TSTP Solution File: SWC095+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWC095+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n014.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 20:17:02 EDT 2023
% Result : Theorem 0.75s 0.91s
% Output : CNFRefutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC095+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.33 % Computer : n014.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon Aug 28 14:40:46 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.75/0.90 %-------------------------------------------
% 0.75/0.90 % File :CSE---1.6
% 0.75/0.90 % Problem :theBenchmark
% 0.75/0.90 % Transform :cnf
% 0.75/0.90 % Format :tptp:raw
% 0.75/0.90 % Command :java -jar mcs_scs.jar %d %s
% 0.75/0.90
% 0.75/0.90 % Result :Theorem 0.240000s
% 0.75/0.90 % Output :CNFRefutation 0.240000s
% 0.75/0.90 %-------------------------------------------
% 0.75/0.91 %--------------------------------------------------------------------------
% 0.75/0.91 % File : SWC095+1 : TPTP v8.1.2. Released v2.4.0.
% 0.75/0.91 % Domain : Software Creation
% 0.75/0.91 % Problem : cond_insert_x_insert
% 0.75/0.91 % Version : [Wei00] axioms.
% 0.75/0.91 % English : Find components in a software library that match a given target
% 0.75/0.91 % specification given in first-order logic. The components are
% 0.75/0.91 % specified in first-order logic as well. The problem represents
% 0.75/0.91 % a test of one library module specification against a target
% 0.75/0.91 % specification.
% 0.75/0.91
% 0.75/0.91 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.75/0.91 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.75/0.91 % Source : [Wei00]
% 0.75/0.91 % Names : cond_insert_x_insert [Wei00]
% 0.75/0.91
% 0.75/0.91 % Status : Theorem
% 0.75/0.91 % Rating : 0.25 v8.1.0, 0.28 v7.5.0, 0.31 v7.4.0, 0.17 v7.3.0, 0.31 v7.1.0, 0.30 v7.0.0, 0.27 v6.4.0, 0.31 v6.3.0, 0.33 v6.2.0, 0.44 v6.1.0, 0.40 v6.0.0, 0.35 v5.5.0, 0.41 v5.4.0, 0.46 v5.3.0, 0.56 v5.2.0, 0.45 v5.1.0, 0.43 v5.0.0, 0.42 v4.1.0, 0.39 v4.0.1, 0.35 v4.0.0, 0.33 v3.7.0, 0.30 v3.5.0, 0.32 v3.3.0, 0.21 v3.2.0, 0.18 v3.1.0, 0.22 v2.7.0, 0.33 v2.5.0, 0.17 v2.4.0
% 0.75/0.91 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 0.75/0.91 % Number of atoms : 410 ( 77 equ)
% 0.75/0.91 % Maximal formula atoms : 16 ( 4 avg)
% 0.75/0.91 % Number of connectives : 344 ( 30 ~; 14 |; 42 &)
% 0.75/0.91 % ( 26 <=>; 232 =>; 0 <=; 0 <~>)
% 0.75/0.91 % Maximal formula depth : 20 ( 7 avg)
% 0.75/0.91 % Maximal term depth : 4 ( 1 avg)
% 0.75/0.91 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.75/0.91 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 0.75/0.91 % Number of variables : 213 ( 197 !; 16 ?)
% 0.75/0.91 % SPC : FOF_THM_RFO_SEQ
% 0.75/0.91
% 0.75/0.91 % Comments :
% 0.75/0.91 %--------------------------------------------------------------------------
% 0.75/0.91 %----Include list specification axioms
% 0.75/0.91 include('Axioms/SWC001+0.ax').
% 0.75/0.91 %--------------------------------------------------------------------------
% 0.75/0.91 fof(co1,conjecture,
% 0.75/0.91 ! [U] :
% 0.75/0.91 ( ssList(U)
% 0.75/0.91 => ! [V] :
% 0.75/0.91 ( ssList(V)
% 0.75/0.91 => ! [W] :
% 0.75/0.91 ( ssList(W)
% 0.75/0.91 => ! [X] :
% 0.75/0.91 ( ~ ssList(X)
% 0.75/0.91 | V != X
% 0.75/0.91 | U != W
% 0.75/0.91 | ? [Y] :
% 0.75/0.91 ( ssList(Y)
% 0.75/0.91 & ? [Z] :
% 0.75/0.91 ( ssList(Z)
% 0.75/0.91 & ? [X1] :
% 0.75/0.91 ( ssList(X1)
% 0.75/0.91 & app(app(Y,Z),X1) = U
% 0.75/0.91 & app(Y,X1) = V ) ) )
% 0.75/0.91 | ! [X2] :
% 0.75/0.91 ( ssList(X2)
% 0.75/0.91 => ! [X3] :
% 0.75/0.91 ( ssList(X3)
% 0.75/0.91 => ! [X4] :
% 0.75/0.91 ( ~ ssList(X4)
% 0.75/0.91 | app(app(X2,X3),X4) != W
% 0.75/0.91 | app(X2,X4) != X ) ) ) ) ) ) ) ).
% 0.75/0.91
% 0.75/0.91 %--------------------------------------------------------------------------
% 0.75/0.91 %-------------------------------------------
% 0.75/0.91 % Proof found
% 0.75/0.91 % SZS status Theorem for theBenchmark
% 0.75/0.91 % SZS output start Proof
% 0.75/0.91 %ClaNum:288(EqnAxiom:88)
% 0.75/0.91 %VarNum:1016(SingletonVarNum:330)
% 0.75/0.91 %MaxLitNum:10
% 0.75/0.91 %MaxfuncDepth:4
% 0.75/0.91 %SharedTerms:36
% 0.75/0.91 %goalClause: 89 90 94 95 96 97 98 99 100 108 109 265
% 0.75/0.91 %singleGoalClaCount:11
% 0.75/0.91 [89]E(a1,a2)
% 0.75/0.91 [90]E(a46,a48)
% 0.75/0.91 [91]P1(a3)
% 0.75/0.91 [92]P1(a16)
% 0.75/0.91 [93]P15(a49)
% 0.75/0.91 [94]P15(a2)
% 0.75/0.91 [95]P15(a46)
% 0.75/0.91 [96]P15(a1)
% 0.75/0.91 [97]P15(a48)
% 0.75/0.91 [98]P15(a50)
% 0.75/0.91 [99]P15(a51)
% 0.75/0.91 [100]P15(a52)
% 0.75/0.91 [101]P2(a49)
% 0.75/0.91 [102]P16(a49)
% 0.75/0.91 [103]P17(a49)
% 0.75/0.91 [104]P19(a49)
% 0.75/0.91 [105]P18(a49)
% 0.75/0.91 [106]P3(a49)
% 0.75/0.91 [107]P4(a49)
% 0.75/0.91 [110]~E(a16,a3)
% 0.75/0.91 [111]~P5(a49)
% 0.75/0.91 [108]E(f4(a50,a52),a48)
% 0.75/0.91 [109]E(f4(f4(a50,a51),a52),a1)
% 0.75/0.91 [120]~P15(x1201)+P6(x1201,a49)
% 0.75/0.91 [121]~P15(x1211)+P7(x1211,a49)
% 0.75/0.91 [122]~P15(x1221)+P14(x1221,a49)
% 0.75/0.91 [126]~P15(x1261)+P6(x1261,x1261)
% 0.75/0.91 [127]~P15(x1271)+P7(x1271,x1271)
% 0.75/0.91 [128]~P15(x1281)+P14(x1281,x1281)
% 0.75/0.91 [129]~P1(x1291)+P8(x1291,x1291)
% 0.75/0.91 [130]~P1(x1301)+P9(x1301,x1301)
% 0.75/0.91 [170]~P1(x1701)+~P11(a49,x1701)
% 0.75/0.91 [174]~P12(x1741,x1741)+~P1(x1741)
% 0.75/0.91 [124]~P15(x1241)+E(f4(x1241,a49),x1241)
% 0.75/0.91 [125]~P15(x1251)+E(f4(a49,x1251),x1251)
% 0.75/0.91 [179]~P1(x1791)+P2(f6(x1791,a49))
% 0.75/0.91 [180]~P1(x1801)+P16(f6(x1801,a49))
% 0.75/0.91 [181]~P1(x1811)+P17(f6(x1811,a49))
% 0.75/0.91 [182]~P1(x1821)+P19(f6(x1821,a49))
% 0.75/0.91 [183]~P1(x1831)+P18(f6(x1831,a49))
% 0.75/0.91 [184]~P1(x1841)+P3(f6(x1841,a49))
% 0.75/0.91 [185]~P1(x1851)+P4(f6(x1851,a49))
% 0.75/0.91 [165]~P15(x1651)+~E(a49,x1651)+P6(a49,x1651)
% 0.75/0.91 [166]~P15(x1661)+~E(a49,x1661)+P7(a49,x1661)
% 0.75/0.91 [167]~P15(x1671)+~E(a49,x1671)+P14(a49,x1671)
% 0.75/0.91 [171]~P15(x1711)+~P6(a49,x1711)+E(a49,x1711)
% 0.75/0.91 [172]~P15(x1721)+~P7(a49,x1721)+E(a49,x1721)
% 0.75/0.91 [173]~P15(x1731)+~P14(a49,x1731)+E(a49,x1731)
% 0.75/0.91 [112]~P15(x1121)+E(f53(x1121),f27(x1121))+E(a49,x1121)
% 0.75/0.91 [113]~P15(x1131)+E(f59(x1131),f45(x1131))+E(a49,x1131)
% 0.75/0.91 [114]~P15(x1141)+E(a49,x1141)+P1(f53(x1141))
% 0.75/0.91 [115]~P15(x1151)+E(a49,x1151)+P1(f28(x1151))
% 0.75/0.91 [116]~P15(x1161)+E(a49,x1161)+P1(f27(x1161))
% 0.75/0.91 [117]~P15(x1171)+E(a49,x1171)+P15(f59(x1171))
% 0.75/0.91 [118]~P15(x1181)+E(a49,x1181)+P15(f29(x1181))
% 0.75/0.91 [119]~P15(x1191)+E(a49,x1191)+P15(f45(x1191))
% 0.75/0.91 [123]P3(x1231)+~P15(x1231)+E(f30(x1231),f36(x1231))
% 0.75/0.91 [131]~P15(x1311)+P2(x1311)+P1(f5(x1311))
% 0.75/0.91 [132]~P15(x1321)+P2(x1321)+P1(f7(x1321))
% 0.75/0.91 [133]~P15(x1331)+P2(x1331)+P15(f8(x1331))
% 0.75/0.91 [134]~P15(x1341)+P2(x1341)+P15(f9(x1341))
% 0.75/0.91 [135]~P15(x1351)+P2(x1351)+P15(f10(x1351))
% 0.75/0.91 [136]~P15(x1361)+P16(x1361)+P1(f11(x1361))
% 0.75/0.91 [137]~P15(x1371)+P16(x1371)+P1(f12(x1371))
% 0.75/0.91 [138]~P15(x1381)+P16(x1381)+P15(f13(x1381))
% 0.75/0.91 [139]~P15(x1391)+P16(x1391)+P15(f14(x1391))
% 0.75/0.91 [140]~P15(x1401)+P16(x1401)+P15(f15(x1401))
% 0.75/0.91 [141]~P15(x1411)+P17(x1411)+P1(f17(x1411))
% 0.75/0.91 [142]~P15(x1421)+P17(x1421)+P1(f18(x1421))
% 0.75/0.91 [143]~P15(x1431)+P17(x1431)+P15(f19(x1431))
% 0.75/0.91 [144]~P15(x1441)+P17(x1441)+P15(f20(x1441))
% 0.75/0.91 [145]~P15(x1451)+P17(x1451)+P15(f21(x1451))
% 0.75/0.91 [146]~P15(x1461)+P19(x1461)+P1(f22(x1461))
% 0.75/0.91 [147]~P15(x1471)+P19(x1471)+P1(f23(x1471))
% 0.75/0.91 [148]~P15(x1481)+P19(x1481)+P15(f24(x1481))
% 0.75/0.91 [149]~P15(x1491)+P19(x1491)+P15(f25(x1491))
% 0.75/0.91 [150]~P15(x1501)+P19(x1501)+P15(f26(x1501))
% 0.75/0.91 [151]~P15(x1511)+P18(x1511)+P1(f31(x1511))
% 0.75/0.91 [152]~P15(x1521)+P18(x1521)+P1(f32(x1521))
% 0.75/0.91 [153]~P15(x1531)+P18(x1531)+P15(f33(x1531))
% 0.75/0.91 [154]~P15(x1541)+P18(x1541)+P15(f34(x1541))
% 0.75/0.91 [155]~P15(x1551)+P18(x1551)+P15(f35(x1551))
% 0.75/0.91 [156]~P15(x1561)+P3(x1561)+P1(f30(x1561))
% 0.75/0.91 [157]~P15(x1571)+P3(x1571)+P1(f36(x1571))
% 0.75/0.91 [158]~P15(x1581)+P3(x1581)+P15(f37(x1581))
% 0.75/0.91 [159]~P15(x1591)+P3(x1591)+P15(f38(x1591))
% 0.75/0.91 [160]~P15(x1601)+P3(x1601)+P15(f39(x1601))
% 0.75/0.91 [161]~P15(x1611)+P4(x1611)+P1(f40(x1611))
% 0.75/0.91 [162]~P15(x1621)+P4(x1621)+P1(f42(x1621))
% 0.75/0.91 [163]~P15(x1631)+P4(x1631)+P15(f43(x1631))
% 0.75/0.91 [164]~P15(x1641)+P4(x1641)+P15(f44(x1641))
% 0.75/0.91 [168]~P15(x1681)+P4(x1681)+~E(f42(x1681),f40(x1681))
% 0.75/0.91 [169]~P15(x1691)+~P5(x1691)+P1(f54(x1691))
% 0.75/0.91 [190]~P15(x1901)+P2(x1901)+P8(f5(x1901),f7(x1901))
% 0.75/0.91 [191]~P15(x1911)+P2(x1911)+P8(f7(x1911),f5(x1911))
% 0.75/0.91 [211]~P15(x2111)+P16(x2111)+~P8(f11(x2111),f12(x2111))
% 0.75/0.91 [212]~P15(x2121)+P16(x2121)+~P8(f12(x2121),f11(x2121))
% 0.75/0.91 [213]~P15(x2131)+P17(x2131)+~P12(f17(x2131),f18(x2131))
% 0.75/0.91 [214]~P15(x2141)+P17(x2141)+~P12(f18(x2141),f17(x2141))
% 0.75/0.91 [215]~P15(x2151)+P19(x2151)+~P8(f22(x2151),f23(x2151))
% 0.75/0.91 [216]~P15(x2161)+P18(x2161)+~P12(f31(x2161),f32(x2161))
% 0.75/0.91 [178]~P15(x1781)+~P5(x1781)+E(f6(f54(x1781),a49),x1781)
% 0.75/0.91 [186]~P15(x1861)+E(a49,x1861)+E(f6(f53(x1861),f59(x1861)),x1861)
% 0.75/0.91 [187]~P15(x1871)+E(a49,x1871)+E(f6(f28(x1871),f29(x1871)),x1871)
% 0.75/0.91 [277]P2(x2771)+~P15(x2771)+E(f4(f4(f8(x2771),f6(f5(x2771),f9(x2771))),f6(f7(x2771),f10(x2771))),x2771)
% 0.75/0.91 [278]P16(x2781)+~P15(x2781)+E(f4(f4(f13(x2781),f6(f11(x2781),f14(x2781))),f6(f12(x2781),f15(x2781))),x2781)
% 0.75/0.91 [279]P17(x2791)+~P15(x2791)+E(f4(f4(f19(x2791),f6(f17(x2791),f20(x2791))),f6(f18(x2791),f21(x2791))),x2791)
% 0.75/0.91 [280]P19(x2801)+~P15(x2801)+E(f4(f4(f24(x2801),f6(f22(x2801),f25(x2801))),f6(f23(x2801),f26(x2801))),x2801)
% 0.75/0.91 [281]P18(x2811)+~P15(x2811)+E(f4(f4(f33(x2811),f6(f31(x2811),f34(x2811))),f6(f32(x2811),f35(x2811))),x2811)
% 0.75/0.91 [282]P3(x2821)+~P15(x2821)+E(f4(f4(f37(x2821),f6(f30(x2821),f38(x2821))),f6(f36(x2821),f39(x2821))),x2821)
% 0.75/0.91 [275]P4(x2751)+~P15(x2751)+E(f4(f43(x2751),f6(f40(x2751),f6(f42(x2751),f44(x2751)))),x2751)
% 0.75/0.91 [188]~P1(x1881)+~P15(x1882)+~E(f6(x1881,x1882),a49)
% 0.75/0.91 [189]~P1(x1891)+~P15(x1892)+~E(f6(x1891,x1892),x1892)
% 0.75/0.91 [198]~P1(x1981)+~P15(x1982)+P15(f6(x1981,x1982))
% 0.75/0.91 [199]~P15(x1992)+~P15(x1991)+P15(f4(x1991,x1992))
% 0.75/0.91 [200]~P1(x2001)+~P15(x2002)+E(f53(f6(x2001,x2002)),x2001)
% 0.75/0.91 [201]~P1(x2011)+~P15(x2012)+E(f59(f6(x2011,x2012)),x2012)
% 0.75/0.91 [228]~P1(x2281)+~P15(x2282)+E(f4(f6(x2281,a49),x2282),f6(x2281,x2282))
% 0.75/0.91 [175]P13(x1751,x1752)+~P1(x1752)+~P1(x1751)+E(x1751,x1752)
% 0.75/0.91 [176]P13(x1761,x1762)+~P15(x1762)+~P15(x1761)+E(x1761,x1762)
% 0.75/0.91 [195]~P1(x1952)+~P1(x1951)+~P13(x1951,x1952)+~E(x1951,x1952)
% 0.75/0.91 [196]~P1(x1962)+~P1(x1961)+~P12(x1961,x1962)+~E(x1961,x1962)
% 0.75/0.91 [197]~P15(x1972)+~P15(x1971)+~P13(x1971,x1972)+~E(x1971,x1972)
% 0.75/0.91 [206]~P1(x2061)+~P1(x2062)+~P9(x2062,x2061)+P8(x2061,x2062)
% 0.75/0.91 [207]~P1(x2072)+~P1(x2071)+~P12(x2071,x2072)+P8(x2071,x2072)
% 0.75/0.91 [208]~P1(x2081)+~P1(x2082)+~P10(x2082,x2081)+P12(x2081,x2082)
% 0.75/0.91 [209]~P1(x2091)+~P1(x2092)+~P8(x2092,x2091)+P9(x2091,x2092)
% 0.75/0.91 [210]~P1(x2101)+~P1(x2102)+~P12(x2102,x2101)+P10(x2101,x2102)
% 0.75/0.91 [219]~P12(x2191,x2192)+~P12(x2192,x2191)+~P1(x2191)+~P1(x2192)
% 0.75/0.91 [220]~P10(x2201,x2202)+~P10(x2202,x2201)+~P1(x2201)+~P1(x2202)
% 0.75/0.91 [192]~P15(x1922)+~P15(x1921)+E(a49,x1921)+~E(f4(x1922,x1921),a49)
% 0.75/0.91 [193]~P15(x1932)+~P15(x1931)+E(a49,x1931)+~E(f4(x1931,x1932),a49)
% 0.75/0.91 [194]~P1(x1942)+~P15(x1941)+P5(x1941)+~E(f6(x1942,a49),x1941)
% 0.75/0.91 [203]~P1(x2031)+~P15(x2032)+~E(a49,x2032)+P19(f6(x2031,x2032))
% 0.75/0.91 [204]~P1(x2041)+~P15(x2042)+~E(a49,x2042)+P18(f6(x2041,x2042))
% 0.75/0.91 [231]~P1(x2312)+~P15(x2311)+~P11(x2311,x2312)+P15(f41(x2311,x2312))
% 0.75/0.92 [232]~P1(x2322)+~P15(x2321)+~P11(x2321,x2322)+P15(f47(x2321,x2322))
% 0.75/0.92 [233]~P15(x2332)+~P15(x2331)+~P6(x2331,x2332)+P15(f55(x2331,x2332))
% 0.75/0.92 [234]~P15(x2342)+~P15(x2341)+~P7(x2341,x2342)+P15(f56(x2341,x2342))
% 0.75/0.92 [235]~P15(x2352)+~P15(x2351)+~P14(x2351,x2352)+P15(f57(x2351,x2352))
% 0.75/0.92 [236]~P15(x2362)+~P15(x2361)+~P14(x2361,x2362)+P15(f58(x2361,x2362))
% 0.75/0.92 [205]~P15(x2052)+~P15(x2051)+E(a49,x2051)+E(f53(f4(x2051,x2052)),f53(x2051))
% 0.75/0.92 [230]~P15(x2302)+~P15(x2301)+E(a49,x2301)+E(f59(f4(x2301,x2302)),f4(f59(x2301),x2302))
% 0.75/0.92 [243]~P15(x2432)+~P15(x2431)+~P6(x2432,x2431)+E(f4(x2431,f55(x2432,x2431)),x2432)
% 0.75/0.92 [244]~P15(x2442)+~P15(x2441)+~P7(x2441,x2442)+E(f4(f56(x2441,x2442),x2442),x2441)
% 0.75/0.92 [274]~P15(x2742)+~P15(x2741)+~P14(x2741,x2742)+E(f4(f4(f57(x2741,x2742),x2742),f58(x2741,x2742)),x2741)
% 0.75/0.92 [273]~P1(x2732)+~P15(x2731)+~P11(x2731,x2732)+E(f4(f41(x2731,x2732),f6(x2732,f47(x2731,x2732))),x2731)
% 0.75/0.92 [262]~P1(x2621)+~P15(x2622)+~P15(x2623)+E(f6(x2621,f4(x2622,x2623)),f4(f6(x2621,x2622),x2623))
% 0.75/0.92 [263]~P15(x2633)+~P15(x2632)+~P15(x2631)+E(f4(f4(x2631,x2632),x2633),f4(x2631,f4(x2632,x2633)))
% 0.75/0.92 [218]P12(x2181,x2182)+~P1(x2182)+~P1(x2181)+~P8(x2181,x2182)+E(x2181,x2182)
% 0.75/0.92 [223]~P1(x2232)+~P1(x2231)+~P8(x2232,x2231)+~P8(x2231,x2232)+E(x2231,x2232)
% 0.75/0.92 [224]~P1(x2242)+~P1(x2241)+~P9(x2242,x2241)+~P9(x2241,x2242)+E(x2241,x2242)
% 0.75/0.92 [225]~P15(x2252)+~P15(x2251)+~P6(x2252,x2251)+~P6(x2251,x2252)+E(x2251,x2252)
% 0.75/0.92 [226]~P15(x2262)+~P15(x2261)+~P7(x2262,x2261)+~P7(x2261,x2262)+E(x2261,x2262)
% 0.75/0.92 [227]~P15(x2272)+~P15(x2271)+~P14(x2272,x2271)+~P14(x2271,x2272)+E(x2271,x2272)
% 0.75/0.92 [177]~P15(x1771)+~P15(x1772)+~E(a49,x1771)+~E(a49,x1772)+E(f4(x1771,x1772),a49)
% 0.75/0.92 [239]P19(x2391)+~P15(x2391)+~P1(x2392)+E(a49,x2391)+~P19(f6(x2392,x2391))
% 0.75/0.92 [240]P18(x2401)+~P15(x2401)+~P1(x2402)+E(a49,x2401)+~P18(f6(x2402,x2401))
% 0.75/0.92 [253]~P1(x2532)+~P15(x2531)+E(a49,x2531)+P8(x2532,f53(x2531))+~P19(f6(x2532,x2531))
% 0.75/0.92 [254]~P1(x2542)+~P15(x2541)+E(a49,x2541)+P12(x2542,f53(x2541))+~P18(f6(x2542,x2541))
% 0.75/0.92 [221]~P15(x2211)+~P15(x2212)+~P15(x2213)+P6(x2211,x2212)+~E(f4(x2212,x2213),x2211)
% 0.75/0.92 [222]~P15(x2221)+~P15(x2222)+~P15(x2223)+P7(x2221,x2222)+~E(f4(x2223,x2222),x2221)
% 0.75/0.92 [229]~E(x2293,x2291)+~P1(x2291)+~P1(x2293)+~P15(x2292)+P11(f6(x2291,x2292),x2293)
% 0.75/0.92 [237]~P15(x2372)+~P15(x2373)+~P15(x2371)+E(x2371,x2372)+~E(f4(x2373,x2371),f4(x2373,x2372))
% 0.75/0.92 [238]~P15(x2382)+~P15(x2383)+~P15(x2381)+E(x2381,x2382)+~E(f4(x2381,x2383),f4(x2382,x2383))
% 0.75/0.92 [255]~P1(x2551)+~P1(x2553)+~P15(x2552)+~P11(x2552,x2553)+P11(f6(x2551,x2552),x2553)
% 0.75/0.92 [256]~P1(x2563)+~P15(x2561)+~P15(x2562)+~P11(x2562,x2563)+P11(f4(x2561,x2562),x2563)
% 0.75/0.92 [257]~P1(x2573)+~P15(x2572)+~P15(x2571)+~P11(x2571,x2573)+P11(f4(x2571,x2572),x2573)
% 0.75/0.92 [258]~P15(x2582)+~P15(x2583)+~P15(x2581)+~P6(x2581,x2583)+P6(f4(x2581,x2582),x2583)
% 0.75/0.92 [259]~P15(x2591)+~P15(x2593)+~P15(x2592)+~P7(x2592,x2593)+P7(f4(x2591,x2592),x2593)
% 0.75/0.92 [265]~P15(x2652)+~P15(x2653)+~P15(x2651)+~E(f4(x2651,x2652),a46)+~E(f4(f4(x2651,x2653),x2652),a2)
% 0.75/0.92 [260]~P1(x2602)+~P15(x2601)+~P19(x2601)+~P8(x2602,f53(x2601))+E(a49,x2601)+P19(f6(x2602,x2601))
% 0.75/0.92 [261]~P1(x2612)+~P15(x2611)+~P18(x2611)+~P12(x2612,f53(x2611))+E(a49,x2611)+P18(f6(x2612,x2611))
% 0.75/0.92 [245]~P15(x2452)+~P15(x2451)+~P6(x2453,x2452)+~P6(x2451,x2453)+P6(x2451,x2452)+~P15(x2453)
% 0.75/0.92 [246]~P15(x2462)+~P15(x2461)+~P7(x2463,x2462)+~P7(x2461,x2463)+P7(x2461,x2462)+~P15(x2463)
% 0.75/0.92 [247]~P15(x2472)+~P15(x2471)+~P14(x2473,x2472)+~P14(x2471,x2473)+P14(x2471,x2472)+~P15(x2473)
% 0.75/0.92 [248]~P1(x2482)+~P1(x2481)+~P8(x2483,x2482)+~P8(x2481,x2483)+P8(x2481,x2482)+~P1(x2483)
% 0.75/0.92 [249]~P1(x2492)+~P1(x2491)+~P8(x2491,x2493)+~P12(x2493,x2492)+P12(x2491,x2492)+~P1(x2493)
% 0.75/0.92 [250]~P1(x2502)+~P1(x2501)+~P12(x2503,x2502)+~P12(x2501,x2503)+P12(x2501,x2502)+~P1(x2503)
% 0.75/0.92 [251]~P1(x2512)+~P1(x2511)+~P9(x2513,x2512)+~P9(x2511,x2513)+P9(x2511,x2512)+~P1(x2513)
% 0.75/0.92 [252]~P1(x2522)+~P1(x2521)+~P10(x2523,x2522)+~P10(x2521,x2523)+P10(x2521,x2522)+~P1(x2523)
% 0.75/0.92 [264]~P1(x2642)+~P1(x2641)+~P15(x2643)+E(x2641,x2642)+P11(x2643,x2642)+~P11(f6(x2641,x2643),x2642)
% 0.75/0.92 [268]~P1(x2682)+~P15(x2681)+~P15(x2683)+P11(x2681,x2682)+P11(x2683,x2682)+~P11(f4(x2683,x2681),x2682)
% 0.75/0.92 [241]~P1(x2414)+~P1(x2413)+~P15(x2412)+~P15(x2411)+E(x2411,x2412)+~E(f6(x2413,x2412),f6(x2414,x2411))
% 0.75/0.92 [242]~P1(x2422)+~P1(x2421)+~P15(x2424)+~P15(x2423)+E(x2421,x2422)+~E(f6(x2421,x2423),f6(x2422,x2424))
% 0.75/0.92 [270]~P1(x2702)+~P1(x2701)+E(x2701,x2702)+~P15(x2703)+~P15(x2704)+~P6(f6(x2701,x2704),f6(x2702,x2703))
% 0.75/0.92 [272]~P15(x2722)+~P15(x2721)+P6(x2721,x2722)+~P1(x2723)+~P1(x2724)+~P6(f6(x2724,x2721),f6(x2723,x2722))
% 0.75/0.92 [266]~P1(x2662)+~P15(x2661)+~P15(x2664)+~P15(x2663)+P11(x2661,x2662)+~E(f4(x2663,f6(x2662,x2664)),x2661)
% 0.75/0.92 [267]~P15(x2671)+~P15(x2672)+~P15(x2674)+~P15(x2673)+P14(x2671,x2672)+~E(f4(f4(x2673,x2672),x2674),x2671)
% 0.75/0.92 [271]~P15(x2713)+~P15(x2711)+~P15(x2714)+~P15(x2712)+~P14(x2712,x2714)+P14(f4(f4(x2711,x2712),x2713),x2714)
% 0.75/0.92 [202]~P15(x2022)+~P15(x2021)+E(x2021,x2022)+E(a49,x2022)+E(a49,x2021)+~E(f53(x2021),f53(x2022))+~E(f59(x2021),f59(x2022))
% 0.75/0.92 [269]~E(x2691,x2693)+~P1(x2693)+~P1(x2691)+~P15(x2694)+~P15(x2692)+~P6(x2692,x2694)+P6(f6(x2691,x2692),f6(x2693,x2694))
% 0.75/0.92 [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)
% 0.75/0.92 [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)
% 0.75/0.92 [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)
% 0.75/0.92 [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)
% 0.75/0.92 [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)
% 0.75/0.92 [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)
% 0.75/0.92 [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)
% 0.75/0.92 %EqnAxiom
% 0.75/0.92 [1]E(x11,x11)
% 0.75/0.92 [2]E(x22,x21)+~E(x21,x22)
% 0.75/0.92 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.75/0.92 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 0.75/0.92 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 0.75/0.92 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 0.75/0.92 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 0.75/0.92 [8]~E(x81,x82)+E(f13(x81),f13(x82))
% 0.75/0.92 [9]~E(x91,x92)+E(f53(x91),f53(x92))
% 0.75/0.92 [10]~E(x101,x102)+E(f27(x101),f27(x102))
% 0.75/0.92 [11]~E(x111,x112)+E(f59(x111),f59(x112))
% 0.75/0.92 [12]~E(x121,x122)+E(f45(x121),f45(x122))
% 0.75/0.92 [13]~E(x131,x132)+E(f37(x131),f37(x132))
% 0.75/0.92 [14]~E(x141,x142)+E(f28(x141),f28(x142))
% 0.75/0.92 [15]~E(x151,x152)+E(f56(x151,x153),f56(x152,x153))
% 0.75/0.92 [16]~E(x161,x162)+E(f56(x163,x161),f56(x163,x162))
% 0.75/0.92 [17]~E(x171,x172)+E(f55(x171,x173),f55(x172,x173))
% 0.75/0.92 [18]~E(x181,x182)+E(f55(x183,x181),f55(x183,x182))
% 0.75/0.92 [19]~E(x191,x192)+E(f29(x191),f29(x192))
% 0.75/0.92 [20]~E(x201,x202)+E(f57(x201,x203),f57(x202,x203))
% 0.75/0.92 [21]~E(x211,x212)+E(f57(x213,x211),f57(x213,x212))
% 0.75/0.92 [22]~E(x221,x222)+E(f30(x221),f30(x222))
% 0.75/0.92 [23]~E(x231,x232)+E(f36(x231),f36(x232))
% 0.75/0.92 [24]~E(x241,x242)+E(f11(x241),f11(x242))
% 0.75/0.92 [25]~E(x251,x252)+E(f10(x251),f10(x252))
% 0.75/0.92 [26]~E(x261,x262)+E(f5(x261),f5(x262))
% 0.75/0.92 [27]~E(x271,x272)+E(f7(x271),f7(x272))
% 0.75/0.92 [28]~E(x281,x282)+E(f8(x281),f8(x282))
% 0.75/0.92 [29]~E(x291,x292)+E(f9(x291),f9(x292))
% 0.75/0.92 [30]~E(x301,x302)+E(f17(x301),f17(x302))
% 0.75/0.92 [31]~E(x311,x312)+E(f18(x311),f18(x312))
% 0.75/0.92 [32]~E(x321,x322)+E(f12(x321),f12(x322))
% 0.75/0.92 [33]~E(x331,x332)+E(f26(x331),f26(x332))
% 0.75/0.92 [34]~E(x341,x342)+E(f14(x341),f14(x342))
% 0.75/0.92 [35]~E(x351,x352)+E(f15(x351),f15(x352))
% 0.75/0.92 [36]~E(x361,x362)+E(f34(x361),f34(x362))
% 0.75/0.92 [37]~E(x371,x372)+E(f23(x371),f23(x372))
% 0.75/0.92 [38]~E(x381,x382)+E(f19(x381),f19(x382))
% 0.75/0.92 [39]~E(x391,x392)+E(f20(x391),f20(x392))
% 0.75/0.92 [40]~E(x401,x402)+E(f21(x401),f21(x402))
% 0.75/0.92 [41]~E(x411,x412)+E(f22(x411),f22(x412))
% 0.75/0.92 [42]~E(x421,x422)+E(f41(x421,x423),f41(x422,x423))
% 0.75/0.92 [43]~E(x431,x432)+E(f41(x433,x431),f41(x433,x432))
% 0.75/0.92 [44]~E(x441,x442)+E(f24(x441),f24(x442))
% 0.75/0.92 [45]~E(x451,x452)+E(f25(x451),f25(x452))
% 0.75/0.92 [46]~E(x461,x462)+E(f38(x461),f38(x462))
% 0.75/0.92 [47]~E(x471,x472)+E(f31(x471),f31(x472))
% 0.75/0.92 [48]~E(x481,x482)+E(f32(x481),f32(x482))
% 0.75/0.92 [49]~E(x491,x492)+E(f33(x491),f33(x492))
% 0.75/0.92 [50]~E(x501,x502)+E(f42(x501),f42(x502))
% 0.75/0.92 [51]~E(x511,x512)+E(f35(x511),f35(x512))
% 0.75/0.92 [52]~E(x521,x522)+E(f44(x521),f44(x522))
% 0.75/0.92 [53]~E(x531,x532)+E(f58(x531,x533),f58(x532,x533))
% 0.75/0.92 [54]~E(x541,x542)+E(f58(x543,x541),f58(x543,x542))
% 0.75/0.92 [55]~E(x551,x552)+E(f54(x551),f54(x552))
% 0.75/0.92 [56]~E(x561,x562)+E(f47(x561,x563),f47(x562,x563))
% 0.75/0.92 [57]~E(x571,x572)+E(f47(x573,x571),f47(x573,x572))
% 0.75/0.92 [58]~E(x581,x582)+E(f39(x581),f39(x582))
% 0.75/0.92 [59]~E(x591,x592)+E(f40(x591),f40(x592))
% 0.75/0.92 [60]~E(x601,x602)+E(f43(x601),f43(x602))
% 0.75/0.92 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 0.75/0.92 [62]P8(x622,x623)+~E(x621,x622)+~P8(x621,x623)
% 0.75/0.92 [63]P8(x633,x632)+~E(x631,x632)+~P8(x633,x631)
% 0.75/0.92 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 0.75/0.92 [65]P11(x652,x653)+~E(x651,x652)+~P11(x651,x653)
% 0.75/0.92 [66]P11(x663,x662)+~E(x661,x662)+~P11(x663,x661)
% 0.75/0.92 [67]~P4(x671)+P4(x672)+~E(x671,x672)
% 0.75/0.92 [68]~P3(x681)+P3(x682)+~E(x681,x682)
% 0.75/0.92 [69]~P18(x691)+P18(x692)+~E(x691,x692)
% 0.75/0.92 [70]~P17(x701)+P17(x702)+~E(x701,x702)
% 0.75/0.92 [71]P14(x712,x713)+~E(x711,x712)+~P14(x711,x713)
% 0.75/0.92 [72]P14(x723,x722)+~E(x721,x722)+~P14(x723,x721)
% 0.75/0.92 [73]~P19(x731)+P19(x732)+~E(x731,x732)
% 0.75/0.92 [74]~P2(x741)+P2(x742)+~E(x741,x742)
% 0.75/0.92 [75]~P16(x751)+P16(x752)+~E(x751,x752)
% 0.75/0.92 [76]P13(x762,x763)+~E(x761,x762)+~P13(x761,x763)
% 0.75/0.92 [77]P13(x773,x772)+~E(x771,x772)+~P13(x773,x771)
% 0.75/0.92 [78]P12(x782,x783)+~E(x781,x782)+~P12(x781,x783)
% 0.75/0.92 [79]P12(x793,x792)+~E(x791,x792)+~P12(x793,x791)
% 0.75/0.92 [80]~P5(x801)+P5(x802)+~E(x801,x802)
% 0.75/0.92 [81]P9(x812,x813)+~E(x811,x812)+~P9(x811,x813)
% 0.75/0.92 [82]P9(x823,x822)+~E(x821,x822)+~P9(x823,x821)
% 0.75/0.92 [83]P6(x832,x833)+~E(x831,x832)+~P6(x831,x833)
% 0.75/0.92 [84]P6(x843,x842)+~E(x841,x842)+~P6(x843,x841)
% 0.75/0.92 [85]P7(x852,x853)+~E(x851,x852)+~P7(x851,x853)
% 0.75/0.92 [86]P7(x863,x862)+~E(x861,x862)+~P7(x863,x861)
% 0.75/0.92 [87]P10(x872,x873)+~E(x871,x872)+~P10(x871,x873)
% 0.75/0.92 [88]P10(x883,x882)+~E(x881,x882)+~P10(x883,x881)
% 0.75/0.92
% 0.75/0.92 %-------------------------------------------
% 0.75/0.92 cnf(289,plain,
% 0.75/0.92 (E(a2,a1)),
% 0.75/0.92 inference(scs_inference,[],[89,2])).
% 0.75/0.92 cnf(290,plain,
% 0.75/0.92 (~P12(a3,a3)),
% 0.75/0.92 inference(scs_inference,[],[89,91,2,174])).
% 0.75/0.92 cnf(294,plain,
% 0.75/0.92 (P6(a48,a50)),
% 0.75/0.92 inference(scs_inference,[],[89,97,98,100,91,108,109,2,174,3,222,221])).
% 0.75/0.92 cnf(296,plain,
% 0.75/0.92 (~E(f4(a50,a52),a46)),
% 0.75/0.92 inference(scs_inference,[],[89,97,98,99,100,91,108,109,2,174,3,222,221,265])).
% 0.75/0.92 cnf(298,plain,
% 0.75/0.92 (P14(a1,a51)),
% 0.75/0.92 inference(scs_inference,[],[89,96,97,98,99,100,91,108,109,2,174,3,222,221,265,267])).
% 0.75/0.92 cnf(300,plain,
% 0.75/0.92 (~P11(a49,a3)),
% 0.75/0.92 inference(scs_inference,[],[89,96,97,98,99,100,91,108,109,2,174,3,222,221,265,267,170])).
% 0.75/0.92 cnf(306,plain,
% 0.75/0.92 (P14(a2,a2)),
% 0.75/0.92 inference(scs_inference,[],[89,94,96,97,98,99,100,91,108,109,2,174,3,222,221,265,267,170,130,129,128])).
% 0.87/0.92 cnf(308,plain,
% 0.87/0.92 (P7(a2,a2)),
% 0.87/0.92 inference(scs_inference,[],[89,94,96,97,98,99,100,91,108,109,2,174,3,222,221,265,267,170,130,129,128,127])).
% 0.87/0.92 cnf(310,plain,
% 0.87/0.92 (P6(a2,a2)),
% 0.87/0.92 inference(scs_inference,[],[89,94,96,97,98,99,100,91,108,109,2,174,3,222,221,265,267,170,130,129,128,127,126])).
% 0.87/0.92 cnf(339,plain,
% 0.87/0.92 (E(f47(x3391,a1),f47(x3391,a2))),
% 0.87/0.92 inference(scs_inference,[],[89,94,96,97,98,99,100,91,108,109,2,174,3,222,221,265,267,170,130,129,128,127,126,122,121,120,185,184,183,182,181,180,179,125,124,60,59,58,57])).
% 0.87/0.92 cnf(340,plain,
% 0.87/0.92 (E(f47(a1,x3401),f47(a2,x3401))),
% 0.87/0.92 inference(scs_inference,[],[89,94,96,97,98,99,100,91,108,109,2,174,3,222,221,265,267,170,130,129,128,127,126,122,121,120,185,184,183,182,181,180,179,125,124,60,59,58,57,56])).
% 0.87/0.92 cnf(505,plain,
% 0.87/0.92 (P7(a1,a2)),
% 0.87/0.92 inference(scs_inference,[],[95,103,110,93,92,91,94,290,308,310,289,300,306,201,198,208,175,236,235,263,262,244,259,258,264,287,2,85])).
% 0.87/0.92 cnf(507,plain,
% 0.87/0.92 (P6(a1,a2)),
% 0.87/0.92 inference(scs_inference,[],[95,103,110,93,92,91,94,290,308,310,289,300,306,201,198,208,175,236,235,263,262,244,259,258,264,287,2,85,84,83])).
% 0.87/0.92 cnf(509,plain,
% 0.87/0.92 (~E(a48,a46)),
% 0.87/0.92 inference(scs_inference,[],[89,95,103,108,110,93,92,91,94,290,308,310,296,289,298,300,306,201,198,208,175,236,235,263,262,244,259,258,264,287,2,85,84,83,71,3])).
% 0.87/0.92 cnf(533,plain,
% 0.87/0.92 (P13(a48,a48)),
% 0.87/0.92 inference(scs_inference,[],[89,95,103,90,108,110,93,97,92,91,94,290,308,310,296,289,298,300,306,201,198,208,175,236,235,263,262,244,259,258,264,287,2,85,84,83,71,3,200,199,189,188,228,176,234,233,243,274,271,86,77])).
% 0.87/0.92 cnf(536,plain,
% 0.87/0.92 (P7(a1,a1)),
% 0.87/0.92 inference(scs_inference,[],[89,102,95,103,90,108,110,96,93,97,92,91,94,290,308,310,296,289,298,300,306,201,198,208,175,236,235,263,262,244,259,258,264,287,2,85,84,83,71,3,200,199,189,188,228,176,234,233,243,274,271,86,77,72,75,246])).
% 0.87/0.92 cnf(538,plain,
% 0.87/0.92 (P6(a1,a1)),
% 0.87/0.92 inference(scs_inference,[],[89,102,95,103,90,108,110,96,93,97,92,91,94,290,308,310,296,289,298,300,306,201,198,208,175,236,235,263,262,244,259,258,264,287,2,85,84,83,71,3,200,199,189,188,228,176,234,233,243,274,271,86,77,72,75,246,245])).
% 0.87/0.92 cnf(591,plain,
% 0.87/0.92 ($false),
% 0.87/0.92 inference(scs_inference,[],[90,103,99,98,96,97,93,92,91,94,339,340,509,294,505,507,533,536,538,298,290,197,238,237,287,236,235,233,263,262,244,243,259,258,3,234,274,2]),
% 0.87/0.92 ['proof']).
% 0.87/0.92 % SZS output end Proof
% 0.87/0.92 % Total time :0.240000s
%------------------------------------------------------------------------------