E(a49,x1752)+E(f4(x1751,x1752),a49)
% 7.70/7.79 [240]P19(x2401)+~P15(x2401)+~P1(x2402)+E(a49,x2401)+~P19(f6(x2402,x2401))
% 7.70/7.79 [241]P18(x2411)+~P15(x2411)+~P1(x2412)+E(a49,x2411)+~P18(f6(x2412,x2411))
% 7.70/7.79 [254]~P1(x2542)+~P15(x2541)+E(a49,x2541)+P8(x2542,f51(x2541))+~P19(f6(x2542,x2541))
% 7.70/7.79 [255]~P1(x2552)+~P15(x2551)+E(a49,x2551)+P12(x2552,f51(x2551))+~P18(f6(x2552,x2551))
% 7.70/7.79 [222]~P15(x2221)+~P15(x2222)+~P15(x2223)+P6(x2221,x2222)+~E(f4(x2222,x2223),x2221)
% 7.70/7.79 [223]~P15(x2231)+~P15(x2232)+~P15(x2233)+P7(x2231,x2232)+~E(f4(x2233,x2232),x2231)
% 7.70/7.79 [230]~E(x2303,x2301)+~P1(x2301)+~P1(x2303)+~P15(x2302)+P11(f6(x2301,x2302),x2303)
% 7.70/7.79 [238]~P15(x2382)+~P15(x2383)+~P15(x2381)+E(x2381,x2382)+~E(f4(x2383,x2381),f4(x2383,x2382))
% 7.70/7.79 [239]~P15(x2392)+~P15(x2393)+~P15(x2391)+E(x2391,x2392)+~E(f4(x2391,x2393),f4(x2392,x2393))
% 7.70/7.79 [256]~P1(x2561)+~P1(x2563)+~P15(x2562)+~P11(x2562,x2563)+P11(f6(x2561,x2562),x2563)
% 7.70/7.79 [257]~P1(x2573)+~P15(x2571)+~P15(x2572)+~P11(x2572,x2573)+P11(f4(x2571,x2572),x2573)
% 7.70/7.79 [258]~P1(x2583)+~P15(x2582)+~P15(x2581)+~P11(x2581,x2583)+P11(f4(x2581,x2582),x2583)
% 7.70/7.79 [259]~P15(x2592)+~P15(x2593)+~P15(x2591)+~P6(x2591,x2593)+P6(f4(x2591,x2592),x2593)
% 7.70/7.79 [260]~P15(x2601)+~P15(x2603)+~P15(x2602)+~P7(x2602,x2603)+P7(f4(x2601,x2602),x2603)
% 7.70/7.79 [261]~P1(x2612)+~P15(x2611)+~P19(x2611)+~P8(x2612,f51(x2611))+E(a49,x2611)+P19(f6(x2612,x2611))
% 7.70/7.79 [262]~P1(x2622)+~P15(x2621)+~P18(x2621)+~P12(x2622,f51(x2621))+E(a49,x2621)+P18(f6(x2622,x2621))
% 7.70/7.79 [246]~P15(x2462)+~P15(x2461)+~P6(x2463,x2462)+~P6(x2461,x2463)+P6(x2461,x2462)+~P15(x2463)
% 7.70/7.79 [247]~P15(x2472)+~P15(x2471)+~P7(x2473,x2472)+~P7(x2471,x2473)+P7(x2471,x2472)+~P15(x2473)
% 7.70/7.79 [248]~P15(x2482)+~P15(x2481)+~P14(x2483,x2482)+~P14(x2481,x2483)+P14(x2481,x2482)+~P15(x2483)
% 7.70/7.79 [249]~P1(x2492)+~P1(x2491)+~P8(x2493,x2492)+~P8(x2491,x2493)+P8(x2491,x2492)+~P1(x2493)
% 7.70/7.79 [250]~P1(x2502)+~P1(x2501)+~P8(x2501,x2503)+~P12(x2503,x2502)+P12(x2501,x2502)+~P1(x2503)
% 7.70/7.79 [251]~P1(x2512)+~P1(x2511)+~P12(x2513,x2512)+~P12(x2511,x2513)+P12(x2511,x2512)+~P1(x2513)
% 7.70/7.79 [252]~P1(x2522)+~P1(x2521)+~P9(x2523,x2522)+~P9(x2521,x2523)+P9(x2521,x2522)+~P1(x2523)
% 7.70/7.79 [253]~P1(x2532)+~P1(x2531)+~P10(x2533,x2532)+~P10(x2531,x2533)+P10(x2531,x2532)+~P1(x2533)
% 7.70/7.79 [265]~P1(x2652)+~P1(x2651)+~P15(x2653)+E(x2651,x2652)+P11(x2653,x2652)+~P11(f6(x2651,x2653),x2652)
% 7.70/7.79 [268]~P1(x2682)+~P15(x2681)+~P15(x2683)+P11(x2681,x2682)+P11(x2683,x2682)+~P11(f4(x2683,x2681),x2682)
% 7.70/7.79 [242]~P1(x2424)+~P1(x2423)+~P15(x2422)+~P15(x2421)+E(x2421,x2422)+~E(f6(x2423,x2422),f6(x2424,x2421))
% 7.70/7.79 [243]~P1(x2432)+~P1(x2431)+~P15(x2434)+~P15(x2433)+E(x2431,x2432)+~E(f6(x2431,x2433),f6(x2432,x2434))
% 7.70/7.79 [270]~P1(x2702)+~P1(x2701)+E(x2701,x2702)+~P15(x2703)+~P15(x2704)+~P6(f6(x2701,x2704),f6(x2702,x2703))
% 7.70/7.79 [272]~P15(x2722)+~P15(x2721)+P6(x2721,x2722)+~P1(x2723)+~P1(x2724)+~P6(f6(x2724,x2721),f6(x2723,x2722))
% 7.70/7.79 [266]~P1(x2662)+~P15(x2661)+~P15(x2664)+~P15(x2663)+P11(x2661,x2662)+~E(f4(x2663,f6(x2662,x2664)),x2661)
% 7.70/7.79 [267]~P15(x2671)+~P15(x2672)+~P15(x2674)+~P15(x2673)+P14(x2671,x2672)+~E(f4(f4(x2673,x2672),x2674),x2671)
% 7.70/7.79 [271]~P15(x2713)+~P15(x2711)+~P15(x2714)+~P15(x2712)+~P14(x2712,x2714)+P14(f4(f4(x2711,x2712),x2713),x2714)
% 7.70/7.79 [203]~P15(x2032)+~P15(x2031)+E(x2031,x2032)+E(a49,x2032)+E(a49,x2031)+~E(f51(x2031),f51(x2032))+~E(f57(x2031),f57(x2032))
% 7.70/7.79 [269]~E(x2691,x2693)+~P1(x2693)+~P1(x2691)+~P15(x2694)+~P15(x2692)+~P6(x2692,x2694)+P6(f6(x2691,x2692),f6(x2693,x2694))
% 7.70/7.79 [276]~P1(x2762)+~P1(x2761)+~P15(x2764)+~P15(x2763)+~P15(x2765)+~P4(x2765)+E(x2761,x2762)+~E(f4(x2763,f6(x2761,f6(x2762,x2764))),x2765)
% 7.70/7.79 [283]~P1(x2832)+~P1(x2831)+~P15(x2835)+~P15(x2834)+~P15(x2833)+~P15(x2836)+~P3(x2836)+~E(x2831,x2832)+~E(f4(f4(x2833,f6(x2831,x2834)),f6(x2832,x2835)),x2836)
% 7.70/7.79 [284]~P1(x2842)+~P1(x2841)+~P15(x2845)+~P15(x2844)+~P15(x2843)+~P15(x2846)+~P19(x2846)+P8(x2841,x2842)+~E(f4(f4(x2843,f6(x2841,x2844)),f6(x2842,x2845)),x2846)
% 7.70/7.79 [285]~P1(x2852)+~P1(x2851)+~P15(x2855)+~P15(x2854)+~P15(x2853)+~P15(x2856)+~P18(x2856)+P12(x2851,x2852)+~E(f4(f4(x2853,f6(x2851,x2854)),f6(x2852,x2855)),x2856)
% 7.70/7.79 [286]P8(x2862,x2861)+~P1(x2861)+~P1(x2862)+~P15(x2865)+~P15(x2864)+~P15(x2863)+~P15(x2866)+~P16(x2866)+P8(x2861,x2862)+~E(f4(f4(x2863,f6(x2862,x2864)),f6(x2861,x2865)),x2866)
% 7.70/7.79 [287]P12(x2872,x2871)+~P1(x2871)+~P1(x2872)+~P15(x2875)+~P15(x2874)+~P15(x2873)+~P15(x2876)+~P17(x2876)+P12(x2871,x2872)+~E(f4(f4(x2873,f6(x2872,x2874)),f6(x2871,x2875)),x2876)
% 7.70/7.79 [288]~P1(x2884)+~P1(x2882)+~P15(x2885)+~P15(x2883)+~P15(x2881)+~P15(x2886)+~P2(x2886)+~P8(x2884,x2882)+~P8(x2882,x2884)+~E(f4(f4(x2881,f6(x2882,x2883)),f6(x2884,x2885)),x2886)
% 7.70/7.79 %EqnAxiom
% 7.70/7.79 [1]E(x11,x11)
% 7.70/7.79 [2]E(x22,x21)+~E(x21,x22)
% 7.70/7.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 7.70/7.79 [4]~E(x41,x42)+E(f51(x41),f51(x42))
% 7.70/7.79 [5]~E(x51,x52)+E(f27(x51),f27(x52))
% 7.70/7.79 [6]~E(x61,x62)+E(f57(x61),f57(x62))
% 7.70/7.79 [7]~E(x71,x72)+E(f45(x71),f45(x72))
% 7.70/7.79 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 7.70/7.79 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 7.70/7.79 [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 7.70/7.79 [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 7.70/7.79 [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 7.70/7.79 [13]~E(x131,x132)+E(f44(x131),f44(x132))
% 7.70/7.79 [14]~E(x141,x142)+E(f29(x141),f29(x142))
% 7.70/7.79 [15]~E(x151,x152)+E(f42(x151),f42(x152))
% 7.70/7.79 [16]~E(x161,x162)+E(f30(x161),f30(x162))
% 7.70/7.79 [17]~E(x171,x172)+E(f36(x171),f36(x172))
% 7.70/7.79 [18]~E(x181,x182)+E(f40(x181),f40(x182))
% 7.70/7.79 [19]~E(x191,x192)+E(f43(x191),f43(x192))
% 7.70/7.79 [20]~E(x201,x202)+E(f5(x201),f5(x202))
% 7.70/7.79 [21]~E(x211,x212)+E(f7(x211),f7(x212))
% 7.70/7.79 [22]~E(x221,x222)+E(f8(x221),f8(x222))
% 7.70/7.79 [23]~E(x231,x232)+E(f9(x231),f9(x232))
% 7.70/7.79 [24]~E(x241,x242)+E(f10(x241),f10(x242))
% 7.70/7.79 [25]~E(x251,x252)+E(f11(x251),f11(x252))
% 7.70/7.79 [26]~E(x261,x262)+E(f12(x261),f12(x262))
% 7.70/7.79 [27]~E(x271,x272)+E(f13(x271),f13(x272))
% 7.70/7.79 [28]~E(x281,x282)+E(f14(x281),f14(x282))
% 7.70/7.79 [29]~E(x291,x292)+E(f15(x291),f15(x292))
% 7.70/7.79 [30]~E(x301,x302)+E(f17(x301),f17(x302))
% 7.70/7.79 [31]~E(x311,x312)+E(f18(x311),f18(x312))
% 7.70/7.79 [32]~E(x321,x322)+E(f19(x321),f19(x322))
% 7.70/7.79 [33]~E(x331,x332)+E(f20(x331),f20(x332))
% 7.70/7.79 [34]~E(x341,x342)+E(f21(x341),f21(x342))
% 7.70/7.79 [35]~E(x351,x352)+E(f22(x351),f22(x352))
% 7.70/7.79 [36]~E(x361,x362)+E(f23(x361),f23(x362))
% 7.70/7.79 [37]~E(x371,x372)+E(f24(x371),f24(x372))
% 7.70/7.79 [38]~E(x381,x382)+E(f25(x381),f25(x382))
% 7.70/7.79 [39]~E(x391,x392)+E(f26(x391),f26(x392))
% 7.70/7.79 [40]~E(x401,x402)+E(f31(x401),f31(x402))
% 7.70/7.79 [41]~E(x411,x412)+E(f32(x411),f32(x412))
% 7.70/7.79 [42]~E(x421,x422)+E(f33(x421),f33(x422))
% 7.70/7.79 [43]~E(x431,x432)+E(f34(x431),f34(x432))
% 7.70/7.79 [44]~E(x441,x442)+E(f35(x441),f35(x442))
% 7.70/7.79 [45]~E(x451,x452)+E(f54(x451,x453),f54(x452,x453))
% 7.70/7.79 [46]~E(x461,x462)+E(f54(x463,x461),f54(x463,x462))
% 7.70/7.79 [47]~E(x471,x472)+E(f37(x471),f37(x472))
% 7.70/7.79 [48]~E(x481,x482)+E(f41(x481,x483),f41(x482,x483))
% 7.70/7.79 [49]~E(x491,x492)+E(f41(x493,x491),f41(x493,x492))
% 7.70/7.79 [50]~E(x501,x502)+E(f38(x501),f38(x502))
% 7.70/7.79 [51]~E(x511,x512)+E(f39(x511),f39(x512))
% 7.70/7.79 [52]~E(x521,x522)+E(f55(x521,x523),f55(x522,x523))
% 7.70/7.79 [53]~E(x531,x532)+E(f55(x533,x531),f55(x533,x532))
% 7.70/7.79 [54]~E(x541,x542)+E(f47(x541,x543),f47(x542,x543))
% 7.70/7.79 [55]~E(x551,x552)+E(f47(x553,x551),f47(x553,x552))
% 7.70/7.79 [56]~E(x561,x562)+E(f56(x561,x563),f56(x562,x563))
% 7.70/7.79 [57]~E(x571,x572)+E(f56(x573,x571),f56(x573,x572))
% 7.70/7.79 [58]~E(x581,x582)+E(f53(x581,x583),f53(x582,x583))
% 7.70/7.79 [59]~E(x591,x592)+E(f53(x593,x591),f53(x593,x592))
% 7.70/7.79 [60]~E(x601,x602)+E(f52(x601),f52(x602))
% 7.70/7.79 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 7.70/7.79 [62]P8(x622,x623)+~E(x621,x622)+~P8(x621,x623)
% 7.70/7.79 [63]P8(x633,x632)+~E(x631,x632)+~P8(x633,x631)
% 7.70/7.79 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 7.70/7.79 [65]P11(x652,x653)+~E(x651,x652)+~P11(x651,x653)
% 7.70/7.79 [66]P11(x663,x662)+~E(x661,x662)+~P11(x663,x661)
% 7.70/7.79 [67]~P2(x671)+P2(x672)+~E(x671,x672)
% 7.70/7.79 [68]~P19(x681)+P19(x682)+~E(x681,x682)
% 7.70/7.79 [69]~P18(x691)+P18(x692)+~E(x691,x692)
% 7.70/7.79 [70]~P3(x701)+P3(x702)+~E(x701,x702)
% 7.70/7.79 [71]~P16(x711)+P16(x712)+~E(x711,x712)
% 7.70/7.79 [72]~P17(x721)+P17(x722)+~E(x721,x722)
% 7.70/7.79 [73]P7(x732,x733)+~E(x731,x732)+~P7(x731,x733)
% 7.70/7.79 [74]P7(x743,x742)+~E(x741,x742)+~P7(x743,x741)
% 7.70/7.79 [75]~P4(x751)+P4(x752)+~E(x751,x752)
% 7.70/7.79 [76]P12(x762,x763)+~E(x761,x762)+~P12(x761,x763)
% 7.70/7.79 [77]P12(x773,x772)+~E(x771,x772)+~P12(x773,x771)
% 7.70/7.79 [78]~P5(x781)+P5(x782)+~E(x781,x782)
% 7.70/7.79 [79]P6(x792,x793)+~E(x791,x792)+~P6(x791,x793)
% 7.70/7.79 [80]P6(x803,x802)+~E(x801,x802)+~P6(x803,x801)
% 7.70/7.79 [81]P10(x812,x813)+~E(x811,x812)+~P10(x811,x813)
% 7.70/7.79 [82]P10(x823,x822)+~E(x821,x822)+~P10(x823,x821)
% 7.70/7.79 [83]P14(x832,x833)+~E(x831,x832)+~P14(x831,x833)
% 7.70/7.79 [84]P14(x843,x842)+~E(x841,x842)+~P14(x843,x841)
% 7.70/7.79 [85]P13(x852,x853)+~E(x851,x852)+~P13(x851,x853)
% 7.70/7.79 [86]P13(x863,x862)+~E(x861,x862)+~P13(x863,x861)
% 7.70/7.79 [87]P9(x872,x873)+~E(x871,x872)+~P9(x871,x873)
% 7.70/7.79 [88]P9(x883,x882)+~E(x881,x882)+~P9(x883,x881)
% 7.70/7.79
% 7.70/7.79 %-------------------------------------------
% 7.70/7.79 cnf(293,plain,
% 7.70/7.79 (~P13(x2931,x2931)+~P1(x2931)+~P1(x2931)),
% 7.70/7.79 inference(equality_inference,[],[196])).
% 7.70/7.79 cnf(295,plain,
% 7.70/7.79 (~P13(x2951,x2951)+~P15(x2951)+~P15(x2951)),
% 7.70/7.79 inference(equality_inference,[],[198])).
% 7.70/7.79 cnf(314,plain,
% 7.70/7.79 (E(a2,a1)),
% 7.70/7.79 inference(scs_inference,[],[89,2])).
% 7.70/7.79 cnf(321,plain,
% 7.70/7.79 (P3(a2)),
% 7.70/7.79 inference(scs_inference,[],[89,94,104,91,2,172,293,295,70])).
% 7.70/7.79 cnf(322,plain,
% 7.70/7.79 (~P11(a2,a50)+~P11(a46,a50)),
% 7.70/7.79 inference(scs_inference,[],[89,94,104,91,2,172,293,295,70,195])).
% 7.70/7.79 cnf(325,plain,
% 7.70/7.79 (P1(a50)),
% 7.70/7.79 inference(scs_inference,[],[321,108])).
% 7.70/7.79 cnf(326,plain,
% 7.70/7.79 (P11(a2,a50)+P11(a46,a50)),
% 7.70/7.79 inference(scs_inference,[],[321,168])).
% 7.70/7.79 cnf(327,plain,
% 7.70/7.80 (E(a48,a46)),
% 7.70/7.80 inference(scs_inference,[],[90,2])).
% 7.70/7.80 cnf(1056,plain,
% 7.70/7.80 (P11(a1,a50)+P11(a46,a50)),
% 7.70/7.80 inference(scs_inference,[],[314,326,65])).
% 7.70/7.80 cnf(1471,plain,
% 7.70/7.80 (P11(a48,a50)+P11(a46,a50)),
% 7.70/7.80 inference(scs_inference,[],[325,1056,193])).
% 7.70/7.80 cnf(1599,plain,
% 7.70/7.80 (P11(a46,a50)),
% 7.70/7.80 inference(scs_inference,[],[327,1471,65])).
% 7.70/7.80 cnf(1600,plain,
% 7.70/7.80 (~P11(a2,a50)),
% 7.70/7.80 inference(scs_inference,[],[1599,322])).
% 7.70/7.80 cnf(1603,plain,
% 7.70/7.80 (P11(a1,a50)),
% 7.70/7.80 inference(scs_inference,[],[90,1599,325,65,192])).
% 7.70/7.80 cnf(1615,plain,
% 7.70/7.80 ($false),
% 7.70/7.80 inference(scs_inference,[],[89,1603,1600,65]),
% 7.70/7.80 ['proof']).
% 7.70/7.80 % SZS output end Proof
% 7.70/7.80 % Total time :7.090000s
%------------------------------------------------------------------------------