%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC422+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 : n028.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 16:15:29 EDT 2024
% Result : Theorem 0.53s 0.80s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC422+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Thu Jun 20 04:59:08 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.53/0.79 %-------------------------------------------
% 0.53/0.79 % File :CSE---1.7
% 0.53/0.79 % Problem :theBenchmark
% 0.53/0.79 % Transform :cnf
% 0.53/0.79 % Format :tptp:raw
% 0.53/0.79 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.79
% 0.53/0.80 % Result :Theorem 0.050000s
% 0.53/0.80 % Output :CNFRefutation 0.050000s
% 0.53/0.80 %-------------------------------------------
% 0.53/0.80 %--------------------------------------------------------------------------
% 0.53/0.80 % File : SWC422+1 : TPTP v8.2.0. Released v2.4.0.
% 0.53/0.80 % Domain : Software Creation
% 0.53/0.80 % Problem : cond_turn_x_turn
% 0.53/0.80 % Version : [Wei00] axioms.
% 0.53/0.80 % English : Find components in a software library that match a given target
% 0.53/0.80 % specification given in first-order logic. The components are
% 0.53/0.80 % specified in first-order logic as well. The problem represents
% 0.53/0.80 % a test of one library module specification against a target
% 0.53/0.80 % specification.
% 0.53/0.80
% 0.53/0.80 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.53/0.80 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.53/0.80 % Source : [Wei00]
% 0.53/0.80 % Names : cond_turn_x_turn [Wei00]
% 0.53/0.80
% 0.53/0.80 % Status : Theorem
% 0.53/0.80 % Rating : 0.36 v8.2.0, 0.33 v8.1.0, 0.36 v7.5.0, 0.38 v7.4.0, 0.23 v7.3.0, 0.34 v7.1.0, 0.39 v7.0.0, 0.30 v6.4.0, 0.35 v6.3.0, 0.42 v6.2.0, 0.48 v6.1.0, 0.53 v6.0.0, 0.52 v5.5.0, 0.63 v5.4.0, 0.61 v5.3.0, 0.63 v5.2.0, 0.50 v5.1.0, 0.52 v5.0.0, 0.54 v4.1.0, 0.52 v4.0.1, 0.48 v4.0.0, 0.46 v3.7.0, 0.45 v3.5.0, 0.47 v3.3.0, 0.43 v3.2.0, 0.45 v3.1.0, 0.56 v2.7.0, 0.50 v2.6.0, 0.67 v2.4.0
% 0.53/0.80 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 0.53/0.80 % Number of atoms : 413 ( 77 equ)
% 0.53/0.80 % Maximal formula atoms : 19 ( 4 avg)
% 0.53/0.80 % Number of connectives : 347 ( 30 ~; 14 |; 43 &)
% 0.53/0.80 % ( 26 <=>; 234 =>; 0 <=; 0 <~>)
% 0.53/0.80 % Maximal formula depth : 22 ( 7 avg)
% 0.53/0.80 % Maximal term depth : 4 ( 1 avg)
% 0.53/0.80 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.53/0.80 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 0.53/0.80 % Number of variables : 213 ( 197 !; 16 ?)
% 0.53/0.80 % SPC : FOF_THM_RFO_SEQ
% 0.53/0.80
% 0.53/0.80 % Comments :
% 0.53/0.80 %--------------------------------------------------------------------------
% 0.53/0.80 %----Include list specification axioms
% 0.53/0.80 include('Axioms/SWC001+0.ax').
% 0.53/0.80 %--------------------------------------------------------------------------
% 0.53/0.80 fof(co1,conjecture,
% 0.53/0.80 ! [U] :
% 0.53/0.80 ( ssList(U)
% 0.53/0.80 => ! [V] :
% 0.53/0.80 ( ssList(V)
% 0.53/0.80 => ! [W] :
% 0.53/0.80 ( ssList(W)
% 0.53/0.80 => ! [X] :
% 0.53/0.80 ( ssList(X)
% 0.53/0.80 => ( V != X
% 0.53/0.80 | U != W
% 0.53/0.80 | ( ( ~ neq(V,nil)
% 0.53/0.80 | ? [Y] :
% 0.53/0.80 ( ssItem(Y)
% 0.53/0.80 & ? [Z] :
% 0.53/0.80 ( ssList(Z)
% 0.53/0.80 & ? [X1] :
% 0.53/0.80 ( ssList(X1)
% 0.53/0.80 & app(app(Z,cons(Y,nil)),X1) = V
% 0.53/0.80 & app(app(X1,cons(Y,nil)),Z) = U ) ) )
% 0.53/0.80 | ! [X2] :
% 0.53/0.80 ( ssItem(X2)
% 0.53/0.80 => ! [X3] :
% 0.53/0.80 ( ssList(X3)
% 0.53/0.80 => ! [X4] :
% 0.53/0.80 ( ssList(X4)
% 0.53/0.80 => ( app(app(X3,cons(X2,nil)),X4) != X
% 0.53/0.80 | app(app(X4,cons(X2,nil)),X3) != W ) ) ) ) )
% 0.53/0.80 & ( ~ neq(V,nil)
% 0.53/0.80 | neq(X,nil) ) ) ) ) ) ) ) ).
% 0.53/0.80
% 0.53/0.80 %--------------------------------------------------------------------------
% 0.53/0.80 %-------------------------------------------
% 0.53/0.80 % Proof found
% 0.53/0.80 % SZS status Theorem for theBenchmark
% 0.53/0.80 % SZS output start Proof
% 0.53/0.80 %ClaNum:296(EqnAxiom:88)
% 0.53/0.80 %VarNum:1017(SingletonVarNum:330)
% 0.53/0.80 %MaxLitNum:10
% 0.53/0.80 %MaxfuncDepth:4
% 0.53/0.80 %SharedTerms:40
% 0.53/0.80 %goalClause: 89 90 94 95 96 97 105 125 126 127 267 268 296
% 0.53/0.80 %singleGoalClaCount:7
% 0.53/0.80 [89]E(a1,a2)
% 0.53/0.80 [90]E(a46,a48)
% 0.53/0.80 [91]P1(a3)
% 0.53/0.80 [92]P1(a16)
% 0.53/0.80 [93]P15(a49)
% 0.53/0.80 [94]P15(a2)
% 0.53/0.80 [95]P15(a46)
% 0.53/0.80 [96]P15(a1)
% 0.53/0.80 [97]P15(a48)
% 0.53/0.80 [98]P2(a49)
% 0.53/0.80 [99]P16(a49)
% 0.53/0.80 [100]P17(a49)
% 0.53/0.80 [101]P19(a49)
% 0.53/0.80 [102]P18(a49)
% 0.53/0.80 [103]P3(a49)
% 0.53/0.80 [104]P4(a49)
% 0.53/0.80 [105]P5(a46,a49)
% 0.53/0.80 [106]~E(a16,a3)
% 0.53/0.80 [107]~P12(a49)
% 0.53/0.80 [125]P1(a50)+~P5(a48,a49)
% 0.53/0.80 [126]~P5(a48,a49)+P15(a51)
% 0.53/0.80 [127]~P5(a48,a49)+P15(a52)
% 0.53/0.80 [267]~P5(a48,a49)+E(f4(f4(a51,f6(a50,a49)),a52),a48)
% 0.53/0.80 [268]~P5(a48,a49)+E(f4(f4(a52,f6(a50,a49)),a51),a1)
% 0.53/0.80 [119]~P15(x1191)+P6(x1191,a49)
% 0.53/0.80 [120]~P15(x1201)+P13(x1201,a49)
% 0.53/0.80 [121]~P15(x1211)+P14(x1211,a49)
% 0.53/0.80 [128]~P15(x1281)+P6(x1281,x1281)
% 0.53/0.80 [129]~P15(x1291)+P13(x1291,x1291)
% 0.53/0.80 [130]~P15(x1301)+P14(x1301,x1301)
% 0.53/0.80 [131]~P1(x1311)+P7(x1311,x1311)
% 0.53/0.80 [132]~P1(x1321)+P8(x1321,x1321)
% 0.53/0.80 [172]~P1(x1721)+~P10(a49,x1721)
% 0.53/0.80 [177]~P11(x1771,x1771)+~P1(x1771)
% 0.53/0.80 [123]~P15(x1231)+E(f4(x1231,a49),x1231)
% 0.53/0.80 [124]~P15(x1241)+E(f4(a49,x1241),x1241)
% 0.53/0.80 [182]~P1(x1821)+P2(f6(x1821,a49))
% 0.53/0.80 [183]~P1(x1831)+P16(f6(x1831,a49))
% 0.53/0.80 [184]~P1(x1841)+P17(f6(x1841,a49))
% 0.53/0.80 [185]~P1(x1851)+P19(f6(x1851,a49))
% 0.53/0.80 [186]~P1(x1861)+P18(f6(x1861,a49))
% 0.53/0.80 [187]~P1(x1871)+P3(f6(x1871,a49))
% 0.53/0.80 [188]~P1(x1881)+P4(f6(x1881,a49))
% 0.53/0.80 [167]~P15(x1671)+~E(a49,x1671)+P6(a49,x1671)
% 0.53/0.81 [168]~P15(x1681)+~E(a49,x1681)+P13(a49,x1681)
% 0.53/0.81 [169]~P15(x1691)+~E(a49,x1691)+P14(a49,x1691)
% 0.53/0.81 [173]~P15(x1731)+~P6(a49,x1731)+E(a49,x1731)
% 0.53/0.81 [174]~P15(x1741)+~P13(a49,x1741)+E(a49,x1741)
% 0.53/0.81 [175]~P15(x1751)+~P14(a49,x1751)+E(a49,x1751)
% 0.53/0.81 [111]~P15(x1111)+E(f53(x1111),f27(x1111))+E(a49,x1111)
% 0.53/0.81 [112]~P15(x1121)+E(f59(x1121),f45(x1121))+E(a49,x1121)
% 0.53/0.81 [113]~P15(x1131)+E(a49,x1131)+P1(f53(x1131))
% 0.53/0.81 [114]~P15(x1141)+E(a49,x1141)+P1(f28(x1141))
% 0.53/0.81 [115]~P15(x1151)+E(a49,x1151)+P1(f27(x1151))
% 0.53/0.81 [116]~P15(x1161)+E(a49,x1161)+P15(f59(x1161))
% 0.53/0.81 [117]~P15(x1171)+E(a49,x1171)+P15(f29(x1171))
% 0.53/0.81 [118]~P15(x1181)+E(a49,x1181)+P15(f45(x1181))
% 0.53/0.81 [122]P3(x1221)+~P15(x1221)+E(f30(x1221),f36(x1221))
% 0.53/0.81 [133]~P15(x1331)+P2(x1331)+P1(f5(x1331))
% 0.53/0.81 [134]~P15(x1341)+P2(x1341)+P1(f7(x1341))
% 0.53/0.81 [135]~P15(x1351)+P2(x1351)+P15(f8(x1351))
% 0.53/0.81 [136]~P15(x1361)+P2(x1361)+P15(f9(x1361))
% 0.53/0.81 [137]~P15(x1371)+P2(x1371)+P15(f10(x1371))
% 0.53/0.81 [138]~P15(x1381)+P16(x1381)+P1(f11(x1381))
% 0.53/0.81 [139]~P15(x1391)+P16(x1391)+P1(f12(x1391))
% 0.53/0.81 [140]~P15(x1401)+P16(x1401)+P15(f13(x1401))
% 0.53/0.81 [141]~P15(x1411)+P16(x1411)+P15(f14(x1411))
% 0.53/0.81 [142]~P15(x1421)+P16(x1421)+P15(f15(x1421))
% 0.53/0.81 [143]~P15(x1431)+P17(x1431)+P1(f17(x1431))
% 0.53/0.81 [144]~P15(x1441)+P17(x1441)+P1(f18(x1441))
% 0.53/0.81 [145]~P15(x1451)+P17(x1451)+P15(f19(x1451))
% 0.53/0.81 [146]~P15(x1461)+P17(x1461)+P15(f20(x1461))
% 0.53/0.81 [147]~P15(x1471)+P17(x1471)+P15(f21(x1471))
% 0.53/0.81 [148]~P15(x1481)+P19(x1481)+P1(f22(x1481))
% 0.53/0.81 [149]~P15(x1491)+P19(x1491)+P1(f23(x1491))
% 0.53/0.81 [150]~P15(x1501)+P19(x1501)+P15(f24(x1501))
% 0.53/0.81 [151]~P15(x1511)+P19(x1511)+P15(f25(x1511))
% 0.53/0.81 [152]~P15(x1521)+P19(x1521)+P15(f26(x1521))
% 0.53/0.81 [153]~P15(x1531)+P18(x1531)+P1(f31(x1531))
% 0.53/0.81 [154]~P15(x1541)+P18(x1541)+P1(f32(x1541))
% 0.53/0.81 [155]~P15(x1551)+P18(x1551)+P15(f33(x1551))
% 0.53/0.81 [156]~P15(x1561)+P18(x1561)+P15(f34(x1561))
% 0.53/0.81 [157]~P15(x1571)+P18(x1571)+P15(f35(x1571))
% 0.53/0.81 [158]~P15(x1581)+P3(x1581)+P1(f30(x1581))
% 0.53/0.81 [159]~P15(x1591)+P3(x1591)+P1(f36(x1591))
% 0.53/0.81 [160]~P15(x1601)+P3(x1601)+P15(f37(x1601))
% 0.53/0.81 [161]~P15(x1611)+P3(x1611)+P15(f38(x1611))
% 0.53/0.81 [162]~P15(x1621)+P3(x1621)+P15(f39(x1621))
% 0.53/0.81 [163]~P15(x1631)+P4(x1631)+P1(f40(x1631))
% 0.53/0.81 [164]~P15(x1641)+P4(x1641)+P1(f42(x1641))
% 0.53/0.81 [165]~P15(x1651)+P4(x1651)+P15(f43(x1651))
% 0.53/0.81 [166]~P15(x1661)+P4(x1661)+P15(f44(x1661))
% 0.53/0.81 [170]~P15(x1701)+P4(x1701)+~E(f42(x1701),f40(x1701))
% 0.53/0.81 [171]~P15(x1711)+~P12(x1711)+P1(f54(x1711))
% 0.53/0.81 [193]~P15(x1931)+P2(x1931)+P7(f5(x1931),f7(x1931))
% 0.53/0.81 [194]~P15(x1941)+P2(x1941)+P7(f7(x1941),f5(x1941))
% 0.53/0.81 [214]~P15(x2141)+P16(x2141)+~P7(f11(x2141),f12(x2141))
% 0.53/0.81 [215]~P15(x2151)+P16(x2151)+~P7(f12(x2151),f11(x2151))
% 0.53/0.81 [216]~P15(x2161)+P17(x2161)+~P11(f17(x2161),f18(x2161))
% 0.53/0.81 [217]~P15(x2171)+P17(x2171)+~P11(f18(x2171),f17(x2171))
% 0.53/0.81 [218]~P15(x2181)+P19(x2181)+~P7(f22(x2181),f23(x2181))
% 0.53/0.81 [219]~P15(x2191)+P18(x2191)+~P11(f31(x2191),f32(x2191))
% 0.53/0.81 [181]~P15(x1811)+~P12(x1811)+E(f6(f54(x1811),a49),x1811)
% 0.53/0.81 [189]~P15(x1891)+E(a49,x1891)+E(f6(f53(x1891),f59(x1891)),x1891)
% 0.53/0.81 [190]~P15(x1901)+E(a49,x1901)+E(f6(f28(x1901),f29(x1901)),x1901)
% 0.53/0.81 [283]P2(x2831)+~P15(x2831)+E(f4(f4(f8(x2831),f6(f5(x2831),f9(x2831))),f6(f7(x2831),f10(x2831))),x2831)
% 0.53/0.81 [284]P16(x2841)+~P15(x2841)+E(f4(f4(f13(x2841),f6(f11(x2841),f14(x2841))),f6(f12(x2841),f15(x2841))),x2841)
% 0.53/0.81 [285]P17(x2851)+~P15(x2851)+E(f4(f4(f19(x2851),f6(f17(x2851),f20(x2851))),f6(f18(x2851),f21(x2851))),x2851)
% 0.53/0.81 [286]P19(x2861)+~P15(x2861)+E(f4(f4(f24(x2861),f6(f22(x2861),f25(x2861))),f6(f23(x2861),f26(x2861))),x2861)
% 0.53/0.81 [287]P18(x2871)+~P15(x2871)+E(f4(f4(f33(x2871),f6(f31(x2871),f34(x2871))),f6(f32(x2871),f35(x2871))),x2871)
% 0.53/0.81 [288]P3(x2881)+~P15(x2881)+E(f4(f4(f37(x2881),f6(f30(x2881),f38(x2881))),f6(f36(x2881),f39(x2881))),x2881)
% 0.53/0.81 [281]P4(x2811)+~P15(x2811)+E(f4(f43(x2811),f6(f40(x2811),f6(f42(x2811),f44(x2811)))),x2811)
% 0.53/0.81 [191]~P1(x1911)+~P15(x1912)+~E(f6(x1911,x1912),a49)
% 0.53/0.81 [192]~P1(x1921)+~P15(x1922)+~E(f6(x1921,x1922),x1922)
% 0.53/0.81 [201]~P1(x2011)+~P15(x2012)+P15(f6(x2011,x2012))
% 0.53/0.81 [202]~P15(x2022)+~P15(x2021)+P15(f4(x2021,x2022))
% 0.53/0.81 [203]~P1(x2031)+~P15(x2032)+E(f53(f6(x2031,x2032)),x2031)
% 0.53/0.81 [204]~P1(x2041)+~P15(x2042)+E(f59(f6(x2041,x2042)),x2042)
% 0.53/0.81 [231]~P1(x2311)+~P15(x2312)+E(f4(f6(x2311,a49),x2312),f6(x2311,x2312))
% 0.53/0.81 [178]P5(x1781,x1782)+~P1(x1782)+~P1(x1781)+E(x1781,x1782)
% 0.53/0.81 [179]P5(x1791,x1792)+~P15(x1792)+~P15(x1791)+E(x1791,x1792)
% 0.53/0.81 [198]~P1(x1982)+~P1(x1981)+~P5(x1981,x1982)+~E(x1981,x1982)
% 0.53/0.81 [199]~P1(x1992)+~P1(x1991)+~P11(x1991,x1992)+~E(x1991,x1992)
% 0.53/0.81 [200]~P15(x2002)+~P15(x2001)+~P5(x2001,x2002)+~E(x2001,x2002)
% 0.53/0.81 [209]~P1(x2091)+~P1(x2092)+~P8(x2092,x2091)+P7(x2091,x2092)
% 0.53/0.81 [210]~P1(x2102)+~P1(x2101)+~P11(x2101,x2102)+P7(x2101,x2102)
% 0.53/0.81 [211]~P1(x2111)+~P1(x2112)+~P9(x2112,x2111)+P11(x2111,x2112)
% 0.53/0.81 [212]~P1(x2121)+~P1(x2122)+~P7(x2122,x2121)+P8(x2121,x2122)
% 0.53/0.81 [213]~P1(x2131)+~P1(x2132)+~P11(x2132,x2131)+P9(x2131,x2132)
% 0.53/0.81 [222]~P11(x2221,x2222)+~P11(x2222,x2221)+~P1(x2221)+~P1(x2222)
% 0.53/0.81 [223]~P9(x2231,x2232)+~P9(x2232,x2231)+~P1(x2231)+~P1(x2232)
% 0.53/0.81 [195]~P15(x1952)+~P15(x1951)+E(a49,x1951)+~E(f4(x1952,x1951),a49)
% 0.53/0.81 [196]~P15(x1962)+~P15(x1961)+E(a49,x1961)+~E(f4(x1961,x1962),a49)
% 0.53/0.81 [197]~P1(x1972)+~P15(x1971)+P12(x1971)+~E(f6(x1972,a49),x1971)
% 0.53/0.81 [206]~P1(x2061)+~P15(x2062)+~E(a49,x2062)+P19(f6(x2061,x2062))
% 0.53/0.81 [207]~P1(x2071)+~P15(x2072)+~E(a49,x2072)+P18(f6(x2071,x2072))
% 0.53/0.81 [234]~P1(x2342)+~P15(x2341)+~P10(x2341,x2342)+P15(f41(x2341,x2342))
% 0.53/0.81 [235]~P1(x2352)+~P15(x2351)+~P10(x2351,x2352)+P15(f47(x2351,x2352))
% 0.53/0.81 [236]~P15(x2362)+~P15(x2361)+~P6(x2361,x2362)+P15(f55(x2361,x2362))
% 0.53/0.81 [237]~P15(x2372)+~P15(x2371)+~P13(x2371,x2372)+P15(f56(x2371,x2372))
% 0.53/0.81 [238]~P15(x2382)+~P15(x2381)+~P14(x2381,x2382)+P15(f57(x2381,x2382))
% 0.53/0.81 [239]~P15(x2392)+~P15(x2391)+~P14(x2391,x2392)+P15(f58(x2391,x2392))
% 0.53/0.81 [208]~P15(x2082)+~P15(x2081)+E(a49,x2081)+E(f53(f4(x2081,x2082)),f53(x2081))
% 0.53/0.81 [233]~P15(x2332)+~P15(x2331)+E(a49,x2331)+E(f59(f4(x2331,x2332)),f4(f59(x2331),x2332))
% 0.53/0.81 [246]~P15(x2462)+~P15(x2461)+~P6(x2462,x2461)+E(f4(x2461,f55(x2462,x2461)),x2462)
% 0.53/0.81 [247]~P15(x2472)+~P15(x2471)+~P13(x2471,x2472)+E(f4(f56(x2471,x2472),x2472),x2471)
% 0.53/0.81 [280]~P15(x2802)+~P15(x2801)+~P14(x2801,x2802)+E(f4(f4(f57(x2801,x2802),x2802),f58(x2801,x2802)),x2801)
% 0.53/0.81 [279]~P1(x2792)+~P15(x2791)+~P10(x2791,x2792)+E(f4(f41(x2791,x2792),f6(x2792,f47(x2791,x2792))),x2791)
% 0.53/0.81 [269]~P1(x2691)+~P15(x2692)+~P15(x2693)+E(f4(f6(x2691,x2692),x2693),f6(x2691,f4(x2692,x2693)))
% 0.53/0.81 [270]~P15(x2703)+~P15(x2702)+~P15(x2701)+E(f4(f4(x2701,x2702),x2703),f4(x2701,f4(x2702,x2703)))
% 0.53/0.81 [221]P11(x2211,x2212)+~P1(x2212)+~P1(x2211)+~P7(x2211,x2212)+E(x2211,x2212)
% 0.53/0.81 [226]~P1(x2262)+~P1(x2261)+~P7(x2262,x2261)+~P7(x2261,x2262)+E(x2261,x2262)
% 0.53/0.81 [227]~P1(x2272)+~P1(x2271)+~P8(x2272,x2271)+~P8(x2271,x2272)+E(x2271,x2272)
% 0.53/0.81 [228]~P15(x2282)+~P15(x2281)+~P6(x2282,x2281)+~P6(x2281,x2282)+E(x2281,x2282)
% 0.53/0.81 [229]~P15(x2292)+~P15(x2291)+~P13(x2292,x2291)+~P13(x2291,x2292)+E(x2291,x2292)
% 0.53/0.81 [230]~P15(x2302)+~P15(x2301)+~P14(x2302,x2301)+~P14(x2301,x2302)+E(x2301,x2302)
% 0.53/0.81 [180]~P15(x1801)+~P15(x1802)+~E(a49,x1801)+~E(a49,x1802)+E(f4(x1801,x1802),a49)
% 0.53/0.81 [242]P19(x2421)+~P15(x2421)+~P1(x2422)+E(a49,x2421)+~P19(f6(x2422,x2421))
% 0.53/0.81 [243]P18(x2431)+~P15(x2431)+~P1(x2432)+E(a49,x2431)+~P18(f6(x2432,x2431))
% 0.53/0.81 [256]~P1(x2562)+~P15(x2561)+E(a49,x2561)+P7(x2562,f53(x2561))+~P19(f6(x2562,x2561))
% 0.53/0.81 [257]~P1(x2572)+~P15(x2571)+E(a49,x2571)+P11(x2572,f53(x2571))+~P18(f6(x2572,x2571))
% 0.53/0.81 [224]~P15(x2241)+~P15(x2242)+~P15(x2243)+P6(x2241,x2242)+~E(f4(x2242,x2243),x2241)
% 0.53/0.81 [225]~P15(x2251)+~P15(x2252)+~P15(x2253)+P13(x2251,x2252)+~E(f4(x2253,x2252),x2251)
% 0.53/0.81 [232]~E(x2323,x2321)+~P1(x2321)+~P1(x2323)+~P15(x2322)+P10(f6(x2321,x2322),x2323)
% 0.53/0.81 [240]~P15(x2402)+~P15(x2403)+~P15(x2401)+E(x2401,x2402)+~E(f4(x2403,x2401),f4(x2403,x2402))
% 0.53/0.81 [241]~P15(x2412)+~P15(x2413)+~P15(x2411)+E(x2411,x2412)+~E(f4(x2411,x2413),f4(x2412,x2413))
% 0.53/0.81 [258]~P1(x2581)+~P1(x2583)+~P15(x2582)+~P10(x2582,x2583)+P10(f6(x2581,x2582),x2583)
% 0.53/0.81 [259]~P1(x2593)+~P15(x2591)+~P15(x2592)+~P10(x2592,x2593)+P10(f4(x2591,x2592),x2593)
% 0.53/0.81 [260]~P1(x2603)+~P15(x2602)+~P15(x2601)+~P10(x2601,x2603)+P10(f4(x2601,x2602),x2603)
% 0.53/0.81 [261]~P15(x2612)+~P15(x2613)+~P15(x2611)+~P6(x2611,x2613)+P6(f4(x2611,x2612),x2613)
% 0.53/0.81 [262]~P15(x2621)+~P15(x2623)+~P15(x2622)+~P13(x2622,x2623)+P13(f4(x2621,x2622),x2623)
% 0.53/0.81 [263]~P1(x2632)+~P15(x2631)+~P19(x2631)+~P7(x2632,f53(x2631))+E(a49,x2631)+P19(f6(x2632,x2631))
% 0.53/0.81 [264]~P1(x2642)+~P15(x2641)+~P18(x2641)+~P11(x2642,f53(x2641))+E(a49,x2641)+P18(f6(x2642,x2641))
% 0.53/0.81 [248]~P15(x2482)+~P15(x2481)+~P6(x2483,x2482)+~P6(x2481,x2483)+P6(x2481,x2482)+~P15(x2483)
% 0.53/0.81 [249]~P15(x2492)+~P15(x2491)+~P13(x2493,x2492)+~P13(x2491,x2493)+P13(x2491,x2492)+~P15(x2493)
% 0.53/0.81 [250]~P15(x2502)+~P15(x2501)+~P14(x2503,x2502)+~P14(x2501,x2503)+P14(x2501,x2502)+~P15(x2503)
% 0.53/0.81 [251]~P1(x2512)+~P1(x2511)+~P7(x2513,x2512)+~P7(x2511,x2513)+P7(x2511,x2512)+~P1(x2513)
% 0.53/0.81 [252]~P1(x2522)+~P1(x2521)+~P7(x2521,x2523)+~P11(x2523,x2522)+P11(x2521,x2522)+~P1(x2523)
% 0.53/0.81 [253]~P1(x2532)+~P1(x2531)+~P11(x2533,x2532)+~P11(x2531,x2533)+P11(x2531,x2532)+~P1(x2533)
% 0.53/0.81 [254]~P1(x2542)+~P1(x2541)+~P8(x2543,x2542)+~P8(x2541,x2543)+P8(x2541,x2542)+~P1(x2543)
% 0.53/0.81 [255]~P1(x2552)+~P1(x2551)+~P9(x2553,x2552)+~P9(x2551,x2553)+P9(x2551,x2552)+~P1(x2553)
% 0.53/0.81 [271]~P1(x2712)+~P1(x2711)+~P15(x2713)+E(x2711,x2712)+P10(x2713,x2712)+~P10(f6(x2711,x2713),x2712)
% 0.53/0.81 [274]~P1(x2742)+~P15(x2741)+~P15(x2743)+P10(x2741,x2742)+P10(x2743,x2742)+~P10(f4(x2743,x2741),x2742)
% 0.53/0.81 [296]~P1(x2962)+~P15(x2961)+~P15(x2963)+~P5(a48,a49)+~E(f4(f4(x2963,f6(x2962,a49)),x2961),a46)+~E(f4(f4(x2961,f6(x2962,a49)),x2963),a2)
% 0.53/0.81 [244]~P1(x2444)+~P1(x2443)+~P15(x2442)+~P15(x2441)+E(x2441,x2442)+~E(f6(x2443,x2442),f6(x2444,x2441))
% 0.53/0.81 [245]~P1(x2452)+~P1(x2451)+~P15(x2454)+~P15(x2453)+E(x2451,x2452)+~E(f6(x2451,x2453),f6(x2452,x2454))
% 0.53/0.81 [276]~P1(x2762)+~P1(x2761)+E(x2761,x2762)+~P15(x2763)+~P15(x2764)+~P6(f6(x2761,x2764),f6(x2762,x2763))
% 0.53/0.81 [278]~P15(x2782)+~P15(x2781)+P6(x2781,x2782)+~P1(x2783)+~P1(x2784)+~P6(f6(x2784,x2781),f6(x2783,x2782))
% 0.53/0.81 [272]~P1(x2722)+~P15(x2721)+~P15(x2724)+~P15(x2723)+P10(x2721,x2722)+~E(f4(x2723,f6(x2722,x2724)),x2721)
% 0.53/0.81 [273]~P15(x2731)+~P15(x2732)+~P15(x2734)+~P15(x2733)+P14(x2731,x2732)+~E(f4(f4(x2733,x2732),x2734),x2731)
% 0.53/0.81 [277]~P15(x2773)+~P15(x2771)+~P15(x2774)+~P15(x2772)+~P14(x2772,x2774)+P14(f4(f4(x2771,x2772),x2773),x2774)
% 0.53/0.81 [205]~P15(x2052)+~P15(x2051)+E(x2051,x2052)+E(a49,x2052)+E(a49,x2051)+~E(f53(x2051),f53(x2052))+~E(f59(x2051),f59(x2052))
% 0.53/0.81 [275]~E(x2751,x2753)+~P1(x2753)+~P1(x2751)+~P15(x2754)+~P15(x2752)+~P6(x2752,x2754)+P6(f6(x2751,x2752),f6(x2753,x2754))
% 0.53/0.81 [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)
% 0.53/0.81 [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)
% 0.53/0.81 [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)
% 0.53/0.81 [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)
% 0.53/0.81 [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)
% 0.53/0.81 [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)
% 0.53/0.81 [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)
% 0.53/0.81 %EqnAxiom
% 0.53/0.81 [1]E(x11,x11)
% 0.53/0.81 [2]E(x22,x21)+~E(x21,x22)
% 0.53/0.81 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.53/0.81 [4]~E(x41,x42)+E(f53(x41),f53(x42))
% 0.53/0.81 [5]~E(x51,x52)+E(f27(x51),f27(x52))
% 0.53/0.81 [6]~E(x61,x62)+E(f59(x61),f59(x62))
% 0.53/0.81 [7]~E(x71,x72)+E(f45(x71),f45(x72))
% 0.53/0.81 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 0.53/0.81 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 0.53/0.81 [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 0.53/0.81 [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 0.53/0.81 [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 0.53/0.81 [13]~E(x131,x132)+E(f43(x131),f43(x132))
% 0.53/0.81 [14]~E(x141,x142)+E(f29(x141),f29(x142))
% 0.53/0.81 [15]~E(x151,x152)+E(f42(x151),f42(x152))
% 0.53/0.81 [16]~E(x161,x162)+E(f30(x161),f30(x162))
% 0.53/0.81 [17]~E(x171,x172)+E(f36(x171),f36(x172))
% 0.53/0.81 [18]~E(x181,x182)+E(f58(x181,x183),f58(x182,x183))
% 0.53/0.81 [19]~E(x191,x192)+E(f58(x193,x191),f58(x193,x192))
% 0.53/0.81 [20]~E(x201,x202)+E(f44(x201),f44(x202))
% 0.53/0.81 [21]~E(x211,x212)+E(f5(x211),f5(x212))
% 0.53/0.81 [22]~E(x221,x222)+E(f7(x221),f7(x222))
% 0.53/0.81 [23]~E(x231,x232)+E(f8(x231),f8(x232))
% 0.53/0.81 [24]~E(x241,x242)+E(f9(x241),f9(x242))
% 0.53/0.81 [25]~E(x251,x252)+E(f10(x251),f10(x252))
% 0.53/0.81 [26]~E(x261,x262)+E(f11(x261),f11(x262))
% 0.53/0.81 [27]~E(x271,x272)+E(f12(x271),f12(x272))
% 0.53/0.81 [28]~E(x281,x282)+E(f13(x281),f13(x282))
% 0.53/0.81 [29]~E(x291,x292)+E(f14(x291),f14(x292))
% 0.53/0.81 [30]~E(x301,x302)+E(f15(x301),f15(x302))
% 0.53/0.81 [31]~E(x311,x312)+E(f17(x311),f17(x312))
% 0.53/0.81 [32]~E(x321,x322)+E(f18(x321),f18(x322))
% 0.53/0.81 [33]~E(x331,x332)+E(f19(x331),f19(x332))
% 0.53/0.81 [34]~E(x341,x342)+E(f20(x341),f20(x342))
% 0.53/0.81 [35]~E(x351,x352)+E(f21(x351),f21(x352))
% 0.53/0.81 [36]~E(x361,x362)+E(f22(x361),f22(x362))
% 0.53/0.81 [37]~E(x371,x372)+E(f23(x371),f23(x372))
% 0.53/0.81 [38]~E(x381,x382)+E(f24(x381),f24(x382))
% 0.53/0.81 [39]~E(x391,x392)+E(f25(x391),f25(x392))
% 0.53/0.81 [40]~E(x401,x402)+E(f26(x401),f26(x402))
% 0.53/0.81 [41]~E(x411,x412)+E(f31(x411),f31(x412))
% 0.53/0.81 [42]~E(x421,x422)+E(f32(x421),f32(x422))
% 0.53/0.81 [43]~E(x431,x432)+E(f33(x431),f33(x432))
% 0.53/0.81 [44]~E(x441,x442)+E(f34(x441),f34(x442))
% 0.53/0.81 [45]~E(x451,x452)+E(f35(x451),f35(x452))
% 0.53/0.81 [46]~E(x461,x462)+E(f39(x461),f39(x462))
% 0.53/0.81 [47]~E(x471,x472)+E(f56(x471,x473),f56(x472,x473))
% 0.53/0.81 [48]~E(x481,x482)+E(f56(x483,x481),f56(x483,x482))
% 0.53/0.81 [49]~E(x491,x492)+E(f37(x491),f37(x492))
% 0.53/0.81 [50]~E(x501,x502)+E(f38(x501),f38(x502))
% 0.53/0.81 [51]~E(x511,x512)+E(f40(x511),f40(x512))
% 0.53/0.81 [52]~E(x521,x522)+E(f55(x521,x523),f55(x522,x523))
% 0.53/0.81 [53]~E(x531,x532)+E(f55(x533,x531),f55(x533,x532))
% 0.53/0.81 [54]~E(x541,x542)+E(f41(x541,x543),f41(x542,x543))
% 0.53/0.81 [55]~E(x551,x552)+E(f41(x553,x551),f41(x553,x552))
% 0.53/0.81 [56]~E(x561,x562)+E(f57(x561,x563),f57(x562,x563))
% 0.53/0.81 [57]~E(x571,x572)+E(f57(x573,x571),f57(x573,x572))
% 0.53/0.81 [58]~E(x581,x582)+E(f47(x581,x583),f47(x582,x583))
% 0.53/0.81 [59]~E(x591,x592)+E(f47(x593,x591),f47(x593,x592))
% 0.53/0.81 [60]~E(x601,x602)+E(f54(x601),f54(x602))
% 0.53/0.81 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 0.53/0.81 [62]P5(x622,x623)+~E(x621,x622)+~P5(x621,x623)
% 0.53/0.81 [63]P5(x633,x632)+~E(x631,x632)+~P5(x633,x631)
% 0.53/0.81 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 0.53/0.81 [65]P13(x652,x653)+~E(x651,x652)+~P13(x651,x653)
% 0.53/0.81 [66]P13(x663,x662)+~E(x661,x662)+~P13(x663,x661)
% 0.53/0.81 [67]~P2(x671)+P2(x672)+~E(x671,x672)
% 0.53/0.81 [68]P6(x682,x683)+~E(x681,x682)+~P6(x681,x683)
% 0.53/0.81 [69]P6(x693,x692)+~E(x691,x692)+~P6(x693,x691)
% 0.53/0.81 [70]~P3(x701)+P3(x702)+~E(x701,x702)
% 0.53/0.81 [71]~P19(x711)+P19(x712)+~E(x711,x712)
% 0.53/0.81 [72]~P16(x721)+P16(x722)+~E(x721,x722)
% 0.53/0.81 [73]~P17(x731)+P17(x732)+~E(x731,x732)
% 0.53/0.81 [74]~P18(x741)+P18(x742)+~E(x741,x742)
% 0.53/0.81 [75]P11(x752,x753)+~E(x751,x752)+~P11(x751,x753)
% 0.53/0.81 [76]P11(x763,x762)+~E(x761,x762)+~P11(x763,x761)
% 0.53/0.81 [77]P8(x772,x773)+~E(x771,x772)+~P8(x771,x773)
% 0.53/0.81 [78]P8(x783,x782)+~E(x781,x782)+~P8(x783,x781)
% 0.53/0.81 [79]~P4(x791)+P4(x792)+~E(x791,x792)
% 0.53/0.81 [80]P10(x802,x803)+~E(x801,x802)+~P10(x801,x803)
% 0.53/0.81 [81]P10(x813,x812)+~E(x811,x812)+~P10(x813,x811)
% 0.53/0.81 [82]~P12(x821)+P12(x822)+~E(x821,x822)
% 0.53/0.81 [83]P14(x832,x833)+~E(x831,x832)+~P14(x831,x833)
% 0.53/0.81 [84]P14(x843,x842)+~E(x841,x842)+~P14(x843,x841)
% 0.53/0.81 [85]P7(x852,x853)+~E(x851,x852)+~P7(x851,x853)
% 0.53/0.81 [86]P7(x863,x862)+~E(x861,x862)+~P7(x863,x861)
% 0.53/0.81 [87]P9(x872,x873)+~E(x871,x872)+~P9(x871,x873)
% 0.53/0.81 [88]P9(x883,x882)+~E(x881,x882)+~P9(x883,x881)
% 0.53/0.81
% 0.53/0.81 %-------------------------------------------
% 0.53/0.82 cnf(301,plain,
% 0.53/0.82 (~P5(x3011,x3011)+~P1(x3011)+~P1(x3011)),
% 0.53/0.82 inference(equality_inference,[],[198])).
% 0.53/0.82 cnf(303,plain,
% 0.53/0.82 (~P5(x3031,x3031)+~P15(x3031)+~P15(x3031)),
% 0.53/0.82 inference(equality_inference,[],[200])).
% 0.53/0.82 cnf(329,plain,
% 0.53/0.82 (P5(a48,a49)),
% 0.53/0.82 inference(scs_inference,[],[89,90,94,105,91,2,177,301,303,62])).
% 0.53/0.82 cnf(336,plain,
% 0.53/0.82 (P1(a50)),
% 0.53/0.82 inference(scs_inference,[],[329,125])).
% 0.53/0.82 cnf(337,plain,
% 0.53/0.82 (P15(a51)),
% 0.53/0.82 inference(scs_inference,[],[329,126])).
% 0.53/0.82 cnf(338,plain,
% 0.53/0.82 (P15(a52)),
% 0.53/0.82 inference(scs_inference,[],[329,127])).
% 0.53/0.82 cnf(339,plain,
% 0.53/0.82 (E(f4(f4(a51,f6(a50,a49)),a52),a48)),
% 0.53/0.82 inference(scs_inference,[],[329,267])).
% 0.53/0.82 cnf(340,plain,
% 0.53/0.82 (E(f4(f4(a52,f6(a50,a49)),a51),a1)),
% 0.53/0.82 inference(scs_inference,[],[329,268])).
% 0.53/0.82 cnf(341,plain,
% 0.53/0.82 (~P1(x3411)+~P15(x3412)+~P15(x3413)+~E(f4(f4(x3412,f6(x3411,a49)),x3413),a2)+~E(f4(f4(x3413,f6(x3411,a49)),x3412),a46)),
% 0.53/0.82 inference(scs_inference,[],[329,296])).
% 0.53/0.82 cnf(344,plain,
% 0.53/0.82 (E(a48,a46)),
% 0.53/0.82 inference(scs_inference,[],[90,92,177,2])).
% 0.53/0.82 cnf(366,plain,
% 0.53/0.82 (E(f4(f4(a52,f6(a50,a49)),a51),a2)),
% 0.53/0.82 inference(scs_inference,[],[89,105,340,95,96,336,177,2,64,301,303,63,3])).
% 0.53/0.82 cnf(367,plain,
% 0.53/0.82 (~E(f4(f4(a51,f6(a50,a49)),a52),a46)),
% 0.53/0.82 inference(scs_inference,[],[89,105,340,95,96,336,337,338,177,2,64,301,303,63,3,341])).
% 0.53/0.82 cnf(378,plain,
% 0.53/0.82 (P15(f4(f4(a51,f6(a50,a49)),a52))),
% 0.53/0.82 inference(scs_inference,[],[339,97,2,303,64])).
% 0.53/0.82 cnf(390,plain,
% 0.53/0.82 ($false),
% 0.53/0.82 inference(scs_inference,[],[367,339,366,378,344,2,303,3]),
% 0.53/0.82 ['proof']).
% 0.53/0.82 % SZS output end Proof
% 0.53/0.82 % Total time :0.050000s
%------------------------------------------------------------------------------