%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWC153-1 : 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 : n023.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 16:14:16 EDT 2024
% Result : Unsatisfiable 0.51s 0.84s
% Output : CNFRefutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWC153-1 : TPTP v8.2.0. Released v2.4.0.
% 0.05/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu Jun 20 06:05:39 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.50/0.56 start to proof:theBenchmark
% 0.51/0.84 %-------------------------------------------
% 0.51/0.84 % File :CSE---1.7
% 0.51/0.84 % Problem :theBenchmark
% 0.51/0.84 % Transform :cnf
% 0.51/0.84 % Format :tptp:raw
% 0.51/0.84 % Command :java -jar mcs_scs.jar %d %s
% 0.51/0.84
% 0.51/0.84 % Result :Theorem 0.180000s
% 0.51/0.84 % Output :CNFRefutation 0.180000s
% 0.51/0.84 %-------------------------------------------
% 0.51/0.84 %--------------------------------------------------------------------------
% 0.51/0.84 % File : SWC153-1 : TPTP v8.2.0. Released v2.4.0.
% 0.51/0.84 % Domain : Software Creation
% 0.51/0.84 % Problem : cond_pst_cyc_sorted_x_pst_cyc_sorted
% 0.51/0.84 % Version : [Wei00] axioms.
% 0.51/0.84 % English : Find components in a software library that match a given target
% 0.51/0.84 % specification given in first-order logic. The components are
% 0.51/0.84 % specified in first-order logic as well. The problem represents
% 0.51/0.84 % a test of one library module specification against a target
% 0.51/0.84 % specification.
% 0.51/0.84
% 0.51/0.84 % Refs : [Wei00] Weidenbach (2000), Software Reuse of List Functions Ve
% 0.51/0.84 % : [FSS98] Fischer et al. (1998), Deduction-Based Software Compon
% 0.51/0.84 % Source : [TPTP]
% 0.51/0.84 % Names :
% 0.51/0.84
% 0.51/0.84 % Status : Unsatisfiable
% 0.51/0.84 % Rating : 0.25 v8.2.0, 0.29 v8.1.0, 0.21 v7.5.0, 0.26 v7.4.0, 0.29 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.33 v6.4.0, 0.27 v6.2.0, 0.40 v6.1.0, 0.50 v5.5.0, 0.75 v5.3.0, 0.78 v5.2.0, 0.62 v5.1.0, 0.65 v5.0.0, 0.57 v4.1.0, 0.54 v4.0.1, 0.45 v4.0.0, 0.55 v3.7.0, 0.40 v3.5.0, 0.45 v3.4.0, 0.58 v3.3.0, 0.50 v3.2.0, 0.62 v3.1.0, 0.45 v2.7.0, 0.67 v2.5.0, 0.78 v2.4.0
% 0.51/0.84 % Syntax : Number of clauses : 204 ( 67 unt; 33 nHn; 161 RR)
% 0.51/0.84 % Number of literals : 652 ( 104 equ; 428 neg)
% 0.51/0.84 % Maximal clause size : 10 ( 3 avg)
% 0.51/0.84 % Maximal term depth : 6 ( 1 avg)
% 0.51/0.84 % Number of predicates : 20 ( 19 usr; 0 prp; 1-2 aty)
% 0.51/0.84 % Number of functors : 59 ( 59 usr; 13 con; 0-2 aty)
% 0.51/0.84 % Number of variables : 343 ( 49 sgn)
% 0.51/0.84 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.51/0.84
% 0.51/0.84 % Comments : Created by CNF conversion from SWC153+1
% 0.51/0.84 %--------------------------------------------------------------------------
% 0.51/0.84 %----Include list specification axioms
% 0.51/0.84 include('Axioms/SWC001-0.ax').
% 0.51/0.84 %--------------------------------------------------------------------------
% 0.51/0.84 cnf(co1_1,negated_conjecture,
% 0.51/0.84 ssList(sk1) ).
% 0.51/0.84
% 0.51/0.84 cnf(co1_2,negated_conjecture,
% 0.51/0.84 ssList(sk2) ).
% 0.51/0.84
% 0.51/0.84 cnf(co1_3,negated_conjecture,
% 0.51/0.84 ssList(sk3) ).
% 0.51/0.84
% 0.51/0.84 cnf(co1_4,negated_conjecture,
% 0.51/0.84 ssList(sk4) ).
% 0.51/0.84
% 0.51/0.84 cnf(co1_5,negated_conjecture,
% 0.51/0.84 sk4 = sk2 ).
% 0.51/0.84
% 0.51/0.84 cnf(co1_6,negated_conjecture,
% 0.51/0.84 sk3 = sk1 ).
% 0.51/0.84
% 0.51/0.84 cnf(co1_7,negated_conjecture,
% 0.51/0.84 ( ~ ssItem(A)
% 0.51/0.84 | ~ ssItem(B)
% 0.51/0.84 | ~ ssList(C)
% 0.51/0.84 | ~ ssList(D)
% 0.51/0.84 | ~ ssList(E)
% 0.51/0.84 | app(app(app(app(C,cons(A,nil)),D),cons(B,nil)),E) != sk3
% 0.51/0.84 | ~ leq(B,A)
% 0.51/0.84 | leq(A,B) ) ).
% 0.51/0.84
% 0.51/0.84 cnf(co1_8,negated_conjecture,
% 0.51/0.84 ( ~ ssItem(A)
% 0.51/0.84 | ~ ssItem(B)
% 0.51/0.84 | ~ ssList(C)
% 0.51/0.84 | ~ ssList(D)
% 0.51/0.84 | ~ ssList(E)
% 0.51/0.84 | app(app(app(app(C,cons(A,nil)),D),cons(B,nil)),E) != sk3
% 0.51/0.84 | ~ leq(B,A)
% 0.51/0.84 | ~ ssItem(F)
% 0.51/0.84 | ~ memberP(D,F)
% 0.51/0.84 | leq(A,F) ) ).
% 0.51/0.84
% 0.51/0.84 cnf(co1_9,negated_conjecture,
% 0.51/0.84 ( ~ ssItem(A)
% 0.51/0.84 | ~ ssItem(B)
% 0.51/0.84 | ~ ssList(C)
% 0.51/0.84 | ~ ssList(D)
% 0.51/0.84 | ~ ssList(E)
% 0.51/0.84 | app(app(app(app(C,cons(A,nil)),D),cons(B,nil)),E) != sk3
% 0.51/0.84 | ~ leq(B,A)
% 0.51/0.84 | ~ ssItem(F)
% 0.51/0.84 | ~ memberP(D,F)
% 0.51/0.84 | leq(F,B) ) ).
% 0.51/0.84
% 0.51/0.84 cnf(co1_10,negated_conjecture,
% 0.51/0.84 ssItem(sk5) ).
% 0.51/0.84
% 0.51/0.84 cnf(co1_11,negated_conjecture,
% 0.51/0.84 ssItem(sk6) ).
% 0.51/0.84
% 0.51/0.84 cnf(co1_12,negated_conjecture,
% 0.51/0.84 ssList(sk7) ).
% 0.51/0.84
% 0.51/0.84 cnf(co1_13,negated_conjecture,
% 0.51/0.84 ssList(sk8) ).
% 0.51/0.84
% 0.51/0.84 cnf(co1_14,negated_conjecture,
% 0.51/0.84 ssList(sk9) ).
% 0.51/0.84
% 0.51/0.84 cnf(co1_15,negated_conjecture,
% 0.51/0.84 app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1 ).
% 0.51/0.84
% 0.51/0.84 cnf(co1_16,negated_conjecture,
% 0.51/0.84 leq(sk6,sk5) ).
% 0.51/0.84
% 0.51/0.84 cnf(co1_17,negated_conjecture,
% 0.51/0.84 ( ssItem(sk10)
% 0.51/0.84 | ~ leq(sk5,sk6) ) ).
% 0.51/0.84
% 0.51/0.84 cnf(co1_18,negated_conjecture,
% 0.51/0.84 ( memberP(sk8,sk10)
% 0.51/0.84 | ~ leq(sk5,sk6) ) ).
% 0.51/0.84
% 0.51/0.84 cnf(co1_19,negated_conjecture,
% 0.51/0.84 ( ~ leq(sk10,sk6)
% 0.51/0.84 | ~ leq(sk5,sk10)
% 0.51/0.84 | ~ leq(sk5,sk6) ) ).
% 0.51/0.84
% 0.51/0.84 %--------------------------------------------------------------------------
% 0.51/0.84 %-------------------------------------------
% 0.51/0.84 % Proof found
% 0.51/0.84 % SZS status Theorem for theBenchmark
% 0.51/0.84 % SZS output start Proof
% 0.51/0.84 %ClaNum:289(EqnAxiom:85)
% 0.51/0.84 %VarNum:939(SingletonVarNum:339)
% 0.51/0.84 %MaxLitNum:10
% 0.51/0.84 %MaxfuncDepth:4
% 0.51/0.84 %SharedTerms:49
% 0.51/0.84 %goalClause: 86 87 96 97 98 99 100 101 102 105 106 143 150 163 177 223 287 288 289
% 0.51/0.84 %singleGoalClaCount:13
% 0.51/0.84 [86]E(a1,a2)
% 0.51/0.84 [87]E(a7,a9)
% 0.51/0.84 [88]P1(a3)
% 0.51/0.84 [89]P2(a3)
% 0.51/0.84 [90]P4(a3)
% 0.51/0.84 [91]P18(a3)
% 0.51/0.84 [92]P5(a3)
% 0.51/0.84 [93]P19(a3)
% 0.51/0.84 [94]P3(a3)
% 0.51/0.84 [95]P6(a3)
% 0.51/0.84 [96]P6(a2)
% 0.51/0.84 [97]P6(a7)
% 0.51/0.84 [98]P6(a1)
% 0.51/0.84 [99]P6(a9)
% 0.51/0.84 [100]P6(a10)
% 0.51/0.84 [101]P6(a13)
% 0.51/0.84 [102]P6(a14)
% 0.51/0.84 [103]P7(a15)
% 0.51/0.84 [104]P7(a16)
% 0.51/0.84 [105]P7(a11)
% 0.51/0.84 [106]P7(a12)
% 0.51/0.84 [143]P8(a12,a11)
% 0.51/0.84 [151]~E(a16,a15)
% 0.51/0.84 [152]~P12(a3)
% 0.51/0.84 [150]E(f5(f5(f5(f5(a10,f4(a11,a3)),a13),f4(a12,a3)),a14),a2)
% 0.51/0.84 [107]P6(f17(x1071))
% 0.51/0.84 [108]P6(f18(x1081))
% 0.51/0.84 [109]P6(f19(x1091))
% 0.51/0.84 [110]P6(f20(x1101))
% 0.51/0.84 [111]P6(f21(x1111))
% 0.51/0.84 [112]P6(f22(x1121))
% 0.51/0.84 [113]P6(f23(x1131))
% 0.51/0.84 [114]P6(f24(x1141))
% 0.51/0.84 [115]P6(f25(x1151))
% 0.51/0.84 [116]P6(f26(x1161))
% 0.51/0.84 [117]P6(f27(x1171))
% 0.51/0.84 [118]P6(f28(x1181))
% 0.51/0.84 [119]P6(f29(x1191))
% 0.51/0.84 [120]P6(f30(x1201))
% 0.51/0.84 [121]P6(f31(x1211))
% 0.51/0.84 [122]P6(f32(x1221))
% 0.51/0.84 [123]P6(f33(x1231))
% 0.51/0.84 [124]P6(f34(x1241))
% 0.51/0.84 [125]P6(f35(x1251))
% 0.51/0.84 [126]P6(f36(x1261))
% 0.51/0.84 [127]P6(f37(x1271))
% 0.51/0.84 [128]P7(f58(x1281))
% 0.51/0.84 [129]P7(f56(x1291))
% 0.51/0.84 [130]P7(f57(x1301))
% 0.51/0.84 [131]P7(f55(x1311))
% 0.51/0.84 [132]P7(f53(x1321))
% 0.51/0.84 [133]P7(f54(x1331))
% 0.51/0.84 [134]P7(f51(x1341))
% 0.51/0.84 [135]P7(f52(x1351))
% 0.51/0.84 [136]P7(f49(x1361))
% 0.51/0.84 [137]P7(f50(x1371))
% 0.51/0.84 [138]P7(f47(x1381))
% 0.51/0.84 [139]P7(f48(x1391))
% 0.51/0.84 [140]P7(f38(x1401))
% 0.51/0.84 [141]P7(f39(x1411))
% 0.51/0.85 [142]P7(f40(x1421))
% 0.51/0.85 [144]P6(f43(x1441,x1442))
% 0.51/0.85 [145]P6(f44(x1451,x1452))
% 0.51/0.85 [146]P6(f45(x1461,x1462))
% 0.51/0.85 [147]P6(f46(x1471,x1472))
% 0.51/0.85 [148]P6(f41(x1481,x1482))
% 0.51/0.85 [149]P6(f42(x1491,x1492))
% 0.51/0.85 [163]P7(a8)+~P8(a11,a12)
% 0.51/0.85 [177]~P8(a11,a12)+P15(a13,a8)
% 0.51/0.85 [158]~P6(x1581)+P13(x1581,a3)
% 0.51/0.85 [159]~P6(x1591)+P14(x1591,a3)
% 0.51/0.85 [160]~P6(x1601)+P9(x1601,a3)
% 0.51/0.85 [164]~P7(x1641)+P10(x1641,x1641)
% 0.51/0.85 [165]~P6(x1651)+P13(x1651,x1651)
% 0.51/0.85 [166]~P6(x1661)+P14(x1661,x1661)
% 0.51/0.85 [167]~P6(x1671)+P9(x1671,x1671)
% 0.51/0.85 [168]~P7(x1681)+P8(x1681,x1681)
% 0.51/0.85 [173]~P7(x1731)+~P15(a3,x1731)
% 0.51/0.85 [178]~P16(x1781,x1781)+~P7(x1781)
% 0.51/0.85 [161]~P6(x1611)+E(f5(x1611,a3),x1611)
% 0.51/0.85 [162]~P6(x1621)+E(f5(a3,x1621),x1621)
% 0.51/0.85 [183]~P7(x1831)+P1(f4(x1831,a3))
% 0.51/0.85 [184]~P7(x1841)+P2(f4(x1841,a3))
% 0.51/0.85 [185]~P7(x1851)+P4(f4(x1851,a3))
% 0.51/0.85 [186]~P7(x1861)+P18(f4(x1861,a3))
% 0.51/0.85 [187]~P7(x1871)+P5(f4(x1871,a3))
% 0.51/0.85 [188]~P7(x1881)+P19(f4(x1881,a3))
% 0.51/0.85 [189]~P7(x1891)+P3(f4(x1891,a3))
% 0.51/0.85 [223]~P8(a11,a12)+~P8(a11,a8)+~P8(a8,a12)
% 0.51/0.85 [169]~P6(x1691)+~E(a3,x1691)+P13(a3,x1691)
% 0.51/0.85 [170]~P6(x1701)+~E(a3,x1701)+P14(a3,x1701)
% 0.51/0.85 [171]~P6(x1711)+~E(a3,x1711)+P9(a3,x1711)
% 0.51/0.85 [174]~P6(x1741)+~P13(a3,x1741)+E(a3,x1741)
% 0.51/0.85 [175]~P6(x1751)+~P14(a3,x1751)+E(a3,x1751)
% 0.51/0.85 [176]~P6(x1761)+~P9(a3,x1761)+E(a3,x1761)
% 0.51/0.85 [155]~P6(x1551)+E(a3,x1551)+P6(f59(x1551))
% 0.51/0.85 [157]~P6(x1571)+E(a3,x1571)+P7(f6(x1571))
% 0.51/0.85 [172]~P6(x1721)+P1(x1721)+~E(f57(x1721),f56(x1721))
% 0.51/0.85 [194]~P6(x1941)+P3(x1941)+P8(f38(x1941),f39(x1941))
% 0.51/0.85 [195]~P6(x1951)+P3(x1951)+P8(f39(x1951),f38(x1951))
% 0.51/0.85 [215]~P6(x2151)+P4(x2151)+~P16(f54(x2151),f53(x2151))
% 0.51/0.85 [216]~P6(x2161)+P18(x2161)+~P8(f52(x2161),f51(x2161))
% 0.51/0.85 [217]~P6(x2171)+P5(x2171)+~P16(f49(x2171),f50(x2171))
% 0.51/0.85 [218]~P6(x2181)+P5(x2181)+~P16(f50(x2181),f49(x2181))
% 0.51/0.85 [219]~P6(x2191)+P19(x2191)+~P8(f47(x2191),f48(x2191))
% 0.51/0.85 [220]~P6(x2201)+P19(x2201)+~P8(f48(x2201),f47(x2201))
% 0.51/0.85 [182]~P6(x1821)+~P12(x1821)+E(f4(f40(x1821),a3),x1821)
% 0.51/0.85 [190]~P6(x1901)+E(a3,x1901)+E(f4(f58(x1901),f17(x1901)),x1901)
% 0.51/0.85 [191]~P6(x1911)+E(a3,x1911)+E(f4(f6(x1911),f59(x1911)),x1911)
% 0.51/0.85 [275]P2(x2751)+~P6(x2751)+E(f5(f5(f22(x2751),f4(f55(x2751),f21(x2751))),f4(f55(x2751),f20(x2751))),x2751)
% 0.51/0.85 [276]P4(x2761)+~P6(x2761)+E(f5(f5(f25(x2761),f4(f54(x2761),f24(x2761))),f4(f53(x2761),f23(x2761))),x2761)
% 0.51/0.85 [277]P18(x2771)+~P6(x2771)+E(f5(f5(f28(x2771),f4(f52(x2771),f27(x2771))),f4(f51(x2771),f26(x2771))),x2771)
% 0.51/0.85 [278]P5(x2781)+~P6(x2781)+E(f5(f5(f31(x2781),f4(f50(x2781),f30(x2781))),f4(f49(x2781),f29(x2781))),x2781)
% 0.51/0.85 [279]P19(x2791)+~P6(x2791)+E(f5(f5(f34(x2791),f4(f48(x2791),f33(x2791))),f4(f47(x2791),f32(x2791))),x2791)
% 0.51/0.85 [280]P3(x2801)+~P6(x2801)+E(f5(f5(f37(x2801),f4(f39(x2801),f36(x2801))),f4(f38(x2801),f35(x2801))),x2801)
% 0.51/0.85 [273]P1(x2731)+~P6(x2731)+E(f5(f19(x2731),f4(f57(x2731),f4(f56(x2731),f18(x2731)))),x2731)
% 0.51/0.85 [153]~P6(x1531)+P2(x1531)+P7(x1532)
% 0.51/0.85 [192]~P6(x1922)+~P7(x1921)+~E(f4(x1921,x1922),a3)
% 0.51/0.85 [193]~P6(x1932)+~P7(x1931)+~E(f4(x1931,x1932),x1932)
% 0.51/0.85 [202]~P6(x2022)+~P7(x2021)+P6(f4(x2021,x2022))
% 0.51/0.85 [203]~P6(x2031)+~P6(x2032)+P6(f5(x2031,x2032))
% 0.51/0.85 [204]~P6(x2042)+~P7(x2041)+E(f59(f4(x2041,x2042)),x2042)
% 0.51/0.85 [205]~P6(x2052)+~P7(x2051)+E(f6(f4(x2051,x2052)),x2051)
% 0.51/0.85 [233]~P6(x2332)+~P7(x2331)+E(f5(f4(x2331,a3),x2332),f4(x2331,x2332))
% 0.51/0.85 [179]P17(x1792,x1791)+~P6(x1792)+~P6(x1791)+E(x1791,x1792)
% 0.51/0.85 [180]P17(x1802,x1801)+~P7(x1802)+~P7(x1801)+E(x1801,x1802)
% 0.51/0.85 [199]~P6(x1992)+~P6(x1991)+~P17(x1991,x1992)+~E(x1991,x1992)
% 0.51/0.85 [200]~P7(x2002)+~P7(x2001)+~P16(x2001,x2002)+~E(x2001,x2002)
% 0.51/0.85 [201]~P7(x2012)+~P7(x2011)+~P17(x2011,x2012)+~E(x2011,x2012)
% 0.51/0.85 [210]~P7(x2101)+~P7(x2102)+~P8(x2102,x2101)+P10(x2101,x2102)
% 0.51/0.85 [211]~P7(x2111)+~P7(x2112)+~P10(x2112,x2111)+P8(x2111,x2112)
% 0.51/0.85 [212]~P7(x2122)+~P7(x2121)+~P16(x2121,x2122)+P8(x2121,x2122)
% 0.51/0.85 [213]~P7(x2131)+~P7(x2132)+~P11(x2132,x2131)+P16(x2131,x2132)
% 0.51/0.85 [214]~P7(x2141)+~P7(x2142)+~P16(x2142,x2141)+P11(x2141,x2142)
% 0.51/0.85 [224]~P16(x2241,x2242)+~P16(x2242,x2241)+~P7(x2241)+~P7(x2242)
% 0.51/0.85 [225]~P11(x2251,x2252)+~P11(x2252,x2251)+~P7(x2251)+~P7(x2252)
% 0.81/0.85 [196]~P6(x1961)+~P6(x1962)+E(a3,x1961)+~E(f5(x1962,x1961),a3)
% 0.81/0.85 [197]~P6(x1972)+~P6(x1971)+E(a3,x1971)+~E(f5(x1971,x1972),a3)
% 0.81/0.85 [198]~P6(x1981)+~P7(x1982)+P12(x1981)+~E(f4(x1982,a3),x1981)
% 0.81/0.85 [207]~P6(x2072)+~P7(x2071)+~E(a3,x2072)+P4(f4(x2071,x2072))
% 0.81/0.85 [208]~P6(x2082)+~P7(x2081)+~E(a3,x2082)+P18(f4(x2081,x2082))
% 0.81/0.85 [209]~P6(x2091)+~P6(x2092)+E(a3,x2091)+E(f6(f5(x2091,x2092)),f6(x2091))
% 0.81/0.85 [235]~P6(x2351)+~P6(x2352)+E(a3,x2351)+E(f59(f5(x2351,x2352)),f5(f59(x2351),x2352))
% 0.81/0.85 [242]~P6(x2421)+~P6(x2422)+~P9(x2422,x2421)+E(f5(x2421,f46(x2422,x2421)),x2422)
% 0.81/0.85 [243]~P6(x2432)+~P6(x2431)+~P14(x2431,x2432)+E(f5(f45(x2431,x2432),x2432),x2431)
% 0.81/0.85 [272]~P6(x2722)+~P6(x2721)+~P13(x2721,x2722)+E(f5(f5(f44(x2721,x2722),x2722),f43(x2722,x2721)),x2721)
% 0.81/0.85 [271]~P6(x2711)+~P7(x2712)+~P15(x2711,x2712)+E(f5(f42(x2711,x2712),f4(x2712,f41(x2712,x2711))),x2711)
% 0.81/0.85 [261]~P6(x2613)+~P6(x2612)+~P7(x2611)+E(f5(f4(x2611,x2612),x2613),f4(x2611,f5(x2612,x2613)))
% 0.81/0.85 [262]~P6(x2621)+~P6(x2622)+~P6(x2623)+E(f5(f5(x2621,x2622),x2623),f5(x2621,f5(x2622,x2623)))
% 0.81/0.85 [222]P16(x2221,x2222)+~P7(x2222)+~P7(x2221)+~P8(x2221,x2222)+E(x2221,x2222)
% 0.81/0.85 [228]~P6(x2282)+~P6(x2281)+~P13(x2282,x2281)+~P13(x2281,x2282)+E(x2281,x2282)
% 0.81/0.85 [229]~P6(x2292)+~P6(x2291)+~P14(x2292,x2291)+~P14(x2291,x2292)+E(x2291,x2292)
% 0.81/0.85 [230]~P6(x2302)+~P6(x2301)+~P9(x2302,x2301)+~P9(x2301,x2302)+E(x2301,x2302)
% 0.81/0.85 [231]~P7(x2312)+~P7(x2311)+~P10(x2312,x2311)+~P10(x2311,x2312)+E(x2311,x2312)
% 0.81/0.85 [232]~P7(x2322)+~P7(x2321)+~P8(x2322,x2321)+~P8(x2321,x2322)+E(x2321,x2322)
% 0.81/0.85 [181]~P6(x1812)+~P6(x1811)+~E(a3,x1812)+~E(a3,x1811)+E(f5(x1811,x1812),a3)
% 0.81/0.85 [238]P4(x2381)+~P6(x2381)+~P7(x2382)+E(a3,x2381)+~P4(f4(x2382,x2381))
% 0.81/0.85 [239]P18(x2391)+~P6(x2391)+~P7(x2392)+E(a3,x2391)+~P18(f4(x2392,x2391))
% 0.81/0.85 [252]~P6(x2521)+~P7(x2522)+E(a3,x2521)+P8(x2522,f6(x2521))+~P18(f4(x2522,x2521))
% 0.81/0.85 [253]~P6(x2531)+~P7(x2532)+E(a3,x2531)+P16(x2532,f6(x2531))+~P4(f4(x2532,x2531))
% 0.81/0.85 [226]~P6(x2261)+~P6(x2262)+~P6(x2263)+P14(x2261,x2262)+~E(f5(x2263,x2262),x2261)
% 0.81/0.85 [227]~P6(x2271)+~P6(x2273)+~P6(x2272)+P9(x2271,x2272)+~E(f5(x2272,x2273),x2271)
% 0.81/0.85 [234]~E(x2343,x2341)+~P6(x2342)+~P7(x2341)+~P7(x2343)+P15(f4(x2341,x2342),x2343)
% 0.81/0.85 [236]~P6(x2362)+~P6(x2361)+~P6(x2363)+E(x2361,x2362)+~E(f5(x2363,x2361),f5(x2363,x2362))
% 0.81/0.85 [237]~P6(x2372)+~P6(x2373)+~P6(x2371)+E(x2371,x2372)+~E(f5(x2371,x2373),f5(x2372,x2373))
% 0.81/0.85 [254]~P6(x2541)+~P6(x2543)+~P6(x2542)+~P14(x2542,x2543)+P14(f5(x2541,x2542),x2543)
% 0.81/0.85 [255]~P6(x2552)+~P6(x2553)+~P6(x2551)+~P9(x2551,x2553)+P9(f5(x2551,x2552),x2553)
% 0.81/0.85 [256]~P6(x2562)+~P7(x2561)+~P7(x2563)+~P15(x2562,x2563)+P15(f4(x2561,x2562),x2563)
% 0.81/0.85 [257]~P6(x2571)+~P6(x2572)+~P7(x2573)+~P15(x2572,x2573)+P15(f5(x2571,x2572),x2573)
% 0.81/0.85 [258]~P6(x2582)+~P6(x2581)+~P7(x2583)+~P15(x2581,x2583)+P15(f5(x2581,x2582),x2583)
% 0.81/0.85 [259]~P4(x2591)+~P6(x2591)+~P7(x2592)+~P16(x2592,f6(x2591))+E(a3,x2591)+P4(f4(x2592,x2591))
% 0.81/0.85 [260]~P18(x2601)+~P6(x2601)+~P7(x2602)+~P8(x2602,f6(x2601))+E(a3,x2601)+P18(f4(x2602,x2601))
% 0.81/0.85 [244]~P7(x2442)+~P7(x2441)+~P10(x2443,x2442)+~P10(x2441,x2443)+P10(x2441,x2442)+~P7(x2443)
% 0.81/0.85 [245]~P6(x2452)+~P6(x2451)+~P13(x2453,x2452)+~P13(x2451,x2453)+P13(x2451,x2452)+~P6(x2453)
% 0.81/0.85 [246]~P6(x2462)+~P6(x2461)+~P14(x2463,x2462)+~P14(x2461,x2463)+P14(x2461,x2462)+~P6(x2463)
% 0.81/0.85 [247]~P6(x2472)+~P6(x2471)+~P9(x2473,x2472)+~P9(x2471,x2473)+P9(x2471,x2472)+~P6(x2473)
% 0.81/0.85 [248]~P7(x2482)+~P7(x2481)+~P8(x2483,x2482)+~P8(x2481,x2483)+P8(x2481,x2482)+~P7(x2483)
% 0.81/0.85 [249]~P7(x2492)+~P7(x2491)+~P8(x2491,x2493)+~P16(x2493,x2492)+P16(x2491,x2492)+~P7(x2493)
% 0.81/0.85 [250]~P7(x2502)+~P7(x2501)+~P16(x2503,x2502)+~P16(x2501,x2503)+P16(x2501,x2502)+~P7(x2503)
% 0.81/0.85 [251]~P7(x2512)+~P7(x2511)+~P11(x2513,x2512)+~P11(x2511,x2513)+P11(x2511,x2512)+~P7(x2513)
% 0.81/0.85 [263]~P6(x2633)+~P7(x2632)+~P7(x2631)+E(x2631,x2632)+P15(x2633,x2632)+~P15(f4(x2631,x2633),x2632)
% 0.81/0.85 [266]~P6(x2661)+~P6(x2663)+~P7(x2662)+P15(x2661,x2662)+P15(x2663,x2662)+~P15(f5(x2663,x2661),x2662)
% 0.81/0.85 [240]~P6(x2402)+~P6(x2401)+~P7(x2404)+~P7(x2403)+E(x2401,x2402)+~E(f4(x2403,x2401),f4(x2404,x2402))
% 0.81/0.85 [241]~P6(x2414)+~P6(x2413)+~P7(x2412)+~P7(x2411)+E(x2411,x2412)+~E(f4(x2411,x2413),f4(x2412,x2414))
% 0.81/0.85 [268]~P7(x2682)+~P7(x2681)+E(x2681,x2682)+~P6(x2683)+~P6(x2684)+~P9(f4(x2681,x2684),f4(x2682,x2683))
% 0.81/0.85 [270]~P6(x2702)+~P6(x2701)+P9(x2701,x2702)+~P7(x2703)+~P7(x2704)+~P9(f4(x2704,x2701),f4(x2703,x2702))
% 0.81/0.85 [264]~P6(x2641)+~P6(x2644)+~P6(x2643)+~P7(x2642)+P15(x2641,x2642)+~E(f5(x2643,f4(x2642,x2644)),x2641)
% 0.81/0.85 [265]~P6(x2651)+~P6(x2654)+~P6(x2652)+~P6(x2653)+P13(x2651,x2652)+~E(f5(f5(x2653,x2652),x2654),x2651)
% 0.81/0.85 [269]~P6(x2691)+~P6(x2693)+~P6(x2694)+~P6(x2692)+~P13(x2692,x2694)+P13(f5(f5(x2691,x2692),x2693),x2694)
% 0.81/0.85 [206]~P6(x2062)+~P6(x2061)+E(x2061,x2062)+E(a3,x2062)+E(a3,x2061)+~E(f59(x2061),f59(x2062))+~E(f6(x2061),f6(x2062))
% 0.81/0.85 [267]~E(x2671,x2673)+~P6(x2674)+~P6(x2672)+~P7(x2673)+~P7(x2671)+~P9(x2672,x2674)+P9(f4(x2671,x2672),f4(x2673,x2674))
% 0.81/0.85 [281]~P2(x2815)+~P6(x2815)+~P6(x2814)+~P6(x2813)+~P6(x2811)+~P7(x2812)+~E(f5(f5(x2811,f4(x2812,x2813)),f4(x2812,x2814)),x2815)
% 0.81/0.85 [274]~P1(x2745)+~P6(x2745)+~P6(x2744)+~P6(x2743)+~P7(x2742)+~P7(x2741)+E(x2741,x2742)+~E(f5(x2743,f4(x2741,f4(x2742,x2744))),x2745)
% 0.81/0.85 [287]~P6(x2875)+~P6(x2874)+~P6(x2873)+~P7(x2872)+~P7(x2871)+~P8(x2872,x2871)+P8(x2871,x2872)+~E(f5(f5(f5(f5(x2873,f4(x2871,a3)),x2874),f4(x2872,a3)),x2875),a1)
% 0.81/0.85 [282]~P18(x2826)+~P6(x2826)+~P6(x2825)+~P6(x2824)+~P6(x2823)+~P7(x2822)+~P7(x2821)+P8(x2821,x2822)+~E(f5(f5(x2823,f4(x2821,x2824)),f4(x2822,x2825)),x2826)
% 0.81/0.85 [283]~P4(x2836)+~P6(x2836)+~P6(x2835)+~P6(x2834)+~P6(x2833)+~P7(x2832)+~P7(x2831)+P16(x2831,x2832)+~E(f5(f5(x2833,f4(x2831,x2834)),f4(x2832,x2835)),x2836)
% 0.81/0.85 [284]P8(x2842,x2841)+~P19(x2846)+~P6(x2846)+~P6(x2845)+~P6(x2844)+~P6(x2843)+~P7(x2841)+~P7(x2842)+P8(x2841,x2842)+~E(f5(f5(x2843,f4(x2842,x2844)),f4(x2841,x2845)),x2846)
% 0.81/0.85 [285]P16(x2852,x2851)+~P5(x2856)+~P6(x2856)+~P6(x2855)+~P6(x2854)+~P6(x2853)+~P7(x2851)+~P7(x2852)+P16(x2851,x2852)+~E(f5(f5(x2853,f4(x2852,x2854)),f4(x2851,x2855)),x2856)
% 0.81/0.85 [286]~P3(x2866)+~P6(x2866)+~P6(x2865)+~P6(x2863)+~P6(x2861)+~P7(x2864)+~P7(x2862)+~P8(x2864,x2862)+~P8(x2862,x2864)+~E(f5(f5(x2861,f4(x2862,x2863)),f4(x2864,x2865)),x2866)
% 0.81/0.85 [288]~P6(x2886)+~P6(x2885)+~P6(x2883)+~P7(x2881)+~P7(x2882)+~P7(x2884)+~P8(x2882,x2884)+~P15(x2885,x2881)+P8(x2881,x2882)+~E(f5(f5(f5(f5(x2883,f4(x2884,a3)),x2885),f4(x2882,a3)),x2886),a1)
% 0.81/0.85 [289]~P6(x2896)+~P6(x2894)+~P6(x2893)+~P7(x2892)+~P7(x2895)+~P7(x2891)+~P8(x2895,x2891)+~P15(x2894,x2892)+P8(x2891,x2892)+~E(f5(f5(f5(f5(x2893,f4(x2891,a3)),x2894),f4(x2895,a3)),x2896),a1)
% 0.81/0.85 %EqnAxiom
% 0.81/0.85 [1]E(x11,x11)
% 0.81/0.85 [2]E(x22,x21)+~E(x21,x22)
% 0.81/0.85 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.81/0.85 [4]~E(x41,x42)+E(f17(x41),f17(x42))
% 0.81/0.85 [5]~E(x51,x52)+E(f18(x51),f18(x52))
% 0.81/0.85 [6]~E(x61,x62)+E(f19(x61),f19(x62))
% 0.81/0.85 [7]~E(x71,x72)+E(f20(x71),f20(x72))
% 0.81/0.85 [8]~E(x81,x82)+E(f21(x81),f21(x82))
% 0.81/0.85 [9]~E(x91,x92)+E(f22(x91),f22(x92))
% 0.81/0.85 [10]~E(x101,x102)+E(f23(x101),f23(x102))
% 0.81/0.85 [11]~E(x111,x112)+E(f24(x111),f24(x112))
% 0.81/0.85 [12]~E(x121,x122)+E(f25(x121),f25(x122))
% 0.81/0.85 [13]~E(x131,x132)+E(f26(x131),f26(x132))
% 0.81/0.85 [14]~E(x141,x142)+E(f27(x141),f27(x142))
% 0.81/0.85 [15]~E(x151,x152)+E(f28(x151),f28(x152))
% 0.81/0.85 [16]~E(x161,x162)+E(f29(x161),f29(x162))
% 0.81/0.85 [17]~E(x171,x172)+E(f30(x171),f30(x172))
% 0.81/0.85 [18]~E(x181,x182)+E(f31(x181),f31(x182))
% 0.81/0.85 [19]~E(x191,x192)+E(f32(x191),f32(x192))
% 0.81/0.85 [20]~E(x201,x202)+E(f33(x201),f33(x202))
% 0.81/0.85 [21]~E(x211,x212)+E(f34(x211),f34(x212))
% 0.81/0.85 [22]~E(x221,x222)+E(f35(x221),f35(x222))
% 0.81/0.85 [23]~E(x231,x232)+E(f36(x231),f36(x232))
% 0.81/0.85 [24]~E(x241,x242)+E(f37(x241),f37(x242))
% 0.81/0.85 [25]~E(x251,x252)+E(f58(x251),f58(x252))
% 0.81/0.85 [26]~E(x261,x262)+E(f56(x261),f56(x262))
% 0.81/0.85 [27]~E(x271,x272)+E(f57(x271),f57(x272))
% 0.81/0.85 [28]~E(x281,x282)+E(f55(x281),f55(x282))
% 0.81/0.85 [29]~E(x291,x292)+E(f53(x291),f53(x292))
% 0.81/0.85 [30]~E(x301,x302)+E(f54(x301),f54(x302))
% 0.81/0.85 [31]~E(x311,x312)+E(f51(x311),f51(x312))
% 0.81/0.85 [32]~E(x321,x322)+E(f52(x321),f52(x322))
% 0.81/0.85 [33]~E(x331,x332)+E(f49(x331),f49(x332))
% 0.81/0.85 [34]~E(x341,x342)+E(f50(x341),f50(x342))
% 0.81/0.85 [35]~E(x351,x352)+E(f47(x351),f47(x352))
% 0.81/0.85 [36]~E(x361,x362)+E(f48(x361),f48(x362))
% 0.81/0.85 [37]~E(x371,x372)+E(f38(x371),f38(x372))
% 0.81/0.85 [38]~E(x381,x382)+E(f39(x381),f39(x382))
% 0.81/0.85 [39]~E(x391,x392)+E(f40(x391),f40(x392))
% 0.81/0.85 [40]~E(x401,x402)+E(f43(x401,x403),f43(x402,x403))
% 0.81/0.85 [41]~E(x411,x412)+E(f43(x413,x411),f43(x413,x412))
% 0.81/0.85 [42]~E(x421,x422)+E(f44(x421,x423),f44(x422,x423))
% 0.81/0.85 [43]~E(x431,x432)+E(f44(x433,x431),f44(x433,x432))
% 0.81/0.85 [44]~E(x441,x442)+E(f45(x441,x443),f45(x442,x443))
% 0.81/0.85 [45]~E(x451,x452)+E(f45(x453,x451),f45(x453,x452))
% 0.81/0.85 [46]~E(x461,x462)+E(f46(x461,x463),f46(x462,x463))
% 0.81/0.85 [47]~E(x471,x472)+E(f46(x473,x471),f46(x473,x472))
% 0.81/0.85 [48]~E(x481,x482)+E(f41(x481,x483),f41(x482,x483))
% 0.81/0.85 [49]~E(x491,x492)+E(f41(x493,x491),f41(x493,x492))
% 0.81/0.85 [50]~E(x501,x502)+E(f42(x501,x503),f42(x502,x503))
% 0.81/0.85 [51]~E(x511,x512)+E(f42(x513,x511),f42(x513,x512))
% 0.81/0.85 [52]~E(x521,x522)+E(f4(x521,x523),f4(x522,x523))
% 0.81/0.85 [53]~E(x531,x532)+E(f4(x533,x531),f4(x533,x532))
% 0.81/0.85 [54]~E(x541,x542)+E(f5(x541,x543),f5(x542,x543))
% 0.81/0.85 [55]~E(x551,x552)+E(f5(x553,x551),f5(x553,x552))
% 0.81/0.85 [56]~E(x561,x562)+E(f6(x561),f6(x562))
% 0.81/0.85 [57]~E(x571,x572)+E(f59(x571),f59(x572))
% 0.81/0.85 [58]~P1(x581)+P1(x582)+~E(x581,x582)
% 0.81/0.85 [59]~P2(x591)+P2(x592)+~E(x591,x592)
% 0.81/0.85 [60]~P4(x601)+P4(x602)+~E(x601,x602)
% 0.81/0.85 [61]~P18(x611)+P18(x612)+~E(x611,x612)
% 0.81/0.85 [62]~P5(x621)+P5(x622)+~E(x621,x622)
% 0.81/0.85 [63]~P19(x631)+P19(x632)+~E(x631,x632)
% 0.81/0.85 [64]~P3(x641)+P3(x642)+~E(x641,x642)
% 0.81/0.85 [65]~P6(x651)+P6(x652)+~E(x651,x652)
% 0.81/0.85 [66]~P7(x661)+P7(x662)+~E(x661,x662)
% 0.81/0.86 [67]P9(x672,x673)+~E(x671,x672)+~P9(x671,x673)
% 0.81/0.86 [68]P9(x683,x682)+~E(x681,x682)+~P9(x683,x681)
% 0.81/0.86 [69]P8(x692,x693)+~E(x691,x692)+~P8(x691,x693)
% 0.81/0.86 [70]P8(x703,x702)+~E(x701,x702)+~P8(x703,x701)
% 0.81/0.86 [71]P16(x712,x713)+~E(x711,x712)+~P16(x711,x713)
% 0.81/0.86 [72]P16(x723,x722)+~E(x721,x722)+~P16(x723,x721)
% 0.81/0.86 [73]P15(x732,x733)+~E(x731,x732)+~P15(x731,x733)
% 0.81/0.86 [74]P15(x743,x742)+~E(x741,x742)+~P15(x743,x741)
% 0.81/0.86 [75]P14(x752,x753)+~E(x751,x752)+~P14(x751,x753)
% 0.81/0.86 [76]P14(x763,x762)+~E(x761,x762)+~P14(x763,x761)
% 0.81/0.86 [77]P17(x772,x773)+~E(x771,x772)+~P17(x771,x773)
% 0.81/0.86 [78]P17(x783,x782)+~E(x781,x782)+~P17(x783,x781)
% 0.81/0.86 [79]~P12(x791)+P12(x792)+~E(x791,x792)
% 0.81/0.86 [80]P11(x802,x803)+~E(x801,x802)+~P11(x801,x803)
% 0.81/0.86 [81]P11(x813,x812)+~E(x811,x812)+~P11(x813,x811)
% 0.81/0.86 [82]P10(x822,x823)+~E(x821,x822)+~P10(x821,x823)
% 0.81/0.86 [83]P10(x833,x832)+~E(x831,x832)+~P10(x833,x831)
% 0.81/0.86 [84]P13(x842,x843)+~E(x841,x842)+~P13(x841,x843)
% 0.81/0.86 [85]P13(x853,x852)+~E(x851,x852)+~P13(x853,x851)
% 0.81/0.86
% 0.81/0.86 %-------------------------------------------
% 0.81/0.86 cnf(294,plain,
% 0.81/0.86 (~P17(x2941,x2941)+~P6(x2941)+~P6(x2941)),
% 0.81/0.86 inference(equality_inference,[],[199])).
% 0.81/0.86 cnf(296,plain,
% 0.81/0.86 (~P17(x2961,x2961)+~P7(x2961)+~P7(x2961)),
% 0.81/0.86 inference(equality_inference,[],[201])).
% 0.81/0.86 cnf(362,plain,
% 0.81/0.86 (E(a1,f5(f5(f5(f5(a10,f4(a11,a3)),a13),f4(a12,a3)),a14))),
% 0.81/0.86 inference(scs_inference,[],[86,98,150,103,178,2,294,3])).
% 0.81/0.86 cnf(376,plain,
% 0.81/0.86 (E(f5(f5(f5(f5(a10,f4(a11,a3)),a13),f4(a12,a3)),a14),a1)),
% 0.81/0.86 inference(scs_inference,[],[362,104,178,2])).
% 0.81/0.86 cnf(381,plain,
% 0.81/0.86 (P8(a11,a12)),
% 0.81/0.86 inference(scs_inference,[],[143,100,101,102,105,106,362,104,178,2,294,296,287])).
% 0.81/0.86 cnf(401,plain,
% 0.81/0.86 (P7(a8)),
% 0.81/0.86 inference(scs_inference,[],[381,163])).
% 0.81/0.86 cnf(402,plain,
% 0.81/0.86 (P15(a13,a8)),
% 0.81/0.86 inference(scs_inference,[],[381,177])).
% 0.81/0.86 cnf(403,plain,
% 0.81/0.86 (~P8(a11,a8)+~P8(a8,a12)),
% 0.81/0.86 inference(scs_inference,[],[381,223])).
% 0.81/0.86 cnf(426,plain,
% 0.81/0.86 ($false),
% 0.81/0.86 inference(scs_inference,[],[143,102,100,101,106,105,376,401,402,178,294,296,288,289,403]),
% 0.81/0.86 ['proof']).
% 0.81/0.86 % SZS output end Proof
% 0.81/0.86 % Total time :0.180000s
%------------------------------------------------------------------------------