%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC040+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 : n015.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 16:13:42 EDT 2024
% Result : Theorem 0.72s 0.80s
% Output : CNFRefutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC040+1 : TPTP v8.2.0. Released v2.4.0.
% 0.10/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n015.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 02:41:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.72/0.79 %-------------------------------------------
% 0.72/0.79 % File :CSE---1.7
% 0.72/0.79 % Problem :theBenchmark
% 0.72/0.79 % Transform :cnf
% 0.72/0.79 % Format :tptp:raw
% 0.72/0.79 % Command :java -jar mcs_scs.jar %d %s
% 0.72/0.79
% 0.72/0.79 % Result :Theorem 0.110000s
% 0.72/0.79 % Output :CNFRefutation 0.110000s
% 0.72/0.79 %-------------------------------------------
% 0.72/0.80 %--------------------------------------------------------------------------
% 0.72/0.80 % File : SWC040+1 : TPTP v8.2.0. Released v2.4.0.
% 0.72/0.80 % Domain : Software Creation
% 0.72/0.80 % Problem : cond_id_nil_x_rot_r_total2
% 0.72/0.80 % Version : [Wei00] axioms.
% 0.72/0.80 % English : Find components in a software library that match a given target
% 0.72/0.80 % specification given in first-order logic. The components are
% 0.72/0.80 % specified in first-order logic as well. The problem represents
% 0.72/0.80 % a test of one library module specification against a target
% 0.72/0.80 % specification.
% 0.72/0.80
% 0.72/0.80 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.72/0.80 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.72/0.80 % Source : [Wei00]
% 0.72/0.80 % Names : cond_id_nil_x_rot_r_total2 [Wei00]
% 0.72/0.80
% 0.72/0.80 % Status : Theorem
% 0.72/0.80 % Rating : 0.08 v8.2.0, 0.06 v7.4.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.08 v6.3.0, 0.04 v6.2.0, 0.12 v6.1.0, 0.10 v6.0.0, 0.04 v5.3.0, 0.11 v5.2.0, 0.10 v5.0.0, 0.04 v4.0.1, 0.09 v4.0.0, 0.12 v3.7.0, 0.05 v3.4.0, 0.16 v3.3.0, 0.07 v3.2.0, 0.09 v3.1.0, 0.11 v2.7.0, 0.17 v2.5.0, 0.00 v2.4.0
% 0.72/0.80 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 0.72/0.80 % Number of atoms : 409 ( 79 equ)
% 0.72/0.80 % Maximal formula atoms : 15 ( 4 avg)
% 0.72/0.80 % Number of connectives : 343 ( 30 ~; 14 |; 40 &)
% 0.72/0.80 % ( 26 <=>; 233 =>; 0 <=; 0 <~>)
% 0.72/0.80 % Maximal formula depth : 21 ( 7 avg)
% 0.72/0.80 % Maximal term depth : 4 ( 1 avg)
% 0.72/0.80 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.72/0.80 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 0.72/0.80 % Number of variables : 209 ( 196 !; 13 ?)
% 0.72/0.80 % SPC : FOF_THM_RFO_SEQ
% 0.72/0.80
% 0.72/0.80 % Comments :
% 0.72/0.80 %--------------------------------------------------------------------------
% 0.72/0.80 %----Include list specification axioms
% 0.72/0.80 include('Axioms/SWC001+0.ax').
% 0.72/0.80 %--------------------------------------------------------------------------
% 0.72/0.80 fof(co1,conjecture,
% 0.72/0.80 ! [U] :
% 0.72/0.80 ( ssList(U)
% 0.72/0.80 => ! [V] :
% 0.72/0.80 ( ssList(V)
% 0.72/0.80 => ! [W] :
% 0.72/0.80 ( ssList(W)
% 0.72/0.80 => ! [X] :
% 0.72/0.80 ( ssList(X)
% 0.72/0.80 => ( nil != V
% 0.72/0.80 | V != X
% 0.72/0.80 | U != W
% 0.72/0.80 | nil = U
% 0.72/0.80 | ( nil != W
% 0.72/0.80 & nil = X )
% 0.72/0.80 | ( ! [Y] :
% 0.72/0.80 ( ssItem(Y)
% 0.72/0.80 => ! [Z] :
% 0.72/0.80 ( ssList(Z)
% 0.72/0.80 => ( app(cons(Y,nil),Z) != W
% 0.72/0.80 | app(Z,cons(Y,nil)) != X ) ) )
% 0.72/0.80 & neq(X,nil) ) ) ) ) ) ) ).
% 0.72/0.80
% 0.72/0.80 %--------------------------------------------------------------------------
% 0.72/0.80 %-------------------------------------------
% 0.72/0.80 % Proof found
% 0.72/0.80 % SZS status Theorem for theBenchmark
% 0.72/0.80 % SZS output start Proof
% 0.72/0.80 %ClaNum:289(EqnAxiom:88)
% 0.72/0.80 %VarNum:1008(SingletonVarNum:327)
% 0.72/0.80 %MaxLitNum:10
% 0.72/0.80 %MaxfuncDepth:4
% 0.72/0.80 %SharedTerms:39
% 0.72/0.80 %goalClause: 89 90 91 95 96 97 98 107 109 124 125 206 207
% 0.72/0.80 %singleGoalClaCount:8
% 0.72/0.80 [89]E(a1,a46)
% 0.72/0.80 [90]E(a2,a47)
% 0.72/0.80 [91]E(a1,a49)
% 0.72/0.80 [92]P1(a3)
% 0.72/0.80 [93]P1(a16)
% 0.72/0.80 [94]P15(a46)
% 0.72/0.80 [95]P15(a2)
% 0.72/0.80 [96]P15(a1)
% 0.72/0.80 [97]P15(a47)
% 0.72/0.80 [98]P15(a49)
% 0.72/0.80 [99]P2(a46)
% 0.72/0.80 [100]P16(a46)
% 0.72/0.80 [101]P17(a46)
% 0.72/0.80 [102]P19(a46)
% 0.72/0.80 [103]P18(a46)
% 0.72/0.80 [104]P3(a46)
% 0.72/0.80 [105]P4(a46)
% 0.72/0.80 [106]~E(a16,a3)
% 0.72/0.80 [107]~E(a2,a46)
% 0.72/0.80 [108]~P5(a46)
% 0.72/0.80 [109]E(a47,a46)+~E(a49,a46)
% 0.72/0.80 [124]P1(a51)+~P8(a49,a46)
% 0.72/0.80 [125]~P8(a49,a46)+P15(a52)
% 0.72/0.80 [206]~P8(a49,a46)+E(f4(a52,f6(a51,a46)),a49)
% 0.72/0.80 [207]~P8(a49,a46)+E(f4(f6(a51,a46),a52),a47)
% 0.72/0.80 [118]~P15(x1181)+P6(x1181,a46)
% 0.72/0.80 [119]~P15(x1191)+P7(x1191,a46)
% 0.72/0.80 [120]~P15(x1201)+P14(x1201,a46)
% 0.72/0.80 [126]~P15(x1261)+P6(x1261,x1261)
% 0.72/0.80 [127]~P15(x1271)+P7(x1271,x1271)
% 0.72/0.80 [128]~P15(x1281)+P14(x1281,x1281)
% 0.72/0.80 [129]~P1(x1291)+P9(x1291,x1291)
% 0.72/0.80 [130]~P1(x1301)+P10(x1301,x1301)
% 0.72/0.80 [170]~P1(x1701)+~P12(a46,x1701)
% 0.72/0.80 [174]~P13(x1741,x1741)+~P1(x1741)
% 0.72/0.80 [122]~P15(x1221)+E(f4(x1221,a46),x1221)
% 0.72/0.80 [123]~P15(x1231)+E(f4(a46,x1231),x1231)
% 0.72/0.80 [179]~P1(x1791)+P2(f6(x1791,a46))
% 0.72/0.80 [180]~P1(x1801)+P16(f6(x1801,a46))
% 0.72/0.80 [181]~P1(x1811)+P17(f6(x1811,a46))
% 0.72/0.80 [182]~P1(x1821)+P19(f6(x1821,a46))
% 0.72/0.80 [183]~P1(x1831)+P18(f6(x1831,a46))
% 0.72/0.80 [184]~P1(x1841)+P3(f6(x1841,a46))
% 0.72/0.80 [185]~P1(x1851)+P4(f6(x1851,a46))
% 0.72/0.80 [165]~P15(x1651)+~E(a46,x1651)+P6(a46,x1651)
% 0.72/0.80 [166]~P15(x1661)+~E(a46,x1661)+P7(a46,x1661)
% 0.72/0.80 [167]~P15(x1671)+~E(a46,x1671)+P14(a46,x1671)
% 0.72/0.80 [171]~P15(x1711)+~P6(a46,x1711)+E(a46,x1711)
% 0.72/0.80 [172]~P15(x1721)+~P7(a46,x1721)+E(a46,x1721)
% 0.72/0.80 [173]~P15(x1731)+~P14(a46,x1731)+E(a46,x1731)
% 0.72/0.80 [110]~P15(x1101)+E(f50(x1101),f27(x1101))+E(a46,x1101)
% 0.72/0.80 [111]~P15(x1111)+E(f58(x1111),f45(x1111))+E(a46,x1111)
% 0.72/0.80 [112]~P15(x1121)+E(a46,x1121)+P1(f50(x1121))
% 0.72/0.80 [113]~P15(x1131)+E(a46,x1131)+P1(f28(x1131))
% 0.72/0.80 [114]~P15(x1141)+E(a46,x1141)+P1(f27(x1141))
% 0.72/0.80 [115]~P15(x1151)+E(a46,x1151)+P15(f58(x1151))
% 0.72/0.80 [116]~P15(x1161)+E(a46,x1161)+P15(f29(x1161))
% 0.72/0.80 [117]~P15(x1171)+E(a46,x1171)+P15(f45(x1171))
% 0.72/0.80 [121]P3(x1211)+~P15(x1211)+E(f30(x1211),f36(x1211))
% 0.72/0.80 [131]~P15(x1311)+P2(x1311)+P1(f5(x1311))
% 0.72/0.80 [132]~P15(x1321)+P2(x1321)+P1(f7(x1321))
% 0.72/0.80 [133]~P15(x1331)+P2(x1331)+P15(f8(x1331))
% 0.72/0.80 [134]~P15(x1341)+P2(x1341)+P15(f9(x1341))
% 0.72/0.80 [135]~P15(x1351)+P2(x1351)+P15(f10(x1351))
% 0.72/0.80 [136]~P15(x1361)+P16(x1361)+P1(f11(x1361))
% 0.72/0.80 [137]~P15(x1371)+P16(x1371)+P1(f12(x1371))
% 0.72/0.80 [138]~P15(x1381)+P16(x1381)+P15(f13(x1381))
% 0.72/0.80 [139]~P15(x1391)+P16(x1391)+P15(f14(x1391))
% 0.72/0.80 [140]~P15(x1401)+P16(x1401)+P15(f15(x1401))
% 0.72/0.80 [141]~P15(x1411)+P17(x1411)+P1(f17(x1411))
% 0.72/0.80 [142]~P15(x1421)+P17(x1421)+P1(f18(x1421))
% 0.72/0.80 [143]~P15(x1431)+P17(x1431)+P15(f19(x1431))
% 0.72/0.80 [144]~P15(x1441)+P17(x1441)+P15(f20(x1441))
% 0.72/0.80 [145]~P15(x1451)+P17(x1451)+P15(f21(x1451))
% 0.72/0.80 [146]~P15(x1461)+P19(x1461)+P1(f22(x1461))
% 0.72/0.80 [147]~P15(x1471)+P19(x1471)+P1(f23(x1471))
% 0.72/0.80 [148]~P15(x1481)+P19(x1481)+P15(f24(x1481))
% 0.72/0.80 [149]~P15(x1491)+P19(x1491)+P15(f25(x1491))
% 0.72/0.80 [150]~P15(x1501)+P19(x1501)+P15(f26(x1501))
% 0.72/0.80 [151]~P15(x1511)+P18(x1511)+P1(f31(x1511))
% 0.72/0.80 [152]~P15(x1521)+P18(x1521)+P1(f32(x1521))
% 0.72/0.80 [153]~P15(x1531)+P18(x1531)+P15(f33(x1531))
% 0.72/0.80 [154]~P15(x1541)+P18(x1541)+P15(f34(x1541))
% 0.72/0.80 [155]~P15(x1551)+P18(x1551)+P15(f35(x1551))
% 0.72/0.80 [156]~P15(x1561)+P3(x1561)+P1(f30(x1561))
% 0.72/0.80 [157]~P15(x1571)+P3(x1571)+P1(f36(x1571))
% 0.72/0.80 [158]~P15(x1581)+P3(x1581)+P15(f37(x1581))
% 0.72/0.80 [159]~P15(x1591)+P3(x1591)+P15(f38(x1591))
% 0.72/0.81 [160]~P15(x1601)+P3(x1601)+P15(f39(x1601))
% 0.72/0.81 [161]~P15(x1611)+P4(x1611)+P1(f40(x1611))
% 0.72/0.81 [162]~P15(x1621)+P4(x1621)+P1(f42(x1621))
% 0.72/0.81 [163]~P15(x1631)+P4(x1631)+P15(f43(x1631))
% 0.72/0.81 [164]~P15(x1641)+P4(x1641)+P15(f44(x1641))
% 0.72/0.81 [168]~P15(x1681)+P4(x1681)+~E(f42(x1681),f40(x1681))
% 0.72/0.81 [169]~P15(x1691)+~P5(x1691)+P1(f53(x1691))
% 0.72/0.81 [190]~P15(x1901)+P2(x1901)+P9(f5(x1901),f7(x1901))
% 0.72/0.81 [191]~P15(x1911)+P2(x1911)+P9(f7(x1911),f5(x1911))
% 0.72/0.81 [213]~P15(x2131)+P16(x2131)+~P9(f11(x2131),f12(x2131))
% 0.72/0.81 [214]~P15(x2141)+P16(x2141)+~P9(f12(x2141),f11(x2141))
% 0.72/0.81 [215]~P15(x2151)+P17(x2151)+~P13(f17(x2151),f18(x2151))
% 0.72/0.81 [216]~P15(x2161)+P17(x2161)+~P13(f18(x2161),f17(x2161))
% 0.72/0.81 [217]~P15(x2171)+P19(x2171)+~P9(f22(x2171),f23(x2171))
% 0.72/0.81 [218]~P15(x2181)+P18(x2181)+~P13(f31(x2181),f32(x2181))
% 0.72/0.81 [178]~P15(x1781)+~P5(x1781)+E(f6(f53(x1781),a46),x1781)
% 0.72/0.81 [186]~P15(x1861)+E(a46,x1861)+E(f6(f50(x1861),f58(x1861)),x1861)
% 0.72/0.81 [187]~P15(x1871)+E(a46,x1871)+E(f6(f28(x1871),f29(x1871)),x1871)
% 0.72/0.81 [278]P2(x2781)+~P15(x2781)+E(f4(f4(f8(x2781),f6(f5(x2781),f9(x2781))),f6(f7(x2781),f10(x2781))),x2781)
% 0.72/0.81 [279]P16(x2791)+~P15(x2791)+E(f4(f4(f13(x2791),f6(f11(x2791),f14(x2791))),f6(f12(x2791),f15(x2791))),x2791)
% 0.72/0.81 [280]P17(x2801)+~P15(x2801)+E(f4(f4(f19(x2801),f6(f17(x2801),f20(x2801))),f6(f18(x2801),f21(x2801))),x2801)
% 0.72/0.81 [281]P19(x2811)+~P15(x2811)+E(f4(f4(f24(x2811),f6(f22(x2811),f25(x2811))),f6(f23(x2811),f26(x2811))),x2811)
% 0.72/0.81 [282]P18(x2821)+~P15(x2821)+E(f4(f4(f33(x2821),f6(f31(x2821),f34(x2821))),f6(f32(x2821),f35(x2821))),x2821)
% 0.72/0.81 [283]P3(x2831)+~P15(x2831)+E(f4(f4(f37(x2831),f6(f30(x2831),f38(x2831))),f6(f36(x2831),f39(x2831))),x2831)
% 0.72/0.81 [276]P4(x2761)+~P15(x2761)+E(f4(f43(x2761),f6(f40(x2761),f6(f42(x2761),f44(x2761)))),x2761)
% 0.72/0.81 [188]~P1(x1881)+~P15(x1882)+~E(f6(x1881,x1882),a46)
% 0.72/0.81 [189]~P1(x1891)+~P15(x1892)+~E(f6(x1891,x1892),x1892)
% 0.72/0.81 [198]~P1(x1981)+~P15(x1982)+P15(f6(x1981,x1982))
% 0.72/0.81 [199]~P15(x1992)+~P15(x1991)+P15(f4(x1991,x1992))
% 0.72/0.81 [200]~P1(x2001)+~P15(x2002)+E(f50(f6(x2001,x2002)),x2001)
% 0.72/0.81 [201]~P1(x2011)+~P15(x2012)+E(f58(f6(x2011,x2012)),x2012)
% 0.72/0.81 [230]~P1(x2301)+~P15(x2302)+E(f4(f6(x2301,a46),x2302),f6(x2301,x2302))
% 0.72/0.81 [175]P8(x1751,x1752)+~P1(x1752)+~P1(x1751)+E(x1751,x1752)
% 0.72/0.81 [176]P8(x1761,x1762)+~P15(x1762)+~P15(x1761)+E(x1761,x1762)
% 0.72/0.81 [195]~P1(x1952)+~P1(x1951)+~P8(x1951,x1952)+~E(x1951,x1952)
% 0.72/0.81 [196]~P1(x1962)+~P1(x1961)+~P13(x1961,x1962)+~E(x1961,x1962)
% 0.72/0.81 [197]~P15(x1972)+~P15(x1971)+~P8(x1971,x1972)+~E(x1971,x1972)
% 0.72/0.81 [208]~P1(x2081)+~P1(x2082)+~P10(x2082,x2081)+P9(x2081,x2082)
% 0.72/0.81 [209]~P1(x2092)+~P1(x2091)+~P13(x2091,x2092)+P9(x2091,x2092)
% 0.72/0.81 [210]~P1(x2101)+~P1(x2102)+~P11(x2102,x2101)+P13(x2101,x2102)
% 0.72/0.81 [211]~P1(x2111)+~P1(x2112)+~P9(x2112,x2111)+P10(x2111,x2112)
% 0.72/0.81 [212]~P1(x2121)+~P1(x2122)+~P13(x2122,x2121)+P11(x2121,x2122)
% 0.72/0.81 [221]~P13(x2211,x2212)+~P13(x2212,x2211)+~P1(x2211)+~P1(x2212)
% 0.72/0.81 [222]~P11(x2221,x2222)+~P11(x2222,x2221)+~P1(x2221)+~P1(x2222)
% 0.72/0.81 [192]~P15(x1922)+~P15(x1921)+E(a46,x1921)+~E(f4(x1922,x1921),a46)
% 0.72/0.81 [193]~P15(x1932)+~P15(x1931)+E(a46,x1931)+~E(f4(x1931,x1932),a46)
% 0.72/0.81 [194]~P1(x1942)+~P15(x1941)+P5(x1941)+~E(f6(x1942,a46),x1941)
% 0.72/0.81 [203]~P1(x2031)+~P15(x2032)+~E(a46,x2032)+P19(f6(x2031,x2032))
% 0.72/0.81 [204]~P1(x2041)+~P15(x2042)+~E(a46,x2042)+P18(f6(x2041,x2042))
% 0.72/0.81 [233]~P1(x2332)+~P15(x2331)+~P12(x2331,x2332)+P15(f41(x2331,x2332))
% 0.72/0.81 [234]~P1(x2342)+~P15(x2341)+~P12(x2341,x2342)+P15(f48(x2341,x2342))
% 0.72/0.81 [235]~P15(x2352)+~P15(x2351)+~P6(x2351,x2352)+P15(f54(x2351,x2352))
% 0.72/0.81 [236]~P15(x2362)+~P15(x2361)+~P7(x2361,x2362)+P15(f55(x2361,x2362))
% 0.72/0.81 [237]~P15(x2372)+~P15(x2371)+~P14(x2371,x2372)+P15(f56(x2371,x2372))
% 0.72/0.81 [238]~P15(x2382)+~P15(x2381)+~P14(x2381,x2382)+P15(f57(x2381,x2382))
% 0.72/0.81 [205]~P15(x2052)+~P15(x2051)+E(a46,x2051)+E(f50(f4(x2051,x2052)),f50(x2051))
% 0.72/0.81 [232]~P15(x2322)+~P15(x2321)+E(a46,x2321)+E(f58(f4(x2321,x2322)),f4(f58(x2321),x2322))
% 0.72/0.81 [245]~P15(x2452)+~P15(x2451)+~P6(x2452,x2451)+E(f4(x2451,f54(x2452,x2451)),x2452)
% 0.72/0.81 [246]~P15(x2462)+~P15(x2461)+~P7(x2461,x2462)+E(f4(f55(x2461,x2462),x2462),x2461)
% 0.72/0.81 [275]~P15(x2752)+~P15(x2751)+~P14(x2751,x2752)+E(f4(f4(f56(x2751,x2752),x2752),f57(x2751,x2752)),x2751)
% 0.72/0.81 [274]~P1(x2742)+~P15(x2741)+~P12(x2741,x2742)+E(f4(f41(x2741,x2742),f6(x2742,f48(x2741,x2742))),x2741)
% 0.72/0.81 [264]~P1(x2641)+~P15(x2642)+~P15(x2643)+E(f6(x2641,f4(x2642,x2643)),f4(f6(x2641,x2642),x2643))
% 0.72/0.81 [265]~P15(x2653)+~P15(x2652)+~P15(x2651)+E(f4(f4(x2651,x2652),x2653),f4(x2651,f4(x2652,x2653)))
% 0.72/0.81 [220]P13(x2201,x2202)+~P1(x2202)+~P1(x2201)+~P9(x2201,x2202)+E(x2201,x2202)
% 0.72/0.81 [225]~P1(x2252)+~P1(x2251)+~P9(x2252,x2251)+~P9(x2251,x2252)+E(x2251,x2252)
% 0.72/0.81 [226]~P1(x2262)+~P1(x2261)+~P10(x2262,x2261)+~P10(x2261,x2262)+E(x2261,x2262)
% 0.72/0.81 [227]~P15(x2272)+~P15(x2271)+~P6(x2272,x2271)+~P6(x2271,x2272)+E(x2271,x2272)
% 0.72/0.81 [228]~P15(x2282)+~P15(x2281)+~P7(x2282,x2281)+~P7(x2281,x2282)+E(x2281,x2282)
% 0.72/0.81 [229]~P15(x2292)+~P15(x2291)+~P14(x2292,x2291)+~P14(x2291,x2292)+E(x2291,x2292)
% 0.72/0.81 [177]~P15(x1771)+~P15(x1772)+~E(a46,x1771)+~E(a46,x1772)+E(f4(x1771,x1772),a46)
% 0.72/0.81 [241]P19(x2411)+~P15(x2411)+~P1(x2412)+E(a46,x2411)+~P19(f6(x2412,x2411))
% 0.72/0.81 [242]P18(x2421)+~P15(x2421)+~P1(x2422)+E(a46,x2421)+~P18(f6(x2422,x2421))
% 0.72/0.81 [255]~P1(x2552)+~P15(x2551)+E(a46,x2551)+P9(x2552,f50(x2551))+~P19(f6(x2552,x2551))
% 0.72/0.81 [256]~P1(x2562)+~P15(x2561)+E(a46,x2561)+P13(x2562,f50(x2561))+~P18(f6(x2562,x2561))
% 0.72/0.81 [223]~P15(x2231)+~P15(x2232)+~P15(x2233)+P6(x2231,x2232)+~E(f4(x2232,x2233),x2231)
% 0.72/0.81 [224]~P15(x2241)+~P15(x2242)+~P15(x2243)+P7(x2241,x2242)+~E(f4(x2243,x2242),x2241)
% 0.72/0.81 [231]~E(x2313,x2311)+~P1(x2311)+~P1(x2313)+~P15(x2312)+P12(f6(x2311,x2312),x2313)
% 0.72/0.81 [239]~P15(x2392)+~P15(x2393)+~P15(x2391)+E(x2391,x2392)+~E(f4(x2393,x2391),f4(x2393,x2392))
% 0.72/0.81 [240]~P15(x2402)+~P15(x2403)+~P15(x2401)+E(x2401,x2402)+~E(f4(x2401,x2403),f4(x2402,x2403))
% 0.72/0.81 [257]~P1(x2571)+~P1(x2573)+~P15(x2572)+~P12(x2572,x2573)+P12(f6(x2571,x2572),x2573)
% 0.72/0.81 [258]~P1(x2583)+~P15(x2581)+~P15(x2582)+~P12(x2582,x2583)+P12(f4(x2581,x2582),x2583)
% 0.72/0.81 [259]~P1(x2593)+~P15(x2592)+~P15(x2591)+~P12(x2591,x2593)+P12(f4(x2591,x2592),x2593)
% 0.72/0.81 [260]~P15(x2602)+~P15(x2603)+~P15(x2601)+~P6(x2601,x2603)+P6(f4(x2601,x2602),x2603)
% 0.72/0.81 [261]~P15(x2611)+~P15(x2613)+~P15(x2612)+~P7(x2612,x2613)+P7(f4(x2611,x2612),x2613)
% 0.72/0.81 [262]~P1(x2622)+~P15(x2621)+~P19(x2621)+~P9(x2622,f50(x2621))+E(a46,x2621)+P19(f6(x2622,x2621))
% 0.72/0.81 [263]~P1(x2632)+~P15(x2631)+~P18(x2631)+~P13(x2632,f50(x2631))+E(a46,x2631)+P18(f6(x2632,x2631))
% 0.72/0.81 [247]~P15(x2472)+~P15(x2471)+~P6(x2473,x2472)+~P6(x2471,x2473)+P6(x2471,x2472)+~P15(x2473)
% 0.72/0.81 [248]~P15(x2482)+~P15(x2481)+~P7(x2483,x2482)+~P7(x2481,x2483)+P7(x2481,x2482)+~P15(x2483)
% 0.72/0.81 [249]~P15(x2492)+~P15(x2491)+~P14(x2493,x2492)+~P14(x2491,x2493)+P14(x2491,x2492)+~P15(x2493)
% 0.72/0.81 [250]~P1(x2502)+~P1(x2501)+~P9(x2503,x2502)+~P9(x2501,x2503)+P9(x2501,x2502)+~P1(x2503)
% 0.72/0.81 [251]~P1(x2512)+~P1(x2511)+~P9(x2511,x2513)+~P13(x2513,x2512)+P13(x2511,x2512)+~P1(x2513)
% 0.72/0.81 [252]~P1(x2522)+~P1(x2521)+~P13(x2523,x2522)+~P13(x2521,x2523)+P13(x2521,x2522)+~P1(x2523)
% 0.72/0.81 [253]~P1(x2532)+~P1(x2531)+~P10(x2533,x2532)+~P10(x2531,x2533)+P10(x2531,x2532)+~P1(x2533)
% 0.72/0.81 [254]~P1(x2542)+~P1(x2541)+~P11(x2543,x2542)+~P11(x2541,x2543)+P11(x2541,x2542)+~P1(x2543)
% 0.72/0.81 [266]~P1(x2662)+~P1(x2661)+~P15(x2663)+E(x2661,x2662)+P12(x2663,x2662)+~P12(f6(x2661,x2663),x2662)
% 0.72/0.81 [269]~P1(x2692)+~P15(x2691)+~P15(x2693)+P12(x2691,x2692)+P12(x2693,x2692)+~P12(f4(x2693,x2691),x2692)
% 0.72/0.81 [243]~P1(x2434)+~P1(x2433)+~P15(x2432)+~P15(x2431)+E(x2431,x2432)+~E(f6(x2433,x2432),f6(x2434,x2431))
% 0.72/0.81 [244]~P1(x2442)+~P1(x2441)+~P15(x2444)+~P15(x2443)+E(x2441,x2442)+~E(f6(x2441,x2443),f6(x2442,x2444))
% 0.72/0.81 [271]~P1(x2712)+~P1(x2711)+E(x2711,x2712)+~P15(x2713)+~P15(x2714)+~P6(f6(x2711,x2714),f6(x2712,x2713))
% 0.72/0.81 [273]~P15(x2732)+~P15(x2731)+P6(x2731,x2732)+~P1(x2733)+~P1(x2734)+~P6(f6(x2734,x2731),f6(x2733,x2732))
% 0.72/0.81 [267]~P1(x2672)+~P15(x2671)+~P15(x2674)+~P15(x2673)+P12(x2671,x2672)+~E(f4(x2673,f6(x2672,x2674)),x2671)
% 0.72/0.81 [268]~P15(x2681)+~P15(x2682)+~P15(x2684)+~P15(x2683)+P14(x2681,x2682)+~E(f4(f4(x2683,x2682),x2684),x2681)
% 0.72/0.81 [272]~P15(x2723)+~P15(x2721)+~P15(x2724)+~P15(x2722)+~P14(x2722,x2724)+P14(f4(f4(x2721,x2722),x2723),x2724)
% 0.72/0.81 [202]~P15(x2022)+~P15(x2021)+E(x2021,x2022)+E(a46,x2022)+E(a46,x2021)+~E(f50(x2021),f50(x2022))+~E(f58(x2021),f58(x2022))
% 0.72/0.81 [270]~E(x2701,x2703)+~P1(x2703)+~P1(x2701)+~P15(x2704)+~P15(x2702)+~P6(x2702,x2704)+P6(f6(x2701,x2702),f6(x2703,x2704))
% 0.72/0.81 [277]~P1(x2772)+~P1(x2771)+~P15(x2774)+~P15(x2773)+~P15(x2775)+~P4(x2775)+E(x2771,x2772)+~E(f4(x2773,f6(x2771,f6(x2772,x2774))),x2775)
% 0.72/0.81 [284]~P1(x2842)+~P1(x2841)+~P15(x2845)+~P15(x2844)+~P15(x2843)+~P15(x2846)+~P3(x2846)+~E(x2841,x2842)+~E(f4(f4(x2843,f6(x2841,x2844)),f6(x2842,x2845)),x2846)
% 0.72/0.81 [285]~P1(x2852)+~P1(x2851)+~P15(x2855)+~P15(x2854)+~P15(x2853)+~P15(x2856)+~P19(x2856)+P9(x2851,x2852)+~E(f4(f4(x2853,f6(x2851,x2854)),f6(x2852,x2855)),x2856)
% 0.72/0.81 [286]~P1(x2862)+~P1(x2861)+~P15(x2865)+~P15(x2864)+~P15(x2863)+~P15(x2866)+~P18(x2866)+P13(x2861,x2862)+~E(f4(f4(x2863,f6(x2861,x2864)),f6(x2862,x2865)),x2866)
% 0.72/0.81 [287]P9(x2872,x2871)+~P1(x2871)+~P1(x2872)+~P15(x2875)+~P15(x2874)+~P15(x2873)+~P15(x2876)+~P16(x2876)+P9(x2871,x2872)+~E(f4(f4(x2873,f6(x2872,x2874)),f6(x2871,x2875)),x2876)
% 0.72/0.81 [288]P13(x2882,x2881)+~P1(x2881)+~P1(x2882)+~P15(x2885)+~P15(x2884)+~P15(x2883)+~P15(x2886)+~P17(x2886)+P13(x2881,x2882)+~E(f4(f4(x2883,f6(x2882,x2884)),f6(x2881,x2885)),x2886)
% 0.72/0.81 [289]~P1(x2894)+~P1(x2892)+~P15(x2895)+~P15(x2893)+~P15(x2891)+~P15(x2896)+~P2(x2896)+~P9(x2894,x2892)+~P9(x2892,x2894)+~E(f4(f4(x2891,f6(x2892,x2893)),f6(x2894,x2895)),x2896)
% 0.72/0.81 %EqnAxiom
% 0.72/0.81 [1]E(x11,x11)
% 0.72/0.81 [2]E(x22,x21)+~E(x21,x22)
% 0.72/0.81 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.72/0.81 [4]~E(x41,x42)+E(f50(x41),f50(x42))
% 0.72/0.81 [5]~E(x51,x52)+E(f27(x51),f27(x52))
% 0.72/0.81 [6]~E(x61,x62)+E(f58(x61),f58(x62))
% 0.72/0.81 [7]~E(x71,x72)+E(f45(x71),f45(x72))
% 0.72/0.81 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 0.72/0.81 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 0.72/0.81 [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 0.72/0.81 [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 0.72/0.81 [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 0.72/0.81 [13]~E(x131,x132)+E(f42(x131),f42(x132))
% 0.72/0.81 [14]~E(x141,x142)+E(f29(x141),f29(x142))
% 0.72/0.81 [15]~E(x151,x152)+E(f40(x151),f40(x152))
% 0.72/0.81 [16]~E(x161,x162)+E(f30(x161),f30(x162))
% 0.72/0.81 [17]~E(x171,x172)+E(f36(x171),f36(x172))
% 0.72/0.81 [18]~E(x181,x182)+E(f43(x181),f43(x182))
% 0.72/0.81 [19]~E(x191,x192)+E(f57(x191,x193),f57(x192,x193))
% 0.72/0.81 [20]~E(x201,x202)+E(f57(x203,x201),f57(x203,x202))
% 0.72/0.81 [21]~E(x211,x212)+E(f5(x211),f5(x212))
% 0.72/0.81 [22]~E(x221,x222)+E(f7(x221),f7(x222))
% 0.72/0.81 [23]~E(x231,x232)+E(f8(x231),f8(x232))
% 0.72/0.81 [24]~E(x241,x242)+E(f9(x241),f9(x242))
% 0.72/0.81 [25]~E(x251,x252)+E(f10(x251),f10(x252))
% 0.72/0.81 [26]~E(x261,x262)+E(f11(x261),f11(x262))
% 0.72/0.81 [27]~E(x271,x272)+E(f12(x271),f12(x272))
% 0.72/0.81 [28]~E(x281,x282)+E(f13(x281),f13(x282))
% 0.72/0.81 [29]~E(x291,x292)+E(f14(x291),f14(x292))
% 0.72/0.81 [30]~E(x301,x302)+E(f15(x301),f15(x302))
% 0.72/0.81 [31]~E(x311,x312)+E(f17(x311),f17(x312))
% 0.72/0.81 [32]~E(x321,x322)+E(f18(x321),f18(x322))
% 0.72/0.81 [33]~E(x331,x332)+E(f19(x331),f19(x332))
% 0.72/0.81 [34]~E(x341,x342)+E(f20(x341),f20(x342))
% 0.72/0.81 [35]~E(x351,x352)+E(f21(x351),f21(x352))
% 0.72/0.81 [36]~E(x361,x362)+E(f22(x361),f22(x362))
% 0.72/0.81 [37]~E(x371,x372)+E(f23(x371),f23(x372))
% 0.72/0.81 [38]~E(x381,x382)+E(f24(x381),f24(x382))
% 0.72/0.81 [39]~E(x391,x392)+E(f25(x391),f25(x392))
% 0.72/0.81 [40]~E(x401,x402)+E(f26(x401),f26(x402))
% 0.72/0.81 [41]~E(x411,x412)+E(f31(x411),f31(x412))
% 0.72/0.81 [42]~E(x421,x422)+E(f32(x421),f32(x422))
% 0.72/0.81 [43]~E(x431,x432)+E(f33(x431),f33(x432))
% 0.72/0.81 [44]~E(x441,x442)+E(f34(x441),f34(x442))
% 0.72/0.81 [45]~E(x451,x452)+E(f35(x451),f35(x452))
% 0.72/0.81 [46]~E(x461,x462)+E(f54(x461,x463),f54(x462,x463))
% 0.72/0.81 [47]~E(x471,x472)+E(f54(x473,x471),f54(x473,x472))
% 0.72/0.81 [48]~E(x481,x482)+E(f56(x481,x483),f56(x482,x483))
% 0.72/0.81 [49]~E(x491,x492)+E(f56(x493,x491),f56(x493,x492))
% 0.72/0.81 [50]~E(x501,x502)+E(f37(x501),f37(x502))
% 0.72/0.81 [51]~E(x511,x512)+E(f38(x511),f38(x512))
% 0.72/0.81 [52]~E(x521,x522)+E(f39(x521),f39(x522))
% 0.72/0.81 [53]~E(x531,x532)+E(f44(x531),f44(x532))
% 0.72/0.81 [54]~E(x541,x542)+E(f55(x541,x543),f55(x542,x543))
% 0.72/0.81 [55]~E(x551,x552)+E(f55(x553,x551),f55(x553,x552))
% 0.72/0.81 [56]~E(x561,x562)+E(f41(x561,x563),f41(x562,x563))
% 0.72/0.81 [57]~E(x571,x572)+E(f41(x573,x571),f41(x573,x572))
% 0.72/0.81 [58]~E(x581,x582)+E(f48(x581,x583),f48(x582,x583))
% 0.72/0.81 [59]~E(x591,x592)+E(f48(x593,x591),f48(x593,x592))
% 0.72/0.81 [60]~E(x601,x602)+E(f53(x601),f53(x602))
% 0.72/0.81 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 0.72/0.81 [62]P9(x622,x623)+~E(x621,x622)+~P9(x621,x623)
% 0.72/0.81 [63]P9(x633,x632)+~E(x631,x632)+~P9(x633,x631)
% 0.72/0.81 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 0.72/0.81 [65]P12(x652,x653)+~E(x651,x652)+~P12(x651,x653)
% 0.72/0.81 [66]P12(x663,x662)+~E(x661,x662)+~P12(x663,x661)
% 0.72/0.81 [67]~P3(x671)+P3(x672)+~E(x671,x672)
% 0.72/0.81 [68]~P19(x681)+P19(x682)+~E(x681,x682)
% 0.72/0.81 [69]~P4(x691)+P4(x692)+~E(x691,x692)
% 0.72/0.81 [70]~P2(x701)+P2(x702)+~E(x701,x702)
% 0.72/0.81 [71]~P16(x711)+P16(x712)+~E(x711,x712)
% 0.72/0.81 [72]~P17(x721)+P17(x722)+~E(x721,x722)
% 0.72/0.81 [73]P13(x732,x733)+~E(x731,x732)+~P13(x731,x733)
% 0.72/0.81 [74]P13(x743,x742)+~E(x741,x742)+~P13(x743,x741)
% 0.72/0.81 [75]~P18(x751)+P18(x752)+~E(x751,x752)
% 0.72/0.81 [76]~P5(x761)+P5(x762)+~E(x761,x762)
% 0.72/0.81 [77]P7(x772,x773)+~E(x771,x772)+~P7(x771,x773)
% 0.72/0.81 [78]P7(x783,x782)+~E(x781,x782)+~P7(x783,x781)
% 0.72/0.81 [79]P14(x792,x793)+~E(x791,x792)+~P14(x791,x793)
% 0.72/0.81 [80]P14(x803,x802)+~E(x801,x802)+~P14(x803,x801)
% 0.72/0.81 [81]P11(x812,x813)+~E(x811,x812)+~P11(x811,x813)
% 0.72/0.81 [82]P11(x823,x822)+~E(x821,x822)+~P11(x823,x821)
% 0.72/0.81 [83]P6(x832,x833)+~E(x831,x832)+~P6(x831,x833)
% 0.72/0.81 [84]P6(x843,x842)+~E(x841,x842)+~P6(x843,x841)
% 0.72/0.81 [85]P10(x852,x853)+~E(x851,x852)+~P10(x851,x853)
% 0.72/0.81 [86]P10(x863,x862)+~E(x861,x862)+~P10(x863,x861)
% 0.72/0.81 [87]P8(x872,x873)+~E(x871,x872)+~P8(x871,x873)
% 0.72/0.81 [88]P8(x883,x882)+~E(x881,x882)+~P8(x883,x881)
% 0.72/0.81
% 0.72/0.81 %-------------------------------------------
% 0.72/0.81 cnf(294,plain,
% 0.72/0.81 (~P8(x2941,x2941)+~P1(x2941)+~P1(x2941)),
% 0.72/0.81 inference(equality_inference,[],[195])).
% 0.72/0.81 cnf(296,plain,
% 0.72/0.81 (~P8(x2961,x2961)+~P15(x2961)+~P15(x2961)),
% 0.72/0.81 inference(equality_inference,[],[197])).
% 0.72/0.81 cnf(315,plain,
% 0.72/0.81 (E(a46,a1)),
% 0.72/0.81 inference(scs_inference,[],[89,2])).
% 0.72/0.81 cnf(327,plain,
% 0.72/0.81 (P16(a1)),
% 0.72/0.81 inference(scs_inference,[],[89,95,107,92,99,100,102,104,105,2,174,294,296,3,67,68,69,70,71])).
% 0.72/0.81 cnf(328,plain,
% 0.72/0.81 (P17(a1)),
% 0.72/0.81 inference(scs_inference,[],[89,95,107,92,99,100,101,102,104,105,2,174,294,296,3,67,68,69,70,71,72])).
% 0.72/0.81 cnf(337,plain,
% 0.72/0.81 (P7(a1,a1)),
% 0.72/0.81 inference(scs_inference,[],[89,95,96,107,92,99,100,101,102,103,104,105,108,2,174,294,296,3,67,68,69,70,71,72,75,76,165,166,167,77])).
% 0.72/0.81 cnf(339,plain,
% 0.72/0.81 (P14(a1,a1)),
% 0.72/0.81 inference(scs_inference,[],[89,95,96,107,92,99,100,101,102,103,104,105,108,2,174,294,296,3,67,68,69,70,71,72,75,76,165,166,167,77,78,79])).
% 0.72/0.81 cnf(342,plain,
% 0.72/0.81 (P6(a46,a46)),
% 0.72/0.81 inference(scs_inference,[],[89,95,96,107,92,99,100,101,102,103,104,105,108,2,174,294,296,3,67,68,69,70,71,72,75,76,165,166,167,77,78,79,80,83,84])).
% 0.72/0.81 cnf(368,plain,
% 0.72/0.81 (E(a46,a49)),
% 0.72/0.81 inference(scs_inference,[],[89,90,91,97,315,327,328,342,93,337,339,174,2,80,78,72,296,294,83,71,3])).
% 0.72/0.81 cnf(409,plain,
% 0.72/0.81 (E(a49,a46)),
% 0.72/0.81 inference(scs_inference,[],[368,2])).
% 0.72/0.81 cnf(420,plain,
% 0.72/0.81 (E(a47,a46)),
% 0.72/0.81 inference(scs_inference,[],[409,109])).
% 0.72/0.81 cnf(457,plain,
% 0.72/0.81 ($false),
% 0.72/0.81 inference(scs_inference,[],[90,420,107,97,315,100,101,102,103,104,105,2,165,167,166,77,75,79,71,72,67,69,68,3]),
% 0.72/0.81 ['proof']).
% 0.72/0.81 % SZS output end Proof
% 0.72/0.81 % Total time :0.110000s
%------------------------------------------------------------------------------