%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC317+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 : n032.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 16:15:00 EDT 2024
% Result : Theorem 6.81s 6.92s
% Output : CNFRefutation 6.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWC317+1 : TPTP v8.2.0. Released v2.4.0.
% 0.00/0.09 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Thu Jun 20 02:18:23 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.13/0.45 start to proof:theBenchmark
% 6.81/6.91 %-------------------------------------------
% 6.81/6.91 % File :CSE---1.7
% 6.81/6.91 % Problem :theBenchmark
% 6.81/6.91 % Transform :cnf
% 6.81/6.91 % Format :tptp:raw
% 6.81/6.91 % Command :java -jar mcs_scs.jar %d %s
% 6.81/6.91
% 6.81/6.91 % Result :Theorem 6.380000s
% 6.81/6.91 % Output :CNFRefutation 6.380000s
% 6.81/6.91 %-------------------------------------------
% 6.81/6.92 %--------------------------------------------------------------------------
% 6.81/6.92 % File : SWC317+1 : TPTP v8.2.0. Released v2.4.0.
% 6.81/6.92 % Domain : Software Creation
% 6.81/6.92 % Problem : cond_rot_r2_x_rot_r2
% 6.81/6.92 % Version : [Wei00] axioms.
% 6.81/6.92 % English : Find components in a software library that match a given target
% 6.81/6.92 % specification given in first-order logic. The components are
% 6.81/6.92 % specified in first-order logic as well. The problem represents
% 6.81/6.92 % a test of one library module specification against a target
% 6.81/6.92 % specification.
% 6.81/6.92
% 6.81/6.92 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 6.81/6.92 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 6.81/6.92 % Source : [Wei00]
% 6.81/6.92 % Names : cond_rot_r2_x_rot_r2 [Wei00]
% 6.81/6.92
% 6.81/6.92 % Status : Theorem
% 6.81/6.92 % Rating : 0.28 v8.2.0, 0.25 v8.1.0, 0.28 v7.4.0, 0.17 v7.3.0, 0.21 v7.1.0, 0.30 v7.0.0, 0.23 v6.4.0, 0.27 v6.3.0, 0.33 v6.2.0, 0.40 v6.1.0, 0.47 v6.0.0, 0.43 v5.5.0, 0.52 v5.4.0, 0.54 v5.3.0, 0.56 v5.2.0, 0.40 v5.1.0, 0.43 v5.0.0, 0.46 v4.1.0, 0.43 v4.0.0, 0.42 v3.7.0, 0.40 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 v2.4.0
% 6.81/6.92 % Syntax : Number of formulae : 96 ( 9 unt; 0 def)
% 6.81/6.92 % Number of atoms : 411 ( 77 equ)
% 6.81/6.92 % Maximal formula atoms : 17 ( 4 avg)
% 6.81/6.92 % Number of connectives : 345 ( 30 ~; 14 |; 42 &)
% 6.81/6.92 % ( 26 <=>; 233 =>; 0 <=; 0 <~>)
% 6.81/6.92 % Maximal formula depth : 20 ( 7 avg)
% 6.81/6.92 % Maximal term depth : 4 ( 1 avg)
% 6.81/6.92 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 6.81/6.92 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 6.81/6.92 % Number of variables : 211 ( 196 !; 15 ?)
% 6.81/6.92 % SPC : FOF_THM_RFO_SEQ
% 6.81/6.92
% 6.81/6.92 % Comments :
% 6.81/6.92 %--------------------------------------------------------------------------
% 6.81/6.92 %----Include list specification axioms
% 6.81/6.92 include('Axioms/SWC001+0.ax').
% 6.81/6.92 %--------------------------------------------------------------------------
% 6.81/6.92 fof(co1,conjecture,
% 6.81/6.92 ! [U] :
% 6.81/6.92 ( ssList(U)
% 6.81/6.92 => ! [V] :
% 6.81/6.92 ( ssList(V)
% 6.81/6.92 => ! [W] :
% 6.81/6.92 ( ssList(W)
% 6.81/6.92 => ! [X] :
% 6.81/6.92 ( ssList(X)
% 6.81/6.92 => ( V != X
% 6.81/6.92 | U != W
% 6.81/6.92 | ( ( ~ neq(V,nil)
% 6.81/6.92 | ? [Y] :
% 6.81/6.92 ( ssItem(Y)
% 6.81/6.92 & ? [Z] :
% 6.81/6.92 ( ssList(Z)
% 6.81/6.92 & app(cons(Y,nil),Z) = U
% 6.81/6.92 & app(Z,cons(Y,nil)) = V ) )
% 6.81/6.92 | ! [X1] :
% 6.81/6.92 ( ssItem(X1)
% 6.81/6.92 => ! [X2] :
% 6.81/6.92 ( ssList(X2)
% 6.81/6.92 => ( app(cons(X1,nil),X2) != W
% 6.81/6.92 | app(X2,cons(X1,nil)) != X ) ) ) )
% 6.81/6.92 & ( ~ neq(V,nil)
% 6.81/6.92 | neq(X,nil) ) ) ) ) ) ) ) ).
% 6.81/6.92
% 6.81/6.92 %--------------------------------------------------------------------------
% 6.81/6.92 %-------------------------------------------
% 6.81/6.92 % Proof found
% 6.81/6.92 % SZS status Theorem for theBenchmark
% 6.81/6.92 % SZS output start Proof
% 6.81/6.92 %ClaNum:294(EqnAxiom:88)
% 6.81/6.92 %VarNum:1014(SingletonVarNum:329)
% 6.81/6.92 %MaxLitNum:10
% 6.81/6.92 %MaxfuncDepth:4
% 6.81/6.92 %SharedTerms:36
% 6.81/6.92 %goalClause: 89 90 94 95 96 97 105 124 125 209 210 278
% 6.81/6.92 %singleGoalClaCount:7
% 6.81/6.92 [89]E(a1,a2)
% 6.81/6.92 [90]E(a46,a48)
% 6.81/6.92 [91]P1(a3)
% 6.81/6.92 [92]P1(a16)
% 6.81/6.92 [93]P15(a49)
% 6.81/6.92 [94]P15(a2)
% 6.81/6.92 [95]P15(a46)
% 6.81/6.92 [96]P15(a1)
% 6.81/6.92 [97]P15(a48)
% 6.81/6.92 [98]P2(a49)
% 6.81/6.92 [99]P16(a49)
% 6.81/6.92 [100]P17(a49)
% 6.81/6.92 [101]P19(a49)
% 6.81/6.92 [102]P18(a49)
% 6.81/6.92 [103]P3(a49)
% 6.81/6.92 [104]P4(a49)
% 6.81/6.92 [105]P5(a46,a49)
% 6.81/6.92 [106]~E(a16,a3)
% 6.81/6.92 [107]~P12(a49)
% 6.81/6.92 [124]P1(a50)+~P5(a48,a49)
% 6.81/6.92 [125]~P5(a48,a49)+P15(a51)
% 6.81/6.92 [209]~P5(a48,a49)+E(f4(a51,f6(a50,a49)),a48)
% 6.81/6.92 [210]~P5(a48,a49)+E(f4(f6(a50,a49),a51),a1)
% 6.81/6.92 [118]~P15(x1181)+P6(x1181,a49)
% 6.81/6.92 [119]~P15(x1191)+P13(x1191,a49)
% 6.81/6.92 [120]~P15(x1201)+P14(x1201,a49)
% 6.81/6.92 [126]~P15(x1261)+P6(x1261,x1261)
% 6.81/6.92 [127]~P15(x1271)+P13(x1271,x1271)
% 6.81/6.92 [128]~P15(x1281)+P14(x1281,x1281)
% 6.81/6.92 [129]~P1(x1291)+P7(x1291,x1291)
% 6.81/6.92 [130]~P1(x1301)+P8(x1301,x1301)
% 6.81/6.92 [170]~P1(x1701)+~P10(a49,x1701)
% 6.81/6.92 [175]~P11(x1751,x1751)+~P1(x1751)
% 6.81/6.92 [122]~P15(x1221)+E(f4(x1221,a49),x1221)
% 6.81/6.92 [123]~P15(x1231)+E(f4(a49,x1231),x1231)
% 6.81/6.92 [180]~P1(x1801)+P2(f6(x1801,a49))
% 6.81/6.92 [181]~P1(x1811)+P16(f6(x1811,a49))
% 6.81/6.92 [182]~P1(x1821)+P17(f6(x1821,a49))
% 6.81/6.92 [183]~P1(x1831)+P19(f6(x1831,a49))
% 6.81/6.92 [184]~P1(x1841)+P18(f6(x1841,a49))
% 6.81/6.92 [185]~P1(x1851)+P3(f6(x1851,a49))
% 6.81/6.92 [186]~P1(x1861)+P4(f6(x1861,a49))
% 6.81/6.92 [165]~P15(x1651)+~E(a49,x1651)+P6(a49,x1651)
% 6.81/6.92 [166]~P15(x1661)+~E(a49,x1661)+P13(a49,x1661)
% 6.81/6.92 [167]~P15(x1671)+~E(a49,x1671)+P14(a49,x1671)
% 6.81/6.92 [171]~P15(x1711)+~P6(a49,x1711)+E(a49,x1711)
% 6.81/6.92 [172]~P15(x1721)+~P13(a49,x1721)+E(a49,x1721)
% 6.81/6.92 [173]~P15(x1731)+~P14(a49,x1731)+E(a49,x1731)
% 6.81/6.92 [110]~P15(x1101)+E(f52(x1101),f27(x1101))+E(a49,x1101)
% 6.81/6.92 [111]~P15(x1111)+E(f58(x1111),f45(x1111))+E(a49,x1111)
% 6.81/6.92 [112]~P15(x1121)+E(a49,x1121)+P1(f52(x1121))
% 6.81/6.92 [113]~P15(x1131)+E(a49,x1131)+P1(f28(x1131))
% 6.81/6.92 [114]~P15(x1141)+E(a49,x1141)+P1(f27(x1141))
% 6.81/6.92 [115]~P15(x1151)+E(a49,x1151)+P15(f58(x1151))
% 6.81/6.92 [116]~P15(x1161)+E(a49,x1161)+P15(f29(x1161))
% 6.81/6.92 [117]~P15(x1171)+E(a49,x1171)+P15(f45(x1171))
% 6.81/6.92 [121]P3(x1211)+~P15(x1211)+E(f30(x1211),f36(x1211))
% 6.81/6.92 [131]~P15(x1311)+P2(x1311)+P1(f5(x1311))
% 6.81/6.92 [132]~P15(x1321)+P2(x1321)+P1(f7(x1321))
% 6.81/6.92 [133]~P15(x1331)+P2(x1331)+P15(f8(x1331))
% 6.81/6.92 [134]~P15(x1341)+P2(x1341)+P15(f9(x1341))
% 6.81/6.92 [135]~P15(x1351)+P2(x1351)+P15(f10(x1351))
% 6.81/6.92 [136]~P15(x1361)+P16(x1361)+P1(f11(x1361))
% 6.81/6.92 [137]~P15(x1371)+P16(x1371)+P1(f12(x1371))
% 6.81/6.92 [138]~P15(x1381)+P16(x1381)+P15(f13(x1381))
% 6.81/6.92 [139]~P15(x1391)+P16(x1391)+P15(f14(x1391))
% 6.81/6.92 [140]~P15(x1401)+P16(x1401)+P15(f15(x1401))
% 6.81/6.92 [141]~P15(x1411)+P17(x1411)+P1(f17(x1411))
% 6.81/6.92 [142]~P15(x1421)+P17(x1421)+P1(f18(x1421))
% 6.81/6.92 [143]~P15(x1431)+P17(x1431)+P15(f19(x1431))
% 6.81/6.92 [144]~P15(x1441)+P17(x1441)+P15(f20(x1441))
% 6.81/6.92 [145]~P15(x1451)+P17(x1451)+P15(f21(x1451))
% 6.81/6.92 [146]~P15(x1461)+P19(x1461)+P1(f22(x1461))
% 6.81/6.92 [147]~P15(x1471)+P19(x1471)+P1(f23(x1471))
% 6.81/6.92 [148]~P15(x1481)+P19(x1481)+P15(f24(x1481))
% 6.81/6.92 [149]~P15(x1491)+P19(x1491)+P15(f25(x1491))
% 6.81/6.92 [150]~P15(x1501)+P19(x1501)+P15(f26(x1501))
% 6.81/6.92 [151]~P15(x1511)+P18(x1511)+P1(f31(x1511))
% 6.81/6.92 [152]~P15(x1521)+P18(x1521)+P1(f32(x1521))
% 6.81/6.92 [153]~P15(x1531)+P18(x1531)+P15(f33(x1531))
% 6.81/6.92 [154]~P15(x1541)+P18(x1541)+P15(f34(x1541))
% 6.81/6.92 [155]~P15(x1551)+P18(x1551)+P15(f35(x1551))
% 6.81/6.92 [156]~P15(x1561)+P3(x1561)+P1(f30(x1561))
% 6.81/6.92 [157]~P15(x1571)+P3(x1571)+P1(f36(x1571))
% 6.81/6.92 [158]~P15(x1581)+P3(x1581)+P15(f37(x1581))
% 6.81/6.93 [159]~P15(x1591)+P3(x1591)+P15(f38(x1591))
% 6.81/6.93 [160]~P15(x1601)+P3(x1601)+P15(f39(x1601))
% 6.81/6.93 [161]~P15(x1611)+P4(x1611)+P1(f40(x1611))
% 6.81/6.93 [162]~P15(x1621)+P4(x1621)+P1(f42(x1621))
% 6.81/6.93 [163]~P15(x1631)+P4(x1631)+P15(f43(x1631))
% 6.81/6.93 [164]~P15(x1641)+P4(x1641)+P15(f44(x1641))
% 6.81/6.93 [168]~P15(x1681)+P4(x1681)+~E(f42(x1681),f40(x1681))
% 6.81/6.93 [169]~P15(x1691)+~P12(x1691)+P1(f53(x1691))
% 6.81/6.93 [191]~P15(x1911)+P2(x1911)+P7(f5(x1911),f7(x1911))
% 6.81/6.93 [192]~P15(x1921)+P2(x1921)+P7(f7(x1921),f5(x1921))
% 6.81/6.93 [216]~P15(x2161)+P16(x2161)+~P7(f11(x2161),f12(x2161))
% 6.81/6.93 [217]~P15(x2171)+P16(x2171)+~P7(f12(x2171),f11(x2171))
% 6.81/6.93 [218]~P15(x2181)+P17(x2181)+~P11(f17(x2181),f18(x2181))
% 6.81/6.93 [219]~P15(x2191)+P17(x2191)+~P11(f18(x2191),f17(x2191))
% 6.81/6.93 [220]~P15(x2201)+P19(x2201)+~P7(f22(x2201),f23(x2201))
% 6.81/6.93 [221]~P15(x2211)+P18(x2211)+~P11(f31(x2211),f32(x2211))
% 6.81/6.93 [179]~P15(x1791)+~P12(x1791)+E(f6(f53(x1791),a49),x1791)
% 6.81/6.93 [187]~P15(x1871)+E(a49,x1871)+E(f6(f52(x1871),f58(x1871)),x1871)
% 6.81/6.93 [188]~P15(x1881)+E(a49,x1881)+E(f6(f28(x1881),f29(x1881)),x1881)
% 6.81/6.93 [283]P2(x2831)+~P15(x2831)+E(f4(f4(f8(x2831),f6(f5(x2831),f9(x2831))),f6(f7(x2831),f10(x2831))),x2831)
% 6.81/6.93 [284]P16(x2841)+~P15(x2841)+E(f4(f4(f13(x2841),f6(f11(x2841),f14(x2841))),f6(f12(x2841),f15(x2841))),x2841)
% 6.81/6.93 [285]P17(x2851)+~P15(x2851)+E(f4(f4(f19(x2851),f6(f17(x2851),f20(x2851))),f6(f18(x2851),f21(x2851))),x2851)
% 6.81/6.93 [286]P19(x2861)+~P15(x2861)+E(f4(f4(f24(x2861),f6(f22(x2861),f25(x2861))),f6(f23(x2861),f26(x2861))),x2861)
% 6.81/6.93 [287]P18(x2871)+~P15(x2871)+E(f4(f4(f33(x2871),f6(f31(x2871),f34(x2871))),f6(f32(x2871),f35(x2871))),x2871)
% 6.81/6.93 [288]P3(x2881)+~P15(x2881)+E(f4(f4(f37(x2881),f6(f30(x2881),f38(x2881))),f6(f36(x2881),f39(x2881))),x2881)
% 6.81/6.93 [281]P4(x2811)+~P15(x2811)+E(f4(f43(x2811),f6(f40(x2811),f6(f42(x2811),f44(x2811)))),x2811)
% 6.81/6.93 [189]~P1(x1891)+~P15(x1892)+~E(f6(x1891,x1892),a49)
% 6.81/6.93 [190]~P1(x1901)+~P15(x1902)+~E(f6(x1901,x1902),x1902)
% 6.81/6.93 [201]~P1(x2011)+~P15(x2012)+P15(f6(x2011,x2012))
% 6.81/6.93 [202]~P15(x2022)+~P15(x2021)+P15(f4(x2021,x2022))
% 6.81/6.93 [203]~P1(x2031)+~P15(x2032)+E(f52(f6(x2031,x2032)),x2031)
% 6.81/6.93 [204]~P1(x2041)+~P15(x2042)+E(f58(f6(x2041,x2042)),x2042)
% 6.81/6.93 [233]~P1(x2331)+~P15(x2332)+E(f4(f6(x2331,a49),x2332),f6(x2331,x2332))
% 6.81/6.93 [176]P5(x1761,x1762)+~P1(x1762)+~P1(x1761)+E(x1761,x1762)
% 6.81/6.93 [177]P5(x1771,x1772)+~P15(x1772)+~P15(x1771)+E(x1771,x1772)
% 6.81/6.93 [196]~P1(x1962)+~P1(x1961)+~P5(x1961,x1962)+~E(x1961,x1962)
% 6.81/6.93 [197]~P1(x1972)+~P1(x1971)+~P11(x1971,x1972)+~E(x1971,x1972)
% 6.81/6.93 [198]~P15(x1982)+~P15(x1981)+~P5(x1981,x1982)+~E(x1981,x1982)
% 6.81/6.93 [211]~P1(x2111)+~P1(x2112)+~P8(x2112,x2111)+P7(x2111,x2112)
% 6.81/6.93 [212]~P1(x2122)+~P1(x2121)+~P11(x2121,x2122)+P7(x2121,x2122)
% 6.81/6.93 [213]~P1(x2131)+~P1(x2132)+~P9(x2132,x2131)+P11(x2131,x2132)
% 6.81/6.93 [214]~P1(x2141)+~P1(x2142)+~P7(x2142,x2141)+P8(x2141,x2142)
% 6.81/6.93 [215]~P1(x2151)+~P1(x2152)+~P11(x2152,x2151)+P9(x2151,x2152)
% 6.81/6.93 [224]~P11(x2241,x2242)+~P11(x2242,x2241)+~P1(x2241)+~P1(x2242)
% 6.81/6.93 [225]~P9(x2251,x2252)+~P9(x2252,x2251)+~P1(x2251)+~P1(x2252)
% 6.81/6.93 [193]~P15(x1932)+~P15(x1931)+E(a49,x1931)+~E(f4(x1932,x1931),a49)
% 6.81/6.93 [194]~P15(x1942)+~P15(x1941)+E(a49,x1941)+~E(f4(x1941,x1942),a49)
% 6.81/6.93 [195]~P1(x1952)+~P15(x1951)+P12(x1951)+~E(f6(x1952,a49),x1951)
% 6.81/6.93 [206]~P1(x2061)+~P15(x2062)+~E(a49,x2062)+P19(f6(x2061,x2062))
% 6.81/6.93 [207]~P1(x2071)+~P15(x2072)+~E(a49,x2072)+P18(f6(x2071,x2072))
% 6.81/6.93 [236]~P1(x2362)+~P15(x2361)+~P10(x2361,x2362)+P15(f41(x2361,x2362))
% 6.81/6.93 [237]~P1(x2372)+~P15(x2371)+~P10(x2371,x2372)+P15(f47(x2371,x2372))
% 6.81/6.93 [238]~P15(x2382)+~P15(x2381)+~P6(x2381,x2382)+P15(f54(x2381,x2382))
% 6.81/6.93 [239]~P15(x2392)+~P15(x2391)+~P13(x2391,x2392)+P15(f55(x2391,x2392))
% 6.81/6.93 [240]~P15(x2402)+~P15(x2401)+~P14(x2401,x2402)+P15(f56(x2401,x2402))
% 6.81/6.93 [241]~P15(x2412)+~P15(x2411)+~P14(x2411,x2412)+P15(f57(x2411,x2412))
% 6.81/6.93 [208]~P15(x2082)+~P15(x2081)+E(a49,x2081)+E(f52(f4(x2081,x2082)),f52(x2081))
% 6.81/6.93 [235]~P15(x2352)+~P15(x2351)+E(a49,x2351)+E(f58(f4(x2351,x2352)),f4(f58(x2351),x2352))
% 6.81/6.93 [248]~P15(x2482)+~P15(x2481)+~P6(x2482,x2481)+E(f4(x2481,f54(x2482,x2481)),x2482)
% 6.81/6.93 [249]~P15(x2492)+~P15(x2491)+~P13(x2491,x2492)+E(f4(f55(x2491,x2492),x2492),x2491)
% 6.81/6.93 [280]~P15(x2802)+~P15(x2801)+~P14(x2801,x2802)+E(f4(f4(f56(x2801,x2802),x2802),f57(x2801,x2802)),x2801)
% 6.81/6.93 [279]~P1(x2792)+~P15(x2791)+~P10(x2791,x2792)+E(f4(f41(x2791,x2792),f6(x2792,f47(x2791,x2792))),x2791)
% 6.81/6.93 [267]~P1(x2671)+~P15(x2672)+~P15(x2673)+E(f4(f6(x2671,x2672),x2673),f6(x2671,f4(x2672,x2673)))
% 6.81/6.93 [268]~P15(x2683)+~P15(x2682)+~P15(x2681)+E(f4(f4(x2681,x2682),x2683),f4(x2681,f4(x2682,x2683)))
% 6.81/6.93 [223]P11(x2231,x2232)+~P1(x2232)+~P1(x2231)+~P7(x2231,x2232)+E(x2231,x2232)
% 6.81/6.93 [228]~P1(x2282)+~P1(x2281)+~P7(x2282,x2281)+~P7(x2281,x2282)+E(x2281,x2282)
% 6.81/6.93 [229]~P1(x2292)+~P1(x2291)+~P8(x2292,x2291)+~P8(x2291,x2292)+E(x2291,x2292)
% 6.81/6.93 [230]~P15(x2302)+~P15(x2301)+~P6(x2302,x2301)+~P6(x2301,x2302)+E(x2301,x2302)
% 6.81/6.93 [231]~P15(x2312)+~P15(x2311)+~P13(x2312,x2311)+~P13(x2311,x2312)+E(x2311,x2312)
% 6.81/6.93 [232]~P15(x2322)+~P15(x2321)+~P14(x2322,x2321)+~P14(x2321,x2322)+E(x2321,x2322)
% 6.81/6.93 [178]~P15(x1781)+~P15(x1782)+~E(a49,x1781)+~E(a49,x1782)+E(f4(x1781,x1782),a49)
% 6.81/6.93 [244]P19(x2441)+~P15(x2441)+~P1(x2442)+E(a49,x2441)+~P19(f6(x2442,x2441))
% 6.81/6.93 [245]P18(x2451)+~P15(x2451)+~P1(x2452)+E(a49,x2451)+~P18(f6(x2452,x2451))
% 6.81/6.93 [258]~P1(x2582)+~P15(x2581)+E(a49,x2581)+P7(x2582,f52(x2581))+~P19(f6(x2582,x2581))
% 6.81/6.93 [259]~P1(x2592)+~P15(x2591)+E(a49,x2591)+P11(x2592,f52(x2591))+~P18(f6(x2592,x2591))
% 6.81/6.93 [278]~P1(x2782)+~P15(x2781)+~P5(a48,a49)+~E(f4(f6(x2782,a49),x2781),a2)+~E(f4(x2781,f6(x2782,a49)),a46)
% 6.81/6.93 [226]~P15(x2261)+~P15(x2262)+~P15(x2263)+P6(x2261,x2262)+~E(f4(x2262,x2263),x2261)
% 6.81/6.93 [227]~P15(x2271)+~P15(x2272)+~P15(x2273)+P13(x2271,x2272)+~E(f4(x2273,x2272),x2271)
% 6.81/6.93 [234]~E(x2343,x2341)+~P1(x2341)+~P1(x2343)+~P15(x2342)+P10(f6(x2341,x2342),x2343)
% 6.81/6.93 [242]~P15(x2422)+~P15(x2423)+~P15(x2421)+E(x2421,x2422)+~E(f4(x2423,x2421),f4(x2423,x2422))
% 6.81/6.93 [243]~P15(x2432)+~P15(x2433)+~P15(x2431)+E(x2431,x2432)+~E(f4(x2431,x2433),f4(x2432,x2433))
% 6.81/6.93 [260]~P1(x2601)+~P1(x2603)+~P15(x2602)+~P10(x2602,x2603)+P10(f6(x2601,x2602),x2603)
% 6.81/6.93 [261]~P1(x2613)+~P15(x2611)+~P15(x2612)+~P10(x2612,x2613)+P10(f4(x2611,x2612),x2613)
% 6.81/6.93 [262]~P1(x2623)+~P15(x2622)+~P15(x2621)+~P10(x2621,x2623)+P10(f4(x2621,x2622),x2623)
% 6.81/6.93 [263]~P15(x2632)+~P15(x2633)+~P15(x2631)+~P6(x2631,x2633)+P6(f4(x2631,x2632),x2633)
% 6.81/6.93 [264]~P15(x2641)+~P15(x2643)+~P15(x2642)+~P13(x2642,x2643)+P13(f4(x2641,x2642),x2643)
% 6.81/6.93 [265]~P1(x2652)+~P15(x2651)+~P19(x2651)+~P7(x2652,f52(x2651))+E(a49,x2651)+P19(f6(x2652,x2651))
% 6.81/6.93 [266]~P1(x2662)+~P15(x2661)+~P18(x2661)+~P11(x2662,f52(x2661))+E(a49,x2661)+P18(f6(x2662,x2661))
% 6.81/6.93 [250]~P15(x2502)+~P15(x2501)+~P6(x2503,x2502)+~P6(x2501,x2503)+P6(x2501,x2502)+~P15(x2503)
% 6.81/6.93 [251]~P15(x2512)+~P15(x2511)+~P13(x2513,x2512)+~P13(x2511,x2513)+P13(x2511,x2512)+~P15(x2513)
% 6.81/6.93 [252]~P15(x2522)+~P15(x2521)+~P14(x2523,x2522)+~P14(x2521,x2523)+P14(x2521,x2522)+~P15(x2523)
% 6.81/6.93 [253]~P1(x2532)+~P1(x2531)+~P7(x2533,x2532)+~P7(x2531,x2533)+P7(x2531,x2532)+~P1(x2533)
% 6.81/6.93 [254]~P1(x2542)+~P1(x2541)+~P7(x2541,x2543)+~P11(x2543,x2542)+P11(x2541,x2542)+~P1(x2543)
% 6.81/6.93 [255]~P1(x2552)+~P1(x2551)+~P11(x2553,x2552)+~P11(x2551,x2553)+P11(x2551,x2552)+~P1(x2553)
% 6.81/6.93 [256]~P1(x2562)+~P1(x2561)+~P8(x2563,x2562)+~P8(x2561,x2563)+P8(x2561,x2562)+~P1(x2563)
% 6.81/6.93 [257]~P1(x2572)+~P1(x2571)+~P9(x2573,x2572)+~P9(x2571,x2573)+P9(x2571,x2572)+~P1(x2573)
% 6.81/6.93 [269]~P1(x2692)+~P1(x2691)+~P15(x2693)+E(x2691,x2692)+P10(x2693,x2692)+~P10(f6(x2691,x2693),x2692)
% 6.81/6.93 [272]~P1(x2722)+~P15(x2721)+~P15(x2723)+P10(x2721,x2722)+P10(x2723,x2722)+~P10(f4(x2723,x2721),x2722)
% 6.81/6.93 [246]~P1(x2464)+~P1(x2463)+~P15(x2462)+~P15(x2461)+E(x2461,x2462)+~E(f6(x2463,x2462),f6(x2464,x2461))
% 6.81/6.93 [247]~P1(x2472)+~P1(x2471)+~P15(x2474)+~P15(x2473)+E(x2471,x2472)+~E(f6(x2471,x2473),f6(x2472,x2474))
% 6.81/6.93 [274]~P1(x2742)+~P1(x2741)+E(x2741,x2742)+~P15(x2743)+~P15(x2744)+~P6(f6(x2741,x2744),f6(x2742,x2743))
% 6.81/6.93 [277]~P15(x2772)+~P15(x2771)+P6(x2771,x2772)+~P1(x2773)+~P1(x2774)+~P6(f6(x2774,x2771),f6(x2773,x2772))
% 6.81/6.93 [270]~P1(x2702)+~P15(x2701)+~P15(x2704)+~P15(x2703)+P10(x2701,x2702)+~E(f4(x2703,f6(x2702,x2704)),x2701)
% 6.81/6.93 [271]~P15(x2711)+~P15(x2712)+~P15(x2714)+~P15(x2713)+P14(x2711,x2712)+~E(f4(f4(x2713,x2712),x2714),x2711)
% 6.81/6.93 [276]~P15(x2763)+~P15(x2761)+~P15(x2764)+~P15(x2762)+~P14(x2762,x2764)+P14(f4(f4(x2761,x2762),x2763),x2764)
% 6.81/6.93 [205]~P15(x2052)+~P15(x2051)+E(x2051,x2052)+E(a49,x2052)+E(a49,x2051)+~E(f52(x2051),f52(x2052))+~E(f58(x2051),f58(x2052))
% 6.81/6.93 [273]~E(x2731,x2733)+~P1(x2733)+~P1(x2731)+~P15(x2734)+~P15(x2732)+~P6(x2732,x2734)+P6(f6(x2731,x2732),f6(x2733,x2734))
% 6.81/6.93 [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)
% 6.81/6.93 [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)
% 6.81/6.93 [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)
% 6.81/6.93 [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)
% 6.81/6.93 [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)
% 6.81/6.93 [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)
% 6.81/6.93 [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)
% 6.81/6.93 %EqnAxiom
% 6.81/6.93 [1]E(x11,x11)
% 6.81/6.93 [2]E(x22,x21)+~E(x21,x22)
% 6.81/6.93 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 6.81/6.93 [4]~E(x41,x42)+E(f52(x41),f52(x42))
% 6.81/6.93 [5]~E(x51,x52)+E(f27(x51),f27(x52))
% 6.81/6.93 [6]~E(x61,x62)+E(f58(x61),f58(x62))
% 6.81/6.93 [7]~E(x71,x72)+E(f45(x71),f45(x72))
% 6.81/6.93 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 6.81/6.93 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 6.81/6.93 [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 6.81/6.93 [11]~E(x111,x112)+E(f6(x111,x113),f6(x112,x113))
% 6.81/6.93 [12]~E(x121,x122)+E(f6(x123,x121),f6(x123,x122))
% 6.81/6.93 [13]~E(x131,x132)+E(f56(x131,x133),f56(x132,x133))
% 6.81/6.93 [14]~E(x141,x142)+E(f56(x143,x141),f56(x143,x142))
% 6.81/6.93 [15]~E(x151,x152)+E(f29(x151),f29(x152))
% 6.81/6.93 [16]~E(x161,x162)+E(f43(x161),f43(x162))
% 6.81/6.93 [17]~E(x171,x172)+E(f30(x171),f30(x172))
% 6.81/6.93 [18]~E(x181,x182)+E(f36(x181),f36(x182))
% 6.81/6.93 [19]~E(x191,x192)+E(f47(x191,x193),f47(x192,x193))
% 6.81/6.93 [20]~E(x201,x202)+E(f47(x203,x201),f47(x203,x202))
% 6.81/6.93 [21]~E(x211,x212)+E(f41(x211,x213),f41(x212,x213))
% 6.81/6.93 [22]~E(x221,x222)+E(f41(x223,x221),f41(x223,x222))
% 6.81/6.93 [23]~E(x231,x232)+E(f5(x231),f5(x232))
% 6.81/6.93 [24]~E(x241,x242)+E(f7(x241),f7(x242))
% 6.81/6.93 [25]~E(x251,x252)+E(f8(x251),f8(x252))
% 6.81/6.93 [26]~E(x261,x262)+E(f9(x261),f9(x262))
% 6.81/6.93 [27]~E(x271,x272)+E(f10(x271),f10(x272))
% 6.81/6.93 [28]~E(x281,x282)+E(f11(x281),f11(x282))
% 6.81/6.93 [29]~E(x291,x292)+E(f12(x291),f12(x292))
% 6.81/6.93 [30]~E(x301,x302)+E(f13(x301),f13(x302))
% 6.81/6.93 [31]~E(x311,x312)+E(f14(x311),f14(x312))
% 6.81/6.93 [32]~E(x321,x322)+E(f15(x321),f15(x322))
% 6.81/6.93 [33]~E(x331,x332)+E(f17(x331),f17(x332))
% 6.81/6.93 [34]~E(x341,x342)+E(f18(x341),f18(x342))
% 6.81/6.93 [35]~E(x351,x352)+E(f19(x351),f19(x352))
% 6.81/6.93 [36]~E(x361,x362)+E(f20(x361),f20(x362))
% 6.81/6.93 [37]~E(x371,x372)+E(f21(x371),f21(x372))
% 6.81/6.93 [38]~E(x381,x382)+E(f22(x381),f22(x382))
% 6.81/6.93 [39]~E(x391,x392)+E(f23(x391),f23(x392))
% 6.81/6.93 [40]~E(x401,x402)+E(f24(x401),f24(x402))
% 6.81/6.93 [41]~E(x411,x412)+E(f25(x411),f25(x412))
% 6.81/6.93 [42]~E(x421,x422)+E(f26(x421),f26(x422))
% 6.81/6.93 [43]~E(x431,x432)+E(f31(x431),f31(x432))
% 6.81/6.93 [44]~E(x441,x442)+E(f32(x441),f32(x442))
% 6.81/6.93 [45]~E(x451,x452)+E(f33(x451),f33(x452))
% 6.81/6.93 [46]~E(x461,x462)+E(f34(x461),f34(x462))
% 6.81/6.93 [47]~E(x471,x472)+E(f35(x471),f35(x472))
% 6.81/6.93 [48]~E(x481,x482)+E(f55(x481,x483),f55(x482,x483))
% 6.81/6.93 [49]~E(x491,x492)+E(f55(x493,x491),f55(x493,x492))
% 6.81/6.93 [50]~E(x501,x502)+E(f37(x501),f37(x502))
% 6.81/6.93 [51]~E(x511,x512)+E(f38(x511),f38(x512))
% 6.81/6.93 [52]~E(x521,x522)+E(f57(x521,x523),f57(x522,x523))
% 6.81/6.93 [53]~E(x531,x532)+E(f57(x533,x531),f57(x533,x532))
% 6.81/6.93 [54]~E(x541,x542)+E(f39(x541),f39(x542))
% 6.81/6.93 [55]~E(x551,x552)+E(f40(x551),f40(x552))
% 6.81/6.93 [56]~E(x561,x562)+E(f42(x561),f42(x562))
% 6.81/6.93 [57]~E(x571,x572)+E(f54(x571,x573),f54(x572,x573))
% 6.81/6.93 [58]~E(x581,x582)+E(f54(x583,x581),f54(x583,x582))
% 6.81/6.93 [59]~E(x591,x592)+E(f44(x591),f44(x592))
% 6.81/6.93 [60]~E(x601,x602)+E(f53(x601),f53(x602))
% 6.81/6.93 [61]~P1(x611)+P1(x612)+~E(x611,x612)
% 6.81/6.93 [62]P7(x622,x623)+~E(x621,x622)+~P7(x621,x623)
% 6.81/6.93 [63]P7(x633,x632)+~E(x631,x632)+~P7(x633,x631)
% 6.81/6.93 [64]~P15(x641)+P15(x642)+~E(x641,x642)
% 6.81/6.93 [65]P10(x652,x653)+~E(x651,x652)+~P10(x651,x653)
% 6.81/6.93 [66]P10(x663,x662)+~E(x661,x662)+~P10(x663,x661)
% 6.81/6.93 [67]~P2(x671)+P2(x672)+~E(x671,x672)
% 6.81/6.93 [68]~P12(x681)+P12(x682)+~E(x681,x682)
% 6.81/6.93 [69]~P18(x691)+P18(x692)+~E(x691,x692)
% 6.81/6.93 [70]P5(x702,x703)+~E(x701,x702)+~P5(x701,x703)
% 6.81/6.93 [71]P5(x713,x712)+~E(x711,x712)+~P5(x713,x711)
% 6.81/6.93 [72]~P16(x721)+P16(x722)+~E(x721,x722)
% 6.81/6.93 [73]~P17(x731)+P17(x732)+~E(x731,x732)
% 6.81/6.93 [74]~P19(x741)+P19(x742)+~E(x741,x742)
% 6.81/6.93 [75]P11(x752,x753)+~E(x751,x752)+~P11(x751,x753)
% 6.81/6.93 [76]P11(x763,x762)+~E(x761,x762)+~P11(x763,x761)
% 6.81/6.93 [77]~P3(x771)+P3(x772)+~E(x771,x772)
% 6.81/6.93 [78]~P4(x781)+P4(x782)+~E(x781,x782)
% 6.81/6.93 [79]P14(x792,x793)+~E(x791,x792)+~P14(x791,x793)
% 6.81/6.93 [80]P14(x803,x802)+~E(x801,x802)+~P14(x803,x801)
% 6.81/6.93 [81]P13(x812,x813)+~E(x811,x812)+~P13(x811,x813)
% 6.81/6.93 [82]P13(x823,x822)+~E(x821,x822)+~P13(x823,x821)
% 6.81/6.93 [83]P8(x832,x833)+~E(x831,x832)+~P8(x831,x833)
% 6.81/6.93 [84]P8(x843,x842)+~E(x841,x842)+~P8(x843,x841)
% 6.81/6.93 [85]P6(x852,x853)+~E(x851,x852)+~P6(x851,x853)
% 6.81/6.93 [86]P6(x863,x862)+~E(x861,x862)+~P6(x863,x861)
% 6.81/6.93 [87]P9(x872,x873)+~E(x871,x872)+~P9(x871,x873)
% 6.81/6.93 [88]P9(x883,x882)+~E(x881,x882)+~P9(x883,x881)
% 6.81/6.93
% 6.81/6.93 %-------------------------------------------
% 6.81/6.93 cnf(299,plain,
% 6.81/6.93 (~P5(x2991,x2991)+~P1(x2991)+~P1(x2991)),
% 6.81/6.93 inference(equality_inference,[],[196])).
% 6.81/6.93 cnf(301,plain,
% 6.81/6.93 (~P5(x3011,x3011)+~P15(x3011)+~P15(x3011)),
% 6.81/6.93 inference(equality_inference,[],[198])).
% 6.81/6.93 cnf(327,plain,
% 6.81/6.93 (P5(a48,a49)),
% 6.81/6.93 inference(scs_inference,[],[89,90,94,105,91,2,175,299,301,70])).
% 6.81/6.93 cnf(334,plain,
% 6.81/6.93 (P1(a50)),
% 6.81/6.93 inference(scs_inference,[],[327,124])).
% 6.81/6.93 cnf(335,plain,
% 6.81/6.93 (P15(a51)),
% 6.81/6.93 inference(scs_inference,[],[327,125])).
% 6.81/6.93 cnf(336,plain,
% 6.81/6.93 (E(f4(a51,f6(a50,a49)),a48)),
% 6.81/6.93 inference(scs_inference,[],[327,209])).
% 6.81/6.93 cnf(337,plain,
% 6.81/6.93 (E(f4(f6(a50,a49),a51),a1)),
% 6.81/6.93 inference(scs_inference,[],[327,210])).
% 6.81/6.93 cnf(338,plain,
% 6.81/6.93 (~P1(x3381)+~P15(x3382)+~E(f4(x3382,f6(x3381,a49)),a46)+~E(f4(f6(x3381,a49),x3382),a2)),
% 6.81/6.93 inference(scs_inference,[],[327,278])).
% 6.81/6.93 cnf(341,plain,
% 6.81/6.93 (E(a48,a46)),
% 6.81/6.93 inference(scs_inference,[],[90,92,175,2])).
% 6.81/6.93 cnf(357,plain,
% 6.81/6.93 (E(f4(f6(a50,a49),a51),a2)),
% 6.81/6.93 inference(scs_inference,[],[89,337,334,175,2,3])).
% 6.81/6.93 cnf(363,plain,
% 6.81/6.93 (~E(a49,a46)),
% 6.81/6.93 inference(scs_inference,[],[89,105,337,95,96,334,175,2,3,64,299,301,71])).
% 6.81/6.93 cnf(374,plain,
% 6.81/6.93 (E(a48,f4(a51,f6(a50,a49)))),
% 6.81/6.93 inference(scs_inference,[],[336,2])).
% 6.81/6.93 cnf(378,plain,
% 6.81/6.93 (P15(f4(a51,f6(a50,a49)))),
% 6.81/6.93 inference(scs_inference,[],[336,97,363,341,2,301,3,64])).
% 6.81/6.93 cnf(1367,plain,
% 6.81/6.93 (P13(f4(a51,f6(a50,a49)),a48)),
% 6.81/6.93 inference(scs_inference,[],[97,374,127,81])).
% 6.81/6.93 cnf(1369,plain,
% 6.81/6.93 (P13(f4(a51,f6(a50,a49)),f4(a51,f6(a50,a49)))),
% 6.81/6.93 inference(scs_inference,[],[336,374,1367,81,82])).
% 6.81/6.93 cnf(1372,plain,
% 6.81/6.93 (P13(a48,f4(a51,f6(a50,a49)))),
% 6.81/6.93 inference(scs_inference,[],[336,1369,81])).
% 6.81/6.93 cnf(1388,plain,
% 6.81/6.93 (P14(f4(a51,f6(a50,a49)),a48)),
% 6.81/6.93 inference(scs_inference,[],[97,374,128,79])).
% 6.81/6.93 cnf(1390,plain,
% 6.81/6.93 (P14(a48,a48)),
% 6.81/6.93 inference(scs_inference,[],[336,374,1388,80,79])).
% 6.81/6.93 cnf(1393,plain,
% 6.81/6.93 (P14(a48,f4(a51,f6(a50,a49)))),
% 6.81/6.93 inference(scs_inference,[],[374,1390,80])).
% 6.81/6.93 cnf(1463,plain,
% 6.81/6.93 (P13(a46,f4(a51,f6(a50,a49)))),
% 6.81/6.93 inference(scs_inference,[],[341,1367,1372,1393,82,79,81])).
% 6.81/6.93 cnf(1467,plain,
% 6.81/6.93 (E(f4(a51,f6(a50,a49)),a46)),
% 6.81/6.93 inference(scs_inference,[],[95,341,378,1367,1372,1388,1393,82,79,81,80,231,232])).
% 6.81/6.93 cnf(1471,plain,
% 6.81/6.93 (P13(a48,a46)),
% 6.81/6.93 inference(scs_inference,[],[95,97,341,378,1367,1372,1388,1393,82,79,81,80,231,232,252,251])).
% 6.81/6.93 cnf(1484,plain,
% 6.81/6.93 ($false),
% 6.81/6.93 inference(scs_inference,[],[336,341,334,335,357,1390,1467,1463,1471,82,79,81,80,338]),
% 6.81/6.93 ['proof']).
% 6.81/6.93 % SZS output end Proof
% 6.81/6.93 % Total time :6.380000s
%------------------------------------------------------------------------------